question,proof_chain,label,depth
"Facts: 
Rules:
exuberant [IMPLY] tense [PERIOD]
mysterious [IMPLY] bad-tempered [PERIOD]
gorgeous [AND] inquisitive [IMPLY] helpful [PERIOD]
helpful [IMPLY] inquisitive [PERIOD]
agreeable [AND] hurt [IMPLY] serious [PERIOD]
embarrassed [AND] ugly [IMPLY] intellectual [PERIOD]
helpful [AND] exuberant [AND] scared [IMPLY] tender [PERIOD]
inquisitive [AND] serious [AND] tense [IMPLY] cute [PERIOD]
bad-tempered [IMPLY] serious [PERIOD]
clumsy [AND] tender [AND] serious [IMPLY] bad-tempered [PERIOD]
cute [AND] bad-tempered [IMPLY] tense [PERIOD]
worrisome [AND] outstanding [IMPLY] mysterious [PERIOD]
worrisome [IMPLY] outstanding [PERIOD]
helpful [AND] cute [IMPLY] embarrassed [PERIOD]
bad-tempered [IMPLY] cute [PERIOD]
agreeable [AND] tender [IMPLY] outstanding [PERIOD]
clumsy [AND] worrisome [IMPLY] embarrassed [PERIOD]
inquisitive [IMPLY] serious [PERIOD]
outstanding [AND] scared [AND] gorgeous [IMPLY] mysterious [PERIOD]
exuberant [AND] ugly [AND] scared [IMPLY] bad-tempered [PERIOD]
worrisome [AND] mean [AND] gorgeous [IMPLY] outstanding [PERIOD]
gorgeous [IMPLY] clumsy [PERIOD]
worrisome [IMPLY] clumsy [PERIOD]
agreeable [AND] exuberant [IMPLY] mysterious [PERIOD]
helpful [AND] embarrassed [IMPLY] clumsy [PERIOD]
tender [AND] mean [IMPLY] clumsy [PERIOD]
serious [AND] tense [AND] intellectual [IMPLY] plain [PERIOD]
tense [AND] hurt [AND] gorgeous [IMPLY] cute [PERIOD]
tender [AND] worrisome [IMPLY] agreeable [PERIOD]
hurt [IMPLY] outstanding [PERIOD]
mean [IMPLY] mysterious [PERIOD]
serious [AND] bad-tempered [AND] plain [IMPLY] tender [PERIOD]
mean [AND] mysterious [IMPLY] intellectual [PERIOD]
clumsy [AND] embarrassed [IMPLY] scared [PERIOD]
cute [IMPLY] hurt [PERIOD]
outstanding [IMPLY] worrisome [PERIOD]
clumsy [AND] gorgeous [AND] bad-tempered [IMPLY] mean [PERIOD]
cute [IMPLY] mean [PERIOD]
helpful [AND] gorgeous [IMPLY] mean [PERIOD]
hurt [AND] plain [AND] exuberant [IMPLY] cute [PERIOD]
exuberant [IMPLY] embarrassed [PERIOD]
helpful [IMPLY] agreeable [PERIOD]
outstanding [IMPLY] mysterious [PERIOD]
tender [AND] serious [AND] plain [IMPLY] hurt [PERIOD]
tender [AND] mean [AND] plain [IMPLY] cute [PERIOD]
hurt [AND] intellectual [IMPLY] cute [PERIOD]
cute [AND] gorgeous [AND] mean [IMPLY] tense [PERIOD]
plain [AND] mysterious [IMPLY] worrisome [PERIOD]
inquisitive [AND] embarrassed [IMPLY] intellectual [PERIOD]
mysterious [IMPLY] tense [PERIOD]
plain [AND] bad-tempered [IMPLY] outstanding [PERIOD]
worrisome [AND] embarrassed [IMPLY] bad-tempered [PERIOD]
agreeable [AND] ugly [IMPLY] scared [PERIOD]
gorgeous [AND] inquisitive [IMPLY] cute [PERIOD]
helpful [IMPLY] ugly [PERIOD]
serious [AND] tense [AND] outstanding [IMPLY] helpful [PERIOD]
exuberant [IMPLY] intellectual [PERIOD]
outstanding [AND] plain [IMPLY] mean [PERIOD]
mysterious [AND] tense [AND] exuberant [IMPLY] helpful [PERIOD]
mysterious [AND] ugly [IMPLY] helpful [PERIOD]
tense [AND] plain [AND] ugly [IMPLY] scared [PERIOD]
outstanding [AND] inquisitive [AND] cute [IMPLY] clumsy [PERIOD]
bad-tempered [AND] agreeable [IMPLY] intellectual [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   Cannot apply rule “embarrassed ∧ ugly ⇒ intellectual” because missing: embarrassed, ugly.
   Cannot apply rule “mean ∧ mysterious ⇒ intellectual” because missing: mean, mysterious.
   Cannot apply rule “inquisitive ∧ embarrassed ⇒ intellectual” because missing: inquisitive, embarrassed.
   Cannot apply rule “exuberant ⇒ intellectual” because missing: exuberant.
   Cannot apply rule “bad-tempered ∧ agreeable ⇒ intellectual” because missing: bad-tempered, agreeable.
",0,5
"Facts:  Alice is shy [PERIOD] Alice is reserved [PERIOD] Alice is aggressive [PERIOD] Alice is wrong [PERIOD] Alice is hurt [PERIOD] Alice is disobedient [PERIOD] Alice is light [PERIOD]
Rules:
fearless [IMPLY] polite [PERIOD]
polite [AND] cute [IMPLY] disobedient [PERIOD]
shy [IMPLY] witty [PERIOD]
wandering [IMPLY] tired [PERIOD]
wandering [AND] reserved [AND] light [IMPLY] careless [PERIOD]
cute [AND] wrong [AND] disgusted [IMPLY] confident [PERIOD]
confident [AND] cute [IMPLY] wrong [PERIOD]
tired [AND] proud [IMPLY] polite [PERIOD]
fearless [AND] proud [IMPLY] disobedient [PERIOD]
confused [IMPLY] shy [PERIOD]
proud [AND] aggressive [AND] cute [IMPLY] fearless [PERIOD]
fearless [AND] light [IMPLY] polite [PERIOD]
foolish [IMPLY] bad-tempered [PERIOD]
wandering [IMPLY] witty [PERIOD]
careless [AND] fearless [IMPLY] bad-tempered [PERIOD]
shy [AND] tired [IMPLY] easy [PERIOD]
bad-tempered [AND] fearless [IMPLY] proud [PERIOD]
witty [AND] shy [AND] tired [IMPLY] cute [PERIOD]
light [IMPLY] foolish [PERIOD]
disobedient [IMPLY] aggressive [PERIOD]
disobedient [IMPLY] light [PERIOD]
cute [AND] proud [IMPLY] wandering [PERIOD]
reserved [IMPLY] easy [PERIOD]
confused [IMPLY] wandering [PERIOD]
disobedient [IMPLY] cute [PERIOD]
careless [AND] wrong [IMPLY] witty [PERIOD]
tense [IMPLY] tired [PERIOD]
hurt [AND] aggressive [IMPLY] wandering [PERIOD]
witty [IMPLY] foolish [PERIOD]
hurt [IMPLY] foolish [PERIOD]
disgusted [IMPLY] hurt [PERIOD]
reserved [IMPLY] confused [PERIOD]
bad-tempered [AND] disgusted [IMPLY] foolish [PERIOD]
cute [IMPLY] confused [PERIOD]
hurt [IMPLY] confused [PERIOD]
confused [IMPLY] disobedient [PERIOD]
wandering [IMPLY] aggressive [PERIOD]
polite [AND] disobedient [IMPLY] proud [PERIOD]
proud [AND] easy [AND] light [IMPLY] tense [PERIOD]
easy [AND] tired [IMPLY] witty [PERIOD]
witty [AND] polite [IMPLY] confident [PERIOD]
foolish [AND] shy [AND] tired [IMPLY] polite [PERIOD]
tense [AND] confident [AND] wandering [IMPLY] reserved [PERIOD]
confident [AND] tense [IMPLY] fearless [PERIOD]
cute [AND] confident [IMPLY] tense [PERIOD]
wandering [IMPLY] fearless [PERIOD]
hurt [AND] witty [AND] foolish [IMPLY] cute [PERIOD]
light [AND] proud [AND] aggressive [IMPLY] wandering [PERIOD]
tense [AND] wrong [IMPLY] shy [PERIOD]
tense [IMPLY] witty [PERIOD]
fearless [AND] careless [IMPLY] easy [PERIOD]
easy [AND] confident [IMPLY] bad-tempered [PERIOD]
tired [IMPLY] confused [PERIOD]
aggressive [AND] tense [AND] witty [IMPLY] tired [PERIOD]
foolish [AND] tense [IMPLY] confident [PERIOD]
witty [IMPLY] wandering [PERIOD]
confident [IMPLY] foolish [PERIOD]
wandering [AND] fearless [AND] witty [IMPLY] disgusted [PERIOD]
polite [AND] disobedient [IMPLY] wrong [PERIOD]
confident [IMPLY] fearless [PERIOD]
tense [AND] confident [IMPLY] disobedient [PERIOD]
foolish [AND] confused [IMPLY] wrong [PERIOD]
hurt [AND] disobedient [AND] disgusted [IMPLY] tense [PERIOD]
wrong [AND] careless [AND] light [IMPLY] witty [PERIOD]
polite [AND] tired [IMPLY] shy [PERIOD]
bad-tempered [AND] cute [AND] fearless [IMPLY] proud [PERIOD]
disgusted [AND] aggressive [AND] proud [IMPLY] fearless [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   hurt ∧ aggressive ⇒ wandering
   hurt ∧ aggressive ⇒ wandering
   wandering ⇒ fearless
   shy ⇒ witty
   wandering ∧ fearless ∧ witty ⇒ disgusted
   hurt ∧ disobedient ∧ disgusted ⇒ tense
",1,6
"Facts: 
Rules:
wide-eyed [AND] friendly [AND] enchanting [IMPLY] disgusted [PERIOD]
homely [AND] proud [AND] friendly [IMPLY] wide-eyed [PERIOD]
homely [AND] friendly [IMPLY] proud [PERIOD]
disgusted [IMPLY] wide-eyed [PERIOD]
disgusted [AND] enchanting [IMPLY] proud [PERIOD]
enchanting [AND] proud [AND] disgusted [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] enchanting [AND] proud [IMPLY] friendly [PERIOD]
homely [AND] enchanting [AND] proud [IMPLY] disgusted [PERIOD]
enchanting [AND] wide-eyed [AND] friendly [IMPLY] homely [PERIOD]
homely [AND] disgusted [AND] proud [IMPLY] wide-eyed [PERIOD]
homely [IMPLY] wide-eyed [PERIOD]
disgusted [IMPLY] homely [PERIOD]
disgusted [AND] homely [IMPLY] enchanting [PERIOD]
homely [IMPLY] friendly [PERIOD]
wide-eyed [AND] disgusted [AND] enchanting [IMPLY] homely [PERIOD]
proud [AND] enchanting [IMPLY] friendly [PERIOD]
proud [AND] homely [AND] wide-eyed [IMPLY] enchanting [PERIOD]
homely [IMPLY] enchanting [PERIOD]
enchanting [AND] wide-eyed [AND] proud [IMPLY] disgusted [PERIOD]
friendly [AND] homely [AND] wide-eyed [IMPLY] disgusted [PERIOD]
Query: Alice is disgusted [PERIOD]","Proof chain:
   Cannot apply rule “wide-eyed ∧ friendly ∧ enchanting ⇒ disgusted” because missing: wide-eyed, friendly, enchanting.
   Cannot apply rule “homely ∧ enchanting ∧ proud ⇒ disgusted” because missing: homely, enchanting, proud.
   Cannot apply rule “enchanting ∧ wide-eyed ∧ proud ⇒ disgusted” because missing: enchanting, wide-eyed, proud.
   Cannot apply rule “friendly ∧ homely ∧ wide-eyed ⇒ disgusted” because missing: friendly, homely, wide-eyed.
",0,4
"Facts:  Alice is weary [PERIOD] Alice is loving [PERIOD]
Rules:
clumsy [AND] charming [IMPLY] horrible [PERIOD]
cute [IMPLY] disgusted [PERIOD]
horrible [AND] weary [IMPLY] charming [PERIOD]
horrible [AND] clumsy [AND] weary [IMPLY] charming [PERIOD]
disgusted [IMPLY] bright [PERIOD]
fancy [AND] ambitious [AND] bright [IMPLY] cute [PERIOD]
zealous [IMPLY] witty [PERIOD]
clumsy [AND] shiny [AND] fancy [IMPLY] different [PERIOD]
ambitious [AND] gleaming [IMPLY] blushing [PERIOD]
straightforward [AND] charming [IMPLY] gleaming [PERIOD]
shiny [AND] straightforward [IMPLY] disgusted [PERIOD]
weary [IMPLY] straightforward [PERIOD]
charming [AND] disgusted [AND] bright [IMPLY] witty [PERIOD]
shiny [IMPLY] zealous [PERIOD]
charming [IMPLY] cute [PERIOD]
pleasant [AND] disgusted [IMPLY] alert [PERIOD]
cute [AND] alert [IMPLY] loving [PERIOD]
fancy [AND] zealous [AND] shiny [IMPLY] alert [PERIOD]
tender [AND] bright [AND] witty [IMPLY] different [PERIOD]
disgusted [AND] straightforward [IMPLY] horrible [PERIOD]
gleaming [AND] different [IMPLY] blushing [PERIOD]
gleaming [AND] cute [IMPLY] zealous [PERIOD]
loving [AND] horrible [AND] weary [IMPLY] alert [PERIOD]
clumsy [IMPLY] disgusted [PERIOD]
tender [AND] zealous [AND] loving [IMPLY] charming [PERIOD]
alert [IMPLY] cute [PERIOD]
alert [AND] bright [AND] horrible [IMPLY] blushing [PERIOD]
witty [IMPLY] horrible [PERIOD]
charming [AND] blushing [IMPLY] fancy [PERIOD]
blushing [IMPLY] witty [PERIOD]
ambitious [AND] loving [IMPLY] tender [PERIOD]
shiny [AND] charming [AND] pleasant [IMPLY] witty [PERIOD]
horrible [AND] disgusted [IMPLY] clumsy [PERIOD]
straightforward [AND] zealous [AND] different [IMPLY] witty [PERIOD]
witty [AND] horrible [IMPLY] gleaming [PERIOD]
charming [AND] shiny [IMPLY] alert [PERIOD]
blushing [AND] fancy [AND] alert [IMPLY] straightforward [PERIOD]
charming [IMPLY] ambitious [PERIOD]
alert [AND] shiny [AND] cute [IMPLY] gleaming [PERIOD]
pleasant [IMPLY] cute [PERIOD]
tender [IMPLY] witty [PERIOD]
alert [IMPLY] zealous [PERIOD]
cute [AND] straightforward [IMPLY] weary [PERIOD]
straightforward [IMPLY] loving [PERIOD]
witty [AND] charming [IMPLY] bright [PERIOD]
shiny [AND] gleaming [IMPLY] alert [PERIOD]
gleaming [IMPLY] cute [PERIOD]
weary [IMPLY] clumsy [PERIOD]
different [AND] shiny [IMPLY] pleasant [PERIOD]
fancy [AND] gleaming [IMPLY] clumsy [PERIOD]
blushing [AND] shiny [AND] bright [IMPLY] tender [PERIOD]
pleasant [AND] gleaming [IMPLY] witty [PERIOD]
gleaming [AND] cute [AND] weary [IMPLY] loving [PERIOD]
fancy [IMPLY] weary [PERIOD]
shiny [IMPLY] loving [PERIOD]
different [AND] shiny [AND] weary [IMPLY] pleasant [PERIOD]
fancy [IMPLY] cute [PERIOD]
loving [IMPLY] disgusted [PERIOD]
loving [AND] charming [AND] shiny [IMPLY] gleaming [PERIOD]
loving [AND] alert [IMPLY] different [PERIOD]
weary [IMPLY] charming [PERIOD]
disgusted [AND] cute [IMPLY] shiny [PERIOD]
disgusted [AND] charming [AND] bright [IMPLY] tender [PERIOD]
ambitious [IMPLY] alert [PERIOD]
different [AND] loving [AND] clumsy [IMPLY] bright [PERIOD]
cute [AND] zealous [IMPLY] alert [PERIOD]
different [AND] alert [IMPLY] zealous [PERIOD]
zealous [AND] shiny [AND] disgusted [IMPLY] cute [PERIOD]
shiny [AND] bright [AND] horrible [IMPLY] pleasant [PERIOD]
zealous [IMPLY] bright [PERIOD]
fancy [IMPLY] loving [PERIOD]
witty [IMPLY] weary [PERIOD]
zealous [IMPLY] clumsy [PERIOD]
tender [AND] different [IMPLY] loving [PERIOD]
alert [AND] ambitious [IMPLY] clumsy [PERIOD]
loving [IMPLY] bright [PERIOD]
bright [IMPLY] different [PERIOD]
charming [AND] alert [IMPLY] different [PERIOD]
weary [AND] alert [IMPLY] ambitious [PERIOD]
disgusted [AND] gleaming [AND] fancy [IMPLY] weary [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   loving ⇒ disgusted
   weary ⇒ charming
   charming ⇒ cute
   disgusted ∧ cute ⇒ shiny
",1,4
"Facts: 
Rules:
confident [IMPLY] sleepy [PERIOD]
attentive [AND] sleepy [AND] clumsy [IMPLY] inexpensive [PERIOD]
unpleasant [AND] confident [IMPLY] vivacious [PERIOD]
confident [AND] hurt [IMPLY] attentive [PERIOD]
shiny [IMPLY] joyous [PERIOD]
mean [IMPLY] thoughtless [PERIOD]
silly [AND] sleepy [AND] inexpensive [IMPLY] versatile [PERIOD]
uptight [IMPLY] perfect [PERIOD]
perfect [AND] sensible [IMPLY] crowded [PERIOD]
amused [AND] sensible [AND] shiny [IMPLY] unpleasant [PERIOD]
shiny [AND] silly [IMPLY] sincere [PERIOD]
mean [IMPLY] uptight [PERIOD]
vivacious [IMPLY] straightforward [PERIOD]
perfect [AND] amused [AND] hurt [IMPLY] versatile [PERIOD]
amused [AND] sensible [AND] confident [IMPLY] silly [PERIOD]
shiny [AND] crowded [AND] uptight [IMPLY] fearless [PERIOD]
versatile [IMPLY] uptight [PERIOD]
shiny [AND] elated [AND] talented [IMPLY] clumsy [PERIOD]
impatient [IMPLY] unpleasant [PERIOD]
joyous [AND] sincere [AND] clumsy [IMPLY] vivacious [PERIOD]
shiny [AND] thoughtless [IMPLY] clumsy [PERIOD]
sensible [IMPLY] vivacious [PERIOD]
sincere [IMPLY] attentive [PERIOD]
silly [AND] talented [IMPLY] mean [PERIOD]
inexpensive [IMPLY] sincere [PERIOD]
mean [AND] unpleasant [AND] sensible [IMPLY] attentive [PERIOD]
amused [AND] inexpensive [AND] versatile [IMPLY] silly [PERIOD]
amused [IMPLY] inexpensive [PERIOD]
fearless [AND] amused [AND] clumsy [IMPLY] sleepy [PERIOD]
inexpensive [AND] impatient [AND] hurt [IMPLY] joyous [PERIOD]
unpleasant [AND] silly [IMPLY] sleepy [PERIOD]
crowded [AND] talented [AND] versatile [IMPLY] thoughtless [PERIOD]
clumsy [AND] impatient [IMPLY] perfect [PERIOD]
hurt [IMPLY] confident [PERIOD]
sensible [AND] talented [IMPLY] inexpensive [PERIOD]
clumsy [AND] sincere [AND] uptight [IMPLY] hurt [PERIOD]
attentive [AND] inexpensive [AND] sleepy [IMPLY] clumsy [PERIOD]
shiny [IMPLY] uptight [PERIOD]
clumsy [IMPLY] shiny [PERIOD]
crowded [AND] shiny [AND] sleepy [IMPLY] sensible [PERIOD]
mean [IMPLY] fearless [PERIOD]
elated [AND] talented [IMPLY] hurt [PERIOD]
uptight [AND] elated [IMPLY] talented [PERIOD]
attentive [IMPLY] sincere [PERIOD]
sincere [IMPLY] silly [PERIOD]
impatient [AND] vivacious [IMPLY] sensible [PERIOD]
versatile [AND] unpleasant [AND] shiny [IMPLY] straightforward [PERIOD]
unpleasant [AND] joyous [IMPLY] confident [PERIOD]
attentive [AND] sensible [IMPLY] inexpensive [PERIOD]
sincere [AND] shiny [IMPLY] silly [PERIOD]
impatient [IMPLY] inexpensive [PERIOD]
shiny [AND] joyous [IMPLY] talented [PERIOD]
confident [AND] attentive [IMPLY] talented [PERIOD]
clumsy [AND] shiny [IMPLY] unpleasant [PERIOD]
perfect [AND] sleepy [AND] amused [IMPLY] hurt [PERIOD]
fearless [IMPLY] vivacious [PERIOD]
mean [AND] silly [IMPLY] versatile [PERIOD]
shiny [AND] hurt [AND] joyous [IMPLY] sleepy [PERIOD]
shiny [IMPLY] sensible [PERIOD]
silly [AND] confident [IMPLY] inexpensive [PERIOD]
sincere [IMPLY] crowded [PERIOD]
shiny [IMPLY] fearless [PERIOD]
silly [AND] sleepy [AND] inexpensive [IMPLY] mean [PERIOD]
mean [AND] elated [IMPLY] amused [PERIOD]
elated [AND] straightforward [AND] inexpensive [IMPLY] sensible [PERIOD]
straightforward [AND] sleepy [IMPLY] vivacious [PERIOD]
versatile [IMPLY] amused [PERIOD]
talented [AND] uptight [AND] mean [IMPLY] fearless [PERIOD]
mean [IMPLY] inexpensive [PERIOD]
vivacious [IMPLY] fearless [PERIOD]
attentive [AND] fearless [IMPLY] crowded [PERIOD]
versatile [IMPLY] thoughtless [PERIOD]
hurt [IMPLY] joyous [PERIOD]
straightforward [AND] perfect [AND] crowded [IMPLY] silly [PERIOD]
shiny [AND] impatient [IMPLY] perfect [PERIOD]
inexpensive [AND] sleepy [IMPLY] impatient [PERIOD]
vivacious [AND] perfect [IMPLY] uptight [PERIOD]
sensible [AND] clumsy [AND] uptight [IMPLY] elated [PERIOD]
attentive [AND] sleepy [IMPLY] shiny [PERIOD]
impatient [AND] mean [AND] joyous [IMPLY] elated [PERIOD]
inexpensive [AND] versatile [IMPLY] talented [PERIOD]
straightforward [IMPLY] sensible [PERIOD]
talented [AND] fearless [IMPLY] hurt [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
   Cannot apply rule “shiny ⇒ joyous” because missing: shiny.
   Cannot apply rule “inexpensive ∧ impatient ∧ hurt ⇒ joyous” because missing: inexpensive, impatient, hurt.
   Cannot apply rule “hurt ⇒ joyous” because missing: hurt.
",0,3
"Facts: 
Rules:
adorable [IMPLY] wandering [PERIOD]
tense [AND] proud [AND] alert [IMPLY] adorable [PERIOD]
versatile [IMPLY] busy [PERIOD]
elegant [AND] famous [IMPLY] versatile [PERIOD]
long [IMPLY] famous [PERIOD]
plain [AND] dishonest [AND] ugly [IMPLY] wandering [PERIOD]
proud [IMPLY] ugly [PERIOD]
proud [IMPLY] adorable [PERIOD]
versatile [IMPLY] elegant [PERIOD]
proud [IMPLY] cooperative [PERIOD]
proud [AND] plain [IMPLY] dishonest [PERIOD]
famous [IMPLY] elegant [PERIOD]
versatile [AND] dishonest [IMPLY] wandering [PERIOD]
busy [AND] spotless [AND] cooperative [IMPLY] adorable [PERIOD]
tense [AND] excited [IMPLY] busy [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   Cannot apply rule “versatile ⇒ elegant” because missing: versatile.
   Cannot apply rule “famous ⇒ elegant” because missing: famous.
",0,2
"Facts:  Alice is friendly [PERIOD] Alice is pleasant [PERIOD] Alice is foolish [PERIOD] Alice is dishonest [PERIOD] Alice is unpleasant [PERIOD] Alice is hurt [PERIOD] Alice is beautiful [PERIOD] Alice is careless [PERIOD]
Rules:
dishonest [IMPLY] pleasant [PERIOD]
inexpensive [AND] beautiful [AND] unpleasant [IMPLY] comfortable [PERIOD]
unpleasant [IMPLY] beautiful [PERIOD]
excited [AND] lonely [IMPLY] ambitious [PERIOD]
mysterious [AND] nervous [AND] bright [IMPLY] friendly [PERIOD]
beautiful [IMPLY] modern [PERIOD]
dishonest [AND] friendly [AND] homely [IMPLY] powerful [PERIOD]
gifted [IMPLY] foolish [PERIOD]
excited [AND] ambitious [IMPLY] gifted [PERIOD]
powerful [AND] ambitious [IMPLY] careless [PERIOD]
comfortable [AND] tame [IMPLY] modern [PERIOD]
homely [AND] ugly [AND] nervous [IMPLY] pleasant [PERIOD]
long [IMPLY] inexpensive [PERIOD]
foolish [IMPLY] lonely [PERIOD]
unpleasant [AND] nervous [AND] careless [IMPLY] inexpensive [PERIOD]
beautiful [AND] hurt [IMPLY] homely [PERIOD]
nervous [AND] careless [IMPLY] unpleasant [PERIOD]
ugly [IMPLY] careless [PERIOD]
clean [AND] careless [IMPLY] dishonest [PERIOD]
powerful [AND] bright [AND] gifted [IMPLY] attractive [PERIOD]
attractive [AND] nervous [AND] foolish [IMPLY] gifted [PERIOD]
pleasant [AND] foolish [AND] hurt [IMPLY] inexpensive [PERIOD]
nervous [AND] modern [AND] ugly [IMPLY] careless [PERIOD]
long [AND] powerful [AND] homely [IMPLY] gifted [PERIOD]
homely [AND] mysterious [AND] nervous [IMPLY] tame [PERIOD]
long [AND] beautiful [IMPLY] unpleasant [PERIOD]
attractive [AND] lonely [AND] pleasant [IMPLY] powerful [PERIOD]
gifted [IMPLY] homely [PERIOD]
bright [AND] careless [AND] beautiful [IMPLY] tame [PERIOD]
hurt [AND] bright [IMPLY] beautiful [PERIOD]
mysterious [AND] lonely [AND] bright [IMPLY] careless [PERIOD]
clean [AND] hurt [IMPLY] homely [PERIOD]
excited [IMPLY] bright [PERIOD]
hurt [AND] homely [AND] modern [IMPLY] friendly [PERIOD]
inexpensive [IMPLY] excited [PERIOD]
friendly [IMPLY] excited [PERIOD]
hurt [IMPLY] ambitious [PERIOD]
bright [AND] lonely [IMPLY] homely [PERIOD]
comfortable [IMPLY] ugly [PERIOD]
inexpensive [IMPLY] tame [PERIOD]
clean [IMPLY] dishonest [PERIOD]
nervous [AND] hurt [AND] unpleasant [IMPLY] foolish [PERIOD]
mysterious [AND] powerful [IMPLY] long [PERIOD]
powerful [AND] inexpensive [AND] excited [IMPLY] nervous [PERIOD]
tame [AND] comfortable [AND] mysterious [IMPLY] hurt [PERIOD]
excited [IMPLY] attractive [PERIOD]
inexpensive [AND] excited [AND] pleasant [IMPLY] powerful [PERIOD]
inexpensive [AND] long [AND] excited [IMPLY] powerful [PERIOD]
ambitious [IMPLY] beautiful [PERIOD]
mysterious [AND] lonely [IMPLY] inexpensive [PERIOD]
beautiful [IMPLY] lonely [PERIOD]
lonely [AND] nervous [IMPLY] long [PERIOD]
ugly [AND] hurt [IMPLY] excited [PERIOD]
lonely [AND] pleasant [IMPLY] clean [PERIOD]
excited [AND] ugly [AND] tame [IMPLY] comfortable [PERIOD]
attractive [AND] nervous [IMPLY] mysterious [PERIOD]
attractive [AND] inexpensive [AND] gifted [IMPLY] ambitious [PERIOD]
inexpensive [AND] careless [IMPLY] foolish [PERIOD]
inexpensive [AND] nervous [IMPLY] hurt [PERIOD]
careless [IMPLY] attractive [PERIOD]
clean [IMPLY] foolish [PERIOD]
careless [AND] unpleasant [IMPLY] attractive [PERIOD]
Query: Alice is long [PERIOD]","Proof chain:
   beautiful ⇒ lonely
   beautiful ∧ hurt ⇒ homely
   dishonest ∧ friendly ∧ homely ⇒ powerful
   pleasant ∧ foolish ∧ hurt ⇒ inexpensive
   friendly ⇒ excited
   powerful ∧ inexpensive ∧ excited ⇒ nervous
   lonely ∧ nervous ⇒ long
",1,7
"Facts: 
Rules:
rational [IMPLY] talkative [PERIOD]
bored [IMPLY] strange [PERIOD]
strange [IMPLY] pleasant [PERIOD]
confident [IMPLY] talkative [PERIOD]
pleasant [AND] hilarious [IMPLY] thoughtless [PERIOD]
bored [AND] bad-tempered [IMPLY] troubled [PERIOD]
thoughtless [IMPLY] clean [PERIOD]
worried [AND] troubled [IMPLY] pleasant [PERIOD]
gleaming [IMPLY] uptight [PERIOD]
troubled [AND] pleasant [AND] weary [IMPLY] confident [PERIOD]
gleaming [AND] pessimistic [IMPLY] talkative [PERIOD]
weary [AND] thoughtless [IMPLY] silly [PERIOD]
bored [IMPLY] pleasant [PERIOD]
uptight [AND] enchanting [AND] strange [IMPLY] thoughtless [PERIOD]
lonely [AND] pessimistic [IMPLY] enchanting [PERIOD]
clean [AND] enchanting [IMPLY] bossy [PERIOD]
enchanting [AND] bad-tempered [AND] uptight [IMPLY] pleasant [PERIOD]
hilarious [AND] lonely [AND] outstanding [IMPLY] good [PERIOD]
strange [AND] pessimistic [AND] rational [IMPLY] bad-tempered [PERIOD]
outstanding [AND] gleaming [AND] good [IMPLY] weary [PERIOD]
bored [AND] bossy [IMPLY] outstanding [PERIOD]
worried [AND] silly [AND] hilarious [IMPLY] lonely [PERIOD]
bossy [IMPLY] enchanting [PERIOD]
outstanding [AND] bored [IMPLY] strange [PERIOD]
lonely [AND] bad-tempered [AND] talkative [IMPLY] gleaming [PERIOD]
bored [AND] bossy [AND] enchanting [IMPLY] bad-tempered [PERIOD]
pessimistic [IMPLY] gleaming [PERIOD]
uptight [AND] bad-tempered [IMPLY] confident [PERIOD]
thoughtless [AND] worried [IMPLY] uptight [PERIOD]
uptight [AND] outstanding [AND] bad-tempered [IMPLY] weary [PERIOD]
bossy [IMPLY] bad-tempered [PERIOD]
pleasant [IMPLY] good [PERIOD]
weary [IMPLY] hilarious [PERIOD]
silly [IMPLY] uptight [PERIOD]
talkative [AND] pleasant [AND] confident [IMPLY] outstanding [PERIOD]
lonely [AND] pleasant [AND] talkative [IMPLY] good [PERIOD]
enchanting [IMPLY] clean [PERIOD]
rational [AND] pleasant [IMPLY] troubled [PERIOD]
lonely [AND] thoughtless [AND] uptight [IMPLY] strange [PERIOD]
thoughtless [IMPLY] pleasant [PERIOD]
rational [AND] talkative [IMPLY] gleaming [PERIOD]
weary [AND] troubled [IMPLY] bad-tempered [PERIOD]
silly [AND] pessimistic [AND] bored [IMPLY] thoughtless [PERIOD]
good [AND] worried [AND] strange [IMPLY] thoughtless [PERIOD]
rational [AND] thoughtless [IMPLY] talkative [PERIOD]
silly [AND] talkative [IMPLY] hilarious [PERIOD]
weary [AND] hilarious [AND] confident [IMPLY] strange [PERIOD]
pessimistic [IMPLY] clean [PERIOD]
troubled [AND] silly [IMPLY] gleaming [PERIOD]
thoughtless [AND] bored [IMPLY] weary [PERIOD]
confident [AND] outstanding [IMPLY] gleaming [PERIOD]
weary [AND] bossy [IMPLY] talkative [PERIOD]
strange [AND] outstanding [AND] uptight [IMPLY] lonely [PERIOD]
pleasant [AND] silly [AND] outstanding [IMPLY] worried [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   Cannot apply rule “strange ⇒ pleasant” because missing: strange.
   Cannot apply rule “worried ∧ troubled ⇒ pleasant” because missing: worried, troubled.
   Cannot apply rule “bored ⇒ pleasant” because missing: bored.
   Cannot apply rule “enchanting ∧ bad-tempered ∧ uptight ⇒ pleasant” because missing: enchanting, bad-tempered, uptight.
   Cannot apply rule “thoughtless ⇒ pleasant” because missing: thoughtless.
",0,5
"Facts:  Alice is perfect [PERIOD] Alice is witty [PERIOD] Alice is friendly [PERIOD] Alice is curious [PERIOD] Alice is fearless [PERIOD] Alice is intellectual [PERIOD]
Rules:
fearless [IMPLY] rational [PERIOD]
exuberant [AND] lonely [IMPLY] curious [PERIOD]
lucky [IMPLY] worried [PERIOD]
sincere [AND] charming [AND] tame [IMPLY] lonely [PERIOD]
fragile [AND] rational [IMPLY] pessimistic [PERIOD]
exuberant [AND] stormy [IMPLY] horrible [PERIOD]
fragile [IMPLY] precious [PERIOD]
blushing [AND] rational [AND] proud [IMPLY] tame [PERIOD]
perfect [IMPLY] ugliest [PERIOD]
stormy [IMPLY] witty [PERIOD]
lucky [AND] curious [IMPLY] sincere [PERIOD]
ugliest [AND] impartial [IMPLY] uptight [PERIOD]
lucky [IMPLY] precious [PERIOD]
tame [AND] sincere [AND] worried [IMPLY] precious [PERIOD]
blushing [IMPLY] proud [PERIOD]
impartial [IMPLY] worried [PERIOD]
fragile [IMPLY] tame [PERIOD]
tame [AND] charming [IMPLY] friendly [PERIOD]
ugliest [AND] uptight [IMPLY] friendly [PERIOD]
impartial [IMPLY] precious [PERIOD]
impartial [AND] pessimistic [AND] rational [IMPLY] worried [PERIOD]
lonely [IMPLY] tame [PERIOD]
horrible [AND] perfect [IMPLY] intellectual [PERIOD]
perfect [IMPLY] proud [PERIOD]
horrible [AND] old-fashioned [IMPLY] proud [PERIOD]
precious [AND] friendly [IMPLY] ugliest [PERIOD]
curious [IMPLY] horrible [PERIOD]
pessimistic [AND] uptight [AND] fragile [IMPLY] proud [PERIOD]
stormy [AND] intellectual [IMPLY] exuberant [PERIOD]
precious [IMPLY] horrible [PERIOD]
precious [IMPLY] pessimistic [PERIOD]
proud [AND] charming [IMPLY] pessimistic [PERIOD]
uptight [AND] friendly [AND] ugliest [IMPLY] fragile [PERIOD]
charming [IMPLY] fragile [PERIOD]
blushing [IMPLY] pessimistic [PERIOD]
curious [AND] blushing [AND] lucky [IMPLY] precious [PERIOD]
rational [IMPLY] horrible [PERIOD]
witty [IMPLY] exuberant [PERIOD]
rational [AND] perfect [AND] old-fashioned [IMPLY] exuberant [PERIOD]
tame [AND] sincere [IMPLY] impartial [PERIOD]
sincere [AND] charming [AND] uptight [IMPLY] horrible [PERIOD]
ugliest [AND] tame [AND] intellectual [IMPLY] perfect [PERIOD]
ugliest [AND] rational [AND] intellectual [IMPLY] proud [PERIOD]
pessimistic [AND] rational [IMPLY] curious [PERIOD]
witty [AND] intellectual [IMPLY] fearless [PERIOD]
blushing [AND] lonely [IMPLY] charming [PERIOD]
old-fashioned [AND] lonely [AND] rational [IMPLY] horrible [PERIOD]
rational [AND] lucky [IMPLY] perfect [PERIOD]
lonely [IMPLY] fearless [PERIOD]
uptight [AND] charming [IMPLY] sincere [PERIOD]
worried [AND] lucky [IMPLY] fragile [PERIOD]
rational [AND] proud [AND] intellectual [IMPLY] uptight [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
   witty ⇒ exuberant
",1,1
"Facts: 
Rules:
wandering [AND] gifted [IMPLY] friendly [PERIOD]
friendly [IMPLY] stubborn [PERIOD]
friendly [IMPLY] wandering [PERIOD]
gifted [IMPLY] wandering [PERIOD]
courageous [AND] stubborn [AND] wandering [IMPLY] gifted [PERIOD]
gifted [AND] wandering [AND] friendly [IMPLY] courageous [PERIOD]
stubborn [IMPLY] wandering [PERIOD]
wandering [IMPLY] friendly [PERIOD]
courageous [IMPLY] gifted [PERIOD]
courageous [IMPLY] wandering [PERIOD]
wandering [AND] stubborn [IMPLY] friendly [PERIOD]
friendly [AND] courageous [AND] stubborn [IMPLY] wandering [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   Cannot apply rule “friendly ⇒ wandering” because missing: friendly.
   Cannot apply rule “gifted ⇒ wandering” because missing: gifted.
   Cannot apply rule “stubborn ⇒ wandering” because missing: stubborn.
   Cannot apply rule “courageous ⇒ wandering” because missing: courageous.
   Cannot apply rule “friendly ∧ courageous ∧ stubborn ⇒ wandering” because missing: friendly, courageous, stubborn.
",0,5
"Facts:  Alice is attractive [PERIOD] Alice is attentive [PERIOD] Alice is cooperative [PERIOD] Alice is loving [PERIOD] Alice is troubled [PERIOD] Alice is jittery [PERIOD] Alice is aggressive [PERIOD] Alice is messy [PERIOD]
Rules:
amused [AND] loving [IMPLY] helpful [PERIOD]
attractive [AND] attentive [IMPLY] cooperative [PERIOD]
jittery [AND] troubled [IMPLY] popular [PERIOD]
messy [AND] amused [AND] loving [IMPLY] popular [PERIOD]
attentive [AND] homely [AND] messy [IMPLY] crowded [PERIOD]
foolish [AND] crowded [AND] jittery [IMPLY] cooperative [PERIOD]
popular [IMPLY] elegant [PERIOD]
elegant [IMPLY] troubled [PERIOD]
messy [AND] combative [IMPLY] cooperative [PERIOD]
popular [IMPLY] attentive [PERIOD]
attractive [AND] foolish [IMPLY] crowded [PERIOD]
outstanding [AND] homely [AND] combative [IMPLY] popular [PERIOD]
troubled [AND] combative [IMPLY] elegant [PERIOD]
crowded [AND] popular [IMPLY] cooperative [PERIOD]
messy [AND] popular [IMPLY] bored [PERIOD]
aggressive [AND] helpful [AND] wrong [IMPLY] reserved [PERIOD]
popular [AND] aggressive [IMPLY] crowded [PERIOD]
elegant [AND] reserved [AND] hurt [IMPLY] cooperative [PERIOD]
aggressive [AND] amused [AND] attractive [IMPLY] combative [PERIOD]
outstanding [AND] messy [IMPLY] foolish [PERIOD]
foolish [AND] wrong [AND] hurt [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] messy [PERIOD]
popular [IMPLY] messy [PERIOD]
jittery [AND] troubled [AND] elegant [IMPLY] crowded [PERIOD]
attentive [AND] attractive [AND] jittery [IMPLY] outstanding [PERIOD]
amused [AND] cooperative [IMPLY] loving [PERIOD]
loving [IMPLY] messy [PERIOD]
attentive [AND] crowded [IMPLY] reserved [PERIOD]
elegant [AND] helpful [AND] crowded [IMPLY] cooperative [PERIOD]
blushing [AND] popular [AND] hurt [IMPLY] wrong [PERIOD]
wrong [AND] jittery [IMPLY] attractive [PERIOD]
helpful [IMPLY] blushing [PERIOD]
blushing [AND] attractive [AND] jittery [IMPLY] homely [PERIOD]
jittery [AND] amused [IMPLY] bored [PERIOD]
homely [AND] crowded [IMPLY] loving [PERIOD]
jittery [AND] foolish [AND] bored [IMPLY] amused [PERIOD]
jittery [AND] foolish [AND] elegant [IMPLY] wrong [PERIOD]
homely [IMPLY] crowded [PERIOD]
cooperative [IMPLY] wrong [PERIOD]
combative [AND] homely [IMPLY] messy [PERIOD]
wrong [IMPLY] loving [PERIOD]
loving [AND] troubled [AND] aggressive [IMPLY] helpful [PERIOD]
messy [AND] combative [AND] reserved [IMPLY] bored [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   loving ∧ troubled ∧ aggressive ⇒ helpful
   helpful ⇒ blushing
",1,2
"Facts:  Alice is jittery [PERIOD] Alice is confused [PERIOD]
Rules:
pessimistic [AND] dull [IMPLY] unpleasant [PERIOD]
versatile [AND] broad-minded [IMPLY] dishonest [PERIOD]
versatile [AND] tame [AND] weary [IMPLY] bored [PERIOD]
selfish [AND] tame [IMPLY] attentive [PERIOD]
famous [AND] unpleasant [AND] friendly [IMPLY] jittery [PERIOD]
serious [AND] embarrassed [AND] dull [IMPLY] grumpy [PERIOD]
serious [IMPLY] friendly [PERIOD]
good [AND] broad-minded [IMPLY] wide-eyed [PERIOD]
tame [AND] impatient [IMPLY] versatile [PERIOD]
dishonest [IMPLY] unpleasant [PERIOD]
ugliest [AND] broad-minded [AND] pessimistic [IMPLY] impatient [PERIOD]
distinct [AND] pessimistic [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] distinct [PERIOD]
impatient [AND] busy [IMPLY] pessimistic [PERIOD]
embarrassed [AND] tired [IMPLY] weary [PERIOD]
ugliest [AND] tame [IMPLY] embarrassed [PERIOD]
dishonest [AND] pessimistic [AND] blushing [IMPLY] busy [PERIOD]
ugliest [AND] blushing [AND] bored [IMPLY] serious [PERIOD]
dull [IMPLY] ugliest [PERIOD]
ugliest [AND] dull [AND] cute [IMPLY] versatile [PERIOD]
unpleasant [IMPLY] busy [PERIOD]
confused [IMPLY] ugliest [PERIOD]
attentive [AND] impatient [AND] ugliest [IMPLY] serious [PERIOD]
weary [AND] wide-eyed [IMPLY] frantic [PERIOD]
wide-eyed [IMPLY] friendly [PERIOD]
busy [AND] confused [AND] jittery [IMPLY] selfish [PERIOD]
jittery [AND] versatile [AND] impatient [IMPLY] famous [PERIOD]
embarrassed [IMPLY] grumpy [PERIOD]
impatient [AND] blushing [IMPLY] wide-eyed [PERIOD]
good [AND] tame [AND] selfish [IMPLY] dull [PERIOD]
wide-eyed [AND] famous [IMPLY] good [PERIOD]
bored [IMPLY] good [PERIOD]
good [IMPLY] dull [PERIOD]
busy [AND] versatile [AND] distinct [IMPLY] unpleasant [PERIOD]
friendly [AND] busy [IMPLY] attentive [PERIOD]
pessimistic [AND] bored [IMPLY] cute [PERIOD]
tired [IMPLY] cute [PERIOD]
serious [AND] attentive [IMPLY] selfish [PERIOD]
ugliest [AND] grumpy [AND] jittery [IMPLY] confused [PERIOD]
friendly [IMPLY] bored [PERIOD]
unpleasant [IMPLY] dishonest [PERIOD]
good [IMPLY] busy [PERIOD]
dishonest [IMPLY] dull [PERIOD]
pessimistic [AND] wide-eyed [AND] ugliest [IMPLY] unpleasant [PERIOD]
tired [AND] embarrassed [IMPLY] confused [PERIOD]
frantic [AND] weary [IMPLY] ugliest [PERIOD]
grumpy [AND] embarrassed [IMPLY] impatient [PERIOD]
serious [AND] weary [AND] wide-eyed [IMPLY] cute [PERIOD]
frantic [IMPLY] busy [PERIOD]
dull [IMPLY] tame [PERIOD]
impatient [AND] busy [AND] embarrassed [IMPLY] grumpy [PERIOD]
embarrassed [AND] cute [AND] dishonest [IMPLY] dull [PERIOD]
tired [AND] impatient [IMPLY] blushing [PERIOD]
versatile [AND] selfish [AND] worried [IMPLY] friendly [PERIOD]
versatile [IMPLY] busy [PERIOD]
dishonest [AND] tame [AND] pessimistic [IMPLY] impatient [PERIOD]
jittery [AND] dishonest [AND] unpleasant [IMPLY] selfish [PERIOD]
wide-eyed [IMPLY] distinct [PERIOD]
serious [AND] weary [AND] versatile [IMPLY] famous [PERIOD]
serious [AND] jittery [IMPLY] embarrassed [PERIOD]
unpleasant [AND] worried [IMPLY] tired [PERIOD]
famous [AND] selfish [AND] dishonest [IMPLY] tame [PERIOD]
selfish [AND] ugliest [IMPLY] tame [PERIOD]
tame [IMPLY] selfish [PERIOD]
versatile [IMPLY] dishonest [PERIOD]
embarrassed [AND] selfish [AND] versatile [IMPLY] dishonest [PERIOD]
good [AND] friendly [AND] wide-eyed [IMPLY] pessimistic [PERIOD]
dull [AND] dishonest [AND] good [IMPLY] wide-eyed [PERIOD]
bored [AND] embarrassed [IMPLY] distinct [PERIOD]
frantic [AND] confused [IMPLY] attentive [PERIOD]
dishonest [AND] selfish [IMPLY] distinct [PERIOD]
pessimistic [IMPLY] serious [PERIOD]
friendly [IMPLY] selfish [PERIOD]
wide-eyed [AND] famous [IMPLY] broad-minded [PERIOD]
tame [AND] embarrassed [IMPLY] pessimistic [PERIOD]
good [IMPLY] worried [PERIOD]
tired [AND] friendly [AND] blushing [IMPLY] jittery [PERIOD]
distinct [AND] versatile [IMPLY] busy [PERIOD]
ugliest [AND] grumpy [IMPLY] serious [PERIOD]
good [AND] unpleasant [AND] impatient [IMPLY] versatile [PERIOD]
cute [AND] ugliest [AND] serious [IMPLY] distinct [PERIOD]
good [IMPLY] versatile [PERIOD]
dull [AND] good [IMPLY] serious [PERIOD]
blushing [IMPLY] tame [PERIOD]
confused [AND] unpleasant [AND] versatile [IMPLY] good [PERIOD]
frantic [AND] confused [IMPLY] ugliest [PERIOD]
broad-minded [IMPLY] worried [PERIOD]
grumpy [AND] dishonest [AND] jittery [IMPLY] wide-eyed [PERIOD]
famous [IMPLY] friendly [PERIOD]
selfish [AND] broad-minded [AND] jittery [IMPLY] unpleasant [PERIOD]
grumpy [IMPLY] dull [PERIOD]
serious [IMPLY] tired [PERIOD]
pessimistic [AND] tired [IMPLY] impatient [PERIOD]
wide-eyed [AND] dull [IMPLY] weary [PERIOD]
weary [AND] dull [IMPLY] ugliest [PERIOD]
selfish [IMPLY] cute [PERIOD]
dull [AND] serious [AND] selfish [IMPLY] embarrassed [PERIOD]
jittery [AND] weary [AND] dishonest [IMPLY] embarrassed [PERIOD]
friendly [AND] broad-minded [AND] worried [IMPLY] serious [PERIOD]
pessimistic [AND] impatient [IMPLY] dull [PERIOD]
impatient [AND] busy [AND] unpleasant [IMPLY] pessimistic [PERIOD]
wide-eyed [IMPLY] embarrassed [PERIOD]
attentive [IMPLY] confused [PERIOD]
famous [AND] good [IMPLY] busy [PERIOD]
dull [IMPLY] impatient [PERIOD]
ugliest [AND] bored [AND] cute [IMPLY] dishonest [PERIOD]
jittery [AND] grumpy [AND] cute [IMPLY] selfish [PERIOD]
broad-minded [AND] tired [AND] tame [IMPLY] bored [PERIOD]
cute [AND] serious [IMPLY] famous [PERIOD]
confused [IMPLY] broad-minded [PERIOD]
bored [AND] serious [IMPLY] jittery [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   confused ⇒ ugliest
   confused ⇒ broad-minded
   Cannot apply rule “ugliest ∧ broad-minded ∧ pessimistic ⇒ impatient” because missing: pessimistic.
   Cannot apply rule “grumpy ∧ embarrassed ⇒ impatient” because missing: grumpy, embarrassed.
   Cannot apply rule “dishonest ∧ tame ∧ pessimistic ⇒ impatient” because missing: dishonest, tame, pessimistic.
   Cannot apply rule “pessimistic ∧ tired ⇒ impatient” because missing: pessimistic, tired.
   Cannot apply rule “dull ⇒ impatient” because missing: dull.
",0,7
"Facts:  Alice is confident [PERIOD]
Rules:
rude [AND] fine [AND] wide-eyed [IMPLY] diplomatic [PERIOD]
fine [AND] strange [AND] pessimistic [IMPLY] rude [PERIOD]
rude [AND] fine [IMPLY] wandering [PERIOD]
diplomatic [AND] strange [IMPLY] adorable [PERIOD]
witty [AND] stormy [IMPLY] foolish [PERIOD]
confident [AND] tame [AND] adorable [IMPLY] diplomatic [PERIOD]
disgusted [AND] adorable [IMPLY] wide-eyed [PERIOD]
adorable [IMPLY] muddy [PERIOD]
fine [AND] disgusted [AND] foolish [IMPLY] wandering [PERIOD]
joyous [IMPLY] confident [PERIOD]
joyous [AND] foolish [IMPLY] confident [PERIOD]
frightened [IMPLY] stormy [PERIOD]
tense [AND] fine [AND] witty [IMPLY] tame [PERIOD]
fine [AND] witty [IMPLY] tame [PERIOD]
pessimistic [AND] diplomatic [AND] confident [IMPLY] elated [PERIOD]
pessimistic [AND] rude [IMPLY] strange [PERIOD]
tame [IMPLY] wandering [PERIOD]
stormy [AND] muddy [IMPLY] busy [PERIOD]
shy [IMPLY] busy [PERIOD]
shy [AND] elated [AND] foolish [IMPLY] witty [PERIOD]
tame [IMPLY] diplomatic [PERIOD]
tame [AND] joyous [AND] muddy [IMPLY] fine [PERIOD]
tense [AND] wandering [IMPLY] witty [PERIOD]
joyous [IMPLY] tame [PERIOD]
confident [AND] joyous [IMPLY] stormy [PERIOD]
tense [AND] adorable [IMPLY] diplomatic [PERIOD]
strange [IMPLY] wide-eyed [PERIOD]
foolish [AND] witty [IMPLY] strange [PERIOD]
frightened [AND] stormy [AND] witty [IMPLY] adorable [PERIOD]
wide-eyed [AND] tense [AND] adorable [IMPLY] tame [PERIOD]
busy [AND] elated [IMPLY] bored [PERIOD]
pessimistic [AND] frightened [IMPLY] busy [PERIOD]
witty [AND] joyous [AND] pessimistic [IMPLY] shy [PERIOD]
joyous [AND] strange [AND] pessimistic [IMPLY] confident [PERIOD]
wide-eyed [AND] disgusted [IMPLY] stormy [PERIOD]
wide-eyed [AND] muddy [IMPLY] busy [PERIOD]
tame [AND] frightened [AND] confident [IMPLY] wide-eyed [PERIOD]
pessimistic [AND] confident [IMPLY] foolish [PERIOD]
busy [IMPLY] tense [PERIOD]
muddy [IMPLY] tense [PERIOD]
disgusted [AND] wandering [AND] busy [IMPLY] joyous [PERIOD]
stormy [AND] wide-eyed [IMPLY] adorable [PERIOD]
fine [IMPLY] wide-eyed [PERIOD]
disgusted [IMPLY] strange [PERIOD]
bored [AND] wandering [IMPLY] busy [PERIOD]
joyous [IMPLY] disgusted [PERIOD]
tense [AND] witty [IMPLY] bossy [PERIOD]
disgusted [IMPLY] diplomatic [PERIOD]
wide-eyed [IMPLY] wandering [PERIOD]
stormy [AND] elated [AND] adorable [IMPLY] witty [PERIOD]
bossy [IMPLY] shy [PERIOD]
witty [AND] busy [IMPLY] shy [PERIOD]
foolish [AND] fine [AND] muddy [IMPLY] rude [PERIOD]
joyous [AND] fine [AND] foolish [IMPLY] rude [PERIOD]
stormy [AND] frightened [AND] adorable [IMPLY] bored [PERIOD]
fine [AND] elated [IMPLY] bossy [PERIOD]
bored [AND] wandering [AND] confident [IMPLY] foolish [PERIOD]
elated [AND] fine [IMPLY] confident [PERIOD]
frightened [AND] rude [IMPLY] witty [PERIOD]
strange [AND] elated [AND] tense [IMPLY] bored [PERIOD]
stormy [IMPLY] foolish [PERIOD]
muddy [IMPLY] diplomatic [PERIOD]
stormy [AND] elated [AND] witty [IMPLY] busy [PERIOD]
rude [IMPLY] disgusted [PERIOD]
diplomatic [AND] pessimistic [IMPLY] fine [PERIOD]
shy [AND] witty [IMPLY] tense [PERIOD]
tame [AND] fine [AND] shy [IMPLY] adorable [PERIOD]
confident [AND] foolish [IMPLY] diplomatic [PERIOD]
strange [AND] wide-eyed [AND] confident [IMPLY] elated [PERIOD]
elated [IMPLY] foolish [PERIOD]
elated [IMPLY] frightened [PERIOD]
bored [AND] tame [IMPLY] rude [PERIOD]
confident [AND] wide-eyed [IMPLY] witty [PERIOD]
fine [AND] confident [IMPLY] bored [PERIOD]
shy [AND] foolish [IMPLY] witty [PERIOD]
muddy [AND] bored [IMPLY] strange [PERIOD]
tense [AND] wide-eyed [IMPLY] wandering [PERIOD]
shy [AND] pessimistic [IMPLY] adorable [PERIOD]
tame [AND] joyous [AND] elated [IMPLY] foolish [PERIOD]
strange [AND] witty [IMPLY] busy [PERIOD]
stormy [AND] bored [AND] strange [IMPLY] disgusted [PERIOD]
tense [AND] elated [IMPLY] joyous [PERIOD]
joyous [AND] tense [IMPLY] fine [PERIOD]
pessimistic [AND] wide-eyed [AND] elated [IMPLY] shy [PERIOD]
strange [AND] adorable [AND] foolish [IMPLY] diplomatic [PERIOD]
tame [IMPLY] bossy [PERIOD]
joyous [AND] tense [IMPLY] foolish [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   Cannot apply rule “shy ∧ elated ∧ foolish ⇒ witty” because missing: shy, elated, foolish.
   Cannot apply rule “tense ∧ wandering ⇒ witty” because missing: tense, wandering.
   Cannot apply rule “stormy ∧ elated ∧ adorable ⇒ witty” because missing: stormy, elated, adorable.
   Cannot apply rule “frightened ∧ rude ⇒ witty” because missing: frightened, rude.
   Cannot apply rule “confident ∧ wide-eyed ⇒ witty” because missing: wide-eyed.
   Cannot apply rule “shy ∧ foolish ⇒ witty” because missing: shy, foolish.
",0,6
"Facts:  Alice is good [PERIOD] Alice is condemned [PERIOD] Alice is wandering [PERIOD] Alice is innocent [PERIOD] Alice is tense [PERIOD] Alice is hilarious [PERIOD] Alice is inexpensive [PERIOD]
Rules:
stubborn [IMPLY] hilarious [PERIOD]
hilarious [AND] thoughtful [AND] inexpensive [IMPLY] tense [PERIOD]
thoughtful [IMPLY] good [PERIOD]
wandering [AND] innocent [AND] naughty [IMPLY] thoughtful [PERIOD]
hilarious [AND] good [AND] tense [IMPLY] naughty [PERIOD]
good [AND] inexpensive [IMPLY] grumpy [PERIOD]
good [AND] grumpy [IMPLY] thoughtful [PERIOD]
inexpensive [IMPLY] naughty [PERIOD]
grumpy [IMPLY] wandering [PERIOD]
thoughtful [AND] condemned [IMPLY] hilarious [PERIOD]
condemned [AND] hilarious [IMPLY] grumpy [PERIOD]
condemned [AND] stubborn [AND] thoughtful [IMPLY] grumpy [PERIOD]
naughty [AND] stubborn [IMPLY] inexpensive [PERIOD]
stubborn [AND] good [IMPLY] wandering [PERIOD]
thoughtful [AND] hilarious [IMPLY] stubborn [PERIOD]
condemned [AND] naughty [IMPLY] inexpensive [PERIOD]
thoughtful [IMPLY] innocent [PERIOD]
good [IMPLY] wandering [PERIOD]
inexpensive [AND] grumpy [IMPLY] tense [PERIOD]
good [IMPLY] thoughtful [PERIOD]
wandering [IMPLY] grumpy [PERIOD]
condemned [IMPLY] hilarious [PERIOD]
naughty [IMPLY] innocent [PERIOD]
naughty [AND] good [AND] tense [IMPLY] wandering [PERIOD]
naughty [AND] grumpy [IMPLY] good [PERIOD]
naughty [AND] condemned [IMPLY] good [PERIOD]
grumpy [AND] wandering [AND] naughty [IMPLY] tense [PERIOD]
good [AND] condemned [AND] innocent [IMPLY] tense [PERIOD]
good [IMPLY] innocent [PERIOD]
thoughtful [AND] wandering [IMPLY] innocent [PERIOD]
good [AND] grumpy [AND] tense [IMPLY] innocent [PERIOD]
naughty [AND] good [IMPLY] stubborn [PERIOD]
hilarious [IMPLY] stubborn [PERIOD]
wandering [IMPLY] hilarious [PERIOD]
innocent [IMPLY] good [PERIOD]
stubborn [AND] grumpy [AND] condemned [IMPLY] wandering [PERIOD]
wandering [AND] condemned [AND] hilarious [IMPLY] stubborn [PERIOD]
grumpy [IMPLY] good [PERIOD]
hilarious [IMPLY] thoughtful [PERIOD]
condemned [IMPLY] good [PERIOD]
thoughtful [AND] good [AND] tense [IMPLY] stubborn [PERIOD]
hilarious [IMPLY] wandering [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is impartial [PERIOD] Alice is elated [PERIOD] Alice is different [PERIOD] Alice is embarrassed [PERIOD]
Rules:
quaint [AND] elated [AND] sleepy [IMPLY] good [PERIOD]
cute [AND] bossy [IMPLY] courageous [PERIOD]
nervous [IMPLY] straightforward [PERIOD]
impartial [IMPLY] nervous [PERIOD]
elated [AND] sleepy [IMPLY] famous [PERIOD]
courageous [AND] impartial [IMPLY] nervous [PERIOD]
alert [IMPLY] polite [PERIOD]
embarrassed [AND] smart [IMPLY] straightforward [PERIOD]
embarrassed [AND] good [AND] sleepy [IMPLY] wrong [PERIOD]
diplomatic [IMPLY] alert [PERIOD]
diplomatic [AND] embarrassed [AND] reserved [IMPLY] tame [PERIOD]
good [IMPLY] reserved [PERIOD]
reserved [AND] frantic [AND] different [IMPLY] bossy [PERIOD]
different [AND] bossy [IMPLY] embarrassed [PERIOD]
smart [IMPLY] courageous [PERIOD]
wrong [AND] elated [AND] nervous [IMPLY] tame [PERIOD]
elated [AND] alert [AND] cute [IMPLY] wrong [PERIOD]
smart [IMPLY] unpleasant [PERIOD]
polite [IMPLY] quaint [PERIOD]
nervous [AND] reserved [AND] polite [IMPLY] elated [PERIOD]
unpleasant [AND] supportive [IMPLY] reserved [PERIOD]
reserved [IMPLY] impartial [PERIOD]
embarrassed [AND] courageous [AND] frantic [IMPLY] different [PERIOD]
different [AND] wide-eyed [IMPLY] smart [PERIOD]
bossy [AND] nervous [IMPLY] good [PERIOD]
reserved [IMPLY] bossy [PERIOD]
famous [AND] unpleasant [IMPLY] courageous [PERIOD]
quaint [IMPLY] impartial [PERIOD]
polite [IMPLY] courageous [PERIOD]
unpleasant [AND] cute [AND] wrong [IMPLY] good [PERIOD]
different [IMPLY] elated [PERIOD]
wrong [IMPLY] unpleasant [PERIOD]
wrong [AND] good [IMPLY] bossy [PERIOD]
different [AND] sleepy [IMPLY] wrong [PERIOD]
smart [AND] diplomatic [IMPLY] elated [PERIOD]
unpleasant [AND] polite [IMPLY] wide-eyed [PERIOD]
alert [AND] sleepy [AND] straightforward [IMPLY] supportive [PERIOD]
famous [AND] bossy [AND] impartial [IMPLY] polite [PERIOD]
wrong [IMPLY] frantic [PERIOD]
smart [AND] alert [AND] sleepy [IMPLY] different [PERIOD]
supportive [AND] good [IMPLY] embarrassed [PERIOD]
courageous [AND] cute [AND] nervous [IMPLY] hypocritical [PERIOD]
polite [AND] wrong [IMPLY] quaint [PERIOD]
wrong [IMPLY] sleepy [PERIOD]
wrong [AND] alert [IMPLY] elated [PERIOD]
unpleasant [IMPLY] straightforward [PERIOD]
different [AND] wide-eyed [AND] impartial [IMPLY] quaint [PERIOD]
unpleasant [AND] tame [IMPLY] nervous [PERIOD]
impartial [AND] embarrassed [AND] straightforward [IMPLY] diplomatic [PERIOD]
embarrassed [AND] frantic [AND] courageous [IMPLY] wide-eyed [PERIOD]
good [IMPLY] wrong [PERIOD]
cute [AND] wrong [AND] bossy [IMPLY] straightforward [PERIOD]
tame [AND] smart [IMPLY] reserved [PERIOD]
good [AND] diplomatic [IMPLY] bossy [PERIOD]
diplomatic [IMPLY] wrong [PERIOD]
courageous [AND] wide-eyed [IMPLY] impartial [PERIOD]
different [IMPLY] impartial [PERIOD]
good [AND] embarrassed [AND] cute [IMPLY] tame [PERIOD]
famous [IMPLY] straightforward [PERIOD]
embarrassed [IMPLY] hypocritical [PERIOD]
reserved [IMPLY] quaint [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   impartial ⇒ nervous
   nervous ⇒ straightforward
   impartial ∧ embarrassed ∧ straightforward ⇒ diplomatic
   diplomatic ⇒ alert
   alert ⇒ polite
   polite ⇒ courageous
",1,6
"Facts:  Alice is elated [PERIOD] Alice is quaint [PERIOD] Alice is average [PERIOD] Alice is strange [PERIOD] Alice is witty [PERIOD] Alice is confused [PERIOD] Alice is victorious [PERIOD] Alice is sensible [PERIOD] Alice is cruel [PERIOD] Alice is calm [PERIOD] Alice is bright [PERIOD] Alice is tame [PERIOD] Alice is difficult [PERIOD] Alice is different [PERIOD] Alice is unpleasant [PERIOD]
Rules:
unpleasant [AND] strange [IMPLY] bright [PERIOD]
confused [AND] elated [AND] cruel [IMPLY] unpleasant [PERIOD]
cruel [AND] victorious [IMPLY] witty [PERIOD]
worrisome [IMPLY] unpleasant [PERIOD]
bright [IMPLY] helpless [PERIOD]
cruel [IMPLY] calm [PERIOD]
confused [IMPLY] quaint [PERIOD]
average [AND] victorious [IMPLY] helpless [PERIOD]
different [IMPLY] bright [PERIOD]
worrisome [IMPLY] quaint [PERIOD]
quaint [IMPLY] calm [PERIOD]
helpless [AND] tame [AND] worrisome [IMPLY] difficult [PERIOD]
worrisome [AND] victorious [IMPLY] confused [PERIOD]
elated [AND] victorious [AND] unpleasant [IMPLY] talkative [PERIOD]
unpleasant [AND] sensible [AND] difficult [IMPLY] talkative [PERIOD]
confused [AND] thoughtless [IMPLY] calm [PERIOD]
worrisome [AND] different [AND] elated [IMPLY] helpless [PERIOD]
confused [AND] cruel [AND] calm [IMPLY] sensible [PERIOD]
worrisome [AND] cruel [IMPLY] confused [PERIOD]
difficult [AND] quaint [IMPLY] worrisome [PERIOD]
talkative [IMPLY] helpless [PERIOD]
difficult [AND] calm [IMPLY] different [PERIOD]
quaint [AND] bright [IMPLY] talkative [PERIOD]
tame [AND] different [AND] calm [IMPLY] helpless [PERIOD]
victorious [IMPLY] confused [PERIOD]
bright [AND] tame [AND] calm [IMPLY] confused [PERIOD]
strange [AND] average [IMPLY] thoughtless [PERIOD]
calm [AND] different [IMPLY] confused [PERIOD]
tame [AND] victorious [IMPLY] average [PERIOD]
cruel [AND] strange [AND] unpleasant [IMPLY] different [PERIOD]
helpless [AND] elated [AND] confused [IMPLY] victorious [PERIOD]
difficult [AND] calm [AND] sensible [IMPLY] cruel [PERIOD]
average [AND] sensible [IMPLY] tame [PERIOD]
quaint [AND] victorious [IMPLY] difficult [PERIOD]
victorious [AND] confused [IMPLY] worrisome [PERIOD]
difficult [AND] cruel [IMPLY] helpless [PERIOD]
elated [IMPLY] helpless [PERIOD]
average [AND] quaint [AND] victorious [IMPLY] worrisome [PERIOD]
average [AND] tame [IMPLY] bright [PERIOD]
sensible [AND] confused [AND] victorious [IMPLY] strange [PERIOD]
cruel [AND] quaint [IMPLY] tame [PERIOD]
worrisome [AND] witty [AND] unpleasant [IMPLY] bright [PERIOD]
average [AND] unpleasant [AND] different [IMPLY] worrisome [PERIOD]
cruel [AND] calm [IMPLY] helpless [PERIOD]
bright [IMPLY] unpleasant [PERIOD]
sensible [AND] talkative [AND] helpless [IMPLY] difficult [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is agreeable [PERIOD] Alice is bossy [PERIOD]
Rules:
powerful [AND] broad-minded [AND] reserved [IMPLY] loving [PERIOD]
selfish [AND] agreeable [IMPLY] broad-minded [PERIOD]
reserved [AND] horrible [AND] frantic [IMPLY] sleepy [PERIOD]
foolish [IMPLY] bossy [PERIOD]
disobedient [AND] joyous [AND] agreeable [IMPLY] loving [PERIOD]
troubled [IMPLY] broad-minded [PERIOD]
grumpy [AND] loving [IMPLY] gorgeous [PERIOD]
versatile [AND] alert [IMPLY] troubled [PERIOD]
versatile [IMPLY] loving [PERIOD]
selfish [AND] tender [AND] troubled [IMPLY] fine [PERIOD]
proud [AND] polite [IMPLY] disobedient [PERIOD]
broad-minded [AND] polite [AND] selfish [IMPLY] powerful [PERIOD]
reserved [IMPLY] fine [PERIOD]
alert [IMPLY] proud [PERIOD]
agreeable [AND] loving [AND] tender [IMPLY] powerful [PERIOD]
reserved [IMPLY] disobedient [PERIOD]
gorgeous [AND] broad-minded [IMPLY] foolish [PERIOD]
sleepy [AND] bossy [AND] fine [IMPLY] alert [PERIOD]
gorgeous [AND] horrible [IMPLY] disobedient [PERIOD]
cooperative [IMPLY] reserved [PERIOD]
joyous [IMPLY] horrible [PERIOD]
reserved [IMPLY] agreeable [PERIOD]
horrible [IMPLY] loving [PERIOD]
foolish [AND] fine [IMPLY] powerful [PERIOD]
reserved [IMPLY] versatile [PERIOD]
grumpy [AND] agreeable [IMPLY] powerful [PERIOD]
selfish [AND] cooperative [AND] gorgeous [IMPLY] alert [PERIOD]
fine [AND] versatile [AND] frantic [IMPLY] polite [PERIOD]
horrible [AND] disobedient [AND] alert [IMPLY] selfish [PERIOD]
frantic [AND] horrible [AND] broad-minded [IMPLY] troubled [PERIOD]
fine [IMPLY] loving [PERIOD]
troubled [AND] powerful [AND] joyous [IMPLY] loving [PERIOD]
proud [AND] agreeable [AND] foolish [IMPLY] disobedient [PERIOD]
troubled [AND] disobedient [IMPLY] polite [PERIOD]
versatile [AND] cooperative [AND] tender [IMPLY] gorgeous [PERIOD]
troubled [AND] disobedient [AND] tender [IMPLY] selfish [PERIOD]
troubled [AND] powerful [AND] versatile [IMPLY] broad-minded [PERIOD]
alert [AND] grumpy [IMPLY] frantic [PERIOD]
alert [AND] horrible [AND] selfish [IMPLY] frantic [PERIOD]
sleepy [IMPLY] disobedient [PERIOD]
horrible [AND] proud [AND] bossy [IMPLY] fine [PERIOD]
fine [AND] frantic [IMPLY] troubled [PERIOD]
grumpy [AND] polite [AND] versatile [IMPLY] sleepy [PERIOD]
alert [AND] cooperative [IMPLY] sleepy [PERIOD]
agreeable [AND] polite [AND] troubled [IMPLY] frantic [PERIOD]
reserved [AND] joyous [AND] broad-minded [IMPLY] bossy [PERIOD]
alert [IMPLY] reserved [PERIOD]
polite [AND] agreeable [AND] troubled [IMPLY] proud [PERIOD]
alert [AND] grumpy [AND] sleepy [IMPLY] reserved [PERIOD]
frantic [IMPLY] fine [PERIOD]
sleepy [AND] bossy [IMPLY] joyous [PERIOD]
sleepy [IMPLY] alert [PERIOD]
troubled [AND] joyous [IMPLY] alert [PERIOD]
disobedient [AND] sleepy [IMPLY] foolish [PERIOD]
fine [AND] selfish [IMPLY] foolish [PERIOD]
selfish [AND] alert [IMPLY] sleepy [PERIOD]
troubled [AND] foolish [AND] broad-minded [IMPLY] gorgeous [PERIOD]
agreeable [IMPLY] polite [PERIOD]
grumpy [IMPLY] joyous [PERIOD]
versatile [AND] gorgeous [AND] polite [IMPLY] powerful [PERIOD]
versatile [IMPLY] powerful [PERIOD]
alert [AND] polite [IMPLY] tender [PERIOD]
reserved [AND] proud [AND] horrible [IMPLY] sleepy [PERIOD]
sleepy [IMPLY] polite [PERIOD]
polite [IMPLY] alert [PERIOD]
alert [IMPLY] troubled [PERIOD]
versatile [IMPLY] polite [PERIOD]
grumpy [AND] agreeable [IMPLY] loving [PERIOD]
gorgeous [AND] selfish [IMPLY] disobedient [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   agreeable ⇒ polite
   agreeable ⇒ polite
   polite ⇒ alert
   alert ⇒ troubled
   agreeable ∧ polite ∧ troubled ⇒ frantic
",1,5
"Facts:  Alice is impartial [PERIOD] Alice is worrisome [PERIOD] Alice is versatile [PERIOD] Alice is straightforward [PERIOD] Alice is pleasant [PERIOD] Alice is thoughtless [PERIOD] Alice is fragile [PERIOD] Alice is cooperative [PERIOD] Alice is witty [PERIOD] Alice is thoughtful [PERIOD] Alice is tidy [PERIOD] Alice is wrong [PERIOD] Alice is hilarious [PERIOD] Alice is worried [PERIOD] Alice is messy [PERIOD] Alice is comfortable [PERIOD] Alice is adorable [PERIOD] Alice is anxious [PERIOD] Alice is cruel [PERIOD] Alice is attentive [PERIOD] Alice is excited [PERIOD] Alice is grumpy [PERIOD] Alice is bright [PERIOD]
Rules:
straightforward [AND] witty [AND] anxious [IMPLY] versatile [PERIOD]
comfortable [AND] cooperative [IMPLY] worried [PERIOD]
versatile [AND] straightforward [AND] excited [IMPLY] fragile [PERIOD]
comfortable [AND] grumpy [IMPLY] quaint [PERIOD]
attentive [AND] excited [AND] versatile [IMPLY] grumpy [PERIOD]
straightforward [AND] tidy [IMPLY] fragile [PERIOD]
comfortable [IMPLY] worrisome [PERIOD]
attentive [AND] pleasant [AND] comfortable [IMPLY] thoughtless [PERIOD]
attentive [IMPLY] diplomatic [PERIOD]
straightforward [AND] hilarious [IMPLY] excited [PERIOD]
straightforward [IMPLY] messy [PERIOD]
wrong [IMPLY] bright [PERIOD]
worried [AND] thoughtful [IMPLY] adorable [PERIOD]
comfortable [AND] worried [AND] bright [IMPLY] cruel [PERIOD]
cruel [AND] fragile [AND] comfortable [IMPLY] attentive [PERIOD]
worrisome [AND] straightforward [IMPLY] tidy [PERIOD]
impartial [AND] grumpy [IMPLY] pleasant [PERIOD]
adorable [IMPLY] cooperative [PERIOD]
adorable [AND] impartial [IMPLY] anxious [PERIOD]
cooperative [IMPLY] witty [PERIOD]
straightforward [AND] bright [IMPLY] adorable [PERIOD]
witty [AND] wrong [AND] cooperative [IMPLY] excited [PERIOD]
cruel [IMPLY] worried [PERIOD]
grumpy [IMPLY] impartial [PERIOD]
tidy [IMPLY] wrong [PERIOD]
thoughtful [AND] attentive [IMPLY] cruel [PERIOD]
wrong [AND] comfortable [AND] thoughtful [IMPLY] attentive [PERIOD]
wrong [AND] attentive [AND] comfortable [IMPLY] versatile [PERIOD]
worrisome [IMPLY] messy [PERIOD]
versatile [AND] fragile [IMPLY] diplomatic [PERIOD]
messy [IMPLY] tidy [PERIOD]
worried [IMPLY] versatile [PERIOD]
cruel [AND] cooperative [IMPLY] diplomatic [PERIOD]
thoughtful [AND] messy [AND] cooperative [IMPLY] bright [PERIOD]
cooperative [IMPLY] excited [PERIOD]
straightforward [IMPLY] hilarious [PERIOD]
anxious [AND] wrong [AND] attentive [IMPLY] thoughtless [PERIOD]
cruel [IMPLY] tidy [PERIOD]
messy [AND] worried [IMPLY] wrong [PERIOD]
excited [AND] quaint [AND] messy [IMPLY] versatile [PERIOD]
adorable [IMPLY] straightforward [PERIOD]
worrisome [AND] grumpy [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] thoughtless [PERIOD]
anxious [AND] wrong [IMPLY] thoughtless [PERIOD]
anxious [AND] fragile [AND] grumpy [IMPLY] tidy [PERIOD]
comfortable [IMPLY] grumpy [PERIOD]
pleasant [IMPLY] thoughtless [PERIOD]
worrisome [AND] thoughtful [IMPLY] cooperative [PERIOD]
worried [AND] pleasant [AND] versatile [IMPLY] thoughtless [PERIOD]
adorable [IMPLY] grumpy [PERIOD]
attractive [AND] diplomatic [IMPLY] straightforward [PERIOD]
adorable [AND] grumpy [AND] tidy [IMPLY] straightforward [PERIOD]
impartial [AND] straightforward [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] adorable [PERIOD]
cruel [AND] attractive [AND] grumpy [IMPLY] quaint [PERIOD]
pleasant [IMPLY] bright [PERIOD]
hilarious [AND] cruel [AND] witty [IMPLY] thoughtless [PERIOD]
tidy [IMPLY] diplomatic [PERIOD]
Query: Alice is cruel [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is cute [PERIOD]
Rules:
friendly [AND] disgusted [AND] easy [IMPLY] comfortable [PERIOD]
tidy [AND] friendly [AND] wandering [IMPLY] disgusted [PERIOD]
vivacious [AND] light [AND] wandering [IMPLY] easy [PERIOD]
hypocritical [AND] rude [IMPLY] rational [PERIOD]
disgusted [AND] combative [IMPLY] wandering [PERIOD]
mysterious [AND] supportive [IMPLY] rude [PERIOD]
cute [AND] joyous [AND] innocent [IMPLY] supportive [PERIOD]
cute [AND] innocent [IMPLY] comfortable [PERIOD]
vivacious [AND] disgusted [IMPLY] light [PERIOD]
innocent [AND] tidy [IMPLY] comfortable [PERIOD]
cute [AND] friendly [AND] glamorous [IMPLY] elegant [PERIOD]
broad-minded [AND] mysterious [IMPLY] disobedient [PERIOD]
combative [AND] inquisitive [AND] elegant [IMPLY] light [PERIOD]
friendly [AND] comfortable [IMPLY] tidy [PERIOD]
rude [AND] elegant [IMPLY] easy [PERIOD]
vivacious [AND] hypocritical [IMPLY] easy [PERIOD]
light [IMPLY] supportive [PERIOD]
friendly [AND] glamorous [IMPLY] combative [PERIOD]
supportive [AND] broad-minded [AND] mysterious [IMPLY] hypocritical [PERIOD]
elegant [IMPLY] disobedient [PERIOD]
combative [AND] wandering [AND] stubborn [IMPLY] joyous [PERIOD]
elegant [AND] easy [AND] messy [IMPLY] inquisitive [PERIOD]
stubborn [AND] tidy [AND] innocent [IMPLY] modern [PERIOD]
glamorous [IMPLY] hypocritical [PERIOD]
cute [AND] elegant [AND] comfortable [IMPLY] messy [PERIOD]
vivacious [AND] elegant [IMPLY] rational [PERIOD]
joyous [AND] rational [AND] messy [IMPLY] modern [PERIOD]
modern [IMPLY] light [PERIOD]
easy [IMPLY] broad-minded [PERIOD]
elegant [AND] light [AND] hypocritical [IMPLY] messy [PERIOD]
hypocritical [AND] wandering [IMPLY] broad-minded [PERIOD]
mysterious [AND] wandering [AND] hypocritical [IMPLY] modern [PERIOD]
inquisitive [AND] rational [IMPLY] wandering [PERIOD]
combative [AND] rational [IMPLY] innocent [PERIOD]
modern [AND] easy [IMPLY] elegant [PERIOD]
broad-minded [AND] combative [IMPLY] joyous [PERIOD]
mysterious [IMPLY] disobedient [PERIOD]
broad-minded [AND] glamorous [AND] comfortable [IMPLY] stubborn [PERIOD]
disobedient [AND] rational [AND] modern [IMPLY] innocent [PERIOD]
disobedient [AND] stubborn [IMPLY] messy [PERIOD]
modern [AND] vivacious [AND] glamorous [IMPLY] comfortable [PERIOD]
modern [IMPLY] friendly [PERIOD]
rational [AND] cute [AND] stubborn [IMPLY] joyous [PERIOD]
wandering [AND] mysterious [IMPLY] stubborn [PERIOD]
broad-minded [IMPLY] tidy [PERIOD]
stubborn [AND] supportive [AND] rational [IMPLY] tidy [PERIOD]
friendly [AND] glamorous [IMPLY] disobedient [PERIOD]
disobedient [AND] combative [AND] supportive [IMPLY] stubborn [PERIOD]
innocent [AND] joyous [IMPLY] rational [PERIOD]
innocent [AND] stubborn [IMPLY] friendly [PERIOD]
broad-minded [IMPLY] cute [PERIOD]
comfortable [AND] friendly [AND] broad-minded [IMPLY] combative [PERIOD]
joyous [IMPLY] disobedient [PERIOD]
broad-minded [AND] vivacious [AND] stubborn [IMPLY] disgusted [PERIOD]
comfortable [AND] stubborn [IMPLY] glamorous [PERIOD]
messy [AND] modern [IMPLY] joyous [PERIOD]
stubborn [AND] disobedient [AND] wandering [IMPLY] hypocritical [PERIOD]
disobedient [IMPLY] easy [PERIOD]
hypocritical [AND] broad-minded [AND] stubborn [IMPLY] wandering [PERIOD]
modern [AND] combative [AND] stubborn [IMPLY] wandering [PERIOD]
supportive [IMPLY] wandering [PERIOD]
cute [AND] glamorous [AND] disobedient [IMPLY] rational [PERIOD]
combative [IMPLY] joyous [PERIOD]
elegant [AND] friendly [IMPLY] disgusted [PERIOD]
broad-minded [AND] glamorous [IMPLY] combative [PERIOD]
modern [AND] rude [AND] comfortable [IMPLY] vivacious [PERIOD]
innocent [AND] rude [AND] easy [IMPLY] friendly [PERIOD]
disobedient [AND] elegant [IMPLY] cute [PERIOD]
light [AND] joyous [IMPLY] rational [PERIOD]
comfortable [IMPLY] disgusted [PERIOD]
modern [AND] tidy [IMPLY] wandering [PERIOD]
inquisitive [IMPLY] glamorous [PERIOD]
combative [IMPLY] mysterious [PERIOD]
stubborn [AND] broad-minded [AND] elegant [IMPLY] easy [PERIOD]
wandering [AND] cute [AND] vivacious [IMPLY] light [PERIOD]
stubborn [IMPLY] hypocritical [PERIOD]
cute [AND] disobedient [AND] light [IMPLY] easy [PERIOD]
joyous [AND] wandering [AND] elegant [IMPLY] cute [PERIOD]
rational [IMPLY] vivacious [PERIOD]
cute [IMPLY] supportive [PERIOD]
disgusted [AND] friendly [AND] innocent [IMPLY] tidy [PERIOD]
cute [AND] hypocritical [IMPLY] broad-minded [PERIOD]
comfortable [IMPLY] disobedient [PERIOD]
inquisitive [IMPLY] messy [PERIOD]
joyous [AND] friendly [IMPLY] broad-minded [PERIOD]
modern [IMPLY] tidy [PERIOD]
wandering [IMPLY] supportive [PERIOD]
joyous [AND] supportive [AND] elegant [IMPLY] disobedient [PERIOD]
broad-minded [IMPLY] stubborn [PERIOD]
vivacious [IMPLY] hypocritical [PERIOD]
elegant [AND] rational [IMPLY] vivacious [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   Cannot apply rule “hypocritical ∧ rude ⇒ rational” because missing: hypocritical, rude.
   Cannot apply rule “vivacious ∧ elegant ⇒ rational” because missing: vivacious, elegant.
   Cannot apply rule “innocent ∧ joyous ⇒ rational” because missing: innocent, joyous.
   Cannot apply rule “cute ∧ glamorous ∧ disobedient ⇒ rational” because missing: glamorous, disobedient.
   Cannot apply rule “light ∧ joyous ⇒ rational” because missing: light, joyous.
",0,5
"Facts:  Alice is good [PERIOD] Alice is comfortable [PERIOD] Alice is thoughtless [PERIOD] Alice is stormy [PERIOD] Alice is sleepy [PERIOD] Alice is powerful [PERIOD] Alice is broad-minded [PERIOD] Alice is disgusted [PERIOD] Alice is grumpy [PERIOD] Alice is cruel [PERIOD] Alice is intellectual [PERIOD] Alice is clean [PERIOD]
Rules:
comfortable [IMPLY] calm [PERIOD]
broad-minded [IMPLY] lonely [PERIOD]
sleepy [AND] shy [AND] cooperative [IMPLY] gorgeous [PERIOD]
courageous [AND] tender [AND] good [IMPLY] gorgeous [PERIOD]
broad-minded [AND] wide-eyed [AND] intellectual [IMPLY] witty [PERIOD]
clean [AND] homely [IMPLY] wide-eyed [PERIOD]
homely [AND] good [IMPLY] stormy [PERIOD]
helpful [AND] courageous [IMPLY] crowded [PERIOD]
disgusted [AND] broad-minded [IMPLY] wide-eyed [PERIOD]
hurt [AND] cooperative [IMPLY] broad-minded [PERIOD]
clean [AND] wide-eyed [IMPLY] combative [PERIOD]
shy [AND] courageous [IMPLY] grumpy [PERIOD]
shy [IMPLY] clean [PERIOD]
combative [IMPLY] hurt [PERIOD]
gifted [AND] sleepy [IMPLY] gorgeous [PERIOD]
disgusted [AND] cooperative [AND] broad-minded [IMPLY] powerful [PERIOD]
grumpy [AND] broad-minded [AND] wide-eyed [IMPLY] calm [PERIOD]
courageous [AND] broad-minded [IMPLY] lonely [PERIOD]
powerful [AND] stormy [IMPLY] cooperative [PERIOD]
courageous [AND] intellectual [AND] lonely [IMPLY] comfortable [PERIOD]
intellectual [AND] combative [AND] cruel [IMPLY] lonely [PERIOD]
hurt [AND] powerful [AND] cooperative [IMPLY] weary [PERIOD]
clean [AND] comfortable [AND] homely [IMPLY] combative [PERIOD]
sleepy [AND] good [AND] homely [IMPLY] tender [PERIOD]
comfortable [IMPLY] helpful [PERIOD]
wide-eyed [AND] sleepy [AND] shy [IMPLY] combative [PERIOD]
tender [AND] tired [AND] lonely [IMPLY] thoughtless [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   powerful ∧ stormy ⇒ cooperative
   Cannot apply rule “sleepy ∧ shy ∧ cooperative ⇒ gorgeous” because missing: shy.
   Cannot apply rule “courageous ∧ tender ∧ good ⇒ gorgeous” because missing: courageous, tender.
   Cannot apply rule “gifted ∧ sleepy ⇒ gorgeous” because missing: gifted.
",0,4
"Facts:  Alice is intellectual [PERIOD] Alice is comfortable [PERIOD]
Rules:
fancy [IMPLY] stubborn [PERIOD]
fancy [AND] intellectual [AND] modern [IMPLY] popular [PERIOD]
condemned [AND] modern [IMPLY] fancy [PERIOD]
fancy [IMPLY] comfortable [PERIOD]
comfortable [IMPLY] stubborn [PERIOD]
comfortable [AND] stubborn [IMPLY] intellectual [PERIOD]
stubborn [AND] condemned [AND] modern [IMPLY] popular [PERIOD]
stubborn [IMPLY] condemned [PERIOD]
fancy [IMPLY] modern [PERIOD]
popular [AND] comfortable [IMPLY] intellectual [PERIOD]
comfortable [IMPLY] fancy [PERIOD]
condemned [IMPLY] modern [PERIOD]
condemned [AND] fancy [AND] intellectual [IMPLY] modern [PERIOD]
modern [AND] popular [AND] stubborn [IMPLY] condemned [PERIOD]
modern [AND] stubborn [AND] condemned [IMPLY] fancy [PERIOD]
popular [AND] intellectual [IMPLY] fancy [PERIOD]
condemned [AND] fancy [AND] modern [IMPLY] popular [PERIOD]
fancy [AND] comfortable [AND] popular [IMPLY] condemned [PERIOD]
comfortable [AND] intellectual [AND] popular [IMPLY] condemned [PERIOD]
popular [AND] comfortable [IMPLY] stubborn [PERIOD]
modern [IMPLY] popular [PERIOD]
modern [AND] condemned [AND] popular [IMPLY] comfortable [PERIOD]
popular [AND] modern [AND] intellectual [IMPLY] comfortable [PERIOD]
stubborn [AND] condemned [AND] fancy [IMPLY] intellectual [PERIOD]
Query: Alice is modern [PERIOD]","Proof chain:
   comfortable ⇒ fancy
   fancy ⇒ modern
",1,2
"Facts:  Alice is frantic [PERIOD]
Rules:
different [AND] quaint [AND] uptight [IMPLY] frantic [PERIOD]
curious [AND] different [AND] uptight [IMPLY] quaint [PERIOD]
quaint [AND] frantic [AND] different [IMPLY] curious [PERIOD]
different [IMPLY] curious [PERIOD]
curious [AND] frantic [AND] quaint [IMPLY] uptight [PERIOD]
uptight [AND] quaint [AND] frantic [IMPLY] curious [PERIOD]
frantic [AND] quaint [IMPLY] curious [PERIOD]
curious [IMPLY] different [PERIOD]
curious [AND] different [AND] quaint [IMPLY] uptight [PERIOD]
frantic [AND] quaint [AND] uptight [IMPLY] different [PERIOD]
quaint [IMPLY] uptight [PERIOD]
different [AND] frantic [IMPLY] curious [PERIOD]
frantic [AND] uptight [IMPLY] different [PERIOD]
different [IMPLY] quaint [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   Cannot apply rule “curious ∧ different ∧ uptight ⇒ quaint” because missing: curious, different, uptight.
   Cannot apply rule “different ⇒ quaint” because missing: different.
",0,2
"Facts:  Alice is exuberant [PERIOD] Alice is pleasant [PERIOD] Alice is inquisitive [PERIOD]
Rules:
silly [AND] enchanting [AND] exuberant [IMPLY] bored [PERIOD]
curious [AND] long [IMPLY] attentive [PERIOD]
sensible [AND] exuberant [AND] witty [IMPLY] outrageous [PERIOD]
bored [IMPLY] gifted [PERIOD]
inquisitive [AND] bored [AND] gleaming [IMPLY] silly [PERIOD]
inquisitive [AND] naughty [IMPLY] amused [PERIOD]
friendly [AND] sensible [AND] naughty [IMPLY] inquisitive [PERIOD]
gleaming [AND] silly [IMPLY] attentive [PERIOD]
troubled [AND] silly [IMPLY] naughty [PERIOD]
outrageous [IMPLY] tired [PERIOD]
outrageous [AND] sensible [AND] curious [IMPLY] long [PERIOD]
exuberant [AND] witty [IMPLY] naughty [PERIOD]
silly [AND] long [IMPLY] bored [PERIOD]
outrageous [IMPLY] curious [PERIOD]
gleaming [AND] exuberant [AND] witty [IMPLY] silly [PERIOD]
plain [IMPLY] bored [PERIOD]
gleaming [IMPLY] inquisitive [PERIOD]
enchanting [AND] outrageous [AND] troubled [IMPLY] curious [PERIOD]
inquisitive [IMPLY] gleaming [PERIOD]
amused [AND] troubled [IMPLY] long [PERIOD]
attentive [AND] plain [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] curious [PERIOD]
plain [IMPLY] amused [PERIOD]
witty [AND] long [AND] friendly [IMPLY] amused [PERIOD]
bored [AND] outrageous [IMPLY] tired [PERIOD]
gleaming [IMPLY] curious [PERIOD]
inquisitive [AND] attentive [AND] curious [IMPLY] naughty [PERIOD]
silly [AND] naughty [AND] bored [IMPLY] pleasant [PERIOD]
gifted [AND] witty [IMPLY] tired [PERIOD]
bored [IMPLY] troubled [PERIOD]
curious [AND] tired [IMPLY] pleasant [PERIOD]
gleaming [AND] exuberant [IMPLY] witty [PERIOD]
long [AND] exuberant [AND] attentive [IMPLY] helpless [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   inquisitive ⇒ gleaming
   inquisitive ⇒ gleaming
   inquisitive ⇒ gleaming
   gleaming ∧ exuberant ⇒ witty
   gleaming ∧ exuberant ∧ witty ⇒ silly
   gleaming ∧ silly ⇒ attentive
   Cannot apply rule “long ∧ exuberant ∧ attentive ⇒ helpless” because missing: long.
",0,7
"Facts: 
Rules:
easy [AND] attractive [IMPLY] bossy [PERIOD]
diplomatic [AND] easy [AND] alert [IMPLY] bright [PERIOD]
impartial [IMPLY] dishonest [PERIOD]
bright [IMPLY] bossy [PERIOD]
alert [AND] popular [IMPLY] sensible [PERIOD]
attractive [AND] bossy [IMPLY] muddy [PERIOD]
jittery [AND] spotless [IMPLY] supportive [PERIOD]
supportive [IMPLY] wandering [PERIOD]
outstanding [AND] spotless [AND] easy [IMPLY] friendly [PERIOD]
ugly [AND] wandering [IMPLY] difficult [PERIOD]
thoughtful [AND] dishonest [AND] bright [IMPLY] horrible [PERIOD]
supportive [IMPLY] outstanding [PERIOD]
bright [AND] easy [IMPLY] jittery [PERIOD]
muddy [AND] jittery [AND] worrisome [IMPLY] spotless [PERIOD]
muddy [IMPLY] difficult [PERIOD]
attractive [AND] difficult [AND] wandering [IMPLY] bossy [PERIOD]
ugly [AND] spotless [IMPLY] popular [PERIOD]
bright [AND] worrisome [AND] mean [IMPLY] popular [PERIOD]
friendly [AND] bossy [IMPLY] thoughtful [PERIOD]
spotless [IMPLY] outstanding [PERIOD]
muddy [IMPLY] attractive [PERIOD]
thoughtful [IMPLY] difficult [PERIOD]
bright [AND] diplomatic [IMPLY] sensible [PERIOD]
thoughtful [IMPLY] dishonest [PERIOD]
popular [AND] bright [AND] alert [IMPLY] worrisome [PERIOD]
easy [AND] muddy [IMPLY] dishonest [PERIOD]
spotless [AND] worrisome [IMPLY] thoughtful [PERIOD]
spotless [AND] dishonest [AND] sensible [IMPLY] easy [PERIOD]
outstanding [AND] sensible [IMPLY] supportive [PERIOD]
wandering [IMPLY] alert [PERIOD]
muddy [IMPLY] ugly [PERIOD]
muddy [AND] bossy [AND] spotless [IMPLY] ugly [PERIOD]
wandering [IMPLY] ugly [PERIOD]
horrible [AND] supportive [IMPLY] spotless [PERIOD]
worrisome [IMPLY] friendly [PERIOD]
muddy [AND] difficult [AND] worrisome [IMPLY] supportive [PERIOD]
diplomatic [IMPLY] impartial [PERIOD]
worrisome [AND] horrible [AND] mean [IMPLY] impartial [PERIOD]
bossy [IMPLY] muddy [PERIOD]
horrible [AND] bossy [AND] difficult [IMPLY] outstanding [PERIOD]
friendly [AND] spotless [IMPLY] outstanding [PERIOD]
easy [AND] ugly [IMPLY] spotless [PERIOD]
bossy [AND] sensible [AND] mean [IMPLY] jittery [PERIOD]
sensible [AND] dishonest [AND] muddy [IMPLY] bright [PERIOD]
thoughtful [AND] easy [IMPLY] popular [PERIOD]
jittery [AND] bossy [IMPLY] ugly [PERIOD]
wandering [AND] worrisome [AND] alert [IMPLY] bossy [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   Cannot apply rule “impartial ⇒ dishonest” because missing: impartial.
   Cannot apply rule “thoughtful ⇒ dishonest” because missing: thoughtful.
   Cannot apply rule “easy ∧ muddy ⇒ dishonest” because missing: easy, muddy.
",0,3
"Facts: 
Rules:
stupid [AND] confused [IMPLY] helpful [PERIOD]
muddy [AND] straightforward [IMPLY] stupid [PERIOD]
stupid [AND] confused [AND] straightforward [IMPLY] tired [PERIOD]
muddy [AND] helpful [AND] outstanding [IMPLY] stupid [PERIOD]
tired [AND] muddy [AND] straightforward [IMPLY] helpful [PERIOD]
helpful [IMPLY] stupid [PERIOD]
muddy [IMPLY] helpful [PERIOD]
confused [IMPLY] muddy [PERIOD]
stupid [AND] outstanding [IMPLY] helpful [PERIOD]
stupid [AND] outstanding [AND] confused [IMPLY] helpful [PERIOD]
tired [AND] stupid [IMPLY] helpful [PERIOD]
stupid [AND] straightforward [IMPLY] tired [PERIOD]
muddy [AND] straightforward [IMPLY] confused [PERIOD]
stupid [AND] straightforward [AND] muddy [IMPLY] helpful [PERIOD]
outstanding [AND] straightforward [IMPLY] muddy [PERIOD]
straightforward [AND] helpful [AND] tired [IMPLY] confused [PERIOD]
helpful [IMPLY] confused [PERIOD]
outstanding [IMPLY] confused [PERIOD]
confused [IMPLY] straightforward [PERIOD]
stupid [AND] muddy [AND] confused [IMPLY] outstanding [PERIOD]
tired [AND] straightforward [IMPLY] muddy [PERIOD]
confused [AND] tired [AND] muddy [IMPLY] outstanding [PERIOD]
helpful [IMPLY] muddy [PERIOD]
muddy [AND] outstanding [AND] confused [IMPLY] stupid [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   Cannot apply rule “confused ⇒ muddy” because missing: confused.
   Cannot apply rule “outstanding ∧ straightforward ⇒ muddy” because missing: outstanding, straightforward.
   Cannot apply rule “tired ∧ straightforward ⇒ muddy” because missing: tired, straightforward.
   Cannot apply rule “helpful ⇒ muddy” because missing: helpful.
",0,4
"Facts:  Alice is tense [PERIOD] Alice is outstanding [PERIOD] Alice is frantic [PERIOD] Alice is easy [PERIOD] Alice is diplomatic [PERIOD] Alice is agreeable [PERIOD] Alice is impartial [PERIOD] Alice is perfect [PERIOD] Alice is mysterious [PERIOD] Alice is loving [PERIOD] Alice is talented [PERIOD] Alice is nervous [PERIOD] Alice is popular [PERIOD] Alice is gifted [PERIOD] Alice is frightened [PERIOD] Alice is broad-minded [PERIOD] Alice is sensible [PERIOD] Alice is frail [PERIOD] Alice is fragile [PERIOD] Alice is precious [PERIOD] Alice is wrong [PERIOD] Alice is long [PERIOD] Alice is ambitious [PERIOD] Alice is homely [PERIOD] Alice is pleasant [PERIOD] Alice is inquisitive [PERIOD] Alice is naughty [PERIOD] Alice is versatile [PERIOD]
Rules:
popular [IMPLY] versatile [PERIOD]
versatile [AND] frail [IMPLY] fragile [PERIOD]
agreeable [AND] broad-minded [AND] perfect [IMPLY] gifted [PERIOD]
gifted [AND] naughty [AND] inquisitive [IMPLY] frail [PERIOD]
popular [AND] agreeable [AND] pleasant [IMPLY] gifted [PERIOD]
inquisitive [AND] loving [IMPLY] mysterious [PERIOD]
frantic [AND] inquisitive [IMPLY] gifted [PERIOD]
frightened [AND] naughty [AND] pleasant [IMPLY] diplomatic [PERIOD]
tense [AND] ambitious [IMPLY] agreeable [PERIOD]
tense [AND] loving [IMPLY] naughty [PERIOD]
outstanding [AND] tense [IMPLY] popular [PERIOD]
versatile [IMPLY] outstanding [PERIOD]
pleasant [IMPLY] agreeable [PERIOD]
thoughtful [AND] impartial [IMPLY] mysterious [PERIOD]
inquisitive [AND] perfect [IMPLY] wrong [PERIOD]
loving [IMPLY] popular [PERIOD]
frightened [IMPLY] agreeable [PERIOD]
loving [IMPLY] frantic [PERIOD]
homely [AND] wrong [IMPLY] agreeable [PERIOD]
tense [AND] loving [IMPLY] outstanding [PERIOD]
frail [AND] diplomatic [AND] tense [IMPLY] naughty [PERIOD]
precious [AND] gifted [AND] frightened [IMPLY] naughty [PERIOD]
nervous [IMPLY] ambitious [PERIOD]
frail [AND] broad-minded [AND] precious [IMPLY] ambitious [PERIOD]
pleasant [IMPLY] popular [PERIOD]
ambitious [IMPLY] thoughtful [PERIOD]
impartial [AND] sensible [AND] long [IMPLY] talented [PERIOD]
easy [IMPLY] nervous [PERIOD]
outstanding [IMPLY] wrong [PERIOD]
versatile [IMPLY] pleasant [PERIOD]
gifted [AND] inquisitive [AND] frightened [IMPLY] popular [PERIOD]
outstanding [AND] homely [IMPLY] loving [PERIOD]
talented [IMPLY] tense [PERIOD]
versatile [AND] tense [IMPLY] thoughtful [PERIOD]
wrong [IMPLY] outstanding [PERIOD]
frantic [AND] naughty [AND] ambitious [IMPLY] wrong [PERIOD]
agreeable [AND] long [AND] naughty [IMPLY] ambitious [PERIOD]
diplomatic [AND] gifted [IMPLY] frightened [PERIOD]
frail [IMPLY] easy [PERIOD]
impartial [AND] gifted [AND] frail [IMPLY] frightened [PERIOD]
homely [IMPLY] loving [PERIOD]
precious [AND] talented [IMPLY] loving [PERIOD]
ambitious [IMPLY] outstanding [PERIOD]
thoughtful [AND] wrong [IMPLY] frightened [PERIOD]
homely [IMPLY] broad-minded [PERIOD]
wrong [AND] perfect [AND] frail [IMPLY] outstanding [PERIOD]
talented [AND] easy [AND] fragile [IMPLY] mysterious [PERIOD]
agreeable [IMPLY] frantic [PERIOD]
agreeable [AND] diplomatic [AND] fragile [IMPLY] ambitious [PERIOD]
impartial [AND] ambitious [IMPLY] homely [PERIOD]
nervous [AND] versatile [AND] popular [IMPLY] sensible [PERIOD]
talented [IMPLY] inquisitive [PERIOD]
tense [AND] precious [IMPLY] mysterious [PERIOD]
nervous [AND] loving [AND] wrong [IMPLY] broad-minded [PERIOD]
diplomatic [IMPLY] tense [PERIOD]
thoughtful [IMPLY] inquisitive [PERIOD]
wrong [IMPLY] talented [PERIOD]
agreeable [AND] thoughtful [IMPLY] outstanding [PERIOD]
thoughtful [AND] homely [AND] long [IMPLY] diplomatic [PERIOD]
mysterious [AND] perfect [AND] frail [IMPLY] tense [PERIOD]
fragile [IMPLY] homely [PERIOD]
impartial [IMPLY] ambitious [PERIOD]
frantic [IMPLY] perfect [PERIOD]
loving [AND] pleasant [AND] popular [IMPLY] tense [PERIOD]
sensible [AND] diplomatic [IMPLY] frantic [PERIOD]
loving [IMPLY] naughty [PERIOD]
talented [AND] broad-minded [IMPLY] fragile [PERIOD]
thoughtful [IMPLY] homely [PERIOD]
long [AND] frightened [AND] precious [IMPLY] broad-minded [PERIOD]
versatile [AND] broad-minded [IMPLY] agreeable [PERIOD]
diplomatic [IMPLY] perfect [PERIOD]
loving [AND] popular [IMPLY] pleasant [PERIOD]
easy [AND] frightened [IMPLY] pleasant [PERIOD]
outstanding [AND] agreeable [AND] sensible [IMPLY] long [PERIOD]
pleasant [IMPLY] ambitious [PERIOD]
broad-minded [IMPLY] gifted [PERIOD]
versatile [IMPLY] broad-minded [PERIOD]
agreeable [IMPLY] frail [PERIOD]
sensible [AND] homely [IMPLY] talented [PERIOD]
naughty [AND] easy [IMPLY] frail [PERIOD]
talented [AND] mysterious [AND] pleasant [IMPLY] loving [PERIOD]
outstanding [AND] frantic [AND] thoughtful [IMPLY] long [PERIOD]
mysterious [IMPLY] thoughtful [PERIOD]
outstanding [AND] impartial [AND] versatile [IMPLY] wrong [PERIOD]
frightened [IMPLY] thoughtful [PERIOD]
inquisitive [IMPLY] talented [PERIOD]
gifted [IMPLY] outstanding [PERIOD]
frantic [IMPLY] loving [PERIOD]
tense [AND] precious [IMPLY] easy [PERIOD]
pleasant [IMPLY] mysterious [PERIOD]
popular [IMPLY] impartial [PERIOD]
frightened [AND] long [AND] naughty [IMPLY] homely [PERIOD]
talented [AND] frightened [AND] perfect [IMPLY] frantic [PERIOD]
sensible [IMPLY] frantic [PERIOD]
nervous [AND] tense [IMPLY] popular [PERIOD]
ambitious [AND] nervous [AND] thoughtful [IMPLY] wrong [PERIOD]
homely [AND] frantic [AND] mysterious [IMPLY] naughty [PERIOD]
diplomatic [IMPLY] fragile [PERIOD]
naughty [AND] mysterious [IMPLY] tense [PERIOD]
ambitious [AND] easy [IMPLY] diplomatic [PERIOD]
versatile [AND] long [IMPLY] nervous [PERIOD]
broad-minded [IMPLY] precious [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is enchanting [PERIOD] Alice is zealous [PERIOD] Alice is beautiful [PERIOD] Alice is cruel [PERIOD] Alice is smart [PERIOD]
Rules:
embarrassed [AND] joyous [IMPLY] grumpy [PERIOD]
homely [IMPLY] smart [PERIOD]
straightforward [AND] quaint [AND] troubled [IMPLY] modern [PERIOD]
sleepy [IMPLY] good [PERIOD]
beautiful [AND] embarrassed [AND] elegant [IMPLY] outstanding [PERIOD]
difficult [IMPLY] straightforward [PERIOD]
joyous [IMPLY] homely [PERIOD]
average [IMPLY] beautiful [PERIOD]
modern [AND] zealous [AND] reserved [IMPLY] frightened [PERIOD]
homely [AND] reserved [IMPLY] good [PERIOD]
outstanding [AND] frightened [IMPLY] homely [PERIOD]
homely [AND] quaint [AND] bored [IMPLY] grumpy [PERIOD]
difficult [AND] embarrassed [IMPLY] beautiful [PERIOD]
wide-eyed [AND] enchanting [AND] impartial [IMPLY] smart [PERIOD]
homely [AND] quaint [AND] troubled [IMPLY] victorious [PERIOD]
good [IMPLY] sleepy [PERIOD]
sensible [AND] sleepy [IMPLY] average [PERIOD]
straightforward [IMPLY] joyous [PERIOD]
grumpy [IMPLY] cruel [PERIOD]
smart [AND] joyous [AND] embarrassed [IMPLY] straightforward [PERIOD]
victorious [IMPLY] modern [PERIOD]
good [AND] gleaming [IMPLY] cruel [PERIOD]
beautiful [AND] joyous [IMPLY] victorious [PERIOD]
elegant [IMPLY] sensible [PERIOD]
sleepy [AND] frightened [IMPLY] zealous [PERIOD]
straightforward [AND] victorious [AND] homely [IMPLY] condemned [PERIOD]
average [IMPLY] bored [PERIOD]
reserved [AND] victorious [IMPLY] zealous [PERIOD]
enchanting [AND] impartial [IMPLY] bored [PERIOD]
gleaming [IMPLY] sensible [PERIOD]
frightened [AND] embarrassed [AND] elegant [IMPLY] good [PERIOD]
good [IMPLY] condemned [PERIOD]
straightforward [AND] beautiful [AND] modern [IMPLY] wide-eyed [PERIOD]
sleepy [AND] reserved [AND] straightforward [IMPLY] troubled [PERIOD]
smart [IMPLY] zealous [PERIOD]
smart [AND] victorious [AND] average [IMPLY] enchanting [PERIOD]
joyous [AND] quaint [IMPLY] muddy [PERIOD]
grumpy [AND] gleaming [AND] enchanting [IMPLY] average [PERIOD]
smart [IMPLY] joyous [PERIOD]
gleaming [AND] sleepy [AND] embarrassed [IMPLY] homely [PERIOD]
embarrassed [AND] cruel [AND] impartial [IMPLY] reserved [PERIOD]
grumpy [AND] homely [IMPLY] sleepy [PERIOD]
modern [IMPLY] zealous [PERIOD]
impartial [AND] grumpy [IMPLY] elegant [PERIOD]
condemned [AND] wide-eyed [AND] sleepy [IMPLY] quaint [PERIOD]
talented [IMPLY] smart [PERIOD]
frightened [IMPLY] modern [PERIOD]
joyous [AND] gleaming [IMPLY] modern [PERIOD]
frightened [IMPLY] beautiful [PERIOD]
homely [AND] frightened [AND] straightforward [IMPLY] troubled [PERIOD]
impartial [AND] good [AND] homely [IMPLY] beautiful [PERIOD]
zealous [AND] bored [AND] homely [IMPLY] joyous [PERIOD]
homely [AND] joyous [AND] straightforward [IMPLY] sensible [PERIOD]
beautiful [AND] enchanting [AND] reserved [IMPLY] average [PERIOD]
talented [AND] frightened [AND] gleaming [IMPLY] average [PERIOD]
zealous [AND] impartial [IMPLY] troubled [PERIOD]
sensible [IMPLY] outstanding [PERIOD]
gleaming [AND] elegant [AND] quaint [IMPLY] smart [PERIOD]
good [AND] joyous [AND] modern [IMPLY] talented [PERIOD]
troubled [AND] outstanding [IMPLY] frightened [PERIOD]
cruel [AND] condemned [IMPLY] bored [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   Cannot apply rule “difficult ⇒ straightforward” because missing: difficult.
   smart ⇒ joyous
   Cannot apply rule “smart ∧ joyous ∧ embarrassed ⇒ straightforward” because missing: embarrassed.
",0,3
"Facts:  Alice is disgusted [PERIOD] Alice is blushing [PERIOD] Alice is busy [PERIOD] Alice is tidy [PERIOD] Alice is courageous [PERIOD] Alice is tender [PERIOD] Alice is sincere [PERIOD] Alice is zealous [PERIOD] Alice is cruel [PERIOD] Alice is inquisitive [PERIOD] Alice is good [PERIOD] Alice is serious [PERIOD] Alice is nervous [PERIOD]
Rules:
helpful [IMPLY] anxious [PERIOD]
zealous [IMPLY] inquisitive [PERIOD]
disgusted [AND] bad-tempered [IMPLY] tidy [PERIOD]
busy [AND] bad-tempered [AND] troubled [IMPLY] blushing [PERIOD]
plain [AND] elegant [IMPLY] helpful [PERIOD]
blushing [AND] jittery [AND] elegant [IMPLY] good [PERIOD]
serious [AND] sincere [IMPLY] talented [PERIOD]
busy [AND] quaint [IMPLY] bad-tempered [PERIOD]
dishonest [AND] confident [AND] impatient [IMPLY] troubled [PERIOD]
serious [IMPLY] busy [PERIOD]
jittery [IMPLY] nervous [PERIOD]
helpful [AND] disgusted [IMPLY] troubled [PERIOD]
jittery [AND] condemned [AND] cruel [IMPLY] blushing [PERIOD]
courageous [AND] busy [AND] zealous [IMPLY] condemned [PERIOD]
confident [IMPLY] inquisitive [PERIOD]
good [AND] plain [AND] helpful [IMPLY] dishonest [PERIOD]
helpful [IMPLY] troubled [PERIOD]
serious [AND] busy [IMPLY] zealous [PERIOD]
jittery [AND] disgusted [AND] condemned [IMPLY] tidy [PERIOD]
horrible [AND] busy [IMPLY] confident [PERIOD]
blushing [IMPLY] sincere [PERIOD]
tender [IMPLY] cruel [PERIOD]
jittery [AND] good [AND] nervous [IMPLY] tender [PERIOD]
serious [AND] talented [IMPLY] nervous [PERIOD]
busy [IMPLY] horrible [PERIOD]
quaint [AND] impatient [AND] nervous [IMPLY] confident [PERIOD]
weary [AND] elegant [IMPLY] rude [PERIOD]
good [AND] nervous [IMPLY] quaint [PERIOD]
rude [AND] anxious [IMPLY] nervous [PERIOD]
cruel [AND] inquisitive [AND] anxious [IMPLY] courageous [PERIOD]
nervous [AND] weary [IMPLY] elegant [PERIOD]
elegant [IMPLY] helpful [PERIOD]
blushing [AND] quaint [IMPLY] confident [PERIOD]
good [AND] serious [AND] busy [IMPLY] helpful [PERIOD]
helpful [AND] tidy [AND] blushing [IMPLY] confident [PERIOD]
jittery [AND] disgusted [AND] talented [IMPLY] troubled [PERIOD]
tender [IMPLY] tidy [PERIOD]
elegant [AND] condemned [IMPLY] dishonest [PERIOD]
dishonest [AND] troubled [IMPLY] busy [PERIOD]
bad-tempered [AND] courageous [IMPLY] zealous [PERIOD]
zealous [AND] plain [AND] confident [IMPLY] talented [PERIOD]
jittery [IMPLY] horrible [PERIOD]
condemned [AND] blushing [AND] inquisitive [IMPLY] talented [PERIOD]
inquisitive [AND] elegant [IMPLY] quaint [PERIOD]
sincere [AND] impatient [IMPLY] troubled [PERIOD]
talented [AND] tidy [AND] plain [IMPLY] elegant [PERIOD]
serious [IMPLY] courageous [PERIOD]
inquisitive [AND] courageous [IMPLY] plain [PERIOD]
tender [AND] helpful [IMPLY] anxious [PERIOD]
rude [AND] horrible [AND] talented [IMPLY] cruel [PERIOD]
impatient [IMPLY] disgusted [PERIOD]
inquisitive [AND] elegant [IMPLY] jittery [PERIOD]
horrible [IMPLY] weary [PERIOD]
cruel [AND] troubled [AND] jittery [IMPLY] talented [PERIOD]
good [IMPLY] talented [PERIOD]
confident [AND] weary [AND] blushing [IMPLY] horrible [PERIOD]
quaint [IMPLY] horrible [PERIOD]
tender [AND] zealous [IMPLY] blushing [PERIOD]
disgusted [AND] plain [IMPLY] impatient [PERIOD]
nervous [AND] good [AND] talented [IMPLY] zealous [PERIOD]
elegant [AND] inquisitive [AND] busy [IMPLY] anxious [PERIOD]
confident [IMPLY] talented [PERIOD]
anxious [IMPLY] courageous [PERIOD]
cruel [AND] confident [IMPLY] elegant [PERIOD]
helpful [IMPLY] jittery [PERIOD]
tender [IMPLY] talented [PERIOD]
serious [IMPLY] plain [PERIOD]
courageous [AND] weary [IMPLY] plain [PERIOD]
confident [AND] blushing [IMPLY] elegant [PERIOD]
tender [AND] weary [IMPLY] elegant [PERIOD]
courageous [IMPLY] plain [PERIOD]
tidy [AND] helpful [AND] anxious [IMPLY] rude [PERIOD]
anxious [IMPLY] zealous [PERIOD]
tender [AND] horrible [AND] confident [IMPLY] weary [PERIOD]
helpful [AND] good [IMPLY] quaint [PERIOD]
courageous [AND] sincere [IMPLY] tidy [PERIOD]
confident [IMPLY] weary [PERIOD]
confident [AND] bad-tempered [AND] anxious [IMPLY] courageous [PERIOD]
quaint [AND] good [AND] nervous [IMPLY] weary [PERIOD]
elegant [AND] talented [IMPLY] troubled [PERIOD]
anxious [AND] sincere [AND] busy [IMPLY] confident [PERIOD]
weary [IMPLY] busy [PERIOD]
elegant [AND] confident [AND] zealous [IMPLY] helpful [PERIOD]
talented [AND] horrible [AND] confident [IMPLY] courageous [PERIOD]
weary [AND] tidy [AND] plain [IMPLY] blushing [PERIOD]
weary [AND] nervous [IMPLY] plain [PERIOD]
jittery [AND] cruel [AND] dishonest [IMPLY] troubled [PERIOD]
jittery [AND] serious [IMPLY] plain [PERIOD]
tender [AND] cruel [IMPLY] zealous [PERIOD]
dishonest [AND] courageous [AND] blushing [IMPLY] anxious [PERIOD]
good [AND] cruel [IMPLY] tidy [PERIOD]
horrible [AND] good [IMPLY] rude [PERIOD]
good [AND] cruel [IMPLY] impatient [PERIOD]
tidy [AND] helpful [IMPLY] troubled [PERIOD]
zealous [AND] dishonest [IMPLY] talented [PERIOD]
rude [IMPLY] weary [PERIOD]
condemned [AND] jittery [IMPLY] plain [PERIOD]
troubled [AND] bad-tempered [IMPLY] tidy [PERIOD]
dishonest [AND] jittery [AND] impatient [IMPLY] weary [PERIOD]
elegant [AND] tidy [AND] helpful [IMPLY] disgusted [PERIOD]
serious [AND] zealous [IMPLY] plain [PERIOD]
dishonest [AND] zealous [IMPLY] plain [PERIOD]
inquisitive [AND] good [AND] serious [IMPLY] talented [PERIOD]
bad-tempered [IMPLY] impatient [PERIOD]
impatient [AND] quaint [IMPLY] inquisitive [PERIOD]
disgusted [IMPLY] condemned [PERIOD]
plain [IMPLY] elegant [PERIOD]
condemned [IMPLY] impatient [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   good ∧ nervous ⇒ quaint
   busy ∧ quaint ⇒ bad-tempered
",1,2
"Facts:  Alice is busy [PERIOD] Alice is straightforward [PERIOD] Alice is victorious [PERIOD] Alice is unpleasant [PERIOD] Alice is elated [PERIOD] Alice is friendly [PERIOD] Alice is quaint [PERIOD]
Rules:
quaint [AND] bossy [IMPLY] famous [PERIOD]
polite [IMPLY] selfish [PERIOD]
selfish [AND] victorious [AND] zealous [IMPLY] friendly [PERIOD]
busy [AND] unpleasant [IMPLY] polite [PERIOD]
victorious [AND] polite [IMPLY] elated [PERIOD]
polite [AND] quaint [AND] victorious [IMPLY] busy [PERIOD]
quaint [AND] friendly [IMPLY] straightforward [PERIOD]
busy [IMPLY] straightforward [PERIOD]
busy [IMPLY] popular [PERIOD]
bossy [AND] selfish [IMPLY] quaint [PERIOD]
zealous [AND] straightforward [AND] elated [IMPLY] friendly [PERIOD]
straightforward [IMPLY] busy [PERIOD]
friendly [IMPLY] busy [PERIOD]
polite [AND] popular [AND] unpleasant [IMPLY] elated [PERIOD]
victorious [IMPLY] polite [PERIOD]
quaint [AND] unpleasant [IMPLY] selfish [PERIOD]
bossy [IMPLY] polite [PERIOD]
selfish [AND] busy [AND] elated [IMPLY] zealous [PERIOD]
friendly [IMPLY] popular [PERIOD]
polite [AND] quaint [AND] elated [IMPLY] zealous [PERIOD]
unpleasant [AND] busy [IMPLY] quaint [PERIOD]
zealous [IMPLY] unpleasant [PERIOD]
quaint [IMPLY] unpleasant [PERIOD]
bossy [IMPLY] famous [PERIOD]
unpleasant [IMPLY] straightforward [PERIOD]
polite [AND] busy [AND] victorious [IMPLY] famous [PERIOD]
friendly [IMPLY] polite [PERIOD]
victorious [AND] popular [AND] unpleasant [IMPLY] bossy [PERIOD]
busy [AND] polite [IMPLY] straightforward [PERIOD]
unpleasant [AND] friendly [AND] quaint [IMPLY] victorious [PERIOD]
straightforward [IMPLY] quaint [PERIOD]
bossy [AND] zealous [IMPLY] unpleasant [PERIOD]
polite [AND] famous [AND] victorious [IMPLY] straightforward [PERIOD]
straightforward [AND] famous [IMPLY] elated [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   busy ⇒ popular
   victorious ∧ popular ∧ unpleasant ⇒ bossy
",1,2
"Facts:  Alice is thoughtless [PERIOD] Alice is unpleasant [PERIOD]
Rules:
unpleasant [AND] difficult [AND] loving [IMPLY] thoughtless [PERIOD]
unpleasant [AND] cooperative [AND] gifted [IMPLY] difficult [PERIOD]
unpleasant [IMPLY] difficult [PERIOD]
gifted [AND] difficult [IMPLY] cooperative [PERIOD]
fragile [AND] unpleasant [AND] gifted [IMPLY] rude [PERIOD]
cooperative [IMPLY] difficult [PERIOD]
unpleasant [AND] loving [IMPLY] difficult [PERIOD]
cooperative [IMPLY] thoughtless [PERIOD]
fragile [IMPLY] difficult [PERIOD]
loving [AND] difficult [IMPLY] cooperative [PERIOD]
fragile [AND] difficult [AND] loving [IMPLY] thoughtless [PERIOD]
difficult [IMPLY] crowded [PERIOD]
unpleasant [IMPLY] gifted [PERIOD]
cooperative [AND] crowded [IMPLY] loving [PERIOD]
crowded [AND] fragile [AND] loving [IMPLY] unpleasant [PERIOD]
crowded [AND] thoughtless [AND] fragile [IMPLY] gifted [PERIOD]
crowded [IMPLY] thoughtless [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   unpleasant ⇒ gifted
   unpleasant ⇒ difficult
   gifted ∧ difficult ⇒ cooperative
   unpleasant ⇒ difficult
   difficult ⇒ crowded
   cooperative ∧ crowded ⇒ loving
",1,6
"Facts:  Alice is wrong [PERIOD] Alice is good [PERIOD] Alice is troubled [PERIOD] Alice is versatile [PERIOD] Alice is light [PERIOD]
Rules:
worrisome [AND] fine [IMPLY] blushing [PERIOD]
anxious [AND] light [AND] blushing [IMPLY] proud [PERIOD]
messy [AND] proud [AND] wrong [IMPLY] lucky [PERIOD]
wrong [AND] blushing [AND] old-fashioned [IMPLY] versatile [PERIOD]
messy [IMPLY] fine [PERIOD]
lucky [AND] serious [AND] proud [IMPLY] careless [PERIOD]
tame [AND] light [AND] proud [IMPLY] long [PERIOD]
blushing [AND] messy [AND] rational [IMPLY] worrisome [PERIOD]
good [AND] versatile [IMPLY] worrisome [PERIOD]
proud [AND] worrisome [IMPLY] fine [PERIOD]
old-fashioned [IMPLY] anxious [PERIOD]
innocent [AND] rational [AND] old-fashioned [IMPLY] light [PERIOD]
rational [IMPLY] messy [PERIOD]
rational [IMPLY] good [PERIOD]
good [AND] wrong [AND] rational [IMPLY] light [PERIOD]
careless [AND] fine [AND] wrong [IMPLY] proud [PERIOD]
fine [AND] good [IMPLY] proud [PERIOD]
careless [AND] serious [AND] innocent [IMPLY] anxious [PERIOD]
strange [AND] worrisome [AND] tame [IMPLY] rational [PERIOD]
anxious [AND] long [AND] fine [IMPLY] careless [PERIOD]
strange [AND] light [AND] old-fashioned [IMPLY] long [PERIOD]
strange [AND] messy [AND] rational [IMPLY] old-fashioned [PERIOD]
good [AND] proud [IMPLY] innocent [PERIOD]
good [AND] proud [AND] strange [IMPLY] troubled [PERIOD]
worrisome [IMPLY] serious [PERIOD]
troubled [AND] innocent [AND] wrong [IMPLY] serious [PERIOD]
good [AND] wrong [AND] careless [IMPLY] strange [PERIOD]
fine [IMPLY] old-fashioned [PERIOD]
lucky [IMPLY] blushing [PERIOD]
fine [IMPLY] worrisome [PERIOD]
fine [AND] anxious [IMPLY] troubled [PERIOD]
blushing [AND] innocent [AND] strange [IMPLY] troubled [PERIOD]
versatile [IMPLY] worrisome [PERIOD]
good [AND] proud [AND] rational [IMPLY] careless [PERIOD]
careless [IMPLY] lucky [PERIOD]
long [AND] innocent [IMPLY] wrong [PERIOD]
messy [IMPLY] strange [PERIOD]
troubled [AND] careless [AND] blushing [IMPLY] versatile [PERIOD]
wrong [AND] strange [AND] long [IMPLY] rational [PERIOD]
messy [AND] anxious [IMPLY] blushing [PERIOD]
versatile [AND] tame [IMPLY] wrong [PERIOD]
troubled [AND] long [IMPLY] fine [PERIOD]
careless [AND] blushing [IMPLY] proud [PERIOD]
light [AND] troubled [AND] strange [IMPLY] long [PERIOD]
innocent [AND] careless [IMPLY] anxious [PERIOD]
proud [IMPLY] serious [PERIOD]
troubled [AND] anxious [AND] lucky [IMPLY] careless [PERIOD]
worrisome [AND] wrong [IMPLY] strange [PERIOD]
blushing [AND] worrisome [AND] wrong [IMPLY] long [PERIOD]
messy [IMPLY] lucky [PERIOD]
troubled [IMPLY] wrong [PERIOD]
anxious [IMPLY] serious [PERIOD]
innocent [IMPLY] careless [PERIOD]
strange [AND] tame [IMPLY] innocent [PERIOD]
light [AND] old-fashioned [AND] messy [IMPLY] serious [PERIOD]
versatile [AND] lucky [IMPLY] troubled [PERIOD]
messy [IMPLY] proud [PERIOD]
serious [IMPLY] good [PERIOD]
innocent [AND] good [IMPLY] worrisome [PERIOD]
proud [IMPLY] tame [PERIOD]
strange [IMPLY] blushing [PERIOD]
tame [AND] light [IMPLY] wrong [PERIOD]
lucky [IMPLY] long [PERIOD]
innocent [AND] anxious [IMPLY] lucky [PERIOD]
good [AND] fine [AND] troubled [IMPLY] rational [PERIOD]
light [AND] worrisome [AND] troubled [IMPLY] proud [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   good ∧ versatile ⇒ worrisome
   light ∧ worrisome ∧ troubled ⇒ proud
   good ∧ versatile ⇒ worrisome
   proud ∧ worrisome ⇒ fine
   fine ⇒ old-fashioned
",1,5
"Facts:  Alice is bossy [PERIOD] Alice is ugliest [PERIOD] Alice is nervous [PERIOD]
Rules:
nervous [AND] inexpensive [IMPLY] supportive [PERIOD]
careless [AND] attentive [IMPLY] powerful [PERIOD]
supportive [IMPLY] careless [PERIOD]
nervous [IMPLY] ugliest [PERIOD]
attentive [AND] enchanting [IMPLY] amused [PERIOD]
ugliest [IMPLY] enchanting [PERIOD]
agreeable [AND] inexpensive [AND] rude [IMPLY] ugliest [PERIOD]
agreeable [AND] ugliest [IMPLY] rude [PERIOD]
nervous [AND] agreeable [AND] inexpensive [IMPLY] powerful [PERIOD]
agreeable [AND] supportive [AND] careless [IMPLY] powerful [PERIOD]
nervous [AND] agreeable [IMPLY] inexpensive [PERIOD]
supportive [AND] powerful [IMPLY] nervous [PERIOD]
careless [AND] powerful [AND] agreeable [IMPLY] attentive [PERIOD]
nervous [AND] supportive [AND] amused [IMPLY] enchanting [PERIOD]
agreeable [IMPLY] supportive [PERIOD]
enchanting [AND] nervous [IMPLY] careless [PERIOD]
inexpensive [AND] powerful [AND] attentive [IMPLY] amused [PERIOD]
enchanting [AND] attentive [AND] powerful [IMPLY] nervous [PERIOD]
nervous [IMPLY] inexpensive [PERIOD]
inexpensive [AND] attentive [AND] rude [IMPLY] supportive [PERIOD]
enchanting [AND] careless [AND] agreeable [IMPLY] powerful [PERIOD]
agreeable [AND] enchanting [AND] inexpensive [IMPLY] nervous [PERIOD]
nervous [AND] careless [AND] inexpensive [IMPLY] agreeable [PERIOD]
supportive [AND] bossy [AND] rude [IMPLY] enchanting [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
   ugliest ⇒ enchanting
   enchanting ∧ nervous ⇒ careless
   nervous ⇒ inexpensive
   nervous ∧ careless ∧ inexpensive ⇒ agreeable
   agreeable ∧ ugliest ⇒ rude
",1,5
"Facts:  Alice is elegant [PERIOD] Alice is bossy [PERIOD] Alice is attractive [PERIOD] Alice is naughty [PERIOD] Alice is friendly [PERIOD] Alice is ugly [PERIOD] Alice is ugliest [PERIOD] Alice is horrible [PERIOD] Alice is thoughtless [PERIOD] Alice is worrisome [PERIOD] Alice is homely [PERIOD]
Rules:
homely [AND] bossy [AND] ugly [IMPLY] thoughtless [PERIOD]
ugliest [AND] ugly [AND] friendly [IMPLY] horrible [PERIOD]
bossy [AND] tame [IMPLY] worrisome [PERIOD]
ugliest [AND] naughty [IMPLY] tame [PERIOD]
horrible [AND] elegant [IMPLY] ugliest [PERIOD]
friendly [AND] homely [IMPLY] elegant [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is elegant [PERIOD] Alice is popular [PERIOD] Alice is careless [PERIOD] Alice is sleepy [PERIOD] Alice is crowded [PERIOD] Alice is different [PERIOD]
Rules:
lucky [IMPLY] dishonest [PERIOD]
sleepy [AND] bad-tempered [AND] anxious [IMPLY] lucky [PERIOD]
bad-tempered [AND] different [AND] lucky [IMPLY] outstanding [PERIOD]
different [AND] anxious [AND] elegant [IMPLY] careless [PERIOD]
elegant [AND] different [AND] careless [IMPLY] dishonest [PERIOD]
careless [IMPLY] bad-tempered [PERIOD]
outstanding [AND] sleepy [AND] popular [IMPLY] careless [PERIOD]
careless [AND] anxious [IMPLY] popular [PERIOD]
outstanding [AND] nervous [IMPLY] popular [PERIOD]
lucky [IMPLY] outstanding [PERIOD]
nervous [AND] elegant [AND] anxious [IMPLY] sleepy [PERIOD]
lucky [AND] crowded [AND] elegant [IMPLY] different [PERIOD]
popular [AND] elegant [AND] anxious [IMPLY] nervous [PERIOD]
crowded [AND] outstanding [IMPLY] bad-tempered [PERIOD]
dishonest [AND] crowded [AND] lucky [IMPLY] nervous [PERIOD]
sleepy [IMPLY] different [PERIOD]
dishonest [AND] outstanding [AND] elegant [IMPLY] anxious [PERIOD]
crowded [AND] bad-tempered [IMPLY] anxious [PERIOD]
bad-tempered [IMPLY] elegant [PERIOD]
sleepy [AND] bad-tempered [IMPLY] elegant [PERIOD]
dishonest [IMPLY] popular [PERIOD]
lucky [AND] different [IMPLY] elegant [PERIOD]
sleepy [IMPLY] lucky [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   sleepy ⇒ lucky
",1,1
"Facts:  Alice is stormy [PERIOD] Alice is spotless [PERIOD]
Rules:
ugliest [AND] light [AND] zealous [IMPLY] outstanding [PERIOD]
zealous [IMPLY] loving [PERIOD]
fragile [IMPLY] stormy [PERIOD]
inquisitive [IMPLY] jittery [PERIOD]
fragile [AND] loving [AND] curious [IMPLY] outstanding [PERIOD]
zealous [IMPLY] quaint [PERIOD]
spotless [AND] loving [AND] silly [IMPLY] elated [PERIOD]
light [AND] outstanding [AND] elated [IMPLY] jittery [PERIOD]
versatile [AND] light [AND] anxious [IMPLY] curious [PERIOD]
anxious [IMPLY] fragile [PERIOD]
silly [AND] inquisitive [AND] stormy [IMPLY] anxious [PERIOD]
outstanding [AND] jittery [AND] loving [IMPLY] silly [PERIOD]
jittery [AND] loving [IMPLY] fragile [PERIOD]
curious [AND] stormy [IMPLY] loving [PERIOD]
silly [AND] spotless [IMPLY] anxious [PERIOD]
curious [AND] quaint [IMPLY] serious [PERIOD]
jittery [IMPLY] serious [PERIOD]
quaint [IMPLY] loving [PERIOD]
silly [AND] quaint [IMPLY] versatile [PERIOD]
versatile [AND] zealous [AND] elated [IMPLY] spotless [PERIOD]
elated [IMPLY] silly [PERIOD]
serious [IMPLY] elated [PERIOD]
light [IMPLY] anxious [PERIOD]
elated [AND] inquisitive [AND] amused [IMPLY] serious [PERIOD]
inquisitive [AND] fragile [IMPLY] ugliest [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   Cannot apply rule “silly ∧ inquisitive ∧ stormy ⇒ anxious” because missing: silly, inquisitive.
   Cannot apply rule “silly ∧ spotless ⇒ anxious” because missing: silly.
   Cannot apply rule “light ⇒ anxious” because missing: light.
",0,3
"Facts:  Alice is enchanting [PERIOD] Alice is quaint [PERIOD] Alice is jittery [PERIOD] Alice is nervous [PERIOD]
Rules:
innocent [AND] helpful [IMPLY] attentive [PERIOD]
fearless [AND] hilarious [IMPLY] distinct [PERIOD]
distinct [IMPLY] attentive [PERIOD]
innocent [AND] supportive [IMPLY] beautiful [PERIOD]
innocent [AND] worrisome [AND] courageous [IMPLY] jittery [PERIOD]
good [AND] shiny [IMPLY] outstanding [PERIOD]
nervous [AND] hilarious [IMPLY] easy [PERIOD]
good [AND] unpleasant [IMPLY] easy [PERIOD]
shy [IMPLY] helpful [PERIOD]
distinct [AND] crowded [IMPLY] enchanting [PERIOD]
unpleasant [AND] courageous [IMPLY] supportive [PERIOD]
comfortable [IMPLY] worrisome [PERIOD]
fearless [AND] worrisome [IMPLY] quaint [PERIOD]
worrisome [IMPLY] vivacious [PERIOD]
good [IMPLY] shy [PERIOD]
crowded [AND] jittery [AND] innocent [IMPLY] unpleasant [PERIOD]
shiny [AND] crowded [IMPLY] vivacious [PERIOD]
good [AND] hilarious [AND] innocent [IMPLY] sincere [PERIOD]
shiny [AND] courageous [AND] outstanding [IMPLY] enchanting [PERIOD]
outstanding [AND] powerful [IMPLY] easy [PERIOD]
fearless [AND] innocent [IMPLY] crowded [PERIOD]
fearless [IMPLY] innocent [PERIOD]
unpleasant [IMPLY] powerful [PERIOD]
innocent [IMPLY] good [PERIOD]
good [AND] famous [AND] supportive [IMPLY] helpful [PERIOD]
hilarious [IMPLY] quaint [PERIOD]
vivacious [AND] good [IMPLY] distinct [PERIOD]
shy [AND] sincere [IMPLY] beautiful [PERIOD]
fearless [AND] enchanting [IMPLY] good [PERIOD]
good [AND] comfortable [IMPLY] quaint [PERIOD]
helpful [AND] shiny [IMPLY] easy [PERIOD]
supportive [IMPLY] shy [PERIOD]
helpful [IMPLY] crowded [PERIOD]
enchanting [AND] innocent [IMPLY] sincere [PERIOD]
supportive [AND] courageous [IMPLY] unpleasant [PERIOD]
enchanting [AND] courageous [AND] nervous [IMPLY] jittery [PERIOD]
innocent [AND] nervous [IMPLY] supportive [PERIOD]
distinct [AND] crowded [IMPLY] shiny [PERIOD]
worrisome [AND] supportive [IMPLY] attentive [PERIOD]
vivacious [AND] good [AND] helpful [IMPLY] hilarious [PERIOD]
supportive [AND] shy [AND] distinct [IMPLY] beautiful [PERIOD]
comfortable [AND] easy [IMPLY] enchanting [PERIOD]
easy [IMPLY] unpleasant [PERIOD]
enchanting [AND] powerful [AND] shy [IMPLY] famous [PERIOD]
fearless [AND] unpleasant [AND] quaint [IMPLY] distinct [PERIOD]
beautiful [AND] famous [AND] innocent [IMPLY] good [PERIOD]
unpleasant [AND] vivacious [AND] famous [IMPLY] innocent [PERIOD]
jittery [IMPLY] helpful [PERIOD]
jittery [AND] nervous [AND] courageous [IMPLY] vivacious [PERIOD]
innocent [IMPLY] jittery [PERIOD]
easy [AND] distinct [AND] crowded [IMPLY] supportive [PERIOD]
distinct [IMPLY] unpleasant [PERIOD]
innocent [AND] supportive [AND] beautiful [IMPLY] jittery [PERIOD]
powerful [AND] outstanding [AND] vivacious [IMPLY] distinct [PERIOD]
supportive [AND] outstanding [AND] quaint [IMPLY] helpful [PERIOD]
beautiful [IMPLY] distinct [PERIOD]
shy [IMPLY] innocent [PERIOD]
jittery [IMPLY] innocent [PERIOD]
shiny [IMPLY] powerful [PERIOD]
quaint [AND] helpful [IMPLY] comfortable [PERIOD]
distinct [AND] attentive [IMPLY] vivacious [PERIOD]
hilarious [IMPLY] crowded [PERIOD]
hilarious [AND] courageous [AND] enchanting [IMPLY] worrisome [PERIOD]
attentive [AND] nervous [IMPLY] quaint [PERIOD]
fearless [IMPLY] outstanding [PERIOD]
jittery [AND] fearless [AND] crowded [IMPLY] beautiful [PERIOD]
good [IMPLY] unpleasant [PERIOD]
courageous [AND] crowded [AND] innocent [IMPLY] worrisome [PERIOD]
fearless [IMPLY] distinct [PERIOD]
helpful [AND] sincere [IMPLY] famous [PERIOD]
powerful [AND] distinct [AND] comfortable [IMPLY] worrisome [PERIOD]
sincere [AND] hilarious [AND] helpful [IMPLY] fearless [PERIOD]
good [AND] innocent [AND] outstanding [IMPLY] supportive [PERIOD]
easy [AND] powerful [IMPLY] outstanding [PERIOD]
unpleasant [AND] worrisome [AND] outstanding [IMPLY] supportive [PERIOD]
outstanding [AND] fearless [IMPLY] unpleasant [PERIOD]
nervous [IMPLY] helpful [PERIOD]
helpful [IMPLY] fearless [PERIOD]
innocent [AND] powerful [AND] fearless [IMPLY] shy [PERIOD]
hilarious [AND] good [IMPLY] distinct [PERIOD]
quaint [IMPLY] courageous [PERIOD]
crowded [IMPLY] powerful [PERIOD]
fearless [AND] beautiful [AND] innocent [IMPLY] shiny [PERIOD]
fearless [AND] enchanting [AND] shy [IMPLY] innocent [PERIOD]
good [AND] helpful [IMPLY] enchanting [PERIOD]
easy [IMPLY] vivacious [PERIOD]
distinct [IMPLY] sincere [PERIOD]
quaint [IMPLY] attentive [PERIOD]
sincere [AND] good [AND] fearless [IMPLY] hilarious [PERIOD]
good [IMPLY] innocent [PERIOD]
hilarious [AND] vivacious [IMPLY] supportive [PERIOD]
quaint [AND] worrisome [AND] distinct [IMPLY] comfortable [PERIOD]
good [IMPLY] powerful [PERIOD]
distinct [AND] outstanding [IMPLY] enchanting [PERIOD]
good [AND] attentive [AND] shy [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] hilarious [PERIOD]
good [IMPLY] crowded [PERIOD]
Query: Alice is powerful [PERIOD]","Proof chain:
   jittery ⇒ helpful
   helpful ⇒ crowded
   crowded ⇒ powerful
",1,3
"Facts:  Alice is horrible [PERIOD] Alice is bright [PERIOD] Alice is loving [PERIOD] Alice is confused [PERIOD] Alice is fancy [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
pessimistic [IMPLY] grumpy [PERIOD]
troubled [AND] broad-minded [IMPLY] bad-tempered [PERIOD]
lonely [AND] famous [IMPLY] confused [PERIOD]
famous [AND] horrible [IMPLY] troubled [PERIOD]
pessimistic [AND] troubled [AND] lonely [IMPLY] bright [PERIOD]
famous [AND] precious [IMPLY] broad-minded [PERIOD]
troubled [AND] famous [AND] fancy [IMPLY] bright [PERIOD]
grumpy [AND] broad-minded [AND] pessimistic [IMPLY] confused [PERIOD]
fancy [IMPLY] famous [PERIOD]
famous [IMPLY] precious [PERIOD]
famous [IMPLY] thoughtless [PERIOD]
fancy [AND] grumpy [IMPLY] troubled [PERIOD]
precious [AND] pessimistic [AND] broad-minded [IMPLY] famous [PERIOD]
troubled [AND] loving [AND] pessimistic [IMPLY] broad-minded [PERIOD]
precious [IMPLY] bright [PERIOD]
bright [AND] horrible [AND] confused [IMPLY] fancy [PERIOD]
lonely [AND] troubled [IMPLY] grumpy [PERIOD]
broad-minded [AND] precious [AND] grumpy [IMPLY] pessimistic [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   fancy ⇒ famous
   fancy ⇒ famous
   famous ⇒ precious
   famous ∧ precious ⇒ broad-minded
   fancy ⇒ famous
   famous ⇒ precious
   Cannot apply rule “broad-minded ∧ precious ∧ grumpy ⇒ pessimistic” because missing: grumpy.
",0,7
"Facts:  Alice is talented [PERIOD] Alice is blushing [PERIOD] Alice is confused [PERIOD] Alice is jittery [PERIOD] Alice is tired [PERIOD] Alice is disgusted [PERIOD] Alice is stubborn [PERIOD] Alice is famous [PERIOD] Alice is frantic [PERIOD]
Rules:
innocent [IMPLY] victorious [PERIOD]
tired [AND] frantic [IMPLY] modern [PERIOD]
messy [IMPLY] bored [PERIOD]
serious [IMPLY] curious [PERIOD]
combative [AND] blushing [IMPLY] aggressive [PERIOD]
combative [IMPLY] tired [PERIOD]
tense [IMPLY] blushing [PERIOD]
stubborn [AND] confused [IMPLY] talkative [PERIOD]
hilarious [AND] talkative [IMPLY] curious [PERIOD]
aggressive [AND] talkative [AND] hilarious [IMPLY] bored [PERIOD]
serious [IMPLY] combative [PERIOD]
calm [IMPLY] bored [PERIOD]
dull [IMPLY] victorious [PERIOD]
innocent [AND] combative [IMPLY] scared [PERIOD]
beautiful [AND] talkative [IMPLY] sensible [PERIOD]
innocent [AND] combative [IMPLY] talented [PERIOD]
gorgeous [AND] disgusted [AND] calm [IMPLY] aggressive [PERIOD]
scared [AND] confused [IMPLY] hilarious [PERIOD]
victorious [AND] gorgeous [AND] calm [IMPLY] innocent [PERIOD]
calm [IMPLY] jittery [PERIOD]
stubborn [AND] blushing [IMPLY] tired [PERIOD]
tense [AND] gorgeous [IMPLY] bored [PERIOD]
talented [AND] calm [AND] hilarious [IMPLY] serious [PERIOD]
modern [IMPLY] hilarious [PERIOD]
hilarious [AND] lucky [AND] beautiful [IMPLY] stubborn [PERIOD]
confused [IMPLY] victorious [PERIOD]
talented [AND] aggressive [AND] disgusted [IMPLY] blushing [PERIOD]
victorious [IMPLY] disgusted [PERIOD]
hilarious [AND] confused [AND] innocent [IMPLY] victorious [PERIOD]
tired [AND] confused [AND] beautiful [IMPLY] jittery [PERIOD]
talkative [AND] stubborn [IMPLY] calm [PERIOD]
curious [IMPLY] jittery [PERIOD]
aggressive [AND] bored [AND] sensible [IMPLY] tense [PERIOD]
tired [AND] talkative [AND] victorious [IMPLY] disgusted [PERIOD]
lucky [AND] stubborn [IMPLY] scared [PERIOD]
beautiful [AND] calm [AND] combative [IMPLY] frantic [PERIOD]
messy [IMPLY] tense [PERIOD]
bored [IMPLY] stubborn [PERIOD]
famous [IMPLY] disgusted [PERIOD]
confused [AND] curious [AND] aggressive [IMPLY] serious [PERIOD]
serious [AND] lucky [AND] tired [IMPLY] gorgeous [PERIOD]
calm [IMPLY] innocent [PERIOD]
tired [AND] serious [AND] hilarious [IMPLY] curious [PERIOD]
messy [AND] scared [AND] disgusted [IMPLY] calm [PERIOD]
famous [AND] innocent [IMPLY] victorious [PERIOD]
blushing [AND] victorious [IMPLY] dull [PERIOD]
aggressive [AND] innocent [AND] bored [IMPLY] tired [PERIOD]
talkative [AND] tense [IMPLY] beautiful [PERIOD]
confused [AND] beautiful [IMPLY] sensible [PERIOD]
lucky [IMPLY] modern [PERIOD]
beautiful [AND] tired [IMPLY] talkative [PERIOD]
scared [AND] confused [IMPLY] blushing [PERIOD]
combative [AND] blushing [AND] sensible [IMPLY] talkative [PERIOD]
combative [IMPLY] beautiful [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   stubborn ∧ confused ⇒ talkative
   talkative ∧ stubborn ⇒ calm
   tired ∧ frantic ⇒ modern
   modern ⇒ hilarious
   talented ∧ calm ∧ hilarious ⇒ serious
   Cannot apply rule “serious ∧ lucky ∧ tired ⇒ gorgeous” because missing: lucky.
",0,6
"Facts: 
Rules:
tidy [AND] alert [IMPLY] gifted [PERIOD]
frail [IMPLY] intellectual [PERIOD]
gifted [IMPLY] wide-eyed [PERIOD]
charming [AND] tidy [IMPLY] intellectual [PERIOD]
exuberant [AND] charming [AND] frail [IMPLY] alert [PERIOD]
alert [AND] bad-tempered [AND] tidy [IMPLY] exuberant [PERIOD]
bad-tempered [AND] frail [IMPLY] gifted [PERIOD]
tidy [IMPLY] wide-eyed [PERIOD]
intellectual [AND] frail [IMPLY] charming [PERIOD]
gifted [AND] wide-eyed [IMPLY] tidy [PERIOD]
bad-tempered [AND] gifted [IMPLY] wide-eyed [PERIOD]
tidy [IMPLY] exuberant [PERIOD]
intellectual [IMPLY] exuberant [PERIOD]
exuberant [AND] gifted [IMPLY] alert [PERIOD]
exuberant [AND] frail [AND] bad-tempered [IMPLY] tidy [PERIOD]
alert [IMPLY] exuberant [PERIOD]
frail [AND] modern [AND] gifted [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] intellectual [AND] tidy [IMPLY] modern [PERIOD]
wide-eyed [AND] charming [IMPLY] bad-tempered [PERIOD]
tidy [AND] modern [AND] charming [IMPLY] exuberant [PERIOD]
bad-tempered [AND] modern [AND] intellectual [IMPLY] alert [PERIOD]
gifted [AND] intellectual [AND] charming [IMPLY] tidy [PERIOD]
alert [AND] frail [IMPLY] modern [PERIOD]
intellectual [AND] exuberant [AND] gifted [IMPLY] alert [PERIOD]
charming [IMPLY] bad-tempered [PERIOD]
charming [IMPLY] modern [PERIOD]
tidy [IMPLY] charming [PERIOD]
gifted [IMPLY] alert [PERIOD]
modern [AND] alert [AND] gifted [IMPLY] tidy [PERIOD]
frail [IMPLY] gifted [PERIOD]
tidy [AND] exuberant [IMPLY] gifted [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
   Cannot apply rule “alert ∧ bad-tempered ∧ tidy ⇒ exuberant” because missing: alert, bad-tempered, tidy.
   Cannot apply rule “tidy ⇒ exuberant” because missing: tidy.
   Cannot apply rule “intellectual ⇒ exuberant” because missing: intellectual.
   Cannot apply rule “alert ⇒ exuberant” because missing: alert.
   Cannot apply rule “tidy ∧ modern ∧ charming ⇒ exuberant” because missing: tidy, modern, charming.
",0,5
"Facts:  Alice is tired [PERIOD] Alice is clumsy [PERIOD] Alice is jittery [PERIOD] Alice is talented [PERIOD]
Rules:
intellectual [IMPLY] wrong [PERIOD]
loving [IMPLY] intellectual [PERIOD]
reserved [IMPLY] weary [PERIOD]
horrible [AND] sincere [IMPLY] wrong [PERIOD]
lonely [IMPLY] tired [PERIOD]
clumsy [AND] rude [IMPLY] charming [PERIOD]
wrong [AND] horrible [AND] weary [IMPLY] tidy [PERIOD]
talented [IMPLY] rude [PERIOD]
jittery [AND] tidy [AND] thoughtless [IMPLY] tired [PERIOD]
frightened [AND] weary [AND] mean [IMPLY] perfect [PERIOD]
mean [AND] stupid [IMPLY] reserved [PERIOD]
rude [AND] mysterious [AND] calm [IMPLY] jittery [PERIOD]
hypocritical [AND] sincere [IMPLY] beautiful [PERIOD]
intellectual [IMPLY] perfect [PERIOD]
intellectual [IMPLY] hilarious [PERIOD]
jittery [AND] perfect [IMPLY] thoughtless [PERIOD]
famous [IMPLY] intellectual [PERIOD]
hilarious [IMPLY] thoughtless [PERIOD]
frightened [AND] clumsy [AND] mean [IMPLY] stupid [PERIOD]
jittery [AND] mean [AND] hypocritical [IMPLY] horrible [PERIOD]
hilarious [AND] glamorous [IMPLY] reserved [PERIOD]
tidy [AND] beautiful [IMPLY] mean [PERIOD]
tired [AND] beautiful [IMPLY] jittery [PERIOD]
frightened [IMPLY] jittery [PERIOD]
lonely [AND] tired [IMPLY] beautiful [PERIOD]
tidy [AND] sincere [IMPLY] clumsy [PERIOD]
tidy [AND] quaint [IMPLY] charming [PERIOD]
charming [AND] rude [IMPLY] glamorous [PERIOD]
agreeable [IMPLY] thoughtless [PERIOD]
charming [AND] loving [AND] beautiful [IMPLY] talented [PERIOD]
wrong [IMPLY] clumsy [PERIOD]
clumsy [AND] frightened [IMPLY] thoughtless [PERIOD]
wrong [IMPLY] famous [PERIOD]
talented [AND] stupid [IMPLY] intellectual [PERIOD]
loving [AND] tidy [AND] mysterious [IMPLY] charming [PERIOD]
stupid [AND] talented [IMPLY] hilarious [PERIOD]
reserved [AND] calm [IMPLY] hilarious [PERIOD]
calm [AND] quaint [IMPLY] hilarious [PERIOD]
beautiful [IMPLY] frightened [PERIOD]
loving [AND] thoughtless [IMPLY] talented [PERIOD]
intellectual [AND] glamorous [AND] lonely [IMPLY] beautiful [PERIOD]
wrong [AND] horrible [IMPLY] charming [PERIOD]
lucky [AND] reserved [IMPLY] clumsy [PERIOD]
hilarious [AND] lucky [IMPLY] loving [PERIOD]
mysterious [AND] thoughtless [IMPLY] charming [PERIOD]
loving [IMPLY] famous [PERIOD]
agreeable [IMPLY] tired [PERIOD]
frightened [IMPLY] tidy [PERIOD]
loving [AND] mysterious [IMPLY] tidy [PERIOD]
weary [IMPLY] lonely [PERIOD]
lonely [AND] glamorous [IMPLY] quaint [PERIOD]
intellectual [AND] rude [IMPLY] hypocritical [PERIOD]
thoughtless [IMPLY] perfect [PERIOD]
intellectual [AND] jittery [AND] weary [IMPLY] hilarious [PERIOD]
tidy [IMPLY] stupid [PERIOD]
loving [AND] reserved [IMPLY] horrible [PERIOD]
lucky [IMPLY] wrong [PERIOD]
clumsy [AND] lonely [IMPLY] talented [PERIOD]
loving [AND] quaint [AND] jittery [IMPLY] talented [PERIOD]
horrible [AND] hypocritical [IMPLY] stupid [PERIOD]
rude [AND] agreeable [AND] clumsy [IMPLY] mysterious [PERIOD]
hypocritical [AND] beautiful [AND] famous [IMPLY] thoughtless [PERIOD]
stupid [AND] reserved [IMPLY] famous [PERIOD]
stupid [IMPLY] famous [PERIOD]
glamorous [AND] beautiful [AND] horrible [IMPLY] tired [PERIOD]
horrible [IMPLY] perfect [PERIOD]
mysterious [AND] mean [AND] lucky [IMPLY] thoughtless [PERIOD]
tired [AND] wrong [IMPLY] weary [PERIOD]
tired [AND] intellectual [IMPLY] clumsy [PERIOD]
jittery [AND] mean [AND] lucky [IMPLY] glamorous [PERIOD]
sincere [IMPLY] famous [PERIOD]
tidy [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] famous [PERIOD]
thoughtless [AND] weary [IMPLY] lucky [PERIOD]
intellectual [AND] jittery [AND] sincere [IMPLY] mysterious [PERIOD]
talented [AND] lucky [AND] thoughtless [IMPLY] stupid [PERIOD]
talented [AND] glamorous [IMPLY] quaint [PERIOD]
jittery [IMPLY] wrong [PERIOD]
lonely [AND] intellectual [IMPLY] horrible [PERIOD]
glamorous [AND] intellectual [AND] mean [IMPLY] talented [PERIOD]
quaint [AND] clumsy [AND] hypocritical [IMPLY] tired [PERIOD]
hilarious [AND] agreeable [IMPLY] quaint [PERIOD]
calm [IMPLY] perfect [PERIOD]
rude [AND] famous [AND] calm [IMPLY] tired [PERIOD]
horrible [AND] frightened [AND] clumsy [IMPLY] quaint [PERIOD]
reserved [AND] sincere [AND] jittery [IMPLY] famous [PERIOD]
rude [AND] reserved [AND] horrible [IMPLY] lonely [PERIOD]
wrong [IMPLY] reserved [PERIOD]
reserved [AND] agreeable [IMPLY] beautiful [PERIOD]
jittery [IMPLY] lucky [PERIOD]
mysterious [AND] clumsy [AND] frightened [IMPLY] loving [PERIOD]
famous [AND] frightened [AND] lucky [IMPLY] mean [PERIOD]
glamorous [IMPLY] jittery [PERIOD]
mysterious [AND] talented [AND] weary [IMPLY] lucky [PERIOD]
clumsy [AND] hypocritical [AND] reserved [IMPLY] calm [PERIOD]
rude [AND] frightened [IMPLY] perfect [PERIOD]
reserved [IMPLY] clumsy [PERIOD]
thoughtless [IMPLY] jittery [PERIOD]
hilarious [IMPLY] lonely [PERIOD]
charming [IMPLY] talented [PERIOD]
mean [AND] lucky [IMPLY] agreeable [PERIOD]
beautiful [IMPLY] wrong [PERIOD]
hypocritical [AND] wrong [IMPLY] beautiful [PERIOD]
sincere [AND] lonely [AND] frightened [IMPLY] tired [PERIOD]
loving [AND] clumsy [AND] tired [IMPLY] reserved [PERIOD]
glamorous [IMPLY] stupid [PERIOD]
tired [AND] lonely [IMPLY] agreeable [PERIOD]
talented [IMPLY] thoughtless [PERIOD]
mean [IMPLY] stupid [PERIOD]
glamorous [AND] hypocritical [IMPLY] horrible [PERIOD]
hilarious [IMPLY] jittery [PERIOD]
famous [IMPLY] mysterious [PERIOD]
intellectual [IMPLY] stupid [PERIOD]
clumsy [AND] perfect [AND] sincere [IMPLY] stupid [PERIOD]
hilarious [IMPLY] hypocritical [PERIOD]
rude [AND] mysterious [IMPLY] weary [PERIOD]
agreeable [IMPLY] charming [PERIOD]
clumsy [AND] rude [AND] hilarious [IMPLY] quaint [PERIOD]
lonely [IMPLY] jittery [PERIOD]
perfect [AND] mean [IMPLY] charming [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
   clumsy ⇒ famous
   famous ⇒ intellectual
   talented ⇒ rude
   intellectual ∧ rude ⇒ hypocritical
   jittery ⇒ wrong
   hypocritical ∧ wrong ⇒ beautiful
   beautiful ⇒ frightened
",1,7
"Facts:  Alice is modern [PERIOD] Alice is confident [PERIOD] Alice is wrong [PERIOD] Alice is ugliest [PERIOD] Alice is tidy [PERIOD] Alice is hypocritical [PERIOD] Alice is joyous [PERIOD] Alice is elated [PERIOD]
Rules:
modern [AND] wide-eyed [IMPLY] shy [PERIOD]
confident [AND] joyous [IMPLY] crowded [PERIOD]
wrong [AND] elated [IMPLY] curious [PERIOD]
strange [IMPLY] wide-eyed [PERIOD]
careless [AND] silly [IMPLY] broad-minded [PERIOD]
gorgeous [AND] broad-minded [AND] wrong [IMPLY] crowded [PERIOD]
intellectual [AND] confident [AND] average [IMPLY] modern [PERIOD]
intellectual [IMPLY] ugliest [PERIOD]
tidy [IMPLY] careless [PERIOD]
gorgeous [AND] strange [IMPLY] average [PERIOD]
anxious [AND] strange [IMPLY] cooperative [PERIOD]
excited [AND] intellectual [IMPLY] careless [PERIOD]
wide-eyed [AND] tidy [IMPLY] shy [PERIOD]
intellectual [AND] strange [IMPLY] broad-minded [PERIOD]
intellectual [AND] average [AND] excited [IMPLY] gorgeous [PERIOD]
adorable [AND] intellectual [IMPLY] cooperative [PERIOD]
shy [AND] careless [IMPLY] ugliest [PERIOD]
gorgeous [AND] average [IMPLY] curious [PERIOD]
cooperative [AND] anxious [AND] excited [IMPLY] strange [PERIOD]
cooperative [AND] silly [AND] gorgeous [IMPLY] intellectual [PERIOD]
broad-minded [AND] gorgeous [IMPLY] adorable [PERIOD]
shy [AND] silly [IMPLY] joyous [PERIOD]
wide-eyed [AND] strange [IMPLY] tidy [PERIOD]
careless [AND] confident [AND] ugliest [IMPLY] tidy [PERIOD]
careless [AND] strange [IMPLY] curious [PERIOD]
silly [AND] strange [AND] crowded [IMPLY] modern [PERIOD]
crowded [IMPLY] broad-minded [PERIOD]
elated [AND] wide-eyed [AND] strange [IMPLY] cooperative [PERIOD]
modern [IMPLY] strange [PERIOD]
average [AND] excited [IMPLY] wrong [PERIOD]
intellectual [AND] shy [IMPLY] average [PERIOD]
curious [IMPLY] average [PERIOD]
wide-eyed [AND] tidy [AND] confident [IMPLY] broad-minded [PERIOD]
careless [AND] ugliest [AND] shy [IMPLY] strange [PERIOD]
average [AND] strange [IMPLY] curious [PERIOD]
gorgeous [AND] hypocritical [IMPLY] modern [PERIOD]
tidy [IMPLY] hypocritical [PERIOD]
average [AND] adorable [IMPLY] elated [PERIOD]
strange [AND] broad-minded [AND] anxious [IMPLY] wide-eyed [PERIOD]
elated [AND] broad-minded [AND] gorgeous [IMPLY] adorable [PERIOD]
elated [AND] cooperative [IMPLY] confident [PERIOD]
wrong [AND] joyous [IMPLY] gorgeous [PERIOD]
silly [IMPLY] crowded [PERIOD]
wrong [AND] strange [IMPLY] cooperative [PERIOD]
ugliest [AND] anxious [IMPLY] silly [PERIOD]
tidy [AND] cooperative [IMPLY] elated [PERIOD]
elated [AND] average [IMPLY] shy [PERIOD]
careless [AND] curious [IMPLY] elated [PERIOD]
anxious [AND] silly [AND] broad-minded [IMPLY] crowded [PERIOD]
shy [AND] confident [IMPLY] cooperative [PERIOD]
hypocritical [IMPLY] excited [PERIOD]
ugliest [AND] intellectual [AND] wrong [IMPLY] crowded [PERIOD]
wide-eyed [AND] ugliest [AND] gorgeous [IMPLY] elated [PERIOD]
hypocritical [IMPLY] crowded [PERIOD]
cooperative [AND] crowded [AND] curious [IMPLY] gorgeous [PERIOD]
strange [AND] careless [IMPLY] hypocritical [PERIOD]
modern [AND] wide-eyed [IMPLY] anxious [PERIOD]
shy [IMPLY] curious [PERIOD]
wide-eyed [AND] ugliest [AND] adorable [IMPLY] confident [PERIOD]
average [IMPLY] curious [PERIOD]
confident [AND] tidy [AND] elated [IMPLY] wrong [PERIOD]
ugliest [AND] adorable [AND] joyous [IMPLY] curious [PERIOD]
modern [AND] cooperative [AND] broad-minded [IMPLY] curious [PERIOD]
cooperative [IMPLY] silly [PERIOD]
shy [AND] wrong [AND] wide-eyed [IMPLY] average [PERIOD]
tidy [AND] hypocritical [AND] ugliest [IMPLY] modern [PERIOD]
excited [AND] broad-minded [AND] joyous [IMPLY] adorable [PERIOD]
silly [AND] curious [AND] broad-minded [IMPLY] intellectual [PERIOD]
elated [AND] silly [AND] excited [IMPLY] ugliest [PERIOD]
broad-minded [IMPLY] average [PERIOD]
confident [AND] gorgeous [IMPLY] silly [PERIOD]
careless [IMPLY] hypocritical [PERIOD]
curious [AND] hypocritical [AND] careless [IMPLY] joyous [PERIOD]
broad-minded [AND] elated [AND] adorable [IMPLY] cooperative [PERIOD]
modern [IMPLY] cooperative [PERIOD]
elated [AND] strange [IMPLY] wide-eyed [PERIOD]
gorgeous [AND] intellectual [IMPLY] modern [PERIOD]
confident [IMPLY] curious [PERIOD]
gorgeous [AND] tidy [IMPLY] strange [PERIOD]
gorgeous [AND] joyous [AND] hypocritical [IMPLY] elated [PERIOD]
Query: Alice is adorable [PERIOD]","Proof chain:
   hypocritical ⇒ crowded
   crowded ⇒ broad-minded
   wrong ∧ joyous ⇒ gorgeous
   broad-minded ∧ gorgeous ⇒ adorable
",1,4
"Facts:  Alice is friendly [PERIOD] Alice is clean [PERIOD] Alice is fancy [PERIOD] Alice is troubled [PERIOD] Alice is aggressive [PERIOD] Alice is lonely [PERIOD] Alice is frightened [PERIOD] Alice is weary [PERIOD] Alice is clumsy [PERIOD]
Rules:
proud [AND] serious [AND] fancy [IMPLY] clean [PERIOD]
proud [AND] tender [IMPLY] thoughtless [PERIOD]
tender [AND] frightened [IMPLY] lonely [PERIOD]
difficult [IMPLY] frail [PERIOD]
mysterious [IMPLY] fearless [PERIOD]
worried [AND] troubled [IMPLY] difficult [PERIOD]
clean [IMPLY] proud [PERIOD]
aggressive [IMPLY] mysterious [PERIOD]
difficult [AND] friendly [IMPLY] charming [PERIOD]
difficult [AND] fancy [IMPLY] clumsy [PERIOD]
cruel [AND] long [IMPLY] easy [PERIOD]
proud [IMPLY] clean [PERIOD]
muddy [AND] worried [IMPLY] serious [PERIOD]
difficult [IMPLY] innocent [PERIOD]
friendly [IMPLY] weary [PERIOD]
easy [IMPLY] tender [PERIOD]
friendly [IMPLY] condemned [PERIOD]
fearless [IMPLY] condemned [PERIOD]
weary [AND] clean [AND] lonely [IMPLY] frightened [PERIOD]
frail [AND] long [IMPLY] different [PERIOD]
fancy [IMPLY] long [PERIOD]
clumsy [AND] frightened [IMPLY] aggressive [PERIOD]
clean [AND] different [IMPLY] easy [PERIOD]
thoughtless [AND] lonely [IMPLY] easy [PERIOD]
charming [IMPLY] proud [PERIOD]
serious [AND] aggressive [AND] cruel [IMPLY] muddy [PERIOD]
easy [AND] difficult [AND] innocent [IMPLY] worried [PERIOD]
different [IMPLY] fancy [PERIOD]
clean [IMPLY] condemned [PERIOD]
muddy [AND] lonely [IMPLY] aggressive [PERIOD]
tender [IMPLY] clumsy [PERIOD]
difficult [IMPLY] muddy [PERIOD]
frail [IMPLY] thoughtless [PERIOD]
friendly [AND] thoughtless [AND] troubled [IMPLY] fearless [PERIOD]
clumsy [IMPLY] troubled [PERIOD]
easy [AND] difficult [IMPLY] fearless [PERIOD]
tender [IMPLY] muddy [PERIOD]
innocent [AND] different [IMPLY] troubled [PERIOD]
clean [IMPLY] cruel [PERIOD]
easy [AND] friendly [IMPLY] weary [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   clean ⇒ cruel
   fancy ⇒ long
   cruel ∧ long ⇒ easy
   easy ⇒ tender
   tender ⇒ muddy
   Cannot apply rule “muddy ∧ worried ⇒ serious” because missing: worried.
",0,6
"Facts:  Alice is vivacious [PERIOD] Alice is innocent [PERIOD]
Rules:
glamorous [IMPLY] reserved [PERIOD]
ugliest [IMPLY] innocent [PERIOD]
worrisome [AND] old-fashioned [IMPLY] sleepy [PERIOD]
enchanting [IMPLY] glamorous [PERIOD]
bored [AND] glamorous [IMPLY] mysterious [PERIOD]
mysterious [AND] reserved [IMPLY] glamorous [PERIOD]
innocent [IMPLY] bored [PERIOD]
long [AND] enchanting [IMPLY] ugly [PERIOD]
glamorous [AND] worrisome [AND] grumpy [IMPLY] sensible [PERIOD]
reserved [AND] sleepy [IMPLY] long [PERIOD]
vivacious [AND] ugliest [IMPLY] worrisome [PERIOD]
long [IMPLY] ugly [PERIOD]
reserved [IMPLY] worrisome [PERIOD]
worried [IMPLY] worrisome [PERIOD]
mysterious [IMPLY] ugly [PERIOD]
ugliest [AND] innocent [IMPLY] glamorous [PERIOD]
mysterious [AND] friendly [IMPLY] ugly [PERIOD]
bad-tempered [IMPLY] innocent [PERIOD]
enchanting [IMPLY] bored [PERIOD]
sensible [AND] friendly [AND] enchanting [IMPLY] reserved [PERIOD]
sensible [AND] mysterious [IMPLY] old-fashioned [PERIOD]
enchanting [AND] sensible [IMPLY] bad-tempered [PERIOD]
grumpy [AND] ugly [IMPLY] reserved [PERIOD]
ugliest [AND] ugly [IMPLY] long [PERIOD]
friendly [IMPLY] bad-tempered [PERIOD]
glamorous [AND] worried [AND] friendly [IMPLY] vivacious [PERIOD]
glamorous [AND] enchanting [AND] worrisome [IMPLY] innocent [PERIOD]
ugly [AND] friendly [IMPLY] innocent [PERIOD]
sensible [IMPLY] sleepy [PERIOD]
friendly [AND] mysterious [IMPLY] bad-tempered [PERIOD]
worried [AND] mysterious [IMPLY] grumpy [PERIOD]
bored [AND] grumpy [IMPLY] worrisome [PERIOD]
bored [IMPLY] innocent [PERIOD]
mysterious [AND] worried [IMPLY] ugliest [PERIOD]
worrisome [AND] reserved [AND] innocent [IMPLY] ugly [PERIOD]
sleepy [AND] old-fashioned [IMPLY] bad-tempered [PERIOD]
sensible [AND] sleepy [AND] grumpy [IMPLY] bored [PERIOD]
worried [IMPLY] glamorous [PERIOD]
worried [AND] ugliest [AND] vivacious [IMPLY] worrisome [PERIOD]
sleepy [IMPLY] long [PERIOD]
bored [AND] reserved [AND] ugly [IMPLY] sleepy [PERIOD]
long [IMPLY] sleepy [PERIOD]
grumpy [AND] worried [IMPLY] worrisome [PERIOD]
grumpy [IMPLY] reserved [PERIOD]
ugly [IMPLY] worried [PERIOD]
friendly [AND] long [AND] bad-tempered [IMPLY] bored [PERIOD]
ugly [IMPLY] old-fashioned [PERIOD]
innocent [AND] grumpy [AND] old-fashioned [IMPLY] sensible [PERIOD]
glamorous [AND] mysterious [AND] worried [IMPLY] sensible [PERIOD]
worrisome [AND] old-fashioned [IMPLY] bored [PERIOD]
sensible [AND] reserved [IMPLY] ugliest [PERIOD]
mysterious [AND] sleepy [AND] vivacious [IMPLY] ugly [PERIOD]
mysterious [AND] grumpy [IMPLY] glamorous [PERIOD]
friendly [AND] worrisome [IMPLY] old-fashioned [PERIOD]
worried [AND] grumpy [AND] bored [IMPLY] enchanting [PERIOD]
sensible [AND] bored [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] bad-tempered [IMPLY] reserved [PERIOD]
worrisome [AND] ugly [AND] enchanting [IMPLY] bad-tempered [PERIOD]
innocent [AND] bad-tempered [AND] worrisome [IMPLY] glamorous [PERIOD]
bad-tempered [AND] grumpy [IMPLY] worried [PERIOD]
bad-tempered [AND] mysterious [AND] bored [IMPLY] ugly [PERIOD]
vivacious [IMPLY] long [PERIOD]
mysterious [IMPLY] sleepy [PERIOD]
old-fashioned [AND] reserved [AND] bad-tempered [IMPLY] friendly [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   innocent ⇒ bored
   vivacious ⇒ long
   long ⇒ ugly
   ugly ⇒ worried
   worried ⇒ glamorous
   bored ∧ glamorous ⇒ mysterious
",1,6
"Facts:  Alice is tense [PERIOD] Alice is ambitious [PERIOD] Alice is cruel [PERIOD] Alice is outstanding [PERIOD] Alice is disgusted [PERIOD] Alice is powerful [PERIOD] Alice is confident [PERIOD] Alice is confused [PERIOD] Alice is sincere [PERIOD]
Rules:
powerful [IMPLY] cute [PERIOD]
disgusted [AND] different [AND] ugly [IMPLY] cruel [PERIOD]
tame [AND] joyous [IMPLY] loving [PERIOD]
dishonest [IMPLY] confident [PERIOD]
powerful [AND] ugly [AND] tame [IMPLY] joyous [PERIOD]
tense [AND] messy [IMPLY] dishonest [PERIOD]
outstanding [IMPLY] loving [PERIOD]
ugly [AND] different [AND] agreeable [IMPLY] bad-tempered [PERIOD]
straightforward [IMPLY] sincere [PERIOD]
attractive [AND] tame [IMPLY] joyous [PERIOD]
loving [AND] frail [IMPLY] confused [PERIOD]
outstanding [AND] sincere [IMPLY] messy [PERIOD]
cute [AND] strange [AND] sincere [IMPLY] dishonest [PERIOD]
ugly [IMPLY] agreeable [PERIOD]
joyous [IMPLY] dishonest [PERIOD]
attractive [IMPLY] agreeable [PERIOD]
outstanding [AND] agreeable [AND] messy [IMPLY] dishonest [PERIOD]
straightforward [IMPLY] troubled [PERIOD]
agreeable [AND] cruel [AND] confident [IMPLY] stubborn [PERIOD]
good [IMPLY] disgusted [PERIOD]
cruel [AND] straightforward [AND] ugly [IMPLY] tame [PERIOD]
troubled [IMPLY] cute [PERIOD]
sincere [AND] joyous [IMPLY] confused [PERIOD]
ugly [AND] powerful [AND] ambitious [IMPLY] confident [PERIOD]
frantic [IMPLY] ambitious [PERIOD]
different [IMPLY] sincere [PERIOD]
straightforward [IMPLY] loving [PERIOD]
ugliest [AND] tame [AND] disgusted [IMPLY] good [PERIOD]
confused [AND] frail [AND] messy [IMPLY] sincere [PERIOD]
attractive [AND] bad-tempered [IMPLY] joyous [PERIOD]
frantic [AND] stubborn [IMPLY] outstanding [PERIOD]
frantic [AND] disgusted [AND] agreeable [IMPLY] confident [PERIOD]
frantic [IMPLY] horrible [PERIOD]
tense [AND] messy [IMPLY] loving [PERIOD]
tense [AND] sincere [AND] dishonest [IMPLY] confused [PERIOD]
strange [AND] loving [IMPLY] confused [PERIOD]
tame [IMPLY] ambitious [PERIOD]
loving [IMPLY] cruel [PERIOD]
ugly [AND] sincere [AND] attractive [IMPLY] straightforward [PERIOD]
cute [IMPLY] attractive [PERIOD]
attractive [IMPLY] powerful [PERIOD]
ugly [IMPLY] dishonest [PERIOD]
frail [AND] ambitious [IMPLY] agreeable [PERIOD]
attractive [AND] horrible [AND] straightforward [IMPLY] sincere [PERIOD]
confused [AND] strange [AND] agreeable [IMPLY] frantic [PERIOD]
ambitious [IMPLY] powerful [PERIOD]
ambitious [IMPLY] joyous [PERIOD]
ugly [IMPLY] disgusted [PERIOD]
straightforward [AND] strange [IMPLY] bad-tempered [PERIOD]
troubled [IMPLY] messy [PERIOD]
tame [IMPLY] cruel [PERIOD]
frail [IMPLY] outstanding [PERIOD]
outstanding [AND] stubborn [IMPLY] tame [PERIOD]
troubled [AND] powerful [IMPLY] messy [PERIOD]
sincere [AND] cruel [IMPLY] dishonest [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   powerful ⇒ cute
   cute ⇒ attractive
   attractive ⇒ agreeable
   agreeable ∧ cruel ∧ confident ⇒ stubborn
   outstanding ∧ stubborn ⇒ tame
",1,5
"Facts:  Alice is bored [PERIOD] Alice is diplomatic [PERIOD]
Rules:
gorgeous [IMPLY] exuberant [PERIOD]
bored [AND] crowded [IMPLY] old-fashioned [PERIOD]
crowded [AND] exuberant [IMPLY] bored [PERIOD]
sincere [AND] aggressive [IMPLY] innocent [PERIOD]
old-fashioned [IMPLY] crowded [PERIOD]
innocent [AND] gorgeous [IMPLY] old-fashioned [PERIOD]
exuberant [AND] old-fashioned [IMPLY] crowded [PERIOD]
gorgeous [AND] bored [AND] sincere [IMPLY] clean [PERIOD]
innocent [IMPLY] sincere [PERIOD]
clean [IMPLY] sincere [PERIOD]
bored [AND] shiny [IMPLY] innocent [PERIOD]
gorgeous [AND] innocent [AND] aggressive [IMPLY] old-fashioned [PERIOD]
gorgeous [IMPLY] sincere [PERIOD]
gorgeous [AND] aggressive [AND] sincere [IMPLY] shiny [PERIOD]
crowded [AND] diplomatic [IMPLY] shiny [PERIOD]
gorgeous [IMPLY] crowded [PERIOD]
bored [AND] old-fashioned [IMPLY] diplomatic [PERIOD]
shiny [IMPLY] sincere [PERIOD]
gorgeous [AND] exuberant [AND] clean [IMPLY] bored [PERIOD]
crowded [AND] diplomatic [AND] shiny [IMPLY] old-fashioned [PERIOD]
innocent [IMPLY] gorgeous [PERIOD]
gorgeous [AND] exuberant [AND] old-fashioned [IMPLY] aggressive [PERIOD]
diplomatic [IMPLY] exuberant [PERIOD]
bored [IMPLY] aggressive [PERIOD]
innocent [AND] gorgeous [IMPLY] bored [PERIOD]
diplomatic [AND] gorgeous [AND] aggressive [IMPLY] old-fashioned [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   Cannot apply rule “bored ∧ crowded ⇒ old-fashioned” because missing: crowded.
   Cannot apply rule “innocent ∧ gorgeous ⇒ old-fashioned” because missing: innocent, gorgeous.
   bored ⇒ aggressive
   Cannot apply rule “gorgeous ∧ innocent ∧ aggressive ⇒ old-fashioned” because missing: gorgeous, innocent.
   Cannot apply rule “crowded ∧ diplomatic ∧ shiny ⇒ old-fashioned” because missing: crowded, shiny.
   bored ⇒ aggressive
   Cannot apply rule “diplomatic ∧ gorgeous ∧ aggressive ⇒ old-fashioned” because missing: gorgeous.
",0,7
"Facts:  Alice is victorious [PERIOD] Alice is supportive [PERIOD] Alice is embarrassed [PERIOD]
Rules:
embarrassed [AND] fancy [AND] amused [IMPLY] glamorous [PERIOD]
fancy [AND] talkative [AND] grumpy [IMPLY] crowded [PERIOD]
gleaming [AND] helpful [IMPLY] cooperative [PERIOD]
glamorous [AND] gleaming [AND] fancy [IMPLY] curious [PERIOD]
grumpy [IMPLY] victorious [PERIOD]
embarrassed [AND] popular [IMPLY] talkative [PERIOD]
embarrassed [AND] glamorous [IMPLY] talkative [PERIOD]
victorious [AND] glamorous [AND] modern [IMPLY] popular [PERIOD]
curious [IMPLY] cooperative [PERIOD]
glamorous [AND] cooperative [IMPLY] helpful [PERIOD]
modern [IMPLY] glamorous [PERIOD]
embarrassed [AND] talkative [AND] glamorous [IMPLY] helpful [PERIOD]
supportive [AND] embarrassed [IMPLY] crowded [PERIOD]
helpful [AND] modern [AND] gleaming [IMPLY] embarrassed [PERIOD]
talkative [AND] helpful [IMPLY] gleaming [PERIOD]
fancy [IMPLY] glamorous [PERIOD]
amused [AND] glamorous [IMPLY] supportive [PERIOD]
talkative [AND] glamorous [IMPLY] crowded [PERIOD]
curious [IMPLY] crowded [PERIOD]
modern [AND] amused [AND] fancy [IMPLY] supportive [PERIOD]
helpful [AND] curious [AND] fancy [IMPLY] gleaming [PERIOD]
popular [AND] fancy [IMPLY] cooperative [PERIOD]
gleaming [AND] curious [IMPLY] embarrassed [PERIOD]
grumpy [AND] gleaming [AND] popular [IMPLY] supportive [PERIOD]
amused [AND] supportive [IMPLY] modern [PERIOD]
cooperative [IMPLY] gleaming [PERIOD]
crowded [IMPLY] supportive [PERIOD]
curious [IMPLY] talkative [PERIOD]
embarrassed [AND] grumpy [AND] gleaming [IMPLY] victorious [PERIOD]
glamorous [AND] fancy [IMPLY] victorious [PERIOD]
helpful [AND] modern [AND] cooperative [IMPLY] talkative [PERIOD]
gleaming [AND] embarrassed [IMPLY] glamorous [PERIOD]
embarrassed [AND] curious [IMPLY] grumpy [PERIOD]
helpful [AND] crowded [AND] supportive [IMPLY] talkative [PERIOD]
amused [AND] grumpy [AND] glamorous [IMPLY] gleaming [PERIOD]
victorious [AND] crowded [AND] gleaming [IMPLY] supportive [PERIOD]
amused [IMPLY] cooperative [PERIOD]
supportive [AND] glamorous [IMPLY] grumpy [PERIOD]
victorious [AND] fancy [IMPLY] curious [PERIOD]
victorious [AND] fancy [AND] glamorous [IMPLY] helpful [PERIOD]
victorious [AND] curious [IMPLY] supportive [PERIOD]
embarrassed [IMPLY] helpful [PERIOD]
amused [AND] curious [AND] popular [IMPLY] glamorous [PERIOD]
supportive [AND] grumpy [IMPLY] cooperative [PERIOD]
supportive [AND] fancy [AND] curious [IMPLY] popular [PERIOD]
embarrassed [AND] modern [AND] talkative [IMPLY] amused [PERIOD]
grumpy [AND] crowded [IMPLY] victorious [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   embarrassed ⇒ helpful
   supportive ∧ embarrassed ⇒ crowded
   helpful ∧ crowded ∧ supportive ⇒ talkative
   embarrassed ⇒ helpful
   talkative ∧ helpful ⇒ gleaming
   embarrassed ⇒ helpful
   gleaming ∧ helpful ⇒ cooperative
",1,7
"Facts:  Alice is different [PERIOD] Alice is hilarious [PERIOD] Alice is quaint [PERIOD] Alice is supportive [PERIOD] Alice is horrible [PERIOD] Alice is cute [PERIOD] Alice is troubled [PERIOD] Alice is wrong [PERIOD] Alice is elated [PERIOD] Alice is frantic [PERIOD] Alice is inexpensive [PERIOD] Alice is disgusted [PERIOD] Alice is frightened [PERIOD]
Rules:
frightened [AND] wrong [IMPLY] frantic [PERIOD]
horrible [AND] supportive [IMPLY] frantic [PERIOD]
cute [AND] wrong [AND] hilarious [IMPLY] elated [PERIOD]
troubled [AND] supportive [AND] wrong [IMPLY] frightened [PERIOD]
inexpensive [AND] supportive [AND] frantic [IMPLY] quaint [PERIOD]
different [AND] wrong [IMPLY] troubled [PERIOD]
supportive [AND] troubled [AND] frightened [IMPLY] horrible [PERIOD]
hilarious [AND] troubled [IMPLY] supportive [PERIOD]
quaint [AND] hilarious [AND] troubled [IMPLY] wrong [PERIOD]
hilarious [AND] supportive [IMPLY] troubled [PERIOD]
frantic [AND] troubled [IMPLY] inexpensive [PERIOD]
frightened [AND] cute [AND] disgusted [IMPLY] wrong [PERIOD]
frightened [AND] inexpensive [IMPLY] wrong [PERIOD]
inexpensive [AND] frightened [AND] frantic [IMPLY] elated [PERIOD]
inexpensive [AND] cute [AND] wrong [IMPLY] frightened [PERIOD]
elated [IMPLY] wrong [PERIOD]
troubled [AND] cute [AND] different [IMPLY] hilarious [PERIOD]
inexpensive [AND] horrible [AND] elated [IMPLY] cute [PERIOD]
hilarious [IMPLY] inexpensive [PERIOD]
cute [IMPLY] disgusted [PERIOD]
wrong [IMPLY] frightened [PERIOD]
elated [AND] hilarious [IMPLY] frantic [PERIOD]
different [AND] horrible [AND] wrong [IMPLY] frightened [PERIOD]
wrong [IMPLY] inexpensive [PERIOD]
frantic [IMPLY] inexpensive [PERIOD]
cute [AND] troubled [IMPLY] wrong [PERIOD]
supportive [AND] hilarious [AND] disgusted [IMPLY] quaint [PERIOD]
horrible [AND] wrong [AND] frantic [IMPLY] troubled [PERIOD]
different [IMPLY] wrong [PERIOD]
disgusted [AND] frightened [IMPLY] horrible [PERIOD]
hilarious [AND] cute [AND] frightened [IMPLY] wrong [PERIOD]
inexpensive [AND] cute [AND] elated [IMPLY] horrible [PERIOD]
troubled [IMPLY] elated [PERIOD]
troubled [IMPLY] quaint [PERIOD]
frightened [AND] cute [IMPLY] troubled [PERIOD]
elated [IMPLY] inexpensive [PERIOD]
quaint [IMPLY] wrong [PERIOD]
frightened [AND] frantic [IMPLY] horrible [PERIOD]
supportive [AND] wrong [AND] troubled [IMPLY] horrible [PERIOD]
supportive [AND] frantic [IMPLY] troubled [PERIOD]
wrong [AND] elated [IMPLY] cute [PERIOD]
wrong [AND] inexpensive [IMPLY] frantic [PERIOD]
quaint [IMPLY] hilarious [PERIOD]
inexpensive [IMPLY] wrong [PERIOD]
inexpensive [AND] horrible [AND] frightened [IMPLY] wrong [PERIOD]
inexpensive [AND] frightened [AND] frantic [IMPLY] cute [PERIOD]
frightened [AND] cute [IMPLY] supportive [PERIOD]
cute [AND] horrible [AND] supportive [IMPLY] hilarious [PERIOD]
cute [IMPLY] troubled [PERIOD]
hilarious [AND] frantic [IMPLY] inexpensive [PERIOD]
disgusted [AND] frantic [IMPLY] elated [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is spotless [PERIOD] Alice is shiny [PERIOD] Alice is cooperative [PERIOD]
Rules:
sincere [AND] pleasant [AND] calm [IMPLY] spotless [PERIOD]
scared [AND] lonely [IMPLY] sleepy [PERIOD]
calm [IMPLY] stormy [PERIOD]
sleepy [AND] mysterious [IMPLY] inexpensive [PERIOD]
sleepy [AND] lonely [IMPLY] cruel [PERIOD]
troubled [AND] cruel [IMPLY] curious [PERIOD]
scared [AND] stormy [IMPLY] curious [PERIOD]
sincere [AND] calm [IMPLY] troubled [PERIOD]
shiny [IMPLY] cooperative [PERIOD]
calm [AND] scared [AND] spotless [IMPLY] easy [PERIOD]
worrisome [AND] pleasant [AND] mysterious [IMPLY] sincere [PERIOD]
stormy [IMPLY] shiny [PERIOD]
easy [AND] pleasant [AND] troubled [IMPLY] calm [PERIOD]
spotless [AND] calm [AND] troubled [IMPLY] cooperative [PERIOD]
sleepy [AND] cruel [AND] curious [IMPLY] frightened [PERIOD]
spotless [IMPLY] mysterious [PERIOD]
cruel [AND] curious [AND] spotless [IMPLY] troubled [PERIOD]
sincere [IMPLY] worrisome [PERIOD]
mysterious [AND] frightened [AND] calm [IMPLY] spotless [PERIOD]
frightened [AND] stormy [IMPLY] curious [PERIOD]
scared [AND] spotless [IMPLY] stormy [PERIOD]
inexpensive [AND] curious [IMPLY] lonely [PERIOD]
calm [AND] sincere [IMPLY] pleasant [PERIOD]
sincere [AND] cooperative [AND] shiny [IMPLY] frightened [PERIOD]
curious [IMPLY] inexpensive [PERIOD]
pleasant [AND] shiny [IMPLY] spotless [PERIOD]
lonely [AND] inexpensive [AND] sleepy [IMPLY] curious [PERIOD]
shiny [IMPLY] stormy [PERIOD]
calm [IMPLY] spotless [PERIOD]
curious [IMPLY] easy [PERIOD]
troubled [AND] frightened [IMPLY] inexpensive [PERIOD]
frightened [IMPLY] pleasant [PERIOD]
cooperative [IMPLY] stormy [PERIOD]
calm [AND] mysterious [AND] sincere [IMPLY] spotless [PERIOD]
easy [AND] stormy [IMPLY] troubled [PERIOD]
shiny [AND] cruel [AND] mysterious [IMPLY] worrisome [PERIOD]
stormy [IMPLY] lonely [PERIOD]
cruel [AND] calm [IMPLY] lonely [PERIOD]
worrisome [AND] lonely [AND] stormy [IMPLY] cruel [PERIOD]
sleepy [IMPLY] mysterious [PERIOD]
sleepy [AND] scared [AND] frightened [IMPLY] cruel [PERIOD]
troubled [AND] spotless [IMPLY] scared [PERIOD]
inexpensive [AND] easy [IMPLY] cooperative [PERIOD]
scared [AND] stormy [AND] cruel [IMPLY] cooperative [PERIOD]
lonely [AND] calm [AND] cooperative [IMPLY] shiny [PERIOD]
mysterious [IMPLY] curious [PERIOD]
cruel [AND] shiny [IMPLY] mysterious [PERIOD]
pleasant [AND] cooperative [AND] easy [IMPLY] sincere [PERIOD]
lonely [AND] mysterious [AND] inexpensive [IMPLY] spotless [PERIOD]
lonely [IMPLY] frightened [PERIOD]
cooperative [AND] curious [IMPLY] stormy [PERIOD]
stormy [IMPLY] troubled [PERIOD]
shiny [AND] cooperative [IMPLY] curious [PERIOD]
lonely [AND] curious [IMPLY] mysterious [PERIOD]
calm [IMPLY] troubled [PERIOD]
easy [IMPLY] frightened [PERIOD]
sincere [IMPLY] frightened [PERIOD]
pleasant [IMPLY] troubled [PERIOD]
stormy [AND] spotless [IMPLY] pleasant [PERIOD]
cruel [AND] frightened [AND] sleepy [IMPLY] lonely [PERIOD]
troubled [AND] easy [IMPLY] calm [PERIOD]
scared [AND] easy [IMPLY] spotless [PERIOD]
lonely [IMPLY] cooperative [PERIOD]
scared [AND] pleasant [AND] cooperative [IMPLY] troubled [PERIOD]
shiny [AND] sincere [IMPLY] spotless [PERIOD]
pleasant [IMPLY] spotless [PERIOD]
easy [IMPLY] mysterious [PERIOD]
curious [AND] easy [AND] sleepy [IMPLY] cooperative [PERIOD]
sleepy [IMPLY] worrisome [PERIOD]
cruel [AND] lonely [IMPLY] troubled [PERIOD]
sleepy [AND] scared [IMPLY] calm [PERIOD]
pleasant [IMPLY] calm [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   cooperative ⇒ stormy
   stormy ⇒ troubled
   troubled ∧ spotless ⇒ scared
   cooperative ⇒ stormy
   stormy ⇒ lonely
   scared ∧ lonely ⇒ sleepy
",1,6
"Facts:  Alice is straightforward [PERIOD] Alice is aggressive [PERIOD] Alice is blushing [PERIOD] Alice is cruel [PERIOD] Alice is confused [PERIOD] Alice is selfish [PERIOD]
Rules:
straightforward [AND] tender [IMPLY] confused [PERIOD]
outstanding [AND] fine [IMPLY] selfish [PERIOD]
impartial [AND] confused [IMPLY] blushing [PERIOD]
straightforward [AND] long [IMPLY] nervous [PERIOD]
cruel [IMPLY] outstanding [PERIOD]
pessimistic [IMPLY] blushing [PERIOD]
aggressive [AND] impartial [AND] confused [IMPLY] enchanting [PERIOD]
blushing [AND] selfish [AND] nervous [IMPLY] impartial [PERIOD]
selfish [IMPLY] talented [PERIOD]
outstanding [AND] fine [IMPLY] straightforward [PERIOD]
foolish [IMPLY] confused [PERIOD]
long [AND] impartial [AND] aggressive [IMPLY] outstanding [PERIOD]
pessimistic [AND] outstanding [AND] talented [IMPLY] tender [PERIOD]
long [IMPLY] pessimistic [PERIOD]
talented [AND] nervous [AND] outstanding [IMPLY] long [PERIOD]
outstanding [AND] selfish [IMPLY] cruel [PERIOD]
talented [AND] cruel [IMPLY] long [PERIOD]
cruel [AND] fine [IMPLY] aggressive [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   selfish ⇒ talented
   talented ∧ cruel ⇒ long
   straightforward ∧ long ⇒ nervous
   blushing ∧ selfish ∧ nervous ⇒ impartial
",1,4
"Facts:  Alice is uptight [PERIOD] Alice is mysterious [PERIOD]
Rules:
zealous [AND] mysterious [AND] calm [IMPLY] troubled [PERIOD]
clean [AND] uptight [IMPLY] mysterious [PERIOD]
zealous [AND] uptight [IMPLY] clean [PERIOD]
mysterious [IMPLY] uptight [PERIOD]
worrisome [IMPLY] mysterious [PERIOD]
sincere [AND] zealous [AND] troubled [IMPLY] uptight [PERIOD]
sincere [AND] clean [AND] worrisome [IMPLY] troubled [PERIOD]
uptight [IMPLY] calm [PERIOD]
sincere [AND] mysterious [AND] clean [IMPLY] calm [PERIOD]
mysterious [AND] clean [IMPLY] worrisome [PERIOD]
sincere [IMPLY] calm [PERIOD]
clean [AND] sincere [AND] zealous [IMPLY] worrisome [PERIOD]
uptight [AND] sincere [AND] zealous [IMPLY] mysterious [PERIOD]
troubled [AND] zealous [AND] worrisome [IMPLY] sincere [PERIOD]
mysterious [IMPLY] calm [PERIOD]
troubled [IMPLY] worrisome [PERIOD]
troubled [AND] calm [IMPLY] worrisome [PERIOD]
clean [AND] calm [IMPLY] troubled [PERIOD]
clean [AND] sincere [IMPLY] worrisome [PERIOD]
sincere [AND] uptight [AND] mysterious [IMPLY] zealous [PERIOD]
troubled [AND] clean [IMPLY] zealous [PERIOD]
worrisome [AND] troubled [AND] sincere [IMPLY] mysterious [PERIOD]
uptight [AND] worrisome [IMPLY] mysterious [PERIOD]
zealous [AND] sincere [AND] worrisome [IMPLY] clean [PERIOD]
calm [AND] zealous [IMPLY] worrisome [PERIOD]
troubled [IMPLY] calm [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   mysterious ⇒ calm
   Cannot apply rule “zealous ∧ mysterious ∧ calm ⇒ troubled” because missing: zealous.
   Cannot apply rule “sincere ∧ clean ∧ worrisome ⇒ troubled” because missing: sincere, clean, worrisome.
   mysterious ⇒ calm
   Cannot apply rule “clean ∧ calm ⇒ troubled” because missing: clean.
",0,5
"Facts:  Alice is frail [PERIOD] Alice is average [PERIOD]
Rules:
bossy [IMPLY] fancy [PERIOD]
troubled [AND] fancy [AND] perfect [IMPLY] outstanding [PERIOD]
fragile [IMPLY] light [PERIOD]
fragile [AND] adorable [AND] light [IMPLY] frail [PERIOD]
fragile [AND] innocent [AND] perfect [IMPLY] confused [PERIOD]
scared [AND] alert [IMPLY] charming [PERIOD]
fancy [AND] elegant [IMPLY] alert [PERIOD]
ugly [AND] alert [IMPLY] fancy [PERIOD]
innocent [AND] scared [AND] light [IMPLY] sincere [PERIOD]
scared [AND] talkative [AND] adorable [IMPLY] sincere [PERIOD]
fragile [IMPLY] average [PERIOD]
frail [AND] elegant [IMPLY] perfect [PERIOD]
talkative [IMPLY] calm [PERIOD]
fancy [AND] charming [AND] bossy [IMPLY] calm [PERIOD]
fragile [AND] adorable [AND] frail [IMPLY] fancy [PERIOD]
scared [IMPLY] adorable [PERIOD]
light [AND] average [IMPLY] scared [PERIOD]
bossy [IMPLY] outstanding [PERIOD]
innocent [AND] charming [IMPLY] bossy [PERIOD]
famous [AND] charming [IMPLY] troubled [PERIOD]
frail [AND] fancy [IMPLY] calm [PERIOD]
elegant [AND] average [IMPLY] innocent [PERIOD]
adorable [IMPLY] light [PERIOD]
confused [AND] perfect [AND] scared [IMPLY] outstanding [PERIOD]
troubled [IMPLY] frail [PERIOD]
fancy [AND] confused [IMPLY] innocent [PERIOD]
outstanding [IMPLY] adorable [PERIOD]
ugly [AND] confused [IMPLY] famous [PERIOD]
perfect [IMPLY] outstanding [PERIOD]
talkative [AND] calm [AND] troubled [IMPLY] fragile [PERIOD]
outstanding [AND] average [IMPLY] sincere [PERIOD]
perfect [AND] troubled [AND] innocent [IMPLY] calm [PERIOD]
average [AND] charming [AND] adorable [IMPLY] light [PERIOD]
charming [AND] scared [IMPLY] confused [PERIOD]
troubled [AND] sincere [AND] fragile [IMPLY] light [PERIOD]
fragile [IMPLY] outstanding [PERIOD]
alert [IMPLY] ugly [PERIOD]
alert [IMPLY] confused [PERIOD]
frail [AND] sincere [IMPLY] charming [PERIOD]
elegant [AND] sincere [IMPLY] confused [PERIOD]
elegant [AND] adorable [IMPLY] charming [PERIOD]
sincere [AND] scared [AND] talkative [IMPLY] troubled [PERIOD]
elegant [AND] alert [IMPLY] bossy [PERIOD]
frail [AND] confused [IMPLY] charming [PERIOD]
confused [AND] bossy [AND] innocent [IMPLY] ugly [PERIOD]
talkative [AND] charming [AND] fancy [IMPLY] frail [PERIOD]
frail [AND] scared [IMPLY] outstanding [PERIOD]
calm [AND] confused [AND] average [IMPLY] famous [PERIOD]
fancy [AND] alert [AND] talkative [IMPLY] confused [PERIOD]
scared [AND] sincere [IMPLY] troubled [PERIOD]
average [IMPLY] frail [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   Cannot apply rule “bossy ⇒ fancy” because missing: bossy.
   Cannot apply rule “ugly ∧ alert ⇒ fancy” because missing: ugly, alert.
   Cannot apply rule “fragile ∧ adorable ∧ frail ⇒ fancy” because missing: fragile, adorable.
",0,3
"Facts:  Alice is uptight [PERIOD] Alice is pleasant [PERIOD] Alice is blushing [PERIOD] Alice is clean [PERIOD] Alice is wide-eyed [PERIOD] Alice is agreeable [PERIOD] Alice is bad-tempered [PERIOD] Alice is fragile [PERIOD] Alice is bossy [PERIOD] Alice is naughty [PERIOD] Alice is good [PERIOD] Alice is long [PERIOD] Alice is helpless [PERIOD] Alice is proud [PERIOD] Alice is foolish [PERIOD] Alice is frantic [PERIOD]
Rules:
bad-tempered [IMPLY] bossy [PERIOD]
good [AND] agreeable [AND] bad-tempered [IMPLY] clean [PERIOD]
pleasant [IMPLY] blushing [PERIOD]
naughty [IMPLY] uptight [PERIOD]
clean [AND] uptight [AND] proud [IMPLY] bad-tempered [PERIOD]
witty [AND] helpless [AND] frantic [IMPLY] agreeable [PERIOD]
wide-eyed [AND] good [AND] bossy [IMPLY] foolish [PERIOD]
blushing [AND] witty [IMPLY] bad-tempered [PERIOD]
proud [AND] helpless [AND] clean [IMPLY] agreeable [PERIOD]
helpless [AND] uptight [IMPLY] bad-tempered [PERIOD]
naughty [AND] helpless [AND] bossy [IMPLY] agreeable [PERIOD]
naughty [AND] pleasant [AND] long [IMPLY] foolish [PERIOD]
helpless [AND] pleasant [IMPLY] bad-tempered [PERIOD]
good [AND] pleasant [AND] agreeable [IMPLY] clean [PERIOD]
foolish [AND] wide-eyed [IMPLY] uptight [PERIOD]
witty [AND] uptight [AND] foolish [IMPLY] bossy [PERIOD]
helpless [AND] agreeable [IMPLY] clean [PERIOD]
bad-tempered [AND] proud [AND] foolish [IMPLY] uptight [PERIOD]
foolish [IMPLY] uptight [PERIOD]
wide-eyed [IMPLY] agreeable [PERIOD]
proud [IMPLY] frantic [PERIOD]
bossy [AND] naughty [AND] helpless [IMPLY] good [PERIOD]
frantic [AND] pleasant [AND] wide-eyed [IMPLY] good [PERIOD]
proud [AND] helpless [AND] pleasant [IMPLY] wide-eyed [PERIOD]
good [AND] frantic [AND] pleasant [IMPLY] proud [PERIOD]
good [AND] proud [IMPLY] witty [PERIOD]
naughty [AND] foolish [AND] helpless [IMPLY] blushing [PERIOD]
clean [IMPLY] long [PERIOD]
bossy [AND] blushing [AND] naughty [IMPLY] foolish [PERIOD]
foolish [AND] proud [IMPLY] pleasant [PERIOD]
pleasant [AND] clean [IMPLY] witty [PERIOD]
wide-eyed [IMPLY] bossy [PERIOD]
clean [AND] bossy [IMPLY] good [PERIOD]
long [AND] proud [IMPLY] uptight [PERIOD]
pleasant [IMPLY] clean [PERIOD]
clean [AND] good [IMPLY] bossy [PERIOD]
uptight [AND] proud [AND] wide-eyed [IMPLY] foolish [PERIOD]
blushing [IMPLY] good [PERIOD]
fragile [AND] wide-eyed [AND] naughty [IMPLY] frantic [PERIOD]
foolish [IMPLY] fragile [PERIOD]
clean [AND] witty [IMPLY] frantic [PERIOD]
proud [AND] blushing [AND] naughty [IMPLY] clean [PERIOD]
agreeable [IMPLY] naughty [PERIOD]
naughty [AND] wide-eyed [IMPLY] fragile [PERIOD]
witty [AND] frantic [AND] naughty [IMPLY] clean [PERIOD]
proud [AND] fragile [IMPLY] good [PERIOD]
blushing [IMPLY] helpless [PERIOD]
wide-eyed [AND] foolish [IMPLY] bad-tempered [PERIOD]
bossy [IMPLY] frantic [PERIOD]
blushing [AND] good [IMPLY] naughty [PERIOD]
uptight [IMPLY] proud [PERIOD]
pleasant [IMPLY] bossy [PERIOD]
pleasant [AND] uptight [AND] fragile [IMPLY] agreeable [PERIOD]
clean [AND] bad-tempered [IMPLY] witty [PERIOD]
blushing [IMPLY] fragile [PERIOD]
blushing [IMPLY] pleasant [PERIOD]
helpless [AND] proud [IMPLY] naughty [PERIOD]
proud [IMPLY] wide-eyed [PERIOD]
pleasant [AND] proud [IMPLY] witty [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   clean ∧ bad-tempered ⇒ witty
",1,1
"Facts:  Alice is wrong [PERIOD] Alice is supportive [PERIOD]
Rules:
popular [IMPLY] charming [PERIOD]
inquisitive [AND] wrong [IMPLY] uptight [PERIOD]
uptight [AND] wrong [IMPLY] elated [PERIOD]
innocent [AND] inquisitive [AND] curious [IMPLY] impatient [PERIOD]
curious [AND] cruel [AND] stubborn [IMPLY] innocent [PERIOD]
courageous [AND] supportive [IMPLY] stubborn [PERIOD]
wrong [AND] stubborn [AND] impatient [IMPLY] charming [PERIOD]
clumsy [AND] wrong [AND] cruel [IMPLY] impatient [PERIOD]
curious [IMPLY] clumsy [PERIOD]
impatient [AND] dull [AND] clumsy [IMPLY] innocent [PERIOD]
combative [AND] impatient [AND] ugly [IMPLY] supportive [PERIOD]
elated [AND] charming [IMPLY] inquisitive [PERIOD]
courageous [AND] charming [AND] wrong [IMPLY] curious [PERIOD]
zealous [AND] supportive [AND] precious [IMPLY] dull [PERIOD]
inquisitive [AND] ugly [IMPLY] supportive [PERIOD]
supportive [IMPLY] impatient [PERIOD]
supportive [AND] uptight [AND] elated [IMPLY] wrong [PERIOD]
clumsy [AND] impatient [IMPLY] stubborn [PERIOD]
wrong [AND] ugly [IMPLY] charming [PERIOD]
ugly [AND] impatient [IMPLY] uptight [PERIOD]
combative [IMPLY] stubborn [PERIOD]
stubborn [AND] clumsy [AND] charming [IMPLY] cruel [PERIOD]
dull [AND] stubborn [IMPLY] inquisitive [PERIOD]
innocent [AND] curious [IMPLY] elated [PERIOD]
precious [AND] supportive [IMPLY] elated [PERIOD]
uptight [AND] dull [IMPLY] stubborn [PERIOD]
precious [IMPLY] ugly [PERIOD]
cruel [IMPLY] supportive [PERIOD]
dull [AND] supportive [IMPLY] impatient [PERIOD]
combative [AND] charming [AND] inquisitive [IMPLY] elated [PERIOD]
wrong [AND] inquisitive [IMPLY] impatient [PERIOD]
curious [IMPLY] dull [PERIOD]
cruel [AND] popular [AND] zealous [IMPLY] charming [PERIOD]
ugly [IMPLY] elated [PERIOD]
zealous [AND] uptight [AND] combative [IMPLY] precious [PERIOD]
charming [AND] precious [AND] courageous [IMPLY] curious [PERIOD]
precious [AND] zealous [IMPLY] elated [PERIOD]
zealous [AND] innocent [IMPLY] popular [PERIOD]
combative [AND] supportive [IMPLY] impatient [PERIOD]
wrong [AND] uptight [IMPLY] precious [PERIOD]
dull [IMPLY] combative [PERIOD]
stubborn [IMPLY] popular [PERIOD]
courageous [AND] ugly [IMPLY] inquisitive [PERIOD]
inquisitive [AND] dull [AND] courageous [IMPLY] stubborn [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   Cannot apply rule “courageous ∧ supportive ⇒ stubborn” because missing: courageous.
   supportive ⇒ impatient
   Cannot apply rule “clumsy ∧ impatient ⇒ stubborn” because missing: clumsy.
   Cannot apply rule “combative ⇒ stubborn” because missing: combative.
   Cannot apply rule “uptight ∧ dull ⇒ stubborn” because missing: uptight, dull.
   Cannot apply rule “inquisitive ∧ dull ∧ courageous ⇒ stubborn” because missing: inquisitive, dull, courageous.
",0,6
"Facts:  Alice is stupid [PERIOD] Alice is comfortable [PERIOD] Alice is bad-tempered [PERIOD] Alice is rational [PERIOD]
Rules:
wandering [AND] rational [AND] tender [IMPLY] crowded [PERIOD]
famous [AND] scared [IMPLY] quaint [PERIOD]
attentive [AND] tender [AND] outstanding [IMPLY] comfortable [PERIOD]
stupid [AND] tender [AND] enchanting [IMPLY] confident [PERIOD]
careless [AND] scared [IMPLY] wandering [PERIOD]
sensible [AND] bad-tempered [IMPLY] clean [PERIOD]
precious [AND] bored [AND] aggressive [IMPLY] sensible [PERIOD]
frantic [AND] scared [IMPLY] tender [PERIOD]
stupid [IMPLY] precious [PERIOD]
sensible [AND] frantic [AND] lucky [IMPLY] difficult [PERIOD]
strange [IMPLY] careless [PERIOD]
scared [AND] bored [AND] famous [IMPLY] crowded [PERIOD]
tender [AND] comfortable [IMPLY] bored [PERIOD]
stupid [IMPLY] confident [PERIOD]
wandering [AND] attentive [AND] quaint [IMPLY] frantic [PERIOD]
fragile [AND] precious [AND] tender [IMPLY] wandering [PERIOD]
crowded [AND] sensible [IMPLY] tender [PERIOD]
quaint [IMPLY] attentive [PERIOD]
wandering [IMPLY] aggressive [PERIOD]
scared [AND] quaint [AND] enchanting [IMPLY] difficult [PERIOD]
aggressive [AND] scared [AND] attentive [IMPLY] quaint [PERIOD]
quaint [AND] wandering [IMPLY] outstanding [PERIOD]
quaint [AND] bad-tempered [AND] famous [IMPLY] enchanting [PERIOD]
quaint [IMPLY] fragile [PERIOD]
enchanting [AND] comfortable [IMPLY] frantic [PERIOD]
rational [AND] famous [AND] lucky [IMPLY] careless [PERIOD]
tender [AND] confident [IMPLY] difficult [PERIOD]
clean [AND] bad-tempered [AND] strange [IMPLY] confident [PERIOD]
comfortable [IMPLY] wandering [PERIOD]
frantic [IMPLY] famous [PERIOD]
strange [AND] fragile [IMPLY] sensible [PERIOD]
difficult [AND] outstanding [IMPLY] serious [PERIOD]
scared [IMPLY] clean [PERIOD]
strange [IMPLY] lucky [PERIOD]
strange [AND] enchanting [IMPLY] scared [PERIOD]
tender [AND] wandering [IMPLY] rational [PERIOD]
quaint [AND] enchanting [AND] scared [IMPLY] famous [PERIOD]
aggressive [IMPLY] wandering [PERIOD]
serious [AND] fragile [AND] attentive [IMPLY] famous [PERIOD]
difficult [AND] rational [AND] enchanting [IMPLY] strange [PERIOD]
frantic [IMPLY] comfortable [PERIOD]
confident [IMPLY] strange [PERIOD]
sensible [AND] quaint [AND] bad-tempered [IMPLY] outstanding [PERIOD]
tender [IMPLY] lucky [PERIOD]
sensible [IMPLY] outstanding [PERIOD]
clean [AND] scared [AND] bad-tempered [IMPLY] enchanting [PERIOD]
comfortable [AND] sensible [AND] frantic [IMPLY] bored [PERIOD]
bored [AND] tender [IMPLY] serious [PERIOD]
attentive [IMPLY] quaint [PERIOD]
clean [IMPLY] strange [PERIOD]
tender [AND] bad-tempered [IMPLY] quaint [PERIOD]
enchanting [IMPLY] outstanding [PERIOD]
bored [AND] lucky [AND] wandering [IMPLY] famous [PERIOD]
scared [IMPLY] bored [PERIOD]
tender [IMPLY] comfortable [PERIOD]
sensible [AND] serious [AND] strange [IMPLY] outstanding [PERIOD]
crowded [IMPLY] bored [PERIOD]
bored [AND] crowded [AND] outstanding [IMPLY] careless [PERIOD]
clean [AND] stupid [IMPLY] confident [PERIOD]
rational [AND] quaint [AND] stupid [IMPLY] difficult [PERIOD]
famous [IMPLY] aggressive [PERIOD]
stupid [AND] bored [AND] enchanting [IMPLY] outstanding [PERIOD]
crowded [AND] strange [AND] outstanding [IMPLY] difficult [PERIOD]
strange [IMPLY] sensible [PERIOD]
precious [AND] lucky [AND] quaint [IMPLY] serious [PERIOD]
enchanting [IMPLY] crowded [PERIOD]
fragile [IMPLY] clean [PERIOD]
aggressive [AND] lucky [IMPLY] comfortable [PERIOD]
precious [IMPLY] outstanding [PERIOD]
comfortable [AND] rational [IMPLY] scared [PERIOD]
lucky [AND] precious [IMPLY] rational [PERIOD]
bored [IMPLY] wandering [PERIOD]
sensible [AND] strange [IMPLY] serious [PERIOD]
bored [IMPLY] serious [PERIOD]
wandering [AND] rational [AND] careless [IMPLY] fragile [PERIOD]
fragile [AND] famous [IMPLY] comfortable [PERIOD]
fragile [AND] attentive [IMPLY] lucky [PERIOD]
fragile [IMPLY] careless [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   stupid ⇒ precious
   comfortable ∧ rational ⇒ scared
   scared ⇒ bored
   comfortable ⇒ wandering
   wandering ⇒ aggressive
   precious ∧ bored ∧ aggressive ⇒ sensible
",1,6
"Facts:  Alice is jittery [PERIOD] Alice is stormy [PERIOD] Alice is confused [PERIOD] Alice is impatient [PERIOD] Alice is courageous [PERIOD] Alice is foolish [PERIOD] Alice is muddy [PERIOD] Alice is combative [PERIOD] Alice is clean [PERIOD] Alice is inquisitive [PERIOD] Alice is fragile [PERIOD] Alice is naughty [PERIOD]
Rules:
courageous [AND] jittery [IMPLY] silly [PERIOD]
rational [AND] jittery [IMPLY] nervous [PERIOD]
disgusted [IMPLY] silly [PERIOD]
busy [AND] combative [IMPLY] confused [PERIOD]
impatient [AND] confused [IMPLY] talkative [PERIOD]
tame [IMPLY] inquisitive [PERIOD]
rational [IMPLY] busy [PERIOD]
foolish [AND] stormy [IMPLY] inquisitive [PERIOD]
disgusted [AND] confused [IMPLY] courageous [PERIOD]
confused [IMPLY] silly [PERIOD]
disgusted [AND] naughty [AND] tame [IMPLY] busy [PERIOD]
combative [IMPLY] disgusted [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
outrageous [AND] amused [AND] attentive [IMPLY] confident [PERIOD]
exuberant [AND] sensible [AND] powerful [IMPLY] nervous [PERIOD]
sensible [AND] attentive [IMPLY] troubled [PERIOD]
distinct [AND] ugliest [AND] amused [IMPLY] exuberant [PERIOD]
nervous [AND] victorious [IMPLY] confident [PERIOD]
bossy [AND] hurt [AND] distinct [IMPLY] nervous [PERIOD]
charming [AND] average [AND] nervous [IMPLY] fragile [PERIOD]
distinct [IMPLY] attentive [PERIOD]
sensible [IMPLY] fragile [PERIOD]
foolish [IMPLY] troubled [PERIOD]
distinct [IMPLY] amused [PERIOD]
charming [IMPLY] fragile [PERIOD]
distinct [AND] confident [AND] fragile [IMPLY] foolish [PERIOD]
bossy [IMPLY] pleasant [PERIOD]
charming [AND] bossy [AND] victorious [IMPLY] distinct [PERIOD]
bossy [AND] cute [AND] powerful [IMPLY] polite [PERIOD]
victorious [IMPLY] distinct [PERIOD]
distinct [AND] confident [AND] fragile [IMPLY] pleasant [PERIOD]
exuberant [AND] powerful [AND] average [IMPLY] cute [PERIOD]
confident [AND] charming [AND] dull [IMPLY] ugliest [PERIOD]
bossy [IMPLY] outrageous [PERIOD]
ugliest [IMPLY] nervous [PERIOD]
fragile [IMPLY] polite [PERIOD]
bossy [AND] exuberant [AND] fragile [IMPLY] victorious [PERIOD]
polite [IMPLY] ugliest [PERIOD]
ugliest [AND] confident [AND] attentive [IMPLY] powerful [PERIOD]
cute [IMPLY] distinct [PERIOD]
dull [AND] troubled [IMPLY] hurt [PERIOD]
hurt [AND] bossy [IMPLY] outrageous [PERIOD]
powerful [AND] charming [IMPLY] amused [PERIOD]
outrageous [AND] victorious [IMPLY] nervous [PERIOD]
sensible [IMPLY] dull [PERIOD]
sensible [AND] foolish [IMPLY] cute [PERIOD]
attentive [AND] foolish [IMPLY] polite [PERIOD]
distinct [AND] pleasant [AND] attentive [IMPLY] victorious [PERIOD]
confident [IMPLY] bossy [PERIOD]
polite [AND] sensible [AND] charming [IMPLY] troubled [PERIOD]
sensible [AND] pleasant [IMPLY] average [PERIOD]
confident [IMPLY] ugliest [PERIOD]
cute [IMPLY] bossy [PERIOD]
bossy [AND] exuberant [IMPLY] ugliest [PERIOD]
distinct [AND] nervous [AND] dull [IMPLY] fragile [PERIOD]
polite [AND] charming [AND] exuberant [IMPLY] confident [PERIOD]
troubled [AND] hurt [IMPLY] bossy [PERIOD]
foolish [AND] distinct [IMPLY] confident [PERIOD]
distinct [AND] bossy [AND] hurt [IMPLY] sensible [PERIOD]
exuberant [IMPLY] victorious [PERIOD]
exuberant [IMPLY] distinct [PERIOD]
distinct [AND] sensible [AND] polite [IMPLY] cute [PERIOD]
charming [AND] nervous [IMPLY] average [PERIOD]
outrageous [AND] confident [AND] dull [IMPLY] attentive [PERIOD]
bossy [IMPLY] hurt [PERIOD]
fragile [AND] dull [IMPLY] cute [PERIOD]
nervous [AND] dull [AND] exuberant [IMPLY] fragile [PERIOD]
outrageous [AND] fragile [AND] dull [IMPLY] average [PERIOD]
outrageous [AND] attentive [IMPLY] polite [PERIOD]
sensible [IMPLY] attentive [PERIOD]
amused [AND] hurt [IMPLY] distinct [PERIOD]
confident [AND] fragile [AND] average [IMPLY] cute [PERIOD]
troubled [AND] hurt [IMPLY] distinct [PERIOD]
pleasant [AND] bossy [AND] sensible [IMPLY] victorious [PERIOD]
confident [AND] troubled [IMPLY] hurt [PERIOD]
charming [IMPLY] nervous [PERIOD]
cute [AND] pleasant [AND] polite [IMPLY] victorious [PERIOD]
distinct [AND] cute [IMPLY] exuberant [PERIOD]
fragile [AND] powerful [IMPLY] polite [PERIOD]
attentive [AND] dull [AND] nervous [IMPLY] powerful [PERIOD]
ugliest [IMPLY] exuberant [PERIOD]
polite [AND] average [AND] cute [IMPLY] pleasant [PERIOD]
exuberant [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] bossy [PERIOD]
bossy [AND] dull [IMPLY] charming [PERIOD]
ugliest [IMPLY] dull [PERIOD]
charming [IMPLY] pleasant [PERIOD]
polite [AND] fragile [AND] sensible [IMPLY] charming [PERIOD]
amused [AND] attentive [IMPLY] average [PERIOD]
polite [AND] pleasant [IMPLY] charming [PERIOD]
powerful [AND] distinct [IMPLY] nervous [PERIOD]
troubled [AND] outrageous [AND] distinct [IMPLY] attentive [PERIOD]
sensible [IMPLY] victorious [PERIOD]
distinct [AND] charming [IMPLY] exuberant [PERIOD]
hurt [AND] charming [IMPLY] ugliest [PERIOD]
amused [AND] foolish [AND] hurt [IMPLY] cute [PERIOD]
ugliest [IMPLY] charming [PERIOD]
charming [AND] cute [AND] dull [IMPLY] fragile [PERIOD]
cute [IMPLY] confident [PERIOD]
bossy [AND] attentive [AND] polite [IMPLY] powerful [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   Cannot apply rule “distinct ⇒ attentive” because missing: distinct.
   Cannot apply rule “outrageous ∧ confident ∧ dull ⇒ attentive” because missing: outrageous, confident, dull.
   Cannot apply rule “sensible ⇒ attentive” because missing: sensible.
   Cannot apply rule “troubled ∧ outrageous ∧ distinct ⇒ attentive” because missing: troubled, outrageous, distinct.
",0,4
"Facts: 
Rules:
curious [AND] enchanting [AND] zealous [IMPLY] easy [PERIOD]
sensible [AND] easy [IMPLY] clean [PERIOD]
clean [IMPLY] easy [PERIOD]
helpful [IMPLY] curious [PERIOD]
sensible [IMPLY] helpful [PERIOD]
zealous [AND] helpful [IMPLY] easy [PERIOD]
helpful [AND] curious [IMPLY] enchanting [PERIOD]
sensible [AND] enchanting [AND] helpful [IMPLY] zealous [PERIOD]
easy [IMPLY] clean [PERIOD]
easy [AND] clean [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] easy [PERIOD]
zealous [IMPLY] clean [PERIOD]
helpful [IMPLY] zealous [PERIOD]
curious [AND] zealous [AND] easy [IMPLY] sensible [PERIOD]
curious [IMPLY] zealous [PERIOD]
clean [AND] zealous [AND] sensible [IMPLY] curious [PERIOD]
sensible [IMPLY] clean [PERIOD]
zealous [AND] sensible [IMPLY] clean [PERIOD]
enchanting [AND] zealous [AND] helpful [IMPLY] sensible [PERIOD]
sensible [AND] easy [AND] helpful [IMPLY] zealous [PERIOD]
clean [AND] easy [IMPLY] sensible [PERIOD]
clean [IMPLY] enchanting [PERIOD]
clean [AND] zealous [IMPLY] easy [PERIOD]
enchanting [AND] sensible [IMPLY] zealous [PERIOD]
sensible [AND] enchanting [AND] clean [IMPLY] curious [PERIOD]
enchanting [AND] clean [IMPLY] zealous [PERIOD]
clean [AND] enchanting [AND] curious [IMPLY] easy [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
   Cannot apply rule “curious ∧ enchanting ∧ zealous ⇒ easy” because missing: curious, enchanting, zealous.
   Cannot apply rule “clean ⇒ easy” because missing: clean.
   Cannot apply rule “zealous ∧ helpful ⇒ easy” because missing: zealous, helpful.
   Cannot apply rule “enchanting ⇒ easy” because missing: enchanting.
   Cannot apply rule “clean ∧ zealous ⇒ easy” because missing: clean, zealous.
   Cannot apply rule “clean ∧ enchanting ∧ curious ⇒ easy” because missing: clean, enchanting, curious.
",0,6
"Facts: 
Rules:
cruel [IMPLY] thoughtful [PERIOD]
strange [AND] serious [AND] thoughtful [IMPLY] bright [PERIOD]
cruel [AND] worrisome [AND] polite [IMPLY] strange [PERIOD]
bright [AND] cruel [AND] thoughtful [IMPLY] worrisome [PERIOD]
sincere [IMPLY] thoughtful [PERIOD]
serious [IMPLY] cruel [PERIOD]
worrisome [IMPLY] bright [PERIOD]
worrisome [AND] bright [AND] cruel [IMPLY] polite [PERIOD]
polite [AND] bright [IMPLY] sincere [PERIOD]
thoughtful [AND] serious [AND] strange [IMPLY] cruel [PERIOD]
serious [AND] worrisome [AND] sincere [IMPLY] strange [PERIOD]
bright [AND] cruel [AND] strange [IMPLY] sincere [PERIOD]
worrisome [AND] serious [IMPLY] strange [PERIOD]
cruel [AND] thoughtful [AND] worrisome [IMPLY] bright [PERIOD]
sincere [AND] strange [AND] serious [IMPLY] polite [PERIOD]
worrisome [IMPLY] strange [PERIOD]
thoughtful [AND] bright [AND] strange [IMPLY] polite [PERIOD]
cruel [IMPLY] worrisome [PERIOD]
strange [AND] serious [IMPLY] worrisome [PERIOD]
worrisome [IMPLY] serious [PERIOD]
polite [IMPLY] thoughtful [PERIOD]
polite [AND] cruel [IMPLY] thoughtful [PERIOD]
Query: Alice is cruel [PERIOD]","Proof chain:
   Cannot apply rule “serious ⇒ cruel” because missing: serious.
   Cannot apply rule “thoughtful ∧ serious ∧ strange ⇒ cruel” because missing: thoughtful, serious, strange.
",0,2
"Facts: 
Rules:
excited [AND] wrong [IMPLY] rude [PERIOD]
frail [IMPLY] elated [PERIOD]
frail [AND] elated [IMPLY] smart [PERIOD]
witty [AND] smart [AND] nervous [IMPLY] frail [PERIOD]
wrong [AND] anxious [AND] excited [IMPLY] famous [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   No rule concludes “excited.”
",0,1
"Facts:  Alice is attractive [PERIOD] Alice is victorious [PERIOD] Alice is unpleasant [PERIOD] Alice is foolish [PERIOD] Alice is mysterious [PERIOD]
Rules:
mysterious [AND] helpful [IMPLY] foolish [PERIOD]
wide-eyed [AND] victorious [IMPLY] calm [PERIOD]
inquisitive [AND] calm [IMPLY] adorable [PERIOD]
adorable [AND] inexpensive [AND] calm [IMPLY] mysterious [PERIOD]
unpleasant [AND] inexpensive [IMPLY] sleepy [PERIOD]
mysterious [AND] helpful [AND] inexpensive [IMPLY] wide-eyed [PERIOD]
adorable [AND] victorious [AND] calm [IMPLY] talented [PERIOD]
adorable [IMPLY] unpleasant [PERIOD]
inexpensive [AND] victorious [IMPLY] talented [PERIOD]
inexpensive [AND] unpleasant [AND] victorious [IMPLY] inquisitive [PERIOD]
adorable [AND] calm [AND] wide-eyed [IMPLY] helpful [PERIOD]
vivacious [AND] sleepy [AND] talented [IMPLY] victorious [PERIOD]
adorable [IMPLY] victorious [PERIOD]
vivacious [AND] outrageous [IMPLY] inexpensive [PERIOD]
foolish [AND] helpful [IMPLY] victorious [PERIOD]
victorious [AND] inquisitive [IMPLY] wide-eyed [PERIOD]
inexpensive [AND] helpful [IMPLY] outrageous [PERIOD]
attractive [IMPLY] calm [PERIOD]
sleepy [IMPLY] adorable [PERIOD]
foolish [IMPLY] talented [PERIOD]
unpleasant [IMPLY] mysterious [PERIOD]
unpleasant [AND] calm [AND] attractive [IMPLY] inexpensive [PERIOD]
attractive [IMPLY] victorious [PERIOD]
mysterious [AND] foolish [AND] calm [IMPLY] outrageous [PERIOD]
mysterious [AND] talented [IMPLY] foolish [PERIOD]
attractive [IMPLY] outrageous [PERIOD]
calm [AND] sleepy [IMPLY] foolish [PERIOD]
attractive [AND] inquisitive [AND] wide-eyed [IMPLY] adorable [PERIOD]
victorious [AND] inexpensive [AND] helpful [IMPLY] vivacious [PERIOD]
wide-eyed [IMPLY] foolish [PERIOD]
vivacious [AND] sleepy [IMPLY] attractive [PERIOD]
inexpensive [AND] sleepy [AND] unpleasant [IMPLY] vivacious [PERIOD]
wide-eyed [AND] unpleasant [AND] sleepy [IMPLY] talented [PERIOD]
helpful [AND] sleepy [AND] foolish [IMPLY] inquisitive [PERIOD]
unpleasant [AND] inquisitive [AND] foolish [IMPLY] mysterious [PERIOD]
sleepy [AND] foolish [AND] attractive [IMPLY] wide-eyed [PERIOD]
inexpensive [AND] wide-eyed [AND] foolish [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] mysterious [PERIOD]
victorious [AND] unpleasant [AND] talented [IMPLY] calm [PERIOD]
calm [AND] helpful [AND] talented [IMPLY] adorable [PERIOD]
sleepy [AND] wide-eyed [AND] victorious [IMPLY] inexpensive [PERIOD]
outrageous [AND] vivacious [IMPLY] victorious [PERIOD]
outrageous [IMPLY] talented [PERIOD]
wide-eyed [IMPLY] outrageous [PERIOD]
wide-eyed [IMPLY] attractive [PERIOD]
adorable [IMPLY] foolish [PERIOD]
inquisitive [AND] unpleasant [IMPLY] helpful [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   attractive ⇒ calm
   unpleasant ∧ calm ∧ attractive ⇒ inexpensive
   inexpensive ∧ unpleasant ∧ victorious ⇒ inquisitive
",1,3
"Facts: 
Rules:
fancy [AND] hilarious [AND] frantic [IMPLY] hurt [PERIOD]
fancy [IMPLY] hurt [PERIOD]
hilarious [AND] inexpensive [IMPLY] frantic [PERIOD]
frantic [AND] inexpensive [IMPLY] fancy [PERIOD]
hilarious [IMPLY] hurt [PERIOD]
hilarious [AND] fancy [IMPLY] inexpensive [PERIOD]
fancy [IMPLY] inexpensive [PERIOD]
hurt [AND] hilarious [IMPLY] inexpensive [PERIOD]
hurt [AND] frantic [AND] fancy [IMPLY] inexpensive [PERIOD]
fancy [AND] inexpensive [IMPLY] frantic [PERIOD]
hurt [AND] frantic [AND] inexpensive [IMPLY] hilarious [PERIOD]
inexpensive [IMPLY] hurt [PERIOD]
inexpensive [AND] hilarious [AND] fancy [IMPLY] frantic [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   Cannot apply rule “hilarious ∧ fancy ⇒ inexpensive” because missing: hilarious, fancy.
   Cannot apply rule “fancy ⇒ inexpensive” because missing: fancy.
   Cannot apply rule “hurt ∧ hilarious ⇒ inexpensive” because missing: hurt, hilarious.
   Cannot apply rule “hurt ∧ frantic ∧ fancy ⇒ inexpensive” because missing: hurt, frantic, fancy.
",0,4
"Facts:  Alice is modern [PERIOD] Alice is dull [PERIOD] Alice is excited [PERIOD] Alice is loving [PERIOD] Alice is tired [PERIOD] Alice is powerful [PERIOD] Alice is agreeable [PERIOD] Alice is precious [PERIOD] Alice is curious [PERIOD]
Rules:
modern [AND] precious [AND] agreeable [IMPLY] excited [PERIOD]
loving [AND] precious [AND] bored [IMPLY] agreeable [PERIOD]
agreeable [AND] disgusted [IMPLY] curious [PERIOD]
excited [AND] powerful [AND] modern [IMPLY] curious [PERIOD]
dull [IMPLY] curious [PERIOD]
tired [AND] modern [IMPLY] dull [PERIOD]
agreeable [AND] dull [IMPLY] tired [PERIOD]
curious [AND] precious [IMPLY] modern [PERIOD]
tired [AND] loving [IMPLY] bored [PERIOD]
powerful [AND] dull [IMPLY] curious [PERIOD]
bored [AND] perfect [IMPLY] clumsy [PERIOD]
confused [AND] plain [AND] curious [IMPLY] perfect [PERIOD]
agreeable [IMPLY] plain [PERIOD]
confused [AND] frantic [IMPLY] perfect [PERIOD]
tired [AND] confused [AND] bored [IMPLY] agreeable [PERIOD]
precious [AND] loving [IMPLY] dull [PERIOD]
bored [AND] agreeable [IMPLY] loving [PERIOD]
clumsy [IMPLY] perfect [PERIOD]
curious [IMPLY] dull [PERIOD]
excited [IMPLY] plain [PERIOD]
clumsy [IMPLY] excited [PERIOD]
perfect [AND] loving [AND] powerful [IMPLY] frantic [PERIOD]
confused [AND] bored [IMPLY] clumsy [PERIOD]
powerful [AND] bored [IMPLY] frantic [PERIOD]
tired [AND] curious [IMPLY] dull [PERIOD]
agreeable [AND] perfect [AND] loving [IMPLY] plain [PERIOD]
dull [AND] plain [IMPLY] disgusted [PERIOD]
frantic [IMPLY] tired [PERIOD]
disgusted [AND] clumsy [IMPLY] powerful [PERIOD]
modern [IMPLY] clumsy [PERIOD]
perfect [AND] modern [IMPLY] clumsy [PERIOD]
excited [AND] disgusted [IMPLY] dull [PERIOD]
dull [IMPLY] agreeable [PERIOD]
confused [AND] loving [IMPLY] dull [PERIOD]
plain [IMPLY] excited [PERIOD]
precious [IMPLY] confused [PERIOD]
perfect [AND] tired [AND] precious [IMPLY] powerful [PERIOD]
excited [AND] frantic [IMPLY] plain [PERIOD]
excited [AND] confused [AND] loving [IMPLY] precious [PERIOD]
powerful [AND] loving [AND] dull [IMPLY] frantic [PERIOD]
tired [IMPLY] plain [PERIOD]
clumsy [AND] excited [AND] modern [IMPLY] powerful [PERIOD]
clumsy [IMPLY] plain [PERIOD]
agreeable [AND] perfect [AND] loving [IMPLY] excited [PERIOD]
frantic [IMPLY] confused [PERIOD]
curious [IMPLY] modern [PERIOD]
excited [IMPLY] tired [PERIOD]
modern [AND] powerful [AND] excited [IMPLY] dull [PERIOD]
agreeable [IMPLY] powerful [PERIOD]
bored [AND] excited [IMPLY] tired [PERIOD]
modern [AND] agreeable [AND] precious [IMPLY] bored [PERIOD]
plain [AND] modern [AND] excited [IMPLY] tired [PERIOD]
dull [IMPLY] clumsy [PERIOD]
confused [AND] frantic [AND] precious [IMPLY] loving [PERIOD]
powerful [AND] excited [AND] disgusted [IMPLY] dull [PERIOD]
perfect [AND] plain [IMPLY] curious [PERIOD]
powerful [AND] excited [IMPLY] clumsy [PERIOD]
perfect [AND] curious [AND] powerful [IMPLY] frantic [PERIOD]
dull [AND] frantic [IMPLY] loving [PERIOD]
Query: Alice is bored [PERIOD]","Proof chain:
   modern ∧ agreeable ∧ precious ⇒ bored
",1,1
"Facts:  Alice is hypocritical [PERIOD] Alice is elated [PERIOD]
Rules:
sensible [IMPLY] anxious [PERIOD]
dull [AND] excited [IMPLY] ugly [PERIOD]
strange [IMPLY] comfortable [PERIOD]
wandering [AND] ugly [IMPLY] comfortable [PERIOD]
dull [AND] muddy [AND] proud [IMPLY] gorgeous [PERIOD]
proud [AND] inquisitive [IMPLY] clumsy [PERIOD]
anxious [AND] supportive [AND] quaint [IMPLY] pleasant [PERIOD]
sleepy [AND] inquisitive [IMPLY] scared [PERIOD]
elated [IMPLY] unpleasant [PERIOD]
strange [AND] wrong [AND] scared [IMPLY] anxious [PERIOD]
strange [AND] clumsy [AND] sleepy [IMPLY] excited [PERIOD]
wandering [IMPLY] gorgeous [PERIOD]
hypocritical [IMPLY] supportive [PERIOD]
sleepy [AND] wandering [IMPLY] hypocritical [PERIOD]
elated [AND] comfortable [AND] supportive [IMPLY] gorgeous [PERIOD]
comfortable [AND] bored [AND] wandering [IMPLY] elated [PERIOD]
weary [IMPLY] gorgeous [PERIOD]
anxious [AND] comfortable [AND] proud [IMPLY] inquisitive [PERIOD]
clumsy [AND] gorgeous [IMPLY] old-fashioned [PERIOD]
elated [AND] comfortable [IMPLY] old-fashioned [PERIOD]
sensible [IMPLY] inquisitive [PERIOD]
scared [IMPLY] weary [PERIOD]
excited [AND] supportive [AND] gorgeous [IMPLY] hypocritical [PERIOD]
hypocritical [AND] anxious [AND] clumsy [IMPLY] unpleasant [PERIOD]
strange [AND] comfortable [IMPLY] sensible [PERIOD]
quaint [AND] old-fashioned [IMPLY] supportive [PERIOD]
sleepy [AND] gorgeous [AND] sensible [IMPLY] hypocritical [PERIOD]
inquisitive [IMPLY] proud [PERIOD]
unpleasant [AND] muddy [AND] proud [IMPLY] wrong [PERIOD]
elated [AND] weary [IMPLY] scared [PERIOD]
proud [IMPLY] gorgeous [PERIOD]
wrong [IMPLY] pleasant [PERIOD]
comfortable [IMPLY] gorgeous [PERIOD]
gorgeous [AND] supportive [IMPLY] pleasant [PERIOD]
weary [AND] wandering [AND] quaint [IMPLY] elated [PERIOD]
old-fashioned [AND] comfortable [IMPLY] inquisitive [PERIOD]
hypocritical [IMPLY] bored [PERIOD]
dull [AND] weary [IMPLY] quaint [PERIOD]
pleasant [AND] old-fashioned [AND] comfortable [IMPLY] bored [PERIOD]
ugly [AND] muddy [IMPLY] inquisitive [PERIOD]
wandering [IMPLY] strange [PERIOD]
anxious [AND] inquisitive [IMPLY] unpleasant [PERIOD]
old-fashioned [AND] anxious [IMPLY] sleepy [PERIOD]
wandering [AND] weary [AND] excited [IMPLY] gorgeous [PERIOD]
strange [AND] ugly [IMPLY] gorgeous [PERIOD]
ugly [IMPLY] wandering [PERIOD]
clumsy [AND] ugly [AND] dull [IMPLY] gorgeous [PERIOD]
pleasant [AND] strange [AND] old-fashioned [IMPLY] inquisitive [PERIOD]
comfortable [AND] wandering [AND] excited [IMPLY] clumsy [PERIOD]
inquisitive [IMPLY] hypocritical [PERIOD]
strange [AND] inquisitive [IMPLY] wandering [PERIOD]
anxious [AND] strange [AND] inquisitive [IMPLY] pleasant [PERIOD]
old-fashioned [AND] clumsy [IMPLY] scared [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   Cannot apply rule “anxious ∧ comfortable ∧ proud ⇒ inquisitive” because missing: anxious, comfortable, proud.
   Cannot apply rule “sensible ⇒ inquisitive” because missing: sensible.
   Cannot apply rule “old-fashioned ∧ comfortable ⇒ inquisitive” because missing: old-fashioned, comfortable.
   Cannot apply rule “ugly ∧ muddy ⇒ inquisitive” because missing: ugly, muddy.
   Cannot apply rule “pleasant ∧ strange ∧ old-fashioned ⇒ inquisitive” because missing: pleasant, strange, old-fashioned.
",0,5
"Facts:  Alice is mysterious [PERIOD] Alice is gleaming [PERIOD] Alice is stubborn [PERIOD]
Rules:
good [IMPLY] combative [PERIOD]
cute [AND] combative [AND] dishonest [IMPLY] fine [PERIOD]
wrong [IMPLY] confident [PERIOD]
glamorous [IMPLY] wrong [PERIOD]
glamorous [AND] wide-eyed [AND] cute [IMPLY] mysterious [PERIOD]
combative [AND] mysterious [AND] confident [IMPLY] inquisitive [PERIOD]
good [AND] scared [IMPLY] mysterious [PERIOD]
cute [AND] glamorous [AND] good [IMPLY] wrong [PERIOD]
dishonest [IMPLY] confused [PERIOD]
cruel [AND] scared [AND] combative [IMPLY] fearless [PERIOD]
messy [IMPLY] mysterious [PERIOD]
cruel [AND] dishonest [IMPLY] cute [PERIOD]
mysterious [IMPLY] scared [PERIOD]
wrong [AND] inquisitive [IMPLY] stubborn [PERIOD]
mysterious [AND] gleaming [AND] messy [IMPLY] wide-eyed [PERIOD]
messy [AND] confused [AND] gleaming [IMPLY] cute [PERIOD]
cruel [AND] spotless [AND] cute [IMPLY] wide-eyed [PERIOD]
naughty [AND] thoughtless [IMPLY] stormy [PERIOD]
rational [AND] innocent [IMPLY] messy [PERIOD]
mysterious [AND] cruel [AND] gleaming [IMPLY] confused [PERIOD]
scared [AND] confused [IMPLY] mean [PERIOD]
good [AND] thoughtless [AND] scared [IMPLY] mysterious [PERIOD]
spotless [AND] mysterious [AND] fearless [IMPLY] confused [PERIOD]
dishonest [AND] mean [IMPLY] inquisitive [PERIOD]
mysterious [IMPLY] cute [PERIOD]
wrong [IMPLY] scared [PERIOD]
combative [IMPLY] dishonest [PERIOD]
stubborn [IMPLY] mysterious [PERIOD]
rational [AND] cruel [IMPLY] messy [PERIOD]
spotless [AND] thoughtless [IMPLY] innocent [PERIOD]
good [IMPLY] naughty [PERIOD]
stubborn [AND] fine [IMPLY] stormy [PERIOD]
wrong [IMPLY] mean [PERIOD]
naughty [AND] thoughtless [AND] fine [IMPLY] inquisitive [PERIOD]
fearless [AND] mean [AND] confused [IMPLY] gleaming [PERIOD]
glamorous [AND] thoughtless [IMPLY] wide-eyed [PERIOD]
good [AND] confused [IMPLY] glamorous [PERIOD]
stormy [AND] cute [IMPLY] confident [PERIOD]
good [AND] wrong [IMPLY] thoughtless [PERIOD]
stubborn [AND] innocent [AND] fearless [IMPLY] wide-eyed [PERIOD]
wrong [AND] glamorous [AND] scared [IMPLY] combative [PERIOD]
cruel [AND] rational [AND] spotless [IMPLY] stubborn [PERIOD]
naughty [AND] innocent [IMPLY] scared [PERIOD]
glamorous [IMPLY] stormy [PERIOD]
naughty [IMPLY] gleaming [PERIOD]
wide-eyed [AND] fearless [AND] confused [IMPLY] gleaming [PERIOD]
thoughtless [AND] stubborn [IMPLY] gleaming [PERIOD]
dishonest [IMPLY] naughty [PERIOD]
mysterious [AND] inquisitive [IMPLY] naughty [PERIOD]
naughty [AND] thoughtless [IMPLY] wrong [PERIOD]
messy [AND] combative [IMPLY] spotless [PERIOD]
cruel [IMPLY] naughty [PERIOD]
scared [AND] bright [IMPLY] messy [PERIOD]
mean [IMPLY] stubborn [PERIOD]
wide-eyed [AND] naughty [IMPLY] innocent [PERIOD]
glamorous [AND] rational [IMPLY] mean [PERIOD]
mysterious [AND] dishonest [IMPLY] cute [PERIOD]
wide-eyed [AND] scared [AND] fearless [IMPLY] cruel [PERIOD]
cute [AND] wrong [IMPLY] mean [PERIOD]
spotless [AND] fearless [IMPLY] stormy [PERIOD]
mean [IMPLY] wrong [PERIOD]
good [AND] innocent [IMPLY] bright [PERIOD]
messy [AND] stubborn [AND] cruel [IMPLY] confident [PERIOD]
wrong [IMPLY] stubborn [PERIOD]
confused [IMPLY] wide-eyed [PERIOD]
inquisitive [IMPLY] wrong [PERIOD]
cruel [AND] gleaming [IMPLY] wide-eyed [PERIOD]
inquisitive [AND] fine [AND] rational [IMPLY] cute [PERIOD]
glamorous [AND] mean [AND] stormy [IMPLY] dishonest [PERIOD]
glamorous [AND] cute [IMPLY] gleaming [PERIOD]
inquisitive [IMPLY] good [PERIOD]
scared [AND] stormy [IMPLY] stubborn [PERIOD]
naughty [AND] combative [AND] stubborn [IMPLY] mean [PERIOD]
wrong [AND] inquisitive [AND] gleaming [IMPLY] naughty [PERIOD]
confused [AND] gleaming [AND] wrong [IMPLY] mean [PERIOD]
cruel [IMPLY] thoughtless [PERIOD]
wrong [AND] fearless [AND] good [IMPLY] confident [PERIOD]
glamorous [IMPLY] scared [PERIOD]
fine [IMPLY] stormy [PERIOD]
bright [IMPLY] stubborn [PERIOD]
combative [AND] gleaming [IMPLY] mysterious [PERIOD]
stormy [AND] combative [AND] dishonest [IMPLY] confused [PERIOD]
combative [IMPLY] wrong [PERIOD]
fearless [IMPLY] glamorous [PERIOD]
combative [AND] rational [IMPLY] gleaming [PERIOD]
combative [IMPLY] bright [PERIOD]
mean [AND] bright [AND] wrong [IMPLY] dishonest [PERIOD]
spotless [AND] cute [AND] stormy [IMPLY] thoughtless [PERIOD]
wrong [AND] spotless [AND] gleaming [IMPLY] bright [PERIOD]
confident [IMPLY] spotless [PERIOD]
stormy [AND] rational [IMPLY] cruel [PERIOD]
innocent [IMPLY] dishonest [PERIOD]
wide-eyed [IMPLY] bright [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   Cannot apply rule “good ⇒ combative” because missing: good.
   mysterious ⇒ scared
   Cannot apply rule “wrong ∧ glamorous ∧ scared ⇒ combative” because missing: wrong, glamorous.
",0,3
"Facts:  Alice is condemned [PERIOD]
Rules:
bright [IMPLY] witty [PERIOD]
condemned [AND] spotless [IMPLY] hypocritical [PERIOD]
strange [AND] spotless [AND] confident [IMPLY] bright [PERIOD]
spotless [AND] bright [IMPLY] tame [PERIOD]
bright [IMPLY] confident [PERIOD]
confused [IMPLY] hypocritical [PERIOD]
confused [AND] confident [AND] strange [IMPLY] tense [PERIOD]
bright [IMPLY] jittery [PERIOD]
tense [AND] hypocritical [AND] condemned [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] hypocritical [PERIOD]
jittery [AND] thoughtful [AND] bright [IMPLY] strange [PERIOD]
spotless [AND] tense [AND] thoughtful [IMPLY] condemned [PERIOD]
tense [AND] witty [AND] tame [IMPLY] jittery [PERIOD]
straightforward [AND] hypocritical [IMPLY] condemned [PERIOD]
tame [AND] tense [AND] witty [IMPLY] straightforward [PERIOD]
confident [IMPLY] straightforward [PERIOD]
tense [AND] witty [IMPLY] confused [PERIOD]
confident [AND] tense [IMPLY] tame [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   No rule concludes “spotless.”
",0,1
"Facts: 
Rules:
vivacious [AND] stupid [IMPLY] lucky [PERIOD]
inexpensive [AND] zealous [IMPLY] proud [PERIOD]
proud [AND] inexpensive [AND] bored [IMPLY] cute [PERIOD]
inexpensive [IMPLY] proud [PERIOD]
homely [AND] frantic [IMPLY] cute [PERIOD]
shy [IMPLY] proud [PERIOD]
impatient [AND] helpless [IMPLY] uptight [PERIOD]
stupid [IMPLY] distinct [PERIOD]
helpless [IMPLY] vivacious [PERIOD]
supportive [AND] proud [IMPLY] impatient [PERIOD]
distinct [AND] cooperative [AND] homely [IMPLY] hilarious [PERIOD]
disobedient [IMPLY] inexpensive [PERIOD]
grumpy [IMPLY] cute [PERIOD]
helpless [AND] homely [IMPLY] vivacious [PERIOD]
cute [AND] inexpensive [IMPLY] proud [PERIOD]
cute [AND] helpless [IMPLY] vivacious [PERIOD]
helpless [AND] hilarious [IMPLY] proud [PERIOD]
cute [AND] inexpensive [AND] shy [IMPLY] bored [PERIOD]
bossy [IMPLY] inexpensive [PERIOD]
cooperative [AND] frantic [IMPLY] uptight [PERIOD]
stupid [AND] cooperative [IMPLY] zealous [PERIOD]
disobedient [AND] vivacious [IMPLY] stupid [PERIOD]
uptight [IMPLY] hilarious [PERIOD]
bored [IMPLY] helpless [PERIOD]
stupid [IMPLY] homely [PERIOD]
helpless [AND] inexpensive [AND] outstanding [IMPLY] distinct [PERIOD]
uptight [AND] helpless [AND] cooperative [IMPLY] bored [PERIOD]
stupid [IMPLY] lucky [PERIOD]
stupid [AND] inexpensive [IMPLY] bossy [PERIOD]
frantic [AND] impatient [AND] homely [IMPLY] perfect [PERIOD]
uptight [IMPLY] vivacious [PERIOD]
shy [IMPLY] perfect [PERIOD]
disobedient [AND] homely [AND] vivacious [IMPLY] bossy [PERIOD]
outstanding [AND] frantic [AND] shy [IMPLY] cute [PERIOD]
outstanding [IMPLY] perfect [PERIOD]
shiny [IMPLY] bossy [PERIOD]
proud [AND] impatient [IMPLY] inexpensive [PERIOD]
uptight [AND] disobedient [IMPLY] cute [PERIOD]
vivacious [IMPLY] helpless [PERIOD]
outstanding [AND] vivacious [AND] proud [IMPLY] stupid [PERIOD]
disobedient [AND] hilarious [AND] perfect [IMPLY] bossy [PERIOD]
inexpensive [AND] stupid [AND] shiny [IMPLY] shy [PERIOD]
bored [AND] frantic [AND] lucky [IMPLY] proud [PERIOD]
vivacious [AND] uptight [AND] distinct [IMPLY] stupid [PERIOD]
cooperative [IMPLY] bored [PERIOD]
vivacious [IMPLY] proud [PERIOD]
bored [IMPLY] lucky [PERIOD]
hilarious [AND] disobedient [IMPLY] bossy [PERIOD]
stupid [IMPLY] proud [PERIOD]
proud [IMPLY] uptight [PERIOD]
zealous [AND] frantic [AND] bossy [IMPLY] supportive [PERIOD]
impatient [AND] grumpy [IMPLY] stupid [PERIOD]
bossy [AND] hilarious [IMPLY] perfect [PERIOD]
stupid [AND] disobedient [AND] shiny [IMPLY] bossy [PERIOD]
shy [AND] frantic [IMPLY] vivacious [PERIOD]
disobedient [IMPLY] lucky [PERIOD]
grumpy [AND] inexpensive [IMPLY] shiny [PERIOD]
outstanding [IMPLY] bored [PERIOD]
supportive [AND] bored [AND] perfect [IMPLY] disobedient [PERIOD]
lucky [AND] helpless [IMPLY] proud [PERIOD]
zealous [AND] impatient [AND] bored [IMPLY] disobedient [PERIOD]
stupid [IMPLY] impatient [PERIOD]
impatient [AND] proud [IMPLY] vivacious [PERIOD]
uptight [AND] zealous [AND] disobedient [IMPLY] vivacious [PERIOD]
shy [AND] grumpy [IMPLY] cute [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   Cannot apply rule “stupid ∧ inexpensive ⇒ bossy” because missing: stupid, inexpensive.
   Cannot apply rule “disobedient ∧ homely ∧ vivacious ⇒ bossy” because missing: disobedient, homely, vivacious.
   Cannot apply rule “shiny ⇒ bossy” because missing: shiny.
   Cannot apply rule “disobedient ∧ hilarious ∧ perfect ⇒ bossy” because missing: disobedient, hilarious, perfect.
   Cannot apply rule “hilarious ∧ disobedient ⇒ bossy” because missing: hilarious, disobedient.
   Cannot apply rule “stupid ∧ disobedient ∧ shiny ⇒ bossy” because missing: stupid, disobedient, shiny.
",0,6
"Facts:  Alice is hurt [PERIOD] Alice is dull [PERIOD] Alice is disgusted [PERIOD] Alice is grumpy [PERIOD] Alice is scared [PERIOD] Alice is messy [PERIOD] Alice is ambitious [PERIOD] Alice is calm [PERIOD] Alice is hypocritical [PERIOD] Alice is impatient [PERIOD]
Rules:
confused [AND] ambitious [AND] disgusted [IMPLY] troubled [PERIOD]
hilarious [AND] smart [IMPLY] vivacious [PERIOD]
cruel [AND] hurt [AND] friendly [IMPLY] hilarious [PERIOD]
troubled [AND] ugliest [AND] confused [IMPLY] impatient [PERIOD]
messy [AND] grumpy [AND] hypocritical [IMPLY] worrisome [PERIOD]
dull [AND] ambitious [IMPLY] hypocritical [PERIOD]
friendly [IMPLY] uptight [PERIOD]
troubled [AND] cruel [IMPLY] calm [PERIOD]
worrisome [IMPLY] hilarious [PERIOD]
cruel [AND] talented [IMPLY] dull [PERIOD]
hilarious [IMPLY] tense [PERIOD]
ambitious [IMPLY] friendly [PERIOD]
ugliest [AND] worrisome [IMPLY] tense [PERIOD]
worrisome [AND] calm [IMPLY] troubled [PERIOD]
tense [IMPLY] worrisome [PERIOD]
friendly [AND] disgusted [AND] hurt [IMPLY] confused [PERIOD]
talented [AND] hilarious [IMPLY] disgusted [PERIOD]
hilarious [IMPLY] grumpy [PERIOD]
disgusted [AND] scared [AND] dull [IMPLY] smart [PERIOD]
ugliest [AND] friendly [IMPLY] vivacious [PERIOD]
confused [IMPLY] vivacious [PERIOD]
scared [IMPLY] confused [PERIOD]
smart [IMPLY] disgusted [PERIOD]
troubled [IMPLY] tense [PERIOD]
cruel [IMPLY] calm [PERIOD]
hilarious [AND] talented [IMPLY] impatient [PERIOD]
disgusted [AND] confused [IMPLY] uptight [PERIOD]
grumpy [AND] ugliest [AND] uptight [IMPLY] talented [PERIOD]
dull [IMPLY] tense [PERIOD]
cruel [IMPLY] messy [PERIOD]
vivacious [AND] talented [AND] scared [IMPLY] uptight [PERIOD]
hilarious [AND] talented [IMPLY] smart [PERIOD]
hurt [AND] talented [IMPLY] vivacious [PERIOD]
ambitious [AND] hilarious [IMPLY] uptight [PERIOD]
smart [IMPLY] worrisome [PERIOD]
hurt [AND] confused [AND] ugliest [IMPLY] uptight [PERIOD]
messy [AND] worrisome [AND] hilarious [IMPLY] dull [PERIOD]
talented [IMPLY] confused [PERIOD]
confused [AND] uptight [AND] dull [IMPLY] friendly [PERIOD]
troubled [AND] vivacious [AND] hypocritical [IMPLY] smart [PERIOD]
confused [IMPLY] cruel [PERIOD]
hilarious [AND] worrisome [AND] troubled [IMPLY] ugliest [PERIOD]
grumpy [AND] impatient [IMPLY] scared [PERIOD]
hypocritical [AND] grumpy [IMPLY] vivacious [PERIOD]
messy [AND] talented [IMPLY] friendly [PERIOD]
impatient [AND] talented [AND] hypocritical [IMPLY] ugliest [PERIOD]
hilarious [AND] ambitious [IMPLY] scared [PERIOD]
impatient [AND] friendly [AND] troubled [IMPLY] dull [PERIOD]
dull [AND] friendly [AND] impatient [IMPLY] calm [PERIOD]
tense [IMPLY] polite [PERIOD]
scared [AND] messy [IMPLY] hilarious [PERIOD]
scared [AND] hypocritical [AND] hilarious [IMPLY] friendly [PERIOD]
uptight [AND] ambitious [AND] scared [IMPLY] confused [PERIOD]
worrisome [AND] messy [AND] hypocritical [IMPLY] troubled [PERIOD]
impatient [AND] smart [AND] dull [IMPLY] friendly [PERIOD]
smart [AND] grumpy [AND] hurt [IMPLY] dull [PERIOD]
calm [IMPLY] troubled [PERIOD]
grumpy [AND] dull [IMPLY] polite [PERIOD]
ugliest [AND] ambitious [AND] cruel [IMPLY] disgusted [PERIOD]
tense [AND] hurt [IMPLY] smart [PERIOD]
tense [AND] smart [AND] ambitious [IMPLY] dull [PERIOD]
hypocritical [AND] cruel [AND] tense [IMPLY] ambitious [PERIOD]
polite [AND] troubled [IMPLY] cruel [PERIOD]
hilarious [AND] smart [AND] friendly [IMPLY] grumpy [PERIOD]
hurt [IMPLY] impatient [PERIOD]
hypocritical [AND] impatient [AND] calm [IMPLY] tense [PERIOD]
friendly [AND] cruel [IMPLY] disgusted [PERIOD]
cruel [AND] hurt [AND] vivacious [IMPLY] hypocritical [PERIOD]
troubled [AND] smart [AND] hilarious [IMPLY] disgusted [PERIOD]
hurt [AND] calm [IMPLY] uptight [PERIOD]
grumpy [AND] friendly [AND] smart [IMPLY] polite [PERIOD]
scared [AND] friendly [IMPLY] impatient [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
   scared ∧ messy ⇒ hilarious
   messy ∧ grumpy ∧ hypocritical ⇒ worrisome
   calm ⇒ troubled
   hilarious ∧ worrisome ∧ troubled ⇒ ugliest
   hurt ∧ calm ⇒ uptight
   grumpy ∧ ugliest ∧ uptight ⇒ talented
",1,6
"Facts: 
Rules:
strange [AND] busy [IMPLY] combative [PERIOD]
spotless [IMPLY] lonely [PERIOD]
lonely [IMPLY] horrible [PERIOD]
outstanding [AND] gifted [AND] difficult [IMPLY] spotless [PERIOD]
outstanding [IMPLY] strange [PERIOD]
gifted [AND] difficult [IMPLY] horrible [PERIOD]
calm [AND] bored [AND] strange [IMPLY] supportive [PERIOD]
gleaming [AND] pleasant [IMPLY] nervous [PERIOD]
combative [AND] grumpy [IMPLY] weary [PERIOD]
pleasant [IMPLY] supportive [PERIOD]
lonely [AND] difficult [IMPLY] worried [PERIOD]
curious [IMPLY] weary [PERIOD]
gleaming [AND] strange [IMPLY] outstanding [PERIOD]
horrible [IMPLY] confused [PERIOD]
curious [AND] supportive [AND] weary [IMPLY] calm [PERIOD]
versatile [AND] difficult [AND] supportive [IMPLY] grumpy [PERIOD]
busy [AND] nervous [IMPLY] stubborn [PERIOD]
gifted [AND] bright [IMPLY] jittery [PERIOD]
calm [IMPLY] outrageous [PERIOD]
spotless [IMPLY] gleaming [PERIOD]
witty [AND] charming [AND] curious [IMPLY] outstanding [PERIOD]
bossy [AND] victorious [AND] strange [IMPLY] versatile [PERIOD]
worried [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] victorious [PERIOD]
outrageous [AND] spotless [IMPLY] difficult [PERIOD]
gleaming [AND] charming [AND] spotless [IMPLY] busy [PERIOD]
confused [AND] versatile [AND] bored [IMPLY] victorious [PERIOD]
worried [AND] combative [AND] calm [IMPLY] strange [PERIOD]
bored [AND] spotless [IMPLY] bossy [PERIOD]
busy [AND] combative [AND] confused [IMPLY] worried [PERIOD]
difficult [AND] confused [IMPLY] bright [PERIOD]
combative [IMPLY] curious [PERIOD]
horrible [AND] outrageous [IMPLY] pleasant [PERIOD]
bossy [AND] grumpy [AND] weary [IMPLY] gleaming [PERIOD]
supportive [AND] bored [IMPLY] victorious [PERIOD]
charming [AND] gifted [AND] confused [IMPLY] supportive [PERIOD]
gleaming [IMPLY] witty [PERIOD]
jittery [AND] weary [IMPLY] thoughtful [PERIOD]
strange [IMPLY] charming [PERIOD]
gleaming [AND] spotless [AND] combative [IMPLY] thoughtful [PERIOD]
strange [IMPLY] nervous [PERIOD]
curious [IMPLY] bored [PERIOD]
nervous [AND] strange [AND] grumpy [IMPLY] weary [PERIOD]
gleaming [IMPLY] victorious [PERIOD]
witty [AND] stubborn [IMPLY] pleasant [PERIOD]
weary [IMPLY] charming [PERIOD]
worried [AND] supportive [AND] gifted [IMPLY] charming [PERIOD]
curious [IMPLY] grumpy [PERIOD]
bored [IMPLY] bright [PERIOD]
charming [AND] combative [IMPLY] worried [PERIOD]
confused [AND] bored [IMPLY] stubborn [PERIOD]
difficult [IMPLY] strange [PERIOD]
versatile [AND] curious [IMPLY] bored [PERIOD]
supportive [AND] bored [AND] busy [IMPLY] pleasant [PERIOD]
gifted [AND] lonely [IMPLY] supportive [PERIOD]
gleaming [AND] difficult [AND] horrible [IMPLY] stubborn [PERIOD]
nervous [IMPLY] curious [PERIOD]
strange [IMPLY] horrible [PERIOD]
pleasant [IMPLY] gifted [PERIOD]
lonely [AND] bossy [AND] calm [IMPLY] outrageous [PERIOD]
gifted [AND] strange [AND] bright [IMPLY] nervous [PERIOD]
stubborn [IMPLY] grumpy [PERIOD]
thoughtful [AND] gifted [AND] strange [IMPLY] bossy [PERIOD]
confused [AND] gleaming [IMPLY] charming [PERIOD]
strange [IMPLY] weary [PERIOD]
bossy [AND] difficult [AND] curious [IMPLY] lonely [PERIOD]
thoughtful [AND] bright [IMPLY] bored [PERIOD]
charming [IMPLY] calm [PERIOD]
lonely [IMPLY] outstanding [PERIOD]
thoughtful [IMPLY] supportive [PERIOD]
outrageous [AND] versatile [IMPLY] curious [PERIOD]
supportive [AND] bored [IMPLY] calm [PERIOD]
nervous [AND] versatile [IMPLY] grumpy [PERIOD]
combative [AND] victorious [IMPLY] pleasant [PERIOD]
outrageous [IMPLY] confused [PERIOD]
combative [AND] weary [IMPLY] gifted [PERIOD]
curious [AND] weary [AND] bossy [IMPLY] lonely [PERIOD]
thoughtful [AND] stubborn [AND] bright [IMPLY] lonely [PERIOD]
combative [AND] bright [AND] supportive [IMPLY] curious [PERIOD]
witty [AND] nervous [IMPLY] combative [PERIOD]
grumpy [AND] difficult [IMPLY] bossy [PERIOD]
outrageous [IMPLY] gleaming [PERIOD]
stubborn [IMPLY] witty [PERIOD]
pleasant [AND] bored [IMPLY] thoughtful [PERIOD]
nervous [AND] charming [IMPLY] lonely [PERIOD]
strange [IMPLY] pleasant [PERIOD]
strange [IMPLY] difficult [PERIOD]
worried [AND] bright [AND] strange [IMPLY] pleasant [PERIOD]
supportive [AND] outrageous [AND] outstanding [IMPLY] calm [PERIOD]
bright [AND] thoughtful [AND] supportive [IMPLY] nervous [PERIOD]
nervous [AND] busy [IMPLY] spotless [PERIOD]
bored [AND] versatile [AND] busy [IMPLY] combative [PERIOD]
pleasant [AND] bright [IMPLY] victorious [PERIOD]
weary [IMPLY] grumpy [PERIOD]
busy [AND] difficult [AND] outstanding [IMPLY] calm [PERIOD]
bright [AND] thoughtful [AND] bossy [IMPLY] nervous [PERIOD]
busy [AND] charming [AND] grumpy [IMPLY] horrible [PERIOD]
confused [AND] difficult [IMPLY] grumpy [PERIOD]
lonely [AND] stubborn [AND] outrageous [IMPLY] outstanding [PERIOD]
versatile [IMPLY] strange [PERIOD]
nervous [AND] outrageous [IMPLY] busy [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   Cannot apply rule “versatile ∧ difficult ∧ supportive ⇒ grumpy” because missing: versatile, difficult, supportive.
   Cannot apply rule “curious ⇒ grumpy” because missing: curious.
   Cannot apply rule “stubborn ⇒ grumpy” because missing: stubborn.
   Cannot apply rule “nervous ∧ versatile ⇒ grumpy” because missing: nervous, versatile.
   Cannot apply rule “weary ⇒ grumpy” because missing: weary.
   Cannot apply rule “confused ∧ difficult ⇒ grumpy” because missing: confused, difficult.
",0,6
"Facts:  Alice is ugliest [PERIOD] Alice is hypocritical [PERIOD] Alice is confident [PERIOD] Alice is ugly [PERIOD] Alice is embarrassed [PERIOD] Alice is troubled [PERIOD] Alice is smart [PERIOD] Alice is tender [PERIOD] Alice is mean [PERIOD] Alice is difficult [PERIOD] Alice is foolish [PERIOD] Alice is innocent [PERIOD] Alice is muddy [PERIOD] Alice is ambitious [PERIOD] Alice is uptight [PERIOD] Alice is thoughtful [PERIOD] Alice is dull [PERIOD] Alice is charming [PERIOD] Alice is proud [PERIOD] Alice is stubborn [PERIOD] Alice is lonely [PERIOD]
Rules:
mean [AND] weary [AND] tense [IMPLY] distinct [PERIOD]
foolish [AND] messy [AND] muddy [IMPLY] ugliest [PERIOD]
proud [AND] innocent [AND] hypocritical [IMPLY] stubborn [PERIOD]
charming [AND] dull [IMPLY] proud [PERIOD]
foolish [AND] diplomatic [IMPLY] adorable [PERIOD]
tense [AND] diplomatic [IMPLY] calm [PERIOD]
difficult [AND] weary [IMPLY] charming [PERIOD]
difficult [AND] lonely [IMPLY] messy [PERIOD]
stubborn [AND] charming [AND] innocent [IMPLY] uptight [PERIOD]
innocent [AND] distinct [AND] hypocritical [IMPLY] foolish [PERIOD]
weary [AND] thoughtful [IMPLY] difficult [PERIOD]
charming [AND] tense [IMPLY] weary [PERIOD]
calm [IMPLY] troubled [PERIOD]
dull [AND] messy [IMPLY] mean [PERIOD]
charming [IMPLY] difficult [PERIOD]
foolish [IMPLY] innocent [PERIOD]
troubled [IMPLY] innocent [PERIOD]
smart [AND] silly [IMPLY] troubled [PERIOD]
distinct [IMPLY] embarrassed [PERIOD]
uptight [AND] hypocritical [AND] difficult [IMPLY] silly [PERIOD]
weary [IMPLY] messy [PERIOD]
confident [IMPLY] foolish [PERIOD]
proud [AND] hypocritical [AND] ambitious [IMPLY] charming [PERIOD]
innocent [IMPLY] uptight [PERIOD]
messy [AND] troubled [AND] dull [IMPLY] hypocritical [PERIOD]
confident [IMPLY] adorable [PERIOD]
thoughtful [IMPLY] tense [PERIOD]
distinct [IMPLY] ambitious [PERIOD]
thoughtful [AND] distinct [IMPLY] tense [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
beautiful [AND] victorious [IMPLY] stupid [PERIOD]
victorious [IMPLY] difficult [PERIOD]
stupid [AND] difficult [IMPLY] grumpy [PERIOD]
quaint [IMPLY] victorious [PERIOD]
naughty [AND] grumpy [IMPLY] stupid [PERIOD]
quaint [AND] stupid [IMPLY] beautiful [PERIOD]
difficult [AND] quaint [IMPLY] grumpy [PERIOD]
naughty [AND] quaint [AND] grumpy [IMPLY] difficult [PERIOD]
grumpy [IMPLY] quaint [PERIOD]
victorious [IMPLY] beautiful [PERIOD]
stupid [AND] difficult [AND] quaint [IMPLY] beautiful [PERIOD]
stupid [AND] difficult [AND] naughty [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] difficult [PERIOD]
difficult [IMPLY] stupid [PERIOD]
grumpy [AND] stupid [IMPLY] beautiful [PERIOD]
naughty [IMPLY] grumpy [PERIOD]
grumpy [AND] difficult [IMPLY] naughty [PERIOD]
naughty [AND] grumpy [IMPLY] quaint [PERIOD]
grumpy [AND] beautiful [IMPLY] naughty [PERIOD]
stupid [AND] victorious [AND] difficult [IMPLY] grumpy [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   Cannot apply rule “stupid ∧ difficult ⇒ grumpy” because missing: stupid, difficult.
   Cannot apply rule “difficult ∧ quaint ⇒ grumpy” because missing: difficult, quaint.
   Cannot apply rule “beautiful ⇒ grumpy” because missing: beautiful.
   Cannot apply rule “naughty ⇒ grumpy” because missing: naughty.
   Cannot apply rule “stupid ∧ victorious ∧ difficult ⇒ grumpy” because missing: stupid, victorious, difficult.
",0,5
"Facts:  Alice is thoughtless [PERIOD]
Rules:
mysterious [IMPLY] uptight [PERIOD]
mysterious [AND] calm [IMPLY] uptight [PERIOD]
fragile [AND] calm [IMPLY] thoughtless [PERIOD]
mysterious [AND] different [IMPLY] calm [PERIOD]
different [AND] calm [AND] mysterious [IMPLY] fragile [PERIOD]
mysterious [IMPLY] calm [PERIOD]
thoughtless [AND] mysterious [AND] fragile [IMPLY] calm [PERIOD]
different [AND] mysterious [AND] fragile [IMPLY] uptight [PERIOD]
mysterious [AND] calm [IMPLY] thoughtless [PERIOD]
uptight [IMPLY] different [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   Cannot apply rule “mysterious ⇒ uptight” because missing: mysterious.
   Cannot apply rule “mysterious ∧ calm ⇒ uptight” because missing: mysterious, calm.
   Cannot apply rule “different ∧ mysterious ∧ fragile ⇒ uptight” because missing: different, mysterious, fragile.
",0,3
"Facts:  Alice is confused [PERIOD] Alice is cruel [PERIOD] Alice is shy [PERIOD] Alice is beautiful [PERIOD]
Rules:
rude [AND] diplomatic [IMPLY] frightened [PERIOD]
diplomatic [AND] beautiful [AND] easy [IMPLY] cruel [PERIOD]
diplomatic [AND] vivacious [IMPLY] average [PERIOD]
shy [IMPLY] confused [PERIOD]
diplomatic [IMPLY] embarrassed [PERIOD]
rude [AND] beautiful [AND] perfect [IMPLY] joyous [PERIOD]
joyous [AND] muddy [IMPLY] confused [PERIOD]
intellectual [AND] fragile [AND] shy [IMPLY] diplomatic [PERIOD]
easy [AND] rude [AND] diplomatic [IMPLY] frightened [PERIOD]
intellectual [IMPLY] frightened [PERIOD]
cruel [AND] fragile [IMPLY] joyous [PERIOD]
joyous [IMPLY] average [PERIOD]
intellectual [IMPLY] fragile [PERIOD]
beautiful [AND] intellectual [IMPLY] embarrassed [PERIOD]
beautiful [IMPLY] confused [PERIOD]
intellectual [AND] diplomatic [IMPLY] vivacious [PERIOD]
shy [AND] fragile [IMPLY] average [PERIOD]
diplomatic [AND] confused [AND] easy [IMPLY] rude [PERIOD]
average [IMPLY] shy [PERIOD]
diplomatic [IMPLY] frightened [PERIOD]
fragile [AND] intellectual [AND] perfect [IMPLY] frightened [PERIOD]
fragile [IMPLY] confused [PERIOD]
joyous [AND] muddy [AND] cruel [IMPLY] embarrassed [PERIOD]
shy [IMPLY] joyous [PERIOD]
confused [IMPLY] easy [PERIOD]
perfect [IMPLY] vivacious [PERIOD]
beautiful [AND] easy [AND] perfect [IMPLY] muddy [PERIOD]
vivacious [AND] intellectual [AND] diplomatic [IMPLY] muddy [PERIOD]
vivacious [AND] beautiful [IMPLY] shy [PERIOD]
frightened [IMPLY] embarrassed [PERIOD]
frightened [AND] cruel [IMPLY] diplomatic [PERIOD]
embarrassed [AND] fragile [IMPLY] frightened [PERIOD]
rude [AND] perfect [AND] easy [IMPLY] cruel [PERIOD]
confused [IMPLY] fragile [PERIOD]
beautiful [AND] cruel [IMPLY] intellectual [PERIOD]
intellectual [AND] frightened [IMPLY] easy [PERIOD]
perfect [AND] cruel [IMPLY] confused [PERIOD]
muddy [AND] confused [AND] diplomatic [IMPLY] vivacious [PERIOD]
diplomatic [AND] beautiful [IMPLY] cruel [PERIOD]
joyous [AND] easy [AND] intellectual [IMPLY] rude [PERIOD]
rude [AND] joyous [IMPLY] frightened [PERIOD]
easy [AND] vivacious [IMPLY] rude [PERIOD]
beautiful [IMPLY] diplomatic [PERIOD]
muddy [IMPLY] easy [PERIOD]
cruel [AND] intellectual [AND] rude [IMPLY] shy [PERIOD]
cruel [AND] fragile [IMPLY] shy [PERIOD]
muddy [AND] joyous [AND] easy [IMPLY] beautiful [PERIOD]
vivacious [AND] easy [IMPLY] muddy [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is hilarious [PERIOD]
Rules:
broad-minded [AND] muddy [IMPLY] zealous [PERIOD]
broad-minded [AND] muddy [IMPLY] horrible [PERIOD]
horrible [AND] hilarious [AND] muddy [IMPLY] zealous [PERIOD]
muddy [AND] zealous [AND] horrible [IMPLY] hilarious [PERIOD]
zealous [AND] muddy [AND] horrible [IMPLY] broad-minded [PERIOD]
muddy [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] zealous [PERIOD]
muddy [IMPLY] hilarious [PERIOD]
horrible [AND] muddy [IMPLY] zealous [PERIOD]
muddy [AND] horrible [AND] broad-minded [IMPLY] zealous [PERIOD]
zealous [AND] horrible [AND] broad-minded [IMPLY] hilarious [PERIOD]
broad-minded [AND] hilarious [IMPLY] zealous [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ∧ muddy ⇒ zealous” because missing: broad-minded, muddy.
   Cannot apply rule “horrible ∧ hilarious ∧ muddy ⇒ zealous” because missing: horrible, muddy.
   Cannot apply rule “broad-minded ⇒ zealous” because missing: broad-minded.
   Cannot apply rule “horrible ∧ muddy ⇒ zealous” because missing: horrible, muddy.
   Cannot apply rule “muddy ∧ horrible ∧ broad-minded ⇒ zealous” because missing: muddy, horrible, broad-minded.
   Cannot apply rule “broad-minded ∧ hilarious ⇒ zealous” because missing: broad-minded.
",0,6
"Facts: 
Rules:
thoughtful [AND] sincere [AND] hilarious [IMPLY] long [PERIOD]
loving [AND] bossy [IMPLY] long [PERIOD]
stormy [AND] tender [AND] weary [IMPLY] thoughtful [PERIOD]
sincere [IMPLY] broad-minded [PERIOD]
loving [AND] frail [AND] calm [IMPLY] naughty [PERIOD]
modern [IMPLY] stormy [PERIOD]
weary [IMPLY] calm [PERIOD]
foolish [AND] adorable [IMPLY] thoughtful [PERIOD]
foolish [IMPLY] tender [PERIOD]
modern [AND] calm [AND] foolish [IMPLY] sincere [PERIOD]
long [AND] calm [AND] stormy [IMPLY] naughty [PERIOD]
foolish [IMPLY] sincere [PERIOD]
weary [AND] witty [AND] adorable [IMPLY] calm [PERIOD]
bossy [AND] stormy [IMPLY] tender [PERIOD]
sincere [IMPLY] naughty [PERIOD]
thoughtful [AND] weary [AND] frail [IMPLY] foolish [PERIOD]
long [AND] naughty [IMPLY] tender [PERIOD]
frail [IMPLY] adorable [PERIOD]
naughty [AND] long [AND] hilarious [IMPLY] broad-minded [PERIOD]
foolish [IMPLY] weary [PERIOD]
sincere [AND] frail [AND] foolish [IMPLY] thoughtful [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   Cannot apply rule “foolish ⇒ tender” because missing: foolish.
   Cannot apply rule “bossy ∧ stormy ⇒ tender” because missing: bossy, stormy.
   Cannot apply rule “long ∧ naughty ⇒ tender” because missing: long, naughty.
",0,3
"Facts:  Alice is light [PERIOD] Alice is enchanting [PERIOD] Alice is frightened [PERIOD] Alice is attentive [PERIOD] Alice is elated [PERIOD] Alice is frantic [PERIOD] Alice is selfish [PERIOD] Alice is foolish [PERIOD] Alice is strange [PERIOD] Alice is ugliest [PERIOD] Alice is stormy [PERIOD] Alice is hilarious [PERIOD] Alice is difficult [PERIOD] Alice is thoughtful [PERIOD] Alice is clean [PERIOD] Alice is supportive [PERIOD] Alice is frail [PERIOD] Alice is gorgeous [PERIOD] Alice is easy [PERIOD] Alice is curious [PERIOD] Alice is pleasant [PERIOD] Alice is polite [PERIOD] Alice is dull [PERIOD]
Rules:
horrible [AND] enchanting [IMPLY] foolish [PERIOD]
difficult [IMPLY] horrible [PERIOD]
ugliest [IMPLY] disobedient [PERIOD]
light [AND] horrible [AND] strange [IMPLY] polite [PERIOD]
ugliest [IMPLY] elated [PERIOD]
foolish [AND] pleasant [AND] elated [IMPLY] fragile [PERIOD]
curious [AND] disobedient [AND] fragile [IMPLY] selfish [PERIOD]
light [AND] pleasant [IMPLY] gorgeous [PERIOD]
dull [AND] clean [AND] strange [IMPLY] light [PERIOD]
easy [IMPLY] strange [PERIOD]
selfish [AND] curious [AND] supportive [IMPLY] frightened [PERIOD]
frantic [AND] attentive [IMPLY] polite [PERIOD]
hilarious [AND] foolish [IMPLY] thoughtful [PERIOD]
stormy [AND] frail [IMPLY] ugliest [PERIOD]
foolish [AND] thoughtful [AND] attentive [IMPLY] disobedient [PERIOD]
difficult [AND] thoughtful [AND] frantic [IMPLY] polite [PERIOD]
enchanting [AND] attentive [AND] dull [IMPLY] clean [PERIOD]
enchanting [IMPLY] frantic [PERIOD]
difficult [AND] attentive [IMPLY] disobedient [PERIOD]
clean [AND] bossy [AND] ugliest [IMPLY] hilarious [PERIOD]
horrible [AND] frail [IMPLY] ugliest [PERIOD]
dull [IMPLY] ugliest [PERIOD]
frail [AND] light [AND] bossy [IMPLY] gorgeous [PERIOD]
ugliest [AND] difficult [IMPLY] dull [PERIOD]
thoughtful [AND] supportive [AND] fragile [IMPLY] gorgeous [PERIOD]
gorgeous [AND] frightened [IMPLY] easy [PERIOD]
fragile [AND] stormy [AND] thoughtful [IMPLY] foolish [PERIOD]
elated [AND] clean [IMPLY] difficult [PERIOD]
attentive [AND] light [AND] disobedient [IMPLY] fragile [PERIOD]
foolish [IMPLY] attentive [PERIOD]
light [AND] curious [AND] frantic [IMPLY] gorgeous [PERIOD]
easy [AND] clean [AND] dull [IMPLY] frail [PERIOD]
easy [AND] fragile [IMPLY] dull [PERIOD]
hilarious [IMPLY] frail [PERIOD]
difficult [AND] frail [AND] horrible [IMPLY] light [PERIOD]
gorgeous [AND] thoughtful [AND] polite [IMPLY] selfish [PERIOD]
dull [IMPLY] hilarious [PERIOD]
clean [IMPLY] horrible [PERIOD]
selfish [IMPLY] enchanting [PERIOD]
clean [AND] hilarious [AND] polite [IMPLY] attentive [PERIOD]
horrible [IMPLY] supportive [PERIOD]
attentive [AND] ugliest [IMPLY] selfish [PERIOD]
easy [IMPLY] stormy [PERIOD]
pleasant [AND] hilarious [AND] elated [IMPLY] enchanting [PERIOD]
enchanting [AND] curious [IMPLY] clean [PERIOD]
clean [IMPLY] thoughtful [PERIOD]
ugliest [IMPLY] frail [PERIOD]
supportive [IMPLY] thoughtful [PERIOD]
supportive [AND] curious [IMPLY] frail [PERIOD]
frail [IMPLY] gorgeous [PERIOD]
disobedient [AND] difficult [AND] thoughtful [IMPLY] polite [PERIOD]
frantic [AND] elated [IMPLY] light [PERIOD]
elated [IMPLY] disobedient [PERIOD]
light [IMPLY] pleasant [PERIOD]
curious [AND] stormy [IMPLY] foolish [PERIOD]
foolish [AND] selfish [IMPLY] polite [PERIOD]
bossy [IMPLY] attentive [PERIOD]
pleasant [IMPLY] polite [PERIOD]
selfish [AND] frail [IMPLY] supportive [PERIOD]
pleasant [IMPLY] easy [PERIOD]
easy [AND] frantic [AND] frail [IMPLY] curious [PERIOD]
frantic [AND] foolish [AND] clean [IMPLY] gorgeous [PERIOD]
dull [AND] pleasant [IMPLY] foolish [PERIOD]
horrible [AND] polite [IMPLY] difficult [PERIOD]
stormy [AND] enchanting [IMPLY] pleasant [PERIOD]
dull [AND] horrible [IMPLY] easy [PERIOD]
supportive [IMPLY] polite [PERIOD]
thoughtful [AND] frightened [IMPLY] selfish [PERIOD]
easy [AND] hilarious [AND] elated [IMPLY] fragile [PERIOD]
curious [IMPLY] light [PERIOD]
attentive [AND] enchanting [AND] dull [IMPLY] horrible [PERIOD]
frightened [AND] ugliest [IMPLY] elated [PERIOD]
ugliest [AND] elated [AND] clean [IMPLY] enchanting [PERIOD]
frantic [AND] pleasant [IMPLY] ugliest [PERIOD]
clean [IMPLY] pleasant [PERIOD]
horrible [IMPLY] pleasant [PERIOD]
enchanting [AND] frail [IMPLY] horrible [PERIOD]
gorgeous [AND] foolish [AND] attentive [IMPLY] frantic [PERIOD]
easy [AND] clean [IMPLY] horrible [PERIOD]
foolish [AND] difficult [AND] frail [IMPLY] hilarious [PERIOD]
foolish [AND] ugliest [AND] gorgeous [IMPLY] hilarious [PERIOD]
supportive [IMPLY] ugliest [PERIOD]
polite [AND] foolish [IMPLY] hilarious [PERIOD]
fragile [AND] disobedient [AND] thoughtful [IMPLY] selfish [PERIOD]
dull [AND] bossy [IMPLY] frantic [PERIOD]
enchanting [IMPLY] polite [PERIOD]
light [AND] enchanting [AND] clean [IMPLY] dull [PERIOD]
hilarious [AND] bossy [IMPLY] foolish [PERIOD]
supportive [AND] gorgeous [AND] selfish [IMPLY] curious [PERIOD]
frightened [IMPLY] attentive [PERIOD]
frantic [AND] enchanting [IMPLY] frightened [PERIOD]
hilarious [AND] thoughtful [IMPLY] stormy [PERIOD]
ugliest [AND] selfish [IMPLY] polite [PERIOD]
stormy [IMPLY] ugliest [PERIOD]
hilarious [AND] frightened [AND] attentive [IMPLY] strange [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is enchanting [PERIOD] Alice is zealous [PERIOD] Alice is plain [PERIOD] Alice is clumsy [PERIOD]
Rules:
clumsy [AND] alert [AND] condemned [IMPLY] enchanting [PERIOD]
sleepy [IMPLY] tender [PERIOD]
supportive [AND] frantic [AND] zealous [IMPLY] combative [PERIOD]
uptight [AND] sleepy [AND] crowded [IMPLY] powerful [PERIOD]
powerful [AND] enchanting [IMPLY] crowded [PERIOD]
sleepy [AND] enchanting [AND] popular [IMPLY] jittery [PERIOD]
powerful [AND] crowded [AND] zealous [IMPLY] popular [PERIOD]
uptight [AND] clumsy [AND] tender [IMPLY] jittery [PERIOD]
frail [AND] tender [IMPLY] good [PERIOD]
alert [IMPLY] embarrassed [PERIOD]
jittery [IMPLY] comfortable [PERIOD]
alert [IMPLY] friendly [PERIOD]
combative [IMPLY] crowded [PERIOD]
good [IMPLY] uptight [PERIOD]
pessimistic [IMPLY] enchanting [PERIOD]
frantic [AND] jittery [AND] comfortable [IMPLY] friendly [PERIOD]
plain [IMPLY] supportive [PERIOD]
combative [AND] embarrassed [IMPLY] agreeable [PERIOD]
jittery [IMPLY] alert [PERIOD]
sleepy [IMPLY] supportive [PERIOD]
crowded [AND] tender [AND] jittery [IMPLY] amused [PERIOD]
pessimistic [AND] powerful [AND] enchanting [IMPLY] popular [PERIOD]
amused [IMPLY] crowded [PERIOD]
clumsy [AND] friendly [IMPLY] condemned [PERIOD]
plain [AND] amused [AND] tender [IMPLY] pessimistic [PERIOD]
alert [AND] sleepy [IMPLY] condemned [PERIOD]
tender [AND] good [IMPLY] enchanting [PERIOD]
condemned [AND] friendly [IMPLY] clumsy [PERIOD]
clean [IMPLY] combative [PERIOD]
clean [IMPLY] jittery [PERIOD]
good [AND] plain [IMPLY] amused [PERIOD]
supportive [AND] frantic [IMPLY] jittery [PERIOD]
frail [IMPLY] friendly [PERIOD]
condemned [AND] sleepy [IMPLY] friendly [PERIOD]
clean [AND] agreeable [IMPLY] enchanting [PERIOD]
alert [AND] embarrassed [IMPLY] friendly [PERIOD]
jittery [AND] friendly [AND] pessimistic [IMPLY] comfortable [PERIOD]
zealous [AND] good [IMPLY] agreeable [PERIOD]
condemned [AND] tender [AND] frantic [IMPLY] jittery [PERIOD]
condemned [IMPLY] frail [PERIOD]
enchanting [IMPLY] ambitious [PERIOD]
impartial [AND] enchanting [IMPLY] jittery [PERIOD]
pessimistic [AND] uptight [IMPLY] agreeable [PERIOD]
ambitious [AND] powerful [AND] embarrassed [IMPLY] frantic [PERIOD]
good [AND] plain [AND] friendly [IMPLY] ambitious [PERIOD]
crowded [AND] agreeable [IMPLY] amused [PERIOD]
tender [IMPLY] pessimistic [PERIOD]
agreeable [IMPLY] frantic [PERIOD]
clumsy [IMPLY] crowded [PERIOD]
powerful [AND] impartial [AND] agreeable [IMPLY] embarrassed [PERIOD]
supportive [AND] alert [IMPLY] enchanting [PERIOD]
frail [IMPLY] clumsy [PERIOD]
combative [AND] crowded [AND] supportive [IMPLY] tender [PERIOD]
ambitious [AND] embarrassed [AND] popular [IMPLY] enchanting [PERIOD]
supportive [AND] frantic [IMPLY] tender [PERIOD]
uptight [IMPLY] alert [PERIOD]
ambitious [AND] crowded [IMPLY] clean [PERIOD]
alert [AND] plain [IMPLY] enchanting [PERIOD]
enchanting [AND] clean [AND] uptight [IMPLY] alert [PERIOD]
amused [IMPLY] jittery [PERIOD]
embarrassed [IMPLY] crowded [PERIOD]
enchanting [AND] impartial [AND] zealous [IMPLY] crowded [PERIOD]
clean [AND] tender [IMPLY] ambitious [PERIOD]
embarrassed [IMPLY] zealous [PERIOD]
zealous [AND] pessimistic [IMPLY] comfortable [PERIOD]
amused [IMPLY] sleepy [PERIOD]
powerful [IMPLY] frantic [PERIOD]
frantic [IMPLY] crowded [PERIOD]
clumsy [AND] powerful [IMPLY] combative [PERIOD]
clumsy [AND] amused [IMPLY] comfortable [PERIOD]
zealous [IMPLY] amused [PERIOD]
amused [IMPLY] frail [PERIOD]
frail [AND] good [AND] clean [IMPLY] comfortable [PERIOD]
combative [AND] plain [AND] alert [IMPLY] comfortable [PERIOD]
plain [AND] crowded [IMPLY] comfortable [PERIOD]
frail [AND] friendly [AND] plain [IMPLY] combative [PERIOD]
amused [AND] pessimistic [IMPLY] zealous [PERIOD]
ambitious [AND] good [IMPLY] condemned [PERIOD]
embarrassed [AND] combative [IMPLY] tender [PERIOD]
combative [AND] impartial [AND] amused [IMPLY] jittery [PERIOD]
zealous [AND] clean [IMPLY] sleepy [PERIOD]
crowded [IMPLY] sleepy [PERIOD]
comfortable [IMPLY] powerful [PERIOD]
pessimistic [AND] jittery [IMPLY] frail [PERIOD]
clumsy [IMPLY] powerful [PERIOD]
friendly [IMPLY] sleepy [PERIOD]
ambitious [AND] friendly [IMPLY] condemned [PERIOD]
crowded [IMPLY] condemned [PERIOD]
comfortable [AND] clean [IMPLY] enchanting [PERIOD]
good [AND] tender [AND] agreeable [IMPLY] jittery [PERIOD]
good [AND] frantic [AND] powerful [IMPLY] tender [PERIOD]
jittery [AND] agreeable [IMPLY] sleepy [PERIOD]
ambitious [AND] friendly [IMPLY] popular [PERIOD]
combative [AND] uptight [IMPLY] frail [PERIOD]
friendly [AND] tender [IMPLY] popular [PERIOD]
enchanting [AND] frantic [AND] impartial [IMPLY] comfortable [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   clumsy ⇒ powerful
   clumsy ∧ powerful ⇒ combative
   clumsy ⇒ crowded
   plain ⇒ supportive
   combative ∧ crowded ∧ supportive ⇒ tender
",1,5
"Facts: 
Rules:
adorable [AND] gorgeous [IMPLY] disgusted [PERIOD]
hurt [AND] calm [IMPLY] sleepy [PERIOD]
elegant [AND] dishonest [AND] charming [IMPLY] attractive [PERIOD]
hurt [IMPLY] thoughtless [PERIOD]
cruel [IMPLY] charming [PERIOD]
calm [AND] mean [IMPLY] intellectual [PERIOD]
worrisome [AND] intellectual [AND] shy [IMPLY] stubborn [PERIOD]
shiny [AND] dishonest [IMPLY] worrisome [PERIOD]
dishonest [AND] thoughtless [AND] charming [IMPLY] gorgeous [PERIOD]
stubborn [AND] mean [IMPLY] bored [PERIOD]
bored [AND] worrisome [AND] cruel [IMPLY] messy [PERIOD]
stubborn [AND] intellectual [IMPLY] dishonest [PERIOD]
difficult [IMPLY] sleepy [PERIOD]
agreeable [AND] elegant [IMPLY] gorgeous [PERIOD]
difficult [IMPLY] confused [PERIOD]
dishonest [AND] bored [IMPLY] hurt [PERIOD]
adorable [AND] dishonest [IMPLY] shy [PERIOD]
elegant [AND] cruel [IMPLY] hurt [PERIOD]
attractive [AND] hurt [IMPLY] sleepy [PERIOD]
dishonest [AND] confused [AND] stubborn [IMPLY] cruel [PERIOD]
worrisome [AND] frightened [AND] elated [IMPLY] confused [PERIOD]
gorgeous [IMPLY] calm [PERIOD]
elated [IMPLY] thoughtless [PERIOD]
dishonest [AND] shiny [AND] elated [IMPLY] thoughtless [PERIOD]
worrisome [AND] sleepy [IMPLY] thoughtless [PERIOD]
mean [AND] frightened [AND] difficult [IMPLY] gorgeous [PERIOD]
stubborn [AND] worrisome [IMPLY] calm [PERIOD]
stubborn [IMPLY] hurt [PERIOD]
disgusted [IMPLY] calm [PERIOD]
messy [AND] confused [AND] adorable [IMPLY] frightened [PERIOD]
mean [AND] hurt [AND] shy [IMPLY] cruel [PERIOD]
charming [IMPLY] adorable [PERIOD]
calm [IMPLY] stubborn [PERIOD]
messy [IMPLY] thoughtless [PERIOD]
shy [AND] intellectual [AND] bored [IMPLY] gorgeous [PERIOD]
cruel [IMPLY] attractive [PERIOD]
charming [AND] elegant [IMPLY] shiny [PERIOD]
dishonest [AND] attractive [AND] charming [IMPLY] calm [PERIOD]
mean [AND] gorgeous [AND] cruel [IMPLY] difficult [PERIOD]
elated [IMPLY] elegant [PERIOD]
confused [IMPLY] elated [PERIOD]
agreeable [IMPLY] frightened [PERIOD]
elated [AND] disgusted [AND] adorable [IMPLY] hurt [PERIOD]
intellectual [AND] adorable [IMPLY] worrisome [PERIOD]
agreeable [AND] frightened [IMPLY] elegant [PERIOD]
agreeable [AND] adorable [IMPLY] frightened [PERIOD]
dishonest [AND] hurt [IMPLY] cruel [PERIOD]
shy [AND] disgusted [AND] elegant [IMPLY] gorgeous [PERIOD]
thoughtless [AND] stubborn [IMPLY] hurt [PERIOD]
disgusted [IMPLY] sleepy [PERIOD]
elegant [AND] intellectual [IMPLY] calm [PERIOD]
charming [IMPLY] messy [PERIOD]
shiny [AND] mean [AND] disgusted [IMPLY] stubborn [PERIOD]
elegant [AND] charming [IMPLY] agreeable [PERIOD]
attractive [AND] mean [IMPLY] shy [PERIOD]
elegant [AND] confused [IMPLY] elated [PERIOD]
worrisome [AND] thoughtless [AND] mean [IMPLY] bored [PERIOD]
worrisome [AND] difficult [AND] confused [IMPLY] shiny [PERIOD]
charming [IMPLY] intellectual [PERIOD]
mean [AND] attractive [IMPLY] thoughtless [PERIOD]
mean [AND] attractive [AND] elegant [IMPLY] intellectual [PERIOD]
sleepy [AND] elated [IMPLY] attractive [PERIOD]
charming [AND] agreeable [AND] difficult [IMPLY] shy [PERIOD]
attractive [AND] cruel [IMPLY] difficult [PERIOD]
calm [AND] charming [IMPLY] bored [PERIOD]
gorgeous [IMPLY] elated [PERIOD]
adorable [IMPLY] sleepy [PERIOD]
cruel [IMPLY] worrisome [PERIOD]
gorgeous [AND] charming [IMPLY] difficult [PERIOD]
shiny [AND] attractive [AND] frightened [IMPLY] agreeable [PERIOD]
worrisome [AND] gorgeous [IMPLY] messy [PERIOD]
dishonest [AND] sleepy [AND] attractive [IMPLY] charming [PERIOD]
shiny [AND] worrisome [AND] frightened [IMPLY] disgusted [PERIOD]
thoughtless [AND] stubborn [AND] cruel [IMPLY] elegant [PERIOD]
bored [AND] shy [IMPLY] mean [PERIOD]
elegant [AND] frightened [AND] dishonest [IMPLY] thoughtless [PERIOD]
charming [IMPLY] attractive [PERIOD]
mean [AND] elated [AND] cruel [IMPLY] shy [PERIOD]
confused [IMPLY] cruel [PERIOD]
bored [AND] gorgeous [IMPLY] cruel [PERIOD]
confused [AND] elated [IMPLY] calm [PERIOD]
intellectual [IMPLY] messy [PERIOD]
shy [AND] hurt [AND] stubborn [IMPLY] thoughtless [PERIOD]
shiny [AND] dishonest [AND] agreeable [IMPLY] sleepy [PERIOD]
gorgeous [AND] elated [AND] stubborn [IMPLY] agreeable [PERIOD]
confused [AND] cruel [IMPLY] messy [PERIOD]
shy [AND] dishonest [IMPLY] gorgeous [PERIOD]
cruel [IMPLY] mean [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   Cannot apply rule “elegant ∧ dishonest ∧ charming ⇒ attractive” because missing: elegant, dishonest, charming.
   Cannot apply rule “cruel ⇒ attractive” because missing: cruel.
   Cannot apply rule “sleepy ∧ elated ⇒ attractive” because missing: sleepy, elated.
   Cannot apply rule “charming ⇒ attractive” because missing: charming.
",0,4
"Facts:  Alice is bored [PERIOD] Alice is agreeable [PERIOD] Alice is embarrassed [PERIOD] Alice is wide-eyed [PERIOD] Alice is frantic [PERIOD] Alice is frightened [PERIOD] Alice is victorious [PERIOD]
Rules:
old-fashioned [AND] modern [AND] wrong [IMPLY] innocent [PERIOD]
amused [IMPLY] wandering [PERIOD]
frightened [IMPLY] embarrassed [PERIOD]
adorable [AND] bored [AND] wide-eyed [IMPLY] outstanding [PERIOD]
hurt [AND] helpful [IMPLY] pleasant [PERIOD]
innocent [AND] helpful [AND] wide-eyed [IMPLY] wrong [PERIOD]
hurt [AND] sleepy [AND] adorable [IMPLY] wandering [PERIOD]
agreeable [IMPLY] selfish [PERIOD]
bored [IMPLY] tense [PERIOD]
wide-eyed [AND] adorable [AND] cute [IMPLY] hurt [PERIOD]
modern [AND] wide-eyed [AND] old-fashioned [IMPLY] tense [PERIOD]
old-fashioned [AND] innocent [AND] tense [IMPLY] outstanding [PERIOD]
wide-eyed [IMPLY] tense [PERIOD]
adorable [IMPLY] sleepy [PERIOD]
cute [AND] modern [IMPLY] pleasant [PERIOD]
innocent [AND] tense [AND] cute [IMPLY] old-fashioned [PERIOD]
hurt [AND] wandering [AND] wrong [IMPLY] outstanding [PERIOD]
modern [AND] innocent [IMPLY] wrong [PERIOD]
outstanding [AND] selfish [IMPLY] helpful [PERIOD]
frightened [AND] selfish [AND] hurt [IMPLY] tense [PERIOD]
agreeable [IMPLY] frantic [PERIOD]
outstanding [AND] sleepy [AND] tense [IMPLY] helpful [PERIOD]
selfish [AND] adorable [AND] amused [IMPLY] old-fashioned [PERIOD]
frantic [IMPLY] hurt [PERIOD]
frightened [IMPLY] amused [PERIOD]
hurt [AND] tense [AND] frightened [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] agreeable [PERIOD]
amused [IMPLY] outstanding [PERIOD]
innocent [AND] helpful [AND] tense [IMPLY] embarrassed [PERIOD]
pleasant [AND] frantic [AND] wide-eyed [IMPLY] frightened [PERIOD]
wide-eyed [AND] modern [IMPLY] frightened [PERIOD]
innocent [IMPLY] selfish [PERIOD]
selfish [AND] tense [IMPLY] wrong [PERIOD]
victorious [AND] tense [IMPLY] outstanding [PERIOD]
embarrassed [AND] frightened [AND] wrong [IMPLY] wide-eyed [PERIOD]
frantic [IMPLY] amused [PERIOD]
innocent [AND] bored [AND] outstanding [IMPLY] wide-eyed [PERIOD]
embarrassed [AND] tense [IMPLY] wide-eyed [PERIOD]
agreeable [AND] sleepy [AND] bored [IMPLY] frantic [PERIOD]
wandering [IMPLY] frightened [PERIOD]
selfish [AND] wide-eyed [IMPLY] frantic [PERIOD]
agreeable [AND] tense [IMPLY] outstanding [PERIOD]
hurt [AND] sleepy [IMPLY] old-fashioned [PERIOD]
hurt [AND] tense [IMPLY] sleepy [PERIOD]
tense [AND] modern [AND] agreeable [IMPLY] bored [PERIOD]
frightened [AND] hurt [AND] frantic [IMPLY] wrong [PERIOD]
amused [AND] selfish [AND] wandering [IMPLY] innocent [PERIOD]
wide-eyed [AND] modern [IMPLY] tense [PERIOD]
wandering [AND] helpful [AND] amused [IMPLY] hurt [PERIOD]
modern [IMPLY] bored [PERIOD]
innocent [AND] hurt [IMPLY] embarrassed [PERIOD]
amused [AND] old-fashioned [IMPLY] hurt [PERIOD]
sleepy [AND] old-fashioned [IMPLY] embarrassed [PERIOD]
frantic [AND] wandering [AND] tense [IMPLY] modern [PERIOD]
selfish [AND] hurt [AND] frightened [IMPLY] bored [PERIOD]
pleasant [IMPLY] tense [PERIOD]
adorable [AND] embarrassed [IMPLY] wrong [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   frantic ⇒ hurt
   frantic ⇒ hurt
   bored ⇒ tense
   hurt ∧ tense ⇒ sleepy
   hurt ∧ sleepy ⇒ old-fashioned
",1,5
"Facts:  Alice is lucky [PERIOD] Alice is fancy [PERIOD] Alice is calm [PERIOD] Alice is tender [PERIOD] Alice is stupid [PERIOD] Alice is wrong [PERIOD] Alice is victorious [PERIOD] Alice is wide-eyed [PERIOD] Alice is condemned [PERIOD] Alice is long [PERIOD] Alice is frightened [PERIOD] Alice is polite [PERIOD] Alice is adorable [PERIOD] Alice is impartial [PERIOD] Alice is hypocritical [PERIOD] Alice is talented [PERIOD]
Rules:
tender [AND] selfish [AND] stupid [IMPLY] hypocritical [PERIOD]
amused [IMPLY] famous [PERIOD]
bright [IMPLY] stupid [PERIOD]
amused [IMPLY] comfortable [PERIOD]
zealous [IMPLY] long [PERIOD]
lucky [IMPLY] amused [PERIOD]
wide-eyed [IMPLY] impartial [PERIOD]
frightened [IMPLY] light [PERIOD]
victorious [AND] wide-eyed [AND] amused [IMPLY] polite [PERIOD]
wide-eyed [AND] talented [AND] polite [IMPLY] lucky [PERIOD]
fancy [AND] polite [AND] victorious [IMPLY] zealous [PERIOD]
adorable [AND] frightened [AND] stupid [IMPLY] condemned [PERIOD]
wide-eyed [IMPLY] tender [PERIOD]
comfortable [AND] famous [IMPLY] zealous [PERIOD]
victorious [IMPLY] polite [PERIOD]
fancy [AND] condemned [AND] adorable [IMPLY] stupid [PERIOD]
comfortable [AND] hypocritical [IMPLY] polite [PERIOD]
frightened [IMPLY] wide-eyed [PERIOD]
zealous [AND] lucky [AND] victorious [IMPLY] famous [PERIOD]
long [AND] wrong [IMPLY] polite [PERIOD]
victorious [AND] famous [AND] polite [IMPLY] frightened [PERIOD]
wrong [IMPLY] condemned [PERIOD]
selfish [IMPLY] bright [PERIOD]
fancy [IMPLY] victorious [PERIOD]
victorious [IMPLY] zealous [PERIOD]
polite [AND] bright [AND] amused [IMPLY] talented [PERIOD]
bright [AND] fancy [IMPLY] wrong [PERIOD]
dishonest [IMPLY] polite [PERIOD]
stupid [IMPLY] wrong [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is cruel [PERIOD] Alice is fancy [PERIOD] Alice is thoughtful [PERIOD] Alice is worried [PERIOD] Alice is smart [PERIOD] Alice is courageous [PERIOD] Alice is embarrassed [PERIOD] Alice is stubborn [PERIOD] Alice is ambitious [PERIOD] Alice is good [PERIOD] Alice is impartial [PERIOD] Alice is straightforward [PERIOD] Alice is powerful [PERIOD] Alice is alert [PERIOD]
Rules:
good [AND] uptight [IMPLY] smart [PERIOD]
cruel [IMPLY] tense [PERIOD]
smart [AND] embarrassed [AND] elated [IMPLY] outstanding [PERIOD]
alert [IMPLY] outstanding [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   No rule concludes “broad-minded.”
",0,1
"Facts:  Alice is exuberant [PERIOD] Alice is ugliest [PERIOD] Alice is modern [PERIOD] Alice is distinct [PERIOD]
Rules:
ugliest [IMPLY] tender [PERIOD]
amused [AND] lucky [IMPLY] ugliest [PERIOD]
precious [AND] zealous [AND] tender [IMPLY] fragile [PERIOD]
elated [AND] fine [AND] tender [IMPLY] popular [PERIOD]
modern [AND] popular [AND] distinct [IMPLY] light [PERIOD]
famous [IMPLY] elated [PERIOD]
quaint [AND] inquisitive [IMPLY] agreeable [PERIOD]
popular [AND] quaint [AND] fearless [IMPLY] frantic [PERIOD]
famous [IMPLY] light [PERIOD]
elated [IMPLY] light [PERIOD]
precious [AND] quaint [AND] amused [IMPLY] ugliest [PERIOD]
homely [AND] fearless [AND] confident [IMPLY] distinct [PERIOD]
fragile [AND] lucky [AND] precious [IMPLY] tender [PERIOD]
fearless [AND] zealous [IMPLY] innocent [PERIOD]
exuberant [IMPLY] precious [PERIOD]
ugliest [AND] innocent [AND] quaint [IMPLY] light [PERIOD]
agreeable [IMPLY] amused [PERIOD]
homely [AND] fragile [AND] fine [IMPLY] precious [PERIOD]
worrisome [IMPLY] popular [PERIOD]
precious [AND] famous [IMPLY] inquisitive [PERIOD]
confident [IMPLY] famous [PERIOD]
confident [IMPLY] innocent [PERIOD]
lucky [AND] confident [AND] homely [IMPLY] distinct [PERIOD]
quaint [IMPLY] inquisitive [PERIOD]
fearless [AND] distinct [IMPLY] worrisome [PERIOD]
worrisome [AND] light [IMPLY] exuberant [PERIOD]
confident [AND] ugliest [IMPLY] light [PERIOD]
exuberant [IMPLY] ugliest [PERIOD]
famous [IMPLY] lucky [PERIOD]
elated [AND] fine [IMPLY] lucky [PERIOD]
light [AND] lucky [AND] fragile [IMPLY] agreeable [PERIOD]
distinct [IMPLY] elated [PERIOD]
quaint [AND] tender [AND] worrisome [IMPLY] exuberant [PERIOD]
light [IMPLY] elated [PERIOD]
innocent [AND] ugliest [IMPLY] worrisome [PERIOD]
zealous [AND] amused [IMPLY] fragile [PERIOD]
good [AND] quaint [IMPLY] worrisome [PERIOD]
tender [AND] famous [IMPLY] amused [PERIOD]
modern [AND] homely [AND] fearless [IMPLY] elated [PERIOD]
fearless [AND] distinct [AND] lucky [IMPLY] ugliest [PERIOD]
zealous [AND] modern [IMPLY] ugliest [PERIOD]
elated [IMPLY] precious [PERIOD]
amused [AND] homely [IMPLY] fine [PERIOD]
light [AND] fragile [AND] exuberant [IMPLY] muddy [PERIOD]
innocent [AND] worrisome [IMPLY] homely [PERIOD]
frantic [AND] agreeable [IMPLY] fine [PERIOD]
good [IMPLY] ugliest [PERIOD]
light [IMPLY] good [PERIOD]
exuberant [IMPLY] worrisome [PERIOD]
popular [AND] frantic [AND] lucky [IMPLY] fearless [PERIOD]
zealous [AND] ugliest [IMPLY] distinct [PERIOD]
muddy [IMPLY] elated [PERIOD]
amused [AND] zealous [IMPLY] lucky [PERIOD]
famous [AND] frantic [IMPLY] quaint [PERIOD]
elated [AND] popular [IMPLY] precious [PERIOD]
fearless [AND] zealous [IMPLY] confident [PERIOD]
worrisome [IMPLY] quaint [PERIOD]
ugliest [AND] good [IMPLY] tender [PERIOD]
fragile [IMPLY] light [PERIOD]
worrisome [IMPLY] modern [PERIOD]
fragile [AND] modern [IMPLY] muddy [PERIOD]
fragile [AND] agreeable [AND] tender [IMPLY] frantic [PERIOD]
fearless [AND] worrisome [AND] ugliest [IMPLY] agreeable [PERIOD]
agreeable [AND] modern [IMPLY] confident [PERIOD]
fragile [AND] tender [AND] homely [IMPLY] good [PERIOD]
quaint [AND] lucky [AND] amused [IMPLY] agreeable [PERIOD]
modern [AND] precious [AND] good [IMPLY] tender [PERIOD]
tender [IMPLY] confident [PERIOD]
famous [AND] zealous [IMPLY] worrisome [PERIOD]
confident [AND] precious [AND] famous [IMPLY] tender [PERIOD]
worrisome [IMPLY] homely [PERIOD]
confident [AND] worrisome [AND] modern [IMPLY] exuberant [PERIOD]
modern [AND] worrisome [IMPLY] good [PERIOD]
good [AND] confident [AND] worrisome [IMPLY] innocent [PERIOD]
confident [AND] innocent [IMPLY] muddy [PERIOD]
zealous [AND] distinct [IMPLY] fearless [PERIOD]
lucky [AND] confident [AND] precious [IMPLY] good [PERIOD]
homely [AND] famous [IMPLY] precious [PERIOD]
amused [IMPLY] modern [PERIOD]
quaint [AND] agreeable [IMPLY] frantic [PERIOD]
muddy [AND] fragile [AND] quaint [IMPLY] lucky [PERIOD]
frantic [IMPLY] modern [PERIOD]
agreeable [AND] famous [AND] fragile [IMPLY] innocent [PERIOD]
famous [AND] homely [AND] ugliest [IMPLY] worrisome [PERIOD]
frantic [AND] innocent [IMPLY] homely [PERIOD]
tender [AND] muddy [AND] confident [IMPLY] fragile [PERIOD]
zealous [IMPLY] confident [PERIOD]
ugliest [AND] zealous [AND] muddy [IMPLY] confident [PERIOD]
worrisome [AND] good [IMPLY] exuberant [PERIOD]
elated [AND] frantic [IMPLY] quaint [PERIOD]
fragile [IMPLY] exuberant [PERIOD]
distinct [AND] fragile [IMPLY] amused [PERIOD]
agreeable [AND] good [AND] fragile [IMPLY] distinct [PERIOD]
tender [IMPLY] innocent [PERIOD]
innocent [AND] amused [IMPLY] elated [PERIOD]
ugliest [AND] modern [IMPLY] muddy [PERIOD]
fragile [AND] zealous [IMPLY] tender [PERIOD]
fine [AND] light [IMPLY] tender [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   ugliest ⇒ tender
   tender ⇒ confident
   confident ⇒ famous
   famous ⇒ lucky
",1,4
"Facts:  Alice is frantic [PERIOD] Alice is outstanding [PERIOD] Alice is selfish [PERIOD] Alice is condemned [PERIOD] Alice is gorgeous [PERIOD]
Rules:
frightened [AND] scared [IMPLY] helpless [PERIOD]
gorgeous [IMPLY] elated [PERIOD]
hypocritical [AND] elated [IMPLY] talented [PERIOD]
frightened [AND] selfish [AND] outstanding [IMPLY] broad-minded [PERIOD]
naughty [AND] reserved [AND] selfish [IMPLY] fearless [PERIOD]
talented [AND] gorgeous [AND] scared [IMPLY] aggressive [PERIOD]
selfish [AND] lucky [AND] gorgeous [IMPLY] condemned [PERIOD]
frightened [AND] frantic [IMPLY] fearless [PERIOD]
selfish [IMPLY] broad-minded [PERIOD]
frantic [AND] aggressive [IMPLY] talented [PERIOD]
elated [AND] reserved [IMPLY] lucky [PERIOD]
gorgeous [IMPLY] broad-minded [PERIOD]
talented [AND] broad-minded [AND] naughty [IMPLY] aggressive [PERIOD]
condemned [AND] frantic [AND] talented [IMPLY] helpless [PERIOD]
scared [IMPLY] frightened [PERIOD]
gorgeous [IMPLY] outstanding [PERIOD]
broad-minded [IMPLY] condemned [PERIOD]
selfish [AND] fearless [AND] broad-minded [IMPLY] frantic [PERIOD]
naughty [AND] fearless [AND] stormy [IMPLY] aggressive [PERIOD]
condemned [AND] talented [IMPLY] scared [PERIOD]
talented [AND] lucky [IMPLY] reserved [PERIOD]
frantic [AND] lucky [AND] naughty [IMPLY] stormy [PERIOD]
elated [IMPLY] fearless [PERIOD]
selfish [AND] broad-minded [IMPLY] frightened [PERIOD]
scared [AND] elated [IMPLY] outstanding [PERIOD]
talented [IMPLY] stormy [PERIOD]
lucky [AND] scared [IMPLY] helpless [PERIOD]
frightened [AND] talented [AND] stormy [IMPLY] reserved [PERIOD]
selfish [IMPLY] scared [PERIOD]
naughty [IMPLY] lucky [PERIOD]
aggressive [IMPLY] outstanding [PERIOD]
lucky [AND] elated [IMPLY] gorgeous [PERIOD]
frantic [IMPLY] aggressive [PERIOD]
scared [IMPLY] reserved [PERIOD]
broad-minded [IMPLY] elated [PERIOD]
elated [AND] reserved [AND] helpless [IMPLY] hypocritical [PERIOD]
gorgeous [AND] frightened [AND] stormy [IMPLY] frantic [PERIOD]
hypocritical [AND] lucky [AND] talented [IMPLY] frantic [PERIOD]
outstanding [AND] selfish [AND] condemned [IMPLY] frantic [PERIOD]
talented [AND] frantic [AND] stormy [IMPLY] selfish [PERIOD]
broad-minded [AND] gorgeous [AND] talented [IMPLY] elated [PERIOD]
naughty [AND] outstanding [IMPLY] frantic [PERIOD]
selfish [IMPLY] reserved [PERIOD]
gorgeous [IMPLY] lucky [PERIOD]
stormy [AND] frightened [IMPLY] reserved [PERIOD]
selfish [AND] talented [AND] gorgeous [IMPLY] broad-minded [PERIOD]
reserved [AND] condemned [IMPLY] selfish [PERIOD]
reserved [AND] condemned [IMPLY] gorgeous [PERIOD]
fearless [AND] lucky [IMPLY] aggressive [PERIOD]
lucky [IMPLY] condemned [PERIOD]
scared [AND] reserved [IMPLY] hypocritical [PERIOD]
gorgeous [AND] broad-minded [AND] fearless [IMPLY] frightened [PERIOD]
fearless [IMPLY] reserved [PERIOD]
condemned [AND] lucky [AND] outstanding [IMPLY] stormy [PERIOD]
stormy [IMPLY] scared [PERIOD]
fearless [IMPLY] frightened [PERIOD]
talented [IMPLY] reserved [PERIOD]
selfish [AND] aggressive [AND] fearless [IMPLY] outstanding [PERIOD]
frightened [AND] outstanding [IMPLY] talented [PERIOD]
scared [IMPLY] talented [PERIOD]
helpless [AND] reserved [IMPLY] broad-minded [PERIOD]
elated [AND] broad-minded [IMPLY] frightened [PERIOD]
fearless [AND] reserved [AND] lucky [IMPLY] condemned [PERIOD]
frightened [AND] broad-minded [IMPLY] condemned [PERIOD]
selfish [IMPLY] hypocritical [PERIOD]
elated [IMPLY] broad-minded [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
   selfish ⇒ reserved
",1,1
"Facts:  Alice is sensible [PERIOD] Alice is perfect [PERIOD] Alice is jittery [PERIOD] Alice is broad-minded [PERIOD] Alice is polite [PERIOD] Alice is vivacious [PERIOD]
Rules:
calm [AND] vivacious [AND] difficult [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] curious [PERIOD]
curious [AND] frail [AND] mysterious [IMPLY] thoughtless [PERIOD]
vivacious [IMPLY] hurt [PERIOD]
straightforward [IMPLY] hurt [PERIOD]
hurt [AND] curious [IMPLY] broad-minded [PERIOD]
mysterious [IMPLY] aggressive [PERIOD]
frail [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] frail [PERIOD]
polite [AND] worrisome [IMPLY] straightforward [PERIOD]
aggressive [AND] calm [AND] sensible [IMPLY] thoughtless [PERIOD]
hurt [IMPLY] popular [PERIOD]
vivacious [AND] frail [AND] calm [IMPLY] grumpy [PERIOD]
vivacious [AND] broad-minded [IMPLY] difficult [PERIOD]
calm [IMPLY] frail [PERIOD]
jittery [AND] perfect [AND] aggressive [IMPLY] frail [PERIOD]
perfect [IMPLY] vivacious [PERIOD]
straightforward [AND] difficult [AND] broad-minded [IMPLY] vivacious [PERIOD]
jittery [AND] mysterious [IMPLY] calm [PERIOD]
perfect [AND] frail [AND] worrisome [IMPLY] calm [PERIOD]
hurt [IMPLY] curious [PERIOD]
polite [AND] jittery [IMPLY] hurt [PERIOD]
jittery [AND] thoughtless [IMPLY] worrisome [PERIOD]
popular [AND] mysterious [AND] frail [IMPLY] calm [PERIOD]
excited [AND] thoughtless [AND] worrisome [IMPLY] difficult [PERIOD]
polite [AND] grumpy [AND] difficult [IMPLY] hurt [PERIOD]
jittery [AND] aggressive [AND] difficult [IMPLY] polite [PERIOD]
sensible [AND] polite [IMPLY] straightforward [PERIOD]
polite [AND] aggressive [AND] sensible [IMPLY] popular [PERIOD]
grumpy [IMPLY] sensible [PERIOD]
broad-minded [AND] jittery [IMPLY] sensible [PERIOD]
sensible [IMPLY] broad-minded [PERIOD]
mysterious [AND] sensible [IMPLY] polite [PERIOD]
popular [AND] excited [AND] broad-minded [IMPLY] frail [PERIOD]
worrisome [IMPLY] mysterious [PERIOD]
straightforward [IMPLY] grumpy [PERIOD]
mysterious [AND] difficult [AND] curious [IMPLY] worrisome [PERIOD]
difficult [AND] mysterious [AND] polite [IMPLY] straightforward [PERIOD]
difficult [AND] frail [IMPLY] thoughtless [PERIOD]
aggressive [AND] worrisome [IMPLY] straightforward [PERIOD]
hurt [AND] worrisome [AND] calm [IMPLY] mysterious [PERIOD]
polite [IMPLY] vivacious [PERIOD]
broad-minded [IMPLY] straightforward [PERIOD]
difficult [AND] broad-minded [IMPLY] hurt [PERIOD]
vivacious [AND] curious [IMPLY] hurt [PERIOD]
aggressive [IMPLY] jittery [PERIOD]
sensible [IMPLY] curious [PERIOD]
hurt [AND] frail [AND] popular [IMPLY] vivacious [PERIOD]
curious [AND] frail [IMPLY] mysterious [PERIOD]
jittery [IMPLY] perfect [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “mysterious ⇒ frail” because missing: mysterious.
   Cannot apply rule “calm ⇒ frail” because missing: calm.
   Cannot apply rule “jittery ∧ perfect ∧ aggressive ⇒ frail” because missing: aggressive.
   polite ∧ jittery ⇒ hurt
   hurt ⇒ popular
   Cannot apply rule “popular ∧ excited ∧ broad-minded ⇒ frail” because missing: excited.
",0,6
"Facts: 
Rules:
pleasant [IMPLY] cooperative [PERIOD]
rational [AND] tidy [AND] mysterious [IMPLY] cooperative [PERIOD]
blushing [AND] rational [IMPLY] muddy [PERIOD]
attractive [IMPLY] cute [PERIOD]
zealous [IMPLY] tired [PERIOD]
blushing [AND] homely [AND] different [IMPLY] attractive [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   Cannot apply rule “pleasant ⇒ cooperative” because missing: pleasant.
   Cannot apply rule “rational ∧ tidy ∧ mysterious ⇒ cooperative” because missing: rational, tidy, mysterious.
",0,2
"Facts:  Alice is crowded [PERIOD] Alice is old-fashioned [PERIOD] Alice is excited [PERIOD] Alice is busy [PERIOD] Alice is stormy [PERIOD]
Rules:
fine [AND] mean [AND] busy [IMPLY] excited [PERIOD]
stupid [IMPLY] fancy [PERIOD]
excited [AND] tender [AND] fine [IMPLY] impartial [PERIOD]
elated [IMPLY] old-fashioned [PERIOD]
confident [AND] ambitious [AND] jittery [IMPLY] elated [PERIOD]
stupid [AND] alert [AND] fearless [IMPLY] tame [PERIOD]
alert [IMPLY] mean [PERIOD]
mean [AND] anxious [IMPLY] selfish [PERIOD]
stupid [AND] innocent [IMPLY] courageous [PERIOD]
crowded [IMPLY] ambitious [PERIOD]
easy [IMPLY] calm [PERIOD]
tame [AND] silly [IMPLY] long [PERIOD]
crowded [AND] impartial [AND] selfish [IMPLY] silly [PERIOD]
excited [IMPLY] tender [PERIOD]
long [IMPLY] crowded [PERIOD]
stupid [IMPLY] fearless [PERIOD]
crowded [AND] silly [AND] excited [IMPLY] straightforward [PERIOD]
stormy [AND] mean [IMPLY] tender [PERIOD]
silly [IMPLY] courageous [PERIOD]
mean [AND] friendly [AND] selfish [IMPLY] stupid [PERIOD]
long [IMPLY] jittery [PERIOD]
stupid [AND] silly [IMPLY] long [PERIOD]
alert [AND] stupid [IMPLY] selfish [PERIOD]
selfish [AND] calm [IMPLY] friendly [PERIOD]
fancy [IMPLY] stormy [PERIOD]
confident [AND] selfish [AND] anxious [IMPLY] elated [PERIOD]
innocent [AND] courageous [AND] ambitious [IMPLY] anxious [PERIOD]
ambitious [IMPLY] innocent [PERIOD]
crowded [AND] selfish [IMPLY] confident [PERIOD]
stormy [AND] excited [IMPLY] straightforward [PERIOD]
silly [AND] jittery [IMPLY] mean [PERIOD]
busy [IMPLY] tame [PERIOD]
elated [IMPLY] courageous [PERIOD]
confident [IMPLY] innocent [PERIOD]
fancy [IMPLY] impartial [PERIOD]
fancy [AND] long [IMPLY] stormy [PERIOD]
innocent [AND] busy [AND] silly [IMPLY] impartial [PERIOD]
fancy [AND] tame [AND] excited [IMPLY] innocent [PERIOD]
courageous [AND] easy [IMPLY] alert [PERIOD]
mean [IMPLY] excited [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   excited ⇒ tender
   Cannot apply rule “excited ∧ tender ∧ fine ⇒ impartial” because missing: fine.
   Cannot apply rule “fancy ⇒ impartial” because missing: fancy.
   crowded ⇒ ambitious
   ambitious ⇒ innocent
   Cannot apply rule “innocent ∧ busy ∧ silly ⇒ impartial” because missing: silly.
",0,6
"Facts: 
Rules:
gifted [IMPLY] wrong [PERIOD]
confident [AND] exuberant [AND] gifted [IMPLY] friendly [PERIOD]
gifted [AND] wrong [AND] uptight [IMPLY] friendly [PERIOD]
uptight [AND] wrong [IMPLY] confident [PERIOD]
uptight [AND] fearless [IMPLY] mean [PERIOD]
wrong [AND] gifted [AND] mean [IMPLY] confident [PERIOD]
mean [IMPLY] confident [PERIOD]
mean [IMPLY] friendly [PERIOD]
confident [IMPLY] fearless [PERIOD]
friendly [AND] wrong [AND] uptight [IMPLY] gifted [PERIOD]
confident [IMPLY] uptight [PERIOD]
wrong [IMPLY] exuberant [PERIOD]
friendly [AND] mean [IMPLY] wrong [PERIOD]
fearless [AND] exuberant [IMPLY] wrong [PERIOD]
gifted [AND] mean [AND] wrong [IMPLY] fearless [PERIOD]
mean [AND] wrong [IMPLY] exuberant [PERIOD]
fearless [AND] gifted [AND] confident [IMPLY] wrong [PERIOD]
mean [AND] wrong [IMPLY] friendly [PERIOD]
exuberant [AND] mean [AND] fearless [IMPLY] wrong [PERIOD]
confident [IMPLY] mean [PERIOD]
confident [AND] gifted [AND] mean [IMPLY] uptight [PERIOD]
wrong [AND] fearless [AND] gifted [IMPLY] mean [PERIOD]
friendly [IMPLY] fearless [PERIOD]
friendly [AND] uptight [AND] confident [IMPLY] fearless [PERIOD]
fearless [IMPLY] uptight [PERIOD]
gifted [AND] confident [IMPLY] wrong [PERIOD]
exuberant [AND] confident [AND] friendly [IMPLY] mean [PERIOD]
mean [AND] friendly [AND] fearless [IMPLY] gifted [PERIOD]
wrong [AND] uptight [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] gifted [PERIOD]
confident [AND] uptight [IMPLY] friendly [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   Cannot apply rule “confident ∧ exuberant ∧ gifted ⇒ friendly” because missing: confident, exuberant, gifted.
   Cannot apply rule “gifted ∧ wrong ∧ uptight ⇒ friendly” because missing: gifted, wrong, uptight.
   Cannot apply rule “mean ⇒ friendly” because missing: mean.
   Cannot apply rule “mean ∧ wrong ⇒ friendly” because missing: mean, wrong.
   Cannot apply rule “confident ∧ uptight ⇒ friendly” because missing: confident, uptight.
",0,5
"Facts:  Alice is cooperative [PERIOD] Alice is tender [PERIOD] Alice is rational [PERIOD] Alice is frightened [PERIOD] Alice is difficult [PERIOD] Alice is mysterious [PERIOD]
Rules:
ugly [AND] wandering [IMPLY] tender [PERIOD]
sensible [IMPLY] cooperative [PERIOD]
disobedient [AND] mysterious [AND] tender [IMPLY] polite [PERIOD]
busy [AND] wandering [AND] tender [IMPLY] mysterious [PERIOD]
sensible [IMPLY] mysterious [PERIOD]
mysterious [AND] worrisome [AND] adorable [IMPLY] sensible [PERIOD]
polite [AND] worrisome [IMPLY] bored [PERIOD]
tender [AND] fancy [IMPLY] sensible [PERIOD]
sensible [IMPLY] fancy [PERIOD]
rational [AND] bored [AND] fancy [IMPLY] adorable [PERIOD]
disobedient [AND] bored [AND] busy [IMPLY] cooperative [PERIOD]
ugly [AND] fancy [AND] worrisome [IMPLY] busy [PERIOD]
disobedient [AND] busy [AND] polite [IMPLY] ugly [PERIOD]
frightened [IMPLY] polite [PERIOD]
polite [AND] fancy [AND] disobedient [IMPLY] ugly [PERIOD]
worrisome [AND] fancy [IMPLY] nervous [PERIOD]
worrisome [AND] ugly [AND] mysterious [IMPLY] wandering [PERIOD]
sensible [AND] difficult [AND] polite [IMPLY] busy [PERIOD]
bored [AND] rational [IMPLY] adorable [PERIOD]
nervous [AND] sensible [AND] rational [IMPLY] disobedient [PERIOD]
worrisome [AND] disobedient [IMPLY] fancy [PERIOD]
tender [AND] nervous [AND] bored [IMPLY] adorable [PERIOD]
busy [IMPLY] tender [PERIOD]
mysterious [IMPLY] polite [PERIOD]
adorable [AND] tender [AND] fancy [IMPLY] cooperative [PERIOD]
disobedient [IMPLY] wandering [PERIOD]
worrisome [IMPLY] sensible [PERIOD]
cooperative [AND] fancy [IMPLY] disobedient [PERIOD]
wandering [AND] cooperative [IMPLY] ugly [PERIOD]
cooperative [AND] wandering [AND] mysterious [IMPLY] rational [PERIOD]
rational [AND] frightened [AND] nervous [IMPLY] worrisome [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   Cannot apply rule “mysterious ∧ worrisome ∧ adorable ⇒ sensible” because missing: worrisome, adorable.
   Cannot apply rule “tender ∧ fancy ⇒ sensible” because missing: fancy.
   Cannot apply rule “worrisome ⇒ sensible” because missing: worrisome.
",0,3
"Facts:  Alice is shy [PERIOD] Alice is combative [PERIOD] Alice is inquisitive [PERIOD] Alice is serious [PERIOD] Alice is blushing [PERIOD] Alice is horrible [PERIOD] Alice is frantic [PERIOD] Alice is pessimistic [PERIOD] Alice is bright [PERIOD] Alice is good [PERIOD] Alice is scared [PERIOD]
Rules:
agreeable [AND] scared [IMPLY] bright [PERIOD]
condemned [AND] good [IMPLY] agreeable [PERIOD]
horrible [IMPLY] shy [PERIOD]
inquisitive [AND] horrible [IMPLY] agreeable [PERIOD]
shy [AND] pessimistic [IMPLY] good [PERIOD]
bad-tempered [AND] blushing [AND] cute [IMPLY] shy [PERIOD]
serious [AND] pessimistic [AND] inquisitive [IMPLY] good [PERIOD]
bad-tempered [AND] serious [IMPLY] shy [PERIOD]
agreeable [IMPLY] bad-tempered [PERIOD]
pessimistic [AND] serious [IMPLY] bright [PERIOD]
horrible [AND] blushing [IMPLY] agreeable [PERIOD]
scared [AND] serious [AND] good [IMPLY] shy [PERIOD]
bright [AND] cute [AND] combative [IMPLY] serious [PERIOD]
pessimistic [AND] frantic [IMPLY] horrible [PERIOD]
frantic [AND] good [AND] inquisitive [IMPLY] blushing [PERIOD]
good [AND] condemned [IMPLY] inquisitive [PERIOD]
shy [AND] bad-tempered [IMPLY] bright [PERIOD]
cute [AND] combative [IMPLY] scared [PERIOD]
blushing [IMPLY] good [PERIOD]
condemned [IMPLY] horrible [PERIOD]
combative [AND] bad-tempered [AND] shy [IMPLY] condemned [PERIOD]
condemned [IMPLY] blushing [PERIOD]
combative [AND] inquisitive [IMPLY] serious [PERIOD]
shy [AND] agreeable [AND] combative [IMPLY] bright [PERIOD]
shy [IMPLY] combative [PERIOD]
combative [IMPLY] shy [PERIOD]
condemned [AND] bright [IMPLY] blushing [PERIOD]
scared [AND] frantic [AND] shy [IMPLY] bright [PERIOD]
pessimistic [IMPLY] good [PERIOD]
combative [AND] pessimistic [AND] condemned [IMPLY] blushing [PERIOD]
cute [AND] blushing [AND] frantic [IMPLY] bright [PERIOD]
shy [AND] bright [IMPLY] horrible [PERIOD]
blushing [AND] bad-tempered [AND] good [IMPLY] shy [PERIOD]
agreeable [AND] condemned [IMPLY] cute [PERIOD]
horrible [IMPLY] inquisitive [PERIOD]
scared [AND] shy [AND] cute [IMPLY] bad-tempered [PERIOD]
pessimistic [IMPLY] blushing [PERIOD]
frantic [IMPLY] pessimistic [PERIOD]
serious [IMPLY] condemned [PERIOD]
horrible [AND] bright [AND] cute [IMPLY] scared [PERIOD]
good [IMPLY] serious [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   horrible ∧ blushing ⇒ agreeable
   serious ⇒ condemned
   agreeable ∧ condemned ⇒ cute
",1,3
"Facts:  Alice is sensible [PERIOD] Alice is agreeable [PERIOD] Alice is foolish [PERIOD] Alice is hypocritical [PERIOD] Alice is polite [PERIOD]
Rules:
good [IMPLY] intellectual [PERIOD]
proud [IMPLY] worrisome [PERIOD]
adorable [IMPLY] good [PERIOD]
zealous [IMPLY] nervous [PERIOD]
enchanting [AND] versatile [AND] worrisome [IMPLY] adorable [PERIOD]
innocent [IMPLY] foolish [PERIOD]
confident [AND] polite [AND] intellectual [IMPLY] condemned [PERIOD]
beautiful [AND] worried [IMPLY] careless [PERIOD]
polite [AND] condemned [AND] uptight [IMPLY] versatile [PERIOD]
worried [IMPLY] clean [PERIOD]
uptight [AND] innocent [AND] gorgeous [IMPLY] beautiful [PERIOD]
proud [AND] clean [AND] worried [IMPLY] enchanting [PERIOD]
ugly [IMPLY] adorable [PERIOD]
polite [AND] agreeable [IMPLY] zealous [PERIOD]
hypocritical [IMPLY] nervous [PERIOD]
uptight [AND] gorgeous [AND] condemned [IMPLY] intellectual [PERIOD]
clean [IMPLY] distinct [PERIOD]
worried [AND] worrisome [AND] zealous [IMPLY] intellectual [PERIOD]
worried [IMPLY] uptight [PERIOD]
beautiful [AND] confident [AND] good [IMPLY] thoughtless [PERIOD]
nervous [IMPLY] agreeable [PERIOD]
foolish [IMPLY] distinct [PERIOD]
witty [IMPLY] careless [PERIOD]
worried [IMPLY] nervous [PERIOD]
agreeable [AND] hypocritical [IMPLY] polite [PERIOD]
cruel [AND] gorgeous [IMPLY] condemned [PERIOD]
uptight [IMPLY] intellectual [PERIOD]
gorgeous [AND] witty [AND] polite [IMPLY] intellectual [PERIOD]
sensible [IMPLY] proud [PERIOD]
uptight [AND] enchanting [AND] hypocritical [IMPLY] condemned [PERIOD]
distinct [AND] witty [IMPLY] agreeable [PERIOD]
good [AND] confident [AND] ugly [IMPLY] thoughtless [PERIOD]
versatile [IMPLY] nervous [PERIOD]
distinct [IMPLY] polite [PERIOD]
confident [IMPLY] foolish [PERIOD]
cruel [IMPLY] sensible [PERIOD]
uptight [AND] ugly [IMPLY] distinct [PERIOD]
versatile [AND] polite [AND] hypocritical [IMPLY] witty [PERIOD]
proud [AND] clean [AND] worrisome [IMPLY] good [PERIOD]
enchanting [IMPLY] proud [PERIOD]
thoughtless [AND] witty [IMPLY] agreeable [PERIOD]
ugly [IMPLY] gorgeous [PERIOD]
distinct [AND] worrisome [IMPLY] clean [PERIOD]
adorable [AND] uptight [IMPLY] gorgeous [PERIOD]
uptight [IMPLY] hypocritical [PERIOD]
condemned [AND] agreeable [IMPLY] worrisome [PERIOD]
zealous [AND] worrisome [AND] good [IMPLY] polite [PERIOD]
uptight [AND] good [IMPLY] thoughtless [PERIOD]
confident [IMPLY] agreeable [PERIOD]
innocent [AND] condemned [AND] foolish [IMPLY] versatile [PERIOD]
cruel [AND] proud [AND] hypocritical [IMPLY] nervous [PERIOD]
distinct [IMPLY] hypocritical [PERIOD]
careless [AND] clean [AND] foolish [IMPLY] good [PERIOD]
worried [AND] agreeable [IMPLY] foolish [PERIOD]
beautiful [AND] hypocritical [IMPLY] ugly [PERIOD]
adorable [IMPLY] thoughtless [PERIOD]
beautiful [AND] foolish [IMPLY] uptight [PERIOD]
confident [AND] foolish [AND] cruel [IMPLY] sensible [PERIOD]
careless [AND] beautiful [IMPLY] innocent [PERIOD]
sensible [AND] worrisome [AND] versatile [IMPLY] thoughtless [PERIOD]
ugly [IMPLY] distinct [PERIOD]
nervous [IMPLY] adorable [PERIOD]
ugly [AND] enchanting [AND] polite [IMPLY] cruel [PERIOD]
agreeable [AND] hypocritical [IMPLY] intellectual [PERIOD]
confident [AND] beautiful [AND] condemned [IMPLY] worrisome [PERIOD]
enchanting [AND] thoughtless [AND] sensible [IMPLY] polite [PERIOD]
proud [AND] thoughtless [IMPLY] distinct [PERIOD]
careless [AND] agreeable [IMPLY] thoughtless [PERIOD]
good [AND] worrisome [IMPLY] sensible [PERIOD]
hypocritical [AND] thoughtless [IMPLY] beautiful [PERIOD]
clean [AND] careless [IMPLY] nervous [PERIOD]
nervous [AND] confident [AND] sensible [IMPLY] uptight [PERIOD]
sensible [AND] enchanting [IMPLY] beautiful [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   hypocritical ⇒ nervous
   nervous ⇒ adorable
   adorable ⇒ thoughtless
",1,3
"Facts:  Alice is curious [PERIOD] Alice is charming [PERIOD] Alice is fancy [PERIOD] Alice is troubled [PERIOD] Alice is messy [PERIOD] Alice is light [PERIOD]
Rules:
friendly [AND] popular [IMPLY] combative [PERIOD]
curious [AND] fancy [AND] frail [IMPLY] light [PERIOD]
curious [AND] fancy [AND] disgusted [IMPLY] troubled [PERIOD]
light [AND] tidy [IMPLY] difficult [PERIOD]
dishonest [AND] fancy [AND] frail [IMPLY] reserved [PERIOD]
diplomatic [AND] disobedient [IMPLY] popular [PERIOD]
diplomatic [AND] serious [IMPLY] charming [PERIOD]
charming [AND] popular [AND] dishonest [IMPLY] light [PERIOD]
fancy [IMPLY] curious [PERIOD]
curious [IMPLY] fearless [PERIOD]
dishonest [IMPLY] disgusted [PERIOD]
fearless [AND] careless [IMPLY] messy [PERIOD]
careless [AND] helpless [IMPLY] disgusted [PERIOD]
charming [IMPLY] frail [PERIOD]
messy [IMPLY] light [PERIOD]
charming [IMPLY] popular [PERIOD]
reserved [AND] serious [AND] disobedient [IMPLY] combative [PERIOD]
charming [AND] combative [IMPLY] crowded [PERIOD]
charming [AND] frail [IMPLY] serious [PERIOD]
curious [IMPLY] disobedient [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   Cannot apply rule “light ∧ tidy ⇒ difficult” because missing: tidy.
",0,1
"Facts:  Alice is frightened [PERIOD] Alice is disgusted [PERIOD]
Rules:
curious [IMPLY] friendly [PERIOD]
dishonest [AND] alert [AND] amused [IMPLY] disgusted [PERIOD]
friendly [AND] amused [IMPLY] dishonest [PERIOD]
amused [AND] tame [IMPLY] dishonest [PERIOD]
disgusted [IMPLY] good [PERIOD]
tame [IMPLY] dishonest [PERIOD]
tame [AND] disgusted [AND] alert [IMPLY] amused [PERIOD]
alert [AND] disgusted [IMPLY] curious [PERIOD]
dishonest [IMPLY] amused [PERIOD]
amused [AND] tame [IMPLY] disgusted [PERIOD]
friendly [AND] curious [IMPLY] frightened [PERIOD]
alert [AND] dishonest [AND] tame [IMPLY] good [PERIOD]
alert [AND] curious [IMPLY] good [PERIOD]
disgusted [AND] curious [AND] frightened [IMPLY] alert [PERIOD]
disgusted [AND] good [AND] friendly [IMPLY] alert [PERIOD]
curious [IMPLY] dishonest [PERIOD]
friendly [IMPLY] tame [PERIOD]
disgusted [AND] dishonest [AND] frightened [IMPLY] good [PERIOD]
friendly [IMPLY] disgusted [PERIOD]
alert [AND] frightened [IMPLY] disgusted [PERIOD]
good [AND] dishonest [IMPLY] alert [PERIOD]
tame [AND] alert [AND] good [IMPLY] curious [PERIOD]
dishonest [AND] curious [IMPLY] disgusted [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   Cannot apply rule “disgusted ∧ curious ∧ frightened ⇒ alert” because missing: curious.
   disgusted ⇒ good
   Cannot apply rule “disgusted ∧ good ∧ friendly ⇒ alert” because missing: friendly.
   disgusted ⇒ good
   Cannot apply rule “good ∧ dishonest ⇒ alert” because missing: dishonest.
",0,5
"Facts:  Alice is dishonest [PERIOD]
Rules:
shy [AND] dishonest [IMPLY] busy [PERIOD]
muddy [IMPLY] supportive [PERIOD]
strange [IMPLY] gleaming [PERIOD]
average [IMPLY] helpful [PERIOD]
zealous [IMPLY] strange [PERIOD]
outstanding [AND] good [AND] muddy [IMPLY] gleaming [PERIOD]
helpful [IMPLY] excited [PERIOD]
good [AND] elated [IMPLY] supportive [PERIOD]
dishonest [AND] muddy [IMPLY] inquisitive [PERIOD]
muddy [AND] fancy [IMPLY] gleaming [PERIOD]
busy [AND] rational [AND] supportive [IMPLY] strange [PERIOD]
combative [AND] powerful [IMPLY] dishonest [PERIOD]
zealous [AND] average [AND] dishonest [IMPLY] broad-minded [PERIOD]
rational [AND] shy [IMPLY] broad-minded [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   No rule concludes “elated.”
",0,1
"Facts:  Alice is naughty [PERIOD]
Rules:
muddy [AND] innocent [AND] naughty [IMPLY] light [PERIOD]
naughty [AND] light [IMPLY] ugly [PERIOD]
ambitious [AND] helpful [IMPLY] innocent [PERIOD]
helpful [AND] vivacious [IMPLY] adorable [PERIOD]
muddy [IMPLY] powerful [PERIOD]
innocent [AND] naughty [AND] adorable [IMPLY] ugly [PERIOD]
vivacious [AND] naughty [IMPLY] ugly [PERIOD]
powerful [AND] light [IMPLY] vivacious [PERIOD]
muddy [IMPLY] helpful [PERIOD]
vivacious [AND] light [IMPLY] muddy [PERIOD]
adorable [IMPLY] light [PERIOD]
innocent [IMPLY] ambitious [PERIOD]
vivacious [AND] ugly [IMPLY] innocent [PERIOD]
naughty [IMPLY] muddy [PERIOD]
powerful [IMPLY] helpful [PERIOD]
powerful [AND] light [IMPLY] ambitious [PERIOD]
helpful [IMPLY] ugly [PERIOD]
innocent [AND] vivacious [IMPLY] muddy [PERIOD]
adorable [AND] powerful [IMPLY] vivacious [PERIOD]
muddy [AND] helpful [IMPLY] innocent [PERIOD]
ambitious [AND] helpful [IMPLY] muddy [PERIOD]
vivacious [IMPLY] powerful [PERIOD]
muddy [AND] helpful [AND] powerful [IMPLY] naughty [PERIOD]
muddy [AND] adorable [IMPLY] innocent [PERIOD]
naughty [AND] adorable [IMPLY] ambitious [PERIOD]
powerful [AND] muddy [IMPLY] ugly [PERIOD]
naughty [AND] ambitious [IMPLY] light [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   naughty ⇒ muddy
   muddy ⇒ helpful
   helpful ⇒ ugly
",1,3
"Facts:  Alice is worried [PERIOD] Alice is messy [PERIOD] Alice is confused [PERIOD] Alice is loving [PERIOD] Alice is embarrassed [PERIOD] Alice is precious [PERIOD] Alice is easy [PERIOD]
Rules:
thoughtless [AND] worried [AND] bossy [IMPLY] easy [PERIOD]
talented [AND] wide-eyed [IMPLY] plain [PERIOD]
curious [AND] tame [AND] condemned [IMPLY] thoughtless [PERIOD]
scared [AND] tender [IMPLY] unpleasant [PERIOD]
naughty [IMPLY] scared [PERIOD]
tender [AND] curious [AND] easy [IMPLY] confused [PERIOD]
easy [AND] confused [AND] worried [IMPLY] bossy [PERIOD]
wide-eyed [IMPLY] thoughtless [PERIOD]
condemned [AND] wrong [AND] sincere [IMPLY] tender [PERIOD]
curious [IMPLY] tame [PERIOD]
messy [AND] wrong [IMPLY] clumsy [PERIOD]
talented [AND] wrong [IMPLY] clumsy [PERIOD]
zealous [AND] messy [AND] plain [IMPLY] loving [PERIOD]
worried [IMPLY] talented [PERIOD]
clumsy [AND] talented [AND] confused [IMPLY] wide-eyed [PERIOD]
easy [AND] precious [AND] tame [IMPLY] wide-eyed [PERIOD]
worried [AND] confused [AND] naughty [IMPLY] tender [PERIOD]
messy [IMPLY] naughty [PERIOD]
talented [AND] loving [IMPLY] worried [PERIOD]
condemned [IMPLY] confused [PERIOD]
zealous [AND] unpleasant [IMPLY] wrong [PERIOD]
naughty [AND] zealous [AND] unpleasant [IMPLY] messy [PERIOD]
messy [IMPLY] condemned [PERIOD]
tender [AND] confused [IMPLY] thoughtless [PERIOD]
messy [AND] loving [AND] wrong [IMPLY] wide-eyed [PERIOD]
plain [AND] thoughtless [AND] messy [IMPLY] confused [PERIOD]
scared [AND] curious [IMPLY] messy [PERIOD]
naughty [AND] condemned [IMPLY] bossy [PERIOD]
zealous [AND] plain [IMPLY] wrong [PERIOD]
tame [AND] embarrassed [AND] clumsy [IMPLY] naughty [PERIOD]
precious [AND] talented [AND] unpleasant [IMPLY] curious [PERIOD]
messy [AND] clumsy [IMPLY] bossy [PERIOD]
clumsy [AND] precious [AND] naughty [IMPLY] condemned [PERIOD]
condemned [IMPLY] talented [PERIOD]
plain [IMPLY] unpleasant [PERIOD]
precious [IMPLY] wrong [PERIOD]
worried [IMPLY] scared [PERIOD]
tender [IMPLY] worried [PERIOD]
talented [IMPLY] condemned [PERIOD]
confused [AND] unpleasant [IMPLY] loving [PERIOD]
naughty [AND] talented [AND] plain [IMPLY] wrong [PERIOD]
embarrassed [IMPLY] tame [PERIOD]
thoughtless [AND] confused [AND] precious [IMPLY] sincere [PERIOD]
embarrassed [IMPLY] sincere [PERIOD]
tender [IMPLY] confused [PERIOD]
easy [AND] tame [AND] curious [IMPLY] wide-eyed [PERIOD]
talented [AND] thoughtless [AND] confused [IMPLY] scared [PERIOD]
embarrassed [IMPLY] confused [PERIOD]
thoughtless [AND] embarrassed [AND] loving [IMPLY] clumsy [PERIOD]
wide-eyed [AND] naughty [IMPLY] loving [PERIOD]
unpleasant [IMPLY] zealous [PERIOD]
easy [AND] messy [AND] wide-eyed [IMPLY] sincere [PERIOD]
confused [IMPLY] zealous [PERIOD]
clumsy [AND] loving [IMPLY] unpleasant [PERIOD]
plain [AND] messy [AND] clumsy [IMPLY] condemned [PERIOD]
clumsy [IMPLY] unpleasant [PERIOD]
thoughtless [AND] sincere [IMPLY] talented [PERIOD]
loving [AND] precious [IMPLY] scared [PERIOD]
zealous [IMPLY] clumsy [PERIOD]
messy [IMPLY] sincere [PERIOD]
embarrassed [AND] naughty [AND] scared [IMPLY] zealous [PERIOD]
worried [AND] wrong [AND] wide-eyed [IMPLY] zealous [PERIOD]
talented [AND] wide-eyed [AND] naughty [IMPLY] precious [PERIOD]
wide-eyed [AND] messy [AND] scared [IMPLY] easy [PERIOD]
tender [AND] naughty [IMPLY] plain [PERIOD]
wide-eyed [AND] tender [IMPLY] scared [PERIOD]
confused [IMPLY] clumsy [PERIOD]
zealous [AND] naughty [IMPLY] loving [PERIOD]
scared [AND] tender [AND] loving [IMPLY] condemned [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   confused ⇒ clumsy
   clumsy ∧ loving ⇒ unpleasant
",1,2
"Facts: 
Rules:
fearless [AND] talkative [IMPLY] precious [PERIOD]
talkative [IMPLY] precious [PERIOD]
smart [IMPLY] fearless [PERIOD]
precious [IMPLY] smart [PERIOD]
fearless [IMPLY] smart [PERIOD]
plain [AND] vivacious [IMPLY] precious [PERIOD]
fearless [AND] precious [IMPLY] plain [PERIOD]
smart [AND] talkative [AND] plain [IMPLY] vivacious [PERIOD]
precious [AND] smart [AND] talkative [IMPLY] fearless [PERIOD]
vivacious [AND] precious [IMPLY] smart [PERIOD]
plain [IMPLY] talkative [PERIOD]
smart [AND] precious [IMPLY] vivacious [PERIOD]
talkative [AND] fearless [AND] smart [IMPLY] precious [PERIOD]
precious [AND] talkative [AND] plain [IMPLY] fearless [PERIOD]
fearless [AND] smart [IMPLY] talkative [PERIOD]
precious [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] precious [PERIOD]
plain [AND] smart [IMPLY] fearless [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   Cannot apply rule “smart ⇒ fearless” because missing: smart.
   Cannot apply rule “precious ∧ smart ∧ talkative ⇒ fearless” because missing: precious, smart, talkative.
   Cannot apply rule “precious ∧ talkative ∧ plain ⇒ fearless” because missing: precious, talkative, plain.
   Cannot apply rule “plain ∧ smart ⇒ fearless” because missing: plain, smart.
",0,4
"Facts:  Alice is spotless [PERIOD]
Rules:
cute [AND] disobedient [AND] amused [IMPLY] embarrassed [PERIOD]
distinct [AND] embarrassed [IMPLY] cute [PERIOD]
embarrassed [AND] cute [IMPLY] serious [PERIOD]
spotless [IMPLY] distinct [PERIOD]
spotless [IMPLY] cute [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   spotless ⇒ cute
   Cannot apply rule “cute ∧ disobedient ∧ amused ⇒ embarrassed” because missing: disobedient, amused.
",0,2
"Facts:  Alice is shy [PERIOD] Alice is troubled [PERIOD] Alice is fearless [PERIOD]
Rules:
troubled [IMPLY] fearless [PERIOD]
horrible [AND] thoughtless [IMPLY] fearless [PERIOD]
troubled [AND] fearless [IMPLY] thoughtless [PERIOD]
popular [AND] thoughtless [IMPLY] horrible [PERIOD]
thoughtless [IMPLY] horrible [PERIOD]
fearless [AND] troubled [IMPLY] shy [PERIOD]
popular [AND] fearless [IMPLY] shy [PERIOD]
popular [AND] horrible [IMPLY] fearless [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   troubled ∧ fearless ⇒ thoughtless
",1,1
"Facts:  Alice is tidy [PERIOD]
Rules:
confused [IMPLY] plain [PERIOD]
perfect [AND] impartial [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] impartial [PERIOD]
confused [AND] grumpy [IMPLY] courageous [PERIOD]
powerful [AND] grumpy [IMPLY] confused [PERIOD]
plain [AND] polite [AND] courageous [IMPLY] confused [PERIOD]
polite [IMPLY] confused [PERIOD]
courageous [AND] plain [AND] clean [IMPLY] impartial [PERIOD]
perfect [AND] tidy [IMPLY] clean [PERIOD]
tidy [AND] courageous [AND] confused [IMPLY] plain [PERIOD]
clean [IMPLY] perfect [PERIOD]
tidy [AND] powerful [AND] polite [IMPLY] courageous [PERIOD]
impartial [AND] courageous [AND] plain [IMPLY] clean [PERIOD]
grumpy [AND] plain [IMPLY] powerful [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   Cannot apply rule “grumpy ⇒ impartial” because missing: grumpy.
   Cannot apply rule “courageous ∧ plain ∧ clean ⇒ impartial” because missing: courageous, plain, clean.
",0,2
"Facts:  Alice is stupid [PERIOD]
Rules:
fancy [AND] horrible [IMPLY] comfortable [PERIOD]
powerful [IMPLY] rude [PERIOD]
fancy [AND] rude [AND] vivacious [IMPLY] talkative [PERIOD]
vivacious [IMPLY] rude [PERIOD]
horrible [AND] comfortable [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] talkative [PERIOD]
rude [AND] powerful [AND] talkative [IMPLY] comfortable [PERIOD]
stupid [AND] fancy [AND] comfortable [IMPLY] horrible [PERIOD]
fancy [AND] rude [IMPLY] stupid [PERIOD]
comfortable [IMPLY] fancy [PERIOD]
rude [AND] fancy [IMPLY] vivacious [PERIOD]
rude [AND] vivacious [AND] comfortable [IMPLY] powerful [PERIOD]
vivacious [AND] stupid [AND] powerful [IMPLY] comfortable [PERIOD]
talkative [IMPLY] fancy [PERIOD]
talkative [IMPLY] vivacious [PERIOD]
horrible [AND] comfortable [IMPLY] fancy [PERIOD]
horrible [IMPLY] vivacious [PERIOD]
powerful [AND] rude [AND] talkative [IMPLY] vivacious [PERIOD]
talkative [AND] fancy [AND] horrible [IMPLY] powerful [PERIOD]
fancy [IMPLY] powerful [PERIOD]
horrible [AND] vivacious [AND] talkative [IMPLY] fancy [PERIOD]
vivacious [AND] rude [AND] comfortable [IMPLY] fancy [PERIOD]
fancy [AND] talkative [AND] stupid [IMPLY] comfortable [PERIOD]
rude [IMPLY] powerful [PERIOD]
stupid [AND] talkative [AND] rude [IMPLY] comfortable [PERIOD]
powerful [AND] horrible [IMPLY] talkative [PERIOD]
vivacious [AND] comfortable [IMPLY] powerful [PERIOD]
rude [AND] stupid [IMPLY] horrible [PERIOD]
talkative [AND] rude [IMPLY] powerful [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   Cannot apply rule “stupid ∧ fancy ∧ comfortable ⇒ horrible” because missing: fancy, comfortable.
   Cannot apply rule “rude ∧ stupid ⇒ horrible” because missing: rude.
",0,2
"Facts:  Alice is silly [PERIOD] Alice is sincere [PERIOD]
Rules:
clumsy [AND] beautiful [IMPLY] witty [PERIOD]
sincere [AND] clumsy [IMPLY] witty [PERIOD]
sincere [AND] mean [AND] witty [IMPLY] silly [PERIOD]
confident [AND] clumsy [AND] witty [IMPLY] impatient [PERIOD]
loving [IMPLY] impatient [PERIOD]
sincere [IMPLY] beautiful [PERIOD]
confident [IMPLY] loving [PERIOD]
impatient [AND] loving [AND] witty [IMPLY] silly [PERIOD]
witty [AND] confident [AND] loving [IMPLY] beautiful [PERIOD]
confident [AND] impatient [IMPLY] clumsy [PERIOD]
inexpensive [AND] witty [AND] sincere [IMPLY] clumsy [PERIOD]
beautiful [AND] sincere [AND] inexpensive [IMPLY] loving [PERIOD]
loving [AND] witty [AND] silly [IMPLY] impatient [PERIOD]
confident [IMPLY] beautiful [PERIOD]
silly [AND] clumsy [IMPLY] loving [PERIOD]
silly [AND] impatient [AND] beautiful [IMPLY] clumsy [PERIOD]
loving [AND] clumsy [AND] silly [IMPLY] confident [PERIOD]
inexpensive [IMPLY] witty [PERIOD]
mean [IMPLY] witty [PERIOD]
mean [AND] sincere [IMPLY] confident [PERIOD]
beautiful [AND] sincere [AND] witty [IMPLY] impatient [PERIOD]
loving [AND] witty [AND] impatient [IMPLY] sincere [PERIOD]
impatient [IMPLY] loving [PERIOD]
witty [AND] impatient [AND] confident [IMPLY] loving [PERIOD]
clumsy [AND] inexpensive [AND] impatient [IMPLY] confident [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   Cannot apply rule “confident ⇒ loving” because missing: confident.
   sincere ⇒ beautiful
   Cannot apply rule “beautiful ∧ sincere ∧ inexpensive ⇒ loving” because missing: inexpensive.
   Cannot apply rule “silly ∧ clumsy ⇒ loving” because missing: clumsy.
   Cannot apply rule “impatient ⇒ loving” because missing: impatient.
   Cannot apply rule “witty ∧ impatient ∧ confident ⇒ loving” because missing: witty, impatient, confident.
",0,6
"Facts:  Alice is ugly [PERIOD] Alice is calm [PERIOD] Alice is combative [PERIOD] Alice is serious [PERIOD]
Rules:
mean [IMPLY] light [PERIOD]
shiny [IMPLY] light [PERIOD]
different [AND] serious [AND] lucky [IMPLY] stormy [PERIOD]
agreeable [IMPLY] busy [PERIOD]
frail [AND] sensible [IMPLY] ugly [PERIOD]
serious [AND] frail [IMPLY] busy [PERIOD]
talented [IMPLY] frail [PERIOD]
busy [AND] light [IMPLY] ugly [PERIOD]
gorgeous [IMPLY] ugly [PERIOD]
different [IMPLY] calm [PERIOD]
lucky [IMPLY] busy [PERIOD]
agreeable [IMPLY] frail [PERIOD]
bright [AND] beautiful [IMPLY] stormy [PERIOD]
calm [IMPLY] frail [PERIOD]
bright [AND] busy [AND] serious [IMPLY] stormy [PERIOD]
beautiful [AND] curious [AND] mean [IMPLY] bright [PERIOD]
beautiful [IMPLY] mean [PERIOD]
frail [IMPLY] light [PERIOD]
calm [AND] gorgeous [AND] different [IMPLY] light [PERIOD]
curious [IMPLY] mean [PERIOD]
sensible [AND] agreeable [IMPLY] calm [PERIOD]
bright [AND] ugly [AND] talented [IMPLY] curious [PERIOD]
ugly [AND] mean [IMPLY] serious [PERIOD]
gorgeous [IMPLY] talented [PERIOD]
stormy [IMPLY] beautiful [PERIOD]
ugly [AND] stormy [IMPLY] sensible [PERIOD]
light [AND] agreeable [AND] curious [IMPLY] sensible [PERIOD]
beautiful [AND] ugly [AND] calm [IMPLY] stormy [PERIOD]
lucky [AND] beautiful [IMPLY] tired [PERIOD]
busy [IMPLY] curious [PERIOD]
sensible [IMPLY] mean [PERIOD]
gorgeous [AND] different [IMPLY] curious [PERIOD]
combative [AND] busy [IMPLY] sensible [PERIOD]
tired [IMPLY] curious [PERIOD]
calm [AND] gorgeous [IMPLY] different [PERIOD]
serious [IMPLY] busy [PERIOD]
different [AND] agreeable [IMPLY] busy [PERIOD]
lucky [IMPLY] sensible [PERIOD]
calm [AND] shiny [IMPLY] mean [PERIOD]
bright [AND] gorgeous [AND] talented [IMPLY] busy [PERIOD]
ugly [AND] agreeable [AND] light [IMPLY] bright [PERIOD]
mean [IMPLY] stormy [PERIOD]
curious [AND] talented [AND] busy [IMPLY] mean [PERIOD]
tired [AND] gorgeous [IMPLY] talented [PERIOD]
sensible [AND] serious [AND] stormy [IMPLY] mean [PERIOD]
ugly [IMPLY] serious [PERIOD]
light [AND] shiny [AND] tired [IMPLY] ugly [PERIOD]
busy [AND] different [AND] lucky [IMPLY] light [PERIOD]
ugly [AND] shiny [AND] frail [IMPLY] serious [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   serious ⇒ busy
   busy ⇒ curious
   curious ⇒ mean
   mean ⇒ stormy
   stormy ⇒ beautiful
",1,5
"Facts:  Alice is lucky [PERIOD] Alice is gifted [PERIOD]
Rules:
famous [AND] excited [IMPLY] crowded [PERIOD]
jittery [IMPLY] difficult [PERIOD]
precious [AND] beautiful [AND] excited [IMPLY] lucky [PERIOD]
frail [AND] famous [IMPLY] jittery [PERIOD]
selfish [AND] famous [IMPLY] difficult [PERIOD]
clean [IMPLY] famous [PERIOD]
grumpy [IMPLY] selfish [PERIOD]
modern [IMPLY] gleaming [PERIOD]
grumpy [AND] crowded [IMPLY] gleaming [PERIOD]
serious [AND] inexpensive [IMPLY] clean [PERIOD]
straightforward [IMPLY] bright [PERIOD]
inexpensive [AND] modern [IMPLY] lucky [PERIOD]
modern [AND] gifted [AND] diplomatic [IMPLY] beautiful [PERIOD]
straightforward [IMPLY] serious [PERIOD]
grumpy [IMPLY] excited [PERIOD]
busy [IMPLY] jittery [PERIOD]
selfish [AND] helpless [IMPLY] beautiful [PERIOD]
gleaming [AND] beautiful [IMPLY] frail [PERIOD]
selfish [AND] helpless [AND] glamorous [IMPLY] stupid [PERIOD]
glamorous [AND] clean [AND] serious [IMPLY] busy [PERIOD]
modern [IMPLY] crowded [PERIOD]
straightforward [AND] stupid [AND] diplomatic [IMPLY] lucky [PERIOD]
busy [AND] diplomatic [AND] selfish [IMPLY] modern [PERIOD]
famous [AND] talented [AND] frail [IMPLY] bright [PERIOD]
lonely [AND] frail [AND] stupid [IMPLY] gleaming [PERIOD]
busy [IMPLY] glamorous [PERIOD]
gifted [IMPLY] precious [PERIOD]
excited [AND] frail [IMPLY] modern [PERIOD]
stormy [IMPLY] serious [PERIOD]
diplomatic [AND] frail [AND] inexpensive [IMPLY] straightforward [PERIOD]
lonely [IMPLY] difficult [PERIOD]
jittery [AND] glamorous [AND] grumpy [IMPLY] famous [PERIOD]
beautiful [IMPLY] frail [PERIOD]
beautiful [AND] stormy [IMPLY] helpless [PERIOD]
difficult [AND] famous [AND] jittery [IMPLY] grumpy [PERIOD]
glamorous [AND] famous [IMPLY] diplomatic [PERIOD]
bright [IMPLY] busy [PERIOD]
helpless [AND] straightforward [IMPLY] jittery [PERIOD]
busy [IMPLY] bright [PERIOD]
famous [AND] lonely [AND] crowded [IMPLY] helpless [PERIOD]
famous [AND] gleaming [AND] excited [IMPLY] selfish [PERIOD]
helpless [IMPLY] serious [PERIOD]
precious [AND] stupid [AND] serious [IMPLY] modern [PERIOD]
difficult [AND] stupid [AND] modern [IMPLY] bright [PERIOD]
selfish [AND] lonely [AND] stormy [IMPLY] difficult [PERIOD]
talented [AND] bright [AND] straightforward [IMPLY] lonely [PERIOD]
beautiful [AND] lonely [AND] helpless [IMPLY] inexpensive [PERIOD]
diplomatic [AND] straightforward [IMPLY] precious [PERIOD]
grumpy [IMPLY] modern [PERIOD]
difficult [IMPLY] diplomatic [PERIOD]
inexpensive [AND] gifted [IMPLY] helpless [PERIOD]
selfish [AND] gifted [AND] precious [IMPLY] glamorous [PERIOD]
lonely [AND] frail [AND] precious [IMPLY] serious [PERIOD]
gifted [IMPLY] modern [PERIOD]
stormy [AND] excited [IMPLY] inexpensive [PERIOD]
lonely [AND] excited [IMPLY] stormy [PERIOD]
inexpensive [IMPLY] helpless [PERIOD]
crowded [IMPLY] busy [PERIOD]
jittery [AND] lucky [IMPLY] lonely [PERIOD]
precious [AND] jittery [IMPLY] diplomatic [PERIOD]
inexpensive [AND] lonely [IMPLY] straightforward [PERIOD]
serious [IMPLY] helpless [PERIOD]
diplomatic [AND] selfish [AND] excited [IMPLY] helpless [PERIOD]
beautiful [AND] serious [IMPLY] precious [PERIOD]
inexpensive [AND] glamorous [IMPLY] clean [PERIOD]
gifted [AND] glamorous [AND] crowded [IMPLY] bright [PERIOD]
lonely [AND] precious [AND] straightforward [IMPLY] difficult [PERIOD]
modern [AND] difficult [IMPLY] precious [PERIOD]
famous [AND] frail [AND] serious [IMPLY] modern [PERIOD]
helpless [AND] jittery [AND] straightforward [IMPLY] serious [PERIOD]
grumpy [AND] difficult [IMPLY] busy [PERIOD]
glamorous [IMPLY] crowded [PERIOD]
precious [IMPLY] clean [PERIOD]
selfish [AND] frail [IMPLY] diplomatic [PERIOD]
gleaming [AND] crowded [IMPLY] excited [PERIOD]
crowded [AND] lonely [IMPLY] inexpensive [PERIOD]
crowded [IMPLY] selfish [PERIOD]
stormy [AND] famous [IMPLY] excited [PERIOD]
selfish [IMPLY] clean [PERIOD]
gifted [AND] modern [IMPLY] beautiful [PERIOD]
gifted [AND] difficult [IMPLY] frail [PERIOD]
diplomatic [AND] stupid [AND] beautiful [IMPLY] straightforward [PERIOD]
jittery [AND] gifted [AND] gleaming [IMPLY] diplomatic [PERIOD]
talented [AND] grumpy [AND] diplomatic [IMPLY] stormy [PERIOD]
excited [AND] bright [AND] clean [IMPLY] modern [PERIOD]
frail [IMPLY] selfish [PERIOD]
glamorous [IMPLY] grumpy [PERIOD]
bright [AND] precious [AND] modern [IMPLY] stupid [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   gifted ⇒ modern
   modern ⇒ crowded
   crowded ⇒ busy
   busy ⇒ bright
   gifted ⇒ precious
   gifted ⇒ modern
   bright ∧ precious ∧ modern ⇒ stupid
",1,7
"Facts:  Alice is sleepy [PERIOD] Alice is tired [PERIOD] Alice is modern [PERIOD]
Rules:
helpful [IMPLY] tired [PERIOD]
mysterious [IMPLY] wandering [PERIOD]
troubled [AND] ugliest [AND] long [IMPLY] clean [PERIOD]
long [AND] tired [IMPLY] wandering [PERIOD]
ugliest [AND] supportive [IMPLY] clean [PERIOD]
confident [AND] mysterious [AND] long [IMPLY] clean [PERIOD]
mysterious [IMPLY] curious [PERIOD]
confident [AND] wandering [AND] ugliest [IMPLY] long [PERIOD]
curious [IMPLY] helpful [PERIOD]
ugliest [AND] clean [AND] strange [IMPLY] sleepy [PERIOD]
modern [IMPLY] sleepy [PERIOD]
supportive [AND] wandering [IMPLY] ugliest [PERIOD]
curious [IMPLY] strange [PERIOD]
confident [AND] tired [IMPLY] modern [PERIOD]
curious [IMPLY] ugliest [PERIOD]
troubled [IMPLY] helpful [PERIOD]
troubled [IMPLY] clean [PERIOD]
wandering [AND] supportive [IMPLY] strange [PERIOD]
confident [AND] ugliest [AND] modern [IMPLY] strange [PERIOD]
tired [AND] wandering [AND] strange [IMPLY] clean [PERIOD]
strange [IMPLY] clean [PERIOD]
sleepy [AND] clean [AND] long [IMPLY] helpful [PERIOD]
modern [AND] helpful [AND] mysterious [IMPLY] clean [PERIOD]
strange [AND] tired [AND] modern [IMPLY] supportive [PERIOD]
ugliest [AND] sleepy [IMPLY] troubled [PERIOD]
modern [AND] helpful [IMPLY] troubled [PERIOD]
supportive [IMPLY] sleepy [PERIOD]
confident [IMPLY] modern [PERIOD]
helpful [AND] mysterious [AND] ugliest [IMPLY] confident [PERIOD]
helpful [AND] mysterious [AND] ugliest [IMPLY] wandering [PERIOD]
modern [IMPLY] ugliest [PERIOD]
clean [IMPLY] curious [PERIOD]
helpful [IMPLY] mysterious [PERIOD]
supportive [AND] wandering [AND] clean [IMPLY] strange [PERIOD]
mysterious [AND] curious [IMPLY] wandering [PERIOD]
supportive [IMPLY] clean [PERIOD]
mysterious [IMPLY] troubled [PERIOD]
supportive [AND] modern [AND] strange [IMPLY] ugliest [PERIOD]
clean [AND] troubled [IMPLY] modern [PERIOD]
clean [IMPLY] confident [PERIOD]
helpful [IMPLY] sleepy [PERIOD]
tired [IMPLY] sleepy [PERIOD]
helpful [IMPLY] confident [PERIOD]
strange [IMPLY] ugliest [PERIOD]
ugliest [AND] strange [AND] clean [IMPLY] wandering [PERIOD]
strange [AND] wandering [AND] tired [IMPLY] confident [PERIOD]
clean [IMPLY] helpful [PERIOD]
clean [IMPLY] mysterious [PERIOD]
modern [AND] clean [AND] confident [IMPLY] strange [PERIOD]
long [IMPLY] ugliest [PERIOD]
strange [AND] long [IMPLY] sleepy [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   modern ⇒ ugliest
   ugliest ∧ sleepy ⇒ troubled
   troubled ⇒ clean
   clean ⇒ mysterious
   mysterious ⇒ wandering
",1,5
"Facts:  Alice is thoughtless [PERIOD] Alice is comfortable [PERIOD] Alice is elated [PERIOD] Alice is bright [PERIOD] Alice is rational [PERIOD]
Rules:
rational [IMPLY] outrageous [PERIOD]
alert [AND] elated [IMPLY] tidy [PERIOD]
clumsy [AND] thoughtless [IMPLY] rational [PERIOD]
excited [AND] tidy [IMPLY] bossy [PERIOD]
rational [IMPLY] troubled [PERIOD]
agreeable [AND] cooperative [IMPLY] worried [PERIOD]
inexpensive [AND] bright [IMPLY] outrageous [PERIOD]
agreeable [AND] cooperative [AND] alert [IMPLY] comfortable [PERIOD]
agreeable [IMPLY] excited [PERIOD]
outrageous [AND] alert [IMPLY] straightforward [PERIOD]
cooperative [IMPLY] thoughtless [PERIOD]
inexpensive [AND] wandering [AND] agreeable [IMPLY] rational [PERIOD]
comfortable [AND] tame [AND] tidy [IMPLY] alert [PERIOD]
worried [AND] agreeable [AND] cooperative [IMPLY] excited [PERIOD]
alert [AND] tame [AND] outrageous [IMPLY] wandering [PERIOD]
tidy [IMPLY] straightforward [PERIOD]
agreeable [AND] inexpensive [IMPLY] alert [PERIOD]
elated [AND] agreeable [AND] cooperative [IMPLY] excited [PERIOD]
bright [IMPLY] excited [PERIOD]
inexpensive [AND] straightforward [IMPLY] clumsy [PERIOD]
troubled [IMPLY] agreeable [PERIOD]
troubled [IMPLY] comfortable [PERIOD]
cooperative [AND] wandering [IMPLY] elated [PERIOD]
tame [AND] bright [AND] rational [IMPLY] troubled [PERIOD]
troubled [AND] inexpensive [AND] excited [IMPLY] rational [PERIOD]
worried [AND] clumsy [AND] outrageous [IMPLY] straightforward [PERIOD]
straightforward [AND] tidy [IMPLY] tame [PERIOD]
cooperative [AND] comfortable [IMPLY] agreeable [PERIOD]
troubled [AND] agreeable [AND] cooperative [IMPLY] bright [PERIOD]
clumsy [IMPLY] alert [PERIOD]
tame [AND] excited [IMPLY] bossy [PERIOD]
wandering [AND] troubled [IMPLY] comfortable [PERIOD]
excited [AND] alert [IMPLY] straightforward [PERIOD]
outrageous [IMPLY] bright [PERIOD]
bossy [IMPLY] worried [PERIOD]
outrageous [AND] bossy [IMPLY] clumsy [PERIOD]
troubled [AND] clumsy [AND] wandering [IMPLY] tame [PERIOD]
alert [IMPLY] comfortable [PERIOD]
straightforward [IMPLY] agreeable [PERIOD]
outrageous [IMPLY] elated [PERIOD]
agreeable [IMPLY] elated [PERIOD]
comfortable [AND] tidy [IMPLY] troubled [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
   rational ⇒ troubled
   troubled ⇒ agreeable
   Cannot apply rule “agreeable ∧ cooperative ⇒ worried” because missing: cooperative.
   Cannot apply rule “bossy ⇒ worried” because missing: bossy.
",0,4
"Facts:  Alice is tender [PERIOD] Alice is charming [PERIOD] Alice is tense [PERIOD] Alice is muddy [PERIOD] Alice is attractive [PERIOD]
Rules:
quaint [IMPLY] muddy [PERIOD]
quaint [AND] muddy [IMPLY] charming [PERIOD]
muddy [IMPLY] tense [PERIOD]
quaint [IMPLY] tense [PERIOD]
quaint [AND] helpless [AND] attractive [IMPLY] wandering [PERIOD]
attractive [IMPLY] helpless [PERIOD]
muddy [AND] tense [IMPLY] quaint [PERIOD]
cute [IMPLY] quaint [PERIOD]
messy [AND] wandering [IMPLY] tense [PERIOD]
messy [AND] charming [IMPLY] quaint [PERIOD]
cute [IMPLY] messy [PERIOD]
messy [AND] charming [AND] tense [IMPLY] tender [PERIOD]
tense [IMPLY] messy [PERIOD]
helpless [AND] wandering [IMPLY] messy [PERIOD]
helpless [AND] muddy [AND] messy [IMPLY] quaint [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   muddy ∧ tense ⇒ quaint
   attractive ⇒ helpless
   quaint ∧ helpless ∧ attractive ⇒ wandering
",1,3
"Facts:  Alice is bossy [PERIOD]
Rules:
adorable [AND] horrible [AND] stormy [IMPLY] crowded [PERIOD]
famous [AND] stormy [IMPLY] anxious [PERIOD]
adorable [AND] stormy [AND] confident [IMPLY] quaint [PERIOD]
combative [AND] shy [AND] adorable [IMPLY] anxious [PERIOD]
quaint [AND] shy [IMPLY] stormy [PERIOD]
famous [AND] quaint [AND] horrible [IMPLY] stormy [PERIOD]
anxious [IMPLY] adorable [PERIOD]
anxious [AND] stormy [AND] shy [IMPLY] combative [PERIOD]
adorable [AND] anxious [AND] blushing [IMPLY] bossy [PERIOD]
stormy [AND] shy [AND] quaint [IMPLY] innocent [PERIOD]
bossy [IMPLY] confident [PERIOD]
confident [AND] anxious [AND] innocent [IMPLY] stormy [PERIOD]
innocent [AND] anxious [AND] stormy [IMPLY] combative [PERIOD]
famous [AND] crowded [AND] anxious [IMPLY] innocent [PERIOD]
combative [IMPLY] bossy [PERIOD]
anxious [AND] adorable [AND] combative [IMPLY] innocent [PERIOD]
confident [AND] stormy [AND] famous [IMPLY] horrible [PERIOD]
shy [IMPLY] anxious [PERIOD]
bossy [AND] quaint [IMPLY] combative [PERIOD]
combative [AND] innocent [AND] quaint [IMPLY] bossy [PERIOD]
anxious [AND] quaint [IMPLY] innocent [PERIOD]
combative [AND] blushing [IMPLY] shy [PERIOD]
quaint [IMPLY] adorable [PERIOD]
crowded [AND] famous [AND] horrible [IMPLY] stormy [PERIOD]
crowded [AND] horrible [IMPLY] stormy [PERIOD]
stormy [AND] combative [AND] horrible [IMPLY] confident [PERIOD]
quaint [AND] crowded [AND] bossy [IMPLY] combative [PERIOD]
quaint [AND] stormy [AND] adorable [IMPLY] blushing [PERIOD]
innocent [AND] quaint [IMPLY] adorable [PERIOD]
stormy [AND] shy [AND] blushing [IMPLY] combative [PERIOD]
confident [AND] famous [AND] adorable [IMPLY] quaint [PERIOD]
combative [AND] shy [AND] stormy [IMPLY] blushing [PERIOD]
adorable [AND] crowded [AND] blushing [IMPLY] combative [PERIOD]
adorable [IMPLY] crowded [PERIOD]
horrible [AND] stormy [AND] blushing [IMPLY] quaint [PERIOD]
shy [AND] horrible [IMPLY] adorable [PERIOD]
confident [AND] innocent [AND] quaint [IMPLY] stormy [PERIOD]
horrible [AND] shy [IMPLY] confident [PERIOD]
quaint [IMPLY] crowded [PERIOD]
horrible [AND] adorable [AND] stormy [IMPLY] famous [PERIOD]
shy [AND] blushing [AND] innocent [IMPLY] bossy [PERIOD]
anxious [AND] bossy [IMPLY] stormy [PERIOD]
adorable [AND] anxious [AND] crowded [IMPLY] confident [PERIOD]
quaint [AND] confident [AND] adorable [IMPLY] famous [PERIOD]
adorable [AND] anxious [AND] shy [IMPLY] stormy [PERIOD]
bossy [AND] confident [IMPLY] anxious [PERIOD]
anxious [IMPLY] famous [PERIOD]
quaint [AND] blushing [IMPLY] famous [PERIOD]
blushing [AND] famous [IMPLY] crowded [PERIOD]
blushing [AND] shy [IMPLY] combative [PERIOD]
famous [AND] combative [IMPLY] anxious [PERIOD]
famous [IMPLY] horrible [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   bossy ⇒ confident
   bossy ∧ confident ⇒ anxious
   anxious ⇒ famous
   famous ⇒ horrible
",1,4
"Facts:  Alice is broad-minded [PERIOD] Alice is joyous [PERIOD] Alice is messy [PERIOD] Alice is ugly [PERIOD] Alice is victorious [PERIOD] Alice is ambitious [PERIOD] Alice is proud [PERIOD] Alice is frantic [PERIOD] Alice is thoughtless [PERIOD]
Rules:
wide-eyed [AND] joyous [AND] ugly [IMPLY] precious [PERIOD]
fine [AND] messy [AND] frantic [IMPLY] perfect [PERIOD]
helpless [IMPLY] ugly [PERIOD]
ambitious [AND] victorious [IMPLY] scared [PERIOD]
elegant [AND] broad-minded [AND] ambitious [IMPLY] disgusted [PERIOD]
scared [AND] elegant [AND] proud [IMPLY] messy [PERIOD]
disgusted [IMPLY] precious [PERIOD]
perfect [AND] joyous [IMPLY] ugly [PERIOD]
sincere [AND] elegant [IMPLY] thoughtless [PERIOD]
frantic [IMPLY] disgusted [PERIOD]
elegant [AND] disobedient [IMPLY] frantic [PERIOD]
precious [AND] sincere [AND] wide-eyed [IMPLY] confident [PERIOD]
victorious [AND] proud [AND] joyous [IMPLY] perfect [PERIOD]
scared [AND] helpless [IMPLY] perfect [PERIOD]
sincere [AND] disobedient [IMPLY] wide-eyed [PERIOD]
disobedient [AND] joyous [AND] broad-minded [IMPLY] scared [PERIOD]
precious [AND] proud [IMPLY] victorious [PERIOD]
perfect [AND] thoughtless [IMPLY] disgusted [PERIOD]
confident [AND] perfect [AND] frantic [IMPLY] messy [PERIOD]
victorious [IMPLY] perfect [PERIOD]
sincere [AND] perfect [IMPLY] helpless [PERIOD]
perfect [AND] scared [AND] ambitious [IMPLY] disgusted [PERIOD]
confident [AND] broad-minded [IMPLY] perfect [PERIOD]
wide-eyed [AND] thoughtless [IMPLY] frantic [PERIOD]
sincere [AND] wide-eyed [IMPLY] joyous [PERIOD]
broad-minded [AND] elegant [AND] thoughtless [IMPLY] fine [PERIOD]
joyous [AND] confident [IMPLY] precious [PERIOD]
joyous [AND] ugly [IMPLY] sincere [PERIOD]
thoughtless [AND] disobedient [AND] helpless [IMPLY] ugly [PERIOD]
disobedient [IMPLY] victorious [PERIOD]
messy [AND] precious [IMPLY] thoughtless [PERIOD]
frantic [AND] broad-minded [AND] precious [IMPLY] victorious [PERIOD]
ugly [AND] frantic [AND] precious [IMPLY] wide-eyed [PERIOD]
helpless [AND] broad-minded [IMPLY] wide-eyed [PERIOD]
ugly [AND] frantic [IMPLY] helpless [PERIOD]
precious [AND] messy [IMPLY] joyous [PERIOD]
broad-minded [IMPLY] ugly [PERIOD]
precious [AND] messy [IMPLY] wide-eyed [PERIOD]
joyous [AND] broad-minded [IMPLY] proud [PERIOD]
perfect [IMPLY] elegant [PERIOD]
confident [AND] broad-minded [AND] wide-eyed [IMPLY] fine [PERIOD]
messy [AND] elegant [AND] confident [IMPLY] helpless [PERIOD]
victorious [AND] ambitious [AND] scared [IMPLY] fine [PERIOD]
messy [IMPLY] frantic [PERIOD]
thoughtless [IMPLY] helpless [PERIOD]
perfect [IMPLY] broad-minded [PERIOD]
proud [AND] broad-minded [IMPLY] confident [PERIOD]
broad-minded [AND] perfect [AND] victorious [IMPLY] confident [PERIOD]
sincere [AND] broad-minded [IMPLY] wide-eyed [PERIOD]
precious [AND] fine [AND] disgusted [IMPLY] victorious [PERIOD]
fine [IMPLY] elegant [PERIOD]
wide-eyed [AND] ambitious [IMPLY] disobedient [PERIOD]
frantic [IMPLY] ugly [PERIOD]
disgusted [AND] confident [IMPLY] thoughtless [PERIOD]
precious [AND] joyous [AND] sincere [IMPLY] elegant [PERIOD]
broad-minded [AND] disgusted [IMPLY] disobedient [PERIOD]
confident [AND] proud [AND] perfect [IMPLY] scared [PERIOD]
fine [IMPLY] perfect [PERIOD]
confident [IMPLY] fine [PERIOD]
helpless [IMPLY] precious [PERIOD]
perfect [AND] frantic [IMPLY] thoughtless [PERIOD]
ambitious [AND] wide-eyed [IMPLY] thoughtless [PERIOD]
broad-minded [AND] helpless [AND] disgusted [IMPLY] joyous [PERIOD]
victorious [AND] joyous [IMPLY] scared [PERIOD]
ugly [AND] wide-eyed [AND] sincere [IMPLY] joyous [PERIOD]
scared [AND] victorious [AND] joyous [IMPLY] precious [PERIOD]
sincere [AND] thoughtless [AND] frantic [IMPLY] wide-eyed [PERIOD]
ugly [IMPLY] messy [PERIOD]
scared [IMPLY] precious [PERIOD]
proud [AND] scared [IMPLY] broad-minded [PERIOD]
wide-eyed [AND] scared [AND] elegant [IMPLY] precious [PERIOD]
helpless [AND] joyous [IMPLY] perfect [PERIOD]
scared [AND] sincere [IMPLY] disgusted [PERIOD]
broad-minded [AND] wide-eyed [IMPLY] disobedient [PERIOD]
thoughtless [IMPLY] victorious [PERIOD]
precious [IMPLY] ugly [PERIOD]
precious [IMPLY] perfect [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   thoughtless ⇒ helpless
   helpless ∧ broad-minded ⇒ wide-eyed
",1,2
"Facts:  Alice is disgusted [PERIOD] Alice is uptight [PERIOD] Alice is precious [PERIOD] Alice is naughty [PERIOD] Alice is famous [PERIOD] Alice is joyous [PERIOD] Alice is confident [PERIOD] Alice is helpful [PERIOD] Alice is vivacious [PERIOD] Alice is impartial [PERIOD] Alice is ugliest [PERIOD] Alice is foolish [PERIOD] Alice is talkative [PERIOD] Alice is polite [PERIOD]
Rules:
famous [AND] confident [IMPLY] long [PERIOD]
easy [IMPLY] elegant [PERIOD]
disgusted [AND] polite [AND] joyous [IMPLY] zealous [PERIOD]
elegant [AND] ugliest [AND] precious [IMPLY] foolish [PERIOD]
selfish [AND] elegant [IMPLY] scared [PERIOD]
polite [IMPLY] anxious [PERIOD]
elegant [AND] sensible [AND] joyous [IMPLY] easy [PERIOD]
zealous [AND] disgusted [IMPLY] cruel [PERIOD]
easy [IMPLY] joyous [PERIOD]
dishonest [IMPLY] average [PERIOD]
famous [AND] zealous [IMPLY] uptight [PERIOD]
scared [AND] polite [AND] impartial [IMPLY] elegant [PERIOD]
disgusted [AND] elegant [IMPLY] confident [PERIOD]
talkative [IMPLY] foolish [PERIOD]
sensible [IMPLY] long [PERIOD]
helpless [AND] stubborn [IMPLY] selfish [PERIOD]
ugliest [AND] selfish [IMPLY] joyous [PERIOD]
helpful [IMPLY] scared [PERIOD]
anxious [IMPLY] cruel [PERIOD]
scared [IMPLY] selfish [PERIOD]
stubborn [AND] easy [AND] foolish [IMPLY] intellectual [PERIOD]
long [AND] average [AND] modern [IMPLY] helpless [PERIOD]
ugliest [AND] precious [AND] sensible [IMPLY] dishonest [PERIOD]
intellectual [IMPLY] average [PERIOD]
selfish [AND] vivacious [AND] precious [IMPLY] cruel [PERIOD]
easy [IMPLY] uptight [PERIOD]
modern [AND] sensible [AND] famous [IMPLY] stubborn [PERIOD]
naughty [AND] scared [AND] polite [IMPLY] foolish [PERIOD]
confident [AND] talkative [AND] long [IMPLY] modern [PERIOD]
talkative [AND] precious [IMPLY] helpful [PERIOD]
long [AND] foolish [IMPLY] elegant [PERIOD]
scared [AND] naughty [AND] selfish [IMPLY] average [PERIOD]
anxious [IMPLY] zealous [PERIOD]
zealous [IMPLY] talkative [PERIOD]
naughty [AND] famous [IMPLY] scared [PERIOD]
talkative [AND] impartial [IMPLY] intellectual [PERIOD]
ugliest [AND] precious [IMPLY] famous [PERIOD]
naughty [AND] uptight [IMPLY] cruel [PERIOD]
cruel [IMPLY] long [PERIOD]
foolish [AND] talkative [AND] intellectual [IMPLY] uptight [PERIOD]
dishonest [AND] anxious [AND] cruel [IMPLY] helpful [PERIOD]
easy [IMPLY] average [PERIOD]
impartial [IMPLY] helpful [PERIOD]
disgusted [AND] joyous [IMPLY] famous [PERIOD]
naughty [AND] helpful [AND] zealous [IMPLY] ugliest [PERIOD]
vivacious [AND] easy [AND] polite [IMPLY] impartial [PERIOD]
confident [AND] talkative [IMPLY] long [PERIOD]
stubborn [AND] ugliest [IMPLY] modern [PERIOD]
impartial [IMPLY] dishonest [PERIOD]
long [AND] talkative [AND] selfish [IMPLY] confident [PERIOD]
sensible [AND] average [AND] foolish [IMPLY] joyous [PERIOD]
modern [AND] helpless [AND] joyous [IMPLY] cruel [PERIOD]
anxious [AND] modern [IMPLY] uptight [PERIOD]
Query: Alice is selfish [PERIOD]","Proof chain:
   helpful ⇒ scared
   scared ⇒ selfish
",1,2
"Facts:  Alice is worrisome [PERIOD] Alice is lonely [PERIOD] Alice is broad-minded [PERIOD] Alice is distinct [PERIOD]
Rules:
spotless [AND] friendly [IMPLY] scared [PERIOD]
scared [AND] broad-minded [IMPLY] ugly [PERIOD]
lonely [AND] ugly [IMPLY] worrisome [PERIOD]
crowded [AND] bossy [IMPLY] lonely [PERIOD]
friendly [IMPLY] ugly [PERIOD]
scared [AND] cruel [IMPLY] stubborn [PERIOD]
agreeable [AND] worrisome [AND] frantic [IMPLY] distinct [PERIOD]
agreeable [AND] easy [IMPLY] mysterious [PERIOD]
ugly [AND] silly [IMPLY] scared [PERIOD]
crowded [AND] ugly [IMPLY] proud [PERIOD]
proud [IMPLY] foolish [PERIOD]
easy [AND] cruel [AND] dull [IMPLY] horrible [PERIOD]
agreeable [IMPLY] cruel [PERIOD]
exuberant [AND] silly [AND] weary [IMPLY] frantic [PERIOD]
bossy [AND] weary [AND] foolish [IMPLY] proud [PERIOD]
popular [IMPLY] worrisome [PERIOD]
talkative [AND] bossy [AND] cruel [IMPLY] crowded [PERIOD]
fearless [AND] distinct [IMPLY] weary [PERIOD]
agreeable [AND] weary [IMPLY] friendly [PERIOD]
silly [AND] cruel [IMPLY] proud [PERIOD]
foolish [IMPLY] frantic [PERIOD]
worrisome [IMPLY] talkative [PERIOD]
scared [AND] crowded [IMPLY] bossy [PERIOD]
scared [IMPLY] crowded [PERIOD]
frantic [AND] hypocritical [IMPLY] spotless [PERIOD]
agreeable [AND] talkative [IMPLY] scared [PERIOD]
stubborn [AND] lonely [IMPLY] foolish [PERIOD]
mysterious [AND] easy [IMPLY] lonely [PERIOD]
sincere [IMPLY] horrible [PERIOD]
exuberant [AND] dull [IMPLY] worrisome [PERIOD]
dull [AND] frantic [IMPLY] broad-minded [PERIOD]
cruel [IMPLY] talkative [PERIOD]
agreeable [AND] frantic [IMPLY] stubborn [PERIOD]
popular [IMPLY] easy [PERIOD]
distinct [AND] friendly [AND] agreeable [IMPLY] fearless [PERIOD]
lonely [AND] broad-minded [AND] distinct [IMPLY] exuberant [PERIOD]
lonely [AND] spotless [AND] silly [IMPLY] horrible [PERIOD]
sincere [AND] cruel [AND] dull [IMPLY] broad-minded [PERIOD]
talkative [IMPLY] proud [PERIOD]
broad-minded [AND] exuberant [IMPLY] dull [PERIOD]
stubborn [IMPLY] lonely [PERIOD]
hypocritical [AND] easy [AND] crowded [IMPLY] worrisome [PERIOD]
fearless [IMPLY] mysterious [PERIOD]
worrisome [IMPLY] fearless [PERIOD]
ugly [AND] popular [IMPLY] weary [PERIOD]
enchanting [AND] bossy [IMPLY] proud [PERIOD]
weary [AND] ugly [AND] hypocritical [IMPLY] bossy [PERIOD]
exuberant [AND] mysterious [IMPLY] spotless [PERIOD]
agreeable [AND] hypocritical [IMPLY] enchanting [PERIOD]
broad-minded [IMPLY] agreeable [PERIOD]
exuberant [AND] popular [IMPLY] enchanting [PERIOD]
lonely [AND] horrible [AND] crowded [IMPLY] worrisome [PERIOD]
cruel [IMPLY] agreeable [PERIOD]
popular [AND] enchanting [IMPLY] proud [PERIOD]
agreeable [AND] weary [AND] distinct [IMPLY] easy [PERIOD]
mysterious [AND] distinct [IMPLY] dull [PERIOD]
talkative [AND] silly [AND] mysterious [IMPLY] hypocritical [PERIOD]
frantic [AND] cruel [AND] lonely [IMPLY] distinct [PERIOD]
ugly [AND] dull [IMPLY] cruel [PERIOD]
agreeable [AND] frantic [AND] horrible [IMPLY] sincere [PERIOD]
proud [AND] popular [AND] sincere [IMPLY] hypocritical [PERIOD]
enchanting [IMPLY] weary [PERIOD]
agreeable [IMPLY] stubborn [PERIOD]
popular [AND] broad-minded [IMPLY] spotless [PERIOD]
spotless [AND] proud [AND] fearless [IMPLY] stubborn [PERIOD]
easy [AND] fearless [IMPLY] exuberant [PERIOD]
dull [AND] frantic [AND] crowded [IMPLY] hypocritical [PERIOD]
enchanting [AND] talkative [IMPLY] frantic [PERIOD]
crowded [AND] proud [AND] sincere [IMPLY] silly [PERIOD]
sincere [AND] cruel [AND] agreeable [IMPLY] scared [PERIOD]
bossy [AND] silly [AND] fearless [IMPLY] agreeable [PERIOD]
talkative [AND] enchanting [AND] cruel [IMPLY] fearless [PERIOD]
ugly [AND] foolish [IMPLY] exuberant [PERIOD]
foolish [AND] sincere [AND] worrisome [IMPLY] ugly [PERIOD]
easy [AND] talkative [IMPLY] hypocritical [PERIOD]
foolish [AND] bossy [IMPLY] ugly [PERIOD]
frantic [IMPLY] talkative [PERIOD]
distinct [AND] exuberant [AND] bossy [IMPLY] lonely [PERIOD]
lonely [IMPLY] agreeable [PERIOD]
exuberant [IMPLY] worrisome [PERIOD]
frantic [AND] silly [AND] popular [IMPLY] talkative [PERIOD]
lonely [IMPLY] cruel [PERIOD]
worrisome [AND] proud [IMPLY] frantic [PERIOD]
popular [AND] proud [AND] mysterious [IMPLY] homely [PERIOD]
exuberant [AND] lonely [AND] homely [IMPLY] proud [PERIOD]
spotless [IMPLY] popular [PERIOD]
cruel [IMPLY] ugly [PERIOD]
popular [IMPLY] hypocritical [PERIOD]
fearless [IMPLY] bossy [PERIOD]
spotless [AND] talkative [AND] foolish [IMPLY] popular [PERIOD]
weary [AND] stubborn [AND] silly [IMPLY] distinct [PERIOD]
distinct [IMPLY] crowded [PERIOD]
ugly [AND] worrisome [IMPLY] foolish [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
   broad-minded ⇒ agreeable
   worrisome ⇒ fearless
   fearless ∧ distinct ⇒ weary
   agreeable ∧ weary ∧ distinct ⇒ easy
   worrisome ⇒ talkative
   easy ∧ talkative ⇒ hypocritical
",1,6
"Facts:  Alice is spotless [PERIOD] Alice is worrisome [PERIOD]
Rules:
fancy [IMPLY] witty [PERIOD]
fancy [AND] alert [IMPLY] worrisome [PERIOD]
proud [AND] worrisome [AND] courageous [IMPLY] alert [PERIOD]
worrisome [IMPLY] alert [PERIOD]
perfect [AND] versatile [AND] anxious [IMPLY] spotless [PERIOD]
sincere [AND] versatile [IMPLY] courageous [PERIOD]
courageous [IMPLY] fancy [PERIOD]
fancy [AND] anxious [IMPLY] embarrassed [PERIOD]
perfect [AND] anxious [IMPLY] hurt [PERIOD]
embarrassed [AND] frightened [AND] alert [IMPLY] spotless [PERIOD]
courageous [AND] proud [IMPLY] anxious [PERIOD]
courageous [AND] anxious [AND] frightened [IMPLY] spotless [PERIOD]
alert [AND] fancy [AND] perfect [IMPLY] worrisome [PERIOD]
alert [IMPLY] frightened [PERIOD]
sincere [AND] embarrassed [AND] frightened [IMPLY] hurt [PERIOD]
frightened [AND] embarrassed [IMPLY] perfect [PERIOD]
perfect [AND] proud [AND] worrisome [IMPLY] frightened [PERIOD]
alert [AND] hurt [IMPLY] spotless [PERIOD]
spotless [IMPLY] courageous [PERIOD]
worrisome [AND] witty [AND] spotless [IMPLY] fancy [PERIOD]
hurt [AND] sincere [IMPLY] frightened [PERIOD]
embarrassed [AND] perfect [IMPLY] frightened [PERIOD]
perfect [AND] frightened [IMPLY] embarrassed [PERIOD]
hurt [AND] anxious [AND] frightened [IMPLY] witty [PERIOD]
anxious [IMPLY] hurt [PERIOD]
alert [AND] courageous [IMPLY] worrisome [PERIOD]
alert [AND] spotless [IMPLY] embarrassed [PERIOD]
sincere [AND] versatile [AND] talented [IMPLY] frightened [PERIOD]
fancy [IMPLY] versatile [PERIOD]
embarrassed [AND] spotless [AND] talented [IMPLY] hurt [PERIOD]
frightened [AND] alert [IMPLY] perfect [PERIOD]
witty [IMPLY] worrisome [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   worrisome ⇒ alert
   alert ⇒ frightened
   worrisome ⇒ alert
   alert ∧ spotless ⇒ embarrassed
   frightened ∧ embarrassed ⇒ perfect
",1,5
"Facts:  Alice is outrageous [PERIOD] Alice is mean [PERIOD] Alice is witty [PERIOD] Alice is bright [PERIOD] Alice is dishonest [PERIOD] Alice is sensible [PERIOD] Alice is sincere [PERIOD] Alice is famous [PERIOD]
Rules:
famous [IMPLY] bright [PERIOD]
witty [IMPLY] attractive [PERIOD]
popular [IMPLY] quaint [PERIOD]
rational [AND] outrageous [IMPLY] beautiful [PERIOD]
plain [AND] elegant [AND] dishonest [IMPLY] clean [PERIOD]
sensible [AND] beautiful [IMPLY] naughty [PERIOD]
sincere [AND] attractive [AND] beautiful [IMPLY] grumpy [PERIOD]
vivacious [IMPLY] grumpy [PERIOD]
plain [AND] famous [AND] outrageous [IMPLY] bright [PERIOD]
attractive [IMPLY] amused [PERIOD]
mean [IMPLY] popular [PERIOD]
elegant [AND] naughty [AND] broad-minded [IMPLY] plain [PERIOD]
spotless [AND] amused [IMPLY] attractive [PERIOD]
vivacious [AND] naughty [IMPLY] elegant [PERIOD]
rational [AND] plain [IMPLY] sincere [PERIOD]
clean [AND] beautiful [IMPLY] quaint [PERIOD]
sensible [IMPLY] elegant [PERIOD]
naughty [IMPLY] famous [PERIOD]
mean [AND] bright [IMPLY] naughty [PERIOD]
naughty [AND] vivacious [IMPLY] spotless [PERIOD]
attractive [IMPLY] mean [PERIOD]
popular [IMPLY] famous [PERIOD]
clean [IMPLY] elegant [PERIOD]
sincere [AND] rational [AND] grumpy [IMPLY] vivacious [PERIOD]
plain [IMPLY] sincere [PERIOD]
plain [IMPLY] broad-minded [PERIOD]
dishonest [AND] sensible [IMPLY] mean [PERIOD]
spotless [AND] amused [AND] naughty [IMPLY] clean [PERIOD]
witty [IMPLY] famous [PERIOD]
spotless [AND] mean [AND] sensible [IMPLY] grumpy [PERIOD]
quaint [IMPLY] naughty [PERIOD]
popular [AND] mean [AND] famous [IMPLY] naughty [PERIOD]
amused [AND] mean [AND] plain [IMPLY] dishonest [PERIOD]
popular [IMPLY] rational [PERIOD]
grumpy [AND] attractive [AND] vivacious [IMPLY] clean [PERIOD]
bright [AND] quaint [AND] naughty [IMPLY] vivacious [PERIOD]
attractive [IMPLY] sensible [PERIOD]
vivacious [AND] hurt [AND] confident [IMPLY] clean [PERIOD]
broad-minded [AND] attractive [AND] spotless [IMPLY] confident [PERIOD]
outrageous [AND] sincere [AND] vivacious [IMPLY] rational [PERIOD]
witty [IMPLY] broad-minded [PERIOD]
spotless [AND] hurt [IMPLY] beautiful [PERIOD]
popular [IMPLY] outrageous [PERIOD]
vivacious [AND] confident [IMPLY] famous [PERIOD]
outrageous [IMPLY] sincere [PERIOD]
plain [AND] broad-minded [AND] popular [IMPLY] hurt [PERIOD]
bright [AND] confident [IMPLY] mean [PERIOD]
hurt [AND] plain [AND] mean [IMPLY] outrageous [PERIOD]
popular [AND] sincere [AND] spotless [IMPLY] confident [PERIOD]
popular [AND] bright [AND] mean [IMPLY] confident [PERIOD]
plain [AND] famous [IMPLY] hurt [PERIOD]
broad-minded [IMPLY] naughty [PERIOD]
sincere [AND] witty [IMPLY] plain [PERIOD]
rational [IMPLY] vivacious [PERIOD]
elegant [AND] popular [IMPLY] rational [PERIOD]
quaint [AND] witty [AND] plain [IMPLY] broad-minded [PERIOD]
grumpy [AND] sincere [AND] rational [IMPLY] outrageous [PERIOD]
attractive [AND] amused [IMPLY] dishonest [PERIOD]
rational [IMPLY] hurt [PERIOD]
beautiful [IMPLY] confident [PERIOD]
outrageous [AND] broad-minded [IMPLY] elegant [PERIOD]
mean [AND] confident [IMPLY] clean [PERIOD]
outrageous [IMPLY] amused [PERIOD]
dishonest [AND] outrageous [AND] attractive [IMPLY] popular [PERIOD]
elegant [AND] outrageous [AND] famous [IMPLY] clean [PERIOD]
broad-minded [AND] spotless [IMPLY] amused [PERIOD]
attractive [AND] clean [AND] plain [IMPLY] vivacious [PERIOD]
sincere [IMPLY] popular [PERIOD]
confident [AND] elegant [IMPLY] spotless [PERIOD]
clean [AND] beautiful [IMPLY] grumpy [PERIOD]
hurt [IMPLY] clean [PERIOD]
bright [AND] popular [IMPLY] naughty [PERIOD]
dishonest [IMPLY] bright [PERIOD]
clean [IMPLY] sincere [PERIOD]
beautiful [IMPLY] popular [PERIOD]
attractive [AND] sincere [IMPLY] broad-minded [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   witty ⇒ attractive
   mean ⇒ popular
   popular ⇒ rational
   rational ∧ outrageous ⇒ beautiful
   sincere ∧ attractive ∧ beautiful ⇒ grumpy
",1,5
"Facts: 
Rules:
reserved [IMPLY] stormy [PERIOD]
worrisome [AND] reserved [IMPLY] mysterious [PERIOD]
thoughtful [IMPLY] reserved [PERIOD]
worrisome [AND] thoughtful [AND] bad-tempered [IMPLY] stormy [PERIOD]
reserved [AND] stormy [IMPLY] precious [PERIOD]
mysterious [AND] thoughtful [AND] worrisome [IMPLY] precious [PERIOD]
worrisome [IMPLY] stormy [PERIOD]
mysterious [AND] ugly [AND] stormy [IMPLY] thoughtful [PERIOD]
worrisome [AND] stormy [AND] precious [IMPLY] wrong [PERIOD]
bad-tempered [IMPLY] wrong [PERIOD]
wrong [IMPLY] precious [PERIOD]
talkative [AND] worrisome [AND] thoughtful [IMPLY] bad-tempered [PERIOD]
ugly [AND] thoughtful [IMPLY] stormy [PERIOD]
wrong [IMPLY] thoughtful [PERIOD]
worrisome [IMPLY] precious [PERIOD]
reserved [AND] worrisome [IMPLY] bad-tempered [PERIOD]
reserved [IMPLY] worrisome [PERIOD]
stormy [IMPLY] wrong [PERIOD]
bad-tempered [AND] thoughtful [IMPLY] ugly [PERIOD]
bad-tempered [AND] ugly [AND] reserved [IMPLY] thoughtful [PERIOD]
worrisome [IMPLY] mysterious [PERIOD]
precious [AND] talkative [AND] mysterious [IMPLY] ugly [PERIOD]
worrisome [IMPLY] talkative [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   Cannot apply rule “worrisome ∧ stormy ∧ precious ⇒ wrong” because missing: worrisome, stormy, precious.
   Cannot apply rule “bad-tempered ⇒ wrong” because missing: bad-tempered.
   Cannot apply rule “stormy ⇒ wrong” because missing: stormy.
",0,3
"Facts:  Alice is charming [PERIOD]
Rules:
charming [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] muddy [PERIOD]
cute [AND] clean [AND] charming [IMPLY] ugly [PERIOD]
muddy [IMPLY] beautiful [PERIOD]
charming [AND] ugly [AND] muddy [IMPLY] cute [PERIOD]
clean [AND] charming [IMPLY] muddy [PERIOD]
ugly [AND] muddy [AND] cute [IMPLY] clean [PERIOD]
ugly [AND] clean [AND] cute [IMPLY] charming [PERIOD]
cute [AND] charming [AND] ugly [IMPLY] beautiful [PERIOD]
muddy [AND] ugly [AND] clean [IMPLY] charming [PERIOD]
beautiful [AND] clean [AND] muddy [IMPLY] charming [PERIOD]
ugly [IMPLY] charming [PERIOD]
ugly [AND] cute [IMPLY] beautiful [PERIOD]
clean [AND] muddy [IMPLY] cute [PERIOD]
clean [AND] beautiful [IMPLY] ugly [PERIOD]
ugly [AND] clean [AND] charming [IMPLY] beautiful [PERIOD]
muddy [IMPLY] charming [PERIOD]
ugly [AND] charming [IMPLY] muddy [PERIOD]
muddy [AND] clean [AND] cute [IMPLY] ugly [PERIOD]
charming [AND] beautiful [AND] cute [IMPLY] muddy [PERIOD]
cute [IMPLY] beautiful [PERIOD]
ugly [AND] beautiful [IMPLY] clean [PERIOD]
ugly [IMPLY] cute [PERIOD]
beautiful [AND] ugly [AND] cute [IMPLY] charming [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   charming ⇒ beautiful
   beautiful ⇒ muddy
   Cannot apply rule “ugly ∧ muddy ∧ cute ⇒ clean” because missing: ugly, cute.
   charming ⇒ beautiful
   Cannot apply rule “ugly ∧ beautiful ⇒ clean” because missing: ugly.
",0,5
"Facts:  Alice is lonely [PERIOD] Alice is elegant [PERIOD] Alice is crowded [PERIOD] Alice is jittery [PERIOD] Alice is zealous [PERIOD]
Rules:
amused [IMPLY] homely [PERIOD]
amused [IMPLY] broad-minded [PERIOD]
gleaming [AND] clumsy [IMPLY] broad-minded [PERIOD]
homely [AND] combative [AND] foolish [IMPLY] clumsy [PERIOD]
combative [IMPLY] zealous [PERIOD]
old-fashioned [AND] amused [AND] jittery [IMPLY] broad-minded [PERIOD]
fine [IMPLY] elegant [PERIOD]
zealous [IMPLY] clumsy [PERIOD]
foolish [AND] elegant [IMPLY] combative [PERIOD]
crowded [AND] gleaming [IMPLY] homely [PERIOD]
old-fashioned [AND] foolish [IMPLY] gifted [PERIOD]
foolish [IMPLY] beautiful [PERIOD]
old-fashioned [AND] combative [AND] broad-minded [IMPLY] beautiful [PERIOD]
broad-minded [IMPLY] combative [PERIOD]
homely [IMPLY] beautiful [PERIOD]
friendly [AND] fine [AND] beautiful [IMPLY] foolish [PERIOD]
homely [AND] jittery [IMPLY] gifted [PERIOD]
jittery [IMPLY] broad-minded [PERIOD]
amused [AND] broad-minded [IMPLY] homely [PERIOD]
combative [AND] fine [AND] crowded [IMPLY] jittery [PERIOD]
crowded [AND] old-fashioned [IMPLY] zealous [PERIOD]
elegant [AND] fine [IMPLY] crowded [PERIOD]
beautiful [AND] elegant [IMPLY] lonely [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   Cannot apply rule “foolish ⇒ beautiful” because missing: foolish.
   jittery ⇒ broad-minded
   broad-minded ⇒ combative
   jittery ⇒ broad-minded
   Cannot apply rule “old-fashioned ∧ combative ∧ broad-minded ⇒ beautiful” because missing: old-fashioned.
   Cannot apply rule “homely ⇒ beautiful” because missing: homely.
",0,6
"Facts:  Alice is tender [PERIOD] Alice is wide-eyed [PERIOD] Alice is fearless [PERIOD] Alice is distinct [PERIOD] Alice is confused [PERIOD] Alice is versatile [PERIOD]
Rules:
bright [AND] famous [AND] tender [IMPLY] versatile [PERIOD]
versatile [AND] loving [AND] quaint [IMPLY] cute [PERIOD]
wide-eyed [AND] cute [IMPLY] tidy [PERIOD]
famous [AND] confused [AND] distinct [IMPLY] bored [PERIOD]
talented [AND] friendly [AND] famous [IMPLY] tender [PERIOD]
supportive [AND] fearless [IMPLY] tender [PERIOD]
friendly [IMPLY] tender [PERIOD]
dull [AND] supportive [AND] wide-eyed [IMPLY] tidy [PERIOD]
versatile [AND] exuberant [IMPLY] bright [PERIOD]
cute [IMPLY] fearless [PERIOD]
aggressive [AND] exuberant [AND] helpful [IMPLY] tidy [PERIOD]
modern [AND] wide-eyed [IMPLY] aggressive [PERIOD]
hypocritical [AND] famous [IMPLY] muddy [PERIOD]
wide-eyed [IMPLY] talented [PERIOD]
distinct [AND] friendly [IMPLY] tender [PERIOD]
talented [AND] alert [IMPLY] versatile [PERIOD]
helpful [IMPLY] curious [PERIOD]
bored [AND] wandering [IMPLY] loving [PERIOD]
muddy [IMPLY] alert [PERIOD]
tidy [AND] curious [AND] dull [IMPLY] confused [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is smart [PERIOD] Alice is plain [PERIOD] Alice is tidy [PERIOD] Alice is gleaming [PERIOD] Alice is frantic [PERIOD] Alice is clumsy [PERIOD] Alice is alert [PERIOD] Alice is witty [PERIOD]
Rules:
pleasant [AND] gleaming [AND] witty [IMPLY] alert [PERIOD]
plain [IMPLY] pleasant [PERIOD]
alert [AND] clumsy [AND] wrong [IMPLY] smart [PERIOD]
tidy [AND] pleasant [AND] clumsy [IMPLY] alert [PERIOD]
reserved [AND] wrong [IMPLY] clumsy [PERIOD]
tidy [AND] smart [IMPLY] pleasant [PERIOD]
plain [AND] gleaming [IMPLY] alert [PERIOD]
gleaming [AND] frantic [AND] clumsy [IMPLY] alert [PERIOD]
smart [IMPLY] frantic [PERIOD]
reserved [AND] alert [IMPLY] smart [PERIOD]
witty [IMPLY] frantic [PERIOD]
reserved [AND] alert [IMPLY] gleaming [PERIOD]
clumsy [AND] tidy [IMPLY] frantic [PERIOD]
frantic [IMPLY] alert [PERIOD]
smart [AND] tidy [AND] attractive [IMPLY] frantic [PERIOD]
alert [AND] witty [AND] smart [IMPLY] attractive [PERIOD]
witty [AND] frantic [AND] wrong [IMPLY] smart [PERIOD]
wrong [AND] frantic [AND] alert [IMPLY] reserved [PERIOD]
frantic [AND] smart [AND] witty [IMPLY] attractive [PERIOD]
pleasant [AND] plain [IMPLY] frantic [PERIOD]
frantic [AND] gleaming [IMPLY] attractive [PERIOD]
gleaming [AND] smart [IMPLY] witty [PERIOD]
alert [AND] gleaming [AND] wrong [IMPLY] clumsy [PERIOD]
frantic [AND] witty [IMPLY] smart [PERIOD]
plain [AND] pleasant [AND] attractive [IMPLY] frantic [PERIOD]
pleasant [AND] tidy [AND] smart [IMPLY] witty [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is dull [PERIOD] Alice is exuberant [PERIOD]
Rules:
pessimistic [AND] victorious [IMPLY] scared [PERIOD]
friendly [AND] fine [IMPLY] worried [PERIOD]
worried [AND] spotless [IMPLY] victorious [PERIOD]
frail [AND] worried [AND] different [IMPLY] pessimistic [PERIOD]
exuberant [AND] worried [AND] victorious [IMPLY] friendly [PERIOD]
spotless [IMPLY] beautiful [PERIOD]
fine [AND] hurt [IMPLY] pessimistic [PERIOD]
scared [AND] hurt [IMPLY] friendly [PERIOD]
scared [AND] different [AND] dull [IMPLY] frail [PERIOD]
friendly [IMPLY] dull [PERIOD]
different [AND] friendly [IMPLY] worried [PERIOD]
dull [AND] victorious [AND] hypocritical [IMPLY] friendly [PERIOD]
worried [AND] friendly [IMPLY] fine [PERIOD]
pessimistic [AND] different [IMPLY] victorious [PERIOD]
fine [AND] pessimistic [AND] hurt [IMPLY] exuberant [PERIOD]
friendly [AND] exuberant [IMPLY] frail [PERIOD]
worried [AND] hypocritical [IMPLY] exuberant [PERIOD]
victorious [IMPLY] fine [PERIOD]
worried [AND] beautiful [AND] hurt [IMPLY] frail [PERIOD]
victorious [AND] spotless [AND] hurt [IMPLY] worried [PERIOD]
frail [AND] hypocritical [IMPLY] hurt [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “scared ∧ different ∧ dull ⇒ frail” because missing: scared, different.
   Cannot apply rule “friendly ∧ exuberant ⇒ frail” because missing: friendly.
   Cannot apply rule “worried ∧ beautiful ∧ hurt ⇒ frail” because missing: worried, beautiful, hurt.
",0,3
"Facts:  Alice is thoughtful [PERIOD] Alice is tidy [PERIOD] Alice is sensible [PERIOD] Alice is alert [PERIOD] Alice is mysterious [PERIOD] Alice is confident [PERIOD] Alice is innocent [PERIOD] Alice is pessimistic [PERIOD] Alice is fragile [PERIOD] Alice is thoughtless [PERIOD] Alice is plain [PERIOD]
Rules:
thoughtful [AND] tidy [IMPLY] alert [PERIOD]
gorgeous [AND] sensible [IMPLY] tame [PERIOD]
plain [IMPLY] supportive [PERIOD]
fragile [AND] exuberant [IMPLY] thoughtful [PERIOD]
pessimistic [AND] tame [IMPLY] outrageous [PERIOD]
ugly [AND] supportive [AND] ugliest [IMPLY] exuberant [PERIOD]
vivacious [AND] wandering [AND] cute [IMPLY] supportive [PERIOD]
innocent [IMPLY] proud [PERIOD]
pessimistic [AND] proud [IMPLY] plain [PERIOD]
disgusted [IMPLY] fragile [PERIOD]
exuberant [AND] plain [AND] supportive [IMPLY] pessimistic [PERIOD]
plain [AND] ugly [IMPLY] vivacious [PERIOD]
joyous [AND] wandering [IMPLY] confident [PERIOD]
joyous [IMPLY] mysterious [PERIOD]
gorgeous [AND] innocent [IMPLY] ugliest [PERIOD]
fragile [AND] gorgeous [AND] supportive [IMPLY] mysterious [PERIOD]
pessimistic [AND] proud [AND] fragile [IMPLY] wandering [PERIOD]
innocent [AND] precious [AND] ugliest [IMPLY] mysterious [PERIOD]
thoughtful [AND] reserved [AND] mysterious [IMPLY] confident [PERIOD]
sensible [AND] confident [AND] cute [IMPLY] proud [PERIOD]
tidy [IMPLY] supportive [PERIOD]
thoughtless [IMPLY] sensible [PERIOD]
sensible [IMPLY] tame [PERIOD]
pessimistic [AND] wandering [IMPLY] innocent [PERIOD]
wandering [AND] tidy [IMPLY] mysterious [PERIOD]
innocent [AND] tidy [IMPLY] exuberant [PERIOD]
supportive [IMPLY] innocent [PERIOD]
sensible [AND] outrageous [IMPLY] different [PERIOD]
thoughtful [IMPLY] tame [PERIOD]
joyous [AND] fragile [IMPLY] thoughtful [PERIOD]
disgusted [IMPLY] proud [PERIOD]
mysterious [AND] vivacious [AND] proud [IMPLY] sensible [PERIOD]
different [AND] cute [IMPLY] fragile [PERIOD]
different [AND] mysterious [AND] thoughtful [IMPLY] outrageous [PERIOD]
wandering [AND] mysterious [AND] ugly [IMPLY] different [PERIOD]
ugliest [AND] proud [AND] sensible [IMPLY] reserved [PERIOD]
thoughtless [AND] disgusted [AND] exuberant [IMPLY] mysterious [PERIOD]
thoughtful [AND] reserved [AND] vivacious [IMPLY] different [PERIOD]
precious [IMPLY] pessimistic [PERIOD]
plain [AND] gorgeous [AND] vivacious [IMPLY] supportive [PERIOD]
supportive [AND] confident [AND] ugly [IMPLY] cute [PERIOD]
wandering [AND] disgusted [IMPLY] mysterious [PERIOD]
reserved [AND] different [IMPLY] thoughtless [PERIOD]
confident [IMPLY] wandering [PERIOD]
exuberant [AND] alert [IMPLY] gorgeous [PERIOD]
joyous [IMPLY] tame [PERIOD]
precious [AND] pessimistic [IMPLY] proud [PERIOD]
pessimistic [AND] disgusted [AND] outrageous [IMPLY] tidy [PERIOD]
tidy [IMPLY] vivacious [PERIOD]
thoughtful [IMPLY] different [PERIOD]
thoughtless [AND] disgusted [AND] gorgeous [IMPLY] alert [PERIOD]
tame [AND] mysterious [AND] innocent [IMPLY] ugliest [PERIOD]
reserved [IMPLY] proud [PERIOD]
cute [IMPLY] exuberant [PERIOD]
disgusted [AND] fragile [AND] outrageous [IMPLY] sensible [PERIOD]
mysterious [AND] gorgeous [IMPLY] proud [PERIOD]
plain [AND] vivacious [AND] proud [IMPLY] pessimistic [PERIOD]
thoughtless [AND] tame [AND] tidy [IMPLY] plain [PERIOD]
cute [AND] thoughtless [IMPLY] ugly [PERIOD]
joyous [AND] confident [AND] different [IMPLY] reserved [PERIOD]
ugly [IMPLY] disgusted [PERIOD]
tidy [IMPLY] wandering [PERIOD]
plain [AND] outrageous [AND] supportive [IMPLY] thoughtless [PERIOD]
outrageous [IMPLY] sensible [PERIOD]
joyous [IMPLY] supportive [PERIOD]
sensible [IMPLY] different [PERIOD]
gorgeous [AND] different [AND] precious [IMPLY] alert [PERIOD]
exuberant [IMPLY] sensible [PERIOD]
precious [AND] gorgeous [IMPLY] exuberant [PERIOD]
joyous [AND] exuberant [IMPLY] mysterious [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   sensible ⇒ different
",1,1
"Facts:  Alice is distinct [PERIOD] Alice is uptight [PERIOD] Alice is crowded [PERIOD] Alice is stubborn [PERIOD] Alice is hilarious [PERIOD] Alice is disgusted [PERIOD] Alice is helpful [PERIOD] Alice is wrong [PERIOD] Alice is wide-eyed [PERIOD] Alice is intellectual [PERIOD] Alice is excited [PERIOD] Alice is impatient [PERIOD] Alice is straightforward [PERIOD] Alice is elegant [PERIOD] Alice is rational [PERIOD] Alice is confused [PERIOD] Alice is tidy [PERIOD] Alice is hypocritical [PERIOD] Alice is ugliest [PERIOD]
Rules:
hypocritical [AND] quaint [IMPLY] confused [PERIOD]
messy [AND] ugliest [IMPLY] dull [PERIOD]
distinct [AND] rational [AND] gorgeous [IMPLY] confused [PERIOD]
straightforward [AND] sincere [IMPLY] stubborn [PERIOD]
elated [IMPLY] straightforward [PERIOD]
quaint [AND] ugliest [AND] dull [IMPLY] uptight [PERIOD]
ugliest [AND] hypocritical [AND] wide-eyed [IMPLY] intellectual [PERIOD]
distinct [IMPLY] disgusted [PERIOD]
messy [AND] hypocritical [AND] helpful [IMPLY] tidy [PERIOD]
wide-eyed [AND] straightforward [AND] rational [IMPLY] homely [PERIOD]
ugliest [IMPLY] innocent [PERIOD]
excited [AND] hilarious [AND] gorgeous [IMPLY] reserved [PERIOD]
quaint [IMPLY] messy [PERIOD]
helpful [AND] disgusted [IMPLY] wrong [PERIOD]
helpful [AND] sincere [IMPLY] intellectual [PERIOD]
uptight [AND] elated [IMPLY] helpful [PERIOD]
intellectual [AND] homely [IMPLY] rational [PERIOD]
gorgeous [AND] reserved [AND] distinct [IMPLY] stubborn [PERIOD]
wide-eyed [AND] wrong [AND] excited [IMPLY] homely [PERIOD]
wrong [AND] straightforward [IMPLY] excited [PERIOD]
stubborn [AND] crowded [AND] sincere [IMPLY] thoughtful [PERIOD]
stubborn [AND] wrong [IMPLY] confused [PERIOD]
hilarious [AND] tidy [IMPLY] sincere [PERIOD]
dull [AND] distinct [IMPLY] elegant [PERIOD]
sincere [AND] elated [IMPLY] uptight [PERIOD]
distinct [AND] elated [AND] elegant [IMPLY] stubborn [PERIOD]
innocent [AND] thoughtful [AND] wide-eyed [IMPLY] homely [PERIOD]
quaint [AND] ugliest [AND] thoughtful [IMPLY] impatient [PERIOD]
sincere [AND] stubborn [IMPLY] uptight [PERIOD]
messy [AND] gorgeous [IMPLY] reserved [PERIOD]
homely [IMPLY] intellectual [PERIOD]
quaint [IMPLY] hilarious [PERIOD]
sincere [IMPLY] excited [PERIOD]
elegant [AND] disgusted [IMPLY] gorgeous [PERIOD]
intellectual [AND] messy [IMPLY] ugliest [PERIOD]
disgusted [AND] messy [IMPLY] impatient [PERIOD]
thoughtful [AND] confused [AND] uptight [IMPLY] quaint [PERIOD]
innocent [AND] disgusted [AND] intellectual [IMPLY] elegant [PERIOD]
thoughtful [AND] hilarious [IMPLY] ugliest [PERIOD]
Query: Alice is dull [PERIOD]","Proof chain:
   hilarious ∧ tidy ⇒ sincere
   stubborn ∧ crowded ∧ sincere ⇒ thoughtful
   thoughtful ∧ confused ∧ uptight ⇒ quaint
   quaint ⇒ messy
   messy ∧ ugliest ⇒ dull
",1,5
"Facts:  Alice is silly [PERIOD] Alice is attractive [PERIOD]
Rules:
talkative [AND] frail [AND] powerful [IMPLY] pleasant [PERIOD]
plain [AND] amused [AND] hilarious [IMPLY] popular [PERIOD]
hilarious [AND] busy [IMPLY] plain [PERIOD]
talkative [AND] attractive [IMPLY] pleasant [PERIOD]
pleasant [AND] wandering [IMPLY] shy [PERIOD]
hilarious [AND] attractive [IMPLY] good [PERIOD]
cute [IMPLY] vivacious [PERIOD]
mean [AND] pleasant [AND] combative [IMPLY] attractive [PERIOD]
condemned [IMPLY] mean [PERIOD]
talkative [AND] mean [IMPLY] combative [PERIOD]
plain [AND] condemned [AND] messy [IMPLY] vivacious [PERIOD]
pleasant [IMPLY] ugliest [PERIOD]
enchanting [AND] silly [IMPLY] amused [PERIOD]
silly [AND] mean [AND] hilarious [IMPLY] messy [PERIOD]
combative [AND] pleasant [AND] good [IMPLY] hilarious [PERIOD]
messy [IMPLY] cute [PERIOD]
talkative [IMPLY] vivacious [PERIOD]
shy [AND] attractive [AND] mean [IMPLY] talkative [PERIOD]
combative [AND] shy [IMPLY] enchanting [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   Cannot apply rule “cute ⇒ vivacious” because missing: cute.
   Cannot apply rule “plain ∧ condemned ∧ messy ⇒ vivacious” because missing: plain, condemned, messy.
   Cannot apply rule “talkative ⇒ vivacious” because missing: talkative.
",0,3
"Facts: 
Rules:
different [AND] quaint [AND] clean [IMPLY] tame [PERIOD]
tame [AND] quaint [AND] different [IMPLY] excited [PERIOD]
quaint [AND] clean [IMPLY] tame [PERIOD]
different [AND] tame [AND] excited [IMPLY] clean [PERIOD]
different [AND] clean [AND] excited [IMPLY] quaint [PERIOD]
tame [AND] different [IMPLY] quaint [PERIOD]
excited [AND] clean [IMPLY] quaint [PERIOD]
excited [AND] different [IMPLY] tame [PERIOD]
quaint [AND] different [IMPLY] clean [PERIOD]
tame [IMPLY] clean [PERIOD]
excited [AND] different [AND] clean [IMPLY] tame [PERIOD]
excited [AND] tame [IMPLY] clean [PERIOD]
quaint [AND] clean [AND] excited [IMPLY] different [PERIOD]
tame [AND] different [AND] quaint [IMPLY] clean [PERIOD]
excited [AND] quaint [IMPLY] different [PERIOD]
excited [IMPLY] quaint [PERIOD]
quaint [AND] tame [IMPLY] different [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   Cannot apply rule “different ∧ tame ∧ excited ⇒ clean” because missing: different, tame, excited.
   Cannot apply rule “quaint ∧ different ⇒ clean” because missing: quaint, different.
   Cannot apply rule “tame ⇒ clean” because missing: tame.
   Cannot apply rule “excited ∧ tame ⇒ clean” because missing: excited, tame.
   Cannot apply rule “tame ∧ different ∧ quaint ⇒ clean” because missing: tame, different, quaint.
",0,5
"Facts:  Alice is dull [PERIOD]
Rules:
mysterious [AND] famous [IMPLY] sleepy [PERIOD]
wide-eyed [AND] famous [IMPLY] frail [PERIOD]
confident [AND] agreeable [IMPLY] exuberant [PERIOD]
clean [IMPLY] sleepy [PERIOD]
frail [IMPLY] reserved [PERIOD]
sincere [AND] stupid [IMPLY] clean [PERIOD]
sleepy [IMPLY] confident [PERIOD]
sincere [IMPLY] nervous [PERIOD]
disobedient [IMPLY] sincere [PERIOD]
wide-eyed [IMPLY] frail [PERIOD]
clean [AND] wide-eyed [AND] agreeable [IMPLY] sleepy [PERIOD]
confident [AND] bright [AND] modern [IMPLY] difficult [PERIOD]
dull [AND] mysterious [AND] shiny [IMPLY] exuberant [PERIOD]
sincere [AND] difficult [AND] disobedient [IMPLY] reserved [PERIOD]
disobedient [AND] difficult [AND] famous [IMPLY] serious [PERIOD]
wandering [AND] mysterious [IMPLY] sleepy [PERIOD]
mysterious [IMPLY] famous [PERIOD]
nervous [AND] serious [IMPLY] famous [PERIOD]
confident [AND] disobedient [AND] shiny [IMPLY] sincere [PERIOD]
bright [AND] disobedient [AND] clean [IMPLY] agreeable [PERIOD]
clean [AND] bright [AND] sincere [IMPLY] exuberant [PERIOD]
famous [AND] frail [IMPLY] agreeable [PERIOD]
mysterious [AND] clean [IMPLY] stupid [PERIOD]
reserved [AND] disobedient [AND] sincere [IMPLY] exuberant [PERIOD]
sleepy [AND] reserved [IMPLY] famous [PERIOD]
sleepy [AND] confident [AND] clean [IMPLY] shiny [PERIOD]
serious [IMPLY] modern [PERIOD]
wide-eyed [AND] famous [AND] dull [IMPLY] confident [PERIOD]
sincere [AND] stupid [IMPLY] nervous [PERIOD]
wide-eyed [AND] agreeable [IMPLY] disobedient [PERIOD]
exuberant [AND] modern [AND] wandering [IMPLY] stupid [PERIOD]
clean [IMPLY] modern [PERIOD]
dull [IMPLY] nervous [PERIOD]
clean [AND] exuberant [IMPLY] difficult [PERIOD]
serious [AND] mysterious [IMPLY] sincere [PERIOD]
bright [AND] stupid [IMPLY] mysterious [PERIOD]
wide-eyed [AND] mysterious [IMPLY] shiny [PERIOD]
shiny [AND] exuberant [IMPLY] agreeable [PERIOD]
bright [IMPLY] famous [PERIOD]
clean [AND] serious [IMPLY] stupid [PERIOD]
stupid [IMPLY] bright [PERIOD]
sleepy [AND] disobedient [AND] dull [IMPLY] reserved [PERIOD]
frail [IMPLY] bright [PERIOD]
nervous [AND] wandering [AND] sleepy [IMPLY] sincere [PERIOD]
frail [AND] reserved [IMPLY] shiny [PERIOD]
serious [AND] wide-eyed [IMPLY] disobedient [PERIOD]
sincere [AND] modern [IMPLY] frail [PERIOD]
dull [AND] bright [AND] stupid [IMPLY] shiny [PERIOD]
exuberant [AND] modern [IMPLY] clean [PERIOD]
agreeable [IMPLY] stupid [PERIOD]
bright [AND] modern [AND] shiny [IMPLY] mysterious [PERIOD]
reserved [AND] nervous [AND] exuberant [IMPLY] sleepy [PERIOD]
agreeable [AND] wandering [IMPLY] confident [PERIOD]
reserved [AND] exuberant [IMPLY] nervous [PERIOD]
reserved [AND] mysterious [AND] famous [IMPLY] disobedient [PERIOD]
mysterious [IMPLY] modern [PERIOD]
disobedient [AND] wandering [AND] bright [IMPLY] exuberant [PERIOD]
mysterious [IMPLY] reserved [PERIOD]
frail [AND] famous [IMPLY] sleepy [PERIOD]
exuberant [IMPLY] disobedient [PERIOD]
confident [AND] agreeable [AND] serious [IMPLY] mysterious [PERIOD]
mysterious [AND] serious [AND] famous [IMPLY] clean [PERIOD]
mysterious [IMPLY] sincere [PERIOD]
sincere [AND] mysterious [IMPLY] nervous [PERIOD]
difficult [IMPLY] stupid [PERIOD]
sleepy [AND] agreeable [AND] frail [IMPLY] exuberant [PERIOD]
wide-eyed [AND] confident [AND] dull [IMPLY] stupid [PERIOD]
serious [AND] confident [IMPLY] shiny [PERIOD]
modern [AND] clean [AND] agreeable [IMPLY] nervous [PERIOD]
dull [AND] stupid [AND] frail [IMPLY] difficult [PERIOD]
agreeable [AND] dull [IMPLY] sincere [PERIOD]
shiny [AND] modern [AND] reserved [IMPLY] sleepy [PERIOD]
bright [AND] clean [AND] famous [IMPLY] wide-eyed [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   Cannot apply rule “bright ∧ disobedient ∧ clean ⇒ agreeable” because missing: bright, disobedient, clean.
   Cannot apply rule “famous ∧ frail ⇒ agreeable” because missing: famous, frail.
   Cannot apply rule “shiny ∧ exuberant ⇒ agreeable” because missing: shiny, exuberant.
",0,3
"Facts:  Alice is condemned [PERIOD] Alice is confident [PERIOD]
Rules:
smart [AND] confident [AND] worrisome [IMPLY] hurt [PERIOD]
worrisome [AND] hurt [AND] confident [IMPLY] smart [PERIOD]
worrisome [AND] confident [AND] hurt [IMPLY] condemned [PERIOD]
hurt [AND] smart [AND] worrisome [IMPLY] condemned [PERIOD]
worrisome [IMPLY] smart [PERIOD]
worrisome [AND] hurt [AND] condemned [IMPLY] smart [PERIOD]
smart [AND] hurt [AND] worrisome [IMPLY] confident [PERIOD]
smart [AND] condemned [AND] worrisome [IMPLY] confident [PERIOD]
condemned [AND] worrisome [IMPLY] hurt [PERIOD]
worrisome [AND] hurt [IMPLY] smart [PERIOD]
smart [IMPLY] worrisome [PERIOD]
smart [AND] worrisome [IMPLY] confident [PERIOD]
smart [AND] condemned [IMPLY] confident [PERIOD]
condemned [IMPLY] hurt [PERIOD]
confident [AND] condemned [IMPLY] hurt [PERIOD]
condemned [AND] confident [AND] worrisome [IMPLY] hurt [PERIOD]
worrisome [AND] hurt [IMPLY] confident [PERIOD]
Query: Alice is smart [PERIOD]","Proof chain:
   condemned ⇒ hurt
   Cannot apply rule “worrisome ∧ hurt ∧ confident ⇒ smart” because missing: worrisome.
   Cannot apply rule “worrisome ⇒ smart” because missing: worrisome.
   condemned ⇒ hurt
   Cannot apply rule “worrisome ∧ hurt ∧ condemned ⇒ smart” because missing: worrisome.
   condemned ⇒ hurt
   Cannot apply rule “worrisome ∧ hurt ⇒ smart” because missing: worrisome.
",0,7
"Facts:  Alice is worried [PERIOD] Alice is blushing [PERIOD] Alice is perfect [PERIOD]
Rules:
serious [AND] blushing [IMPLY] curious [PERIOD]
good [AND] friendly [AND] worried [IMPLY] helpful [PERIOD]
blushing [AND] friendly [AND] cruel [IMPLY] good [PERIOD]
blushing [AND] perfect [IMPLY] cruel [PERIOD]
glamorous [AND] blushing [AND] cruel [IMPLY] perfect [PERIOD]
curious [IMPLY] friendly [PERIOD]
aggressive [IMPLY] glamorous [PERIOD]
friendly [AND] serious [IMPLY] blushing [PERIOD]
curious [AND] friendly [AND] blushing [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] disobedient [PERIOD]
worried [AND] cruel [IMPLY] curious [PERIOD]
curious [AND] cruel [AND] serious [IMPLY] blushing [PERIOD]
friendly [AND] blushing [AND] proud [IMPLY] serious [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
   blushing ∧ perfect ⇒ cruel
   worried ∧ cruel ⇒ curious
   curious ⇒ friendly
   blushing ∧ perfect ⇒ cruel
   blushing ∧ friendly ∧ cruel ⇒ good
",1,5
"Facts:  Alice is naughty [PERIOD]
Rules:
curious [IMPLY] modern [PERIOD]
sincere [AND] gifted [IMPLY] modern [PERIOD]
curious [AND] naughty [AND] tense [IMPLY] beautiful [PERIOD]
naughty [IMPLY] smart [PERIOD]
versatile [AND] cruel [IMPLY] sincere [PERIOD]
cruel [IMPLY] elegant [PERIOD]
adorable [AND] curious [AND] selfish [IMPLY] modern [PERIOD]
tense [IMPLY] curious [PERIOD]
versatile [IMPLY] beautiful [PERIOD]
victorious [AND] cruel [AND] good [IMPLY] selfish [PERIOD]
smart [AND] tense [AND] modern [IMPLY] adorable [PERIOD]
adorable [AND] versatile [AND] gifted [IMPLY] tense [PERIOD]
tense [IMPLY] versatile [PERIOD]
victorious [IMPLY] good [PERIOD]
smart [AND] naughty [IMPLY] versatile [PERIOD]
tense [IMPLY] adorable [PERIOD]
adorable [AND] smart [IMPLY] versatile [PERIOD]
smart [AND] naughty [AND] modern [IMPLY] tense [PERIOD]
naughty [AND] beautiful [AND] good [IMPLY] curious [PERIOD]
cooperative [IMPLY] curious [PERIOD]
tense [AND] curious [IMPLY] good [PERIOD]
smart [AND] selfish [AND] cruel [IMPLY] versatile [PERIOD]
naughty [AND] adorable [IMPLY] cruel [PERIOD]
smart [AND] versatile [IMPLY] elegant [PERIOD]
adorable [AND] naughty [IMPLY] modern [PERIOD]
modern [AND] naughty [AND] elegant [IMPLY] selfish [PERIOD]
selfish [AND] modern [IMPLY] adorable [PERIOD]
beautiful [IMPLY] versatile [PERIOD]
victorious [AND] cooperative [IMPLY] curious [PERIOD]
gifted [AND] good [AND] naughty [IMPLY] sincere [PERIOD]
adorable [IMPLY] good [PERIOD]
victorious [AND] adorable [IMPLY] cooperative [PERIOD]
selfish [IMPLY] cooperative [PERIOD]
naughty [AND] adorable [IMPLY] cooperative [PERIOD]
adorable [AND] good [IMPLY] smart [PERIOD]
gifted [AND] sincere [IMPLY] selfish [PERIOD]
modern [IMPLY] versatile [PERIOD]
adorable [AND] cooperative [AND] cruel [IMPLY] naughty [PERIOD]
elegant [AND] versatile [IMPLY] smart [PERIOD]
cooperative [AND] naughty [AND] curious [IMPLY] sincere [PERIOD]
good [IMPLY] curious [PERIOD]
good [IMPLY] sincere [PERIOD]
cruel [AND] gifted [AND] selfish [IMPLY] smart [PERIOD]
sincere [IMPLY] adorable [PERIOD]
naughty [IMPLY] sincere [PERIOD]
adorable [AND] smart [IMPLY] curious [PERIOD]
naughty [AND] sincere [IMPLY] adorable [PERIOD]
gifted [AND] good [AND] tense [IMPLY] adorable [PERIOD]
curious [IMPLY] good [PERIOD]
naughty [AND] beautiful [IMPLY] modern [PERIOD]
beautiful [IMPLY] gifted [PERIOD]
cruel [IMPLY] versatile [PERIOD]
good [AND] curious [AND] gifted [IMPLY] victorious [PERIOD]
versatile [AND] sincere [AND] cooperative [IMPLY] tense [PERIOD]
selfish [IMPLY] gifted [PERIOD]
selfish [IMPLY] tense [PERIOD]
modern [AND] cooperative [IMPLY] sincere [PERIOD]
beautiful [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] tense [PERIOD]
beautiful [AND] curious [IMPLY] selfish [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   naughty ⇒ smart
   smart ∧ naughty ⇒ versatile
   naughty ⇒ sincere
   naughty ⇒ sincere
   sincere ⇒ adorable
   naughty ∧ adorable ⇒ cooperative
   versatile ∧ sincere ∧ cooperative ⇒ tense
",1,7
"Facts:  Alice is condemned [PERIOD]
Rules:
fragile [AND] selfish [AND] comfortable [IMPLY] polite [PERIOD]
fearless [IMPLY] selfish [PERIOD]
clumsy [AND] smart [IMPLY] polite [PERIOD]
ambitious [AND] worried [IMPLY] polite [PERIOD]
fragile [IMPLY] selfish [PERIOD]
polite [AND] naughty [IMPLY] fragile [PERIOD]
fragile [AND] selfish [AND] ambitious [IMPLY] curious [PERIOD]
curious [AND] naughty [AND] comfortable [IMPLY] selfish [PERIOD]
embarrassed [IMPLY] curious [PERIOD]
naughty [AND] fearless [IMPLY] polite [PERIOD]
polite [IMPLY] condemned [PERIOD]
smart [AND] embarrassed [IMPLY] clumsy [PERIOD]
curious [AND] fragile [AND] fearless [IMPLY] comfortable [PERIOD]
smart [IMPLY] curious [PERIOD]
intellectual [AND] comfortable [IMPLY] selfish [PERIOD]
ambitious [AND] selfish [IMPLY] comfortable [PERIOD]
selfish [IMPLY] comfortable [PERIOD]
intellectual [AND] embarrassed [IMPLY] curious [PERIOD]
comfortable [AND] selfish [IMPLY] polite [PERIOD]
clumsy [AND] embarrassed [AND] worried [IMPLY] selfish [PERIOD]
comfortable [IMPLY] curious [PERIOD]
naughty [AND] selfish [AND] intellectual [IMPLY] fragile [PERIOD]
comfortable [IMPLY] polite [PERIOD]
fragile [IMPLY] curious [PERIOD]
clumsy [AND] fearless [IMPLY] selfish [PERIOD]
intellectual [IMPLY] embarrassed [PERIOD]
comfortable [IMPLY] worried [PERIOD]
curious [AND] ambitious [AND] naughty [IMPLY] fragile [PERIOD]
ambitious [AND] naughty [IMPLY] curious [PERIOD]
smart [AND] naughty [IMPLY] worried [PERIOD]
intellectual [AND] fearless [AND] smart [IMPLY] ambitious [PERIOD]
comfortable [IMPLY] fragile [PERIOD]
fearless [AND] naughty [AND] smart [IMPLY] clumsy [PERIOD]
fragile [AND] clumsy [AND] naughty [IMPLY] smart [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   Cannot apply rule “polite ∧ naughty ⇒ fragile” because missing: polite, naughty.
   Cannot apply rule “naughty ∧ selfish ∧ intellectual ⇒ fragile” because missing: naughty, selfish, intellectual.
   Cannot apply rule “curious ∧ ambitious ∧ naughty ⇒ fragile” because missing: curious, ambitious, naughty.
   Cannot apply rule “comfortable ⇒ fragile” because missing: comfortable.
",0,4
"Facts:  Alice is alert [PERIOD] Alice is fine [PERIOD] Alice is shiny [PERIOD] Alice is inexpensive [PERIOD] Alice is hilarious [PERIOD] Alice is reserved [PERIOD] Alice is versatile [PERIOD] Alice is sensible [PERIOD] Alice is confident [PERIOD] Alice is frightened [PERIOD] Alice is frantic [PERIOD] Alice is serious [PERIOD]
Rules:
fine [AND] versatile [IMPLY] gifted [PERIOD]
ambitious [IMPLY] frightened [PERIOD]
inexpensive [IMPLY] sensible [PERIOD]
gifted [AND] tidy [AND] diplomatic [IMPLY] frantic [PERIOD]
frantic [AND] gifted [IMPLY] loving [PERIOD]
alert [AND] confident [AND] rude [IMPLY] tidy [PERIOD]
diplomatic [IMPLY] sensible [PERIOD]
crowded [AND] gifted [AND] tidy [IMPLY] frantic [PERIOD]
rude [AND] inexpensive [AND] versatile [IMPLY] fine [PERIOD]
sensible [IMPLY] shiny [PERIOD]
gifted [AND] serious [AND] fine [IMPLY] loving [PERIOD]
shiny [AND] crowded [IMPLY] frightened [PERIOD]
inexpensive [AND] gifted [AND] diplomatic [IMPLY] ambitious [PERIOD]
pleasant [AND] hilarious [AND] frightened [IMPLY] versatile [PERIOD]
diplomatic [AND] fearless [AND] sensible [IMPLY] crowded [PERIOD]
serious [AND] loving [AND] hilarious [IMPLY] fearless [PERIOD]
gifted [AND] confident [AND] ambitious [IMPLY] tidy [PERIOD]
versatile [IMPLY] fine [PERIOD]
alert [AND] sensible [IMPLY] frantic [PERIOD]
frightened [AND] ambitious [AND] reserved [IMPLY] tidy [PERIOD]
alert [AND] crowded [IMPLY] tidy [PERIOD]
inexpensive [AND] diplomatic [IMPLY] frantic [PERIOD]
vivacious [IMPLY] versatile [PERIOD]
tidy [AND] fearless [AND] versatile [IMPLY] hilarious [PERIOD]
frightened [AND] crowded [IMPLY] serious [PERIOD]
frightened [AND] fearless [AND] rude [IMPLY] loving [PERIOD]
fine [IMPLY] serious [PERIOD]
serious [AND] shiny [AND] sensible [IMPLY] alert [PERIOD]
confident [AND] diplomatic [IMPLY] pleasant [PERIOD]
enchanting [AND] frantic [AND] shiny [IMPLY] versatile [PERIOD]
fearless [AND] rude [AND] sensible [IMPLY] fine [PERIOD]
enchanting [IMPLY] alert [PERIOD]
hilarious [AND] pleasant [IMPLY] shiny [PERIOD]
crowded [AND] confident [AND] pleasant [IMPLY] shiny [PERIOD]
gifted [AND] ambitious [IMPLY] inexpensive [PERIOD]
loving [AND] vivacious [IMPLY] reserved [PERIOD]
confident [IMPLY] serious [PERIOD]
fine [AND] fearless [IMPLY] serious [PERIOD]
ambitious [IMPLY] fine [PERIOD]
loving [IMPLY] diplomatic [PERIOD]
alert [AND] hilarious [AND] reserved [IMPLY] ambitious [PERIOD]
fine [AND] serious [IMPLY] alert [PERIOD]
frightened [AND] frantic [IMPLY] hilarious [PERIOD]
serious [AND] reserved [AND] hilarious [IMPLY] gifted [PERIOD]
inexpensive [AND] confident [IMPLY] fine [PERIOD]
diplomatic [IMPLY] ambitious [PERIOD]
shiny [IMPLY] hilarious [PERIOD]
crowded [AND] reserved [IMPLY] frightened [PERIOD]
gifted [IMPLY] pleasant [PERIOD]
gifted [AND] enchanting [AND] serious [IMPLY] reserved [PERIOD]
frantic [AND] serious [IMPLY] alert [PERIOD]
confident [AND] crowded [IMPLY] hilarious [PERIOD]
pleasant [AND] ambitious [AND] frantic [IMPLY] inexpensive [PERIOD]
confident [IMPLY] frightened [PERIOD]
fearless [AND] frightened [AND] rude [IMPLY] fine [PERIOD]
inexpensive [AND] shiny [IMPLY] vivacious [PERIOD]
pleasant [AND] tidy [AND] gifted [IMPLY] loving [PERIOD]
versatile [AND] inexpensive [IMPLY] confident [PERIOD]
sensible [AND] alert [AND] tidy [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] confident [PERIOD]
rude [AND] pleasant [AND] fine [IMPLY] crowded [PERIOD]
sensible [AND] shiny [AND] loving [IMPLY] serious [PERIOD]
ambitious [AND] pleasant [IMPLY] diplomatic [PERIOD]
versatile [IMPLY] shiny [PERIOD]
enchanting [AND] ambitious [IMPLY] confident [PERIOD]
alert [IMPLY] enchanting [PERIOD]
frantic [AND] reserved [IMPLY] diplomatic [PERIOD]
sensible [IMPLY] frantic [PERIOD]
alert [AND] inexpensive [IMPLY] shiny [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   frantic ∧ reserved ⇒ diplomatic
   serious ∧ reserved ∧ hilarious ⇒ gifted
   frantic ∧ gifted ⇒ loving
   serious ∧ loving ∧ hilarious ⇒ fearless
   diplomatic ∧ fearless ∧ sensible ⇒ crowded
",1,5
"Facts:  Alice is tender [PERIOD] Alice is tense [PERIOD] Alice is innocent [PERIOD] Alice is worrisome [PERIOD]
Rules:
bright [IMPLY] troubled [PERIOD]
silly [AND] jittery [IMPLY] bright [PERIOD]
confident [AND] frantic [AND] joyous [IMPLY] alert [PERIOD]
dishonest [AND] worrisome [IMPLY] glamorous [PERIOD]
silly [AND] confident [IMPLY] curious [PERIOD]
curious [AND] glamorous [AND] jittery [IMPLY] blushing [PERIOD]
joyous [IMPLY] alert [PERIOD]
dishonest [IMPLY] excited [PERIOD]
tender [IMPLY] curious [PERIOD]
tense [IMPLY] tender [PERIOD]
alert [IMPLY] confident [PERIOD]
silly [IMPLY] selfish [PERIOD]
alert [AND] zealous [IMPLY] bright [PERIOD]
troubled [IMPLY] glamorous [PERIOD]
blushing [IMPLY] troubled [PERIOD]
selfish [AND] glamorous [AND] jittery [IMPLY] excited [PERIOD]
jittery [AND] troubled [AND] tense [IMPLY] excited [PERIOD]
blushing [AND] joyous [IMPLY] tense [PERIOD]
blushing [AND] joyous [IMPLY] selfish [PERIOD]
tense [AND] outrageous [AND] jittery [IMPLY] glamorous [PERIOD]
tense [AND] innocent [IMPLY] alert [PERIOD]
frantic [IMPLY] joyous [PERIOD]
selfish [AND] troubled [IMPLY] blushing [PERIOD]
troubled [AND] bright [AND] tense [IMPLY] worrisome [PERIOD]
excited [AND] glamorous [IMPLY] bright [PERIOD]
glamorous [AND] alert [IMPLY] tender [PERIOD]
glamorous [AND] dishonest [IMPLY] zealous [PERIOD]
selfish [AND] curious [AND] zealous [IMPLY] bright [PERIOD]
frantic [AND] blushing [AND] joyous [IMPLY] excited [PERIOD]
tender [AND] blushing [AND] jittery [IMPLY] tense [PERIOD]
dishonest [AND] worrisome [AND] zealous [IMPLY] joyous [PERIOD]
confident [AND] tense [AND] bright [IMPLY] joyous [PERIOD]
dishonest [IMPLY] jittery [PERIOD]
zealous [AND] innocent [AND] worrisome [IMPLY] glamorous [PERIOD]
silly [AND] joyous [IMPLY] zealous [PERIOD]
tense [IMPLY] glamorous [PERIOD]
blushing [AND] dishonest [AND] tense [IMPLY] glamorous [PERIOD]
joyous [IMPLY] dishonest [PERIOD]
troubled [AND] dishonest [IMPLY] outrageous [PERIOD]
selfish [AND] joyous [IMPLY] silly [PERIOD]
tense [AND] joyous [IMPLY] alert [PERIOD]
zealous [AND] blushing [IMPLY] troubled [PERIOD]
frantic [AND] dishonest [AND] joyous [IMPLY] zealous [PERIOD]
frantic [IMPLY] curious [PERIOD]
dishonest [IMPLY] joyous [PERIOD]
selfish [AND] joyous [IMPLY] troubled [PERIOD]
zealous [IMPLY] selfish [PERIOD]
zealous [IMPLY] worrisome [PERIOD]
jittery [IMPLY] innocent [PERIOD]
confident [IMPLY] silly [PERIOD]
troubled [IMPLY] dishonest [PERIOD]
outrageous [IMPLY] alert [PERIOD]
dishonest [AND] innocent [IMPLY] worrisome [PERIOD]
blushing [AND] curious [IMPLY] dishonest [PERIOD]
curious [AND] tender [AND] tense [IMPLY] troubled [PERIOD]
blushing [IMPLY] silly [PERIOD]
outrageous [AND] jittery [IMPLY] bright [PERIOD]
outrageous [AND] joyous [IMPLY] tender [PERIOD]
dishonest [AND] frantic [AND] selfish [IMPLY] troubled [PERIOD]
frantic [AND] joyous [IMPLY] glamorous [PERIOD]
alert [AND] bright [AND] frantic [IMPLY] selfish [PERIOD]
zealous [IMPLY] tender [PERIOD]
zealous [IMPLY] tense [PERIOD]
confident [AND] tender [IMPLY] troubled [PERIOD]
blushing [IMPLY] outrageous [PERIOD]
jittery [AND] excited [AND] troubled [IMPLY] worrisome [PERIOD]
tense [AND] worrisome [IMPLY] innocent [PERIOD]
innocent [AND] alert [AND] outrageous [IMPLY] excited [PERIOD]
outrageous [AND] jittery [AND] worrisome [IMPLY] alert [PERIOD]
alert [AND] curious [AND] frantic [IMPLY] innocent [PERIOD]
selfish [AND] excited [AND] alert [IMPLY] bright [PERIOD]
joyous [AND] excited [IMPLY] troubled [PERIOD]
troubled [AND] bright [AND] selfish [IMPLY] zealous [PERIOD]
zealous [AND] selfish [IMPLY] troubled [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   tender ⇒ curious
   tense ⇒ glamorous
   tender ⇒ curious
   curious ∧ tender ∧ tense ⇒ troubled
   troubled ⇒ dishonest
   dishonest ⇒ jittery
   curious ∧ glamorous ∧ jittery ⇒ blushing
",1,7
"Facts:  Alice is cooperative [PERIOD]
Rules:
precious [AND] fragile [AND] ambitious [IMPLY] mysterious [PERIOD]
cooperative [AND] precious [IMPLY] friendly [PERIOD]
fragile [IMPLY] plain [PERIOD]
beautiful [IMPLY] ambitious [PERIOD]
beautiful [IMPLY] mysterious [PERIOD]
plain [IMPLY] foolish [PERIOD]
distinct [AND] beautiful [IMPLY] friendly [PERIOD]
distinct [AND] foolish [IMPLY] cooperative [PERIOD]
friendly [AND] foolish [IMPLY] ambitious [PERIOD]
beautiful [AND] mysterious [IMPLY] precious [PERIOD]
cooperative [AND] friendly [IMPLY] precious [PERIOD]
ambitious [AND] distinct [IMPLY] plain [PERIOD]
cooperative [AND] precious [AND] fragile [IMPLY] distinct [PERIOD]
cooperative [AND] plain [IMPLY] distinct [PERIOD]
beautiful [AND] distinct [IMPLY] ambitious [PERIOD]
beautiful [IMPLY] precious [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   Cannot apply rule “plain ⇒ foolish” because missing: plain.
",0,1
"Facts:  Alice is careless [PERIOD] Alice is impartial [PERIOD]
Rules:
talkative [AND] serious [IMPLY] distinct [PERIOD]
anxious [AND] uptight [AND] worried [IMPLY] talkative [PERIOD]
selfish [AND] excited [IMPLY] serious [PERIOD]
modern [AND] cooperative [AND] excited [IMPLY] talkative [PERIOD]
attentive [AND] impartial [IMPLY] modern [PERIOD]
talkative [IMPLY] careless [PERIOD]
anxious [AND] worried [IMPLY] careless [PERIOD]
anxious [AND] cooperative [IMPLY] attentive [PERIOD]
careless [AND] worried [AND] distinct [IMPLY] messy [PERIOD]
excited [AND] talkative [AND] messy [IMPLY] worried [PERIOD]
careless [IMPLY] distinct [PERIOD]
worried [AND] uptight [AND] talkative [IMPLY] distinct [PERIOD]
selfish [AND] impartial [IMPLY] distinct [PERIOD]
impartial [AND] careless [AND] talkative [IMPLY] anxious [PERIOD]
attentive [IMPLY] distinct [PERIOD]
attentive [IMPLY] modern [PERIOD]
messy [AND] cooperative [IMPLY] talkative [PERIOD]
anxious [IMPLY] attentive [PERIOD]
impartial [AND] selfish [AND] uptight [IMPLY] distinct [PERIOD]
modern [AND] careless [AND] serious [IMPLY] distinct [PERIOD]
impartial [AND] excited [IMPLY] talkative [PERIOD]
cooperative [AND] attentive [IMPLY] selfish [PERIOD]
anxious [IMPLY] messy [PERIOD]
careless [AND] selfish [IMPLY] anxious [PERIOD]
worried [IMPLY] serious [PERIOD]
talkative [AND] attentive [AND] excited [IMPLY] modern [PERIOD]
impartial [AND] worried [IMPLY] serious [PERIOD]
attentive [AND] serious [AND] cooperative [IMPLY] selfish [PERIOD]
distinct [AND] worried [IMPLY] messy [PERIOD]
anxious [AND] messy [IMPLY] careless [PERIOD]
anxious [AND] worried [AND] impartial [IMPLY] messy [PERIOD]
worried [AND] attentive [AND] uptight [IMPLY] messy [PERIOD]
messy [AND] talkative [IMPLY] uptight [PERIOD]
distinct [IMPLY] uptight [PERIOD]
excited [IMPLY] messy [PERIOD]
worried [AND] selfish [IMPLY] distinct [PERIOD]
serious [AND] impartial [IMPLY] distinct [PERIOD]
impartial [IMPLY] talkative [PERIOD]
cooperative [IMPLY] worried [PERIOD]
distinct [AND] talkative [AND] uptight [IMPLY] careless [PERIOD]
worried [AND] impartial [IMPLY] talkative [PERIOD]
careless [AND] uptight [AND] distinct [IMPLY] serious [PERIOD]
excited [AND] modern [IMPLY] worried [PERIOD]
anxious [AND] modern [AND] serious [IMPLY] selfish [PERIOD]
uptight [IMPLY] messy [PERIOD]
excited [AND] worried [AND] talkative [IMPLY] attentive [PERIOD]
excited [AND] impartial [IMPLY] attentive [PERIOD]
cooperative [AND] anxious [AND] uptight [IMPLY] serious [PERIOD]
cooperative [IMPLY] messy [PERIOD]
excited [AND] modern [AND] worried [IMPLY] impartial [PERIOD]
anxious [AND] cooperative [IMPLY] messy [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   careless ⇒ distinct
   distinct ⇒ uptight
   careless ⇒ distinct
   careless ∧ uptight ∧ distinct ⇒ serious
",1,4
"Facts:  Alice is average [PERIOD]
Rules:
vivacious [AND] wide-eyed [IMPLY] rational [PERIOD]
vivacious [AND] average [IMPLY] naughty [PERIOD]
innocent [AND] calm [AND] outstanding [IMPLY] spotless [PERIOD]
calm [AND] vivacious [AND] combative [IMPLY] tense [PERIOD]
frail [AND] joyous [AND] average [IMPLY] perfect [PERIOD]
excited [AND] glamorous [IMPLY] elegant [PERIOD]
tense [AND] rational [IMPLY] long [PERIOD]
famous [AND] long [IMPLY] tense [PERIOD]
talkative [IMPLY] outstanding [PERIOD]
lucky [AND] crowded [IMPLY] long [PERIOD]
famous [IMPLY] combative [PERIOD]
unpleasant [AND] elegant [AND] joyous [IMPLY] combative [PERIOD]
proud [IMPLY] frail [PERIOD]
elegant [IMPLY] excited [PERIOD]
unpleasant [AND] naughty [AND] elegant [IMPLY] spotless [PERIOD]
crowded [AND] joyous [AND] frail [IMPLY] long [PERIOD]
wrong [IMPLY] tense [PERIOD]
rational [IMPLY] wide-eyed [PERIOD]
unpleasant [IMPLY] elegant [PERIOD]
stormy [IMPLY] condemned [PERIOD]
wrong [IMPLY] perfect [PERIOD]
rational [AND] calm [AND] famous [IMPLY] spotless [PERIOD]
talkative [AND] lucky [IMPLY] famous [PERIOD]
average [AND] innocent [AND] outstanding [IMPLY] long [PERIOD]
plain [AND] combative [AND] outstanding [IMPLY] condemned [PERIOD]
stormy [AND] tense [IMPLY] vivacious [PERIOD]
perfect [AND] famous [IMPLY] calm [PERIOD]
average [IMPLY] talkative [PERIOD]
innocent [IMPLY] vivacious [PERIOD]
wrong [AND] perfect [AND] joyous [IMPLY] plain [PERIOD]
crowded [AND] tense [IMPLY] proud [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   average ⇒ talkative
   talkative ⇒ outstanding
   Cannot apply rule “innocent ∧ calm ∧ outstanding ⇒ spotless” because missing: innocent, calm.
   Cannot apply rule “unpleasant ∧ naughty ∧ elegant ⇒ spotless” because missing: unpleasant, naughty, elegant.
   Cannot apply rule “rational ∧ calm ∧ famous ⇒ spotless” because missing: rational, calm, famous.
",0,5
"Facts: 
Rules:
cruel [AND] perfect [IMPLY] hypocritical [PERIOD]
homely [AND] sincere [IMPLY] busy [PERIOD]
busy [AND] perfect [IMPLY] fragile [PERIOD]
fancy [IMPLY] lucky [PERIOD]
cruel [AND] clumsy [AND] exuberant [IMPLY] disgusted [PERIOD]
exuberant [IMPLY] busy [PERIOD]
fancy [AND] hypocritical [IMPLY] clumsy [PERIOD]
sincere [IMPLY] talkative [PERIOD]
lucky [AND] disgusted [IMPLY] homely [PERIOD]
fancy [IMPLY] cruel [PERIOD]
homely [IMPLY] exuberant [PERIOD]
busy [AND] clumsy [IMPLY] cruel [PERIOD]
homely [AND] fancy [AND] sincere [IMPLY] disgusted [PERIOD]
disgusted [AND] cruel [IMPLY] hypocritical [PERIOD]
fancy [AND] cruel [AND] sincere [IMPLY] clumsy [PERIOD]
talkative [AND] sincere [AND] disgusted [IMPLY] busy [PERIOD]
clumsy [IMPLY] fancy [PERIOD]
sincere [AND] hypocritical [IMPLY] perfect [PERIOD]
perfect [AND] fancy [IMPLY] stormy [PERIOD]
exuberant [AND] clumsy [IMPLY] talkative [PERIOD]
fragile [AND] lucky [IMPLY] exuberant [PERIOD]
homely [AND] sincere [IMPLY] cruel [PERIOD]
stormy [IMPLY] sincere [PERIOD]
disgusted [IMPLY] sincere [PERIOD]
perfect [AND] talkative [IMPLY] hypocritical [PERIOD]
lucky [AND] fragile [AND] perfect [IMPLY] stormy [PERIOD]
stormy [AND] homely [IMPLY] exuberant [PERIOD]
lucky [AND] sincere [IMPLY] cruel [PERIOD]
stormy [IMPLY] fragile [PERIOD]
homely [AND] talkative [AND] hypocritical [IMPLY] sincere [PERIOD]
busy [AND] exuberant [IMPLY] cruel [PERIOD]
hypocritical [AND] exuberant [AND] homely [IMPLY] disgusted [PERIOD]
lucky [AND] sincere [AND] exuberant [IMPLY] disgusted [PERIOD]
talkative [AND] clumsy [IMPLY] perfect [PERIOD]
sincere [IMPLY] cruel [PERIOD]
sincere [AND] lucky [IMPLY] busy [PERIOD]
clumsy [AND] lucky [AND] busy [IMPLY] perfect [PERIOD]
fragile [AND] exuberant [IMPLY] fancy [PERIOD]
exuberant [IMPLY] sincere [PERIOD]
perfect [AND] fancy [IMPLY] fragile [PERIOD]
fancy [AND] exuberant [IMPLY] cruel [PERIOD]
stormy [IMPLY] disgusted [PERIOD]
homely [IMPLY] stormy [PERIOD]
cruel [AND] clumsy [IMPLY] sincere [PERIOD]
cruel [IMPLY] clumsy [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
   Cannot apply rule “homely ∧ sincere ⇒ busy” because missing: homely, sincere.
   Cannot apply rule “exuberant ⇒ busy” because missing: exuberant.
   Cannot apply rule “talkative ∧ sincere ∧ disgusted ⇒ busy” because missing: talkative, sincere, disgusted.
   Cannot apply rule “sincere ∧ lucky ⇒ busy” because missing: sincere, lucky.
",0,4
"Facts:  Alice is bored [PERIOD] Alice is strange [PERIOD] Alice is spotless [PERIOD] Alice is adorable [PERIOD] Alice is good [PERIOD] Alice is outrageous [PERIOD] Alice is stormy [PERIOD] Alice is versatile [PERIOD]
Rules:
distinct [AND] average [IMPLY] bored [PERIOD]
distinct [AND] bored [AND] versatile [IMPLY] stormy [PERIOD]
mysterious [AND] powerful [IMPLY] good [PERIOD]
distinct [IMPLY] adorable [PERIOD]
bossy [IMPLY] polite [PERIOD]
lucky [AND] good [AND] intellectual [IMPLY] bossy [PERIOD]
stormy [AND] spotless [IMPLY] foolish [PERIOD]
hypocritical [AND] calm [IMPLY] spotless [PERIOD]
polite [AND] strange [AND] intellectual [IMPLY] outrageous [PERIOD]
good [AND] adorable [IMPLY] hypocritical [PERIOD]
intellectual [AND] spotless [IMPLY] lucky [PERIOD]
hypocritical [AND] mysterious [AND] crowded [IMPLY] versatile [PERIOD]
adorable [AND] strange [AND] good [IMPLY] bored [PERIOD]
polite [AND] powerful [AND] calm [IMPLY] hypocritical [PERIOD]
spotless [AND] lucky [IMPLY] good [PERIOD]
foolish [IMPLY] mysterious [PERIOD]
average [IMPLY] strange [PERIOD]
different [IMPLY] crowded [PERIOD]
combative [IMPLY] stormy [PERIOD]
versatile [IMPLY] foolish [PERIOD]
foolish [AND] distinct [AND] lucky [IMPLY] plain [PERIOD]
plain [IMPLY] lucky [PERIOD]
average [AND] mysterious [AND] sleepy [IMPLY] different [PERIOD]
average [IMPLY] foolish [PERIOD]
crowded [AND] hypocritical [IMPLY] average [PERIOD]
good [IMPLY] different [PERIOD]
outrageous [AND] bored [IMPLY] strange [PERIOD]
adorable [AND] spotless [IMPLY] strange [PERIOD]
spotless [IMPLY] stormy [PERIOD]
outrageous [AND] average [AND] plain [IMPLY] foolish [PERIOD]
average [IMPLY] bossy [PERIOD]
outrageous [IMPLY] versatile [PERIOD]
mysterious [IMPLY] spotless [PERIOD]
versatile [AND] lucky [IMPLY] hypocritical [PERIOD]
average [AND] distinct [AND] bossy [IMPLY] hypocritical [PERIOD]
crowded [AND] intellectual [AND] foolish [IMPLY] spotless [PERIOD]
bossy [AND] calm [AND] plain [IMPLY] polite [PERIOD]
versatile [AND] bored [IMPLY] foolish [PERIOD]
hypocritical [IMPLY] mysterious [PERIOD]
spotless [IMPLY] calm [PERIOD]
bossy [AND] outrageous [AND] stormy [IMPLY] distinct [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   good ⇒ different
   different ⇒ crowded
   good ∧ adorable ⇒ hypocritical
   crowded ∧ hypocritical ⇒ average
",1,4
"Facts:  Alice is old-fashioned [PERIOD] Alice is quaint [PERIOD] Alice is uptight [PERIOD] Alice is good [PERIOD] Alice is condemned [PERIOD] Alice is disobedient [PERIOD]
Rules:
polite [AND] frail [AND] disobedient [IMPLY] homely [PERIOD]
different [AND] condemned [IMPLY] polite [PERIOD]
homely [AND] straightforward [IMPLY] frantic [PERIOD]
disobedient [AND] condemned [IMPLY] charming [PERIOD]
muddy [AND] elegant [IMPLY] good [PERIOD]
cruel [AND] different [IMPLY] tame [PERIOD]
quaint [IMPLY] tame [PERIOD]
uptight [AND] bad-tempered [IMPLY] condemned [PERIOD]
quaint [AND] popular [IMPLY] good [PERIOD]
disobedient [IMPLY] victorious [PERIOD]
cruel [AND] good [AND] frantic [IMPLY] popular [PERIOD]
clumsy [AND] lonely [AND] charming [IMPLY] quaint [PERIOD]
lonely [IMPLY] uptight [PERIOD]
homely [AND] good [AND] old-fashioned [IMPLY] frantic [PERIOD]
uptight [IMPLY] old-fashioned [PERIOD]
bad-tempered [AND] scared [IMPLY] good [PERIOD]
troubled [IMPLY] frantic [PERIOD]
different [AND] condemned [AND] frantic [IMPLY] stormy [PERIOD]
condemned [AND] quaint [AND] straightforward [IMPLY] good [PERIOD]
frail [AND] popular [IMPLY] frantic [PERIOD]
elegant [IMPLY] condemned [PERIOD]
popular [IMPLY] homely [PERIOD]
polite [AND] disobedient [IMPLY] victorious [PERIOD]
scared [AND] cruel [AND] muddy [IMPLY] homely [PERIOD]
good [IMPLY] disobedient [PERIOD]
old-fashioned [AND] charming [AND] stormy [IMPLY] cruel [PERIOD]
different [AND] muddy [IMPLY] old-fashioned [PERIOD]
polite [AND] uptight [AND] troubled [IMPLY] victorious [PERIOD]
polite [AND] cruel [AND] uptight [IMPLY] charming [PERIOD]
victorious [AND] tame [IMPLY] uptight [PERIOD]
different [IMPLY] muddy [PERIOD]
muddy [AND] clumsy [IMPLY] frail [PERIOD]
old-fashioned [IMPLY] different [PERIOD]
quaint [AND] victorious [AND] homely [IMPLY] frail [PERIOD]
scared [AND] troubled [IMPLY] bad-tempered [PERIOD]
straightforward [AND] elegant [IMPLY] good [PERIOD]
homely [AND] tame [IMPLY] old-fashioned [PERIOD]
different [IMPLY] polite [PERIOD]
homely [AND] quaint [AND] cruel [IMPLY] frantic [PERIOD]
troubled [AND] disobedient [AND] old-fashioned [IMPLY] polite [PERIOD]
different [AND] polite [AND] homely [IMPLY] good [PERIOD]
cruel [AND] frail [AND] elegant [IMPLY] stormy [PERIOD]
victorious [IMPLY] muddy [PERIOD]
straightforward [IMPLY] popular [PERIOD]
scared [AND] disobedient [AND] clumsy [IMPLY] good [PERIOD]
quaint [IMPLY] uptight [PERIOD]
polite [IMPLY] clumsy [PERIOD]
elegant [IMPLY] popular [PERIOD]
old-fashioned [IMPLY] frail [PERIOD]
stormy [IMPLY] popular [PERIOD]
homely [AND] straightforward [IMPLY] disobedient [PERIOD]
disobedient [AND] polite [AND] muddy [IMPLY] frail [PERIOD]
tame [AND] old-fashioned [IMPLY] homely [PERIOD]
quaint [IMPLY] scared [PERIOD]
quaint [AND] uptight [AND] good [IMPLY] stormy [PERIOD]
uptight [AND] condemned [IMPLY] charming [PERIOD]
straightforward [IMPLY] homely [PERIOD]
uptight [IMPLY] frantic [PERIOD]
clumsy [IMPLY] polite [PERIOD]
condemned [AND] troubled [AND] frantic [IMPLY] lonely [PERIOD]
uptight [AND] clumsy [IMPLY] charming [PERIOD]
popular [AND] clumsy [AND] condemned [IMPLY] homely [PERIOD]
straightforward [IMPLY] polite [PERIOD]
elegant [AND] good [IMPLY] troubled [PERIOD]
victorious [IMPLY] condemned [PERIOD]
straightforward [AND] frail [IMPLY] condemned [PERIOD]
charming [AND] old-fashioned [IMPLY] condemned [PERIOD]
disobedient [IMPLY] different [PERIOD]
old-fashioned [AND] tame [IMPLY] good [PERIOD]
polite [AND] bad-tempered [IMPLY] cruel [PERIOD]
charming [IMPLY] stormy [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   disobedient ⇒ different
   different ∧ condemned ⇒ polite
",1,2
"Facts:  Alice is scared [PERIOD] Alice is sleepy [PERIOD] Alice is naughty [PERIOD] Alice is fine [PERIOD] Alice is stormy [PERIOD] Alice is confident [PERIOD] Alice is polite [PERIOD] Alice is gleaming [PERIOD] Alice is selfish [PERIOD] Alice is bright [PERIOD]
Rules:
stormy [AND] good [IMPLY] naughty [PERIOD]
selfish [AND] confident [AND] sleepy [IMPLY] versatile [PERIOD]
agreeable [IMPLY] bright [PERIOD]
bright [AND] gleaming [IMPLY] mysterious [PERIOD]
thoughtless [IMPLY] uptight [PERIOD]
sleepy [AND] good [AND] polite [IMPLY] bright [PERIOD]
selfish [IMPLY] gleaming [PERIOD]
naughty [AND] good [IMPLY] versatile [PERIOD]
uptight [AND] mysterious [AND] selfish [IMPLY] stormy [PERIOD]
sleepy [AND] scared [IMPLY] uptight [PERIOD]
mysterious [AND] sleepy [IMPLY] fine [PERIOD]
mysterious [IMPLY] uptight [PERIOD]
good [AND] gleaming [AND] versatile [IMPLY] thoughtless [PERIOD]
thoughtless [AND] uptight [IMPLY] sleepy [PERIOD]
thoughtless [AND] agreeable [IMPLY] fine [PERIOD]
stormy [IMPLY] scared [PERIOD]
mysterious [AND] versatile [IMPLY] gleaming [PERIOD]
agreeable [AND] pessimistic [IMPLY] polite [PERIOD]
pessimistic [AND] uptight [AND] thoughtless [IMPLY] good [PERIOD]
impatient [AND] polite [AND] fine [IMPLY] mysterious [PERIOD]
pessimistic [AND] attractive [AND] gleaming [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] naughty [PERIOD]
gleaming [IMPLY] scared [PERIOD]
thoughtless [AND] versatile [IMPLY] uptight [PERIOD]
sleepy [AND] hilarious [AND] polite [IMPLY] attractive [PERIOD]
naughty [AND] polite [AND] hilarious [IMPLY] selfish [PERIOD]
sleepy [AND] fine [IMPLY] confident [PERIOD]
scared [IMPLY] fine [PERIOD]
naughty [AND] good [IMPLY] stormy [PERIOD]
gleaming [AND] bright [IMPLY] sleepy [PERIOD]
bright [AND] polite [IMPLY] pessimistic [PERIOD]
stormy [AND] hilarious [IMPLY] uptight [PERIOD]
bright [AND] polite [IMPLY] fine [PERIOD]
mysterious [IMPLY] hilarious [PERIOD]
bright [IMPLY] versatile [PERIOD]
pessimistic [AND] fine [IMPLY] attractive [PERIOD]
mysterious [IMPLY] polite [PERIOD]
stormy [IMPLY] sleepy [PERIOD]
gleaming [AND] fine [AND] selfish [IMPLY] mysterious [PERIOD]
sleepy [IMPLY] selfish [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   bright ∧ polite ⇒ pessimistic
   bright ∧ polite ⇒ pessimistic
   pessimistic ∧ fine ⇒ attractive
   pessimistic ∧ attractive ∧ gleaming ⇒ agreeable
",1,4
"Facts:  Alice is embarrassed [PERIOD]
Rules:
tired [AND] amused [IMPLY] embarrassed [PERIOD]
gifted [AND] plain [IMPLY] wandering [PERIOD]
disobedient [AND] gleaming [IMPLY] hurt [PERIOD]
amused [AND] outrageous [AND] gifted [IMPLY] wandering [PERIOD]
naughty [AND] silly [IMPLY] outrageous [PERIOD]
hurt [AND] gifted [AND] enchanting [IMPLY] fragile [PERIOD]
fragile [IMPLY] dishonest [PERIOD]
hurt [AND] frantic [AND] disobedient [IMPLY] gifted [PERIOD]
gifted [AND] naughty [IMPLY] disobedient [PERIOD]
amused [AND] gifted [IMPLY] attentive [PERIOD]
silly [IMPLY] amused [PERIOD]
embarrassed [AND] enchanting [IMPLY] naughty [PERIOD]
wandering [IMPLY] outstanding [PERIOD]
naughty [AND] wandering [AND] hurt [IMPLY] disobedient [PERIOD]
attentive [IMPLY] embarrassed [PERIOD]
condemned [IMPLY] outstanding [PERIOD]
plain [AND] good [AND] naughty [IMPLY] tired [PERIOD]
amused [IMPLY] condemned [PERIOD]
enchanting [IMPLY] wandering [PERIOD]
enchanting [IMPLY] easy [PERIOD]
fragile [AND] outstanding [IMPLY] amused [PERIOD]
fragile [AND] dishonest [AND] disobedient [IMPLY] amused [PERIOD]
embarrassed [AND] silly [AND] fragile [IMPLY] easy [PERIOD]
wandering [IMPLY] amused [PERIOD]
outrageous [AND] good [IMPLY] disobedient [PERIOD]
condemned [AND] naughty [AND] outrageous [IMPLY] disobedient [PERIOD]
fragile [AND] frantic [AND] outrageous [IMPLY] disobedient [PERIOD]
silly [AND] amused [AND] fearless [IMPLY] frantic [PERIOD]
frantic [IMPLY] amused [PERIOD]
hurt [IMPLY] amused [PERIOD]
plain [IMPLY] condemned [PERIOD]
attentive [AND] fearless [AND] plain [IMPLY] enchanting [PERIOD]
dishonest [IMPLY] gifted [PERIOD]
good [AND] dishonest [IMPLY] fearless [PERIOD]
hurt [AND] disobedient [IMPLY] easy [PERIOD]
embarrassed [AND] fragile [IMPLY] frantic [PERIOD]
silly [AND] dishonest [IMPLY] wandering [PERIOD]
disobedient [IMPLY] embarrassed [PERIOD]
outstanding [IMPLY] outrageous [PERIOD]
plain [AND] easy [AND] wandering [IMPLY] good [PERIOD]
good [IMPLY] fragile [PERIOD]
disobedient [AND] gifted [AND] good [IMPLY] easy [PERIOD]
disobedient [IMPLY] outstanding [PERIOD]
wandering [AND] fragile [IMPLY] naughty [PERIOD]
naughty [IMPLY] embarrassed [PERIOD]
silly [AND] hurt [IMPLY] gleaming [PERIOD]
outstanding [AND] gleaming [IMPLY] condemned [PERIOD]
tired [AND] disobedient [IMPLY] gifted [PERIOD]
dishonest [AND] naughty [IMPLY] tired [PERIOD]
fearless [AND] frantic [AND] outrageous [IMPLY] fragile [PERIOD]
silly [AND] embarrassed [IMPLY] amused [PERIOD]
gifted [AND] silly [AND] tired [IMPLY] wandering [PERIOD]
hurt [IMPLY] enchanting [PERIOD]
plain [IMPLY] outrageous [PERIOD]
outstanding [AND] outrageous [IMPLY] gleaming [PERIOD]
embarrassed [AND] outstanding [AND] condemned [IMPLY] silly [PERIOD]
good [AND] amused [IMPLY] frantic [PERIOD]
good [IMPLY] attentive [PERIOD]
fearless [AND] enchanting [IMPLY] tired [PERIOD]
amused [IMPLY] attentive [PERIOD]
easy [AND] plain [IMPLY] gifted [PERIOD]
gleaming [AND] wandering [IMPLY] gifted [PERIOD]
naughty [AND] good [IMPLY] outstanding [PERIOD]
fearless [AND] gifted [IMPLY] fragile [PERIOD]
amused [AND] outstanding [AND] easy [IMPLY] gifted [PERIOD]
naughty [AND] disobedient [AND] fragile [IMPLY] fearless [PERIOD]
fragile [AND] dishonest [IMPLY] outrageous [PERIOD]
outrageous [AND] fearless [IMPLY] disobedient [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   Cannot apply rule “gifted ∧ naughty ⇒ disobedient” because missing: gifted, naughty.
   Cannot apply rule “naughty ∧ wandering ∧ hurt ⇒ disobedient” because missing: naughty, wandering, hurt.
   Cannot apply rule “outrageous ∧ good ⇒ disobedient” because missing: outrageous, good.
   Cannot apply rule “condemned ∧ naughty ∧ outrageous ⇒ disobedient” because missing: condemned, naughty, outrageous.
   Cannot apply rule “fragile ∧ frantic ∧ outrageous ⇒ disobedient” because missing: fragile, frantic, outrageous.
   Cannot apply rule “outrageous ∧ fearless ⇒ disobedient” because missing: outrageous, fearless.
",0,6
"Facts:  Alice is serious [PERIOD] Alice is agreeable [PERIOD] Alice is mean [PERIOD] Alice is tired [PERIOD] Alice is strange [PERIOD] Alice is polite [PERIOD] Alice is thoughtful [PERIOD]
Rules:
shy [AND] gifted [IMPLY] unpleasant [PERIOD]
ugly [AND] grumpy [AND] polite [IMPLY] long [PERIOD]
thoughtful [IMPLY] hurt [PERIOD]
hurt [AND] strange [AND] grumpy [IMPLY] gifted [PERIOD]
calm [AND] joyous [IMPLY] unpleasant [PERIOD]
serious [AND] agreeable [AND] mean [IMPLY] combative [PERIOD]
long [IMPLY] tired [PERIOD]
polite [AND] hilarious [AND] gifted [IMPLY] ugly [PERIOD]
good [IMPLY] long [PERIOD]
ugly [AND] serious [AND] gifted [IMPLY] unpleasant [PERIOD]
innocent [AND] combative [AND] good [IMPLY] adorable [PERIOD]
calm [IMPLY] serious [PERIOD]
polite [AND] thoughtful [IMPLY] joyous [PERIOD]
ugly [AND] adorable [IMPLY] disgusted [PERIOD]
gifted [AND] grumpy [AND] innocent [IMPLY] shy [PERIOD]
gifted [IMPLY] disgusted [PERIOD]
grumpy [AND] serious [AND] disgusted [IMPLY] strange [PERIOD]
innocent [AND] polite [AND] hilarious [IMPLY] agreeable [PERIOD]
polite [IMPLY] unpleasant [PERIOD]
disgusted [AND] gifted [IMPLY] thoughtful [PERIOD]
strange [AND] disgusted [AND] agreeable [IMPLY] thoughtful [PERIOD]
adorable [IMPLY] mean [PERIOD]
innocent [AND] ugly [IMPLY] gifted [PERIOD]
calm [IMPLY] unpleasant [PERIOD]
Query: Alice is gifted [PERIOD]","Proof chain:
   thoughtful ⇒ hurt
   Cannot apply rule “hurt ∧ strange ∧ grumpy ⇒ gifted” because missing: grumpy.
   Cannot apply rule “innocent ∧ ugly ⇒ gifted” because missing: innocent, ugly.
",0,3
"Facts: 
Rules:
old-fashioned [AND] diplomatic [AND] sleepy [IMPLY] anxious [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   No rule concludes “sleepy.”
",0,1
"Facts: 
Rules:
old-fashioned [AND] curious [IMPLY] good [PERIOD]
thoughtful [IMPLY] old-fashioned [PERIOD]
fragile [IMPLY] curious [PERIOD]
good [AND] fragile [IMPLY] ugliest [PERIOD]
good [AND] curious [IMPLY] talented [PERIOD]
innocent [IMPLY] curious [PERIOD]
popular [IMPLY] innocent [PERIOD]
popular [IMPLY] good [PERIOD]
tender [IMPLY] fragile [PERIOD]
talented [AND] old-fashioned [IMPLY] innocent [PERIOD]
old-fashioned [AND] tender [IMPLY] diplomatic [PERIOD]
thoughtful [AND] talented [IMPLY] popular [PERIOD]
tender [IMPLY] diplomatic [PERIOD]
diplomatic [AND] curious [AND] old-fashioned [IMPLY] tender [PERIOD]
fragile [AND] popular [AND] straightforward [IMPLY] tender [PERIOD]
old-fashioned [IMPLY] talented [PERIOD]
thoughtful [AND] old-fashioned [IMPLY] innocent [PERIOD]
good [IMPLY] innocent [PERIOD]
curious [IMPLY] ugliest [PERIOD]
diplomatic [AND] old-fashioned [IMPLY] curious [PERIOD]
diplomatic [AND] fragile [IMPLY] good [PERIOD]
diplomatic [AND] innocent [IMPLY] good [PERIOD]
popular [AND] straightforward [IMPLY] ugliest [PERIOD]
old-fashioned [AND] good [AND] tender [IMPLY] straightforward [PERIOD]
old-fashioned [AND] innocent [IMPLY] straightforward [PERIOD]
innocent [IMPLY] old-fashioned [PERIOD]
talented [IMPLY] good [PERIOD]
popular [AND] fragile [AND] ugliest [IMPLY] good [PERIOD]
good [AND] talented [IMPLY] diplomatic [PERIOD]
talented [IMPLY] tender [PERIOD]
old-fashioned [AND] good [IMPLY] fragile [PERIOD]
innocent [AND] tender [IMPLY] good [PERIOD]
straightforward [IMPLY] talented [PERIOD]
curious [IMPLY] talented [PERIOD]
old-fashioned [IMPLY] popular [PERIOD]
thoughtful [IMPLY] ugliest [PERIOD]
tender [IMPLY] innocent [PERIOD]
talented [IMPLY] old-fashioned [PERIOD]
diplomatic [IMPLY] thoughtful [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
   Cannot apply rule “old-fashioned ∧ curious ⇒ good” because missing: old-fashioned, curious.
   Cannot apply rule “popular ⇒ good” because missing: popular.
   Cannot apply rule “diplomatic ∧ fragile ⇒ good” because missing: diplomatic, fragile.
   Cannot apply rule “diplomatic ∧ innocent ⇒ good” because missing: diplomatic, innocent.
   Cannot apply rule “talented ⇒ good” because missing: talented.
   Cannot apply rule “popular ∧ fragile ∧ ugliest ⇒ good” because missing: popular, fragile, ugliest.
   Cannot apply rule “innocent ∧ tender ⇒ good” because missing: innocent, tender.
",0,7
"Facts: 
Rules:
proud [AND] curious [AND] confident [IMPLY] disgusted [PERIOD]
disgusted [AND] diplomatic [AND] confident [IMPLY] curious [PERIOD]
diplomatic [IMPLY] curious [PERIOD]
diplomatic [AND] curious [IMPLY] proud [PERIOD]
diplomatic [IMPLY] disgusted [PERIOD]
proud [AND] confident [AND] average [IMPLY] diplomatic [PERIOD]
diplomatic [AND] average [AND] confident [IMPLY] disgusted [PERIOD]
diplomatic [AND] curious [IMPLY] confident [PERIOD]
proud [AND] disgusted [AND] average [IMPLY] confident [PERIOD]
curious [AND] proud [IMPLY] disgusted [PERIOD]
diplomatic [AND] disgusted [IMPLY] proud [PERIOD]
disgusted [AND] confident [AND] curious [IMPLY] diplomatic [PERIOD]
curious [AND] diplomatic [AND] disgusted [IMPLY] proud [PERIOD]
average [AND] diplomatic [AND] proud [IMPLY] confident [PERIOD]
average [AND] diplomatic [IMPLY] curious [PERIOD]
proud [IMPLY] curious [PERIOD]
curious [AND] proud [IMPLY] diplomatic [PERIOD]
proud [IMPLY] diplomatic [PERIOD]
diplomatic [IMPLY] average [PERIOD]
average [AND] disgusted [IMPLY] curious [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   Cannot apply rule “diplomatic ⇒ average” because missing: diplomatic.
",0,1
"Facts:  Alice is enchanting [PERIOD] Alice is comfortable [PERIOD]
Rules:
average [AND] reserved [IMPLY] comfortable [PERIOD]
troubled [AND] strange [IMPLY] average [PERIOD]
average [IMPLY] comfortable [PERIOD]
comfortable [AND] troubled [IMPLY] spotless [PERIOD]
disobedient [AND] spotless [IMPLY] famous [PERIOD]
famous [AND] average [IMPLY] outrageous [PERIOD]
average [AND] comfortable [AND] troubled [IMPLY] outrageous [PERIOD]
reserved [IMPLY] famous [PERIOD]
disobedient [IMPLY] average [PERIOD]
disobedient [AND] elegant [IMPLY] enchanting [PERIOD]
outrageous [AND] spotless [IMPLY] famous [PERIOD]
enchanting [AND] famous [AND] tired [IMPLY] spotless [PERIOD]
strange [AND] tired [AND] reserved [IMPLY] elegant [PERIOD]
troubled [AND] spotless [IMPLY] tired [PERIOD]
outrageous [AND] elegant [IMPLY] tired [PERIOD]
famous [IMPLY] elegant [PERIOD]
average [AND] disobedient [AND] enchanting [IMPLY] strange [PERIOD]
average [IMPLY] famous [PERIOD]
spotless [IMPLY] enchanting [PERIOD]
reserved [IMPLY] strange [PERIOD]
disobedient [AND] reserved [IMPLY] spotless [PERIOD]
outrageous [AND] strange [AND] reserved [IMPLY] average [PERIOD]
famous [IMPLY] reserved [PERIOD]
enchanting [AND] spotless [IMPLY] average [PERIOD]
disobedient [AND] strange [IMPLY] troubled [PERIOD]
troubled [AND] disobedient [IMPLY] comfortable [PERIOD]
average [AND] spotless [AND] disobedient [IMPLY] comfortable [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   Cannot apply rule “troubled ∧ strange ⇒ average” because missing: troubled, strange.
   Cannot apply rule “disobedient ⇒ average” because missing: disobedient.
   Cannot apply rule “outrageous ∧ strange ∧ reserved ⇒ average” because missing: outrageous, strange, reserved.
   Cannot apply rule “enchanting ∧ spotless ⇒ average” because missing: spotless.
",0,4
"Facts:  Alice is mean [PERIOD] Alice is confused [PERIOD] Alice is pleasant [PERIOD] Alice is bright [PERIOD] Alice is vivacious [PERIOD] Alice is old-fashioned [PERIOD] Alice is impatient [PERIOD]
Rules:
smart [AND] unpleasant [IMPLY] impatient [PERIOD]
stormy [AND] easy [IMPLY] unpleasant [PERIOD]
inexpensive [IMPLY] frantic [PERIOD]
broad-minded [AND] crowded [IMPLY] frantic [PERIOD]
innocent [IMPLY] broad-minded [PERIOD]
old-fashioned [AND] elegant [AND] mean [IMPLY] broad-minded [PERIOD]
elegant [AND] stormy [AND] easy [IMPLY] tired [PERIOD]
inexpensive [AND] wandering [IMPLY] gleaming [PERIOD]
unpleasant [AND] vivacious [IMPLY] innocent [PERIOD]
bright [IMPLY] pleasant [PERIOD]
easy [IMPLY] innocent [PERIOD]
tender [IMPLY] unpleasant [PERIOD]
innocent [AND] talkative [AND] unpleasant [IMPLY] inexpensive [PERIOD]
confused [IMPLY] tender [PERIOD]
gleaming [AND] mean [AND] thoughtless [IMPLY] bright [PERIOD]
innocent [IMPLY] elegant [PERIOD]
vivacious [AND] frantic [IMPLY] thoughtless [PERIOD]
wandering [AND] crowded [IMPLY] easy [PERIOD]
vivacious [AND] pleasant [IMPLY] broad-minded [PERIOD]
unpleasant [IMPLY] tender [PERIOD]
thoughtless [AND] messy [AND] gleaming [IMPLY] bright [PERIOD]
pleasant [AND] precious [AND] broad-minded [IMPLY] impatient [PERIOD]
talkative [IMPLY] unpleasant [PERIOD]
confused [AND] vivacious [AND] mean [IMPLY] tired [PERIOD]
elegant [IMPLY] smart [PERIOD]
impatient [AND] tender [IMPLY] talkative [PERIOD]
confused [AND] thoughtless [IMPLY] tender [PERIOD]
old-fashioned [IMPLY] impatient [PERIOD]
bright [IMPLY] tender [PERIOD]
precious [AND] frantic [AND] innocent [IMPLY] smart [PERIOD]
messy [AND] frantic [IMPLY] gleaming [PERIOD]
unpleasant [AND] frantic [IMPLY] talkative [PERIOD]
bright [IMPLY] broad-minded [PERIOD]
tender [IMPLY] inexpensive [PERIOD]
inexpensive [AND] crowded [AND] broad-minded [IMPLY] messy [PERIOD]
tired [AND] tender [IMPLY] confused [PERIOD]
crowded [AND] easy [AND] tired [IMPLY] elegant [PERIOD]
frantic [IMPLY] bright [PERIOD]
vivacious [AND] pleasant [IMPLY] precious [PERIOD]
innocent [AND] thoughtless [IMPLY] elegant [PERIOD]
mean [IMPLY] messy [PERIOD]
wandering [AND] tired [IMPLY] confused [PERIOD]
impatient [IMPLY] thoughtless [PERIOD]
vivacious [AND] stormy [IMPLY] thoughtless [PERIOD]
vivacious [AND] messy [IMPLY] talkative [PERIOD]
inexpensive [AND] pleasant [AND] old-fashioned [IMPLY] tender [PERIOD]
pleasant [AND] elegant [AND] messy [IMPLY] unpleasant [PERIOD]
confused [AND] messy [IMPLY] stormy [PERIOD]
frantic [AND] innocent [AND] stormy [IMPLY] easy [PERIOD]
talkative [AND] gleaming [AND] crowded [IMPLY] vivacious [PERIOD]
talkative [AND] old-fashioned [AND] innocent [IMPLY] smart [PERIOD]
thoughtless [AND] pleasant [AND] mean [IMPLY] unpleasant [PERIOD]
unpleasant [AND] precious [AND] pleasant [IMPLY] impatient [PERIOD]
thoughtless [IMPLY] messy [PERIOD]
unpleasant [IMPLY] impatient [PERIOD]
thoughtless [IMPLY] stormy [PERIOD]
stormy [AND] precious [AND] easy [IMPLY] messy [PERIOD]
tender [IMPLY] bright [PERIOD]
tender [AND] precious [AND] gleaming [IMPLY] vivacious [PERIOD]
Query: Alice is innocent [PERIOD]","Proof chain:
   bright ⇒ tender
   tender ⇒ unpleasant
   unpleasant ∧ vivacious ⇒ innocent
",1,3
"Facts: 
Rules:
versatile [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] scared [PERIOD]
confident [IMPLY] hilarious [PERIOD]
versatile [IMPLY] stupid [PERIOD]
proud [IMPLY] zealous [PERIOD]
troubled [AND] rude [IMPLY] intellectual [PERIOD]
scared [AND] hilarious [AND] quaint [IMPLY] distinct [PERIOD]
quaint [AND] dull [IMPLY] intellectual [PERIOD]
cruel [AND] muddy [IMPLY] thoughtless [PERIOD]
troubled [AND] bad-tempered [AND] scared [IMPLY] dull [PERIOD]
dull [AND] wrong [IMPLY] cruel [PERIOD]
confident [AND] bad-tempered [IMPLY] proud [PERIOD]
thoughtless [AND] versatile [IMPLY] troubled [PERIOD]
cruel [IMPLY] troubled [PERIOD]
versatile [AND] cruel [IMPLY] bad-tempered [PERIOD]
stupid [AND] confident [AND] cruel [IMPLY] versatile [PERIOD]
frail [AND] dull [AND] intellectual [IMPLY] wrong [PERIOD]
rude [AND] quaint [IMPLY] scared [PERIOD]
friendly [IMPLY] confident [PERIOD]
thoughtless [IMPLY] confident [PERIOD]
versatile [IMPLY] scared [PERIOD]
zealous [AND] versatile [IMPLY] quaint [PERIOD]
confident [IMPLY] stupid [PERIOD]
wrong [AND] versatile [IMPLY] dull [PERIOD]
versatile [AND] zealous [IMPLY] proud [PERIOD]
zealous [IMPLY] rude [PERIOD]
quaint [AND] dull [IMPLY] versatile [PERIOD]
zealous [AND] thoughtless [AND] scared [IMPLY] muddy [PERIOD]
stupid [IMPLY] frail [PERIOD]
rude [IMPLY] muddy [PERIOD]
confident [AND] hilarious [AND] troubled [IMPLY] rude [PERIOD]
frail [AND] scared [AND] troubled [IMPLY] hilarious [PERIOD]
stupid [IMPLY] dull [PERIOD]
distinct [IMPLY] cruel [PERIOD]
cruel [AND] friendly [IMPLY] muddy [PERIOD]
troubled [AND] proud [IMPLY] bad-tempered [PERIOD]
intellectual [AND] wrong [AND] proud [IMPLY] stupid [PERIOD]
stupid [AND] friendly [IMPLY] confident [PERIOD]
bad-tempered [AND] thoughtless [AND] distinct [IMPLY] rude [PERIOD]
bad-tempered [AND] scared [IMPLY] frail [PERIOD]
rude [IMPLY] cruel [PERIOD]
distinct [AND] confident [AND] bad-tempered [IMPLY] proud [PERIOD]
thoughtless [IMPLY] proud [PERIOD]
quaint [AND] frail [IMPLY] hilarious [PERIOD]
frail [AND] dull [AND] troubled [IMPLY] bad-tempered [PERIOD]
hilarious [IMPLY] bad-tempered [PERIOD]
scared [AND] cruel [AND] thoughtless [IMPLY] zealous [PERIOD]
confident [IMPLY] quaint [PERIOD]
dull [AND] frail [AND] cruel [IMPLY] friendly [PERIOD]
thoughtless [IMPLY] wrong [PERIOD]
quaint [AND] wrong [AND] hilarious [IMPLY] cruel [PERIOD]
versatile [AND] zealous [AND] wrong [IMPLY] proud [PERIOD]
cruel [AND] quaint [IMPLY] rude [PERIOD]
scared [IMPLY] dull [PERIOD]
proud [AND] rude [IMPLY] muddy [PERIOD]
proud [IMPLY] distinct [PERIOD]
zealous [IMPLY] stupid [PERIOD]
proud [IMPLY] dull [PERIOD]
thoughtless [AND] intellectual [IMPLY] confident [PERIOD]
proud [AND] dull [IMPLY] cruel [PERIOD]
hilarious [AND] distinct [AND] bad-tempered [IMPLY] thoughtless [PERIOD]
scared [AND] frail [AND] wrong [IMPLY] confident [PERIOD]
quaint [AND] scared [IMPLY] versatile [PERIOD]
muddy [AND] versatile [IMPLY] rude [PERIOD]
friendly [AND] intellectual [IMPLY] cruel [PERIOD]
frail [AND] versatile [AND] confident [IMPLY] intellectual [PERIOD]
rude [IMPLY] hilarious [PERIOD]
bad-tempered [AND] rude [IMPLY] versatile [PERIOD]
distinct [IMPLY] proud [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   Cannot apply rule “versatile ⇒ stupid” because missing: versatile.
   Cannot apply rule “confident ⇒ stupid” because missing: confident.
   Cannot apply rule “intellectual ∧ wrong ∧ proud ⇒ stupid” because missing: intellectual, wrong, proud.
   Cannot apply rule “zealous ⇒ stupid” because missing: zealous.
",0,4
"Facts:  Alice is fine [PERIOD] Alice is fragile [PERIOD] Alice is confident [PERIOD] Alice is thoughtless [PERIOD] Alice is adorable [PERIOD] Alice is crowded [PERIOD] Alice is versatile [PERIOD] Alice is messy [PERIOD] Alice is gleaming [PERIOD] Alice is enchanting [PERIOD] Alice is excited [PERIOD] Alice is polite [PERIOD] Alice is amused [PERIOD] Alice is talented [PERIOD] Alice is witty [PERIOD] Alice is clumsy [PERIOD] Alice is hurt [PERIOD] Alice is cute [PERIOD] Alice is rational [PERIOD] Alice is elegant [PERIOD] Alice is perfect [PERIOD] Alice is stormy [PERIOD]
Rules:
adorable [IMPLY] clumsy [PERIOD]
hurt [IMPLY] gleaming [PERIOD]
clumsy [AND] intellectual [IMPLY] talented [PERIOD]
adorable [IMPLY] glamorous [PERIOD]
perfect [AND] stormy [IMPLY] fine [PERIOD]
adorable [AND] perfect [AND] cruel [IMPLY] fragile [PERIOD]
versatile [AND] troubled [AND] adorable [IMPLY] rational [PERIOD]
glamorous [AND] elegant [AND] crowded [IMPLY] adorable [PERIOD]
witty [AND] talented [IMPLY] cruel [PERIOD]
hurt [AND] exuberant [IMPLY] stormy [PERIOD]
confident [IMPLY] unpleasant [PERIOD]
stormy [AND] intellectual [AND] perfect [IMPLY] witty [PERIOD]
glamorous [AND] perfect [AND] uptight [IMPLY] talented [PERIOD]
clumsy [AND] uptight [AND] elegant [IMPLY] hurt [PERIOD]
confident [AND] amused [AND] exuberant [IMPLY] powerful [PERIOD]
perfect [IMPLY] witty [PERIOD]
amused [IMPLY] fine [PERIOD]
gleaming [IMPLY] troubled [PERIOD]
versatile [IMPLY] gleaming [PERIOD]
glamorous [IMPLY] polite [PERIOD]
confident [IMPLY] cute [PERIOD]
powerful [IMPLY] hurt [PERIOD]
polite [AND] elegant [IMPLY] clumsy [PERIOD]
hurt [IMPLY] glamorous [PERIOD]
intellectual [AND] hurt [IMPLY] versatile [PERIOD]
gleaming [AND] polite [IMPLY] elegant [PERIOD]
thoughtless [IMPLY] adorable [PERIOD]
uptight [AND] hurt [IMPLY] powerful [PERIOD]
exuberant [AND] versatile [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] excited [PERIOD]
amused [IMPLY] witty [PERIOD]
talented [AND] fragile [IMPLY] intellectual [PERIOD]
gleaming [IMPLY] intellectual [PERIOD]
powerful [AND] adorable [IMPLY] elegant [PERIOD]
unpleasant [AND] troubled [AND] perfect [IMPLY] glamorous [PERIOD]
adorable [IMPLY] fine [PERIOD]
cute [AND] polite [IMPLY] stormy [PERIOD]
uptight [IMPLY] witty [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is charming [PERIOD] Alice is clumsy [PERIOD] Alice is powerful [PERIOD]
Rules:
famous [IMPLY] careless [PERIOD]
perfect [AND] foolish [IMPLY] amused [PERIOD]
stupid [IMPLY] excited [PERIOD]
bright [IMPLY] friendly [PERIOD]
bright [AND] excited [IMPLY] broad-minded [PERIOD]
amused [AND] mysterious [IMPLY] bright [PERIOD]
perfect [AND] shy [IMPLY] fearless [PERIOD]
amused [AND] loving [AND] foolish [IMPLY] shy [PERIOD]
stupid [IMPLY] careless [PERIOD]
fancy [IMPLY] broad-minded [PERIOD]
Query: Alice is helpful [PERIOD]","Proof chain:
   No rule concludes “helpful.”
",0,1
"Facts:  Alice is joyous [PERIOD] Alice is thoughtless [PERIOD] Alice is distinct [PERIOD] Alice is light [PERIOD] Alice is frantic [PERIOD] Alice is helpful [PERIOD]
Rules:
light [IMPLY] helpful [PERIOD]
sleepy [AND] stormy [AND] fancy [IMPLY] silly [PERIOD]
thoughtless [AND] distinct [IMPLY] light [PERIOD]
alert [AND] stormy [AND] bossy [IMPLY] light [PERIOD]
bossy [IMPLY] helpful [PERIOD]
joyous [IMPLY] distinct [PERIOD]
joyous [AND] fancy [IMPLY] thoughtless [PERIOD]
alert [AND] silly [AND] thoughtless [IMPLY] distinct [PERIOD]
distinct [IMPLY] frantic [PERIOD]
sincere [AND] fancy [IMPLY] bossy [PERIOD]
joyous [AND] distinct [IMPLY] thoughtless [PERIOD]
sincere [IMPLY] thoughtless [PERIOD]
frantic [AND] helpful [IMPLY] silly [PERIOD]
alert [AND] fancy [AND] sleepy [IMPLY] stormy [PERIOD]
stormy [AND] alert [AND] fancy [IMPLY] silly [PERIOD]
joyous [IMPLY] sleepy [PERIOD]
silly [AND] fancy [AND] sincere [IMPLY] bossy [PERIOD]
sleepy [IMPLY] fancy [PERIOD]
distinct [AND] helpful [IMPLY] frantic [PERIOD]
distinct [AND] sincere [AND] helpful [IMPLY] frantic [PERIOD]
light [IMPLY] thoughtless [PERIOD]
stormy [IMPLY] light [PERIOD]
bossy [AND] alert [AND] distinct [IMPLY] light [PERIOD]
stormy [AND] light [IMPLY] distinct [PERIOD]
distinct [IMPLY] helpful [PERIOD]
silly [IMPLY] joyous [PERIOD]
bossy [AND] sincere [AND] silly [IMPLY] fancy [PERIOD]
fancy [AND] thoughtless [AND] distinct [IMPLY] alert [PERIOD]
alert [AND] bossy [IMPLY] distinct [PERIOD]
bossy [AND] alert [IMPLY] sincere [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   joyous ⇒ sleepy
   sleepy ⇒ fancy
   fancy ∧ thoughtless ∧ distinct ⇒ alert
   joyous ⇒ sleepy
   sleepy ⇒ fancy
   joyous ⇒ sleepy
   alert ∧ fancy ∧ sleepy ⇒ stormy
",1,7
"Facts:  Alice is uptight [PERIOD] Alice is ambitious [PERIOD] Alice is frightened [PERIOD] Alice is old-fashioned [PERIOD] Alice is hypocritical [PERIOD] Alice is anxious [PERIOD] Alice is innocent [PERIOD] Alice is grumpy [PERIOD] Alice is straightforward [PERIOD] Alice is scared [PERIOD] Alice is joyous [PERIOD] Alice is popular [PERIOD] Alice is charming [PERIOD] Alice is pleasant [PERIOD] Alice is horrible [PERIOD] Alice is attentive [PERIOD] Alice is thoughtful [PERIOD] Alice is hurt [PERIOD] Alice is outrageous [PERIOD] Alice is tidy [PERIOD] Alice is disgusted [PERIOD] Alice is gleaming [PERIOD] Alice is bossy [PERIOD]
Rules:
tidy [AND] bossy [IMPLY] pleasant [PERIOD]
bossy [AND] anxious [AND] attentive [IMPLY] charming [PERIOD]
popular [IMPLY] old-fashioned [PERIOD]
straightforward [AND] grumpy [IMPLY] scared [PERIOD]
old-fashioned [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] pleasant [PERIOD]
joyous [AND] thoughtful [AND] popular [IMPLY] innocent [PERIOD]
thoughtful [AND] uptight [AND] frightened [IMPLY] light [PERIOD]
frightened [AND] joyous [IMPLY] bossy [PERIOD]
attentive [IMPLY] straightforward [PERIOD]
grumpy [AND] attentive [AND] hypocritical [IMPLY] thoughtful [PERIOD]
innocent [AND] charming [IMPLY] old-fashioned [PERIOD]
thoughtful [AND] pleasant [IMPLY] attentive [PERIOD]
scared [AND] disgusted [AND] outrageous [IMPLY] innocent [PERIOD]
ambitious [IMPLY] old-fashioned [PERIOD]
scared [IMPLY] horrible [PERIOD]
light [AND] outrageous [IMPLY] attentive [PERIOD]
attentive [AND] grumpy [AND] joyous [IMPLY] anxious [PERIOD]
disgusted [AND] light [AND] horrible [IMPLY] anxious [PERIOD]
bossy [IMPLY] old-fashioned [PERIOD]
gleaming [IMPLY] old-fashioned [PERIOD]
ambitious [AND] grumpy [AND] light [IMPLY] frightened [PERIOD]
attentive [AND] scared [AND] outrageous [IMPLY] old-fashioned [PERIOD]
hurt [AND] straightforward [IMPLY] attentive [PERIOD]
ambitious [AND] old-fashioned [IMPLY] disgusted [PERIOD]
popular [AND] disgusted [IMPLY] hurt [PERIOD]
thoughtful [AND] anxious [AND] gleaming [IMPLY] pleasant [PERIOD]
ambitious [AND] attentive [AND] uptight [IMPLY] joyous [PERIOD]
outrageous [AND] hurt [AND] innocent [IMPLY] gleaming [PERIOD]
gleaming [AND] attentive [IMPLY] hurt [PERIOD]
charming [IMPLY] pleasant [PERIOD]
disgusted [IMPLY] frightened [PERIOD]
bossy [IMPLY] gleaming [PERIOD]
bossy [AND] old-fashioned [AND] tidy [IMPLY] hypocritical [PERIOD]
popular [AND] charming [AND] attentive [IMPLY] horrible [PERIOD]
hypocritical [AND] grumpy [IMPLY] bossy [PERIOD]
bossy [AND] tidy [AND] straightforward [IMPLY] pleasant [PERIOD]
hypocritical [IMPLY] outrageous [PERIOD]
light [AND] innocent [IMPLY] hurt [PERIOD]
light [AND] ambitious [IMPLY] grumpy [PERIOD]
outrageous [AND] horrible [IMPLY] attentive [PERIOD]
ambitious [IMPLY] outrageous [PERIOD]
anxious [AND] horrible [IMPLY] disgusted [PERIOD]
popular [AND] old-fashioned [AND] thoughtful [IMPLY] hypocritical [PERIOD]
hurt [AND] old-fashioned [AND] ambitious [IMPLY] charming [PERIOD]
straightforward [AND] popular [IMPLY] gleaming [PERIOD]
pleasant [AND] anxious [IMPLY] thoughtful [PERIOD]
light [AND] charming [AND] ambitious [IMPLY] disgusted [PERIOD]
gleaming [AND] attentive [IMPLY] innocent [PERIOD]
charming [IMPLY] horrible [PERIOD]
uptight [IMPLY] light [PERIOD]
horrible [IMPLY] grumpy [PERIOD]
hypocritical [AND] horrible [AND] grumpy [IMPLY] joyous [PERIOD]
attentive [AND] bossy [AND] thoughtful [IMPLY] ambitious [PERIOD]
bossy [AND] charming [AND] old-fashioned [IMPLY] scared [PERIOD]
hurt [AND] scared [IMPLY] outrageous [PERIOD]
pleasant [AND] charming [AND] scared [IMPLY] bossy [PERIOD]
ambitious [AND] disgusted [IMPLY] tidy [PERIOD]
old-fashioned [AND] ambitious [IMPLY] thoughtful [PERIOD]
tidy [IMPLY] frightened [PERIOD]
attentive [AND] old-fashioned [AND] popular [IMPLY] horrible [PERIOD]
popular [AND] pleasant [IMPLY] charming [PERIOD]
ambitious [AND] uptight [AND] gleaming [IMPLY] bossy [PERIOD]
hurt [AND] gleaming [IMPLY] attentive [PERIOD]
anxious [AND] thoughtful [IMPLY] disgusted [PERIOD]
horrible [AND] light [AND] old-fashioned [IMPLY] scared [PERIOD]
charming [IMPLY] grumpy [PERIOD]
hypocritical [AND] anxious [AND] ambitious [IMPLY] popular [PERIOD]
anxious [IMPLY] uptight [PERIOD]
uptight [AND] ambitious [AND] charming [IMPLY] hypocritical [PERIOD]
anxious [AND] old-fashioned [AND] attentive [IMPLY] joyous [PERIOD]
outrageous [AND] gleaming [AND] hypocritical [IMPLY] straightforward [PERIOD]
straightforward [AND] thoughtful [IMPLY] grumpy [PERIOD]
scared [AND] innocent [IMPLY] horrible [PERIOD]
bossy [AND] outrageous [IMPLY] popular [PERIOD]
light [AND] horrible [AND] tidy [IMPLY] frightened [PERIOD]
horrible [AND] thoughtful [IMPLY] joyous [PERIOD]
old-fashioned [AND] thoughtful [IMPLY] disgusted [PERIOD]
ambitious [AND] grumpy [IMPLY] joyous [PERIOD]
gleaming [IMPLY] ambitious [PERIOD]
attentive [AND] ambitious [IMPLY] hypocritical [PERIOD]
ambitious [IMPLY] pleasant [PERIOD]
pleasant [AND] ambitious [IMPLY] frightened [PERIOD]
scared [AND] anxious [IMPLY] frightened [PERIOD]
charming [AND] joyous [AND] scared [IMPLY] thoughtful [PERIOD]
joyous [IMPLY] horrible [PERIOD]
tidy [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] anxious [PERIOD]
tidy [AND] popular [IMPLY] gleaming [PERIOD]
hurt [AND] innocent [AND] bossy [IMPLY] thoughtful [PERIOD]
horrible [AND] disgusted [IMPLY] uptight [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is selfish [PERIOD]
Rules:
outstanding [AND] gifted [IMPLY] gorgeous [PERIOD]
frightened [IMPLY] amused [PERIOD]
perfect [AND] unpleasant [AND] spotless [IMPLY] selfish [PERIOD]
exuberant [AND] helpful [IMPLY] shiny [PERIOD]
exuberant [AND] quaint [AND] selfish [IMPLY] gifted [PERIOD]
perfect [AND] frail [IMPLY] sleepy [PERIOD]
exuberant [AND] spotless [AND] powerful [IMPLY] wandering [PERIOD]
sleepy [AND] worrisome [AND] selfish [IMPLY] gifted [PERIOD]
gifted [IMPLY] perfect [PERIOD]
perfect [IMPLY] frightened [PERIOD]
gifted [AND] worrisome [IMPLY] excited [PERIOD]
helpful [AND] attentive [AND] precious [IMPLY] selfish [PERIOD]
amused [AND] tender [AND] unpleasant [IMPLY] disobedient [PERIOD]
perfect [AND] wandering [AND] excited [IMPLY] shiny [PERIOD]
gorgeous [AND] aggressive [AND] spotless [IMPLY] intellectual [PERIOD]
powerful [AND] talkative [AND] selfish [IMPLY] calm [PERIOD]
intellectual [AND] selfish [AND] disobedient [IMPLY] sleepy [PERIOD]
talkative [AND] perfect [IMPLY] calm [PERIOD]
perfect [IMPLY] quaint [PERIOD]
perfect [AND] sleepy [IMPLY] gorgeous [PERIOD]
precious [AND] excited [IMPLY] frightened [PERIOD]
calm [AND] talkative [IMPLY] perfect [PERIOD]
worrisome [IMPLY] powerful [PERIOD]
precious [AND] attentive [AND] perfect [IMPLY] exuberant [PERIOD]
aggressive [AND] exuberant [AND] spotless [IMPLY] tender [PERIOD]
gorgeous [AND] sleepy [AND] disobedient [IMPLY] spotless [PERIOD]
perfect [IMPLY] spotless [PERIOD]
attentive [AND] quaint [IMPLY] precious [PERIOD]
tender [AND] shiny [IMPLY] frightened [PERIOD]
intellectual [IMPLY] witty [PERIOD]
spotless [IMPLY] precious [PERIOD]
powerful [AND] gifted [AND] selfish [IMPLY] spotless [PERIOD]
perfect [AND] frail [AND] disobedient [IMPLY] intellectual [PERIOD]
excited [AND] vivacious [IMPLY] sleepy [PERIOD]
wandering [AND] gifted [AND] selfish [IMPLY] disobedient [PERIOD]
worrisome [AND] selfish [AND] aggressive [IMPLY] vivacious [PERIOD]
wandering [AND] spotless [IMPLY] intellectual [PERIOD]
vivacious [AND] spotless [IMPLY] selfish [PERIOD]
unpleasant [AND] intellectual [AND] selfish [IMPLY] excited [PERIOD]
unpleasant [IMPLY] aggressive [PERIOD]
frightened [AND] precious [AND] sleepy [IMPLY] excited [PERIOD]
sleepy [IMPLY] helpful [PERIOD]
aggressive [AND] quaint [AND] outstanding [IMPLY] shiny [PERIOD]
frightened [IMPLY] worrisome [PERIOD]
amused [IMPLY] wandering [PERIOD]
powerful [AND] amused [IMPLY] gorgeous [PERIOD]
intellectual [IMPLY] sleepy [PERIOD]
disobedient [AND] aggressive [IMPLY] tender [PERIOD]
vivacious [IMPLY] worrisome [PERIOD]
exuberant [AND] quaint [IMPLY] excited [PERIOD]
spotless [AND] aggressive [AND] exuberant [IMPLY] outstanding [PERIOD]
gorgeous [AND] frightened [IMPLY] talkative [PERIOD]
vivacious [AND] tender [AND] perfect [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] attentive [PERIOD]
attentive [AND] spotless [AND] selfish [IMPLY] wandering [PERIOD]
amused [IMPLY] talkative [PERIOD]
precious [AND] frightened [IMPLY] worrisome [PERIOD]
shiny [AND] selfish [AND] wandering [IMPLY] perfect [PERIOD]
sleepy [AND] spotless [AND] quaint [IMPLY] talkative [PERIOD]
witty [AND] frail [AND] frightened [IMPLY] sleepy [PERIOD]
outstanding [AND] frail [IMPLY] precious [PERIOD]
gifted [AND] outstanding [AND] tender [IMPLY] calm [PERIOD]
selfish [AND] precious [IMPLY] tender [PERIOD]
outstanding [IMPLY] exuberant [PERIOD]
calm [AND] unpleasant [IMPLY] intellectual [PERIOD]
attentive [IMPLY] calm [PERIOD]
precious [AND] attentive [AND] frail [IMPLY] intellectual [PERIOD]
worrisome [AND] powerful [AND] wandering [IMPLY] exuberant [PERIOD]
powerful [AND] frail [IMPLY] shiny [PERIOD]
spotless [AND] shiny [IMPLY] gorgeous [PERIOD]
gifted [AND] unpleasant [IMPLY] selfish [PERIOD]
tender [AND] calm [AND] selfish [IMPLY] talkative [PERIOD]
perfect [IMPLY] talkative [PERIOD]
exuberant [AND] gifted [IMPLY] outstanding [PERIOD]
worrisome [AND] attentive [IMPLY] selfish [PERIOD]
frightened [AND] perfect [IMPLY] spotless [PERIOD]
aggressive [IMPLY] exuberant [PERIOD]
gifted [AND] attentive [AND] helpful [IMPLY] aggressive [PERIOD]
exuberant [AND] attentive [IMPLY] powerful [PERIOD]
aggressive [AND] disobedient [AND] precious [IMPLY] wandering [PERIOD]
talkative [AND] vivacious [AND] intellectual [IMPLY] excited [PERIOD]
frightened [AND] perfect [IMPLY] witty [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “gorgeous ∧ frightened ⇒ talkative” because missing: gorgeous, frightened.
   Cannot apply rule “amused ⇒ talkative” because missing: amused.
   Cannot apply rule “sleepy ∧ spotless ∧ quaint ⇒ talkative” because missing: sleepy, spotless, quaint.
   Cannot apply rule “tender ∧ calm ∧ selfish ⇒ talkative” because missing: tender, calm.
   Cannot apply rule “perfect ⇒ talkative” because missing: perfect.
",0,5
"Facts:  Alice is frightened [PERIOD] Alice is exuberant [PERIOD] Alice is cute [PERIOD]
Rules:
hurt [AND] exuberant [AND] frightened [IMPLY] cute [PERIOD]
frightened [AND] mysterious [IMPLY] hurt [PERIOD]
exuberant [AND] cute [AND] hurt [IMPLY] mysterious [PERIOD]
cute [AND] exuberant [AND] mysterious [IMPLY] hurt [PERIOD]
frightened [AND] cute [AND] mysterious [IMPLY] hurt [PERIOD]
exuberant [AND] frightened [AND] elegant [IMPLY] mysterious [PERIOD]
exuberant [IMPLY] hurt [PERIOD]
cute [AND] frightened [IMPLY] elegant [PERIOD]
cute [IMPLY] elegant [PERIOD]
hurt [AND] mysterious [AND] cute [IMPLY] frightened [PERIOD]
mysterious [AND] cute [IMPLY] elegant [PERIOD]
elegant [IMPLY] cute [PERIOD]
exuberant [IMPLY] mysterious [PERIOD]
exuberant [AND] cute [IMPLY] hurt [PERIOD]
frightened [AND] mysterious [IMPLY] elegant [PERIOD]
mysterious [AND] cute [AND] hurt [IMPLY] exuberant [PERIOD]
mysterious [AND] frightened [AND] elegant [IMPLY] hurt [PERIOD]
elegant [AND] exuberant [AND] hurt [IMPLY] mysterious [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   exuberant ⇒ hurt
",1,1
"Facts:  Alice is sincere [PERIOD] Alice is supportive [PERIOD] Alice is shy [PERIOD]
Rules:
sincere [AND] shy [AND] supportive [IMPLY] perfect [PERIOD]
supportive [AND] perfect [AND] courageous [IMPLY] sincere [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
mysterious [AND] tense [AND] pleasant [IMPLY] amused [PERIOD]
mysterious [AND] tense [AND] confident [IMPLY] amused [PERIOD]
confident [AND] intellectual [IMPLY] tense [PERIOD]
confident [IMPLY] intellectual [PERIOD]
muddy [IMPLY] talkative [PERIOD]
muddy [IMPLY] mysterious [PERIOD]
confident [IMPLY] amused [PERIOD]
mysterious [AND] amused [IMPLY] muddy [PERIOD]
amused [AND] tense [IMPLY] confident [PERIOD]
amused [AND] confident [IMPLY] intellectual [PERIOD]
pleasant [AND] intellectual [IMPLY] confident [PERIOD]
confident [AND] talkative [AND] intellectual [IMPLY] pleasant [PERIOD]
pleasant [AND] mysterious [AND] tense [IMPLY] muddy [PERIOD]
tense [IMPLY] talkative [PERIOD]
pleasant [AND] intellectual [IMPLY] amused [PERIOD]
confident [IMPLY] pleasant [PERIOD]
confident [AND] mysterious [IMPLY] muddy [PERIOD]
talkative [AND] amused [AND] mysterious [IMPLY] tense [PERIOD]
intellectual [IMPLY] confident [PERIOD]
amused [IMPLY] tense [PERIOD]
talkative [IMPLY] intellectual [PERIOD]
tense [AND] mysterious [IMPLY] pleasant [PERIOD]
amused [IMPLY] mysterious [PERIOD]
intellectual [AND] tense [IMPLY] muddy [PERIOD]
intellectual [AND] talkative [IMPLY] amused [PERIOD]
mysterious [AND] confident [IMPLY] pleasant [PERIOD]
amused [IMPLY] intellectual [PERIOD]
confident [IMPLY] mysterious [PERIOD]
muddy [IMPLY] tense [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   Cannot apply rule “mysterious ∧ amused ⇒ muddy” because missing: mysterious, amused.
   Cannot apply rule “pleasant ∧ mysterious ∧ tense ⇒ muddy” because missing: pleasant, mysterious, tense.
   Cannot apply rule “confident ∧ mysterious ⇒ muddy” because missing: confident, mysterious.
   Cannot apply rule “intellectual ∧ tense ⇒ muddy” because missing: intellectual, tense.
",0,4
"Facts:  Alice is intellectual [PERIOD]
Rules:
friendly [IMPLY] gleaming [PERIOD]
combative [IMPLY] ugly [PERIOD]
average [AND] attractive [IMPLY] gleaming [PERIOD]
average [AND] reserved [AND] intellectual [IMPLY] smart [PERIOD]
alert [IMPLY] loving [PERIOD]
difficult [IMPLY] intellectual [PERIOD]
average [IMPLY] difficult [PERIOD]
reserved [AND] friendly [AND] ugly [IMPLY] alert [PERIOD]
ugly [AND] loving [IMPLY] reserved [PERIOD]
alert [AND] combative [AND] loving [IMPLY] average [PERIOD]
difficult [AND] attractive [AND] gleaming [IMPLY] friendly [PERIOD]
friendly [AND] attractive [AND] intellectual [IMPLY] alert [PERIOD]
attractive [IMPLY] combative [PERIOD]
attractive [AND] combative [AND] busy [IMPLY] muddy [PERIOD]
gleaming [AND] muddy [IMPLY] ugly [PERIOD]
intellectual [AND] muddy [AND] embarrassed [IMPLY] alert [PERIOD]
difficult [IMPLY] gleaming [PERIOD]
alert [AND] muddy [AND] friendly [IMPLY] smart [PERIOD]
loving [IMPLY] reserved [PERIOD]
busy [IMPLY] intellectual [PERIOD]
muddy [IMPLY] attractive [PERIOD]
intellectual [IMPLY] alert [PERIOD]
busy [AND] ugly [IMPLY] difficult [PERIOD]
embarrassed [IMPLY] attractive [PERIOD]
average [IMPLY] reserved [PERIOD]
embarrassed [IMPLY] average [PERIOD]
intellectual [AND] loving [AND] combative [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] intellectual [PERIOD]
gleaming [AND] combative [IMPLY] muddy [PERIOD]
embarrassed [AND] friendly [AND] muddy [IMPLY] average [PERIOD]
ugly [AND] gleaming [AND] average [IMPLY] friendly [PERIOD]
alert [AND] loving [IMPLY] friendly [PERIOD]
attractive [IMPLY] average [PERIOD]
loving [AND] smart [IMPLY] reserved [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   intellectual ⇒ alert
   intellectual ⇒ alert
   alert ⇒ loving
   alert ∧ loving ⇒ friendly
",1,4
"Facts:  Alice is plain [PERIOD] Alice is friendly [PERIOD] Alice is shy [PERIOD] Alice is confident [PERIOD] Alice is alert [PERIOD] Alice is crowded [PERIOD] Alice is spotless [PERIOD] Alice is worried [PERIOD] Alice is thoughtful [PERIOD] Alice is pleasant [PERIOD] Alice is pessimistic [PERIOD] Alice is smart [PERIOD] Alice is ambitious [PERIOD] Alice is ugliest [PERIOD] Alice is strange [PERIOD] Alice is stupid [PERIOD]
Rules:
plain [AND] worried [AND] ugliest [IMPLY] spotless [PERIOD]
pessimistic [AND] spotless [AND] alert [IMPLY] pleasant [PERIOD]
ambitious [AND] shy [AND] thoughtful [IMPLY] pleasant [PERIOD]
alert [IMPLY] plain [PERIOD]
thoughtful [IMPLY] alert [PERIOD]
plain [AND] pessimistic [IMPLY] stupid [PERIOD]
ugliest [AND] shy [IMPLY] confident [PERIOD]
stupid [AND] weary [IMPLY] smart [PERIOD]
smart [IMPLY] strange [PERIOD]
spotless [AND] worried [IMPLY] thoughtful [PERIOD]
shy [IMPLY] alert [PERIOD]
thoughtful [IMPLY] spotless [PERIOD]
confident [IMPLY] plain [PERIOD]
alert [AND] ugliest [IMPLY] pessimistic [PERIOD]
condemned [IMPLY] confident [PERIOD]
stupid [IMPLY] ambitious [PERIOD]
thoughtful [AND] pessimistic [IMPLY] stupid [PERIOD]
ugliest [AND] thoughtful [AND] pleasant [IMPLY] confident [PERIOD]
spotless [IMPLY] alert [PERIOD]
weary [AND] smart [AND] crowded [IMPLY] thoughtful [PERIOD]
smart [AND] confident [AND] pleasant [IMPLY] alert [PERIOD]
ugliest [AND] stupid [IMPLY] thoughtful [PERIOD]
strange [AND] spotless [IMPLY] stupid [PERIOD]
ugliest [IMPLY] worried [PERIOD]
strange [AND] smart [AND] weary [IMPLY] ambitious [PERIOD]
thoughtful [IMPLY] shy [PERIOD]
strange [AND] stupid [IMPLY] weary [PERIOD]
shy [IMPLY] spotless [PERIOD]
worried [AND] alert [IMPLY] pleasant [PERIOD]
weary [IMPLY] thoughtful [PERIOD]
friendly [AND] crowded [IMPLY] thoughtful [PERIOD]
alert [IMPLY] pessimistic [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is modern [PERIOD]
Rules:
calm [AND] frightened [AND] difficult [IMPLY] talented [PERIOD]
selfish [AND] different [AND] talented [IMPLY] fragile [PERIOD]
talented [IMPLY] worried [PERIOD]
crowded [IMPLY] different [PERIOD]
calm [AND] crowded [AND] different [IMPLY] modern [PERIOD]
modern [AND] fragile [IMPLY] crowded [PERIOD]
modern [AND] combative [IMPLY] calm [PERIOD]
impatient [AND] talented [AND] calm [IMPLY] modern [PERIOD]
frightened [IMPLY] worried [PERIOD]
fine [IMPLY] talented [PERIOD]
fine [IMPLY] frightened [PERIOD]
talented [AND] different [IMPLY] difficult [PERIOD]
modern [AND] elegant [AND] impatient [IMPLY] pessimistic [PERIOD]
frightened [IMPLY] difficult [PERIOD]
hurt [IMPLY] pessimistic [PERIOD]
tired [AND] selfish [IMPLY] hilarious [PERIOD]
pessimistic [AND] different [AND] talented [IMPLY] hilarious [PERIOD]
worried [AND] difficult [IMPLY] different [PERIOD]
tired [IMPLY] difficult [PERIOD]
tired [AND] jittery [IMPLY] pessimistic [PERIOD]
hurt [IMPLY] hilarious [PERIOD]
hurt [AND] frightened [AND] selfish [IMPLY] difficult [PERIOD]
worried [IMPLY] frightened [PERIOD]
frightened [AND] impatient [AND] fragile [IMPLY] selfish [PERIOD]
excited [IMPLY] calm [PERIOD]
excited [IMPLY] different [PERIOD]
worried [IMPLY] impatient [PERIOD]
impatient [AND] hurt [IMPLY] tired [PERIOD]
worried [AND] modern [IMPLY] different [PERIOD]
hilarious [AND] modern [AND] fragile [IMPLY] frightened [PERIOD]
calm [AND] selfish [IMPLY] crowded [PERIOD]
combative [AND] fine [IMPLY] worried [PERIOD]
pessimistic [AND] difficult [AND] combative [IMPLY] elegant [PERIOD]
elegant [AND] jittery [AND] tired [IMPLY] selfish [PERIOD]
talented [AND] fine [IMPLY] excited [PERIOD]
frightened [AND] different [AND] fine [IMPLY] modern [PERIOD]
jittery [AND] worried [AND] impatient [IMPLY] hilarious [PERIOD]
fine [IMPLY] excited [PERIOD]
tired [AND] worried [AND] talented [IMPLY] pessimistic [PERIOD]
calm [AND] tired [IMPLY] jittery [PERIOD]
worried [AND] hurt [AND] tired [IMPLY] talented [PERIOD]
fragile [IMPLY] frightened [PERIOD]
hilarious [IMPLY] impatient [PERIOD]
jittery [AND] hurt [AND] pessimistic [IMPLY] crowded [PERIOD]
combative [IMPLY] worried [PERIOD]
calm [IMPLY] pessimistic [PERIOD]
modern [AND] combative [IMPLY] talented [PERIOD]
selfish [AND] hurt [AND] jittery [IMPLY] pessimistic [PERIOD]
talented [AND] crowded [IMPLY] selfish [PERIOD]
crowded [IMPLY] impatient [PERIOD]
jittery [IMPLY] fragile [PERIOD]
hilarious [AND] fragile [AND] talented [IMPLY] fine [PERIOD]
talented [IMPLY] different [PERIOD]
crowded [AND] fragile [IMPLY] pessimistic [PERIOD]
calm [AND] modern [IMPLY] hurt [PERIOD]
frightened [AND] jittery [IMPLY] talented [PERIOD]
talented [AND] excited [AND] crowded [IMPLY] frightened [PERIOD]
combative [AND] frightened [AND] impatient [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] jittery [PERIOD]
fragile [IMPLY] fine [PERIOD]
excited [IMPLY] combative [PERIOD]
difficult [AND] crowded [AND] fragile [IMPLY] impatient [PERIOD]
jittery [AND] talented [IMPLY] frightened [PERIOD]
selfish [AND] frightened [IMPLY] pessimistic [PERIOD]
different [IMPLY] jittery [PERIOD]
modern [IMPLY] tired [PERIOD]
tired [AND] selfish [AND] frightened [IMPLY] calm [PERIOD]
hilarious [AND] jittery [IMPLY] worried [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   Cannot apply rule “crowded ⇒ different” because missing: crowded.
   modern ⇒ tired
   tired ⇒ difficult
   Cannot apply rule “worried ∧ difficult ⇒ different” because missing: worried.
   Cannot apply rule “excited ⇒ different” because missing: excited.
   Cannot apply rule “worried ∧ modern ⇒ different” because missing: worried.
   Cannot apply rule “talented ⇒ different” because missing: talented.
",0,7
"Facts:  Alice is condemned [PERIOD] Alice is light [PERIOD] Alice is versatile [PERIOD] Alice is sincere [PERIOD] Alice is inquisitive [PERIOD] Alice is stormy [PERIOD] Alice is amused [PERIOD] Alice is intellectual [PERIOD] Alice is inexpensive [PERIOD] Alice is exuberant [PERIOD]
Rules:
bright [IMPLY] precious [PERIOD]
perfect [AND] stormy [AND] fragile [IMPLY] foolish [PERIOD]
bad-tempered [AND] fragile [IMPLY] modern [PERIOD]
comfortable [IMPLY] inquisitive [PERIOD]
perfect [AND] precious [IMPLY] tense [PERIOD]
bad-tempered [AND] enchanting [AND] foolish [IMPLY] condemned [PERIOD]
sincere [AND] modern [AND] tame [IMPLY] exuberant [PERIOD]
light [AND] tame [AND] glamorous [IMPLY] inquisitive [PERIOD]
precious [AND] old-fashioned [IMPLY] glamorous [PERIOD]
modern [AND] comfortable [AND] tame [IMPLY] amused [PERIOD]
cute [AND] old-fashioned [AND] inquisitive [IMPLY] inexpensive [PERIOD]
glamorous [AND] cute [IMPLY] bad-tempered [PERIOD]
perfect [AND] precious [IMPLY] exuberant [PERIOD]
intellectual [IMPLY] fragile [PERIOD]
fragile [AND] light [IMPLY] comfortable [PERIOD]
light [IMPLY] inexpensive [PERIOD]
fragile [AND] old-fashioned [IMPLY] tame [PERIOD]
inexpensive [IMPLY] bright [PERIOD]
precious [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] foolish [PERIOD]
tense [AND] light [IMPLY] inexpensive [PERIOD]
cute [AND] exuberant [AND] inquisitive [IMPLY] versatile [PERIOD]
comfortable [AND] fragile [AND] stormy [IMPLY] enchanting [PERIOD]
bad-tempered [AND] glamorous [IMPLY] fragile [PERIOD]
versatile [AND] sincere [IMPLY] perfect [PERIOD]
proud [AND] stormy [IMPLY] exuberant [PERIOD]
bad-tempered [AND] tense [AND] condemned [IMPLY] bright [PERIOD]
bad-tempered [IMPLY] cute [PERIOD]
perfect [IMPLY] foolish [PERIOD]
perfect [IMPLY] glamorous [PERIOD]
stormy [AND] tense [AND] light [IMPLY] versatile [PERIOD]
enchanting [AND] inquisitive [AND] stormy [IMPLY] sincere [PERIOD]
glamorous [AND] amused [AND] cute [IMPLY] bright [PERIOD]
bright [IMPLY] inquisitive [PERIOD]
proud [AND] inexpensive [AND] tense [IMPLY] glamorous [PERIOD]
intellectual [AND] tense [AND] light [IMPLY] bright [PERIOD]
old-fashioned [IMPLY] sincere [PERIOD]
proud [IMPLY] perfect [PERIOD]
condemned [AND] comfortable [AND] light [IMPLY] foolish [PERIOD]
tense [AND] inexpensive [IMPLY] proud [PERIOD]
versatile [IMPLY] exuberant [PERIOD]
sincere [IMPLY] cute [PERIOD]
bright [IMPLY] inexpensive [PERIOD]
versatile [AND] sincere [AND] inquisitive [IMPLY] intellectual [PERIOD]
perfect [AND] sincere [AND] bad-tempered [IMPLY] condemned [PERIOD]
condemned [AND] bright [IMPLY] exuberant [PERIOD]
tame [IMPLY] cute [PERIOD]
light [AND] glamorous [AND] perfect [IMPLY] fragile [PERIOD]
modern [AND] cute [IMPLY] enchanting [PERIOD]
glamorous [IMPLY] tense [PERIOD]
stormy [IMPLY] glamorous [PERIOD]
exuberant [AND] bad-tempered [AND] amused [IMPLY] tense [PERIOD]
perfect [IMPLY] intellectual [PERIOD]
fragile [IMPLY] tense [PERIOD]
proud [AND] sincere [IMPLY] tame [PERIOD]
enchanting [AND] condemned [AND] tense [IMPLY] proud [PERIOD]
amused [IMPLY] inexpensive [PERIOD]
proud [AND] foolish [IMPLY] sincere [PERIOD]
bad-tempered [AND] intellectual [AND] versatile [IMPLY] inexpensive [PERIOD]
comfortable [AND] light [AND] tame [IMPLY] versatile [PERIOD]
inexpensive [AND] intellectual [AND] proud [IMPLY] inquisitive [PERIOD]
stormy [IMPLY] proud [PERIOD]
light [IMPLY] versatile [PERIOD]
bright [AND] exuberant [AND] enchanting [IMPLY] inquisitive [PERIOD]
condemned [IMPLY] fragile [PERIOD]
versatile [IMPLY] old-fashioned [PERIOD]
foolish [AND] enchanting [AND] sincere [IMPLY] precious [PERIOD]
proud [AND] intellectual [IMPLY] enchanting [PERIOD]
glamorous [AND] cute [AND] foolish [IMPLY] precious [PERIOD]
proud [AND] inquisitive [IMPLY] exuberant [PERIOD]
fragile [AND] cute [IMPLY] perfect [PERIOD]
tame [AND] stormy [AND] bright [IMPLY] tense [PERIOD]
amused [AND] modern [AND] proud [IMPLY] old-fashioned [PERIOD]
sincere [AND] precious [IMPLY] inexpensive [PERIOD]
old-fashioned [AND] tame [IMPLY] intellectual [PERIOD]
condemned [AND] light [IMPLY] modern [PERIOD]
intellectual [AND] comfortable [AND] glamorous [IMPLY] perfect [PERIOD]
glamorous [IMPLY] exuberant [PERIOD]
comfortable [AND] precious [AND] tense [IMPLY] light [PERIOD]
enchanting [AND] cute [IMPLY] glamorous [PERIOD]
bad-tempered [IMPLY] glamorous [PERIOD]
proud [AND] intellectual [AND] precious [IMPLY] sincere [PERIOD]
bad-tempered [AND] glamorous [IMPLY] light [PERIOD]
cute [AND] tame [IMPLY] light [PERIOD]
tense [AND] bright [IMPLY] cute [PERIOD]
old-fashioned [IMPLY] tame [PERIOD]
enchanting [IMPLY] light [PERIOD]
precious [AND] tense [IMPLY] inquisitive [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   versatile ∧ sincere ⇒ perfect
",1,1
"Facts:  Alice is sensible [PERIOD]
Rules:
embarrassed [AND] hypocritical [IMPLY] comfortable [PERIOD]
precious [AND] sensible [IMPLY] smart [PERIOD]
lonely [IMPLY] sensible [PERIOD]
sensible [IMPLY] impatient [PERIOD]
impatient [AND] smart [IMPLY] precious [PERIOD]
comfortable [IMPLY] sensible [PERIOD]
impatient [AND] lonely [AND] hypocritical [IMPLY] comfortable [PERIOD]
impatient [AND] lonely [IMPLY] precious [PERIOD]
impatient [AND] comfortable [IMPLY] smart [PERIOD]
sensible [AND] comfortable [IMPLY] hypocritical [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   sensible ⇒ impatient
",1,1
"Facts:  Alice is sensible [PERIOD] Alice is shy [PERIOD] Alice is impatient [PERIOD] Alice is hurt [PERIOD] Alice is blushing [PERIOD] Alice is dishonest [PERIOD] Alice is elated [PERIOD] Alice is anxious [PERIOD] Alice is wandering [PERIOD]
Rules:
bright [AND] sensible [IMPLY] cooperative [PERIOD]
rude [AND] proud [IMPLY] worried [PERIOD]
shy [AND] anxious [IMPLY] old-fashioned [PERIOD]
wandering [AND] elated [AND] alert [IMPLY] rude [PERIOD]
horrible [AND] excited [IMPLY] shy [PERIOD]
hurt [IMPLY] blushing [PERIOD]
dishonest [AND] rude [IMPLY] horrible [PERIOD]
elated [AND] alert [AND] clumsy [IMPLY] blushing [PERIOD]
worried [AND] horrible [IMPLY] polite [PERIOD]
horrible [IMPLY] shy [PERIOD]
clumsy [IMPLY] horrible [PERIOD]
impatient [AND] proud [AND] anxious [IMPLY] elated [PERIOD]
hurt [AND] worried [IMPLY] sensible [PERIOD]
excited [AND] shy [IMPLY] rude [PERIOD]
alert [AND] old-fashioned [IMPLY] sensible [PERIOD]
tense [AND] anxious [IMPLY] clumsy [PERIOD]
old-fashioned [AND] cooperative [IMPLY] dishonest [PERIOD]
polite [AND] blushing [AND] horrible [IMPLY] alert [PERIOD]
proud [AND] hurt [AND] clumsy [IMPLY] elated [PERIOD]
blushing [AND] pessimistic [IMPLY] excited [PERIOD]
polite [AND] worried [IMPLY] alert [PERIOD]
anxious [AND] excited [AND] alert [IMPLY] wandering [PERIOD]
pessimistic [AND] bright [IMPLY] blushing [PERIOD]
bright [AND] worried [IMPLY] tense [PERIOD]
impatient [AND] bright [AND] polite [IMPLY] blushing [PERIOD]
worried [AND] blushing [IMPLY] wandering [PERIOD]
impatient [IMPLY] bright [PERIOD]
dishonest [AND] worried [IMPLY] pessimistic [PERIOD]
old-fashioned [AND] polite [AND] anxious [IMPLY] clumsy [PERIOD]
dishonest [AND] tense [AND] cooperative [IMPLY] hurt [PERIOD]
pessimistic [IMPLY] rude [PERIOD]
pessimistic [AND] blushing [AND] proud [IMPLY] alert [PERIOD]
alert [IMPLY] blushing [PERIOD]
worried [IMPLY] tense [PERIOD]
worried [IMPLY] pessimistic [PERIOD]
shy [AND] horrible [IMPLY] sensible [PERIOD]
polite [AND] anxious [IMPLY] impatient [PERIOD]
sensible [IMPLY] excited [PERIOD]
pessimistic [IMPLY] old-fashioned [PERIOD]
worried [AND] impatient [AND] blushing [IMPLY] alert [PERIOD]
proud [AND] sensible [IMPLY] wandering [PERIOD]
anxious [AND] proud [AND] horrible [IMPLY] hurt [PERIOD]
polite [IMPLY] tense [PERIOD]
rude [AND] clumsy [AND] worried [IMPLY] excited [PERIOD]
clumsy [IMPLY] proud [PERIOD]
blushing [IMPLY] elated [PERIOD]
rude [IMPLY] clumsy [PERIOD]
impatient [IMPLY] hurt [PERIOD]
sensible [AND] hurt [IMPLY] impatient [PERIOD]
impatient [AND] anxious [IMPLY] proud [PERIOD]
proud [AND] sensible [AND] rude [IMPLY] tense [PERIOD]
rude [AND] tense [AND] elated [IMPLY] impatient [PERIOD]
horrible [AND] elated [AND] alert [IMPLY] anxious [PERIOD]
rude [AND] elated [AND] bright [IMPLY] hurt [PERIOD]
rude [AND] pessimistic [IMPLY] horrible [PERIOD]
elated [AND] blushing [AND] cooperative [IMPLY] dishonest [PERIOD]
blushing [IMPLY] old-fashioned [PERIOD]
pessimistic [IMPLY] cooperative [PERIOD]
horrible [IMPLY] proud [PERIOD]
horrible [AND] old-fashioned [IMPLY] bright [PERIOD]
worried [AND] polite [AND] tense [IMPLY] dishonest [PERIOD]
proud [AND] bright [AND] horrible [IMPLY] dishonest [PERIOD]
hurt [AND] alert [IMPLY] rude [PERIOD]
impatient [AND] sensible [IMPLY] horrible [PERIOD]
alert [IMPLY] hurt [PERIOD]
excited [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] elated [PERIOD]
tense [IMPLY] blushing [PERIOD]
worried [AND] tense [IMPLY] sensible [PERIOD]
shy [AND] blushing [AND] wandering [IMPLY] tense [PERIOD]
worried [AND] excited [IMPLY] shy [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   sensible ⇒ excited
   excited ∧ shy ⇒ rude
   impatient ∧ anxious ⇒ proud
   rude ∧ proud ⇒ worried
   dishonest ∧ worried ⇒ pessimistic
",1,5
"Facts: 
Rules:
sensible [AND] attentive [AND] average [IMPLY] ambitious [PERIOD]
sensible [IMPLY] intellectual [PERIOD]
attentive [IMPLY] long [PERIOD]
ambitious [AND] sensible [IMPLY] long [PERIOD]
plain [AND] talkative [AND] gleaming [IMPLY] proud [PERIOD]
troubled [IMPLY] talkative [PERIOD]
old-fashioned [IMPLY] powerful [PERIOD]
talkative [IMPLY] ambitious [PERIOD]
powerful [AND] difficult [AND] joyous [IMPLY] confused [PERIOD]
proud [IMPLY] intellectual [PERIOD]
gifted [AND] joyous [IMPLY] talkative [PERIOD]
long [IMPLY] bored [PERIOD]
average [AND] plain [AND] long [IMPLY] bossy [PERIOD]
sensible [IMPLY] crowded [PERIOD]
long [AND] difficult [AND] joyous [IMPLY] average [PERIOD]
difficult [IMPLY] gleaming [PERIOD]
gifted [AND] weary [AND] proud [IMPLY] ambitious [PERIOD]
crowded [IMPLY] talkative [PERIOD]
bossy [IMPLY] powerful [PERIOD]
bored [AND] crowded [AND] troubled [IMPLY] long [PERIOD]
old-fashioned [AND] proud [IMPLY] long [PERIOD]
powerful [AND] confused [AND] sensible [IMPLY] average [PERIOD]
bright [AND] bad-tempered [AND] sensible [IMPLY] attentive [PERIOD]
frail [IMPLY] plain [PERIOD]
dishonest [AND] difficult [AND] bored [IMPLY] crowded [PERIOD]
light [IMPLY] intellectual [PERIOD]
proud [AND] light [IMPLY] bored [PERIOD]
frail [AND] sensible [AND] average [IMPLY] bored [PERIOD]
average [AND] gleaming [AND] old-fashioned [IMPLY] frail [PERIOD]
intellectual [IMPLY] weary [PERIOD]
sensible [AND] old-fashioned [IMPLY] dishonest [PERIOD]
powerful [AND] confused [AND] plain [IMPLY] frail [PERIOD]
powerful [AND] confused [IMPLY] intellectual [PERIOD]
powerful [AND] weary [AND] bored [IMPLY] attentive [PERIOD]
old-fashioned [IMPLY] gifted [PERIOD]
light [AND] average [IMPLY] intellectual [PERIOD]
weary [AND] bright [IMPLY] joyous [PERIOD]
joyous [AND] weary [IMPLY] proud [PERIOD]
dishonest [AND] proud [IMPLY] weary [PERIOD]
powerful [IMPLY] joyous [PERIOD]
powerful [IMPLY] bright [PERIOD]
bored [AND] weary [IMPLY] bad-tempered [PERIOD]
dishonest [IMPLY] powerful [PERIOD]
troubled [AND] talkative [AND] ambitious [IMPLY] sensible [PERIOD]
proud [AND] confused [AND] weary [IMPLY] difficult [PERIOD]
confused [AND] bored [IMPLY] difficult [PERIOD]
bright [IMPLY] crowded [PERIOD]
frail [AND] bright [AND] gifted [IMPLY] sensible [PERIOD]
old-fashioned [AND] confused [IMPLY] bad-tempered [PERIOD]
sensible [IMPLY] difficult [PERIOD]
dishonest [AND] sensible [IMPLY] joyous [PERIOD]
intellectual [AND] powerful [IMPLY] sensible [PERIOD]
long [AND] average [AND] difficult [IMPLY] sensible [PERIOD]
long [AND] ambitious [AND] crowded [IMPLY] attentive [PERIOD]
intellectual [AND] plain [AND] troubled [IMPLY] dishonest [PERIOD]
powerful [AND] sensible [AND] bright [IMPLY] attentive [PERIOD]
talkative [AND] joyous [IMPLY] gifted [PERIOD]
attentive [AND] bright [AND] bored [IMPLY] confused [PERIOD]
sensible [AND] difficult [IMPLY] ambitious [PERIOD]
gifted [AND] gleaming [AND] bossy [IMPLY] powerful [PERIOD]
bossy [IMPLY] bad-tempered [PERIOD]
old-fashioned [AND] crowded [AND] talkative [IMPLY] bored [PERIOD]
gleaming [IMPLY] attentive [PERIOD]
gifted [AND] confused [AND] weary [IMPLY] frail [PERIOD]
talkative [IMPLY] light [PERIOD]
gifted [IMPLY] difficult [PERIOD]
joyous [AND] average [AND] confused [IMPLY] long [PERIOD]
light [IMPLY] long [PERIOD]
frail [AND] long [AND] weary [IMPLY] troubled [PERIOD]
average [IMPLY] bored [PERIOD]
gleaming [AND] proud [AND] confused [IMPLY] weary [PERIOD]
average [AND] troubled [AND] long [IMPLY] bossy [PERIOD]
frail [IMPLY] attentive [PERIOD]
proud [IMPLY] attentive [PERIOD]
gifted [AND] proud [AND] old-fashioned [IMPLY] attentive [PERIOD]
gifted [AND] frail [AND] crowded [IMPLY] bored [PERIOD]
dishonest [AND] attentive [AND] crowded [IMPLY] talkative [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “troubled ⇒ talkative” because missing: troubled.
   Cannot apply rule “gifted ∧ joyous ⇒ talkative” because missing: gifted, joyous.
   Cannot apply rule “crowded ⇒ talkative” because missing: crowded.
   Cannot apply rule “dishonest ∧ attentive ∧ crowded ⇒ talkative” because missing: dishonest, attentive, crowded.
",0,4
"Facts:  Alice is elegant [PERIOD] Alice is perfect [PERIOD] Alice is fragile [PERIOD]
Rules:
perfect [AND] fragile [IMPLY] elegant [PERIOD]
fragile [AND] perfect [IMPLY] homely [PERIOD]
perfect [IMPLY] sincere [PERIOD]
elegant [AND] fragile [AND] perfect [IMPLY] sincere [PERIOD]
fragile [AND] sincere [IMPLY] perfect [PERIOD]
elegant [AND] sincere [IMPLY] fragile [PERIOD]
elegant [IMPLY] fragile [PERIOD]
elegant [AND] fragile [IMPLY] homely [PERIOD]
homely [AND] elegant [IMPLY] perfect [PERIOD]
elegant [IMPLY] homely [PERIOD]
perfect [AND] sincere [IMPLY] fragile [PERIOD]
elegant [AND] homely [AND] sincere [IMPLY] fragile [PERIOD]
elegant [AND] perfect [AND] fragile [IMPLY] homely [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
strange [IMPLY] outrageous [PERIOD]
stormy [AND] hurt [AND] long [IMPLY] difficult [PERIOD]
beautiful [AND] tense [AND] bright [IMPLY] foolish [PERIOD]
frail [AND] straightforward [AND] thoughtful [IMPLY] outrageous [PERIOD]
beautiful [AND] difficult [AND] outrageous [IMPLY] fragile [PERIOD]
attractive [AND] beautiful [AND] difficult [IMPLY] tense [PERIOD]
alert [IMPLY] comfortable [PERIOD]
long [AND] tense [IMPLY] amused [PERIOD]
difficult [AND] bored [AND] hurt [IMPLY] perfect [PERIOD]
frail [AND] strange [IMPLY] outrageous [PERIOD]
beautiful [AND] straightforward [AND] long [IMPLY] bored [PERIOD]
alert [AND] hurt [AND] cute [IMPLY] difficult [PERIOD]
hurt [AND] bored [IMPLY] different [PERIOD]
beautiful [IMPLY] straightforward [PERIOD]
cute [IMPLY] difficult [PERIOD]
calm [AND] thoughtful [IMPLY] anxious [PERIOD]
thoughtful [IMPLY] cute [PERIOD]
fragile [AND] frail [AND] perfect [IMPLY] bright [PERIOD]
comfortable [AND] attractive [AND] straightforward [IMPLY] stupid [PERIOD]
strange [AND] different [AND] cute [IMPLY] anxious [PERIOD]
alert [AND] thoughtful [AND] bored [IMPLY] perfect [PERIOD]
thoughtful [AND] comfortable [AND] calm [IMPLY] cute [PERIOD]
comfortable [AND] perfect [AND] amused [IMPLY] thoughtful [PERIOD]
stupid [IMPLY] anxious [PERIOD]
outrageous [IMPLY] stormy [PERIOD]
cute [IMPLY] tense [PERIOD]
alert [AND] outrageous [AND] perfect [IMPLY] cute [PERIOD]
bright [AND] cute [IMPLY] stormy [PERIOD]
bored [IMPLY] stupid [PERIOD]
anxious [AND] bright [IMPLY] stupid [PERIOD]
perfect [AND] amused [IMPLY] stupid [PERIOD]
perfect [AND] frail [IMPLY] fragile [PERIOD]
hurt [IMPLY] stormy [PERIOD]
thoughtful [AND] stormy [IMPLY] anxious [PERIOD]
strange [IMPLY] cute [PERIOD]
amused [IMPLY] bright [PERIOD]
strange [AND] frail [IMPLY] attractive [PERIOD]
attractive [AND] foolish [AND] frail [IMPLY] thoughtful [PERIOD]
long [AND] bright [AND] amused [IMPLY] outrageous [PERIOD]
stupid [AND] calm [IMPLY] alert [PERIOD]
alert [AND] bored [AND] attractive [IMPLY] cute [PERIOD]
amused [AND] beautiful [AND] difficult [IMPLY] hurt [PERIOD]
foolish [AND] outrageous [IMPLY] hurt [PERIOD]
straightforward [IMPLY] hurt [PERIOD]
straightforward [AND] beautiful [AND] difficult [IMPLY] comfortable [PERIOD]
foolish [AND] bored [AND] comfortable [IMPLY] different [PERIOD]
stupid [AND] long [AND] calm [IMPLY] straightforward [PERIOD]
tense [AND] long [IMPLY] fragile [PERIOD]
stupid [IMPLY] attractive [PERIOD]
strange [AND] different [IMPLY] beautiful [PERIOD]
thoughtful [AND] comfortable [AND] stupid [IMPLY] perfect [PERIOD]
long [AND] bright [IMPLY] stormy [PERIOD]
frail [IMPLY] thoughtful [PERIOD]
hurt [AND] long [AND] bored [IMPLY] straightforward [PERIOD]
attractive [IMPLY] bright [PERIOD]
alert [AND] bright [IMPLY] strange [PERIOD]
tense [IMPLY] bored [PERIOD]
stupid [IMPLY] bored [PERIOD]
long [IMPLY] cute [PERIOD]
stupid [AND] hurt [AND] beautiful [IMPLY] cute [PERIOD]
bright [AND] calm [IMPLY] beautiful [PERIOD]
beautiful [AND] stupid [AND] fragile [IMPLY] alert [PERIOD]
foolish [IMPLY] hurt [PERIOD]
cute [AND] difficult [AND] hurt [IMPLY] outrageous [PERIOD]
thoughtful [AND] outrageous [AND] straightforward [IMPLY] calm [PERIOD]
calm [IMPLY] foolish [PERIOD]
thoughtful [AND] tense [IMPLY] perfect [PERIOD]
hurt [AND] alert [AND] bright [IMPLY] frail [PERIOD]
perfect [AND] beautiful [AND] bright [IMPLY] alert [PERIOD]
long [AND] bright [AND] strange [IMPLY] beautiful [PERIOD]
amused [AND] cute [AND] bright [IMPLY] perfect [PERIOD]
thoughtful [AND] bright [AND] hurt [IMPLY] anxious [PERIOD]
fragile [IMPLY] perfect [PERIOD]
comfortable [AND] amused [IMPLY] beautiful [PERIOD]
tense [IMPLY] foolish [PERIOD]
stupid [AND] fragile [IMPLY] amused [PERIOD]
stupid [AND] long [AND] attractive [IMPLY] fragile [PERIOD]
straightforward [IMPLY] bored [PERIOD]
fragile [IMPLY] alert [PERIOD]
attractive [AND] amused [IMPLY] long [PERIOD]
amused [AND] comfortable [AND] different [IMPLY] alert [PERIOD]
foolish [IMPLY] stormy [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   Cannot apply rule “thoughtful ⇒ cute” because missing: thoughtful.
   Cannot apply rule “thoughtful ∧ comfortable ∧ calm ⇒ cute” because missing: thoughtful, comfortable, calm.
   Cannot apply rule “alert ∧ outrageous ∧ perfect ⇒ cute” because missing: alert, outrageous, perfect.
   Cannot apply rule “strange ⇒ cute” because missing: strange.
   Cannot apply rule “alert ∧ bored ∧ attractive ⇒ cute” because missing: alert, bored, attractive.
   Cannot apply rule “long ⇒ cute” because missing: long.
   Cannot apply rule “stupid ∧ hurt ∧ beautiful ⇒ cute” because missing: stupid, hurt, beautiful.
",0,7
"Facts:  Alice is fancy [PERIOD] Alice is strange [PERIOD] Alice is grumpy [PERIOD] Alice is wrong [PERIOD] Alice is quaint [PERIOD] Alice is nervous [PERIOD] Alice is easy [PERIOD] Alice is tired [PERIOD] Alice is straightforward [PERIOD] Alice is shiny [PERIOD] Alice is sensible [PERIOD]
Rules:
grumpy [IMPLY] weary [PERIOD]
comfortable [AND] shiny [AND] easy [IMPLY] nervous [PERIOD]
tired [IMPLY] frail [PERIOD]
sensible [AND] frail [AND] tired [IMPLY] grumpy [PERIOD]
quaint [IMPLY] straightforward [PERIOD]
comfortable [AND] fancy [AND] grumpy [IMPLY] wrong [PERIOD]
grumpy [AND] quaint [AND] wrong [IMPLY] straightforward [PERIOD]
frail [AND] tired [IMPLY] comfortable [PERIOD]
easy [AND] wrong [AND] weary [IMPLY] strange [PERIOD]
comfortable [IMPLY] frail [PERIOD]
straightforward [IMPLY] quaint [PERIOD]
strange [AND] shiny [IMPLY] weary [PERIOD]
tired [IMPLY] weary [PERIOD]
easy [AND] strange [IMPLY] straightforward [PERIOD]
comfortable [AND] easy [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] easy [PERIOD]
easy [AND] sensible [IMPLY] grumpy [PERIOD]
strange [IMPLY] grumpy [PERIOD]
tired [AND] nervous [AND] comfortable [IMPLY] wrong [PERIOD]
sensible [IMPLY] straightforward [PERIOD]
grumpy [IMPLY] wrong [PERIOD]
straightforward [IMPLY] weary [PERIOD]
strange [AND] tired [AND] frail [IMPLY] easy [PERIOD]
grumpy [AND] comfortable [IMPLY] tired [PERIOD]
frail [AND] sensible [AND] straightforward [IMPLY] shiny [PERIOD]
perfect [AND] nervous [AND] tired [IMPLY] fancy [PERIOD]
nervous [IMPLY] comfortable [PERIOD]
weary [AND] tired [IMPLY] wrong [PERIOD]
quaint [AND] wrong [IMPLY] easy [PERIOD]
easy [AND] wrong [IMPLY] quaint [PERIOD]
wrong [IMPLY] comfortable [PERIOD]
easy [IMPLY] tired [PERIOD]
frail [AND] sensible [AND] comfortable [IMPLY] easy [PERIOD]
quaint [AND] grumpy [IMPLY] strange [PERIOD]
tired [AND] frail [IMPLY] shiny [PERIOD]
sensible [IMPLY] nervous [PERIOD]
comfortable [AND] tired [IMPLY] strange [PERIOD]
perfect [AND] grumpy [IMPLY] strange [PERIOD]
comfortable [AND] strange [AND] frail [IMPLY] straightforward [PERIOD]
perfect [IMPLY] nervous [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   tired ⇒ frail
",1,1
"Facts:  Alice is tired [PERIOD] Alice is mean [PERIOD]
Rules:
thoughtful [AND] bored [IMPLY] talkative [PERIOD]
supportive [AND] cruel [AND] thoughtful [IMPLY] homely [PERIOD]
fine [AND] bad-tempered [AND] friendly [IMPLY] bored [PERIOD]
uptight [AND] tense [AND] stubborn [IMPLY] bored [PERIOD]
tired [AND] alert [AND] foolish [IMPLY] homely [PERIOD]
foolish [AND] clean [AND] bad-tempered [IMPLY] hurt [PERIOD]
clean [IMPLY] vivacious [PERIOD]
mean [AND] tense [IMPLY] vivacious [PERIOD]
tame [AND] stubborn [AND] tired [IMPLY] difficult [PERIOD]
friendly [AND] messy [AND] alert [IMPLY] modern [PERIOD]
cruel [IMPLY] mean [PERIOD]
impatient [IMPLY] homely [PERIOD]
foolish [AND] witty [IMPLY] thoughtful [PERIOD]
alert [AND] foolish [AND] bored [IMPLY] talkative [PERIOD]
reserved [AND] messy [IMPLY] tame [PERIOD]
homely [AND] messy [AND] hurt [IMPLY] thoughtful [PERIOD]
clean [AND] glamorous [AND] aggressive [IMPLY] tired [PERIOD]
mean [AND] glamorous [AND] impatient [IMPLY] vivacious [PERIOD]
thoughtful [IMPLY] tense [PERIOD]
modern [AND] vivacious [IMPLY] bad-tempered [PERIOD]
talkative [IMPLY] mean [PERIOD]
stubborn [AND] witty [AND] modern [IMPLY] uptight [PERIOD]
supportive [AND] hurt [IMPLY] homely [PERIOD]
bad-tempered [AND] vivacious [IMPLY] foolish [PERIOD]
supportive [AND] uptight [IMPLY] foolish [PERIOD]
foolish [IMPLY] hurt [PERIOD]
uptight [AND] bored [IMPLY] tired [PERIOD]
difficult [IMPLY] talkative [PERIOD]
bad-tempered [IMPLY] vivacious [PERIOD]
tame [IMPLY] witty [PERIOD]
alert [IMPLY] glamorous [PERIOD]
talkative [AND] uptight [AND] thoughtful [IMPLY] cruel [PERIOD]
bad-tempered [AND] tense [AND] alert [IMPLY] uptight [PERIOD]
cruel [IMPLY] bad-tempered [PERIOD]
tired [IMPLY] tame [PERIOD]
mean [IMPLY] talkative [PERIOD]
tense [IMPLY] friendly [PERIOD]
difficult [AND] clean [IMPLY] messy [PERIOD]
homely [AND] modern [AND] thoughtful [IMPLY] tame [PERIOD]
difficult [AND] impatient [AND] tired [IMPLY] talkative [PERIOD]
reserved [IMPLY] impatient [PERIOD]
modern [IMPLY] tense [PERIOD]
homely [AND] alert [IMPLY] tense [PERIOD]
tense [AND] alert [AND] reserved [IMPLY] homely [PERIOD]
thoughtful [AND] aggressive [AND] bored [IMPLY] witty [PERIOD]
homely [AND] witty [AND] friendly [IMPLY] clean [PERIOD]
mean [IMPLY] tame [PERIOD]
witty [IMPLY] tired [PERIOD]
uptight [AND] homely [IMPLY] fine [PERIOD]
bored [AND] cruel [AND] homely [IMPLY] tense [PERIOD]
stubborn [IMPLY] bad-tempered [PERIOD]
tame [IMPLY] fine [PERIOD]
clean [AND] fine [AND] bad-tempered [IMPLY] uptight [PERIOD]
impatient [AND] aggressive [AND] cruel [IMPLY] modern [PERIOD]
mean [AND] foolish [AND] tired [IMPLY] thoughtful [PERIOD]
supportive [AND] fine [IMPLY] impatient [PERIOD]
mean [IMPLY] vivacious [PERIOD]
mean [AND] talkative [AND] foolish [IMPLY] tense [PERIOD]
messy [IMPLY] tame [PERIOD]
friendly [AND] bad-tempered [IMPLY] reserved [PERIOD]
tired [AND] foolish [IMPLY] modern [PERIOD]
foolish [IMPLY] bad-tempered [PERIOD]
friendly [AND] cruel [IMPLY] mean [PERIOD]
cruel [AND] homely [IMPLY] difficult [PERIOD]
stubborn [IMPLY] messy [PERIOD]
mean [AND] clean [AND] impatient [IMPLY] friendly [PERIOD]
difficult [AND] supportive [IMPLY] mean [PERIOD]
mean [AND] bad-tempered [AND] supportive [IMPLY] foolish [PERIOD]
bored [IMPLY] uptight [PERIOD]
aggressive [AND] hurt [IMPLY] bored [PERIOD]
tired [AND] uptight [IMPLY] difficult [PERIOD]
homely [IMPLY] bored [PERIOD]
aggressive [AND] cruel [IMPLY] foolish [PERIOD]
thoughtful [IMPLY] talkative [PERIOD]
bad-tempered [AND] homely [IMPLY] difficult [PERIOD]
talkative [AND] alert [IMPLY] glamorous [PERIOD]
bored [AND] aggressive [IMPLY] witty [PERIOD]
clean [AND] difficult [IMPLY] alert [PERIOD]
thoughtful [AND] modern [IMPLY] mean [PERIOD]
friendly [AND] tame [AND] thoughtful [IMPLY] foolish [PERIOD]
stubborn [AND] alert [AND] cruel [IMPLY] hurt [PERIOD]
supportive [AND] difficult [IMPLY] fine [PERIOD]
fine [IMPLY] hurt [PERIOD]
cruel [AND] homely [IMPLY] tired [PERIOD]
glamorous [IMPLY] witty [PERIOD]
alert [IMPLY] hurt [PERIOD]
glamorous [AND] difficult [IMPLY] bored [PERIOD]
vivacious [IMPLY] tired [PERIOD]
fine [AND] tired [AND] alert [IMPLY] supportive [PERIOD]
bored [AND] tame [AND] fine [IMPLY] witty [PERIOD]
modern [IMPLY] clean [PERIOD]
tame [AND] bad-tempered [IMPLY] impatient [PERIOD]
bored [AND] clean [IMPLY] foolish [PERIOD]
mean [AND] modern [IMPLY] bad-tempered [PERIOD]
stubborn [IMPLY] talkative [PERIOD]
foolish [AND] mean [AND] friendly [IMPLY] tame [PERIOD]
witty [AND] foolish [AND] homely [IMPLY] uptight [PERIOD]
uptight [AND] reserved [AND] stubborn [IMPLY] supportive [PERIOD]
vivacious [IMPLY] foolish [PERIOD]
clean [AND] bored [IMPLY] tense [PERIOD]
aggressive [IMPLY] stubborn [PERIOD]
thoughtful [AND] tired [IMPLY] tame [PERIOD]
bored [IMPLY] supportive [PERIOD]
homely [IMPLY] stubborn [PERIOD]
reserved [AND] fine [AND] thoughtful [IMPLY] vivacious [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   mean ⇒ tame
   mean ⇒ vivacious
   vivacious ⇒ foolish
   foolish ⇒ bad-tempered
   tame ∧ bad-tempered ⇒ impatient
   impatient ⇒ homely
   homely ⇒ stubborn
",1,7
"Facts:  Alice is loving [PERIOD] Alice is hurt [PERIOD] Alice is impartial [PERIOD] Alice is long [PERIOD] Alice is dull [PERIOD]
Rules:
ambitious [AND] broad-minded [IMPLY] fine [PERIOD]
sensible [IMPLY] long [PERIOD]
inquisitive [IMPLY] versatile [PERIOD]
mysterious [IMPLY] bright [PERIOD]
versatile [AND] difficult [IMPLY] mysterious [PERIOD]
victorious [AND] mysterious [IMPLY] uptight [PERIOD]
frail [AND] difficult [AND] ugly [IMPLY] crowded [PERIOD]
exuberant [IMPLY] hurt [PERIOD]
bright [AND] crowded [AND] uptight [IMPLY] tense [PERIOD]
difficult [AND] long [IMPLY] impartial [PERIOD]
victorious [AND] agreeable [IMPLY] crowded [PERIOD]
loving [AND] versatile [IMPLY] sensible [PERIOD]
bright [AND] long [IMPLY] inquisitive [PERIOD]
tense [AND] ambitious [IMPLY] impartial [PERIOD]
dull [IMPLY] victorious [PERIOD]
broad-minded [AND] versatile [AND] crowded [IMPLY] fine [PERIOD]
outstanding [AND] long [AND] tense [IMPLY] hurt [PERIOD]
agreeable [IMPLY] proud [PERIOD]
dull [AND] versatile [IMPLY] long [PERIOD]
inquisitive [IMPLY] frail [PERIOD]
frail [IMPLY] exuberant [PERIOD]
victorious [AND] fine [IMPLY] ambitious [PERIOD]
mysterious [AND] fine [IMPLY] uptight [PERIOD]
exuberant [AND] crowded [IMPLY] bright [PERIOD]
famous [AND] victorious [AND] loving [IMPLY] ambitious [PERIOD]
uptight [AND] famous [AND] ugly [IMPLY] ambitious [PERIOD]
inquisitive [AND] long [IMPLY] mysterious [PERIOD]
ugly [IMPLY] versatile [PERIOD]
tense [IMPLY] inquisitive [PERIOD]
long [AND] sensible [IMPLY] uptight [PERIOD]
sensible [IMPLY] inquisitive [PERIOD]
hurt [IMPLY] broad-minded [PERIOD]
broad-minded [AND] loving [IMPLY] frail [PERIOD]
broad-minded [AND] versatile [AND] agreeable [IMPLY] impartial [PERIOD]
ambitious [AND] mysterious [IMPLY] outstanding [PERIOD]
impartial [AND] dull [AND] ambitious [IMPLY] victorious [PERIOD]
ambitious [AND] difficult [AND] dull [IMPLY] frail [PERIOD]
ugly [IMPLY] dull [PERIOD]
mysterious [AND] broad-minded [AND] versatile [IMPLY] dull [PERIOD]
outstanding [IMPLY] exuberant [PERIOD]
frail [IMPLY] bright [PERIOD]
agreeable [AND] inquisitive [IMPLY] victorious [PERIOD]
loving [IMPLY] crowded [PERIOD]
outstanding [AND] ambitious [AND] uptight [IMPLY] impartial [PERIOD]
broad-minded [IMPLY] difficult [PERIOD]
inquisitive [AND] uptight [IMPLY] exuberant [PERIOD]
broad-minded [AND] tense [AND] bright [IMPLY] frail [PERIOD]
broad-minded [IMPLY] ugly [PERIOD]
inquisitive [IMPLY] bright [PERIOD]
mysterious [AND] victorious [IMPLY] outstanding [PERIOD]
broad-minded [AND] ugly [AND] versatile [IMPLY] loving [PERIOD]
famous [AND] outstanding [IMPLY] long [PERIOD]
broad-minded [AND] agreeable [IMPLY] difficult [PERIOD]
famous [AND] crowded [AND] dull [IMPLY] victorious [PERIOD]
outstanding [AND] famous [AND] crowded [IMPLY] long [PERIOD]
sensible [IMPLY] difficult [PERIOD]
bright [AND] broad-minded [AND] inquisitive [IMPLY] uptight [PERIOD]
crowded [AND] mysterious [AND] hurt [IMPLY] uptight [PERIOD]
dull [AND] outstanding [IMPLY] versatile [PERIOD]
agreeable [IMPLY] sensible [PERIOD]
bright [AND] frail [IMPLY] inquisitive [PERIOD]
uptight [AND] versatile [AND] hurt [IMPLY] bright [PERIOD]
inquisitive [AND] exuberant [IMPLY] broad-minded [PERIOD]
frail [AND] hurt [AND] mysterious [IMPLY] ugly [PERIOD]
ugly [AND] proud [AND] versatile [IMPLY] inquisitive [PERIOD]
victorious [AND] outstanding [IMPLY] sensible [PERIOD]
sensible [AND] long [AND] proud [IMPLY] hurt [PERIOD]
outstanding [IMPLY] agreeable [PERIOD]
uptight [AND] crowded [IMPLY] ambitious [PERIOD]
outstanding [IMPLY] difficult [PERIOD]
loving [AND] hurt [AND] proud [IMPLY] dull [PERIOD]
uptight [AND] inquisitive [IMPLY] bright [PERIOD]
agreeable [IMPLY] broad-minded [PERIOD]
long [IMPLY] impartial [PERIOD]
sensible [AND] bright [AND] uptight [IMPLY] broad-minded [PERIOD]
long [IMPLY] bright [PERIOD]
dull [AND] crowded [IMPLY] impartial [PERIOD]
hurt [AND] uptight [AND] ambitious [IMPLY] sensible [PERIOD]
frail [AND] uptight [IMPLY] versatile [PERIOD]
long [IMPLY] frail [PERIOD]
frail [AND] crowded [IMPLY] proud [PERIOD]
outstanding [AND] uptight [IMPLY] hurt [PERIOD]
exuberant [AND] ambitious [AND] loving [IMPLY] victorious [PERIOD]
ambitious [AND] crowded [AND] versatile [IMPLY] outstanding [PERIOD]
frail [IMPLY] impartial [PERIOD]
exuberant [IMPLY] dull [PERIOD]
loving [AND] bright [IMPLY] victorious [PERIOD]
long [AND] ugly [AND] difficult [IMPLY] agreeable [PERIOD]
victorious [AND] proud [IMPLY] outstanding [PERIOD]
inquisitive [AND] outstanding [IMPLY] difficult [PERIOD]
victorious [IMPLY] bright [PERIOD]
uptight [AND] inquisitive [IMPLY] frail [PERIOD]
broad-minded [AND] tense [AND] loving [IMPLY] victorious [PERIOD]
versatile [AND] ambitious [AND] fine [IMPLY] broad-minded [PERIOD]
victorious [AND] hurt [IMPLY] bright [PERIOD]
uptight [IMPLY] mysterious [PERIOD]
bright [AND] mysterious [IMPLY] ugly [PERIOD]
broad-minded [AND] ugly [IMPLY] bright [PERIOD]
ugly [IMPLY] agreeable [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   hurt ⇒ broad-minded
   broad-minded ⇒ ugly
   hurt ⇒ broad-minded
   broad-minded ⇒ difficult
   long ∧ ugly ∧ difficult ⇒ agreeable
   agreeable ⇒ sensible
",1,6
"Facts:  Alice is outstanding [PERIOD] Alice is distinct [PERIOD] Alice is exuberant [PERIOD] Alice is average [PERIOD]
Rules:
distinct [AND] wide-eyed [AND] friendly [IMPLY] average [PERIOD]
average [IMPLY] friendly [PERIOD]
average [IMPLY] crowded [PERIOD]
distinct [AND] outstanding [IMPLY] average [PERIOD]
wide-eyed [AND] distinct [AND] friendly [IMPLY] outstanding [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   No rule concludes “wide-eyed.”
",0,1
"Facts:  Alice is easy [PERIOD] Alice is hypocritical [PERIOD] Alice is difficult [PERIOD] Alice is attentive [PERIOD] Alice is messy [PERIOD] Alice is strange [PERIOD] Alice is innocent [PERIOD] Alice is bored [PERIOD] Alice is careless [PERIOD] Alice is rude [PERIOD] Alice is confused [PERIOD] Alice is charming [PERIOD]
Rules:
rude [AND] scared [IMPLY] tame [PERIOD]
tame [IMPLY] careless [PERIOD]
bored [IMPLY] difficult [PERIOD]
serious [AND] easy [AND] confused [IMPLY] attentive [PERIOD]
different [AND] difficult [AND] tame [IMPLY] bored [PERIOD]
strange [AND] curious [AND] careless [IMPLY] tame [PERIOD]
different [AND] difficult [AND] messy [IMPLY] combative [PERIOD]
rude [AND] scared [IMPLY] careless [PERIOD]
serious [AND] curious [AND] scared [IMPLY] tame [PERIOD]
rude [AND] combative [AND] tame [IMPLY] different [PERIOD]
different [AND] easy [AND] attentive [IMPLY] curious [PERIOD]
combative [AND] difficult [IMPLY] different [PERIOD]
charming [AND] easy [IMPLY] curious [PERIOD]
difficult [AND] scared [AND] serious [IMPLY] tame [PERIOD]
innocent [IMPLY] curious [PERIOD]
alert [AND] scared [AND] hypocritical [IMPLY] attentive [PERIOD]
careless [AND] tame [IMPLY] hypocritical [PERIOD]
mean [AND] tame [IMPLY] confused [PERIOD]
innocent [AND] tame [AND] messy [IMPLY] easy [PERIOD]
different [AND] rude [AND] difficult [IMPLY] combative [PERIOD]
messy [AND] alert [AND] combative [IMPLY] rude [PERIOD]
careless [IMPLY] hypocritical [PERIOD]
alert [AND] easy [IMPLY] strange [PERIOD]
charming [AND] confused [AND] bored [IMPLY] difficult [PERIOD]
different [AND] mean [AND] serious [IMPLY] alert [PERIOD]
scared [AND] easy [IMPLY] mean [PERIOD]
careless [IMPLY] difficult [PERIOD]
strange [IMPLY] easy [PERIOD]
attentive [AND] messy [IMPLY] confused [PERIOD]
alert [AND] tame [IMPLY] charming [PERIOD]
innocent [AND] combative [AND] serious [IMPLY] bored [PERIOD]
easy [IMPLY] hypocritical [PERIOD]
careless [AND] confused [IMPLY] curious [PERIOD]
rude [IMPLY] confused [PERIOD]
curious [AND] combative [AND] rude [IMPLY] bored [PERIOD]
strange [IMPLY] hypocritical [PERIOD]
tame [IMPLY] charming [PERIOD]
serious [AND] different [IMPLY] confused [PERIOD]
confused [AND] strange [IMPLY] difficult [PERIOD]
curious [IMPLY] difficult [PERIOD]
tame [AND] easy [IMPLY] confused [PERIOD]
different [AND] attentive [AND] hypocritical [IMPLY] mean [PERIOD]
alert [AND] difficult [IMPLY] confused [PERIOD]
charming [AND] different [IMPLY] rude [PERIOD]
confused [AND] combative [IMPLY] alert [PERIOD]
messy [IMPLY] rude [PERIOD]
messy [AND] strange [AND] bored [IMPLY] confused [PERIOD]
hypocritical [IMPLY] curious [PERIOD]
easy [IMPLY] rude [PERIOD]
messy [IMPLY] scared [PERIOD]
combative [IMPLY] alert [PERIOD]
tame [AND] alert [IMPLY] hypocritical [PERIOD]
attentive [IMPLY] innocent [PERIOD]
innocent [AND] attentive [IMPLY] careless [PERIOD]
messy [AND] easy [IMPLY] scared [PERIOD]
scared [AND] bored [AND] mean [IMPLY] hypocritical [PERIOD]
bored [AND] combative [IMPLY] messy [PERIOD]
careless [AND] attentive [IMPLY] strange [PERIOD]
alert [AND] careless [IMPLY] different [PERIOD]
curious [IMPLY] tame [PERIOD]
charming [AND] alert [AND] innocent [IMPLY] attentive [PERIOD]
charming [AND] different [IMPLY] curious [PERIOD]
tame [AND] hypocritical [AND] combative [IMPLY] bored [PERIOD]
bored [AND] attentive [IMPLY] scared [PERIOD]
scared [AND] rude [AND] attentive [IMPLY] innocent [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   careless ∧ confused ⇒ curious
   strange ∧ curious ∧ careless ⇒ tame
   Cannot apply rule “rude ∧ combative ∧ tame ⇒ different” because missing: combative.
   Cannot apply rule “combative ∧ difficult ⇒ different” because missing: combative.
   Cannot apply rule “alert ∧ careless ⇒ different” because missing: alert.
",0,5
"Facts:  Alice is silly [PERIOD] Alice is stormy [PERIOD] Alice is horrible [PERIOD] Alice is good [PERIOD] Alice is different [PERIOD] Alice is light [PERIOD]
Rules:
frightened [AND] stormy [AND] vivacious [IMPLY] frail [PERIOD]
light [AND] frightened [AND] pessimistic [IMPLY] good [PERIOD]
frail [AND] horrible [IMPLY] silly [PERIOD]
grumpy [AND] stormy [AND] fine [IMPLY] different [PERIOD]
stormy [AND] polite [IMPLY] vivacious [PERIOD]
light [AND] polite [AND] silly [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] frightened [PERIOD]
grumpy [AND] intellectual [AND] good [IMPLY] diplomatic [PERIOD]
silly [AND] light [AND] grumpy [IMPLY] pessimistic [PERIOD]
vivacious [AND] silly [AND] good [IMPLY] frail [PERIOD]
different [AND] light [IMPLY] inexpensive [PERIOD]
good [AND] horrible [AND] frail [IMPLY] inexpensive [PERIOD]
silly [AND] different [AND] pessimistic [IMPLY] polite [PERIOD]
intellectual [IMPLY] inexpensive [PERIOD]
light [AND] frail [IMPLY] inexpensive [PERIOD]
good [AND] vivacious [IMPLY] frightened [PERIOD]
diplomatic [AND] light [IMPLY] horrible [PERIOD]
different [AND] good [IMPLY] horrible [PERIOD]
intellectual [AND] good [AND] different [IMPLY] vivacious [PERIOD]
stormy [AND] old-fashioned [IMPLY] silly [PERIOD]
frail [AND] diplomatic [IMPLY] old-fashioned [PERIOD]
polite [IMPLY] frail [PERIOD]
horrible [IMPLY] stormy [PERIOD]
diplomatic [AND] silly [IMPLY] intellectual [PERIOD]
silly [IMPLY] good [PERIOD]
polite [AND] stormy [AND] fine [IMPLY] intellectual [PERIOD]
stormy [AND] vivacious [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] stormy [IMPLY] light [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “frightened ∧ stormy ∧ vivacious ⇒ frail” because missing: frightened, vivacious.
   Cannot apply rule “vivacious ∧ silly ∧ good ⇒ frail” because missing: vivacious.
   Cannot apply rule “polite ⇒ frail” because missing: polite.
",0,3
"Facts: 
Rules:
jittery [AND] wide-eyed [AND] mean [IMPLY] shy [PERIOD]
jittery [AND] messy [IMPLY] shy [PERIOD]
wide-eyed [AND] weary [IMPLY] bright [PERIOD]
jittery [IMPLY] combative [PERIOD]
messy [IMPLY] weary [PERIOD]
wide-eyed [AND] stupid [AND] weary [IMPLY] jittery [PERIOD]
wide-eyed [AND] stupid [AND] stubborn [IMPLY] shy [PERIOD]
messy [AND] shy [AND] wide-eyed [IMPLY] combative [PERIOD]
shy [AND] bright [AND] stupid [IMPLY] messy [PERIOD]
stupid [AND] shy [IMPLY] stubborn [PERIOD]
jittery [AND] messy [AND] shy [IMPLY] weary [PERIOD]
mean [AND] bright [IMPLY] jittery [PERIOD]
weary [AND] bright [IMPLY] mean [PERIOD]
shy [IMPLY] stupid [PERIOD]
bright [AND] weary [IMPLY] jittery [PERIOD]
mean [AND] weary [IMPLY] bright [PERIOD]
jittery [AND] mean [IMPLY] wide-eyed [PERIOD]
combative [AND] messy [AND] stupid [IMPLY] mean [PERIOD]
weary [AND] messy [IMPLY] shy [PERIOD]
jittery [AND] mean [AND] stubborn [IMPLY] shy [PERIOD]
combative [AND] shy [IMPLY] mean [PERIOD]
mean [IMPLY] jittery [PERIOD]
stupid [IMPLY] jittery [PERIOD]
jittery [AND] mean [AND] combative [IMPLY] messy [PERIOD]
stupid [IMPLY] weary [PERIOD]
wide-eyed [IMPLY] weary [PERIOD]
bright [AND] stupid [IMPLY] stubborn [PERIOD]
mean [AND] stupid [IMPLY] weary [PERIOD]
wide-eyed [AND] combative [IMPLY] shy [PERIOD]
weary [AND] jittery [IMPLY] messy [PERIOD]
weary [IMPLY] combative [PERIOD]
combative [IMPLY] jittery [PERIOD]
Query: Alice is jittery [PERIOD]","Proof chain:
   Cannot apply rule “wide-eyed ∧ stupid ∧ weary ⇒ jittery” because missing: wide-eyed, stupid, weary.
   Cannot apply rule “mean ∧ bright ⇒ jittery” because missing: mean, bright.
   Cannot apply rule “bright ∧ weary ⇒ jittery” because missing: bright, weary.
   Cannot apply rule “mean ⇒ jittery” because missing: mean.
   Cannot apply rule “stupid ⇒ jittery” because missing: stupid.
   Cannot apply rule “combative ⇒ jittery” because missing: combative.
",0,6
"Facts:  Alice is hurt [PERIOD] Alice is anxious [PERIOD]
Rules:
enchanting [IMPLY] inquisitive [PERIOD]
hurt [AND] mean [IMPLY] charming [PERIOD]
ugliest [AND] hurt [AND] intellectual [IMPLY] charming [PERIOD]
straightforward [AND] thoughtful [IMPLY] intellectual [PERIOD]
straightforward [IMPLY] stubborn [PERIOD]
thoughtful [AND] straightforward [AND] anxious [IMPLY] enchanting [PERIOD]
stubborn [AND] modern [IMPLY] enchanting [PERIOD]
weary [AND] thoughtful [AND] anxious [IMPLY] charming [PERIOD]
weary [AND] modern [IMPLY] enchanting [PERIOD]
hurt [AND] enchanting [AND] modern [IMPLY] straightforward [PERIOD]
thoughtful [AND] inquisitive [AND] anxious [IMPLY] mean [PERIOD]
charming [AND] mean [AND] hurt [IMPLY] weary [PERIOD]
thoughtful [IMPLY] ugliest [PERIOD]
mean [IMPLY] modern [PERIOD]
intellectual [AND] ugliest [IMPLY] modern [PERIOD]
mean [IMPLY] versatile [PERIOD]
modern [IMPLY] ugliest [PERIOD]
charming [IMPLY] modern [PERIOD]
mean [IMPLY] inquisitive [PERIOD]
anxious [AND] intellectual [IMPLY] hurt [PERIOD]
hurt [AND] inquisitive [IMPLY] straightforward [PERIOD]
modern [AND] charming [AND] anxious [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] intellectual [PERIOD]
inquisitive [AND] cute [AND] intellectual [IMPLY] straightforward [PERIOD]
mean [IMPLY] intellectual [PERIOD]
hurt [AND] cute [IMPLY] enchanting [PERIOD]
modern [IMPLY] stubborn [PERIOD]
cute [IMPLY] ugliest [PERIOD]
charming [IMPLY] enchanting [PERIOD]
straightforward [AND] enchanting [AND] mean [IMPLY] intellectual [PERIOD]
ugliest [AND] inquisitive [AND] thoughtful [IMPLY] intellectual [PERIOD]
modern [IMPLY] mean [PERIOD]
enchanting [AND] charming [IMPLY] inquisitive [PERIOD]
ugliest [IMPLY] mean [PERIOD]
versatile [IMPLY] mean [PERIOD]
charming [IMPLY] versatile [PERIOD]
stubborn [AND] enchanting [IMPLY] versatile [PERIOD]
charming [AND] stubborn [IMPLY] cute [PERIOD]
mean [AND] inquisitive [AND] versatile [IMPLY] modern [PERIOD]
straightforward [AND] modern [IMPLY] enchanting [PERIOD]
versatile [IMPLY] inquisitive [PERIOD]
intellectual [AND] ugliest [IMPLY] versatile [PERIOD]
anxious [AND] modern [AND] versatile [IMPLY] ugliest [PERIOD]
thoughtful [AND] versatile [IMPLY] anxious [PERIOD]
weary [IMPLY] ugliest [PERIOD]
intellectual [IMPLY] stubborn [PERIOD]
versatile [AND] ugliest [AND] modern [IMPLY] mean [PERIOD]
intellectual [IMPLY] straightforward [PERIOD]
mean [AND] inquisitive [IMPLY] versatile [PERIOD]
anxious [AND] modern [AND] straightforward [IMPLY] charming [PERIOD]
weary [AND] intellectual [IMPLY] versatile [PERIOD]
versatile [IMPLY] charming [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   Cannot apply rule “enchanting ⇒ inquisitive” because missing: enchanting.
   Cannot apply rule “mean ⇒ inquisitive” because missing: mean.
   Cannot apply rule “modern ∧ charming ∧ anxious ⇒ inquisitive” because missing: modern, charming.
   Cannot apply rule “enchanting ∧ charming ⇒ inquisitive” because missing: enchanting, charming.
   Cannot apply rule “versatile ⇒ inquisitive” because missing: versatile.
",0,5
"Facts:  Alice is calm [PERIOD] Alice is homely [PERIOD] Alice is distinct [PERIOD] Alice is embarrassed [PERIOD] Alice is popular [PERIOD] Alice is wrong [PERIOD] Alice is stormy [PERIOD] Alice is wide-eyed [PERIOD] Alice is dull [PERIOD] Alice is spotless [PERIOD] Alice is clean [PERIOD] Alice is comfortable [PERIOD] Alice is outrageous [PERIOD] Alice is impartial [PERIOD] Alice is friendly [PERIOD] Alice is vivacious [PERIOD] Alice is fancy [PERIOD] Alice is worried [PERIOD] Alice is intellectual [PERIOD] Alice is adorable [PERIOD] Alice is stubborn [PERIOD]
Rules:
stormy [IMPLY] innocent [PERIOD]
popular [AND] comfortable [AND] worried [IMPLY] friendly [PERIOD]
adorable [AND] wide-eyed [IMPLY] average [PERIOD]
worried [AND] homely [IMPLY] famous [PERIOD]
smart [AND] adorable [AND] worried [IMPLY] vivacious [PERIOD]
worried [AND] spotless [AND] outstanding [IMPLY] innocent [PERIOD]
comfortable [AND] calm [IMPLY] dull [PERIOD]
average [AND] stormy [AND] adorable [IMPLY] impartial [PERIOD]
popular [AND] wide-eyed [IMPLY] calm [PERIOD]
smart [IMPLY] friendly [PERIOD]
outstanding [IMPLY] smart [PERIOD]
innocent [IMPLY] impartial [PERIOD]
intellectual [AND] spotless [IMPLY] wide-eyed [PERIOD]
fancy [IMPLY] wrong [PERIOD]
famous [AND] clean [IMPLY] intellectual [PERIOD]
famous [AND] dull [AND] wide-eyed [IMPLY] spotless [PERIOD]
smart [AND] clean [AND] embarrassed [IMPLY] average [PERIOD]
wrong [IMPLY] distinct [PERIOD]
spotless [IMPLY] outstanding [PERIOD]
vivacious [AND] homely [IMPLY] stormy [PERIOD]
dull [AND] adorable [IMPLY] famous [PERIOD]
calm [IMPLY] homely [PERIOD]
average [IMPLY] fancy [PERIOD]
supportive [IMPLY] stormy [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   dull ∧ adorable ⇒ famous
",1,1
"Facts:  Alice is modern [PERIOD] Alice is dishonest [PERIOD]
Rules:
dishonest [AND] embarrassed [AND] messy [IMPLY] fine [PERIOD]
dishonest [IMPLY] plain [PERIOD]
embarrassed [AND] supportive [IMPLY] dishonest [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   No rule concludes “embarrassed.”
",0,1
"Facts:  Alice is gorgeous [PERIOD]
Rules:
loving [AND] intellectual [IMPLY] plain [PERIOD]
inquisitive [IMPLY] difficult [PERIOD]
talented [AND] witty [AND] quaint [IMPLY] famous [PERIOD]
intellectual [IMPLY] cooperative [PERIOD]
joyous [IMPLY] witty [PERIOD]
victorious [AND] shy [AND] tame [IMPLY] joyous [PERIOD]
cooperative [AND] easy [IMPLY] joyous [PERIOD]
fine [AND] difficult [IMPLY] courageous [PERIOD]
bossy [IMPLY] plain [PERIOD]
difficult [AND] quaint [IMPLY] bossy [PERIOD]
difficult [AND] cooperative [IMPLY] curious [PERIOD]
bossy [IMPLY] loving [PERIOD]
condemned [AND] mysterious [IMPLY] helpful [PERIOD]
shy [IMPLY] combative [PERIOD]
witty [IMPLY] combative [PERIOD]
joyous [AND] famous [IMPLY] average [PERIOD]
bossy [AND] joyous [AND] comfortable [IMPLY] cooperative [PERIOD]
bossy [AND] curious [AND] average [IMPLY] mysterious [PERIOD]
cooperative [AND] mysterious [IMPLY] average [PERIOD]
intellectual [AND] comfortable [IMPLY] helpful [PERIOD]
amused [AND] condemned [IMPLY] tame [PERIOD]
helpful [AND] bossy [AND] victorious [IMPLY] quaint [PERIOD]
plain [IMPLY] victorious [PERIOD]
witty [AND] inquisitive [AND] curious [IMPLY] easy [PERIOD]
condemned [IMPLY] witty [PERIOD]
helpful [AND] courageous [AND] difficult [IMPLY] inquisitive [PERIOD]
combative [AND] amused [AND] hurt [IMPLY] quaint [PERIOD]
mysterious [AND] combative [IMPLY] quaint [PERIOD]
average [AND] gorgeous [IMPLY] tame [PERIOD]
comfortable [IMPLY] easy [PERIOD]
mysterious [IMPLY] condemned [PERIOD]
average [AND] mysterious [AND] fine [IMPLY] loving [PERIOD]
mysterious [IMPLY] shy [PERIOD]
easy [AND] talented [AND] condemned [IMPLY] difficult [PERIOD]
average [AND] famous [AND] fine [IMPLY] mysterious [PERIOD]
victorious [AND] talented [AND] tame [IMPLY] difficult [PERIOD]
gorgeous [AND] loving [IMPLY] combative [PERIOD]
quaint [AND] gorgeous [AND] plain [IMPLY] witty [PERIOD]
joyous [AND] shy [AND] witty [IMPLY] spotless [PERIOD]
curious [AND] gorgeous [AND] combative [IMPLY] famous [PERIOD]
spotless [AND] plain [AND] amused [IMPLY] talented [PERIOD]
inquisitive [IMPLY] bossy [PERIOD]
tame [AND] gorgeous [IMPLY] combative [PERIOD]
average [AND] helpful [AND] mysterious [IMPLY] curious [PERIOD]
comfortable [IMPLY] loving [PERIOD]
plain [IMPLY] bossy [PERIOD]
quaint [IMPLY] inquisitive [PERIOD]
loving [AND] average [AND] fine [IMPLY] mysterious [PERIOD]
talented [AND] courageous [AND] amused [IMPLY] tame [PERIOD]
curious [IMPLY] victorious [PERIOD]
witty [AND] cooperative [AND] inquisitive [IMPLY] easy [PERIOD]
bossy [AND] easy [AND] average [IMPLY] tame [PERIOD]
gorgeous [AND] loving [IMPLY] quaint [PERIOD]
gorgeous [AND] joyous [IMPLY] cooperative [PERIOD]
tame [AND] plain [IMPLY] famous [PERIOD]
loving [AND] fine [AND] condemned [IMPLY] inquisitive [PERIOD]
average [AND] difficult [IMPLY] fine [PERIOD]
witty [AND] talented [AND] fine [IMPLY] quaint [PERIOD]
easy [AND] bossy [AND] curious [IMPLY] amused [PERIOD]
comfortable [IMPLY] inquisitive [PERIOD]
shy [AND] victorious [AND] plain [IMPLY] average [PERIOD]
mysterious [AND] helpful [AND] plain [IMPLY] talented [PERIOD]
shy [AND] loving [AND] joyous [IMPLY] easy [PERIOD]
combative [AND] victorious [AND] joyous [IMPLY] spotless [PERIOD]
tame [AND] witty [IMPLY] mysterious [PERIOD]
plain [AND] quaint [IMPLY] difficult [PERIOD]
difficult [IMPLY] gorgeous [PERIOD]
joyous [IMPLY] condemned [PERIOD]
loving [AND] famous [AND] joyous [IMPLY] combative [PERIOD]
talented [IMPLY] amused [PERIOD]
mysterious [AND] tame [IMPLY] plain [PERIOD]
mysterious [IMPLY] courageous [PERIOD]
courageous [AND] comfortable [AND] spotless [IMPLY] easy [PERIOD]
plain [IMPLY] difficult [PERIOD]
loving [AND] difficult [AND] victorious [IMPLY] curious [PERIOD]
condemned [IMPLY] hurt [PERIOD]
joyous [AND] amused [AND] bossy [IMPLY] curious [PERIOD]
curious [AND] difficult [IMPLY] condemned [PERIOD]
hurt [AND] victorious [AND] joyous [IMPLY] mysterious [PERIOD]
shy [IMPLY] tame [PERIOD]
spotless [AND] condemned [IMPLY] loving [PERIOD]
gorgeous [AND] fine [AND] shy [IMPLY] difficult [PERIOD]
fine [IMPLY] difficult [PERIOD]
fine [AND] helpful [AND] combative [IMPLY] curious [PERIOD]
tame [IMPLY] loving [PERIOD]
shy [IMPLY] cooperative [PERIOD]
talented [AND] shy [IMPLY] plain [PERIOD]
loving [AND] intellectual [AND] famous [IMPLY] tame [PERIOD]
easy [AND] tame [AND] victorious [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] witty [PERIOD]
loving [AND] cooperative [AND] plain [IMPLY] inquisitive [PERIOD]
helpful [AND] gorgeous [AND] fine [IMPLY] loving [PERIOD]
cooperative [AND] spotless [AND] helpful [IMPLY] loving [PERIOD]
shy [AND] difficult [AND] average [IMPLY] famous [PERIOD]
talented [AND] loving [AND] joyous [IMPLY] gorgeous [PERIOD]
famous [AND] tame [IMPLY] comfortable [PERIOD]
quaint [AND] loving [AND] famous [IMPLY] comfortable [PERIOD]
fine [IMPLY] famous [PERIOD]
curious [IMPLY] famous [PERIOD]
average [AND] curious [IMPLY] comfortable [PERIOD]
easy [AND] famous [AND] combative [IMPLY] average [PERIOD]
comfortable [AND] loving [AND] curious [IMPLY] fine [PERIOD]
gorgeous [AND] famous [IMPLY] combative [PERIOD]
plain [IMPLY] shy [PERIOD]
victorious [IMPLY] fine [PERIOD]
shy [IMPLY] fine [PERIOD]
hurt [AND] victorious [AND] witty [IMPLY] talented [PERIOD]
bossy [AND] easy [IMPLY] spotless [PERIOD]
famous [AND] average [AND] plain [IMPLY] intellectual [PERIOD]
difficult [AND] intellectual [AND] cooperative [IMPLY] bossy [PERIOD]
amused [AND] quaint [AND] intellectual [IMPLY] cooperative [PERIOD]
tame [IMPLY] plain [PERIOD]
bossy [AND] comfortable [AND] hurt [IMPLY] plain [PERIOD]
courageous [AND] curious [IMPLY] inquisitive [PERIOD]
talented [AND] intellectual [IMPLY] shy [PERIOD]
hurt [AND] combative [AND] difficult [IMPLY] easy [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   Cannot apply rule “bossy ∧ curious ∧ average ⇒ mysterious” because missing: bossy, curious, average.
   Cannot apply rule “average ∧ famous ∧ fine ⇒ mysterious” because missing: average, famous, fine.
   Cannot apply rule “loving ∧ average ∧ fine ⇒ mysterious” because missing: loving, average, fine.
   Cannot apply rule “tame ∧ witty ⇒ mysterious” because missing: tame, witty.
   Cannot apply rule “hurt ∧ victorious ∧ joyous ⇒ mysterious” because missing: hurt, victorious, joyous.
",0,5
"Facts:  Alice is attentive [PERIOD] Alice is tender [PERIOD] Alice is enchanting [PERIOD] Alice is talented [PERIOD] Alice is diplomatic [PERIOD] Alice is ambitious [PERIOD] Alice is fine [PERIOD] Alice is quaint [PERIOD] Alice is pleasant [PERIOD] Alice is good [PERIOD] Alice is tense [PERIOD] Alice is talkative [PERIOD] Alice is shiny [PERIOD] Alice is dishonest [PERIOD]
Rules:
beautiful [AND] attentive [IMPLY] frantic [PERIOD]
clumsy [IMPLY] talented [PERIOD]
excited [AND] ambitious [IMPLY] talkative [PERIOD]
tense [AND] fine [IMPLY] quaint [PERIOD]
talkative [IMPLY] enchanting [PERIOD]
tense [IMPLY] scared [PERIOD]
enchanting [AND] popular [AND] ambitious [IMPLY] tender [PERIOD]
quaint [AND] scared [AND] pleasant [IMPLY] dishonest [PERIOD]
tense [AND] confused [AND] clumsy [IMPLY] enchanting [PERIOD]
popular [AND] good [IMPLY] shiny [PERIOD]
excited [AND] scared [IMPLY] good [PERIOD]
fine [AND] popular [IMPLY] beautiful [PERIOD]
good [IMPLY] elegant [PERIOD]
good [IMPLY] ambitious [PERIOD]
scared [AND] clumsy [AND] diplomatic [IMPLY] tense [PERIOD]
diplomatic [IMPLY] elegant [PERIOD]
fine [AND] beautiful [AND] tense [IMPLY] frantic [PERIOD]
ambitious [AND] talkative [IMPLY] clumsy [PERIOD]
popular [AND] confused [AND] clumsy [IMPLY] shiny [PERIOD]
excited [AND] beautiful [AND] tender [IMPLY] tense [PERIOD]
pleasant [IMPLY] dishonest [PERIOD]
popular [AND] ambitious [AND] fine [IMPLY] clumsy [PERIOD]
ambitious [IMPLY] diplomatic [PERIOD]
pleasant [AND] confused [AND] frantic [IMPLY] talented [PERIOD]
elegant [AND] scared [IMPLY] confused [PERIOD]
popular [AND] fine [AND] anxious [IMPLY] scared [PERIOD]
ambitious [AND] attentive [IMPLY] frantic [PERIOD]
shiny [AND] elegant [AND] tender [IMPLY] fine [PERIOD]
ambitious [AND] scared [AND] talented [IMPLY] excited [PERIOD]
fine [AND] beautiful [AND] ambitious [IMPLY] enchanting [PERIOD]
tender [AND] ambitious [IMPLY] attentive [PERIOD]
scared [AND] enchanting [AND] talented [IMPLY] ambitious [PERIOD]
anxious [IMPLY] shiny [PERIOD]
frantic [IMPLY] shiny [PERIOD]
shiny [IMPLY] enchanting [PERIOD]
excited [AND] confused [AND] pleasant [IMPLY] good [PERIOD]
diplomatic [IMPLY] good [PERIOD]
clumsy [AND] beautiful [AND] shiny [IMPLY] attentive [PERIOD]
beautiful [AND] scared [AND] shiny [IMPLY] enchanting [PERIOD]
pleasant [AND] confused [IMPLY] tense [PERIOD]
talkative [IMPLY] beautiful [PERIOD]
good [AND] dishonest [IMPLY] tense [PERIOD]
ambitious [IMPLY] clumsy [PERIOD]
confused [IMPLY] good [PERIOD]
pleasant [AND] anxious [IMPLY] quaint [PERIOD]
scared [AND] quaint [AND] beautiful [IMPLY] talented [PERIOD]
anxious [IMPLY] frantic [PERIOD]
frantic [AND] pleasant [AND] talented [IMPLY] quaint [PERIOD]
elegant [IMPLY] attentive [PERIOD]
anxious [AND] tender [AND] fine [IMPLY] attentive [PERIOD]
beautiful [IMPLY] elegant [PERIOD]
anxious [AND] quaint [IMPLY] excited [PERIOD]
tense [AND] elegant [IMPLY] scared [PERIOD]
popular [IMPLY] enchanting [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   diplomatic ⇒ elegant
   tense ⇒ scared
   elegant ∧ scared ⇒ confused
",1,3
"Facts:  Alice is horrible [PERIOD] Alice is polite [PERIOD] Alice is rational [PERIOD] Alice is gleaming [PERIOD]
Rules:
smart [IMPLY] good [PERIOD]
frantic [IMPLY] gleaming [PERIOD]
charming [AND] frantic [IMPLY] outrageous [PERIOD]
distinct [AND] hilarious [IMPLY] frantic [PERIOD]
uptight [AND] cute [IMPLY] hilarious [PERIOD]
outrageous [AND] smart [AND] pessimistic [IMPLY] gleaming [PERIOD]
hilarious [AND] elegant [AND] smart [IMPLY] loving [PERIOD]
good [AND] charming [IMPLY] cute [PERIOD]
gleaming [IMPLY] distinct [PERIOD]
loving [AND] elegant [AND] long [IMPLY] horrible [PERIOD]
good [IMPLY] calm [PERIOD]
hilarious [AND] charming [AND] outrageous [IMPLY] frantic [PERIOD]
gleaming [AND] distinct [IMPLY] busy [PERIOD]
frantic [AND] uptight [AND] elegant [IMPLY] charming [PERIOD]
polite [IMPLY] cute [PERIOD]
hilarious [IMPLY] good [PERIOD]
smart [AND] cute [AND] hilarious [IMPLY] charming [PERIOD]
elegant [AND] cute [IMPLY] good [PERIOD]
polite [AND] horrible [AND] hilarious [IMPLY] good [PERIOD]
rational [AND] cute [IMPLY] calm [PERIOD]
polite [AND] long [IMPLY] good [PERIOD]
elegant [AND] good [IMPLY] pessimistic [PERIOD]
calm [IMPLY] cute [PERIOD]
cute [AND] uptight [IMPLY] outrageous [PERIOD]
calm [AND] cute [AND] loving [IMPLY] rational [PERIOD]
charming [AND] calm [AND] hilarious [IMPLY] horrible [PERIOD]
frantic [AND] smart [AND] hilarious [IMPLY] loving [PERIOD]
cute [AND] calm [AND] smart [IMPLY] busy [PERIOD]
cute [IMPLY] gleaming [PERIOD]
horrible [AND] cute [IMPLY] elegant [PERIOD]
hilarious [AND] calm [IMPLY] rational [PERIOD]
distinct [IMPLY] polite [PERIOD]
cute [IMPLY] calm [PERIOD]
calm [AND] smart [AND] pessimistic [IMPLY] outrageous [PERIOD]
distinct [IMPLY] frantic [PERIOD]
loving [IMPLY] long [PERIOD]
good [AND] polite [AND] elegant [IMPLY] rational [PERIOD]
busy [IMPLY] gleaming [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
   gleaming ⇒ distinct
   distinct ⇒ frantic
   polite ⇒ cute
   horrible ∧ cute ⇒ elegant
   Cannot apply rule “frantic ∧ uptight ∧ elegant ⇒ charming” because missing: uptight.
   polite ⇒ cute
   Cannot apply rule “smart ∧ cute ∧ hilarious ⇒ charming” because missing: smart, hilarious.
",0,7
"Facts:  Alice is muddy [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
rude [AND] versatile [IMPLY] bright [PERIOD]
clean [AND] cruel [AND] versatile [IMPLY] straightforward [PERIOD]
old-fashioned [AND] mysterious [AND] bright [IMPLY] anxious [PERIOD]
clean [AND] bright [IMPLY] mysterious [PERIOD]
homely [IMPLY] straightforward [PERIOD]
clean [AND] old-fashioned [AND] anxious [IMPLY] cruel [PERIOD]
cruel [AND] rude [AND] homely [IMPLY] anxious [PERIOD]
anxious [AND] bright [IMPLY] straightforward [PERIOD]
anxious [AND] versatile [IMPLY] bright [PERIOD]
homely [AND] straightforward [AND] cruel [IMPLY] versatile [PERIOD]
anxious [IMPLY] straightforward [PERIOD]
muddy [IMPLY] mysterious [PERIOD]
homely [IMPLY] cruel [PERIOD]
anxious [IMPLY] muddy [PERIOD]
rude [AND] mysterious [IMPLY] muddy [PERIOD]
versatile [AND] bright [AND] clean [IMPLY] anxious [PERIOD]
old-fashioned [AND] straightforward [AND] mysterious [IMPLY] cruel [PERIOD]
cruel [IMPLY] straightforward [PERIOD]
bright [AND] straightforward [AND] homely [IMPLY] clean [PERIOD]
mysterious [IMPLY] versatile [PERIOD]
cruel [IMPLY] old-fashioned [PERIOD]
cruel [IMPLY] versatile [PERIOD]
muddy [AND] versatile [AND] mysterious [IMPLY] old-fashioned [PERIOD]
versatile [AND] rude [AND] straightforward [IMPLY] muddy [PERIOD]
straightforward [AND] mysterious [IMPLY] homely [PERIOD]
clean [IMPLY] cruel [PERIOD]
bright [IMPLY] clean [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   muddy ⇒ mysterious
   mysterious ⇒ versatile
   Cannot apply rule “clean ∧ cruel ∧ versatile ⇒ straightforward” because missing: clean, cruel.
   Cannot apply rule “homely ⇒ straightforward” because missing: homely.
   Cannot apply rule “anxious ∧ bright ⇒ straightforward” because missing: anxious, bright.
   Cannot apply rule “anxious ⇒ straightforward” because missing: anxious.
   Cannot apply rule “cruel ⇒ straightforward” because missing: cruel.
",0,7
"Facts:  Alice is confident [PERIOD] Alice is careless [PERIOD] Alice is mean [PERIOD]
Rules:
glamorous [IMPLY] modern [PERIOD]
mean [IMPLY] bossy [PERIOD]
troubled [AND] courageous [IMPLY] beautiful [PERIOD]
mean [AND] courageous [AND] enchanting [IMPLY] stupid [PERIOD]
pleasant [AND] mean [IMPLY] worrisome [PERIOD]
glamorous [AND] difficult [IMPLY] pleasant [PERIOD]
difficult [IMPLY] troubled [PERIOD]
bossy [AND] stupid [AND] glamorous [IMPLY] careless [PERIOD]
difficult [IMPLY] confident [PERIOD]
courageous [AND] worrisome [IMPLY] troubled [PERIOD]
glamorous [AND] confident [AND] charming [IMPLY] worrisome [PERIOD]
glamorous [IMPLY] pleasant [PERIOD]
careless [AND] modern [AND] courageous [IMPLY] mean [PERIOD]
confident [AND] pleasant [IMPLY] mean [PERIOD]
bossy [AND] troubled [IMPLY] worrisome [PERIOD]
beautiful [IMPLY] confident [PERIOD]
courageous [AND] confident [AND] stupid [IMPLY] troubled [PERIOD]
troubled [AND] pleasant [AND] careless [IMPLY] worrisome [PERIOD]
careless [AND] troubled [IMPLY] mean [PERIOD]
troubled [IMPLY] hilarious [PERIOD]
bossy [IMPLY] modern [PERIOD]
modern [AND] beautiful [AND] troubled [IMPLY] enchanting [PERIOD]
modern [AND] mean [AND] charming [IMPLY] hilarious [PERIOD]
worrisome [AND] pleasant [IMPLY] mean [PERIOD]
beautiful [AND] confident [AND] mean [IMPLY] worrisome [PERIOD]
pleasant [IMPLY] courageous [PERIOD]
mean [AND] courageous [IMPLY] stupid [PERIOD]
courageous [AND] careless [IMPLY] worrisome [PERIOD]
hilarious [AND] confident [IMPLY] pleasant [PERIOD]
courageous [AND] beautiful [AND] worrisome [IMPLY] mean [PERIOD]
hilarious [AND] pleasant [AND] glamorous [IMPLY] enchanting [PERIOD]
worrisome [AND] hilarious [IMPLY] difficult [PERIOD]
hilarious [AND] bossy [IMPLY] enchanting [PERIOD]
charming [IMPLY] careless [PERIOD]
troubled [AND] stupid [AND] difficult [IMPLY] modern [PERIOD]
courageous [AND] beautiful [IMPLY] mean [PERIOD]
courageous [AND] glamorous [IMPLY] mean [PERIOD]
glamorous [IMPLY] difficult [PERIOD]
mean [IMPLY] stupid [PERIOD]
worrisome [AND] stupid [AND] mean [IMPLY] pleasant [PERIOD]
glamorous [AND] difficult [IMPLY] troubled [PERIOD]
modern [AND] stupid [IMPLY] beautiful [PERIOD]
bossy [AND] stupid [AND] modern [IMPLY] courageous [PERIOD]
troubled [AND] beautiful [IMPLY] worrisome [PERIOD]
troubled [AND] modern [IMPLY] worrisome [PERIOD]
courageous [AND] bossy [IMPLY] confident [PERIOD]
enchanting [AND] modern [IMPLY] confident [PERIOD]
worrisome [AND] hilarious [AND] troubled [IMPLY] stupid [PERIOD]
glamorous [AND] enchanting [AND] bossy [IMPLY] troubled [PERIOD]
pleasant [AND] beautiful [IMPLY] stupid [PERIOD]
stupid [IMPLY] charming [PERIOD]
hilarious [AND] charming [AND] enchanting [IMPLY] mean [PERIOD]
glamorous [AND] stupid [IMPLY] enchanting [PERIOD]
stupid [IMPLY] pleasant [PERIOD]
troubled [AND] beautiful [IMPLY] enchanting [PERIOD]
stupid [IMPLY] beautiful [PERIOD]
courageous [AND] enchanting [AND] stupid [IMPLY] beautiful [PERIOD]
troubled [AND] courageous [AND] charming [IMPLY] stupid [PERIOD]
difficult [AND] careless [IMPLY] confident [PERIOD]
bossy [AND] pleasant [IMPLY] glamorous [PERIOD]
bossy [AND] troubled [AND] hilarious [IMPLY] stupid [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   mean ⇒ bossy
   mean ⇒ stupid
   mean ⇒ bossy
   bossy ⇒ modern
   bossy ∧ stupid ∧ modern ⇒ courageous
",1,5
"Facts:  Alice is dishonest [PERIOD]
Rules:
dull [AND] dishonest [AND] pessimistic [IMPLY] attractive [PERIOD]
tense [IMPLY] careless [PERIOD]
careless [IMPLY] sensible [PERIOD]
crowded [AND] diplomatic [IMPLY] sensible [PERIOD]
worrisome [AND] tidy [IMPLY] agreeable [PERIOD]
talented [AND] worrisome [IMPLY] attractive [PERIOD]
attractive [AND] dull [IMPLY] pessimistic [PERIOD]
crowded [AND] pessimistic [AND] attractive [IMPLY] dishonest [PERIOD]
long [AND] dishonest [AND] crowded [IMPLY] careless [PERIOD]
attractive [AND] sensible [IMPLY] dishonest [PERIOD]
pessimistic [AND] long [IMPLY] talented [PERIOD]
sensible [IMPLY] homely [PERIOD]
reserved [AND] pessimistic [IMPLY] careless [PERIOD]
worrisome [IMPLY] attractive [PERIOD]
reserved [IMPLY] agreeable [PERIOD]
reserved [AND] agreeable [IMPLY] careless [PERIOD]
crowded [IMPLY] careless [PERIOD]
attractive [IMPLY] tense [PERIOD]
homely [AND] crowded [IMPLY] talented [PERIOD]
tidy [AND] tense [AND] talented [IMPLY] horrible [PERIOD]
dull [AND] agreeable [IMPLY] sensible [PERIOD]
dull [IMPLY] diplomatic [PERIOD]
pessimistic [AND] tidy [AND] agreeable [IMPLY] crowded [PERIOD]
talented [IMPLY] worrisome [PERIOD]
talented [AND] pessimistic [AND] dull [IMPLY] careless [PERIOD]
homely [IMPLY] tense [PERIOD]
ugliest [AND] talented [IMPLY] tidy [PERIOD]
reserved [AND] dull [IMPLY] dishonest [PERIOD]
diplomatic [AND] dishonest [AND] crowded [IMPLY] different [PERIOD]
reserved [IMPLY] homely [PERIOD]
agreeable [AND] diplomatic [AND] broad-minded [IMPLY] careless [PERIOD]
horrible [IMPLY] ugliest [PERIOD]
tense [AND] agreeable [IMPLY] attractive [PERIOD]
worrisome [IMPLY] horrible [PERIOD]
diplomatic [AND] dishonest [AND] reserved [IMPLY] crowded [PERIOD]
tidy [IMPLY] pessimistic [PERIOD]
reserved [AND] long [AND] sensible [IMPLY] pessimistic [PERIOD]
sensible [AND] horrible [IMPLY] careless [PERIOD]
careless [AND] agreeable [IMPLY] homely [PERIOD]
ugliest [IMPLY] worrisome [PERIOD]
broad-minded [AND] talented [IMPLY] attractive [PERIOD]
talented [AND] pessimistic [IMPLY] long [PERIOD]
crowded [AND] long [AND] ugliest [IMPLY] different [PERIOD]
dishonest [AND] crowded [IMPLY] dull [PERIOD]
dull [AND] sensible [AND] dishonest [IMPLY] pessimistic [PERIOD]
dull [AND] horrible [AND] ugliest [IMPLY] dishonest [PERIOD]
horrible [IMPLY] dull [PERIOD]
different [AND] horrible [IMPLY] dishonest [PERIOD]
dull [AND] careless [AND] reserved [IMPLY] horrible [PERIOD]
reserved [AND] pessimistic [AND] crowded [IMPLY] horrible [PERIOD]
tense [AND] ugliest [AND] long [IMPLY] diplomatic [PERIOD]
careless [IMPLY] broad-minded [PERIOD]
agreeable [IMPLY] tense [PERIOD]
different [AND] attractive [AND] broad-minded [IMPLY] ugliest [PERIOD]
broad-minded [AND] careless [AND] sensible [IMPLY] agreeable [PERIOD]
sensible [IMPLY] tense [PERIOD]
homely [IMPLY] different [PERIOD]
diplomatic [AND] agreeable [AND] careless [IMPLY] different [PERIOD]
long [AND] diplomatic [IMPLY] tense [PERIOD]
dull [AND] crowded [AND] talented [IMPLY] tense [PERIOD]
tidy [AND] reserved [AND] long [IMPLY] talented [PERIOD]
different [IMPLY] careless [PERIOD]
ugliest [AND] tidy [AND] worrisome [IMPLY] dull [PERIOD]
long [IMPLY] homely [PERIOD]
broad-minded [AND] homely [AND] diplomatic [IMPLY] dull [PERIOD]
reserved [IMPLY] attractive [PERIOD]
dishonest [AND] talented [IMPLY] homely [PERIOD]
broad-minded [IMPLY] sensible [PERIOD]
attractive [AND] long [IMPLY] tidy [PERIOD]
broad-minded [AND] sensible [IMPLY] homely [PERIOD]
dishonest [AND] long [IMPLY] reserved [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   Cannot apply rule “attractive ⇒ tense” because missing: attractive.
   Cannot apply rule “homely ⇒ tense” because missing: homely.
   Cannot apply rule “agreeable ⇒ tense” because missing: agreeable.
   Cannot apply rule “sensible ⇒ tense” because missing: sensible.
   Cannot apply rule “long ∧ diplomatic ⇒ tense” because missing: long, diplomatic.
   Cannot apply rule “dull ∧ crowded ∧ talented ⇒ tense” because missing: dull, crowded, talented.
",0,6
"Facts:  Alice is helpful [PERIOD] Alice is popular [PERIOD]
Rules:
polite [AND] impartial [AND] fearless [IMPLY] clean [PERIOD]
spotless [AND] polite [AND] clean [IMPLY] disgusted [PERIOD]
spotless [IMPLY] amused [PERIOD]
disgusted [AND] popular [IMPLY] helpful [PERIOD]
disgusted [AND] spotless [AND] amused [IMPLY] polite [PERIOD]
popular [AND] amused [AND] strange [IMPLY] famous [PERIOD]
clean [IMPLY] popular [PERIOD]
popular [AND] strange [AND] polite [IMPLY] impartial [PERIOD]
amused [AND] gifted [AND] disgusted [IMPLY] spotless [PERIOD]
amused [IMPLY] disgusted [PERIOD]
strange [AND] amused [AND] famous [IMPLY] disgusted [PERIOD]
spotless [AND] amused [IMPLY] helpful [PERIOD]
amused [AND] impartial [IMPLY] polite [PERIOD]
amused [AND] clean [AND] helpful [IMPLY] impartial [PERIOD]
polite [AND] disgusted [IMPLY] fearless [PERIOD]
impartial [IMPLY] popular [PERIOD]
strange [AND] helpful [IMPLY] impartial [PERIOD]
fearless [AND] helpful [AND] strange [IMPLY] disgusted [PERIOD]
popular [AND] clean [IMPLY] amused [PERIOD]
clean [AND] gifted [IMPLY] helpful [PERIOD]
strange [AND] clean [IMPLY] polite [PERIOD]
amused [AND] disgusted [AND] helpful [IMPLY] fearless [PERIOD]
popular [IMPLY] clean [PERIOD]
gifted [AND] helpful [AND] polite [IMPLY] strange [PERIOD]
popular [AND] famous [IMPLY] helpful [PERIOD]
gifted [AND] impartial [AND] polite [IMPLY] strange [PERIOD]
fearless [AND] popular [AND] helpful [IMPLY] spotless [PERIOD]
strange [AND] popular [IMPLY] disgusted [PERIOD]
spotless [AND] polite [IMPLY] impartial [PERIOD]
clean [AND] strange [AND] gifted [IMPLY] helpful [PERIOD]
strange [AND] helpful [IMPLY] famous [PERIOD]
strange [AND] clean [IMPLY] impartial [PERIOD]
disgusted [IMPLY] famous [PERIOD]
fearless [IMPLY] clean [PERIOD]
polite [IMPLY] popular [PERIOD]
polite [AND] amused [IMPLY] gifted [PERIOD]
impartial [IMPLY] famous [PERIOD]
spotless [IMPLY] strange [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   popular ⇒ clean
   popular ∧ clean ⇒ amused
   popular ⇒ clean
   popular ∧ clean ⇒ amused
   popular ⇒ clean
   amused ∧ clean ∧ helpful ⇒ impartial
   amused ∧ impartial ⇒ polite
",1,7
"Facts: 
Rules:
worried [IMPLY] enchanting [PERIOD]
proud [AND] fancy [AND] worried [IMPLY] thoughtful [PERIOD]
fragile [AND] glamorous [IMPLY] exuberant [PERIOD]
worried [AND] condemned [AND] enchanting [IMPLY] fearless [PERIOD]
thoughtful [IMPLY] glamorous [PERIOD]
enchanting [AND] perfect [IMPLY] distinct [PERIOD]
fragile [IMPLY] exuberant [PERIOD]
glamorous [AND] supportive [IMPLY] perfect [PERIOD]
exuberant [AND] thoughtful [AND] condemned [IMPLY] worried [PERIOD]
perfect [AND] exuberant [IMPLY] supportive [PERIOD]
perfect [AND] proud [AND] distinct [IMPLY] fearless [PERIOD]
worried [AND] enchanting [IMPLY] fearless [PERIOD]
thoughtful [AND] combative [AND] condemned [IMPLY] perfect [PERIOD]
thoughtful [IMPLY] perfect [PERIOD]
glamorous [IMPLY] distinct [PERIOD]
worried [AND] combative [IMPLY] distinct [PERIOD]
distinct [IMPLY] glamorous [PERIOD]
distinct [AND] worried [IMPLY] fearless [PERIOD]
perfect [AND] fragile [IMPLY] glamorous [PERIOD]
condemned [IMPLY] fearless [PERIOD]
supportive [AND] exuberant [AND] worried [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] proud [PERIOD]
proud [AND] enchanting [IMPLY] combative [PERIOD]
thoughtful [IMPLY] enchanting [PERIOD]
exuberant [AND] condemned [AND] distinct [IMPLY] thoughtful [PERIOD]
supportive [IMPLY] distinct [PERIOD]
perfect [AND] condemned [AND] thoughtful [IMPLY] enchanting [PERIOD]
glamorous [AND] exuberant [IMPLY] enchanting [PERIOD]
fearless [AND] fancy [AND] glamorous [IMPLY] enchanting [PERIOD]
combative [IMPLY] distinct [PERIOD]
perfect [AND] proud [AND] distinct [IMPLY] fragile [PERIOD]
thoughtful [AND] combative [AND] condemned [IMPLY] worried [PERIOD]
enchanting [AND] thoughtful [IMPLY] fancy [PERIOD]
enchanting [AND] exuberant [AND] thoughtful [IMPLY] distinct [PERIOD]
fragile [AND] enchanting [AND] fearless [IMPLY] thoughtful [PERIOD]
condemned [AND] distinct [AND] thoughtful [IMPLY] glamorous [PERIOD]
proud [AND] condemned [AND] combative [IMPLY] distinct [PERIOD]
fearless [AND] supportive [IMPLY] condemned [PERIOD]
enchanting [IMPLY] fearless [PERIOD]
worried [IMPLY] fearless [PERIOD]
combative [AND] condemned [IMPLY] proud [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   Cannot apply rule “enchanting ∧ perfect ⇒ distinct” because missing: enchanting, perfect.
   Cannot apply rule “glamorous ⇒ distinct” because missing: glamorous.
   Cannot apply rule “worried ∧ combative ⇒ distinct” because missing: worried, combative.
   Cannot apply rule “supportive ⇒ distinct” because missing: supportive.
   Cannot apply rule “combative ⇒ distinct” because missing: combative.
   Cannot apply rule “enchanting ∧ exuberant ∧ thoughtful ⇒ distinct” because missing: enchanting, exuberant, thoughtful.
   Cannot apply rule “proud ∧ condemned ∧ combative ⇒ distinct” because missing: proud, condemned, combative.
",0,7
"Facts:  Alice is attractive [PERIOD] Alice is witty [PERIOD] Alice is frantic [PERIOD] Alice is cute [PERIOD]
Rules:
bright [IMPLY] confident [PERIOD]
silly [AND] tidy [AND] fragile [IMPLY] dishonest [PERIOD]
attractive [IMPLY] confused [PERIOD]
cute [AND] frantic [AND] witty [IMPLY] dishonest [PERIOD]
confident [IMPLY] dishonest [PERIOD]
dishonest [AND] confused [IMPLY] witty [PERIOD]
fragile [AND] bright [IMPLY] silly [PERIOD]
bored [AND] dishonest [AND] cute [IMPLY] frantic [PERIOD]
cute [AND] bored [AND] confused [IMPLY] confident [PERIOD]
confident [AND] bored [IMPLY] fragile [PERIOD]
attractive [AND] cute [AND] fragile [IMPLY] dishonest [PERIOD]
dishonest [AND] bored [IMPLY] cute [PERIOD]
silly [IMPLY] confident [PERIOD]
bored [AND] silly [AND] fragile [IMPLY] frantic [PERIOD]
tidy [AND] cute [AND] frantic [IMPLY] dishonest [PERIOD]
confident [AND] frantic [IMPLY] attractive [PERIOD]
silly [AND] witty [AND] bored [IMPLY] fragile [PERIOD]
attractive [AND] cute [IMPLY] bored [PERIOD]
cute [IMPLY] confident [PERIOD]
witty [AND] bored [AND] bright [IMPLY] frantic [PERIOD]
frantic [IMPLY] tidy [PERIOD]
witty [AND] bright [AND] dishonest [IMPLY] cute [PERIOD]
frantic [AND] attractive [IMPLY] fragile [PERIOD]
bored [IMPLY] confident [PERIOD]
attractive [AND] tidy [IMPLY] bright [PERIOD]
dishonest [IMPLY] cute [PERIOD]
frantic [AND] dishonest [AND] fragile [IMPLY] tidy [PERIOD]
witty [IMPLY] silly [PERIOD]
fragile [AND] attractive [AND] dishonest [IMPLY] confident [PERIOD]
dishonest [AND] witty [IMPLY] confused [PERIOD]
bored [AND] witty [IMPLY] bright [PERIOD]
tidy [AND] silly [IMPLY] confident [PERIOD]
dishonest [AND] cute [AND] bright [IMPLY] bored [PERIOD]
fragile [AND] bored [AND] witty [IMPLY] dishonest [PERIOD]
frantic [AND] cute [IMPLY] witty [PERIOD]
confused [AND] attractive [AND] silly [IMPLY] frantic [PERIOD]
fragile [IMPLY] bored [PERIOD]
witty [AND] tidy [AND] attractive [IMPLY] bright [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   witty ⇒ silly
",1,1
"Facts:  Alice is easy [PERIOD]
Rules:
horrible [AND] troubled [AND] worrisome [IMPLY] fragile [PERIOD]
fine [AND] worrisome [AND] horrible [IMPLY] confident [PERIOD]
nervous [AND] worrisome [AND] diplomatic [IMPLY] mysterious [PERIOD]
sincere [AND] diplomatic [AND] wrong [IMPLY] bored [PERIOD]
fragile [AND] tired [AND] troubled [IMPLY] bored [PERIOD]
uptight [AND] talkative [IMPLY] sincere [PERIOD]
tired [AND] uptight [AND] confident [IMPLY] worrisome [PERIOD]
sincere [AND] fine [AND] ugly [IMPLY] talkative [PERIOD]
exuberant [IMPLY] fragile [PERIOD]
horrible [AND] fine [IMPLY] troubled [PERIOD]
talkative [IMPLY] easy [PERIOD]
sincere [IMPLY] nervous [PERIOD]
blushing [IMPLY] popular [PERIOD]
exuberant [AND] fine [IMPLY] popular [PERIOD]
diplomatic [AND] blushing [AND] ugly [IMPLY] horrible [PERIOD]
nervous [IMPLY] bored [PERIOD]
horrible [AND] fine [AND] confident [IMPLY] vivacious [PERIOD]
careless [IMPLY] bored [PERIOD]
rude [AND] easy [IMPLY] vivacious [PERIOD]
rude [AND] muddy [IMPLY] precious [PERIOD]
fine [AND] rude [AND] fragile [IMPLY] ugly [PERIOD]
ugly [IMPLY] popular [PERIOD]
bored [IMPLY] fragile [PERIOD]
diplomatic [IMPLY] vivacious [PERIOD]
talkative [AND] diplomatic [AND] popular [IMPLY] sincere [PERIOD]
sincere [AND] worrisome [AND] nervous [IMPLY] vivacious [PERIOD]
ugly [AND] confident [AND] worrisome [IMPLY] sincere [PERIOD]
fragile [AND] blushing [IMPLY] wrong [PERIOD]
wrong [IMPLY] worrisome [PERIOD]
wrong [IMPLY] blushing [PERIOD]
precious [AND] popular [IMPLY] confident [PERIOD]
rude [AND] careless [IMPLY] nervous [PERIOD]
horrible [AND] diplomatic [AND] uptight [IMPLY] sensible [PERIOD]
vivacious [AND] troubled [IMPLY] exuberant [PERIOD]
mysterious [IMPLY] muddy [PERIOD]
troubled [IMPLY] rude [PERIOD]
fragile [IMPLY] vivacious [PERIOD]
talkative [AND] wrong [AND] exuberant [IMPLY] fine [PERIOD]
nervous [IMPLY] rude [PERIOD]
sincere [AND] sensible [AND] rude [IMPLY] exuberant [PERIOD]
nervous [AND] precious [AND] sensible [IMPLY] uptight [PERIOD]
fine [AND] sincere [IMPLY] nervous [PERIOD]
blushing [IMPLY] worrisome [PERIOD]
tired [AND] horrible [IMPLY] diplomatic [PERIOD]
sensible [IMPLY] uptight [PERIOD]
wrong [AND] blushing [IMPLY] sincere [PERIOD]
blushing [IMPLY] mysterious [PERIOD]
easy [AND] mysterious [AND] muddy [IMPLY] confident [PERIOD]
vivacious [AND] fragile [IMPLY] worrisome [PERIOD]
fragile [AND] ugly [AND] sensible [IMPLY] talkative [PERIOD]
wrong [AND] bored [AND] muddy [IMPLY] sincere [PERIOD]
sincere [AND] worrisome [AND] exuberant [IMPLY] tired [PERIOD]
talkative [IMPLY] tired [PERIOD]
tired [IMPLY] fragile [PERIOD]
blushing [AND] talkative [AND] sensible [IMPLY] precious [PERIOD]
exuberant [AND] fine [AND] nervous [IMPLY] diplomatic [PERIOD]
ugly [AND] popular [AND] hypocritical [IMPLY] tired [PERIOD]
horrible [IMPLY] rude [PERIOD]
sensible [IMPLY] blushing [PERIOD]
bored [AND] fragile [IMPLY] popular [PERIOD]
uptight [IMPLY] horrible [PERIOD]
talkative [AND] horrible [IMPLY] sincere [PERIOD]
fine [IMPLY] bored [PERIOD]
diplomatic [AND] uptight [IMPLY] popular [PERIOD]
hypocritical [AND] rude [IMPLY] careless [PERIOD]
hypocritical [AND] mysterious [AND] talkative [IMPLY] sincere [PERIOD]
wrong [AND] precious [AND] careless [IMPLY] diplomatic [PERIOD]
wrong [AND] precious [AND] sensible [IMPLY] muddy [PERIOD]
confident [IMPLY] worrisome [PERIOD]
fine [AND] uptight [IMPLY] talkative [PERIOD]
muddy [AND] tired [IMPLY] popular [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   Cannot apply rule “horrible ∧ fine ∧ confident ⇒ vivacious” because missing: horrible, fine, confident.
   Cannot apply rule “rude ∧ easy ⇒ vivacious” because missing: rude.
   Cannot apply rule “diplomatic ⇒ vivacious” because missing: diplomatic.
   Cannot apply rule “sincere ∧ worrisome ∧ nervous ⇒ vivacious” because missing: sincere, worrisome, nervous.
   Cannot apply rule “fragile ⇒ vivacious” because missing: fragile.
",0,5
"Facts:  Alice is rude [PERIOD] Alice is hilarious [PERIOD] Alice is straightforward [PERIOD] Alice is comfortable [PERIOD] Alice is tired [PERIOD] Alice is clumsy [PERIOD] Alice is fragile [PERIOD] Alice is outstanding [PERIOD] Alice is fearless [PERIOD] Alice is jittery [PERIOD] Alice is worrisome [PERIOD]
Rules:
impatient [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] elegant [PERIOD]
straightforward [IMPLY] fragile [PERIOD]
lonely [AND] impartial [AND] fearless [IMPLY] outstanding [PERIOD]
rude [IMPLY] worrisome [PERIOD]
stupid [AND] supportive [IMPLY] wandering [PERIOD]
talkative [AND] tame [AND] average [IMPLY] comfortable [PERIOD]
worrisome [IMPLY] fragile [PERIOD]
fearless [AND] tired [IMPLY] outstanding [PERIOD]
tired [AND] worrisome [AND] impartial [IMPLY] clumsy [PERIOD]
tame [AND] outstanding [IMPLY] tense [PERIOD]
wandering [AND] straightforward [IMPLY] tense [PERIOD]
modern [IMPLY] jittery [PERIOD]
clumsy [IMPLY] fearless [PERIOD]
talkative [AND] worrisome [AND] cute [IMPLY] lonely [PERIOD]
fragile [IMPLY] worrisome [PERIOD]
lonely [AND] cute [IMPLY] straightforward [PERIOD]
comfortable [AND] tired [AND] blushing [IMPLY] fragile [PERIOD]
elated [AND] hilarious [IMPLY] impatient [PERIOD]
worrisome [IMPLY] clumsy [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   No rule concludes “elated.”
",0,1
"Facts:  Alice is friendly [PERIOD] Alice is stormy [PERIOD] Alice is rude [PERIOD] Alice is worrisome [PERIOD] Alice is excited [PERIOD] Alice is inexpensive [PERIOD] Alice is anxious [PERIOD] Alice is witty [PERIOD] Alice is thoughtful [PERIOD]
Rules:
diplomatic [IMPLY] witty [PERIOD]
thoughtful [AND] modern [IMPLY] diplomatic [PERIOD]
gifted [IMPLY] fine [PERIOD]
inexpensive [AND] crowded [IMPLY] rude [PERIOD]
witty [IMPLY] enchanting [PERIOD]
homely [AND] plain [IMPLY] crowded [PERIOD]
modern [AND] stormy [AND] precious [IMPLY] comfortable [PERIOD]
plain [IMPLY] courageous [PERIOD]
silly [AND] uptight [AND] difficult [IMPLY] fancy [PERIOD]
rude [IMPLY] silly [PERIOD]
homely [IMPLY] thoughtful [PERIOD]
difficult [IMPLY] innocent [PERIOD]
courageous [AND] fancy [AND] thoughtful [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] crowded [PERIOD]
modern [IMPLY] innocent [PERIOD]
difficult [AND] stormy [AND] rude [IMPLY] courageous [PERIOD]
innocent [IMPLY] inexpensive [PERIOD]
enchanting [IMPLY] fancy [PERIOD]
plain [AND] mysterious [IMPLY] inexpensive [PERIOD]
crowded [IMPLY] rude [PERIOD]
excited [AND] witty [IMPLY] friendly [PERIOD]
inexpensive [IMPLY] modern [PERIOD]
fancy [IMPLY] excited [PERIOD]
anxious [AND] enchanting [AND] uptight [IMPLY] fine [PERIOD]
uptight [IMPLY] stormy [PERIOD]
enchanting [AND] innocent [AND] courageous [IMPLY] anxious [PERIOD]
mysterious [AND] thoughtful [IMPLY] friendly [PERIOD]
rude [IMPLY] witty [PERIOD]
comfortable [AND] diplomatic [AND] witty [IMPLY] anxious [PERIOD]
witty [AND] enchanting [AND] homely [IMPLY] worrisome [PERIOD]
friendly [AND] plain [AND] rude [IMPLY] fancy [PERIOD]
witty [IMPLY] fancy [PERIOD]
gifted [IMPLY] comfortable [PERIOD]
diplomatic [AND] uptight [IMPLY] enchanting [PERIOD]
uptight [IMPLY] fancy [PERIOD]
stormy [AND] fancy [AND] courageous [IMPLY] enchanting [PERIOD]
witty [IMPLY] modern [PERIOD]
plain [AND] modern [AND] stupid [IMPLY] crowded [PERIOD]
thoughtful [IMPLY] uptight [PERIOD]
gifted [IMPLY] difficult [PERIOD]
inexpensive [AND] fancy [AND] excited [IMPLY] diplomatic [PERIOD]
anxious [AND] stupid [IMPLY] inexpensive [PERIOD]
witty [AND] rude [IMPLY] stupid [PERIOD]
stupid [AND] inexpensive [AND] mysterious [IMPLY] difficult [PERIOD]
excited [AND] difficult [IMPLY] precious [PERIOD]
enchanting [AND] fancy [AND] uptight [IMPLY] anxious [PERIOD]
courageous [AND] crowded [AND] difficult [IMPLY] gifted [PERIOD]
precious [IMPLY] crowded [PERIOD]
gifted [IMPLY] worrisome [PERIOD]
gifted [AND] anxious [AND] fine [IMPLY] uptight [PERIOD]
worrisome [IMPLY] friendly [PERIOD]
enchanting [IMPLY] precious [PERIOD]
inexpensive [AND] friendly [AND] gifted [IMPLY] excited [PERIOD]
difficult [AND] diplomatic [AND] crowded [IMPLY] fancy [PERIOD]
enchanting [AND] plain [IMPLY] gifted [PERIOD]
stormy [AND] enchanting [AND] innocent [IMPLY] precious [PERIOD]
comfortable [AND] modern [IMPLY] silly [PERIOD]
rude [AND] stupid [IMPLY] friendly [PERIOD]
stupid [IMPLY] silly [PERIOD]
modern [AND] crowded [IMPLY] gifted [PERIOD]
crowded [AND] stormy [IMPLY] innocent [PERIOD]
difficult [AND] diplomatic [IMPLY] homely [PERIOD]
comfortable [IMPLY] crowded [PERIOD]
stupid [AND] stormy [AND] homely [IMPLY] modern [PERIOD]
excited [AND] comfortable [AND] witty [IMPLY] modern [PERIOD]
gifted [AND] fine [IMPLY] innocent [PERIOD]
worrisome [IMPLY] enchanting [PERIOD]
precious [AND] difficult [IMPLY] homely [PERIOD]
crowded [AND] precious [AND] difficult [IMPLY] innocent [PERIOD]
excited [AND] plain [IMPLY] stupid [PERIOD]
plain [AND] witty [IMPLY] precious [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   inexpensive ⇒ modern
   witty ⇒ enchanting
   enchanting ⇒ precious
   precious ⇒ crowded
   modern ∧ crowded ⇒ gifted
   gifted ⇒ difficult
   difficult ∧ stormy ∧ rude ⇒ courageous
",1,7
"Facts:  Alice is wrong [PERIOD] Alice is cute [PERIOD] Alice is condemned [PERIOD] Alice is tired [PERIOD] Alice is fine [PERIOD] Alice is dull [PERIOD] Alice is confident [PERIOD] Alice is cooperative [PERIOD] Alice is busy [PERIOD] Alice is proud [PERIOD] Alice is muddy [PERIOD] Alice is stormy [PERIOD] Alice is adorable [PERIOD] Alice is helpful [PERIOD] Alice is tender [PERIOD] Alice is frail [PERIOD] Alice is elegant [PERIOD] Alice is horrible [PERIOD] Alice is blushing [PERIOD] Alice is helpless [PERIOD] Alice is pleasant [PERIOD] Alice is supportive [PERIOD]
Rules:
confident [IMPLY] crowded [PERIOD]
muddy [AND] condemned [IMPLY] inexpensive [PERIOD]
courageous [AND] frail [IMPLY] cooperative [PERIOD]
blushing [AND] stormy [AND] courageous [IMPLY] wrong [PERIOD]
wrong [AND] blushing [AND] helpless [IMPLY] inexpensive [PERIOD]
stormy [AND] horrible [IMPLY] cute [PERIOD]
cute [AND] confident [IMPLY] tired [PERIOD]
elegant [AND] proud [IMPLY] helpless [PERIOD]
condemned [AND] bad-tempered [IMPLY] tired [PERIOD]
tired [AND] dull [AND] proud [IMPLY] crowded [PERIOD]
dull [AND] fine [IMPLY] cooperative [PERIOD]
courageous [AND] blushing [IMPLY] supportive [PERIOD]
helpful [AND] blushing [IMPLY] horrible [PERIOD]
busy [IMPLY] crowded [PERIOD]
inexpensive [AND] cooperative [IMPLY] courageous [PERIOD]
inexpensive [AND] precious [IMPLY] dull [PERIOD]
precious [AND] wrong [AND] tired [IMPLY] crowded [PERIOD]
horrible [IMPLY] supportive [PERIOD]
courageous [IMPLY] muddy [PERIOD]
wrong [IMPLY] tender [PERIOD]
wrong [IMPLY] fine [PERIOD]
adorable [AND] wrong [IMPLY] supportive [PERIOD]
cute [AND] elegant [IMPLY] fine [PERIOD]
confident [IMPLY] elegant [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   No rule concludes “witty.”
",0,1
"Facts: 
Rules:
hypocritical [AND] sincere [IMPLY] helpless [PERIOD]
helpless [AND] hypocritical [AND] aggressive [IMPLY] attentive [PERIOD]
sincere [AND] attentive [IMPLY] precious [PERIOD]
hypocritical [IMPLY] helpless [PERIOD]
helpless [AND] precious [IMPLY] gleaming [PERIOD]
hypocritical [IMPLY] calm [PERIOD]
aggressive [IMPLY] attentive [PERIOD]
aggressive [AND] precious [AND] helpless [IMPLY] gleaming [PERIOD]
sincere [IMPLY] gleaming [PERIOD]
precious [AND] attentive [AND] helpless [IMPLY] aggressive [PERIOD]
calm [AND] precious [IMPLY] sincere [PERIOD]
aggressive [AND] helpless [IMPLY] calm [PERIOD]
aggressive [AND] helpless [IMPLY] hypocritical [PERIOD]
attentive [AND] sincere [IMPLY] calm [PERIOD]
calm [AND] hypocritical [AND] gleaming [IMPLY] attentive [PERIOD]
gleaming [AND] sincere [AND] calm [IMPLY] helpless [PERIOD]
gleaming [IMPLY] sincere [PERIOD]
hypocritical [AND] aggressive [AND] attentive [IMPLY] sincere [PERIOD]
calm [AND] precious [AND] hypocritical [IMPLY] gleaming [PERIOD]
sincere [AND] precious [IMPLY] attentive [PERIOD]
gleaming [AND] aggressive [AND] sincere [IMPLY] precious [PERIOD]
gleaming [IMPLY] calm [PERIOD]
calm [IMPLY] precious [PERIOD]
sincere [IMPLY] aggressive [PERIOD]
hypocritical [AND] gleaming [IMPLY] precious [PERIOD]
aggressive [AND] attentive [AND] gleaming [IMPLY] hypocritical [PERIOD]
calm [AND] gleaming [IMPLY] hypocritical [PERIOD]
calm [AND] attentive [AND] aggressive [IMPLY] sincere [PERIOD]
calm [AND] precious [IMPLY] helpless [PERIOD]
calm [AND] gleaming [IMPLY] helpless [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   Cannot apply rule “hypocritical ∧ sincere ⇒ helpless” because missing: hypocritical, sincere.
   Cannot apply rule “hypocritical ⇒ helpless” because missing: hypocritical.
   Cannot apply rule “gleaming ∧ sincere ∧ calm ⇒ helpless” because missing: gleaming, sincere, calm.
   Cannot apply rule “calm ∧ precious ⇒ helpless” because missing: calm, precious.
   Cannot apply rule “calm ∧ gleaming ⇒ helpless” because missing: calm, gleaming.
",0,5
"Facts:  Alice is troubled [PERIOD] Alice is confused [PERIOD] Alice is average [PERIOD] Alice is charming [PERIOD] Alice is spotless [PERIOD] Alice is enchanting [PERIOD] Alice is proud [PERIOD] Alice is tidy [PERIOD] Alice is strange [PERIOD] Alice is lonely [PERIOD] Alice is wrong [PERIOD] Alice is alert [PERIOD] Alice is comfortable [PERIOD] Alice is messy [PERIOD] Alice is inquisitive [PERIOD] Alice is ugliest [PERIOD] Alice is worried [PERIOD] Alice is wandering [PERIOD] Alice is amused [PERIOD] Alice is famous [PERIOD] Alice is long [PERIOD] Alice is confident [PERIOD] Alice is nervous [PERIOD] Alice is aggressive [PERIOD] Alice is rude [PERIOD]
Rules:
proud [AND] strange [IMPLY] messy [PERIOD]
messy [IMPLY] wandering [PERIOD]
messy [AND] confused [IMPLY] tidy [PERIOD]
long [AND] alert [IMPLY] wrong [PERIOD]
inquisitive [IMPLY] spotless [PERIOD]
proud [IMPLY] aggressive [PERIOD]
wandering [IMPLY] inquisitive [PERIOD]
enchanting [AND] alert [AND] charming [IMPLY] inquisitive [PERIOD]
troubled [IMPLY] proud [PERIOD]
rude [AND] wandering [IMPLY] nervous [PERIOD]
proud [AND] confident [AND] ugliest [IMPLY] spotless [PERIOD]
confident [AND] comfortable [AND] average [IMPLY] enchanting [PERIOD]
ugliest [IMPLY] confident [PERIOD]
troubled [AND] confident [IMPLY] rude [PERIOD]
nervous [IMPLY] alert [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is unpleasant [PERIOD] Alice is frightened [PERIOD]
Rules:
curious [IMPLY] hypocritical [PERIOD]
curious [AND] frightened [AND] unpleasant [IMPLY] talented [PERIOD]
hypocritical [AND] curious [AND] talented [IMPLY] unpleasant [PERIOD]
hypocritical [IMPLY] unpleasant [PERIOD]
hypocritical [IMPLY] frightened [PERIOD]
unpleasant [AND] talented [AND] curious [IMPLY] frightened [PERIOD]
hypocritical [IMPLY] curious [PERIOD]
hypocritical [AND] talented [AND] curious [IMPLY] frightened [PERIOD]
curious [AND] unpleasant [IMPLY] frightened [PERIOD]
talented [AND] hypocritical [AND] frightened [IMPLY] unpleasant [PERIOD]
frightened [AND] curious [IMPLY] unpleasant [PERIOD]
hypocritical [AND] curious [AND] frightened [IMPLY] unpleasant [PERIOD]
hypocritical [IMPLY] talented [PERIOD]
talented [AND] frightened [AND] hypocritical [IMPLY] curious [PERIOD]
talented [IMPLY] hypocritical [PERIOD]
curious [IMPLY] talented [PERIOD]
frightened [AND] talented [AND] unpleasant [IMPLY] curious [PERIOD]
unpleasant [AND] curious [IMPLY] hypocritical [PERIOD]
frightened [AND] unpleasant [IMPLY] curious [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
   frightened ∧ unpleasant ⇒ curious
   curious ⇒ hypocritical
",1,2
"Facts: 
Rules:
versatile [IMPLY] fine [PERIOD]
fine [AND] crowded [AND] rational [IMPLY] horrible [PERIOD]
horrible [AND] versatile [AND] fine [IMPLY] rational [PERIOD]
fine [AND] crowded [IMPLY] rational [PERIOD]
crowded [IMPLY] rational [PERIOD]
fine [AND] versatile [IMPLY] crowded [PERIOD]
fine [AND] rational [AND] crowded [IMPLY] versatile [PERIOD]
horrible [AND] versatile [AND] crowded [IMPLY] fine [PERIOD]
fine [IMPLY] rational [PERIOD]
rational [AND] fine [AND] horrible [IMPLY] versatile [PERIOD]
rational [IMPLY] versatile [PERIOD]
horrible [AND] fine [IMPLY] crowded [PERIOD]
versatile [AND] horrible [IMPLY] crowded [PERIOD]
crowded [IMPLY] versatile [PERIOD]
fine [IMPLY] crowded [PERIOD]
rational [AND] versatile [IMPLY] horrible [PERIOD]
rational [AND] versatile [IMPLY] fine [PERIOD]
horrible [IMPLY] crowded [PERIOD]
fine [IMPLY] versatile [PERIOD]
versatile [AND] rational [AND] horrible [IMPLY] fine [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   Cannot apply rule “horrible ∧ versatile ∧ fine ⇒ rational” because missing: horrible, versatile, fine.
   Cannot apply rule “fine ∧ crowded ⇒ rational” because missing: fine, crowded.
   Cannot apply rule “crowded ⇒ rational” because missing: crowded.
   Cannot apply rule “fine ⇒ rational” because missing: fine.
",0,4
"Facts: 
Rules:
exuberant [AND] zealous [AND] stubborn [IMPLY] elegant [PERIOD]
stubborn [AND] zealous [IMPLY] elegant [PERIOD]
easy [AND] elegant [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] exuberant [PERIOD]
easy [IMPLY] exuberant [PERIOD]
stubborn [AND] elegant [AND] frantic [IMPLY] zealous [PERIOD]
frantic [IMPLY] zealous [PERIOD]
easy [AND] elegant [AND] frantic [IMPLY] stubborn [PERIOD]
frantic [AND] zealous [IMPLY] stubborn [PERIOD]
frantic [IMPLY] stubborn [PERIOD]
stubborn [AND] elegant [AND] exuberant [IMPLY] frantic [PERIOD]
easy [AND] zealous [AND] stubborn [IMPLY] elegant [PERIOD]
zealous [IMPLY] elegant [PERIOD]
zealous [IMPLY] frantic [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “stubborn ∧ elegant ∧ exuberant ⇒ frantic” because missing: stubborn, elegant, exuberant.
   Cannot apply rule “zealous ⇒ frantic” because missing: zealous.
",0,2
"Facts:  Alice is naughty [PERIOD] Alice is enchanting [PERIOD]
Rules:
popular [IMPLY] spotless [PERIOD]
difficult [IMPLY] fine [PERIOD]
excited [AND] stormy [IMPLY] talkative [PERIOD]
tired [IMPLY] popular [PERIOD]
excited [AND] scared [IMPLY] stubborn [PERIOD]
grumpy [IMPLY] long [PERIOD]
fearless [AND] clumsy [IMPLY] popular [PERIOD]
popular [AND] scared [IMPLY] impartial [PERIOD]
outstanding [AND] spotless [AND] tired [IMPLY] stormy [PERIOD]
fearless [AND] popular [IMPLY] stubborn [PERIOD]
blushing [AND] excited [AND] careless [IMPLY] fine [PERIOD]
spotless [IMPLY] careless [PERIOD]
impartial [AND] popular [IMPLY] ambitious [PERIOD]
fine [AND] impartial [AND] fearless [IMPLY] naughty [PERIOD]
fearless [AND] long [AND] clumsy [IMPLY] naughty [PERIOD]
ambitious [AND] blushing [AND] popular [IMPLY] clumsy [PERIOD]
fine [AND] broad-minded [AND] difficult [IMPLY] fearless [PERIOD]
fearless [AND] careless [IMPLY] hypocritical [PERIOD]
broad-minded [AND] enchanting [IMPLY] excited [PERIOD]
long [IMPLY] fearless [PERIOD]
careless [IMPLY] naughty [PERIOD]
stubborn [AND] stormy [AND] talkative [IMPLY] long [PERIOD]
long [AND] naughty [AND] outstanding [IMPLY] grumpy [PERIOD]
talkative [AND] blushing [IMPLY] scared [PERIOD]
blushing [AND] fine [IMPLY] clumsy [PERIOD]
careless [AND] fearless [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] scared [PERIOD]
long [AND] stormy [AND] grumpy [IMPLY] hypocritical [PERIOD]
long [AND] fine [AND] hypocritical [IMPLY] confused [PERIOD]
careless [IMPLY] blushing [PERIOD]
difficult [AND] long [IMPLY] stubborn [PERIOD]
confused [IMPLY] talkative [PERIOD]
talkative [AND] blushing [IMPLY] excited [PERIOD]
difficult [AND] mysterious [AND] fine [IMPLY] blushing [PERIOD]
spotless [AND] blushing [AND] stormy [IMPLY] broad-minded [PERIOD]
outstanding [AND] careless [IMPLY] hypocritical [PERIOD]
careless [AND] naughty [AND] fearless [IMPLY] stormy [PERIOD]
difficult [IMPLY] tired [PERIOD]
broad-minded [AND] tired [IMPLY] popular [PERIOD]
talkative [AND] fine [IMPLY] long [PERIOD]
blushing [IMPLY] talkative [PERIOD]
talkative [AND] outstanding [AND] careless [IMPLY] stormy [PERIOD]
broad-minded [IMPLY] stormy [PERIOD]
long [AND] tired [IMPLY] confused [PERIOD]
mysterious [IMPLY] fine [PERIOD]
stormy [AND] careless [AND] outstanding [IMPLY] fearless [PERIOD]
scared [IMPLY] hypocritical [PERIOD]
clumsy [AND] enchanting [IMPLY] stormy [PERIOD]
ambitious [IMPLY] enchanting [PERIOD]
outstanding [IMPLY] confused [PERIOD]
stormy [AND] blushing [AND] ambitious [IMPLY] talkative [PERIOD]
ambitious [AND] blushing [IMPLY] stubborn [PERIOD]
scared [AND] impartial [AND] ambitious [IMPLY] stormy [PERIOD]
tired [AND] talkative [AND] stormy [IMPLY] fine [PERIOD]
hypocritical [AND] mysterious [AND] spotless [IMPLY] long [PERIOD]
fearless [AND] grumpy [AND] stubborn [IMPLY] impartial [PERIOD]
broad-minded [IMPLY] careless [PERIOD]
difficult [AND] confused [IMPLY] popular [PERIOD]
spotless [IMPLY] enchanting [PERIOD]
mysterious [IMPLY] clumsy [PERIOD]
fine [AND] careless [AND] broad-minded [IMPLY] tired [PERIOD]
mysterious [IMPLY] outstanding [PERIOD]
naughty [AND] blushing [AND] outstanding [IMPLY] tired [PERIOD]
talkative [AND] excited [IMPLY] stubborn [PERIOD]
talkative [AND] stubborn [AND] outstanding [IMPLY] confused [PERIOD]
blushing [IMPLY] impartial [PERIOD]
difficult [AND] stormy [IMPLY] impartial [PERIOD]
popular [IMPLY] mysterious [PERIOD]
spotless [AND] blushing [AND] outstanding [IMPLY] tired [PERIOD]
confused [AND] ambitious [IMPLY] fine [PERIOD]
naughty [IMPLY] ambitious [PERIOD]
fearless [AND] excited [IMPLY] outstanding [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   Cannot apply rule “long ∧ fine ∧ hypocritical ⇒ confused” because missing: long, fine, hypocritical.
   Cannot apply rule “long ∧ tired ⇒ confused” because missing: long, tired.
   Cannot apply rule “outstanding ⇒ confused” because missing: outstanding.
   Cannot apply rule “talkative ∧ stubborn ∧ outstanding ⇒ confused” because missing: talkative, stubborn, outstanding.
",0,4
"Facts: 
Rules:
reserved [AND] stupid [IMPLY] famous [PERIOD]
wide-eyed [AND] broad-minded [AND] confident [IMPLY] sincere [PERIOD]
rude [AND] tame [IMPLY] hilarious [PERIOD]
famous [IMPLY] dishonest [PERIOD]
different [AND] intellectual [AND] hypocritical [IMPLY] dishonest [PERIOD]
hypocritical [AND] different [IMPLY] reserved [PERIOD]
tame [IMPLY] cruel [PERIOD]
dishonest [IMPLY] hilarious [PERIOD]
plain [IMPLY] bossy [PERIOD]
plain [IMPLY] hilarious [PERIOD]
tame [AND] famous [IMPLY] stupid [PERIOD]
hilarious [IMPLY] intellectual [PERIOD]
different [AND] plain [IMPLY] confident [PERIOD]
intellectual [IMPLY] different [PERIOD]
confident [IMPLY] dishonest [PERIOD]
famous [AND] cruel [IMPLY] different [PERIOD]
different [AND] rude [AND] bossy [IMPLY] plain [PERIOD]
reserved [AND] hilarious [AND] different [IMPLY] hypocritical [PERIOD]
sincere [IMPLY] wide-eyed [PERIOD]
rude [AND] dishonest [IMPLY] confident [PERIOD]
dishonest [IMPLY] rude [PERIOD]
tame [AND] wide-eyed [IMPLY] cruel [PERIOD]
hypocritical [AND] reserved [IMPLY] hilarious [PERIOD]
bossy [AND] tame [AND] hypocritical [IMPLY] intellectual [PERIOD]
intellectual [AND] dishonest [IMPLY] rude [PERIOD]
dishonest [IMPLY] cruel [PERIOD]
stupid [IMPLY] sincere [PERIOD]
hypocritical [IMPLY] cruel [PERIOD]
sincere [AND] famous [AND] tame [IMPLY] reserved [PERIOD]
famous [AND] dishonest [IMPLY] hypocritical [PERIOD]
tame [AND] sincere [AND] bossy [IMPLY] stupid [PERIOD]
intellectual [AND] reserved [IMPLY] different [PERIOD]
tame [IMPLY] intellectual [PERIOD]
reserved [AND] bossy [AND] stupid [IMPLY] dishonest [PERIOD]
plain [AND] sincere [AND] rude [IMPLY] hypocritical [PERIOD]
hilarious [IMPLY] wide-eyed [PERIOD]
long [AND] tame [IMPLY] rude [PERIOD]
broad-minded [AND] plain [IMPLY] stupid [PERIOD]
broad-minded [AND] stupid [AND] intellectual [IMPLY] hypocritical [PERIOD]
intellectual [AND] hilarious [AND] different [IMPLY] long [PERIOD]
hypocritical [AND] broad-minded [IMPLY] tame [PERIOD]
hilarious [AND] different [IMPLY] dishonest [PERIOD]
long [AND] famous [AND] confident [IMPLY] sincere [PERIOD]
rude [AND] tame [AND] hilarious [IMPLY] famous [PERIOD]
bossy [IMPLY] dishonest [PERIOD]
hypocritical [AND] intellectual [IMPLY] sincere [PERIOD]
wide-eyed [AND] intellectual [IMPLY] long [PERIOD]
plain [AND] hypocritical [AND] reserved [IMPLY] hilarious [PERIOD]
intellectual [IMPLY] long [PERIOD]
famous [IMPLY] bossy [PERIOD]
cruel [AND] reserved [AND] broad-minded [IMPLY] hypocritical [PERIOD]
dishonest [AND] intellectual [IMPLY] plain [PERIOD]
hypocritical [IMPLY] broad-minded [PERIOD]
dishonest [IMPLY] confident [PERIOD]
intellectual [AND] wide-eyed [IMPLY] dishonest [PERIOD]
plain [IMPLY] cruel [PERIOD]
hilarious [AND] long [AND] bossy [IMPLY] broad-minded [PERIOD]
tame [AND] reserved [IMPLY] cruel [PERIOD]
famous [AND] reserved [IMPLY] stupid [PERIOD]
bossy [AND] wide-eyed [IMPLY] intellectual [PERIOD]
wide-eyed [AND] famous [IMPLY] hypocritical [PERIOD]
reserved [IMPLY] hilarious [PERIOD]
dishonest [AND] rude [AND] hypocritical [IMPLY] stupid [PERIOD]
rude [AND] dishonest [AND] hypocritical [IMPLY] broad-minded [PERIOD]
hilarious [AND] dishonest [AND] reserved [IMPLY] different [PERIOD]
hypocritical [AND] cruel [IMPLY] long [PERIOD]
famous [AND] plain [IMPLY] confident [PERIOD]
stupid [AND] long [AND] hypocritical [IMPLY] cruel [PERIOD]
different [AND] hypocritical [IMPLY] tame [PERIOD]
rude [IMPLY] confident [PERIOD]
reserved [AND] long [IMPLY] stupid [PERIOD]
wide-eyed [AND] plain [IMPLY] stupid [PERIOD]
Query: Alice is cruel [PERIOD]","Proof chain:
   Cannot apply rule “tame ⇒ cruel” because missing: tame.
   Cannot apply rule “tame ∧ wide-eyed ⇒ cruel” because missing: tame, wide-eyed.
   Cannot apply rule “dishonest ⇒ cruel” because missing: dishonest.
   Cannot apply rule “hypocritical ⇒ cruel” because missing: hypocritical.
   Cannot apply rule “plain ⇒ cruel” because missing: plain.
   Cannot apply rule “tame ∧ reserved ⇒ cruel” because missing: tame, reserved.
   Cannot apply rule “stupid ∧ long ∧ hypocritical ⇒ cruel” because missing: stupid, long, hypocritical.
",0,7
"Facts:  Alice is hilarious [PERIOD] Alice is blushing [PERIOD] Alice is jittery [PERIOD] Alice is stubborn [PERIOD]
Rules:
muddy [IMPLY] shiny [PERIOD]
shiny [AND] modern [IMPLY] jittery [PERIOD]
jittery [IMPLY] anxious [PERIOD]
ugly [AND] outstanding [IMPLY] anxious [PERIOD]
clean [IMPLY] modern [PERIOD]
tame [AND] frail [AND] disobedient [IMPLY] clean [PERIOD]
outstanding [AND] cute [IMPLY] tame [PERIOD]
anxious [IMPLY] hilarious [PERIOD]
hilarious [AND] ugliest [IMPLY] nervous [PERIOD]
disobedient [AND] anxious [IMPLY] muddy [PERIOD]
nervous [IMPLY] shiny [PERIOD]
innocent [AND] shiny [AND] clean [IMPLY] nervous [PERIOD]
anxious [AND] nervous [IMPLY] cute [PERIOD]
jittery [AND] hilarious [AND] tender [IMPLY] ugly [PERIOD]
ugly [AND] blushing [IMPLY] disobedient [PERIOD]
jittery [AND] shiny [IMPLY] muddy [PERIOD]
blushing [IMPLY] disobedient [PERIOD]
stubborn [IMPLY] disobedient [PERIOD]
anxious [AND] innocent [IMPLY] clean [PERIOD]
tame [IMPLY] muddy [PERIOD]
hilarious [IMPLY] tame [PERIOD]
inquisitive [IMPLY] nervous [PERIOD]
muddy [IMPLY] frail [PERIOD]
nervous [AND] ugliest [AND] stupid [IMPLY] anxious [PERIOD]
tender [AND] versatile [AND] perfect [IMPLY] modern [PERIOD]
inquisitive [IMPLY] clean [PERIOD]
outstanding [AND] hilarious [AND] embarrassed [IMPLY] stupid [PERIOD]
hilarious [AND] anxious [AND] tame [IMPLY] modern [PERIOD]
shiny [AND] embarrassed [AND] blushing [IMPLY] versatile [PERIOD]
muddy [AND] disobedient [IMPLY] versatile [PERIOD]
anxious [AND] perfect [IMPLY] hilarious [PERIOD]
shiny [IMPLY] cute [PERIOD]
anxious [AND] hilarious [AND] outstanding [IMPLY] nervous [PERIOD]
disobedient [AND] ugly [IMPLY] stubborn [PERIOD]
blushing [AND] tame [AND] embarrassed [IMPLY] nervous [PERIOD]
modern [AND] versatile [AND] innocent [IMPLY] ugly [PERIOD]
nervous [AND] outstanding [AND] embarrassed [IMPLY] tender [PERIOD]
shiny [AND] hilarious [IMPLY] clean [PERIOD]
muddy [IMPLY] perfect [PERIOD]
inquisitive [AND] hilarious [AND] jittery [IMPLY] embarrassed [PERIOD]
ugliest [AND] jittery [IMPLY] nervous [PERIOD]
tender [AND] hilarious [AND] ugliest [IMPLY] versatile [PERIOD]
frail [IMPLY] anxious [PERIOD]
stupid [AND] stubborn [IMPLY] ugly [PERIOD]
ugliest [AND] versatile [AND] innocent [IMPLY] nervous [PERIOD]
hilarious [AND] modern [AND] clean [IMPLY] stupid [PERIOD]
tender [AND] outstanding [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] stupid [PERIOD]
muddy [IMPLY] inquisitive [PERIOD]
embarrassed [AND] ugly [IMPLY] hilarious [PERIOD]
disobedient [AND] nervous [IMPLY] perfect [PERIOD]
disobedient [AND] hilarious [IMPLY] versatile [PERIOD]
outstanding [AND] inquisitive [AND] disobedient [IMPLY] muddy [PERIOD]
inquisitive [AND] ugliest [AND] outstanding [IMPLY] embarrassed [PERIOD]
modern [AND] nervous [IMPLY] jittery [PERIOD]
anxious [AND] tame [AND] muddy [IMPLY] blushing [PERIOD]
embarrassed [AND] shiny [IMPLY] perfect [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   blushing ⇒ disobedient
   jittery ⇒ anxious
   disobedient ∧ anxious ⇒ muddy
   muddy ⇒ frail
",1,4
"Facts:  Alice is clumsy [PERIOD]
Rules:
supportive [AND] charming [IMPLY] plain [PERIOD]
charming [IMPLY] plain [PERIOD]
supportive [AND] frail [AND] clumsy [IMPLY] charming [PERIOD]
plain [IMPLY] charming [PERIOD]
careless [IMPLY] plain [PERIOD]
plain [AND] charming [AND] careless [IMPLY] clumsy [PERIOD]
frail [AND] supportive [AND] plain [IMPLY] careless [PERIOD]
supportive [AND] charming [IMPLY] careless [PERIOD]
clumsy [AND] charming [AND] frail [IMPLY] supportive [PERIOD]
clumsy [AND] charming [IMPLY] careless [PERIOD]
clumsy [AND] frail [IMPLY] supportive [PERIOD]
charming [IMPLY] frail [PERIOD]
clumsy [IMPLY] frail [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   clumsy ⇒ frail
   clumsy ∧ frail ⇒ supportive
   clumsy ⇒ frail
   clumsy ∧ frail ⇒ supportive
   clumsy ⇒ frail
   supportive ∧ frail ∧ clumsy ⇒ charming
   supportive ∧ charming ⇒ careless
",1,7
"Facts: 
Rules:
tame [IMPLY] curious [PERIOD]
hilarious [AND] outrageous [IMPLY] dull [PERIOD]
clumsy [AND] anxious [AND] elegant [IMPLY] tame [PERIOD]
pleasant [IMPLY] outrageous [PERIOD]
precious [AND] shy [AND] clumsy [IMPLY] anxious [PERIOD]
straightforward [AND] tame [AND] bad-tempered [IMPLY] elegant [PERIOD]
clumsy [AND] pleasant [IMPLY] hilarious [PERIOD]
curious [AND] ambitious [IMPLY] precious [PERIOD]
elegant [IMPLY] precious [PERIOD]
anxious [AND] elegant [IMPLY] bossy [PERIOD]
bossy [IMPLY] pleasant [PERIOD]
ambitious [AND] elegant [AND] straightforward [IMPLY] curious [PERIOD]
anxious [AND] hilarious [AND] bad-tempered [IMPLY] precious [PERIOD]
tame [IMPLY] anxious [PERIOD]
bossy [IMPLY] tame [PERIOD]
hilarious [AND] straightforward [AND] different [IMPLY] clumsy [PERIOD]
outrageous [IMPLY] shy [PERIOD]
pleasant [IMPLY] ambitious [PERIOD]
straightforward [IMPLY] curious [PERIOD]
anxious [AND] curious [IMPLY] dull [PERIOD]
bad-tempered [AND] precious [IMPLY] elegant [PERIOD]
tame [AND] beautiful [IMPLY] different [PERIOD]
different [IMPLY] pleasant [PERIOD]
straightforward [AND] shy [IMPLY] dull [PERIOD]
ambitious [AND] beautiful [AND] clumsy [IMPLY] anxious [PERIOD]
different [AND] bad-tempered [AND] dull [IMPLY] precious [PERIOD]
anxious [AND] pleasant [IMPLY] outrageous [PERIOD]
tame [IMPLY] pleasant [PERIOD]
precious [AND] different [AND] pleasant [IMPLY] straightforward [PERIOD]
dull [IMPLY] pleasant [PERIOD]
anxious [AND] pleasant [IMPLY] clumsy [PERIOD]
precious [AND] shy [AND] dull [IMPLY] outrageous [PERIOD]
beautiful [AND] hilarious [IMPLY] elegant [PERIOD]
outrageous [AND] dull [IMPLY] bad-tempered [PERIOD]
clumsy [AND] straightforward [IMPLY] bossy [PERIOD]
curious [AND] clumsy [AND] dull [IMPLY] bossy [PERIOD]
beautiful [AND] straightforward [AND] bad-tempered [IMPLY] curious [PERIOD]
dull [AND] beautiful [IMPLY] different [PERIOD]
ambitious [AND] bossy [IMPLY] different [PERIOD]
beautiful [AND] bossy [IMPLY] straightforward [PERIOD]
outrageous [AND] curious [IMPLY] shy [PERIOD]
clumsy [AND] dull [IMPLY] beautiful [PERIOD]
outrageous [AND] clumsy [AND] anxious [IMPLY] bossy [PERIOD]
shy [AND] beautiful [IMPLY] curious [PERIOD]
bad-tempered [AND] pleasant [IMPLY] straightforward [PERIOD]
hilarious [IMPLY] elegant [PERIOD]
elegant [AND] ambitious [IMPLY] bad-tempered [PERIOD]
tame [IMPLY] bossy [PERIOD]
precious [AND] bossy [AND] clumsy [IMPLY] bad-tempered [PERIOD]
precious [AND] clumsy [AND] pleasant [IMPLY] outrageous [PERIOD]
clumsy [IMPLY] curious [PERIOD]
beautiful [AND] shy [AND] hilarious [IMPLY] outrageous [PERIOD]
dull [AND] shy [IMPLY] precious [PERIOD]
beautiful [IMPLY] ambitious [PERIOD]
anxious [AND] bad-tempered [AND] hilarious [IMPLY] elegant [PERIOD]
ambitious [IMPLY] anxious [PERIOD]
anxious [AND] bossy [IMPLY] tame [PERIOD]
tame [AND] ambitious [AND] dull [IMPLY] hilarious [PERIOD]
pleasant [AND] shy [IMPLY] bossy [PERIOD]
anxious [IMPLY] dull [PERIOD]
precious [AND] ambitious [AND] shy [IMPLY] curious [PERIOD]
elegant [AND] pleasant [AND] anxious [IMPLY] dull [PERIOD]
dull [AND] tame [AND] anxious [IMPLY] outrageous [PERIOD]
shy [IMPLY] elegant [PERIOD]
hilarious [AND] curious [AND] shy [IMPLY] elegant [PERIOD]
bad-tempered [IMPLY] different [PERIOD]
bossy [AND] precious [AND] dull [IMPLY] straightforward [PERIOD]
dull [IMPLY] clumsy [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   Cannot apply rule “straightforward ∧ tame ∧ bad-tempered ⇒ elegant” because missing: straightforward, tame, bad-tempered.
   Cannot apply rule “bad-tempered ∧ precious ⇒ elegant” because missing: bad-tempered, precious.
   Cannot apply rule “beautiful ∧ hilarious ⇒ elegant” because missing: beautiful, hilarious.
   Cannot apply rule “hilarious ⇒ elegant” because missing: hilarious.
   Cannot apply rule “anxious ∧ bad-tempered ∧ hilarious ⇒ elegant” because missing: anxious, bad-tempered, hilarious.
   Cannot apply rule “shy ⇒ elegant” because missing: shy.
   Cannot apply rule “hilarious ∧ curious ∧ shy ⇒ elegant” because missing: hilarious, curious, shy.
",0,7
"Facts:  Alice is intellectual [PERIOD] Alice is inexpensive [PERIOD] Alice is lonely [PERIOD] Alice is old-fashioned [PERIOD] Alice is careless [PERIOD]
Rules:
inexpensive [IMPLY] lonely [PERIOD]
sensible [AND] intellectual [AND] careless [IMPLY] friendly [PERIOD]
careless [AND] worried [IMPLY] clean [PERIOD]
dishonest [AND] intellectual [IMPLY] precious [PERIOD]
helpful [AND] disobedient [AND] old-fashioned [IMPLY] bored [PERIOD]
bored [IMPLY] disobedient [PERIOD]
tired [AND] worried [IMPLY] helpful [PERIOD]
adorable [AND] lonely [IMPLY] combative [PERIOD]
disobedient [AND] combative [AND] intellectual [IMPLY] dishonest [PERIOD]
bored [AND] disobedient [AND] dishonest [IMPLY] inexpensive [PERIOD]
tired [IMPLY] combative [PERIOD]
precious [AND] careless [AND] worried [IMPLY] intellectual [PERIOD]
tired [AND] helpful [AND] lonely [IMPLY] precious [PERIOD]
intellectual [AND] disobedient [AND] lonely [IMPLY] worried [PERIOD]
combative [AND] clean [AND] careless [IMPLY] quaint [PERIOD]
clean [AND] dishonest [AND] disobedient [IMPLY] helpful [PERIOD]
intellectual [AND] inexpensive [AND] worried [IMPLY] friendly [PERIOD]
intellectual [IMPLY] old-fashioned [PERIOD]
combative [AND] worried [AND] careless [IMPLY] precious [PERIOD]
dishonest [AND] bored [AND] disobedient [IMPLY] helpful [PERIOD]
old-fashioned [IMPLY] worried [PERIOD]
sensible [AND] adorable [IMPLY] intellectual [PERIOD]
combative [IMPLY] friendly [PERIOD]
careless [AND] old-fashioned [IMPLY] friendly [PERIOD]
dishonest [AND] old-fashioned [AND] friendly [IMPLY] sensible [PERIOD]
adorable [AND] sensible [AND] tired [IMPLY] helpful [PERIOD]
clean [AND] friendly [IMPLY] quaint [PERIOD]
worried [AND] careless [IMPLY] disobedient [PERIOD]
inexpensive [IMPLY] precious [PERIOD]
dishonest [AND] lonely [IMPLY] disobedient [PERIOD]
old-fashioned [AND] worried [AND] helpful [IMPLY] sensible [PERIOD]
intellectual [IMPLY] adorable [PERIOD]
helpful [IMPLY] quaint [PERIOD]
quaint [AND] combative [AND] disobedient [IMPLY] old-fashioned [PERIOD]
bored [IMPLY] precious [PERIOD]
clean [AND] lonely [IMPLY] inexpensive [PERIOD]
precious [IMPLY] friendly [PERIOD]
adorable [IMPLY] intellectual [PERIOD]
combative [IMPLY] dishonest [PERIOD]
helpful [AND] lonely [IMPLY] worried [PERIOD]
helpful [AND] worried [AND] combative [IMPLY] clean [PERIOD]
helpful [AND] lonely [IMPLY] careless [PERIOD]
quaint [AND] helpful [AND] combative [IMPLY] friendly [PERIOD]
intellectual [IMPLY] precious [PERIOD]
combative [AND] helpful [AND] careless [IMPLY] precious [PERIOD]
lonely [IMPLY] tired [PERIOD]
quaint [IMPLY] friendly [PERIOD]
helpful [AND] clean [AND] bored [IMPLY] worried [PERIOD]
adorable [AND] helpful [AND] dishonest [IMPLY] old-fashioned [PERIOD]
careless [AND] intellectual [AND] clean [IMPLY] precious [PERIOD]
sensible [IMPLY] lonely [PERIOD]
inexpensive [IMPLY] worried [PERIOD]
inexpensive [AND] careless [AND] helpful [IMPLY] disobedient [PERIOD]
sensible [AND] lonely [AND] tired [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] worried [IMPLY] precious [PERIOD]
bored [IMPLY] inexpensive [PERIOD]
intellectual [IMPLY] quaint [PERIOD]
quaint [IMPLY] helpful [PERIOD]
old-fashioned [IMPLY] intellectual [PERIOD]
helpful [AND] adorable [IMPLY] friendly [PERIOD]
sensible [AND] precious [IMPLY] inexpensive [PERIOD]
helpful [AND] inexpensive [AND] worried [IMPLY] disobedient [PERIOD]
friendly [IMPLY] clean [PERIOD]
careless [AND] lonely [AND] bored [IMPLY] tired [PERIOD]
careless [IMPLY] dishonest [PERIOD]
dishonest [AND] inexpensive [IMPLY] old-fashioned [PERIOD]
dishonest [AND] inexpensive [IMPLY] intellectual [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   careless ⇒ dishonest
   careless ∧ old-fashioned ⇒ friendly
   dishonest ∧ old-fashioned ∧ friendly ⇒ sensible
",1,3
"Facts:  Alice is bad-tempered [PERIOD] Alice is rude [PERIOD] Alice is weary [PERIOD] Alice is serious [PERIOD]
Rules:
condemned [IMPLY] straightforward [PERIOD]
bad-tempered [AND] weary [IMPLY] straightforward [PERIOD]
pessimistic [IMPLY] adorable [PERIOD]
frantic [AND] pessimistic [IMPLY] uptight [PERIOD]
condemned [IMPLY] serious [PERIOD]
good [IMPLY] unpleasant [PERIOD]
comfortable [IMPLY] adorable [PERIOD]
unpleasant [AND] rude [AND] pessimistic [IMPLY] disgusted [PERIOD]
rude [AND] bad-tempered [AND] ugliest [IMPLY] good [PERIOD]
ugliest [AND] elated [AND] fine [IMPLY] aggressive [PERIOD]
adorable [IMPLY] pessimistic [PERIOD]
elated [IMPLY] lucky [PERIOD]
aggressive [AND] broad-minded [IMPLY] adorable [PERIOD]
busy [AND] helpless [IMPLY] frantic [PERIOD]
elated [AND] condemned [IMPLY] adorable [PERIOD]
long [AND] adorable [IMPLY] uptight [PERIOD]
broad-minded [IMPLY] serious [PERIOD]
broad-minded [AND] aggressive [AND] busy [IMPLY] rude [PERIOD]
elated [AND] straightforward [IMPLY] lucky [PERIOD]
pleasant [IMPLY] helpless [PERIOD]
rude [AND] elated [AND] uptight [IMPLY] impartial [PERIOD]
broad-minded [AND] straightforward [IMPLY] busy [PERIOD]
uptight [AND] unpleasant [IMPLY] pleasant [PERIOD]
straightforward [IMPLY] aggressive [PERIOD]
lucky [AND] fine [AND] rude [IMPLY] long [PERIOD]
aggressive [AND] serious [AND] frantic [IMPLY] comfortable [PERIOD]
bad-tempered [AND] bright [AND] long [IMPLY] pleasant [PERIOD]
bad-tempered [IMPLY] bright [PERIOD]
comfortable [IMPLY] pleasant [PERIOD]
adorable [IMPLY] long [PERIOD]
pessimistic [AND] impartial [AND] helpless [IMPLY] busy [PERIOD]
bad-tempered [AND] uptight [IMPLY] condemned [PERIOD]
comfortable [IMPLY] serious [PERIOD]
uptight [IMPLY] good [PERIOD]
ugliest [AND] weary [IMPLY] lucky [PERIOD]
condemned [AND] weary [AND] disgusted [IMPLY] pessimistic [PERIOD]
comfortable [AND] condemned [IMPLY] weary [PERIOD]
comfortable [IMPLY] long [PERIOD]
helpless [IMPLY] uptight [PERIOD]
serious [IMPLY] disgusted [PERIOD]
disgusted [AND] elated [AND] long [IMPLY] comfortable [PERIOD]
disgusted [AND] serious [IMPLY] broad-minded [PERIOD]
unpleasant [AND] ugliest [IMPLY] long [PERIOD]
aggressive [AND] rude [AND] frantic [IMPLY] broad-minded [PERIOD]
adorable [IMPLY] serious [PERIOD]
condemned [AND] busy [IMPLY] long [PERIOD]
long [IMPLY] busy [PERIOD]
comfortable [AND] adorable [AND] rude [IMPLY] aggressive [PERIOD]
busy [AND] condemned [IMPLY] helpless [PERIOD]
bright [AND] uptight [IMPLY] rude [PERIOD]
unpleasant [AND] aggressive [AND] elated [IMPLY] disgusted [PERIOD]
serious [AND] bright [IMPLY] pessimistic [PERIOD]
busy [IMPLY] long [PERIOD]
pleasant [AND] straightforward [IMPLY] uptight [PERIOD]
elated [IMPLY] fine [PERIOD]
elated [AND] unpleasant [AND] weary [IMPLY] bad-tempered [PERIOD]
condemned [AND] adorable [IMPLY] good [PERIOD]
fine [AND] impartial [IMPLY] weary [PERIOD]
frantic [AND] disgusted [IMPLY] rude [PERIOD]
helpless [AND] rude [AND] broad-minded [IMPLY] disgusted [PERIOD]
helpless [IMPLY] adorable [PERIOD]
lucky [AND] elated [AND] condemned [IMPLY] weary [PERIOD]
aggressive [AND] weary [IMPLY] frantic [PERIOD]
comfortable [IMPLY] bad-tempered [PERIOD]
condemned [IMPLY] fine [PERIOD]
bad-tempered [AND] disgusted [AND] aggressive [IMPLY] bright [PERIOD]
helpless [AND] rude [IMPLY] broad-minded [PERIOD]
disgusted [IMPLY] elated [PERIOD]
helpless [AND] comfortable [IMPLY] broad-minded [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   serious ⇒ disgusted
   disgusted ⇒ elated
   elated ⇒ lucky
",1,3
"Facts:  Alice is powerful [PERIOD] Alice is reserved [PERIOD] Alice is diplomatic [PERIOD] Alice is crowded [PERIOD] Alice is fancy [PERIOD] Alice is victorious [PERIOD] Alice is zealous [PERIOD] Alice is helpful [PERIOD] Alice is popular [PERIOD] Alice is grumpy [PERIOD] Alice is average [PERIOD] Alice is gleaming [PERIOD] Alice is hypocritical [PERIOD] Alice is modern [PERIOD] Alice is stormy [PERIOD] Alice is comfortable [PERIOD] Alice is spotless [PERIOD] Alice is rude [PERIOD] Alice is worried [PERIOD] Alice is silly [PERIOD] Alice is calm [PERIOD] Alice is blushing [PERIOD]
Rules:
grumpy [IMPLY] gleaming [PERIOD]
diplomatic [AND] hypocritical [AND] wide-eyed [IMPLY] modern [PERIOD]
gifted [AND] powerful [AND] modern [IMPLY] inquisitive [PERIOD]
wide-eyed [IMPLY] fancy [PERIOD]
hypocritical [AND] victorious [IMPLY] worried [PERIOD]
popular [AND] victorious [AND] spotless [IMPLY] blushing [PERIOD]
amused [AND] blushing [IMPLY] distinct [PERIOD]
average [IMPLY] grumpy [PERIOD]
powerful [AND] amused [AND] wide-eyed [IMPLY] rude [PERIOD]
modern [AND] popular [IMPLY] blushing [PERIOD]
popular [AND] distinct [AND] gleaming [IMPLY] silly [PERIOD]
stormy [AND] gifted [IMPLY] reserved [PERIOD]
comfortable [IMPLY] blushing [PERIOD]
wide-eyed [AND] blushing [IMPLY] amused [PERIOD]
amused [AND] popular [AND] crowded [IMPLY] worried [PERIOD]
rude [AND] fancy [IMPLY] smart [PERIOD]
victorious [AND] diplomatic [AND] rude [IMPLY] grumpy [PERIOD]
average [AND] blushing [AND] helpful [IMPLY] stormy [PERIOD]
grumpy [AND] rude [IMPLY] powerful [PERIOD]
rude [IMPLY] fancy [PERIOD]
glamorous [AND] modern [IMPLY] victorious [PERIOD]
powerful [AND] rude [AND] comfortable [IMPLY] calm [PERIOD]
comfortable [AND] popular [AND] smart [IMPLY] amused [PERIOD]
grumpy [AND] worried [IMPLY] glamorous [PERIOD]
helpful [AND] average [IMPLY] reserved [PERIOD]
gleaming [IMPLY] victorious [PERIOD]
distinct [IMPLY] calm [PERIOD]
smart [IMPLY] silly [PERIOD]
glamorous [AND] fancy [AND] curious [IMPLY] gifted [PERIOD]
zealous [AND] stormy [IMPLY] wide-eyed [PERIOD]
curious [AND] gleaming [IMPLY] silly [PERIOD]
diplomatic [AND] inquisitive [AND] gifted [IMPLY] smart [PERIOD]
calm [AND] amused [IMPLY] powerful [PERIOD]
rude [IMPLY] curious [PERIOD]
calm [IMPLY] fancy [PERIOD]
reserved [AND] zealous [AND] fancy [IMPLY] average [PERIOD]
rude [AND] blushing [AND] comfortable [IMPLY] stormy [PERIOD]
powerful [IMPLY] stormy [PERIOD]
modern [AND] distinct [AND] calm [IMPLY] wide-eyed [PERIOD]
gleaming [IMPLY] reserved [PERIOD]
silly [AND] popular [AND] distinct [IMPLY] average [PERIOD]
rude [AND] distinct [IMPLY] diplomatic [PERIOD]
stormy [AND] diplomatic [IMPLY] silly [PERIOD]
blushing [AND] spotless [IMPLY] powerful [PERIOD]
crowded [AND] modern [IMPLY] amused [PERIOD]
inquisitive [AND] powerful [AND] curious [IMPLY] rude [PERIOD]
worried [AND] calm [IMPLY] gleaming [PERIOD]
victorious [AND] gleaming [AND] amused [IMPLY] stormy [PERIOD]
helpful [AND] stormy [IMPLY] hypocritical [PERIOD]
victorious [AND] silly [AND] fancy [IMPLY] gifted [PERIOD]
curious [AND] modern [IMPLY] crowded [PERIOD]
calm [AND] curious [AND] fancy [IMPLY] spotless [PERIOD]
curious [IMPLY] inquisitive [PERIOD]
grumpy [IMPLY] fancy [PERIOD]
fancy [IMPLY] wide-eyed [PERIOD]
zealous [AND] hypocritical [AND] gleaming [IMPLY] comfortable [PERIOD]
modern [IMPLY] distinct [PERIOD]
distinct [AND] grumpy [IMPLY] inquisitive [PERIOD]
rude [AND] gifted [IMPLY] amused [PERIOD]
rude [AND] worried [AND] average [IMPLY] reserved [PERIOD]
comfortable [AND] gifted [IMPLY] grumpy [PERIOD]
victorious [AND] zealous [IMPLY] helpful [PERIOD]
silly [AND] worried [AND] popular [IMPLY] victorious [PERIOD]
rude [AND] victorious [AND] modern [IMPLY] curious [PERIOD]
rude [AND] gifted [IMPLY] average [PERIOD]
calm [IMPLY] spotless [PERIOD]
powerful [IMPLY] rude [PERIOD]
wide-eyed [IMPLY] silly [PERIOD]
crowded [AND] spotless [AND] blushing [IMPLY] amused [PERIOD]
zealous [AND] rude [IMPLY] grumpy [PERIOD]
inquisitive [AND] helpful [AND] reserved [IMPLY] hypocritical [PERIOD]
distinct [IMPLY] inquisitive [PERIOD]
silly [AND] modern [AND] calm [IMPLY] amused [PERIOD]
smart [AND] silly [AND] blushing [IMPLY] powerful [PERIOD]
glamorous [IMPLY] diplomatic [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is cute [PERIOD]
Rules:
attractive [AND] frail [AND] versatile [IMPLY] bad-tempered [PERIOD]
reserved [IMPLY] glamorous [PERIOD]
horrible [IMPLY] confident [PERIOD]
rude [AND] bad-tempered [AND] silly [IMPLY] reserved [PERIOD]
attractive [IMPLY] old-fashioned [PERIOD]
horrible [AND] frail [IMPLY] silly [PERIOD]
frail [AND] confident [AND] glamorous [IMPLY] reserved [PERIOD]
confident [IMPLY] gorgeous [PERIOD]
glamorous [AND] silly [AND] horrible [IMPLY] frail [PERIOD]
horrible [AND] uptight [IMPLY] glamorous [PERIOD]
confident [IMPLY] silly [PERIOD]
versatile [AND] reserved [AND] attractive [IMPLY] bad-tempered [PERIOD]
horrible [IMPLY] glamorous [PERIOD]
attractive [IMPLY] versatile [PERIOD]
uptight [IMPLY] rude [PERIOD]
gorgeous [AND] frail [AND] attractive [IMPLY] versatile [PERIOD]
reserved [AND] glamorous [IMPLY] frail [PERIOD]
uptight [AND] bad-tempered [IMPLY] gorgeous [PERIOD]
Query: Alice is versatile [PERIOD]","Proof chain:
   Cannot apply rule “attractive ⇒ versatile” because missing: attractive.
   Cannot apply rule “gorgeous ∧ frail ∧ attractive ⇒ versatile” because missing: gorgeous, frail, attractive.
",0,2
"Facts:  Alice is victorious [PERIOD] Alice is innocent [PERIOD] Alice is hypocritical [PERIOD] Alice is messy [PERIOD] Alice is cruel [PERIOD]
Rules:
hypocritical [AND] confident [IMPLY] frantic [PERIOD]
messy [AND] cruel [IMPLY] inexpensive [PERIOD]
cruel [AND] frantic [AND] messy [IMPLY] victorious [PERIOD]
foolish [AND] innocent [IMPLY] horrible [PERIOD]
frantic [AND] talkative [AND] fearless [IMPLY] rational [PERIOD]
cruel [AND] foolish [IMPLY] victorious [PERIOD]
inexpensive [IMPLY] modern [PERIOD]
inexpensive [AND] fearless [IMPLY] victorious [PERIOD]
helpful [IMPLY] confident [PERIOD]
cruel [AND] innocent [IMPLY] messy [PERIOD]
victorious [AND] fearless [IMPLY] uptight [PERIOD]
horrible [IMPLY] rational [PERIOD]
rational [AND] helpful [IMPLY] polite [PERIOD]
uptight [IMPLY] horrible [PERIOD]
helpful [AND] frantic [IMPLY] innocent [PERIOD]
hypocritical [AND] confident [AND] talkative [IMPLY] innocent [PERIOD]
polite [AND] victorious [IMPLY] talkative [PERIOD]
helpful [AND] talkative [IMPLY] frantic [PERIOD]
messy [IMPLY] cruel [PERIOD]
foolish [IMPLY] messy [PERIOD]
confident [AND] inexpensive [AND] helpful [IMPLY] talkative [PERIOD]
talkative [IMPLY] fearless [PERIOD]
cruel [AND] frantic [AND] modern [IMPLY] hypocritical [PERIOD]
foolish [AND] helpful [AND] confident [IMPLY] messy [PERIOD]
rational [AND] helpful [AND] foolish [IMPLY] innocent [PERIOD]
helpful [IMPLY] polite [PERIOD]
modern [IMPLY] confident [PERIOD]
uptight [AND] horrible [IMPLY] innocent [PERIOD]
modern [IMPLY] talkative [PERIOD]
messy [AND] innocent [AND] polite [IMPLY] horrible [PERIOD]
uptight [IMPLY] foolish [PERIOD]
victorious [AND] beautiful [AND] rational [IMPLY] cruel [PERIOD]
victorious [AND] frantic [IMPLY] confident [PERIOD]
uptight [AND] hypocritical [IMPLY] horrible [PERIOD]
victorious [IMPLY] fearless [PERIOD]
hypocritical [AND] confident [AND] rational [IMPLY] foolish [PERIOD]
hypocritical [AND] beautiful [AND] rational [IMPLY] uptight [PERIOD]
confident [AND] polite [AND] fearless [IMPLY] messy [PERIOD]
uptight [AND] rational [IMPLY] beautiful [PERIOD]
talkative [IMPLY] beautiful [PERIOD]
beautiful [AND] messy [IMPLY] polite [PERIOD]
horrible [AND] talkative [AND] victorious [IMPLY] innocent [PERIOD]
modern [AND] rational [AND] talkative [IMPLY] foolish [PERIOD]
talkative [IMPLY] rational [PERIOD]
beautiful [IMPLY] hypocritical [PERIOD]
talkative [IMPLY] confident [PERIOD]
messy [AND] talkative [AND] inexpensive [IMPLY] helpful [PERIOD]
horrible [AND] talkative [AND] uptight [IMPLY] cruel [PERIOD]
polite [AND] innocent [IMPLY] horrible [PERIOD]
talkative [IMPLY] messy [PERIOD]
innocent [IMPLY] modern [PERIOD]
polite [IMPLY] talkative [PERIOD]
polite [IMPLY] cruel [PERIOD]
fearless [AND] talkative [IMPLY] polite [PERIOD]
cruel [AND] uptight [AND] frantic [IMPLY] beautiful [PERIOD]
polite [AND] confident [AND] beautiful [IMPLY] inexpensive [PERIOD]
helpful [AND] inexpensive [AND] messy [IMPLY] modern [PERIOD]
hypocritical [AND] beautiful [AND] innocent [IMPLY] frantic [PERIOD]
uptight [AND] frantic [AND] hypocritical [IMPLY] confident [PERIOD]
fearless [AND] talkative [IMPLY] inexpensive [PERIOD]
foolish [AND] cruel [AND] victorious [IMPLY] rational [PERIOD]
innocent [AND] inexpensive [IMPLY] uptight [PERIOD]
hypocritical [AND] uptight [IMPLY] helpful [PERIOD]
polite [AND] victorious [IMPLY] helpful [PERIOD]
helpful [AND] messy [AND] victorious [IMPLY] hypocritical [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   victorious ⇒ fearless
   innocent ⇒ modern
   modern ⇒ talkative
   fearless ∧ talkative ⇒ polite
",1,4
"Facts:  Alice is beautiful [PERIOD] Alice is popular [PERIOD] Alice is curious [PERIOD]
Rules:
selfish [IMPLY] stormy [PERIOD]
impartial [AND] hilarious [AND] busy [IMPLY] condemned [PERIOD]
troubled [AND] long [IMPLY] condemned [PERIOD]
hilarious [IMPLY] straightforward [PERIOD]
straightforward [AND] long [IMPLY] plain [PERIOD]
reserved [AND] strange [AND] stormy [IMPLY] straightforward [PERIOD]
stormy [AND] busy [AND] curious [IMPLY] silly [PERIOD]
silly [AND] troubled [IMPLY] busy [PERIOD]
plain [AND] inexpensive [IMPLY] condemned [PERIOD]
exuberant [AND] stormy [AND] plain [IMPLY] reserved [PERIOD]
selfish [AND] exuberant [AND] inexpensive [IMPLY] popular [PERIOD]
silly [IMPLY] troubled [PERIOD]
impartial [AND] tired [IMPLY] reserved [PERIOD]
straightforward [AND] selfish [IMPLY] condemned [PERIOD]
bright [AND] silly [AND] curious [IMPLY] tired [PERIOD]
popular [IMPLY] impartial [PERIOD]
popular [IMPLY] tired [PERIOD]
straightforward [IMPLY] troubled [PERIOD]
beautiful [AND] troubled [AND] curious [IMPLY] inexpensive [PERIOD]
reserved [AND] popular [AND] silly [IMPLY] impartial [PERIOD]
popular [AND] stormy [IMPLY] selfish [PERIOD]
condemned [AND] popular [AND] exuberant [IMPLY] curious [PERIOD]
reserved [AND] silly [IMPLY] condemned [PERIOD]
popular [AND] busy [IMPLY] plain [PERIOD]
reserved [IMPLY] silly [PERIOD]
tired [AND] beautiful [IMPLY] curious [PERIOD]
exuberant [AND] hilarious [AND] reserved [IMPLY] strange [PERIOD]
inexpensive [AND] troubled [AND] beautiful [IMPLY] plain [PERIOD]
busy [IMPLY] loving [PERIOD]
tired [IMPLY] loving [PERIOD]
impartial [AND] tired [IMPLY] bright [PERIOD]
strange [AND] bright [IMPLY] stormy [PERIOD]
straightforward [AND] popular [IMPLY] troubled [PERIOD]
silly [IMPLY] loving [PERIOD]
reserved [AND] long [IMPLY] hilarious [PERIOD]
silly [AND] selfish [AND] hilarious [IMPLY] condemned [PERIOD]
bright [AND] popular [IMPLY] selfish [PERIOD]
tired [IMPLY] stormy [PERIOD]
stormy [AND] impartial [AND] silly [IMPLY] popular [PERIOD]
strange [IMPLY] condemned [PERIOD]
straightforward [AND] silly [IMPLY] selfish [PERIOD]
straightforward [IMPLY] curious [PERIOD]
selfish [IMPLY] strange [PERIOD]
popular [IMPLY] troubled [PERIOD]
popular [AND] straightforward [AND] tired [IMPLY] selfish [PERIOD]
exuberant [AND] curious [IMPLY] bright [PERIOD]
inexpensive [IMPLY] straightforward [PERIOD]
tired [AND] beautiful [AND] reserved [IMPLY] silly [PERIOD]
busy [AND] straightforward [AND] popular [IMPLY] plain [PERIOD]
troubled [AND] impartial [IMPLY] strange [PERIOD]
bright [IMPLY] stormy [PERIOD]
stormy [AND] plain [IMPLY] tired [PERIOD]
condemned [AND] long [AND] tired [IMPLY] impartial [PERIOD]
long [AND] strange [AND] silly [IMPLY] troubled [PERIOD]
exuberant [AND] selfish [IMPLY] stormy [PERIOD]
impartial [AND] straightforward [AND] curious [IMPLY] bright [PERIOD]
beautiful [IMPLY] exuberant [PERIOD]
popular [AND] reserved [AND] bright [IMPLY] troubled [PERIOD]
silly [AND] strange [AND] selfish [IMPLY] plain [PERIOD]
beautiful [AND] tired [IMPLY] strange [PERIOD]
condemned [AND] inexpensive [IMPLY] long [PERIOD]
tired [AND] selfish [AND] exuberant [IMPLY] busy [PERIOD]
exuberant [IMPLY] stormy [PERIOD]
loving [AND] hilarious [IMPLY] long [PERIOD]
exuberant [IMPLY] silly [PERIOD]
inexpensive [IMPLY] long [PERIOD]
stormy [AND] loving [IMPLY] silly [PERIOD]
reserved [AND] busy [IMPLY] hilarious [PERIOD]
selfish [AND] stormy [IMPLY] loving [PERIOD]
long [AND] reserved [AND] bright [IMPLY] straightforward [PERIOD]
troubled [AND] impartial [IMPLY] popular [PERIOD]
long [AND] busy [IMPLY] inexpensive [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
   popular ⇒ impartial
   popular ⇒ tired
   impartial ∧ tired ⇒ reserved
   beautiful ⇒ exuberant
   exuberant ⇒ silly
   reserved ∧ silly ⇒ condemned
",1,6
"Facts:  Alice is gifted [PERIOD] Alice is tense [PERIOD] Alice is pessimistic [PERIOD] Alice is proud [PERIOD]
Rules:
wide-eyed [AND] gleaming [IMPLY] excited [PERIOD]
weary [AND] enchanting [AND] inquisitive [IMPLY] confused [PERIOD]
tense [AND] worrisome [IMPLY] proud [PERIOD]
fine [IMPLY] gleaming [PERIOD]
gifted [AND] confused [IMPLY] enchanting [PERIOD]
disobedient [IMPLY] thoughtless [PERIOD]
straightforward [AND] tense [IMPLY] gleaming [PERIOD]
attentive [AND] fine [AND] charming [IMPLY] elated [PERIOD]
inexpensive [AND] fine [AND] weary [IMPLY] disobedient [PERIOD]
tense [IMPLY] proud [PERIOD]
clumsy [AND] elated [IMPLY] attentive [PERIOD]
elated [AND] rational [AND] pessimistic [IMPLY] thoughtless [PERIOD]
disobedient [IMPLY] gleaming [PERIOD]
pessimistic [AND] hypocritical [AND] tense [IMPLY] excited [PERIOD]
weary [AND] hurt [IMPLY] uptight [PERIOD]
elated [AND] gleaming [IMPLY] proud [PERIOD]
attentive [AND] pessimistic [AND] enchanting [IMPLY] inexpensive [PERIOD]
broad-minded [IMPLY] elated [PERIOD]
enchanting [AND] broad-minded [AND] serious [IMPLY] spotless [PERIOD]
gifted [AND] clumsy [IMPLY] gleaming [PERIOD]
enchanting [AND] uptight [AND] clumsy [IMPLY] elated [PERIOD]
gleaming [AND] rational [AND] gifted [IMPLY] frail [PERIOD]
weary [IMPLY] thoughtless [PERIOD]
enchanting [IMPLY] rational [PERIOD]
wide-eyed [AND] gleaming [AND] confused [IMPLY] enchanting [PERIOD]
frail [AND] straightforward [AND] tense [IMPLY] pessimistic [PERIOD]
clumsy [AND] enchanting [IMPLY] worrisome [PERIOD]
inquisitive [AND] hurt [AND] pessimistic [IMPLY] attentive [PERIOD]
pessimistic [IMPLY] fine [PERIOD]
spotless [IMPLY] attractive [PERIOD]
pessimistic [AND] weary [IMPLY] gifted [PERIOD]
spotless [AND] weary [IMPLY] rational [PERIOD]
confused [AND] proud [AND] serious [IMPLY] tense [PERIOD]
clumsy [IMPLY] elated [PERIOD]
pessimistic [AND] thoughtless [AND] gleaming [IMPLY] broad-minded [PERIOD]
elated [AND] rational [IMPLY] broad-minded [PERIOD]
gifted [IMPLY] tense [PERIOD]
tense [IMPLY] rational [PERIOD]
gifted [IMPLY] pessimistic [PERIOD]
frail [AND] charming [AND] serious [IMPLY] tense [PERIOD]
serious [IMPLY] confused [PERIOD]
uptight [IMPLY] excited [PERIOD]
enchanting [AND] inexpensive [AND] hurt [IMPLY] disobedient [PERIOD]
disobedient [AND] fine [IMPLY] broad-minded [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   pessimistic ⇒ fine
   fine ⇒ gleaming
   Cannot apply rule “wide-eyed ∧ gleaming ⇒ excited” because missing: wide-eyed.
   Cannot apply rule “pessimistic ∧ hypocritical ∧ tense ⇒ excited” because missing: hypocritical.
   Cannot apply rule “uptight ⇒ excited” because missing: uptight.
",0,5
"Facts:  Alice is tense [PERIOD]
Rules:
rude [AND] careless [AND] lucky [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] rude [PERIOD]
difficult [IMPLY] rude [PERIOD]
fragile [AND] frail [IMPLY] outstanding [PERIOD]
lucky [IMPLY] rude [PERIOD]
friendly [IMPLY] tense [PERIOD]
frail [AND] careless [AND] lucky [IMPLY] rude [PERIOD]
agreeable [AND] vivacious [IMPLY] difficult [PERIOD]
frail [IMPLY] tense [PERIOD]
vivacious [AND] friendly [AND] muddy [IMPLY] frail [PERIOD]
muddy [IMPLY] fragile [PERIOD]
hypocritical [AND] agreeable [IMPLY] outstanding [PERIOD]
agreeable [AND] tense [AND] careless [IMPLY] difficult [PERIOD]
hypocritical [IMPLY] agreeable [PERIOD]
muddy [IMPLY] hypocritical [PERIOD]
friendly [IMPLY] hypocritical [PERIOD]
careless [AND] fragile [IMPLY] difficult [PERIOD]
frail [AND] vivacious [IMPLY] friendly [PERIOD]
lucky [IMPLY] muddy [PERIOD]
muddy [IMPLY] friendly [PERIOD]
difficult [AND] muddy [IMPLY] hypocritical [PERIOD]
muddy [AND] tense [AND] careless [IMPLY] outstanding [PERIOD]
vivacious [AND] hypocritical [AND] outstanding [IMPLY] fragile [PERIOD]
difficult [AND] careless [IMPLY] vivacious [PERIOD]
careless [IMPLY] frail [PERIOD]
frail [AND] vivacious [IMPLY] stubborn [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   Cannot apply rule “muddy ⇒ fragile” because missing: muddy.
   Cannot apply rule “vivacious ∧ hypocritical ∧ outstanding ⇒ fragile” because missing: vivacious, hypocritical, outstanding.
",0,2
"Facts:  Alice is average [PERIOD] Alice is ambitious [PERIOD] Alice is worried [PERIOD] Alice is grumpy [PERIOD] Alice is vivacious [PERIOD] Alice is nervous [PERIOD] Alice is embarrassed [PERIOD] Alice is calm [PERIOD] Alice is courageous [PERIOD] Alice is curious [PERIOD] Alice is ugly [PERIOD]
Rules:
average [AND] courageous [IMPLY] curious [PERIOD]
ugly [AND] calm [AND] worried [IMPLY] vivacious [PERIOD]
embarrassed [AND] calm [IMPLY] vivacious [PERIOD]
calm [AND] ugly [AND] courageous [IMPLY] worried [PERIOD]
calm [AND] ugly [IMPLY] embarrassed [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is blushing [PERIOD]
Rules:
diplomatic [AND] hypocritical [IMPLY] foolish [PERIOD]
ugliest [AND] foolish [IMPLY] enchanting [PERIOD]
thoughtful [IMPLY] attentive [PERIOD]
enchanting [AND] sleepy [IMPLY] diplomatic [PERIOD]
attentive [IMPLY] blushing [PERIOD]
blushing [IMPLY] thoughtful [PERIOD]
attentive [IMPLY] hypocritical [PERIOD]
foolish [AND] thoughtful [IMPLY] sleepy [PERIOD]
diplomatic [AND] blushing [IMPLY] thoughtful [PERIOD]
ambitious [AND] enchanting [IMPLY] attentive [PERIOD]
ugliest [AND] diplomatic [AND] foolish [IMPLY] naughty [PERIOD]
ugliest [IMPLY] naughty [PERIOD]
hypocritical [AND] thoughtful [IMPLY] ambitious [PERIOD]
diplomatic [IMPLY] hypocritical [PERIOD]
hypocritical [AND] naughty [IMPLY] ugliest [PERIOD]
ambitious [AND] diplomatic [IMPLY] foolish [PERIOD]
blushing [AND] ugliest [AND] hypocritical [IMPLY] attentive [PERIOD]
enchanting [AND] diplomatic [AND] naughty [IMPLY] foolish [PERIOD]
enchanting [AND] ugliest [IMPLY] hypocritical [PERIOD]
foolish [IMPLY] diplomatic [PERIOD]
sleepy [IMPLY] thoughtful [PERIOD]
diplomatic [AND] blushing [AND] naughty [IMPLY] enchanting [PERIOD]
ambitious [IMPLY] ugliest [PERIOD]
ambitious [AND] sleepy [IMPLY] attentive [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
   blushing ⇒ thoughtful
   thoughtful ⇒ attentive
   attentive ⇒ hypocritical
",1,3
"Facts:  Alice is difficult [PERIOD] Alice is naughty [PERIOD] Alice is powerful [PERIOD] Alice is thoughtful [PERIOD] Alice is curious [PERIOD] Alice is smart [PERIOD] Alice is different [PERIOD] Alice is stupid [PERIOD] Alice is combative [PERIOD] Alice is plain [PERIOD] Alice is elated [PERIOD] Alice is inquisitive [PERIOD] Alice is pessimistic [PERIOD] Alice is mean [PERIOD] Alice is muddy [PERIOD] Alice is grumpy [PERIOD] Alice is talkative [PERIOD] Alice is broad-minded [PERIOD] Alice is tidy [PERIOD] Alice is tired [PERIOD] Alice is attractive [PERIOD] Alice is dishonest [PERIOD] Alice is light [PERIOD]
Rules:
muddy [AND] stupid [IMPLY] curious [PERIOD]
tidy [AND] tired [AND] grumpy [IMPLY] powerful [PERIOD]
light [AND] grumpy [AND] tired [IMPLY] inquisitive [PERIOD]
elated [AND] grumpy [IMPLY] pessimistic [PERIOD]
dishonest [AND] plain [IMPLY] combative [PERIOD]
tidy [AND] curious [AND] powerful [IMPLY] plain [PERIOD]
tidy [AND] broad-minded [AND] naughty [IMPLY] pessimistic [PERIOD]
curious [AND] tidy [IMPLY] attractive [PERIOD]
naughty [AND] dishonest [IMPLY] grumpy [PERIOD]
mean [IMPLY] powerful [PERIOD]
plain [AND] smart [IMPLY] muddy [PERIOD]
talkative [AND] curious [AND] tidy [IMPLY] stupid [PERIOD]
attractive [AND] pessimistic [IMPLY] dishonest [PERIOD]
talkative [AND] thoughtful [AND] light [IMPLY] broad-minded [PERIOD]
broad-minded [AND] difficult [IMPLY] thoughtful [PERIOD]
light [AND] combative [AND] curious [IMPLY] thoughtful [PERIOD]
tidy [AND] combative [IMPLY] smart [PERIOD]
thoughtful [IMPLY] pessimistic [PERIOD]
plain [AND] thoughtful [AND] curious [IMPLY] grumpy [PERIOD]
difficult [AND] talkative [AND] grumpy [IMPLY] naughty [PERIOD]
powerful [AND] curious [AND] talkative [IMPLY] thoughtful [PERIOD]
grumpy [AND] thoughtful [AND] different [IMPLY] talkative [PERIOD]
tired [AND] dishonest [IMPLY] mean [PERIOD]
stupid [IMPLY] grumpy [PERIOD]
naughty [AND] combative [IMPLY] powerful [PERIOD]
elated [AND] difficult [IMPLY] dishonest [PERIOD]
tidy [IMPLY] combative [PERIOD]
pessimistic [AND] elated [AND] tidy [IMPLY] attractive [PERIOD]
dishonest [AND] mean [AND] difficult [IMPLY] powerful [PERIOD]
combative [AND] attractive [IMPLY] plain [PERIOD]
combative [AND] plain [IMPLY] tired [PERIOD]
thoughtful [AND] talkative [IMPLY] naughty [PERIOD]
naughty [AND] broad-minded [AND] difficult [IMPLY] stupid [PERIOD]
muddy [AND] pessimistic [IMPLY] tired [PERIOD]
attractive [AND] dishonest [AND] grumpy [IMPLY] pessimistic [PERIOD]
naughty [AND] muddy [IMPLY] dishonest [PERIOD]
mean [AND] difficult [IMPLY] powerful [PERIOD]
smart [IMPLY] elated [PERIOD]
plain [AND] curious [AND] thoughtful [IMPLY] elated [PERIOD]
different [IMPLY] thoughtful [PERIOD]
smart [IMPLY] attractive [PERIOD]
inquisitive [AND] different [IMPLY] naughty [PERIOD]
dishonest [IMPLY] different [PERIOD]
attractive [AND] broad-minded [IMPLY] smart [PERIOD]
elated [AND] light [IMPLY] thoughtful [PERIOD]
inquisitive [AND] powerful [IMPLY] elated [PERIOD]
dishonest [IMPLY] powerful [PERIOD]
different [AND] light [AND] tired [IMPLY] stupid [PERIOD]
curious [AND] talkative [AND] grumpy [IMPLY] broad-minded [PERIOD]
attractive [AND] dishonest [AND] plain [IMPLY] combative [PERIOD]
plain [IMPLY] grumpy [PERIOD]
broad-minded [IMPLY] attractive [PERIOD]
tidy [IMPLY] pessimistic [PERIOD]
muddy [AND] stupid [AND] naughty [IMPLY] elated [PERIOD]
dishonest [AND] difficult [AND] plain [IMPLY] attractive [PERIOD]
thoughtful [IMPLY] dishonest [PERIOD]
different [AND] plain [IMPLY] stupid [PERIOD]
mean [IMPLY] tired [PERIOD]
grumpy [AND] different [AND] pessimistic [IMPLY] muddy [PERIOD]
light [AND] tired [AND] dishonest [IMPLY] broad-minded [PERIOD]
muddy [IMPLY] broad-minded [PERIOD]
elated [AND] pessimistic [AND] muddy [IMPLY] tired [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is horrible [PERIOD] Alice is muddy [PERIOD] Alice is rational [PERIOD] Alice is beautiful [PERIOD]
Rules:
pessimistic [AND] beautiful [IMPLY] wrong [PERIOD]
muddy [AND] bored [IMPLY] cruel [PERIOD]
courageous [AND] bored [AND] cruel [IMPLY] gleaming [PERIOD]
beautiful [AND] cruel [IMPLY] wrong [PERIOD]
pessimistic [AND] confused [IMPLY] gleaming [PERIOD]
rational [IMPLY] bored [PERIOD]
bored [AND] cruel [IMPLY] tired [PERIOD]
wrong [IMPLY] beautiful [PERIOD]
famous [IMPLY] cruel [PERIOD]
rational [AND] bored [IMPLY] cruel [PERIOD]
horrible [AND] uptight [AND] bored [IMPLY] rational [PERIOD]
crowded [AND] bored [AND] cruel [IMPLY] wrong [PERIOD]
muddy [AND] uptight [AND] courageous [IMPLY] ambitious [PERIOD]
uptight [AND] muddy [IMPLY] horrible [PERIOD]
Query: Alice is tired [PERIOD]","Proof chain:
   rational ⇒ bored
   rational ⇒ bored
   muddy ∧ bored ⇒ cruel
   bored ∧ cruel ⇒ tired
",1,4
"Facts:  Alice is powerful [PERIOD] Alice is ambitious [PERIOD] Alice is long [PERIOD] Alice is old-fashioned [PERIOD] Alice is condemned [PERIOD] Alice is scared [PERIOD] Alice is zealous [PERIOD]
Rules:
bright [AND] bad-tempered [AND] thoughtless [IMPLY] attentive [PERIOD]
worrisome [AND] scared [IMPLY] long [PERIOD]
zealous [AND] diplomatic [AND] attentive [IMPLY] powerful [PERIOD]
thoughtless [AND] powerful [AND] worrisome [IMPLY] dishonest [PERIOD]
ambitious [AND] zealous [IMPLY] bad-tempered [PERIOD]
adorable [IMPLY] long [PERIOD]
worrisome [AND] scared [AND] bright [IMPLY] powerful [PERIOD]
bad-tempered [AND] ambitious [IMPLY] broad-minded [PERIOD]
condemned [AND] attentive [AND] broad-minded [IMPLY] zealous [PERIOD]
worrisome [AND] ambitious [AND] scared [IMPLY] thoughtless [PERIOD]
old-fashioned [IMPLY] dishonest [PERIOD]
worrisome [AND] condemned [AND] diplomatic [IMPLY] old-fashioned [PERIOD]
condemned [IMPLY] worrisome [PERIOD]
attentive [AND] broad-minded [AND] bad-tempered [IMPLY] old-fashioned [PERIOD]
attentive [IMPLY] zealous [PERIOD]
bad-tempered [AND] adorable [AND] worrisome [IMPLY] zealous [PERIOD]
attentive [AND] thoughtless [IMPLY] zealous [PERIOD]
bright [AND] old-fashioned [IMPLY] broad-minded [PERIOD]
ambitious [AND] dishonest [AND] powerful [IMPLY] old-fashioned [PERIOD]
long [IMPLY] thoughtless [PERIOD]
diplomatic [IMPLY] thoughtless [PERIOD]
bright [IMPLY] dishonest [PERIOD]
scared [AND] bad-tempered [IMPLY] bright [PERIOD]
powerful [IMPLY] worrisome [PERIOD]
worrisome [AND] diplomatic [IMPLY] bad-tempered [PERIOD]
dishonest [IMPLY] worrisome [PERIOD]
zealous [IMPLY] adorable [PERIOD]
zealous [IMPLY] thoughtless [PERIOD]
diplomatic [AND] zealous [IMPLY] old-fashioned [PERIOD]
dishonest [AND] powerful [IMPLY] diplomatic [PERIOD]
bad-tempered [AND] zealous [IMPLY] old-fashioned [PERIOD]
attentive [AND] thoughtless [AND] long [IMPLY] old-fashioned [PERIOD]
thoughtless [AND] powerful [IMPLY] adorable [PERIOD]
dishonest [AND] long [AND] diplomatic [IMPLY] bright [PERIOD]
thoughtless [IMPLY] bad-tempered [PERIOD]
long [IMPLY] old-fashioned [PERIOD]
diplomatic [IMPLY] broad-minded [PERIOD]
scared [AND] bright [AND] bad-tempered [IMPLY] diplomatic [PERIOD]
scared [IMPLY] bad-tempered [PERIOD]
thoughtless [IMPLY] attentive [PERIOD]
broad-minded [IMPLY] zealous [PERIOD]
thoughtless [IMPLY] ambitious [PERIOD]
worrisome [IMPLY] condemned [PERIOD]
attentive [IMPLY] long [PERIOD]
bright [IMPLY] bad-tempered [PERIOD]
diplomatic [IMPLY] bright [PERIOD]
attentive [AND] thoughtless [AND] scared [IMPLY] worrisome [PERIOD]
long [AND] powerful [IMPLY] condemned [PERIOD]
dishonest [IMPLY] adorable [PERIOD]
ambitious [AND] broad-minded [IMPLY] worrisome [PERIOD]
condemned [AND] attentive [IMPLY] diplomatic [PERIOD]
powerful [IMPLY] zealous [PERIOD]
ambitious [AND] condemned [AND] thoughtless [IMPLY] attentive [PERIOD]
diplomatic [AND] worrisome [AND] adorable [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] ambitious [IMPLY] bright [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   scared ⇒ bad-tempered
",1,1
"Facts: 
Rules:
lonely [AND] average [IMPLY] stubborn [PERIOD]
courageous [AND] inexpensive [IMPLY] frightened [PERIOD]
average [AND] amused [IMPLY] courageous [PERIOD]
frightened [AND] stubborn [IMPLY] difficult [PERIOD]
courageous [AND] mysterious [IMPLY] zealous [PERIOD]
average [IMPLY] silly [PERIOD]
mysterious [IMPLY] inexpensive [PERIOD]
zealous [AND] tender [IMPLY] disobedient [PERIOD]
difficult [AND] zealous [IMPLY] tender [PERIOD]
rude [AND] disobedient [IMPLY] anxious [PERIOD]
lonely [AND] agreeable [IMPLY] courageous [PERIOD]
agreeable [AND] stubborn [AND] mean [IMPLY] average [PERIOD]
lonely [AND] anxious [AND] frightened [IMPLY] difficult [PERIOD]
amused [AND] rude [AND] blushing [IMPLY] average [PERIOD]
stubborn [AND] zealous [AND] lucky [IMPLY] anxious [PERIOD]
tender [IMPLY] blushing [PERIOD]
rude [IMPLY] average [PERIOD]
mean [AND] average [AND] stubborn [IMPLY] zealous [PERIOD]
courageous [AND] average [IMPLY] mean [PERIOD]
amused [IMPLY] difficult [PERIOD]
blushing [AND] silly [AND] stubborn [IMPLY] agreeable [PERIOD]
lonely [AND] difficult [AND] average [IMPLY] rude [PERIOD]
disobedient [IMPLY] anxious [PERIOD]
inexpensive [AND] mysterious [IMPLY] difficult [PERIOD]
courageous [IMPLY] agreeable [PERIOD]
silly [AND] inexpensive [IMPLY] amused [PERIOD]
inexpensive [AND] lonely [IMPLY] agreeable [PERIOD]
frightened [AND] silly [AND] courageous [IMPLY] rude [PERIOD]
stubborn [AND] average [AND] anxious [IMPLY] disobedient [PERIOD]
mean [AND] anxious [AND] difficult [IMPLY] silly [PERIOD]
amused [AND] agreeable [IMPLY] silly [PERIOD]
vivacious [AND] silly [AND] blushing [IMPLY] stubborn [PERIOD]
frightened [IMPLY] blushing [PERIOD]
inexpensive [IMPLY] mean [PERIOD]
lucky [IMPLY] vivacious [PERIOD]
courageous [AND] mysterious [AND] mean [IMPLY] blushing [PERIOD]
stubborn [IMPLY] mysterious [PERIOD]
rude [AND] silly [IMPLY] blushing [PERIOD]
stubborn [IMPLY] lucky [PERIOD]
blushing [IMPLY] vivacious [PERIOD]
anxious [AND] zealous [IMPLY] vivacious [PERIOD]
silly [AND] mysterious [IMPLY] lucky [PERIOD]
mean [AND] amused [IMPLY] tender [PERIOD]
mean [AND] rude [IMPLY] silly [PERIOD]
courageous [AND] vivacious [AND] inexpensive [IMPLY] blushing [PERIOD]
stubborn [AND] vivacious [IMPLY] difficult [PERIOD]
stubborn [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] mean [PERIOD]
mysterious [AND] courageous [IMPLY] agreeable [PERIOD]
tender [IMPLY] silly [PERIOD]
zealous [IMPLY] agreeable [PERIOD]
difficult [AND] silly [AND] rude [IMPLY] mysterious [PERIOD]
tender [AND] amused [AND] average [IMPLY] silly [PERIOD]
lucky [IMPLY] frightened [PERIOD]
courageous [AND] mysterious [IMPLY] stubborn [PERIOD]
difficult [IMPLY] zealous [PERIOD]
average [IMPLY] rude [PERIOD]
agreeable [IMPLY] disobedient [PERIOD]
tender [AND] agreeable [AND] lucky [IMPLY] silly [PERIOD]
silly [AND] anxious [AND] rude [IMPLY] vivacious [PERIOD]
stubborn [IMPLY] tender [PERIOD]
mean [AND] difficult [IMPLY] frightened [PERIOD]
frightened [IMPLY] agreeable [PERIOD]
amused [AND] lonely [IMPLY] mean [PERIOD]
silly [AND] tender [AND] lonely [IMPLY] anxious [PERIOD]
mysterious [IMPLY] average [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   Cannot apply rule “average ⇒ silly” because missing: average.
   Cannot apply rule “mean ∧ anxious ∧ difficult ⇒ silly” because missing: mean, anxious, difficult.
   Cannot apply rule “amused ∧ agreeable ⇒ silly” because missing: amused, agreeable.
   Cannot apply rule “mean ∧ rude ⇒ silly” because missing: mean, rude.
   Cannot apply rule “tender ⇒ silly” because missing: tender.
   Cannot apply rule “tender ∧ amused ∧ average ⇒ silly” because missing: tender, amused, average.
   Cannot apply rule “tender ∧ agreeable ∧ lucky ⇒ silly” because missing: tender, agreeable, lucky.
",0,7
"Facts:  Alice is wide-eyed [PERIOD] Alice is frantic [PERIOD]
Rules:
victorious [IMPLY] fine [PERIOD]
good [IMPLY] inexpensive [PERIOD]
cooperative [AND] easy [AND] old-fashioned [IMPLY] fancy [PERIOD]
frantic [AND] clean [IMPLY] fine [PERIOD]
victorious [AND] supportive [IMPLY] innocent [PERIOD]
inexpensive [AND] disgusted [AND] clumsy [IMPLY] victorious [PERIOD]
tidy [AND] hypocritical [AND] straightforward [IMPLY] good [PERIOD]
supportive [AND] mysterious [AND] cooperative [IMPLY] frantic [PERIOD]
frightened [IMPLY] tidy [PERIOD]
frightened [AND] cooperative [AND] tidy [IMPLY] unpleasant [PERIOD]
straightforward [AND] good [AND] inexpensive [IMPLY] unpleasant [PERIOD]
straightforward [AND] victorious [IMPLY] easy [PERIOD]
frantic [AND] hypocritical [IMPLY] straightforward [PERIOD]
clumsy [AND] frantic [AND] modern [IMPLY] fine [PERIOD]
frightened [IMPLY] mysterious [PERIOD]
innocent [AND] frantic [IMPLY] old-fashioned [PERIOD]
inexpensive [IMPLY] straightforward [PERIOD]
mysterious [AND] stormy [AND] fancy [IMPLY] wide-eyed [PERIOD]
modern [AND] horrible [AND] clumsy [IMPLY] victorious [PERIOD]
good [AND] talented [IMPLY] victorious [PERIOD]
hypocritical [AND] victorious [IMPLY] fine [PERIOD]
aggressive [AND] disgusted [AND] mysterious [IMPLY] frightened [PERIOD]
fine [AND] tidy [IMPLY] good [PERIOD]
distinct [AND] modern [IMPLY] old-fashioned [PERIOD]
inquisitive [AND] clean [AND] aggressive [IMPLY] easy [PERIOD]
cooperative [IMPLY] old-fashioned [PERIOD]
unpleasant [AND] inexpensive [AND] supportive [IMPLY] victorious [PERIOD]
old-fashioned [AND] horrible [AND] straightforward [IMPLY] supportive [PERIOD]
horrible [IMPLY] victorious [PERIOD]
fancy [AND] victorious [AND] aggressive [IMPLY] horrible [PERIOD]
horrible [IMPLY] inquisitive [PERIOD]
hypocritical [AND] frightened [AND] tidy [IMPLY] fancy [PERIOD]
disgusted [AND] easy [IMPLY] unpleasant [PERIOD]
victorious [IMPLY] fancy [PERIOD]
frantic [AND] old-fashioned [AND] innocent [IMPLY] hypocritical [PERIOD]
good [AND] easy [AND] clumsy [IMPLY] wide-eyed [PERIOD]
tidy [IMPLY] hypocritical [PERIOD]
frantic [IMPLY] fine [PERIOD]
cooperative [AND] old-fashioned [IMPLY] clean [PERIOD]
frantic [AND] clean [AND] modern [IMPLY] fine [PERIOD]
inquisitive [AND] easy [AND] fancy [IMPLY] tidy [PERIOD]
distinct [IMPLY] horrible [PERIOD]
wide-eyed [AND] cooperative [IMPLY] clumsy [PERIOD]
fine [AND] clumsy [AND] horrible [IMPLY] frantic [PERIOD]
cooperative [IMPLY] fancy [PERIOD]
wide-eyed [IMPLY] unpleasant [PERIOD]
old-fashioned [AND] straightforward [IMPLY] modern [PERIOD]
old-fashioned [AND] cooperative [IMPLY] easy [PERIOD]
frightened [AND] stormy [IMPLY] unpleasant [PERIOD]
easy [AND] clumsy [AND] old-fashioned [IMPLY] frightened [PERIOD]
good [AND] horrible [AND] innocent [IMPLY] unpleasant [PERIOD]
modern [IMPLY] unpleasant [PERIOD]
fancy [IMPLY] frantic [PERIOD]
frantic [IMPLY] aggressive [PERIOD]
horrible [AND] inexpensive [IMPLY] frightened [PERIOD]
stormy [AND] inexpensive [AND] supportive [IMPLY] fancy [PERIOD]
mysterious [AND] stormy [AND] cooperative [IMPLY] hypocritical [PERIOD]
cooperative [AND] supportive [AND] victorious [IMPLY] stormy [PERIOD]
stormy [AND] mysterious [AND] supportive [IMPLY] unpleasant [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   Cannot apply rule “inexpensive ∧ disgusted ∧ clumsy ⇒ victorious” because missing: inexpensive, disgusted, clumsy.
   Cannot apply rule “modern ∧ horrible ∧ clumsy ⇒ victorious” because missing: modern, horrible, clumsy.
   Cannot apply rule “good ∧ talented ⇒ victorious” because missing: good, talented.
   wide-eyed ⇒ unpleasant
   Cannot apply rule “unpleasant ∧ inexpensive ∧ supportive ⇒ victorious” because missing: inexpensive, supportive.
   Cannot apply rule “horrible ⇒ victorious” because missing: horrible.
",0,6
"Facts:  Alice is tense [PERIOD]
Rules:
aggressive [AND] inexpensive [IMPLY] wide-eyed [PERIOD]
aggressive [IMPLY] scared [PERIOD]
inexpensive [AND] aggressive [IMPLY] tense [PERIOD]
scared [IMPLY] wide-eyed [PERIOD]
aggressive [AND] inexpensive [AND] tense [IMPLY] sincere [PERIOD]
aggressive [AND] tense [AND] sincere [IMPLY] scared [PERIOD]
tense [IMPLY] inexpensive [PERIOD]
sincere [IMPLY] inexpensive [PERIOD]
tense [AND] sincere [AND] scared [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] scared [PERIOD]
aggressive [AND] inexpensive [AND] sincere [IMPLY] wide-eyed [PERIOD]
sincere [IMPLY] aggressive [PERIOD]
wide-eyed [IMPLY] sincere [PERIOD]
aggressive [AND] scared [AND] tense [IMPLY] wide-eyed [PERIOD]
scared [IMPLY] tense [PERIOD]
scared [AND] tense [AND] sincere [IMPLY] inexpensive [PERIOD]
aggressive [IMPLY] inexpensive [PERIOD]
wide-eyed [AND] inexpensive [IMPLY] scared [PERIOD]
wide-eyed [AND] tense [IMPLY] aggressive [PERIOD]
wide-eyed [AND] aggressive [IMPLY] sincere [PERIOD]
sincere [AND] tense [IMPLY] inexpensive [PERIOD]
sincere [AND] aggressive [IMPLY] tense [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   tense ⇒ inexpensive
   Cannot apply rule “aggressive ∧ inexpensive ⇒ wide-eyed” because missing: aggressive.
   Cannot apply rule “scared ⇒ wide-eyed” because missing: scared.
   Cannot apply rule “tense ∧ sincere ∧ scared ⇒ wide-eyed” because missing: sincere, scared.
   tense ⇒ inexpensive
   Cannot apply rule “aggressive ∧ inexpensive ∧ sincere ⇒ wide-eyed” because missing: aggressive, sincere.
   Cannot apply rule “aggressive ∧ scared ∧ tense ⇒ wide-eyed” because missing: aggressive, scared.
",0,7
"Facts:  Alice is silly [PERIOD] Alice is long [PERIOD] Alice is comfortable [PERIOD] Alice is cooperative [PERIOD] Alice is sincere [PERIOD] Alice is fearless [PERIOD]
Rules:
sincere [IMPLY] sleepy [PERIOD]
long [AND] glamorous [IMPLY] zealous [PERIOD]
long [AND] gleaming [AND] zealous [IMPLY] bored [PERIOD]
naughty [AND] silly [IMPLY] gleaming [PERIOD]
comfortable [IMPLY] zealous [PERIOD]
long [IMPLY] sleepy [PERIOD]
rude [IMPLY] tame [PERIOD]
tame [AND] silly [AND] zealous [IMPLY] glamorous [PERIOD]
cooperative [AND] quaint [AND] rude [IMPLY] sleepy [PERIOD]
sincere [AND] gleaming [IMPLY] smart [PERIOD]
supportive [AND] dull [IMPLY] alert [PERIOD]
hurt [IMPLY] comfortable [PERIOD]
long [AND] quaint [IMPLY] gleaming [PERIOD]
zealous [AND] sincere [AND] vivacious [IMPLY] long [PERIOD]
alert [IMPLY] wandering [PERIOD]
naughty [AND] sincere [IMPLY] comfortable [PERIOD]
quaint [IMPLY] zealous [PERIOD]
glamorous [AND] comfortable [AND] rude [IMPLY] cooperative [PERIOD]
glamorous [AND] gleaming [IMPLY] quaint [PERIOD]
bored [AND] dull [AND] supportive [IMPLY] zealous [PERIOD]
fearless [AND] supportive [AND] silly [IMPLY] glamorous [PERIOD]
tame [AND] alert [IMPLY] rude [PERIOD]
silly [AND] tame [AND] sleepy [IMPLY] long [PERIOD]
silly [AND] bored [IMPLY] zealous [PERIOD]
naughty [AND] supportive [IMPLY] fearless [PERIOD]
alert [IMPLY] supportive [PERIOD]
cooperative [AND] easy [IMPLY] silly [PERIOD]
gleaming [IMPLY] rude [PERIOD]
quaint [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] quaint [PERIOD]
tame [IMPLY] vivacious [PERIOD]
easy [IMPLY] tame [PERIOD]
comfortable [IMPLY] dull [PERIOD]
cooperative [AND] long [AND] wandering [IMPLY] gleaming [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   cooperative ⇒ quaint
   long ∧ quaint ⇒ gleaming
   gleaming ⇒ rude
   rude ⇒ tame
   tame ⇒ vivacious
",1,5
"Facts:  Alice is zealous [PERIOD] Alice is outrageous [PERIOD] Alice is quaint [PERIOD]
Rules:
outrageous [AND] enchanting [IMPLY] hypocritical [PERIOD]
quaint [AND] pessimistic [AND] distinct [IMPLY] broad-minded [PERIOD]
frantic [AND] strange [AND] curious [IMPLY] pessimistic [PERIOD]
frantic [AND] pessimistic [IMPLY] hypocritical [PERIOD]
broad-minded [AND] strange [IMPLY] selfish [PERIOD]
quaint [AND] outrageous [AND] broad-minded [IMPLY] distinct [PERIOD]
quaint [AND] distinct [AND] enchanting [IMPLY] selfish [PERIOD]
frantic [AND] enchanting [AND] broad-minded [IMPLY] versatile [PERIOD]
frantic [AND] broad-minded [AND] selfish [IMPLY] outrageous [PERIOD]
zealous [AND] frantic [AND] selfish [IMPLY] quaint [PERIOD]
strange [AND] selfish [IMPLY] hypocritical [PERIOD]
strange [AND] selfish [AND] frantic [IMPLY] enchanting [PERIOD]
pessimistic [AND] outrageous [IMPLY] enchanting [PERIOD]
curious [AND] quaint [IMPLY] broad-minded [PERIOD]
broad-minded [AND] versatile [AND] strange [IMPLY] pessimistic [PERIOD]
quaint [AND] selfish [IMPLY] curious [PERIOD]
enchanting [IMPLY] selfish [PERIOD]
distinct [AND] outrageous [IMPLY] selfish [PERIOD]
curious [AND] selfish [IMPLY] enchanting [PERIOD]
selfish [AND] outrageous [AND] quaint [IMPLY] pessimistic [PERIOD]
versatile [IMPLY] curious [PERIOD]
outrageous [IMPLY] hypocritical [PERIOD]
selfish [AND] frantic [AND] hypocritical [IMPLY] curious [PERIOD]
zealous [AND] enchanting [IMPLY] outrageous [PERIOD]
selfish [IMPLY] broad-minded [PERIOD]
curious [AND] distinct [IMPLY] quaint [PERIOD]
strange [IMPLY] zealous [PERIOD]
strange [AND] broad-minded [AND] quaint [IMPLY] outrageous [PERIOD]
zealous [AND] enchanting [AND] frantic [IMPLY] outrageous [PERIOD]
enchanting [AND] quaint [AND] curious [IMPLY] zealous [PERIOD]
curious [AND] quaint [AND] pessimistic [IMPLY] zealous [PERIOD]
versatile [AND] enchanting [AND] quaint [IMPLY] curious [PERIOD]
strange [IMPLY] selfish [PERIOD]
selfish [AND] outrageous [IMPLY] enchanting [PERIOD]
broad-minded [IMPLY] outrageous [PERIOD]
quaint [IMPLY] outrageous [PERIOD]
hypocritical [AND] curious [IMPLY] outrageous [PERIOD]
Query: Alice is selfish [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ∧ strange ⇒ selfish” because missing: broad-minded, strange.
   Cannot apply rule “quaint ∧ distinct ∧ enchanting ⇒ selfish” because missing: distinct, enchanting.
   Cannot apply rule “enchanting ⇒ selfish” because missing: enchanting.
   Cannot apply rule “distinct ∧ outrageous ⇒ selfish” because missing: distinct.
   Cannot apply rule “strange ⇒ selfish” because missing: strange.
",0,5
"Facts:  Alice is impatient [PERIOD] Alice is clumsy [PERIOD] Alice is shiny [PERIOD] Alice is attentive [PERIOD] Alice is helpless [PERIOD] Alice is helpful [PERIOD] Alice is horrible [PERIOD] Alice is comfortable [PERIOD] Alice is ugliest [PERIOD]
Rules:
clumsy [AND] spotless [AND] comfortable [IMPLY] helpful [PERIOD]
helpless [IMPLY] comfortable [PERIOD]
shiny [AND] attentive [AND] ugliest [IMPLY] comfortable [PERIOD]
weary [IMPLY] comfortable [PERIOD]
attentive [AND] clumsy [AND] horrible [IMPLY] spotless [PERIOD]
ugliest [IMPLY] shiny [PERIOD]
weary [AND] helpful [IMPLY] shiny [PERIOD]
attentive [AND] weary [IMPLY] impatient [PERIOD]
spotless [IMPLY] horrible [PERIOD]
attentive [IMPLY] shiny [PERIOD]
weary [AND] horrible [AND] attentive [IMPLY] spotless [PERIOD]
helpless [AND] clumsy [IMPLY] horrible [PERIOD]
clumsy [AND] helpful [IMPLY] ugliest [PERIOD]
spotless [IMPLY] weary [PERIOD]
horrible [AND] shiny [AND] ugliest [IMPLY] clumsy [PERIOD]
ugliest [AND] spotless [IMPLY] comfortable [PERIOD]
ugliest [IMPLY] horrible [PERIOD]
helpless [AND] ugliest [AND] horrible [IMPLY] helpful [PERIOD]
ugliest [AND] horrible [IMPLY] helpless [PERIOD]
shiny [AND] helpful [AND] comfortable [IMPLY] ugliest [PERIOD]
weary [AND] horrible [AND] spotless [IMPLY] helpless [PERIOD]
clumsy [IMPLY] horrible [PERIOD]
helpless [AND] attentive [IMPLY] impatient [PERIOD]
horrible [IMPLY] helpful [PERIOD]
attentive [IMPLY] ugliest [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   attentive ∧ clumsy ∧ horrible ⇒ spotless
",1,1
"Facts:  Alice is stupid [PERIOD] Alice is cooperative [PERIOD] Alice is perfect [PERIOD] Alice is ugly [PERIOD] Alice is horrible [PERIOD]
Rules:
outrageous [IMPLY] stormy [PERIOD]
worrisome [AND] stormy [IMPLY] stupid [PERIOD]
enchanting [AND] inquisitive [AND] anxious [IMPLY] stupid [PERIOD]
hilarious [IMPLY] talkative [PERIOD]
elegant [AND] perfect [AND] stormy [IMPLY] nervous [PERIOD]
anxious [AND] ugly [IMPLY] cooperative [PERIOD]
cooperative [AND] hilarious [AND] elegant [IMPLY] stormy [PERIOD]
amused [AND] worrisome [IMPLY] stormy [PERIOD]
nervous [IMPLY] ugly [PERIOD]
anxious [AND] horrible [IMPLY] smart [PERIOD]
worrisome [AND] anxious [IMPLY] talkative [PERIOD]
stupid [AND] talkative [AND] long [IMPLY] inquisitive [PERIOD]
cooperative [IMPLY] long [PERIOD]
smart [AND] stormy [IMPLY] hilarious [PERIOD]
horrible [AND] hilarious [AND] cooperative [IMPLY] amused [PERIOD]
anxious [AND] aggressive [IMPLY] enchanting [PERIOD]
worrisome [AND] elegant [IMPLY] talkative [PERIOD]
nervous [IMPLY] cooperative [PERIOD]
outrageous [AND] cooperative [AND] smart [IMPLY] inquisitive [PERIOD]
worrisome [AND] smart [AND] elegant [IMPLY] enchanting [PERIOD]
stormy [AND] outrageous [IMPLY] worrisome [PERIOD]
enchanting [AND] outrageous [IMPLY] anxious [PERIOD]
elegant [AND] stupid [IMPLY] worrisome [PERIOD]
cooperative [AND] anxious [AND] ugly [IMPLY] perfect [PERIOD]
worrisome [IMPLY] stormy [PERIOD]
inquisitive [AND] outrageous [AND] stormy [IMPLY] enchanting [PERIOD]
inquisitive [IMPLY] horrible [PERIOD]
inquisitive [AND] perfect [AND] worrisome [IMPLY] hilarious [PERIOD]
smart [AND] nervous [AND] elegant [IMPLY] aggressive [PERIOD]
smart [AND] talkative [AND] outrageous [IMPLY] nervous [PERIOD]
enchanting [IMPLY] stormy [PERIOD]
nervous [IMPLY] horrible [PERIOD]
amused [AND] long [AND] perfect [IMPLY] elegant [PERIOD]
stormy [AND] amused [AND] inquisitive [IMPLY] aggressive [PERIOD]
amused [AND] aggressive [IMPLY] hilarious [PERIOD]
perfect [AND] anxious [AND] worrisome [IMPLY] elegant [PERIOD]
nervous [AND] hilarious [AND] horrible [IMPLY] ugly [PERIOD]
horrible [AND] long [IMPLY] cooperative [PERIOD]
stormy [AND] ugly [AND] worrisome [IMPLY] enchanting [PERIOD]
outrageous [IMPLY] nervous [PERIOD]
outrageous [AND] ugly [AND] amused [IMPLY] talkative [PERIOD]
talkative [IMPLY] hilarious [PERIOD]
inquisitive [AND] outrageous [AND] cooperative [IMPLY] stormy [PERIOD]
smart [IMPLY] elegant [PERIOD]
nervous [AND] anxious [IMPLY] stupid [PERIOD]
enchanting [AND] hilarious [AND] perfect [IMPLY] inquisitive [PERIOD]
worrisome [AND] cooperative [AND] long [IMPLY] aggressive [PERIOD]
enchanting [IMPLY] stupid [PERIOD]
hilarious [IMPLY] elegant [PERIOD]
smart [AND] amused [IMPLY] talkative [PERIOD]
talkative [AND] elegant [AND] perfect [IMPLY] amused [PERIOD]
stupid [AND] hilarious [AND] outrageous [IMPLY] stormy [PERIOD]
anxious [IMPLY] stormy [PERIOD]
horrible [AND] long [AND] enchanting [IMPLY] ugly [PERIOD]
hilarious [AND] stormy [AND] elegant [IMPLY] worrisome [PERIOD]
long [IMPLY] smart [PERIOD]
anxious [AND] smart [AND] elegant [IMPLY] aggressive [PERIOD]
amused [IMPLY] ugly [PERIOD]
elegant [AND] nervous [IMPLY] hilarious [PERIOD]
enchanting [AND] outrageous [AND] smart [IMPLY] cooperative [PERIOD]
smart [AND] worrisome [IMPLY] horrible [PERIOD]
inquisitive [IMPLY] enchanting [PERIOD]
enchanting [AND] amused [AND] aggressive [IMPLY] worrisome [PERIOD]
ugly [AND] perfect [IMPLY] aggressive [PERIOD]
stupid [AND] anxious [AND] long [IMPLY] worrisome [PERIOD]
worrisome [IMPLY] amused [PERIOD]
inquisitive [AND] enchanting [AND] cooperative [IMPLY] ugly [PERIOD]
talkative [IMPLY] inquisitive [PERIOD]
ugly [AND] inquisitive [AND] talkative [IMPLY] elegant [PERIOD]
horrible [AND] stormy [AND] talkative [IMPLY] smart [PERIOD]
outrageous [AND] anxious [IMPLY] amused [PERIOD]
anxious [AND] long [AND] outrageous [IMPLY] elegant [PERIOD]
aggressive [AND] horrible [AND] ugly [IMPLY] anxious [PERIOD]
smart [AND] hilarious [IMPLY] cooperative [PERIOD]
talkative [AND] smart [AND] elegant [IMPLY] horrible [PERIOD]
worrisome [AND] long [AND] hilarious [IMPLY] inquisitive [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   ugly ∧ perfect ⇒ aggressive
   aggressive ∧ horrible ∧ ugly ⇒ anxious
   anxious ⇒ stormy
",1,3
"Facts:  Alice is exuberant [PERIOD] Alice is muddy [PERIOD] Alice is beautiful [PERIOD]
Rules:
hurt [AND] sleepy [AND] disgusted [IMPLY] beautiful [PERIOD]
witty [AND] hurt [AND] sleepy [IMPLY] thoughtless [PERIOD]
hurt [AND] beautiful [AND] condemned [IMPLY] attentive [PERIOD]
beautiful [IMPLY] thoughtless [PERIOD]
hurt [AND] condemned [IMPLY] sleepy [PERIOD]
beautiful [AND] sleepy [AND] attractive [IMPLY] witty [PERIOD]
exuberant [AND] condemned [AND] attentive [IMPLY] hurt [PERIOD]
hurt [AND] exuberant [AND] attractive [IMPLY] muddy [PERIOD]
attractive [IMPLY] beautiful [PERIOD]
beautiful [AND] witty [IMPLY] exuberant [PERIOD]
attentive [IMPLY] exuberant [PERIOD]
witty [AND] muddy [IMPLY] attractive [PERIOD]
sleepy [IMPLY] attractive [PERIOD]
thoughtless [IMPLY] exuberant [PERIOD]
sleepy [IMPLY] disgusted [PERIOD]
condemned [AND] sleepy [AND] exuberant [IMPLY] witty [PERIOD]
attractive [AND] hurt [AND] thoughtless [IMPLY] witty [PERIOD]
hurt [IMPLY] witty [PERIOD]
muddy [IMPLY] exuberant [PERIOD]
exuberant [AND] beautiful [AND] condemned [IMPLY] attractive [PERIOD]
exuberant [AND] beautiful [IMPLY] sleepy [PERIOD]
exuberant [AND] attentive [IMPLY] muddy [PERIOD]
beautiful [AND] disgusted [AND] hurt [IMPLY] muddy [PERIOD]
attractive [AND] witty [IMPLY] condemned [PERIOD]
hurt [AND] witty [IMPLY] exuberant [PERIOD]
hurt [AND] thoughtless [IMPLY] muddy [PERIOD]
attentive [IMPLY] thoughtless [PERIOD]
thoughtless [AND] condemned [IMPLY] witty [PERIOD]
muddy [AND] disgusted [AND] attractive [IMPLY] attentive [PERIOD]
attentive [IMPLY] muddy [PERIOD]
exuberant [AND] muddy [IMPLY] disgusted [PERIOD]
attentive [IMPLY] attractive [PERIOD]
sleepy [AND] exuberant [AND] condemned [IMPLY] disgusted [PERIOD]
attentive [AND] witty [AND] muddy [IMPLY] beautiful [PERIOD]
disgusted [AND] sleepy [AND] hurt [IMPLY] thoughtless [PERIOD]
muddy [AND] disgusted [AND] exuberant [IMPLY] condemned [PERIOD]
sleepy [AND] disgusted [AND] attractive [IMPLY] exuberant [PERIOD]
hurt [IMPLY] beautiful [PERIOD]
witty [AND] attentive [IMPLY] beautiful [PERIOD]
sleepy [AND] exuberant [IMPLY] muddy [PERIOD]
witty [AND] sleepy [IMPLY] attractive [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   exuberant ∧ muddy ⇒ disgusted
   muddy ∧ disgusted ∧ exuberant ⇒ condemned
   exuberant ∧ muddy ⇒ disgusted
   exuberant ∧ beautiful ⇒ sleepy
   sleepy ⇒ attractive
   muddy ∧ disgusted ∧ attractive ⇒ attentive
   exuberant ∧ condemned ∧ attentive ⇒ hurt
",1,7
"Facts:  Alice is wandering [PERIOD] Alice is reserved [PERIOD]
Rules:
reserved [AND] disgusted [AND] tame [IMPLY] witty [PERIOD]
attentive [IMPLY] fancy [PERIOD]
supportive [IMPLY] loving [PERIOD]
reserved [IMPLY] tame [PERIOD]
witty [AND] wandering [IMPLY] disgusted [PERIOD]
reserved [AND] wandering [IMPLY] witty [PERIOD]
reserved [AND] witty [IMPLY] loving [PERIOD]
reserved [AND] attentive [AND] wandering [IMPLY] supportive [PERIOD]
fancy [IMPLY] stubborn [PERIOD]
loving [IMPLY] witty [PERIOD]
wandering [AND] supportive [IMPLY] witty [PERIOD]
reserved [AND] fragile [IMPLY] loving [PERIOD]
loving [AND] stubborn [AND] supportive [IMPLY] reserved [PERIOD]
fancy [IMPLY] wandering [PERIOD]
tame [AND] fancy [IMPLY] disgusted [PERIOD]
wandering [IMPLY] fancy [PERIOD]
stubborn [AND] wandering [AND] loving [IMPLY] fancy [PERIOD]
wandering [IMPLY] reserved [PERIOD]
reserved [AND] tame [AND] loving [IMPLY] witty [PERIOD]
fragile [AND] tame [AND] witty [IMPLY] stubborn [PERIOD]
attentive [AND] disgusted [AND] fragile [IMPLY] tame [PERIOD]
tame [IMPLY] supportive [PERIOD]
attentive [AND] tame [IMPLY] fancy [PERIOD]
witty [AND] wandering [IMPLY] stubborn [PERIOD]
stubborn [AND] reserved [IMPLY] loving [PERIOD]
reserved [AND] tame [AND] witty [IMPLY] attentive [PERIOD]
reserved [AND] fragile [IMPLY] tame [PERIOD]
fragile [IMPLY] reserved [PERIOD]
tame [AND] loving [IMPLY] fancy [PERIOD]
witty [AND] attentive [IMPLY] stubborn [PERIOD]
disgusted [AND] wandering [AND] reserved [IMPLY] fragile [PERIOD]
fragile [AND] reserved [AND] supportive [IMPLY] witty [PERIOD]
disgusted [AND] wandering [AND] loving [IMPLY] witty [PERIOD]
fancy [IMPLY] tame [PERIOD]
wandering [AND] fancy [IMPLY] fragile [PERIOD]
attentive [AND] loving [AND] tame [IMPLY] disgusted [PERIOD]
loving [AND] stubborn [IMPLY] attentive [PERIOD]
supportive [AND] disgusted [AND] attentive [IMPLY] wandering [PERIOD]
witty [IMPLY] wandering [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   reserved ⇒ tame
   reserved ∧ wandering ⇒ witty
   reserved ∧ tame ∧ witty ⇒ attentive
",1,3
"Facts:  Alice is weary [PERIOD]
Rules:
calm [IMPLY] strange [PERIOD]
versatile [IMPLY] hypocritical [PERIOD]
weary [IMPLY] tender [PERIOD]
versatile [AND] weary [IMPLY] shy [PERIOD]
mean [AND] calm [IMPLY] disobedient [PERIOD]
mean [IMPLY] anxious [PERIOD]
anxious [IMPLY] nervous [PERIOD]
strange [IMPLY] disobedient [PERIOD]
ugliest [AND] shy [AND] strange [IMPLY] cute [PERIOD]
disobedient [AND] bossy [IMPLY] shiny [PERIOD]
mean [AND] ugliest [AND] versatile [IMPLY] famous [PERIOD]
versatile [AND] hypocritical [IMPLY] calm [PERIOD]
shiny [AND] bossy [IMPLY] nervous [PERIOD]
strange [IMPLY] anxious [PERIOD]
mean [IMPLY] hypocritical [PERIOD]
nervous [IMPLY] mean [PERIOD]
versatile [AND] nervous [IMPLY] condemned [PERIOD]
shy [IMPLY] hypocritical [PERIOD]
bossy [AND] strange [IMPLY] broad-minded [PERIOD]
calm [AND] tender [AND] famous [IMPLY] versatile [PERIOD]
cute [AND] nervous [IMPLY] strange [PERIOD]
anxious [AND] shiny [IMPLY] mean [PERIOD]
hypocritical [IMPLY] cute [PERIOD]
condemned [AND] mean [IMPLY] shiny [PERIOD]
weary [AND] broad-minded [IMPLY] hypocritical [PERIOD]
weary [AND] cute [AND] nervous [IMPLY] condemned [PERIOD]
shy [AND] weary [IMPLY] shiny [PERIOD]
famous [AND] shiny [IMPLY] anxious [PERIOD]
calm [AND] disobedient [AND] cute [IMPLY] hypocritical [PERIOD]
versatile [AND] calm [IMPLY] tender [PERIOD]
cute [IMPLY] hypocritical [PERIOD]
calm [IMPLY] broad-minded [PERIOD]
nervous [AND] bossy [AND] calm [IMPLY] versatile [PERIOD]
broad-minded [AND] nervous [IMPLY] famous [PERIOD]
mean [AND] anxious [IMPLY] disobedient [PERIOD]
shy [AND] strange [IMPLY] hypocritical [PERIOD]
broad-minded [AND] weary [IMPLY] ugliest [PERIOD]
calm [AND] bossy [AND] ugliest [IMPLY] broad-minded [PERIOD]
strange [AND] nervous [IMPLY] bossy [PERIOD]
shiny [AND] calm [IMPLY] nervous [PERIOD]
condemned [AND] ugliest [AND] famous [IMPLY] anxious [PERIOD]
bossy [AND] disobedient [IMPLY] cute [PERIOD]
tender [IMPLY] shiny [PERIOD]
broad-minded [AND] anxious [IMPLY] bossy [PERIOD]
calm [AND] versatile [IMPLY] weary [PERIOD]
bossy [AND] cute [IMPLY] disobedient [PERIOD]
anxious [AND] broad-minded [IMPLY] versatile [PERIOD]
cute [AND] weary [IMPLY] strange [PERIOD]
cute [AND] broad-minded [AND] shiny [IMPLY] disobedient [PERIOD]
cute [IMPLY] strange [PERIOD]
condemned [IMPLY] calm [PERIOD]
hypocritical [IMPLY] nervous [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
   Cannot apply rule “versatile ⇒ hypocritical” because missing: versatile.
   Cannot apply rule “mean ⇒ hypocritical” because missing: mean.
   Cannot apply rule “shy ⇒ hypocritical” because missing: shy.
   Cannot apply rule “weary ∧ broad-minded ⇒ hypocritical” because missing: broad-minded.
   Cannot apply rule “calm ∧ disobedient ∧ cute ⇒ hypocritical” because missing: calm, disobedient, cute.
   Cannot apply rule “cute ⇒ hypocritical” because missing: cute.
   Cannot apply rule “shy ∧ strange ⇒ hypocritical” because missing: shy, strange.
",0,7
"Facts:  Alice is fine [PERIOD] Alice is talkative [PERIOD]
Rules:
shiny [AND] pleasant [IMPLY] alert [PERIOD]
frightened [AND] outstanding [IMPLY] cruel [PERIOD]
frail [AND] talkative [IMPLY] perfect [PERIOD]
fine [IMPLY] clumsy [PERIOD]
supportive [IMPLY] adorable [PERIOD]
outstanding [AND] glamorous [AND] old-fashioned [IMPLY] fine [PERIOD]
cruel [AND] pleasant [AND] bright [IMPLY] old-fashioned [PERIOD]
shiny [AND] famous [AND] cruel [IMPLY] gleaming [PERIOD]
outrageous [AND] perfect [IMPLY] clumsy [PERIOD]
excited [AND] clumsy [AND] gleaming [IMPLY] bright [PERIOD]
calm [AND] bright [IMPLY] pleasant [PERIOD]
excited [AND] outrageous [AND] polite [IMPLY] clumsy [PERIOD]
gleaming [AND] frail [AND] frightened [IMPLY] tender [PERIOD]
outstanding [AND] excited [IMPLY] clumsy [PERIOD]
tame [AND] tender [IMPLY] frightened [PERIOD]
gleaming [AND] adorable [AND] cruel [IMPLY] famous [PERIOD]
frail [AND] fine [AND] famous [IMPLY] calm [PERIOD]
tame [AND] glamorous [AND] gleaming [IMPLY] homely [PERIOD]
outrageous [AND] perfect [AND] tender [IMPLY] glamorous [PERIOD]
famous [AND] clumsy [IMPLY] tame [PERIOD]
outrageous [IMPLY] cruel [PERIOD]
glamorous [IMPLY] bright [PERIOD]
old-fashioned [AND] tame [AND] versatile [IMPLY] bright [PERIOD]
frightened [IMPLY] outrageous [PERIOD]
fancy [IMPLY] helpful [PERIOD]
clumsy [IMPLY] gleaming [PERIOD]
tense [IMPLY] famous [PERIOD]
alert [IMPLY] outstanding [PERIOD]
supportive [IMPLY] outstanding [PERIOD]
shiny [AND] tense [AND] alert [IMPLY] bright [PERIOD]
frail [AND] helpful [AND] cruel [IMPLY] fine [PERIOD]
frail [AND] cruel [AND] pleasant [IMPLY] fine [PERIOD]
fine [AND] bright [IMPLY] cruel [PERIOD]
helpful [AND] fancy [AND] tame [IMPLY] cruel [PERIOD]
shiny [IMPLY] excited [PERIOD]
calm [AND] adorable [IMPLY] talkative [PERIOD]
tender [AND] shiny [AND] homely [IMPLY] polite [PERIOD]
tender [AND] polite [AND] homely [IMPLY] supportive [PERIOD]
alert [AND] frail [AND] tame [IMPLY] polite [PERIOD]
talkative [AND] perfect [AND] outrageous [IMPLY] outstanding [PERIOD]
calm [AND] gleaming [AND] outstanding [IMPLY] famous [PERIOD]
homely [IMPLY] tense [PERIOD]
old-fashioned [AND] adorable [AND] polite [IMPLY] outrageous [PERIOD]
fine [AND] frightened [AND] talkative [IMPLY] frail [PERIOD]
gleaming [AND] outrageous [IMPLY] tense [PERIOD]
adorable [AND] homely [AND] calm [IMPLY] fine [PERIOD]
excited [IMPLY] versatile [PERIOD]
cruel [IMPLY] old-fashioned [PERIOD]
gleaming [AND] perfect [IMPLY] old-fashioned [PERIOD]
cruel [AND] glamorous [AND] pleasant [IMPLY] versatile [PERIOD]
cruel [AND] versatile [IMPLY] tame [PERIOD]
supportive [AND] tame [AND] polite [IMPLY] helpful [PERIOD]
old-fashioned [AND] perfect [IMPLY] alert [PERIOD]
old-fashioned [AND] tender [IMPLY] cruel [PERIOD]
tame [AND] versatile [IMPLY] tender [PERIOD]
glamorous [AND] tender [IMPLY] bright [PERIOD]
frail [IMPLY] helpful [PERIOD]
famous [AND] talkative [IMPLY] outstanding [PERIOD]
alert [AND] talkative [AND] old-fashioned [IMPLY] tender [PERIOD]
tender [AND] frail [IMPLY] fine [PERIOD]
calm [AND] glamorous [AND] outstanding [IMPLY] tender [PERIOD]
fine [AND] cruel [IMPLY] alert [PERIOD]
polite [AND] old-fashioned [IMPLY] adorable [PERIOD]
shiny [AND] calm [IMPLY] supportive [PERIOD]
homely [AND] outrageous [IMPLY] old-fashioned [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   Cannot apply rule “homely ⇒ tense” because missing: homely.
   fine ⇒ clumsy
   clumsy ⇒ gleaming
   Cannot apply rule “gleaming ∧ outrageous ⇒ tense” because missing: outrageous.
",0,4
"Facts:  Alice is rational [PERIOD] Alice is different [PERIOD]
Rules:
different [IMPLY] long [PERIOD]
easy [IMPLY] rational [PERIOD]
easy [AND] long [AND] lonely [IMPLY] clean [PERIOD]
clean [AND] witty [IMPLY] lonely [PERIOD]
loving [IMPLY] witty [PERIOD]
easy [AND] different [IMPLY] witty [PERIOD]
lonely [AND] witty [AND] rational [IMPLY] easy [PERIOD]
loving [AND] lonely [AND] easy [IMPLY] rational [PERIOD]
clean [AND] witty [AND] loving [IMPLY] rational [PERIOD]
lonely [AND] easy [AND] different [IMPLY] witty [PERIOD]
lonely [IMPLY] clean [PERIOD]
clean [AND] rational [AND] long [IMPLY] different [PERIOD]
different [AND] loving [AND] easy [IMPLY] witty [PERIOD]
easy [AND] clean [AND] loving [IMPLY] rational [PERIOD]
lonely [AND] rational [IMPLY] clean [PERIOD]
different [IMPLY] clean [PERIOD]
clean [AND] easy [AND] lonely [IMPLY] rational [PERIOD]
easy [IMPLY] long [PERIOD]
easy [IMPLY] loving [PERIOD]
witty [AND] lonely [IMPLY] easy [PERIOD]
easy [AND] different [AND] lonely [IMPLY] rational [PERIOD]
witty [AND] easy [IMPLY] loving [PERIOD]
easy [IMPLY] clean [PERIOD]
different [IMPLY] loving [PERIOD]
lonely [AND] different [AND] witty [IMPLY] easy [PERIOD]
clean [AND] witty [AND] rational [IMPLY] long [PERIOD]
clean [IMPLY] easy [PERIOD]
lonely [IMPLY] witty [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   different ⇒ loving
   loving ⇒ witty
",1,2
"Facts:  Alice is quaint [PERIOD] Alice is rational [PERIOD] Alice is condemned [PERIOD] Alice is bossy [PERIOD] Alice is weary [PERIOD]
Rules:
bossy [AND] quaint [AND] condemned [IMPLY] rational [PERIOD]
weary [IMPLY] rational [PERIOD]
bossy [AND] weary [AND] condemned [IMPLY] quaint [PERIOD]
bossy [AND] rational [AND] quaint [IMPLY] weary [PERIOD]
condemned [AND] weary [IMPLY] quaint [PERIOD]
bossy [AND] condemned [AND] rational [IMPLY] weary [PERIOD]
condemned [IMPLY] quaint [PERIOD]
weary [AND] condemned [AND] bossy [IMPLY] rational [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is foolish [PERIOD]
Rules:
muddy [AND] foolish [AND] tense [IMPLY] strange [PERIOD]
outrageous [AND] tense [AND] different [IMPLY] bossy [PERIOD]
cruel [AND] popular [IMPLY] muddy [PERIOD]
tense [IMPLY] muddy [PERIOD]
strange [AND] cruel [IMPLY] muddy [PERIOD]
cruel [AND] foolish [AND] muddy [IMPLY] different [PERIOD]
foolish [IMPLY] popular [PERIOD]
lucky [IMPLY] outrageous [PERIOD]
tense [AND] cruel [IMPLY] strange [PERIOD]
strange [AND] foolish [AND] muddy [IMPLY] tense [PERIOD]
lucky [AND] bossy [AND] different [IMPLY] tense [PERIOD]
popular [AND] different [AND] lucky [IMPLY] foolish [PERIOD]
different [AND] outrageous [IMPLY] muddy [PERIOD]
lucky [AND] outrageous [IMPLY] cruel [PERIOD]
outrageous [AND] cruel [IMPLY] foolish [PERIOD]
popular [IMPLY] bossy [PERIOD]
cruel [IMPLY] strange [PERIOD]
different [IMPLY] foolish [PERIOD]
strange [AND] muddy [AND] foolish [IMPLY] cruel [PERIOD]
cruel [AND] tense [IMPLY] different [PERIOD]
tense [AND] outrageous [AND] strange [IMPLY] muddy [PERIOD]
popular [AND] tense [AND] cruel [IMPLY] strange [PERIOD]
popular [AND] different [IMPLY] bossy [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   Cannot apply rule “strange ∧ foolish ∧ muddy ⇒ tense” because missing: strange, muddy.
   foolish ⇒ popular
   popular ⇒ bossy
   Cannot apply rule “lucky ∧ bossy ∧ different ⇒ tense” because missing: lucky, different.
",0,4
"Facts:  Alice is disgusted [PERIOD] Alice is quaint [PERIOD] Alice is clumsy [PERIOD] Alice is uptight [PERIOD] Alice is pleasant [PERIOD] Alice is adorable [PERIOD] Alice is charming [PERIOD] Alice is rational [PERIOD] Alice is disobedient [PERIOD] Alice is stormy [PERIOD]
Rules:
gorgeous [IMPLY] adorable [PERIOD]
disobedient [IMPLY] strange [PERIOD]
disgusted [IMPLY] comfortable [PERIOD]
rational [AND] frantic [AND] strange [IMPLY] uptight [PERIOD]
clumsy [AND] ugly [AND] frantic [IMPLY] disgusted [PERIOD]
frantic [AND] adorable [AND] clumsy [IMPLY] gorgeous [PERIOD]
friendly [AND] disobedient [AND] quaint [IMPLY] pleasant [PERIOD]
gorgeous [AND] charming [AND] spotless [IMPLY] disgusted [PERIOD]
clumsy [AND] strange [IMPLY] uptight [PERIOD]
comfortable [AND] charming [IMPLY] adorable [PERIOD]
charming [IMPLY] disobedient [PERIOD]
distinct [AND] strange [AND] frantic [IMPLY] quaint [PERIOD]
uptight [IMPLY] spotless [PERIOD]
strange [IMPLY] frantic [PERIOD]
disgusted [AND] ugly [IMPLY] frantic [PERIOD]
comfortable [AND] ugly [IMPLY] disobedient [PERIOD]
gorgeous [AND] pleasant [IMPLY] stormy [PERIOD]
adorable [AND] gorgeous [IMPLY] friendly [PERIOD]
charming [AND] distinct [AND] ugly [IMPLY] quaint [PERIOD]
disobedient [AND] distinct [AND] disgusted [IMPLY] charming [PERIOD]
ugly [IMPLY] disgusted [PERIOD]
disobedient [AND] charming [AND] disgusted [IMPLY] ugly [PERIOD]
comfortable [AND] disobedient [AND] pleasant [IMPLY] distinct [PERIOD]
stormy [AND] uptight [IMPLY] strange [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   disobedient ⇒ strange
   strange ⇒ frantic
",1,2
"Facts:  Alice is frail [PERIOD] Alice is wandering [PERIOD] Alice is foolish [PERIOD] Alice is nervous [PERIOD] Alice is elated [PERIOD] Alice is rational [PERIOD] Alice is witty [PERIOD] Alice is excited [PERIOD] Alice is loving [PERIOD] Alice is selfish [PERIOD] Alice is homely [PERIOD] Alice is perfect [PERIOD] Alice is broad-minded [PERIOD] Alice is glamorous [PERIOD] Alice is spotless [PERIOD] Alice is distinct [PERIOD] Alice is fancy [PERIOD] Alice is average [PERIOD] Alice is unpleasant [PERIOD] Alice is light [PERIOD] Alice is cute [PERIOD] Alice is helpless [PERIOD]
Rules:
helpless [AND] frail [IMPLY] cute [PERIOD]
wandering [IMPLY] cute [PERIOD]
broad-minded [IMPLY] loving [PERIOD]
broad-minded [IMPLY] homely [PERIOD]
glamorous [AND] nervous [IMPLY] ugly [PERIOD]
selfish [IMPLY] nervous [PERIOD]
broad-minded [AND] spotless [IMPLY] light [PERIOD]
average [AND] selfish [IMPLY] perfect [PERIOD]
wandering [IMPLY] broad-minded [PERIOD]
perfect [AND] nervous [IMPLY] average [PERIOD]
selfish [IMPLY] foolish [PERIOD]
selfish [IMPLY] distinct [PERIOD]
loving [AND] selfish [IMPLY] average [PERIOD]
selfish [AND] helpless [AND] broad-minded [IMPLY] distinct [PERIOD]
unpleasant [AND] light [IMPLY] ugly [PERIOD]
cute [AND] spotless [IMPLY] glamorous [PERIOD]
foolish [AND] wandering [IMPLY] nervous [PERIOD]
rational [AND] homely [IMPLY] elated [PERIOD]
cute [IMPLY] elated [PERIOD]
foolish [AND] perfect [IMPLY] fancy [PERIOD]
helpless [AND] witty [IMPLY] loving [PERIOD]
broad-minded [AND] distinct [IMPLY] wandering [PERIOD]
perfect [AND] distinct [IMPLY] unpleasant [PERIOD]
elated [IMPLY] nervous [PERIOD]
homely [AND] glamorous [AND] distinct [IMPLY] frail [PERIOD]
loving [AND] foolish [AND] homely [IMPLY] frail [PERIOD]
elated [AND] excited [AND] average [IMPLY] foolish [PERIOD]
ugly [AND] unpleasant [AND] perfect [IMPLY] helpless [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   glamorous ∧ nervous ⇒ ugly
",1,1
"Facts:  Alice is selfish [PERIOD] Alice is beautiful [PERIOD] Alice is distinct [PERIOD] Alice is naughty [PERIOD] Alice is frightened [PERIOD]
Rules:
frightened [IMPLY] sincere [PERIOD]
distinct [AND] aggressive [IMPLY] rude [PERIOD]
elated [AND] naughty [IMPLY] diplomatic [PERIOD]
exuberant [AND] talkative [IMPLY] sincere [PERIOD]
sincere [AND] spotless [IMPLY] pleasant [PERIOD]
exuberant [IMPLY] grumpy [PERIOD]
aggressive [AND] sincere [AND] spotless [IMPLY] talkative [PERIOD]
sincere [IMPLY] grumpy [PERIOD]
distinct [AND] sincere [AND] polite [IMPLY] elated [PERIOD]
rude [AND] diplomatic [IMPLY] exuberant [PERIOD]
talkative [AND] stubborn [AND] frightened [IMPLY] exuberant [PERIOD]
naughty [IMPLY] diplomatic [PERIOD]
spotless [AND] beautiful [AND] frightened [IMPLY] polite [PERIOD]
diplomatic [AND] rude [AND] pleasant [IMPLY] frightened [PERIOD]
spotless [AND] courageous [AND] distinct [IMPLY] beautiful [PERIOD]
exuberant [AND] courageous [AND] hilarious [IMPLY] rude [PERIOD]
exuberant [AND] rude [IMPLY] pleasant [PERIOD]
polite [AND] sincere [IMPLY] distinct [PERIOD]
pleasant [IMPLY] spotless [PERIOD]
rude [IMPLY] serious [PERIOD]
elated [IMPLY] grumpy [PERIOD]
distinct [AND] polite [AND] rude [IMPLY] sincere [PERIOD]
rude [AND] selfish [AND] distinct [IMPLY] stubborn [PERIOD]
polite [IMPLY] serious [PERIOD]
talkative [AND] diplomatic [IMPLY] sincere [PERIOD]
serious [AND] stubborn [IMPLY] amused [PERIOD]
selfish [AND] stubborn [AND] rude [IMPLY] talkative [PERIOD]
hilarious [IMPLY] beautiful [PERIOD]
sincere [IMPLY] beautiful [PERIOD]
rude [IMPLY] stubborn [PERIOD]
diplomatic [AND] distinct [IMPLY] serious [PERIOD]
sincere [AND] rude [IMPLY] distinct [PERIOD]
exuberant [AND] distinct [IMPLY] talkative [PERIOD]
spotless [IMPLY] aggressive [PERIOD]
exuberant [IMPLY] beautiful [PERIOD]
selfish [AND] talkative [AND] aggressive [IMPLY] stubborn [PERIOD]
exuberant [AND] rude [IMPLY] serious [PERIOD]
naughty [AND] courageous [AND] rude [IMPLY] sincere [PERIOD]
distinct [AND] spotless [AND] naughty [IMPLY] diplomatic [PERIOD]
talkative [AND] distinct [IMPLY] spotless [PERIOD]
frightened [AND] naughty [AND] polite [IMPLY] hilarious [PERIOD]
talkative [AND] exuberant [AND] diplomatic [IMPLY] distinct [PERIOD]
diplomatic [AND] aggressive [IMPLY] courageous [PERIOD]
beautiful [IMPLY] talkative [PERIOD]
stubborn [IMPLY] exuberant [PERIOD]
beautiful [AND] amused [AND] stubborn [IMPLY] aggressive [PERIOD]
selfish [AND] amused [AND] exuberant [IMPLY] rude [PERIOD]
diplomatic [IMPLY] rude [PERIOD]
talkative [IMPLY] stubborn [PERIOD]
beautiful [AND] exuberant [AND] pleasant [IMPLY] selfish [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
   naughty ⇒ diplomatic
   diplomatic ⇒ rude
   naughty ⇒ diplomatic
   rude ∧ diplomatic ⇒ exuberant
",1,4
"Facts:  Alice is talented [PERIOD]
Rules:
broad-minded [AND] aggressive [AND] naughty [IMPLY] sensible [PERIOD]
frightened [AND] glamorous [IMPLY] proud [PERIOD]
ugly [AND] confused [AND] proud [IMPLY] tidy [PERIOD]
fancy [IMPLY] modern [PERIOD]
polite [AND] aggressive [IMPLY] spotless [PERIOD]
confused [AND] ugly [IMPLY] naughty [PERIOD]
naughty [AND] fancy [IMPLY] talented [PERIOD]
ugly [IMPLY] modern [PERIOD]
fancy [IMPLY] inexpensive [PERIOD]
vivacious [IMPLY] sensible [PERIOD]
aggressive [AND] tidy [IMPLY] broad-minded [PERIOD]
ugly [IMPLY] broad-minded [PERIOD]
fancy [AND] naughty [IMPLY] gifted [PERIOD]
anxious [AND] gifted [IMPLY] courageous [PERIOD]
vivacious [AND] talented [AND] frightened [IMPLY] gifted [PERIOD]
fancy [IMPLY] horrible [PERIOD]
ugliest [IMPLY] glamorous [PERIOD]
confused [IMPLY] gifted [PERIOD]
inexpensive [AND] frightened [AND] talented [IMPLY] sensible [PERIOD]
anxious [AND] innocent [IMPLY] vivacious [PERIOD]
talented [AND] sensible [AND] aggressive [IMPLY] proud [PERIOD]
naughty [AND] gifted [IMPLY] horrible [PERIOD]
impartial [AND] horrible [AND] frightened [IMPLY] aggressive [PERIOD]
talented [AND] ugliest [AND] impartial [IMPLY] fancy [PERIOD]
tender [IMPLY] impartial [PERIOD]
worrisome [AND] ugliest [AND] talented [IMPLY] glamorous [PERIOD]
old-fashioned [AND] fancy [IMPLY] talented [PERIOD]
innocent [AND] vivacious [IMPLY] aggressive [PERIOD]
impartial [IMPLY] good [PERIOD]
sensible [AND] naughty [IMPLY] confused [PERIOD]
courageous [AND] anxious [IMPLY] impartial [PERIOD]
ugliest [AND] impartial [IMPLY] glamorous [PERIOD]
exuberant [AND] frightened [AND] good [IMPLY] glamorous [PERIOD]
exuberant [AND] ugly [IMPLY] old-fashioned [PERIOD]
impartial [IMPLY] polite [PERIOD]
polite [IMPLY] anxious [PERIOD]
tender [AND] broad-minded [IMPLY] fancy [PERIOD]
old-fashioned [AND] naughty [IMPLY] exuberant [PERIOD]
glamorous [AND] horrible [IMPLY] impartial [PERIOD]
talented [AND] glamorous [IMPLY] frightened [PERIOD]
exuberant [AND] courageous [IMPLY] naughty [PERIOD]
aggressive [IMPLY] fancy [PERIOD]
inexpensive [IMPLY] fancy [PERIOD]
worrisome [AND] gifted [IMPLY] innocent [PERIOD]
frightened [IMPLY] aggressive [PERIOD]
ugliest [IMPLY] fancy [PERIOD]
horrible [AND] proud [AND] frightened [IMPLY] gifted [PERIOD]
tender [AND] polite [AND] inexpensive [IMPLY] confused [PERIOD]
naughty [AND] old-fashioned [IMPLY] modern [PERIOD]
talented [IMPLY] tidy [PERIOD]
proud [AND] ugliest [IMPLY] worrisome [PERIOD]
gifted [AND] horrible [AND] talented [IMPLY] exuberant [PERIOD]
anxious [IMPLY] spotless [PERIOD]
worrisome [IMPLY] exuberant [PERIOD]
tidy [AND] anxious [AND] talented [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] good [PERIOD]
worrisome [IMPLY] naughty [PERIOD]
horrible [AND] polite [AND] ugliest [IMPLY] tidy [PERIOD]
inexpensive [AND] innocent [AND] frightened [IMPLY] anxious [PERIOD]
glamorous [AND] confused [AND] good [IMPLY] ugly [PERIOD]
spotless [AND] gifted [AND] broad-minded [IMPLY] naughty [PERIOD]
spotless [AND] exuberant [IMPLY] aggressive [PERIOD]
confused [IMPLY] ugliest [PERIOD]
ugliest [AND] exuberant [AND] sensible [IMPLY] old-fashioned [PERIOD]
good [AND] horrible [AND] spotless [IMPLY] tidy [PERIOD]
inexpensive [IMPLY] aggressive [PERIOD]
glamorous [AND] spotless [IMPLY] impartial [PERIOD]
worrisome [AND] naughty [IMPLY] broad-minded [PERIOD]
vivacious [IMPLY] innocent [PERIOD]
old-fashioned [AND] frightened [IMPLY] glamorous [PERIOD]
gifted [IMPLY] spotless [PERIOD]
innocent [AND] modern [IMPLY] polite [PERIOD]
spotless [IMPLY] polite [PERIOD]
naughty [AND] ugliest [AND] horrible [IMPLY] worrisome [PERIOD]
naughty [IMPLY] spotless [PERIOD]
courageous [AND] exuberant [AND] anxious [IMPLY] gifted [PERIOD]
ugliest [IMPLY] sensible [PERIOD]
polite [IMPLY] naughty [PERIOD]
inexpensive [AND] confused [IMPLY] polite [PERIOD]
proud [AND] good [IMPLY] glamorous [PERIOD]
gifted [AND] innocent [IMPLY] broad-minded [PERIOD]
worrisome [AND] old-fashioned [IMPLY] spotless [PERIOD]
good [AND] ugliest [AND] proud [IMPLY] worrisome [PERIOD]
aggressive [AND] inexpensive [IMPLY] gifted [PERIOD]
polite [AND] vivacious [AND] worrisome [IMPLY] old-fashioned [PERIOD]
anxious [AND] ugly [AND] courageous [IMPLY] worrisome [PERIOD]
exuberant [AND] aggressive [IMPLY] worrisome [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   Cannot apply rule “ugliest ⇒ glamorous” because missing: ugliest.
   Cannot apply rule “worrisome ∧ ugliest ∧ talented ⇒ glamorous” because missing: worrisome, ugliest.
   Cannot apply rule “ugliest ∧ impartial ⇒ glamorous” because missing: ugliest, impartial.
   Cannot apply rule “exuberant ∧ frightened ∧ good ⇒ glamorous” because missing: exuberant, frightened, good.
   Cannot apply rule “old-fashioned ∧ frightened ⇒ glamorous” because missing: old-fashioned, frightened.
   Cannot apply rule “proud ∧ good ⇒ glamorous” because missing: proud, good.
",0,6
"Facts:  Alice is inquisitive [PERIOD] Alice is gorgeous [PERIOD] Alice is proud [PERIOD] Alice is shiny [PERIOD] Alice is stubborn [PERIOD]
Rules:
gorgeous [AND] modern [IMPLY] wide-eyed [PERIOD]
thoughtful [IMPLY] embarrassed [PERIOD]
inquisitive [IMPLY] selfish [PERIOD]
selfish [AND] clean [AND] stubborn [IMPLY] sensible [PERIOD]
proud [AND] inexpensive [AND] clean [IMPLY] thoughtful [PERIOD]
unpleasant [IMPLY] scared [PERIOD]
shiny [AND] distinct [IMPLY] modern [PERIOD]
helpless [IMPLY] spotless [PERIOD]
clean [AND] modern [IMPLY] thoughtful [PERIOD]
inquisitive [IMPLY] agreeable [PERIOD]
tender [IMPLY] clean [PERIOD]
disgusted [IMPLY] condemned [PERIOD]
stubborn [AND] popular [IMPLY] embarrassed [PERIOD]
disgusted [IMPLY] embarrassed [PERIOD]
unpleasant [AND] embarrassed [IMPLY] inquisitive [PERIOD]
elegant [IMPLY] stubborn [PERIOD]
disgusted [AND] elegant [IMPLY] intellectual [PERIOD]
spotless [IMPLY] agreeable [PERIOD]
embarrassed [AND] popular [IMPLY] clean [PERIOD]
stubborn [AND] elegant [AND] inquisitive [IMPLY] distinct [PERIOD]
old-fashioned [AND] modern [IMPLY] distinct [PERIOD]
old-fashioned [AND] selfish [IMPLY] inquisitive [PERIOD]
tired [IMPLY] inquisitive [PERIOD]
popular [IMPLY] stubborn [PERIOD]
popular [IMPLY] condemned [PERIOD]
scared [IMPLY] stubborn [PERIOD]
proud [AND] selfish [IMPLY] distinct [PERIOD]
clean [AND] difficult [AND] tired [IMPLY] spotless [PERIOD]
intellectual [IMPLY] embarrassed [PERIOD]
proud [AND] spotless [AND] stubborn [IMPLY] selfish [PERIOD]
selfish [AND] elegant [IMPLY] inexpensive [PERIOD]
scared [AND] unpleasant [IMPLY] intellectual [PERIOD]
helpless [AND] inexpensive [IMPLY] tired [PERIOD]
inexpensive [IMPLY] old-fashioned [PERIOD]
fragile [IMPLY] proud [PERIOD]
clean [IMPLY] helpless [PERIOD]
inquisitive [AND] difficult [IMPLY] popular [PERIOD]
clean [AND] selfish [AND] sensible [IMPLY] embarrassed [PERIOD]
selfish [AND] gorgeous [AND] embarrassed [IMPLY] inquisitive [PERIOD]
selfish [AND] tired [AND] fragile [IMPLY] wide-eyed [PERIOD]
disgusted [AND] scared [AND] shiny [IMPLY] condemned [PERIOD]
inquisitive [AND] distinct [IMPLY] old-fashioned [PERIOD]
elegant [AND] embarrassed [IMPLY] distinct [PERIOD]
tired [IMPLY] shiny [PERIOD]
distinct [AND] inexpensive [IMPLY] selfish [PERIOD]
stubborn [IMPLY] shiny [PERIOD]
elegant [AND] difficult [AND] disgusted [IMPLY] spotless [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   Cannot apply rule “thoughtful ⇒ embarrassed” because missing: thoughtful.
   Cannot apply rule “stubborn ∧ popular ⇒ embarrassed” because missing: popular.
   Cannot apply rule “disgusted ⇒ embarrassed” because missing: disgusted.
   Cannot apply rule “intellectual ⇒ embarrassed” because missing: intellectual.
   inquisitive ⇒ selfish
   Cannot apply rule “clean ∧ selfish ∧ sensible ⇒ embarrassed” because missing: clean, sensible.
",0,6
"Facts:  Alice is stubborn [PERIOD]
Rules:
stubborn [AND] serious [AND] intellectual [IMPLY] fancy [PERIOD]
intellectual [IMPLY] fancy [PERIOD]
stubborn [AND] fancy [IMPLY] rational [PERIOD]
stubborn [IMPLY] rational [PERIOD]
fancy [AND] intellectual [AND] rational [IMPLY] serious [PERIOD]
serious [AND] stubborn [IMPLY] clean [PERIOD]
intellectual [IMPLY] rational [PERIOD]
rational [IMPLY] fancy [PERIOD]
fancy [AND] rational [AND] intellectual [IMPLY] stubborn [PERIOD]
rational [IMPLY] stubborn [PERIOD]
clean [AND] serious [AND] intellectual [IMPLY] rational [PERIOD]
rational [AND] serious [AND] intellectual [IMPLY] fancy [PERIOD]
fancy [AND] clean [IMPLY] serious [PERIOD]
stubborn [AND] serious [AND] clean [IMPLY] rational [PERIOD]
rational [AND] serious [IMPLY] fancy [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   stubborn ⇒ rational
   rational ⇒ fancy
   stubborn ⇒ rational
   Cannot apply rule “fancy ∧ intellectual ∧ rational ⇒ serious” because missing: intellectual.
   stubborn ⇒ rational
   rational ⇒ fancy
   Cannot apply rule “fancy ∧ clean ⇒ serious” because missing: clean.
",0,7
"Facts:  Alice is muddy [PERIOD] Alice is foolish [PERIOD]
Rules:
frightened [AND] muddy [AND] attractive [IMPLY] outstanding [PERIOD]
confused [AND] muddy [IMPLY] impartial [PERIOD]
outstanding [AND] dishonest [IMPLY] attractive [PERIOD]
stubborn [AND] supportive [IMPLY] famous [PERIOD]
impartial [IMPLY] dishonest [PERIOD]
foolish [IMPLY] diplomatic [PERIOD]
enchanting [AND] foolish [AND] frightened [IMPLY] impartial [PERIOD]
stubborn [IMPLY] thoughtless [PERIOD]
dishonest [AND] impartial [IMPLY] frightened [PERIOD]
dishonest [IMPLY] frightened [PERIOD]
foolish [AND] impartial [AND] enchanting [IMPLY] diplomatic [PERIOD]
frightened [IMPLY] famous [PERIOD]
dishonest [IMPLY] attractive [PERIOD]
enchanting [AND] famous [IMPLY] stubborn [PERIOD]
thoughtless [IMPLY] outstanding [PERIOD]
outstanding [AND] muddy [AND] diplomatic [IMPLY] confused [PERIOD]
foolish [AND] confused [AND] supportive [IMPLY] thoughtless [PERIOD]
enchanting [IMPLY] diplomatic [PERIOD]
stubborn [AND] dishonest [IMPLY] impartial [PERIOD]
diplomatic [AND] supportive [AND] stubborn [IMPLY] famous [PERIOD]
outstanding [IMPLY] dishonest [PERIOD]
thoughtless [IMPLY] attractive [PERIOD]
enchanting [IMPLY] stubborn [PERIOD]
outstanding [IMPLY] diplomatic [PERIOD]
foolish [AND] enchanting [AND] muddy [IMPLY] impartial [PERIOD]
famous [IMPLY] enchanting [PERIOD]
outstanding [IMPLY] famous [PERIOD]
foolish [IMPLY] impartial [PERIOD]
foolish [AND] enchanting [IMPLY] outstanding [PERIOD]
diplomatic [AND] dishonest [AND] outstanding [IMPLY] confused [PERIOD]
frightened [AND] supportive [AND] muddy [IMPLY] impartial [PERIOD]
thoughtless [IMPLY] diplomatic [PERIOD]
impartial [AND] thoughtless [IMPLY] foolish [PERIOD]
frightened [AND] diplomatic [IMPLY] foolish [PERIOD]
famous [AND] muddy [AND] impartial [IMPLY] supportive [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   foolish ⇒ impartial
   impartial ⇒ dishonest
   dishonest ⇒ attractive
",1,3
"Facts:  Alice is gorgeous [PERIOD] Alice is unpleasant [PERIOD] Alice is ugliest [PERIOD] Alice is comfortable [PERIOD] Alice is combative [PERIOD] Alice is inexpensive [PERIOD]
Rules:
hurt [IMPLY] frantic [PERIOD]
wide-eyed [AND] hurt [IMPLY] unpleasant [PERIOD]
comfortable [AND] gifted [IMPLY] ugliest [PERIOD]
wide-eyed [AND] comfortable [IMPLY] homely [PERIOD]
comfortable [IMPLY] bossy [PERIOD]
combative [AND] ugliest [IMPLY] frantic [PERIOD]
ugliest [AND] unpleasant [AND] wide-eyed [IMPLY] gifted [PERIOD]
bossy [AND] ugliest [IMPLY] wide-eyed [PERIOD]
ugliest [IMPLY] unpleasant [PERIOD]
gorgeous [AND] inexpensive [IMPLY] wide-eyed [PERIOD]
comfortable [AND] ugliest [IMPLY] gifted [PERIOD]
inexpensive [IMPLY] ugliest [PERIOD]
wide-eyed [AND] ugliest [IMPLY] comfortable [PERIOD]
inexpensive [IMPLY] comfortable [PERIOD]
gorgeous [AND] gifted [IMPLY] bossy [PERIOD]
combative [AND] wide-eyed [IMPLY] unpleasant [PERIOD]
inexpensive [AND] frantic [IMPLY] hurt [PERIOD]
unpleasant [IMPLY] combative [PERIOD]
gifted [AND] gorgeous [AND] frantic [IMPLY] homely [PERIOD]
wide-eyed [IMPLY] gifted [PERIOD]
wide-eyed [IMPLY] unpleasant [PERIOD]
frantic [AND] homely [AND] gorgeous [IMPLY] unpleasant [PERIOD]
inexpensive [AND] comfortable [IMPLY] gorgeous [PERIOD]
inexpensive [AND] ugliest [IMPLY] wide-eyed [PERIOD]
bossy [AND] gifted [IMPLY] frantic [PERIOD]
gifted [AND] hurt [IMPLY] gorgeous [PERIOD]
ugliest [IMPLY] inexpensive [PERIOD]
wide-eyed [IMPLY] hurt [PERIOD]
ugliest [IMPLY] comfortable [PERIOD]
wide-eyed [IMPLY] gorgeous [PERIOD]
frantic [IMPLY] hurt [PERIOD]
unpleasant [AND] inexpensive [AND] hurt [IMPLY] gorgeous [PERIOD]
combative [AND] comfortable [AND] frantic [IMPLY] inexpensive [PERIOD]
unpleasant [AND] inexpensive [IMPLY] comfortable [PERIOD]
hurt [IMPLY] homely [PERIOD]
frantic [AND] gorgeous [AND] combative [IMPLY] inexpensive [PERIOD]
gifted [IMPLY] homely [PERIOD]
gorgeous [IMPLY] wide-eyed [PERIOD]
bossy [AND] gifted [AND] wide-eyed [IMPLY] unpleasant [PERIOD]
comfortable [IMPLY] unpleasant [PERIOD]
frantic [AND] combative [AND] bossy [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] hurt [PERIOD]
homely [IMPLY] hurt [PERIOD]
gorgeous [IMPLY] gifted [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is mysterious [PERIOD] Alice is pleasant [PERIOD]
Rules:
mysterious [AND] diplomatic [IMPLY] unpleasant [PERIOD]
confused [IMPLY] shy [PERIOD]
distinct [IMPLY] elegant [PERIOD]
distinct [IMPLY] spotless [PERIOD]
diplomatic [AND] spotless [IMPLY] elegant [PERIOD]
lonely [AND] muddy [IMPLY] serious [PERIOD]
pleasant [IMPLY] bored [PERIOD]
tame [IMPLY] pleasant [PERIOD]
spotless [AND] lonely [IMPLY] plain [PERIOD]
diplomatic [AND] broad-minded [IMPLY] mysterious [PERIOD]
long [IMPLY] bored [PERIOD]
confused [AND] tame [IMPLY] spotless [PERIOD]
serious [AND] long [AND] mysterious [IMPLY] shy [PERIOD]
serious [IMPLY] elegant [PERIOD]
mysterious [IMPLY] shy [PERIOD]
bored [AND] distinct [AND] unpleasant [IMPLY] confused [PERIOD]
pleasant [AND] unpleasant [AND] tame [IMPLY] confused [PERIOD]
muddy [IMPLY] spotless [PERIOD]
long [AND] distinct [IMPLY] spotless [PERIOD]
bored [IMPLY] spotless [PERIOD]
unpleasant [IMPLY] elegant [PERIOD]
elegant [AND] mysterious [AND] diplomatic [IMPLY] bored [PERIOD]
muddy [AND] pleasant [IMPLY] mysterious [PERIOD]
serious [AND] diplomatic [AND] elegant [IMPLY] mysterious [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   Cannot apply rule “distinct ⇒ elegant” because missing: distinct.
   pleasant ⇒ bored
   bored ⇒ spotless
   Cannot apply rule “diplomatic ∧ spotless ⇒ elegant” because missing: diplomatic.
   Cannot apply rule “serious ⇒ elegant” because missing: serious.
   Cannot apply rule “unpleasant ⇒ elegant” because missing: unpleasant.
",0,6
"Facts:  Alice is calm [PERIOD] Alice is reserved [PERIOD] Alice is stormy [PERIOD] Alice is excited [PERIOD] Alice is unpleasant [PERIOD] Alice is attentive [PERIOD]
Rules:
serious [AND] proud [IMPLY] enchanting [PERIOD]
serious [IMPLY] enchanting [PERIOD]
worrisome [IMPLY] proud [PERIOD]
lucky [AND] crowded [IMPLY] hilarious [PERIOD]
worrisome [AND] scared [AND] stormy [IMPLY] disgusted [PERIOD]
calm [AND] worrisome [AND] disgusted [IMPLY] crowded [PERIOD]
serious [IMPLY] blushing [PERIOD]
blushing [IMPLY] serious [PERIOD]
serious [AND] inexpensive [AND] courageous [IMPLY] reserved [PERIOD]
muddy [IMPLY] lucky [PERIOD]
bossy [AND] versatile [AND] inexpensive [IMPLY] courageous [PERIOD]
hilarious [AND] disgusted [AND] serious [IMPLY] stormy [PERIOD]
blushing [IMPLY] stormy [PERIOD]
enchanting [AND] stormy [AND] serious [IMPLY] disgusted [PERIOD]
scared [AND] blushing [IMPLY] excited [PERIOD]
enchanting [IMPLY] courageous [PERIOD]
rational [IMPLY] bossy [PERIOD]
calm [IMPLY] excited [PERIOD]
scared [IMPLY] serious [PERIOD]
calm [AND] unpleasant [IMPLY] courageous [PERIOD]
muddy [AND] hilarious [IMPLY] stormy [PERIOD]
rational [AND] versatile [IMPLY] enchanting [PERIOD]
versatile [AND] reserved [AND] blushing [IMPLY] crowded [PERIOD]
enchanting [IMPLY] disgusted [PERIOD]
excited [IMPLY] unpleasant [PERIOD]
disgusted [AND] serious [AND] blushing [IMPLY] muddy [PERIOD]
worrisome [AND] serious [IMPLY] stormy [PERIOD]
disgusted [IMPLY] scared [PERIOD]
scared [AND] aggressive [IMPLY] lucky [PERIOD]
reserved [AND] rational [IMPLY] scared [PERIOD]
proud [AND] enchanting [IMPLY] attentive [PERIOD]
courageous [IMPLY] rational [PERIOD]
inexpensive [AND] bossy [IMPLY] disgusted [PERIOD]
aggressive [AND] attentive [AND] inexpensive [IMPLY] hilarious [PERIOD]
stormy [AND] versatile [IMPLY] scared [PERIOD]
muddy [IMPLY] disgusted [PERIOD]
bossy [IMPLY] proud [PERIOD]
aggressive [AND] muddy [AND] worrisome [IMPLY] lucky [PERIOD]
excited [AND] versatile [IMPLY] stormy [PERIOD]
courageous [AND] reserved [AND] versatile [IMPLY] stormy [PERIOD]
enchanting [IMPLY] rational [PERIOD]
bossy [AND] enchanting [AND] rational [IMPLY] stormy [PERIOD]
scared [AND] aggressive [AND] stormy [IMPLY] lucky [PERIOD]
rational [AND] crowded [IMPLY] serious [PERIOD]
aggressive [AND] inexpensive [AND] hilarious [IMPLY] worrisome [PERIOD]
attentive [IMPLY] unpleasant [PERIOD]
inexpensive [AND] rational [AND] excited [IMPLY] calm [PERIOD]
worrisome [IMPLY] unpleasant [PERIOD]
muddy [IMPLY] rational [PERIOD]
calm [AND] aggressive [AND] stormy [IMPLY] excited [PERIOD]
bossy [IMPLY] muddy [PERIOD]
muddy [AND] scared [AND] versatile [IMPLY] serious [PERIOD]
excited [AND] rational [AND] bossy [IMPLY] muddy [PERIOD]
versatile [AND] worrisome [IMPLY] crowded [PERIOD]
reserved [AND] unpleasant [AND] muddy [IMPLY] rational [PERIOD]
reserved [AND] proud [IMPLY] blushing [PERIOD]
worrisome [AND] rational [AND] disgusted [IMPLY] blushing [PERIOD]
attentive [AND] aggressive [IMPLY] versatile [PERIOD]
worrisome [IMPLY] stormy [PERIOD]
calm [AND] aggressive [IMPLY] inexpensive [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   calm ∧ unpleasant ⇒ courageous
   courageous ⇒ rational
   rational ⇒ bossy
   bossy ⇒ proud
   reserved ∧ proud ⇒ blushing
",1,5
"Facts:  Alice is long [PERIOD]
Rules:
diplomatic [IMPLY] comfortable [PERIOD]
attentive [AND] agreeable [AND] comfortable [IMPLY] rude [PERIOD]
light [AND] easy [AND] amused [IMPLY] cruel [PERIOD]
fearless [AND] attentive [AND] diplomatic [IMPLY] troubled [PERIOD]
grumpy [AND] outstanding [IMPLY] curious [PERIOD]
cruel [IMPLY] amused [PERIOD]
cruel [AND] elated [AND] agreeable [IMPLY] stubborn [PERIOD]
agreeable [AND] diplomatic [AND] fearless [IMPLY] elated [PERIOD]
elated [AND] tidy [AND] attractive [IMPLY] nervous [PERIOD]
amused [IMPLY] versatile [PERIOD]
outstanding [AND] troubled [IMPLY] attentive [PERIOD]
helpless [AND] confused [AND] amused [IMPLY] stubborn [PERIOD]
cute [IMPLY] grumpy [PERIOD]
elated [AND] smart [AND] confused [IMPLY] cruel [PERIOD]
nervous [AND] elated [IMPLY] cute [PERIOD]
cute [AND] long [IMPLY] nervous [PERIOD]
curious [AND] versatile [IMPLY] comfortable [PERIOD]
grumpy [IMPLY] confused [PERIOD]
frail [IMPLY] fearless [PERIOD]
confused [AND] rude [IMPLY] frail [PERIOD]
outstanding [AND] confused [AND] cruel [IMPLY] diplomatic [PERIOD]
elated [AND] long [AND] tidy [IMPLY] smart [PERIOD]
confused [IMPLY] easy [PERIOD]
fearless [AND] rude [AND] cruel [IMPLY] cute [PERIOD]
comfortable [AND] diplomatic [AND] cute [IMPLY] amused [PERIOD]
easy [IMPLY] helpless [PERIOD]
agreeable [AND] tidy [IMPLY] easy [PERIOD]
nervous [IMPLY] versatile [PERIOD]
grumpy [AND] diplomatic [IMPLY] outstanding [PERIOD]
attentive [AND] confused [AND] curious [IMPLY] easy [PERIOD]
scared [AND] agreeable [AND] confused [IMPLY] smart [PERIOD]
cruel [AND] versatile [AND] outstanding [IMPLY] light [PERIOD]
stubborn [IMPLY] fearless [PERIOD]
scared [AND] attractive [IMPLY] cute [PERIOD]
comfortable [IMPLY] light [PERIOD]
rude [AND] cruel [IMPLY] cute [PERIOD]
light [AND] agreeable [AND] versatile [IMPLY] diplomatic [PERIOD]
outstanding [AND] confused [AND] curious [IMPLY] elated [PERIOD]
stubborn [AND] cruel [AND] easy [IMPLY] frail [PERIOD]
stubborn [IMPLY] agreeable [PERIOD]
amused [IMPLY] stubborn [PERIOD]
agreeable [AND] diplomatic [IMPLY] scared [PERIOD]
attentive [IMPLY] versatile [PERIOD]
frail [IMPLY] rude [PERIOD]
amused [AND] stubborn [AND] troubled [IMPLY] smart [PERIOD]
attentive [IMPLY] light [PERIOD]
rude [IMPLY] cute [PERIOD]
elated [AND] attractive [IMPLY] outstanding [PERIOD]
tidy [AND] cruel [AND] grumpy [IMPLY] light [PERIOD]
long [AND] attractive [IMPLY] tidy [PERIOD]
comfortable [AND] elated [IMPLY] cruel [PERIOD]
elated [AND] attentive [IMPLY] comfortable [PERIOD]
grumpy [AND] attentive [AND] frail [IMPLY] attractive [PERIOD]
stubborn [AND] grumpy [AND] diplomatic [IMPLY] fearless [PERIOD]
cruel [AND] agreeable [IMPLY] long [PERIOD]
smart [AND] fearless [IMPLY] cute [PERIOD]
amused [AND] helpless [AND] attentive [IMPLY] easy [PERIOD]
attentive [AND] frail [IMPLY] helpless [PERIOD]
fearless [AND] light [IMPLY] attractive [PERIOD]
smart [AND] agreeable [IMPLY] long [PERIOD]
comfortable [AND] nervous [AND] easy [IMPLY] diplomatic [PERIOD]
tidy [AND] attractive [AND] smart [IMPLY] versatile [PERIOD]
diplomatic [AND] confused [IMPLY] outstanding [PERIOD]
confused [AND] elated [IMPLY] frail [PERIOD]
fearless [IMPLY] outstanding [PERIOD]
nervous [AND] easy [IMPLY] long [PERIOD]
nervous [IMPLY] rude [PERIOD]
frail [AND] troubled [IMPLY] light [PERIOD]
confused [AND] easy [IMPLY] diplomatic [PERIOD]
outstanding [AND] confused [AND] scared [IMPLY] light [PERIOD]
helpless [AND] attentive [AND] frail [IMPLY] outstanding [PERIOD]
scared [AND] cruel [AND] easy [IMPLY] helpless [PERIOD]
diplomatic [AND] troubled [IMPLY] cruel [PERIOD]
elated [AND] easy [IMPLY] confused [PERIOD]
nervous [IMPLY] grumpy [PERIOD]
frail [IMPLY] cruel [PERIOD]
fearless [IMPLY] light [PERIOD]
fearless [IMPLY] smart [PERIOD]
elated [IMPLY] tidy [PERIOD]
rude [AND] cruel [AND] amused [IMPLY] light [PERIOD]
grumpy [AND] troubled [AND] fearless [IMPLY] diplomatic [PERIOD]
agreeable [AND] cute [AND] scared [IMPLY] versatile [PERIOD]
diplomatic [AND] easy [AND] troubled [IMPLY] amused [PERIOD]
cute [AND] nervous [AND] grumpy [IMPLY] smart [PERIOD]
fearless [AND] elated [IMPLY] outstanding [PERIOD]
tidy [IMPLY] grumpy [PERIOD]
attractive [AND] light [AND] agreeable [IMPLY] elated [PERIOD]
attentive [AND] attractive [AND] troubled [IMPLY] amused [PERIOD]
fearless [AND] scared [IMPLY] cruel [PERIOD]
rude [AND] agreeable [AND] comfortable [IMPLY] fearless [PERIOD]
fearless [AND] confused [IMPLY] cute [PERIOD]
smart [AND] amused [IMPLY] easy [PERIOD]
versatile [AND] easy [IMPLY] attractive [PERIOD]
easy [AND] attentive [AND] scared [IMPLY] tidy [PERIOD]
versatile [AND] helpless [IMPLY] outstanding [PERIOD]
curious [IMPLY] helpless [PERIOD]
grumpy [AND] agreeable [AND] frail [IMPLY] cruel [PERIOD]
nervous [AND] attentive [AND] frail [IMPLY] curious [PERIOD]
Query: Alice is cruel [PERIOD]","Proof chain:
   Cannot apply rule “light ∧ easy ∧ amused ⇒ cruel” because missing: light, easy, amused.
   Cannot apply rule “elated ∧ smart ∧ confused ⇒ cruel” because missing: elated, smart, confused.
   Cannot apply rule “comfortable ∧ elated ⇒ cruel” because missing: comfortable, elated.
   Cannot apply rule “diplomatic ∧ troubled ⇒ cruel” because missing: diplomatic, troubled.
   Cannot apply rule “frail ⇒ cruel” because missing: frail.
   Cannot apply rule “fearless ∧ scared ⇒ cruel” because missing: fearless, scared.
   Cannot apply rule “grumpy ∧ agreeable ∧ frail ⇒ cruel” because missing: grumpy, agreeable, frail.
",0,7
"Facts:  Alice is uptight [PERIOD] Alice is versatile [PERIOD] Alice is pessimistic [PERIOD] Alice is cooperative [PERIOD]
Rules:
cooperative [IMPLY] courageous [PERIOD]
pleasant [IMPLY] adorable [PERIOD]
curious [AND] weary [AND] adorable [IMPLY] gleaming [PERIOD]
serious [AND] uptight [AND] adorable [IMPLY] wandering [PERIOD]
versatile [AND] cooperative [AND] powerful [IMPLY] courageous [PERIOD]
pessimistic [AND] versatile [AND] powerful [IMPLY] messy [PERIOD]
quaint [AND] serious [AND] helpless [IMPLY] powerful [PERIOD]
uptight [AND] foolish [IMPLY] wandering [PERIOD]
versatile [AND] lonely [IMPLY] uptight [PERIOD]
uptight [AND] pleasant [AND] curious [IMPLY] lonely [PERIOD]
messy [AND] pleasant [IMPLY] wandering [PERIOD]
wandering [AND] curious [AND] helpless [IMPLY] gleaming [PERIOD]
uptight [AND] versatile [AND] courageous [IMPLY] helpless [PERIOD]
weary [AND] tame [IMPLY] foolish [PERIOD]
tame [AND] lonely [IMPLY] gleaming [PERIOD]
cooperative [AND] tame [AND] curious [IMPLY] pleasant [PERIOD]
courageous [AND] weary [IMPLY] bossy [PERIOD]
courageous [IMPLY] bossy [PERIOD]
lonely [AND] wandering [IMPLY] tame [PERIOD]
messy [AND] wandering [IMPLY] helpless [PERIOD]
messy [AND] bossy [IMPLY] powerful [PERIOD]
gleaming [AND] foolish [AND] messy [IMPLY] quaint [PERIOD]
courageous [IMPLY] pessimistic [PERIOD]
pleasant [IMPLY] foolish [PERIOD]
uptight [IMPLY] lonely [PERIOD]
lonely [IMPLY] pleasant [PERIOD]
helpless [AND] pleasant [AND] uptight [IMPLY] pessimistic [PERIOD]
pessimistic [AND] gleaming [IMPLY] rational [PERIOD]
serious [AND] quaint [IMPLY] powerful [PERIOD]
versatile [IMPLY] messy [PERIOD]
pleasant [IMPLY] rational [PERIOD]
weary [IMPLY] messy [PERIOD]
courageous [IMPLY] adorable [PERIOD]
adorable [IMPLY] curious [PERIOD]
gleaming [AND] wandering [AND] versatile [IMPLY] uptight [PERIOD]
lonely [AND] foolish [AND] cooperative [IMPLY] pleasant [PERIOD]
pleasant [AND] uptight [IMPLY] foolish [PERIOD]
pleasant [IMPLY] wandering [PERIOD]
helpless [AND] quaint [IMPLY] bossy [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   cooperative ⇒ courageous
",1,1
"Facts:  Alice is dishonest [PERIOD] Alice is glamorous [PERIOD] Alice is helpful [PERIOD] Alice is confident [PERIOD] Alice is shiny [PERIOD]
Rules:
pleasant [AND] homely [IMPLY] shy [PERIOD]
clumsy [AND] pleasant [IMPLY] average [PERIOD]
straightforward [AND] confident [AND] glamorous [IMPLY] fearless [PERIOD]
worried [AND] fearless [AND] talented [IMPLY] shiny [PERIOD]
difficult [AND] dishonest [IMPLY] outstanding [PERIOD]
fearless [AND] outstanding [AND] fragile [IMPLY] pleasant [PERIOD]
fearless [AND] helpful [IMPLY] shiny [PERIOD]
glamorous [AND] shy [IMPLY] outstanding [PERIOD]
courageous [IMPLY] sleepy [PERIOD]
talented [AND] outstanding [AND] sincere [IMPLY] elated [PERIOD]
outstanding [AND] pleasant [AND] talented [IMPLY] straightforward [PERIOD]
worried [AND] homely [IMPLY] average [PERIOD]
fearless [AND] talented [IMPLY] worried [PERIOD]
average [AND] elated [IMPLY] tame [PERIOD]
clumsy [AND] shiny [AND] talented [IMPLY] fearless [PERIOD]
outstanding [IMPLY] sleepy [PERIOD]
outstanding [AND] pleasant [AND] modern [IMPLY] confident [PERIOD]
glamorous [AND] worried [AND] difficult [IMPLY] shiny [PERIOD]
sleepy [IMPLY] tidy [PERIOD]
clumsy [IMPLY] outstanding [PERIOD]
worried [AND] pleasant [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] shiny [PERIOD]
sincere [AND] shiny [IMPLY] fragile [PERIOD]
tame [AND] worried [IMPLY] sleepy [PERIOD]
talented [AND] helpful [AND] homely [IMPLY] pleasant [PERIOD]
sleepy [IMPLY] straightforward [PERIOD]
worried [AND] sleepy [AND] average [IMPLY] elated [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   Cannot apply rule “clumsy ∧ pleasant ⇒ average” because missing: clumsy, pleasant.
   Cannot apply rule “worried ∧ homely ⇒ average” because missing: worried, homely.
",0,2
"Facts:  Alice is frightened [PERIOD] Alice is inquisitive [PERIOD] Alice is attentive [PERIOD] Alice is cruel [PERIOD] Alice is worried [PERIOD] Alice is tame [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
inquisitive [IMPLY] hurt [PERIOD]
hurt [IMPLY] attentive [PERIOD]
quaint [AND] hurt [IMPLY] easy [PERIOD]
comfortable [AND] cruel [AND] easy [IMPLY] tame [PERIOD]
uptight [IMPLY] talented [PERIOD]
frightened [IMPLY] witty [PERIOD]
cruel [AND] outstanding [AND] talented [IMPLY] tame [PERIOD]
witty [AND] hurt [AND] worried [IMPLY] comfortable [PERIOD]
zealous [IMPLY] tame [PERIOD]
witty [AND] attentive [AND] quaint [IMPLY] cruel [PERIOD]
attractive [AND] easy [IMPLY] cruel [PERIOD]
quaint [IMPLY] witty [PERIOD]
zealous [AND] attentive [IMPLY] frightened [PERIOD]
cruel [AND] easy [IMPLY] talented [PERIOD]
talented [AND] comfortable [AND] witty [IMPLY] frightened [PERIOD]
witty [IMPLY] attentive [PERIOD]
worried [AND] talented [AND] bad-tempered [IMPLY] quaint [PERIOD]
attractive [IMPLY] talented [PERIOD]
uptight [IMPLY] bad-tempered [PERIOD]
cruel [AND] tame [AND] frightened [IMPLY] attentive [PERIOD]
bad-tempered [AND] cruel [AND] attractive [IMPLY] outstanding [PERIOD]
zealous [AND] uptight [AND] tame [IMPLY] selfish [PERIOD]
zealous [IMPLY] bad-tempered [PERIOD]
selfish [AND] talented [IMPLY] witty [PERIOD]
attractive [AND] zealous [AND] witty [IMPLY] worried [PERIOD]
easy [AND] attentive [AND] witty [IMPLY] worried [PERIOD]
quaint [AND] tame [AND] worried [IMPLY] attentive [PERIOD]
easy [AND] attentive [AND] uptight [IMPLY] witty [PERIOD]
bad-tempered [IMPLY] worried [PERIOD]
cruel [AND] attractive [IMPLY] zealous [PERIOD]
uptight [IMPLY] cruel [PERIOD]
comfortable [AND] easy [IMPLY] talented [PERIOD]
witty [AND] outstanding [AND] cruel [IMPLY] bad-tempered [PERIOD]
talented [AND] tame [IMPLY] attentive [PERIOD]
outstanding [IMPLY] tame [PERIOD]
worried [AND] attractive [AND] hurt [IMPLY] attentive [PERIOD]
quaint [AND] witty [AND] wide-eyed [IMPLY] cruel [PERIOD]
attractive [AND] worried [AND] outstanding [IMPLY] inquisitive [PERIOD]
hurt [IMPLY] zealous [PERIOD]
attractive [AND] quaint [IMPLY] cruel [PERIOD]
easy [AND] attentive [IMPLY] cruel [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
   Cannot apply rule “uptight ⇒ talented” because missing: uptight.
   Cannot apply rule “cruel ∧ easy ⇒ talented” because missing: easy.
   Cannot apply rule “attractive ⇒ talented” because missing: attractive.
   frightened ⇒ witty
   inquisitive ⇒ hurt
   witty ∧ hurt ∧ worried ⇒ comfortable
   Cannot apply rule “comfortable ∧ easy ⇒ talented” because missing: easy.
",0,7
"Facts: 
Rules:
famous [AND] bossy [AND] wandering [IMPLY] nervous [PERIOD]
nervous [IMPLY] glamorous [PERIOD]
old-fashioned [IMPLY] enchanting [PERIOD]
bossy [IMPLY] nervous [PERIOD]
bossy [IMPLY] wandering [PERIOD]
wandering [AND] famous [IMPLY] bossy [PERIOD]
old-fashioned [AND] famous [IMPLY] enchanting [PERIOD]
nervous [AND] famous [IMPLY] old-fashioned [PERIOD]
enchanting [IMPLY] famous [PERIOD]
old-fashioned [AND] famous [IMPLY] nervous [PERIOD]
bossy [AND] famous [AND] wandering [IMPLY] enchanting [PERIOD]
wandering [AND] glamorous [AND] famous [IMPLY] bossy [PERIOD]
famous [AND] bossy [AND] nervous [IMPLY] glamorous [PERIOD]
old-fashioned [AND] wandering [AND] nervous [IMPLY] glamorous [PERIOD]
old-fashioned [AND] bossy [IMPLY] nervous [PERIOD]
wandering [AND] glamorous [IMPLY] nervous [PERIOD]
glamorous [AND] nervous [IMPLY] enchanting [PERIOD]
old-fashioned [IMPLY] famous [PERIOD]
enchanting [AND] nervous [IMPLY] wandering [PERIOD]
wandering [AND] glamorous [IMPLY] bossy [PERIOD]
glamorous [IMPLY] wandering [PERIOD]
glamorous [AND] famous [AND] nervous [IMPLY] wandering [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   Cannot apply rule “old-fashioned ⇒ enchanting” because missing: old-fashioned.
   Cannot apply rule “old-fashioned ∧ famous ⇒ enchanting” because missing: old-fashioned, famous.
   Cannot apply rule “bossy ∧ famous ∧ wandering ⇒ enchanting” because missing: bossy, famous, wandering.
   Cannot apply rule “glamorous ∧ nervous ⇒ enchanting” because missing: glamorous, nervous.
",0,4
"Facts:  Alice is ugly [PERIOD] Alice is condemned [PERIOD] Alice is confused [PERIOD]
Rules:
helpless [AND] strange [AND] confused [IMPLY] gleaming [PERIOD]
excited [AND] perfect [IMPLY] helpless [PERIOD]
cruel [IMPLY] helpless [PERIOD]
friendly [IMPLY] confused [PERIOD]
helpless [AND] strange [IMPLY] gleaming [PERIOD]
excited [AND] condemned [IMPLY] gleaming [PERIOD]
perfect [IMPLY] strange [PERIOD]
confused [AND] strange [IMPLY] condemned [PERIOD]
muddy [AND] helpless [AND] spotless [IMPLY] cruel [PERIOD]
confused [IMPLY] lucky [PERIOD]
condemned [AND] cruel [IMPLY] friendly [PERIOD]
friendly [AND] muddy [AND] spotless [IMPLY] helpless [PERIOD]
cruel [AND] helpless [AND] ugly [IMPLY] lucky [PERIOD]
strange [AND] confused [IMPLY] lucky [PERIOD]
cruel [AND] condemned [AND] ugly [IMPLY] friendly [PERIOD]
gleaming [IMPLY] helpless [PERIOD]
helpless [IMPLY] spotless [PERIOD]
excited [IMPLY] condemned [PERIOD]
strange [AND] helpless [AND] ugly [IMPLY] confused [PERIOD]
perfect [AND] condemned [AND] confused [IMPLY] ugly [PERIOD]
gleaming [AND] condemned [IMPLY] ugly [PERIOD]
cruel [AND] ugly [IMPLY] muddy [PERIOD]
helpless [AND] friendly [IMPLY] cruel [PERIOD]
ugly [IMPLY] excited [PERIOD]
condemned [AND] strange [IMPLY] friendly [PERIOD]
spotless [AND] gleaming [IMPLY] friendly [PERIOD]
strange [IMPLY] confused [PERIOD]
gleaming [IMPLY] condemned [PERIOD]
excited [AND] lucky [IMPLY] spotless [PERIOD]
muddy [AND] condemned [AND] cruel [IMPLY] lucky [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   ugly ⇒ excited
   confused ⇒ lucky
   excited ∧ lucky ⇒ spotless
",1,3
"Facts: 
Rules:
vivacious [AND] beautiful [AND] versatile [IMPLY] combative [PERIOD]
victorious [AND] combative [IMPLY] beautiful [PERIOD]
vivacious [IMPLY] combative [PERIOD]
weary [AND] victorious [IMPLY] beautiful [PERIOD]
combative [AND] vivacious [IMPLY] versatile [PERIOD]
beautiful [IMPLY] combative [PERIOD]
versatile [AND] weary [IMPLY] beautiful [PERIOD]
beautiful [AND] grumpy [AND] vivacious [IMPLY] combative [PERIOD]
vivacious [AND] versatile [AND] grumpy [IMPLY] victorious [PERIOD]
combative [AND] grumpy [AND] weary [IMPLY] vivacious [PERIOD]
vivacious [AND] versatile [AND] combative [IMPLY] victorious [PERIOD]
versatile [AND] combative [IMPLY] weary [PERIOD]
weary [AND] grumpy [IMPLY] combative [PERIOD]
vivacious [IMPLY] beautiful [PERIOD]
weary [IMPLY] grumpy [PERIOD]
beautiful [AND] combative [IMPLY] vivacious [PERIOD]
grumpy [AND] versatile [IMPLY] beautiful [PERIOD]
beautiful [AND] versatile [IMPLY] vivacious [PERIOD]
combative [AND] grumpy [IMPLY] weary [PERIOD]
grumpy [IMPLY] victorious [PERIOD]
versatile [AND] victorious [IMPLY] vivacious [PERIOD]
grumpy [AND] beautiful [IMPLY] combative [PERIOD]
grumpy [AND] beautiful [IMPLY] victorious [PERIOD]
vivacious [IMPLY] versatile [PERIOD]
vivacious [IMPLY] victorious [PERIOD]
grumpy [AND] victorious [AND] beautiful [IMPLY] versatile [PERIOD]
versatile [AND] weary [IMPLY] combative [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   Cannot apply rule “vivacious ∧ beautiful ∧ versatile ⇒ combative” because missing: vivacious, beautiful, versatile.
   Cannot apply rule “vivacious ⇒ combative” because missing: vivacious.
   Cannot apply rule “beautiful ⇒ combative” because missing: beautiful.
   Cannot apply rule “beautiful ∧ grumpy ∧ vivacious ⇒ combative” because missing: beautiful, grumpy, vivacious.
   Cannot apply rule “weary ∧ grumpy ⇒ combative” because missing: weary, grumpy.
   Cannot apply rule “grumpy ∧ beautiful ⇒ combative” because missing: grumpy, beautiful.
   Cannot apply rule “versatile ∧ weary ⇒ combative” because missing: versatile, weary.
",0,7
"Facts:  Alice is comfortable [PERIOD] Alice is clumsy [PERIOD] Alice is anxious [PERIOD] Alice is excited [PERIOD] Alice is stormy [PERIOD] Alice is tense [PERIOD] Alice is outrageous [PERIOD] Alice is light [PERIOD] Alice is impartial [PERIOD] Alice is different [PERIOD]
Rules:
tense [AND] different [AND] impartial [IMPLY] excited [PERIOD]
tense [IMPLY] different [PERIOD]
comfortable [AND] light [IMPLY] anxious [PERIOD]
tense [IMPLY] outrageous [PERIOD]
impartial [AND] anxious [AND] light [IMPLY] different [PERIOD]
tired [AND] comfortable [IMPLY] excited [PERIOD]
clumsy [AND] outrageous [IMPLY] impartial [PERIOD]
stormy [IMPLY] impartial [PERIOD]
excited [IMPLY] stormy [PERIOD]
tired [AND] stormy [IMPLY] anxious [PERIOD]
impartial [AND] different [IMPLY] clumsy [PERIOD]
impartial [AND] outrageous [AND] different [IMPLY] clumsy [PERIOD]
excited [AND] tired [IMPLY] anxious [PERIOD]
different [AND] anxious [IMPLY] excited [PERIOD]
tired [AND] clumsy [IMPLY] excited [PERIOD]
tense [AND] stormy [AND] anxious [IMPLY] different [PERIOD]
different [AND] tense [AND] impartial [IMPLY] light [PERIOD]
comfortable [AND] excited [AND] clumsy [IMPLY] light [PERIOD]
tense [IMPLY] clumsy [PERIOD]
excited [IMPLY] tired [PERIOD]
comfortable [AND] tired [IMPLY] impartial [PERIOD]
different [AND] comfortable [AND] light [IMPLY] tense [PERIOD]
stormy [AND] tense [AND] different [IMPLY] light [PERIOD]
light [AND] outrageous [AND] anxious [IMPLY] impartial [PERIOD]
outrageous [IMPLY] light [PERIOD]
comfortable [AND] tense [AND] clumsy [IMPLY] anxious [PERIOD]
light [AND] excited [AND] comfortable [IMPLY] tired [PERIOD]
outrageous [AND] stormy [AND] light [IMPLY] excited [PERIOD]
stormy [AND] excited [IMPLY] clumsy [PERIOD]
outrageous [AND] clumsy [AND] stormy [IMPLY] tense [PERIOD]
different [IMPLY] excited [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is crowded [PERIOD]
Rules:
intellectual [AND] sensible [AND] crowded [IMPLY] weary [PERIOD]
crowded [AND] amused [AND] troubled [IMPLY] weary [PERIOD]
amused [AND] sensible [IMPLY] weary [PERIOD]
weary [IMPLY] sensible [PERIOD]
intellectual [IMPLY] amused [PERIOD]
crowded [AND] troubled [AND] weary [IMPLY] intellectual [PERIOD]
amused [IMPLY] sensible [PERIOD]
amused [AND] troubled [AND] intellectual [IMPLY] weary [PERIOD]
troubled [AND] weary [IMPLY] amused [PERIOD]
troubled [AND] amused [AND] weary [IMPLY] intellectual [PERIOD]
amused [AND] intellectual [IMPLY] crowded [PERIOD]
amused [AND] troubled [IMPLY] weary [PERIOD]
troubled [AND] crowded [AND] amused [IMPLY] intellectual [PERIOD]
weary [IMPLY] amused [PERIOD]
intellectual [AND] crowded [IMPLY] troubled [PERIOD]
troubled [IMPLY] sensible [PERIOD]
amused [AND] sensible [IMPLY] intellectual [PERIOD]
sensible [AND] intellectual [IMPLY] amused [PERIOD]
intellectual [AND] weary [AND] troubled [IMPLY] amused [PERIOD]
amused [IMPLY] weary [PERIOD]
intellectual [AND] weary [IMPLY] troubled [PERIOD]
intellectual [AND] crowded [IMPLY] amused [PERIOD]
crowded [AND] weary [AND] amused [IMPLY] intellectual [PERIOD]
crowded [AND] troubled [IMPLY] sensible [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   Cannot apply rule “intellectual ⇒ amused” because missing: intellectual.
   Cannot apply rule “troubled ∧ weary ⇒ amused” because missing: troubled, weary.
   Cannot apply rule “weary ⇒ amused” because missing: weary.
   Cannot apply rule “sensible ∧ intellectual ⇒ amused” because missing: sensible, intellectual.
   Cannot apply rule “intellectual ∧ weary ∧ troubled ⇒ amused” because missing: intellectual, weary, troubled.
   Cannot apply rule “intellectual ∧ crowded ⇒ amused” because missing: intellectual.
",0,6
"Facts:  Alice is ugly [PERIOD] Alice is shiny [PERIOD] Alice is powerful [PERIOD] Alice is gleaming [PERIOD] Alice is busy [PERIOD] Alice is proud [PERIOD] Alice is disobedient [PERIOD] Alice is lonely [PERIOD] Alice is thoughtful [PERIOD] Alice is diplomatic [PERIOD]
Rules:
shiny [IMPLY] talented [PERIOD]
polite [IMPLY] courageous [PERIOD]
talented [AND] bad-tempered [AND] gorgeous [IMPLY] busy [PERIOD]
agreeable [AND] courageous [AND] hypocritical [IMPLY] wandering [PERIOD]
shiny [IMPLY] ugly [PERIOD]
shiny [AND] helpless [AND] polite [IMPLY] diplomatic [PERIOD]
lonely [IMPLY] courageous [PERIOD]
polite [IMPLY] busy [PERIOD]
gleaming [AND] powerful [AND] intellectual [IMPLY] wandering [PERIOD]
busy [AND] talented [IMPLY] disobedient [PERIOD]
gorgeous [AND] ugly [AND] proud [IMPLY] gleaming [PERIOD]
polite [AND] hypocritical [IMPLY] disobedient [PERIOD]
intellectual [IMPLY] powerful [PERIOD]
talented [AND] bad-tempered [IMPLY] elated [PERIOD]
intellectual [AND] ugly [AND] hypocritical [IMPLY] elegant [PERIOD]
elated [IMPLY] diplomatic [PERIOD]
agreeable [AND] polite [AND] hypocritical [IMPLY] busy [PERIOD]
bad-tempered [AND] hypocritical [AND] proud [IMPLY] diplomatic [PERIOD]
talented [AND] elegant [IMPLY] thoughtful [PERIOD]
shy [AND] intellectual [AND] hypocritical [IMPLY] diplomatic [PERIOD]
gorgeous [AND] gleaming [AND] exuberant [IMPLY] hypocritical [PERIOD]
hypocritical [AND] gleaming [IMPLY] intellectual [PERIOD]
diplomatic [AND] busy [AND] gleaming [IMPLY] disobedient [PERIOD]
hypocritical [AND] intellectual [IMPLY] diplomatic [PERIOD]
hypocritical [AND] shy [AND] busy [IMPLY] elegant [PERIOD]
exuberant [AND] wandering [AND] bad-tempered [IMPLY] busy [PERIOD]
busy [AND] agreeable [AND] diplomatic [IMPLY] hypocritical [PERIOD]
proud [AND] powerful [IMPLY] agreeable [PERIOD]
busy [AND] elegant [AND] talented [IMPLY] diplomatic [PERIOD]
courageous [IMPLY] helpless [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   proud ∧ powerful ⇒ agreeable
   busy ∧ agreeable ∧ diplomatic ⇒ hypocritical
   hypocritical ∧ gleaming ⇒ intellectual
   proud ∧ powerful ⇒ agreeable
   busy ∧ agreeable ∧ diplomatic ⇒ hypocritical
   intellectual ∧ ugly ∧ hypocritical ⇒ elegant
",1,6
"Facts:  Alice is popular [PERIOD] Alice is confused [PERIOD] Alice is perfect [PERIOD] Alice is powerful [PERIOD]
Rules:
ugly [IMPLY] tired [PERIOD]
condemned [AND] calm [IMPLY] confident [PERIOD]
wide-eyed [IMPLY] bright [PERIOD]
tired [AND] disobedient [IMPLY] muddy [PERIOD]
reserved [IMPLY] vivacious [PERIOD]
popular [AND] powerful [AND] ugly [IMPLY] bright [PERIOD]
popular [AND] disobedient [IMPLY] horrible [PERIOD]
reserved [AND] confident [AND] vivacious [IMPLY] ugly [PERIOD]
jittery [IMPLY] disobedient [PERIOD]
reserved [IMPLY] scared [PERIOD]
homely [AND] tired [IMPLY] average [PERIOD]
tired [AND] reserved [IMPLY] jittery [PERIOD]
jittery [IMPLY] light [PERIOD]
light [IMPLY] disobedient [PERIOD]
popular [AND] confident [IMPLY] calm [PERIOD]
confident [AND] reserved [IMPLY] scared [PERIOD]
powerful [IMPLY] light [PERIOD]
bright [AND] confident [AND] popular [IMPLY] scared [PERIOD]
light [IMPLY] powerful [PERIOD]
tired [IMPLY] light [PERIOD]
muddy [AND] disobedient [IMPLY] confident [PERIOD]
tired [AND] calm [IMPLY] condemned [PERIOD]
homely [AND] calm [IMPLY] horrible [PERIOD]
reserved [IMPLY] light [PERIOD]
reserved [IMPLY] tired [PERIOD]
wide-eyed [AND] victorious [IMPLY] muddy [PERIOD]
scared [AND] popular [AND] powerful [IMPLY] perfect [PERIOD]
condemned [AND] wide-eyed [AND] victorious [IMPLY] joyous [PERIOD]
disobedient [AND] calm [IMPLY] victorious [PERIOD]
condemned [AND] disobedient [IMPLY] muddy [PERIOD]
victorious [AND] muddy [AND] disobedient [IMPLY] ugly [PERIOD]
reserved [IMPLY] popular [PERIOD]
light [IMPLY] joyous [PERIOD]
reserved [AND] bright [IMPLY] perfect [PERIOD]
homely [AND] powerful [AND] ugly [IMPLY] bright [PERIOD]
wide-eyed [AND] condemned [AND] scared [IMPLY] calm [PERIOD]
wide-eyed [AND] perfect [IMPLY] homely [PERIOD]
reserved [AND] vivacious [AND] condemned [IMPLY] ugly [PERIOD]
reserved [AND] ugly [AND] calm [IMPLY] wide-eyed [PERIOD]
perfect [IMPLY] jittery [PERIOD]
homely [IMPLY] calm [PERIOD]
average [IMPLY] reserved [PERIOD]
reserved [IMPLY] joyous [PERIOD]
victorious [AND] confused [IMPLY] perfect [PERIOD]
disobedient [AND] confident [IMPLY] tired [PERIOD]
ugly [AND] perfect [AND] popular [IMPLY] victorious [PERIOD]
homely [IMPLY] wide-eyed [PERIOD]
tired [IMPLY] disobedient [PERIOD]
wide-eyed [AND] condemned [AND] calm [IMPLY] ugly [PERIOD]
calm [IMPLY] popular [PERIOD]
tired [AND] reserved [IMPLY] average [PERIOD]
joyous [AND] confused [IMPLY] homely [PERIOD]
joyous [AND] horrible [AND] confused [IMPLY] confident [PERIOD]
bright [AND] ugly [AND] light [IMPLY] popular [PERIOD]
reserved [IMPLY] horrible [PERIOD]
disobedient [IMPLY] confused [PERIOD]
popular [AND] powerful [IMPLY] reserved [PERIOD]
calm [AND] homely [AND] bright [IMPLY] perfect [PERIOD]
vivacious [IMPLY] joyous [PERIOD]
disobedient [AND] powerful [IMPLY] condemned [PERIOD]
joyous [AND] popular [AND] condemned [IMPLY] wide-eyed [PERIOD]
homely [AND] condemned [IMPLY] average [PERIOD]
horrible [IMPLY] homely [PERIOD]
bright [AND] calm [IMPLY] wide-eyed [PERIOD]
victorious [AND] calm [IMPLY] homely [PERIOD]
perfect [AND] horrible [IMPLY] wide-eyed [PERIOD]
tired [AND] disobedient [AND] scared [IMPLY] vivacious [PERIOD]
scared [IMPLY] light [PERIOD]
victorious [AND] confident [IMPLY] ugly [PERIOD]
average [AND] bright [AND] muddy [IMPLY] vivacious [PERIOD]
joyous [IMPLY] wide-eyed [PERIOD]
tired [AND] perfect [IMPLY] reserved [PERIOD]
disobedient [IMPLY] jittery [PERIOD]
ugly [IMPLY] joyous [PERIOD]
perfect [IMPLY] tired [PERIOD]
popular [IMPLY] reserved [PERIOD]
victorious [AND] confident [IMPLY] muddy [PERIOD]
confident [IMPLY] joyous [PERIOD]
reserved [IMPLY] homely [PERIOD]
disobedient [AND] tired [IMPLY] condemned [PERIOD]
joyous [IMPLY] tired [PERIOD]
vivacious [AND] horrible [IMPLY] average [PERIOD]
ugly [AND] jittery [IMPLY] tired [PERIOD]
jittery [AND] popular [IMPLY] scared [PERIOD]
wide-eyed [IMPLY] victorious [PERIOD]
horrible [IMPLY] disobedient [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   perfect ⇒ tired
   perfect ⇒ jittery
   jittery ⇒ disobedient
   tired ∧ disobedient ⇒ muddy
",1,4
"Facts: 
Rules:
anxious [AND] curious [AND] talented [IMPLY] thoughtless [PERIOD]
tender [IMPLY] tame [PERIOD]
adorable [AND] thoughtless [IMPLY] curious [PERIOD]
curious [AND] adorable [AND] talented [IMPLY] pessimistic [PERIOD]
adorable [AND] curious [IMPLY] plain [PERIOD]
thoughtless [IMPLY] adorable [PERIOD]
tame [AND] adorable [IMPLY] pessimistic [PERIOD]
thoughtless [AND] tame [IMPLY] adorable [PERIOD]
tame [AND] plain [IMPLY] thoughtless [PERIOD]
pessimistic [AND] worrisome [AND] plain [IMPLY] tame [PERIOD]
worrisome [AND] pessimistic [AND] adorable [IMPLY] plain [PERIOD]
talented [AND] tender [IMPLY] thoughtless [PERIOD]
plain [IMPLY] talented [PERIOD]
talented [AND] pessimistic [IMPLY] tender [PERIOD]
tame [AND] talented [IMPLY] thoughtless [PERIOD]
curious [AND] pessimistic [IMPLY] tame [PERIOD]
tame [AND] curious [AND] anxious [IMPLY] thoughtless [PERIOD]
anxious [AND] thoughtless [IMPLY] tender [PERIOD]
pessimistic [AND] tame [IMPLY] anxious [PERIOD]
tame [AND] tender [IMPLY] plain [PERIOD]
pessimistic [AND] thoughtless [AND] adorable [IMPLY] anxious [PERIOD]
anxious [AND] tame [AND] thoughtless [IMPLY] plain [PERIOD]
curious [AND] plain [IMPLY] pessimistic [PERIOD]
worrisome [IMPLY] anxious [PERIOD]
pessimistic [AND] tender [IMPLY] tame [PERIOD]
plain [AND] talented [IMPLY] tender [PERIOD]
tender [AND] plain [IMPLY] pessimistic [PERIOD]
adorable [AND] talented [IMPLY] plain [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “anxious ∧ curious ∧ talented ⇒ thoughtless” because missing: anxious, curious, talented.
   Cannot apply rule “tame ∧ plain ⇒ thoughtless” because missing: tame, plain.
   Cannot apply rule “talented ∧ tender ⇒ thoughtless” because missing: talented, tender.
   Cannot apply rule “tame ∧ talented ⇒ thoughtless” because missing: tame, talented.
   Cannot apply rule “tame ∧ curious ∧ anxious ⇒ thoughtless” because missing: tame, curious, anxious.
",0,5
"Facts:  Alice is inquisitive [PERIOD] Alice is attractive [PERIOD] Alice is careless [PERIOD] Alice is silly [PERIOD] Alice is outstanding [PERIOD] Alice is polite [PERIOD]
Rules:
proud [AND] embarrassed [IMPLY] attractive [PERIOD]
polite [IMPLY] cooperative [PERIOD]
careless [AND] inquisitive [IMPLY] bored [PERIOD]
careless [AND] fragile [AND] outstanding [IMPLY] comfortable [PERIOD]
modern [AND] gifted [AND] bored [IMPLY] attractive [PERIOD]
anxious [AND] loving [IMPLY] proud [PERIOD]
powerful [AND] careless [IMPLY] loving [PERIOD]
horrible [AND] powerful [AND] loving [IMPLY] clumsy [PERIOD]
clumsy [AND] cooperative [IMPLY] joyous [PERIOD]
powerful [AND] careless [AND] outstanding [IMPLY] polite [PERIOD]
silly [AND] cooperative [AND] exuberant [IMPLY] fragile [PERIOD]
polite [AND] anxious [IMPLY] comfortable [PERIOD]
horrible [IMPLY] old-fashioned [PERIOD]
loving [AND] attractive [IMPLY] embarrassed [PERIOD]
old-fashioned [AND] anxious [AND] comfortable [IMPLY] cooperative [PERIOD]
gifted [AND] silly [IMPLY] powerful [PERIOD]
anxious [IMPLY] attractive [PERIOD]
outstanding [AND] careless [IMPLY] silly [PERIOD]
old-fashioned [AND] proud [IMPLY] embarrassed [PERIOD]
modern [AND] joyous [IMPLY] horrible [PERIOD]
loving [AND] clumsy [AND] cooperative [IMPLY] modern [PERIOD]
loving [AND] clumsy [IMPLY] attractive [PERIOD]
old-fashioned [AND] cooperative [AND] joyous [IMPLY] gifted [PERIOD]
polite [IMPLY] proud [PERIOD]
outstanding [AND] proud [AND] joyous [IMPLY] fragile [PERIOD]
silly [IMPLY] horrible [PERIOD]
embarrassed [AND] horrible [IMPLY] exuberant [PERIOD]
fragile [AND] loving [IMPLY] exuberant [PERIOD]
careless [AND] cooperative [AND] exuberant [IMPLY] loving [PERIOD]
loving [IMPLY] joyous [PERIOD]
horrible [AND] embarrassed [IMPLY] inquisitive [PERIOD]
old-fashioned [AND] exuberant [AND] modern [IMPLY] horrible [PERIOD]
fragile [IMPLY] exuberant [PERIOD]
old-fashioned [IMPLY] embarrassed [PERIOD]
comfortable [IMPLY] cooperative [PERIOD]
proud [AND] fragile [AND] bored [IMPLY] cooperative [PERIOD]
modern [AND] polite [IMPLY] powerful [PERIOD]
polite [AND] careless [AND] silly [IMPLY] embarrassed [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
   polite ∧ careless ∧ silly ⇒ embarrassed
   silly ⇒ horrible
   embarrassed ∧ horrible ⇒ exuberant
",1,3
"Facts:  Alice is stormy [PERIOD] Alice is elated [PERIOD] Alice is helpful [PERIOD] Alice is anxious [PERIOD]
Rules:
supportive [AND] fancy [IMPLY] uptight [PERIOD]
uptight [AND] straightforward [IMPLY] weary [PERIOD]
straightforward [AND] anxious [AND] pessimistic [IMPLY] supportive [PERIOD]
pessimistic [AND] gorgeous [AND] mysterious [IMPLY] careless [PERIOD]
vivacious [AND] disobedient [AND] careless [IMPLY] helpful [PERIOD]
homely [IMPLY] helpful [PERIOD]
wide-eyed [AND] disobedient [IMPLY] precious [PERIOD]
gorgeous [AND] homely [AND] stormy [IMPLY] mysterious [PERIOD]
blushing [IMPLY] stormy [PERIOD]
anxious [AND] elated [IMPLY] weary [PERIOD]
disobedient [AND] long [IMPLY] shiny [PERIOD]
confused [IMPLY] blushing [PERIOD]
uptight [AND] elated [IMPLY] gorgeous [PERIOD]
shiny [AND] fancy [IMPLY] precious [PERIOD]
shiny [AND] wide-eyed [IMPLY] vivacious [PERIOD]
vivacious [AND] uptight [AND] mysterious [IMPLY] disobedient [PERIOD]
precious [IMPLY] confused [PERIOD]
jittery [AND] stormy [AND] pessimistic [IMPLY] gorgeous [PERIOD]
fancy [AND] anxious [IMPLY] pessimistic [PERIOD]
uptight [IMPLY] worried [PERIOD]
pessimistic [IMPLY] precious [PERIOD]
uptight [AND] mysterious [AND] supportive [IMPLY] anxious [PERIOD]
weary [AND] homely [IMPLY] mysterious [PERIOD]
homely [AND] fancy [IMPLY] helpful [PERIOD]
long [IMPLY] homely [PERIOD]
elated [AND] blushing [AND] anxious [IMPLY] homely [PERIOD]
shiny [IMPLY] elated [PERIOD]
disobedient [AND] vivacious [AND] blushing [IMPLY] supportive [PERIOD]
supportive [AND] worried [IMPLY] disobedient [PERIOD]
confused [AND] weary [IMPLY] gorgeous [PERIOD]
pessimistic [IMPLY] elated [PERIOD]
elated [AND] anxious [IMPLY] worried [PERIOD]
homely [AND] weary [IMPLY] confused [PERIOD]
careless [AND] helpful [AND] jittery [IMPLY] straightforward [PERIOD]
disobedient [IMPLY] homely [PERIOD]
weary [IMPLY] anxious [PERIOD]
gorgeous [AND] homely [IMPLY] supportive [PERIOD]
uptight [IMPLY] disobedient [PERIOD]
weary [AND] shiny [IMPLY] long [PERIOD]
pessimistic [IMPLY] anxious [PERIOD]
homely [IMPLY] pessimistic [PERIOD]
helpful [IMPLY] weary [PERIOD]
careless [IMPLY] jittery [PERIOD]
uptight [AND] weary [AND] disobedient [IMPLY] supportive [PERIOD]
worried [AND] blushing [AND] supportive [IMPLY] jittery [PERIOD]
blushing [IMPLY] uptight [PERIOD]
uptight [IMPLY] homely [PERIOD]
supportive [IMPLY] gorgeous [PERIOD]
disobedient [IMPLY] precious [PERIOD]
wide-eyed [IMPLY] long [PERIOD]
blushing [AND] precious [AND] elated [IMPLY] helpful [PERIOD]
careless [AND] stormy [AND] gorgeous [IMPLY] pessimistic [PERIOD]
long [AND] precious [AND] jittery [IMPLY] worried [PERIOD]
shiny [AND] stormy [AND] vivacious [IMPLY] homely [PERIOD]
straightforward [IMPLY] pessimistic [PERIOD]
careless [IMPLY] pessimistic [PERIOD]
blushing [AND] weary [AND] anxious [IMPLY] worried [PERIOD]
fancy [AND] helpful [AND] straightforward [IMPLY] disobedient [PERIOD]
vivacious [AND] uptight [IMPLY] long [PERIOD]
disobedient [IMPLY] worried [PERIOD]
uptight [IMPLY] elated [PERIOD]
wide-eyed [AND] stormy [AND] worried [IMPLY] disobedient [PERIOD]
gorgeous [AND] straightforward [AND] vivacious [IMPLY] shiny [PERIOD]
straightforward [AND] worried [AND] supportive [IMPLY] precious [PERIOD]
wide-eyed [AND] straightforward [IMPLY] worried [PERIOD]
pessimistic [IMPLY] supportive [PERIOD]
weary [AND] stormy [IMPLY] straightforward [PERIOD]
anxious [AND] uptight [AND] jittery [IMPLY] fancy [PERIOD]
vivacious [IMPLY] careless [PERIOD]
mysterious [AND] uptight [IMPLY] fancy [PERIOD]
vivacious [AND] fancy [AND] uptight [IMPLY] shiny [PERIOD]
jittery [IMPLY] stormy [PERIOD]
disobedient [AND] elated [IMPLY] shiny [PERIOD]
stormy [IMPLY] mysterious [PERIOD]
helpful [AND] vivacious [IMPLY] jittery [PERIOD]
precious [AND] straightforward [AND] helpful [IMPLY] worried [PERIOD]
careless [AND] worried [AND] shiny [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] blushing [IMPLY] vivacious [PERIOD]
homely [AND] pessimistic [IMPLY] confused [PERIOD]
mysterious [AND] uptight [AND] supportive [IMPLY] weary [PERIOD]
jittery [IMPLY] mysterious [PERIOD]
wide-eyed [IMPLY] precious [PERIOD]
weary [AND] disobedient [AND] homely [IMPLY] pessimistic [PERIOD]
weary [AND] vivacious [IMPLY] uptight [PERIOD]
careless [AND] wide-eyed [IMPLY] precious [PERIOD]
vivacious [AND] disobedient [IMPLY] fancy [PERIOD]
uptight [AND] precious [IMPLY] weary [PERIOD]
shiny [AND] supportive [AND] wide-eyed [IMPLY] homely [PERIOD]
shiny [IMPLY] disobedient [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   anxious ∧ elated ⇒ weary
   weary ∧ stormy ⇒ straightforward
   anxious ∧ elated ⇒ weary
   weary ∧ stormy ⇒ straightforward
   straightforward ⇒ pessimistic
   straightforward ∧ anxious ∧ pessimistic ⇒ supportive
",1,6
"Facts:  Alice is victorious [PERIOD] Alice is rude [PERIOD]
Rules:
good [IMPLY] helpless [PERIOD]
good [AND] victorious [AND] gorgeous [IMPLY] hurt [PERIOD]
inquisitive [AND] victorious [AND] helpless [IMPLY] good [PERIOD]
inquisitive [AND] tender [IMPLY] elegant [PERIOD]
different [AND] gorgeous [AND] victorious [IMPLY] bored [PERIOD]
tidy [IMPLY] foolish [PERIOD]
good [IMPLY] fearless [PERIOD]
strange [IMPLY] bored [PERIOD]
fearless [AND] different [AND] anxious [IMPLY] courageous [PERIOD]
uptight [IMPLY] witty [PERIOD]
victorious [IMPLY] bored [PERIOD]
combative [AND] courageous [IMPLY] impartial [PERIOD]
fearless [AND] anxious [IMPLY] good [PERIOD]
foolish [AND] bored [AND] fragile [IMPLY] tidy [PERIOD]
hurt [IMPLY] gorgeous [PERIOD]
foolish [IMPLY] inquisitive [PERIOD]
fearless [IMPLY] combative [PERIOD]
fearless [AND] helpless [IMPLY] different [PERIOD]
elegant [AND] courageous [IMPLY] tidy [PERIOD]
inquisitive [AND] victorious [AND] stupid [IMPLY] good [PERIOD]
fearless [IMPLY] anxious [PERIOD]
strange [AND] uptight [IMPLY] rude [PERIOD]
hurt [AND] inquisitive [AND] victorious [IMPLY] different [PERIOD]
ugliest [AND] impartial [AND] different [IMPLY] elegant [PERIOD]
strange [AND] witty [IMPLY] uptight [PERIOD]
elegant [AND] fearless [IMPLY] good [PERIOD]
inquisitive [AND] fragile [IMPLY] anxious [PERIOD]
foolish [IMPLY] gorgeous [PERIOD]
combative [IMPLY] ugliest [PERIOD]
foolish [AND] bored [AND] tidy [IMPLY] inquisitive [PERIOD]
hurt [IMPLY] fearless [PERIOD]
stupid [AND] inquisitive [AND] ugliest [IMPLY] combative [PERIOD]
elegant [IMPLY] fearless [PERIOD]
fearless [AND] elegant [IMPLY] fragile [PERIOD]
good [AND] inquisitive [AND] hurt [IMPLY] stupid [PERIOD]
hurt [AND] different [IMPLY] tidy [PERIOD]
fearless [IMPLY] ugliest [PERIOD]
different [IMPLY] fragile [PERIOD]
inquisitive [AND] witty [IMPLY] anxious [PERIOD]
courageous [IMPLY] impartial [PERIOD]
tidy [AND] uptight [IMPLY] fearless [PERIOD]
ugliest [IMPLY] helpless [PERIOD]
helpless [AND] tidy [IMPLY] anxious [PERIOD]
different [IMPLY] tidy [PERIOD]
hurt [IMPLY] inquisitive [PERIOD]
ugliest [AND] strange [IMPLY] witty [PERIOD]
uptight [AND] tidy [IMPLY] good [PERIOD]
foolish [IMPLY] elegant [PERIOD]
foolish [AND] stupid [IMPLY] impartial [PERIOD]
tidy [AND] hurt [AND] hilarious [IMPLY] gorgeous [PERIOD]
stupid [AND] rude [AND] impartial [IMPLY] tidy [PERIOD]
anxious [AND] inquisitive [AND] tidy [IMPLY] victorious [PERIOD]
stupid [AND] strange [AND] anxious [IMPLY] hurt [PERIOD]
elegant [AND] foolish [IMPLY] different [PERIOD]
witty [IMPLY] hurt [PERIOD]
fragile [AND] impartial [AND] victorious [IMPLY] inquisitive [PERIOD]
fragile [AND] tidy [AND] gorgeous [IMPLY] rude [PERIOD]
rude [IMPLY] tender [PERIOD]
strange [AND] victorious [IMPLY] different [PERIOD]
hurt [AND] victorious [AND] hilarious [IMPLY] fearless [PERIOD]
bored [IMPLY] victorious [PERIOD]
anxious [AND] tender [IMPLY] inquisitive [PERIOD]
tender [AND] hurt [IMPLY] ugliest [PERIOD]
ugliest [AND] combative [IMPLY] strange [PERIOD]
combative [AND] tender [IMPLY] rude [PERIOD]
foolish [AND] elegant [AND] hilarious [IMPLY] fearless [PERIOD]
different [AND] helpless [IMPLY] tender [PERIOD]
helpless [IMPLY] inquisitive [PERIOD]
tender [AND] fragile [IMPLY] impartial [PERIOD]
foolish [AND] combative [AND] different [IMPLY] stupid [PERIOD]
courageous [IMPLY] stupid [PERIOD]
different [AND] uptight [IMPLY] gorgeous [PERIOD]
anxious [AND] uptight [IMPLY] tidy [PERIOD]
courageous [IMPLY] fragile [PERIOD]
strange [AND] good [IMPLY] inquisitive [PERIOD]
combative [IMPLY] hilarious [PERIOD]
bored [AND] hilarious [IMPLY] witty [PERIOD]
inquisitive [IMPLY] hurt [PERIOD]
combative [IMPLY] fragile [PERIOD]
hurt [AND] strange [IMPLY] foolish [PERIOD]
hurt [AND] uptight [IMPLY] inquisitive [PERIOD]
gorgeous [AND] anxious [AND] rude [IMPLY] hilarious [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   victorious ⇒ bored
   Cannot apply rule “foolish ∧ bored ∧ fragile ⇒ tidy” because missing: foolish, fragile.
   Cannot apply rule “elegant ∧ courageous ⇒ tidy” because missing: elegant, courageous.
   Cannot apply rule “hurt ∧ different ⇒ tidy” because missing: hurt, different.
   Cannot apply rule “different ⇒ tidy” because missing: different.
   Cannot apply rule “stupid ∧ rude ∧ impartial ⇒ tidy” because missing: stupid, impartial.
   Cannot apply rule “anxious ∧ uptight ⇒ tidy” because missing: anxious, uptight.
",0,7
"Facts:  Alice is victorious [PERIOD] Alice is powerful [PERIOD] Alice is gifted [PERIOD] Alice is hilarious [PERIOD] Alice is messy [PERIOD] Alice is cooperative [PERIOD]
Rules:
glamorous [AND] calm [IMPLY] foolish [PERIOD]
disobedient [IMPLY] gifted [PERIOD]
average [AND] tame [AND] messy [IMPLY] anxious [PERIOD]
ugly [AND] foolish [IMPLY] powerful [PERIOD]
wandering [IMPLY] anxious [PERIOD]
disobedient [IMPLY] elegant [PERIOD]
attractive [AND] blushing [AND] average [IMPLY] victorious [PERIOD]
anxious [AND] blushing [AND] tame [IMPLY] victorious [PERIOD]
cooperative [IMPLY] hilarious [PERIOD]
tame [IMPLY] strange [PERIOD]
tame [AND] glamorous [IMPLY] cooperative [PERIOD]
disgusted [AND] famous [IMPLY] anxious [PERIOD]
dull [AND] disobedient [IMPLY] strange [PERIOD]
tame [IMPLY] bossy [PERIOD]
glamorous [AND] disobedient [IMPLY] dull [PERIOD]
anxious [IMPLY] disobedient [PERIOD]
wandering [IMPLY] cooperative [PERIOD]
hilarious [IMPLY] average [PERIOD]
wandering [AND] tame [AND] sincere [IMPLY] attractive [PERIOD]
average [AND] attractive [AND] foolish [IMPLY] strange [PERIOD]
ugly [IMPLY] average [PERIOD]
hilarious [IMPLY] ugly [PERIOD]
rude [AND] gifted [IMPLY] cooperative [PERIOD]
rude [AND] messy [IMPLY] famous [PERIOD]
distinct [IMPLY] average [PERIOD]
tame [AND] dull [IMPLY] anxious [PERIOD]
disgusted [AND] blushing [IMPLY] average [PERIOD]
attractive [AND] dull [IMPLY] cooperative [PERIOD]
sincere [AND] disgusted [AND] disobedient [IMPLY] powerful [PERIOD]
distinct [IMPLY] sincere [PERIOD]
famous [IMPLY] talented [PERIOD]
dull [AND] disgusted [AND] distinct [IMPLY] hilarious [PERIOD]
calm [IMPLY] dull [PERIOD]
calm [AND] hilarious [IMPLY] disobedient [PERIOD]
strange [AND] blushing [IMPLY] tame [PERIOD]
anxious [AND] disgusted [IMPLY] dull [PERIOD]
disgusted [AND] powerful [AND] disobedient [IMPLY] cooperative [PERIOD]
gifted [IMPLY] victorious [PERIOD]
messy [IMPLY] dull [PERIOD]
hilarious [IMPLY] glamorous [PERIOD]
glamorous [AND] cooperative [IMPLY] rude [PERIOD]
bossy [IMPLY] foolish [PERIOD]
ugly [AND] powerful [AND] disgusted [IMPLY] anxious [PERIOD]
distinct [IMPLY] calm [PERIOD]
anxious [AND] ugly [IMPLY] gifted [PERIOD]
wandering [IMPLY] disobedient [PERIOD]
blushing [IMPLY] strange [PERIOD]
foolish [AND] sincere [IMPLY] talented [PERIOD]
elegant [AND] anxious [AND] strange [IMPLY] disobedient [PERIOD]
calm [AND] distinct [AND] disgusted [IMPLY] foolish [PERIOD]
disgusted [IMPLY] tame [PERIOD]
gifted [IMPLY] disgusted [PERIOD]
elegant [AND] sincere [IMPLY] famous [PERIOD]
disobedient [AND] average [IMPLY] distinct [PERIOD]
ugly [AND] tame [AND] victorious [IMPLY] famous [PERIOD]
dull [AND] wandering [AND] anxious [IMPLY] bossy [PERIOD]
famous [AND] wandering [IMPLY] glamorous [PERIOD]
hilarious [AND] rude [AND] famous [IMPLY] average [PERIOD]
blushing [AND] messy [AND] tame [IMPLY] calm [PERIOD]
victorious [IMPLY] elegant [PERIOD]
tame [AND] victorious [AND] glamorous [IMPLY] elegant [PERIOD]
rude [IMPLY] sincere [PERIOD]
disgusted [AND] foolish [AND] strange [IMPLY] ugly [PERIOD]
bossy [AND] famous [AND] cooperative [IMPLY] foolish [PERIOD]
disgusted [AND] hilarious [AND] calm [IMPLY] distinct [PERIOD]
rude [AND] tame [IMPLY] powerful [PERIOD]
anxious [IMPLY] elegant [PERIOD]
disobedient [IMPLY] disgusted [PERIOD]
ugly [IMPLY] attractive [PERIOD]
strange [AND] messy [IMPLY] elegant [PERIOD]
tame [AND] elegant [IMPLY] calm [PERIOD]
tame [AND] messy [AND] anxious [IMPLY] attractive [PERIOD]
elegant [IMPLY] average [PERIOD]
sincere [IMPLY] calm [PERIOD]
strange [AND] attractive [IMPLY] ugly [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   gifted ⇒ disgusted
   disgusted ⇒ tame
   tame ⇒ bossy
   bossy ⇒ foolish
",1,4
"Facts:  Alice is witty [PERIOD] Alice is impatient [PERIOD] Alice is worrisome [PERIOD] Alice is long [PERIOD]
Rules:
careless [AND] combative [AND] worrisome [IMPLY] witty [PERIOD]
combative [IMPLY] long [PERIOD]
hilarious [IMPLY] long [PERIOD]
long [AND] careless [AND] worrisome [IMPLY] combative [PERIOD]
long [AND] witty [IMPLY] combative [PERIOD]
worrisome [IMPLY] careless [PERIOD]
long [AND] witty [AND] careless [IMPLY] hilarious [PERIOD]
long [AND] worrisome [IMPLY] combative [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   worrisome ⇒ careless
   long ∧ witty ∧ careless ⇒ hilarious
",1,2
"Facts: 
Rules:
clumsy [AND] stormy [AND] jittery [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] stormy [AND] outrageous [IMPLY] fancy [PERIOD]
diplomatic [AND] condemned [AND] famous [IMPLY] clean [PERIOD]
adorable [AND] condemned [AND] jittery [IMPLY] old-fashioned [PERIOD]
helpless [AND] talkative [AND] outrageous [IMPLY] diplomatic [PERIOD]
frantic [IMPLY] famous [PERIOD]
outrageous [IMPLY] famous [PERIOD]
elated [AND] supportive [IMPLY] jittery [PERIOD]
frantic [AND] famous [AND] fancy [IMPLY] condemned [PERIOD]
hypocritical [IMPLY] supportive [PERIOD]
outrageous [AND] old-fashioned [AND] hypocritical [IMPLY] frantic [PERIOD]
diplomatic [AND] mysterious [IMPLY] famous [PERIOD]
fancy [AND] supportive [AND] diplomatic [IMPLY] mysterious [PERIOD]
old-fashioned [AND] famous [AND] hypocritical [IMPLY] adorable [PERIOD]
stormy [AND] famous [AND] clean [IMPLY] elated [PERIOD]
supportive [AND] fancy [IMPLY] helpless [PERIOD]
talkative [AND] hypocritical [IMPLY] frantic [PERIOD]
stormy [AND] supportive [IMPLY] frantic [PERIOD]
frantic [AND] diplomatic [AND] talkative [IMPLY] fancy [PERIOD]
fancy [AND] jittery [IMPLY] talkative [PERIOD]
stormy [IMPLY] frantic [PERIOD]
hypocritical [AND] clumsy [AND] old-fashioned [IMPLY] fancy [PERIOD]
stormy [AND] helpless [IMPLY] mysterious [PERIOD]
hypocritical [IMPLY] condemned [PERIOD]
clean [AND] talkative [AND] diplomatic [IMPLY] elated [PERIOD]
helpless [AND] jittery [AND] outrageous [IMPLY] old-fashioned [PERIOD]
hypocritical [AND] fancy [AND] condemned [IMPLY] diplomatic [PERIOD]
helpless [AND] jittery [AND] famous [IMPLY] mysterious [PERIOD]
clumsy [IMPLY] stormy [PERIOD]
clumsy [AND] adorable [IMPLY] outrageous [PERIOD]
frantic [AND] hypocritical [IMPLY] talkative [PERIOD]
famous [IMPLY] stormy [PERIOD]
condemned [AND] hypocritical [IMPLY] mysterious [PERIOD]
wide-eyed [AND] helpless [AND] fancy [IMPLY] jittery [PERIOD]
jittery [AND] frantic [IMPLY] clumsy [PERIOD]
condemned [IMPLY] helpless [PERIOD]
frantic [IMPLY] wide-eyed [PERIOD]
talkative [AND] jittery [AND] diplomatic [IMPLY] hypocritical [PERIOD]
stormy [IMPLY] diplomatic [PERIOD]
mysterious [AND] famous [IMPLY] adorable [PERIOD]
outrageous [AND] old-fashioned [IMPLY] elated [PERIOD]
mysterious [AND] diplomatic [IMPLY] frantic [PERIOD]
hypocritical [AND] famous [IMPLY] clumsy [PERIOD]
elated [IMPLY] helpless [PERIOD]
hypocritical [AND] condemned [AND] frantic [IMPLY] diplomatic [PERIOD]
condemned [AND] old-fashioned [IMPLY] famous [PERIOD]
fancy [IMPLY] outrageous [PERIOD]
stormy [AND] frantic [AND] wide-eyed [IMPLY] talkative [PERIOD]
wide-eyed [AND] diplomatic [IMPLY] famous [PERIOD]
outrageous [AND] clean [AND] frantic [IMPLY] hypocritical [PERIOD]
adorable [AND] helpless [AND] outrageous [IMPLY] elated [PERIOD]
diplomatic [IMPLY] wide-eyed [PERIOD]
diplomatic [AND] fancy [AND] outrageous [IMPLY] jittery [PERIOD]
wide-eyed [AND] clumsy [AND] frantic [IMPLY] famous [PERIOD]
clumsy [IMPLY] clean [PERIOD]
supportive [IMPLY] frantic [PERIOD]
hypocritical [AND] elated [IMPLY] old-fashioned [PERIOD]
clean [AND] adorable [IMPLY] old-fashioned [PERIOD]
old-fashioned [IMPLY] mysterious [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   Cannot apply rule “supportive ∧ fancy ⇒ helpless” because missing: supportive, fancy.
   Cannot apply rule “condemned ⇒ helpless” because missing: condemned.
   Cannot apply rule “elated ⇒ helpless” because missing: elated.
",0,3
"Facts:  Alice is worried [PERIOD] Alice is versatile [PERIOD] Alice is outrageous [PERIOD] Alice is thoughtless [PERIOD] Alice is horrible [PERIOD] Alice is confused [PERIOD] Alice is different [PERIOD] Alice is wide-eyed [PERIOD] Alice is straightforward [PERIOD] Alice is clean [PERIOD] Alice is unpleasant [PERIOD] Alice is distinct [PERIOD] Alice is attractive [PERIOD]
Rules:
elegant [IMPLY] rational [PERIOD]
clean [AND] different [AND] helpful [IMPLY] spotless [PERIOD]
unpleasant [AND] confused [AND] straightforward [IMPLY] ambitious [PERIOD]
stupid [IMPLY] unpleasant [PERIOD]
horrible [IMPLY] distinct [PERIOD]
attractive [AND] stupid [IMPLY] ambitious [PERIOD]
sensible [IMPLY] confused [PERIOD]
ambitious [AND] elegant [AND] different [IMPLY] busy [PERIOD]
sensible [AND] busy [AND] elegant [IMPLY] worried [PERIOD]
outrageous [AND] thoughtless [AND] busy [IMPLY] unpleasant [PERIOD]
wide-eyed [AND] distinct [AND] elegant [IMPLY] bossy [PERIOD]
inexpensive [AND] distinct [AND] thoughtless [IMPLY] confused [PERIOD]
versatile [IMPLY] sensible [PERIOD]
bossy [AND] elegant [AND] wide-eyed [IMPLY] horrible [PERIOD]
helpful [IMPLY] clean [PERIOD]
clean [IMPLY] ambitious [PERIOD]
sensible [AND] outrageous [IMPLY] wide-eyed [PERIOD]
inexpensive [AND] wide-eyed [AND] attractive [IMPLY] busy [PERIOD]
ambitious [AND] unpleasant [IMPLY] thoughtless [PERIOD]
outrageous [AND] unpleasant [AND] versatile [IMPLY] confused [PERIOD]
stupid [AND] ambitious [AND] straightforward [IMPLY] clean [PERIOD]
distinct [AND] attractive [AND] sensible [IMPLY] unpleasant [PERIOD]
sensible [AND] versatile [AND] rational [IMPLY] outrageous [PERIOD]
busy [IMPLY] straightforward [PERIOD]
horrible [AND] worried [AND] clean [IMPLY] busy [PERIOD]
versatile [AND] disgusted [AND] straightforward [IMPLY] thoughtless [PERIOD]
attractive [AND] disgusted [AND] clean [IMPLY] bossy [PERIOD]
bossy [AND] confused [IMPLY] thoughtless [PERIOD]
wide-eyed [IMPLY] distinct [PERIOD]
versatile [AND] worried [AND] stupid [IMPLY] disgusted [PERIOD]
outrageous [AND] confused [AND] straightforward [IMPLY] helpful [PERIOD]
inexpensive [IMPLY] versatile [PERIOD]
spotless [AND] bossy [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] spotless [PERIOD]
helpful [AND] inexpensive [AND] sensible [IMPLY] busy [PERIOD]
busy [IMPLY] stupid [PERIOD]
horrible [AND] confused [IMPLY] sensible [PERIOD]
wide-eyed [AND] ambitious [AND] stupid [IMPLY] spotless [PERIOD]
distinct [AND] straightforward [AND] clean [IMPLY] wide-eyed [PERIOD]
ambitious [IMPLY] confused [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   wide-eyed ⇒ spotless
",1,1
"Facts:  Alice is attentive [PERIOD]
Rules:
intellectual [IMPLY] tame [PERIOD]
tired [AND] tense [AND] fragile [IMPLY] polite [PERIOD]
lonely [IMPLY] thoughtful [PERIOD]
polite [AND] impartial [IMPLY] stupid [PERIOD]
spotless [AND] tame [AND] lonely [IMPLY] stupid [PERIOD]
attentive [IMPLY] courageous [PERIOD]
stupid [IMPLY] mean [PERIOD]
proud [IMPLY] intellectual [PERIOD]
adorable [AND] tense [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] tense [PERIOD]
proud [AND] messy [IMPLY] tense [PERIOD]
thoughtful [AND] homely [IMPLY] adorable [PERIOD]
polite [AND] outrageous [AND] spotless [IMPLY] tidy [PERIOD]
intellectual [AND] amused [AND] stupid [IMPLY] tense [PERIOD]
inquisitive [AND] mean [AND] messy [IMPLY] distinct [PERIOD]
adorable [AND] curious [IMPLY] mean [PERIOD]
stupid [AND] tense [IMPLY] cooperative [PERIOD]
adorable [IMPLY] distinct [PERIOD]
mean [AND] tired [IMPLY] courageous [PERIOD]
courageous [IMPLY] amused [PERIOD]
tense [IMPLY] polite [PERIOD]
messy [AND] shiny [IMPLY] cooperative [PERIOD]
attentive [IMPLY] tense [PERIOD]
outrageous [AND] thoughtful [AND] tidy [IMPLY] lonely [PERIOD]
spotless [AND] messy [IMPLY] sincere [PERIOD]
outrageous [AND] stupid [IMPLY] fragile [PERIOD]
adorable [IMPLY] spotless [PERIOD]
inquisitive [AND] cooperative [AND] impartial [IMPLY] thoughtful [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   No rule concludes “agreeable.”
",0,1
"Facts:  Alice is wandering [PERIOD] Alice is hilarious [PERIOD] Alice is cruel [PERIOD] Alice is zealous [PERIOD] Alice is grumpy [PERIOD] Alice is impatient [PERIOD] Alice is excited [PERIOD] Alice is beautiful [PERIOD] Alice is blushing [PERIOD]
Rules:
wrong [AND] impatient [IMPLY] zealous [PERIOD]
proud [AND] beautiful [AND] selfish [IMPLY] careless [PERIOD]
wrong [IMPLY] busy [PERIOD]
hilarious [IMPLY] sensible [PERIOD]
careless [IMPLY] proud [PERIOD]
wandering [IMPLY] blushing [PERIOD]
excited [AND] sensible [AND] wrong [IMPLY] hilarious [PERIOD]
proud [IMPLY] zealous [PERIOD]
careless [IMPLY] beautiful [PERIOD]
busy [AND] hilarious [AND] careless [IMPLY] stormy [PERIOD]
wrong [AND] wandering [AND] stormy [IMPLY] hilarious [PERIOD]
busy [AND] sensible [IMPLY] grumpy [PERIOD]
careless [IMPLY] stormy [PERIOD]
wrong [AND] excited [AND] zealous [IMPLY] hilarious [PERIOD]
excited [IMPLY] sensible [PERIOD]
stormy [IMPLY] hilarious [PERIOD]
zealous [IMPLY] stormy [PERIOD]
careless [AND] busy [IMPLY] excited [PERIOD]
sensible [AND] hilarious [AND] proud [IMPLY] grumpy [PERIOD]
hilarious [AND] grumpy [IMPLY] sensible [PERIOD]
hilarious [AND] busy [IMPLY] cruel [PERIOD]
hilarious [AND] zealous [IMPLY] beautiful [PERIOD]
wrong [AND] proud [AND] impatient [IMPLY] excited [PERIOD]
careless [AND] impatient [AND] selfish [IMPLY] hilarious [PERIOD]
impatient [IMPLY] blushing [PERIOD]
grumpy [AND] cruel [IMPLY] impatient [PERIOD]
blushing [AND] cruel [AND] sensible [IMPLY] stormy [PERIOD]
blushing [AND] excited [IMPLY] busy [PERIOD]
wrong [AND] impatient [IMPLY] proud [PERIOD]
wrong [IMPLY] excited [PERIOD]
sensible [AND] selfish [AND] blushing [IMPLY] wrong [PERIOD]
blushing [AND] wandering [AND] hilarious [IMPLY] busy [PERIOD]
selfish [IMPLY] sensible [PERIOD]
excited [AND] selfish [AND] stormy [IMPLY] grumpy [PERIOD]
excited [IMPLY] zealous [PERIOD]
proud [IMPLY] stormy [PERIOD]
Query: Alice is proud [PERIOD]","Proof chain:
   Cannot apply rule “careless ⇒ proud” because missing: careless.
   Cannot apply rule “wrong ∧ impatient ⇒ proud” because missing: wrong.
",0,2
"Facts:  Alice is straightforward [PERIOD] Alice is comfortable [PERIOD] Alice is wrong [PERIOD] Alice is naughty [PERIOD]
Rules:
shy [IMPLY] worried [PERIOD]
silly [AND] tidy [AND] elated [IMPLY] wrong [PERIOD]
glamorous [AND] comfortable [IMPLY] tidy [PERIOD]
modern [IMPLY] beautiful [PERIOD]
tender [AND] sleepy [AND] silly [IMPLY] old-fashioned [PERIOD]
straightforward [AND] difficult [AND] selfish [IMPLY] shiny [PERIOD]
old-fashioned [AND] beautiful [IMPLY] shy [PERIOD]
naughty [AND] shiny [IMPLY] old-fashioned [PERIOD]
modern [AND] wrong [IMPLY] hilarious [PERIOD]
stupid [AND] shiny [AND] famous [IMPLY] old-fashioned [PERIOD]
silly [IMPLY] beautiful [PERIOD]
shiny [IMPLY] naughty [PERIOD]
comfortable [IMPLY] shy [PERIOD]
glamorous [AND] famous [AND] comfortable [IMPLY] tidy [PERIOD]
tender [AND] naughty [AND] wrong [IMPLY] sleepy [PERIOD]
selfish [AND] straightforward [AND] old-fashioned [IMPLY] worried [PERIOD]
famous [IMPLY] shiny [PERIOD]
hilarious [IMPLY] shiny [PERIOD]
shy [AND] comfortable [IMPLY] wrong [PERIOD]
beautiful [AND] shy [IMPLY] comfortable [PERIOD]
famous [IMPLY] naughty [PERIOD]
elated [AND] wrong [IMPLY] stupid [PERIOD]
old-fashioned [AND] silly [AND] adorable [IMPLY] tender [PERIOD]
straightforward [IMPLY] wrong [PERIOD]
comfortable [AND] naughty [IMPLY] glamorous [PERIOD]
wrong [AND] old-fashioned [IMPLY] hilarious [PERIOD]
tidy [AND] glamorous [IMPLY] hilarious [PERIOD]
old-fashioned [AND] sleepy [AND] famous [IMPLY] stupid [PERIOD]
worried [AND] shiny [IMPLY] hilarious [PERIOD]
adorable [AND] straightforward [AND] beautiful [IMPLY] elated [PERIOD]
selfish [IMPLY] beautiful [PERIOD]
beautiful [AND] worried [AND] tidy [IMPLY] silly [PERIOD]
selfish [IMPLY] difficult [PERIOD]
worried [AND] stupid [AND] adorable [IMPLY] selfish [PERIOD]
shy [IMPLY] comfortable [PERIOD]
modern [AND] shiny [AND] stupid [IMPLY] comfortable [PERIOD]
old-fashioned [IMPLY] straightforward [PERIOD]
difficult [IMPLY] worried [PERIOD]
elated [IMPLY] silly [PERIOD]
straightforward [AND] selfish [AND] naughty [IMPLY] shy [PERIOD]
elated [AND] worried [IMPLY] famous [PERIOD]
modern [AND] naughty [IMPLY] selfish [PERIOD]
glamorous [IMPLY] modern [PERIOD]
old-fashioned [AND] selfish [AND] adorable [IMPLY] tidy [PERIOD]
modern [AND] glamorous [AND] comfortable [IMPLY] worried [PERIOD]
difficult [AND] comfortable [IMPLY] selfish [PERIOD]
shiny [AND] straightforward [IMPLY] tidy [PERIOD]
naughty [AND] stupid [AND] tender [IMPLY] elated [PERIOD]
shiny [AND] famous [AND] beautiful [IMPLY] wrong [PERIOD]
famous [AND] tender [IMPLY] comfortable [PERIOD]
sleepy [AND] beautiful [AND] modern [IMPLY] difficult [PERIOD]
beautiful [IMPLY] famous [PERIOD]
tidy [AND] stupid [IMPLY] hilarious [PERIOD]
silly [IMPLY] glamorous [PERIOD]
worried [AND] straightforward [AND] difficult [IMPLY] tender [PERIOD]
difficult [AND] famous [IMPLY] adorable [PERIOD]
tidy [AND] sleepy [IMPLY] beautiful [PERIOD]
tender [AND] straightforward [AND] famous [IMPLY] comfortable [PERIOD]
old-fashioned [AND] adorable [IMPLY] elated [PERIOD]
famous [AND] naughty [IMPLY] selfish [PERIOD]
tidy [IMPLY] shy [PERIOD]
adorable [AND] difficult [IMPLY] elated [PERIOD]
stupid [IMPLY] comfortable [PERIOD]
modern [IMPLY] elated [PERIOD]
stupid [IMPLY] elated [PERIOD]
stupid [IMPLY] tender [PERIOD]
naughty [IMPLY] worried [PERIOD]
difficult [AND] glamorous [AND] tidy [IMPLY] straightforward [PERIOD]
elated [IMPLY] modern [PERIOD]
shiny [AND] straightforward [IMPLY] glamorous [PERIOD]
comfortable [IMPLY] wrong [PERIOD]
elated [IMPLY] tidy [PERIOD]
tender [AND] old-fashioned [IMPLY] wrong [PERIOD]
shiny [AND] worried [AND] straightforward [IMPLY] famous [PERIOD]
shiny [AND] old-fashioned [IMPLY] comfortable [PERIOD]
stupid [AND] adorable [AND] comfortable [IMPLY] old-fashioned [PERIOD]
beautiful [AND] old-fashioned [IMPLY] tidy [PERIOD]
famous [IMPLY] difficult [PERIOD]
shy [IMPLY] tidy [PERIOD]
sleepy [AND] straightforward [AND] tidy [IMPLY] shy [PERIOD]
tidy [IMPLY] sleepy [PERIOD]
silly [AND] stupid [AND] famous [IMPLY] difficult [PERIOD]
stupid [AND] selfish [IMPLY] glamorous [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   comfortable ∧ naughty ⇒ glamorous
   glamorous ⇒ modern
   modern ⇒ beautiful
   naughty ⇒ worried
   comfortable ∧ naughty ⇒ glamorous
   glamorous ∧ comfortable ⇒ tidy
   beautiful ∧ worried ∧ tidy ⇒ silly
",1,7
"Facts: 
Rules:
versatile [AND] quaint [AND] curious [IMPLY] gorgeous [PERIOD]
ugliest [IMPLY] courageous [PERIOD]
ugliest [AND] curious [AND] powerful [IMPLY] quaint [PERIOD]
versatile [IMPLY] ugliest [PERIOD]
versatile [IMPLY] bored [PERIOD]
curious [IMPLY] jittery [PERIOD]
famous [IMPLY] ugliest [PERIOD]
gorgeous [IMPLY] bored [PERIOD]
rude [IMPLY] versatile [PERIOD]
famous [AND] bored [AND] precious [IMPLY] gorgeous [PERIOD]
quaint [AND] precious [AND] gorgeous [IMPLY] famous [PERIOD]
jittery [IMPLY] ugliest [PERIOD]
quaint [AND] jittery [AND] courageous [IMPLY] precious [PERIOD]
Query: Alice is bored [PERIOD]","Proof chain:
   Cannot apply rule “versatile ⇒ bored” because missing: versatile.
   Cannot apply rule “gorgeous ⇒ bored” because missing: gorgeous.
",0,2
"Facts:  Alice is calm [PERIOD] Alice is helpful [PERIOD] Alice is glamorous [PERIOD] Alice is bored [PERIOD]
Rules:
polite [AND] bored [AND] calm [IMPLY] helpful [PERIOD]
bored [IMPLY] disobedient [PERIOD]
bored [IMPLY] helpful [PERIOD]
disobedient [AND] glamorous [AND] calm [IMPLY] polite [PERIOD]
calm [AND] disobedient [AND] polite [IMPLY] bored [PERIOD]
helpful [AND] disobedient [AND] calm [IMPLY] glamorous [PERIOD]
helpful [AND] calm [IMPLY] glamorous [PERIOD]
calm [AND] bored [AND] glamorous [IMPLY] disobedient [PERIOD]
polite [AND] disobedient [AND] bored [IMPLY] helpful [PERIOD]
polite [IMPLY] disobedient [PERIOD]
calm [AND] polite [AND] helpful [IMPLY] bored [PERIOD]
polite [AND] helpful [AND] bored [IMPLY] calm [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   bored ⇒ disobedient
   disobedient ∧ glamorous ∧ calm ⇒ polite
",1,2
"Facts:  Alice is shiny [PERIOD] Alice is inexpensive [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
elegant [AND] exuberant [AND] charming [IMPLY] difficult [PERIOD]
elegant [AND] frantic [IMPLY] exuberant [PERIOD]
charming [AND] crowded [AND] worrisome [IMPLY] tired [PERIOD]
shiny [AND] difficult [AND] tired [IMPLY] charming [PERIOD]
tired [AND] crowded [IMPLY] cooperative [PERIOD]
charming [IMPLY] exuberant [PERIOD]
elegant [AND] tired [AND] shiny [IMPLY] difficult [PERIOD]
cooperative [AND] tired [IMPLY] inexpensive [PERIOD]
elegant [AND] tired [IMPLY] worrisome [PERIOD]
frantic [AND] easy [IMPLY] difficult [PERIOD]
frantic [AND] worrisome [AND] elegant [IMPLY] difficult [PERIOD]
difficult [IMPLY] inexpensive [PERIOD]
easy [AND] cooperative [IMPLY] elegant [PERIOD]
worrisome [AND] easy [AND] inexpensive [IMPLY] shiny [PERIOD]
old-fashioned [IMPLY] cooperative [PERIOD]
exuberant [AND] cooperative [IMPLY] difficult [PERIOD]
inexpensive [AND] old-fashioned [IMPLY] cooperative [PERIOD]
elegant [AND] difficult [AND] old-fashioned [IMPLY] crowded [PERIOD]
crowded [IMPLY] tired [PERIOD]
crowded [IMPLY] worrisome [PERIOD]
shiny [AND] charming [AND] cooperative [IMPLY] crowded [PERIOD]
difficult [AND] shiny [AND] elegant [IMPLY] worrisome [PERIOD]
difficult [AND] worrisome [AND] easy [IMPLY] crowded [PERIOD]
old-fashioned [AND] shiny [IMPLY] inexpensive [PERIOD]
crowded [AND] elegant [IMPLY] cooperative [PERIOD]
charming [IMPLY] tired [PERIOD]
charming [AND] elegant [IMPLY] old-fashioned [PERIOD]
exuberant [AND] shiny [AND] easy [IMPLY] difficult [PERIOD]
worrisome [AND] elegant [IMPLY] exuberant [PERIOD]
worrisome [AND] charming [IMPLY] easy [PERIOD]
exuberant [AND] cooperative [AND] charming [IMPLY] inexpensive [PERIOD]
cooperative [AND] worrisome [IMPLY] tired [PERIOD]
charming [AND] inexpensive [IMPLY] elegant [PERIOD]
tired [IMPLY] frantic [PERIOD]
exuberant [AND] charming [AND] elegant [IMPLY] tired [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   Cannot apply rule “elegant ∧ exuberant ∧ charming ⇒ difficult” because missing: elegant, exuberant, charming.
   Cannot apply rule “elegant ∧ tired ∧ shiny ⇒ difficult” because missing: elegant, tired.
   Cannot apply rule “frantic ∧ easy ⇒ difficult” because missing: frantic, easy.
   Cannot apply rule “frantic ∧ worrisome ∧ elegant ⇒ difficult” because missing: frantic, worrisome, elegant.
   old-fashioned ⇒ cooperative
   Cannot apply rule “exuberant ∧ cooperative ⇒ difficult” because missing: exuberant.
   Cannot apply rule “exuberant ∧ shiny ∧ easy ⇒ difficult” because missing: exuberant, easy.
",0,7
"Facts: 
Rules:
careless [AND] courageous [AND] beautiful [IMPLY] unpleasant [PERIOD]
courageous [IMPLY] careless [PERIOD]
inquisitive [AND] unpleasant [IMPLY] ugly [PERIOD]
ugliest [AND] beautiful [IMPLY] messy [PERIOD]
ugly [AND] messy [IMPLY] careless [PERIOD]
unpleasant [IMPLY] ugly [PERIOD]
beautiful [IMPLY] inquisitive [PERIOD]
ugliest [IMPLY] courageous [PERIOD]
ugliest [IMPLY] beautiful [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   Cannot apply rule “courageous ⇒ careless” because missing: courageous.
   Cannot apply rule “ugly ∧ messy ⇒ careless” because missing: ugly, messy.
",0,2
"Facts:  Alice is bossy [PERIOD] Alice is cruel [PERIOD] Alice is beautiful [PERIOD] Alice is clumsy [PERIOD] Alice is victorious [PERIOD] Alice is long [PERIOD] Alice is tired [PERIOD] Alice is outstanding [PERIOD] Alice is fancy [PERIOD] Alice is shiny [PERIOD]
Rules:
agreeable [AND] muddy [IMPLY] fancy [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is worrisome [PERIOD] Alice is versatile [PERIOD] Alice is curious [PERIOD] Alice is stormy [PERIOD]
Rules:
curious [IMPLY] unpleasant [PERIOD]
confused [AND] enchanting [IMPLY] foolish [PERIOD]
versatile [AND] victorious [AND] thoughtless [IMPLY] confused [PERIOD]
thoughtless [AND] enchanting [AND] tame [IMPLY] worrisome [PERIOD]
embarrassed [AND] stormy [IMPLY] ambitious [PERIOD]
amused [IMPLY] beautiful [PERIOD]
friendly [IMPLY] tame [PERIOD]
enchanting [IMPLY] friendly [PERIOD]
versatile [AND] friendly [IMPLY] tame [PERIOD]
beautiful [AND] embarrassed [IMPLY] excited [PERIOD]
excited [IMPLY] silly [PERIOD]
lonely [AND] embarrassed [AND] thoughtless [IMPLY] tame [PERIOD]
long [AND] confused [AND] friendly [IMPLY] beautiful [PERIOD]
impatient [AND] thoughtless [AND] exuberant [IMPLY] stormy [PERIOD]
amused [IMPLY] confused [PERIOD]
friendly [IMPLY] worrisome [PERIOD]
versatile [AND] curious [IMPLY] intellectual [PERIOD]
enchanting [AND] elegant [IMPLY] friendly [PERIOD]
amused [AND] versatile [AND] stormy [IMPLY] broad-minded [PERIOD]
broad-minded [AND] exuberant [IMPLY] comfortable [PERIOD]
elegant [AND] victorious [AND] broad-minded [IMPLY] embarrassed [PERIOD]
confused [IMPLY] exuberant [PERIOD]
ambitious [IMPLY] stormy [PERIOD]
amused [AND] dull [AND] embarrassed [IMPLY] silly [PERIOD]
exuberant [AND] silly [IMPLY] excited [PERIOD]
ambitious [IMPLY] exuberant [PERIOD]
broad-minded [AND] amused [AND] impatient [IMPLY] worrisome [PERIOD]
excited [AND] unpleasant [IMPLY] long [PERIOD]
broad-minded [IMPLY] long [PERIOD]
worrisome [AND] victorious [AND] enchanting [IMPLY] exuberant [PERIOD]
broad-minded [AND] stormy [AND] worrisome [IMPLY] unpleasant [PERIOD]
dull [AND] long [IMPLY] comfortable [PERIOD]
stormy [AND] lonely [AND] amused [IMPLY] silly [PERIOD]
tame [AND] curious [IMPLY] friendly [PERIOD]
enchanting [AND] impatient [IMPLY] comfortable [PERIOD]
silly [IMPLY] embarrassed [PERIOD]
silly [AND] ambitious [AND] lonely [IMPLY] enchanting [PERIOD]
versatile [IMPLY] stormy [PERIOD]
comfortable [IMPLY] versatile [PERIOD]
amused [AND] worrisome [AND] stormy [IMPLY] beautiful [PERIOD]
thoughtless [AND] worrisome [IMPLY] versatile [PERIOD]
thoughtless [IMPLY] intellectual [PERIOD]
comfortable [AND] tame [IMPLY] excited [PERIOD]
comfortable [AND] unpleasant [IMPLY] versatile [PERIOD]
enchanting [IMPLY] embarrassed [PERIOD]
ambitious [AND] thoughtless [AND] amused [IMPLY] silly [PERIOD]
comfortable [AND] silly [IMPLY] embarrassed [PERIOD]
excited [AND] silly [IMPLY] embarrassed [PERIOD]
stormy [AND] long [AND] unpleasant [IMPLY] foolish [PERIOD]
silly [AND] long [IMPLY] foolish [PERIOD]
tame [IMPLY] foolish [PERIOD]
intellectual [AND] friendly [IMPLY] enchanting [PERIOD]
worrisome [AND] unpleasant [IMPLY] embarrassed [PERIOD]
confused [IMPLY] impatient [PERIOD]
silly [AND] impatient [IMPLY] lonely [PERIOD]
excited [IMPLY] confused [PERIOD]
beautiful [AND] worrisome [AND] elegant [IMPLY] victorious [PERIOD]
comfortable [AND] amused [IMPLY] impatient [PERIOD]
exuberant [IMPLY] intellectual [PERIOD]
tame [IMPLY] comfortable [PERIOD]
long [AND] silly [AND] lonely [IMPLY] confused [PERIOD]
stormy [IMPLY] intellectual [PERIOD]
exuberant [IMPLY] silly [PERIOD]
friendly [AND] beautiful [IMPLY] dull [PERIOD]
embarrassed [AND] confused [IMPLY] thoughtless [PERIOD]
curious [AND] beautiful [IMPLY] versatile [PERIOD]
enchanting [AND] silly [AND] lonely [IMPLY] long [PERIOD]
exuberant [IMPLY] curious [PERIOD]
tame [AND] ambitious [AND] broad-minded [IMPLY] curious [PERIOD]
silly [AND] impatient [AND] amused [IMPLY] versatile [PERIOD]
long [IMPLY] curious [PERIOD]
impatient [IMPLY] beautiful [PERIOD]
friendly [AND] elegant [AND] unpleasant [IMPLY] tame [PERIOD]
enchanting [IMPLY] long [PERIOD]
foolish [AND] excited [IMPLY] broad-minded [PERIOD]
enchanting [AND] dull [AND] thoughtless [IMPLY] confused [PERIOD]
dull [IMPLY] tame [PERIOD]
worrisome [IMPLY] long [PERIOD]
thoughtless [AND] intellectual [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] amused [PERIOD]
stormy [AND] intellectual [AND] ambitious [IMPLY] comfortable [PERIOD]
worrisome [AND] tame [IMPLY] broad-minded [PERIOD]
lonely [IMPLY] dull [PERIOD]
exuberant [IMPLY] worrisome [PERIOD]
beautiful [AND] stormy [AND] silly [IMPLY] confused [PERIOD]
silly [AND] enchanting [IMPLY] excited [PERIOD]
confused [AND] comfortable [AND] excited [IMPLY] enchanting [PERIOD]
impatient [AND] stormy [IMPLY] worrisome [PERIOD]
worrisome [AND] intellectual [AND] exuberant [IMPLY] elegant [PERIOD]
impatient [IMPLY] elegant [PERIOD]
elegant [AND] dull [AND] worrisome [IMPLY] friendly [PERIOD]
curious [AND] broad-minded [IMPLY] excited [PERIOD]
enchanting [AND] lonely [AND] elegant [IMPLY] long [PERIOD]
stormy [IMPLY] excited [PERIOD]
broad-minded [AND] comfortable [AND] intellectual [IMPLY] thoughtless [PERIOD]
silly [AND] embarrassed [IMPLY] unpleasant [PERIOD]
beautiful [AND] amused [AND] victorious [IMPLY] impatient [PERIOD]
embarrassed [AND] tame [AND] worrisome [IMPLY] exuberant [PERIOD]
tame [AND] amused [AND] lonely [IMPLY] victorious [PERIOD]
worrisome [AND] elegant [IMPLY] long [PERIOD]
thoughtless [AND] beautiful [AND] comfortable [IMPLY] amused [PERIOD]
long [AND] dull [AND] tame [IMPLY] exuberant [PERIOD]
dull [AND] friendly [AND] excited [IMPLY] confused [PERIOD]
tame [AND] thoughtless [AND] lonely [IMPLY] confused [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   stormy ⇒ intellectual
   stormy ⇒ excited
   excited ⇒ confused
   confused ⇒ exuberant
   worrisome ∧ intellectual ∧ exuberant ⇒ elegant
",1,5
"Facts:  Alice is scared [PERIOD] Alice is condemned [PERIOD]
Rules:
diplomatic [AND] tame [IMPLY] elegant [PERIOD]
sensible [IMPLY] light [PERIOD]
tame [AND] distinct [IMPLY] reserved [PERIOD]
frantic [AND] tame [IMPLY] popular [PERIOD]
clumsy [AND] muddy [IMPLY] busy [PERIOD]
frantic [AND] pleasant [IMPLY] rude [PERIOD]
ugliest [AND] attractive [IMPLY] condemned [PERIOD]
rational [IMPLY] condemned [PERIOD]
clumsy [IMPLY] talkative [PERIOD]
talkative [AND] rude [AND] frantic [IMPLY] homely [PERIOD]
sensible [AND] frantic [AND] homely [IMPLY] popular [PERIOD]
ugliest [AND] talented [AND] condemned [IMPLY] ambitious [PERIOD]
scared [AND] talented [AND] pleasant [IMPLY] enchanting [PERIOD]
attractive [AND] talented [IMPLY] light [PERIOD]
ambitious [AND] clumsy [AND] tame [IMPLY] fearless [PERIOD]
reserved [AND] attractive [AND] diplomatic [IMPLY] popular [PERIOD]
sensible [AND] ugliest [AND] scared [IMPLY] popular [PERIOD]
busy [AND] clumsy [AND] attractive [IMPLY] pleasant [PERIOD]
scared [AND] light [AND] diplomatic [IMPLY] muddy [PERIOD]
rude [AND] enchanting [AND] homely [IMPLY] elegant [PERIOD]
light [IMPLY] frantic [PERIOD]
scared [AND] light [AND] rude [IMPLY] intellectual [PERIOD]
popular [IMPLY] condemned [PERIOD]
popular [AND] elegant [AND] reserved [IMPLY] rude [PERIOD]
distinct [IMPLY] condemned [PERIOD]
popular [IMPLY] ambitious [PERIOD]
frantic [AND] fearless [IMPLY] sensible [PERIOD]
attractive [IMPLY] enchanting [PERIOD]
rational [AND] ugliest [AND] enchanting [IMPLY] tame [PERIOD]
sensible [AND] tame [AND] rude [IMPLY] condemned [PERIOD]
talented [AND] elegant [AND] rational [IMPLY] intellectual [PERIOD]
reserved [AND] clumsy [AND] pleasant [IMPLY] distinct [PERIOD]
diplomatic [AND] ugliest [IMPLY] ambitious [PERIOD]
light [AND] fearless [AND] enchanting [IMPLY] ambitious [PERIOD]
popular [AND] talented [IMPLY] scared [PERIOD]
distinct [IMPLY] tame [PERIOD]
attractive [AND] distinct [IMPLY] intellectual [PERIOD]
talented [AND] elegant [IMPLY] reserved [PERIOD]
light [AND] diplomatic [AND] reserved [IMPLY] attractive [PERIOD]
pleasant [AND] light [AND] muddy [IMPLY] reserved [PERIOD]
rational [IMPLY] intellectual [PERIOD]
ambitious [IMPLY] pleasant [PERIOD]
ugliest [AND] diplomatic [AND] rational [IMPLY] homely [PERIOD]
talented [IMPLY] attractive [PERIOD]
enchanting [AND] ugliest [IMPLY] attractive [PERIOD]
ambitious [AND] sensible [IMPLY] light [PERIOD]
fearless [AND] distinct [AND] calm [IMPLY] diplomatic [PERIOD]
intellectual [IMPLY] attractive [PERIOD]
elegant [AND] diplomatic [AND] frantic [IMPLY] condemned [PERIOD]
reserved [AND] enchanting [IMPLY] fearless [PERIOD]
busy [AND] talkative [AND] popular [IMPLY] reserved [PERIOD]
ambitious [AND] distinct [AND] popular [IMPLY] pleasant [PERIOD]
attractive [AND] distinct [AND] homely [IMPLY] sensible [PERIOD]
ugliest [AND] scared [IMPLY] frantic [PERIOD]
rude [AND] calm [IMPLY] reserved [PERIOD]
ambitious [IMPLY] enchanting [PERIOD]
intellectual [IMPLY] enchanting [PERIOD]
intellectual [AND] elegant [AND] muddy [IMPLY] scared [PERIOD]
ugliest [IMPLY] talented [PERIOD]
sensible [AND] light [AND] rude [IMPLY] pleasant [PERIOD]
condemned [AND] elegant [IMPLY] light [PERIOD]
elegant [AND] attractive [AND] rude [IMPLY] ugliest [PERIOD]
tame [IMPLY] talented [PERIOD]
attractive [AND] rational [IMPLY] frantic [PERIOD]
fearless [IMPLY] calm [PERIOD]
clumsy [AND] reserved [AND] busy [IMPLY] frantic [PERIOD]
homely [AND] talented [AND] clumsy [IMPLY] attractive [PERIOD]
talkative [IMPLY] scared [PERIOD]
reserved [AND] intellectual [AND] popular [IMPLY] light [PERIOD]
fearless [AND] reserved [IMPLY] scared [PERIOD]
intellectual [AND] homely [AND] busy [IMPLY] popular [PERIOD]
calm [IMPLY] talented [PERIOD]
pleasant [IMPLY] sensible [PERIOD]
condemned [IMPLY] talkative [PERIOD]
muddy [AND] rational [IMPLY] intellectual [PERIOD]
elegant [AND] frantic [AND] rational [IMPLY] calm [PERIOD]
homely [AND] clumsy [IMPLY] ambitious [PERIOD]
diplomatic [AND] busy [AND] scared [IMPLY] popular [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   Cannot apply rule “ugliest ∧ talented ∧ condemned ⇒ ambitious” because missing: ugliest, talented.
   Cannot apply rule “popular ⇒ ambitious” because missing: popular.
   Cannot apply rule “diplomatic ∧ ugliest ⇒ ambitious” because missing: diplomatic, ugliest.
   Cannot apply rule “light ∧ fearless ∧ enchanting ⇒ ambitious” because missing: light, fearless, enchanting.
   Cannot apply rule “homely ∧ clumsy ⇒ ambitious” because missing: homely, clumsy.
",0,5
"Facts:  Alice is pleasant [PERIOD]
Rules:
inexpensive [IMPLY] combative [PERIOD]
cute [AND] disobedient [AND] fancy [IMPLY] inexpensive [PERIOD]
scared [AND] inexpensive [AND] bright [IMPLY] sincere [PERIOD]
pleasant [AND] tidy [AND] fancy [IMPLY] cute [PERIOD]
zealous [AND] cute [AND] adorable [IMPLY] thoughtless [PERIOD]
tidy [AND] enchanting [AND] gifted [IMPLY] bright [PERIOD]
combative [IMPLY] rude [PERIOD]
gifted [AND] inexpensive [IMPLY] enchanting [PERIOD]
wrong [AND] inexpensive [AND] lonely [IMPLY] rude [PERIOD]
rude [AND] lonely [IMPLY] horrible [PERIOD]
horrible [AND] rude [AND] fancy [IMPLY] different [PERIOD]
combative [IMPLY] tender [PERIOD]
disobedient [IMPLY] fancy [PERIOD]
cute [AND] lonely [AND] tidy [IMPLY] horrible [PERIOD]
scared [IMPLY] wrong [PERIOD]
gifted [AND] disobedient [AND] bright [IMPLY] inexpensive [PERIOD]
different [IMPLY] rude [PERIOD]
rude [AND] combative [AND] adorable [IMPLY] zealous [PERIOD]
scared [AND] fancy [IMPLY] tender [PERIOD]
different [AND] pleasant [IMPLY] tender [PERIOD]
disobedient [AND] cute [AND] inexpensive [IMPLY] sincere [PERIOD]
scared [IMPLY] rude [PERIOD]
horrible [IMPLY] disobedient [PERIOD]
disobedient [AND] adorable [IMPLY] tender [PERIOD]
zealous [AND] inexpensive [AND] tidy [IMPLY] rude [PERIOD]
pleasant [AND] lonely [IMPLY] scared [PERIOD]
cute [AND] inexpensive [AND] zealous [IMPLY] wrong [PERIOD]
different [AND] combative [AND] fancy [IMPLY] horrible [PERIOD]
tense [AND] zealous [AND] sincere [IMPLY] different [PERIOD]
zealous [AND] bright [AND] scared [IMPLY] sincere [PERIOD]
cute [IMPLY] lonely [PERIOD]
tidy [AND] adorable [AND] enchanting [IMPLY] different [PERIOD]
rude [AND] wrong [AND] sincere [IMPLY] inexpensive [PERIOD]
scared [AND] enchanting [IMPLY] adorable [PERIOD]
lonely [IMPLY] enchanting [PERIOD]
inexpensive [AND] tender [AND] horrible [IMPLY] different [PERIOD]
thoughtless [AND] fancy [AND] cute [IMPLY] sincere [PERIOD]
cute [AND] scared [IMPLY] tense [PERIOD]
disobedient [AND] zealous [IMPLY] bright [PERIOD]
fancy [AND] inexpensive [IMPLY] tender [PERIOD]
bright [AND] different [AND] tidy [IMPLY] combative [PERIOD]
inexpensive [AND] combative [IMPLY] horrible [PERIOD]
thoughtless [AND] pleasant [IMPLY] adorable [PERIOD]
different [AND] enchanting [IMPLY] adorable [PERIOD]
combative [IMPLY] gifted [PERIOD]
bright [AND] disobedient [AND] tender [IMPLY] fancy [PERIOD]
rude [AND] horrible [AND] different [IMPLY] disobedient [PERIOD]
tense [AND] tidy [AND] inexpensive [IMPLY] thoughtless [PERIOD]
cute [AND] horrible [AND] fancy [IMPLY] sincere [PERIOD]
inexpensive [IMPLY] zealous [PERIOD]
disobedient [IMPLY] zealous [PERIOD]
cute [AND] sincere [AND] wrong [IMPLY] thoughtless [PERIOD]
tender [AND] fancy [AND] gifted [IMPLY] tidy [PERIOD]
wrong [IMPLY] combative [PERIOD]
different [AND] rude [IMPLY] pleasant [PERIOD]
enchanting [IMPLY] rude [PERIOD]
different [AND] disobedient [AND] wrong [IMPLY] horrible [PERIOD]
pleasant [AND] sincere [AND] cute [IMPLY] rude [PERIOD]
enchanting [AND] bright [AND] wrong [IMPLY] horrible [PERIOD]
pleasant [AND] cute [AND] horrible [IMPLY] different [PERIOD]
gifted [IMPLY] tidy [PERIOD]
disobedient [AND] tender [IMPLY] bright [PERIOD]
combative [AND] scared [AND] zealous [IMPLY] pleasant [PERIOD]
adorable [AND] different [AND] inexpensive [IMPLY] tender [PERIOD]
combative [AND] horrible [AND] adorable [IMPLY] enchanting [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   Cannot apply rule “inexpensive ⇒ combative” because missing: inexpensive.
   Cannot apply rule “bright ∧ different ∧ tidy ⇒ combative” because missing: bright, different, tidy.
   Cannot apply rule “wrong ⇒ combative” because missing: wrong.
",0,3
"Facts:  Alice is mysterious [PERIOD] Alice is helpless [PERIOD] Alice is homely [PERIOD] Alice is gifted [PERIOD] Alice is courageous [PERIOD]
Rules:
mysterious [AND] helpless [AND] homely [IMPLY] gifted [PERIOD]
gifted [AND] homely [AND] mysterious [IMPLY] helpless [PERIOD]
mysterious [IMPLY] homely [PERIOD]
gifted [AND] homely [IMPLY] mysterious [PERIOD]
courageous [AND] mysterious [IMPLY] helpless [PERIOD]
gifted [AND] courageous [IMPLY] mysterious [PERIOD]
courageous [IMPLY] helpless [PERIOD]
homely [IMPLY] courageous [PERIOD]
homely [AND] mysterious [IMPLY] helpless [PERIOD]
courageous [AND] gifted [AND] mysterious [IMPLY] homely [PERIOD]
mysterious [AND] courageous [AND] homely [IMPLY] gifted [PERIOD]
courageous [AND] helpless [AND] homely [IMPLY] gifted [PERIOD]
homely [AND] gifted [IMPLY] courageous [PERIOD]
helpless [AND] gifted [IMPLY] homely [PERIOD]
gifted [IMPLY] mysterious [PERIOD]
mysterious [AND] helpless [IMPLY] homely [PERIOD]
mysterious [AND] helpless [IMPLY] courageous [PERIOD]
mysterious [AND] gifted [IMPLY] homely [PERIOD]
mysterious [IMPLY] helpless [PERIOD]
courageous [AND] helpless [IMPLY] homely [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
adorable [AND] lonely [AND] friendly [IMPLY] good [PERIOD]
fine [IMPLY] old-fashioned [PERIOD]
shy [IMPLY] cruel [PERIOD]
condemned [IMPLY] bored [PERIOD]
bored [AND] lonely [IMPLY] attentive [PERIOD]
friendly [AND] shy [AND] selfish [IMPLY] beautiful [PERIOD]
stupid [AND] impartial [IMPLY] fine [PERIOD]
enchanting [AND] bored [IMPLY] sensible [PERIOD]
condemned [AND] adorable [IMPLY] cruel [PERIOD]
impartial [IMPLY] wandering [PERIOD]
beautiful [IMPLY] attentive [PERIOD]
bored [AND] condemned [IMPLY] adorable [PERIOD]
condemned [AND] dull [IMPLY] confident [PERIOD]
selfish [AND] fine [AND] stupid [IMPLY] good [PERIOD]
adorable [AND] wandering [IMPLY] condemned [PERIOD]
enchanting [AND] dull [AND] attentive [IMPLY] stupid [PERIOD]
attractive [AND] good [IMPLY] lonely [PERIOD]
beautiful [AND] attentive [IMPLY] dull [PERIOD]
bored [IMPLY] lonely [PERIOD]
fine [AND] confident [AND] wandering [IMPLY] lonely [PERIOD]
old-fashioned [IMPLY] friendly [PERIOD]
dull [AND] impartial [AND] confident [IMPLY] wandering [PERIOD]
dull [AND] old-fashioned [IMPLY] attentive [PERIOD]
cruel [IMPLY] stupid [PERIOD]
impartial [IMPLY] good [PERIOD]
selfish [IMPLY] attentive [PERIOD]
condemned [IMPLY] enchanting [PERIOD]
adorable [AND] enchanting [AND] impartial [IMPLY] cruel [PERIOD]
wandering [AND] attentive [IMPLY] old-fashioned [PERIOD]
bored [AND] sensible [AND] beautiful [IMPLY] good [PERIOD]
selfish [AND] old-fashioned [AND] impartial [IMPLY] friendly [PERIOD]
cruel [AND] shy [AND] condemned [IMPLY] wandering [PERIOD]
good [AND] friendly [IMPLY] shy [PERIOD]
attentive [AND] attractive [AND] selfish [IMPLY] stupid [PERIOD]
beautiful [AND] enchanting [AND] adorable [IMPLY] sensible [PERIOD]
good [AND] condemned [AND] attractive [IMPLY] enchanting [PERIOD]
sensible [IMPLY] adorable [PERIOD]
bored [IMPLY] adorable [PERIOD]
wandering [AND] friendly [IMPLY] lonely [PERIOD]
attractive [IMPLY] fine [PERIOD]
attractive [IMPLY] lonely [PERIOD]
fine [IMPLY] good [PERIOD]
impartial [IMPLY] friendly [PERIOD]
condemned [IMPLY] friendly [PERIOD]
bored [AND] shy [AND] confident [IMPLY] lonely [PERIOD]
attentive [AND] friendly [IMPLY] lonely [PERIOD]
attentive [AND] adorable [AND] friendly [IMPLY] fine [PERIOD]
sensible [AND] adorable [IMPLY] stupid [PERIOD]
cruel [AND] attentive [AND] wandering [IMPLY] beautiful [PERIOD]
adorable [IMPLY] selfish [PERIOD]
old-fashioned [AND] good [IMPLY] wandering [PERIOD]
dull [IMPLY] attentive [PERIOD]
attentive [IMPLY] bored [PERIOD]
old-fashioned [IMPLY] wandering [PERIOD]
bored [AND] friendly [IMPLY] sensible [PERIOD]
selfish [AND] confident [AND] fine [IMPLY] enchanting [PERIOD]
shy [AND] friendly [IMPLY] bored [PERIOD]
good [AND] condemned [AND] wandering [IMPLY] adorable [PERIOD]
enchanting [IMPLY] impartial [PERIOD]
bored [AND] cruel [IMPLY] dull [PERIOD]
stupid [IMPLY] adorable [PERIOD]
bored [IMPLY] dull [PERIOD]
dull [AND] wandering [AND] selfish [IMPLY] stupid [PERIOD]
impartial [AND] adorable [IMPLY] sensible [PERIOD]
selfish [AND] sensible [AND] attentive [IMPLY] wandering [PERIOD]
stupid [IMPLY] attentive [PERIOD]
beautiful [AND] bored [AND] cruel [IMPLY] enchanting [PERIOD]
wandering [AND] attractive [AND] enchanting [IMPLY] cruel [PERIOD]
friendly [AND] enchanting [AND] lonely [IMPLY] confident [PERIOD]
confident [AND] lonely [IMPLY] beautiful [PERIOD]
attractive [IMPLY] cruel [PERIOD]
shy [IMPLY] enchanting [PERIOD]
dull [AND] lonely [AND] selfish [IMPLY] attentive [PERIOD]
fine [AND] cruel [IMPLY] confident [PERIOD]
shy [AND] confident [IMPLY] fine [PERIOD]
bored [IMPLY] fine [PERIOD]
stupid [AND] beautiful [AND] friendly [IMPLY] bored [PERIOD]
confident [AND] condemned [IMPLY] old-fashioned [PERIOD]
enchanting [AND] impartial [IMPLY] fine [PERIOD]
adorable [AND] attentive [AND] confident [IMPLY] impartial [PERIOD]
confident [AND] fine [AND] selfish [IMPLY] beautiful [PERIOD]
attractive [AND] wandering [IMPLY] stupid [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
   Cannot apply rule “attractive ∧ good ⇒ lonely” because missing: attractive, good.
   Cannot apply rule “bored ⇒ lonely” because missing: bored.
   Cannot apply rule “fine ∧ confident ∧ wandering ⇒ lonely” because missing: fine, confident, wandering.
   Cannot apply rule “wandering ∧ friendly ⇒ lonely” because missing: wandering, friendly.
   Cannot apply rule “attractive ⇒ lonely” because missing: attractive.
   Cannot apply rule “bored ∧ shy ∧ confident ⇒ lonely” because missing: bored, shy, confident.
   Cannot apply rule “attentive ∧ friendly ⇒ lonely” because missing: attentive, friendly.
",0,7
"Facts:  Alice is rude [PERIOD] Alice is pessimistic [PERIOD] Alice is straightforward [PERIOD] Alice is outstanding [PERIOD] Alice is shiny [PERIOD] Alice is unpleasant [PERIOD] Alice is homely [PERIOD] Alice is ugliest [PERIOD] Alice is elegant [PERIOD] Alice is gorgeous [PERIOD] Alice is broad-minded [PERIOD] Alice is perfect [PERIOD] Alice is sincere [PERIOD] Alice is hypocritical [PERIOD] Alice is cute [PERIOD]
Rules:
wide-eyed [AND] muddy [AND] bossy [IMPLY] outstanding [PERIOD]
comfortable [AND] elegant [AND] courageous [IMPLY] broad-minded [PERIOD]
courageous [IMPLY] cooperative [PERIOD]
elegant [AND] rude [IMPLY] broad-minded [PERIOD]
foolish [AND] pessimistic [IMPLY] gorgeous [PERIOD]
broad-minded [AND] bossy [IMPLY] pessimistic [PERIOD]
outstanding [IMPLY] homely [PERIOD]
ugliest [AND] cute [AND] comfortable [IMPLY] wrong [PERIOD]
outstanding [IMPLY] broad-minded [PERIOD]
gorgeous [AND] foolish [IMPLY] bossy [PERIOD]
cute [IMPLY] elegant [PERIOD]
courageous [AND] bossy [IMPLY] homely [PERIOD]
sincere [AND] outstanding [AND] homely [IMPLY] hypocritical [PERIOD]
straightforward [AND] unpleasant [AND] perfect [IMPLY] broad-minded [PERIOD]
straightforward [AND] ugliest [AND] outstanding [IMPLY] broad-minded [PERIOD]
homely [AND] bossy [IMPLY] selfish [PERIOD]
wrong [AND] ugliest [IMPLY] homely [PERIOD]
cute [AND] homely [IMPLY] gorgeous [PERIOD]
ugliest [AND] gorgeous [AND] cooperative [IMPLY] bossy [PERIOD]
shiny [AND] perfect [AND] bossy [IMPLY] comfortable [PERIOD]
pessimistic [AND] grumpy [AND] gorgeous [IMPLY] straightforward [PERIOD]
rude [AND] homely [AND] unpleasant [IMPLY] elegant [PERIOD]
grumpy [AND] wrong [AND] foolish [IMPLY] wide-eyed [PERIOD]
perfect [AND] selfish [AND] shiny [IMPLY] wrong [PERIOD]
sincere [IMPLY] outstanding [PERIOD]
straightforward [AND] ugliest [IMPLY] muddy [PERIOD]
gorgeous [AND] perfect [AND] sincere [IMPLY] comfortable [PERIOD]
sincere [AND] foolish [IMPLY] muddy [PERIOD]
grumpy [IMPLY] sincere [PERIOD]
ugliest [IMPLY] muddy [PERIOD]
grumpy [IMPLY] rude [PERIOD]
hypocritical [AND] wide-eyed [AND] broad-minded [IMPLY] rude [PERIOD]
unpleasant [AND] cooperative [IMPLY] straightforward [PERIOD]
sincere [AND] cooperative [AND] wide-eyed [IMPLY] pessimistic [PERIOD]
wrong [IMPLY] straightforward [PERIOD]
broad-minded [AND] shiny [IMPLY] outstanding [PERIOD]
muddy [IMPLY] courageous [PERIOD]
pessimistic [IMPLY] perfect [PERIOD]
gorgeous [IMPLY] shiny [PERIOD]
Query: Alice is selfish [PERIOD]","Proof chain:
   straightforward ∧ ugliest ⇒ muddy
   muddy ⇒ courageous
   courageous ⇒ cooperative
   ugliest ∧ gorgeous ∧ cooperative ⇒ bossy
   homely ∧ bossy ⇒ selfish
",1,5
"Facts: 
Rules:
outrageous [AND] hypocritical [AND] victorious [IMPLY] attractive [PERIOD]
hypocritical [AND] talkative [AND] attractive [IMPLY] victorious [PERIOD]
talkative [AND] attractive [AND] victorious [IMPLY] outrageous [PERIOD]
outrageous [AND] attractive [AND] victorious [IMPLY] talkative [PERIOD]
hypocritical [AND] attractive [IMPLY] victorious [PERIOD]
outrageous [IMPLY] hypocritical [PERIOD]
hypocritical [AND] talkative [AND] victorious [IMPLY] outrageous [PERIOD]
victorious [IMPLY] outrageous [PERIOD]
talkative [AND] hypocritical [AND] outrageous [IMPLY] attractive [PERIOD]
attractive [AND] talkative [AND] outrageous [IMPLY] victorious [PERIOD]
victorious [IMPLY] attractive [PERIOD]
talkative [IMPLY] attractive [PERIOD]
hypocritical [AND] talkative [IMPLY] victorious [PERIOD]
hypocritical [AND] talkative [IMPLY] outrageous [PERIOD]
outrageous [AND] attractive [AND] hypocritical [IMPLY] talkative [PERIOD]
hypocritical [AND] talkative [IMPLY] attractive [PERIOD]
victorious [AND] hypocritical [IMPLY] attractive [PERIOD]
victorious [IMPLY] hypocritical [PERIOD]
attractive [AND] outrageous [IMPLY] hypocritical [PERIOD]
talkative [AND] hypocritical [AND] outrageous [IMPLY] victorious [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   Cannot apply rule “hypocritical ∧ talkative ∧ attractive ⇒ victorious” because missing: hypocritical, talkative, attractive.
   Cannot apply rule “hypocritical ∧ attractive ⇒ victorious” because missing: hypocritical, attractive.
   Cannot apply rule “attractive ∧ talkative ∧ outrageous ⇒ victorious” because missing: attractive, talkative, outrageous.
   Cannot apply rule “hypocritical ∧ talkative ⇒ victorious” because missing: hypocritical, talkative.
   Cannot apply rule “talkative ∧ hypocritical ∧ outrageous ⇒ victorious” because missing: talkative, hypocritical, outrageous.
",0,5
"Facts:  Alice is outrageous [PERIOD]
Rules:
tame [AND] spotless [AND] shy [IMPLY] easy [PERIOD]
shy [AND] attentive [AND] tired [IMPLY] polite [PERIOD]
famous [AND] broad-minded [IMPLY] outstanding [PERIOD]
broad-minded [AND] outrageous [AND] tired [IMPLY] attentive [PERIOD]
witty [AND] sensible [IMPLY] foolish [PERIOD]
perfect [AND] easy [AND] exuberant [IMPLY] tender [PERIOD]
good [AND] shy [IMPLY] exuberant [PERIOD]
easy [AND] plain [IMPLY] shy [PERIOD]
exuberant [AND] outrageous [AND] embarrassed [IMPLY] famous [PERIOD]
tired [AND] outstanding [AND] witty [IMPLY] famous [PERIOD]
spotless [AND] shy [IMPLY] embarrassed [PERIOD]
spotless [AND] foolish [IMPLY] outstanding [PERIOD]
attentive [IMPLY] good [PERIOD]
exuberant [IMPLY] famous [PERIOD]
spotless [AND] fancy [AND] perfect [IMPLY] famous [PERIOD]
plain [AND] witty [IMPLY] sensible [PERIOD]
exuberant [IMPLY] good [PERIOD]
tame [IMPLY] aggressive [PERIOD]
exuberant [AND] agreeable [IMPLY] good [PERIOD]
good [AND] straightforward [IMPLY] talkative [PERIOD]
agreeable [IMPLY] witty [PERIOD]
aggressive [IMPLY] embarrassed [PERIOD]
agreeable [AND] perfect [AND] spotless [IMPLY] straightforward [PERIOD]
embarrassed [IMPLY] straightforward [PERIOD]
polite [AND] agreeable [AND] pessimistic [IMPLY] foolish [PERIOD]
shy [AND] plain [AND] witty [IMPLY] sensible [PERIOD]
sensible [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] pessimistic [PERIOD]
tame [IMPLY] outstanding [PERIOD]
aggressive [AND] spotless [AND] foolish [IMPLY] sensible [PERIOD]
attentive [AND] polite [AND] pessimistic [IMPLY] spotless [PERIOD]
good [IMPLY] fancy [PERIOD]
straightforward [AND] blushing [AND] foolish [IMPLY] broad-minded [PERIOD]
outrageous [AND] agreeable [AND] tired [IMPLY] attentive [PERIOD]
crowded [AND] plain [AND] foolish [IMPLY] outstanding [PERIOD]
tired [AND] spotless [IMPLY] weary [PERIOD]
tender [AND] famous [IMPLY] good [PERIOD]
attentive [IMPLY] foolish [PERIOD]
exuberant [IMPLY] perfect [PERIOD]
foolish [AND] straightforward [AND] weary [IMPLY] embarrassed [PERIOD]
easy [IMPLY] talkative [PERIOD]
blushing [AND] attentive [IMPLY] witty [PERIOD]
broad-minded [AND] spotless [AND] weary [IMPLY] good [PERIOD]
good [AND] plain [AND] witty [IMPLY] spotless [PERIOD]
outrageous [AND] perfect [AND] aggressive [IMPLY] straightforward [PERIOD]
crowded [AND] outstanding [IMPLY] exuberant [PERIOD]
aggressive [IMPLY] talkative [PERIOD]
outrageous [AND] foolish [AND] polite [IMPLY] crowded [PERIOD]
exuberant [AND] tender [IMPLY] pessimistic [PERIOD]
polite [AND] fancy [AND] perfect [IMPLY] attentive [PERIOD]
famous [AND] fancy [IMPLY] pessimistic [PERIOD]
tame [AND] broad-minded [IMPLY] tender [PERIOD]
perfect [AND] exuberant [AND] tender [IMPLY] tired [PERIOD]
exuberant [AND] agreeable [IMPLY] embarrassed [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
   Cannot apply rule “attentive ⇒ good” because missing: attentive.
   Cannot apply rule “exuberant ⇒ good” because missing: exuberant.
   Cannot apply rule “exuberant ∧ agreeable ⇒ good” because missing: exuberant, agreeable.
   Cannot apply rule “tender ∧ famous ⇒ good” because missing: tender, famous.
   Cannot apply rule “broad-minded ∧ spotless ∧ weary ⇒ good” because missing: broad-minded, spotless, weary.
",0,5
"Facts:  Alice is clean [PERIOD] Alice is embarrassed [PERIOD] Alice is sensible [PERIOD] Alice is anxious [PERIOD] Alice is inquisitive [PERIOD] Alice is tame [PERIOD] Alice is dull [PERIOD] Alice is condemned [PERIOD]
Rules:
anxious [IMPLY] embarrassed [PERIOD]
wrong [AND] vivacious [AND] tired [IMPLY] inquisitive [PERIOD]
vivacious [AND] comfortable [AND] bright [IMPLY] sleepy [PERIOD]
wrong [AND] embarrassed [AND] sleepy [IMPLY] clean [PERIOD]
reserved [AND] scared [AND] anxious [IMPLY] wrong [PERIOD]
wrong [AND] comfortable [AND] vivacious [IMPLY] enchanting [PERIOD]
glamorous [AND] enchanting [IMPLY] sleepy [PERIOD]
wrong [AND] inquisitive [IMPLY] gleaming [PERIOD]
tired [AND] condemned [IMPLY] bright [PERIOD]
mean [AND] enchanting [IMPLY] gleaming [PERIOD]
bright [IMPLY] condemned [PERIOD]
gleaming [IMPLY] sensible [PERIOD]
wide-eyed [AND] tame [IMPLY] embarrassed [PERIOD]
embarrassed [AND] wrong [IMPLY] vivacious [PERIOD]
clean [AND] scared [IMPLY] sensible [PERIOD]
glamorous [IMPLY] hypocritical [PERIOD]
wrong [AND] sleepy [IMPLY] tired [PERIOD]
embarrassed [AND] gleaming [AND] anxious [IMPLY] wrong [PERIOD]
sleepy [IMPLY] clean [PERIOD]
tired [AND] enchanting [AND] wrong [IMPLY] anxious [PERIOD]
embarrassed [IMPLY] bright [PERIOD]
tame [IMPLY] comfortable [PERIOD]
tired [AND] scared [AND] enchanting [IMPLY] embarrassed [PERIOD]
bright [AND] inquisitive [AND] dull [IMPLY] sleepy [PERIOD]
vivacious [AND] wide-eyed [AND] tame [IMPLY] tired [PERIOD]
inquisitive [AND] dull [AND] clean [IMPLY] vivacious [PERIOD]
sensible [AND] wrong [IMPLY] gleaming [PERIOD]
glamorous [AND] dull [AND] bright [IMPLY] wide-eyed [PERIOD]
bright [AND] sleepy [AND] sensible [IMPLY] embarrassed [PERIOD]
condemned [AND] gleaming [AND] dull [IMPLY] mean [PERIOD]
inquisitive [AND] clean [IMPLY] anxious [PERIOD]
glamorous [AND] reserved [IMPLY] enchanting [PERIOD]
sensible [AND] hypocritical [IMPLY] wrong [PERIOD]
tired [IMPLY] condemned [PERIOD]
mean [AND] inquisitive [AND] gleaming [IMPLY] hypocritical [PERIOD]
enchanting [AND] clean [AND] glamorous [IMPLY] inquisitive [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   Cannot apply rule “reserved ∧ scared ∧ anxious ⇒ wrong” because missing: reserved, scared.
   Cannot apply rule “embarrassed ∧ gleaming ∧ anxious ⇒ wrong” because missing: gleaming.
   Cannot apply rule “sensible ∧ hypocritical ⇒ wrong” because missing: hypocritical.
",0,3
"Facts:  Alice is confused [PERIOD] Alice is tense [PERIOD] Alice is outrageous [PERIOD]
Rules:
calm [IMPLY] spotless [PERIOD]
agreeable [AND] shy [AND] tense [IMPLY] fragile [PERIOD]
confused [AND] fragile [AND] outrageous [IMPLY] shy [PERIOD]
fragile [AND] nervous [IMPLY] spotless [PERIOD]
calm [AND] scared [AND] fragile [IMPLY] elegant [PERIOD]
outrageous [IMPLY] confused [PERIOD]
elegant [AND] spotless [AND] nervous [IMPLY] quaint [PERIOD]
agreeable [IMPLY] tense [PERIOD]
long [IMPLY] elegant [PERIOD]
tense [AND] gorgeous [IMPLY] shy [PERIOD]
nervous [AND] long [IMPLY] spotless [PERIOD]
agreeable [AND] long [AND] tense [IMPLY] naughty [PERIOD]
confused [IMPLY] fragile [PERIOD]
shy [IMPLY] quaint [PERIOD]
long [IMPLY] naughty [PERIOD]
calm [AND] fragile [IMPLY] outrageous [PERIOD]
confused [AND] long [AND] quaint [IMPLY] elegant [PERIOD]
fragile [IMPLY] elegant [PERIOD]
naughty [IMPLY] confused [PERIOD]
naughty [AND] nervous [IMPLY] calm [PERIOD]
elegant [AND] shy [IMPLY] confused [PERIOD]
gorgeous [IMPLY] quaint [PERIOD]
gorgeous [AND] nervous [AND] shy [IMPLY] elegant [PERIOD]
gorgeous [IMPLY] naughty [PERIOD]
elegant [IMPLY] spotless [PERIOD]
shy [AND] gorgeous [AND] naughty [IMPLY] confused [PERIOD]
naughty [AND] long [IMPLY] calm [PERIOD]
naughty [AND] shy [IMPLY] gorgeous [PERIOD]
scared [AND] confused [AND] quaint [IMPLY] calm [PERIOD]
scared [AND] gorgeous [IMPLY] long [PERIOD]
tense [IMPLY] quaint [PERIOD]
fragile [IMPLY] long [PERIOD]
spotless [IMPLY] gorgeous [PERIOD]
calm [AND] long [AND] naughty [IMPLY] outrageous [PERIOD]
tense [AND] spotless [IMPLY] nervous [PERIOD]
nervous [AND] elegant [IMPLY] tense [PERIOD]
fragile [AND] quaint [AND] nervous [IMPLY] shy [PERIOD]
spotless [IMPLY] shy [PERIOD]
fragile [AND] outrageous [IMPLY] spotless [PERIOD]
calm [IMPLY] quaint [PERIOD]
confused [AND] agreeable [AND] tense [IMPLY] naughty [PERIOD]
nervous [AND] quaint [AND] spotless [IMPLY] confused [PERIOD]
naughty [AND] elegant [AND] shy [IMPLY] nervous [PERIOD]
confused [IMPLY] shy [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   confused ⇒ fragile
   fragile ⇒ long
   long ⇒ naughty
   confused ⇒ fragile
   fragile ⇒ long
   naughty ∧ long ⇒ calm
",1,6
"Facts:  Alice is condemned [PERIOD] Alice is hurt [PERIOD] Alice is disobedient [PERIOD] Alice is crowded [PERIOD] Alice is dull [PERIOD] Alice is weary [PERIOD]
Rules:
precious [AND] condemned [AND] pessimistic [IMPLY] outrageous [PERIOD]
weary [AND] famous [IMPLY] hurt [PERIOD]
hurt [AND] cute [IMPLY] crowded [PERIOD]
joyous [IMPLY] dull [PERIOD]
condemned [AND] hurt [IMPLY] famous [PERIOD]
outrageous [AND] famous [IMPLY] joyous [PERIOD]
confident [AND] precious [IMPLY] weary [PERIOD]
hurt [AND] precious [AND] ugly [IMPLY] weary [PERIOD]
pessimistic [AND] condemned [IMPLY] joyous [PERIOD]
outrageous [AND] homely [AND] confused [IMPLY] hurt [PERIOD]
ugly [AND] careless [AND] crowded [IMPLY] confused [PERIOD]
outrageous [AND] ugly [AND] homely [IMPLY] condemned [PERIOD]
careless [AND] weary [AND] hurt [IMPLY] homely [PERIOD]
careless [IMPLY] condemned [PERIOD]
precious [AND] careless [AND] confused [IMPLY] hurt [PERIOD]
precious [AND] famous [IMPLY] condemned [PERIOD]
confident [AND] weary [IMPLY] pessimistic [PERIOD]
weary [AND] pessimistic [IMPLY] homely [PERIOD]
outrageous [IMPLY] hurt [PERIOD]
joyous [AND] ugly [AND] crowded [IMPLY] confident [PERIOD]
crowded [AND] homely [IMPLY] famous [PERIOD]
hurt [AND] ugly [AND] pessimistic [IMPLY] crowded [PERIOD]
condemned [AND] joyous [IMPLY] crowded [PERIOD]
hurt [AND] dull [IMPLY] cute [PERIOD]
vivacious [AND] weary [IMPLY] crowded [PERIOD]
careless [AND] vivacious [IMPLY] weary [PERIOD]
disobedient [AND] crowded [AND] careless [IMPLY] confused [PERIOD]
ugly [AND] pessimistic [AND] disobedient [IMPLY] outrageous [PERIOD]
crowded [IMPLY] pessimistic [PERIOD]
cute [AND] careless [AND] pessimistic [IMPLY] ugly [PERIOD]
joyous [AND] ugly [AND] condemned [IMPLY] vivacious [PERIOD]
careless [AND] weary [AND] joyous [IMPLY] famous [PERIOD]
joyous [AND] famous [AND] weary [IMPLY] careless [PERIOD]
confused [IMPLY] vivacious [PERIOD]
confident [AND] homely [AND] famous [IMPLY] pessimistic [PERIOD]
condemned [AND] homely [IMPLY] weary [PERIOD]
careless [IMPLY] precious [PERIOD]
hurt [AND] disobedient [IMPLY] famous [PERIOD]
famous [IMPLY] careless [PERIOD]
dull [AND] homely [AND] pessimistic [IMPLY] careless [PERIOD]
cute [AND] careless [AND] hurt [IMPLY] confused [PERIOD]
outrageous [IMPLY] vivacious [PERIOD]
pessimistic [AND] disobedient [IMPLY] ugly [PERIOD]
homely [AND] ugly [IMPLY] cute [PERIOD]
weary [AND] dull [AND] careless [IMPLY] ugly [PERIOD]
confident [AND] condemned [IMPLY] homely [PERIOD]
vivacious [AND] disobedient [IMPLY] condemned [PERIOD]
weary [IMPLY] confident [PERIOD]
weary [AND] careless [IMPLY] dull [PERIOD]
vivacious [AND] dull [IMPLY] outrageous [PERIOD]
cute [AND] ugly [AND] weary [IMPLY] homely [PERIOD]
joyous [IMPLY] precious [PERIOD]
confused [IMPLY] famous [PERIOD]
confident [IMPLY] careless [PERIOD]
joyous [IMPLY] outrageous [PERIOD]
careless [AND] vivacious [IMPLY] dull [PERIOD]
careless [AND] precious [IMPLY] confident [PERIOD]
disobedient [AND] outrageous [AND] precious [IMPLY] condemned [PERIOD]
vivacious [AND] hurt [IMPLY] famous [PERIOD]
confident [AND] cute [AND] homely [IMPLY] famous [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   weary ⇒ confident
   confident ⇒ careless
   disobedient ∧ crowded ∧ careless ⇒ confused
",1,3
"Facts:  Alice is clean [PERIOD] Alice is frantic [PERIOD] Alice is zealous [PERIOD] Alice is fearless [PERIOD] Alice is impatient [PERIOD] Alice is worrisome [PERIOD] Alice is combative [PERIOD] Alice is homely [PERIOD] Alice is ugly [PERIOD] Alice is thoughtful [PERIOD] Alice is plain [PERIOD] Alice is modern [PERIOD] Alice is calm [PERIOD] Alice is hypocritical [PERIOD] Alice is shiny [PERIOD] Alice is scared [PERIOD] Alice is attractive [PERIOD]
Rules:
lonely [AND] shiny [AND] excited [IMPLY] homely [PERIOD]
plain [IMPLY] strange [PERIOD]
fragile [AND] tense [IMPLY] bad-tempered [PERIOD]
shiny [IMPLY] embarrassed [PERIOD]
calm [AND] zealous [IMPLY] plain [PERIOD]
combative [IMPLY] shiny [PERIOD]
worrisome [AND] impatient [IMPLY] frantic [PERIOD]
ugly [IMPLY] lonely [PERIOD]
plain [AND] tense [IMPLY] fragile [PERIOD]
courageous [IMPLY] calm [PERIOD]
plain [IMPLY] tense [PERIOD]
modern [AND] worrisome [AND] thoughtful [IMPLY] zealous [PERIOD]
frantic [AND] lonely [AND] thoughtful [IMPLY] homely [PERIOD]
homely [IMPLY] clean [PERIOD]
fragile [IMPLY] clean [PERIOD]
hypocritical [AND] combative [IMPLY] plain [PERIOD]
frantic [AND] calm [IMPLY] scared [PERIOD]
fragile [AND] attractive [AND] rational [IMPLY] homely [PERIOD]
fearless [AND] shiny [IMPLY] strange [PERIOD]
hypocritical [AND] combative [IMPLY] frantic [PERIOD]
frantic [AND] combative [AND] strange [IMPLY] muddy [PERIOD]
shiny [AND] muddy [IMPLY] hypocritical [PERIOD]
shiny [IMPLY] rational [PERIOD]
calm [AND] strange [AND] tense [IMPLY] bad-tempered [PERIOD]
impatient [AND] shiny [IMPLY] combative [PERIOD]
tense [AND] embarrassed [IMPLY] scared [PERIOD]
plain [AND] courageous [AND] bad-tempered [IMPLY] homely [PERIOD]
strange [IMPLY] rational [PERIOD]
impatient [AND] bad-tempered [AND] tense [IMPLY] muddy [PERIOD]
frantic [IMPLY] hypocritical [PERIOD]
combative [IMPLY] embarrassed [PERIOD]
courageous [AND] modern [AND] ugly [IMPLY] embarrassed [PERIOD]
thoughtful [AND] bad-tempered [AND] frantic [IMPLY] zealous [PERIOD]
hypocritical [AND] calm [IMPLY] shiny [PERIOD]
worrisome [IMPLY] fearless [PERIOD]
courageous [IMPLY] combative [PERIOD]
strange [AND] ugly [AND] combative [IMPLY] scared [PERIOD]
courageous [IMPLY] muddy [PERIOD]
lonely [AND] fearless [IMPLY] strange [PERIOD]
courageous [AND] anxious [AND] shiny [IMPLY] fearless [PERIOD]
ugly [AND] zealous [IMPLY] impatient [PERIOD]
rational [AND] hypocritical [AND] frantic [IMPLY] shiny [PERIOD]
fearless [AND] plain [IMPLY] excited [PERIOD]
attractive [AND] strange [IMPLY] anxious [PERIOD]
zealous [IMPLY] ugly [PERIOD]
lonely [IMPLY] zealous [PERIOD]
strange [IMPLY] ugly [PERIOD]
bad-tempered [AND] hypocritical [IMPLY] muddy [PERIOD]
strange [AND] bad-tempered [AND] tense [IMPLY] fearless [PERIOD]
thoughtful [AND] scared [AND] rational [IMPLY] clean [PERIOD]
lonely [AND] rational [IMPLY] plain [PERIOD]
thoughtful [IMPLY] fragile [PERIOD]
homely [IMPLY] frantic [PERIOD]
hypocritical [AND] tense [IMPLY] calm [PERIOD]
plain [AND] scared [IMPLY] anxious [PERIOD]
worrisome [AND] thoughtful [IMPLY] embarrassed [PERIOD]
rational [IMPLY] embarrassed [PERIOD]
scared [AND] worrisome [AND] attractive [IMPLY] excited [PERIOD]
courageous [IMPLY] shiny [PERIOD]
fragile [AND] homely [AND] rational [IMPLY] shiny [PERIOD]
tense [AND] modern [AND] fearless [IMPLY] excited [PERIOD]
attractive [AND] impatient [AND] worrisome [IMPLY] tense [PERIOD]
worrisome [AND] scared [AND] zealous [IMPLY] attractive [PERIOD]
combative [AND] zealous [AND] rational [IMPLY] modern [PERIOD]
homely [AND] fragile [IMPLY] strange [PERIOD]
worrisome [AND] muddy [IMPLY] embarrassed [PERIOD]
anxious [AND] fearless [IMPLY] muddy [PERIOD]
calm [AND] fearless [AND] embarrassed [IMPLY] strange [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
gleaming [AND] modern [IMPLY] thoughtful [PERIOD]
ugly [IMPLY] reserved [PERIOD]
modern [AND] ugly [AND] reserved [IMPLY] lucky [PERIOD]
reserved [AND] polite [IMPLY] gleaming [PERIOD]
modern [IMPLY] ugly [PERIOD]
thoughtful [AND] reserved [AND] gleaming [IMPLY] lucky [PERIOD]
gleaming [AND] ugly [AND] polite [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] polite [PERIOD]
gleaming [IMPLY] fearless [PERIOD]
ugly [IMPLY] polite [PERIOD]
proud [AND] ugly [IMPLY] gleaming [PERIOD]
lucky [AND] gleaming [IMPLY] fearless [PERIOD]
fearless [AND] ugly [AND] lucky [IMPLY] curious [PERIOD]
ugly [AND] fearless [AND] lucky [IMPLY] reserved [PERIOD]
lucky [AND] polite [IMPLY] gleaming [PERIOD]
fearless [IMPLY] lucky [PERIOD]
Query: Alice is gleaming [PERIOD]","Proof chain:
   Cannot apply rule “reserved ∧ polite ⇒ gleaming” because missing: reserved, polite.
   Cannot apply rule “proud ∧ ugly ⇒ gleaming” because missing: proud, ugly.
   Cannot apply rule “lucky ∧ polite ⇒ gleaming” because missing: lucky, polite.
",0,3
"Facts:  Alice is pleasant [PERIOD] Alice is strange [PERIOD] Alice is worrisome [PERIOD] Alice is enchanting [PERIOD]
Rules:
popular [AND] thoughtless [IMPLY] gorgeous [PERIOD]
different [IMPLY] worrisome [PERIOD]
popular [IMPLY] clumsy [PERIOD]
popular [AND] strange [AND] clumsy [IMPLY] enchanting [PERIOD]
popular [IMPLY] strange [PERIOD]
different [AND] worrisome [IMPLY] gorgeous [PERIOD]
enchanting [AND] different [IMPLY] worrisome [PERIOD]
gorgeous [AND] strange [AND] enchanting [IMPLY] worrisome [PERIOD]
strange [IMPLY] pleasant [PERIOD]
thoughtless [AND] clumsy [IMPLY] gorgeous [PERIOD]
worrisome [AND] popular [IMPLY] thoughtless [PERIOD]
different [AND] clumsy [AND] popular [IMPLY] pleasant [PERIOD]
enchanting [IMPLY] worrisome [PERIOD]
enchanting [AND] clumsy [AND] pleasant [IMPLY] worrisome [PERIOD]
strange [IMPLY] clumsy [PERIOD]
worrisome [IMPLY] different [PERIOD]
different [AND] popular [IMPLY] thoughtless [PERIOD]
different [AND] enchanting [AND] pleasant [IMPLY] clumsy [PERIOD]
popular [AND] worrisome [IMPLY] clumsy [PERIOD]
worrisome [AND] pleasant [AND] different [IMPLY] clumsy [PERIOD]
gorgeous [AND] thoughtless [AND] strange [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] enchanting [PERIOD]
clumsy [IMPLY] gorgeous [PERIOD]
pleasant [AND] worrisome [IMPLY] gorgeous [PERIOD]
worrisome [AND] pleasant [AND] clumsy [IMPLY] different [PERIOD]
worrisome [IMPLY] enchanting [PERIOD]
different [AND] worrisome [AND] strange [IMPLY] pleasant [PERIOD]
popular [AND] enchanting [AND] clumsy [IMPLY] pleasant [PERIOD]
enchanting [IMPLY] strange [PERIOD]
gorgeous [AND] strange [IMPLY] clumsy [PERIOD]
clumsy [AND] worrisome [AND] pleasant [IMPLY] enchanting [PERIOD]
clumsy [AND] enchanting [IMPLY] gorgeous [PERIOD]
pleasant [AND] popular [AND] gorgeous [IMPLY] strange [PERIOD]
clumsy [AND] gorgeous [AND] worrisome [IMPLY] strange [PERIOD]
different [IMPLY] strange [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “worrisome ∧ popular ⇒ thoughtless” because missing: popular.
   worrisome ⇒ different
   Cannot apply rule “different ∧ popular ⇒ thoughtless” because missing: popular.
",0,3
"Facts:  Alice is amused [PERIOD]
Rules:
outstanding [AND] amused [AND] pleasant [IMPLY] zealous [PERIOD]
outstanding [IMPLY] anxious [PERIOD]
rational [IMPLY] zealous [PERIOD]
zealous [AND] pleasant [IMPLY] outstanding [PERIOD]
pleasant [AND] rational [IMPLY] outstanding [PERIOD]
amused [AND] outstanding [IMPLY] zealous [PERIOD]
outstanding [AND] rational [AND] zealous [IMPLY] amused [PERIOD]
amused [IMPLY] pleasant [PERIOD]
zealous [AND] rational [IMPLY] anxious [PERIOD]
rational [AND] zealous [AND] outstanding [IMPLY] pleasant [PERIOD]
rational [IMPLY] anxious [PERIOD]
rational [AND] zealous [IMPLY] pleasant [PERIOD]
anxious [AND] pleasant [AND] amused [IMPLY] outstanding [PERIOD]
amused [AND] anxious [IMPLY] outstanding [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   amused ⇒ pleasant
   Cannot apply rule “zealous ∧ pleasant ⇒ outstanding” because missing: zealous.
   amused ⇒ pleasant
   Cannot apply rule “pleasant ∧ rational ⇒ outstanding” because missing: rational.
   amused ⇒ pleasant
   Cannot apply rule “anxious ∧ pleasant ∧ amused ⇒ outstanding” because missing: anxious.
   Cannot apply rule “amused ∧ anxious ⇒ outstanding” because missing: anxious.
",0,7
"Facts:  Alice is ugliest [PERIOD] Alice is precious [PERIOD] Alice is gifted [PERIOD]
Rules:
precious [AND] thoughtless [IMPLY] jittery [PERIOD]
weary [AND] worried [AND] vivacious [IMPLY] fine [PERIOD]
thoughtless [AND] pleasant [IMPLY] worried [PERIOD]
helpful [AND] cute [AND] elated [IMPLY] vivacious [PERIOD]
thoughtless [IMPLY] stupid [PERIOD]
fine [AND] stupid [AND] old-fashioned [IMPLY] thoughtless [PERIOD]
fine [AND] vivacious [AND] innocent [IMPLY] weary [PERIOD]
weary [AND] condemned [AND] precious [IMPLY] blushing [PERIOD]
embarrassed [AND] fine [AND] cute [IMPLY] innocent [PERIOD]
fine [AND] condemned [AND] ugliest [IMPLY] thoughtless [PERIOD]
jittery [AND] weary [AND] ugliest [IMPLY] blushing [PERIOD]
weary [AND] stupid [AND] innocent [IMPLY] vivacious [PERIOD]
precious [AND] elated [IMPLY] pleasant [PERIOD]
fine [IMPLY] rational [PERIOD]
innocent [IMPLY] embarrassed [PERIOD]
embarrassed [AND] pleasant [AND] thoughtless [IMPLY] old-fashioned [PERIOD]
weary [IMPLY] pleasant [PERIOD]
weary [IMPLY] stupid [PERIOD]
thoughtless [AND] pleasant [IMPLY] weary [PERIOD]
old-fashioned [AND] precious [AND] fine [IMPLY] condemned [PERIOD]
stupid [IMPLY] vivacious [PERIOD]
precious [AND] fine [IMPLY] gifted [PERIOD]
stupid [AND] condemned [AND] ugliest [IMPLY] embarrassed [PERIOD]
thoughtless [IMPLY] innocent [PERIOD]
blushing [IMPLY] worried [PERIOD]
blushing [AND] weary [AND] vivacious [IMPLY] innocent [PERIOD]
fine [IMPLY] old-fashioned [PERIOD]
precious [IMPLY] fine [PERIOD]
thoughtless [IMPLY] embarrassed [PERIOD]
ugliest [IMPLY] blushing [PERIOD]
condemned [AND] stupid [IMPLY] old-fashioned [PERIOD]
ugliest [AND] innocent [AND] jittery [IMPLY] embarrassed [PERIOD]
ugly [AND] cute [AND] condemned [IMPLY] worried [PERIOD]
worried [AND] ugliest [IMPLY] thoughtless [PERIOD]
fine [IMPLY] gifted [PERIOD]
rational [AND] embarrassed [IMPLY] vivacious [PERIOD]
fine [AND] thoughtless [AND] precious [IMPLY] gifted [PERIOD]
elated [IMPLY] vivacious [PERIOD]
vivacious [AND] innocent [AND] worried [IMPLY] jittery [PERIOD]
ugly [AND] cute [IMPLY] embarrassed [PERIOD]
helpful [IMPLY] cute [PERIOD]
ugliest [AND] innocent [AND] elated [IMPLY] gifted [PERIOD]
vivacious [AND] ugliest [AND] stupid [IMPLY] jittery [PERIOD]
blushing [AND] jittery [IMPLY] worried [PERIOD]
condemned [IMPLY] helpful [PERIOD]
worried [AND] rational [AND] blushing [IMPLY] ugly [PERIOD]
innocent [AND] rational [IMPLY] blushing [PERIOD]
thoughtless [IMPLY] old-fashioned [PERIOD]
precious [IMPLY] helpful [PERIOD]
precious [AND] cute [IMPLY] weary [PERIOD]
blushing [IMPLY] ugly [PERIOD]
helpful [IMPLY] worried [PERIOD]
pleasant [AND] condemned [IMPLY] weary [PERIOD]
stupid [AND] jittery [AND] elated [IMPLY] gifted [PERIOD]
worried [AND] jittery [AND] blushing [IMPLY] thoughtless [PERIOD]
impartial [AND] worried [AND] vivacious [IMPLY] ugly [PERIOD]
blushing [AND] fine [IMPLY] weary [PERIOD]
blushing [AND] rational [IMPLY] precious [PERIOD]
gifted [AND] condemned [AND] ugly [IMPLY] thoughtless [PERIOD]
rational [IMPLY] pleasant [PERIOD]
cute [AND] ugliest [IMPLY] stupid [PERIOD]
elated [IMPLY] rational [PERIOD]
rational [AND] thoughtless [AND] fine [IMPLY] worried [PERIOD]
elated [AND] stupid [AND] vivacious [IMPLY] helpful [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   ugliest ⇒ blushing
   blushing ⇒ ugly
   precious ⇒ helpful
   helpful ⇒ cute
   ugly ∧ cute ⇒ embarrassed
",1,5
"Facts:  Alice is frail [PERIOD] Alice is amused [PERIOD]
Rules:
dull [IMPLY] courageous [PERIOD]
courageous [AND] amused [AND] agreeable [IMPLY] fancy [PERIOD]
dull [AND] fancy [IMPLY] courageous [PERIOD]
fancy [AND] amused [IMPLY] agreeable [PERIOD]
tired [IMPLY] agreeable [PERIOD]
tired [AND] courageous [AND] dull [IMPLY] agreeable [PERIOD]
courageous [IMPLY] fancy [PERIOD]
agreeable [AND] dull [IMPLY] tired [PERIOD]
dull [IMPLY] amused [PERIOD]
agreeable [AND] tired [AND] amused [IMPLY] courageous [PERIOD]
fancy [AND] amused [IMPLY] frail [PERIOD]
courageous [AND] fancy [IMPLY] frail [PERIOD]
courageous [AND] amused [IMPLY] dull [PERIOD]
fancy [AND] agreeable [AND] frail [IMPLY] amused [PERIOD]
amused [IMPLY] fancy [PERIOD]
dull [IMPLY] fancy [PERIOD]
tired [IMPLY] fancy [PERIOD]
dull [AND] courageous [AND] fancy [IMPLY] agreeable [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   Cannot apply rule “dull ⇒ courageous” because missing: dull.
   amused ⇒ fancy
   Cannot apply rule “dull ∧ fancy ⇒ courageous” because missing: dull.
   amused ⇒ fancy
   fancy ∧ amused ⇒ agreeable
   Cannot apply rule “agreeable ∧ tired ∧ amused ⇒ courageous” because missing: tired.
",0,6
"Facts:  Alice is bored [PERIOD] Alice is shy [PERIOD]
Rules:
tense [IMPLY] distinct [PERIOD]
tender [AND] tense [IMPLY] easy [PERIOD]
tender [AND] bored [AND] modern [IMPLY] shy [PERIOD]
proud [AND] tender [IMPLY] easy [PERIOD]
tender [AND] distinct [IMPLY] proud [PERIOD]
proud [AND] distinct [IMPLY] easy [PERIOD]
tense [AND] easy [AND] bored [IMPLY] proud [PERIOD]
tense [AND] easy [AND] distinct [IMPLY] proud [PERIOD]
easy [AND] shy [IMPLY] modern [PERIOD]
easy [IMPLY] tender [PERIOD]
distinct [AND] tense [IMPLY] proud [PERIOD]
modern [IMPLY] distinct [PERIOD]
distinct [IMPLY] shy [PERIOD]
tense [IMPLY] tender [PERIOD]
bored [AND] tense [IMPLY] shy [PERIOD]
tense [AND] easy [AND] tender [IMPLY] bored [PERIOD]
shy [AND] modern [IMPLY] proud [PERIOD]
easy [IMPLY] distinct [PERIOD]
shy [AND] bored [AND] distinct [IMPLY] tender [PERIOD]
proud [AND] tender [AND] shy [IMPLY] bored [PERIOD]
tender [IMPLY] proud [PERIOD]
tense [AND] bored [AND] easy [IMPLY] distinct [PERIOD]
shy [AND] easy [IMPLY] distinct [PERIOD]
bored [AND] shy [AND] easy [IMPLY] modern [PERIOD]
modern [IMPLY] tense [PERIOD]
tense [AND] bored [AND] easy [IMPLY] shy [PERIOD]
tense [AND] proud [IMPLY] bored [PERIOD]
tense [IMPLY] shy [PERIOD]
tense [AND] bored [IMPLY] proud [PERIOD]
proud [AND] bored [AND] easy [IMPLY] modern [PERIOD]
easy [IMPLY] shy [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   Cannot apply rule “tense ⇒ distinct” because missing: tense.
   Cannot apply rule “modern ⇒ distinct” because missing: modern.
   Cannot apply rule “easy ⇒ distinct” because missing: easy.
   Cannot apply rule “tense ∧ bored ∧ easy ⇒ distinct” because missing: tense, easy.
   Cannot apply rule “shy ∧ easy ⇒ distinct” because missing: easy.
",0,5
"Facts:  Alice is friendly [PERIOD] Alice is courageous [PERIOD] Alice is fancy [PERIOD]
Rules:
messy [AND] broad-minded [IMPLY] excited [PERIOD]
inexpensive [AND] excited [AND] condemned [IMPLY] adorable [PERIOD]
messy [IMPLY] exuberant [PERIOD]
plain [AND] polite [AND] light [IMPLY] broad-minded [PERIOD]
popular [AND] silly [IMPLY] excited [PERIOD]
versatile [IMPLY] fearless [PERIOD]
victorious [AND] broad-minded [IMPLY] adorable [PERIOD]
powerful [IMPLY] broad-minded [PERIOD]
inexpensive [AND] condemned [AND] outrageous [IMPLY] grumpy [PERIOD]
excited [AND] messy [IMPLY] polite [PERIOD]
friendly [IMPLY] broad-minded [PERIOD]
perfect [AND] fearless [IMPLY] careless [PERIOD]
broad-minded [AND] inexpensive [AND] messy [IMPLY] frail [PERIOD]
courageous [AND] powerful [AND] broad-minded [IMPLY] friendly [PERIOD]
friendly [IMPLY] careless [PERIOD]
broad-minded [AND] plain [AND] careless [IMPLY] polite [PERIOD]
Query: Alice is adorable [PERIOD]","Proof chain:
   Cannot apply rule “inexpensive ∧ excited ∧ condemned ⇒ adorable” because missing: inexpensive, excited, condemned.
   friendly ⇒ broad-minded
   Cannot apply rule “victorious ∧ broad-minded ⇒ adorable” because missing: victorious.
",0,3
"Facts:  Alice is comfortable [PERIOD] Alice is bossy [PERIOD] Alice is worrisome [PERIOD] Alice is worried [PERIOD] Alice is bad-tempered [PERIOD] Alice is shy [PERIOD] Alice is helpful [PERIOD]
Rules:
intellectual [IMPLY] agreeable [PERIOD]
glamorous [IMPLY] confident [PERIOD]
bossy [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] disgusted [PERIOD]
condemned [IMPLY] shy [PERIOD]
disgusted [AND] confused [IMPLY] cute [PERIOD]
disgusted [IMPLY] broad-minded [PERIOD]
lucky [AND] bad-tempered [IMPLY] disgusted [PERIOD]
lucky [IMPLY] disgusted [PERIOD]
worrisome [AND] bossy [IMPLY] broad-minded [PERIOD]
glamorous [AND] troubled [IMPLY] inexpensive [PERIOD]
cute [AND] comfortable [AND] bossy [IMPLY] foolish [PERIOD]
broad-minded [AND] bad-tempered [IMPLY] quaint [PERIOD]
calm [IMPLY] quaint [PERIOD]
comfortable [AND] agreeable [AND] intellectual [IMPLY] attentive [PERIOD]
comfortable [IMPLY] attentive [PERIOD]
inexpensive [IMPLY] courageous [PERIOD]
foolish [AND] inexpensive [IMPLY] intellectual [PERIOD]
popular [IMPLY] agreeable [PERIOD]
calm [AND] cute [IMPLY] worried [PERIOD]
condemned [AND] shy [IMPLY] comfortable [PERIOD]
troubled [AND] worrisome [AND] confused [IMPLY] helpful [PERIOD]
loving [IMPLY] worrisome [PERIOD]
glamorous [AND] quaint [AND] cute [IMPLY] helpful [PERIOD]
calm [AND] lucky [IMPLY] intellectual [PERIOD]
cute [AND] popular [AND] bossy [IMPLY] courageous [PERIOD]
lucky [AND] confused [IMPLY] confident [PERIOD]
foolish [AND] disgusted [IMPLY] agreeable [PERIOD]
loving [AND] confident [AND] worried [IMPLY] agreeable [PERIOD]
vivacious [AND] foolish [IMPLY] inexpensive [PERIOD]
comfortable [IMPLY] cute [PERIOD]
popular [AND] condemned [AND] calm [IMPLY] troubled [PERIOD]
courageous [AND] agreeable [IMPLY] quaint [PERIOD]
cute [IMPLY] bad-tempered [PERIOD]
helpful [AND] troubled [AND] quaint [IMPLY] lucky [PERIOD]
courageous [AND] troubled [AND] loving [IMPLY] condemned [PERIOD]
quaint [AND] worrisome [AND] helpful [IMPLY] attentive [PERIOD]
calm [AND] shy [AND] vivacious [IMPLY] courageous [PERIOD]
condemned [AND] quaint [AND] loving [IMPLY] calm [PERIOD]
courageous [AND] intellectual [AND] troubled [IMPLY] condemned [PERIOD]
popular [AND] agreeable [IMPLY] helpful [PERIOD]
loving [IMPLY] confused [PERIOD]
bad-tempered [AND] foolish [AND] attentive [IMPLY] glamorous [PERIOD]
disgusted [AND] popular [AND] comfortable [IMPLY] confused [PERIOD]
inexpensive [IMPLY] broad-minded [PERIOD]
bad-tempered [AND] bossy [IMPLY] troubled [PERIOD]
foolish [AND] bad-tempered [AND] agreeable [IMPLY] troubled [PERIOD]
glamorous [IMPLY] troubled [PERIOD]
disgusted [IMPLY] agreeable [PERIOD]
broad-minded [AND] condemned [IMPLY] glamorous [PERIOD]
glamorous [AND] calm [IMPLY] courageous [PERIOD]
inexpensive [AND] troubled [AND] attentive [IMPLY] disgusted [PERIOD]
attentive [AND] lucky [IMPLY] disgusted [PERIOD]
attentive [AND] worrisome [IMPLY] helpful [PERIOD]
calm [AND] glamorous [AND] bossy [IMPLY] quaint [PERIOD]
glamorous [AND] courageous [IMPLY] calm [PERIOD]
broad-minded [AND] loving [IMPLY] bad-tempered [PERIOD]
courageous [AND] confident [AND] broad-minded [IMPLY] troubled [PERIOD]
confused [AND] lucky [AND] calm [IMPLY] quaint [PERIOD]
loving [AND] confident [AND] popular [IMPLY] bossy [PERIOD]
quaint [AND] worried [IMPLY] disgusted [PERIOD]
agreeable [AND] popular [IMPLY] courageous [PERIOD]
worrisome [IMPLY] comfortable [PERIOD]
shy [AND] broad-minded [AND] bossy [IMPLY] attentive [PERIOD]
attentive [AND] condemned [AND] confused [IMPLY] broad-minded [PERIOD]
bossy [AND] helpful [IMPLY] loving [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   comfortable ⇒ cute
   cute ∧ comfortable ∧ bossy ⇒ foolish
   comfortable ⇒ attentive
   bad-tempered ∧ foolish ∧ attentive ⇒ glamorous
   bad-tempered ∧ bossy ⇒ troubled
   glamorous ∧ troubled ⇒ inexpensive
",1,6
"Facts:  Alice is nervous [PERIOD]
Rules:
gleaming [AND] silly [AND] nervous [IMPLY] fancy [PERIOD]
good [AND] nervous [IMPLY] pleasant [PERIOD]
fancy [AND] powerful [AND] clumsy [IMPLY] good [PERIOD]
silly [AND] powerful [IMPLY] pleasant [PERIOD]
good [AND] powerful [IMPLY] fearless [PERIOD]
clumsy [AND] easy [AND] pleasant [IMPLY] fearless [PERIOD]
clumsy [AND] silly [IMPLY] powerful [PERIOD]
precious [AND] pleasant [IMPLY] fancy [PERIOD]
fearless [AND] powerful [AND] silly [IMPLY] clumsy [PERIOD]
fancy [AND] powerful [IMPLY] fearless [PERIOD]
easy [AND] silly [AND] clumsy [IMPLY] fearless [PERIOD]
easy [AND] precious [AND] nervous [IMPLY] powerful [PERIOD]
powerful [AND] fearless [AND] good [IMPLY] precious [PERIOD]
nervous [IMPLY] good [PERIOD]
clumsy [AND] easy [IMPLY] precious [PERIOD]
fearless [AND] easy [AND] powerful [IMPLY] good [PERIOD]
easy [IMPLY] clumsy [PERIOD]
clumsy [AND] fearless [IMPLY] silly [PERIOD]
precious [IMPLY] silly [PERIOD]
pleasant [IMPLY] nervous [PERIOD]
fearless [IMPLY] nervous [PERIOD]
powerful [AND] fearless [IMPLY] pleasant [PERIOD]
nervous [IMPLY] fancy [PERIOD]
fearless [AND] silly [IMPLY] precious [PERIOD]
good [AND] clumsy [AND] powerful [IMPLY] fancy [PERIOD]
good [AND] clumsy [IMPLY] gleaming [PERIOD]
fancy [IMPLY] powerful [PERIOD]
powerful [AND] nervous [AND] precious [IMPLY] easy [PERIOD]
nervous [IMPLY] easy [PERIOD]
easy [AND] precious [IMPLY] powerful [PERIOD]
pleasant [AND] easy [AND] fearless [IMPLY] silly [PERIOD]
silly [AND] good [AND] pleasant [IMPLY] precious [PERIOD]
precious [IMPLY] clumsy [PERIOD]
fancy [IMPLY] pleasant [PERIOD]
fearless [AND] nervous [IMPLY] pleasant [PERIOD]
easy [IMPLY] precious [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   nervous ⇒ easy
   easy ⇒ clumsy
   nervous ⇒ easy
   nervous ⇒ fancy
   fancy ⇒ pleasant
   clumsy ∧ easy ∧ pleasant ⇒ fearless
",1,6
"Facts:  Alice is shiny [PERIOD] Alice is crowded [PERIOD] Alice is fancy [PERIOD] Alice is talented [PERIOD] Alice is homely [PERIOD] Alice is gifted [PERIOD] Alice is confident [PERIOD] Alice is fine [PERIOD] Alice is clumsy [PERIOD] Alice is bright [PERIOD]
Rules:
impartial [AND] crowded [AND] alert [IMPLY] fine [PERIOD]
confident [IMPLY] fancy [PERIOD]
fine [AND] bright [IMPLY] clean [PERIOD]
impartial [AND] clean [AND] homely [IMPLY] alert [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   fine ∧ bright ⇒ clean
   Cannot apply rule “impartial ∧ clean ∧ homely ⇒ alert” because missing: impartial.
",0,2
"Facts:  Alice is innocent [PERIOD] Alice is tired [PERIOD] Alice is talkative [PERIOD]
Rules:
confident [IMPLY] frantic [PERIOD]
vivacious [IMPLY] horrible [PERIOD]
tired [AND] serious [AND] talented [IMPLY] courageous [PERIOD]
frantic [AND] blushing [AND] popular [IMPLY] outrageous [PERIOD]
horrible [AND] courageous [IMPLY] blushing [PERIOD]
tender [AND] frantic [IMPLY] courageous [PERIOD]
tender [AND] clean [AND] calm [IMPLY] talented [PERIOD]
dishonest [AND] confident [IMPLY] wandering [PERIOD]
impatient [IMPLY] wandering [PERIOD]
talkative [IMPLY] blushing [PERIOD]
tired [AND] calm [AND] wandering [IMPLY] fine [PERIOD]
frantic [AND] blushing [IMPLY] popular [PERIOD]
messy [IMPLY] disgusted [PERIOD]
disgusted [AND] tender [AND] blushing [IMPLY] calm [PERIOD]
outrageous [IMPLY] supportive [PERIOD]
dishonest [IMPLY] talented [PERIOD]
impartial [AND] homely [AND] outrageous [IMPLY] confident [PERIOD]
wandering [IMPLY] homely [PERIOD]
tired [AND] homely [AND] helpful [IMPLY] horrible [PERIOD]
supportive [IMPLY] talkative [PERIOD]
frightened [AND] innocent [IMPLY] horrible [PERIOD]
fine [IMPLY] calm [PERIOD]
dishonest [AND] ugly [AND] frightened [IMPLY] frantic [PERIOD]
popular [AND] ugly [IMPLY] fine [PERIOD]
impartial [IMPLY] calm [PERIOD]
vivacious [AND] talkative [IMPLY] talented [PERIOD]
messy [AND] impartial [IMPLY] frightened [PERIOD]
vivacious [AND] serious [IMPLY] frantic [PERIOD]
confident [AND] wandering [AND] serious [IMPLY] ugly [PERIOD]
ugly [IMPLY] mysterious [PERIOD]
wandering [IMPLY] disgusted [PERIOD]
talkative [AND] horrible [IMPLY] serious [PERIOD]
talented [AND] innocent [IMPLY] dishonest [PERIOD]
helpful [AND] mysterious [AND] confident [IMPLY] tender [PERIOD]
helpful [IMPLY] mysterious [PERIOD]
frightened [AND] ugly [IMPLY] wandering [PERIOD]
outrageous [AND] mysterious [IMPLY] supportive [PERIOD]
confident [IMPLY] blushing [PERIOD]
horrible [AND] impartial [AND] blushing [IMPLY] ugly [PERIOD]
calm [AND] clean [IMPLY] innocent [PERIOD]
helpful [AND] talkative [IMPLY] messy [PERIOD]
messy [AND] talkative [AND] frantic [IMPLY] mysterious [PERIOD]
clean [IMPLY] tired [PERIOD]
broad-minded [AND] confident [AND] fine [IMPLY] tired [PERIOD]
messy [AND] frantic [IMPLY] serious [PERIOD]
talented [AND] popular [AND] ugly [IMPLY] helpful [PERIOD]
homely [AND] confident [AND] outrageous [IMPLY] serious [PERIOD]
impatient [IMPLY] frantic [PERIOD]
impatient [IMPLY] tender [PERIOD]
impartial [AND] innocent [IMPLY] courageous [PERIOD]
broad-minded [AND] impartial [AND] blushing [IMPLY] vivacious [PERIOD]
outrageous [AND] frantic [AND] wandering [IMPLY] clean [PERIOD]
innocent [IMPLY] disgusted [PERIOD]
blushing [AND] messy [IMPLY] disgusted [PERIOD]
homely [AND] blushing [AND] wandering [IMPLY] clean [PERIOD]
talkative [AND] tired [AND] dishonest [IMPLY] calm [PERIOD]
serious [AND] vivacious [IMPLY] talkative [PERIOD]
mysterious [IMPLY] frantic [PERIOD]
mysterious [AND] outrageous [IMPLY] clean [PERIOD]
mysterious [AND] popular [IMPLY] talkative [PERIOD]
impatient [AND] tired [AND] mysterious [IMPLY] horrible [PERIOD]
disgusted [IMPLY] wandering [PERIOD]
ugly [AND] frantic [IMPLY] frightened [PERIOD]
blushing [AND] vivacious [IMPLY] impartial [PERIOD]
blushing [AND] popular [IMPLY] tender [PERIOD]
confident [AND] mysterious [AND] talkative [IMPLY] frightened [PERIOD]
outrageous [AND] mysterious [IMPLY] messy [PERIOD]
tender [AND] fine [AND] courageous [IMPLY] ugly [PERIOD]
tender [AND] talkative [AND] supportive [IMPLY] courageous [PERIOD]
blushing [AND] confident [AND] clean [IMPLY] broad-minded [PERIOD]
calm [IMPLY] homely [PERIOD]
ugly [AND] tender [IMPLY] fine [PERIOD]
frightened [IMPLY] serious [PERIOD]
impartial [AND] blushing [AND] fine [IMPLY] frightened [PERIOD]
serious [IMPLY] fine [PERIOD]
horrible [AND] talented [IMPLY] confident [PERIOD]
fine [IMPLY] messy [PERIOD]
supportive [AND] courageous [AND] wandering [IMPLY] clean [PERIOD]
ugly [AND] impartial [AND] frantic [IMPLY] blushing [PERIOD]
impartial [AND] helpful [AND] vivacious [IMPLY] popular [PERIOD]
wandering [AND] impartial [IMPLY] tired [PERIOD]
frightened [AND] horrible [AND] impatient [IMPLY] serious [PERIOD]
outrageous [AND] tired [AND] messy [IMPLY] calm [PERIOD]
supportive [IMPLY] messy [PERIOD]
tired [IMPLY] popular [PERIOD]
dishonest [IMPLY] ugly [PERIOD]
innocent [AND] impatient [AND] popular [IMPLY] homely [PERIOD]
tired [IMPLY] helpful [PERIOD]
innocent [AND] helpful [IMPLY] messy [PERIOD]
mysterious [IMPLY] calm [PERIOD]
broad-minded [AND] serious [AND] homely [IMPLY] frantic [PERIOD]
tender [IMPLY] confident [PERIOD]
innocent [AND] blushing [IMPLY] talented [PERIOD]
tired [AND] dishonest [AND] impatient [IMPLY] popular [PERIOD]
ugly [AND] talented [AND] outrageous [IMPLY] impartial [PERIOD]
fine [AND] helpful [AND] popular [IMPLY] horrible [PERIOD]
blushing [AND] serious [IMPLY] supportive [PERIOD]
supportive [IMPLY] homely [PERIOD]
horrible [AND] clean [IMPLY] wandering [PERIOD]
ugly [IMPLY] homely [PERIOD]
serious [AND] frantic [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] disgusted [PERIOD]
messy [AND] serious [IMPLY] talented [PERIOD]
disgusted [IMPLY] homely [PERIOD]
popular [AND] frightened [IMPLY] vivacious [PERIOD]
vivacious [AND] tired [IMPLY] messy [PERIOD]
horrible [AND] fine [AND] popular [IMPLY] impartial [PERIOD]
talented [IMPLY] messy [PERIOD]
serious [IMPLY] clean [PERIOD]
impatient [AND] innocent [AND] blushing [IMPLY] outrageous [PERIOD]
fine [AND] vivacious [IMPLY] popular [PERIOD]
horrible [IMPLY] supportive [PERIOD]
talented [AND] innocent [IMPLY] popular [PERIOD]
serious [IMPLY] wandering [PERIOD]
innocent [AND] broad-minded [AND] outrageous [IMPLY] horrible [PERIOD]
popular [AND] fine [IMPLY] ugly [PERIOD]
serious [AND] fine [IMPLY] mysterious [PERIOD]
clean [AND] ugly [IMPLY] calm [PERIOD]
outrageous [AND] helpful [AND] horrible [IMPLY] blushing [PERIOD]
homely [IMPLY] mysterious [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   talkative ⇒ blushing
   tired ⇒ popular
   blushing ∧ popular ⇒ tender
   tired ⇒ helpful
   helpful ⇒ mysterious
   mysterious ⇒ frantic
   tender ∧ frantic ⇒ courageous
",1,7
"Facts:  Alice is bad-tempered [PERIOD] Alice is jittery [PERIOD] Alice is gorgeous [PERIOD] Alice is victorious [PERIOD]
Rules:
jittery [AND] crowded [AND] muddy [IMPLY] silly [PERIOD]
alert [IMPLY] plain [PERIOD]
thoughtless [AND] helpful [IMPLY] elegant [PERIOD]
elegant [IMPLY] perfect [PERIOD]
good [IMPLY] cute [PERIOD]
famous [IMPLY] gorgeous [PERIOD]
good [AND] crowded [AND] agreeable [IMPLY] thoughtless [PERIOD]
light [IMPLY] thoughtless [PERIOD]
silly [IMPLY] perfect [PERIOD]
crowded [IMPLY] victorious [PERIOD]
famous [AND] agreeable [IMPLY] victorious [PERIOD]
muddy [AND] unpleasant [AND] crowded [IMPLY] cute [PERIOD]
helpful [AND] condemned [AND] agreeable [IMPLY] plain [PERIOD]
alert [AND] light [AND] modern [IMPLY] famous [PERIOD]
agreeable [AND] alert [IMPLY] crowded [PERIOD]
gorgeous [AND] modern [AND] thoughtless [IMPLY] jittery [PERIOD]
cute [AND] condemned [AND] victorious [IMPLY] bad-tempered [PERIOD]
perfect [AND] elegant [AND] alert [IMPLY] good [PERIOD]
plain [IMPLY] muddy [PERIOD]
crowded [AND] famous [IMPLY] condemned [PERIOD]
victorious [AND] combative [AND] crowded [IMPLY] modern [PERIOD]
good [AND] crowded [AND] condemned [IMPLY] perfect [PERIOD]
gorgeous [IMPLY] agreeable [PERIOD]
light [AND] agreeable [IMPLY] crowded [PERIOD]
elegant [AND] famous [AND] victorious [IMPLY] cute [PERIOD]
bad-tempered [AND] silly [AND] unpleasant [IMPLY] elegant [PERIOD]
light [AND] cute [AND] unpleasant [IMPLY] condemned [PERIOD]
thoughtless [IMPLY] famous [PERIOD]
elegant [AND] light [IMPLY] good [PERIOD]
unpleasant [AND] crowded [AND] gorgeous [IMPLY] alert [PERIOD]
victorious [AND] thoughtless [AND] crowded [IMPLY] cute [PERIOD]
condemned [IMPLY] elegant [PERIOD]
crowded [IMPLY] gorgeous [PERIOD]
victorious [IMPLY] helpful [PERIOD]
helpful [AND] thoughtless [IMPLY] cute [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   victorious ⇒ helpful
   Cannot apply rule “thoughtless ∧ helpful ⇒ elegant” because missing: thoughtless.
   Cannot apply rule “bad-tempered ∧ silly ∧ unpleasant ⇒ elegant” because missing: silly, unpleasant.
   Cannot apply rule “condemned ⇒ elegant” because missing: condemned.
",0,4
"Facts: 
Rules:
uptight [IMPLY] attractive [PERIOD]
tidy [AND] agreeable [IMPLY] victorious [PERIOD]
ugliest [AND] sensible [AND] thoughtless [IMPLY] worrisome [PERIOD]
selfish [IMPLY] proud [PERIOD]
tidy [IMPLY] thoughtless [PERIOD]
exuberant [AND] tense [AND] ugliest [IMPLY] selfish [PERIOD]
proud [IMPLY] ugliest [PERIOD]
beautiful [AND] agreeable [AND] tidy [IMPLY] victorious [PERIOD]
beautiful [AND] tense [IMPLY] exuberant [PERIOD]
thoughtless [IMPLY] foolish [PERIOD]
proud [AND] outstanding [AND] tense [IMPLY] thoughtless [PERIOD]
spotless [AND] exuberant [AND] victorious [IMPLY] tense [PERIOD]
spotless [IMPLY] uptight [PERIOD]
uptight [IMPLY] selfish [PERIOD]
ugliest [IMPLY] proud [PERIOD]
worrisome [IMPLY] selfish [PERIOD]
outstanding [AND] agreeable [AND] sensible [IMPLY] uptight [PERIOD]
selfish [AND] proud [IMPLY] tidy [PERIOD]
tidy [AND] uptight [AND] foolish [IMPLY] sensible [PERIOD]
agreeable [IMPLY] spotless [PERIOD]
uptight [AND] tense [AND] agreeable [IMPLY] spotless [PERIOD]
attractive [AND] exuberant [AND] victorious [IMPLY] tidy [PERIOD]
proud [AND] selfish [AND] ugliest [IMPLY] spotless [PERIOD]
attractive [IMPLY] tense [PERIOD]
uptight [AND] foolish [IMPLY] selfish [PERIOD]
uptight [AND] agreeable [AND] outstanding [IMPLY] proud [PERIOD]
tense [AND] sensible [IMPLY] selfish [PERIOD]
exuberant [AND] spotless [AND] selfish [IMPLY] worrisome [PERIOD]
exuberant [AND] ugliest [AND] selfish [IMPLY] worrisome [PERIOD]
proud [AND] sensible [AND] agreeable [IMPLY] worrisome [PERIOD]
exuberant [AND] spotless [AND] proud [IMPLY] tense [PERIOD]
uptight [AND] foolish [AND] beautiful [IMPLY] exuberant [PERIOD]
beautiful [AND] outstanding [AND] uptight [IMPLY] victorious [PERIOD]
uptight [AND] tense [IMPLY] agreeable [PERIOD]
ugliest [AND] foolish [AND] selfish [IMPLY] uptight [PERIOD]
agreeable [IMPLY] tidy [PERIOD]
agreeable [AND] attractive [IMPLY] victorious [PERIOD]
agreeable [AND] sensible [IMPLY] uptight [PERIOD]
proud [AND] agreeable [IMPLY] tense [PERIOD]
proud [AND] beautiful [AND] spotless [IMPLY] foolish [PERIOD]
selfish [AND] attractive [IMPLY] victorious [PERIOD]
worrisome [IMPLY] thoughtless [PERIOD]
uptight [AND] tidy [IMPLY] spotless [PERIOD]
ugliest [AND] thoughtless [AND] selfish [IMPLY] exuberant [PERIOD]
spotless [IMPLY] attractive [PERIOD]
tense [AND] exuberant [IMPLY] worrisome [PERIOD]
tidy [AND] uptight [AND] worrisome [IMPLY] tense [PERIOD]
tense [IMPLY] beautiful [PERIOD]
uptight [AND] exuberant [AND] agreeable [IMPLY] thoughtless [PERIOD]
foolish [AND] selfish [AND] spotless [IMPLY] victorious [PERIOD]
ugliest [AND] outstanding [IMPLY] tidy [PERIOD]
victorious [IMPLY] exuberant [PERIOD]
victorious [AND] outstanding [AND] ugliest [IMPLY] selfish [PERIOD]
worrisome [AND] thoughtless [IMPLY] foolish [PERIOD]
attractive [AND] beautiful [IMPLY] foolish [PERIOD]
tense [AND] worrisome [AND] tidy [IMPLY] thoughtless [PERIOD]
victorious [AND] exuberant [AND] foolish [IMPLY] proud [PERIOD]
outstanding [AND] attractive [IMPLY] tidy [PERIOD]
proud [AND] exuberant [AND] worrisome [IMPLY] selfish [PERIOD]
agreeable [IMPLY] selfish [PERIOD]
agreeable [IMPLY] uptight [PERIOD]
proud [IMPLY] tidy [PERIOD]
attractive [AND] beautiful [IMPLY] tense [PERIOD]
spotless [AND] beautiful [IMPLY] agreeable [PERIOD]
proud [AND] spotless [AND] selfish [IMPLY] foolish [PERIOD]
outstanding [IMPLY] uptight [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   Cannot apply rule “ugliest ∧ sensible ∧ thoughtless ⇒ worrisome” because missing: ugliest, sensible, thoughtless.
   Cannot apply rule “exuberant ∧ spotless ∧ selfish ⇒ worrisome” because missing: exuberant, spotless, selfish.
   Cannot apply rule “exuberant ∧ ugliest ∧ selfish ⇒ worrisome” because missing: exuberant, ugliest, selfish.
   Cannot apply rule “proud ∧ sensible ∧ agreeable ⇒ worrisome” because missing: proud, sensible, agreeable.
   Cannot apply rule “tense ∧ exuberant ⇒ worrisome” because missing: tense, exuberant.
",0,5
"Facts:  Alice is careless [PERIOD] Alice is aggressive [PERIOD] Alice is outstanding [PERIOD] Alice is spotless [PERIOD] Alice is cooperative [PERIOD] Alice is muddy [PERIOD]
Rules:
aggressive [IMPLY] hypocritical [PERIOD]
distinct [AND] muddy [IMPLY] cooperative [PERIOD]
intellectual [AND] cooperative [IMPLY] hypocritical [PERIOD]
cooperative [AND] wide-eyed [IMPLY] aggressive [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is inquisitive [PERIOD] Alice is cooperative [PERIOD]
Rules:
charming [AND] witty [AND] easy [IMPLY] spotless [PERIOD]
lucky [AND] impatient [AND] anxious [IMPLY] gorgeous [PERIOD]
calm [AND] worried [AND] embarrassed [IMPLY] nervous [PERIOD]
diplomatic [AND] spotless [IMPLY] aggressive [PERIOD]
witty [AND] lucky [IMPLY] frail [PERIOD]
diplomatic [AND] easy [IMPLY] precious [PERIOD]
shiny [IMPLY] spotless [PERIOD]
easy [IMPLY] outrageous [PERIOD]
witty [IMPLY] thoughtless [PERIOD]
aggressive [AND] nervous [IMPLY] frail [PERIOD]
charming [IMPLY] spotless [PERIOD]
anxious [AND] jittery [IMPLY] nervous [PERIOD]
bright [IMPLY] difficult [PERIOD]
jittery [AND] worried [AND] alert [IMPLY] calm [PERIOD]
bright [AND] intellectual [IMPLY] impatient [PERIOD]
courageous [AND] witty [IMPLY] average [PERIOD]
easy [AND] bright [IMPLY] nervous [PERIOD]
clean [AND] worried [IMPLY] lucky [PERIOD]
embarrassed [IMPLY] frail [PERIOD]
aggressive [AND] elegant [IMPLY] thoughtless [PERIOD]
clean [AND] lucky [AND] difficult [IMPLY] shiny [PERIOD]
nervous [AND] intellectual [AND] gorgeous [IMPLY] courageous [PERIOD]
embarrassed [AND] cooperative [AND] charming [IMPLY] spotless [PERIOD]
elegant [AND] calm [AND] embarrassed [IMPLY] aggressive [PERIOD]
shiny [IMPLY] lucky [PERIOD]
diplomatic [AND] jittery [AND] embarrassed [IMPLY] thoughtless [PERIOD]
courageous [IMPLY] aggressive [PERIOD]
jittery [IMPLY] lucky [PERIOD]
shiny [AND] easy [IMPLY] witty [PERIOD]
nervous [IMPLY] worried [PERIOD]
jittery [AND] outrageous [IMPLY] precious [PERIOD]
alert [AND] witty [AND] thoughtless [IMPLY] intellectual [PERIOD]
inquisitive [IMPLY] alert [PERIOD]
thoughtless [AND] intellectual [AND] alert [IMPLY] elegant [PERIOD]
elegant [IMPLY] lucky [PERIOD]
spotless [AND] inquisitive [AND] shiny [IMPLY] charming [PERIOD]
intellectual [AND] outrageous [AND] calm [IMPLY] aggressive [PERIOD]
bright [AND] anxious [IMPLY] outrageous [PERIOD]
aggressive [IMPLY] jittery [PERIOD]
bright [AND] cooperative [AND] frail [IMPLY] thoughtless [PERIOD]
clean [AND] courageous [AND] easy [IMPLY] spotless [PERIOD]
courageous [AND] calm [AND] inquisitive [IMPLY] cooperative [PERIOD]
thoughtless [AND] inquisitive [IMPLY] nervous [PERIOD]
alert [AND] average [AND] thoughtless [IMPLY] frail [PERIOD]
aggressive [AND] intellectual [AND] precious [IMPLY] thoughtless [PERIOD]
courageous [IMPLY] difficult [PERIOD]
shiny [AND] thoughtless [IMPLY] bright [PERIOD]
inquisitive [AND] shiny [AND] worried [IMPLY] intellectual [PERIOD]
worried [AND] outrageous [IMPLY] gorgeous [PERIOD]
courageous [IMPLY] witty [PERIOD]
difficult [AND] calm [AND] precious [IMPLY] embarrassed [PERIOD]
charming [IMPLY] difficult [PERIOD]
thoughtless [IMPLY] diplomatic [PERIOD]
alert [IMPLY] jittery [PERIOD]
precious [AND] embarrassed [IMPLY] thoughtless [PERIOD]
alert [AND] bright [AND] worried [IMPLY] charming [PERIOD]
embarrassed [IMPLY] courageous [PERIOD]
bright [AND] easy [AND] intellectual [IMPLY] embarrassed [PERIOD]
embarrassed [AND] bright [IMPLY] jittery [PERIOD]
spotless [AND] easy [AND] difficult [IMPLY] jittery [PERIOD]
outrageous [AND] courageous [AND] worried [IMPLY] aggressive [PERIOD]
courageous [AND] frail [AND] shiny [IMPLY] gorgeous [PERIOD]
impatient [IMPLY] witty [PERIOD]
outrageous [AND] nervous [IMPLY] worried [PERIOD]
jittery [AND] bright [IMPLY] frail [PERIOD]
clean [AND] difficult [AND] lucky [IMPLY] outrageous [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   Cannot apply rule “calm ∧ worried ∧ embarrassed ⇒ nervous” because missing: calm, worried, embarrassed.
   inquisitive ⇒ alert
   alert ⇒ jittery
   Cannot apply rule “anxious ∧ jittery ⇒ nervous” because missing: anxious.
   Cannot apply rule “easy ∧ bright ⇒ nervous” because missing: easy, bright.
   Cannot apply rule “thoughtless ∧ inquisitive ⇒ nervous” because missing: thoughtless.
",0,6
"Facts:  Alice is ugliest [PERIOD] Alice is hurt [PERIOD]
Rules:
pessimistic [AND] precious [AND] naughty [IMPLY] frightened [PERIOD]
nervous [AND] thoughtful [AND] perfect [IMPLY] ugliest [PERIOD]
perfect [AND] selfish [IMPLY] frightened [PERIOD]
proud [IMPLY] bright [PERIOD]
nervous [IMPLY] perfect [PERIOD]
frightened [AND] selfish [IMPLY] precious [PERIOD]
crowded [AND] selfish [AND] perfect [IMPLY] friendly [PERIOD]
perfect [IMPLY] sleepy [PERIOD]
hurt [IMPLY] pessimistic [PERIOD]
proud [AND] nervous [IMPLY] bright [PERIOD]
selfish [IMPLY] nervous [PERIOD]
smart [AND] hurt [AND] sleepy [IMPLY] bright [PERIOD]
hurt [IMPLY] friendly [PERIOD]
shiny [AND] proud [AND] bright [IMPLY] ugliest [PERIOD]
smart [IMPLY] crowded [PERIOD]
crowded [AND] ugliest [IMPLY] friendly [PERIOD]
proud [AND] perfect [AND] nervous [IMPLY] shiny [PERIOD]
ugliest [IMPLY] innocent [PERIOD]
pessimistic [IMPLY] nervous [PERIOD]
distinct [AND] ugliest [AND] shiny [IMPLY] selfish [PERIOD]
smart [AND] sleepy [AND] crowded [IMPLY] shiny [PERIOD]
thoughtful [IMPLY] distinct [PERIOD]
pessimistic [AND] selfish [IMPLY] proud [PERIOD]
crowded [IMPLY] thoughtful [PERIOD]
sleepy [AND] naughty [IMPLY] smart [PERIOD]
sleepy [AND] thoughtful [AND] precious [IMPLY] smart [PERIOD]
naughty [IMPLY] friendly [PERIOD]
innocent [AND] bright [AND] nervous [IMPLY] precious [PERIOD]
distinct [AND] crowded [IMPLY] hurt [PERIOD]
pessimistic [AND] shiny [IMPLY] thoughtful [PERIOD]
pessimistic [AND] sleepy [IMPLY] perfect [PERIOD]
friendly [AND] bright [IMPLY] ugliest [PERIOD]
distinct [AND] ugliest [AND] pessimistic [IMPLY] hurt [PERIOD]
shiny [AND] smart [AND] selfish [IMPLY] thoughtful [PERIOD]
nervous [AND] sleepy [AND] bright [IMPLY] perfect [PERIOD]
nervous [AND] smart [AND] shiny [IMPLY] pessimistic [PERIOD]
selfish [AND] hurt [AND] nervous [IMPLY] smart [PERIOD]
precious [AND] hurt [IMPLY] crowded [PERIOD]
thoughtful [AND] ugliest [AND] naughty [IMPLY] shiny [PERIOD]
friendly [IMPLY] hurt [PERIOD]
bright [IMPLY] naughty [PERIOD]
naughty [IMPLY] frightened [PERIOD]
bright [IMPLY] pessimistic [PERIOD]
sleepy [AND] innocent [AND] hurt [IMPLY] nervous [PERIOD]
proud [AND] perfect [AND] shiny [IMPLY] nervous [PERIOD]
frightened [AND] distinct [IMPLY] pessimistic [PERIOD]
bright [IMPLY] nervous [PERIOD]
shiny [IMPLY] selfish [PERIOD]
naughty [AND] bright [IMPLY] sleepy [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
   hurt ⇒ pessimistic
   Cannot apply rule “pessimistic ∧ precious ∧ naughty ⇒ frightened” because missing: precious, naughty.
   hurt ⇒ pessimistic
   pessimistic ⇒ nervous
   nervous ⇒ perfect
   Cannot apply rule “perfect ∧ selfish ⇒ frightened” because missing: selfish.
   Cannot apply rule “naughty ⇒ frightened” because missing: naughty.
",0,7
"Facts:  Alice is worried [PERIOD] Alice is disgusted [PERIOD] Alice is charming [PERIOD] Alice is witty [PERIOD] Alice is different [PERIOD] Alice is old-fashioned [PERIOD] Alice is stupid [PERIOD] Alice is modern [PERIOD] Alice is homely [PERIOD] Alice is tense [PERIOD] Alice is dull [PERIOD] Alice is smart [PERIOD] Alice is fearless [PERIOD] Alice is straightforward [PERIOD] Alice is hypocritical [PERIOD] Alice is anxious [PERIOD] Alice is light [PERIOD] Alice is calm [PERIOD] Alice is sensible [PERIOD] Alice is alert [PERIOD] Alice is quaint [PERIOD] Alice is average [PERIOD] Alice is clean [PERIOD] Alice is difficult [PERIOD] Alice is grumpy [PERIOD] Alice is blushing [PERIOD] Alice is shiny [PERIOD] Alice is ugliest [PERIOD] Alice is hurt [PERIOD]
Rules:
dull [AND] light [IMPLY] stupid [PERIOD]
fearless [AND] worried [IMPLY] alert [PERIOD]
clean [IMPLY] average [PERIOD]
stupid [IMPLY] worried [PERIOD]
old-fashioned [IMPLY] grumpy [PERIOD]
worried [AND] disgusted [IMPLY] straightforward [PERIOD]
average [AND] grumpy [AND] old-fashioned [IMPLY] homely [PERIOD]
modern [AND] difficult [AND] clean [IMPLY] blushing [PERIOD]
sensible [AND] calm [AND] tender [IMPLY] hurt [PERIOD]
straightforward [AND] anxious [IMPLY] charming [PERIOD]
average [IMPLY] hypocritical [PERIOD]
smart [AND] disgusted [IMPLY] hypocritical [PERIOD]
light [AND] tense [IMPLY] worried [PERIOD]
quaint [AND] homely [IMPLY] sensible [PERIOD]
different [AND] hypocritical [IMPLY] difficult [PERIOD]
old-fashioned [AND] sensible [IMPLY] disgusted [PERIOD]
stupid [IMPLY] different [PERIOD]
dull [AND] hypocritical [AND] smart [IMPLY] blushing [PERIOD]
ugliest [AND] grumpy [AND] quaint [IMPLY] tender [PERIOD]
charming [AND] straightforward [IMPLY] worried [PERIOD]
grumpy [IMPLY] difficult [PERIOD]
disgusted [IMPLY] dull [PERIOD]
sensible [AND] quaint [AND] modern [IMPLY] anxious [PERIOD]
dull [IMPLY] smart [PERIOD]
anxious [AND] fearless [IMPLY] homely [PERIOD]
alert [AND] average [IMPLY] worried [PERIOD]
clean [IMPLY] disgusted [PERIOD]
smart [IMPLY] light [PERIOD]
quaint [IMPLY] dull [PERIOD]
ugliest [AND] quaint [IMPLY] sensible [PERIOD]
anxious [IMPLY] tense [PERIOD]
anxious [IMPLY] charming [PERIOD]
disgusted [AND] clean [AND] shiny [IMPLY] hypocritical [PERIOD]
modern [AND] clean [IMPLY] tense [PERIOD]
stupid [IMPLY] witty [PERIOD]
grumpy [AND] clean [AND] homely [IMPLY] difficult [PERIOD]
different [AND] grumpy [AND] difficult [IMPLY] old-fashioned [PERIOD]
sensible [IMPLY] worried [PERIOD]
smart [AND] dull [IMPLY] light [PERIOD]
stupid [AND] hypocritical [IMPLY] charming [PERIOD]
difficult [IMPLY] worried [PERIOD]
hurt [AND] different [AND] tense [IMPLY] dull [PERIOD]
sensible [IMPLY] disgusted [PERIOD]
average [AND] dull [IMPLY] smart [PERIOD]
alert [AND] hurt [AND] homely [IMPLY] grumpy [PERIOD]
dull [AND] stupid [IMPLY] old-fashioned [PERIOD]
tense [AND] blushing [IMPLY] hypocritical [PERIOD]
hurt [AND] light [AND] calm [IMPLY] shiny [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   ugliest ∧ grumpy ∧ quaint ⇒ tender
",1,1
"Facts:  Alice is clean [PERIOD] Alice is bright [PERIOD] Alice is courageous [PERIOD] Alice is hilarious [PERIOD] Alice is tired [PERIOD] Alice is frail [PERIOD] Alice is beautiful [PERIOD]
Rules:
cute [AND] hilarious [IMPLY] thoughtless [PERIOD]
aggressive [AND] troubled [AND] cute [IMPLY] tidy [PERIOD]
grumpy [AND] cute [AND] combative [IMPLY] bright [PERIOD]
tired [AND] thoughtless [IMPLY] combative [PERIOD]
bright [AND] enchanting [AND] clean [IMPLY] weary [PERIOD]
smart [IMPLY] clean [PERIOD]
courageous [IMPLY] horrible [PERIOD]
diplomatic [IMPLY] bright [PERIOD]
horrible [IMPLY] cute [PERIOD]
muddy [IMPLY] clean [PERIOD]
smart [IMPLY] aggressive [PERIOD]
muddy [AND] grumpy [AND] combative [IMPLY] gorgeous [PERIOD]
courageous [AND] grumpy [IMPLY] clean [PERIOD]
beautiful [AND] powerful [IMPLY] frail [PERIOD]
tired [AND] thoughtless [IMPLY] frail [PERIOD]
clean [AND] tired [AND] cute [IMPLY] enchanting [PERIOD]
courageous [IMPLY] aggressive [PERIOD]
gorgeous [AND] weary [AND] powerful [IMPLY] impartial [PERIOD]
enchanting [AND] tired [AND] impartial [IMPLY] gorgeous [PERIOD]
aggressive [IMPLY] enchanting [PERIOD]
tidy [IMPLY] troubled [PERIOD]
gorgeous [AND] grumpy [IMPLY] weary [PERIOD]
gorgeous [AND] clean [AND] enchanting [IMPLY] grumpy [PERIOD]
thoughtless [IMPLY] frail [PERIOD]
beautiful [AND] enchanting [IMPLY] courageous [PERIOD]
tidy [IMPLY] weary [PERIOD]
impartial [AND] combative [AND] grumpy [IMPLY] tired [PERIOD]
powerful [AND] horrible [IMPLY] diplomatic [PERIOD]
smart [AND] clean [AND] bright [IMPLY] beautiful [PERIOD]
frail [AND] gorgeous [AND] hilarious [IMPLY] weary [PERIOD]
gorgeous [AND] troubled [AND] bright [IMPLY] muddy [PERIOD]
aggressive [AND] grumpy [IMPLY] troubled [PERIOD]
tidy [AND] impartial [AND] smart [IMPLY] powerful [PERIOD]
frail [AND] hilarious [IMPLY] courageous [PERIOD]
combative [AND] cute [AND] grumpy [IMPLY] tired [PERIOD]
diplomatic [AND] combative [AND] gorgeous [IMPLY] enchanting [PERIOD]
enchanting [AND] frail [IMPLY] combative [PERIOD]
enchanting [AND] bright [IMPLY] grumpy [PERIOD]
bright [AND] gorgeous [AND] clean [IMPLY] grumpy [PERIOD]
impartial [AND] courageous [AND] cute [IMPLY] horrible [PERIOD]
hilarious [AND] troubled [IMPLY] enchanting [PERIOD]
hilarious [AND] tidy [IMPLY] clean [PERIOD]
tired [IMPLY] combative [PERIOD]
tired [AND] frail [AND] tidy [IMPLY] impartial [PERIOD]
powerful [IMPLY] combative [PERIOD]
clean [AND] thoughtless [IMPLY] enchanting [PERIOD]
frail [AND] cute [IMPLY] beautiful [PERIOD]
grumpy [AND] beautiful [AND] smart [IMPLY] muddy [PERIOD]
enchanting [AND] thoughtless [IMPLY] powerful [PERIOD]
courageous [AND] muddy [IMPLY] aggressive [PERIOD]
diplomatic [IMPLY] beautiful [PERIOD]
impartial [AND] clean [IMPLY] cute [PERIOD]
cute [AND] tired [IMPLY] horrible [PERIOD]
frail [IMPLY] smart [PERIOD]
smart [IMPLY] weary [PERIOD]
tidy [AND] muddy [IMPLY] cute [PERIOD]
aggressive [IMPLY] thoughtless [PERIOD]
tidy [IMPLY] frail [PERIOD]
smart [AND] frail [IMPLY] hilarious [PERIOD]
enchanting [AND] grumpy [IMPLY] courageous [PERIOD]
diplomatic [IMPLY] grumpy [PERIOD]
Query: Alice is powerful [PERIOD]","Proof chain:
   courageous ⇒ aggressive
   aggressive ⇒ enchanting
   courageous ⇒ aggressive
   aggressive ⇒ thoughtless
   enchanting ∧ thoughtless ⇒ powerful
",1,5
"Facts:  Alice is confused [PERIOD] Alice is straightforward [PERIOD] Alice is proud [PERIOD]
Rules:
inexpensive [AND] proud [AND] careless [IMPLY] frail [PERIOD]
perfect [IMPLY] average [PERIOD]
innocent [AND] careless [IMPLY] inexpensive [PERIOD]
careless [IMPLY] confused [PERIOD]
careless [AND] dishonest [IMPLY] difficult [PERIOD]
proud [IMPLY] bad-tempered [PERIOD]
frail [AND] innocent [IMPLY] ugliest [PERIOD]
elegant [AND] average [AND] dishonest [IMPLY] witty [PERIOD]
witty [AND] bad-tempered [AND] dishonest [IMPLY] straightforward [PERIOD]
frail [IMPLY] proud [PERIOD]
dishonest [AND] innocent [IMPLY] frail [PERIOD]
careless [IMPLY] proud [PERIOD]
perfect [AND] average [IMPLY] dishonest [PERIOD]
perfect [IMPLY] glamorous [PERIOD]
confused [IMPLY] perfect [PERIOD]
confused [IMPLY] difficult [PERIOD]
elegant [AND] witty [AND] innocent [IMPLY] frail [PERIOD]
wandering [IMPLY] frail [PERIOD]
innocent [AND] straightforward [AND] perfect [IMPLY] frail [PERIOD]
proud [AND] dishonest [IMPLY] straightforward [PERIOD]
bad-tempered [AND] inexpensive [IMPLY] difficult [PERIOD]
ugliest [AND] difficult [AND] frail [IMPLY] glamorous [PERIOD]
bad-tempered [AND] proud [AND] difficult [IMPLY] inexpensive [PERIOD]
witty [IMPLY] glamorous [PERIOD]
elegant [AND] confused [AND] perfect [IMPLY] straightforward [PERIOD]
wandering [IMPLY] inexpensive [PERIOD]
witty [AND] difficult [AND] glamorous [IMPLY] bad-tempered [PERIOD]
witty [AND] wandering [IMPLY] proud [PERIOD]
ugliest [IMPLY] wandering [PERIOD]
bad-tempered [AND] glamorous [IMPLY] witty [PERIOD]
perfect [AND] glamorous [IMPLY] confused [PERIOD]
wandering [AND] perfect [IMPLY] inexpensive [PERIOD]
dishonest [IMPLY] elegant [PERIOD]
dishonest [AND] average [AND] wandering [IMPLY] careless [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   confused ⇒ perfect
   confused ⇒ perfect
   perfect ⇒ average
   perfect ∧ average ⇒ dishonest
   confused ⇒ perfect
   perfect ⇒ average
   Cannot apply rule “dishonest ∧ average ∧ wandering ⇒ careless” because missing: wandering.
",0,7
"Facts:  Alice is friendly [PERIOD] Alice is agreeable [PERIOD] Alice is ugly [PERIOD] Alice is victorious [PERIOD] Alice is exuberant [PERIOD] Alice is rude [PERIOD] Alice is anxious [PERIOD] Alice is embarrassed [PERIOD] Alice is average [PERIOD] Alice is frantic [PERIOD] Alice is innocent [PERIOD] Alice is elegant [PERIOD] Alice is cute [PERIOD] Alice is glamorous [PERIOD] Alice is fine [PERIOD] Alice is calm [PERIOD] Alice is joyous [PERIOD] Alice is foolish [PERIOD] Alice is lucky [PERIOD] Alice is thoughtless [PERIOD]
Rules:
old-fashioned [AND] friendly [AND] anxious [IMPLY] rational [PERIOD]
foolish [AND] fine [IMPLY] joyous [PERIOD]
calm [IMPLY] fine [PERIOD]
glamorous [AND] old-fashioned [IMPLY] tired [PERIOD]
victorious [AND] reserved [IMPLY] anxious [PERIOD]
sensible [IMPLY] fine [PERIOD]
victorious [IMPLY] elegant [PERIOD]
exuberant [AND] reserved [AND] ugly [IMPLY] rude [PERIOD]
embarrassed [IMPLY] joyous [PERIOD]
joyous [AND] glamorous [AND] anxious [IMPLY] lucky [PERIOD]
agreeable [AND] joyous [IMPLY] calm [PERIOD]
frantic [AND] joyous [IMPLY] old-fashioned [PERIOD]
exuberant [AND] rational [IMPLY] calm [PERIOD]
anxious [IMPLY] innocent [PERIOD]
exuberant [IMPLY] cute [PERIOD]
embarrassed [IMPLY] cute [PERIOD]
frantic [AND] anxious [IMPLY] thoughtless [PERIOD]
rational [AND] ugly [IMPLY] fine [PERIOD]
anxious [AND] embarrassed [AND] reserved [IMPLY] agreeable [PERIOD]
calm [AND] cute [AND] old-fashioned [IMPLY] thoughtless [PERIOD]
embarrassed [IMPLY] old-fashioned [PERIOD]
lucky [AND] glamorous [IMPLY] joyous [PERIOD]
victorious [AND] elegant [IMPLY] foolish [PERIOD]
old-fashioned [AND] exuberant [IMPLY] joyous [PERIOD]
embarrassed [AND] tired [IMPLY] exuberant [PERIOD]
average [IMPLY] friendly [PERIOD]
joyous [AND] calm [IMPLY] victorious [PERIOD]
embarrassed [AND] glamorous [IMPLY] cute [PERIOD]
ugly [AND] frantic [AND] rude [IMPLY] rational [PERIOD]
innocent [AND] tired [AND] elegant [IMPLY] victorious [PERIOD]
innocent [AND] lucky [AND] friendly [IMPLY] rude [PERIOD]
Query: Alice is tired [PERIOD]","Proof chain:
   embarrassed ⇒ old-fashioned
   glamorous ∧ old-fashioned ⇒ tired
",1,2
"Facts:  Alice is long [PERIOD] Alice is tidy [PERIOD] Alice is exuberant [PERIOD]
Rules:
worrisome [AND] exuberant [IMPLY] attentive [PERIOD]
anxious [AND] popular [AND] attentive [IMPLY] intellectual [PERIOD]
long [AND] glamorous [AND] worrisome [IMPLY] perfect [PERIOD]
glamorous [AND] intellectual [IMPLY] long [PERIOD]
impartial [IMPLY] friendly [PERIOD]
perfect [IMPLY] intellectual [PERIOD]
reserved [AND] mean [AND] famous [IMPLY] long [PERIOD]
exuberant [AND] popular [IMPLY] reserved [PERIOD]
popular [IMPLY] mean [PERIOD]
famous [IMPLY] friendly [PERIOD]
impartial [IMPLY] stubborn [PERIOD]
hurt [IMPLY] intellectual [PERIOD]
messy [AND] ugliest [AND] reserved [IMPLY] hurt [PERIOD]
ugliest [IMPLY] tidy [PERIOD]
mean [IMPLY] messy [PERIOD]
popular [IMPLY] anxious [PERIOD]
exuberant [AND] impartial [AND] intellectual [IMPLY] frightened [PERIOD]
ugliest [AND] glamorous [AND] attentive [IMPLY] anxious [PERIOD]
intellectual [AND] worrisome [AND] long [IMPLY] anxious [PERIOD]
elated [AND] hurt [IMPLY] glamorous [PERIOD]
exuberant [AND] friendly [IMPLY] impartial [PERIOD]
glamorous [AND] anxious [AND] attentive [IMPLY] perfect [PERIOD]
messy [AND] attentive [IMPLY] popular [PERIOD]
frightened [IMPLY] attentive [PERIOD]
anxious [AND] frightened [AND] famous [IMPLY] attentive [PERIOD]
anxious [AND] elated [IMPLY] messy [PERIOD]
friendly [AND] reserved [IMPLY] stubborn [PERIOD]
impartial [AND] tidy [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] hurt [PERIOD]
glamorous [IMPLY] stubborn [PERIOD]
mean [AND] elated [AND] frightened [IMPLY] anxious [PERIOD]
reserved [IMPLY] impartial [PERIOD]
ugliest [IMPLY] impartial [PERIOD]
ugliest [AND] muddy [AND] popular [IMPLY] mean [PERIOD]
muddy [IMPLY] elated [PERIOD]
friendly [AND] glamorous [AND] frightened [IMPLY] anxious [PERIOD]
friendly [IMPLY] elated [PERIOD]
perfect [AND] frightened [IMPLY] impartial [PERIOD]
intellectual [IMPLY] friendly [PERIOD]
famous [AND] anxious [IMPLY] tidy [PERIOD]
stubborn [AND] famous [AND] reserved [IMPLY] worrisome [PERIOD]
long [IMPLY] hurt [PERIOD]
exuberant [AND] reserved [IMPLY] long [PERIOD]
intellectual [AND] popular [IMPLY] frightened [PERIOD]
frightened [AND] worrisome [IMPLY] reserved [PERIOD]
reserved [IMPLY] anxious [PERIOD]
messy [AND] reserved [AND] stubborn [IMPLY] hurt [PERIOD]
popular [AND] ugliest [AND] mean [IMPLY] reserved [PERIOD]
worrisome [IMPLY] hurt [PERIOD]
muddy [IMPLY] perfect [PERIOD]
glamorous [IMPLY] mean [PERIOD]
popular [AND] mean [AND] elated [IMPLY] perfect [PERIOD]
famous [AND] stubborn [AND] hurt [IMPLY] exuberant [PERIOD]
elated [AND] famous [AND] exuberant [IMPLY] messy [PERIOD]
messy [AND] popular [AND] worrisome [IMPLY] impartial [PERIOD]
frightened [AND] glamorous [IMPLY] hurt [PERIOD]
reserved [AND] messy [IMPLY] tidy [PERIOD]
perfect [IMPLY] friendly [PERIOD]
stubborn [AND] hurt [IMPLY] frightened [PERIOD]
tidy [AND] intellectual [AND] perfect [IMPLY] attentive [PERIOD]
glamorous [AND] popular [IMPLY] exuberant [PERIOD]
reserved [IMPLY] worrisome [PERIOD]
reserved [IMPLY] frightened [PERIOD]
intellectual [IMPLY] worrisome [PERIOD]
friendly [AND] anxious [AND] elated [IMPLY] popular [PERIOD]
muddy [AND] reserved [AND] friendly [IMPLY] famous [PERIOD]
worrisome [IMPLY] intellectual [PERIOD]
elated [AND] ugliest [AND] exuberant [IMPLY] stubborn [PERIOD]
long [AND] friendly [AND] ugliest [IMPLY] frightened [PERIOD]
mean [AND] long [AND] elated [IMPLY] reserved [PERIOD]
friendly [AND] exuberant [IMPLY] ugliest [PERIOD]
mean [AND] frightened [AND] messy [IMPLY] tidy [PERIOD]
hurt [IMPLY] exuberant [PERIOD]
glamorous [AND] intellectual [IMPLY] muddy [PERIOD]
frightened [IMPLY] hurt [PERIOD]
frightened [IMPLY] exuberant [PERIOD]
elated [AND] glamorous [AND] exuberant [IMPLY] messy [PERIOD]
stubborn [IMPLY] exuberant [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   long ⇒ hurt
   hurt ⇒ intellectual
   intellectual ⇒ friendly
   friendly ⇒ elated
   long ⇒ hurt
   elated ∧ hurt ⇒ glamorous
",1,6
"Facts: 
Rules:
serious [AND] weary [AND] fine [IMPLY] jittery [PERIOD]
mean [AND] calm [IMPLY] worried [PERIOD]
selfish [AND] vivacious [IMPLY] tense [PERIOD]
fine [IMPLY] dishonest [PERIOD]
curious [AND] dishonest [IMPLY] fine [PERIOD]
curious [AND] frail [AND] jittery [IMPLY] rational [PERIOD]
worried [AND] inquisitive [AND] light [IMPLY] weary [PERIOD]
mean [IMPLY] calm [PERIOD]
selfish [AND] vivacious [AND] fine [IMPLY] impatient [PERIOD]
inquisitive [IMPLY] worried [PERIOD]
impatient [AND] calm [IMPLY] selfish [PERIOD]
serious [IMPLY] courageous [PERIOD]
vivacious [IMPLY] weary [PERIOD]
light [AND] exuberant [IMPLY] jittery [PERIOD]
anxious [AND] rational [IMPLY] inquisitive [PERIOD]
blushing [IMPLY] selfish [PERIOD]
selfish [AND] calm [AND] dishonest [IMPLY] courageous [PERIOD]
jittery [AND] serious [IMPLY] rational [PERIOD]
gifted [AND] impatient [AND] frail [IMPLY] courageous [PERIOD]
impatient [IMPLY] joyous [PERIOD]
jittery [AND] anxious [AND] mean [IMPLY] fine [PERIOD]
blushing [AND] fine [IMPLY] rational [PERIOD]
worried [AND] rational [IMPLY] inquisitive [PERIOD]
talented [AND] tense [IMPLY] dishonest [PERIOD]
light [AND] gifted [AND] selfish [IMPLY] anxious [PERIOD]
selfish [AND] joyous [IMPLY] exuberant [PERIOD]
light [IMPLY] tense [PERIOD]
blushing [AND] weary [IMPLY] gifted [PERIOD]
worried [IMPLY] jittery [PERIOD]
exuberant [IMPLY] courageous [PERIOD]
gifted [AND] weary [AND] hypocritical [IMPLY] serious [PERIOD]
jittery [AND] talented [IMPLY] exuberant [PERIOD]
inquisitive [IMPLY] blushing [PERIOD]
light [AND] rational [IMPLY] talented [PERIOD]
worried [AND] tense [AND] exuberant [IMPLY] serious [PERIOD]
blushing [AND] gifted [AND] sleepy [IMPLY] serious [PERIOD]
selfish [AND] blushing [AND] hypocritical [IMPLY] curious [PERIOD]
joyous [IMPLY] courageous [PERIOD]
serious [IMPLY] calm [PERIOD]
calm [AND] weary [IMPLY] dishonest [PERIOD]
serious [IMPLY] curious [PERIOD]
selfish [AND] mean [IMPLY] worried [PERIOD]
exuberant [IMPLY] hypocritical [PERIOD]
vivacious [AND] fine [IMPLY] talented [PERIOD]
tense [AND] serious [AND] anxious [IMPLY] calm [PERIOD]
worried [AND] exuberant [AND] courageous [IMPLY] anxious [PERIOD]
sleepy [IMPLY] hypocritical [PERIOD]
impatient [IMPLY] curious [PERIOD]
talented [IMPLY] courageous [PERIOD]
curious [AND] joyous [AND] tense [IMPLY] gifted [PERIOD]
hypocritical [AND] rational [AND] impatient [IMPLY] joyous [PERIOD]
impatient [IMPLY] light [PERIOD]
frail [AND] mean [IMPLY] weary [PERIOD]
tense [AND] mean [AND] sleepy [IMPLY] worried [PERIOD]
anxious [IMPLY] frail [PERIOD]
inquisitive [AND] selfish [IMPLY] fine [PERIOD]
light [AND] courageous [AND] fine [IMPLY] dishonest [PERIOD]
curious [IMPLY] serious [PERIOD]
blushing [AND] frail [IMPLY] rational [PERIOD]
sleepy [AND] joyous [AND] mean [IMPLY] worried [PERIOD]
mean [IMPLY] blushing [PERIOD]
selfish [AND] mean [IMPLY] jittery [PERIOD]
selfish [AND] light [IMPLY] calm [PERIOD]
weary [AND] fine [AND] courageous [IMPLY] vivacious [PERIOD]
joyous [AND] exuberant [IMPLY] inquisitive [PERIOD]
gifted [AND] worried [AND] hypocritical [IMPLY] rational [PERIOD]
inquisitive [AND] selfish [AND] mean [IMPLY] joyous [PERIOD]
serious [IMPLY] dishonest [PERIOD]
selfish [AND] calm [IMPLY] impatient [PERIOD]
frail [AND] tense [AND] sleepy [IMPLY] calm [PERIOD]
rational [AND] worried [AND] exuberant [IMPLY] gifted [PERIOD]
blushing [AND] gifted [IMPLY] hypocritical [PERIOD]
impatient [AND] curious [IMPLY] gifted [PERIOD]
talented [IMPLY] joyous [PERIOD]
selfish [IMPLY] inquisitive [PERIOD]
courageous [AND] serious [AND] joyous [IMPLY] blushing [PERIOD]
inquisitive [AND] curious [IMPLY] worried [PERIOD]
weary [AND] talented [AND] joyous [IMPLY] courageous [PERIOD]
impatient [AND] talented [IMPLY] weary [PERIOD]
serious [IMPLY] joyous [PERIOD]
calm [AND] mean [IMPLY] jittery [PERIOD]
jittery [IMPLY] mean [PERIOD]
jittery [AND] rational [AND] gifted [IMPLY] selfish [PERIOD]
blushing [AND] inquisitive [AND] frail [IMPLY] serious [PERIOD]
gifted [AND] worried [AND] blushing [IMPLY] frail [PERIOD]
light [AND] gifted [AND] anxious [IMPLY] inquisitive [PERIOD]
exuberant [AND] vivacious [AND] courageous [IMPLY] anxious [PERIOD]
gifted [IMPLY] jittery [PERIOD]
frail [AND] blushing [IMPLY] joyous [PERIOD]
dishonest [IMPLY] mean [PERIOD]
weary [AND] rational [IMPLY] curious [PERIOD]
serious [AND] dishonest [IMPLY] gifted [PERIOD]
courageous [IMPLY] light [PERIOD]
selfish [AND] exuberant [AND] calm [IMPLY] dishonest [PERIOD]
gifted [AND] mean [IMPLY] dishonest [PERIOD]
hypocritical [AND] serious [AND] mean [IMPLY] worried [PERIOD]
anxious [AND] inquisitive [AND] gifted [IMPLY] jittery [PERIOD]
frail [AND] weary [IMPLY] mean [PERIOD]
blushing [AND] vivacious [IMPLY] inquisitive [PERIOD]
dishonest [AND] calm [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] blushing [PERIOD]
hypocritical [AND] calm [IMPLY] gifted [PERIOD]
joyous [AND] hypocritical [AND] weary [IMPLY] vivacious [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   Cannot apply rule “fine ⇒ dishonest” because missing: fine.
   Cannot apply rule “talented ∧ tense ⇒ dishonest” because missing: talented, tense.
   Cannot apply rule “calm ∧ weary ⇒ dishonest” because missing: calm, weary.
   Cannot apply rule “light ∧ courageous ∧ fine ⇒ dishonest” because missing: light, courageous, fine.
   Cannot apply rule “serious ⇒ dishonest” because missing: serious.
   Cannot apply rule “selfish ∧ exuberant ∧ calm ⇒ dishonest” because missing: selfish, exuberant, calm.
   Cannot apply rule “gifted ∧ mean ⇒ dishonest” because missing: gifted, mean.
",0,7
"Facts:  Alice is dull [PERIOD] Alice is exuberant [PERIOD] Alice is broad-minded [PERIOD] Alice is naughty [PERIOD] Alice is tidy [PERIOD] Alice is outstanding [PERIOD] Alice is fragile [PERIOD] Alice is powerful [PERIOD] Alice is old-fashioned [PERIOD] Alice is busy [PERIOD] Alice is shiny [PERIOD] Alice is different [PERIOD] Alice is proud [PERIOD]
Rules:
diplomatic [AND] proud [IMPLY] shy [PERIOD]
dull [AND] enchanting [IMPLY] beautiful [PERIOD]
shiny [AND] attentive [IMPLY] long [PERIOD]
shy [AND] powerful [IMPLY] tidy [PERIOD]
long [IMPLY] proud [PERIOD]
tidy [AND] scared [IMPLY] different [PERIOD]
loving [AND] attentive [AND] beautiful [IMPLY] outstanding [PERIOD]
gleaming [AND] attentive [IMPLY] fragile [PERIOD]
zealous [AND] diplomatic [AND] scared [IMPLY] beautiful [PERIOD]
exuberant [AND] nervous [AND] attentive [IMPLY] uptight [PERIOD]
uptight [IMPLY] broad-minded [PERIOD]
tidy [AND] attentive [IMPLY] diplomatic [PERIOD]
proud [IMPLY] different [PERIOD]
shy [IMPLY] old-fashioned [PERIOD]
tidy [IMPLY] shy [PERIOD]
different [AND] clean [AND] beautiful [IMPLY] old-fashioned [PERIOD]
enchanting [IMPLY] long [PERIOD]
zealous [IMPLY] fragile [PERIOD]
proud [AND] old-fashioned [IMPLY] gleaming [PERIOD]
proud [AND] clean [AND] enchanting [IMPLY] exuberant [PERIOD]
long [AND] beautiful [IMPLY] different [PERIOD]
zealous [AND] beautiful [IMPLY] uptight [PERIOD]
enchanting [IMPLY] loving [PERIOD]
proud [IMPLY] gleaming [PERIOD]
tidy [AND] gleaming [AND] naughty [IMPLY] shiny [PERIOD]
naughty [AND] scared [AND] loving [IMPLY] gorgeous [PERIOD]
pessimistic [AND] broad-minded [AND] dull [IMPLY] diplomatic [PERIOD]
attentive [AND] long [AND] diplomatic [IMPLY] shiny [PERIOD]
gleaming [AND] clean [AND] uptight [IMPLY] exuberant [PERIOD]
clean [IMPLY] powerful [PERIOD]
proud [AND] naughty [IMPLY] clean [PERIOD]
old-fashioned [AND] nervous [IMPLY] gorgeous [PERIOD]
shy [AND] attentive [AND] dull [IMPLY] proud [PERIOD]
loving [AND] shy [IMPLY] diplomatic [PERIOD]
tidy [AND] old-fashioned [IMPLY] long [PERIOD]
proud [AND] busy [IMPLY] loving [PERIOD]
pessimistic [AND] exuberant [IMPLY] different [PERIOD]
long [AND] powerful [AND] loving [IMPLY] enchanting [PERIOD]
powerful [AND] shiny [IMPLY] nervous [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   powerful ∧ shiny ⇒ nervous
   Cannot apply rule “exuberant ∧ nervous ∧ attentive ⇒ uptight” because missing: attentive.
   tidy ∧ old-fashioned ⇒ long
   proud ∧ busy ⇒ loving
   long ∧ powerful ∧ loving ⇒ enchanting
   dull ∧ enchanting ⇒ beautiful
   Cannot apply rule “zealous ∧ beautiful ⇒ uptight” because missing: zealous.
",0,7
"Facts:  Alice is lucky [PERIOD] Alice is wandering [PERIOD]
Rules:
messy [AND] lucky [IMPLY] hurt [PERIOD]
lucky [AND] hurt [IMPLY] enchanting [PERIOD]
wandering [IMPLY] lucky [PERIOD]
lucky [AND] messy [IMPLY] wandering [PERIOD]
enchanting [IMPLY] messy [PERIOD]
messy [AND] enchanting [AND] hurt [IMPLY] wandering [PERIOD]
lucky [AND] wandering [AND] messy [IMPLY] hurt [PERIOD]
enchanting [IMPLY] wandering [PERIOD]
hurt [IMPLY] messy [PERIOD]
enchanting [AND] messy [AND] wandering [IMPLY] hurt [PERIOD]
lucky [AND] wandering [AND] hurt [IMPLY] messy [PERIOD]
enchanting [AND] hurt [AND] wandering [IMPLY] messy [PERIOD]
lucky [AND] hurt [AND] enchanting [IMPLY] messy [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   Cannot apply rule “messy ∧ lucky ⇒ hurt” because missing: messy.
   Cannot apply rule “lucky ∧ wandering ∧ messy ⇒ hurt” because missing: messy.
   Cannot apply rule “enchanting ∧ messy ∧ wandering ⇒ hurt” because missing: enchanting, messy.
",0,3
"Facts:  Alice is proud [PERIOD] Alice is serious [PERIOD] Alice is disobedient [PERIOD] Alice is stubborn [PERIOD] Alice is helpful [PERIOD]
Rules:
hilarious [IMPLY] disobedient [PERIOD]
disobedient [AND] fancy [AND] ambitious [IMPLY] hilarious [PERIOD]
vivacious [AND] ambitious [AND] helpful [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] old-fashioned [PERIOD]
hilarious [AND] proud [IMPLY] dishonest [PERIOD]
grumpy [IMPLY] polite [PERIOD]
gleaming [AND] dishonest [IMPLY] thoughtful [PERIOD]
gleaming [AND] helpful [IMPLY] stubborn [PERIOD]
old-fashioned [AND] lonely [IMPLY] ambitious [PERIOD]
troubled [AND] polite [AND] serious [IMPLY] gleaming [PERIOD]
disobedient [IMPLY] vivacious [PERIOD]
polite [IMPLY] helpful [PERIOD]
gleaming [AND] outrageous [AND] fancy [IMPLY] helpful [PERIOD]
disobedient [AND] broad-minded [AND] grumpy [IMPLY] thoughtful [PERIOD]
outrageous [AND] dishonest [AND] fancy [IMPLY] lonely [PERIOD]
gleaming [IMPLY] thoughtful [PERIOD]
old-fashioned [AND] gleaming [IMPLY] ugliest [PERIOD]
old-fashioned [IMPLY] outrageous [PERIOD]
vivacious [AND] grumpy [IMPLY] perfect [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
   disobedient ⇒ vivacious
   Cannot apply rule “vivacious ∧ ambitious ∧ helpful ⇒ ugliest” because missing: ambitious.
   Cannot apply rule “old-fashioned ∧ gleaming ⇒ ugliest” because missing: old-fashioned, gleaming.
",0,3
"Facts:  Alice is lonely [PERIOD]
Rules:
serious [AND] broad-minded [IMPLY] lonely [PERIOD]
confident [IMPLY] lonely [PERIOD]
confident [AND] broad-minded [IMPLY] alert [PERIOD]
alert [IMPLY] lonely [PERIOD]
lonely [IMPLY] broad-minded [PERIOD]
serious [AND] broad-minded [AND] alert [IMPLY] confident [PERIOD]
serious [AND] alert [IMPLY] confident [PERIOD]
lonely [AND] broad-minded [IMPLY] confident [PERIOD]
confident [AND] serious [AND] alert [IMPLY] lonely [PERIOD]
alert [AND] lonely [AND] broad-minded [IMPLY] confident [PERIOD]
confident [AND] lonely [IMPLY] serious [PERIOD]
broad-minded [IMPLY] lonely [PERIOD]
lonely [AND] broad-minded [AND] alert [IMPLY] serious [PERIOD]
broad-minded [IMPLY] serious [PERIOD]
lonely [AND] serious [AND] confident [IMPLY] broad-minded [PERIOD]
lonely [AND] alert [AND] confident [IMPLY] serious [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   lonely ⇒ broad-minded
   lonely ∧ broad-minded ⇒ confident
   lonely ⇒ broad-minded
   confident ∧ broad-minded ⇒ alert
",1,4
"Facts:  Alice is jittery [PERIOD] Alice is frantic [PERIOD] Alice is grumpy [PERIOD] Alice is uptight [PERIOD]
Rules:
grumpy [AND] bossy [IMPLY] proud [PERIOD]
bossy [IMPLY] stupid [PERIOD]
helpful [AND] straightforward [IMPLY] frantic [PERIOD]
bossy [AND] supportive [IMPLY] cute [PERIOD]
straightforward [IMPLY] proud [PERIOD]
long [AND] supportive [IMPLY] ugliest [PERIOD]
stupid [AND] supportive [AND] proud [IMPLY] long [PERIOD]
embarrassed [AND] uptight [IMPLY] frantic [PERIOD]
frantic [IMPLY] cooperative [PERIOD]
frantic [AND] jittery [IMPLY] embarrassed [PERIOD]
cute [IMPLY] jittery [PERIOD]
stupid [IMPLY] cute [PERIOD]
long [AND] stupid [IMPLY] ugliest [PERIOD]
cooperative [IMPLY] straightforward [PERIOD]
straightforward [AND] embarrassed [AND] proud [IMPLY] cooperative [PERIOD]
stupid [AND] jittery [AND] supportive [IMPLY] straightforward [PERIOD]
supportive [IMPLY] cooperative [PERIOD]
bossy [IMPLY] talented [PERIOD]
straightforward [AND] talented [AND] ugliest [IMPLY] cute [PERIOD]
uptight [AND] jittery [IMPLY] proud [PERIOD]
cooperative [AND] straightforward [AND] helpful [IMPLY] talented [PERIOD]
ugliest [AND] helpful [AND] jittery [IMPLY] cute [PERIOD]
uptight [IMPLY] ugliest [PERIOD]
frantic [IMPLY] straightforward [PERIOD]
straightforward [AND] frantic [IMPLY] cooperative [PERIOD]
frantic [AND] talented [AND] cute [IMPLY] jittery [PERIOD]
straightforward [AND] helpful [AND] embarrassed [IMPLY] bossy [PERIOD]
straightforward [AND] proud [AND] helpful [IMPLY] stupid [PERIOD]
embarrassed [AND] jittery [AND] uptight [IMPLY] grumpy [PERIOD]
grumpy [AND] cute [AND] ugliest [IMPLY] jittery [PERIOD]
jittery [AND] grumpy [IMPLY] embarrassed [PERIOD]
helpful [AND] proud [IMPLY] jittery [PERIOD]
bossy [IMPLY] ugliest [PERIOD]
stupid [IMPLY] uptight [PERIOD]
helpful [AND] straightforward [IMPLY] proud [PERIOD]
jittery [IMPLY] proud [PERIOD]
long [AND] straightforward [AND] bossy [IMPLY] talented [PERIOD]
jittery [AND] supportive [IMPLY] embarrassed [PERIOD]
cute [AND] bossy [IMPLY] ugliest [PERIOD]
uptight [AND] cooperative [AND] helpful [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] talented [PERIOD]
straightforward [AND] long [AND] talented [IMPLY] cooperative [PERIOD]
embarrassed [IMPLY] cooperative [PERIOD]
bossy [IMPLY] grumpy [PERIOD]
grumpy [AND] embarrassed [AND] helpful [IMPLY] jittery [PERIOD]
ugliest [AND] cooperative [IMPLY] uptight [PERIOD]
supportive [IMPLY] helpful [PERIOD]
jittery [AND] cooperative [AND] talented [IMPLY] proud [PERIOD]
grumpy [AND] frantic [AND] long [IMPLY] bossy [PERIOD]
helpful [IMPLY] ugliest [PERIOD]
straightforward [AND] talented [IMPLY] ugliest [PERIOD]
ugliest [AND] long [AND] stupid [IMPLY] jittery [PERIOD]
proud [IMPLY] straightforward [PERIOD]
long [AND] talented [AND] jittery [IMPLY] uptight [PERIOD]
cute [AND] long [AND] grumpy [IMPLY] straightforward [PERIOD]
embarrassed [AND] uptight [IMPLY] ugliest [PERIOD]
cooperative [AND] helpful [IMPLY] supportive [PERIOD]
cute [AND] bossy [IMPLY] talented [PERIOD]
jittery [IMPLY] ugliest [PERIOD]
helpful [AND] proud [IMPLY] cooperative [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   frantic ⇒ straightforward
   frantic ⇒ straightforward
   straightforward ⇒ talented
   jittery ⇒ ugliest
   straightforward ∧ talented ∧ ugliest ⇒ cute
",1,5
"Facts:  Alice is versatile [PERIOD] Alice is aggressive [PERIOD] Alice is hypocritical [PERIOD] Alice is embarrassed [PERIOD] Alice is rational [PERIOD] Alice is average [PERIOD] Alice is calm [PERIOD] Alice is crowded [PERIOD] Alice is elegant [PERIOD]
Rules:
versatile [IMPLY] calm [PERIOD]
light [AND] crowded [AND] hypocritical [IMPLY] dishonest [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is serious [PERIOD] Alice is difficult [PERIOD] Alice is fragile [PERIOD] Alice is beautiful [PERIOD] Alice is zealous [PERIOD]
Rules:
famous [AND] fragile [AND] weary [IMPLY] pleasant [PERIOD]
worrisome [AND] weary [AND] adorable [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] mysterious [PERIOD]
difficult [IMPLY] bad-tempered [PERIOD]
distinct [AND] uptight [IMPLY] tame [PERIOD]
vivacious [IMPLY] charming [PERIOD]
vivacious [AND] worried [AND] unpleasant [IMPLY] beautiful [PERIOD]
mean [IMPLY] unpleasant [PERIOD]
stubborn [AND] difficult [AND] tame [IMPLY] worried [PERIOD]
uptight [IMPLY] tame [PERIOD]
charming [AND] elegant [AND] curious [IMPLY] adorable [PERIOD]
adorable [IMPLY] curious [PERIOD]
difficult [IMPLY] charming [PERIOD]
charming [AND] pleasant [IMPLY] difficult [PERIOD]
curious [AND] difficult [AND] famous [IMPLY] bad-tempered [PERIOD]
mysterious [AND] unpleasant [AND] grumpy [IMPLY] curious [PERIOD]
zealous [AND] fragile [AND] worried [IMPLY] elegant [PERIOD]
unpleasant [IMPLY] vivacious [PERIOD]
alert [IMPLY] famous [PERIOD]
charming [AND] lucky [AND] naughty [IMPLY] worrisome [PERIOD]
worrisome [AND] pleasant [AND] disgusted [IMPLY] zealous [PERIOD]
pleasant [AND] stubborn [AND] alert [IMPLY] worrisome [PERIOD]
bad-tempered [AND] grumpy [IMPLY] disgusted [PERIOD]
fragile [AND] lucky [IMPLY] talented [PERIOD]
serious [AND] vivacious [IMPLY] mean [PERIOD]
mysterious [AND] alert [IMPLY] weary [PERIOD]
grumpy [AND] disgusted [IMPLY] zealous [PERIOD]
worrisome [IMPLY] charming [PERIOD]
stubborn [IMPLY] disgusted [PERIOD]
difficult [AND] mysterious [AND] worried [IMPLY] stubborn [PERIOD]
lucky [AND] unpleasant [AND] zealous [IMPLY] famous [PERIOD]
naughty [AND] worrisome [AND] famous [IMPLY] distinct [PERIOD]
zealous [IMPLY] mysterious [PERIOD]
pleasant [AND] stubborn [IMPLY] supportive [PERIOD]
mean [AND] serious [IMPLY] distinct [PERIOD]
weary [AND] grumpy [AND] adorable [IMPLY] tame [PERIOD]
alert [IMPLY] uptight [PERIOD]
pleasant [AND] unpleasant [IMPLY] curious [PERIOD]
naughty [IMPLY] worrisome [PERIOD]
worried [IMPLY] vivacious [PERIOD]
uptight [AND] difficult [IMPLY] lucky [PERIOD]
alert [AND] mysterious [IMPLY] grumpy [PERIOD]
stubborn [AND] fragile [AND] worrisome [IMPLY] famous [PERIOD]
worrisome [IMPLY] elegant [PERIOD]
uptight [AND] pleasant [IMPLY] alert [PERIOD]
vivacious [AND] talented [AND] uptight [IMPLY] zealous [PERIOD]
mysterious [AND] elegant [IMPLY] beautiful [PERIOD]
distinct [AND] talented [IMPLY] lucky [PERIOD]
talented [AND] pleasant [AND] elegant [IMPLY] difficult [PERIOD]
uptight [AND] curious [AND] supportive [IMPLY] famous [PERIOD]
serious [AND] talented [AND] beautiful [IMPLY] worried [PERIOD]
worrisome [AND] difficult [IMPLY] serious [PERIOD]
tame [IMPLY] vivacious [PERIOD]
curious [IMPLY] supportive [PERIOD]
stubborn [AND] charming [IMPLY] worrisome [PERIOD]
alert [IMPLY] unpleasant [PERIOD]
disgusted [IMPLY] difficult [PERIOD]
vivacious [AND] supportive [IMPLY] alert [PERIOD]
pleasant [IMPLY] alert [PERIOD]
charming [AND] adorable [IMPLY] supportive [PERIOD]
mysterious [AND] grumpy [AND] disgusted [IMPLY] alert [PERIOD]
naughty [AND] uptight [AND] adorable [IMPLY] mysterious [PERIOD]
difficult [IMPLY] unpleasant [PERIOD]
alert [IMPLY] elegant [PERIOD]
worried [IMPLY] worrisome [PERIOD]
vivacious [AND] worried [AND] pleasant [IMPLY] grumpy [PERIOD]
pleasant [IMPLY] fragile [PERIOD]
unpleasant [IMPLY] naughty [PERIOD]
beautiful [IMPLY] difficult [PERIOD]
adorable [AND] mean [IMPLY] alert [PERIOD]
alert [IMPLY] zealous [PERIOD]
weary [AND] mean [IMPLY] mysterious [PERIOD]
vivacious [AND] pleasant [IMPLY] famous [PERIOD]
serious [IMPLY] famous [PERIOD]
supportive [AND] stubborn [AND] famous [IMPLY] charming [PERIOD]
distinct [IMPLY] elegant [PERIOD]
weary [AND] uptight [IMPLY] talented [PERIOD]
fragile [AND] elegant [AND] unpleasant [IMPLY] charming [PERIOD]
stubborn [IMPLY] charming [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   difficult ⇒ unpleasant
   unpleasant ⇒ vivacious
   serious ∧ vivacious ⇒ mean
   mean ∧ serious ⇒ distinct
   Cannot apply rule “distinct ∧ uptight ⇒ tame” because missing: uptight.
   Cannot apply rule “uptight ⇒ tame” because missing: uptight.
   Cannot apply rule “weary ∧ grumpy ∧ adorable ⇒ tame” because missing: weary, grumpy, adorable.
",0,7
"Facts:  Alice is rude [PERIOD] Alice is worried [PERIOD]
Rules:
talented [IMPLY] ugliest [PERIOD]
straightforward [AND] intellectual [IMPLY] ugliest [PERIOD]
gorgeous [IMPLY] talkative [PERIOD]
straightforward [AND] careless [AND] bad-tempered [IMPLY] gorgeous [PERIOD]
ugliest [AND] different [IMPLY] talented [PERIOD]
bad-tempered [AND] worried [IMPLY] straightforward [PERIOD]
hypocritical [IMPLY] ugliest [PERIOD]
sensible [AND] silly [AND] gorgeous [IMPLY] careless [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “gorgeous ⇒ talkative” because missing: gorgeous.
",0,1
"Facts:  Alice is witty [PERIOD] Alice is bad-tempered [PERIOD] Alice is amused [PERIOD] Alice is plain [PERIOD] Alice is thoughtless [PERIOD] Alice is frantic [PERIOD] Alice is dull [PERIOD]
Rules:
frantic [AND] amused [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] witty [PERIOD]
long [AND] frantic [AND] homely [IMPLY] amused [PERIOD]
bad-tempered [IMPLY] frantic [PERIOD]
reserved [IMPLY] thoughtless [PERIOD]
homely [AND] plain [AND] crowded [IMPLY] reserved [PERIOD]
selfish [AND] homely [AND] reserved [IMPLY] amused [PERIOD]
long [AND] crowded [IMPLY] frantic [PERIOD]
plain [AND] homely [IMPLY] outrageous [PERIOD]
bad-tempered [AND] plain [AND] dull [IMPLY] thoughtless [PERIOD]
reserved [AND] homely [IMPLY] nervous [PERIOD]
dull [AND] thoughtless [AND] crowded [IMPLY] long [PERIOD]
selfish [AND] plain [AND] dull [IMPLY] outrageous [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is supportive [PERIOD] Alice is outrageous [PERIOD] Alice is cooperative [PERIOD] Alice is fragile [PERIOD] Alice is average [PERIOD] Alice is unpleasant [PERIOD] Alice is spotless [PERIOD] Alice is hilarious [PERIOD] Alice is impartial [PERIOD] Alice is naughty [PERIOD] Alice is gifted [PERIOD] Alice is selfish [PERIOD] Alice is hypocritical [PERIOD] Alice is sincere [PERIOD] Alice is broad-minded [PERIOD] Alice is confident [PERIOD] Alice is fancy [PERIOD] Alice is worried [PERIOD]
Rules:
worried [AND] supportive [AND] unpleasant [IMPLY] hilarious [PERIOD]
cooperative [AND] confident [AND] fragile [IMPLY] excited [PERIOD]
hilarious [AND] broad-minded [IMPLY] naughty [PERIOD]
spotless [IMPLY] fine [PERIOD]
confident [AND] outrageous [AND] supportive [IMPLY] fine [PERIOD]
fragile [AND] supportive [IMPLY] broad-minded [PERIOD]
excited [IMPLY] hypocritical [PERIOD]
outrageous [IMPLY] impartial [PERIOD]
reserved [AND] worried [AND] excited [IMPLY] average [PERIOD]
average [IMPLY] worried [PERIOD]
naughty [AND] sincere [AND] fine [IMPLY] supportive [PERIOD]
cooperative [AND] hilarious [IMPLY] nervous [PERIOD]
unpleasant [AND] supportive [IMPLY] selfish [PERIOD]
fancy [AND] hilarious [IMPLY] hypocritical [PERIOD]
nervous [IMPLY] average [PERIOD]
sincere [IMPLY] supportive [PERIOD]
sincere [AND] naughty [AND] cooperative [IMPLY] supportive [PERIOD]
hypocritical [AND] outrageous [AND] gifted [IMPLY] impartial [PERIOD]
worried [IMPLY] naughty [PERIOD]
gifted [AND] impartial [AND] worried [IMPLY] sincere [PERIOD]
unpleasant [AND] hypocritical [IMPLY] worried [PERIOD]
average [AND] supportive [IMPLY] reserved [PERIOD]
hypocritical [AND] nervous [AND] supportive [IMPLY] outrageous [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is famous [PERIOD] Alice is helpful [PERIOD]
Rules:
pleasant [AND] attractive [AND] hilarious [IMPLY] famous [PERIOD]
hilarious [AND] pleasant [IMPLY] attractive [PERIOD]
attractive [AND] mean [IMPLY] bossy [PERIOD]
pleasant [AND] hilarious [AND] mean [IMPLY] frail [PERIOD]
famous [IMPLY] frail [PERIOD]
famous [AND] helpful [IMPLY] mean [PERIOD]
famous [IMPLY] attractive [PERIOD]
frail [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] famous [PERIOD]
bossy [IMPLY] hilarious [PERIOD]
attractive [IMPLY] hilarious [PERIOD]
tidy [AND] pleasant [IMPLY] hilarious [PERIOD]
pleasant [AND] mean [AND] helpful [IMPLY] tidy [PERIOD]
tidy [AND] frail [AND] bossy [IMPLY] attractive [PERIOD]
attractive [AND] famous [AND] frail [IMPLY] bossy [PERIOD]
pleasant [AND] famous [IMPLY] bossy [PERIOD]
frail [AND] famous [AND] tidy [IMPLY] bossy [PERIOD]
bossy [IMPLY] mean [PERIOD]
famous [AND] tidy [AND] helpful [IMPLY] hilarious [PERIOD]
famous [IMPLY] hilarious [PERIOD]
attractive [IMPLY] helpful [PERIOD]
pleasant [AND] frail [IMPLY] helpful [PERIOD]
famous [AND] attractive [AND] bossy [IMPLY] pleasant [PERIOD]
helpful [AND] attractive [AND] tidy [IMPLY] hilarious [PERIOD]
famous [AND] bossy [IMPLY] attractive [PERIOD]
frail [AND] hilarious [IMPLY] mean [PERIOD]
pleasant [IMPLY] helpful [PERIOD]
bossy [AND] mean [IMPLY] helpful [PERIOD]
famous [AND] hilarious [AND] attractive [IMPLY] pleasant [PERIOD]
hilarious [AND] famous [IMPLY] frail [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   famous ⇒ frail
   frail ⇒ pleasant
   famous ∧ helpful ⇒ mean
   pleasant ∧ mean ∧ helpful ⇒ tidy
",1,4
"Facts:  Alice is joyous [PERIOD] Alice is troubled [PERIOD] Alice is lucky [PERIOD] Alice is excited [PERIOD] Alice is intellectual [PERIOD]
Rules:
plain [AND] easy [IMPLY] intellectual [PERIOD]
disobedient [AND] pessimistic [IMPLY] confident [PERIOD]
joyous [AND] plain [AND] calm [IMPLY] agreeable [PERIOD]
tidy [IMPLY] calm [PERIOD]
agreeable [AND] perfect [AND] confident [IMPLY] wrong [PERIOD]
intellectual [AND] amused [AND] naughty [IMPLY] easy [PERIOD]
excited [AND] pessimistic [AND] lucky [IMPLY] perfect [PERIOD]
witty [AND] light [IMPLY] charming [PERIOD]
agreeable [AND] pleasant [IMPLY] lucky [PERIOD]
plain [AND] agreeable [IMPLY] tired [PERIOD]
tidy [AND] disobedient [AND] amused [IMPLY] confident [PERIOD]
bossy [AND] agreeable [IMPLY] troubled [PERIOD]
joyous [AND] lucky [IMPLY] excited [PERIOD]
perfect [AND] condemned [AND] witty [IMPLY] naughty [PERIOD]
easy [AND] tired [IMPLY] disobedient [PERIOD]
disobedient [AND] naughty [IMPLY] light [PERIOD]
plain [AND] loving [IMPLY] troubled [PERIOD]
charming [AND] pleasant [AND] pessimistic [IMPLY] versatile [PERIOD]
naughty [AND] easy [IMPLY] versatile [PERIOD]
light [IMPLY] charming [PERIOD]
perfect [AND] easy [IMPLY] confident [PERIOD]
disobedient [AND] troubled [IMPLY] plain [PERIOD]
witty [AND] agreeable [AND] old-fashioned [IMPLY] plain [PERIOD]
versatile [AND] tidy [IMPLY] plain [PERIOD]
naughty [IMPLY] perfect [PERIOD]
lucky [AND] naughty [IMPLY] wrong [PERIOD]
versatile [AND] witty [IMPLY] disobedient [PERIOD]
light [IMPLY] lucky [PERIOD]
agreeable [AND] light [AND] joyous [IMPLY] disobedient [PERIOD]
pessimistic [AND] naughty [IMPLY] excited [PERIOD]
perfect [AND] pessimistic [IMPLY] weary [PERIOD]
pleasant [IMPLY] plain [PERIOD]
light [AND] condemned [IMPLY] amused [PERIOD]
plain [IMPLY] disobedient [PERIOD]
wrong [AND] pleasant [IMPLY] intellectual [PERIOD]
easy [AND] loving [AND] pessimistic [IMPLY] tidy [PERIOD]
easy [AND] witty [AND] loving [IMPLY] confident [PERIOD]
plain [AND] bossy [AND] pleasant [IMPLY] versatile [PERIOD]
calm [IMPLY] joyous [PERIOD]
tidy [AND] lucky [AND] pleasant [IMPLY] agreeable [PERIOD]
perfect [AND] naughty [AND] pleasant [IMPLY] tidy [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “excited ∧ pessimistic ∧ lucky ⇒ perfect” because missing: pessimistic.
   Cannot apply rule “naughty ⇒ perfect” because missing: naughty.
",0,2
"Facts: 
Rules:
combative [AND] busy [AND] dull [IMPLY] quaint [PERIOD]
careless [AND] busy [IMPLY] confused [PERIOD]
hypocritical [AND] worrisome [IMPLY] good [PERIOD]
worried [IMPLY] mean [PERIOD]
combative [AND] confused [IMPLY] thoughtless [PERIOD]
combative [IMPLY] talkative [PERIOD]
combative [AND] unpleasant [AND] easy [IMPLY] busy [PERIOD]
easy [IMPLY] modern [PERIOD]
helpless [AND] adorable [AND] worrisome [IMPLY] perfect [PERIOD]
confused [AND] tidy [IMPLY] modern [PERIOD]
easy [AND] perfect [AND] adorable [IMPLY] agreeable [PERIOD]
confused [AND] hypocritical [AND] combative [IMPLY] quaint [PERIOD]
tidy [AND] modern [AND] unpleasant [IMPLY] thoughtless [PERIOD]
helpless [IMPLY] loving [PERIOD]
busy [AND] dull [AND] careless [IMPLY] adorable [PERIOD]
hypocritical [AND] easy [AND] tidy [IMPLY] confused [PERIOD]
hypocritical [AND] worrisome [IMPLY] comfortable [PERIOD]
comfortable [AND] aggressive [IMPLY] mean [PERIOD]
perfect [AND] combative [AND] worried [IMPLY] worrisome [PERIOD]
easy [AND] unpleasant [AND] talented [IMPLY] perfect [PERIOD]
talented [AND] mean [IMPLY] worried [PERIOD]
busy [AND] talkative [AND] easy [IMPLY] worrisome [PERIOD]
modern [AND] worried [IMPLY] helpless [PERIOD]
easy [AND] worrisome [AND] dull [IMPLY] modern [PERIOD]
confused [AND] quaint [IMPLY] unpleasant [PERIOD]
careless [AND] thoughtless [IMPLY] helpless [PERIOD]
careless [AND] comfortable [IMPLY] worried [PERIOD]
tidy [AND] unpleasant [IMPLY] dull [PERIOD]
careless [IMPLY] combative [PERIOD]
adorable [AND] good [AND] worrisome [IMPLY] mean [PERIOD]
worrisome [AND] comfortable [AND] helpless [IMPLY] quaint [PERIOD]
talkative [IMPLY] modern [PERIOD]
helpless [AND] careless [AND] easy [IMPLY] aggressive [PERIOD]
easy [IMPLY] talkative [PERIOD]
quaint [AND] dull [AND] unpleasant [IMPLY] confused [PERIOD]
adorable [AND] hypocritical [AND] loving [IMPLY] busy [PERIOD]
confused [AND] unpleasant [IMPLY] combative [PERIOD]
perfect [AND] careless [AND] talented [IMPLY] worried [PERIOD]
worried [AND] hypocritical [IMPLY] quaint [PERIOD]
careless [AND] helpless [IMPLY] quaint [PERIOD]
agreeable [IMPLY] modern [PERIOD]
talented [IMPLY] perfect [PERIOD]
busy [AND] mean [AND] combative [IMPLY] worried [PERIOD]
perfect [IMPLY] combative [PERIOD]
perfect [AND] modern [AND] worrisome [IMPLY] good [PERIOD]
quaint [AND] talkative [AND] thoughtless [IMPLY] helpless [PERIOD]
helpless [IMPLY] careless [PERIOD]
thoughtless [AND] confused [IMPLY] careless [PERIOD]
modern [IMPLY] busy [PERIOD]
perfect [AND] good [IMPLY] easy [PERIOD]
perfect [IMPLY] mean [PERIOD]
comfortable [AND] loving [AND] dull [IMPLY] talented [PERIOD]
good [AND] tidy [AND] quaint [IMPLY] helpless [PERIOD]
dull [AND] worried [AND] talkative [IMPLY] good [PERIOD]
tidy [AND] careless [IMPLY] busy [PERIOD]
perfect [AND] thoughtless [IMPLY] careless [PERIOD]
hypocritical [AND] quaint [AND] adorable [IMPLY] tidy [PERIOD]
agreeable [AND] thoughtless [AND] easy [IMPLY] tidy [PERIOD]
agreeable [AND] thoughtless [AND] confused [IMPLY] aggressive [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “combative ∧ confused ⇒ thoughtless” because missing: combative, confused.
   Cannot apply rule “tidy ∧ modern ∧ unpleasant ⇒ thoughtless” because missing: tidy, modern, unpleasant.
",0,2
"Facts:  Alice is jittery [PERIOD] Alice is courageous [PERIOD] Alice is tidy [PERIOD] Alice is old-fashioned [PERIOD] Alice is victorious [PERIOD] Alice is embarrassed [PERIOD] Alice is tired [PERIOD] Alice is powerful [PERIOD] Alice is bad-tempered [PERIOD] Alice is modern [PERIOD] Alice is frightened [PERIOD] Alice is wrong [PERIOD]
Rules:
embarrassed [IMPLY] enchanting [PERIOD]
embarrassed [IMPLY] wandering [PERIOD]
wandering [AND] enchanting [IMPLY] bored [PERIOD]
foolish [AND] courageous [IMPLY] innocent [PERIOD]
jittery [AND] wrong [IMPLY] frightened [PERIOD]
courageous [IMPLY] jittery [PERIOD]
victorious [IMPLY] courageous [PERIOD]
embarrassed [AND] muddy [IMPLY] foolish [PERIOD]
bored [AND] tidy [AND] modern [IMPLY] innocent [PERIOD]
victorious [IMPLY] wandering [PERIOD]
jittery [AND] tired [IMPLY] modern [PERIOD]
confused [IMPLY] jittery [PERIOD]
enchanting [IMPLY] powerful [PERIOD]
bored [IMPLY] courageous [PERIOD]
fragile [AND] powerful [IMPLY] wrong [PERIOD]
dishonest [IMPLY] careless [PERIOD]
frightened [IMPLY] confused [PERIOD]
courageous [AND] confused [IMPLY] lucky [PERIOD]
tidy [AND] lucky [AND] tired [IMPLY] dishonest [PERIOD]
modern [AND] careless [IMPLY] wrong [PERIOD]
muddy [AND] innocent [IMPLY] enchanting [PERIOD]
bored [IMPLY] mean [PERIOD]
mean [AND] wandering [AND] innocent [IMPLY] bored [PERIOD]
careless [AND] dishonest [IMPLY] foolish [PERIOD]
mean [AND] jittery [AND] courageous [IMPLY] tidy [PERIOD]
powerful [IMPLY] muddy [PERIOD]
embarrassed [AND] careless [AND] fragile [IMPLY] modern [PERIOD]
tidy [IMPLY] confused [PERIOD]
tired [IMPLY] courageous [PERIOD]
Query: Alice is bored [PERIOD]","Proof chain:
   embarrassed ⇒ wandering
   embarrassed ⇒ enchanting
   wandering ∧ enchanting ⇒ bored
",1,3
"Facts: 
Rules:
gleaming [IMPLY] frail [PERIOD]
frantic [IMPLY] quaint [PERIOD]
gleaming [IMPLY] bad-tempered [PERIOD]
gleaming [IMPLY] attractive [PERIOD]
bad-tempered [AND] gleaming [AND] frail [IMPLY] frantic [PERIOD]
gleaming [AND] bad-tempered [AND] frantic [IMPLY] frail [PERIOD]
attractive [AND] bad-tempered [AND] frail [IMPLY] gleaming [PERIOD]
quaint [AND] frantic [IMPLY] bad-tempered [PERIOD]
attractive [AND] frail [AND] quaint [IMPLY] frantic [PERIOD]
bad-tempered [AND] attractive [AND] gleaming [IMPLY] quaint [PERIOD]
frantic [AND] attractive [AND] bad-tempered [IMPLY] quaint [PERIOD]
attractive [IMPLY] bad-tempered [PERIOD]
frantic [AND] gleaming [AND] frail [IMPLY] quaint [PERIOD]
gleaming [IMPLY] frantic [PERIOD]
gleaming [AND] quaint [IMPLY] attractive [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “bad-tempered ∧ gleaming ∧ frail ⇒ frantic” because missing: bad-tempered, gleaming, frail.
   Cannot apply rule “attractive ∧ frail ∧ quaint ⇒ frantic” because missing: attractive, frail, quaint.
   Cannot apply rule “gleaming ⇒ frantic” because missing: gleaming.
",0,3
"Facts:  Alice is gifted [PERIOD]
Rules:
lucky [IMPLY] stormy [PERIOD]
diplomatic [AND] good [AND] stormy [IMPLY] fragile [PERIOD]
careless [AND] stormy [AND] pleasant [IMPLY] tidy [PERIOD]
tidy [IMPLY] cute [PERIOD]
horrible [IMPLY] careless [PERIOD]
anxious [AND] cute [AND] helpless [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] mysterious [PERIOD]
lucky [AND] tidy [IMPLY] enchanting [PERIOD]
impartial [AND] gifted [AND] fancy [IMPLY] enchanting [PERIOD]
gifted [AND] precious [AND] fragile [IMPLY] outrageous [PERIOD]
scared [AND] sleepy [AND] enchanting [IMPLY] fancy [PERIOD]
fine [AND] diplomatic [AND] outrageous [IMPLY] careless [PERIOD]
diplomatic [AND] lucky [IMPLY] scared [PERIOD]
aggressive [AND] diplomatic [AND] horrible [IMPLY] anxious [PERIOD]
cute [IMPLY] sleepy [PERIOD]
careless [AND] aggressive [IMPLY] good [PERIOD]
anxious [IMPLY] horrible [PERIOD]
scared [AND] impartial [AND] stormy [IMPLY] precious [PERIOD]
horrible [AND] lucky [IMPLY] aggressive [PERIOD]
tense [AND] pleasant [AND] tidy [IMPLY] fine [PERIOD]
precious [AND] helpless [IMPLY] cute [PERIOD]
impartial [IMPLY] aggressive [PERIOD]
enchanting [AND] diplomatic [AND] gifted [IMPLY] sleepy [PERIOD]
gifted [AND] horrible [IMPLY] scared [PERIOD]
scared [AND] diplomatic [AND] mysterious [IMPLY] aggressive [PERIOD]
careless [AND] sleepy [IMPLY] aggressive [PERIOD]
fine [IMPLY] sleepy [PERIOD]
fine [IMPLY] fancy [PERIOD]
anxious [AND] mysterious [AND] sleepy [IMPLY] lucky [PERIOD]
tidy [IMPLY] good [PERIOD]
tense [IMPLY] careless [PERIOD]
scared [AND] fragile [AND] fancy [IMPLY] fine [PERIOD]
lucky [AND] outrageous [AND] fine [IMPLY] tidy [PERIOD]
outrageous [AND] good [AND] tidy [IMPLY] impartial [PERIOD]
diplomatic [AND] lucky [IMPLY] fine [PERIOD]
tense [AND] fancy [IMPLY] diplomatic [PERIOD]
fragile [IMPLY] anxious [PERIOD]
horrible [AND] stormy [IMPLY] scared [PERIOD]
pleasant [IMPLY] fine [PERIOD]
precious [IMPLY] impartial [PERIOD]
diplomatic [IMPLY] sleepy [PERIOD]
tidy [AND] scared [AND] tense [IMPLY] impartial [PERIOD]
careless [AND] fancy [AND] cute [IMPLY] helpless [PERIOD]
diplomatic [AND] outrageous [IMPLY] cute [PERIOD]
fine [AND] sleepy [AND] gifted [IMPLY] outrageous [PERIOD]
good [AND] stormy [AND] outrageous [IMPLY] fancy [PERIOD]
diplomatic [IMPLY] fine [PERIOD]
tense [AND] mysterious [IMPLY] precious [PERIOD]
stormy [AND] aggressive [AND] tense [IMPLY] gifted [PERIOD]
diplomatic [AND] fancy [IMPLY] precious [PERIOD]
diplomatic [AND] stormy [AND] mysterious [IMPLY] tense [PERIOD]
gifted [AND] mysterious [IMPLY] impartial [PERIOD]
precious [AND] scared [IMPLY] aggressive [PERIOD]
lucky [IMPLY] enchanting [PERIOD]
tense [IMPLY] impartial [PERIOD]
scared [AND] sleepy [IMPLY] impartial [PERIOD]
sleepy [AND] precious [AND] lucky [IMPLY] outrageous [PERIOD]
scared [IMPLY] enchanting [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   Cannot apply rule “outrageous ∧ good ∧ tidy ⇒ impartial” because missing: outrageous, good, tidy.
   Cannot apply rule “precious ⇒ impartial” because missing: precious.
   Cannot apply rule “tidy ∧ scared ∧ tense ⇒ impartial” because missing: tidy, scared, tense.
   Cannot apply rule “gifted ∧ mysterious ⇒ impartial” because missing: mysterious.
   Cannot apply rule “tense ⇒ impartial” because missing: tense.
   Cannot apply rule “scared ∧ sleepy ⇒ impartial” because missing: scared, sleepy.
",0,6
"Facts: 
Rules:
confused [AND] frail [AND] calm [IMPLY] pleasant [PERIOD]
adorable [AND] calm [IMPLY] confused [PERIOD]
frail [AND] calm [IMPLY] confused [PERIOD]
pleasant [AND] adorable [IMPLY] confused [PERIOD]
confused [AND] adorable [IMPLY] frail [PERIOD]
calm [AND] confused [IMPLY] frail [PERIOD]
pleasant [AND] adorable [AND] confused [IMPLY] calm [PERIOD]
adorable [AND] frail [IMPLY] pleasant [PERIOD]
adorable [AND] frail [AND] pleasant [IMPLY] calm [PERIOD]
pleasant [IMPLY] adorable [PERIOD]
calm [IMPLY] confused [PERIOD]
adorable [AND] calm [IMPLY] frail [PERIOD]
pleasant [AND] adorable [AND] calm [IMPLY] frail [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   Cannot apply rule “confused ∧ frail ∧ calm ⇒ pleasant” because missing: confused, frail, calm.
   Cannot apply rule “adorable ∧ frail ⇒ pleasant” because missing: adorable, frail.
",0,2
"Facts:  Alice is hilarious [PERIOD] Alice is selfish [PERIOD] Alice is grumpy [PERIOD] Alice is stubborn [PERIOD] Alice is troubled [PERIOD] Alice is fragile [PERIOD] Alice is helpful [PERIOD] Alice is reserved [PERIOD] Alice is enchanting [PERIOD] Alice is victorious [PERIOD] Alice is good [PERIOD] Alice is messy [PERIOD] Alice is combative [PERIOD] Alice is loving [PERIOD] Alice is unpleasant [PERIOD] Alice is bossy [PERIOD] Alice is curious [PERIOD] Alice is fearless [PERIOD] Alice is agreeable [PERIOD] Alice is ambitious [PERIOD]
Rules:
Query: Alice is enchanting [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is friendly [PERIOD] Alice is plain [PERIOD] Alice is grumpy [PERIOD] Alice is lucky [PERIOD] Alice is weary [PERIOD] Alice is talkative [PERIOD]
Rules:
weary [IMPLY] muddy [PERIOD]
friendly [AND] modern [IMPLY] smart [PERIOD]
rational [AND] bossy [AND] modern [IMPLY] weary [PERIOD]
friendly [AND] frightened [AND] rational [IMPLY] dull [PERIOD]
bossy [AND] lucky [AND] muddy [IMPLY] modern [PERIOD]
adorable [AND] smart [AND] frightened [IMPLY] friendly [PERIOD]
modern [IMPLY] rational [PERIOD]
friendly [IMPLY] talkative [PERIOD]
plain [AND] weary [AND] bossy [IMPLY] fearless [PERIOD]
dull [AND] frightened [AND] muddy [IMPLY] bossy [PERIOD]
modern [IMPLY] embarrassed [PERIOD]
smart [AND] dull [IMPLY] fearless [PERIOD]
muddy [IMPLY] talkative [PERIOD]
talkative [IMPLY] friendly [PERIOD]
smart [IMPLY] friendly [PERIOD]
frightened [AND] weary [IMPLY] muddy [PERIOD]
weary [AND] bossy [AND] adorable [IMPLY] smart [PERIOD]
fearless [AND] smart [IMPLY] dull [PERIOD]
rational [IMPLY] smart [PERIOD]
plain [AND] bossy [IMPLY] embarrassed [PERIOD]
friendly [AND] smart [AND] plain [IMPLY] jittery [PERIOD]
plain [AND] jittery [IMPLY] grumpy [PERIOD]
jittery [AND] bossy [IMPLY] dull [PERIOD]
rational [AND] friendly [AND] bossy [IMPLY] grumpy [PERIOD]
dull [IMPLY] fearless [PERIOD]
smart [IMPLY] modern [PERIOD]
friendly [AND] talkative [IMPLY] lucky [PERIOD]
weary [AND] rational [IMPLY] plain [PERIOD]
talkative [AND] bossy [AND] dull [IMPLY] friendly [PERIOD]
plain [AND] muddy [IMPLY] dull [PERIOD]
adorable [IMPLY] jittery [PERIOD]
embarrassed [IMPLY] grumpy [PERIOD]
muddy [AND] jittery [IMPLY] fearless [PERIOD]
embarrassed [IMPLY] adorable [PERIOD]
smart [AND] dull [AND] jittery [IMPLY] lucky [PERIOD]
modern [AND] grumpy [AND] fearless [IMPLY] friendly [PERIOD]
smart [IMPLY] adorable [PERIOD]
jittery [IMPLY] smart [PERIOD]
talkative [AND] grumpy [IMPLY] smart [PERIOD]
dull [AND] smart [AND] adorable [IMPLY] weary [PERIOD]
lucky [AND] smart [AND] plain [IMPLY] adorable [PERIOD]
smart [AND] dull [AND] grumpy [IMPLY] friendly [PERIOD]
plain [IMPLY] bossy [PERIOD]
jittery [IMPLY] frightened [PERIOD]
fearless [AND] friendly [IMPLY] frightened [PERIOD]
lucky [AND] muddy [AND] jittery [IMPLY] dull [PERIOD]
jittery [AND] plain [AND] rational [IMPLY] grumpy [PERIOD]
smart [AND] friendly [AND] modern [IMPLY] embarrassed [PERIOD]
talkative [AND] lucky [AND] embarrassed [IMPLY] smart [PERIOD]
dull [AND] rational [AND] modern [IMPLY] smart [PERIOD]
frightened [AND] modern [IMPLY] jittery [PERIOD]
smart [AND] dull [IMPLY] rational [PERIOD]
rational [AND] modern [AND] grumpy [IMPLY] adorable [PERIOD]
bossy [IMPLY] weary [PERIOD]
smart [AND] frightened [IMPLY] adorable [PERIOD]
muddy [AND] rational [AND] fearless [IMPLY] modern [PERIOD]
jittery [AND] friendly [AND] smart [IMPLY] muddy [PERIOD]
adorable [AND] jittery [IMPLY] fearless [PERIOD]
adorable [AND] frightened [AND] dull [IMPLY] weary [PERIOD]
bossy [IMPLY] adorable [PERIOD]
friendly [AND] smart [AND] rational [IMPLY] adorable [PERIOD]
smart [AND] lucky [AND] bossy [IMPLY] rational [PERIOD]
frightened [AND] smart [AND] fearless [IMPLY] modern [PERIOD]
jittery [AND] friendly [AND] grumpy [IMPLY] talkative [PERIOD]
friendly [IMPLY] frightened [PERIOD]
plain [AND] weary [AND] smart [IMPLY] talkative [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is elegant [PERIOD] Alice is broad-minded [PERIOD] Alice is stupid [PERIOD]
Rules:
shy [AND] witty [IMPLY] ugliest [PERIOD]
elegant [IMPLY] outrageous [PERIOD]
quaint [AND] clumsy [AND] stupid [IMPLY] helpful [PERIOD]
charming [AND] ugliest [AND] frantic [IMPLY] outrageous [PERIOD]
wide-eyed [IMPLY] elegant [PERIOD]
charming [AND] shy [IMPLY] dishonest [PERIOD]
shy [AND] witty [IMPLY] different [PERIOD]
quaint [IMPLY] stupid [PERIOD]
wide-eyed [IMPLY] outstanding [PERIOD]
wide-eyed [AND] talkative [AND] outrageous [IMPLY] dishonest [PERIOD]
outstanding [AND] shy [AND] disgusted [IMPLY] confident [PERIOD]
elegant [IMPLY] quaint [PERIOD]
stupid [AND] shy [IMPLY] dishonest [PERIOD]
outrageous [AND] frantic [IMPLY] shy [PERIOD]
clumsy [AND] shy [IMPLY] gifted [PERIOD]
comfortable [AND] frantic [IMPLY] helpful [PERIOD]
different [IMPLY] confident [PERIOD]
outstanding [IMPLY] confident [PERIOD]
outstanding [AND] outrageous [IMPLY] dishonest [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   No rule concludes “frantic.”
",0,1
"Facts:  Alice is shy [PERIOD] Alice is bad-tempered [PERIOD] Alice is shiny [PERIOD] Alice is inexpensive [PERIOD] Alice is difficult [PERIOD] Alice is precious [PERIOD]
Rules:
ugliest [AND] tired [AND] wandering [IMPLY] cooperative [PERIOD]
shiny [AND] precious [AND] straightforward [IMPLY] proud [PERIOD]
straightforward [AND] dull [AND] popular [IMPLY] grumpy [PERIOD]
wandering [AND] bad-tempered [AND] shy [IMPLY] mean [PERIOD]
calm [AND] bright [AND] ugliest [IMPLY] inexpensive [PERIOD]
difficult [IMPLY] wandering [PERIOD]
wandering [AND] cute [AND] serious [IMPLY] fine [PERIOD]
mean [AND] inexpensive [IMPLY] scared [PERIOD]
zealous [AND] fine [IMPLY] tired [PERIOD]
bad-tempered [AND] bright [IMPLY] shiny [PERIOD]
bright [AND] proud [IMPLY] famous [PERIOD]
shy [AND] ugliest [IMPLY] grumpy [PERIOD]
cooperative [AND] inexpensive [AND] gleaming [IMPLY] precious [PERIOD]
bright [AND] wandering [IMPLY] fancy [PERIOD]
tired [AND] scared [IMPLY] powerful [PERIOD]
grumpy [AND] mean [IMPLY] dull [PERIOD]
calm [AND] grumpy [AND] mean [IMPLY] dull [PERIOD]
popular [AND] mean [IMPLY] shy [PERIOD]
dull [IMPLY] powerful [PERIOD]
grumpy [AND] proud [AND] scared [IMPLY] serious [PERIOD]
calm [IMPLY] shiny [PERIOD]
powerful [AND] shiny [AND] bright [IMPLY] gleaming [PERIOD]
shiny [AND] ugliest [AND] fine [IMPLY] fancy [PERIOD]
versatile [AND] friendly [IMPLY] fancy [PERIOD]
shiny [AND] fine [AND] dull [IMPLY] difficult [PERIOD]
wandering [AND] versatile [AND] gleaming [IMPLY] mean [PERIOD]
popular [AND] wandering [AND] cruel [IMPLY] cute [PERIOD]
inexpensive [AND] friendly [AND] bright [IMPLY] serious [PERIOD]
shiny [AND] calm [IMPLY] friendly [PERIOD]
shiny [AND] fancy [IMPLY] dull [PERIOD]
versatile [AND] bright [AND] cruel [IMPLY] shy [PERIOD]
ugliest [AND] calm [AND] cooperative [IMPLY] inexpensive [PERIOD]
tired [AND] fine [IMPLY] proud [PERIOD]
shy [AND] zealous [IMPLY] grumpy [PERIOD]
scared [AND] powerful [IMPLY] difficult [PERIOD]
proud [AND] scared [AND] friendly [IMPLY] popular [PERIOD]
proud [AND] grumpy [IMPLY] mean [PERIOD]
bright [AND] wandering [AND] straightforward [IMPLY] grumpy [PERIOD]
straightforward [AND] inexpensive [IMPLY] serious [PERIOD]
friendly [IMPLY] grumpy [PERIOD]
calm [IMPLY] precious [PERIOD]
calm [AND] shiny [AND] friendly [IMPLY] dull [PERIOD]
difficult [AND] tired [IMPLY] zealous [PERIOD]
zealous [IMPLY] scared [PERIOD]
scared [AND] shy [IMPLY] tired [PERIOD]
famous [IMPLY] bright [PERIOD]
straightforward [IMPLY] wandering [PERIOD]
friendly [AND] gleaming [AND] tired [IMPLY] famous [PERIOD]
cooperative [AND] famous [AND] powerful [IMPLY] versatile [PERIOD]
cute [AND] mean [AND] difficult [IMPLY] dull [PERIOD]
difficult [AND] friendly [AND] famous [IMPLY] mean [PERIOD]
gleaming [AND] cooperative [IMPLY] wandering [PERIOD]
shy [AND] precious [IMPLY] serious [PERIOD]
straightforward [IMPLY] difficult [PERIOD]
mean [IMPLY] dull [PERIOD]
bright [AND] cute [AND] calm [IMPLY] gleaming [PERIOD]
Query: Alice is gleaming [PERIOD]","Proof chain:
   difficult ⇒ wandering
   wandering ∧ bad-tempered ∧ shy ⇒ mean
   mean ⇒ dull
   dull ⇒ powerful
   Cannot apply rule “powerful ∧ shiny ∧ bright ⇒ gleaming” because missing: bright.
   Cannot apply rule “bright ∧ cute ∧ calm ⇒ gleaming” because missing: bright, cute, calm.
",0,6
"Facts:  Alice is scared [PERIOD] Alice is attractive [PERIOD] Alice is famous [PERIOD] Alice is silly [PERIOD]
Rules:
scared [AND] pessimistic [AND] stupid [IMPLY] gleaming [PERIOD]
clean [AND] scared [IMPLY] pleasant [PERIOD]
clean [IMPLY] blushing [PERIOD]
gorgeous [AND] attractive [AND] sincere [IMPLY] stubborn [PERIOD]
pessimistic [AND] vivacious [AND] busy [IMPLY] stubborn [PERIOD]
famous [AND] ambitious [IMPLY] scared [PERIOD]
scared [AND] pleasant [IMPLY] disobedient [PERIOD]
gleaming [AND] clean [IMPLY] gorgeous [PERIOD]
frail [AND] condemned [AND] wrong [IMPLY] scared [PERIOD]
scared [AND] old-fashioned [IMPLY] wrong [PERIOD]
frail [AND] ambitious [AND] excited [IMPLY] pessimistic [PERIOD]
pleasant [IMPLY] sincere [PERIOD]
famous [IMPLY] disobedient [PERIOD]
condemned [IMPLY] blushing [PERIOD]
stubborn [IMPLY] old-fashioned [PERIOD]
scared [IMPLY] pleasant [PERIOD]
busy [AND] comfortable [IMPLY] famous [PERIOD]
silly [AND] frail [AND] famous [IMPLY] stupid [PERIOD]
condemned [AND] silly [IMPLY] attractive [PERIOD]
old-fashioned [IMPLY] condemned [PERIOD]
blushing [AND] stupid [IMPLY] courageous [PERIOD]
wrong [AND] condemned [IMPLY] famous [PERIOD]
cooperative [IMPLY] sincere [PERIOD]
old-fashioned [AND] frail [AND] bored [IMPLY] vivacious [PERIOD]
stubborn [IMPLY] disobedient [PERIOD]
attractive [AND] vivacious [IMPLY] excited [PERIOD]
vivacious [AND] wrong [AND] excited [IMPLY] stupid [PERIOD]
courageous [AND] cooperative [IMPLY] disobedient [PERIOD]
excited [IMPLY] blushing [PERIOD]
blushing [AND] scared [IMPLY] bored [PERIOD]
old-fashioned [AND] vivacious [IMPLY] condemned [PERIOD]
pessimistic [AND] attractive [AND] bored [IMPLY] stupid [PERIOD]
scared [AND] cooperative [IMPLY] blushing [PERIOD]
gorgeous [AND] comfortable [AND] stupid [IMPLY] pessimistic [PERIOD]
condemned [IMPLY] frail [PERIOD]
bored [IMPLY] gorgeous [PERIOD]
old-fashioned [AND] pleasant [AND] famous [IMPLY] courageous [PERIOD]
stubborn [AND] gleaming [IMPLY] attractive [PERIOD]
frail [AND] gorgeous [IMPLY] stupid [PERIOD]
old-fashioned [AND] clean [AND] bored [IMPLY] ambitious [PERIOD]
wrong [AND] condemned [AND] stubborn [IMPLY] silly [PERIOD]
bored [AND] vivacious [IMPLY] gorgeous [PERIOD]
stupid [IMPLY] blushing [PERIOD]
courageous [AND] excited [IMPLY] gleaming [PERIOD]
old-fashioned [IMPLY] wrong [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   Cannot apply rule “silly ∧ frail ∧ famous ⇒ stupid” because missing: frail.
   Cannot apply rule “vivacious ∧ wrong ∧ excited ⇒ stupid” because missing: vivacious, wrong, excited.
   Cannot apply rule “pessimistic ∧ attractive ∧ bored ⇒ stupid” because missing: pessimistic, bored.
   Cannot apply rule “frail ∧ gorgeous ⇒ stupid” because missing: frail, gorgeous.
",0,4
"Facts:  Alice is amused [PERIOD] Alice is naughty [PERIOD] Alice is tame [PERIOD] Alice is quaint [PERIOD] Alice is elegant [PERIOD] Alice is stubborn [PERIOD]
Rules:
straightforward [IMPLY] wandering [PERIOD]
ugliest [AND] mean [IMPLY] wandering [PERIOD]
tame [AND] impartial [IMPLY] amused [PERIOD]
wandering [AND] impartial [AND] nervous [IMPLY] attractive [PERIOD]
naughty [IMPLY] friendly [PERIOD]
tame [AND] wandering [AND] victorious [IMPLY] amused [PERIOD]
straightforward [AND] agreeable [IMPLY] attractive [PERIOD]
mean [AND] silly [AND] impartial [IMPLY] smart [PERIOD]
smart [AND] elegant [IMPLY] friendly [PERIOD]
attractive [AND] elegant [IMPLY] stormy [PERIOD]
sleepy [IMPLY] disgusted [PERIOD]
straightforward [IMPLY] quaint [PERIOD]
stormy [AND] ugliest [IMPLY] attractive [PERIOD]
stubborn [AND] tame [IMPLY] ugliest [PERIOD]
stormy [AND] impartial [AND] shiny [IMPLY] elegant [PERIOD]
mean [AND] impartial [AND] victorious [IMPLY] wandering [PERIOD]
tame [IMPLY] quaint [PERIOD]
impartial [AND] smart [IMPLY] amused [PERIOD]
stubborn [AND] nervous [AND] silly [IMPLY] disgusted [PERIOD]
impartial [AND] victorious [IMPLY] quaint [PERIOD]
tame [IMPLY] straightforward [PERIOD]
stormy [AND] quaint [AND] tame [IMPLY] silly [PERIOD]
quaint [IMPLY] naughty [PERIOD]
straightforward [AND] smart [IMPLY] victorious [PERIOD]
silly [AND] disgusted [AND] victorious [IMPLY] naughty [PERIOD]
ugliest [AND] stormy [IMPLY] amused [PERIOD]
naughty [AND] tame [AND] attractive [IMPLY] quaint [PERIOD]
ugliest [AND] sleepy [IMPLY] victorious [PERIOD]
straightforward [AND] impartial [IMPLY] quaint [PERIOD]
stormy [IMPLY] mean [PERIOD]
naughty [IMPLY] sleepy [PERIOD]
wandering [AND] friendly [AND] amused [IMPLY] elegant [PERIOD]
tame [IMPLY] nervous [PERIOD]
victorious [AND] naughty [IMPLY] agreeable [PERIOD]
tame [IMPLY] elegant [PERIOD]
attractive [IMPLY] silly [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   tame ⇒ straightforward
   stubborn ∧ tame ⇒ ugliest
   naughty ⇒ sleepy
   ugliest ∧ sleepy ⇒ victorious
   victorious ∧ naughty ⇒ agreeable
   straightforward ∧ agreeable ⇒ attractive
   attractive ⇒ silly
",1,7
"Facts:  Alice is muddy [PERIOD] Alice is helpful [PERIOD] Alice is glamorous [PERIOD] Alice is precious [PERIOD] Alice is thoughtless [PERIOD] Alice is famous [PERIOD]
Rules:
intellectual [AND] glamorous [IMPLY] helpful [PERIOD]
muddy [AND] glamorous [IMPLY] thoughtless [PERIOD]
precious [AND] attractive [IMPLY] intellectual [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   Cannot apply rule “precious ∧ attractive ⇒ intellectual” because missing: attractive.
",0,1
"Facts:  Alice is difficult [PERIOD] Alice is distinct [PERIOD] Alice is inquisitive [PERIOD] Alice is tired [PERIOD] Alice is attentive [PERIOD] Alice is weary [PERIOD]
Rules:
calm [AND] pessimistic [IMPLY] worrisome [PERIOD]
inquisitive [IMPLY] distinct [PERIOD]
victorious [AND] busy [AND] distinct [IMPLY] tired [PERIOD]
calm [AND] beautiful [AND] modern [IMPLY] fearless [PERIOD]
weary [AND] inquisitive [IMPLY] average [PERIOD]
inquisitive [AND] homely [IMPLY] difficult [PERIOD]
dull [IMPLY] worrisome [PERIOD]
charming [IMPLY] victorious [PERIOD]
clean [IMPLY] beautiful [PERIOD]
victorious [AND] ugliest [IMPLY] foolish [PERIOD]
homely [AND] calm [IMPLY] ugliest [PERIOD]
calm [AND] homely [AND] weary [IMPLY] worrisome [PERIOD]
fearless [AND] ugliest [IMPLY] dull [PERIOD]
good [AND] distinct [IMPLY] clean [PERIOD]
witty [AND] charming [IMPLY] modern [PERIOD]
sincere [AND] good [AND] charming [IMPLY] pessimistic [PERIOD]
ugliest [AND] sincere [AND] modern [IMPLY] difficult [PERIOD]
weary [IMPLY] sincere [PERIOD]
distinct [IMPLY] pessimistic [PERIOD]
witty [AND] attentive [IMPLY] difficult [PERIOD]
average [AND] inquisitive [AND] busy [IMPLY] homely [PERIOD]
good [AND] foolish [AND] distinct [IMPLY] helpful [PERIOD]
pessimistic [AND] busy [IMPLY] helpful [PERIOD]
charming [AND] busy [IMPLY] worrisome [PERIOD]
average [AND] pessimistic [IMPLY] calm [PERIOD]
clean [IMPLY] pessimistic [PERIOD]
beautiful [IMPLY] witty [PERIOD]
clean [AND] tired [AND] busy [IMPLY] modern [PERIOD]
pessimistic [AND] inquisitive [IMPLY] clean [PERIOD]
foolish [AND] distinct [IMPLY] modern [PERIOD]
beautiful [IMPLY] charming [PERIOD]
good [IMPLY] witty [PERIOD]
difficult [AND] modern [IMPLY] victorious [PERIOD]
tired [AND] clean [AND] sincere [IMPLY] calm [PERIOD]
charming [AND] sincere [IMPLY] foolish [PERIOD]
pessimistic [AND] good [IMPLY] busy [PERIOD]
clean [AND] modern [IMPLY] inquisitive [PERIOD]
pessimistic [IMPLY] busy [PERIOD]
helpful [AND] calm [AND] weary [IMPLY] victorious [PERIOD]
victorious [IMPLY] tired [PERIOD]
dull [IMPLY] beautiful [PERIOD]
tired [IMPLY] worrisome [PERIOD]
distinct [AND] modern [IMPLY] ugliest [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   distinct ⇒ pessimistic
   pessimistic ∧ inquisitive ⇒ clean
   clean ⇒ beautiful
   beautiful ⇒ charming
   weary ⇒ sincere
   charming ∧ sincere ⇒ foolish
",1,6
"Facts:  Alice is tired [PERIOD] Alice is messy [PERIOD]
Rules:
sensible [IMPLY] tired [PERIOD]
reserved [AND] rational [IMPLY] hilarious [PERIOD]
plain [AND] inexpensive [AND] stormy [IMPLY] tired [PERIOD]
tired [AND] confused [IMPLY] messy [PERIOD]
amused [AND] sensible [IMPLY] innocent [PERIOD]
confused [AND] inexpensive [IMPLY] rational [PERIOD]
plain [AND] reserved [AND] tired [IMPLY] sensible [PERIOD]
rational [IMPLY] quaint [PERIOD]
hilarious [AND] amused [AND] stormy [IMPLY] good [PERIOD]
gorgeous [IMPLY] inexpensive [PERIOD]
amused [IMPLY] reserved [PERIOD]
confused [AND] quaint [AND] mean [IMPLY] sensible [PERIOD]
hilarious [AND] innocent [IMPLY] tired [PERIOD]
plain [AND] rational [AND] good [IMPLY] confused [PERIOD]
mean [IMPLY] good [PERIOD]
tired [IMPLY] messy [PERIOD]
good [AND] confused [AND] inexpensive [IMPLY] quaint [PERIOD]
inexpensive [AND] innocent [IMPLY] confused [PERIOD]
messy [AND] sensible [IMPLY] tired [PERIOD]
reserved [AND] messy [IMPLY] good [PERIOD]
quaint [IMPLY] reserved [PERIOD]
shy [IMPLY] hilarious [PERIOD]
good [AND] messy [IMPLY] shy [PERIOD]
quaint [AND] tired [IMPLY] mean [PERIOD]
amused [IMPLY] confused [PERIOD]
messy [IMPLY] plain [PERIOD]
rational [IMPLY] shy [PERIOD]
rational [AND] shy [IMPLY] good [PERIOD]
confused [IMPLY] stormy [PERIOD]
hilarious [AND] stormy [AND] quaint [IMPLY] inexpensive [PERIOD]
plain [IMPLY] sensible [PERIOD]
inexpensive [AND] innocent [AND] messy [IMPLY] hilarious [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   Cannot apply rule “reserved ∧ rational ⇒ hilarious” because missing: reserved, rational.
   Cannot apply rule “shy ⇒ hilarious” because missing: shy.
   Cannot apply rule “inexpensive ∧ innocent ∧ messy ⇒ hilarious” because missing: inexpensive, innocent.
",0,3
"Facts:  Alice is aggressive [PERIOD] Alice is strange [PERIOD]
Rules:
agreeable [AND] talented [IMPLY] comfortable [PERIOD]
modern [AND] courageous [AND] agreeable [IMPLY] homely [PERIOD]
talented [AND] serious [AND] clumsy [IMPLY] courageous [PERIOD]
versatile [AND] gleaming [AND] loving [IMPLY] elegant [PERIOD]
agreeable [AND] lucky [IMPLY] light [PERIOD]
witty [AND] combative [AND] fragile [IMPLY] attractive [PERIOD]
witty [AND] uptight [AND] modern [IMPLY] charming [PERIOD]
combative [AND] impatient [IMPLY] agreeable [PERIOD]
versatile [AND] uptight [AND] lucky [IMPLY] agreeable [PERIOD]
homely [AND] impatient [IMPLY] witty [PERIOD]
versatile [AND] agreeable [AND] uptight [IMPLY] impatient [PERIOD]
bossy [IMPLY] fragile [PERIOD]
gleaming [IMPLY] tired [PERIOD]
lucky [AND] modern [IMPLY] tired [PERIOD]
elegant [AND] gleaming [IMPLY] modern [PERIOD]
attractive [IMPLY] bossy [PERIOD]
enchanting [AND] agreeable [IMPLY] witty [PERIOD]
strange [IMPLY] enchanting [PERIOD]
serious [IMPLY] modern [PERIOD]
bossy [AND] clumsy [AND] combative [IMPLY] aggressive [PERIOD]
clumsy [AND] homely [AND] gleaming [IMPLY] precious [PERIOD]
witty [AND] loving [IMPLY] uptight [PERIOD]
comfortable [IMPLY] uptight [PERIOD]
pessimistic [AND] lucky [AND] comfortable [IMPLY] tired [PERIOD]
modern [AND] attractive [AND] comfortable [IMPLY] agreeable [PERIOD]
attentive [AND] serious [IMPLY] bossy [PERIOD]
pessimistic [IMPLY] elegant [PERIOD]
comfortable [IMPLY] agreeable [PERIOD]
witty [IMPLY] combative [PERIOD]
comfortable [IMPLY] tired [PERIOD]
attentive [AND] fragile [IMPLY] talented [PERIOD]
witty [IMPLY] difficult [PERIOD]
homely [AND] enchanting [AND] serious [IMPLY] pessimistic [PERIOD]
modern [AND] fragile [AND] serious [IMPLY] uptight [PERIOD]
serious [AND] fragile [AND] aggressive [IMPLY] pessimistic [PERIOD]
enchanting [AND] attentive [IMPLY] tired [PERIOD]
enchanting [IMPLY] versatile [PERIOD]
bossy [AND] enchanting [AND] gleaming [IMPLY] loving [PERIOD]
attentive [AND] pessimistic [IMPLY] bossy [PERIOD]
witty [IMPLY] enchanting [PERIOD]
combative [IMPLY] versatile [PERIOD]
lucky [IMPLY] enchanting [PERIOD]
lucky [IMPLY] light [PERIOD]
gleaming [AND] strange [AND] light [IMPLY] impatient [PERIOD]
serious [AND] agreeable [AND] pessimistic [IMPLY] charming [PERIOD]
pessimistic [AND] talented [AND] attractive [IMPLY] attentive [PERIOD]
talented [IMPLY] impatient [PERIOD]
light [AND] homely [AND] clumsy [IMPLY] uptight [PERIOD]
charming [AND] light [IMPLY] fragile [PERIOD]
fragile [AND] clumsy [IMPLY] courageous [PERIOD]
strange [AND] versatile [AND] lucky [IMPLY] combative [PERIOD]
tired [AND] charming [AND] talented [IMPLY] light [PERIOD]
attractive [AND] clumsy [IMPLY] strange [PERIOD]
gleaming [AND] lucky [IMPLY] agreeable [PERIOD]
comfortable [IMPLY] lucky [PERIOD]
serious [IMPLY] versatile [PERIOD]
fragile [AND] aggressive [IMPLY] bossy [PERIOD]
clumsy [IMPLY] aggressive [PERIOD]
gleaming [IMPLY] impatient [PERIOD]
combative [IMPLY] talented [PERIOD]
gleaming [AND] strange [AND] versatile [IMPLY] difficult [PERIOD]
attentive [AND] modern [AND] attractive [IMPLY] comfortable [PERIOD]
courageous [AND] witty [IMPLY] charming [PERIOD]
difficult [AND] attractive [AND] fragile [IMPLY] courageous [PERIOD]
enchanting [AND] tired [AND] pessimistic [IMPLY] difficult [PERIOD]
difficult [IMPLY] talented [PERIOD]
clumsy [AND] agreeable [AND] enchanting [IMPLY] loving [PERIOD]
homely [IMPLY] aggressive [PERIOD]
tired [AND] difficult [IMPLY] modern [PERIOD]
elegant [AND] attentive [IMPLY] courageous [PERIOD]
fragile [IMPLY] versatile [PERIOD]
gleaming [AND] talented [IMPLY] fragile [PERIOD]
pessimistic [AND] impatient [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] courageous [PERIOD]
charming [AND] attractive [AND] comfortable [IMPLY] serious [PERIOD]
tired [IMPLY] gleaming [PERIOD]
combative [IMPLY] witty [PERIOD]
elegant [IMPLY] impatient [PERIOD]
precious [IMPLY] bossy [PERIOD]
impatient [IMPLY] tired [PERIOD]
tired [AND] aggressive [AND] gleaming [IMPLY] comfortable [PERIOD]
attractive [AND] versatile [AND] difficult [IMPLY] homely [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   strange ⇒ enchanting
   enchanting ⇒ versatile
   Cannot apply rule “versatile ∧ agreeable ∧ uptight ⇒ impatient” because missing: agreeable, uptight.
   Cannot apply rule “gleaming ∧ strange ∧ light ⇒ impatient” because missing: gleaming, light.
   Cannot apply rule “talented ⇒ impatient” because missing: talented.
   Cannot apply rule “gleaming ⇒ impatient” because missing: gleaming.
   Cannot apply rule “elegant ⇒ impatient” because missing: elegant.
",0,7
"Facts:  Alice is distinct [PERIOD]
Rules:
rude [AND] quaint [IMPLY] versatile [PERIOD]
scared [IMPLY] versatile [PERIOD]
versatile [AND] rude [AND] quaint [IMPLY] blushing [PERIOD]
frightened [IMPLY] scared [PERIOD]
scared [AND] distinct [IMPLY] sincere [PERIOD]
frightened [AND] sincere [IMPLY] quaint [PERIOD]
quaint [AND] sincere [IMPLY] distinct [PERIOD]
blushing [AND] rude [AND] scared [IMPLY] precious [PERIOD]
sincere [IMPLY] blushing [PERIOD]
scared [AND] frightened [IMPLY] sincere [PERIOD]
versatile [AND] sincere [AND] rude [IMPLY] distinct [PERIOD]
blushing [AND] frightened [IMPLY] distinct [PERIOD]
sincere [AND] versatile [AND] rude [IMPLY] precious [PERIOD]
quaint [AND] versatile [IMPLY] rude [PERIOD]
versatile [AND] distinct [AND] scared [IMPLY] quaint [PERIOD]
distinct [AND] versatile [AND] scared [IMPLY] blushing [PERIOD]
quaint [AND] blushing [IMPLY] frightened [PERIOD]
scared [AND] frightened [AND] precious [IMPLY] versatile [PERIOD]
quaint [IMPLY] versatile [PERIOD]
quaint [AND] precious [AND] scared [IMPLY] rude [PERIOD]
quaint [AND] blushing [IMPLY] scared [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
   Cannot apply rule “frightened ⇒ scared” because missing: frightened.
   Cannot apply rule “quaint ∧ blushing ⇒ scared” because missing: quaint, blushing.
",0,2
"Facts:  Alice is adorable [PERIOD] Alice is curious [PERIOD]
Rules:
attentive [AND] beautiful [AND] frightened [IMPLY] tense [PERIOD]
frightened [IMPLY] careless [PERIOD]
precious [AND] tense [IMPLY] enchanting [PERIOD]
precious [AND] tense [AND] wide-eyed [IMPLY] adorable [PERIOD]
old-fashioned [AND] curious [IMPLY] attentive [PERIOD]
pessimistic [AND] dishonest [AND] enchanting [IMPLY] beautiful [PERIOD]
rude [IMPLY] pessimistic [PERIOD]
outrageous [IMPLY] adorable [PERIOD]
attentive [AND] worried [IMPLY] elegant [PERIOD]
rude [AND] worried [IMPLY] precious [PERIOD]
elegant [AND] curious [IMPLY] outrageous [PERIOD]
attentive [AND] wide-eyed [IMPLY] impatient [PERIOD]
impatient [AND] outrageous [AND] precious [IMPLY] tense [PERIOD]
wide-eyed [AND] attentive [IMPLY] wandering [PERIOD]
dishonest [AND] clumsy [IMPLY] pessimistic [PERIOD]
different [AND] enchanting [AND] rude [IMPLY] attentive [PERIOD]
attentive [AND] beautiful [IMPLY] enchanting [PERIOD]
clumsy [AND] curious [IMPLY] light [PERIOD]
inquisitive [AND] light [AND] clumsy [IMPLY] wandering [PERIOD]
outrageous [AND] frightened [IMPLY] adorable [PERIOD]
curious [AND] perfect [IMPLY] light [PERIOD]
impatient [IMPLY] rude [PERIOD]
pessimistic [AND] curious [AND] inquisitive [IMPLY] rude [PERIOD]
different [AND] light [AND] pessimistic [IMPLY] wide-eyed [PERIOD]
precious [AND] light [IMPLY] perfect [PERIOD]
frightened [AND] old-fashioned [AND] attentive [IMPLY] wandering [PERIOD]
pessimistic [AND] frightened [IMPLY] different [PERIOD]
beautiful [AND] precious [AND] worried [IMPLY] dishonest [PERIOD]
clumsy [IMPLY] tense [PERIOD]
light [AND] outrageous [IMPLY] curious [PERIOD]
outrageous [AND] pessimistic [IMPLY] beautiful [PERIOD]
perfect [AND] beautiful [IMPLY] wide-eyed [PERIOD]
precious [AND] different [IMPLY] light [PERIOD]
dishonest [IMPLY] frightened [PERIOD]
beautiful [AND] adorable [AND] rude [IMPLY] inquisitive [PERIOD]
enchanting [AND] outrageous [IMPLY] attentive [PERIOD]
inquisitive [IMPLY] adorable [PERIOD]
outrageous [AND] rude [AND] perfect [IMPLY] adorable [PERIOD]
clumsy [AND] adorable [AND] enchanting [IMPLY] careless [PERIOD]
wide-eyed [AND] curious [IMPLY] old-fashioned [PERIOD]
attentive [IMPLY] careless [PERIOD]
tense [IMPLY] elegant [PERIOD]
frightened [AND] impatient [AND] curious [IMPLY] outrageous [PERIOD]
worried [AND] wandering [AND] wide-eyed [IMPLY] frightened [PERIOD]
inquisitive [AND] adorable [AND] frightened [IMPLY] wandering [PERIOD]
dishonest [IMPLY] impatient [PERIOD]
rude [IMPLY] old-fashioned [PERIOD]
beautiful [AND] outrageous [IMPLY] clumsy [PERIOD]
elegant [IMPLY] rude [PERIOD]
wandering [IMPLY] inquisitive [PERIOD]
dishonest [AND] beautiful [AND] careless [IMPLY] tense [PERIOD]
rude [AND] frightened [AND] wandering [IMPLY] outrageous [PERIOD]
inquisitive [IMPLY] careless [PERIOD]
wandering [AND] dishonest [IMPLY] beautiful [PERIOD]
careless [IMPLY] adorable [PERIOD]
enchanting [AND] careless [AND] different [IMPLY] attentive [PERIOD]
enchanting [AND] dishonest [AND] rude [IMPLY] frightened [PERIOD]
light [AND] elegant [AND] worried [IMPLY] rude [PERIOD]
precious [AND] tense [AND] careless [IMPLY] wide-eyed [PERIOD]
tense [AND] different [IMPLY] inquisitive [PERIOD]
elegant [IMPLY] dishonest [PERIOD]
tense [IMPLY] wandering [PERIOD]
enchanting [IMPLY] dishonest [PERIOD]
precious [AND] worried [IMPLY] curious [PERIOD]
elegant [IMPLY] wide-eyed [PERIOD]
careless [AND] inquisitive [IMPLY] light [PERIOD]
wandering [AND] perfect [AND] clumsy [IMPLY] beautiful [PERIOD]
inquisitive [AND] old-fashioned [IMPLY] outrageous [PERIOD]
tense [AND] rude [AND] worried [IMPLY] precious [PERIOD]
adorable [AND] rude [IMPLY] impatient [PERIOD]
outrageous [AND] wandering [IMPLY] attentive [PERIOD]
worried [IMPLY] old-fashioned [PERIOD]
outrageous [AND] perfect [IMPLY] different [PERIOD]
beautiful [IMPLY] clumsy [PERIOD]
worried [AND] different [IMPLY] attentive [PERIOD]
outrageous [AND] light [IMPLY] worried [PERIOD]
clumsy [AND] enchanting [IMPLY] pessimistic [PERIOD]
wandering [AND] attentive [IMPLY] light [PERIOD]
worried [AND] careless [IMPLY] adorable [PERIOD]
outrageous [AND] beautiful [IMPLY] perfect [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   Cannot apply rule “frightened ⇒ careless” because missing: frightened.
   Cannot apply rule “clumsy ∧ adorable ∧ enchanting ⇒ careless” because missing: clumsy, enchanting.
   Cannot apply rule “attentive ⇒ careless” because missing: attentive.
   Cannot apply rule “inquisitive ⇒ careless” because missing: inquisitive.
",0,4
"Facts:  Alice is careless [PERIOD] Alice is broad-minded [PERIOD] Alice is stupid [PERIOD] Alice is messy [PERIOD] Alice is stormy [PERIOD] Alice is powerful [PERIOD] Alice is beautiful [PERIOD]
Rules:
stubborn [IMPLY] beautiful [PERIOD]
stormy [AND] powerful [AND] stupid [IMPLY] rational [PERIOD]
rational [IMPLY] careless [PERIOD]
beautiful [AND] messy [AND] stupid [IMPLY] cooperative [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   beautiful ∧ messy ∧ stupid ⇒ cooperative
",1,1
"Facts:  Alice is thoughtless [PERIOD] Alice is excited [PERIOD] Alice is confident [PERIOD] Alice is busy [PERIOD]
Rules:
loving [AND] grumpy [AND] busy [IMPLY] silly [PERIOD]
bored [AND] confident [IMPLY] fancy [PERIOD]
excited [AND] comfortable [AND] bored [IMPLY] precious [PERIOD]
calm [AND] diplomatic [AND] confident [IMPLY] silly [PERIOD]
loving [IMPLY] bored [PERIOD]
diplomatic [IMPLY] grumpy [PERIOD]
fancy [IMPLY] thoughtless [PERIOD]
confused [IMPLY] busy [PERIOD]
sensible [IMPLY] outstanding [PERIOD]
precious [AND] excited [IMPLY] grumpy [PERIOD]
stormy [AND] calm [AND] thoughtless [IMPLY] diplomatic [PERIOD]
silly [AND] comfortable [AND] confused [IMPLY] diplomatic [PERIOD]
confused [AND] stormy [AND] calm [IMPLY] busy [PERIOD]
diplomatic [AND] comfortable [AND] bored [IMPLY] horrible [PERIOD]
calm [AND] shiny [AND] confident [IMPLY] silly [PERIOD]
confused [IMPLY] precious [PERIOD]
horrible [IMPLY] comfortable [PERIOD]
talkative [AND] silly [IMPLY] confused [PERIOD]
excited [AND] calm [IMPLY] silly [PERIOD]
stormy [AND] confused [AND] excited [IMPLY] talkative [PERIOD]
grumpy [IMPLY] thoughtless [PERIOD]
comfortable [IMPLY] excited [PERIOD]
loving [IMPLY] confused [PERIOD]
loving [AND] stormy [AND] precious [IMPLY] horrible [PERIOD]
calm [AND] sensible [AND] shiny [IMPLY] horrible [PERIOD]
silly [AND] bored [AND] diplomatic [IMPLY] outstanding [PERIOD]
sensible [AND] busy [AND] confused [IMPLY] thoughtless [PERIOD]
stormy [AND] busy [AND] precious [IMPLY] talkative [PERIOD]
shiny [IMPLY] confident [PERIOD]
busy [AND] grumpy [IMPLY] bored [PERIOD]
silly [AND] busy [AND] thoughtless [IMPLY] diplomatic [PERIOD]
grumpy [IMPLY] fancy [PERIOD]
talkative [AND] thoughtless [AND] shiny [IMPLY] diplomatic [PERIOD]
comfortable [AND] confused [AND] stormy [IMPLY] bored [PERIOD]
outstanding [AND] silly [AND] talkative [IMPLY] excited [PERIOD]
confused [AND] thoughtless [AND] bored [IMPLY] silly [PERIOD]
talkative [AND] confident [AND] comfortable [IMPLY] diplomatic [PERIOD]
bored [AND] sensible [IMPLY] busy [PERIOD]
diplomatic [AND] grumpy [AND] sensible [IMPLY] busy [PERIOD]
thoughtless [AND] comfortable [AND] confused [IMPLY] calm [PERIOD]
precious [AND] silly [AND] busy [IMPLY] stormy [PERIOD]
busy [AND] sensible [AND] calm [IMPLY] shiny [PERIOD]
fancy [IMPLY] comfortable [PERIOD]
grumpy [IMPLY] bored [PERIOD]
diplomatic [AND] confident [AND] talkative [IMPLY] fancy [PERIOD]
silly [AND] confident [IMPLY] excited [PERIOD]
silly [AND] comfortable [AND] stormy [IMPLY] excited [PERIOD]
horrible [AND] confident [IMPLY] confused [PERIOD]
calm [AND] shiny [IMPLY] silly [PERIOD]
busy [AND] thoughtless [IMPLY] talkative [PERIOD]
confident [IMPLY] sensible [PERIOD]
confused [AND] loving [IMPLY] shiny [PERIOD]
thoughtless [AND] bored [AND] outstanding [IMPLY] talkative [PERIOD]
silly [IMPLY] fancy [PERIOD]
grumpy [AND] confident [IMPLY] sensible [PERIOD]
thoughtless [AND] excited [AND] confused [IMPLY] confident [PERIOD]
stormy [AND] silly [IMPLY] sensible [PERIOD]
diplomatic [IMPLY] calm [PERIOD]
grumpy [AND] silly [AND] outstanding [IMPLY] excited [PERIOD]
fancy [IMPLY] horrible [PERIOD]
grumpy [AND] busy [IMPLY] confused [PERIOD]
shiny [IMPLY] talkative [PERIOD]
excited [AND] calm [IMPLY] grumpy [PERIOD]
diplomatic [IMPLY] thoughtless [PERIOD]
bored [IMPLY] sensible [PERIOD]
fancy [AND] horrible [AND] calm [IMPLY] sensible [PERIOD]
grumpy [IMPLY] talkative [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   Cannot apply rule “loving ∧ grumpy ∧ busy ⇒ silly” because missing: loving, grumpy.
   Cannot apply rule “calm ∧ diplomatic ∧ confident ⇒ silly” because missing: calm, diplomatic.
   Cannot apply rule “calm ∧ shiny ∧ confident ⇒ silly” because missing: calm, shiny.
   Cannot apply rule “excited ∧ calm ⇒ silly” because missing: calm.
   Cannot apply rule “confused ∧ thoughtless ∧ bored ⇒ silly” because missing: confused, bored.
   Cannot apply rule “calm ∧ shiny ⇒ silly” because missing: calm, shiny.
",0,6
"Facts:  Alice is confident [PERIOD] Alice is helpless [PERIOD] Alice is attractive [PERIOD] Alice is lucky [PERIOD] Alice is shiny [PERIOD] Alice is strange [PERIOD] Alice is dull [PERIOD]
Rules:
witty [IMPLY] dull [PERIOD]
bored [IMPLY] confident [PERIOD]
confident [AND] grumpy [IMPLY] witty [PERIOD]
tame [IMPLY] helpless [PERIOD]
witty [IMPLY] strange [PERIOD]
helpless [IMPLY] strange [PERIOD]
lucky [AND] witty [IMPLY] shiny [PERIOD]
shiny [AND] dull [AND] witty [IMPLY] tame [PERIOD]
shiny [IMPLY] grumpy [PERIOD]
helpless [AND] tame [IMPLY] shiny [PERIOD]
strange [AND] bored [AND] grumpy [IMPLY] witty [PERIOD]
bored [AND] confident [AND] dull [IMPLY] attractive [PERIOD]
witty [AND] modern [AND] confident [IMPLY] attractive [PERIOD]
grumpy [AND] dull [AND] witty [IMPLY] shiny [PERIOD]
dull [AND] confident [IMPLY] strange [PERIOD]
dull [IMPLY] grumpy [PERIOD]
modern [AND] helpless [IMPLY] tame [PERIOD]
attractive [AND] modern [IMPLY] lucky [PERIOD]
tame [IMPLY] confident [PERIOD]
tame [IMPLY] attractive [PERIOD]
shiny [AND] lucky [IMPLY] tame [PERIOD]
dull [AND] helpless [IMPLY] strange [PERIOD]
shiny [AND] dull [AND] bored [IMPLY] strange [PERIOD]
bored [AND] helpless [AND] modern [IMPLY] grumpy [PERIOD]
dull [AND] bored [IMPLY] shiny [PERIOD]
strange [AND] modern [IMPLY] dull [PERIOD]
tame [AND] strange [IMPLY] lucky [PERIOD]
confident [AND] lucky [IMPLY] strange [PERIOD]
bored [AND] shiny [IMPLY] modern [PERIOD]
dull [IMPLY] tame [PERIOD]
witty [AND] tame [IMPLY] confident [PERIOD]
lucky [IMPLY] shiny [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   dull ⇒ grumpy
   confident ∧ grumpy ⇒ witty
",1,2
"Facts:  Alice is calm [PERIOD] Alice is ugly [PERIOD] Alice is tender [PERIOD] Alice is joyous [PERIOD] Alice is wide-eyed [PERIOD] Alice is different [PERIOD]
Rules:
messy [IMPLY] different [PERIOD]
smart [AND] sleepy [AND] wide-eyed [IMPLY] calm [PERIOD]
confused [AND] wide-eyed [AND] difficult [IMPLY] sleepy [PERIOD]
wide-eyed [AND] confused [AND] calm [IMPLY] difficult [PERIOD]
sleepy [AND] ugly [IMPLY] confused [PERIOD]
sleepy [AND] wide-eyed [IMPLY] ugly [PERIOD]
smart [AND] wide-eyed [AND] calm [IMPLY] tender [PERIOD]
wide-eyed [AND] difficult [IMPLY] messy [PERIOD]
smart [AND] joyous [IMPLY] confused [PERIOD]
calm [AND] tender [IMPLY] wide-eyed [PERIOD]
smart [AND] tender [AND] calm [IMPLY] sleepy [PERIOD]
tender [IMPLY] messy [PERIOD]
joyous [AND] ugly [AND] confused [IMPLY] smart [PERIOD]
calm [IMPLY] sleepy [PERIOD]
sleepy [AND] joyous [AND] tender [IMPLY] smart [PERIOD]
ugly [AND] messy [IMPLY] smart [PERIOD]
messy [AND] calm [IMPLY] different [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is modern [PERIOD]
Rules:
pessimistic [AND] sensible [IMPLY] disobedient [PERIOD]
reserved [AND] excited [AND] elegant [IMPLY] pessimistic [PERIOD]
talkative [IMPLY] sensible [PERIOD]
excited [IMPLY] elegant [PERIOD]
elegant [AND] pessimistic [AND] modern [IMPLY] excited [PERIOD]
excited [AND] modern [AND] disobedient [IMPLY] pessimistic [PERIOD]
stupid [IMPLY] excited [PERIOD]
excited [AND] modern [AND] elegant [IMPLY] talkative [PERIOD]
talkative [AND] reserved [AND] elegant [IMPLY] modern [PERIOD]
stupid [AND] disobedient [IMPLY] elegant [PERIOD]
sensible [AND] modern [AND] talkative [IMPLY] pessimistic [PERIOD]
sensible [AND] talkative [IMPLY] stupid [PERIOD]
excited [AND] disobedient [AND] sensible [IMPLY] modern [PERIOD]
reserved [AND] elegant [AND] modern [IMPLY] stupid [PERIOD]
disobedient [AND] sensible [IMPLY] modern [PERIOD]
modern [AND] elegant [AND] stupid [IMPLY] victorious [PERIOD]
excited [IMPLY] reserved [PERIOD]
disobedient [AND] pessimistic [AND] talkative [IMPLY] reserved [PERIOD]
reserved [AND] stupid [IMPLY] victorious [PERIOD]
sensible [AND] elegant [IMPLY] victorious [PERIOD]
stupid [IMPLY] pessimistic [PERIOD]
elegant [AND] sensible [IMPLY] pessimistic [PERIOD]
victorious [AND] reserved [IMPLY] stupid [PERIOD]
elegant [AND] disobedient [AND] talkative [IMPLY] reserved [PERIOD]
modern [IMPLY] stupid [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   modern ⇒ stupid
   stupid ⇒ excited
   modern ⇒ stupid
   stupid ⇒ excited
   excited ⇒ elegant
   excited ∧ modern ∧ elegant ⇒ talkative
",1,6
"Facts:  Alice is nervous [PERIOD] Alice is impatient [PERIOD] Alice is careless [PERIOD] Alice is helpful [PERIOD] Alice is selfish [PERIOD] Alice is outstanding [PERIOD] Alice is combative [PERIOD] Alice is spotless [PERIOD] Alice is joyous [PERIOD] Alice is comfortable [PERIOD] Alice is gifted [PERIOD] Alice is alert [PERIOD] Alice is lonely [PERIOD]
Rules:
nervous [IMPLY] spotless [PERIOD]
outstanding [AND] nervous [AND] helpful [IMPLY] comfortable [PERIOD]
selfish [IMPLY] alert [PERIOD]
combative [IMPLY] spotless [PERIOD]
nervous [AND] combative [AND] outstanding [IMPLY] alert [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is frightened [PERIOD] Alice is ambitious [PERIOD]
Rules:
clumsy [AND] condemned [AND] hilarious [IMPLY] fine [PERIOD]
frightened [AND] pleasant [AND] condemned [IMPLY] fragile [PERIOD]
adorable [AND] anxious [AND] fine [IMPLY] hurt [PERIOD]
fragile [AND] crowded [IMPLY] disgusted [PERIOD]
friendly [AND] hurt [IMPLY] frightened [PERIOD]
adorable [IMPLY] anxious [PERIOD]
loving [IMPLY] dishonest [PERIOD]
loving [AND] bad-tempered [IMPLY] uptight [PERIOD]
crowded [IMPLY] fragile [PERIOD]
ugliest [AND] bad-tempered [IMPLY] ambitious [PERIOD]
fragile [AND] plain [AND] crowded [IMPLY] calm [PERIOD]
fragile [AND] ambitious [IMPLY] friendly [PERIOD]
bad-tempered [AND] hilarious [IMPLY] crowded [PERIOD]
hurt [AND] disgusted [IMPLY] zealous [PERIOD]
disgusted [IMPLY] popular [PERIOD]
plain [AND] diplomatic [IMPLY] fine [PERIOD]
clumsy [AND] anxious [IMPLY] uptight [PERIOD]
frightened [AND] bad-tempered [AND] disgusted [IMPLY] calm [PERIOD]
hurt [AND] zealous [AND] popular [IMPLY] hilarious [PERIOD]
plain [AND] wide-eyed [AND] pleasant [IMPLY] loving [PERIOD]
popular [AND] cooperative [IMPLY] ugliest [PERIOD]
uptight [AND] diplomatic [IMPLY] clumsy [PERIOD]
joyous [IMPLY] bad-tempered [PERIOD]
dishonest [AND] rude [AND] zealous [IMPLY] bad-tempered [PERIOD]
plain [AND] loving [IMPLY] cooperative [PERIOD]
dishonest [IMPLY] ugliest [PERIOD]
zealous [AND] clumsy [AND] frightened [IMPLY] crowded [PERIOD]
frightened [AND] diplomatic [AND] hurt [IMPLY] anxious [PERIOD]
plain [IMPLY] anxious [PERIOD]
adorable [AND] ugliest [AND] diplomatic [IMPLY] cooperative [PERIOD]
bad-tempered [AND] ugliest [IMPLY] disgusted [PERIOD]
joyous [AND] hilarious [IMPLY] fragile [PERIOD]
condemned [IMPLY] disgusted [PERIOD]
hilarious [AND] pleasant [AND] joyous [IMPLY] zealous [PERIOD]
dishonest [AND] adorable [AND] pleasant [IMPLY] plain [PERIOD]
uptight [AND] clumsy [AND] loving [IMPLY] rude [PERIOD]
hilarious [IMPLY] bad-tempered [PERIOD]
crowded [AND] fine [AND] hurt [IMPLY] hilarious [PERIOD]
cooperative [IMPLY] uptight [PERIOD]
pleasant [AND] diplomatic [IMPLY] dishonest [PERIOD]
cooperative [IMPLY] condemned [PERIOD]
condemned [AND] dishonest [AND] crowded [IMPLY] grumpy [PERIOD]
friendly [AND] ambitious [AND] bad-tempered [IMPLY] fragile [PERIOD]
clumsy [IMPLY] crowded [PERIOD]
wide-eyed [AND] condemned [IMPLY] hurt [PERIOD]
zealous [AND] plain [IMPLY] joyous [PERIOD]
uptight [IMPLY] calm [PERIOD]
rude [AND] loving [AND] hilarious [IMPLY] disgusted [PERIOD]
plain [AND] fragile [IMPLY] disgusted [PERIOD]
condemned [AND] adorable [AND] fine [IMPLY] zealous [PERIOD]
frightened [AND] popular [IMPLY] fragile [PERIOD]
hilarious [IMPLY] wide-eyed [PERIOD]
fragile [AND] ambitious [AND] anxious [IMPLY] hilarious [PERIOD]
joyous [IMPLY] loving [PERIOD]
crowded [AND] disgusted [AND] frightened [IMPLY] hilarious [PERIOD]
cooperative [AND] calm [IMPLY] clumsy [PERIOD]
diplomatic [AND] pleasant [IMPLY] anxious [PERIOD]
crowded [IMPLY] loving [PERIOD]
plain [AND] disgusted [IMPLY] popular [PERIOD]
plain [IMPLY] loving [PERIOD]
zealous [AND] bad-tempered [AND] joyous [IMPLY] hurt [PERIOD]
wide-eyed [AND] bad-tempered [AND] rude [IMPLY] popular [PERIOD]
anxious [AND] disgusted [IMPLY] frightened [PERIOD]
wide-eyed [AND] disgusted [AND] diplomatic [IMPLY] pleasant [PERIOD]
cooperative [AND] calm [IMPLY] friendly [PERIOD]
zealous [AND] hilarious [IMPLY] hurt [PERIOD]
joyous [AND] fragile [IMPLY] wide-eyed [PERIOD]
ambitious [AND] dishonest [IMPLY] clumsy [PERIOD]
clumsy [AND] condemned [IMPLY] wide-eyed [PERIOD]
calm [IMPLY] ambitious [PERIOD]
condemned [AND] frightened [AND] hilarious [IMPLY] hurt [PERIOD]
wide-eyed [AND] ambitious [AND] uptight [IMPLY] bad-tempered [PERIOD]
crowded [AND] friendly [AND] disgusted [IMPLY] rude [PERIOD]
crowded [AND] ambitious [AND] wide-eyed [IMPLY] condemned [PERIOD]
fine [AND] calm [IMPLY] ambitious [PERIOD]
frightened [AND] joyous [AND] uptight [IMPLY] wide-eyed [PERIOD]
hurt [AND] wide-eyed [IMPLY] loving [PERIOD]
clumsy [AND] joyous [IMPLY] cooperative [PERIOD]
hilarious [IMPLY] condemned [PERIOD]
grumpy [AND] uptight [IMPLY] diplomatic [PERIOD]
crowded [AND] friendly [AND] loving [IMPLY] disgusted [PERIOD]
popular [AND] fine [AND] friendly [IMPLY] zealous [PERIOD]
bad-tempered [IMPLY] rude [PERIOD]
clumsy [AND] diplomatic [IMPLY] calm [PERIOD]
wide-eyed [AND] cooperative [IMPLY] plain [PERIOD]
wide-eyed [AND] uptight [IMPLY] anxious [PERIOD]
fragile [IMPLY] ambitious [PERIOD]
hilarious [IMPLY] uptight [PERIOD]
condemned [IMPLY] fragile [PERIOD]
joyous [AND] clumsy [IMPLY] zealous [PERIOD]
friendly [AND] ugliest [AND] adorable [IMPLY] uptight [PERIOD]
calm [AND] disgusted [IMPLY] clumsy [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   Cannot apply rule “clumsy ∧ condemned ∧ hilarious ⇒ fine” because missing: clumsy, condemned, hilarious.
   Cannot apply rule “plain ∧ diplomatic ⇒ fine” because missing: plain, diplomatic.
",0,2
"Facts:  Alice is famous [PERIOD] Alice is outstanding [PERIOD] Alice is zealous [PERIOD] Alice is mysterious [PERIOD] Alice is busy [PERIOD] Alice is thoughtful [PERIOD]
Rules:
enchanting [IMPLY] famous [PERIOD]
enchanting [IMPLY] busy [PERIOD]
famous [AND] mysterious [IMPLY] enchanting [PERIOD]
busy [AND] thoughtful [IMPLY] enchanting [PERIOD]
zealous [AND] busy [IMPLY] outstanding [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   famous ∧ mysterious ⇒ enchanting
",1,1
"Facts:  Alice is sleepy [PERIOD] Alice is excited [PERIOD] Alice is ugliest [PERIOD] Alice is messy [PERIOD] Alice is sincere [PERIOD] Alice is agreeable [PERIOD] Alice is rude [PERIOD] Alice is wrong [PERIOD] Alice is rational [PERIOD] Alice is gleaming [PERIOD]
Rules:
selfish [IMPLY] quaint [PERIOD]
ugliest [IMPLY] gleaming [PERIOD]
selfish [AND] rude [AND] excited [IMPLY] agreeable [PERIOD]
glamorous [IMPLY] zealous [PERIOD]
sleepy [AND] fine [AND] gleaming [IMPLY] messy [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   No rule concludes “difficult.”
",0,1
"Facts:  Alice is stubborn [PERIOD] Alice is hurt [PERIOD]
Rules:
sensible [AND] polite [AND] confident [IMPLY] stubborn [PERIOD]
gifted [IMPLY] sensible [PERIOD]
outrageous [AND] confident [IMPLY] inexpensive [PERIOD]
frantic [IMPLY] fearless [PERIOD]
gifted [AND] inexpensive [IMPLY] broad-minded [PERIOD]
nervous [IMPLY] broad-minded [PERIOD]
hurt [AND] combative [AND] nervous [IMPLY] naughty [PERIOD]
intellectual [AND] frantic [AND] stubborn [IMPLY] confident [PERIOD]
intellectual [AND] outrageous [IMPLY] frantic [PERIOD]
broad-minded [IMPLY] naughty [PERIOD]
combative [AND] tired [AND] intellectual [IMPLY] naughty [PERIOD]
polite [AND] sensible [AND] outrageous [IMPLY] intellectual [PERIOD]
stubborn [AND] broad-minded [IMPLY] thoughtful [PERIOD]
gifted [AND] inexpensive [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] fearless [PERIOD]
fearless [IMPLY] polite [PERIOD]
frantic [IMPLY] intellectual [PERIOD]
polite [AND] fearless [AND] nervous [IMPLY] inexpensive [PERIOD]
sensible [AND] polite [IMPLY] stubborn [PERIOD]
thoughtful [AND] naughty [IMPLY] nervous [PERIOD]
naughty [IMPLY] nervous [PERIOD]
outrageous [IMPLY] thoughtful [PERIOD]
broad-minded [AND] polite [IMPLY] confident [PERIOD]
intellectual [AND] thoughtful [AND] stubborn [IMPLY] hurt [PERIOD]
naughty [AND] tired [IMPLY] combative [PERIOD]
thoughtful [AND] frantic [AND] stubborn [IMPLY] sensible [PERIOD]
polite [AND] sensible [AND] frantic [IMPLY] confident [PERIOD]
broad-minded [IMPLY] nervous [PERIOD]
hurt [AND] nervous [IMPLY] frantic [PERIOD]
stubborn [IMPLY] hurt [PERIOD]
sensible [IMPLY] combative [PERIOD]
frantic [IMPLY] naughty [PERIOD]
gifted [AND] intellectual [IMPLY] broad-minded [PERIOD]
tired [AND] frantic [AND] confident [IMPLY] gifted [PERIOD]
intellectual [IMPLY] frantic [PERIOD]
nervous [IMPLY] outrageous [PERIOD]
thoughtful [AND] broad-minded [IMPLY] hurt [PERIOD]
inexpensive [AND] outrageous [IMPLY] fearless [PERIOD]
broad-minded [AND] stubborn [AND] gifted [IMPLY] combative [PERIOD]
naughty [AND] thoughtful [AND] stubborn [IMPLY] polite [PERIOD]
hurt [AND] broad-minded [AND] confident [IMPLY] fearless [PERIOD]
fearless [AND] naughty [AND] stubborn [IMPLY] hurt [PERIOD]
naughty [AND] broad-minded [AND] frantic [IMPLY] gifted [PERIOD]
stubborn [IMPLY] inexpensive [PERIOD]
naughty [IMPLY] fearless [PERIOD]
inexpensive [AND] intellectual [IMPLY] outrageous [PERIOD]
confident [IMPLY] gifted [PERIOD]
inexpensive [AND] thoughtful [AND] hurt [IMPLY] stubborn [PERIOD]
naughty [IMPLY] sensible [PERIOD]
combative [IMPLY] thoughtful [PERIOD]
hurt [IMPLY] polite [PERIOD]
naughty [AND] thoughtful [IMPLY] polite [PERIOD]
broad-minded [AND] confident [IMPLY] fearless [PERIOD]
nervous [AND] combative [IMPLY] gifted [PERIOD]
nervous [AND] fearless [IMPLY] inexpensive [PERIOD]
stubborn [AND] fearless [IMPLY] naughty [PERIOD]
inexpensive [AND] polite [IMPLY] naughty [PERIOD]
confident [AND] frantic [IMPLY] broad-minded [PERIOD]
sensible [AND] thoughtful [AND] confident [IMPLY] combative [PERIOD]
thoughtful [IMPLY] intellectual [PERIOD]
fearless [IMPLY] frantic [PERIOD]
frantic [IMPLY] inexpensive [PERIOD]
confident [AND] intellectual [IMPLY] polite [PERIOD]
broad-minded [AND] hurt [AND] nervous [IMPLY] frantic [PERIOD]
thoughtful [IMPLY] broad-minded [PERIOD]
sensible [AND] naughty [IMPLY] broad-minded [PERIOD]
broad-minded [AND] hurt [AND] nervous [IMPLY] polite [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   stubborn ⇒ inexpensive
   hurt ⇒ polite
   inexpensive ∧ polite ⇒ naughty
   naughty ⇒ nervous
   nervous ⇒ broad-minded
   stubborn ∧ broad-minded ⇒ thoughtful
",1,6
"Facts:  Alice is versatile [PERIOD]
Rules:
smart [AND] sleepy [IMPLY] anxious [PERIOD]
friendly [AND] light [AND] versatile [IMPLY] anxious [PERIOD]
friendly [IMPLY] anxious [PERIOD]
perfect [AND] smart [IMPLY] light [PERIOD]
anxious [AND] smart [IMPLY] clumsy [PERIOD]
anxious [IMPLY] light [PERIOD]
friendly [AND] smart [IMPLY] sleepy [PERIOD]
Query: Alice is versatile [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is proud [PERIOD] Alice is broad-minded [PERIOD] Alice is confused [PERIOD]
Rules:
lonely [AND] bored [IMPLY] ambitious [PERIOD]
elegant [IMPLY] proud [PERIOD]
bored [AND] ambitious [IMPLY] bossy [PERIOD]
ambitious [AND] scared [IMPLY] plain [PERIOD]
ambitious [IMPLY] sleepy [PERIOD]
unpleasant [AND] confused [AND] broad-minded [IMPLY] bad-tempered [PERIOD]
bored [AND] inquisitive [AND] lonely [IMPLY] proud [PERIOD]
inexpensive [AND] strange [IMPLY] bored [PERIOD]
wide-eyed [AND] modern [AND] bored [IMPLY] disgusted [PERIOD]
sensible [AND] modern [IMPLY] lonely [PERIOD]
scared [IMPLY] bad-tempered [PERIOD]
frail [IMPLY] ambitious [PERIOD]
gifted [AND] confused [AND] inexpensive [IMPLY] lonely [PERIOD]
unpleasant [AND] modern [AND] confused [IMPLY] ambitious [PERIOD]
sleepy [IMPLY] elegant [PERIOD]
wide-eyed [IMPLY] unpleasant [PERIOD]
elegant [IMPLY] confused [PERIOD]
broad-minded [IMPLY] lonely [PERIOD]
unpleasant [AND] combative [AND] gifted [IMPLY] sensible [PERIOD]
confused [AND] ambitious [IMPLY] inquisitive [PERIOD]
wide-eyed [AND] sensible [IMPLY] bad-tempered [PERIOD]
proud [AND] unpleasant [AND] plain [IMPLY] combative [PERIOD]
confused [AND] difficult [IMPLY] modern [PERIOD]
sleepy [AND] unpleasant [IMPLY] strange [PERIOD]
difficult [IMPLY] cute [PERIOD]
proud [AND] cute [AND] ambitious [IMPLY] inexpensive [PERIOD]
gifted [AND] difficult [IMPLY] sensible [PERIOD]
bored [AND] difficult [IMPLY] proud [PERIOD]
proud [AND] elegant [AND] gifted [IMPLY] wide-eyed [PERIOD]
inexpensive [AND] modern [IMPLY] difficult [PERIOD]
difficult [AND] scared [IMPLY] inexpensive [PERIOD]
difficult [AND] ambitious [AND] frail [IMPLY] bossy [PERIOD]
confused [AND] inquisitive [AND] modern [IMPLY] gifted [PERIOD]
sleepy [IMPLY] inexpensive [PERIOD]
unpleasant [AND] lonely [AND] ambitious [IMPLY] bad-tempered [PERIOD]
sensible [IMPLY] gifted [PERIOD]
frightened [AND] scared [AND] inexpensive [IMPLY] broad-minded [PERIOD]
bored [AND] strange [AND] inexpensive [IMPLY] lonely [PERIOD]
frightened [AND] frail [IMPLY] bad-tempered [PERIOD]
sensible [IMPLY] wide-eyed [PERIOD]
inquisitive [IMPLY] unpleasant [PERIOD]
bad-tempered [IMPLY] proud [PERIOD]
bored [AND] frail [AND] combative [IMPLY] cute [PERIOD]
frail [IMPLY] sensible [PERIOD]
gifted [IMPLY] bored [PERIOD]
inquisitive [IMPLY] combative [PERIOD]
bad-tempered [AND] disgusted [IMPLY] cute [PERIOD]
disgusted [IMPLY] wide-eyed [PERIOD]
plain [AND] modern [AND] bored [IMPLY] confused [PERIOD]
elegant [AND] wide-eyed [IMPLY] bored [PERIOD]
confused [IMPLY] ambitious [PERIOD]
elegant [AND] broad-minded [AND] frightened [IMPLY] scared [PERIOD]
cute [IMPLY] disgusted [PERIOD]
modern [AND] broad-minded [IMPLY] strange [PERIOD]
frightened [IMPLY] inquisitive [PERIOD]
confused [AND] sleepy [IMPLY] inexpensive [PERIOD]
gifted [AND] sensible [AND] bossy [IMPLY] wide-eyed [PERIOD]
frightened [AND] gifted [AND] bossy [IMPLY] cute [PERIOD]
unpleasant [AND] modern [AND] broad-minded [IMPLY] elegant [PERIOD]
elegant [AND] combative [AND] gifted [IMPLY] lonely [PERIOD]
sensible [AND] bossy [IMPLY] difficult [PERIOD]
wide-eyed [AND] sensible [AND] unpleasant [IMPLY] frail [PERIOD]
modern [AND] lonely [IMPLY] frail [PERIOD]
inquisitive [AND] ambitious [AND] gifted [IMPLY] unpleasant [PERIOD]
sensible [AND] ambitious [IMPLY] difficult [PERIOD]
inexpensive [AND] ambitious [IMPLY] sensible [PERIOD]
bad-tempered [IMPLY] sensible [PERIOD]
lonely [AND] proud [AND] frightened [IMPLY] bossy [PERIOD]
inquisitive [AND] cute [IMPLY] ambitious [PERIOD]
difficult [AND] bad-tempered [IMPLY] wide-eyed [PERIOD]
scared [AND] bad-tempered [IMPLY] confused [PERIOD]
frail [AND] sleepy [AND] bossy [IMPLY] difficult [PERIOD]
difficult [AND] bad-tempered [IMPLY] proud [PERIOD]
unpleasant [AND] plain [IMPLY] bad-tempered [PERIOD]
elegant [AND] combative [IMPLY] strange [PERIOD]
difficult [IMPLY] ambitious [PERIOD]
broad-minded [IMPLY] frightened [PERIOD]
bad-tempered [AND] frail [IMPLY] scared [PERIOD]
gifted [AND] ambitious [AND] lonely [IMPLY] frail [PERIOD]
elegant [IMPLY] wide-eyed [PERIOD]
frail [AND] inexpensive [IMPLY] wide-eyed [PERIOD]
proud [AND] cute [AND] modern [IMPLY] frightened [PERIOD]
combative [AND] plain [AND] inexpensive [IMPLY] difficult [PERIOD]
frail [IMPLY] disgusted [PERIOD]
frightened [AND] elegant [AND] wide-eyed [IMPLY] inquisitive [PERIOD]
sensible [AND] difficult [AND] combative [IMPLY] cute [PERIOD]
proud [IMPLY] bored [PERIOD]
cute [IMPLY] scared [PERIOD]
disgusted [IMPLY] difficult [PERIOD]
lonely [AND] modern [AND] inexpensive [IMPLY] bossy [PERIOD]
proud [IMPLY] lonely [PERIOD]
cute [AND] modern [IMPLY] bored [PERIOD]
lonely [AND] elegant [IMPLY] frail [PERIOD]
frightened [IMPLY] cute [PERIOD]
modern [IMPLY] difficult [PERIOD]
combative [AND] lonely [IMPLY] broad-minded [PERIOD]
elegant [IMPLY] scared [PERIOD]
strange [AND] unpleasant [IMPLY] inquisitive [PERIOD]
lonely [AND] elegant [IMPLY] cute [PERIOD]
confused [IMPLY] plain [PERIOD]
elegant [AND] plain [IMPLY] inexpensive [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   broad-minded ⇒ lonely
   confused ⇒ ambitious
   ambitious ⇒ sleepy
   sleepy ⇒ elegant
   lonely ∧ elegant ⇒ frail
",1,5
"Facts: 
Rules:
inquisitive [AND] scared [IMPLY] elated [PERIOD]
frightened [AND] inquisitive [IMPLY] elated [PERIOD]
frightened [IMPLY] scared [PERIOD]
frightened [AND] vivacious [AND] inquisitive [IMPLY] scared [PERIOD]
elated [AND] frightened [AND] inquisitive [IMPLY] vivacious [PERIOD]
scared [AND] frightened [IMPLY] vivacious [PERIOD]
frightened [AND] elated [AND] vivacious [IMPLY] scared [PERIOD]
scared [AND] elated [IMPLY] frightened [PERIOD]
elated [IMPLY] inquisitive [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
   Cannot apply rule “frightened ⇒ scared” because missing: frightened.
   Cannot apply rule “frightened ∧ vivacious ∧ inquisitive ⇒ scared” because missing: frightened, vivacious, inquisitive.
   Cannot apply rule “frightened ∧ elated ∧ vivacious ⇒ scared” because missing: frightened, elated, vivacious.
",0,3
"Facts:  Alice is clean [PERIOD] Alice is confident [PERIOD] Alice is mysterious [PERIOD]
Rules:
foolish [AND] loving [AND] mysterious [IMPLY] clean [PERIOD]
loving [IMPLY] tender [PERIOD]
beautiful [AND] foolish [AND] excited [IMPLY] clean [PERIOD]
scared [AND] strange [IMPLY] loving [PERIOD]
loving [AND] clean [IMPLY] foolish [PERIOD]
mysterious [AND] glamorous [AND] scared [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] thoughtless [PERIOD]
unpleasant [IMPLY] scared [PERIOD]
foolish [IMPLY] strange [PERIOD]
tender [AND] disgusted [AND] glamorous [IMPLY] unpleasant [PERIOD]
busy [AND] scared [IMPLY] excited [PERIOD]
tender [AND] confident [IMPLY] scared [PERIOD]
foolish [IMPLY] clean [PERIOD]
beautiful [AND] disgusted [AND] tender [IMPLY] busy [PERIOD]
confident [AND] excited [IMPLY] tender [PERIOD]
foolish [AND] busy [AND] scared [IMPLY] clean [PERIOD]
loving [IMPLY] clean [PERIOD]
mysterious [AND] beautiful [AND] excited [IMPLY] scared [PERIOD]
excited [AND] loving [IMPLY] glamorous [PERIOD]
loving [AND] excited [IMPLY] charming [PERIOD]
excited [AND] thoughtless [AND] loving [IMPLY] strange [PERIOD]
confident [AND] busy [IMPLY] scared [PERIOD]
mysterious [IMPLY] disgusted [PERIOD]
mysterious [AND] tender [IMPLY] thoughtless [PERIOD]
charming [IMPLY] strange [PERIOD]
busy [AND] clean [IMPLY] mysterious [PERIOD]
tender [AND] busy [IMPLY] unpleasant [PERIOD]
tender [AND] unpleasant [IMPLY] clean [PERIOD]
busy [AND] excited [IMPLY] confident [PERIOD]
thoughtless [AND] disgusted [IMPLY] charming [PERIOD]
disgusted [AND] excited [AND] charming [IMPLY] clean [PERIOD]
clean [AND] unpleasant [AND] confident [IMPLY] glamorous [PERIOD]
foolish [IMPLY] scared [PERIOD]
disgusted [AND] tender [IMPLY] excited [PERIOD]
mysterious [AND] excited [AND] charming [IMPLY] thoughtless [PERIOD]
strange [IMPLY] unpleasant [PERIOD]
glamorous [AND] strange [IMPLY] mysterious [PERIOD]
clean [AND] charming [AND] beautiful [IMPLY] foolish [PERIOD]
disgusted [AND] loving [AND] clean [IMPLY] unpleasant [PERIOD]
strange [IMPLY] mysterious [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   mysterious ⇒ disgusted
   disgusted ⇒ thoughtless
   mysterious ⇒ disgusted
   thoughtless ∧ disgusted ⇒ charming
   charming ⇒ strange
",1,5
"Facts:  Alice is bossy [PERIOD]
Rules:
pessimistic [IMPLY] alert [PERIOD]
horrible [AND] alert [AND] pessimistic [IMPLY] bossy [PERIOD]
pessimistic [IMPLY] bossy [PERIOD]
horrible [IMPLY] alert [PERIOD]
bossy [AND] horrible [AND] alert [IMPLY] messy [PERIOD]
messy [AND] bossy [AND] alert [IMPLY] pessimistic [PERIOD]
bossy [AND] horrible [AND] messy [IMPLY] pessimistic [PERIOD]
bossy [AND] alert [IMPLY] horrible [PERIOD]
bossy [AND] pessimistic [IMPLY] messy [PERIOD]
bossy [AND] horrible [AND] alert [IMPLY] pessimistic [PERIOD]
pessimistic [AND] messy [IMPLY] horrible [PERIOD]
pessimistic [AND] bossy [AND] alert [IMPLY] horrible [PERIOD]
messy [AND] horrible [IMPLY] pessimistic [PERIOD]
pessimistic [AND] alert [IMPLY] bossy [PERIOD]
alert [AND] horrible [IMPLY] pessimistic [PERIOD]
bossy [IMPLY] pessimistic [PERIOD]
bossy [AND] alert [IMPLY] messy [PERIOD]
horrible [AND] pessimistic [IMPLY] alert [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   bossy ⇒ pessimistic
   pessimistic ⇒ alert
",1,2
"Facts:  Alice is busy [PERIOD]
Rules:
wandering [AND] powerful [AND] adorable [IMPLY] wide-eyed [PERIOD]
calm [IMPLY] pessimistic [PERIOD]
distinct [AND] courageous [AND] tame [IMPLY] embarrassed [PERIOD]
distinct [IMPLY] inquisitive [PERIOD]
clean [AND] distinct [AND] powerful [IMPLY] adorable [PERIOD]
good [IMPLY] wandering [PERIOD]
mysterious [AND] embarrassed [IMPLY] adorable [PERIOD]
tame [AND] embarrassed [AND] mysterious [IMPLY] busy [PERIOD]
blushing [IMPLY] amused [PERIOD]
pessimistic [AND] proud [IMPLY] courageous [PERIOD]
embarrassed [AND] tame [AND] wide-eyed [IMPLY] powerful [PERIOD]
distinct [AND] loving [IMPLY] mysterious [PERIOD]
pessimistic [IMPLY] sleepy [PERIOD]
sleepy [AND] adorable [IMPLY] mysterious [PERIOD]
sleepy [AND] wide-eyed [IMPLY] proud [PERIOD]
tame [AND] sincere [IMPLY] clean [PERIOD]
embarrassed [AND] amused [IMPLY] wide-eyed [PERIOD]
busy [AND] clean [AND] blushing [IMPLY] wandering [PERIOD]
inquisitive [IMPLY] embarrassed [PERIOD]
loving [IMPLY] mysterious [PERIOD]
sleepy [IMPLY] adorable [PERIOD]
inquisitive [AND] embarrassed [IMPLY] busy [PERIOD]
courageous [IMPLY] clean [PERIOD]
busy [AND] adorable [IMPLY] blushing [PERIOD]
adorable [AND] inquisitive [IMPLY] powerful [PERIOD]
amused [IMPLY] good [PERIOD]
distinct [AND] busy [IMPLY] good [PERIOD]
inquisitive [IMPLY] sincere [PERIOD]
sincere [AND] embarrassed [IMPLY] ambitious [PERIOD]
amused [IMPLY] mysterious [PERIOD]
wandering [IMPLY] distinct [PERIOD]
loving [AND] pessimistic [AND] sleepy [IMPLY] blushing [PERIOD]
distinct [AND] pessimistic [AND] inquisitive [IMPLY] amused [PERIOD]
embarrassed [AND] courageous [AND] amused [IMPLY] distinct [PERIOD]
blushing [IMPLY] clean [PERIOD]
inquisitive [AND] blushing [IMPLY] hilarious [PERIOD]
blushing [AND] ambitious [AND] inquisitive [IMPLY] loving [PERIOD]
hilarious [AND] proud [IMPLY] calm [PERIOD]
busy [AND] ambitious [AND] hilarious [IMPLY] calm [PERIOD]
wandering [AND] embarrassed [AND] wide-eyed [IMPLY] adorable [PERIOD]
ambitious [IMPLY] powerful [PERIOD]
calm [AND] sleepy [IMPLY] pessimistic [PERIOD]
hilarious [AND] ambitious [IMPLY] pessimistic [PERIOD]
tame [AND] busy [IMPLY] ambitious [PERIOD]
loving [AND] proud [IMPLY] courageous [PERIOD]
hilarious [AND] embarrassed [AND] mysterious [IMPLY] wandering [PERIOD]
embarrassed [AND] wide-eyed [IMPLY] amused [PERIOD]
proud [IMPLY] good [PERIOD]
proud [IMPLY] sincere [PERIOD]
wide-eyed [AND] mysterious [AND] proud [IMPLY] good [PERIOD]
calm [IMPLY] powerful [PERIOD]
sincere [AND] pessimistic [IMPLY] tame [PERIOD]
inquisitive [IMPLY] busy [PERIOD]
pessimistic [AND] amused [AND] sleepy [IMPLY] mysterious [PERIOD]
wandering [IMPLY] embarrassed [PERIOD]
loving [IMPLY] sleepy [PERIOD]
busy [AND] wandering [AND] embarrassed [IMPLY] inquisitive [PERIOD]
good [IMPLY] inquisitive [PERIOD]
tame [AND] embarrassed [IMPLY] powerful [PERIOD]
powerful [IMPLY] hilarious [PERIOD]
clean [AND] wide-eyed [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] embarrassed [PERIOD]
pessimistic [IMPLY] amused [PERIOD]
loving [AND] wide-eyed [IMPLY] wandering [PERIOD]
wide-eyed [AND] blushing [IMPLY] busy [PERIOD]
distinct [AND] amused [IMPLY] inquisitive [PERIOD]
loving [AND] distinct [IMPLY] clean [PERIOD]
tame [IMPLY] wandering [PERIOD]
powerful [AND] courageous [IMPLY] wide-eyed [PERIOD]
powerful [AND] wide-eyed [IMPLY] adorable [PERIOD]
inquisitive [AND] amused [AND] busy [IMPLY] distinct [PERIOD]
wandering [AND] powerful [IMPLY] calm [PERIOD]
tame [AND] sincere [IMPLY] powerful [PERIOD]
distinct [IMPLY] courageous [PERIOD]
ambitious [AND] clean [AND] loving [IMPLY] inquisitive [PERIOD]
busy [AND] adorable [IMPLY] courageous [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   Cannot apply rule “good ⇒ wandering” because missing: good.
   Cannot apply rule “busy ∧ clean ∧ blushing ⇒ wandering” because missing: clean, blushing.
   Cannot apply rule “hilarious ∧ embarrassed ∧ mysterious ⇒ wandering” because missing: hilarious, embarrassed, mysterious.
   Cannot apply rule “loving ∧ wide-eyed ⇒ wandering” because missing: loving, wide-eyed.
   Cannot apply rule “tame ⇒ wandering” because missing: tame.
",0,5
"Facts:  Alice is dull [PERIOD] Alice is bored [PERIOD] Alice is uptight [PERIOD] Alice is perfect [PERIOD] Alice is average [PERIOD] Alice is fearless [PERIOD] Alice is tidy [PERIOD] Alice is elegant [PERIOD] Alice is gleaming [PERIOD]
Rules:
difficult [AND] frantic [IMPLY] powerful [PERIOD]
gleaming [AND] quaint [IMPLY] zealous [PERIOD]
powerful [IMPLY] inexpensive [PERIOD]
powerful [AND] plain [AND] bored [IMPLY] inexpensive [PERIOD]
lucky [AND] inexpensive [AND] quaint [IMPLY] difficult [PERIOD]
wandering [AND] quaint [AND] elegant [IMPLY] plain [PERIOD]
beautiful [AND] average [IMPLY] quaint [PERIOD]
elegant [IMPLY] gleaming [PERIOD]
lucky [AND] inexpensive [AND] dull [IMPLY] uptight [PERIOD]
powerful [AND] frantic [IMPLY] bored [PERIOD]
uptight [AND] tidy [AND] elegant [IMPLY] wide-eyed [PERIOD]
wandering [AND] dull [IMPLY] powerful [PERIOD]
uptight [AND] bored [IMPLY] gleaming [PERIOD]
naughty [IMPLY] frantic [PERIOD]
gleaming [IMPLY] difficult [PERIOD]
inexpensive [IMPLY] wide-eyed [PERIOD]
plain [AND] zealous [AND] lucky [IMPLY] gleaming [PERIOD]
difficult [AND] wide-eyed [IMPLY] wandering [PERIOD]
gleaming [AND] beautiful [IMPLY] lucky [PERIOD]
quaint [AND] beautiful [AND] powerful [IMPLY] lucky [PERIOD]
dull [AND] zealous [IMPLY] bored [PERIOD]
perfect [AND] pleasant [AND] zealous [IMPLY] elegant [PERIOD]
inexpensive [IMPLY] uptight [PERIOD]
fearless [AND] lucky [AND] quaint [IMPLY] gleaming [PERIOD]
frantic [AND] difficult [IMPLY] fearless [PERIOD]
lucky [AND] quaint [AND] perfect [IMPLY] uptight [PERIOD]
powerful [AND] lucky [IMPLY] beautiful [PERIOD]
lucky [IMPLY] fearless [PERIOD]
uptight [AND] dull [AND] lucky [IMPLY] hypocritical [PERIOD]
frantic [AND] fearless [AND] lucky [IMPLY] difficult [PERIOD]
hypocritical [AND] fearless [AND] lucky [IMPLY] uptight [PERIOD]
perfect [IMPLY] uptight [PERIOD]
zealous [AND] hypocritical [IMPLY] tidy [PERIOD]
fearless [AND] hypocritical [IMPLY] uptight [PERIOD]
naughty [AND] wide-eyed [IMPLY] dull [PERIOD]
lucky [AND] perfect [AND] average [IMPLY] powerful [PERIOD]
hypocritical [IMPLY] elegant [PERIOD]
average [IMPLY] gleaming [PERIOD]
pleasant [AND] difficult [IMPLY] plain [PERIOD]
beautiful [AND] tidy [IMPLY] wandering [PERIOD]
wandering [IMPLY] pleasant [PERIOD]
elegant [IMPLY] frantic [PERIOD]
difficult [IMPLY] zealous [PERIOD]
fearless [AND] difficult [IMPLY] bored [PERIOD]
dull [AND] gleaming [AND] quaint [IMPLY] naughty [PERIOD]
naughty [IMPLY] wandering [PERIOD]
wide-eyed [IMPLY] frantic [PERIOD]
fearless [AND] bored [IMPLY] uptight [PERIOD]
fearless [IMPLY] frantic [PERIOD]
wandering [AND] powerful [IMPLY] lucky [PERIOD]
pleasant [AND] average [IMPLY] hypocritical [PERIOD]
tidy [AND] wandering [AND] lucky [IMPLY] pleasant [PERIOD]
difficult [AND] naughty [AND] hypocritical [IMPLY] uptight [PERIOD]
fearless [AND] average [IMPLY] tidy [PERIOD]
quaint [AND] difficult [AND] tidy [IMPLY] hypocritical [PERIOD]
frantic [AND] inexpensive [AND] wandering [IMPLY] plain [PERIOD]
beautiful [IMPLY] lucky [PERIOD]
fearless [AND] difficult [AND] beautiful [IMPLY] pleasant [PERIOD]
gleaming [AND] frantic [IMPLY] naughty [PERIOD]
wide-eyed [AND] zealous [IMPLY] pleasant [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   gleaming ⇒ difficult
",1,1
"Facts:  Alice is supportive [PERIOD] Alice is smart [PERIOD] Alice is talkative [PERIOD] Alice is perfect [PERIOD] Alice is sincere [PERIOD] Alice is ugliest [PERIOD]
Rules:
talkative [AND] ugliest [AND] worrisome [IMPLY] foolish [PERIOD]
talkative [IMPLY] smart [PERIOD]
broad-minded [AND] ugliest [AND] supportive [IMPLY] tame [PERIOD]
fearless [AND] zealous [IMPLY] smart [PERIOD]
ugliest [AND] foolish [AND] worrisome [IMPLY] broad-minded [PERIOD]
combative [AND] uptight [AND] talkative [IMPLY] ugliest [PERIOD]
zealous [AND] aggressive [IMPLY] supportive [PERIOD]
sincere [IMPLY] combative [PERIOD]
sincere [AND] wide-eyed [IMPLY] ugliest [PERIOD]
smart [AND] sincere [IMPLY] combative [PERIOD]
foolish [IMPLY] uptight [PERIOD]
ugliest [IMPLY] combative [PERIOD]
talkative [AND] wide-eyed [AND] combative [IMPLY] smart [PERIOD]
perfect [AND] tame [IMPLY] ugliest [PERIOD]
broad-minded [AND] zealous [AND] ugliest [IMPLY] worrisome [PERIOD]
uptight [AND] sincere [AND] supportive [IMPLY] fearless [PERIOD]
perfect [AND] sincere [AND] worrisome [IMPLY] fearless [PERIOD]
sincere [IMPLY] confident [PERIOD]
zealous [IMPLY] talkative [PERIOD]
supportive [AND] sincere [IMPLY] tame [PERIOD]
broad-minded [AND] talkative [AND] sincere [IMPLY] aggressive [PERIOD]
aggressive [AND] sincere [AND] tame [IMPLY] wide-eyed [PERIOD]
zealous [AND] worrisome [AND] foolish [IMPLY] perfect [PERIOD]
broad-minded [AND] sincere [AND] confident [IMPLY] wide-eyed [PERIOD]
uptight [AND] broad-minded [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] uptight [PERIOD]
ugliest [AND] foolish [AND] combative [IMPLY] zealous [PERIOD]
uptight [AND] foolish [AND] confident [IMPLY] perfect [PERIOD]
fearless [AND] sincere [AND] ugliest [IMPLY] supportive [PERIOD]
foolish [AND] tame [AND] sincere [IMPLY] broad-minded [PERIOD]
aggressive [AND] zealous [AND] supportive [IMPLY] confident [PERIOD]
sincere [AND] talkative [IMPLY] smart [PERIOD]
perfect [AND] talkative [AND] fearless [IMPLY] worrisome [PERIOD]
confident [AND] uptight [AND] perfect [IMPLY] broad-minded [PERIOD]
smart [IMPLY] sincere [PERIOD]
broad-minded [AND] zealous [IMPLY] worrisome [PERIOD]
supportive [AND] tame [AND] perfect [IMPLY] aggressive [PERIOD]
broad-minded [AND] talkative [IMPLY] fearless [PERIOD]
combative [AND] foolish [AND] wide-eyed [IMPLY] supportive [PERIOD]
uptight [AND] broad-minded [IMPLY] sincere [PERIOD]
wide-eyed [IMPLY] ugliest [PERIOD]
perfect [AND] uptight [IMPLY] confident [PERIOD]
foolish [IMPLY] zealous [PERIOD]
supportive [AND] uptight [IMPLY] sincere [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
   supportive ∧ sincere ⇒ tame
   supportive ∧ tame ∧ perfect ⇒ aggressive
",1,2
"Facts: 
Rules:
elegant [IMPLY] supportive [PERIOD]
ambitious [AND] supportive [AND] cooperative [IMPLY] bright [PERIOD]
lonely [AND] cooperative [AND] elegant [IMPLY] supportive [PERIOD]
ambitious [AND] wandering [AND] bright [IMPLY] elegant [PERIOD]
ambitious [AND] lonely [IMPLY] wandering [PERIOD]
wandering [AND] elegant [AND] supportive [IMPLY] cooperative [PERIOD]
supportive [AND] lonely [IMPLY] wandering [PERIOD]
lonely [AND] bright [IMPLY] cooperative [PERIOD]
wandering [AND] bright [AND] cooperative [IMPLY] supportive [PERIOD]
wandering [IMPLY] bright [PERIOD]
lonely [AND] cooperative [IMPLY] bright [PERIOD]
lonely [AND] elegant [IMPLY] wandering [PERIOD]
elegant [AND] supportive [AND] lonely [IMPLY] bright [PERIOD]
cooperative [AND] ambitious [IMPLY] supportive [PERIOD]
ambitious [AND] elegant [AND] supportive [IMPLY] wandering [PERIOD]
ambitious [AND] supportive [AND] cooperative [IMPLY] elegant [PERIOD]
cooperative [AND] supportive [AND] bright [IMPLY] lonely [PERIOD]
cooperative [AND] supportive [IMPLY] elegant [PERIOD]
elegant [AND] cooperative [IMPLY] lonely [PERIOD]
lonely [AND] ambitious [AND] bright [IMPLY] supportive [PERIOD]
ambitious [AND] supportive [IMPLY] wandering [PERIOD]
bright [AND] elegant [AND] cooperative [IMPLY] supportive [PERIOD]
elegant [AND] cooperative [AND] bright [IMPLY] lonely [PERIOD]
supportive [IMPLY] wandering [PERIOD]
supportive [IMPLY] elegant [PERIOD]
wandering [AND] elegant [AND] bright [IMPLY] ambitious [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   Cannot apply rule “elegant ⇒ supportive” because missing: elegant.
   Cannot apply rule “lonely ∧ cooperative ∧ elegant ⇒ supportive” because missing: lonely, cooperative, elegant.
   Cannot apply rule “wandering ∧ bright ∧ cooperative ⇒ supportive” because missing: wandering, bright, cooperative.
   Cannot apply rule “cooperative ∧ ambitious ⇒ supportive” because missing: cooperative, ambitious.
   Cannot apply rule “lonely ∧ ambitious ∧ bright ⇒ supportive” because missing: lonely, ambitious, bright.
   Cannot apply rule “bright ∧ elegant ∧ cooperative ⇒ supportive” because missing: bright, elegant, cooperative.
",0,6
"Facts:  Alice is proud [PERIOD] Alice is dishonest [PERIOD] Alice is disobedient [PERIOD] Alice is bright [PERIOD]
Rules:
worried [AND] friendly [AND] sleepy [IMPLY] serious [PERIOD]
friendly [AND] proud [AND] broad-minded [IMPLY] light [PERIOD]
clean [AND] light [IMPLY] confused [PERIOD]
broad-minded [IMPLY] disobedient [PERIOD]
bright [AND] clean [AND] average [IMPLY] courageous [PERIOD]
inexpensive [AND] confused [IMPLY] worried [PERIOD]
inexpensive [IMPLY] confused [PERIOD]
worried [IMPLY] average [PERIOD]
inexpensive [AND] combative [AND] clean [IMPLY] courageous [PERIOD]
average [AND] light [AND] combative [IMPLY] courageous [PERIOD]
proud [AND] inexpensive [IMPLY] bright [PERIOD]
proud [AND] courageous [IMPLY] disobedient [PERIOD]
worried [AND] sleepy [AND] serious [IMPLY] courageous [PERIOD]
broad-minded [AND] combative [AND] proud [IMPLY] clean [PERIOD]
inexpensive [IMPLY] dishonest [PERIOD]
disobedient [AND] broad-minded [AND] serious [IMPLY] clean [PERIOD]
confused [AND] average [IMPLY] broad-minded [PERIOD]
dishonest [IMPLY] clean [PERIOD]
light [AND] confused [AND] serious [IMPLY] dishonest [PERIOD]
inexpensive [IMPLY] clean [PERIOD]
sleepy [AND] disobedient [IMPLY] clean [PERIOD]
disobedient [IMPLY] sleepy [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   No rule concludes “friendly.”
",0,1
"Facts:  Alice is broad-minded [PERIOD]
Rules:
gleaming [AND] sensible [IMPLY] disgusted [PERIOD]
plain [AND] bad-tempered [IMPLY] sensible [PERIOD]
bad-tempered [AND] elated [AND] stormy [IMPLY] troubled [PERIOD]
stormy [AND] precious [IMPLY] tender [PERIOD]
elated [AND] naughty [AND] stormy [IMPLY] sensible [PERIOD]
naughty [IMPLY] amused [PERIOD]
plain [AND] amused [IMPLY] stormy [PERIOD]
ambitious [AND] troubled [IMPLY] disgusted [PERIOD]
cute [AND] sincere [AND] bad-tempered [IMPLY] elated [PERIOD]
plain [IMPLY] tender [PERIOD]
elated [AND] sincere [AND] gleaming [IMPLY] bored [PERIOD]
amused [AND] ambitious [IMPLY] gleaming [PERIOD]
amused [IMPLY] broad-minded [PERIOD]
elated [AND] bored [AND] disgusted [IMPLY] lucky [PERIOD]
sensible [IMPLY] disgusted [PERIOD]
troubled [AND] plain [AND] broad-minded [IMPLY] lucky [PERIOD]
uptight [AND] broad-minded [IMPLY] stormy [PERIOD]
disgusted [IMPLY] tidy [PERIOD]
uptight [AND] tender [AND] sincere [IMPLY] gleaming [PERIOD]
troubled [AND] cute [AND] precious [IMPLY] uptight [PERIOD]
ambitious [AND] elated [IMPLY] lucky [PERIOD]
stormy [AND] naughty [AND] lucky [IMPLY] strange [PERIOD]
bored [IMPLY] disgusted [PERIOD]
strange [AND] elated [IMPLY] ambitious [PERIOD]
disgusted [AND] tidy [AND] plain [IMPLY] stormy [PERIOD]
ambitious [AND] disgusted [AND] troubled [IMPLY] sensible [PERIOD]
tidy [AND] lucky [AND] strange [IMPLY] uptight [PERIOD]
tidy [AND] amused [IMPLY] plain [PERIOD]
sensible [IMPLY] broad-minded [PERIOD]
disgusted [AND] strange [IMPLY] cute [PERIOD]
cute [AND] uptight [IMPLY] tender [PERIOD]
bad-tempered [AND] broad-minded [IMPLY] lucky [PERIOD]
lucky [AND] sincere [AND] disgusted [IMPLY] stormy [PERIOD]
broad-minded [IMPLY] bored [PERIOD]
sensible [AND] amused [IMPLY] elated [PERIOD]
disgusted [AND] amused [IMPLY] cute [PERIOD]
lucky [IMPLY] bad-tempered [PERIOD]
uptight [AND] tender [IMPLY] naughty [PERIOD]
disgusted [IMPLY] plain [PERIOD]
troubled [AND] tender [IMPLY] cute [PERIOD]
lucky [AND] gleaming [IMPLY] troubled [PERIOD]
amused [AND] gleaming [AND] strange [IMPLY] sincere [PERIOD]
cute [IMPLY] elated [PERIOD]
troubled [AND] elated [AND] tender [IMPLY] bad-tempered [PERIOD]
gleaming [IMPLY] tidy [PERIOD]
bored [AND] sincere [IMPLY] lucky [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   Cannot apply rule “troubled ∧ cute ∧ precious ⇒ uptight” because missing: troubled, cute, precious.
   broad-minded ⇒ bored
   bored ⇒ disgusted
   disgusted ⇒ tidy
   Cannot apply rule “tidy ∧ lucky ∧ strange ⇒ uptight” because missing: lucky, strange.
",0,5
"Facts:  Alice is gleaming [PERIOD] Alice is quaint [PERIOD]
Rules:
good [IMPLY] frightened [PERIOD]
friendly [AND] gleaming [AND] blushing [IMPLY] bad-tempered [PERIOD]
quaint [AND] frightened [IMPLY] elegant [PERIOD]
friendly [IMPLY] elegant [PERIOD]
friendly [IMPLY] blushing [PERIOD]
quaint [IMPLY] careless [PERIOD]
friendly [AND] careless [AND] good [IMPLY] blushing [PERIOD]
elegant [AND] good [AND] frightened [IMPLY] blushing [PERIOD]
bad-tempered [AND] good [IMPLY] quaint [PERIOD]
elegant [AND] good [AND] frightened [IMPLY] rude [PERIOD]
frightened [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] blushing [PERIOD]
frightened [IMPLY] friendly [PERIOD]
careless [AND] ambitious [IMPLY] gleaming [PERIOD]
ambitious [AND] good [IMPLY] elegant [PERIOD]
frightened [AND] ambitious [IMPLY] quaint [PERIOD]
bad-tempered [IMPLY] rude [PERIOD]
elegant [IMPLY] bad-tempered [PERIOD]
good [IMPLY] elegant [PERIOD]
frightened [AND] careless [IMPLY] gleaming [PERIOD]
quaint [AND] frightened [AND] careless [IMPLY] gleaming [PERIOD]
friendly [AND] rude [IMPLY] blushing [PERIOD]
quaint [AND] bad-tempered [AND] ambitious [IMPLY] blushing [PERIOD]
ambitious [IMPLY] bad-tempered [PERIOD]
blushing [AND] gleaming [AND] quaint [IMPLY] careless [PERIOD]
frightened [AND] quaint [AND] gleaming [IMPLY] careless [PERIOD]
frightened [AND] gleaming [AND] elegant [IMPLY] good [PERIOD]
blushing [AND] ambitious [AND] quaint [IMPLY] friendly [PERIOD]
gleaming [AND] elegant [AND] rude [IMPLY] frightened [PERIOD]
good [AND] careless [AND] gleaming [IMPLY] friendly [PERIOD]
elegant [AND] ambitious [AND] blushing [IMPLY] gleaming [PERIOD]
gleaming [IMPLY] rude [PERIOD]
quaint [IMPLY] elegant [PERIOD]
frightened [AND] gleaming [IMPLY] blushing [PERIOD]
gleaming [AND] friendly [AND] good [IMPLY] bad-tempered [PERIOD]
blushing [AND] bad-tempered [AND] frightened [IMPLY] quaint [PERIOD]
quaint [AND] careless [IMPLY] frightened [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   quaint ⇒ careless
   quaint ∧ careless ⇒ frightened
   frightened ⇒ ambitious
",1,3
"Facts:  Alice is difficult [PERIOD] Alice is charming [PERIOD] Alice is rude [PERIOD]
Rules:
ambitious [AND] diplomatic [AND] thoughtless [IMPLY] zealous [PERIOD]
dull [AND] frantic [IMPLY] diplomatic [PERIOD]
excited [AND] worried [AND] inexpensive [IMPLY] zealous [PERIOD]
confident [IMPLY] frantic [PERIOD]
victorious [AND] ambitious [IMPLY] diplomatic [PERIOD]
zealous [IMPLY] diplomatic [PERIOD]
inexpensive [AND] difficult [AND] frantic [IMPLY] rude [PERIOD]
excited [AND] thoughtless [AND] rude [IMPLY] dull [PERIOD]
worried [IMPLY] thoughtless [PERIOD]
inexpensive [IMPLY] dull [PERIOD]
victorious [AND] charming [IMPLY] thoughtless [PERIOD]
courageous [AND] sincere [IMPLY] confused [PERIOD]
inexpensive [AND] confident [AND] proud [IMPLY] outrageous [PERIOD]
courageous [AND] confident [IMPLY] frantic [PERIOD]
thoughtless [AND] inexpensive [AND] difficult [IMPLY] victorious [PERIOD]
outrageous [AND] charming [IMPLY] diplomatic [PERIOD]
diplomatic [IMPLY] courageous [PERIOD]
charming [AND] victorious [IMPLY] curious [PERIOD]
outrageous [AND] zealous [AND] courageous [IMPLY] charming [PERIOD]
rude [IMPLY] outrageous [PERIOD]
thoughtless [AND] outrageous [AND] victorious [IMPLY] zealous [PERIOD]
curious [IMPLY] inexpensive [PERIOD]
worried [AND] victorious [AND] charming [IMPLY] thoughtless [PERIOD]
excited [IMPLY] sincere [PERIOD]
frantic [AND] curious [AND] sincere [IMPLY] thoughtless [PERIOD]
proud [IMPLY] confused [PERIOD]
rude [AND] inexpensive [AND] sincere [IMPLY] worried [PERIOD]
zealous [AND] ambitious [AND] frantic [IMPLY] sincere [PERIOD]
courageous [AND] excited [AND] confident [IMPLY] frantic [PERIOD]
curious [AND] inexpensive [IMPLY] rude [PERIOD]
diplomatic [IMPLY] dull [PERIOD]
sincere [AND] courageous [AND] proud [IMPLY] frantic [PERIOD]
excited [IMPLY] zealous [PERIOD]
confused [AND] confident [AND] diplomatic [IMPLY] frantic [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
   rude ⇒ outrageous
   outrageous ∧ charming ⇒ diplomatic
   Cannot apply rule “ambitious ∧ diplomatic ∧ thoughtless ⇒ zealous” because missing: ambitious, thoughtless.
   Cannot apply rule “excited ∧ worried ∧ inexpensive ⇒ zealous” because missing: excited, worried, inexpensive.
   rude ⇒ outrageous
   Cannot apply rule “thoughtless ∧ outrageous ∧ victorious ⇒ zealous” because missing: thoughtless, victorious.
   Cannot apply rule “excited ⇒ zealous” because missing: excited.
",0,7
"Facts:  Alice is bossy [PERIOD] Alice is distinct [PERIOD] Alice is innocent [PERIOD] Alice is uptight [PERIOD] Alice is jittery [PERIOD] Alice is tidy [PERIOD] Alice is cute [PERIOD]
Rules:
zealous [IMPLY] gifted [PERIOD]
worried [AND] elegant [AND] jittery [IMPLY] diplomatic [PERIOD]
foolish [AND] sensible [AND] diplomatic [IMPLY] friendly [PERIOD]
vivacious [IMPLY] anxious [PERIOD]
old-fashioned [AND] sensible [AND] diplomatic [IMPLY] talkative [PERIOD]
broad-minded [AND] rude [AND] jittery [IMPLY] joyous [PERIOD]
jittery [AND] talkative [IMPLY] sensible [PERIOD]
rude [IMPLY] sensible [PERIOD]
courageous [AND] easy [AND] talkative [IMPLY] broad-minded [PERIOD]
joyous [IMPLY] zealous [PERIOD]
anxious [AND] elegant [AND] foolish [IMPLY] gleaming [PERIOD]
innocent [AND] sensible [IMPLY] diplomatic [PERIOD]
worrisome [AND] lonely [AND] foolish [IMPLY] zealous [PERIOD]
friendly [AND] distinct [IMPLY] diplomatic [PERIOD]
bossy [IMPLY] worrisome [PERIOD]
cute [IMPLY] vivacious [PERIOD]
lonely [AND] adorable [AND] friendly [IMPLY] uptight [PERIOD]
disgusted [AND] uptight [IMPLY] anxious [PERIOD]
easy [AND] innocent [AND] zealous [IMPLY] vivacious [PERIOD]
innocent [AND] joyous [AND] cute [IMPLY] adorable [PERIOD]
innocent [AND] lonely [AND] gifted [IMPLY] bossy [PERIOD]
old-fashioned [AND] distinct [AND] innocent [IMPLY] courageous [PERIOD]
foolish [AND] zealous [IMPLY] adorable [PERIOD]
cute [AND] sensible [IMPLY] vivacious [PERIOD]
anxious [AND] worried [AND] bossy [IMPLY] easy [PERIOD]
tidy [AND] old-fashioned [AND] selfish [IMPLY] lonely [PERIOD]
diplomatic [IMPLY] bossy [PERIOD]
worried [IMPLY] vivacious [PERIOD]
uptight [IMPLY] courageous [PERIOD]
bossy [AND] innocent [IMPLY] worried [PERIOD]
joyous [AND] bossy [IMPLY] sensible [PERIOD]
tidy [AND] worried [AND] anxious [IMPLY] foolish [PERIOD]
selfish [AND] friendly [IMPLY] tidy [PERIOD]
zealous [IMPLY] diplomatic [PERIOD]
disgusted [AND] elegant [AND] gifted [IMPLY] vivacious [PERIOD]
distinct [AND] tidy [AND] uptight [IMPLY] easy [PERIOD]
lonely [AND] rude [AND] jittery [IMPLY] talkative [PERIOD]
lonely [IMPLY] selfish [PERIOD]
innocent [IMPLY] adorable [PERIOD]
gifted [AND] gleaming [IMPLY] cute [PERIOD]
zealous [AND] lonely [AND] bossy [IMPLY] courageous [PERIOD]
anxious [AND] distinct [IMPLY] foolish [PERIOD]
adorable [AND] zealous [IMPLY] joyous [PERIOD]
gleaming [AND] uptight [IMPLY] tidy [PERIOD]
bossy [IMPLY] zealous [PERIOD]
anxious [AND] lonely [IMPLY] sensible [PERIOD]
innocent [IMPLY] friendly [PERIOD]
worried [AND] lonely [IMPLY] broad-minded [PERIOD]
old-fashioned [IMPLY] easy [PERIOD]
disgusted [AND] gleaming [IMPLY] lonely [PERIOD]
adorable [AND] uptight [IMPLY] diplomatic [PERIOD]
worrisome [AND] anxious [AND] adorable [IMPLY] cute [PERIOD]
courageous [IMPLY] joyous [PERIOD]
worrisome [AND] adorable [IMPLY] jittery [PERIOD]
courageous [IMPLY] selfish [PERIOD]
innocent [AND] courageous [IMPLY] rude [PERIOD]
bossy [AND] joyous [IMPLY] elegant [PERIOD]
gleaming [AND] foolish [IMPLY] sensible [PERIOD]
easy [AND] joyous [IMPLY] zealous [PERIOD]
innocent [AND] tidy [IMPLY] selfish [PERIOD]
disgusted [AND] cute [AND] broad-minded [IMPLY] distinct [PERIOD]
gifted [AND] cute [AND] tidy [IMPLY] uptight [PERIOD]
cute [AND] talkative [IMPLY] bossy [PERIOD]
courageous [AND] selfish [AND] distinct [IMPLY] innocent [PERIOD]
anxious [AND] worrisome [IMPLY] adorable [PERIOD]
zealous [AND] diplomatic [AND] talkative [IMPLY] jittery [PERIOD]
diplomatic [AND] disgusted [AND] old-fashioned [IMPLY] bossy [PERIOD]
bossy [AND] jittery [IMPLY] foolish [PERIOD]
elegant [IMPLY] broad-minded [PERIOD]
elegant [AND] selfish [AND] foolish [IMPLY] joyous [PERIOD]
sensible [AND] joyous [IMPLY] anxious [PERIOD]
zealous [AND] vivacious [AND] innocent [IMPLY] elegant [PERIOD]
elegant [AND] cute [AND] selfish [IMPLY] lonely [PERIOD]
sensible [IMPLY] worrisome [PERIOD]
anxious [AND] bossy [AND] broad-minded [IMPLY] distinct [PERIOD]
courageous [IMPLY] easy [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   cute ⇒ vivacious
   vivacious ⇒ anxious
",1,2
"Facts:  Alice is tame [PERIOD] Alice is jittery [PERIOD]
Rules:
tame [IMPLY] tired [PERIOD]
jittery [AND] loving [AND] innocent [IMPLY] tender [PERIOD]
tired [AND] sincere [IMPLY] frightened [PERIOD]
sincere [AND] frightened [IMPLY] jittery [PERIOD]
loving [AND] jittery [IMPLY] quaint [PERIOD]
jittery [IMPLY] quaint [PERIOD]
loving [AND] homely [AND] tender [IMPLY] tired [PERIOD]
jittery [AND] adorable [IMPLY] loving [PERIOD]
sincere [AND] frightened [IMPLY] tired [PERIOD]
tender [AND] frightened [IMPLY] loving [PERIOD]
quaint [AND] confident [IMPLY] sincere [PERIOD]
frightened [IMPLY] homely [PERIOD]
quaint [AND] sincere [AND] innocent [IMPLY] confident [PERIOD]
quaint [AND] jittery [IMPLY] tame [PERIOD]
elated [AND] adorable [IMPLY] lucky [PERIOD]
tired [IMPLY] confident [PERIOD]
homely [AND] tender [IMPLY] sincere [PERIOD]
jittery [AND] tender [IMPLY] tired [PERIOD]
tender [AND] jittery [IMPLY] tame [PERIOD]
frightened [IMPLY] troubled [PERIOD]
adorable [IMPLY] tender [PERIOD]
tired [AND] frightened [IMPLY] troubled [PERIOD]
jittery [AND] tender [AND] loving [IMPLY] tame [PERIOD]
lucky [AND] innocent [AND] tender [IMPLY] troubled [PERIOD]
tame [AND] quaint [IMPLY] tender [PERIOD]
elated [AND] frightened [IMPLY] quaint [PERIOD]
innocent [AND] confident [IMPLY] loving [PERIOD]
lucky [AND] sincere [AND] homely [IMPLY] jittery [PERIOD]
lucky [AND] loving [AND] quaint [IMPLY] frightened [PERIOD]
homely [AND] innocent [IMPLY] quaint [PERIOD]
tired [AND] jittery [AND] elated [IMPLY] loving [PERIOD]
loving [IMPLY] lucky [PERIOD]
homely [AND] elated [AND] troubled [IMPLY] quaint [PERIOD]
elated [IMPLY] tired [PERIOD]
tender [AND] tame [AND] jittery [IMPLY] frightened [PERIOD]
innocent [AND] lucky [IMPLY] quaint [PERIOD]
tender [AND] frightened [IMPLY] jittery [PERIOD]
homely [AND] quaint [AND] tame [IMPLY] frightened [PERIOD]
adorable [AND] confident [IMPLY] homely [PERIOD]
elated [IMPLY] loving [PERIOD]
elated [AND] tame [AND] frightened [IMPLY] sincere [PERIOD]
innocent [AND] tired [AND] frightened [IMPLY] elated [PERIOD]
jittery [IMPLY] homely [PERIOD]
confident [IMPLY] homely [PERIOD]
troubled [IMPLY] tame [PERIOD]
elated [AND] adorable [IMPLY] loving [PERIOD]
lucky [AND] loving [AND] frightened [IMPLY] quaint [PERIOD]
homely [AND] jittery [IMPLY] sincere [PERIOD]
tender [IMPLY] loving [PERIOD]
homely [AND] adorable [IMPLY] sincere [PERIOD]
frightened [AND] lucky [AND] tender [IMPLY] homely [PERIOD]
tired [AND] troubled [IMPLY] sincere [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   jittery ⇒ quaint
   tame ∧ quaint ⇒ tender
",1,2
"Facts:  Alice is horrible [PERIOD]
Rules:
disgusted [AND] elated [IMPLY] ugliest [PERIOD]
elated [AND] horrible [AND] beautiful [IMPLY] disgusted [PERIOD]
disgusted [AND] elated [AND] beautiful [IMPLY] ugliest [PERIOD]
ugliest [AND] elated [AND] beautiful [IMPLY] disgusted [PERIOD]
horrible [AND] disgusted [AND] beautiful [IMPLY] ugliest [PERIOD]
beautiful [AND] disgusted [AND] ugliest [IMPLY] elated [PERIOD]
ugliest [AND] disgusted [AND] beautiful [IMPLY] horrible [PERIOD]
beautiful [IMPLY] ugliest [PERIOD]
elated [AND] horrible [IMPLY] ugliest [PERIOD]
disgusted [AND] horrible [IMPLY] beautiful [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
   Cannot apply rule “disgusted ∧ elated ⇒ ugliest” because missing: disgusted, elated.
   Cannot apply rule “disgusted ∧ elated ∧ beautiful ⇒ ugliest” because missing: disgusted, elated, beautiful.
   Cannot apply rule “horrible ∧ disgusted ∧ beautiful ⇒ ugliest” because missing: disgusted, beautiful.
   Cannot apply rule “beautiful ⇒ ugliest” because missing: beautiful.
   Cannot apply rule “elated ∧ horrible ⇒ ugliest” because missing: elated.
",0,5
"Facts:  Alice is cute [PERIOD] Alice is frightened [PERIOD] Alice is messy [PERIOD] Alice is broad-minded [PERIOD] Alice is confident [PERIOD]
Rules:
frightened [AND] broad-minded [IMPLY] cute [PERIOD]
frightened [AND] smart [IMPLY] bossy [PERIOD]
frightened [AND] messy [AND] bossy [IMPLY] cute [PERIOD]
clumsy [AND] cute [IMPLY] broad-minded [PERIOD]
confident [IMPLY] messy [PERIOD]
clumsy [AND] broad-minded [IMPLY] bossy [PERIOD]
smart [AND] broad-minded [IMPLY] confident [PERIOD]
broad-minded [IMPLY] messy [PERIOD]
bossy [AND] broad-minded [AND] cute [IMPLY] frightened [PERIOD]
worrisome [AND] broad-minded [IMPLY] smart [PERIOD]
bossy [AND] smart [AND] cute [IMPLY] frightened [PERIOD]
clumsy [AND] broad-minded [IMPLY] frightened [PERIOD]
confident [AND] worrisome [AND] messy [IMPLY] bossy [PERIOD]
frightened [IMPLY] smart [PERIOD]
broad-minded [AND] confident [IMPLY] clumsy [PERIOD]
messy [AND] confident [AND] cute [IMPLY] frightened [PERIOD]
bossy [IMPLY] confident [PERIOD]
broad-minded [AND] confident [AND] smart [IMPLY] frightened [PERIOD]
messy [AND] confident [IMPLY] broad-minded [PERIOD]
confident [AND] frightened [AND] cute [IMPLY] broad-minded [PERIOD]
Query: Alice is smart [PERIOD]","Proof chain:
   frightened ⇒ smart
",1,1
"Facts:  Alice is fearless [PERIOD] Alice is cute [PERIOD]
Rules:
bored [AND] cute [AND] excited [IMPLY] precious [PERIOD]
helpless [AND] cruel [IMPLY] light [PERIOD]
excited [AND] fearless [AND] bored [IMPLY] foolish [PERIOD]
excited [AND] cute [IMPLY] bored [PERIOD]
excited [IMPLY] cruel [PERIOD]
cute [AND] helpful [AND] foolish [IMPLY] cruel [PERIOD]
cruel [IMPLY] helpless [PERIOD]
helpless [IMPLY] cruel [PERIOD]
precious [AND] bored [AND] helpless [IMPLY] foolish [PERIOD]
cruel [IMPLY] fearless [PERIOD]
cute [AND] foolish [IMPLY] bored [PERIOD]
bored [AND] helpless [AND] foolish [IMPLY] light [PERIOD]
helpless [AND] foolish [AND] fearless [IMPLY] cute [PERIOD]
cruel [AND] cute [AND] precious [IMPLY] helpful [PERIOD]
light [AND] cute [IMPLY] precious [PERIOD]
bored [AND] cruel [IMPLY] excited [PERIOD]
foolish [AND] helpless [AND] fearless [IMPLY] helpful [PERIOD]
helpless [IMPLY] foolish [PERIOD]
fearless [IMPLY] light [PERIOD]
foolish [AND] helpful [IMPLY] bored [PERIOD]
light [AND] foolish [IMPLY] cute [PERIOD]
bored [AND] light [IMPLY] cute [PERIOD]
cute [AND] excited [AND] light [IMPLY] bored [PERIOD]
fearless [AND] helpless [IMPLY] cruel [PERIOD]
excited [AND] bored [IMPLY] fearless [PERIOD]
excited [AND] fearless [IMPLY] helpful [PERIOD]
bored [AND] cute [IMPLY] light [PERIOD]
bored [IMPLY] foolish [PERIOD]
cute [AND] bored [IMPLY] fearless [PERIOD]
helpful [AND] fearless [AND] foolish [IMPLY] precious [PERIOD]
helpless [AND] excited [AND] precious [IMPLY] helpful [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   Cannot apply rule “excited ∧ fearless ∧ bored ⇒ foolish” because missing: excited, bored.
   fearless ⇒ light
   light ∧ cute ⇒ precious
   Cannot apply rule “precious ∧ bored ∧ helpless ⇒ foolish” because missing: bored, helpless.
   Cannot apply rule “helpless ⇒ foolish” because missing: helpless.
   Cannot apply rule “bored ⇒ foolish” because missing: bored.
",0,6
"Facts:  Alice is lucky [PERIOD]
Rules:
hilarious [IMPLY] nervous [PERIOD]
troubled [AND] lucky [AND] versatile [IMPLY] reserved [PERIOD]
lonely [AND] hilarious [IMPLY] troubled [PERIOD]
lonely [AND] nervous [IMPLY] lucky [PERIOD]
lucky [AND] hilarious [AND] nervous [IMPLY] troubled [PERIOD]
reserved [IMPLY] troubled [PERIOD]
reserved [IMPLY] lucky [PERIOD]
lonely [AND] troubled [AND] reserved [IMPLY] hilarious [PERIOD]
troubled [AND] gifted [IMPLY] reserved [PERIOD]
troubled [AND] reserved [IMPLY] nervous [PERIOD]
reserved [AND] hilarious [AND] troubled [IMPLY] lucky [PERIOD]
nervous [AND] reserved [IMPLY] gifted [PERIOD]
versatile [AND] lucky [IMPLY] hilarious [PERIOD]
lonely [IMPLY] reserved [PERIOD]
hilarious [AND] nervous [AND] lonely [IMPLY] troubled [PERIOD]
reserved [AND] versatile [AND] gifted [IMPLY] hilarious [PERIOD]
reserved [AND] nervous [IMPLY] hilarious [PERIOD]
reserved [AND] gifted [IMPLY] lucky [PERIOD]
lucky [AND] troubled [IMPLY] reserved [PERIOD]
lucky [AND] lonely [AND] hilarious [IMPLY] troubled [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
   Cannot apply rule “troubled ∧ lucky ∧ versatile ⇒ reserved” because missing: troubled, versatile.
   Cannot apply rule “troubled ∧ gifted ⇒ reserved” because missing: troubled, gifted.
   Cannot apply rule “lonely ⇒ reserved” because missing: lonely.
   Cannot apply rule “lucky ∧ troubled ⇒ reserved” because missing: troubled.
",0,4
"Facts:  Alice is courageous [PERIOD] Alice is popular [PERIOD] Alice is excited [PERIOD] Alice is bored [PERIOD] Alice is charming [PERIOD] Alice is fragile [PERIOD] Alice is perfect [PERIOD] Alice is inexpensive [PERIOD] Alice is shy [PERIOD] Alice is worrisome [PERIOD] Alice is beautiful [PERIOD] Alice is famous [PERIOD] Alice is fearless [PERIOD] Alice is talented [PERIOD] Alice is sincere [PERIOD] Alice is witty [PERIOD] Alice is grumpy [PERIOD]
Rules:
excited [AND] witty [IMPLY] worrisome [PERIOD]
shy [AND] grumpy [AND] worrisome [IMPLY] popular [PERIOD]
worrisome [AND] courageous [AND] inexpensive [IMPLY] excited [PERIOD]
excited [AND] popular [IMPLY] worrisome [PERIOD]
famous [IMPLY] courageous [PERIOD]
excited [AND] sincere [AND] charming [IMPLY] shy [PERIOD]
famous [AND] shy [IMPLY] witty [PERIOD]
sincere [AND] witty [IMPLY] grumpy [PERIOD]
courageous [AND] inexpensive [AND] bored [IMPLY] fearless [PERIOD]
excited [IMPLY] sincere [PERIOD]
charming [IMPLY] beautiful [PERIOD]
fearless [AND] bored [IMPLY] excited [PERIOD]
worrisome [AND] famous [AND] charming [IMPLY] beautiful [PERIOD]
bored [AND] excited [IMPLY] witty [PERIOD]
courageous [AND] excited [AND] talented [IMPLY] bored [PERIOD]
beautiful [AND] witty [IMPLY] grumpy [PERIOD]
talented [AND] fragile [AND] courageous [IMPLY] grumpy [PERIOD]
fragile [AND] talented [IMPLY] witty [PERIOD]
talented [IMPLY] perfect [PERIOD]
talented [AND] worrisome [IMPLY] charming [PERIOD]
shy [AND] courageous [IMPLY] fragile [PERIOD]
beautiful [AND] worrisome [IMPLY] fearless [PERIOD]
talented [AND] worrisome [IMPLY] beautiful [PERIOD]
perfect [AND] beautiful [IMPLY] fearless [PERIOD]
talented [AND] grumpy [AND] worrisome [IMPLY] inexpensive [PERIOD]
shy [IMPLY] bored [PERIOD]
talented [AND] fearless [IMPLY] grumpy [PERIOD]
charming [IMPLY] grumpy [PERIOD]
famous [AND] popular [AND] courageous [IMPLY] worrisome [PERIOD]
sincere [IMPLY] popular [PERIOD]
sincere [AND] perfect [IMPLY] inexpensive [PERIOD]
excited [AND] bored [AND] charming [IMPLY] grumpy [PERIOD]
talented [IMPLY] fragile [PERIOD]
excited [IMPLY] worrisome [PERIOD]
talented [AND] charming [AND] bored [IMPLY] perfect [PERIOD]
talented [AND] perfect [AND] popular [IMPLY] witty [PERIOD]
bored [IMPLY] shy [PERIOD]
inexpensive [AND] fearless [AND] popular [IMPLY] beautiful [PERIOD]
courageous [AND] sincere [AND] shy [IMPLY] grumpy [PERIOD]
inexpensive [AND] witty [AND] shy [IMPLY] famous [PERIOD]
excited [AND] perfect [AND] grumpy [IMPLY] charming [PERIOD]
popular [AND] worrisome [IMPLY] excited [PERIOD]
grumpy [AND] excited [AND] fearless [IMPLY] popular [PERIOD]
inexpensive [IMPLY] charming [PERIOD]
beautiful [AND] popular [IMPLY] fearless [PERIOD]
perfect [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] excited [PERIOD]
witty [AND] worrisome [AND] popular [IMPLY] fragile [PERIOD]
inexpensive [IMPLY] worrisome [PERIOD]
sincere [AND] excited [IMPLY] courageous [PERIOD]
charming [AND] courageous [AND] perfect [IMPLY] grumpy [PERIOD]
beautiful [AND] charming [AND] excited [IMPLY] fearless [PERIOD]
courageous [AND] excited [IMPLY] perfect [PERIOD]
beautiful [IMPLY] worrisome [PERIOD]
excited [AND] worrisome [AND] courageous [IMPLY] talented [PERIOD]
inexpensive [AND] bored [AND] courageous [IMPLY] perfect [PERIOD]
fragile [AND] witty [IMPLY] perfect [PERIOD]
courageous [AND] sincere [IMPLY] fearless [PERIOD]
talented [IMPLY] popular [PERIOD]
witty [AND] beautiful [AND] excited [IMPLY] courageous [PERIOD]
talented [AND] charming [IMPLY] popular [PERIOD]
courageous [AND] excited [IMPLY] bored [PERIOD]
courageous [AND] popular [IMPLY] fearless [PERIOD]
perfect [IMPLY] sincere [PERIOD]
famous [IMPLY] shy [PERIOD]
grumpy [IMPLY] sincere [PERIOD]
charming [AND] beautiful [AND] sincere [IMPLY] grumpy [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is easy [PERIOD] Alice is comfortable [PERIOD] Alice is calm [PERIOD] Alice is helpful [PERIOD] Alice is curious [PERIOD] Alice is stubborn [PERIOD] Alice is modern [PERIOD]
Rules:
broad-minded [IMPLY] helpful [PERIOD]
fearless [AND] frail [AND] supportive [IMPLY] stubborn [PERIOD]
modern [AND] unpleasant [AND] famous [IMPLY] curious [PERIOD]
clumsy [AND] comfortable [AND] famous [IMPLY] modern [PERIOD]
calm [AND] stubborn [AND] clumsy [IMPLY] frail [PERIOD]
comfortable [AND] fearless [AND] frail [IMPLY] sleepy [PERIOD]
modern [AND] sincere [AND] famous [IMPLY] curious [PERIOD]
sincere [IMPLY] clumsy [PERIOD]
stubborn [AND] clumsy [IMPLY] fearless [PERIOD]
stupid [AND] inquisitive [IMPLY] helpful [PERIOD]
attentive [AND] inquisitive [AND] modern [IMPLY] stubborn [PERIOD]
fearless [IMPLY] broad-minded [PERIOD]
easy [IMPLY] modern [PERIOD]
sincere [AND] intellectual [IMPLY] frail [PERIOD]
clumsy [AND] famous [IMPLY] broad-minded [PERIOD]
supportive [AND] stubborn [AND] frail [IMPLY] modern [PERIOD]
sleepy [AND] helpful [IMPLY] attentive [PERIOD]
supportive [AND] curious [IMPLY] modern [PERIOD]
comfortable [AND] easy [IMPLY] supportive [PERIOD]
stupid [AND] clumsy [IMPLY] famous [PERIOD]
light [AND] helpful [AND] inquisitive [IMPLY] stupid [PERIOD]
frail [IMPLY] modern [PERIOD]
unpleasant [AND] frail [AND] calm [IMPLY] stubborn [PERIOD]
frail [AND] easy [AND] calm [IMPLY] fearless [PERIOD]
curious [IMPLY] calm [PERIOD]
attentive [AND] comfortable [IMPLY] unpleasant [PERIOD]
broad-minded [AND] modern [AND] helpful [IMPLY] curious [PERIOD]
inquisitive [AND] comfortable [AND] stubborn [IMPLY] attentive [PERIOD]
unpleasant [AND] stupid [IMPLY] helpful [PERIOD]
frail [IMPLY] curious [PERIOD]
helpful [AND] intellectual [IMPLY] fearless [PERIOD]
fearless [IMPLY] inquisitive [PERIOD]
famous [AND] fearless [IMPLY] stubborn [PERIOD]
inquisitive [AND] easy [IMPLY] stupid [PERIOD]
unpleasant [AND] frail [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] frail [PERIOD]
fearless [AND] broad-minded [AND] sincere [IMPLY] curious [PERIOD]
helpful [AND] fearless [IMPLY] sleepy [PERIOD]
inquisitive [IMPLY] calm [PERIOD]
calm [IMPLY] curious [PERIOD]
sleepy [IMPLY] stubborn [PERIOD]
inquisitive [AND] attentive [AND] curious [IMPLY] easy [PERIOD]
easy [AND] supportive [AND] unpleasant [IMPLY] clumsy [PERIOD]
inquisitive [IMPLY] helpful [PERIOD]
frail [AND] stupid [IMPLY] sleepy [PERIOD]
sleepy [IMPLY] intellectual [PERIOD]
broad-minded [AND] intellectual [IMPLY] curious [PERIOD]
intellectual [AND] stubborn [IMPLY] supportive [PERIOD]
unpleasant [AND] famous [IMPLY] sleepy [PERIOD]
modern [AND] clumsy [IMPLY] comfortable [PERIOD]
intellectual [IMPLY] comfortable [PERIOD]
supportive [IMPLY] broad-minded [PERIOD]
inquisitive [AND] broad-minded [IMPLY] curious [PERIOD]
clumsy [AND] light [IMPLY] sincere [PERIOD]
calm [IMPLY] supportive [PERIOD]
unpleasant [AND] helpful [IMPLY] sleepy [PERIOD]
sincere [AND] frail [IMPLY] helpful [PERIOD]
calm [AND] light [AND] stupid [IMPLY] helpful [PERIOD]
frail [AND] sincere [IMPLY] famous [PERIOD]
fearless [IMPLY] stupid [PERIOD]
supportive [IMPLY] sincere [PERIOD]
frail [IMPLY] unpleasant [PERIOD]
fearless [AND] sincere [AND] frail [IMPLY] unpleasant [PERIOD]
unpleasant [AND] easy [IMPLY] supportive [PERIOD]
fearless [AND] modern [AND] stubborn [IMPLY] sleepy [PERIOD]
easy [AND] inquisitive [AND] light [IMPLY] frail [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   calm ⇒ supportive
   supportive ⇒ sincere
   sincere ⇒ clumsy
   stubborn ∧ clumsy ⇒ fearless
   fearless ⇒ inquisitive
   inquisitive ∧ comfortable ∧ stubborn ⇒ attentive
",1,6
"Facts:  Alice is vivacious [PERIOD]
Rules:
mean [AND] frail [AND] bored [IMPLY] vivacious [PERIOD]
bored [IMPLY] innocent [PERIOD]
shy [AND] tidy [AND] reserved [IMPLY] innocent [PERIOD]
innocent [AND] average [AND] mean [IMPLY] pleasant [PERIOD]
impartial [AND] pleasant [IMPLY] charming [PERIOD]
average [AND] bored [AND] shy [IMPLY] innocent [PERIOD]
innocent [AND] reserved [AND] vivacious [IMPLY] frail [PERIOD]
innocent [IMPLY] impartial [PERIOD]
innocent [AND] vivacious [AND] impartial [IMPLY] average [PERIOD]
average [AND] innocent [AND] hypocritical [IMPLY] tidy [PERIOD]
charming [IMPLY] impartial [PERIOD]
charming [AND] frail [IMPLY] mean [PERIOD]
hypocritical [IMPLY] bored [PERIOD]
vivacious [IMPLY] hypocritical [PERIOD]
impartial [AND] shy [IMPLY] pleasant [PERIOD]
bored [IMPLY] frail [PERIOD]
hypocritical [AND] bored [IMPLY] reserved [PERIOD]
innocent [AND] charming [AND] hypocritical [IMPLY] shy [PERIOD]
average [AND] vivacious [AND] bored [IMPLY] frail [PERIOD]
frail [AND] mean [AND] pleasant [IMPLY] charming [PERIOD]
hypocritical [AND] pleasant [IMPLY] average [PERIOD]
mean [AND] average [IMPLY] shy [PERIOD]
impartial [AND] charming [AND] tidy [IMPLY] shy [PERIOD]
frail [AND] tidy [IMPLY] charming [PERIOD]
vivacious [AND] tidy [IMPLY] reserved [PERIOD]
shy [AND] mean [AND] pleasant [IMPLY] reserved [PERIOD]
shy [IMPLY] bored [PERIOD]
mean [IMPLY] bored [PERIOD]
vivacious [IMPLY] reserved [PERIOD]
vivacious [AND] mean [AND] average [IMPLY] charming [PERIOD]
shy [IMPLY] vivacious [PERIOD]
average [AND] charming [IMPLY] mean [PERIOD]
tidy [AND] bored [IMPLY] mean [PERIOD]
shy [IMPLY] average [PERIOD]
pleasant [AND] average [IMPLY] hypocritical [PERIOD]
mean [AND] tidy [IMPLY] vivacious [PERIOD]
frail [AND] hypocritical [IMPLY] shy [PERIOD]
impartial [AND] innocent [IMPLY] frail [PERIOD]
vivacious [AND] shy [AND] charming [IMPLY] bored [PERIOD]
pleasant [AND] shy [IMPLY] reserved [PERIOD]
reserved [AND] average [IMPLY] charming [PERIOD]
reserved [IMPLY] shy [PERIOD]
reserved [IMPLY] innocent [PERIOD]
impartial [AND] frail [AND] charming [IMPLY] bored [PERIOD]
pleasant [AND] hypocritical [AND] impartial [IMPLY] average [PERIOD]
frail [AND] vivacious [AND] tidy [IMPLY] mean [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   vivacious ⇒ reserved
   reserved ⇒ shy
   shy ⇒ average
   vivacious ⇒ reserved
   reserved ⇒ innocent
   vivacious ⇒ hypocritical
   average ∧ innocent ∧ hypocritical ⇒ tidy
",1,7
"Facts:  Alice is embarrassed [PERIOD] Alice is foolish [PERIOD]
Rules:
good [AND] bad-tempered [AND] strange [IMPLY] dishonest [PERIOD]
grumpy [AND] supportive [IMPLY] pessimistic [PERIOD]
bad-tempered [AND] precious [IMPLY] amused [PERIOD]
grumpy [AND] good [IMPLY] bad-tempered [PERIOD]
worried [AND] stupid [IMPLY] shy [PERIOD]
attentive [IMPLY] shy [PERIOD]
good [AND] worried [IMPLY] foolish [PERIOD]
bad-tempered [AND] uptight [AND] shy [IMPLY] dishonest [PERIOD]
dishonest [IMPLY] shy [PERIOD]
dishonest [IMPLY] worried [PERIOD]
bad-tempered [AND] shy [AND] grumpy [IMPLY] strange [PERIOD]
foolish [AND] amused [IMPLY] supportive [PERIOD]
grumpy [AND] supportive [IMPLY] attentive [PERIOD]
uptight [AND] embarrassed [AND] worried [IMPLY] supportive [PERIOD]
good [AND] uptight [IMPLY] grumpy [PERIOD]
precious [AND] pessimistic [AND] attentive [IMPLY] worried [PERIOD]
uptight [AND] precious [IMPLY] strange [PERIOD]
foolish [AND] good [AND] amused [IMPLY] bad-tempered [PERIOD]
attentive [AND] foolish [AND] good [IMPLY] strange [PERIOD]
supportive [IMPLY] glamorous [PERIOD]
shy [AND] good [AND] embarrassed [IMPLY] amused [PERIOD]
attentive [AND] hurt [AND] stupid [IMPLY] good [PERIOD]
strange [AND] hurt [AND] foolish [IMPLY] pessimistic [PERIOD]
embarrassed [AND] strange [AND] dishonest [IMPLY] supportive [PERIOD]
embarrassed [AND] uptight [AND] pessimistic [IMPLY] glamorous [PERIOD]
embarrassed [AND] grumpy [IMPLY] foolish [PERIOD]
precious [AND] amused [IMPLY] bad-tempered [PERIOD]
embarrassed [IMPLY] grumpy [PERIOD]
amused [IMPLY] pessimistic [PERIOD]
hurt [IMPLY] grumpy [PERIOD]
worried [IMPLY] uptight [PERIOD]
supportive [AND] foolish [AND] stupid [IMPLY] shy [PERIOD]
hurt [AND] precious [AND] grumpy [IMPLY] glamorous [PERIOD]
stupid [AND] uptight [IMPLY] strange [PERIOD]
uptight [AND] precious [IMPLY] dishonest [PERIOD]
attentive [IMPLY] embarrassed [PERIOD]
foolish [IMPLY] bad-tempered [PERIOD]
worried [AND] precious [IMPLY] stupid [PERIOD]
embarrassed [IMPLY] hurt [PERIOD]
glamorous [IMPLY] good [PERIOD]
stupid [AND] uptight [IMPLY] hurt [PERIOD]
grumpy [IMPLY] attentive [PERIOD]
glamorous [AND] amused [IMPLY] pessimistic [PERIOD]
uptight [AND] supportive [AND] hurt [IMPLY] pessimistic [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   foolish ⇒ bad-tempered
   Cannot apply rule “bad-tempered ∧ precious ⇒ amused” because missing: precious.
   embarrassed ⇒ grumpy
   grumpy ⇒ attentive
   attentive ⇒ shy
   Cannot apply rule “shy ∧ good ∧ embarrassed ⇒ amused” because missing: good.
",0,6
"Facts: 
Rules:
shy [AND] silly [AND] troubled [IMPLY] serious [PERIOD]
cute [IMPLY] clean [PERIOD]
outrageous [IMPLY] powerful [PERIOD]
proud [AND] diplomatic [IMPLY] blushing [PERIOD]
diplomatic [AND] hypocritical [AND] clean [IMPLY] powerful [PERIOD]
hypocritical [IMPLY] outrageous [PERIOD]
blushing [AND] fancy [AND] hypocritical [IMPLY] cute [PERIOD]
comfortable [AND] weary [AND] outrageous [IMPLY] straightforward [PERIOD]
clean [IMPLY] smart [PERIOD]
hypocritical [AND] lonely [AND] wandering [IMPLY] distinct [PERIOD]
pessimistic [IMPLY] blushing [PERIOD]
cute [IMPLY] blushing [PERIOD]
straightforward [AND] troubled [AND] spotless [IMPLY] pessimistic [PERIOD]
spotless [AND] wandering [AND] proud [IMPLY] shy [PERIOD]
weary [AND] powerful [AND] troubled [IMPLY] smart [PERIOD]
pessimistic [IMPLY] silly [PERIOD]
silly [AND] clean [IMPLY] comfortable [PERIOD]
clean [AND] shy [IMPLY] smart [PERIOD]
powerful [AND] clean [IMPLY] proud [PERIOD]
distinct [AND] smart [AND] straightforward [IMPLY] diplomatic [PERIOD]
proud [AND] straightforward [IMPLY] serious [PERIOD]
straightforward [AND] silly [IMPLY] hypocritical [PERIOD]
powerful [AND] serious [AND] proud [IMPLY] silly [PERIOD]
lonely [AND] serious [AND] pessimistic [IMPLY] blushing [PERIOD]
fancy [AND] troubled [IMPLY] pessimistic [PERIOD]
powerful [IMPLY] lonely [PERIOD]
spotless [IMPLY] comfortable [PERIOD]
smart [AND] outrageous [AND] powerful [IMPLY] silly [PERIOD]
shy [AND] hypocritical [AND] comfortable [IMPLY] serious [PERIOD]
smart [AND] shy [IMPLY] blushing [PERIOD]
fancy [AND] shy [AND] silly [IMPLY] smart [PERIOD]
powerful [AND] blushing [AND] distinct [IMPLY] silly [PERIOD]
clean [AND] hypocritical [IMPLY] pessimistic [PERIOD]
proud [IMPLY] hypocritical [PERIOD]
comfortable [IMPLY] pessimistic [PERIOD]
troubled [AND] pessimistic [IMPLY] weary [PERIOD]
shy [AND] powerful [IMPLY] clean [PERIOD]
lonely [AND] smart [AND] diplomatic [IMPLY] wandering [PERIOD]
hypocritical [AND] lonely [AND] powerful [IMPLY] shy [PERIOD]
shy [IMPLY] distinct [PERIOD]
diplomatic [IMPLY] outrageous [PERIOD]
clean [AND] fancy [AND] straightforward [IMPLY] distinct [PERIOD]
smart [AND] distinct [IMPLY] diplomatic [PERIOD]
wandering [AND] shy [IMPLY] lonely [PERIOD]
cute [AND] hypocritical [AND] straightforward [IMPLY] serious [PERIOD]
clean [AND] shy [IMPLY] blushing [PERIOD]
clean [AND] blushing [IMPLY] cute [PERIOD]
troubled [AND] wandering [AND] diplomatic [IMPLY] smart [PERIOD]
silly [IMPLY] comfortable [PERIOD]
cute [AND] comfortable [IMPLY] lonely [PERIOD]
smart [IMPLY] fancy [PERIOD]
blushing [AND] distinct [IMPLY] diplomatic [PERIOD]
hypocritical [IMPLY] powerful [PERIOD]
lonely [AND] comfortable [IMPLY] troubled [PERIOD]
hypocritical [AND] diplomatic [AND] wandering [IMPLY] distinct [PERIOD]
diplomatic [AND] proud [IMPLY] straightforward [PERIOD]
distinct [IMPLY] blushing [PERIOD]
spotless [AND] distinct [IMPLY] powerful [PERIOD]
shy [AND] clean [AND] troubled [IMPLY] diplomatic [PERIOD]
straightforward [IMPLY] silly [PERIOD]
diplomatic [AND] lonely [AND] weary [IMPLY] proud [PERIOD]
cute [IMPLY] silly [PERIOD]
spotless [IMPLY] serious [PERIOD]
outrageous [AND] weary [AND] lonely [IMPLY] clean [PERIOD]
outrageous [AND] clean [IMPLY] cute [PERIOD]
blushing [IMPLY] distinct [PERIOD]
serious [AND] proud [AND] shy [IMPLY] pessimistic [PERIOD]
straightforward [AND] outrageous [AND] spotless [IMPLY] troubled [PERIOD]
cute [IMPLY] powerful [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   Cannot apply rule “hypocritical ∧ lonely ∧ wandering ⇒ distinct” because missing: hypocritical, lonely, wandering.
   Cannot apply rule “shy ⇒ distinct” because missing: shy.
   Cannot apply rule “clean ∧ fancy ∧ straightforward ⇒ distinct” because missing: clean, fancy, straightforward.
   Cannot apply rule “hypocritical ∧ diplomatic ∧ wandering ⇒ distinct” because missing: hypocritical, diplomatic, wandering.
   Cannot apply rule “blushing ⇒ distinct” because missing: blushing.
",0,5
"Facts:  Alice is excited [PERIOD] Alice is jittery [PERIOD]
Rules:
embarrassed [AND] agreeable [AND] rational [IMPLY] thoughtful [PERIOD]
attractive [AND] hilarious [AND] outstanding [IMPLY] talkative [PERIOD]
weary [AND] polite [AND] wrong [IMPLY] alert [PERIOD]
polite [AND] worried [IMPLY] ugly [PERIOD]
excited [IMPLY] frantic [PERIOD]
frantic [IMPLY] hilarious [PERIOD]
thoughtful [AND] ugly [IMPLY] polite [PERIOD]
talented [AND] spotless [AND] tidy [IMPLY] wrong [PERIOD]
spotless [IMPLY] alert [PERIOD]
bright [IMPLY] fine [PERIOD]
jittery [AND] hilarious [AND] combative [IMPLY] plain [PERIOD]
thoughtful [AND] combative [AND] fine [IMPLY] wrong [PERIOD]
bright [IMPLY] worried [PERIOD]
talented [IMPLY] joyous [PERIOD]
frightened [IMPLY] embarrassed [PERIOD]
joyous [IMPLY] plain [PERIOD]
thoughtful [AND] worried [IMPLY] old-fashioned [PERIOD]
outrageous [AND] ugly [IMPLY] fine [PERIOD]
ugly [AND] thoughtful [AND] bright [IMPLY] rational [PERIOD]
alert [AND] combative [IMPLY] precious [PERIOD]
alert [IMPLY] spotless [PERIOD]
thoughtful [IMPLY] talkative [PERIOD]
thoughtful [AND] attractive [AND] talented [IMPLY] frightened [PERIOD]
polite [AND] rational [AND] talented [IMPLY] outstanding [PERIOD]
combative [AND] ugly [IMPLY] bright [PERIOD]
attractive [AND] talented [IMPLY] outrageous [PERIOD]
outrageous [AND] old-fashioned [AND] embarrassed [IMPLY] talented [PERIOD]
ugly [AND] thoughtful [IMPLY] fine [PERIOD]
fine [AND] polite [IMPLY] ugly [PERIOD]
outstanding [AND] weary [IMPLY] bright [PERIOD]
thoughtful [IMPLY] outrageous [PERIOD]
spotless [AND] hilarious [IMPLY] precious [PERIOD]
joyous [IMPLY] bright [PERIOD]
polite [IMPLY] combative [PERIOD]
attractive [AND] embarrassed [AND] polite [IMPLY] bright [PERIOD]
combative [AND] bright [IMPLY] wrong [PERIOD]
ugly [AND] thoughtful [AND] spotless [IMPLY] jittery [PERIOD]
polite [IMPLY] thoughtful [PERIOD]
plain [AND] excited [IMPLY] frightened [PERIOD]
frantic [IMPLY] spotless [PERIOD]
frightened [AND] old-fashioned [IMPLY] thoughtful [PERIOD]
thoughtful [AND] hilarious [AND] combative [IMPLY] jittery [PERIOD]
frantic [AND] embarrassed [AND] joyous [IMPLY] polite [PERIOD]
attractive [AND] plain [IMPLY] fine [PERIOD]
frightened [IMPLY] alert [PERIOD]
ugly [AND] talkative [IMPLY] precious [PERIOD]
frightened [IMPLY] worried [PERIOD]
rational [AND] old-fashioned [AND] fine [IMPLY] wrong [PERIOD]
thoughtful [AND] worried [IMPLY] plain [PERIOD]
zealous [IMPLY] outstanding [PERIOD]
spotless [AND] outstanding [AND] wrong [IMPLY] old-fashioned [PERIOD]
weary [IMPLY] tidy [PERIOD]
old-fashioned [IMPLY] tidy [PERIOD]
frantic [AND] outrageous [IMPLY] frightened [PERIOD]
alert [AND] ugly [AND] attractive [IMPLY] fine [PERIOD]
outstanding [AND] combative [AND] spotless [IMPLY] frightened [PERIOD]
plain [IMPLY] rational [PERIOD]
polite [IMPLY] talkative [PERIOD]
spotless [AND] frightened [AND] weary [IMPLY] polite [PERIOD]
rational [AND] thoughtful [IMPLY] polite [PERIOD]
talkative [AND] bright [AND] agreeable [IMPLY] attractive [PERIOD]
outrageous [AND] weary [AND] talented [IMPLY] zealous [PERIOD]
spotless [IMPLY] frantic [PERIOD]
bright [AND] agreeable [AND] excited [IMPLY] worried [PERIOD]
embarrassed [IMPLY] tidy [PERIOD]
frantic [IMPLY] talented [PERIOD]
talkative [IMPLY] combative [PERIOD]
thoughtful [AND] plain [AND] zealous [IMPLY] agreeable [PERIOD]
hilarious [IMPLY] precious [PERIOD]
wrong [IMPLY] frantic [PERIOD]
fine [AND] old-fashioned [IMPLY] bright [PERIOD]
excited [AND] agreeable [AND] frightened [IMPLY] worried [PERIOD]
plain [IMPLY] polite [PERIOD]
precious [IMPLY] bright [PERIOD]
embarrassed [AND] combative [IMPLY] old-fashioned [PERIOD]
tidy [AND] embarrassed [IMPLY] hilarious [PERIOD]
ugly [AND] excited [IMPLY] tidy [PERIOD]
tidy [AND] frantic [AND] talkative [IMPLY] outrageous [PERIOD]
agreeable [IMPLY] joyous [PERIOD]
wrong [AND] precious [IMPLY] frightened [PERIOD]
tidy [AND] polite [AND] excited [IMPLY] hilarious [PERIOD]
outstanding [AND] old-fashioned [AND] alert [IMPLY] talented [PERIOD]
rational [AND] agreeable [IMPLY] attractive [PERIOD]
spotless [IMPLY] attractive [PERIOD]
precious [AND] plain [IMPLY] agreeable [PERIOD]
bright [AND] worried [IMPLY] jittery [PERIOD]
Query: Alice is outrageous [PERIOD]","Proof chain:
   excited ⇒ frantic
   frantic ⇒ spotless
   spotless ⇒ attractive
   excited ⇒ frantic
   frantic ⇒ talented
   attractive ∧ talented ⇒ outrageous
",1,6
"Facts:  Alice is witty [PERIOD] Alice is selfish [PERIOD] Alice is lonely [PERIOD]
Rules:
unpleasant [AND] amused [AND] elated [IMPLY] witty [PERIOD]
elated [AND] excited [IMPLY] gorgeous [PERIOD]
average [IMPLY] amused [PERIOD]
tame [IMPLY] adorable [PERIOD]
sensible [AND] lonely [IMPLY] excited [PERIOD]
reserved [AND] disobedient [IMPLY] elated [PERIOD]
gorgeous [AND] lonely [IMPLY] combative [PERIOD]
amused [AND] lonely [AND] combative [IMPLY] disobedient [PERIOD]
gorgeous [IMPLY] unpleasant [PERIOD]
elated [AND] amused [IMPLY] gorgeous [PERIOD]
elated [AND] sensible [AND] combative [IMPLY] amused [PERIOD]
lonely [AND] excited [AND] witty [IMPLY] reserved [PERIOD]
gorgeous [AND] disobedient [AND] aggressive [IMPLY] lonely [PERIOD]
lonely [AND] excited [IMPLY] sensible [PERIOD]
selfish [AND] witty [AND] elated [IMPLY] combative [PERIOD]
adorable [IMPLY] disobedient [PERIOD]
adorable [IMPLY] excited [PERIOD]
lonely [IMPLY] selfish [PERIOD]
combative [IMPLY] witty [PERIOD]
witty [AND] elated [IMPLY] sensible [PERIOD]
gorgeous [AND] reserved [AND] aggressive [IMPLY] amused [PERIOD]
tame [AND] sensible [AND] witty [IMPLY] selfish [PERIOD]
witty [AND] average [IMPLY] unpleasant [PERIOD]
disobedient [IMPLY] sensible [PERIOD]
average [IMPLY] sensible [PERIOD]
witty [AND] average [IMPLY] sensible [PERIOD]
disobedient [IMPLY] amused [PERIOD]
witty [IMPLY] selfish [PERIOD]
sensible [IMPLY] combative [PERIOD]
excited [AND] amused [IMPLY] average [PERIOD]
sensible [AND] excited [AND] lonely [IMPLY] witty [PERIOD]
tame [AND] aggressive [IMPLY] selfish [PERIOD]
disobedient [IMPLY] selfish [PERIOD]
excited [AND] amused [AND] combative [IMPLY] selfish [PERIOD]
elated [AND] adorable [IMPLY] combative [PERIOD]
adorable [AND] amused [IMPLY] tame [PERIOD]
amused [IMPLY] excited [PERIOD]
selfish [AND] amused [AND] reserved [IMPLY] gorgeous [PERIOD]
elated [AND] average [IMPLY] tame [PERIOD]
aggressive [AND] lonely [IMPLY] selfish [PERIOD]
amused [IMPLY] average [PERIOD]
unpleasant [AND] adorable [AND] witty [IMPLY] selfish [PERIOD]
combative [IMPLY] elated [PERIOD]
aggressive [AND] lonely [IMPLY] witty [PERIOD]
aggressive [AND] excited [AND] gorgeous [IMPLY] unpleasant [PERIOD]
unpleasant [AND] amused [AND] aggressive [IMPLY] adorable [PERIOD]
combative [IMPLY] lonely [PERIOD]
excited [AND] tame [AND] adorable [IMPLY] lonely [PERIOD]
selfish [AND] adorable [AND] lonely [IMPLY] excited [PERIOD]
combative [AND] gorgeous [IMPLY] tame [PERIOD]
excited [AND] sensible [IMPLY] reserved [PERIOD]
disobedient [AND] aggressive [IMPLY] amused [PERIOD]
gorgeous [AND] witty [AND] unpleasant [IMPLY] average [PERIOD]
lonely [AND] average [IMPLY] reserved [PERIOD]
lonely [AND] adorable [IMPLY] average [PERIOD]
unpleasant [IMPLY] lonely [PERIOD]
reserved [IMPLY] average [PERIOD]
witty [AND] combative [AND] elated [IMPLY] lonely [PERIOD]
witty [IMPLY] disobedient [PERIOD]
aggressive [AND] disobedient [AND] reserved [IMPLY] gorgeous [PERIOD]
lonely [AND] average [AND] excited [IMPLY] aggressive [PERIOD]
amused [AND] selfish [IMPLY] combative [PERIOD]
combative [AND] adorable [IMPLY] gorgeous [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   witty ⇒ disobedient
   disobedient ⇒ amused
   amused ∧ selfish ⇒ combative
   combative ⇒ elated
",1,4
"Facts:  Alice is hurt [PERIOD] Alice is gleaming [PERIOD] Alice is careless [PERIOD] Alice is long [PERIOD] Alice is clumsy [PERIOD]
Rules:
long [AND] hurt [AND] light [IMPLY] confused [PERIOD]
gleaming [IMPLY] long [PERIOD]
long [IMPLY] gleaming [PERIOD]
witty [AND] pleasant [IMPLY] light [PERIOD]
light [IMPLY] confused [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   Cannot apply rule “witty ∧ pleasant ⇒ light” because missing: witty, pleasant.
",0,1
"Facts:  Alice is silly [PERIOD] Alice is attractive [PERIOD] Alice is stubborn [PERIOD]
Rules:
embarrassed [IMPLY] attractive [PERIOD]
embarrassed [AND] wandering [IMPLY] supportive [PERIOD]
charming [IMPLY] silly [PERIOD]
pleasant [AND] embarrassed [IMPLY] uptight [PERIOD]
amused [IMPLY] hypocritical [PERIOD]
frantic [AND] tense [IMPLY] wide-eyed [PERIOD]
wandering [AND] supportive [IMPLY] attractive [PERIOD]
hypocritical [IMPLY] exuberant [PERIOD]
dull [AND] cruel [IMPLY] wandering [PERIOD]
wide-eyed [AND] weary [IMPLY] pleasant [PERIOD]
silly [AND] supportive [AND] wrong [IMPLY] embarrassed [PERIOD]
attractive [IMPLY] precious [PERIOD]
hypocritical [IMPLY] tidy [PERIOD]
exuberant [AND] wandering [IMPLY] uptight [PERIOD]
uptight [AND] weary [IMPLY] pleasant [PERIOD]
tidy [AND] frightened [IMPLY] attractive [PERIOD]
tense [AND] tidy [AND] silly [IMPLY] precious [PERIOD]
wide-eyed [AND] frightened [AND] tidy [IMPLY] outstanding [PERIOD]
amused [AND] supportive [IMPLY] frightened [PERIOD]
uptight [IMPLY] frantic [PERIOD]
supportive [AND] uptight [AND] cruel [IMPLY] curious [PERIOD]
frantic [AND] curious [IMPLY] jittery [PERIOD]
gifted [AND] clean [AND] stubborn [IMPLY] weary [PERIOD]
wrong [AND] ambitious [IMPLY] cruel [PERIOD]
dull [IMPLY] uptight [PERIOD]
wandering [AND] dull [IMPLY] charming [PERIOD]
frightened [AND] cruel [AND] clean [IMPLY] frantic [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   Cannot apply rule “wide-eyed ∧ weary ⇒ pleasant” because missing: wide-eyed, weary.
   Cannot apply rule “uptight ∧ weary ⇒ pleasant” because missing: uptight, weary.
",0,2
"Facts:  Alice is dull [PERIOD]
Rules:
outstanding [AND] inquisitive [IMPLY] gifted [PERIOD]
excited [AND] inquisitive [IMPLY] famous [PERIOD]
inquisitive [IMPLY] dull [PERIOD]
mean [AND] outstanding [AND] horrible [IMPLY] ambitious [PERIOD]
thoughtless [AND] bright [AND] excited [IMPLY] modern [PERIOD]
famous [AND] bright [AND] broad-minded [IMPLY] modern [PERIOD]
horrible [AND] elated [IMPLY] dull [PERIOD]
bright [IMPLY] broad-minded [PERIOD]
ambitious [AND] dull [IMPLY] inquisitive [PERIOD]
mean [AND] elated [AND] dull [IMPLY] excited [PERIOD]
dull [IMPLY] famous [PERIOD]
thoughtless [AND] broad-minded [IMPLY] famous [PERIOD]
ugly [IMPLY] excited [PERIOD]
excited [IMPLY] ambitious [PERIOD]
horrible [AND] broad-minded [IMPLY] famous [PERIOD]
modern [AND] elated [IMPLY] excited [PERIOD]
broad-minded [AND] inexpensive [AND] gifted [IMPLY] mean [PERIOD]
bright [AND] ambitious [IMPLY] outstanding [PERIOD]
modern [AND] inexpensive [AND] troubled [IMPLY] bright [PERIOD]
ambitious [AND] gifted [IMPLY] dull [PERIOD]
broad-minded [IMPLY] outstanding [PERIOD]
elated [AND] dull [AND] modern [IMPLY] inexpensive [PERIOD]
horrible [AND] excited [AND] modern [IMPLY] inexpensive [PERIOD]
dull [IMPLY] troubled [PERIOD]
horrible [AND] thoughtless [AND] ambitious [IMPLY] gifted [PERIOD]
inquisitive [AND] bright [IMPLY] ambitious [PERIOD]
excited [AND] gifted [IMPLY] troubled [PERIOD]
elated [AND] inquisitive [IMPLY] inexpensive [PERIOD]
famous [IMPLY] ugly [PERIOD]
inexpensive [AND] elated [AND] horrible [IMPLY] broad-minded [PERIOD]
horrible [IMPLY] dull [PERIOD]
horrible [AND] dull [AND] elated [IMPLY] outstanding [PERIOD]
gifted [AND] horrible [AND] inquisitive [IMPLY] mean [PERIOD]
dull [AND] bright [AND] mean [IMPLY] horrible [PERIOD]
famous [IMPLY] modern [PERIOD]
modern [AND] ugly [AND] famous [IMPLY] dull [PERIOD]
inexpensive [AND] gifted [IMPLY] modern [PERIOD]
modern [AND] thoughtless [AND] ambitious [IMPLY] broad-minded [PERIOD]
ambitious [IMPLY] excited [PERIOD]
elated [AND] mean [IMPLY] gifted [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   dull ⇒ famous
   famous ⇒ ugly
   ugly ⇒ excited
   excited ⇒ ambitious
   Cannot apply rule “bright ∧ ambitious ⇒ outstanding” because missing: bright.
   Cannot apply rule “broad-minded ⇒ outstanding” because missing: broad-minded.
   Cannot apply rule “horrible ∧ dull ∧ elated ⇒ outstanding” because missing: horrible, elated.
",0,7
"Facts:  Alice is average [PERIOD]
Rules:
talkative [AND] average [IMPLY] sleepy [PERIOD]
calm [AND] sincere [AND] crowded [IMPLY] grumpy [PERIOD]
sincere [AND] calm [IMPLY] grumpy [PERIOD]
calm [AND] talkative [AND] fine [IMPLY] crowded [PERIOD]
frightened [AND] sleepy [IMPLY] crowded [PERIOD]
talkative [AND] calm [AND] grumpy [IMPLY] friendly [PERIOD]
fine [AND] crowded [IMPLY] talkative [PERIOD]
talkative [AND] sleepy [AND] crowded [IMPLY] friendly [PERIOD]
calm [AND] talkative [IMPLY] cooperative [PERIOD]
talkative [AND] crowded [AND] frightened [IMPLY] cooperative [PERIOD]
crowded [AND] friendly [AND] average [IMPLY] fine [PERIOD]
crowded [AND] fine [IMPLY] grumpy [PERIOD]
calm [IMPLY] crowded [PERIOD]
calm [AND] sincere [IMPLY] fine [PERIOD]
cooperative [IMPLY] friendly [PERIOD]
sincere [AND] calm [IMPLY] crowded [PERIOD]
frightened [AND] sincere [IMPLY] average [PERIOD]
calm [AND] talkative [IMPLY] friendly [PERIOD]
sincere [AND] crowded [IMPLY] talkative [PERIOD]
average [AND] grumpy [IMPLY] talkative [PERIOD]
talkative [AND] fine [IMPLY] calm [PERIOD]
cooperative [AND] sincere [IMPLY] frightened [PERIOD]
cooperative [IMPLY] talkative [PERIOD]
friendly [AND] average [IMPLY] crowded [PERIOD]
frightened [AND] friendly [IMPLY] talkative [PERIOD]
sleepy [AND] average [IMPLY] cooperative [PERIOD]
average [AND] friendly [IMPLY] talkative [PERIOD]
sincere [AND] calm [IMPLY] sleepy [PERIOD]
average [IMPLY] fine [PERIOD]
sleepy [IMPLY] talkative [PERIOD]
grumpy [AND] talkative [IMPLY] fine [PERIOD]
average [AND] crowded [AND] cooperative [IMPLY] sleepy [PERIOD]
calm [AND] cooperative [AND] average [IMPLY] friendly [PERIOD]
talkative [IMPLY] frightened [PERIOD]
friendly [AND] cooperative [AND] sleepy [IMPLY] frightened [PERIOD]
grumpy [AND] crowded [AND] fine [IMPLY] friendly [PERIOD]
sincere [AND] grumpy [AND] friendly [IMPLY] cooperative [PERIOD]
fine [AND] sleepy [AND] frightened [IMPLY] cooperative [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   Cannot apply rule “calm ∧ talkative ⇒ cooperative” because missing: calm, talkative.
   Cannot apply rule “talkative ∧ crowded ∧ frightened ⇒ cooperative” because missing: talkative, crowded, frightened.
   Cannot apply rule “sleepy ∧ average ⇒ cooperative” because missing: sleepy.
   Cannot apply rule “sincere ∧ grumpy ∧ friendly ⇒ cooperative” because missing: sincere, grumpy, friendly.
   average ⇒ fine
   Cannot apply rule “fine ∧ sleepy ∧ frightened ⇒ cooperative” because missing: sleepy, frightened.
",0,6
"Facts:  Alice is intellectual [PERIOD] Alice is proud [PERIOD] Alice is weary [PERIOD] Alice is ambitious [PERIOD] Alice is scared [PERIOD] Alice is disgusted [PERIOD] Alice is shiny [PERIOD] Alice is good [PERIOD] Alice is beautiful [PERIOD] Alice is enchanting [PERIOD] Alice is condemned [PERIOD] Alice is selfish [PERIOD] Alice is lonely [PERIOD] Alice is loving [PERIOD] Alice is victorious [PERIOD] Alice is dishonest [PERIOD] Alice is witty [PERIOD] Alice is smart [PERIOD]
Rules:
victorious [AND] dishonest [AND] good [IMPLY] ugliest [PERIOD]
diplomatic [AND] blushing [IMPLY] lonely [PERIOD]
scared [AND] enchanting [IMPLY] disgusted [PERIOD]
selfish [IMPLY] dishonest [PERIOD]
ugliest [AND] disgusted [AND] loving [IMPLY] diplomatic [PERIOD]
condemned [AND] victorious [IMPLY] smart [PERIOD]
weary [AND] beautiful [IMPLY] intellectual [PERIOD]
proud [IMPLY] ambitious [PERIOD]
smart [IMPLY] victorious [PERIOD]
lonely [AND] intellectual [IMPLY] ambitious [PERIOD]
condemned [AND] witty [AND] proud [IMPLY] scared [PERIOD]
polite [AND] scared [AND] smart [IMPLY] loving [PERIOD]
victorious [AND] disgusted [IMPLY] intellectual [PERIOD]
blushing [AND] shiny [IMPLY] victorious [PERIOD]
witty [IMPLY] condemned [PERIOD]
selfish [AND] shiny [IMPLY] polite [PERIOD]
dishonest [IMPLY] weary [PERIOD]
beautiful [AND] ambitious [IMPLY] polite [PERIOD]
smart [AND] condemned [AND] sleepy [IMPLY] scared [PERIOD]
polite [AND] selfish [IMPLY] condemned [PERIOD]
polite [AND] disgusted [AND] sleepy [IMPLY] smart [PERIOD]
different [IMPLY] loving [PERIOD]
condemned [AND] shiny [AND] beautiful [IMPLY] selfish [PERIOD]
intellectual [IMPLY] condemned [PERIOD]
ambitious [AND] loving [IMPLY] victorious [PERIOD]
proud [AND] disgusted [IMPLY] condemned [PERIOD]
dishonest [IMPLY] polite [PERIOD]
ugliest [AND] victorious [AND] proud [IMPLY] condemned [PERIOD]
loving [IMPLY] polite [PERIOD]
good [IMPLY] scared [PERIOD]
loving [IMPLY] smart [PERIOD]
dishonest [AND] enchanting [IMPLY] intellectual [PERIOD]
intellectual [AND] ambitious [AND] beautiful [IMPLY] sleepy [PERIOD]
shiny [IMPLY] loving [PERIOD]
smart [IMPLY] loving [PERIOD]
scared [AND] dishonest [AND] witty [IMPLY] diplomatic [PERIOD]
polite [AND] shiny [IMPLY] blushing [PERIOD]
loving [AND] diplomatic [AND] proud [IMPLY] disgusted [PERIOD]
selfish [IMPLY] enchanting [PERIOD]
shiny [IMPLY] scared [PERIOD]
lonely [AND] condemned [IMPLY] dishonest [PERIOD]
dishonest [AND] sleepy [IMPLY] proud [PERIOD]
polite [AND] sleepy [AND] intellectual [IMPLY] dishonest [PERIOD]
smart [AND] proud [AND] ambitious [IMPLY] shiny [PERIOD]
smart [AND] witty [AND] polite [IMPLY] lonely [PERIOD]
witty [AND] beautiful [IMPLY] loving [PERIOD]
disgusted [IMPLY] victorious [PERIOD]
disgusted [AND] condemned [IMPLY] ambitious [PERIOD]
proud [AND] dishonest [IMPLY] shiny [PERIOD]
smart [IMPLY] different [PERIOD]
lonely [IMPLY] proud [PERIOD]
ugliest [IMPLY] disgusted [PERIOD]
sleepy [AND] condemned [AND] proud [IMPLY] smart [PERIOD]
shiny [AND] condemned [IMPLY] dishonest [PERIOD]
proud [AND] lonely [AND] selfish [IMPLY] beautiful [PERIOD]
proud [AND] ambitious [AND] disgusted [IMPLY] smart [PERIOD]
lonely [AND] smart [AND] scared [IMPLY] beautiful [PERIOD]
scared [IMPLY] ugliest [PERIOD]
witty [AND] shiny [AND] smart [IMPLY] selfish [PERIOD]
lonely [IMPLY] shiny [PERIOD]
weary [AND] ugliest [IMPLY] dishonest [PERIOD]
loving [AND] victorious [AND] lonely [IMPLY] shiny [PERIOD]
polite [AND] sleepy [IMPLY] victorious [PERIOD]
ambitious [AND] scared [AND] dishonest [IMPLY] smart [PERIOD]
victorious [AND] polite [IMPLY] disgusted [PERIOD]
lonely [AND] dishonest [IMPLY] victorious [PERIOD]
ambitious [IMPLY] shiny [PERIOD]
beautiful [AND] polite [IMPLY] different [PERIOD]
shiny [AND] smart [AND] diplomatic [IMPLY] condemned [PERIOD]
condemned [AND] shiny [IMPLY] blushing [PERIOD]
victorious [AND] scared [AND] good [IMPLY] disgusted [PERIOD]
loving [IMPLY] witty [PERIOD]
polite [AND] proud [AND] shiny [IMPLY] good [PERIOD]
weary [AND] polite [IMPLY] different [PERIOD]
weary [AND] blushing [IMPLY] loving [PERIOD]
intellectual [AND] lonely [AND] loving [IMPLY] diplomatic [PERIOD]
weary [AND] witty [AND] intellectual [IMPLY] disgusted [PERIOD]
enchanting [IMPLY] witty [PERIOD]
enchanting [AND] polite [AND] beautiful [IMPLY] loving [PERIOD]
diplomatic [AND] sleepy [AND] ambitious [IMPLY] weary [PERIOD]
loving [AND] blushing [IMPLY] condemned [PERIOD]
blushing [AND] beautiful [IMPLY] ugliest [PERIOD]
ugliest [AND] diplomatic [AND] smart [IMPLY] sleepy [PERIOD]
blushing [AND] loving [IMPLY] ambitious [PERIOD]
selfish [IMPLY] lonely [PERIOD]
selfish [AND] sleepy [AND] disgusted [IMPLY] diplomatic [PERIOD]
witty [AND] blushing [AND] ambitious [IMPLY] diplomatic [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is dishonest [PERIOD] Alice is adorable [PERIOD] Alice is different [PERIOD] Alice is charming [PERIOD] Alice is gorgeous [PERIOD] Alice is sleepy [PERIOD] Alice is supportive [PERIOD] Alice is tidy [PERIOD] Alice is dull [PERIOD] Alice is lonely [PERIOD] Alice is enchanting [PERIOD] Alice is pessimistic [PERIOD] Alice is sensible [PERIOD] Alice is impatient [PERIOD] Alice is attentive [PERIOD] Alice is agreeable [PERIOD]
Rules:
different [IMPLY] enchanting [PERIOD]
agreeable [AND] sensible [AND] impatient [IMPLY] foolish [PERIOD]
dishonest [AND] difficult [AND] joyous [IMPLY] tidy [PERIOD]
homely [AND] glamorous [IMPLY] difficult [PERIOD]
adorable [IMPLY] lonely [PERIOD]
enchanting [IMPLY] charming [PERIOD]
unpleasant [AND] pessimistic [IMPLY] nervous [PERIOD]
different [AND] clumsy [AND] unpleasant [IMPLY] homely [PERIOD]
adorable [AND] outrageous [IMPLY] supportive [PERIOD]
pessimistic [AND] different [IMPLY] enchanting [PERIOD]
attentive [IMPLY] nervous [PERIOD]
attentive [AND] different [IMPLY] messy [PERIOD]
straightforward [IMPLY] homely [PERIOD]
agreeable [IMPLY] pessimistic [PERIOD]
difficult [IMPLY] nervous [PERIOD]
clumsy [AND] glamorous [IMPLY] messy [PERIOD]
joyous [AND] difficult [AND] nervous [IMPLY] stormy [PERIOD]
messy [AND] homely [AND] tidy [IMPLY] different [PERIOD]
supportive [AND] dull [AND] impatient [IMPLY] outrageous [PERIOD]
different [AND] difficult [AND] straightforward [IMPLY] enchanting [PERIOD]
agreeable [AND] homely [AND] difficult [IMPLY] tidy [PERIOD]
stormy [AND] attentive [AND] adorable [IMPLY] nervous [PERIOD]
joyous [AND] unpleasant [AND] agreeable [IMPLY] dull [PERIOD]
difficult [IMPLY] outrageous [PERIOD]
tidy [IMPLY] difficult [PERIOD]
stormy [AND] gorgeous [IMPLY] straightforward [PERIOD]
clumsy [AND] pessimistic [IMPLY] victorious [PERIOD]
dishonest [AND] pessimistic [IMPLY] attentive [PERIOD]
adorable [IMPLY] nervous [PERIOD]
victorious [AND] lonely [IMPLY] charming [PERIOD]
nervous [AND] supportive [AND] joyous [IMPLY] lonely [PERIOD]
joyous [IMPLY] victorious [PERIOD]
foolish [IMPLY] supportive [PERIOD]
tidy [IMPLY] charming [PERIOD]
stormy [AND] enchanting [IMPLY] nervous [PERIOD]
victorious [AND] different [AND] outrageous [IMPLY] foolish [PERIOD]
lonely [IMPLY] nervous [PERIOD]
clumsy [AND] sleepy [AND] victorious [IMPLY] nervous [PERIOD]
straightforward [AND] different [AND] impatient [IMPLY] adorable [PERIOD]
dishonest [AND] gorgeous [AND] attentive [IMPLY] sensible [PERIOD]
joyous [AND] outrageous [AND] dishonest [IMPLY] supportive [PERIOD]
tidy [IMPLY] different [PERIOD]
difficult [AND] victorious [IMPLY] joyous [PERIOD]
lonely [AND] attentive [IMPLY] victorious [PERIOD]
joyous [AND] messy [IMPLY] gorgeous [PERIOD]
glamorous [AND] clumsy [IMPLY] joyous [PERIOD]
outrageous [IMPLY] gorgeous [PERIOD]
attentive [AND] glamorous [IMPLY] unpleasant [PERIOD]
adorable [AND] difficult [IMPLY] tidy [PERIOD]
dull [AND] agreeable [IMPLY] impatient [PERIOD]
enchanting [AND] pessimistic [IMPLY] nervous [PERIOD]
lonely [AND] sensible [AND] tidy [IMPLY] adorable [PERIOD]
foolish [AND] different [AND] pessimistic [IMPLY] tidy [PERIOD]
outrageous [AND] pessimistic [IMPLY] enchanting [PERIOD]
lonely [AND] victorious [AND] pessimistic [IMPLY] different [PERIOD]
messy [AND] different [IMPLY] glamorous [PERIOD]
difficult [AND] messy [AND] clumsy [IMPLY] dishonest [PERIOD]
joyous [AND] pessimistic [AND] unpleasant [IMPLY] glamorous [PERIOD]
foolish [AND] adorable [AND] enchanting [IMPLY] lonely [PERIOD]
stormy [AND] outrageous [AND] victorious [IMPLY] straightforward [PERIOD]
victorious [IMPLY] supportive [PERIOD]
unpleasant [AND] outrageous [IMPLY] different [PERIOD]
foolish [AND] outrageous [AND] messy [IMPLY] tidy [PERIOD]
pessimistic [IMPLY] attentive [PERIOD]
nervous [AND] different [IMPLY] supportive [PERIOD]
clumsy [AND] dishonest [AND] sleepy [IMPLY] outrageous [PERIOD]
clumsy [IMPLY] enchanting [PERIOD]
supportive [AND] outrageous [IMPLY] nervous [PERIOD]
victorious [AND] clumsy [AND] dishonest [IMPLY] foolish [PERIOD]
nervous [IMPLY] difficult [PERIOD]
nervous [AND] tidy [IMPLY] homely [PERIOD]
glamorous [IMPLY] impatient [PERIOD]
stormy [AND] impatient [AND] unpleasant [IMPLY] outrageous [PERIOD]
sensible [AND] foolish [AND] stormy [IMPLY] dishonest [PERIOD]
stormy [AND] lonely [AND] agreeable [IMPLY] nervous [PERIOD]
sensible [AND] dishonest [AND] unpleasant [IMPLY] impatient [PERIOD]
pessimistic [AND] foolish [IMPLY] gorgeous [PERIOD]
supportive [IMPLY] attentive [PERIOD]
gorgeous [AND] foolish [IMPLY] sleepy [PERIOD]
outrageous [AND] straightforward [AND] supportive [IMPLY] tidy [PERIOD]
glamorous [IMPLY] straightforward [PERIOD]
messy [AND] sensible [IMPLY] adorable [PERIOD]
supportive [IMPLY] outrageous [PERIOD]
lonely [AND] supportive [IMPLY] outrageous [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   attentive ∧ different ⇒ messy
   messy ∧ different ⇒ glamorous
   attentive ∧ glamorous ⇒ unpleasant
",1,3
"Facts:  Alice is sincere [PERIOD] Alice is troubled [PERIOD]
Rules:
dull [IMPLY] broad-minded [PERIOD]
clean [IMPLY] popular [PERIOD]
dull [AND] popular [IMPLY] clean [PERIOD]
witty [AND] distinct [AND] sincere [IMPLY] broad-minded [PERIOD]
distinct [AND] cute [IMPLY] silly [PERIOD]
tame [AND] sincere [AND] cute [IMPLY] clean [PERIOD]
perfect [IMPLY] broad-minded [PERIOD]
silly [IMPLY] dull [PERIOD]
dull [AND] silly [IMPLY] broad-minded [PERIOD]
sincere [IMPLY] clean [PERIOD]
dishonest [IMPLY] sincere [PERIOD]
dishonest [IMPLY] popular [PERIOD]
perfect [AND] dishonest [AND] clean [IMPLY] sincere [PERIOD]
broad-minded [IMPLY] popular [PERIOD]
troubled [AND] sincere [AND] dull [IMPLY] tame [PERIOD]
distinct [AND] dishonest [AND] witty [IMPLY] silly [PERIOD]
silly [IMPLY] cute [PERIOD]
popular [AND] troubled [AND] sincere [IMPLY] dull [PERIOD]
clean [AND] popular [AND] dishonest [IMPLY] tame [PERIOD]
popular [AND] sincere [AND] perfect [IMPLY] dishonest [PERIOD]
witty [IMPLY] dishonest [PERIOD]
broad-minded [IMPLY] dull [PERIOD]
troubled [AND] clean [AND] witty [IMPLY] dull [PERIOD]
popular [IMPLY] troubled [PERIOD]
dull [IMPLY] popular [PERIOD]
silly [IMPLY] sincere [PERIOD]
popular [AND] sincere [AND] dishonest [IMPLY] cute [PERIOD]
clean [IMPLY] tame [PERIOD]
perfect [AND] troubled [IMPLY] broad-minded [PERIOD]
troubled [AND] silly [AND] dull [IMPLY] tame [PERIOD]
broad-minded [AND] dull [IMPLY] sincere [PERIOD]
sincere [AND] silly [IMPLY] popular [PERIOD]
dishonest [IMPLY] cute [PERIOD]
dishonest [IMPLY] clean [PERIOD]
dishonest [IMPLY] distinct [PERIOD]
troubled [AND] cute [AND] sincere [IMPLY] popular [PERIOD]
broad-minded [IMPLY] dishonest [PERIOD]
witty [AND] troubled [AND] dishonest [IMPLY] cute [PERIOD]
dishonest [IMPLY] perfect [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   sincere ⇒ clean
   clean ⇒ popular
   popular ∧ troubled ∧ sincere ⇒ dull
   dull ⇒ broad-minded
",1,4
"Facts:  Alice is jittery [PERIOD] Alice is adorable [PERIOD] Alice is thoughtful [PERIOD] Alice is famous [PERIOD] Alice is condemned [PERIOD] Alice is distinct [PERIOD] Alice is strange [PERIOD] Alice is proud [PERIOD] Alice is unpleasant [PERIOD] Alice is quaint [PERIOD] Alice is broad-minded [PERIOD] Alice is long [PERIOD] Alice is zealous [PERIOD] Alice is gifted [PERIOD]
Rules:
unpleasant [AND] distinct [AND] zealous [IMPLY] gifted [PERIOD]
zealous [IMPLY] unpleasant [PERIOD]
fine [IMPLY] jittery [PERIOD]
quaint [IMPLY] distinct [PERIOD]
disgusted [AND] lucky [IMPLY] distinct [PERIOD]
adorable [IMPLY] diplomatic [PERIOD]
long [AND] unpleasant [AND] diplomatic [IMPLY] proud [PERIOD]
fine [AND] jittery [IMPLY] mysterious [PERIOD]
distinct [AND] disgusted [IMPLY] bright [PERIOD]
lucky [IMPLY] diplomatic [PERIOD]
strange [AND] quaint [IMPLY] unpleasant [PERIOD]
unpleasant [AND] distinct [AND] broad-minded [IMPLY] famous [PERIOD]
proud [AND] disgusted [AND] bright [IMPLY] thoughtful [PERIOD]
quaint [AND] fine [AND] thoughtful [IMPLY] distinct [PERIOD]
condemned [IMPLY] thoughtful [PERIOD]
adorable [AND] proud [IMPLY] unpleasant [PERIOD]
fine [IMPLY] zealous [PERIOD]
adorable [AND] condemned [IMPLY] diplomatic [PERIOD]
famous [AND] bright [AND] quaint [IMPLY] mysterious [PERIOD]
broad-minded [IMPLY] distinct [PERIOD]
proud [AND] distinct [IMPLY] quaint [PERIOD]
gifted [AND] distinct [IMPLY] fine [PERIOD]
thoughtful [AND] broad-minded [IMPLY] strange [PERIOD]
distinct [AND] thoughtful [AND] fine [IMPLY] quaint [PERIOD]
gifted [AND] diplomatic [IMPLY] thoughtful [PERIOD]
fine [AND] quaint [AND] unpleasant [IMPLY] proud [PERIOD]
long [AND] disgusted [AND] zealous [IMPLY] gifted [PERIOD]
proud [AND] long [AND] bright [IMPLY] famous [PERIOD]
condemned [AND] fine [IMPLY] disgusted [PERIOD]
bright [IMPLY] famous [PERIOD]
broad-minded [AND] disgusted [AND] long [IMPLY] zealous [PERIOD]
distinct [AND] broad-minded [AND] diplomatic [IMPLY] mysterious [PERIOD]
thoughtful [AND] mysterious [AND] lucky [IMPLY] quaint [PERIOD]
condemned [AND] fine [IMPLY] quaint [PERIOD]
famous [AND] long [IMPLY] mysterious [PERIOD]
mysterious [AND] quaint [AND] gifted [IMPLY] unpleasant [PERIOD]
distinct [AND] disgusted [AND] diplomatic [IMPLY] mysterious [PERIOD]
diplomatic [AND] thoughtful [AND] mysterious [IMPLY] famous [PERIOD]
famous [AND] gifted [AND] unpleasant [IMPLY] disgusted [PERIOD]
unpleasant [IMPLY] quaint [PERIOD]
disgusted [AND] thoughtful [AND] condemned [IMPLY] proud [PERIOD]
zealous [IMPLY] bright [PERIOD]
diplomatic [AND] zealous [AND] unpleasant [IMPLY] condemned [PERIOD]
fine [AND] disgusted [AND] diplomatic [IMPLY] mysterious [PERIOD]
mysterious [AND] bright [IMPLY] quaint [PERIOD]
famous [AND] adorable [AND] thoughtful [IMPLY] diplomatic [PERIOD]
long [AND] adorable [IMPLY] lucky [PERIOD]
diplomatic [IMPLY] long [PERIOD]
mysterious [AND] proud [AND] zealous [IMPLY] bright [PERIOD]
strange [IMPLY] quaint [PERIOD]
jittery [AND] lucky [IMPLY] proud [PERIOD]
distinct [AND] lucky [IMPLY] gifted [PERIOD]
broad-minded [AND] long [IMPLY] quaint [PERIOD]
broad-minded [IMPLY] gifted [PERIOD]
strange [AND] adorable [AND] zealous [IMPLY] jittery [PERIOD]
condemned [IMPLY] disgusted [PERIOD]
jittery [AND] bright [IMPLY] diplomatic [PERIOD]
bright [AND] broad-minded [IMPLY] strange [PERIOD]
condemned [AND] broad-minded [AND] mysterious [IMPLY] strange [PERIOD]
disgusted [AND] adorable [AND] strange [IMPLY] quaint [PERIOD]
lucky [AND] condemned [IMPLY] gifted [PERIOD]
bright [IMPLY] long [PERIOD]
broad-minded [IMPLY] diplomatic [PERIOD]
distinct [IMPLY] mysterious [PERIOD]
gifted [AND] lucky [AND] thoughtful [IMPLY] famous [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is plain [PERIOD] Alice is frantic [PERIOD] Alice is nervous [PERIOD] Alice is foolish [PERIOD] Alice is fearless [PERIOD]
Rules:
curious [AND] foolish [IMPLY] rational [PERIOD]
foolish [IMPLY] nervous [PERIOD]
elated [IMPLY] nervous [PERIOD]
rational [AND] nervous [AND] curious [IMPLY] frantic [PERIOD]
curious [AND] frantic [IMPLY] foolish [PERIOD]
rational [IMPLY] elated [PERIOD]
curious [IMPLY] fearless [PERIOD]
curious [AND] frantic [AND] fearless [IMPLY] elated [PERIOD]
curious [IMPLY] elated [PERIOD]
foolish [IMPLY] frantic [PERIOD]
elated [IMPLY] curious [PERIOD]
elated [AND] frantic [IMPLY] rational [PERIOD]
nervous [IMPLY] rational [PERIOD]
plain [AND] foolish [IMPLY] elated [PERIOD]
nervous [AND] fearless [IMPLY] plain [PERIOD]
rational [AND] curious [AND] frantic [IMPLY] foolish [PERIOD]
curious [AND] frantic [IMPLY] rational [PERIOD]
curious [IMPLY] foolish [PERIOD]
frantic [AND] curious [IMPLY] plain [PERIOD]
frantic [AND] fearless [IMPLY] elated [PERIOD]
foolish [AND] frantic [IMPLY] curious [PERIOD]
curious [IMPLY] nervous [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   frantic ∧ fearless ⇒ elated
",1,1
"Facts:  Alice is famous [PERIOD] Alice is reserved [PERIOD] Alice is thoughtful [PERIOD] Alice is spotless [PERIOD] Alice is quaint [PERIOD] Alice is thoughtless [PERIOD] Alice is nervous [PERIOD]
Rules:
light [AND] calm [AND] busy [IMPLY] lucky [PERIOD]
crowded [AND] fine [AND] quaint [IMPLY] thoughtless [PERIOD]
thoughtless [AND] unpleasant [AND] disobedient [IMPLY] powerful [PERIOD]
busy [IMPLY] unpleasant [PERIOD]
courageous [AND] average [AND] charming [IMPLY] busy [PERIOD]
calm [AND] spotless [IMPLY] disobedient [PERIOD]
famous [AND] outstanding [AND] lucky [IMPLY] average [PERIOD]
amused [AND] homely [IMPLY] thoughtful [PERIOD]
thoughtful [AND] charming [AND] amused [IMPLY] combative [PERIOD]
spotless [AND] lucky [AND] famous [IMPLY] average [PERIOD]
calm [IMPLY] nervous [PERIOD]
combative [AND] worried [AND] crowded [IMPLY] amused [PERIOD]
modern [AND] light [IMPLY] lucky [PERIOD]
outstanding [AND] powerful [AND] reserved [IMPLY] comfortable [PERIOD]
thoughtless [AND] thoughtful [AND] busy [IMPLY] powerful [PERIOD]
spotless [AND] unpleasant [IMPLY] reserved [PERIOD]
modern [IMPLY] nervous [PERIOD]
worried [AND] reserved [IMPLY] spotless [PERIOD]
modern [AND] comfortable [IMPLY] courageous [PERIOD]
worried [AND] nervous [AND] quaint [IMPLY] average [PERIOD]
quaint [AND] modern [AND] spotless [IMPLY] unpleasant [PERIOD]
crowded [AND] lucky [AND] outstanding [IMPLY] combative [PERIOD]
nervous [IMPLY] combative [PERIOD]
cute [AND] comfortable [IMPLY] disobedient [PERIOD]
nervous [AND] courageous [AND] unpleasant [IMPLY] famous [PERIOD]
lucky [IMPLY] modern [PERIOD]
amused [AND] disobedient [AND] courageous [IMPLY] nervous [PERIOD]
average [IMPLY] calm [PERIOD]
powerful [AND] quaint [AND] homely [IMPLY] light [PERIOD]
spotless [IMPLY] worried [PERIOD]
disobedient [IMPLY] spotless [PERIOD]
average [IMPLY] homely [PERIOD]
homely [IMPLY] comfortable [PERIOD]
thoughtful [IMPLY] crowded [PERIOD]
worried [AND] outstanding [IMPLY] comfortable [PERIOD]
homely [AND] outstanding [AND] worried [IMPLY] charming [PERIOD]
comfortable [AND] disobedient [IMPLY] charming [PERIOD]
worried [AND] powerful [IMPLY] amused [PERIOD]
worried [AND] crowded [AND] spotless [IMPLY] calm [PERIOD]
quaint [AND] famous [IMPLY] nervous [PERIOD]
light [IMPLY] fine [PERIOD]
average [AND] modern [AND] quaint [IMPLY] homely [PERIOD]
thoughtless [IMPLY] average [PERIOD]
cute [AND] light [IMPLY] crowded [PERIOD]
homely [IMPLY] powerful [PERIOD]
courageous [AND] busy [IMPLY] fine [PERIOD]
worried [AND] famous [IMPLY] nervous [PERIOD]
comfortable [AND] unpleasant [IMPLY] powerful [PERIOD]
comfortable [IMPLY] charming [PERIOD]
courageous [AND] charming [IMPLY] cute [PERIOD]
famous [AND] outstanding [AND] amused [IMPLY] nervous [PERIOD]
average [AND] spotless [IMPLY] busy [PERIOD]
famous [IMPLY] quaint [PERIOD]
amused [IMPLY] comfortable [PERIOD]
reserved [IMPLY] crowded [PERIOD]
homely [AND] crowded [IMPLY] average [PERIOD]
fine [IMPLY] light [PERIOD]
outstanding [IMPLY] crowded [PERIOD]
calm [AND] lucky [AND] comfortable [IMPLY] famous [PERIOD]
homely [AND] busy [IMPLY] reserved [PERIOD]
combative [AND] lucky [AND] charming [IMPLY] thoughtful [PERIOD]
reserved [AND] combative [AND] homely [IMPLY] unpleasant [PERIOD]
cute [IMPLY] amused [PERIOD]
nervous [AND] thoughtless [IMPLY] amused [PERIOD]
worried [AND] nervous [AND] powerful [IMPLY] modern [PERIOD]
calm [IMPLY] thoughtful [PERIOD]
courageous [AND] thoughtful [AND] quaint [IMPLY] thoughtless [PERIOD]
modern [AND] comfortable [AND] unpleasant [IMPLY] spotless [PERIOD]
outstanding [AND] courageous [AND] cute [IMPLY] modern [PERIOD]
worried [AND] nervous [AND] crowded [IMPLY] fine [PERIOD]
nervous [AND] thoughtful [AND] comfortable [IMPLY] powerful [PERIOD]
crowded [AND] light [AND] charming [IMPLY] thoughtless [PERIOD]
charming [IMPLY] crowded [PERIOD]
fine [AND] powerful [IMPLY] courageous [PERIOD]
disobedient [IMPLY] courageous [PERIOD]
thoughtless [AND] outstanding [AND] calm [IMPLY] modern [PERIOD]
homely [IMPLY] lucky [PERIOD]
reserved [AND] modern [IMPLY] lucky [PERIOD]
spotless [AND] unpleasant [AND] amused [IMPLY] charming [PERIOD]
charming [AND] fine [AND] comfortable [IMPLY] light [PERIOD]
thoughtful [IMPLY] charming [PERIOD]
fine [AND] charming [IMPLY] average [PERIOD]
disobedient [AND] combative [AND] outstanding [IMPLY] famous [PERIOD]
unpleasant [AND] thoughtful [IMPLY] reserved [PERIOD]
lucky [AND] amused [IMPLY] thoughtful [PERIOD]
light [AND] courageous [AND] charming [IMPLY] busy [PERIOD]
average [AND] lucky [AND] amused [IMPLY] modern [PERIOD]
powerful [IMPLY] courageous [PERIOD]
lucky [AND] crowded [AND] famous [IMPLY] light [PERIOD]
courageous [AND] worried [AND] combative [IMPLY] amused [PERIOD]
powerful [IMPLY] worried [PERIOD]
famous [AND] thoughtless [AND] quaint [IMPLY] spotless [PERIOD]
reserved [IMPLY] homely [PERIOD]
reserved [IMPLY] lucky [PERIOD]
nervous [IMPLY] reserved [PERIOD]
calm [AND] quaint [IMPLY] famous [PERIOD]
fine [IMPLY] crowded [PERIOD]
quaint [AND] calm [AND] busy [IMPLY] amused [PERIOD]
calm [AND] busy [AND] worried [IMPLY] spotless [PERIOD]
cute [AND] comfortable [IMPLY] light [PERIOD]
courageous [AND] combative [IMPLY] worried [PERIOD]
charming [IMPLY] spotless [PERIOD]
nervous [IMPLY] average [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   reserved ⇒ lucky
   lucky ⇒ modern
   nervous ∧ thoughtless ⇒ amused
   amused ⇒ comfortable
   modern ∧ comfortable ⇒ courageous
   thoughtful ⇒ charming
   courageous ∧ charming ⇒ cute
",1,7
"Facts:  Alice is rude [PERIOD] Alice is quaint [PERIOD]
Rules:
ambitious [IMPLY] quaint [PERIOD]
quaint [AND] horrible [IMPLY] diplomatic [PERIOD]
combative [AND] quaint [AND] diplomatic [IMPLY] distinct [PERIOD]
rude [IMPLY] easy [PERIOD]
worrisome [IMPLY] cute [PERIOD]
horrible [IMPLY] fragile [PERIOD]
worrisome [IMPLY] good [PERIOD]
rude [AND] diplomatic [IMPLY] cooperative [PERIOD]
rude [IMPLY] cooperative [PERIOD]
cute [AND] easy [IMPLY] rude [PERIOD]
wandering [IMPLY] cooperative [PERIOD]
rude [IMPLY] fragile [PERIOD]
distinct [AND] diplomatic [AND] cute [IMPLY] good [PERIOD]
quaint [IMPLY] cooperative [PERIOD]
cooperative [AND] cute [AND] fragile [IMPLY] combative [PERIOD]
good [AND] ambitious [IMPLY] combative [PERIOD]
wandering [AND] easy [IMPLY] horrible [PERIOD]
easy [AND] fragile [AND] quaint [IMPLY] diplomatic [PERIOD]
cute [AND] horrible [IMPLY] wandering [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
   Cannot apply rule “worrisome ⇒ good” because missing: worrisome.
   rude ⇒ easy
   rude ⇒ fragile
   easy ∧ fragile ∧ quaint ⇒ diplomatic
   Cannot apply rule “distinct ∧ diplomatic ∧ cute ⇒ good” because missing: distinct, cute.
",0,5
"Facts:  Alice is ugly [PERIOD] Alice is tender [PERIOD] Alice is beautiful [PERIOD] Alice is cruel [PERIOD]
Rules:
horrible [AND] pleasant [IMPLY] adorable [PERIOD]
serious [AND] confused [IMPLY] beautiful [PERIOD]
zealous [AND] disobedient [IMPLY] confused [PERIOD]
hypocritical [IMPLY] cruel [PERIOD]
tender [IMPLY] hypocritical [PERIOD]
beautiful [AND] naughty [AND] excited [IMPLY] tame [PERIOD]
adorable [IMPLY] ugly [PERIOD]
cruel [AND] adorable [IMPLY] straightforward [PERIOD]
pleasant [AND] naughty [IMPLY] loving [PERIOD]
adorable [IMPLY] tender [PERIOD]
straightforward [IMPLY] different [PERIOD]
cruel [AND] excited [IMPLY] pleasant [PERIOD]
horrible [IMPLY] straightforward [PERIOD]
horrible [AND] sleepy [AND] cruel [IMPLY] naughty [PERIOD]
disobedient [IMPLY] serious [PERIOD]
zealous [AND] cruel [IMPLY] excited [PERIOD]
zealous [AND] pleasant [IMPLY] adorable [PERIOD]
zealous [AND] hypocritical [AND] adorable [IMPLY] serious [PERIOD]
loving [AND] hypocritical [AND] different [IMPLY] pleasant [PERIOD]
excited [AND] disobedient [AND] loving [IMPLY] confused [PERIOD]
ugly [IMPLY] tender [PERIOD]
pleasant [AND] ugly [AND] sleepy [IMPLY] beautiful [PERIOD]
disobedient [AND] thoughtful [AND] stupid [IMPLY] naughty [PERIOD]
horrible [IMPLY] excited [PERIOD]
horrible [AND] stupid [IMPLY] loving [PERIOD]
ugly [AND] straightforward [IMPLY] horrible [PERIOD]
different [IMPLY] naughty [PERIOD]
disobedient [AND] serious [IMPLY] tame [PERIOD]
different [AND] confused [AND] adorable [IMPLY] pleasant [PERIOD]
ugly [AND] thoughtful [IMPLY] cruel [PERIOD]
thoughtful [AND] cruel [AND] tame [IMPLY] tender [PERIOD]
confused [IMPLY] thoughtful [PERIOD]
pleasant [AND] cruel [AND] beautiful [IMPLY] serious [PERIOD]
stupid [IMPLY] adorable [PERIOD]
hypocritical [IMPLY] sleepy [PERIOD]
naughty [IMPLY] confused [PERIOD]
excited [IMPLY] cruel [PERIOD]
cruel [AND] different [AND] tame [IMPLY] ugly [PERIOD]
ugly [IMPLY] straightforward [PERIOD]
confused [AND] horrible [IMPLY] hypocritical [PERIOD]
excited [IMPLY] pleasant [PERIOD]
beautiful [IMPLY] thoughtful [PERIOD]
excited [IMPLY] confused [PERIOD]
tender [IMPLY] beautiful [PERIOD]
tame [AND] tender [IMPLY] zealous [PERIOD]
tame [IMPLY] naughty [PERIOD]
excited [AND] thoughtful [AND] serious [IMPLY] tame [PERIOD]
thoughtful [AND] disobedient [IMPLY] horrible [PERIOD]
hypocritical [AND] disobedient [AND] confused [IMPLY] tender [PERIOD]
serious [AND] straightforward [AND] beautiful [IMPLY] excited [PERIOD]
sleepy [IMPLY] tender [PERIOD]
straightforward [AND] horrible [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] different [PERIOD]
loving [AND] ugly [IMPLY] stupid [PERIOD]
stupid [AND] serious [IMPLY] different [PERIOD]
confused [AND] tender [AND] adorable [IMPLY] cruel [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   ugly ⇒ straightforward
   ugly ∧ straightforward ⇒ horrible
   horrible ⇒ excited
   excited ⇒ confused
",1,4
"Facts:  Alice is comfortable [PERIOD] Alice is anxious [PERIOD] Alice is frail [PERIOD] Alice is outrageous [PERIOD] Alice is pessimistic [PERIOD] Alice is condemned [PERIOD] Alice is elated [PERIOD] Alice is cute [PERIOD] Alice is wide-eyed [PERIOD] Alice is shiny [PERIOD] Alice is clean [PERIOD] Alice is difficult [PERIOD]
Rules:
bossy [AND] clean [IMPLY] anxious [PERIOD]
clean [AND] anxious [AND] elegant [IMPLY] condemned [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   No rule concludes “bossy.”
",0,1
"Facts:  Alice is shy [PERIOD] Alice is supportive [PERIOD] Alice is exuberant [PERIOD] Alice is attentive [PERIOD] Alice is disgusted [PERIOD] Alice is unpleasant [PERIOD] Alice is hypocritical [PERIOD] Alice is calm [PERIOD] Alice is amused [PERIOD] Alice is pleasant [PERIOD]
Rules:
shy [IMPLY] attentive [PERIOD]
amused [AND] bad-tempered [AND] exuberant [IMPLY] shy [PERIOD]
unpleasant [AND] wide-eyed [AND] amused [IMPLY] exuberant [PERIOD]
horrible [AND] supportive [IMPLY] unpleasant [PERIOD]
attentive [AND] calm [IMPLY] exuberant [PERIOD]
horrible [IMPLY] weary [PERIOD]
pleasant [IMPLY] weary [PERIOD]
pleasant [IMPLY] wide-eyed [PERIOD]
exuberant [AND] amused [AND] hypocritical [IMPLY] horrible [PERIOD]
hypocritical [AND] horrible [IMPLY] unpleasant [PERIOD]
hypocritical [AND] diplomatic [IMPLY] wide-eyed [PERIOD]
hypocritical [AND] attentive [IMPLY] disgusted [PERIOD]
hypocritical [IMPLY] shy [PERIOD]
amused [AND] shy [IMPLY] weary [PERIOD]
attentive [IMPLY] shy [PERIOD]
weary [AND] diplomatic [AND] calm [IMPLY] exuberant [PERIOD]
diplomatic [AND] amused [IMPLY] bad-tempered [PERIOD]
diplomatic [AND] horrible [AND] weary [IMPLY] supportive [PERIOD]
attentive [IMPLY] wide-eyed [PERIOD]
horrible [AND] amused [IMPLY] attentive [PERIOD]
diplomatic [AND] amused [AND] attentive [IMPLY] wide-eyed [PERIOD]
horrible [IMPLY] unpleasant [PERIOD]
pleasant [AND] diplomatic [IMPLY] disgusted [PERIOD]
bad-tempered [AND] calm [AND] horrible [IMPLY] attentive [PERIOD]
supportive [AND] amused [AND] wide-eyed [IMPLY] bad-tempered [PERIOD]
unpleasant [IMPLY] supportive [PERIOD]
calm [AND] disgusted [IMPLY] weary [PERIOD]
shy [AND] wide-eyed [AND] disgusted [IMPLY] exuberant [PERIOD]
disgusted [IMPLY] diplomatic [PERIOD]
disgusted [AND] horrible [IMPLY] supportive [PERIOD]
unpleasant [AND] bad-tempered [AND] exuberant [IMPLY] horrible [PERIOD]
unpleasant [AND] attentive [IMPLY] supportive [PERIOD]
amused [AND] bad-tempered [IMPLY] hypocritical [PERIOD]
bad-tempered [AND] wide-eyed [IMPLY] hypocritical [PERIOD]
attentive [AND] unpleasant [AND] calm [IMPLY] pleasant [PERIOD]
calm [AND] attentive [IMPLY] disgusted [PERIOD]
shy [IMPLY] unpleasant [PERIOD]
attentive [IMPLY] pleasant [PERIOD]
exuberant [AND] attentive [IMPLY] calm [PERIOD]
diplomatic [AND] unpleasant [IMPLY] amused [PERIOD]
amused [IMPLY] unpleasant [PERIOD]
attentive [IMPLY] hypocritical [PERIOD]
weary [IMPLY] calm [PERIOD]
shy [AND] exuberant [IMPLY] pleasant [PERIOD]
unpleasant [AND] bad-tempered [AND] hypocritical [IMPLY] supportive [PERIOD]
wide-eyed [AND] weary [AND] diplomatic [IMPLY] calm [PERIOD]
horrible [AND] supportive [AND] pleasant [IMPLY] attentive [PERIOD]
hypocritical [IMPLY] supportive [PERIOD]
supportive [IMPLY] wide-eyed [PERIOD]
amused [AND] diplomatic [AND] shy [IMPLY] wide-eyed [PERIOD]
pleasant [IMPLY] bad-tempered [PERIOD]
unpleasant [AND] wide-eyed [IMPLY] weary [PERIOD]
bad-tempered [AND] amused [AND] pleasant [IMPLY] wide-eyed [PERIOD]
attentive [IMPLY] calm [PERIOD]
amused [AND] supportive [AND] unpleasant [IMPLY] pleasant [PERIOD]
unpleasant [AND] bad-tempered [AND] shy [IMPLY] wide-eyed [PERIOD]
unpleasant [AND] disgusted [IMPLY] attentive [PERIOD]
attentive [AND] shy [IMPLY] wide-eyed [PERIOD]
disgusted [IMPLY] attentive [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   calm ∧ disgusted ⇒ weary
",1,1
"Facts: 
Rules:
elated [AND] dishonest [IMPLY] muddy [PERIOD]
ambitious [AND] tender [IMPLY] rational [PERIOD]
versatile [IMPLY] bad-tempered [PERIOD]
dishonest [IMPLY] rational [PERIOD]
rational [IMPLY] ambitious [PERIOD]
attentive [AND] versatile [AND] dishonest [IMPLY] outrageous [PERIOD]
impartial [AND] courageous [AND] tender [IMPLY] joyous [PERIOD]
dishonest [AND] elated [IMPLY] tender [PERIOD]
muddy [AND] courageous [AND] joyous [IMPLY] frantic [PERIOD]
attentive [IMPLY] frantic [PERIOD]
blushing [AND] versatile [IMPLY] stubborn [PERIOD]
dishonest [AND] ambitious [IMPLY] frantic [PERIOD]
loving [AND] courageous [IMPLY] joyous [PERIOD]
tender [IMPLY] versatile [PERIOD]
loving [IMPLY] fancy [PERIOD]
blushing [AND] diplomatic [IMPLY] tender [PERIOD]
dishonest [IMPLY] outrageous [PERIOD]
courageous [AND] blushing [AND] stubborn [IMPLY] impartial [PERIOD]
versatile [AND] stubborn [AND] tender [IMPLY] elated [PERIOD]
blushing [IMPLY] bad-tempered [PERIOD]
uptight [AND] rational [IMPLY] tender [PERIOD]
impartial [AND] rational [AND] attentive [IMPLY] loving [PERIOD]
courageous [IMPLY] attentive [PERIOD]
fancy [IMPLY] uptight [PERIOD]
hypocritical [AND] muddy [IMPLY] loving [PERIOD]
attentive [AND] blushing [IMPLY] muddy [PERIOD]
hypocritical [AND] bad-tempered [IMPLY] impartial [PERIOD]
bad-tempered [AND] uptight [AND] impartial [IMPLY] outrageous [PERIOD]
joyous [AND] dishonest [IMPLY] ambitious [PERIOD]
versatile [IMPLY] hypocritical [PERIOD]
dishonest [IMPLY] tender [PERIOD]
joyous [AND] ambitious [AND] muddy [IMPLY] versatile [PERIOD]
blushing [AND] hypocritical [AND] muddy [IMPLY] diplomatic [PERIOD]
frantic [IMPLY] versatile [PERIOD]
fancy [IMPLY] hypocritical [PERIOD]
dishonest [AND] tender [IMPLY] impartial [PERIOD]
dishonest [AND] versatile [AND] attentive [IMPLY] rational [PERIOD]
outrageous [IMPLY] blushing [PERIOD]
courageous [IMPLY] hypocritical [PERIOD]
blushing [AND] rational [IMPLY] ambitious [PERIOD]
courageous [AND] versatile [IMPLY] outrageous [PERIOD]
impartial [AND] joyous [AND] tender [IMPLY] diplomatic [PERIOD]
dishonest [AND] diplomatic [IMPLY] versatile [PERIOD]
ambitious [IMPLY] loving [PERIOD]
outrageous [AND] joyous [AND] rational [IMPLY] attentive [PERIOD]
courageous [AND] joyous [AND] versatile [IMPLY] frantic [PERIOD]
ambitious [IMPLY] impartial [PERIOD]
loving [IMPLY] muddy [PERIOD]
tender [AND] hypocritical [AND] rational [IMPLY] outrageous [PERIOD]
impartial [AND] joyous [IMPLY] elated [PERIOD]
outrageous [AND] versatile [AND] courageous [IMPLY] frantic [PERIOD]
outrageous [IMPLY] tender [PERIOD]
frantic [AND] impartial [IMPLY] diplomatic [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   Cannot apply rule “dishonest ∧ elated ⇒ tender” because missing: dishonest, elated.
   Cannot apply rule “blushing ∧ diplomatic ⇒ tender” because missing: blushing, diplomatic.
   Cannot apply rule “uptight ∧ rational ⇒ tender” because missing: uptight, rational.
   Cannot apply rule “dishonest ⇒ tender” because missing: dishonest.
   Cannot apply rule “outrageous ⇒ tender” because missing: outrageous.
",0,5
"Facts: 
Rules:
mysterious [IMPLY] inquisitive [PERIOD]
quaint [AND] inquisitive [IMPLY] stupid [PERIOD]
inquisitive [IMPLY] quaint [PERIOD]
inquisitive [AND] mysterious [AND] stupid [IMPLY] glamorous [PERIOD]
mysterious [AND] stupid [AND] glamorous [IMPLY] quaint [PERIOD]
glamorous [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] glamorous [PERIOD]
mysterious [AND] ambitious [AND] quaint [IMPLY] inquisitive [PERIOD]
glamorous [IMPLY] mysterious [PERIOD]
mysterious [AND] ambitious [IMPLY] quaint [PERIOD]
glamorous [IMPLY] quaint [PERIOD]
mysterious [AND] glamorous [IMPLY] ambitious [PERIOD]
mysterious [AND] inquisitive [AND] ambitious [IMPLY] quaint [PERIOD]
quaint [AND] inquisitive [IMPLY] ambitious [PERIOD]
mysterious [AND] glamorous [IMPLY] quaint [PERIOD]
quaint [AND] inquisitive [IMPLY] glamorous [PERIOD]
ambitious [AND] inquisitive [IMPLY] quaint [PERIOD]
ambitious [AND] glamorous [IMPLY] stupid [PERIOD]
ambitious [AND] stupid [IMPLY] glamorous [PERIOD]
quaint [AND] glamorous [IMPLY] mysterious [PERIOD]
stupid [AND] inquisitive [AND] mysterious [IMPLY] ambitious [PERIOD]
inquisitive [AND] glamorous [AND] ambitious [IMPLY] quaint [PERIOD]
ambitious [IMPLY] inquisitive [PERIOD]
ambitious [AND] quaint [AND] mysterious [IMPLY] stupid [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   Cannot apply rule “quaint ∧ inquisitive ⇒ stupid” because missing: quaint, inquisitive.
   Cannot apply rule “ambitious ∧ glamorous ⇒ stupid” because missing: ambitious, glamorous.
   Cannot apply rule “ambitious ∧ quaint ∧ mysterious ⇒ stupid” because missing: ambitious, quaint, mysterious.
",0,3
"Facts:  Alice is loving [PERIOD] Alice is nervous [PERIOD] Alice is clumsy [PERIOD] Alice is cruel [PERIOD] Alice is different [PERIOD]
Rules:
different [AND] clumsy [AND] loving [IMPLY] cruel [PERIOD]
innocent [AND] clumsy [AND] cruel [IMPLY] loving [PERIOD]
clumsy [IMPLY] loving [PERIOD]
different [IMPLY] loving [PERIOD]
different [AND] innocent [AND] cruel [IMPLY] loving [PERIOD]
loving [IMPLY] innocent [PERIOD]
innocent [AND] loving [AND] different [IMPLY] cruel [PERIOD]
different [AND] innocent [IMPLY] cruel [PERIOD]
different [IMPLY] cruel [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is polite [PERIOD] Alice is impatient [PERIOD]
Rules:
bright [AND] impatient [AND] bored [IMPLY] stormy [PERIOD]
elegant [AND] comfortable [IMPLY] uptight [PERIOD]
dishonest [AND] wrong [AND] shy [IMPLY] stormy [PERIOD]
agreeable [AND] beautiful [IMPLY] dull [PERIOD]
bad-tempered [AND] wrong [IMPLY] dull [PERIOD]
famous [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] famous [IMPLY] bright [PERIOD]
bored [IMPLY] beautiful [PERIOD]
wrong [AND] powerful [IMPLY] uptight [PERIOD]
wrong [IMPLY] stormy [PERIOD]
dishonest [AND] condemned [IMPLY] agreeable [PERIOD]
polite [AND] famous [AND] comfortable [IMPLY] impatient [PERIOD]
reserved [IMPLY] polite [PERIOD]
impatient [IMPLY] dishonest [PERIOD]
agreeable [AND] dull [AND] bad-tempered [IMPLY] impatient [PERIOD]
dull [AND] comfortable [IMPLY] agreeable [PERIOD]
shy [AND] impatient [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] bright [PERIOD]
bored [AND] bright [IMPLY] uptight [PERIOD]
powerful [IMPLY] bad-tempered [PERIOD]
famous [AND] bright [AND] shy [IMPLY] beautiful [PERIOD]
bad-tempered [AND] polite [IMPLY] comfortable [PERIOD]
bored [AND] elegant [AND] beautiful [IMPLY] powerful [PERIOD]
stormy [AND] shy [IMPLY] famous [PERIOD]
bored [AND] bright [AND] agreeable [IMPLY] powerful [PERIOD]
shy [AND] wrong [AND] dull [IMPLY] polite [PERIOD]
beautiful [AND] elegant [AND] bad-tempered [IMPLY] polite [PERIOD]
uptight [AND] agreeable [IMPLY] famous [PERIOD]
dull [AND] wrong [AND] bored [IMPLY] condemned [PERIOD]
famous [AND] polite [IMPLY] powerful [PERIOD]
bored [IMPLY] comfortable [PERIOD]
impatient [IMPLY] polite [PERIOD]
powerful [IMPLY] agreeable [PERIOD]
bored [AND] bad-tempered [AND] condemned [IMPLY] powerful [PERIOD]
elegant [IMPLY] polite [PERIOD]
dishonest [AND] elegant [IMPLY] comfortable [PERIOD]
beautiful [AND] stormy [AND] wrong [IMPLY] powerful [PERIOD]
agreeable [AND] dishonest [AND] bad-tempered [IMPLY] bright [PERIOD]
bored [AND] comfortable [IMPLY] shy [PERIOD]
agreeable [IMPLY] bored [PERIOD]
bored [AND] reserved [AND] impatient [IMPLY] elegant [PERIOD]
famous [AND] stormy [AND] beautiful [IMPLY] comfortable [PERIOD]
polite [AND] bad-tempered [AND] famous [IMPLY] bored [PERIOD]
polite [AND] bored [AND] elegant [IMPLY] impatient [PERIOD]
reserved [IMPLY] wrong [PERIOD]
reserved [AND] elegant [IMPLY] wrong [PERIOD]
impatient [AND] elegant [AND] bored [IMPLY] shy [PERIOD]
agreeable [AND] elegant [IMPLY] dull [PERIOD]
agreeable [AND] comfortable [IMPLY] reserved [PERIOD]
stormy [AND] elegant [IMPLY] famous [PERIOD]
beautiful [IMPLY] reserved [PERIOD]
bored [AND] stormy [AND] condemned [IMPLY] agreeable [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   Cannot apply rule “bad-tempered ∧ famous ⇒ bright” because missing: bad-tempered, famous.
   Cannot apply rule “beautiful ⇒ bright” because missing: beautiful.
   impatient ⇒ dishonest
   Cannot apply rule “agreeable ∧ dishonest ∧ bad-tempered ⇒ bright” because missing: agreeable, bad-tempered.
",0,4
"Facts: 
Rules:
sleepy [AND] bored [IMPLY] alert [PERIOD]
sleepy [AND] weary [AND] spotless [IMPLY] stupid [PERIOD]
spotless [AND] bored [IMPLY] adorable [PERIOD]
sleepy [IMPLY] scared [PERIOD]
polite [AND] vivacious [IMPLY] spotless [PERIOD]
weary [AND] vivacious [IMPLY] mysterious [PERIOD]
cooperative [AND] frightened [IMPLY] polite [PERIOD]
weary [AND] stupid [AND] talkative [IMPLY] distinct [PERIOD]
weary [AND] alert [IMPLY] bored [PERIOD]
weary [IMPLY] sleepy [PERIOD]
polite [AND] shiny [AND] talkative [IMPLY] scared [PERIOD]
shiny [IMPLY] friendly [PERIOD]
alert [IMPLY] bored [PERIOD]
clumsy [AND] spotless [IMPLY] hilarious [PERIOD]
hilarious [AND] polite [IMPLY] mysterious [PERIOD]
adorable [AND] clumsy [AND] vivacious [IMPLY] distinct [PERIOD]
alert [AND] unpleasant [AND] distinct [IMPLY] vivacious [PERIOD]
friendly [AND] hilarious [AND] frightened [IMPLY] alert [PERIOD]
polite [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] friendly [PERIOD]
spotless [IMPLY] shiny [PERIOD]
friendly [AND] scared [AND] weary [IMPLY] alert [PERIOD]
vivacious [AND] adorable [IMPLY] friendly [PERIOD]
scared [AND] adorable [IMPLY] mysterious [PERIOD]
clumsy [AND] sleepy [IMPLY] cooperative [PERIOD]
talkative [IMPLY] distinct [PERIOD]
vivacious [IMPLY] mysterious [PERIOD]
friendly [AND] frightened [AND] shiny [IMPLY] unpleasant [PERIOD]
weary [AND] sleepy [IMPLY] talkative [PERIOD]
mysterious [AND] sleepy [IMPLY] friendly [PERIOD]
frightened [AND] hilarious [IMPLY] spotless [PERIOD]
sleepy [AND] adorable [IMPLY] polite [PERIOD]
mysterious [AND] weary [IMPLY] cooperative [PERIOD]
scared [IMPLY] polite [PERIOD]
frightened [IMPLY] distinct [PERIOD]
mysterious [AND] sleepy [AND] weary [IMPLY] scared [PERIOD]
scared [AND] alert [AND] spotless [IMPLY] stupid [PERIOD]
scared [AND] bored [IMPLY] frightened [PERIOD]
distinct [IMPLY] vivacious [PERIOD]
mysterious [IMPLY] weary [PERIOD]
frightened [AND] shiny [AND] friendly [IMPLY] vivacious [PERIOD]
talkative [IMPLY] shiny [PERIOD]
unpleasant [AND] talkative [IMPLY] weary [PERIOD]
shiny [AND] sleepy [IMPLY] vivacious [PERIOD]
clumsy [AND] weary [AND] alert [IMPLY] frightened [PERIOD]
distinct [AND] vivacious [IMPLY] scared [PERIOD]
mysterious [AND] shiny [AND] vivacious [IMPLY] hilarious [PERIOD]
bored [AND] shiny [IMPLY] alert [PERIOD]
distinct [IMPLY] scared [PERIOD]
distinct [IMPLY] talkative [PERIOD]
spotless [AND] cooperative [IMPLY] hilarious [PERIOD]
unpleasant [AND] distinct [AND] sleepy [IMPLY] stupid [PERIOD]
frightened [AND] stupid [IMPLY] mysterious [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   Cannot apply rule “clumsy ∧ sleepy ⇒ cooperative” because missing: clumsy, sleepy.
   Cannot apply rule “mysterious ∧ weary ⇒ cooperative” because missing: mysterious, weary.
",0,2
"Facts:  Alice is helpless [PERIOD] Alice is worried [PERIOD] Alice is fearless [PERIOD] Alice is diplomatic [PERIOD] Alice is attentive [PERIOD] Alice is amused [PERIOD] Alice is cruel [PERIOD] Alice is lucky [PERIOD] Alice is embarrassed [PERIOD] Alice is fancy [PERIOD] Alice is witty [PERIOD] Alice is thoughtless [PERIOD] Alice is grumpy [PERIOD] Alice is outrageous [PERIOD] Alice is courageous [PERIOD] Alice is agreeable [PERIOD] Alice is beautiful [PERIOD] Alice is helpful [PERIOD] Alice is supportive [PERIOD]
Rules:
agreeable [AND] bad-tempered [IMPLY] beautiful [PERIOD]
cruel [AND] attentive [IMPLY] elegant [PERIOD]
diplomatic [AND] bad-tempered [AND] embarrassed [IMPLY] light [PERIOD]
inexpensive [AND] cruel [AND] amused [IMPLY] diplomatic [PERIOD]
comfortable [AND] helpless [AND] courageous [IMPLY] versatile [PERIOD]
worried [IMPLY] inexpensive [PERIOD]
light [AND] attentive [IMPLY] supportive [PERIOD]
fancy [IMPLY] embarrassed [PERIOD]
fearless [IMPLY] witty [PERIOD]
embarrassed [AND] courageous [AND] supportive [IMPLY] helpful [PERIOD]
helpful [IMPLY] fancy [PERIOD]
elegant [AND] loving [AND] thoughtless [IMPLY] diplomatic [PERIOD]
bad-tempered [AND] comfortable [IMPLY] grumpy [PERIOD]
witty [IMPLY] agreeable [PERIOD]
light [AND] lucky [IMPLY] helpful [PERIOD]
diplomatic [AND] light [IMPLY] versatile [PERIOD]
crowded [IMPLY] diplomatic [PERIOD]
comfortable [AND] witty [IMPLY] helpless [PERIOD]
courageous [IMPLY] attentive [PERIOD]
thoughtless [IMPLY] bad-tempered [PERIOD]
amused [AND] fearless [AND] witty [IMPLY] courageous [PERIOD]
loving [AND] beautiful [AND] agreeable [IMPLY] outrageous [PERIOD]
stupid [AND] attentive [IMPLY] embarrassed [PERIOD]
light [AND] comfortable [AND] courageous [IMPLY] bad-tempered [PERIOD]
diplomatic [IMPLY] lucky [PERIOD]
comfortable [IMPLY] versatile [PERIOD]
thoughtless [AND] supportive [AND] agreeable [IMPLY] light [PERIOD]
supportive [AND] outrageous [AND] courageous [IMPLY] fancy [PERIOD]
lucky [AND] elegant [IMPLY] fancy [PERIOD]
versatile [AND] agreeable [IMPLY] worried [PERIOD]
agreeable [AND] stupid [AND] versatile [IMPLY] helpful [PERIOD]
loving [IMPLY] diplomatic [PERIOD]
grumpy [AND] light [IMPLY] bad-tempered [PERIOD]
cruel [IMPLY] beautiful [PERIOD]
amused [AND] lucky [IMPLY] cruel [PERIOD]
supportive [AND] versatile [IMPLY] thoughtless [PERIOD]
crowded [AND] agreeable [IMPLY] fearless [PERIOD]
grumpy [AND] outrageous [IMPLY] elegant [PERIOD]
lucky [IMPLY] beautiful [PERIOD]
embarrassed [AND] light [IMPLY] inexpensive [PERIOD]
diplomatic [AND] bad-tempered [IMPLY] helpful [PERIOD]
inexpensive [AND] crowded [IMPLY] grumpy [PERIOD]
bad-tempered [IMPLY] supportive [PERIOD]
grumpy [IMPLY] fearless [PERIOD]
fearless [IMPLY] fancy [PERIOD]
loving [IMPLY] courageous [PERIOD]
worried [AND] helpful [IMPLY] crowded [PERIOD]
helpless [IMPLY] helpful [PERIOD]
outrageous [AND] worried [AND] comfortable [IMPLY] beautiful [PERIOD]
beautiful [AND] comfortable [IMPLY] courageous [PERIOD]
beautiful [AND] helpless [AND] fearless [IMPLY] attentive [PERIOD]
supportive [AND] amused [IMPLY] embarrassed [PERIOD]
loving [IMPLY] beautiful [PERIOD]
grumpy [AND] helpless [IMPLY] elegant [PERIOD]
beautiful [IMPLY] stupid [PERIOD]
fancy [AND] light [AND] versatile [IMPLY] loving [PERIOD]
witty [AND] crowded [IMPLY] grumpy [PERIOD]
outrageous [IMPLY] fearless [PERIOD]
worried [AND] light [AND] amused [IMPLY] elegant [PERIOD]
lucky [AND] grumpy [IMPLY] outrageous [PERIOD]
witty [AND] outrageous [AND] loving [IMPLY] elegant [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   No rule concludes “comfortable.”
",0,1
"Facts:  Alice is intellectual [PERIOD]
Rules:
joyous [AND] friendly [AND] polite [IMPLY] thoughtless [PERIOD]
polite [AND] intellectual [IMPLY] thoughtless [PERIOD]
friendly [AND] joyous [IMPLY] intellectual [PERIOD]
polite [IMPLY] thoughtless [PERIOD]
polite [IMPLY] joyous [PERIOD]
polite [AND] thoughtless [IMPLY] intellectual [PERIOD]
intellectual [AND] thoughtless [AND] polite [IMPLY] joyous [PERIOD]
thoughtless [IMPLY] polite [PERIOD]
polite [AND] intellectual [AND] friendly [IMPLY] joyous [PERIOD]
intellectual [AND] thoughtless [AND] polite [IMPLY] friendly [PERIOD]
friendly [IMPLY] joyous [PERIOD]
joyous [AND] thoughtless [IMPLY] intellectual [PERIOD]
friendly [AND] polite [IMPLY] intellectual [PERIOD]
joyous [IMPLY] friendly [PERIOD]
intellectual [IMPLY] joyous [PERIOD]
friendly [AND] joyous [IMPLY] polite [PERIOD]
thoughtless [AND] polite [AND] joyous [IMPLY] friendly [PERIOD]
intellectual [IMPLY] friendly [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   intellectual ⇒ joyous
   intellectual ⇒ friendly
   intellectual ⇒ friendly
   intellectual ⇒ joyous
   friendly ∧ joyous ⇒ polite
   joyous ∧ friendly ∧ polite ⇒ thoughtless
",1,6
"Facts:  Alice is tidy [PERIOD] Alice is bossy [PERIOD] Alice is elegant [PERIOD]
Rules:
tidy [AND] frail [IMPLY] ugliest [PERIOD]
frail [IMPLY] elegant [PERIOD]
ugliest [AND] fancy [AND] bossy [IMPLY] tidy [PERIOD]
bossy [AND] fancy [AND] stubborn [IMPLY] tidy [PERIOD]
bossy [AND] worried [IMPLY] stubborn [PERIOD]
stubborn [AND] bossy [AND] frail [IMPLY] fancy [PERIOD]
frail [AND] tidy [AND] worried [IMPLY] fancy [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   Cannot apply rule “stubborn ∧ bossy ∧ frail ⇒ fancy” because missing: stubborn, frail.
   Cannot apply rule “frail ∧ tidy ∧ worried ⇒ fancy” because missing: frail, worried.
",0,2
"Facts:  Alice is spotless [PERIOD] Alice is messy [PERIOD]
Rules:
dishonest [AND] gifted [IMPLY] reserved [PERIOD]
gleaming [AND] difficult [IMPLY] messy [PERIOD]
difficult [IMPLY] hypocritical [PERIOD]
hypocritical [AND] vivacious [IMPLY] gifted [PERIOD]
dishonest [AND] spotless [AND] reserved [IMPLY] vivacious [PERIOD]
exuberant [AND] difficult [IMPLY] gleaming [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   No rule concludes “broad-minded.”
",0,1
"Facts:  Alice is mean [PERIOD] Alice is tired [PERIOD] Alice is difficult [PERIOD] Alice is jittery [PERIOD] Alice is modern [PERIOD]
Rules:
uptight [AND] nervous [AND] tame [IMPLY] hypocritical [PERIOD]
beautiful [IMPLY] mean [PERIOD]
jittery [IMPLY] foolish [PERIOD]
foolish [IMPLY] scared [PERIOD]
intellectual [IMPLY] good [PERIOD]
bright [IMPLY] easy [PERIOD]
crowded [AND] intellectual [IMPLY] jittery [PERIOD]
condemned [IMPLY] difficult [PERIOD]
foolish [IMPLY] popular [PERIOD]
mean [IMPLY] jittery [PERIOD]
tame [AND] good [AND] hypocritical [IMPLY] difficult [PERIOD]
mean [AND] good [AND] crowded [IMPLY] strange [PERIOD]
careless [AND] intellectual [IMPLY] good [PERIOD]
strange [AND] blushing [IMPLY] foolish [PERIOD]
crowded [IMPLY] naughty [PERIOD]
supportive [AND] careless [IMPLY] bright [PERIOD]
beautiful [AND] popular [AND] blushing [IMPLY] easy [PERIOD]
difficult [AND] beautiful [IMPLY] helpful [PERIOD]
blushing [AND] helpful [IMPLY] popular [PERIOD]
tame [AND] easy [IMPLY] crowded [PERIOD]
hypocritical [AND] beautiful [AND] nervous [IMPLY] difficult [PERIOD]
tame [AND] intellectual [IMPLY] condemned [PERIOD]
difficult [IMPLY] talented [PERIOD]
condemned [IMPLY] nervous [PERIOD]
blushing [AND] good [IMPLY] hypocritical [PERIOD]
condemned [AND] bright [IMPLY] foolish [PERIOD]
mean [AND] easy [AND] helpful [IMPLY] scared [PERIOD]
supportive [IMPLY] condemned [PERIOD]
tame [AND] crowded [IMPLY] foolish [PERIOD]
intellectual [AND] uptight [IMPLY] crowded [PERIOD]
tame [AND] modern [AND] tired [IMPLY] popular [PERIOD]
mean [AND] foolish [AND] tired [IMPLY] talented [PERIOD]
nervous [IMPLY] difficult [PERIOD]
naughty [AND] scared [AND] disgusted [IMPLY] talented [PERIOD]
uptight [AND] jittery [AND] blushing [IMPLY] supportive [PERIOD]
disgusted [IMPLY] uptight [PERIOD]
scared [AND] strange [IMPLY] uptight [PERIOD]
beautiful [AND] modern [AND] naughty [IMPLY] disgusted [PERIOD]
bright [AND] condemned [IMPLY] mean [PERIOD]
jittery [AND] supportive [IMPLY] difficult [PERIOD]
bright [AND] scared [AND] supportive [IMPLY] hypocritical [PERIOD]
nervous [AND] disgusted [AND] good [IMPLY] tame [PERIOD]
condemned [IMPLY] foolish [PERIOD]
difficult [AND] beautiful [AND] intellectual [IMPLY] mean [PERIOD]
talented [IMPLY] crowded [PERIOD]
hypocritical [AND] popular [AND] tame [IMPLY] naughty [PERIOD]
beautiful [AND] intellectual [IMPLY] crowded [PERIOD]
easy [AND] beautiful [AND] intellectual [IMPLY] difficult [PERIOD]
condemned [AND] supportive [AND] popular [IMPLY] beautiful [PERIOD]
naughty [AND] careless [AND] tired [IMPLY] nervous [PERIOD]
bright [IMPLY] intellectual [PERIOD]
easy [AND] naughty [IMPLY] helpful [PERIOD]
scared [AND] talented [AND] good [IMPLY] supportive [PERIOD]
good [IMPLY] jittery [PERIOD]
tame [IMPLY] nervous [PERIOD]
intellectual [AND] nervous [IMPLY] supportive [PERIOD]
popular [IMPLY] foolish [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   Cannot apply rule “nervous ∧ disgusted ∧ good ⇒ tame” because missing: nervous, disgusted, good.
",0,1
"Facts:  Alice is wrong [PERIOD]
Rules:
bad-tempered [IMPLY] fine [PERIOD]
gleaming [AND] bad-tempered [AND] wrong [IMPLY] frantic [PERIOD]
bad-tempered [AND] zealous [IMPLY] wrong [PERIOD]
fine [AND] frantic [IMPLY] average [PERIOD]
average [AND] wrong [IMPLY] zealous [PERIOD]
zealous [AND] bad-tempered [AND] fine [IMPLY] average [PERIOD]
wrong [AND] average [AND] bad-tempered [IMPLY] gleaming [PERIOD]
fine [AND] zealous [AND] gleaming [IMPLY] bad-tempered [PERIOD]
fine [IMPLY] wrong [PERIOD]
gleaming [AND] zealous [AND] average [IMPLY] fine [PERIOD]
fine [AND] gleaming [AND] bad-tempered [IMPLY] zealous [PERIOD]
frantic [IMPLY] zealous [PERIOD]
average [IMPLY] wrong [PERIOD]
frantic [AND] zealous [AND] gleaming [IMPLY] bad-tempered [PERIOD]
average [AND] bad-tempered [IMPLY] gleaming [PERIOD]
frantic [AND] bad-tempered [IMPLY] fine [PERIOD]
average [AND] gleaming [AND] frantic [IMPLY] wrong [PERIOD]
wrong [IMPLY] frantic [PERIOD]
zealous [AND] frantic [IMPLY] wrong [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   wrong ⇒ frantic
   frantic ⇒ zealous
   Cannot apply rule “fine ∧ zealous ∧ gleaming ⇒ bad-tempered” because missing: fine, gleaming.
   wrong ⇒ frantic
   wrong ⇒ frantic
   frantic ⇒ zealous
   Cannot apply rule “frantic ∧ zealous ∧ gleaming ⇒ bad-tempered” because missing: gleaming.
",0,7
"Facts:  Alice is clean [PERIOD] Alice is stubborn [PERIOD] Alice is alert [PERIOD] Alice is reserved [PERIOD] Alice is fine [PERIOD] Alice is friendly [PERIOD] Alice is confident [PERIOD] Alice is dull [PERIOD] Alice is bright [PERIOD] Alice is hurt [PERIOD] Alice is comfortable [PERIOD] Alice is quaint [PERIOD] Alice is muddy [PERIOD] Alice is smart [PERIOD] Alice is impartial [PERIOD] Alice is naughty [PERIOD] Alice is outrageous [PERIOD] Alice is charming [PERIOD] Alice is enchanting [PERIOD] Alice is inexpensive [PERIOD] Alice is attentive [PERIOD] Alice is jittery [PERIOD] Alice is stormy [PERIOD]
Rules:
smart [AND] enchanting [IMPLY] clean [PERIOD]
inquisitive [AND] confident [AND] naughty [IMPLY] reserved [PERIOD]
inquisitive [AND] bright [IMPLY] comfortable [PERIOD]
charming [IMPLY] naughty [PERIOD]
alert [IMPLY] inexpensive [PERIOD]
bright [AND] hurt [AND] stubborn [IMPLY] stormy [PERIOD]
stormy [AND] stubborn [AND] inexpensive [IMPLY] fine [PERIOD]
hurt [AND] reserved [IMPLY] naughty [PERIOD]
stormy [IMPLY] lonely [PERIOD]
dull [IMPLY] clean [PERIOD]
friendly [IMPLY] muddy [PERIOD]
comfortable [IMPLY] dull [PERIOD]
confident [AND] lonely [IMPLY] impartial [PERIOD]
enchanting [IMPLY] fine [PERIOD]
attentive [AND] jittery [AND] friendly [IMPLY] outrageous [PERIOD]
charming [AND] inexpensive [IMPLY] attentive [PERIOD]
Query: Alice is jittery [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is rude [PERIOD]
Rules:
inquisitive [AND] adorable [IMPLY] homely [PERIOD]
aggressive [IMPLY] perfect [PERIOD]
aggressive [AND] rational [IMPLY] adorable [PERIOD]
homely [AND] scared [AND] rational [IMPLY] agreeable [PERIOD]
rational [IMPLY] scared [PERIOD]
scared [AND] rude [AND] adorable [IMPLY] aggressive [PERIOD]
stupid [AND] rude [IMPLY] attentive [PERIOD]
rude [IMPLY] agreeable [PERIOD]
rational [AND] scared [IMPLY] rude [PERIOD]
homely [AND] inquisitive [IMPLY] rational [PERIOD]
vivacious [AND] exuberant [IMPLY] adorable [PERIOD]
aggressive [IMPLY] rude [PERIOD]
inquisitive [AND] stupid [IMPLY] exuberant [PERIOD]
aggressive [IMPLY] stupid [PERIOD]
rude [AND] vivacious [IMPLY] rational [PERIOD]
homely [AND] perfect [AND] inquisitive [IMPLY] rude [PERIOD]
vivacious [AND] scared [IMPLY] stupid [PERIOD]
inquisitive [AND] stupid [AND] adorable [IMPLY] aggressive [PERIOD]
average [IMPLY] rational [PERIOD]
homely [IMPLY] average [PERIOD]
vivacious [AND] stupid [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] exuberant [PERIOD]
exuberant [AND] vivacious [IMPLY] perfect [PERIOD]
homely [AND] agreeable [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] scared [PERIOD]
stupid [AND] aggressive [AND] exuberant [IMPLY] perfect [PERIOD]
perfect [AND] exuberant [IMPLY] inquisitive [PERIOD]
attentive [AND] rational [IMPLY] rude [PERIOD]
adorable [AND] inquisitive [AND] rational [IMPLY] rude [PERIOD]
rational [AND] stupid [AND] inquisitive [IMPLY] aggressive [PERIOD]
aggressive [AND] rational [IMPLY] exuberant [PERIOD]
vivacious [AND] rude [AND] agreeable [IMPLY] average [PERIOD]
perfect [AND] exuberant [IMPLY] vivacious [PERIOD]
inquisitive [AND] attentive [AND] homely [IMPLY] rational [PERIOD]
adorable [AND] vivacious [IMPLY] rational [PERIOD]
stupid [IMPLY] average [PERIOD]
aggressive [AND] agreeable [IMPLY] rational [PERIOD]
agreeable [AND] adorable [AND] scared [IMPLY] inquisitive [PERIOD]
scared [IMPLY] agreeable [PERIOD]
adorable [IMPLY] attentive [PERIOD]
inquisitive [AND] rude [IMPLY] adorable [PERIOD]
exuberant [AND] attentive [IMPLY] vivacious [PERIOD]
attentive [IMPLY] stupid [PERIOD]
perfect [IMPLY] rude [PERIOD]
homely [AND] rude [IMPLY] rational [PERIOD]
perfect [AND] adorable [AND] aggressive [IMPLY] agreeable [PERIOD]
scared [IMPLY] inquisitive [PERIOD]
rude [IMPLY] stupid [PERIOD]
agreeable [AND] attentive [AND] average [IMPLY] inquisitive [PERIOD]
exuberant [AND] aggressive [IMPLY] rude [PERIOD]
stupid [AND] rational [IMPLY] inquisitive [PERIOD]
adorable [AND] rational [AND] exuberant [IMPLY] scared [PERIOD]
scared [AND] perfect [IMPLY] stupid [PERIOD]
rational [IMPLY] exuberant [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
careless [AND] fancy [IMPLY] frantic [PERIOD]
foolish [AND] frantic [AND] fancy [IMPLY] pessimistic [PERIOD]
careless [AND] frantic [AND] pessimistic [IMPLY] fancy [PERIOD]
foolish [AND] fancy [IMPLY] careless [PERIOD]
pessimistic [AND] careless [IMPLY] frantic [PERIOD]
foolish [IMPLY] pessimistic [PERIOD]
foolish [AND] pessimistic [AND] fancy [IMPLY] frantic [PERIOD]
fancy [IMPLY] careless [PERIOD]
foolish [AND] pessimistic [AND] frantic [IMPLY] careless [PERIOD]
careless [AND] foolish [AND] fancy [IMPLY] frantic [PERIOD]
foolish [IMPLY] fancy [PERIOD]
frantic [AND] careless [AND] foolish [IMPLY] fancy [PERIOD]
pessimistic [AND] frantic [IMPLY] careless [PERIOD]
pessimistic [AND] careless [AND] foolish [IMPLY] fancy [PERIOD]
frantic [AND] fancy [AND] foolish [IMPLY] careless [PERIOD]
foolish [AND] frantic [IMPLY] pessimistic [PERIOD]
careless [AND] fancy [AND] pessimistic [IMPLY] foolish [PERIOD]
pessimistic [AND] careless [AND] fancy [IMPLY] frantic [PERIOD]
frantic [AND] pessimistic [AND] careless [IMPLY] foolish [PERIOD]
frantic [AND] fancy [IMPLY] pessimistic [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   Cannot apply rule “foolish ∧ fancy ⇒ careless” because missing: foolish, fancy.
   Cannot apply rule “fancy ⇒ careless” because missing: fancy.
   Cannot apply rule “foolish ∧ pessimistic ∧ frantic ⇒ careless” because missing: foolish, pessimistic, frantic.
   Cannot apply rule “pessimistic ∧ frantic ⇒ careless” because missing: pessimistic, frantic.
   Cannot apply rule “frantic ∧ fancy ∧ foolish ⇒ careless” because missing: frantic, fancy, foolish.
",0,5
"Facts: 
Rules:
embarrassed [AND] helpless [AND] curious [IMPLY] proud [PERIOD]
blushing [IMPLY] clean [PERIOD]
helpless [AND] wide-eyed [IMPLY] blushing [PERIOD]
helpless [IMPLY] curious [PERIOD]
clean [AND] wide-eyed [AND] lucky [IMPLY] sleepy [PERIOD]
tired [IMPLY] clean [PERIOD]
proud [IMPLY] clean [PERIOD]
tense [AND] tidy [AND] curious [IMPLY] lucky [PERIOD]
gleaming [AND] embarrassed [AND] helpless [IMPLY] proud [PERIOD]
tense [AND] blushing [AND] gleaming [IMPLY] wide-eyed [PERIOD]
helpless [AND] lucky [IMPLY] proud [PERIOD]
embarrassed [IMPLY] blushing [PERIOD]
lucky [IMPLY] helpless [PERIOD]
clean [IMPLY] curious [PERIOD]
embarrassed [AND] sleepy [AND] helpless [IMPLY] gleaming [PERIOD]
wide-eyed [IMPLY] tense [PERIOD]
lucky [AND] curious [AND] embarrassed [IMPLY] wide-eyed [PERIOD]
lucky [AND] weary [IMPLY] tense [PERIOD]
clean [IMPLY] blushing [PERIOD]
clean [AND] blushing [AND] gleaming [IMPLY] embarrassed [PERIOD]
tense [IMPLY] tidy [PERIOD]
weary [IMPLY] gleaming [PERIOD]
tidy [AND] helpless [AND] proud [IMPLY] wide-eyed [PERIOD]
weary [IMPLY] sleepy [PERIOD]
clean [AND] wide-eyed [IMPLY] lucky [PERIOD]
proud [AND] tense [IMPLY] weary [PERIOD]
lucky [AND] gleaming [IMPLY] blushing [PERIOD]
proud [IMPLY] lucky [PERIOD]
tense [AND] curious [AND] tired [IMPLY] tidy [PERIOD]
sleepy [IMPLY] proud [PERIOD]
clean [IMPLY] lucky [PERIOD]
embarrassed [AND] tidy [IMPLY] curious [PERIOD]
helpless [AND] tired [IMPLY] blushing [PERIOD]
blushing [IMPLY] sleepy [PERIOD]
blushing [AND] proud [AND] gleaming [IMPLY] tidy [PERIOD]
blushing [IMPLY] helpless [PERIOD]
clean [IMPLY] sleepy [PERIOD]
gleaming [IMPLY] weary [PERIOD]
tense [AND] blushing [IMPLY] lucky [PERIOD]
tense [AND] clean [IMPLY] weary [PERIOD]
curious [IMPLY] tense [PERIOD]
helpless [AND] clean [IMPLY] tense [PERIOD]
wide-eyed [IMPLY] tired [PERIOD]
proud [AND] helpless [AND] blushing [IMPLY] tired [PERIOD]
tidy [AND] tense [IMPLY] curious [PERIOD]
weary [IMPLY] tired [PERIOD]
wide-eyed [AND] proud [AND] tired [IMPLY] clean [PERIOD]
lucky [AND] wide-eyed [AND] tense [IMPLY] clean [PERIOD]
sleepy [AND] blushing [IMPLY] wide-eyed [PERIOD]
sleepy [AND] helpless [IMPLY] tired [PERIOD]
proud [AND] tense [IMPLY] curious [PERIOD]
tense [AND] sleepy [IMPLY] wide-eyed [PERIOD]
curious [AND] wide-eyed [AND] embarrassed [IMPLY] sleepy [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   Cannot apply rule “wide-eyed ⇒ tense” because missing: wide-eyed.
   Cannot apply rule “lucky ∧ weary ⇒ tense” because missing: lucky, weary.
   Cannot apply rule “curious ⇒ tense” because missing: curious.
   Cannot apply rule “helpless ∧ clean ⇒ tense” because missing: helpless, clean.
",0,4
"Facts:  Alice is shiny [PERIOD] Alice is scared [PERIOD] Alice is unpleasant [PERIOD] Alice is cruel [PERIOD] Alice is lonely [PERIOD]
Rules:
scared [AND] strange [IMPLY] wide-eyed [PERIOD]
amused [AND] wide-eyed [IMPLY] scared [PERIOD]
amused [AND] aggressive [IMPLY] scared [PERIOD]
unpleasant [AND] exuberant [AND] cruel [IMPLY] precious [PERIOD]
perfect [AND] unpleasant [IMPLY] strange [PERIOD]
wide-eyed [AND] cruel [AND] scared [IMPLY] amused [PERIOD]
exuberant [IMPLY] precious [PERIOD]
troubled [AND] lonely [IMPLY] shiny [PERIOD]
perfect [AND] shiny [AND] scared [IMPLY] cruel [PERIOD]
strange [AND] cruel [IMPLY] scared [PERIOD]
troubled [AND] amused [IMPLY] fearless [PERIOD]
lonely [IMPLY] amused [PERIOD]
lonely [AND] wide-eyed [IMPLY] exuberant [PERIOD]
strange [IMPLY] aggressive [PERIOD]
perfect [AND] exuberant [IMPLY] unpleasant [PERIOD]
precious [AND] aggressive [IMPLY] cruel [PERIOD]
exuberant [AND] strange [AND] wide-eyed [IMPLY] fearless [PERIOD]
unpleasant [AND] strange [AND] amused [IMPLY] scared [PERIOD]
aggressive [AND] unpleasant [AND] perfect [IMPLY] shiny [PERIOD]
fearless [IMPLY] strange [PERIOD]
exuberant [IMPLY] shiny [PERIOD]
strange [IMPLY] amused [PERIOD]
strange [AND] wide-eyed [IMPLY] fearless [PERIOD]
unpleasant [AND] troubled [AND] wide-eyed [IMPLY] amused [PERIOD]
amused [AND] shiny [IMPLY] troubled [PERIOD]
wide-eyed [AND] unpleasant [AND] scared [IMPLY] precious [PERIOD]
cruel [AND] lonely [AND] shiny [IMPLY] exuberant [PERIOD]
shiny [AND] exuberant [AND] troubled [IMPLY] perfect [PERIOD]
wide-eyed [AND] aggressive [IMPLY] scared [PERIOD]
perfect [IMPLY] unpleasant [PERIOD]
perfect [AND] cruel [IMPLY] lonely [PERIOD]
cruel [AND] shiny [IMPLY] exuberant [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   lonely ⇒ amused
   amused ∧ shiny ⇒ troubled
   lonely ⇒ amused
   troubled ∧ amused ⇒ fearless
   fearless ⇒ strange
",1,5
"Facts:  Alice is witty [PERIOD] Alice is hurt [PERIOD] Alice is wide-eyed [PERIOD] Alice is calm [PERIOD]
Rules:
fragile [AND] hurt [IMPLY] calm [PERIOD]
hurt [IMPLY] fragile [PERIOD]
hurt [AND] average [AND] witty [IMPLY] wide-eyed [PERIOD]
fragile [AND] calm [IMPLY] average [PERIOD]
calm [AND] fragile [IMPLY] attentive [PERIOD]
hurt [IMPLY] average [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   hurt ⇒ fragile
   calm ∧ fragile ⇒ attentive
",1,2
"Facts:  Alice is troubled [PERIOD]
Rules:
charming [AND] wide-eyed [AND] zealous [IMPLY] troubled [PERIOD]
troubled [AND] curious [AND] tidy [IMPLY] ugliest [PERIOD]
tidy [IMPLY] helpless [PERIOD]
ugliest [AND] curious [AND] wide-eyed [IMPLY] gifted [PERIOD]
curious [IMPLY] wide-eyed [PERIOD]
zealous [AND] troubled [IMPLY] tidy [PERIOD]
gifted [AND] attentive [AND] ugliest [IMPLY] hilarious [PERIOD]
curious [AND] helpless [IMPLY] wide-eyed [PERIOD]
gifted [AND] wide-eyed [IMPLY] ugliest [PERIOD]
attentive [AND] hilarious [IMPLY] ugliest [PERIOD]
attentive [AND] tense [AND] tidy [IMPLY] zealous [PERIOD]
modern [AND] zealous [IMPLY] hilarious [PERIOD]
zealous [AND] helpless [AND] charming [IMPLY] tidy [PERIOD]
hilarious [IMPLY] curious [PERIOD]
tense [AND] gifted [AND] wide-eyed [IMPLY] attentive [PERIOD]
helpless [AND] hilarious [AND] troubled [IMPLY] tidy [PERIOD]
tense [IMPLY] curious [PERIOD]
wide-eyed [AND] helpless [AND] charming [IMPLY] hilarious [PERIOD]
gifted [AND] charming [IMPLY] ugliest [PERIOD]
attentive [AND] hilarious [IMPLY] troubled [PERIOD]
wide-eyed [AND] tidy [IMPLY] gifted [PERIOD]
modern [IMPLY] charming [PERIOD]
charming [IMPLY] ugliest [PERIOD]
ugliest [AND] gifted [IMPLY] wide-eyed [PERIOD]
gifted [AND] curious [AND] zealous [IMPLY] ugliest [PERIOD]
gifted [AND] attentive [IMPLY] zealous [PERIOD]
charming [AND] troubled [IMPLY] wide-eyed [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
   Cannot apply rule “troubled ∧ curious ∧ tidy ⇒ ugliest” because missing: curious, tidy.
   Cannot apply rule “gifted ∧ wide-eyed ⇒ ugliest” because missing: gifted, wide-eyed.
   Cannot apply rule “attentive ∧ hilarious ⇒ ugliest” because missing: attentive, hilarious.
   Cannot apply rule “gifted ∧ charming ⇒ ugliest” because missing: gifted, charming.
   Cannot apply rule “charming ⇒ ugliest” because missing: charming.
   Cannot apply rule “gifted ∧ curious ∧ zealous ⇒ ugliest” because missing: gifted, curious, zealous.
",0,6
"Facts:  Alice is condemned [PERIOD] Alice is beautiful [PERIOD] Alice is rude [PERIOD] Alice is confused [PERIOD] Alice is gifted [PERIOD] Alice is easy [PERIOD] Alice is bad-tempered [PERIOD] Alice is helpless [PERIOD] Alice is joyous [PERIOD]
Rules:
joyous [AND] easy [AND] helpless [IMPLY] diplomatic [PERIOD]
easy [AND] ugly [AND] beautiful [IMPLY] vivacious [PERIOD]
anxious [AND] condemned [IMPLY] bad-tempered [PERIOD]
outstanding [IMPLY] gifted [PERIOD]
anxious [IMPLY] beautiful [PERIOD]
gifted [AND] reserved [AND] busy [IMPLY] confused [PERIOD]
vivacious [AND] easy [IMPLY] modern [PERIOD]
confused [IMPLY] bad-tempered [PERIOD]
modern [IMPLY] condemned [PERIOD]
busy [AND] gifted [IMPLY] ugly [PERIOD]
beautiful [AND] gifted [AND] confused [IMPLY] condemned [PERIOD]
rude [AND] outstanding [AND] condemned [IMPLY] anxious [PERIOD]
confused [IMPLY] fancy [PERIOD]
helpless [AND] rude [AND] joyous [IMPLY] reserved [PERIOD]
fancy [AND] beautiful [IMPLY] bad-tempered [PERIOD]
joyous [AND] modern [AND] fancy [IMPLY] beautiful [PERIOD]
confused [AND] anxious [AND] diplomatic [IMPLY] helpless [PERIOD]
fancy [AND] helpless [AND] gifted [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] ugly [AND] gifted [IMPLY] helpless [PERIOD]
vivacious [AND] reserved [AND] outstanding [IMPLY] scared [PERIOD]
diplomatic [IMPLY] helpless [PERIOD]
diplomatic [AND] anxious [AND] condemned [IMPLY] ugly [PERIOD]
condemned [AND] busy [IMPLY] confused [PERIOD]
ugly [AND] diplomatic [IMPLY] fancy [PERIOD]
vivacious [AND] confused [AND] bad-tempered [IMPLY] gifted [PERIOD]
anxious [IMPLY] gifted [PERIOD]
joyous [IMPLY] vivacious [PERIOD]
condemned [AND] ugly [IMPLY] modern [PERIOD]
anxious [AND] outstanding [AND] busy [IMPLY] reserved [PERIOD]
joyous [AND] busy [IMPLY] ugly [PERIOD]
helpless [AND] anxious [AND] diplomatic [IMPLY] bad-tempered [PERIOD]
reserved [IMPLY] vivacious [PERIOD]
scared [AND] bad-tempered [AND] vivacious [IMPLY] modern [PERIOD]
busy [AND] condemned [AND] reserved [IMPLY] vivacious [PERIOD]
helpless [AND] joyous [AND] diplomatic [IMPLY] scared [PERIOD]
anxious [AND] busy [AND] diplomatic [IMPLY] easy [PERIOD]
ugly [AND] bad-tempered [IMPLY] condemned [PERIOD]
reserved [AND] outstanding [AND] busy [IMPLY] vivacious [PERIOD]
outstanding [AND] easy [AND] confused [IMPLY] bad-tempered [PERIOD]
condemned [IMPLY] easy [PERIOD]
beautiful [AND] easy [IMPLY] modern [PERIOD]
bad-tempered [AND] diplomatic [AND] helpless [IMPLY] confused [PERIOD]
bad-tempered [IMPLY] rude [PERIOD]
condemned [AND] reserved [AND] vivacious [IMPLY] helpless [PERIOD]
easy [IMPLY] modern [PERIOD]
condemned [AND] joyous [IMPLY] busy [PERIOD]
rude [AND] ugly [AND] reserved [IMPLY] bad-tempered [PERIOD]
modern [AND] gifted [IMPLY] diplomatic [PERIOD]
anxious [AND] modern [AND] scared [IMPLY] rude [PERIOD]
scared [AND] rude [AND] beautiful [IMPLY] modern [PERIOD]
diplomatic [AND] condemned [IMPLY] scared [PERIOD]
fancy [AND] busy [IMPLY] modern [PERIOD]
beautiful [AND] modern [AND] easy [IMPLY] helpless [PERIOD]
anxious [AND] helpless [AND] gifted [IMPLY] easy [PERIOD]
helpless [IMPLY] diplomatic [PERIOD]
anxious [AND] joyous [AND] vivacious [IMPLY] condemned [PERIOD]
modern [AND] diplomatic [AND] scared [IMPLY] bad-tempered [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   condemned ∧ joyous ⇒ busy
   busy ∧ gifted ⇒ ugly
",1,2
"Facts:  Alice is diplomatic [PERIOD]
Rules:
joyous [AND] courageous [AND] sleepy [IMPLY] supportive [PERIOD]
helpful [AND] plain [IMPLY] diplomatic [PERIOD]
friendly [IMPLY] cute [PERIOD]
joyous [AND] worrisome [IMPLY] diplomatic [PERIOD]
unpleasant [AND] rude [AND] friendly [IMPLY] clean [PERIOD]
elegant [IMPLY] friendly [PERIOD]
sleepy [AND] worrisome [IMPLY] friendly [PERIOD]
rude [IMPLY] elegant [PERIOD]
unpleasant [IMPLY] plain [PERIOD]
worrisome [AND] different [AND] elegant [IMPLY] joyous [PERIOD]
courageous [IMPLY] friendly [PERIOD]
clean [AND] pleasant [AND] cute [IMPLY] supportive [PERIOD]
helpful [IMPLY] different [PERIOD]
wandering [AND] different [IMPLY] courageous [PERIOD]
diplomatic [IMPLY] gleaming [PERIOD]
elegant [IMPLY] hypocritical [PERIOD]
worrisome [AND] pleasant [IMPLY] diplomatic [PERIOD]
helpful [AND] gleaming [AND] rude [IMPLY] unpleasant [PERIOD]
gleaming [AND] hypocritical [AND] cute [IMPLY] clean [PERIOD]
rude [IMPLY] cute [PERIOD]
elegant [AND] joyous [AND] pleasant [IMPLY] different [PERIOD]
pleasant [IMPLY] supportive [PERIOD]
unpleasant [AND] elegant [AND] different [IMPLY] sleepy [PERIOD]
clean [IMPLY] pleasant [PERIOD]
sleepy [AND] rude [AND] helpful [IMPLY] wandering [PERIOD]
courageous [AND] wandering [AND] diplomatic [IMPLY] plain [PERIOD]
friendly [AND] unpleasant [AND] diplomatic [IMPLY] cute [PERIOD]
helpful [AND] elegant [IMPLY] friendly [PERIOD]
different [AND] plain [IMPLY] supportive [PERIOD]
diplomatic [AND] clean [AND] rude [IMPLY] unpleasant [PERIOD]
sleepy [AND] different [AND] joyous [IMPLY] gleaming [PERIOD]
helpful [AND] rude [IMPLY] gleaming [PERIOD]
wandering [AND] rude [IMPLY] sleepy [PERIOD]
friendly [AND] joyous [IMPLY] supportive [PERIOD]
pleasant [AND] different [AND] elegant [IMPLY] helpful [PERIOD]
worrisome [IMPLY] courageous [PERIOD]
worrisome [AND] pleasant [IMPLY] joyous [PERIOD]
wandering [IMPLY] plain [PERIOD]
different [AND] diplomatic [AND] clean [IMPLY] joyous [PERIOD]
supportive [AND] clean [IMPLY] different [PERIOD]
unpleasant [IMPLY] worrisome [PERIOD]
hypocritical [IMPLY] helpful [PERIOD]
pleasant [AND] gleaming [AND] cute [IMPLY] friendly [PERIOD]
courageous [AND] elegant [AND] rude [IMPLY] unpleasant [PERIOD]
sleepy [AND] plain [AND] hypocritical [IMPLY] diplomatic [PERIOD]
friendly [AND] cute [AND] worrisome [IMPLY] elegant [PERIOD]
elegant [AND] cute [AND] rude [IMPLY] diplomatic [PERIOD]
courageous [IMPLY] unpleasant [PERIOD]
gleaming [AND] worrisome [AND] courageous [IMPLY] helpful [PERIOD]
plain [IMPLY] different [PERIOD]
courageous [AND] cute [AND] joyous [IMPLY] pleasant [PERIOD]
unpleasant [AND] diplomatic [AND] rude [IMPLY] supportive [PERIOD]
rude [AND] hypocritical [AND] sleepy [IMPLY] unpleasant [PERIOD]
clean [AND] sleepy [IMPLY] elegant [PERIOD]
sleepy [AND] supportive [IMPLY] unpleasant [PERIOD]
rude [IMPLY] different [PERIOD]
cute [AND] wandering [IMPLY] worrisome [PERIOD]
sleepy [IMPLY] clean [PERIOD]
worrisome [AND] helpful [IMPLY] wandering [PERIOD]
cute [AND] unpleasant [AND] supportive [IMPLY] hypocritical [PERIOD]
helpful [IMPLY] wandering [PERIOD]
cute [AND] plain [AND] helpful [IMPLY] elegant [PERIOD]
gleaming [IMPLY] joyous [PERIOD]
different [AND] diplomatic [AND] clean [IMPLY] elegant [PERIOD]
plain [AND] diplomatic [AND] friendly [IMPLY] different [PERIOD]
unpleasant [AND] friendly [IMPLY] joyous [PERIOD]
gleaming [AND] cute [AND] different [IMPLY] helpful [PERIOD]
joyous [AND] plain [IMPLY] gleaming [PERIOD]
supportive [AND] hypocritical [AND] unpleasant [IMPLY] wandering [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   Cannot apply rule “rude ⇒ elegant” because missing: rude.
   Cannot apply rule “friendly ∧ cute ∧ worrisome ⇒ elegant” because missing: friendly, cute, worrisome.
   Cannot apply rule “clean ∧ sleepy ⇒ elegant” because missing: clean, sleepy.
   Cannot apply rule “cute ∧ plain ∧ helpful ⇒ elegant” because missing: cute, plain, helpful.
   Cannot apply rule “different ∧ diplomatic ∧ clean ⇒ elegant” because missing: different, clean.
",0,5
"Facts:  Alice is hypocritical [PERIOD] Alice is lucky [PERIOD]
Rules:
old-fashioned [IMPLY] famous [PERIOD]
fancy [AND] quaint [IMPLY] tense [PERIOD]
wandering [AND] old-fashioned [IMPLY] fine [PERIOD]
fine [AND] busy [IMPLY] fancy [PERIOD]
impartial [AND] fancy [AND] fragile [IMPLY] helpful [PERIOD]
messy [AND] famous [IMPLY] innocent [PERIOD]
helpful [IMPLY] tense [PERIOD]
fancy [AND] innocent [AND] famous [IMPLY] ugliest [PERIOD]
impartial [AND] lucky [AND] tense [IMPLY] fancy [PERIOD]
innocent [AND] ugliest [IMPLY] fancy [PERIOD]
messy [AND] dishonest [AND] helpful [IMPLY] quaint [PERIOD]
wandering [IMPLY] messy [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   Cannot apply rule “fine ∧ busy ⇒ fancy” because missing: fine, busy.
   Cannot apply rule “impartial ∧ lucky ∧ tense ⇒ fancy” because missing: impartial, tense.
   Cannot apply rule “innocent ∧ ugliest ⇒ fancy” because missing: innocent, ugliest.
",0,3
"Facts: 
Rules:
tense [AND] naughty [IMPLY] easy [PERIOD]
stormy [AND] calm [IMPLY] crowded [PERIOD]
dull [AND] crowded [IMPLY] silly [PERIOD]
famous [AND] outstanding [IMPLY] popular [PERIOD]
stupid [IMPLY] straightforward [PERIOD]
famous [IMPLY] nervous [PERIOD]
outstanding [AND] bright [IMPLY] ugly [PERIOD]
muddy [AND] silly [IMPLY] bright [PERIOD]
silly [AND] calm [AND] crowded [IMPLY] serious [PERIOD]
stormy [AND] famous [AND] easy [IMPLY] muddy [PERIOD]
muddy [AND] crowded [AND] sensible [IMPLY] nervous [PERIOD]
bright [AND] tense [IMPLY] crowded [PERIOD]
straightforward [IMPLY] muddy [PERIOD]
fancy [AND] outstanding [AND] attentive [IMPLY] bright [PERIOD]
excited [IMPLY] intellectual [PERIOD]
broad-minded [AND] silly [AND] muddy [IMPLY] cute [PERIOD]
ugly [AND] stupid [IMPLY] excited [PERIOD]
tense [IMPLY] fine [PERIOD]
stupid [AND] fine [AND] famous [IMPLY] intellectual [PERIOD]
straightforward [AND] ugly [AND] stupid [IMPLY] serious [PERIOD]
calm [IMPLY] broad-minded [PERIOD]
outstanding [AND] stupid [IMPLY] straightforward [PERIOD]
excited [AND] popular [IMPLY] stupid [PERIOD]
crowded [AND] stupid [IMPLY] straightforward [PERIOD]
excited [AND] attentive [IMPLY] bright [PERIOD]
bright [AND] crowded [IMPLY] nervous [PERIOD]
easy [AND] straightforward [AND] crowded [IMPLY] famous [PERIOD]
crowded [AND] outstanding [IMPLY] silly [PERIOD]
straightforward [IMPLY] fancy [PERIOD]
fine [AND] silly [AND] nervous [IMPLY] popular [PERIOD]
fancy [IMPLY] tense [PERIOD]
dull [IMPLY] stormy [PERIOD]
stormy [AND] attentive [AND] famous [IMPLY] crowded [PERIOD]
serious [AND] nervous [AND] attentive [IMPLY] silly [PERIOD]
excited [AND] attentive [AND] crowded [IMPLY] ugly [PERIOD]
stupid [IMPLY] fancy [PERIOD]
broad-minded [AND] nervous [AND] intellectual [IMPLY] sensible [PERIOD]
fine [IMPLY] popular [PERIOD]
bright [IMPLY] famous [PERIOD]
easy [AND] crowded [IMPLY] outstanding [PERIOD]
silly [IMPLY] excited [PERIOD]
stormy [AND] dull [AND] fancy [IMPLY] broad-minded [PERIOD]
fine [AND] easy [AND] stupid [IMPLY] muddy [PERIOD]
easy [AND] excited [AND] serious [IMPLY] attentive [PERIOD]
broad-minded [AND] muddy [AND] straightforward [IMPLY] stormy [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   Cannot apply rule “dull ⇒ stormy” because missing: dull.
   Cannot apply rule “broad-minded ∧ muddy ∧ straightforward ⇒ stormy” because missing: broad-minded, muddy, straightforward.
",0,2
"Facts:  Alice is nervous [PERIOD] Alice is difficult [PERIOD]
Rules:
jittery [IMPLY] proud [PERIOD]
long [AND] troubled [IMPLY] nervous [PERIOD]
nervous [AND] long [IMPLY] troubled [PERIOD]
proud [IMPLY] long [PERIOD]
long [AND] difficult [IMPLY] troubled [PERIOD]
troubled [AND] proud [IMPLY] ugliest [PERIOD]
proud [AND] difficult [AND] long [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] jittery [PERIOD]
long [AND] proud [AND] jittery [IMPLY] troubled [PERIOD]
long [AND] proud [AND] troubled [IMPLY] ugliest [PERIOD]
troubled [IMPLY] proud [PERIOD]
troubled [AND] difficult [AND] proud [IMPLY] ugliest [PERIOD]
proud [AND] nervous [AND] troubled [IMPLY] jittery [PERIOD]
long [IMPLY] proud [PERIOD]
troubled [AND] difficult [IMPLY] nervous [PERIOD]
ugliest [IMPLY] long [PERIOD]
nervous [AND] difficult [AND] proud [IMPLY] long [PERIOD]
troubled [AND] difficult [AND] long [IMPLY] nervous [PERIOD]
troubled [IMPLY] long [PERIOD]
ugliest [IMPLY] troubled [PERIOD]
long [IMPLY] ugliest [PERIOD]
proud [IMPLY] difficult [PERIOD]
difficult [IMPLY] jittery [PERIOD]
jittery [AND] difficult [AND] troubled [IMPLY] proud [PERIOD]
ugliest [AND] nervous [IMPLY] proud [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
   difficult ⇒ jittery
   jittery ⇒ proud
   difficult ⇒ jittery
   jittery ⇒ proud
   proud ⇒ long
   proud ∧ difficult ∧ long ⇒ ugliest
",1,6
"Facts:  Alice is ugliest [PERIOD] Alice is alert [PERIOD] Alice is nervous [PERIOD] Alice is good [PERIOD] Alice is precious [PERIOD] Alice is elated [PERIOD] Alice is lonely [PERIOD] Alice is outrageous [PERIOD] Alice is fragile [PERIOD] Alice is difficult [PERIOD] Alice is plain [PERIOD] Alice is vivacious [PERIOD] Alice is talented [PERIOD] Alice is tense [PERIOD] Alice is aggressive [PERIOD] Alice is straightforward [PERIOD]
Rules:
broad-minded [IMPLY] gifted [PERIOD]
selfish [IMPLY] difficult [PERIOD]
lonely [AND] sensible [AND] bright [IMPLY] fragile [PERIOD]
straightforward [IMPLY] witty [PERIOD]
outrageous [AND] precious [AND] plain [IMPLY] talented [PERIOD]
elated [AND] precious [AND] horrible [IMPLY] fine [PERIOD]
selfish [AND] horrible [AND] lonely [IMPLY] ugly [PERIOD]
elated [AND] bright [IMPLY] aggressive [PERIOD]
ugly [AND] gifted [AND] plain [IMPLY] fragile [PERIOD]
precious [IMPLY] nervous [PERIOD]
difficult [AND] mysterious [AND] fragile [IMPLY] straightforward [PERIOD]
mysterious [AND] sensible [AND] plain [IMPLY] witty [PERIOD]
lonely [AND] broad-minded [AND] ugliest [IMPLY] uptight [PERIOD]
aggressive [AND] elated [IMPLY] sensible [PERIOD]
outrageous [AND] horrible [AND] talented [IMPLY] vivacious [PERIOD]
nervous [AND] difficult [AND] talented [IMPLY] elated [PERIOD]
selfish [AND] tense [IMPLY] ugliest [PERIOD]
mysterious [AND] alert [IMPLY] sensible [PERIOD]
aggressive [AND] ugliest [AND] sensible [IMPLY] plain [PERIOD]
gifted [AND] sensible [AND] uptight [IMPLY] straightforward [PERIOD]
condemned [AND] bad-tempered [AND] gifted [IMPLY] mysterious [PERIOD]
gifted [IMPLY] condemned [PERIOD]
horrible [IMPLY] good [PERIOD]
fragile [IMPLY] elated [PERIOD]
nervous [AND] uptight [AND] mysterious [IMPLY] selfish [PERIOD]
sensible [IMPLY] alert [PERIOD]
vivacious [AND] fragile [AND] elated [IMPLY] plain [PERIOD]
broad-minded [AND] alert [AND] horrible [IMPLY] outrageous [PERIOD]
horrible [AND] tense [IMPLY] ugly [PERIOD]
ugliest [AND] aggressive [AND] condemned [IMPLY] vivacious [PERIOD]
elated [AND] outrageous [IMPLY] difficult [PERIOD]
broad-minded [IMPLY] condemned [PERIOD]
broad-minded [IMPLY] ugly [PERIOD]
talented [AND] aggressive [AND] difficult [IMPLY] precious [PERIOD]
selfish [IMPLY] ugliest [PERIOD]
vivacious [AND] ugliest [IMPLY] horrible [PERIOD]
outrageous [AND] witty [IMPLY] lonely [PERIOD]
gifted [AND] ugly [IMPLY] selfish [PERIOD]
plain [IMPLY] tense [PERIOD]
bad-tempered [AND] alert [AND] nervous [IMPLY] selfish [PERIOD]
straightforward [IMPLY] fine [PERIOD]
fragile [AND] uptight [IMPLY] horrible [PERIOD]
fragile [AND] fine [IMPLY] straightforward [PERIOD]
fragile [AND] witty [AND] straightforward [IMPLY] lonely [PERIOD]
bad-tempered [AND] bright [IMPLY] plain [PERIOD]
precious [AND] sensible [IMPLY] mysterious [PERIOD]
broad-minded [IMPLY] horrible [PERIOD]
outrageous [AND] horrible [AND] gifted [IMPLY] selfish [PERIOD]
fine [IMPLY] bright [PERIOD]
nervous [AND] ugly [IMPLY] tense [PERIOD]
straightforward [AND] fine [AND] sensible [IMPLY] mysterious [PERIOD]
condemned [AND] ugliest [AND] ugly [IMPLY] selfish [PERIOD]
witty [AND] good [IMPLY] ugliest [PERIOD]
fragile [AND] gifted [IMPLY] bright [PERIOD]
fragile [AND] vivacious [AND] alert [IMPLY] ugliest [PERIOD]
alert [AND] nervous [IMPLY] gifted [PERIOD]
tense [AND] straightforward [IMPLY] elated [PERIOD]
bright [IMPLY] tense [PERIOD]
straightforward [AND] broad-minded [IMPLY] bright [PERIOD]
aggressive [IMPLY] vivacious [PERIOD]
mysterious [IMPLY] fragile [PERIOD]
ugly [AND] mysterious [AND] nervous [IMPLY] sensible [PERIOD]
nervous [AND] elated [IMPLY] precious [PERIOD]
reserved [IMPLY] difficult [PERIOD]
fragile [IMPLY] alert [PERIOD]
fine [AND] witty [IMPLY] good [PERIOD]
bad-tempered [AND] good [AND] lonely [IMPLY] gifted [PERIOD]
reserved [IMPLY] ugly [PERIOD]
fine [IMPLY] ugliest [PERIOD]
gifted [AND] lonely [IMPLY] broad-minded [PERIOD]
outrageous [AND] tense [IMPLY] alert [PERIOD]
mysterious [AND] fine [IMPLY] sensible [PERIOD]
bright [AND] tense [IMPLY] nervous [PERIOD]
talented [IMPLY] condemned [PERIOD]
tense [IMPLY] elated [PERIOD]
elated [AND] difficult [IMPLY] plain [PERIOD]
horrible [IMPLY] condemned [PERIOD]
aggressive [AND] selfish [AND] bad-tempered [IMPLY] precious [PERIOD]
bad-tempered [AND] tense [AND] elated [IMPLY] fragile [PERIOD]
talented [AND] reserved [IMPLY] aggressive [PERIOD]
witty [AND] reserved [AND] uptight [IMPLY] fine [PERIOD]
bright [AND] bad-tempered [AND] broad-minded [IMPLY] outrageous [PERIOD]
uptight [IMPLY] plain [PERIOD]
mysterious [AND] nervous [IMPLY] selfish [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   aggressive ∧ elated ⇒ sensible
   precious ∧ sensible ⇒ mysterious
",1,2
"Facts:  Alice is horrible [PERIOD] Alice is plain [PERIOD] Alice is straightforward [PERIOD] Alice is talented [PERIOD]
Rules:
jittery [IMPLY] frightened [PERIOD]
attentive [AND] precious [IMPLY] joyous [PERIOD]
attentive [IMPLY] joyous [PERIOD]
frail [AND] joyous [IMPLY] worried [PERIOD]
outstanding [IMPLY] worried [PERIOD]
plain [AND] amused [IMPLY] horrible [PERIOD]
helpless [IMPLY] clumsy [PERIOD]
clumsy [AND] helpless [AND] attentive [IMPLY] worried [PERIOD]
horrible [IMPLY] helpless [PERIOD]
straightforward [IMPLY] courageous [PERIOD]
frightened [AND] helpless [IMPLY] worried [PERIOD]
talented [AND] gorgeous [AND] embarrassed [IMPLY] attentive [PERIOD]
jittery [AND] outstanding [IMPLY] frightened [PERIOD]
horrible [AND] jittery [AND] precious [IMPLY] comfortable [PERIOD]
talented [AND] frail [IMPLY] outstanding [PERIOD]
clumsy [AND] bored [AND] attentive [IMPLY] frail [PERIOD]
precious [AND] frail [AND] clumsy [IMPLY] horrible [PERIOD]
comfortable [IMPLY] worried [PERIOD]
jittery [AND] horrible [IMPLY] frightened [PERIOD]
attentive [IMPLY] precious [PERIOD]
gorgeous [IMPLY] horrible [PERIOD]
precious [IMPLY] horrible [PERIOD]
clumsy [IMPLY] courageous [PERIOD]
courageous [IMPLY] frightened [PERIOD]
comfortable [IMPLY] embarrassed [PERIOD]
courageous [AND] helpless [AND] joyous [IMPLY] attentive [PERIOD]
talented [AND] helpless [AND] horrible [IMPLY] straightforward [PERIOD]
attentive [AND] comfortable [IMPLY] horrible [PERIOD]
comfortable [IMPLY] attentive [PERIOD]
plain [AND] courageous [AND] amused [IMPLY] embarrassed [PERIOD]
outstanding [AND] embarrassed [AND] worried [IMPLY] comfortable [PERIOD]
amused [IMPLY] tense [PERIOD]
gorgeous [AND] frightened [AND] attentive [IMPLY] helpless [PERIOD]
courageous [AND] jittery [AND] joyous [IMPLY] amused [PERIOD]
precious [AND] clumsy [AND] attentive [IMPLY] joyous [PERIOD]
talented [IMPLY] comfortable [PERIOD]
clumsy [IMPLY] helpless [PERIOD]
jittery [AND] courageous [IMPLY] horrible [PERIOD]
tense [AND] outstanding [IMPLY] worried [PERIOD]
worried [IMPLY] horrible [PERIOD]
precious [AND] amused [IMPLY] gorgeous [PERIOD]
attentive [AND] plain [IMPLY] frail [PERIOD]
horrible [IMPLY] jittery [PERIOD]
frail [IMPLY] helpless [PERIOD]
straightforward [AND] jittery [IMPLY] frightened [PERIOD]
precious [AND] joyous [AND] straightforward [IMPLY] outstanding [PERIOD]
bored [AND] worried [AND] horrible [IMPLY] amused [PERIOD]
jittery [AND] horrible [IMPLY] precious [PERIOD]
precious [AND] embarrassed [IMPLY] outstanding [PERIOD]
frightened [IMPLY] comfortable [PERIOD]
plain [IMPLY] worried [PERIOD]
precious [AND] amused [AND] comfortable [IMPLY] worried [PERIOD]
embarrassed [AND] plain [IMPLY] joyous [PERIOD]
outstanding [IMPLY] gorgeous [PERIOD]
attentive [IMPLY] outstanding [PERIOD]
courageous [AND] straightforward [IMPLY] jittery [PERIOD]
talented [AND] gorgeous [AND] worried [IMPLY] jittery [PERIOD]
joyous [AND] amused [AND] plain [IMPLY] clumsy [PERIOD]
attentive [IMPLY] frail [PERIOD]
attentive [IMPLY] clumsy [PERIOD]
comfortable [AND] gorgeous [AND] amused [IMPLY] plain [PERIOD]
frail [AND] embarrassed [IMPLY] worried [PERIOD]
gorgeous [AND] bored [AND] comfortable [IMPLY] embarrassed [PERIOD]
gorgeous [AND] horrible [AND] frightened [IMPLY] attentive [PERIOD]
embarrassed [AND] frightened [IMPLY] jittery [PERIOD]
bored [IMPLY] horrible [PERIOD]
frightened [AND] worried [AND] plain [IMPLY] courageous [PERIOD]
frail [IMPLY] frightened [PERIOD]
jittery [AND] gorgeous [AND] frightened [IMPLY] attentive [PERIOD]
bored [AND] straightforward [AND] frail [IMPLY] precious [PERIOD]
outstanding [AND] jittery [IMPLY] horrible [PERIOD]
attentive [AND] plain [IMPLY] embarrassed [PERIOD]
bored [AND] jittery [AND] outstanding [IMPLY] attentive [PERIOD]
plain [AND] frightened [IMPLY] horrible [PERIOD]
bored [AND] worried [IMPLY] comfortable [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   talented ⇒ comfortable
   comfortable ⇒ attentive
   attentive ⇒ outstanding
",1,3
"Facts:  Alice is adorable [PERIOD] Alice is smart [PERIOD] Alice is quaint [PERIOD] Alice is difficult [PERIOD] Alice is frightened [PERIOD] Alice is spotless [PERIOD] Alice is impartial [PERIOD] Alice is hilarious [PERIOD] Alice is embarrassed [PERIOD] Alice is anxious [PERIOD] Alice is selfish [PERIOD] Alice is weary [PERIOD] Alice is unpleasant [PERIOD] Alice is supportive [PERIOD] Alice is tired [PERIOD] Alice is good [PERIOD] Alice is grumpy [PERIOD] Alice is rude [PERIOD]
Rules:
smart [IMPLY] quaint [PERIOD]
tender [AND] smart [IMPLY] unpleasant [PERIOD]
clean [AND] impartial [IMPLY] unpleasant [PERIOD]
clean [AND] weary [IMPLY] grumpy [PERIOD]
tender [IMPLY] quaint [PERIOD]
anxious [AND] embarrassed [AND] good [IMPLY] impartial [PERIOD]
embarrassed [IMPLY] rude [PERIOD]
tired [IMPLY] thoughtless [PERIOD]
adorable [AND] embarrassed [IMPLY] bossy [PERIOD]
unpleasant [AND] grumpy [AND] selfish [IMPLY] smart [PERIOD]
smart [AND] weary [AND] selfish [IMPLY] adorable [PERIOD]
hilarious [IMPLY] embarrassed [PERIOD]
thoughtless [AND] tired [IMPLY] alert [PERIOD]
spotless [AND] adorable [IMPLY] difficult [PERIOD]
selfish [IMPLY] lonely [PERIOD]
clean [AND] tired [AND] quaint [IMPLY] courageous [PERIOD]
good [AND] spotless [AND] courageous [IMPLY] alert [PERIOD]
dishonest [AND] alert [AND] embarrassed [IMPLY] good [PERIOD]
selfish [AND] quaint [AND] dishonest [IMPLY] weary [PERIOD]
selfish [AND] weary [IMPLY] grumpy [PERIOD]
spotless [IMPLY] homely [PERIOD]
grumpy [IMPLY] alert [PERIOD]
tender [AND] gleaming [AND] strange [IMPLY] quaint [PERIOD]
hilarious [IMPLY] difficult [PERIOD]
quaint [AND] gleaming [AND] rude [IMPLY] adorable [PERIOD]
supportive [AND] tired [IMPLY] hilarious [PERIOD]
unpleasant [AND] supportive [IMPLY] adorable [PERIOD]
tired [IMPLY] supportive [PERIOD]
supportive [IMPLY] courageous [PERIOD]
gleaming [AND] good [IMPLY] adorable [PERIOD]
strange [AND] supportive [IMPLY] gleaming [PERIOD]
spotless [AND] thoughtless [IMPLY] lonely [PERIOD]
tender [AND] anxious [IMPLY] bossy [PERIOD]
difficult [AND] gleaming [IMPLY] embarrassed [PERIOD]
alert [AND] thoughtless [IMPLY] embarrassed [PERIOD]
homely [AND] selfish [AND] tired [IMPLY] lonely [PERIOD]
difficult [AND] weary [IMPLY] courageous [PERIOD]
impartial [IMPLY] dishonest [PERIOD]
good [AND] embarrassed [IMPLY] bossy [PERIOD]
anxious [AND] good [AND] quaint [IMPLY] unpleasant [PERIOD]
smart [AND] weary [AND] homely [IMPLY] lonely [PERIOD]
weary [IMPLY] lonely [PERIOD]
tender [IMPLY] adorable [PERIOD]
rude [AND] tender [AND] impartial [IMPLY] gleaming [PERIOD]
quaint [AND] grumpy [AND] hilarious [IMPLY] rude [PERIOD]
hilarious [AND] courageous [AND] homely [IMPLY] quaint [PERIOD]
quaint [AND] lonely [AND] good [IMPLY] supportive [PERIOD]
unpleasant [AND] difficult [AND] bossy [IMPLY] selfish [PERIOD]
hilarious [AND] weary [AND] difficult [IMPLY] alert [PERIOD]
bossy [AND] anxious [AND] embarrassed [IMPLY] alert [PERIOD]
anxious [AND] lonely [AND] adorable [IMPLY] difficult [PERIOD]
spotless [AND] bossy [AND] tender [IMPLY] hilarious [PERIOD]
lonely [AND] smart [IMPLY] dishonest [PERIOD]
courageous [AND] strange [IMPLY] selfish [PERIOD]
quaint [AND] anxious [IMPLY] bossy [PERIOD]
unpleasant [AND] grumpy [IMPLY] tender [PERIOD]
bossy [AND] selfish [IMPLY] dishonest [PERIOD]
weary [IMPLY] grumpy [PERIOD]
spotless [AND] rude [IMPLY] good [PERIOD]
bossy [IMPLY] anxious [PERIOD]
courageous [AND] anxious [AND] adorable [IMPLY] embarrassed [PERIOD]
difficult [IMPLY] courageous [PERIOD]
courageous [AND] bossy [AND] strange [IMPLY] smart [PERIOD]
tired [AND] good [IMPLY] supportive [PERIOD]
embarrassed [AND] alert [IMPLY] spotless [PERIOD]
dishonest [AND] alert [IMPLY] selfish [PERIOD]
weary [AND] hilarious [AND] supportive [IMPLY] embarrassed [PERIOD]
good [IMPLY] dishonest [PERIOD]
selfish [AND] good [IMPLY] hilarious [PERIOD]
hilarious [AND] grumpy [IMPLY] frightened [PERIOD]
rude [IMPLY] frightened [PERIOD]
strange [AND] weary [IMPLY] anxious [PERIOD]
courageous [AND] hilarious [IMPLY] adorable [PERIOD]
strange [IMPLY] smart [PERIOD]
difficult [AND] homely [IMPLY] unpleasant [PERIOD]
selfish [AND] hilarious [AND] tired [IMPLY] dishonest [PERIOD]
tender [AND] thoughtless [AND] gleaming [IMPLY] grumpy [PERIOD]
frightened [IMPLY] hilarious [PERIOD]
gleaming [AND] homely [IMPLY] good [PERIOD]
bossy [AND] smart [IMPLY] hilarious [PERIOD]
difficult [IMPLY] alert [PERIOD]
embarrassed [AND] weary [AND] good [IMPLY] frightened [PERIOD]
adorable [IMPLY] strange [PERIOD]
alert [AND] hilarious [AND] frightened [IMPLY] thoughtless [PERIOD]
hilarious [AND] good [AND] frightened [IMPLY] impartial [PERIOD]
adorable [AND] unpleasant [IMPLY] weary [PERIOD]
spotless [AND] courageous [IMPLY] selfish [PERIOD]
tired [AND] impartial [AND] grumpy [IMPLY] supportive [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
clumsy [AND] tense [AND] polite [IMPLY] reserved [PERIOD]
beautiful [IMPLY] polite [PERIOD]
reserved [AND] stubborn [IMPLY] tame [PERIOD]
long [AND] stubborn [AND] lucky [IMPLY] exuberant [PERIOD]
clumsy [AND] polite [AND] lucky [IMPLY] comfortable [PERIOD]
tame [AND] shiny [AND] long [IMPLY] hypocritical [PERIOD]
fancy [IMPLY] loving [PERIOD]
mean [AND] blushing [AND] old-fashioned [IMPLY] selfish [PERIOD]
glamorous [AND] tense [AND] beautiful [IMPLY] exuberant [PERIOD]
frightened [IMPLY] polite [PERIOD]
plain [AND] exuberant [AND] combative [IMPLY] glamorous [PERIOD]
vivacious [IMPLY] stubborn [PERIOD]
beautiful [AND] exuberant [IMPLY] hypocritical [PERIOD]
blushing [AND] hypocritical [AND] exuberant [IMPLY] long [PERIOD]
clumsy [AND] glamorous [IMPLY] tame [PERIOD]
stubborn [AND] lucky [IMPLY] zealous [PERIOD]
scared [AND] tame [IMPLY] long [PERIOD]
tense [IMPLY] long [PERIOD]
zealous [AND] messy [IMPLY] hypocritical [PERIOD]
mean [AND] beautiful [IMPLY] fancy [PERIOD]
long [AND] mean [AND] exuberant [IMPLY] thoughtful [PERIOD]
tense [AND] shiny [AND] scared [IMPLY] loving [PERIOD]
scared [IMPLY] zealous [PERIOD]
plain [AND] zealous [AND] loving [IMPLY] combative [PERIOD]
stubborn [IMPLY] lucky [PERIOD]
vivacious [AND] fancy [IMPLY] tame [PERIOD]
reserved [AND] stubborn [IMPLY] scared [PERIOD]
tense [AND] comfortable [AND] tame [IMPLY] vivacious [PERIOD]
clumsy [AND] long [IMPLY] reserved [PERIOD]
reserved [AND] ugliest [AND] lucky [IMPLY] comfortable [PERIOD]
vivacious [AND] lucky [AND] shiny [IMPLY] scared [PERIOD]
ugliest [AND] old-fashioned [AND] hypocritical [IMPLY] scared [PERIOD]
shiny [IMPLY] blushing [PERIOD]
thoughtful [IMPLY] ugliest [PERIOD]
blushing [AND] combative [IMPLY] polite [PERIOD]
ugliest [AND] tame [IMPLY] exuberant [PERIOD]
loving [AND] fancy [IMPLY] comfortable [PERIOD]
lucky [IMPLY] long [PERIOD]
tense [IMPLY] polite [PERIOD]
selfish [IMPLY] fancy [PERIOD]
long [AND] frightened [IMPLY] hypocritical [PERIOD]
clumsy [AND] loving [AND] mean [IMPLY] fancy [PERIOD]
scared [AND] loving [IMPLY] vivacious [PERIOD]
mean [IMPLY] lucky [PERIOD]
polite [AND] disobedient [IMPLY] frightened [PERIOD]
old-fashioned [AND] glamorous [IMPLY] mean [PERIOD]
old-fashioned [IMPLY] zealous [PERIOD]
lucky [AND] loving [IMPLY] messy [PERIOD]
clumsy [AND] hypocritical [IMPLY] frightened [PERIOD]
disobedient [AND] ugliest [AND] frightened [IMPLY] mean [PERIOD]
reserved [AND] beautiful [AND] selfish [IMPLY] scared [PERIOD]
thoughtful [AND] ugliest [AND] blushing [IMPLY] vivacious [PERIOD]
blushing [IMPLY] stubborn [PERIOD]
exuberant [AND] messy [AND] tame [IMPLY] disobedient [PERIOD]
thoughtful [AND] mean [AND] selfish [IMPLY] zealous [PERIOD]
tame [AND] stubborn [IMPLY] zealous [PERIOD]
blushing [AND] frightened [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] ugliest [PERIOD]
lucky [IMPLY] polite [PERIOD]
selfish [AND] long [AND] exuberant [IMPLY] old-fashioned [PERIOD]
frightened [AND] tame [AND] zealous [IMPLY] hypocritical [PERIOD]
shiny [IMPLY] disobedient [PERIOD]
fancy [IMPLY] scared [PERIOD]
tame [IMPLY] tense [PERIOD]
lucky [AND] thoughtful [AND] combative [IMPLY] long [PERIOD]
thoughtful [AND] loving [IMPLY] tame [PERIOD]
messy [IMPLY] polite [PERIOD]
comfortable [AND] selfish [AND] beautiful [IMPLY] tense [PERIOD]
beautiful [AND] fancy [AND] thoughtful [IMPLY] zealous [PERIOD]
hypocritical [AND] plain [AND] beautiful [IMPLY] old-fashioned [PERIOD]
hypocritical [AND] disobedient [IMPLY] glamorous [PERIOD]
scared [IMPLY] vivacious [PERIOD]
glamorous [AND] frightened [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] beautiful [PERIOD]
tense [AND] loving [AND] messy [IMPLY] reserved [PERIOD]
mean [AND] shiny [IMPLY] comfortable [PERIOD]
frightened [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] stubborn [PERIOD]
thoughtful [IMPLY] selfish [PERIOD]
shiny [IMPLY] beautiful [PERIOD]
hypocritical [AND] fancy [IMPLY] loving [PERIOD]
stubborn [AND] zealous [AND] plain [IMPLY] comfortable [PERIOD]
polite [IMPLY] vivacious [PERIOD]
lucky [AND] combative [IMPLY] frightened [PERIOD]
tame [AND] plain [IMPLY] exuberant [PERIOD]
lucky [IMPLY] fancy [PERIOD]
combative [AND] ugliest [IMPLY] loving [PERIOD]
messy [AND] selfish [AND] fancy [IMPLY] tame [PERIOD]
thoughtful [IMPLY] lucky [PERIOD]
lucky [IMPLY] comfortable [PERIOD]
exuberant [AND] ugliest [IMPLY] glamorous [PERIOD]
comfortable [AND] long [IMPLY] zealous [PERIOD]
tame [IMPLY] long [PERIOD]
zealous [AND] fancy [IMPLY] mean [PERIOD]
frightened [AND] combative [AND] tame [IMPLY] vivacious [PERIOD]
lucky [IMPLY] old-fashioned [PERIOD]
tame [IMPLY] plain [PERIOD]
disobedient [AND] zealous [AND] tense [IMPLY] plain [PERIOD]
exuberant [AND] comfortable [IMPLY] tense [PERIOD]
frightened [AND] tame [AND] ugliest [IMPLY] hypocritical [PERIOD]
hypocritical [AND] frightened [IMPLY] vivacious [PERIOD]
tense [AND] polite [IMPLY] comfortable [PERIOD]
exuberant [AND] mean [AND] thoughtful [IMPLY] stubborn [PERIOD]
hypocritical [AND] blushing [AND] vivacious [IMPLY] thoughtful [PERIOD]
tense [IMPLY] loving [PERIOD]
zealous [AND] blushing [AND] frightened [IMPLY] plain [PERIOD]
frightened [IMPLY] blushing [PERIOD]
old-fashioned [AND] combative [IMPLY] messy [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   Cannot apply rule “long ∧ mean ∧ exuberant ⇒ thoughtful” because missing: long, mean, exuberant.
   Cannot apply rule “frightened ⇒ thoughtful” because missing: frightened.
   Cannot apply rule “hypocritical ∧ blushing ∧ vivacious ⇒ thoughtful” because missing: hypocritical, blushing, vivacious.
",0,3
"Facts: 
Rules:
anxious [AND] agreeable [IMPLY] talkative [PERIOD]
pessimistic [AND] modern [IMPLY] talkative [PERIOD]
modern [IMPLY] troubled [PERIOD]
excited [IMPLY] mysterious [PERIOD]
reserved [AND] modern [AND] mysterious [IMPLY] anxious [PERIOD]
loving [AND] agreeable [IMPLY] talkative [PERIOD]
mysterious [AND] troubled [AND] anxious [IMPLY] old-fashioned [PERIOD]
mysterious [AND] hilarious [AND] talkative [IMPLY] bored [PERIOD]
shiny [AND] loving [AND] fancy [IMPLY] anxious [PERIOD]
sensible [AND] jittery [AND] mysterious [IMPLY] excited [PERIOD]
shiny [AND] exuberant [IMPLY] loving [PERIOD]
reserved [AND] weary [IMPLY] exuberant [PERIOD]
pessimistic [IMPLY] exuberant [PERIOD]
bored [AND] jittery [AND] exuberant [IMPLY] loving [PERIOD]
shiny [AND] reserved [AND] mysterious [IMPLY] fancy [PERIOD]
mysterious [AND] fancy [AND] weary [IMPLY] anxious [PERIOD]
talkative [AND] troubled [IMPLY] pessimistic [PERIOD]
anxious [AND] loving [AND] shiny [IMPLY] mysterious [PERIOD]
talkative [AND] shiny [AND] reserved [IMPLY] jittery [PERIOD]
anxious [IMPLY] sensible [PERIOD]
bored [AND] weary [AND] shiny [IMPLY] reserved [PERIOD]
hilarious [IMPLY] weary [PERIOD]
loving [AND] fancy [AND] sensible [IMPLY] agreeable [PERIOD]
fancy [IMPLY] modern [PERIOD]
hilarious [IMPLY] jittery [PERIOD]
agreeable [AND] anxious [AND] old-fashioned [IMPLY] shiny [PERIOD]
fancy [AND] pessimistic [AND] anxious [IMPLY] troubled [PERIOD]
bored [IMPLY] modern [PERIOD]
talkative [IMPLY] troubled [PERIOD]
bored [AND] loving [AND] fancy [IMPLY] old-fashioned [PERIOD]
talkative [AND] reserved [IMPLY] excited [PERIOD]
mysterious [AND] old-fashioned [IMPLY] excited [PERIOD]
reserved [AND] mysterious [AND] loving [IMPLY] excited [PERIOD]
sensible [AND] agreeable [AND] talkative [IMPLY] excited [PERIOD]
shiny [AND] excited [AND] agreeable [IMPLY] weary [PERIOD]
old-fashioned [AND] bored [IMPLY] exuberant [PERIOD]
exuberant [AND] modern [IMPLY] troubled [PERIOD]
bored [AND] jittery [AND] loving [IMPLY] anxious [PERIOD]
reserved [AND] talkative [AND] sensible [IMPLY] troubled [PERIOD]
hilarious [AND] anxious [AND] loving [IMPLY] mysterious [PERIOD]
troubled [AND] talkative [IMPLY] sensible [PERIOD]
troubled [IMPLY] mysterious [PERIOD]
jittery [IMPLY] agreeable [PERIOD]
old-fashioned [AND] pessimistic [AND] agreeable [IMPLY] hilarious [PERIOD]
hilarious [AND] anxious [AND] talkative [IMPLY] agreeable [PERIOD]
fancy [IMPLY] loving [PERIOD]
jittery [IMPLY] pessimistic [PERIOD]
bored [IMPLY] loving [PERIOD]
jittery [IMPLY] old-fashioned [PERIOD]
reserved [AND] anxious [IMPLY] exuberant [PERIOD]
exuberant [AND] old-fashioned [IMPLY] weary [PERIOD]
agreeable [AND] loving [AND] shiny [IMPLY] troubled [PERIOD]
old-fashioned [AND] pessimistic [AND] sensible [IMPLY] bored [PERIOD]
old-fashioned [AND] sensible [IMPLY] exuberant [PERIOD]
mysterious [AND] loving [AND] reserved [IMPLY] bored [PERIOD]
loving [AND] hilarious [IMPLY] jittery [PERIOD]
hilarious [AND] troubled [AND] sensible [IMPLY] pessimistic [PERIOD]
mysterious [IMPLY] bored [PERIOD]
modern [IMPLY] mysterious [PERIOD]
loving [AND] anxious [IMPLY] old-fashioned [PERIOD]
fancy [IMPLY] talkative [PERIOD]
anxious [AND] fancy [AND] hilarious [IMPLY] bored [PERIOD]
troubled [AND] reserved [AND] excited [IMPLY] old-fashioned [PERIOD]
excited [IMPLY] anxious [PERIOD]
jittery [AND] anxious [IMPLY] troubled [PERIOD]
talkative [IMPLY] weary [PERIOD]
jittery [AND] mysterious [AND] sensible [IMPLY] pessimistic [PERIOD]
troubled [AND] sensible [AND] bored [IMPLY] mysterious [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “anxious ∧ agreeable ⇒ talkative” because missing: anxious, agreeable.
   Cannot apply rule “pessimistic ∧ modern ⇒ talkative” because missing: pessimistic, modern.
   Cannot apply rule “loving ∧ agreeable ⇒ talkative” because missing: loving, agreeable.
   Cannot apply rule “fancy ⇒ talkative” because missing: fancy.
",0,4
"Facts:  Alice is crowded [PERIOD] Alice is fearless [PERIOD] Alice is beautiful [PERIOD] Alice is sleepy [PERIOD]
Rules:
proud [IMPLY] enchanting [PERIOD]
fearless [AND] beautiful [AND] blushing [IMPLY] dishonest [PERIOD]
dishonest [AND] proud [IMPLY] sleepy [PERIOD]
sleepy [AND] beautiful [IMPLY] proud [PERIOD]
blushing [AND] sleepy [AND] proud [IMPLY] fearless [PERIOD]
fearless [IMPLY] enchanting [PERIOD]
dishonest [AND] fearless [IMPLY] sleepy [PERIOD]
sleepy [AND] blushing [AND] dishonest [IMPLY] crowded [PERIOD]
blushing [AND] crowded [AND] beautiful [IMPLY] enchanting [PERIOD]
fearless [IMPLY] dishonest [PERIOD]
sleepy [AND] crowded [AND] proud [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] crowded [PERIOD]
beautiful [AND] dishonest [IMPLY] proud [PERIOD]
dishonest [IMPLY] fearless [PERIOD]
sleepy [AND] beautiful [AND] blushing [IMPLY] fearless [PERIOD]
dishonest [IMPLY] crowded [PERIOD]
crowded [IMPLY] blushing [PERIOD]
blushing [IMPLY] sleepy [PERIOD]
sleepy [AND] enchanting [IMPLY] dishonest [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   crowded ⇒ blushing
",1,1
"Facts:  Alice is rude [PERIOD] Alice is fine [PERIOD] Alice is foolish [PERIOD] Alice is pleasant [PERIOD] Alice is helpful [PERIOD]
Rules:
foolish [AND] rude [AND] fine [IMPLY] pleasant [PERIOD]
foolish [AND] rude [IMPLY] impatient [PERIOD]
fine [AND] foolish [AND] aggressive [IMPLY] helpful [PERIOD]
impatient [AND] pleasant [IMPLY] aggressive [PERIOD]
spotless [IMPLY] rude [PERIOD]
impatient [AND] fine [IMPLY] different [PERIOD]
different [AND] impatient [AND] aggressive [IMPLY] helpful [PERIOD]
aggressive [AND] pleasant [IMPLY] helpful [PERIOD]
impatient [IMPLY] pleasant [PERIOD]
foolish [AND] rude [IMPLY] different [PERIOD]
fine [AND] different [IMPLY] rude [PERIOD]
spotless [IMPLY] foolish [PERIOD]
impatient [AND] rude [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] different [PERIOD]
helpful [AND] rude [IMPLY] different [PERIOD]
rude [AND] different [AND] aggressive [IMPLY] foolish [PERIOD]
pleasant [IMPLY] helpful [PERIOD]
spotless [AND] helpful [AND] fine [IMPLY] aggressive [PERIOD]
fine [IMPLY] different [PERIOD]
aggressive [AND] helpful [AND] fine [IMPLY] rude [PERIOD]
spotless [AND] rude [IMPLY] fine [PERIOD]
helpful [IMPLY] foolish [PERIOD]
pleasant [IMPLY] foolish [PERIOD]
fine [IMPLY] pleasant [PERIOD]
rude [AND] spotless [IMPLY] helpful [PERIOD]
aggressive [AND] pleasant [IMPLY] impatient [PERIOD]
foolish [AND] rude [IMPLY] fine [PERIOD]
foolish [AND] spotless [AND] different [IMPLY] helpful [PERIOD]
different [AND] aggressive [IMPLY] helpful [PERIOD]
foolish [AND] helpful [AND] different [IMPLY] pleasant [PERIOD]
different [AND] aggressive [IMPLY] rude [PERIOD]
aggressive [AND] rude [AND] fine [IMPLY] different [PERIOD]
foolish [AND] aggressive [AND] different [IMPLY] fine [PERIOD]
pleasant [AND] aggressive [AND] rude [IMPLY] impatient [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
   foolish ∧ rude ⇒ impatient
   impatient ∧ pleasant ⇒ aggressive
",1,2
"Facts:  Alice is glamorous [PERIOD] Alice is anxious [PERIOD] Alice is confident [PERIOD]
Rules:
excited [IMPLY] intellectual [PERIOD]
ugliest [AND] serious [IMPLY] popular [PERIOD]
anxious [AND] serious [IMPLY] excited [PERIOD]
intellectual [AND] horrible [AND] broad-minded [IMPLY] gorgeous [PERIOD]
gorgeous [AND] curious [IMPLY] serious [PERIOD]
curious [AND] helpless [IMPLY] confident [PERIOD]
horrible [AND] exuberant [AND] broad-minded [IMPLY] anxious [PERIOD]
easy [AND] anxious [IMPLY] curious [PERIOD]
ugliest [AND] tame [IMPLY] uptight [PERIOD]
tame [AND] homely [AND] alert [IMPLY] selfish [PERIOD]
serious [AND] horrible [IMPLY] broad-minded [PERIOD]
ugliest [AND] broad-minded [IMPLY] helpless [PERIOD]
glamorous [AND] confident [IMPLY] homely [PERIOD]
serious [AND] curious [IMPLY] shiny [PERIOD]
serious [AND] gorgeous [IMPLY] easy [PERIOD]
helpless [AND] confident [AND] easy [IMPLY] unpleasant [PERIOD]
selfish [AND] shiny [AND] exuberant [IMPLY] horrible [PERIOD]
easy [IMPLY] excited [PERIOD]
helpless [AND] unpleasant [IMPLY] excited [PERIOD]
anxious [IMPLY] ugliest [PERIOD]
homely [AND] glamorous [IMPLY] tame [PERIOD]
horrible [AND] gorgeous [AND] helpless [IMPLY] shiny [PERIOD]
homely [AND] gorgeous [IMPLY] glamorous [PERIOD]
easy [AND] anxious [IMPLY] ugliest [PERIOD]
helpless [AND] horrible [AND] exuberant [IMPLY] shiny [PERIOD]
exuberant [AND] selfish [IMPLY] curious [PERIOD]
unpleasant [AND] uptight [AND] gorgeous [IMPLY] homely [PERIOD]
homely [AND] confident [IMPLY] glamorous [PERIOD]
unpleasant [AND] helpless [AND] confident [IMPLY] exuberant [PERIOD]
popular [AND] shiny [AND] ugliest [IMPLY] horrible [PERIOD]
glamorous [AND] curious [AND] helpless [IMPLY] excited [PERIOD]
confident [AND] alert [IMPLY] tame [PERIOD]
curious [IMPLY] popular [PERIOD]
curious [AND] alert [IMPLY] popular [PERIOD]
glamorous [IMPLY] alert [PERIOD]
gorgeous [AND] shiny [AND] selfish [IMPLY] anxious [PERIOD]
gorgeous [AND] tame [IMPLY] exuberant [PERIOD]
alert [AND] selfish [IMPLY] unpleasant [PERIOD]
exuberant [AND] broad-minded [IMPLY] unpleasant [PERIOD]
confident [AND] curious [AND] tame [IMPLY] selfish [PERIOD]
broad-minded [IMPLY] gorgeous [PERIOD]
serious [AND] horrible [AND] intellectual [IMPLY] alert [PERIOD]
uptight [AND] helpless [AND] serious [IMPLY] confident [PERIOD]
alert [AND] shiny [IMPLY] uptight [PERIOD]
horrible [AND] curious [IMPLY] anxious [PERIOD]
serious [AND] tame [AND] popular [IMPLY] gorgeous [PERIOD]
glamorous [IMPLY] popular [PERIOD]
glamorous [AND] popular [AND] shiny [IMPLY] helpless [PERIOD]
broad-minded [IMPLY] ugliest [PERIOD]
intellectual [AND] curious [AND] exuberant [IMPLY] uptight [PERIOD]
uptight [IMPLY] horrible [PERIOD]
easy [AND] intellectual [IMPLY] helpless [PERIOD]
easy [AND] anxious [IMPLY] homely [PERIOD]
curious [AND] unpleasant [IMPLY] ugliest [PERIOD]
anxious [IMPLY] uptight [PERIOD]
selfish [IMPLY] serious [PERIOD]
helpless [IMPLY] unpleasant [PERIOD]
horrible [IMPLY] intellectual [PERIOD]
exuberant [AND] confident [AND] alert [IMPLY] easy [PERIOD]
confident [AND] gorgeous [AND] uptight [IMPLY] broad-minded [PERIOD]
popular [AND] gorgeous [AND] intellectual [IMPLY] alert [PERIOD]
curious [IMPLY] exuberant [PERIOD]
popular [AND] broad-minded [IMPLY] unpleasant [PERIOD]
excited [IMPLY] confident [PERIOD]
uptight [AND] anxious [AND] glamorous [IMPLY] broad-minded [PERIOD]
ugliest [AND] homely [AND] confident [IMPLY] selfish [PERIOD]
intellectual [AND] curious [AND] shiny [IMPLY] glamorous [PERIOD]
unpleasant [AND] horrible [IMPLY] intellectual [PERIOD]
helpless [IMPLY] exuberant [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   glamorous ⇒ popular
   anxious ⇒ uptight
   uptight ∧ anxious ∧ glamorous ⇒ broad-minded
   popular ∧ broad-minded ⇒ unpleasant
",1,4
"Facts:  Alice is shiny [PERIOD] Alice is average [PERIOD] Alice is charming [PERIOD] Alice is gifted [PERIOD] Alice is confused [PERIOD] Alice is serious [PERIOD] Alice is jittery [PERIOD] Alice is frantic [PERIOD] Alice is tired [PERIOD] Alice is stupid [PERIOD] Alice is hurt [PERIOD] Alice is adorable [PERIOD] Alice is sensible [PERIOD] Alice is easy [PERIOD] Alice is loving [PERIOD] Alice is fine [PERIOD] Alice is scared [PERIOD] Alice is busy [PERIOD] Alice is powerful [PERIOD] Alice is pessimistic [PERIOD] Alice is muddy [PERIOD]
Rules:
adorable [IMPLY] broad-minded [PERIOD]
adorable [AND] muddy [IMPLY] frantic [PERIOD]
tender [AND] busy [AND] vivacious [IMPLY] sensible [PERIOD]
gifted [IMPLY] tender [PERIOD]
charming [IMPLY] easy [PERIOD]
broad-minded [AND] scared [AND] fine [IMPLY] pessimistic [PERIOD]
charming [AND] gifted [AND] adorable [IMPLY] sensible [PERIOD]
adorable [AND] serious [IMPLY] confused [PERIOD]
vivacious [IMPLY] helpful [PERIOD]
stupid [AND] easy [IMPLY] tired [PERIOD]
busy [AND] scared [IMPLY] sensible [PERIOD]
loving [IMPLY] fine [PERIOD]
adorable [AND] broad-minded [IMPLY] hurt [PERIOD]
adorable [AND] muddy [AND] easy [IMPLY] fine [PERIOD]
shiny [AND] powerful [AND] serious [IMPLY] fine [PERIOD]
frantic [AND] good [AND] powerful [IMPLY] helpful [PERIOD]
scared [IMPLY] average [PERIOD]
easy [AND] loving [AND] muddy [IMPLY] gifted [PERIOD]
broad-minded [AND] helpful [IMPLY] reserved [PERIOD]
broad-minded [AND] powerful [AND] helpful [IMPLY] busy [PERIOD]
tender [IMPLY] serious [PERIOD]
hurt [IMPLY] tender [PERIOD]
tired [AND] fine [AND] scared [IMPLY] tender [PERIOD]
scared [IMPLY] pessimistic [PERIOD]
pessimistic [AND] frantic [AND] average [IMPLY] tender [PERIOD]
broad-minded [AND] average [IMPLY] gifted [PERIOD]
shiny [IMPLY] muddy [PERIOD]
broad-minded [AND] gifted [AND] stupid [IMPLY] shiny [PERIOD]
shiny [AND] adorable [AND] scared [IMPLY] powerful [PERIOD]
loving [AND] busy [AND] adorable [IMPLY] tired [PERIOD]
muddy [AND] frantic [IMPLY] jittery [PERIOD]
confused [AND] powerful [AND] charming [IMPLY] sensible [PERIOD]
easy [AND] broad-minded [IMPLY] good [PERIOD]
broad-minded [AND] shiny [AND] loving [IMPLY] charming [PERIOD]
muddy [AND] broad-minded [IMPLY] shiny [PERIOD]
helpful [AND] hurt [IMPLY] busy [PERIOD]
pessimistic [AND] vivacious [AND] good [IMPLY] gifted [PERIOD]
muddy [AND] confused [IMPLY] helpful [PERIOD]
frantic [AND] good [AND] gifted [IMPLY] broad-minded [PERIOD]
pessimistic [AND] scared [AND] average [IMPLY] good [PERIOD]
hurt [AND] powerful [AND] reserved [IMPLY] adorable [PERIOD]
scared [AND] helpful [AND] stupid [IMPLY] jittery [PERIOD]
jittery [AND] frantic [AND] good [IMPLY] shiny [PERIOD]
tired [AND] scared [IMPLY] pessimistic [PERIOD]
gifted [AND] stupid [AND] confused [IMPLY] broad-minded [PERIOD]
confused [AND] easy [AND] charming [IMPLY] muddy [PERIOD]
charming [AND] easy [IMPLY] confused [PERIOD]
powerful [AND] hurt [AND] jittery [IMPLY] tired [PERIOD]
powerful [IMPLY] broad-minded [PERIOD]
good [IMPLY] hurt [PERIOD]
pessimistic [AND] easy [IMPLY] helpful [PERIOD]
gifted [AND] powerful [IMPLY] vivacious [PERIOD]
frantic [AND] powerful [IMPLY] helpful [PERIOD]
charming [AND] good [AND] shiny [IMPLY] gifted [PERIOD]
average [AND] hurt [IMPLY] stupid [PERIOD]
reserved [AND] frantic [IMPLY] jittery [PERIOD]
frantic [IMPLY] helpful [PERIOD]
easy [AND] loving [IMPLY] busy [PERIOD]
vivacious [IMPLY] serious [PERIOD]
muddy [IMPLY] shiny [PERIOD]
pessimistic [AND] tender [IMPLY] tired [PERIOD]
reserved [AND] serious [IMPLY] sensible [PERIOD]
easy [AND] loving [IMPLY] broad-minded [PERIOD]
jittery [AND] pessimistic [IMPLY] tired [PERIOD]
busy [AND] serious [IMPLY] tender [PERIOD]
easy [AND] broad-minded [IMPLY] serious [PERIOD]
frantic [AND] busy [IMPLY] pessimistic [PERIOD]
hurt [IMPLY] confused [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is frightened [PERIOD] Alice is weary [PERIOD]
Rules:
frightened [IMPLY] tame [PERIOD]
thoughtful [AND] naughty [AND] mean [IMPLY] ugliest [PERIOD]
helpless [AND] mean [IMPLY] light [PERIOD]
thoughtful [AND] elated [IMPLY] bossy [PERIOD]
light [AND] homely [AND] helpless [IMPLY] mean [PERIOD]
straightforward [AND] dishonest [AND] cute [IMPLY] light [PERIOD]
clean [AND] weary [AND] frightened [IMPLY] calm [PERIOD]
tame [AND] scared [AND] elegant [IMPLY] embarrassed [PERIOD]
calm [AND] helpless [AND] embarrassed [IMPLY] elegant [PERIOD]
elated [AND] rational [AND] embarrassed [IMPLY] helpless [PERIOD]
frightened [AND] embarrassed [IMPLY] naughty [PERIOD]
elegant [IMPLY] mean [PERIOD]
weary [AND] rational [AND] light [IMPLY] elated [PERIOD]
attentive [IMPLY] mean [PERIOD]
dishonest [AND] helpless [AND] homely [IMPLY] victorious [PERIOD]
clean [IMPLY] lonely [PERIOD]
bossy [AND] weary [IMPLY] calm [PERIOD]
diplomatic [IMPLY] attentive [PERIOD]
cute [IMPLY] elegant [PERIOD]
bossy [AND] calm [IMPLY] modern [PERIOD]
embarrassed [IMPLY] rational [PERIOD]
tame [AND] victorious [AND] helpless [IMPLY] thoughtful [PERIOD]
disobedient [AND] elegant [AND] modern [IMPLY] rational [PERIOD]
rational [AND] modern [AND] bossy [IMPLY] elegant [PERIOD]
mean [AND] dishonest [IMPLY] scared [PERIOD]
mean [AND] elated [IMPLY] bossy [PERIOD]
embarrassed [AND] scared [AND] elegant [IMPLY] frightened [PERIOD]
homely [AND] calm [AND] attentive [IMPLY] versatile [PERIOD]
bossy [IMPLY] calm [PERIOD]
diplomatic [IMPLY] dishonest [PERIOD]
embarrassed [IMPLY] light [PERIOD]
versatile [AND] homely [IMPLY] rational [PERIOD]
attentive [IMPLY] ugliest [PERIOD]
versatile [IMPLY] clean [PERIOD]
clean [AND] weary [AND] dishonest [IMPLY] attentive [PERIOD]
embarrassed [AND] rational [IMPLY] light [PERIOD]
elated [AND] disobedient [AND] scared [IMPLY] attentive [PERIOD]
versatile [AND] homely [AND] tame [IMPLY] thoughtful [PERIOD]
clean [AND] rational [IMPLY] dishonest [PERIOD]
straightforward [AND] modern [AND] tame [IMPLY] light [PERIOD]
straightforward [AND] embarrassed [IMPLY] light [PERIOD]
lonely [IMPLY] homely [PERIOD]
cute [AND] clean [AND] modern [IMPLY] rational [PERIOD]
frightened [IMPLY] calm [PERIOD]
modern [AND] disobedient [AND] attentive [IMPLY] scared [PERIOD]
straightforward [AND] embarrassed [AND] naughty [IMPLY] frightened [PERIOD]
victorious [AND] thoughtful [AND] straightforward [IMPLY] diplomatic [PERIOD]
embarrassed [AND] attentive [IMPLY] polite [PERIOD]
thoughtful [AND] attentive [IMPLY] lonely [PERIOD]
embarrassed [AND] elegant [AND] rational [IMPLY] tame [PERIOD]
versatile [AND] disobedient [IMPLY] weary [PERIOD]
mean [AND] thoughtful [IMPLY] clean [PERIOD]
dishonest [AND] helpless [AND] embarrassed [IMPLY] mean [PERIOD]
dishonest [AND] tame [IMPLY] lonely [PERIOD]
versatile [AND] embarrassed [AND] clean [IMPLY] tame [PERIOD]
disobedient [IMPLY] attentive [PERIOD]
weary [IMPLY] calm [PERIOD]
frightened [AND] naughty [AND] weary [IMPLY] disobedient [PERIOD]
versatile [AND] light [IMPLY] diplomatic [PERIOD]
light [IMPLY] mean [PERIOD]
naughty [AND] lonely [IMPLY] cute [PERIOD]
weary [AND] elated [IMPLY] scared [PERIOD]
calm [IMPLY] straightforward [PERIOD]
elated [AND] ugliest [IMPLY] diplomatic [PERIOD]
calm [IMPLY] scared [PERIOD]
ugliest [IMPLY] clean [PERIOD]
versatile [IMPLY] polite [PERIOD]
tame [AND] diplomatic [IMPLY] elated [PERIOD]
frightened [AND] versatile [AND] embarrassed [IMPLY] scared [PERIOD]
bossy [IMPLY] elegant [PERIOD]
mean [AND] polite [AND] disobedient [IMPLY] ugliest [PERIOD]
helpless [AND] scared [AND] rational [IMPLY] cute [PERIOD]
clean [IMPLY] embarrassed [PERIOD]
attentive [AND] embarrassed [AND] weary [IMPLY] modern [PERIOD]
embarrassed [AND] cute [AND] versatile [IMPLY] homely [PERIOD]
clean [AND] victorious [IMPLY] rational [PERIOD]
polite [IMPLY] cute [PERIOD]
tame [IMPLY] embarrassed [PERIOD]
mean [AND] naughty [AND] dishonest [IMPLY] frightened [PERIOD]
elated [AND] homely [IMPLY] disobedient [PERIOD]
victorious [AND] diplomatic [IMPLY] cute [PERIOD]
elegant [AND] weary [AND] mean [IMPLY] light [PERIOD]
straightforward [IMPLY] rational [PERIOD]
embarrassed [AND] light [IMPLY] calm [PERIOD]
light [IMPLY] lonely [PERIOD]
bossy [IMPLY] disobedient [PERIOD]
naughty [AND] mean [AND] diplomatic [IMPLY] frightened [PERIOD]
attentive [AND] victorious [IMPLY] dishonest [PERIOD]
calm [IMPLY] elegant [PERIOD]
ugliest [IMPLY] naughty [PERIOD]
cute [AND] dishonest [IMPLY] rational [PERIOD]
modern [IMPLY] attentive [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   frightened ⇒ tame
   tame ⇒ embarrassed
   frightened ∧ embarrassed ⇒ naughty
",1,3
"Facts:  Alice is bossy [PERIOD] Alice is jittery [PERIOD] Alice is clumsy [PERIOD] Alice is busy [PERIOD] Alice is friendly [PERIOD] Alice is alert [PERIOD]
Rules:
careless [IMPLY] friendly [PERIOD]
alert [IMPLY] busy [PERIOD]
stormy [IMPLY] muddy [PERIOD]
busy [AND] clumsy [IMPLY] stormy [PERIOD]
careless [AND] muddy [AND] alert [IMPLY] friendly [PERIOD]
muddy [AND] friendly [AND] careless [IMPLY] alert [PERIOD]
friendly [AND] bossy [AND] jittery [IMPLY] vivacious [PERIOD]
bossy [AND] friendly [AND] stormy [IMPLY] jittery [PERIOD]
jittery [AND] friendly [IMPLY] muddy [PERIOD]
bossy [IMPLY] anxious [PERIOD]
clumsy [IMPLY] careless [PERIOD]
friendly [AND] busy [IMPLY] jittery [PERIOD]
friendly [IMPLY] muddy [PERIOD]
clumsy [IMPLY] friendly [PERIOD]
busy [IMPLY] alert [PERIOD]
busy [IMPLY] stormy [PERIOD]
muddy [AND] anxious [AND] busy [IMPLY] clumsy [PERIOD]
busy [IMPLY] jittery [PERIOD]
careless [AND] jittery [AND] vivacious [IMPLY] busy [PERIOD]
friendly [AND] jittery [IMPLY] busy [PERIOD]
stormy [IMPLY] busy [PERIOD]
vivacious [AND] anxious [IMPLY] muddy [PERIOD]
stormy [AND] anxious [IMPLY] jittery [PERIOD]
jittery [AND] clumsy [AND] alert [IMPLY] careless [PERIOD]
careless [IMPLY] jittery [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   busy ⇒ stormy
",1,1
"Facts:  Alice is thoughtless [PERIOD] Alice is exuberant [PERIOD] Alice is courageous [PERIOD] Alice is frightened [PERIOD] Alice is distinct [PERIOD] Alice is precious [PERIOD] Alice is outrageous [PERIOD] Alice is scared [PERIOD] Alice is spotless [PERIOD]
Rules:
perfect [AND] scared [IMPLY] precious [PERIOD]
scared [AND] ugliest [IMPLY] outrageous [PERIOD]
cooperative [AND] courageous [AND] thoughtless [IMPLY] frightened [PERIOD]
curious [AND] perfect [AND] weary [IMPLY] distinct [PERIOD]
perfect [AND] enchanting [AND] cooperative [IMPLY] exuberant [PERIOD]
enchanting [AND] cooperative [AND] ugliest [IMPLY] thoughtless [PERIOD]
precious [AND] cooperative [AND] outrageous [IMPLY] frightened [PERIOD]
courageous [IMPLY] frightened [PERIOD]
weary [AND] frightened [AND] cooperative [IMPLY] courageous [PERIOD]
distinct [AND] scared [IMPLY] thoughtless [PERIOD]
distinct [AND] perfect [AND] thoughtless [IMPLY] courageous [PERIOD]
scared [AND] outrageous [AND] exuberant [IMPLY] distinct [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
impatient [IMPLY] fancy [PERIOD]
fancy [IMPLY] proud [PERIOD]
rude [AND] good [AND] impatient [IMPLY] hypocritical [PERIOD]
proud [IMPLY] fancy [PERIOD]
proud [AND] fancy [IMPLY] victorious [PERIOD]
charming [IMPLY] fancy [PERIOD]
victorious [IMPLY] rude [PERIOD]
hypocritical [IMPLY] good [PERIOD]
homely [AND] impatient [AND] charming [IMPLY] smart [PERIOD]
rude [AND] homely [AND] impatient [IMPLY] smart [PERIOD]
fancy [IMPLY] victorious [PERIOD]
rude [AND] hypocritical [IMPLY] impatient [PERIOD]
victorious [AND] good [AND] proud [IMPLY] rude [PERIOD]
homely [AND] rude [IMPLY] smart [PERIOD]
fancy [AND] charming [IMPLY] smart [PERIOD]
victorious [IMPLY] fancy [PERIOD]
impatient [AND] hypocritical [IMPLY] proud [PERIOD]
proud [AND] rude [AND] fancy [IMPLY] homely [PERIOD]
good [IMPLY] fancy [PERIOD]
hypocritical [AND] smart [AND] homely [IMPLY] good [PERIOD]
victorious [IMPLY] homely [PERIOD]
good [IMPLY] victorious [PERIOD]
hypocritical [AND] homely [IMPLY] impatient [PERIOD]
impatient [IMPLY] victorious [PERIOD]
fancy [AND] homely [IMPLY] victorious [PERIOD]
hypocritical [AND] charming [IMPLY] rude [PERIOD]
good [AND] charming [IMPLY] victorious [PERIOD]
hypocritical [AND] smart [AND] rude [IMPLY] proud [PERIOD]
proud [AND] rude [AND] charming [IMPLY] smart [PERIOD]
fancy [AND] homely [IMPLY] smart [PERIOD]
impatient [AND] victorious [AND] hypocritical [IMPLY] homely [PERIOD]
Query: Alice is smart [PERIOD]","Proof chain:
   Cannot apply rule “homely ∧ impatient ∧ charming ⇒ smart” because missing: homely, impatient, charming.
   Cannot apply rule “rude ∧ homely ∧ impatient ⇒ smart” because missing: rude, homely, impatient.
   Cannot apply rule “homely ∧ rude ⇒ smart” because missing: homely, rude.
   Cannot apply rule “fancy ∧ charming ⇒ smart” because missing: fancy, charming.
   Cannot apply rule “proud ∧ rude ∧ charming ⇒ smart” because missing: proud, rude, charming.
   Cannot apply rule “fancy ∧ homely ⇒ smart” because missing: fancy, homely.
",0,6
"Facts:  Alice is attractive [PERIOD] Alice is scared [PERIOD] Alice is excited [PERIOD]
Rules:
attractive [AND] careless [AND] excited [IMPLY] frantic [PERIOD]
helpless [AND] careless [IMPLY] scared [PERIOD]
rational [IMPLY] excited [PERIOD]
helpless [AND] rational [AND] inquisitive [IMPLY] scared [PERIOD]
frantic [IMPLY] careless [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   No rule concludes “amused.”
",0,1
"Facts:  Alice is perfect [PERIOD] Alice is dull [PERIOD]
Rules:
gorgeous [IMPLY] frantic [PERIOD]
hurt [AND] bright [IMPLY] gorgeous [PERIOD]
unpleasant [AND] agreeable [IMPLY] thoughtful [PERIOD]
hurt [IMPLY] spotless [PERIOD]
naughty [AND] blushing [IMPLY] gorgeous [PERIOD]
thoughtful [IMPLY] attentive [PERIOD]
agreeable [IMPLY] naughty [PERIOD]
spotless [AND] attentive [AND] wandering [IMPLY] bored [PERIOD]
wide-eyed [AND] bright [AND] agreeable [IMPLY] spotless [PERIOD]
unpleasant [AND] hurt [IMPLY] attractive [PERIOD]
frantic [IMPLY] gorgeous [PERIOD]
frantic [IMPLY] thoughtful [PERIOD]
perfect [IMPLY] spotless [PERIOD]
spotless [AND] bored [AND] wandering [IMPLY] frantic [PERIOD]
wandering [AND] dull [IMPLY] frantic [PERIOD]
fine [AND] broad-minded [IMPLY] gleaming [PERIOD]
blushing [IMPLY] wandering [PERIOD]
wandering [AND] attractive [IMPLY] unpleasant [PERIOD]
wrong [AND] bright [AND] attractive [IMPLY] wide-eyed [PERIOD]
naughty [AND] wide-eyed [AND] wandering [IMPLY] bored [PERIOD]
wandering [IMPLY] spotless [PERIOD]
gleaming [AND] dull [IMPLY] agreeable [PERIOD]
attentive [IMPLY] hurt [PERIOD]
attentive [AND] wrong [AND] gorgeous [IMPLY] fine [PERIOD]
frantic [AND] naughty [IMPLY] thoughtful [PERIOD]
unpleasant [IMPLY] fine [PERIOD]
frantic [AND] attentive [AND] naughty [IMPLY] hurt [PERIOD]
thoughtful [AND] wandering [AND] agreeable [IMPLY] broad-minded [PERIOD]
blushing [AND] dull [AND] perfect [IMPLY] gorgeous [PERIOD]
wide-eyed [AND] bored [AND] agreeable [IMPLY] dull [PERIOD]
dull [AND] thoughtful [IMPLY] bored [PERIOD]
gorgeous [AND] naughty [AND] fine [IMPLY] perfect [PERIOD]
bright [AND] agreeable [IMPLY] hurt [PERIOD]
perfect [IMPLY] naughty [PERIOD]
wide-eyed [IMPLY] hurt [PERIOD]
attractive [AND] broad-minded [IMPLY] gleaming [PERIOD]
wrong [AND] gleaming [AND] dull [IMPLY] agreeable [PERIOD]
fine [AND] wrong [AND] bored [IMPLY] wide-eyed [PERIOD]
dull [AND] frantic [AND] hurt [IMPLY] wandering [PERIOD]
perfect [AND] wandering [IMPLY] wrong [PERIOD]
blushing [AND] spotless [IMPLY] bright [PERIOD]
agreeable [AND] hurt [IMPLY] bright [PERIOD]
bright [IMPLY] hurt [PERIOD]
naughty [AND] straightforward [AND] dull [IMPLY] frantic [PERIOD]
wrong [IMPLY] blushing [PERIOD]
wrong [AND] attentive [AND] thoughtful [IMPLY] bright [PERIOD]
blushing [AND] wide-eyed [AND] naughty [IMPLY] agreeable [PERIOD]
attractive [AND] bored [IMPLY] spotless [PERIOD]
frantic [AND] wrong [AND] broad-minded [IMPLY] dull [PERIOD]
spotless [AND] straightforward [IMPLY] wide-eyed [PERIOD]
naughty [IMPLY] bored [PERIOD]
agreeable [AND] fine [IMPLY] bored [PERIOD]
attentive [AND] gorgeous [AND] bored [IMPLY] naughty [PERIOD]
wrong [IMPLY] spotless [PERIOD]
straightforward [IMPLY] attentive [PERIOD]
dull [IMPLY] unpleasant [PERIOD]
attentive [AND] wandering [AND] gorgeous [IMPLY] bored [PERIOD]
agreeable [IMPLY] attractive [PERIOD]
perfect [AND] straightforward [IMPLY] attentive [PERIOD]
dull [IMPLY] fine [PERIOD]
hurt [IMPLY] straightforward [PERIOD]
broad-minded [IMPLY] dull [PERIOD]
spotless [IMPLY] blushing [PERIOD]
bright [AND] broad-minded [IMPLY] frantic [PERIOD]
attentive [IMPLY] bright [PERIOD]
wandering [AND] bored [AND] attractive [IMPLY] blushing [PERIOD]
thoughtful [IMPLY] gleaming [PERIOD]
bored [AND] spotless [AND] perfect [IMPLY] wrong [PERIOD]
hurt [AND] wide-eyed [IMPLY] unpleasant [PERIOD]
attentive [AND] naughty [IMPLY] broad-minded [PERIOD]
straightforward [AND] wide-eyed [AND] blushing [IMPLY] bright [PERIOD]
perfect [IMPLY] fine [PERIOD]
blushing [AND] bored [AND] gleaming [IMPLY] wide-eyed [PERIOD]
agreeable [AND] dull [AND] straightforward [IMPLY] bored [PERIOD]
unpleasant [AND] blushing [IMPLY] bright [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   dull ⇒ unpleasant
   perfect ⇒ spotless
   spotless ⇒ blushing
   perfect ⇒ spotless
   blushing ∧ spotless ⇒ bright
   bright ⇒ hurt
   unpleasant ∧ hurt ⇒ attractive
",1,7
"Facts: 
Rules:
straightforward [AND] disgusted [AND] outrageous [IMPLY] combative [PERIOD]
outrageous [AND] zealous [AND] clean [IMPLY] attractive [PERIOD]
thoughtful [AND] clean [AND] silly [IMPLY] anxious [PERIOD]
combative [AND] worried [AND] careless [IMPLY] disgusted [PERIOD]
helpless [AND] silly [AND] loving [IMPLY] combative [PERIOD]
clean [IMPLY] silly [PERIOD]
worried [AND] silly [AND] sleepy [IMPLY] loving [PERIOD]
clean [AND] difficult [IMPLY] careless [PERIOD]
anxious [IMPLY] different [PERIOD]
helpless [AND] careless [AND] anxious [IMPLY] disgusted [PERIOD]
shy [IMPLY] different [PERIOD]
intellectual [AND] loving [AND] outrageous [IMPLY] clean [PERIOD]
different [AND] outrageous [AND] difficult [IMPLY] anxious [PERIOD]
sleepy [IMPLY] different [PERIOD]
zealous [AND] sleepy [AND] anxious [IMPLY] silly [PERIOD]
careless [AND] anxious [IMPLY] attractive [PERIOD]
calm [AND] combative [IMPLY] loving [PERIOD]
disgusted [AND] loving [IMPLY] sleepy [PERIOD]
anxious [IMPLY] intellectual [PERIOD]
sleepy [IMPLY] worried [PERIOD]
loving [IMPLY] difficult [PERIOD]
attractive [AND] careless [IMPLY] clean [PERIOD]
helpless [IMPLY] anxious [PERIOD]
careless [AND] clean [IMPLY] silly [PERIOD]
anxious [AND] worried [IMPLY] attractive [PERIOD]
difficult [AND] intellectual [AND] clean [IMPLY] calm [PERIOD]
silly [AND] combative [IMPLY] worried [PERIOD]
troubled [AND] disgusted [IMPLY] intellectual [PERIOD]
different [AND] calm [IMPLY] thoughtful [PERIOD]
calm [AND] silly [AND] loving [IMPLY] grumpy [PERIOD]
combative [AND] sleepy [AND] silly [IMPLY] difficult [PERIOD]
different [IMPLY] difficult [PERIOD]
intellectual [AND] grumpy [IMPLY] disgusted [PERIOD]
calm [AND] clean [IMPLY] outrageous [PERIOD]
worried [AND] different [AND] silly [IMPLY] combative [PERIOD]
combative [AND] sleepy [AND] thoughtful [IMPLY] difficult [PERIOD]
combative [IMPLY] different [PERIOD]
straightforward [IMPLY] combative [PERIOD]
calm [AND] careless [AND] grumpy [IMPLY] thoughtful [PERIOD]
different [IMPLY] sleepy [PERIOD]
difficult [AND] loving [AND] grumpy [IMPLY] outrageous [PERIOD]
combative [IMPLY] grumpy [PERIOD]
troubled [AND] difficult [IMPLY] worried [PERIOD]
grumpy [AND] troubled [AND] attractive [IMPLY] thoughtful [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   Cannot apply rule “thoughtful ∧ clean ∧ silly ⇒ anxious” because missing: thoughtful, clean, silly.
   Cannot apply rule “different ∧ outrageous ∧ difficult ⇒ anxious” because missing: different, outrageous, difficult.
   Cannot apply rule “helpless ⇒ anxious” because missing: helpless.
",0,3
"Facts:  Alice is hypocritical [PERIOD] Alice is aggressive [PERIOD] Alice is fearless [PERIOD]
Rules:
aggressive [AND] weary [AND] hilarious [IMPLY] dull [PERIOD]
weary [AND] frantic [AND] courageous [IMPLY] fearless [PERIOD]
dull [AND] talented [AND] uptight [IMPLY] combative [PERIOD]
bored [AND] unpleasant [IMPLY] courageous [PERIOD]
combative [AND] dull [AND] frantic [IMPLY] bored [PERIOD]
alert [IMPLY] victorious [PERIOD]
confident [IMPLY] hilarious [PERIOD]
uptight [IMPLY] talented [PERIOD]
hypocritical [AND] serious [AND] condemned [IMPLY] aggressive [PERIOD]
anxious [AND] bright [IMPLY] aggressive [PERIOD]
mean [AND] alert [AND] serious [IMPLY] dull [PERIOD]
frantic [IMPLY] dull [PERIOD]
fancy [IMPLY] bored [PERIOD]
fancy [IMPLY] unpleasant [PERIOD]
mean [IMPLY] talented [PERIOD]
serious [AND] condemned [AND] selfish [IMPLY] shiny [PERIOD]
bright [AND] condemned [IMPLY] hilarious [PERIOD]
talented [IMPLY] combative [PERIOD]
famous [AND] combative [IMPLY] fearless [PERIOD]
mean [AND] talented [AND] hilarious [IMPLY] hypocritical [PERIOD]
victorious [AND] supportive [IMPLY] hilarious [PERIOD]
broad-minded [IMPLY] famous [PERIOD]
hypocritical [AND] hilarious [AND] aggressive [IMPLY] frantic [PERIOD]
shiny [IMPLY] unpleasant [PERIOD]
bored [IMPLY] broad-minded [PERIOD]
attractive [IMPLY] shiny [PERIOD]
courageous [AND] attractive [IMPLY] shiny [PERIOD]
fancy [IMPLY] courageous [PERIOD]
frantic [AND] confident [IMPLY] combative [PERIOD]
victorious [IMPLY] hilarious [PERIOD]
condemned [AND] aggressive [IMPLY] alert [PERIOD]
anxious [AND] attractive [AND] combative [IMPLY] uptight [PERIOD]
frantic [AND] anxious [AND] famous [IMPLY] courageous [PERIOD]
mean [AND] broad-minded [IMPLY] confident [PERIOD]
selfish [AND] dull [IMPLY] supportive [PERIOD]
attractive [IMPLY] mean [PERIOD]
uptight [IMPLY] unpleasant [PERIOD]
victorious [IMPLY] unpleasant [PERIOD]
serious [AND] bright [IMPLY] weary [PERIOD]
frantic [IMPLY] weary [PERIOD]
unpleasant [IMPLY] fearless [PERIOD]
selfish [AND] hilarious [IMPLY] serious [PERIOD]
famous [AND] talented [AND] fancy [IMPLY] mean [PERIOD]
fearless [AND] hilarious [AND] selfish [IMPLY] condemned [PERIOD]
fancy [AND] weary [AND] serious [IMPLY] attractive [PERIOD]
combative [IMPLY] supportive [PERIOD]
bored [AND] mean [IMPLY] selfish [PERIOD]
shiny [AND] victorious [AND] confident [IMPLY] famous [PERIOD]
fancy [AND] anxious [AND] dull [IMPLY] aggressive [PERIOD]
frantic [IMPLY] unpleasant [PERIOD]
fancy [IMPLY] aggressive [PERIOD]
dull [AND] combative [IMPLY] broad-minded [PERIOD]
unpleasant [AND] talented [IMPLY] serious [PERIOD]
uptight [IMPLY] serious [PERIOD]
courageous [IMPLY] famous [PERIOD]
bored [AND] attractive [AND] fancy [IMPLY] frantic [PERIOD]
famous [AND] hypocritical [IMPLY] supportive [PERIOD]
aggressive [AND] supportive [AND] anxious [IMPLY] hilarious [PERIOD]
shiny [AND] bright [IMPLY] alert [PERIOD]
aggressive [AND] hypocritical [AND] dull [IMPLY] confident [PERIOD]
talented [AND] fancy [IMPLY] alert [PERIOD]
alert [AND] bored [IMPLY] victorious [PERIOD]
aggressive [AND] confident [IMPLY] mean [PERIOD]
broad-minded [IMPLY] victorious [PERIOD]
frantic [IMPLY] hilarious [PERIOD]
talented [IMPLY] bored [PERIOD]
fearless [AND] hilarious [IMPLY] bored [PERIOD]
famous [IMPLY] combative [PERIOD]
unpleasant [IMPLY] alert [PERIOD]
bored [IMPLY] fancy [PERIOD]
victorious [AND] mean [AND] selfish [IMPLY] supportive [PERIOD]
mean [AND] supportive [AND] courageous [IMPLY] combative [PERIOD]
combative [AND] aggressive [IMPLY] shiny [PERIOD]
talented [IMPLY] selfish [PERIOD]
attractive [AND] bright [IMPLY] combative [PERIOD]
shiny [AND] anxious [AND] alert [IMPLY] mean [PERIOD]
talented [AND] famous [AND] hypocritical [IMPLY] victorious [PERIOD]
hilarious [IMPLY] shiny [PERIOD]
serious [IMPLY] selfish [PERIOD]
fancy [AND] courageous [IMPLY] unpleasant [PERIOD]
condemned [AND] famous [IMPLY] combative [PERIOD]
aggressive [AND] confident [IMPLY] condemned [PERIOD]
selfish [IMPLY] dull [PERIOD]
dull [IMPLY] victorious [PERIOD]
alert [AND] unpleasant [IMPLY] selfish [PERIOD]
uptight [IMPLY] condemned [PERIOD]
fancy [AND] broad-minded [IMPLY] famous [PERIOD]
alert [IMPLY] bright [PERIOD]
alert [AND] unpleasant [IMPLY] supportive [PERIOD]
fearless [AND] uptight [IMPLY] serious [PERIOD]
supportive [AND] attractive [AND] mean [IMPLY] bright [PERIOD]
shiny [IMPLY] fearless [PERIOD]
mean [AND] fancy [AND] combative [IMPLY] unpleasant [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   Cannot apply rule “confident ⇒ hilarious” because missing: confident.
   Cannot apply rule “bright ∧ condemned ⇒ hilarious” because missing: bright, condemned.
   Cannot apply rule “victorious ∧ supportive ⇒ hilarious” because missing: victorious, supportive.
   Cannot apply rule “victorious ⇒ hilarious” because missing: victorious.
   Cannot apply rule “aggressive ∧ supportive ∧ anxious ⇒ hilarious” because missing: supportive, anxious.
   Cannot apply rule “frantic ⇒ hilarious” because missing: frantic.
",0,6
"Facts:  Alice is worried [PERIOD] Alice is unpleasant [PERIOD] Alice is stupid [PERIOD] Alice is condemned [PERIOD]
Rules:
gorgeous [AND] worried [AND] condemned [IMPLY] popular [PERIOD]
stupid [IMPLY] worried [PERIOD]
popular [AND] gorgeous [AND] condemned [IMPLY] worried [PERIOD]
worried [IMPLY] stupid [PERIOD]
unpleasant [AND] stupid [IMPLY] popular [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is helpful [PERIOD] Alice is outstanding [PERIOD] Alice is troubled [PERIOD] Alice is busy [PERIOD] Alice is pleasant [PERIOD] Alice is tired [PERIOD] Alice is wrong [PERIOD] Alice is modern [PERIOD] Alice is bossy [PERIOD] Alice is bad-tempered [PERIOD] Alice is enchanting [PERIOD] Alice is plain [PERIOD] Alice is broad-minded [PERIOD] Alice is charming [PERIOD] Alice is hypocritical [PERIOD] Alice is excited [PERIOD]
Rules:
excited [AND] pleasant [AND] troubled [IMPLY] bossy [PERIOD]
modern [AND] tired [IMPLY] wrong [PERIOD]
troubled [AND] long [AND] bossy [IMPLY] disgusted [PERIOD]
calm [AND] wrong [AND] broad-minded [IMPLY] bad-tempered [PERIOD]
pleasant [IMPLY] broad-minded [PERIOD]
excited [IMPLY] supportive [PERIOD]
average [AND] outstanding [IMPLY] pleasant [PERIOD]
broad-minded [AND] stormy [IMPLY] wrong [PERIOD]
modern [AND] outstanding [IMPLY] plain [PERIOD]
calm [IMPLY] plain [PERIOD]
enchanting [AND] pleasant [IMPLY] calm [PERIOD]
modern [AND] good [IMPLY] helpful [PERIOD]
tired [AND] excited [AND] bossy [IMPLY] distinct [PERIOD]
excited [AND] bossy [IMPLY] supportive [PERIOD]
tired [AND] pleasant [AND] helpful [IMPLY] average [PERIOD]
distinct [AND] average [IMPLY] long [PERIOD]
foolish [AND] calm [IMPLY] wrong [PERIOD]
average [AND] charming [IMPLY] enchanting [PERIOD]
modern [AND] helpful [IMPLY] enchanting [PERIOD]
bad-tempered [IMPLY] broad-minded [PERIOD]
troubled [AND] supportive [AND] charming [IMPLY] modern [PERIOD]
busy [AND] outstanding [AND] charming [IMPLY] broad-minded [PERIOD]
long [AND] pleasant [IMPLY] tired [PERIOD]
enchanting [IMPLY] bad-tempered [PERIOD]
helpful [AND] outstanding [IMPLY] average [PERIOD]
distinct [IMPLY] disgusted [PERIOD]
pleasant [AND] bad-tempered [AND] gifted [IMPLY] excited [PERIOD]
stormy [IMPLY] bad-tempered [PERIOD]
helpful [AND] foolish [IMPLY] stormy [PERIOD]
long [AND] pleasant [IMPLY] wrong [PERIOD]
busy [AND] long [IMPLY] broad-minded [PERIOD]
foolish [IMPLY] bad-tempered [PERIOD]
wrong [AND] supportive [IMPLY] bossy [PERIOD]
outstanding [AND] modern [AND] bad-tempered [IMPLY] foolish [PERIOD]
pleasant [AND] average [IMPLY] supportive [PERIOD]
long [AND] bossy [AND] calm [IMPLY] broad-minded [PERIOD]
disgusted [AND] outstanding [AND] modern [IMPLY] busy [PERIOD]
hypocritical [IMPLY] good [PERIOD]
supportive [AND] foolish [AND] outstanding [IMPLY] bossy [PERIOD]
calm [AND] charming [IMPLY] foolish [PERIOD]
pleasant [AND] supportive [IMPLY] tired [PERIOD]
hypocritical [AND] enchanting [IMPLY] troubled [PERIOD]
long [AND] outstanding [IMPLY] bad-tempered [PERIOD]
calm [AND] troubled [AND] long [IMPLY] bad-tempered [PERIOD]
bossy [IMPLY] distinct [PERIOD]
wrong [IMPLY] bad-tempered [PERIOD]
outstanding [IMPLY] busy [PERIOD]
broad-minded [AND] troubled [IMPLY] modern [PERIOD]
distinct [IMPLY] charming [PERIOD]
plain [AND] calm [IMPLY] broad-minded [PERIOD]
bossy [IMPLY] wrong [PERIOD]
troubled [IMPLY] enchanting [PERIOD]
disgusted [AND] broad-minded [AND] troubled [IMPLY] pleasant [PERIOD]
hypocritical [IMPLY] foolish [PERIOD]
tired [IMPLY] wrong [PERIOD]
broad-minded [IMPLY] supportive [PERIOD]
stormy [AND] enchanting [AND] calm [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] enchanting [PERIOD]
broad-minded [AND] plain [IMPLY] charming [PERIOD]
troubled [AND] good [IMPLY] outstanding [PERIOD]
average [AND] wrong [IMPLY] stormy [PERIOD]
plain [AND] helpful [IMPLY] excited [PERIOD]
long [AND] distinct [AND] modern [IMPLY] bad-tempered [PERIOD]
plain [AND] hypocritical [IMPLY] gifted [PERIOD]
bad-tempered [AND] helpful [IMPLY] busy [PERIOD]
stormy [AND] distinct [AND] busy [IMPLY] enchanting [PERIOD]
busy [AND] foolish [AND] bad-tempered [IMPLY] gifted [PERIOD]
long [AND] good [AND] tired [IMPLY] bad-tempered [PERIOD]
average [AND] troubled [AND] wrong [IMPLY] broad-minded [PERIOD]
bossy [AND] stormy [AND] tired [IMPLY] gifted [PERIOD]
troubled [AND] tired [IMPLY] broad-minded [PERIOD]
distinct [IMPLY] good [PERIOD]
long [AND] excited [AND] distinct [IMPLY] busy [PERIOD]
supportive [AND] foolish [IMPLY] busy [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
elated [AND] disgusted [AND] impartial [IMPLY] messy [PERIOD]
light [AND] mysterious [IMPLY] homely [PERIOD]
thoughtful [IMPLY] elated [PERIOD]
impartial [AND] pleasant [IMPLY] mysterious [PERIOD]
selfish [IMPLY] thoughtful [PERIOD]
selfish [AND] thoughtful [IMPLY] loving [PERIOD]
light [AND] selfish [AND] thoughtless [IMPLY] worrisome [PERIOD]
thoughtful [IMPLY] jittery [PERIOD]
fragile [AND] selfish [AND] homely [IMPLY] worrisome [PERIOD]
gleaming [AND] selfish [AND] worrisome [IMPLY] jittery [PERIOD]
elated [IMPLY] jittery [PERIOD]
disgusted [AND] mysterious [IMPLY] thoughtful [PERIOD]
mysterious [IMPLY] old-fashioned [PERIOD]
loving [IMPLY] old-fashioned [PERIOD]
loving [IMPLY] wrong [PERIOD]
old-fashioned [AND] worrisome [AND] loving [IMPLY] jittery [PERIOD]
thoughtful [IMPLY] homely [PERIOD]
homely [IMPLY] elated [PERIOD]
anxious [AND] loving [AND] light [IMPLY] gleaming [PERIOD]
thoughtful [AND] elated [AND] pleasant [IMPLY] anxious [PERIOD]
disgusted [AND] elated [AND] homely [IMPLY] selfish [PERIOD]
disgusted [IMPLY] straightforward [PERIOD]
impartial [AND] thoughtless [IMPLY] homely [PERIOD]
mysterious [AND] pleasant [IMPLY] thoughtful [PERIOD]
impartial [IMPLY] light [PERIOD]
jittery [AND] messy [IMPLY] homely [PERIOD]
loving [AND] worrisome [AND] wrong [IMPLY] anxious [PERIOD]
jittery [AND] pleasant [IMPLY] old-fashioned [PERIOD]
gleaming [AND] loving [IMPLY] anxious [PERIOD]
loving [IMPLY] thoughtful [PERIOD]
straightforward [IMPLY] homely [PERIOD]
jittery [AND] gleaming [AND] impartial [IMPLY] straightforward [PERIOD]
disgusted [AND] old-fashioned [IMPLY] mysterious [PERIOD]
pleasant [AND] light [AND] gleaming [IMPLY] impartial [PERIOD]
wrong [IMPLY] fragile [PERIOD]
messy [IMPLY] disgusted [PERIOD]
thoughtless [AND] thoughtful [AND] worrisome [IMPLY] messy [PERIOD]
selfish [IMPLY] anxious [PERIOD]
thoughtful [AND] old-fashioned [IMPLY] calm [PERIOD]
impartial [AND] mysterious [IMPLY] homely [PERIOD]
selfish [AND] pleasant [IMPLY] calm [PERIOD]
thoughtless [AND] pleasant [IMPLY] messy [PERIOD]
thoughtful [AND] wrong [AND] anxious [IMPLY] loving [PERIOD]
old-fashioned [AND] disgusted [IMPLY] loving [PERIOD]
anxious [AND] pleasant [IMPLY] old-fashioned [PERIOD]
selfish [IMPLY] calm [PERIOD]
mysterious [AND] worrisome [AND] old-fashioned [IMPLY] impartial [PERIOD]
disgusted [IMPLY] elated [PERIOD]
thoughtless [AND] loving [IMPLY] gleaming [PERIOD]
messy [AND] thoughtless [IMPLY] homely [PERIOD]
wrong [AND] pleasant [IMPLY] mysterious [PERIOD]
homely [IMPLY] mysterious [PERIOD]
fragile [IMPLY] loving [PERIOD]
wrong [AND] disgusted [AND] light [IMPLY] worrisome [PERIOD]
gleaming [AND] pleasant [IMPLY] light [PERIOD]
loving [AND] mysterious [AND] anxious [IMPLY] old-fashioned [PERIOD]
jittery [AND] anxious [AND] fragile [IMPLY] elated [PERIOD]
loving [AND] worrisome [AND] anxious [IMPLY] elated [PERIOD]
fragile [IMPLY] thoughtful [PERIOD]
calm [AND] anxious [IMPLY] old-fashioned [PERIOD]
elated [IMPLY] disgusted [PERIOD]
messy [IMPLY] anxious [PERIOD]
thoughtful [AND] mysterious [IMPLY] worrisome [PERIOD]
calm [IMPLY] selfish [PERIOD]
wrong [AND] pleasant [IMPLY] elated [PERIOD]
gleaming [IMPLY] pleasant [PERIOD]
worrisome [IMPLY] gleaming [PERIOD]
loving [AND] worrisome [AND] selfish [IMPLY] impartial [PERIOD]
selfish [IMPLY] worrisome [PERIOD]
calm [IMPLY] homely [PERIOD]
straightforward [AND] jittery [IMPLY] worrisome [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   Cannot apply rule “light ∧ selfish ∧ thoughtless ⇒ worrisome” because missing: light, selfish, thoughtless.
   Cannot apply rule “fragile ∧ selfish ∧ homely ⇒ worrisome” because missing: fragile, selfish, homely.
   Cannot apply rule “wrong ∧ disgusted ∧ light ⇒ worrisome” because missing: wrong, disgusted, light.
   Cannot apply rule “thoughtful ∧ mysterious ⇒ worrisome” because missing: thoughtful, mysterious.
   Cannot apply rule “selfish ⇒ worrisome” because missing: selfish.
   Cannot apply rule “straightforward ∧ jittery ⇒ worrisome” because missing: straightforward, jittery.
",0,6
"Facts:  Alice is shy [PERIOD] Alice is tired [PERIOD] Alice is dull [PERIOD] Alice is stupid [PERIOD] Alice is precious [PERIOD] Alice is easy [PERIOD] Alice is hypocritical [PERIOD] Alice is alert [PERIOD] Alice is witty [PERIOD] Alice is aggressive [PERIOD] Alice is rational [PERIOD] Alice is vivacious [PERIOD] Alice is glamorous [PERIOD] Alice is bossy [PERIOD] Alice is cute [PERIOD] Alice is frantic [PERIOD] Alice is cruel [PERIOD] Alice is worried [PERIOD] Alice is elegant [PERIOD] Alice is confused [PERIOD] Alice is exuberant [PERIOD] Alice is tame [PERIOD] Alice is polite [PERIOD]
Rules:
shy [AND] careless [IMPLY] vivacious [PERIOD]
messy [AND] elegant [IMPLY] careless [PERIOD]
tired [IMPLY] confused [PERIOD]
easy [IMPLY] worried [PERIOD]
tame [AND] glamorous [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] alert [AND] tame [IMPLY] glamorous [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is dull [PERIOD] Alice is calm [PERIOD] Alice is tired [PERIOD] Alice is witty [PERIOD] Alice is disgusted [PERIOD] Alice is exuberant [PERIOD] Alice is outrageous [PERIOD] Alice is sleepy [PERIOD] Alice is inexpensive [PERIOD] Alice is courageous [PERIOD]
Rules:
loving [IMPLY] calm [PERIOD]
exuberant [AND] tired [AND] combative [IMPLY] witty [PERIOD]
confused [AND] straightforward [AND] disgusted [IMPLY] courageous [PERIOD]
exuberant [AND] witty [IMPLY] tense [PERIOD]
exuberant [IMPLY] confused [PERIOD]
confused [AND] fragile [AND] courageous [IMPLY] easy [PERIOD]
inexpensive [AND] loving [AND] confused [IMPLY] courageous [PERIOD]
disgusted [IMPLY] spotless [PERIOD]
inexpensive [IMPLY] easy [PERIOD]
outrageous [AND] sleepy [AND] courageous [IMPLY] easy [PERIOD]
outrageous [AND] exuberant [IMPLY] homely [PERIOD]
homely [AND] dull [IMPLY] outrageous [PERIOD]
inexpensive [AND] fragile [AND] spotless [IMPLY] courageous [PERIOD]
disgusted [AND] tired [IMPLY] spotless [PERIOD]
tired [AND] easy [AND] disgusted [IMPLY] homely [PERIOD]
sleepy [AND] combative [AND] easy [IMPLY] fragile [PERIOD]
sleepy [IMPLY] outrageous [PERIOD]
courageous [AND] spotless [IMPLY] sleepy [PERIOD]
disgusted [AND] witty [AND] tense [IMPLY] loving [PERIOD]
outrageous [AND] dull [IMPLY] tired [PERIOD]
disgusted [AND] confused [AND] witty [IMPLY] sleepy [PERIOD]
calm [AND] fragile [IMPLY] exuberant [PERIOD]
outrageous [IMPLY] dull [PERIOD]
spotless [AND] easy [IMPLY] outrageous [PERIOD]
courageous [AND] sleepy [IMPLY] witty [PERIOD]
exuberant [AND] combative [IMPLY] tired [PERIOD]
tired [AND] easy [IMPLY] tense [PERIOD]
loving [IMPLY] sleepy [PERIOD]
outrageous [IMPLY] loving [PERIOD]
witty [IMPLY] homely [PERIOD]
combative [IMPLY] loving [PERIOD]
tense [AND] spotless [IMPLY] confused [PERIOD]
easy [AND] tense [AND] homely [IMPLY] tired [PERIOD]
fragile [AND] inexpensive [AND] confused [IMPLY] disgusted [PERIOD]
dull [AND] tense [AND] disgusted [IMPLY] fragile [PERIOD]
spotless [AND] witty [AND] sleepy [IMPLY] calm [PERIOD]
calm [AND] homely [AND] fragile [IMPLY] inexpensive [PERIOD]
loving [IMPLY] disgusted [PERIOD]
straightforward [AND] sleepy [AND] tense [IMPLY] easy [PERIOD]
calm [IMPLY] courageous [PERIOD]
courageous [AND] confused [AND] spotless [IMPLY] easy [PERIOD]
tense [AND] confused [IMPLY] disgusted [PERIOD]
tired [AND] tense [AND] sleepy [IMPLY] inexpensive [PERIOD]
easy [AND] combative [AND] straightforward [IMPLY] sleepy [PERIOD]
disgusted [AND] homely [AND] loving [IMPLY] fragile [PERIOD]
confused [IMPLY] homely [PERIOD]
combative [AND] loving [AND] sleepy [IMPLY] fragile [PERIOD]
fragile [AND] tense [IMPLY] loving [PERIOD]
Query: Alice is disgusted [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is frightened [PERIOD] Alice is glamorous [PERIOD] Alice is agreeable [PERIOD] Alice is pessimistic [PERIOD] Alice is thoughtless [PERIOD] Alice is foolish [PERIOD] Alice is silly [PERIOD] Alice is tame [PERIOD]
Rules:
agreeable [AND] glamorous [IMPLY] naughty [PERIOD]
agreeable [AND] pessimistic [IMPLY] naughty [PERIOD]
naughty [AND] foolish [IMPLY] excited [PERIOD]
diplomatic [AND] frightened [AND] silly [IMPLY] pessimistic [PERIOD]
famous [IMPLY] fine [PERIOD]
attractive [AND] diplomatic [AND] famous [IMPLY] pessimistic [PERIOD]
horrible [AND] diplomatic [AND] excited [IMPLY] outstanding [PERIOD]
excited [AND] aggressive [AND] horrible [IMPLY] attractive [PERIOD]
pessimistic [AND] foolish [IMPLY] inquisitive [PERIOD]
thoughtless [AND] outstanding [AND] cooperative [IMPLY] diplomatic [PERIOD]
tame [IMPLY] naughty [PERIOD]
tame [IMPLY] dull [PERIOD]
cooperative [IMPLY] horrible [PERIOD]
famous [AND] dull [IMPLY] selfish [PERIOD]
hilarious [IMPLY] outstanding [PERIOD]
selfish [AND] silly [AND] dull [IMPLY] glamorous [PERIOD]
silly [IMPLY] selfish [PERIOD]
frightened [IMPLY] cooperative [PERIOD]
thoughtless [AND] fine [AND] foolish [IMPLY] embarrassed [PERIOD]
cooperative [AND] horrible [IMPLY] pessimistic [PERIOD]
horrible [AND] perfect [AND] tame [IMPLY] silly [PERIOD]
foolish [AND] agreeable [IMPLY] silly [PERIOD]
tidy [AND] frightened [AND] horrible [IMPLY] dull [PERIOD]
embarrassed [IMPLY] fine [PERIOD]
naughty [AND] hilarious [IMPLY] aggressive [PERIOD]
fine [AND] glamorous [IMPLY] silly [PERIOD]
horrible [IMPLY] tame [PERIOD]
outstanding [AND] fine [AND] selfish [IMPLY] hilarious [PERIOD]
tidy [IMPLY] glamorous [PERIOD]
horrible [IMPLY] dull [PERIOD]
horrible [AND] foolish [AND] cooperative [IMPLY] outstanding [PERIOD]
perfect [AND] famous [IMPLY] fine [PERIOD]
diplomatic [IMPLY] outstanding [PERIOD]
famous [IMPLY] dull [PERIOD]
hilarious [AND] outstanding [IMPLY] naughty [PERIOD]
foolish [AND] fine [AND] glamorous [IMPLY] tame [PERIOD]
inquisitive [IMPLY] hilarious [PERIOD]
dull [AND] foolish [IMPLY] selfish [PERIOD]
thoughtless [IMPLY] hilarious [PERIOD]
glamorous [AND] diplomatic [AND] hilarious [IMPLY] pessimistic [PERIOD]
selfish [AND] silly [AND] naughty [IMPLY] tame [PERIOD]
selfish [AND] dull [AND] perfect [IMPLY] horrible [PERIOD]
selfish [AND] pessimistic [IMPLY] foolish [PERIOD]
attractive [IMPLY] frightened [PERIOD]
outstanding [IMPLY] inquisitive [PERIOD]
dull [AND] horrible [IMPLY] perfect [PERIOD]
naughty [AND] attractive [IMPLY] agreeable [PERIOD]
embarrassed [AND] tame [AND] agreeable [IMPLY] hilarious [PERIOD]
silly [AND] dull [IMPLY] diplomatic [PERIOD]
glamorous [AND] cooperative [AND] tidy [IMPLY] aggressive [PERIOD]
excited [IMPLY] frightened [PERIOD]
fine [IMPLY] perfect [PERIOD]
dull [IMPLY] pessimistic [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   Cannot apply rule “famous ⇒ fine” because missing: famous.
   Cannot apply rule “embarrassed ⇒ fine” because missing: embarrassed.
   tame ⇒ dull
   frightened ⇒ cooperative
   cooperative ⇒ horrible
   dull ∧ horrible ⇒ perfect
   Cannot apply rule “perfect ∧ famous ⇒ fine” because missing: famous.
",0,7
"Facts:  Alice is hilarious [PERIOD] Alice is nervous [PERIOD] Alice is tense [PERIOD] Alice is impatient [PERIOD] Alice is rational [PERIOD] Alice is homely [PERIOD] Alice is vivacious [PERIOD]
Rules:
distinct [AND] clumsy [AND] fearless [IMPLY] friendly [PERIOD]
thoughtless [AND] rude [AND] fearless [IMPLY] tense [PERIOD]
tense [IMPLY] clumsy [PERIOD]
tender [IMPLY] homely [PERIOD]
impartial [AND] dishonest [AND] nervous [IMPLY] easy [PERIOD]
friendly [IMPLY] careless [PERIOD]
fearless [AND] nervous [IMPLY] distinct [PERIOD]
homely [IMPLY] vivacious [PERIOD]
cooperative [AND] impartial [AND] good [IMPLY] easy [PERIOD]
good [AND] selfish [AND] hilarious [IMPLY] dishonest [PERIOD]
impatient [IMPLY] vivacious [PERIOD]
friendly [AND] rude [AND] attractive [IMPLY] rational [PERIOD]
impartial [AND] homely [IMPLY] hilarious [PERIOD]
friendly [AND] fearless [AND] tense [IMPLY] dishonest [PERIOD]
careless [AND] thoughtless [AND] tense [IMPLY] attractive [PERIOD]
rude [AND] anxious [IMPLY] dishonest [PERIOD]
easy [AND] tender [AND] cooperative [IMPLY] impartial [PERIOD]
cooperative [AND] hilarious [AND] dishonest [IMPLY] impartial [PERIOD]
friendly [IMPLY] rational [PERIOD]
clumsy [IMPLY] good [PERIOD]
careless [AND] enchanting [AND] confused [IMPLY] thoughtless [PERIOD]
shy [AND] nervous [IMPLY] cruel [PERIOD]
dishonest [AND] enchanting [AND] shy [IMPLY] rational [PERIOD]
dishonest [AND] selfish [AND] good [IMPLY] anxious [PERIOD]
hilarious [AND] homely [AND] careless [IMPLY] impatient [PERIOD]
cooperative [AND] tender [AND] easy [IMPLY] impatient [PERIOD]
cruel [IMPLY] anxious [PERIOD]
thoughtless [AND] homely [AND] clumsy [IMPLY] good [PERIOD]
distinct [AND] hilarious [AND] confused [IMPLY] selfish [PERIOD]
fearless [IMPLY] shy [PERIOD]
rational [IMPLY] cruel [PERIOD]
vivacious [AND] tender [AND] anxious [IMPLY] clumsy [PERIOD]
good [AND] clumsy [IMPLY] anxious [PERIOD]
friendly [IMPLY] thoughtless [PERIOD]
friendly [AND] rational [AND] hilarious [IMPLY] tense [PERIOD]
dishonest [AND] tender [IMPLY] confused [PERIOD]
vivacious [AND] dishonest [IMPLY] shy [PERIOD]
dishonest [IMPLY] cruel [PERIOD]
impartial [AND] attractive [IMPLY] fearless [PERIOD]
nervous [AND] selfish [AND] enchanting [IMPLY] homely [PERIOD]
distinct [IMPLY] thoughtless [PERIOD]
rational [IMPLY] confused [PERIOD]
tender [AND] tense [IMPLY] clumsy [PERIOD]
nervous [IMPLY] anxious [PERIOD]
easy [AND] dishonest [IMPLY] nervous [PERIOD]
clumsy [AND] tense [AND] attractive [IMPLY] rational [PERIOD]
attractive [IMPLY] thoughtless [PERIOD]
confused [AND] tender [AND] shy [IMPLY] careless [PERIOD]
enchanting [IMPLY] good [PERIOD]
homely [IMPLY] friendly [PERIOD]
cooperative [IMPLY] confused [PERIOD]
clumsy [AND] tense [IMPLY] rational [PERIOD]
enchanting [IMPLY] rational [PERIOD]
impatient [AND] rational [AND] tender [IMPLY] thoughtless [PERIOD]
tense [IMPLY] confused [PERIOD]
cruel [AND] dishonest [IMPLY] cooperative [PERIOD]
homely [AND] thoughtless [IMPLY] friendly [PERIOD]
vivacious [AND] distinct [AND] clumsy [IMPLY] rude [PERIOD]
confused [IMPLY] rude [PERIOD]
selfish [AND] vivacious [AND] rude [IMPLY] nervous [PERIOD]
good [IMPLY] selfish [PERIOD]
impartial [AND] rational [IMPLY] shy [PERIOD]
cooperative [AND] hilarious [AND] fearless [IMPLY] tense [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   rational ⇒ cruel
   rational ⇒ confused
   confused ⇒ rude
   nervous ⇒ anxious
   rude ∧ anxious ⇒ dishonest
   cruel ∧ dishonest ⇒ cooperative
",1,6
"Facts:  Alice is busy [PERIOD] Alice is ambitious [PERIOD] Alice is lucky [PERIOD] Alice is thoughtless [PERIOD] Alice is light [PERIOD] Alice is talkative [PERIOD] Alice is different [PERIOD] Alice is naughty [PERIOD] Alice is broad-minded [PERIOD] Alice is blushing [PERIOD] Alice is lonely [PERIOD] Alice is crowded [PERIOD] Alice is clumsy [PERIOD] Alice is proud [PERIOD] Alice is rude [PERIOD] Alice is aggressive [PERIOD] Alice is diplomatic [PERIOD] Alice is muddy [PERIOD] Alice is plain [PERIOD]
Rules:
glamorous [IMPLY] hurt [PERIOD]
busy [AND] lonely [AND] wrong [IMPLY] hurt [PERIOD]
stormy [AND] thoughtless [IMPLY] glamorous [PERIOD]
amused [IMPLY] rude [PERIOD]
lonely [AND] different [IMPLY] diplomatic [PERIOD]
clumsy [AND] plain [AND] blushing [IMPLY] muddy [PERIOD]
light [AND] ambitious [IMPLY] strange [PERIOD]
clumsy [AND] thoughtless [IMPLY] lucky [PERIOD]
clumsy [AND] busy [AND] thoughtless [IMPLY] naughty [PERIOD]
busy [IMPLY] talkative [PERIOD]
light [IMPLY] diplomatic [PERIOD]
thoughtless [AND] naughty [AND] light [IMPLY] diplomatic [PERIOD]
ambitious [IMPLY] muddy [PERIOD]
broad-minded [IMPLY] thoughtless [PERIOD]
lucky [AND] blushing [IMPLY] clumsy [PERIOD]
proud [AND] wrong [AND] broad-minded [IMPLY] busy [PERIOD]
plain [AND] crowded [AND] glamorous [IMPLY] diplomatic [PERIOD]
talkative [AND] blushing [IMPLY] proud [PERIOD]
naughty [AND] blushing [AND] broad-minded [IMPLY] muddy [PERIOD]
diplomatic [AND] different [IMPLY] crowded [PERIOD]
lonely [AND] aggressive [AND] hurt [IMPLY] glamorous [PERIOD]
wrong [AND] lonely [AND] diplomatic [IMPLY] broad-minded [PERIOD]
aggressive [IMPLY] plain [PERIOD]
different [IMPLY] ambitious [PERIOD]
proud [IMPLY] light [PERIOD]
amused [AND] glamorous [IMPLY] thoughtless [PERIOD]
lucky [AND] diplomatic [AND] crowded [IMPLY] clumsy [PERIOD]
aggressive [AND] broad-minded [IMPLY] muddy [PERIOD]
glamorous [AND] clumsy [AND] talkative [IMPLY] hurt [PERIOD]
amused [AND] broad-minded [AND] rude [IMPLY] stormy [PERIOD]
rude [AND] muddy [AND] hurt [IMPLY] stormy [PERIOD]
rude [AND] crowded [IMPLY] diplomatic [PERIOD]
confident [AND] glamorous [AND] busy [IMPLY] diplomatic [PERIOD]
hurt [AND] different [IMPLY] naughty [PERIOD]
lonely [AND] glamorous [IMPLY] lucky [PERIOD]
wrong [AND] hurt [AND] diplomatic [IMPLY] stormy [PERIOD]
proud [AND] broad-minded [IMPLY] aggressive [PERIOD]
rude [AND] light [AND] diplomatic [IMPLY] glamorous [PERIOD]
busy [AND] broad-minded [IMPLY] plain [PERIOD]
clumsy [IMPLY] amused [PERIOD]
different [AND] crowded [IMPLY] ambitious [PERIOD]
wrong [AND] different [AND] hurt [IMPLY] diplomatic [PERIOD]
ambitious [AND] broad-minded [IMPLY] diplomatic [PERIOD]
plain [AND] broad-minded [AND] rude [IMPLY] muddy [PERIOD]
talkative [IMPLY] confident [PERIOD]
thoughtless [AND] plain [IMPLY] amused [PERIOD]
crowded [IMPLY] ambitious [PERIOD]
confident [AND] amused [AND] hurt [IMPLY] stormy [PERIOD]
stormy [AND] strange [IMPLY] amused [PERIOD]
proud [AND] lonely [IMPLY] broad-minded [PERIOD]
plain [AND] strange [IMPLY] rude [PERIOD]
talkative [AND] hurt [IMPLY] confident [PERIOD]
lonely [AND] broad-minded [IMPLY] clumsy [PERIOD]
hurt [IMPLY] glamorous [PERIOD]
different [AND] amused [IMPLY] muddy [PERIOD]
lonely [IMPLY] blushing [PERIOD]
busy [AND] muddy [IMPLY] naughty [PERIOD]
plain [IMPLY] crowded [PERIOD]
light [AND] diplomatic [IMPLY] naughty [PERIOD]
clumsy [AND] wrong [IMPLY] muddy [PERIOD]
stormy [AND] lucky [AND] rude [IMPLY] muddy [PERIOD]
lucky [IMPLY] diplomatic [PERIOD]
wrong [IMPLY] thoughtless [PERIOD]
confident [AND] crowded [IMPLY] blushing [PERIOD]
glamorous [AND] ambitious [AND] strange [IMPLY] thoughtless [PERIOD]
talkative [AND] naughty [IMPLY] stormy [PERIOD]
plain [AND] stormy [IMPLY] lonely [PERIOD]
crowded [IMPLY] amused [PERIOD]
thoughtless [AND] lonely [AND] light [IMPLY] wrong [PERIOD]
glamorous [IMPLY] clumsy [PERIOD]
busy [AND] talkative [AND] glamorous [IMPLY] muddy [PERIOD]
hurt [AND] plain [IMPLY] lucky [PERIOD]
different [AND] diplomatic [AND] amused [IMPLY] talkative [PERIOD]
aggressive [AND] clumsy [AND] wrong [IMPLY] rude [PERIOD]
stormy [AND] talkative [AND] thoughtless [IMPLY] aggressive [PERIOD]
lonely [AND] strange [IMPLY] muddy [PERIOD]
rude [AND] different [IMPLY] glamorous [PERIOD]
diplomatic [AND] glamorous [IMPLY] different [PERIOD]
busy [AND] muddy [IMPLY] lucky [PERIOD]
stormy [AND] different [AND] muddy [IMPLY] blushing [PERIOD]
confident [IMPLY] muddy [PERIOD]
thoughtless [IMPLY] ambitious [PERIOD]
rude [AND] strange [IMPLY] diplomatic [PERIOD]
aggressive [AND] hurt [IMPLY] ambitious [PERIOD]
light [IMPLY] naughty [PERIOD]
confident [AND] stormy [AND] amused [IMPLY] busy [PERIOD]
rude [AND] hurt [AND] confident [IMPLY] lonely [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   thoughtless ∧ lonely ∧ light ⇒ wrong
",1,1
"Facts:  Alice is quaint [PERIOD]
Rules:
disgusted [IMPLY] easy [PERIOD]
quaint [IMPLY] nervous [PERIOD]
disgusted [AND] ugly [IMPLY] average [PERIOD]
quaint [AND] polite [AND] ambitious [IMPLY] nervous [PERIOD]
ugly [AND] ambitious [IMPLY] nervous [PERIOD]
nervous [AND] ugly [IMPLY] disgusted [PERIOD]
easy [AND] quaint [IMPLY] polite [PERIOD]
quaint [AND] polite [IMPLY] ugly [PERIOD]
quaint [IMPLY] easy [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   quaint ⇒ easy
   easy ∧ quaint ⇒ polite
",1,2
"Facts:  Alice is frail [PERIOD] Alice is mysterious [PERIOD]
Rules:
vivacious [IMPLY] wrong [PERIOD]
jittery [AND] wrong [IMPLY] vivacious [PERIOD]
jittery [AND] intellectual [IMPLY] vivacious [PERIOD]
polite [AND] jittery [IMPLY] friendly [PERIOD]
wrong [AND] combative [AND] mysterious [IMPLY] silly [PERIOD]
tired [AND] jittery [AND] exuberant [IMPLY] wandering [PERIOD]
light [IMPLY] frail [PERIOD]
vivacious [AND] jittery [IMPLY] impartial [PERIOD]
wrong [AND] tender [AND] modern [IMPLY] bossy [PERIOD]
wrong [AND] jittery [IMPLY] sensible [PERIOD]
vivacious [IMPLY] impartial [PERIOD]
sensible [IMPLY] confused [PERIOD]
impartial [AND] jittery [AND] sincere [IMPLY] smart [PERIOD]
sincere [AND] tender [IMPLY] intellectual [PERIOD]
impartial [AND] vivacious [IMPLY] pessimistic [PERIOD]
wandering [IMPLY] hurt [PERIOD]
tired [IMPLY] exuberant [PERIOD]
polite [AND] intellectual [IMPLY] mean [PERIOD]
intellectual [AND] jittery [AND] hurt [IMPLY] tender [PERIOD]
shy [AND] tender [AND] light [IMPLY] wandering [PERIOD]
mysterious [AND] hurt [AND] bossy [IMPLY] shy [PERIOD]
mean [AND] polite [AND] wandering [IMPLY] modern [PERIOD]
polite [AND] vivacious [IMPLY] intellectual [PERIOD]
shy [AND] frail [AND] wrong [IMPLY] bossy [PERIOD]
mean [AND] smart [IMPLY] confused [PERIOD]
intellectual [IMPLY] shy [PERIOD]
intellectual [AND] frail [IMPLY] tired [PERIOD]
tender [AND] wandering [AND] hurt [IMPLY] jittery [PERIOD]
easy [AND] wandering [IMPLY] silly [PERIOD]
mean [AND] hurt [IMPLY] tender [PERIOD]
sincere [AND] confused [AND] polite [IMPLY] combative [PERIOD]
tired [AND] silly [AND] hurt [IMPLY] easy [PERIOD]
polite [AND] friendly [IMPLY] light [PERIOD]
jittery [AND] smart [IMPLY] light [PERIOD]
intellectual [AND] mysterious [AND] confused [IMPLY] easy [PERIOD]
wrong [IMPLY] confused [PERIOD]
jittery [IMPLY] vivacious [PERIOD]
frail [IMPLY] wrong [PERIOD]
tired [IMPLY] wrong [PERIOD]
light [IMPLY] smart [PERIOD]
light [IMPLY] pessimistic [PERIOD]
polite [AND] easy [IMPLY] light [PERIOD]
tender [AND] impartial [AND] modern [IMPLY] jittery [PERIOD]
sensible [AND] frail [AND] shy [IMPLY] easy [PERIOD]
hurt [AND] silly [IMPLY] polite [PERIOD]
modern [AND] impartial [AND] friendly [IMPLY] light [PERIOD]
friendly [AND] sincere [IMPLY] polite [PERIOD]
tired [AND] bossy [IMPLY] exuberant [PERIOD]
vivacious [AND] silly [IMPLY] combative [PERIOD]
wrong [AND] friendly [IMPLY] tired [PERIOD]
easy [AND] wandering [IMPLY] bossy [PERIOD]
sensible [IMPLY] frail [PERIOD]
smart [AND] tired [AND] tender [IMPLY] sincere [PERIOD]
shy [AND] exuberant [AND] polite [IMPLY] mean [PERIOD]
pessimistic [AND] hurt [AND] confused [IMPLY] bossy [PERIOD]
impartial [IMPLY] frail [PERIOD]
smart [IMPLY] wandering [PERIOD]
sincere [AND] sensible [IMPLY] wrong [PERIOD]
intellectual [IMPLY] vivacious [PERIOD]
exuberant [AND] light [IMPLY] mean [PERIOD]
mean [AND] hurt [AND] wandering [IMPLY] sincere [PERIOD]
wandering [AND] mean [AND] jittery [IMPLY] impartial [PERIOD]
sincere [AND] intellectual [AND] light [IMPLY] combative [PERIOD]
smart [AND] combative [IMPLY] sensible [PERIOD]
tender [IMPLY] combative [PERIOD]
modern [IMPLY] sensible [PERIOD]
mean [IMPLY] bossy [PERIOD]
frail [IMPLY] wandering [PERIOD]
sincere [AND] intellectual [IMPLY] modern [PERIOD]
sincere [IMPLY] hurt [PERIOD]
silly [AND] wandering [AND] confused [IMPLY] intellectual [PERIOD]
combative [AND] hurt [AND] bossy [IMPLY] confused [PERIOD]
pessimistic [IMPLY] wandering [PERIOD]
jittery [AND] sensible [AND] tired [IMPLY] impartial [PERIOD]
pessimistic [AND] wandering [IMPLY] tired [PERIOD]
confused [AND] shy [AND] sincere [IMPLY] combative [PERIOD]
silly [AND] mysterious [IMPLY] mean [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   Cannot apply rule “polite ∧ friendly ⇒ light” because missing: polite, friendly.
   Cannot apply rule “jittery ∧ smart ⇒ light” because missing: jittery, smart.
   Cannot apply rule “polite ∧ easy ⇒ light” because missing: polite, easy.
   Cannot apply rule “modern ∧ impartial ∧ friendly ⇒ light” because missing: modern, impartial, friendly.
",0,4
"Facts:  Alice is pleasant [PERIOD]
Rules:
agreeable [AND] quaint [AND] spotless [IMPLY] condemned [PERIOD]
distinct [IMPLY] dull [PERIOD]
curious [IMPLY] condemned [PERIOD]
ugliest [IMPLY] courageous [PERIOD]
innocent [AND] agreeable [IMPLY] muddy [PERIOD]
reserved [AND] curious [AND] quaint [IMPLY] broad-minded [PERIOD]
intellectual [IMPLY] fine [PERIOD]
broad-minded [IMPLY] spotless [PERIOD]
diplomatic [AND] innocent [AND] distinct [IMPLY] worried [PERIOD]
enchanting [IMPLY] condemned [PERIOD]
ugliest [IMPLY] different [PERIOD]
different [AND] agreeable [AND] courageous [IMPLY] innocent [PERIOD]
comfortable [AND] hilarious [AND] diplomatic [IMPLY] serious [PERIOD]
quaint [AND] dull [IMPLY] curious [PERIOD]
pleasant [IMPLY] distinct [PERIOD]
intellectual [AND] dull [IMPLY] tame [PERIOD]
dull [AND] agreeable [AND] exuberant [IMPLY] innocent [PERIOD]
courageous [AND] reserved [AND] quaint [IMPLY] different [PERIOD]
serious [IMPLY] courageous [PERIOD]
condemned [AND] hilarious [IMPLY] rational [PERIOD]
comfortable [AND] nervous [AND] tame [IMPLY] courageous [PERIOD]
comfortable [AND] broad-minded [IMPLY] agreeable [PERIOD]
different [AND] fine [AND] comfortable [IMPLY] broad-minded [PERIOD]
different [AND] pleasant [IMPLY] distinct [PERIOD]
elated [IMPLY] hilarious [PERIOD]
spotless [AND] hilarious [AND] comfortable [IMPLY] worried [PERIOD]
enchanting [IMPLY] reserved [PERIOD]
quaint [AND] exuberant [IMPLY] enchanting [PERIOD]
pleasant [IMPLY] spotless [PERIOD]
hilarious [AND] diplomatic [AND] exuberant [IMPLY] muddy [PERIOD]
curious [AND] courageous [IMPLY] reserved [PERIOD]
ugliest [AND] nervous [AND] different [IMPLY] courageous [PERIOD]
muddy [IMPLY] ugliest [PERIOD]
enchanting [IMPLY] serious [PERIOD]
innocent [AND] intellectual [AND] diplomatic [IMPLY] serious [PERIOD]
rational [AND] worried [IMPLY] innocent [PERIOD]
agreeable [AND] fine [AND] tame [IMPLY] courageous [PERIOD]
reserved [AND] quaint [IMPLY] different [PERIOD]
hilarious [AND] different [AND] courageous [IMPLY] broad-minded [PERIOD]
ugliest [IMPLY] agreeable [PERIOD]
different [AND] curious [AND] courageous [IMPLY] elated [PERIOD]
quaint [AND] condemned [IMPLY] worried [PERIOD]
courageous [AND] broad-minded [IMPLY] muddy [PERIOD]
distinct [IMPLY] outrageous [PERIOD]
innocent [AND] spotless [IMPLY] nervous [PERIOD]
innocent [AND] tame [AND] distinct [IMPLY] condemned [PERIOD]
innocent [IMPLY] broad-minded [PERIOD]
curious [AND] hilarious [IMPLY] broad-minded [PERIOD]
outrageous [AND] dull [IMPLY] serious [PERIOD]
spotless [IMPLY] curious [PERIOD]
hilarious [IMPLY] rational [PERIOD]
exuberant [AND] ugliest [IMPLY] quaint [PERIOD]
pleasant [IMPLY] different [PERIOD]
spotless [AND] enchanting [IMPLY] courageous [PERIOD]
nervous [AND] courageous [IMPLY] agreeable [PERIOD]
elated [AND] comfortable [AND] condemned [IMPLY] reserved [PERIOD]
spotless [AND] agreeable [IMPLY] hilarious [PERIOD]
pleasant [IMPLY] diplomatic [PERIOD]
serious [AND] exuberant [IMPLY] elated [PERIOD]
quaint [AND] tame [AND] diplomatic [IMPLY] rational [PERIOD]
broad-minded [AND] pleasant [IMPLY] enchanting [PERIOD]
outrageous [AND] nervous [IMPLY] tame [PERIOD]
curious [AND] different [IMPLY] hilarious [PERIOD]
condemned [AND] broad-minded [AND] rational [IMPLY] distinct [PERIOD]
diplomatic [IMPLY] enchanting [PERIOD]
tame [AND] distinct [IMPLY] pleasant [PERIOD]
courageous [AND] dull [IMPLY] ugliest [PERIOD]
distinct [IMPLY] innocent [PERIOD]
hilarious [AND] serious [IMPLY] spotless [PERIOD]
pleasant [IMPLY] reserved [PERIOD]
courageous [AND] hilarious [IMPLY] spotless [PERIOD]
innocent [IMPLY] outrageous [PERIOD]
diplomatic [AND] outrageous [AND] comfortable [IMPLY] tame [PERIOD]
elated [AND] serious [AND] pleasant [IMPLY] broad-minded [PERIOD]
nervous [AND] reserved [AND] agreeable [IMPLY] worried [PERIOD]
serious [IMPLY] muddy [PERIOD]
fine [AND] exuberant [IMPLY] distinct [PERIOD]
elated [AND] pleasant [IMPLY] innocent [PERIOD]
comfortable [AND] nervous [IMPLY] intellectual [PERIOD]
hilarious [AND] courageous [AND] serious [IMPLY] broad-minded [PERIOD]
quaint [IMPLY] nervous [PERIOD]
courageous [AND] enchanting [IMPLY] intellectual [PERIOD]
diplomatic [AND] hilarious [AND] reserved [IMPLY] nervous [PERIOD]
muddy [IMPLY] dull [PERIOD]
elated [AND] dull [AND] muddy [IMPLY] agreeable [PERIOD]
elated [IMPLY] serious [PERIOD]
spotless [AND] condemned [AND] rational [IMPLY] agreeable [PERIOD]
comfortable [AND] outrageous [AND] different [IMPLY] nervous [PERIOD]
diplomatic [AND] exuberant [AND] rational [IMPLY] enchanting [PERIOD]
serious [IMPLY] reserved [PERIOD]
elated [IMPLY] quaint [PERIOD]
diplomatic [AND] pleasant [AND] ugliest [IMPLY] hilarious [PERIOD]
diplomatic [AND] quaint [IMPLY] exuberant [PERIOD]
nervous [IMPLY] curious [PERIOD]
courageous [AND] outrageous [AND] hilarious [IMPLY] agreeable [PERIOD]
fine [AND] muddy [AND] distinct [IMPLY] outrageous [PERIOD]
pleasant [AND] curious [IMPLY] ugliest [PERIOD]
hilarious [AND] spotless [IMPLY] exuberant [PERIOD]
intellectual [AND] distinct [IMPLY] different [PERIOD]
distinct [AND] quaint [AND] curious [IMPLY] different [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   pleasant ⇒ spotless
   pleasant ⇒ diplomatic
   diplomatic ⇒ enchanting
   spotless ∧ enchanting ⇒ courageous
   pleasant ⇒ diplomatic
   diplomatic ⇒ enchanting
   courageous ∧ enchanting ⇒ intellectual
",1,7
"Facts:  Alice is stubborn [PERIOD] Alice is condemned [PERIOD] Alice is versatile [PERIOD] Alice is troubled [PERIOD] Alice is mean [PERIOD] Alice is hilarious [PERIOD] Alice is thoughtful [PERIOD] Alice is famous [PERIOD]
Rules:
mean [IMPLY] troubled [PERIOD]
troubled [IMPLY] innocent [PERIOD]
supportive [AND] straightforward [IMPLY] troubled [PERIOD]
cooperative [IMPLY] ugliest [PERIOD]
rational [IMPLY] mysterious [PERIOD]
versatile [AND] supportive [AND] mean [IMPLY] condemned [PERIOD]
mean [AND] stubborn [AND] innocent [IMPLY] famous [PERIOD]
wandering [AND] stubborn [AND] thoughtful [IMPLY] selfish [PERIOD]
thoughtful [AND] rational [AND] hilarious [IMPLY] cooperative [PERIOD]
stubborn [AND] selfish [IMPLY] versatile [PERIOD]
selfish [IMPLY] supportive [PERIOD]
inquisitive [IMPLY] joyous [PERIOD]
troubled [IMPLY] wandering [PERIOD]
famous [AND] stubborn [IMPLY] agreeable [PERIOD]
hilarious [IMPLY] stubborn [PERIOD]
troubled [AND] agreeable [AND] mysterious [IMPLY] thoughtful [PERIOD]
famous [AND] inquisitive [IMPLY] stubborn [PERIOD]
mysterious [IMPLY] famous [PERIOD]
troubled [AND] condemned [IMPLY] joyous [PERIOD]
stubborn [AND] innocent [AND] condemned [IMPLY] troubled [PERIOD]
mean [IMPLY] versatile [PERIOD]
innocent [IMPLY] hilarious [PERIOD]
agreeable [IMPLY] cooperative [PERIOD]
pleasant [IMPLY] thoughtful [PERIOD]
famous [IMPLY] straightforward [PERIOD]
mysterious [AND] cooperative [AND] troubled [IMPLY] inquisitive [PERIOD]
straightforward [AND] stubborn [IMPLY] mysterious [PERIOD]
selfish [AND] inquisitive [IMPLY] supportive [PERIOD]
supportive [AND] wandering [IMPLY] agreeable [PERIOD]
supportive [IMPLY] agreeable [PERIOD]
agreeable [AND] joyous [AND] inquisitive [IMPLY] rational [PERIOD]
mysterious [IMPLY] troubled [PERIOD]
stubborn [AND] agreeable [AND] rational [IMPLY] straightforward [PERIOD]
stubborn [IMPLY] thoughtful [PERIOD]
joyous [AND] ugliest [IMPLY] agreeable [PERIOD]
versatile [AND] supportive [IMPLY] ugliest [PERIOD]
mean [AND] ugliest [IMPLY] thoughtful [PERIOD]
thoughtful [AND] wandering [AND] famous [IMPLY] inquisitive [PERIOD]
thoughtful [IMPLY] wandering [PERIOD]
straightforward [AND] wandering [IMPLY] inquisitive [PERIOD]
hilarious [AND] innocent [IMPLY] cooperative [PERIOD]
versatile [AND] rational [IMPLY] straightforward [PERIOD]
stubborn [AND] innocent [AND] ugliest [IMPLY] hilarious [PERIOD]
ugliest [AND] condemned [AND] joyous [IMPLY] mysterious [PERIOD]
cooperative [AND] pleasant [AND] mean [IMPLY] thoughtful [PERIOD]
troubled [IMPLY] thoughtful [PERIOD]
innocent [IMPLY] inquisitive [PERIOD]
pleasant [AND] mysterious [IMPLY] mean [PERIOD]
innocent [IMPLY] rational [PERIOD]
hilarious [IMPLY] famous [PERIOD]
joyous [IMPLY] mean [PERIOD]
thoughtful [AND] ugliest [IMPLY] straightforward [PERIOD]
stubborn [AND] supportive [AND] cooperative [IMPLY] pleasant [PERIOD]
innocent [AND] condemned [AND] versatile [IMPLY] ugliest [PERIOD]
ugliest [AND] selfish [AND] joyous [IMPLY] agreeable [PERIOD]
joyous [AND] condemned [IMPLY] mean [PERIOD]
stubborn [AND] mean [AND] rational [IMPLY] troubled [PERIOD]
innocent [AND] troubled [IMPLY] condemned [PERIOD]
troubled [AND] condemned [AND] hilarious [IMPLY] ugliest [PERIOD]
mean [AND] versatile [AND] wandering [IMPLY] supportive [PERIOD]
innocent [AND] hilarious [AND] rational [IMPLY] inquisitive [PERIOD]
wandering [IMPLY] straightforward [PERIOD]
wandering [AND] famous [AND] ugliest [IMPLY] straightforward [PERIOD]
ugliest [IMPLY] joyous [PERIOD]
agreeable [AND] joyous [IMPLY] mysterious [PERIOD]
agreeable [IMPLY] mean [PERIOD]
ugliest [AND] wandering [AND] selfish [IMPLY] hilarious [PERIOD]
condemned [AND] thoughtful [AND] supportive [IMPLY] cooperative [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
   troubled ∧ condemned ⇒ joyous
",1,1
"Facts: 
Rules:
messy [IMPLY] friendly [PERIOD]
friendly [AND] bad-tempered [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] friendly [PERIOD]
messy [AND] friendly [AND] quaint [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] unpleasant [AND] quaint [IMPLY] friendly [PERIOD]
messy [AND] bad-tempered [IMPLY] friendly [PERIOD]
friendly [IMPLY] quaint [PERIOD]
messy [AND] unpleasant [IMPLY] bad-tempered [PERIOD]
friendly [AND] quaint [IMPLY] hilarious [PERIOD]
messy [AND] hilarious [IMPLY] bad-tempered [PERIOD]
friendly [IMPLY] hilarious [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   Cannot apply rule “messy ⇒ friendly” because missing: messy.
   Cannot apply rule “hilarious ⇒ friendly” because missing: hilarious.
   Cannot apply rule “bad-tempered ∧ unpleasant ∧ quaint ⇒ friendly” because missing: bad-tempered, unpleasant, quaint.
   Cannot apply rule “messy ∧ bad-tempered ⇒ friendly” because missing: messy, bad-tempered.
",0,4
"Facts:  Alice is serious [PERIOD] Alice is crowded [PERIOD]
Rules:
stupid [IMPLY] crowded [PERIOD]
stupid [AND] serious [AND] crowded [IMPLY] amused [PERIOD]
serious [AND] crowded [AND] wrong [IMPLY] amused [PERIOD]
serious [AND] stupid [IMPLY] crowded [PERIOD]
serious [IMPLY] wrong [PERIOD]
serious [AND] wrong [AND] stupid [IMPLY] crowded [PERIOD]
amused [AND] crowded [IMPLY] wrong [PERIOD]
amused [IMPLY] wrong [PERIOD]
wrong [IMPLY] amused [PERIOD]
amused [IMPLY] crowded [PERIOD]
crowded [IMPLY] serious [PERIOD]
wrong [IMPLY] serious [PERIOD]
wrong [IMPLY] crowded [PERIOD]
serious [AND] wrong [IMPLY] stupid [PERIOD]
crowded [AND] wrong [AND] amused [IMPLY] serious [PERIOD]
wrong [AND] crowded [IMPLY] stupid [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   serious ⇒ wrong
",1,1
"Facts: 
Rules:
spotless [AND] easy [AND] light [IMPLY] vivacious [PERIOD]
uptight [AND] old-fashioned [IMPLY] dull [PERIOD]
ambitious [IMPLY] enchanting [PERIOD]
ugly [AND] serious [AND] shiny [IMPLY] fine [PERIOD]
uptight [AND] precious [AND] vivacious [IMPLY] shiny [PERIOD]
talented [IMPLY] adorable [PERIOD]
vivacious [IMPLY] precious [PERIOD]
talented [AND] bad-tempered [IMPLY] horrible [PERIOD]
adorable [AND] courageous [IMPLY] talented [PERIOD]
confident [AND] anxious [AND] easy [IMPLY] disgusted [PERIOD]
talented [IMPLY] serious [PERIOD]
uptight [IMPLY] courageous [PERIOD]
vivacious [IMPLY] confused [PERIOD]
uptight [IMPLY] shiny [PERIOD]
sincere [AND] uptight [IMPLY] fine [PERIOD]
confused [IMPLY] shiny [PERIOD]
anxious [IMPLY] disgusted [PERIOD]
talented [AND] vivacious [IMPLY] uptight [PERIOD]
shiny [AND] tidy [IMPLY] ugly [PERIOD]
disgusted [AND] confident [AND] mean [IMPLY] ambitious [PERIOD]
easy [AND] tidy [IMPLY] precious [PERIOD]
vivacious [IMPLY] fine [PERIOD]
dull [AND] sincere [AND] talented [IMPLY] serious [PERIOD]
old-fashioned [AND] anxious [AND] confused [IMPLY] disgusted [PERIOD]
tidy [AND] dull [AND] talented [IMPLY] easy [PERIOD]
mean [AND] sincere [IMPLY] fine [PERIOD]
sincere [AND] uptight [AND] vivacious [IMPLY] spotless [PERIOD]
horrible [IMPLY] talented [PERIOD]
vivacious [AND] easy [IMPLY] courageous [PERIOD]
inexpensive [AND] bad-tempered [AND] talented [IMPLY] confused [PERIOD]
old-fashioned [AND] unpleasant [AND] serious [IMPLY] disgusted [PERIOD]
impatient [AND] courageous [AND] fine [IMPLY] dull [PERIOD]
fine [IMPLY] unpleasant [PERIOD]
light [IMPLY] fine [PERIOD]
courageous [AND] tidy [AND] enchanting [IMPLY] shiny [PERIOD]
ambitious [IMPLY] confident [PERIOD]
impatient [AND] bad-tempered [IMPLY] precious [PERIOD]
enchanting [IMPLY] sincere [PERIOD]
adorable [IMPLY] shiny [PERIOD]
adorable [IMPLY] easy [PERIOD]
inexpensive [AND] uptight [AND] confused [IMPLY] vivacious [PERIOD]
spotless [AND] horrible [IMPLY] bad-tempered [PERIOD]
uptight [AND] ambitious [AND] serious [IMPLY] precious [PERIOD]
confused [AND] precious [IMPLY] uptight [PERIOD]
impatient [IMPLY] mean [PERIOD]
courageous [AND] unpleasant [IMPLY] bad-tempered [PERIOD]
enchanting [AND] anxious [AND] courageous [IMPLY] impatient [PERIOD]
bad-tempered [AND] dull [AND] uptight [IMPLY] confident [PERIOD]
tidy [IMPLY] confused [PERIOD]
precious [IMPLY] old-fashioned [PERIOD]
adorable [IMPLY] dull [PERIOD]
ugly [AND] unpleasant [AND] inexpensive [IMPLY] anxious [PERIOD]
uptight [AND] inexpensive [IMPLY] shiny [PERIOD]
enchanting [IMPLY] tidy [PERIOD]
dull [AND] fine [AND] shiny [IMPLY] confused [PERIOD]
mean [AND] precious [AND] fine [IMPLY] dull [PERIOD]
anxious [AND] courageous [AND] impatient [IMPLY] dull [PERIOD]
sincere [AND] horrible [IMPLY] confident [PERIOD]
tidy [AND] uptight [AND] sincere [IMPLY] inexpensive [PERIOD]
talented [AND] unpleasant [IMPLY] easy [PERIOD]
sincere [IMPLY] horrible [PERIOD]
courageous [IMPLY] bad-tempered [PERIOD]
Query: Alice is dull [PERIOD]","Proof chain:
   Cannot apply rule “uptight ∧ old-fashioned ⇒ dull” because missing: uptight, old-fashioned.
   Cannot apply rule “impatient ∧ courageous ∧ fine ⇒ dull” because missing: impatient, courageous, fine.
   Cannot apply rule “adorable ⇒ dull” because missing: adorable.
   Cannot apply rule “mean ∧ precious ∧ fine ⇒ dull” because missing: mean, precious, fine.
   Cannot apply rule “anxious ∧ courageous ∧ impatient ⇒ dull” because missing: anxious, courageous, impatient.
",0,5
"Facts: 
Rules:
elegant [IMPLY] stubborn [PERIOD]
frail [AND] inquisitive [IMPLY] long [PERIOD]
strange [IMPLY] attractive [PERIOD]
long [AND] wrong [IMPLY] stubborn [PERIOD]
unpleasant [AND] exuberant [IMPLY] vivacious [PERIOD]
stubborn [AND] long [AND] unpleasant [IMPLY] elegant [PERIOD]
exuberant [AND] long [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] attractive [PERIOD]
strange [AND] inquisitive [AND] unpleasant [IMPLY] vivacious [PERIOD]
gleaming [AND] stubborn [AND] unpleasant [IMPLY] exuberant [PERIOD]
elegant [AND] foolish [IMPLY] frail [PERIOD]
foolish [AND] attractive [AND] long [IMPLY] gleaming [PERIOD]
gleaming [IMPLY] strange [PERIOD]
frail [AND] vivacious [IMPLY] inquisitive [PERIOD]
wrong [IMPLY] exuberant [PERIOD]
frail [IMPLY] attractive [PERIOD]
stubborn [AND] long [IMPLY] foolish [PERIOD]
wrong [AND] unpleasant [AND] vivacious [IMPLY] long [PERIOD]
elegant [AND] foolish [IMPLY] unpleasant [PERIOD]
gleaming [AND] wrong [IMPLY] unpleasant [PERIOD]
gleaming [IMPLY] vivacious [PERIOD]
gleaming [AND] frail [AND] foolish [IMPLY] long [PERIOD]
strange [IMPLY] elegant [PERIOD]
attractive [AND] exuberant [AND] frail [IMPLY] strange [PERIOD]
inquisitive [AND] unpleasant [AND] long [IMPLY] attractive [PERIOD]
gleaming [AND] stubborn [IMPLY] long [PERIOD]
foolish [AND] unpleasant [IMPLY] vivacious [PERIOD]
exuberant [AND] gleaming [IMPLY] long [PERIOD]
attractive [AND] foolish [AND] wrong [IMPLY] vivacious [PERIOD]
frail [IMPLY] long [PERIOD]
stubborn [IMPLY] foolish [PERIOD]
inquisitive [AND] stubborn [IMPLY] long [PERIOD]
stubborn [IMPLY] vivacious [PERIOD]
gleaming [AND] vivacious [IMPLY] frail [PERIOD]
long [IMPLY] exuberant [PERIOD]
gleaming [AND] wrong [IMPLY] attractive [PERIOD]
foolish [AND] exuberant [AND] wrong [IMPLY] attractive [PERIOD]
gleaming [AND] exuberant [IMPLY] wrong [PERIOD]
stubborn [AND] attractive [IMPLY] foolish [PERIOD]
foolish [IMPLY] exuberant [PERIOD]
vivacious [AND] wrong [AND] attractive [IMPLY] stubborn [PERIOD]
gleaming [AND] strange [AND] exuberant [IMPLY] wrong [PERIOD]
long [IMPLY] elegant [PERIOD]
frail [AND] strange [IMPLY] inquisitive [PERIOD]
gleaming [AND] exuberant [IMPLY] unpleasant [PERIOD]
gleaming [IMPLY] unpleasant [PERIOD]
stubborn [AND] inquisitive [AND] unpleasant [IMPLY] vivacious [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   Cannot apply rule “strange ⇒ attractive” because missing: strange.
   Cannot apply rule “stubborn ⇒ attractive” because missing: stubborn.
   Cannot apply rule “frail ⇒ attractive” because missing: frail.
   Cannot apply rule “inquisitive ∧ unpleasant ∧ long ⇒ attractive” because missing: inquisitive, unpleasant, long.
   Cannot apply rule “gleaming ∧ wrong ⇒ attractive” because missing: gleaming, wrong.
   Cannot apply rule “foolish ∧ exuberant ∧ wrong ⇒ attractive” because missing: foolish, exuberant, wrong.
",0,6
"Facts:  Alice is joyous [PERIOD] Alice is wide-eyed [PERIOD] Alice is ugly [PERIOD] Alice is exuberant [PERIOD] Alice is serious [PERIOD]
Rules:
tired [AND] joyous [IMPLY] wide-eyed [PERIOD]
exuberant [AND] mean [AND] tired [IMPLY] wide-eyed [PERIOD]
vivacious [AND] wide-eyed [IMPLY] serious [PERIOD]
ugly [AND] mysterious [AND] mean [IMPLY] elegant [PERIOD]
mysterious [AND] serious [AND] tame [IMPLY] tired [PERIOD]
tired [AND] mean [AND] tame [IMPLY] mysterious [PERIOD]
joyous [IMPLY] serious [PERIOD]
elegant [AND] tired [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] wide-eyed [PERIOD]
tired [AND] tame [IMPLY] exuberant [PERIOD]
joyous [IMPLY] elegant [PERIOD]
joyous [AND] serious [IMPLY] anxious [PERIOD]
anxious [AND] elegant [AND] joyous [IMPLY] loving [PERIOD]
tame [IMPLY] loving [PERIOD]
elegant [IMPLY] exuberant [PERIOD]
serious [AND] exuberant [AND] mean [IMPLY] friendly [PERIOD]
wide-eyed [AND] ugly [IMPLY] tame [PERIOD]
wide-eyed [IMPLY] friendly [PERIOD]
friendly [AND] ugly [AND] serious [IMPLY] tired [PERIOD]
vivacious [AND] exuberant [IMPLY] anxious [PERIOD]
exuberant [AND] joyous [AND] anxious [IMPLY] elegant [PERIOD]
serious [AND] vivacious [AND] tired [IMPLY] loving [PERIOD]
mean [AND] serious [AND] ugly [IMPLY] loving [PERIOD]
ugly [AND] elegant [AND] loving [IMPLY] tired [PERIOD]
serious [IMPLY] anxious [PERIOD]
mysterious [IMPLY] elegant [PERIOD]
anxious [AND] vivacious [IMPLY] ugly [PERIOD]
tame [AND] wide-eyed [AND] loving [IMPLY] vivacious [PERIOD]
mean [IMPLY] vivacious [PERIOD]
ugly [IMPLY] elegant [PERIOD]
loving [AND] friendly [AND] anxious [IMPLY] ugly [PERIOD]
exuberant [AND] friendly [AND] mysterious [IMPLY] ugly [PERIOD]
exuberant [AND] tame [IMPLY] tired [PERIOD]
tired [AND] anxious [AND] joyous [IMPLY] elegant [PERIOD]
elegant [AND] ugly [IMPLY] tame [PERIOD]
wide-eyed [IMPLY] anxious [PERIOD]
tired [AND] elegant [IMPLY] vivacious [PERIOD]
ugly [AND] wide-eyed [AND] elegant [IMPLY] friendly [PERIOD]
wide-eyed [AND] exuberant [IMPLY] vivacious [PERIOD]
tame [AND] elegant [IMPLY] exuberant [PERIOD]
exuberant [AND] mysterious [IMPLY] tired [PERIOD]
mean [AND] elegant [AND] joyous [IMPLY] mysterious [PERIOD]
ugly [AND] wide-eyed [IMPLY] serious [PERIOD]
vivacious [AND] exuberant [AND] ugly [IMPLY] anxious [PERIOD]
joyous [AND] loving [AND] vivacious [IMPLY] elegant [PERIOD]
elegant [AND] mysterious [IMPLY] joyous [PERIOD]
tame [IMPLY] tired [PERIOD]
tame [IMPLY] elegant [PERIOD]
joyous [AND] friendly [IMPLY] ugly [PERIOD]
mysterious [AND] vivacious [IMPLY] wide-eyed [PERIOD]
friendly [AND] ugly [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] anxious [PERIOD]
anxious [AND] mysterious [AND] tired [IMPLY] vivacious [PERIOD]
mean [AND] ugly [IMPLY] tame [PERIOD]
tired [AND] tame [AND] wide-eyed [IMPLY] anxious [PERIOD]
serious [IMPLY] loving [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   wide-eyed ⇒ friendly
   friendly ∧ ugly ∧ serious ⇒ tired
   wide-eyed ∧ ugly ⇒ tame
   Cannot apply rule “tired ∧ mean ∧ tame ⇒ mysterious” because missing: mean.
   joyous ⇒ elegant
   Cannot apply rule “mean ∧ elegant ∧ joyous ⇒ mysterious” because missing: mean.
",0,6
"Facts:  Alice is polite [PERIOD] Alice is stupid [PERIOD] Alice is wandering [PERIOD] Alice is ambitious [PERIOD]
Rules:
distinct [IMPLY] curious [PERIOD]
polite [AND] curious [IMPLY] elegant [PERIOD]
light [AND] distinct [AND] curious [IMPLY] loving [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   No rule concludes “distinct.”
",0,1
"Facts: 
Rules:
mean [IMPLY] fancy [PERIOD]
uptight [AND] embarrassed [IMPLY] mean [PERIOD]
thoughtless [AND] courageous [AND] fancy [IMPLY] beautiful [PERIOD]
fancy [AND] stupid [AND] gifted [IMPLY] vivacious [PERIOD]
anxious [AND] easy [IMPLY] beautiful [PERIOD]
careless [AND] uptight [AND] courageous [IMPLY] ugliest [PERIOD]
thoughtless [IMPLY] gifted [PERIOD]
foolish [IMPLY] thoughtful [PERIOD]
beautiful [AND] ugliest [IMPLY] fancy [PERIOD]
beautiful [AND] stupid [AND] uptight [IMPLY] thoughtful [PERIOD]
ugliest [AND] fancy [IMPLY] foolish [PERIOD]
vivacious [AND] anxious [IMPLY] gifted [PERIOD]
foolish [AND] mean [AND] easy [IMPLY] anxious [PERIOD]
helpless [AND] embarrassed [AND] thoughtless [IMPLY] vivacious [PERIOD]
stupid [IMPLY] foolish [PERIOD]
anxious [AND] thoughtful [IMPLY] gifted [PERIOD]
anxious [IMPLY] ugliest [PERIOD]
vivacious [AND] thoughtless [AND] thoughtful [IMPLY] fancy [PERIOD]
courageous [IMPLY] joyous [PERIOD]
foolish [AND] beautiful [AND] ugliest [IMPLY] joyous [PERIOD]
helpless [AND] joyous [AND] stupid [IMPLY] ugliest [PERIOD]
joyous [AND] careless [AND] gifted [IMPLY] beautiful [PERIOD]
gifted [IMPLY] careless [PERIOD]
ugliest [AND] easy [IMPLY] anxious [PERIOD]
uptight [AND] anxious [AND] mean [IMPLY] ugliest [PERIOD]
uptight [AND] beautiful [AND] courageous [IMPLY] fancy [PERIOD]
thoughtful [IMPLY] helpless [PERIOD]
beautiful [IMPLY] mean [PERIOD]
mean [AND] careless [IMPLY] vivacious [PERIOD]
foolish [AND] easy [AND] courageous [IMPLY] anxious [PERIOD]
vivacious [AND] beautiful [IMPLY] uptight [PERIOD]
beautiful [AND] thoughtful [IMPLY] joyous [PERIOD]
courageous [AND] fancy [AND] careless [IMPLY] uptight [PERIOD]
ugliest [AND] uptight [AND] vivacious [IMPLY] beautiful [PERIOD]
beautiful [AND] joyous [AND] helpless [IMPLY] uptight [PERIOD]
foolish [AND] helpless [AND] uptight [IMPLY] mean [PERIOD]
mean [AND] thoughtful [AND] easy [IMPLY] anxious [PERIOD]
helpless [AND] ugliest [AND] easy [IMPLY] beautiful [PERIOD]
vivacious [IMPLY] uptight [PERIOD]
embarrassed [IMPLY] anxious [PERIOD]
ugliest [AND] easy [IMPLY] uptight [PERIOD]
embarrassed [AND] helpless [AND] easy [IMPLY] foolish [PERIOD]
anxious [AND] easy [IMPLY] courageous [PERIOD]
stupid [IMPLY] thoughtful [PERIOD]
embarrassed [IMPLY] joyous [PERIOD]
ugliest [AND] anxious [IMPLY] easy [PERIOD]
beautiful [AND] vivacious [IMPLY] careless [PERIOD]
courageous [IMPLY] fancy [PERIOD]
careless [AND] vivacious [AND] foolish [IMPLY] gifted [PERIOD]
anxious [IMPLY] thoughtless [PERIOD]
gifted [AND] mean [IMPLY] helpless [PERIOD]
helpless [IMPLY] anxious [PERIOD]
thoughtful [IMPLY] thoughtless [PERIOD]
joyous [AND] courageous [IMPLY] vivacious [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   Cannot apply rule “foolish ∧ mean ∧ easy ⇒ anxious” because missing: foolish, mean, easy.
   Cannot apply rule “ugliest ∧ easy ⇒ anxious” because missing: ugliest, easy.
   Cannot apply rule “foolish ∧ easy ∧ courageous ⇒ anxious” because missing: foolish, easy, courageous.
   Cannot apply rule “mean ∧ thoughtful ∧ easy ⇒ anxious” because missing: mean, thoughtful, easy.
   Cannot apply rule “embarrassed ⇒ anxious” because missing: embarrassed.
   Cannot apply rule “helpless ⇒ anxious” because missing: helpless.
",0,6
"Facts:  Alice is attractive [PERIOD]
Rules:
fancy [AND] witty [IMPLY] gifted [PERIOD]
attractive [AND] horrible [IMPLY] straightforward [PERIOD]
witty [AND] crowded [IMPLY] gifted [PERIOD]
witty [AND] straightforward [IMPLY] hypocritical [PERIOD]
straightforward [IMPLY] horrible [PERIOD]
fancy [IMPLY] horrible [PERIOD]
cruel [AND] horrible [AND] gifted [IMPLY] attractive [PERIOD]
horrible [AND] crowded [IMPLY] gifted [PERIOD]
cruel [AND] fancy [IMPLY] witty [PERIOD]
gifted [AND] horrible [IMPLY] straightforward [PERIOD]
straightforward [AND] horrible [IMPLY] crowded [PERIOD]
straightforward [AND] hypocritical [AND] attractive [IMPLY] witty [PERIOD]
straightforward [AND] hypocritical [AND] witty [IMPLY] fancy [PERIOD]
fancy [AND] straightforward [IMPLY] crowded [PERIOD]
cruel [IMPLY] fancy [PERIOD]
hypocritical [AND] crowded [AND] straightforward [IMPLY] gifted [PERIOD]
fancy [AND] attractive [IMPLY] straightforward [PERIOD]
straightforward [AND] cruel [IMPLY] fancy [PERIOD]
attractive [IMPLY] hypocritical [PERIOD]
fancy [IMPLY] attractive [PERIOD]
straightforward [AND] horrible [IMPLY] cruel [PERIOD]
gifted [IMPLY] horrible [PERIOD]
fancy [AND] crowded [IMPLY] hypocritical [PERIOD]
straightforward [AND] hypocritical [AND] horrible [IMPLY] fancy [PERIOD]
straightforward [AND] attractive [IMPLY] fancy [PERIOD]
straightforward [AND] gifted [IMPLY] hypocritical [PERIOD]
attractive [AND] gifted [AND] horrible [IMPLY] crowded [PERIOD]
crowded [AND] straightforward [IMPLY] gifted [PERIOD]
hypocritical [IMPLY] crowded [PERIOD]
cruel [AND] attractive [IMPLY] gifted [PERIOD]
cruel [AND] crowded [AND] witty [IMPLY] hypocritical [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   attractive ⇒ hypocritical
   Cannot apply rule “straightforward ∧ hypocritical ∧ witty ⇒ fancy” because missing: straightforward, witty.
   Cannot apply rule “cruel ⇒ fancy” because missing: cruel.
   Cannot apply rule “straightforward ∧ cruel ⇒ fancy” because missing: straightforward, cruel.
   attractive ⇒ hypocritical
   Cannot apply rule “straightforward ∧ hypocritical ∧ horrible ⇒ fancy” because missing: straightforward, horrible.
   Cannot apply rule “straightforward ∧ attractive ⇒ fancy” because missing: straightforward.
",0,7
"Facts:  Alice is supportive [PERIOD] Alice is wrong [PERIOD]
Rules:
outrageous [IMPLY] curious [PERIOD]
outrageous [AND] victorious [IMPLY] wrong [PERIOD]
fragile [IMPLY] outrageous [PERIOD]
wrong [AND] victorious [IMPLY] curious [PERIOD]
victorious [AND] fragile [IMPLY] plain [PERIOD]
outrageous [AND] curious [IMPLY] fragile [PERIOD]
victorious [AND] curious [IMPLY] outrageous [PERIOD]
outrageous [AND] plain [AND] fragile [IMPLY] supportive [PERIOD]
fragile [IMPLY] victorious [PERIOD]
fragile [AND] wrong [AND] plain [IMPLY] curious [PERIOD]
wrong [AND] supportive [IMPLY] victorious [PERIOD]
curious [AND] wrong [IMPLY] plain [PERIOD]
supportive [AND] outrageous [AND] curious [IMPLY] plain [PERIOD]
outrageous [AND] victorious [AND] wrong [IMPLY] fragile [PERIOD]
plain [AND] wrong [IMPLY] supportive [PERIOD]
fragile [IMPLY] plain [PERIOD]
plain [AND] outrageous [IMPLY] fragile [PERIOD]
wrong [AND] plain [AND] outrageous [IMPLY] victorious [PERIOD]
curious [IMPLY] plain [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   wrong ∧ supportive ⇒ victorious
   wrong ∧ supportive ⇒ victorious
   wrong ∧ victorious ⇒ curious
   victorious ∧ curious ⇒ outrageous
   wrong ∧ supportive ⇒ victorious
   wrong ∧ victorious ⇒ curious
   outrageous ∧ curious ⇒ fragile
",1,7
"Facts:  Alice is hurt [PERIOD] Alice is muddy [PERIOD] Alice is confused [PERIOD]
Rules:
blushing [IMPLY] rational [PERIOD]
blushing [AND] hurt [AND] hypocritical [IMPLY] cooperative [PERIOD]
silly [AND] embarrassed [IMPLY] curious [PERIOD]
fragile [AND] muddy [AND] embarrassed [IMPLY] curious [PERIOD]
hypocritical [IMPLY] hurt [PERIOD]
dull [IMPLY] weary [PERIOD]
versatile [AND] naughty [AND] old-fashioned [IMPLY] dull [PERIOD]
impartial [AND] hypocritical [AND] blushing [IMPLY] old-fashioned [PERIOD]
distinct [AND] hypocritical [AND] curious [IMPLY] old-fashioned [PERIOD]
impartial [AND] different [AND] uptight [IMPLY] joyous [PERIOD]
joyous [AND] weary [AND] silly [IMPLY] fragile [PERIOD]
muddy [AND] polite [AND] versatile [IMPLY] fragile [PERIOD]
cooperative [IMPLY] blushing [PERIOD]
dishonest [AND] different [AND] hypocritical [IMPLY] impartial [PERIOD]
rational [AND] muddy [AND] curious [IMPLY] joyous [PERIOD]
joyous [IMPLY] impartial [PERIOD]
naughty [IMPLY] fragile [PERIOD]
versatile [IMPLY] weary [PERIOD]
joyous [AND] uptight [IMPLY] old-fashioned [PERIOD]
distinct [AND] weary [AND] loving [IMPLY] different [PERIOD]
dull [AND] weary [AND] old-fashioned [IMPLY] hurt [PERIOD]
different [AND] embarrassed [AND] polite [IMPLY] blushing [PERIOD]
uptight [AND] rational [IMPLY] silly [PERIOD]
joyous [IMPLY] rational [PERIOD]
hypocritical [AND] weary [AND] curious [IMPLY] dull [PERIOD]
dull [AND] uptight [AND] cute [IMPLY] curious [PERIOD]
dull [IMPLY] polite [PERIOD]
curious [AND] muddy [IMPLY] rational [PERIOD]
muddy [IMPLY] joyous [PERIOD]
hypocritical [IMPLY] cooperative [PERIOD]
cooperative [AND] cute [AND] distinct [IMPLY] hypocritical [PERIOD]
naughty [AND] hypocritical [AND] polite [IMPLY] hurt [PERIOD]
hypocritical [AND] distinct [IMPLY] dull [PERIOD]
rational [AND] dishonest [AND] polite [IMPLY] distinct [PERIOD]
versatile [AND] rational [IMPLY] dishonest [PERIOD]
curious [AND] hypocritical [IMPLY] mean [PERIOD]
mean [AND] uptight [IMPLY] impartial [PERIOD]
dull [AND] uptight [IMPLY] dishonest [PERIOD]
silly [IMPLY] polite [PERIOD]
fragile [AND] impartial [IMPLY] silly [PERIOD]
confused [AND] muddy [AND] dishonest [IMPLY] fragile [PERIOD]
polite [AND] dull [AND] muddy [IMPLY] blushing [PERIOD]
confused [IMPLY] fragile [PERIOD]
different [IMPLY] naughty [PERIOD]
different [IMPLY] blushing [PERIOD]
loving [IMPLY] rational [PERIOD]
rational [AND] confused [IMPLY] blushing [PERIOD]
impartial [AND] polite [IMPLY] loving [PERIOD]
joyous [IMPLY] confused [PERIOD]
fragile [IMPLY] joyous [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   muddy ⇒ joyous
   joyous ⇒ rational
   rational ∧ confused ⇒ blushing
   Cannot apply rule “blushing ∧ hurt ∧ hypocritical ⇒ cooperative” because missing: hypocritical.
   Cannot apply rule “hypocritical ⇒ cooperative” because missing: hypocritical.
",0,5
"Facts:  Alice is fancy [PERIOD] Alice is sensible [PERIOD]
Rules:
clumsy [AND] fancy [AND] uptight [IMPLY] crowded [PERIOD]
sensible [IMPLY] adorable [PERIOD]
proud [AND] adorable [IMPLY] bright [PERIOD]
outrageous [AND] sensible [IMPLY] inquisitive [PERIOD]
stubborn [AND] lucky [IMPLY] inquisitive [PERIOD]
jittery [AND] stubborn [AND] wrong [IMPLY] sensible [PERIOD]
sensible [IMPLY] bright [PERIOD]
sensible [AND] inquisitive [AND] fancy [IMPLY] average [PERIOD]
cooperative [IMPLY] fancy [PERIOD]
wrong [AND] anxious [AND] clumsy [IMPLY] uptight [PERIOD]
bright [AND] average [IMPLY] clumsy [PERIOD]
lucky [AND] stubborn [IMPLY] wrong [PERIOD]
fancy [AND] uptight [IMPLY] anxious [PERIOD]
lucky [AND] cooperative [AND] clumsy [IMPLY] stubborn [PERIOD]
outrageous [AND] crowded [AND] anxious [IMPLY] cooperative [PERIOD]
cooperative [AND] fancy [AND] adorable [IMPLY] stupid [PERIOD]
cooperative [IMPLY] wrong [PERIOD]
inquisitive [AND] proud [IMPLY] crowded [PERIOD]
cooperative [IMPLY] inquisitive [PERIOD]
cooperative [AND] crowded [AND] sensible [IMPLY] straightforward [PERIOD]
proud [IMPLY] wrong [PERIOD]
clumsy [IMPLY] outrageous [PERIOD]
clumsy [IMPLY] sensible [PERIOD]
crowded [IMPLY] fancy [PERIOD]
anxious [IMPLY] inquisitive [PERIOD]
fancy [AND] inquisitive [AND] stupid [IMPLY] stubborn [PERIOD]
cooperative [AND] sensible [IMPLY] adorable [PERIOD]
clumsy [AND] stubborn [AND] average [IMPLY] proud [PERIOD]
proud [AND] inquisitive [IMPLY] average [PERIOD]
bright [AND] clumsy [IMPLY] sensible [PERIOD]
wrong [IMPLY] fancy [PERIOD]
stubborn [AND] uptight [AND] stupid [IMPLY] adorable [PERIOD]
straightforward [AND] proud [AND] jittery [IMPLY] average [PERIOD]
crowded [IMPLY] stubborn [PERIOD]
outrageous [IMPLY] average [PERIOD]
anxious [IMPLY] adorable [PERIOD]
jittery [IMPLY] clumsy [PERIOD]
jittery [AND] inquisitive [AND] lucky [IMPLY] straightforward [PERIOD]
inquisitive [AND] stupid [IMPLY] fancy [PERIOD]
fancy [AND] outrageous [AND] proud [IMPLY] anxious [PERIOD]
bright [AND] fancy [AND] crowded [IMPLY] outrageous [PERIOD]
wrong [AND] uptight [IMPLY] proud [PERIOD]
anxious [AND] uptight [IMPLY] inquisitive [PERIOD]
cooperative [AND] clumsy [AND] outrageous [IMPLY] straightforward [PERIOD]
straightforward [AND] proud [AND] fancy [IMPLY] jittery [PERIOD]
inquisitive [AND] outrageous [IMPLY] bright [PERIOD]
fancy [AND] sensible [AND] jittery [IMPLY] wrong [PERIOD]
sensible [AND] stupid [AND] adorable [IMPLY] uptight [PERIOD]
anxious [AND] lucky [IMPLY] adorable [PERIOD]
inquisitive [AND] sensible [IMPLY] stubborn [PERIOD]
bright [AND] jittery [IMPLY] proud [PERIOD]
wrong [AND] lucky [AND] outrageous [IMPLY] anxious [PERIOD]
adorable [AND] stupid [AND] straightforward [IMPLY] bright [PERIOD]
stubborn [IMPLY] stupid [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   Cannot apply rule “cooperative ∧ crowded ∧ sensible ⇒ straightforward” because missing: cooperative, crowded.
   Cannot apply rule “jittery ∧ inquisitive ∧ lucky ⇒ straightforward” because missing: jittery, inquisitive, lucky.
   Cannot apply rule “cooperative ∧ clumsy ∧ outrageous ⇒ straightforward” because missing: cooperative, clumsy, outrageous.
",0,3
"Facts:  Alice is worrisome [PERIOD] Alice is amused [PERIOD] Alice is disobedient [PERIOD]
Rules:
disobedient [IMPLY] strange [PERIOD]
homely [AND] amused [AND] intellectual [IMPLY] cute [PERIOD]
impartial [IMPLY] unpleasant [PERIOD]
friendly [AND] cute [IMPLY] fine [PERIOD]
tidy [IMPLY] strange [PERIOD]
cute [AND] inexpensive [IMPLY] worrisome [PERIOD]
amused [IMPLY] shy [PERIOD]
shy [AND] broad-minded [AND] mean [IMPLY] fine [PERIOD]
shy [IMPLY] homely [PERIOD]
inexpensive [IMPLY] amused [PERIOD]
helpless [AND] troubled [IMPLY] thoughtful [PERIOD]
broad-minded [AND] fragile [IMPLY] unpleasant [PERIOD]
impartial [IMPLY] gorgeous [PERIOD]
unpleasant [IMPLY] fragile [PERIOD]
shy [AND] unpleasant [AND] attractive [IMPLY] fragile [PERIOD]
tidy [AND] inexpensive [IMPLY] thoughtful [PERIOD]
friendly [IMPLY] shy [PERIOD]
cruel [AND] hypocritical [AND] homely [IMPLY] mean [PERIOD]
friendly [AND] fragile [IMPLY] lucky [PERIOD]
tidy [AND] hilarious [AND] shy [IMPLY] fragile [PERIOD]
intellectual [AND] mean [AND] gorgeous [IMPLY] tidy [PERIOD]
attractive [AND] shy [AND] tidy [IMPLY] cute [PERIOD]
cute [IMPLY] amused [PERIOD]
fragile [AND] tidy [AND] muddy [IMPLY] cute [PERIOD]
troubled [AND] homely [AND] amused [IMPLY] fragile [PERIOD]
mean [AND] strange [AND] fragile [IMPLY] tidy [PERIOD]
gorgeous [AND] cruel [IMPLY] shy [PERIOD]
helpless [AND] intellectual [AND] gorgeous [IMPLY] fine [PERIOD]
troubled [AND] friendly [AND] hilarious [IMPLY] impartial [PERIOD]
attractive [AND] muddy [AND] troubled [IMPLY] friendly [PERIOD]
cute [AND] unpleasant [IMPLY] strange [PERIOD]
cute [AND] fragile [IMPLY] tidy [PERIOD]
hypocritical [AND] intellectual [IMPLY] homely [PERIOD]
thoughtful [AND] fragile [AND] gorgeous [IMPLY] troubled [PERIOD]
homely [AND] strange [AND] mean [IMPLY] unpleasant [PERIOD]
thoughtful [IMPLY] amused [PERIOD]
tidy [AND] gorgeous [IMPLY] intellectual [PERIOD]
impartial [IMPLY] hypocritical [PERIOD]
intellectual [AND] attractive [AND] amused [IMPLY] muddy [PERIOD]
tidy [AND] helpless [IMPLY] thoughtful [PERIOD]
attractive [IMPLY] fragile [PERIOD]
impartial [AND] strange [AND] mean [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] muddy [PERIOD]
hypocritical [IMPLY] mean [PERIOD]
amused [IMPLY] gorgeous [PERIOD]
homely [AND] shy [IMPLY] friendly [PERIOD]
fine [IMPLY] tidy [PERIOD]
tidy [IMPLY] broad-minded [PERIOD]
intellectual [IMPLY] thoughtful [PERIOD]
cute [AND] gorgeous [AND] mean [IMPLY] worrisome [PERIOD]
troubled [AND] lucky [AND] attractive [IMPLY] friendly [PERIOD]
impartial [AND] gorgeous [AND] mean [IMPLY] amused [PERIOD]
agreeable [IMPLY] cute [PERIOD]
cute [AND] homely [IMPLY] fragile [PERIOD]
fragile [AND] helpless [IMPLY] cute [PERIOD]
shy [AND] worrisome [AND] impartial [IMPLY] unpleasant [PERIOD]
friendly [IMPLY] muddy [PERIOD]
cute [AND] homely [IMPLY] broad-minded [PERIOD]
shy [AND] friendly [IMPLY] attractive [PERIOD]
intellectual [IMPLY] attractive [PERIOD]
cute [AND] fine [IMPLY] intellectual [PERIOD]
amused [AND] shy [AND] fragile [IMPLY] impartial [PERIOD]
cruel [IMPLY] friendly [PERIOD]
hilarious [AND] tidy [AND] intellectual [IMPLY] lucky [PERIOD]
lucky [AND] homely [AND] agreeable [IMPLY] intellectual [PERIOD]
muddy [AND] worrisome [IMPLY] impartial [PERIOD]
strange [IMPLY] intellectual [PERIOD]
thoughtful [AND] unpleasant [IMPLY] friendly [PERIOD]
fragile [AND] hilarious [AND] inexpensive [IMPLY] troubled [PERIOD]
hypocritical [AND] cruel [IMPLY] intellectual [PERIOD]
shy [AND] friendly [IMPLY] broad-minded [PERIOD]
friendly [IMPLY] strange [PERIOD]
friendly [AND] hilarious [AND] inexpensive [IMPLY] shy [PERIOD]
intellectual [IMPLY] hypocritical [PERIOD]
lucky [AND] intellectual [IMPLY] cruel [PERIOD]
muddy [IMPLY] disobedient [PERIOD]
cute [AND] troubled [AND] broad-minded [IMPLY] muddy [PERIOD]
muddy [AND] worrisome [IMPLY] amused [PERIOD]
disobedient [AND] gorgeous [AND] friendly [IMPLY] tidy [PERIOD]
gorgeous [AND] disobedient [IMPLY] cruel [PERIOD]
mean [IMPLY] hilarious [PERIOD]
lucky [IMPLY] tidy [PERIOD]
troubled [AND] thoughtful [AND] hypocritical [IMPLY] strange [PERIOD]
hilarious [IMPLY] amused [PERIOD]
amused [IMPLY] broad-minded [PERIOD]
fine [AND] unpleasant [IMPLY] hypocritical [PERIOD]
homely [IMPLY] cruel [PERIOD]
inexpensive [AND] attractive [IMPLY] gorgeous [PERIOD]
gorgeous [AND] intellectual [IMPLY] unpleasant [PERIOD]
muddy [IMPLY] attractive [PERIOD]
attractive [AND] thoughtful [IMPLY] cute [PERIOD]
mean [AND] worrisome [IMPLY] fine [PERIOD]
disobedient [AND] muddy [IMPLY] helpless [PERIOD]
attractive [AND] friendly [IMPLY] amused [PERIOD]
strange [AND] broad-minded [AND] hypocritical [IMPLY] helpless [PERIOD]
worrisome [AND] gorgeous [AND] muddy [IMPLY] thoughtful [PERIOD]
disobedient [AND] amused [IMPLY] tidy [PERIOD]
shy [IMPLY] fine [PERIOD]
fragile [AND] strange [IMPLY] attractive [PERIOD]
intellectual [AND] gorgeous [IMPLY] attractive [PERIOD]
impartial [AND] cruel [AND] thoughtful [IMPLY] strange [PERIOD]
agreeable [AND] gorgeous [IMPLY] friendly [PERIOD]
disobedient [AND] unpleasant [AND] hilarious [IMPLY] troubled [PERIOD]
helpless [AND] gorgeous [IMPLY] hilarious [PERIOD]
troubled [AND] muddy [IMPLY] shy [PERIOD]
broad-minded [AND] cute [AND] unpleasant [IMPLY] impartial [PERIOD]
impartial [IMPLY] helpless [PERIOD]
disobedient [AND] fragile [IMPLY] friendly [PERIOD]
mean [AND] homely [IMPLY] troubled [PERIOD]
disobedient [AND] muddy [IMPLY] worrisome [PERIOD]
troubled [AND] thoughtful [IMPLY] cute [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   amused ⇒ gorgeous
   disobedient ⇒ strange
   strange ⇒ intellectual
   gorgeous ∧ intellectual ⇒ unpleasant
",1,4
"Facts: 
Rules:
perfect [IMPLY] quaint [PERIOD]
quaint [IMPLY] hilarious [PERIOD]
loving [IMPLY] perfect [PERIOD]
quaint [IMPLY] distinct [PERIOD]
distinct [AND] inexpensive [AND] quaint [IMPLY] hilarious [PERIOD]
joyous [AND] courageous [AND] perfect [IMPLY] inexpensive [PERIOD]
quaint [IMPLY] charming [PERIOD]
reserved [IMPLY] inexpensive [PERIOD]
courageous [AND] charming [AND] distinct [IMPLY] inexpensive [PERIOD]
outrageous [IMPLY] perfect [PERIOD]
perfect [AND] friendly [AND] hilarious [IMPLY] strange [PERIOD]
strange [AND] perfect [AND] hilarious [IMPLY] charming [PERIOD]
reserved [AND] loving [IMPLY] quaint [PERIOD]
strange [AND] perfect [AND] joyous [IMPLY] inexpensive [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “loving ⇒ perfect” because missing: loving.
   Cannot apply rule “outrageous ⇒ perfect” because missing: outrageous.
",0,2
"Facts:  Alice is sincere [PERIOD] Alice is strange [PERIOD] Alice is straightforward [PERIOD] Alice is reserved [PERIOD] Alice is dull [PERIOD] Alice is loving [PERIOD] Alice is curious [PERIOD] Alice is victorious [PERIOD] Alice is difficult [PERIOD]
Rules:
victorious [AND] attentive [IMPLY] selfish [PERIOD]
dull [AND] reserved [IMPLY] sincere [PERIOD]
joyous [IMPLY] bored [PERIOD]
dull [IMPLY] attentive [PERIOD]
difficult [AND] reserved [IMPLY] perfect [PERIOD]
excited [AND] curious [AND] loving [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] curious [PERIOD]
reserved [AND] thoughtless [IMPLY] stormy [PERIOD]
victorious [IMPLY] difficult [PERIOD]
excited [IMPLY] straightforward [PERIOD]
difficult [AND] bright [IMPLY] sincere [PERIOD]
straightforward [IMPLY] stormy [PERIOD]
reserved [IMPLY] difficult [PERIOD]
curious [AND] stormy [AND] sincere [IMPLY] thoughtless [PERIOD]
loving [IMPLY] curious [PERIOD]
strange [AND] dull [IMPLY] reserved [PERIOD]
thoughtless [IMPLY] strange [PERIOD]
sincere [AND] perfect [AND] joyous [IMPLY] bored [PERIOD]
bright [AND] stormy [AND] bored [IMPLY] excited [PERIOD]
victorious [AND] bright [AND] bored [IMPLY] joyous [PERIOD]
perfect [IMPLY] victorious [PERIOD]
dull [AND] attentive [AND] strange [IMPLY] excited [PERIOD]
bright [IMPLY] loving [PERIOD]
stormy [IMPLY] reserved [PERIOD]
curious [AND] strange [AND] stormy [IMPLY] perfect [PERIOD]
Query: Alice is bored [PERIOD]","Proof chain:
   Cannot apply rule “joyous ⇒ bored” because missing: joyous.
   difficult ∧ reserved ⇒ perfect
   Cannot apply rule “sincere ∧ perfect ∧ joyous ⇒ bored” because missing: joyous.
",0,3
"Facts:  Alice is homely [PERIOD] Alice is fragile [PERIOD]
Rules:
cooperative [IMPLY] lucky [PERIOD]
horrible [IMPLY] gleaming [PERIOD]
glamorous [AND] comfortable [IMPLY] charming [PERIOD]
excited [IMPLY] homely [PERIOD]
serious [AND] ugliest [AND] fragile [IMPLY] excited [PERIOD]
charming [AND] excited [IMPLY] fragile [PERIOD]
cooperative [IMPLY] excited [PERIOD]
homely [AND] horrible [AND] comfortable [IMPLY] glamorous [PERIOD]
ugliest [IMPLY] gleaming [PERIOD]
fancy [AND] gleaming [AND] excited [IMPLY] horrible [PERIOD]
diplomatic [AND] inquisitive [IMPLY] serious [PERIOD]
glamorous [AND] serious [IMPLY] fancy [PERIOD]
diplomatic [IMPLY] gleaming [PERIOD]
cooperative [IMPLY] fragile [PERIOD]
gleaming [AND] fragile [AND] homely [IMPLY] lucky [PERIOD]
lucky [AND] ugliest [IMPLY] excited [PERIOD]
excited [AND] horrible [AND] fragile [IMPLY] ugliest [PERIOD]
serious [IMPLY] excited [PERIOD]
charming [AND] diplomatic [AND] homely [IMPLY] comfortable [PERIOD]
lucky [AND] charming [AND] cooperative [IMPLY] comfortable [PERIOD]
fancy [IMPLY] glamorous [PERIOD]
charming [AND] diplomatic [IMPLY] comfortable [PERIOD]
homely [AND] horrible [IMPLY] excited [PERIOD]
diplomatic [AND] homely [AND] fancy [IMPLY] comfortable [PERIOD]
serious [IMPLY] inquisitive [PERIOD]
ugliest [AND] serious [IMPLY] inquisitive [PERIOD]
glamorous [IMPLY] serious [PERIOD]
homely [AND] fancy [IMPLY] comfortable [PERIOD]
gleaming [AND] lucky [AND] cooperative [IMPLY] homely [PERIOD]
lucky [AND] excited [IMPLY] gleaming [PERIOD]
ugliest [IMPLY] cooperative [PERIOD]
charming [AND] fancy [AND] glamorous [IMPLY] horrible [PERIOD]
fragile [AND] glamorous [AND] horrible [IMPLY] inquisitive [PERIOD]
fancy [AND] fragile [IMPLY] gleaming [PERIOD]
lucky [AND] horrible [IMPLY] cooperative [PERIOD]
homely [AND] cooperative [IMPLY] inquisitive [PERIOD]
comfortable [AND] gleaming [AND] cooperative [IMPLY] lucky [PERIOD]
gleaming [AND] horrible [AND] glamorous [IMPLY] serious [PERIOD]
ugliest [AND] glamorous [IMPLY] horrible [PERIOD]
cooperative [AND] gleaming [AND] horrible [IMPLY] homely [PERIOD]
horrible [AND] cooperative [AND] charming [IMPLY] excited [PERIOD]
diplomatic [IMPLY] cooperative [PERIOD]
lucky [AND] excited [AND] homely [IMPLY] horrible [PERIOD]
Query: Alice is gleaming [PERIOD]","Proof chain:
   Cannot apply rule “horrible ⇒ gleaming” because missing: horrible.
   Cannot apply rule “ugliest ⇒ gleaming” because missing: ugliest.
   Cannot apply rule “diplomatic ⇒ gleaming” because missing: diplomatic.
   Cannot apply rule “lucky ∧ excited ⇒ gleaming” because missing: lucky, excited.
   Cannot apply rule “fancy ∧ fragile ⇒ gleaming” because missing: fancy.
",0,5
"Facts:  Alice is perfect [PERIOD] Alice is lucky [PERIOD] Alice is diplomatic [PERIOD] Alice is fearless [PERIOD] Alice is troubled [PERIOD]
Rules:
perfect [AND] troubled [AND] busy [IMPLY] fearless [PERIOD]
careless [AND] fearless [AND] diplomatic [IMPLY] troubled [PERIOD]
perfect [AND] diplomatic [AND] lucky [IMPLY] weary [PERIOD]
careless [IMPLY] diplomatic [PERIOD]
weary [AND] fearless [AND] careless [IMPLY] busy [PERIOD]
diplomatic [AND] thoughtful [IMPLY] weary [PERIOD]
weary [IMPLY] thoughtful [PERIOD]
diplomatic [IMPLY] thoughtful [PERIOD]
thoughtful [AND] troubled [AND] perfect [IMPLY] diplomatic [PERIOD]
busy [AND] fearless [AND] troubled [IMPLY] perfect [PERIOD]
busy [AND] troubled [IMPLY] thoughtful [PERIOD]
lucky [IMPLY] careless [PERIOD]
weary [IMPLY] busy [PERIOD]
perfect [AND] troubled [IMPLY] fearless [PERIOD]
thoughtful [IMPLY] busy [PERIOD]
thoughtful [IMPLY] lucky [PERIOD]
careless [AND] busy [AND] fearless [IMPLY] thoughtful [PERIOD]
lucky [IMPLY] weary [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   lucky ⇒ careless
",1,1
"Facts:  Alice is difficult [PERIOD] Alice is dishonest [PERIOD] Alice is helpful [PERIOD] Alice is comfortable [PERIOD] Alice is frantic [PERIOD]
Rules:
vivacious [AND] condemned [IMPLY] versatile [PERIOD]
condemned [AND] weary [AND] modern [IMPLY] cute [PERIOD]
sincere [AND] reserved [AND] exuberant [IMPLY] vivacious [PERIOD]
weary [AND] cooperative [IMPLY] helpful [PERIOD]
fearless [IMPLY] calm [PERIOD]
witty [AND] calm [AND] fearless [IMPLY] cooperative [PERIOD]
condemned [AND] cooperative [AND] frantic [IMPLY] difficult [PERIOD]
disgusted [IMPLY] helpful [PERIOD]
condemned [AND] witty [AND] rational [IMPLY] modern [PERIOD]
condemned [AND] sincere [AND] comfortable [IMPLY] exuberant [PERIOD]
homely [AND] versatile [IMPLY] cute [PERIOD]
difficult [AND] rational [AND] weary [IMPLY] condemned [PERIOD]
vivacious [AND] condemned [IMPLY] cooperative [PERIOD]
disgusted [AND] difficult [IMPLY] reserved [PERIOD]
rational [IMPLY] sincere [PERIOD]
versatile [AND] comfortable [IMPLY] weary [PERIOD]
fearless [AND] cute [IMPLY] cooperative [PERIOD]
agreeable [AND] homely [IMPLY] difficult [PERIOD]
enchanting [IMPLY] frantic [PERIOD]
modern [AND] cooperative [AND] comfortable [IMPLY] homely [PERIOD]
difficult [AND] agreeable [AND] vivacious [IMPLY] cute [PERIOD]
vivacious [IMPLY] disgusted [PERIOD]
enchanting [AND] disgusted [IMPLY] cute [PERIOD]
modern [IMPLY] calm [PERIOD]
homely [AND] calm [AND] fearless [IMPLY] reserved [PERIOD]
versatile [AND] cooperative [AND] calm [IMPLY] frantic [PERIOD]
cute [AND] weary [AND] frail [IMPLY] witty [PERIOD]
homely [IMPLY] witty [PERIOD]
homely [IMPLY] condemned [PERIOD]
modern [IMPLY] comfortable [PERIOD]
sincere [AND] cute [IMPLY] versatile [PERIOD]
rational [AND] reserved [IMPLY] helpful [PERIOD]
exuberant [IMPLY] condemned [PERIOD]
frail [AND] comfortable [IMPLY] exuberant [PERIOD]
disgusted [AND] condemned [IMPLY] helpful [PERIOD]
condemned [AND] comfortable [IMPLY] frail [PERIOD]
cute [AND] frantic [IMPLY] condemned [PERIOD]
frail [AND] dishonest [IMPLY] disgusted [PERIOD]
dishonest [AND] condemned [IMPLY] comfortable [PERIOD]
vivacious [AND] reserved [AND] frail [IMPLY] frantic [PERIOD]
frail [AND] homely [IMPLY] difficult [PERIOD]
comfortable [IMPLY] homely [PERIOD]
reserved [IMPLY] versatile [PERIOD]
rational [IMPLY] comfortable [PERIOD]
fearless [IMPLY] cooperative [PERIOD]
helpful [AND] agreeable [AND] condemned [IMPLY] disgusted [PERIOD]
difficult [AND] sincere [IMPLY] calm [PERIOD]
rational [AND] enchanting [IMPLY] versatile [PERIOD]
comfortable [IMPLY] weary [PERIOD]
disgusted [AND] reserved [AND] cooperative [IMPLY] frantic [PERIOD]
sincere [IMPLY] calm [PERIOD]
fearless [AND] versatile [AND] frail [IMPLY] dishonest [PERIOD]
exuberant [AND] homely [IMPLY] frantic [PERIOD]
witty [AND] exuberant [IMPLY] versatile [PERIOD]
condemned [AND] disgusted [AND] agreeable [IMPLY] reserved [PERIOD]
agreeable [AND] enchanting [AND] difficult [IMPLY] vivacious [PERIOD]
enchanting [AND] witty [IMPLY] weary [PERIOD]
enchanting [AND] frantic [AND] cute [IMPLY] difficult [PERIOD]
Query: Alice is versatile [PERIOD]","Proof chain:
   comfortable ⇒ homely
   homely ⇒ witty
   comfortable ⇒ homely
   homely ⇒ condemned
   condemned ∧ comfortable ⇒ frail
   frail ∧ comfortable ⇒ exuberant
   witty ∧ exuberant ⇒ versatile
",1,7
"Facts:  Alice is dull [PERIOD] Alice is confused [PERIOD]
Rules:
perfect [AND] jittery [AND] innocent [IMPLY] dull [PERIOD]
dishonest [IMPLY] talented [PERIOD]
easy [AND] talented [IMPLY] jittery [PERIOD]
confused [AND] talented [IMPLY] stormy [PERIOD]
talented [AND] dishonest [IMPLY] perfect [PERIOD]
frantic [AND] polite [IMPLY] perfect [PERIOD]
jittery [AND] perfect [AND] long [IMPLY] crowded [PERIOD]
long [AND] confused [AND] frantic [IMPLY] innocent [PERIOD]
spotless [AND] confused [AND] long [IMPLY] plain [PERIOD]
long [AND] curious [AND] inexpensive [IMPLY] plain [PERIOD]
jittery [AND] confused [IMPLY] stormy [PERIOD]
long [AND] helpful [IMPLY] perfect [PERIOD]
helpful [IMPLY] long [PERIOD]
frantic [AND] stormy [AND] jittery [IMPLY] helpful [PERIOD]
stormy [IMPLY] helpful [PERIOD]
jittery [IMPLY] perfect [PERIOD]
crowded [AND] frantic [IMPLY] polite [PERIOD]
stormy [AND] talented [AND] polite [IMPLY] curious [PERIOD]
helpful [AND] frantic [AND] plain [IMPLY] spotless [PERIOD]
helpful [IMPLY] dishonest [PERIOD]
crowded [AND] long [AND] spotless [IMPLY] helpful [PERIOD]
dishonest [AND] confused [IMPLY] plain [PERIOD]
easy [AND] frantic [IMPLY] dishonest [PERIOD]
frantic [IMPLY] perfect [PERIOD]
clean [IMPLY] confused [PERIOD]
inexpensive [IMPLY] talented [PERIOD]
curious [AND] jittery [IMPLY] inexpensive [PERIOD]
dull [AND] curious [AND] innocent [IMPLY] jittery [PERIOD]
inexpensive [AND] crowded [AND] clean [IMPLY] polite [PERIOD]
polite [AND] stormy [IMPLY] innocent [PERIOD]
stormy [IMPLY] spotless [PERIOD]
clean [AND] curious [AND] confused [IMPLY] frantic [PERIOD]
dull [IMPLY] crowded [PERIOD]
plain [AND] clean [IMPLY] spotless [PERIOD]
easy [AND] confused [AND] crowded [IMPLY] helpful [PERIOD]
easy [AND] dishonest [AND] spotless [IMPLY] innocent [PERIOD]
jittery [AND] dishonest [AND] dull [IMPLY] stormy [PERIOD]
confused [AND] frantic [IMPLY] perfect [PERIOD]
confused [AND] easy [IMPLY] dishonest [PERIOD]
crowded [AND] curious [IMPLY] clean [PERIOD]
worrisome [IMPLY] stormy [PERIOD]
long [AND] crowded [IMPLY] clean [PERIOD]
long [AND] confused [AND] dull [IMPLY] perfect [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “talented ∧ dishonest ⇒ perfect” because missing: talented, dishonest.
   Cannot apply rule “frantic ∧ polite ⇒ perfect” because missing: frantic, polite.
   Cannot apply rule “long ∧ helpful ⇒ perfect” because missing: long, helpful.
   Cannot apply rule “jittery ⇒ perfect” because missing: jittery.
   Cannot apply rule “frantic ⇒ perfect” because missing: frantic.
   Cannot apply rule “confused ∧ frantic ⇒ perfect” because missing: frantic.
   Cannot apply rule “long ∧ confused ∧ dull ⇒ perfect” because missing: long.
",0,7
"Facts:  Alice is perfect [PERIOD] Alice is nervous [PERIOD] Alice is gleaming [PERIOD]
Rules:
impatient [AND] mysterious [AND] embarrassed [IMPLY] quaint [PERIOD]
inexpensive [AND] calm [IMPLY] impatient [PERIOD]
calm [AND] nervous [IMPLY] gleaming [PERIOD]
impatient [IMPLY] old-fashioned [PERIOD]
perfect [AND] quaint [IMPLY] impatient [PERIOD]
gorgeous [AND] nervous [AND] old-fashioned [IMPLY] shiny [PERIOD]
quaint [AND] courageous [AND] old-fashioned [IMPLY] calm [PERIOD]
old-fashioned [AND] embarrassed [IMPLY] mysterious [PERIOD]
gorgeous [AND] gleaming [IMPLY] shiny [PERIOD]
calm [AND] impatient [AND] old-fashioned [IMPLY] tense [PERIOD]
plain [IMPLY] courageous [PERIOD]
courageous [IMPLY] nervous [PERIOD]
plain [AND] embarrassed [IMPLY] fearless [PERIOD]
plain [AND] embarrassed [IMPLY] gorgeous [PERIOD]
shiny [IMPLY] nervous [PERIOD]
gorgeous [AND] shiny [AND] quaint [IMPLY] gleaming [PERIOD]
old-fashioned [AND] fearless [AND] impatient [IMPLY] embarrassed [PERIOD]
calm [IMPLY] quaint [PERIOD]
calm [IMPLY] plain [PERIOD]
impatient [AND] fearless [AND] inexpensive [IMPLY] mysterious [PERIOD]
inexpensive [IMPLY] perfect [PERIOD]
nervous [IMPLY] embarrassed [PERIOD]
gleaming [AND] embarrassed [AND] tense [IMPLY] inexpensive [PERIOD]
tense [AND] calm [AND] mysterious [IMPLY] nervous [PERIOD]
fearless [AND] nervous [AND] quaint [IMPLY] calm [PERIOD]
fearless [IMPLY] plain [PERIOD]
courageous [AND] quaint [AND] perfect [IMPLY] shiny [PERIOD]
mysterious [AND] tense [IMPLY] perfect [PERIOD]
nervous [AND] mysterious [AND] gleaming [IMPLY] gorgeous [PERIOD]
nervous [AND] impatient [AND] courageous [IMPLY] calm [PERIOD]
embarrassed [AND] inexpensive [IMPLY] impatient [PERIOD]
tense [AND] perfect [IMPLY] shiny [PERIOD]
inexpensive [AND] nervous [IMPLY] fearless [PERIOD]
plain [AND] gorgeous [IMPLY] quaint [PERIOD]
old-fashioned [IMPLY] mysterious [PERIOD]
tense [AND] old-fashioned [AND] inexpensive [IMPLY] courageous [PERIOD]
gorgeous [AND] tense [IMPLY] shiny [PERIOD]
nervous [AND] shiny [AND] inexpensive [IMPLY] old-fashioned [PERIOD]
nervous [AND] quaint [IMPLY] plain [PERIOD]
plain [AND] fearless [AND] old-fashioned [IMPLY] mysterious [PERIOD]
gleaming [IMPLY] inexpensive [PERIOD]
courageous [AND] gorgeous [AND] nervous [IMPLY] plain [PERIOD]
inexpensive [AND] plain [AND] gleaming [IMPLY] nervous [PERIOD]
mysterious [AND] gleaming [AND] embarrassed [IMPLY] shiny [PERIOD]
courageous [IMPLY] mysterious [PERIOD]
old-fashioned [AND] tense [IMPLY] fearless [PERIOD]
mysterious [AND] shiny [AND] tense [IMPLY] quaint [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   nervous ⇒ embarrassed
   gleaming ⇒ inexpensive
   embarrassed ∧ inexpensive ⇒ impatient
   gleaming ⇒ inexpensive
   inexpensive ∧ nervous ⇒ fearless
   gleaming ⇒ inexpensive
   impatient ∧ fearless ∧ inexpensive ⇒ mysterious
",1,7
"Facts:  Alice is anxious [PERIOD] Alice is bad-tempered [PERIOD] Alice is powerful [PERIOD] Alice is frail [PERIOD] Alice is blushing [PERIOD] Alice is jittery [PERIOD] Alice is smart [PERIOD] Alice is enchanting [PERIOD]
Rules:
selfish [AND] blushing [IMPLY] powerful [PERIOD]
strange [IMPLY] powerful [PERIOD]
enchanting [IMPLY] anxious [PERIOD]
frail [IMPLY] shy [PERIOD]
frail [AND] pleasant [IMPLY] smart [PERIOD]
modern [AND] stubborn [IMPLY] blushing [PERIOD]
jittery [AND] modern [AND] shy [IMPLY] helpful [PERIOD]
pleasant [AND] jittery [AND] powerful [IMPLY] frail [PERIOD]
wrong [IMPLY] smart [PERIOD]
blushing [IMPLY] frail [PERIOD]
helpful [AND] strange [AND] blushing [IMPLY] modern [PERIOD]
shy [AND] strange [AND] stubborn [IMPLY] smart [PERIOD]
enchanting [AND] modern [IMPLY] pleasant [PERIOD]
anxious [AND] blushing [IMPLY] wrong [PERIOD]
pleasant [AND] shy [IMPLY] strange [PERIOD]
pleasant [AND] frail [AND] bad-tempered [IMPLY] blushing [PERIOD]
jittery [AND] wrong [IMPLY] modern [PERIOD]
jittery [AND] powerful [AND] wrong [IMPLY] uptight [PERIOD]
frail [AND] wrong [AND] strange [IMPLY] blushing [PERIOD]
powerful [IMPLY] modern [PERIOD]
enchanting [AND] bad-tempered [IMPLY] shy [PERIOD]
pleasant [AND] helpful [IMPLY] frail [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   anxious ∧ blushing ⇒ wrong
   jittery ∧ powerful ∧ wrong ⇒ uptight
",1,2
"Facts:  Alice is rude [PERIOD]
Rules:
naughty [AND] straightforward [IMPLY] sincere [PERIOD]
shiny [IMPLY] talented [PERIOD]
shiny [IMPLY] talkative [PERIOD]
dull [AND] sincere [AND] naughty [IMPLY] talkative [PERIOD]
frail [IMPLY] shiny [PERIOD]
wandering [AND] rude [AND] fearless [IMPLY] shiny [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “shiny ⇒ talkative” because missing: shiny.
   Cannot apply rule “dull ∧ sincere ∧ naughty ⇒ talkative” because missing: dull, sincere, naughty.
",0,2
"Facts:  Alice is inquisitive [PERIOD] Alice is joyous [PERIOD] Alice is stubborn [PERIOD] Alice is worrisome [PERIOD]
Rules:
stupid [IMPLY] stubborn [PERIOD]
adorable [AND] blushing [AND] attractive [IMPLY] stubborn [PERIOD]
old-fashioned [IMPLY] stubborn [PERIOD]
adorable [AND] jittery [IMPLY] old-fashioned [PERIOD]
worrisome [AND] joyous [AND] impatient [IMPLY] famous [PERIOD]
rude [IMPLY] stubborn [PERIOD]
joyous [IMPLY] stupid [PERIOD]
old-fashioned [AND] famous [AND] attractive [IMPLY] attentive [PERIOD]
gorgeous [AND] precious [AND] attentive [IMPLY] attractive [PERIOD]
attentive [AND] precious [IMPLY] distinct [PERIOD]
friendly [AND] worrisome [AND] weary [IMPLY] plain [PERIOD]
plain [IMPLY] weary [PERIOD]
impatient [IMPLY] courageous [PERIOD]
courageous [IMPLY] inquisitive [PERIOD]
disgusted [AND] stupid [IMPLY] tidy [PERIOD]
attractive [AND] gorgeous [AND] joyous [IMPLY] famous [PERIOD]
joyous [AND] old-fashioned [IMPLY] tense [PERIOD]
fragile [AND] horrible [IMPLY] worrisome [PERIOD]
wandering [IMPLY] courageous [PERIOD]
tidy [AND] attentive [AND] worrisome [IMPLY] impatient [PERIOD]
old-fashioned [AND] hypocritical [AND] precious [IMPLY] wandering [PERIOD]
worrisome [AND] jittery [AND] adorable [IMPLY] impatient [PERIOD]
famous [AND] courageous [AND] worrisome [IMPLY] jittery [PERIOD]
joyous [AND] rude [IMPLY] tense [PERIOD]
worrisome [AND] hypocritical [IMPLY] distinct [PERIOD]
blushing [AND] old-fashioned [AND] hypocritical [IMPLY] wandering [PERIOD]
joyous [AND] attentive [AND] impatient [IMPLY] old-fashioned [PERIOD]
attentive [AND] tense [AND] old-fashioned [IMPLY] hypocritical [PERIOD]
plain [IMPLY] joyous [PERIOD]
tense [IMPLY] impatient [PERIOD]
adorable [AND] rude [AND] blushing [IMPLY] disgusted [PERIOD]
distinct [AND] tidy [AND] dishonest [IMPLY] precious [PERIOD]
hypocritical [AND] friendly [AND] stubborn [IMPLY] courageous [PERIOD]
friendly [AND] distinct [AND] hypocritical [IMPLY] adorable [PERIOD]
dishonest [IMPLY] jittery [PERIOD]
tidy [IMPLY] courageous [PERIOD]
joyous [AND] tidy [IMPLY] tense [PERIOD]
friendly [AND] outstanding [AND] rude [IMPLY] horrible [PERIOD]
horrible [AND] tidy [AND] outstanding [IMPLY] inquisitive [PERIOD]
old-fashioned [IMPLY] hypocritical [PERIOD]
precious [AND] horrible [AND] tense [IMPLY] hypocritical [PERIOD]
weary [AND] wandering [AND] courageous [IMPLY] attentive [PERIOD]
precious [AND] old-fashioned [AND] adorable [IMPLY] friendly [PERIOD]
fragile [AND] jittery [IMPLY] attractive [PERIOD]
impatient [AND] fragile [AND] adorable [IMPLY] stubborn [PERIOD]
attentive [AND] old-fashioned [IMPLY] gorgeous [PERIOD]
old-fashioned [IMPLY] wandering [PERIOD]
plain [IMPLY] outstanding [PERIOD]
attentive [AND] attractive [IMPLY] courageous [PERIOD]
wandering [IMPLY] horrible [PERIOD]
impatient [AND] wandering [IMPLY] distinct [PERIOD]
attentive [AND] blushing [IMPLY] friendly [PERIOD]
old-fashioned [IMPLY] tidy [PERIOD]
stubborn [IMPLY] gorgeous [PERIOD]
stupid [AND] blushing [IMPLY] joyous [PERIOD]
fragile [IMPLY] worrisome [PERIOD]
fragile [IMPLY] famous [PERIOD]
attractive [AND] adorable [AND] tense [IMPLY] joyous [PERIOD]
weary [IMPLY] courageous [PERIOD]
impatient [IMPLY] joyous [PERIOD]
stubborn [AND] weary [IMPLY] impatient [PERIOD]
blushing [IMPLY] courageous [PERIOD]
famous [AND] attractive [AND] plain [IMPLY] horrible [PERIOD]
friendly [AND] precious [IMPLY] famous [PERIOD]
famous [AND] stubborn [AND] wandering [IMPLY] attentive [PERIOD]
hypocritical [AND] distinct [AND] tidy [IMPLY] attractive [PERIOD]
precious [IMPLY] jittery [PERIOD]
gorgeous [AND] attentive [AND] wandering [IMPLY] distinct [PERIOD]
attentive [AND] famous [IMPLY] weary [PERIOD]
adorable [AND] attractive [IMPLY] impatient [PERIOD]
courageous [AND] blushing [AND] friendly [IMPLY] wandering [PERIOD]
courageous [AND] distinct [IMPLY] weary [PERIOD]
gorgeous [AND] worrisome [AND] old-fashioned [IMPLY] attentive [PERIOD]
impatient [IMPLY] horrible [PERIOD]
blushing [AND] stubborn [IMPLY] joyous [PERIOD]
precious [IMPLY] adorable [PERIOD]
friendly [IMPLY] weary [PERIOD]
courageous [AND] stupid [AND] blushing [IMPLY] famous [PERIOD]
impatient [AND] old-fashioned [AND] disgusted [IMPLY] horrible [PERIOD]
jittery [IMPLY] gorgeous [PERIOD]
stubborn [AND] old-fashioned [IMPLY] attentive [PERIOD]
outstanding [AND] gorgeous [IMPLY] old-fashioned [PERIOD]
hypocritical [IMPLY] stupid [PERIOD]
distinct [AND] hypocritical [AND] dishonest [IMPLY] plain [PERIOD]
tense [IMPLY] dishonest [PERIOD]
plain [IMPLY] old-fashioned [PERIOD]
jittery [AND] dishonest [IMPLY] precious [PERIOD]
precious [IMPLY] old-fashioned [PERIOD]
joyous [IMPLY] famous [PERIOD]
blushing [AND] inquisitive [AND] horrible [IMPLY] wandering [PERIOD]
rude [IMPLY] outstanding [PERIOD]
stupid [AND] gorgeous [AND] weary [IMPLY] tidy [PERIOD]
impatient [AND] joyous [AND] plain [IMPLY] blushing [PERIOD]
courageous [AND] worrisome [AND] dishonest [IMPLY] wandering [PERIOD]
friendly [AND] disgusted [IMPLY] courageous [PERIOD]
joyous [AND] impatient [IMPLY] distinct [PERIOD]
precious [AND] stubborn [IMPLY] wandering [PERIOD]
impatient [AND] famous [IMPLY] adorable [PERIOD]
old-fashioned [AND] plain [IMPLY] stupid [PERIOD]
distinct [AND] fragile [IMPLY] tidy [PERIOD]
attentive [AND] gorgeous [IMPLY] outstanding [PERIOD]
friendly [AND] distinct [AND] stubborn [IMPLY] rude [PERIOD]
friendly [IMPLY] outstanding [PERIOD]
stupid [IMPLY] rude [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   joyous ⇒ stupid
   stupid ⇒ rude
   joyous ∧ rude ⇒ tense
   tense ⇒ impatient
   impatient ⇒ horrible
",1,5
"Facts:  Alice is friendly [PERIOD]
Rules:
frightened [IMPLY] talented [PERIOD]
grumpy [AND] easy [IMPLY] frail [PERIOD]
talented [AND] friendly [AND] frightened [IMPLY] grumpy [PERIOD]
friendly [AND] long [AND] bad-tempered [IMPLY] outstanding [PERIOD]
innocent [AND] friendly [IMPLY] outstanding [PERIOD]
frail [AND] grumpy [AND] easy [IMPLY] bad-tempered [PERIOD]
worrisome [AND] easy [IMPLY] long [PERIOD]
frightened [AND] frail [AND] friendly [IMPLY] talented [PERIOD]
talented [IMPLY] frail [PERIOD]
long [AND] talented [IMPLY] worrisome [PERIOD]
frightened [AND] talented [IMPLY] grumpy [PERIOD]
talented [IMPLY] grumpy [PERIOD]
long [AND] talented [AND] innocent [IMPLY] worrisome [PERIOD]
bad-tempered [IMPLY] innocent [PERIOD]
easy [AND] talented [AND] grumpy [IMPLY] bad-tempered [PERIOD]
talented [AND] bad-tempered [IMPLY] grumpy [PERIOD]
friendly [AND] talented [IMPLY] bad-tempered [PERIOD]
outstanding [AND] bad-tempered [IMPLY] grumpy [PERIOD]
outstanding [AND] grumpy [AND] long [IMPLY] talented [PERIOD]
friendly [AND] frightened [IMPLY] outstanding [PERIOD]
friendly [AND] long [AND] grumpy [IMPLY] talented [PERIOD]
friendly [AND] outstanding [IMPLY] frail [PERIOD]
outstanding [AND] friendly [IMPLY] long [PERIOD]
grumpy [AND] easy [IMPLY] friendly [PERIOD]
bad-tempered [IMPLY] friendly [PERIOD]
grumpy [IMPLY] innocent [PERIOD]
innocent [AND] easy [AND] bad-tempered [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] talented [PERIOD]
long [AND] frail [IMPLY] friendly [PERIOD]
frail [AND] outstanding [AND] frightened [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] frightened [IMPLY] talented [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
   Cannot apply rule “frightened ⇒ talented” because missing: frightened.
   Cannot apply rule “frightened ∧ frail ∧ friendly ⇒ talented” because missing: frightened, frail.
   Cannot apply rule “outstanding ∧ grumpy ∧ long ⇒ talented” because missing: outstanding, grumpy, long.
   Cannot apply rule “friendly ∧ long ∧ grumpy ⇒ talented” because missing: long, grumpy.
   Cannot apply rule “outstanding ⇒ talented” because missing: outstanding.
   Cannot apply rule “bad-tempered ∧ frightened ⇒ talented” because missing: bad-tempered, frightened.
",0,6
"Facts:  Alice is alert [PERIOD] Alice is attentive [PERIOD] Alice is wandering [PERIOD] Alice is scared [PERIOD]
Rules:
dull [AND] thoughtless [AND] mysterious [IMPLY] tender [PERIOD]
wandering [IMPLY] scared [PERIOD]
alert [IMPLY] scared [PERIOD]
stormy [IMPLY] worried [PERIOD]
impartial [IMPLY] anxious [PERIOD]
thoughtless [AND] naughty [IMPLY] tender [PERIOD]
ugly [IMPLY] lucky [PERIOD]
worrisome [IMPLY] clumsy [PERIOD]
scared [IMPLY] dull [PERIOD]
stormy [IMPLY] lucky [PERIOD]
worrisome [AND] clumsy [IMPLY] tender [PERIOD]
alert [IMPLY] wandering [PERIOD]
anxious [AND] attentive [AND] clumsy [IMPLY] ugly [PERIOD]
ugly [AND] mysterious [IMPLY] worrisome [PERIOD]
cooperative [AND] impartial [IMPLY] tender [PERIOD]
naughty [AND] clumsy [AND] tender [IMPLY] worrisome [PERIOD]
clumsy [AND] cooperative [IMPLY] anxious [PERIOD]
dull [AND] tender [AND] worried [IMPLY] thoughtless [PERIOD]
clumsy [AND] naughty [AND] wandering [IMPLY] mysterious [PERIOD]
worried [AND] ugly [IMPLY] anxious [PERIOD]
scared [AND] impartial [AND] wandering [IMPLY] worrisome [PERIOD]
worrisome [AND] dull [IMPLY] stormy [PERIOD]
naughty [IMPLY] anxious [PERIOD]
naughty [AND] alert [AND] worried [IMPLY] mysterious [PERIOD]
dull [AND] scared [AND] naughty [IMPLY] clumsy [PERIOD]
naughty [IMPLY] tender [PERIOD]
wandering [IMPLY] attentive [PERIOD]
mysterious [AND] alert [IMPLY] cooperative [PERIOD]
dull [IMPLY] naughty [PERIOD]
dull [AND] clumsy [AND] scared [IMPLY] ugly [PERIOD]
scared [AND] attentive [AND] cooperative [IMPLY] clumsy [PERIOD]
cooperative [AND] alert [IMPLY] thoughtless [PERIOD]
worried [AND] lucky [IMPLY] wandering [PERIOD]
worried [IMPLY] mysterious [PERIOD]
dull [IMPLY] clumsy [PERIOD]
impartial [IMPLY] alert [PERIOD]
lucky [AND] worried [AND] clumsy [IMPLY] stormy [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   scared ⇒ dull
   dull ⇒ clumsy
   scared ⇒ dull
   dull ⇒ naughty
   clumsy ∧ naughty ∧ wandering ⇒ mysterious
",1,5
"Facts:  Alice is frail [PERIOD] Alice is aggressive [PERIOD] Alice is mysterious [PERIOD] Alice is mean [PERIOD] Alice is nervous [PERIOD] Alice is wrong [PERIOD]
Rules:
spotless [AND] elegant [AND] dull [IMPLY] worried [PERIOD]
hurt [IMPLY] exuberant [PERIOD]
aggressive [AND] mysterious [AND] wrong [IMPLY] mean [PERIOD]
proud [AND] mysterious [IMPLY] wrong [PERIOD]
naughty [IMPLY] mean [PERIOD]
shy [AND] elegant [AND] frail [IMPLY] dull [PERIOD]
shy [AND] spotless [IMPLY] outrageous [PERIOD]
hurt [AND] outrageous [IMPLY] shy [PERIOD]
proud [AND] beautiful [IMPLY] shy [PERIOD]
exuberant [IMPLY] proud [PERIOD]
worried [AND] serious [IMPLY] mysterious [PERIOD]
spotless [AND] mysterious [IMPLY] shy [PERIOD]
dull [AND] shy [AND] serious [IMPLY] spotless [PERIOD]
beautiful [AND] worried [IMPLY] proud [PERIOD]
nervous [IMPLY] exuberant [PERIOD]
pleasant [AND] elegant [IMPLY] mean [PERIOD]
nervous [AND] exuberant [AND] serious [IMPLY] dull [PERIOD]
dull [IMPLY] frail [PERIOD]
long [AND] outrageous [AND] mysterious [IMPLY] worried [PERIOD]
spotless [IMPLY] wrong [PERIOD]
frail [IMPLY] pleasant [PERIOD]
pleasant [AND] aggressive [IMPLY] proud [PERIOD]
spotless [AND] dull [AND] frail [IMPLY] elegant [PERIOD]
aggressive [IMPLY] elegant [PERIOD]
elegant [IMPLY] dull [PERIOD]
outrageous [IMPLY] spotless [PERIOD]
outrageous [AND] aggressive [IMPLY] mean [PERIOD]
wrong [AND] nervous [IMPLY] beautiful [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   nervous ⇒ exuberant
   exuberant ⇒ proud
   wrong ∧ nervous ⇒ beautiful
   proud ∧ beautiful ⇒ shy
",1,4
"Facts:  Alice is ugly [PERIOD] Alice is confused [PERIOD] Alice is bad-tempered [PERIOD] Alice is comfortable [PERIOD] Alice is spotless [PERIOD] Alice is ambitious [PERIOD]
Rules:
scared [AND] helpless [IMPLY] versatile [PERIOD]
strange [IMPLY] polite [PERIOD]
thoughtless [AND] bad-tempered [AND] ambitious [IMPLY] careless [PERIOD]
spotless [IMPLY] polite [PERIOD]
light [AND] versatile [AND] fearless [IMPLY] ambitious [PERIOD]
comfortable [AND] ugly [IMPLY] disgusted [PERIOD]
comfortable [AND] scared [IMPLY] helpless [PERIOD]
attractive [AND] versatile [IMPLY] light [PERIOD]
careless [AND] sincere [AND] disgusted [IMPLY] talkative [PERIOD]
ambitious [AND] ugly [IMPLY] naughty [PERIOD]
confused [AND] careless [AND] ugly [IMPLY] worried [PERIOD]
comfortable [IMPLY] worried [PERIOD]
careless [IMPLY] comfortable [PERIOD]
fearless [AND] confused [AND] versatile [IMPLY] attractive [PERIOD]
worried [AND] gifted [AND] talkative [IMPLY] sincere [PERIOD]
scared [AND] talkative [IMPLY] long [PERIOD]
gifted [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] strange [PERIOD]
worried [IMPLY] ambitious [PERIOD]
thoughtless [AND] sincere [AND] fearless [IMPLY] talkative [PERIOD]
disgusted [AND] sincere [IMPLY] polite [PERIOD]
disgusted [AND] confused [IMPLY] long [PERIOD]
ugly [IMPLY] sincere [PERIOD]
fearless [IMPLY] naughty [PERIOD]
mysterious [AND] scared [IMPLY] strange [PERIOD]
bad-tempered [IMPLY] confused [PERIOD]
ugly [AND] bad-tempered [AND] spotless [IMPLY] sincere [PERIOD]
comfortable [IMPLY] long [PERIOD]
comfortable [IMPLY] ugly [PERIOD]
helpless [AND] thoughtless [IMPLY] horrible [PERIOD]
spotless [AND] gifted [AND] helpless [IMPLY] thoughtless [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “spotless ∧ gifted ∧ helpless ⇒ thoughtless” because missing: gifted, helpless.
",0,1
"Facts:  Alice is mysterious [PERIOD] Alice is elated [PERIOD] Alice is friendly [PERIOD]
Rules:
mean [AND] supportive [AND] gifted [IMPLY] straightforward [PERIOD]
supportive [AND] fine [AND] straightforward [IMPLY] crowded [PERIOD]
aggressive [IMPLY] fearless [PERIOD]
gifted [IMPLY] supportive [PERIOD]
elated [IMPLY] exuberant [PERIOD]
sensible [AND] rude [IMPLY] clean [PERIOD]
hilarious [IMPLY] thoughtless [PERIOD]
sensible [AND] thoughtless [IMPLY] fine [PERIOD]
crowded [AND] bad-tempered [AND] rude [IMPLY] tired [PERIOD]
mean [AND] mysterious [IMPLY] combative [PERIOD]
nervous [IMPLY] bad-tempered [PERIOD]
supportive [AND] fine [IMPLY] aggressive [PERIOD]
straightforward [IMPLY] condemned [PERIOD]
dishonest [IMPLY] strange [PERIOD]
gifted [AND] average [IMPLY] aggressive [PERIOD]
mysterious [IMPLY] dishonest [PERIOD]
aggressive [IMPLY] supportive [PERIOD]
exuberant [AND] combative [AND] sensible [IMPLY] straightforward [PERIOD]
sensible [IMPLY] rude [PERIOD]
thoughtless [AND] gifted [IMPLY] fine [PERIOD]
average [AND] elated [AND] mysterious [IMPLY] gifted [PERIOD]
rude [AND] nervous [IMPLY] supportive [PERIOD]
condemned [IMPLY] fine [PERIOD]
gifted [AND] thoughtless [AND] exuberant [IMPLY] fine [PERIOD]
gifted [AND] combative [IMPLY] disgusted [PERIOD]
mysterious [IMPLY] strange [PERIOD]
muddy [IMPLY] rude [PERIOD]
strange [IMPLY] hilarious [PERIOD]
sensible [AND] plain [AND] muddy [IMPLY] rude [PERIOD]
dishonest [AND] mysterious [IMPLY] pessimistic [PERIOD]
elated [AND] disgusted [AND] straightforward [IMPLY] mean [PERIOD]
thoughtless [IMPLY] friendly [PERIOD]
strange [IMPLY] elated [PERIOD]
muddy [IMPLY] aggressive [PERIOD]
supportive [AND] exuberant [IMPLY] sensible [PERIOD]
straightforward [IMPLY] talented [PERIOD]
combative [AND] straightforward [AND] rude [IMPLY] gifted [PERIOD]
pessimistic [AND] hilarious [AND] elated [IMPLY] exuberant [PERIOD]
average [IMPLY] gifted [PERIOD]
fearless [AND] average [IMPLY] straightforward [PERIOD]
crowded [AND] thoughtless [AND] plain [IMPLY] pessimistic [PERIOD]
bad-tempered [IMPLY] gifted [PERIOD]
plain [AND] friendly [AND] disgusted [IMPLY] fearless [PERIOD]
condemned [AND] strange [IMPLY] mean [PERIOD]
strange [AND] aggressive [IMPLY] exuberant [PERIOD]
mean [AND] rude [AND] dishonest [IMPLY] sensible [PERIOD]
hilarious [IMPLY] clean [PERIOD]
condemned [IMPLY] disgusted [PERIOD]
hilarious [AND] mean [AND] supportive [IMPLY] dishonest [PERIOD]
aggressive [AND] mean [IMPLY] rude [PERIOD]
strange [AND] plain [IMPLY] muddy [PERIOD]
plain [AND] hilarious [IMPLY] strange [PERIOD]
plain [AND] clean [AND] rude [IMPLY] friendly [PERIOD]
average [AND] fearless [AND] aggressive [IMPLY] talented [PERIOD]
gifted [AND] dishonest [AND] condemned [IMPLY] straightforward [PERIOD]
fearless [AND] fine [IMPLY] dishonest [PERIOD]
supportive [IMPLY] fine [PERIOD]
exuberant [AND] straightforward [AND] sensible [IMPLY] friendly [PERIOD]
crowded [AND] mean [AND] fine [IMPLY] friendly [PERIOD]
dishonest [AND] disgusted [IMPLY] clean [PERIOD]
crowded [IMPLY] aggressive [PERIOD]
gifted [AND] aggressive [IMPLY] supportive [PERIOD]
aggressive [AND] sensible [AND] nervous [IMPLY] hilarious [PERIOD]
crowded [IMPLY] plain [PERIOD]
hilarious [AND] aggressive [AND] bad-tempered [IMPLY] straightforward [PERIOD]
sensible [AND] thoughtless [AND] condemned [IMPLY] combative [PERIOD]
crowded [AND] nervous [IMPLY] straightforward [PERIOD]
nervous [AND] talented [IMPLY] exuberant [PERIOD]
gifted [AND] pessimistic [IMPLY] exuberant [PERIOD]
crowded [IMPLY] exuberant [PERIOD]
supportive [IMPLY] crowded [PERIOD]
dishonest [AND] muddy [AND] straightforward [IMPLY] combative [PERIOD]
combative [AND] elated [AND] exuberant [IMPLY] clean [PERIOD]
fearless [AND] nervous [IMPLY] tired [PERIOD]
hilarious [IMPLY] rude [PERIOD]
fearless [AND] hilarious [AND] strange [IMPLY] supportive [PERIOD]
dishonest [AND] gifted [IMPLY] combative [PERIOD]
bad-tempered [AND] tired [AND] mysterious [IMPLY] fearless [PERIOD]
fine [AND] gifted [IMPLY] straightforward [PERIOD]
fearless [IMPLY] straightforward [PERIOD]
exuberant [AND] bad-tempered [AND] plain [IMPLY] tired [PERIOD]
condemned [IMPLY] friendly [PERIOD]
nervous [AND] supportive [IMPLY] elated [PERIOD]
pessimistic [IMPLY] aggressive [PERIOD]
average [AND] supportive [AND] crowded [IMPLY] plain [PERIOD]
disgusted [AND] thoughtless [IMPLY] talented [PERIOD]
supportive [IMPLY] friendly [PERIOD]
muddy [AND] pessimistic [IMPLY] supportive [PERIOD]
talented [AND] straightforward [IMPLY] elated [PERIOD]
straightforward [AND] mysterious [AND] hilarious [IMPLY] sensible [PERIOD]
pessimistic [AND] elated [AND] exuberant [IMPLY] plain [PERIOD]
clean [AND] supportive [IMPLY] gifted [PERIOD]
gifted [AND] average [AND] combative [IMPLY] mysterious [PERIOD]
clean [AND] condemned [IMPLY] exuberant [PERIOD]
bad-tempered [IMPLY] sensible [PERIOD]
condemned [IMPLY] gifted [PERIOD]
straightforward [AND] mysterious [IMPLY] talented [PERIOD]
exuberant [IMPLY] disgusted [PERIOD]
average [IMPLY] exuberant [PERIOD]
clean [AND] combative [AND] fine [IMPLY] hilarious [PERIOD]
supportive [IMPLY] tired [PERIOD]
muddy [AND] aggressive [IMPLY] condemned [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   mysterious ⇒ strange
   mysterious ⇒ dishonest
   dishonest ∧ mysterious ⇒ pessimistic
   elated ⇒ exuberant
   pessimistic ∧ elated ∧ exuberant ⇒ plain
   strange ∧ plain ⇒ muddy
",1,6
"Facts:  Alice is inexpensive [PERIOD] Alice is busy [PERIOD]
Rules:
clean [IMPLY] selfish [PERIOD]
intellectual [AND] scared [AND] fine [IMPLY] elegant [PERIOD]
intellectual [AND] clean [IMPLY] frantic [PERIOD]
inexpensive [IMPLY] homely [PERIOD]
busy [AND] selfish [AND] scared [IMPLY] impartial [PERIOD]
inexpensive [AND] beautiful [IMPLY] busy [PERIOD]
homely [AND] busy [IMPLY] selfish [PERIOD]
intellectual [IMPLY] beautiful [PERIOD]
scared [AND] shiny [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] frantic [PERIOD]
elegant [IMPLY] quaint [PERIOD]
beautiful [IMPLY] intellectual [PERIOD]
old-fashioned [AND] fine [IMPLY] selfish [PERIOD]
impartial [AND] quaint [AND] homely [IMPLY] busy [PERIOD]
intellectual [AND] scared [IMPLY] quaint [PERIOD]
frantic [AND] selfish [AND] impartial [IMPLY] beautiful [PERIOD]
impartial [AND] inexpensive [AND] selfish [IMPLY] scared [PERIOD]
impartial [AND] clean [IMPLY] inexpensive [PERIOD]
fine [AND] quaint [AND] shiny [IMPLY] busy [PERIOD]
old-fashioned [AND] clean [AND] fine [IMPLY] intellectual [PERIOD]
selfish [AND] frantic [AND] busy [IMPLY] homely [PERIOD]
busy [AND] elegant [AND] scared [IMPLY] old-fashioned [PERIOD]
scared [IMPLY] homely [PERIOD]
busy [AND] intellectual [IMPLY] impartial [PERIOD]
inexpensive [IMPLY] old-fashioned [PERIOD]
elegant [AND] fine [AND] selfish [IMPLY] clean [PERIOD]
homely [AND] clean [IMPLY] elegant [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   Cannot apply rule “elegant ⇒ quaint” because missing: elegant.
   Cannot apply rule “intellectual ∧ scared ⇒ quaint” because missing: intellectual, scared.
",0,2
"Facts:  Alice is careless [PERIOD] Alice is ugly [PERIOD] Alice is rude [PERIOD] Alice is powerful [PERIOD] Alice is excited [PERIOD] Alice is courageous [PERIOD] Alice is easy [PERIOD] Alice is enchanting [PERIOD]
Rules:
enchanting [IMPLY] excited [PERIOD]
excited [AND] careless [IMPLY] powerful [PERIOD]
rude [AND] easy [IMPLY] powerful [PERIOD]
fragile [AND] ugly [IMPLY] courageous [PERIOD]
careless [IMPLY] excited [PERIOD]
amused [AND] excited [IMPLY] fragile [PERIOD]
powerful [IMPLY] easy [PERIOD]
easy [IMPLY] courageous [PERIOD]
excited [AND] ugly [AND] careless [IMPLY] amused [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is tidy [PERIOD] Alice is lucky [PERIOD] Alice is selfish [PERIOD] Alice is polite [PERIOD] Alice is ambitious [PERIOD] Alice is shy [PERIOD] Alice is hurt [PERIOD] Alice is exuberant [PERIOD] Alice is rude [PERIOD] Alice is lonely [PERIOD] Alice is anxious [PERIOD] Alice is enchanting [PERIOD] Alice is unpleasant [PERIOD] Alice is elated [PERIOD] Alice is thoughtful [PERIOD] Alice is fragile [PERIOD] Alice is adorable [PERIOD]
Rules:
thoughtful [AND] hurt [IMPLY] popular [PERIOD]
elated [AND] selfish [AND] ambitious [IMPLY] enchanting [PERIOD]
ambitious [AND] polite [IMPLY] victorious [PERIOD]
hurt [AND] mean [IMPLY] thoughtful [PERIOD]
mean [AND] tidy [IMPLY] tense [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
   No rule concludes “scared.”
",0,1
"Facts:  Alice is shy [PERIOD] Alice is dishonest [PERIOD]
Rules:
precious [IMPLY] bossy [PERIOD]
bossy [IMPLY] diplomatic [PERIOD]
combative [AND] dishonest [AND] clean [IMPLY] light [PERIOD]
diplomatic [AND] calm [AND] bossy [IMPLY] nervous [PERIOD]
outstanding [AND] polite [IMPLY] stormy [PERIOD]
nervous [IMPLY] muddy [PERIOD]
foolish [IMPLY] mysterious [PERIOD]
shy [AND] gorgeous [IMPLY] light [PERIOD]
mysterious [AND] messy [IMPLY] stormy [PERIOD]
witty [IMPLY] hilarious [PERIOD]
foolish [IMPLY] precious [PERIOD]
messy [AND] gorgeous [IMPLY] witty [PERIOD]
bossy [AND] shy [AND] mysterious [IMPLY] nervous [PERIOD]
clean [AND] hilarious [AND] mean [IMPLY] outstanding [PERIOD]
foolish [IMPLY] messy [PERIOD]
light [IMPLY] mysterious [PERIOD]
diplomatic [IMPLY] light [PERIOD]
foolish [AND] messy [AND] fragile [IMPLY] clean [PERIOD]
busy [IMPLY] nervous [PERIOD]
gorgeous [AND] polite [AND] clean [IMPLY] muddy [PERIOD]
shy [AND] combative [IMPLY] outstanding [PERIOD]
gorgeous [AND] combative [AND] messy [IMPLY] curious [PERIOD]
precious [IMPLY] foolish [PERIOD]
light [IMPLY] messy [PERIOD]
gorgeous [AND] dishonest [AND] mysterious [IMPLY] tidy [PERIOD]
curious [IMPLY] fragile [PERIOD]
fragile [IMPLY] muddy [PERIOD]
dishonest [AND] curious [AND] bossy [IMPLY] mean [PERIOD]
fragile [AND] light [AND] dishonest [IMPLY] bossy [PERIOD]
nervous [IMPLY] stormy [PERIOD]
stormy [AND] muddy [AND] dishonest [IMPLY] shy [PERIOD]
busy [AND] bossy [AND] messy [IMPLY] witty [PERIOD]
muddy [AND] shy [IMPLY] nervous [PERIOD]
witty [IMPLY] polite [PERIOD]
light [AND] bossy [AND] curious [IMPLY] foolish [PERIOD]
nervous [IMPLY] tidy [PERIOD]
mysterious [AND] stormy [AND] fragile [IMPLY] witty [PERIOD]
diplomatic [AND] polite [AND] shy [IMPLY] precious [PERIOD]
tidy [IMPLY] gorgeous [PERIOD]
muddy [AND] calm [IMPLY] stormy [PERIOD]
busy [AND] curious [AND] mean [IMPLY] tidy [PERIOD]
diplomatic [IMPLY] calm [PERIOD]
mean [AND] fragile [IMPLY] curious [PERIOD]
dishonest [IMPLY] foolish [PERIOD]
curious [AND] diplomatic [IMPLY] muddy [PERIOD]
dishonest [AND] stormy [AND] tidy [IMPLY] muddy [PERIOD]
tidy [AND] messy [AND] diplomatic [IMPLY] calm [PERIOD]
nervous [IMPLY] busy [PERIOD]
light [AND] hilarious [IMPLY] tidy [PERIOD]
dishonest [IMPLY] clean [PERIOD]
mysterious [AND] hilarious [AND] mean [IMPLY] diplomatic [PERIOD]
nervous [AND] stormy [IMPLY] polite [PERIOD]
busy [AND] precious [AND] gorgeous [IMPLY] calm [PERIOD]
bossy [IMPLY] stormy [PERIOD]
curious [AND] dishonest [IMPLY] bossy [PERIOD]
diplomatic [IMPLY] witty [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   dishonest ⇒ foolish
   foolish ⇒ precious
   precious ⇒ bossy
   bossy ⇒ diplomatic
   diplomatic ⇒ witty
",1,5
"Facts: 
Rules:
popular [AND] plain [AND] tense [IMPLY] light [PERIOD]
excited [AND] average [IMPLY] shiny [PERIOD]
silly [IMPLY] disgusted [PERIOD]
weary [IMPLY] popular [PERIOD]
talkative [IMPLY] aggressive [PERIOD]
weary [AND] calm [AND] talkative [IMPLY] tidy [PERIOD]
hurt [IMPLY] beautiful [PERIOD]
plain [IMPLY] pessimistic [PERIOD]
alert [AND] shiny [IMPLY] calm [PERIOD]
plain [IMPLY] tame [PERIOD]
tame [AND] lucky [IMPLY] thoughtless [PERIOD]
average [AND] disgusted [AND] popular [IMPLY] pessimistic [PERIOD]
silly [IMPLY] pessimistic [PERIOD]
shiny [IMPLY] talkative [PERIOD]
lucky [AND] tame [AND] tense [IMPLY] silly [PERIOD]
distinct [AND] shiny [IMPLY] alert [PERIOD]
combative [IMPLY] tidy [PERIOD]
light [IMPLY] weary [PERIOD]
tidy [AND] beautiful [IMPLY] thoughtless [PERIOD]
shiny [AND] popular [AND] pessimistic [IMPLY] distinct [PERIOD]
talkative [IMPLY] lonely [PERIOD]
excited [AND] average [AND] plain [IMPLY] alert [PERIOD]
aggressive [AND] shiny [IMPLY] lonely [PERIOD]
silly [IMPLY] alert [PERIOD]
fancy [IMPLY] weary [PERIOD]
calm [AND] excited [IMPLY] light [PERIOD]
excited [IMPLY] thoughtless [PERIOD]
aggressive [IMPLY] disgusted [PERIOD]
calm [AND] pessimistic [AND] aggressive [IMPLY] light [PERIOD]
inquisitive [IMPLY] lonely [PERIOD]
pessimistic [AND] inquisitive [AND] tame [IMPLY] versatile [PERIOD]
distinct [AND] pessimistic [AND] combative [IMPLY] worried [PERIOD]
combative [AND] lonely [IMPLY] talkative [PERIOD]
combative [IMPLY] weary [PERIOD]
pessimistic [AND] excited [IMPLY] attentive [PERIOD]
selfish [IMPLY] shiny [PERIOD]
inquisitive [IMPLY] talkative [PERIOD]
beautiful [IMPLY] calm [PERIOD]
average [IMPLY] fancy [PERIOD]
excited [AND] hurt [IMPLY] tidy [PERIOD]
pessimistic [IMPLY] hurt [PERIOD]
excited [IMPLY] disgusted [PERIOD]
alert [AND] aggressive [AND] calm [IMPLY] worried [PERIOD]
lonely [IMPLY] popular [PERIOD]
alert [AND] beautiful [AND] shiny [IMPLY] disgusted [PERIOD]
tense [AND] plain [IMPLY] disgusted [PERIOD]
inquisitive [AND] calm [IMPLY] shiny [PERIOD]
tidy [AND] aggressive [AND] lucky [IMPLY] lonely [PERIOD]
light [AND] silly [IMPLY] talkative [PERIOD]
selfish [AND] tame [IMPLY] thoughtless [PERIOD]
versatile [AND] excited [IMPLY] light [PERIOD]
versatile [AND] lucky [IMPLY] light [PERIOD]
worried [AND] talkative [IMPLY] shiny [PERIOD]
thoughtless [AND] lonely [IMPLY] combative [PERIOD]
popular [IMPLY] light [PERIOD]
distinct [AND] beautiful [IMPLY] inquisitive [PERIOD]
lonely [AND] popular [IMPLY] tame [PERIOD]
hurt [AND] thoughtless [IMPLY] weary [PERIOD]
light [IMPLY] beautiful [PERIOD]
lonely [IMPLY] plain [PERIOD]
tidy [AND] combative [AND] popular [IMPLY] pessimistic [PERIOD]
shiny [AND] inquisitive [IMPLY] lucky [PERIOD]
fancy [AND] light [IMPLY] talkative [PERIOD]
beautiful [AND] hurt [IMPLY] tense [PERIOD]
attentive [AND] distinct [AND] tidy [IMPLY] talkative [PERIOD]
weary [IMPLY] distinct [PERIOD]
lonely [AND] beautiful [IMPLY] disgusted [PERIOD]
hurt [AND] pessimistic [IMPLY] popular [PERIOD]
lucky [IMPLY] pessimistic [PERIOD]
tense [IMPLY] talkative [PERIOD]
disgusted [AND] tense [IMPLY] beautiful [PERIOD]
tame [AND] fancy [AND] talkative [IMPLY] silly [PERIOD]
average [AND] tidy [AND] selfish [IMPLY] attentive [PERIOD]
hurt [AND] inquisitive [IMPLY] excited [PERIOD]
combative [AND] disgusted [AND] selfish [IMPLY] weary [PERIOD]
calm [AND] aggressive [AND] inquisitive [IMPLY] plain [PERIOD]
fancy [IMPLY] distinct [PERIOD]
selfish [AND] lonely [AND] versatile [IMPLY] lucky [PERIOD]
popular [IMPLY] tense [PERIOD]
tame [AND] calm [AND] thoughtless [IMPLY] lonely [PERIOD]
lucky [IMPLY] fancy [PERIOD]
lucky [IMPLY] tidy [PERIOD]
calm [AND] selfish [AND] fancy [IMPLY] lonely [PERIOD]
worried [AND] attentive [AND] shiny [IMPLY] versatile [PERIOD]
selfish [IMPLY] attentive [PERIOD]
aggressive [IMPLY] excited [PERIOD]
alert [AND] average [AND] inquisitive [IMPLY] thoughtless [PERIOD]
light [AND] weary [IMPLY] fancy [PERIOD]
weary [AND] plain [IMPLY] popular [PERIOD]
talkative [AND] excited [IMPLY] aggressive [PERIOD]
excited [IMPLY] beautiful [PERIOD]
lucky [IMPLY] lonely [PERIOD]
light [AND] plain [IMPLY] average [PERIOD]
tame [IMPLY] calm [PERIOD]
versatile [AND] worried [AND] beautiful [IMPLY] alert [PERIOD]
pessimistic [AND] tidy [IMPLY] selfish [PERIOD]
combative [AND] excited [AND] popular [IMPLY] worried [PERIOD]
popular [AND] distinct [IMPLY] lonely [PERIOD]
attentive [AND] weary [IMPLY] excited [PERIOD]
tense [AND] worried [IMPLY] disgusted [PERIOD]
attentive [IMPLY] pessimistic [PERIOD]
shiny [IMPLY] hurt [PERIOD]
weary [AND] tidy [AND] pessimistic [IMPLY] distinct [PERIOD]
average [AND] selfish [IMPLY] calm [PERIOD]
versatile [AND] hurt [AND] silly [IMPLY] tame [PERIOD]
fancy [AND] versatile [AND] shiny [IMPLY] weary [PERIOD]
plain [AND] thoughtless [AND] hurt [IMPLY] pessimistic [PERIOD]
fancy [IMPLY] plain [PERIOD]
excited [AND] thoughtless [IMPLY] pessimistic [PERIOD]
popular [AND] beautiful [IMPLY] pessimistic [PERIOD]
beautiful [IMPLY] fancy [PERIOD]
weary [AND] silly [AND] combative [IMPLY] light [PERIOD]
light [AND] lucky [AND] average [IMPLY] alert [PERIOD]
plain [IMPLY] selfish [PERIOD]
disgusted [AND] talkative [IMPLY] popular [PERIOD]
popular [AND] selfish [AND] fancy [IMPLY] average [PERIOD]
talkative [IMPLY] worried [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   Cannot apply rule “excited ∧ average ⇒ shiny” because missing: excited, average.
   Cannot apply rule “selfish ⇒ shiny” because missing: selfish.
   Cannot apply rule “inquisitive ∧ calm ⇒ shiny” because missing: inquisitive, calm.
   Cannot apply rule “worried ∧ talkative ⇒ shiny” because missing: worried, talkative.
",0,4
"Facts:  Alice is proud [PERIOD]
Rules:
careless [AND] scared [AND] dull [IMPLY] ugliest [PERIOD]
hurt [IMPLY] bossy [PERIOD]
busy [IMPLY] powerful [PERIOD]
adorable [AND] dull [IMPLY] popular [PERIOD]
careless [AND] serious [AND] hurt [IMPLY] busy [PERIOD]
popular [IMPLY] serious [PERIOD]
nervous [IMPLY] dull [PERIOD]
adorable [AND] diplomatic [AND] busy [IMPLY] bossy [PERIOD]
helpless [AND] serious [IMPLY] amused [PERIOD]
diplomatic [IMPLY] scared [PERIOD]
hurt [AND] helpless [AND] nervous [IMPLY] adorable [PERIOD]
helpless [IMPLY] serious [PERIOD]
scared [IMPLY] amused [PERIOD]
amused [IMPLY] helpless [PERIOD]
proud [AND] diplomatic [AND] careless [IMPLY] amused [PERIOD]
ugliest [IMPLY] careless [PERIOD]
serious [AND] helpless [AND] busy [IMPLY] powerful [PERIOD]
hurt [AND] helpless [IMPLY] bossy [PERIOD]
bossy [AND] helpless [AND] serious [IMPLY] nervous [PERIOD]
ugliest [AND] bossy [IMPLY] serious [PERIOD]
ugliest [IMPLY] busy [PERIOD]
nervous [AND] adorable [IMPLY] ugliest [PERIOD]
powerful [IMPLY] adorable [PERIOD]
nervous [IMPLY] scared [PERIOD]
serious [AND] careless [IMPLY] ugliest [PERIOD]
busy [AND] adorable [AND] diplomatic [IMPLY] nervous [PERIOD]
nervous [AND] powerful [AND] busy [IMPLY] hurt [PERIOD]
busy [AND] diplomatic [IMPLY] hurt [PERIOD]
serious [AND] popular [AND] nervous [IMPLY] strange [PERIOD]
powerful [AND] adorable [AND] scared [IMPLY] dull [PERIOD]
powerful [AND] adorable [IMPLY] diplomatic [PERIOD]
helpless [IMPLY] busy [PERIOD]
careless [AND] helpless [IMPLY] diplomatic [PERIOD]
popular [AND] nervous [AND] dull [IMPLY] proud [PERIOD]
bossy [AND] busy [AND] amused [IMPLY] nervous [PERIOD]
scared [AND] amused [IMPLY] dull [PERIOD]
popular [IMPLY] proud [PERIOD]
hurt [AND] diplomatic [AND] adorable [IMPLY] amused [PERIOD]
hurt [AND] powerful [AND] scared [IMPLY] busy [PERIOD]
busy [AND] diplomatic [AND] careless [IMPLY] popular [PERIOD]
serious [AND] scared [IMPLY] proud [PERIOD]
ugliest [IMPLY] proud [PERIOD]
dull [AND] powerful [IMPLY] popular [PERIOD]
dull [AND] bossy [AND] careless [IMPLY] hurt [PERIOD]
proud [AND] amused [IMPLY] popular [PERIOD]
proud [IMPLY] careless [PERIOD]
ugliest [AND] serious [AND] proud [IMPLY] strange [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   Cannot apply rule “nervous ∧ powerful ∧ busy ⇒ hurt” because missing: nervous, powerful, busy.
   Cannot apply rule “busy ∧ diplomatic ⇒ hurt” because missing: busy, diplomatic.
   proud ⇒ careless
   Cannot apply rule “dull ∧ bossy ∧ careless ⇒ hurt” because missing: dull, bossy.
",0,4
"Facts:  Alice is dull [PERIOD]
Rules:
frail [AND] wrong [IMPLY] spotless [PERIOD]
foolish [IMPLY] famous [PERIOD]
reserved [IMPLY] tense [PERIOD]
cruel [AND] wrong [IMPLY] famous [PERIOD]
foolish [IMPLY] reserved [PERIOD]
famous [IMPLY] crowded [PERIOD]
tired [IMPLY] frail [PERIOD]
frail [AND] tense [IMPLY] crowded [PERIOD]
agreeable [AND] foolish [AND] dull [IMPLY] crowded [PERIOD]
agreeable [AND] dull [AND] crowded [IMPLY] long [PERIOD]
excited [AND] confident [IMPLY] dull [PERIOD]
dull [IMPLY] tense [PERIOD]
impatient [IMPLY] frail [PERIOD]
confident [AND] famous [AND] tired [IMPLY] dull [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   Cannot apply rule “famous ⇒ crowded” because missing: famous.
   dull ⇒ tense
   Cannot apply rule “frail ∧ tense ⇒ crowded” because missing: frail.
   Cannot apply rule “agreeable ∧ foolish ∧ dull ⇒ crowded” because missing: agreeable, foolish.
",0,4
"Facts:  Alice is stupid [PERIOD] Alice is elated [PERIOD]
Rules:
elegant [AND] shy [IMPLY] glamorous [PERIOD]
weary [IMPLY] shy [PERIOD]
condemned [AND] stupid [AND] jittery [IMPLY] shy [PERIOD]
shy [AND] proud [IMPLY] glamorous [PERIOD]
glamorous [AND] weary [IMPLY] shy [PERIOD]
unpleasant [AND] joyous [IMPLY] stupid [PERIOD]
shy [AND] proud [AND] innocent [IMPLY] jittery [PERIOD]
joyous [AND] condemned [IMPLY] elated [PERIOD]
joyous [AND] glamorous [IMPLY] lucky [PERIOD]
elated [IMPLY] gifted [PERIOD]
stupid [AND] jittery [AND] thoughtless [IMPLY] lucky [PERIOD]
shy [AND] elegant [IMPLY] weary [PERIOD]
gifted [IMPLY] proud [PERIOD]
elegant [AND] jittery [IMPLY] condemned [PERIOD]
thoughtless [AND] innocent [AND] condemned [IMPLY] elated [PERIOD]
joyous [AND] condemned [IMPLY] proud [PERIOD]
thoughtless [IMPLY] proud [PERIOD]
joyous [AND] elated [IMPLY] glamorous [PERIOD]
innocent [IMPLY] jittery [PERIOD]
elated [AND] condemned [IMPLY] unpleasant [PERIOD]
condemned [IMPLY] weary [PERIOD]
lucky [IMPLY] glamorous [PERIOD]
jittery [AND] elegant [AND] shy [IMPLY] joyous [PERIOD]
elegant [IMPLY] innocent [PERIOD]
stupid [AND] condemned [IMPLY] thoughtless [PERIOD]
weary [AND] stupid [AND] elegant [IMPLY] gifted [PERIOD]
unpleasant [IMPLY] weary [PERIOD]
joyous [AND] innocent [AND] proud [IMPLY] condemned [PERIOD]
innocent [AND] glamorous [IMPLY] shy [PERIOD]
jittery [AND] joyous [IMPLY] weary [PERIOD]
gifted [AND] joyous [AND] condemned [IMPLY] elated [PERIOD]
unpleasant [AND] lucky [AND] glamorous [IMPLY] condemned [PERIOD]
stupid [IMPLY] elegant [PERIOD]
unpleasant [IMPLY] joyous [PERIOD]
elegant [AND] elated [AND] thoughtless [IMPLY] innocent [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
   stupid ⇒ elegant
   stupid ⇒ elegant
   elegant ⇒ innocent
   innocent ⇒ jittery
   elegant ∧ jittery ⇒ condemned
",1,5
"Facts:  Alice is sensible [PERIOD] Alice is alert [PERIOD] Alice is popular [PERIOD] Alice is wandering [PERIOD] Alice is stubborn [PERIOD]
Rules:
sensible [AND] muddy [AND] rational [IMPLY] agreeable [PERIOD]
muddy [AND] sensible [IMPLY] wandering [PERIOD]
wandering [IMPLY] gleaming [PERIOD]
muddy [AND] precious [AND] perfect [IMPLY] popular [PERIOD]
foolish [AND] gleaming [AND] sensible [IMPLY] muddy [PERIOD]
agreeable [AND] rational [AND] gleaming [IMPLY] muddy [PERIOD]
precious [AND] gleaming [IMPLY] alert [PERIOD]
foolish [AND] agreeable [AND] stubborn [IMPLY] precious [PERIOD]
rational [AND] sensible [IMPLY] gleaming [PERIOD]
stubborn [AND] alert [AND] rational [IMPLY] precious [PERIOD]
inquisitive [AND] wandering [IMPLY] perfect [PERIOD]
perfect [AND] sensible [IMPLY] foolish [PERIOD]
stubborn [AND] sensible [AND] rational [IMPLY] muddy [PERIOD]
muddy [AND] agreeable [AND] alert [IMPLY] precious [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   wandering ⇒ gleaming
   Cannot apply rule “foolish ∧ gleaming ∧ sensible ⇒ muddy” because missing: foolish.
   wandering ⇒ gleaming
   Cannot apply rule “agreeable ∧ rational ∧ gleaming ⇒ muddy” because missing: agreeable, rational.
   Cannot apply rule “stubborn ∧ sensible ∧ rational ⇒ muddy” because missing: rational.
",0,5
"Facts: 
Rules:
naughty [AND] loving [IMPLY] gorgeous [PERIOD]
gorgeous [AND] naughty [IMPLY] loving [PERIOD]
loving [IMPLY] gorgeous [PERIOD]
wandering [AND] silly [AND] ugly [IMPLY] loving [PERIOD]
beautiful [AND] wandering [IMPLY] condemned [PERIOD]
gorgeous [IMPLY] beautiful [PERIOD]
gorgeous [AND] exuberant [AND] average [IMPLY] silly [PERIOD]
shiny [IMPLY] beautiful [PERIOD]
gorgeous [AND] wandering [IMPLY] loving [PERIOD]
ugly [IMPLY] condemned [PERIOD]
tidy [AND] gorgeous [IMPLY] naughty [PERIOD]
ugly [AND] exuberant [AND] easy [IMPLY] silly [PERIOD]
tidy [IMPLY] exuberant [PERIOD]
easy [AND] ugly [AND] shiny [IMPLY] condemned [PERIOD]
tidy [IMPLY] silly [PERIOD]
naughty [AND] ugly [IMPLY] tidy [PERIOD]
exuberant [AND] loving [IMPLY] silly [PERIOD]
wandering [AND] naughty [IMPLY] ugly [PERIOD]
silly [AND] clean [AND] loving [IMPLY] ugly [PERIOD]
exuberant [IMPLY] condemned [PERIOD]
easy [AND] wandering [IMPLY] shiny [PERIOD]
loving [AND] easy [IMPLY] exuberant [PERIOD]
naughty [AND] condemned [IMPLY] tidy [PERIOD]
clean [AND] beautiful [IMPLY] silly [PERIOD]
clean [AND] easy [IMPLY] gorgeous [PERIOD]
wandering [AND] silly [IMPLY] average [PERIOD]
exuberant [IMPLY] loving [PERIOD]
tidy [AND] exuberant [AND] ugly [IMPLY] naughty [PERIOD]
easy [AND] gorgeous [AND] shiny [IMPLY] clean [PERIOD]
tidy [AND] wandering [AND] clean [IMPLY] easy [PERIOD]
shiny [AND] clean [IMPLY] wandering [PERIOD]
easy [AND] exuberant [IMPLY] silly [PERIOD]
tidy [AND] beautiful [IMPLY] wandering [PERIOD]
exuberant [IMPLY] tidy [PERIOD]
ugly [IMPLY] beautiful [PERIOD]
condemned [IMPLY] loving [PERIOD]
clean [AND] shiny [IMPLY] loving [PERIOD]
exuberant [AND] shiny [IMPLY] easy [PERIOD]
clean [AND] gorgeous [AND] beautiful [IMPLY] wandering [PERIOD]
beautiful [IMPLY] wandering [PERIOD]
tidy [IMPLY] condemned [PERIOD]
silly [AND] exuberant [IMPLY] beautiful [PERIOD]
clean [AND] beautiful [IMPLY] average [PERIOD]
wandering [IMPLY] condemned [PERIOD]
loving [AND] silly [AND] condemned [IMPLY] naughty [PERIOD]
wandering [AND] exuberant [AND] beautiful [IMPLY] naughty [PERIOD]
loving [AND] beautiful [IMPLY] tidy [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   Cannot apply rule “gorgeous ∧ exuberant ∧ average ⇒ silly” because missing: gorgeous, exuberant, average.
   Cannot apply rule “ugly ∧ exuberant ∧ easy ⇒ silly” because missing: ugly, exuberant, easy.
   Cannot apply rule “tidy ⇒ silly” because missing: tidy.
   Cannot apply rule “exuberant ∧ loving ⇒ silly” because missing: exuberant, loving.
   Cannot apply rule “clean ∧ beautiful ⇒ silly” because missing: clean, beautiful.
   Cannot apply rule “easy ∧ exuberant ⇒ silly” because missing: easy, exuberant.
",0,6
"Facts:  Alice is horrible [PERIOD] Alice is shy [PERIOD] Alice is gifted [PERIOD]
Rules:
ugliest [IMPLY] amused [PERIOD]
horrible [AND] innocent [IMPLY] light [PERIOD]
gifted [AND] horrible [IMPLY] frightened [PERIOD]
outrageous [AND] horrible [AND] light [IMPLY] gifted [PERIOD]
amused [AND] innocent [IMPLY] frightened [PERIOD]
light [AND] innocent [IMPLY] frightened [PERIOD]
frightened [AND] weary [AND] impartial [IMPLY] light [PERIOD]
horrible [AND] shy [AND] ugliest [IMPLY] impartial [PERIOD]
amused [AND] frightened [AND] outrageous [IMPLY] light [PERIOD]
horrible [AND] shy [AND] impartial [IMPLY] light [PERIOD]
light [AND] amused [IMPLY] gifted [PERIOD]
frightened [AND] amused [IMPLY] ugliest [PERIOD]
light [AND] horrible [AND] innocent [IMPLY] amused [PERIOD]
outrageous [AND] gifted [AND] horrible [IMPLY] innocent [PERIOD]
horrible [AND] gifted [IMPLY] weary [PERIOD]
weary [AND] frightened [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] weary [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   gifted ∧ horrible ⇒ frightened
   horrible ∧ gifted ⇒ weary
   horrible ∧ gifted ⇒ weary
   gifted ∧ horrible ⇒ frightened
   weary ∧ frightened ⇒ ugliest
   horrible ∧ shy ∧ ugliest ⇒ impartial
   frightened ∧ weary ∧ impartial ⇒ light
",1,7
"Facts:  Alice is charming [PERIOD] Alice is dull [PERIOD] Alice is distinct [PERIOD] Alice is excited [PERIOD]
Rules:
dull [AND] excited [IMPLY] bossy [PERIOD]
cooperative [AND] charming [AND] distinct [IMPLY] shiny [PERIOD]
dull [AND] cooperative [AND] excited [IMPLY] busy [PERIOD]
shiny [IMPLY] charming [PERIOD]
cooperative [AND] excited [AND] busy [IMPLY] shiny [PERIOD]
distinct [AND] bossy [AND] shiny [IMPLY] dull [PERIOD]
cooperative [IMPLY] excited [PERIOD]
dull [AND] bossy [AND] distinct [IMPLY] cooperative [PERIOD]
distinct [IMPLY] charming [PERIOD]
shiny [AND] busy [IMPLY] dull [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   dull ∧ excited ⇒ bossy
   dull ∧ bossy ∧ distinct ⇒ cooperative
   cooperative ∧ charming ∧ distinct ⇒ shiny
",1,3
"Facts:  Alice is amused [PERIOD]
Rules:
lucky [IMPLY] scared [PERIOD]
scared [AND] rude [IMPLY] lucky [PERIOD]
frightened [AND] inexpensive [AND] amused [IMPLY] ambitious [PERIOD]
scared [AND] amused [AND] excited [IMPLY] uptight [PERIOD]
uptight [AND] inexpensive [IMPLY] stupid [PERIOD]
scared [IMPLY] plain [PERIOD]
excited [AND] plain [IMPLY] frightened [PERIOD]
rude [AND] stupid [AND] amused [IMPLY] ambitious [PERIOD]
excited [AND] gifted [IMPLY] amused [PERIOD]
lucky [AND] excited [IMPLY] ambitious [PERIOD]
frightened [AND] stupid [AND] lucky [IMPLY] scared [PERIOD]
amused [IMPLY] plain [PERIOD]
amused [AND] rude [AND] scared [IMPLY] inexpensive [PERIOD]
ambitious [AND] plain [IMPLY] inexpensive [PERIOD]
lucky [AND] amused [IMPLY] excited [PERIOD]
scared [AND] uptight [IMPLY] frightened [PERIOD]
amused [IMPLY] uptight [PERIOD]
stupid [AND] plain [AND] lucky [IMPLY] frightened [PERIOD]
scared [AND] cooperative [IMPLY] stupid [PERIOD]
scared [IMPLY] rude [PERIOD]
frightened [AND] scared [IMPLY] ambitious [PERIOD]
frightened [AND] stupid [IMPLY] ambitious [PERIOD]
stupid [IMPLY] plain [PERIOD]
frightened [AND] inexpensive [IMPLY] cooperative [PERIOD]
stupid [IMPLY] ambitious [PERIOD]
excited [AND] ambitious [AND] lucky [IMPLY] plain [PERIOD]
stupid [IMPLY] excited [PERIOD]
cooperative [IMPLY] gifted [PERIOD]
excited [AND] lucky [IMPLY] stupid [PERIOD]
stupid [IMPLY] amused [PERIOD]
plain [IMPLY] rude [PERIOD]
inexpensive [AND] excited [AND] rude [IMPLY] lucky [PERIOD]
amused [IMPLY] cooperative [PERIOD]
inexpensive [AND] cooperative [AND] frightened [IMPLY] amused [PERIOD]
inexpensive [IMPLY] plain [PERIOD]
inexpensive [AND] cooperative [AND] ambitious [IMPLY] gifted [PERIOD]
lucky [AND] rude [AND] amused [IMPLY] ambitious [PERIOD]
inexpensive [AND] plain [AND] amused [IMPLY] scared [PERIOD]
plain [AND] frightened [IMPLY] excited [PERIOD]
excited [AND] ambitious [IMPLY] plain [PERIOD]
cooperative [AND] excited [IMPLY] gifted [PERIOD]
uptight [AND] excited [AND] cooperative [IMPLY] plain [PERIOD]
excited [AND] stupid [IMPLY] rude [PERIOD]
rude [AND] gifted [IMPLY] ambitious [PERIOD]
ambitious [AND] frightened [IMPLY] excited [PERIOD]
cooperative [AND] scared [IMPLY] amused [PERIOD]
gifted [AND] stupid [IMPLY] inexpensive [PERIOD]
lucky [IMPLY] rude [PERIOD]
excited [IMPLY] frightened [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   amused ⇒ plain
   plain ⇒ rude
   amused ⇒ cooperative
   cooperative ⇒ gifted
   rude ∧ gifted ⇒ ambitious
",1,5
"Facts:  Alice is helpful [PERIOD] Alice is crowded [PERIOD] Alice is jittery [PERIOD]
Rules:
careless [AND] spotless [IMPLY] light [PERIOD]
weary [AND] disgusted [IMPLY] easy [PERIOD]
stubborn [AND] crowded [IMPLY] frail [PERIOD]
talkative [AND] stubborn [AND] straightforward [IMPLY] frail [PERIOD]
talkative [AND] straightforward [IMPLY] easy [PERIOD]
disgusted [AND] helpful [IMPLY] gorgeous [PERIOD]
careless [AND] joyous [AND] helpful [IMPLY] gorgeous [PERIOD]
muddy [AND] scared [IMPLY] easy [PERIOD]
broad-minded [AND] muddy [IMPLY] jittery [PERIOD]
mysterious [AND] zealous [AND] joyous [IMPLY] stubborn [PERIOD]
worrisome [AND] careless [AND] gorgeous [IMPLY] crowded [PERIOD]
zealous [AND] cooperative [AND] spotless [IMPLY] elegant [PERIOD]
joyous [AND] gorgeous [IMPLY] elegant [PERIOD]
crowded [AND] zealous [IMPLY] outrageous [PERIOD]
elegant [AND] straightforward [IMPLY] muddy [PERIOD]
silly [AND] cooperative [AND] broad-minded [IMPLY] helpful [PERIOD]
jittery [AND] zealous [AND] easy [IMPLY] helpful [PERIOD]
joyous [AND] elegant [AND] easy [IMPLY] silly [PERIOD]
zealous [IMPLY] muddy [PERIOD]
crowded [AND] stubborn [AND] weary [IMPLY] silly [PERIOD]
mysterious [AND] crowded [IMPLY] elegant [PERIOD]
disgusted [IMPLY] careless [PERIOD]
easy [AND] talkative [AND] shiny [IMPLY] muddy [PERIOD]
frail [AND] silly [AND] straightforward [IMPLY] cooperative [PERIOD]
zealous [AND] careless [IMPLY] broad-minded [PERIOD]
jittery [IMPLY] elegant [PERIOD]
worrisome [AND] talkative [IMPLY] frail [PERIOD]
scared [AND] outrageous [AND] joyous [IMPLY] helpful [PERIOD]
cooperative [AND] talkative [IMPLY] joyous [PERIOD]
disgusted [AND] spotless [IMPLY] helpful [PERIOD]
wrong [AND] stubborn [AND] talkative [IMPLY] gorgeous [PERIOD]
worrisome [IMPLY] helpful [PERIOD]
joyous [AND] worrisome [IMPLY] gorgeous [PERIOD]
helpful [IMPLY] talkative [PERIOD]
worrisome [AND] muddy [IMPLY] jittery [PERIOD]
spotless [AND] elegant [AND] wrong [IMPLY] easy [PERIOD]
careless [IMPLY] elegant [PERIOD]
gorgeous [AND] wrong [AND] disgusted [IMPLY] light [PERIOD]
crowded [IMPLY] gorgeous [PERIOD]
muddy [AND] worrisome [AND] mysterious [IMPLY] scared [PERIOD]
muddy [AND] worrisome [IMPLY] shiny [PERIOD]
talkative [AND] stubborn [AND] straightforward [IMPLY] silly [PERIOD]
outrageous [IMPLY] joyous [PERIOD]
mysterious [IMPLY] scared [PERIOD]
stubborn [IMPLY] jittery [PERIOD]
disgusted [IMPLY] broad-minded [PERIOD]
stubborn [AND] outrageous [IMPLY] shiny [PERIOD]
zealous [AND] outrageous [IMPLY] helpful [PERIOD]
muddy [AND] talkative [IMPLY] stubborn [PERIOD]
talkative [IMPLY] straightforward [PERIOD]
wrong [AND] broad-minded [AND] zealous [IMPLY] muddy [PERIOD]
cooperative [AND] crowded [IMPLY] stubborn [PERIOD]
talkative [AND] weary [AND] mysterious [IMPLY] easy [PERIOD]
helpful [AND] disgusted [AND] worrisome [IMPLY] muddy [PERIOD]
disgusted [AND] joyous [AND] zealous [IMPLY] jittery [PERIOD]
scared [IMPLY] wrong [PERIOD]
outrageous [IMPLY] frail [PERIOD]
helpful [AND] crowded [IMPLY] scared [PERIOD]
frail [AND] shiny [AND] careless [IMPLY] silly [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   jittery ⇒ elegant
   helpful ⇒ talkative
   talkative ⇒ straightforward
   elegant ∧ straightforward ⇒ muddy
   helpful ⇒ talkative
   muddy ∧ talkative ⇒ stubborn
",1,6
"Facts:  Alice is bad-tempered [PERIOD]
Rules:
fearless [AND] bad-tempered [AND] perfect [IMPLY] disobedient [PERIOD]
alert [AND] old-fashioned [AND] bad-tempered [IMPLY] disobedient [PERIOD]
bad-tempered [AND] friendly [IMPLY] alert [PERIOD]
alert [AND] disobedient [IMPLY] perfect [PERIOD]
perfect [AND] alert [AND] lonely [IMPLY] fearless [PERIOD]
disobedient [IMPLY] fearless [PERIOD]
fearless [IMPLY] friendly [PERIOD]
fearless [AND] lonely [IMPLY] friendly [PERIOD]
friendly [AND] fearless [AND] bad-tempered [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] bad-tempered [IMPLY] disobedient [PERIOD]
friendly [AND] perfect [AND] alert [IMPLY] fearless [PERIOD]
bad-tempered [AND] disobedient [IMPLY] fearless [PERIOD]
perfect [AND] alert [AND] lonely [IMPLY] bad-tempered [PERIOD]
friendly [AND] disobedient [AND] alert [IMPLY] fearless [PERIOD]
perfect [AND] friendly [AND] bad-tempered [IMPLY] alert [PERIOD]
bad-tempered [AND] alert [AND] friendly [IMPLY] perfect [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   Cannot apply rule “perfect ∧ alert ∧ lonely ⇒ fearless” because missing: perfect, alert, lonely.
   Cannot apply rule “disobedient ⇒ fearless” because missing: disobedient.
   Cannot apply rule “friendly ∧ perfect ∧ alert ⇒ fearless” because missing: friendly, perfect, alert.
   Cannot apply rule “bad-tempered ∧ disobedient ⇒ fearless” because missing: disobedient.
   Cannot apply rule “friendly ∧ disobedient ∧ alert ⇒ fearless” because missing: friendly, disobedient, alert.
",0,5
"Facts:  Alice is dishonest [PERIOD] Alice is wide-eyed [PERIOD] Alice is confident [PERIOD] Alice is shiny [PERIOD] Alice is charming [PERIOD] Alice is stupid [PERIOD] Alice is dull [PERIOD] Alice is wandering [PERIOD]
Rules:
tense [AND] silly [IMPLY] outrageous [PERIOD]
charming [IMPLY] outrageous [PERIOD]
wandering [AND] stupid [IMPLY] charming [PERIOD]
wandering [IMPLY] charming [PERIOD]
wide-eyed [AND] stupid [AND] shiny [IMPLY] silly [PERIOD]
stupid [AND] confident [IMPLY] silly [PERIOD]
wide-eyed [IMPLY] lucky [PERIOD]
silly [IMPLY] outrageous [PERIOD]
shiny [AND] tense [IMPLY] charming [PERIOD]
stupid [IMPLY] lucky [PERIOD]
stupid [AND] wide-eyed [AND] silly [IMPLY] tense [PERIOD]
outrageous [AND] stupid [IMPLY] silly [PERIOD]
stupid [AND] wandering [IMPLY] popular [PERIOD]
stupid [IMPLY] popular [PERIOD]
popular [IMPLY] charming [PERIOD]
tense [AND] sleepy [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] tense [IMPLY] dull [PERIOD]
dull [AND] wandering [AND] wide-eyed [IMPLY] confident [PERIOD]
wandering [AND] adorable [IMPLY] dishonest [PERIOD]
wandering [AND] dishonest [IMPLY] silly [PERIOD]
popular [AND] outrageous [IMPLY] charming [PERIOD]
tense [AND] dishonest [AND] dull [IMPLY] stupid [PERIOD]
charming [AND] silly [AND] dull [IMPLY] stupid [PERIOD]
lucky [AND] stupid [IMPLY] popular [PERIOD]
charming [AND] adorable [AND] dishonest [IMPLY] stupid [PERIOD]
outrageous [AND] lucky [IMPLY] silly [PERIOD]
popular [AND] tense [IMPLY] confident [PERIOD]
charming [IMPLY] tense [PERIOD]
silly [IMPLY] shiny [PERIOD]
wandering [IMPLY] lucky [PERIOD]
shiny [IMPLY] tense [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is stupid [PERIOD] Alice is exuberant [PERIOD] Alice is homely [PERIOD] Alice is ambitious [PERIOD] Alice is impatient [PERIOD] Alice is hurt [PERIOD] Alice is excited [PERIOD] Alice is fine [PERIOD] Alice is frail [PERIOD] Alice is glamorous [PERIOD] Alice is joyous [PERIOD] Alice is worrisome [PERIOD] Alice is talented [PERIOD] Alice is silly [PERIOD] Alice is precious [PERIOD] Alice is tame [PERIOD] Alice is grumpy [PERIOD] Alice is fearless [PERIOD] Alice is naughty [PERIOD] Alice is inexpensive [PERIOD] Alice is cruel [PERIOD] Alice is victorious [PERIOD]
Rules:
tame [AND] inexpensive [AND] cruel [IMPLY] exuberant [PERIOD]
glamorous [IMPLY] ambitious [PERIOD]
fine [IMPLY] ambitious [PERIOD]
homely [AND] ambitious [AND] grumpy [IMPLY] victorious [PERIOD]
talented [AND] grumpy [AND] homely [IMPLY] frail [PERIOD]
precious [AND] tame [AND] joyous [IMPLY] hurt [PERIOD]
talented [AND] fearless [AND] inexpensive [IMPLY] glamorous [PERIOD]
cruel [AND] grumpy [AND] polite [IMPLY] silly [PERIOD]
worrisome [IMPLY] impatient [PERIOD]
talented [AND] fearless [AND] silly [IMPLY] hurt [PERIOD]
talented [AND] polite [IMPLY] hurt [PERIOD]
impatient [AND] naughty [IMPLY] tame [PERIOD]
fearless [AND] lucky [IMPLY] tame [PERIOD]
excited [AND] fine [IMPLY] cruel [PERIOD]
fearless [IMPLY] naughty [PERIOD]
victorious [AND] joyous [IMPLY] lucky [PERIOD]
silly [IMPLY] precious [PERIOD]
precious [AND] worrisome [AND] fearless [IMPLY] stupid [PERIOD]
grumpy [AND] glamorous [IMPLY] homely [PERIOD]
joyous [AND] glamorous [IMPLY] worrisome [PERIOD]
polite [IMPLY] cruel [PERIOD]
excited [AND] fine [IMPLY] grumpy [PERIOD]
worrisome [AND] excited [IMPLY] fine [PERIOD]
tame [AND] comfortable [AND] victorious [IMPLY] fearless [PERIOD]
cruel [IMPLY] fearless [PERIOD]
impatient [AND] worrisome [IMPLY] lucky [PERIOD]
glamorous [AND] excited [AND] ambitious [IMPLY] impatient [PERIOD]
lucky [AND] impatient [IMPLY] grumpy [PERIOD]
polite [AND] joyous [IMPLY] frail [PERIOD]
exuberant [AND] cruel [AND] impatient [IMPLY] stupid [PERIOD]
inexpensive [IMPLY] hurt [PERIOD]
exuberant [AND] fine [IMPLY] ambitious [PERIOD]
lucky [AND] precious [AND] hurt [IMPLY] ambitious [PERIOD]
stupid [AND] worrisome [AND] comfortable [IMPLY] ambitious [PERIOD]
polite [IMPLY] frail [PERIOD]
talented [IMPLY] impatient [PERIOD]
silly [AND] frail [AND] cruel [IMPLY] victorious [PERIOD]
frail [IMPLY] hurt [PERIOD]
victorious [AND] silly [IMPLY] joyous [PERIOD]
precious [AND] polite [AND] glamorous [IMPLY] lucky [PERIOD]
silly [AND] homely [IMPLY] inexpensive [PERIOD]
stupid [IMPLY] glamorous [PERIOD]
hurt [IMPLY] talented [PERIOD]
worrisome [IMPLY] naughty [PERIOD]
glamorous [IMPLY] polite [PERIOD]
fearless [IMPLY] stupid [PERIOD]
naughty [AND] excited [IMPLY] glamorous [PERIOD]
precious [AND] naughty [AND] exuberant [IMPLY] grumpy [PERIOD]
tame [IMPLY] talented [PERIOD]
precious [IMPLY] victorious [PERIOD]
excited [IMPLY] cruel [PERIOD]
naughty [AND] hurt [AND] joyous [IMPLY] glamorous [PERIOD]
lucky [AND] talented [AND] worrisome [IMPLY] impatient [PERIOD]
stupid [IMPLY] precious [PERIOD]
joyous [AND] excited [AND] talented [IMPLY] homely [PERIOD]
precious [IMPLY] worrisome [PERIOD]
victorious [IMPLY] joyous [PERIOD]
ambitious [AND] frail [IMPLY] fearless [PERIOD]
silly [AND] tame [IMPLY] hurt [PERIOD]
victorious [AND] polite [IMPLY] exuberant [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is crowded [PERIOD] Alice is impartial [PERIOD] Alice is good [PERIOD] Alice is inexpensive [PERIOD] Alice is rational [PERIOD] Alice is plain [PERIOD] Alice is broad-minded [PERIOD]
Rules:
muddy [AND] calm [IMPLY] plain [PERIOD]
rational [AND] good [AND] impartial [IMPLY] muddy [PERIOD]
supportive [IMPLY] muddy [PERIOD]
crowded [AND] rational [AND] plain [IMPLY] rude [PERIOD]
calm [IMPLY] crowded [PERIOD]
embarrassed [AND] supportive [AND] calm [IMPLY] rude [PERIOD]
impartial [AND] broad-minded [AND] good [IMPLY] calm [PERIOD]
supportive [AND] rational [IMPLY] crowded [PERIOD]
talkative [IMPLY] supportive [PERIOD]
serious [AND] calm [IMPLY] inexpensive [PERIOD]
calm [IMPLY] impartial [PERIOD]
crowded [AND] talkative [IMPLY] inexpensive [PERIOD]
plain [IMPLY] good [PERIOD]
calm [AND] muddy [AND] inexpensive [IMPLY] plain [PERIOD]
calm [AND] rational [AND] inexpensive [IMPLY] good [PERIOD]
good [IMPLY] embarrassed [PERIOD]
impartial [IMPLY] inexpensive [PERIOD]
rational [IMPLY] good [PERIOD]
plain [IMPLY] embarrassed [PERIOD]
supportive [AND] rational [IMPLY] impartial [PERIOD]
impartial [IMPLY] crowded [PERIOD]
rude [AND] rational [IMPLY] calm [PERIOD]
broad-minded [AND] supportive [IMPLY] crowded [PERIOD]
embarrassed [IMPLY] rational [PERIOD]
supportive [AND] calm [AND] impartial [IMPLY] crowded [PERIOD]
good [AND] calm [AND] inexpensive [IMPLY] talkative [PERIOD]
broad-minded [AND] impartial [IMPLY] good [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is rational [PERIOD] Alice is disobedient [PERIOD] Alice is tired [PERIOD] Alice is hypocritical [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
hypocritical [AND] amused [IMPLY] bad-tempered [PERIOD]
tired [AND] disobedient [IMPLY] rational [PERIOD]
tired [AND] hypocritical [IMPLY] blushing [PERIOD]
bad-tempered [AND] tired [IMPLY] rational [PERIOD]
rational [AND] distinct [AND] precious [IMPLY] amused [PERIOD]
disobedient [AND] old-fashioned [AND] rude [IMPLY] hypocritical [PERIOD]
amused [AND] disobedient [IMPLY] distinct [PERIOD]
pessimistic [AND] disobedient [AND] rational [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] pessimistic [AND] proud [IMPLY] distinct [PERIOD]
blushing [AND] old-fashioned [AND] hypocritical [IMPLY] amused [PERIOD]
distinct [AND] old-fashioned [IMPLY] rational [PERIOD]
hypocritical [AND] blushing [AND] distinct [IMPLY] rude [PERIOD]
amused [IMPLY] blushing [PERIOD]
pessimistic [AND] rational [IMPLY] rude [PERIOD]
bad-tempered [AND] amused [IMPLY] tired [PERIOD]
pessimistic [AND] bad-tempered [IMPLY] amused [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
   tired ∧ hypocritical ⇒ blushing
   tired ∧ hypocritical ⇒ blushing
   blushing ∧ old-fashioned ∧ hypocritical ⇒ amused
   amused ∧ disobedient ⇒ distinct
   hypocritical ∧ blushing ∧ distinct ⇒ rude
",1,5
"Facts:  Alice is lonely [PERIOD] Alice is dull [PERIOD] Alice is versatile [PERIOD]
Rules:
dull [AND] gifted [IMPLY] different [PERIOD]
lonely [AND] messy [AND] gifted [IMPLY] fancy [PERIOD]
messy [IMPLY] muddy [PERIOD]
messy [IMPLY] different [PERIOD]
loving [AND] versatile [IMPLY] different [PERIOD]
gifted [AND] troubled [IMPLY] loving [PERIOD]
different [IMPLY] troubled [PERIOD]
versatile [AND] lonely [AND] different [IMPLY] fancy [PERIOD]
fancy [IMPLY] light [PERIOD]
light [IMPLY] lonely [PERIOD]
troubled [IMPLY] messy [PERIOD]
lonely [AND] fancy [IMPLY] different [PERIOD]
gifted [IMPLY] fancy [PERIOD]
lonely [AND] dull [IMPLY] fancy [PERIOD]
fancy [AND] muddy [AND] light [IMPLY] gifted [PERIOD]
lonely [IMPLY] different [PERIOD]
muddy [IMPLY] messy [PERIOD]
fancy [IMPLY] dull [PERIOD]
dull [AND] muddy [IMPLY] light [PERIOD]
versatile [AND] loving [AND] gifted [IMPLY] troubled [PERIOD]
lonely [AND] fancy [AND] dull [IMPLY] loving [PERIOD]
different [AND] fancy [IMPLY] loving [PERIOD]
lonely [AND] different [AND] dull [IMPLY] gifted [PERIOD]
troubled [IMPLY] loving [PERIOD]
versatile [AND] lonely [IMPLY] different [PERIOD]
fancy [AND] troubled [AND] loving [IMPLY] light [PERIOD]
different [AND] dull [IMPLY] light [PERIOD]
dull [AND] lonely [IMPLY] messy [PERIOD]
different [AND] versatile [AND] muddy [IMPLY] dull [PERIOD]
fancy [AND] light [AND] loving [IMPLY] muddy [PERIOD]
muddy [AND] light [AND] gifted [IMPLY] messy [PERIOD]
muddy [AND] dull [IMPLY] troubled [PERIOD]
Query: Alice is messy [PERIOD]","Proof chain:
   dull ∧ lonely ⇒ messy
",1,1
"Facts:  Alice is mysterious [PERIOD] Alice is distinct [PERIOD]
Rules:
frantic [AND] nervous [AND] sensible [IMPLY] worried [PERIOD]
sensible [IMPLY] versatile [PERIOD]
mysterious [AND] ugly [IMPLY] intellectual [PERIOD]
versatile [AND] bad-tempered [AND] sensible [IMPLY] frantic [PERIOD]
frantic [IMPLY] confused [PERIOD]
tired [IMPLY] frail [PERIOD]
nervous [IMPLY] distinct [PERIOD]
bad-tempered [AND] tired [IMPLY] frail [PERIOD]
confused [AND] weary [AND] frail [IMPLY] tired [PERIOD]
frantic [AND] nervous [AND] intellectual [IMPLY] worried [PERIOD]
wrong [IMPLY] tired [PERIOD]
sensible [IMPLY] bad-tempered [PERIOD]
frantic [AND] mysterious [IMPLY] bad-tempered [PERIOD]
frantic [AND] tired [AND] nervous [IMPLY] bad-tempered [PERIOD]
worried [AND] wrong [IMPLY] versatile [PERIOD]
tired [AND] ugly [IMPLY] versatile [PERIOD]
distinct [AND] ugly [AND] versatile [IMPLY] weary [PERIOD]
nervous [AND] versatile [AND] wrong [IMPLY] frail [PERIOD]
distinct [AND] weary [IMPLY] frail [PERIOD]
frantic [AND] worried [AND] distinct [IMPLY] weary [PERIOD]
weary [AND] frantic [IMPLY] frail [PERIOD]
distinct [AND] confused [AND] frail [IMPLY] wrong [PERIOD]
worried [AND] tired [IMPLY] bad-tempered [PERIOD]
confused [AND] distinct [IMPLY] sensible [PERIOD]
confused [IMPLY] frantic [PERIOD]
tired [AND] worried [IMPLY] frail [PERIOD]
distinct [AND] frail [AND] versatile [IMPLY] tired [PERIOD]
ugly [AND] sensible [AND] frail [IMPLY] worried [PERIOD]
intellectual [IMPLY] ugly [PERIOD]
intellectual [AND] tired [IMPLY] confused [PERIOD]
tired [AND] distinct [IMPLY] worried [PERIOD]
ugly [IMPLY] versatile [PERIOD]
frantic [AND] mysterious [AND] bad-tempered [IMPLY] distinct [PERIOD]
wrong [AND] distinct [IMPLY] nervous [PERIOD]
ugly [IMPLY] intellectual [PERIOD]
mysterious [AND] bad-tempered [AND] ugly [IMPLY] weary [PERIOD]
mysterious [AND] confused [AND] bad-tempered [IMPLY] ugly [PERIOD]
mysterious [AND] intellectual [IMPLY] wrong [PERIOD]
mysterious [IMPLY] frantic [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   mysterious ⇒ frantic
   frantic ⇒ confused
   mysterious ⇒ frantic
   frantic ∧ mysterious ⇒ bad-tempered
   mysterious ∧ confused ∧ bad-tempered ⇒ ugly
   mysterious ∧ ugly ⇒ intellectual
",1,6
"Facts:  Alice is proud [PERIOD] Alice is excited [PERIOD] Alice is homely [PERIOD]
Rules:
ugliest [IMPLY] proud [PERIOD]
stupid [AND] wrong [AND] proud [IMPLY] elegant [PERIOD]
wide-eyed [IMPLY] alert [PERIOD]
supportive [AND] average [AND] homely [IMPLY] frightened [PERIOD]
wide-eyed [IMPLY] outstanding [PERIOD]
confused [IMPLY] supportive [PERIOD]
tired [AND] average [AND] frantic [IMPLY] excited [PERIOD]
wide-eyed [IMPLY] tired [PERIOD]
alert [AND] tame [AND] naughty [IMPLY] tired [PERIOD]
tame [AND] versatile [IMPLY] supportive [PERIOD]
outstanding [AND] curious [IMPLY] bright [PERIOD]
ugly [IMPLY] frightened [PERIOD]
curious [AND] outstanding [IMPLY] excited [PERIOD]
excited [AND] supportive [IMPLY] elegant [PERIOD]
powerful [AND] proud [IMPLY] reserved [PERIOD]
ugly [AND] versatile [AND] alert [IMPLY] excited [PERIOD]
homely [AND] naughty [IMPLY] bored [PERIOD]
supportive [AND] ugly [AND] frightened [IMPLY] curious [PERIOD]
alert [AND] excited [IMPLY] frantic [PERIOD]
homely [AND] confused [IMPLY] bored [PERIOD]
frightened [AND] curious [AND] tame [IMPLY] outstanding [PERIOD]
curious [IMPLY] wrong [PERIOD]
versatile [IMPLY] excited [PERIOD]
ugliest [AND] bright [IMPLY] tame [PERIOD]
supportive [AND] wrong [IMPLY] bored [PERIOD]
frightened [IMPLY] tame [PERIOD]
stupid [IMPLY] alert [PERIOD]
helpless [IMPLY] powerful [PERIOD]
bright [IMPLY] proud [PERIOD]
frightened [IMPLY] reserved [PERIOD]
wrong [AND] wide-eyed [IMPLY] naughty [PERIOD]
frightened [IMPLY] excited [PERIOD]
alert [IMPLY] outstanding [PERIOD]
distinct [IMPLY] alert [PERIOD]
alert [IMPLY] confused [PERIOD]
alert [AND] curious [AND] reserved [IMPLY] wide-eyed [PERIOD]
proud [IMPLY] naughty [PERIOD]
ugliest [IMPLY] alert [PERIOD]
excited [AND] proud [AND] naughty [IMPLY] tired [PERIOD]
naughty [IMPLY] wrong [PERIOD]
bright [AND] frantic [IMPLY] ugliest [PERIOD]
naughty [IMPLY] confused [PERIOD]
ugly [IMPLY] tired [PERIOD]
elegant [IMPLY] excited [PERIOD]
wide-eyed [IMPLY] frightened [PERIOD]
supportive [AND] average [AND] alert [IMPLY] bright [PERIOD]
average [AND] wide-eyed [IMPLY] alert [PERIOD]
helpless [AND] bored [AND] versatile [IMPLY] confused [PERIOD]
excited [AND] reserved [IMPLY] helpless [PERIOD]
alert [IMPLY] stupid [PERIOD]
bored [AND] alert [IMPLY] tired [PERIOD]
ugliest [AND] frantic [IMPLY] confused [PERIOD]
bored [AND] proud [IMPLY] average [PERIOD]
alert [IMPLY] tame [PERIOD]
tired [AND] excited [AND] powerful [IMPLY] tame [PERIOD]
tired [AND] average [IMPLY] wide-eyed [PERIOD]
helpless [AND] ugly [IMPLY] tired [PERIOD]
distinct [AND] helpless [IMPLY] alert [PERIOD]
curious [IMPLY] stupid [PERIOD]
bright [IMPLY] frantic [PERIOD]
bright [AND] wrong [AND] elegant [IMPLY] average [PERIOD]
outstanding [IMPLY] elegant [PERIOD]
ugliest [AND] reserved [AND] proud [IMPLY] bright [PERIOD]
versatile [AND] reserved [AND] helpless [IMPLY] supportive [PERIOD]
supportive [AND] bright [AND] ugly [IMPLY] excited [PERIOD]
confused [IMPLY] frantic [PERIOD]
supportive [IMPLY] powerful [PERIOD]
frightened [AND] proud [AND] versatile [IMPLY] naughty [PERIOD]
stupid [AND] confused [AND] alert [IMPLY] wrong [PERIOD]
bored [AND] alert [IMPLY] bright [PERIOD]
proud [AND] bored [IMPLY] helpless [PERIOD]
average [AND] powerful [AND] homely [IMPLY] frantic [PERIOD]
bright [AND] confused [AND] homely [IMPLY] outstanding [PERIOD]
elegant [IMPLY] average [PERIOD]
tired [AND] ugly [AND] confused [IMPLY] frantic [PERIOD]
bored [AND] powerful [IMPLY] alert [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   proud ⇒ naughty
   excited ∧ proud ∧ naughty ⇒ tired
   proud ⇒ naughty
   homely ∧ naughty ⇒ bored
   bored ∧ proud ⇒ average
   tired ∧ average ⇒ wide-eyed
   wide-eyed ⇒ outstanding
",1,7
"Facts:  Alice is frightened [PERIOD] Alice is pleasant [PERIOD] Alice is ugliest [PERIOD] Alice is polite [PERIOD] Alice is pessimistic [PERIOD] Alice is spotless [PERIOD] Alice is gorgeous [PERIOD] Alice is stupid [PERIOD] Alice is different [PERIOD] Alice is rational [PERIOD] Alice is jittery [PERIOD] Alice is worried [PERIOD] Alice is wandering [PERIOD] Alice is powerful [PERIOD] Alice is cruel [PERIOD] Alice is unpleasant [PERIOD] Alice is quaint [PERIOD] Alice is smart [PERIOD] Alice is hypocritical [PERIOD] Alice is proud [PERIOD] Alice is bright [PERIOD] Alice is cooperative [PERIOD]
Rules:
smart [AND] unpleasant [AND] confident [IMPLY] proud [PERIOD]
pessimistic [AND] quaint [AND] powerful [IMPLY] cruel [PERIOD]
wandering [AND] gorgeous [AND] stupid [IMPLY] quaint [PERIOD]
proud [AND] bright [AND] spotless [IMPLY] cruel [PERIOD]
pleasant [AND] stupid [AND] confident [IMPLY] proud [PERIOD]
unpleasant [IMPLY] cooperative [PERIOD]
cooperative [AND] pessimistic [AND] cruel [IMPLY] pleasant [PERIOD]
hypocritical [IMPLY] bored [PERIOD]
gorgeous [AND] jittery [AND] ugliest [IMPLY] pleasant [PERIOD]
stupid [AND] different [AND] pleasant [IMPLY] quaint [PERIOD]
smart [AND] cruel [AND] gorgeous [IMPLY] unpleasant [PERIOD]
worried [AND] pleasant [AND] hypocritical [IMPLY] powerful [PERIOD]
polite [AND] powerful [IMPLY] cooperative [PERIOD]
confident [IMPLY] smart [PERIOD]
different [IMPLY] frightened [PERIOD]
worried [IMPLY] proud [PERIOD]
proud [AND] confident [IMPLY] bright [PERIOD]
stupid [IMPLY] pleasant [PERIOD]
smart [IMPLY] ugliest [PERIOD]
pessimistic [AND] bright [AND] unpleasant [IMPLY] polite [PERIOD]
rational [IMPLY] quaint [PERIOD]
wandering [IMPLY] bright [PERIOD]
jittery [AND] pleasant [AND] cooperative [IMPLY] wandering [PERIOD]
different [AND] polite [IMPLY] proud [PERIOD]
stupid [AND] unpleasant [AND] frightened [IMPLY] hypocritical [PERIOD]
stupid [AND] bored [AND] smart [IMPLY] gorgeous [PERIOD]
gorgeous [AND] rational [IMPLY] amused [PERIOD]
smart [IMPLY] bored [PERIOD]
polite [AND] spotless [IMPLY] cooperative [PERIOD]
different [AND] powerful [AND] jittery [IMPLY] cruel [PERIOD]
gorgeous [IMPLY] pessimistic [PERIOD]
polite [IMPLY] wandering [PERIOD]
confident [AND] bright [AND] different [IMPLY] spotless [PERIOD]
unpleasant [AND] cooperative [IMPLY] hypocritical [PERIOD]
bored [AND] confident [AND] smart [IMPLY] wandering [PERIOD]
quaint [IMPLY] stupid [PERIOD]
stupid [IMPLY] confident [PERIOD]
frightened [AND] ugliest [AND] wandering [IMPLY] spotless [PERIOD]
cooperative [IMPLY] cruel [PERIOD]
cooperative [IMPLY] powerful [PERIOD]
pessimistic [IMPLY] gorgeous [PERIOD]
unpleasant [AND] pleasant [IMPLY] worried [PERIOD]
stupid [IMPLY] unpleasant [PERIOD]
jittery [AND] gorgeous [AND] cruel [IMPLY] cooperative [PERIOD]
smart [IMPLY] hypocritical [PERIOD]
quaint [AND] pessimistic [AND] gorgeous [IMPLY] ugliest [PERIOD]
cruel [AND] smart [IMPLY] ugliest [PERIOD]
rational [AND] smart [IMPLY] unpleasant [PERIOD]
cruel [AND] smart [AND] spotless [IMPLY] proud [PERIOD]
pleasant [IMPLY] smart [PERIOD]
confident [IMPLY] pleasant [PERIOD]
confident [AND] pessimistic [IMPLY] cooperative [PERIOD]
jittery [AND] spotless [AND] bright [IMPLY] different [PERIOD]
powerful [IMPLY] spotless [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is elated [PERIOD] Alice is talkative [PERIOD] Alice is hilarious [PERIOD] Alice is enchanting [PERIOD] Alice is attentive [PERIOD] Alice is comfortable [PERIOD] Alice is crowded [PERIOD] Alice is frightened [PERIOD] Alice is anxious [PERIOD] Alice is hurt [PERIOD]
Rules:
impatient [AND] condemned [AND] muddy [IMPLY] famous [PERIOD]
impatient [IMPLY] talkative [PERIOD]
calm [AND] worrisome [IMPLY] attentive [PERIOD]
talkative [AND] elegant [AND] tame [IMPLY] excited [PERIOD]
condemned [IMPLY] elegant [PERIOD]
condemned [IMPLY] worried [PERIOD]
frightened [AND] muddy [IMPLY] tame [PERIOD]
gleaming [IMPLY] famous [PERIOD]
excited [AND] elated [AND] hurt [IMPLY] anxious [PERIOD]
muddy [IMPLY] gleaming [PERIOD]
excited [IMPLY] comfortable [PERIOD]
sleepy [AND] famous [AND] enchanting [IMPLY] muddy [PERIOD]
famous [IMPLY] gleaming [PERIOD]
attentive [IMPLY] comfortable [PERIOD]
hilarious [AND] gleaming [IMPLY] elated [PERIOD]
courageous [AND] worried [IMPLY] alert [PERIOD]
diplomatic [AND] muddy [AND] hurt [IMPLY] elated [PERIOD]
hurt [AND] tame [AND] talkative [IMPLY] alert [PERIOD]
condemned [AND] elegant [IMPLY] worrisome [PERIOD]
talkative [AND] calm [IMPLY] excited [PERIOD]
crowded [AND] gleaming [IMPLY] tame [PERIOD]
frightened [AND] impatient [IMPLY] condemned [PERIOD]
worrisome [AND] hilarious [AND] homely [IMPLY] alert [PERIOD]
excited [AND] elegant [IMPLY] gleaming [PERIOD]
enchanting [IMPLY] homely [PERIOD]
talkative [AND] crowded [AND] enchanting [IMPLY] elegant [PERIOD]
diplomatic [AND] anxious [IMPLY] muddy [PERIOD]
sleepy [AND] condemned [AND] gleaming [IMPLY] crowded [PERIOD]
hurt [IMPLY] comfortable [PERIOD]
diplomatic [IMPLY] famous [PERIOD]
sleepy [AND] hurt [IMPLY] talkative [PERIOD]
diplomatic [IMPLY] alert [PERIOD]
calm [IMPLY] tame [PERIOD]
attentive [IMPLY] homely [PERIOD]
worrisome [IMPLY] elated [PERIOD]
elegant [AND] attentive [IMPLY] muddy [PERIOD]
alert [AND] enchanting [IMPLY] courageous [PERIOD]
gleaming [IMPLY] tame [PERIOD]
comfortable [AND] excited [AND] calm [IMPLY] attentive [PERIOD]
anxious [IMPLY] talkative [PERIOD]
excited [AND] alert [AND] attentive [IMPLY] hurt [PERIOD]
enchanting [IMPLY] crowded [PERIOD]
worrisome [AND] talkative [IMPLY] elated [PERIOD]
anxious [AND] famous [IMPLY] sleepy [PERIOD]
elegant [IMPLY] crowded [PERIOD]
elated [AND] impatient [AND] gleaming [IMPLY] worrisome [PERIOD]
enchanting [IMPLY] worrisome [PERIOD]
elated [AND] frightened [IMPLY] hurt [PERIOD]
condemned [IMPLY] hilarious [PERIOD]
talkative [AND] muddy [IMPLY] elegant [PERIOD]
famous [IMPLY] worried [PERIOD]
elated [AND] comfortable [AND] gleaming [IMPLY] crowded [PERIOD]
anxious [IMPLY] excited [PERIOD]
impatient [IMPLY] alert [PERIOD]
courageous [IMPLY] hilarious [PERIOD]
attentive [AND] diplomatic [AND] gleaming [IMPLY] tame [PERIOD]
diplomatic [AND] crowded [AND] worried [IMPLY] condemned [PERIOD]
alert [IMPLY] courageous [PERIOD]
condemned [AND] homely [IMPLY] worried [PERIOD]
crowded [IMPLY] talkative [PERIOD]
enchanting [IMPLY] muddy [PERIOD]
enchanting [AND] excited [AND] hurt [IMPLY] diplomatic [PERIOD]
crowded [AND] elegant [IMPLY] diplomatic [PERIOD]
enchanting [AND] talkative [IMPLY] courageous [PERIOD]
anxious [AND] elated [AND] hurt [IMPLY] hilarious [PERIOD]
alert [AND] excited [IMPLY] sleepy [PERIOD]
muddy [AND] hurt [IMPLY] excited [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   enchanting ⇒ worrisome
   attentive ⇒ homely
   worrisome ∧ hilarious ∧ homely ⇒ alert
   anxious ⇒ excited
   alert ∧ excited ⇒ sleepy
",1,5
"Facts:  Alice is jittery [PERIOD]
Rules:
reserved [AND] naughty [AND] embarrassed [IMPLY] witty [PERIOD]
messy [AND] embarrassed [AND] witty [IMPLY] reserved [PERIOD]
messy [IMPLY] jittery [PERIOD]
sleepy [IMPLY] witty [PERIOD]
jittery [AND] witty [IMPLY] messy [PERIOD]
jittery [AND] sleepy [IMPLY] reserved [PERIOD]
embarrassed [AND] witty [AND] messy [IMPLY] sleepy [PERIOD]
reserved [AND] witty [IMPLY] jittery [PERIOD]
naughty [IMPLY] reserved [PERIOD]
witty [AND] embarrassed [AND] sleepy [IMPLY] jittery [PERIOD]
naughty [AND] reserved [AND] messy [IMPLY] jittery [PERIOD]
sleepy [AND] embarrassed [IMPLY] messy [PERIOD]
messy [AND] naughty [IMPLY] embarrassed [PERIOD]
naughty [IMPLY] sleepy [PERIOD]
messy [IMPLY] embarrassed [PERIOD]
sleepy [AND] jittery [AND] reserved [IMPLY] naughty [PERIOD]
witty [AND] sleepy [IMPLY] naughty [PERIOD]
jittery [IMPLY] messy [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
   jittery ⇒ messy
   jittery ⇒ messy
   messy ⇒ embarrassed
   Cannot apply rule “messy ∧ embarrassed ∧ witty ⇒ reserved” because missing: witty.
   Cannot apply rule “jittery ∧ sleepy ⇒ reserved” because missing: sleepy.
   Cannot apply rule “naughty ⇒ reserved” because missing: naughty.
",0,6
"Facts:  Alice is troubled [PERIOD] Alice is outrageous [PERIOD] Alice is victorious [PERIOD] Alice is ambitious [PERIOD] Alice is impartial [PERIOD]
Rules:
rude [IMPLY] tame [PERIOD]
bossy [AND] messy [AND] supportive [IMPLY] tender [PERIOD]
clean [AND] excited [AND] smart [IMPLY] stormy [PERIOD]
excited [AND] impartial [AND] clean [IMPLY] stormy [PERIOD]
confident [AND] messy [AND] inquisitive [IMPLY] calm [PERIOD]
messy [AND] outrageous [AND] calm [IMPLY] combative [PERIOD]
calm [AND] smart [IMPLY] vivacious [PERIOD]
tender [AND] naughty [IMPLY] bossy [PERIOD]
stormy [AND] tame [AND] bossy [IMPLY] combative [PERIOD]
tame [IMPLY] combative [PERIOD]
vivacious [AND] smart [IMPLY] clean [PERIOD]
naughty [AND] impartial [IMPLY] worrisome [PERIOD]
tame [AND] bossy [AND] excited [IMPLY] combative [PERIOD]
worrisome [AND] messy [IMPLY] tame [PERIOD]
tender [AND] perfect [IMPLY] cooperative [PERIOD]
stormy [IMPLY] elegant [PERIOD]
combative [AND] clean [IMPLY] supportive [PERIOD]
victorious [IMPLY] worrisome [PERIOD]
confident [AND] vivacious [IMPLY] aggressive [PERIOD]
excited [AND] impartial [AND] smart [IMPLY] cooperative [PERIOD]
ambitious [IMPLY] confident [PERIOD]
stormy [AND] victorious [AND] busy [IMPLY] confident [PERIOD]
impartial [AND] stormy [IMPLY] messy [PERIOD]
calm [IMPLY] victorious [PERIOD]
bossy [AND] clean [AND] supportive [IMPLY] confident [PERIOD]
smart [AND] confident [IMPLY] rude [PERIOD]
stormy [AND] condemned [IMPLY] combative [PERIOD]
tender [IMPLY] vivacious [PERIOD]
impartial [AND] clean [AND] tender [IMPLY] messy [PERIOD]
supportive [AND] calm [IMPLY] excited [PERIOD]
vivacious [AND] elegant [AND] outrageous [IMPLY] tender [PERIOD]
worrisome [IMPLY] stormy [PERIOD]
naughty [IMPLY] perfect [PERIOD]
inquisitive [AND] messy [AND] rude [IMPLY] ambitious [PERIOD]
combative [AND] cooperative [IMPLY] bossy [PERIOD]
excited [AND] elegant [IMPLY] victorious [PERIOD]
busy [AND] calm [AND] inquisitive [IMPLY] worrisome [PERIOD]
troubled [AND] impartial [AND] aggressive [IMPLY] inquisitive [PERIOD]
aggressive [AND] condemned [AND] tame [IMPLY] cooperative [PERIOD]
tender [AND] tense [IMPLY] naughty [PERIOD]
impartial [AND] elegant [IMPLY] cooperative [PERIOD]
tame [AND] bossy [AND] busy [IMPLY] victorious [PERIOD]
victorious [AND] calm [IMPLY] vivacious [PERIOD]
troubled [AND] perfect [IMPLY] naughty [PERIOD]
vivacious [AND] perfect [AND] tender [IMPLY] messy [PERIOD]
naughty [AND] victorious [AND] cooperative [IMPLY] stormy [PERIOD]
worrisome [AND] troubled [IMPLY] messy [PERIOD]
aggressive [AND] messy [IMPLY] perfect [PERIOD]
naughty [IMPLY] messy [PERIOD]
cooperative [AND] inquisitive [IMPLY] impartial [PERIOD]
worrisome [AND] naughty [AND] vivacious [IMPLY] busy [PERIOD]
ambitious [IMPLY] tender [PERIOD]
confident [AND] elegant [IMPLY] worrisome [PERIOD]
elegant [AND] ambitious [AND] confident [IMPLY] stormy [PERIOD]
worrisome [AND] victorious [IMPLY] stormy [PERIOD]
excited [AND] outrageous [AND] bossy [IMPLY] clean [PERIOD]
troubled [AND] aggressive [AND] confident [IMPLY] excited [PERIOD]
excited [AND] victorious [IMPLY] messy [PERIOD]
rude [AND] messy [IMPLY] naughty [PERIOD]
tame [AND] stormy [AND] impartial [IMPLY] victorious [PERIOD]
combative [AND] calm [AND] perfect [IMPLY] clean [PERIOD]
elegant [AND] cooperative [AND] aggressive [IMPLY] tame [PERIOD]
worrisome [AND] vivacious [AND] supportive [IMPLY] busy [PERIOD]
impartial [AND] naughty [AND] aggressive [IMPLY] victorious [PERIOD]
outrageous [AND] perfect [IMPLY] excited [PERIOD]
elegant [AND] bossy [AND] calm [IMPLY] inquisitive [PERIOD]
excited [IMPLY] clean [PERIOD]
condemned [IMPLY] tender [PERIOD]
busy [AND] confident [AND] ambitious [IMPLY] impartial [PERIOD]
rude [AND] smart [IMPLY] calm [PERIOD]
elegant [AND] cooperative [AND] tame [IMPLY] rude [PERIOD]
impartial [IMPLY] tense [PERIOD]
busy [AND] excited [AND] rude [IMPLY] perfect [PERIOD]
troubled [IMPLY] inquisitive [PERIOD]
tender [AND] calm [IMPLY] impartial [PERIOD]
vivacious [AND] cooperative [IMPLY] tame [PERIOD]
smart [AND] outrageous [AND] combative [IMPLY] worrisome [PERIOD]
confident [AND] perfect [IMPLY] bossy [PERIOD]
elegant [AND] impartial [AND] outrageous [IMPLY] tense [PERIOD]
excited [IMPLY] elegant [PERIOD]
tame [IMPLY] condemned [PERIOD]
combative [AND] clean [IMPLY] naughty [PERIOD]
cooperative [AND] elegant [AND] vivacious [IMPLY] victorious [PERIOD]
vivacious [IMPLY] confident [PERIOD]
messy [AND] naughty [AND] smart [IMPLY] clean [PERIOD]
calm [IMPLY] inquisitive [PERIOD]
calm [AND] tame [IMPLY] impartial [PERIOD]
smart [AND] outrageous [IMPLY] troubled [PERIOD]
tame [AND] naughty [IMPLY] tender [PERIOD]
rude [AND] clean [AND] worrisome [IMPLY] impartial [PERIOD]
victorious [AND] elegant [IMPLY] busy [PERIOD]
ambitious [AND] worrisome [AND] tense [IMPLY] naughty [PERIOD]
tame [AND] inquisitive [AND] clean [IMPLY] confident [PERIOD]
tender [AND] aggressive [IMPLY] tame [PERIOD]
combative [AND] outrageous [IMPLY] tender [PERIOD]
combative [AND] condemned [IMPLY] aggressive [PERIOD]
combative [IMPLY] troubled [PERIOD]
busy [AND] perfect [AND] victorious [IMPLY] naughty [PERIOD]
ambitious [AND] troubled [AND] perfect [IMPLY] victorious [PERIOD]
tender [AND] inquisitive [IMPLY] rude [PERIOD]
Query: Alice is smart [PERIOD]","Proof chain:
   No rule concludes “smart.”
",0,1
"Facts:  Alice is agreeable [PERIOD] Alice is fancy [PERIOD] Alice is fine [PERIOD] Alice is supportive [PERIOD] Alice is outstanding [PERIOD] Alice is wide-eyed [PERIOD]
Rules:
thoughtful [AND] fancy [IMPLY] worrisome [PERIOD]
lucky [IMPLY] pleasant [PERIOD]
good [AND] lucky [AND] uptight [IMPLY] distinct [PERIOD]
worrisome [IMPLY] comfortable [PERIOD]
wide-eyed [AND] glamorous [AND] fine [IMPLY] fancy [PERIOD]
spotless [AND] mysterious [IMPLY] comfortable [PERIOD]
fancy [AND] bossy [IMPLY] supportive [PERIOD]
distinct [IMPLY] glamorous [PERIOD]
wide-eyed [AND] pleasant [AND] fine [IMPLY] lonely [PERIOD]
worrisome [AND] mysterious [AND] distinct [IMPLY] lonely [PERIOD]
outstanding [AND] uptight [AND] distinct [IMPLY] tired [PERIOD]
worrisome [IMPLY] fine [PERIOD]
mysterious [AND] different [AND] pleasant [IMPLY] spotless [PERIOD]
different [AND] worrisome [IMPLY] fancy [PERIOD]
pleasant [AND] spotless [AND] thoughtful [IMPLY] mysterious [PERIOD]
agreeable [IMPLY] bossy [PERIOD]
uptight [IMPLY] good [PERIOD]
supportive [IMPLY] lucky [PERIOD]
lucky [AND] thoughtful [IMPLY] spotless [PERIOD]
outstanding [IMPLY] fancy [PERIOD]
lonely [AND] fine [IMPLY] mysterious [PERIOD]
comfortable [IMPLY] fancy [PERIOD]
lonely [IMPLY] wide-eyed [PERIOD]
pleasant [IMPLY] fine [PERIOD]
lucky [AND] worrisome [IMPLY] supportive [PERIOD]
wide-eyed [AND] different [AND] uptight [IMPLY] lonely [PERIOD]
lonely [IMPLY] worrisome [PERIOD]
supportive [AND] fine [AND] distinct [IMPLY] mysterious [PERIOD]
spotless [IMPLY] fine [PERIOD]
good [AND] supportive [IMPLY] distinct [PERIOD]
agreeable [AND] fancy [IMPLY] lucky [PERIOD]
outstanding [AND] spotless [AND] worrisome [IMPLY] lonely [PERIOD]
supportive [AND] glamorous [AND] uptight [IMPLY] bossy [PERIOD]
distinct [AND] outstanding [IMPLY] supportive [PERIOD]
comfortable [AND] fancy [AND] outstanding [IMPLY] agreeable [PERIOD]
thoughtful [AND] different [IMPLY] spotless [PERIOD]
different [IMPLY] agreeable [PERIOD]
bossy [AND] lonely [IMPLY] glamorous [PERIOD]
glamorous [AND] wide-eyed [AND] outstanding [IMPLY] fine [PERIOD]
spotless [AND] agreeable [AND] thoughtful [IMPLY] mysterious [PERIOD]
mysterious [AND] fancy [IMPLY] glamorous [PERIOD]
fine [AND] agreeable [IMPLY] glamorous [PERIOD]
distinct [IMPLY] outstanding [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   agreeable ∧ fancy ⇒ lucky
   lucky ⇒ pleasant
   wide-eyed ∧ pleasant ∧ fine ⇒ lonely
   lonely ∧ fine ⇒ mysterious
",1,4
"Facts:  Alice is versatile [PERIOD] Alice is outrageous [PERIOD] Alice is intellectual [PERIOD] Alice is shiny [PERIOD] Alice is charming [PERIOD] Alice is beautiful [PERIOD] Alice is ugliest [PERIOD]
Rules:
foolish [AND] impartial [IMPLY] beautiful [PERIOD]
beautiful [AND] busy [IMPLY] impartial [PERIOD]
uptight [AND] foolish [IMPLY] charming [PERIOD]
impartial [AND] nervous [AND] strange [IMPLY] outrageous [PERIOD]
disobedient [AND] worrisome [IMPLY] intellectual [PERIOD]
nervous [AND] crowded [IMPLY] intellectual [PERIOD]
nervous [IMPLY] charming [PERIOD]
versatile [AND] strange [AND] disobedient [IMPLY] bright [PERIOD]
worrisome [AND] strange [AND] plain [IMPLY] uptight [PERIOD]
plain [IMPLY] busy [PERIOD]
shiny [IMPLY] busy [PERIOD]
plain [IMPLY] versatile [PERIOD]
shiny [AND] adorable [IMPLY] busy [PERIOD]
ugliest [IMPLY] shiny [PERIOD]
adorable [AND] worrisome [IMPLY] crowded [PERIOD]
adorable [AND] beautiful [IMPLY] bright [PERIOD]
ugliest [AND] plain [AND] charming [IMPLY] uptight [PERIOD]
busy [IMPLY] worrisome [PERIOD]
busy [AND] crowded [IMPLY] shiny [PERIOD]
plain [IMPLY] uptight [PERIOD]
adorable [AND] strange [AND] plain [IMPLY] ugliest [PERIOD]
uptight [AND] strange [IMPLY] outrageous [PERIOD]
ugliest [AND] adorable [AND] intellectual [IMPLY] strange [PERIOD]
crowded [IMPLY] beautiful [PERIOD]
versatile [AND] plain [IMPLY] beautiful [PERIOD]
disobedient [AND] versatile [AND] charming [IMPLY] beautiful [PERIOD]
foolish [AND] plain [AND] busy [IMPLY] disobedient [PERIOD]
strange [IMPLY] intellectual [PERIOD]
disobedient [AND] busy [AND] nervous [IMPLY] beautiful [PERIOD]
impartial [AND] nervous [IMPLY] intellectual [PERIOD]
plain [AND] strange [AND] nervous [IMPLY] outrageous [PERIOD]
charming [AND] nervous [IMPLY] ugliest [PERIOD]
charming [IMPLY] versatile [PERIOD]
ugliest [AND] charming [AND] nervous [IMPLY] foolish [PERIOD]
plain [AND] nervous [AND] bright [IMPLY] worrisome [PERIOD]
strange [AND] outrageous [AND] crowded [IMPLY] busy [PERIOD]
outrageous [AND] bright [IMPLY] ugliest [PERIOD]
beautiful [AND] strange [AND] adorable [IMPLY] busy [PERIOD]
uptight [IMPLY] bright [PERIOD]
ugliest [AND] disobedient [AND] nervous [IMPLY] beautiful [PERIOD]
versatile [AND] uptight [IMPLY] adorable [PERIOD]
versatile [IMPLY] strange [PERIOD]
nervous [AND] outrageous [IMPLY] worrisome [PERIOD]
adorable [AND] impartial [AND] shiny [IMPLY] strange [PERIOD]
plain [IMPLY] ugliest [PERIOD]
bright [AND] shiny [IMPLY] plain [PERIOD]
shiny [IMPLY] strange [PERIOD]
disobedient [AND] busy [AND] crowded [IMPLY] shiny [PERIOD]
impartial [AND] outrageous [AND] intellectual [IMPLY] versatile [PERIOD]
uptight [IMPLY] nervous [PERIOD]
ugliest [AND] adorable [AND] intellectual [IMPLY] shiny [PERIOD]
ugliest [IMPLY] adorable [PERIOD]
outrageous [IMPLY] busy [PERIOD]
beautiful [AND] adorable [IMPLY] shiny [PERIOD]
impartial [IMPLY] foolish [PERIOD]
shiny [AND] disobedient [IMPLY] nervous [PERIOD]
ugliest [AND] beautiful [AND] strange [IMPLY] charming [PERIOD]
nervous [IMPLY] beautiful [PERIOD]
disobedient [AND] worrisome [AND] uptight [IMPLY] versatile [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   outrageous ⇒ busy
   busy ⇒ worrisome
   shiny ⇒ strange
   ugliest ⇒ adorable
   adorable ∧ beautiful ⇒ bright
   bright ∧ shiny ⇒ plain
   worrisome ∧ strange ∧ plain ⇒ uptight
",1,7
"Facts:  Alice is troubled [PERIOD] Alice is tired [PERIOD]
Rules:
witty [AND] fine [AND] anxious [IMPLY] tired [PERIOD]
tired [AND] fine [AND] troubled [IMPLY] modern [PERIOD]
fine [IMPLY] troubled [PERIOD]
tame [AND] bossy [AND] modern [IMPLY] troubled [PERIOD]
modern [AND] intellectual [IMPLY] fine [PERIOD]
fine [AND] tired [IMPLY] tame [PERIOD]
troubled [IMPLY] fine [PERIOD]
tired [AND] modern [IMPLY] fine [PERIOD]
tame [AND] witty [IMPLY] troubled [PERIOD]
modern [AND] tired [AND] intellectual [IMPLY] worried [PERIOD]
witty [AND] worried [AND] bossy [IMPLY] glamorous [PERIOD]
anxious [IMPLY] bossy [PERIOD]
bossy [AND] glamorous [AND] intellectual [IMPLY] witty [PERIOD]
worried [AND] anxious [AND] tame [IMPLY] tired [PERIOD]
fine [IMPLY] witty [PERIOD]
tired [AND] glamorous [AND] worried [IMPLY] witty [PERIOD]
anxious [AND] tame [AND] intellectual [IMPLY] modern [PERIOD]
fine [AND] worried [IMPLY] bossy [PERIOD]
modern [AND] intellectual [AND] fine [IMPLY] anxious [PERIOD]
modern [AND] tame [IMPLY] tired [PERIOD]
fine [AND] tired [IMPLY] modern [PERIOD]
tired [IMPLY] tame [PERIOD]
tame [AND] anxious [AND] modern [IMPLY] bossy [PERIOD]
fine [IMPLY] glamorous [PERIOD]
witty [IMPLY] tired [PERIOD]
witty [IMPLY] anxious [PERIOD]
witty [IMPLY] bossy [PERIOD]
bossy [AND] fine [AND] anxious [IMPLY] glamorous [PERIOD]
bossy [AND] anxious [IMPLY] glamorous [PERIOD]
witty [AND] intellectual [AND] tired [IMPLY] glamorous [PERIOD]
worried [AND] troubled [AND] tired [IMPLY] glamorous [PERIOD]
tame [AND] troubled [IMPLY] intellectual [PERIOD]
anxious [AND] bossy [IMPLY] troubled [PERIOD]
worried [AND] modern [IMPLY] anxious [PERIOD]
anxious [IMPLY] glamorous [PERIOD]
tame [IMPLY] bossy [PERIOD]
anxious [AND] bossy [AND] fine [IMPLY] troubled [PERIOD]
worried [IMPLY] intellectual [PERIOD]
anxious [AND] bossy [AND] troubled [IMPLY] fine [PERIOD]
fine [AND] worried [IMPLY] troubled [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   troubled ⇒ fine
   tired ∧ fine ∧ troubled ⇒ modern
   tired ⇒ tame
   tame ∧ troubled ⇒ intellectual
   troubled ⇒ fine
   modern ∧ intellectual ∧ fine ⇒ anxious
",1,6
"Facts:  Alice is quaint [PERIOD] Alice is stormy [PERIOD] Alice is elated [PERIOD] Alice is smart [PERIOD] Alice is pessimistic [PERIOD] Alice is disgusted [PERIOD]
Rules:
smart [AND] careless [IMPLY] ugliest [PERIOD]
elated [AND] smart [AND] thoughtful [IMPLY] pessimistic [PERIOD]
sleepy [AND] confident [IMPLY] disgusted [PERIOD]
beautiful [AND] ugliest [IMPLY] homely [PERIOD]
elated [IMPLY] rational [PERIOD]
elated [AND] joyous [IMPLY] stormy [PERIOD]
disgusted [AND] thoughtless [AND] beautiful [IMPLY] distinct [PERIOD]
disgusted [AND] beautiful [IMPLY] curious [PERIOD]
rational [AND] pessimistic [IMPLY] curious [PERIOD]
curious [IMPLY] careless [PERIOD]
confident [AND] helpless [AND] smart [IMPLY] quaint [PERIOD]
disgusted [AND] joyous [IMPLY] helpless [PERIOD]
beautiful [AND] careless [AND] pessimistic [IMPLY] joyous [PERIOD]
homely [IMPLY] joyous [PERIOD]
smart [AND] quaint [AND] disgusted [IMPLY] distinct [PERIOD]
careless [AND] pessimistic [IMPLY] mean [PERIOD]
sleepy [AND] elated [AND] beautiful [IMPLY] old-fashioned [PERIOD]
stormy [IMPLY] smart [PERIOD]
joyous [AND] sleepy [AND] curious [IMPLY] thoughtful [PERIOD]
curious [AND] rational [AND] popular [IMPLY] thoughtless [PERIOD]
confident [AND] beautiful [IMPLY] rational [PERIOD]
quaint [IMPLY] smart [PERIOD]
ugliest [IMPLY] elated [PERIOD]
homely [IMPLY] ugliest [PERIOD]
popular [IMPLY] thoughtful [PERIOD]
sincere [AND] sleepy [AND] pessimistic [IMPLY] quaint [PERIOD]
popular [AND] curious [IMPLY] thoughtful [PERIOD]
joyous [AND] mean [AND] ugliest [IMPLY] distinct [PERIOD]
stormy [AND] sincere [IMPLY] homely [PERIOD]
joyous [IMPLY] curious [PERIOD]
rational [AND] sincere [AND] helpless [IMPLY] thoughtful [PERIOD]
sincere [AND] curious [AND] careless [IMPLY] beautiful [PERIOD]
thoughtful [AND] stormy [AND] quaint [IMPLY] elated [PERIOD]
smart [IMPLY] old-fashioned [PERIOD]
homely [IMPLY] popular [PERIOD]
rational [AND] careless [IMPLY] helpless [PERIOD]
rational [IMPLY] homely [PERIOD]
popular [AND] old-fashioned [IMPLY] distinct [PERIOD]
disgusted [IMPLY] ugliest [PERIOD]
quaint [AND] rational [AND] sincere [IMPLY] distinct [PERIOD]
homely [IMPLY] thoughtful [PERIOD]
mean [AND] stormy [IMPLY] helpless [PERIOD]
homely [IMPLY] quaint [PERIOD]
old-fashioned [AND] beautiful [IMPLY] rational [PERIOD]
distinct [AND] sleepy [AND] confident [IMPLY] curious [PERIOD]
curious [AND] elated [IMPLY] ugliest [PERIOD]
elated [IMPLY] confident [PERIOD]
sleepy [IMPLY] smart [PERIOD]
joyous [AND] distinct [AND] quaint [IMPLY] sincere [PERIOD]
pessimistic [IMPLY] disgusted [PERIOD]
quaint [AND] popular [AND] elated [IMPLY] stormy [PERIOD]
rational [IMPLY] stormy [PERIOD]
distinct [IMPLY] smart [PERIOD]
helpless [AND] stormy [AND] curious [IMPLY] thoughtless [PERIOD]
curious [AND] rational [IMPLY] distinct [PERIOD]
elated [IMPLY] helpless [PERIOD]
pessimistic [AND] curious [AND] thoughtful [IMPLY] careless [PERIOD]
mean [IMPLY] old-fashioned [PERIOD]
sincere [AND] pessimistic [IMPLY] distinct [PERIOD]
elated [AND] careless [AND] helpless [IMPLY] joyous [PERIOD]
mean [AND] quaint [AND] old-fashioned [IMPLY] disgusted [PERIOD]
careless [AND] stormy [IMPLY] popular [PERIOD]
confident [AND] thoughtless [IMPLY] thoughtful [PERIOD]
sincere [AND] distinct [IMPLY] smart [PERIOD]
disgusted [AND] popular [AND] old-fashioned [IMPLY] sleepy [PERIOD]
elated [AND] careless [AND] confident [IMPLY] rational [PERIOD]
sleepy [AND] ugliest [AND] popular [IMPLY] careless [PERIOD]
rational [AND] disgusted [IMPLY] popular [PERIOD]
quaint [AND] beautiful [AND] ugliest [IMPLY] mean [PERIOD]
homely [AND] smart [IMPLY] popular [PERIOD]
beautiful [IMPLY] smart [PERIOD]
disgusted [AND] thoughtful [AND] pessimistic [IMPLY] sincere [PERIOD]
homely [AND] thoughtful [IMPLY] popular [PERIOD]
helpless [AND] smart [AND] stormy [IMPLY] homely [PERIOD]
sleepy [AND] joyous [IMPLY] popular [PERIOD]
thoughtless [AND] disgusted [IMPLY] careless [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   elated ⇒ rational
   rational ∧ pessimistic ⇒ curious
   curious ⇒ careless
   careless ∧ pessimistic ⇒ mean
",1,4
"Facts:  Alice is rational [PERIOD] Alice is shy [PERIOD]
Rules:
glamorous [AND] shy [AND] troubled [IMPLY] light [PERIOD]
glamorous [AND] shy [IMPLY] tense [PERIOD]
glamorous [AND] troubled [IMPLY] disgusted [PERIOD]
aggressive [AND] charming [IMPLY] shy [PERIOD]
shy [AND] disgusted [AND] charming [IMPLY] aggressive [PERIOD]
light [AND] disgusted [AND] glamorous [IMPLY] rational [PERIOD]
troubled [IMPLY] aggressive [PERIOD]
light [AND] reserved [AND] rational [IMPLY] glamorous [PERIOD]
popular [IMPLY] charming [PERIOD]
tense [IMPLY] light [PERIOD]
charming [AND] tense [AND] rational [IMPLY] disgusted [PERIOD]
reserved [IMPLY] rational [PERIOD]
disgusted [IMPLY] aggressive [PERIOD]
tense [AND] troubled [AND] glamorous [IMPLY] light [PERIOD]
reserved [IMPLY] charming [PERIOD]
rational [AND] reserved [AND] tense [IMPLY] aggressive [PERIOD]
disgusted [AND] tense [AND] popular [IMPLY] glamorous [PERIOD]
troubled [AND] light [IMPLY] rational [PERIOD]
tense [AND] troubled [AND] reserved [IMPLY] shy [PERIOD]
shy [AND] charming [IMPLY] popular [PERIOD]
glamorous [IMPLY] aggressive [PERIOD]
charming [AND] troubled [AND] glamorous [IMPLY] disgusted [PERIOD]
glamorous [AND] disgusted [IMPLY] troubled [PERIOD]
rational [AND] glamorous [AND] disgusted [IMPLY] aggressive [PERIOD]
reserved [AND] popular [AND] disgusted [IMPLY] aggressive [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
   Cannot apply rule “shy ∧ disgusted ∧ charming ⇒ aggressive” because missing: disgusted, charming.
   Cannot apply rule “troubled ⇒ aggressive” because missing: troubled.
   Cannot apply rule “disgusted ⇒ aggressive” because missing: disgusted.
   Cannot apply rule “rational ∧ reserved ∧ tense ⇒ aggressive” because missing: reserved, tense.
   Cannot apply rule “glamorous ⇒ aggressive” because missing: glamorous.
   Cannot apply rule “rational ∧ glamorous ∧ disgusted ⇒ aggressive” because missing: glamorous, disgusted.
   Cannot apply rule “reserved ∧ popular ∧ disgusted ⇒ aggressive” because missing: reserved, popular, disgusted.
",0,7
"Facts: 
Rules:
elegant [AND] messy [IMPLY] easy [PERIOD]
shy [AND] elegant [IMPLY] easy [PERIOD]
elegant [AND] glamorous [AND] easy [IMPLY] shy [PERIOD]
elegant [AND] glamorous [AND] shy [IMPLY] easy [PERIOD]
easy [AND] glamorous [AND] messy [IMPLY] elegant [PERIOD]
glamorous [AND] shy [AND] elegant [IMPLY] messy [PERIOD]
easy [IMPLY] elegant [PERIOD]
easy [AND] glamorous [AND] elegant [IMPLY] messy [PERIOD]
easy [AND] messy [IMPLY] elegant [PERIOD]
easy [IMPLY] shy [PERIOD]
easy [AND] glamorous [IMPLY] shy [PERIOD]
shy [IMPLY] easy [PERIOD]
messy [AND] easy [AND] elegant [IMPLY] shy [PERIOD]
glamorous [AND] easy [IMPLY] messy [PERIOD]
shy [AND] elegant [AND] messy [IMPLY] easy [PERIOD]
easy [AND] shy [AND] glamorous [IMPLY] messy [PERIOD]
messy [IMPLY] elegant [PERIOD]
easy [IMPLY] glamorous [PERIOD]
messy [IMPLY] easy [PERIOD]
elegant [IMPLY] shy [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
   Cannot apply rule “elegant ∧ messy ⇒ easy” because missing: elegant, messy.
   Cannot apply rule “shy ∧ elegant ⇒ easy” because missing: shy, elegant.
   Cannot apply rule “elegant ∧ glamorous ∧ shy ⇒ easy” because missing: elegant, glamorous, shy.
   Cannot apply rule “shy ⇒ easy” because missing: shy.
   Cannot apply rule “shy ∧ elegant ∧ messy ⇒ easy” because missing: shy, elegant, messy.
   Cannot apply rule “messy ⇒ easy” because missing: messy.
",0,6
"Facts:  Alice is polite [PERIOD]
Rules:
curious [AND] rude [IMPLY] enchanting [PERIOD]
different [AND] polite [IMPLY] disobedient [PERIOD]
disobedient [AND] adorable [IMPLY] wandering [PERIOD]
disobedient [AND] different [IMPLY] enchanting [PERIOD]
adorable [AND] wandering [AND] stubborn [IMPLY] different [PERIOD]
disobedient [IMPLY] rude [PERIOD]
polite [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] enchanting [PERIOD]
disobedient [AND] adorable [IMPLY] different [PERIOD]
curious [AND] different [IMPLY] adorable [PERIOD]
polite [AND] wandering [IMPLY] adorable [PERIOD]
wandering [AND] rude [AND] different [IMPLY] enchanting [PERIOD]
different [AND] curious [IMPLY] rude [PERIOD]
stubborn [IMPLY] different [PERIOD]
curious [IMPLY] adorable [PERIOD]
polite [AND] rude [AND] different [IMPLY] adorable [PERIOD]
rude [IMPLY] enchanting [PERIOD]
different [AND] adorable [AND] stubborn [IMPLY] wandering [PERIOD]
different [AND] curious [AND] stubborn [IMPLY] adorable [PERIOD]
disobedient [AND] different [AND] stubborn [IMPLY] polite [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   polite ⇒ disobedient
   Cannot apply rule “disobedient ∧ adorable ⇒ wandering” because missing: adorable.
   Cannot apply rule “different ∧ adorable ∧ stubborn ⇒ wandering” because missing: different, adorable, stubborn.
",0,3
"Facts:  Alice is grumpy [PERIOD] Alice is pleasant [PERIOD] Alice is clumsy [PERIOD] Alice is lonely [PERIOD]
Rules:
impatient [AND] helpless [IMPLY] grumpy [PERIOD]
comfortable [IMPLY] witty [PERIOD]
wide-eyed [IMPLY] thoughtful [PERIOD]
tense [AND] spotless [AND] grumpy [IMPLY] troubled [PERIOD]
thoughtful [AND] grumpy [AND] joyous [IMPLY] elegant [PERIOD]
disgusted [AND] elegant [AND] wide-eyed [IMPLY] embarrassed [PERIOD]
gorgeous [IMPLY] comfortable [PERIOD]
impatient [IMPLY] fearless [PERIOD]
pleasant [AND] troubled [AND] alert [IMPLY] witty [PERIOD]
lonely [AND] wrong [AND] pleasant [IMPLY] alert [PERIOD]
witty [AND] alert [IMPLY] grumpy [PERIOD]
bored [AND] gorgeous [IMPLY] helpless [PERIOD]
grumpy [IMPLY] spotless [PERIOD]
troubled [AND] disgusted [AND] bored [IMPLY] clumsy [PERIOD]
adorable [AND] unpleasant [AND] distinct [IMPLY] troubled [PERIOD]
adorable [AND] tense [AND] embarrassed [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] helpless [PERIOD]
thoughtful [IMPLY] versatile [PERIOD]
embarrassed [AND] plain [IMPLY] proud [PERIOD]
inexpensive [AND] spotless [AND] clumsy [IMPLY] versatile [PERIOD]
grumpy [AND] weary [AND] tense [IMPLY] distinct [PERIOD]
tense [AND] thoughtful [AND] impatient [IMPLY] grumpy [PERIOD]
lonely [IMPLY] inexpensive [PERIOD]
distinct [AND] alert [IMPLY] tense [PERIOD]
unpleasant [AND] wide-eyed [AND] weary [IMPLY] adorable [PERIOD]
gorgeous [AND] joyous [IMPLY] thoughtful [PERIOD]
versatile [AND] comfortable [IMPLY] helpless [PERIOD]
pleasant [AND] alert [IMPLY] troubled [PERIOD]
wrong [AND] elegant [AND] weary [IMPLY] thoughtful [PERIOD]
proud [AND] distinct [AND] weary [IMPLY] impatient [PERIOD]
elegant [IMPLY] alert [PERIOD]
joyous [IMPLY] plain [PERIOD]
fearless [AND] embarrassed [AND] spotless [IMPLY] troubled [PERIOD]
bored [IMPLY] disgusted [PERIOD]
clumsy [AND] proud [AND] wide-eyed [IMPLY] unpleasant [PERIOD]
grumpy [IMPLY] adorable [PERIOD]
adorable [AND] impatient [AND] wrong [IMPLY] plain [PERIOD]
weary [IMPLY] wide-eyed [PERIOD]
elegant [AND] spotless [IMPLY] lonely [PERIOD]
elegant [IMPLY] wide-eyed [PERIOD]
lonely [AND] alert [AND] tense [IMPLY] wide-eyed [PERIOD]
clumsy [AND] lonely [IMPLY] disgusted [PERIOD]
unpleasant [IMPLY] wrong [PERIOD]
elegant [IMPLY] lonely [PERIOD]
fearless [AND] comfortable [AND] versatile [IMPLY] embarrassed [PERIOD]
plain [AND] versatile [IMPLY] impatient [PERIOD]
gorgeous [AND] wide-eyed [AND] bored [IMPLY] plain [PERIOD]
lonely [AND] inexpensive [AND] grumpy [IMPLY] witty [PERIOD]
embarrassed [AND] distinct [AND] tense [IMPLY] impatient [PERIOD]
joyous [AND] fearless [AND] bored [IMPLY] versatile [PERIOD]
comfortable [AND] weary [AND] witty [IMPLY] elegant [PERIOD]
plain [AND] wrong [AND] elegant [IMPLY] joyous [PERIOD]
helpless [AND] gorgeous [AND] inexpensive [IMPLY] joyous [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   lonely ⇒ inexpensive
   lonely ∧ inexpensive ∧ grumpy ⇒ witty
",1,2
"Facts:  Alice is silly [PERIOD] Alice is dull [PERIOD] Alice is average [PERIOD] Alice is shiny [PERIOD] Alice is jittery [PERIOD] Alice is embarrassed [PERIOD] Alice is quaint [PERIOD] Alice is tame [PERIOD] Alice is zealous [PERIOD] Alice is calm [PERIOD] Alice is lonely [PERIOD] Alice is agreeable [PERIOD] Alice is outrageous [PERIOD] Alice is confident [PERIOD] Alice is disobedient [PERIOD] Alice is smart [PERIOD] Alice is clean [PERIOD] Alice is popular [PERIOD] Alice is talented [PERIOD] Alice is distinct [PERIOD] Alice is mean [PERIOD] Alice is frantic [PERIOD] Alice is impatient [PERIOD] Alice is muddy [PERIOD] Alice is different [PERIOD]
Rules:
confident [IMPLY] silly [PERIOD]
talented [AND] popular [IMPLY] calm [PERIOD]
muddy [IMPLY] zealous [PERIOD]
embarrassed [IMPLY] sincere [PERIOD]
sincere [AND] outrageous [AND] mean [IMPLY] clean [PERIOD]
distinct [AND] quaint [IMPLY] muddy [PERIOD]
jittery [IMPLY] confident [PERIOD]
calm [AND] jittery [AND] quaint [IMPLY] silly [PERIOD]
agreeable [IMPLY] muddy [PERIOD]
foolish [AND] outrageous [IMPLY] silly [PERIOD]
embarrassed [AND] lonely [IMPLY] muddy [PERIOD]
zealous [AND] muddy [AND] sincere [IMPLY] impatient [PERIOD]
zealous [AND] different [AND] calm [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] clean [PERIOD]
popular [AND] confident [IMPLY] embarrassed [PERIOD]
disobedient [IMPLY] dull [PERIOD]
popular [AND] different [IMPLY] talented [PERIOD]
different [AND] frantic [AND] outrageous [IMPLY] talented [PERIOD]
sincere [AND] different [AND] outrageous [IMPLY] clean [PERIOD]
confident [IMPLY] calm [PERIOD]
foolish [AND] embarrassed [IMPLY] smart [PERIOD]
impatient [AND] foolish [AND] distinct [IMPLY] talented [PERIOD]
different [AND] clean [AND] dull [IMPLY] muddy [PERIOD]
quaint [AND] disobedient [IMPLY] smart [PERIOD]
calm [AND] distinct [AND] outrageous [IMPLY] clean [PERIOD]
jittery [IMPLY] zealous [PERIOD]
sincere [AND] frantic [AND] outrageous [IMPLY] confident [PERIOD]
different [IMPLY] confident [PERIOD]
confident [AND] average [IMPLY] agreeable [PERIOD]
confident [IMPLY] distinct [PERIOD]
impatient [AND] embarrassed [AND] muddy [IMPLY] jittery [PERIOD]
embarrassed [AND] talented [AND] popular [IMPLY] tame [PERIOD]
foolish [AND] distinct [AND] sincere [IMPLY] lonely [PERIOD]
confident [AND] quaint [IMPLY] muddy [PERIOD]
average [AND] sincere [AND] zealous [IMPLY] foolish [PERIOD]
foolish [AND] lonely [AND] talented [IMPLY] embarrassed [PERIOD]
jittery [IMPLY] different [PERIOD]
mean [AND] muddy [AND] popular [IMPLY] impatient [PERIOD]
different [IMPLY] calm [PERIOD]
calm [AND] outrageous [AND] quaint [IMPLY] jittery [PERIOD]
talented [IMPLY] confident [PERIOD]
sincere [IMPLY] muddy [PERIOD]
embarrassed [AND] different [IMPLY] calm [PERIOD]
muddy [AND] agreeable [IMPLY] outrageous [PERIOD]
embarrassed [AND] calm [IMPLY] silly [PERIOD]
popular [IMPLY] quaint [PERIOD]
disobedient [AND] popular [AND] quaint [IMPLY] embarrassed [PERIOD]
zealous [AND] calm [AND] shiny [IMPLY] muddy [PERIOD]
muddy [IMPLY] mean [PERIOD]
tame [AND] frantic [AND] talented [IMPLY] disobedient [PERIOD]
calm [IMPLY] dull [PERIOD]
popular [AND] silly [IMPLY] mean [PERIOD]
outrageous [AND] shiny [AND] clean [IMPLY] smart [PERIOD]
smart [AND] confident [IMPLY] quaint [PERIOD]
shiny [IMPLY] muddy [PERIOD]
disobedient [AND] lonely [IMPLY] clean [PERIOD]
impatient [IMPLY] foolish [PERIOD]
quaint [AND] mean [IMPLY] muddy [PERIOD]
mean [AND] popular [IMPLY] sincere [PERIOD]
distinct [AND] frantic [IMPLY] jittery [PERIOD]
average [AND] quaint [IMPLY] silly [PERIOD]
jittery [IMPLY] calm [PERIOD]
frantic [AND] outrageous [IMPLY] silly [PERIOD]
muddy [AND] talented [AND] mean [IMPLY] embarrassed [PERIOD]
calm [AND] embarrassed [IMPLY] popular [PERIOD]
talented [IMPLY] lonely [PERIOD]
confident [AND] agreeable [AND] quaint [IMPLY] foolish [PERIOD]
dull [AND] distinct [AND] muddy [IMPLY] jittery [PERIOD]
popular [AND] distinct [IMPLY] tame [PERIOD]
mean [AND] sincere [IMPLY] jittery [PERIOD]
smart [AND] foolish [IMPLY] mean [PERIOD]
frantic [IMPLY] average [PERIOD]
shiny [IMPLY] quaint [PERIOD]
confident [AND] disobedient [IMPLY] impatient [PERIOD]
disobedient [AND] agreeable [IMPLY] popular [PERIOD]
smart [IMPLY] zealous [PERIOD]
jittery [IMPLY] lonely [PERIOD]
sincere [AND] mean [IMPLY] embarrassed [PERIOD]
popular [AND] foolish [IMPLY] shiny [PERIOD]
sincere [AND] confident [IMPLY] agreeable [PERIOD]
confident [IMPLY] talented [PERIOD]
foolish [AND] shiny [IMPLY] frantic [PERIOD]
talented [AND] clean [IMPLY] muddy [PERIOD]
zealous [IMPLY] muddy [PERIOD]
lonely [IMPLY] frantic [PERIOD]
disobedient [AND] smart [AND] popular [IMPLY] calm [PERIOD]
smart [AND] outrageous [AND] foolish [IMPLY] talented [PERIOD]
muddy [AND] talented [AND] sincere [IMPLY] agreeable [PERIOD]
shiny [AND] impatient [AND] disobedient [IMPLY] lonely [PERIOD]
muddy [IMPLY] embarrassed [PERIOD]
tame [IMPLY] agreeable [PERIOD]
calm [IMPLY] agreeable [PERIOD]
confident [AND] agreeable [IMPLY] mean [PERIOD]
mean [AND] calm [AND] quaint [IMPLY] zealous [PERIOD]
agreeable [IMPLY] impatient [PERIOD]
foolish [AND] zealous [AND] silly [IMPLY] smart [PERIOD]
embarrassed [AND] frantic [IMPLY] outrageous [PERIOD]
shiny [AND] calm [IMPLY] outrageous [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is charming [PERIOD]
Rules:
disgusted [AND] sincere [IMPLY] messy [PERIOD]
lucky [IMPLY] wide-eyed [PERIOD]
charming [AND] straightforward [AND] difficult [IMPLY] witty [PERIOD]
good [AND] curious [AND] charming [IMPLY] hilarious [PERIOD]
jittery [IMPLY] curious [PERIOD]
alert [IMPLY] lucky [PERIOD]
worried [AND] sincere [IMPLY] smart [PERIOD]
inquisitive [AND] sincere [IMPLY] nervous [PERIOD]
embarrassed [AND] popular [AND] good [IMPLY] fine [PERIOD]
bright [AND] worried [IMPLY] mysterious [PERIOD]
worried [IMPLY] witty [PERIOD]
mysterious [AND] lucky [AND] fine [IMPLY] witty [PERIOD]
alert [AND] cooperative [IMPLY] sincere [PERIOD]
inquisitive [IMPLY] straightforward [PERIOD]
good [IMPLY] sincere [PERIOD]
good [AND] popular [IMPLY] nervous [PERIOD]
wide-eyed [IMPLY] talkative [PERIOD]
embarrassed [IMPLY] alert [PERIOD]
charming [AND] talkative [IMPLY] lucky [PERIOD]
sincere [AND] alert [IMPLY] difficult [PERIOD]
fine [AND] messy [AND] hilarious [IMPLY] cooperative [PERIOD]
worried [AND] witty [AND] hilarious [IMPLY] charming [PERIOD]
witty [AND] curious [IMPLY] difficult [PERIOD]
sincere [IMPLY] wide-eyed [PERIOD]
inquisitive [AND] jittery [AND] witty [IMPLY] worried [PERIOD]
difficult [AND] nervous [IMPLY] lucky [PERIOD]
smart [AND] lucky [AND] good [IMPLY] wide-eyed [PERIOD]
witty [IMPLY] worried [PERIOD]
cooperative [AND] messy [AND] bright [IMPLY] sincere [PERIOD]
good [AND] curious [IMPLY] charming [PERIOD]
wide-eyed [AND] nervous [AND] worried [IMPLY] embarrassed [PERIOD]
mysterious [IMPLY] inquisitive [PERIOD]
jittery [AND] disgusted [AND] straightforward [IMPLY] cooperative [PERIOD]
disgusted [AND] mysterious [IMPLY] jittery [PERIOD]
good [AND] curious [AND] jittery [IMPLY] nervous [PERIOD]
cooperative [IMPLY] lucky [PERIOD]
messy [AND] popular [IMPLY] good [PERIOD]
wide-eyed [IMPLY] hilarious [PERIOD]
bright [IMPLY] hilarious [PERIOD]
good [AND] mysterious [IMPLY] talkative [PERIOD]
worried [AND] bright [AND] hilarious [IMPLY] messy [PERIOD]
embarrassed [IMPLY] messy [PERIOD]
sincere [AND] worried [AND] hilarious [IMPLY] difficult [PERIOD]
difficult [IMPLY] witty [PERIOD]
hilarious [IMPLY] charming [PERIOD]
popular [AND] talkative [AND] straightforward [IMPLY] curious [PERIOD]
inquisitive [IMPLY] worried [PERIOD]
difficult [IMPLY] alert [PERIOD]
messy [AND] inquisitive [IMPLY] straightforward [PERIOD]
popular [AND] embarrassed [IMPLY] fine [PERIOD]
worried [AND] smart [IMPLY] inquisitive [PERIOD]
fine [IMPLY] bright [PERIOD]
nervous [AND] jittery [IMPLY] worried [PERIOD]
lucky [AND] curious [IMPLY] talkative [PERIOD]
popular [IMPLY] curious [PERIOD]
worried [AND] disgusted [AND] charming [IMPLY] wide-eyed [PERIOD]
popular [AND] hilarious [AND] mysterious [IMPLY] inquisitive [PERIOD]
good [IMPLY] fine [PERIOD]
witty [AND] fine [IMPLY] good [PERIOD]
inquisitive [AND] witty [AND] charming [IMPLY] mysterious [PERIOD]
worried [AND] lucky [IMPLY] jittery [PERIOD]
disgusted [AND] straightforward [IMPLY] fine [PERIOD]
straightforward [AND] good [AND] messy [IMPLY] talkative [PERIOD]
sincere [IMPLY] disgusted [PERIOD]
nervous [IMPLY] curious [PERIOD]
mysterious [IMPLY] cooperative [PERIOD]
inquisitive [AND] jittery [IMPLY] difficult [PERIOD]
good [IMPLY] mysterious [PERIOD]
smart [AND] mysterious [IMPLY] straightforward [PERIOD]
popular [AND] talkative [AND] fine [IMPLY] good [PERIOD]
wide-eyed [AND] charming [AND] lucky [IMPLY] jittery [PERIOD]
mysterious [AND] smart [AND] alert [IMPLY] disgusted [PERIOD]
hilarious [AND] sincere [AND] lucky [IMPLY] jittery [PERIOD]
difficult [IMPLY] fine [PERIOD]
disgusted [IMPLY] lucky [PERIOD]
curious [IMPLY] mysterious [PERIOD]
worried [AND] lucky [AND] talkative [IMPLY] cooperative [PERIOD]
fine [AND] messy [IMPLY] nervous [PERIOD]
sincere [IMPLY] charming [PERIOD]
bright [IMPLY] straightforward [PERIOD]
jittery [AND] disgusted [IMPLY] embarrassed [PERIOD]
jittery [AND] embarrassed [AND] lucky [IMPLY] difficult [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “wide-eyed ⇒ talkative” because missing: wide-eyed.
   Cannot apply rule “good ∧ mysterious ⇒ talkative” because missing: good, mysterious.
   Cannot apply rule “lucky ∧ curious ⇒ talkative” because missing: lucky, curious.
   Cannot apply rule “straightforward ∧ good ∧ messy ⇒ talkative” because missing: straightforward, good, messy.
",0,4
"Facts: 
Rules:
calm [AND] distinct [IMPLY] blushing [PERIOD]
distinct [IMPLY] outrageous [PERIOD]
vivacious [AND] stubborn [IMPLY] old-fashioned [PERIOD]
smart [AND] messy [IMPLY] old-fashioned [PERIOD]
friendly [AND] outrageous [AND] courageous [IMPLY] calm [PERIOD]
blushing [AND] old-fashioned [AND] calm [IMPLY] sleepy [PERIOD]
foolish [AND] messy [IMPLY] friendly [PERIOD]
spotless [AND] outrageous [IMPLY] stubborn [PERIOD]
smart [AND] vivacious [IMPLY] confused [PERIOD]
helpful [AND] bossy [IMPLY] confused [PERIOD]
stubborn [AND] confused [AND] vivacious [IMPLY] smart [PERIOD]
fine [IMPLY] distinct [PERIOD]
tame [AND] calm [AND] courageous [IMPLY] spotless [PERIOD]
friendly [AND] smart [IMPLY] stubborn [PERIOD]
uptight [AND] bossy [AND] distinct [IMPLY] smart [PERIOD]
friendly [AND] outrageous [AND] fine [IMPLY] stubborn [PERIOD]
wrong [AND] distinct [AND] tame [IMPLY] bossy [PERIOD]
confused [AND] old-fashioned [IMPLY] fine [PERIOD]
courageous [AND] old-fashioned [AND] calm [IMPLY] fine [PERIOD]
old-fashioned [IMPLY] messy [PERIOD]
blushing [AND] spotless [IMPLY] wrong [PERIOD]
blushing [AND] vivacious [AND] bossy [IMPLY] ugly [PERIOD]
messy [AND] friendly [IMPLY] uptight [PERIOD]
smart [AND] vivacious [IMPLY] careless [PERIOD]
tame [AND] fine [IMPLY] foolish [PERIOD]
ugly [AND] uptight [AND] calm [IMPLY] bossy [PERIOD]
careless [IMPLY] stubborn [PERIOD]
spotless [AND] stubborn [AND] uptight [IMPLY] sleepy [PERIOD]
spotless [AND] ugly [AND] foolish [IMPLY] innocent [PERIOD]
bossy [IMPLY] confused [PERIOD]
vivacious [AND] outrageous [IMPLY] bossy [PERIOD]
outrageous [IMPLY] friendly [PERIOD]
smart [AND] wrong [IMPLY] helpful [PERIOD]
foolish [AND] old-fashioned [AND] smart [IMPLY] blushing [PERIOD]
calm [AND] helpful [IMPLY] friendly [PERIOD]
confused [AND] uptight [IMPLY] outrageous [PERIOD]
blushing [AND] ugly [AND] distinct [IMPLY] bossy [PERIOD]
ugly [AND] smart [AND] fine [IMPLY] uptight [PERIOD]
innocent [IMPLY] outrageous [PERIOD]
distinct [IMPLY] sleepy [PERIOD]
careless [AND] innocent [AND] uptight [IMPLY] confused [PERIOD]
careless [AND] spotless [IMPLY] wrong [PERIOD]
wrong [AND] spotless [AND] messy [IMPLY] helpful [PERIOD]
stubborn [AND] helpful [AND] courageous [IMPLY] distinct [PERIOD]
calm [IMPLY] blushing [PERIOD]
sleepy [AND] courageous [AND] calm [IMPLY] innocent [PERIOD]
tame [IMPLY] messy [PERIOD]
stubborn [IMPLY] tame [PERIOD]
confused [AND] helpful [IMPLY] fine [PERIOD]
stubborn [IMPLY] outrageous [PERIOD]
friendly [AND] helpful [AND] stubborn [IMPLY] tame [PERIOD]
old-fashioned [AND] wrong [AND] courageous [IMPLY] distinct [PERIOD]
distinct [IMPLY] uptight [PERIOD]
tame [AND] fine [AND] confused [IMPLY] stubborn [PERIOD]
calm [AND] ugly [AND] careless [IMPLY] wrong [PERIOD]
fine [AND] courageous [IMPLY] calm [PERIOD]
fine [IMPLY] calm [PERIOD]
uptight [IMPLY] helpful [PERIOD]
smart [IMPLY] calm [PERIOD]
uptight [AND] careless [IMPLY] sleepy [PERIOD]
innocent [AND] foolish [IMPLY] wrong [PERIOD]
friendly [IMPLY] careless [PERIOD]
uptight [AND] old-fashioned [AND] tame [IMPLY] foolish [PERIOD]
bossy [IMPLY] vivacious [PERIOD]
sleepy [IMPLY] helpful [PERIOD]
calm [AND] friendly [AND] careless [IMPLY] bossy [PERIOD]
bossy [AND] careless [IMPLY] innocent [PERIOD]
confused [IMPLY] vivacious [PERIOD]
distinct [IMPLY] bossy [PERIOD]
uptight [IMPLY] distinct [PERIOD]
uptight [AND] foolish [IMPLY] sleepy [PERIOD]
vivacious [IMPLY] old-fashioned [PERIOD]
calm [IMPLY] old-fashioned [PERIOD]
smart [IMPLY] messy [PERIOD]
uptight [AND] spotless [AND] blushing [IMPLY] fine [PERIOD]
wrong [IMPLY] confused [PERIOD]
helpful [IMPLY] blushing [PERIOD]
vivacious [AND] innocent [AND] smart [IMPLY] wrong [PERIOD]
distinct [AND] old-fashioned [AND] sleepy [IMPLY] outrageous [PERIOD]
friendly [IMPLY] ugly [PERIOD]
courageous [AND] fine [IMPLY] stubborn [PERIOD]
old-fashioned [AND] outrageous [IMPLY] uptight [PERIOD]
vivacious [AND] careless [AND] helpful [IMPLY] messy [PERIOD]
stubborn [AND] helpful [AND] wrong [IMPLY] old-fashioned [PERIOD]
sleepy [IMPLY] ugly [PERIOD]
tame [AND] bossy [AND] foolish [IMPLY] outrageous [PERIOD]
outrageous [AND] messy [IMPLY] fine [PERIOD]
messy [AND] courageous [IMPLY] friendly [PERIOD]
outrageous [AND] blushing [AND] confused [IMPLY] courageous [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   Cannot apply rule “bossy ⇒ vivacious” because missing: bossy.
   Cannot apply rule “confused ⇒ vivacious” because missing: confused.
",0,2
"Facts:  Alice is old-fashioned [PERIOD] Alice is charming [PERIOD] Alice is stormy [PERIOD] Alice is reserved [PERIOD]
Rules:
proud [IMPLY] old-fashioned [PERIOD]
victorious [IMPLY] old-fashioned [PERIOD]
proud [AND] lucky [AND] wide-eyed [IMPLY] worried [PERIOD]
old-fashioned [AND] wide-eyed [AND] lucky [IMPLY] charming [PERIOD]
wide-eyed [IMPLY] victorious [PERIOD]
proud [AND] stormy [IMPLY] wide-eyed [PERIOD]
victorious [AND] worried [AND] lucky [IMPLY] wide-eyed [PERIOD]
rude [IMPLY] stormy [PERIOD]
victorious [AND] wide-eyed [IMPLY] charming [PERIOD]
wide-eyed [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] proud [IMPLY] lucky [PERIOD]
old-fashioned [AND] reserved [IMPLY] rude [PERIOD]
charming [AND] wide-eyed [AND] stormy [IMPLY] old-fashioned [PERIOD]
rude [IMPLY] reserved [PERIOD]
foolish [IMPLY] worried [PERIOD]
wide-eyed [AND] victorious [IMPLY] lucky [PERIOD]
lucky [IMPLY] foolish [PERIOD]
foolish [AND] old-fashioned [IMPLY] stormy [PERIOD]
worried [AND] reserved [IMPLY] charming [PERIOD]
old-fashioned [IMPLY] foolish [PERIOD]
proud [IMPLY] foolish [PERIOD]
lucky [AND] proud [IMPLY] worried [PERIOD]
proud [AND] victorious [AND] worried [IMPLY] rude [PERIOD]
stormy [AND] reserved [IMPLY] lucky [PERIOD]
old-fashioned [AND] stormy [AND] proud [IMPLY] reserved [PERIOD]
stormy [AND] victorious [AND] old-fashioned [IMPLY] wide-eyed [PERIOD]
reserved [IMPLY] rude [PERIOD]
victorious [AND] charming [AND] lucky [IMPLY] worried [PERIOD]
foolish [AND] stormy [IMPLY] proud [PERIOD]
wide-eyed [AND] rude [AND] old-fashioned [IMPLY] charming [PERIOD]
victorious [AND] charming [IMPLY] stormy [PERIOD]
old-fashioned [IMPLY] rude [PERIOD]
victorious [AND] proud [AND] worried [IMPLY] charming [PERIOD]
lucky [AND] charming [IMPLY] worried [PERIOD]
worried [AND] wide-eyed [IMPLY] stormy [PERIOD]
reserved [AND] worried [AND] victorious [IMPLY] lucky [PERIOD]
reserved [AND] charming [AND] stormy [IMPLY] victorious [PERIOD]
stormy [AND] victorious [AND] reserved [IMPLY] wide-eyed [PERIOD]
Query: Alice is proud [PERIOD]","Proof chain:
   old-fashioned ⇒ foolish
   foolish ∧ stormy ⇒ proud
",1,2
"Facts:  Alice is easy [PERIOD] Alice is joyous [PERIOD] Alice is fine [PERIOD] Alice is long [PERIOD] Alice is clean [PERIOD] Alice is busy [PERIOD] Alice is helpful [PERIOD] Alice is bored [PERIOD] Alice is messy [PERIOD]
Rules:
sensible [AND] outstanding [AND] easy [IMPLY] scared [PERIOD]
easy [IMPLY] helpful [PERIOD]
fancy [IMPLY] combative [PERIOD]
busy [IMPLY] bored [PERIOD]
glamorous [AND] quaint [IMPLY] reserved [PERIOD]
confident [AND] quaint [IMPLY] fancy [PERIOD]
fancy [IMPLY] easy [PERIOD]
clean [AND] quaint [IMPLY] outstanding [PERIOD]
confident [AND] messy [IMPLY] combative [PERIOD]
confident [AND] combative [IMPLY] long [PERIOD]
fancy [AND] long [AND] outstanding [IMPLY] naughty [PERIOD]
clean [IMPLY] joyous [PERIOD]
long [AND] clean [IMPLY] messy [PERIOD]
sensible [IMPLY] quaint [PERIOD]
glamorous [IMPLY] messy [PERIOD]
confident [IMPLY] glamorous [PERIOD]
quaint [AND] joyous [AND] glamorous [IMPLY] long [PERIOD]
long [AND] bored [AND] scared [IMPLY] fancy [PERIOD]
combative [AND] messy [IMPLY] easy [PERIOD]
long [AND] clean [AND] easy [IMPLY] fine [PERIOD]
long [IMPLY] easy [PERIOD]
confident [AND] clean [IMPLY] scared [PERIOD]
glamorous [IMPLY] long [PERIOD]
joyous [IMPLY] naughty [PERIOD]
messy [IMPLY] helpful [PERIOD]
glamorous [AND] easy [AND] scared [IMPLY] clean [PERIOD]
clean [IMPLY] fine [PERIOD]
quaint [AND] busy [IMPLY] combative [PERIOD]
messy [IMPLY] naughty [PERIOD]
outstanding [IMPLY] sensible [PERIOD]
helpful [AND] fine [AND] easy [IMPLY] naughty [PERIOD]
quaint [AND] fancy [IMPLY] easy [PERIOD]
quaint [AND] bored [IMPLY] easy [PERIOD]
glamorous [AND] fancy [IMPLY] sensible [PERIOD]
reserved [IMPLY] sensible [PERIOD]
naughty [IMPLY] fine [PERIOD]
outstanding [AND] combative [IMPLY] fancy [PERIOD]
bored [IMPLY] combative [PERIOD]
sensible [IMPLY] long [PERIOD]
busy [AND] bored [IMPLY] outstanding [PERIOD]
helpful [AND] fancy [AND] sensible [IMPLY] confident [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   busy ∧ bored ⇒ outstanding
   bored ⇒ combative
   outstanding ∧ combative ⇒ fancy
   busy ∧ bored ⇒ outstanding
   outstanding ⇒ sensible
   helpful ∧ fancy ∧ sensible ⇒ confident
   confident ⇒ glamorous
",1,7
"Facts:  Alice is straightforward [PERIOD] Alice is naughty [PERIOD] Alice is comfortable [PERIOD] Alice is calm [PERIOD] Alice is quaint [PERIOD] Alice is inexpensive [PERIOD] Alice is fearless [PERIOD] Alice is mysterious [PERIOD] Alice is frail [PERIOD] Alice is scared [PERIOD] Alice is sincere [PERIOD] Alice is serious [PERIOD] Alice is combative [PERIOD] Alice is horrible [PERIOD] Alice is blushing [PERIOD] Alice is perfect [PERIOD] Alice is wide-eyed [PERIOD] Alice is foolish [PERIOD] Alice is disgusted [PERIOD] Alice is fancy [PERIOD] Alice is selfish [PERIOD] Alice is weary [PERIOD] Alice is wandering [PERIOD] Alice is spotless [PERIOD]
Rules:
dishonest [IMPLY] wide-eyed [PERIOD]
horrible [AND] naughty [IMPLY] straightforward [PERIOD]
inexpensive [IMPLY] wide-eyed [PERIOD]
wandering [AND] scared [IMPLY] dishonest [PERIOD]
spotless [AND] mysterious [AND] fancy [IMPLY] sincere [PERIOD]
calm [AND] quaint [AND] horrible [IMPLY] mysterious [PERIOD]
horrible [IMPLY] spotless [PERIOD]
dishonest [IMPLY] straightforward [PERIOD]
scared [AND] disgusted [IMPLY] quaint [PERIOD]
horrible [AND] scared [IMPLY] wide-eyed [PERIOD]
calm [AND] dishonest [AND] wandering [IMPLY] fancy [PERIOD]
mysterious [AND] disgusted [AND] quaint [IMPLY] wandering [PERIOD]
quaint [IMPLY] inexpensive [PERIOD]
wide-eyed [IMPLY] dishonest [PERIOD]
calm [AND] mysterious [IMPLY] straightforward [PERIOD]
quaint [AND] calm [AND] disgusted [IMPLY] wide-eyed [PERIOD]
frail [AND] calm [AND] fearless [IMPLY] blushing [PERIOD]
comfortable [AND] sincere [IMPLY] naughty [PERIOD]
wandering [IMPLY] frail [PERIOD]
combative [AND] straightforward [IMPLY] frail [PERIOD]
serious [IMPLY] selfish [PERIOD]
wandering [AND] selfish [IMPLY] straightforward [PERIOD]
horrible [AND] quaint [AND] combative [IMPLY] sincere [PERIOD]
horrible [AND] serious [IMPLY] disgusted [PERIOD]
horrible [AND] wide-eyed [AND] fearless [IMPLY] selfish [PERIOD]
sincere [AND] frail [IMPLY] weary [PERIOD]
mysterious [IMPLY] blushing [PERIOD]
serious [AND] frail [IMPLY] blushing [PERIOD]
quaint [AND] spotless [IMPLY] disgusted [PERIOD]
calm [IMPLY] fearless [PERIOD]
mysterious [AND] disgusted [IMPLY] horrible [PERIOD]
fearless [IMPLY] quaint [PERIOD]
spotless [IMPLY] perfect [PERIOD]
perfect [AND] fancy [AND] inexpensive [IMPLY] horrible [PERIOD]
calm [AND] disgusted [IMPLY] selfish [PERIOD]
spotless [IMPLY] straightforward [PERIOD]
fearless [AND] straightforward [IMPLY] combative [PERIOD]
fancy [IMPLY] fearless [PERIOD]
quaint [AND] sincere [AND] serious [IMPLY] horrible [PERIOD]
serious [AND] horrible [AND] naughty [IMPLY] fancy [PERIOD]
spotless [IMPLY] mysterious [PERIOD]
frail [IMPLY] foolish [PERIOD]
calm [IMPLY] wandering [PERIOD]
spotless [AND] weary [AND] quaint [IMPLY] blushing [PERIOD]
mysterious [IMPLY] dishonest [PERIOD]
blushing [AND] fearless [AND] scared [IMPLY] frail [PERIOD]
frail [IMPLY] mysterious [PERIOD]
blushing [AND] sincere [IMPLY] perfect [PERIOD]
selfish [IMPLY] blushing [PERIOD]
foolish [AND] perfect [IMPLY] frail [PERIOD]
perfect [IMPLY] disgusted [PERIOD]
combative [AND] inexpensive [AND] scared [IMPLY] selfish [PERIOD]
combative [IMPLY] fancy [PERIOD]
fearless [AND] naughty [AND] quaint [IMPLY] wandering [PERIOD]
comfortable [AND] quaint [AND] wandering [IMPLY] spotless [PERIOD]
fearless [AND] wide-eyed [IMPLY] comfortable [PERIOD]
wandering [IMPLY] perfect [PERIOD]
quaint [AND] serious [AND] straightforward [IMPLY] calm [PERIOD]
fearless [AND] calm [IMPLY] combative [PERIOD]
inexpensive [AND] scared [IMPLY] naughty [PERIOD]
frail [AND] wide-eyed [IMPLY] fearless [PERIOD]
spotless [AND] dishonest [AND] wandering [IMPLY] blushing [PERIOD]
quaint [AND] fearless [IMPLY] serious [PERIOD]
spotless [AND] dishonest [AND] fancy [IMPLY] quaint [PERIOD]
straightforward [IMPLY] disgusted [PERIOD]
serious [AND] fearless [AND] calm [IMPLY] disgusted [PERIOD]
selfish [IMPLY] frail [PERIOD]
disgusted [IMPLY] serious [PERIOD]
comfortable [IMPLY] serious [PERIOD]
selfish [AND] serious [AND] weary [IMPLY] disgusted [PERIOD]
combative [AND] spotless [AND] dishonest [IMPLY] wide-eyed [PERIOD]
blushing [AND] foolish [IMPLY] inexpensive [PERIOD]
weary [AND] frail [AND] scared [IMPLY] disgusted [PERIOD]
frail [AND] spotless [AND] selfish [IMPLY] mysterious [PERIOD]
serious [AND] foolish [IMPLY] selfish [PERIOD]
selfish [AND] scared [IMPLY] dishonest [PERIOD]
selfish [AND] wide-eyed [AND] wandering [IMPLY] horrible [PERIOD]
blushing [AND] fancy [IMPLY] naughty [PERIOD]
selfish [IMPLY] horrible [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is messy [PERIOD] Alice is foolish [PERIOD]
Rules:
talkative [IMPLY] bossy [PERIOD]
tame [AND] horrible [IMPLY] condemned [PERIOD]
tame [AND] mean [IMPLY] foolish [PERIOD]
difficult [AND] gorgeous [IMPLY] loving [PERIOD]
foolish [AND] outrageous [IMPLY] wrong [PERIOD]
cruel [AND] wrong [IMPLY] stupid [PERIOD]
stupid [AND] scared [AND] frantic [IMPLY] loving [PERIOD]
disobedient [IMPLY] cruel [PERIOD]
scared [IMPLY] wrong [PERIOD]
friendly [AND] stubborn [AND] bossy [IMPLY] frantic [PERIOD]
messy [AND] ambitious [AND] homely [IMPLY] friendly [PERIOD]
wrong [AND] loving [AND] homely [IMPLY] tame [PERIOD]
loving [AND] messy [AND] mean [IMPLY] stupid [PERIOD]
disobedient [AND] mean [IMPLY] stupid [PERIOD]
gorgeous [IMPLY] talkative [PERIOD]
ambitious [IMPLY] scared [PERIOD]
homely [AND] scared [AND] cruel [IMPLY] outrageous [PERIOD]
condemned [AND] bad-tempered [AND] stupid [IMPLY] friendly [PERIOD]
tame [IMPLY] helpless [PERIOD]
bossy [AND] frantic [AND] mean [IMPLY] stupid [PERIOD]
mean [AND] helpless [AND] scared [IMPLY] tame [PERIOD]
friendly [IMPLY] foolish [PERIOD]
horrible [AND] different [IMPLY] mean [PERIOD]
wrong [AND] messy [AND] different [IMPLY] friendly [PERIOD]
disobedient [AND] foolish [IMPLY] mean [PERIOD]
frantic [IMPLY] cruel [PERIOD]
messy [AND] stubborn [IMPLY] bad-tempered [PERIOD]
difficult [AND] frantic [AND] loving [IMPLY] ambitious [PERIOD]
stupid [AND] frantic [IMPLY] messy [PERIOD]
outrageous [IMPLY] foolish [PERIOD]
cruel [AND] stubborn [AND] horrible [IMPLY] talkative [PERIOD]
tame [AND] disobedient [AND] friendly [IMPLY] foolish [PERIOD]
bad-tempered [IMPLY] stupid [PERIOD]
ambitious [AND] different [IMPLY] cruel [PERIOD]
stubborn [IMPLY] bossy [PERIOD]
horrible [IMPLY] homely [PERIOD]
scared [IMPLY] stubborn [PERIOD]
helpless [IMPLY] condemned [PERIOD]
difficult [AND] bad-tempered [IMPLY] gorgeous [PERIOD]
helpless [IMPLY] homely [PERIOD]
foolish [AND] scared [IMPLY] homely [PERIOD]
condemned [AND] friendly [IMPLY] bossy [PERIOD]
outrageous [AND] tame [AND] different [IMPLY] bad-tempered [PERIOD]
wrong [IMPLY] outrageous [PERIOD]
difficult [AND] foolish [IMPLY] bad-tempered [PERIOD]
cruel [AND] homely [IMPLY] bad-tempered [PERIOD]
stubborn [AND] outrageous [AND] foolish [IMPLY] messy [PERIOD]
tame [AND] disobedient [IMPLY] stubborn [PERIOD]
frantic [AND] horrible [IMPLY] disobedient [PERIOD]
frantic [IMPLY] foolish [PERIOD]
scared [AND] wrong [IMPLY] loving [PERIOD]
wrong [AND] loving [AND] scared [IMPLY] disobedient [PERIOD]
frantic [AND] loving [AND] condemned [IMPLY] mean [PERIOD]
helpless [IMPLY] frantic [PERIOD]
difficult [AND] bad-tempered [IMPLY] wrong [PERIOD]
outrageous [AND] scared [AND] talkative [IMPLY] gorgeous [PERIOD]
bad-tempered [IMPLY] messy [PERIOD]
cruel [IMPLY] homely [PERIOD]
bossy [AND] messy [AND] stubborn [IMPLY] condemned [PERIOD]
frantic [IMPLY] homely [PERIOD]
difficult [IMPLY] loving [PERIOD]
messy [AND] talkative [IMPLY] difficult [PERIOD]
scared [AND] stubborn [AND] tame [IMPLY] cruel [PERIOD]
horrible [IMPLY] loving [PERIOD]
horrible [IMPLY] talkative [PERIOD]
stupid [AND] homely [IMPLY] different [PERIOD]
gorgeous [IMPLY] disobedient [PERIOD]
condemned [AND] mean [AND] different [IMPLY] horrible [PERIOD]
helpless [AND] stupid [IMPLY] gorgeous [PERIOD]
confused [AND] foolish [IMPLY] condemned [PERIOD]
helpless [AND] bossy [AND] bad-tempered [IMPLY] difficult [PERIOD]
tame [AND] homely [AND] messy [IMPLY] cruel [PERIOD]
friendly [AND] horrible [IMPLY] different [PERIOD]
stubborn [AND] loving [IMPLY] bad-tempered [PERIOD]
foolish [AND] friendly [AND] bossy [IMPLY] helpless [PERIOD]
outrageous [IMPLY] bad-tempered [PERIOD]
confused [IMPLY] homely [PERIOD]
horrible [IMPLY] helpless [PERIOD]
scared [AND] frantic [IMPLY] different [PERIOD]
stupid [AND] gorgeous [IMPLY] talkative [PERIOD]
mean [IMPLY] homely [PERIOD]
stupid [IMPLY] loving [PERIOD]
loving [AND] bad-tempered [IMPLY] helpless [PERIOD]
loving [AND] foolish [IMPLY] bossy [PERIOD]
mean [AND] bossy [AND] frantic [IMPLY] messy [PERIOD]
wrong [AND] ambitious [AND] gorgeous [IMPLY] talkative [PERIOD]
foolish [IMPLY] ambitious [PERIOD]
outrageous [AND] gorgeous [AND] mean [IMPLY] horrible [PERIOD]
ambitious [AND] stupid [IMPLY] disobedient [PERIOD]
messy [AND] gorgeous [AND] stupid [IMPLY] helpless [PERIOD]
helpless [AND] difficult [AND] outrageous [IMPLY] wrong [PERIOD]
stubborn [AND] outrageous [AND] friendly [IMPLY] scared [PERIOD]
foolish [AND] homely [AND] tame [IMPLY] bossy [PERIOD]
helpless [AND] stupid [IMPLY] talkative [PERIOD]
scared [AND] wrong [IMPLY] tame [PERIOD]
foolish [IMPLY] different [PERIOD]
condemned [AND] tame [AND] stupid [IMPLY] homely [PERIOD]
wrong [AND] tame [IMPLY] homely [PERIOD]
homely [AND] confused [AND] bossy [IMPLY] helpless [PERIOD]
stubborn [AND] horrible [AND] ambitious [IMPLY] helpless [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   foolish ⇒ ambitious
   ambitious ⇒ scared
   scared ⇒ wrong
",1,3
"Facts: 
Rules:
helpful [AND] rational [IMPLY] joyous [PERIOD]
troubled [IMPLY] plain [PERIOD]
proud [AND] plain [IMPLY] helpful [PERIOD]
rational [AND] talented [IMPLY] nervous [PERIOD]
joyous [AND] muddy [AND] plain [IMPLY] proud [PERIOD]
polite [AND] uptight [IMPLY] rational [PERIOD]
uptight [IMPLY] polite [PERIOD]
friendly [AND] uptight [AND] average [IMPLY] helpful [PERIOD]
embarrassed [AND] muddy [AND] weary [IMPLY] friendly [PERIOD]
plain [IMPLY] polite [PERIOD]
joyous [AND] rational [AND] uptight [IMPLY] nervous [PERIOD]
weary [IMPLY] plain [PERIOD]
friendly [AND] average [IMPLY] muddy [PERIOD]
average [IMPLY] polite [PERIOD]
friendly [AND] nervous [AND] embarrassed [IMPLY] rude [PERIOD]
friendly [AND] nervous [AND] proud [IMPLY] fearless [PERIOD]
helpful [AND] proud [IMPLY] friendly [PERIOD]
plain [IMPLY] uptight [PERIOD]
joyous [IMPLY] average [PERIOD]
troubled [IMPLY] embarrassed [PERIOD]
uptight [AND] talented [AND] mean [IMPLY] polite [PERIOD]
joyous [AND] muddy [IMPLY] talented [PERIOD]
rude [AND] average [AND] mean [IMPLY] embarrassed [PERIOD]
average [AND] rational [IMPLY] joyous [PERIOD]
rational [AND] friendly [IMPLY] plain [PERIOD]
fearless [AND] joyous [IMPLY] rational [PERIOD]
muddy [IMPLY] helpful [PERIOD]
fearless [AND] mean [AND] uptight [IMPLY] embarrassed [PERIOD]
weary [IMPLY] troubled [PERIOD]
uptight [IMPLY] rude [PERIOD]
embarrassed [AND] rude [AND] polite [IMPLY] helpful [PERIOD]
embarrassed [AND] weary [IMPLY] joyous [PERIOD]
talented [IMPLY] nervous [PERIOD]
rational [AND] friendly [AND] nervous [IMPLY] embarrassed [PERIOD]
troubled [IMPLY] muddy [PERIOD]
average [AND] proud [AND] friendly [IMPLY] rude [PERIOD]
rude [AND] weary [IMPLY] friendly [PERIOD]
proud [AND] uptight [AND] rude [IMPLY] helpful [PERIOD]
helpful [AND] mean [IMPLY] uptight [PERIOD]
fearless [AND] nervous [IMPLY] joyous [PERIOD]
average [AND] rational [IMPLY] talented [PERIOD]
helpful [IMPLY] friendly [PERIOD]
weary [AND] joyous [AND] troubled [IMPLY] helpful [PERIOD]
weary [AND] fearless [IMPLY] rational [PERIOD]
plain [AND] weary [IMPLY] average [PERIOD]
rational [AND] mean [AND] talented [IMPLY] weary [PERIOD]
polite [AND] nervous [AND] rude [IMPLY] average [PERIOD]
proud [IMPLY] muddy [PERIOD]
weary [AND] fearless [IMPLY] nervous [PERIOD]
proud [AND] rude [AND] muddy [IMPLY] helpful [PERIOD]
friendly [AND] rude [IMPLY] talented [PERIOD]
friendly [AND] talented [AND] proud [IMPLY] rational [PERIOD]
muddy [AND] proud [AND] weary [IMPLY] plain [PERIOD]
muddy [IMPLY] weary [PERIOD]
fearless [IMPLY] joyous [PERIOD]
joyous [AND] talented [AND] weary [IMPLY] mean [PERIOD]
rude [IMPLY] plain [PERIOD]
average [AND] muddy [IMPLY] embarrassed [PERIOD]
fearless [IMPLY] friendly [PERIOD]
nervous [AND] joyous [AND] friendly [IMPLY] helpful [PERIOD]
polite [AND] uptight [IMPLY] proud [PERIOD]
helpful [IMPLY] plain [PERIOD]
joyous [AND] polite [AND] rude [IMPLY] fearless [PERIOD]
polite [AND] uptight [AND] rational [IMPLY] fearless [PERIOD]
troubled [AND] rational [AND] fearless [IMPLY] helpful [PERIOD]
troubled [AND] plain [IMPLY] average [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   Cannot apply rule “troubled ⇒ plain” because missing: troubled.
   Cannot apply rule “weary ⇒ plain” because missing: weary.
   Cannot apply rule “rational ∧ friendly ⇒ plain” because missing: rational, friendly.
   Cannot apply rule “muddy ∧ proud ∧ weary ⇒ plain” because missing: muddy, proud, weary.
   Cannot apply rule “rude ⇒ plain” because missing: rude.
   Cannot apply rule “helpful ⇒ plain” because missing: helpful.
",0,6
"Facts:  Alice is wandering [PERIOD] Alice is modern [PERIOD] Alice is thoughtful [PERIOD] Alice is messy [PERIOD] Alice is nervous [PERIOD] Alice is shy [PERIOD] Alice is impartial [PERIOD] Alice is gleaming [PERIOD] Alice is straightforward [PERIOD] Alice is average [PERIOD]
Rules:
beautiful [IMPLY] thoughtful [PERIOD]
gleaming [AND] condemned [IMPLY] cute [PERIOD]
average [AND] shy [AND] embarrassed [IMPLY] wandering [PERIOD]
different [AND] cute [AND] wandering [IMPLY] beautiful [PERIOD]
inexpensive [AND] straightforward [AND] mysterious [IMPLY] average [PERIOD]
aggressive [AND] fearless [IMPLY] inexpensive [PERIOD]
stormy [AND] nervous [IMPLY] condemned [PERIOD]
mysterious [AND] agreeable [AND] wandering [IMPLY] straightforward [PERIOD]
loving [AND] cute [AND] messy [IMPLY] confident [PERIOD]
agreeable [IMPLY] inexpensive [PERIOD]
aggressive [AND] wandering [AND] straightforward [IMPLY] confident [PERIOD]
mysterious [AND] different [IMPLY] famous [PERIOD]
good [IMPLY] mysterious [PERIOD]
shy [AND] loving [IMPLY] impartial [PERIOD]
inexpensive [IMPLY] impartial [PERIOD]
nervous [AND] beautiful [AND] condemned [IMPLY] thoughtful [PERIOD]
aggressive [IMPLY] gleaming [PERIOD]
different [AND] wandering [AND] agreeable [IMPLY] stormy [PERIOD]
straightforward [AND] fearless [AND] good [IMPLY] gleaming [PERIOD]
good [AND] inexpensive [IMPLY] nervous [PERIOD]
inexpensive [AND] loving [AND] agreeable [IMPLY] straightforward [PERIOD]
outstanding [AND] famous [IMPLY] adorable [PERIOD]
aggressive [AND] good [IMPLY] modern [PERIOD]
outstanding [IMPLY] fragile [PERIOD]
straightforward [AND] confident [AND] loving [IMPLY] average [PERIOD]
adorable [AND] cute [AND] gleaming [IMPLY] modern [PERIOD]
modern [AND] wandering [IMPLY] good [PERIOD]
homely [AND] messy [IMPLY] loving [PERIOD]
inexpensive [AND] hurt [IMPLY] cute [PERIOD]
good [IMPLY] cute [PERIOD]
mysterious [AND] agreeable [AND] different [IMPLY] gleaming [PERIOD]
wandering [AND] good [AND] homely [IMPLY] beautiful [PERIOD]
wandering [AND] fragile [IMPLY] fearless [PERIOD]
shy [AND] straightforward [AND] mysterious [IMPLY] confident [PERIOD]
confident [IMPLY] adorable [PERIOD]
shy [AND] average [AND] straightforward [IMPLY] condemned [PERIOD]
homely [AND] loving [AND] average [IMPLY] confident [PERIOD]
outstanding [AND] adorable [AND] condemned [IMPLY] wandering [PERIOD]
condemned [AND] gleaming [IMPLY] loving [PERIOD]
mysterious [AND] impartial [AND] messy [IMPLY] average [PERIOD]
outstanding [IMPLY] aggressive [PERIOD]
adorable [AND] messy [IMPLY] fearless [PERIOD]
loving [AND] gleaming [AND] agreeable [IMPLY] aggressive [PERIOD]
inexpensive [AND] cute [AND] different [IMPLY] beautiful [PERIOD]
inexpensive [AND] famous [IMPLY] wandering [PERIOD]
shy [AND] modern [IMPLY] wandering [PERIOD]
adorable [AND] homely [AND] mysterious [IMPLY] straightforward [PERIOD]
nervous [AND] homely [AND] condemned [IMPLY] thoughtful [PERIOD]
confident [AND] nervous [IMPLY] cute [PERIOD]
straightforward [AND] wandering [IMPLY] condemned [PERIOD]
straightforward [AND] adorable [IMPLY] hurt [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   shy ∧ average ∧ straightforward ⇒ condemned
   condemned ∧ gleaming ⇒ loving
   shy ∧ average ∧ straightforward ⇒ condemned
   gleaming ∧ condemned ⇒ cute
   loving ∧ cute ∧ messy ⇒ confident
   confident ⇒ adorable
   adorable ∧ messy ⇒ fearless
",1,7
"Facts: 
Rules:
bad-tempered [IMPLY] cruel [PERIOD]
victorious [AND] spotless [IMPLY] fragile [PERIOD]
talented [IMPLY] light [PERIOD]
old-fashioned [IMPLY] curious [PERIOD]
uptight [AND] modern [IMPLY] reserved [PERIOD]
dull [AND] talented [IMPLY] selfish [PERIOD]
modern [AND] bad-tempered [IMPLY] confused [PERIOD]
old-fashioned [AND] dishonest [IMPLY] talented [PERIOD]
reserved [AND] cruel [IMPLY] victorious [PERIOD]
curious [IMPLY] talented [PERIOD]
confused [IMPLY] different [PERIOD]
selfish [AND] joyous [IMPLY] dishonest [PERIOD]
alert [AND] ugly [AND] talented [IMPLY] dishonest [PERIOD]
light [AND] outrageous [AND] victorious [IMPLY] curious [PERIOD]
outrageous [AND] modern [AND] different [IMPLY] dull [PERIOD]
strange [AND] cruel [IMPLY] busy [PERIOD]
dishonest [IMPLY] cruel [PERIOD]
selfish [IMPLY] victorious [PERIOD]
dishonest [AND] strange [AND] talented [IMPLY] reserved [PERIOD]
dishonest [AND] curious [AND] cruel [IMPLY] light [PERIOD]
different [AND] victorious [AND] talented [IMPLY] alert [PERIOD]
joyous [AND] victorious [IMPLY] uptight [PERIOD]
cruel [IMPLY] lucky [PERIOD]
old-fashioned [AND] confused [IMPLY] troubled [PERIOD]
lucky [AND] strange [AND] spotless [IMPLY] busy [PERIOD]
spotless [IMPLY] busy [PERIOD]
strange [AND] light [IMPLY] troubled [PERIOD]
fragile [AND] strange [AND] joyous [IMPLY] reserved [PERIOD]
old-fashioned [AND] outrageous [IMPLY] cruel [PERIOD]
spotless [AND] reserved [AND] dishonest [IMPLY] ugly [PERIOD]
dishonest [AND] troubled [AND] fragile [IMPLY] uptight [PERIOD]
dishonest [AND] bad-tempered [IMPLY] spotless [PERIOD]
ugly [AND] curious [AND] outrageous [IMPLY] different [PERIOD]
old-fashioned [AND] alert [AND] reserved [IMPLY] lucky [PERIOD]
dull [AND] modern [IMPLY] fragile [PERIOD]
uptight [IMPLY] confused [PERIOD]
joyous [IMPLY] ugly [PERIOD]
strange [IMPLY] dull [PERIOD]
troubled [AND] cruel [IMPLY] dishonest [PERIOD]
old-fashioned [AND] dishonest [AND] talented [IMPLY] joyous [PERIOD]
dishonest [IMPLY] reserved [PERIOD]
dull [IMPLY] modern [PERIOD]
strange [IMPLY] outrageous [PERIOD]
uptight [IMPLY] lucky [PERIOD]
cruel [AND] joyous [AND] uptight [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] dull [PERIOD]
curious [IMPLY] uptight [PERIOD]
reserved [IMPLY] dull [PERIOD]
dishonest [IMPLY] talented [PERIOD]
fragile [AND] troubled [AND] selfish [IMPLY] dull [PERIOD]
victorious [AND] confused [IMPLY] cruel [PERIOD]
cruel [AND] uptight [IMPLY] dishonest [PERIOD]
dishonest [IMPLY] victorious [PERIOD]
troubled [IMPLY] ugly [PERIOD]
different [IMPLY] strange [PERIOD]
different [IMPLY] spotless [PERIOD]
dishonest [AND] dull [AND] curious [IMPLY] fragile [PERIOD]
old-fashioned [AND] uptight [AND] ugly [IMPLY] modern [PERIOD]
confused [AND] ugly [IMPLY] spotless [PERIOD]
reserved [AND] alert [IMPLY] uptight [PERIOD]
selfish [IMPLY] uptight [PERIOD]
outrageous [AND] cruel [AND] dull [IMPLY] alert [PERIOD]
talented [IMPLY] dull [PERIOD]
dull [AND] curious [AND] strange [IMPLY] troubled [PERIOD]
victorious [IMPLY] different [PERIOD]
alert [AND] strange [IMPLY] uptight [PERIOD]
ugly [AND] different [IMPLY] selfish [PERIOD]
alert [AND] curious [IMPLY] dull [PERIOD]
talented [AND] fragile [AND] selfish [IMPLY] busy [PERIOD]
dull [IMPLY] uptight [PERIOD]
bad-tempered [AND] ugly [AND] spotless [IMPLY] dishonest [PERIOD]
uptight [IMPLY] dishonest [PERIOD]
dishonest [AND] different [AND] joyous [IMPLY] busy [PERIOD]
dishonest [AND] reserved [IMPLY] lucky [PERIOD]
dull [AND] troubled [AND] bad-tempered [IMPLY] reserved [PERIOD]
modern [IMPLY] fragile [PERIOD]
fragile [IMPLY] modern [PERIOD]
dishonest [IMPLY] strange [PERIOD]
modern [IMPLY] bad-tempered [PERIOD]
cruel [IMPLY] dull [PERIOD]
reserved [AND] cruel [AND] light [IMPLY] busy [PERIOD]
modern [AND] alert [AND] dull [IMPLY] busy [PERIOD]
talented [AND] outrageous [AND] ugly [IMPLY] lucky [PERIOD]
strange [AND] ugly [AND] confused [IMPLY] talented [PERIOD]
alert [AND] spotless [AND] outrageous [IMPLY] ugly [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   Cannot apply rule “joyous ∧ victorious ⇒ uptight” because missing: joyous, victorious.
   Cannot apply rule “dishonest ∧ troubled ∧ fragile ⇒ uptight” because missing: dishonest, troubled, fragile.
   Cannot apply rule “curious ⇒ uptight” because missing: curious.
   Cannot apply rule “reserved ∧ alert ⇒ uptight” because missing: reserved, alert.
   Cannot apply rule “selfish ⇒ uptight” because missing: selfish.
   Cannot apply rule “alert ∧ strange ⇒ uptight” because missing: alert, strange.
   Cannot apply rule “dull ⇒ uptight” because missing: dull.
",0,7
"Facts:  Alice is condemned [PERIOD] Alice is bad-tempered [PERIOD] Alice is long [PERIOD]
Rules:
wrong [IMPLY] busy [PERIOD]
wrong [AND] tired [AND] difficult [IMPLY] strange [PERIOD]
long [IMPLY] difficult [PERIOD]
long [AND] busy [AND] strange [IMPLY] clean [PERIOD]
tired [AND] wrong [AND] troubled [IMPLY] tender [PERIOD]
condemned [AND] troubled [IMPLY] strange [PERIOD]
strange [IMPLY] difficult [PERIOD]
difficult [AND] long [AND] busy [IMPLY] bad-tempered [PERIOD]
wrong [AND] clean [IMPLY] busy [PERIOD]
long [AND] busy [AND] wrong [IMPLY] bad-tempered [PERIOD]
wrong [AND] bad-tempered [AND] troubled [IMPLY] condemned [PERIOD]
long [IMPLY] condemned [PERIOD]
difficult [AND] tender [AND] clean [IMPLY] busy [PERIOD]
condemned [AND] clean [IMPLY] troubled [PERIOD]
long [IMPLY] wrong [PERIOD]
busy [AND] wrong [AND] troubled [IMPLY] strange [PERIOD]
tired [AND] condemned [AND] long [IMPLY] troubled [PERIOD]
long [IMPLY] tired [PERIOD]
troubled [IMPLY] tired [PERIOD]
tender [AND] long [AND] tired [IMPLY] clean [PERIOD]
strange [AND] troubled [AND] long [IMPLY] busy [PERIOD]
strange [AND] long [IMPLY] tired [PERIOD]
wrong [AND] bad-tempered [AND] strange [IMPLY] difficult [PERIOD]
long [AND] tender [AND] difficult [IMPLY] tired [PERIOD]
difficult [IMPLY] busy [PERIOD]
troubled [AND] difficult [IMPLY] condemned [PERIOD]
tired [IMPLY] busy [PERIOD]
condemned [AND] long [AND] busy [IMPLY] bad-tempered [PERIOD]
troubled [IMPLY] tender [PERIOD]
clean [AND] tired [IMPLY] tender [PERIOD]
tender [IMPLY] bad-tempered [PERIOD]
busy [IMPLY] bad-tempered [PERIOD]
wrong [IMPLY] troubled [PERIOD]
difficult [IMPLY] long [PERIOD]
condemned [AND] busy [IMPLY] bad-tempered [PERIOD]
troubled [AND] long [AND] clean [IMPLY] busy [PERIOD]
difficult [AND] long [AND] wrong [IMPLY] bad-tempered [PERIOD]
tired [AND] clean [IMPLY] condemned [PERIOD]
troubled [IMPLY] bad-tempered [PERIOD]
busy [IMPLY] tender [PERIOD]
Query: Alice is long [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is wide-eyed [PERIOD] Alice is thoughtless [PERIOD] Alice is talkative [PERIOD] Alice is worrisome [PERIOD] Alice is agreeable [PERIOD] Alice is courageous [PERIOD] Alice is hurt [PERIOD] Alice is unpleasant [PERIOD] Alice is polite [PERIOD]
Rules:
innocent [AND] inexpensive [IMPLY] mysterious [PERIOD]
selfish [AND] foolish [IMPLY] spotless [PERIOD]
unpleasant [IMPLY] smart [PERIOD]
inexpensive [AND] worrisome [AND] clean [IMPLY] tender [PERIOD]
innocent [IMPLY] selfish [PERIOD]
inexpensive [AND] blushing [IMPLY] smart [PERIOD]
thoughtless [AND] shiny [AND] worrisome [IMPLY] disobedient [PERIOD]
innocent [AND] disobedient [IMPLY] tender [PERIOD]
thoughtless [AND] elegant [AND] talkative [IMPLY] disobedient [PERIOD]
smart [AND] good [IMPLY] inexpensive [PERIOD]
elegant [IMPLY] fragile [PERIOD]
thoughtless [IMPLY] selfish [PERIOD]
inexpensive [IMPLY] agreeable [PERIOD]
worrisome [AND] fragile [IMPLY] tidy [PERIOD]
foolish [AND] inexpensive [AND] tender [IMPLY] clean [PERIOD]
thoughtless [AND] mysterious [IMPLY] worrisome [PERIOD]
polite [AND] clean [IMPLY] fragile [PERIOD]
foolish [IMPLY] fearless [PERIOD]
innocent [AND] disobedient [AND] foolish [IMPLY] elegant [PERIOD]
wide-eyed [AND] thoughtless [AND] clean [IMPLY] fragile [PERIOD]
ugly [AND] agreeable [IMPLY] selfish [PERIOD]
clean [AND] tidy [AND] blushing [IMPLY] smart [PERIOD]
famous [IMPLY] good [PERIOD]
tidy [AND] disobedient [AND] ugly [IMPLY] innocent [PERIOD]
smart [AND] mysterious [IMPLY] fragile [PERIOD]
disobedient [AND] inexpensive [AND] thoughtless [IMPLY] tidy [PERIOD]
hurt [AND] blushing [AND] innocent [IMPLY] clean [PERIOD]
unpleasant [IMPLY] worrisome [PERIOD]
elegant [AND] clean [IMPLY] polite [PERIOD]
tender [AND] blushing [AND] innocent [IMPLY] selfish [PERIOD]
tidy [IMPLY] mysterious [PERIOD]
good [IMPLY] courageous [PERIOD]
innocent [IMPLY] courageous [PERIOD]
ugly [AND] blushing [AND] courageous [IMPLY] fragile [PERIOD]
clean [IMPLY] polite [PERIOD]
clean [AND] inexpensive [IMPLY] spotless [PERIOD]
polite [AND] elegant [AND] blushing [IMPLY] wide-eyed [PERIOD]
blushing [AND] hurt [IMPLY] wide-eyed [PERIOD]
elegant [AND] agreeable [AND] clean [IMPLY] blushing [PERIOD]
shiny [IMPLY] courageous [PERIOD]
wide-eyed [AND] mysterious [AND] inexpensive [IMPLY] tender [PERIOD]
ugly [AND] inexpensive [IMPLY] spotless [PERIOD]
unpleasant [IMPLY] thoughtless [PERIOD]
spotless [AND] mysterious [AND] smart [IMPLY] talkative [PERIOD]
inexpensive [AND] agreeable [IMPLY] hurt [PERIOD]
talkative [IMPLY] thoughtless [PERIOD]
famous [AND] innocent [IMPLY] shiny [PERIOD]
ugly [AND] polite [AND] unpleasant [IMPLY] fearless [PERIOD]
mysterious [AND] tidy [IMPLY] blushing [PERIOD]
disobedient [IMPLY] tender [PERIOD]
innocent [AND] shiny [IMPLY] disobedient [PERIOD]
ugly [AND] selfish [IMPLY] famous [PERIOD]
polite [AND] smart [IMPLY] fragile [PERIOD]
smart [AND] polite [AND] inexpensive [IMPLY] foolish [PERIOD]
polite [AND] tender [IMPLY] talkative [PERIOD]
hurt [IMPLY] shiny [PERIOD]
blushing [AND] foolish [IMPLY] talkative [PERIOD]
tender [AND] inexpensive [IMPLY] polite [PERIOD]
agreeable [AND] talkative [AND] thoughtless [IMPLY] mysterious [PERIOD]
famous [IMPLY] shiny [PERIOD]
thoughtless [AND] selfish [AND] elegant [IMPLY] good [PERIOD]
foolish [IMPLY] famous [PERIOD]
courageous [AND] disobedient [AND] fearless [IMPLY] spotless [PERIOD]
blushing [IMPLY] good [PERIOD]
thoughtless [IMPLY] shiny [PERIOD]
innocent [IMPLY] clean [PERIOD]
smart [IMPLY] courageous [PERIOD]
clean [IMPLY] courageous [PERIOD]
smart [AND] wide-eyed [AND] good [IMPLY] polite [PERIOD]
blushing [IMPLY] agreeable [PERIOD]
innocent [IMPLY] famous [PERIOD]
smart [IMPLY] mysterious [PERIOD]
smart [IMPLY] good [PERIOD]
mysterious [AND] spotless [AND] thoughtless [IMPLY] hurt [PERIOD]
fearless [AND] foolish [AND] mysterious [IMPLY] wide-eyed [PERIOD]
agreeable [AND] fearless [AND] selfish [IMPLY] spotless [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   agreeable ∧ talkative ∧ thoughtless ⇒ mysterious
   unpleasant ⇒ smart
   agreeable ∧ talkative ∧ thoughtless ⇒ mysterious
   smart ∧ mysterious ⇒ fragile
   worrisome ∧ fragile ⇒ tidy
   mysterious ∧ tidy ⇒ blushing
",1,6
"Facts:  Alice is hypocritical [PERIOD] Alice is modern [PERIOD] Alice is curious [PERIOD] Alice is intellectual [PERIOD] Alice is disobedient [PERIOD] Alice is aggressive [PERIOD]
Rules:
scared [IMPLY] curious [PERIOD]
hypocritical [AND] intellectual [AND] tense [IMPLY] curious [PERIOD]
helpful [IMPLY] curious [PERIOD]
curious [AND] rational [AND] tense [IMPLY] confused [PERIOD]
aggressive [AND] confused [AND] helpful [IMPLY] disobedient [PERIOD]
intellectual [AND] rational [AND] good [IMPLY] aggressive [PERIOD]
modern [AND] rational [AND] scared [IMPLY] curious [PERIOD]
busy [IMPLY] rational [PERIOD]
hypocritical [AND] modern [AND] curious [IMPLY] rational [PERIOD]
aggressive [AND] busy [AND] rational [IMPLY] intellectual [PERIOD]
modern [AND] scared [IMPLY] helpful [PERIOD]
modern [IMPLY] good [PERIOD]
modern [AND] busy [IMPLY] tense [PERIOD]
curious [IMPLY] hypocritical [PERIOD]
intellectual [AND] helpful [IMPLY] confused [PERIOD]
tense [AND] rational [AND] busy [IMPLY] confused [PERIOD]
rational [AND] tense [IMPLY] hypocritical [PERIOD]
disobedient [IMPLY] rational [PERIOD]
good [IMPLY] helpful [PERIOD]
disobedient [AND] tense [IMPLY] busy [PERIOD]
scared [AND] confused [IMPLY] rational [PERIOD]
busy [AND] curious [IMPLY] intellectual [PERIOD]
curious [AND] aggressive [AND] rational [IMPLY] hypocritical [PERIOD]
helpful [AND] tense [AND] confused [IMPLY] hypocritical [PERIOD]
intellectual [AND] confused [AND] modern [IMPLY] busy [PERIOD]
scared [AND] hypocritical [AND] modern [IMPLY] busy [PERIOD]
aggressive [IMPLY] curious [PERIOD]
tense [AND] good [AND] aggressive [IMPLY] scared [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
   modern ⇒ good
   good ⇒ helpful
   intellectual ∧ helpful ⇒ confused
   intellectual ∧ confused ∧ modern ⇒ busy
   modern ∧ busy ⇒ tense
   modern ⇒ good
   tense ∧ good ∧ aggressive ⇒ scared
",1,7
"Facts: 
Rules:
friendly [IMPLY] bossy [PERIOD]
friendly [AND] bright [AND] jittery [IMPLY] confused [PERIOD]
thoughtful [AND] modern [AND] confused [IMPLY] mean [PERIOD]
jittery [AND] modern [AND] thoughtless [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] naughty [PERIOD]
thoughtless [AND] thoughtful [AND] mean [IMPLY] jittery [PERIOD]
confused [IMPLY] modern [PERIOD]
friendly [IMPLY] thoughtful [PERIOD]
clumsy [AND] thoughtful [IMPLY] bright [PERIOD]
thoughtful [AND] clumsy [AND] naughty [IMPLY] bright [PERIOD]
bright [IMPLY] confused [PERIOD]
cruel [AND] clumsy [AND] thoughtful [IMPLY] bossy [PERIOD]
selfish [AND] thoughtful [IMPLY] bright [PERIOD]
friendly [IMPLY] mean [PERIOD]
alert [AND] jittery [AND] cruel [IMPLY] selfish [PERIOD]
thoughtful [IMPLY] mean [PERIOD]
thoughtful [AND] confused [AND] jittery [IMPLY] thoughtless [PERIOD]
mean [IMPLY] bright [PERIOD]
friendly [AND] selfish [IMPLY] clumsy [PERIOD]
naughty [AND] thoughtless [IMPLY] mean [PERIOD]
friendly [AND] alert [AND] thoughtless [IMPLY] thoughtful [PERIOD]
cruel [IMPLY] selfish [PERIOD]
mean [IMPLY] friendly [PERIOD]
thoughtless [AND] modern [AND] thoughtful [IMPLY] friendly [PERIOD]
jittery [AND] clumsy [IMPLY] friendly [PERIOD]
friendly [AND] clumsy [IMPLY] naughty [PERIOD]
bossy [IMPLY] modern [PERIOD]
selfish [IMPLY] thoughtless [PERIOD]
confused [AND] clumsy [AND] cruel [IMPLY] naughty [PERIOD]
naughty [AND] alert [AND] confused [IMPLY] thoughtless [PERIOD]
alert [IMPLY] selfish [PERIOD]
cruel [AND] thoughtful [AND] naughty [IMPLY] alert [PERIOD]
thoughtful [AND] thoughtless [IMPLY] cruel [PERIOD]
selfish [IMPLY] modern [PERIOD]
modern [IMPLY] cruel [PERIOD]
naughty [AND] alert [IMPLY] modern [PERIOD]
confused [IMPLY] bossy [PERIOD]
jittery [IMPLY] confused [PERIOD]
thoughtless [AND] modern [AND] cruel [IMPLY] jittery [PERIOD]
alert [AND] bright [AND] jittery [IMPLY] bossy [PERIOD]
mean [IMPLY] jittery [PERIOD]
jittery [AND] naughty [AND] confused [IMPLY] clumsy [PERIOD]
alert [IMPLY] thoughtless [PERIOD]
modern [AND] confused [IMPLY] thoughtless [PERIOD]
modern [IMPLY] bright [PERIOD]
cruel [IMPLY] thoughtful [PERIOD]
selfish [AND] friendly [AND] bright [IMPLY] naughty [PERIOD]
bright [AND] alert [AND] confused [IMPLY] naughty [PERIOD]
thoughtful [AND] selfish [AND] cruel [IMPLY] mean [PERIOD]
thoughtful [AND] thoughtless [AND] jittery [IMPLY] clumsy [PERIOD]
clumsy [AND] bright [AND] alert [IMPLY] modern [PERIOD]
cruel [AND] bossy [AND] mean [IMPLY] friendly [PERIOD]
cruel [IMPLY] modern [PERIOD]
naughty [IMPLY] thoughtless [PERIOD]
cruel [AND] confused [IMPLY] selfish [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   Cannot apply rule “thoughtful ⇒ naughty” because missing: thoughtful.
   Cannot apply rule “friendly ∧ clumsy ⇒ naughty” because missing: friendly, clumsy.
   Cannot apply rule “confused ∧ clumsy ∧ cruel ⇒ naughty” because missing: confused, clumsy, cruel.
   Cannot apply rule “selfish ∧ friendly ∧ bright ⇒ naughty” because missing: selfish, friendly, bright.
   Cannot apply rule “bright ∧ alert ∧ confused ⇒ naughty” because missing: bright, alert, confused.
",0,5
"Facts:  Alice is hurt [PERIOD] Alice is aggressive [PERIOD] Alice is diplomatic [PERIOD] Alice is clumsy [PERIOD] Alice is frantic [PERIOD] Alice is embarrassed [PERIOD] Alice is easy [PERIOD] Alice is busy [PERIOD]
Rules:
hurt [AND] stormy [IMPLY] aggressive [PERIOD]
frantic [AND] difficult [IMPLY] innocent [PERIOD]
talented [IMPLY] frantic [PERIOD]
sensible [AND] silly [IMPLY] talented [PERIOD]
easy [IMPLY] stormy [PERIOD]
diplomatic [AND] lucky [IMPLY] difficult [PERIOD]
talented [AND] busy [AND] easy [IMPLY] lucky [PERIOD]
embarrassed [AND] frantic [AND] innocent [IMPLY] aggressive [PERIOD]
hurt [AND] diplomatic [AND] lucky [IMPLY] busy [PERIOD]
stupid [AND] embarrassed [AND] hurt [IMPLY] clumsy [PERIOD]
clumsy [AND] frantic [AND] talented [IMPLY] diplomatic [PERIOD]
silly [AND] stormy [IMPLY] difficult [PERIOD]
frantic [IMPLY] fancy [PERIOD]
innocent [IMPLY] stormy [PERIOD]
sensible [AND] clumsy [IMPLY] lucky [PERIOD]
lucky [IMPLY] sensible [PERIOD]
aggressive [AND] embarrassed [IMPLY] difficult [PERIOD]
comfortable [IMPLY] talented [PERIOD]
stormy [AND] silly [AND] aggressive [IMPLY] easy [PERIOD]
difficult [AND] clumsy [AND] aggressive [IMPLY] stormy [PERIOD]
talented [IMPLY] embarrassed [PERIOD]
sensible [AND] hurt [IMPLY] easy [PERIOD]
stupid [IMPLY] diplomatic [PERIOD]
aggressive [IMPLY] stupid [PERIOD]
clumsy [IMPLY] lucky [PERIOD]
embarrassed [IMPLY] stormy [PERIOD]
easy [IMPLY] hurt [PERIOD]
busy [AND] frantic [AND] silly [IMPLY] clumsy [PERIOD]
embarrassed [IMPLY] stupid [PERIOD]
stupid [AND] difficult [IMPLY] diplomatic [PERIOD]
lucky [AND] stupid [IMPLY] easy [PERIOD]
stupid [AND] hurt [IMPLY] difficult [PERIOD]
comfortable [AND] difficult [IMPLY] busy [PERIOD]
diplomatic [AND] aggressive [AND] frantic [IMPLY] lucky [PERIOD]
hurt [AND] comfortable [IMPLY] silly [PERIOD]
talented [AND] easy [AND] difficult [IMPLY] sensible [PERIOD]
stormy [AND] hurt [AND] frantic [IMPLY] talented [PERIOD]
fancy [IMPLY] lucky [PERIOD]
stupid [IMPLY] fancy [PERIOD]
busy [AND] diplomatic [IMPLY] sensible [PERIOD]
lucky [AND] sensible [IMPLY] stormy [PERIOD]
stormy [AND] comfortable [AND] talented [IMPLY] difficult [PERIOD]
lucky [AND] silly [AND] diplomatic [IMPLY] difficult [PERIOD]
silly [IMPLY] aggressive [PERIOD]
lucky [IMPLY] easy [PERIOD]
hurt [AND] aggressive [AND] stupid [IMPLY] diplomatic [PERIOD]
diplomatic [IMPLY] hurt [PERIOD]
innocent [AND] sensible [AND] fancy [IMPLY] talented [PERIOD]
busy [IMPLY] easy [PERIOD]
lucky [AND] clumsy [AND] stupid [IMPLY] sensible [PERIOD]
sensible [AND] stupid [AND] lucky [IMPLY] fancy [PERIOD]
innocent [IMPLY] hurt [PERIOD]
hurt [AND] frantic [IMPLY] sensible [PERIOD]
frantic [AND] embarrassed [AND] silly [IMPLY] busy [PERIOD]
stormy [AND] frantic [AND] busy [IMPLY] innocent [PERIOD]
fancy [AND] hurt [IMPLY] talented [PERIOD]
sensible [IMPLY] clumsy [PERIOD]
aggressive [AND] clumsy [AND] fancy [IMPLY] talented [PERIOD]
aggressive [AND] comfortable [IMPLY] embarrassed [PERIOD]
aggressive [IMPLY] busy [PERIOD]
sensible [IMPLY] hurt [PERIOD]
embarrassed [IMPLY] innocent [PERIOD]
lucky [AND] talented [AND] frantic [IMPLY] busy [PERIOD]
sensible [IMPLY] frantic [PERIOD]
frantic [IMPLY] stormy [PERIOD]
talented [IMPLY] fancy [PERIOD]
lucky [IMPLY] diplomatic [PERIOD]
talented [AND] aggressive [AND] innocent [IMPLY] silly [PERIOD]
talented [AND] silly [AND] comfortable [IMPLY] hurt [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   frantic ⇒ fancy
   fancy ∧ hurt ⇒ talented
   embarrassed ⇒ innocent
   talented ∧ aggressive ∧ innocent ⇒ silly
",1,4
"Facts: 
Rules:
broad-minded [AND] pessimistic [AND] worried [IMPLY] proud [PERIOD]
talkative [IMPLY] comfortable [PERIOD]
worried [IMPLY] crowded [PERIOD]
thoughtful [AND] crowded [IMPLY] confused [PERIOD]
pessimistic [IMPLY] innocent [PERIOD]
uptight [IMPLY] elated [PERIOD]
innocent [IMPLY] thoughtful [PERIOD]
broad-minded [AND] troubled [IMPLY] worried [PERIOD]
plain [IMPLY] elated [PERIOD]
disobedient [IMPLY] hurt [PERIOD]
proud [AND] polite [AND] adorable [IMPLY] pessimistic [PERIOD]
thoughtful [AND] hurt [AND] worried [IMPLY] strange [PERIOD]
pessimistic [AND] worried [IMPLY] innocent [PERIOD]
good [IMPLY] polite [PERIOD]
thoughtful [AND] talkative [AND] fancy [IMPLY] dishonest [PERIOD]
fancy [IMPLY] troubled [PERIOD]
strange [AND] plain [AND] broad-minded [IMPLY] fancy [PERIOD]
adorable [AND] crowded [IMPLY] innocent [PERIOD]
disobedient [IMPLY] talkative [PERIOD]
broad-minded [AND] fancy [AND] worried [IMPLY] uptight [PERIOD]
broad-minded [IMPLY] adorable [PERIOD]
comfortable [AND] gifted [IMPLY] innocent [PERIOD]
adorable [AND] crowded [IMPLY] worried [PERIOD]
difficult [IMPLY] pessimistic [PERIOD]
innocent [IMPLY] elated [PERIOD]
good [AND] comfortable [IMPLY] stormy [PERIOD]
confused [AND] pessimistic [IMPLY] talkative [PERIOD]
strange [AND] innocent [IMPLY] comfortable [PERIOD]
plain [AND] gorgeous [IMPLY] disobedient [PERIOD]
troubled [AND] elated [AND] disobedient [IMPLY] witty [PERIOD]
fancy [IMPLY] gorgeous [PERIOD]
disobedient [AND] gifted [AND] polite [IMPLY] difficult [PERIOD]
dishonest [AND] witty [IMPLY] thoughtful [PERIOD]
fancy [AND] troubled [AND] dishonest [IMPLY] stormy [PERIOD]
fancy [AND] difficult [IMPLY] gifted [PERIOD]
strange [IMPLY] fancy [PERIOD]
fancy [IMPLY] elated [PERIOD]
difficult [IMPLY] stormy [PERIOD]
crowded [IMPLY] agreeable [PERIOD]
talkative [AND] dishonest [IMPLY] fancy [PERIOD]
disobedient [AND] broad-minded [IMPLY] confused [PERIOD]
good [IMPLY] thoughtful [PERIOD]
gorgeous [IMPLY] dishonest [PERIOD]
fancy [AND] comfortable [IMPLY] uptight [PERIOD]
comfortable [IMPLY] thoughtful [PERIOD]
polite [IMPLY] confused [PERIOD]
uptight [AND] agreeable [IMPLY] plain [PERIOD]
worried [IMPLY] talkative [PERIOD]
broad-minded [AND] plain [AND] dishonest [IMPLY] confused [PERIOD]
elated [IMPLY] thoughtful [PERIOD]
broad-minded [AND] innocent [AND] crowded [IMPLY] difficult [PERIOD]
agreeable [AND] troubled [IMPLY] hurt [PERIOD]
agreeable [AND] difficult [AND] dishonest [IMPLY] hurt [PERIOD]
good [AND] confused [IMPLY] adorable [PERIOD]
dishonest [IMPLY] comfortable [PERIOD]
proud [AND] good [IMPLY] worried [PERIOD]
agreeable [AND] uptight [AND] stormy [IMPLY] disobedient [PERIOD]
innocent [AND] confused [AND] troubled [IMPLY] thoughtful [PERIOD]
difficult [AND] confused [IMPLY] comfortable [PERIOD]
gifted [AND] elated [IMPLY] troubled [PERIOD]
elated [AND] agreeable [AND] witty [IMPLY] strange [PERIOD]
difficult [IMPLY] broad-minded [PERIOD]
witty [AND] stormy [IMPLY] gorgeous [PERIOD]
agreeable [IMPLY] difficult [PERIOD]
agreeable [AND] stormy [AND] comfortable [IMPLY] gifted [PERIOD]
agreeable [IMPLY] elated [PERIOD]
worried [AND] adorable [IMPLY] gifted [PERIOD]
gorgeous [AND] talkative [AND] plain [IMPLY] good [PERIOD]
troubled [IMPLY] witty [PERIOD]
strange [AND] talkative [IMPLY] plain [PERIOD]
strange [AND] dishonest [AND] worried [IMPLY] plain [PERIOD]
agreeable [AND] confused [IMPLY] adorable [PERIOD]
plain [AND] thoughtful [IMPLY] strange [PERIOD]
dishonest [AND] broad-minded [AND] plain [IMPLY] talkative [PERIOD]
difficult [AND] troubled [IMPLY] gifted [PERIOD]
confused [AND] troubled [IMPLY] proud [PERIOD]
disobedient [IMPLY] confused [PERIOD]
witty [AND] broad-minded [IMPLY] disobedient [PERIOD]
uptight [AND] dishonest [AND] difficult [IMPLY] plain [PERIOD]
thoughtful [AND] witty [AND] adorable [IMPLY] talkative [PERIOD]
uptight [IMPLY] hurt [PERIOD]
stormy [IMPLY] troubled [PERIOD]
confused [IMPLY] gorgeous [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “disobedient ⇒ talkative” because missing: disobedient.
   Cannot apply rule “confused ∧ pessimistic ⇒ talkative” because missing: confused, pessimistic.
   Cannot apply rule “worried ⇒ talkative” because missing: worried.
   Cannot apply rule “dishonest ∧ broad-minded ∧ plain ⇒ talkative” because missing: dishonest, broad-minded, plain.
   Cannot apply rule “thoughtful ∧ witty ∧ adorable ⇒ talkative” because missing: thoughtful, witty, adorable.
",0,5
"Facts:  Alice is popular [PERIOD] Alice is stubborn [PERIOD] Alice is pessimistic [PERIOD] Alice is broad-minded [PERIOD] Alice is zealous [PERIOD]
Rules:
popular [IMPLY] tame [PERIOD]
broad-minded [AND] scared [IMPLY] ugly [PERIOD]
rude [AND] scared [IMPLY] smart [PERIOD]
rude [AND] ugly [IMPLY] zealous [PERIOD]
rude [IMPLY] pessimistic [PERIOD]
outrageous [IMPLY] broad-minded [PERIOD]
fragile [AND] disobedient [IMPLY] impartial [PERIOD]
smart [IMPLY] stubborn [PERIOD]
scared [AND] shiny [AND] fragile [IMPLY] disobedient [PERIOD]
fragile [AND] tame [IMPLY] pessimistic [PERIOD]
tame [IMPLY] foolish [PERIOD]
scared [AND] broad-minded [AND] popular [IMPLY] difficult [PERIOD]
rude [AND] zealous [IMPLY] smart [PERIOD]
fragile [AND] foolish [AND] difficult [IMPLY] scared [PERIOD]
pessimistic [IMPLY] shiny [PERIOD]
scared [AND] zealous [IMPLY] smart [PERIOD]
difficult [AND] impartial [AND] outrageous [IMPLY] zealous [PERIOD]
popular [IMPLY] impartial [PERIOD]
zealous [AND] foolish [AND] scared [IMPLY] ugly [PERIOD]
difficult [AND] disobedient [AND] scared [IMPLY] outrageous [PERIOD]
tame [AND] rude [IMPLY] disobedient [PERIOD]
Query: Alice is popular [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
tired [IMPLY] stupid [PERIOD]
pessimistic [AND] agreeable [IMPLY] frightened [PERIOD]
selfish [AND] crowded [AND] elated [IMPLY] frightened [PERIOD]
adorable [AND] crowded [IMPLY] pessimistic [PERIOD]
agreeable [IMPLY] crowded [PERIOD]
tired [AND] adorable [IMPLY] stupid [PERIOD]
crowded [AND] agreeable [IMPLY] adorable [PERIOD]
elated [AND] selfish [IMPLY] tired [PERIOD]
crowded [AND] agreeable [AND] adorable [IMPLY] stupid [PERIOD]
agreeable [AND] elated [AND] selfish [IMPLY] tired [PERIOD]
tired [AND] stupid [IMPLY] selfish [PERIOD]
crowded [AND] pessimistic [AND] frightened [IMPLY] stupid [PERIOD]
agreeable [AND] adorable [IMPLY] stupid [PERIOD]
stupid [AND] selfish [IMPLY] agreeable [PERIOD]
pessimistic [IMPLY] tired [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   Cannot apply rule “tired ⇒ stupid” because missing: tired.
   Cannot apply rule “tired ∧ adorable ⇒ stupid” because missing: tired, adorable.
   Cannot apply rule “crowded ∧ agreeable ∧ adorable ⇒ stupid” because missing: crowded, agreeable, adorable.
   Cannot apply rule “crowded ∧ pessimistic ∧ frightened ⇒ stupid” because missing: crowded, pessimistic, frightened.
   Cannot apply rule “agreeable ∧ adorable ⇒ stupid” because missing: agreeable, adorable.
",0,5
"Facts:  Alice is alert [PERIOD]
Rules:
smart [AND] difficult [IMPLY] alert [PERIOD]
worrisome [IMPLY] bored [PERIOD]
hurt [AND] popular [IMPLY] elegant [PERIOD]
smart [AND] alert [AND] elegant [IMPLY] bored [PERIOD]
worrisome [AND] hurt [IMPLY] elegant [PERIOD]
popular [AND] bored [IMPLY] smart [PERIOD]
smart [IMPLY] bored [PERIOD]
worrisome [AND] elegant [IMPLY] difficult [PERIOD]
elegant [IMPLY] bored [PERIOD]
alert [AND] smart [AND] hurt [IMPLY] worrisome [PERIOD]
difficult [AND] popular [AND] smart [IMPLY] alert [PERIOD]
hurt [AND] smart [IMPLY] worrisome [PERIOD]
popular [AND] alert [IMPLY] worrisome [PERIOD]
hurt [AND] elegant [AND] difficult [IMPLY] worrisome [PERIOD]
difficult [AND] bored [IMPLY] smart [PERIOD]
alert [IMPLY] worrisome [PERIOD]
worrisome [IMPLY] elegant [PERIOD]
popular [IMPLY] smart [PERIOD]
worrisome [AND] hurt [AND] difficult [IMPLY] alert [PERIOD]
worrisome [AND] elegant [AND] difficult [IMPLY] bored [PERIOD]
bored [AND] elegant [AND] difficult [IMPLY] worrisome [PERIOD]
bored [AND] elegant [IMPLY] popular [PERIOD]
popular [IMPLY] alert [PERIOD]
alert [AND] worrisome [AND] hurt [IMPLY] difficult [PERIOD]
difficult [AND] smart [AND] hurt [IMPLY] worrisome [PERIOD]
popular [IMPLY] bored [PERIOD]
popular [IMPLY] elegant [PERIOD]
popular [AND] smart [AND] worrisome [IMPLY] alert [PERIOD]
alert [AND] worrisome [AND] elegant [IMPLY] difficult [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   alert ⇒ worrisome
   alert ⇒ worrisome
   worrisome ⇒ elegant
   worrisome ∧ elegant ⇒ difficult
",1,4
"Facts:  Alice is stubborn [PERIOD] Alice is clean [PERIOD] Alice is stupid [PERIOD] Alice is broad-minded [PERIOD] Alice is careless [PERIOD] Alice is amused [PERIOD] Alice is average [PERIOD] Alice is elated [PERIOD] Alice is diplomatic [PERIOD] Alice is lonely [PERIOD] Alice is different [PERIOD] Alice is elegant [PERIOD] Alice is shiny [PERIOD] Alice is modern [PERIOD] Alice is troubled [PERIOD] Alice is mysterious [PERIOD] Alice is straightforward [PERIOD] Alice is combative [PERIOD] Alice is hilarious [PERIOD] Alice is anxious [PERIOD] Alice is cruel [PERIOD] Alice is joyous [PERIOD] Alice is fine [PERIOD] Alice is bright [PERIOD]
Rules:
joyous [AND] straightforward [AND] careless [IMPLY] average [PERIOD]
different [AND] crowded [AND] broad-minded [IMPLY] shiny [PERIOD]
combative [AND] diplomatic [IMPLY] modern [PERIOD]
modern [AND] hilarious [IMPLY] lonely [PERIOD]
anxious [AND] hilarious [AND] bright [IMPLY] diplomatic [PERIOD]
broad-minded [AND] mysterious [IMPLY] average [PERIOD]
diplomatic [AND] shiny [AND] combative [IMPLY] hilarious [PERIOD]
different [AND] clean [AND] elegant [IMPLY] modern [PERIOD]
stupid [AND] combative [AND] anxious [IMPLY] fine [PERIOD]
different [AND] crowded [IMPLY] combative [PERIOD]
diplomatic [AND] stubborn [AND] elated [IMPLY] cruel [PERIOD]
careless [AND] diplomatic [AND] different [IMPLY] clean [PERIOD]
diplomatic [AND] anxious [IMPLY] combative [PERIOD]
elegant [IMPLY] hilarious [PERIOD]
elated [AND] cruel [IMPLY] diplomatic [PERIOD]
broad-minded [IMPLY] crowded [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is disgusted [PERIOD]
Rules:
easy [AND] powerful [IMPLY] crowded [PERIOD]
tense [AND] dishonest [AND] selfish [IMPLY] crowded [PERIOD]
powerful [IMPLY] selfish [PERIOD]
spotless [AND] selfish [AND] frail [IMPLY] crowded [PERIOD]
disgusted [AND] clumsy [AND] spotless [IMPLY] dishonest [PERIOD]
easy [IMPLY] enchanting [PERIOD]
old-fashioned [AND] enchanting [AND] clumsy [IMPLY] powerful [PERIOD]
clumsy [IMPLY] selfish [PERIOD]
lucky [AND] enchanting [AND] powerful [IMPLY] dishonest [PERIOD]
crowded [IMPLY] enchanting [PERIOD]
spotless [AND] old-fashioned [AND] lucky [IMPLY] selfish [PERIOD]
powerful [AND] clumsy [AND] lucky [IMPLY] selfish [PERIOD]
enchanting [AND] powerful [AND] disgusted [IMPLY] tense [PERIOD]
clumsy [IMPLY] enchanting [PERIOD]
powerful [IMPLY] crowded [PERIOD]
disgusted [AND] powerful [IMPLY] tense [PERIOD]
crowded [AND] spotless [AND] enchanting [IMPLY] selfish [PERIOD]
powerful [IMPLY] tense [PERIOD]
tense [IMPLY] easy [PERIOD]
frail [AND] disgusted [AND] clumsy [IMPLY] powerful [PERIOD]
disgusted [IMPLY] selfish [PERIOD]
disgusted [AND] enchanting [AND] frail [IMPLY] dishonest [PERIOD]
tense [AND] powerful [IMPLY] spotless [PERIOD]
spotless [AND] frail [AND] enchanting [IMPLY] lucky [PERIOD]
dishonest [IMPLY] powerful [PERIOD]
crowded [IMPLY] spotless [PERIOD]
dishonest [IMPLY] enchanting [PERIOD]
spotless [AND] disgusted [IMPLY] tense [PERIOD]
crowded [AND] old-fashioned [AND] tense [IMPLY] disgusted [PERIOD]
frail [IMPLY] clumsy [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   Cannot apply rule “easy ⇒ enchanting” because missing: easy.
   Cannot apply rule “crowded ⇒ enchanting” because missing: crowded.
   Cannot apply rule “clumsy ⇒ enchanting” because missing: clumsy.
   Cannot apply rule “dishonest ⇒ enchanting” because missing: dishonest.
",0,4
"Facts: 
Rules:
thoughtful [IMPLY] dull [PERIOD]
selfish [AND] combative [AND] gleaming [IMPLY] friendly [PERIOD]
average [AND] distinct [IMPLY] attractive [PERIOD]
outstanding [AND] selfish [AND] average [IMPLY] bossy [PERIOD]
smart [AND] bossy [AND] cute [IMPLY] average [PERIOD]
attractive [IMPLY] impatient [PERIOD]
reserved [AND] smart [AND] bossy [IMPLY] easy [PERIOD]
friendly [AND] easy [IMPLY] messy [PERIOD]
impatient [AND] fancy [IMPLY] homely [PERIOD]
difficult [AND] combative [IMPLY] homely [PERIOD]
fancy [AND] friendly [AND] messy [IMPLY] thoughtful [PERIOD]
average [IMPLY] friendly [PERIOD]
distinct [IMPLY] impatient [PERIOD]
friendly [AND] bossy [AND] reserved [IMPLY] dull [PERIOD]
beautiful [AND] attractive [IMPLY] dull [PERIOD]
beautiful [AND] selfish [AND] impatient [IMPLY] cute [PERIOD]
combative [AND] reserved [IMPLY] selfish [PERIOD]
attractive [IMPLY] uptight [PERIOD]
beautiful [IMPLY] combative [PERIOD]
homely [AND] average [AND] distinct [IMPLY] beautiful [PERIOD]
thoughtful [AND] quaint [IMPLY] cute [PERIOD]
fancy [IMPLY] bossy [PERIOD]
homely [AND] easy [AND] bossy [IMPLY] outstanding [PERIOD]
homely [AND] easy [IMPLY] friendly [PERIOD]
impatient [AND] easy [AND] dull [IMPLY] bossy [PERIOD]
impatient [IMPLY] easy [PERIOD]
distinct [AND] difficult [AND] reserved [IMPLY] homely [PERIOD]
smart [IMPLY] thoughtful [PERIOD]
dull [IMPLY] friendly [PERIOD]
attractive [AND] homely [IMPLY] beautiful [PERIOD]
beautiful [AND] outstanding [IMPLY] selfish [PERIOD]
thoughtful [AND] beautiful [AND] gleaming [IMPLY] attractive [PERIOD]
combative [IMPLY] easy [PERIOD]
friendly [IMPLY] cute [PERIOD]
easy [AND] selfish [IMPLY] combative [PERIOD]
selfish [AND] average [AND] smart [IMPLY] attractive [PERIOD]
impatient [IMPLY] attractive [PERIOD]
fancy [IMPLY] cute [PERIOD]
selfish [AND] combative [IMPLY] impatient [PERIOD]
reserved [AND] quaint [AND] easy [IMPLY] attractive [PERIOD]
smart [AND] messy [AND] easy [IMPLY] attractive [PERIOD]
combative [IMPLY] gleaming [PERIOD]
homely [AND] dull [IMPLY] fancy [PERIOD]
gleaming [AND] dull [AND] difficult [IMPLY] combative [PERIOD]
attractive [AND] difficult [AND] distinct [IMPLY] friendly [PERIOD]
cute [AND] friendly [IMPLY] gleaming [PERIOD]
impatient [AND] smart [AND] beautiful [IMPLY] attractive [PERIOD]
impatient [IMPLY] thoughtful [PERIOD]
smart [IMPLY] cute [PERIOD]
difficult [AND] reserved [AND] thoughtful [IMPLY] cute [PERIOD]
smart [AND] friendly [IMPLY] difficult [PERIOD]
combative [AND] quaint [AND] messy [IMPLY] attractive [PERIOD]
smart [AND] combative [AND] thoughtful [IMPLY] average [PERIOD]
fancy [AND] friendly [IMPLY] impatient [PERIOD]
distinct [IMPLY] friendly [PERIOD]
reserved [AND] impatient [AND] distinct [IMPLY] uptight [PERIOD]
average [AND] fancy [IMPLY] impatient [PERIOD]
thoughtful [AND] homely [IMPLY] friendly [PERIOD]
smart [AND] bossy [IMPLY] quaint [PERIOD]
average [AND] combative [AND] fancy [IMPLY] bossy [PERIOD]
combative [AND] uptight [IMPLY] attractive [PERIOD]
distinct [AND] smart [AND] gleaming [IMPLY] messy [PERIOD]
outstanding [AND] bossy [IMPLY] average [PERIOD]
uptight [AND] fancy [AND] homely [IMPLY] outstanding [PERIOD]
reserved [IMPLY] bossy [PERIOD]
fancy [AND] outstanding [AND] easy [IMPLY] dull [PERIOD]
easy [AND] attractive [IMPLY] thoughtful [PERIOD]
beautiful [AND] friendly [IMPLY] smart [PERIOD]
messy [IMPLY] gleaming [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
   Cannot apply rule “reserved ∧ smart ∧ bossy ⇒ easy” because missing: reserved, smart, bossy.
   Cannot apply rule “impatient ⇒ easy” because missing: impatient.
   Cannot apply rule “combative ⇒ easy” because missing: combative.
",0,3
"Facts:  Alice is sensible [PERIOD] Alice is spotless [PERIOD] Alice is alert [PERIOD] Alice is aggressive [PERIOD]
Rules:
uptight [AND] clumsy [IMPLY] ugly [PERIOD]
zealous [IMPLY] difficult [PERIOD]
ugly [AND] old-fashioned [AND] difficult [IMPLY] naughty [PERIOD]
uptight [AND] aggressive [AND] difficult [IMPLY] old-fashioned [PERIOD]
old-fashioned [IMPLY] sensible [PERIOD]
zealous [IMPLY] broad-minded [PERIOD]
difficult [AND] naughty [AND] sensible [IMPLY] bad-tempered [PERIOD]
alert [IMPLY] wandering [PERIOD]
zealous [AND] old-fashioned [IMPLY] alert [PERIOD]
uptight [AND] different [IMPLY] aggressive [PERIOD]
sensible [AND] zealous [AND] ugly [IMPLY] spotless [PERIOD]
impartial [AND] different [AND] broad-minded [IMPLY] easy [PERIOD]
intellectual [IMPLY] clumsy [PERIOD]
spotless [IMPLY] zealous [PERIOD]
agreeable [AND] spotless [AND] curious [IMPLY] easy [PERIOD]
difficult [AND] alert [IMPLY] wandering [PERIOD]
spotless [IMPLY] cruel [PERIOD]
sensible [AND] impartial [AND] ugly [IMPLY] different [PERIOD]
old-fashioned [AND] ugly [IMPLY] stubborn [PERIOD]
talkative [AND] strange [IMPLY] zealous [PERIOD]
aggressive [AND] curious [AND] alert [IMPLY] clumsy [PERIOD]
agreeable [AND] bad-tempered [AND] popular [IMPLY] wide-eyed [PERIOD]
alert [IMPLY] aggressive [PERIOD]
talkative [IMPLY] glamorous [PERIOD]
uptight [AND] naughty [IMPLY] zealous [PERIOD]
talkative [IMPLY] sensible [PERIOD]
glamorous [IMPLY] bad-tempered [PERIOD]
clumsy [IMPLY] difficult [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
   spotless ⇒ zealous
   zealous ⇒ broad-minded
   Cannot apply rule “impartial ∧ different ∧ broad-minded ⇒ easy” because missing: impartial, different.
   Cannot apply rule “agreeable ∧ spotless ∧ curious ⇒ easy” because missing: agreeable, curious.
",0,4
"Facts: 
Rules:
intellectual [IMPLY] bossy [PERIOD]
rational [AND] intellectual [IMPLY] pleasant [PERIOD]
intellectual [AND] rational [AND] pleasant [IMPLY] rude [PERIOD]
bossy [IMPLY] pleasant [PERIOD]
bossy [AND] intellectual [IMPLY] rational [PERIOD]
pleasant [AND] bossy [AND] intellectual [IMPLY] rational [PERIOD]
pleasant [IMPLY] bossy [PERIOD]
rude [AND] pleasant [IMPLY] intellectual [PERIOD]
rude [IMPLY] pleasant [PERIOD]
pleasant [AND] bossy [IMPLY] intellectual [PERIOD]
intellectual [AND] rude [AND] rational [IMPLY] pleasant [PERIOD]
pleasant [AND] rational [IMPLY] intellectual [PERIOD]
rational [IMPLY] intellectual [PERIOD]
bossy [IMPLY] intellectual [PERIOD]
bossy [IMPLY] rude [PERIOD]
bossy [AND] rational [AND] intellectual [IMPLY] pleasant [PERIOD]
rude [AND] pleasant [AND] bossy [IMPLY] intellectual [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   Cannot apply rule “rude ∧ pleasant ⇒ intellectual” because missing: rude, pleasant.
   Cannot apply rule “pleasant ∧ bossy ⇒ intellectual” because missing: pleasant, bossy.
   Cannot apply rule “pleasant ∧ rational ⇒ intellectual” because missing: pleasant, rational.
   Cannot apply rule “rational ⇒ intellectual” because missing: rational.
   Cannot apply rule “bossy ⇒ intellectual” because missing: bossy.
   Cannot apply rule “rude ∧ pleasant ∧ bossy ⇒ intellectual” because missing: rude, pleasant, bossy.
",0,6
"Facts:  Alice is shiny [PERIOD] Alice is reserved [PERIOD] Alice is enchanting [PERIOD] Alice is cruel [PERIOD] Alice is unpleasant [PERIOD] Alice is broad-minded [PERIOD] Alice is condemned [PERIOD] Alice is excited [PERIOD]
Rules:
easy [AND] unpleasant [AND] broad-minded [IMPLY] combative [PERIOD]
hypocritical [AND] excited [IMPLY] adorable [PERIOD]
unpleasant [IMPLY] excited [PERIOD]
excited [IMPLY] easy [PERIOD]
enchanting [IMPLY] selfish [PERIOD]
broad-minded [IMPLY] plain [PERIOD]
combative [AND] versatile [AND] plain [IMPLY] easy [PERIOD]
cruel [AND] enchanting [AND] unpleasant [IMPLY] combative [PERIOD]
plain [IMPLY] sensible [PERIOD]
curious [AND] enchanting [IMPLY] cruel [PERIOD]
hurt [AND] wandering [AND] easy [IMPLY] reserved [PERIOD]
curious [AND] selfish [AND] impatient [IMPLY] wandering [PERIOD]
combative [AND] confused [IMPLY] impatient [PERIOD]
easy [AND] helpless [AND] versatile [IMPLY] plain [PERIOD]
sensible [AND] combative [AND] excited [IMPLY] easy [PERIOD]
plain [AND] impatient [AND] shiny [IMPLY] confused [PERIOD]
broad-minded [AND] condemned [AND] easy [IMPLY] helpless [PERIOD]
selfish [IMPLY] sensible [PERIOD]
easy [IMPLY] shiny [PERIOD]
hurt [AND] impatient [IMPLY] condemned [PERIOD]
condemned [AND] unpleasant [IMPLY] thoughtful [PERIOD]
sensible [AND] enchanting [AND] broad-minded [IMPLY] combative [PERIOD]
hurt [IMPLY] condemned [PERIOD]
versatile [IMPLY] wandering [PERIOD]
condemned [AND] thoughtful [IMPLY] versatile [PERIOD]
straightforward [AND] enchanting [IMPLY] helpless [PERIOD]
condemned [AND] cruel [IMPLY] hurt [PERIOD]
easy [AND] helpless [AND] curious [IMPLY] impatient [PERIOD]
helpless [IMPLY] versatile [PERIOD]
condemned [AND] thoughtful [IMPLY] excited [PERIOD]
helpless [AND] easy [AND] condemned [IMPLY] wandering [PERIOD]
mysterious [IMPLY] thoughtful [PERIOD]
shiny [AND] hurt [IMPLY] wandering [PERIOD]
curious [AND] shiny [IMPLY] hurt [PERIOD]
curious [AND] shiny [IMPLY] broad-minded [PERIOD]
sensible [AND] thoughtful [IMPLY] curious [PERIOD]
confused [AND] impatient [AND] helpless [IMPLY] easy [PERIOD]
wandering [AND] plain [IMPLY] enchanting [PERIOD]
reserved [IMPLY] excited [PERIOD]
helpless [AND] grumpy [AND] plain [IMPLY] shiny [PERIOD]
adorable [AND] hypocritical [IMPLY] easy [PERIOD]
shiny [AND] unpleasant [AND] impatient [IMPLY] plain [PERIOD]
broad-minded [AND] adorable [AND] cruel [IMPLY] naughty [PERIOD]
adorable [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] mysterious [PERIOD]
confused [AND] shiny [IMPLY] versatile [PERIOD]
helpless [AND] combative [AND] cruel [IMPLY] sensible [PERIOD]
enchanting [AND] grumpy [IMPLY] broad-minded [PERIOD]
naughty [AND] broad-minded [AND] mysterious [IMPLY] curious [PERIOD]
wandering [AND] condemned [AND] combative [IMPLY] straightforward [PERIOD]
curious [AND] helpless [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] mysterious [PERIOD]
easy [AND] selfish [IMPLY] hypocritical [PERIOD]
easy [IMPLY] broad-minded [PERIOD]
excited [IMPLY] impatient [PERIOD]
easy [AND] excited [IMPLY] sensible [PERIOD]
shiny [AND] versatile [IMPLY] mysterious [PERIOD]
straightforward [AND] hurt [AND] grumpy [IMPLY] selfish [PERIOD]
versatile [IMPLY] easy [PERIOD]
sensible [IMPLY] naughty [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   excited ⇒ impatient
",1,1
"Facts: 
Rules:
curious [IMPLY] stormy [PERIOD]
stormy [AND] curious [IMPLY] foolish [PERIOD]
sincere [AND] easy [AND] crowded [IMPLY] fine [PERIOD]
helpless [AND] embarrassed [AND] tidy [IMPLY] stormy [PERIOD]
bad-tempered [AND] fine [AND] frantic [IMPLY] rational [PERIOD]
different [AND] ugliest [IMPLY] crowded [PERIOD]
sincere [IMPLY] tidy [PERIOD]
ugliest [IMPLY] outrageous [PERIOD]
frantic [AND] rational [IMPLY] foolish [PERIOD]
tidy [IMPLY] sincere [PERIOD]
stormy [AND] helpless [AND] sincere [IMPLY] fine [PERIOD]
curious [AND] outrageous [AND] sincere [IMPLY] crowded [PERIOD]
embarrassed [AND] fine [IMPLY] tidy [PERIOD]
ugliest [IMPLY] curious [PERIOD]
rational [IMPLY] innocent [PERIOD]
fine [AND] frantic [AND] stormy [IMPLY] dishonest [PERIOD]
homely [AND] frantic [AND] fine [IMPLY] tidy [PERIOD]
tidy [AND] sincere [IMPLY] foolish [PERIOD]
crowded [IMPLY] outrageous [PERIOD]
foolish [AND] helpless [IMPLY] homely [PERIOD]
ugliest [AND] unpleasant [AND] frantic [IMPLY] bad-tempered [PERIOD]
outrageous [AND] rational [IMPLY] dishonest [PERIOD]
different [AND] crowded [AND] helpless [IMPLY] sincere [PERIOD]
homely [IMPLY] bad-tempered [PERIOD]
stormy [AND] sincere [AND] bad-tempered [IMPLY] helpless [PERIOD]
crowded [AND] ugliest [AND] outrageous [IMPLY] rational [PERIOD]
helpless [AND] unpleasant [IMPLY] bad-tempered [PERIOD]
tidy [IMPLY] stormy [PERIOD]
outrageous [AND] sincere [IMPLY] crowded [PERIOD]
stormy [IMPLY] rational [PERIOD]
innocent [IMPLY] crowded [PERIOD]
homely [AND] rational [IMPLY] bad-tempered [PERIOD]
dishonest [AND] crowded [AND] curious [IMPLY] foolish [PERIOD]
embarrassed [AND] curious [AND] stormy [IMPLY] fragile [PERIOD]
bad-tempered [AND] foolish [AND] tidy [IMPLY] helpless [PERIOD]
bad-tempered [AND] homely [AND] sincere [IMPLY] embarrassed [PERIOD]
unpleasant [AND] homely [IMPLY] outrageous [PERIOD]
homely [AND] curious [AND] crowded [IMPLY] frantic [PERIOD]
bad-tempered [AND] curious [IMPLY] tidy [PERIOD]
innocent [IMPLY] ugliest [PERIOD]
fragile [AND] outrageous [IMPLY] stormy [PERIOD]
fragile [AND] sincere [IMPLY] unpleasant [PERIOD]
stormy [AND] easy [IMPLY] unpleasant [PERIOD]
curious [AND] ugliest [AND] foolish [IMPLY] homely [PERIOD]
fine [IMPLY] curious [PERIOD]
curious [IMPLY] outrageous [PERIOD]
sincere [AND] outrageous [AND] ugliest [IMPLY] dishonest [PERIOD]
curious [AND] easy [AND] fragile [IMPLY] outrageous [PERIOD]
fine [IMPLY] outrageous [PERIOD]
foolish [AND] stormy [AND] helpless [IMPLY] unpleasant [PERIOD]
stormy [AND] fragile [IMPLY] homely [PERIOD]
unpleasant [AND] sincere [AND] dishonest [IMPLY] embarrassed [PERIOD]
homely [IMPLY] fine [PERIOD]
helpless [AND] dishonest [AND] rational [IMPLY] homely [PERIOD]
stormy [AND] fine [IMPLY] sincere [PERIOD]
unpleasant [AND] easy [AND] embarrassed [IMPLY] curious [PERIOD]
fine [IMPLY] frantic [PERIOD]
curious [IMPLY] homely [PERIOD]
easy [IMPLY] bad-tempered [PERIOD]
dishonest [IMPLY] innocent [PERIOD]
foolish [AND] unpleasant [AND] easy [IMPLY] helpless [PERIOD]
crowded [AND] innocent [AND] easy [IMPLY] embarrassed [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   Cannot apply rule “bad-tempered ∧ homely ∧ sincere ⇒ embarrassed” because missing: bad-tempered, homely, sincere.
   Cannot apply rule “unpleasant ∧ sincere ∧ dishonest ⇒ embarrassed” because missing: unpleasant, sincere, dishonest.
   Cannot apply rule “crowded ∧ innocent ∧ easy ⇒ embarrassed” because missing: crowded, innocent, easy.
",0,3
"Facts:  Alice is hypocritical [PERIOD] Alice is pessimistic [PERIOD] Alice is wrong [PERIOD] Alice is agreeable [PERIOD] Alice is stormy [PERIOD]
Rules:
aggressive [AND] grumpy [IMPLY] agreeable [PERIOD]
curious [AND] pessimistic [IMPLY] diplomatic [PERIOD]
cute [IMPLY] diplomatic [PERIOD]
sensible [AND] pessimistic [IMPLY] aggressive [PERIOD]
diplomatic [IMPLY] pessimistic [PERIOD]
cute [AND] stormy [IMPLY] pessimistic [PERIOD]
tame [IMPLY] hypocritical [PERIOD]
curious [AND] fearless [AND] agreeable [IMPLY] tame [PERIOD]
cute [AND] sensible [AND] anxious [IMPLY] enchanting [PERIOD]
fearless [IMPLY] aggressive [PERIOD]
wrong [AND] pessimistic [AND] diplomatic [IMPLY] enchanting [PERIOD]
tame [IMPLY] diplomatic [PERIOD]
anxious [IMPLY] aggressive [PERIOD]
tame [AND] fearless [IMPLY] agreeable [PERIOD]
agreeable [AND] diplomatic [IMPLY] sensible [PERIOD]
cute [IMPLY] sensible [PERIOD]
wrong [AND] fearless [AND] pessimistic [IMPLY] cute [PERIOD]
hypocritical [AND] curious [IMPLY] agreeable [PERIOD]
anxious [AND] pessimistic [AND] agreeable [IMPLY] fearless [PERIOD]
tame [IMPLY] anxious [PERIOD]
hypocritical [AND] tame [IMPLY] wrong [PERIOD]
enchanting [IMPLY] tame [PERIOD]
enchanting [AND] anxious [IMPLY] cute [PERIOD]
ugliest [IMPLY] aggressive [PERIOD]
cute [IMPLY] stormy [PERIOD]
sensible [IMPLY] curious [PERIOD]
tame [IMPLY] wrong [PERIOD]
diplomatic [AND] grumpy [AND] wrong [IMPLY] cute [PERIOD]
sensible [AND] enchanting [IMPLY] pessimistic [PERIOD]
cute [AND] pessimistic [IMPLY] enchanting [PERIOD]
anxious [AND] diplomatic [IMPLY] fearless [PERIOD]
diplomatic [IMPLY] sensible [PERIOD]
stormy [AND] agreeable [IMPLY] aggressive [PERIOD]
ugliest [AND] curious [IMPLY] stormy [PERIOD]
enchanting [AND] hypocritical [IMPLY] fearless [PERIOD]
tame [AND] pessimistic [AND] aggressive [IMPLY] cute [PERIOD]
fearless [IMPLY] cute [PERIOD]
enchanting [IMPLY] anxious [PERIOD]
sensible [IMPLY] diplomatic [PERIOD]
aggressive [AND] tame [IMPLY] cute [PERIOD]
cute [AND] agreeable [AND] sensible [IMPLY] enchanting [PERIOD]
cute [IMPLY] aggressive [PERIOD]
wrong [AND] cute [IMPLY] pessimistic [PERIOD]
hypocritical [AND] wrong [AND] aggressive [IMPLY] pessimistic [PERIOD]
sensible [AND] curious [AND] cute [IMPLY] pessimistic [PERIOD]
hypocritical [IMPLY] grumpy [PERIOD]
ugliest [AND] sensible [AND] diplomatic [IMPLY] wrong [PERIOD]
tame [AND] cute [IMPLY] agreeable [PERIOD]
diplomatic [AND] cute [AND] sensible [IMPLY] curious [PERIOD]
ugliest [IMPLY] fearless [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   Cannot apply rule “cute ∧ sensible ∧ anxious ⇒ enchanting” because missing: cute, sensible, anxious.
   Cannot apply rule “wrong ∧ pessimistic ∧ diplomatic ⇒ enchanting” because missing: diplomatic.
   Cannot apply rule “cute ∧ pessimistic ⇒ enchanting” because missing: cute.
   Cannot apply rule “cute ∧ agreeable ∧ sensible ⇒ enchanting” because missing: cute, sensible.
",0,4
"Facts:  Alice is adorable [PERIOD] Alice is fragile [PERIOD] Alice is good [PERIOD] Alice is broad-minded [PERIOD] Alice is grumpy [PERIOD] Alice is worrisome [PERIOD] Alice is sincere [PERIOD]
Rules:
grumpy [AND] sincere [IMPLY] impatient [PERIOD]
fragile [IMPLY] alert [PERIOD]
intellectual [IMPLY] different [PERIOD]
hypocritical [IMPLY] impatient [PERIOD]
good [AND] different [AND] modern [IMPLY] fragile [PERIOD]
hypocritical [AND] enchanting [AND] good [IMPLY] alert [PERIOD]
alert [AND] unpleasant [AND] impatient [IMPLY] different [PERIOD]
alert [AND] different [AND] impatient [IMPLY] modern [PERIOD]
stormy [AND] confident [IMPLY] alert [PERIOD]
hypocritical [AND] alert [AND] quaint [IMPLY] stormy [PERIOD]
grumpy [AND] good [AND] confident [IMPLY] stormy [PERIOD]
impatient [AND] broad-minded [IMPLY] jittery [PERIOD]
sincere [IMPLY] enchanting [PERIOD]
adorable [IMPLY] worrisome [PERIOD]
good [AND] different [AND] jittery [IMPLY] inquisitive [PERIOD]
modern [AND] good [IMPLY] stormy [PERIOD]
confident [IMPLY] intellectual [PERIOD]
adorable [AND] enchanting [AND] intellectual [IMPLY] good [PERIOD]
famous [IMPLY] good [PERIOD]
good [IMPLY] adorable [PERIOD]
inquisitive [IMPLY] intellectual [PERIOD]
famous [AND] good [IMPLY] fragile [PERIOD]
alert [IMPLY] unpleasant [PERIOD]
good [AND] quaint [IMPLY] hypocritical [PERIOD]
modern [AND] fragile [AND] confident [IMPLY] stormy [PERIOD]
good [IMPLY] worrisome [PERIOD]
adorable [AND] sincere [IMPLY] jittery [PERIOD]
fragile [AND] quaint [AND] intellectual [IMPLY] inquisitive [PERIOD]
intellectual [IMPLY] impatient [PERIOD]
sincere [AND] fragile [AND] jittery [IMPLY] adorable [PERIOD]
grumpy [AND] modern [IMPLY] impatient [PERIOD]
famous [AND] impatient [IMPLY] hypocritical [PERIOD]
intellectual [AND] inquisitive [IMPLY] different [PERIOD]
famous [AND] confident [AND] hypocritical [IMPLY] worrisome [PERIOD]
jittery [AND] different [IMPLY] sincere [PERIOD]
different [AND] grumpy [IMPLY] inquisitive [PERIOD]
inquisitive [AND] fragile [IMPLY] intellectual [PERIOD]
unpleasant [IMPLY] good [PERIOD]
inquisitive [AND] jittery [IMPLY] quaint [PERIOD]
sincere [AND] alert [IMPLY] grumpy [PERIOD]
intellectual [AND] broad-minded [AND] inquisitive [IMPLY] different [PERIOD]
different [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] grumpy [PERIOD]
hypocritical [AND] famous [IMPLY] modern [PERIOD]
unpleasant [IMPLY] worrisome [PERIOD]
alert [AND] confident [AND] hypocritical [IMPLY] quaint [PERIOD]
unpleasant [AND] impatient [AND] inquisitive [IMPLY] stormy [PERIOD]
sincere [AND] impatient [AND] jittery [IMPLY] unpleasant [PERIOD]
worrisome [AND] broad-minded [IMPLY] alert [PERIOD]
famous [AND] sincere [AND] unpleasant [IMPLY] intellectual [PERIOD]
famous [AND] quaint [AND] stormy [IMPLY] inquisitive [PERIOD]
fragile [AND] hypocritical [IMPLY] jittery [PERIOD]
good [AND] intellectual [IMPLY] broad-minded [PERIOD]
stormy [AND] worrisome [AND] grumpy [IMPLY] quaint [PERIOD]
adorable [AND] worrisome [IMPLY] stormy [PERIOD]
different [IMPLY] famous [PERIOD]
alert [AND] jittery [IMPLY] good [PERIOD]
intellectual [AND] enchanting [AND] broad-minded [IMPLY] worrisome [PERIOD]
unpleasant [AND] stormy [IMPLY] jittery [PERIOD]
good [IMPLY] alert [PERIOD]
famous [AND] different [AND] stormy [IMPLY] adorable [PERIOD]
adorable [AND] modern [IMPLY] jittery [PERIOD]
grumpy [AND] impatient [AND] quaint [IMPLY] sincere [PERIOD]
good [IMPLY] unpleasant [PERIOD]
broad-minded [AND] impatient [IMPLY] alert [PERIOD]
sincere [AND] adorable [AND] quaint [IMPLY] grumpy [PERIOD]
stormy [AND] worrisome [AND] famous [IMPLY] adorable [PERIOD]
broad-minded [IMPLY] inquisitive [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   fragile ⇒ alert
   good ⇒ unpleasant
   grumpy ∧ sincere ⇒ impatient
   alert ∧ unpleasant ∧ impatient ⇒ different
   different ⇒ famous
",1,5
"Facts:  Alice is sleepy [PERIOD] Alice is different [PERIOD] Alice is friendly [PERIOD]
Rules:
busy [AND] excited [IMPLY] thoughtful [PERIOD]
cooperative [AND] powerful [AND] proud [IMPLY] different [PERIOD]
powerful [IMPLY] friendly [PERIOD]
excited [IMPLY] different [PERIOD]
different [AND] inquisitive [IMPLY] friendly [PERIOD]
different [IMPLY] friendly [PERIOD]
friendly [AND] powerful [IMPLY] sleepy [PERIOD]
cooperative [IMPLY] inquisitive [PERIOD]
powerful [AND] excited [IMPLY] proud [PERIOD]
grumpy [AND] friendly [IMPLY] excited [PERIOD]
powerful [AND] inquisitive [AND] different [IMPLY] dishonest [PERIOD]
busy [AND] grumpy [AND] inquisitive [IMPLY] sleepy [PERIOD]
proud [AND] cooperative [AND] dishonest [IMPLY] thoughtful [PERIOD]
friendly [AND] excited [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] powerful [PERIOD]
different [IMPLY] excited [PERIOD]
different [IMPLY] proud [PERIOD]
powerful [IMPLY] cooperative [PERIOD]
sleepy [AND] proud [AND] friendly [IMPLY] different [PERIOD]
busy [AND] proud [IMPLY] cooperative [PERIOD]
powerful [IMPLY] busy [PERIOD]
powerful [AND] excited [AND] friendly [IMPLY] different [PERIOD]
inquisitive [AND] proud [IMPLY] thoughtful [PERIOD]
grumpy [AND] thoughtful [IMPLY] powerful [PERIOD]
friendly [IMPLY] excited [PERIOD]
proud [IMPLY] thoughtful [PERIOD]
thoughtful [AND] excited [IMPLY] grumpy [PERIOD]
different [AND] grumpy [AND] sleepy [IMPLY] inquisitive [PERIOD]
dishonest [IMPLY] sleepy [PERIOD]
busy [IMPLY] dishonest [PERIOD]
inquisitive [IMPLY] busy [PERIOD]
dishonest [AND] inquisitive [IMPLY] busy [PERIOD]
busy [AND] thoughtful [IMPLY] friendly [PERIOD]
dishonest [AND] grumpy [AND] friendly [IMPLY] excited [PERIOD]
powerful [IMPLY] grumpy [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   different ⇒ excited
   friendly ∧ excited ⇒ thoughtful
   thoughtful ⇒ powerful
   powerful ⇒ busy
   busy ⇒ dishonest
",1,5
"Facts:  Alice is dishonest [PERIOD] Alice is hypocritical [PERIOD] Alice is strange [PERIOD] Alice is smart [PERIOD] Alice is impatient [PERIOD] Alice is comfortable [PERIOD] Alice is ugly [PERIOD]
Rules:
troubled [IMPLY] outstanding [PERIOD]
outstanding [AND] uptight [AND] hypocritical [IMPLY] strange [PERIOD]
outstanding [AND] strange [AND] worried [IMPLY] troubled [PERIOD]
dishonest [IMPLY] smart [PERIOD]
talkative [IMPLY] strange [PERIOD]
stubborn [AND] comfortable [AND] ugly [IMPLY] supportive [PERIOD]
supportive [IMPLY] quaint [PERIOD]
talkative [AND] grumpy [AND] impatient [IMPLY] worried [PERIOD]
dishonest [AND] ugly [AND] hypocritical [IMPLY] worried [PERIOD]
ugly [AND] dishonest [IMPLY] comfortable [PERIOD]
dishonest [AND] ugly [AND] comfortable [IMPLY] talkative [PERIOD]
uptight [AND] plain [AND] impatient [IMPLY] troubled [PERIOD]
stubborn [AND] troubled [AND] grumpy [IMPLY] comfortable [PERIOD]
cruel [AND] troubled [AND] worried [IMPLY] impatient [PERIOD]
wrong [AND] smart [IMPLY] grumpy [PERIOD]
talkative [AND] ugly [AND] impatient [IMPLY] bossy [PERIOD]
troubled [IMPLY] grumpy [PERIOD]
impatient [AND] dishonest [IMPLY] troubled [PERIOD]
impatient [AND] supportive [AND] cruel [IMPLY] plain [PERIOD]
worried [AND] comfortable [AND] uptight [IMPLY] impatient [PERIOD]
impatient [AND] worried [AND] smart [IMPLY] hypocritical [PERIOD]
supportive [AND] stubborn [IMPLY] grumpy [PERIOD]
outstanding [IMPLY] worried [PERIOD]
comfortable [AND] dishonest [AND] outstanding [IMPLY] uptight [PERIOD]
talkative [AND] plain [IMPLY] wrong [PERIOD]
grumpy [IMPLY] bossy [PERIOD]
hypocritical [AND] smart [IMPLY] bossy [PERIOD]
impatient [AND] cruel [AND] strange [IMPLY] supportive [PERIOD]
cruel [AND] hypocritical [IMPLY] bossy [PERIOD]
ugly [IMPLY] comfortable [PERIOD]
troubled [AND] supportive [IMPLY] grumpy [PERIOD]
comfortable [AND] strange [IMPLY] troubled [PERIOD]
talkative [AND] grumpy [AND] wrong [IMPLY] bossy [PERIOD]
dishonest [AND] cruel [AND] supportive [IMPLY] hypocritical [PERIOD]
ugly [AND] strange [AND] uptight [IMPLY] dishonest [PERIOD]
plain [IMPLY] wrong [PERIOD]
wrong [AND] uptight [IMPLY] stubborn [PERIOD]
worried [IMPLY] supportive [PERIOD]
hypocritical [AND] uptight [IMPLY] worried [PERIOD]
ugly [IMPLY] quaint [PERIOD]
stubborn [AND] bossy [IMPLY] comfortable [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   impatient ∧ dishonest ⇒ troubled
   troubled ⇒ outstanding
   comfortable ∧ dishonest ∧ outstanding ⇒ uptight
",1,3
"Facts:  Alice is hurt [PERIOD]
Rules:
diplomatic [AND] cute [AND] outrageous [IMPLY] hurt [PERIOD]
famous [IMPLY] good [PERIOD]
helpful [IMPLY] pessimistic [PERIOD]
outrageous [IMPLY] confident [PERIOD]
outrageous [AND] fearless [IMPLY] different [PERIOD]
famous [AND] pessimistic [AND] different [IMPLY] outstanding [PERIOD]
bored [AND] outrageous [IMPLY] good [PERIOD]
outrageous [AND] elated [AND] popular [IMPLY] sensible [PERIOD]
popular [AND] ugly [AND] sensible [IMPLY] different [PERIOD]
hurt [AND] horrible [IMPLY] pessimistic [PERIOD]
good [AND] helpful [IMPLY] vivacious [PERIOD]
cute [AND] different [AND] good [IMPLY] elated [PERIOD]
horrible [IMPLY] outrageous [PERIOD]
horrible [AND] diplomatic [AND] hurt [IMPLY] fearless [PERIOD]
good [AND] outrageous [AND] diplomatic [IMPLY] popular [PERIOD]
helpful [AND] outstanding [IMPLY] ugly [PERIOD]
sensible [IMPLY] hurt [PERIOD]
outrageous [AND] famous [IMPLY] helpful [PERIOD]
confident [AND] horrible [AND] hurt [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] hurt [PERIOD]
hurt [IMPLY] elated [PERIOD]
elated [AND] hurt [IMPLY] ugly [PERIOD]
horrible [AND] different [IMPLY] outstanding [PERIOD]
horrible [AND] outstanding [AND] elated [IMPLY] vivacious [PERIOD]
glamorous [IMPLY] pessimistic [PERIOD]
helpful [AND] different [AND] fearless [IMPLY] hurt [PERIOD]
sensible [AND] popular [AND] hurt [IMPLY] glamorous [PERIOD]
diplomatic [AND] outrageous [AND] sensible [IMPLY] confident [PERIOD]
glamorous [AND] fearless [AND] bored [IMPLY] famous [PERIOD]
cute [AND] confident [AND] horrible [IMPLY] outstanding [PERIOD]
diplomatic [IMPLY] outrageous [PERIOD]
different [IMPLY] helpful [PERIOD]
glamorous [IMPLY] ugly [PERIOD]
different [AND] pessimistic [AND] helpful [IMPLY] popular [PERIOD]
glamorous [IMPLY] confident [PERIOD]
outrageous [IMPLY] famous [PERIOD]
helpful [IMPLY] horrible [PERIOD]
hurt [AND] outrageous [IMPLY] different [PERIOD]
pessimistic [AND] famous [IMPLY] outrageous [PERIOD]
ugly [AND] different [IMPLY] glamorous [PERIOD]
outrageous [AND] popular [AND] bored [IMPLY] pessimistic [PERIOD]
pessimistic [AND] horrible [IMPLY] bored [PERIOD]
fearless [AND] ugly [IMPLY] famous [PERIOD]
diplomatic [AND] helpful [AND] fearless [IMPLY] good [PERIOD]
sensible [AND] fearless [IMPLY] famous [PERIOD]
hurt [AND] bored [IMPLY] cute [PERIOD]
horrible [IMPLY] confident [PERIOD]
different [AND] outrageous [IMPLY] fearless [PERIOD]
Query: Alice is helpful [PERIOD]","Proof chain:
   Cannot apply rule “outrageous ∧ famous ⇒ helpful” because missing: outrageous, famous.
   Cannot apply rule “different ⇒ helpful” because missing: different.
",0,2
"Facts: 
Rules:
gleaming [AND] stubborn [AND] worried [IMPLY] rational [PERIOD]
talented [IMPLY] hurt [PERIOD]
rational [AND] worried [AND] loving [IMPLY] friendly [PERIOD]
anxious [AND] enchanting [IMPLY] loving [PERIOD]
gleaming [IMPLY] adorable [PERIOD]
modern [AND] worried [IMPLY] adorable [PERIOD]
rational [AND] adorable [IMPLY] friendly [PERIOD]
enchanting [IMPLY] loving [PERIOD]
stubborn [IMPLY] modern [PERIOD]
enchanting [AND] stubborn [IMPLY] gleaming [PERIOD]
rational [IMPLY] loving [PERIOD]
loving [AND] talented [AND] stubborn [IMPLY] gleaming [PERIOD]
stubborn [AND] talented [IMPLY] strange [PERIOD]
loving [AND] worried [IMPLY] adorable [PERIOD]
hurt [IMPLY] talented [PERIOD]
jittery [AND] strange [IMPLY] gleaming [PERIOD]
stubborn [IMPLY] talented [PERIOD]
friendly [IMPLY] adorable [PERIOD]
enchanting [AND] jittery [AND] modern [IMPLY] loving [PERIOD]
anxious [IMPLY] worried [PERIOD]
stubborn [IMPLY] worried [PERIOD]
loving [IMPLY] worried [PERIOD]
rational [AND] adorable [AND] modern [IMPLY] anxious [PERIOD]
loving [IMPLY] friendly [PERIOD]
gleaming [AND] talented [IMPLY] loving [PERIOD]
stubborn [AND] modern [IMPLY] talented [PERIOD]
strange [AND] loving [AND] talented [IMPLY] modern [PERIOD]
enchanting [AND] friendly [IMPLY] worried [PERIOD]
hurt [AND] strange [AND] worried [IMPLY] friendly [PERIOD]
enchanting [IMPLY] modern [PERIOD]
enchanting [IMPLY] stubborn [PERIOD]
gleaming [IMPLY] talented [PERIOD]
loving [AND] worried [AND] strange [IMPLY] jittery [PERIOD]
rational [AND] talented [AND] enchanting [IMPLY] modern [PERIOD]
enchanting [IMPLY] adorable [PERIOD]
stubborn [AND] gleaming [IMPLY] jittery [PERIOD]
adorable [AND] talented [AND] loving [IMPLY] stubborn [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   Cannot apply rule “anxious ∧ enchanting ⇒ loving” because missing: anxious, enchanting.
   Cannot apply rule “enchanting ⇒ loving” because missing: enchanting.
   Cannot apply rule “rational ⇒ loving” because missing: rational.
   Cannot apply rule “enchanting ∧ jittery ∧ modern ⇒ loving” because missing: enchanting, jittery, modern.
   Cannot apply rule “gleaming ∧ talented ⇒ loving” because missing: gleaming, talented.
",0,5
"Facts:  Alice is distinct [PERIOD] Alice is hurt [PERIOD] Alice is mean [PERIOD] Alice is friendly [PERIOD] Alice is wide-eyed [PERIOD] Alice is weary [PERIOD] Alice is courageous [PERIOD]
Rules:
frail [AND] crowded [AND] blushing [IMPLY] frantic [PERIOD]
hurt [IMPLY] diplomatic [PERIOD]
courageous [AND] friendly [IMPLY] sleepy [PERIOD]
frantic [AND] courageous [IMPLY] rude [PERIOD]
mean [AND] weary [IMPLY] lonely [PERIOD]
pleasant [IMPLY] sleepy [PERIOD]
zealous [AND] elegant [IMPLY] long [PERIOD]
friendly [AND] rude [IMPLY] long [PERIOD]
friendly [IMPLY] wide-eyed [PERIOD]
strange [AND] zealous [IMPLY] blushing [PERIOD]
rude [IMPLY] diplomatic [PERIOD]
sleepy [AND] frantic [AND] frail [IMPLY] precious [PERIOD]
wide-eyed [IMPLY] lonely [PERIOD]
elegant [AND] crowded [IMPLY] hurt [PERIOD]
elegant [IMPLY] gorgeous [PERIOD]
difficult [IMPLY] blushing [PERIOD]
naughty [AND] long [IMPLY] distinct [PERIOD]
sleepy [AND] precious [AND] zealous [IMPLY] grumpy [PERIOD]
rude [AND] friendly [AND] crowded [IMPLY] difficult [PERIOD]
diplomatic [IMPLY] mean [PERIOD]
grumpy [IMPLY] rude [PERIOD]
lonely [AND] grumpy [IMPLY] smart [PERIOD]
elegant [AND] innocent [IMPLY] precious [PERIOD]
friendly [AND] diplomatic [IMPLY] courageous [PERIOD]
weary [AND] friendly [AND] grumpy [IMPLY] serious [PERIOD]
blushing [AND] innocent [AND] pleasant [IMPLY] grumpy [PERIOD]
innocent [AND] crowded [IMPLY] diplomatic [PERIOD]
crowded [AND] innocent [IMPLY] frail [PERIOD]
pleasant [AND] naughty [IMPLY] innocent [PERIOD]
pleasant [AND] blushing [IMPLY] weary [PERIOD]
crowded [AND] long [AND] elegant [IMPLY] frantic [PERIOD]
difficult [AND] strange [IMPLY] long [PERIOD]
friendly [AND] sleepy [IMPLY] blushing [PERIOD]
blushing [AND] frail [IMPLY] innocent [PERIOD]
distinct [AND] strange [IMPLY] smart [PERIOD]
elegant [IMPLY] long [PERIOD]
gorgeous [AND] crowded [AND] innocent [IMPLY] long [PERIOD]
gorgeous [IMPLY] sleepy [PERIOD]
frantic [IMPLY] crowded [PERIOD]
frantic [AND] grumpy [IMPLY] serious [PERIOD]
rude [IMPLY] sleepy [PERIOD]
hurt [AND] rude [AND] elegant [IMPLY] difficult [PERIOD]
innocent [AND] distinct [IMPLY] diplomatic [PERIOD]
zealous [IMPLY] innocent [PERIOD]
weary [AND] precious [AND] friendly [IMPLY] smart [PERIOD]
mean [AND] distinct [AND] innocent [IMPLY] hurt [PERIOD]
zealous [IMPLY] friendly [PERIOD]
grumpy [IMPLY] precious [PERIOD]
weary [AND] frail [AND] smart [IMPLY] frantic [PERIOD]
blushing [AND] strange [AND] mean [IMPLY] pleasant [PERIOD]
zealous [IMPLY] grumpy [PERIOD]
distinct [AND] diplomatic [IMPLY] naughty [PERIOD]
rude [AND] courageous [AND] frail [IMPLY] zealous [PERIOD]
elegant [AND] blushing [AND] pleasant [IMPLY] gorgeous [PERIOD]
wide-eyed [AND] hurt [AND] serious [IMPLY] elegant [PERIOD]
frantic [AND] wide-eyed [AND] sleepy [IMPLY] crowded [PERIOD]
smart [AND] pleasant [AND] frantic [IMPLY] sleepy [PERIOD]
courageous [IMPLY] hurt [PERIOD]
zealous [IMPLY] rude [PERIOD]
difficult [AND] distinct [IMPLY] sleepy [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   courageous ∧ friendly ⇒ sleepy
   friendly ∧ sleepy ⇒ blushing
   Cannot apply rule “frail ∧ crowded ∧ blushing ⇒ frantic” because missing: frail, crowded.
   Cannot apply rule “crowded ∧ long ∧ elegant ⇒ frantic” because missing: crowded, long, elegant.
   Cannot apply rule “weary ∧ frail ∧ smart ⇒ frantic” because missing: frail, smart.
",0,5
"Facts:  Alice is perfect [PERIOD] Alice is disobedient [PERIOD] Alice is lucky [PERIOD] Alice is light [PERIOD] Alice is joyous [PERIOD] Alice is frail [PERIOD] Alice is comfortable [PERIOD] Alice is cruel [PERIOD] Alice is blushing [PERIOD] Alice is courageous [PERIOD] Alice is disgusted [PERIOD] Alice is sleepy [PERIOD]
Rules:
perfect [IMPLY] frail [PERIOD]
light [AND] frail [AND] perfect [IMPLY] cruel [PERIOD]
blushing [AND] cruel [AND] sleepy [IMPLY] perfect [PERIOD]
blushing [AND] naughty [AND] joyous [IMPLY] sleepy [PERIOD]
frail [AND] sleepy [AND] perfect [IMPLY] lucky [PERIOD]
frail [AND] blushing [IMPLY] sleepy [PERIOD]
cruel [AND] frail [AND] comfortable [IMPLY] disgusted [PERIOD]
courageous [AND] cruel [AND] joyous [IMPLY] sleepy [PERIOD]
comfortable [AND] frail [AND] disgusted [IMPLY] courageous [PERIOD]
perfect [AND] comfortable [AND] lucky [IMPLY] cruel [PERIOD]
blushing [IMPLY] sleepy [PERIOD]
lucky [AND] joyous [IMPLY] disgusted [PERIOD]
courageous [AND] sleepy [AND] frail [IMPLY] disgusted [PERIOD]
frail [AND] lucky [AND] courageous [IMPLY] cruel [PERIOD]
frail [IMPLY] comfortable [PERIOD]
courageous [AND] sleepy [AND] disobedient [IMPLY] lucky [PERIOD]
blushing [AND] perfect [AND] cruel [IMPLY] comfortable [PERIOD]
cruel [IMPLY] courageous [PERIOD]
disobedient [AND] blushing [AND] cruel [IMPLY] lucky [PERIOD]
light [AND] joyous [IMPLY] cruel [PERIOD]
light [IMPLY] disobedient [PERIOD]
comfortable [AND] sleepy [IMPLY] courageous [PERIOD]
joyous [IMPLY] blushing [PERIOD]
lucky [AND] comfortable [AND] perfect [IMPLY] naughty [PERIOD]
comfortable [AND] joyous [IMPLY] frail [PERIOD]
cruel [AND] perfect [AND] courageous [IMPLY] lucky [PERIOD]
naughty [AND] sleepy [AND] comfortable [IMPLY] lucky [PERIOD]
disgusted [AND] lucky [IMPLY] cruel [PERIOD]
courageous [AND] naughty [IMPLY] perfect [PERIOD]
perfect [AND] disobedient [AND] naughty [IMPLY] lucky [PERIOD]
comfortable [AND] sleepy [AND] blushing [IMPLY] courageous [PERIOD]
disobedient [AND] naughty [AND] joyous [IMPLY] cruel [PERIOD]
sleepy [AND] light [AND] disgusted [IMPLY] joyous [PERIOD]
lucky [AND] joyous [AND] blushing [IMPLY] frail [PERIOD]
cruel [IMPLY] perfect [PERIOD]
sleepy [IMPLY] lucky [PERIOD]
perfect [AND] blushing [AND] frail [IMPLY] joyous [PERIOD]
joyous [AND] disobedient [AND] blushing [IMPLY] lucky [PERIOD]
frail [AND] lucky [IMPLY] perfect [PERIOD]
joyous [AND] naughty [IMPLY] disgusted [PERIOD]
joyous [IMPLY] disobedient [PERIOD]
naughty [AND] disgusted [AND] frail [IMPLY] lucky [PERIOD]
joyous [IMPLY] comfortable [PERIOD]
courageous [IMPLY] comfortable [PERIOD]
cruel [AND] lucky [IMPLY] perfect [PERIOD]
cruel [AND] disobedient [AND] lucky [IMPLY] frail [PERIOD]
frail [IMPLY] light [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is precious [PERIOD] Alice is careless [PERIOD] Alice is famous [PERIOD] Alice is easy [PERIOD] Alice is loving [PERIOD] Alice is gifted [PERIOD] Alice is selfish [PERIOD]
Rules:
impatient [IMPLY] loving [PERIOD]
polite [AND] outrageous [IMPLY] famous [PERIOD]
thoughtful [AND] stubborn [IMPLY] selfish [PERIOD]
outrageous [IMPLY] easy [PERIOD]
loving [IMPLY] gifted [PERIOD]
thoughtful [AND] precious [AND] charming [IMPLY] careless [PERIOD]
polite [AND] careless [IMPLY] charming [PERIOD]
stubborn [AND] polite [IMPLY] impatient [PERIOD]
adorable [AND] careless [AND] polite [IMPLY] wandering [PERIOD]
selfish [AND] thoughtful [AND] precious [IMPLY] gifted [PERIOD]
easy [AND] polite [IMPLY] precious [PERIOD]
gifted [IMPLY] impatient [PERIOD]
careless [AND] loving [IMPLY] gifted [PERIOD]
easy [AND] impatient [AND] loving [IMPLY] polite [PERIOD]
wandering [AND] outrageous [AND] famous [IMPLY] loving [PERIOD]
precious [AND] wandering [AND] careless [IMPLY] charming [PERIOD]
easy [AND] famous [AND] outrageous [IMPLY] stubborn [PERIOD]
careless [IMPLY] thoughtful [PERIOD]
precious [IMPLY] selfish [PERIOD]
gifted [AND] loving [IMPLY] selfish [PERIOD]
wandering [AND] famous [AND] outrageous [IMPLY] polite [PERIOD]
polite [AND] precious [AND] thoughtful [IMPLY] stubborn [PERIOD]
polite [AND] gifted [IMPLY] outrageous [PERIOD]
selfish [IMPLY] adorable [PERIOD]
gifted [AND] outrageous [IMPLY] stubborn [PERIOD]
careless [AND] precious [AND] thoughtful [IMPLY] outrageous [PERIOD]
selfish [AND] impatient [AND] thoughtful [IMPLY] precious [PERIOD]
loving [AND] precious [AND] charming [IMPLY] outrageous [PERIOD]
thoughtful [IMPLY] selfish [PERIOD]
loving [AND] charming [IMPLY] thoughtful [PERIOD]
polite [IMPLY] adorable [PERIOD]
selfish [AND] stubborn [IMPLY] thoughtful [PERIOD]
famous [AND] impatient [AND] wandering [IMPLY] charming [PERIOD]
gifted [AND] easy [AND] outrageous [IMPLY] charming [PERIOD]
selfish [AND] impatient [AND] loving [IMPLY] gifted [PERIOD]
precious [IMPLY] polite [PERIOD]
loving [AND] polite [IMPLY] thoughtful [PERIOD]
polite [AND] gifted [AND] outrageous [IMPLY] precious [PERIOD]
careless [AND] adorable [IMPLY] easy [PERIOD]
polite [AND] gifted [AND] wandering [IMPLY] careless [PERIOD]
gifted [IMPLY] polite [PERIOD]
adorable [AND] impatient [AND] wandering [IMPLY] charming [PERIOD]
outrageous [IMPLY] famous [PERIOD]
gifted [AND] selfish [IMPLY] stubborn [PERIOD]
gifted [IMPLY] careless [PERIOD]
thoughtful [AND] adorable [AND] polite [IMPLY] easy [PERIOD]
charming [IMPLY] outrageous [PERIOD]
adorable [IMPLY] gifted [PERIOD]
charming [AND] famous [AND] selfish [IMPLY] wandering [PERIOD]
stubborn [AND] loving [AND] outrageous [IMPLY] careless [PERIOD]
wandering [IMPLY] selfish [PERIOD]
thoughtful [AND] famous [AND] impatient [IMPLY] careless [PERIOD]
polite [IMPLY] impatient [PERIOD]
gifted [AND] easy [IMPLY] thoughtful [PERIOD]
Query: Alice is adorable [PERIOD]","Proof chain:
   selfish ⇒ adorable
",1,1
"Facts: 
Rules:
careless [IMPLY] uptight [PERIOD]
uptight [AND] worrisome [IMPLY] careless [PERIOD]
muddy [IMPLY] disobedient [PERIOD]
adorable [AND] plain [IMPLY] disobedient [PERIOD]
muddy [IMPLY] worrisome [PERIOD]
uptight [IMPLY] disobedient [PERIOD]
careless [AND] adorable [IMPLY] plain [PERIOD]
adorable [AND] careless [IMPLY] worrisome [PERIOD]
disobedient [AND] uptight [IMPLY] worrisome [PERIOD]
adorable [AND] muddy [AND] worrisome [IMPLY] disobedient [PERIOD]
adorable [IMPLY] disobedient [PERIOD]
uptight [AND] plain [IMPLY] careless [PERIOD]
worrisome [AND] muddy [IMPLY] disobedient [PERIOD]
uptight [AND] adorable [AND] disobedient [IMPLY] worrisome [PERIOD]
muddy [AND] plain [AND] careless [IMPLY] adorable [PERIOD]
plain [IMPLY] worrisome [PERIOD]
uptight [IMPLY] worrisome [PERIOD]
muddy [IMPLY] careless [PERIOD]
disobedient [AND] careless [IMPLY] plain [PERIOD]
worrisome [AND] disobedient [AND] muddy [IMPLY] plain [PERIOD]
uptight [AND] worrisome [AND] careless [IMPLY] adorable [PERIOD]
worrisome [IMPLY] careless [PERIOD]
adorable [AND] worrisome [AND] careless [IMPLY] muddy [PERIOD]
muddy [IMPLY] plain [PERIOD]
careless [AND] muddy [AND] disobedient [IMPLY] worrisome [PERIOD]
adorable [AND] uptight [IMPLY] disobedient [PERIOD]
plain [IMPLY] uptight [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   Cannot apply rule “muddy ⇒ disobedient” because missing: muddy.
   Cannot apply rule “adorable ∧ plain ⇒ disobedient” because missing: adorable, plain.
   Cannot apply rule “uptight ⇒ disobedient” because missing: uptight.
   Cannot apply rule “adorable ∧ muddy ∧ worrisome ⇒ disobedient” because missing: adorable, muddy, worrisome.
   Cannot apply rule “adorable ⇒ disobedient” because missing: adorable.
   Cannot apply rule “worrisome ∧ muddy ⇒ disobedient” because missing: worrisome, muddy.
   Cannot apply rule “adorable ∧ uptight ⇒ disobedient” because missing: adorable, uptight.
",0,7
"Facts:  Alice is grumpy [PERIOD]
Rules:
helpful [AND] hypocritical [AND] aggressive [IMPLY] different [PERIOD]
aggressive [IMPLY] stubborn [PERIOD]
smart [IMPLY] helpful [PERIOD]
cruel [AND] loving [IMPLY] shy [PERIOD]
sincere [AND] victorious [AND] hypocritical [IMPLY] loving [PERIOD]
different [IMPLY] cruel [PERIOD]
powerful [AND] victorious [AND] reserved [IMPLY] mean [PERIOD]
helpful [AND] shy [IMPLY] fragile [PERIOD]
stubborn [IMPLY] victorious [PERIOD]
mean [AND] hypocritical [AND] reserved [IMPLY] loving [PERIOD]
mean [IMPLY] grumpy [PERIOD]
aggressive [IMPLY] reserved [PERIOD]
stubborn [AND] powerful [AND] exuberant [IMPLY] shy [PERIOD]
grumpy [AND] mean [AND] sincere [IMPLY] stubborn [PERIOD]
stubborn [AND] hypocritical [IMPLY] silly [PERIOD]
cruel [AND] shy [AND] powerful [IMPLY] stubborn [PERIOD]
stubborn [AND] grumpy [IMPLY] fragile [PERIOD]
loving [AND] distinct [IMPLY] different [PERIOD]
cruel [IMPLY] loving [PERIOD]
mean [IMPLY] reserved [PERIOD]
aggressive [IMPLY] different [PERIOD]
fragile [AND] grumpy [AND] mean [IMPLY] shy [PERIOD]
hypocritical [AND] reserved [IMPLY] exuberant [PERIOD]
cruel [AND] reserved [AND] distinct [IMPLY] helpful [PERIOD]
stubborn [AND] fragile [IMPLY] smart [PERIOD]
shy [AND] aggressive [IMPLY] powerful [PERIOD]
shy [AND] stubborn [IMPLY] different [PERIOD]
different [AND] cruel [AND] loving [IMPLY] fragile [PERIOD]
loving [IMPLY] silly [PERIOD]
sincere [IMPLY] silly [PERIOD]
loving [IMPLY] fragile [PERIOD]
helpful [AND] reserved [IMPLY] grumpy [PERIOD]
powerful [IMPLY] grumpy [PERIOD]
shy [AND] hypocritical [IMPLY] victorious [PERIOD]
sincere [IMPLY] hypocritical [PERIOD]
sincere [AND] mean [IMPLY] loving [PERIOD]
grumpy [AND] shy [AND] silly [IMPLY] fragile [PERIOD]
reserved [AND] exuberant [AND] helpful [IMPLY] powerful [PERIOD]
victorious [AND] different [IMPLY] aggressive [PERIOD]
victorious [AND] silly [IMPLY] smart [PERIOD]
grumpy [AND] victorious [IMPLY] cruel [PERIOD]
cruel [AND] helpful [IMPLY] shy [PERIOD]
victorious [IMPLY] sincere [PERIOD]
aggressive [IMPLY] mean [PERIOD]
sincere [AND] silly [AND] mean [IMPLY] fragile [PERIOD]
smart [IMPLY] mean [PERIOD]
different [AND] victorious [AND] shy [IMPLY] cruel [PERIOD]
distinct [IMPLY] reserved [PERIOD]
smart [IMPLY] reserved [PERIOD]
helpful [IMPLY] smart [PERIOD]
sincere [IMPLY] stubborn [PERIOD]
victorious [AND] grumpy [IMPLY] shy [PERIOD]
different [IMPLY] fragile [PERIOD]
cruel [IMPLY] silly [PERIOD]
loving [AND] helpful [AND] powerful [IMPLY] stubborn [PERIOD]
loving [AND] aggressive [AND] grumpy [IMPLY] sincere [PERIOD]
aggressive [IMPLY] hypocritical [PERIOD]
mean [AND] cruel [AND] exuberant [IMPLY] victorious [PERIOD]
mean [IMPLY] powerful [PERIOD]
different [AND] helpful [AND] victorious [IMPLY] distinct [PERIOD]
powerful [IMPLY] victorious [PERIOD]
aggressive [AND] hypocritical [IMPLY] sincere [PERIOD]
reserved [AND] victorious [IMPLY] hypocritical [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   Cannot apply rule “helpful ∧ shy ⇒ fragile” because missing: helpful, shy.
   Cannot apply rule “stubborn ∧ grumpy ⇒ fragile” because missing: stubborn.
   Cannot apply rule “different ∧ cruel ∧ loving ⇒ fragile” because missing: different, cruel, loving.
   Cannot apply rule “loving ⇒ fragile” because missing: loving.
   Cannot apply rule “grumpy ∧ shy ∧ silly ⇒ fragile” because missing: shy, silly.
   Cannot apply rule “sincere ∧ silly ∧ mean ⇒ fragile” because missing: sincere, silly, mean.
   Cannot apply rule “different ⇒ fragile” because missing: different.
",0,7
"Facts: 
Rules:
curious [IMPLY] frail [PERIOD]
frail [AND] curious [IMPLY] supportive [PERIOD]
quaint [AND] frail [IMPLY] curious [PERIOD]
blushing [AND] frail [AND] supportive [IMPLY] curious [PERIOD]
blushing [AND] curious [IMPLY] frail [PERIOD]
frail [IMPLY] blushing [PERIOD]
curious [AND] blushing [AND] quaint [IMPLY] frail [PERIOD]
blushing [IMPLY] frail [PERIOD]
curious [IMPLY] blushing [PERIOD]
curious [AND] quaint [AND] frail [IMPLY] supportive [PERIOD]
quaint [AND] blushing [AND] supportive [IMPLY] curious [PERIOD]
quaint [IMPLY] supportive [PERIOD]
supportive [AND] frail [AND] curious [IMPLY] blushing [PERIOD]
supportive [AND] curious [AND] frail [IMPLY] quaint [PERIOD]
blushing [AND] supportive [AND] curious [IMPLY] frail [PERIOD]
curious [AND] blushing [AND] frail [IMPLY] quaint [PERIOD]
quaint [AND] blushing [IMPLY] supportive [PERIOD]
curious [AND] frail [IMPLY] blushing [PERIOD]
supportive [AND] quaint [AND] curious [IMPLY] blushing [PERIOD]
blushing [AND] supportive [AND] frail [IMPLY] quaint [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “curious ⇒ frail” because missing: curious.
   Cannot apply rule “blushing ∧ curious ⇒ frail” because missing: blushing, curious.
   Cannot apply rule “curious ∧ blushing ∧ quaint ⇒ frail” because missing: curious, blushing, quaint.
   Cannot apply rule “blushing ⇒ frail” because missing: blushing.
   Cannot apply rule “blushing ∧ supportive ∧ curious ⇒ frail” because missing: blushing, supportive, curious.
",0,5
"Facts:  Alice is scared [PERIOD] Alice is uptight [PERIOD] Alice is light [PERIOD] Alice is shiny [PERIOD] Alice is exuberant [PERIOD] Alice is strange [PERIOD] Alice is victorious [PERIOD] Alice is zealous [PERIOD] Alice is worried [PERIOD] Alice is hypocritical [PERIOD]
Rules:
good [AND] frantic [IMPLY] shiny [PERIOD]
hypocritical [IMPLY] shiny [PERIOD]
muddy [AND] witty [IMPLY] bored [PERIOD]
frantic [AND] combative [AND] scared [IMPLY] amused [PERIOD]
zealous [AND] light [IMPLY] muddy [PERIOD]
frantic [AND] scared [IMPLY] messy [PERIOD]
messy [AND] worried [AND] bored [IMPLY] scared [PERIOD]
bored [AND] strange [IMPLY] hypocritical [PERIOD]
scared [AND] worried [AND] shiny [IMPLY] calm [PERIOD]
combative [IMPLY] tame [PERIOD]
muddy [AND] worried [AND] hypocritical [IMPLY] light [PERIOD]
witty [AND] good [IMPLY] wide-eyed [PERIOD]
tame [AND] hypocritical [IMPLY] frantic [PERIOD]
witty [AND] uptight [IMPLY] bored [PERIOD]
witty [IMPLY] worried [PERIOD]
hypocritical [IMPLY] messy [PERIOD]
wide-eyed [AND] strange [AND] exuberant [IMPLY] good [PERIOD]
frantic [AND] good [IMPLY] bored [PERIOD]
combative [AND] frantic [IMPLY] worried [PERIOD]
messy [AND] zealous [AND] shiny [IMPLY] combative [PERIOD]
exuberant [AND] messy [IMPLY] strange [PERIOD]
muddy [AND] light [IMPLY] zealous [PERIOD]
muddy [AND] bored [AND] victorious [IMPLY] wide-eyed [PERIOD]
uptight [IMPLY] messy [PERIOD]
uptight [AND] zealous [IMPLY] calm [PERIOD]
frantic [IMPLY] amused [PERIOD]
wide-eyed [AND] exuberant [AND] victorious [IMPLY] worried [PERIOD]
bored [AND] combative [AND] tame [IMPLY] victorious [PERIOD]
bored [AND] calm [AND] strange [IMPLY] frantic [PERIOD]
hypocritical [AND] muddy [AND] strange [IMPLY] messy [PERIOD]
frantic [AND] scared [IMPLY] amused [PERIOD]
muddy [AND] strange [AND] zealous [IMPLY] witty [PERIOD]
muddy [AND] scared [IMPLY] wide-eyed [PERIOD]
messy [AND] good [AND] bored [IMPLY] shiny [PERIOD]
witty [AND] tame [AND] frantic [IMPLY] strange [PERIOD]
good [IMPLY] messy [PERIOD]
amused [AND] muddy [AND] witty [IMPLY] strange [PERIOD]
shiny [IMPLY] exuberant [PERIOD]
wide-eyed [AND] strange [AND] messy [IMPLY] worried [PERIOD]
light [IMPLY] hypocritical [PERIOD]
exuberant [AND] amused [AND] calm [IMPLY] zealous [PERIOD]
witty [AND] combative [IMPLY] uptight [PERIOD]
strange [AND] uptight [IMPLY] hypocritical [PERIOD]
victorious [AND] witty [IMPLY] exuberant [PERIOD]
good [IMPLY] worried [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   zealous ∧ light ⇒ muddy
   muddy ∧ strange ∧ zealous ⇒ witty
",1,2
"Facts:  Alice is hypocritical [PERIOD] Alice is popular [PERIOD]
Rules:
condemned [AND] joyous [AND] muddy [IMPLY] frantic [PERIOD]
friendly [AND] condemned [AND] joyous [IMPLY] bossy [PERIOD]
vivacious [AND] naughty [AND] perfect [IMPLY] worried [PERIOD]
rational [IMPLY] friendly [PERIOD]
frail [AND] vivacious [AND] muddy [IMPLY] broad-minded [PERIOD]
friendly [IMPLY] hypocritical [PERIOD]
intellectual [IMPLY] bossy [PERIOD]
naughty [IMPLY] frail [PERIOD]
broad-minded [IMPLY] friendly [PERIOD]
frantic [AND] joyous [AND] bossy [IMPLY] rational [PERIOD]
bossy [AND] friendly [IMPLY] naughty [PERIOD]
joyous [AND] condemned [AND] perfect [IMPLY] naughty [PERIOD]
naughty [IMPLY] joyous [PERIOD]
hypocritical [AND] dishonest [AND] friendly [IMPLY] frail [PERIOD]
condemned [IMPLY] popular [PERIOD]
bossy [AND] joyous [AND] perfect [IMPLY] excited [PERIOD]
broad-minded [AND] perfect [AND] popular [IMPLY] rational [PERIOD]
friendly [IMPLY] excited [PERIOD]
muddy [AND] outrageous [IMPLY] frail [PERIOD]
bossy [AND] friendly [AND] rational [IMPLY] outrageous [PERIOD]
condemned [AND] friendly [AND] dishonest [IMPLY] excited [PERIOD]
broad-minded [IMPLY] naughty [PERIOD]
rational [IMPLY] dishonest [PERIOD]
naughty [IMPLY] bossy [PERIOD]
frail [IMPLY] rational [PERIOD]
perfect [IMPLY] frail [PERIOD]
frightened [IMPLY] vivacious [PERIOD]
intellectual [IMPLY] rational [PERIOD]
rational [AND] vivacious [IMPLY] frail [PERIOD]
worried [AND] popular [AND] naughty [IMPLY] friendly [PERIOD]
rational [IMPLY] frightened [PERIOD]
perfect [IMPLY] worried [PERIOD]
vivacious [AND] excited [AND] intellectual [IMPLY] frail [PERIOD]
frantic [AND] bossy [AND] worried [IMPLY] friendly [PERIOD]
frantic [AND] broad-minded [IMPLY] frightened [PERIOD]
dishonest [AND] condemned [AND] excited [IMPLY] perfect [PERIOD]
bossy [IMPLY] outrageous [PERIOD]
frantic [AND] broad-minded [IMPLY] bossy [PERIOD]
vivacious [AND] intellectual [AND] excited [IMPLY] friendly [PERIOD]
broad-minded [AND] intellectual [IMPLY] frightened [PERIOD]
outrageous [IMPLY] excited [PERIOD]
worried [AND] outrageous [AND] dishonest [IMPLY] vivacious [PERIOD]
condemned [IMPLY] frightened [PERIOD]
hypocritical [AND] rational [AND] perfect [IMPLY] muddy [PERIOD]
condemned [AND] friendly [AND] joyous [IMPLY] popular [PERIOD]
intellectual [AND] muddy [IMPLY] popular [PERIOD]
outrageous [AND] vivacious [AND] broad-minded [IMPLY] bossy [PERIOD]
perfect [AND] worried [AND] intellectual [IMPLY] popular [PERIOD]
perfect [AND] intellectual [AND] excited [IMPLY] broad-minded [PERIOD]
bossy [IMPLY] rational [PERIOD]
naughty [AND] frail [IMPLY] condemned [PERIOD]
frantic [IMPLY] frail [PERIOD]
broad-minded [AND] worried [AND] naughty [IMPLY] hypocritical [PERIOD]
frail [AND] condemned [IMPLY] muddy [PERIOD]
excited [IMPLY] worried [PERIOD]
outrageous [AND] vivacious [AND] dishonest [IMPLY] excited [PERIOD]
frantic [AND] broad-minded [IMPLY] popular [PERIOD]
intellectual [AND] condemned [AND] dishonest [IMPLY] frantic [PERIOD]
bossy [AND] dishonest [AND] condemned [IMPLY] joyous [PERIOD]
frantic [AND] frail [IMPLY] perfect [PERIOD]
joyous [AND] frail [IMPLY] perfect [PERIOD]
frightened [IMPLY] broad-minded [PERIOD]
naughty [AND] frightened [IMPLY] popular [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   Cannot apply rule “frantic ∧ joyous ∧ bossy ⇒ rational” because missing: frantic, joyous, bossy.
   Cannot apply rule “broad-minded ∧ perfect ∧ popular ⇒ rational” because missing: broad-minded, perfect.
   Cannot apply rule “frail ⇒ rational” because missing: frail.
   Cannot apply rule “intellectual ⇒ rational” because missing: intellectual.
   Cannot apply rule “bossy ⇒ rational” because missing: bossy.
",0,5
"Facts:  Alice is bad-tempered [PERIOD] Alice is wandering [PERIOD] Alice is inexpensive [PERIOD] Alice is gorgeous [PERIOD] Alice is shy [PERIOD] Alice is selfish [PERIOD] Alice is bossy [PERIOD] Alice is supportive [PERIOD] Alice is amused [PERIOD] Alice is precious [PERIOD]
Rules:
zealous [IMPLY] messy [PERIOD]
popular [IMPLY] bad-tempered [PERIOD]
shy [IMPLY] stormy [PERIOD]
amused [AND] bossy [IMPLY] horrible [PERIOD]
homely [IMPLY] popular [PERIOD]
zealous [AND] supportive [IMPLY] selfish [PERIOD]
popular [AND] shy [IMPLY] strange [PERIOD]
quaint [AND] wandering [IMPLY] bossy [PERIOD]
wandering [IMPLY] bad-tempered [PERIOD]
charming [AND] shy [AND] amused [IMPLY] supportive [PERIOD]
strange [AND] homely [AND] charming [IMPLY] horrible [PERIOD]
zealous [IMPLY] bossy [PERIOD]
troubled [AND] quaint [IMPLY] messy [PERIOD]
inexpensive [IMPLY] wandering [PERIOD]
supportive [IMPLY] careless [PERIOD]
horrible [IMPLY] selfish [PERIOD]
precious [AND] careless [IMPLY] quaint [PERIOD]
homely [IMPLY] gorgeous [PERIOD]
shy [IMPLY] popular [PERIOD]
bossy [IMPLY] amused [PERIOD]
strange [AND] horrible [IMPLY] popular [PERIOD]
zealous [AND] agreeable [AND] messy [IMPLY] stormy [PERIOD]
messy [IMPLY] horrible [PERIOD]
bad-tempered [IMPLY] charming [PERIOD]
supportive [AND] careless [IMPLY] zealous [PERIOD]
amused [AND] stormy [IMPLY] strange [PERIOD]
agreeable [IMPLY] bossy [PERIOD]
messy [AND] horrible [IMPLY] agreeable [PERIOD]
amused [AND] popular [AND] bad-tempered [IMPLY] messy [PERIOD]
popular [AND] charming [IMPLY] bad-tempered [PERIOD]
troubled [AND] supportive [AND] stormy [IMPLY] horrible [PERIOD]
messy [IMPLY] supportive [PERIOD]
charming [IMPLY] supportive [PERIOD]
bossy [AND] bad-tempered [IMPLY] agreeable [PERIOD]
messy [AND] inexpensive [IMPLY] shy [PERIOD]
gorgeous [AND] stormy [IMPLY] precious [PERIOD]
bossy [AND] bad-tempered [IMPLY] wandering [PERIOD]
troubled [IMPLY] charming [PERIOD]
careless [IMPLY] precious [PERIOD]
charming [AND] quaint [AND] bossy [IMPLY] supportive [PERIOD]
bad-tempered [IMPLY] selfish [PERIOD]
precious [AND] messy [IMPLY] gorgeous [PERIOD]
bad-tempered [IMPLY] zealous [PERIOD]
careless [AND] supportive [AND] gorgeous [IMPLY] amused [PERIOD]
homely [IMPLY] quaint [PERIOD]
popular [AND] selfish [AND] wandering [IMPLY] messy [PERIOD]
homely [AND] supportive [IMPLY] stormy [PERIOD]
strange [AND] gorgeous [AND] supportive [IMPLY] careless [PERIOD]
gorgeous [IMPLY] messy [PERIOD]
stormy [AND] shy [IMPLY] inexpensive [PERIOD]
horrible [IMPLY] shy [PERIOD]
gorgeous [AND] quaint [IMPLY] stormy [PERIOD]
quaint [IMPLY] homely [PERIOD]
agreeable [IMPLY] gorgeous [PERIOD]
strange [IMPLY] popular [PERIOD]
messy [AND] popular [AND] quaint [IMPLY] homely [PERIOD]
precious [IMPLY] shy [PERIOD]
amused [IMPLY] quaint [PERIOD]
popular [AND] bossy [AND] precious [IMPLY] shy [PERIOD]
bad-tempered [AND] popular [IMPLY] selfish [PERIOD]
horrible [IMPLY] charming [PERIOD]
messy [AND] stormy [AND] zealous [IMPLY] precious [PERIOD]
troubled [AND] gorgeous [AND] stormy [IMPLY] shy [PERIOD]
bad-tempered [AND] precious [IMPLY] strange [PERIOD]
messy [AND] bad-tempered [AND] quaint [IMPLY] troubled [PERIOD]
strange [IMPLY] shy [PERIOD]
agreeable [IMPLY] homely [PERIOD]
careless [IMPLY] quaint [PERIOD]
popular [AND] gorgeous [AND] quaint [IMPLY] homely [PERIOD]
homely [AND] horrible [IMPLY] quaint [PERIOD]
quaint [AND] inexpensive [AND] agreeable [IMPLY] amused [PERIOD]
wandering [AND] careless [AND] inexpensive [IMPLY] agreeable [PERIOD]
horrible [AND] shy [IMPLY] troubled [PERIOD]
agreeable [AND] charming [IMPLY] homely [PERIOD]
homely [AND] bad-tempered [AND] amused [IMPLY] stormy [PERIOD]
gorgeous [AND] horrible [AND] bossy [IMPLY] stormy [PERIOD]
messy [AND] strange [IMPLY] careless [PERIOD]
inexpensive [AND] zealous [AND] troubled [IMPLY] charming [PERIOD]
amused [AND] horrible [IMPLY] stormy [PERIOD]
wandering [IMPLY] homely [PERIOD]
bad-tempered [AND] inexpensive [AND] troubled [IMPLY] agreeable [PERIOD]
wandering [AND] strange [AND] stormy [IMPLY] horrible [PERIOD]
inexpensive [AND] horrible [AND] popular [IMPLY] charming [PERIOD]
gorgeous [AND] careless [IMPLY] troubled [PERIOD]
troubled [AND] amused [IMPLY] wandering [PERIOD]
inexpensive [IMPLY] shy [PERIOD]
supportive [AND] bad-tempered [AND] stormy [IMPLY] homely [PERIOD]
gorgeous [AND] strange [IMPLY] charming [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
   bad-tempered ⇒ charming
",1,1
"Facts:  Alice is scared [PERIOD] Alice is wrong [PERIOD] Alice is fragile [PERIOD] Alice is tense [PERIOD] Alice is witty [PERIOD] Alice is attentive [PERIOD] Alice is alert [PERIOD] Alice is condemned [PERIOD] Alice is sincere [PERIOD] Alice is fearless [PERIOD] Alice is worried [PERIOD] Alice is talkative [PERIOD] Alice is famous [PERIOD] Alice is busy [PERIOD] Alice is messy [PERIOD] Alice is gifted [PERIOD] Alice is enchanting [PERIOD] Alice is stupid [PERIOD] Alice is excited [PERIOD]
Rules:
excited [AND] stupid [AND] perfect [IMPLY] stubborn [PERIOD]
stubborn [AND] fearless [IMPLY] witty [PERIOD]
fearless [AND] talkative [AND] alert [IMPLY] excited [PERIOD]
stupid [IMPLY] enchanting [PERIOD]
sincere [IMPLY] enchanting [PERIOD]
alert [AND] stupid [AND] perfect [IMPLY] fragile [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is serious [PERIOD] Alice is long [PERIOD] Alice is confident [PERIOD] Alice is ugly [PERIOD]
Rules:
naughty [AND] exuberant [AND] versatile [IMPLY] serious [PERIOD]
anxious [IMPLY] versatile [PERIOD]
stormy [AND] naughty [AND] confident [IMPLY] good [PERIOD]
good [AND] confident [AND] exuberant [IMPLY] naughty [PERIOD]
wrong [AND] thoughtless [IMPLY] good [PERIOD]
naughty [AND] dull [AND] wrong [IMPLY] long [PERIOD]
confident [AND] unpleasant [IMPLY] helpless [PERIOD]
stormy [IMPLY] serious [PERIOD]
unpleasant [AND] scared [AND] nervous [IMPLY] good [PERIOD]
anxious [AND] light [AND] calm [IMPLY] good [PERIOD]
naughty [AND] long [IMPLY] nervous [PERIOD]
helpless [IMPLY] long [PERIOD]
nervous [IMPLY] exuberant [PERIOD]
dull [AND] light [IMPLY] naughty [PERIOD]
thoughtless [IMPLY] ugly [PERIOD]
light [IMPLY] stormy [PERIOD]
unpleasant [AND] versatile [AND] naughty [IMPLY] proud [PERIOD]
good [IMPLY] naughty [PERIOD]
ugly [AND] nervous [AND] calm [IMPLY] stormy [PERIOD]
calm [AND] naughty [AND] unpleasant [IMPLY] ugly [PERIOD]
stormy [IMPLY] good [PERIOD]
light [IMPLY] ugly [PERIOD]
scared [AND] long [AND] thoughtless [IMPLY] wrong [PERIOD]
dull [AND] naughty [IMPLY] exuberant [PERIOD]
anxious [AND] nervous [IMPLY] stormy [PERIOD]
dull [AND] anxious [IMPLY] helpless [PERIOD]
versatile [AND] naughty [AND] good [IMPLY] helpless [PERIOD]
scared [AND] ugly [AND] serious [IMPLY] confident [PERIOD]
long [AND] wrong [IMPLY] exuberant [PERIOD]
good [IMPLY] anxious [PERIOD]
proud [AND] nervous [IMPLY] calm [PERIOD]
wrong [AND] good [IMPLY] proud [PERIOD]
versatile [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] confident [PERIOD]
thoughtless [AND] dull [AND] exuberant [IMPLY] confident [PERIOD]
thoughtless [AND] wrong [AND] naughty [IMPLY] versatile [PERIOD]
exuberant [IMPLY] serious [PERIOD]
calm [AND] wrong [AND] proud [IMPLY] long [PERIOD]
naughty [IMPLY] nervous [PERIOD]
versatile [AND] exuberant [IMPLY] wrong [PERIOD]
unpleasant [AND] anxious [IMPLY] serious [PERIOD]
light [AND] proud [AND] good [IMPLY] long [PERIOD]
dull [AND] helpless [IMPLY] wrong [PERIOD]
scared [AND] confident [IMPLY] good [PERIOD]
ugly [IMPLY] scared [PERIOD]
versatile [AND] thoughtless [IMPLY] calm [PERIOD]
calm [IMPLY] anxious [PERIOD]
stormy [AND] ugly [IMPLY] thoughtless [PERIOD]
anxious [AND] serious [AND] calm [IMPLY] thoughtless [PERIOD]
ugly [AND] calm [IMPLY] thoughtless [PERIOD]
unpleasant [IMPLY] proud [PERIOD]
anxious [AND] good [AND] stormy [IMPLY] light [PERIOD]
serious [AND] nervous [AND] stormy [IMPLY] confident [PERIOD]
dull [AND] light [IMPLY] proud [PERIOD]
light [IMPLY] exuberant [PERIOD]
stormy [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] serious [PERIOD]
serious [IMPLY] calm [PERIOD]
scared [AND] confident [IMPLY] stormy [PERIOD]
thoughtless [AND] unpleasant [IMPLY] scared [PERIOD]
long [IMPLY] confident [PERIOD]
serious [AND] ugly [AND] proud [IMPLY] thoughtless [PERIOD]
stormy [AND] proud [AND] serious [IMPLY] long [PERIOD]
calm [AND] dull [AND] serious [IMPLY] naughty [PERIOD]
long [IMPLY] good [PERIOD]
versatile [AND] exuberant [AND] anxious [IMPLY] naughty [PERIOD]
ugly [AND] good [IMPLY] versatile [PERIOD]
anxious [AND] nervous [IMPLY] naughty [PERIOD]
unpleasant [AND] serious [IMPLY] helpless [PERIOD]
ugly [AND] stormy [IMPLY] confident [PERIOD]
versatile [AND] helpless [AND] confident [IMPLY] serious [PERIOD]
calm [AND] unpleasant [IMPLY] stormy [PERIOD]
thoughtless [AND] scared [IMPLY] anxious [PERIOD]
ugly [IMPLY] proud [PERIOD]
calm [IMPLY] ugly [PERIOD]
scared [IMPLY] proud [PERIOD]
scared [AND] unpleasant [IMPLY] calm [PERIOD]
stormy [IMPLY] confident [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
   serious ⇒ calm
   calm ⇒ anxious
   long ⇒ good
   ugly ⇒ scared
   scared ∧ confident ⇒ stormy
   anxious ∧ good ∧ stormy ⇒ light
   light ⇒ exuberant
",1,7
"Facts:  Alice is gleaming [PERIOD] Alice is proud [PERIOD] Alice is hypocritical [PERIOD] Alice is strange [PERIOD]
Rules:
strange [AND] vivacious [AND] unpleasant [IMPLY] talented [PERIOD]
vivacious [AND] rational [AND] strange [IMPLY] talented [PERIOD]
vivacious [AND] hypocritical [IMPLY] strange [PERIOD]
rational [AND] vivacious [IMPLY] strange [PERIOD]
proud [AND] strange [AND] vivacious [IMPLY] rational [PERIOD]
strange [AND] hypocritical [AND] unpleasant [IMPLY] gleaming [PERIOD]
talented [IMPLY] strange [PERIOD]
strange [AND] rational [IMPLY] talented [PERIOD]
rational [IMPLY] talented [PERIOD]
unpleasant [IMPLY] vivacious [PERIOD]
hypocritical [AND] proud [IMPLY] vivacious [PERIOD]
unpleasant [AND] talented [AND] strange [IMPLY] vivacious [PERIOD]
rational [AND] talented [AND] proud [IMPLY] hypocritical [PERIOD]
strange [AND] talented [IMPLY] hypocritical [PERIOD]
vivacious [AND] unpleasant [AND] strange [IMPLY] proud [PERIOD]
talented [AND] proud [AND] unpleasant [IMPLY] hypocritical [PERIOD]
rational [AND] proud [AND] gleaming [IMPLY] talented [PERIOD]
rational [AND] gleaming [AND] hypocritical [IMPLY] talented [PERIOD]
vivacious [IMPLY] hypocritical [PERIOD]
unpleasant [AND] hypocritical [IMPLY] gleaming [PERIOD]
gleaming [AND] talented [AND] rational [IMPLY] vivacious [PERIOD]
vivacious [AND] hypocritical [AND] gleaming [IMPLY] strange [PERIOD]
rational [AND] talented [IMPLY] unpleasant [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   hypocritical ∧ proud ⇒ vivacious
   proud ∧ strange ∧ vivacious ⇒ rational
   hypocritical ∧ proud ⇒ vivacious
   hypocritical ∧ proud ⇒ vivacious
   proud ∧ strange ∧ vivacious ⇒ rational
   vivacious ∧ rational ∧ strange ⇒ talented
   rational ∧ talented ⇒ unpleasant
",1,7
"Facts:  Alice is elated [PERIOD] Alice is victorious [PERIOD] Alice is impatient [PERIOD] Alice is amused [PERIOD] Alice is stubborn [PERIOD] Alice is confused [PERIOD] Alice is charming [PERIOD] Alice is hilarious [PERIOD] Alice is lucky [PERIOD] Alice is joyous [PERIOD] Alice is frantic [PERIOD] Alice is different [PERIOD] Alice is cooperative [PERIOD] Alice is stormy [PERIOD] Alice is thoughtless [PERIOD] Alice is ambitious [PERIOD] Alice is fancy [PERIOD] Alice is outstanding [PERIOD] Alice is nervous [PERIOD]
Rules:
charming [IMPLY] impatient [PERIOD]
outstanding [AND] hurt [AND] thoughtless [IMPLY] stormy [PERIOD]
elated [AND] amused [AND] hilarious [IMPLY] fancy [PERIOD]
hilarious [AND] victorious [AND] outstanding [IMPLY] fancy [PERIOD]
impatient [IMPLY] amused [PERIOD]
charming [AND] hurt [IMPLY] stubborn [PERIOD]
ambitious [IMPLY] amused [PERIOD]
different [IMPLY] impatient [PERIOD]
hilarious [AND] hurt [AND] victorious [IMPLY] confused [PERIOD]
victorious [AND] ambitious [AND] hilarious [IMPLY] thoughtless [PERIOD]
amused [AND] frantic [IMPLY] joyous [PERIOD]
thoughtless [AND] victorious [AND] nervous [IMPLY] ambitious [PERIOD]
thoughtless [AND] stubborn [AND] outstanding [IMPLY] confused [PERIOD]
victorious [IMPLY] different [PERIOD]
elated [IMPLY] stormy [PERIOD]
frantic [AND] amused [IMPLY] victorious [PERIOD]
victorious [IMPLY] hurt [PERIOD]
different [AND] stormy [IMPLY] cooperative [PERIOD]
nervous [IMPLY] hilarious [PERIOD]
ambitious [AND] different [AND] victorious [IMPLY] amused [PERIOD]
cooperative [AND] thoughtless [IMPLY] stormy [PERIOD]
outstanding [AND] joyous [IMPLY] ambitious [PERIOD]
confused [AND] impatient [IMPLY] charming [PERIOD]
outstanding [AND] hurt [IMPLY] victorious [PERIOD]
stubborn [AND] ambitious [AND] lucky [IMPLY] nervous [PERIOD]
amused [AND] thoughtless [AND] stormy [IMPLY] hilarious [PERIOD]
cooperative [AND] hilarious [AND] outstanding [IMPLY] charming [PERIOD]
joyous [AND] hurt [IMPLY] confused [PERIOD]
hurt [AND] impatient [AND] fancy [IMPLY] victorious [PERIOD]
amused [AND] outstanding [AND] confused [IMPLY] victorious [PERIOD]
stormy [AND] confused [IMPLY] impatient [PERIOD]
ambitious [AND] cooperative [AND] stormy [IMPLY] impatient [PERIOD]
joyous [AND] charming [IMPLY] stormy [PERIOD]
amused [IMPLY] impatient [PERIOD]
joyous [IMPLY] victorious [PERIOD]
cooperative [AND] outstanding [IMPLY] victorious [PERIOD]
charming [AND] frantic [IMPLY] ambitious [PERIOD]
different [AND] outstanding [IMPLY] amused [PERIOD]
fancy [IMPLY] victorious [PERIOD]
joyous [AND] victorious [AND] nervous [IMPLY] confused [PERIOD]
cooperative [IMPLY] ambitious [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is troubled [PERIOD] Alice is amused [PERIOD] Alice is embarrassed [PERIOD]
Rules:
frightened [IMPLY] amused [PERIOD]
embarrassed [AND] frightened [AND] polite [IMPLY] amused [PERIOD]
polite [IMPLY] frightened [PERIOD]
polite [AND] frightened [AND] embarrassed [IMPLY] troubled [PERIOD]
polite [IMPLY] amused [PERIOD]
amused [AND] frightened [AND] polite [IMPLY] embarrassed [PERIOD]
frightened [AND] polite [IMPLY] troubled [PERIOD]
embarrassed [AND] polite [IMPLY] frightened [PERIOD]
troubled [IMPLY] frightened [PERIOD]
embarrassed [AND] frightened [IMPLY] polite [PERIOD]
troubled [AND] frightened [IMPLY] polite [PERIOD]
troubled [AND] embarrassed [AND] polite [IMPLY] amused [PERIOD]
amused [AND] troubled [IMPLY] embarrassed [PERIOD]
troubled [IMPLY] amused [PERIOD]
troubled [AND] polite [IMPLY] embarrassed [PERIOD]
embarrassed [AND] amused [IMPLY] frightened [PERIOD]
frightened [IMPLY] polite [PERIOD]
frightened [AND] polite [AND] troubled [IMPLY] amused [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
   embarrassed ∧ amused ⇒ frightened
",1,1
"Facts:  Alice is proud [PERIOD] Alice is old-fashioned [PERIOD] Alice is jittery [PERIOD] Alice is modern [PERIOD]
Rules:
jittery [AND] courageous [IMPLY] frantic [PERIOD]
calm [IMPLY] jittery [PERIOD]
talkative [AND] proud [IMPLY] weary [PERIOD]
famous [AND] frantic [AND] grumpy [IMPLY] calm [PERIOD]
weary [IMPLY] talkative [PERIOD]
weary [AND] calm [IMPLY] talkative [PERIOD]
frantic [AND] grumpy [IMPLY] proud [PERIOD]
calm [AND] famous [AND] talkative [IMPLY] old-fashioned [PERIOD]
grumpy [AND] proud [AND] plain [IMPLY] inexpensive [PERIOD]
jittery [AND] grumpy [IMPLY] old-fashioned [PERIOD]
grumpy [IMPLY] jittery [PERIOD]
courageous [IMPLY] jittery [PERIOD]
famous [AND] old-fashioned [AND] grumpy [IMPLY] inexpensive [PERIOD]
weary [IMPLY] old-fashioned [PERIOD]
inexpensive [AND] proud [IMPLY] weary [PERIOD]
talkative [AND] modern [AND] old-fashioned [IMPLY] grumpy [PERIOD]
plain [AND] famous [IMPLY] old-fashioned [PERIOD]
jittery [AND] calm [AND] proud [IMPLY] talkative [PERIOD]
old-fashioned [IMPLY] modern [PERIOD]
frantic [IMPLY] talkative [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “jittery ∧ courageous ⇒ frantic” because missing: courageous.
",0,1
"Facts:  Alice is vivacious [PERIOD]
Rules:
dishonest [AND] uptight [IMPLY] average [PERIOD]
aggressive [AND] helpless [AND] nervous [IMPLY] lucky [PERIOD]
vivacious [AND] dishonest [AND] talented [IMPLY] uptight [PERIOD]
uptight [IMPLY] talented [PERIOD]
charming [AND] lucky [AND] talented [IMPLY] uptight [PERIOD]
aggressive [IMPLY] average [PERIOD]
nervous [AND] versatile [IMPLY] aggressive [PERIOD]
versatile [AND] aggressive [IMPLY] average [PERIOD]
charming [AND] helpless [AND] aggressive [IMPLY] versatile [PERIOD]
nervous [AND] precious [IMPLY] average [PERIOD]
versatile [AND] helpless [IMPLY] dishonest [PERIOD]
uptight [AND] lucky [IMPLY] nervous [PERIOD]
aggressive [AND] nervous [IMPLY] average [PERIOD]
talented [AND] uptight [AND] precious [IMPLY] nervous [PERIOD]
talented [AND] charming [IMPLY] uptight [PERIOD]
average [AND] precious [AND] dishonest [IMPLY] talented [PERIOD]
uptight [IMPLY] dishonest [PERIOD]
charming [AND] average [IMPLY] versatile [PERIOD]
dishonest [AND] uptight [AND] nervous [IMPLY] versatile [PERIOD]
average [AND] versatile [AND] lucky [IMPLY] aggressive [PERIOD]
charming [AND] precious [AND] talented [IMPLY] vivacious [PERIOD]
nervous [AND] charming [AND] helpless [IMPLY] dishonest [PERIOD]
helpless [AND] lucky [AND] nervous [IMPLY] versatile [PERIOD]
aggressive [AND] uptight [AND] vivacious [IMPLY] average [PERIOD]
talented [AND] lucky [AND] charming [IMPLY] versatile [PERIOD]
charming [IMPLY] average [PERIOD]
charming [IMPLY] uptight [PERIOD]
versatile [IMPLY] aggressive [PERIOD]
charming [AND] precious [AND] versatile [IMPLY] aggressive [PERIOD]
versatile [AND] vivacious [IMPLY] uptight [PERIOD]
uptight [AND] lucky [AND] helpless [IMPLY] talented [PERIOD]
talented [AND] precious [IMPLY] dishonest [PERIOD]
dishonest [IMPLY] precious [PERIOD]
charming [AND] average [AND] precious [IMPLY] talented [PERIOD]
helpless [IMPLY] aggressive [PERIOD]
helpless [IMPLY] talented [PERIOD]
talented [IMPLY] helpless [PERIOD]
talented [AND] nervous [IMPLY] versatile [PERIOD]
precious [AND] helpless [AND] dishonest [IMPLY] charming [PERIOD]
charming [AND] precious [AND] nervous [IMPLY] dishonest [PERIOD]
precious [AND] lucky [IMPLY] uptight [PERIOD]
lucky [AND] talented [IMPLY] precious [PERIOD]
aggressive [AND] nervous [IMPLY] charming [PERIOD]
charming [IMPLY] dishonest [PERIOD]
talented [IMPLY] vivacious [PERIOD]
helpless [IMPLY] lucky [PERIOD]
charming [IMPLY] versatile [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   Cannot apply rule “dishonest ∧ uptight ⇒ average” because missing: dishonest, uptight.
   Cannot apply rule “aggressive ⇒ average” because missing: aggressive.
   Cannot apply rule “versatile ∧ aggressive ⇒ average” because missing: versatile, aggressive.
   Cannot apply rule “nervous ∧ precious ⇒ average” because missing: nervous, precious.
   Cannot apply rule “aggressive ∧ nervous ⇒ average” because missing: aggressive, nervous.
   Cannot apply rule “aggressive ∧ uptight ∧ vivacious ⇒ average” because missing: aggressive, uptight.
   Cannot apply rule “charming ⇒ average” because missing: charming.
",0,7
"Facts: 
Rules:
smart [IMPLY] strange [PERIOD]
broad-minded [IMPLY] precious [PERIOD]
strange [AND] precious [IMPLY] witty [PERIOD]
strange [AND] witty [AND] precious [IMPLY] horrible [PERIOD]
witty [AND] smart [IMPLY] precious [PERIOD]
precious [AND] strange [AND] horrible [IMPLY] broad-minded [PERIOD]
horrible [AND] precious [IMPLY] smart [PERIOD]
precious [IMPLY] broad-minded [PERIOD]
smart [AND] horrible [IMPLY] strange [PERIOD]
strange [AND] broad-minded [AND] horrible [IMPLY] precious [PERIOD]
horrible [AND] smart [AND] witty [IMPLY] broad-minded [PERIOD]
witty [AND] broad-minded [IMPLY] smart [PERIOD]
strange [AND] witty [IMPLY] precious [PERIOD]
broad-minded [AND] precious [IMPLY] strange [PERIOD]
horrible [AND] precious [IMPLY] strange [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   Cannot apply rule “smart ⇒ strange” because missing: smart.
   Cannot apply rule “smart ∧ horrible ⇒ strange” because missing: smart, horrible.
   Cannot apply rule “broad-minded ∧ precious ⇒ strange” because missing: broad-minded, precious.
   Cannot apply rule “horrible ∧ precious ⇒ strange” because missing: horrible, precious.
",0,4
"Facts:  Alice is frightened [PERIOD]
Rules:
light [IMPLY] versatile [PERIOD]
good [AND] horrible [IMPLY] mysterious [PERIOD]
tired [AND] light [AND] condemned [IMPLY] muddy [PERIOD]
good [IMPLY] fragile [PERIOD]
good [AND] frightened [IMPLY] talented [PERIOD]
mysterious [IMPLY] fine [PERIOD]
light [AND] fine [AND] weary [IMPLY] muddy [PERIOD]
different [AND] outstanding [AND] tired [IMPLY] witty [PERIOD]
worrisome [AND] fine [IMPLY] condemned [PERIOD]
mysterious [AND] talented [IMPLY] good [PERIOD]
condemned [IMPLY] disgusted [PERIOD]
modern [IMPLY] worrisome [PERIOD]
tired [AND] muddy [IMPLY] disgusted [PERIOD]
modern [AND] light [AND] witty [IMPLY] disgusted [PERIOD]
fine [AND] outstanding [AND] courageous [IMPLY] weary [PERIOD]
courageous [IMPLY] muddy [PERIOD]
witty [IMPLY] disgusted [PERIOD]
frightened [AND] tired [IMPLY] outstanding [PERIOD]
weary [IMPLY] modern [PERIOD]
witty [AND] outstanding [IMPLY] fine [PERIOD]
confident [AND] witty [IMPLY] good [PERIOD]
disgusted [IMPLY] versatile [PERIOD]
light [AND] tired [AND] frightened [IMPLY] mysterious [PERIOD]
talented [AND] versatile [AND] courageous [IMPLY] horrible [PERIOD]
frightened [IMPLY] good [PERIOD]
outstanding [AND] fragile [IMPLY] muddy [PERIOD]
fine [AND] modern [AND] embarrassed [IMPLY] confident [PERIOD]
versatile [IMPLY] worrisome [PERIOD]
horrible [AND] versatile [IMPLY] embarrassed [PERIOD]
mysterious [AND] frightened [AND] witty [IMPLY] talented [PERIOD]
outstanding [AND] versatile [AND] witty [IMPLY] condemned [PERIOD]
courageous [AND] horrible [IMPLY] modern [PERIOD]
embarrassed [AND] tired [AND] frightened [IMPLY] versatile [PERIOD]
worrisome [AND] disgusted [IMPLY] fine [PERIOD]
courageous [AND] weary [IMPLY] modern [PERIOD]
confident [IMPLY] disgusted [PERIOD]
talented [AND] light [IMPLY] horrible [PERIOD]
fragile [IMPLY] outstanding [PERIOD]
witty [AND] disgusted [AND] worrisome [IMPLY] talented [PERIOD]
courageous [IMPLY] disgusted [PERIOD]
condemned [AND] light [IMPLY] good [PERIOD]
modern [AND] talented [AND] confident [IMPLY] tired [PERIOD]
courageous [AND] good [IMPLY] embarrassed [PERIOD]
confident [IMPLY] condemned [PERIOD]
talented [IMPLY] confident [PERIOD]
talented [AND] weary [AND] fine [IMPLY] versatile [PERIOD]
embarrassed [IMPLY] horrible [PERIOD]
embarrassed [AND] fine [IMPLY] outstanding [PERIOD]
outstanding [AND] muddy [AND] condemned [IMPLY] light [PERIOD]
fine [AND] witty [IMPLY] worrisome [PERIOD]
modern [AND] versatile [IMPLY] witty [PERIOD]
courageous [AND] horrible [AND] tired [IMPLY] fragile [PERIOD]
outstanding [IMPLY] muddy [PERIOD]
different [IMPLY] worrisome [PERIOD]
frightened [AND] fragile [IMPLY] disgusted [PERIOD]
confident [IMPLY] light [PERIOD]
light [IMPLY] courageous [PERIOD]
embarrassed [AND] modern [IMPLY] fragile [PERIOD]
versatile [AND] fine [IMPLY] different [PERIOD]
disgusted [AND] muddy [AND] tired [IMPLY] fragile [PERIOD]
tired [AND] fragile [AND] worrisome [IMPLY] witty [PERIOD]
witty [AND] good [IMPLY] confident [PERIOD]
frightened [AND] worrisome [AND] weary [IMPLY] muddy [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   frightened ⇒ good
   good ⇒ fragile
   frightened ∧ fragile ⇒ disgusted
   disgusted ⇒ versatile
   versatile ⇒ worrisome
",1,5
"Facts:  Alice is shy [PERIOD] Alice is inquisitive [PERIOD] Alice is grumpy [PERIOD] Alice is troubled [PERIOD] Alice is embarrassed [PERIOD] Alice is beautiful [PERIOD] Alice is confused [PERIOD] Alice is famous [PERIOD] Alice is long [PERIOD] Alice is mean [PERIOD] Alice is modern [PERIOD] Alice is combative [PERIOD]
Rules:
long [AND] polite [AND] mean [IMPLY] outrageous [PERIOD]
impatient [AND] beautiful [AND] embarrassed [IMPLY] troubled [PERIOD]
outrageous [IMPLY] inexpensive [PERIOD]
troubled [IMPLY] outrageous [PERIOD]
polite [IMPLY] shy [PERIOD]
polite [AND] clean [AND] modern [IMPLY] beautiful [PERIOD]
famous [AND] long [IMPLY] quaint [PERIOD]
shy [AND] elated [IMPLY] charming [PERIOD]
quaint [AND] elated [IMPLY] charming [PERIOD]
calm [AND] combative [AND] clean [IMPLY] inexpensive [PERIOD]
clean [IMPLY] inexpensive [PERIOD]
modern [IMPLY] elated [PERIOD]
inquisitive [IMPLY] modern [PERIOD]
crowded [AND] confused [IMPLY] bored [PERIOD]
grumpy [IMPLY] modern [PERIOD]
charming [AND] long [AND] outrageous [IMPLY] embarrassed [PERIOD]
beautiful [IMPLY] embarrassed [PERIOD]
beautiful [AND] crowded [IMPLY] shy [PERIOD]
charming [AND] victorious [AND] long [IMPLY] quaint [PERIOD]
bored [AND] troubled [AND] grumpy [IMPLY] shy [PERIOD]
bored [IMPLY] modern [PERIOD]
inquisitive [IMPLY] mean [PERIOD]
modern [IMPLY] beautiful [PERIOD]
grumpy [AND] embarrassed [AND] modern [IMPLY] clean [PERIOD]
combative [IMPLY] modern [PERIOD]
mean [AND] outrageous [IMPLY] inexpensive [PERIOD]
quaint [AND] beautiful [AND] inquisitive [IMPLY] troubled [PERIOD]
polite [AND] quaint [AND] clean [IMPLY] inquisitive [PERIOD]
clean [IMPLY] mean [PERIOD]
elated [AND] charming [IMPLY] polite [PERIOD]
modern [IMPLY] troubled [PERIOD]
outrageous [AND] famous [IMPLY] grumpy [PERIOD]
crowded [IMPLY] elated [PERIOD]
long [AND] embarrassed [AND] bored [IMPLY] famous [PERIOD]
embarrassed [AND] beautiful [IMPLY] shy [PERIOD]
impatient [AND] polite [AND] clean [IMPLY] beautiful [PERIOD]
quaint [AND] charming [IMPLY] clean [PERIOD]
elated [AND] modern [IMPLY] impatient [PERIOD]
famous [AND] embarrassed [AND] polite [IMPLY] victorious [PERIOD]
victorious [IMPLY] polite [PERIOD]
charming [IMPLY] shy [PERIOD]
elated [IMPLY] polite [PERIOD]
grumpy [AND] outrageous [IMPLY] famous [PERIOD]
combative [AND] modern [AND] inquisitive [IMPLY] famous [PERIOD]
impatient [AND] inquisitive [IMPLY] beautiful [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   modern ⇒ elated
   elated ∧ modern ⇒ impatient
",1,2
"Facts:  Alice is nervous [PERIOD] Alice is enchanting [PERIOD] Alice is loving [PERIOD] Alice is long [PERIOD] Alice is tender [PERIOD]
Rules:
fragile [AND] enchanting [AND] intellectual [IMPLY] diplomatic [PERIOD]
light [AND] thoughtful [AND] average [IMPLY] diplomatic [PERIOD]
cruel [AND] nervous [IMPLY] witty [PERIOD]
average [IMPLY] enchanting [PERIOD]
tender [AND] loving [AND] fragile [IMPLY] long [PERIOD]
enchanting [AND] average [AND] tender [IMPLY] intellectual [PERIOD]
pessimistic [IMPLY] enchanting [PERIOD]
enchanting [AND] long [IMPLY] cruel [PERIOD]
fragile [IMPLY] nervous [PERIOD]
cruel [AND] nervous [AND] fragile [IMPLY] tender [PERIOD]
witty [AND] diplomatic [IMPLY] confused [PERIOD]
nervous [IMPLY] tender [PERIOD]
loving [IMPLY] witty [PERIOD]
long [AND] thoughtful [AND] nervous [IMPLY] enchanting [PERIOD]
tender [AND] confused [AND] calm [IMPLY] diplomatic [PERIOD]
nervous [IMPLY] confused [PERIOD]
loving [IMPLY] tender [PERIOD]
diplomatic [AND] tender [AND] cruel [IMPLY] witty [PERIOD]
tender [AND] confused [IMPLY] light [PERIOD]
thoughtful [AND] beautiful [AND] diplomatic [IMPLY] pessimistic [PERIOD]
enchanting [AND] thoughtful [IMPLY] intellectual [PERIOD]
light [AND] cruel [AND] intellectual [IMPLY] tender [PERIOD]
cruel [AND] enchanting [IMPLY] diplomatic [PERIOD]
pessimistic [IMPLY] diplomatic [PERIOD]
light [AND] long [AND] enchanting [IMPLY] nervous [PERIOD]
beautiful [AND] thoughtful [IMPLY] light [PERIOD]
diplomatic [AND] enchanting [IMPLY] witty [PERIOD]
nervous [AND] enchanting [IMPLY] tender [PERIOD]
fragile [AND] intellectual [AND] nervous [IMPLY] beautiful [PERIOD]
confused [AND] enchanting [AND] light [IMPLY] witty [PERIOD]
loving [IMPLY] beautiful [PERIOD]
tender [AND] thoughtful [AND] intellectual [IMPLY] fragile [PERIOD]
light [AND] loving [IMPLY] nervous [PERIOD]
fragile [IMPLY] witty [PERIOD]
thoughtful [IMPLY] cruel [PERIOD]
witty [IMPLY] confused [PERIOD]
nervous [AND] light [AND] tender [IMPLY] pessimistic [PERIOD]
light [AND] fragile [IMPLY] tender [PERIOD]
thoughtful [AND] long [AND] beautiful [IMPLY] intellectual [PERIOD]
confused [AND] loving [IMPLY] nervous [PERIOD]
nervous [IMPLY] intellectual [PERIOD]
enchanting [IMPLY] long [PERIOD]
nervous [IMPLY] loving [PERIOD]
pessimistic [AND] thoughtful [AND] intellectual [IMPLY] light [PERIOD]
pessimistic [AND] light [IMPLY] average [PERIOD]
beautiful [AND] pessimistic [AND] enchanting [IMPLY] tender [PERIOD]
confused [AND] calm [IMPLY] witty [PERIOD]
confused [AND] thoughtful [IMPLY] intellectual [PERIOD]
intellectual [AND] cruel [AND] witty [IMPLY] nervous [PERIOD]
witty [AND] cruel [AND] beautiful [IMPLY] pessimistic [PERIOD]
fragile [IMPLY] confused [PERIOD]
witty [IMPLY] tender [PERIOD]
light [AND] cruel [IMPLY] confused [PERIOD]
beautiful [AND] long [IMPLY] enchanting [PERIOD]
beautiful [AND] pessimistic [IMPLY] tender [PERIOD]
long [AND] pessimistic [IMPLY] thoughtful [PERIOD]
intellectual [AND] tender [IMPLY] calm [PERIOD]
light [AND] nervous [AND] tender [IMPLY] intellectual [PERIOD]
calm [IMPLY] diplomatic [PERIOD]
nervous [IMPLY] long [PERIOD]
pessimistic [AND] long [IMPLY] cruel [PERIOD]
enchanting [IMPLY] fragile [PERIOD]
enchanting [AND] calm [IMPLY] loving [PERIOD]
cruel [IMPLY] fragile [PERIOD]
thoughtful [AND] cruel [IMPLY] average [PERIOD]
beautiful [IMPLY] thoughtful [PERIOD]
confused [IMPLY] diplomatic [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   loving ⇒ witty
   enchanting ∧ long ⇒ cruel
   loving ⇒ beautiful
   witty ∧ cruel ∧ beautiful ⇒ pessimistic
   nervous ⇒ confused
   tender ∧ confused ⇒ light
   pessimistic ∧ light ⇒ average
",1,7
"Facts:  Alice is impatient [PERIOD] Alice is shiny [PERIOD] Alice is fancy [PERIOD] Alice is excited [PERIOD] Alice is diplomatic [PERIOD]
Rules:
impatient [AND] lucky [IMPLY] confident [PERIOD]
amused [AND] jittery [IMPLY] horrible [PERIOD]
excited [AND] quaint [AND] fancy [IMPLY] shiny [PERIOD]
shiny [IMPLY] light [PERIOD]
friendly [IMPLY] amused [PERIOD]
amused [AND] pleasant [AND] excited [IMPLY] confident [PERIOD]
diplomatic [AND] supportive [IMPLY] jittery [PERIOD]
supportive [AND] frightened [AND] horrible [IMPLY] excited [PERIOD]
excited [IMPLY] worrisome [PERIOD]
amused [AND] frightened [IMPLY] worrisome [PERIOD]
joyous [AND] jittery [IMPLY] horrible [PERIOD]
impatient [AND] supportive [IMPLY] frightened [PERIOD]
lucky [AND] horrible [IMPLY] hurt [PERIOD]
horrible [AND] lucky [AND] friendly [IMPLY] frightened [PERIOD]
light [AND] confident [AND] joyous [IMPLY] worrisome [PERIOD]
impatient [IMPLY] frightened [PERIOD]
amused [IMPLY] quaint [PERIOD]
frightened [AND] jittery [AND] friendly [IMPLY] shiny [PERIOD]
hurt [AND] horrible [IMPLY] frightened [PERIOD]
lucky [IMPLY] frightened [PERIOD]
amused [AND] pleasant [AND] lucky [IMPLY] jittery [PERIOD]
fancy [AND] friendly [AND] hurt [IMPLY] jittery [PERIOD]
lucky [AND] amused [AND] fancy [IMPLY] jittery [PERIOD]
pleasant [IMPLY] lucky [PERIOD]
supportive [IMPLY] fancy [PERIOD]
fancy [AND] jittery [IMPLY] worrisome [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   Cannot apply rule “amused ∧ jittery ⇒ horrible” because missing: amused, jittery.
   Cannot apply rule “joyous ∧ jittery ⇒ horrible” because missing: joyous, jittery.
",0,2
"Facts:  Alice is tidy [PERIOD] Alice is stupid [PERIOD]
Rules:
serious [AND] disobedient [AND] reserved [IMPLY] disgusted [PERIOD]
reserved [IMPLY] disgusted [PERIOD]
serious [AND] hilarious [IMPLY] stormy [PERIOD]
disobedient [AND] stupid [AND] reserved [IMPLY] bossy [PERIOD]
hilarious [IMPLY] reserved [PERIOD]
disgusted [IMPLY] silly [PERIOD]
reserved [AND] stormy [AND] silly [IMPLY] stupid [PERIOD]
anxious [IMPLY] serious [PERIOD]
stupid [IMPLY] tidy [PERIOD]
disobedient [IMPLY] serious [PERIOD]
tidy [AND] disgusted [IMPLY] stupid [PERIOD]
disgusted [AND] anxious [AND] serious [IMPLY] tidy [PERIOD]
anxious [IMPLY] bossy [PERIOD]
stormy [AND] serious [IMPLY] reserved [PERIOD]
serious [IMPLY] anxious [PERIOD]
disobedient [AND] reserved [IMPLY] tidy [PERIOD]
bossy [AND] tidy [AND] disobedient [IMPLY] stormy [PERIOD]
bossy [AND] stormy [IMPLY] anxious [PERIOD]
stormy [AND] disobedient [AND] silly [IMPLY] stupid [PERIOD]
stormy [AND] stupid [IMPLY] reserved [PERIOD]
serious [AND] silly [AND] bossy [IMPLY] tidy [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   Cannot apply rule “disobedient ∧ stupid ∧ reserved ⇒ bossy” because missing: disobedient, reserved.
   Cannot apply rule “anxious ⇒ bossy” because missing: anxious.
",0,2
"Facts:  Alice is attractive [PERIOD]
Rules:
wandering [IMPLY] talkative [PERIOD]
confident [IMPLY] talented [PERIOD]
sincere [AND] talented [IMPLY] impatient [PERIOD]
average [IMPLY] light [PERIOD]
vivacious [AND] distinct [IMPLY] talented [PERIOD]
diplomatic [AND] scared [AND] attentive [IMPLY] wrong [PERIOD]
wrong [AND] reserved [AND] diplomatic [IMPLY] adorable [PERIOD]
adorable [AND] proud [IMPLY] innocent [PERIOD]
attentive [AND] proud [AND] clean [IMPLY] tender [PERIOD]
long [AND] light [IMPLY] proud [PERIOD]
clean [IMPLY] long [PERIOD]
tender [AND] pleasant [AND] talented [IMPLY] shy [PERIOD]
busy [AND] wrong [IMPLY] scared [PERIOD]
talkative [AND] sincere [AND] wrong [IMPLY] wandering [PERIOD]
talkative [AND] average [IMPLY] busy [PERIOD]
talkative [AND] innocent [IMPLY] embarrassed [PERIOD]
wandering [AND] long [IMPLY] attractive [PERIOD]
embarrassed [AND] proud [IMPLY] busy [PERIOD]
attractive [AND] innocent [IMPLY] pleasant [PERIOD]
dull [AND] pleasant [IMPLY] wandering [PERIOD]
dull [AND] wandering [IMPLY] talented [PERIOD]
straightforward [AND] talkative [AND] embarrassed [IMPLY] crowded [PERIOD]
wandering [IMPLY] pleasant [PERIOD]
talented [AND] adorable [AND] diplomatic [IMPLY] confident [PERIOD]
smart [AND] pleasant [IMPLY] impatient [PERIOD]
embarrassed [AND] clean [IMPLY] light [PERIOD]
wandering [IMPLY] scared [PERIOD]
talkative [IMPLY] wrong [PERIOD]
clean [IMPLY] adorable [PERIOD]
tender [AND] sincere [AND] vivacious [IMPLY] straightforward [PERIOD]
busy [IMPLY] diplomatic [PERIOD]
busy [IMPLY] vivacious [PERIOD]
vivacious [AND] smart [AND] confident [IMPLY] proud [PERIOD]
attractive [AND] average [AND] light [IMPLY] proud [PERIOD]
sincere [IMPLY] dull [PERIOD]
confident [AND] reserved [AND] vivacious [IMPLY] wrong [PERIOD]
attractive [IMPLY] smart [PERIOD]
distinct [AND] light [AND] dull [IMPLY] talkative [PERIOD]
tender [IMPLY] light [PERIOD]
average [AND] crowded [IMPLY] distinct [PERIOD]
dull [AND] embarrassed [IMPLY] tender [PERIOD]
distinct [AND] wandering [AND] reserved [IMPLY] confident [PERIOD]
straightforward [AND] tender [IMPLY] innocent [PERIOD]
wandering [AND] confident [IMPLY] scared [PERIOD]
busy [IMPLY] distinct [PERIOD]
talented [AND] innocent [AND] impatient [IMPLY] distinct [PERIOD]
busy [IMPLY] attractive [PERIOD]
talkative [AND] innocent [IMPLY] scared [PERIOD]
wrong [AND] clean [IMPLY] impatient [PERIOD]
busy [IMPLY] long [PERIOD]
busy [AND] proud [IMPLY] straightforward [PERIOD]
impatient [IMPLY] clean [PERIOD]
diplomatic [IMPLY] attractive [PERIOD]
talkative [IMPLY] adorable [PERIOD]
smart [IMPLY] tender [PERIOD]
proud [IMPLY] vivacious [PERIOD]
sincere [IMPLY] wandering [PERIOD]
clean [AND] straightforward [AND] sincere [IMPLY] attentive [PERIOD]
smart [AND] talkative [AND] attractive [IMPLY] talented [PERIOD]
wrong [IMPLY] adorable [PERIOD]
confident [AND] shy [AND] dull [IMPLY] scared [PERIOD]
talented [IMPLY] reserved [PERIOD]
clean [AND] light [AND] sincere [IMPLY] average [PERIOD]
reserved [AND] clean [AND] impatient [IMPLY] crowded [PERIOD]
long [AND] confident [AND] talented [IMPLY] reserved [PERIOD]
vivacious [IMPLY] tender [PERIOD]
impatient [AND] embarrassed [AND] busy [IMPLY] confident [PERIOD]
attractive [IMPLY] talented [PERIOD]
confident [AND] sincere [IMPLY] crowded [PERIOD]
reserved [AND] embarrassed [IMPLY] average [PERIOD]
confident [AND] impatient [AND] scared [IMPLY] vivacious [PERIOD]
proud [AND] wandering [AND] straightforward [IMPLY] sincere [PERIOD]
distinct [AND] busy [IMPLY] talkative [PERIOD]
pleasant [IMPLY] diplomatic [PERIOD]
impatient [AND] attractive [AND] smart [IMPLY] long [PERIOD]
busy [AND] reserved [IMPLY] dull [PERIOD]
busy [IMPLY] talkative [PERIOD]
straightforward [AND] average [IMPLY] clean [PERIOD]
shy [AND] tender [AND] attentive [IMPLY] talkative [PERIOD]
shy [IMPLY] straightforward [PERIOD]
attractive [AND] wrong [IMPLY] embarrassed [PERIOD]
long [AND] pleasant [AND] crowded [IMPLY] clean [PERIOD]
light [AND] wrong [AND] proud [IMPLY] tender [PERIOD]
talkative [AND] shy [AND] diplomatic [IMPLY] sincere [PERIOD]
attractive [AND] talkative [IMPLY] wandering [PERIOD]
reserved [IMPLY] attractive [PERIOD]
sincere [AND] shy [IMPLY] talkative [PERIOD]
straightforward [AND] wrong [AND] tender [IMPLY] dull [PERIOD]
adorable [AND] diplomatic [IMPLY] attractive [PERIOD]
embarrassed [AND] sincere [IMPLY] distinct [PERIOD]
confident [AND] talented [AND] impatient [IMPLY] long [PERIOD]
vivacious [AND] adorable [AND] clean [IMPLY] talented [PERIOD]
vivacious [AND] average [IMPLY] pleasant [PERIOD]
dull [AND] innocent [IMPLY] busy [PERIOD]
wandering [IMPLY] average [PERIOD]
confident [IMPLY] talkative [PERIOD]
long [AND] confident [IMPLY] sincere [PERIOD]
innocent [AND] crowded [AND] embarrassed [IMPLY] vivacious [PERIOD]
Query: Alice is smart [PERIOD]","Proof chain:
   attractive ⇒ smart
",1,1
"Facts:  Alice is cooperative [PERIOD] Alice is intellectual [PERIOD]
Rules:
calm [AND] uptight [AND] combative [IMPLY] grumpy [PERIOD]
grumpy [AND] calm [IMPLY] thoughtless [PERIOD]
pessimistic [IMPLY] thoughtless [PERIOD]
cooperative [IMPLY] uptight [PERIOD]
pessimistic [IMPLY] difficult [PERIOD]
pessimistic [AND] cooperative [IMPLY] uptight [PERIOD]
grumpy [AND] pessimistic [IMPLY] intellectual [PERIOD]
intellectual [AND] frightened [IMPLY] thoughtless [PERIOD]
different [IMPLY] grumpy [PERIOD]
uptight [AND] different [AND] reserved [IMPLY] spotless [PERIOD]
fine [IMPLY] calm [PERIOD]
combative [IMPLY] reserved [PERIOD]
intellectual [AND] anxious [AND] pleasant [IMPLY] uptight [PERIOD]
pessimistic [AND] intellectual [IMPLY] uptight [PERIOD]
reserved [AND] combative [AND] different [IMPLY] pessimistic [PERIOD]
pessimistic [AND] reserved [AND] grumpy [IMPLY] different [PERIOD]
intellectual [IMPLY] uptight [PERIOD]
cooperative [AND] pleasant [IMPLY] reserved [PERIOD]
intellectual [AND] distinct [AND] ambitious [IMPLY] frightened [PERIOD]
combative [AND] spotless [IMPLY] uptight [PERIOD]
ambitious [IMPLY] grumpy [PERIOD]
combative [AND] distinct [IMPLY] pessimistic [PERIOD]
cooperative [AND] spotless [IMPLY] fine [PERIOD]
distinct [IMPLY] pessimistic [PERIOD]
pleasant [AND] pessimistic [AND] spotless [IMPLY] distinct [PERIOD]
intellectual [IMPLY] frightened [PERIOD]
fine [AND] uptight [IMPLY] spotless [PERIOD]
intellectual [AND] difficult [AND] cooperative [IMPLY] fine [PERIOD]
thoughtless [AND] grumpy [IMPLY] intellectual [PERIOD]
pessimistic [AND] grumpy [IMPLY] different [PERIOD]
pessimistic [IMPLY] spotless [PERIOD]
pessimistic [AND] thoughtless [AND] distinct [IMPLY] combative [PERIOD]
uptight [AND] pessimistic [AND] pleasant [IMPLY] reserved [PERIOD]
spotless [IMPLY] anxious [PERIOD]
cooperative [IMPLY] combative [PERIOD]
pessimistic [AND] different [IMPLY] uptight [PERIOD]
frightened [AND] different [AND] difficult [IMPLY] fine [PERIOD]
calm [IMPLY] cooperative [PERIOD]
thoughtless [AND] cooperative [AND] pleasant [IMPLY] ambitious [PERIOD]
thoughtless [AND] uptight [AND] difficult [IMPLY] anxious [PERIOD]
reserved [AND] thoughtless [IMPLY] pessimistic [PERIOD]
ambitious [AND] anxious [AND] cooperative [IMPLY] distinct [PERIOD]
reserved [IMPLY] intellectual [PERIOD]
fine [AND] reserved [IMPLY] ambitious [PERIOD]
spotless [AND] thoughtless [AND] grumpy [IMPLY] frightened [PERIOD]
pleasant [AND] spotless [IMPLY] uptight [PERIOD]
thoughtless [AND] calm [IMPLY] different [PERIOD]
distinct [AND] frightened [IMPLY] grumpy [PERIOD]
difficult [AND] cooperative [IMPLY] anxious [PERIOD]
different [AND] spotless [AND] pleasant [IMPLY] difficult [PERIOD]
grumpy [AND] anxious [AND] calm [IMPLY] frightened [PERIOD]
pessimistic [AND] pleasant [AND] uptight [IMPLY] different [PERIOD]
cooperative [IMPLY] grumpy [PERIOD]
thoughtless [AND] fine [AND] calm [IMPLY] grumpy [PERIOD]
calm [IMPLY] ambitious [PERIOD]
difficult [AND] grumpy [AND] fine [IMPLY] pleasant [PERIOD]
anxious [AND] cooperative [AND] frightened [IMPLY] spotless [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   cooperative ⇒ combative
   combative ⇒ reserved
   intellectual ⇒ frightened
   intellectual ∧ frightened ⇒ thoughtless
   reserved ∧ thoughtless ⇒ pessimistic
   pessimistic ⇒ difficult
   intellectual ∧ difficult ∧ cooperative ⇒ fine
",1,7
"Facts:  Alice is sincere [PERIOD]
Rules:
sincere [AND] plain [IMPLY] nervous [PERIOD]
tidy [IMPLY] nervous [PERIOD]
tidy [AND] joyous [IMPLY] helpless [PERIOD]
helpless [AND] nervous [AND] excited [IMPLY] jittery [PERIOD]
stormy [AND] plain [IMPLY] frightened [PERIOD]
joyous [IMPLY] tender [PERIOD]
stormy [AND] joyous [AND] tidy [IMPLY] nervous [PERIOD]
plain [IMPLY] joyous [PERIOD]
helpless [IMPLY] joyous [PERIOD]
nervous [AND] excited [IMPLY] plain [PERIOD]
joyous [IMPLY] frightened [PERIOD]
frightened [IMPLY] excited [PERIOD]
stormy [AND] helpless [AND] careless [IMPLY] sincere [PERIOD]
joyous [IMPLY] distinct [PERIOD]
jittery [AND] tidy [AND] sincere [IMPLY] helpless [PERIOD]
distinct [AND] careless [AND] jittery [IMPLY] stormy [PERIOD]
frightened [AND] joyous [IMPLY] plain [PERIOD]
helpless [AND] joyous [IMPLY] jittery [PERIOD]
tender [AND] plain [AND] excited [IMPLY] distinct [PERIOD]
careless [AND] plain [AND] excited [IMPLY] distinct [PERIOD]
tidy [IMPLY] excited [PERIOD]
tidy [AND] excited [AND] stormy [IMPLY] distinct [PERIOD]
jittery [AND] stormy [IMPLY] excited [PERIOD]
tender [AND] tidy [IMPLY] frightened [PERIOD]
tender [IMPLY] stormy [PERIOD]
excited [AND] joyous [IMPLY] helpless [PERIOD]
plain [IMPLY] distinct [PERIOD]
helpless [AND] jittery [AND] sincere [IMPLY] distinct [PERIOD]
helpless [AND] jittery [IMPLY] plain [PERIOD]
jittery [IMPLY] helpless [PERIOD]
nervous [AND] tidy [AND] distinct [IMPLY] jittery [PERIOD]
stormy [AND] joyous [AND] plain [IMPLY] helpless [PERIOD]
careless [IMPLY] distinct [PERIOD]
helpless [IMPLY] frightened [PERIOD]
jittery [AND] careless [AND] frightened [IMPLY] joyous [PERIOD]
tender [IMPLY] nervous [PERIOD]
stormy [AND] tender [AND] plain [IMPLY] joyous [PERIOD]
stormy [AND] plain [IMPLY] careless [PERIOD]
distinct [AND] tender [AND] helpless [IMPLY] excited [PERIOD]
stormy [AND] helpless [AND] tender [IMPLY] jittery [PERIOD]
careless [AND] excited [AND] stormy [IMPLY] sincere [PERIOD]
helpless [IMPLY] tender [PERIOD]
jittery [IMPLY] joyous [PERIOD]
careless [AND] helpless [AND] plain [IMPLY] joyous [PERIOD]
excited [AND] joyous [AND] tender [IMPLY] helpless [PERIOD]
helpless [AND] sincere [AND] tender [IMPLY] stormy [PERIOD]
stormy [AND] jittery [IMPLY] tender [PERIOD]
distinct [AND] nervous [IMPLY] tender [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   Cannot apply rule “distinct ∧ careless ∧ jittery ⇒ stormy” because missing: distinct, careless, jittery.
   Cannot apply rule “tender ⇒ stormy” because missing: tender.
   Cannot apply rule “helpless ∧ sincere ∧ tender ⇒ stormy” because missing: helpless, tender.
",0,3
"Facts:  Alice is shiny [PERIOD] Alice is grumpy [PERIOD] Alice is long [PERIOD] Alice is diplomatic [PERIOD] Alice is adorable [PERIOD] Alice is worried [PERIOD] Alice is spotless [PERIOD] Alice is cute [PERIOD] Alice is tidy [PERIOD] Alice is perfect [PERIOD] Alice is ugly [PERIOD] Alice is combative [PERIOD] Alice is lonely [PERIOD]
Rules:
ugly [IMPLY] worried [PERIOD]
diplomatic [AND] shiny [IMPLY] cute [PERIOD]
cute [AND] long [IMPLY] ugly [PERIOD]
combative [AND] bright [AND] tidy [IMPLY] long [PERIOD]
shiny [AND] perfect [IMPLY] tidy [PERIOD]
tired [AND] shiny [AND] combative [IMPLY] ugly [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
good [AND] mean [IMPLY] stormy [PERIOD]
comfortable [AND] jittery [AND] wrong [IMPLY] adorable [PERIOD]
embarrassed [AND] comfortable [IMPLY] good [PERIOD]
serious [AND] jittery [IMPLY] plain [PERIOD]
adorable [AND] good [AND] wrong [IMPLY] comfortable [PERIOD]
good [AND] plain [IMPLY] adorable [PERIOD]
mean [AND] jittery [IMPLY] plain [PERIOD]
stormy [IMPLY] adorable [PERIOD]
jittery [AND] mean [AND] adorable [IMPLY] embarrassed [PERIOD]
serious [AND] comfortable [IMPLY] jittery [PERIOD]
serious [AND] wrong [IMPLY] embarrassed [PERIOD]
good [IMPLY] stormy [PERIOD]
wrong [IMPLY] serious [PERIOD]
wrong [AND] mean [AND] stormy [IMPLY] good [PERIOD]
good [AND] plain [AND] adorable [IMPLY] comfortable [PERIOD]
mean [AND] good [AND] adorable [IMPLY] comfortable [PERIOD]
embarrassed [AND] good [AND] jittery [IMPLY] plain [PERIOD]
comfortable [AND] serious [IMPLY] embarrassed [PERIOD]
wrong [IMPLY] stormy [PERIOD]
embarrassed [AND] comfortable [AND] adorable [IMPLY] plain [PERIOD]
plain [AND] wrong [AND] good [IMPLY] comfortable [PERIOD]
plain [IMPLY] embarrassed [PERIOD]
mean [AND] serious [AND] plain [IMPLY] wrong [PERIOD]
mean [AND] good [AND] embarrassed [IMPLY] plain [PERIOD]
comfortable [AND] wrong [AND] serious [IMPLY] embarrassed [PERIOD]
plain [AND] good [AND] stormy [IMPLY] mean [PERIOD]
good [IMPLY] jittery [PERIOD]
comfortable [IMPLY] stormy [PERIOD]
mean [AND] embarrassed [AND] adorable [IMPLY] stormy [PERIOD]
plain [AND] wrong [AND] serious [IMPLY] comfortable [PERIOD]
comfortable [AND] embarrassed [AND] plain [IMPLY] wrong [PERIOD]
good [AND] plain [AND] wrong [IMPLY] serious [PERIOD]
mean [AND] wrong [AND] plain [IMPLY] stormy [PERIOD]
wrong [IMPLY] mean [PERIOD]
Query: Alice is adorable [PERIOD]","Proof chain:
   Cannot apply rule “comfortable ∧ jittery ∧ wrong ⇒ adorable” because missing: comfortable, jittery, wrong.
   Cannot apply rule “good ∧ plain ⇒ adorable” because missing: good, plain.
   Cannot apply rule “stormy ⇒ adorable” because missing: stormy.
",0,3
"Facts:  Alice is diplomatic [PERIOD] Alice is straightforward [PERIOD] Alice is frightened [PERIOD]
Rules:
rude [IMPLY] diplomatic [PERIOD]
bright [AND] weary [IMPLY] elated [PERIOD]
busy [IMPLY] elated [PERIOD]
fine [AND] thoughtful [AND] curious [IMPLY] straightforward [PERIOD]
embarrassed [AND] weary [AND] frightened [IMPLY] diplomatic [PERIOD]
straightforward [AND] fine [AND] weary [IMPLY] rude [PERIOD]
alert [IMPLY] weary [PERIOD]
fine [AND] diplomatic [IMPLY] loving [PERIOD]
thoughtful [AND] straightforward [AND] diplomatic [IMPLY] fine [PERIOD]
innocent [IMPLY] alert [PERIOD]
thoughtful [AND] alert [AND] straightforward [IMPLY] busy [PERIOD]
embarrassed [AND] loving [AND] diplomatic [IMPLY] confident [PERIOD]
straightforward [IMPLY] embarrassed [PERIOD]
curious [IMPLY] bright [PERIOD]
diplomatic [IMPLY] frightened [PERIOD]
fine [IMPLY] busy [PERIOD]
busy [AND] straightforward [IMPLY] loving [PERIOD]
fine [IMPLY] fancy [PERIOD]
innocent [IMPLY] elated [PERIOD]
innocent [AND] confident [IMPLY] loving [PERIOD]
bright [AND] curious [IMPLY] confident [PERIOD]
alert [IMPLY] loving [PERIOD]
fine [IMPLY] straightforward [PERIOD]
embarrassed [IMPLY] straightforward [PERIOD]
fancy [IMPLY] alert [PERIOD]
diplomatic [AND] rude [IMPLY] loving [PERIOD]
fine [AND] loving [AND] rude [IMPLY] frightened [PERIOD]
curious [AND] rude [AND] thoughtful [IMPLY] bright [PERIOD]
frightened [AND] fancy [AND] confident [IMPLY] diplomatic [PERIOD]
busy [AND] weary [AND] thoughtful [IMPLY] elated [PERIOD]
rude [IMPLY] curious [PERIOD]
busy [AND] rude [IMPLY] alert [PERIOD]
thoughtful [AND] fine [IMPLY] bright [PERIOD]
bright [IMPLY] diplomatic [PERIOD]
straightforward [AND] elated [AND] busy [IMPLY] frightened [PERIOD]
weary [AND] diplomatic [IMPLY] busy [PERIOD]
straightforward [AND] fine [AND] bright [IMPLY] weary [PERIOD]
weary [AND] rude [AND] embarrassed [IMPLY] busy [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
   Cannot apply rule “thoughtful ∧ alert ∧ straightforward ⇒ busy” because missing: thoughtful, alert.
   Cannot apply rule “fine ⇒ busy” because missing: fine.
   Cannot apply rule “weary ∧ diplomatic ⇒ busy” because missing: weary.
   straightforward ⇒ embarrassed
   Cannot apply rule “weary ∧ rude ∧ embarrassed ⇒ busy” because missing: weary, rude.
",0,5
"Facts:  Alice is unpleasant [PERIOD]
Rules:
helpful [IMPLY] rational [PERIOD]
helpful [AND] unpleasant [AND] silly [IMPLY] thoughtful [PERIOD]
proud [AND] pessimistic [AND] confident [IMPLY] unpleasant [PERIOD]
pessimistic [AND] helpful [IMPLY] rational [PERIOD]
old-fashioned [AND] thoughtful [IMPLY] stormy [PERIOD]
pessimistic [AND] hilarious [IMPLY] confident [PERIOD]
proud [AND] stormy [IMPLY] pessimistic [PERIOD]
rational [AND] silly [AND] uptight [IMPLY] polite [PERIOD]
thoughtful [AND] silly [AND] uptight [IMPLY] nervous [PERIOD]
reserved [AND] broad-minded [IMPLY] thoughtful [PERIOD]
hilarious [AND] serious [IMPLY] uptight [PERIOD]
old-fashioned [AND] homely [AND] clumsy [IMPLY] stormy [PERIOD]
stormy [AND] uptight [IMPLY] helpful [PERIOD]
nervous [IMPLY] reserved [PERIOD]
quaint [IMPLY] helpful [PERIOD]
helpful [IMPLY] stormy [PERIOD]
polite [AND] nervous [IMPLY] pessimistic [PERIOD]
plain [AND] hilarious [IMPLY] rational [PERIOD]
serious [AND] nervous [IMPLY] thoughtful [PERIOD]
confident [AND] helpful [AND] unpleasant [IMPLY] nervous [PERIOD]
pessimistic [IMPLY] rational [PERIOD]
homely [AND] stormy [IMPLY] plain [PERIOD]
nervous [AND] pessimistic [AND] old-fashioned [IMPLY] unpleasant [PERIOD]
pessimistic [IMPLY] thoughtful [PERIOD]
beautiful [AND] clumsy [AND] quaint [IMPLY] proud [PERIOD]
stormy [AND] thoughtful [AND] unpleasant [IMPLY] old-fashioned [PERIOD]
quaint [AND] rational [AND] helpful [IMPLY] pessimistic [PERIOD]
uptight [IMPLY] rational [PERIOD]
broad-minded [AND] helpful [IMPLY] reserved [PERIOD]
homely [AND] uptight [IMPLY] hilarious [PERIOD]
nervous [IMPLY] unpleasant [PERIOD]
reserved [IMPLY] silly [PERIOD]
plain [AND] clumsy [AND] homely [IMPLY] reserved [PERIOD]
rational [IMPLY] unpleasant [PERIOD]
serious [IMPLY] thoughtful [PERIOD]
uptight [AND] hilarious [AND] broad-minded [IMPLY] unpleasant [PERIOD]
helpful [IMPLY] thoughtful [PERIOD]
beautiful [AND] confident [AND] serious [IMPLY] clumsy [PERIOD]
pessimistic [AND] plain [IMPLY] uptight [PERIOD]
broad-minded [IMPLY] unpleasant [PERIOD]
polite [AND] homely [AND] broad-minded [IMPLY] unpleasant [PERIOD]
pessimistic [IMPLY] quaint [PERIOD]
broad-minded [AND] polite [AND] confident [IMPLY] silly [PERIOD]
clumsy [AND] confident [IMPLY] nervous [PERIOD]
polite [AND] serious [AND] proud [IMPLY] quaint [PERIOD]
rational [AND] stormy [AND] beautiful [IMPLY] uptight [PERIOD]
silly [AND] confident [IMPLY] plain [PERIOD]
polite [AND] thoughtful [AND] broad-minded [IMPLY] nervous [PERIOD]
serious [AND] broad-minded [AND] polite [IMPLY] rational [PERIOD]
silly [AND] helpful [IMPLY] homely [PERIOD]
pessimistic [IMPLY] hilarious [PERIOD]
serious [AND] plain [IMPLY] beautiful [PERIOD]
quaint [AND] reserved [IMPLY] rational [PERIOD]
quaint [AND] nervous [AND] polite [IMPLY] uptight [PERIOD]
nervous [AND] thoughtful [AND] old-fashioned [IMPLY] stormy [PERIOD]
nervous [AND] proud [IMPLY] hilarious [PERIOD]
plain [IMPLY] thoughtful [PERIOD]
stormy [AND] homely [IMPLY] polite [PERIOD]
uptight [AND] quaint [IMPLY] broad-minded [PERIOD]
polite [IMPLY] thoughtful [PERIOD]
thoughtful [AND] uptight [IMPLY] silly [PERIOD]
thoughtful [AND] hilarious [AND] proud [IMPLY] old-fashioned [PERIOD]
broad-minded [AND] confident [AND] quaint [IMPLY] old-fashioned [PERIOD]
broad-minded [AND] nervous [IMPLY] confident [PERIOD]
unpleasant [IMPLY] old-fashioned [PERIOD]
hilarious [AND] silly [IMPLY] helpful [PERIOD]
homely [IMPLY] uptight [PERIOD]
rational [AND] confident [AND] plain [IMPLY] reserved [PERIOD]
unpleasant [AND] reserved [AND] old-fashioned [IMPLY] plain [PERIOD]
rational [AND] old-fashioned [IMPLY] hilarious [PERIOD]
clumsy [AND] serious [IMPLY] uptight [PERIOD]
clumsy [IMPLY] stormy [PERIOD]
clumsy [IMPLY] serious [PERIOD]
pessimistic [AND] proud [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] confident [IMPLY] helpful [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   Cannot apply rule “reserved ⇒ silly” because missing: reserved.
   Cannot apply rule “broad-minded ∧ polite ∧ confident ⇒ silly” because missing: broad-minded, polite, confident.
   Cannot apply rule “thoughtful ∧ uptight ⇒ silly” because missing: thoughtful, uptight.
",0,3
"Facts:  Alice is charming [PERIOD]
Rules:
fancy [IMPLY] spotless [PERIOD]
calm [AND] scared [IMPLY] cute [PERIOD]
lonely [AND] talented [AND] calm [IMPLY] outstanding [PERIOD]
scared [AND] talented [IMPLY] lonely [PERIOD]
scared [AND] cute [IMPLY] lonely [PERIOD]
calm [AND] fancy [IMPLY] lonely [PERIOD]
calm [AND] outstanding [AND] cute [IMPLY] lonely [PERIOD]
talented [AND] lonely [AND] elated [IMPLY] spotless [PERIOD]
outstanding [IMPLY] talented [PERIOD]
scared [IMPLY] lonely [PERIOD]
spotless [AND] lonely [IMPLY] scared [PERIOD]
helpful [AND] lonely [AND] fancy [IMPLY] charming [PERIOD]
cute [AND] lonely [AND] fancy [IMPLY] talented [PERIOD]
calm [AND] charming [IMPLY] scared [PERIOD]
elated [IMPLY] outstanding [PERIOD]
helpful [IMPLY] fancy [PERIOD]
fancy [AND] helpful [AND] spotless [IMPLY] calm [PERIOD]
lonely [AND] charming [AND] spotless [IMPLY] helpful [PERIOD]
lonely [IMPLY] helpful [PERIOD]
scared [IMPLY] spotless [PERIOD]
outstanding [AND] fancy [AND] cute [IMPLY] spotless [PERIOD]
elated [AND] calm [IMPLY] charming [PERIOD]
outstanding [AND] helpful [AND] calm [IMPLY] cute [PERIOD]
calm [AND] lonely [IMPLY] cute [PERIOD]
fancy [AND] helpful [IMPLY] cute [PERIOD]
spotless [AND] charming [AND] fancy [IMPLY] talented [PERIOD]
elated [AND] calm [AND] fancy [IMPLY] outstanding [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
   Cannot apply rule “scared ∧ talented ⇒ lonely” because missing: scared, talented.
   Cannot apply rule “scared ∧ cute ⇒ lonely” because missing: scared, cute.
   Cannot apply rule “calm ∧ fancy ⇒ lonely” because missing: calm, fancy.
   Cannot apply rule “calm ∧ outstanding ∧ cute ⇒ lonely” because missing: calm, outstanding, cute.
   Cannot apply rule “scared ⇒ lonely” because missing: scared.
",0,5
"Facts:  Alice is distinct [PERIOD] Alice is outrageous [PERIOD] Alice is cute [PERIOD] Alice is silly [PERIOD] Alice is thoughtless [PERIOD] Alice is joyous [PERIOD] Alice is loving [PERIOD] Alice is curious [PERIOD] Alice is victorious [PERIOD] Alice is tidy [PERIOD] Alice is stupid [PERIOD] Alice is ambitious [PERIOD] Alice is sensible [PERIOD] Alice is elated [PERIOD] Alice is tender [PERIOD] Alice is light [PERIOD]
Rules:
bored [IMPLY] rational [PERIOD]
gleaming [IMPLY] loving [PERIOD]
light [AND] silly [AND] outrageous [IMPLY] thoughtless [PERIOD]
easy [AND] loving [AND] silly [IMPLY] elated [PERIOD]
rational [IMPLY] outrageous [PERIOD]
stupid [AND] light [IMPLY] joyous [PERIOD]
quaint [AND] silly [AND] diplomatic [IMPLY] curious [PERIOD]
rational [AND] joyous [IMPLY] curious [PERIOD]
cute [IMPLY] thoughtless [PERIOD]
cute [AND] crowded [AND] thoughtless [IMPLY] distinct [PERIOD]
victorious [AND] easy [IMPLY] rational [PERIOD]
victorious [AND] stupid [AND] distinct [IMPLY] rational [PERIOD]
loving [AND] glamorous [IMPLY] bored [PERIOD]
calm [IMPLY] quaint [PERIOD]
thoughtless [AND] victorious [AND] glamorous [IMPLY] cute [PERIOD]
loving [IMPLY] stupid [PERIOD]
crowded [AND] stormy [IMPLY] thoughtless [PERIOD]
dishonest [AND] ambitious [IMPLY] quaint [PERIOD]
thoughtless [AND] bored [IMPLY] tidy [PERIOD]
silly [IMPLY] diplomatic [PERIOD]
confident [AND] glamorous [AND] stormy [IMPLY] joyous [PERIOD]
sensible [AND] gleaming [AND] beautiful [IMPLY] crowded [PERIOD]
elated [AND] loving [IMPLY] stupid [PERIOD]
curious [IMPLY] loving [PERIOD]
tidy [AND] thoughtless [IMPLY] cute [PERIOD]
elated [IMPLY] rational [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is enchanting [PERIOD] Alice is friendly [PERIOD] Alice is aggressive [PERIOD] Alice is worried [PERIOD] Alice is polite [PERIOD] Alice is beautiful [PERIOD] Alice is troubled [PERIOD]
Rules:
muddy [IMPLY] cooperative [PERIOD]
beautiful [AND] worried [IMPLY] aggressive [PERIOD]
beautiful [IMPLY] curious [PERIOD]
average [AND] curious [AND] beautiful [IMPLY] muddy [PERIOD]
troubled [IMPLY] polite [PERIOD]
muddy [AND] cooperative [AND] beautiful [IMPLY] polite [PERIOD]
easy [AND] worried [IMPLY] enchanting [PERIOD]
average [IMPLY] muddy [PERIOD]
muddy [AND] fragile [IMPLY] curious [PERIOD]
curious [AND] easy [IMPLY] troubled [PERIOD]
cooperative [IMPLY] polite [PERIOD]
friendly [AND] enchanting [IMPLY] troubled [PERIOD]
troubled [AND] worried [AND] curious [IMPLY] average [PERIOD]
fragile [IMPLY] cooperative [PERIOD]
average [AND] easy [IMPLY] troubled [PERIOD]
fragile [IMPLY] muddy [PERIOD]
beautiful [IMPLY] polite [PERIOD]
aggressive [AND] polite [IMPLY] cooperative [PERIOD]
average [AND] muddy [IMPLY] polite [PERIOD]
friendly [IMPLY] cooperative [PERIOD]
curious [AND] polite [AND] worried [IMPLY] average [PERIOD]
enchanting [AND] friendly [IMPLY] beautiful [PERIOD]
average [IMPLY] enchanting [PERIOD]
worried [AND] fragile [IMPLY] average [PERIOD]
polite [AND] troubled [IMPLY] fragile [PERIOD]
worried [IMPLY] enchanting [PERIOD]
polite [AND] troubled [AND] aggressive [IMPLY] fragile [PERIOD]
muddy [AND] friendly [AND] aggressive [IMPLY] easy [PERIOD]
polite [IMPLY] average [PERIOD]
curious [AND] friendly [IMPLY] cooperative [PERIOD]
enchanting [AND] aggressive [AND] polite [IMPLY] friendly [PERIOD]
polite [AND] cooperative [IMPLY] enchanting [PERIOD]
curious [AND] fragile [IMPLY] worried [PERIOD]
average [AND] aggressive [AND] fragile [IMPLY] enchanting [PERIOD]
friendly [AND] muddy [IMPLY] aggressive [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is vivacious [PERIOD] Alice is inexpensive [PERIOD] Alice is gifted [PERIOD] Alice is confused [PERIOD] Alice is old-fashioned [PERIOD] Alice is aggressive [PERIOD] Alice is helpful [PERIOD] Alice is light [PERIOD]
Rules:
sensible [AND] proud [AND] confused [IMPLY] light [PERIOD]
unpleasant [AND] helpless [AND] zealous [IMPLY] wrong [PERIOD]
helpful [AND] bored [IMPLY] aggressive [PERIOD]
bored [AND] confused [IMPLY] inexpensive [PERIOD]
fine [AND] proud [IMPLY] unpleasant [PERIOD]
aggressive [IMPLY] bored [PERIOD]
gifted [AND] inexpensive [IMPLY] light [PERIOD]
fine [AND] zealous [IMPLY] proud [PERIOD]
fine [AND] excited [IMPLY] aggressive [PERIOD]
wrong [AND] inexpensive [AND] vivacious [IMPLY] bored [PERIOD]
grumpy [AND] shiny [IMPLY] helpful [PERIOD]
zealous [AND] fine [IMPLY] hilarious [PERIOD]
confused [AND] wrong [AND] grumpy [IMPLY] hilarious [PERIOD]
vivacious [AND] light [AND] grumpy [IMPLY] broad-minded [PERIOD]
fine [AND] vivacious [AND] old-fashioned [IMPLY] excited [PERIOD]
straightforward [AND] aggressive [IMPLY] bored [PERIOD]
wrong [AND] unpleasant [AND] vivacious [IMPLY] old-fashioned [PERIOD]
hilarious [AND] excited [AND] fearless [IMPLY] shiny [PERIOD]
helpless [AND] light [IMPLY] aggressive [PERIOD]
helpless [AND] helpful [IMPLY] broad-minded [PERIOD]
shiny [IMPLY] proud [PERIOD]
confused [AND] unpleasant [IMPLY] wrong [PERIOD]
bored [AND] confused [AND] wrong [IMPLY] vivacious [PERIOD]
gifted [AND] proud [AND] light [IMPLY] sensible [PERIOD]
dull [AND] straightforward [IMPLY] confused [PERIOD]
bored [IMPLY] unpleasant [PERIOD]
shiny [IMPLY] aggressive [PERIOD]
hilarious [IMPLY] aggressive [PERIOD]
gifted [AND] aggressive [IMPLY] sensible [PERIOD]
hilarious [IMPLY] grumpy [PERIOD]
gifted [IMPLY] vivacious [PERIOD]
hilarious [AND] bored [IMPLY] helpful [PERIOD]
straightforward [IMPLY] helpful [PERIOD]
sensible [AND] zealous [IMPLY] broad-minded [PERIOD]
helpless [IMPLY] grumpy [PERIOD]
shiny [IMPLY] unpleasant [PERIOD]
bored [AND] sensible [IMPLY] aggressive [PERIOD]
Query: Alice is proud [PERIOD]","Proof chain:
   Cannot apply rule “fine ∧ zealous ⇒ proud” because missing: fine, zealous.
   Cannot apply rule “shiny ⇒ proud” because missing: shiny.
",0,2
"Facts:  Alice is pleasant [PERIOD]
Rules:
ambitious [IMPLY] excited [PERIOD]
intellectual [IMPLY] rude [PERIOD]
excited [IMPLY] intellectual [PERIOD]
rude [AND] ambitious [IMPLY] pleasant [PERIOD]
ambitious [AND] frail [AND] pleasant [IMPLY] rude [PERIOD]
mean [AND] ambitious [IMPLY] pleasant [PERIOD]
intellectual [AND] mean [AND] frail [IMPLY] excited [PERIOD]
rude [AND] excited [AND] pleasant [IMPLY] frail [PERIOD]
excited [AND] ambitious [IMPLY] frail [PERIOD]
pleasant [AND] mean [AND] excited [IMPLY] frail [PERIOD]
pleasant [IMPLY] intellectual [PERIOD]
intellectual [AND] frail [IMPLY] ambitious [PERIOD]
excited [AND] frail [IMPLY] pleasant [PERIOD]
excited [AND] pleasant [AND] rude [IMPLY] intellectual [PERIOD]
frail [IMPLY] mean [PERIOD]
frail [AND] pleasant [AND] rude [IMPLY] intellectual [PERIOD]
excited [AND] mean [AND] ambitious [IMPLY] intellectual [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   pleasant ⇒ intellectual
   intellectual ⇒ rude
   Cannot apply rule “rude ∧ excited ∧ pleasant ⇒ frail” because missing: excited.
   Cannot apply rule “excited ∧ ambitious ⇒ frail” because missing: excited, ambitious.
   Cannot apply rule “pleasant ∧ mean ∧ excited ⇒ frail” because missing: mean, excited.
",0,5
"Facts:  Alice is hurt [PERIOD] Alice is elated [PERIOD] Alice is difficult [PERIOD] Alice is curious [PERIOD] Alice is precious [PERIOD] Alice is thoughtless [PERIOD] Alice is lonely [PERIOD] Alice is fragile [PERIOD] Alice is disobedient [PERIOD]
Rules:
confused [AND] hurt [AND] average [IMPLY] reserved [PERIOD]
modern [AND] curious [IMPLY] hurt [PERIOD]
difficult [IMPLY] precious [PERIOD]
weary [AND] modern [IMPLY] thoughtless [PERIOD]
reserved [AND] confused [IMPLY] joyous [PERIOD]
lonely [AND] average [IMPLY] fragile [PERIOD]
precious [AND] calm [IMPLY] reserved [PERIOD]
serious [IMPLY] disobedient [PERIOD]
curious [AND] hurt [AND] clumsy [IMPLY] lonely [PERIOD]
joyous [AND] calm [AND] elated [IMPLY] fragile [PERIOD]
quaint [AND] thoughtless [IMPLY] fragile [PERIOD]
thoughtless [IMPLY] fragile [PERIOD]
clumsy [AND] disobedient [AND] fragile [IMPLY] curious [PERIOD]
quaint [AND] average [IMPLY] fragile [PERIOD]
weary [AND] reserved [IMPLY] calm [PERIOD]
joyous [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] thoughtless [PERIOD]
quaint [IMPLY] joyous [PERIOD]
difficult [AND] reserved [AND] serious [IMPLY] curious [PERIOD]
joyous [IMPLY] average [PERIOD]
modern [AND] calm [AND] disobedient [IMPLY] reserved [PERIOD]
confused [AND] joyous [IMPLY] fragile [PERIOD]
reserved [AND] elated [AND] fragile [IMPLY] clumsy [PERIOD]
joyous [IMPLY] reserved [PERIOD]
fragile [AND] average [AND] joyous [IMPLY] precious [PERIOD]
fragile [AND] difficult [AND] clumsy [IMPLY] precious [PERIOD]
serious [AND] difficult [IMPLY] precious [PERIOD]
confused [IMPLY] thoughtless [PERIOD]
elated [AND] calm [AND] reserved [IMPLY] quaint [PERIOD]
fragile [AND] confused [AND] average [IMPLY] modern [PERIOD]
thoughtless [IMPLY] difficult [PERIOD]
reserved [AND] lonely [AND] weary [IMPLY] precious [PERIOD]
clumsy [AND] precious [IMPLY] lonely [PERIOD]
hurt [AND] confused [IMPLY] calm [PERIOD]
quaint [AND] modern [IMPLY] thoughtless [PERIOD]
quaint [AND] joyous [AND] average [IMPLY] modern [PERIOD]
quaint [AND] confused [IMPLY] difficult [PERIOD]
serious [AND] curious [IMPLY] confused [PERIOD]
difficult [AND] curious [IMPLY] lonely [PERIOD]
thoughtless [AND] calm [IMPLY] clumsy [PERIOD]
disobedient [AND] serious [IMPLY] hurt [PERIOD]
calm [AND] disobedient [AND] hurt [IMPLY] modern [PERIOD]
calm [AND] reserved [IMPLY] joyous [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
   Cannot apply rule “reserved ∧ confused ⇒ joyous” because missing: reserved, confused.
   Cannot apply rule “quaint ⇒ joyous” because missing: quaint.
   Cannot apply rule “calm ∧ reserved ⇒ joyous” because missing: calm, reserved.
",0,3
"Facts:  Alice is victorious [PERIOD] Alice is mean [PERIOD] Alice is rude [PERIOD] Alice is talkative [PERIOD] Alice is nervous [PERIOD] Alice is polite [PERIOD] Alice is quaint [PERIOD] Alice is jittery [PERIOD]
Rules:
powerful [IMPLY] cute [PERIOD]
pleasant [IMPLY] horrible [PERIOD]
rude [IMPLY] victorious [PERIOD]
rude [AND] cute [AND] tender [IMPLY] quaint [PERIOD]
straightforward [AND] beautiful [IMPLY] scared [PERIOD]
beautiful [AND] quaint [IMPLY] horrible [PERIOD]
beautiful [AND] cute [IMPLY] tender [PERIOD]
victorious [AND] jittery [IMPLY] quaint [PERIOD]
serious [IMPLY] comfortable [PERIOD]
serious [AND] talkative [IMPLY] victorious [PERIOD]
horrible [AND] cute [IMPLY] talkative [PERIOD]
talkative [AND] impatient [IMPLY] jittery [PERIOD]
victorious [AND] frightened [IMPLY] mean [PERIOD]
famous [IMPLY] frightened [PERIOD]
jittery [AND] straightforward [AND] quaint [IMPLY] bossy [PERIOD]
tender [AND] jittery [AND] powerful [IMPLY] helpless [PERIOD]
careless [AND] pleasant [IMPLY] helpless [PERIOD]
horrible [AND] mean [AND] polite [IMPLY] comfortable [PERIOD]
worrisome [IMPLY] helpless [PERIOD]
frightened [AND] horrible [IMPLY] supportive [PERIOD]
impatient [AND] bossy [IMPLY] pleasant [PERIOD]
mean [IMPLY] hypocritical [PERIOD]
rude [AND] jittery [IMPLY] supportive [PERIOD]
clean [AND] scared [IMPLY] frightened [PERIOD]
clean [IMPLY] quaint [PERIOD]
polite [AND] careless [AND] hypocritical [IMPLY] talkative [PERIOD]
supportive [IMPLY] victorious [PERIOD]
bossy [AND] cute [IMPLY] mean [PERIOD]
nervous [IMPLY] cute [PERIOD]
tender [IMPLY] clean [PERIOD]
bossy [IMPLY] supportive [PERIOD]
impatient [AND] powerful [AND] blushing [IMPLY] quaint [PERIOD]
powerful [IMPLY] polite [PERIOD]
pleasant [AND] quaint [IMPLY] powerful [PERIOD]
clean [AND] polite [AND] careless [IMPLY] rude [PERIOD]
jittery [AND] mean [IMPLY] supportive [PERIOD]
serious [IMPLY] clean [PERIOD]
impatient [IMPLY] clean [PERIOD]
frightened [AND] pleasant [IMPLY] polite [PERIOD]
horrible [IMPLY] beautiful [PERIOD]
powerful [AND] cute [IMPLY] polite [PERIOD]
tender [AND] straightforward [IMPLY] clean [PERIOD]
beautiful [IMPLY] pleasant [PERIOD]
quaint [AND] tender [IMPLY] frightened [PERIOD]
nervous [IMPLY] helpless [PERIOD]
serious [AND] beautiful [IMPLY] rude [PERIOD]
comfortable [AND] serious [AND] quaint [IMPLY] hurt [PERIOD]
blushing [AND] cute [AND] mean [IMPLY] hypocritical [PERIOD]
scared [AND] bossy [IMPLY] careless [PERIOD]
tender [IMPLY] straightforward [PERIOD]
careless [AND] impatient [IMPLY] horrible [PERIOD]
rude [AND] horrible [IMPLY] polite [PERIOD]
victorious [IMPLY] rude [PERIOD]
powerful [AND] nervous [AND] victorious [IMPLY] comfortable [PERIOD]
bossy [AND] supportive [IMPLY] famous [PERIOD]
serious [IMPLY] supportive [PERIOD]
pleasant [AND] scared [IMPLY] bossy [PERIOD]
cute [AND] beautiful [IMPLY] comfortable [PERIOD]
helpless [AND] mean [IMPLY] jittery [PERIOD]
hypocritical [IMPLY] serious [PERIOD]
quaint [IMPLY] cute [PERIOD]
careless [AND] supportive [AND] polite [IMPLY] horrible [PERIOD]
tender [AND] hurt [IMPLY] victorious [PERIOD]
comfortable [AND] mean [IMPLY] famous [PERIOD]
helpless [IMPLY] supportive [PERIOD]
helpless [AND] straightforward [AND] rude [IMPLY] careless [PERIOD]
powerful [AND] pleasant [AND] careless [IMPLY] worrisome [PERIOD]
straightforward [AND] cute [AND] horrible [IMPLY] careless [PERIOD]
horrible [IMPLY] serious [PERIOD]
straightforward [IMPLY] jittery [PERIOD]
comfortable [AND] powerful [IMPLY] horrible [PERIOD]
scared [AND] hurt [AND] worrisome [IMPLY] quaint [PERIOD]
serious [AND] impatient [IMPLY] powerful [PERIOD]
hurt [AND] impatient [AND] jittery [IMPLY] bossy [PERIOD]
bossy [IMPLY] blushing [PERIOD]
hypocritical [AND] bossy [AND] comfortable [IMPLY] horrible [PERIOD]
clean [IMPLY] famous [PERIOD]
blushing [IMPLY] talkative [PERIOD]
horrible [AND] powerful [IMPLY] famous [PERIOD]
quaint [AND] hurt [AND] helpless [IMPLY] beautiful [PERIOD]
cute [IMPLY] horrible [PERIOD]
nervous [AND] powerful [IMPLY] victorious [PERIOD]
pleasant [IMPLY] bossy [PERIOD]
straightforward [AND] frightened [IMPLY] tender [PERIOD]
hypocritical [AND] impatient [AND] polite [IMPLY] tender [PERIOD]
victorious [IMPLY] serious [PERIOD]
clean [AND] bossy [IMPLY] quaint [PERIOD]
helpless [AND] horrible [AND] hypocritical [IMPLY] powerful [PERIOD]
pleasant [IMPLY] quaint [PERIOD]
horrible [AND] careless [AND] quaint [IMPLY] pleasant [PERIOD]
blushing [AND] nervous [AND] quaint [IMPLY] polite [PERIOD]
straightforward [AND] famous [IMPLY] bossy [PERIOD]
careless [IMPLY] nervous [PERIOD]
straightforward [AND] comfortable [AND] mean [IMPLY] nervous [PERIOD]
hurt [IMPLY] straightforward [PERIOD]
straightforward [AND] impatient [AND] bossy [IMPLY] nervous [PERIOD]
talkative [AND] horrible [AND] famous [IMPLY] blushing [PERIOD]
famous [IMPLY] mean [PERIOD]
hypocritical [IMPLY] victorious [PERIOD]
worrisome [AND] frightened [AND] nervous [IMPLY] jittery [PERIOD]
nervous [AND] frightened [AND] victorious [IMPLY] powerful [PERIOD]
quaint [AND] helpless [AND] frightened [IMPLY] jittery [PERIOD]
hypocritical [AND] careless [IMPLY] rude [PERIOD]
powerful [AND] talkative [AND] tender [IMPLY] serious [PERIOD]
powerful [AND] famous [IMPLY] rude [PERIOD]
cute [AND] jittery [IMPLY] clean [PERIOD]
blushing [AND] polite [IMPLY] talkative [PERIOD]
hurt [AND] talkative [AND] clean [IMPLY] helpless [PERIOD]
hypocritical [AND] comfortable [IMPLY] supportive [PERIOD]
victorious [AND] worrisome [AND] scared [IMPLY] serious [PERIOD]
talkative [IMPLY] scared [PERIOD]
careless [AND] hurt [IMPLY] bossy [PERIOD]
tender [AND] frightened [AND] blushing [IMPLY] powerful [PERIOD]
quaint [AND] serious [AND] helpless [IMPLY] worrisome [PERIOD]
hurt [AND] cute [AND] quaint [IMPLY] jittery [PERIOD]
hurt [AND] hypocritical [AND] victorious [IMPLY] helpless [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   nervous ⇒ helpless
   victorious ⇒ serious
   serious ⇒ comfortable
   victorious ⇒ serious
   comfortable ∧ serious ∧ quaint ⇒ hurt
   hurt ⇒ straightforward
   helpless ∧ straightforward ∧ rude ⇒ careless
",1,7
"Facts:  Alice is bossy [PERIOD]
Rules:
foolish [AND] diplomatic [AND] weary [IMPLY] mean [PERIOD]
sleepy [IMPLY] hilarious [PERIOD]
sleepy [AND] mean [IMPLY] diplomatic [PERIOD]
diplomatic [IMPLY] homely [PERIOD]
hilarious [AND] foolish [IMPLY] diplomatic [PERIOD]
mean [IMPLY] homely [PERIOD]
diplomatic [AND] homely [AND] hilarious [IMPLY] weary [PERIOD]
sleepy [AND] homely [AND] diplomatic [IMPLY] mean [PERIOD]
foolish [IMPLY] weary [PERIOD]
mean [AND] foolish [IMPLY] weary [PERIOD]
sleepy [AND] plain [IMPLY] mean [PERIOD]
diplomatic [AND] foolish [AND] bossy [IMPLY] weary [PERIOD]
foolish [AND] diplomatic [AND] sleepy [IMPLY] weary [PERIOD]
homely [AND] sleepy [AND] bossy [IMPLY] diplomatic [PERIOD]
diplomatic [AND] weary [IMPLY] sleepy [PERIOD]
foolish [AND] diplomatic [AND] homely [IMPLY] bossy [PERIOD]
hilarious [AND] sleepy [IMPLY] foolish [PERIOD]
bossy [IMPLY] diplomatic [PERIOD]
bossy [AND] sleepy [IMPLY] homely [PERIOD]
mean [AND] foolish [AND] diplomatic [IMPLY] hilarious [PERIOD]
plain [AND] diplomatic [AND] mean [IMPLY] homely [PERIOD]
mean [AND] hilarious [IMPLY] sleepy [PERIOD]
weary [IMPLY] hilarious [PERIOD]
diplomatic [IMPLY] plain [PERIOD]
homely [IMPLY] mean [PERIOD]
weary [IMPLY] diplomatic [PERIOD]
bossy [AND] weary [AND] diplomatic [IMPLY] foolish [PERIOD]
bossy [AND] mean [AND] foolish [IMPLY] weary [PERIOD]
diplomatic [AND] foolish [AND] hilarious [IMPLY] bossy [PERIOD]
homely [IMPLY] weary [PERIOD]
plain [AND] foolish [AND] homely [IMPLY] hilarious [PERIOD]
homely [AND] diplomatic [AND] mean [IMPLY] bossy [PERIOD]
plain [IMPLY] weary [PERIOD]
mean [AND] plain [IMPLY] foolish [PERIOD]
plain [IMPLY] foolish [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   bossy ⇒ diplomatic
   bossy ⇒ diplomatic
   diplomatic ⇒ homely
   homely ⇒ weary
   diplomatic ∧ weary ⇒ sleepy
",1,5
"Facts:  Alice is beautiful [PERIOD] Alice is light [PERIOD] Alice is stubborn [PERIOD] Alice is cruel [PERIOD] Alice is shy [PERIOD] Alice is frightened [PERIOD] Alice is impatient [PERIOD] Alice is tame [PERIOD]
Rules:
clumsy [AND] disobedient [IMPLY] stupid [PERIOD]
beautiful [IMPLY] mysterious [PERIOD]
sincere [AND] blushing [AND] stupid [IMPLY] mysterious [PERIOD]
witty [AND] bad-tempered [IMPLY] tame [PERIOD]
witty [AND] perfect [AND] cruel [IMPLY] light [PERIOD]
powerful [IMPLY] shy [PERIOD]
shy [IMPLY] disobedient [PERIOD]
bad-tempered [IMPLY] inexpensive [PERIOD]
homely [IMPLY] outstanding [PERIOD]
powerful [IMPLY] disobedient [PERIOD]
bad-tempered [AND] beautiful [AND] mysterious [IMPLY] thoughtful [PERIOD]
curious [IMPLY] thoughtful [PERIOD]
frightened [AND] shy [AND] witty [IMPLY] bad-tempered [PERIOD]
outstanding [IMPLY] stupid [PERIOD]
witty [IMPLY] light [PERIOD]
beautiful [AND] frightened [IMPLY] outstanding [PERIOD]
confused [IMPLY] inexpensive [PERIOD]
blushing [AND] scared [AND] frantic [IMPLY] mean [PERIOD]
dull [AND] outstanding [IMPLY] frightened [PERIOD]
beautiful [IMPLY] stupid [PERIOD]
disobedient [IMPLY] witty [PERIOD]
curious [AND] mean [IMPLY] scared [PERIOD]
mean [AND] impatient [IMPLY] inexpensive [PERIOD]
sincere [IMPLY] cruel [PERIOD]
mean [AND] cruel [AND] outstanding [IMPLY] scared [PERIOD]
stubborn [AND] blushing [IMPLY] sincere [PERIOD]
thoughtful [AND] frightened [IMPLY] homely [PERIOD]
impatient [AND] frantic [IMPLY] straightforward [PERIOD]
inexpensive [IMPLY] sincere [PERIOD]
frantic [AND] stupid [AND] powerful [IMPLY] cruel [PERIOD]
homely [AND] dull [IMPLY] straightforward [PERIOD]
witty [AND] mysterious [AND] impatient [IMPLY] cruel [PERIOD]
blushing [IMPLY] frantic [PERIOD]
powerful [IMPLY] inexpensive [PERIOD]
disobedient [IMPLY] perfect [PERIOD]
straightforward [IMPLY] sincere [PERIOD]
scared [AND] shy [IMPLY] inexpensive [PERIOD]
sincere [AND] perfect [IMPLY] beautiful [PERIOD]
frightened [AND] tame [IMPLY] outstanding [PERIOD]
frantic [IMPLY] witty [PERIOD]
scared [AND] mysterious [IMPLY] blushing [PERIOD]
bad-tempered [IMPLY] outstanding [PERIOD]
blushing [AND] scared [IMPLY] cruel [PERIOD]
sincere [AND] shy [AND] witty [IMPLY] clumsy [PERIOD]
sincere [AND] mysterious [AND] blushing [IMPLY] confused [PERIOD]
cruel [AND] light [AND] confused [IMPLY] shy [PERIOD]
outstanding [AND] powerful [AND] light [IMPLY] curious [PERIOD]
impatient [IMPLY] shy [PERIOD]
dull [AND] sincere [AND] mysterious [IMPLY] blushing [PERIOD]
sincere [AND] frantic [IMPLY] powerful [PERIOD]
clumsy [AND] mean [IMPLY] bad-tempered [PERIOD]
disobedient [AND] stupid [IMPLY] thoughtful [PERIOD]
outstanding [IMPLY] beautiful [PERIOD]
scared [IMPLY] mean [PERIOD]
frightened [AND] confused [AND] impatient [IMPLY] cruel [PERIOD]
inexpensive [IMPLY] perfect [PERIOD]
confused [IMPLY] mean [PERIOD]
dull [IMPLY] outstanding [PERIOD]
beautiful [AND] mysterious [AND] confused [IMPLY] homely [PERIOD]
disobedient [AND] witty [IMPLY] straightforward [PERIOD]
beautiful [AND] outstanding [IMPLY] powerful [PERIOD]
inexpensive [AND] cruel [IMPLY] impatient [PERIOD]
thoughtful [AND] beautiful [AND] mysterious [IMPLY] bad-tempered [PERIOD]
beautiful [IMPLY] stubborn [PERIOD]
scared [AND] shy [IMPLY] blushing [PERIOD]
stupid [IMPLY] mysterious [PERIOD]
light [AND] inexpensive [IMPLY] confused [PERIOD]
witty [AND] frightened [AND] tame [IMPLY] powerful [PERIOD]
scared [AND] disobedient [IMPLY] bad-tempered [PERIOD]
sincere [IMPLY] impatient [PERIOD]
straightforward [AND] cruel [IMPLY] thoughtful [PERIOD]
frightened [AND] mean [AND] shy [IMPLY] homely [PERIOD]
shy [AND] mean [AND] homely [IMPLY] sincere [PERIOD]
confused [IMPLY] sincere [PERIOD]
homely [AND] curious [AND] straightforward [IMPLY] sincere [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   shy ⇒ disobedient
   beautiful ⇒ stupid
   disobedient ∧ stupid ⇒ thoughtful
   thoughtful ∧ frightened ⇒ homely
",1,4
"Facts: 
Rules:
beautiful [IMPLY] mean [PERIOD]
beautiful [IMPLY] talented [PERIOD]
talented [AND] different [AND] beautiful [IMPLY] rude [PERIOD]
talented [IMPLY] different [PERIOD]
rude [AND] beautiful [AND] talented [IMPLY] mean [PERIOD]
talented [AND] different [AND] rude [IMPLY] mean [PERIOD]
rude [AND] mean [IMPLY] different [PERIOD]
beautiful [AND] different [IMPLY] mean [PERIOD]
different [AND] talented [IMPLY] mean [PERIOD]
rude [AND] different [IMPLY] beautiful [PERIOD]
different [IMPLY] beautiful [PERIOD]
mean [IMPLY] talented [PERIOD]
talented [AND] different [AND] rude [IMPLY] beautiful [PERIOD]
mean [IMPLY] beautiful [PERIOD]
mean [AND] talented [IMPLY] beautiful [PERIOD]
rude [IMPLY] talented [PERIOD]
rude [AND] different [IMPLY] talented [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
   Cannot apply rule “beautiful ⇒ talented” because missing: beautiful.
   Cannot apply rule “mean ⇒ talented” because missing: mean.
   Cannot apply rule “rude ⇒ talented” because missing: rude.
   Cannot apply rule “rude ∧ different ⇒ talented” because missing: rude, different.
",0,4
"Facts:  Alice is courageous [PERIOD] Alice is shiny [PERIOD] Alice is disgusted [PERIOD] Alice is joyous [PERIOD] Alice is broad-minded [PERIOD] Alice is pleasant [PERIOD] Alice is confident [PERIOD] Alice is jittery [PERIOD] Alice is mysterious [PERIOD] Alice is straightforward [PERIOD]
Rules:
mysterious [IMPLY] comfortable [PERIOD]
pleasant [AND] jittery [AND] thoughtless [IMPLY] stupid [PERIOD]
broad-minded [AND] stubborn [IMPLY] alert [PERIOD]
mysterious [AND] broad-minded [AND] smart [IMPLY] stormy [PERIOD]
excited [AND] confident [AND] jittery [IMPLY] courageous [PERIOD]
easy [AND] stupid [IMPLY] straightforward [PERIOD]
comfortable [AND] pleasant [IMPLY] bossy [PERIOD]
calm [AND] pleasant [IMPLY] stormy [PERIOD]
shiny [AND] proud [AND] smart [IMPLY] comfortable [PERIOD]
supportive [AND] jittery [AND] bossy [IMPLY] stupid [PERIOD]
joyous [IMPLY] thoughtless [PERIOD]
calm [AND] straightforward [IMPLY] mysterious [PERIOD]
supportive [AND] smart [IMPLY] mysterious [PERIOD]
stormy [IMPLY] supportive [PERIOD]
bossy [IMPLY] stormy [PERIOD]
pleasant [AND] stubborn [IMPLY] jittery [PERIOD]
stupid [AND] stormy [AND] pleasant [IMPLY] jittery [PERIOD]
excited [IMPLY] bossy [PERIOD]
comfortable [IMPLY] disgusted [PERIOD]
calm [IMPLY] easy [PERIOD]
confident [IMPLY] bossy [PERIOD]
comfortable [AND] stubborn [AND] mysterious [IMPLY] jittery [PERIOD]
easy [AND] shiny [IMPLY] supportive [PERIOD]
stormy [AND] shiny [IMPLY] excited [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is pessimistic [PERIOD] Alice is innocent [PERIOD] Alice is careless [PERIOD] Alice is frantic [PERIOD] Alice is smart [PERIOD] Alice is dishonest [PERIOD] Alice is impatient [PERIOD]
Rules:
lucky [AND] different [IMPLY] smart [PERIOD]
gifted [AND] calm [AND] inquisitive [IMPLY] attentive [PERIOD]
dishonest [AND] gifted [IMPLY] exuberant [PERIOD]
old-fashioned [IMPLY] dishonest [PERIOD]
stupid [AND] victorious [IMPLY] talkative [PERIOD]
rude [AND] talkative [IMPLY] busy [PERIOD]
careless [IMPLY] stubborn [PERIOD]
busy [IMPLY] fearless [PERIOD]
spotless [IMPLY] careless [PERIOD]
gifted [AND] attentive [IMPLY] stubborn [PERIOD]
rude [AND] fearless [IMPLY] old-fashioned [PERIOD]
popular [IMPLY] attentive [PERIOD]
talkative [AND] innocent [IMPLY] different [PERIOD]
victorious [AND] talkative [IMPLY] stubborn [PERIOD]
frantic [AND] gifted [AND] exuberant [IMPLY] stubborn [PERIOD]
bored [AND] pessimistic [AND] lucky [IMPLY] frantic [PERIOD]
lucky [AND] frantic [IMPLY] ugly [PERIOD]
lucky [AND] impatient [IMPLY] rude [PERIOD]
busy [AND] rude [IMPLY] impatient [PERIOD]
old-fashioned [AND] spotless [AND] exuberant [IMPLY] popular [PERIOD]
fearless [AND] dishonest [AND] different [IMPLY] spotless [PERIOD]
fearless [AND] rude [AND] dishonest [IMPLY] stubborn [PERIOD]
dishonest [AND] lucky [IMPLY] victorious [PERIOD]
serious [AND] victorious [IMPLY] rude [PERIOD]
rude [AND] inquisitive [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] talkative [AND] smart [IMPLY] lucky [PERIOD]
inquisitive [AND] talkative [IMPLY] spotless [PERIOD]
lucky [AND] stupid [IMPLY] busy [PERIOD]
dishonest [AND] impatient [IMPLY] smart [PERIOD]
serious [IMPLY] talkative [PERIOD]
attentive [AND] victorious [AND] ugly [IMPLY] talkative [PERIOD]
frantic [AND] fearless [IMPLY] attentive [PERIOD]
busy [AND] frantic [IMPLY] exuberant [PERIOD]
different [AND] victorious [IMPLY] popular [PERIOD]
wandering [AND] calm [AND] innocent [IMPLY] attentive [PERIOD]
lucky [IMPLY] careless [PERIOD]
old-fashioned [AND] calm [IMPLY] inquisitive [PERIOD]
attentive [IMPLY] gifted [PERIOD]
busy [AND] rude [IMPLY] popular [PERIOD]
victorious [AND] pessimistic [IMPLY] frantic [PERIOD]
talkative [IMPLY] exuberant [PERIOD]
stubborn [AND] dishonest [AND] innocent [IMPLY] distinct [PERIOD]
careless [IMPLY] bored [PERIOD]
wandering [AND] careless [IMPLY] victorious [PERIOD]
dishonest [AND] stupid [AND] pessimistic [IMPLY] serious [PERIOD]
victorious [AND] gifted [AND] fearless [IMPLY] busy [PERIOD]
calm [AND] victorious [AND] busy [IMPLY] exuberant [PERIOD]
attentive [AND] smart [AND] rude [IMPLY] stubborn [PERIOD]
calm [IMPLY] attentive [PERIOD]
attentive [AND] gifted [IMPLY] wandering [PERIOD]
careless [AND] fearless [IMPLY] gifted [PERIOD]
rude [AND] stubborn [IMPLY] innocent [PERIOD]
calm [IMPLY] talkative [PERIOD]
frantic [IMPLY] old-fashioned [PERIOD]
gifted [AND] distinct [AND] victorious [IMPLY] old-fashioned [PERIOD]
victorious [IMPLY] exuberant [PERIOD]
busy [AND] old-fashioned [AND] lucky [IMPLY] serious [PERIOD]
talkative [AND] ugly [IMPLY] wandering [PERIOD]
popular [IMPLY] fearless [PERIOD]
popular [AND] dishonest [AND] pessimistic [IMPLY] ugly [PERIOD]
distinct [AND] fearless [AND] stupid [IMPLY] calm [PERIOD]
stubborn [AND] fearless [IMPLY] lucky [PERIOD]
busy [IMPLY] impatient [PERIOD]
pessimistic [AND] fearless [AND] exuberant [IMPLY] popular [PERIOD]
victorious [AND] stubborn [AND] bored [IMPLY] spotless [PERIOD]
gifted [IMPLY] talkative [PERIOD]
lucky [AND] exuberant [AND] smart [IMPLY] stubborn [PERIOD]
calm [AND] distinct [IMPLY] old-fashioned [PERIOD]
innocent [AND] wandering [IMPLY] rude [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   frantic ⇒ old-fashioned
   Cannot apply rule “old-fashioned ∧ talkative ∧ smart ⇒ lucky” because missing: talkative.
   careless ⇒ stubborn
   Cannot apply rule “stubborn ∧ fearless ⇒ lucky” because missing: fearless.
",0,4
"Facts: 
Rules:
disobedient [IMPLY] fancy [PERIOD]
zealous [AND] different [IMPLY] fearless [PERIOD]
worried [AND] disobedient [IMPLY] charming [PERIOD]
light [AND] friendly [AND] zealous [IMPLY] beautiful [PERIOD]
light [AND] fearless [AND] charming [IMPLY] beautiful [PERIOD]
fearless [IMPLY] charming [PERIOD]
inexpensive [AND] shiny [AND] straightforward [IMPLY] victorious [PERIOD]
cooperative [IMPLY] clumsy [PERIOD]
shiny [AND] clumsy [AND] disobedient [IMPLY] worried [PERIOD]
light [AND] clumsy [IMPLY] straightforward [PERIOD]
charming [IMPLY] popular [PERIOD]
shiny [IMPLY] rational [PERIOD]
charming [IMPLY] fearless [PERIOD]
charming [AND] rational [IMPLY] inexpensive [PERIOD]
inexpensive [IMPLY] cooperative [PERIOD]
stubborn [AND] clumsy [AND] disobedient [IMPLY] straightforward [PERIOD]
light [IMPLY] scared [PERIOD]
friendly [AND] scared [IMPLY] worried [PERIOD]
zealous [IMPLY] scared [PERIOD]
light [AND] scared [IMPLY] zealous [PERIOD]
rational [AND] victorious [IMPLY] zealous [PERIOD]
victorious [IMPLY] straightforward [PERIOD]
different [AND] light [IMPLY] popular [PERIOD]
beautiful [IMPLY] fearless [PERIOD]
cooperative [AND] popular [IMPLY] inexpensive [PERIOD]
friendly [AND] charming [IMPLY] inexpensive [PERIOD]
friendly [IMPLY] shiny [PERIOD]
straightforward [AND] clumsy [IMPLY] different [PERIOD]
inexpensive [IMPLY] beautiful [PERIOD]
popular [AND] friendly [AND] victorious [IMPLY] charming [PERIOD]
popular [AND] clumsy [AND] rational [IMPLY] disobedient [PERIOD]
shiny [AND] inexpensive [IMPLY] zealous [PERIOD]
scared [AND] rational [AND] fearless [IMPLY] different [PERIOD]
shiny [AND] victorious [IMPLY] cooperative [PERIOD]
friendly [IMPLY] zealous [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   Cannot apply rule “charming ∧ rational ⇒ inexpensive” because missing: charming, rational.
   Cannot apply rule “cooperative ∧ popular ⇒ inexpensive” because missing: cooperative, popular.
   Cannot apply rule “friendly ∧ charming ⇒ inexpensive” because missing: friendly, charming.
",0,3
"Facts:  Alice is inquisitive [PERIOD]
Rules:
famous [AND] easy [IMPLY] sleepy [PERIOD]
easy [IMPLY] elated [PERIOD]
bossy [AND] easy [AND] rude [IMPLY] modern [PERIOD]
bossy [AND] amused [IMPLY] sleepy [PERIOD]
rude [AND] easy [AND] famous [IMPLY] bossy [PERIOD]
amused [AND] easy [IMPLY] inquisitive [PERIOD]
inquisitive [AND] sleepy [AND] elated [IMPLY] amused [PERIOD]
glamorous [AND] modern [AND] inquisitive [IMPLY] amused [PERIOD]
bossy [AND] sleepy [IMPLY] stubborn [PERIOD]
glamorous [IMPLY] easy [PERIOD]
stubborn [IMPLY] famous [PERIOD]
modern [AND] elated [IMPLY] stubborn [PERIOD]
stubborn [AND] bossy [AND] easy [IMPLY] rude [PERIOD]
glamorous [AND] easy [IMPLY] sleepy [PERIOD]
glamorous [AND] rude [IMPLY] famous [PERIOD]
easy [AND] famous [AND] inquisitive [IMPLY] sleepy [PERIOD]
inquisitive [AND] modern [AND] elated [IMPLY] sleepy [PERIOD]
rude [IMPLY] famous [PERIOD]
bossy [AND] glamorous [IMPLY] amused [PERIOD]
bossy [AND] elated [AND] amused [IMPLY] famous [PERIOD]
bossy [IMPLY] sleepy [PERIOD]
stubborn [AND] elated [IMPLY] amused [PERIOD]
easy [AND] elated [AND] famous [IMPLY] stubborn [PERIOD]
glamorous [IMPLY] elated [PERIOD]
bossy [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] inquisitive [PERIOD]
easy [IMPLY] amused [PERIOD]
glamorous [AND] elated [AND] stubborn [IMPLY] modern [PERIOD]
sleepy [AND] elated [IMPLY] easy [PERIOD]
glamorous [AND] sleepy [IMPLY] modern [PERIOD]
sleepy [IMPLY] rude [PERIOD]
modern [AND] sleepy [AND] elated [IMPLY] amused [PERIOD]
elated [AND] bossy [IMPLY] rude [PERIOD]
rude [AND] famous [AND] sleepy [IMPLY] stubborn [PERIOD]
easy [AND] elated [IMPLY] sleepy [PERIOD]
stubborn [AND] inquisitive [IMPLY] elated [PERIOD]
famous [IMPLY] sleepy [PERIOD]
modern [AND] easy [AND] famous [IMPLY] inquisitive [PERIOD]
amused [AND] easy [AND] stubborn [IMPLY] inquisitive [PERIOD]
glamorous [AND] inquisitive [AND] rude [IMPLY] bossy [PERIOD]
stubborn [AND] sleepy [AND] rude [IMPLY] inquisitive [PERIOD]
amused [AND] inquisitive [IMPLY] stubborn [PERIOD]
elated [AND] inquisitive [AND] rude [IMPLY] easy [PERIOD]
stubborn [IMPLY] elated [PERIOD]
Query: Alice is modern [PERIOD]","Proof chain:
   Cannot apply rule “bossy ∧ easy ∧ rude ⇒ modern” because missing: bossy, easy, rude.
   Cannot apply rule “glamorous ∧ elated ∧ stubborn ⇒ modern” because missing: glamorous, elated, stubborn.
   Cannot apply rule “glamorous ∧ sleepy ⇒ modern” because missing: glamorous, sleepy.
",0,3
"Facts:  Alice is rude [PERIOD] Alice is condemned [PERIOD] Alice is different [PERIOD] Alice is enchanting [PERIOD] Alice is glamorous [PERIOD] Alice is bossy [PERIOD] Alice is foolish [PERIOD]
Rules:
rude [AND] condemned [AND] bossy [IMPLY] horrible [PERIOD]
horrible [AND] fearless [AND] reserved [IMPLY] dull [PERIOD]
rude [IMPLY] foolish [PERIOD]
rude [AND] horrible [IMPLY] outstanding [PERIOD]
fearless [AND] reserved [IMPLY] bossy [PERIOD]
foolish [AND] dull [AND] horrible [IMPLY] fearless [PERIOD]
different [AND] condemned [AND] outstanding [IMPLY] fearless [PERIOD]
horrible [AND] outstanding [AND] dull [IMPLY] foolish [PERIOD]
different [IMPLY] dull [PERIOD]
different [AND] enchanting [IMPLY] condemned [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   different ⇒ dull
   rude ∧ condemned ∧ bossy ⇒ horrible
   foolish ∧ dull ∧ horrible ⇒ fearless
",1,3
"Facts: 
Rules:
easy [AND] charming [IMPLY] homely [PERIOD]
smart [AND] condemned [IMPLY] easy [PERIOD]
troubled [IMPLY] smart [PERIOD]
charming [AND] weary [AND] troubled [IMPLY] condemned [PERIOD]
anxious [AND] troubled [AND] smart [IMPLY] easy [PERIOD]
weary [IMPLY] anxious [PERIOD]
easy [AND] anxious [AND] condemned [IMPLY] charming [PERIOD]
homely [AND] troubled [AND] anxious [IMPLY] weary [PERIOD]
troubled [AND] smart [IMPLY] easy [PERIOD]
charming [AND] condemned [AND] anxious [IMPLY] troubled [PERIOD]
anxious [IMPLY] easy [PERIOD]
homely [IMPLY] weary [PERIOD]
anxious [AND] smart [AND] homely [IMPLY] weary [PERIOD]
smart [AND] weary [AND] anxious [IMPLY] homely [PERIOD]
smart [AND] troubled [IMPLY] condemned [PERIOD]
troubled [IMPLY] easy [PERIOD]
weary [AND] easy [IMPLY] condemned [PERIOD]
anxious [AND] troubled [IMPLY] easy [PERIOD]
easy [AND] condemned [IMPLY] homely [PERIOD]
condemned [IMPLY] troubled [PERIOD]
easy [AND] smart [IMPLY] weary [PERIOD]
condemned [AND] weary [IMPLY] charming [PERIOD]
condemned [AND] anxious [AND] charming [IMPLY] smart [PERIOD]
weary [IMPLY] condemned [PERIOD]
easy [AND] weary [AND] troubled [IMPLY] anxious [PERIOD]
condemned [AND] smart [AND] easy [IMPLY] charming [PERIOD]
anxious [IMPLY] condemned [PERIOD]
weary [IMPLY] smart [PERIOD]
condemned [AND] smart [IMPLY] weary [PERIOD]
homely [AND] charming [AND] weary [IMPLY] condemned [PERIOD]
anxious [IMPLY] smart [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
   Cannot apply rule “smart ∧ condemned ⇒ easy” because missing: smart, condemned.
   Cannot apply rule “anxious ∧ troubled ∧ smart ⇒ easy” because missing: anxious, troubled, smart.
   Cannot apply rule “troubled ∧ smart ⇒ easy” because missing: troubled, smart.
   Cannot apply rule “anxious ⇒ easy” because missing: anxious.
   Cannot apply rule “troubled ⇒ easy” because missing: troubled.
   Cannot apply rule “anxious ∧ troubled ⇒ easy” because missing: anxious, troubled.
",0,6
"Facts:  Alice is modern [PERIOD] Alice is perfect [PERIOD] Alice is supportive [PERIOD] Alice is disobedient [PERIOD] Alice is crowded [PERIOD] Alice is frightened [PERIOD] Alice is amused [PERIOD] Alice is unpleasant [PERIOD] Alice is courageous [PERIOD] Alice is embarrassed [PERIOD] Alice is straightforward [PERIOD]
Rules:
amused [IMPLY] straightforward [PERIOD]
gleaming [IMPLY] embarrassed [PERIOD]
thoughtless [AND] unpleasant [IMPLY] enchanting [PERIOD]
frightened [IMPLY] naughty [PERIOD]
disobedient [AND] embarrassed [IMPLY] gleaming [PERIOD]
supportive [AND] jittery [AND] naughty [IMPLY] enchanting [PERIOD]
clumsy [AND] unpleasant [AND] naughty [IMPLY] supportive [PERIOD]
perfect [AND] naughty [AND] clumsy [IMPLY] muddy [PERIOD]
jittery [AND] thoughtless [AND] gleaming [IMPLY] clumsy [PERIOD]
disobedient [AND] perfect [IMPLY] clumsy [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
hypocritical [IMPLY] crowded [PERIOD]
disobedient [IMPLY] shiny [PERIOD]
wandering [AND] attentive [AND] condemned [IMPLY] wide-eyed [PERIOD]
wandering [IMPLY] cruel [PERIOD]
stubborn [AND] attentive [IMPLY] comfortable [PERIOD]
crowded [AND] cute [AND] foolish [IMPLY] hypocritical [PERIOD]
rational [AND] stubborn [IMPLY] supportive [PERIOD]
stupid [AND] bossy [IMPLY] pleasant [PERIOD]
rational [AND] attentive [AND] disobedient [IMPLY] crowded [PERIOD]
supportive [AND] wide-eyed [AND] hypocritical [IMPLY] comfortable [PERIOD]
cute [AND] reserved [IMPLY] cruel [PERIOD]
stupid [AND] bossy [IMPLY] charming [PERIOD]
bossy [AND] condemned [AND] rational [IMPLY] supportive [PERIOD]
sincere [AND] hypocritical [AND] lucky [IMPLY] fine [PERIOD]
wandering [IMPLY] foolish [PERIOD]
comfortable [AND] stupid [IMPLY] ugly [PERIOD]
bossy [AND] comfortable [AND] cruel [IMPLY] crowded [PERIOD]
sincere [IMPLY] shiny [PERIOD]
fine [IMPLY] ambitious [PERIOD]
ugly [IMPLY] shiny [PERIOD]
crowded [IMPLY] wide-eyed [PERIOD]
disobedient [IMPLY] hypocritical [PERIOD]
reserved [AND] attentive [IMPLY] bossy [PERIOD]
rational [IMPLY] comfortable [PERIOD]
rational [AND] hypocritical [IMPLY] comfortable [PERIOD]
condemned [IMPLY] wide-eyed [PERIOD]
shiny [IMPLY] crowded [PERIOD]
stubborn [AND] rational [AND] sincere [IMPLY] ugly [PERIOD]
wide-eyed [AND] rational [IMPLY] supportive [PERIOD]
ambitious [AND] reserved [IMPLY] cute [PERIOD]
wide-eyed [AND] supportive [AND] disobedient [IMPLY] cute [PERIOD]
attentive [IMPLY] wandering [PERIOD]
pleasant [AND] crowded [IMPLY] comfortable [PERIOD]
sleepy [AND] stupid [IMPLY] crowded [PERIOD]
fine [IMPLY] shiny [PERIOD]
sincere [IMPLY] sleepy [PERIOD]
lucky [AND] sleepy [IMPLY] hypocritical [PERIOD]
condemned [AND] disobedient [AND] sincere [IMPLY] shiny [PERIOD]
wide-eyed [IMPLY] reserved [PERIOD]
ugly [AND] stubborn [AND] lucky [IMPLY] bossy [PERIOD]
crowded [AND] wandering [AND] hypocritical [IMPLY] disobedient [PERIOD]
attentive [AND] sincere [IMPLY] shiny [PERIOD]
lucky [AND] fine [AND] charming [IMPLY] crowded [PERIOD]
lucky [AND] fine [IMPLY] shiny [PERIOD]
stupid [AND] foolish [IMPLY] ambitious [PERIOD]
shiny [AND] crowded [AND] cruel [IMPLY] comfortable [PERIOD]
hypocritical [AND] pleasant [AND] cute [IMPLY] sincere [PERIOD]
foolish [AND] sincere [AND] fine [IMPLY] cute [PERIOD]
hypocritical [AND] charming [AND] tender [IMPLY] reserved [PERIOD]
wandering [AND] ugly [IMPLY] fine [PERIOD]
ugly [AND] attentive [AND] disobedient [IMPLY] foolish [PERIOD]
bossy [AND] shiny [IMPLY] rational [PERIOD]
hypocritical [IMPLY] wandering [PERIOD]
hypocritical [IMPLY] tender [PERIOD]
stupid [IMPLY] crowded [PERIOD]
cute [AND] reserved [IMPLY] wandering [PERIOD]
reserved [IMPLY] disobedient [PERIOD]
wandering [AND] disobedient [AND] stubborn [IMPLY] reserved [PERIOD]
rational [AND] pleasant [AND] reserved [IMPLY] attentive [PERIOD]
disobedient [AND] wandering [IMPLY] shiny [PERIOD]
lucky [AND] foolish [IMPLY] cruel [PERIOD]
fine [IMPLY] cute [PERIOD]
disobedient [AND] pleasant [IMPLY] hypocritical [PERIOD]
disobedient [AND] foolish [AND] ugly [IMPLY] fine [PERIOD]
ambitious [AND] condemned [AND] rational [IMPLY] hypocritical [PERIOD]
attentive [IMPLY] tender [PERIOD]
ambitious [AND] hypocritical [AND] comfortable [IMPLY] stupid [PERIOD]
sincere [AND] stubborn [AND] crowded [IMPLY] charming [PERIOD]
wide-eyed [AND] wandering [IMPLY] supportive [PERIOD]
tender [IMPLY] wandering [PERIOD]
wandering [IMPLY] stubborn [PERIOD]
ambitious [AND] wide-eyed [IMPLY] crowded [PERIOD]
condemned [IMPLY] cruel [PERIOD]
bossy [AND] cruel [IMPLY] stubborn [PERIOD]
hypocritical [IMPLY] wide-eyed [PERIOD]
disobedient [AND] sincere [IMPLY] rational [PERIOD]
condemned [AND] pleasant [IMPLY] cruel [PERIOD]
comfortable [AND] supportive [AND] cruel [IMPLY] fine [PERIOD]
ugly [AND] rational [AND] shiny [IMPLY] reserved [PERIOD]
sincere [AND] attentive [AND] comfortable [IMPLY] charming [PERIOD]
lucky [IMPLY] sleepy [PERIOD]
ambitious [AND] stupid [AND] wandering [IMPLY] fine [PERIOD]
crowded [IMPLY] attentive [PERIOD]
lucky [AND] disobedient [AND] sleepy [IMPLY] hypocritical [PERIOD]
rational [AND] stubborn [IMPLY] lucky [PERIOD]
cruel [AND] reserved [IMPLY] sleepy [PERIOD]
disobedient [AND] ambitious [AND] lucky [IMPLY] hypocritical [PERIOD]
cute [IMPLY] stubborn [PERIOD]
cruel [AND] stupid [AND] attentive [IMPLY] reserved [PERIOD]
charming [IMPLY] comfortable [PERIOD]
charming [IMPLY] disobedient [PERIOD]
comfortable [AND] disobedient [IMPLY] wide-eyed [PERIOD]
cruel [AND] tender [AND] fine [IMPLY] sleepy [PERIOD]
charming [AND] attentive [AND] supportive [IMPLY] stubborn [PERIOD]
stupid [AND] hypocritical [IMPLY] wide-eyed [PERIOD]
fine [AND] stupid [IMPLY] shiny [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   Cannot apply rule “wandering ⇒ stubborn” because missing: wandering.
   Cannot apply rule “bossy ∧ cruel ⇒ stubborn” because missing: bossy, cruel.
   Cannot apply rule “cute ⇒ stubborn” because missing: cute.
   Cannot apply rule “charming ∧ attentive ∧ supportive ⇒ stubborn” because missing: charming, attentive, supportive.
",0,4
"Facts:  Alice is light [PERIOD] Alice is bossy [PERIOD] Alice is fancy [PERIOD] Alice is worried [PERIOD] Alice is excited [PERIOD] Alice is popular [PERIOD] Alice is different [PERIOD] Alice is pessimistic [PERIOD] Alice is shy [PERIOD] Alice is proud [PERIOD] Alice is dishonest [PERIOD] Alice is witty [PERIOD]
Rules:
clumsy [AND] bossy [IMPLY] shy [PERIOD]
lonely [AND] shy [IMPLY] strange [PERIOD]
popular [AND] proud [IMPLY] bossy [PERIOD]
clumsy [IMPLY] pessimistic [PERIOD]
shy [AND] strange [AND] pessimistic [IMPLY] blushing [PERIOD]
strange [IMPLY] light [PERIOD]
popular [IMPLY] adorable [PERIOD]
witty [AND] uptight [AND] lonely [IMPLY] wrong [PERIOD]
different [AND] bossy [AND] shy [IMPLY] strange [PERIOD]
confused [AND] wrong [IMPLY] popular [PERIOD]
rational [AND] popular [IMPLY] lonely [PERIOD]
uptight [AND] blushing [IMPLY] bossy [PERIOD]
witty [AND] clumsy [IMPLY] blushing [PERIOD]
different [AND] cruel [IMPLY] beautiful [PERIOD]
adorable [IMPLY] blushing [PERIOD]
troubled [AND] dishonest [IMPLY] witty [PERIOD]
dishonest [AND] proud [AND] cruel [IMPLY] rational [PERIOD]
strange [IMPLY] excited [PERIOD]
worried [IMPLY] shy [PERIOD]
different [IMPLY] old-fashioned [PERIOD]
shy [AND] wrong [IMPLY] proud [PERIOD]
light [AND] clumsy [IMPLY] friendly [PERIOD]
beautiful [IMPLY] friendly [PERIOD]
bossy [AND] clumsy [IMPLY] light [PERIOD]
friendly [AND] shy [IMPLY] beautiful [PERIOD]
friendly [IMPLY] cruel [PERIOD]
fancy [AND] excited [IMPLY] troubled [PERIOD]
witty [IMPLY] uptight [PERIOD]
bossy [AND] beautiful [AND] proud [IMPLY] clumsy [PERIOD]
old-fashioned [AND] adorable [AND] excited [IMPLY] strange [PERIOD]
different [AND] bossy [AND] lonely [IMPLY] troubled [PERIOD]
popular [AND] cruel [IMPLY] light [PERIOD]
light [IMPLY] fancy [PERIOD]
sensible [IMPLY] blushing [PERIOD]
excited [AND] lonely [IMPLY] rational [PERIOD]
light [IMPLY] witty [PERIOD]
fancy [AND] old-fashioned [AND] beautiful [IMPLY] pessimistic [PERIOD]
excited [AND] pessimistic [IMPLY] bossy [PERIOD]
excited [AND] blushing [IMPLY] rational [PERIOD]
pessimistic [AND] shy [AND] wrong [IMPLY] beautiful [PERIOD]
old-fashioned [AND] sensible [AND] witty [IMPLY] pessimistic [PERIOD]
blushing [AND] different [AND] uptight [IMPLY] old-fashioned [PERIOD]
witty [AND] blushing [AND] proud [IMPLY] sensible [PERIOD]
cruel [AND] sensible [IMPLY] shy [PERIOD]
wrong [AND] rational [AND] bossy [IMPLY] uptight [PERIOD]
adorable [AND] rational [IMPLY] dishonest [PERIOD]
rational [AND] light [IMPLY] fancy [PERIOD]
friendly [IMPLY] lonely [PERIOD]
pessimistic [AND] confused [AND] adorable [IMPLY] strange [PERIOD]
bossy [AND] cruel [AND] worried [IMPLY] friendly [PERIOD]
lonely [IMPLY] cruel [PERIOD]
wrong [IMPLY] proud [PERIOD]
excited [AND] friendly [IMPLY] confused [PERIOD]
blushing [AND] troubled [AND] old-fashioned [IMPLY] wrong [PERIOD]
lonely [IMPLY] sensible [PERIOD]
friendly [IMPLY] sensible [PERIOD]
proud [AND] fancy [AND] bossy [IMPLY] excited [PERIOD]
confused [AND] troubled [AND] dishonest [IMPLY] lonely [PERIOD]
worried [AND] cruel [IMPLY] different [PERIOD]
pessimistic [AND] uptight [IMPLY] blushing [PERIOD]
confused [IMPLY] worried [PERIOD]
clumsy [AND] adorable [AND] proud [IMPLY] bossy [PERIOD]
bossy [AND] clumsy [IMPLY] different [PERIOD]
sensible [AND] cruel [IMPLY] different [PERIOD]
excited [AND] dishonest [AND] popular [IMPLY] adorable [PERIOD]
light [IMPLY] pessimistic [PERIOD]
clumsy [AND] light [IMPLY] popular [PERIOD]
pessimistic [AND] different [AND] worried [IMPLY] lonely [PERIOD]
popular [IMPLY] old-fashioned [PERIOD]
beautiful [AND] fancy [AND] sensible [IMPLY] dishonest [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   pessimistic ∧ different ∧ worried ⇒ lonely
   lonely ⇒ cruel
   different ∧ cruel ⇒ beautiful
",1,3
"Facts:  Alice is diplomatic [PERIOD] Alice is sensible [PERIOD] Alice is troubled [PERIOD] Alice is light [PERIOD] Alice is different [PERIOD] Alice is grumpy [PERIOD] Alice is bad-tempered [PERIOD] Alice is friendly [PERIOD] Alice is vivacious [PERIOD] Alice is perfect [PERIOD] Alice is tame [PERIOD] Alice is good [PERIOD] Alice is gorgeous [PERIOD] Alice is wandering [PERIOD]
Rules:
troubled [AND] cruel [IMPLY] friendly [PERIOD]
light [IMPLY] diplomatic [PERIOD]
agreeable [AND] different [AND] vivacious [IMPLY] jittery [PERIOD]
comfortable [IMPLY] light [PERIOD]
vivacious [AND] perfect [IMPLY] different [PERIOD]
gorgeous [IMPLY] uptight [PERIOD]
troubled [IMPLY] friendly [PERIOD]
diplomatic [AND] dishonest [AND] different [IMPLY] agreeable [PERIOD]
uptight [IMPLY] jittery [PERIOD]
uptight [IMPLY] wandering [PERIOD]
perfect [IMPLY] grumpy [PERIOD]
agreeable [IMPLY] long [PERIOD]
jittery [AND] dishonest [IMPLY] grumpy [PERIOD]
perfect [AND] wandering [IMPLY] grumpy [PERIOD]
gorgeous [AND] troubled [IMPLY] wandering [PERIOD]
light [AND] different [IMPLY] good [PERIOD]
light [AND] gorgeous [AND] dishonest [IMPLY] friendly [PERIOD]
vivacious [AND] uptight [IMPLY] jittery [PERIOD]
bad-tempered [AND] wandering [AND] diplomatic [IMPLY] long [PERIOD]
wandering [AND] gorgeous [AND] sensible [IMPLY] cruel [PERIOD]
troubled [IMPLY] bad-tempered [PERIOD]
dishonest [AND] sensible [IMPLY] troubled [PERIOD]
vivacious [AND] jittery [IMPLY] comfortable [PERIOD]
long [AND] tame [IMPLY] good [PERIOD]
tame [AND] diplomatic [IMPLY] grumpy [PERIOD]
different [AND] light [AND] perfect [IMPLY] bad-tempered [PERIOD]
troubled [IMPLY] diplomatic [PERIOD]
different [IMPLY] cruel [PERIOD]
different [AND] sensible [AND] tame [IMPLY] troubled [PERIOD]
jittery [IMPLY] long [PERIOD]
dishonest [AND] vivacious [AND] diplomatic [IMPLY] cruel [PERIOD]
agreeable [IMPLY] dishonest [PERIOD]
good [AND] comfortable [IMPLY] friendly [PERIOD]
light [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] cruel [PERIOD]
vivacious [IMPLY] jittery [PERIOD]
bad-tempered [IMPLY] diplomatic [PERIOD]
long [AND] comfortable [AND] jittery [IMPLY] gorgeous [PERIOD]
good [AND] gorgeous [IMPLY] friendly [PERIOD]
vivacious [AND] uptight [AND] sensible [IMPLY] cruel [PERIOD]
good [AND] cruel [IMPLY] light [PERIOD]
light [AND] grumpy [IMPLY] agreeable [PERIOD]
long [IMPLY] grumpy [PERIOD]
long [IMPLY] uptight [PERIOD]
grumpy [AND] diplomatic [AND] friendly [IMPLY] light [PERIOD]
agreeable [AND] troubled [IMPLY] diplomatic [PERIOD]
wandering [IMPLY] different [PERIOD]
long [IMPLY] gorgeous [PERIOD]
tame [AND] long [IMPLY] bad-tempered [PERIOD]
diplomatic [AND] dishonest [AND] comfortable [IMPLY] cruel [PERIOD]
troubled [AND] tame [IMPLY] bad-tempered [PERIOD]
friendly [AND] grumpy [IMPLY] dishonest [PERIOD]
gorgeous [AND] cruel [AND] friendly [IMPLY] uptight [PERIOD]
gorgeous [AND] comfortable [IMPLY] wandering [PERIOD]
sensible [AND] bad-tempered [AND] diplomatic [IMPLY] dishonest [PERIOD]
long [AND] friendly [IMPLY] uptight [PERIOD]
grumpy [AND] long [AND] tame [IMPLY] uptight [PERIOD]
bad-tempered [AND] comfortable [AND] diplomatic [IMPLY] light [PERIOD]
vivacious [IMPLY] troubled [PERIOD]
good [IMPLY] comfortable [PERIOD]
different [AND] cruel [AND] jittery [IMPLY] good [PERIOD]
dishonest [AND] long [AND] uptight [IMPLY] light [PERIOD]
long [AND] dishonest [AND] friendly [IMPLY] light [PERIOD]
dishonest [AND] gorgeous [AND] long [IMPLY] vivacious [PERIOD]
light [AND] bad-tempered [IMPLY] troubled [PERIOD]
tame [AND] long [IMPLY] troubled [PERIOD]
tame [IMPLY] uptight [PERIOD]
comfortable [AND] friendly [AND] wandering [IMPLY] light [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is intellectual [PERIOD] Alice is fragile [PERIOD] Alice is popular [PERIOD] Alice is agreeable [PERIOD] Alice is outrageous [PERIOD] Alice is lucky [PERIOD]
Rules:
lucky [IMPLY] bright [PERIOD]
agreeable [AND] bright [AND] fragile [IMPLY] foolish [PERIOD]
popular [AND] foolish [IMPLY] outrageous [PERIOD]
fragile [IMPLY] intellectual [PERIOD]
lucky [IMPLY] fragile [PERIOD]
intellectual [AND] fragile [AND] agreeable [IMPLY] foolish [PERIOD]
fragile [AND] foolish [AND] lucky [IMPLY] outrageous [PERIOD]
lucky [AND] agreeable [IMPLY] intellectual [PERIOD]
outrageous [AND] intellectual [IMPLY] popular [PERIOD]
bright [AND] agreeable [AND] popular [IMPLY] outrageous [PERIOD]
outrageous [AND] intellectual [AND] fragile [IMPLY] foolish [PERIOD]
bright [AND] outrageous [IMPLY] foolish [PERIOD]
popular [IMPLY] foolish [PERIOD]
bright [AND] foolish [IMPLY] agreeable [PERIOD]
fragile [IMPLY] outrageous [PERIOD]
intellectual [AND] lucky [IMPLY] foolish [PERIOD]
bright [AND] fragile [AND] foolish [IMPLY] outrageous [PERIOD]
agreeable [AND] foolish [IMPLY] bright [PERIOD]
fragile [AND] foolish [IMPLY] popular [PERIOD]
fragile [AND] lucky [AND] outrageous [IMPLY] bright [PERIOD]
lucky [IMPLY] intellectual [PERIOD]
lucky [AND] outrageous [IMPLY] foolish [PERIOD]
intellectual [IMPLY] fragile [PERIOD]
outrageous [IMPLY] popular [PERIOD]
foolish [AND] fragile [IMPLY] agreeable [PERIOD]
Query: Alice is popular [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is alert [PERIOD]
Rules:
alert [AND] rude [IMPLY] powerful [PERIOD]
dull [AND] frantic [AND] hurt [IMPLY] frightened [PERIOD]
famous [IMPLY] reserved [PERIOD]
reserved [AND] lucky [AND] alert [IMPLY] frantic [PERIOD]
plain [IMPLY] rude [PERIOD]
frightened [IMPLY] rude [PERIOD]
dull [AND] frightened [AND] hurt [IMPLY] troubled [PERIOD]
hurt [AND] rude [IMPLY] dull [PERIOD]
alert [AND] reserved [AND] frightened [IMPLY] hurt [PERIOD]
frightened [AND] rude [AND] frantic [IMPLY] plain [PERIOD]
famous [IMPLY] plain [PERIOD]
frightened [AND] reserved [IMPLY] busy [PERIOD]
alert [AND] frightened [IMPLY] plain [PERIOD]
hurt [IMPLY] frightened [PERIOD]
troubled [AND] busy [IMPLY] hurt [PERIOD]
frightened [IMPLY] lucky [PERIOD]
frightened [AND] alert [IMPLY] hurt [PERIOD]
rude [AND] troubled [IMPLY] dull [PERIOD]
alert [IMPLY] rude [PERIOD]
dull [AND] hurt [AND] alert [IMPLY] powerful [PERIOD]
lucky [AND] powerful [IMPLY] frightened [PERIOD]
plain [AND] famous [IMPLY] dull [PERIOD]
famous [AND] lucky [AND] plain [IMPLY] hurt [PERIOD]
hurt [IMPLY] plain [PERIOD]
troubled [AND] hurt [AND] alert [IMPLY] lucky [PERIOD]
alert [AND] frightened [AND] famous [IMPLY] frantic [PERIOD]
frantic [IMPLY] plain [PERIOD]
lucky [AND] busy [IMPLY] dull [PERIOD]
frightened [IMPLY] troubled [PERIOD]
plain [AND] troubled [IMPLY] lucky [PERIOD]
lucky [AND] alert [AND] troubled [IMPLY] plain [PERIOD]
dull [AND] hurt [IMPLY] combative [PERIOD]
lucky [AND] combative [IMPLY] alert [PERIOD]
lucky [IMPLY] troubled [PERIOD]
lucky [AND] dull [AND] combative [IMPLY] hurt [PERIOD]
rude [AND] powerful [AND] hurt [IMPLY] busy [PERIOD]
reserved [AND] famous [AND] rude [IMPLY] hurt [PERIOD]
combative [AND] lucky [IMPLY] famous [PERIOD]
rude [AND] powerful [AND] frantic [IMPLY] hurt [PERIOD]
troubled [AND] dull [IMPLY] powerful [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   Cannot apply rule “dull ∧ frightened ∧ hurt ⇒ troubled” because missing: dull, frightened, hurt.
   Cannot apply rule “frightened ⇒ troubled” because missing: frightened.
   Cannot apply rule “lucky ⇒ troubled” because missing: lucky.
",0,3
"Facts: 
Rules:
selfish [AND] outrageous [IMPLY] frantic [PERIOD]
gifted [IMPLY] selfish [PERIOD]
outrageous [AND] gorgeous [AND] selfish [IMPLY] frantic [PERIOD]
selfish [AND] outrageous [IMPLY] worrisome [PERIOD]
gorgeous [IMPLY] worrisome [PERIOD]
worrisome [AND] outrageous [IMPLY] frantic [PERIOD]
gifted [AND] selfish [IMPLY] gorgeous [PERIOD]
selfish [AND] frantic [IMPLY] gorgeous [PERIOD]
frantic [AND] outrageous [IMPLY] gorgeous [PERIOD]
frantic [AND] gorgeous [AND] outrageous [IMPLY] gifted [PERIOD]
outrageous [IMPLY] frantic [PERIOD]
worrisome [IMPLY] frantic [PERIOD]
outrageous [AND] worrisome [AND] selfish [IMPLY] frantic [PERIOD]
worrisome [IMPLY] gorgeous [PERIOD]
selfish [AND] worrisome [IMPLY] gifted [PERIOD]
worrisome [IMPLY] gifted [PERIOD]
worrisome [IMPLY] selfish [PERIOD]
gorgeous [IMPLY] outrageous [PERIOD]
frantic [AND] selfish [IMPLY] outrageous [PERIOD]
frantic [AND] gifted [AND] selfish [IMPLY] gorgeous [PERIOD]
worrisome [AND] gorgeous [IMPLY] frantic [PERIOD]
selfish [IMPLY] frantic [PERIOD]
Query: Alice is gifted [PERIOD]","Proof chain:
   Cannot apply rule “frantic ∧ gorgeous ∧ outrageous ⇒ gifted” because missing: frantic, gorgeous, outrageous.
   Cannot apply rule “selfish ∧ worrisome ⇒ gifted” because missing: selfish, worrisome.
   Cannot apply rule “worrisome ⇒ gifted” because missing: worrisome.
",0,3
"Facts:  Alice is average [PERIOD] Alice is bossy [PERIOD] Alice is blushing [PERIOD] Alice is modern [PERIOD]
Rules:
worried [AND] pessimistic [AND] frightened [IMPLY] lucky [PERIOD]
condemned [IMPLY] lucky [PERIOD]
jittery [AND] bossy [IMPLY] muddy [PERIOD]
quaint [IMPLY] lucky [PERIOD]
lucky [IMPLY] modern [PERIOD]
agreeable [AND] condemned [AND] pessimistic [IMPLY] muddy [PERIOD]
worried [AND] agreeable [AND] condemned [IMPLY] pessimistic [PERIOD]
agreeable [AND] modern [AND] worried [IMPLY] blushing [PERIOD]
lucky [AND] precious [AND] average [IMPLY] modern [PERIOD]
worried [AND] agreeable [IMPLY] modern [PERIOD]
frightened [IMPLY] muddy [PERIOD]
blushing [IMPLY] modern [PERIOD]
frightened [AND] modern [IMPLY] anxious [PERIOD]
quaint [AND] condemned [AND] sensible [IMPLY] jittery [PERIOD]
muddy [IMPLY] sensible [PERIOD]
attentive [AND] frightened [AND] pessimistic [IMPLY] modern [PERIOD]
frightened [IMPLY] pessimistic [PERIOD]
agreeable [AND] bossy [IMPLY] lucky [PERIOD]
precious [IMPLY] pessimistic [PERIOD]
quaint [AND] pessimistic [IMPLY] attentive [PERIOD]
pessimistic [AND] modern [AND] blushing [IMPLY] lucky [PERIOD]
frightened [AND] lucky [AND] attentive [IMPLY] agreeable [PERIOD]
quaint [IMPLY] precious [PERIOD]
anxious [IMPLY] condemned [PERIOD]
frightened [AND] muddy [IMPLY] jittery [PERIOD]
quaint [IMPLY] light [PERIOD]
precious [AND] lucky [AND] worried [IMPLY] anxious [PERIOD]
bossy [AND] muddy [AND] condemned [IMPLY] jittery [PERIOD]
attentive [IMPLY] blushing [PERIOD]
agreeable [AND] light [IMPLY] condemned [PERIOD]
bossy [IMPLY] lucky [PERIOD]
modern [AND] blushing [AND] light [IMPLY] average [PERIOD]
attentive [AND] anxious [IMPLY] jittery [PERIOD]
attentive [AND] jittery [AND] bossy [IMPLY] pessimistic [PERIOD]
blushing [AND] worried [IMPLY] muddy [PERIOD]
blushing [IMPLY] agreeable [PERIOD]
attentive [AND] modern [IMPLY] blushing [PERIOD]
worried [IMPLY] light [PERIOD]
worried [AND] sensible [AND] frightened [IMPLY] agreeable [PERIOD]
pessimistic [AND] condemned [AND] light [IMPLY] frightened [PERIOD]
pessimistic [AND] average [IMPLY] jittery [PERIOD]
blushing [AND] modern [IMPLY] quaint [PERIOD]
anxious [AND] blushing [IMPLY] agreeable [PERIOD]
average [AND] modern [IMPLY] condemned [PERIOD]
bossy [AND] attentive [AND] light [IMPLY] blushing [PERIOD]
sensible [AND] muddy [IMPLY] agreeable [PERIOD]
frightened [AND] agreeable [AND] sensible [IMPLY] attentive [PERIOD]
worried [IMPLY] blushing [PERIOD]
average [AND] bossy [IMPLY] pessimistic [PERIOD]
precious [AND] condemned [AND] pessimistic [IMPLY] blushing [PERIOD]
sensible [AND] jittery [IMPLY] attentive [PERIOD]
pessimistic [AND] anxious [AND] agreeable [IMPLY] muddy [PERIOD]
lucky [IMPLY] blushing [PERIOD]
worried [AND] bossy [IMPLY] average [PERIOD]
jittery [IMPLY] attentive [PERIOD]
agreeable [IMPLY] anxious [PERIOD]
agreeable [IMPLY] blushing [PERIOD]
worried [IMPLY] bossy [PERIOD]
modern [AND] bossy [AND] quaint [IMPLY] jittery [PERIOD]
sensible [AND] quaint [IMPLY] modern [PERIOD]
quaint [IMPLY] pessimistic [PERIOD]
pessimistic [IMPLY] worried [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
   average ∧ bossy ⇒ pessimistic
   average ∧ modern ⇒ condemned
   blushing ∧ modern ⇒ quaint
   quaint ⇒ light
   pessimistic ∧ condemned ∧ light ⇒ frightened
",1,5
"Facts:  Alice is joyous [PERIOD] Alice is sensible [PERIOD]
Rules:
joyous [AND] shiny [IMPLY] sincere [PERIOD]
wide-eyed [AND] famous [IMPLY] sensible [PERIOD]
gifted [AND] enchanting [IMPLY] shiny [PERIOD]
glamorous [AND] joyous [AND] talented [IMPLY] shiny [PERIOD]
attentive [AND] joyous [IMPLY] famous [PERIOD]
talented [IMPLY] condemned [PERIOD]
talented [AND] attentive [IMPLY] condemned [PERIOD]
sensible [AND] bossy [AND] enchanting [IMPLY] wide-eyed [PERIOD]
sensible [AND] comfortable [AND] joyous [IMPLY] shiny [PERIOD]
joyous [AND] bossy [IMPLY] famous [PERIOD]
famous [AND] enchanting [IMPLY] bossy [PERIOD]
condemned [IMPLY] talented [PERIOD]
comfortable [IMPLY] attentive [PERIOD]
comfortable [AND] sincere [AND] joyous [IMPLY] bored [PERIOD]
attentive [AND] bored [AND] famous [IMPLY] bossy [PERIOD]
joyous [AND] lucky [AND] condemned [IMPLY] famous [PERIOD]
talented [AND] gifted [AND] enchanting [IMPLY] bored [PERIOD]
bossy [AND] shiny [AND] condemned [IMPLY] enchanting [PERIOD]
sincere [IMPLY] famous [PERIOD]
famous [IMPLY] shiny [PERIOD]
condemned [AND] wide-eyed [IMPLY] bored [PERIOD]
condemned [IMPLY] sensible [PERIOD]
wide-eyed [IMPLY] shiny [PERIOD]
gifted [AND] sincere [IMPLY] talented [PERIOD]
enchanting [AND] bossy [AND] sensible [IMPLY] shiny [PERIOD]
enchanting [AND] famous [AND] talented [IMPLY] comfortable [PERIOD]
shiny [AND] bored [IMPLY] attentive [PERIOD]
sensible [AND] famous [AND] shiny [IMPLY] lucky [PERIOD]
gifted [IMPLY] talented [PERIOD]
shiny [IMPLY] enchanting [PERIOD]
enchanting [AND] bossy [IMPLY] condemned [PERIOD]
talented [AND] lucky [IMPLY] wide-eyed [PERIOD]
bored [AND] famous [AND] attentive [IMPLY] sensible [PERIOD]
bored [AND] gifted [AND] sincere [IMPLY] sensible [PERIOD]
gifted [AND] sincere [AND] shiny [IMPLY] sensible [PERIOD]
gifted [IMPLY] enchanting [PERIOD]
attentive [AND] bossy [AND] wide-eyed [IMPLY] lucky [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   Cannot apply rule “attentive ∧ joyous ⇒ famous” because missing: attentive.
   Cannot apply rule “joyous ∧ bossy ⇒ famous” because missing: bossy.
   Cannot apply rule “joyous ∧ lucky ∧ condemned ⇒ famous” because missing: lucky, condemned.
   Cannot apply rule “sincere ⇒ famous” because missing: sincere.
",0,4
"Facts:  Alice is jittery [PERIOD]
Rules:
hurt [AND] precious [AND] wide-eyed [IMPLY] polite [PERIOD]
hurt [AND] precious [IMPLY] muddy [PERIOD]
precious [AND] polite [IMPLY] hurt [PERIOD]
polite [IMPLY] muddy [PERIOD]
precious [AND] confident [AND] hurt [IMPLY] worried [PERIOD]
polite [AND] jittery [IMPLY] wide-eyed [PERIOD]
jittery [AND] polite [AND] precious [IMPLY] wide-eyed [PERIOD]
precious [AND] wide-eyed [IMPLY] jittery [PERIOD]
wide-eyed [IMPLY] confident [PERIOD]
wide-eyed [AND] worried [IMPLY] muddy [PERIOD]
muddy [IMPLY] jittery [PERIOD]
wide-eyed [IMPLY] polite [PERIOD]
jittery [IMPLY] polite [PERIOD]
muddy [AND] precious [IMPLY] wide-eyed [PERIOD]
precious [AND] hurt [IMPLY] jittery [PERIOD]
polite [AND] muddy [IMPLY] confident [PERIOD]
confident [AND] precious [AND] wide-eyed [IMPLY] worried [PERIOD]
muddy [AND] confident [AND] hurt [IMPLY] polite [PERIOD]
confident [IMPLY] worried [PERIOD]
jittery [AND] wide-eyed [AND] muddy [IMPLY] precious [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   jittery ⇒ polite
   polite ∧ jittery ⇒ wide-eyed
   jittery ⇒ polite
   polite ⇒ muddy
   jittery ∧ wide-eyed ∧ muddy ⇒ precious
   jittery ⇒ polite
   precious ∧ polite ⇒ hurt
",1,7
"Facts:  Alice is reserved [PERIOD]
Rules:
clumsy [AND] zealous [AND] gorgeous [IMPLY] impartial [PERIOD]
ugliest [IMPLY] zealous [PERIOD]
zealous [IMPLY] ugliest [PERIOD]
gorgeous [AND] ugliest [AND] zealous [IMPLY] reserved [PERIOD]
clumsy [AND] reserved [IMPLY] ugliest [PERIOD]
gorgeous [IMPLY] zealous [PERIOD]
clumsy [IMPLY] reserved [PERIOD]
clumsy [AND] gorgeous [AND] reserved [IMPLY] ugliest [PERIOD]
impartial [AND] gorgeous [IMPLY] zealous [PERIOD]
zealous [AND] clumsy [IMPLY] gorgeous [PERIOD]
clumsy [IMPLY] zealous [PERIOD]
zealous [IMPLY] gorgeous [PERIOD]
ugliest [AND] impartial [IMPLY] clumsy [PERIOD]
zealous [AND] gorgeous [IMPLY] ugliest [PERIOD]
gorgeous [AND] clumsy [AND] zealous [IMPLY] ugliest [PERIOD]
zealous [IMPLY] impartial [PERIOD]
reserved [AND] gorgeous [IMPLY] ugliest [PERIOD]
clumsy [AND] gorgeous [AND] ugliest [IMPLY] zealous [PERIOD]
zealous [AND] reserved [IMPLY] clumsy [PERIOD]
ugliest [AND] impartial [IMPLY] gorgeous [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
   Cannot apply rule “zealous ⇒ ugliest” because missing: zealous.
   Cannot apply rule “clumsy ∧ reserved ⇒ ugliest” because missing: clumsy.
   Cannot apply rule “clumsy ∧ gorgeous ∧ reserved ⇒ ugliest” because missing: clumsy, gorgeous.
   Cannot apply rule “zealous ∧ gorgeous ⇒ ugliest” because missing: zealous, gorgeous.
   Cannot apply rule “gorgeous ∧ clumsy ∧ zealous ⇒ ugliest” because missing: gorgeous, clumsy, zealous.
   Cannot apply rule “reserved ∧ gorgeous ⇒ ugliest” because missing: gorgeous.
",0,6
"Facts: 
Rules:
stubborn [AND] popular [AND] excited [IMPLY] tender [PERIOD]
tame [IMPLY] embarrassed [PERIOD]
tender [AND] lucky [IMPLY] innocent [PERIOD]
unpleasant [AND] strange [IMPLY] busy [PERIOD]
popular [AND] supportive [IMPLY] strange [PERIOD]
distinct [AND] unpleasant [AND] strange [IMPLY] tender [PERIOD]
tense [AND] tame [AND] excited [IMPLY] stubborn [PERIOD]
innocent [AND] inexpensive [AND] supportive [IMPLY] intellectual [PERIOD]
supportive [IMPLY] good [PERIOD]
serious [AND] innocent [AND] strange [IMPLY] busy [PERIOD]
scared [AND] mysterious [AND] supportive [IMPLY] strange [PERIOD]
mysterious [AND] serious [AND] innocent [IMPLY] tame [PERIOD]
tender [AND] serious [AND] intellectual [IMPLY] unpleasant [PERIOD]
popular [IMPLY] alert [PERIOD]
helpful [AND] stubborn [IMPLY] lucky [PERIOD]
tender [IMPLY] busy [PERIOD]
good [AND] old-fashioned [AND] supportive [IMPLY] lucky [PERIOD]
intellectual [AND] stubborn [IMPLY] helpless [PERIOD]
tender [AND] old-fashioned [IMPLY] helpless [PERIOD]
stubborn [IMPLY] good [PERIOD]
helpful [AND] excited [IMPLY] tender [PERIOD]
inexpensive [AND] innocent [AND] helpful [IMPLY] scared [PERIOD]
distinct [AND] unpleasant [IMPLY] mysterious [PERIOD]
unpleasant [IMPLY] distinct [PERIOD]
tame [AND] distinct [IMPLY] innocent [PERIOD]
distinct [AND] busy [AND] intellectual [IMPLY] inexpensive [PERIOD]
stubborn [AND] popular [AND] serious [IMPLY] intellectual [PERIOD]
helpless [AND] stubborn [AND] intellectual [IMPLY] lucky [PERIOD]
strange [IMPLY] scared [PERIOD]
tame [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] embarrassed [PERIOD]
serious [AND] busy [AND] tense [IMPLY] innocent [PERIOD]
distinct [IMPLY] helpful [PERIOD]
scared [AND] strange [IMPLY] busy [PERIOD]
intellectual [AND] tame [IMPLY] tender [PERIOD]
embarrassed [AND] innocent [AND] mysterious [IMPLY] helpless [PERIOD]
busy [AND] alert [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] intellectual [IMPLY] innocent [PERIOD]
excited [AND] tame [AND] serious [IMPLY] popular [PERIOD]
good [IMPLY] popular [PERIOD]
distinct [AND] serious [IMPLY] popular [PERIOD]
mysterious [AND] busy [IMPLY] old-fashioned [PERIOD]
distinct [IMPLY] intellectual [PERIOD]
helpful [AND] lucky [IMPLY] strange [PERIOD]
mysterious [AND] inexpensive [AND] tense [IMPLY] serious [PERIOD]
tame [AND] innocent [IMPLY] embarrassed [PERIOD]
tender [IMPLY] serious [PERIOD]
tense [AND] tender [AND] distinct [IMPLY] helpful [PERIOD]
mysterious [AND] scared [IMPLY] alert [PERIOD]
lucky [AND] scared [AND] helpful [IMPLY] good [PERIOD]
unpleasant [AND] tame [AND] tender [IMPLY] strange [PERIOD]
tense [IMPLY] good [PERIOD]
tense [IMPLY] busy [PERIOD]
unpleasant [AND] popular [IMPLY] serious [PERIOD]
serious [AND] tense [IMPLY] unpleasant [PERIOD]
lucky [IMPLY] busy [PERIOD]
alert [AND] helpless [IMPLY] tame [PERIOD]
helpful [AND] unpleasant [AND] scared [IMPLY] serious [PERIOD]
tame [AND] tense [IMPLY] inexpensive [PERIOD]
lucky [AND] embarrassed [AND] tender [IMPLY] unpleasant [PERIOD]
intellectual [IMPLY] excited [PERIOD]
busy [IMPLY] tense [PERIOD]
mysterious [IMPLY] unpleasant [PERIOD]
popular [IMPLY] excited [PERIOD]
supportive [AND] alert [IMPLY] unpleasant [PERIOD]
helpful [AND] tame [AND] mysterious [IMPLY] old-fashioned [PERIOD]
tame [IMPLY] innocent [PERIOD]
innocent [AND] helpful [AND] distinct [IMPLY] excited [PERIOD]
helpful [AND] supportive [IMPLY] good [PERIOD]
tame [AND] unpleasant [IMPLY] mysterious [PERIOD]
intellectual [AND] good [AND] busy [IMPLY] stubborn [PERIOD]
intellectual [AND] serious [IMPLY] popular [PERIOD]
old-fashioned [AND] tense [AND] helpful [IMPLY] scared [PERIOD]
lucky [AND] tame [AND] distinct [IMPLY] good [PERIOD]
serious [AND] stubborn [AND] lucky [IMPLY] strange [PERIOD]
good [AND] helpless [AND] helpful [IMPLY] excited [PERIOD]
intellectual [IMPLY] tender [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
   Cannot apply rule “unpleasant ∧ strange ⇒ busy” because missing: unpleasant, strange.
   Cannot apply rule “serious ∧ innocent ∧ strange ⇒ busy” because missing: serious, innocent, strange.
   Cannot apply rule “tender ⇒ busy” because missing: tender.
   Cannot apply rule “scared ∧ strange ⇒ busy” because missing: scared, strange.
   Cannot apply rule “tense ⇒ busy” because missing: tense.
   Cannot apply rule “lucky ⇒ busy” because missing: lucky.
",0,6
"Facts:  Alice is victorious [PERIOD] Alice is joyous [PERIOD] Alice is worrisome [PERIOD] Alice is messy [PERIOD] Alice is excited [PERIOD] Alice is pleasant [PERIOD] Alice is proud [PERIOD]
Rules:
homely [IMPLY] excited [PERIOD]
bad-tempered [IMPLY] alert [PERIOD]
gleaming [AND] cute [AND] excited [IMPLY] strange [PERIOD]
light [AND] messy [AND] tame [IMPLY] popular [PERIOD]
pleasant [AND] shy [IMPLY] tame [PERIOD]
gorgeous [AND] victorious [AND] fearless [IMPLY] hypocritical [PERIOD]
gorgeous [AND] excited [IMPLY] light [PERIOD]
worrisome [AND] helpful [IMPLY] popular [PERIOD]
different [IMPLY] lucky [PERIOD]
bad-tempered [AND] alert [IMPLY] wrong [PERIOD]
tired [AND] shy [IMPLY] vivacious [PERIOD]
fearless [IMPLY] helpful [PERIOD]
joyous [IMPLY] worrisome [PERIOD]
fearless [AND] shy [IMPLY] pleasant [PERIOD]
lucky [IMPLY] joyous [PERIOD]
bad-tempered [IMPLY] reserved [PERIOD]
lucky [IMPLY] different [PERIOD]
light [IMPLY] tame [PERIOD]
lucky [IMPLY] excited [PERIOD]
victorious [AND] lucky [AND] shy [IMPLY] reserved [PERIOD]
victorious [AND] shy [AND] gorgeous [IMPLY] light [PERIOD]
cute [AND] proud [IMPLY] tame [PERIOD]
popular [IMPLY] reserved [PERIOD]
different [IMPLY] light [PERIOD]
cute [AND] messy [AND] hypocritical [IMPLY] attractive [PERIOD]
popular [AND] pleasant [IMPLY] wrong [PERIOD]
popular [IMPLY] tired [PERIOD]
shy [AND] tired [IMPLY] hypocritical [PERIOD]
vivacious [AND] excited [IMPLY] popular [PERIOD]
strange [AND] fearless [AND] light [IMPLY] wrong [PERIOD]
worrisome [AND] vivacious [IMPLY] lucky [PERIOD]
tired [AND] attractive [AND] wrong [IMPLY] gorgeous [PERIOD]
victorious [AND] light [IMPLY] hypocritical [PERIOD]
joyous [IMPLY] quaint [PERIOD]
cute [AND] gleaming [IMPLY] attractive [PERIOD]
bad-tempered [IMPLY] quaint [PERIOD]
wrong [AND] pleasant [IMPLY] messy [PERIOD]
gleaming [AND] joyous [IMPLY] bad-tempered [PERIOD]
cute [IMPLY] proud [PERIOD]
tired [AND] joyous [IMPLY] lucky [PERIOD]
pleasant [IMPLY] hypocritical [PERIOD]
hypocritical [AND] homely [IMPLY] cute [PERIOD]
strange [AND] gleaming [AND] wrong [IMPLY] popular [PERIOD]
popular [IMPLY] vivacious [PERIOD]
different [AND] light [IMPLY] messy [PERIOD]
homely [AND] embarrassed [IMPLY] joyous [PERIOD]
gorgeous [AND] joyous [AND] homely [IMPLY] quaint [PERIOD]
messy [AND] excited [AND] worrisome [IMPLY] quaint [PERIOD]
alert [IMPLY] victorious [PERIOD]
fearless [IMPLY] bad-tempered [PERIOD]
tired [AND] alert [AND] lucky [IMPLY] homely [PERIOD]
vivacious [AND] different [AND] tame [IMPLY] pleasant [PERIOD]
quaint [AND] vivacious [AND] lucky [IMPLY] excited [PERIOD]
light [AND] popular [IMPLY] attractive [PERIOD]
quaint [AND] fearless [IMPLY] proud [PERIOD]
quaint [AND] helpful [IMPLY] alert [PERIOD]
hypocritical [AND] messy [AND] bad-tempered [IMPLY] wrong [PERIOD]
embarrassed [IMPLY] worrisome [PERIOD]
embarrassed [AND] different [IMPLY] tame [PERIOD]
different [AND] wrong [AND] fearless [IMPLY] tame [PERIOD]
popular [AND] reserved [AND] quaint [IMPLY] helpful [PERIOD]
victorious [AND] attractive [AND] messy [IMPLY] excited [PERIOD]
wrong [AND] proud [IMPLY] popular [PERIOD]
gorgeous [AND] quaint [IMPLY] wrong [PERIOD]
tired [AND] joyous [AND] victorious [IMPLY] lucky [PERIOD]
proud [AND] gleaming [AND] worrisome [IMPLY] attractive [PERIOD]
excited [AND] pleasant [IMPLY] strange [PERIOD]
proud [IMPLY] quaint [PERIOD]
gleaming [IMPLY] lucky [PERIOD]
proud [AND] alert [IMPLY] hypocritical [PERIOD]
homely [IMPLY] cute [PERIOD]
helpful [AND] proud [AND] lucky [IMPLY] homely [PERIOD]
gorgeous [AND] vivacious [IMPLY] gleaming [PERIOD]
alert [IMPLY] different [PERIOD]
reserved [AND] pleasant [IMPLY] attractive [PERIOD]
wrong [AND] tame [AND] proud [IMPLY] hypocritical [PERIOD]
light [AND] homely [IMPLY] tired [PERIOD]
popular [AND] cute [AND] gleaming [IMPLY] wrong [PERIOD]
homely [AND] tame [AND] different [IMPLY] bad-tempered [PERIOD]
reserved [IMPLY] attractive [PERIOD]
pleasant [AND] proud [IMPLY] strange [PERIOD]
embarrassed [AND] worrisome [AND] pleasant [IMPLY] lucky [PERIOD]
cute [IMPLY] shy [PERIOD]
cute [IMPLY] reserved [PERIOD]
tame [AND] bad-tempered [IMPLY] joyous [PERIOD]
worrisome [AND] fearless [IMPLY] popular [PERIOD]
hypocritical [AND] pleasant [AND] messy [IMPLY] victorious [PERIOD]
cute [AND] lucky [IMPLY] excited [PERIOD]
bad-tempered [IMPLY] joyous [PERIOD]
lucky [IMPLY] reserved [PERIOD]
attractive [AND] helpful [AND] gleaming [IMPLY] light [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   Cannot apply rule “different ⇒ lucky” because missing: different.
   Cannot apply rule “worrisome ∧ vivacious ⇒ lucky” because missing: vivacious.
   Cannot apply rule “tired ∧ joyous ⇒ lucky” because missing: tired.
   Cannot apply rule “tired ∧ joyous ∧ victorious ⇒ lucky” because missing: tired.
   Cannot apply rule “gleaming ⇒ lucky” because missing: gleaming.
   Cannot apply rule “embarrassed ∧ worrisome ∧ pleasant ⇒ lucky” because missing: embarrassed.
",0,6
"Facts:  Alice is enchanting [PERIOD] Alice is jittery [PERIOD]
Rules:
victorious [AND] blushing [IMPLY] foolish [PERIOD]
loving [AND] wandering [AND] enchanting [IMPLY] worried [PERIOD]
spotless [IMPLY] bored [PERIOD]
bright [IMPLY] loving [PERIOD]
strange [IMPLY] outrageous [PERIOD]
jittery [AND] witty [IMPLY] strange [PERIOD]
curious [AND] bossy [AND] foolish [IMPLY] jittery [PERIOD]
foolish [IMPLY] attractive [PERIOD]
fragile [AND] victorious [IMPLY] aggressive [PERIOD]
jittery [IMPLY] blushing [PERIOD]
bright [AND] wandering [IMPLY] serious [PERIOD]
bossy [AND] proud [AND] agreeable [IMPLY] bored [PERIOD]
lonely [AND] frantic [AND] wandering [IMPLY] enchanting [PERIOD]
blushing [AND] jittery [AND] foolish [IMPLY] bossy [PERIOD]
spotless [AND] aggressive [AND] worried [IMPLY] lonely [PERIOD]
messy [AND] bored [IMPLY] attractive [PERIOD]
rational [AND] bored [IMPLY] witty [PERIOD]
worried [AND] bored [IMPLY] proud [PERIOD]
aggressive [AND] outrageous [IMPLY] talkative [PERIOD]
frantic [AND] stubborn [AND] proud [IMPLY] foolish [PERIOD]
serious [AND] bossy [AND] worried [IMPLY] messy [PERIOD]
frantic [IMPLY] foolish [PERIOD]
messy [AND] serious [AND] foolish [IMPLY] rational [PERIOD]
serious [AND] bored [IMPLY] outrageous [PERIOD]
lonely [AND] foolish [AND] outrageous [IMPLY] talkative [PERIOD]
attractive [IMPLY] aggressive [PERIOD]
messy [IMPLY] witty [PERIOD]
rational [AND] bored [IMPLY] lonely [PERIOD]
curious [AND] lonely [AND] fragile [IMPLY] loving [PERIOD]
lonely [IMPLY] outrageous [PERIOD]
rational [IMPLY] strange [PERIOD]
witty [AND] serious [IMPLY] enchanting [PERIOD]
fragile [IMPLY] aggressive [PERIOD]
loving [AND] strange [AND] aggressive [IMPLY] talkative [PERIOD]
serious [AND] victorious [AND] outrageous [IMPLY] jittery [PERIOD]
blushing [AND] frantic [AND] bossy [IMPLY] attractive [PERIOD]
enchanting [IMPLY] stubborn [PERIOD]
enchanting [AND] frantic [IMPLY] curious [PERIOD]
foolish [AND] spotless [AND] strange [IMPLY] agreeable [PERIOD]
attractive [AND] bossy [IMPLY] aggressive [PERIOD]
lonely [IMPLY] bright [PERIOD]
fragile [IMPLY] agreeable [PERIOD]
outrageous [AND] loving [AND] victorious [IMPLY] worried [PERIOD]
bored [IMPLY] spotless [PERIOD]
foolish [IMPLY] bright [PERIOD]
blushing [AND] talkative [IMPLY] enchanting [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   Cannot apply rule “lonely ⇒ bright” because missing: lonely.
   Cannot apply rule “foolish ⇒ bright” because missing: foolish.
",0,2
"Facts:  Alice is disgusted [PERIOD] Alice is victorious [PERIOD]
Rules:
powerful [IMPLY] exuberant [PERIOD]
elated [IMPLY] supportive [PERIOD]
alert [AND] powerful [AND] supportive [IMPLY] victorious [PERIOD]
sleepy [IMPLY] powerful [PERIOD]
frantic [AND] supportive [IMPLY] elated [PERIOD]
sleepy [AND] powerful [AND] exuberant [IMPLY] supportive [PERIOD]
ugliest [IMPLY] exuberant [PERIOD]
ugliest [AND] supportive [AND] alert [IMPLY] disgusted [PERIOD]
victorious [IMPLY] frantic [PERIOD]
alert [IMPLY] powerful [PERIOD]
ugliest [AND] disgusted [IMPLY] frantic [PERIOD]
powerful [AND] exuberant [IMPLY] elated [PERIOD]
victorious [AND] frantic [AND] ugliest [IMPLY] sleepy [PERIOD]
ugliest [AND] disgusted [AND] elated [IMPLY] supportive [PERIOD]
victorious [AND] alert [AND] ugliest [IMPLY] disgusted [PERIOD]
elated [AND] disgusted [AND] exuberant [IMPLY] victorious [PERIOD]
disgusted [AND] exuberant [AND] sleepy [IMPLY] supportive [PERIOD]
ugliest [AND] powerful [IMPLY] supportive [PERIOD]
frantic [IMPLY] supportive [PERIOD]
frantic [AND] supportive [IMPLY] sleepy [PERIOD]
alert [AND] disgusted [AND] ugliest [IMPLY] supportive [PERIOD]
ugliest [AND] powerful [IMPLY] exuberant [PERIOD]
sleepy [AND] victorious [AND] alert [IMPLY] elated [PERIOD]
ugliest [AND] exuberant [IMPLY] frantic [PERIOD]
elated [AND] powerful [AND] alert [IMPLY] ugliest [PERIOD]
powerful [AND] sleepy [IMPLY] alert [PERIOD]
powerful [AND] elated [IMPLY] victorious [PERIOD]
alert [IMPLY] supportive [PERIOD]
frantic [AND] exuberant [IMPLY] powerful [PERIOD]
sleepy [IMPLY] victorious [PERIOD]
sleepy [AND] exuberant [IMPLY] supportive [PERIOD]
alert [AND] elated [IMPLY] powerful [PERIOD]
elated [IMPLY] ugliest [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   victorious ⇒ frantic
   victorious ⇒ frantic
   frantic ⇒ supportive
   frantic ∧ supportive ⇒ sleepy
",1,4
"Facts:  Alice is stubborn [PERIOD] Alice is zealous [PERIOD] Alice is outstanding [PERIOD] Alice is horrible [PERIOD] Alice is condemned [PERIOD] Alice is vivacious [PERIOD]
Rules:
pleasant [IMPLY] calm [PERIOD]
reserved [AND] clumsy [AND] famous [IMPLY] horrible [PERIOD]
charming [AND] spotless [IMPLY] horrible [PERIOD]
zealous [IMPLY] proud [PERIOD]
cooperative [AND] charming [AND] clumsy [IMPLY] stormy [PERIOD]
stubborn [IMPLY] famous [PERIOD]
plain [IMPLY] outstanding [PERIOD]
proud [IMPLY] stubborn [PERIOD]
homely [IMPLY] witty [PERIOD]
fine [AND] proud [IMPLY] outstanding [PERIOD]
spotless [IMPLY] famous [PERIOD]
stormy [AND] witty [AND] condemned [IMPLY] famous [PERIOD]
charming [AND] witty [IMPLY] zealous [PERIOD]
stubborn [IMPLY] homely [PERIOD]
zealous [AND] condemned [IMPLY] worrisome [PERIOD]
clumsy [AND] condemned [IMPLY] fine [PERIOD]
spotless [IMPLY] pleasant [PERIOD]
spotless [AND] famous [AND] condemned [IMPLY] stubborn [PERIOD]
witty [AND] elated [AND] charming [IMPLY] confused [PERIOD]
horrible [IMPLY] stormy [PERIOD]
homely [AND] worrisome [IMPLY] pleasant [PERIOD]
reserved [AND] fine [IMPLY] plain [PERIOD]
vivacious [IMPLY] cooperative [PERIOD]
adorable [IMPLY] calm [PERIOD]
stormy [AND] wrong [AND] witty [IMPLY] stubborn [PERIOD]
pleasant [AND] helpless [AND] vivacious [IMPLY] confused [PERIOD]
homely [AND] horrible [AND] wrong [IMPLY] cooperative [PERIOD]
elated [AND] helpless [IMPLY] adorable [PERIOD]
clumsy [AND] charming [AND] pleasant [IMPLY] homely [PERIOD]
witty [AND] reserved [AND] proud [IMPLY] stormy [PERIOD]
clumsy [AND] proud [AND] confused [IMPLY] adorable [PERIOD]
stubborn [AND] fine [IMPLY] confused [PERIOD]
zealous [IMPLY] condemned [PERIOD]
outstanding [AND] famous [AND] clumsy [IMPLY] plain [PERIOD]
cooperative [AND] confused [IMPLY] zealous [PERIOD]
plain [AND] fine [IMPLY] pleasant [PERIOD]
calm [AND] fine [IMPLY] witty [PERIOD]
horrible [AND] vivacious [AND] fine [IMPLY] homely [PERIOD]
outstanding [IMPLY] calm [PERIOD]
confused [AND] famous [AND] helpless [IMPLY] clumsy [PERIOD]
spotless [AND] elated [IMPLY] wrong [PERIOD]
famous [AND] homely [AND] charming [IMPLY] reserved [PERIOD]
outstanding [IMPLY] pleasant [PERIOD]
Query: Alice is adorable [PERIOD]","Proof chain:
   Cannot apply rule “elated ∧ helpless ⇒ adorable” because missing: elated, helpless.
   zealous ⇒ proud
   Cannot apply rule “clumsy ∧ proud ∧ confused ⇒ adorable” because missing: clumsy, confused.
",0,3
"Facts:  Alice is talkative [PERIOD] Alice is fragile [PERIOD] Alice is confused [PERIOD] Alice is anxious [PERIOD] Alice is messy [PERIOD] Alice is rude [PERIOD]
Rules:
hurt [AND] embarrassed [AND] plain [IMPLY] alert [PERIOD]
tense [AND] powerful [AND] wandering [IMPLY] impartial [PERIOD]
messy [AND] powerful [IMPLY] hurt [PERIOD]
dishonest [IMPLY] stupid [PERIOD]
stupid [AND] troubled [IMPLY] popular [PERIOD]
perfect [AND] spotless [IMPLY] calm [PERIOD]
anxious [AND] calm [AND] rude [IMPLY] sleepy [PERIOD]
messy [IMPLY] gleaming [PERIOD]
beautiful [AND] perfect [AND] impartial [IMPLY] sleepy [PERIOD]
plain [AND] sleepy [IMPLY] impartial [PERIOD]
messy [IMPLY] dishonest [PERIOD]
tense [AND] disobedient [AND] talkative [IMPLY] calm [PERIOD]
sleepy [AND] talkative [AND] dishonest [IMPLY] hurt [PERIOD]
embarrassed [AND] powerful [IMPLY] calm [PERIOD]
stupid [AND] talkative [AND] alert [IMPLY] impartial [PERIOD]
fragile [AND] dull [IMPLY] disobedient [PERIOD]
wandering [AND] calm [AND] sleepy [IMPLY] dull [PERIOD]
dull [AND] popular [AND] messy [IMPLY] wandering [PERIOD]
nervous [AND] perfect [IMPLY] popular [PERIOD]
nervous [AND] talkative [IMPLY] rude [PERIOD]
spotless [IMPLY] perfect [PERIOD]
gleaming [AND] disobedient [IMPLY] embarrassed [PERIOD]
confused [AND] troubled [AND] stupid [IMPLY] nervous [PERIOD]
confused [AND] alert [AND] frantic [IMPLY] stupid [PERIOD]
nervous [AND] embarrassed [AND] hurt [IMPLY] gleaming [PERIOD]
stupid [AND] confused [IMPLY] troubled [PERIOD]
frantic [IMPLY] embarrassed [PERIOD]
beautiful [AND] dishonest [AND] disobedient [IMPLY] calm [PERIOD]
dull [IMPLY] confused [PERIOD]
sleepy [AND] frantic [IMPLY] rude [PERIOD]
perfect [AND] dishonest [IMPLY] nervous [PERIOD]
popular [AND] dishonest [AND] gleaming [IMPLY] anxious [PERIOD]
troubled [AND] beautiful [IMPLY] calm [PERIOD]
troubled [AND] confused [IMPLY] nervous [PERIOD]
plain [AND] powerful [IMPLY] dishonest [PERIOD]
anxious [AND] wandering [IMPLY] nervous [PERIOD]
fragile [AND] sleepy [IMPLY] tense [PERIOD]
sleepy [IMPLY] impartial [PERIOD]
perfect [AND] embarrassed [IMPLY] dull [PERIOD]
stupid [IMPLY] talkative [PERIOD]
nervous [AND] dull [AND] alert [IMPLY] fragile [PERIOD]
hurt [AND] perfect [AND] spotless [IMPLY] dull [PERIOD]
nervous [AND] confused [IMPLY] tense [PERIOD]
perfect [AND] plain [AND] dishonest [IMPLY] wandering [PERIOD]
anxious [AND] disobedient [AND] rude [IMPLY] troubled [PERIOD]
beautiful [AND] troubled [IMPLY] powerful [PERIOD]
rude [IMPLY] troubled [PERIOD]
frantic [IMPLY] hurt [PERIOD]
disobedient [IMPLY] spotless [PERIOD]
alert [IMPLY] dull [PERIOD]
gleaming [AND] dishonest [IMPLY] powerful [PERIOD]
talkative [AND] dull [AND] disobedient [IMPLY] spotless [PERIOD]
alert [AND] troubled [IMPLY] nervous [PERIOD]
alert [IMPLY] troubled [PERIOD]
dull [AND] spotless [AND] plain [IMPLY] perfect [PERIOD]
frantic [AND] alert [AND] gleaming [IMPLY] plain [PERIOD]
hurt [AND] embarrassed [AND] gleaming [IMPLY] confused [PERIOD]
confused [AND] calm [IMPLY] alert [PERIOD]
alert [AND] wandering [IMPLY] perfect [PERIOD]
dull [AND] perfect [AND] impartial [IMPLY] disobedient [PERIOD]
alert [AND] sleepy [AND] popular [IMPLY] disobedient [PERIOD]
tense [AND] spotless [IMPLY] popular [PERIOD]
tense [AND] wandering [IMPLY] troubled [PERIOD]
hurt [IMPLY] anxious [PERIOD]
sleepy [IMPLY] dishonest [PERIOD]
alert [AND] messy [IMPLY] nervous [PERIOD]
gleaming [IMPLY] powerful [PERIOD]
alert [IMPLY] powerful [PERIOD]
messy [AND] powerful [IMPLY] dishonest [PERIOD]
tense [AND] dishonest [IMPLY] talkative [PERIOD]
confused [AND] nervous [AND] spotless [IMPLY] messy [PERIOD]
sleepy [AND] alert [IMPLY] wandering [PERIOD]
disobedient [IMPLY] impartial [PERIOD]
messy [AND] embarrassed [AND] beautiful [IMPLY] popular [PERIOD]
confused [AND] troubled [AND] fragile [IMPLY] alert [PERIOD]
talkative [AND] beautiful [IMPLY] rude [PERIOD]
dull [IMPLY] impartial [PERIOD]
dull [AND] stupid [IMPLY] perfect [PERIOD]
fragile [IMPLY] calm [PERIOD]
troubled [AND] messy [IMPLY] powerful [PERIOD]
dull [IMPLY] alert [PERIOD]
plain [IMPLY] disobedient [PERIOD]
dull [AND] frantic [AND] hurt [IMPLY] embarrassed [PERIOD]
rude [AND] nervous [AND] spotless [IMPLY] popular [PERIOD]
wandering [IMPLY] dishonest [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   messy ⇒ gleaming
   fragile ⇒ calm
   confused ∧ calm ⇒ alert
   alert ⇒ dull
   fragile ∧ dull ⇒ disobedient
   gleaming ∧ disobedient ⇒ embarrassed
",1,6
"Facts:  Alice is anxious [PERIOD] Alice is tired [PERIOD] Alice is blushing [PERIOD] Alice is hypocritical [PERIOD] Alice is ugly [PERIOD]
Rules:
weary [AND] gorgeous [IMPLY] blushing [PERIOD]
gorgeous [AND] impatient [IMPLY] stormy [PERIOD]
stormy [AND] quaint [IMPLY] long [PERIOD]
shiny [AND] disobedient [IMPLY] stormy [PERIOD]
comfortable [IMPLY] stubborn [PERIOD]
quaint [AND] stubborn [IMPLY] weary [PERIOD]
blushing [IMPLY] elated [PERIOD]
disobedient [IMPLY] elated [PERIOD]
rational [AND] comfortable [AND] shiny [IMPLY] gorgeous [PERIOD]
condemned [AND] quaint [AND] long [IMPLY] tired [PERIOD]
hypocritical [AND] quaint [AND] gorgeous [IMPLY] weary [PERIOD]
long [AND] hurt [AND] tense [IMPLY] hypocritical [PERIOD]
stubborn [AND] condemned [IMPLY] tame [PERIOD]
elated [IMPLY] cute [PERIOD]
elated [AND] disobedient [AND] ugly [IMPLY] elegant [PERIOD]
stubborn [AND] ugly [IMPLY] hurt [PERIOD]
stormy [IMPLY] comfortable [PERIOD]
tame [IMPLY] elegant [PERIOD]
shiny [AND] tame [AND] long [IMPLY] tense [PERIOD]
condemned [AND] blushing [AND] tense [IMPLY] rational [PERIOD]
stormy [AND] ugly [IMPLY] cooperative [PERIOD]
tame [AND] impatient [IMPLY] comfortable [PERIOD]
hurt [AND] elegant [IMPLY] impatient [PERIOD]
tired [AND] gorgeous [AND] impatient [IMPLY] ugly [PERIOD]
blushing [AND] hypocritical [AND] anxious [IMPLY] condemned [PERIOD]
ugly [IMPLY] hurt [PERIOD]
hypocritical [AND] hurt [IMPLY] anxious [PERIOD]
elegant [IMPLY] comfortable [PERIOD]
shiny [AND] comfortable [IMPLY] condemned [PERIOD]
comfortable [AND] elated [AND] disobedient [IMPLY] tense [PERIOD]
disobedient [AND] stubborn [AND] comfortable [IMPLY] impatient [PERIOD]
stormy [AND] tense [IMPLY] shiny [PERIOD]
ugly [AND] quaint [AND] tired [IMPLY] elated [PERIOD]
gorgeous [IMPLY] long [PERIOD]
cooperative [IMPLY] shiny [PERIOD]
comfortable [AND] gorgeous [IMPLY] hurt [PERIOD]
blushing [AND] tense [AND] quaint [IMPLY] cooperative [PERIOD]
hypocritical [IMPLY] tired [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   Cannot apply rule “stormy ⇒ comfortable” because missing: stormy.
   Cannot apply rule “tame ∧ impatient ⇒ comfortable” because missing: tame, impatient.
   Cannot apply rule “elegant ⇒ comfortable” because missing: elegant.
",0,3
"Facts: 
Rules:
tame [AND] aggressive [IMPLY] vivacious [PERIOD]
tender [AND] helpless [IMPLY] beautiful [PERIOD]
tame [AND] helpless [IMPLY] aggressive [PERIOD]
beautiful [AND] vivacious [IMPLY] bossy [PERIOD]
vivacious [AND] tender [AND] tame [IMPLY] aggressive [PERIOD]
tame [AND] vivacious [IMPLY] bossy [PERIOD]
vivacious [AND] tame [IMPLY] tender [PERIOD]
bossy [AND] tender [IMPLY] tame [PERIOD]
bossy [AND] helpless [IMPLY] tame [PERIOD]
beautiful [AND] tame [AND] helpless [IMPLY] tender [PERIOD]
helpless [AND] beautiful [IMPLY] aggressive [PERIOD]
helpless [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] helpless [PERIOD]
tender [AND] tame [IMPLY] beautiful [PERIOD]
tender [IMPLY] helpless [PERIOD]
beautiful [AND] vivacious [IMPLY] helpless [PERIOD]
tame [AND] tender [AND] beautiful [IMPLY] bossy [PERIOD]
tender [AND] tame [AND] bossy [IMPLY] vivacious [PERIOD]
bossy [AND] aggressive [AND] helpless [IMPLY] vivacious [PERIOD]
bossy [AND] beautiful [AND] tender [IMPLY] tame [PERIOD]
tender [AND] vivacious [AND] tame [IMPLY] helpless [PERIOD]
bossy [IMPLY] beautiful [PERIOD]
tender [IMPLY] aggressive [PERIOD]
aggressive [AND] tender [AND] bossy [IMPLY] vivacious [PERIOD]
aggressive [AND] tame [AND] helpless [IMPLY] tender [PERIOD]
beautiful [AND] helpless [AND] tender [IMPLY] bossy [PERIOD]
tender [AND] bossy [IMPLY] helpless [PERIOD]
helpless [AND] vivacious [IMPLY] tender [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
   Cannot apply rule “tame ∧ helpless ⇒ aggressive” because missing: tame, helpless.
   Cannot apply rule “vivacious ∧ tender ∧ tame ⇒ aggressive” because missing: vivacious, tender, tame.
   Cannot apply rule “helpless ∧ beautiful ⇒ aggressive” because missing: helpless, beautiful.
   Cannot apply rule “helpless ⇒ aggressive” because missing: helpless.
   Cannot apply rule “tender ⇒ aggressive” because missing: tender.
",0,5
"Facts:  Alice is victorious [PERIOD]
Rules:
disobedient [AND] smart [IMPLY] clumsy [PERIOD]
victorious [AND] attentive [IMPLY] attractive [PERIOD]
disobedient [AND] gifted [IMPLY] attentive [PERIOD]
disobedient [AND] clumsy [IMPLY] polite [PERIOD]
attractive [AND] victorious [IMPLY] clumsy [PERIOD]
smart [AND] disobedient [IMPLY] difficult [PERIOD]
clumsy [IMPLY] exuberant [PERIOD]
victorious [AND] polite [IMPLY] gifted [PERIOD]
victorious [AND] attractive [IMPLY] difficult [PERIOD]
victorious [AND] gifted [AND] clumsy [IMPLY] difficult [PERIOD]
clumsy [AND] polite [AND] attractive [IMPLY] attentive [PERIOD]
attentive [AND] victorious [AND] gifted [IMPLY] polite [PERIOD]
attentive [IMPLY] clumsy [PERIOD]
clumsy [AND] difficult [IMPLY] attentive [PERIOD]
exuberant [AND] clumsy [IMPLY] attractive [PERIOD]
attentive [AND] victorious [AND] gifted [IMPLY] disobedient [PERIOD]
smart [IMPLY] polite [PERIOD]
attentive [AND] smart [IMPLY] polite [PERIOD]
gifted [IMPLY] disobedient [PERIOD]
clumsy [AND] smart [AND] gifted [IMPLY] attractive [PERIOD]
exuberant [AND] clumsy [IMPLY] victorious [PERIOD]
gifted [IMPLY] attractive [PERIOD]
gifted [AND] exuberant [IMPLY] polite [PERIOD]
smart [IMPLY] difficult [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   Cannot apply rule “disobedient ∧ clumsy ⇒ polite” because missing: disobedient, clumsy.
   Cannot apply rule “attentive ∧ victorious ∧ gifted ⇒ polite” because missing: attentive, gifted.
   Cannot apply rule “smart ⇒ polite” because missing: smart.
   Cannot apply rule “attentive ∧ smart ⇒ polite” because missing: attentive, smart.
   Cannot apply rule “gifted ∧ exuberant ⇒ polite” because missing: gifted, exuberant.
",0,5
"Facts:  Alice is frail [PERIOD] Alice is jittery [PERIOD]
Rules:
talented [IMPLY] gorgeous [PERIOD]
confident [IMPLY] impatient [PERIOD]
gorgeous [IMPLY] confident [PERIOD]
confident [IMPLY] gorgeous [PERIOD]
talented [AND] impatient [IMPLY] confident [PERIOD]
gorgeous [IMPLY] frail [PERIOD]
frail [AND] confident [IMPLY] talented [PERIOD]
impatient [AND] jittery [IMPLY] talented [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
   Cannot apply rule “frail ∧ confident ⇒ talented” because missing: confident.
   Cannot apply rule “impatient ∧ jittery ⇒ talented” because missing: impatient.
",0,2
"Facts:  Alice is bright [PERIOD] Alice is confused [PERIOD] Alice is famous [PERIOD] Alice is comfortable [PERIOD] Alice is modern [PERIOD] Alice is old-fashioned [PERIOD] Alice is elated [PERIOD] Alice is supportive [PERIOD]
Rules:
plain [AND] elated [IMPLY] modern [PERIOD]
old-fashioned [AND] tired [IMPLY] broad-minded [PERIOD]
innocent [IMPLY] uptight [PERIOD]
innocent [AND] uptight [IMPLY] modern [PERIOD]
exuberant [AND] tired [AND] bright [IMPLY] fine [PERIOD]
perfect [IMPLY] supportive [PERIOD]
uptight [IMPLY] tired [PERIOD]
frantic [AND] broad-minded [AND] old-fashioned [IMPLY] condemned [PERIOD]
famous [AND] perfect [AND] cooperative [IMPLY] supportive [PERIOD]
plain [AND] unpleasant [IMPLY] amused [PERIOD]
old-fashioned [AND] innocent [AND] amused [IMPLY] comfortable [PERIOD]
innocent [AND] troubled [AND] tired [IMPLY] fine [PERIOD]
broad-minded [AND] confused [IMPLY] helpless [PERIOD]
broad-minded [AND] elated [IMPLY] careless [PERIOD]
perfect [IMPLY] agreeable [PERIOD]
comfortable [IMPLY] unpleasant [PERIOD]
uptight [IMPLY] troubled [PERIOD]
supportive [AND] modern [AND] exuberant [IMPLY] unpleasant [PERIOD]
careless [AND] uptight [AND] amused [IMPLY] busy [PERIOD]
plain [AND] perfect [AND] cooperative [IMPLY] careless [PERIOD]
tired [AND] condemned [IMPLY] agreeable [PERIOD]
quaint [AND] broad-minded [AND] modern [IMPLY] confused [PERIOD]
elated [IMPLY] uptight [PERIOD]
careless [AND] tired [AND] troubled [IMPLY] broad-minded [PERIOD]
unpleasant [IMPLY] comfortable [PERIOD]
agreeable [AND] supportive [IMPLY] cooperative [PERIOD]
troubled [AND] perfect [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] uptight [PERIOD]
exuberant [IMPLY] cooperative [PERIOD]
old-fashioned [AND] elated [AND] amused [IMPLY] quaint [PERIOD]
cooperative [AND] busy [AND] bright [IMPLY] confused [PERIOD]
comfortable [AND] old-fashioned [IMPLY] exuberant [PERIOD]
careless [AND] bright [AND] tired [IMPLY] confused [PERIOD]
broad-minded [AND] agreeable [AND] supportive [IMPLY] elated [PERIOD]
agreeable [AND] condemned [IMPLY] supportive [PERIOD]
modern [AND] condemned [AND] troubled [IMPLY] comfortable [PERIOD]
tired [AND] frantic [AND] plain [IMPLY] helpless [PERIOD]
old-fashioned [AND] supportive [AND] condemned [IMPLY] quaint [PERIOD]
frantic [IMPLY] unpleasant [PERIOD]
troubled [AND] frantic [IMPLY] perfect [PERIOD]
innocent [AND] agreeable [IMPLY] old-fashioned [PERIOD]
quaint [AND] agreeable [AND] famous [IMPLY] helpless [PERIOD]
agreeable [IMPLY] supportive [PERIOD]
careless [AND] exuberant [AND] modern [IMPLY] tired [PERIOD]
comfortable [AND] helpless [AND] condemned [IMPLY] innocent [PERIOD]
broad-minded [AND] perfect [AND] amused [IMPLY] tired [PERIOD]
confused [IMPLY] troubled [PERIOD]
bright [IMPLY] modern [PERIOD]
plain [AND] perfect [AND] fine [IMPLY] confused [PERIOD]
uptight [AND] supportive [AND] innocent [IMPLY] agreeable [PERIOD]
plain [AND] frantic [IMPLY] fine [PERIOD]
bright [IMPLY] supportive [PERIOD]
tired [AND] agreeable [IMPLY] quaint [PERIOD]
Query: Alice is innocent [PERIOD]","Proof chain:
   elated ⇒ uptight
   uptight ⇒ tired
   old-fashioned ∧ tired ⇒ broad-minded
   broad-minded ∧ confused ⇒ helpless
   Cannot apply rule “comfortable ∧ helpless ∧ condemned ⇒ innocent” because missing: condemned.
",0,5
"Facts:  Alice is straightforward [PERIOD]
Rules:
distinct [IMPLY] foolish [PERIOD]
straightforward [AND] confused [IMPLY] sensible [PERIOD]
foolish [IMPLY] muddy [PERIOD]
muddy [AND] foolish [AND] adorable [IMPLY] distinct [PERIOD]
muddy [IMPLY] sleepy [PERIOD]
embarrassed [IMPLY] distinct [PERIOD]
muddy [AND] confused [IMPLY] embarrassed [PERIOD]
sensible [AND] careless [AND] foolish [IMPLY] muddy [PERIOD]
muddy [AND] straightforward [AND] adorable [IMPLY] embarrassed [PERIOD]
sensible [IMPLY] muddy [PERIOD]
careless [AND] muddy [AND] embarrassed [IMPLY] sleepy [PERIOD]
sensible [IMPLY] confused [PERIOD]
careless [AND] embarrassed [AND] muddy [IMPLY] foolish [PERIOD]
foolish [AND] straightforward [AND] confused [IMPLY] embarrassed [PERIOD]
distinct [AND] sensible [IMPLY] embarrassed [PERIOD]
adorable [IMPLY] embarrassed [PERIOD]
adorable [AND] sleepy [IMPLY] straightforward [PERIOD]
distinct [IMPLY] straightforward [PERIOD]
adorable [AND] foolish [IMPLY] embarrassed [PERIOD]
sensible [IMPLY] straightforward [PERIOD]
distinct [AND] adorable [AND] sensible [IMPLY] muddy [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   Cannot apply rule “muddy ∧ confused ⇒ embarrassed” because missing: muddy, confused.
   Cannot apply rule “muddy ∧ straightforward ∧ adorable ⇒ embarrassed” because missing: muddy, adorable.
   Cannot apply rule “foolish ∧ straightforward ∧ confused ⇒ embarrassed” because missing: foolish, confused.
   Cannot apply rule “distinct ∧ sensible ⇒ embarrassed” because missing: distinct, sensible.
   Cannot apply rule “adorable ⇒ embarrassed” because missing: adorable.
   Cannot apply rule “adorable ∧ foolish ⇒ embarrassed” because missing: adorable, foolish.
",0,6
"Facts:  Alice is attractive [PERIOD] Alice is ugly [PERIOD] Alice is precious [PERIOD]
Rules:
ugly [AND] precious [IMPLY] attractive [PERIOD]
attractive [IMPLY] ugly [PERIOD]
precious [AND] disobedient [AND] careless [IMPLY] attractive [PERIOD]
disobedient [AND] precious [AND] careless [IMPLY] ugly [PERIOD]
ugly [AND] careless [AND] precious [IMPLY] attractive [PERIOD]
ugly [AND] attractive [IMPLY] precious [PERIOD]
disobedient [AND] attractive [IMPLY] ugly [PERIOD]
disobedient [AND] careless [IMPLY] ugly [PERIOD]
disobedient [IMPLY] attractive [PERIOD]
careless [IMPLY] disobedient [PERIOD]
ugly [AND] attractive [AND] precious [IMPLY] disobedient [PERIOD]
careless [AND] precious [IMPLY] disobedient [PERIOD]
ugly [AND] precious [IMPLY] disobedient [PERIOD]
ugly [AND] disobedient [IMPLY] precious [PERIOD]
attractive [AND] ugly [AND] disobedient [IMPLY] careless [PERIOD]
attractive [IMPLY] precious [PERIOD]
disobedient [AND] precious [AND] attractive [IMPLY] ugly [PERIOD]
precious [IMPLY] ugly [PERIOD]
careless [IMPLY] ugly [PERIOD]
ugly [IMPLY] disobedient [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   ugly ∧ attractive ∧ precious ⇒ disobedient
   attractive ∧ ugly ∧ disobedient ⇒ careless
",1,2
"Facts:  Alice is weary [PERIOD] Alice is stupid [PERIOD] Alice is perfect [PERIOD]
Rules:
lonely [AND] bad-tempered [IMPLY] courageous [PERIOD]
courageous [IMPLY] good [PERIOD]
wandering [AND] pessimistic [AND] bright [IMPLY] exuberant [PERIOD]
pessimistic [AND] careless [IMPLY] pleasant [PERIOD]
grumpy [AND] wandering [AND] stupid [IMPLY] good [PERIOD]
clean [AND] sincere [IMPLY] hypocritical [PERIOD]
nervous [AND] lonely [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] intellectual [PERIOD]
hilarious [IMPLY] stupid [PERIOD]
pessimistic [AND] troubled [IMPLY] bright [PERIOD]
crowded [AND] nervous [IMPLY] intellectual [PERIOD]
reserved [IMPLY] grumpy [PERIOD]
clean [IMPLY] exuberant [PERIOD]
weary [AND] exuberant [AND] blushing [IMPLY] outstanding [PERIOD]
stupid [AND] nervous [IMPLY] wandering [PERIOD]
good [AND] pleasant [AND] reserved [IMPLY] perfect [PERIOD]
wandering [IMPLY] famous [PERIOD]
pleasant [IMPLY] crowded [PERIOD]
bad-tempered [AND] intellectual [AND] courageous [IMPLY] perfect [PERIOD]
wandering [AND] grumpy [IMPLY] perfect [PERIOD]
pessimistic [IMPLY] bored [PERIOD]
exuberant [AND] intellectual [IMPLY] bad-tempered [PERIOD]
hilarious [AND] clean [AND] careless [IMPLY] helpless [PERIOD]
blushing [AND] hilarious [IMPLY] good [PERIOD]
careless [IMPLY] famous [PERIOD]
exuberant [AND] hypocritical [AND] intellectual [IMPLY] troubled [PERIOD]
good [IMPLY] sincere [PERIOD]
pessimistic [AND] hypocritical [IMPLY] famous [PERIOD]
good [AND] nervous [AND] grumpy [IMPLY] reserved [PERIOD]
grumpy [AND] pleasant [IMPLY] reserved [PERIOD]
pleasant [IMPLY] careless [PERIOD]
nervous [AND] stupid [IMPLY] hypocritical [PERIOD]
reserved [AND] lonely [AND] grumpy [IMPLY] bright [PERIOD]
famous [IMPLY] reserved [PERIOD]
weary [IMPLY] reserved [PERIOD]
perfect [AND] grumpy [IMPLY] pleasant [PERIOD]
hilarious [IMPLY] sincere [PERIOD]
nervous [AND] good [IMPLY] wandering [PERIOD]
hilarious [AND] lonely [AND] courageous [IMPLY] exuberant [PERIOD]
helpless [AND] nervous [IMPLY] exuberant [PERIOD]
outstanding [AND] troubled [AND] lonely [IMPLY] hypocritical [PERIOD]
reserved [AND] wandering [AND] helpless [IMPLY] courageous [PERIOD]
clean [IMPLY] troubled [PERIOD]
troubled [AND] pleasant [AND] bored [IMPLY] good [PERIOD]
stupid [IMPLY] hilarious [PERIOD]
hypocritical [AND] helpless [IMPLY] stupid [PERIOD]
stupid [AND] famous [IMPLY] hypocritical [PERIOD]
grumpy [AND] stupid [IMPLY] blushing [PERIOD]
outstanding [AND] pessimistic [AND] courageous [IMPLY] reserved [PERIOD]
wandering [AND] bad-tempered [IMPLY] pleasant [PERIOD]
sincere [AND] hilarious [AND] clean [IMPLY] hypocritical [PERIOD]
hilarious [IMPLY] helpless [PERIOD]
careless [AND] pessimistic [IMPLY] lonely [PERIOD]
pessimistic [AND] weary [AND] careless [IMPLY] courageous [PERIOD]
good [AND] hypocritical [AND] bad-tempered [IMPLY] intellectual [PERIOD]
bored [AND] pleasant [IMPLY] nervous [PERIOD]
famous [AND] perfect [AND] blushing [IMPLY] stupid [PERIOD]
weary [AND] helpless [IMPLY] clean [PERIOD]
exuberant [IMPLY] pleasant [PERIOD]
courageous [AND] sincere [IMPLY] bright [PERIOD]
pleasant [AND] blushing [IMPLY] pessimistic [PERIOD]
weary [IMPLY] bored [PERIOD]
clean [IMPLY] outstanding [PERIOD]
famous [IMPLY] bright [PERIOD]
exuberant [AND] crowded [AND] bored [IMPLY] courageous [PERIOD]
wandering [AND] pleasant [AND] sincere [IMPLY] intellectual [PERIOD]
wandering [IMPLY] careless [PERIOD]
blushing [IMPLY] sincere [PERIOD]
careless [IMPLY] hilarious [PERIOD]
pessimistic [AND] helpless [IMPLY] sincere [PERIOD]
pleasant [AND] troubled [IMPLY] bad-tempered [PERIOD]
grumpy [AND] stupid [IMPLY] bored [PERIOD]
courageous [AND] crowded [AND] clean [IMPLY] sincere [PERIOD]
bored [AND] pessimistic [IMPLY] stupid [PERIOD]
sincere [AND] courageous [IMPLY] hypocritical [PERIOD]
intellectual [AND] perfect [AND] blushing [IMPLY] outstanding [PERIOD]
bad-tempered [IMPLY] nervous [PERIOD]
reserved [AND] bright [IMPLY] outstanding [PERIOD]
exuberant [IMPLY] famous [PERIOD]
grumpy [AND] bad-tempered [IMPLY] pessimistic [PERIOD]
crowded [AND] bad-tempered [IMPLY] bright [PERIOD]
exuberant [AND] bright [AND] sincere [IMPLY] nervous [PERIOD]
intellectual [IMPLY] famous [PERIOD]
hilarious [AND] courageous [IMPLY] bright [PERIOD]
hypocritical [AND] intellectual [IMPLY] famous [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   stupid ⇒ hilarious
   hilarious ⇒ helpless
   weary ∧ helpless ⇒ clean
   clean ⇒ troubled
",1,4
"Facts:  Alice is perfect [PERIOD] Alice is serious [PERIOD] Alice is glamorous [PERIOD] Alice is mean [PERIOD] Alice is selfish [PERIOD] Alice is quaint [PERIOD] Alice is muddy [PERIOD]
Rules:
stubborn [AND] perfect [IMPLY] shiny [PERIOD]
serious [AND] zealous [AND] jittery [IMPLY] popular [PERIOD]
careless [AND] worrisome [AND] weary [IMPLY] selfish [PERIOD]
popular [AND] worried [AND] serious [IMPLY] weary [PERIOD]
tender [AND] foolish [AND] popular [IMPLY] silly [PERIOD]
shiny [AND] serious [AND] victorious [IMPLY] thoughtless [PERIOD]
muddy [AND] hypocritical [AND] silly [IMPLY] different [PERIOD]
jittery [AND] weary [IMPLY] silly [PERIOD]
worried [AND] shiny [AND] foolish [IMPLY] victorious [PERIOD]
popular [AND] perfect [AND] hypocritical [IMPLY] different [PERIOD]
sleepy [AND] different [IMPLY] careless [PERIOD]
sleepy [AND] selfish [AND] mean [IMPLY] foolish [PERIOD]
different [IMPLY] popular [PERIOD]
mean [AND] zealous [IMPLY] muddy [PERIOD]
thoughtless [AND] serious [IMPLY] jittery [PERIOD]
sleepy [AND] shiny [AND] perfect [IMPLY] muddy [PERIOD]
wrong [IMPLY] serious [PERIOD]
tender [AND] silly [AND] shiny [IMPLY] hypocritical [PERIOD]
foolish [AND] glamorous [AND] worried [IMPLY] tidy [PERIOD]
quaint [AND] worrisome [IMPLY] weary [PERIOD]
jittery [IMPLY] thoughtless [PERIOD]
victorious [AND] hypocritical [AND] popular [IMPLY] shiny [PERIOD]
different [AND] silly [AND] sleepy [IMPLY] worrisome [PERIOD]
weary [AND] glamorous [IMPLY] shiny [PERIOD]
muddy [AND] shiny [AND] serious [IMPLY] wrong [PERIOD]
jittery [AND] zealous [AND] careless [IMPLY] perfect [PERIOD]
silly [AND] perfect [IMPLY] weary [PERIOD]
mean [IMPLY] worried [PERIOD]
wrong [AND] weary [AND] mean [IMPLY] silly [PERIOD]
foolish [AND] hypocritical [AND] mean [IMPLY] shiny [PERIOD]
thoughtless [IMPLY] serious [PERIOD]
worrisome [AND] selfish [IMPLY] quaint [PERIOD]
sleepy [AND] perfect [AND] selfish [IMPLY] different [PERIOD]
sleepy [AND] mean [IMPLY] wrong [PERIOD]
different [IMPLY] muddy [PERIOD]
glamorous [AND] perfect [IMPLY] zealous [PERIOD]
sleepy [IMPLY] zealous [PERIOD]
careless [IMPLY] muddy [PERIOD]
shiny [AND] sleepy [AND] perfect [IMPLY] tidy [PERIOD]
perfect [IMPLY] jittery [PERIOD]
jittery [AND] mean [AND] tender [IMPLY] hypocritical [PERIOD]
quaint [AND] glamorous [AND] tender [IMPLY] worrisome [PERIOD]
perfect [IMPLY] popular [PERIOD]
selfish [AND] thoughtless [IMPLY] tender [PERIOD]
glamorous [AND] tender [IMPLY] worried [PERIOD]
glamorous [IMPLY] selfish [PERIOD]
selfish [AND] silly [AND] jittery [IMPLY] shiny [PERIOD]
perfect [AND] stubborn [AND] wrong [IMPLY] tender [PERIOD]
weary [IMPLY] muddy [PERIOD]
foolish [IMPLY] quaint [PERIOD]
silly [AND] hypocritical [AND] thoughtless [IMPLY] mean [PERIOD]
tidy [AND] hypocritical [IMPLY] victorious [PERIOD]
careless [AND] selfish [IMPLY] jittery [PERIOD]
weary [AND] zealous [IMPLY] worried [PERIOD]
tender [IMPLY] perfect [PERIOD]
glamorous [IMPLY] careless [PERIOD]
stubborn [AND] tender [IMPLY] quaint [PERIOD]
quaint [AND] thoughtless [IMPLY] selfish [PERIOD]
muddy [IMPLY] worrisome [PERIOD]
jittery [AND] careless [AND] glamorous [IMPLY] sleepy [PERIOD]
hypocritical [IMPLY] quaint [PERIOD]
worried [IMPLY] muddy [PERIOD]
perfect [IMPLY] silly [PERIOD]
different [AND] thoughtless [IMPLY] silly [PERIOD]
zealous [IMPLY] wrong [PERIOD]
different [IMPLY] silly [PERIOD]
zealous [IMPLY] foolish [PERIOD]
mean [AND] thoughtless [IMPLY] weary [PERIOD]
careless [AND] quaint [AND] mean [IMPLY] glamorous [PERIOD]
silly [AND] victorious [AND] different [IMPLY] tender [PERIOD]
mean [IMPLY] jittery [PERIOD]
weary [AND] wrong [IMPLY] mean [PERIOD]
popular [IMPLY] victorious [PERIOD]
sleepy [AND] quaint [AND] worried [IMPLY] different [PERIOD]
glamorous [AND] zealous [IMPLY] jittery [PERIOD]
weary [AND] silly [AND] perfect [IMPLY] popular [PERIOD]
wrong [AND] tidy [IMPLY] careless [PERIOD]
selfish [AND] muddy [IMPLY] mean [PERIOD]
hypocritical [AND] worrisome [AND] weary [IMPLY] sleepy [PERIOD]
worried [AND] different [AND] selfish [IMPLY] tender [PERIOD]
foolish [AND] sleepy [IMPLY] selfish [PERIOD]
serious [IMPLY] shiny [PERIOD]
different [AND] thoughtless [AND] hypocritical [IMPLY] selfish [PERIOD]
weary [AND] wrong [AND] serious [IMPLY] selfish [PERIOD]
tidy [AND] wrong [AND] different [IMPLY] foolish [PERIOD]
thoughtless [AND] jittery [IMPLY] worrisome [PERIOD]
foolish [AND] tender [AND] quaint [IMPLY] shiny [PERIOD]
stubborn [AND] quaint [AND] perfect [IMPLY] tidy [PERIOD]
tender [AND] tidy [IMPLY] victorious [PERIOD]
silly [AND] thoughtless [AND] zealous [IMPLY] glamorous [PERIOD]
hypocritical [IMPLY] different [PERIOD]
different [AND] quaint [IMPLY] tidy [PERIOD]
popular [IMPLY] worried [PERIOD]
tender [AND] tidy [AND] thoughtless [IMPLY] worried [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   glamorous ∧ perfect ⇒ zealous
   zealous ⇒ foolish
   mean ⇒ worried
   foolish ∧ glamorous ∧ worried ⇒ tidy
",1,4
"Facts:  Alice is loving [PERIOD]
Rules:
victorious [AND] strange [AND] pleasant [IMPLY] jittery [PERIOD]
thoughtless [IMPLY] strange [PERIOD]
thoughtless [AND] diplomatic [IMPLY] comfortable [PERIOD]
unpleasant [AND] light [AND] famous [IMPLY] loving [PERIOD]
good [AND] famous [AND] adorable [IMPLY] excited [PERIOD]
excited [AND] adorable [IMPLY] strange [PERIOD]
thoughtful [AND] helpful [AND] adorable [IMPLY] clumsy [PERIOD]
messy [IMPLY] famous [PERIOD]
courageous [AND] victorious [IMPLY] agreeable [PERIOD]
thoughtful [AND] excited [AND] worrisome [IMPLY] messy [PERIOD]
clumsy [IMPLY] loving [PERIOD]
thoughtless [IMPLY] ugliest [PERIOD]
thoughtful [AND] loving [AND] unpleasant [IMPLY] clean [PERIOD]
good [AND] worrisome [IMPLY] excited [PERIOD]
worrisome [AND] good [AND] light [IMPLY] agreeable [PERIOD]
thoughtless [AND] excited [AND] diplomatic [IMPLY] pleasant [PERIOD]
loving [IMPLY] helpful [PERIOD]
excited [AND] disgusted [AND] famous [IMPLY] victorious [PERIOD]
clumsy [IMPLY] messy [PERIOD]
clean [AND] comfortable [AND] diplomatic [IMPLY] victorious [PERIOD]
courageous [AND] victorious [IMPLY] unpleasant [PERIOD]
jittery [AND] good [IMPLY] worrisome [PERIOD]
victorious [AND] diplomatic [IMPLY] unpleasant [PERIOD]
strange [IMPLY] victorious [PERIOD]
famous [IMPLY] clumsy [PERIOD]
helpful [AND] good [AND] unpleasant [IMPLY] victorious [PERIOD]
worrisome [AND] messy [IMPLY] famous [PERIOD]
unpleasant [AND] thoughtful [AND] good [IMPLY] strange [PERIOD]
thoughtless [IMPLY] victorious [PERIOD]
jittery [IMPLY] pleasant [PERIOD]
messy [IMPLY] pleasant [PERIOD]
messy [IMPLY] light [PERIOD]
disgusted [AND] famous [IMPLY] agreeable [PERIOD]
thoughtful [IMPLY] disgusted [PERIOD]
clumsy [AND] jittery [AND] disgusted [IMPLY] agreeable [PERIOD]
excited [IMPLY] strange [PERIOD]
unpleasant [IMPLY] loving [PERIOD]
thoughtless [IMPLY] disgusted [PERIOD]
jittery [AND] worrisome [AND] ugliest [IMPLY] strange [PERIOD]
adorable [AND] ugliest [IMPLY] agreeable [PERIOD]
light [AND] messy [IMPLY] unpleasant [PERIOD]
excited [IMPLY] jittery [PERIOD]
pleasant [AND] excited [AND] loving [IMPLY] agreeable [PERIOD]
jittery [AND] disgusted [IMPLY] strange [PERIOD]
clumsy [AND] light [AND] famous [IMPLY] unpleasant [PERIOD]
jittery [IMPLY] ugliest [PERIOD]
adorable [AND] comfortable [IMPLY] ugliest [PERIOD]
unpleasant [IMPLY] helpful [PERIOD]
jittery [AND] light [IMPLY] clumsy [PERIOD]
agreeable [IMPLY] disgusted [PERIOD]
worrisome [AND] messy [AND] thoughtful [IMPLY] clumsy [PERIOD]
agreeable [AND] loving [AND] light [IMPLY] thoughtful [PERIOD]
victorious [AND] diplomatic [IMPLY] helpful [PERIOD]
thoughtless [IMPLY] jittery [PERIOD]
courageous [IMPLY] ugliest [PERIOD]
disgusted [AND] good [AND] unpleasant [IMPLY] pleasant [PERIOD]
ugliest [AND] thoughtless [AND] jittery [IMPLY] famous [PERIOD]
unpleasant [AND] excited [IMPLY] thoughtless [PERIOD]
clumsy [AND] excited [AND] strange [IMPLY] adorable [PERIOD]
diplomatic [AND] thoughtless [IMPLY] courageous [PERIOD]
comfortable [IMPLY] clean [PERIOD]
worrisome [IMPLY] disgusted [PERIOD]
clumsy [AND] victorious [AND] famous [IMPLY] light [PERIOD]
disgusted [AND] excited [AND] thoughtless [IMPLY] clean [PERIOD]
thoughtful [AND] good [IMPLY] thoughtless [PERIOD]
victorious [AND] famous [AND] clumsy [IMPLY] pleasant [PERIOD]
light [AND] pleasant [IMPLY] excited [PERIOD]
ugliest [AND] jittery [IMPLY] disgusted [PERIOD]
worrisome [AND] disgusted [AND] loving [IMPLY] unpleasant [PERIOD]
disgusted [AND] strange [AND] ugliest [IMPLY] pleasant [PERIOD]
clumsy [AND] victorious [AND] comfortable [IMPLY] excited [PERIOD]
ugliest [IMPLY] adorable [PERIOD]
excited [AND] unpleasant [AND] courageous [IMPLY] diplomatic [PERIOD]
clumsy [IMPLY] victorious [PERIOD]
famous [AND] adorable [AND] messy [IMPLY] loving [PERIOD]
good [IMPLY] jittery [PERIOD]
famous [AND] thoughtless [AND] victorious [IMPLY] jittery [PERIOD]
strange [IMPLY] thoughtless [PERIOD]
disgusted [AND] adorable [IMPLY] good [PERIOD]
thoughtful [AND] jittery [IMPLY] light [PERIOD]
good [IMPLY] loving [PERIOD]
thoughtful [AND] jittery [AND] worrisome [IMPLY] loving [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   Cannot apply rule “excited ∧ disgusted ∧ famous ⇒ victorious” because missing: excited, disgusted, famous.
   Cannot apply rule “clean ∧ comfortable ∧ diplomatic ⇒ victorious” because missing: clean, comfortable, diplomatic.
   Cannot apply rule “strange ⇒ victorious” because missing: strange.
   loving ⇒ helpful
   Cannot apply rule “helpful ∧ good ∧ unpleasant ⇒ victorious” because missing: good, unpleasant.
   Cannot apply rule “thoughtless ⇒ victorious” because missing: thoughtless.
   Cannot apply rule “clumsy ⇒ victorious” because missing: clumsy.
",0,7
"Facts:  Alice is cooperative [PERIOD] Alice is outrageous [PERIOD]
Rules:
sleepy [AND] plain [IMPLY] loving [PERIOD]
pleasant [IMPLY] selfish [PERIOD]
cooperative [IMPLY] light [PERIOD]
outrageous [AND] helpless [IMPLY] light [PERIOD]
helpless [IMPLY] stubborn [PERIOD]
plain [AND] friendly [IMPLY] sleepy [PERIOD]
rude [AND] helpful [IMPLY] loving [PERIOD]
outrageous [IMPLY] inexpensive [PERIOD]
sleepy [IMPLY] light [PERIOD]
helpful [AND] helpless [IMPLY] rude [PERIOD]
outrageous [AND] loving [IMPLY] inquisitive [PERIOD]
friendly [AND] supportive [IMPLY] loving [PERIOD]
inquisitive [AND] inexpensive [AND] plain [IMPLY] strange [PERIOD]
inquisitive [IMPLY] helpless [PERIOD]
inquisitive [AND] outrageous [IMPLY] inexpensive [PERIOD]
rude [AND] helpful [IMPLY] friendly [PERIOD]
strange [AND] loving [AND] friendly [IMPLY] light [PERIOD]
inquisitive [AND] cooperative [IMPLY] stubborn [PERIOD]
helpless [AND] friendly [IMPLY] sleepy [PERIOD]
inquisitive [AND] rude [IMPLY] sleepy [PERIOD]
cooperative [AND] supportive [IMPLY] stubborn [PERIOD]
helpless [AND] plain [AND] rude [IMPLY] inexpensive [PERIOD]
selfish [AND] cooperative [AND] inexpensive [IMPLY] stubborn [PERIOD]
inquisitive [AND] helpless [IMPLY] friendly [PERIOD]
strange [IMPLY] rude [PERIOD]
plain [AND] friendly [IMPLY] inquisitive [PERIOD]
stubborn [AND] helpful [IMPLY] supportive [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   Cannot apply rule “helpless ⇒ stubborn” because missing: helpless.
   Cannot apply rule “inquisitive ∧ cooperative ⇒ stubborn” because missing: inquisitive.
   Cannot apply rule “cooperative ∧ supportive ⇒ stubborn” because missing: supportive.
   outrageous ⇒ inexpensive
   Cannot apply rule “selfish ∧ cooperative ∧ inexpensive ⇒ stubborn” because missing: selfish.
",0,5
"Facts:  Alice is reserved [PERIOD] Alice is hurt [PERIOD] Alice is gifted [PERIOD] Alice is nervous [PERIOD] Alice is inexpensive [PERIOD] Alice is blushing [PERIOD] Alice is innocent [PERIOD]
Rules:
reserved [AND] gifted [AND] friendly [IMPLY] proud [PERIOD]
disgusted [AND] proud [IMPLY] tired [PERIOD]
tired [IMPLY] gifted [PERIOD]
dishonest [AND] lucky [IMPLY] inexpensive [PERIOD]
gifted [AND] dishonest [IMPLY] reserved [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is excited [PERIOD] Alice is innocent [PERIOD] Alice is grumpy [PERIOD] Alice is disobedient [PERIOD] Alice is diplomatic [PERIOD] Alice is amused [PERIOD] Alice is confused [PERIOD] Alice is proud [PERIOD] Alice is stupid [PERIOD]
Rules:
tame [AND] spotless [AND] lonely [IMPLY] distinct [PERIOD]
grumpy [AND] lonely [AND] innocent [IMPLY] spotless [PERIOD]
scared [AND] helpful [IMPLY] frightened [PERIOD]
scared [IMPLY] disobedient [PERIOD]
helpful [IMPLY] proud [PERIOD]
tame [IMPLY] lonely [PERIOD]
spotless [AND] distinct [IMPLY] worried [PERIOD]
diplomatic [AND] disobedient [AND] scared [IMPLY] helpful [PERIOD]
worried [AND] spotless [AND] elegant [IMPLY] proud [PERIOD]
worried [AND] amused [AND] grumpy [IMPLY] scared [PERIOD]
disobedient [AND] confused [AND] excited [IMPLY] distinct [PERIOD]
confused [IMPLY] diplomatic [PERIOD]
confused [AND] worried [IMPLY] distinct [PERIOD]
diplomatic [IMPLY] tame [PERIOD]
excited [AND] lonely [AND] helpful [IMPLY] elegant [PERIOD]
stupid [IMPLY] grumpy [PERIOD]
condemned [AND] amused [IMPLY] distinct [PERIOD]
proud [AND] disobedient [IMPLY] distinct [PERIOD]
scared [AND] helpful [IMPLY] distinct [PERIOD]
lonely [AND] proud [IMPLY] helpful [PERIOD]
excited [AND] amused [AND] grumpy [IMPLY] confused [PERIOD]
diplomatic [AND] worried [IMPLY] tame [PERIOD]
spotless [AND] helpful [AND] proud [IMPLY] grumpy [PERIOD]
amused [AND] lonely [AND] confused [IMPLY] condemned [PERIOD]
scared [AND] disobedient [AND] condemned [IMPLY] diplomatic [PERIOD]
plain [AND] amused [IMPLY] spotless [PERIOD]
confused [AND] frightened [AND] spotless [IMPLY] disobedient [PERIOD]
helpful [AND] excited [IMPLY] grumpy [PERIOD]
scared [AND] plain [IMPLY] stupid [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
   diplomatic ⇒ tame
   tame ⇒ lonely
   grumpy ∧ lonely ∧ innocent ⇒ spotless
   disobedient ∧ confused ∧ excited ⇒ distinct
   spotless ∧ distinct ⇒ worried
",1,5
"Facts:  Alice is lonely [PERIOD]
Rules:
wide-eyed [AND] combative [IMPLY] precious [PERIOD]
wide-eyed [IMPLY] lonely [PERIOD]
tender [IMPLY] clumsy [PERIOD]
wide-eyed [AND] innocent [AND] serious [IMPLY] shy [PERIOD]
precious [AND] anxious [AND] lonely [IMPLY] tender [PERIOD]
tender [AND] combative [IMPLY] innocent [PERIOD]
lonely [AND] tidy [IMPLY] inquisitive [PERIOD]
precious [AND] tame [IMPLY] clumsy [PERIOD]
clumsy [AND] inquisitive [IMPLY] tidy [PERIOD]
precious [AND] combative [AND] anxious [IMPLY] tidy [PERIOD]
lonely [AND] inquisitive [IMPLY] clumsy [PERIOD]
serious [AND] lonely [AND] tender [IMPLY] tame [PERIOD]
serious [AND] shy [IMPLY] precious [PERIOD]
tame [AND] clumsy [IMPLY] combative [PERIOD]
tidy [AND] precious [AND] wide-eyed [IMPLY] innocent [PERIOD]
innocent [AND] combative [IMPLY] wide-eyed [PERIOD]
shy [IMPLY] anxious [PERIOD]
shy [AND] serious [IMPLY] clumsy [PERIOD]
combative [AND] inquisitive [IMPLY] wide-eyed [PERIOD]
tender [IMPLY] anxious [PERIOD]
shy [IMPLY] wide-eyed [PERIOD]
tame [AND] tender [AND] serious [IMPLY] lonely [PERIOD]
tender [AND] innocent [AND] clumsy [IMPLY] wide-eyed [PERIOD]
precious [AND] tender [IMPLY] clumsy [PERIOD]
anxious [AND] precious [AND] serious [IMPLY] combative [PERIOD]
combative [IMPLY] inquisitive [PERIOD]
innocent [IMPLY] shy [PERIOD]
innocent [AND] tender [IMPLY] shy [PERIOD]
tidy [IMPLY] clumsy [PERIOD]
tame [AND] tender [AND] precious [IMPLY] innocent [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   Cannot apply rule “tame ∧ clumsy ⇒ combative” because missing: tame, clumsy.
   Cannot apply rule “anxious ∧ precious ∧ serious ⇒ combative” because missing: anxious, precious, serious.
",0,2
"Facts:  Alice is frail [PERIOD] Alice is bossy [PERIOD]
Rules:
stupid [AND] frail [IMPLY] ugliest [PERIOD]
homely [IMPLY] cruel [PERIOD]
homely [AND] frail [AND] hilarious [IMPLY] reserved [PERIOD]
cruel [AND] tired [IMPLY] stupid [PERIOD]
bossy [AND] ugliest [IMPLY] reserved [PERIOD]
bossy [IMPLY] cruel [PERIOD]
stupid [IMPLY] ugliest [PERIOD]
cruel [AND] reserved [AND] frail [IMPLY] ugliest [PERIOD]
frail [IMPLY] stupid [PERIOD]
frail [AND] hilarious [IMPLY] stupid [PERIOD]
tired [IMPLY] hilarious [PERIOD]
average [AND] ugliest [AND] frail [IMPLY] hilarious [PERIOD]
reserved [AND] bossy [AND] homely [IMPLY] hilarious [PERIOD]
frail [AND] ugliest [IMPLY] hilarious [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   frail ⇒ stupid
   stupid ∧ frail ⇒ ugliest
   frail ∧ ugliest ⇒ hilarious
",1,3
"Facts:  Alice is clumsy [PERIOD] Alice is precious [PERIOD] Alice is difficult [PERIOD]
Rules:
innocent [AND] clean [IMPLY] wide-eyed [PERIOD]
rude [AND] difficult [IMPLY] clean [PERIOD]
rude [IMPLY] wide-eyed [PERIOD]
bright [AND] rude [AND] clumsy [IMPLY] precious [PERIOD]
attentive [AND] innocent [IMPLY] precious [PERIOD]
bright [AND] difficult [AND] troubled [IMPLY] wide-eyed [PERIOD]
intellectual [IMPLY] rude [PERIOD]
difficult [AND] wide-eyed [AND] clean [IMPLY] clumsy [PERIOD]
precious [AND] rude [AND] troubled [IMPLY] difficult [PERIOD]
troubled [IMPLY] precious [PERIOD]
troubled [AND] rude [AND] intellectual [IMPLY] clumsy [PERIOD]
troubled [AND] clumsy [AND] rude [IMPLY] wide-eyed [PERIOD]
clumsy [AND] rude [AND] wrong [IMPLY] clean [PERIOD]
wrong [IMPLY] precious [PERIOD]
difficult [AND] wrong [AND] intellectual [IMPLY] clumsy [PERIOD]
innocent [IMPLY] bright [PERIOD]
difficult [IMPLY] bright [PERIOD]
precious [IMPLY] innocent [PERIOD]
attentive [AND] troubled [AND] wrong [IMPLY] innocent [PERIOD]
difficult [AND] wide-eyed [AND] troubled [IMPLY] precious [PERIOD]
troubled [AND] attentive [AND] bright [IMPLY] wrong [PERIOD]
bright [AND] troubled [IMPLY] intellectual [PERIOD]
wrong [AND] clean [IMPLY] attentive [PERIOD]
attentive [AND] wrong [IMPLY] rude [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   precious ⇒ innocent
   Cannot apply rule “innocent ∧ clean ⇒ wide-eyed” because missing: clean.
   Cannot apply rule “rude ⇒ wide-eyed” because missing: rude.
   difficult ⇒ bright
   Cannot apply rule “bright ∧ difficult ∧ troubled ⇒ wide-eyed” because missing: troubled.
   Cannot apply rule “troubled ∧ clumsy ∧ rude ⇒ wide-eyed” because missing: troubled, rude.
",0,6
"Facts:  Alice is nervous [PERIOD]
Rules:
curious [AND] worried [IMPLY] light [PERIOD]
worried [IMPLY] curious [PERIOD]
vivacious [AND] stupid [AND] exuberant [IMPLY] joyous [PERIOD]
exuberant [IMPLY] disobedient [PERIOD]
inquisitive [IMPLY] wide-eyed [PERIOD]
agreeable [AND] bossy [IMPLY] vivacious [PERIOD]
rude [AND] light [IMPLY] wide-eyed [PERIOD]
curious [AND] disobedient [AND] gleaming [IMPLY] light [PERIOD]
helpless [AND] stupid [AND] light [IMPLY] rude [PERIOD]
agreeable [AND] attentive [AND] helpless [IMPLY] hypocritical [PERIOD]
wide-eyed [IMPLY] plain [PERIOD]
hypocritical [IMPLY] rude [PERIOD]
wrong [IMPLY] plain [PERIOD]
inquisitive [AND] hypocritical [AND] helpless [IMPLY] light [PERIOD]
exuberant [AND] wide-eyed [IMPLY] joyous [PERIOD]
inquisitive [AND] agreeable [AND] bossy [IMPLY] hypocritical [PERIOD]
agreeable [AND] worried [AND] hypocritical [IMPLY] exuberant [PERIOD]
horrible [AND] wide-eyed [AND] disobedient [IMPLY] nervous [PERIOD]
plain [IMPLY] light [PERIOD]
curious [AND] disobedient [IMPLY] wide-eyed [PERIOD]
inquisitive [AND] plain [IMPLY] vivacious [PERIOD]
joyous [IMPLY] attentive [PERIOD]
nervous [AND] light [IMPLY] rude [PERIOD]
joyous [AND] stupid [AND] disobedient [IMPLY] inquisitive [PERIOD]
bossy [IMPLY] wrong [PERIOD]
agreeable [IMPLY] rude [PERIOD]
curious [AND] vivacious [IMPLY] wide-eyed [PERIOD]
light [AND] worried [AND] attentive [IMPLY] agreeable [PERIOD]
joyous [AND] exuberant [AND] inquisitive [IMPLY] disobedient [PERIOD]
disobedient [AND] vivacious [IMPLY] agreeable [PERIOD]
vivacious [AND] exuberant [IMPLY] plain [PERIOD]
worried [AND] gleaming [AND] wrong [IMPLY] horrible [PERIOD]
agreeable [IMPLY] wrong [PERIOD]
gleaming [IMPLY] hypocritical [PERIOD]
horrible [IMPLY] worried [PERIOD]
agreeable [AND] horrible [IMPLY] helpless [PERIOD]
light [IMPLY] joyous [PERIOD]
light [AND] rude [AND] gleaming [IMPLY] curious [PERIOD]
exuberant [IMPLY] agreeable [PERIOD]
rude [IMPLY] stupid [PERIOD]
gleaming [AND] bossy [AND] attentive [IMPLY] horrible [PERIOD]
horrible [AND] attentive [AND] worried [IMPLY] joyous [PERIOD]
inquisitive [IMPLY] attentive [PERIOD]
rude [AND] attentive [IMPLY] nervous [PERIOD]
curious [AND] wide-eyed [AND] attentive [IMPLY] helpless [PERIOD]
joyous [AND] curious [IMPLY] helpless [PERIOD]
hypocritical [AND] bossy [AND] rude [IMPLY] disobedient [PERIOD]
attentive [AND] worried [AND] light [IMPLY] stupid [PERIOD]
joyous [AND] vivacious [AND] helpless [IMPLY] inquisitive [PERIOD]
bossy [AND] wrong [AND] curious [IMPLY] vivacious [PERIOD]
joyous [AND] plain [IMPLY] helpless [PERIOD]
horrible [AND] hypocritical [AND] exuberant [IMPLY] disobedient [PERIOD]
exuberant [AND] horrible [IMPLY] light [PERIOD]
helpless [AND] wrong [IMPLY] agreeable [PERIOD]
light [AND] rude [AND] wrong [IMPLY] plain [PERIOD]
rude [AND] stupid [AND] joyous [IMPLY] bossy [PERIOD]
wide-eyed [AND] stupid [AND] worried [IMPLY] bossy [PERIOD]
disobedient [IMPLY] agreeable [PERIOD]
nervous [AND] exuberant [IMPLY] hypocritical [PERIOD]
exuberant [AND] worried [AND] light [IMPLY] wide-eyed [PERIOD]
attentive [IMPLY] vivacious [PERIOD]
vivacious [AND] gleaming [AND] joyous [IMPLY] helpless [PERIOD]
plain [IMPLY] vivacious [PERIOD]
wide-eyed [AND] light [IMPLY] curious [PERIOD]
inquisitive [AND] wide-eyed [IMPLY] nervous [PERIOD]
disobedient [AND] inquisitive [AND] worried [IMPLY] bossy [PERIOD]
light [IMPLY] exuberant [PERIOD]
horrible [IMPLY] inquisitive [PERIOD]
attentive [AND] exuberant [AND] hypocritical [IMPLY] worried [PERIOD]
light [AND] wrong [IMPLY] rude [PERIOD]
worried [AND] disobedient [IMPLY] nervous [PERIOD]
plain [AND] helpless [AND] stupid [IMPLY] wrong [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   Cannot apply rule “agreeable ∧ horrible ⇒ helpless” because missing: agreeable, horrible.
   Cannot apply rule “curious ∧ wide-eyed ∧ attentive ⇒ helpless” because missing: curious, wide-eyed, attentive.
   Cannot apply rule “joyous ∧ curious ⇒ helpless” because missing: joyous, curious.
   Cannot apply rule “joyous ∧ plain ⇒ helpless” because missing: joyous, plain.
   Cannot apply rule “vivacious ∧ gleaming ∧ joyous ⇒ helpless” because missing: vivacious, gleaming, joyous.
",0,5
"Facts: 
Rules:
uptight [AND] calm [IMPLY] victorious [PERIOD]
outstanding [IMPLY] stormy [PERIOD]
stormy [AND] worrisome [AND] thoughtless [IMPLY] uptight [PERIOD]
victorious [IMPLY] thoughtless [PERIOD]
calm [IMPLY] worrisome [PERIOD]
outstanding [AND] victorious [IMPLY] old-fashioned [PERIOD]
outstanding [AND] victorious [IMPLY] thoughtless [PERIOD]
wide-eyed [AND] calm [IMPLY] worrisome [PERIOD]
uptight [AND] stormy [AND] calm [IMPLY] victorious [PERIOD]
uptight [IMPLY] worrisome [PERIOD]
victorious [IMPLY] wide-eyed [PERIOD]
victorious [AND] wide-eyed [IMPLY] outstanding [PERIOD]
uptight [IMPLY] victorious [PERIOD]
worrisome [IMPLY] outstanding [PERIOD]
old-fashioned [IMPLY] outstanding [PERIOD]
thoughtless [AND] victorious [IMPLY] uptight [PERIOD]
uptight [AND] worrisome [IMPLY] stormy [PERIOD]
wide-eyed [AND] uptight [AND] stormy [IMPLY] victorious [PERIOD]
thoughtless [IMPLY] worrisome [PERIOD]
calm [AND] old-fashioned [AND] worrisome [IMPLY] uptight [PERIOD]
uptight [AND] thoughtless [IMPLY] wide-eyed [PERIOD]
outstanding [IMPLY] victorious [PERIOD]
old-fashioned [AND] stormy [IMPLY] wide-eyed [PERIOD]
calm [IMPLY] outstanding [PERIOD]
thoughtless [AND] stormy [AND] victorious [IMPLY] worrisome [PERIOD]
victorious [AND] calm [AND] worrisome [IMPLY] wide-eyed [PERIOD]
thoughtless [AND] stormy [AND] outstanding [IMPLY] wide-eyed [PERIOD]
thoughtless [AND] calm [AND] old-fashioned [IMPLY] stormy [PERIOD]
victorious [AND] worrisome [AND] uptight [IMPLY] old-fashioned [PERIOD]
uptight [AND] stormy [AND] wide-eyed [IMPLY] old-fashioned [PERIOD]
victorious [IMPLY] stormy [PERIOD]
uptight [AND] worrisome [IMPLY] outstanding [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   Cannot apply rule “victorious ∧ wide-eyed ⇒ outstanding” because missing: victorious, wide-eyed.
   Cannot apply rule “worrisome ⇒ outstanding” because missing: worrisome.
   Cannot apply rule “old-fashioned ⇒ outstanding” because missing: old-fashioned.
   Cannot apply rule “calm ⇒ outstanding” because missing: calm.
   Cannot apply rule “uptight ∧ worrisome ⇒ outstanding” because missing: uptight, worrisome.
",0,5
"Facts:  Alice is muddy [PERIOD] Alice is different [PERIOD] Alice is thoughtful [PERIOD] Alice is outstanding [PERIOD] Alice is weary [PERIOD] Alice is easy [PERIOD] Alice is old-fashioned [PERIOD] Alice is difficult [PERIOD] Alice is cute [PERIOD] Alice is serious [PERIOD] Alice is straightforward [PERIOD] Alice is jittery [PERIOD] Alice is troubled [PERIOD]
Rules:
bright [IMPLY] mysterious [PERIOD]
perfect [IMPLY] serious [PERIOD]
busy [AND] talkative [AND] muddy [IMPLY] glamorous [PERIOD]
straightforward [AND] stormy [AND] wrong [IMPLY] dishonest [PERIOD]
straightforward [AND] glamorous [IMPLY] muddy [PERIOD]
bright [IMPLY] busy [PERIOD]
stormy [AND] jittery [IMPLY] different [PERIOD]
rational [AND] dishonest [AND] thoughtful [IMPLY] serious [PERIOD]
dishonest [AND] different [AND] muddy [IMPLY] perfect [PERIOD]
shy [IMPLY] muddy [PERIOD]
average [AND] serious [AND] rational [IMPLY] dishonest [PERIOD]
glamorous [AND] shy [IMPLY] serious [PERIOD]
tidy [AND] shy [IMPLY] old-fashioned [PERIOD]
different [AND] thoughtful [IMPLY] glamorous [PERIOD]
rational [AND] outstanding [IMPLY] pessimistic [PERIOD]
jittery [AND] wrong [IMPLY] average [PERIOD]
cute [AND] mysterious [IMPLY] weary [PERIOD]
dishonest [IMPLY] outstanding [PERIOD]
easy [IMPLY] straightforward [PERIOD]
elegant [AND] weary [IMPLY] shy [PERIOD]
stormy [AND] perfect [IMPLY] average [PERIOD]
weary [IMPLY] serious [PERIOD]
glamorous [IMPLY] troubled [PERIOD]
average [IMPLY] difficult [PERIOD]
tidy [AND] difficult [IMPLY] weary [PERIOD]
tidy [IMPLY] outstanding [PERIOD]
glamorous [AND] tidy [IMPLY] shy [PERIOD]
pessimistic [AND] easy [AND] weary [IMPLY] thoughtful [PERIOD]
talkative [AND] cute [AND] stormy [IMPLY] busy [PERIOD]
outstanding [IMPLY] perfect [PERIOD]
troubled [IMPLY] wrong [PERIOD]
stormy [AND] perfect [IMPLY] old-fashioned [PERIOD]
tidy [AND] pessimistic [AND] jittery [IMPLY] straightforward [PERIOD]
pessimistic [IMPLY] average [PERIOD]
tidy [IMPLY] busy [PERIOD]
difficult [AND] muddy [AND] mysterious [IMPLY] outstanding [PERIOD]
elegant [AND] bright [AND] perfect [IMPLY] tidy [PERIOD]
old-fashioned [AND] troubled [AND] straightforward [IMPLY] bright [PERIOD]
stormy [IMPLY] busy [PERIOD]
serious [AND] straightforward [IMPLY] easy [PERIOD]
jittery [AND] glamorous [AND] outstanding [IMPLY] rational [PERIOD]
muddy [IMPLY] talkative [PERIOD]
perfect [AND] talkative [AND] glamorous [IMPLY] busy [PERIOD]
different [AND] old-fashioned [IMPLY] shy [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   troubled ⇒ wrong
   jittery ∧ wrong ⇒ average
   different ∧ thoughtful ⇒ glamorous
   jittery ∧ glamorous ∧ outstanding ⇒ rational
   average ∧ serious ∧ rational ⇒ dishonest
",1,5
"Facts:  Alice is helpful [PERIOD]
Rules:
alert [IMPLY] fragile [PERIOD]
jittery [AND] cruel [IMPLY] agreeable [PERIOD]
bored [AND] innocent [AND] inquisitive [IMPLY] outrageous [PERIOD]
jittery [IMPLY] alert [PERIOD]
helpful [IMPLY] wrong [PERIOD]
wide-eyed [AND] cruel [IMPLY] wrong [PERIOD]
scared [IMPLY] cruel [PERIOD]
cooperative [AND] long [IMPLY] alert [PERIOD]
outstanding [IMPLY] rude [PERIOD]
famous [AND] tidy [IMPLY] helpful [PERIOD]
attentive [AND] jittery [IMPLY] wide-eyed [PERIOD]
bored [AND] innocent [IMPLY] helpful [PERIOD]
helpful [AND] wrong [IMPLY] cooperative [PERIOD]
friendly [AND] famous [IMPLY] cruel [PERIOD]
innocent [IMPLY] combative [PERIOD]
alert [AND] inquisitive [IMPLY] cruel [PERIOD]
inquisitive [AND] bored [IMPLY] attentive [PERIOD]
inexpensive [AND] rude [AND] fragile [IMPLY] dishonest [PERIOD]
wide-eyed [AND] rude [AND] wrong [IMPLY] helpful [PERIOD]
scared [IMPLY] fragile [PERIOD]
sensible [AND] quaint [AND] fine [IMPLY] bored [PERIOD]
fine [AND] combative [AND] inexpensive [IMPLY] vivacious [PERIOD]
sensible [AND] outstanding [IMPLY] famous [PERIOD]
wide-eyed [AND] frightened [AND] tidy [IMPLY] wrong [PERIOD]
combative [IMPLY] helpful [PERIOD]
dishonest [IMPLY] quaint [PERIOD]
helpful [AND] fragile [AND] jittery [IMPLY] outstanding [PERIOD]
jittery [AND] scared [AND] helpful [IMPLY] outstanding [PERIOD]
sensible [AND] vivacious [IMPLY] long [PERIOD]
inexpensive [IMPLY] vivacious [PERIOD]
wide-eyed [IMPLY] wrong [PERIOD]
outstanding [IMPLY] wrong [PERIOD]
agreeable [IMPLY] innocent [PERIOD]
alert [AND] fine [IMPLY] inexpensive [PERIOD]
rude [AND] fragile [AND] tidy [IMPLY] weary [PERIOD]
friendly [AND] fine [IMPLY] outrageous [PERIOD]
sensible [AND] wide-eyed [AND] tidy [IMPLY] inexpensive [PERIOD]
scared [AND] innocent [IMPLY] rude [PERIOD]
famous [IMPLY] outrageous [PERIOD]
quaint [AND] inexpensive [IMPLY] attentive [PERIOD]
friendly [AND] dishonest [AND] fine [IMPLY] quaint [PERIOD]
vivacious [AND] combative [AND] helpful [IMPLY] wrong [PERIOD]
scared [IMPLY] friendly [PERIOD]
rude [AND] inquisitive [AND] alert [IMPLY] outstanding [PERIOD]
wide-eyed [AND] cooperative [IMPLY] vivacious [PERIOD]
outrageous [AND] jittery [AND] vivacious [IMPLY] outstanding [PERIOD]
vivacious [IMPLY] scared [PERIOD]
outstanding [IMPLY] cruel [PERIOD]
cruel [IMPLY] helpful [PERIOD]
innocent [IMPLY] dishonest [PERIOD]
fine [AND] rude [AND] dishonest [IMPLY] quaint [PERIOD]
innocent [IMPLY] wrong [PERIOD]
weary [AND] dishonest [IMPLY] agreeable [PERIOD]
scared [AND] friendly [IMPLY] weary [PERIOD]
tidy [AND] fragile [AND] weary [IMPLY] cooperative [PERIOD]
frightened [AND] inquisitive [IMPLY] helpful [PERIOD]
inexpensive [AND] jittery [IMPLY] outrageous [PERIOD]
outstanding [AND] wrong [AND] inexpensive [IMPLY] long [PERIOD]
dishonest [IMPLY] tidy [PERIOD]
inexpensive [IMPLY] weary [PERIOD]
outstanding [AND] quaint [AND] famous [IMPLY] bored [PERIOD]
scared [AND] inquisitive [AND] innocent [IMPLY] combative [PERIOD]
inexpensive [IMPLY] alert [PERIOD]
jittery [AND] wide-eyed [AND] innocent [IMPLY] alert [PERIOD]
agreeable [AND] scared [IMPLY] rude [PERIOD]
wide-eyed [AND] fine [AND] long [IMPLY] alert [PERIOD]
wrong [AND] outstanding [AND] vivacious [IMPLY] cruel [PERIOD]
fragile [AND] friendly [IMPLY] attentive [PERIOD]
innocent [AND] tidy [AND] alert [IMPLY] wide-eyed [PERIOD]
attentive [AND] sensible [IMPLY] dishonest [PERIOD]
combative [IMPLY] cruel [PERIOD]
jittery [AND] outrageous [AND] combative [IMPLY] inquisitive [PERIOD]
famous [AND] dishonest [IMPLY] rude [PERIOD]
alert [IMPLY] combative [PERIOD]
dishonest [AND] bored [AND] fine [IMPLY] agreeable [PERIOD]
sensible [AND] agreeable [AND] innocent [IMPLY] bored [PERIOD]
outstanding [AND] combative [IMPLY] inexpensive [PERIOD]
jittery [IMPLY] vivacious [PERIOD]
quaint [IMPLY] attentive [PERIOD]
bored [AND] rude [AND] inexpensive [IMPLY] weary [PERIOD]
cruel [AND] attentive [IMPLY] alert [PERIOD]
frightened [IMPLY] tidy [PERIOD]
frightened [AND] weary [IMPLY] outstanding [PERIOD]
friendly [AND] bored [AND] wide-eyed [IMPLY] frightened [PERIOD]
agreeable [AND] jittery [AND] inexpensive [IMPLY] innocent [PERIOD]
bored [AND] jittery [AND] quaint [IMPLY] sensible [PERIOD]
cruel [AND] quaint [AND] famous [IMPLY] friendly [PERIOD]
helpful [AND] agreeable [AND] famous [IMPLY] inquisitive [PERIOD]
sensible [AND] frightened [IMPLY] rude [PERIOD]
inexpensive [IMPLY] cruel [PERIOD]
tidy [AND] combative [AND] cruel [IMPLY] inquisitive [PERIOD]
friendly [IMPLY] combative [PERIOD]
quaint [AND] cooperative [IMPLY] weary [PERIOD]
famous [AND] dishonest [IMPLY] fine [PERIOD]
combative [IMPLY] famous [PERIOD]
cooperative [AND] fragile [IMPLY] quaint [PERIOD]
innocent [AND] cooperative [AND] long [IMPLY] fine [PERIOD]
weary [IMPLY] helpful [PERIOD]
cruel [AND] wrong [AND] frightened [IMPLY] scared [PERIOD]
jittery [AND] outrageous [IMPLY] outstanding [PERIOD]
innocent [AND] combative [AND] tidy [IMPLY] quaint [PERIOD]
innocent [AND] attentive [AND] dishonest [IMPLY] outrageous [PERIOD]
helpful [IMPLY] outstanding [PERIOD]
sensible [AND] long [AND] rude [IMPLY] cruel [PERIOD]
wrong [AND] vivacious [AND] fragile [IMPLY] alert [PERIOD]
vivacious [AND] innocent [AND] jittery [IMPLY] inexpensive [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   Cannot apply rule “alert ∧ fine ⇒ inexpensive” because missing: alert, fine.
   Cannot apply rule “sensible ∧ wide-eyed ∧ tidy ⇒ inexpensive” because missing: sensible, wide-eyed, tidy.
   helpful ⇒ outstanding
   Cannot apply rule “outstanding ∧ combative ⇒ inexpensive” because missing: combative.
   Cannot apply rule “vivacious ∧ innocent ∧ jittery ⇒ inexpensive” because missing: vivacious, innocent, jittery.
",0,5
"Facts:  Alice is bright [PERIOD]
Rules:
quaint [AND] ugly [AND] cooperative [IMPLY] long [PERIOD]
sincere [AND] bright [IMPLY] thoughtful [PERIOD]
grumpy [AND] attractive [AND] quaint [IMPLY] sincere [PERIOD]
strange [AND] smart [IMPLY] long [PERIOD]
cooperative [AND] glamorous [AND] vivacious [IMPLY] ugly [PERIOD]
bright [AND] troubled [IMPLY] scared [PERIOD]
troubled [AND] thoughtful [IMPLY] sincere [PERIOD]
glamorous [IMPLY] cooperative [PERIOD]
tidy [AND] glamorous [IMPLY] bad-tempered [PERIOD]
excited [AND] exuberant [AND] rude [IMPLY] smart [PERIOD]
lucky [AND] ugly [AND] troubled [IMPLY] bright [PERIOD]
vivacious [AND] polite [IMPLY] sincere [PERIOD]
polite [AND] smart [AND] excited [IMPLY] troubled [PERIOD]
ambitious [AND] lonely [IMPLY] sincere [PERIOD]
attractive [AND] cooperative [AND] helpful [IMPLY] troubled [PERIOD]
polite [IMPLY] cooperative [PERIOD]
popular [AND] exuberant [IMPLY] smart [PERIOD]
lucky [AND] bright [IMPLY] long [PERIOD]
excited [AND] tidy [IMPLY] lucky [PERIOD]
helpful [IMPLY] bright [PERIOD]
long [AND] exuberant [AND] lucky [IMPLY] thoughtful [PERIOD]
bright [AND] tidy [IMPLY] strange [PERIOD]
helpful [AND] glamorous [AND] ambitious [IMPLY] long [PERIOD]
scared [IMPLY] troubled [PERIOD]
polite [AND] shiny [IMPLY] scared [PERIOD]
strange [AND] smart [IMPLY] hilarious [PERIOD]
grumpy [AND] troubled [IMPLY] long [PERIOD]
hilarious [IMPLY] ambitious [PERIOD]
strange [IMPLY] diplomatic [PERIOD]
ambitious [IMPLY] ugly [PERIOD]
tidy [IMPLY] polite [PERIOD]
sincere [AND] polite [IMPLY] hilarious [PERIOD]
vivacious [AND] tidy [AND] glamorous [IMPLY] lucky [PERIOD]
troubled [AND] diplomatic [IMPLY] vivacious [PERIOD]
ambitious [AND] lonely [AND] popular [IMPLY] hilarious [PERIOD]
grumpy [AND] bright [IMPLY] scared [PERIOD]
attractive [IMPLY] troubled [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   No rule concludes “shiny.”
",0,1
"Facts:  Alice is serious [PERIOD] Alice is joyous [PERIOD] Alice is wandering [PERIOD] Alice is hilarious [PERIOD] Alice is tired [PERIOD]
Rules:
fearless [AND] wandering [AND] disgusted [IMPLY] impatient [PERIOD]
worrisome [AND] long [AND] fancy [IMPLY] serious [PERIOD]
wandering [AND] frightened [AND] hilarious [IMPLY] jittery [PERIOD]
tired [AND] worried [AND] jittery [IMPLY] loving [PERIOD]
dishonest [AND] frightened [IMPLY] joyous [PERIOD]
bright [AND] attractive [IMPLY] serious [PERIOD]
worrisome [AND] fearless [IMPLY] worried [PERIOD]
tired [IMPLY] disgusted [PERIOD]
fancy [IMPLY] light [PERIOD]
dishonest [AND] tired [AND] impatient [IMPLY] disgusted [PERIOD]
stormy [AND] impartial [AND] joyous [IMPLY] proud [PERIOD]
tame [AND] easy [IMPLY] worried [PERIOD]
light [IMPLY] tame [PERIOD]
easy [AND] long [AND] fancy [IMPLY] bright [PERIOD]
fearless [IMPLY] tired [PERIOD]
jittery [IMPLY] proud [PERIOD]
loving [AND] tame [IMPLY] worrisome [PERIOD]
disgusted [AND] easy [IMPLY] fancy [PERIOD]
bright [AND] joyous [AND] wandering [IMPLY] combative [PERIOD]
proud [IMPLY] attractive [PERIOD]
stormy [AND] jittery [IMPLY] long [PERIOD]
fearless [AND] worried [IMPLY] combative [PERIOD]
light [AND] impartial [AND] disgusted [IMPLY] dishonest [PERIOD]
tired [AND] impartial [IMPLY] hilarious [PERIOD]
fancy [AND] impatient [AND] serious [IMPLY] long [PERIOD]
jittery [AND] fancy [IMPLY] tired [PERIOD]
tame [IMPLY] impartial [PERIOD]
impatient [AND] wandering [IMPLY] combative [PERIOD]
stormy [AND] frightened [IMPLY] attractive [PERIOD]
impartial [AND] attractive [AND] hilarious [IMPLY] disgusted [PERIOD]
combative [AND] dishonest [AND] bright [IMPLY] tired [PERIOD]
combative [AND] impartial [AND] attractive [IMPLY] stormy [PERIOD]
bright [AND] dishonest [IMPLY] jittery [PERIOD]
tame [AND] joyous [IMPLY] loving [PERIOD]
hilarious [AND] tame [IMPLY] combative [PERIOD]
bright [AND] tame [AND] frightened [IMPLY] serious [PERIOD]
bright [AND] worrisome [IMPLY] loving [PERIOD]
worrisome [AND] hilarious [AND] disgusted [IMPLY] attractive [PERIOD]
easy [IMPLY] loving [PERIOD]
worrisome [AND] light [IMPLY] frightened [PERIOD]
stormy [AND] easy [IMPLY] wandering [PERIOD]
bright [AND] loving [AND] impartial [IMPLY] tired [PERIOD]
worried [IMPLY] bright [PERIOD]
fancy [IMPLY] tired [PERIOD]
impartial [AND] attractive [IMPLY] combative [PERIOD]
disgusted [IMPLY] bright [PERIOD]
light [AND] tired [AND] worrisome [IMPLY] serious [PERIOD]
wandering [AND] combative [IMPLY] stormy [PERIOD]
worrisome [AND] easy [AND] jittery [IMPLY] impatient [PERIOD]
wandering [AND] fearless [IMPLY] combative [PERIOD]
stormy [AND] bright [IMPLY] worrisome [PERIOD]
frightened [IMPLY] tame [PERIOD]
tired [AND] jittery [IMPLY] dishonest [PERIOD]
jittery [IMPLY] joyous [PERIOD]
stormy [IMPLY] hilarious [PERIOD]
combative [IMPLY] worrisome [PERIOD]
combative [AND] attractive [IMPLY] stormy [PERIOD]
joyous [IMPLY] attractive [PERIOD]
attractive [AND] dishonest [IMPLY] fancy [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   tired ⇒ disgusted
   disgusted ⇒ bright
   tired ⇒ disgusted
   disgusted ⇒ bright
   bright ∧ joyous ∧ wandering ⇒ combative
   combative ⇒ worrisome
   bright ∧ worrisome ⇒ loving
",1,7
"Facts:  Alice is wrong [PERIOD]
Rules:
disgusted [AND] lonely [IMPLY] helpful [PERIOD]
busy [AND] wrong [AND] frail [IMPLY] diplomatic [PERIOD]
stupid [AND] stubborn [IMPLY] average [PERIOD]
disgusted [IMPLY] glamorous [PERIOD]
frail [IMPLY] light [PERIOD]
busy [AND] wide-eyed [IMPLY] frail [PERIOD]
frail [IMPLY] wrong [PERIOD]
gifted [AND] stupid [AND] frail [IMPLY] helpful [PERIOD]
gifted [AND] careless [IMPLY] bright [PERIOD]
careless [AND] inexpensive [IMPLY] different [PERIOD]
confident [AND] witty [AND] wide-eyed [IMPLY] bright [PERIOD]
stupid [AND] busy [AND] aggressive [IMPLY] careless [PERIOD]
exuberant [AND] aggressive [IMPLY] friendly [PERIOD]
exuberant [AND] witty [IMPLY] crowded [PERIOD]
glamorous [IMPLY] frail [PERIOD]
wide-eyed [IMPLY] lonely [PERIOD]
sensible [AND] glamorous [IMPLY] naughty [PERIOD]
light [IMPLY] busy [PERIOD]
average [AND] glamorous [IMPLY] lonely [PERIOD]
crowded [AND] wrong [IMPLY] exuberant [PERIOD]
agreeable [AND] confident [IMPLY] diplomatic [PERIOD]
different [AND] sensible [IMPLY] light [PERIOD]
light [AND] exuberant [IMPLY] friendly [PERIOD]
wrong [IMPLY] friendly [PERIOD]
average [IMPLY] careless [PERIOD]
aggressive [AND] light [AND] diplomatic [IMPLY] crowded [PERIOD]
confident [AND] naughty [AND] disgusted [IMPLY] fancy [PERIOD]
wide-eyed [AND] busy [IMPLY] stupid [PERIOD]
glamorous [AND] helpful [AND] elegant [IMPLY] friendly [PERIOD]
glamorous [IMPLY] different [PERIOD]
frail [AND] aggressive [AND] fancy [IMPLY] average [PERIOD]
agreeable [IMPLY] stubborn [PERIOD]
fancy [AND] busy [AND] careless [IMPLY] witty [PERIOD]
friendly [IMPLY] average [PERIOD]
average [AND] different [IMPLY] busy [PERIOD]
bright [AND] agreeable [IMPLY] gifted [PERIOD]
light [AND] bright [IMPLY] diplomatic [PERIOD]
agreeable [IMPLY] light [PERIOD]
wide-eyed [IMPLY] exuberant [PERIOD]
witty [IMPLY] fancy [PERIOD]
stubborn [IMPLY] disgusted [PERIOD]
sensible [IMPLY] witty [PERIOD]
stubborn [IMPLY] sensible [PERIOD]
aggressive [IMPLY] crowded [PERIOD]
different [AND] frail [AND] average [IMPLY] inexpensive [PERIOD]
careless [AND] light [AND] elegant [IMPLY] diplomatic [PERIOD]
wide-eyed [AND] wrong [IMPLY] busy [PERIOD]
aggressive [AND] frail [AND] stubborn [IMPLY] busy [PERIOD]
wrong [IMPLY] different [PERIOD]
disgusted [IMPLY] crowded [PERIOD]
friendly [AND] confident [AND] gifted [IMPLY] stubborn [PERIOD]
helpful [IMPLY] witty [PERIOD]
helpful [IMPLY] sensible [PERIOD]
different [AND] friendly [AND] stubborn [IMPLY] wrong [PERIOD]
lonely [IMPLY] frail [PERIOD]
average [IMPLY] elegant [PERIOD]
aggressive [AND] bright [AND] agreeable [IMPLY] stupid [PERIOD]
wide-eyed [AND] disgusted [IMPLY] light [PERIOD]
wide-eyed [IMPLY] busy [PERIOD]
exuberant [AND] wrong [AND] different [IMPLY] crowded [PERIOD]
bright [IMPLY] busy [PERIOD]
careless [IMPLY] lonely [PERIOD]
fancy [AND] light [AND] aggressive [IMPLY] helpful [PERIOD]
light [AND] gifted [AND] frail [IMPLY] different [PERIOD]
busy [AND] friendly [IMPLY] lonely [PERIOD]
sensible [IMPLY] elegant [PERIOD]
stupid [AND] lonely [IMPLY] confident [PERIOD]
fancy [AND] confident [IMPLY] average [PERIOD]
careless [AND] witty [AND] confident [IMPLY] stubborn [PERIOD]
elegant [IMPLY] average [PERIOD]
helpful [AND] sensible [AND] light [IMPLY] lonely [PERIOD]
inexpensive [AND] friendly [IMPLY] agreeable [PERIOD]
naughty [AND] light [AND] helpful [IMPLY] bright [PERIOD]
friendly [AND] stubborn [AND] wide-eyed [IMPLY] light [PERIOD]
friendly [AND] careless [AND] bright [IMPLY] disgusted [PERIOD]
wrong [AND] helpful [IMPLY] exuberant [PERIOD]
stubborn [AND] gifted [IMPLY] busy [PERIOD]
wide-eyed [AND] elegant [IMPLY] exuberant [PERIOD]
careless [AND] aggressive [IMPLY] agreeable [PERIOD]
lonely [AND] elegant [IMPLY] friendly [PERIOD]
diplomatic [AND] bright [IMPLY] frail [PERIOD]
helpful [AND] crowded [AND] careless [IMPLY] wrong [PERIOD]
bright [IMPLY] light [PERIOD]
busy [IMPLY] friendly [PERIOD]
bright [AND] disgusted [IMPLY] naughty [PERIOD]
wide-eyed [IMPLY] sensible [PERIOD]
exuberant [AND] light [IMPLY] sensible [PERIOD]
inexpensive [AND] bright [IMPLY] frail [PERIOD]
elegant [AND] busy [AND] different [IMPLY] stupid [PERIOD]
confident [AND] aggressive [IMPLY] lonely [PERIOD]
disgusted [IMPLY] confident [PERIOD]
lonely [AND] different [IMPLY] agreeable [PERIOD]
glamorous [AND] different [AND] sensible [IMPLY] wide-eyed [PERIOD]
witty [IMPLY] wide-eyed [PERIOD]
average [AND] aggressive [AND] light [IMPLY] witty [PERIOD]
naughty [AND] stubborn [IMPLY] disgusted [PERIOD]
agreeable [AND] exuberant [IMPLY] gifted [PERIOD]
bright [AND] aggressive [IMPLY] gifted [PERIOD]
helpful [AND] busy [AND] average [IMPLY] wide-eyed [PERIOD]
confident [AND] sensible [AND] average [IMPLY] stupid [PERIOD]
glamorous [AND] helpful [IMPLY] gifted [PERIOD]
lonely [AND] careless [IMPLY] gifted [PERIOD]
naughty [AND] friendly [AND] elegant [IMPLY] frail [PERIOD]
witty [IMPLY] bright [PERIOD]
elegant [AND] naughty [IMPLY] agreeable [PERIOD]
stubborn [AND] exuberant [IMPLY] fancy [PERIOD]
average [AND] elegant [IMPLY] confident [PERIOD]
average [AND] wide-eyed [IMPLY] witty [PERIOD]
fancy [IMPLY] diplomatic [PERIOD]
stubborn [AND] bright [IMPLY] elegant [PERIOD]
wrong [IMPLY] witty [PERIOD]
careless [IMPLY] sensible [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   wrong ⇒ witty
   witty ⇒ wide-eyed
   wrong ⇒ friendly
   friendly ⇒ average
   wrong ⇒ different
   average ∧ different ⇒ busy
   wide-eyed ∧ busy ⇒ stupid
",1,7
"Facts:  Alice is hypocritical [PERIOD] Alice is attentive [PERIOD] Alice is confident [PERIOD] Alice is witty [PERIOD] Alice is hilarious [PERIOD] Alice is versatile [PERIOD] Alice is fine [PERIOD] Alice is tense [PERIOD] Alice is hurt [PERIOD] Alice is talkative [PERIOD] Alice is adorable [PERIOD]
Rules:
impartial [AND] witty [IMPLY] horrible [PERIOD]
popular [AND] versatile [AND] talkative [IMPLY] tense [PERIOD]
impartial [AND] nervous [IMPLY] tense [PERIOD]
witty [AND] dull [IMPLY] good [PERIOD]
messy [AND] victorious [AND] fine [IMPLY] confident [PERIOD]
mean [AND] dull [IMPLY] adorable [PERIOD]
bad-tempered [IMPLY] talkative [PERIOD]
tense [IMPLY] popular [PERIOD]
hurt [IMPLY] witty [PERIOD]
victorious [IMPLY] witty [PERIOD]
messy [AND] talkative [IMPLY] impatient [PERIOD]
confident [AND] messy [IMPLY] tense [PERIOD]
bad-tempered [AND] impartial [IMPLY] confident [PERIOD]
hilarious [AND] tense [AND] adorable [IMPLY] nervous [PERIOD]
versatile [AND] witty [AND] talkative [IMPLY] mean [PERIOD]
impatient [AND] versatile [AND] bad-tempered [IMPLY] good [PERIOD]
tense [IMPLY] impatient [PERIOD]
witty [AND] versatile [AND] bad-tempered [IMPLY] nervous [PERIOD]
versatile [AND] fine [IMPLY] witty [PERIOD]
confident [AND] attentive [AND] witty [IMPLY] fine [PERIOD]
versatile [AND] confident [IMPLY] hurt [PERIOD]
impartial [AND] versatile [AND] homely [IMPLY] horrible [PERIOD]
tense [AND] hilarious [IMPLY] victorious [PERIOD]
adorable [AND] talkative [IMPLY] witty [PERIOD]
tense [IMPLY] fine [PERIOD]
witty [IMPLY] adorable [PERIOD]
adorable [AND] mean [AND] dull [IMPLY] horrible [PERIOD]
confident [AND] talkative [IMPLY] horrible [PERIOD]
horrible [AND] tense [AND] victorious [IMPLY] hypocritical [PERIOD]
versatile [AND] hypocritical [AND] victorious [IMPLY] witty [PERIOD]
confident [AND] good [IMPLY] witty [PERIOD]
popular [IMPLY] mean [PERIOD]
impatient [AND] versatile [AND] homely [IMPLY] victorious [PERIOD]
mean [AND] good [IMPLY] impartial [PERIOD]
talkative [AND] confident [IMPLY] adorable [PERIOD]
mean [IMPLY] impatient [PERIOD]
nervous [AND] homely [AND] popular [IMPLY] victorious [PERIOD]
impatient [IMPLY] nervous [PERIOD]
fine [IMPLY] victorious [PERIOD]
hilarious [AND] adorable [IMPLY] dull [PERIOD]
witty [IMPLY] fine [PERIOD]
confident [AND] good [AND] adorable [IMPLY] hilarious [PERIOD]
talkative [IMPLY] confident [PERIOD]
hilarious [IMPLY] mean [PERIOD]
messy [IMPLY] talkative [PERIOD]
adorable [AND] hypocritical [IMPLY] talkative [PERIOD]
popular [AND] hurt [IMPLY] witty [PERIOD]
horrible [IMPLY] talkative [PERIOD]
hurt [AND] bad-tempered [IMPLY] mean [PERIOD]
bad-tempered [AND] messy [AND] hurt [IMPLY] nervous [PERIOD]
versatile [AND] bad-tempered [AND] horrible [IMPLY] nervous [PERIOD]
witty [AND] victorious [AND] adorable [IMPLY] tense [PERIOD]
attentive [AND] good [IMPLY] homely [PERIOD]
bad-tempered [AND] dull [AND] nervous [IMPLY] attentive [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   hilarious ⇒ mean
   hilarious ∧ adorable ⇒ dull
   witty ∧ dull ⇒ good
   mean ∧ good ⇒ impartial
",1,4
"Facts:  Alice is worrisome [PERIOD] Alice is grumpy [PERIOD] Alice is enchanting [PERIOD] Alice is smart [PERIOD] Alice is proud [PERIOD] Alice is attractive [PERIOD] Alice is easy [PERIOD] Alice is excited [PERIOD] Alice is condemned [PERIOD] Alice is gleaming [PERIOD] Alice is witty [PERIOD] Alice is polite [PERIOD] Alice is bored [PERIOD] Alice is sleepy [PERIOD] Alice is broad-minded [PERIOD] Alice is pleasant [PERIOD] Alice is distinct [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
gleaming [AND] beautiful [IMPLY] bored [PERIOD]
condemned [IMPLY] smart [PERIOD]
bored [AND] sensible [AND] distinct [IMPLY] enchanting [PERIOD]
beautiful [AND] worrisome [IMPLY] old-fashioned [PERIOD]
different [IMPLY] grumpy [PERIOD]
gleaming [IMPLY] mysterious [PERIOD]
enchanting [AND] condemned [AND] different [IMPLY] pleasant [PERIOD]
enchanting [IMPLY] condemned [PERIOD]
sincere [IMPLY] polite [PERIOD]
witty [AND] enchanting [IMPLY] beautiful [PERIOD]
distinct [AND] sensible [IMPLY] old-fashioned [PERIOD]
attractive [AND] hurt [IMPLY] mysterious [PERIOD]
gleaming [IMPLY] bored [PERIOD]
distinct [AND] sensible [IMPLY] worrisome [PERIOD]
broad-minded [AND] hurt [IMPLY] condemned [PERIOD]
polite [AND] sleepy [IMPLY] hurt [PERIOD]
hurt [AND] beautiful [AND] old-fashioned [IMPLY] distinct [PERIOD]
condemned [AND] hurt [IMPLY] enchanting [PERIOD]
gleaming [AND] polite [AND] smart [IMPLY] proud [PERIOD]
proud [IMPLY] easy [PERIOD]
pleasant [IMPLY] worrisome [PERIOD]
pleasant [IMPLY] attractive [PERIOD]
condemned [IMPLY] sincere [PERIOD]
hurt [AND] bored [IMPLY] stubborn [PERIOD]
worrisome [AND] enchanting [AND] grumpy [IMPLY] bored [PERIOD]
distinct [AND] pleasant [IMPLY] old-fashioned [PERIOD]
stubborn [IMPLY] broad-minded [PERIOD]
broad-minded [AND] sleepy [AND] polite [IMPLY] elated [PERIOD]
easy [AND] sincere [AND] sensible [IMPLY] smart [PERIOD]
beautiful [AND] distinct [AND] mysterious [IMPLY] easy [PERIOD]
broad-minded [IMPLY] stubborn [PERIOD]
mysterious [IMPLY] old-fashioned [PERIOD]
enchanting [AND] gleaming [IMPLY] excited [PERIOD]
hurt [AND] sincere [AND] sensible [IMPLY] enchanting [PERIOD]
beautiful [AND] worrisome [IMPLY] stubborn [PERIOD]
sleepy [AND] sincere [IMPLY] hurt [PERIOD]
grumpy [IMPLY] sincere [PERIOD]
worrisome [IMPLY] bored [PERIOD]
mysterious [AND] hurt [AND] easy [IMPLY] bored [PERIOD]
broad-minded [IMPLY] worrisome [PERIOD]
gleaming [AND] easy [IMPLY] elated [PERIOD]
broad-minded [AND] hurt [AND] beautiful [IMPLY] enchanting [PERIOD]
pleasant [IMPLY] sleepy [PERIOD]
old-fashioned [IMPLY] stubborn [PERIOD]
sensible [AND] mysterious [IMPLY] condemned [PERIOD]
stubborn [AND] proud [AND] sensible [IMPLY] sleepy [PERIOD]
beautiful [AND] attractive [AND] different [IMPLY] excited [PERIOD]
easy [IMPLY] pleasant [PERIOD]
sensible [IMPLY] different [PERIOD]
enchanting [IMPLY] hurt [PERIOD]
hurt [AND] sleepy [AND] worrisome [IMPLY] polite [PERIOD]
elated [IMPLY] broad-minded [PERIOD]
bored [IMPLY] beautiful [PERIOD]
witty [AND] enchanting [AND] elated [IMPLY] smart [PERIOD]
worrisome [IMPLY] sensible [PERIOD]
mysterious [IMPLY] condemned [PERIOD]
worrisome [IMPLY] excited [PERIOD]
broad-minded [AND] attractive [AND] pleasant [IMPLY] polite [PERIOD]
sleepy [AND] distinct [AND] sincere [IMPLY] elated [PERIOD]
beautiful [AND] polite [AND] grumpy [IMPLY] attractive [PERIOD]
stubborn [AND] smart [IMPLY] gleaming [PERIOD]
stubborn [IMPLY] elated [PERIOD]
proud [AND] stubborn [AND] broad-minded [IMPLY] enchanting [PERIOD]
excited [IMPLY] sleepy [PERIOD]
condemned [AND] hurt [IMPLY] excited [PERIOD]
elated [IMPLY] beautiful [PERIOD]
polite [AND] condemned [AND] easy [IMPLY] mysterious [PERIOD]
excited [AND] different [IMPLY] distinct [PERIOD]
stubborn [AND] enchanting [AND] witty [IMPLY] condemned [PERIOD]
mysterious [IMPLY] stubborn [PERIOD]
smart [AND] gleaming [AND] bored [IMPLY] worrisome [PERIOD]
mysterious [AND] beautiful [IMPLY] sincere [PERIOD]
different [IMPLY] sincere [PERIOD]
beautiful [IMPLY] sensible [PERIOD]
sincere [IMPLY] excited [PERIOD]
sleepy [IMPLY] sincere [PERIOD]
hurt [AND] different [AND] worrisome [IMPLY] excited [PERIOD]
polite [AND] broad-minded [AND] pleasant [IMPLY] easy [PERIOD]
smart [AND] sensible [IMPLY] pleasant [PERIOD]
stubborn [IMPLY] smart [PERIOD]
condemned [AND] sleepy [IMPLY] polite [PERIOD]
mysterious [AND] condemned [AND] smart [IMPLY] different [PERIOD]
polite [AND] pleasant [IMPLY] sensible [PERIOD]
witty [AND] beautiful [AND] gleaming [IMPLY] broad-minded [PERIOD]
bored [AND] proud [AND] elated [IMPLY] hurt [PERIOD]
different [AND] bored [IMPLY] proud [PERIOD]
broad-minded [AND] mysterious [IMPLY] easy [PERIOD]
pleasant [IMPLY] hurt [PERIOD]
easy [AND] sensible [AND] worrisome [IMPLY] different [PERIOD]
excited [AND] enchanting [AND] beautiful [IMPLY] witty [PERIOD]
mysterious [AND] elated [IMPLY] proud [PERIOD]
enchanting [IMPLY] attractive [PERIOD]
sensible [AND] stubborn [IMPLY] witty [PERIOD]
sincere [IMPLY] condemned [PERIOD]
different [AND] smart [AND] old-fashioned [IMPLY] sensible [PERIOD]
worrisome [AND] attractive [AND] condemned [IMPLY] pleasant [PERIOD]
hurt [IMPLY] stubborn [PERIOD]
pleasant [AND] proud [IMPLY] broad-minded [PERIOD]
condemned [IMPLY] polite [PERIOD]
bored [AND] enchanting [IMPLY] witty [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   broad-minded ⇒ stubborn
",1,1
"Facts:  Alice is combative [PERIOD] Alice is distinct [PERIOD] Alice is serious [PERIOD] Alice is dishonest [PERIOD]
Rules:
outrageous [AND] dishonest [IMPLY] distinct [PERIOD]
outrageous [IMPLY] serious [PERIOD]
outrageous [IMPLY] dishonest [PERIOD]
serious [AND] dishonest [IMPLY] distinct [PERIOD]
dishonest [IMPLY] serious [PERIOD]
serious [AND] dishonest [AND] distinct [IMPLY] outrageous [PERIOD]
dishonest [IMPLY] combative [PERIOD]
naughty [IMPLY] dishonest [PERIOD]
dishonest [AND] combative [AND] naughty [IMPLY] serious [PERIOD]
dishonest [AND] serious [IMPLY] naughty [PERIOD]
distinct [AND] outrageous [IMPLY] naughty [PERIOD]
distinct [IMPLY] naughty [PERIOD]
combative [IMPLY] dishonest [PERIOD]
combative [AND] naughty [IMPLY] distinct [PERIOD]
distinct [IMPLY] combative [PERIOD]
outrageous [AND] combative [IMPLY] serious [PERIOD]
serious [IMPLY] outrageous [PERIOD]
naughty [IMPLY] combative [PERIOD]
serious [AND] naughty [AND] outrageous [IMPLY] dishonest [PERIOD]
serious [IMPLY] combative [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is intellectual [PERIOD]
Rules:
fragile [AND] charming [AND] tired [IMPLY] precious [PERIOD]
busy [IMPLY] smart [PERIOD]
busy [AND] supportive [AND] tender [IMPLY] tired [PERIOD]
supportive [AND] precious [AND] tired [IMPLY] diplomatic [PERIOD]
smart [AND] shy [AND] busy [IMPLY] horrible [PERIOD]
charming [AND] tender [IMPLY] supportive [PERIOD]
intellectual [IMPLY] supportive [PERIOD]
diplomatic [IMPLY] charming [PERIOD]
diplomatic [AND] tender [AND] impartial [IMPLY] tired [PERIOD]
tender [IMPLY] fragile [PERIOD]
impartial [AND] tender [IMPLY] tired [PERIOD]
precious [AND] charming [AND] diplomatic [IMPLY] shy [PERIOD]
tired [AND] smart [IMPLY] diplomatic [PERIOD]
fragile [AND] busy [AND] precious [IMPLY] horrible [PERIOD]
precious [AND] supportive [AND] tender [IMPLY] smart [PERIOD]
busy [AND] shy [IMPLY] impartial [PERIOD]
supportive [AND] smart [AND] diplomatic [IMPLY] fragile [PERIOD]
supportive [IMPLY] diplomatic [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   intellectual ⇒ supportive
   supportive ⇒ diplomatic
   diplomatic ⇒ charming
   intellectual ⇒ supportive
   supportive ⇒ diplomatic
   Cannot apply rule “precious ∧ charming ∧ diplomatic ⇒ shy” because missing: precious.
",0,6
"Facts:  Alice is tense [PERIOD]
Rules:
disobedient [IMPLY] bored [PERIOD]
outrageous [AND] clumsy [IMPLY] difficult [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   No rule concludes “inexpensive.”
",0,1
"Facts: 
Rules:
cruel [AND] curious [IMPLY] busy [PERIOD]
curious [AND] careless [IMPLY] busy [PERIOD]
busy [AND] careless [IMPLY] witty [PERIOD]
witty [AND] busy [IMPLY] careless [PERIOD]
witty [IMPLY] busy [PERIOD]
witty [AND] cruel [AND] busy [IMPLY] careless [PERIOD]
busy [AND] curious [AND] witty [IMPLY] careless [PERIOD]
busy [AND] careless [AND] witty [IMPLY] cruel [PERIOD]
messy [AND] cruel [AND] curious [IMPLY] careless [PERIOD]
careless [AND] messy [AND] busy [IMPLY] curious [PERIOD]
curious [AND] messy [IMPLY] careless [PERIOD]
messy [AND] cruel [AND] careless [IMPLY] witty [PERIOD]
busy [AND] witty [IMPLY] cruel [PERIOD]
witty [AND] messy [AND] busy [IMPLY] curious [PERIOD]
careless [AND] curious [AND] cruel [IMPLY] witty [PERIOD]
cruel [AND] careless [AND] witty [IMPLY] curious [PERIOD]
busy [AND] careless [IMPLY] curious [PERIOD]
cruel [AND] careless [IMPLY] witty [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   Cannot apply rule “busy ∧ careless ⇒ witty” because missing: busy, careless.
   Cannot apply rule “messy ∧ cruel ∧ careless ⇒ witty” because missing: messy, cruel, careless.
   Cannot apply rule “careless ∧ curious ∧ cruel ⇒ witty” because missing: careless, curious, cruel.
   Cannot apply rule “cruel ∧ careless ⇒ witty” because missing: cruel, careless.
",0,4
"Facts: 
Rules:
tense [AND] stubborn [IMPLY] nervous [PERIOD]
popular [IMPLY] wandering [PERIOD]
tense [IMPLY] weary [PERIOD]
pessimistic [AND] wrong [IMPLY] bright [PERIOD]
agreeable [AND] sleepy [IMPLY] wrong [PERIOD]
homely [AND] stubborn [AND] tense [IMPLY] weary [PERIOD]
enchanting [AND] helpless [IMPLY] nervous [PERIOD]
careless [IMPLY] bright [PERIOD]
wrong [AND] bright [AND] homely [IMPLY] sleepy [PERIOD]
careless [IMPLY] popular [PERIOD]
wandering [IMPLY] weary [PERIOD]
pessimistic [AND] nervous [IMPLY] helpless [PERIOD]
agreeable [AND] pessimistic [AND] ugly [IMPLY] bossy [PERIOD]
average [IMPLY] wandering [PERIOD]
nervous [AND] pessimistic [AND] attractive [IMPLY] average [PERIOD]
weary [AND] stubborn [IMPLY] sleepy [PERIOD]
helpless [IMPLY] weary [PERIOD]
stubborn [AND] nervous [AND] popular [IMPLY] ugly [PERIOD]
enchanting [IMPLY] careless [PERIOD]
pessimistic [AND] bright [IMPLY] nervous [PERIOD]
nervous [AND] popular [AND] agreeable [IMPLY] wandering [PERIOD]
helpless [AND] bossy [AND] tense [IMPLY] talented [PERIOD]
ugly [AND] tense [AND] attractive [IMPLY] enchanting [PERIOD]
talented [AND] wrong [IMPLY] weary [PERIOD]
agreeable [AND] thoughtful [IMPLY] popular [PERIOD]
enchanting [AND] bright [IMPLY] talented [PERIOD]
nervous [IMPLY] popular [PERIOD]
bossy [AND] attractive [AND] pessimistic [IMPLY] homely [PERIOD]
homely [IMPLY] weary [PERIOD]
average [AND] bossy [IMPLY] nervous [PERIOD]
wrong [AND] ugly [IMPLY] careless [PERIOD]
wrong [AND] nervous [IMPLY] bossy [PERIOD]
tense [AND] attractive [IMPLY] weary [PERIOD]
popular [AND] weary [AND] bossy [IMPLY] helpless [PERIOD]
talented [AND] homely [AND] helpless [IMPLY] thoughtful [PERIOD]
wandering [AND] thoughtful [AND] popular [IMPLY] agreeable [PERIOD]
bossy [AND] sleepy [IMPLY] homely [PERIOD]
bright [AND] sleepy [IMPLY] nervous [PERIOD]
popular [AND] bossy [AND] sleepy [IMPLY] tense [PERIOD]
pessimistic [IMPLY] agreeable [PERIOD]
wandering [IMPLY] average [PERIOD]
stubborn [AND] wrong [IMPLY] bright [PERIOD]
average [AND] popular [AND] agreeable [IMPLY] careless [PERIOD]
nervous [IMPLY] wrong [PERIOD]
nervous [AND] helpless [AND] agreeable [IMPLY] wrong [PERIOD]
enchanting [AND] average [IMPLY] bright [PERIOD]
bossy [AND] nervous [IMPLY] stubborn [PERIOD]
homely [IMPLY] helpless [PERIOD]
bright [IMPLY] ugly [PERIOD]
tense [AND] homely [IMPLY] bright [PERIOD]
helpless [AND] tense [IMPLY] agreeable [PERIOD]
bright [IMPLY] tense [PERIOD]
average [IMPLY] weary [PERIOD]
weary [AND] ugly [AND] agreeable [IMPLY] bright [PERIOD]
ugly [AND] bright [AND] thoughtful [IMPLY] stubborn [PERIOD]
talented [IMPLY] wrong [PERIOD]
agreeable [AND] nervous [AND] attractive [IMPLY] bright [PERIOD]
popular [IMPLY] attractive [PERIOD]
ugly [AND] tense [AND] stubborn [IMPLY] nervous [PERIOD]
pessimistic [AND] wandering [AND] careless [IMPLY] talented [PERIOD]
popular [IMPLY] helpless [PERIOD]
tense [AND] talented [AND] weary [IMPLY] bright [PERIOD]
weary [IMPLY] agreeable [PERIOD]
average [AND] homely [AND] helpless [IMPLY] careless [PERIOD]
homely [AND] wrong [AND] bossy [IMPLY] bright [PERIOD]
enchanting [IMPLY] sleepy [PERIOD]
helpless [AND] average [AND] agreeable [IMPLY] attractive [PERIOD]
sleepy [IMPLY] homely [PERIOD]
weary [AND] tense [IMPLY] pessimistic [PERIOD]
thoughtful [IMPLY] wandering [PERIOD]
popular [AND] attractive [AND] wandering [IMPLY] average [PERIOD]
weary [IMPLY] ugly [PERIOD]
attractive [AND] talented [IMPLY] wrong [PERIOD]
wrong [AND] sleepy [AND] tense [IMPLY] bossy [PERIOD]
thoughtful [AND] agreeable [IMPLY] ugly [PERIOD]
stubborn [AND] average [IMPLY] homely [PERIOD]
wandering [AND] pessimistic [IMPLY] popular [PERIOD]
careless [AND] wandering [IMPLY] bossy [PERIOD]
weary [AND] sleepy [AND] helpless [IMPLY] bossy [PERIOD]
homely [IMPLY] bright [PERIOD]
thoughtful [AND] ugly [AND] wrong [IMPLY] bossy [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   Cannot apply rule “enchanting ⇒ careless” because missing: enchanting.
   Cannot apply rule “wrong ∧ ugly ⇒ careless” because missing: wrong, ugly.
   Cannot apply rule “average ∧ popular ∧ agreeable ⇒ careless” because missing: average, popular, agreeable.
   Cannot apply rule “average ∧ homely ∧ helpless ⇒ careless” because missing: average, homely, helpless.
",0,4
"Facts: 
Rules:
grumpy [AND] embarrassed [AND] adorable [IMPLY] straightforward [PERIOD]
quaint [IMPLY] distinct [PERIOD]
grumpy [AND] straightforward [AND] quaint [IMPLY] calm [PERIOD]
calm [AND] rational [IMPLY] straightforward [PERIOD]
inquisitive [AND] grumpy [AND] mean [IMPLY] calm [PERIOD]
rational [AND] mean [AND] adorable [IMPLY] calm [PERIOD]
quaint [AND] grumpy [AND] distinct [IMPLY] calm [PERIOD]
mean [AND] quaint [IMPLY] calm [PERIOD]
calm [AND] embarrassed [AND] distinct [IMPLY] rational [PERIOD]
nervous [IMPLY] adorable [PERIOD]
grumpy [AND] quaint [AND] nervous [IMPLY] inquisitive [PERIOD]
nervous [AND] rational [AND] distinct [IMPLY] inquisitive [PERIOD]
embarrassed [AND] distinct [IMPLY] adorable [PERIOD]
straightforward [AND] rational [AND] nervous [IMPLY] mean [PERIOD]
calm [IMPLY] mean [PERIOD]
adorable [AND] nervous [IMPLY] rational [PERIOD]
calm [IMPLY] straightforward [PERIOD]
rational [AND] inquisitive [IMPLY] grumpy [PERIOD]
nervous [AND] distinct [AND] rational [IMPLY] straightforward [PERIOD]
quaint [AND] straightforward [IMPLY] embarrassed [PERIOD]
inquisitive [AND] adorable [IMPLY] rational [PERIOD]
calm [AND] rational [IMPLY] grumpy [PERIOD]
grumpy [AND] quaint [IMPLY] mean [PERIOD]
quaint [IMPLY] nervous [PERIOD]
quaint [AND] straightforward [IMPLY] adorable [PERIOD]
quaint [AND] mean [AND] nervous [IMPLY] distinct [PERIOD]
grumpy [IMPLY] straightforward [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   Cannot apply rule “grumpy ∧ straightforward ∧ quaint ⇒ calm” because missing: grumpy, straightforward, quaint.
   Cannot apply rule “inquisitive ∧ grumpy ∧ mean ⇒ calm” because missing: inquisitive, grumpy, mean.
   Cannot apply rule “rational ∧ mean ∧ adorable ⇒ calm” because missing: rational, mean, adorable.
   Cannot apply rule “quaint ∧ grumpy ∧ distinct ⇒ calm” because missing: quaint, grumpy, distinct.
   Cannot apply rule “mean ∧ quaint ⇒ calm” because missing: mean, quaint.
",0,5
"Facts:  Alice is friendly [PERIOD]
Rules:
impartial [AND] hypocritical [IMPLY] condemned [PERIOD]
old-fashioned [AND] grumpy [IMPLY] hypocritical [PERIOD]
easy [IMPLY] anxious [PERIOD]
tidy [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] friendly [IMPLY] anxious [PERIOD]
anxious [IMPLY] easy [PERIOD]
grumpy [AND] friendly [AND] old-fashioned [IMPLY] impartial [PERIOD]
hypocritical [AND] grumpy [AND] impartial [IMPLY] tidy [PERIOD]
uptight [IMPLY] easy [PERIOD]
hypocritical [AND] grumpy [IMPLY] impartial [PERIOD]
friendly [AND] hypocritical [IMPLY] impartial [PERIOD]
grumpy [AND] friendly [AND] condemned [IMPLY] tidy [PERIOD]
tidy [AND] friendly [AND] uptight [IMPLY] condemned [PERIOD]
tidy [AND] anxious [IMPLY] uptight [PERIOD]
grumpy [AND] anxious [AND] friendly [IMPLY] uptight [PERIOD]
impartial [AND] tidy [AND] anxious [IMPLY] uptight [PERIOD]
condemned [AND] mysterious [IMPLY] friendly [PERIOD]
mysterious [AND] hypocritical [AND] old-fashioned [IMPLY] impartial [PERIOD]
impartial [AND] mysterious [IMPLY] anxious [PERIOD]
anxious [IMPLY] uptight [PERIOD]
grumpy [AND] mysterious [IMPLY] impartial [PERIOD]
easy [AND] condemned [IMPLY] uptight [PERIOD]
hypocritical [AND] mysterious [AND] easy [IMPLY] impartial [PERIOD]
condemned [AND] friendly [AND] tidy [IMPLY] mysterious [PERIOD]
hypocritical [AND] mysterious [AND] impartial [IMPLY] condemned [PERIOD]
hypocritical [AND] friendly [IMPLY] condemned [PERIOD]
condemned [IMPLY] easy [PERIOD]
uptight [AND] easy [AND] hypocritical [IMPLY] impartial [PERIOD]
tidy [AND] condemned [AND] hypocritical [IMPLY] grumpy [PERIOD]
mysterious [IMPLY] tidy [PERIOD]
old-fashioned [AND] tidy [IMPLY] impartial [PERIOD]
friendly [IMPLY] easy [PERIOD]
uptight [AND] hypocritical [AND] tidy [IMPLY] old-fashioned [PERIOD]
hypocritical [AND] uptight [IMPLY] friendly [PERIOD]
condemned [AND] anxious [IMPLY] impartial [PERIOD]
condemned [IMPLY] mysterious [PERIOD]
easy [AND] condemned [AND] anxious [IMPLY] uptight [PERIOD]
hypocritical [AND] old-fashioned [AND] impartial [IMPLY] condemned [PERIOD]
friendly [IMPLY] tidy [PERIOD]
impartial [AND] mysterious [IMPLY] tidy [PERIOD]
mysterious [IMPLY] impartial [PERIOD]
easy [IMPLY] hypocritical [PERIOD]
anxious [AND] impartial [AND] hypocritical [IMPLY] grumpy [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   friendly ⇒ tidy
   friendly ⇒ easy
   easy ⇒ hypocritical
   hypocritical ∧ friendly ⇒ condemned
   friendly ⇒ easy
   easy ⇒ hypocritical
   tidy ∧ condemned ∧ hypocritical ⇒ grumpy
",1,7
"Facts:  Alice is impartial [PERIOD] Alice is thoughtless [PERIOD]
Rules:
outstanding [IMPLY] perfect [PERIOD]
elegant [IMPLY] pleasant [PERIOD]
impartial [AND] perfect [AND] elegant [IMPLY] thoughtless [PERIOD]
elegant [IMPLY] dishonest [PERIOD]
stupid [AND] dishonest [AND] outstanding [IMPLY] perfect [PERIOD]
helpless [AND] elegant [AND] outstanding [IMPLY] witty [PERIOD]
exuberant [AND] stupid [IMPLY] helpless [PERIOD]
elegant [AND] dishonest [IMPLY] impartial [PERIOD]
thoughtless [AND] pleasant [AND] exuberant [IMPLY] dishonest [PERIOD]
outstanding [AND] helpless [AND] cute [IMPLY] thoughtless [PERIOD]
stupid [AND] perfect [IMPLY] cute [PERIOD]
helpless [IMPLY] cute [PERIOD]
elegant [IMPLY] exuberant [PERIOD]
thoughtless [IMPLY] impartial [PERIOD]
cute [AND] dishonest [AND] stupid [IMPLY] pleasant [PERIOD]
exuberant [AND] elegant [IMPLY] cute [PERIOD]
elegant [AND] exuberant [AND] perfect [IMPLY] dishonest [PERIOD]
dishonest [IMPLY] helpless [PERIOD]
dishonest [AND] exuberant [IMPLY] perfect [PERIOD]
cute [AND] thoughtless [IMPLY] impartial [PERIOD]
helpless [AND] cute [AND] outstanding [IMPLY] exuberant [PERIOD]
impartial [IMPLY] stupid [PERIOD]
witty [AND] helpless [AND] outstanding [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] outstanding [PERIOD]
stupid [IMPLY] witty [PERIOD]
stupid [IMPLY] outstanding [PERIOD]
pleasant [AND] dishonest [AND] thoughtless [IMPLY] stupid [PERIOD]
elegant [AND] perfect [AND] witty [IMPLY] outstanding [PERIOD]
stupid [AND] perfect [IMPLY] witty [PERIOD]
thoughtless [IMPLY] perfect [PERIOD]
pleasant [IMPLY] perfect [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   impartial ⇒ stupid
   Cannot apply rule “exuberant ∧ stupid ⇒ helpless” because missing: exuberant.
   Cannot apply rule “dishonest ⇒ helpless” because missing: dishonest.
",0,3
"Facts:  Alice is tender [PERIOD] Alice is adorable [PERIOD]
Rules:
blushing [AND] charming [AND] adorable [IMPLY] bossy [PERIOD]
blushing [IMPLY] frantic [PERIOD]
frantic [AND] bossy [IMPLY] tender [PERIOD]
adorable [AND] broad-minded [IMPLY] tender [PERIOD]
broad-minded [AND] tender [AND] popular [IMPLY] frantic [PERIOD]
popular [AND] frantic [IMPLY] charming [PERIOD]
blushing [AND] charming [AND] frantic [IMPLY] bossy [PERIOD]
bossy [AND] frantic [AND] tender [IMPLY] popular [PERIOD]
frantic [AND] broad-minded [IMPLY] bossy [PERIOD]
charming [IMPLY] adorable [PERIOD]
bossy [AND] popular [IMPLY] broad-minded [PERIOD]
popular [AND] tender [IMPLY] adorable [PERIOD]
popular [AND] broad-minded [IMPLY] blushing [PERIOD]
tender [AND] broad-minded [IMPLY] bossy [PERIOD]
frantic [IMPLY] popular [PERIOD]
bossy [IMPLY] blushing [PERIOD]
adorable [AND] popular [IMPLY] charming [PERIOD]
bossy [AND] broad-minded [IMPLY] adorable [PERIOD]
frantic [AND] popular [AND] charming [IMPLY] broad-minded [PERIOD]
bossy [AND] adorable [IMPLY] blushing [PERIOD]
bossy [IMPLY] frantic [PERIOD]
popular [AND] broad-minded [AND] charming [IMPLY] frantic [PERIOD]
bossy [AND] charming [IMPLY] frantic [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “blushing ⇒ frantic” because missing: blushing.
   Cannot apply rule “broad-minded ∧ tender ∧ popular ⇒ frantic” because missing: broad-minded, popular.
   Cannot apply rule “bossy ⇒ frantic” because missing: bossy.
   Cannot apply rule “popular ∧ broad-minded ∧ charming ⇒ frantic” because missing: popular, broad-minded, charming.
   Cannot apply rule “bossy ∧ charming ⇒ frantic” because missing: bossy, charming.
",0,5
"Facts:  Alice is cute [PERIOD] Alice is sincere [PERIOD] Alice is intellectual [PERIOD] Alice is gleaming [PERIOD] Alice is ambitious [PERIOD] Alice is powerful [PERIOD] Alice is ugliest [PERIOD] Alice is frightened [PERIOD] Alice is stormy [PERIOD] Alice is worried [PERIOD] Alice is charming [PERIOD] Alice is sensible [PERIOD] Alice is famous [PERIOD] Alice is courageous [PERIOD] Alice is calm [PERIOD] Alice is supportive [PERIOD] Alice is fragile [PERIOD] Alice is bright [PERIOD] Alice is clumsy [PERIOD] Alice is worrisome [PERIOD] Alice is helpless [PERIOD] Alice is quaint [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
stormy [IMPLY] mysterious [PERIOD]
gleaming [IMPLY] difficult [PERIOD]
courageous [IMPLY] quaint [PERIOD]
sensible [IMPLY] stormy [PERIOD]
mysterious [IMPLY] clumsy [PERIOD]
sensible [IMPLY] ambitious [PERIOD]
old-fashioned [AND] intellectual [AND] fragile [IMPLY] cute [PERIOD]
ugliest [IMPLY] rude [PERIOD]
cute [IMPLY] ugliest [PERIOD]
intellectual [IMPLY] mysterious [PERIOD]
bright [AND] frightened [AND] shy [IMPLY] sensible [PERIOD]
sincere [AND] clumsy [AND] tense [IMPLY] courageous [PERIOD]
frightened [AND] cute [AND] ambitious [IMPLY] quaint [PERIOD]
frightened [IMPLY] calm [PERIOD]
rude [AND] friendly [IMPLY] difficult [PERIOD]
friendly [AND] courageous [IMPLY] intellectual [PERIOD]
stormy [AND] uptight [IMPLY] sensible [PERIOD]
worrisome [AND] mysterious [IMPLY] sensible [PERIOD]
sincere [AND] difficult [IMPLY] cute [PERIOD]
quaint [IMPLY] intellectual [PERIOD]
mysterious [AND] ugliest [IMPLY] helpless [PERIOD]
ambitious [IMPLY] supportive [PERIOD]
calm [AND] sincere [IMPLY] worried [PERIOD]
rude [IMPLY] gleaming [PERIOD]
calm [IMPLY] tense [PERIOD]
tense [AND] friendly [AND] calm [IMPLY] mysterious [PERIOD]
famous [AND] sensible [IMPLY] old-fashioned [PERIOD]
clumsy [IMPLY] ugliest [PERIOD]
sincere [IMPLY] ugliest [PERIOD]
mysterious [IMPLY] supportive [PERIOD]
tense [AND] supportive [AND] courageous [IMPLY] helpless [PERIOD]
sincere [AND] famous [IMPLY] frightened [PERIOD]
intellectual [IMPLY] friendly [PERIOD]
rude [IMPLY] fragile [PERIOD]
sensible [AND] famous [IMPLY] helpless [PERIOD]
uptight [AND] sensible [AND] bright [IMPLY] sincere [PERIOD]
frightened [AND] uptight [AND] intellectual [IMPLY] worrisome [PERIOD]
sensible [AND] worrisome [AND] supportive [IMPLY] clumsy [PERIOD]
old-fashioned [IMPLY] charming [PERIOD]
sensible [IMPLY] mysterious [PERIOD]
worried [AND] quaint [IMPLY] powerful [PERIOD]
helpless [IMPLY] uptight [PERIOD]
bright [AND] uptight [AND] mysterious [IMPLY] difficult [PERIOD]
clumsy [AND] ambitious [AND] courageous [IMPLY] rude [PERIOD]
worried [AND] charming [IMPLY] gleaming [PERIOD]
charming [AND] difficult [IMPLY] uptight [PERIOD]
rude [IMPLY] courageous [PERIOD]
intellectual [AND] worried [AND] ugliest [IMPLY] courageous [PERIOD]
sensible [AND] quaint [AND] old-fashioned [IMPLY] ugliest [PERIOD]
quaint [AND] friendly [IMPLY] rude [PERIOD]
clumsy [IMPLY] ambitious [PERIOD]
cute [AND] rude [IMPLY] ambitious [PERIOD]
intellectual [AND] sensible [IMPLY] worried [PERIOD]
old-fashioned [AND] charming [AND] uptight [IMPLY] calm [PERIOD]
cute [AND] old-fashioned [AND] gleaming [IMPLY] difficult [PERIOD]
difficult [AND] old-fashioned [AND] intellectual [IMPLY] ugliest [PERIOD]
calm [AND] ambitious [IMPLY] uptight [PERIOD]
cute [AND] famous [AND] intellectual [IMPLY] mysterious [PERIOD]
old-fashioned [AND] gleaming [IMPLY] uptight [PERIOD]
mysterious [IMPLY] fragile [PERIOD]
worried [AND] gleaming [IMPLY] cute [PERIOD]
sensible [IMPLY] rude [PERIOD]
charming [AND] ambitious [AND] quaint [IMPLY] fragile [PERIOD]
fragile [IMPLY] ugliest [PERIOD]
friendly [IMPLY] difficult [PERIOD]
clumsy [AND] friendly [IMPLY] helpless [PERIOD]
courageous [IMPLY] helpless [PERIOD]
quaint [AND] cute [AND] bright [IMPLY] charming [PERIOD]
sincere [AND] ambitious [AND] frightened [IMPLY] supportive [PERIOD]
bright [AND] friendly [IMPLY] sensible [PERIOD]
difficult [AND] sincere [AND] intellectual [IMPLY] worried [PERIOD]
uptight [AND] worried [AND] courageous [IMPLY] mysterious [PERIOD]
bright [AND] famous [IMPLY] ugliest [PERIOD]
bright [IMPLY] worried [PERIOD]
worried [AND] courageous [AND] intellectual [IMPLY] fragile [PERIOD]
intellectual [IMPLY] quaint [PERIOD]
difficult [AND] famous [IMPLY] mysterious [PERIOD]
charming [AND] friendly [IMPLY] difficult [PERIOD]
cute [IMPLY] calm [PERIOD]
tense [IMPLY] ugliest [PERIOD]
famous [AND] worried [IMPLY] supportive [PERIOD]
old-fashioned [AND] uptight [IMPLY] fragile [PERIOD]
worried [IMPLY] ugliest [PERIOD]
clumsy [AND] ambitious [IMPLY] shy [PERIOD]
tense [IMPLY] bright [PERIOD]
rude [IMPLY] stormy [PERIOD]
stormy [IMPLY] sensible [PERIOD]
fragile [AND] friendly [AND] stormy [IMPLY] clumsy [PERIOD]
frightened [AND] ugliest [AND] ambitious [IMPLY] friendly [PERIOD]
friendly [IMPLY] quaint [PERIOD]
friendly [AND] mysterious [AND] clumsy [IMPLY] uptight [PERIOD]
calm [AND] ugliest [AND] fragile [IMPLY] shy [PERIOD]
uptight [IMPLY] charming [PERIOD]
stormy [AND] ambitious [AND] intellectual [IMPLY] ugliest [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   calm ∧ ambitious ⇒ uptight
",1,1
"Facts:  Alice is serious [PERIOD] Alice is mean [PERIOD] Alice is pleasant [PERIOD] Alice is fragile [PERIOD]
Rules:
selfish [AND] outrageous [AND] fragile [IMPLY] serious [PERIOD]
fearless [AND] outrageous [IMPLY] combative [PERIOD]
combative [IMPLY] mean [PERIOD]
combative [IMPLY] hypocritical [PERIOD]
bossy [IMPLY] selfish [PERIOD]
hypocritical [AND] bored [AND] mean [IMPLY] supportive [PERIOD]
bossy [AND] careless [AND] horrible [IMPLY] friendly [PERIOD]
bored [AND] supportive [AND] tender [IMPLY] combative [PERIOD]
combative [AND] bored [AND] disgusted [IMPLY] supportive [PERIOD]
hypocritical [AND] supportive [IMPLY] tender [PERIOD]
ambitious [AND] fearless [IMPLY] fragile [PERIOD]
horrible [AND] ambitious [IMPLY] selfish [PERIOD]
fearless [IMPLY] combative [PERIOD]
versatile [AND] reserved [AND] fearless [IMPLY] friendly [PERIOD]
selfish [AND] ambitious [IMPLY] supportive [PERIOD]
versatile [AND] serious [AND] selfish [IMPLY] horrible [PERIOD]
fearless [AND] hurt [IMPLY] mean [PERIOD]
combative [IMPLY] hurt [PERIOD]
hurt [IMPLY] versatile [PERIOD]
bossy [AND] serious [AND] careless [IMPLY] horrible [PERIOD]
ambitious [IMPLY] horrible [PERIOD]
mean [IMPLY] ambitious [PERIOD]
careless [AND] bored [AND] outrageous [IMPLY] mean [PERIOD]
selfish [AND] supportive [IMPLY] hypocritical [PERIOD]
reserved [IMPLY] fearless [PERIOD]
tender [AND] fearless [IMPLY] reserved [PERIOD]
hypocritical [IMPLY] tender [PERIOD]
hypocritical [AND] horrible [IMPLY] careless [PERIOD]
bored [AND] supportive [IMPLY] tender [PERIOD]
careless [IMPLY] bored [PERIOD]
careless [AND] tender [AND] serious [IMPLY] selfish [PERIOD]
tender [AND] versatile [AND] fearless [IMPLY] serious [PERIOD]
outrageous [AND] versatile [IMPLY] bossy [PERIOD]
pleasant [AND] hurt [IMPLY] tender [PERIOD]
hypocritical [AND] mean [IMPLY] supportive [PERIOD]
ambitious [AND] fearless [AND] pleasant [IMPLY] supportive [PERIOD]
pleasant [AND] friendly [IMPLY] mean [PERIOD]
horrible [AND] hypocritical [IMPLY] ambitious [PERIOD]
hypocritical [IMPLY] ambitious [PERIOD]
careless [AND] horrible [AND] fragile [IMPLY] hurt [PERIOD]
pleasant [AND] ambitious [AND] bored [IMPLY] serious [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   mean ⇒ ambitious
   ambitious ⇒ horrible
   mean ⇒ ambitious
   horrible ∧ ambitious ⇒ selfish
   mean ⇒ ambitious
   selfish ∧ ambitious ⇒ supportive
",1,6
"Facts: 
Rules:
clean [IMPLY] fine [PERIOD]
fine [AND] wandering [AND] foolish [IMPLY] gorgeous [PERIOD]
wandering [AND] ugliest [AND] disgusted [IMPLY] foolish [PERIOD]
thoughtless [AND] ugliest [IMPLY] clean [PERIOD]
fine [AND] ugliest [IMPLY] impatient [PERIOD]
fine [AND] muddy [AND] rational [IMPLY] diplomatic [PERIOD]
rational [AND] rude [AND] weary [IMPLY] ugliest [PERIOD]
clean [AND] weary [AND] gorgeous [IMPLY] rude [PERIOD]
bright [IMPLY] diplomatic [PERIOD]
muddy [IMPLY] horrible [PERIOD]
muddy [IMPLY] bright [PERIOD]
fine [AND] diplomatic [AND] clean [IMPLY] foolish [PERIOD]
wandering [AND] ugliest [IMPLY] horrible [PERIOD]
fine [AND] gorgeous [IMPLY] impatient [PERIOD]
bright [AND] clean [IMPLY] horrible [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   Cannot apply rule “fine ∧ wandering ∧ foolish ⇒ gorgeous” because missing: fine, wandering, foolish.
",0,1
"Facts:  Alice is famous [PERIOD] Alice is cruel [PERIOD] Alice is precious [PERIOD]
Rules:
crowded [IMPLY] tame [PERIOD]
tame [IMPLY] bossy [PERIOD]
fine [AND] famous [AND] precious [IMPLY] tame [PERIOD]
crowded [IMPLY] precious [PERIOD]
distinct [AND] nervous [AND] tame [IMPLY] calm [PERIOD]
distinct [IMPLY] bossy [PERIOD]
tame [IMPLY] cruel [PERIOD]
famous [AND] nervous [AND] charming [IMPLY] elated [PERIOD]
bossy [AND] stupid [AND] tame [IMPLY] elated [PERIOD]
tame [AND] precious [AND] cruel [IMPLY] stupid [PERIOD]
nervous [IMPLY] distinct [PERIOD]
famous [IMPLY] smart [PERIOD]
charming [AND] distinct [IMPLY] crowded [PERIOD]
nervous [AND] fine [IMPLY] famous [PERIOD]
smart [IMPLY] elated [PERIOD]
bossy [AND] distinct [IMPLY] calm [PERIOD]
precious [IMPLY] crowded [PERIOD]
cruel [IMPLY] stupid [PERIOD]
smart [IMPLY] distinct [PERIOD]
charming [AND] fine [AND] elated [IMPLY] stupid [PERIOD]
tame [IMPLY] distinct [PERIOD]
elated [AND] bossy [AND] cruel [IMPLY] famous [PERIOD]
tame [AND] distinct [IMPLY] stupid [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   No rule concludes “nervous.”
",0,1
"Facts: 
Rules:
pessimistic [AND] talkative [IMPLY] mean [PERIOD]
aggressive [IMPLY] beautiful [PERIOD]
pessimistic [AND] beautiful [AND] mean [IMPLY] aggressive [PERIOD]
innocent [AND] excited [AND] worried [IMPLY] glamorous [PERIOD]
worried [AND] pessimistic [IMPLY] glamorous [PERIOD]
mean [AND] worried [IMPLY] smart [PERIOD]
pessimistic [AND] bossy [AND] glamorous [IMPLY] innocent [PERIOD]
worried [AND] smart [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] excited [PERIOD]
glamorous [IMPLY] aggressive [PERIOD]
excited [IMPLY] beautiful [PERIOD]
mean [AND] worried [AND] glamorous [IMPLY] excited [PERIOD]
mean [AND] excited [IMPLY] talkative [PERIOD]
worried [AND] aggressive [IMPLY] talkative [PERIOD]
beautiful [AND] pessimistic [IMPLY] innocent [PERIOD]
beautiful [IMPLY] smart [PERIOD]
glamorous [AND] talkative [AND] pessimistic [IMPLY] worried [PERIOD]
aggressive [IMPLY] pessimistic [PERIOD]
innocent [IMPLY] smart [PERIOD]
beautiful [AND] talkative [IMPLY] bossy [PERIOD]
beautiful [AND] glamorous [IMPLY] pessimistic [PERIOD]
aggressive [AND] bossy [AND] worried [IMPLY] beautiful [PERIOD]
mean [AND] beautiful [IMPLY] pessimistic [PERIOD]
beautiful [IMPLY] aggressive [PERIOD]
talkative [AND] innocent [IMPLY] worried [PERIOD]
glamorous [AND] smart [AND] bossy [IMPLY] talkative [PERIOD]
pessimistic [AND] innocent [IMPLY] glamorous [PERIOD]
talkative [AND] aggressive [IMPLY] glamorous [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   Cannot apply rule “innocent ∧ excited ∧ worried ⇒ glamorous” because missing: innocent, excited, worried.
   Cannot apply rule “worried ∧ pessimistic ⇒ glamorous” because missing: worried, pessimistic.
   Cannot apply rule “worried ∧ smart ⇒ glamorous” because missing: worried, smart.
   Cannot apply rule “pessimistic ∧ innocent ⇒ glamorous” because missing: pessimistic, innocent.
   Cannot apply rule “talkative ∧ aggressive ⇒ glamorous” because missing: talkative, aggressive.
",0,5
"Facts:  Alice is smart [PERIOD] Alice is friendly [PERIOD] Alice is curious [PERIOD] Alice is rude [PERIOD]
Rules:
hilarious [IMPLY] friendly [PERIOD]
charming [AND] homely [IMPLY] gifted [PERIOD]
outrageous [AND] smart [IMPLY] gleaming [PERIOD]
serious [AND] attentive [IMPLY] ambitious [PERIOD]
exuberant [IMPLY] curious [PERIOD]
different [AND] gifted [AND] curious [IMPLY] thoughtful [PERIOD]
homely [IMPLY] stupid [PERIOD]
outrageous [IMPLY] different [PERIOD]
hilarious [AND] smart [IMPLY] homely [PERIOD]
rude [AND] glamorous [IMPLY] ambitious [PERIOD]
light [AND] homely [AND] selfish [IMPLY] enchanting [PERIOD]
combative [IMPLY] charming [PERIOD]
serious [AND] attentive [AND] straightforward [IMPLY] scared [PERIOD]
amused [AND] stupid [AND] charming [IMPLY] serious [PERIOD]
famous [AND] unpleasant [IMPLY] light [PERIOD]
charming [AND] ambitious [IMPLY] glamorous [PERIOD]
amused [AND] combative [IMPLY] attentive [PERIOD]
scared [AND] homely [IMPLY] straightforward [PERIOD]
different [AND] outrageous [IMPLY] light [PERIOD]
ambitious [IMPLY] outrageous [PERIOD]
gifted [AND] rude [IMPLY] gleaming [PERIOD]
charming [AND] combative [AND] famous [IMPLY] amused [PERIOD]
exuberant [AND] homely [IMPLY] tired [PERIOD]
charming [IMPLY] different [PERIOD]
selfish [IMPLY] outrageous [PERIOD]
gleaming [AND] light [AND] famous [IMPLY] different [PERIOD]
curious [IMPLY] light [PERIOD]
straightforward [AND] smart [AND] scared [IMPLY] gleaming [PERIOD]
enchanting [IMPLY] outrageous [PERIOD]
serious [AND] helpful [IMPLY] thoughtful [PERIOD]
combative [AND] scared [IMPLY] unpleasant [PERIOD]
attentive [AND] glamorous [IMPLY] light [PERIOD]
outrageous [AND] combative [IMPLY] unpleasant [PERIOD]
gifted [AND] scared [IMPLY] exuberant [PERIOD]
gifted [AND] glamorous [AND] different [IMPLY] attentive [PERIOD]
straightforward [AND] thoughtful [AND] rude [IMPLY] light [PERIOD]
hilarious [AND] glamorous [AND] smart [IMPLY] thoughtful [PERIOD]
exuberant [IMPLY] scared [PERIOD]
selfish [IMPLY] amused [PERIOD]
smart [AND] straightforward [IMPLY] selfish [PERIOD]
selfish [AND] helpful [IMPLY] messy [PERIOD]
messy [AND] smart [AND] outrageous [IMPLY] homely [PERIOD]
thoughtful [IMPLY] ambitious [PERIOD]
different [AND] scared [AND] outrageous [IMPLY] charming [PERIOD]
light [IMPLY] gifted [PERIOD]
tired [IMPLY] scared [PERIOD]
stupid [AND] glamorous [IMPLY] enchanting [PERIOD]
messy [IMPLY] stupid [PERIOD]
light [AND] attentive [AND] amused [IMPLY] homely [PERIOD]
glamorous [IMPLY] selfish [PERIOD]
light [AND] smart [AND] friendly [IMPLY] rude [PERIOD]
unpleasant [IMPLY] glamorous [PERIOD]
attentive [AND] amused [AND] curious [IMPLY] charming [PERIOD]
combative [AND] charming [AND] thoughtful [IMPLY] straightforward [PERIOD]
enchanting [AND] homely [AND] famous [IMPLY] curious [PERIOD]
stupid [AND] straightforward [AND] curious [IMPLY] friendly [PERIOD]
light [IMPLY] scared [PERIOD]
combative [AND] selfish [IMPLY] gleaming [PERIOD]
helpful [AND] messy [IMPLY] friendly [PERIOD]
ambitious [AND] enchanting [IMPLY] gifted [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   No rule concludes “combative.”
",0,1
"Facts: 
Rules:
sleepy [AND] foolish [AND] cooperative [IMPLY] serious [PERIOD]
serious [IMPLY] modern [PERIOD]
cooperative [IMPLY] weary [PERIOD]
modern [AND] serious [IMPLY] sleepy [PERIOD]
outstanding [IMPLY] modern [PERIOD]
impatient [AND] serious [IMPLY] cooperative [PERIOD]
wide-eyed [IMPLY] modern [PERIOD]
sleepy [IMPLY] serious [PERIOD]
cooperative [IMPLY] sleepy [PERIOD]
disgusted [IMPLY] foolish [PERIOD]
impatient [IMPLY] modern [PERIOD]
joyous [AND] cooperative [AND] stubborn [IMPLY] wide-eyed [PERIOD]
sleepy [AND] joyous [AND] stubborn [IMPLY] outstanding [PERIOD]
disgusted [AND] stubborn [AND] joyous [IMPLY] weary [PERIOD]
serious [AND] impatient [AND] joyous [IMPLY] wide-eyed [PERIOD]
joyous [IMPLY] modern [PERIOD]
weary [AND] cooperative [AND] joyous [IMPLY] disgusted [PERIOD]
foolish [AND] stubborn [AND] joyous [IMPLY] wide-eyed [PERIOD]
disgusted [AND] joyous [IMPLY] foolish [PERIOD]
foolish [AND] impatient [AND] sleepy [IMPLY] modern [PERIOD]
wide-eyed [IMPLY] sleepy [PERIOD]
stubborn [AND] cooperative [AND] weary [IMPLY] impatient [PERIOD]
weary [AND] stubborn [AND] cooperative [IMPLY] foolish [PERIOD]
stubborn [IMPLY] sleepy [PERIOD]
disgusted [IMPLY] outstanding [PERIOD]
disgusted [IMPLY] sleepy [PERIOD]
cooperative [AND] disgusted [AND] impatient [IMPLY] weary [PERIOD]
impatient [IMPLY] sleepy [PERIOD]
serious [AND] wide-eyed [AND] stubborn [IMPLY] disgusted [PERIOD]
joyous [IMPLY] outstanding [PERIOD]
wide-eyed [AND] outstanding [IMPLY] serious [PERIOD]
sleepy [IMPLY] joyous [PERIOD]
sleepy [IMPLY] wide-eyed [PERIOD]
outstanding [IMPLY] impatient [PERIOD]
outstanding [AND] cooperative [IMPLY] serious [PERIOD]
disgusted [IMPLY] impatient [PERIOD]
stubborn [AND] cooperative [IMPLY] sleepy [PERIOD]
sleepy [AND] modern [AND] weary [IMPLY] foolish [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   Cannot apply rule “disgusted ⇒ foolish” because missing: disgusted.
   Cannot apply rule “disgusted ∧ joyous ⇒ foolish” because missing: disgusted, joyous.
   Cannot apply rule “weary ∧ stubborn ∧ cooperative ⇒ foolish” because missing: weary, stubborn, cooperative.
   Cannot apply rule “sleepy ∧ modern ∧ weary ⇒ foolish” because missing: sleepy, modern, weary.
",0,4
"Facts:  Alice is rude [PERIOD] Alice is tense [PERIOD] Alice is old-fashioned [PERIOD] Alice is confused [PERIOD] Alice is condemned [PERIOD] Alice is sincere [PERIOD] Alice is curious [PERIOD] Alice is ugly [PERIOD] Alice is beautiful [PERIOD] Alice is modern [PERIOD] Alice is thoughtless [PERIOD] Alice is intellectual [PERIOD] Alice is inexpensive [PERIOD] Alice is talented [PERIOD]
Rules:
talented [AND] tense [AND] intellectual [IMPLY] beautiful [PERIOD]
talented [IMPLY] inexpensive [PERIOD]
confused [AND] modern [AND] gifted [IMPLY] thoughtless [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is busy [PERIOD] Alice is intellectual [PERIOD] Alice is impartial [PERIOD] Alice is shiny [PERIOD] Alice is rational [PERIOD] Alice is perfect [PERIOD] Alice is tidy [PERIOD] Alice is charming [PERIOD] Alice is inexpensive [PERIOD] Alice is cruel [PERIOD] Alice is cooperative [PERIOD] Alice is outrageous [PERIOD]
Rules:
uptight [AND] innocent [AND] frail [IMPLY] impartial [PERIOD]
outrageous [AND] intellectual [IMPLY] easy [PERIOD]
busy [AND] zealous [IMPLY] easy [PERIOD]
uptight [AND] inexpensive [AND] easy [IMPLY] pleasant [PERIOD]
frail [AND] pleasant [AND] shiny [IMPLY] easy [PERIOD]
inexpensive [AND] cooperative [AND] charming [IMPLY] rational [PERIOD]
shiny [AND] outrageous [IMPLY] rational [PERIOD]
perfect [IMPLY] cruel [PERIOD]
charming [AND] cruel [AND] outrageous [IMPLY] shiny [PERIOD]
frail [IMPLY] easy [PERIOD]
busy [IMPLY] tidy [PERIOD]
cooperative [IMPLY] cruel [PERIOD]
pleasant [IMPLY] cruel [PERIOD]
zealous [AND] frail [IMPLY] perfect [PERIOD]
shiny [AND] perfect [IMPLY] pleasant [PERIOD]
inexpensive [IMPLY] shiny [PERIOD]
pleasant [AND] jittery [IMPLY] perfect [PERIOD]
impartial [AND] uptight [AND] perfect [IMPLY] rational [PERIOD]
cooperative [AND] impartial [AND] rational [IMPLY] perfect [PERIOD]
frail [AND] pleasant [AND] uptight [IMPLY] intellectual [PERIOD]
easy [AND] shiny [IMPLY] uptight [PERIOD]
zealous [IMPLY] perfect [PERIOD]
easy [IMPLY] charming [PERIOD]
shiny [AND] outrageous [AND] tidy [IMPLY] busy [PERIOD]
charming [IMPLY] outrageous [PERIOD]
easy [AND] shiny [IMPLY] inexpensive [PERIOD]
inexpensive [AND] zealous [IMPLY] impartial [PERIOD]
pleasant [IMPLY] rational [PERIOD]
outrageous [AND] uptight [AND] pleasant [IMPLY] perfect [PERIOD]
intellectual [IMPLY] outrageous [PERIOD]
charming [AND] zealous [IMPLY] cruel [PERIOD]
zealous [IMPLY] inexpensive [PERIOD]
outrageous [AND] cruel [IMPLY] perfect [PERIOD]
busy [AND] easy [AND] charming [IMPLY] shiny [PERIOD]
rational [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] inexpensive [PERIOD]
busy [AND] charming [AND] outrageous [IMPLY] zealous [PERIOD]
perfect [AND] shiny [AND] rational [IMPLY] tidy [PERIOD]
innocent [IMPLY] shiny [PERIOD]
tidy [AND] outrageous [IMPLY] pleasant [PERIOD]
cruel [AND] perfect [IMPLY] inexpensive [PERIOD]
impartial [IMPLY] easy [PERIOD]
shiny [AND] rational [AND] jittery [IMPLY] frail [PERIOD]
intellectual [AND] innocent [AND] easy [IMPLY] cooperative [PERIOD]
cruel [AND] outrageous [AND] pleasant [IMPLY] uptight [PERIOD]
frail [AND] zealous [IMPLY] impartial [PERIOD]
innocent [AND] pleasant [AND] charming [IMPLY] zealous [PERIOD]
perfect [IMPLY] rational [PERIOD]
innocent [AND] pleasant [AND] zealous [IMPLY] intellectual [PERIOD]
intellectual [AND] outrageous [AND] inexpensive [IMPLY] innocent [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
cute [IMPLY] troubled [PERIOD]
condemned [AND] friendly [IMPLY] weary [PERIOD]
pessimistic [AND] condemned [AND] busy [IMPLY] weary [PERIOD]
gifted [AND] outrageous [IMPLY] rational [PERIOD]
fearless [AND] weary [AND] busy [IMPLY] careless [PERIOD]
weary [IMPLY] troubled [PERIOD]
pessimistic [AND] busy [IMPLY] troubled [PERIOD]
cute [IMPLY] friendly [PERIOD]
busy [AND] worried [IMPLY] bad-tempered [PERIOD]
careless [AND] cute [IMPLY] gifted [PERIOD]
weary [IMPLY] worried [PERIOD]
busy [IMPLY] careless [PERIOD]
gifted [AND] fearless [AND] busy [IMPLY] friendly [PERIOD]
careless [AND] cute [IMPLY] weary [PERIOD]
rational [AND] friendly [IMPLY] careless [PERIOD]
gifted [AND] rational [IMPLY] fearless [PERIOD]
busy [IMPLY] gifted [PERIOD]
rational [AND] gifted [IMPLY] weary [PERIOD]
careless [IMPLY] condemned [PERIOD]
outrageous [AND] cute [AND] weary [IMPLY] troubled [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
   Cannot apply rule “weary ⇒ worried” because missing: weary.
",0,1
"Facts:  Alice is adorable [PERIOD] Alice is gifted [PERIOD]
Rules:
pleasant [AND] inquisitive [AND] curious [IMPLY] rational [PERIOD]
intellectual [IMPLY] pleasant [PERIOD]
gifted [AND] cruel [IMPLY] rational [PERIOD]
pleasant [AND] adorable [AND] thoughtful [IMPLY] hurt [PERIOD]
cruel [AND] thoughtful [AND] talkative [IMPLY] fancy [PERIOD]
long [AND] fancy [IMPLY] ambitious [PERIOD]
hurt [AND] pleasant [IMPLY] victorious [PERIOD]
modern [IMPLY] long [PERIOD]
curious [AND] rational [AND] intellectual [IMPLY] fancy [PERIOD]
inquisitive [IMPLY] long [PERIOD]
victorious [AND] rational [IMPLY] inquisitive [PERIOD]
gifted [IMPLY] wrong [PERIOD]
ambitious [IMPLY] pleasant [PERIOD]
elated [IMPLY] talkative [PERIOD]
ambitious [AND] cruel [AND] gifted [IMPLY] long [PERIOD]
curious [IMPLY] thoughtful [PERIOD]
hypocritical [AND] gorgeous [IMPLY] fancy [PERIOD]
elated [AND] hypocritical [IMPLY] ambitious [PERIOD]
hurt [AND] fancy [AND] curious [IMPLY] rational [PERIOD]
long [AND] hypocritical [AND] adorable [IMPLY] wrong [PERIOD]
intellectual [AND] gifted [IMPLY] hurt [PERIOD]
intellectual [AND] adorable [IMPLY] long [PERIOD]
long [AND] curious [IMPLY] rational [PERIOD]
elated [IMPLY] hypocritical [PERIOD]
gorgeous [AND] curious [IMPLY] modern [PERIOD]
hypocritical [AND] ambitious [IMPLY] elated [PERIOD]
inquisitive [AND] fancy [AND] intellectual [IMPLY] pleasant [PERIOD]
ambitious [IMPLY] fancy [PERIOD]
thoughtful [AND] fancy [AND] victorious [IMPLY] gifted [PERIOD]
fancy [IMPLY] pleasant [PERIOD]
beautiful [AND] gifted [IMPLY] curious [PERIOD]
beautiful [AND] intellectual [AND] long [IMPLY] curious [PERIOD]
long [AND] hurt [AND] victorious [IMPLY] modern [PERIOD]
rational [AND] ambitious [AND] pleasant [IMPLY] beautiful [PERIOD]
inquisitive [AND] long [IMPLY] talkative [PERIOD]
rational [AND] intellectual [AND] ambitious [IMPLY] elated [PERIOD]
long [IMPLY] beautiful [PERIOD]
long [AND] victorious [IMPLY] rational [PERIOD]
wrong [AND] hypocritical [IMPLY] hurt [PERIOD]
ambitious [IMPLY] long [PERIOD]
cruel [AND] hypocritical [AND] talkative [IMPLY] hurt [PERIOD]
pleasant [AND] gifted [IMPLY] elated [PERIOD]
hypocritical [AND] intellectual [IMPLY] thoughtful [PERIOD]
intellectual [AND] pleasant [IMPLY] inquisitive [PERIOD]
inquisitive [AND] gifted [IMPLY] long [PERIOD]
intellectual [AND] talkative [IMPLY] elated [PERIOD]
curious [AND] hurt [IMPLY] modern [PERIOD]
intellectual [AND] hypocritical [AND] cruel [IMPLY] talkative [PERIOD]
intellectual [AND] rational [AND] inquisitive [IMPLY] fancy [PERIOD]
gorgeous [AND] inquisitive [AND] thoughtful [IMPLY] hurt [PERIOD]
fancy [AND] modern [IMPLY] ambitious [PERIOD]
cruel [AND] ambitious [AND] gorgeous [IMPLY] thoughtful [PERIOD]
pleasant [AND] wrong [IMPLY] talkative [PERIOD]
inquisitive [AND] talkative [AND] ambitious [IMPLY] cruel [PERIOD]
rational [IMPLY] thoughtful [PERIOD]
beautiful [IMPLY] inquisitive [PERIOD]
gorgeous [AND] adorable [IMPLY] wrong [PERIOD]
fancy [AND] curious [AND] modern [IMPLY] rational [PERIOD]
gorgeous [AND] beautiful [IMPLY] wrong [PERIOD]
victorious [IMPLY] intellectual [PERIOD]
rational [AND] elated [IMPLY] modern [PERIOD]
fancy [AND] cruel [AND] gorgeous [IMPLY] intellectual [PERIOD]
hurt [AND] wrong [AND] long [IMPLY] thoughtful [PERIOD]
adorable [AND] hypocritical [IMPLY] cruel [PERIOD]
talkative [AND] thoughtful [AND] victorious [IMPLY] pleasant [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   Cannot apply rule “curious ⇒ thoughtful” because missing: curious.
   Cannot apply rule “hypocritical ∧ intellectual ⇒ thoughtful” because missing: hypocritical, intellectual.
   Cannot apply rule “cruel ∧ ambitious ∧ gorgeous ⇒ thoughtful” because missing: cruel, ambitious, gorgeous.
   Cannot apply rule “rational ⇒ thoughtful” because missing: rational.
   gifted ⇒ wrong
   Cannot apply rule “hurt ∧ wrong ∧ long ⇒ thoughtful” because missing: hurt, long.
",0,6
"Facts:  Alice is dishonest [PERIOD] Alice is wrong [PERIOD] Alice is confused [PERIOD] Alice is mean [PERIOD]
Rules:
thoughtless [IMPLY] stormy [PERIOD]
glamorous [AND] confused [AND] dishonest [IMPLY] talkative [PERIOD]
confused [AND] dishonest [IMPLY] jittery [PERIOD]
stormy [AND] attentive [AND] jittery [IMPLY] mean [PERIOD]
dishonest [IMPLY] worried [PERIOD]
dishonest [AND] jittery [IMPLY] witty [PERIOD]
wrong [AND] dishonest [AND] jittery [IMPLY] confused [PERIOD]
thoughtless [AND] glamorous [AND] worried [IMPLY] mean [PERIOD]
confused [IMPLY] stormy [PERIOD]
glamorous [AND] tired [AND] attentive [IMPLY] gorgeous [PERIOD]
stormy [IMPLY] glamorous [PERIOD]
thoughtless [AND] attentive [AND] gorgeous [IMPLY] glamorous [PERIOD]
thoughtless [AND] confused [IMPLY] worried [PERIOD]
stormy [AND] tired [AND] glamorous [IMPLY] wrong [PERIOD]
attentive [AND] mean [AND] dishonest [IMPLY] jittery [PERIOD]
witty [AND] worried [IMPLY] jittery [PERIOD]
wrong [AND] stormy [IMPLY] mean [PERIOD]
thoughtless [IMPLY] worried [PERIOD]
dishonest [AND] tired [AND] jittery [IMPLY] gorgeous [PERIOD]
tired [IMPLY] dishonest [PERIOD]
dishonest [AND] attentive [AND] mean [IMPLY] confused [PERIOD]
dishonest [AND] wrong [IMPLY] glamorous [PERIOD]
dishonest [IMPLY] thoughtless [PERIOD]
mean [AND] glamorous [IMPLY] dishonest [PERIOD]
gorgeous [AND] mean [IMPLY] glamorous [PERIOD]
stormy [AND] mean [AND] worried [IMPLY] gorgeous [PERIOD]
tired [AND] stormy [AND] worried [IMPLY] gorgeous [PERIOD]
tired [AND] witty [AND] talkative [IMPLY] confused [PERIOD]
gorgeous [AND] jittery [IMPLY] attentive [PERIOD]
mean [IMPLY] confused [PERIOD]
gorgeous [IMPLY] witty [PERIOD]
stormy [AND] worried [IMPLY] mean [PERIOD]
worried [AND] dishonest [AND] talkative [IMPLY] jittery [PERIOD]
tired [AND] witty [AND] jittery [IMPLY] stormy [PERIOD]
talkative [IMPLY] mean [PERIOD]
thoughtless [IMPLY] dishonest [PERIOD]
talkative [AND] thoughtless [IMPLY] mean [PERIOD]
wrong [AND] witty [IMPLY] stormy [PERIOD]
witty [IMPLY] mean [PERIOD]
thoughtless [IMPLY] attentive [PERIOD]
worried [AND] wrong [IMPLY] witty [PERIOD]
confused [IMPLY] wrong [PERIOD]
worried [AND] stormy [AND] gorgeous [IMPLY] tired [PERIOD]
confused [AND] attentive [IMPLY] glamorous [PERIOD]
mean [IMPLY] jittery [PERIOD]
mean [AND] thoughtless [AND] glamorous [IMPLY] jittery [PERIOD]
jittery [AND] attentive [AND] stormy [IMPLY] gorgeous [PERIOD]
glamorous [AND] wrong [IMPLY] attentive [PERIOD]
confused [AND] glamorous [IMPLY] thoughtless [PERIOD]
confused [AND] wrong [IMPLY] attentive [PERIOD]
Query: Alice is tired [PERIOD]","Proof chain:
   dishonest ⇒ worried
   confused ⇒ stormy
   confused ∧ dishonest ⇒ jittery
   confused ∧ wrong ⇒ attentive
   confused ⇒ stormy
   jittery ∧ attentive ∧ stormy ⇒ gorgeous
   worried ∧ stormy ∧ gorgeous ⇒ tired
",1,7
"Facts:  Alice is light [PERIOD] Alice is versatile [PERIOD] Alice is careless [PERIOD] Alice is fancy [PERIOD] Alice is precious [PERIOD] Alice is elated [PERIOD] Alice is curious [PERIOD] Alice is talkative [PERIOD] Alice is embarrassed [PERIOD] Alice is mysterious [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
elated [AND] talkative [AND] versatile [IMPLY] light [PERIOD]
light [IMPLY] precious [PERIOD]
fancy [AND] versatile [IMPLY] embarrassed [PERIOD]
light [IMPLY] talkative [PERIOD]
light [AND] bad-tempered [IMPLY] curious [PERIOD]
bad-tempered [IMPLY] mysterious [PERIOD]
talkative [IMPLY] light [PERIOD]
embarrassed [AND] versatile [AND] precious [IMPLY] curious [PERIOD]
bad-tempered [AND] light [AND] embarrassed [IMPLY] versatile [PERIOD]
talkative [AND] versatile [AND] elated [IMPLY] careless [PERIOD]
curious [AND] fancy [IMPLY] careless [PERIOD]
precious [AND] fancy [IMPLY] versatile [PERIOD]
bad-tempered [IMPLY] curious [PERIOD]
bad-tempered [AND] careless [AND] precious [IMPLY] elated [PERIOD]
curious [IMPLY] elated [PERIOD]
talkative [IMPLY] careless [PERIOD]
talkative [AND] embarrassed [AND] light [IMPLY] careless [PERIOD]
embarrassed [IMPLY] careless [PERIOD]
light [AND] mysterious [AND] elated [IMPLY] embarrassed [PERIOD]
mysterious [AND] careless [IMPLY] fancy [PERIOD]
light [IMPLY] curious [PERIOD]
light [IMPLY] mysterious [PERIOD]
mysterious [AND] careless [AND] fancy [IMPLY] light [PERIOD]
light [AND] talkative [IMPLY] fancy [PERIOD]
bad-tempered [AND] careless [IMPLY] talkative [PERIOD]
careless [AND] fancy [IMPLY] bad-tempered [PERIOD]
fancy [IMPLY] elated [PERIOD]
careless [IMPLY] light [PERIOD]
mysterious [AND] embarrassed [IMPLY] light [PERIOD]
mysterious [AND] versatile [AND] curious [IMPLY] careless [PERIOD]
precious [AND] elated [AND] mysterious [IMPLY] versatile [PERIOD]
elated [AND] bad-tempered [AND] embarrassed [IMPLY] versatile [PERIOD]
versatile [AND] talkative [AND] light [IMPLY] curious [PERIOD]
bad-tempered [AND] fancy [IMPLY] careless [PERIOD]
talkative [AND] curious [AND] careless [IMPLY] light [PERIOD]
bad-tempered [IMPLY] elated [PERIOD]
bad-tempered [AND] curious [AND] fancy [IMPLY] embarrassed [PERIOD]
embarrassed [AND] light [IMPLY] elated [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is proud [PERIOD] Alice is thoughtless [PERIOD] Alice is popular [PERIOD] Alice is courageous [PERIOD] Alice is vivacious [PERIOD] Alice is selfish [PERIOD] Alice is condemned [PERIOD] Alice is cooperative [PERIOD] Alice is gorgeous [PERIOD] Alice is talented [PERIOD] Alice is naughty [PERIOD]
Rules:
famous [AND] embarrassed [AND] weary [IMPLY] uptight [PERIOD]
selfish [AND] popular [AND] uptight [IMPLY] naughty [PERIOD]
Query: Alice is long [PERIOD]","Proof chain:
   No rule concludes “long.”
",0,1
"Facts: 
Rules:
shiny [AND] hilarious [IMPLY] lonely [PERIOD]
lonely [IMPLY] worrisome [PERIOD]
reserved [AND] tense [AND] easy [IMPLY] amused [PERIOD]
easy [AND] sleepy [AND] shiny [IMPLY] talkative [PERIOD]
intellectual [IMPLY] naughty [PERIOD]
old-fashioned [IMPLY] tense [PERIOD]
worrisome [IMPLY] shiny [PERIOD]
talkative [AND] easy [IMPLY] distinct [PERIOD]
intellectual [AND] modern [AND] old-fashioned [IMPLY] tense [PERIOD]
amused [AND] smart [AND] modern [IMPLY] intellectual [PERIOD]
polite [AND] talkative [IMPLY] easy [PERIOD]
hilarious [AND] old-fashioned [IMPLY] intellectual [PERIOD]
lonely [AND] talkative [IMPLY] worrisome [PERIOD]
hilarious [AND] naughty [AND] old-fashioned [IMPLY] sleepy [PERIOD]
worrisome [AND] careless [AND] old-fashioned [IMPLY] lonely [PERIOD]
tense [IMPLY] hilarious [PERIOD]
old-fashioned [AND] amused [AND] sleepy [IMPLY] distinct [PERIOD]
shiny [AND] sleepy [AND] careless [IMPLY] modern [PERIOD]
easy [AND] worrisome [AND] smart [IMPLY] hilarious [PERIOD]
naughty [AND] polite [IMPLY] modern [PERIOD]
distinct [AND] naughty [IMPLY] shiny [PERIOD]
shiny [AND] distinct [AND] talkative [IMPLY] polite [PERIOD]
shiny [AND] lonely [IMPLY] polite [PERIOD]
tense [IMPLY] intellectual [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “easy ∧ sleepy ∧ shiny ⇒ talkative” because missing: easy, sleepy, shiny.
",0,1
"Facts: 
Rules:
thoughtless [IMPLY] nervous [PERIOD]
different [AND] nervous [IMPLY] elegant [PERIOD]
witty [AND] sensible [AND] shy [IMPLY] elegant [PERIOD]
shy [AND] nervous [IMPLY] thoughtless [PERIOD]
excited [AND] shy [AND] attentive [IMPLY] nervous [PERIOD]
excited [AND] sensible [IMPLY] perfect [PERIOD]
witty [AND] selfish [AND] elegant [IMPLY] pessimistic [PERIOD]
elegant [IMPLY] attentive [PERIOD]
shy [AND] selfish [AND] pessimistic [IMPLY] witty [PERIOD]
shy [AND] pessimistic [IMPLY] selfish [PERIOD]
elegant [AND] pessimistic [AND] nervous [IMPLY] selfish [PERIOD]
perfect [AND] pessimistic [AND] elegant [IMPLY] excited [PERIOD]
selfish [IMPLY] attentive [PERIOD]
excited [AND] selfish [AND] shy [IMPLY] nervous [PERIOD]
elegant [IMPLY] shy [PERIOD]
witty [AND] sensible [AND] thoughtless [IMPLY] excited [PERIOD]
shy [AND] nervous [AND] different [IMPLY] perfect [PERIOD]
different [AND] excited [IMPLY] shy [PERIOD]
excited [AND] elegant [AND] pessimistic [IMPLY] different [PERIOD]
elegant [AND] witty [AND] sensible [IMPLY] attentive [PERIOD]
elegant [AND] perfect [IMPLY] thoughtless [PERIOD]
selfish [IMPLY] thoughtless [PERIOD]
sensible [AND] excited [AND] shy [IMPLY] perfect [PERIOD]
pessimistic [AND] attentive [IMPLY] perfect [PERIOD]
attentive [AND] pessimistic [AND] sensible [IMPLY] thoughtless [PERIOD]
shy [AND] pessimistic [IMPLY] nervous [PERIOD]
sensible [IMPLY] shy [PERIOD]
witty [AND] nervous [IMPLY] perfect [PERIOD]
attentive [AND] selfish [AND] elegant [IMPLY] different [PERIOD]
pessimistic [AND] elegant [AND] attentive [IMPLY] thoughtless [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   Cannot apply rule “elegant ⇒ attentive” because missing: elegant.
   Cannot apply rule “selfish ⇒ attentive” because missing: selfish.
   Cannot apply rule “elegant ∧ witty ∧ sensible ⇒ attentive” because missing: elegant, witty, sensible.
",0,3
"Facts: 
Rules:
rude [AND] friendly [IMPLY] clean [PERIOD]
jittery [IMPLY] rational [PERIOD]
rude [AND] clean [IMPLY] alert [PERIOD]
friendly [AND] bored [AND] rational [IMPLY] rude [PERIOD]
clean [AND] friendly [AND] rude [IMPLY] gorgeous [PERIOD]
ugliest [IMPLY] friendly [PERIOD]
friendly [AND] thoughtful [AND] jittery [IMPLY] bored [PERIOD]
friendly [IMPLY] gorgeous [PERIOD]
rude [IMPLY] clean [PERIOD]
bored [AND] ugliest [AND] rude [IMPLY] thoughtful [PERIOD]
thoughtful [AND] jittery [IMPLY] ugliest [PERIOD]
gorgeous [AND] friendly [IMPLY] clean [PERIOD]
alert [AND] clean [IMPLY] bored [PERIOD]
clean [IMPLY] gorgeous [PERIOD]
rational [AND] alert [IMPLY] thoughtful [PERIOD]
thoughtful [AND] jittery [AND] alert [IMPLY] rude [PERIOD]
bored [AND] rational [IMPLY] ugliest [PERIOD]
rational [AND] ugliest [AND] rude [IMPLY] gorgeous [PERIOD]
rational [IMPLY] gorgeous [PERIOD]
jittery [AND] alert [IMPLY] rational [PERIOD]
jittery [IMPLY] clean [PERIOD]
rude [IMPLY] friendly [PERIOD]
jittery [IMPLY] friendly [PERIOD]
alert [AND] friendly [IMPLY] rational [PERIOD]
gorgeous [IMPLY] clean [PERIOD]
thoughtful [IMPLY] alert [PERIOD]
bored [AND] rude [IMPLY] gorgeous [PERIOD]
jittery [AND] gorgeous [AND] rational [IMPLY] rude [PERIOD]
alert [AND] gorgeous [AND] friendly [IMPLY] thoughtful [PERIOD]
ugliest [AND] rational [IMPLY] jittery [PERIOD]
ugliest [AND] rational [IMPLY] clean [PERIOD]
friendly [AND] rude [AND] gorgeous [IMPLY] clean [PERIOD]
friendly [AND] ugliest [AND] alert [IMPLY] rational [PERIOD]
clean [AND] rational [IMPLY] jittery [PERIOD]
alert [AND] gorgeous [AND] clean [IMPLY] ugliest [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   Cannot apply rule “rude ∧ clean ⇒ alert” because missing: rude, clean.
   Cannot apply rule “thoughtful ⇒ alert” because missing: thoughtful.
",0,2
"Facts:  Alice is aggressive [PERIOD] Alice is cruel [PERIOD] Alice is ugly [PERIOD] Alice is pleasant [PERIOD] Alice is confused [PERIOD]
Rules:
pessimistic [IMPLY] supportive [PERIOD]
worrisome [AND] nervous [AND] cruel [IMPLY] pessimistic [PERIOD]
serious [IMPLY] careless [PERIOD]
pleasant [AND] impatient [IMPLY] pessimistic [PERIOD]
beautiful [IMPLY] pessimistic [PERIOD]
worrisome [IMPLY] adorable [PERIOD]
shy [AND] adorable [AND] charming [IMPLY] pleasant [PERIOD]
beautiful [AND] foolish [IMPLY] worrisome [PERIOD]
worrisome [AND] bad-tempered [AND] charming [IMPLY] shy [PERIOD]
impatient [AND] bad-tempered [AND] shy [IMPLY] supportive [PERIOD]
careless [AND] aggressive [AND] rational [IMPLY] ugly [PERIOD]
rational [IMPLY] serious [PERIOD]
shy [AND] confused [IMPLY] serious [PERIOD]
nervous [AND] confused [IMPLY] bad-tempered [PERIOD]
ugly [AND] careless [AND] foolish [IMPLY] rational [PERIOD]
cruel [IMPLY] shy [PERIOD]
weary [IMPLY] ugly [PERIOD]
cruel [AND] adorable [IMPLY] wandering [PERIOD]
beautiful [IMPLY] rational [PERIOD]
pleasant [AND] ugly [AND] foolish [IMPLY] charming [PERIOD]
weary [AND] bad-tempered [IMPLY] serious [PERIOD]
beautiful [AND] wandering [IMPLY] foolish [PERIOD]
adorable [AND] supportive [IMPLY] foolish [PERIOD]
beautiful [AND] pessimistic [IMPLY] worrisome [PERIOD]
nervous [AND] pleasant [IMPLY] pessimistic [PERIOD]
careless [AND] bad-tempered [IMPLY] weary [PERIOD]
pleasant [AND] pessimistic [IMPLY] charming [PERIOD]
ugly [AND] pleasant [IMPLY] worrisome [PERIOD]
foolish [AND] bad-tempered [AND] nervous [IMPLY] weary [PERIOD]
wandering [IMPLY] nervous [PERIOD]
careless [AND] foolish [AND] pleasant [IMPLY] serious [PERIOD]
bad-tempered [AND] charming [AND] beautiful [IMPLY] careless [PERIOD]
shy [IMPLY] confused [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
   ugly ∧ pleasant ⇒ worrisome
   ugly ∧ pleasant ⇒ worrisome
   worrisome ⇒ adorable
   cruel ∧ adorable ⇒ wandering
   wandering ⇒ nervous
   worrisome ∧ nervous ∧ cruel ⇒ pessimistic
   pleasant ∧ pessimistic ⇒ charming
",1,7
"Facts: 
Rules:
proud [AND] jittery [IMPLY] serious [PERIOD]
perfect [IMPLY] dishonest [PERIOD]
jittery [AND] worrisome [IMPLY] joyous [PERIOD]
joyous [IMPLY] proud [PERIOD]
dishonest [AND] proud [AND] serious [IMPLY] perfect [PERIOD]
nervous [AND] thoughtful [IMPLY] shy [PERIOD]
thoughtful [IMPLY] perfect [PERIOD]
worrisome [AND] perfect [IMPLY] joyous [PERIOD]
jittery [AND] perfect [IMPLY] proud [PERIOD]
worrisome [AND] proud [AND] enchanting [IMPLY] jittery [PERIOD]
enchanting [AND] shy [IMPLY] jittery [PERIOD]
shy [AND] serious [AND] joyous [IMPLY] unpleasant [PERIOD]
thoughtful [AND] perfect [IMPLY] shy [PERIOD]
nervous [AND] proud [AND] perfect [IMPLY] joyous [PERIOD]
joyous [AND] enchanting [AND] unpleasant [IMPLY] perfect [PERIOD]
nervous [AND] enchanting [AND] unpleasant [IMPLY] perfect [PERIOD]
serious [IMPLY] thoughtful [PERIOD]
enchanting [IMPLY] perfect [PERIOD]
serious [AND] perfect [IMPLY] thoughtful [PERIOD]
shy [AND] worrisome [IMPLY] proud [PERIOD]
joyous [AND] thoughtful [AND] unpleasant [IMPLY] enchanting [PERIOD]
thoughtful [IMPLY] serious [PERIOD]
worrisome [IMPLY] nervous [PERIOD]
thoughtful [AND] nervous [AND] worrisome [IMPLY] dishonest [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   Cannot apply rule “perfect ⇒ dishonest” because missing: perfect.
   Cannot apply rule “thoughtful ∧ nervous ∧ worrisome ⇒ dishonest” because missing: thoughtful, nervous, worrisome.
",0,2
"Facts:  Alice is lucky [PERIOD] Alice is amused [PERIOD] Alice is cute [PERIOD] Alice is weary [PERIOD] Alice is mysterious [PERIOD] Alice is excited [PERIOD] Alice is helpless [PERIOD] Alice is fearless [PERIOD] Alice is messy [PERIOD] Alice is broad-minded [PERIOD] Alice is attentive [PERIOD] Alice is loving [PERIOD] Alice is rational [PERIOD] Alice is bossy [PERIOD] Alice is stupid [PERIOD]
Rules:
smart [AND] amused [AND] alert [IMPLY] mysterious [PERIOD]
mysterious [AND] stupid [IMPLY] weary [PERIOD]
modern [AND] anxious [IMPLY] cruel [PERIOD]
rational [IMPLY] good [PERIOD]
weary [AND] beautiful [AND] messy [IMPLY] good [PERIOD]
rational [AND] anxious [IMPLY] alert [PERIOD]
rational [IMPLY] smart [PERIOD]
anxious [IMPLY] bossy [PERIOD]
modern [IMPLY] cute [PERIOD]
broad-minded [AND] good [IMPLY] proud [PERIOD]
broad-minded [AND] modern [IMPLY] anxious [PERIOD]
amused [IMPLY] broad-minded [PERIOD]
proud [AND] stupid [IMPLY] helpless [PERIOD]
shiny [AND] stupid [IMPLY] excited [PERIOD]
good [IMPLY] frail [PERIOD]
mysterious [AND] cruel [IMPLY] alert [PERIOD]
broad-minded [AND] cute [IMPLY] proud [PERIOD]
mysterious [IMPLY] frail [PERIOD]
cute [IMPLY] proud [PERIOD]
mysterious [AND] attentive [IMPLY] modern [PERIOD]
attentive [AND] proud [AND] excited [IMPLY] smart [PERIOD]
alert [IMPLY] amused [PERIOD]
fearless [IMPLY] smart [PERIOD]
lucky [IMPLY] messy [PERIOD]
rational [IMPLY] different [PERIOD]
fearless [AND] different [IMPLY] smart [PERIOD]
anxious [AND] loving [IMPLY] smart [PERIOD]
mysterious [IMPLY] good [PERIOD]
beautiful [IMPLY] lucky [PERIOD]
excited [AND] broad-minded [IMPLY] smart [PERIOD]
excited [AND] anxious [IMPLY] cute [PERIOD]
modern [IMPLY] amused [PERIOD]
cute [AND] ugliest [IMPLY] alert [PERIOD]
shiny [AND] bossy [AND] stupid [IMPLY] smart [PERIOD]
alert [AND] cute [AND] stupid [IMPLY] rational [PERIOD]
modern [AND] joyous [IMPLY] good [PERIOD]
modern [AND] stupid [AND] attentive [IMPLY] weary [PERIOD]
amused [AND] modern [IMPLY] loving [PERIOD]
helpless [AND] beautiful [IMPLY] mysterious [PERIOD]
fearless [IMPLY] unpleasant [PERIOD]
broad-minded [AND] joyous [IMPLY] anxious [PERIOD]
messy [AND] proud [IMPLY] ugliest [PERIOD]
weary [AND] beautiful [IMPLY] rational [PERIOD]
excited [IMPLY] alert [PERIOD]
fearless [IMPLY] ugliest [PERIOD]
weary [AND] bad-tempered [IMPLY] different [PERIOD]
smart [AND] different [AND] alert [IMPLY] amused [PERIOD]
frail [AND] lucky [AND] fearless [IMPLY] bossy [PERIOD]
excited [IMPLY] modern [PERIOD]
shiny [IMPLY] ugliest [PERIOD]
lucky [IMPLY] proud [PERIOD]
broad-minded [AND] loving [IMPLY] modern [PERIOD]
shiny [IMPLY] broad-minded [PERIOD]
smart [IMPLY] unpleasant [PERIOD]
ugliest [IMPLY] weary [PERIOD]
shiny [IMPLY] rational [PERIOD]
modern [IMPLY] beautiful [PERIOD]
loving [IMPLY] excited [PERIOD]
loving [AND] lucky [AND] stupid [IMPLY] unpleasant [PERIOD]
beautiful [AND] mysterious [IMPLY] alert [PERIOD]
shiny [AND] anxious [AND] lucky [IMPLY] alert [PERIOD]
mysterious [AND] fearless [AND] amused [IMPLY] messy [PERIOD]
bad-tempered [AND] beautiful [IMPLY] alert [PERIOD]
attentive [IMPLY] modern [PERIOD]
attentive [IMPLY] joyous [PERIOD]
ugliest [AND] cute [IMPLY] rational [PERIOD]
smart [IMPLY] bad-tempered [PERIOD]
cute [AND] broad-minded [IMPLY] messy [PERIOD]
weary [IMPLY] loving [PERIOD]
loving [IMPLY] alert [PERIOD]
amused [IMPLY] alert [PERIOD]
stupid [IMPLY] good [PERIOD]
stupid [AND] attentive [AND] anxious [IMPLY] joyous [PERIOD]
cute [IMPLY] modern [PERIOD]
broad-minded [AND] cruel [IMPLY] mysterious [PERIOD]
smart [AND] mysterious [AND] loving [IMPLY] broad-minded [PERIOD]
messy [AND] helpless [IMPLY] bossy [PERIOD]
loving [AND] unpleasant [AND] attentive [IMPLY] frail [PERIOD]
stupid [AND] amused [AND] cruel [IMPLY] beautiful [PERIOD]
broad-minded [AND] proud [IMPLY] beautiful [PERIOD]
excited [IMPLY] mysterious [PERIOD]
proud [AND] lucky [IMPLY] bad-tempered [PERIOD]
attentive [AND] different [IMPLY] loving [PERIOD]
excited [AND] cruel [IMPLY] ugliest [PERIOD]
bad-tempered [AND] joyous [IMPLY] frail [PERIOD]
stupid [AND] attentive [AND] cute [IMPLY] modern [PERIOD]
cruel [AND] weary [IMPLY] beautiful [PERIOD]
alert [AND] modern [IMPLY] unpleasant [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   broad-minded ∧ cute ⇒ proud
   proud ∧ lucky ⇒ bad-tempered
",1,2
"Facts:  Alice is mysterious [PERIOD] Alice is clumsy [PERIOD] Alice is bored [PERIOD]
Rules:
bored [AND] unpleasant [AND] impatient [IMPLY] mysterious [PERIOD]
bored [AND] fancy [AND] mysterious [IMPLY] clumsy [PERIOD]
bored [IMPLY] mysterious [PERIOD]
fancy [IMPLY] unpleasant [PERIOD]
bored [AND] fancy [IMPLY] unpleasant [PERIOD]
impatient [AND] bored [AND] fancy [IMPLY] unpleasant [PERIOD]
clumsy [AND] fancy [IMPLY] mysterious [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   No rule concludes “impatient.”
",0,1
"Facts:  Alice is ugliest [PERIOD] Alice is sincere [PERIOD] Alice is confident [PERIOD]
Rules:
muddy [AND] crowded [AND] tense [IMPLY] innocent [PERIOD]
agreeable [AND] loving [AND] muddy [IMPLY] frantic [PERIOD]
innocent [IMPLY] supportive [PERIOD]
supportive [AND] agreeable [IMPLY] adorable [PERIOD]
stubborn [AND] muddy [IMPLY] crowded [PERIOD]
stubborn [IMPLY] supportive [PERIOD]
ugliest [AND] frantic [AND] crowded [IMPLY] muddy [PERIOD]
helpless [AND] adorable [IMPLY] agreeable [PERIOD]
sincere [AND] crowded [IMPLY] smart [PERIOD]
frantic [AND] agreeable [IMPLY] stubborn [PERIOD]
tense [AND] agreeable [AND] confident [IMPLY] innocent [PERIOD]
smart [AND] tense [AND] supportive [IMPLY] frantic [PERIOD]
sincere [AND] confident [IMPLY] stubborn [PERIOD]
agreeable [AND] muddy [IMPLY] smart [PERIOD]
agreeable [IMPLY] stupid [PERIOD]
confident [AND] sincere [IMPLY] innocent [PERIOD]
alert [IMPLY] sincere [PERIOD]
supportive [AND] stupid [AND] adorable [IMPLY] muddy [PERIOD]
agreeable [AND] tense [IMPLY] muddy [PERIOD]
stupid [AND] ugliest [AND] confident [IMPLY] helpless [PERIOD]
supportive [AND] frantic [IMPLY] alert [PERIOD]
vivacious [AND] sincere [IMPLY] smart [PERIOD]
confident [AND] sincere [AND] helpless [IMPLY] ugliest [PERIOD]
helpless [AND] vivacious [IMPLY] smart [PERIOD]
crowded [AND] stubborn [AND] stupid [IMPLY] adorable [PERIOD]
frantic [AND] loving [AND] adorable [IMPLY] smart [PERIOD]
innocent [AND] ugliest [IMPLY] crowded [PERIOD]
tense [AND] ugliest [IMPLY] muddy [PERIOD]
loving [IMPLY] crowded [PERIOD]
vivacious [AND] tense [AND] smart [IMPLY] loving [PERIOD]
stubborn [AND] smart [AND] supportive [IMPLY] adorable [PERIOD]
frantic [IMPLY] supportive [PERIOD]
smart [AND] helpless [AND] vivacious [IMPLY] crowded [PERIOD]
tense [AND] smart [AND] innocent [IMPLY] crowded [PERIOD]
adorable [AND] crowded [IMPLY] agreeable [PERIOD]
tense [AND] stubborn [IMPLY] crowded [PERIOD]
vivacious [AND] ugliest [IMPLY] crowded [PERIOD]
crowded [AND] supportive [IMPLY] agreeable [PERIOD]
vivacious [AND] stubborn [AND] helpless [IMPLY] supportive [PERIOD]
smart [AND] helpless [IMPLY] frantic [PERIOD]
loving [AND] helpless [AND] smart [IMPLY] alert [PERIOD]
muddy [AND] vivacious [AND] crowded [IMPLY] frantic [PERIOD]
agreeable [AND] loving [IMPLY] tense [PERIOD]
vivacious [AND] agreeable [AND] stubborn [IMPLY] loving [PERIOD]
agreeable [AND] stubborn [AND] alert [IMPLY] sincere [PERIOD]
smart [IMPLY] frantic [PERIOD]
innocent [AND] alert [IMPLY] stubborn [PERIOD]
stubborn [AND] tense [AND] loving [IMPLY] innocent [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   confident ∧ sincere ⇒ innocent
   innocent ∧ ugliest ⇒ crowded
   sincere ∧ crowded ⇒ smart
   smart ⇒ frantic
",1,4
"Facts:  Alice is charming [PERIOD] Alice is uptight [PERIOD]
Rules:
wrong [IMPLY] bright [PERIOD]
uptight [AND] ambitious [AND] curious [IMPLY] charming [PERIOD]
homely [AND] uptight [IMPLY] bright [PERIOD]
proud [AND] uptight [AND] ambitious [IMPLY] lucky [PERIOD]
stupid [AND] lucky [AND] shy [IMPLY] bright [PERIOD]
lucky [IMPLY] stupid [PERIOD]
lucky [AND] proud [AND] shy [IMPLY] charming [PERIOD]
charming [IMPLY] uptight [PERIOD]
shiny [IMPLY] curious [PERIOD]
ambitious [AND] proud [IMPLY] shiny [PERIOD]
curious [IMPLY] stupid [PERIOD]
curious [AND] shiny [IMPLY] uptight [PERIOD]
ambitious [AND] shy [AND] charming [IMPLY] lucky [PERIOD]
shiny [IMPLY] lucky [PERIOD]
proud [IMPLY] lucky [PERIOD]
shy [AND] proud [AND] curious [IMPLY] wrong [PERIOD]
shy [AND] stupid [IMPLY] shiny [PERIOD]
shy [IMPLY] homely [PERIOD]
uptight [AND] shiny [IMPLY] wrong [PERIOD]
proud [IMPLY] charming [PERIOD]
proud [AND] uptight [AND] shy [IMPLY] charming [PERIOD]
stupid [IMPLY] charming [PERIOD]
homely [AND] wrong [AND] stupid [IMPLY] uptight [PERIOD]
proud [IMPLY] ambitious [PERIOD]
bright [AND] proud [AND] charming [IMPLY] stupid [PERIOD]
bright [IMPLY] shy [PERIOD]
proud [AND] uptight [IMPLY] shy [PERIOD]
homely [AND] ambitious [AND] charming [IMPLY] uptight [PERIOD]
uptight [IMPLY] bright [PERIOD]
curious [IMPLY] bright [PERIOD]
curious [IMPLY] shy [PERIOD]
charming [AND] shiny [AND] shy [IMPLY] lucky [PERIOD]
stupid [IMPLY] shy [PERIOD]
charming [AND] stupid [IMPLY] ambitious [PERIOD]
wrong [IMPLY] shy [PERIOD]
stupid [AND] shiny [IMPLY] curious [PERIOD]
homely [AND] stupid [AND] proud [IMPLY] shy [PERIOD]
proud [AND] curious [IMPLY] lucky [PERIOD]
ambitious [AND] charming [IMPLY] homely [PERIOD]
bright [AND] stupid [IMPLY] wrong [PERIOD]
stupid [AND] proud [IMPLY] charming [PERIOD]
lucky [IMPLY] bright [PERIOD]
proud [AND] uptight [AND] shiny [IMPLY] bright [PERIOD]
charming [IMPLY] homely [PERIOD]
proud [AND] shy [IMPLY] lucky [PERIOD]
homely [AND] lucky [IMPLY] shiny [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   Cannot apply rule “ambitious ∧ proud ⇒ shiny” because missing: ambitious, proud.
   uptight ⇒ bright
   bright ⇒ shy
   Cannot apply rule “shy ∧ stupid ⇒ shiny” because missing: stupid.
   charming ⇒ homely
   Cannot apply rule “homely ∧ lucky ⇒ shiny” because missing: lucky.
",0,6
"Facts:  Alice is witty [PERIOD]
Rules:
witty [IMPLY] worried [PERIOD]
hilarious [AND] light [AND] sincere [IMPLY] hypocritical [PERIOD]
worried [AND] hilarious [AND] witty [IMPLY] hypocritical [PERIOD]
light [AND] sincere [AND] hilarious [IMPLY] witty [PERIOD]
hilarious [AND] hypocritical [IMPLY] worried [PERIOD]
witty [IMPLY] hilarious [PERIOD]
witty [AND] spotless [AND] worried [IMPLY] sincere [PERIOD]
worried [IMPLY] witty [PERIOD]
worried [AND] sincere [AND] light [IMPLY] spotless [PERIOD]
sincere [IMPLY] hypocritical [PERIOD]
witty [AND] hilarious [IMPLY] worried [PERIOD]
sincere [IMPLY] witty [PERIOD]
hilarious [AND] light [AND] witty [IMPLY] worried [PERIOD]
worried [AND] light [IMPLY] spotless [PERIOD]
witty [AND] sincere [IMPLY] light [PERIOD]
witty [AND] spotless [AND] sincere [IMPLY] hilarious [PERIOD]
hypocritical [IMPLY] hilarious [PERIOD]
hypocritical [IMPLY] spotless [PERIOD]
light [AND] worried [AND] sincere [IMPLY] hypocritical [PERIOD]
light [AND] sincere [IMPLY] spotless [PERIOD]
sincere [AND] spotless [IMPLY] hypocritical [PERIOD]
witty [AND] worried [IMPLY] sincere [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   witty ⇒ worried
   witty ∧ worried ⇒ sincere
   witty ∧ sincere ⇒ light
",1,3
"Facts:  Alice is clean [PERIOD] Alice is blushing [PERIOD] Alice is old-fashioned [PERIOD] Alice is plain [PERIOD] Alice is talkative [PERIOD]
Rules:
clean [IMPLY] gleaming [PERIOD]
elated [AND] old-fashioned [IMPLY] blushing [PERIOD]
clean [AND] old-fashioned [AND] average [IMPLY] bad-tempered [PERIOD]
gleaming [AND] talkative [IMPLY] plain [PERIOD]
gleaming [AND] bad-tempered [AND] elated [IMPLY] plain [PERIOD]
elated [AND] talkative [IMPLY] bad-tempered [PERIOD]
plain [AND] gleaming [AND] bad-tempered [IMPLY] elated [PERIOD]
average [AND] elated [AND] talkative [IMPLY] bad-tempered [PERIOD]
plain [AND] blushing [AND] average [IMPLY] gleaming [PERIOD]
elated [AND] clean [AND] average [IMPLY] gleaming [PERIOD]
old-fashioned [IMPLY] clean [PERIOD]
elated [IMPLY] average [PERIOD]
clean [AND] talkative [AND] lucky [IMPLY] bad-tempered [PERIOD]
old-fashioned [AND] bad-tempered [IMPLY] talkative [PERIOD]
talkative [AND] old-fashioned [IMPLY] plain [PERIOD]
old-fashioned [AND] blushing [IMPLY] bad-tempered [PERIOD]
gleaming [AND] talkative [AND] elated [IMPLY] old-fashioned [PERIOD]
average [AND] plain [AND] talkative [IMPLY] clean [PERIOD]
bad-tempered [IMPLY] average [PERIOD]
lucky [AND] talkative [AND] elated [IMPLY] average [PERIOD]
lucky [AND] gleaming [AND] clean [IMPLY] talkative [PERIOD]
average [AND] plain [AND] clean [IMPLY] talkative [PERIOD]
talkative [AND] average [AND] plain [IMPLY] blushing [PERIOD]
lucky [AND] talkative [AND] bad-tempered [IMPLY] plain [PERIOD]
average [AND] talkative [IMPLY] old-fashioned [PERIOD]
average [AND] talkative [AND] old-fashioned [IMPLY] bad-tempered [PERIOD]
gleaming [AND] talkative [AND] old-fashioned [IMPLY] elated [PERIOD]
blushing [AND] elated [IMPLY] talkative [PERIOD]
gleaming [AND] bad-tempered [IMPLY] old-fashioned [PERIOD]
plain [AND] gleaming [IMPLY] average [PERIOD]
average [AND] plain [AND] gleaming [IMPLY] bad-tempered [PERIOD]
clean [AND] elated [IMPLY] blushing [PERIOD]
lucky [IMPLY] talkative [PERIOD]
elated [AND] plain [AND] lucky [IMPLY] blushing [PERIOD]
blushing [AND] plain [AND] elated [IMPLY] lucky [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   clean ⇒ gleaming
   old-fashioned ∧ blushing ⇒ bad-tempered
   plain ∧ gleaming ∧ bad-tempered ⇒ elated
   blushing ∧ plain ∧ elated ⇒ lucky
",1,4
"Facts:  Alice is busy [PERIOD] Alice is impartial [PERIOD]
Rules:
ugliest [AND] victorious [IMPLY] impartial [PERIOD]
mean [AND] cooperative [AND] curious [IMPLY] bright [PERIOD]
uptight [IMPLY] cooperative [PERIOD]
bright [AND] impartial [IMPLY] victorious [PERIOD]
ugliest [AND] naughty [IMPLY] bright [PERIOD]
naughty [AND] bright [AND] uptight [IMPLY] mean [PERIOD]
bright [AND] busy [IMPLY] impartial [PERIOD]
bright [AND] impartial [AND] cooperative [IMPLY] victorious [PERIOD]
bright [AND] naughty [IMPLY] mean [PERIOD]
mean [AND] busy [AND] cooperative [IMPLY] curious [PERIOD]
victorious [AND] cooperative [IMPLY] mean [PERIOD]
cooperative [AND] curious [AND] uptight [IMPLY] busy [PERIOD]
impartial [IMPLY] busy [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   Cannot apply rule “mean ∧ cooperative ∧ curious ⇒ bright” because missing: mean, cooperative, curious.
   Cannot apply rule “ugliest ∧ naughty ⇒ bright” because missing: ugliest, naughty.
",0,2
"Facts:  Alice is outstanding [PERIOD] Alice is lucky [PERIOD] Alice is versatile [PERIOD] Alice is wrong [PERIOD] Alice is supportive [PERIOD] Alice is talented [PERIOD] Alice is thoughtful [PERIOD] Alice is fearless [PERIOD] Alice is wide-eyed [PERIOD] Alice is bossy [PERIOD]
Rules:
good [AND] gorgeous [IMPLY] fine [PERIOD]
good [IMPLY] cute [PERIOD]
cute [IMPLY] wide-eyed [PERIOD]
thoughtful [AND] wrong [AND] lucky [IMPLY] crowded [PERIOD]
good [AND] homely [AND] versatile [IMPLY] ugly [PERIOD]
crowded [AND] easy [IMPLY] gorgeous [PERIOD]
agreeable [AND] versatile [IMPLY] thoughtful [PERIOD]
supportive [AND] old-fashioned [IMPLY] versatile [PERIOD]
cute [AND] gorgeous [IMPLY] wide-eyed [PERIOD]
ambitious [AND] homely [AND] polite [IMPLY] fine [PERIOD]
old-fashioned [AND] sincere [IMPLY] agreeable [PERIOD]
bossy [AND] difficult [AND] outstanding [IMPLY] ambitious [PERIOD]
supportive [AND] lucky [AND] old-fashioned [IMPLY] crowded [PERIOD]
good [AND] ugly [AND] polite [IMPLY] sincere [PERIOD]
easy [AND] polite [IMPLY] old-fashioned [PERIOD]
uptight [AND] talented [AND] ugly [IMPLY] supportive [PERIOD]
lucky [AND] ugly [IMPLY] fearless [PERIOD]
agreeable [AND] supportive [AND] wrong [IMPLY] wide-eyed [PERIOD]
crowded [IMPLY] difficult [PERIOD]
outstanding [IMPLY] weary [PERIOD]
outstanding [IMPLY] supportive [PERIOD]
crowded [IMPLY] serious [PERIOD]
lonely [IMPLY] cute [PERIOD]
serious [IMPLY] ugly [PERIOD]
sincere [IMPLY] easy [PERIOD]
serious [IMPLY] agreeable [PERIOD]
gorgeous [AND] lonely [AND] homely [IMPLY] fine [PERIOD]
wide-eyed [AND] old-fashioned [IMPLY] outstanding [PERIOD]
supportive [IMPLY] easy [PERIOD]
bossy [AND] old-fashioned [AND] talented [IMPLY] ugly [PERIOD]
supportive [AND] lucky [IMPLY] wide-eyed [PERIOD]
wrong [AND] talented [IMPLY] outstanding [PERIOD]
supportive [IMPLY] ugly [PERIOD]
versatile [IMPLY] wrong [PERIOD]
old-fashioned [AND] fearless [AND] uptight [IMPLY] weary [PERIOD]
talented [AND] difficult [IMPLY] versatile [PERIOD]
wrong [IMPLY] lucky [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   No rule concludes “homely.”
",0,1
"Facts:  Alice is cooperative [PERIOD] Alice is aggressive [PERIOD] Alice is tidy [PERIOD] Alice is ugliest [PERIOD]
Rules:
condemned [IMPLY] hypocritical [PERIOD]
tidy [AND] hypocritical [IMPLY] plain [PERIOD]
plain [IMPLY] hypocritical [PERIOD]
tidy [AND] stormy [AND] frightened [IMPLY] ugliest [PERIOD]
cooperative [AND] aggressive [IMPLY] hypocritical [PERIOD]
helpless [AND] frightened [IMPLY] condemned [PERIOD]
tidy [AND] cooperative [IMPLY] plain [PERIOD]
aggressive [AND] frightened [AND] ugliest [IMPLY] hypocritical [PERIOD]
plain [AND] ugliest [AND] helpless [IMPLY] frightened [PERIOD]
plain [AND] ugliest [AND] tidy [IMPLY] hypocritical [PERIOD]
hypocritical [AND] stormy [AND] tidy [IMPLY] cooperative [PERIOD]
aggressive [AND] frightened [AND] cooperative [IMPLY] condemned [PERIOD]
condemned [IMPLY] frightened [PERIOD]
cooperative [AND] ugliest [IMPLY] tidy [PERIOD]
ugliest [AND] hypocritical [IMPLY] helpless [PERIOD]
hypocritical [AND] cooperative [AND] ugliest [IMPLY] helpless [PERIOD]
helpless [AND] cooperative [IMPLY] plain [PERIOD]
hypocritical [AND] plain [AND] condemned [IMPLY] ugliest [PERIOD]
frightened [AND] hypocritical [IMPLY] plain [PERIOD]
helpless [IMPLY] tidy [PERIOD]
frightened [IMPLY] tidy [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
   cooperative ∧ aggressive ⇒ hypocritical
   ugliest ∧ hypocritical ⇒ helpless
   tidy ∧ cooperative ⇒ plain
   cooperative ∧ aggressive ⇒ hypocritical
   ugliest ∧ hypocritical ⇒ helpless
   plain ∧ ugliest ∧ helpless ⇒ frightened
   helpless ∧ frightened ⇒ condemned
",1,7
"Facts:  Alice is blushing [PERIOD]
Rules:
blushing [AND] enchanting [IMPLY] grumpy [PERIOD]
inquisitive [IMPLY] ugly [PERIOD]
grumpy [AND] inquisitive [IMPLY] ugly [PERIOD]
inquisitive [AND] enchanting [AND] blushing [IMPLY] ugly [PERIOD]
inquisitive [IMPLY] grumpy [PERIOD]
blushing [AND] ugly [AND] inquisitive [IMPLY] enchanting [PERIOD]
grumpy [AND] ugly [AND] blushing [IMPLY] inquisitive [PERIOD]
enchanting [IMPLY] grumpy [PERIOD]
enchanting [IMPLY] blushing [PERIOD]
blushing [AND] ugly [IMPLY] enchanting [PERIOD]
grumpy [AND] inquisitive [IMPLY] enchanting [PERIOD]
blushing [AND] inquisitive [IMPLY] grumpy [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   Cannot apply rule “blushing ∧ enchanting ⇒ grumpy” because missing: enchanting.
   Cannot apply rule “inquisitive ⇒ grumpy” because missing: inquisitive.
   Cannot apply rule “enchanting ⇒ grumpy” because missing: enchanting.
   Cannot apply rule “blushing ∧ inquisitive ⇒ grumpy” because missing: inquisitive.
",0,4
"Facts:  Alice is quaint [PERIOD] Alice is bossy [PERIOD] Alice is condemned [PERIOD] Alice is gorgeous [PERIOD] Alice is broad-minded [PERIOD] Alice is cruel [PERIOD] Alice is helpful [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
bossy [IMPLY] glamorous [PERIOD]
disobedient [AND] hypocritical [IMPLY] helpful [PERIOD]
gorgeous [AND] old-fashioned [IMPLY] quaint [PERIOD]
comfortable [AND] broad-minded [IMPLY] muddy [PERIOD]
hypocritical [IMPLY] sensible [PERIOD]
crowded [AND] supportive [AND] glamorous [IMPLY] unpleasant [PERIOD]
popular [AND] precious [IMPLY] serious [PERIOD]
unpleasant [AND] bossy [AND] crowded [IMPLY] comfortable [PERIOD]
broad-minded [AND] precious [IMPLY] comfortable [PERIOD]
precious [AND] quaint [IMPLY] disobedient [PERIOD]
dull [AND] gifted [AND] hypocritical [IMPLY] glamorous [PERIOD]
crowded [IMPLY] clumsy [PERIOD]
comfortable [AND] serious [AND] condemned [IMPLY] muddy [PERIOD]
disobedient [IMPLY] precious [PERIOD]
crowded [AND] polite [IMPLY] unpleasant [PERIOD]
crowded [IMPLY] serious [PERIOD]
popular [AND] dull [AND] broad-minded [IMPLY] disobedient [PERIOD]
condemned [AND] bossy [IMPLY] serious [PERIOD]
crowded [AND] unpleasant [AND] gorgeous [IMPLY] sensible [PERIOD]
hypocritical [AND] unpleasant [AND] quaint [IMPLY] fragile [PERIOD]
gifted [IMPLY] supportive [PERIOD]
unpleasant [AND] muddy [AND] clumsy [IMPLY] popular [PERIOD]
sensible [IMPLY] precious [PERIOD]
muddy [AND] gifted [AND] comfortable [IMPLY] sensible [PERIOD]
muddy [AND] unpleasant [IMPLY] hypocritical [PERIOD]
popular [AND] disobedient [AND] bossy [IMPLY] supportive [PERIOD]
fragile [AND] condemned [IMPLY] broad-minded [PERIOD]
glamorous [IMPLY] gorgeous [PERIOD]
broad-minded [AND] crowded [IMPLY] gorgeous [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   Cannot apply rule “comfortable ∧ broad-minded ⇒ muddy” because missing: comfortable.
   condemned ∧ bossy ⇒ serious
   Cannot apply rule “comfortable ∧ serious ∧ condemned ⇒ muddy” because missing: comfortable.
",0,3
"Facts:  Alice is inexpensive [PERIOD] Alice is careless [PERIOD] Alice is helpful [PERIOD]
Rules:
adorable [AND] grumpy [IMPLY] calm [PERIOD]
ambitious [AND] rude [AND] thoughtful [IMPLY] calm [PERIOD]
anxious [IMPLY] ambitious [PERIOD]
versatile [IMPLY] helpful [PERIOD]
nervous [AND] sleepy [AND] outstanding [IMPLY] careless [PERIOD]
strange [IMPLY] helpful [PERIOD]
grumpy [AND] anxious [IMPLY] adorable [PERIOD]
bored [AND] strange [AND] sleepy [IMPLY] stubborn [PERIOD]
sleepy [AND] elegant [IMPLY] disgusted [PERIOD]
nervous [AND] strange [IMPLY] disgusted [PERIOD]
witty [AND] thoughtful [IMPLY] proud [PERIOD]
calm [IMPLY] anxious [PERIOD]
versatile [AND] sleepy [IMPLY] elegant [PERIOD]
rude [AND] bored [IMPLY] ambitious [PERIOD]
thoughtful [AND] disgusted [IMPLY] anxious [PERIOD]
proud [AND] calm [IMPLY] stubborn [PERIOD]
witty [IMPLY] grumpy [PERIOD]
outstanding [AND] thoughtful [IMPLY] nervous [PERIOD]
nervous [AND] careless [AND] bored [IMPLY] grumpy [PERIOD]
witty [AND] mysterious [AND] helpful [IMPLY] bored [PERIOD]
thoughtful [AND] ambitious [IMPLY] elegant [PERIOD]
inexpensive [AND] thoughtful [AND] fragile [IMPLY] ambitious [PERIOD]
anxious [IMPLY] thoughtful [PERIOD]
versatile [AND] disgusted [IMPLY] grumpy [PERIOD]
grumpy [AND] elegant [IMPLY] outstanding [PERIOD]
grumpy [IMPLY] proud [PERIOD]
calm [AND] ambitious [IMPLY] anxious [PERIOD]
versatile [AND] adorable [IMPLY] strange [PERIOD]
strange [IMPLY] bored [PERIOD]
fragile [AND] ambitious [IMPLY] anxious [PERIOD]
proud [IMPLY] inexpensive [PERIOD]
elegant [IMPLY] strange [PERIOD]
grumpy [IMPLY] adorable [PERIOD]
helpful [IMPLY] tense [PERIOD]
versatile [AND] strange [IMPLY] bored [PERIOD]
calm [AND] nervous [AND] stubborn [IMPLY] proud [PERIOD]
thoughtful [IMPLY] light [PERIOD]
outstanding [AND] tense [AND] grumpy [IMPLY] proud [PERIOD]
rude [AND] calm [IMPLY] stubborn [PERIOD]
rude [AND] inexpensive [AND] thoughtful [IMPLY] mysterious [PERIOD]
disgusted [AND] thoughtful [IMPLY] tense [PERIOD]
thoughtful [IMPLY] careless [PERIOD]
strange [AND] outstanding [AND] proud [IMPLY] thoughtful [PERIOD]
helpful [IMPLY] strange [PERIOD]
adorable [IMPLY] outstanding [PERIOD]
light [AND] witty [AND] elegant [IMPLY] proud [PERIOD]
ambitious [AND] proud [IMPLY] strange [PERIOD]
calm [IMPLY] stubborn [PERIOD]
adorable [AND] unpleasant [IMPLY] stubborn [PERIOD]
witty [IMPLY] helpful [PERIOD]
proud [IMPLY] stubborn [PERIOD]
unpleasant [AND] light [IMPLY] disgusted [PERIOD]
nervous [AND] thoughtful [AND] mysterious [IMPLY] strange [PERIOD]
adorable [AND] careless [AND] grumpy [IMPLY] inexpensive [PERIOD]
sleepy [AND] nervous [IMPLY] tense [PERIOD]
versatile [AND] bored [AND] light [IMPLY] disgusted [PERIOD]
unpleasant [IMPLY] anxious [PERIOD]
mysterious [AND] bored [AND] inexpensive [IMPLY] calm [PERIOD]
helpful [IMPLY] inexpensive [PERIOD]
outstanding [AND] witty [AND] inexpensive [IMPLY] anxious [PERIOD]
careless [AND] stubborn [AND] unpleasant [IMPLY] calm [PERIOD]
sleepy [AND] anxious [AND] adorable [IMPLY] light [PERIOD]
grumpy [AND] stubborn [IMPLY] bored [PERIOD]
outstanding [AND] witty [IMPLY] adorable [PERIOD]
proud [AND] rude [IMPLY] careless [PERIOD]
fragile [AND] stubborn [IMPLY] sleepy [PERIOD]
anxious [IMPLY] nervous [PERIOD]
mysterious [AND] nervous [AND] strange [IMPLY] rude [PERIOD]
stubborn [IMPLY] disgusted [PERIOD]
sleepy [AND] versatile [AND] fragile [IMPLY] mysterious [PERIOD]
anxious [AND] mysterious [AND] strange [IMPLY] helpful [PERIOD]
outstanding [AND] nervous [IMPLY] grumpy [PERIOD]
anxious [AND] proud [AND] tense [IMPLY] thoughtful [PERIOD]
proud [AND] mysterious [AND] disgusted [IMPLY] elegant [PERIOD]
witty [IMPLY] proud [PERIOD]
outstanding [AND] thoughtful [AND] witty [IMPLY] versatile [PERIOD]
calm [IMPLY] proud [PERIOD]
careless [AND] tense [AND] grumpy [IMPLY] helpful [PERIOD]
inexpensive [IMPLY] mysterious [PERIOD]
versatile [AND] ambitious [IMPLY] thoughtful [PERIOD]
calm [IMPLY] careless [PERIOD]
strange [IMPLY] thoughtful [PERIOD]
unpleasant [AND] nervous [AND] strange [IMPLY] witty [PERIOD]
unpleasant [IMPLY] elegant [PERIOD]
anxious [IMPLY] mysterious [PERIOD]
tense [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] nervous [PERIOD]
proud [IMPLY] ambitious [PERIOD]
mysterious [IMPLY] elegant [PERIOD]
unpleasant [AND] inexpensive [AND] light [IMPLY] ambitious [PERIOD]
strange [AND] light [AND] thoughtful [IMPLY] fragile [PERIOD]
tense [AND] calm [IMPLY] bored [PERIOD]
calm [AND] versatile [IMPLY] tense [PERIOD]
mysterious [IMPLY] calm [PERIOD]
outstanding [IMPLY] disgusted [PERIOD]
mysterious [AND] strange [AND] helpful [IMPLY] light [PERIOD]
anxious [AND] rude [IMPLY] mysterious [PERIOD]
adorable [IMPLY] witty [PERIOD]
strange [AND] outstanding [AND] bored [IMPLY] tense [PERIOD]
outstanding [IMPLY] stubborn [PERIOD]
versatile [AND] bored [AND] helpful [IMPLY] strange [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   inexpensive ⇒ mysterious
   mysterious ⇒ calm
   calm ⇒ stubborn
",1,3
"Facts:  Alice is glamorous [PERIOD] Alice is plain [PERIOD] Alice is tense [PERIOD] Alice is inexpensive [PERIOD] Alice is straightforward [PERIOD] Alice is lonely [PERIOD] Alice is sincere [PERIOD] Alice is gifted [PERIOD] Alice is victorious [PERIOD]
Rules:
ugly [IMPLY] tense [PERIOD]
curious [IMPLY] helpless [PERIOD]
helpless [AND] curious [IMPLY] attentive [PERIOD]
victorious [AND] witty [IMPLY] curious [PERIOD]
glamorous [IMPLY] tense [PERIOD]
plain [AND] sincere [IMPLY] glamorous [PERIOD]
plain [IMPLY] curious [PERIOD]
witty [AND] straightforward [AND] plain [IMPLY] lonely [PERIOD]
lonely [IMPLY] attentive [PERIOD]
victorious [IMPLY] loving [PERIOD]
straightforward [IMPLY] helpless [PERIOD]
helpless [AND] straightforward [IMPLY] tense [PERIOD]
straightforward [IMPLY] tense [PERIOD]
gifted [IMPLY] loving [PERIOD]
sincere [IMPLY] lonely [PERIOD]
lonely [IMPLY] plain [PERIOD]
glamorous [AND] curious [AND] talented [IMPLY] loving [PERIOD]
sincere [AND] loving [AND] ugly [IMPLY] victorious [PERIOD]
gifted [AND] curious [AND] plain [IMPLY] victorious [PERIOD]
sincere [AND] witty [IMPLY] tense [PERIOD]
attentive [AND] gifted [IMPLY] sincere [PERIOD]
plain [IMPLY] lonely [PERIOD]
helpless [AND] straightforward [AND] talented [IMPLY] loving [PERIOD]
sincere [AND] straightforward [AND] glamorous [IMPLY] gifted [PERIOD]
tense [AND] gifted [AND] lonely [IMPLY] attentive [PERIOD]
talented [AND] gifted [AND] loving [IMPLY] witty [PERIOD]
inexpensive [IMPLY] sincere [PERIOD]
tense [IMPLY] witty [PERIOD]
gifted [IMPLY] glamorous [PERIOD]
tense [AND] attentive [IMPLY] inexpensive [PERIOD]
attentive [AND] lonely [AND] tense [IMPLY] glamorous [PERIOD]
plain [IMPLY] gifted [PERIOD]
attentive [IMPLY] gifted [PERIOD]
victorious [IMPLY] attentive [PERIOD]
inexpensive [AND] straightforward [AND] attentive [IMPLY] curious [PERIOD]
ugly [AND] straightforward [AND] inexpensive [IMPLY] curious [PERIOD]
witty [IMPLY] talented [PERIOD]
gifted [IMPLY] ugly [PERIOD]
tense [AND] loving [AND] straightforward [IMPLY] sincere [PERIOD]
inexpensive [AND] curious [IMPLY] victorious [PERIOD]
victorious [AND] curious [AND] inexpensive [IMPLY] glamorous [PERIOD]
straightforward [AND] ugly [IMPLY] tense [PERIOD]
curious [AND] helpless [AND] witty [IMPLY] plain [PERIOD]
witty [AND] loving [AND] victorious [IMPLY] straightforward [PERIOD]
witty [AND] lonely [AND] inexpensive [IMPLY] talented [PERIOD]
lonely [IMPLY] curious [PERIOD]
talented [IMPLY] inexpensive [PERIOD]
attentive [IMPLY] sincere [PERIOD]
loving [AND] sincere [IMPLY] helpless [PERIOD]
ugly [AND] tense [AND] attentive [IMPLY] helpless [PERIOD]
glamorous [AND] loving [AND] gifted [IMPLY] victorious [PERIOD]
witty [IMPLY] ugly [PERIOD]
tense [AND] gifted [AND] witty [IMPLY] helpless [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is embarrassed [PERIOD] Alice is bad-tempered [PERIOD] Alice is weary [PERIOD] Alice is shy [PERIOD] Alice is condemned [PERIOD] Alice is elated [PERIOD] Alice is careless [PERIOD] Alice is straightforward [PERIOD] Alice is shiny [PERIOD]
Rules:
disgusted [AND] gorgeous [AND] wrong [IMPLY] polite [PERIOD]
confident [AND] nervous [AND] muddy [IMPLY] vivacious [PERIOD]
bad-tempered [IMPLY] agreeable [PERIOD]
careless [AND] tidy [IMPLY] adorable [PERIOD]
agreeable [IMPLY] muddy [PERIOD]
shy [AND] vivacious [IMPLY] adorable [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   bad-tempered ⇒ agreeable
   agreeable ⇒ muddy
   Cannot apply rule “confident ∧ nervous ∧ muddy ⇒ vivacious” because missing: confident, nervous.
",0,3
"Facts: 
Rules:
popular [IMPLY] disobedient [PERIOD]
confident [IMPLY] careless [PERIOD]
stubborn [IMPLY] confident [PERIOD]
charming [AND] versatile [AND] perfect [IMPLY] ugliest [PERIOD]
ugliest [AND] popular [AND] versatile [IMPLY] attractive [PERIOD]
confident [IMPLY] attractive [PERIOD]
stubborn [IMPLY] ugliest [PERIOD]
disobedient [AND] attractive [IMPLY] ugliest [PERIOD]
charming [IMPLY] disobedient [PERIOD]
popular [AND] versatile [AND] perfect [IMPLY] attractive [PERIOD]
careless [IMPLY] disobedient [PERIOD]
ugliest [AND] careless [IMPLY] versatile [PERIOD]
perfect [AND] stubborn [IMPLY] attractive [PERIOD]
attractive [AND] popular [AND] versatile [IMPLY] charming [PERIOD]
confident [IMPLY] perfect [PERIOD]
perfect [AND] popular [IMPLY] attractive [PERIOD]
stubborn [AND] charming [IMPLY] ugliest [PERIOD]
ugliest [AND] stubborn [IMPLY] popular [PERIOD]
attractive [AND] stubborn [AND] versatile [IMPLY] perfect [PERIOD]
attractive [AND] confident [IMPLY] careless [PERIOD]
perfect [IMPLY] popular [PERIOD]
popular [AND] versatile [AND] ugliest [IMPLY] careless [PERIOD]
attractive [IMPLY] confident [PERIOD]
stubborn [IMPLY] perfect [PERIOD]
disobedient [AND] perfect [IMPLY] versatile [PERIOD]
perfect [AND] careless [IMPLY] popular [PERIOD]
confident [IMPLY] ugliest [PERIOD]
popular [IMPLY] ugliest [PERIOD]
disobedient [IMPLY] popular [PERIOD]
stubborn [AND] popular [IMPLY] perfect [PERIOD]
popular [AND] perfect [IMPLY] confident [PERIOD]
ugliest [AND] popular [AND] versatile [IMPLY] charming [PERIOD]
stubborn [AND] careless [IMPLY] popular [PERIOD]
confident [AND] charming [AND] popular [IMPLY] attractive [PERIOD]
attractive [IMPLY] stubborn [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “confident ⇒ perfect” because missing: confident.
   Cannot apply rule “attractive ∧ stubborn ∧ versatile ⇒ perfect” because missing: attractive, stubborn, versatile.
   Cannot apply rule “stubborn ⇒ perfect” because missing: stubborn.
   Cannot apply rule “stubborn ∧ popular ⇒ perfect” because missing: stubborn, popular.
",0,4
"Facts:  Alice is stormy [PERIOD] Alice is popular [PERIOD] Alice is rude [PERIOD] Alice is sensible [PERIOD]
Rules:
mysterious [AND] scared [AND] sensible [IMPLY] rational [PERIOD]
alert [AND] long [AND] famous [IMPLY] ugly [PERIOD]
tense [IMPLY] victorious [PERIOD]
mysterious [AND] horrible [IMPLY] sensible [PERIOD]
scared [IMPLY] famous [PERIOD]
victorious [IMPLY] stormy [PERIOD]
bored [IMPLY] popular [PERIOD]
rational [IMPLY] horrible [PERIOD]
ugly [IMPLY] famous [PERIOD]
stormy [IMPLY] alert [PERIOD]
stubborn [AND] sensible [IMPLY] horrible [PERIOD]
tense [IMPLY] diplomatic [PERIOD]
popular [IMPLY] famous [PERIOD]
rude [AND] long [IMPLY] stubborn [PERIOD]
bored [IMPLY] horrible [PERIOD]
rude [IMPLY] ugly [PERIOD]
popular [AND] diplomatic [AND] stormy [IMPLY] rational [PERIOD]
famous [AND] alert [AND] diplomatic [IMPLY] rational [PERIOD]
horrible [AND] stubborn [IMPLY] ugly [PERIOD]
mysterious [AND] long [IMPLY] stubborn [PERIOD]
alert [AND] famous [AND] horrible [IMPLY] stormy [PERIOD]
popular [AND] stormy [IMPLY] alert [PERIOD]
popular [AND] rational [IMPLY] alert [PERIOD]
mysterious [AND] alert [IMPLY] scared [PERIOD]
famous [AND] stubborn [AND] scared [IMPLY] rational [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   Cannot apply rule “rational ⇒ horrible” because missing: rational.
   Cannot apply rule “stubborn ∧ sensible ⇒ horrible” because missing: stubborn.
   Cannot apply rule “bored ⇒ horrible” because missing: bored.
",0,3
"Facts:  Alice is frantic [PERIOD] Alice is calm [PERIOD] Alice is courageous [PERIOD] Alice is cooperative [PERIOD] Alice is bad-tempered [PERIOD] Alice is innocent [PERIOD] Alice is outstanding [PERIOD] Alice is selfish [PERIOD] Alice is talkative [PERIOD] Alice is strange [PERIOD] Alice is zealous [PERIOD]
Rules:
mysterious [AND] bad-tempered [AND] courageous [IMPLY] cooperative [PERIOD]
frantic [IMPLY] innocent [PERIOD]
zealous [IMPLY] mysterious [PERIOD]
spotless [AND] dishonest [IMPLY] bad-tempered [PERIOD]
spotless [AND] frantic [AND] thoughtless [IMPLY] strange [PERIOD]
horrible [AND] bad-tempered [AND] courageous [IMPLY] frantic [PERIOD]
horrible [IMPLY] strange [PERIOD]
mysterious [AND] zealous [AND] talkative [IMPLY] horrible [PERIOD]
horrible [IMPLY] cooperative [PERIOD]
strange [AND] calm [AND] talkative [IMPLY] innocent [PERIOD]
innocent [AND] mysterious [AND] dishonest [IMPLY] talkative [PERIOD]
horrible [AND] spotless [AND] courageous [IMPLY] frantic [PERIOD]
calm [AND] strange [IMPLY] horrible [PERIOD]
selfish [IMPLY] horrible [PERIOD]
talkative [AND] bad-tempered [IMPLY] strange [PERIOD]
mysterious [AND] courageous [AND] cooperative [IMPLY] thoughtless [PERIOD]
cooperative [AND] selfish [IMPLY] talkative [PERIOD]
strange [IMPLY] horrible [PERIOD]
dishonest [IMPLY] bad-tempered [PERIOD]
frantic [AND] dishonest [AND] calm [IMPLY] strange [PERIOD]
frantic [IMPLY] horrible [PERIOD]
calm [IMPLY] strange [PERIOD]
dishonest [IMPLY] courageous [PERIOD]
bad-tempered [AND] selfish [IMPLY] innocent [PERIOD]
bad-tempered [IMPLY] selfish [PERIOD]
zealous [IMPLY] thoughtless [PERIOD]
talkative [AND] frantic [IMPLY] calm [PERIOD]
dishonest [AND] selfish [AND] spotless [IMPLY] calm [PERIOD]
mysterious [AND] thoughtless [AND] calm [IMPLY] outstanding [PERIOD]
spotless [AND] outstanding [IMPLY] mysterious [PERIOD]
cooperative [IMPLY] mysterious [PERIOD]
mysterious [AND] innocent [IMPLY] selfish [PERIOD]
courageous [AND] frantic [IMPLY] calm [PERIOD]
innocent [IMPLY] outstanding [PERIOD]
talkative [AND] spotless [AND] strange [IMPLY] frantic [PERIOD]
innocent [AND] spotless [IMPLY] mysterious [PERIOD]
bad-tempered [AND] thoughtless [AND] mysterious [IMPLY] selfish [PERIOD]
cooperative [AND] outstanding [AND] zealous [IMPLY] talkative [PERIOD]
frantic [AND] zealous [AND] bad-tempered [IMPLY] horrible [PERIOD]
outstanding [AND] talkative [IMPLY] spotless [PERIOD]
strange [AND] innocent [IMPLY] calm [PERIOD]
zealous [IMPLY] calm [PERIOD]
spotless [AND] dishonest [AND] horrible [IMPLY] outstanding [PERIOD]
innocent [AND] thoughtless [IMPLY] bad-tempered [PERIOD]
courageous [IMPLY] innocent [PERIOD]
thoughtless [AND] horrible [IMPLY] cooperative [PERIOD]
outstanding [AND] courageous [IMPLY] mysterious [PERIOD]
cooperative [IMPLY] bad-tempered [PERIOD]
calm [AND] innocent [IMPLY] courageous [PERIOD]
courageous [IMPLY] bad-tempered [PERIOD]
dishonest [IMPLY] innocent [PERIOD]
frantic [AND] cooperative [IMPLY] zealous [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   zealous ⇒ thoughtless
",1,1
"Facts:  Alice is glamorous [PERIOD] Alice is agreeable [PERIOD] Alice is stormy [PERIOD] Alice is precious [PERIOD] Alice is victorious [PERIOD] Alice is modern [PERIOD] Alice is distinct [PERIOD]
Rules:
witty [IMPLY] glamorous [PERIOD]
stormy [IMPLY] naughty [PERIOD]
frantic [IMPLY] agreeable [PERIOD]
witty [AND] sleepy [AND] aggressive [IMPLY] worrisome [PERIOD]
sleepy [AND] victorious [IMPLY] modern [PERIOD]
tired [AND] modern [AND] proud [IMPLY] rude [PERIOD]
precious [IMPLY] cute [PERIOD]
frantic [AND] homely [AND] aggressive [IMPLY] lonely [PERIOD]
tired [AND] witty [AND] modern [IMPLY] naughty [PERIOD]
friendly [AND] confused [AND] modern [IMPLY] scared [PERIOD]
sincere [AND] frantic [IMPLY] average [PERIOD]
average [AND] jittery [IMPLY] cute [PERIOD]
glamorous [AND] scared [AND] distinct [IMPLY] ugly [PERIOD]
victorious [IMPLY] glamorous [PERIOD]
aggressive [IMPLY] friendly [PERIOD]
modern [AND] naughty [AND] frantic [IMPLY] powerful [PERIOD]
sleepy [AND] rude [IMPLY] proud [PERIOD]
distinct [AND] frantic [AND] horrible [IMPLY] ugly [PERIOD]
tired [AND] naughty [IMPLY] frantic [PERIOD]
distinct [AND] naughty [AND] sincere [IMPLY] aggressive [PERIOD]
modern [IMPLY] average [PERIOD]
jittery [IMPLY] powerful [PERIOD]
horrible [IMPLY] sleepy [PERIOD]
stormy [IMPLY] tired [PERIOD]
scared [AND] jittery [AND] cute [IMPLY] sleepy [PERIOD]
glamorous [IMPLY] friendly [PERIOD]
aggressive [AND] tired [AND] homely [IMPLY] sleepy [PERIOD]
sincere [IMPLY] rude [PERIOD]
sincere [IMPLY] average [PERIOD]
powerful [AND] distinct [IMPLY] worrisome [PERIOD]
scared [AND] powerful [IMPLY] stormy [PERIOD]
horrible [IMPLY] victorious [PERIOD]
agreeable [IMPLY] worrisome [PERIOD]
stormy [AND] homely [AND] fancy [IMPLY] sleepy [PERIOD]
rude [AND] naughty [AND] average [IMPLY] agreeable [PERIOD]
naughty [AND] aggressive [IMPLY] sincere [PERIOD]
glamorous [IMPLY] witty [PERIOD]
stormy [IMPLY] scared [PERIOD]
confused [AND] lonely [IMPLY] victorious [PERIOD]
sincere [AND] stormy [IMPLY] homely [PERIOD]
worrisome [AND] agreeable [IMPLY] friendly [PERIOD]
sincere [AND] cute [AND] powerful [IMPLY] lonely [PERIOD]
jittery [AND] modern [AND] confused [IMPLY] wide-eyed [PERIOD]
naughty [AND] stormy [AND] frantic [IMPLY] proud [PERIOD]
precious [AND] powerful [AND] victorious [IMPLY] rude [PERIOD]
homely [AND] modern [AND] lonely [IMPLY] stormy [PERIOD]
witty [AND] distinct [IMPLY] cute [PERIOD]
glamorous [AND] cute [IMPLY] aggressive [PERIOD]
ugly [IMPLY] jittery [PERIOD]
stormy [AND] tired [IMPLY] cute [PERIOD]
modern [AND] proud [IMPLY] agreeable [PERIOD]
jittery [AND] scared [IMPLY] sincere [PERIOD]
confused [AND] friendly [AND] proud [IMPLY] wide-eyed [PERIOD]
friendly [AND] witty [IMPLY] homely [PERIOD]
precious [AND] distinct [AND] frantic [IMPLY] aggressive [PERIOD]
worrisome [AND] victorious [AND] aggressive [IMPLY] horrible [PERIOD]
worrisome [IMPLY] distinct [PERIOD]
stormy [AND] victorious [IMPLY] friendly [PERIOD]
frantic [AND] confused [AND] wide-eyed [IMPLY] agreeable [PERIOD]
confused [AND] aggressive [AND] rude [IMPLY] average [PERIOD]
confused [AND] homely [AND] average [IMPLY] rude [PERIOD]
jittery [AND] distinct [AND] confused [IMPLY] ugly [PERIOD]
proud [AND] stormy [IMPLY] aggressive [PERIOD]
homely [AND] horrible [IMPLY] scared [PERIOD]
stormy [AND] modern [IMPLY] aggressive [PERIOD]
horrible [IMPLY] scared [PERIOD]
scared [AND] horrible [AND] worrisome [IMPLY] precious [PERIOD]
precious [AND] lonely [AND] powerful [IMPLY] fancy [PERIOD]
scared [IMPLY] wide-eyed [PERIOD]
lonely [IMPLY] distinct [PERIOD]
scared [IMPLY] victorious [PERIOD]
friendly [IMPLY] glamorous [PERIOD]
wide-eyed [AND] naughty [IMPLY] glamorous [PERIOD]
agreeable [AND] jittery [IMPLY] tired [PERIOD]
powerful [AND] worrisome [AND] sincere [IMPLY] average [PERIOD]
cute [AND] stormy [IMPLY] glamorous [PERIOD]
witty [AND] friendly [AND] modern [IMPLY] worrisome [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   stormy ∧ modern ⇒ aggressive
   stormy ⇒ tired
   glamorous ⇒ friendly
   glamorous ⇒ witty
   friendly ∧ witty ⇒ homely
   aggressive ∧ tired ∧ homely ⇒ sleepy
",1,6
"Facts:  Alice is excited [PERIOD] Alice is gleaming [PERIOD] Alice is mean [PERIOD]
Rules:
careless [AND] ambitious [IMPLY] jittery [PERIOD]
pessimistic [IMPLY] silly [PERIOD]
ambitious [AND] selfish [AND] excited [IMPLY] gleaming [PERIOD]
silly [AND] selfish [AND] curious [IMPLY] impartial [PERIOD]
selfish [AND] excited [AND] ambitious [IMPLY] blushing [PERIOD]
mean [AND] hurt [AND] jittery [IMPLY] excited [PERIOD]
exuberant [IMPLY] excited [PERIOD]
blushing [IMPLY] jittery [PERIOD]
diplomatic [IMPLY] calm [PERIOD]
polite [AND] hurt [IMPLY] calm [PERIOD]
careless [AND] ambitious [AND] frightened [IMPLY] cooperative [PERIOD]
gleaming [AND] reserved [AND] thoughtful [IMPLY] exuberant [PERIOD]
ambitious [AND] cooperative [IMPLY] blushing [PERIOD]
curious [IMPLY] ambitious [PERIOD]
mean [IMPLY] jittery [PERIOD]
jittery [AND] gifted [AND] pessimistic [IMPLY] polite [PERIOD]
gifted [AND] impartial [AND] selfish [IMPLY] calm [PERIOD]
blushing [AND] gleaming [IMPLY] ambitious [PERIOD]
polite [IMPLY] ambitious [PERIOD]
blushing [AND] careless [AND] frightened [IMPLY] impartial [PERIOD]
troubled [AND] ambitious [IMPLY] excited [PERIOD]
diplomatic [AND] mean [IMPLY] blushing [PERIOD]
troubled [AND] curious [AND] polite [IMPLY] mean [PERIOD]
pessimistic [AND] gifted [IMPLY] blushing [PERIOD]
calm [AND] reserved [IMPLY] selfish [PERIOD]
selfish [AND] blushing [AND] gifted [IMPLY] silly [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   Cannot apply rule “silly ∧ selfish ∧ curious ⇒ impartial” because missing: silly, selfish, curious.
   Cannot apply rule “blushing ∧ careless ∧ frightened ⇒ impartial” because missing: blushing, careless, frightened.
",0,2
"Facts:  Alice is lonely [PERIOD]
Rules:
homely [IMPLY] disgusted [PERIOD]
grumpy [IMPLY] messy [PERIOD]
courageous [AND] homely [IMPLY] pessimistic [PERIOD]
hilarious [AND] sensible [IMPLY] beautiful [PERIOD]
glamorous [AND] sensible [IMPLY] courageous [PERIOD]
sensible [IMPLY] lonely [PERIOD]
cute [IMPLY] disgusted [PERIOD]
stormy [IMPLY] versatile [PERIOD]
homely [AND] aggressive [IMPLY] courageous [PERIOD]
glamorous [IMPLY] easy [PERIOD]
lonely [AND] messy [IMPLY] glamorous [PERIOD]
frantic [IMPLY] uptight [PERIOD]
straightforward [AND] pessimistic [AND] anxious [IMPLY] powerful [PERIOD]
courageous [AND] talented [IMPLY] naughty [PERIOD]
easy [AND] cute [AND] crowded [IMPLY] messy [PERIOD]
anxious [AND] confused [IMPLY] courageous [PERIOD]
stormy [AND] confused [IMPLY] cute [PERIOD]
crowded [AND] naughty [IMPLY] disgusted [PERIOD]
inquisitive [AND] straightforward [IMPLY] uptight [PERIOD]
stormy [AND] old-fashioned [IMPLY] witty [PERIOD]
inquisitive [AND] powerful [IMPLY] messy [PERIOD]
easy [AND] talented [IMPLY] uptight [PERIOD]
hilarious [AND] grumpy [IMPLY] old-fashioned [PERIOD]
straightforward [AND] anxious [AND] aggressive [IMPLY] supportive [PERIOD]
lonely [AND] beautiful [AND] courageous [IMPLY] cute [PERIOD]
lonely [AND] crowded [AND] talented [IMPLY] messy [PERIOD]
messy [AND] grumpy [IMPLY] naughty [PERIOD]
talented [AND] lonely [AND] easy [IMPLY] messy [PERIOD]
homely [AND] grumpy [IMPLY] supportive [PERIOD]
crowded [AND] disgusted [IMPLY] straightforward [PERIOD]
cute [IMPLY] hilarious [PERIOD]
stormy [IMPLY] witty [PERIOD]
easy [AND] old-fashioned [IMPLY] pessimistic [PERIOD]
straightforward [AND] courageous [AND] disgusted [IMPLY] uptight [PERIOD]
courageous [AND] crowded [IMPLY] old-fashioned [PERIOD]
sensible [AND] naughty [AND] cute [IMPLY] crowded [PERIOD]
lonely [AND] old-fashioned [AND] easy [IMPLY] frantic [PERIOD]
straightforward [AND] powerful [AND] frantic [IMPLY] stormy [PERIOD]
witty [AND] aggressive [AND] courageous [IMPLY] old-fashioned [PERIOD]
homely [AND] anxious [AND] easy [IMPLY] sensible [PERIOD]
confused [AND] grumpy [AND] courageous [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] stormy [PERIOD]
grumpy [AND] hilarious [IMPLY] lonely [PERIOD]
versatile [AND] aggressive [IMPLY] talented [PERIOD]
grumpy [AND] cute [AND] versatile [IMPLY] inquisitive [PERIOD]
stormy [IMPLY] inquisitive [PERIOD]
beautiful [AND] glamorous [AND] courageous [IMPLY] lonely [PERIOD]
easy [AND] straightforward [IMPLY] frantic [PERIOD]
beautiful [AND] straightforward [IMPLY] messy [PERIOD]
easy [AND] crowded [AND] cute [IMPLY] glamorous [PERIOD]
easy [IMPLY] versatile [PERIOD]
easy [IMPLY] cute [PERIOD]
crowded [AND] uptight [AND] beautiful [IMPLY] anxious [PERIOD]
courageous [IMPLY] powerful [PERIOD]
frantic [IMPLY] homely [PERIOD]
inquisitive [AND] hilarious [AND] versatile [IMPLY] crowded [PERIOD]
versatile [IMPLY] talented [PERIOD]
grumpy [IMPLY] easy [PERIOD]
aggressive [IMPLY] easy [PERIOD]
easy [AND] crowded [AND] old-fashioned [IMPLY] confused [PERIOD]
pessimistic [AND] messy [AND] easy [IMPLY] frantic [PERIOD]
powerful [AND] straightforward [IMPLY] crowded [PERIOD]
pessimistic [IMPLY] straightforward [PERIOD]
pessimistic [IMPLY] hilarious [PERIOD]
talented [AND] straightforward [AND] messy [IMPLY] versatile [PERIOD]
sensible [IMPLY] old-fashioned [PERIOD]
supportive [AND] easy [IMPLY] stormy [PERIOD]
grumpy [IMPLY] pessimistic [PERIOD]
versatile [IMPLY] homely [PERIOD]
inquisitive [AND] frantic [IMPLY] old-fashioned [PERIOD]
cute [AND] supportive [IMPLY] confused [PERIOD]
straightforward [AND] easy [IMPLY] anxious [PERIOD]
cute [IMPLY] powerful [PERIOD]
straightforward [AND] crowded [IMPLY] homely [PERIOD]
homely [AND] lonely [AND] grumpy [IMPLY] stormy [PERIOD]
hilarious [IMPLY] sensible [PERIOD]
powerful [IMPLY] pessimistic [PERIOD]
straightforward [AND] cute [IMPLY] powerful [PERIOD]
talented [IMPLY] pessimistic [PERIOD]
versatile [AND] courageous [AND] stormy [IMPLY] straightforward [PERIOD]
versatile [IMPLY] old-fashioned [PERIOD]
witty [AND] messy [IMPLY] old-fashioned [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   Cannot apply rule “courageous ∧ homely ⇒ pessimistic” because missing: courageous, homely.
   Cannot apply rule “easy ∧ old-fashioned ⇒ pessimistic” because missing: easy, old-fashioned.
   Cannot apply rule “grumpy ⇒ pessimistic” because missing: grumpy.
   Cannot apply rule “powerful ⇒ pessimistic” because missing: powerful.
   Cannot apply rule “talented ⇒ pessimistic” because missing: talented.
",0,5
"Facts:  Alice is vivacious [PERIOD] Alice is gifted [PERIOD]
Rules:
combative [IMPLY] vivacious [PERIOD]
stupid [AND] disobedient [AND] combative [IMPLY] crowded [PERIOD]
horrible [AND] disobedient [AND] mysterious [IMPLY] gifted [PERIOD]
mysterious [AND] horrible [AND] stupid [IMPLY] crowded [PERIOD]
stupid [AND] gifted [AND] mysterious [IMPLY] horrible [PERIOD]
disobedient [AND] mysterious [AND] crowded [IMPLY] gifted [PERIOD]
vivacious [AND] mysterious [IMPLY] stupid [PERIOD]
disobedient [AND] stupid [AND] gifted [IMPLY] crowded [PERIOD]
vivacious [AND] mysterious [AND] crowded [IMPLY] combative [PERIOD]
gifted [AND] disobedient [IMPLY] vivacious [PERIOD]
mysterious [IMPLY] combative [PERIOD]
horrible [IMPLY] mysterious [PERIOD]
gifted [IMPLY] stupid [PERIOD]
vivacious [AND] horrible [IMPLY] gifted [PERIOD]
stupid [IMPLY] disobedient [PERIOD]
horrible [AND] gifted [AND] mysterious [IMPLY] disobedient [PERIOD]
horrible [AND] vivacious [AND] gifted [IMPLY] disobedient [PERIOD]
gifted [AND] horrible [IMPLY] stupid [PERIOD]
combative [AND] mysterious [IMPLY] crowded [PERIOD]
horrible [AND] vivacious [AND] stupid [IMPLY] combative [PERIOD]
vivacious [AND] combative [AND] crowded [IMPLY] mysterious [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   Cannot apply rule “horrible ⇒ mysterious” because missing: horrible.
   gifted ⇒ stupid
   stupid ⇒ disobedient
   gifted ⇒ stupid
   disobedient ∧ stupid ∧ gifted ⇒ crowded
   Cannot apply rule “vivacious ∧ combative ∧ crowded ⇒ mysterious” because missing: combative.
",0,6
"Facts:  Alice is rude [PERIOD] Alice is busy [PERIOD] Alice is talkative [PERIOD] Alice is anxious [PERIOD] Alice is messy [PERIOD] Alice is hypocritical [PERIOD] Alice is spotless [PERIOD]
Rules:
tense [AND] popular [AND] spotless [IMPLY] ambitious [PERIOD]
hypocritical [AND] bad-tempered [AND] ambitious [IMPLY] spotless [PERIOD]
sensible [AND] worrisome [AND] inexpensive [IMPLY] tense [PERIOD]
popular [IMPLY] bad-tempered [PERIOD]
sincere [AND] perfect [IMPLY] tense [PERIOD]
wide-eyed [AND] ambitious [AND] hypocritical [IMPLY] comfortable [PERIOD]
inexpensive [AND] ambitious [AND] adorable [IMPLY] rude [PERIOD]
sensible [IMPLY] popular [PERIOD]
hypocritical [AND] adorable [IMPLY] rude [PERIOD]
busy [AND] ambitious [AND] sensible [IMPLY] hypocritical [PERIOD]
anxious [IMPLY] wide-eyed [PERIOD]
confused [IMPLY] spotless [PERIOD]
inexpensive [AND] comfortable [AND] sensible [IMPLY] ambitious [PERIOD]
adorable [AND] talkative [IMPLY] frantic [PERIOD]
sensible [AND] busy [IMPLY] sincere [PERIOD]
worrisome [AND] bad-tempered [IMPLY] sensible [PERIOD]
talkative [IMPLY] bad-tempered [PERIOD]
excited [AND] quaint [IMPLY] anxious [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   No rule concludes “enchanting.”
",0,1
"Facts: 
Rules:
tired [AND] unpleasant [AND] fancy [IMPLY] lonely [PERIOD]
clean [AND] tired [AND] fancy [IMPLY] lonely [PERIOD]
tired [IMPLY] unpleasant [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
   Cannot apply rule “tired ∧ unpleasant ∧ fancy ⇒ lonely” because missing: tired, unpleasant, fancy.
   Cannot apply rule “clean ∧ tired ∧ fancy ⇒ lonely” because missing: clean, tired, fancy.
",0,2
"Facts:  Alice is diplomatic [PERIOD] Alice is broad-minded [PERIOD] Alice is difficult [PERIOD]
Rules:
zealous [IMPLY] broad-minded [PERIOD]
lucky [AND] zealous [IMPLY] difficult [PERIOD]
diplomatic [AND] weary [AND] broad-minded [IMPLY] good [PERIOD]
weary [IMPLY] difficult [PERIOD]
good [IMPLY] helpful [PERIOD]
good [AND] lucky [AND] tense [IMPLY] difficult [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   No rule concludes “tense.”
",0,1
"Facts: 
Rules:
wide-eyed [AND] long [IMPLY] exuberant [PERIOD]
cute [IMPLY] inquisitive [PERIOD]
broad-minded [AND] frantic [IMPLY] easy [PERIOD]
difficult [AND] easy [AND] attractive [IMPLY] diplomatic [PERIOD]
thoughtful [IMPLY] wide-eyed [PERIOD]
cute [IMPLY] intellectual [PERIOD]
fearless [IMPLY] messy [PERIOD]
supportive [IMPLY] attractive [PERIOD]
plain [AND] tame [AND] dishonest [IMPLY] wide-eyed [PERIOD]
thoughtful [AND] diplomatic [AND] versatile [IMPLY] intellectual [PERIOD]
exuberant [AND] supportive [AND] intellectual [IMPLY] versatile [PERIOD]
inquisitive [AND] cute [AND] messy [IMPLY] long [PERIOD]
tame [AND] messy [AND] inquisitive [IMPLY] diplomatic [PERIOD]
inquisitive [AND] messy [IMPLY] tame [PERIOD]
supportive [AND] messy [IMPLY] easy [PERIOD]
easy [AND] wide-eyed [IMPLY] difficult [PERIOD]
exuberant [IMPLY] difficult [PERIOD]
easy [AND] long [AND] attractive [IMPLY] inquisitive [PERIOD]
intellectual [AND] mysterious [AND] thoughtful [IMPLY] wide-eyed [PERIOD]
mysterious [AND] wide-eyed [AND] intellectual [IMPLY] plain [PERIOD]
diplomatic [AND] plain [IMPLY] broad-minded [PERIOD]
frantic [AND] versatile [IMPLY] attractive [PERIOD]
fearless [AND] muddy [IMPLY] plain [PERIOD]
frantic [IMPLY] wide-eyed [PERIOD]
muddy [AND] cute [IMPLY] frantic [PERIOD]
cute [AND] frantic [AND] dishonest [IMPLY] muddy [PERIOD]
versatile [AND] diplomatic [AND] difficult [IMPLY] tired [PERIOD]
tired [AND] thoughtful [AND] supportive [IMPLY] frantic [PERIOD]
easy [AND] messy [IMPLY] tame [PERIOD]
thoughtful [IMPLY] muddy [PERIOD]
inquisitive [AND] diplomatic [IMPLY] broad-minded [PERIOD]
broad-minded [AND] muddy [AND] messy [IMPLY] supportive [PERIOD]
versatile [IMPLY] dishonest [PERIOD]
easy [AND] muddy [AND] tired [IMPLY] messy [PERIOD]
versatile [IMPLY] wide-eyed [PERIOD]
versatile [AND] intellectual [IMPLY] muddy [PERIOD]
mysterious [AND] tired [AND] plain [IMPLY] easy [PERIOD]
long [IMPLY] fearless [PERIOD]
thoughtful [AND] diplomatic [AND] long [IMPLY] messy [PERIOD]
cute [IMPLY] dishonest [PERIOD]
easy [IMPLY] dishonest [PERIOD]
attractive [AND] easy [AND] cute [IMPLY] thoughtful [PERIOD]
thoughtful [AND] fearless [AND] inquisitive [IMPLY] plain [PERIOD]
difficult [IMPLY] dishonest [PERIOD]
fearless [IMPLY] long [PERIOD]
wide-eyed [AND] tired [IMPLY] tame [PERIOD]
dishonest [AND] inquisitive [AND] muddy [IMPLY] tame [PERIOD]
wide-eyed [AND] easy [IMPLY] exuberant [PERIOD]
dishonest [AND] messy [IMPLY] wide-eyed [PERIOD]
supportive [AND] fearless [IMPLY] muddy [PERIOD]
versatile [AND] supportive [IMPLY] broad-minded [PERIOD]
plain [IMPLY] versatile [PERIOD]
tame [AND] mysterious [IMPLY] inquisitive [PERIOD]
tame [AND] broad-minded [AND] attractive [IMPLY] messy [PERIOD]
inquisitive [AND] versatile [AND] supportive [IMPLY] frantic [PERIOD]
frantic [IMPLY] muddy [PERIOD]
tired [IMPLY] intellectual [PERIOD]
plain [AND] thoughtful [IMPLY] attractive [PERIOD]
exuberant [AND] diplomatic [IMPLY] tame [PERIOD]
messy [AND] tame [IMPLY] broad-minded [PERIOD]
wide-eyed [AND] frantic [IMPLY] diplomatic [PERIOD]
messy [AND] dishonest [IMPLY] attractive [PERIOD]
plain [IMPLY] difficult [PERIOD]
serious [AND] fearless [AND] difficult [IMPLY] dishonest [PERIOD]
exuberant [AND] thoughtful [IMPLY] tired [PERIOD]
mysterious [AND] difficult [IMPLY] tame [PERIOD]
thoughtful [AND] exuberant [IMPLY] tame [PERIOD]
plain [IMPLY] serious [PERIOD]
messy [AND] cute [IMPLY] versatile [PERIOD]
broad-minded [AND] diplomatic [AND] dishonest [IMPLY] intellectual [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   Cannot apply rule “inquisitive ∧ messy ⇒ tame” because missing: inquisitive, messy.
   Cannot apply rule “easy ∧ messy ⇒ tame” because missing: easy, messy.
   Cannot apply rule “wide-eyed ∧ tired ⇒ tame” because missing: wide-eyed, tired.
   Cannot apply rule “dishonest ∧ inquisitive ∧ muddy ⇒ tame” because missing: dishonest, inquisitive, muddy.
   Cannot apply rule “exuberant ∧ diplomatic ⇒ tame” because missing: exuberant, diplomatic.
   Cannot apply rule “mysterious ∧ difficult ⇒ tame” because missing: mysterious, difficult.
   Cannot apply rule “thoughtful ∧ exuberant ⇒ tame” because missing: thoughtful, exuberant.
",0,7
"Facts:  Alice is hilarious [PERIOD] Alice is frail [PERIOD] Alice is lonely [PERIOD] Alice is troubled [PERIOD] Alice is inexpensive [PERIOD]
Rules:
frail [AND] wrong [IMPLY] good [PERIOD]
sleepy [IMPLY] loving [PERIOD]
bright [AND] sensible [AND] worried [IMPLY] sleepy [PERIOD]
hilarious [AND] reserved [IMPLY] vivacious [PERIOD]
polite [AND] excited [AND] impartial [IMPLY] reserved [PERIOD]
inexpensive [IMPLY] stubborn [PERIOD]
excited [AND] light [AND] confident [IMPLY] worried [PERIOD]
careless [AND] frail [AND] worried [IMPLY] wrong [PERIOD]
vivacious [AND] bright [AND] reserved [IMPLY] hilarious [PERIOD]
troubled [IMPLY] sleepy [PERIOD]
reserved [AND] gorgeous [IMPLY] troubled [PERIOD]
muddy [AND] careless [AND] frail [IMPLY] gorgeous [PERIOD]
calm [AND] vivacious [IMPLY] stubborn [PERIOD]
sleepy [IMPLY] intellectual [PERIOD]
vivacious [IMPLY] serious [PERIOD]
muddy [IMPLY] hilarious [PERIOD]
confident [AND] hilarious [IMPLY] wrong [PERIOD]
light [AND] excited [IMPLY] bright [PERIOD]
troubled [AND] polite [IMPLY] impartial [PERIOD]
calm [AND] bright [IMPLY] vivacious [PERIOD]
stubborn [AND] inexpensive [AND] careless [IMPLY] confident [PERIOD]
plain [AND] careless [AND] frail [IMPLY] muddy [PERIOD]
inexpensive [AND] excited [AND] gorgeous [IMPLY] muddy [PERIOD]
confident [AND] sleepy [IMPLY] calm [PERIOD]
bright [IMPLY] calm [PERIOD]
confident [IMPLY] hilarious [PERIOD]
plain [IMPLY] intellectual [PERIOD]
confident [IMPLY] gorgeous [PERIOD]
light [AND] gorgeous [AND] serious [IMPLY] plain [PERIOD]
light [AND] careless [AND] polite [IMPLY] intellectual [PERIOD]
gorgeous [IMPLY] inexpensive [PERIOD]
bright [AND] plain [IMPLY] excited [PERIOD]
stubborn [IMPLY] gorgeous [PERIOD]
careless [AND] lonely [IMPLY] hilarious [PERIOD]
worried [AND] inexpensive [AND] calm [IMPLY] serious [PERIOD]
excited [AND] careless [AND] muddy [IMPLY] hilarious [PERIOD]
polite [IMPLY] light [PERIOD]
worried [AND] inexpensive [AND] serious [IMPLY] powerful [PERIOD]
plain [AND] stubborn [AND] muddy [IMPLY] troubled [PERIOD]
confident [IMPLY] vivacious [PERIOD]
confident [IMPLY] frail [PERIOD]
sleepy [IMPLY] troubled [PERIOD]
stubborn [AND] lonely [AND] frail [IMPLY] excited [PERIOD]
troubled [IMPLY] good [PERIOD]
hilarious [AND] reserved [AND] polite [IMPLY] bright [PERIOD]
intellectual [AND] excited [AND] vivacious [IMPLY] sensible [PERIOD]
sensible [AND] loving [IMPLY] powerful [PERIOD]
frail [AND] loving [IMPLY] vivacious [PERIOD]
hilarious [IMPLY] intellectual [PERIOD]
reserved [IMPLY] frail [PERIOD]
light [IMPLY] worried [PERIOD]
intellectual [AND] lonely [IMPLY] powerful [PERIOD]
muddy [IMPLY] excited [PERIOD]
muddy [IMPLY] reserved [PERIOD]
stubborn [IMPLY] plain [PERIOD]
plain [AND] impartial [IMPLY] sensible [PERIOD]
troubled [AND] reserved [AND] polite [IMPLY] wrong [PERIOD]
intellectual [AND] light [IMPLY] powerful [PERIOD]
calm [AND] impartial [AND] stubborn [IMPLY] excited [PERIOD]
bright [IMPLY] loving [PERIOD]
plain [IMPLY] muddy [PERIOD]
inexpensive [IMPLY] frail [PERIOD]
excited [AND] good [IMPLY] plain [PERIOD]
troubled [IMPLY] wrong [PERIOD]
loving [AND] confident [AND] plain [IMPLY] vivacious [PERIOD]
reserved [AND] hilarious [AND] sleepy [IMPLY] stubborn [PERIOD]
sleepy [AND] excited [IMPLY] frail [PERIOD]
loving [IMPLY] confident [PERIOD]
stubborn [IMPLY] intellectual [PERIOD]
bright [IMPLY] gorgeous [PERIOD]
polite [AND] excited [IMPLY] sensible [PERIOD]
confident [AND] wrong [IMPLY] careless [PERIOD]
calm [AND] vivacious [AND] sensible [IMPLY] wrong [PERIOD]
calm [IMPLY] excited [PERIOD]
worried [IMPLY] hilarious [PERIOD]
intellectual [AND] loving [AND] lonely [IMPLY] confident [PERIOD]
muddy [AND] good [IMPLY] calm [PERIOD]
calm [IMPLY] hilarious [PERIOD]
sleepy [AND] bright [IMPLY] intellectual [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   hilarious ⇒ intellectual
   inexpensive ⇒ stubborn
   stubborn ∧ lonely ∧ frail ⇒ excited
   troubled ⇒ sleepy
   sleepy ⇒ loving
   frail ∧ loving ⇒ vivacious
   intellectual ∧ excited ∧ vivacious ⇒ sensible
",1,7
"Facts:  Alice is plain [PERIOD] Alice is shiny [PERIOD]
Rules:
difficult [IMPLY] horrible [PERIOD]
troubled [IMPLY] proud [PERIOD]
stormy [AND] frantic [IMPLY] selfish [PERIOD]
impatient [IMPLY] frantic [PERIOD]
frightened [AND] broad-minded [AND] wandering [IMPLY] shiny [PERIOD]
quaint [IMPLY] famous [PERIOD]
famous [AND] diplomatic [IMPLY] ambitious [PERIOD]
stupid [AND] selfish [AND] plain [IMPLY] wandering [PERIOD]
stupid [AND] fancy [AND] tidy [IMPLY] quaint [PERIOD]
frightened [IMPLY] grumpy [PERIOD]
wandering [IMPLY] anxious [PERIOD]
adorable [IMPLY] frantic [PERIOD]
anxious [AND] proud [IMPLY] wandering [PERIOD]
plain [IMPLY] selfish [PERIOD]
anxious [IMPLY] horrible [PERIOD]
anxious [AND] shiny [IMPLY] comfortable [PERIOD]
anxious [AND] quaint [IMPLY] horrible [PERIOD]
fancy [AND] comfortable [AND] troubled [IMPLY] difficult [PERIOD]
selfish [AND] confused [AND] grumpy [IMPLY] wandering [PERIOD]
ambitious [AND] impatient [AND] stormy [IMPLY] selfish [PERIOD]
horrible [AND] adorable [IMPLY] frantic [PERIOD]
quaint [AND] broad-minded [AND] comfortable [IMPLY] frightened [PERIOD]
fancy [AND] troubled [AND] anxious [IMPLY] difficult [PERIOD]
agreeable [IMPLY] fancy [PERIOD]
confused [IMPLY] witty [PERIOD]
quaint [IMPLY] frightened [PERIOD]
quaint [IMPLY] impatient [PERIOD]
wandering [IMPLY] agreeable [PERIOD]
shiny [AND] witty [AND] confused [IMPLY] frightened [PERIOD]
fancy [AND] broad-minded [IMPLY] ambitious [PERIOD]
stormy [IMPLY] agreeable [PERIOD]
stupid [AND] difficult [AND] grumpy [IMPLY] plain [PERIOD]
wandering [AND] impatient [IMPLY] frightened [PERIOD]
plain [AND] frightened [IMPLY] shiny [PERIOD]
grumpy [IMPLY] difficult [PERIOD]
distinct [AND] horrible [IMPLY] frantic [PERIOD]
plain [AND] stormy [IMPLY] frightened [PERIOD]
distinct [AND] broad-minded [IMPLY] wandering [PERIOD]
diplomatic [IMPLY] proud [PERIOD]
anxious [IMPLY] plain [PERIOD]
tidy [AND] frantic [IMPLY] famous [PERIOD]
comfortable [AND] proud [AND] confused [IMPLY] stormy [PERIOD]
plain [AND] grumpy [AND] agreeable [IMPLY] proud [PERIOD]
adorable [AND] tidy [IMPLY] frantic [PERIOD]
plain [AND] horrible [IMPLY] anxious [PERIOD]
adorable [AND] distinct [IMPLY] frightened [PERIOD]
selfish [AND] tidy [IMPLY] frantic [PERIOD]
fancy [IMPLY] witty [PERIOD]
witty [IMPLY] famous [PERIOD]
witty [IMPLY] troubled [PERIOD]
agreeable [IMPLY] stormy [PERIOD]
tidy [IMPLY] comfortable [PERIOD]
frantic [AND] stupid [AND] shiny [IMPLY] diplomatic [PERIOD]
quaint [IMPLY] stormy [PERIOD]
comfortable [AND] plain [AND] proud [IMPLY] diplomatic [PERIOD]
tidy [AND] frightened [IMPLY] plain [PERIOD]
tidy [IMPLY] adorable [PERIOD]
selfish [AND] famous [IMPLY] distinct [PERIOD]
troubled [IMPLY] quaint [PERIOD]
wandering [AND] quaint [IMPLY] frantic [PERIOD]
distinct [AND] horrible [IMPLY] ambitious [PERIOD]
plain [AND] ambitious [AND] troubled [IMPLY] frightened [PERIOD]
shiny [IMPLY] grumpy [PERIOD]
grumpy [AND] quaint [AND] frantic [IMPLY] adorable [PERIOD]
horrible [AND] ambitious [IMPLY] quaint [PERIOD]
selfish [IMPLY] broad-minded [PERIOD]
confused [AND] frantic [IMPLY] anxious [PERIOD]
famous [AND] difficult [IMPLY] horrible [PERIOD]
grumpy [AND] famous [IMPLY] fancy [PERIOD]
frightened [AND] selfish [AND] proud [IMPLY] broad-minded [PERIOD]
adorable [IMPLY] troubled [PERIOD]
distinct [AND] diplomatic [IMPLY] grumpy [PERIOD]
adorable [AND] shiny [IMPLY] stupid [PERIOD]
famous [IMPLY] stupid [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   plain ⇒ selfish
   Cannot apply rule “selfish ∧ famous ⇒ distinct” because missing: famous.
",0,2
"Facts:  Alice is fine [PERIOD]
Rules:
fine [IMPLY] polite [PERIOD]
fancy [IMPLY] polite [PERIOD]
polite [AND] old-fashioned [IMPLY] cruel [PERIOD]
cruel [AND] clean [IMPLY] cooperative [PERIOD]
selfish [AND] comfortable [IMPLY] cruel [PERIOD]
comfortable [AND] selfish [IMPLY] fine [PERIOD]
cooperative [AND] selfish [AND] fine [IMPLY] old-fashioned [PERIOD]
cooperative [AND] comfortable [AND] fancy [IMPLY] fine [PERIOD]
troubled [AND] gorgeous [IMPLY] selfish [PERIOD]
troubled [AND] cruel [AND] foolish [IMPLY] selfish [PERIOD]
fine [IMPLY] zealous [PERIOD]
gorgeous [AND] clean [IMPLY] horrible [PERIOD]
comfortable [IMPLY] fancy [PERIOD]
horrible [IMPLY] fancy [PERIOD]
enchanting [IMPLY] cooperative [PERIOD]
gorgeous [IMPLY] old-fashioned [PERIOD]
enchanting [IMPLY] cruel [PERIOD]
selfish [IMPLY] polite [PERIOD]
comfortable [IMPLY] enchanting [PERIOD]
fancy [IMPLY] zealous [PERIOD]
comfortable [IMPLY] friendly [PERIOD]
troubled [IMPLY] cooperative [PERIOD]
comfortable [IMPLY] cooperative [PERIOD]
polite [AND] selfish [IMPLY] foolish [PERIOD]
old-fashioned [AND] foolish [AND] clean [IMPLY] fancy [PERIOD]
selfish [IMPLY] cooperative [PERIOD]
selfish [AND] enchanting [IMPLY] cooperative [PERIOD]
fine [AND] horrible [IMPLY] cooperative [PERIOD]
cruel [IMPLY] troubled [PERIOD]
friendly [AND] old-fashioned [AND] fine [IMPLY] polite [PERIOD]
polite [IMPLY] enchanting [PERIOD]
fancy [AND] friendly [AND] polite [IMPLY] cooperative [PERIOD]
horrible [IMPLY] selfish [PERIOD]
zealous [AND] fancy [AND] enchanting [IMPLY] clean [PERIOD]
cooperative [AND] enchanting [IMPLY] friendly [PERIOD]
polite [AND] foolish [AND] cooperative [IMPLY] troubled [PERIOD]
fine [AND] foolish [AND] enchanting [IMPLY] horrible [PERIOD]
clean [AND] troubled [AND] horrible [IMPLY] gorgeous [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   fine ⇒ zealous
   fine ⇒ polite
   polite ⇒ enchanting
   Cannot apply rule “zealous ∧ fancy ∧ enchanting ⇒ clean” because missing: fancy.
",0,4
"Facts:  Alice is vivacious [PERIOD] Alice is broad-minded [PERIOD] Alice is homely [PERIOD] Alice is foolish [PERIOD]
Rules:
strange [AND] mean [AND] gorgeous [IMPLY] powerful [PERIOD]
strange [AND] lucky [AND] famous [IMPLY] hypocritical [PERIOD]
broad-minded [AND] gifted [AND] mean [IMPLY] tame [PERIOD]
fancy [AND] gifted [IMPLY] mean [PERIOD]
powerful [IMPLY] vivacious [PERIOD]
powerful [AND] foolish [AND] cute [IMPLY] strange [PERIOD]
gifted [AND] charming [IMPLY] tame [PERIOD]
gifted [IMPLY] shiny [PERIOD]
powerful [AND] foolish [AND] strange [IMPLY] old-fashioned [PERIOD]
joyous [IMPLY] broad-minded [PERIOD]
charming [IMPLY] strange [PERIOD]
lucky [IMPLY] gifted [PERIOD]
frantic [IMPLY] foolish [PERIOD]
gorgeous [AND] foolish [AND] old-fashioned [IMPLY] joyous [PERIOD]
powerful [IMPLY] gorgeous [PERIOD]
frantic [AND] joyous [AND] old-fashioned [IMPLY] vivacious [PERIOD]
outstanding [AND] hypocritical [AND] broad-minded [IMPLY] vivacious [PERIOD]
mean [IMPLY] strange [PERIOD]
strange [AND] lucky [IMPLY] cute [PERIOD]
foolish [AND] broad-minded [AND] charming [IMPLY] light [PERIOD]
shiny [AND] mean [AND] powerful [IMPLY] charming [PERIOD]
hypocritical [AND] powerful [IMPLY] foolish [PERIOD]
powerful [AND] alert [AND] mean [IMPLY] outstanding [PERIOD]
strange [IMPLY] broad-minded [PERIOD]
cute [IMPLY] charming [PERIOD]
broad-minded [AND] vivacious [AND] gorgeous [IMPLY] charming [PERIOD]
hypocritical [AND] old-fashioned [AND] shiny [IMPLY] gifted [PERIOD]
gorgeous [IMPLY] frantic [PERIOD]
tame [IMPLY] broad-minded [PERIOD]
strange [AND] charming [AND] outstanding [IMPLY] joyous [PERIOD]
gorgeous [AND] light [IMPLY] strange [PERIOD]
vivacious [AND] light [AND] gorgeous [IMPLY] tame [PERIOD]
charming [IMPLY] vivacious [PERIOD]
joyous [AND] powerful [AND] strange [IMPLY] foolish [PERIOD]
tame [AND] mean [AND] strange [IMPLY] broad-minded [PERIOD]
frantic [AND] cute [AND] alert [IMPLY] famous [PERIOD]
lucky [IMPLY] charming [PERIOD]
cute [AND] light [IMPLY] shiny [PERIOD]
hypocritical [AND] mean [AND] old-fashioned [IMPLY] tame [PERIOD]
hypocritical [AND] powerful [AND] foolish [IMPLY] vivacious [PERIOD]
gifted [AND] mean [AND] old-fashioned [IMPLY] vivacious [PERIOD]
charming [AND] broad-minded [AND] homely [IMPLY] cute [PERIOD]
hypocritical [AND] fancy [AND] broad-minded [IMPLY] homely [PERIOD]
gifted [AND] powerful [AND] alert [IMPLY] homely [PERIOD]
charming [IMPLY] shiny [PERIOD]
charming [IMPLY] broad-minded [PERIOD]
fancy [AND] gifted [AND] shiny [IMPLY] gorgeous [PERIOD]
fancy [AND] outstanding [IMPLY] homely [PERIOD]
charming [AND] outstanding [IMPLY] powerful [PERIOD]
foolish [IMPLY] powerful [PERIOD]
foolish [IMPLY] hypocritical [PERIOD]
homely [AND] tame [AND] gifted [IMPLY] foolish [PERIOD]
joyous [AND] gorgeous [IMPLY] light [PERIOD]
mean [IMPLY] powerful [PERIOD]
old-fashioned [AND] outstanding [IMPLY] famous [PERIOD]
joyous [IMPLY] vivacious [PERIOD]
frantic [IMPLY] outstanding [PERIOD]
shiny [AND] foolish [IMPLY] gorgeous [PERIOD]
old-fashioned [AND] frantic [IMPLY] foolish [PERIOD]
joyous [AND] light [IMPLY] famous [PERIOD]
tame [IMPLY] strange [PERIOD]
old-fashioned [AND] lucky [IMPLY] alert [PERIOD]
gorgeous [IMPLY] homely [PERIOD]
vivacious [AND] old-fashioned [IMPLY] joyous [PERIOD]
old-fashioned [IMPLY] alert [PERIOD]
light [IMPLY] gifted [PERIOD]
shiny [IMPLY] famous [PERIOD]
vivacious [IMPLY] hypocritical [PERIOD]
broad-minded [IMPLY] famous [PERIOD]
old-fashioned [IMPLY] mean [PERIOD]
tame [AND] homely [AND] joyous [IMPLY] strange [PERIOD]
broad-minded [AND] light [AND] cute [IMPLY] vivacious [PERIOD]
powerful [IMPLY] alert [PERIOD]
shiny [IMPLY] alert [PERIOD]
cute [AND] lucky [IMPLY] powerful [PERIOD]
famous [AND] light [IMPLY] homely [PERIOD]
foolish [AND] charming [AND] famous [IMPLY] vivacious [PERIOD]
hypocritical [IMPLY] gorgeous [PERIOD]
frantic [AND] fancy [IMPLY] homely [PERIOD]
vivacious [IMPLY] broad-minded [PERIOD]
cute [IMPLY] mean [PERIOD]
broad-minded [IMPLY] old-fashioned [PERIOD]
vivacious [AND] charming [IMPLY] homely [PERIOD]
foolish [AND] light [AND] vivacious [IMPLY] tame [PERIOD]
foolish [AND] joyous [IMPLY] fancy [PERIOD]
outstanding [AND] tame [AND] powerful [IMPLY] light [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   broad-minded ⇒ old-fashioned
   old-fashioned ⇒ mean
   mean ⇒ strange
",1,3
"Facts:  Alice is silly [PERIOD] Alice is attractive [PERIOD] Alice is hypocritical [PERIOD] Alice is blushing [PERIOD] Alice is intellectual [PERIOD] Alice is fine [PERIOD] Alice is adorable [PERIOD] Alice is cute [PERIOD] Alice is messy [PERIOD] Alice is crowded [PERIOD] Alice is courageous [PERIOD] Alice is stubborn [PERIOD] Alice is proud [PERIOD] Alice is sleepy [PERIOD] Alice is joyous [PERIOD]
Rules:
proud [AND] hypocritical [IMPLY] adorable [PERIOD]
blushing [AND] careless [IMPLY] joyous [PERIOD]
enchanting [AND] intellectual [IMPLY] proud [PERIOD]
blushing [AND] careless [IMPLY] sleepy [PERIOD]
blushing [AND] enchanting [AND] plain [IMPLY] crowded [PERIOD]
hypocritical [AND] average [AND] confused [IMPLY] cute [PERIOD]
joyous [AND] attractive [AND] adorable [IMPLY] perfect [PERIOD]
average [AND] embarrassed [IMPLY] silly [PERIOD]
courageous [AND] frightened [AND] uptight [IMPLY] hypocritical [PERIOD]
attractive [AND] silly [IMPLY] frightened [PERIOD]
hypocritical [AND] messy [IMPLY] plain [PERIOD]
careless [IMPLY] joyous [PERIOD]
frightened [IMPLY] uptight [PERIOD]
versatile [IMPLY] adorable [PERIOD]
messy [IMPLY] spotless [PERIOD]
careless [AND] attractive [AND] courageous [IMPLY] confused [PERIOD]
confused [AND] joyous [AND] frightened [IMPLY] blushing [PERIOD]
silly [IMPLY] versatile [PERIOD]
confused [AND] silly [AND] uptight [IMPLY] average [PERIOD]
uptight [IMPLY] embarrassed [PERIOD]
attractive [IMPLY] crowded [PERIOD]
joyous [IMPLY] frightened [PERIOD]
plain [IMPLY] sleepy [PERIOD]
spotless [AND] careless [AND] enchanting [IMPLY] intellectual [PERIOD]
perfect [AND] blushing [AND] sleepy [IMPLY] plain [PERIOD]
crowded [AND] average [AND] cute [IMPLY] uptight [PERIOD]
confused [AND] attractive [IMPLY] hypocritical [PERIOD]
frightened [AND] careless [AND] uptight [IMPLY] versatile [PERIOD]
spotless [AND] proud [IMPLY] fine [PERIOD]
attractive [IMPLY] intellectual [PERIOD]
attractive [IMPLY] proud [PERIOD]
hypocritical [AND] versatile [AND] cute [IMPLY] fine [PERIOD]
stubborn [IMPLY] hypocritical [PERIOD]
uptight [IMPLY] confused [PERIOD]
average [IMPLY] spotless [PERIOD]
silly [AND] uptight [AND] plain [IMPLY] attractive [PERIOD]
confused [AND] silly [IMPLY] courageous [PERIOD]
careless [IMPLY] courageous [PERIOD]
plain [AND] fine [IMPLY] hypocritical [PERIOD]
versatile [AND] intellectual [AND] uptight [IMPLY] stubborn [PERIOD]
perfect [IMPLY] sleepy [PERIOD]
confused [AND] hypocritical [AND] messy [IMPLY] plain [PERIOD]
average [AND] attractive [AND] cute [IMPLY] versatile [PERIOD]
intellectual [AND] crowded [AND] courageous [IMPLY] blushing [PERIOD]
versatile [IMPLY] perfect [PERIOD]
hypocritical [AND] uptight [IMPLY] perfect [PERIOD]
messy [IMPLY] proud [PERIOD]
perfect [AND] intellectual [AND] hypocritical [IMPLY] spotless [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   joyous ⇒ frightened
   frightened ⇒ uptight
   uptight ⇒ embarrassed
",1,3
"Facts:  Alice is alert [PERIOD] Alice is hurt [PERIOD] Alice is frail [PERIOD] Alice is fancy [PERIOD] Alice is combative [PERIOD] Alice is zealous [PERIOD] Alice is weary [PERIOD]
Rules:
frantic [AND] disobedient [AND] blushing [IMPLY] sleepy [PERIOD]
attractive [AND] weary [AND] combative [IMPLY] clean [PERIOD]
combative [AND] zealous [IMPLY] weary [PERIOD]
crowded [IMPLY] gorgeous [PERIOD]
wrong [IMPLY] fancy [PERIOD]
frail [AND] blushing [AND] hurt [IMPLY] polite [PERIOD]
combative [AND] wrong [IMPLY] charming [PERIOD]
muddy [AND] rational [AND] blushing [IMPLY] combative [PERIOD]
rational [IMPLY] polite [PERIOD]
charming [AND] attractive [IMPLY] wrong [PERIOD]
frail [AND] attractive [IMPLY] lucky [PERIOD]
gorgeous [AND] weary [AND] hurt [IMPLY] attractive [PERIOD]
gorgeous [AND] zealous [IMPLY] frantic [PERIOD]
combative [AND] gorgeous [IMPLY] lucky [PERIOD]
alert [IMPLY] sleepy [PERIOD]
disobedient [IMPLY] weary [PERIOD]
gorgeous [IMPLY] sleepy [PERIOD]
rational [AND] blushing [AND] crowded [IMPLY] polite [PERIOD]
frantic [IMPLY] hurt [PERIOD]
crowded [AND] fancy [AND] alert [IMPLY] hurt [PERIOD]
gorgeous [AND] frantic [IMPLY] polite [PERIOD]
combative [AND] charming [AND] rational [IMPLY] frantic [PERIOD]
lucky [IMPLY] frail [PERIOD]
gorgeous [AND] clean [IMPLY] crowded [PERIOD]
hurt [IMPLY] combative [PERIOD]
disobedient [IMPLY] lucky [PERIOD]
weary [IMPLY] muddy [PERIOD]
zealous [IMPLY] rational [PERIOD]
sleepy [IMPLY] lucky [PERIOD]
crowded [AND] frantic [AND] lucky [IMPLY] attractive [PERIOD]
rational [AND] combative [IMPLY] hurt [PERIOD]
combative [AND] wrong [IMPLY] weary [PERIOD]
rational [AND] wrong [IMPLY] charming [PERIOD]
gorgeous [AND] rational [AND] combative [IMPLY] frantic [PERIOD]
frail [IMPLY] blushing [PERIOD]
muddy [AND] fancy [AND] alert [IMPLY] polite [PERIOD]
attractive [AND] gorgeous [AND] combative [IMPLY] crowded [PERIOD]
rational [AND] frantic [IMPLY] muddy [PERIOD]
crowded [AND] fancy [AND] rational [IMPLY] alert [PERIOD]
fancy [AND] frantic [AND] combative [IMPLY] lucky [PERIOD]
blushing [IMPLY] charming [PERIOD]
polite [IMPLY] wrong [PERIOD]
charming [AND] frantic [AND] gorgeous [IMPLY] alert [PERIOD]
gorgeous [IMPLY] hurt [PERIOD]
charming [AND] weary [AND] polite [IMPLY] blushing [PERIOD]
clean [AND] disobedient [IMPLY] polite [PERIOD]
lucky [IMPLY] sleepy [PERIOD]
clean [IMPLY] polite [PERIOD]
charming [AND] rational [IMPLY] wrong [PERIOD]
muddy [AND] combative [AND] crowded [IMPLY] sleepy [PERIOD]
disobedient [AND] clean [IMPLY] weary [PERIOD]
sleepy [IMPLY] muddy [PERIOD]
hurt [AND] lucky [IMPLY] frail [PERIOD]
frail [IMPLY] combative [PERIOD]
zealous [IMPLY] charming [PERIOD]
alert [AND] combative [AND] lucky [IMPLY] hurt [PERIOD]
gorgeous [AND] muddy [IMPLY] blushing [PERIOD]
muddy [AND] disobedient [AND] wrong [IMPLY] charming [PERIOD]
muddy [IMPLY] combative [PERIOD]
fancy [AND] zealous [AND] frantic [IMPLY] crowded [PERIOD]
gorgeous [AND] charming [AND] alert [IMPLY] frantic [PERIOD]
fancy [AND] blushing [AND] alert [IMPLY] disobedient [PERIOD]
frantic [AND] alert [IMPLY] blushing [PERIOD]
gorgeous [AND] hurt [IMPLY] crowded [PERIOD]
alert [IMPLY] combative [PERIOD]
rational [AND] polite [AND] frantic [IMPLY] weary [PERIOD]
blushing [AND] frail [AND] sleepy [IMPLY] muddy [PERIOD]
wrong [AND] zealous [IMPLY] fancy [PERIOD]
lucky [AND] gorgeous [IMPLY] wrong [PERIOD]
clean [AND] frail [AND] attractive [IMPLY] fancy [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   zealous ⇒ charming
   zealous ⇒ rational
   charming ∧ rational ⇒ wrong
",1,3
"Facts:  Alice is elated [PERIOD] Alice is bored [PERIOD] Alice is friendly [PERIOD] Alice is scared [PERIOD] Alice is precious [PERIOD] Alice is ambitious [PERIOD] Alice is troubled [PERIOD] Alice is combative [PERIOD] Alice is fine [PERIOD] Alice is victorious [PERIOD] Alice is light [PERIOD] Alice is cooperative [PERIOD] Alice is rude [PERIOD]
Rules:
rude [IMPLY] bored [PERIOD]
combative [IMPLY] rude [PERIOD]
victorious [AND] elated [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] friendly [PERIOD]
bored [AND] light [IMPLY] precious [PERIOD]
scared [IMPLY] troubled [PERIOD]
elated [AND] fine [IMPLY] straightforward [PERIOD]
precious [IMPLY] victorious [PERIOD]
combative [AND] proud [IMPLY] troubled [PERIOD]
troubled [AND] fine [IMPLY] bored [PERIOD]
bored [AND] elated [AND] cooperative [IMPLY] ambitious [PERIOD]
fine [AND] precious [IMPLY] friendly [PERIOD]
cooperative [AND] fine [IMPLY] rude [PERIOD]
friendly [IMPLY] light [PERIOD]
proud [IMPLY] elated [PERIOD]
friendly [IMPLY] fine [PERIOD]
cooperative [IMPLY] elated [PERIOD]
victorious [AND] proud [IMPLY] straightforward [PERIOD]
proud [IMPLY] straightforward [PERIOD]
frantic [AND] elated [IMPLY] horrible [PERIOD]
scared [AND] light [IMPLY] combative [PERIOD]
combative [IMPLY] victorious [PERIOD]
cooperative [AND] troubled [IMPLY] ambitious [PERIOD]
fine [AND] victorious [AND] elated [IMPLY] frantic [PERIOD]
troubled [AND] horrible [AND] rude [IMPLY] frantic [PERIOD]
scared [IMPLY] ambitious [PERIOD]
frantic [AND] ambitious [IMPLY] scared [PERIOD]
light [AND] precious [AND] scared [IMPLY] combative [PERIOD]
cooperative [AND] proud [IMPLY] precious [PERIOD]
cooperative [AND] horrible [AND] ambitious [IMPLY] friendly [PERIOD]
ambitious [IMPLY] combative [PERIOD]
elated [AND] rude [AND] ambitious [IMPLY] victorious [PERIOD]
cooperative [IMPLY] frantic [PERIOD]
light [AND] friendly [AND] bored [IMPLY] frantic [PERIOD]
combative [IMPLY] friendly [PERIOD]
proud [AND] troubled [AND] precious [IMPLY] elated [PERIOD]
frantic [AND] elated [AND] victorious [IMPLY] straightforward [PERIOD]
light [AND] troubled [AND] precious [IMPLY] cooperative [PERIOD]
troubled [IMPLY] combative [PERIOD]
victorious [IMPLY] cooperative [PERIOD]
horrible [AND] victorious [IMPLY] combative [PERIOD]
troubled [IMPLY] ambitious [PERIOD]
victorious [AND] proud [IMPLY] combative [PERIOD]
ambitious [AND] combative [IMPLY] victorious [PERIOD]
straightforward [AND] frantic [IMPLY] precious [PERIOD]
victorious [AND] frantic [IMPLY] ambitious [PERIOD]
light [AND] victorious [IMPLY] friendly [PERIOD]
rude [AND] friendly [AND] fine [IMPLY] straightforward [PERIOD]
bored [IMPLY] horrible [PERIOD]
combative [AND] troubled [AND] fine [IMPLY] friendly [PERIOD]
rude [AND] scared [IMPLY] bored [PERIOD]
elated [AND] precious [IMPLY] troubled [PERIOD]
fine [AND] troubled [IMPLY] light [PERIOD]
fine [AND] horrible [AND] precious [IMPLY] frantic [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   elated ∧ fine ⇒ straightforward
",1,1
"Facts:  Alice is impatient [PERIOD] Alice is mean [PERIOD] Alice is innocent [PERIOD] Alice is nervous [PERIOD] Alice is good [PERIOD] Alice is charming [PERIOD] Alice is tidy [PERIOD] Alice is worried [PERIOD] Alice is amused [PERIOD]
Rules:
mean [AND] easy [IMPLY] good [PERIOD]
zealous [AND] bad-tempered [AND] cute [IMPLY] nervous [PERIOD]
enchanting [AND] joyous [AND] nervous [IMPLY] fine [PERIOD]
fine [AND] mysterious [IMPLY] rude [PERIOD]
sleepy [IMPLY] charming [PERIOD]
gifted [AND] worried [IMPLY] good [PERIOD]
fine [AND] modern [AND] rude [IMPLY] impatient [PERIOD]
wide-eyed [AND] fine [IMPLY] charming [PERIOD]
good [AND] wide-eyed [AND] disobedient [IMPLY] bad-tempered [PERIOD]
wandering [AND] charming [AND] fine [IMPLY] bad-tempered [PERIOD]
worried [IMPLY] modern [PERIOD]
good [IMPLY] mean [PERIOD]
sleepy [AND] scared [IMPLY] wandering [PERIOD]
rude [AND] modern [IMPLY] shy [PERIOD]
bad-tempered [IMPLY] zealous [PERIOD]
mean [AND] innocent [IMPLY] bad-tempered [PERIOD]
cute [IMPLY] troubled [PERIOD]
impatient [IMPLY] gifted [PERIOD]
joyous [AND] good [AND] zealous [IMPLY] grumpy [PERIOD]
charming [AND] amused [AND] grumpy [IMPLY] mean [PERIOD]
disobedient [AND] rude [AND] joyous [IMPLY] innocent [PERIOD]
nervous [AND] rude [IMPLY] sleepy [PERIOD]
nervous [AND] grumpy [IMPLY] cute [PERIOD]
worried [AND] mysterious [IMPLY] grumpy [PERIOD]
wide-eyed [AND] impatient [AND] joyous [IMPLY] plain [PERIOD]
troubled [IMPLY] scared [PERIOD]
good [AND] mysterious [AND] zealous [IMPLY] modern [PERIOD]
nervous [AND] good [AND] modern [IMPLY] fine [PERIOD]
jittery [AND] nervous [AND] mean [IMPLY] innocent [PERIOD]
tidy [AND] easy [AND] charming [IMPLY] troubled [PERIOD]
fine [AND] sleepy [AND] zealous [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] sleepy [PERIOD]
sleepy [AND] enchanting [IMPLY] plain [PERIOD]
tidy [AND] grumpy [IMPLY] charming [PERIOD]
jittery [IMPLY] grumpy [PERIOD]
troubled [AND] shy [IMPLY] zealous [PERIOD]
easy [AND] rude [IMPLY] impatient [PERIOD]
good [AND] gifted [IMPLY] tidy [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   mean ∧ innocent ⇒ bad-tempered
   bad-tempered ⇒ zealous
   Cannot apply rule “joyous ∧ good ∧ zealous ⇒ grumpy” because missing: joyous.
   Cannot apply rule “worried ∧ mysterious ⇒ grumpy” because missing: mysterious.
   Cannot apply rule “jittery ⇒ grumpy” because missing: jittery.
",0,5
"Facts:  Alice is tired [PERIOD] Alice is bossy [PERIOD] Alice is diplomatic [PERIOD] Alice is wandering [PERIOD] Alice is witty [PERIOD] Alice is average [PERIOD] Alice is worrisome [PERIOD] Alice is reserved [PERIOD]
Rules:
worried [IMPLY] attentive [PERIOD]
homely [IMPLY] worrisome [PERIOD]
cooperative [AND] worrisome [IMPLY] gorgeous [PERIOD]
friendly [AND] wandering [AND] average [IMPLY] worrisome [PERIOD]
gorgeous [AND] thoughtless [IMPLY] attentive [PERIOD]
reserved [AND] average [IMPLY] bossy [PERIOD]
diplomatic [AND] bossy [AND] witty [IMPLY] strange [PERIOD]
careless [IMPLY] attentive [PERIOD]
attentive [IMPLY] witty [PERIOD]
wandering [IMPLY] worried [PERIOD]
worried [IMPLY] worrisome [PERIOD]
joyous [AND] diplomatic [AND] tired [IMPLY] witty [PERIOD]
witty [AND] cooperative [AND] diplomatic [IMPLY] reserved [PERIOD]
witty [IMPLY] thoughtless [PERIOD]
homely [AND] bossy [AND] careless [IMPLY] strange [PERIOD]
careless [IMPLY] thoughtless [PERIOD]
diplomatic [AND] grumpy [AND] careless [IMPLY] reserved [PERIOD]
grumpy [AND] tired [AND] bossy [IMPLY] strange [PERIOD]
reserved [IMPLY] joyous [PERIOD]
attentive [IMPLY] cute [PERIOD]
tired [IMPLY] worried [PERIOD]
worrisome [AND] worried [AND] thoughtless [IMPLY] bossy [PERIOD]
diplomatic [IMPLY] cooperative [PERIOD]
tired [AND] worried [AND] friendly [IMPLY] diplomatic [PERIOD]
witty [IMPLY] worrisome [PERIOD]
gorgeous [IMPLY] worried [PERIOD]
witty [AND] reserved [IMPLY] diplomatic [PERIOD]
bossy [AND] worried [AND] famous [IMPLY] careless [PERIOD]
worrisome [AND] average [AND] homely [IMPLY] careless [PERIOD]
famous [IMPLY] joyous [PERIOD]
cooperative [AND] reserved [AND] worrisome [IMPLY] thoughtless [PERIOD]
careless [AND] homely [IMPLY] gorgeous [PERIOD]
joyous [IMPLY] tired [PERIOD]
witty [AND] grumpy [IMPLY] gorgeous [PERIOD]
thoughtless [AND] joyous [IMPLY] gorgeous [PERIOD]
gorgeous [IMPLY] worrisome [PERIOD]
worried [AND] thoughtless [AND] strange [IMPLY] reserved [PERIOD]
reserved [AND] homely [AND] bossy [IMPLY] attentive [PERIOD]
attentive [AND] famous [IMPLY] strange [PERIOD]
tired [AND] worrisome [AND] thoughtless [IMPLY] average [PERIOD]
thoughtless [IMPLY] strange [PERIOD]
worried [IMPLY] bossy [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   tired ⇒ worried
   worried ⇒ attentive
   attentive ⇒ cute
",1,3
"Facts:  Alice is homely [PERIOD] Alice is victorious [PERIOD] Alice is cruel [PERIOD] Alice is helpful [PERIOD] Alice is nervous [PERIOD] Alice is inquisitive [PERIOD] Alice is combative [PERIOD] Alice is dull [PERIOD] Alice is clumsy [PERIOD] Alice is shy [PERIOD] Alice is tame [PERIOD] Alice is sincere [PERIOD] Alice is frantic [PERIOD]
Rules:
cruel [AND] sincere [IMPLY] grumpy [PERIOD]
frightened [AND] busy [IMPLY] combative [PERIOD]
tame [AND] uptight [AND] shy [IMPLY] sincere [PERIOD]
grumpy [IMPLY] strange [PERIOD]
hilarious [IMPLY] wrong [PERIOD]
combative [IMPLY] homely [PERIOD]
combative [AND] gifted [IMPLY] nervous [PERIOD]
strange [AND] hilarious [AND] busy [IMPLY] homely [PERIOD]
homely [AND] helpless [AND] grumpy [IMPLY] wrong [PERIOD]
grumpy [IMPLY] cruel [PERIOD]
shy [IMPLY] inquisitive [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   Cannot apply rule “hilarious ⇒ wrong” because missing: hilarious.
   cruel ∧ sincere ⇒ grumpy
   Cannot apply rule “homely ∧ helpless ∧ grumpy ⇒ wrong” because missing: helpless.
",0,3
"Facts: 
Rules:
tired [IMPLY] messy [PERIOD]
troubled [AND] tired [IMPLY] messy [PERIOD]
proud [AND] homely [AND] gorgeous [IMPLY] uptight [PERIOD]
calm [AND] inexpensive [AND] embarrassed [IMPLY] proud [PERIOD]
messy [AND] gorgeous [IMPLY] inexpensive [PERIOD]
homely [IMPLY] messy [PERIOD]
calm [AND] troubled [IMPLY] embarrassed [PERIOD]
tired [AND] uptight [IMPLY] calm [PERIOD]
tired [IMPLY] calm [PERIOD]
calm [IMPLY] proud [PERIOD]
messy [AND] tired [IMPLY] uptight [PERIOD]
inexpensive [AND] proud [AND] embarrassed [IMPLY] messy [PERIOD]
homely [IMPLY] uptight [PERIOD]
tired [AND] homely [IMPLY] proud [PERIOD]
proud [IMPLY] inexpensive [PERIOD]
tired [AND] gorgeous [AND] troubled [IMPLY] inexpensive [PERIOD]
troubled [AND] uptight [AND] proud [IMPLY] calm [PERIOD]
calm [IMPLY] inexpensive [PERIOD]
embarrassed [AND] troubled [IMPLY] anxious [PERIOD]
gorgeous [AND] uptight [AND] proud [IMPLY] troubled [PERIOD]
uptight [AND] homely [AND] calm [IMPLY] inexpensive [PERIOD]
uptight [AND] homely [AND] messy [IMPLY] tired [PERIOD]
gorgeous [AND] proud [AND] tired [IMPLY] inexpensive [PERIOD]
messy [AND] tired [AND] uptight [IMPLY] proud [PERIOD]
proud [IMPLY] troubled [PERIOD]
anxious [AND] embarrassed [AND] uptight [IMPLY] tired [PERIOD]
gorgeous [AND] messy [AND] homely [IMPLY] anxious [PERIOD]
tired [AND] inexpensive [IMPLY] uptight [PERIOD]
homely [AND] anxious [AND] calm [IMPLY] troubled [PERIOD]
gorgeous [AND] proud [AND] tired [IMPLY] messy [PERIOD]
embarrassed [AND] inexpensive [AND] messy [IMPLY] uptight [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   Cannot apply rule “messy ∧ gorgeous ⇒ inexpensive” because missing: messy, gorgeous.
   Cannot apply rule “proud ⇒ inexpensive” because missing: proud.
   Cannot apply rule “tired ∧ gorgeous ∧ troubled ⇒ inexpensive” because missing: tired, gorgeous, troubled.
   Cannot apply rule “calm ⇒ inexpensive” because missing: calm.
   Cannot apply rule “uptight ∧ homely ∧ calm ⇒ inexpensive” because missing: uptight, homely, calm.
   Cannot apply rule “gorgeous ∧ proud ∧ tired ⇒ inexpensive” because missing: gorgeous, proud, tired.
",0,6
"Facts:  Alice is confident [PERIOD] Alice is spotless [PERIOD] Alice is curious [PERIOD] Alice is gifted [PERIOD] Alice is attractive [PERIOD] Alice is naughty [PERIOD] Alice is impatient [PERIOD] Alice is hypocritical [PERIOD] Alice is troubled [PERIOD] Alice is ugliest [PERIOD] Alice is good [PERIOD] Alice is lonely [PERIOD] Alice is quaint [PERIOD] Alice is selfish [PERIOD] Alice is dishonest [PERIOD] Alice is cruel [PERIOD] Alice is popular [PERIOD] Alice is agreeable [PERIOD] Alice is bright [PERIOD] Alice is bored [PERIOD]
Rules:
cruel [IMPLY] tense [PERIOD]
spotless [AND] curious [IMPLY] busy [PERIOD]
sincere [AND] bored [AND] cruel [IMPLY] quaint [PERIOD]
dishonest [AND] good [AND] popular [IMPLY] quaint [PERIOD]
impatient [AND] troubled [IMPLY] selfish [PERIOD]
selfish [AND] attractive [IMPLY] good [PERIOD]
impatient [IMPLY] bored [PERIOD]
naughty [IMPLY] ugliest [PERIOD]
bright [IMPLY] ugliest [PERIOD]
naughty [AND] gifted [AND] bright [IMPLY] pessimistic [PERIOD]
dishonest [AND] lonely [AND] troubled [IMPLY] spotless [PERIOD]
dishonest [AND] good [AND] bored [IMPLY] cruel [PERIOD]
bright [AND] busy [IMPLY] curious [PERIOD]
popular [AND] naughty [AND] selfish [IMPLY] courageous [PERIOD]
dishonest [AND] bright [AND] embarrassed [IMPLY] pessimistic [PERIOD]
cruel [IMPLY] quaint [PERIOD]
pessimistic [AND] naughty [IMPLY] hypocritical [PERIOD]
courageous [AND] curious [IMPLY] agreeable [PERIOD]
good [AND] impatient [AND] quaint [IMPLY] cruel [PERIOD]
good [AND] dishonest [IMPLY] bright [PERIOD]
lonely [AND] courageous [AND] attractive [IMPLY] cruel [PERIOD]
popular [AND] impatient [IMPLY] pessimistic [PERIOD]
attractive [AND] pessimistic [IMPLY] curious [PERIOD]
attractive [AND] courageous [AND] busy [IMPLY] spotless [PERIOD]
sincere [IMPLY] gifted [PERIOD]
bored [AND] embarrassed [AND] good [IMPLY] lonely [PERIOD]
bright [IMPLY] spotless [PERIOD]
dishonest [IMPLY] busy [PERIOD]
gifted [AND] selfish [AND] popular [IMPLY] naughty [PERIOD]
courageous [IMPLY] impatient [PERIOD]
good [AND] gifted [IMPLY] confident [PERIOD]
agreeable [AND] gifted [IMPLY] popular [PERIOD]
agreeable [AND] busy [IMPLY] courageous [PERIOD]
busy [IMPLY] spotless [PERIOD]
dishonest [AND] pessimistic [AND] impatient [IMPLY] busy [PERIOD]
attractive [AND] troubled [IMPLY] hypocritical [PERIOD]
curious [IMPLY] hypocritical [PERIOD]
bright [AND] cruel [AND] agreeable [IMPLY] hypocritical [PERIOD]
quaint [AND] embarrassed [AND] bored [IMPLY] hypocritical [PERIOD]
lonely [IMPLY] impatient [PERIOD]
quaint [AND] troubled [AND] confident [IMPLY] agreeable [PERIOD]
ugliest [IMPLY] sincere [PERIOD]
impatient [IMPLY] spotless [PERIOD]
quaint [AND] tense [AND] lonely [IMPLY] gifted [PERIOD]
bright [AND] spotless [AND] troubled [IMPLY] confident [PERIOD]
quaint [IMPLY] good [PERIOD]
good [AND] hypocritical [IMPLY] bored [PERIOD]
curious [AND] troubled [AND] spotless [IMPLY] courageous [PERIOD]
troubled [AND] popular [AND] courageous [IMPLY] busy [PERIOD]
impatient [AND] dishonest [IMPLY] curious [PERIOD]
agreeable [AND] sincere [IMPLY] confident [PERIOD]
bright [AND] troubled [IMPLY] busy [PERIOD]
good [AND] sincere [AND] confident [IMPLY] dishonest [PERIOD]
sincere [IMPLY] busy [PERIOD]
gifted [AND] impatient [AND] good [IMPLY] dishonest [PERIOD]
ugliest [AND] hypocritical [AND] pessimistic [IMPLY] troubled [PERIOD]
sincere [IMPLY] good [PERIOD]
bright [IMPLY] pessimistic [PERIOD]
bright [AND] gifted [IMPLY] agreeable [PERIOD]
ugliest [AND] spotless [IMPLY] curious [PERIOD]
attractive [AND] spotless [AND] embarrassed [IMPLY] agreeable [PERIOD]
confident [AND] tense [AND] quaint [IMPLY] gifted [PERIOD]
tense [AND] troubled [IMPLY] naughty [PERIOD]
impatient [AND] spotless [AND] gifted [IMPLY] dishonest [PERIOD]
courageous [AND] impatient [AND] embarrassed [IMPLY] quaint [PERIOD]
sincere [AND] troubled [IMPLY] ugliest [PERIOD]
courageous [AND] popular [IMPLY] dishonest [PERIOD]
dishonest [AND] selfish [AND] attractive [IMPLY] impatient [PERIOD]
popular [AND] lonely [IMPLY] bright [PERIOD]
busy [AND] spotless [AND] dishonest [IMPLY] agreeable [PERIOD]
confident [AND] agreeable [IMPLY] tense [PERIOD]
bored [AND] popular [IMPLY] confident [PERIOD]
embarrassed [AND] popular [IMPLY] troubled [PERIOD]
cruel [AND] troubled [IMPLY] hypocritical [PERIOD]
ugliest [AND] embarrassed [AND] troubled [IMPLY] dishonest [PERIOD]
embarrassed [IMPLY] dishonest [PERIOD]
quaint [IMPLY] embarrassed [PERIOD]
hypocritical [AND] selfish [IMPLY] lonely [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is fragile [PERIOD]
Rules:
stupid [AND] broad-minded [IMPLY] diplomatic [PERIOD]
elated [AND] zealous [AND] frantic [IMPLY] bright [PERIOD]
polite [IMPLY] powerful [PERIOD]
hurt [AND] polite [IMPLY] broad-minded [PERIOD]
powerful [AND] elated [AND] weary [IMPLY] pleasant [PERIOD]
gorgeous [AND] broad-minded [IMPLY] bright [PERIOD]
fancy [IMPLY] polite [PERIOD]
attractive [AND] cute [IMPLY] weary [PERIOD]
bright [IMPLY] long [PERIOD]
hurt [AND] ugliest [IMPLY] long [PERIOD]
inquisitive [AND] mysterious [AND] pleasant [IMPLY] exuberant [PERIOD]
powerful [AND] weary [AND] uptight [IMPLY] stupid [PERIOD]
sincere [IMPLY] uptight [PERIOD]
sincere [AND] long [IMPLY] courageous [PERIOD]
fragile [AND] inquisitive [IMPLY] hurt [PERIOD]
hurt [IMPLY] pleasant [PERIOD]
polite [AND] mysterious [AND] long [IMPLY] elated [PERIOD]
hurt [IMPLY] quaint [PERIOD]
frantic [IMPLY] powerful [PERIOD]
long [AND] attractive [AND] weary [IMPLY] gorgeous [PERIOD]
sincere [AND] frantic [AND] powerful [IMPLY] quaint [PERIOD]
mysterious [AND] ugliest [AND] stupid [IMPLY] gorgeous [PERIOD]
mean [AND] disgusted [AND] quaint [IMPLY] stupid [PERIOD]
broad-minded [AND] mysterious [IMPLY] long [PERIOD]
cute [AND] pleasant [AND] gorgeous [IMPLY] disgusted [PERIOD]
cute [IMPLY] mean [PERIOD]
diplomatic [AND] gorgeous [IMPLY] zealous [PERIOD]
ugliest [AND] fancy [AND] quaint [IMPLY] courageous [PERIOD]
attractive [AND] elated [AND] powerful [IMPLY] intellectual [PERIOD]
pleasant [IMPLY] sincere [PERIOD]
sincere [AND] gorgeous [AND] weary [IMPLY] intellectual [PERIOD]
elated [AND] quaint [IMPLY] cute [PERIOD]
weary [IMPLY] courageous [PERIOD]
tame [AND] broad-minded [AND] polite [IMPLY] powerful [PERIOD]
ugliest [AND] long [IMPLY] uptight [PERIOD]
long [AND] diplomatic [IMPLY] gorgeous [PERIOD]
cute [AND] courageous [IMPLY] sincere [PERIOD]
sincere [IMPLY] cute [PERIOD]
elated [AND] frantic [IMPLY] cute [PERIOD]
sincere [AND] courageous [AND] mean [IMPLY] attractive [PERIOD]
polite [AND] diplomatic [AND] fancy [IMPLY] powerful [PERIOD]
intellectual [AND] fragile [IMPLY] uptight [PERIOD]
broad-minded [AND] elated [IMPLY] intellectual [PERIOD]
exuberant [AND] long [IMPLY] diplomatic [PERIOD]
fragile [AND] powerful [AND] gorgeous [IMPLY] hurt [PERIOD]
tame [AND] frantic [AND] polite [IMPLY] disgusted [PERIOD]
gorgeous [IMPLY] stupid [PERIOD]
powerful [AND] inquisitive [IMPLY] gorgeous [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   Cannot apply rule “elated ∧ quaint ⇒ cute” because missing: elated, quaint.
   Cannot apply rule “sincere ⇒ cute” because missing: sincere.
   Cannot apply rule “elated ∧ frantic ⇒ cute” because missing: elated, frantic.
",0,3
"Facts:  Alice is bad-tempered [PERIOD] Alice is polite [PERIOD] Alice is smart [PERIOD] Alice is popular [PERIOD] Alice is helpless [PERIOD] Alice is beautiful [PERIOD] Alice is different [PERIOD] Alice is spotless [PERIOD] Alice is busy [PERIOD]
Rules:
fancy [AND] bad-tempered [IMPLY] different [PERIOD]
dishonest [AND] beautiful [AND] polite [IMPLY] hypocritical [PERIOD]
elegant [AND] smart [AND] beautiful [IMPLY] tense [PERIOD]
hypocritical [AND] different [AND] condemned [IMPLY] ugliest [PERIOD]
hypocritical [IMPLY] helpless [PERIOD]
tense [AND] different [AND] busy [IMPLY] wrong [PERIOD]
wrong [IMPLY] helpless [PERIOD]
fancy [AND] ugliest [IMPLY] rude [PERIOD]
busy [AND] beautiful [IMPLY] powerful [PERIOD]
gifted [IMPLY] fancy [PERIOD]
exuberant [AND] polite [IMPLY] popular [PERIOD]
helpless [AND] modern [IMPLY] polite [PERIOD]
bad-tempered [AND] perfect [AND] different [IMPLY] hypocritical [PERIOD]
helpless [IMPLY] elegant [PERIOD]
hypocritical [AND] elegant [AND] shiny [IMPLY] modern [PERIOD]
exuberant [AND] smart [IMPLY] elegant [PERIOD]
spotless [AND] wrong [IMPLY] different [PERIOD]
condemned [AND] tense [IMPLY] helpless [PERIOD]
helpless [IMPLY] condemned [PERIOD]
rude [AND] ugliest [AND] hypocritical [IMPLY] perfect [PERIOD]
wrong [AND] hypocritical [IMPLY] different [PERIOD]
tense [IMPLY] rude [PERIOD]
spotless [IMPLY] hypocritical [PERIOD]
elegant [IMPLY] spotless [PERIOD]
shiny [AND] tense [AND] outstanding [IMPLY] fancy [PERIOD]
spotless [AND] rude [AND] ugliest [IMPLY] helpless [PERIOD]
hypocritical [AND] rude [IMPLY] modern [PERIOD]
beautiful [IMPLY] busy [PERIOD]
fancy [AND] condemned [IMPLY] powerful [PERIOD]
fancy [IMPLY] different [PERIOD]
beautiful [AND] fancy [AND] condemned [IMPLY] popular [PERIOD]
beautiful [AND] exuberant [IMPLY] smart [PERIOD]
bad-tempered [AND] beautiful [AND] popular [IMPLY] hypocritical [PERIOD]
elegant [AND] ugliest [IMPLY] outstanding [PERIOD]
busy [IMPLY] hypocritical [PERIOD]
exuberant [IMPLY] outstanding [PERIOD]
modern [IMPLY] ugliest [PERIOD]
tense [AND] wrong [AND] busy [IMPLY] exuberant [PERIOD]
rude [AND] hypocritical [AND] condemned [IMPLY] powerful [PERIOD]
modern [AND] gifted [AND] spotless [IMPLY] popular [PERIOD]
smart [IMPLY] different [PERIOD]
perfect [IMPLY] condemned [PERIOD]
tense [AND] elegant [IMPLY] ugliest [PERIOD]
outstanding [AND] condemned [AND] busy [IMPLY] helpless [PERIOD]
bad-tempered [AND] smart [IMPLY] gifted [PERIOD]
perfect [IMPLY] fancy [PERIOD]
condemned [IMPLY] popular [PERIOD]
shiny [AND] spotless [AND] tense [IMPLY] fancy [PERIOD]
tense [AND] hypocritical [AND] modern [IMPLY] elegant [PERIOD]
busy [AND] spotless [AND] elegant [IMPLY] shiny [PERIOD]
helpless [AND] shiny [IMPLY] spotless [PERIOD]
elegant [AND] outstanding [IMPLY] perfect [PERIOD]
exuberant [AND] dishonest [AND] elegant [IMPLY] spotless [PERIOD]
gifted [AND] shiny [IMPLY] polite [PERIOD]
polite [IMPLY] gifted [PERIOD]
beautiful [AND] ugliest [IMPLY] outstanding [PERIOD]
rude [AND] fancy [AND] smart [IMPLY] perfect [PERIOD]
perfect [AND] exuberant [AND] outstanding [IMPLY] different [PERIOD]
helpless [AND] hypocritical [AND] tense [IMPLY] adorable [PERIOD]
exuberant [AND] spotless [AND] elegant [IMPLY] rude [PERIOD]
helpless [AND] beautiful [IMPLY] tense [PERIOD]
dishonest [IMPLY] shiny [PERIOD]
bad-tempered [IMPLY] spotless [PERIOD]
elegant [IMPLY] smart [PERIOD]
helpless [AND] powerful [IMPLY] spotless [PERIOD]
wrong [IMPLY] condemned [PERIOD]
wrong [IMPLY] powerful [PERIOD]
helpless [AND] polite [IMPLY] gifted [PERIOD]
helpless [AND] smart [AND] popular [IMPLY] bad-tempered [PERIOD]
ugliest [AND] hypocritical [IMPLY] powerful [PERIOD]
outstanding [AND] powerful [IMPLY] dishonest [PERIOD]
perfect [AND] helpless [AND] exuberant [IMPLY] bad-tempered [PERIOD]
hypocritical [IMPLY] busy [PERIOD]
ugliest [IMPLY] exuberant [PERIOD]
powerful [AND] wrong [AND] elegant [IMPLY] dishonest [PERIOD]
exuberant [AND] condemned [IMPLY] hypocritical [PERIOD]
exuberant [IMPLY] polite [PERIOD]
beautiful [AND] ugliest [AND] outstanding [IMPLY] rude [PERIOD]
adorable [AND] spotless [IMPLY] tense [PERIOD]
polite [IMPLY] spotless [PERIOD]
smart [IMPLY] powerful [PERIOD]
adorable [IMPLY] different [PERIOD]
elegant [AND] hypocritical [IMPLY] gifted [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   busy ∧ beautiful ⇒ powerful
   helpless ∧ beautiful ⇒ tense
   tense ∧ different ∧ busy ⇒ wrong
   helpless ⇒ elegant
   powerful ∧ wrong ∧ elegant ⇒ dishonest
",1,5
"Facts:  Alice is old-fashioned [PERIOD] Alice is clean [PERIOD] Alice is tame [PERIOD] Alice is pessimistic [PERIOD] Alice is clumsy [PERIOD] Alice is reserved [PERIOD] Alice is gorgeous [PERIOD] Alice is scared [PERIOD] Alice is stubborn [PERIOD] Alice is condemned [PERIOD] Alice is cute [PERIOD]
Rules:
charming [AND] attractive [AND] foolish [IMPLY] scared [PERIOD]
average [IMPLY] clean [PERIOD]
cute [AND] condemned [IMPLY] tame [PERIOD]
gorgeous [AND] tame [IMPLY] serious [PERIOD]
serious [AND] anxious [AND] clean [IMPLY] average [PERIOD]
plain [AND] clumsy [AND] ugly [IMPLY] hilarious [PERIOD]
serious [AND] charming [IMPLY] old-fashioned [PERIOD]
reserved [AND] stubborn [AND] strange [IMPLY] plain [PERIOD]
plain [AND] clumsy [AND] tame [IMPLY] strange [PERIOD]
condemned [AND] selfish [IMPLY] average [PERIOD]
charming [IMPLY] anxious [PERIOD]
mysterious [AND] clean [IMPLY] anxious [PERIOD]
attractive [AND] foolish [IMPLY] pessimistic [PERIOD]
clean [AND] plain [IMPLY] condemned [PERIOD]
anxious [IMPLY] different [PERIOD]
hilarious [AND] selfish [AND] charming [IMPLY] reserved [PERIOD]
strange [AND] condemned [AND] attractive [IMPLY] hilarious [PERIOD]
foolish [AND] tame [AND] pessimistic [IMPLY] mysterious [PERIOD]
anxious [AND] cute [IMPLY] plain [PERIOD]
attractive [IMPLY] cute [PERIOD]
clumsy [IMPLY] old-fashioned [PERIOD]
pessimistic [IMPLY] charming [PERIOD]
mysterious [AND] clumsy [IMPLY] hilarious [PERIOD]
cute [AND] foolish [IMPLY] scared [PERIOD]
scared [IMPLY] average [PERIOD]
ugly [AND] cute [AND] condemned [IMPLY] gorgeous [PERIOD]
stubborn [IMPLY] average [PERIOD]
foolish [IMPLY] pessimistic [PERIOD]
stubborn [AND] charming [IMPLY] attractive [PERIOD]
clean [AND] cute [AND] strange [IMPLY] average [PERIOD]
condemned [AND] scared [IMPLY] stubborn [PERIOD]
anxious [AND] average [AND] selfish [IMPLY] old-fashioned [PERIOD]
cute [AND] clumsy [IMPLY] gorgeous [PERIOD]
stubborn [AND] anxious [IMPLY] cute [PERIOD]
reserved [AND] scared [AND] stubborn [IMPLY] different [PERIOD]
foolish [IMPLY] charming [PERIOD]
ugly [AND] attractive [AND] strange [IMPLY] plain [PERIOD]
plain [IMPLY] different [PERIOD]
stubborn [AND] attractive [AND] plain [IMPLY] average [PERIOD]
attractive [AND] serious [AND] charming [IMPLY] condemned [PERIOD]
attractive [AND] hilarious [AND] clean [IMPLY] serious [PERIOD]
anxious [AND] gorgeous [IMPLY] tame [PERIOD]
hilarious [AND] scared [AND] serious [IMPLY] mysterious [PERIOD]
gorgeous [AND] average [IMPLY] serious [PERIOD]
stubborn [AND] serious [IMPLY] charming [PERIOD]
cute [IMPLY] reserved [PERIOD]
attractive [IMPLY] reserved [PERIOD]
hilarious [IMPLY] reserved [PERIOD]
mysterious [AND] scared [IMPLY] foolish [PERIOD]
average [IMPLY] tame [PERIOD]
condemned [IMPLY] gorgeous [PERIOD]
stubborn [AND] reserved [AND] strange [IMPLY] scared [PERIOD]
stubborn [IMPLY] reserved [PERIOD]
clean [AND] clumsy [IMPLY] old-fashioned [PERIOD]
selfish [IMPLY] clean [PERIOD]
gorgeous [IMPLY] old-fashioned [PERIOD]
pessimistic [AND] hilarious [AND] charming [IMPLY] mysterious [PERIOD]
different [IMPLY] strange [PERIOD]
strange [AND] gorgeous [AND] tame [IMPLY] attractive [PERIOD]
anxious [AND] selfish [IMPLY] gorgeous [PERIOD]
selfish [AND] serious [IMPLY] average [PERIOD]
plain [IMPLY] hilarious [PERIOD]
gorgeous [AND] plain [IMPLY] clumsy [PERIOD]
ugly [AND] clean [AND] attractive [IMPLY] serious [PERIOD]
average [IMPLY] attractive [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   reserved ∧ scared ∧ stubborn ⇒ different
   different ⇒ strange
   scared ⇒ average
   average ⇒ attractive
   strange ∧ condemned ∧ attractive ⇒ hilarious
   gorgeous ∧ tame ⇒ serious
   hilarious ∧ scared ∧ serious ⇒ mysterious
",1,7
"Facts:  Alice is courageous [PERIOD] Alice is messy [PERIOD] Alice is selfish [PERIOD] Alice is helpful [PERIOD] Alice is bossy [PERIOD] Alice is quaint [PERIOD]
Rules:
beautiful [AND] hypocritical [IMPLY] homely [PERIOD]
average [AND] messy [IMPLY] hypocritical [PERIOD]
smart [IMPLY] busy [PERIOD]
hypocritical [AND] enchanting [IMPLY] lonely [PERIOD]
hypocritical [IMPLY] calm [PERIOD]
average [IMPLY] hypocritical [PERIOD]
hurt [AND] calm [IMPLY] helpful [PERIOD]
quaint [AND] selfish [AND] beautiful [IMPLY] lonely [PERIOD]
homely [AND] beautiful [IMPLY] calm [PERIOD]
hypocritical [AND] beautiful [IMPLY] average [PERIOD]
calm [AND] busy [IMPLY] enchanting [PERIOD]
enchanting [AND] bossy [AND] smart [IMPLY] messy [PERIOD]
busy [AND] tidy [AND] beautiful [IMPLY] helpful [PERIOD]
messy [IMPLY] bossy [PERIOD]
aggressive [IMPLY] bossy [PERIOD]
frightened [AND] confused [IMPLY] stubborn [PERIOD]
beautiful [AND] hypocritical [IMPLY] enchanting [PERIOD]
tidy [AND] quaint [IMPLY] smart [PERIOD]
stubborn [AND] hypocritical [AND] homely [IMPLY] hurt [PERIOD]
busy [AND] quaint [AND] hurt [IMPLY] smart [PERIOD]
tidy [AND] frightened [IMPLY] hypocritical [PERIOD]
courageous [IMPLY] helpful [PERIOD]
beautiful [IMPLY] homely [PERIOD]
frightened [IMPLY] hurt [PERIOD]
hurt [AND] homely [AND] hypocritical [IMPLY] stubborn [PERIOD]
enchanting [IMPLY] quaint [PERIOD]
lonely [IMPLY] average [PERIOD]
helpful [IMPLY] average [PERIOD]
average [IMPLY] lonely [PERIOD]
bossy [IMPLY] homely [PERIOD]
courageous [IMPLY] quaint [PERIOD]
smart [AND] aggressive [IMPLY] stubborn [PERIOD]
smart [AND] helpful [IMPLY] lonely [PERIOD]
tidy [AND] helpful [IMPLY] beautiful [PERIOD]
frightened [AND] beautiful [IMPLY] tidy [PERIOD]
quaint [IMPLY] hurt [PERIOD]
courageous [IMPLY] enchanting [PERIOD]
busy [IMPLY] stubborn [PERIOD]
messy [AND] bossy [IMPLY] aggressive [PERIOD]
messy [AND] bossy [IMPLY] frightened [PERIOD]
courageous [IMPLY] calm [PERIOD]
quaint [AND] aggressive [IMPLY] hypocritical [PERIOD]
frightened [AND] aggressive [AND] smart [IMPLY] calm [PERIOD]
homely [AND] frightened [AND] confused [IMPLY] selfish [PERIOD]
homely [IMPLY] enchanting [PERIOD]
hypocritical [IMPLY] frightened [PERIOD]
stubborn [AND] smart [IMPLY] courageous [PERIOD]
calm [AND] enchanting [IMPLY] confused [PERIOD]
average [IMPLY] homely [PERIOD]
courageous [AND] smart [IMPLY] helpful [PERIOD]
enchanting [AND] quaint [AND] homely [IMPLY] messy [PERIOD]
hurt [AND] smart [AND] frightened [IMPLY] stubborn [PERIOD]
aggressive [IMPLY] tidy [PERIOD]
hurt [AND] selfish [IMPLY] homely [PERIOD]
enchanting [IMPLY] confused [PERIOD]
frightened [AND] aggressive [IMPLY] enchanting [PERIOD]
quaint [IMPLY] frightened [PERIOD]
selfish [IMPLY] messy [PERIOD]
hurt [AND] bossy [IMPLY] frightened [PERIOD]
frightened [AND] confused [IMPLY] homely [PERIOD]
bossy [AND] confused [IMPLY] hurt [PERIOD]
smart [AND] average [AND] enchanting [IMPLY] messy [PERIOD]
selfish [IMPLY] frightened [PERIOD]
confused [AND] tidy [AND] frightened [IMPLY] hurt [PERIOD]
aggressive [IMPLY] quaint [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
   helpful ⇒ average
   average ⇒ lonely
",1,2
"Facts:  Alice is silly [PERIOD] Alice is strange [PERIOD] Alice is gifted [PERIOD] Alice is joyous [PERIOD] Alice is careless [PERIOD] Alice is anxious [PERIOD] Alice is helpful [PERIOD]
Rules:
anxious [AND] sensible [IMPLY] joyous [PERIOD]
strange [AND] witty [AND] sensible [IMPLY] gifted [PERIOD]
aggressive [IMPLY] gifted [PERIOD]
spotless [IMPLY] helpful [PERIOD]
average [AND] joyous [IMPLY] vivacious [PERIOD]
troubled [AND] difficult [IMPLY] strange [PERIOD]
aggressive [IMPLY] average [PERIOD]
outrageous [AND] dull [IMPLY] anxious [PERIOD]
joyous [IMPLY] selfish [PERIOD]
witty [AND] helpful [AND] strange [IMPLY] troubled [PERIOD]
straightforward [AND] vivacious [IMPLY] cooperative [PERIOD]
homely [AND] careless [IMPLY] selfish [PERIOD]
average [AND] troubled [IMPLY] aggressive [PERIOD]
aggressive [AND] gifted [AND] helpful [IMPLY] difficult [PERIOD]
average [IMPLY] straightforward [PERIOD]
thoughtful [IMPLY] helpful [PERIOD]
anxious [AND] messy [AND] aggressive [IMPLY] talkative [PERIOD]
silly [IMPLY] difficult [PERIOD]
troubled [AND] dull [IMPLY] outrageous [PERIOD]
vivacious [AND] troubled [IMPLY] gifted [PERIOD]
adorable [AND] spotless [AND] dull [IMPLY] sensible [PERIOD]
adorable [IMPLY] joyous [PERIOD]
average [AND] troubled [IMPLY] gifted [PERIOD]
gifted [AND] messy [AND] talkative [IMPLY] straightforward [PERIOD]
outrageous [IMPLY] strange [PERIOD]
difficult [IMPLY] dull [PERIOD]
silly [AND] spotless [IMPLY] anxious [PERIOD]
outrageous [AND] thoughtful [IMPLY] adorable [PERIOD]
spotless [AND] thoughtful [AND] gifted [IMPLY] aggressive [PERIOD]
outrageous [IMPLY] joyous [PERIOD]
aggressive [AND] straightforward [IMPLY] difficult [PERIOD]
silly [IMPLY] talkative [PERIOD]
outrageous [AND] troubled [AND] dull [IMPLY] straightforward [PERIOD]
thoughtful [AND] gifted [AND] joyous [IMPLY] strange [PERIOD]
sensible [IMPLY] anxious [PERIOD]
witty [AND] adorable [AND] dull [IMPLY] outrageous [PERIOD]
gifted [IMPLY] thoughtful [PERIOD]
witty [AND] strange [AND] adorable [IMPLY] spotless [PERIOD]
vivacious [AND] homely [AND] joyous [IMPLY] strange [PERIOD]
average [AND] adorable [IMPLY] silly [PERIOD]
cooperative [AND] selfish [AND] thoughtful [IMPLY] average [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   silly ⇒ difficult
   difficult ⇒ dull
   Cannot apply rule “adorable ∧ spotless ∧ dull ⇒ sensible” because missing: adorable, spotless.
",0,3
"Facts:  Alice is alert [PERIOD] Alice is wandering [PERIOD] Alice is helpful [PERIOD] Alice is condemned [PERIOD] Alice is sincere [PERIOD] Alice is tired [PERIOD] Alice is jittery [PERIOD] Alice is crowded [PERIOD] Alice is grumpy [PERIOD] Alice is cruel [PERIOD] Alice is hilarious [PERIOD] Alice is dishonest [PERIOD] Alice is confused [PERIOD]
Rules:
fragile [AND] jittery [AND] thoughtful [IMPLY] fancy [PERIOD]
reserved [IMPLY] busy [PERIOD]
scared [IMPLY] jittery [PERIOD]
grumpy [IMPLY] alert [PERIOD]
busy [AND] hilarious [AND] sincere [IMPLY] loving [PERIOD]
tired [AND] fancy [IMPLY] dishonest [PERIOD]
average [AND] fragile [AND] crowded [IMPLY] clean [PERIOD]
attractive [AND] reserved [IMPLY] smart [PERIOD]
alert [IMPLY] helpful [PERIOD]
scared [AND] fragile [IMPLY] fancy [PERIOD]
alert [AND] loving [IMPLY] helpful [PERIOD]
confused [AND] alert [IMPLY] scared [PERIOD]
condemned [IMPLY] distinct [PERIOD]
loving [IMPLY] shy [PERIOD]
grumpy [IMPLY] shy [PERIOD]
condemned [AND] loving [AND] thoughtful [IMPLY] cruel [PERIOD]
dishonest [AND] shy [IMPLY] crowded [PERIOD]
outrageous [AND] shy [AND] thoughtful [IMPLY] reserved [PERIOD]
old-fashioned [IMPLY] loving [PERIOD]
outrageous [IMPLY] loving [PERIOD]
tired [AND] confused [IMPLY] loving [PERIOD]
dishonest [AND] attractive [IMPLY] distinct [PERIOD]
wandering [IMPLY] outrageous [PERIOD]
helpful [IMPLY] cruel [PERIOD]
smart [IMPLY] frightened [PERIOD]
old-fashioned [IMPLY] outrageous [PERIOD]
loving [AND] clean [AND] average [IMPLY] wandering [PERIOD]
condemned [AND] thoughtful [AND] confused [IMPLY] alert [PERIOD]
reserved [AND] fragile [IMPLY] sincere [PERIOD]
outrageous [AND] busy [IMPLY] cruel [PERIOD]
tired [AND] gleaming [IMPLY] reserved [PERIOD]
smart [IMPLY] confused [PERIOD]
alert [AND] busy [AND] distinct [IMPLY] gleaming [PERIOD]
fragile [AND] distinct [IMPLY] old-fashioned [PERIOD]
fancy [IMPLY] frightened [PERIOD]
grumpy [AND] fancy [AND] cruel [IMPLY] sincere [PERIOD]
confused [AND] loving [IMPLY] helpful [PERIOD]
grumpy [IMPLY] frightened [PERIOD]
shy [IMPLY] crowded [PERIOD]
confused [AND] old-fashioned [IMPLY] condemned [PERIOD]
distinct [AND] busy [IMPLY] clean [PERIOD]
fragile [IMPLY] cruel [PERIOD]
gleaming [AND] fragile [AND] tired [IMPLY] hilarious [PERIOD]
busy [AND] tired [AND] wandering [IMPLY] condemned [PERIOD]
average [AND] jittery [AND] wandering [IMPLY] confused [PERIOD]
cruel [AND] jittery [AND] fancy [IMPLY] average [PERIOD]
dishonest [AND] average [AND] confused [IMPLY] sincere [PERIOD]
distinct [IMPLY] outrageous [PERIOD]
sincere [AND] condemned [AND] shy [IMPLY] old-fashioned [PERIOD]
grumpy [AND] condemned [IMPLY] crowded [PERIOD]
confused [AND] hilarious [IMPLY] shy [PERIOD]
old-fashioned [IMPLY] fancy [PERIOD]
dishonest [AND] old-fashioned [AND] thoughtful [IMPLY] helpful [PERIOD]
clean [AND] frightened [IMPLY] crowded [PERIOD]
wandering [AND] smart [AND] sincere [IMPLY] shy [PERIOD]
frightened [IMPLY] helpful [PERIOD]
distinct [AND] busy [AND] alert [IMPLY] smart [PERIOD]
grumpy [IMPLY] tired [PERIOD]
crowded [AND] sincere [AND] reserved [IMPLY] shy [PERIOD]
cruel [AND] average [IMPLY] wandering [PERIOD]
busy [AND] gleaming [IMPLY] dishonest [PERIOD]
tired [AND] reserved [AND] average [IMPLY] hilarious [PERIOD]
alert [IMPLY] attractive [PERIOD]
fancy [AND] jittery [IMPLY] alert [PERIOD]
fragile [AND] cruel [AND] reserved [IMPLY] outrageous [PERIOD]
jittery [IMPLY] sincere [PERIOD]
grumpy [AND] frightened [AND] fragile [IMPLY] smart [PERIOD]
alert [AND] loving [AND] condemned [IMPLY] wandering [PERIOD]
outrageous [AND] scared [AND] gleaming [IMPLY] fancy [PERIOD]
jittery [AND] scared [AND] wandering [IMPLY] clean [PERIOD]
fancy [AND] distinct [AND] crowded [IMPLY] hilarious [PERIOD]
distinct [AND] sincere [AND] fragile [IMPLY] condemned [PERIOD]
confused [AND] reserved [IMPLY] tired [PERIOD]
sincere [AND] condemned [AND] average [IMPLY] old-fashioned [PERIOD]
busy [AND] fragile [IMPLY] alert [PERIOD]
sincere [IMPLY] gleaming [PERIOD]
cruel [AND] wandering [IMPLY] outrageous [PERIOD]
thoughtful [AND] attractive [IMPLY] dishonest [PERIOD]
condemned [IMPLY] busy [PERIOD]
tired [IMPLY] hilarious [PERIOD]
shy [AND] fancy [IMPLY] alert [PERIOD]
alert [AND] frightened [IMPLY] grumpy [PERIOD]
gleaming [IMPLY] grumpy [PERIOD]
sincere [IMPLY] cruel [PERIOD]
reserved [AND] fragile [IMPLY] attractive [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is rude [PERIOD] Alice is quaint [PERIOD] Alice is uptight [PERIOD] Alice is polite [PERIOD] Alice is shiny [PERIOD] Alice is adorable [PERIOD] Alice is crowded [PERIOD] Alice is blushing [PERIOD] Alice is thoughtful [PERIOD] Alice is excited [PERIOD] Alice is zealous [PERIOD] Alice is rational [PERIOD] Alice is elated [PERIOD] Alice is attractive [PERIOD] Alice is tender [PERIOD] Alice is impatient [PERIOD] Alice is combative [PERIOD] Alice is careless [PERIOD] Alice is fine [PERIOD] Alice is mysterious [PERIOD] Alice is troubled [PERIOD] Alice is helpful [PERIOD] Alice is weary [PERIOD]
Rules:
uptight [AND] adorable [IMPLY] zealous [PERIOD]
troubled [AND] helpful [AND] excited [IMPLY] weary [PERIOD]
rational [AND] adorable [IMPLY] blushing [PERIOD]
tender [IMPLY] troubled [PERIOD]
mysterious [AND] rude [AND] impatient [IMPLY] helpful [PERIOD]
gorgeous [AND] fine [AND] shiny [IMPLY] zealous [PERIOD]
fine [AND] mysterious [IMPLY] adorable [PERIOD]
rude [IMPLY] beautiful [PERIOD]
tender [AND] fine [AND] rational [IMPLY] weary [PERIOD]
thoughtful [AND] beautiful [IMPLY] zealous [PERIOD]
thoughtful [AND] rational [IMPLY] beautiful [PERIOD]
troubled [IMPLY] mysterious [PERIOD]
polite [AND] uptight [AND] gorgeous [IMPLY] troubled [PERIOD]
tender [AND] helpful [IMPLY] attractive [PERIOD]
quaint [IMPLY] fine [PERIOD]
uptight [AND] combative [IMPLY] attractive [PERIOD]
zealous [AND] quaint [AND] thoughtful [IMPLY] crowded [PERIOD]
careless [AND] blushing [AND] excited [IMPLY] polite [PERIOD]
attractive [AND] mysterious [AND] troubled [IMPLY] combative [PERIOD]
careless [AND] shiny [AND] uptight [IMPLY] excited [PERIOD]
weary [AND] polite [IMPLY] gorgeous [PERIOD]
tender [AND] blushing [IMPLY] fine [PERIOD]
combative [AND] excited [AND] beautiful [IMPLY] mysterious [PERIOD]
gorgeous [AND] blushing [AND] polite [IMPLY] impatient [PERIOD]
troubled [IMPLY] impatient [PERIOD]
quaint [IMPLY] excited [PERIOD]
mysterious [AND] rude [IMPLY] elated [PERIOD]
helpful [AND] adorable [IMPLY] impatient [PERIOD]
quaint [AND] adorable [IMPLY] rude [PERIOD]
careless [AND] mysterious [IMPLY] adorable [PERIOD]
troubled [IMPLY] tender [PERIOD]
crowded [IMPLY] quaint [PERIOD]
thoughtful [AND] gorgeous [AND] weary [IMPLY] mysterious [PERIOD]
helpful [AND] impatient [IMPLY] troubled [PERIOD]
gorgeous [IMPLY] rational [PERIOD]
elated [AND] attractive [AND] rational [IMPLY] crowded [PERIOD]
polite [IMPLY] tender [PERIOD]
attractive [AND] combative [AND] crowded [IMPLY] careless [PERIOD]
zealous [AND] quaint [IMPLY] careless [PERIOD]
weary [AND] mysterious [IMPLY] helpful [PERIOD]
crowded [IMPLY] weary [PERIOD]
blushing [AND] quaint [AND] uptight [IMPLY] shiny [PERIOD]
elated [IMPLY] excited [PERIOD]
fine [AND] weary [AND] combative [IMPLY] troubled [PERIOD]
helpful [IMPLY] gorgeous [PERIOD]
crowded [IMPLY] careless [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is talkative [PERIOD] Alice is attentive [PERIOD] Alice is embarrassed [PERIOD] Alice is reserved [PERIOD] Alice is enchanting [PERIOD]
Rules:
elegant [IMPLY] diplomatic [PERIOD]
enchanting [AND] vivacious [IMPLY] embarrassed [PERIOD]
sincere [IMPLY] elegant [PERIOD]
shiny [IMPLY] talkative [PERIOD]
talkative [AND] weary [IMPLY] talented [PERIOD]
shiny [IMPLY] diplomatic [PERIOD]
lonely [AND] embarrassed [AND] reserved [IMPLY] enchanting [PERIOD]
weary [AND] vivacious [IMPLY] reserved [PERIOD]
shiny [IMPLY] confident [PERIOD]
talented [AND] diplomatic [AND] elegant [IMPLY] alert [PERIOD]
sincere [AND] elegant [AND] lonely [IMPLY] attentive [PERIOD]
reserved [IMPLY] supportive [PERIOD]
attentive [IMPLY] reserved [PERIOD]
shiny [AND] attentive [AND] supportive [IMPLY] enchanting [PERIOD]
lonely [AND] calm [IMPLY] sincere [PERIOD]
weary [AND] attentive [IMPLY] alert [PERIOD]
calm [AND] attentive [IMPLY] confident [PERIOD]
calm [AND] alert [AND] sincere [IMPLY] shiny [PERIOD]
supportive [AND] alert [IMPLY] diplomatic [PERIOD]
diplomatic [AND] weary [AND] embarrassed [IMPLY] vivacious [PERIOD]
enchanting [AND] vivacious [AND] lonely [IMPLY] supportive [PERIOD]
embarrassed [AND] alert [IMPLY] weary [PERIOD]
talkative [AND] attentive [IMPLY] talented [PERIOD]
supportive [AND] lonely [IMPLY] attentive [PERIOD]
talented [IMPLY] supportive [PERIOD]
diplomatic [IMPLY] alert [PERIOD]
attentive [IMPLY] elegant [PERIOD]
elegant [AND] reserved [AND] shiny [IMPLY] alert [PERIOD]
calm [AND] enchanting [AND] alert [IMPLY] vivacious [PERIOD]
elegant [AND] talkative [IMPLY] talented [PERIOD]
weary [AND] attentive [AND] enchanting [IMPLY] talented [PERIOD]
calm [AND] attentive [IMPLY] vivacious [PERIOD]
reserved [IMPLY] sincere [PERIOD]
calm [AND] lonely [AND] diplomatic [IMPLY] talkative [PERIOD]
diplomatic [AND] confident [AND] shiny [IMPLY] calm [PERIOD]
weary [AND] talented [AND] calm [IMPLY] attentive [PERIOD]
calm [IMPLY] shiny [PERIOD]
alert [AND] supportive [IMPLY] calm [PERIOD]
attentive [AND] calm [AND] enchanting [IMPLY] elegant [PERIOD]
enchanting [IMPLY] talented [PERIOD]
talented [AND] elegant [IMPLY] embarrassed [PERIOD]
confident [IMPLY] weary [PERIOD]
vivacious [AND] embarrassed [AND] reserved [IMPLY] talented [PERIOD]
calm [IMPLY] embarrassed [PERIOD]
reserved [AND] attentive [AND] vivacious [IMPLY] elegant [PERIOD]
elegant [AND] sincere [AND] vivacious [IMPLY] calm [PERIOD]
calm [IMPLY] supportive [PERIOD]
sincere [AND] shiny [AND] attentive [IMPLY] talented [PERIOD]
talented [IMPLY] lonely [PERIOD]
talented [AND] elegant [AND] supportive [IMPLY] diplomatic [PERIOD]
alert [AND] sincere [IMPLY] confident [PERIOD]
shiny [IMPLY] embarrassed [PERIOD]
attentive [AND] alert [AND] shiny [IMPLY] diplomatic [PERIOD]
embarrassed [AND] elegant [AND] reserved [IMPLY] sincere [PERIOD]
diplomatic [AND] calm [IMPLY] lonely [PERIOD]
vivacious [AND] embarrassed [IMPLY] reserved [PERIOD]
shiny [AND] weary [IMPLY] diplomatic [PERIOD]
lonely [AND] vivacious [IMPLY] confident [PERIOD]
reserved [AND] embarrassed [IMPLY] talented [PERIOD]
diplomatic [AND] confident [AND] attentive [IMPLY] enchanting [PERIOD]
enchanting [AND] alert [AND] embarrassed [IMPLY] sincere [PERIOD]
reserved [AND] confident [AND] alert [IMPLY] elegant [PERIOD]
enchanting [AND] calm [AND] alert [IMPLY] attentive [PERIOD]
calm [IMPLY] confident [PERIOD]
vivacious [AND] attentive [AND] enchanting [IMPLY] diplomatic [PERIOD]
diplomatic [AND] vivacious [AND] elegant [IMPLY] attentive [PERIOD]
lonely [IMPLY] diplomatic [PERIOD]
diplomatic [AND] lonely [IMPLY] reserved [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   enchanting ⇒ talented
   attentive ⇒ elegant
   elegant ⇒ diplomatic
   attentive ⇒ elegant
   talented ∧ diplomatic ∧ elegant ⇒ alert
",1,5
"Facts:  Alice is impartial [PERIOD] Alice is powerful [PERIOD] Alice is careless [PERIOD] Alice is grumpy [PERIOD] Alice is good [PERIOD] Alice is helpful [PERIOD]
Rules:
sincere [AND] gorgeous [AND] victorious [IMPLY] careless [PERIOD]
gorgeous [AND] sincere [AND] broad-minded [IMPLY] modern [PERIOD]
tender [AND] victorious [IMPLY] broad-minded [PERIOD]
modern [AND] victorious [AND] gorgeous [IMPLY] careless [PERIOD]
quaint [AND] impartial [IMPLY] victorious [PERIOD]
broad-minded [AND] modern [AND] powerful [IMPLY] ugliest [PERIOD]
gifted [AND] gorgeous [IMPLY] tender [PERIOD]
tender [IMPLY] good [PERIOD]
ugliest [AND] excited [IMPLY] careless [PERIOD]
broad-minded [AND] impartial [AND] victorious [IMPLY] tender [PERIOD]
good [IMPLY] mysterious [PERIOD]
gifted [IMPLY] victorious [PERIOD]
victorious [AND] excited [IMPLY] careless [PERIOD]
ugliest [AND] broad-minded [IMPLY] gorgeous [PERIOD]
cooperative [AND] good [IMPLY] tender [PERIOD]
victorious [AND] ugliest [AND] powerful [IMPLY] cooperative [PERIOD]
powerful [IMPLY] ugliest [PERIOD]
tender [AND] good [AND] excited [IMPLY] cute [PERIOD]
quaint [AND] mysterious [AND] cute [IMPLY] careless [PERIOD]
grumpy [AND] excited [IMPLY] helpful [PERIOD]
victorious [AND] modern [AND] impartial [IMPLY] mysterious [PERIOD]
spotless [IMPLY] tender [PERIOD]
spotless [AND] helpful [AND] cute [IMPLY] grumpy [PERIOD]
cooperative [AND] powerful [IMPLY] good [PERIOD]
gorgeous [AND] spotless [AND] impartial [IMPLY] excited [PERIOD]
grumpy [AND] quaint [IMPLY] impartial [PERIOD]
sincere [AND] ambitious [IMPLY] helpful [PERIOD]
gifted [IMPLY] sincere [PERIOD]
quaint [IMPLY] helpful [PERIOD]
helpful [IMPLY] careless [PERIOD]
gifted [IMPLY] good [PERIOD]
careless [AND] impartial [IMPLY] gorgeous [PERIOD]
gifted [AND] ugliest [AND] mysterious [IMPLY] victorious [PERIOD]
ugliest [IMPLY] helpful [PERIOD]
mysterious [AND] spotless [IMPLY] grumpy [PERIOD]
impartial [AND] ambitious [IMPLY] broad-minded [PERIOD]
impartial [IMPLY] broad-minded [PERIOD]
tender [AND] spotless [AND] helpful [IMPLY] modern [PERIOD]
tender [AND] impartial [IMPLY] cooperative [PERIOD]
cooperative [AND] cute [AND] good [IMPLY] mysterious [PERIOD]
gorgeous [AND] tender [AND] modern [IMPLY] sincere [PERIOD]
broad-minded [AND] excited [AND] quaint [IMPLY] modern [PERIOD]
spotless [AND] powerful [IMPLY] gifted [PERIOD]
ugliest [AND] excited [AND] cooperative [IMPLY] powerful [PERIOD]
mysterious [AND] cute [IMPLY] gorgeous [PERIOD]
broad-minded [IMPLY] good [PERIOD]
sincere [AND] mysterious [IMPLY] tender [PERIOD]
ugliest [IMPLY] gifted [PERIOD]
ugliest [IMPLY] quaint [PERIOD]
good [AND] gifted [AND] cute [IMPLY] careless [PERIOD]
sincere [AND] spotless [AND] gifted [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] gorgeous [PERIOD]
excited [AND] modern [IMPLY] victorious [PERIOD]
impartial [IMPLY] ugliest [PERIOD]
sincere [IMPLY] spotless [PERIOD]
impartial [IMPLY] modern [PERIOD]
excited [AND] broad-minded [IMPLY] helpful [PERIOD]
quaint [AND] helpful [IMPLY] impartial [PERIOD]
ugliest [IMPLY] ambitious [PERIOD]
Query: Alice is modern [PERIOD]","Proof chain:
   impartial ⇒ modern
",1,1
"Facts: 
Rules:
famous [AND] shiny [IMPLY] anxious [PERIOD]
famous [AND] elegant [AND] shiny [IMPLY] anxious [PERIOD]
famous [IMPLY] anxious [PERIOD]
shiny [AND] anxious [IMPLY] elegant [PERIOD]
anxious [AND] shiny [AND] elegant [IMPLY] famous [PERIOD]
rude [AND] anxious [IMPLY] elegant [PERIOD]
elegant [AND] anxious [AND] shiny [IMPLY] rude [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   Cannot apply rule “famous ∧ shiny ⇒ anxious” because missing: famous, shiny.
   Cannot apply rule “famous ∧ elegant ∧ shiny ⇒ anxious” because missing: famous, elegant, shiny.
   Cannot apply rule “famous ⇒ anxious” because missing: famous.
",0,3
"Facts:  Alice is thoughtful [PERIOD] Alice is distinct [PERIOD] Alice is lucky [PERIOD] Alice is tidy [PERIOD] Alice is sensible [PERIOD] Alice is cute [PERIOD]
Rules:
sensible [AND] rational [AND] thoughtful [IMPLY] lucky [PERIOD]
cute [IMPLY] rational [PERIOD]
lucky [AND] thoughtful [IMPLY] tidy [PERIOD]
stubborn [IMPLY] rational [PERIOD]
lucky [IMPLY] thoughtful [PERIOD]
straightforward [IMPLY] lucky [PERIOD]
straightforward [AND] stubborn [AND] thoughtful [IMPLY] rational [PERIOD]
sensible [AND] tidy [IMPLY] cute [PERIOD]
sensible [AND] straightforward [AND] distinct [IMPLY] cute [PERIOD]
tidy [IMPLY] stubborn [PERIOD]
stubborn [AND] tidy [IMPLY] cute [PERIOD]
sensible [AND] distinct [IMPLY] stubborn [PERIOD]
straightforward [IMPLY] stubborn [PERIOD]
thoughtful [IMPLY] sensible [PERIOD]
sensible [AND] cute [AND] rational [IMPLY] thoughtful [PERIOD]
tidy [AND] stubborn [AND] straightforward [IMPLY] sensible [PERIOD]
lucky [AND] sensible [IMPLY] stubborn [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is hypocritical [PERIOD]
Rules:
easy [AND] gorgeous [AND] helpless [IMPLY] stubborn [PERIOD]
attentive [AND] popular [AND] hypocritical [IMPLY] messy [PERIOD]
ugliest [IMPLY] outrageous [PERIOD]
hypocritical [AND] nervous [AND] attentive [IMPLY] ugliest [PERIOD]
gorgeous [AND] attentive [AND] versatile [IMPLY] helpless [PERIOD]
popular [AND] outrageous [IMPLY] gorgeous [PERIOD]
popular [AND] gorgeous [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] outrageous [PERIOD]
easy [AND] nervous [IMPLY] gorgeous [PERIOD]
hypocritical [AND] popular [IMPLY] helpless [PERIOD]
easy [AND] nervous [IMPLY] outrageous [PERIOD]
messy [AND] popular [IMPLY] hypocritical [PERIOD]
nervous [AND] messy [IMPLY] hypocritical [PERIOD]
impatient [IMPLY] hypocritical [PERIOD]
impatient [AND] ugliest [AND] versatile [IMPLY] helpless [PERIOD]
easy [AND] hypocritical [AND] versatile [IMPLY] nervous [PERIOD]
stubborn [AND] helpless [AND] impatient [IMPLY] attentive [PERIOD]
nervous [AND] stubborn [IMPLY] hypocritical [PERIOD]
versatile [AND] ugliest [AND] helpless [IMPLY] gorgeous [PERIOD]
stubborn [IMPLY] easy [PERIOD]
outrageous [AND] versatile [IMPLY] ugliest [PERIOD]
outrageous [AND] messy [IMPLY] helpless [PERIOD]
helpless [AND] outrageous [AND] ugliest [IMPLY] gorgeous [PERIOD]
versatile [AND] messy [AND] stubborn [IMPLY] popular [PERIOD]
impatient [AND] ugliest [AND] attentive [IMPLY] easy [PERIOD]
hypocritical [IMPLY] impatient [PERIOD]
stubborn [AND] gorgeous [IMPLY] helpless [PERIOD]
gorgeous [IMPLY] nervous [PERIOD]
easy [AND] outrageous [AND] hypocritical [IMPLY] stubborn [PERIOD]
impatient [AND] easy [IMPLY] nervous [PERIOD]
gorgeous [AND] attentive [IMPLY] ugliest [PERIOD]
hypocritical [IMPLY] helpless [PERIOD]
attentive [IMPLY] versatile [PERIOD]
stubborn [IMPLY] attentive [PERIOD]
versatile [AND] gorgeous [IMPLY] hypocritical [PERIOD]
attentive [IMPLY] stubborn [PERIOD]
ugliest [AND] helpless [AND] nervous [IMPLY] outrageous [PERIOD]
attentive [AND] popular [AND] gorgeous [IMPLY] nervous [PERIOD]
outrageous [AND] gorgeous [AND] helpless [IMPLY] stubborn [PERIOD]
attentive [IMPLY] nervous [PERIOD]
popular [IMPLY] stubborn [PERIOD]
stubborn [AND] messy [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] versatile [PERIOD]
versatile [AND] easy [AND] attentive [IMPLY] outrageous [PERIOD]
messy [AND] versatile [AND] easy [IMPLY] impatient [PERIOD]
hypocritical [AND] stubborn [IMPLY] nervous [PERIOD]
messy [AND] easy [AND] outrageous [IMPLY] hypocritical [PERIOD]
helpless [IMPLY] stubborn [PERIOD]
hypocritical [IMPLY] stubborn [PERIOD]
impatient [IMPLY] outrageous [PERIOD]
attentive [AND] nervous [IMPLY] gorgeous [PERIOD]
gorgeous [AND] ugliest [AND] outrageous [IMPLY] impatient [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   hypocritical ⇒ stubborn
   hypocritical ⇒ helpless
   hypocritical ⇒ impatient
   stubborn ∧ helpless ∧ impatient ⇒ attentive
",1,4
"Facts:  Alice is joyous [PERIOD]
Rules:
embarrassed [IMPLY] courageous [PERIOD]
careless [IMPLY] fine [PERIOD]
light [AND] thoughtful [IMPLY] enchanting [PERIOD]
careless [IMPLY] joyous [PERIOD]
worried [IMPLY] fine [PERIOD]
strange [AND] enchanting [IMPLY] combative [PERIOD]
courageous [AND] thoughtful [AND] fine [IMPLY] joyous [PERIOD]
outrageous [AND] tense [IMPLY] strange [PERIOD]
combative [IMPLY] courageous [PERIOD]
careless [AND] combative [AND] embarrassed [IMPLY] confused [PERIOD]
combative [AND] messy [AND] light [IMPLY] tense [PERIOD]
strange [IMPLY] courageous [PERIOD]
foolish [IMPLY] outrageous [PERIOD]
courageous [AND] gleaming [AND] fine [IMPLY] tense [PERIOD]
combative [AND] outrageous [IMPLY] embarrassed [PERIOD]
crowded [IMPLY] thoughtful [PERIOD]
confused [AND] pessimistic [AND] combative [IMPLY] crowded [PERIOD]
confused [AND] proud [AND] joyous [IMPLY] popular [PERIOD]
tense [AND] combative [IMPLY] crowded [PERIOD]
tense [AND] messy [AND] joyous [IMPLY] fine [PERIOD]
foolish [AND] gleaming [IMPLY] joyous [PERIOD]
embarrassed [AND] enchanting [AND] pessimistic [IMPLY] crowded [PERIOD]
thoughtful [AND] crowded [AND] pessimistic [IMPLY] strange [PERIOD]
courageous [AND] gleaming [AND] foolish [IMPLY] strange [PERIOD]
proud [IMPLY] fine [PERIOD]
crowded [AND] proud [AND] joyous [IMPLY] strange [PERIOD]
gleaming [IMPLY] light [PERIOD]
bossy [AND] thoughtful [IMPLY] careless [PERIOD]
courageous [IMPLY] combative [PERIOD]
proud [AND] confused [AND] thoughtful [IMPLY] embarrassed [PERIOD]
fine [IMPLY] crowded [PERIOD]
bossy [AND] light [AND] joyous [IMPLY] careless [PERIOD]
foolish [AND] messy [IMPLY] pessimistic [PERIOD]
bossy [AND] careless [IMPLY] gleaming [PERIOD]
popular [AND] embarrassed [AND] courageous [IMPLY] worried [PERIOD]
courageous [IMPLY] fine [PERIOD]
enchanting [AND] bossy [IMPLY] crowded [PERIOD]
worried [AND] popular [AND] thoughtful [IMPLY] joyous [PERIOD]
popular [AND] strange [IMPLY] pessimistic [PERIOD]
outrageous [AND] combative [IMPLY] fine [PERIOD]
popular [IMPLY] messy [PERIOD]
careless [AND] embarrassed [AND] light [IMPLY] courageous [PERIOD]
bossy [AND] proud [AND] fine [IMPLY] thoughtful [PERIOD]
joyous [IMPLY] enchanting [PERIOD]
crowded [IMPLY] light [PERIOD]
popular [AND] pessimistic [AND] thoughtful [IMPLY] courageous [PERIOD]
proud [AND] joyous [AND] tense [IMPLY] thoughtful [PERIOD]
worried [AND] proud [IMPLY] light [PERIOD]
gleaming [AND] pessimistic [IMPLY] fine [PERIOD]
proud [AND] pessimistic [IMPLY] outrageous [PERIOD]
pessimistic [AND] bossy [AND] tense [IMPLY] careless [PERIOD]
worried [AND] messy [IMPLY] gleaming [PERIOD]
embarrassed [AND] confused [IMPLY] careless [PERIOD]
light [AND] outrageous [IMPLY] tense [PERIOD]
messy [AND] confused [AND] joyous [IMPLY] proud [PERIOD]
thoughtful [AND] bossy [IMPLY] embarrassed [PERIOD]
careless [AND] fine [IMPLY] enchanting [PERIOD]
foolish [IMPLY] fine [PERIOD]
strange [IMPLY] joyous [PERIOD]
messy [IMPLY] gleaming [PERIOD]
foolish [AND] pessimistic [AND] tense [IMPLY] light [PERIOD]
gleaming [AND] enchanting [IMPLY] strange [PERIOD]
light [AND] fine [AND] pessimistic [IMPLY] strange [PERIOD]
thoughtful [AND] embarrassed [AND] strange [IMPLY] fine [PERIOD]
gleaming [AND] outrageous [AND] light [IMPLY] confused [PERIOD]
pessimistic [AND] foolish [AND] courageous [IMPLY] joyous [PERIOD]
gleaming [AND] fine [IMPLY] foolish [PERIOD]
combative [IMPLY] careless [PERIOD]
messy [AND] proud [IMPLY] popular [PERIOD]
foolish [IMPLY] proud [PERIOD]
joyous [AND] embarrassed [AND] worried [IMPLY] strange [PERIOD]
foolish [IMPLY] messy [PERIOD]
enchanting [AND] combative [IMPLY] careless [PERIOD]
strange [AND] light [IMPLY] foolish [PERIOD]
fine [AND] messy [IMPLY] joyous [PERIOD]
confused [AND] outrageous [AND] careless [IMPLY] gleaming [PERIOD]
outrageous [AND] foolish [AND] joyous [IMPLY] courageous [PERIOD]
popular [AND] combative [AND] careless [IMPLY] bossy [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   Cannot apply rule “bossy ∧ thoughtful ⇒ careless” because missing: bossy, thoughtful.
   Cannot apply rule “bossy ∧ light ∧ joyous ⇒ careless” because missing: bossy, light.
   Cannot apply rule “pessimistic ∧ bossy ∧ tense ⇒ careless” because missing: pessimistic, bossy, tense.
   Cannot apply rule “embarrassed ∧ confused ⇒ careless” because missing: embarrassed, confused.
   Cannot apply rule “combative ⇒ careless” because missing: combative.
   joyous ⇒ enchanting
   Cannot apply rule “enchanting ∧ combative ⇒ careless” because missing: combative.
",0,7
"Facts:  Alice is amused [PERIOD] Alice is anxious [PERIOD] Alice is ugly [PERIOD] Alice is bossy [PERIOD] Alice is messy [PERIOD] Alice is tired [PERIOD]
Rules:
tired [AND] amused [IMPLY] straightforward [PERIOD]
serious [IMPLY] amused [PERIOD]
embarrassed [AND] intellectual [IMPLY] amused [PERIOD]
zealous [AND] intellectual [IMPLY] amused [PERIOD]
busy [AND] serious [AND] amused [IMPLY] intellectual [PERIOD]
zealous [IMPLY] tired [PERIOD]
serious [AND] shy [AND] joyous [IMPLY] diplomatic [PERIOD]
curious [AND] amused [AND] embarrassed [IMPLY] zealous [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   No rule concludes “gorgeous.”
",0,1
"Facts:  Alice is hilarious [PERIOD]
Rules:
foolish [AND] homely [AND] elated [IMPLY] stormy [PERIOD]
unpleasant [AND] rude [IMPLY] stormy [PERIOD]
homely [IMPLY] bright [PERIOD]
stormy [AND] bright [IMPLY] hilarious [PERIOD]
unpleasant [IMPLY] bright [PERIOD]
busy [AND] rude [IMPLY] adorable [PERIOD]
bright [IMPLY] homely [PERIOD]
bright [AND] amused [IMPLY] adorable [PERIOD]
adorable [AND] rude [IMPLY] bright [PERIOD]
amused [IMPLY] bright [PERIOD]
amused [AND] stormy [AND] homely [IMPLY] unpleasant [PERIOD]
elated [AND] busy [AND] rude [IMPLY] stormy [PERIOD]
hilarious [AND] adorable [IMPLY] unpleasant [PERIOD]
adorable [IMPLY] attentive [PERIOD]
unpleasant [AND] homely [IMPLY] rude [PERIOD]
bright [AND] homely [IMPLY] elated [PERIOD]
bright [IMPLY] attentive [PERIOD]
stormy [IMPLY] busy [PERIOD]
hilarious [AND] stormy [AND] homely [IMPLY] busy [PERIOD]
busy [IMPLY] foolish [PERIOD]
homely [AND] unpleasant [IMPLY] elated [PERIOD]
homely [IMPLY] busy [PERIOD]
unpleasant [AND] rude [IMPLY] hilarious [PERIOD]
foolish [IMPLY] elated [PERIOD]
foolish [AND] bright [IMPLY] elated [PERIOD]
bright [AND] unpleasant [AND] adorable [IMPLY] foolish [PERIOD]
stormy [AND] unpleasant [IMPLY] bright [PERIOD]
unpleasant [IMPLY] rude [PERIOD]
bright [AND] busy [AND] attentive [IMPLY] rude [PERIOD]
busy [IMPLY] attentive [PERIOD]
busy [AND] elated [AND] stormy [IMPLY] unpleasant [PERIOD]
attentive [AND] elated [IMPLY] foolish [PERIOD]
adorable [IMPLY] homely [PERIOD]
stormy [AND] foolish [AND] amused [IMPLY] hilarious [PERIOD]
bright [AND] foolish [AND] elated [IMPLY] rude [PERIOD]
rude [IMPLY] stormy [PERIOD]
attentive [IMPLY] elated [PERIOD]
amused [AND] foolish [AND] adorable [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] foolish [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
   Cannot apply rule “unpleasant ∧ homely ⇒ rude” because missing: unpleasant, homely.
   Cannot apply rule “unpleasant ⇒ rude” because missing: unpleasant.
   Cannot apply rule “bright ∧ busy ∧ attentive ⇒ rude” because missing: bright, busy, attentive.
   hilarious ⇒ foolish
   hilarious ⇒ foolish
   foolish ⇒ elated
   Cannot apply rule “bright ∧ foolish ∧ elated ⇒ rude” because missing: bright.
",0,7
"Facts:  Alice is tired [PERIOD] Alice is talented [PERIOD] Alice is precious [PERIOD]
Rules:
tired [AND] talented [AND] cute [IMPLY] hurt [PERIOD]
talented [AND] tired [AND] popular [IMPLY] cute [PERIOD]
talented [AND] tired [IMPLY] precious [PERIOD]
precious [AND] tired [IMPLY] popular [PERIOD]
cute [AND] tired [AND] precious [IMPLY] talented [PERIOD]
hurt [AND] popular [IMPLY] talented [PERIOD]
hurt [AND] cute [IMPLY] talented [PERIOD]
tired [AND] talented [IMPLY] cute [PERIOD]
tired [AND] talented [IMPLY] hurt [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   tired ∧ talented ⇒ hurt
",1,1
"Facts:  Alice is difficult [PERIOD]
Rules:
difficult [AND] serious [AND] glamorous [IMPLY] vivacious [PERIOD]
attentive [AND] serious [AND] strange [IMPLY] vivacious [PERIOD]
tense [AND] strange [IMPLY] serious [PERIOD]
serious [AND] frantic [IMPLY] glamorous [PERIOD]
tense [AND] frantic [IMPLY] difficult [PERIOD]
serious [AND] strange [IMPLY] tense [PERIOD]
strange [AND] serious [IMPLY] attentive [PERIOD]
tense [IMPLY] attentive [PERIOD]
serious [AND] glamorous [IMPLY] strange [PERIOD]
frantic [IMPLY] serious [PERIOD]
frantic [AND] vivacious [IMPLY] attentive [PERIOD]
difficult [AND] frantic [IMPLY] glamorous [PERIOD]
tense [AND] glamorous [AND] vivacious [IMPLY] frantic [PERIOD]
strange [AND] difficult [IMPLY] attentive [PERIOD]
attentive [AND] serious [AND] glamorous [IMPLY] strange [PERIOD]
tense [AND] serious [AND] vivacious [IMPLY] difficult [PERIOD]
tense [AND] strange [AND] vivacious [IMPLY] attentive [PERIOD]
serious [AND] difficult [AND] vivacious [IMPLY] frantic [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   Cannot apply rule “strange ∧ serious ⇒ attentive” because missing: strange, serious.
   Cannot apply rule “tense ⇒ attentive” because missing: tense.
   Cannot apply rule “frantic ∧ vivacious ⇒ attentive” because missing: frantic, vivacious.
   Cannot apply rule “strange ∧ difficult ⇒ attentive” because missing: strange.
   Cannot apply rule “tense ∧ strange ∧ vivacious ⇒ attentive” because missing: tense, strange, vivacious.
",0,5
"Facts: 
Rules:
old-fashioned [AND] hypocritical [AND] sincere [IMPLY] polite [PERIOD]
glamorous [AND] anxious [IMPLY] spotless [PERIOD]
glamorous [AND] spotless [AND] rude [IMPLY] hurt [PERIOD]
bossy [AND] glamorous [IMPLY] dull [PERIOD]
long [IMPLY] anxious [PERIOD]
busy [AND] hypocritical [IMPLY] condemned [PERIOD]
hypocritical [AND] quaint [IMPLY] spotless [PERIOD]
glamorous [AND] polite [AND] hurt [IMPLY] disgusted [PERIOD]
smart [AND] sincere [AND] old-fashioned [IMPLY] quaint [PERIOD]
wrong [IMPLY] glamorous [PERIOD]
shiny [IMPLY] disgusted [PERIOD]
bossy [IMPLY] smart [PERIOD]
shiny [AND] glamorous [IMPLY] hurt [PERIOD]
mean [IMPLY] condemned [PERIOD]
condemned [AND] supportive [AND] hypocritical [IMPLY] dull [PERIOD]
mean [AND] wrong [AND] spotless [IMPLY] polite [PERIOD]
hurt [IMPLY] polite [PERIOD]
bossy [AND] disgusted [AND] old-fashioned [IMPLY] horrible [PERIOD]
dull [AND] disgusted [AND] smart [IMPLY] long [PERIOD]
long [AND] supportive [IMPLY] busy [PERIOD]
talented [IMPLY] polite [PERIOD]
wrong [IMPLY] calm [PERIOD]
hypocritical [AND] calm [IMPLY] old-fashioned [PERIOD]
quaint [IMPLY] bossy [PERIOD]
horrible [AND] busy [IMPLY] condemned [PERIOD]
sincere [AND] smart [AND] rude [IMPLY] glamorous [PERIOD]
supportive [AND] sincere [IMPLY] wrong [PERIOD]
smart [IMPLY] long [PERIOD]
hypocritical [IMPLY] bossy [PERIOD]
bossy [AND] polite [IMPLY] wrong [PERIOD]
disgusted [IMPLY] condemned [PERIOD]
shiny [IMPLY] polite [PERIOD]
wrong [IMPLY] spotless [PERIOD]
dull [AND] polite [AND] calm [IMPLY] sincere [PERIOD]
hypocritical [AND] quaint [AND] smart [IMPLY] spotless [PERIOD]
bossy [AND] condemned [AND] old-fashioned [IMPLY] wrong [PERIOD]
quaint [AND] old-fashioned [IMPLY] bossy [PERIOD]
condemned [AND] talented [IMPLY] rude [PERIOD]
long [IMPLY] hypocritical [PERIOD]
condemned [AND] dull [AND] smart [IMPLY] wrong [PERIOD]
calm [AND] hurt [IMPLY] polite [PERIOD]
wrong [AND] glamorous [AND] hurt [IMPLY] mean [PERIOD]
horrible [AND] busy [IMPLY] dull [PERIOD]
horrible [IMPLY] talented [PERIOD]
polite [AND] rude [IMPLY] supportive [PERIOD]
old-fashioned [AND] anxious [IMPLY] calm [PERIOD]
polite [IMPLY] disgusted [PERIOD]
horrible [AND] smart [IMPLY] polite [PERIOD]
polite [IMPLY] horrible [PERIOD]
talented [IMPLY] hypocritical [PERIOD]
glamorous [AND] smart [AND] bossy [IMPLY] hypocritical [PERIOD]
busy [IMPLY] smart [PERIOD]
condemned [IMPLY] disgusted [PERIOD]
glamorous [AND] calm [IMPLY] mean [PERIOD]
long [AND] calm [IMPLY] hypocritical [PERIOD]
mean [AND] calm [AND] sincere [IMPLY] wrong [PERIOD]
hurt [AND] smart [AND] supportive [IMPLY] dull [PERIOD]
smart [AND] shiny [AND] condemned [IMPLY] polite [PERIOD]
spotless [IMPLY] sincere [PERIOD]
old-fashioned [AND] long [IMPLY] wrong [PERIOD]
spotless [IMPLY] dull [PERIOD]
busy [IMPLY] disgusted [PERIOD]
calm [AND] rude [AND] busy [IMPLY] smart [PERIOD]
supportive [AND] wrong [IMPLY] quaint [PERIOD]
bossy [IMPLY] hurt [PERIOD]
wrong [AND] mean [IMPLY] quaint [PERIOD]
dull [AND] bossy [AND] rude [IMPLY] long [PERIOD]
quaint [AND] long [IMPLY] disgusted [PERIOD]
shiny [AND] glamorous [IMPLY] mean [PERIOD]
talented [AND] spotless [AND] calm [IMPLY] shiny [PERIOD]
smart [IMPLY] calm [PERIOD]
bossy [IMPLY] disgusted [PERIOD]
dull [AND] quaint [AND] supportive [IMPLY] anxious [PERIOD]
horrible [AND] smart [AND] condemned [IMPLY] shiny [PERIOD]
glamorous [AND] condemned [AND] polite [IMPLY] hypocritical [PERIOD]
long [AND] hurt [AND] wrong [IMPLY] shiny [PERIOD]
old-fashioned [AND] condemned [IMPLY] wrong [PERIOD]
smart [AND] shiny [AND] busy [IMPLY] glamorous [PERIOD]
sincere [IMPLY] spotless [PERIOD]
mean [IMPLY] long [PERIOD]
dull [AND] polite [IMPLY] busy [PERIOD]
bossy [IMPLY] anxious [PERIOD]
sincere [AND] rude [AND] disgusted [IMPLY] glamorous [PERIOD]
horrible [AND] condemned [AND] long [IMPLY] disgusted [PERIOD]
horrible [AND] spotless [AND] mean [IMPLY] hypocritical [PERIOD]
calm [AND] rude [AND] shiny [IMPLY] polite [PERIOD]
quaint [AND] polite [IMPLY] rude [PERIOD]
glamorous [AND] rude [IMPLY] old-fashioned [PERIOD]
supportive [AND] rude [IMPLY] horrible [PERIOD]
long [AND] disgusted [IMPLY] shiny [PERIOD]
horrible [IMPLY] hypocritical [PERIOD]
quaint [AND] anxious [IMPLY] busy [PERIOD]
anxious [IMPLY] rude [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   Cannot apply rule “supportive ∧ sincere ⇒ wrong” because missing: supportive, sincere.
   Cannot apply rule “bossy ∧ polite ⇒ wrong” because missing: bossy, polite.
   Cannot apply rule “bossy ∧ condemned ∧ old-fashioned ⇒ wrong” because missing: bossy, condemned, old-fashioned.
   Cannot apply rule “condemned ∧ dull ∧ smart ⇒ wrong” because missing: condemned, dull, smart.
   Cannot apply rule “mean ∧ calm ∧ sincere ⇒ wrong” because missing: mean, calm, sincere.
   Cannot apply rule “old-fashioned ∧ long ⇒ wrong” because missing: old-fashioned, long.
   Cannot apply rule “old-fashioned ∧ condemned ⇒ wrong” because missing: old-fashioned, condemned.
",0,7
"Facts:  Alice is powerful [PERIOD] Alice is troubled [PERIOD] Alice is elated [PERIOD]
Rules:
serious [IMPLY] gorgeous [PERIOD]
light [AND] powerful [AND] hilarious [IMPLY] troubled [PERIOD]
impartial [AND] alert [IMPLY] popular [PERIOD]
aggressive [AND] wide-eyed [IMPLY] smart [PERIOD]
supportive [AND] light [AND] elated [IMPLY] spotless [PERIOD]
hilarious [IMPLY] troubled [PERIOD]
pleasant [AND] supportive [IMPLY] reserved [PERIOD]
alert [AND] spotless [IMPLY] gleaming [PERIOD]
nervous [AND] troubled [IMPLY] gleaming [PERIOD]
wide-eyed [AND] joyous [IMPLY] mean [PERIOD]
powerful [AND] pleasant [IMPLY] reserved [PERIOD]
nervous [AND] smart [IMPLY] supportive [PERIOD]
hilarious [AND] smart [AND] gleaming [IMPLY] troubled [PERIOD]
glamorous [IMPLY] light [PERIOD]
joyous [AND] gorgeous [IMPLY] powerful [PERIOD]
troubled [AND] gorgeous [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] joyous [PERIOD]
supportive [IMPLY] pleasant [PERIOD]
smart [AND] hilarious [IMPLY] mean [PERIOD]
reserved [AND] alert [AND] nervous [IMPLY] serious [PERIOD]
reserved [AND] mean [AND] nervous [IMPLY] wide-eyed [PERIOD]
light [IMPLY] aggressive [PERIOD]
smart [AND] powerful [IMPLY] light [PERIOD]
aggressive [IMPLY] hilarious [PERIOD]
mean [IMPLY] serious [PERIOD]
gorgeous [IMPLY] aggressive [PERIOD]
elated [IMPLY] powerful [PERIOD]
smart [AND] light [AND] supportive [IMPLY] serious [PERIOD]
popular [AND] joyous [IMPLY] light [PERIOD]
wide-eyed [IMPLY] impartial [PERIOD]
popular [IMPLY] aggressive [PERIOD]
elated [AND] powerful [AND] serious [IMPLY] troubled [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   Cannot apply rule “troubled ∧ gorgeous ⇒ pleasant” because missing: gorgeous.
   Cannot apply rule “supportive ⇒ pleasant” because missing: supportive.
",0,2
"Facts: 
Rules:
tender [AND] fancy [AND] frantic [IMPLY] intellectual [PERIOD]
busy [IMPLY] frantic [PERIOD]
tender [AND] frantic [AND] busy [IMPLY] intellectual [PERIOD]
busy [IMPLY] tender [PERIOD]
intellectual [AND] busy [IMPLY] frantic [PERIOD]
fancy [AND] intellectual [IMPLY] tender [PERIOD]
tender [AND] intellectual [AND] frantic [IMPLY] fancy [PERIOD]
tender [IMPLY] fancy [PERIOD]
intellectual [AND] tender [IMPLY] frantic [PERIOD]
fancy [AND] busy [IMPLY] frantic [PERIOD]
busy [AND] tender [AND] intellectual [IMPLY] fancy [PERIOD]
busy [AND] intellectual [AND] fancy [IMPLY] frantic [PERIOD]
frantic [AND] fancy [IMPLY] tender [PERIOD]
fancy [IMPLY] intellectual [PERIOD]
fancy [IMPLY] busy [PERIOD]
frantic [AND] tender [AND] intellectual [IMPLY] busy [PERIOD]
busy [AND] frantic [AND] tender [IMPLY] fancy [PERIOD]
intellectual [IMPLY] fancy [PERIOD]
busy [IMPLY] fancy [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   Cannot apply rule “tender ∧ intellectual ∧ frantic ⇒ fancy” because missing: tender, intellectual, frantic.
   Cannot apply rule “tender ⇒ fancy” because missing: tender.
   Cannot apply rule “busy ∧ tender ∧ intellectual ⇒ fancy” because missing: busy, tender, intellectual.
   Cannot apply rule “busy ∧ frantic ∧ tender ⇒ fancy” because missing: busy, frantic, tender.
   Cannot apply rule “intellectual ⇒ fancy” because missing: intellectual.
   Cannot apply rule “busy ⇒ fancy” because missing: busy.
",0,6
"Facts:  Alice is naughty [PERIOD] Alice is unpleasant [PERIOD] Alice is cruel [PERIOD]
Rules:
cruel [AND] sincere [IMPLY] unpleasant [PERIOD]
unpleasant [AND] bright [IMPLY] naughty [PERIOD]
bright [AND] naughty [AND] cruel [IMPLY] sincere [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   Cannot apply rule “bright ∧ naughty ∧ cruel ⇒ sincere” because missing: bright.
",0,1
"Facts:  Alice is selfish [PERIOD]
Rules:
light [AND] distinct [AND] wide-eyed [IMPLY] tame [PERIOD]
confused [AND] average [IMPLY] strange [PERIOD]
calm [IMPLY] wide-eyed [PERIOD]
courageous [AND] tame [IMPLY] calm [PERIOD]
strange [AND] selfish [IMPLY] wide-eyed [PERIOD]
anxious [IMPLY] calm [PERIOD]
anxious [IMPLY] selfish [PERIOD]
light [AND] distinct [AND] wide-eyed [IMPLY] calm [PERIOD]
tame [AND] average [IMPLY] light [PERIOD]
selfish [AND] strange [IMPLY] light [PERIOD]
strange [AND] average [AND] troubled [IMPLY] light [PERIOD]
average [IMPLY] confused [PERIOD]
distinct [AND] strange [AND] confused [IMPLY] anxious [PERIOD]
calm [AND] distinct [AND] anxious [IMPLY] tame [PERIOD]
light [AND] confused [IMPLY] tame [PERIOD]
calm [AND] light [IMPLY] selfish [PERIOD]
strange [AND] anxious [AND] selfish [IMPLY] average [PERIOD]
busy [IMPLY] light [PERIOD]
wide-eyed [IMPLY] strange [PERIOD]
calm [AND] tame [AND] light [IMPLY] anxious [PERIOD]
anxious [AND] wide-eyed [AND] confused [IMPLY] distinct [PERIOD]
tame [IMPLY] courageous [PERIOD]
confused [AND] anxious [AND] troubled [IMPLY] calm [PERIOD]
strange [IMPLY] wide-eyed [PERIOD]
tame [AND] anxious [AND] busy [IMPLY] light [PERIOD]
light [AND] troubled [IMPLY] selfish [PERIOD]
selfish [AND] tame [IMPLY] distinct [PERIOD]
average [AND] tame [IMPLY] busy [PERIOD]
confused [IMPLY] troubled [PERIOD]
troubled [AND] tame [AND] calm [IMPLY] courageous [PERIOD]
confused [AND] average [AND] selfish [IMPLY] busy [PERIOD]
calm [AND] strange [AND] anxious [IMPLY] busy [PERIOD]
selfish [AND] confused [AND] courageous [IMPLY] wide-eyed [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   Cannot apply rule “calm ⇒ wide-eyed” because missing: calm.
   Cannot apply rule “strange ∧ selfish ⇒ wide-eyed” because missing: strange.
   Cannot apply rule “strange ⇒ wide-eyed” because missing: strange.
   Cannot apply rule “selfish ∧ confused ∧ courageous ⇒ wide-eyed” because missing: confused, courageous.
",0,4
"Facts:  Alice is sincere [PERIOD] Alice is talkative [PERIOD]
Rules:
serious [AND] bored [IMPLY] amused [PERIOD]
fine [AND] talkative [AND] polite [IMPLY] sincere [PERIOD]
charming [AND] fine [IMPLY] bored [PERIOD]
amused [AND] fine [IMPLY] serious [PERIOD]
amused [IMPLY] calm [PERIOD]
charming [AND] polite [AND] serious [IMPLY] amused [PERIOD]
sincere [AND] polite [IMPLY] fine [PERIOD]
charming [IMPLY] calm [PERIOD]
talkative [IMPLY] sincere [PERIOD]
sincere [IMPLY] bored [PERIOD]
sincere [AND] bored [AND] talkative [IMPLY] fine [PERIOD]
calm [AND] serious [AND] talkative [IMPLY] stormy [PERIOD]
talkative [AND] fine [AND] amused [IMPLY] serious [PERIOD]
fine [AND] polite [AND] charming [IMPLY] sincere [PERIOD]
charming [AND] fine [IMPLY] polite [PERIOD]
charming [IMPLY] polite [PERIOD]
fine [AND] serious [IMPLY] amused [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   Cannot apply rule “amused ⇒ calm” because missing: amused.
   Cannot apply rule “charming ⇒ calm” because missing: charming.
",0,2
"Facts:  Alice is tidy [PERIOD]
Rules:
lonely [AND] smart [AND] impatient [IMPLY] distinct [PERIOD]
reserved [AND] impatient [IMPLY] attentive [PERIOD]
attentive [IMPLY] hypocritical [PERIOD]
tidy [IMPLY] lonely [PERIOD]
attentive [AND] distinct [IMPLY] mysterious [PERIOD]
lonely [IMPLY] distinct [PERIOD]
hypocritical [AND] reserved [IMPLY] attentive [PERIOD]
impatient [IMPLY] reserved [PERIOD]
smart [AND] hypocritical [IMPLY] tender [PERIOD]
tender [IMPLY] tidy [PERIOD]
reserved [AND] lonely [AND] distinct [IMPLY] straightforward [PERIOD]
distinct [IMPLY] lonely [PERIOD]
tender [IMPLY] impatient [PERIOD]
distinct [AND] tender [IMPLY] lonely [PERIOD]
hypocritical [AND] lonely [AND] tender [IMPLY] distinct [PERIOD]
straightforward [IMPLY] tidy [PERIOD]
tidy [AND] tender [AND] attentive [IMPLY] straightforward [PERIOD]
distinct [AND] smart [IMPLY] tender [PERIOD]
impatient [AND] attentive [IMPLY] smart [PERIOD]
lonely [AND] smart [AND] distinct [IMPLY] tender [PERIOD]
smart [AND] straightforward [AND] distinct [IMPLY] tidy [PERIOD]
impatient [AND] lonely [AND] tender [IMPLY] hypocritical [PERIOD]
lonely [AND] distinct [IMPLY] tidy [PERIOD]
mysterious [AND] impatient [AND] distinct [IMPLY] lonely [PERIOD]
hypocritical [AND] attentive [IMPLY] lonely [PERIOD]
lonely [IMPLY] reserved [PERIOD]
tidy [AND] lonely [IMPLY] hypocritical [PERIOD]
smart [AND] attentive [IMPLY] straightforward [PERIOD]
attentive [IMPLY] tender [PERIOD]
tidy [AND] reserved [AND] impatient [IMPLY] mysterious [PERIOD]
attentive [AND] reserved [AND] hypocritical [IMPLY] smart [PERIOD]
smart [AND] tidy [AND] tender [IMPLY] distinct [PERIOD]
reserved [AND] tender [AND] impatient [IMPLY] distinct [PERIOD]
mysterious [AND] straightforward [AND] tender [IMPLY] distinct [PERIOD]
smart [AND] impatient [IMPLY] distinct [PERIOD]
straightforward [IMPLY] mysterious [PERIOD]
tender [AND] smart [AND] hypocritical [IMPLY] tidy [PERIOD]
tidy [AND] distinct [IMPLY] tender [PERIOD]
straightforward [AND] tidy [IMPLY] attentive [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   tidy ⇒ lonely
   lonely ⇒ reserved
   tidy ⇒ lonely
   tidy ⇒ lonely
   lonely ⇒ distinct
   reserved ∧ lonely ∧ distinct ⇒ straightforward
",1,6
"Facts:  Alice is aggressive [PERIOD] Alice is frail [PERIOD] Alice is troubled [PERIOD] Alice is charming [PERIOD]
Rules:
intellectual [AND] stubborn [IMPLY] aggressive [PERIOD]
lucky [IMPLY] intellectual [PERIOD]
charming [AND] talkative [IMPLY] powerful [PERIOD]
charming [IMPLY] intellectual [PERIOD]
attentive [AND] intellectual [AND] lucky [IMPLY] powerful [PERIOD]
calm [IMPLY] attentive [PERIOD]
aggressive [AND] intellectual [AND] talkative [IMPLY] frail [PERIOD]
intellectual [AND] lucky [AND] homely [IMPLY] troubled [PERIOD]
intellectual [IMPLY] calm [PERIOD]
powerful [AND] intellectual [IMPLY] troubled [PERIOD]
powerful [AND] intellectual [AND] impatient [IMPLY] charming [PERIOD]
charming [AND] impatient [AND] powerful [IMPLY] troubled [PERIOD]
attentive [AND] charming [AND] powerful [IMPLY] frail [PERIOD]
impatient [AND] frail [IMPLY] troubled [PERIOD]
impatient [IMPLY] charming [PERIOD]
frail [IMPLY] troubled [PERIOD]
frail [IMPLY] attentive [PERIOD]
attentive [AND] aggressive [AND] stubborn [IMPLY] homely [PERIOD]
impatient [IMPLY] frail [PERIOD]
attentive [AND] impatient [IMPLY] frail [PERIOD]
powerful [AND] talkative [AND] charming [IMPLY] intellectual [PERIOD]
talkative [AND] troubled [AND] intellectual [IMPLY] impatient [PERIOD]
homely [IMPLY] talkative [PERIOD]
frail [AND] calm [AND] troubled [IMPLY] talkative [PERIOD]
intellectual [AND] calm [AND] talkative [IMPLY] attentive [PERIOD]
frail [AND] talkative [IMPLY] homely [PERIOD]
intellectual [AND] calm [IMPLY] attentive [PERIOD]
talkative [AND] powerful [IMPLY] charming [PERIOD]
impatient [IMPLY] troubled [PERIOD]
attentive [AND] lucky [AND] talkative [IMPLY] frail [PERIOD]
powerful [AND] lucky [IMPLY] troubled [PERIOD]
powerful [IMPLY] stubborn [PERIOD]
calm [AND] homely [IMPLY] talkative [PERIOD]
charming [IMPLY] calm [PERIOD]
troubled [AND] homely [AND] powerful [IMPLY] attentive [PERIOD]
stubborn [AND] troubled [AND] frail [IMPLY] attentive [PERIOD]
homely [IMPLY] aggressive [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   charming ⇒ calm
   frail ∧ calm ∧ troubled ⇒ talkative
   frail ∧ talkative ⇒ homely
",1,3
"Facts:  Alice is spotless [PERIOD] Alice is tame [PERIOD]
Rules:
mean [AND] ambitious [AND] beautiful [IMPLY] enchanting [PERIOD]
rude [AND] calm [IMPLY] grumpy [PERIOD]
rude [AND] grumpy [IMPLY] loving [PERIOD]
calm [AND] loving [AND] amused [IMPLY] rude [PERIOD]
spotless [IMPLY] weary [PERIOD]
hurt [AND] loving [IMPLY] cute [PERIOD]
beautiful [AND] enchanting [AND] cute [IMPLY] amused [PERIOD]
inquisitive [IMPLY] old-fashioned [PERIOD]
grumpy [IMPLY] agreeable [PERIOD]
amused [AND] friendly [AND] cute [IMPLY] pleasant [PERIOD]
grumpy [IMPLY] hurt [PERIOD]
mean [IMPLY] loving [PERIOD]
tender [AND] good [IMPLY] calm [PERIOD]
grumpy [AND] lonely [IMPLY] adorable [PERIOD]
loving [AND] hurt [AND] tender [IMPLY] weary [PERIOD]
beautiful [AND] inquisitive [AND] amused [IMPLY] cute [PERIOD]
amused [AND] lonely [AND] ambitious [IMPLY] weary [PERIOD]
spotless [AND] amused [IMPLY] hurt [PERIOD]
rude [AND] intellectual [AND] beautiful [IMPLY] tame [PERIOD]
friendly [IMPLY] enchanting [PERIOD]
adorable [AND] hurt [IMPLY] grumpy [PERIOD]
enchanting [AND] adorable [AND] agreeable [IMPLY] amused [PERIOD]
adorable [AND] friendly [IMPLY] tame [PERIOD]
enchanting [IMPLY] old-fashioned [PERIOD]
beautiful [IMPLY] spotless [PERIOD]
friendly [IMPLY] hurt [PERIOD]
calm [IMPLY] pleasant [PERIOD]
old-fashioned [IMPLY] adorable [PERIOD]
hurt [AND] mean [AND] grumpy [IMPLY] tame [PERIOD]
good [IMPLY] adorable [PERIOD]
cute [AND] good [IMPLY] amused [PERIOD]
spotless [AND] tender [AND] inquisitive [IMPLY] calm [PERIOD]
amused [IMPLY] pleasant [PERIOD]
spotless [IMPLY] loving [PERIOD]
beautiful [AND] adorable [AND] agreeable [IMPLY] lonely [PERIOD]
ambitious [AND] intellectual [AND] good [IMPLY] inquisitive [PERIOD]
cute [IMPLY] hurt [PERIOD]
lonely [AND] cute [IMPLY] good [PERIOD]
calm [IMPLY] adorable [PERIOD]
weary [IMPLY] beautiful [PERIOD]
agreeable [AND] lonely [AND] tender [IMPLY] pleasant [PERIOD]
beautiful [AND] hurt [IMPLY] grumpy [PERIOD]
pleasant [AND] tender [IMPLY] mean [PERIOD]
amused [AND] friendly [AND] adorable [IMPLY] ambitious [PERIOD]
hurt [AND] amused [AND] intellectual [IMPLY] old-fashioned [PERIOD]
tender [IMPLY] weary [PERIOD]
good [IMPLY] tame [PERIOD]
loving [IMPLY] amused [PERIOD]
tender [AND] mean [IMPLY] rude [PERIOD]
hurt [AND] loving [AND] enchanting [IMPLY] inquisitive [PERIOD]
rude [AND] mean [IMPLY] good [PERIOD]
weary [AND] inquisitive [AND] calm [IMPLY] ambitious [PERIOD]
amused [AND] adorable [IMPLY] lonely [PERIOD]
grumpy [AND] loving [IMPLY] ambitious [PERIOD]
tender [IMPLY] friendly [PERIOD]
tender [IMPLY] ambitious [PERIOD]
spotless [AND] intellectual [AND] old-fashioned [IMPLY] good [PERIOD]
agreeable [AND] ambitious [IMPLY] amused [PERIOD]
tame [AND] good [IMPLY] inquisitive [PERIOD]
calm [IMPLY] weary [PERIOD]
old-fashioned [IMPLY] lonely [PERIOD]
pleasant [AND] inquisitive [AND] cute [IMPLY] old-fashioned [PERIOD]
spotless [IMPLY] ambitious [PERIOD]
friendly [AND] tender [AND] enchanting [IMPLY] inquisitive [PERIOD]
rude [AND] spotless [AND] agreeable [IMPLY] mean [PERIOD]
ambitious [AND] agreeable [AND] adorable [IMPLY] old-fashioned [PERIOD]
agreeable [AND] grumpy [AND] spotless [IMPLY] hurt [PERIOD]
cute [AND] tame [IMPLY] lonely [PERIOD]
agreeable [AND] cute [AND] lonely [IMPLY] tender [PERIOD]
amused [AND] grumpy [AND] loving [IMPLY] tender [PERIOD]
tame [IMPLY] spotless [PERIOD]
tame [AND] beautiful [IMPLY] ambitious [PERIOD]
cute [AND] pleasant [IMPLY] good [PERIOD]
weary [AND] beautiful [IMPLY] amused [PERIOD]
adorable [IMPLY] enchanting [PERIOD]
cute [IMPLY] good [PERIOD]
beautiful [AND] cute [IMPLY] lonely [PERIOD]
enchanting [IMPLY] calm [PERIOD]
old-fashioned [IMPLY] rude [PERIOD]
beautiful [AND] spotless [IMPLY] tame [PERIOD]
enchanting [AND] pleasant [AND] spotless [IMPLY] inquisitive [PERIOD]
calm [IMPLY] amused [PERIOD]
spotless [AND] lonely [AND] pleasant [IMPLY] beautiful [PERIOD]
tame [AND] tender [IMPLY] intellectual [PERIOD]
calm [AND] adorable [IMPLY] tender [PERIOD]
intellectual [AND] tender [IMPLY] cute [PERIOD]
pleasant [AND] intellectual [AND] inquisitive [IMPLY] old-fashioned [PERIOD]
pleasant [IMPLY] mean [PERIOD]
tame [AND] old-fashioned [AND] grumpy [IMPLY] enchanting [PERIOD]
spotless [IMPLY] tame [PERIOD]
amused [AND] cute [AND] enchanting [IMPLY] adorable [PERIOD]
good [IMPLY] pleasant [PERIOD]
grumpy [AND] tame [IMPLY] spotless [PERIOD]
enchanting [IMPLY] beautiful [PERIOD]
ambitious [AND] adorable [IMPLY] friendly [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   spotless ⇒ loving
   loving ⇒ amused
   spotless ∧ amused ⇒ hurt
",1,3
"Facts: 
Rules:
confident [AND] bored [IMPLY] wandering [PERIOD]
stupid [AND] wandering [IMPLY] worrisome [PERIOD]
proud [IMPLY] pessimistic [PERIOD]
bright [IMPLY] homely [PERIOD]
homely [IMPLY] wandering [PERIOD]
confident [IMPLY] homely [PERIOD]
clean [AND] bright [IMPLY] wandering [PERIOD]
wandering [AND] worrisome [IMPLY] bored [PERIOD]
bright [AND] bored [IMPLY] clean [PERIOD]
wandering [IMPLY] confident [PERIOD]
clean [AND] bored [AND] stupid [IMPLY] bright [PERIOD]
pessimistic [IMPLY] stupid [PERIOD]
homely [AND] clean [IMPLY] confident [PERIOD]
wandering [AND] worrisome [AND] bright [IMPLY] pessimistic [PERIOD]
hypocritical [IMPLY] bored [PERIOD]
pessimistic [IMPLY] bright [PERIOD]
blushing [AND] worrisome [AND] proud [IMPLY] homely [PERIOD]
proud [IMPLY] bored [PERIOD]
hypocritical [AND] clean [IMPLY] pessimistic [PERIOD]
homely [AND] wandering [AND] stupid [IMPLY] bright [PERIOD]
homely [AND] bright [AND] worrisome [IMPLY] blushing [PERIOD]
worrisome [AND] confident [AND] hypocritical [IMPLY] blushing [PERIOD]
confident [IMPLY] pessimistic [PERIOD]
confident [AND] pessimistic [IMPLY] homely [PERIOD]
worrisome [AND] blushing [IMPLY] bright [PERIOD]
stupid [IMPLY] clean [PERIOD]
hypocritical [AND] blushing [AND] pessimistic [IMPLY] stupid [PERIOD]
proud [IMPLY] stupid [PERIOD]
proud [AND] stupid [AND] bright [IMPLY] wandering [PERIOD]
hypocritical [AND] wandering [AND] bored [IMPLY] clean [PERIOD]
bright [AND] wandering [AND] bored [IMPLY] confident [PERIOD]
bright [AND] wandering [IMPLY] proud [PERIOD]
pessimistic [AND] blushing [IMPLY] homely [PERIOD]
homely [IMPLY] clean [PERIOD]
homely [AND] pessimistic [AND] worrisome [IMPLY] bored [PERIOD]
homely [AND] pessimistic [AND] confident [IMPLY] bright [PERIOD]
stupid [AND] bored [AND] proud [IMPLY] confident [PERIOD]
pessimistic [AND] wandering [AND] clean [IMPLY] homely [PERIOD]
homely [IMPLY] worrisome [PERIOD]
worrisome [AND] stupid [AND] blushing [IMPLY] hypocritical [PERIOD]
stupid [AND] clean [IMPLY] proud [PERIOD]
bored [IMPLY] proud [PERIOD]
pessimistic [IMPLY] homely [PERIOD]
Query: Alice is confident [PERIOD]","Proof chain:
   Cannot apply rule “wandering ⇒ confident” because missing: wandering.
   Cannot apply rule “homely ∧ clean ⇒ confident” because missing: homely, clean.
   Cannot apply rule “bright ∧ wandering ∧ bored ⇒ confident” because missing: bright, wandering, bored.
   Cannot apply rule “stupid ∧ bored ∧ proud ⇒ confident” because missing: stupid, bored, proud.
",0,4
"Facts:  Alice is reserved [PERIOD] Alice is stormy [PERIOD] Alice is frail [PERIOD] Alice is ambitious [PERIOD] Alice is lucky [PERIOD] Alice is tired [PERIOD] Alice is bossy [PERIOD] Alice is tidy [PERIOD]
Rules:
shiny [AND] perfect [AND] confident [IMPLY] elegant [PERIOD]
friendly [IMPLY] old-fashioned [PERIOD]
clumsy [AND] average [IMPLY] shiny [PERIOD]
old-fashioned [AND] stupid [AND] impatient [IMPLY] enchanting [PERIOD]
frail [IMPLY] ambitious [PERIOD]
confident [IMPLY] shiny [PERIOD]
frail [AND] tidy [IMPLY] diplomatic [PERIOD]
impatient [AND] old-fashioned [IMPLY] enchanting [PERIOD]
perfect [AND] impatient [IMPLY] confident [PERIOD]
outstanding [AND] friendly [AND] frail [IMPLY] average [PERIOD]
impatient [IMPLY] perfect [PERIOD]
lucky [AND] gifted [IMPLY] tired [PERIOD]
perfect [AND] bossy [AND] clumsy [IMPLY] lucky [PERIOD]
enchanting [IMPLY] lucky [PERIOD]
average [AND] old-fashioned [IMPLY] ambitious [PERIOD]
old-fashioned [IMPLY] stupid [PERIOD]
outstanding [AND] shiny [IMPLY] enchanting [PERIOD]
attractive [IMPLY] perfect [PERIOD]
outstanding [IMPLY] gifted [PERIOD]
stormy [IMPLY] diplomatic [PERIOD]
elegant [IMPLY] impatient [PERIOD]
old-fashioned [AND] ambitious [AND] perfect [IMPLY] outstanding [PERIOD]
frail [IMPLY] shiny [PERIOD]
friendly [IMPLY] perfect [PERIOD]
gifted [AND] lucky [AND] confident [IMPLY] average [PERIOD]
ambitious [AND] bossy [AND] attractive [IMPLY] average [PERIOD]
gifted [AND] attractive [AND] shiny [IMPLY] old-fashioned [PERIOD]
average [IMPLY] outstanding [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   Cannot apply rule “friendly ⇒ old-fashioned” because missing: friendly.
   frail ⇒ shiny
   Cannot apply rule “gifted ∧ attractive ∧ shiny ⇒ old-fashioned” because missing: gifted, attractive.
",0,3
"Facts: 
Rules:
pleasant [AND] amused [IMPLY] condemned [PERIOD]
amused [IMPLY] helpless [PERIOD]
versatile [AND] amused [AND] confident [IMPLY] helpful [PERIOD]
weary [AND] helpful [IMPLY] cooperative [PERIOD]
weary [AND] wandering [IMPLY] helpless [PERIOD]
shiny [AND] weary [IMPLY] jittery [PERIOD]
amused [IMPLY] scared [PERIOD]
confident [AND] proud [IMPLY] pleasant [PERIOD]
wandering [AND] cooperative [AND] inquisitive [IMPLY] vivacious [PERIOD]
vivacious [AND] scared [IMPLY] helpless [PERIOD]
vivacious [AND] pleasant [IMPLY] proud [PERIOD]
amused [IMPLY] weary [PERIOD]
confident [AND] jittery [AND] weary [IMPLY] amused [PERIOD]
amused [AND] proud [AND] wandering [IMPLY] confident [PERIOD]
scared [AND] helpless [AND] condemned [IMPLY] wandering [PERIOD]
helpful [IMPLY] inquisitive [PERIOD]
jittery [AND] proud [AND] wandering [IMPLY] shiny [PERIOD]
shiny [AND] wandering [AND] weary [IMPLY] confident [PERIOD]
weary [IMPLY] condemned [PERIOD]
weary [AND] amused [AND] vivacious [IMPLY] shiny [PERIOD]
jittery [IMPLY] helpful [PERIOD]
vivacious [IMPLY] condemned [PERIOD]
pleasant [IMPLY] scared [PERIOD]
vivacious [AND] helpless [IMPLY] proud [PERIOD]
inquisitive [AND] scared [IMPLY] proud [PERIOD]
cooperative [IMPLY] vivacious [PERIOD]
amused [IMPLY] vivacious [PERIOD]
proud [IMPLY] scared [PERIOD]
pleasant [AND] inquisitive [IMPLY] condemned [PERIOD]
pleasant [AND] vivacious [IMPLY] wandering [PERIOD]
shiny [AND] proud [AND] vivacious [IMPLY] helpful [PERIOD]
vivacious [AND] versatile [IMPLY] proud [PERIOD]
shiny [AND] wandering [AND] weary [IMPLY] helpless [PERIOD]
jittery [AND] helpful [IMPLY] weary [PERIOD]
helpless [IMPLY] amused [PERIOD]
amused [AND] cooperative [IMPLY] helpful [PERIOD]
shiny [AND] jittery [IMPLY] proud [PERIOD]
vivacious [AND] confident [IMPLY] scared [PERIOD]
vivacious [IMPLY] cooperative [PERIOD]
confident [AND] amused [AND] inquisitive [IMPLY] shiny [PERIOD]
vivacious [IMPLY] inquisitive [PERIOD]
helpful [AND] versatile [IMPLY] shiny [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   Cannot apply rule “amused ⇒ helpless” because missing: amused.
   Cannot apply rule “weary ∧ wandering ⇒ helpless” because missing: weary, wandering.
   Cannot apply rule “vivacious ∧ scared ⇒ helpless” because missing: vivacious, scared.
   Cannot apply rule “shiny ∧ wandering ∧ weary ⇒ helpless” because missing: shiny, wandering, weary.
",0,4
"Facts:  Alice is rational [PERIOD] Alice is long [PERIOD] Alice is homely [PERIOD] Alice is crowded [PERIOD]
Rules:
beautiful [IMPLY] homely [PERIOD]
stupid [AND] homely [AND] good [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] good [PERIOD]
stupid [AND] crowded [AND] rational [IMPLY] messy [PERIOD]
worried [AND] stupid [IMPLY] beautiful [PERIOD]
rational [AND] homely [AND] stupid [IMPLY] crowded [PERIOD]
crowded [AND] sincere [AND] messy [IMPLY] rational [PERIOD]
sincere [AND] crowded [AND] rational [IMPLY] beautiful [PERIOD]
rational [IMPLY] stupid [PERIOD]
stupid [AND] good [IMPLY] homely [PERIOD]
beautiful [AND] long [AND] messy [IMPLY] crowded [PERIOD]
rational [IMPLY] worried [PERIOD]
stupid [AND] beautiful [AND] sincere [IMPLY] worried [PERIOD]
good [IMPLY] homely [PERIOD]
beautiful [AND] homely [IMPLY] rational [PERIOD]
worried [IMPLY] beautiful [PERIOD]
worried [AND] messy [AND] long [IMPLY] sincere [PERIOD]
sincere [AND] worried [AND] beautiful [IMPLY] homely [PERIOD]
homely [AND] messy [AND] beautiful [IMPLY] rational [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   rational ⇒ worried
   rational ⇒ stupid
   stupid ∧ crowded ∧ rational ⇒ messy
   worried ∧ messy ∧ long ⇒ sincere
",1,4
"Facts: 
Rules:
fearless [IMPLY] gifted [PERIOD]
serious [AND] straightforward [AND] beautiful [IMPLY] elated [PERIOD]
confident [AND] beautiful [AND] gifted [IMPLY] frightened [PERIOD]
straightforward [IMPLY] blushing [PERIOD]
blushing [AND] serious [AND] fearless [IMPLY] gifted [PERIOD]
confident [AND] fearless [IMPLY] straightforward [PERIOD]
beautiful [IMPLY] confident [PERIOD]
frightened [IMPLY] serious [PERIOD]
fearless [AND] straightforward [AND] elated [IMPLY] beautiful [PERIOD]
confident [AND] straightforward [AND] amused [IMPLY] fearless [PERIOD]
beautiful [AND] fearless [IMPLY] serious [PERIOD]
straightforward [AND] serious [AND] gifted [IMPLY] beautiful [PERIOD]
confident [AND] elated [IMPLY] fearless [PERIOD]
amused [IMPLY] gifted [PERIOD]
beautiful [AND] serious [AND] blushing [IMPLY] elated [PERIOD]
blushing [AND] amused [IMPLY] confident [PERIOD]
fearless [IMPLY] beautiful [PERIOD]
serious [IMPLY] straightforward [PERIOD]
elated [AND] fearless [IMPLY] amused [PERIOD]
straightforward [AND] elated [IMPLY] blushing [PERIOD]
blushing [IMPLY] fearless [PERIOD]
confident [AND] serious [IMPLY] blushing [PERIOD]
amused [AND] blushing [AND] beautiful [IMPLY] gifted [PERIOD]
straightforward [AND] serious [AND] frightened [IMPLY] confident [PERIOD]
gifted [IMPLY] blushing [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   Cannot apply rule “straightforward ⇒ blushing” because missing: straightforward.
   Cannot apply rule “straightforward ∧ elated ⇒ blushing” because missing: straightforward, elated.
   Cannot apply rule “confident ∧ serious ⇒ blushing” because missing: confident, serious.
   Cannot apply rule “gifted ⇒ blushing” because missing: gifted.
",0,4
"Facts:  Alice is helpful [PERIOD] Alice is smart [PERIOD] Alice is weary [PERIOD] Alice is sincere [PERIOD] Alice is friendly [PERIOD] Alice is good [PERIOD] Alice is famous [PERIOD] Alice is uptight [PERIOD] Alice is grumpy [PERIOD]
Rules:
light [IMPLY] helpful [PERIOD]
silly [IMPLY] famous [PERIOD]
grumpy [IMPLY] rational [PERIOD]
rational [IMPLY] grumpy [PERIOD]
bad-tempered [AND] different [AND] intellectual [IMPLY] smart [PERIOD]
famous [AND] silly [IMPLY] intellectual [PERIOD]
smart [AND] uptight [IMPLY] bad-tempered [PERIOD]
frail [AND] light [AND] sincere [IMPLY] silly [PERIOD]
rational [AND] frail [IMPLY] homely [PERIOD]
good [AND] intellectual [IMPLY] helpful [PERIOD]
uptight [IMPLY] rational [PERIOD]
innocent [IMPLY] different [PERIOD]
friendly [AND] smart [IMPLY] famous [PERIOD]
helpful [AND] attentive [AND] bad-tempered [IMPLY] light [PERIOD]
innocent [AND] good [AND] homely [IMPLY] victorious [PERIOD]
bad-tempered [AND] innocent [IMPLY] famous [PERIOD]
famous [AND] light [IMPLY] easy [PERIOD]
sincere [AND] friendly [IMPLY] grumpy [PERIOD]
silly [AND] different [IMPLY] frail [PERIOD]
homely [IMPLY] horrible [PERIOD]
bad-tempered [IMPLY] silly [PERIOD]
uptight [IMPLY] easy [PERIOD]
victorious [AND] rational [AND] grumpy [IMPLY] smart [PERIOD]
intellectual [AND] famous [AND] helpful [IMPLY] silly [PERIOD]
uptight [AND] smart [AND] famous [IMPLY] rational [PERIOD]
frail [IMPLY] attentive [PERIOD]
easy [AND] helpful [AND] victorious [IMPLY] innocent [PERIOD]
intellectual [IMPLY] helpful [PERIOD]
uptight [IMPLY] famous [PERIOD]
bad-tempered [IMPLY] good [PERIOD]
attentive [AND] easy [IMPLY] silly [PERIOD]
attentive [AND] frail [AND] rational [IMPLY] silly [PERIOD]
horrible [IMPLY] intellectual [PERIOD]
famous [IMPLY] light [PERIOD]
famous [IMPLY] friendly [PERIOD]
easy [IMPLY] good [PERIOD]
innocent [AND] sincere [IMPLY] intellectual [PERIOD]
light [IMPLY] friendly [PERIOD]
easy [IMPLY] smart [PERIOD]
smart [AND] attentive [AND] bad-tempered [IMPLY] uptight [PERIOD]
famous [AND] easy [IMPLY] victorious [PERIOD]
weary [IMPLY] different [PERIOD]
intellectual [IMPLY] different [PERIOD]
frail [AND] weary [IMPLY] victorious [PERIOD]
grumpy [IMPLY] friendly [PERIOD]
grumpy [IMPLY] light [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   smart ∧ uptight ⇒ bad-tempered
   bad-tempered ⇒ silly
   weary ⇒ different
   silly ∧ different ⇒ frail
   frail ⇒ attentive
",1,5
"Facts:  Alice is versatile [PERIOD] Alice is worried [PERIOD] Alice is powerful [PERIOD] Alice is rude [PERIOD] Alice is disobedient [PERIOD] Alice is diplomatic [PERIOD] Alice is hypocritical [PERIOD] Alice is jittery [PERIOD] Alice is good [PERIOD] Alice is thoughtful [PERIOD] Alice is disgusted [PERIOD]
Rules:
grumpy [AND] disgusted [AND] polite [IMPLY] versatile [PERIOD]
courageous [AND] tame [IMPLY] hypocritical [PERIOD]
worried [IMPLY] disobedient [PERIOD]
jittery [AND] disgusted [IMPLY] stormy [PERIOD]
tame [AND] disgusted [AND] worried [IMPLY] tidy [PERIOD]
diplomatic [AND] disobedient [AND] versatile [IMPLY] courageous [PERIOD]
worried [IMPLY] stormy [PERIOD]
disobedient [AND] aggressive [AND] enchanting [IMPLY] tidy [PERIOD]
broad-minded [AND] enchanting [AND] jittery [IMPLY] victorious [PERIOD]
polite [IMPLY] enchanting [PERIOD]
hypocritical [IMPLY] thoughtful [PERIOD]
victorious [AND] grumpy [IMPLY] versatile [PERIOD]
diplomatic [IMPLY] worried [PERIOD]
aggressive [AND] broad-minded [AND] versatile [IMPLY] grumpy [PERIOD]
polite [AND] tidy [IMPLY] tame [PERIOD]
jittery [AND] polite [AND] hypocritical [IMPLY] aggressive [PERIOD]
worried [AND] polite [AND] versatile [IMPLY] victorious [PERIOD]
aggressive [AND] hypocritical [IMPLY] tidy [PERIOD]
thoughtful [IMPLY] hypocritical [PERIOD]
stormy [AND] tame [AND] disobedient [IMPLY] worried [PERIOD]
good [IMPLY] broad-minded [PERIOD]
polite [AND] powerful [AND] wandering [IMPLY] tame [PERIOD]
diplomatic [AND] grumpy [AND] victorious [IMPLY] tame [PERIOD]
versatile [AND] jittery [IMPLY] grumpy [PERIOD]
victorious [IMPLY] good [PERIOD]
grumpy [AND] hypocritical [IMPLY] powerful [PERIOD]
powerful [AND] tame [IMPLY] courageous [PERIOD]
thoughtful [AND] versatile [IMPLY] diplomatic [PERIOD]
grumpy [AND] aggressive [IMPLY] good [PERIOD]
stormy [IMPLY] hypocritical [PERIOD]
tidy [AND] rude [IMPLY] powerful [PERIOD]
powerful [IMPLY] wandering [PERIOD]
tame [AND] disgusted [IMPLY] thoughtful [PERIOD]
hypocritical [IMPLY] good [PERIOD]
victorious [AND] polite [IMPLY] diplomatic [PERIOD]
aggressive [IMPLY] thoughtful [PERIOD]
disobedient [IMPLY] enchanting [PERIOD]
thoughtful [IMPLY] grumpy [PERIOD]
thoughtful [AND] powerful [IMPLY] jittery [PERIOD]
aggressive [AND] worried [AND] tidy [IMPLY] grumpy [PERIOD]
diplomatic [IMPLY] tame [PERIOD]
rude [IMPLY] worried [PERIOD]
broad-minded [IMPLY] tidy [PERIOD]
powerful [AND] disobedient [IMPLY] rude [PERIOD]
enchanting [IMPLY] victorious [PERIOD]
hypocritical [IMPLY] rude [PERIOD]
disobedient [AND] disgusted [IMPLY] diplomatic [PERIOD]
disobedient [AND] polite [AND] thoughtful [IMPLY] wandering [PERIOD]
victorious [AND] good [AND] courageous [IMPLY] grumpy [PERIOD]
powerful [AND] victorious [AND] stormy [IMPLY] courageous [PERIOD]
enchanting [AND] powerful [AND] versatile [IMPLY] stormy [PERIOD]
stormy [IMPLY] polite [PERIOD]
rude [AND] courageous [AND] stormy [IMPLY] disgusted [PERIOD]
tame [IMPLY] courageous [PERIOD]
wandering [AND] courageous [AND] enchanting [IMPLY] disobedient [PERIOD]
good [AND] powerful [AND] disobedient [IMPLY] worried [PERIOD]
diplomatic [IMPLY] aggressive [PERIOD]
worried [AND] polite [AND] aggressive [IMPLY] hypocritical [PERIOD]
good [AND] tidy [IMPLY] rude [PERIOD]
grumpy [IMPLY] victorious [PERIOD]
polite [AND] grumpy [AND] aggressive [IMPLY] wandering [PERIOD]
disobedient [AND] disgusted [AND] worried [IMPLY] grumpy [PERIOD]
wandering [AND] disobedient [AND] good [IMPLY] aggressive [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   thoughtful ⇒ grumpy
",1,1
"Facts: 
Rules:
strange [AND] sensible [IMPLY] homely [PERIOD]
gorgeous [AND] dishonest [IMPLY] wide-eyed [PERIOD]
cooperative [AND] modern [IMPLY] pleasant [PERIOD]
cooperative [AND] proud [IMPLY] ugliest [PERIOD]
cooperative [AND] sleepy [IMPLY] dishonest [PERIOD]
muddy [AND] sensible [AND] frail [IMPLY] sleepy [PERIOD]
smart [AND] cooperative [IMPLY] sincere [PERIOD]
cruel [AND] sleepy [AND] frail [IMPLY] cooperative [PERIOD]
inexpensive [AND] wide-eyed [AND] busy [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] victorious [PERIOD]
strange [AND] gorgeous [IMPLY] wide-eyed [PERIOD]
muddy [AND] proud [AND] sincere [IMPLY] mysterious [PERIOD]
mysterious [AND] frail [AND] sensible [IMPLY] strange [PERIOD]
dishonest [AND] quaint [AND] stormy [IMPLY] mysterious [PERIOD]
modern [AND] homely [IMPLY] busy [PERIOD]
modern [AND] strange [AND] wide-eyed [IMPLY] charming [PERIOD]
smart [IMPLY] homely [PERIOD]
sleepy [AND] cruel [IMPLY] ugliest [PERIOD]
pleasant [AND] inexpensive [IMPLY] charming [PERIOD]
homely [IMPLY] frail [PERIOD]
smart [IMPLY] sensible [PERIOD]
fragile [IMPLY] ambitious [PERIOD]
vivacious [AND] modern [IMPLY] cooperative [PERIOD]
frail [AND] strange [IMPLY] pleasant [PERIOD]
sensible [AND] muddy [IMPLY] fragile [PERIOD]
quaint [AND] charming [IMPLY] stormy [PERIOD]
pleasant [AND] fragile [IMPLY] strange [PERIOD]
stormy [AND] victorious [AND] sincere [IMPLY] sensible [PERIOD]
ugliest [AND] proud [AND] fragile [IMPLY] smart [PERIOD]
gorgeous [AND] thoughtless [IMPLY] sleepy [PERIOD]
dishonest [AND] muddy [IMPLY] proud [PERIOD]
proud [AND] quaint [AND] frail [IMPLY] smart [PERIOD]
gorgeous [AND] strange [IMPLY] cruel [PERIOD]
charming [AND] cooperative [IMPLY] thoughtless [PERIOD]
fragile [AND] quaint [IMPLY] stormy [PERIOD]
modern [IMPLY] sincere [PERIOD]
pleasant [IMPLY] wide-eyed [PERIOD]
cruel [AND] ambitious [IMPLY] pleasant [PERIOD]
stormy [AND] gorgeous [IMPLY] ambitious [PERIOD]
thoughtless [IMPLY] quaint [PERIOD]
cooperative [AND] charming [IMPLY] smart [PERIOD]
modern [AND] cruel [IMPLY] quaint [PERIOD]
smart [AND] strange [AND] ugliest [IMPLY] wide-eyed [PERIOD]
smart [AND] sincere [AND] thoughtless [IMPLY] ugliest [PERIOD]
victorious [IMPLY] vivacious [PERIOD]
ambitious [AND] charming [IMPLY] proud [PERIOD]
mysterious [AND] thoughtless [AND] wide-eyed [IMPLY] inexpensive [PERIOD]
cruel [IMPLY] cooperative [PERIOD]
quaint [AND] wide-eyed [AND] pleasant [IMPLY] victorious [PERIOD]
quaint [AND] sleepy [IMPLY] smart [PERIOD]
victorious [AND] quaint [AND] modern [IMPLY] thoughtless [PERIOD]
smart [AND] pleasant [IMPLY] charming [PERIOD]
inexpensive [IMPLY] muddy [PERIOD]
cooperative [AND] dishonest [AND] smart [IMPLY] muddy [PERIOD]
cooperative [AND] inexpensive [IMPLY] sleepy [PERIOD]
wide-eyed [AND] dishonest [AND] ugliest [IMPLY] proud [PERIOD]
fragile [IMPLY] charming [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   Cannot apply rule “quaint ∧ charming ⇒ stormy” because missing: quaint, charming.
   Cannot apply rule “fragile ∧ quaint ⇒ stormy” because missing: fragile, quaint.
",0,2
"Facts:  Alice is hurt [PERIOD]
Rules:
versatile [AND] beautiful [AND] hurt [IMPLY] ugliest [PERIOD]
wandering [AND] popular [AND] stupid [IMPLY] beautiful [PERIOD]
talkative [AND] beautiful [IMPLY] silly [PERIOD]
modern [IMPLY] versatile [PERIOD]
versatile [AND] beautiful [AND] ugliest [IMPLY] mysterious [PERIOD]
mysterious [AND] hurt [AND] modern [IMPLY] beautiful [PERIOD]
versatile [AND] outrageous [IMPLY] wandering [PERIOD]
popular [IMPLY] versatile [PERIOD]
mysterious [IMPLY] versatile [PERIOD]
versatile [AND] outrageous [IMPLY] modern [PERIOD]
talkative [IMPLY] beautiful [PERIOD]
popular [AND] mysterious [AND] beautiful [IMPLY] wandering [PERIOD]
alert [AND] outrageous [IMPLY] modern [PERIOD]
beautiful [IMPLY] alert [PERIOD]
alert [AND] talkative [IMPLY] popular [PERIOD]
beautiful [AND] alert [AND] stupid [IMPLY] modern [PERIOD]
stupid [AND] popular [AND] beautiful [IMPLY] wandering [PERIOD]
mysterious [AND] outrageous [AND] silly [IMPLY] alert [PERIOD]
popular [AND] ugliest [AND] versatile [IMPLY] alert [PERIOD]
stupid [IMPLY] popular [PERIOD]
hurt [AND] alert [AND] ugliest [IMPLY] modern [PERIOD]
silly [AND] inquisitive [IMPLY] beautiful [PERIOD]
beautiful [AND] alert [IMPLY] talkative [PERIOD]
modern [AND] hurt [AND] stupid [IMPLY] talkative [PERIOD]
beautiful [AND] talkative [IMPLY] stupid [PERIOD]
alert [AND] talkative [AND] wandering [IMPLY] hurt [PERIOD]
ugliest [AND] inquisitive [IMPLY] stupid [PERIOD]
alert [AND] inquisitive [IMPLY] silly [PERIOD]
alert [AND] silly [AND] ugliest [IMPLY] beautiful [PERIOD]
outrageous [AND] talkative [IMPLY] stupid [PERIOD]
silly [AND] alert [AND] wandering [IMPLY] inquisitive [PERIOD]
modern [IMPLY] inquisitive [PERIOD]
versatile [AND] modern [IMPLY] talkative [PERIOD]
alert [AND] modern [IMPLY] ugliest [PERIOD]
versatile [AND] inquisitive [IMPLY] mysterious [PERIOD]
inquisitive [AND] alert [AND] stupid [IMPLY] outrageous [PERIOD]
wandering [AND] hurt [AND] silly [IMPLY] versatile [PERIOD]
silly [AND] modern [AND] popular [IMPLY] stupid [PERIOD]
outrageous [IMPLY] stupid [PERIOD]
versatile [AND] mysterious [IMPLY] alert [PERIOD]
stupid [AND] talkative [AND] versatile [IMPLY] outrageous [PERIOD]
beautiful [AND] popular [IMPLY] silly [PERIOD]
modern [AND] alert [IMPLY] outrageous [PERIOD]
beautiful [AND] inquisitive [IMPLY] mysterious [PERIOD]
alert [IMPLY] popular [PERIOD]
inquisitive [AND] mysterious [IMPLY] stupid [PERIOD]
wandering [AND] alert [AND] silly [IMPLY] popular [PERIOD]
silly [AND] hurt [AND] alert [IMPLY] mysterious [PERIOD]
wandering [AND] hurt [IMPLY] beautiful [PERIOD]
stupid [IMPLY] beautiful [PERIOD]
modern [AND] mysterious [IMPLY] hurt [PERIOD]
hurt [IMPLY] silly [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   Cannot apply rule “beautiful ⇒ alert” because missing: beautiful.
   hurt ⇒ silly
   Cannot apply rule “mysterious ∧ outrageous ∧ silly ⇒ alert” because missing: mysterious, outrageous.
   Cannot apply rule “popular ∧ ugliest ∧ versatile ⇒ alert” because missing: popular, ugliest, versatile.
   Cannot apply rule “versatile ∧ mysterious ⇒ alert” because missing: versatile, mysterious.
",0,5
"Facts:  Alice is average [PERIOD] Alice is old-fashioned [PERIOD] Alice is thoughtful [PERIOD] Alice is long [PERIOD] Alice is hurt [PERIOD] Alice is lonely [PERIOD] Alice is thoughtless [PERIOD] Alice is horrible [PERIOD] Alice is ambitious [PERIOD] Alice is amused [PERIOD]
Rules:
good [AND] sincere [IMPLY] outstanding [PERIOD]
popular [AND] sincere [AND] blushing [IMPLY] outstanding [PERIOD]
hurt [IMPLY] lonely [PERIOD]
outstanding [AND] hurt [AND] amused [IMPLY] average [PERIOD]
ambitious [AND] modern [AND] nervous [IMPLY] old-fashioned [PERIOD]
amused [AND] long [AND] modern [IMPLY] blushing [PERIOD]
amused [AND] bossy [IMPLY] dishonest [PERIOD]
sincere [IMPLY] long [PERIOD]
thoughtless [IMPLY] ambitious [PERIOD]
horrible [AND] fine [AND] popular [IMPLY] amused [PERIOD]
fine [IMPLY] gleaming [PERIOD]
worrisome [AND] blushing [AND] old-fashioned [IMPLY] outstanding [PERIOD]
outstanding [AND] good [IMPLY] average [PERIOD]
popular [AND] calm [IMPLY] long [PERIOD]
fine [AND] lonely [AND] blushing [IMPLY] popular [PERIOD]
blushing [AND] calm [IMPLY] outstanding [PERIOD]
sincere [AND] worrisome [IMPLY] amused [PERIOD]
calm [AND] ambitious [IMPLY] hurt [PERIOD]
hurt [AND] popular [IMPLY] modern [PERIOD]
worrisome [AND] messy [IMPLY] amused [PERIOD]
lonely [AND] outstanding [AND] quaint [IMPLY] modern [PERIOD]
outstanding [AND] blushing [IMPLY] old-fashioned [PERIOD]
hurt [AND] horrible [AND] bossy [IMPLY] thoughtless [PERIOD]
bossy [AND] calm [IMPLY] messy [PERIOD]
amused [IMPLY] thoughtful [PERIOD]
popular [AND] messy [IMPLY] old-fashioned [PERIOD]
calm [IMPLY] ambitious [PERIOD]
bossy [IMPLY] fine [PERIOD]
good [AND] hurt [IMPLY] average [PERIOD]
sincere [AND] popular [IMPLY] outstanding [PERIOD]
old-fashioned [AND] worrisome [AND] anxious [IMPLY] calm [PERIOD]
lonely [AND] nervous [IMPLY] anxious [PERIOD]
messy [AND] horrible [IMPLY] average [PERIOD]
hurt [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] worrisome [PERIOD]
anxious [AND] thoughtless [AND] worrisome [IMPLY] blushing [PERIOD]
old-fashioned [AND] amused [IMPLY] gleaming [PERIOD]
thoughtless [AND] bossy [AND] worrisome [IMPLY] outstanding [PERIOD]
popular [AND] fine [IMPLY] good [PERIOD]
nervous [AND] quaint [AND] calm [IMPLY] long [PERIOD]
gleaming [IMPLY] hurt [PERIOD]
thoughtful [AND] nervous [IMPLY] ambitious [PERIOD]
lonely [IMPLY] thoughtful [PERIOD]
ambitious [AND] old-fashioned [IMPLY] gleaming [PERIOD]
dishonest [AND] messy [IMPLY] old-fashioned [PERIOD]
modern [AND] old-fashioned [AND] thoughtful [IMPLY] fine [PERIOD]
gleaming [AND] long [IMPLY] worrisome [PERIOD]
hurt [AND] anxious [AND] outstanding [IMPLY] long [PERIOD]
worrisome [AND] popular [AND] messy [IMPLY] amused [PERIOD]
good [AND] thoughtless [AND] anxious [IMPLY] blushing [PERIOD]
nervous [IMPLY] ambitious [PERIOD]
nervous [AND] quaint [IMPLY] sincere [PERIOD]
outstanding [AND] thoughtless [AND] fine [IMPLY] worrisome [PERIOD]
anxious [IMPLY] good [PERIOD]
anxious [AND] long [AND] thoughtless [IMPLY] popular [PERIOD]
lonely [IMPLY] anxious [PERIOD]
gleaming [IMPLY] thoughtful [PERIOD]
average [AND] quaint [AND] good [IMPLY] dishonest [PERIOD]
sincere [IMPLY] nervous [PERIOD]
bossy [IMPLY] hurt [PERIOD]
lonely [AND] good [AND] modern [IMPLY] thoughtless [PERIOD]
sincere [IMPLY] average [PERIOD]
bossy [AND] long [AND] calm [IMPLY] thoughtless [PERIOD]
blushing [AND] good [IMPLY] bossy [PERIOD]
average [AND] long [IMPLY] nervous [PERIOD]
outstanding [AND] messy [AND] ambitious [IMPLY] worrisome [PERIOD]
amused [AND] hurt [IMPLY] sincere [PERIOD]
outstanding [IMPLY] thoughtful [PERIOD]
thoughtful [AND] horrible [IMPLY] average [PERIOD]
good [AND] gleaming [AND] lonely [IMPLY] fine [PERIOD]
modern [AND] gleaming [AND] average [IMPLY] bossy [PERIOD]
anxious [IMPLY] modern [PERIOD]
calm [AND] popular [IMPLY] hurt [PERIOD]
old-fashioned [AND] average [IMPLY] dishonest [PERIOD]
horrible [AND] anxious [AND] long [IMPLY] thoughtless [PERIOD]
gleaming [IMPLY] lonely [PERIOD]
horrible [AND] thoughtful [AND] worrisome [IMPLY] long [PERIOD]
amused [AND] modern [IMPLY] fine [PERIOD]
long [AND] blushing [IMPLY] dishonest [PERIOD]
ambitious [IMPLY] old-fashioned [PERIOD]
amused [AND] thoughtful [IMPLY] horrible [PERIOD]
fine [AND] quaint [IMPLY] outstanding [PERIOD]
dishonest [AND] modern [IMPLY] long [PERIOD]
bossy [IMPLY] messy [PERIOD]
sincere [AND] quaint [IMPLY] thoughtful [PERIOD]
anxious [AND] old-fashioned [AND] outstanding [IMPLY] average [PERIOD]
lonely [AND] popular [AND] calm [IMPLY] fine [PERIOD]
average [IMPLY] old-fashioned [PERIOD]
fine [IMPLY] blushing [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   ambitious ⇒ worrisome
   lonely ⇒ anxious
   old-fashioned ∧ worrisome ∧ anxious ⇒ calm
",1,3
"Facts:  Alice is bad-tempered [PERIOD] Alice is loving [PERIOD]
Rules:
curious [AND] innocent [AND] scared [IMPLY] loving [PERIOD]
broad-minded [AND] innocent [AND] loving [IMPLY] bad-tempered [PERIOD]
broad-minded [AND] curious [AND] loving [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] innocent [AND] loving [IMPLY] scared [PERIOD]
scared [AND] mean [AND] curious [IMPLY] bad-tempered [PERIOD]
broad-minded [AND] curious [IMPLY] bad-tempered [PERIOD]
mean [AND] bad-tempered [AND] scared [IMPLY] curious [PERIOD]
bad-tempered [AND] curious [IMPLY] loving [PERIOD]
mean [AND] innocent [AND] loving [IMPLY] curious [PERIOD]
scared [AND] broad-minded [IMPLY] mean [PERIOD]
curious [AND] innocent [IMPLY] mean [PERIOD]
scared [AND] bad-tempered [AND] loving [IMPLY] mean [PERIOD]
loving [AND] broad-minded [AND] innocent [IMPLY] curious [PERIOD]
scared [AND] innocent [IMPLY] broad-minded [PERIOD]
loving [AND] scared [AND] bad-tempered [IMPLY] curious [PERIOD]
loving [IMPLY] curious [PERIOD]
loving [IMPLY] scared [PERIOD]
scared [AND] innocent [AND] bad-tempered [IMPLY] mean [PERIOD]
curious [AND] loving [IMPLY] scared [PERIOD]
innocent [IMPLY] mean [PERIOD]
innocent [AND] scared [AND] mean [IMPLY] broad-minded [PERIOD]
scared [AND] loving [IMPLY] curious [PERIOD]
innocent [AND] broad-minded [IMPLY] loving [PERIOD]
mean [AND] innocent [IMPLY] curious [PERIOD]
loving [AND] mean [AND] broad-minded [IMPLY] bad-tempered [PERIOD]
innocent [IMPLY] broad-minded [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   loving ⇒ scared
   Cannot apply rule “scared ∧ innocent ⇒ broad-minded” because missing: innocent.
   loving ⇒ scared
   loving ⇒ scared
   scared ∧ bad-tempered ∧ loving ⇒ mean
   Cannot apply rule “innocent ∧ scared ∧ mean ⇒ broad-minded” because missing: innocent.
   Cannot apply rule “innocent ⇒ broad-minded” because missing: innocent.
",0,7
"Facts:  Alice is fine [PERIOD] Alice is powerful [PERIOD] Alice is frail [PERIOD]
Rules:
courageous [AND] bored [IMPLY] easy [PERIOD]
powerful [IMPLY] impartial [PERIOD]
bored [IMPLY] impartial [PERIOD]
powerful [IMPLY] worried [PERIOD]
fine [IMPLY] frail [PERIOD]
diplomatic [IMPLY] fancy [PERIOD]
bright [AND] bored [IMPLY] courageous [PERIOD]
diplomatic [AND] bored [IMPLY] worried [PERIOD]
fine [IMPLY] silly [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   powerful ⇒ impartial
",1,1
"Facts:  Alice is condemned [PERIOD]
Rules:
blushing [IMPLY] naughty [PERIOD]
blushing [AND] helpless [AND] wandering [IMPLY] gorgeous [PERIOD]
hurt [AND] condemned [IMPLY] shy [PERIOD]
gorgeous [AND] blushing [IMPLY] condemned [PERIOD]
lucky [AND] wandering [IMPLY] gorgeous [PERIOD]
combative [AND] condemned [AND] hurt [IMPLY] helpless [PERIOD]
sensible [IMPLY] lucky [PERIOD]
sensible [AND] helpless [IMPLY] condemned [PERIOD]
shy [IMPLY] condemned [PERIOD]
sensible [AND] vivacious [IMPLY] wandering [PERIOD]
blushing [AND] naughty [AND] sensible [IMPLY] combative [PERIOD]
blushing [AND] helpless [AND] combative [IMPLY] shy [PERIOD]
helpless [AND] condemned [IMPLY] gorgeous [PERIOD]
gorgeous [AND] wandering [AND] combative [IMPLY] naughty [PERIOD]
helpless [AND] condemned [AND] vivacious [IMPLY] gorgeous [PERIOD]
wandering [AND] lucky [AND] sensible [IMPLY] shy [PERIOD]
gorgeous [AND] combative [AND] sensible [IMPLY] wandering [PERIOD]
shy [AND] naughty [IMPLY] sensible [PERIOD]
shy [AND] hurt [IMPLY] sensible [PERIOD]
wandering [AND] helpless [AND] condemned [IMPLY] blushing [PERIOD]
blushing [AND] lucky [AND] hurt [IMPLY] sensible [PERIOD]
wandering [AND] sensible [IMPLY] condemned [PERIOD]
naughty [AND] lucky [IMPLY] helpless [PERIOD]
blushing [AND] wandering [IMPLY] naughty [PERIOD]
shy [IMPLY] lucky [PERIOD]
hurt [AND] naughty [IMPLY] shy [PERIOD]
helpless [IMPLY] wandering [PERIOD]
naughty [AND] helpless [IMPLY] combative [PERIOD]
condemned [AND] shy [IMPLY] helpless [PERIOD]
helpless [IMPLY] blushing [PERIOD]
blushing [IMPLY] gorgeous [PERIOD]
vivacious [AND] naughty [IMPLY] wandering [PERIOD]
lucky [IMPLY] wandering [PERIOD]
shy [AND] wandering [IMPLY] naughty [PERIOD]
wandering [AND] gorgeous [IMPLY] sensible [PERIOD]
vivacious [AND] blushing [AND] hurt [IMPLY] shy [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   Cannot apply rule “shy ∧ naughty ⇒ sensible” because missing: shy, naughty.
   Cannot apply rule “shy ∧ hurt ⇒ sensible” because missing: shy, hurt.
   Cannot apply rule “blushing ∧ lucky ∧ hurt ⇒ sensible” because missing: blushing, lucky, hurt.
   Cannot apply rule “wandering ∧ gorgeous ⇒ sensible” because missing: wandering, gorgeous.
",0,4
"Facts:  Alice is bored [PERIOD] Alice is impatient [PERIOD] Alice is blushing [PERIOD] Alice is lucky [PERIOD]
Rules:
inexpensive [IMPLY] clumsy [PERIOD]
clumsy [AND] gleaming [AND] ugly [IMPLY] bored [PERIOD]
tired [IMPLY] messy [PERIOD]
sensible [AND] gleaming [IMPLY] broad-minded [PERIOD]
rude [AND] gleaming [IMPLY] muddy [PERIOD]
ugly [IMPLY] charming [PERIOD]
inexpensive [AND] broad-minded [AND] lucky [IMPLY] sensible [PERIOD]
broad-minded [AND] bored [AND] clumsy [IMPLY] sensible [PERIOD]
blushing [IMPLY] zealous [PERIOD]
muddy [AND] zealous [IMPLY] inexpensive [PERIOD]
disgusted [IMPLY] messy [PERIOD]
tired [AND] broad-minded [IMPLY] charming [PERIOD]
rude [AND] zealous [IMPLY] inexpensive [PERIOD]
rude [AND] inexpensive [IMPLY] lucky [PERIOD]
rude [IMPLY] clumsy [PERIOD]
sensible [AND] rude [AND] messy [IMPLY] sleepy [PERIOD]
clumsy [AND] tired [IMPLY] ugly [PERIOD]
charming [IMPLY] broad-minded [PERIOD]
inexpensive [IMPLY] ugly [PERIOD]
gleaming [IMPLY] messy [PERIOD]
inexpensive [IMPLY] excited [PERIOD]
messy [IMPLY] inexpensive [PERIOD]
charming [AND] clumsy [IMPLY] bored [PERIOD]
broad-minded [AND] clumsy [IMPLY] inexpensive [PERIOD]
sleepy [IMPLY] gleaming [PERIOD]
messy [AND] rude [AND] inexpensive [IMPLY] zealous [PERIOD]
sleepy [IMPLY] lucky [PERIOD]
zealous [AND] charming [AND] impatient [IMPLY] bored [PERIOD]
messy [AND] blushing [IMPLY] charming [PERIOD]
inexpensive [IMPLY] blushing [PERIOD]
disgusted [AND] tired [AND] lucky [IMPLY] clumsy [PERIOD]
sensible [IMPLY] ugly [PERIOD]
tired [AND] disgusted [AND] inexpensive [IMPLY] ugly [PERIOD]
blushing [AND] sensible [IMPLY] sleepy [PERIOD]
charming [AND] bored [IMPLY] clumsy [PERIOD]
blushing [AND] impatient [IMPLY] rude [PERIOD]
inexpensive [AND] sleepy [AND] sensible [IMPLY] messy [PERIOD]
rude [AND] gleaming [AND] muddy [IMPLY] clumsy [PERIOD]
tired [IMPLY] charming [PERIOD]
tired [IMPLY] ugly [PERIOD]
broad-minded [IMPLY] ugly [PERIOD]
charming [IMPLY] inexpensive [PERIOD]
clumsy [AND] zealous [AND] gleaming [IMPLY] sensible [PERIOD]
clumsy [IMPLY] lucky [PERIOD]
clumsy [IMPLY] sensible [PERIOD]
muddy [AND] gleaming [IMPLY] broad-minded [PERIOD]
impatient [IMPLY] blushing [PERIOD]
disgusted [AND] zealous [AND] impatient [IMPLY] broad-minded [PERIOD]
tired [AND] impatient [IMPLY] ugly [PERIOD]
bored [AND] sensible [AND] ugly [IMPLY] muddy [PERIOD]
charming [IMPLY] clumsy [PERIOD]
sensible [AND] sleepy [IMPLY] tired [PERIOD]
messy [AND] disgusted [IMPLY] impatient [PERIOD]
Query: Alice is clumsy [PERIOD]","Proof chain:
   blushing ∧ impatient ⇒ rude
   rude ⇒ clumsy
",1,2
"Facts:  Alice is elated [PERIOD] Alice is anxious [PERIOD]
Rules:
anxious [AND] cute [AND] blushing [IMPLY] foolish [PERIOD]
foolish [IMPLY] anxious [PERIOD]
elated [IMPLY] outstanding [PERIOD]
outstanding [AND] anxious [IMPLY] polite [PERIOD]
outstanding [IMPLY] anxious [PERIOD]
elated [IMPLY] foolish [PERIOD]
foolish [AND] blushing [AND] outstanding [IMPLY] bright [PERIOD]
foolish [AND] anxious [AND] blushing [IMPLY] polite [PERIOD]
cute [AND] anxious [AND] elated [IMPLY] polite [PERIOD]
blushing [AND] polite [AND] foolish [IMPLY] outstanding [PERIOD]
blushing [AND] outstanding [IMPLY] elated [PERIOD]
outstanding [IMPLY] elated [PERIOD]
blushing [IMPLY] anxious [PERIOD]
anxious [AND] blushing [AND] bright [IMPLY] cute [PERIOD]
blushing [AND] elated [AND] outstanding [IMPLY] bright [PERIOD]
cute [AND] bright [AND] outstanding [IMPLY] foolish [PERIOD]
cute [IMPLY] outstanding [PERIOD]
polite [AND] blushing [AND] bright [IMPLY] outstanding [PERIOD]
foolish [IMPLY] elated [PERIOD]
polite [IMPLY] foolish [PERIOD]
cute [AND] elated [AND] polite [IMPLY] bright [PERIOD]
bright [AND] elated [IMPLY] foolish [PERIOD]
foolish [AND] elated [IMPLY] blushing [PERIOD]
polite [IMPLY] anxious [PERIOD]
anxious [AND] elated [IMPLY] outstanding [PERIOD]
elated [AND] foolish [AND] outstanding [IMPLY] bright [PERIOD]
blushing [IMPLY] polite [PERIOD]
polite [IMPLY] outstanding [PERIOD]
elated [AND] blushing [IMPLY] bright [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   elated ⇒ foolish
   foolish ∧ elated ⇒ blushing
   elated ⇒ foolish
   elated ⇒ outstanding
   elated ∧ foolish ∧ outstanding ⇒ bright
   anxious ∧ blushing ∧ bright ⇒ cute
",1,6
"Facts:  Alice is silly [PERIOD] Alice is helpless [PERIOD]
Rules:
helpful [AND] bored [IMPLY] attentive [PERIOD]
charming [AND] bored [IMPLY] silly [PERIOD]
helpful [AND] mean [IMPLY] careless [PERIOD]
foolish [AND] curious [AND] mean [IMPLY] careless [PERIOD]
silly [IMPLY] charming [PERIOD]
curious [AND] attentive [AND] foolish [IMPLY] bored [PERIOD]
bored [AND] helpless [AND] attentive [IMPLY] foolish [PERIOD]
helpless [AND] helpful [AND] bored [IMPLY] foolish [PERIOD]
charming [AND] helpful [IMPLY] bored [PERIOD]
foolish [AND] helpless [AND] charming [IMPLY] mean [PERIOD]
attentive [AND] curious [AND] helpless [IMPLY] foolish [PERIOD]
charming [AND] curious [IMPLY] bored [PERIOD]
attentive [AND] helpful [IMPLY] silly [PERIOD]
charming [AND] attentive [AND] silly [IMPLY] bored [PERIOD]
silly [IMPLY] curious [PERIOD]
careless [AND] silly [IMPLY] helpful [PERIOD]
attentive [AND] foolish [IMPLY] charming [PERIOD]
charming [AND] mean [IMPLY] curious [PERIOD]
careless [AND] bored [IMPLY] charming [PERIOD]
bored [AND] charming [IMPLY] helpful [PERIOD]
attentive [AND] helpless [AND] foolish [IMPLY] careless [PERIOD]
helpful [IMPLY] mean [PERIOD]
helpless [IMPLY] attentive [PERIOD]
bored [AND] careless [AND] curious [IMPLY] helpless [PERIOD]
bored [AND] foolish [AND] silly [IMPLY] mean [PERIOD]
helpful [IMPLY] silly [PERIOD]
attentive [AND] bored [IMPLY] silly [PERIOD]
bored [AND] curious [AND] silly [IMPLY] helpless [PERIOD]
foolish [IMPLY] bored [PERIOD]
curious [AND] silly [AND] attentive [IMPLY] bored [PERIOD]
careless [AND] silly [IMPLY] mean [PERIOD]
careless [AND] foolish [IMPLY] helpful [PERIOD]
foolish [AND] careless [IMPLY] bored [PERIOD]
attentive [AND] bored [AND] careless [IMPLY] helpful [PERIOD]
silly [AND] attentive [AND] bored [IMPLY] careless [PERIOD]
helpful [AND] charming [AND] curious [IMPLY] helpless [PERIOD]
bored [IMPLY] helpful [PERIOD]
careless [AND] mean [AND] helpless [IMPLY] charming [PERIOD]
attentive [AND] careless [AND] mean [IMPLY] silly [PERIOD]
Query: Alice is helpful [PERIOD]","Proof chain:
   silly ⇒ charming
   helpless ⇒ attentive
   charming ∧ attentive ∧ silly ⇒ bored
   silly ⇒ charming
   bored ∧ charming ⇒ helpful
",1,5
"Facts:  Alice is tender [PERIOD] Alice is ugliest [PERIOD] Alice is tidy [PERIOD] Alice is embarrassed [PERIOD] Alice is proud [PERIOD] Alice is quaint [PERIOD] Alice is modern [PERIOD] Alice is elegant [PERIOD] Alice is confident [PERIOD] Alice is combative [PERIOD] Alice is grumpy [PERIOD] Alice is friendly [PERIOD] Alice is shiny [PERIOD] Alice is shy [PERIOD] Alice is sincere [PERIOD] Alice is fine [PERIOD] Alice is aggressive [PERIOD] Alice is impartial [PERIOD]
Rules:
tidy [AND] grumpy [AND] intellectual [IMPLY] calm [PERIOD]
messy [AND] combative [AND] different [IMPLY] bossy [PERIOD]
blushing [IMPLY] modern [PERIOD]
clumsy [IMPLY] aggressive [PERIOD]
friendly [IMPLY] shiny [PERIOD]
ugliest [AND] calm [IMPLY] tender [PERIOD]
sincere [AND] embarrassed [IMPLY] shiny [PERIOD]
confident [AND] shiny [IMPLY] tidy [PERIOD]
tidy [IMPLY] messy [PERIOD]
fine [AND] clumsy [AND] aggressive [IMPLY] ugliest [PERIOD]
embarrassed [AND] grumpy [AND] anxious [IMPLY] confident [PERIOD]
messy [AND] tender [AND] tidy [IMPLY] blushing [PERIOD]
tidy [AND] embarrassed [AND] confident [IMPLY] intellectual [PERIOD]
friendly [AND] different [IMPLY] anxious [PERIOD]
blushing [AND] ugliest [AND] tender [IMPLY] intellectual [PERIOD]
messy [AND] fine [AND] tidy [IMPLY] friendly [PERIOD]
messy [AND] combative [AND] quaint [IMPLY] modern [PERIOD]
modern [AND] fine [IMPLY] grumpy [PERIOD]
friendly [AND] clumsy [IMPLY] quaint [PERIOD]
embarrassed [AND] elegant [AND] worried [IMPLY] anxious [PERIOD]
embarrassed [IMPLY] blushing [PERIOD]
modern [IMPLY] intellectual [PERIOD]
quaint [AND] shy [IMPLY] fine [PERIOD]
intellectual [IMPLY] shy [PERIOD]
grumpy [AND] fine [AND] modern [IMPLY] clumsy [PERIOD]
combative [IMPLY] bossy [PERIOD]
bossy [AND] blushing [IMPLY] modern [PERIOD]
worried [AND] messy [AND] tender [IMPLY] intellectual [PERIOD]
friendly [AND] tender [IMPLY] worried [PERIOD]
shiny [IMPLY] different [PERIOD]
shiny [IMPLY] proud [PERIOD]
tender [AND] quaint [IMPLY] grumpy [PERIOD]
impartial [AND] anxious [AND] blushing [IMPLY] shiny [PERIOD]
confident [IMPLY] modern [PERIOD]
fine [AND] tidy [IMPLY] grumpy [PERIOD]
elegant [AND] sincere [IMPLY] messy [PERIOD]
ugliest [AND] intellectual [IMPLY] combative [PERIOD]
messy [AND] worried [AND] intellectual [IMPLY] shy [PERIOD]
calm [AND] elegant [IMPLY] quaint [PERIOD]
different [AND] proud [AND] aggressive [IMPLY] friendly [PERIOD]
ugliest [AND] different [AND] anxious [IMPLY] tender [PERIOD]
anxious [IMPLY] combative [PERIOD]
shy [AND] clumsy [IMPLY] confident [PERIOD]
impartial [AND] combative [IMPLY] different [PERIOD]
friendly [AND] bossy [IMPLY] modern [PERIOD]
fine [AND] grumpy [IMPLY] clumsy [PERIOD]
messy [AND] clumsy [AND] combative [IMPLY] sincere [PERIOD]
friendly [IMPLY] shy [PERIOD]
fine [AND] different [AND] anxious [IMPLY] confident [PERIOD]
combative [AND] grumpy [IMPLY] embarrassed [PERIOD]
tender [AND] worried [IMPLY] sincere [PERIOD]
sincere [AND] bossy [IMPLY] ugliest [PERIOD]
different [IMPLY] messy [PERIOD]
sincere [AND] modern [AND] embarrassed [IMPLY] different [PERIOD]
anxious [AND] worried [IMPLY] fine [PERIOD]
messy [AND] worried [IMPLY] clumsy [PERIOD]
quaint [IMPLY] impartial [PERIOD]
embarrassed [AND] bossy [AND] ugliest [IMPLY] calm [PERIOD]
confident [IMPLY] grumpy [PERIOD]
friendly [AND] embarrassed [AND] aggressive [IMPLY] bossy [PERIOD]
bossy [AND] anxious [IMPLY] embarrassed [PERIOD]
calm [AND] bossy [IMPLY] grumpy [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   combative ⇒ bossy
   embarrassed ∧ bossy ∧ ugliest ⇒ calm
",1,2
"Facts:  Alice is frantic [PERIOD] Alice is scared [PERIOD] Alice is polite [PERIOD] Alice is stormy [PERIOD]
Rules:
amused [AND] comfortable [AND] stormy [IMPLY] rational [PERIOD]
comfortable [AND] polite [AND] stormy [IMPLY] smart [PERIOD]
polite [AND] smart [IMPLY] comfortable [PERIOD]
amused [AND] polite [IMPLY] stormy [PERIOD]
polite [AND] rational [AND] amused [IMPLY] stormy [PERIOD]
amused [AND] rational [AND] smart [IMPLY] scared [PERIOD]
scared [AND] smart [AND] rational [IMPLY] amused [PERIOD]
rational [AND] stormy [AND] scared [IMPLY] polite [PERIOD]
stormy [AND] amused [IMPLY] polite [PERIOD]
scared [AND] rational [IMPLY] polite [PERIOD]
polite [IMPLY] stormy [PERIOD]
polite [AND] stormy [AND] frantic [IMPLY] rational [PERIOD]
smart [IMPLY] stormy [PERIOD]
amused [AND] stormy [AND] smart [IMPLY] polite [PERIOD]
rational [AND] amused [IMPLY] smart [PERIOD]
polite [AND] rational [IMPLY] frantic [PERIOD]
amused [AND] rational [IMPLY] scared [PERIOD]
stormy [AND] comfortable [IMPLY] polite [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   polite ∧ stormy ∧ frantic ⇒ rational
",1,1
"Facts: 
Rules:
thoughtless [IMPLY] fearless [PERIOD]
thoughtless [AND] fearless [AND] powerful [IMPLY] distinct [PERIOD]
lonely [IMPLY] thoughtless [PERIOD]
lonely [AND] attractive [IMPLY] fearless [PERIOD]
lonely [IMPLY] hurt [PERIOD]
mean [IMPLY] distinct [PERIOD]
thoughtless [AND] powerful [IMPLY] lonely [PERIOD]
hurt [IMPLY] fearless [PERIOD]
lonely [AND] fearless [AND] hurt [IMPLY] powerful [PERIOD]
fearless [AND] thoughtless [IMPLY] powerful [PERIOD]
hurt [AND] thoughtless [IMPLY] distinct [PERIOD]
hurt [AND] distinct [IMPLY] mean [PERIOD]
thoughtless [AND] mean [AND] powerful [IMPLY] distinct [PERIOD]
powerful [AND] attractive [AND] distinct [IMPLY] lonely [PERIOD]
powerful [AND] lonely [AND] hurt [IMPLY] mean [PERIOD]
fearless [AND] thoughtless [IMPLY] distinct [PERIOD]
mean [AND] fearless [IMPLY] powerful [PERIOD]
distinct [IMPLY] attractive [PERIOD]
lonely [AND] thoughtless [IMPLY] hurt [PERIOD]
lonely [AND] attractive [IMPLY] hurt [PERIOD]
powerful [AND] fearless [AND] hurt [IMPLY] lonely [PERIOD]
fearless [AND] powerful [AND] distinct [IMPLY] lonely [PERIOD]
hurt [IMPLY] powerful [PERIOD]
fearless [IMPLY] hurt [PERIOD]
distinct [AND] lonely [IMPLY] thoughtless [PERIOD]
lonely [IMPLY] fearless [PERIOD]
distinct [AND] attractive [AND] powerful [IMPLY] mean [PERIOD]
hurt [AND] lonely [AND] mean [IMPLY] fearless [PERIOD]
distinct [AND] attractive [AND] hurt [IMPLY] thoughtless [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
   Cannot apply rule “thoughtless ∧ powerful ⇒ lonely” because missing: thoughtless, powerful.
   Cannot apply rule “powerful ∧ attractive ∧ distinct ⇒ lonely” because missing: powerful, attractive, distinct.
   Cannot apply rule “powerful ∧ fearless ∧ hurt ⇒ lonely” because missing: powerful, fearless, hurt.
   Cannot apply rule “fearless ∧ powerful ∧ distinct ⇒ lonely” because missing: fearless, powerful, distinct.
",0,4
"Facts:  Alice is helpless [PERIOD] Alice is inquisitive [PERIOD] Alice is average [PERIOD] Alice is modern [PERIOD]
Rules:
average [AND] helpless [AND] mysterious [IMPLY] inquisitive [PERIOD]
cooperative [AND] helpless [AND] perfect [IMPLY] mysterious [PERIOD]
average [IMPLY] frail [PERIOD]
frantic [AND] mysterious [IMPLY] perfect [PERIOD]
cooperative [AND] mysterious [IMPLY] modern [PERIOD]
frail [AND] average [AND] mysterious [IMPLY] tidy [PERIOD]
perfect [AND] modern [IMPLY] tidy [PERIOD]
frantic [IMPLY] cooperative [PERIOD]
average [AND] frail [AND] tidy [IMPLY] inquisitive [PERIOD]
modern [AND] inquisitive [AND] cooperative [IMPLY] tidy [PERIOD]
mysterious [AND] frail [IMPLY] helpless [PERIOD]
frantic [AND] mysterious [AND] inquisitive [IMPLY] tidy [PERIOD]
cooperative [AND] helpless [IMPLY] mysterious [PERIOD]
modern [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] average [PERIOD]
inquisitive [AND] frail [AND] modern [IMPLY] frantic [PERIOD]
mysterious [IMPLY] modern [PERIOD]
cooperative [AND] average [AND] inquisitive [IMPLY] modern [PERIOD]
inquisitive [AND] cooperative [IMPLY] tidy [PERIOD]
perfect [IMPLY] cooperative [PERIOD]
tidy [AND] helpless [IMPLY] cooperative [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   average ⇒ frail
   inquisitive ∧ frail ∧ modern ⇒ frantic
   average ⇒ frail
   inquisitive ∧ frail ∧ modern ⇒ frantic
   frantic ⇒ cooperative
   cooperative ∧ helpless ⇒ mysterious
   frantic ∧ mysterious ⇒ perfect
",1,7
"Facts:  Alice is long [PERIOD] Alice is smart [PERIOD]
Rules:
witty [AND] adorable [AND] inexpensive [IMPLY] troubled [PERIOD]
mysterious [AND] light [IMPLY] adorable [PERIOD]
naughty [AND] loving [IMPLY] lonely [PERIOD]
mysterious [AND] smart [AND] troubled [IMPLY] thoughtful [PERIOD]
confused [AND] naughty [AND] dishonest [IMPLY] plain [PERIOD]
helpless [AND] troubled [IMPLY] witty [PERIOD]
helpless [AND] thoughtful [AND] aggressive [IMPLY] famous [PERIOD]
aggressive [AND] comfortable [IMPLY] lonely [PERIOD]
helpless [AND] light [AND] aggressive [IMPLY] horrible [PERIOD]
troubled [IMPLY] aggressive [PERIOD]
comfortable [AND] naughty [IMPLY] glamorous [PERIOD]
horrible [AND] thoughtful [IMPLY] glamorous [PERIOD]
inexpensive [IMPLY] plain [PERIOD]
troubled [AND] wide-eyed [AND] aggressive [IMPLY] comfortable [PERIOD]
loving [AND] aggressive [IMPLY] mysterious [PERIOD]
long [AND] mysterious [IMPLY] ugliest [PERIOD]
famous [IMPLY] troubled [PERIOD]
comfortable [IMPLY] witty [PERIOD]
glamorous [AND] confused [AND] long [IMPLY] dishonest [PERIOD]
loving [IMPLY] helpless [PERIOD]
smart [AND] long [IMPLY] helpless [PERIOD]
helpless [IMPLY] loving [PERIOD]
long [IMPLY] witty [PERIOD]
troubled [AND] confused [IMPLY] dishonest [PERIOD]
smart [AND] witty [AND] glamorous [IMPLY] helpless [PERIOD]
comfortable [IMPLY] lonely [PERIOD]
aggressive [IMPLY] dishonest [PERIOD]
plain [AND] comfortable [AND] lonely [IMPLY] smart [PERIOD]
wide-eyed [AND] troubled [AND] helpless [IMPLY] plain [PERIOD]
wide-eyed [AND] loving [IMPLY] witty [PERIOD]
adorable [AND] famous [IMPLY] dishonest [PERIOD]
adorable [IMPLY] troubled [PERIOD]
smart [AND] lonely [IMPLY] naughty [PERIOD]
mysterious [AND] light [AND] troubled [IMPLY] dishonest [PERIOD]
inexpensive [AND] comfortable [IMPLY] plain [PERIOD]
lonely [AND] loving [AND] naughty [IMPLY] thoughtful [PERIOD]
comfortable [AND] glamorous [AND] adorable [IMPLY] confused [PERIOD]
comfortable [IMPLY] adorable [PERIOD]
adorable [AND] light [AND] long [IMPLY] famous [PERIOD]
mysterious [AND] thoughtful [IMPLY] light [PERIOD]
ugliest [AND] aggressive [AND] dishonest [IMPLY] famous [PERIOD]
troubled [AND] dishonest [IMPLY] loving [PERIOD]
witty [AND] thoughtful [AND] long [IMPLY] helpless [PERIOD]
helpless [AND] naughty [IMPLY] mysterious [PERIOD]
ugliest [IMPLY] adorable [PERIOD]
horrible [AND] aggressive [IMPLY] loving [PERIOD]
long [IMPLY] comfortable [PERIOD]
famous [IMPLY] glamorous [PERIOD]
troubled [AND] naughty [AND] mysterious [IMPLY] ugliest [PERIOD]
witty [AND] thoughtful [AND] glamorous [IMPLY] adorable [PERIOD]
thoughtful [IMPLY] adorable [PERIOD]
glamorous [AND] thoughtful [IMPLY] wide-eyed [PERIOD]
inexpensive [AND] famous [AND] wide-eyed [IMPLY] lonely [PERIOD]
dishonest [AND] loving [IMPLY] thoughtful [PERIOD]
horrible [IMPLY] helpless [PERIOD]
mysterious [AND] troubled [AND] dishonest [IMPLY] confused [PERIOD]
aggressive [AND] famous [AND] inexpensive [IMPLY] glamorous [PERIOD]
dishonest [AND] troubled [AND] naughty [IMPLY] adorable [PERIOD]
troubled [IMPLY] plain [PERIOD]
light [IMPLY] long [PERIOD]
thoughtful [AND] long [AND] troubled [IMPLY] inexpensive [PERIOD]
mysterious [AND] aggressive [IMPLY] lonely [PERIOD]
loving [AND] glamorous [IMPLY] adorable [PERIOD]
lonely [AND] famous [IMPLY] mysterious [PERIOD]
plain [AND] witty [IMPLY] confused [PERIOD]
helpless [AND] adorable [AND] thoughtful [IMPLY] troubled [PERIOD]
light [IMPLY] aggressive [PERIOD]
lonely [IMPLY] adorable [PERIOD]
comfortable [AND] mysterious [AND] naughty [IMPLY] adorable [PERIOD]
confused [AND] adorable [IMPLY] lonely [PERIOD]
dishonest [IMPLY] confused [PERIOD]
long [AND] glamorous [AND] inexpensive [IMPLY] dishonest [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   long ⇒ comfortable
   comfortable ⇒ adorable
   adorable ⇒ troubled
   troubled ⇒ aggressive
   aggressive ⇒ dishonest
",1,5
"Facts:  Alice is beautiful [PERIOD] Alice is ambitious [PERIOD]
Rules:
difficult [AND] ambitious [AND] gleaming [IMPLY] beautiful [PERIOD]
popular [IMPLY] ambitious [PERIOD]
beautiful [AND] popular [IMPLY] busy [PERIOD]
thoughtless [IMPLY] gleaming [PERIOD]
thoughtless [AND] beautiful [AND] gleaming [IMPLY] busy [PERIOD]
difficult [IMPLY] thoughtless [PERIOD]
ambitious [AND] popular [IMPLY] difficult [PERIOD]
thoughtless [AND] beautiful [AND] popular [IMPLY] gleaming [PERIOD]
popular [AND] difficult [IMPLY] beautiful [PERIOD]
ambitious [IMPLY] beautiful [PERIOD]
gleaming [AND] busy [IMPLY] thoughtless [PERIOD]
gleaming [AND] busy [IMPLY] beautiful [PERIOD]
gleaming [IMPLY] difficult [PERIOD]
popular [AND] difficult [AND] beautiful [IMPLY] gleaming [PERIOD]
ambitious [AND] gleaming [IMPLY] thoughtless [PERIOD]
ambitious [IMPLY] thoughtless [PERIOD]
difficult [AND] thoughtless [AND] beautiful [IMPLY] busy [PERIOD]
busy [AND] thoughtless [AND] popular [IMPLY] ambitious [PERIOD]
ambitious [AND] busy [AND] popular [IMPLY] thoughtless [PERIOD]
beautiful [AND] busy [IMPLY] ambitious [PERIOD]
gleaming [AND] beautiful [AND] thoughtless [IMPLY] popular [PERIOD]
busy [AND] thoughtless [IMPLY] difficult [PERIOD]
busy [IMPLY] beautiful [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is embarrassed [PERIOD] Alice is stupid [PERIOD] Alice is joyous [PERIOD] Alice is tender [PERIOD] Alice is horrible [PERIOD] Alice is talkative [PERIOD] Alice is dull [PERIOD] Alice is outrageous [PERIOD] Alice is frantic [PERIOD] Alice is thoughtless [PERIOD] Alice is sincere [PERIOD] Alice is curious [PERIOD] Alice is bossy [PERIOD] Alice is thoughtful [PERIOD] Alice is gleaming [PERIOD] Alice is elegant [PERIOD] Alice is friendly [PERIOD] Alice is enchanting [PERIOD] Alice is blushing [PERIOD] Alice is long [PERIOD] Alice is nervous [PERIOD] Alice is old-fashioned [PERIOD] Alice is cute [PERIOD] Alice is scared [PERIOD] Alice is stubborn [PERIOD] Alice is jittery [PERIOD] Alice is polite [PERIOD]
Rules:
stubborn [AND] muddy [IMPLY] frantic [PERIOD]
horrible [AND] frantic [AND] blushing [IMPLY] old-fashioned [PERIOD]
stupid [IMPLY] thoughtless [PERIOD]
friendly [AND] sincere [IMPLY] talkative [PERIOD]
elegant [IMPLY] embarrassed [PERIOD]
enchanting [AND] stupid [IMPLY] outrageous [PERIOD]
long [IMPLY] thoughtless [PERIOD]
tender [AND] joyous [AND] muddy [IMPLY] friendly [PERIOD]
embarrassed [AND] gleaming [IMPLY] dull [PERIOD]
horrible [IMPLY] long [PERIOD]
Query: Alice is long [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
modern [AND] plain [IMPLY] dull [PERIOD]
dull [IMPLY] perfect [PERIOD]
perfect [IMPLY] joyous [PERIOD]
modern [AND] plain [AND] dull [IMPLY] joyous [PERIOD]
joyous [IMPLY] perfect [PERIOD]
modern [AND] perfect [AND] joyous [IMPLY] dull [PERIOD]
perfect [AND] modern [AND] plain [IMPLY] joyous [PERIOD]
dull [AND] joyous [AND] modern [IMPLY] perfect [PERIOD]
dull [AND] joyous [AND] plain [IMPLY] perfect [PERIOD]
perfect [AND] joyous [AND] dull [IMPLY] plain [PERIOD]
joyous [AND] perfect [AND] plain [IMPLY] modern [PERIOD]
modern [IMPLY] joyous [PERIOD]
dull [IMPLY] modern [PERIOD]
modern [AND] joyous [AND] perfect [IMPLY] plain [PERIOD]
plain [AND] joyous [AND] modern [IMPLY] perfect [PERIOD]
joyous [AND] perfect [IMPLY] dull [PERIOD]
dull [AND] plain [IMPLY] modern [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “dull ⇒ perfect” because missing: dull.
   Cannot apply rule “joyous ⇒ perfect” because missing: joyous.
   Cannot apply rule “dull ∧ joyous ∧ modern ⇒ perfect” because missing: dull, joyous, modern.
   Cannot apply rule “dull ∧ joyous ∧ plain ⇒ perfect” because missing: dull, joyous, plain.
   Cannot apply rule “plain ∧ joyous ∧ modern ⇒ perfect” because missing: plain, joyous, modern.
",0,5
"Facts:  Alice is exuberant [PERIOD]
Rules:
troubled [IMPLY] long [PERIOD]
spotless [AND] broad-minded [AND] charming [IMPLY] loving [PERIOD]
troubled [AND] amused [IMPLY] long [PERIOD]
amused [AND] fearless [IMPLY] charming [PERIOD]
long [AND] broad-minded [IMPLY] exuberant [PERIOD]
exuberant [AND] long [IMPLY] charming [PERIOD]
fearless [AND] loving [IMPLY] charming [PERIOD]
troubled [AND] gifted [AND] fearless [IMPLY] long [PERIOD]
broad-minded [AND] amused [AND] spotless [IMPLY] troubled [PERIOD]
exuberant [AND] broad-minded [IMPLY] charming [PERIOD]
exuberant [IMPLY] amused [PERIOD]
exuberant [IMPLY] spotless [PERIOD]
exuberant [IMPLY] gifted [PERIOD]
gifted [AND] amused [IMPLY] troubled [PERIOD]
loving [AND] broad-minded [AND] charming [IMPLY] long [PERIOD]
loving [IMPLY] gifted [PERIOD]
loving [AND] fearless [AND] exuberant [IMPLY] long [PERIOD]
fearless [AND] broad-minded [AND] loving [IMPLY] charming [PERIOD]
fearless [AND] gifted [IMPLY] amused [PERIOD]
gifted [IMPLY] exuberant [PERIOD]
fearless [AND] exuberant [AND] troubled [IMPLY] amused [PERIOD]
amused [IMPLY] exuberant [PERIOD]
fearless [IMPLY] long [PERIOD]
spotless [AND] amused [IMPLY] fearless [PERIOD]
amused [IMPLY] broad-minded [PERIOD]
troubled [IMPLY] amused [PERIOD]
amused [AND] charming [AND] troubled [IMPLY] spotless [PERIOD]
spotless [IMPLY] long [PERIOD]
charming [AND] long [AND] spotless [IMPLY] gifted [PERIOD]
spotless [AND] amused [IMPLY] exuberant [PERIOD]
amused [IMPLY] loving [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   exuberant ⇒ amused
   amused ⇒ loving
",1,2
"Facts:  Alice is spotless [PERIOD] Alice is cute [PERIOD] Alice is dishonest [PERIOD] Alice is witty [PERIOD]
Rules:
dishonest [IMPLY] gleaming [PERIOD]
gleaming [AND] modern [AND] spotless [IMPLY] attentive [PERIOD]
cruel [AND] cute [IMPLY] outstanding [PERIOD]
modern [AND] ugliest [IMPLY] confident [PERIOD]
spotless [IMPLY] confident [PERIOD]
ugliest [AND] gleaming [AND] outrageous [IMPLY] dishonest [PERIOD]
outstanding [AND] enchanting [AND] fragile [IMPLY] outrageous [PERIOD]
attentive [IMPLY] modern [PERIOD]
dishonest [AND] ugliest [IMPLY] spotless [PERIOD]
cute [AND] spotless [IMPLY] amused [PERIOD]
spotless [IMPLY] cute [PERIOD]
attentive [AND] outrageous [IMPLY] muddy [PERIOD]
dishonest [IMPLY] witty [PERIOD]
confident [AND] fragile [AND] modern [IMPLY] ugliest [PERIOD]
attentive [AND] fragile [AND] cruel [IMPLY] ugliest [PERIOD]
modern [AND] attentive [AND] amused [IMPLY] outstanding [PERIOD]
cruel [AND] modern [AND] dishonest [IMPLY] witty [PERIOD]
spotless [IMPLY] ugliest [PERIOD]
enchanting [IMPLY] witty [PERIOD]
cruel [AND] amused [IMPLY] muddy [PERIOD]
enchanting [AND] outstanding [AND] muddy [IMPLY] cute [PERIOD]
muddy [AND] ugliest [IMPLY] attentive [PERIOD]
modern [AND] outrageous [AND] dishonest [IMPLY] muddy [PERIOD]
fragile [IMPLY] muddy [PERIOD]
cute [AND] modern [AND] outrageous [IMPLY] enchanting [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is beautiful [PERIOD]
Rules:
vivacious [IMPLY] confused [PERIOD]
sincere [AND] lucky [IMPLY] innocent [PERIOD]
beautiful [AND] cute [IMPLY] outstanding [PERIOD]
adorable [IMPLY] elated [PERIOD]
cute [AND] beautiful [IMPLY] confused [PERIOD]
fragile [IMPLY] adorable [PERIOD]
sensible [AND] victorious [IMPLY] homely [PERIOD]
messy [IMPLY] confident [PERIOD]
lucky [IMPLY] uptight [PERIOD]
nervous [AND] frail [AND] homely [IMPLY] beautiful [PERIOD]
curious [IMPLY] fragile [PERIOD]
fragile [IMPLY] curious [PERIOD]
frail [AND] lucky [AND] confused [IMPLY] cute [PERIOD]
vivacious [AND] homely [AND] messy [IMPLY] innocent [PERIOD]
innocent [AND] sensible [IMPLY] zealous [PERIOD]
troubled [AND] vivacious [IMPLY] confused [PERIOD]
outstanding [AND] confident [IMPLY] messy [PERIOD]
outstanding [IMPLY] messy [PERIOD]
victorious [IMPLY] cute [PERIOD]
fragile [AND] uptight [AND] adorable [IMPLY] elated [PERIOD]
uptight [IMPLY] curious [PERIOD]
pleasant [AND] innocent [IMPLY] messy [PERIOD]
confused [IMPLY] troubled [PERIOD]
elated [IMPLY] vivacious [PERIOD]
vivacious [AND] sincere [IMPLY] beautiful [PERIOD]
innocent [IMPLY] curious [PERIOD]
messy [AND] outstanding [AND] sensible [IMPLY] homely [PERIOD]
adorable [IMPLY] outstanding [PERIOD]
frail [AND] sincere [AND] outstanding [IMPLY] confident [PERIOD]
vivacious [AND] zealous [AND] strange [IMPLY] homely [PERIOD]
messy [AND] pleasant [AND] innocent [IMPLY] troubled [PERIOD]
pleasant [IMPLY] confident [PERIOD]
uptight [AND] beautiful [IMPLY] confused [PERIOD]
cute [AND] nervous [AND] zealous [IMPLY] curious [PERIOD]
cute [AND] zealous [IMPLY] pleasant [PERIOD]
curious [AND] confident [AND] fragile [IMPLY] sensible [PERIOD]
lucky [AND] elated [AND] pleasant [IMPLY] innocent [PERIOD]
lucky [IMPLY] frail [PERIOD]
curious [AND] sensible [AND] adorable [IMPLY] strange [PERIOD]
homely [IMPLY] curious [PERIOD]
outstanding [AND] zealous [AND] confident [IMPLY] nervous [PERIOD]
zealous [AND] messy [AND] confident [IMPLY] cute [PERIOD]
victorious [AND] nervous [IMPLY] frail [PERIOD]
curious [AND] beautiful [IMPLY] nervous [PERIOD]
strange [AND] troubled [IMPLY] curious [PERIOD]
outstanding [IMPLY] victorious [PERIOD]
strange [IMPLY] zealous [PERIOD]
zealous [IMPLY] innocent [PERIOD]
adorable [AND] confused [AND] strange [IMPLY] cute [PERIOD]
messy [IMPLY] strange [PERIOD]
cute [AND] messy [AND] troubled [IMPLY] strange [PERIOD]
sincere [AND] strange [IMPLY] innocent [PERIOD]
victorious [IMPLY] beautiful [PERIOD]
fragile [IMPLY] cute [PERIOD]
nervous [AND] curious [AND] frail [IMPLY] confident [PERIOD]
elated [IMPLY] confused [PERIOD]
sincere [IMPLY] victorious [PERIOD]
frail [AND] zealous [AND] sincere [IMPLY] adorable [PERIOD]
messy [AND] uptight [AND] zealous [IMPLY] outstanding [PERIOD]
elated [AND] nervous [IMPLY] homely [PERIOD]
outstanding [AND] lucky [AND] adorable [IMPLY] curious [PERIOD]
frail [IMPLY] strange [PERIOD]
fragile [AND] messy [IMPLY] sensible [PERIOD]
sincere [AND] uptight [IMPLY] innocent [PERIOD]
nervous [AND] victorious [AND] lucky [IMPLY] sensible [PERIOD]
fragile [AND] victorious [IMPLY] uptight [PERIOD]
adorable [IMPLY] confused [PERIOD]
beautiful [AND] outstanding [AND] pleasant [IMPLY] victorious [PERIOD]
lucky [IMPLY] curious [PERIOD]
zealous [AND] frail [IMPLY] curious [PERIOD]
homely [AND] strange [AND] confident [IMPLY] beautiful [PERIOD]
troubled [IMPLY] adorable [PERIOD]
strange [AND] adorable [IMPLY] confident [PERIOD]
sincere [AND] troubled [AND] pleasant [IMPLY] outstanding [PERIOD]
sensible [IMPLY] strange [PERIOD]
uptight [AND] outstanding [AND] vivacious [IMPLY] zealous [PERIOD]
pleasant [IMPLY] elated [PERIOD]
uptight [AND] elated [AND] frail [IMPLY] innocent [PERIOD]
sincere [IMPLY] sensible [PERIOD]
fragile [AND] vivacious [IMPLY] sensible [PERIOD]
beautiful [AND] lucky [IMPLY] uptight [PERIOD]
adorable [IMPLY] frail [PERIOD]
sincere [AND] zealous [AND] troubled [IMPLY] outstanding [PERIOD]
nervous [IMPLY] lucky [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   Cannot apply rule “curious ∧ sensible ∧ adorable ⇒ strange” because missing: curious, sensible, adorable.
   Cannot apply rule “messy ⇒ strange” because missing: messy.
   Cannot apply rule “cute ∧ messy ∧ troubled ⇒ strange” because missing: cute, messy, troubled.
   Cannot apply rule “frail ⇒ strange” because missing: frail.
   Cannot apply rule “sensible ⇒ strange” because missing: sensible.
",0,5
"Facts:  Alice is comfortable [PERIOD] Alice is confused [PERIOD]
Rules:
worrisome [AND] confused [IMPLY] nervous [PERIOD]
nervous [IMPLY] weary [PERIOD]
rude [IMPLY] spotless [PERIOD]
worrisome [AND] rude [AND] confused [IMPLY] spotless [PERIOD]
talkative [AND] strange [AND] nervous [IMPLY] worrisome [PERIOD]
nervous [AND] strange [AND] spotless [IMPLY] comfortable [PERIOD]
talkative [AND] weary [AND] nervous [IMPLY] confused [PERIOD]
nervous [IMPLY] strange [PERIOD]
strange [AND] confused [IMPLY] gorgeous [PERIOD]
talkative [IMPLY] confused [PERIOD]
talkative [AND] confused [AND] weary [IMPLY] strange [PERIOD]
rude [AND] gorgeous [AND] strange [IMPLY] talkative [PERIOD]
gorgeous [AND] confused [AND] rude [IMPLY] strange [PERIOD]
spotless [AND] comfortable [IMPLY] rude [PERIOD]
spotless [IMPLY] worrisome [PERIOD]
confused [IMPLY] worrisome [PERIOD]
strange [AND] rude [IMPLY] weary [PERIOD]
weary [IMPLY] talkative [PERIOD]
spotless [AND] nervous [IMPLY] comfortable [PERIOD]
spotless [AND] worrisome [AND] confused [IMPLY] strange [PERIOD]
weary [AND] worrisome [AND] confused [IMPLY] talkative [PERIOD]
spotless [AND] strange [AND] rude [IMPLY] nervous [PERIOD]
spotless [AND] comfortable [AND] talkative [IMPLY] rude [PERIOD]
weary [AND] rude [IMPLY] confused [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   confused ⇒ worrisome
   worrisome ∧ confused ⇒ nervous
   nervous ⇒ strange
   strange ∧ confused ⇒ gorgeous
",1,4
"Facts: 
Rules:
naughty [AND] old-fashioned [IMPLY] supportive [PERIOD]
wide-eyed [AND] crowded [IMPLY] naughty [PERIOD]
crowded [AND] supportive [AND] old-fashioned [IMPLY] naughty [PERIOD]
old-fashioned [IMPLY] thoughtless [PERIOD]
clumsy [AND] wide-eyed [IMPLY] frail [PERIOD]
crowded [AND] clumsy [IMPLY] confident [PERIOD]
tender [AND] old-fashioned [AND] clumsy [IMPLY] fragile [PERIOD]
old-fashioned [IMPLY] tender [PERIOD]
fragile [AND] clumsy [AND] cruel [IMPLY] thoughtless [PERIOD]
stubborn [IMPLY] clumsy [PERIOD]
crowded [IMPLY] wide-eyed [PERIOD]
supportive [AND] cruel [IMPLY] naughty [PERIOD]
stubborn [AND] supportive [IMPLY] old-fashioned [PERIOD]
confident [IMPLY] cruel [PERIOD]
wide-eyed [IMPLY] frail [PERIOD]
crowded [AND] wide-eyed [IMPLY] clumsy [PERIOD]
wide-eyed [AND] supportive [IMPLY] naughty [PERIOD]
clumsy [AND] crowded [IMPLY] thoughtless [PERIOD]
frail [IMPLY] stubborn [PERIOD]
wide-eyed [AND] fragile [AND] naughty [IMPLY] thoughtless [PERIOD]
cruel [AND] thoughtless [AND] crowded [IMPLY] wide-eyed [PERIOD]
tender [AND] supportive [IMPLY] crowded [PERIOD]
stubborn [AND] thoughtless [AND] tender [IMPLY] wide-eyed [PERIOD]
confident [AND] sensible [IMPLY] fragile [PERIOD]
thoughtless [IMPLY] cruel [PERIOD]
old-fashioned [IMPLY] fragile [PERIOD]
wide-eyed [IMPLY] cruel [PERIOD]
old-fashioned [AND] tender [AND] clumsy [IMPLY] confident [PERIOD]
cruel [AND] old-fashioned [IMPLY] naughty [PERIOD]
cruel [IMPLY] clumsy [PERIOD]
naughty [IMPLY] supportive [PERIOD]
confident [AND] cruel [AND] crowded [IMPLY] tender [PERIOD]
confident [IMPLY] thoughtless [PERIOD]
confident [IMPLY] supportive [PERIOD]
cruel [IMPLY] wide-eyed [PERIOD]
confident [IMPLY] tender [PERIOD]
tender [IMPLY] naughty [PERIOD]
clumsy [AND] naughty [AND] tender [IMPLY] supportive [PERIOD]
sensible [AND] thoughtless [IMPLY] fragile [PERIOD]
supportive [AND] sensible [IMPLY] crowded [PERIOD]
sensible [AND] thoughtless [IMPLY] stubborn [PERIOD]
naughty [AND] confident [IMPLY] old-fashioned [PERIOD]
fragile [IMPLY] confident [PERIOD]
crowded [AND] old-fashioned [AND] clumsy [IMPLY] confident [PERIOD]
cruel [AND] old-fashioned [IMPLY] sensible [PERIOD]
thoughtless [AND] sensible [IMPLY] frail [PERIOD]
stubborn [AND] naughty [AND] old-fashioned [IMPLY] confident [PERIOD]
clumsy [IMPLY] supportive [PERIOD]
frail [AND] sensible [IMPLY] stubborn [PERIOD]
supportive [IMPLY] naughty [PERIOD]
frail [IMPLY] confident [PERIOD]
supportive [AND] fragile [AND] clumsy [IMPLY] wide-eyed [PERIOD]
Query: Alice is clumsy [PERIOD]","Proof chain:
   Cannot apply rule “stubborn ⇒ clumsy” because missing: stubborn.
   Cannot apply rule “crowded ∧ wide-eyed ⇒ clumsy” because missing: crowded, wide-eyed.
   Cannot apply rule “cruel ⇒ clumsy” because missing: cruel.
",0,3
"Facts:  Alice is inquisitive [PERIOD] Alice is enchanting [PERIOD] Alice is impatient [PERIOD] Alice is easy [PERIOD] Alice is bossy [PERIOD] Alice is beautiful [PERIOD] Alice is homely [PERIOD] Alice is stupid [PERIOD] Alice is sensible [PERIOD] Alice is frantic [PERIOD] Alice is strange [PERIOD] Alice is blushing [PERIOD] Alice is amused [PERIOD] Alice is shiny [PERIOD] Alice is joyous [PERIOD] Alice is messy [PERIOD]
Rules:
bossy [AND] enchanting [AND] joyous [IMPLY] homely [PERIOD]
inquisitive [IMPLY] stupid [PERIOD]
strange [AND] enchanting [AND] joyous [IMPLY] messy [PERIOD]
inquisitive [IMPLY] easy [PERIOD]
stupid [AND] beautiful [AND] lonely [IMPLY] blushing [PERIOD]
enchanting [AND] messy [AND] long [IMPLY] joyous [PERIOD]
easy [IMPLY] impatient [PERIOD]
bossy [AND] weary [IMPLY] shiny [PERIOD]
long [AND] blushing [IMPLY] messy [PERIOD]
amused [AND] shiny [IMPLY] inquisitive [PERIOD]
strange [AND] shiny [AND] long [IMPLY] stupid [PERIOD]
homely [IMPLY] strange [PERIOD]
frantic [IMPLY] beautiful [PERIOD]
sensible [IMPLY] inquisitive [PERIOD]
beautiful [IMPLY] weary [PERIOD]
weary [IMPLY] shiny [PERIOD]
easy [AND] blushing [AND] beautiful [IMPLY] weary [PERIOD]
amused [AND] joyous [IMPLY] enchanting [PERIOD]
impatient [IMPLY] joyous [PERIOD]
inquisitive [AND] easy [AND] frantic [IMPLY] homely [PERIOD]
lonely [AND] homely [AND] long [IMPLY] weary [PERIOD]
beautiful [AND] sensible [IMPLY] long [PERIOD]
beautiful [AND] inquisitive [AND] weary [IMPLY] lonely [PERIOD]
long [AND] lonely [IMPLY] joyous [PERIOD]
impatient [IMPLY] frantic [PERIOD]
lonely [IMPLY] joyous [PERIOD]
inquisitive [AND] lonely [AND] shiny [IMPLY] weary [PERIOD]
frantic [AND] enchanting [IMPLY] blushing [PERIOD]
impatient [AND] lonely [IMPLY] strange [PERIOD]
blushing [AND] joyous [AND] frantic [IMPLY] messy [PERIOD]
frantic [IMPLY] inquisitive [PERIOD]
blushing [IMPLY] easy [PERIOD]
sensible [AND] shiny [IMPLY] joyous [PERIOD]
homely [IMPLY] shiny [PERIOD]
strange [AND] inquisitive [IMPLY] enchanting [PERIOD]
blushing [AND] easy [IMPLY] homely [PERIOD]
shiny [AND] weary [IMPLY] stupid [PERIOD]
joyous [AND] enchanting [IMPLY] easy [PERIOD]
bossy [AND] sensible [AND] messy [IMPLY] amused [PERIOD]
lonely [AND] sensible [AND] blushing [IMPLY] strange [PERIOD]
frantic [IMPLY] homely [PERIOD]
shiny [IMPLY] long [PERIOD]
homely [IMPLY] joyous [PERIOD]
inquisitive [AND] weary [IMPLY] amused [PERIOD]
impatient [AND] strange [AND] lonely [IMPLY] blushing [PERIOD]
amused [IMPLY] beautiful [PERIOD]
blushing [IMPLY] bossy [PERIOD]
weary [IMPLY] amused [PERIOD]
blushing [IMPLY] strange [PERIOD]
frantic [AND] strange [AND] long [IMPLY] stupid [PERIOD]
long [AND] amused [AND] blushing [IMPLY] frantic [PERIOD]
amused [IMPLY] shiny [PERIOD]
weary [AND] frantic [IMPLY] messy [PERIOD]
blushing [IMPLY] joyous [PERIOD]
impatient [IMPLY] lonely [PERIOD]
messy [AND] inquisitive [AND] frantic [IMPLY] impatient [PERIOD]
strange [IMPLY] inquisitive [PERIOD]
homely [IMPLY] amused [PERIOD]
sensible [AND] bossy [AND] easy [IMPLY] frantic [PERIOD]
beautiful [IMPLY] sensible [PERIOD]
stupid [IMPLY] weary [PERIOD]
joyous [IMPLY] sensible [PERIOD]
shiny [IMPLY] stupid [PERIOD]
stupid [IMPLY] shiny [PERIOD]
messy [AND] inquisitive [IMPLY] lonely [PERIOD]
beautiful [AND] easy [IMPLY] frantic [PERIOD]
inquisitive [AND] shiny [AND] stupid [IMPLY] easy [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
   impatient ⇒ lonely
",1,1
"Facts: 
Rules:
ugly [AND] polite [AND] tender [IMPLY] scared [PERIOD]
straightforward [AND] proud [AND] victorious [IMPLY] wandering [PERIOD]
scared [IMPLY] tender [PERIOD]
gifted [AND] diplomatic [AND] wandering [IMPLY] bossy [PERIOD]
helpful [AND] fine [AND] confused [IMPLY] lonely [PERIOD]
wandering [AND] bad-tempered [IMPLY] tender [PERIOD]
bossy [IMPLY] difficult [PERIOD]
polite [AND] gifted [IMPLY] disgusted [PERIOD]
victorious [AND] hilarious [AND] bad-tempered [IMPLY] good [PERIOD]
lonely [AND] straightforward [AND] bossy [IMPLY] disgusted [PERIOD]
difficult [AND] proud [IMPLY] scared [PERIOD]
wandering [IMPLY] disgusted [PERIOD]
diplomatic [AND] hilarious [AND] straightforward [IMPLY] scared [PERIOD]
innocent [IMPLY] wandering [PERIOD]
helpful [AND] disgusted [IMPLY] gifted [PERIOD]
helpful [IMPLY] good [PERIOD]
straightforward [AND] hilarious [IMPLY] good [PERIOD]
diplomatic [AND] gifted [AND] good [IMPLY] difficult [PERIOD]
helpful [AND] scared [IMPLY] victorious [PERIOD]
helpful [IMPLY] fine [PERIOD]
mysterious [AND] good [IMPLY] confused [PERIOD]
wandering [IMPLY] tender [PERIOD]
tender [IMPLY] polite [PERIOD]
polite [AND] bad-tempered [AND] confused [IMPLY] proud [PERIOD]
scared [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] wandering [PERIOD]
hilarious [AND] ugly [AND] straightforward [IMPLY] diplomatic [PERIOD]
diplomatic [AND] difficult [IMPLY] good [PERIOD]
victorious [AND] polite [IMPLY] confused [PERIOD]
disgusted [IMPLY] fine [PERIOD]
lonely [AND] bad-tempered [IMPLY] diplomatic [PERIOD]
difficult [AND] lonely [IMPLY] victorious [PERIOD]
helpful [AND] straightforward [IMPLY] diplomatic [PERIOD]
bad-tempered [IMPLY] mysterious [PERIOD]
hilarious [IMPLY] victorious [PERIOD]
bossy [AND] scared [IMPLY] ugly [PERIOD]
polite [AND] confused [IMPLY] lonely [PERIOD]
innocent [AND] helpful [AND] ugly [IMPLY] wandering [PERIOD]
diplomatic [AND] helpful [AND] wandering [IMPLY] hilarious [PERIOD]
lonely [AND] diplomatic [AND] hilarious [IMPLY] disgusted [PERIOD]
bad-tempered [AND] disgusted [AND] victorious [IMPLY] confused [PERIOD]
wandering [IMPLY] mysterious [PERIOD]
mysterious [AND] ugly [AND] straightforward [IMPLY] bad-tempered [PERIOD]
diplomatic [AND] scared [IMPLY] difficult [PERIOD]
bad-tempered [AND] difficult [AND] helpful [IMPLY] mysterious [PERIOD]
polite [IMPLY] mysterious [PERIOD]
lonely [AND] bad-tempered [AND] gifted [IMPLY] proud [PERIOD]
hilarious [IMPLY] proud [PERIOD]
diplomatic [AND] wandering [AND] mysterious [IMPLY] polite [PERIOD]
lonely [IMPLY] diplomatic [PERIOD]
gifted [IMPLY] difficult [PERIOD]
polite [AND] disgusted [IMPLY] gifted [PERIOD]
polite [AND] good [AND] lonely [IMPLY] bad-tempered [PERIOD]
scared [IMPLY] gifted [PERIOD]
bossy [IMPLY] proud [PERIOD]
victorious [AND] straightforward [AND] diplomatic [IMPLY] lonely [PERIOD]
disgusted [AND] bad-tempered [AND] helpful [IMPLY] victorious [PERIOD]
proud [AND] innocent [IMPLY] confused [PERIOD]
tender [AND] straightforward [AND] mysterious [IMPLY] scared [PERIOD]
polite [AND] scared [IMPLY] hilarious [PERIOD]
victorious [AND] polite [IMPLY] innocent [PERIOD]
scared [IMPLY] good [PERIOD]
tender [AND] gifted [AND] scared [IMPLY] good [PERIOD]
proud [IMPLY] wandering [PERIOD]
confused [AND] proud [IMPLY] scared [PERIOD]
mysterious [AND] diplomatic [AND] bossy [IMPLY] difficult [PERIOD]
diplomatic [AND] disgusted [IMPLY] wandering [PERIOD]
diplomatic [AND] tender [AND] innocent [IMPLY] polite [PERIOD]
confused [AND] hilarious [IMPLY] victorious [PERIOD]
confused [AND] mysterious [IMPLY] straightforward [PERIOD]
polite [AND] disgusted [IMPLY] victorious [PERIOD]
straightforward [AND] disgusted [IMPLY] mysterious [PERIOD]
bad-tempered [AND] lonely [AND] innocent [IMPLY] hilarious [PERIOD]
difficult [AND] ugly [AND] lonely [IMPLY] proud [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
   Cannot apply rule “ugly ∧ polite ∧ tender ⇒ scared” because missing: ugly, polite, tender.
   Cannot apply rule “difficult ∧ proud ⇒ scared” because missing: difficult, proud.
   Cannot apply rule “diplomatic ∧ hilarious ∧ straightforward ⇒ scared” because missing: diplomatic, hilarious, straightforward.
   Cannot apply rule “tender ∧ straightforward ∧ mysterious ⇒ scared” because missing: tender, straightforward, mysterious.
   Cannot apply rule “confused ∧ proud ⇒ scared” because missing: confused, proud.
",0,5
"Facts: 
Rules:
tense [IMPLY] unpleasant [PERIOD]
tense [AND] witty [AND] helpless [IMPLY] unpleasant [PERIOD]
witty [AND] sensible [AND] unpleasant [IMPLY] tense [PERIOD]
witty [AND] unpleasant [AND] helpless [IMPLY] sensible [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   Cannot apply rule “tense ⇒ unpleasant” because missing: tense.
   Cannot apply rule “tense ∧ witty ∧ helpless ⇒ unpleasant” because missing: tense, witty, helpless.
",0,2
"Facts:  Alice is pleasant [PERIOD] Alice is fragile [PERIOD] Alice is average [PERIOD] Alice is bossy [PERIOD] Alice is reserved [PERIOD]
Rules:
elated [IMPLY] average [PERIOD]
curious [AND] horrible [IMPLY] elated [PERIOD]
average [AND] messy [AND] muddy [IMPLY] reserved [PERIOD]
pleasant [AND] muddy [IMPLY] strange [PERIOD]
curious [IMPLY] messy [PERIOD]
muddy [AND] fragile [IMPLY] tame [PERIOD]
reserved [AND] average [AND] cute [IMPLY] pleasant [PERIOD]
elated [AND] tame [AND] messy [IMPLY] reserved [PERIOD]
friendly [AND] bossy [IMPLY] alert [PERIOD]
friendly [IMPLY] alert [PERIOD]
alert [AND] elated [AND] reserved [IMPLY] strange [PERIOD]
agreeable [AND] reserved [IMPLY] friendly [PERIOD]
strange [IMPLY] messy [PERIOD]
fragile [AND] tame [IMPLY] elated [PERIOD]
tame [AND] elated [AND] horrible [IMPLY] average [PERIOD]
curious [IMPLY] reserved [PERIOD]
pleasant [IMPLY] friendly [PERIOD]
agreeable [AND] muddy [IMPLY] strange [PERIOD]
curious [AND] pleasant [AND] inexpensive [IMPLY] muddy [PERIOD]
pleasant [IMPLY] average [PERIOD]
curious [AND] reserved [AND] friendly [IMPLY] agreeable [PERIOD]
friendly [AND] alert [IMPLY] agreeable [PERIOD]
tame [AND] agreeable [IMPLY] fragile [PERIOD]
curious [AND] reserved [IMPLY] horrible [PERIOD]
pleasant [IMPLY] inexpensive [PERIOD]
muddy [IMPLY] horrible [PERIOD]
average [AND] friendly [AND] alert [IMPLY] bossy [PERIOD]
alert [AND] messy [AND] inexpensive [IMPLY] elated [PERIOD]
friendly [AND] horrible [IMPLY] average [PERIOD]
inexpensive [AND] strange [AND] cute [IMPLY] reserved [PERIOD]
messy [IMPLY] elated [PERIOD]
curious [AND] messy [AND] horrible [IMPLY] fragile [PERIOD]
pleasant [AND] alert [AND] bossy [IMPLY] tame [PERIOD]
inexpensive [AND] average [AND] curious [IMPLY] fragile [PERIOD]
messy [IMPLY] pleasant [PERIOD]
muddy [IMPLY] reserved [PERIOD]
alert [IMPLY] curious [PERIOD]
pleasant [IMPLY] reserved [PERIOD]
elated [AND] friendly [IMPLY] agreeable [PERIOD]
curious [IMPLY] horrible [PERIOD]
cute [AND] average [AND] muddy [IMPLY] friendly [PERIOD]
curious [IMPLY] average [PERIOD]
elated [IMPLY] bossy [PERIOD]
average [AND] agreeable [AND] pleasant [IMPLY] reserved [PERIOD]
muddy [AND] friendly [AND] bossy [IMPLY] curious [PERIOD]
cute [AND] strange [AND] agreeable [IMPLY] messy [PERIOD]
alert [IMPLY] friendly [PERIOD]
curious [AND] messy [IMPLY] horrible [PERIOD]
fragile [IMPLY] average [PERIOD]
reserved [AND] elated [AND] friendly [IMPLY] alert [PERIOD]
messy [AND] fragile [AND] alert [IMPLY] muddy [PERIOD]
strange [AND] bossy [AND] agreeable [IMPLY] reserved [PERIOD]
inexpensive [AND] fragile [AND] elated [IMPLY] alert [PERIOD]
muddy [AND] fragile [AND] reserved [IMPLY] strange [PERIOD]
friendly [IMPLY] curious [PERIOD]
muddy [AND] bossy [AND] average [IMPLY] pleasant [PERIOD]
friendly [IMPLY] fragile [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   pleasant ⇒ friendly
   friendly ⇒ curious
   pleasant ⇒ inexpensive
   curious ∧ pleasant ∧ inexpensive ⇒ muddy
   pleasant ∧ muddy ⇒ strange
",1,5
"Facts:  Alice is crowded [PERIOD] Alice is amused [PERIOD] Alice is precious [PERIOD] Alice is muddy [PERIOD] Alice is helpless [PERIOD]
Rules:
fragile [AND] wandering [AND] frantic [IMPLY] proud [PERIOD]
helpful [AND] amused [IMPLY] helpless [PERIOD]
muddy [AND] talkative [AND] fragile [IMPLY] crowded [PERIOD]
crowded [AND] jittery [AND] helpful [IMPLY] amused [PERIOD]
crowded [AND] proud [IMPLY] attractive [PERIOD]
talkative [IMPLY] intellectual [PERIOD]
cute [IMPLY] frantic [PERIOD]
fragile [AND] cute [AND] precious [IMPLY] talkative [PERIOD]
fragile [IMPLY] talkative [PERIOD]
jittery [AND] attractive [IMPLY] helpless [PERIOD]
jittery [AND] amused [IMPLY] proud [PERIOD]
precious [IMPLY] fragile [PERIOD]
intellectual [IMPLY] precious [PERIOD]
crowded [AND] helpless [IMPLY] helpful [PERIOD]
fragile [AND] cute [IMPLY] attractive [PERIOD]
amused [IMPLY] proud [PERIOD]
frantic [AND] proud [AND] cute [IMPLY] precious [PERIOD]
frantic [AND] proud [AND] talkative [IMPLY] jittery [PERIOD]
intellectual [AND] helpless [IMPLY] fragile [PERIOD]
amused [AND] jittery [AND] helpful [IMPLY] precious [PERIOD]
cute [AND] amused [AND] wandering [IMPLY] jittery [PERIOD]
fragile [AND] amused [IMPLY] muddy [PERIOD]
helpless [AND] talkative [AND] fragile [IMPLY] intellectual [PERIOD]
jittery [IMPLY] helpful [PERIOD]
intellectual [AND] jittery [IMPLY] wandering [PERIOD]
talkative [AND] muddy [AND] attractive [IMPLY] proud [PERIOD]
frantic [AND] intellectual [IMPLY] crowded [PERIOD]
intellectual [AND] wandering [AND] frantic [IMPLY] precious [PERIOD]
jittery [AND] fragile [AND] amused [IMPLY] precious [PERIOD]
muddy [AND] talkative [IMPLY] attractive [PERIOD]
frantic [AND] precious [AND] amused [IMPLY] fragile [PERIOD]
talkative [AND] fragile [IMPLY] frantic [PERIOD]
crowded [AND] jittery [IMPLY] helpless [PERIOD]
fragile [AND] helpless [AND] frantic [IMPLY] intellectual [PERIOD]
jittery [IMPLY] cute [PERIOD]
intellectual [AND] talkative [IMPLY] attractive [PERIOD]
muddy [AND] attractive [IMPLY] crowded [PERIOD]
muddy [AND] amused [AND] frantic [IMPLY] wandering [PERIOD]
attractive [AND] jittery [IMPLY] helpful [PERIOD]
amused [IMPLY] helpless [PERIOD]
helpful [IMPLY] attractive [PERIOD]
crowded [AND] precious [AND] proud [IMPLY] attractive [PERIOD]
jittery [AND] fragile [AND] attractive [IMPLY] helpful [PERIOD]
helpful [AND] amused [IMPLY] intellectual [PERIOD]
proud [AND] muddy [IMPLY] talkative [PERIOD]
intellectual [AND] wandering [AND] muddy [IMPLY] cute [PERIOD]
crowded [IMPLY] precious [PERIOD]
crowded [IMPLY] frantic [PERIOD]
intellectual [IMPLY] frantic [PERIOD]
proud [AND] cute [IMPLY] muddy [PERIOD]
helpful [AND] talkative [AND] precious [IMPLY] frantic [PERIOD]
amused [AND] jittery [IMPLY] intellectual [PERIOD]
muddy [AND] jittery [AND] precious [IMPLY] attractive [PERIOD]
attractive [AND] proud [AND] muddy [IMPLY] helpful [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   precious ⇒ fragile
   crowded ⇒ frantic
   fragile ∧ helpless ∧ frantic ⇒ intellectual
   crowded ⇒ frantic
   muddy ∧ amused ∧ frantic ⇒ wandering
   intellectual ∧ wandering ∧ muddy ⇒ cute
",1,6
"Facts:  Alice is outrageous [PERIOD] Alice is clean [PERIOD]
Rules:
attractive [AND] old-fashioned [IMPLY] supportive [PERIOD]
fine [AND] old-fashioned [AND] confident [IMPLY] courageous [PERIOD]
supportive [AND] attractive [AND] tame [IMPLY] clean [PERIOD]
fine [AND] clean [IMPLY] outrageous [PERIOD]
outrageous [AND] courageous [IMPLY] confident [PERIOD]
old-fashioned [AND] courageous [IMPLY] tame [PERIOD]
fine [IMPLY] confident [PERIOD]
confident [AND] supportive [AND] fine [IMPLY] attractive [PERIOD]
fine [IMPLY] clean [PERIOD]
old-fashioned [AND] fine [IMPLY] clean [PERIOD]
attractive [AND] outrageous [IMPLY] courageous [PERIOD]
confident [AND] clean [AND] supportive [IMPLY] outrageous [PERIOD]
tame [AND] supportive [IMPLY] clean [PERIOD]
supportive [AND] outrageous [IMPLY] confident [PERIOD]
clean [IMPLY] supportive [PERIOD]
old-fashioned [AND] supportive [IMPLY] tame [PERIOD]
fine [AND] clean [AND] confident [IMPLY] old-fashioned [PERIOD]
supportive [IMPLY] clean [PERIOD]
clean [IMPLY] tame [PERIOD]
confident [IMPLY] tame [PERIOD]
attractive [AND] outrageous [IMPLY] supportive [PERIOD]
outrageous [IMPLY] fine [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   outrageous ⇒ fine
   outrageous ⇒ fine
   fine ⇒ confident
   fine ∧ clean ∧ confident ⇒ old-fashioned
",1,4
"Facts:  Alice is stupid [PERIOD] Alice is glamorous [PERIOD] Alice is impatient [PERIOD] Alice is innocent [PERIOD] Alice is thoughtless [PERIOD] Alice is naughty [PERIOD] Alice is thoughtful [PERIOD] Alice is agreeable [PERIOD]
Rules:
proud [AND] thoughtful [IMPLY] attractive [PERIOD]
innocent [AND] popular [AND] thoughtless [IMPLY] stupid [PERIOD]
thoughtless [IMPLY] attractive [PERIOD]
glamorous [AND] worried [IMPLY] innocent [PERIOD]
thoughtful [AND] agreeable [AND] dull [IMPLY] naughty [PERIOD]
stupid [AND] glamorous [AND] blushing [IMPLY] worried [PERIOD]
popular [AND] stormy [AND] proud [IMPLY] innocent [PERIOD]
comfortable [IMPLY] worried [PERIOD]
blushing [IMPLY] thoughtful [PERIOD]
stupid [AND] stormy [AND] agreeable [IMPLY] blushing [PERIOD]
naughty [IMPLY] comfortable [PERIOD]
naughty [AND] stormy [IMPLY] thoughtless [PERIOD]
lucky [AND] blushing [IMPLY] popular [PERIOD]
lucky [AND] thoughtful [IMPLY] impatient [PERIOD]
tidy [AND] attractive [IMPLY] dull [PERIOD]
blushing [IMPLY] worried [PERIOD]
thoughtless [AND] agreeable [AND] stupid [IMPLY] proud [PERIOD]
innocent [AND] stormy [IMPLY] dull [PERIOD]
tidy [AND] glamorous [AND] worried [IMPLY] stormy [PERIOD]
lucky [IMPLY] proud [PERIOD]
agreeable [IMPLY] comfortable [PERIOD]
glamorous [AND] thoughtless [AND] proud [IMPLY] impatient [PERIOD]
worried [IMPLY] glamorous [PERIOD]
stupid [AND] popular [IMPLY] agreeable [PERIOD]
lucky [AND] innocent [AND] thoughtless [IMPLY] agreeable [PERIOD]
naughty [IMPLY] popular [PERIOD]
naughty [IMPLY] stupid [PERIOD]
thoughtful [AND] lucky [IMPLY] popular [PERIOD]
thoughtless [AND] worried [AND] comfortable [IMPLY] stupid [PERIOD]
comfortable [AND] blushing [IMPLY] lucky [PERIOD]
stormy [AND] thoughtless [IMPLY] dull [PERIOD]
lucky [AND] naughty [AND] glamorous [IMPLY] stormy [PERIOD]
popular [AND] stormy [IMPLY] glamorous [PERIOD]
attractive [AND] glamorous [IMPLY] thoughtful [PERIOD]
dull [AND] thoughtful [AND] glamorous [IMPLY] attractive [PERIOD]
impatient [IMPLY] proud [PERIOD]
lucky [IMPLY] impatient [PERIOD]
proud [AND] tidy [IMPLY] comfortable [PERIOD]
thoughtful [AND] comfortable [IMPLY] impatient [PERIOD]
glamorous [IMPLY] proud [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is fearless [PERIOD] Alice is hurt [PERIOD] Alice is helpless [PERIOD] Alice is ugly [PERIOD]
Rules:
serious [AND] ugly [AND] good [IMPLY] stormy [PERIOD]
quaint [IMPLY] careless [PERIOD]
homely [IMPLY] attentive [PERIOD]
stupid [IMPLY] careless [PERIOD]
ugly [IMPLY] good [PERIOD]
hurt [AND] careless [IMPLY] witty [PERIOD]
serious [IMPLY] excited [PERIOD]
stormy [AND] homely [IMPLY] spotless [PERIOD]
stupid [AND] excited [IMPLY] fearless [PERIOD]
proud [AND] attentive [IMPLY] serious [PERIOD]
worrisome [AND] helpless [IMPLY] serious [PERIOD]
uptight [AND] proud [IMPLY] worrisome [PERIOD]
serious [IMPLY] ugly [PERIOD]
zealous [IMPLY] condemned [PERIOD]
quaint [AND] spotless [AND] proud [IMPLY] stupid [PERIOD]
attentive [AND] zealous [IMPLY] ugly [PERIOD]
zealous [AND] witty [AND] careless [IMPLY] condemned [PERIOD]
serious [AND] hurt [IMPLY] careless [PERIOD]
excited [IMPLY] fearless [PERIOD]
uptight [IMPLY] homely [PERIOD]
quaint [IMPLY] spotless [PERIOD]
stupid [AND] uptight [AND] helpless [IMPLY] witty [PERIOD]
hurt [AND] zealous [AND] witty [IMPLY] spotless [PERIOD]
good [AND] condemned [AND] fearless [IMPLY] ugly [PERIOD]
worrisome [AND] ugly [AND] helpless [IMPLY] quaint [PERIOD]
good [IMPLY] proud [PERIOD]
excited [IMPLY] proud [PERIOD]
condemned [AND] attentive [AND] witty [IMPLY] worrisome [PERIOD]
helpless [AND] serious [IMPLY] ugly [PERIOD]
good [AND] stupid [AND] stormy [IMPLY] uptight [PERIOD]
spotless [AND] good [IMPLY] proud [PERIOD]
spotless [AND] proud [AND] quaint [IMPLY] fearless [PERIOD]
witty [AND] uptight [IMPLY] helpless [PERIOD]
careless [IMPLY] fearless [PERIOD]
homely [AND] stupid [AND] attentive [IMPLY] proud [PERIOD]
helpless [AND] good [IMPLY] uptight [PERIOD]
helpless [AND] ugly [IMPLY] worrisome [PERIOD]
attentive [IMPLY] proud [PERIOD]
uptight [AND] hurt [IMPLY] fearless [PERIOD]
serious [AND] witty [AND] homely [IMPLY] proud [PERIOD]
spotless [AND] careless [IMPLY] zealous [PERIOD]
homely [IMPLY] zealous [PERIOD]
proud [AND] witty [IMPLY] fearless [PERIOD]
condemned [AND] careless [AND] hurt [IMPLY] uptight [PERIOD]
spotless [AND] excited [AND] helpless [IMPLY] homely [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   ugly ⇒ good
   helpless ∧ good ⇒ uptight
   uptight ⇒ homely
   homely ⇒ attentive
",1,4
"Facts:  Alice is good [PERIOD] Alice is courageous [PERIOD] Alice is strange [PERIOD] Alice is comfortable [PERIOD] Alice is mysterious [PERIOD] Alice is attractive [PERIOD] Alice is disobedient [PERIOD] Alice is inexpensive [PERIOD] Alice is enchanting [PERIOD]
Rules:
enchanting [AND] comfortable [AND] friendly [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] distinct [PERIOD]
proud [IMPLY] distinct [PERIOD]
confident [IMPLY] enchanting [PERIOD]
comfortable [IMPLY] disobedient [PERIOD]
good [AND] proud [AND] strange [IMPLY] pessimistic [PERIOD]
embarrassed [AND] enchanting [IMPLY] inexpensive [PERIOD]
comfortable [AND] enchanting [AND] mysterious [IMPLY] proud [PERIOD]
pessimistic [AND] inexpensive [AND] strange [IMPLY] mysterious [PERIOD]
courageous [IMPLY] comfortable [PERIOD]
embarrassed [AND] courageous [AND] good [IMPLY] mysterious [PERIOD]
inexpensive [AND] comfortable [AND] confident [IMPLY] disobedient [PERIOD]
good [IMPLY] friendly [PERIOD]
mysterious [AND] friendly [IMPLY] comfortable [PERIOD]
proud [AND] confident [AND] enchanting [IMPLY] good [PERIOD]
attractive [IMPLY] embarrassed [PERIOD]
embarrassed [AND] comfortable [AND] proud [IMPLY] good [PERIOD]
embarrassed [IMPLY] confident [PERIOD]
friendly [IMPLY] confident [PERIOD]
mysterious [IMPLY] proud [PERIOD]
inexpensive [IMPLY] disobedient [PERIOD]
friendly [AND] pessimistic [AND] distinct [IMPLY] proud [PERIOD]
embarrassed [AND] inexpensive [IMPLY] disobedient [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is crowded [PERIOD] Alice is wandering [PERIOD] Alice is good [PERIOD] Alice is average [PERIOD] Alice is alert [PERIOD]
Rules:
helpless [IMPLY] average [PERIOD]
joyous [AND] fragile [AND] witty [IMPLY] versatile [PERIOD]
attractive [IMPLY] witty [PERIOD]
thoughtful [IMPLY] exuberant [PERIOD]
busy [IMPLY] elegant [PERIOD]
busy [IMPLY] versatile [PERIOD]
fragile [IMPLY] naughty [PERIOD]
glamorous [AND] busy [IMPLY] joyous [PERIOD]
pessimistic [IMPLY] witty [PERIOD]
good [IMPLY] crowded [PERIOD]
joyous [IMPLY] stormy [PERIOD]
powerful [AND] glamorous [AND] fragile [IMPLY] average [PERIOD]
elegant [AND] gorgeous [IMPLY] versatile [PERIOD]
silly [AND] helpful [AND] attractive [IMPLY] average [PERIOD]
silly [AND] joyous [IMPLY] bright [PERIOD]
fragile [AND] alert [AND] crowded [IMPLY] versatile [PERIOD]
clumsy [IMPLY] quaint [PERIOD]
wandering [AND] fragile [IMPLY] glamorous [PERIOD]
versatile [AND] good [IMPLY] clumsy [PERIOD]
helpful [AND] fragile [AND] crowded [IMPLY] exuberant [PERIOD]
glamorous [AND] fragile [IMPLY] stormy [PERIOD]
witty [IMPLY] joyous [PERIOD]
wandering [AND] quaint [AND] witty [IMPLY] weary [PERIOD]
witty [IMPLY] good [PERIOD]
bright [AND] quaint [AND] attractive [IMPLY] busy [PERIOD]
weary [AND] wandering [IMPLY] pessimistic [PERIOD]
quaint [IMPLY] thoughtful [PERIOD]
exuberant [IMPLY] helpless [PERIOD]
pessimistic [IMPLY] powerful [PERIOD]
good [AND] gorgeous [AND] helpless [IMPLY] pessimistic [PERIOD]
silly [IMPLY] gorgeous [PERIOD]
fragile [AND] busy [AND] joyous [IMPLY] powerful [PERIOD]
helpful [IMPLY] powerful [PERIOD]
witty [AND] glamorous [AND] versatile [IMPLY] average [PERIOD]
weary [IMPLY] helpless [PERIOD]
attractive [AND] weary [IMPLY] fragile [PERIOD]
attractive [IMPLY] clumsy [PERIOD]
attractive [AND] powerful [IMPLY] clumsy [PERIOD]
crowded [AND] weary [AND] naughty [IMPLY] stormy [PERIOD]
weary [IMPLY] alert [PERIOD]
naughty [AND] attractive [AND] good [IMPLY] exuberant [PERIOD]
bright [IMPLY] quaint [PERIOD]
exuberant [AND] bright [AND] thoughtful [IMPLY] alert [PERIOD]
alert [AND] witty [IMPLY] thoughtful [PERIOD]
silly [AND] quaint [IMPLY] helpful [PERIOD]
helpful [AND] wandering [IMPLY] bright [PERIOD]
helpless [AND] glamorous [IMPLY] wandering [PERIOD]
uptight [AND] witty [AND] exuberant [IMPLY] fragile [PERIOD]
exuberant [AND] thoughtful [AND] uptight [IMPLY] naughty [PERIOD]
attractive [AND] gorgeous [IMPLY] stormy [PERIOD]
glamorous [AND] pessimistic [IMPLY] versatile [PERIOD]
average [IMPLY] crowded [PERIOD]
clumsy [AND] versatile [AND] silly [IMPLY] crowded [PERIOD]
joyous [IMPLY] glamorous [PERIOD]
average [AND] stormy [IMPLY] uptight [PERIOD]
average [AND] alert [IMPLY] fragile [PERIOD]
joyous [IMPLY] silly [PERIOD]
stormy [AND] alert [IMPLY] silly [PERIOD]
joyous [AND] good [AND] wandering [IMPLY] attractive [PERIOD]
attractive [IMPLY] helpless [PERIOD]
thoughtful [AND] powerful [AND] wandering [IMPLY] helpless [PERIOD]
pessimistic [AND] weary [AND] joyous [IMPLY] bright [PERIOD]
exuberant [IMPLY] powerful [PERIOD]
versatile [AND] witty [AND] silly [IMPLY] fragile [PERIOD]
pessimistic [AND] silly [AND] powerful [IMPLY] exuberant [PERIOD]
exuberant [AND] powerful [IMPLY] helpful [PERIOD]
stormy [IMPLY] joyous [PERIOD]
helpful [IMPLY] stormy [PERIOD]
helpful [AND] good [IMPLY] glamorous [PERIOD]
crowded [AND] stormy [IMPLY] versatile [PERIOD]
thoughtful [AND] helpful [AND] alert [IMPLY] silly [PERIOD]
busy [IMPLY] attractive [PERIOD]
average [AND] helpless [AND] bright [IMPLY] stormy [PERIOD]
joyous [AND] pessimistic [IMPLY] crowded [PERIOD]
crowded [IMPLY] versatile [PERIOD]
naughty [AND] uptight [AND] average [IMPLY] weary [PERIOD]
alert [IMPLY] wandering [PERIOD]
helpless [AND] elegant [AND] busy [IMPLY] powerful [PERIOD]
average [AND] fragile [IMPLY] exuberant [PERIOD]
helpless [AND] busy [AND] silly [IMPLY] bright [PERIOD]
attractive [AND] elegant [AND] helpless [IMPLY] exuberant [PERIOD]
glamorous [AND] silly [IMPLY] pessimistic [PERIOD]
attractive [AND] powerful [AND] alert [IMPLY] helpless [PERIOD]
silly [AND] helpless [IMPLY] exuberant [PERIOD]
alert [AND] helpless [AND] thoughtful [IMPLY] weary [PERIOD]
good [AND] naughty [IMPLY] bright [PERIOD]
quaint [AND] bright [AND] busy [IMPLY] wandering [PERIOD]
crowded [IMPLY] elegant [PERIOD]
weary [AND] fragile [AND] joyous [IMPLY] uptight [PERIOD]
elegant [IMPLY] thoughtful [PERIOD]
witty [AND] busy [AND] gorgeous [IMPLY] bright [PERIOD]
weary [AND] naughty [AND] versatile [IMPLY] elegant [PERIOD]
elegant [AND] witty [IMPLY] joyous [PERIOD]
uptight [AND] fragile [IMPLY] attractive [PERIOD]
thoughtful [AND] elegant [IMPLY] attractive [PERIOD]
bright [AND] average [IMPLY] clumsy [PERIOD]
quaint [AND] average [AND] weary [IMPLY] busy [PERIOD]
weary [AND] fragile [IMPLY] attractive [PERIOD]
average [IMPLY] helpful [PERIOD]
alert [AND] versatile [IMPLY] quaint [PERIOD]
wandering [AND] helpless [AND] weary [IMPLY] average [PERIOD]
weary [AND] pessimistic [IMPLY] average [PERIOD]
fragile [AND] thoughtful [AND] attractive [IMPLY] uptight [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   crowded ⇒ elegant
   elegant ⇒ thoughtful
",1,2
"Facts:  Alice is popular [PERIOD] Alice is agreeable [PERIOD] Alice is uptight [PERIOD]
Rules:
rational [IMPLY] ugliest [PERIOD]
silly [AND] hypocritical [AND] blushing [IMPLY] agreeable [PERIOD]
blushing [IMPLY] polite [PERIOD]
popular [AND] precious [IMPLY] average [PERIOD]
innocent [AND] uptight [AND] proud [IMPLY] embarrassed [PERIOD]
agreeable [AND] silly [IMPLY] gorgeous [PERIOD]
popular [IMPLY] uptight [PERIOD]
embarrassed [AND] selfish [IMPLY] ugliest [PERIOD]
uptight [AND] gorgeous [IMPLY] popular [PERIOD]
helpless [AND] hypocritical [IMPLY] innocent [PERIOD]
popular [AND] silly [IMPLY] helpless [PERIOD]
precious [IMPLY] gorgeous [PERIOD]
embarrassed [AND] innocent [AND] rational [IMPLY] popular [PERIOD]
polite [AND] embarrassed [AND] shy [IMPLY] light [PERIOD]
hypocritical [AND] helpless [IMPLY] proud [PERIOD]
ugliest [AND] average [AND] uptight [IMPLY] blushing [PERIOD]
agreeable [AND] gorgeous [AND] rational [IMPLY] proud [PERIOD]
helpless [AND] tense [IMPLY] innocent [PERIOD]
embarrassed [IMPLY] silly [PERIOD]
popular [AND] helpless [IMPLY] average [PERIOD]
proud [AND] stubborn [IMPLY] light [PERIOD]
blushing [AND] innocent [AND] helpless [IMPLY] gorgeous [PERIOD]
confident [AND] average [AND] light [IMPLY] popular [PERIOD]
rational [AND] intellectual [AND] embarrassed [IMPLY] popular [PERIOD]
helpless [AND] precious [IMPLY] popular [PERIOD]
shy [AND] rational [IMPLY] popular [PERIOD]
confident [AND] precious [IMPLY] blushing [PERIOD]
hypocritical [AND] blushing [IMPLY] agreeable [PERIOD]
blushing [AND] popular [AND] light [IMPLY] shy [PERIOD]
confident [IMPLY] helpless [PERIOD]
blushing [IMPLY] intellectual [PERIOD]
shy [IMPLY] rational [PERIOD]
popular [IMPLY] embarrassed [PERIOD]
selfish [AND] innocent [IMPLY] uptight [PERIOD]
average [IMPLY] blushing [PERIOD]
uptight [IMPLY] silly [PERIOD]
light [AND] stubborn [IMPLY] proud [PERIOD]
silly [IMPLY] rational [PERIOD]
helpful [AND] intellectual [IMPLY] popular [PERIOD]
average [IMPLY] intellectual [PERIOD]
rational [IMPLY] tense [PERIOD]
blushing [AND] gorgeous [IMPLY] shy [PERIOD]
tense [IMPLY] blushing [PERIOD]
innocent [AND] rational [IMPLY] intellectual [PERIOD]
confident [AND] intellectual [AND] shy [IMPLY] tense [PERIOD]
shy [IMPLY] uptight [PERIOD]
ugliest [AND] precious [AND] polite [IMPLY] shy [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   uptight ⇒ silly
   popular ∧ silly ⇒ helpless
   popular ∧ helpless ⇒ average
   average ⇒ blushing
   blushing ⇒ polite
",1,5
"Facts:  Alice is worried [PERIOD] Alice is gleaming [PERIOD] Alice is friendly [PERIOD] Alice is sensible [PERIOD] Alice is mysterious [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
distinct [AND] gleaming [AND] disobedient [IMPLY] bored [PERIOD]
distinct [AND] innocent [AND] bad-tempered [IMPLY] sensible [PERIOD]
tender [AND] lucky [IMPLY] ambitious [PERIOD]
frantic [AND] distinct [IMPLY] friendly [PERIOD]
outrageous [AND] lucky [IMPLY] frantic [PERIOD]
ambitious [IMPLY] lucky [PERIOD]
famous [AND] gleaming [IMPLY] worried [PERIOD]
distinct [AND] innocent [AND] aggressive [IMPLY] frantic [PERIOD]
thoughtful [AND] sensible [AND] aggressive [IMPLY] famous [PERIOD]
ambitious [AND] uptight [IMPLY] fearless [PERIOD]
innocent [AND] thoughtful [IMPLY] gifted [PERIOD]
bored [AND] tender [AND] easy [IMPLY] distinct [PERIOD]
ambitious [IMPLY] blushing [PERIOD]
ambitious [AND] hypocritical [AND] gifted [IMPLY] outrageous [PERIOD]
frantic [AND] ambitious [AND] lucky [IMPLY] bad-tempered [PERIOD]
aggressive [AND] worried [AND] bored [IMPLY] distinct [PERIOD]
worried [IMPLY] distinct [PERIOD]
distinct [AND] uptight [IMPLY] hypocritical [PERIOD]
thoughtful [AND] mysterious [AND] supportive [IMPLY] hypocritical [PERIOD]
easy [AND] outrageous [IMPLY] hypocritical [PERIOD]
famous [AND] supportive [AND] innocent [IMPLY] blushing [PERIOD]
sensible [AND] disobedient [AND] mysterious [IMPLY] frantic [PERIOD]
innocent [AND] frantic [AND] uptight [IMPLY] supportive [PERIOD]
frantic [AND] aggressive [IMPLY] ambitious [PERIOD]
embarrassed [IMPLY] disobedient [PERIOD]
bored [IMPLY] ambitious [PERIOD]
fearless [AND] embarrassed [AND] uptight [IMPLY] mysterious [PERIOD]
thoughtful [IMPLY] supportive [PERIOD]
bad-tempered [IMPLY] frantic [PERIOD]
supportive [AND] gleaming [AND] famous [IMPLY] bored [PERIOD]
supportive [AND] bad-tempered [AND] lucky [IMPLY] gleaming [PERIOD]
ambitious [AND] innocent [IMPLY] bored [PERIOD]
tender [AND] supportive [AND] uptight [IMPLY] distinct [PERIOD]
gleaming [IMPLY] ambitious [PERIOD]
disobedient [AND] mysterious [AND] aggressive [IMPLY] easy [PERIOD]
aggressive [IMPLY] tender [PERIOD]
fearless [AND] bad-tempered [AND] innocent [IMPLY] famous [PERIOD]
supportive [IMPLY] worried [PERIOD]
bad-tempered [IMPLY] supportive [PERIOD]
blushing [AND] friendly [IMPLY] ambitious [PERIOD]
mysterious [AND] famous [IMPLY] easy [PERIOD]
innocent [AND] gifted [AND] distinct [IMPLY] hypocritical [PERIOD]
mysterious [AND] distinct [AND] ambitious [IMPLY] fearless [PERIOD]
embarrassed [IMPLY] outrageous [PERIOD]
worried [AND] mysterious [AND] embarrassed [IMPLY] thoughtful [PERIOD]
thoughtful [AND] tender [AND] innocent [IMPLY] easy [PERIOD]
embarrassed [IMPLY] fearless [PERIOD]
blushing [IMPLY] mysterious [PERIOD]
innocent [AND] embarrassed [AND] easy [IMPLY] fearless [PERIOD]
outrageous [IMPLY] gleaming [PERIOD]
bored [AND] sensible [AND] hypocritical [IMPLY] gifted [PERIOD]
lucky [AND] supportive [AND] friendly [IMPLY] frantic [PERIOD]
tender [AND] outrageous [AND] sensible [IMPLY] fearless [PERIOD]
friendly [IMPLY] ambitious [PERIOD]
friendly [IMPLY] disobedient [PERIOD]
fearless [IMPLY] thoughtful [PERIOD]
famous [IMPLY] embarrassed [PERIOD]
disobedient [IMPLY] hypocritical [PERIOD]
easy [IMPLY] gleaming [PERIOD]
supportive [AND] sensible [IMPLY] easy [PERIOD]
bored [IMPLY] thoughtful [PERIOD]
gifted [AND] innocent [AND] bad-tempered [IMPLY] worried [PERIOD]
supportive [AND] hypocritical [AND] disobedient [IMPLY] uptight [PERIOD]
bad-tempered [AND] aggressive [IMPLY] uptight [PERIOD]
embarrassed [AND] worried [IMPLY] sensible [PERIOD]
gleaming [AND] outrageous [IMPLY] gifted [PERIOD]
gleaming [IMPLY] mysterious [PERIOD]
tender [IMPLY] fearless [PERIOD]
innocent [AND] tender [AND] aggressive [IMPLY] friendly [PERIOD]
bad-tempered [AND] thoughtful [AND] blushing [IMPLY] supportive [PERIOD]
easy [AND] outrageous [AND] thoughtful [IMPLY] uptight [PERIOD]
distinct [IMPLY] aggressive [PERIOD]
easy [AND] blushing [AND] bad-tempered [IMPLY] distinct [PERIOD]
sensible [IMPLY] tender [PERIOD]
worried [IMPLY] bad-tempered [PERIOD]
blushing [AND] mysterious [AND] disobedient [IMPLY] gleaming [PERIOD]
aggressive [AND] outrageous [AND] ambitious [IMPLY] blushing [PERIOD]
blushing [AND] frantic [IMPLY] lucky [PERIOD]
hypocritical [IMPLY] thoughtful [PERIOD]
tender [AND] gleaming [IMPLY] aggressive [PERIOD]
bad-tempered [AND] innocent [IMPLY] disobedient [PERIOD]
gifted [AND] frantic [IMPLY] mysterious [PERIOD]
sensible [IMPLY] disobedient [PERIOD]
easy [IMPLY] aggressive [PERIOD]
outrageous [AND] lucky [IMPLY] tender [PERIOD]
supportive [AND] ambitious [IMPLY] mysterious [PERIOD]
ambitious [IMPLY] bad-tempered [PERIOD]
fearless [IMPLY] gifted [PERIOD]
innocent [IMPLY] frantic [PERIOD]
famous [AND] uptight [IMPLY] easy [PERIOD]
fearless [AND] mysterious [AND] gifted [IMPLY] supportive [PERIOD]
ambitious [AND] blushing [IMPLY] famous [PERIOD]
uptight [AND] thoughtful [AND] innocent [IMPLY] embarrassed [PERIOD]
sensible [AND] disobedient [AND] mysterious [IMPLY] friendly [PERIOD]
easy [IMPLY] supportive [PERIOD]
sensible [IMPLY] worried [PERIOD]
frantic [IMPLY] blushing [PERIOD]
hypocritical [IMPLY] outrageous [PERIOD]
gifted [AND] frantic [AND] uptight [IMPLY] friendly [PERIOD]
frantic [AND] aggressive [IMPLY] uptight [PERIOD]
uptight [IMPLY] fearless [PERIOD]
gifted [AND] aggressive [IMPLY] tender [PERIOD]
aggressive [AND] outrageous [IMPLY] gifted [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   friendly ⇒ ambitious
   friendly ⇒ ambitious
   ambitious ⇒ blushing
   ambitious ∧ blushing ⇒ famous
   famous ⇒ embarrassed
",1,5
"Facts: 
Rules:
witty [AND] talented [AND] vivacious [IMPLY] lonely [PERIOD]
polite [IMPLY] lonely [PERIOD]
bad-tempered [AND] talented [IMPLY] inquisitive [PERIOD]
polite [AND] inquisitive [AND] witty [IMPLY] talented [PERIOD]
witty [AND] lonely [AND] vivacious [IMPLY] impartial [PERIOD]
vivacious [AND] talented [IMPLY] lonely [PERIOD]
impartial [AND] inquisitive [IMPLY] talented [PERIOD]
witty [AND] bad-tempered [AND] lonely [IMPLY] polite [PERIOD]
talented [AND] witty [IMPLY] impartial [PERIOD]
polite [IMPLY] vivacious [PERIOD]
vivacious [AND] talented [AND] witty [IMPLY] inquisitive [PERIOD]
vivacious [AND] inquisitive [IMPLY] talented [PERIOD]
polite [AND] inquisitive [AND] lonely [IMPLY] vivacious [PERIOD]
bad-tempered [IMPLY] impartial [PERIOD]
inquisitive [AND] polite [AND] vivacious [IMPLY] witty [PERIOD]
witty [AND] inquisitive [IMPLY] lonely [PERIOD]
vivacious [IMPLY] impartial [PERIOD]
vivacious [AND] impartial [AND] witty [IMPLY] bad-tempered [PERIOD]
vivacious [AND] witty [IMPLY] impartial [PERIOD]
lonely [AND] polite [AND] impartial [IMPLY] inquisitive [PERIOD]
vivacious [AND] inquisitive [IMPLY] witty [PERIOD]
bad-tempered [AND] talented [IMPLY] impartial [PERIOD]
vivacious [AND] polite [IMPLY] lonely [PERIOD]
lonely [IMPLY] bad-tempered [PERIOD]
witty [IMPLY] vivacious [PERIOD]
bad-tempered [IMPLY] inquisitive [PERIOD]
vivacious [AND] impartial [AND] inquisitive [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] talented [AND] inquisitive [IMPLY] witty [PERIOD]
talented [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] lonely [PERIOD]
inquisitive [IMPLY] bad-tempered [PERIOD]
talented [AND] vivacious [AND] inquisitive [IMPLY] bad-tempered [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   Cannot apply rule “vivacious ∧ impartial ∧ witty ⇒ bad-tempered” because missing: vivacious, impartial, witty.
   Cannot apply rule “lonely ⇒ bad-tempered” because missing: lonely.
   Cannot apply rule “vivacious ∧ impartial ∧ inquisitive ⇒ bad-tempered” because missing: vivacious, impartial, inquisitive.
   Cannot apply rule “inquisitive ⇒ bad-tempered” because missing: inquisitive.
   Cannot apply rule “talented ∧ vivacious ∧ inquisitive ⇒ bad-tempered” because missing: talented, vivacious, inquisitive.
",0,5
"Facts:  Alice is smart [PERIOD] Alice is anxious [PERIOD] Alice is crowded [PERIOD] Alice is strange [PERIOD] Alice is vivacious [PERIOD] Alice is outrageous [PERIOD] Alice is shy [PERIOD] Alice is stupid [PERIOD] Alice is inquisitive [PERIOD] Alice is fancy [PERIOD] Alice is agreeable [PERIOD]
Rules:
strange [AND] smart [AND] bored [IMPLY] anxious [PERIOD]
confident [AND] fancy [IMPLY] reserved [PERIOD]
quaint [AND] confident [AND] reserved [IMPLY] long [PERIOD]
elegant [AND] agreeable [AND] fancy [IMPLY] quaint [PERIOD]
careless [IMPLY] proud [PERIOD]
fragile [AND] mean [IMPLY] crowded [PERIOD]
attentive [IMPLY] good [PERIOD]
shiny [AND] careless [AND] tired [IMPLY] outstanding [PERIOD]
mean [AND] fancy [AND] confident [IMPLY] smart [PERIOD]
tired [AND] adorable [IMPLY] shiny [PERIOD]
agreeable [AND] smart [IMPLY] good [PERIOD]
smart [AND] good [AND] mean [IMPLY] outstanding [PERIOD]
anxious [AND] inquisitive [AND] fancy [IMPLY] stupid [PERIOD]
enchanting [AND] long [AND] strange [IMPLY] inquisitive [PERIOD]
shiny [AND] hypocritical [IMPLY] bored [PERIOD]
bored [AND] smart [AND] enchanting [IMPLY] long [PERIOD]
agreeable [IMPLY] confident [PERIOD]
careless [AND] inquisitive [AND] tired [IMPLY] agreeable [PERIOD]
outstanding [AND] confident [AND] agreeable [IMPLY] proud [PERIOD]
long [IMPLY] crowded [PERIOD]
anxious [AND] enchanting [AND] fragile [IMPLY] shiny [PERIOD]
outstanding [IMPLY] enchanting [PERIOD]
hypocritical [AND] strange [IMPLY] crowded [PERIOD]
strange [AND] confident [AND] enchanting [IMPLY] reserved [PERIOD]
shy [AND] strange [AND] tired [IMPLY] elegant [PERIOD]
outrageous [AND] shy [IMPLY] inquisitive [PERIOD]
shiny [AND] strange [IMPLY] agreeable [PERIOD]
hypocritical [IMPLY] crowded [PERIOD]
adorable [IMPLY] hypocritical [PERIOD]
reserved [IMPLY] cruel [PERIOD]
smart [AND] anxious [IMPLY] adorable [PERIOD]
outrageous [AND] careless [IMPLY] cruel [PERIOD]
agreeable [AND] outstanding [IMPLY] elegant [PERIOD]
cruel [IMPLY] confident [PERIOD]
long [AND] inquisitive [IMPLY] attentive [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
   agreeable ⇒ confident
   confident ∧ fancy ⇒ reserved
",1,2
"Facts:  Alice is frantic [PERIOD] Alice is impatient [PERIOD] Alice is curious [PERIOD] Alice is fancy [PERIOD] Alice is excited [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
fancy [IMPLY] worried [PERIOD]
serious [AND] fancy [AND] amused [IMPLY] difficult [PERIOD]
frantic [AND] amused [AND] curious [IMPLY] bad-tempered [PERIOD]
talented [AND] joyous [IMPLY] naughty [PERIOD]
difficult [AND] smart [AND] old-fashioned [IMPLY] impatient [PERIOD]
naughty [IMPLY] excited [PERIOD]
fancy [AND] frantic [AND] bad-tempered [IMPLY] smart [PERIOD]
bright [AND] amused [AND] excited [IMPLY] serious [PERIOD]
old-fashioned [AND] excited [IMPLY] outrageous [PERIOD]
frantic [IMPLY] fragile [PERIOD]
pleasant [IMPLY] rational [PERIOD]
rational [AND] talented [AND] outrageous [IMPLY] worried [PERIOD]
aggressive [IMPLY] ugliest [PERIOD]
smart [AND] joyous [IMPLY] worried [PERIOD]
fancy [AND] bright [IMPLY] ugliest [PERIOD]
old-fashioned [IMPLY] bad-tempered [PERIOD]
ugliest [AND] serious [AND] bright [IMPLY] naughty [PERIOD]
aggressive [IMPLY] ambitious [PERIOD]
joyous [IMPLY] vivacious [PERIOD]
difficult [AND] aggressive [IMPLY] bad-tempered [PERIOD]
smart [AND] excited [AND] old-fashioned [IMPLY] ugliest [PERIOD]
outrageous [AND] fragile [AND] rational [IMPLY] naughty [PERIOD]
curious [IMPLY] worried [PERIOD]
difficult [AND] bright [IMPLY] ugliest [PERIOD]
smart [IMPLY] bright [PERIOD]
difficult [AND] old-fashioned [IMPLY] impatient [PERIOD]
bad-tempered [IMPLY] naughty [PERIOD]
ambitious [AND] old-fashioned [IMPLY] naughty [PERIOD]
aggressive [IMPLY] excited [PERIOD]
vivacious [AND] fragile [IMPLY] old-fashioned [PERIOD]
ambitious [IMPLY] smart [PERIOD]
amused [AND] curious [IMPLY] bad-tempered [PERIOD]
rational [IMPLY] aggressive [PERIOD]
disobedient [AND] old-fashioned [IMPLY] vivacious [PERIOD]
worried [AND] excited [IMPLY] amused [PERIOD]
bright [AND] bad-tempered [AND] ugliest [IMPLY] joyous [PERIOD]
old-fashioned [AND] ugliest [IMPLY] smart [PERIOD]
ugliest [IMPLY] naughty [PERIOD]
excited [AND] frantic [AND] aggressive [IMPLY] outrageous [PERIOD]
fragile [AND] frantic [AND] amused [IMPLY] ugliest [PERIOD]
fancy [AND] pleasant [AND] ambitious [IMPLY] serious [PERIOD]
amused [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] talented [AND] amused [IMPLY] vivacious [PERIOD]
talented [AND] fancy [AND] disobedient [IMPLY] fragile [PERIOD]
difficult [AND] bad-tempered [IMPLY] joyous [PERIOD]
ugliest [AND] bad-tempered [IMPLY] rational [PERIOD]
curious [IMPLY] rational [PERIOD]
bad-tempered [AND] outrageous [AND] ugliest [IMPLY] ambitious [PERIOD]
bad-tempered [IMPLY] frantic [PERIOD]
outrageous [AND] impatient [AND] curious [IMPLY] excited [PERIOD]
ambitious [IMPLY] frantic [PERIOD]
joyous [IMPLY] disobedient [PERIOD]
serious [AND] joyous [IMPLY] curious [PERIOD]
difficult [IMPLY] old-fashioned [PERIOD]
talented [AND] worried [AND] pleasant [IMPLY] fragile [PERIOD]
old-fashioned [IMPLY] naughty [PERIOD]
fragile [AND] joyous [IMPLY] curious [PERIOD]
difficult [AND] disobedient [AND] serious [IMPLY] pleasant [PERIOD]
worried [AND] vivacious [AND] difficult [IMPLY] fancy [PERIOD]
ambitious [IMPLY] outrageous [PERIOD]
serious [IMPLY] joyous [PERIOD]
worried [IMPLY] frantic [PERIOD]
difficult [AND] outrageous [IMPLY] ambitious [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
   No rule concludes “talented.”
",0,1
"Facts:  Alice is wandering [PERIOD] Alice is crowded [PERIOD] Alice is confident [PERIOD]
Rules:
bad-tempered [AND] aggressive [IMPLY] unpleasant [PERIOD]
confident [AND] bored [IMPLY] foolish [PERIOD]
lonely [AND] unpleasant [AND] crowded [IMPLY] zealous [PERIOD]
wandering [AND] lonely [AND] bad-tempered [IMPLY] bored [PERIOD]
foolish [AND] courageous [IMPLY] unpleasant [PERIOD]
bad-tempered [IMPLY] foolish [PERIOD]
bad-tempered [AND] condemned [IMPLY] mean [PERIOD]
fancy [AND] zealous [AND] mean [IMPLY] comfortable [PERIOD]
wandering [AND] foolish [IMPLY] charming [PERIOD]
busy [AND] rude [AND] lonely [IMPLY] bad-tempered [PERIOD]
fancy [IMPLY] wandering [PERIOD]
wandering [IMPLY] inquisitive [PERIOD]
confident [IMPLY] bad-tempered [PERIOD]
confident [AND] crowded [AND] inquisitive [IMPLY] rude [PERIOD]
wandering [AND] aggressive [IMPLY] bored [PERIOD]
crowded [AND] horrible [IMPLY] aggressive [PERIOD]
comfortable [AND] wandering [IMPLY] zealous [PERIOD]
unpleasant [IMPLY] gorgeous [PERIOD]
lonely [AND] horrible [AND] foolish [IMPLY] courageous [PERIOD]
aggressive [AND] busy [IMPLY] foolish [PERIOD]
lonely [AND] bad-tempered [AND] comfortable [IMPLY] zealous [PERIOD]
lonely [AND] confident [AND] inquisitive [IMPLY] busy [PERIOD]
comfortable [IMPLY] zealous [PERIOD]
mean [IMPLY] rude [PERIOD]
rude [AND] charming [AND] fancy [IMPLY] confident [PERIOD]
bored [AND] gorgeous [AND] inquisitive [IMPLY] ugly [PERIOD]
bored [AND] aggressive [AND] busy [IMPLY] unpleasant [PERIOD]
bored [AND] comfortable [IMPLY] crowded [PERIOD]
ugly [IMPLY] aggressive [PERIOD]
courageous [AND] unpleasant [AND] crowded [IMPLY] gorgeous [PERIOD]
unpleasant [AND] fancy [AND] gorgeous [IMPLY] aggressive [PERIOD]
wandering [IMPLY] bad-tempered [PERIOD]
gorgeous [AND] lonely [AND] wandering [IMPLY] busy [PERIOD]
horrible [IMPLY] crowded [PERIOD]
lonely [AND] inquisitive [AND] mean [IMPLY] courageous [PERIOD]
ugly [AND] courageous [AND] bad-tempered [IMPLY] confident [PERIOD]
bad-tempered [IMPLY] unpleasant [PERIOD]
courageous [AND] lonely [AND] charming [IMPLY] wandering [PERIOD]
crowded [AND] inquisitive [AND] bad-tempered [IMPLY] courageous [PERIOD]
foolish [IMPLY] gorgeous [PERIOD]
foolish [AND] crowded [AND] mean [IMPLY] unpleasant [PERIOD]
busy [AND] confident [IMPLY] courageous [PERIOD]
bored [IMPLY] aggressive [PERIOD]
bad-tempered [IMPLY] rude [PERIOD]
charming [IMPLY] aggressive [PERIOD]
bad-tempered [AND] fancy [IMPLY] inquisitive [PERIOD]
inquisitive [AND] fancy [IMPLY] busy [PERIOD]
confident [AND] aggressive [IMPLY] foolish [PERIOD]
horrible [AND] inquisitive [AND] busy [IMPLY] crowded [PERIOD]
confident [AND] lonely [IMPLY] courageous [PERIOD]
condemned [IMPLY] ugly [PERIOD]
wandering [AND] bored [IMPLY] ugly [PERIOD]
unpleasant [AND] crowded [AND] fancy [IMPLY] confident [PERIOD]
confident [AND] lonely [IMPLY] rude [PERIOD]
comfortable [AND] lonely [AND] aggressive [IMPLY] mean [PERIOD]
aggressive [AND] charming [AND] inquisitive [IMPLY] courageous [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   confident ⇒ bad-tempered
   Cannot apply rule “bad-tempered ∧ condemned ⇒ mean” because missing: condemned.
   confident ⇒ bad-tempered
   bad-tempered ⇒ foolish
   wandering ∧ foolish ⇒ charming
   charming ⇒ aggressive
   Cannot apply rule “comfortable ∧ lonely ∧ aggressive ⇒ mean” because missing: comfortable, lonely.
",0,7
"Facts:  Alice is grumpy [PERIOD] Alice is elated [PERIOD] Alice is strange [PERIOD] Alice is mysterious [PERIOD] Alice is stupid [PERIOD] Alice is troubled [PERIOD]
Rules:
dishonest [AND] troubled [IMPLY] elated [PERIOD]
tired [IMPLY] disgusted [PERIOD]
disgusted [AND] confused [IMPLY] mysterious [PERIOD]
disgusted [IMPLY] stupid [PERIOD]
mysterious [IMPLY] grumpy [PERIOD]
strange [AND] messy [AND] dishonest [IMPLY] disgusted [PERIOD]
disgusted [AND] tired [AND] confused [IMPLY] grumpy [PERIOD]
confused [AND] strange [IMPLY] grumpy [PERIOD]
mysterious [IMPLY] disgusted [PERIOD]
confused [IMPLY] tired [PERIOD]
strange [IMPLY] dishonest [PERIOD]
strange [AND] grumpy [AND] troubled [IMPLY] messy [PERIOD]
serious [IMPLY] stupid [PERIOD]
disobedient [IMPLY] serious [PERIOD]
elated [IMPLY] mysterious [PERIOD]
confused [AND] serious [AND] elated [IMPLY] messy [PERIOD]
stupid [AND] messy [AND] troubled [IMPLY] grumpy [PERIOD]
troubled [AND] elated [AND] strange [IMPLY] serious [PERIOD]
disgusted [IMPLY] strange [PERIOD]
grumpy [AND] disobedient [IMPLY] confused [PERIOD]
grumpy [AND] serious [AND] confused [IMPLY] troubled [PERIOD]
tired [AND] serious [AND] strange [IMPLY] troubled [PERIOD]
grumpy [AND] disgusted [IMPLY] stupid [PERIOD]
confused [AND] mysterious [AND] disobedient [IMPLY] elated [PERIOD]
strange [IMPLY] disobedient [PERIOD]
messy [IMPLY] strange [PERIOD]
serious [AND] disgusted [AND] elated [IMPLY] messy [PERIOD]
grumpy [IMPLY] messy [PERIOD]
troubled [AND] serious [IMPLY] elated [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is clumsy [PERIOD] Alice is distinct [PERIOD] Alice is horrible [PERIOD] Alice is light [PERIOD] Alice is loving [PERIOD] Alice is witty [PERIOD] Alice is busy [PERIOD] Alice is shiny [PERIOD] Alice is hurt [PERIOD]
Rules:
hurt [AND] witty [AND] sensible [IMPLY] enchanting [PERIOD]
glamorous [AND] stormy [IMPLY] troubled [PERIOD]
clumsy [AND] light [AND] glamorous [IMPLY] quaint [PERIOD]
glamorous [AND] busy [IMPLY] enchanting [PERIOD]
witty [IMPLY] distinct [PERIOD]
attentive [AND] distinct [IMPLY] stormy [PERIOD]
difficult [AND] hurt [IMPLY] stormy [PERIOD]
shiny [AND] tender [IMPLY] attentive [PERIOD]
blushing [AND] sensible [AND] difficult [IMPLY] troubled [PERIOD]
impatient [AND] frail [AND] attentive [IMPLY] quaint [PERIOD]
light [AND] troubled [AND] glamorous [IMPLY] frail [PERIOD]
busy [AND] distinct [AND] attentive [IMPLY] sensible [PERIOD]
quaint [AND] witty [IMPLY] distinct [PERIOD]
attentive [AND] distinct [IMPLY] sensible [PERIOD]
witty [IMPLY] sensible [PERIOD]
distinct [IMPLY] glamorous [PERIOD]
difficult [IMPLY] busy [PERIOD]
loving [IMPLY] shiny [PERIOD]
blushing [AND] horrible [IMPLY] distinct [PERIOD]
loving [AND] difficult [AND] sensible [IMPLY] glamorous [PERIOD]
distinct [IMPLY] light [PERIOD]
horrible [IMPLY] loving [PERIOD]
distinct [AND] busy [IMPLY] blushing [PERIOD]
shiny [AND] enchanting [IMPLY] witty [PERIOD]
witty [AND] busy [IMPLY] hurt [PERIOD]
troubled [AND] hurt [AND] loving [IMPLY] glamorous [PERIOD]
horrible [IMPLY] quaint [PERIOD]
shiny [AND] stormy [AND] enchanting [IMPLY] blushing [PERIOD]
troubled [IMPLY] blushing [PERIOD]
quaint [AND] clumsy [IMPLY] loving [PERIOD]
impatient [AND] sensible [IMPLY] horrible [PERIOD]
attentive [IMPLY] blushing [PERIOD]
light [AND] witty [AND] glamorous [IMPLY] impatient [PERIOD]
glamorous [AND] frail [AND] quaint [IMPLY] clumsy [PERIOD]
loving [IMPLY] quaint [PERIOD]
loving [AND] difficult [AND] glamorous [IMPLY] impatient [PERIOD]
shiny [AND] loving [IMPLY] light [PERIOD]
tender [AND] frail [IMPLY] quaint [PERIOD]
hurt [IMPLY] attentive [PERIOD]
horrible [AND] loving [IMPLY] busy [PERIOD]
hurt [AND] enchanting [IMPLY] difficult [PERIOD]
enchanting [AND] difficult [AND] sensible [IMPLY] glamorous [PERIOD]
shiny [AND] horrible [AND] loving [IMPLY] hurt [PERIOD]
tender [AND] blushing [AND] distinct [IMPLY] busy [PERIOD]
blushing [AND] tender [IMPLY] enchanting [PERIOD]
shiny [AND] witty [AND] busy [IMPLY] distinct [PERIOD]
impatient [AND] stormy [IMPLY] light [PERIOD]
quaint [IMPLY] distinct [PERIOD]
hurt [AND] blushing [IMPLY] tender [PERIOD]
stormy [AND] frail [AND] difficult [IMPLY] distinct [PERIOD]
impatient [AND] difficult [IMPLY] frail [PERIOD]
witty [AND] shiny [IMPLY] clumsy [PERIOD]
difficult [AND] sensible [IMPLY] stormy [PERIOD]
clumsy [IMPLY] distinct [PERIOD]
hurt [AND] difficult [AND] sensible [IMPLY] blushing [PERIOD]
shiny [AND] enchanting [IMPLY] glamorous [PERIOD]
tender [AND] stormy [AND] blushing [IMPLY] attentive [PERIOD]
quaint [AND] tender [IMPLY] clumsy [PERIOD]
tender [IMPLY] quaint [PERIOD]
shiny [AND] frail [AND] blushing [IMPLY] distinct [PERIOD]
clumsy [IMPLY] stormy [PERIOD]
attentive [AND] impatient [IMPLY] clumsy [PERIOD]
impatient [IMPLY] busy [PERIOD]
glamorous [IMPLY] busy [PERIOD]
attentive [IMPLY] shiny [PERIOD]
tender [AND] quaint [IMPLY] enchanting [PERIOD]
quaint [IMPLY] horrible [PERIOD]
shiny [IMPLY] witty [PERIOD]
busy [AND] blushing [IMPLY] loving [PERIOD]
sensible [AND] shiny [IMPLY] loving [PERIOD]
frail [AND] shiny [AND] difficult [IMPLY] troubled [PERIOD]
impatient [AND] light [AND] clumsy [IMPLY] sensible [PERIOD]
horrible [AND] quaint [IMPLY] tender [PERIOD]
horrible [AND] shiny [AND] tender [IMPLY] light [PERIOD]
enchanting [AND] clumsy [IMPLY] loving [PERIOD]
quaint [AND] clumsy [IMPLY] stormy [PERIOD]
loving [IMPLY] clumsy [PERIOD]
distinct [IMPLY] quaint [PERIOD]
enchanting [IMPLY] attentive [PERIOD]
impatient [AND] witty [AND] troubled [IMPLY] shiny [PERIOD]
light [AND] tender [AND] distinct [IMPLY] loving [PERIOD]
light [AND] clumsy [IMPLY] sensible [PERIOD]
sensible [IMPLY] tender [PERIOD]
shiny [IMPLY] loving [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   distinct ⇒ quaint
",1,1
"Facts:  Alice is stubborn [PERIOD] Alice is pessimistic [PERIOD] Alice is calm [PERIOD] Alice is inquisitive [PERIOD] Alice is confident [PERIOD] Alice is gifted [PERIOD] Alice is hypocritical [PERIOD]
Rules:
bored [AND] silly [IMPLY] frantic [PERIOD]
mysterious [IMPLY] different [PERIOD]
calm [AND] gifted [IMPLY] stubborn [PERIOD]
confident [AND] blushing [IMPLY] hypocritical [PERIOD]
intellectual [IMPLY] grumpy [PERIOD]
worrisome [IMPLY] confident [PERIOD]
unpleasant [IMPLY] pessimistic [PERIOD]
helpful [AND] stubborn [IMPLY] different [PERIOD]
helpful [AND] pessimistic [IMPLY] grumpy [PERIOD]
bored [AND] confident [AND] different [IMPLY] agreeable [PERIOD]
stubborn [AND] grumpy [AND] blushing [IMPLY] worrisome [PERIOD]
grumpy [AND] inquisitive [AND] worrisome [IMPLY] intellectual [PERIOD]
worrisome [IMPLY] bored [PERIOD]
mysterious [AND] frantic [IMPLY] bored [PERIOD]
worrisome [AND] frantic [AND] confident [IMPLY] calm [PERIOD]
inquisitive [IMPLY] silly [PERIOD]
gifted [AND] helpful [IMPLY] unpleasant [PERIOD]
hypocritical [IMPLY] gifted [PERIOD]
mysterious [IMPLY] pessimistic [PERIOD]
stubborn [AND] gifted [IMPLY] bored [PERIOD]
helpful [IMPLY] stubborn [PERIOD]
calm [AND] silly [AND] blushing [IMPLY] agreeable [PERIOD]
silly [AND] intellectual [IMPLY] calm [PERIOD]
silly [AND] confident [AND] helpful [IMPLY] stubborn [PERIOD]
intellectual [IMPLY] bored [PERIOD]
pessimistic [AND] helpful [AND] calm [IMPLY] mysterious [PERIOD]
helpful [AND] unpleasant [AND] hypocritical [IMPLY] blushing [PERIOD]
silly [AND] grumpy [AND] helpful [IMPLY] blushing [PERIOD]
worrisome [IMPLY] inquisitive [PERIOD]
grumpy [AND] blushing [AND] gifted [IMPLY] inquisitive [PERIOD]
worrisome [AND] blushing [IMPLY] stubborn [PERIOD]
intellectual [AND] hypocritical [IMPLY] grumpy [PERIOD]
frantic [AND] grumpy [AND] inquisitive [IMPLY] worrisome [PERIOD]
gifted [AND] worrisome [AND] inquisitive [IMPLY] calm [PERIOD]
worrisome [AND] gifted [AND] frantic [IMPLY] mysterious [PERIOD]
mysterious [AND] confident [IMPLY] grumpy [PERIOD]
stubborn [AND] frantic [IMPLY] helpful [PERIOD]
inquisitive [AND] pessimistic [AND] bored [IMPLY] worrisome [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   stubborn ∧ gifted ⇒ bored
   inquisitive ∧ pessimistic ∧ bored ⇒ worrisome
   stubborn ∧ gifted ⇒ bored
   inquisitive ⇒ silly
   bored ∧ silly ⇒ frantic
   worrisome ∧ gifted ∧ frantic ⇒ mysterious
",1,6
"Facts: 
Rules:
inexpensive [AND] helpful [IMPLY] agreeable [PERIOD]
charming [AND] rational [IMPLY] confused [PERIOD]
charming [AND] rational [AND] confused [IMPLY] disobedient [PERIOD]
agreeable [AND] inexpensive [IMPLY] wide-eyed [PERIOD]
rational [IMPLY] confused [PERIOD]
confused [AND] inexpensive [IMPLY] disobedient [PERIOD]
agreeable [AND] charming [IMPLY] inexpensive [PERIOD]
wide-eyed [IMPLY] confused [PERIOD]
confused [AND] rational [IMPLY] agreeable [PERIOD]
charming [AND] helpful [IMPLY] wide-eyed [PERIOD]
helpful [AND] wide-eyed [AND] confused [IMPLY] charming [PERIOD]
helpful [IMPLY] disobedient [PERIOD]
inexpensive [AND] disobedient [IMPLY] confused [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   Cannot apply rule “inexpensive ∧ helpful ⇒ agreeable” because missing: inexpensive, helpful.
   Cannot apply rule “confused ∧ rational ⇒ agreeable” because missing: confused, rational.
",0,2
"Facts:  Alice is charming [PERIOD] Alice is exuberant [PERIOD] Alice is hurt [PERIOD] Alice is average [PERIOD] Alice is clean [PERIOD] Alice is proud [PERIOD] Alice is distinct [PERIOD] Alice is polite [PERIOD] Alice is strange [PERIOD] Alice is old-fashioned [PERIOD] Alice is aggressive [PERIOD] Alice is gorgeous [PERIOD] Alice is victorious [PERIOD] Alice is cruel [PERIOD] Alice is impatient [PERIOD] Alice is plain [PERIOD]
Rules:
impatient [IMPLY] ugliest [PERIOD]
friendly [IMPLY] old-fashioned [PERIOD]
charming [AND] polite [AND] distinct [IMPLY] strange [PERIOD]
charming [AND] old-fashioned [AND] friendly [IMPLY] gifted [PERIOD]
plain [AND] impatient [IMPLY] alert [PERIOD]
polite [AND] clean [IMPLY] precious [PERIOD]
hurt [AND] cruel [AND] exuberant [IMPLY] old-fashioned [PERIOD]
precious [IMPLY] thoughtless [PERIOD]
friendly [AND] alert [IMPLY] proud [PERIOD]
cruel [AND] ugliest [AND] impatient [IMPLY] precious [PERIOD]
charming [AND] strange [AND] exuberant [IMPLY] friendly [PERIOD]
precious [AND] polite [IMPLY] distinct [PERIOD]
clean [IMPLY] charming [PERIOD]
victorious [AND] clean [IMPLY] friendly [PERIOD]
aggressive [AND] proud [IMPLY] strange [PERIOD]
hurt [AND] mysterious [AND] clean [IMPLY] gifted [PERIOD]
distinct [AND] mysterious [AND] average [IMPLY] strange [PERIOD]
proud [AND] aggressive [AND] exuberant [IMPLY] alert [PERIOD]
proud [AND] victorious [AND] thoughtless [IMPLY] strange [PERIOD]
cruel [AND] gifted [IMPLY] impatient [PERIOD]
plain [IMPLY] friendly [PERIOD]
gorgeous [AND] strange [IMPLY] gifted [PERIOD]
old-fashioned [IMPLY] proud [PERIOD]
charming [AND] gorgeous [IMPLY] impatient [PERIOD]
old-fashioned [AND] average [AND] friendly [IMPLY] exuberant [PERIOD]
friendly [AND] polite [IMPLY] precious [PERIOD]
exuberant [IMPLY] plain [PERIOD]
ugliest [IMPLY] clean [PERIOD]
thoughtless [AND] impatient [IMPLY] exuberant [PERIOD]
gorgeous [IMPLY] distinct [PERIOD]
impatient [AND] average [AND] friendly [IMPLY] precious [PERIOD]
aggressive [AND] precious [AND] mysterious [IMPLY] charming [PERIOD]
proud [AND] old-fashioned [AND] gifted [IMPLY] precious [PERIOD]
thoughtless [AND] exuberant [IMPLY] strange [PERIOD]
victorious [IMPLY] cruel [PERIOD]
charming [IMPLY] ugliest [PERIOD]
distinct [AND] proud [IMPLY] friendly [PERIOD]
ugliest [AND] charming [AND] proud [IMPLY] thoughtless [PERIOD]
exuberant [AND] friendly [AND] old-fashioned [IMPLY] proud [PERIOD]
impatient [AND] exuberant [AND] victorious [IMPLY] gorgeous [PERIOD]
proud [AND] distinct [AND] exuberant [IMPLY] old-fashioned [PERIOD]
alert [IMPLY] polite [PERIOD]
aggressive [IMPLY] exuberant [PERIOD]
strange [AND] polite [IMPLY] alert [PERIOD]
gorgeous [AND] gifted [AND] ugliest [IMPLY] strange [PERIOD]
ugliest [AND] thoughtless [AND] precious [IMPLY] plain [PERIOD]
average [IMPLY] old-fashioned [PERIOD]
proud [AND] plain [IMPLY] gorgeous [PERIOD]
distinct [AND] polite [AND] hurt [IMPLY] exuberant [PERIOD]
gifted [AND] friendly [IMPLY] proud [PERIOD]
gifted [IMPLY] precious [PERIOD]
exuberant [AND] mysterious [IMPLY] charming [PERIOD]
strange [IMPLY] cruel [PERIOD]
cruel [AND] gorgeous [IMPLY] precious [PERIOD]
polite [AND] aggressive [IMPLY] mysterious [PERIOD]
plain [AND] thoughtless [IMPLY] old-fashioned [PERIOD]
gifted [IMPLY] charming [PERIOD]
distinct [AND] thoughtless [IMPLY] hurt [PERIOD]
alert [AND] victorious [IMPLY] polite [PERIOD]
hurt [AND] charming [AND] gifted [IMPLY] ugliest [PERIOD]
precious [IMPLY] old-fashioned [PERIOD]
polite [AND] precious [AND] hurt [IMPLY] friendly [PERIOD]
polite [AND] precious [IMPLY] gorgeous [PERIOD]
gorgeous [AND] ugliest [AND] precious [IMPLY] plain [PERIOD]
mysterious [IMPLY] clean [PERIOD]
alert [IMPLY] clean [PERIOD]
distinct [IMPLY] thoughtless [PERIOD]
charming [AND] thoughtless [AND] impatient [IMPLY] average [PERIOD]
ugliest [AND] proud [AND] plain [IMPLY] strange [PERIOD]
cruel [AND] average [IMPLY] thoughtless [PERIOD]
victorious [AND] strange [IMPLY] impatient [PERIOD]
thoughtless [AND] gifted [IMPLY] alert [PERIOD]
distinct [AND] precious [IMPLY] polite [PERIOD]
precious [AND] victorious [IMPLY] thoughtless [PERIOD]
alert [IMPLY] exuberant [PERIOD]
polite [IMPLY] clean [PERIOD]
old-fashioned [IMPLY] gorgeous [PERIOD]
alert [IMPLY] thoughtless [PERIOD]
mysterious [AND] victorious [IMPLY] plain [PERIOD]
exuberant [IMPLY] polite [PERIOD]
friendly [AND] hurt [AND] aggressive [IMPLY] proud [PERIOD]
friendly [AND] average [IMPLY] distinct [PERIOD]
aggressive [AND] distinct [IMPLY] strange [PERIOD]
friendly [IMPLY] victorious [PERIOD]
precious [AND] hurt [AND] victorious [IMPLY] ugliest [PERIOD]
thoughtless [IMPLY] gorgeous [PERIOD]
strange [AND] victorious [AND] gifted [IMPLY] gorgeous [PERIOD]
polite [IMPLY] alert [PERIOD]
mysterious [IMPLY] average [PERIOD]
gorgeous [AND] aggressive [IMPLY] victorious [PERIOD]
victorious [AND] precious [IMPLY] exuberant [PERIOD]
Query: Alice is cruel [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is busy [PERIOD]
Rules:
busy [AND] worried [AND] elegant [IMPLY] uptight [PERIOD]
enchanting [IMPLY] easy [PERIOD]
joyous [AND] different [IMPLY] mysterious [PERIOD]
easy [AND] different [AND] tense [IMPLY] busy [PERIOD]
busy [AND] enchanting [AND] joyous [IMPLY] foolish [PERIOD]
joyous [AND] disobedient [IMPLY] elegant [PERIOD]
difficult [AND] worried [AND] old-fashioned [IMPLY] distinct [PERIOD]
elegant [AND] uptight [AND] busy [IMPLY] distinct [PERIOD]
attractive [IMPLY] disobedient [PERIOD]
easy [AND] tense [AND] mysterious [IMPLY] enchanting [PERIOD]
tense [IMPLY] uptight [PERIOD]
old-fashioned [AND] foolish [AND] busy [IMPLY] attractive [PERIOD]
attractive [IMPLY] worried [PERIOD]
distinct [IMPLY] enchanting [PERIOD]
easy [IMPLY] enchanting [PERIOD]
tense [IMPLY] different [PERIOD]
joyous [AND] busy [IMPLY] difficult [PERIOD]
joyous [IMPLY] different [PERIOD]
busy [AND] old-fashioned [IMPLY] different [PERIOD]
mysterious [AND] joyous [AND] enchanting [IMPLY] distinct [PERIOD]
old-fashioned [IMPLY] enchanting [PERIOD]
difficult [AND] easy [AND] mysterious [IMPLY] elegant [PERIOD]
foolish [AND] busy [AND] attractive [IMPLY] old-fashioned [PERIOD]
busy [AND] enchanting [AND] worried [IMPLY] distinct [PERIOD]
mysterious [IMPLY] easy [PERIOD]
joyous [IMPLY] difficult [PERIOD]
foolish [AND] busy [IMPLY] difficult [PERIOD]
distinct [IMPLY] joyous [PERIOD]
uptight [AND] different [IMPLY] old-fashioned [PERIOD]
joyous [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] tense [PERIOD]
busy [IMPLY] uptight [PERIOD]
different [IMPLY] joyous [PERIOD]
busy [IMPLY] worried [PERIOD]
distinct [IMPLY] difficult [PERIOD]
uptight [AND] disobedient [AND] busy [IMPLY] distinct [PERIOD]
tense [AND] foolish [IMPLY] elegant [PERIOD]
enchanting [AND] worried [IMPLY] different [PERIOD]
mysterious [AND] worried [IMPLY] foolish [PERIOD]
distinct [IMPLY] elegant [PERIOD]
uptight [IMPLY] mysterious [PERIOD]
worried [AND] elegant [IMPLY] disobedient [PERIOD]
distinct [IMPLY] tense [PERIOD]
easy [IMPLY] joyous [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   busy ⇒ uptight
   busy ⇒ uptight
   uptight ⇒ mysterious
   mysterious ⇒ tense
   tense ⇒ different
   uptight ∧ different ⇒ old-fashioned
",1,6
"Facts:  Alice is smart [PERIOD] Alice is thoughtful [PERIOD] Alice is clumsy [PERIOD]
Rules:
naughty [AND] comfortable [IMPLY] different [PERIOD]
bright [IMPLY] joyous [PERIOD]
polite [AND] popular [AND] sincere [IMPLY] supportive [PERIOD]
good [IMPLY] bright [PERIOD]
rude [IMPLY] naughty [PERIOD]
joyous [AND] bright [AND] bored [IMPLY] polite [PERIOD]
attractive [IMPLY] polite [PERIOD]
naughty [AND] gleaming [IMPLY] bored [PERIOD]
thoughtful [AND] popular [AND] smart [IMPLY] perfect [PERIOD]
excited [AND] comfortable [IMPLY] sincere [PERIOD]
smart [AND] comfortable [AND] innocent [IMPLY] friendly [PERIOD]
vivacious [AND] perfect [IMPLY] rude [PERIOD]
pleasant [AND] adorable [IMPLY] elated [PERIOD]
gifted [AND] pleasant [IMPLY] bright [PERIOD]
gleaming [AND] pessimistic [AND] dull [IMPLY] popular [PERIOD]
excited [AND] elated [IMPLY] joyous [PERIOD]
polite [AND] naughty [AND] bright [IMPLY] elated [PERIOD]
attractive [IMPLY] smart [PERIOD]
vivacious [AND] bored [AND] supportive [IMPLY] friendly [PERIOD]
bright [AND] thoughtful [IMPLY] different [PERIOD]
gleaming [AND] popular [IMPLY] joyous [PERIOD]
dull [AND] bored [AND] clumsy [IMPLY] friendly [PERIOD]
polite [IMPLY] bored [PERIOD]
gifted [AND] different [AND] comfortable [IMPLY] pleasant [PERIOD]
dull [IMPLY] bored [PERIOD]
popular [IMPLY] clumsy [PERIOD]
excited [AND] rude [AND] polite [IMPLY] gleaming [PERIOD]
innocent [IMPLY] gleaming [PERIOD]
supportive [IMPLY] popular [PERIOD]
gleaming [IMPLY] lonely [PERIOD]
joyous [AND] adorable [IMPLY] lonely [PERIOD]
pleasant [AND] naughty [IMPLY] attractive [PERIOD]
perfect [IMPLY] different [PERIOD]
perfect [IMPLY] friendly [PERIOD]
naughty [AND] rude [IMPLY] polite [PERIOD]
joyous [AND] sincere [IMPLY] elated [PERIOD]
different [AND] thoughtful [AND] excited [IMPLY] comfortable [PERIOD]
different [IMPLY] perfect [PERIOD]
pessimistic [AND] naughty [AND] pleasant [IMPLY] different [PERIOD]
gifted [IMPLY] supportive [PERIOD]
good [AND] sincere [AND] vivacious [IMPLY] friendly [PERIOD]
innocent [IMPLY] vivacious [PERIOD]
gifted [AND] excited [AND] bright [IMPLY] dull [PERIOD]
rude [AND] excited [AND] thoughtful [IMPLY] sincere [PERIOD]
rude [IMPLY] vivacious [PERIOD]
dull [AND] gleaming [IMPLY] comfortable [PERIOD]
bored [AND] good [IMPLY] popular [PERIOD]
adorable [AND] lonely [AND] innocent [IMPLY] smart [PERIOD]
rude [IMPLY] supportive [PERIOD]
elated [AND] perfect [IMPLY] different [PERIOD]
dull [AND] comfortable [AND] adorable [IMPLY] bored [PERIOD]
elated [IMPLY] popular [PERIOD]
polite [AND] supportive [AND] pessimistic [IMPLY] naughty [PERIOD]
sincere [IMPLY] rude [PERIOD]
lonely [AND] gifted [AND] bright [IMPLY] friendly [PERIOD]
attractive [AND] thoughtful [IMPLY] vivacious [PERIOD]
pessimistic [IMPLY] excited [PERIOD]
thoughtful [AND] pessimistic [IMPLY] clumsy [PERIOD]
adorable [IMPLY] gifted [PERIOD]
lonely [IMPLY] vivacious [PERIOD]
thoughtful [IMPLY] sincere [PERIOD]
gifted [IMPLY] sincere [PERIOD]
lonely [AND] excited [IMPLY] perfect [PERIOD]
bright [AND] sincere [AND] thoughtful [IMPLY] good [PERIOD]
friendly [AND] excited [IMPLY] good [PERIOD]
joyous [AND] good [AND] sincere [IMPLY] attractive [PERIOD]
good [AND] attractive [IMPLY] excited [PERIOD]
polite [AND] sincere [IMPLY] thoughtful [PERIOD]
comfortable [AND] adorable [IMPLY] clumsy [PERIOD]
polite [AND] supportive [IMPLY] joyous [PERIOD]
elated [AND] dull [AND] rude [IMPLY] sincere [PERIOD]
gifted [AND] rude [AND] thoughtful [IMPLY] comfortable [PERIOD]
different [AND] excited [AND] elated [IMPLY] sincere [PERIOD]
smart [AND] good [IMPLY] thoughtful [PERIOD]
innocent [AND] lonely [IMPLY] popular [PERIOD]
excited [IMPLY] bored [PERIOD]
attractive [AND] lonely [IMPLY] dull [PERIOD]
bored [IMPLY] gifted [PERIOD]
different [IMPLY] gifted [PERIOD]
perfect [AND] dull [AND] adorable [IMPLY] naughty [PERIOD]
excited [AND] supportive [AND] bored [IMPLY] rude [PERIOD]
Query: Alice is bored [PERIOD]","Proof chain:
   thoughtful ⇒ sincere
   sincere ⇒ rude
   rude ⇒ naughty
   thoughtful ⇒ sincere
   sincere ⇒ rude
   naughty ∧ rude ⇒ polite
   polite ⇒ bored
",1,7
"Facts:  Alice is mean [PERIOD] Alice is outstanding [PERIOD] Alice is wide-eyed [PERIOD] Alice is homely [PERIOD] Alice is sleepy [PERIOD] Alice is good [PERIOD] Alice is victorious [PERIOD]
Rules:
mean [IMPLY] famous [PERIOD]
blushing [AND] beautiful [AND] wide-eyed [IMPLY] victorious [PERIOD]
mean [AND] victorious [IMPLY] vivacious [PERIOD]
famous [AND] homely [IMPLY] lucky [PERIOD]
beautiful [AND] victorious [IMPLY] lucky [PERIOD]
innocent [AND] good [IMPLY] vivacious [PERIOD]
outstanding [AND] shiny [AND] clumsy [IMPLY] long [PERIOD]
aggressive [AND] light [IMPLY] long [PERIOD]
homely [AND] shiny [IMPLY] outstanding [PERIOD]
sleepy [AND] good [AND] outstanding [IMPLY] light [PERIOD]
mean [AND] sleepy [IMPLY] cute [PERIOD]
lucky [IMPLY] mean [PERIOD]
innocent [IMPLY] shiny [PERIOD]
frightened [AND] homely [AND] good [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] vivacious [IMPLY] cute [PERIOD]
rude [AND] outstanding [IMPLY] lucky [PERIOD]
homely [IMPLY] foolish [PERIOD]
mean [AND] clumsy [IMPLY] famous [PERIOD]
hypocritical [IMPLY] good [PERIOD]
clumsy [AND] outstanding [AND] wide-eyed [IMPLY] long [PERIOD]
sleepy [IMPLY] wide-eyed [PERIOD]
light [AND] lucky [AND] blushing [IMPLY] vivacious [PERIOD]
blushing [AND] mean [AND] aggressive [IMPLY] rude [PERIOD]
clumsy [AND] adorable [IMPLY] sleepy [PERIOD]
famous [IMPLY] outstanding [PERIOD]
outstanding [AND] adorable [AND] blushing [IMPLY] sleepy [PERIOD]
innocent [AND] sleepy [AND] long [IMPLY] lucky [PERIOD]
famous [IMPLY] lucky [PERIOD]
wide-eyed [AND] innocent [IMPLY] vivacious [PERIOD]
rude [AND] aggressive [AND] homely [IMPLY] light [PERIOD]
clumsy [IMPLY] rude [PERIOD]
frightened [IMPLY] hypocritical [PERIOD]
lucky [IMPLY] clumsy [PERIOD]
shiny [AND] lucky [AND] cute [IMPLY] hypocritical [PERIOD]
frightened [AND] victorious [IMPLY] famous [PERIOD]
light [IMPLY] clumsy [PERIOD]
frightened [AND] light [AND] blushing [IMPLY] cute [PERIOD]
homely [AND] good [AND] famous [IMPLY] hypocritical [PERIOD]
foolish [AND] long [IMPLY] blushing [PERIOD]
frightened [AND] blushing [AND] shiny [IMPLY] victorious [PERIOD]
innocent [AND] good [AND] shiny [IMPLY] lucky [PERIOD]
light [AND] homely [AND] vivacious [IMPLY] popular [PERIOD]
rude [IMPLY] aggressive [PERIOD]
blushing [AND] light [AND] clumsy [IMPLY] aggressive [PERIOD]
hypocritical [AND] light [IMPLY] long [PERIOD]
beautiful [AND] rude [AND] outstanding [IMPLY] famous [PERIOD]
adorable [AND] aggressive [IMPLY] victorious [PERIOD]
aggressive [IMPLY] long [PERIOD]
shiny [AND] lucky [IMPLY] victorious [PERIOD]
shiny [AND] mean [AND] long [IMPLY] beautiful [PERIOD]
blushing [IMPLY] beautiful [PERIOD]
good [IMPLY] sleepy [PERIOD]
adorable [AND] shiny [AND] foolish [IMPLY] frightened [PERIOD]
vivacious [AND] rude [IMPLY] good [PERIOD]
outstanding [AND] long [IMPLY] wide-eyed [PERIOD]
famous [AND] good [IMPLY] cute [PERIOD]
clumsy [AND] famous [IMPLY] good [PERIOD]
hypocritical [AND] popular [AND] long [IMPLY] beautiful [PERIOD]
long [AND] outstanding [AND] aggressive [IMPLY] shiny [PERIOD]
famous [AND] mean [AND] foolish [IMPLY] rude [PERIOD]
shiny [AND] blushing [AND] victorious [IMPLY] long [PERIOD]
cute [AND] long [IMPLY] clumsy [PERIOD]
victorious [AND] innocent [AND] homely [IMPLY] hypocritical [PERIOD]
vivacious [IMPLY] popular [PERIOD]
aggressive [IMPLY] shiny [PERIOD]
foolish [AND] rude [IMPLY] cute [PERIOD]
aggressive [IMPLY] vivacious [PERIOD]
clumsy [IMPLY] light [PERIOD]
beautiful [AND] lucky [IMPLY] aggressive [PERIOD]
beautiful [IMPLY] long [PERIOD]
cute [AND] sleepy [IMPLY] frightened [PERIOD]
lucky [IMPLY] outstanding [PERIOD]
homely [AND] sleepy [AND] clumsy [IMPLY] rude [PERIOD]
mean [AND] foolish [IMPLY] blushing [PERIOD]
good [AND] rude [IMPLY] outstanding [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   homely ⇒ foolish
   mean ∧ foolish ⇒ blushing
   sleepy ∧ good ∧ outstanding ⇒ light
   sleepy ∧ good ∧ outstanding ⇒ light
   light ⇒ clumsy
   blushing ∧ light ∧ clumsy ⇒ aggressive
   aggressive ⇒ shiny
",1,7
"Facts:  Alice is helpful [PERIOD] Alice is easy [PERIOD] Alice is talented [PERIOD] Alice is impartial [PERIOD] Alice is disgusted [PERIOD] Alice is inexpensive [PERIOD] Alice is grumpy [PERIOD] Alice is outrageous [PERIOD] Alice is thoughtless [PERIOD] Alice is aggressive [PERIOD] Alice is broad-minded [PERIOD]
Rules:
hurt [AND] helpful [IMPLY] aggressive [PERIOD]
muddy [AND] helpful [IMPLY] troubled [PERIOD]
easy [IMPLY] agreeable [PERIOD]
confused [AND] hurt [AND] outrageous [IMPLY] agreeable [PERIOD]
stormy [AND] hurt [AND] disgusted [IMPLY] strange [PERIOD]
muddy [IMPLY] thoughtless [PERIOD]
glamorous [IMPLY] troubled [PERIOD]
confused [AND] broad-minded [AND] outrageous [IMPLY] hurt [PERIOD]
muddy [IMPLY] outrageous [PERIOD]
aggressive [AND] easy [AND] thoughtless [IMPLY] disgusted [PERIOD]
helpful [AND] troubled [AND] talented [IMPLY] hurt [PERIOD]
agreeable [AND] impartial [AND] grumpy [IMPLY] strange [PERIOD]
aggressive [AND] broad-minded [AND] inexpensive [IMPLY] hurt [PERIOD]
easy [AND] confused [AND] thoughtless [IMPLY] busy [PERIOD]
aggressive [AND] elated [IMPLY] troubled [PERIOD]
combative [IMPLY] glamorous [PERIOD]
glamorous [AND] troubled [AND] disgusted [IMPLY] elated [PERIOD]
elated [AND] outrageous [IMPLY] easy [PERIOD]
aggressive [AND] confused [IMPLY] agreeable [PERIOD]
aggressive [IMPLY] troubled [PERIOD]
aggressive [AND] outrageous [IMPLY] impartial [PERIOD]
easy [AND] disgusted [AND] glamorous [IMPLY] vivacious [PERIOD]
glamorous [AND] vivacious [AND] hurt [IMPLY] strange [PERIOD]
aggressive [IMPLY] impartial [PERIOD]
broad-minded [AND] stormy [IMPLY] vivacious [PERIOD]
busy [IMPLY] strange [PERIOD]
impartial [IMPLY] talented [PERIOD]
stormy [IMPLY] talented [PERIOD]
disgusted [AND] aggressive [AND] stormy [IMPLY] outrageous [PERIOD]
inexpensive [IMPLY] aggressive [PERIOD]
talented [AND] glamorous [IMPLY] busy [PERIOD]
inexpensive [IMPLY] thoughtless [PERIOD]
inexpensive [AND] outrageous [IMPLY] strange [PERIOD]
easy [IMPLY] muddy [PERIOD]
glamorous [AND] impartial [IMPLY] aggressive [PERIOD]
troubled [IMPLY] vivacious [PERIOD]
combative [AND] impartial [IMPLY] glamorous [PERIOD]
hurt [AND] elated [AND] broad-minded [IMPLY] busy [PERIOD]
disgusted [AND] strange [AND] broad-minded [IMPLY] combative [PERIOD]
busy [IMPLY] outrageous [PERIOD]
inexpensive [IMPLY] helpful [PERIOD]
disgusted [AND] elated [IMPLY] agreeable [PERIOD]
impartial [IMPLY] broad-minded [PERIOD]
hurt [AND] agreeable [AND] elated [IMPLY] broad-minded [PERIOD]
glamorous [AND] grumpy [AND] impartial [IMPLY] inexpensive [PERIOD]
elated [AND] aggressive [AND] confused [IMPLY] muddy [PERIOD]
aggressive [AND] glamorous [IMPLY] inexpensive [PERIOD]
muddy [AND] talented [AND] stormy [IMPLY] aggressive [PERIOD]
stormy [IMPLY] thoughtless [PERIOD]
helpful [IMPLY] broad-minded [PERIOD]
inexpensive [IMPLY] grumpy [PERIOD]
elated [AND] helpful [AND] broad-minded [IMPLY] combative [PERIOD]
outrageous [AND] vivacious [AND] troubled [IMPLY] easy [PERIOD]
troubled [AND] confused [AND] aggressive [IMPLY] easy [PERIOD]
muddy [AND] elated [IMPLY] thoughtless [PERIOD]
stormy [AND] outrageous [AND] muddy [IMPLY] troubled [PERIOD]
outrageous [IMPLY] easy [PERIOD]
combative [IMPLY] impartial [PERIOD]
vivacious [IMPLY] outrageous [PERIOD]
busy [AND] outrageous [IMPLY] hurt [PERIOD]
agreeable [AND] impartial [IMPLY] glamorous [PERIOD]
stormy [IMPLY] inexpensive [PERIOD]
aggressive [IMPLY] agreeable [PERIOD]
easy [AND] glamorous [IMPLY] talented [PERIOD]
muddy [AND] strange [AND] easy [IMPLY] inexpensive [PERIOD]
confused [AND] elated [AND] impartial [IMPLY] talented [PERIOD]
muddy [AND] talented [AND] disgusted [IMPLY] combative [PERIOD]
confused [AND] outrageous [AND] impartial [IMPLY] easy [PERIOD]
combative [AND] hurt [AND] stormy [IMPLY] strange [PERIOD]
helpful [AND] inexpensive [AND] combative [IMPLY] disgusted [PERIOD]
agreeable [AND] thoughtless [IMPLY] inexpensive [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   aggressive ⇒ agreeable
   agreeable ∧ impartial ⇒ glamorous
   aggressive ⇒ troubled
   glamorous ∧ troubled ∧ disgusted ⇒ elated
",1,4
"Facts:  Alice is cruel [PERIOD] Alice is hurt [PERIOD] Alice is hilarious [PERIOD] Alice is adorable [PERIOD] Alice is loving [PERIOD] Alice is outstanding [PERIOD] Alice is worried [PERIOD] Alice is talented [PERIOD] Alice is scared [PERIOD] Alice is rational [PERIOD] Alice is agreeable [PERIOD]
Rules:
inquisitive [IMPLY] worried [PERIOD]
busy [IMPLY] good [PERIOD]
busy [AND] worrisome [IMPLY] tame [PERIOD]
talkative [AND] good [IMPLY] tender [PERIOD]
foolish [AND] hilarious [IMPLY] tame [PERIOD]
tame [IMPLY] good [PERIOD]
inquisitive [AND] adorable [IMPLY] rational [PERIOD]
busy [AND] cruel [AND] beautiful [IMPLY] tender [PERIOD]
difficult [IMPLY] busy [PERIOD]
beautiful [AND] scared [AND] foolish [IMPLY] inquisitive [PERIOD]
scared [AND] talkative [IMPLY] cruel [PERIOD]
charming [IMPLY] talented [PERIOD]
busy [IMPLY] serious [PERIOD]
cruel [AND] charming [IMPLY] talkative [PERIOD]
beautiful [AND] tender [IMPLY] good [PERIOD]
worrisome [AND] hilarious [IMPLY] foolish [PERIOD]
gleaming [AND] vivacious [IMPLY] hilarious [PERIOD]
beautiful [AND] vivacious [AND] loving [IMPLY] courageous [PERIOD]
clean [AND] charming [AND] courageous [IMPLY] vivacious [PERIOD]
charming [AND] loving [AND] busy [IMPLY] tame [PERIOD]
hypocritical [AND] tame [AND] cruel [IMPLY] talented [PERIOD]
hurt [AND] tame [IMPLY] hypocritical [PERIOD]
hilarious [AND] bored [AND] worried [IMPLY] talented [PERIOD]
scared [AND] tame [IMPLY] difficult [PERIOD]
talented [AND] hilarious [AND] gleaming [IMPLY] worrisome [PERIOD]
rational [AND] talkative [IMPLY] gleaming [PERIOD]
scared [AND] hilarious [AND] talented [IMPLY] bored [PERIOD]
difficult [AND] clean [AND] hurt [IMPLY] bored [PERIOD]
hypocritical [IMPLY] scared [PERIOD]
inquisitive [AND] worrisome [AND] clean [IMPLY] outstanding [PERIOD]
adorable [AND] difficult [AND] inquisitive [IMPLY] clean [PERIOD]
cruel [AND] vivacious [IMPLY] foolish [PERIOD]
clean [IMPLY] hilarious [PERIOD]
rational [AND] serious [IMPLY] worried [PERIOD]
courageous [IMPLY] adorable [PERIOD]
bored [AND] worrisome [AND] worried [IMPLY] scared [PERIOD]
agreeable [AND] worrisome [AND] scared [IMPLY] clean [PERIOD]
agreeable [IMPLY] bored [PERIOD]
bored [AND] inquisitive [AND] worried [IMPLY] scared [PERIOD]
difficult [AND] busy [IMPLY] agreeable [PERIOD]
scared [IMPLY] hurt [PERIOD]
agreeable [AND] worried [IMPLY] vivacious [PERIOD]
beautiful [AND] hypocritical [AND] talkative [IMPLY] foolish [PERIOD]
hypocritical [AND] outstanding [AND] shiny [IMPLY] adorable [PERIOD]
foolish [AND] agreeable [IMPLY] worrisome [PERIOD]
busy [AND] loving [IMPLY] talented [PERIOD]
gleaming [IMPLY] tame [PERIOD]
scared [IMPLY] adorable [PERIOD]
hurt [IMPLY] adorable [PERIOD]
worried [IMPLY] bored [PERIOD]
worried [AND] hurt [IMPLY] talented [PERIOD]
hypocritical [IMPLY] talented [PERIOD]
adorable [IMPLY] hurt [PERIOD]
gleaming [AND] hypocritical [AND] serious [IMPLY] hurt [PERIOD]
shiny [AND] beautiful [AND] outstanding [IMPLY] bored [PERIOD]
adorable [AND] talented [IMPLY] agreeable [PERIOD]
difficult [AND] serious [IMPLY] rational [PERIOD]
courageous [AND] hurt [AND] agreeable [IMPLY] rational [PERIOD]
loving [IMPLY] rational [PERIOD]
scared [AND] clean [AND] good [IMPLY] foolish [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   agreeable ∧ worried ⇒ vivacious
   cruel ∧ vivacious ⇒ foolish
   foolish ∧ hilarious ⇒ tame
   scared ∧ tame ⇒ difficult
",1,4
"Facts:  Alice is hilarious [PERIOD] Alice is scared [PERIOD] Alice is easy [PERIOD] Alice is fancy [PERIOD]
Rules:
difficult [IMPLY] proud [PERIOD]
thoughtful [AND] stupid [AND] lucky [IMPLY] disgusted [PERIOD]
aggressive [IMPLY] scared [PERIOD]
dishonest [AND] tense [AND] cooperative [IMPLY] selfish [PERIOD]
selfish [IMPLY] frantic [PERIOD]
nervous [IMPLY] worrisome [PERIOD]
tense [AND] disobedient [AND] fine [IMPLY] cooperative [PERIOD]
worrisome [IMPLY] stupid [PERIOD]
easy [IMPLY] worrisome [PERIOD]
easy [AND] thoughtful [IMPLY] aggressive [PERIOD]
friendly [IMPLY] cooperative [PERIOD]
fine [IMPLY] aggressive [PERIOD]
fine [AND] selfish [AND] cooperative [IMPLY] difficult [PERIOD]
stupid [IMPLY] disgusted [PERIOD]
thoughtful [AND] difficult [IMPLY] worrisome [PERIOD]
thoughtful [AND] tense [IMPLY] cooperative [PERIOD]
hilarious [AND] lucky [AND] selfish [IMPLY] anxious [PERIOD]
disgusted [AND] difficult [AND] anxious [IMPLY] aggressive [PERIOD]
disobedient [AND] difficult [AND] scared [IMPLY] stupid [PERIOD]
hilarious [AND] aggressive [IMPLY] cooperative [PERIOD]
selfish [IMPLY] dishonest [PERIOD]
cooperative [IMPLY] hilarious [PERIOD]
proud [IMPLY] anxious [PERIOD]
anxious [IMPLY] selfish [PERIOD]
disgusted [AND] difficult [AND] cooperative [IMPLY] disobedient [PERIOD]
selfish [AND] dishonest [AND] aggressive [IMPLY] tense [PERIOD]
nervous [AND] fancy [IMPLY] difficult [PERIOD]
dishonest [AND] lucky [IMPLY] selfish [PERIOD]
aggressive [AND] frantic [AND] hilarious [IMPLY] difficult [PERIOD]
stupid [AND] tense [AND] cooperative [IMPLY] fancy [PERIOD]
friendly [AND] disobedient [AND] anxious [IMPLY] easy [PERIOD]
selfish [AND] hilarious [IMPLY] aggressive [PERIOD]
hilarious [AND] selfish [AND] frantic [IMPLY] cooperative [PERIOD]
worrisome [AND] fine [AND] anxious [IMPLY] stupid [PERIOD]
worrisome [IMPLY] aggressive [PERIOD]
disgusted [AND] stubborn [AND] dishonest [IMPLY] easy [PERIOD]
Query: Alice is selfish [PERIOD]","Proof chain:
   easy ⇒ worrisome
   worrisome ⇒ aggressive
   hilarious ∧ aggressive ⇒ cooperative
   Cannot apply rule “dishonest ∧ tense ∧ cooperative ⇒ selfish” because missing: dishonest, tense.
   Cannot apply rule “anxious ⇒ selfish” because missing: anxious.
   Cannot apply rule “dishonest ∧ lucky ⇒ selfish” because missing: dishonest, lucky.
",0,6
"Facts: 
Rules:
spotless [IMPLY] disgusted [PERIOD]
calm [IMPLY] horrible [PERIOD]
frantic [AND] naughty [IMPLY] impatient [PERIOD]
gifted [IMPLY] plain [PERIOD]
outstanding [AND] bossy [IMPLY] jittery [PERIOD]
thoughtful [AND] disgusted [AND] rational [IMPLY] wrong [PERIOD]
impatient [AND] anxious [AND] jittery [IMPLY] frantic [PERIOD]
zealous [AND] anxious [IMPLY] fancy [PERIOD]
anxious [AND] weary [AND] naughty [IMPLY] muddy [PERIOD]
muddy [IMPLY] impatient [PERIOD]
naughty [AND] aggressive [IMPLY] calm [PERIOD]
rational [AND] elegant [IMPLY] plain [PERIOD]
calm [AND] zealous [IMPLY] naughty [PERIOD]
calm [AND] fancy [IMPLY] impatient [PERIOD]
jittery [IMPLY] helpless [PERIOD]
aggressive [IMPLY] elegant [PERIOD]
zealous [AND] calm [IMPLY] outstanding [PERIOD]
helpless [AND] impatient [IMPLY] horrible [PERIOD]
gifted [AND] bossy [IMPLY] zealous [PERIOD]
zealous [AND] spotless [AND] stormy [IMPLY] horrible [PERIOD]
anxious [AND] bossy [AND] wrong [IMPLY] outstanding [PERIOD]
anxious [AND] outstanding [IMPLY] spotless [PERIOD]
jittery [IMPLY] plain [PERIOD]
calm [IMPLY] impatient [PERIOD]
spotless [AND] plain [IMPLY] horrible [PERIOD]
helpless [AND] disgusted [IMPLY] wrong [PERIOD]
naughty [AND] uptight [AND] helpless [IMPLY] disgusted [PERIOD]
naughty [AND] disgusted [AND] weary [IMPLY] stormy [PERIOD]
anxious [AND] impatient [IMPLY] wrong [PERIOD]
anxious [AND] helpless [IMPLY] plain [PERIOD]
wandering [AND] jittery [AND] gifted [IMPLY] muddy [PERIOD]
rational [AND] zealous [AND] weary [IMPLY] gifted [PERIOD]
gifted [IMPLY] thoughtful [PERIOD]
naughty [AND] horrible [AND] disgusted [IMPLY] helpless [PERIOD]
horrible [AND] wandering [IMPLY] disgusted [PERIOD]
zealous [IMPLY] anxious [PERIOD]
frantic [AND] rational [IMPLY] plain [PERIOD]
messy [IMPLY] bossy [PERIOD]
thoughtful [AND] frantic [AND] horrible [IMPLY] stormy [PERIOD]
horrible [IMPLY] fancy [PERIOD]
thoughtful [AND] naughty [IMPLY] muddy [PERIOD]
elegant [IMPLY] disgusted [PERIOD]
rational [AND] bossy [AND] weary [IMPLY] horrible [PERIOD]
calm [AND] anxious [IMPLY] rational [PERIOD]
stormy [IMPLY] zealous [PERIOD]
weary [AND] aggressive [AND] thoughtful [IMPLY] gifted [PERIOD]
helpless [AND] spotless [IMPLY] calm [PERIOD]
elegant [IMPLY] wrong [PERIOD]
elegant [IMPLY] anxious [PERIOD]
bossy [IMPLY] outstanding [PERIOD]
zealous [AND] anxious [AND] bossy [IMPLY] spotless [PERIOD]
anxious [AND] horrible [AND] stormy [IMPLY] impatient [PERIOD]
weary [IMPLY] gifted [PERIOD]
naughty [IMPLY] wrong [PERIOD]
horrible [IMPLY] frantic [PERIOD]
plain [AND] messy [IMPLY] aggressive [PERIOD]
wandering [IMPLY] bossy [PERIOD]
impatient [AND] aggressive [IMPLY] zealous [PERIOD]
aggressive [AND] wrong [AND] calm [IMPLY] disgusted [PERIOD]
gifted [AND] zealous [AND] muddy [IMPLY] thoughtful [PERIOD]
fancy [AND] wandering [AND] outstanding [IMPLY] elegant [PERIOD]
wandering [IMPLY] zealous [PERIOD]
plain [AND] impatient [IMPLY] calm [PERIOD]
naughty [AND] outstanding [IMPLY] impatient [PERIOD]
disgusted [AND] calm [AND] rational [IMPLY] frantic [PERIOD]
anxious [AND] muddy [AND] horrible [IMPLY] uptight [PERIOD]
plain [IMPLY] naughty [PERIOD]
stormy [AND] helpless [AND] gifted [IMPLY] thoughtful [PERIOD]
wandering [AND] jittery [AND] calm [IMPLY] horrible [PERIOD]
disgusted [AND] frantic [AND] anxious [IMPLY] spotless [PERIOD]
naughty [AND] frantic [AND] wrong [IMPLY] elegant [PERIOD]
fancy [AND] wandering [AND] frantic [IMPLY] calm [PERIOD]
weary [IMPLY] wrong [PERIOD]
bossy [AND] aggressive [IMPLY] horrible [PERIOD]
wrong [AND] spotless [AND] uptight [IMPLY] elegant [PERIOD]
helpless [AND] jittery [IMPLY] elegant [PERIOD]
jittery [AND] horrible [IMPLY] weary [PERIOD]
wandering [AND] anxious [AND] bossy [IMPLY] elegant [PERIOD]
bossy [IMPLY] horrible [PERIOD]
spotless [AND] outstanding [AND] stormy [IMPLY] weary [PERIOD]
plain [AND] bossy [IMPLY] helpless [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “impatient ∧ anxious ∧ jittery ⇒ frantic” because missing: impatient, anxious, jittery.
   Cannot apply rule “horrible ⇒ frantic” because missing: horrible.
   Cannot apply rule “disgusted ∧ calm ∧ rational ⇒ frantic” because missing: disgusted, calm, rational.
",0,3
"Facts:  Alice is wandering [PERIOD]
Rules:
thoughtful [AND] innocent [IMPLY] thoughtless [PERIOD]
wandering [IMPLY] confident [PERIOD]
thoughtless [AND] fearless [AND] innocent [IMPLY] confident [PERIOD]
thoughtless [AND] innocent [IMPLY] fearless [PERIOD]
innocent [AND] vivacious [AND] modern [IMPLY] stubborn [PERIOD]
thoughtless [IMPLY] inquisitive [PERIOD]
stubborn [AND] jittery [AND] calm [IMPLY] wandering [PERIOD]
jittery [IMPLY] vivacious [PERIOD]
modern [AND] inquisitive [IMPLY] jittery [PERIOD]
inquisitive [AND] stubborn [IMPLY] gorgeous [PERIOD]
confident [AND] thoughtless [IMPLY] modern [PERIOD]
innocent [AND] calm [AND] vivacious [IMPLY] gorgeous [PERIOD]
tired [AND] jittery [AND] calm [IMPLY] vivacious [PERIOD]
thoughtless [IMPLY] confident [PERIOD]
jittery [AND] tired [AND] thoughtless [IMPLY] fearless [PERIOD]
thoughtful [AND] gorgeous [IMPLY] vivacious [PERIOD]
calm [AND] thoughtless [AND] inquisitive [IMPLY] innocent [PERIOD]
thoughtless [IMPLY] wandering [PERIOD]
modern [AND] stubborn [IMPLY] fearless [PERIOD]
calm [AND] thoughtless [AND] jittery [IMPLY] tired [PERIOD]
fearless [AND] vivacious [IMPLY] wandering [PERIOD]
innocent [AND] calm [AND] confident [IMPLY] fearless [PERIOD]
stubborn [AND] thoughtful [AND] thoughtless [IMPLY] jittery [PERIOD]
inquisitive [AND] stubborn [IMPLY] tired [PERIOD]
calm [AND] jittery [AND] confident [IMPLY] tired [PERIOD]
confident [AND] tired [IMPLY] modern [PERIOD]
tired [IMPLY] confident [PERIOD]
tired [AND] thoughtless [AND] fearless [IMPLY] confident [PERIOD]
inquisitive [AND] vivacious [AND] fearless [IMPLY] calm [PERIOD]
jittery [AND] gorgeous [AND] calm [IMPLY] thoughtful [PERIOD]
gorgeous [AND] stubborn [IMPLY] fearless [PERIOD]
stubborn [AND] gorgeous [IMPLY] thoughtless [PERIOD]
calm [IMPLY] tired [PERIOD]
thoughtful [AND] fearless [IMPLY] modern [PERIOD]
thoughtless [AND] vivacious [AND] confident [IMPLY] wandering [PERIOD]
stubborn [IMPLY] confident [PERIOD]
modern [AND] vivacious [AND] fearless [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] confident [PERIOD]
vivacious [AND] modern [IMPLY] thoughtful [PERIOD]
tired [IMPLY] vivacious [PERIOD]
fearless [AND] calm [AND] wandering [IMPLY] modern [PERIOD]
tired [IMPLY] stubborn [PERIOD]
inquisitive [AND] wandering [IMPLY] thoughtful [PERIOD]
fearless [AND] modern [IMPLY] confident [PERIOD]
fearless [IMPLY] thoughtful [PERIOD]
modern [IMPLY] wandering [PERIOD]
thoughtful [IMPLY] inquisitive [PERIOD]
tired [AND] inquisitive [AND] thoughtful [IMPLY] thoughtless [PERIOD]
tired [AND] thoughtless [IMPLY] wandering [PERIOD]
modern [IMPLY] jittery [PERIOD]
tired [AND] thoughtless [IMPLY] inquisitive [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   Cannot apply rule “jittery ∧ gorgeous ∧ calm ⇒ thoughtful” because missing: jittery, gorgeous, calm.
   Cannot apply rule “vivacious ∧ modern ⇒ thoughtful” because missing: vivacious, modern.
   Cannot apply rule “inquisitive ∧ wandering ⇒ thoughtful” because missing: inquisitive.
   Cannot apply rule “fearless ⇒ thoughtful” because missing: fearless.
",0,4
"Facts: 
Rules:
blushing [IMPLY] lucky [PERIOD]
powerful [IMPLY] lucky [PERIOD]
lucky [IMPLY] blushing [PERIOD]
powerful [AND] talented [IMPLY] lucky [PERIOD]
blushing [AND] tidy [IMPLY] powerful [PERIOD]
tidy [IMPLY] blushing [PERIOD]
tidy [AND] talented [IMPLY] powerful [PERIOD]
lucky [AND] powerful [IMPLY] tidy [PERIOD]
blushing [AND] talented [AND] tidy [IMPLY] powerful [PERIOD]
talented [AND] blushing [AND] powerful [IMPLY] lucky [PERIOD]
lucky [IMPLY] powerful [PERIOD]
powerful [IMPLY] talented [PERIOD]
talented [IMPLY] tidy [PERIOD]
powerful [AND] talented [IMPLY] tidy [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   Cannot apply rule “blushing ⇒ lucky” because missing: blushing.
   Cannot apply rule “powerful ⇒ lucky” because missing: powerful.
   Cannot apply rule “powerful ∧ talented ⇒ lucky” because missing: powerful, talented.
   Cannot apply rule “talented ∧ blushing ∧ powerful ⇒ lucky” because missing: talented, blushing, powerful.
",0,4
"Facts: 
Rules:
gleaming [IMPLY] average [PERIOD]
lonely [AND] helpless [AND] victorious [IMPLY] sensible [PERIOD]
average [AND] tired [IMPLY] homely [PERIOD]
attractive [AND] glamorous [IMPLY] tender [PERIOD]
elegant [AND] helpless [IMPLY] glamorous [PERIOD]
tense [AND] helpless [IMPLY] sensible [PERIOD]
average [AND] gleaming [AND] glamorous [IMPLY] combative [PERIOD]
combative [AND] exuberant [AND] average [IMPLY] clean [PERIOD]
inquisitive [AND] average [AND] gleaming [IMPLY] clean [PERIOD]
homely [AND] victorious [IMPLY] elegant [PERIOD]
tired [AND] victorious [AND] tense [IMPLY] glamorous [PERIOD]
tender [AND] gleaming [AND] attractive [IMPLY] combative [PERIOD]
lonely [AND] sensible [AND] gleaming [IMPLY] tired [PERIOD]
attractive [AND] tender [AND] clean [IMPLY] exuberant [PERIOD]
clean [AND] elegant [AND] victorious [IMPLY] glamorous [PERIOD]
elegant [AND] lonely [IMPLY] homely [PERIOD]
victorious [AND] attractive [AND] combative [IMPLY] exuberant [PERIOD]
exuberant [AND] inquisitive [AND] combative [IMPLY] helpless [PERIOD]
clean [AND] exuberant [IMPLY] tense [PERIOD]
tense [IMPLY] victorious [PERIOD]
glamorous [IMPLY] inquisitive [PERIOD]
lonely [IMPLY] glamorous [PERIOD]
glamorous [AND] average [IMPLY] homely [PERIOD]
tense [AND] inquisitive [IMPLY] attractive [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   Cannot apply rule “combative ∧ exuberant ∧ average ⇒ clean” because missing: combative, exuberant, average.
   Cannot apply rule “inquisitive ∧ average ∧ gleaming ⇒ clean” because missing: inquisitive, average, gleaming.
",0,2
"Facts:  Alice is impartial [PERIOD] Alice is aggressive [PERIOD] Alice is grumpy [PERIOD]
Rules:
joyous [IMPLY] elegant [PERIOD]
precious [AND] helpless [IMPLY] popular [PERIOD]
sincere [IMPLY] curious [PERIOD]
calm [IMPLY] popular [PERIOD]
calm [IMPLY] strange [PERIOD]
joyous [IMPLY] selfish [PERIOD]
average [AND] frail [AND] stormy [IMPLY] courageous [PERIOD]
clumsy [IMPLY] aggressive [PERIOD]
calm [IMPLY] curious [PERIOD]
courageous [AND] grumpy [AND] popular [IMPLY] muddy [PERIOD]
aggressive [AND] joyous [AND] attentive [IMPLY] selfish [PERIOD]
muddy [AND] curious [AND] condemned [IMPLY] aggressive [PERIOD]
clumsy [AND] curious [IMPLY] hypocritical [PERIOD]
precious [AND] tidy [AND] attentive [IMPLY] calm [PERIOD]
condemned [AND] elegant [IMPLY] hypocritical [PERIOD]
frail [IMPLY] hypocritical [PERIOD]
elegant [AND] condemned [IMPLY] ugly [PERIOD]
curious [AND] frail [AND] courageous [IMPLY] elegant [PERIOD]
hypocritical [IMPLY] calm [PERIOD]
popular [AND] attentive [IMPLY] sincere [PERIOD]
calm [IMPLY] scared [PERIOD]
sincere [AND] calm [AND] precious [IMPLY] grumpy [PERIOD]
condemned [IMPLY] clumsy [PERIOD]
ugly [IMPLY] outstanding [PERIOD]
elegant [AND] average [IMPLY] attentive [PERIOD]
condemned [AND] courageous [IMPLY] popular [PERIOD]
condemned [AND] calm [IMPLY] stormy [PERIOD]
uptight [AND] clumsy [AND] average [IMPLY] popular [PERIOD]
courageous [AND] precious [IMPLY] muddy [PERIOD]
attentive [AND] curious [IMPLY] calm [PERIOD]
curious [AND] tidy [AND] hypocritical [IMPLY] helpless [PERIOD]
selfish [AND] aggressive [AND] ugly [IMPLY] scared [PERIOD]
popular [AND] clumsy [IMPLY] tidy [PERIOD]
impartial [AND] selfish [IMPLY] anxious [PERIOD]
muddy [AND] ugly [AND] clumsy [IMPLY] grumpy [PERIOD]
calm [AND] anxious [AND] frail [IMPLY] hypocritical [PERIOD]
calm [IMPLY] outstanding [PERIOD]
precious [AND] average [IMPLY] curious [PERIOD]
hypocritical [AND] elegant [IMPLY] curious [PERIOD]
stormy [IMPLY] average [PERIOD]
elegant [AND] condemned [IMPLY] strange [PERIOD]
anxious [AND] ugly [IMPLY] precious [PERIOD]
condemned [AND] strange [AND] tidy [IMPLY] frail [PERIOD]
popular [AND] attentive [AND] strange [IMPLY] selfish [PERIOD]
attentive [IMPLY] impartial [PERIOD]
hypocritical [AND] muddy [IMPLY] selfish [PERIOD]
anxious [IMPLY] hypocritical [PERIOD]
courageous [AND] tidy [AND] elegant [IMPLY] calm [PERIOD]
grumpy [IMPLY] selfish [PERIOD]
calm [AND] sincere [IMPLY] outstanding [PERIOD]
attentive [AND] helpless [IMPLY] anxious [PERIOD]
average [IMPLY] outstanding [PERIOD]
popular [AND] joyous [AND] anxious [IMPLY] tidy [PERIOD]
helpless [AND] selfish [AND] grumpy [IMPLY] calm [PERIOD]
strange [AND] elegant [IMPLY] courageous [PERIOD]
muddy [AND] aggressive [AND] attentive [IMPLY] precious [PERIOD]
attentive [IMPLY] popular [PERIOD]
scared [IMPLY] strange [PERIOD]
sincere [AND] muddy [IMPLY] joyous [PERIOD]
selfish [AND] popular [AND] aggressive [IMPLY] condemned [PERIOD]
anxious [IMPLY] frail [PERIOD]
grumpy [AND] outstanding [IMPLY] attentive [PERIOD]
grumpy [AND] average [IMPLY] courageous [PERIOD]
clumsy [IMPLY] anxious [PERIOD]
frail [AND] courageous [AND] impartial [IMPLY] popular [PERIOD]
elegant [AND] hypocritical [IMPLY] attentive [PERIOD]
precious [AND] stormy [IMPLY] uptight [PERIOD]
precious [AND] attentive [IMPLY] average [PERIOD]
elegant [AND] tidy [AND] helpless [IMPLY] average [PERIOD]
grumpy [AND] anxious [AND] selfish [IMPLY] precious [PERIOD]
curious [IMPLY] attentive [PERIOD]
average [AND] tidy [IMPLY] stormy [PERIOD]
frail [IMPLY] sincere [PERIOD]
frail [AND] impartial [IMPLY] scared [PERIOD]
stormy [AND] strange [IMPLY] frail [PERIOD]
grumpy [AND] scared [AND] strange [IMPLY] calm [PERIOD]
condemned [IMPLY] sincere [PERIOD]
ugly [IMPLY] average [PERIOD]
precious [AND] anxious [IMPLY] stormy [PERIOD]
scared [AND] stormy [IMPLY] tidy [PERIOD]
scared [AND] helpless [IMPLY] frail [PERIOD]
condemned [AND] courageous [AND] sincere [IMPLY] anxious [PERIOD]
uptight [AND] courageous [IMPLY] elegant [PERIOD]
sincere [AND] average [IMPLY] muddy [PERIOD]
popular [IMPLY] clumsy [PERIOD]
strange [IMPLY] elegant [PERIOD]
stormy [IMPLY] curious [PERIOD]
stormy [AND] attentive [IMPLY] calm [PERIOD]
muddy [AND] scared [AND] attentive [IMPLY] grumpy [PERIOD]
sincere [IMPLY] grumpy [PERIOD]
joyous [AND] precious [IMPLY] curious [PERIOD]
uptight [AND] average [AND] condemned [IMPLY] aggressive [PERIOD]
average [AND] clumsy [AND] impartial [IMPLY] sincere [PERIOD]
stormy [AND] helpless [IMPLY] outstanding [PERIOD]
attentive [AND] frail [IMPLY] selfish [PERIOD]
curious [IMPLY] sincere [PERIOD]
anxious [AND] joyous [IMPLY] calm [PERIOD]
condemned [AND] scared [IMPLY] joyous [PERIOD]
condemned [AND] helpless [IMPLY] attentive [PERIOD]
outstanding [AND] aggressive [AND] stormy [IMPLY] clumsy [PERIOD]
scared [AND] elegant [IMPLY] tidy [PERIOD]
muddy [AND] hypocritical [AND] grumpy [IMPLY] frail [PERIOD]
impartial [AND] popular [IMPLY] elegant [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
   grumpy ⇒ selfish
   grumpy ⇒ selfish
   impartial ∧ selfish ⇒ anxious
   anxious ⇒ hypocritical
   hypocritical ⇒ calm
   calm ⇒ popular
   selfish ∧ popular ∧ aggressive ⇒ condemned
",1,7
"Facts: 
Rules:
homely [IMPLY] joyous [PERIOD]
beautiful [AND] impartial [IMPLY] joyous [PERIOD]
tired [AND] homely [IMPLY] beautiful [PERIOD]
beautiful [AND] tired [IMPLY] impartial [PERIOD]
powerful [AND] beautiful [AND] elegant [IMPLY] impartial [PERIOD]
ambitious [AND] stubborn [AND] homely [IMPLY] impartial [PERIOD]
beautiful [AND] joyous [AND] homely [IMPLY] elegant [PERIOD]
stubborn [AND] powerful [AND] tired [IMPLY] impartial [PERIOD]
tired [IMPLY] impartial [PERIOD]
powerful [AND] joyous [IMPLY] stubborn [PERIOD]
impartial [AND] ambitious [IMPLY] beautiful [PERIOD]
ambitious [AND] impartial [AND] tired [IMPLY] homely [PERIOD]
tired [AND] impartial [AND] joyous [IMPLY] ambitious [PERIOD]
homely [AND] ambitious [AND] joyous [IMPLY] stubborn [PERIOD]
powerful [IMPLY] beautiful [PERIOD]
tired [AND] stubborn [AND] joyous [IMPLY] elegant [PERIOD]
beautiful [AND] impartial [AND] powerful [IMPLY] elegant [PERIOD]
joyous [IMPLY] stubborn [PERIOD]
powerful [AND] impartial [AND] elegant [IMPLY] stubborn [PERIOD]
beautiful [AND] joyous [IMPLY] homely [PERIOD]
tired [AND] impartial [IMPLY] homely [PERIOD]
stubborn [IMPLY] tired [PERIOD]
joyous [AND] tired [IMPLY] powerful [PERIOD]
tired [AND] stubborn [AND] impartial [IMPLY] elegant [PERIOD]
ambitious [IMPLY] beautiful [PERIOD]
impartial [IMPLY] ambitious [PERIOD]
beautiful [IMPLY] tired [PERIOD]
powerful [AND] beautiful [IMPLY] elegant [PERIOD]
beautiful [IMPLY] stubborn [PERIOD]
joyous [AND] powerful [IMPLY] elegant [PERIOD]
powerful [IMPLY] homely [PERIOD]
impartial [AND] elegant [AND] stubborn [IMPLY] ambitious [PERIOD]
powerful [AND] ambitious [IMPLY] elegant [PERIOD]
joyous [AND] impartial [AND] ambitious [IMPLY] tired [PERIOD]
impartial [AND] stubborn [AND] joyous [IMPLY] ambitious [PERIOD]
beautiful [IMPLY] powerful [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   Cannot apply rule “tired ∧ homely ⇒ beautiful” because missing: tired, homely.
   Cannot apply rule “impartial ∧ ambitious ⇒ beautiful” because missing: impartial, ambitious.
   Cannot apply rule “powerful ⇒ beautiful” because missing: powerful.
   Cannot apply rule “ambitious ⇒ beautiful” because missing: ambitious.
",0,4
"Facts:  Alice is tense [PERIOD] Alice is disobedient [PERIOD] Alice is quaint [PERIOD] Alice is loving [PERIOD]
Rules:
thoughtful [AND] plain [IMPLY] good [PERIOD]
clean [AND] sensible [IMPLY] disobedient [PERIOD]
selfish [AND] quaint [IMPLY] outstanding [PERIOD]
sensible [AND] tense [IMPLY] good [PERIOD]
sensible [AND] confused [IMPLY] clean [PERIOD]
thoughtful [AND] inquisitive [AND] quaint [IMPLY] sensible [PERIOD]
selfish [AND] loving [IMPLY] inquisitive [PERIOD]
clean [IMPLY] disobedient [PERIOD]
loving [IMPLY] disobedient [PERIOD]
clean [AND] disobedient [AND] selfish [IMPLY] loving [PERIOD]
loving [IMPLY] thoughtful [PERIOD]
inquisitive [AND] tense [AND] selfish [IMPLY] confused [PERIOD]
sensible [AND] good [AND] outstanding [IMPLY] quaint [PERIOD]
inquisitive [AND] disobedient [AND] thoughtful [IMPLY] tense [PERIOD]
quaint [AND] confused [IMPLY] clean [PERIOD]
disobedient [AND] quaint [IMPLY] thoughtful [PERIOD]
selfish [AND] outstanding [AND] quaint [IMPLY] confused [PERIOD]
lucky [AND] clean [IMPLY] plain [PERIOD]
sensible [AND] good [AND] confused [IMPLY] inquisitive [PERIOD]
sensible [AND] lucky [AND] inquisitive [IMPLY] thoughtful [PERIOD]
good [AND] confused [AND] selfish [IMPLY] thoughtful [PERIOD]
inquisitive [AND] quaint [AND] lucky [IMPLY] confused [PERIOD]
lucky [AND] plain [IMPLY] outstanding [PERIOD]
clean [AND] sensible [AND] good [IMPLY] plain [PERIOD]
lucky [IMPLY] selfish [PERIOD]
plain [IMPLY] outstanding [PERIOD]
good [IMPLY] plain [PERIOD]
disobedient [AND] loving [IMPLY] lucky [PERIOD]
good [AND] lucky [IMPLY] disobedient [PERIOD]
confused [IMPLY] selfish [PERIOD]
clean [IMPLY] thoughtful [PERIOD]
good [AND] lucky [AND] clean [IMPLY] sensible [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   disobedient ∧ loving ⇒ lucky
   lucky ⇒ selfish
   selfish ∧ loving ⇒ inquisitive
   disobedient ∧ loving ⇒ lucky
   lucky ⇒ selfish
   inquisitive ∧ tense ∧ selfish ⇒ confused
   quaint ∧ confused ⇒ clean
",1,7
"Facts:  Alice is disobedient [PERIOD]
Rules:
wide-eyed [AND] disgusted [IMPLY] rational [PERIOD]
rational [AND] frail [IMPLY] disobedient [PERIOD]
sincere [AND] wide-eyed [IMPLY] disgusted [PERIOD]
sincere [AND] frail [IMPLY] distinct [PERIOD]
wide-eyed [AND] frail [AND] distinct [IMPLY] sincere [PERIOD]
wide-eyed [IMPLY] disobedient [PERIOD]
rational [AND] disgusted [AND] sincere [IMPLY] cooperative [PERIOD]
rational [IMPLY] muddy [PERIOD]
muddy [IMPLY] disobedient [PERIOD]
wide-eyed [AND] disobedient [IMPLY] frail [PERIOD]
wide-eyed [AND] rational [AND] disgusted [IMPLY] cooperative [PERIOD]
distinct [AND] cooperative [IMPLY] muddy [PERIOD]
rational [AND] distinct [IMPLY] frail [PERIOD]
sincere [IMPLY] distinct [PERIOD]
frail [AND] rational [IMPLY] muddy [PERIOD]
disobedient [IMPLY] muddy [PERIOD]
sincere [AND] rational [AND] disgusted [IMPLY] disobedient [PERIOD]
muddy [AND] disobedient [AND] cooperative [IMPLY] distinct [PERIOD]
sincere [IMPLY] wide-eyed [PERIOD]
distinct [AND] sincere [AND] muddy [IMPLY] wide-eyed [PERIOD]
disgusted [AND] wide-eyed [AND] disobedient [IMPLY] rational [PERIOD]
wide-eyed [AND] frail [AND] disobedient [IMPLY] cooperative [PERIOD]
distinct [AND] cooperative [AND] sincere [IMPLY] rational [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   Cannot apply rule “sincere ⇒ wide-eyed” because missing: sincere.
   disobedient ⇒ muddy
   Cannot apply rule “distinct ∧ sincere ∧ muddy ⇒ wide-eyed” because missing: distinct, sincere.
",0,3
"Facts: 
Rules:
agreeable [AND] supportive [AND] adorable [IMPLY] hypocritical [PERIOD]
bad-tempered [AND] dull [IMPLY] unpleasant [PERIOD]
scared [AND] supportive [IMPLY] attractive [PERIOD]
diplomatic [IMPLY] dull [PERIOD]
supportive [AND] bored [IMPLY] sensible [PERIOD]
dull [AND] bored [AND] sensible [IMPLY] diplomatic [PERIOD]
bored [IMPLY] tame [PERIOD]
dull [IMPLY] diplomatic [PERIOD]
agreeable [AND] adorable [IMPLY] dull [PERIOD]
polite [IMPLY] diplomatic [PERIOD]
diplomatic [AND] bored [AND] scared [IMPLY] sensible [PERIOD]
witty [AND] unpleasant [AND] adorable [IMPLY] horrible [PERIOD]
polite [AND] diplomatic [IMPLY] horrible [PERIOD]
horrible [AND] bored [AND] scared [IMPLY] unpleasant [PERIOD]
bored [AND] scared [IMPLY] tame [PERIOD]
tame [AND] witty [AND] agreeable [IMPLY] bad-tempered [PERIOD]
bored [AND] polite [IMPLY] attractive [PERIOD]
agreeable [AND] unpleasant [IMPLY] polite [PERIOD]
polite [IMPLY] bad-tempered [PERIOD]
diplomatic [IMPLY] sensible [PERIOD]
sensible [IMPLY] witty [PERIOD]
adorable [AND] agreeable [IMPLY] bad-tempered [PERIOD]
dull [AND] horrible [AND] hypocritical [IMPLY] bored [PERIOD]
diplomatic [IMPLY] polite [PERIOD]
witty [IMPLY] polite [PERIOD]
unpleasant [AND] supportive [AND] polite [IMPLY] witty [PERIOD]
witty [AND] polite [AND] tame [IMPLY] dull [PERIOD]
hypocritical [IMPLY] scared [PERIOD]
witty [AND] supportive [AND] sensible [IMPLY] unpleasant [PERIOD]
hypocritical [AND] witty [AND] bad-tempered [IMPLY] unpleasant [PERIOD]
polite [AND] attractive [AND] dull [IMPLY] unpleasant [PERIOD]
polite [AND] attractive [AND] supportive [IMPLY] scared [PERIOD]
sensible [AND] horrible [AND] witty [IMPLY] adorable [PERIOD]
bored [AND] supportive [IMPLY] adorable [PERIOD]
unpleasant [AND] dull [IMPLY] supportive [PERIOD]
tame [AND] scared [IMPLY] supportive [PERIOD]
diplomatic [AND] unpleasant [AND] adorable [IMPLY] agreeable [PERIOD]
witty [AND] polite [IMPLY] bored [PERIOD]
unpleasant [AND] bad-tempered [AND] adorable [IMPLY] tame [PERIOD]
dull [AND] diplomatic [AND] tame [IMPLY] witty [PERIOD]
sensible [AND] attractive [IMPLY] bad-tempered [PERIOD]
horrible [IMPLY] diplomatic [PERIOD]
bad-tempered [AND] supportive [AND] adorable [IMPLY] diplomatic [PERIOD]
unpleasant [AND] diplomatic [IMPLY] scared [PERIOD]
diplomatic [IMPLY] supportive [PERIOD]
polite [AND] diplomatic [IMPLY] unpleasant [PERIOD]
dull [AND] diplomatic [IMPLY] tame [PERIOD]
dull [AND] witty [AND] hypocritical [IMPLY] bored [PERIOD]
bored [IMPLY] horrible [PERIOD]
diplomatic [AND] attractive [IMPLY] polite [PERIOD]
sensible [AND] tame [IMPLY] supportive [PERIOD]
agreeable [AND] adorable [IMPLY] unpleasant [PERIOD]
supportive [AND] tame [IMPLY] agreeable [PERIOD]
witty [AND] bored [AND] hypocritical [IMPLY] scared [PERIOD]
polite [AND] tame [AND] attractive [IMPLY] sensible [PERIOD]
unpleasant [AND] bored [AND] tame [IMPLY] diplomatic [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   Cannot apply rule “bad-tempered ∧ dull ⇒ unpleasant” because missing: bad-tempered, dull.
   Cannot apply rule “horrible ∧ bored ∧ scared ⇒ unpleasant” because missing: horrible, bored, scared.
   Cannot apply rule “witty ∧ supportive ∧ sensible ⇒ unpleasant” because missing: witty, supportive, sensible.
   Cannot apply rule “hypocritical ∧ witty ∧ bad-tempered ⇒ unpleasant” because missing: hypocritical, witty, bad-tempered.
   Cannot apply rule “polite ∧ attractive ∧ dull ⇒ unpleasant” because missing: polite, attractive, dull.
   Cannot apply rule “polite ∧ diplomatic ⇒ unpleasant” because missing: polite, diplomatic.
   Cannot apply rule “agreeable ∧ adorable ⇒ unpleasant” because missing: agreeable, adorable.
",0,7
"Facts:  Alice is adorable [PERIOD] Alice is strange [PERIOD] Alice is disgusted [PERIOD] Alice is helpless [PERIOD] Alice is frantic [PERIOD] Alice is vivacious [PERIOD]
Rules:
talkative [AND] strange [AND] disgusted [IMPLY] adorable [PERIOD]
selfish [AND] vivacious [IMPLY] helpless [PERIOD]
scared [IMPLY] frantic [PERIOD]
amused [AND] frantic [AND] lucky [IMPLY] wandering [PERIOD]
amused [AND] disgusted [IMPLY] busy [PERIOD]
helpful [AND] lucky [IMPLY] scared [PERIOD]
talkative [AND] shy [IMPLY] amused [PERIOD]
talkative [AND] shy [AND] vivacious [IMPLY] lucky [PERIOD]
wandering [IMPLY] vivacious [PERIOD]
frantic [IMPLY] talkative [PERIOD]
disgusted [IMPLY] shy [PERIOD]
helpful [IMPLY] strange [PERIOD]
adorable [IMPLY] scared [PERIOD]
strange [AND] horrible [AND] disgusted [IMPLY] vivacious [PERIOD]
disgusted [AND] lucky [AND] scared [IMPLY] vivacious [PERIOD]
helpless [AND] scared [AND] talkative [IMPLY] helpful [PERIOD]
disgusted [AND] shy [IMPLY] strange [PERIOD]
shy [IMPLY] hypocritical [PERIOD]
selfish [IMPLY] horrible [PERIOD]
amused [AND] helpful [IMPLY] disgusted [PERIOD]
disgusted [AND] lucky [AND] helpful [IMPLY] foolish [PERIOD]
busy [AND] selfish [AND] talkative [IMPLY] hypocritical [PERIOD]
helpless [AND] amused [AND] horrible [IMPLY] talkative [PERIOD]
amused [AND] lucky [IMPLY] elegant [PERIOD]
disgusted [IMPLY] vivacious [PERIOD]
selfish [AND] busy [IMPLY] elegant [PERIOD]
busy [IMPLY] elegant [PERIOD]
busy [IMPLY] strange [PERIOD]
aggressive [AND] horrible [AND] helpless [IMPLY] amused [PERIOD]
frantic [IMPLY] amused [PERIOD]
elegant [AND] frantic [AND] disgusted [IMPLY] strange [PERIOD]
elegant [IMPLY] horrible [PERIOD]
lucky [AND] amused [IMPLY] strange [PERIOD]
elegant [AND] attentive [AND] shy [IMPLY] aggressive [PERIOD]
helpful [AND] adorable [AND] wandering [IMPLY] amused [PERIOD]
disgusted [AND] helpless [AND] horrible [IMPLY] vivacious [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   frantic ⇒ talkative
   disgusted ⇒ shy
   talkative ∧ shy ∧ vivacious ⇒ lucky
   adorable ⇒ scared
   frantic ⇒ talkative
   helpless ∧ scared ∧ talkative ⇒ helpful
   disgusted ∧ lucky ∧ helpful ⇒ foolish
",1,7
"Facts:  Alice is long [PERIOD] Alice is wide-eyed [PERIOD]
Rules:
wide-eyed [AND] inexpensive [AND] fine [IMPLY] ugly [PERIOD]
gleaming [AND] wide-eyed [IMPLY] victorious [PERIOD]
vivacious [AND] ugly [AND] popular [IMPLY] homely [PERIOD]
wide-eyed [AND] inexpensive [AND] fine [IMPLY] long [PERIOD]
vivacious [AND] victorious [IMPLY] gleaming [PERIOD]
long [AND] inexpensive [IMPLY] fine [PERIOD]
inexpensive [AND] wide-eyed [AND] popular [IMPLY] vivacious [PERIOD]
vivacious [AND] victorious [AND] long [IMPLY] fine [PERIOD]
fine [IMPLY] inexpensive [PERIOD]
inexpensive [IMPLY] vivacious [PERIOD]
wide-eyed [IMPLY] popular [PERIOD]
homely [AND] gleaming [IMPLY] popular [PERIOD]
victorious [AND] ugly [IMPLY] inexpensive [PERIOD]
homely [AND] inexpensive [AND] gleaming [IMPLY] long [PERIOD]
ugly [AND] long [AND] homely [IMPLY] victorious [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   wide-eyed ⇒ popular
   Cannot apply rule “vivacious ∧ ugly ∧ popular ⇒ homely” because missing: vivacious, ugly.
",0,2
"Facts:  Alice is fancy [PERIOD] Alice is condemned [PERIOD] Alice is careless [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
wandering [IMPLY] strange [PERIOD]
confused [AND] muddy [IMPLY] old-fashioned [PERIOD]
unpleasant [AND] enchanting [IMPLY] courageous [PERIOD]
wandering [IMPLY] fancy [PERIOD]
wandering [IMPLY] victorious [PERIOD]
gleaming [AND] victorious [AND] fearless [IMPLY] clean [PERIOD]
clean [AND] wandering [AND] elegant [IMPLY] gleaming [PERIOD]
elated [IMPLY] enchanting [PERIOD]
clean [AND] condemned [IMPLY] fearless [PERIOD]
bad-tempered [AND] wandering [IMPLY] thoughtless [PERIOD]
long [IMPLY] condemned [PERIOD]
old-fashioned [AND] careless [IMPLY] bad-tempered [PERIOD]
wandering [AND] elated [IMPLY] confused [PERIOD]
old-fashioned [IMPLY] clean [PERIOD]
sleepy [AND] muddy [IMPLY] impartial [PERIOD]
good [AND] joyous [AND] weary [IMPLY] strange [PERIOD]
courageous [IMPLY] joyous [PERIOD]
courageous [AND] muddy [IMPLY] fancy [PERIOD]
fancy [AND] impartial [AND] weary [IMPLY] good [PERIOD]
victorious [AND] good [IMPLY] gleaming [PERIOD]
elegant [AND] enchanting [IMPLY] impartial [PERIOD]
careless [AND] fearless [AND] victorious [IMPLY] joyous [PERIOD]
enchanting [AND] fearless [IMPLY] impartial [PERIOD]
elated [IMPLY] good [PERIOD]
agreeable [IMPLY] victorious [PERIOD]
sleepy [AND] muddy [AND] strange [IMPLY] wandering [PERIOD]
courageous [IMPLY] fancy [PERIOD]
condemned [AND] fancy [AND] wide-eyed [IMPLY] unpleasant [PERIOD]
clean [AND] fearless [IMPLY] elated [PERIOD]
old-fashioned [AND] muddy [AND] confused [IMPLY] fearless [PERIOD]
fancy [IMPLY] condemned [PERIOD]
long [AND] elated [IMPLY] fancy [PERIOD]
wandering [IMPLY] confused [PERIOD]
sleepy [AND] fearless [IMPLY] joyous [PERIOD]
victorious [AND] wide-eyed [AND] elated [IMPLY] impartial [PERIOD]
enchanting [AND] strange [AND] elegant [IMPLY] careless [PERIOD]
wide-eyed [IMPLY] enchanting [PERIOD]
weary [AND] victorious [IMPLY] muddy [PERIOD]
agreeable [AND] strange [AND] wandering [IMPLY] careless [PERIOD]
wide-eyed [AND] muddy [IMPLY] gleaming [PERIOD]
courageous [AND] good [IMPLY] strange [PERIOD]
condemned [AND] wide-eyed [IMPLY] unpleasant [PERIOD]
good [AND] agreeable [AND] excited [IMPLY] unpleasant [PERIOD]
muddy [AND] clean [IMPLY] careless [PERIOD]
victorious [AND] long [IMPLY] unpleasant [PERIOD]
wandering [AND] joyous [IMPLY] wide-eyed [PERIOD]
sleepy [IMPLY] strange [PERIOD]
courageous [AND] enchanting [AND] confused [IMPLY] weary [PERIOD]
long [AND] clean [IMPLY] enchanting [PERIOD]
bad-tempered [AND] good [AND] joyous [IMPLY] gleaming [PERIOD]
good [IMPLY] old-fashioned [PERIOD]
wide-eyed [IMPLY] careless [PERIOD]
clean [AND] old-fashioned [AND] fancy [IMPLY] wide-eyed [PERIOD]
agreeable [IMPLY] good [PERIOD]
long [AND] sleepy [IMPLY] victorious [PERIOD]
weary [AND] clean [IMPLY] excited [PERIOD]
clean [AND] long [AND] gleaming [IMPLY] fancy [PERIOD]
sleepy [AND] elegant [IMPLY] careless [PERIOD]
excited [AND] thoughtless [AND] wide-eyed [IMPLY] weary [PERIOD]
joyous [IMPLY] sleepy [PERIOD]
wide-eyed [AND] condemned [AND] clean [IMPLY] gleaming [PERIOD]
confused [AND] clean [AND] long [IMPLY] enchanting [PERIOD]
fancy [IMPLY] elegant [PERIOD]
muddy [AND] gleaming [AND] unpleasant [IMPLY] joyous [PERIOD]
fancy [AND] elated [AND] old-fashioned [IMPLY] wandering [PERIOD]
unpleasant [IMPLY] old-fashioned [PERIOD]
muddy [AND] long [IMPLY] good [PERIOD]
gleaming [AND] bad-tempered [AND] joyous [IMPLY] wandering [PERIOD]
long [AND] elegant [IMPLY] old-fashioned [PERIOD]
elated [AND] unpleasant [AND] impartial [IMPLY] excited [PERIOD]
agreeable [AND] good [AND] careless [IMPLY] elated [PERIOD]
agreeable [AND] muddy [AND] courageous [IMPLY] elegant [PERIOD]
victorious [AND] fancy [IMPLY] clean [PERIOD]
thoughtless [IMPLY] impartial [PERIOD]
good [IMPLY] fancy [PERIOD]
good [AND] muddy [AND] bad-tempered [IMPLY] clean [PERIOD]
condemned [IMPLY] muddy [PERIOD]
enchanting [AND] sleepy [IMPLY] excited [PERIOD]
elated [IMPLY] elegant [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   Cannot apply rule “wandering ∧ joyous ⇒ wide-eyed” because missing: wandering, joyous.
   Cannot apply rule “clean ∧ old-fashioned ∧ fancy ⇒ wide-eyed” because missing: clean, old-fashioned.
",0,2
"Facts:  Alice is hurt [PERIOD] Alice is shy [PERIOD] Alice is confident [PERIOD] Alice is condemned [PERIOD]
Rules:
shy [AND] loving [IMPLY] precious [PERIOD]
tired [AND] quaint [AND] ambitious [IMPLY] fearless [PERIOD]
pessimistic [AND] precious [AND] quaint [IMPLY] aggressive [PERIOD]
fearless [AND] hurt [IMPLY] alert [PERIOD]
homely [IMPLY] strange [PERIOD]
lucky [AND] tired [IMPLY] beautiful [PERIOD]
stubborn [AND] quaint [IMPLY] confident [PERIOD]
homely [IMPLY] quaint [PERIOD]
strange [AND] aggressive [AND] stubborn [IMPLY] courageous [PERIOD]
beautiful [AND] condemned [IMPLY] shy [PERIOD]
ugly [IMPLY] tired [PERIOD]
homely [IMPLY] fearless [PERIOD]
shy [IMPLY] mysterious [PERIOD]
different [IMPLY] mysterious [PERIOD]
condemned [IMPLY] courageous [PERIOD]
alert [IMPLY] lucky [PERIOD]
courageous [AND] shy [IMPLY] lucky [PERIOD]
exuberant [AND] lucky [IMPLY] confident [PERIOD]
different [AND] alert [IMPLY] beautiful [PERIOD]
lucky [AND] ambitious [AND] tired [IMPLY] exuberant [PERIOD]
quaint [AND] ambitious [AND] strange [IMPLY] condemned [PERIOD]
strange [AND] quaint [IMPLY] aggressive [PERIOD]
confident [AND] aggressive [IMPLY] quaint [PERIOD]
alert [AND] homely [IMPLY] ambitious [PERIOD]
shy [IMPLY] ugly [PERIOD]
loving [IMPLY] condemned [PERIOD]
strange [AND] fearless [AND] hurt [IMPLY] lucky [PERIOD]
beautiful [IMPLY] precious [PERIOD]
alert [AND] tired [AND] shy [IMPLY] courageous [PERIOD]
mysterious [IMPLY] confident [PERIOD]
stubborn [AND] courageous [AND] pessimistic [IMPLY] loving [PERIOD]
strange [IMPLY] hurt [PERIOD]
homely [IMPLY] stubborn [PERIOD]
average [AND] exuberant [IMPLY] confident [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is foolish [PERIOD]
Rules:
fancy [AND] fine [AND] joyous [IMPLY] selfish [PERIOD]
ugly [AND] good [IMPLY] fine [PERIOD]
fine [AND] polite [IMPLY] selfish [PERIOD]
good [AND] foolish [IMPLY] blushing [PERIOD]
foolish [IMPLY] blushing [PERIOD]
polite [AND] bored [IMPLY] joyous [PERIOD]
fine [AND] ugly [IMPLY] fancy [PERIOD]
tidy [AND] foolish [IMPLY] ugly [PERIOD]
fine [AND] blushing [IMPLY] ugly [PERIOD]
elegant [IMPLY] precious [PERIOD]
good [AND] ugly [AND] polite [IMPLY] precious [PERIOD]
blushing [AND] fine [AND] foolish [IMPLY] joyous [PERIOD]
ugly [IMPLY] selfish [PERIOD]
tidy [IMPLY] fancy [PERIOD]
tidy [AND] joyous [IMPLY] elegant [PERIOD]
bored [IMPLY] fancy [PERIOD]
fine [AND] fancy [AND] blushing [IMPLY] good [PERIOD]
foolish [IMPLY] bored [PERIOD]
bored [IMPLY] ugly [PERIOD]
precious [AND] blushing [AND] good [IMPLY] ugly [PERIOD]
joyous [AND] good [AND] precious [IMPLY] elegant [PERIOD]
bored [AND] precious [AND] elegant [IMPLY] good [PERIOD]
fine [IMPLY] ugly [PERIOD]
fine [IMPLY] fancy [PERIOD]
bored [AND] blushing [AND] fine [IMPLY] precious [PERIOD]
ugly [IMPLY] fine [PERIOD]
joyous [AND] tidy [IMPLY] good [PERIOD]
elegant [AND] polite [IMPLY] precious [PERIOD]
joyous [AND] foolish [IMPLY] tidy [PERIOD]
good [IMPLY] selfish [PERIOD]
fancy [IMPLY] good [PERIOD]
joyous [IMPLY] fine [PERIOD]
fine [AND] bored [AND] tidy [IMPLY] good [PERIOD]
fine [AND] blushing [IMPLY] tidy [PERIOD]
joyous [IMPLY] polite [PERIOD]
good [AND] tidy [AND] fine [IMPLY] polite [PERIOD]
joyous [IMPLY] good [PERIOD]
precious [AND] bored [AND] elegant [IMPLY] fine [PERIOD]
polite [AND] selfish [AND] fine [IMPLY] bored [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   foolish ⇒ blushing
   foolish ⇒ bored
   bored ⇒ ugly
   ugly ⇒ fine
   blushing ∧ fine ∧ foolish ⇒ joyous
   joyous ⇒ polite
",1,6
"Facts: 
Rules:
diplomatic [IMPLY] thoughtless [PERIOD]
courageous [AND] impartial [IMPLY] ugliest [PERIOD]
light [IMPLY] frail [PERIOD]
fearless [IMPLY] frail [PERIOD]
bad-tempered [AND] cooperative [IMPLY] silly [PERIOD]
diplomatic [IMPLY] frail [PERIOD]
condemned [AND] fine [AND] agreeable [IMPLY] disobedient [PERIOD]
fine [AND] ugly [AND] ugliest [IMPLY] disobedient [PERIOD]
ugly [AND] glamorous [IMPLY] frail [PERIOD]
cooperative [IMPLY] helpless [PERIOD]
ugly [AND] impartial [IMPLY] agreeable [PERIOD]
tame [IMPLY] exuberant [PERIOD]
agreeable [IMPLY] disobedient [PERIOD]
friendly [IMPLY] precious [PERIOD]
wrong [IMPLY] ugly [PERIOD]
condemned [IMPLY] fine [PERIOD]
light [AND] precious [IMPLY] tame [PERIOD]
tame [AND] frail [AND] light [IMPLY] silly [PERIOD]
ugly [AND] diplomatic [AND] fearless [IMPLY] courageous [PERIOD]
thoughtless [AND] precious [AND] silly [IMPLY] impartial [PERIOD]
precious [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] difficult [PERIOD]
fine [IMPLY] tame [PERIOD]
bad-tempered [AND] tame [AND] cooperative [IMPLY] ugly [PERIOD]
disobedient [IMPLY] frail [PERIOD]
condemned [IMPLY] tame [PERIOD]
ugliest [AND] difficult [AND] bad-tempered [IMPLY] frail [PERIOD]
fine [IMPLY] cooperative [PERIOD]
difficult [AND] agreeable [AND] helpless [IMPLY] cooperative [PERIOD]
friendly [AND] silly [IMPLY] precious [PERIOD]
courageous [AND] ugliest [IMPLY] fine [PERIOD]
condemned [AND] precious [AND] glamorous [IMPLY] courageous [PERIOD]
tame [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] thoughtless [PERIOD]
friendly [AND] disobedient [AND] difficult [IMPLY] silly [PERIOD]
frail [AND] helpless [AND] wrong [IMPLY] scared [PERIOD]
scared [AND] helpless [IMPLY] frail [PERIOD]
fine [AND] diplomatic [AND] cooperative [IMPLY] fearless [PERIOD]
thoughtless [AND] glamorous [IMPLY] diplomatic [PERIOD]
friendly [AND] exuberant [AND] difficult [IMPLY] diplomatic [PERIOD]
light [AND] helpless [IMPLY] fine [PERIOD]
tame [AND] ugliest [AND] cooperative [IMPLY] impartial [PERIOD]
impartial [AND] cooperative [IMPLY] precious [PERIOD]
scared [AND] light [AND] helpless [IMPLY] condemned [PERIOD]
glamorous [AND] light [AND] bad-tempered [IMPLY] exuberant [PERIOD]
cooperative [AND] frail [AND] glamorous [IMPLY] tame [PERIOD]
difficult [AND] precious [AND] ugly [IMPLY] courageous [PERIOD]
disobedient [IMPLY] tame [PERIOD]
bad-tempered [AND] condemned [AND] difficult [IMPLY] impartial [PERIOD]
agreeable [AND] thoughtless [AND] fearless [IMPLY] wrong [PERIOD]
difficult [IMPLY] courageous [PERIOD]
courageous [AND] thoughtless [IMPLY] ugly [PERIOD]
exuberant [AND] impartial [IMPLY] helpless [PERIOD]
silly [AND] impartial [AND] cooperative [IMPLY] friendly [PERIOD]
fine [IMPLY] ugliest [PERIOD]
fine [AND] fearless [IMPLY] bad-tempered [PERIOD]
precious [AND] tame [AND] courageous [IMPLY] disobedient [PERIOD]
exuberant [IMPLY] light [PERIOD]
scared [IMPLY] glamorous [PERIOD]
exuberant [IMPLY] fearless [PERIOD]
ugly [AND] disobedient [IMPLY] thoughtless [PERIOD]
helpless [AND] friendly [AND] condemned [IMPLY] agreeable [PERIOD]
glamorous [IMPLY] silly [PERIOD]
difficult [AND] friendly [IMPLY] impartial [PERIOD]
courageous [IMPLY] condemned [PERIOD]
helpless [AND] silly [AND] friendly [IMPLY] ugly [PERIOD]
wrong [IMPLY] diplomatic [PERIOD]
condemned [IMPLY] helpless [PERIOD]
light [AND] helpless [IMPLY] diplomatic [PERIOD]
difficult [AND] fine [IMPLY] scared [PERIOD]
ugliest [IMPLY] tame [PERIOD]
courageous [AND] precious [AND] exuberant [IMPLY] bad-tempered [PERIOD]
condemned [AND] agreeable [IMPLY] scared [PERIOD]
light [IMPLY] precious [PERIOD]
frail [AND] light [IMPLY] helpless [PERIOD]
glamorous [AND] agreeable [IMPLY] fearless [PERIOD]
fine [IMPLY] agreeable [PERIOD]
silly [IMPLY] courageous [PERIOD]
impartial [AND] wrong [IMPLY] silly [PERIOD]
ugliest [AND] tame [AND] glamorous [IMPLY] friendly [PERIOD]
light [IMPLY] disobedient [PERIOD]
scared [IMPLY] tame [PERIOD]
precious [AND] fearless [IMPLY] condemned [PERIOD]
scared [IMPLY] wrong [PERIOD]
ugliest [AND] fine [AND] tame [IMPLY] precious [PERIOD]
scared [IMPLY] impartial [PERIOD]
thoughtless [AND] friendly [AND] bad-tempered [IMPLY] tame [PERIOD]
exuberant [AND] disobedient [AND] light [IMPLY] bad-tempered [PERIOD]
condemned [IMPLY] wrong [PERIOD]
tame [AND] disobedient [IMPLY] courageous [PERIOD]
glamorous [AND] agreeable [IMPLY] thoughtless [PERIOD]
tame [AND] helpless [AND] impartial [IMPLY] scared [PERIOD]
fine [AND] glamorous [AND] impartial [IMPLY] exuberant [PERIOD]
difficult [AND] tame [AND] courageous [IMPLY] ugliest [PERIOD]
light [AND] wrong [AND] silly [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] scared [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   Cannot apply rule “ugly ∧ diplomatic ∧ fearless ⇒ courageous” because missing: ugly, diplomatic, fearless.
   Cannot apply rule “condemned ∧ precious ∧ glamorous ⇒ courageous” because missing: condemned, precious, glamorous.
   Cannot apply rule “difficult ∧ precious ∧ ugly ⇒ courageous” because missing: difficult, precious, ugly.
   Cannot apply rule “difficult ⇒ courageous” because missing: difficult.
   Cannot apply rule “silly ⇒ courageous” because missing: silly.
   Cannot apply rule “tame ∧ disobedient ⇒ courageous” because missing: tame, disobedient.
",0,6
"Facts: 
Rules:
blushing [AND] talkative [IMPLY] mysterious [PERIOD]
zealous [IMPLY] blushing [PERIOD]
zealous [AND] talkative [IMPLY] mysterious [PERIOD]
clumsy [AND] mysterious [AND] blushing [IMPLY] zealous [PERIOD]
clumsy [IMPLY] blushing [PERIOD]
clumsy [AND] talkative [IMPLY] blushing [PERIOD]
talkative [IMPLY] zealous [PERIOD]
talkative [AND] blushing [AND] clumsy [IMPLY] mysterious [PERIOD]
talkative [IMPLY] mysterious [PERIOD]
mysterious [AND] clumsy [IMPLY] talkative [PERIOD]
blushing [AND] clumsy [IMPLY] zealous [PERIOD]
zealous [AND] clumsy [AND] mysterious [IMPLY] blushing [PERIOD]
talkative [AND] clumsy [AND] mysterious [IMPLY] zealous [PERIOD]
talkative [AND] clumsy [IMPLY] mysterious [PERIOD]
mysterious [AND] clumsy [IMPLY] blushing [PERIOD]
mysterious [AND] blushing [IMPLY] clumsy [PERIOD]
mysterious [IMPLY] talkative [PERIOD]
clumsy [IMPLY] talkative [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
   Cannot apply rule “clumsy ∧ mysterious ∧ blushing ⇒ zealous” because missing: clumsy, mysterious, blushing.
   Cannot apply rule “talkative ⇒ zealous” because missing: talkative.
   Cannot apply rule “blushing ∧ clumsy ⇒ zealous” because missing: blushing, clumsy.
   Cannot apply rule “talkative ∧ clumsy ∧ mysterious ⇒ zealous” because missing: talkative, clumsy, mysterious.
",0,4
"Facts:  Alice is selfish [PERIOD] Alice is vivacious [PERIOD]
Rules:
long [AND] innocent [AND] bossy [IMPLY] zealous [PERIOD]
innocent [AND] thoughtful [AND] zealous [IMPLY] bossy [PERIOD]
enchanting [AND] frail [AND] tender [IMPLY] thoughtful [PERIOD]
alert [IMPLY] long [PERIOD]
vivacious [AND] thoughtful [IMPLY] bossy [PERIOD]
selfish [AND] tender [AND] bossy [IMPLY] thoughtful [PERIOD]
zealous [IMPLY] messy [PERIOD]
long [AND] innocent [IMPLY] bossy [PERIOD]
enchanting [IMPLY] tender [PERIOD]
frail [IMPLY] bossy [PERIOD]
modern [IMPLY] tidy [PERIOD]
tidy [AND] thoughtful [IMPLY] vivacious [PERIOD]
innocent [IMPLY] long [PERIOD]
zealous [IMPLY] modern [PERIOD]
bossy [AND] selfish [AND] tidy [IMPLY] vivacious [PERIOD]
modern [AND] selfish [IMPLY] enchanting [PERIOD]
modern [AND] enchanting [AND] tidy [IMPLY] bossy [PERIOD]
alert [AND] enchanting [IMPLY] zealous [PERIOD]
alert [AND] selfish [IMPLY] long [PERIOD]
modern [AND] tidy [IMPLY] selfish [PERIOD]
modern [IMPLY] tender [PERIOD]
frail [AND] enchanting [IMPLY] selfish [PERIOD]
frail [AND] vivacious [IMPLY] long [PERIOD]
thoughtful [AND] innocent [IMPLY] vivacious [PERIOD]
frail [AND] modern [IMPLY] tender [PERIOD]
thoughtful [AND] alert [AND] innocent [IMPLY] frail [PERIOD]
zealous [AND] innocent [AND] modern [IMPLY] frail [PERIOD]
tidy [AND] modern [AND] tender [IMPLY] selfish [PERIOD]
modern [AND] enchanting [IMPLY] long [PERIOD]
long [IMPLY] modern [PERIOD]
frail [IMPLY] modern [PERIOD]
zealous [AND] long [AND] selfish [IMPLY] alert [PERIOD]
modern [AND] tender [AND] thoughtful [IMPLY] messy [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   Cannot apply rule “enchanting ∧ frail ∧ tender ⇒ thoughtful” because missing: enchanting, frail, tender.
   Cannot apply rule “selfish ∧ tender ∧ bossy ⇒ thoughtful” because missing: tender, bossy.
",0,2
"Facts: 
Rules:
long [IMPLY] clean [PERIOD]
inexpensive [AND] rational [IMPLY] excited [PERIOD]
thoughtful [AND] distinct [AND] clean [IMPLY] long [PERIOD]
blushing [AND] clean [AND] polite [IMPLY] inexpensive [PERIOD]
fine [AND] lonely [AND] diplomatic [IMPLY] pessimistic [PERIOD]
lonely [AND] excited [AND] diplomatic [IMPLY] distinct [PERIOD]
blushing [AND] thoughtful [IMPLY] excited [PERIOD]
clean [IMPLY] excited [PERIOD]
comfortable [AND] long [IMPLY] thoughtful [PERIOD]
lonely [AND] inexpensive [IMPLY] thoughtful [PERIOD]
excited [AND] polite [AND] lonely [IMPLY] fine [PERIOD]
diplomatic [AND] inexpensive [AND] long [IMPLY] excited [PERIOD]
clean [AND] excited [AND] easy [IMPLY] comfortable [PERIOD]
thoughtful [AND] long [AND] comfortable [IMPLY] fine [PERIOD]
thoughtful [AND] clean [AND] fine [IMPLY] blushing [PERIOD]
fine [AND] inexpensive [IMPLY] easy [PERIOD]
polite [AND] lonely [AND] comfortable [IMPLY] long [PERIOD]
long [AND] diplomatic [IMPLY] inexpensive [PERIOD]
clean [IMPLY] lonely [PERIOD]
long [AND] rational [AND] excited [IMPLY] diplomatic [PERIOD]
distinct [AND] fine [AND] excited [IMPLY] rational [PERIOD]
distinct [AND] pessimistic [IMPLY] excited [PERIOD]
fine [IMPLY] comfortable [PERIOD]
polite [IMPLY] pessimistic [PERIOD]
inexpensive [AND] pessimistic [IMPLY] long [PERIOD]
long [IMPLY] distinct [PERIOD]
thoughtful [AND] rational [IMPLY] easy [PERIOD]
diplomatic [AND] thoughtful [IMPLY] clean [PERIOD]
polite [AND] rational [IMPLY] easy [PERIOD]
pessimistic [IMPLY] long [PERIOD]
thoughtful [AND] rational [AND] fine [IMPLY] clean [PERIOD]
pessimistic [AND] long [IMPLY] polite [PERIOD]
excited [IMPLY] blushing [PERIOD]
distinct [AND] rational [IMPLY] clean [PERIOD]
excited [AND] thoughtful [IMPLY] long [PERIOD]
rational [IMPLY] easy [PERIOD]
fine [AND] polite [AND] blushing [IMPLY] clean [PERIOD]
thoughtful [IMPLY] diplomatic [PERIOD]
thoughtful [AND] inexpensive [IMPLY] diplomatic [PERIOD]
lonely [AND] inexpensive [IMPLY] distinct [PERIOD]
comfortable [AND] rational [AND] clean [IMPLY] distinct [PERIOD]
lonely [IMPLY] blushing [PERIOD]
inexpensive [IMPLY] blushing [PERIOD]
clean [AND] rational [AND] fine [IMPLY] comfortable [PERIOD]
diplomatic [AND] clean [AND] comfortable [IMPLY] pessimistic [PERIOD]
polite [IMPLY] thoughtful [PERIOD]
polite [IMPLY] clean [PERIOD]
lonely [AND] comfortable [AND] thoughtful [IMPLY] long [PERIOD]
excited [AND] long [IMPLY] polite [PERIOD]
clean [IMPLY] comfortable [PERIOD]
long [IMPLY] rational [PERIOD]
fine [AND] easy [IMPLY] comfortable [PERIOD]
easy [IMPLY] polite [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
   Cannot apply rule “fine ∧ inexpensive ⇒ easy” because missing: fine, inexpensive.
   Cannot apply rule “thoughtful ∧ rational ⇒ easy” because missing: thoughtful, rational.
   Cannot apply rule “polite ∧ rational ⇒ easy” because missing: polite, rational.
   Cannot apply rule “rational ⇒ easy” because missing: rational.
",0,4
"Facts:  Alice is amused [PERIOD] Alice is elegant [PERIOD]
Rules:
fearless [IMPLY] elegant [PERIOD]
average [AND] elegant [IMPLY] fearless [PERIOD]
zealous [IMPLY] fearless [PERIOD]
victorious [IMPLY] amused [PERIOD]
elated [AND] victorious [IMPLY] average [PERIOD]
victorious [AND] fearless [IMPLY] helpful [PERIOD]
cooperative [AND] amused [IMPLY] fearless [PERIOD]
cooperative [IMPLY] average [PERIOD]
fearless [AND] victorious [IMPLY] cooperative [PERIOD]
helpful [IMPLY] elegant [PERIOD]
victorious [AND] amused [IMPLY] helpful [PERIOD]
average [IMPLY] elegant [PERIOD]
elated [IMPLY] victorious [PERIOD]
fearless [IMPLY] cooperative [PERIOD]
zealous [AND] fearless [IMPLY] average [PERIOD]
victorious [IMPLY] fearless [PERIOD]
helpful [AND] elegant [IMPLY] fearless [PERIOD]
elated [AND] elegant [IMPLY] amused [PERIOD]
elated [IMPLY] average [PERIOD]
innocent [AND] fearless [IMPLY] elated [PERIOD]
amused [AND] cooperative [AND] zealous [IMPLY] innocent [PERIOD]
fearless [AND] helpful [AND] elegant [IMPLY] zealous [PERIOD]
helpful [AND] zealous [IMPLY] calm [PERIOD]
fearless [AND] zealous [IMPLY] calm [PERIOD]
fearless [AND] victorious [AND] helpful [IMPLY] calm [PERIOD]
elegant [AND] quaint [IMPLY] elated [PERIOD]
helpful [IMPLY] quaint [PERIOD]
amused [AND] elegant [IMPLY] innocent [PERIOD]
zealous [IMPLY] average [PERIOD]
fearless [AND] helpful [IMPLY] calm [PERIOD]
amused [AND] cooperative [IMPLY] elated [PERIOD]
cooperative [AND] average [AND] amused [IMPLY] helpful [PERIOD]
cooperative [AND] fearless [AND] average [IMPLY] quaint [PERIOD]
elegant [AND] cooperative [IMPLY] quaint [PERIOD]
cooperative [AND] elated [IMPLY] zealous [PERIOD]
fearless [IMPLY] helpful [PERIOD]
amused [AND] calm [IMPLY] helpful [PERIOD]
zealous [IMPLY] quaint [PERIOD]
victorious [AND] elated [IMPLY] amused [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   Cannot apply rule “helpful ∧ zealous ⇒ calm” because missing: helpful, zealous.
   Cannot apply rule “fearless ∧ zealous ⇒ calm” because missing: fearless, zealous.
   Cannot apply rule “fearless ∧ victorious ∧ helpful ⇒ calm” because missing: fearless, victorious, helpful.
   Cannot apply rule “fearless ∧ helpful ⇒ calm” because missing: fearless, helpful.
",0,4
"Facts:  Alice is clumsy [PERIOD] Alice is selfish [PERIOD] Alice is enchanting [PERIOD]
Rules:
tame [AND] confident [IMPLY] sleepy [PERIOD]
attentive [IMPLY] troubled [PERIOD]
sincere [AND] attentive [AND] confident [IMPLY] thoughtful [PERIOD]
sleepy [IMPLY] stupid [PERIOD]
frantic [AND] sincere [AND] talented [IMPLY] joyous [PERIOD]
bossy [AND] wide-eyed [AND] ambitious [IMPLY] clumsy [PERIOD]
fancy [AND] horrible [AND] tidy [IMPLY] confident [PERIOD]
troubled [AND] talented [AND] confident [IMPLY] wandering [PERIOD]
fearless [AND] scared [AND] wandering [IMPLY] pleasant [PERIOD]
pleasant [AND] horrible [AND] attentive [IMPLY] sleepy [PERIOD]
troubled [AND] powerful [IMPLY] anxious [PERIOD]
dishonest [AND] alert [AND] fancy [IMPLY] attentive [PERIOD]
bossy [AND] selfish [AND] attentive [IMPLY] enchanting [PERIOD]
powerful [AND] fancy [AND] attentive [IMPLY] ambitious [PERIOD]
sleepy [IMPLY] tidy [PERIOD]
attentive [AND] sincere [IMPLY] alert [PERIOD]
clumsy [IMPLY] talented [PERIOD]
selfish [IMPLY] attentive [PERIOD]
alert [IMPLY] wandering [PERIOD]
attentive [AND] selfish [IMPLY] enchanting [PERIOD]
powerful [AND] scared [AND] confident [IMPLY] clumsy [PERIOD]
anxious [IMPLY] thoughtful [PERIOD]
powerful [AND] pleasant [IMPLY] wide-eyed [PERIOD]
talented [AND] bossy [AND] powerful [IMPLY] horrible [PERIOD]
fancy [AND] frantic [AND] stupid [IMPLY] wide-eyed [PERIOD]
sincere [IMPLY] wide-eyed [PERIOD]
confident [AND] sincere [AND] sleepy [IMPLY] thoughtful [PERIOD]
joyous [AND] anxious [AND] troubled [IMPLY] tame [PERIOD]
clumsy [AND] sleepy [AND] scared [IMPLY] troubled [PERIOD]
dishonest [AND] anxious [AND] bossy [IMPLY] thoughtful [PERIOD]
clumsy [AND] bossy [IMPLY] joyous [PERIOD]
sleepy [AND] stupid [IMPLY] talented [PERIOD]
powerful [AND] wide-eyed [AND] talented [IMPLY] attentive [PERIOD]
wandering [IMPLY] scared [PERIOD]
elated [IMPLY] sleepy [PERIOD]
wandering [AND] troubled [AND] tidy [IMPLY] wide-eyed [PERIOD]
powerful [AND] attentive [IMPLY] clumsy [PERIOD]
horrible [AND] attentive [IMPLY] wide-eyed [PERIOD]
fancy [IMPLY] confident [PERIOD]
selfish [AND] fancy [IMPLY] thoughtful [PERIOD]
anxious [AND] joyous [AND] tidy [IMPLY] attentive [PERIOD]
powerful [AND] tame [IMPLY] confident [PERIOD]
powerful [AND] talented [IMPLY] wide-eyed [PERIOD]
dishonest [AND] ambitious [IMPLY] joyous [PERIOD]
fancy [IMPLY] thoughtful [PERIOD]
thoughtful [AND] tame [AND] powerful [IMPLY] joyous [PERIOD]
powerful [AND] bossy [IMPLY] anxious [PERIOD]
elated [IMPLY] alert [PERIOD]
attentive [IMPLY] fancy [PERIOD]
alert [AND] powerful [IMPLY] troubled [PERIOD]
wide-eyed [AND] attentive [AND] joyous [IMPLY] confident [PERIOD]
joyous [AND] anxious [AND] ambitious [IMPLY] talented [PERIOD]
fancy [AND] ambitious [AND] alert [IMPLY] fearless [PERIOD]
horrible [IMPLY] dishonest [PERIOD]
attentive [IMPLY] pleasant [PERIOD]
wide-eyed [AND] joyous [IMPLY] talented [PERIOD]
enchanting [AND] powerful [AND] wide-eyed [IMPLY] tidy [PERIOD]
ambitious [AND] bossy [AND] tame [IMPLY] clumsy [PERIOD]
fancy [AND] alert [AND] bossy [IMPLY] dishonest [PERIOD]
confident [AND] alert [AND] scared [IMPLY] wide-eyed [PERIOD]
wandering [AND] tame [IMPLY] horrible [PERIOD]
pleasant [IMPLY] scared [PERIOD]
tame [IMPLY] pleasant [PERIOD]
tidy [AND] fancy [IMPLY] sincere [PERIOD]
enchanting [AND] wandering [IMPLY] troubled [PERIOD]
joyous [IMPLY] ambitious [PERIOD]
scared [AND] ambitious [IMPLY] powerful [PERIOD]
enchanting [AND] alert [IMPLY] tame [PERIOD]
horrible [AND] pleasant [IMPLY] bossy [PERIOD]
dishonest [AND] clumsy [IMPLY] pleasant [PERIOD]
sincere [AND] stupid [AND] selfish [IMPLY] alert [PERIOD]
attentive [AND] dishonest [AND] clumsy [IMPLY] wide-eyed [PERIOD]
clumsy [AND] bossy [IMPLY] horrible [PERIOD]
enchanting [AND] thoughtful [IMPLY] bossy [PERIOD]
enchanting [IMPLY] ambitious [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
   selfish ⇒ attentive
   attentive ⇒ fancy
   selfish ∧ fancy ⇒ thoughtful
   enchanting ∧ thoughtful ⇒ bossy
   clumsy ∧ bossy ⇒ joyous
",1,5
"Facts:  Alice is bad-tempered [PERIOD] Alice is combative [PERIOD] Alice is outstanding [PERIOD]
Rules:
dull [AND] easy [IMPLY] amused [PERIOD]
dull [AND] bad-tempered [IMPLY] joyous [PERIOD]
joyous [AND] dishonest [AND] spotless [IMPLY] helpful [PERIOD]
naughty [AND] combative [AND] easy [IMPLY] amused [PERIOD]
combative [IMPLY] outstanding [PERIOD]
inquisitive [AND] helpful [AND] naughty [IMPLY] amused [PERIOD]
dull [AND] easy [IMPLY] outstanding [PERIOD]
outstanding [AND] spotless [AND] combative [IMPLY] naughty [PERIOD]
joyous [AND] naughty [AND] spotless [IMPLY] helpful [PERIOD]
spotless [IMPLY] zealous [PERIOD]
easy [IMPLY] dull [PERIOD]
naughty [IMPLY] easy [PERIOD]
zealous [IMPLY] bright [PERIOD]
inquisitive [AND] spotless [IMPLY] bright [PERIOD]
bright [AND] zealous [AND] joyous [IMPLY] naughty [PERIOD]
outstanding [IMPLY] easy [PERIOD]
dishonest [AND] outstanding [IMPLY] dull [PERIOD]
dull [AND] combative [IMPLY] bad-tempered [PERIOD]
bright [AND] bad-tempered [AND] easy [IMPLY] dull [PERIOD]
bad-tempered [AND] easy [AND] spotless [IMPLY] zealous [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   Cannot apply rule “outstanding ∧ spotless ∧ combative ⇒ naughty” because missing: spotless.
   outstanding ⇒ easy
   easy ⇒ dull
   dull ∧ bad-tempered ⇒ joyous
   Cannot apply rule “bright ∧ zealous ∧ joyous ⇒ naughty” because missing: bright, zealous.
",0,5
"Facts:  Alice is outstanding [PERIOD] Alice is charming [PERIOD] Alice is gleaming [PERIOD] Alice is confused [PERIOD] Alice is comfortable [PERIOD] Alice is pessimistic [PERIOD] Alice is blushing [PERIOD] Alice is embarrassed [PERIOD] Alice is inexpensive [PERIOD] Alice is average [PERIOD] Alice is gifted [PERIOD] Alice is wrong [PERIOD]
Rules:
gifted [AND] embarrassed [IMPLY] comfortable [PERIOD]
jittery [AND] inexpensive [AND] embarrassed [IMPLY] gleaming [PERIOD]
versatile [AND] inexpensive [AND] disgusted [IMPLY] good [PERIOD]
tender [AND] gifted [AND] different [IMPLY] stormy [PERIOD]
careless [AND] excited [AND] worrisome [IMPLY] different [PERIOD]
embarrassed [AND] selfish [AND] disgusted [IMPLY] smart [PERIOD]
wrong [AND] charming [IMPLY] thoughtless [PERIOD]
outstanding [AND] worrisome [AND] pessimistic [IMPLY] wide-eyed [PERIOD]
famous [IMPLY] worrisome [PERIOD]
selfish [AND] gifted [IMPLY] jittery [PERIOD]
inexpensive [IMPLY] good [PERIOD]
good [AND] versatile [IMPLY] smart [PERIOD]
inexpensive [AND] careless [AND] blushing [IMPLY] different [PERIOD]
charming [AND] blushing [IMPLY] comfortable [PERIOD]
outstanding [AND] gleaming [IMPLY] confused [PERIOD]
charming [IMPLY] jittery [PERIOD]
famous [AND] charming [IMPLY] average [PERIOD]
stormy [AND] worrisome [IMPLY] comfortable [PERIOD]
smart [AND] wrong [IMPLY] embarrassed [PERIOD]
tender [IMPLY] smart [PERIOD]
comfortable [AND] wrong [AND] smart [IMPLY] wide-eyed [PERIOD]
gleaming [AND] worrisome [IMPLY] confused [PERIOD]
stormy [IMPLY] famous [PERIOD]
good [AND] famous [IMPLY] blushing [PERIOD]
wide-eyed [IMPLY] good [PERIOD]
wide-eyed [IMPLY] careless [PERIOD]
excited [AND] gifted [IMPLY] pessimistic [PERIOD]
beautiful [AND] outstanding [IMPLY] embarrassed [PERIOD]
embarrassed [AND] comfortable [IMPLY] famous [PERIOD]
wrong [AND] careless [IMPLY] average [PERIOD]
wide-eyed [AND] disgusted [IMPLY] versatile [PERIOD]
smart [IMPLY] stormy [PERIOD]
confused [AND] smart [AND] inexpensive [IMPLY] average [PERIOD]
disgusted [AND] gleaming [AND] versatile [IMPLY] good [PERIOD]
embarrassed [AND] jittery [IMPLY] outstanding [PERIOD]
blushing [IMPLY] stormy [PERIOD]
blushing [IMPLY] worrisome [PERIOD]
excited [AND] careless [IMPLY] stormy [PERIOD]
good [AND] versatile [AND] gleaming [IMPLY] average [PERIOD]
inexpensive [AND] smart [AND] selfish [IMPLY] embarrassed [PERIOD]
tender [AND] disgusted [IMPLY] gleaming [PERIOD]
different [AND] blushing [AND] gleaming [IMPLY] average [PERIOD]
jittery [IMPLY] comfortable [PERIOD]
comfortable [IMPLY] sensible [PERIOD]
careless [AND] gleaming [IMPLY] jittery [PERIOD]
wide-eyed [AND] comfortable [AND] versatile [IMPLY] outstanding [PERIOD]
selfish [IMPLY] confused [PERIOD]
different [IMPLY] gifted [PERIOD]
comfortable [AND] tender [IMPLY] excited [PERIOD]
sensible [IMPLY] confused [PERIOD]
smart [AND] pessimistic [AND] blushing [IMPLY] careless [PERIOD]
careless [AND] inexpensive [IMPLY] smart [PERIOD]
sensible [IMPLY] selfish [PERIOD]
outstanding [IMPLY] gleaming [PERIOD]
confused [IMPLY] worrisome [PERIOD]
pessimistic [IMPLY] disgusted [PERIOD]
selfish [IMPLY] wide-eyed [PERIOD]
charming [AND] different [IMPLY] disgusted [PERIOD]
careless [IMPLY] comfortable [PERIOD]
beautiful [AND] jittery [IMPLY] careless [PERIOD]
jittery [AND] different [AND] comfortable [IMPLY] famous [PERIOD]
different [IMPLY] stormy [PERIOD]
confused [AND] pessimistic [AND] disgusted [IMPLY] outstanding [PERIOD]
worrisome [AND] excited [IMPLY] careless [PERIOD]
confused [IMPLY] beautiful [PERIOD]
famous [IMPLY] blushing [PERIOD]
good [IMPLY] worrisome [PERIOD]
average [IMPLY] outstanding [PERIOD]
wide-eyed [IMPLY] beautiful [PERIOD]
Query: Alice is versatile [PERIOD]","Proof chain:
   blushing ⇒ worrisome
   outstanding ∧ worrisome ∧ pessimistic ⇒ wide-eyed
   pessimistic ⇒ disgusted
   wide-eyed ∧ disgusted ⇒ versatile
",1,4
"Facts:  Alice is spotless [PERIOD] Alice is fine [PERIOD] Alice is frail [PERIOD] Alice is cute [PERIOD]
Rules:
clean [AND] cute [IMPLY] average [PERIOD]
shiny [AND] average [IMPLY] frail [PERIOD]
frail [AND] spotless [IMPLY] shiny [PERIOD]
shiny [AND] spotless [AND] anxious [IMPLY] clean [PERIOD]
average [AND] anxious [AND] cute [IMPLY] clean [PERIOD]
clean [AND] fine [AND] spotless [IMPLY] shiny [PERIOD]
fine [AND] average [IMPLY] cute [PERIOD]
anxious [AND] cute [IMPLY] frail [PERIOD]
cute [IMPLY] shiny [PERIOD]
anxious [IMPLY] frail [PERIOD]
anxious [AND] average [AND] fine [IMPLY] clean [PERIOD]
average [AND] spotless [IMPLY] frail [PERIOD]
spotless [AND] clean [IMPLY] shiny [PERIOD]
fine [AND] shiny [IMPLY] spotless [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   cute ⇒ shiny
   Cannot apply rule “shiny ∧ spotless ∧ anxious ⇒ clean” because missing: anxious.
   Cannot apply rule “average ∧ anxious ∧ cute ⇒ clean” because missing: average, anxious.
   Cannot apply rule “anxious ∧ average ∧ fine ⇒ clean” because missing: anxious, average.
",0,4
"Facts: 
Rules:
hypocritical [AND] gifted [AND] homely [IMPLY] joyous [PERIOD]
dull [AND] bossy [AND] gifted [IMPLY] hypocritical [PERIOD]
bossy [IMPLY] gifted [PERIOD]
joyous [IMPLY] dull [PERIOD]
joyous [AND] gifted [AND] homely [IMPLY] dull [PERIOD]
hypocritical [IMPLY] dull [PERIOD]
joyous [AND] bossy [IMPLY] homely [PERIOD]
joyous [AND] dull [IMPLY] hypocritical [PERIOD]
homely [AND] bossy [AND] hypocritical [IMPLY] joyous [PERIOD]
hypocritical [AND] joyous [AND] homely [IMPLY] bossy [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
   Cannot apply rule “hypocritical ∧ gifted ∧ homely ⇒ joyous” because missing: hypocritical, gifted, homely.
   Cannot apply rule “homely ∧ bossy ∧ hypocritical ⇒ joyous” because missing: homely, bossy, hypocritical.
",0,2
"Facts:  Alice is different [PERIOD] Alice is tender [PERIOD] Alice is ugly [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
bright [AND] confident [AND] different [IMPLY] wrong [PERIOD]
tender [IMPLY] ambitious [PERIOD]
condemned [AND] clean [AND] inexpensive [IMPLY] alert [PERIOD]
fragile [AND] condemned [IMPLY] ambitious [PERIOD]
bored [AND] amused [IMPLY] clean [PERIOD]
different [AND] ambitious [IMPLY] friendly [PERIOD]
clean [IMPLY] fragile [PERIOD]
light [IMPLY] combative [PERIOD]
bad-tempered [AND] wrong [AND] fragile [IMPLY] dishonest [PERIOD]
cute [AND] different [IMPLY] condemned [PERIOD]
dishonest [IMPLY] glamorous [PERIOD]
condemned [AND] ugly [IMPLY] clean [PERIOD]
wrong [IMPLY] bad-tempered [PERIOD]
wrong [IMPLY] fragile [PERIOD]
wrong [AND] tender [AND] calm [IMPLY] modern [PERIOD]
ambitious [AND] calm [AND] wrong [IMPLY] different [PERIOD]
alert [IMPLY] calm [PERIOD]
ambitious [AND] inexpensive [IMPLY] light [PERIOD]
amused [AND] victorious [AND] condemned [IMPLY] calm [PERIOD]
confident [AND] bored [IMPLY] friendly [PERIOD]
disobedient [AND] bright [IMPLY] glamorous [PERIOD]
talkative [AND] wrong [AND] confident [IMPLY] bad-tempered [PERIOD]
friendly [AND] light [AND] amused [IMPLY] wrong [PERIOD]
cute [AND] clean [IMPLY] fragile [PERIOD]
ambitious [AND] cute [AND] ugly [IMPLY] light [PERIOD]
inexpensive [IMPLY] light [PERIOD]
bad-tempered [IMPLY] confident [PERIOD]
inexpensive [AND] condemned [IMPLY] talkative [PERIOD]
fragile [AND] modern [IMPLY] calm [PERIOD]
ugly [AND] confident [AND] glamorous [IMPLY] dishonest [PERIOD]
bad-tempered [AND] different [AND] confident [IMPLY] condemned [PERIOD]
tender [AND] disobedient [IMPLY] inexpensive [PERIOD]
ugly [IMPLY] friendly [PERIOD]
disobedient [AND] bored [IMPLY] cute [PERIOD]
wrong [AND] talkative [IMPLY] alert [PERIOD]
alert [AND] clean [IMPLY] confident [PERIOD]
amused [AND] disgusted [IMPLY] condemned [PERIOD]
wrong [IMPLY] alert [PERIOD]
cute [AND] confident [IMPLY] bored [PERIOD]
bad-tempered [AND] cute [AND] combative [IMPLY] calm [PERIOD]
condemned [AND] dishonest [AND] different [IMPLY] light [PERIOD]
dishonest [AND] condemned [AND] fragile [IMPLY] cute [PERIOD]
different [AND] ambitious [AND] talkative [IMPLY] inexpensive [PERIOD]
bored [AND] cute [AND] clean [IMPLY] glamorous [PERIOD]
disgusted [AND] fragile [IMPLY] bright [PERIOD]
alert [AND] courageous [IMPLY] inexpensive [PERIOD]
inexpensive [AND] dishonest [IMPLY] clean [PERIOD]
disobedient [IMPLY] amused [PERIOD]
ambitious [AND] ugly [AND] confident [IMPLY] bored [PERIOD]
modern [IMPLY] disobedient [PERIOD]
victorious [AND] calm [IMPLY] amused [PERIOD]
different [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] amused [AND] light [IMPLY] tender [PERIOD]
confident [IMPLY] victorious [PERIOD]
inexpensive [IMPLY] tender [PERIOD]
fragile [AND] calm [IMPLY] condemned [PERIOD]
talkative [AND] ambitious [IMPLY] tender [PERIOD]
glamorous [AND] inexpensive [AND] light [IMPLY] ugly [PERIOD]
light [IMPLY] confident [PERIOD]
alert [IMPLY] fragile [PERIOD]
disgusted [IMPLY] bad-tempered [PERIOD]
calm [AND] disobedient [IMPLY] glamorous [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   bad-tempered ⇒ confident
   bad-tempered ∧ different ∧ confident ⇒ condemned
   condemned ∧ ugly ⇒ clean
   clean ⇒ fragile
   Cannot apply rule “bad-tempered ∧ wrong ∧ fragile ⇒ dishonest” because missing: wrong.
   bad-tempered ⇒ confident
   Cannot apply rule “ugly ∧ confident ∧ glamorous ⇒ dishonest” because missing: glamorous.
",0,7
"Facts:  Alice is supportive [PERIOD] Alice is disgusted [PERIOD]
Rules:
lucky [AND] rational [IMPLY] disgusted [PERIOD]
tame [IMPLY] attentive [PERIOD]
plain [AND] lucky [AND] excited [IMPLY] rational [PERIOD]
long [AND] excited [IMPLY] supportive [PERIOD]
polite [IMPLY] disgusted [PERIOD]
polite [AND] excited [IMPLY] plain [PERIOD]
long [AND] busy [AND] plain [IMPLY] tame [PERIOD]
lucky [IMPLY] plain [PERIOD]
tame [AND] busy [AND] polite [IMPLY] long [PERIOD]
busy [AND] tame [AND] supportive [IMPLY] disgusted [PERIOD]
supportive [AND] busy [IMPLY] tame [PERIOD]
disgusted [AND] excited [IMPLY] tame [PERIOD]
supportive [AND] disgusted [AND] polite [IMPLY] busy [PERIOD]
long [AND] excited [AND] disgusted [IMPLY] tame [PERIOD]
rational [AND] disgusted [AND] supportive [IMPLY] excited [PERIOD]
long [AND] disgusted [AND] lucky [IMPLY] rational [PERIOD]
long [AND] excited [AND] polite [IMPLY] rational [PERIOD]
polite [IMPLY] tame [PERIOD]
disgusted [AND] rational [AND] supportive [IMPLY] attentive [PERIOD]
polite [IMPLY] attentive [PERIOD]
busy [IMPLY] lucky [PERIOD]
long [IMPLY] busy [PERIOD]
tame [AND] attentive [IMPLY] plain [PERIOD]
attentive [AND] polite [AND] busy [IMPLY] long [PERIOD]
excited [AND] long [AND] rational [IMPLY] plain [PERIOD]
attentive [AND] long [IMPLY] disgusted [PERIOD]
tame [IMPLY] busy [PERIOD]
excited [AND] tame [IMPLY] plain [PERIOD]
lucky [IMPLY] tame [PERIOD]
attentive [AND] polite [AND] busy [IMPLY] lucky [PERIOD]
plain [IMPLY] busy [PERIOD]
lucky [AND] tame [IMPLY] attentive [PERIOD]
polite [AND] excited [AND] rational [IMPLY] plain [PERIOD]
busy [AND] disgusted [AND] attentive [IMPLY] rational [PERIOD]
long [AND] attentive [IMPLY] excited [PERIOD]
disgusted [AND] tame [AND] attentive [IMPLY] polite [PERIOD]
supportive [IMPLY] tame [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   supportive ⇒ tame
   tame ⇒ busy
   supportive ⇒ tame
   tame ⇒ attentive
   busy ∧ disgusted ∧ attentive ⇒ rational
",1,5
"Facts:  Alice is intellectual [PERIOD] Alice is weary [PERIOD] Alice is talkative [PERIOD] Alice is gorgeous [PERIOD] Alice is easy [PERIOD] Alice is clean [PERIOD]
Rules:
talkative [AND] dishonest [IMPLY] intellectual [PERIOD]
gorgeous [AND] talkative [IMPLY] gifted [PERIOD]
dishonest [AND] perfect [AND] clumsy [IMPLY] weary [PERIOD]
intellectual [AND] dishonest [AND] bright [IMPLY] talkative [PERIOD]
clumsy [IMPLY] bright [PERIOD]
reserved [IMPLY] bright [PERIOD]
reserved [AND] easy [AND] weary [IMPLY] gifted [PERIOD]
supportive [AND] disgusted [IMPLY] gifted [PERIOD]
supportive [IMPLY] clean [PERIOD]
easy [AND] intellectual [AND] clean [IMPLY] difficult [PERIOD]
talkative [AND] weary [AND] difficult [IMPLY] supportive [PERIOD]
bright [AND] weary [AND] clumsy [IMPLY] talkative [PERIOD]
supportive [IMPLY] weary [PERIOD]
intellectual [IMPLY] dishonest [PERIOD]
intellectual [AND] clumsy [AND] gorgeous [IMPLY] dishonest [PERIOD]
perfect [IMPLY] supportive [PERIOD]
difficult [AND] weary [AND] bright [IMPLY] gorgeous [PERIOD]
talkative [IMPLY] gifted [PERIOD]
clumsy [AND] clean [AND] dishonest [IMPLY] talented [PERIOD]
talented [AND] clumsy [AND] reserved [IMPLY] dishonest [PERIOD]
gorgeous [AND] disgusted [AND] difficult [IMPLY] bright [PERIOD]
gifted [IMPLY] difficult [PERIOD]
bright [AND] disgusted [IMPLY] perfect [PERIOD]
clumsy [AND] clean [AND] disgusted [IMPLY] reserved [PERIOD]
perfect [AND] difficult [AND] disgusted [IMPLY] intellectual [PERIOD]
talented [IMPLY] bright [PERIOD]
difficult [AND] talkative [AND] bright [IMPLY] supportive [PERIOD]
clean [AND] disgusted [IMPLY] gorgeous [PERIOD]
dishonest [AND] talented [AND] disgusted [IMPLY] gorgeous [PERIOD]
disgusted [AND] talkative [AND] dishonest [IMPLY] supportive [PERIOD]
talented [AND] reserved [IMPLY] talkative [PERIOD]
clean [AND] difficult [AND] gifted [IMPLY] disgusted [PERIOD]
supportive [AND] gorgeous [AND] dishonest [IMPLY] intellectual [PERIOD]
weary [IMPLY] talkative [PERIOD]
easy [AND] gorgeous [AND] intellectual [IMPLY] bright [PERIOD]
talented [IMPLY] gifted [PERIOD]
clean [IMPLY] supportive [PERIOD]
dishonest [AND] talkative [IMPLY] gifted [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   easy ∧ gorgeous ∧ intellectual ⇒ bright
   easy ∧ intellectual ∧ clean ⇒ difficult
   gorgeous ∧ talkative ⇒ gifted
   clean ∧ difficult ∧ gifted ⇒ disgusted
   bright ∧ disgusted ⇒ perfect
",1,5
"Facts:  Alice is charming [PERIOD]
Rules:
talkative [IMPLY] dull [PERIOD]
dull [AND] rational [AND] curious [IMPLY] shy [PERIOD]
impatient [IMPLY] rational [PERIOD]
unpleasant [IMPLY] talkative [PERIOD]
confident [IMPLY] rude [PERIOD]
curious [AND] shy [AND] rude [IMPLY] bored [PERIOD]
jittery [AND] charming [AND] impatient [IMPLY] clumsy [PERIOD]
jittery [AND] loving [IMPLY] nervous [PERIOD]
wide-eyed [IMPLY] talkative [PERIOD]
impatient [IMPLY] curious [PERIOD]
impatient [AND] loving [IMPLY] nervous [PERIOD]
unpleasant [IMPLY] charming [PERIOD]
fragile [IMPLY] nervous [PERIOD]
charming [IMPLY] agreeable [PERIOD]
jittery [IMPLY] talkative [PERIOD]
confident [AND] silly [AND] talkative [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] rude [PERIOD]
talkative [AND] wide-eyed [AND] fragile [IMPLY] loving [PERIOD]
unpleasant [AND] silly [IMPLY] bored [PERIOD]
dull [AND] silly [AND] wide-eyed [IMPLY] victorious [PERIOD]
victorious [IMPLY] confident [PERIOD]
confident [IMPLY] curious [PERIOD]
shy [AND] agreeable [IMPLY] clumsy [PERIOD]
talkative [AND] loving [AND] bored [IMPLY] clumsy [PERIOD]
victorious [IMPLY] wide-eyed [PERIOD]
dull [AND] rude [AND] wide-eyed [IMPLY] victorious [PERIOD]
victorious [IMPLY] rational [PERIOD]
clumsy [AND] curious [AND] charming [IMPLY] victorious [PERIOD]
clumsy [AND] dull [IMPLY] shy [PERIOD]
selfish [AND] shy [IMPLY] talkative [PERIOD]
silly [AND] confident [AND] shy [IMPLY] rational [PERIOD]
silly [AND] loving [AND] agreeable [IMPLY] curious [PERIOD]
victorious [AND] unpleasant [IMPLY] selfish [PERIOD]
agreeable [AND] bored [IMPLY] charming [PERIOD]
loving [AND] selfish [AND] rude [IMPLY] confident [PERIOD]
dull [AND] rude [IMPLY] agreeable [PERIOD]
confident [AND] charming [IMPLY] nervous [PERIOD]
victorious [AND] nervous [IMPLY] dull [PERIOD]
clumsy [AND] rational [IMPLY] selfish [PERIOD]
loving [IMPLY] jittery [PERIOD]
impatient [IMPLY] selfish [PERIOD]
confident [AND] curious [IMPLY] jittery [PERIOD]
fragile [IMPLY] agreeable [PERIOD]
talkative [AND] shy [AND] nervous [IMPLY] fragile [PERIOD]
rational [AND] jittery [IMPLY] shy [PERIOD]
charming [AND] nervous [AND] confident [IMPLY] selfish [PERIOD]
fragile [AND] impatient [IMPLY] confident [PERIOD]
loving [AND] dull [AND] silly [IMPLY] bored [PERIOD]
rude [AND] impatient [AND] silly [IMPLY] bored [PERIOD]
rude [AND] dull [IMPLY] unpleasant [PERIOD]
clumsy [AND] unpleasant [IMPLY] confident [PERIOD]
wide-eyed [AND] unpleasant [IMPLY] bored [PERIOD]
rational [AND] wide-eyed [AND] curious [IMPLY] selfish [PERIOD]
charming [AND] jittery [IMPLY] shy [PERIOD]
dull [IMPLY] selfish [PERIOD]
selfish [AND] charming [AND] clumsy [IMPLY] talkative [PERIOD]
confident [AND] clumsy [AND] unpleasant [IMPLY] selfish [PERIOD]
clumsy [AND] talkative [IMPLY] loving [PERIOD]
impatient [IMPLY] nervous [PERIOD]
wide-eyed [IMPLY] clumsy [PERIOD]
rude [AND] agreeable [IMPLY] clumsy [PERIOD]
fragile [AND] selfish [IMPLY] confident [PERIOD]
impatient [AND] talkative [IMPLY] rude [PERIOD]
agreeable [AND] clumsy [AND] impatient [IMPLY] rational [PERIOD]
nervous [AND] unpleasant [AND] selfish [IMPLY] agreeable [PERIOD]
silly [IMPLY] confident [PERIOD]
confident [AND] clumsy [AND] rational [IMPLY] shy [PERIOD]
rude [IMPLY] bored [PERIOD]
bored [AND] curious [AND] silly [IMPLY] selfish [PERIOD]
agreeable [AND] jittery [IMPLY] victorious [PERIOD]
wide-eyed [IMPLY] silly [PERIOD]
curious [AND] jittery [IMPLY] bored [PERIOD]
nervous [IMPLY] charming [PERIOD]
rude [IMPLY] fragile [PERIOD]
charming [AND] bored [AND] rude [IMPLY] loving [PERIOD]
dull [AND] rude [AND] loving [IMPLY] fragile [PERIOD]
selfish [AND] bored [AND] dull [IMPLY] silly [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “unpleasant ⇒ talkative” because missing: unpleasant.
   Cannot apply rule “wide-eyed ⇒ talkative” because missing: wide-eyed.
   Cannot apply rule “jittery ⇒ talkative” because missing: jittery.
   Cannot apply rule “selfish ∧ shy ⇒ talkative” because missing: selfish, shy.
   Cannot apply rule “selfish ∧ charming ∧ clumsy ⇒ talkative” because missing: selfish, clumsy.
",0,5
"Facts:  Alice is weary [PERIOD]
Rules:
busy [AND] intellectual [AND] wrong [IMPLY] naughty [PERIOD]
grumpy [AND] foolish [IMPLY] weary [PERIOD]
clumsy [IMPLY] wrong [PERIOD]
adorable [IMPLY] condemned [PERIOD]
busy [AND] glamorous [IMPLY] tense [PERIOD]
glamorous [AND] condemned [AND] weary [IMPLY] hypocritical [PERIOD]
hypocritical [AND] tense [AND] ugliest [IMPLY] jittery [PERIOD]
jittery [IMPLY] glamorous [PERIOD]
wrong [AND] bossy [IMPLY] jittery [PERIOD]
ugly [AND] adorable [IMPLY] long [PERIOD]
tense [AND] bossy [IMPLY] old-fashioned [PERIOD]
adorable [IMPLY] bored [PERIOD]
tense [AND] busy [IMPLY] bossy [PERIOD]
condemned [AND] clumsy [IMPLY] horrible [PERIOD]
courageous [AND] bored [IMPLY] wrong [PERIOD]
long [IMPLY] condemned [PERIOD]
condemned [AND] bored [IMPLY] old-fashioned [PERIOD]
comfortable [IMPLY] hypocritical [PERIOD]
grumpy [IMPLY] comfortable [PERIOD]
condemned [AND] helpful [IMPLY] sensible [PERIOD]
foolish [IMPLY] wrong [PERIOD]
helpful [AND] ugly [IMPLY] ugliest [PERIOD]
courageous [AND] comfortable [IMPLY] sensible [PERIOD]
courageous [IMPLY] grumpy [PERIOD]
adorable [IMPLY] shy [PERIOD]
grumpy [AND] condemned [IMPLY] ugly [PERIOD]
grumpy [AND] adorable [AND] helpful [IMPLY] condemned [PERIOD]
helpful [AND] comfortable [IMPLY] bossy [PERIOD]
clumsy [AND] adorable [AND] jittery [IMPLY] old-fashioned [PERIOD]
condemned [AND] tense [IMPLY] long [PERIOD]
jittery [IMPLY] tense [PERIOD]
horrible [AND] ugliest [AND] bored [IMPLY] bossy [PERIOD]
tense [AND] wrong [IMPLY] clumsy [PERIOD]
grumpy [AND] comfortable [IMPLY] clumsy [PERIOD]
long [AND] sensible [AND] horrible [IMPLY] adorable [PERIOD]
wrong [AND] horrible [AND] grumpy [IMPLY] bossy [PERIOD]
foolish [AND] condemned [AND] clumsy [IMPLY] tense [PERIOD]
glamorous [AND] tense [IMPLY] ugliest [PERIOD]
foolish [AND] glamorous [AND] shy [IMPLY] busy [PERIOD]
ugliest [IMPLY] bored [PERIOD]
courageous [AND] shy [IMPLY] sensible [PERIOD]
jittery [AND] wrong [IMPLY] ugliest [PERIOD]
sensible [AND] intellectual [AND] old-fashioned [IMPLY] clumsy [PERIOD]
bossy [AND] helpful [AND] hypocritical [IMPLY] wrong [PERIOD]
foolish [AND] horrible [IMPLY] old-fashioned [PERIOD]
grumpy [AND] busy [AND] tense [IMPLY] old-fashioned [PERIOD]
courageous [IMPLY] tense [PERIOD]
ugliest [AND] grumpy [AND] courageous [IMPLY] adorable [PERIOD]
busy [IMPLY] glamorous [PERIOD]
intellectual [IMPLY] condemned [PERIOD]
tense [IMPLY] bossy [PERIOD]
ugliest [AND] foolish [IMPLY] horrible [PERIOD]
bored [AND] sensible [AND] intellectual [IMPLY] tense [PERIOD]
ugly [AND] comfortable [AND] naughty [IMPLY] weary [PERIOD]
long [AND] old-fashioned [AND] courageous [IMPLY] bored [PERIOD]
sensible [AND] hypocritical [IMPLY] clumsy [PERIOD]
courageous [AND] clumsy [IMPLY] ugly [PERIOD]
ugliest [IMPLY] tense [PERIOD]
old-fashioned [AND] intellectual [IMPLY] bored [PERIOD]
wrong [AND] foolish [IMPLY] intellectual [PERIOD]
comfortable [IMPLY] condemned [PERIOD]
naughty [AND] grumpy [AND] long [IMPLY] clumsy [PERIOD]
helpful [AND] grumpy [AND] hypocritical [IMPLY] adorable [PERIOD]
long [IMPLY] shy [PERIOD]
ugliest [AND] grumpy [IMPLY] old-fashioned [PERIOD]
adorable [AND] ugly [IMPLY] tense [PERIOD]
wrong [AND] sensible [AND] hypocritical [IMPLY] shy [PERIOD]
courageous [AND] glamorous [AND] naughty [IMPLY] tense [PERIOD]
tense [AND] ugly [AND] naughty [IMPLY] comfortable [PERIOD]
old-fashioned [AND] glamorous [AND] clumsy [IMPLY] long [PERIOD]
busy [AND] long [IMPLY] sensible [PERIOD]
wrong [AND] old-fashioned [IMPLY] intellectual [PERIOD]
grumpy [AND] weary [AND] jittery [IMPLY] adorable [PERIOD]
comfortable [AND] clumsy [IMPLY] tense [PERIOD]
condemned [AND] naughty [IMPLY] tense [PERIOD]
naughty [AND] adorable [AND] courageous [IMPLY] bored [PERIOD]
intellectual [IMPLY] jittery [PERIOD]
ugly [IMPLY] old-fashioned [PERIOD]
long [AND] comfortable [AND] helpful [IMPLY] busy [PERIOD]
condemned [AND] courageous [IMPLY] grumpy [PERIOD]
foolish [AND] jittery [AND] shy [IMPLY] helpful [PERIOD]
grumpy [IMPLY] hypocritical [PERIOD]
foolish [AND] weary [AND] grumpy [IMPLY] bored [PERIOD]
shy [IMPLY] hypocritical [PERIOD]
bored [AND] foolish [IMPLY] naughty [PERIOD]
grumpy [AND] naughty [IMPLY] clumsy [PERIOD]
shy [AND] bossy [IMPLY] bored [PERIOD]
jittery [AND] foolish [IMPLY] shy [PERIOD]
tense [AND] sensible [AND] long [IMPLY] ugly [PERIOD]
wrong [AND] horrible [AND] jittery [IMPLY] busy [PERIOD]
foolish [AND] wrong [AND] shy [IMPLY] intellectual [PERIOD]
tense [AND] condemned [AND] shy [IMPLY] busy [PERIOD]
long [IMPLY] ugly [PERIOD]
long [AND] sensible [AND] hypocritical [IMPLY] adorable [PERIOD]
ugly [AND] glamorous [AND] ugliest [IMPLY] tense [PERIOD]
tense [IMPLY] jittery [PERIOD]
old-fashioned [AND] ugliest [IMPLY] jittery [PERIOD]
jittery [AND] bored [IMPLY] hypocritical [PERIOD]
bored [AND] condemned [IMPLY] ugliest [PERIOD]
horrible [AND] ugly [AND] bored [IMPLY] jittery [PERIOD]
grumpy [IMPLY] helpful [PERIOD]
Query: Alice is clumsy [PERIOD]","Proof chain:
   Cannot apply rule “tense ∧ wrong ⇒ clumsy” because missing: tense, wrong.
   Cannot apply rule “grumpy ∧ comfortable ⇒ clumsy” because missing: grumpy, comfortable.
   Cannot apply rule “sensible ∧ intellectual ∧ old-fashioned ⇒ clumsy” because missing: sensible, intellectual, old-fashioned.
   Cannot apply rule “sensible ∧ hypocritical ⇒ clumsy” because missing: sensible, hypocritical.
   Cannot apply rule “naughty ∧ grumpy ∧ long ⇒ clumsy” because missing: naughty, grumpy, long.
   Cannot apply rule “grumpy ∧ naughty ⇒ clumsy” because missing: grumpy, naughty.
",0,6
"Facts:  Alice is troubled [PERIOD] Alice is mysterious [PERIOD] Alice is helpless [PERIOD] Alice is weary [PERIOD] Alice is shiny [PERIOD] Alice is witty [PERIOD] Alice is broad-minded [PERIOD] Alice is elated [PERIOD] Alice is stupid [PERIOD] Alice is proud [PERIOD] Alice is elegant [PERIOD]
Rules:
helpless [AND] homely [IMPLY] sincere [PERIOD]
sincere [AND] troubled [AND] bored [IMPLY] impatient [PERIOD]
bored [AND] wandering [AND] uptight [IMPLY] troubled [PERIOD]
ugly [IMPLY] impatient [PERIOD]
elegant [AND] wandering [IMPLY] impatient [PERIOD]
impatient [IMPLY] stupid [PERIOD]
witty [IMPLY] sincere [PERIOD]
shiny [AND] lucky [IMPLY] uptight [PERIOD]
hypocritical [IMPLY] bored [PERIOD]
confused [AND] helpless [IMPLY] broad-minded [PERIOD]
sincere [AND] wandering [IMPLY] elated [PERIOD]
proud [AND] lucky [IMPLY] broad-minded [PERIOD]
modern [AND] homely [IMPLY] witty [PERIOD]
uptight [IMPLY] sincere [PERIOD]
modern [AND] lucky [IMPLY] hypocritical [PERIOD]
impatient [AND] elated [IMPLY] stupid [PERIOD]
mysterious [AND] nervous [AND] average [IMPLY] lucky [PERIOD]
confused [AND] witty [IMPLY] modern [PERIOD]
blushing [IMPLY] average [PERIOD]
lucky [AND] confused [IMPLY] average [PERIOD]
ugly [AND] troubled [IMPLY] proud [PERIOD]
blushing [IMPLY] troubled [PERIOD]
nervous [AND] elated [IMPLY] hypocritical [PERIOD]
ugly [IMPLY] uptight [PERIOD]
elated [IMPLY] ugly [PERIOD]
ugly [IMPLY] silly [PERIOD]
impatient [IMPLY] elegant [PERIOD]
bored [IMPLY] sincere [PERIOD]
bored [AND] confused [IMPLY] broad-minded [PERIOD]
stupid [AND] sincere [AND] weary [IMPLY] uptight [PERIOD]
silly [IMPLY] homely [PERIOD]
uptight [IMPLY] homely [PERIOD]
nervous [AND] helpless [AND] hypocritical [IMPLY] elated [PERIOD]
stupid [AND] blushing [IMPLY] weary [PERIOD]
homely [IMPLY] wandering [PERIOD]
helpless [IMPLY] modern [PERIOD]
shiny [IMPLY] hypocritical [PERIOD]
serious [IMPLY] mysterious [PERIOD]
ugly [IMPLY] bored [PERIOD]
confused [AND] bored [IMPLY] sincere [PERIOD]
blushing [AND] mysterious [IMPLY] weary [PERIOD]
ugly [AND] confused [AND] bored [IMPLY] uptight [PERIOD]
witty [AND] elegant [IMPLY] average [PERIOD]
hypocritical [AND] silly [IMPLY] modern [PERIOD]
weary [IMPLY] wandering [PERIOD]
bored [AND] tame [IMPLY] average [PERIOD]
silly [IMPLY] helpless [PERIOD]
helpless [AND] stupid [AND] bored [IMPLY] mysterious [PERIOD]
proud [AND] blushing [IMPLY] average [PERIOD]
wandering [AND] silly [IMPLY] elegant [PERIOD]
modern [IMPLY] ugly [PERIOD]
lucky [IMPLY] nervous [PERIOD]
stupid [AND] uptight [IMPLY] hypocritical [PERIOD]
average [AND] elegant [AND] sincere [IMPLY] homely [PERIOD]
troubled [AND] lucky [IMPLY] average [PERIOD]
impatient [AND] nervous [AND] bored [IMPLY] elated [PERIOD]
nervous [IMPLY] serious [PERIOD]
broad-minded [AND] weary [IMPLY] lucky [PERIOD]
troubled [IMPLY] witty [PERIOD]
witty [AND] tame [IMPLY] shiny [PERIOD]
weary [AND] homely [AND] average [IMPLY] serious [PERIOD]
sincere [AND] tame [IMPLY] impatient [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   witty ∧ elegant ⇒ average
   witty ⇒ sincere
   average ∧ elegant ∧ sincere ⇒ homely
   witty ∧ elegant ⇒ average
   weary ∧ homely ∧ average ⇒ serious
",1,5
"Facts:  Alice is fine [PERIOD] Alice is ugliest [PERIOD] Alice is attentive [PERIOD] Alice is easy [PERIOD] Alice is elegant [PERIOD] Alice is gleaming [PERIOD] Alice is wrong [PERIOD] Alice is stormy [PERIOD] Alice is silly [PERIOD] Alice is friendly [PERIOD] Alice is combative [PERIOD] Alice is clumsy [PERIOD] Alice is careless [PERIOD] Alice is embarrassed [PERIOD] Alice is light [PERIOD] Alice is excited [PERIOD] Alice is amused [PERIOD] Alice is troubled [PERIOD] Alice is stubborn [PERIOD] Alice is different [PERIOD] Alice is fearless [PERIOD] Alice is exuberant [PERIOD] Alice is broad-minded [PERIOD] Alice is tame [PERIOD] Alice is weary [PERIOD] Alice is nervous [PERIOD] Alice is bored [PERIOD] Alice is sincere [PERIOD] Alice is tidy [PERIOD]
Rules:
troubled [AND] combative [IMPLY] broad-minded [PERIOD]
stubborn [IMPLY] bored [PERIOD]
clumsy [AND] nervous [IMPLY] wrong [PERIOD]
clumsy [IMPLY] troubled [PERIOD]
exuberant [AND] clumsy [AND] careless [IMPLY] embarrassed [PERIOD]
stubborn [IMPLY] tame [PERIOD]
weary [AND] excited [AND] wrong [IMPLY] nervous [PERIOD]
ugliest [AND] sincere [IMPLY] friendly [PERIOD]
attentive [AND] wrong [AND] easy [IMPLY] embarrassed [PERIOD]
elegant [IMPLY] troubled [PERIOD]
stormy [AND] exuberant [IMPLY] wrong [PERIOD]
stubborn [AND] elegant [IMPLY] excited [PERIOD]
ugliest [AND] nervous [AND] careless [IMPLY] light [PERIOD]
careless [IMPLY] tidy [PERIOD]
tidy [IMPLY] excited [PERIOD]
troubled [IMPLY] combative [PERIOD]
wrong [AND] tidy [AND] excited [IMPLY] elegant [PERIOD]
clumsy [AND] sincere [AND] easy [IMPLY] wrong [PERIOD]
stormy [IMPLY] fearless [PERIOD]
sincere [IMPLY] weary [PERIOD]
light [IMPLY] fine [PERIOD]
nervous [AND] tame [AND] light [IMPLY] stubborn [PERIOD]
sincere [AND] attentive [IMPLY] fearless [PERIOD]
attentive [AND] stubborn [IMPLY] nervous [PERIOD]
careless [IMPLY] troubled [PERIOD]
careless [AND] different [IMPLY] easy [PERIOD]
exuberant [IMPLY] gleaming [PERIOD]
easy [AND] stubborn [IMPLY] troubled [PERIOD]
exuberant [IMPLY] clumsy [PERIOD]
friendly [AND] fine [AND] silly [IMPLY] easy [PERIOD]
elegant [IMPLY] nervous [PERIOD]
light [IMPLY] excited [PERIOD]
tame [AND] weary [IMPLY] troubled [PERIOD]
fearless [AND] bored [AND] light [IMPLY] elegant [PERIOD]
silly [IMPLY] friendly [PERIOD]
tidy [IMPLY] weary [PERIOD]
tidy [IMPLY] bored [PERIOD]
broad-minded [AND] tidy [IMPLY] stormy [PERIOD]
careless [AND] tidy [AND] troubled [IMPLY] ugliest [PERIOD]
troubled [IMPLY] stubborn [PERIOD]
tame [AND] nervous [IMPLY] sincere [PERIOD]
stormy [IMPLY] clumsy [PERIOD]
nervous [IMPLY] embarrassed [PERIOD]
bored [AND] stubborn [AND] silly [IMPLY] fearless [PERIOD]
tidy [IMPLY] attentive [PERIOD]
silly [AND] exuberant [IMPLY] stormy [PERIOD]
embarrassed [AND] weary [IMPLY] stormy [PERIOD]
stubborn [AND] nervous [IMPLY] careless [PERIOD]
elegant [AND] friendly [AND] fearless [IMPLY] different [PERIOD]
fearless [AND] exuberant [IMPLY] different [PERIOD]
broad-minded [AND] ugliest [IMPLY] exuberant [PERIOD]
different [AND] clumsy [IMPLY] broad-minded [PERIOD]
sincere [AND] fine [IMPLY] different [PERIOD]
tame [AND] bored [AND] careless [IMPLY] exuberant [PERIOD]
clumsy [AND] tidy [AND] different [IMPLY] combative [PERIOD]
careless [IMPLY] bored [PERIOD]
careless [IMPLY] combative [PERIOD]
broad-minded [IMPLY] clumsy [PERIOD]
different [AND] tidy [AND] weary [IMPLY] wrong [PERIOD]
clumsy [IMPLY] embarrassed [PERIOD]
stubborn [AND] elegant [AND] sincere [IMPLY] stormy [PERIOD]
easy [AND] light [IMPLY] tidy [PERIOD]
weary [IMPLY] embarrassed [PERIOD]
embarrassed [AND] sincere [AND] elegant [IMPLY] light [PERIOD]
elegant [AND] attentive [AND] wrong [IMPLY] friendly [PERIOD]
clumsy [AND] bored [IMPLY] tame [PERIOD]
nervous [AND] sincere [IMPLY] amused [PERIOD]
silly [IMPLY] stubborn [PERIOD]
different [AND] friendly [AND] broad-minded [IMPLY] weary [PERIOD]
fearless [IMPLY] light [PERIOD]
gleaming [AND] fearless [IMPLY] combative [PERIOD]
gleaming [IMPLY] easy [PERIOD]
amused [AND] nervous [IMPLY] silly [PERIOD]
easy [AND] combative [IMPLY] weary [PERIOD]
fine [AND] fearless [AND] broad-minded [IMPLY] different [PERIOD]
friendly [AND] nervous [AND] broad-minded [IMPLY] wrong [PERIOD]
wrong [AND] careless [IMPLY] sincere [PERIOD]
broad-minded [AND] wrong [IMPLY] exuberant [PERIOD]
fine [AND] troubled [IMPLY] sincere [PERIOD]
elegant [AND] gleaming [AND] attentive [IMPLY] ugliest [PERIOD]
tame [AND] excited [AND] fearless [IMPLY] exuberant [PERIOD]
amused [AND] clumsy [AND] fearless [IMPLY] gleaming [PERIOD]
friendly [IMPLY] weary [PERIOD]
bored [AND] stubborn [IMPLY] fine [PERIOD]
fearless [AND] silly [AND] tame [IMPLY] bored [PERIOD]
exuberant [AND] easy [IMPLY] tame [PERIOD]
tidy [IMPLY] gleaming [PERIOD]
sincere [IMPLY] tidy [PERIOD]
bored [AND] tidy [AND] excited [IMPLY] different [PERIOD]
tidy [AND] fearless [AND] wrong [IMPLY] weary [PERIOD]
light [AND] nervous [IMPLY] stubborn [PERIOD]
embarrassed [AND] troubled [IMPLY] gleaming [PERIOD]
light [AND] stormy [AND] different [IMPLY] sincere [PERIOD]
weary [AND] clumsy [IMPLY] stormy [PERIOD]
clumsy [AND] wrong [IMPLY] troubled [PERIOD]
silly [AND] exuberant [IMPLY] clumsy [PERIOD]
combative [IMPLY] fearless [PERIOD]
tidy [AND] bored [AND] ugliest [IMPLY] careless [PERIOD]
nervous [IMPLY] light [PERIOD]
attentive [AND] easy [AND] sincere [IMPLY] gleaming [PERIOD]
amused [IMPLY] elegant [PERIOD]
amused [AND] attentive [IMPLY] stubborn [PERIOD]
ugliest [AND] exuberant [AND] tidy [IMPLY] sincere [PERIOD]
friendly [IMPLY] attentive [PERIOD]
nervous [AND] wrong [IMPLY] fine [PERIOD]
fearless [AND] ugliest [AND] amused [IMPLY] exuberant [PERIOD]
stormy [IMPLY] embarrassed [PERIOD]
fine [AND] bored [AND] excited [IMPLY] attentive [PERIOD]
combative [AND] gleaming [IMPLY] broad-minded [PERIOD]
embarrassed [AND] sincere [AND] stubborn [IMPLY] broad-minded [PERIOD]
combative [IMPLY] wrong [PERIOD]
bored [IMPLY] elegant [PERIOD]
excited [IMPLY] embarrassed [PERIOD]
combative [AND] different [IMPLY] friendly [PERIOD]
careless [AND] nervous [AND] tame [IMPLY] clumsy [PERIOD]
Query: Alice is gleaming [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is anxious [PERIOD] Alice is talented [PERIOD] Alice is naughty [PERIOD] Alice is bright [PERIOD] Alice is agreeable [PERIOD] Alice is muddy [PERIOD] Alice is pessimistic [PERIOD] Alice is sleepy [PERIOD] Alice is gorgeous [PERIOD] Alice is frail [PERIOD] Alice is outrageous [PERIOD] Alice is blushing [PERIOD] Alice is supportive [PERIOD] Alice is polite [PERIOD] Alice is helpful [PERIOD] Alice is loving [PERIOD] Alice is vivacious [PERIOD] Alice is tame [PERIOD] Alice is dull [PERIOD] Alice is intellectual [PERIOD] Alice is shiny [PERIOD] Alice is inexpensive [PERIOD] Alice is frightened [PERIOD] Alice is cute [PERIOD] Alice is foolish [PERIOD] Alice is troubled [PERIOD] Alice is wandering [PERIOD] Alice is modern [PERIOD]
Rules:
modern [AND] supportive [IMPLY] naughty [PERIOD]
foolish [AND] loving [IMPLY] shiny [PERIOD]
polite [IMPLY] gorgeous [PERIOD]
blushing [IMPLY] cute [PERIOD]
talented [IMPLY] foolish [PERIOD]
cute [AND] bright [AND] smart [IMPLY] modern [PERIOD]
helpful [IMPLY] bright [PERIOD]
frightened [AND] foolish [IMPLY] wandering [PERIOD]
gorgeous [AND] wandering [IMPLY] naughty [PERIOD]
intellectual [IMPLY] gorgeous [PERIOD]
wandering [AND] dull [AND] outrageous [IMPLY] inexpensive [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is different [PERIOD] Alice is joyous [PERIOD] Alice is gifted [PERIOD]
Rules:
uptight [AND] innocent [AND] attentive [IMPLY] supportive [PERIOD]
attentive [IMPLY] ugly [PERIOD]
grumpy [IMPLY] supportive [PERIOD]
friendly [IMPLY] worrisome [PERIOD]
ugly [AND] joyous [AND] supportive [IMPLY] disobedient [PERIOD]
enchanting [AND] friendly [AND] supportive [IMPLY] disobedient [PERIOD]
innocent [AND] agreeable [AND] ugliest [IMPLY] attractive [PERIOD]
long [AND] blushing [AND] gifted [IMPLY] grumpy [PERIOD]
attentive [AND] uptight [IMPLY] enchanting [PERIOD]
disobedient [AND] ugly [AND] innocent [IMPLY] modern [PERIOD]
gifted [IMPLY] attractive [PERIOD]
different [AND] pleasant [AND] worrisome [IMPLY] enchanting [PERIOD]
joyous [IMPLY] blushing [PERIOD]
long [IMPLY] innocent [PERIOD]
bad-tempered [IMPLY] busy [PERIOD]
agreeable [AND] grumpy [AND] ugly [IMPLY] long [PERIOD]
worrisome [IMPLY] bad-tempered [PERIOD]
long [AND] ambitious [IMPLY] innocent [PERIOD]
modern [IMPLY] pleasant [PERIOD]
charming [AND] ambitious [IMPLY] long [PERIOD]
disobedient [AND] agreeable [AND] busy [IMPLY] worrisome [PERIOD]
disobedient [AND] long [IMPLY] pleasant [PERIOD]
busy [AND] pleasant [AND] enchanting [IMPLY] bad-tempered [PERIOD]
disobedient [AND] supportive [AND] blushing [IMPLY] gifted [PERIOD]
worrisome [AND] grumpy [AND] supportive [IMPLY] attractive [PERIOD]
blushing [AND] agreeable [AND] different [IMPLY] ugly [PERIOD]
ambitious [IMPLY] attractive [PERIOD]
bad-tempered [IMPLY] modern [PERIOD]
supportive [IMPLY] charming [PERIOD]
scared [IMPLY] attentive [PERIOD]
disobedient [AND] different [AND] friendly [IMPLY] pleasant [PERIOD]
agreeable [AND] enchanting [AND] innocent [IMPLY] scared [PERIOD]
ambitious [AND] agreeable [AND] busy [IMPLY] attractive [PERIOD]
worrisome [AND] blushing [AND] attractive [IMPLY] ambitious [PERIOD]
different [AND] bad-tempered [AND] blushing [IMPLY] scared [PERIOD]
pleasant [AND] charming [AND] ugliest [IMPLY] innocent [PERIOD]
ugliest [IMPLY] bad-tempered [PERIOD]
charming [AND] busy [AND] scared [IMPLY] ugly [PERIOD]
worrisome [AND] blushing [AND] attentive [IMPLY] long [PERIOD]
uptight [IMPLY] pleasant [PERIOD]
disobedient [AND] agreeable [AND] enchanting [IMPLY] attentive [PERIOD]
modern [IMPLY] attractive [PERIOD]
enchanting [IMPLY] friendly [PERIOD]
modern [AND] disobedient [IMPLY] worrisome [PERIOD]
bad-tempered [AND] gifted [AND] disobedient [IMPLY] ugly [PERIOD]
pleasant [AND] supportive [IMPLY] joyous [PERIOD]
uptight [IMPLY] charming [PERIOD]
grumpy [AND] charming [AND] blushing [IMPLY] innocent [PERIOD]
uptight [AND] agreeable [AND] innocent [IMPLY] ugly [PERIOD]
scared [AND] ugly [IMPLY] disobedient [PERIOD]
disobedient [AND] attentive [IMPLY] gifted [PERIOD]
uptight [AND] pleasant [AND] attentive [IMPLY] grumpy [PERIOD]
different [AND] ambitious [AND] gifted [IMPLY] grumpy [PERIOD]
attentive [AND] joyous [AND] charming [IMPLY] uptight [PERIOD]
worrisome [AND] agreeable [AND] joyous [IMPLY] busy [PERIOD]
gifted [IMPLY] bad-tempered [PERIOD]
ugly [AND] busy [AND] worrisome [IMPLY] bad-tempered [PERIOD]
agreeable [AND] worrisome [AND] innocent [IMPLY] enchanting [PERIOD]
attentive [IMPLY] agreeable [PERIOD]
scared [IMPLY] supportive [PERIOD]
ugly [AND] busy [AND] bad-tempered [IMPLY] friendly [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   gifted ⇒ bad-tempered
   joyous ⇒ blushing
   different ∧ bad-tempered ∧ blushing ⇒ scared
   scared ⇒ attentive
   attentive ⇒ agreeable
",1,5
"Facts:  Alice is amused [PERIOD] Alice is adorable [PERIOD] Alice is proud [PERIOD] Alice is bright [PERIOD] Alice is glamorous [PERIOD] Alice is versatile [PERIOD] Alice is selfish [PERIOD]
Rules:
hurt [IMPLY] nervous [PERIOD]
amused [IMPLY] nervous [PERIOD]
selfish [AND] glamorous [IMPLY] nervous [PERIOD]
old-fashioned [AND] bright [IMPLY] selfish [PERIOD]
hurt [IMPLY] amused [PERIOD]
adorable [IMPLY] versatile [PERIOD]
nervous [AND] selfish [AND] glamorous [IMPLY] versatile [PERIOD]
selfish [AND] proud [AND] bright [IMPLY] hurt [PERIOD]
hurt [AND] adorable [IMPLY] old-fashioned [PERIOD]
proud [AND] amused [AND] selfish [IMPLY] glamorous [PERIOD]
adorable [AND] bright [IMPLY] amused [PERIOD]
bright [IMPLY] hurt [PERIOD]
hurt [AND] proud [AND] adorable [IMPLY] amused [PERIOD]
proud [AND] selfish [IMPLY] adorable [PERIOD]
nervous [AND] bright [IMPLY] proud [PERIOD]
nervous [IMPLY] hurt [PERIOD]
glamorous [AND] versatile [IMPLY] proud [PERIOD]
proud [AND] hurt [IMPLY] bright [PERIOD]
glamorous [AND] selfish [IMPLY] versatile [PERIOD]
bright [AND] glamorous [IMPLY] hurt [PERIOD]
amused [AND] nervous [AND] old-fashioned [IMPLY] glamorous [PERIOD]
bright [AND] proud [IMPLY] selfish [PERIOD]
hurt [AND] versatile [AND] proud [IMPLY] bright [PERIOD]
nervous [IMPLY] amused [PERIOD]
adorable [AND] selfish [AND] nervous [IMPLY] old-fashioned [PERIOD]
proud [AND] amused [IMPLY] selfish [PERIOD]
glamorous [AND] nervous [IMPLY] versatile [PERIOD]
bright [AND] proud [AND] versatile [IMPLY] adorable [PERIOD]
versatile [AND] amused [IMPLY] hurt [PERIOD]
adorable [AND] versatile [AND] nervous [IMPLY] hurt [PERIOD]
old-fashioned [IMPLY] glamorous [PERIOD]
nervous [AND] glamorous [AND] selfish [IMPLY] amused [PERIOD]
amused [IMPLY] hurt [PERIOD]
bright [AND] adorable [AND] hurt [IMPLY] glamorous [PERIOD]
old-fashioned [AND] glamorous [AND] proud [IMPLY] selfish [PERIOD]
amused [IMPLY] bright [PERIOD]
glamorous [IMPLY] adorable [PERIOD]
glamorous [AND] amused [AND] selfish [IMPLY] versatile [PERIOD]
adorable [AND] proud [IMPLY] nervous [PERIOD]
amused [AND] old-fashioned [IMPLY] hurt [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   amused ⇒ hurt
   hurt ∧ adorable ⇒ old-fashioned
",1,2
"Facts:  Alice is ambitious [PERIOD] Alice is clean [PERIOD] Alice is rational [PERIOD] Alice is naughty [PERIOD] Alice is dull [PERIOD]
Rules:
dull [AND] elated [AND] rational [IMPLY] naughty [PERIOD]
naughty [IMPLY] ambitious [PERIOD]
naughty [IMPLY] rational [PERIOD]
ambitious [AND] rational [IMPLY] elated [PERIOD]
rational [IMPLY] ambitious [PERIOD]
naughty [AND] clean [AND] elated [IMPLY] ambitious [PERIOD]
elated [AND] rational [IMPLY] ambitious [PERIOD]
dull [IMPLY] elated [PERIOD]
rational [AND] dull [IMPLY] naughty [PERIOD]
clean [AND] naughty [AND] elated [IMPLY] dull [PERIOD]
ambitious [AND] clean [AND] naughty [IMPLY] dull [PERIOD]
rational [AND] clean [AND] dull [IMPLY] ambitious [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   dull ⇒ elated
",1,1
"Facts:  Alice is glamorous [PERIOD]
Rules:
curious [AND] glamorous [IMPLY] exuberant [PERIOD]
curious [AND] homely [AND] inquisitive [IMPLY] disgusted [PERIOD]
inquisitive [IMPLY] helpful [PERIOD]
glamorous [AND] exuberant [IMPLY] helpful [PERIOD]
unpleasant [IMPLY] homely [PERIOD]
glamorous [AND] homely [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] helpful [PERIOD]
curious [AND] disgusted [AND] courageous [IMPLY] helpful [PERIOD]
helpful [IMPLY] unpleasant [PERIOD]
glamorous [AND] homely [IMPLY] inquisitive [PERIOD]
helpful [IMPLY] glamorous [PERIOD]
helpful [AND] unpleasant [IMPLY] exuberant [PERIOD]
courageous [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] curious [PERIOD]
courageous [AND] homely [IMPLY] curious [PERIOD]
inquisitive [AND] unpleasant [AND] exuberant [IMPLY] homely [PERIOD]
exuberant [AND] courageous [AND] inquisitive [IMPLY] glamorous [PERIOD]
glamorous [AND] courageous [AND] curious [IMPLY] helpful [PERIOD]
glamorous [AND] disgusted [AND] homely [IMPLY] unpleasant [PERIOD]
courageous [AND] helpful [AND] inquisitive [IMPLY] exuberant [PERIOD]
unpleasant [AND] curious [AND] helpful [IMPLY] exuberant [PERIOD]
curious [IMPLY] exuberant [PERIOD]
courageous [IMPLY] homely [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   glamorous ⇒ curious
   curious ∧ glamorous ⇒ exuberant
   glamorous ∧ exuberant ⇒ helpful
   helpful ⇒ unpleasant
   unpleasant ⇒ homely
   glamorous ∧ homely ⇒ inquisitive
",1,6
"Facts: 
Rules:
wrong [IMPLY] proud [PERIOD]
outrageous [IMPLY] proud [PERIOD]
outrageous [AND] uptight [IMPLY] wrong [PERIOD]
proud [IMPLY] thoughtless [PERIOD]
outrageous [AND] uptight [IMPLY] proud [PERIOD]
wrong [AND] thoughtless [AND] proud [IMPLY] outrageous [PERIOD]
outrageous [AND] thoughtless [AND] wrong [IMPLY] proud [PERIOD]
proud [AND] uptight [AND] wrong [IMPLY] outrageous [PERIOD]
uptight [AND] wrong [IMPLY] proud [PERIOD]
uptight [AND] proud [AND] wrong [IMPLY] thoughtless [PERIOD]
proud [AND] outrageous [AND] thoughtless [IMPLY] uptight [PERIOD]
thoughtless [IMPLY] wrong [PERIOD]
uptight [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] outrageous [PERIOD]
uptight [AND] proud [AND] outrageous [IMPLY] wrong [PERIOD]
uptight [IMPLY] wrong [PERIOD]
proud [AND] thoughtless [IMPLY] uptight [PERIOD]
Query: Alice is outrageous [PERIOD]","Proof chain:
   Cannot apply rule “wrong ∧ thoughtless ∧ proud ⇒ outrageous” because missing: wrong, thoughtless, proud.
   Cannot apply rule “proud ∧ uptight ∧ wrong ⇒ outrageous” because missing: proud, uptight, wrong.
   Cannot apply rule “thoughtless ⇒ outrageous” because missing: thoughtless.
",0,3
"Facts:  Alice is impartial [PERIOD] Alice is outstanding [PERIOD] Alice is friendly [PERIOD] Alice is sincere [PERIOD] Alice is stormy [PERIOD] Alice is inexpensive [PERIOD] Alice is unpleasant [PERIOD] Alice is smart [PERIOD] Alice is uptight [PERIOD] Alice is fine [PERIOD] Alice is aggressive [PERIOD] Alice is comfortable [PERIOD] Alice is gifted [PERIOD] Alice is difficult [PERIOD] Alice is enchanting [PERIOD]
Rules:
stormy [AND] unpleasant [AND] difficult [IMPLY] sincere [PERIOD]
sincere [IMPLY] aggressive [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is joyous [PERIOD] Alice is beautiful [PERIOD] Alice is gleaming [PERIOD] Alice is intellectual [PERIOD] Alice is tender [PERIOD] Alice is hilarious [PERIOD] Alice is zealous [PERIOD] Alice is rational [PERIOD] Alice is busy [PERIOD] Alice is bad-tempered [PERIOD] Alice is quaint [PERIOD] Alice is frightened [PERIOD] Alice is weary [PERIOD] Alice is stubborn [PERIOD]
Rules:
intellectual [IMPLY] stupid [PERIOD]
gleaming [AND] good [IMPLY] straightforward [PERIOD]
zealous [AND] stubborn [AND] wide-eyed [IMPLY] stupid [PERIOD]
zealous [AND] combative [AND] rational [IMPLY] beautiful [PERIOD]
beautiful [AND] rational [IMPLY] fine [PERIOD]
intellectual [IMPLY] elated [PERIOD]
joyous [AND] gleaming [IMPLY] stupid [PERIOD]
good [AND] wide-eyed [AND] rational [IMPLY] beautiful [PERIOD]
frightened [AND] beautiful [AND] muddy [IMPLY] quaint [PERIOD]
hilarious [AND] stubborn [IMPLY] elated [PERIOD]
straightforward [AND] weary [IMPLY] bright [PERIOD]
good [IMPLY] frightened [PERIOD]
elated [IMPLY] rational [PERIOD]
tame [AND] zealous [IMPLY] quaint [PERIOD]
elated [IMPLY] frightened [PERIOD]
fine [IMPLY] tame [PERIOD]
worried [IMPLY] frightened [PERIOD]
rational [AND] worried [AND] hilarious [IMPLY] bad-tempered [PERIOD]
hilarious [IMPLY] tender [PERIOD]
beautiful [AND] tame [AND] frightened [IMPLY] rational [PERIOD]
tame [AND] zealous [IMPLY] muddy [PERIOD]
intellectual [IMPLY] zealous [PERIOD]
fine [AND] straightforward [AND] weary [IMPLY] worried [PERIOD]
worried [AND] zealous [AND] quaint [IMPLY] straightforward [PERIOD]
joyous [AND] stubborn [AND] bright [IMPLY] weary [PERIOD]
stupid [AND] muddy [IMPLY] bad-tempered [PERIOD]
weary [AND] rational [IMPLY] straightforward [PERIOD]
wide-eyed [IMPLY] weary [PERIOD]
muddy [AND] zealous [IMPLY] wide-eyed [PERIOD]
muddy [IMPLY] wide-eyed [PERIOD]
muddy [AND] elated [IMPLY] tender [PERIOD]
elated [AND] wide-eyed [AND] weary [IMPLY] bad-tempered [PERIOD]
zealous [IMPLY] fine [PERIOD]
weary [IMPLY] stubborn [PERIOD]
muddy [AND] combative [AND] busy [IMPLY] bright [PERIOD]
straightforward [AND] rational [AND] fine [IMPLY] quaint [PERIOD]
muddy [AND] bad-tempered [IMPLY] elated [PERIOD]
rational [AND] wide-eyed [IMPLY] busy [PERIOD]
hilarious [AND] zealous [IMPLY] tender [PERIOD]
worried [AND] intellectual [IMPLY] gleaming [PERIOD]
tame [AND] weary [IMPLY] good [PERIOD]
elated [AND] combative [AND] gleaming [IMPLY] beautiful [PERIOD]
quaint [IMPLY] hilarious [PERIOD]
old-fashioned [IMPLY] tender [PERIOD]
intellectual [AND] zealous [AND] worried [IMPLY] fine [PERIOD]
fine [AND] hilarious [AND] stubborn [IMPLY] straightforward [PERIOD]
bad-tempered [IMPLY] gleaming [PERIOD]
elated [AND] bad-tempered [IMPLY] joyous [PERIOD]
straightforward [AND] wide-eyed [IMPLY] old-fashioned [PERIOD]
tender [AND] rational [AND] tame [IMPLY] muddy [PERIOD]
zealous [IMPLY] bad-tempered [PERIOD]
beautiful [AND] worried [IMPLY] elated [PERIOD]
tender [AND] bright [AND] zealous [IMPLY] good [PERIOD]
muddy [IMPLY] stupid [PERIOD]
beautiful [IMPLY] intellectual [PERIOD]
frightened [AND] rational [IMPLY] combative [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   beautiful ∧ rational ⇒ fine
   fine ⇒ tame
   tame ∧ zealous ⇒ muddy
",1,3
"Facts: 
Rules:
clumsy [IMPLY] tidy [PERIOD]
dull [AND] bad-tempered [AND] distinct [IMPLY] rude [PERIOD]
foolish [IMPLY] dull [PERIOD]
inexpensive [IMPLY] rude [PERIOD]
comfortable [IMPLY] sensible [PERIOD]
hypocritical [IMPLY] famous [PERIOD]
rude [AND] distinct [IMPLY] outrageous [PERIOD]
adorable [AND] rude [AND] famous [IMPLY] hypocritical [PERIOD]
fearless [IMPLY] rude [PERIOD]
distinct [AND] outrageous [IMPLY] hypocritical [PERIOD]
famous [AND] comfortable [AND] sensible [IMPLY] rude [PERIOD]
hypocritical [AND] famous [IMPLY] foolish [PERIOD]
tidy [AND] bad-tempered [AND] famous [IMPLY] sensible [PERIOD]
hypocritical [AND] unpleasant [AND] inexpensive [IMPLY] tidy [PERIOD]
adorable [AND] distinct [AND] inexpensive [IMPLY] fearless [PERIOD]
sensible [AND] unpleasant [IMPLY] dull [PERIOD]
tidy [AND] unpleasant [AND] dull [IMPLY] bad-tempered [PERIOD]
inexpensive [AND] hypocritical [AND] adorable [IMPLY] dull [PERIOD]
outrageous [AND] tidy [IMPLY] clumsy [PERIOD]
inexpensive [AND] bad-tempered [AND] sensible [IMPLY] outrageous [PERIOD]
distinct [IMPLY] foolish [PERIOD]
inexpensive [AND] fearless [IMPLY] dull [PERIOD]
foolish [IMPLY] distinct [PERIOD]
adorable [AND] unpleasant [AND] outrageous [IMPLY] famous [PERIOD]
hypocritical [IMPLY] comfortable [PERIOD]
clumsy [AND] outrageous [AND] fearless [IMPLY] famous [PERIOD]
rude [AND] dull [IMPLY] sensible [PERIOD]
clumsy [IMPLY] hypocritical [PERIOD]
sensible [AND] bad-tempered [IMPLY] comfortable [PERIOD]
fearless [IMPLY] foolish [PERIOD]
dull [AND] unpleasant [IMPLY] hypocritical [PERIOD]
sensible [AND] unpleasant [IMPLY] adorable [PERIOD]
comfortable [IMPLY] adorable [PERIOD]
tidy [AND] rude [IMPLY] hypocritical [PERIOD]
tidy [AND] bad-tempered [IMPLY] outrageous [PERIOD]
foolish [AND] adorable [AND] bad-tempered [IMPLY] dull [PERIOD]
foolish [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] foolish [AND] rude [IMPLY] famous [PERIOD]
distinct [AND] rude [AND] inexpensive [IMPLY] tidy [PERIOD]
dull [AND] foolish [AND] sensible [IMPLY] adorable [PERIOD]
unpleasant [AND] sensible [AND] clumsy [IMPLY] bad-tempered [PERIOD]
sensible [IMPLY] dull [PERIOD]
inexpensive [AND] dull [AND] foolish [IMPLY] adorable [PERIOD]
tidy [IMPLY] sensible [PERIOD]
bad-tempered [AND] fearless [AND] adorable [IMPLY] tidy [PERIOD]
comfortable [AND] bad-tempered [IMPLY] outrageous [PERIOD]
inexpensive [AND] adorable [AND] fearless [IMPLY] dull [PERIOD]
clumsy [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] dull [IMPLY] outrageous [PERIOD]
dull [AND] bad-tempered [AND] comfortable [IMPLY] rude [PERIOD]
unpleasant [IMPLY] hypocritical [PERIOD]
adorable [AND] rude [IMPLY] outrageous [PERIOD]
tidy [AND] foolish [AND] comfortable [IMPLY] distinct [PERIOD]
distinct [AND] comfortable [IMPLY] fearless [PERIOD]
hypocritical [AND] adorable [IMPLY] foolish [PERIOD]
outrageous [AND] hypocritical [IMPLY] fearless [PERIOD]
Query: Alice is dull [PERIOD]","Proof chain:
   Cannot apply rule “foolish ⇒ dull” because missing: foolish.
   Cannot apply rule “sensible ∧ unpleasant ⇒ dull” because missing: sensible, unpleasant.
   Cannot apply rule “inexpensive ∧ hypocritical ∧ adorable ⇒ dull” because missing: inexpensive, hypocritical, adorable.
   Cannot apply rule “inexpensive ∧ fearless ⇒ dull” because missing: inexpensive, fearless.
   Cannot apply rule “foolish ∧ adorable ∧ bad-tempered ⇒ dull” because missing: foolish, adorable, bad-tempered.
   Cannot apply rule “sensible ⇒ dull” because missing: sensible.
   Cannot apply rule “inexpensive ∧ adorable ∧ fearless ⇒ dull” because missing: inexpensive, adorable, fearless.
",0,7
"Facts:  Alice is popular [PERIOD] Alice is strange [PERIOD] Alice is zealous [PERIOD] Alice is fine [PERIOD] Alice is enchanting [PERIOD] Alice is bad-tempered [PERIOD] Alice is helpless [PERIOD] Alice is amused [PERIOD] Alice is careless [PERIOD] Alice is combative [PERIOD] Alice is tame [PERIOD]
Rules:
strange [AND] excited [AND] helpless [IMPLY] fearless [PERIOD]
fearless [IMPLY] thoughtful [PERIOD]
hilarious [AND] combative [IMPLY] stormy [PERIOD]
careless [AND] stormy [IMPLY] homely [PERIOD]
fine [AND] bad-tempered [AND] aggressive [IMPLY] spotless [PERIOD]
pleasant [AND] inexpensive [IMPLY] thoughtful [PERIOD]
strange [AND] combative [AND] fearless [IMPLY] tame [PERIOD]
strange [IMPLY] popular [PERIOD]
excited [AND] amused [IMPLY] cooperative [PERIOD]
strange [IMPLY] zealous [PERIOD]
broad-minded [IMPLY] sincere [PERIOD]
joyous [AND] homely [IMPLY] tame [PERIOD]
difficult [IMPLY] helpless [PERIOD]
bad-tempered [AND] diplomatic [AND] sincere [IMPLY] fearless [PERIOD]
popular [AND] spotless [IMPLY] diplomatic [PERIOD]
excited [AND] combative [AND] cooperative [IMPLY] inexpensive [PERIOD]
sincere [AND] careless [AND] tame [IMPLY] hilarious [PERIOD]
excited [AND] stormy [AND] aggressive [IMPLY] inexpensive [PERIOD]
aggressive [AND] ugliest [IMPLY] zealous [PERIOD]
excited [AND] tame [AND] popular [IMPLY] bad-tempered [PERIOD]
spotless [IMPLY] popular [PERIOD]
broad-minded [IMPLY] tame [PERIOD]
careless [AND] lonely [IMPLY] spotless [PERIOD]
pleasant [IMPLY] popular [PERIOD]
ugliest [AND] combative [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] fine [PERIOD]
strange [IMPLY] joyous [PERIOD]
stormy [AND] fearless [AND] zealous [IMPLY] strange [PERIOD]
joyous [AND] bad-tempered [AND] aggressive [IMPLY] popular [PERIOD]
excited [AND] enchanting [IMPLY] strange [PERIOD]
fearless [IMPLY] fine [PERIOD]
popular [IMPLY] sincere [PERIOD]
joyous [IMPLY] sincere [PERIOD]
fine [IMPLY] inexpensive [PERIOD]
hilarious [AND] helpless [IMPLY] homely [PERIOD]
strange [IMPLY] inexpensive [PERIOD]
inexpensive [AND] strange [IMPLY] spotless [PERIOD]
combative [IMPLY] careless [PERIOD]
pleasant [IMPLY] lonely [PERIOD]
enchanting [AND] popular [AND] inexpensive [IMPLY] lonely [PERIOD]
excited [IMPLY] lonely [PERIOD]
homely [IMPLY] sincere [PERIOD]
innocent [AND] diplomatic [AND] bad-tempered [IMPLY] tame [PERIOD]
enchanting [IMPLY] thoughtful [PERIOD]
stormy [AND] broad-minded [AND] helpless [IMPLY] fine [PERIOD]
broad-minded [IMPLY] lonely [PERIOD]
cooperative [AND] thoughtful [AND] pleasant [IMPLY] helpless [PERIOD]
strange [AND] stormy [IMPLY] hilarious [PERIOD]
excited [AND] fearless [IMPLY] amused [PERIOD]
spotless [IMPLY] sincere [PERIOD]
diplomatic [AND] zealous [IMPLY] excited [PERIOD]
careless [AND] fine [AND] thoughtful [IMPLY] fearless [PERIOD]
difficult [IMPLY] zealous [PERIOD]
pleasant [AND] helpless [AND] innocent [IMPLY] sincere [PERIOD]
bad-tempered [AND] combative [AND] helpless [IMPLY] difficult [PERIOD]
diplomatic [IMPLY] combative [PERIOD]
combative [IMPLY] broad-minded [PERIOD]
spotless [AND] inexpensive [AND] sincere [IMPLY] strange [PERIOD]
joyous [IMPLY] careless [PERIOD]
difficult [AND] excited [IMPLY] cooperative [PERIOD]
stormy [IMPLY] difficult [PERIOD]
enchanting [IMPLY] combative [PERIOD]
broad-minded [IMPLY] inexpensive [PERIOD]
zealous [AND] thoughtful [IMPLY] amused [PERIOD]
diplomatic [IMPLY] thoughtful [PERIOD]
fearless [AND] innocent [AND] broad-minded [IMPLY] zealous [PERIOD]
hilarious [AND] spotless [IMPLY] combative [PERIOD]
careless [IMPLY] strange [PERIOD]
broad-minded [AND] careless [IMPLY] aggressive [PERIOD]
combative [IMPLY] lonely [PERIOD]
thoughtful [AND] enchanting [AND] inexpensive [IMPLY] fine [PERIOD]
bad-tempered [IMPLY] tame [PERIOD]
difficult [AND] lonely [IMPLY] joyous [PERIOD]
ugliest [AND] inexpensive [AND] amused [IMPLY] enchanting [PERIOD]
excited [IMPLY] pleasant [PERIOD]
zealous [AND] stormy [AND] careless [IMPLY] broad-minded [PERIOD]
helpless [AND] innocent [AND] lonely [IMPLY] cooperative [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
adorable [IMPLY] good [PERIOD]
combative [IMPLY] adorable [PERIOD]
combative [AND] muddy [IMPLY] good [PERIOD]
adorable [AND] cruel [AND] muddy [IMPLY] good [PERIOD]
adorable [IMPLY] gorgeous [PERIOD]
gorgeous [AND] muddy [AND] adorable [IMPLY] good [PERIOD]
adorable [IMPLY] muddy [PERIOD]
combative [IMPLY] gorgeous [PERIOD]
combative [AND] gorgeous [AND] muddy [IMPLY] cruel [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   Cannot apply rule “adorable ⇒ gorgeous” because missing: adorable.
   Cannot apply rule “combative ⇒ gorgeous” because missing: combative.
",0,2
"Facts: 
Rules:
gifted [IMPLY] tidy [PERIOD]
scared [AND] blushing [AND] rational [IMPLY] busy [PERIOD]
plain [IMPLY] blushing [PERIOD]
gifted [AND] versatile [IMPLY] rational [PERIOD]
light [AND] bad-tempered [AND] famous [IMPLY] worried [PERIOD]
joyous [AND] tidy [IMPLY] rational [PERIOD]
shiny [AND] versatile [AND] busy [IMPLY] blushing [PERIOD]
tidy [AND] worried [AND] versatile [IMPLY] agreeable [PERIOD]
worried [AND] rational [IMPLY] shiny [PERIOD]
scared [IMPLY] pessimistic [PERIOD]
shiny [AND] pessimistic [AND] busy [IMPLY] versatile [PERIOD]
selfish [AND] gifted [IMPLY] agreeable [PERIOD]
gifted [IMPLY] scared [PERIOD]
bad-tempered [AND] scared [IMPLY] gifted [PERIOD]
rational [AND] famous [IMPLY] light [PERIOD]
famous [AND] bad-tempered [IMPLY] plain [PERIOD]
blushing [AND] scared [AND] worried [IMPLY] plain [PERIOD]
plain [AND] shiny [IMPLY] selfish [PERIOD]
rational [AND] pessimistic [AND] scared [IMPLY] worried [PERIOD]
light [AND] agreeable [IMPLY] scared [PERIOD]
bad-tempered [AND] gifted [IMPLY] tidy [PERIOD]
tidy [IMPLY] pessimistic [PERIOD]
tidy [AND] selfish [AND] agreeable [IMPLY] versatile [PERIOD]
tidy [AND] busy [IMPLY] shiny [PERIOD]
tidy [IMPLY] shiny [PERIOD]
joyous [IMPLY] busy [PERIOD]
joyous [AND] rational [IMPLY] bad-tempered [PERIOD]
shiny [IMPLY] joyous [PERIOD]
bad-tempered [IMPLY] rational [PERIOD]
agreeable [IMPLY] scared [PERIOD]
famous [AND] worried [AND] busy [IMPLY] light [PERIOD]
famous [AND] worried [IMPLY] shiny [PERIOD]
rational [AND] selfish [IMPLY] agreeable [PERIOD]
pessimistic [IMPLY] selfish [PERIOD]
joyous [IMPLY] famous [PERIOD]
tidy [AND] bad-tempered [IMPLY] worried [PERIOD]
joyous [IMPLY] light [PERIOD]
scared [AND] versatile [AND] shiny [IMPLY] famous [PERIOD]
famous [IMPLY] joyous [PERIOD]
selfish [IMPLY] famous [PERIOD]
shiny [AND] busy [IMPLY] joyous [PERIOD]
versatile [AND] pessimistic [IMPLY] famous [PERIOD]
famous [AND] rational [AND] agreeable [IMPLY] bad-tempered [PERIOD]
famous [AND] versatile [AND] busy [IMPLY] worried [PERIOD]
rational [AND] light [AND] tidy [IMPLY] versatile [PERIOD]
light [AND] shiny [IMPLY] tidy [PERIOD]
versatile [AND] shiny [AND] joyous [IMPLY] rational [PERIOD]
tidy [IMPLY] scared [PERIOD]
versatile [IMPLY] scared [PERIOD]
light [AND] famous [AND] agreeable [IMPLY] gifted [PERIOD]
pessimistic [AND] blushing [IMPLY] light [PERIOD]
light [IMPLY] joyous [PERIOD]
tidy [IMPLY] busy [PERIOD]
gifted [AND] versatile [AND] light [IMPLY] busy [PERIOD]
busy [AND] worried [IMPLY] scared [PERIOD]
busy [IMPLY] gifted [PERIOD]
bad-tempered [IMPLY] busy [PERIOD]
plain [IMPLY] famous [PERIOD]
selfish [IMPLY] agreeable [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   Cannot apply rule “tidy ∧ worried ∧ versatile ⇒ agreeable” because missing: tidy, worried, versatile.
   Cannot apply rule “selfish ∧ gifted ⇒ agreeable” because missing: selfish, gifted.
   Cannot apply rule “rational ∧ selfish ⇒ agreeable” because missing: rational, selfish.
   Cannot apply rule “selfish ⇒ agreeable” because missing: selfish.
",0,4
"Facts:  Alice is vivacious [PERIOD] Alice is victorious [PERIOD] Alice is inexpensive [PERIOD] Alice is condemned [PERIOD]
Rules:
modern [AND] blushing [AND] proud [IMPLY] inexpensive [PERIOD]
frail [AND] victorious [AND] sensible [IMPLY] modern [PERIOD]
jittery [IMPLY] frail [PERIOD]
perfect [IMPLY] sensible [PERIOD]
jittery [AND] blushing [AND] perfect [IMPLY] wandering [PERIOD]
wandering [IMPLY] condemned [PERIOD]
proud [IMPLY] victorious [PERIOD]
blushing [AND] modern [IMPLY] impartial [PERIOD]
perfect [AND] modern [IMPLY] scared [PERIOD]
scared [AND] condemned [AND] inexpensive [IMPLY] jittery [PERIOD]
modern [AND] proud [AND] wandering [IMPLY] blushing [PERIOD]
proud [AND] blushing [AND] inexpensive [IMPLY] wandering [PERIOD]
impartial [AND] inexpensive [AND] sensible [IMPLY] perfect [PERIOD]
sensible [IMPLY] inexpensive [PERIOD]
impartial [AND] proud [IMPLY] modern [PERIOD]
proud [AND] jittery [IMPLY] perfect [PERIOD]
vivacious [AND] proud [AND] impartial [IMPLY] modern [PERIOD]
scared [IMPLY] proud [PERIOD]
frail [AND] scared [IMPLY] condemned [PERIOD]
perfect [IMPLY] blushing [PERIOD]
blushing [IMPLY] jittery [PERIOD]
impartial [IMPLY] wandering [PERIOD]
modern [AND] scared [AND] proud [IMPLY] victorious [PERIOD]
sensible [IMPLY] wandering [PERIOD]
vivacious [AND] wandering [AND] shy [IMPLY] blushing [PERIOD]
frail [IMPLY] wandering [PERIOD]
scared [AND] impartial [AND] blushing [IMPLY] victorious [PERIOD]
jittery [AND] inexpensive [IMPLY] proud [PERIOD]
sensible [AND] victorious [AND] condemned [IMPLY] perfect [PERIOD]
vivacious [AND] scared [IMPLY] modern [PERIOD]
condemned [AND] jittery [AND] vivacious [IMPLY] inexpensive [PERIOD]
proud [AND] sensible [IMPLY] frail [PERIOD]
blushing [IMPLY] condemned [PERIOD]
shy [AND] proud [IMPLY] vivacious [PERIOD]
victorious [AND] inexpensive [AND] modern [IMPLY] frail [PERIOD]
blushing [AND] perfect [AND] frail [IMPLY] wandering [PERIOD]
frail [AND] perfect [AND] blushing [IMPLY] condemned [PERIOD]
vivacious [AND] proud [AND] jittery [IMPLY] modern [PERIOD]
inexpensive [IMPLY] modern [PERIOD]
shy [AND] scared [IMPLY] modern [PERIOD]
scared [AND] impartial [IMPLY] jittery [PERIOD]
inexpensive [AND] jittery [IMPLY] impartial [PERIOD]
vivacious [AND] shy [AND] victorious [IMPLY] impartial [PERIOD]
wandering [AND] inexpensive [AND] scared [IMPLY] modern [PERIOD]
blushing [IMPLY] perfect [PERIOD]
victorious [AND] condemned [IMPLY] proud [PERIOD]
modern [IMPLY] condemned [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   inexpensive ⇒ modern
   victorious ∧ condemned ⇒ proud
   inexpensive ⇒ modern
   victorious ∧ inexpensive ∧ modern ⇒ frail
   frail ⇒ wandering
   modern ∧ proud ∧ wandering ⇒ blushing
",1,6
"Facts: 
Rules:
pessimistic [AND] reserved [IMPLY] outrageous [PERIOD]
spotless [IMPLY] dull [PERIOD]
tired [AND] outrageous [AND] distinct [IMPLY] dull [PERIOD]
spotless [AND] different [IMPLY] old-fashioned [PERIOD]
distinct [AND] old-fashioned [AND] weary [IMPLY] reserved [PERIOD]
outrageous [AND] tender [IMPLY] inquisitive [PERIOD]
supportive [IMPLY] outrageous [PERIOD]
tender [AND] charming [IMPLY] lucky [PERIOD]
charming [IMPLY] frightened [PERIOD]
old-fashioned [AND] inquisitive [IMPLY] weary [PERIOD]
supportive [AND] lucky [AND] outrageous [IMPLY] excited [PERIOD]
different [IMPLY] inquisitive [PERIOD]
outrageous [AND] different [AND] distinct [IMPLY] tender [PERIOD]
pessimistic [IMPLY] charming [PERIOD]
lucky [AND] distinct [IMPLY] aggressive [PERIOD]
distinct [IMPLY] tired [PERIOD]
different [AND] distinct [AND] pessimistic [IMPLY] frightened [PERIOD]
pessimistic [AND] reserved [IMPLY] weary [PERIOD]
different [IMPLY] outrageous [PERIOD]
outrageous [AND] supportive [IMPLY] spotless [PERIOD]
spotless [AND] weary [AND] distinct [IMPLY] dull [PERIOD]
tired [AND] frightened [IMPLY] weary [PERIOD]
lucky [AND] outrageous [IMPLY] tired [PERIOD]
excited [AND] aggressive [IMPLY] lucky [PERIOD]
reserved [AND] pessimistic [AND] tender [IMPLY] spotless [PERIOD]
reserved [AND] pessimistic [AND] lucky [IMPLY] charming [PERIOD]
old-fashioned [IMPLY] supportive [PERIOD]
tender [IMPLY] tired [PERIOD]
weary [AND] aggressive [IMPLY] pessimistic [PERIOD]
dull [AND] distinct [AND] spotless [IMPLY] excited [PERIOD]
inquisitive [AND] spotless [IMPLY] aggressive [PERIOD]
tired [IMPLY] aggressive [PERIOD]
tired [IMPLY] dull [PERIOD]
aggressive [AND] frightened [AND] reserved [IMPLY] weary [PERIOD]
weary [AND] distinct [IMPLY] frightened [PERIOD]
inquisitive [IMPLY] lucky [PERIOD]
lucky [IMPLY] weary [PERIOD]
aggressive [AND] reserved [IMPLY] spotless [PERIOD]
dull [AND] supportive [AND] tired [IMPLY] weary [PERIOD]
supportive [AND] lucky [AND] old-fashioned [IMPLY] pessimistic [PERIOD]
outrageous [AND] reserved [AND] old-fashioned [IMPLY] different [PERIOD]
outrageous [AND] distinct [AND] tired [IMPLY] charming [PERIOD]
weary [AND] inquisitive [IMPLY] outrageous [PERIOD]
tired [AND] excited [AND] reserved [IMPLY] charming [PERIOD]
charming [AND] outrageous [IMPLY] tired [PERIOD]
distinct [AND] dull [IMPLY] tired [PERIOD]
charming [IMPLY] tired [PERIOD]
aggressive [AND] tired [AND] inquisitive [IMPLY] supportive [PERIOD]
inquisitive [AND] pessimistic [AND] dull [IMPLY] weary [PERIOD]
old-fashioned [AND] charming [IMPLY] pessimistic [PERIOD]
lucky [IMPLY] dull [PERIOD]
spotless [AND] excited [IMPLY] outrageous [PERIOD]
frightened [IMPLY] inquisitive [PERIOD]
charming [AND] tender [IMPLY] tired [PERIOD]
pessimistic [AND] supportive [AND] different [IMPLY] charming [PERIOD]
weary [AND] old-fashioned [AND] excited [IMPLY] different [PERIOD]
charming [AND] reserved [AND] tender [IMPLY] frightened [PERIOD]
charming [AND] different [AND] inquisitive [IMPLY] reserved [PERIOD]
outrageous [AND] lucky [AND] excited [IMPLY] pessimistic [PERIOD]
different [AND] aggressive [AND] tired [IMPLY] inquisitive [PERIOD]
outrageous [IMPLY] old-fashioned [PERIOD]
frightened [IMPLY] spotless [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   Cannot apply rule “old-fashioned ∧ inquisitive ⇒ weary” because missing: old-fashioned, inquisitive.
   Cannot apply rule “pessimistic ∧ reserved ⇒ weary” because missing: pessimistic, reserved.
   Cannot apply rule “tired ∧ frightened ⇒ weary” because missing: tired, frightened.
   Cannot apply rule “aggressive ∧ frightened ∧ reserved ⇒ weary” because missing: aggressive, frightened, reserved.
   Cannot apply rule “lucky ⇒ weary” because missing: lucky.
   Cannot apply rule “dull ∧ supportive ∧ tired ⇒ weary” because missing: dull, supportive, tired.
   Cannot apply rule “inquisitive ∧ pessimistic ∧ dull ⇒ weary” because missing: inquisitive, pessimistic, dull.
",0,7
"Facts:  Alice is elegant [PERIOD] Alice is friendly [PERIOD] Alice is cooperative [PERIOD] Alice is elated [PERIOD]
Rules:
aggressive [AND] elated [AND] friendly [IMPLY] wandering [PERIOD]
wide-eyed [AND] bored [IMPLY] tired [PERIOD]
condemned [IMPLY] aggressive [PERIOD]
cruel [AND] frightened [AND] elated [IMPLY] innocent [PERIOD]
anxious [AND] lucky [AND] aggressive [IMPLY] friendly [PERIOD]
naughty [AND] bored [IMPLY] lucky [PERIOD]
busy [AND] selfish [IMPLY] popular [PERIOD]
naughty [IMPLY] impatient [PERIOD]
selfish [AND] naughty [AND] innocent [IMPLY] fragile [PERIOD]
popular [AND] quaint [IMPLY] bored [PERIOD]
naughty [AND] aggressive [AND] popular [IMPLY] clumsy [PERIOD]
innocent [IMPLY] anxious [PERIOD]
tired [IMPLY] busy [PERIOD]
anxious [AND] aggressive [AND] busy [IMPLY] fragile [PERIOD]
frightened [IMPLY] wandering [PERIOD]
friendly [AND] popular [AND] lonely [IMPLY] elegant [PERIOD]
lucky [AND] quaint [IMPLY] anxious [PERIOD]
selfish [IMPLY] elegant [PERIOD]
elegant [AND] friendly [AND] lonely [IMPLY] frightened [PERIOD]
tired [IMPLY] fine [PERIOD]
clumsy [AND] bored [AND] fragile [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] impatient [IMPLY] cruel [PERIOD]
lucky [IMPLY] selfish [PERIOD]
lonely [AND] wide-eyed [AND] tired [IMPLY] friendly [PERIOD]
clumsy [AND] innocent [AND] condemned [IMPLY] elated [PERIOD]
elegant [IMPLY] quaint [PERIOD]
lucky [IMPLY] popular [PERIOD]
bored [AND] frightened [AND] elated [IMPLY] wandering [PERIOD]
lucky [AND] frightened [IMPLY] cooperative [PERIOD]
tired [IMPLY] elegant [PERIOD]
clumsy [IMPLY] wide-eyed [PERIOD]
naughty [IMPLY] wide-eyed [PERIOD]
fine [AND] excited [AND] bored [IMPLY] tired [PERIOD]
anxious [IMPLY] lonely [PERIOD]
selfish [AND] lucky [AND] wandering [IMPLY] bored [PERIOD]
anxious [AND] excited [AND] tired [IMPLY] naughty [PERIOD]
innocent [AND] wide-eyed [IMPLY] elegant [PERIOD]
elegant [AND] condemned [AND] anxious [IMPLY] wandering [PERIOD]
tired [AND] popular [AND] lucky [IMPLY] aggressive [PERIOD]
tired [AND] lonely [AND] clumsy [IMPLY] anxious [PERIOD]
quaint [IMPLY] anxious [PERIOD]
wandering [AND] quaint [AND] lonely [IMPLY] fragile [PERIOD]
tired [AND] fragile [IMPLY] fine [PERIOD]
cooperative [AND] selfish [IMPLY] busy [PERIOD]
anxious [IMPLY] clumsy [PERIOD]
aggressive [AND] cooperative [IMPLY] fine [PERIOD]
elegant [IMPLY] fragile [PERIOD]
selfish [IMPLY] clumsy [PERIOD]
aggressive [IMPLY] elated [PERIOD]
selfish [AND] excited [AND] frightened [IMPLY] tired [PERIOD]
wide-eyed [IMPLY] cruel [PERIOD]
tired [AND] popular [AND] wandering [IMPLY] cooperative [PERIOD]
excited [AND] quaint [IMPLY] condemned [PERIOD]
wandering [IMPLY] elated [PERIOD]
cruel [AND] aggressive [AND] anxious [IMPLY] wandering [PERIOD]
fragile [AND] impatient [AND] clumsy [IMPLY] cooperative [PERIOD]
cruel [IMPLY] frightened [PERIOD]
elegant [AND] friendly [IMPLY] elated [PERIOD]
wide-eyed [IMPLY] lucky [PERIOD]
aggressive [AND] clumsy [IMPLY] friendly [PERIOD]
lucky [AND] excited [AND] frightened [IMPLY] fragile [PERIOD]
wandering [IMPLY] popular [PERIOD]
impatient [IMPLY] innocent [PERIOD]
cooperative [IMPLY] excited [PERIOD]
frightened [IMPLY] excited [PERIOD]
frightened [IMPLY] clumsy [PERIOD]
aggressive [IMPLY] lucky [PERIOD]
impatient [AND] fine [AND] elegant [IMPLY] tired [PERIOD]
cooperative [AND] lucky [IMPLY] popular [PERIOD]
quaint [AND] elated [IMPLY] popular [PERIOD]
wandering [AND] quaint [AND] frightened [IMPLY] anxious [PERIOD]
busy [IMPLY] selfish [PERIOD]
friendly [AND] popular [AND] naughty [IMPLY] busy [PERIOD]
impatient [AND] clumsy [IMPLY] lonely [PERIOD]
frightened [AND] lucky [IMPLY] popular [PERIOD]
fine [AND] popular [IMPLY] wide-eyed [PERIOD]
aggressive [IMPLY] anxious [PERIOD]
lucky [AND] friendly [AND] quaint [IMPLY] tired [PERIOD]
naughty [IMPLY] anxious [PERIOD]
aggressive [IMPLY] popular [PERIOD]
selfish [AND] friendly [AND] excited [IMPLY] wandering [PERIOD]
wide-eyed [AND] bored [AND] elegant [IMPLY] popular [PERIOD]
wandering [IMPLY] fine [PERIOD]
wandering [IMPLY] quaint [PERIOD]
cruel [AND] innocent [IMPLY] fragile [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   cooperative ⇒ excited
   elegant ⇒ quaint
   excited ∧ quaint ⇒ condemned
   condemned ⇒ aggressive
   aggressive ∧ cooperative ⇒ fine
",1,5
"Facts:  Alice is busy [PERIOD] Alice is muddy [PERIOD] Alice is shiny [PERIOD] Alice is shy [PERIOD] Alice is tired [PERIOD] Alice is alert [PERIOD] Alice is pessimistic [PERIOD] Alice is frightened [PERIOD] Alice is fine [PERIOD] Alice is amused [PERIOD] Alice is impatient [PERIOD]
Rules:
pessimistic [AND] frightened [AND] muddy [IMPLY] hurt [PERIOD]
frightened [AND] hurt [IMPLY] tired [PERIOD]
amused [IMPLY] frightened [PERIOD]
fine [AND] tidy [AND] impatient [IMPLY] shiny [PERIOD]
shiny [AND] muddy [AND] tidy [IMPLY] pessimistic [PERIOD]
busy [AND] hurt [AND] amused [IMPLY] shy [PERIOD]
alert [AND] shy [AND] amused [IMPLY] frightened [PERIOD]
pessimistic [IMPLY] shiny [PERIOD]
shy [IMPLY] shiny [PERIOD]
pessimistic [AND] busy [IMPLY] tired [PERIOD]
shy [IMPLY] tired [PERIOD]
fine [AND] impatient [AND] pessimistic [IMPLY] shy [PERIOD]
fine [AND] muddy [AND] frightened [IMPLY] shy [PERIOD]
pessimistic [AND] shy [AND] impatient [IMPLY] muddy [PERIOD]
tidy [AND] pessimistic [IMPLY] amused [PERIOD]
impatient [IMPLY] shy [PERIOD]
fine [AND] hurt [AND] tidy [IMPLY] shy [PERIOD]
amused [AND] shiny [IMPLY] impatient [PERIOD]
shy [AND] hurt [AND] shiny [IMPLY] tidy [PERIOD]
tired [IMPLY] shiny [PERIOD]
alert [AND] muddy [AND] busy [IMPLY] pessimistic [PERIOD]
impatient [IMPLY] shiny [PERIOD]
muddy [IMPLY] tired [PERIOD]
muddy [AND] impatient [IMPLY] shiny [PERIOD]
hurt [IMPLY] muddy [PERIOD]
tired [AND] alert [IMPLY] hurt [PERIOD]
muddy [AND] alert [IMPLY] pessimistic [PERIOD]
muddy [AND] hurt [IMPLY] busy [PERIOD]
busy [AND] impatient [IMPLY] tired [PERIOD]
shiny [AND] tired [AND] tidy [IMPLY] alert [PERIOD]
shiny [IMPLY] busy [PERIOD]
impatient [IMPLY] tidy [PERIOD]
pessimistic [AND] impatient [IMPLY] shy [PERIOD]
alert [AND] amused [AND] frightened [IMPLY] busy [PERIOD]
muddy [IMPLY] shy [PERIOD]
hurt [AND] shiny [AND] fine [IMPLY] shy [PERIOD]
alert [AND] fine [IMPLY] shy [PERIOD]
fine [AND] shy [AND] hurt [IMPLY] frightened [PERIOD]
impatient [AND] shiny [IMPLY] hurt [PERIOD]
alert [AND] amused [IMPLY] impatient [PERIOD]
pessimistic [AND] frightened [AND] amused [IMPLY] shy [PERIOD]
alert [AND] busy [IMPLY] shy [PERIOD]
alert [IMPLY] shiny [PERIOD]
frightened [AND] tidy [IMPLY] shy [PERIOD]
tired [AND] fine [IMPLY] busy [PERIOD]
hurt [IMPLY] tired [PERIOD]
shiny [AND] busy [AND] pessimistic [IMPLY] tidy [PERIOD]
impatient [AND] shiny [AND] hurt [IMPLY] shy [PERIOD]
alert [IMPLY] pessimistic [PERIOD]
hurt [IMPLY] shiny [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   impatient ⇒ tidy
",1,1
"Facts:  Alice is fine [PERIOD] Alice is uptight [PERIOD] Alice is helpful [PERIOD] Alice is intellectual [PERIOD] Alice is calm [PERIOD] Alice is precious [PERIOD]
Rules:
intellectual [AND] calm [AND] helpful [IMPLY] uptight [PERIOD]
wandering [AND] fine [IMPLY] intellectual [PERIOD]
fine [IMPLY] precious [PERIOD]
calm [AND] uptight [AND] precious [IMPLY] wandering [PERIOD]
fine [IMPLY] calm [PERIOD]
agreeable [AND] intellectual [AND] calm [IMPLY] fine [PERIOD]
wandering [AND] fine [IMPLY] uptight [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is amused [PERIOD] Alice is hypocritical [PERIOD] Alice is gleaming [PERIOD] Alice is thoughtless [PERIOD] Alice is average [PERIOD]
Rules:
average [AND] combative [AND] impartial [IMPLY] different [PERIOD]
average [AND] impartial [IMPLY] thoughtless [PERIOD]
pessimistic [IMPLY] average [PERIOD]
helpless [AND] ugliest [AND] crowded [IMPLY] impartial [PERIOD]
amused [AND] impartial [IMPLY] pessimistic [PERIOD]
combative [AND] impartial [IMPLY] gleaming [PERIOD]
pessimistic [AND] different [AND] crowded [IMPLY] thoughtless [PERIOD]
pessimistic [AND] supportive [AND] gifted [IMPLY] hypocritical [PERIOD]
impartial [AND] crowded [IMPLY] thoughtless [PERIOD]
ugliest [IMPLY] gleaming [PERIOD]
confused [AND] crowded [IMPLY] famous [PERIOD]
pessimistic [AND] helpless [AND] amused [IMPLY] hypocritical [PERIOD]
helpless [AND] ugliest [IMPLY] confused [PERIOD]
gifted [AND] hypocritical [IMPLY] helpless [PERIOD]
thoughtless [IMPLY] confused [PERIOD]
helpless [IMPLY] average [PERIOD]
combative [AND] gifted [AND] impartial [IMPLY] gleaming [PERIOD]
different [AND] amused [AND] impartial [IMPLY] confused [PERIOD]
gifted [IMPLY] amused [PERIOD]
ugliest [IMPLY] impartial [PERIOD]
ugliest [IMPLY] average [PERIOD]
ugliest [AND] crowded [AND] confused [IMPLY] average [PERIOD]
gleaming [AND] gifted [IMPLY] helpless [PERIOD]
impartial [IMPLY] confused [PERIOD]
gifted [IMPLY] impartial [PERIOD]
gifted [AND] confused [AND] supportive [IMPLY] helpless [PERIOD]
crowded [IMPLY] ugliest [PERIOD]
famous [AND] hypocritical [IMPLY] different [PERIOD]
gleaming [AND] pessimistic [AND] impartial [IMPLY] famous [PERIOD]
amused [AND] crowded [AND] gifted [IMPLY] thoughtless [PERIOD]
gifted [IMPLY] pessimistic [PERIOD]
famous [AND] ugliest [AND] crowded [IMPLY] confused [PERIOD]
ugliest [AND] crowded [AND] helpless [IMPLY] hypocritical [PERIOD]
gleaming [AND] crowded [IMPLY] gifted [PERIOD]
pessimistic [AND] crowded [IMPLY] thoughtless [PERIOD]
amused [AND] helpless [AND] hypocritical [IMPLY] thoughtless [PERIOD]
different [AND] helpless [AND] average [IMPLY] combative [PERIOD]
crowded [IMPLY] thoughtless [PERIOD]
different [AND] crowded [IMPLY] average [PERIOD]
thoughtless [AND] helpless [IMPLY] different [PERIOD]
hypocritical [AND] crowded [IMPLY] average [PERIOD]
helpless [AND] different [IMPLY] confused [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   Cannot apply rule “gifted ∧ hypocritical ⇒ helpless” because missing: gifted.
   Cannot apply rule “gleaming ∧ gifted ⇒ helpless” because missing: gifted.
   thoughtless ⇒ confused
   Cannot apply rule “gifted ∧ confused ∧ supportive ⇒ helpless” because missing: gifted, supportive.
",0,4
"Facts:  Alice is combative [PERIOD]
Rules:
calm [AND] pessimistic [IMPLY] polite [PERIOD]
long [AND] calm [IMPLY] polite [PERIOD]
combative [IMPLY] pessimistic [PERIOD]
pessimistic [AND] silly [AND] calm [IMPLY] polite [PERIOD]
straightforward [AND] polite [AND] combative [IMPLY] pessimistic [PERIOD]
polite [IMPLY] long [PERIOD]
straightforward [IMPLY] polite [PERIOD]
straightforward [IMPLY] combative [PERIOD]
polite [AND] calm [IMPLY] straightforward [PERIOD]
pessimistic [AND] polite [IMPLY] silly [PERIOD]
combative [IMPLY] long [PERIOD]
long [AND] silly [AND] polite [IMPLY] straightforward [PERIOD]
pessimistic [IMPLY] long [PERIOD]
long [AND] straightforward [AND] polite [IMPLY] calm [PERIOD]
long [AND] silly [AND] pessimistic [IMPLY] combative [PERIOD]
combative [AND] silly [IMPLY] straightforward [PERIOD]
silly [AND] combative [IMPLY] long [PERIOD]
polite [AND] silly [AND] long [IMPLY] calm [PERIOD]
silly [IMPLY] pessimistic [PERIOD]
combative [AND] polite [AND] long [IMPLY] calm [PERIOD]
straightforward [AND] calm [AND] combative [IMPLY] silly [PERIOD]
calm [IMPLY] pessimistic [PERIOD]
silly [AND] calm [IMPLY] long [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   combative ⇒ long
   Cannot apply rule “long ∧ straightforward ∧ polite ⇒ calm” because missing: straightforward, polite.
   combative ⇒ long
   Cannot apply rule “polite ∧ silly ∧ long ⇒ calm” because missing: polite, silly.
   combative ⇒ long
   Cannot apply rule “combative ∧ polite ∧ long ⇒ calm” because missing: polite.
",0,6
"Facts:  Alice is unpleasant [PERIOD]
Rules:
bossy [IMPLY] agreeable [PERIOD]
plain [AND] courageous [IMPLY] bright [PERIOD]
impartial [IMPLY] fancy [PERIOD]
impartial [AND] plain [IMPLY] agreeable [PERIOD]
uptight [IMPLY] plain [PERIOD]
anxious [IMPLY] bright [PERIOD]
frightened [AND] versatile [AND] plain [IMPLY] bright [PERIOD]
gleaming [AND] courageous [AND] impartial [IMPLY] uptight [PERIOD]
strange [IMPLY] anxious [PERIOD]
courageous [AND] versatile [AND] pessimistic [IMPLY] plain [PERIOD]
frightened [AND] wide-eyed [AND] strange [IMPLY] uptight [PERIOD]
fancy [AND] confused [IMPLY] versatile [PERIOD]
anxious [AND] wide-eyed [IMPLY] crowded [PERIOD]
impartial [AND] pessimistic [AND] strange [IMPLY] fancy [PERIOD]
agreeable [AND] fancy [AND] courageous [IMPLY] impartial [PERIOD]
courageous [AND] fancy [AND] embarrassed [IMPLY] confused [PERIOD]
gleaming [AND] crowded [AND] embarrassed [IMPLY] wide-eyed [PERIOD]
strange [IMPLY] comfortable [PERIOD]
impartial [IMPLY] gleaming [PERIOD]
courageous [IMPLY] good [PERIOD]
agreeable [IMPLY] good [PERIOD]
versatile [AND] wide-eyed [IMPLY] courageous [PERIOD]
anxious [AND] bright [IMPLY] comfortable [PERIOD]
bright [AND] uptight [IMPLY] fancy [PERIOD]
fancy [AND] bright [AND] frightened [IMPLY] exuberant [PERIOD]
good [AND] uptight [AND] plain [IMPLY] impartial [PERIOD]
impartial [AND] good [IMPLY] courageous [PERIOD]
plain [AND] thoughtless [AND] gleaming [IMPLY] frightened [PERIOD]
agreeable [IMPLY] thoughtless [PERIOD]
uptight [AND] fancy [AND] exuberant [IMPLY] gleaming [PERIOD]
bossy [AND] uptight [AND] frightened [IMPLY] plain [PERIOD]
pessimistic [AND] comfortable [IMPLY] gleaming [PERIOD]
versatile [IMPLY] good [PERIOD]
wide-eyed [AND] bossy [AND] agreeable [IMPLY] confused [PERIOD]
courageous [AND] bossy [IMPLY] gleaming [PERIOD]
wide-eyed [IMPLY] exuberant [PERIOD]
comfortable [IMPLY] bright [PERIOD]
thoughtless [AND] frightened [IMPLY] crowded [PERIOD]
bright [AND] plain [IMPLY] gleaming [PERIOD]
crowded [IMPLY] thoughtless [PERIOD]
bright [IMPLY] strange [PERIOD]
wide-eyed [AND] courageous [AND] impartial [IMPLY] embarrassed [PERIOD]
impartial [AND] strange [IMPLY] crowded [PERIOD]
good [AND] pessimistic [AND] courageous [IMPLY] exuberant [PERIOD]
gleaming [AND] thoughtless [AND] crowded [IMPLY] confused [PERIOD]
gleaming [IMPLY] frightened [PERIOD]
good [AND] bright [IMPLY] plain [PERIOD]
unpleasant [IMPLY] courageous [PERIOD]
bright [IMPLY] agreeable [PERIOD]
strange [IMPLY] confused [PERIOD]
comfortable [AND] agreeable [AND] frightened [IMPLY] exuberant [PERIOD]
unpleasant [AND] exuberant [AND] anxious [IMPLY] versatile [PERIOD]
good [AND] unpleasant [IMPLY] pessimistic [PERIOD]
frightened [IMPLY] pessimistic [PERIOD]
gleaming [AND] crowded [IMPLY] exuberant [PERIOD]
courageous [IMPLY] impartial [PERIOD]
unpleasant [IMPLY] embarrassed [PERIOD]
anxious [AND] thoughtless [AND] unpleasant [IMPLY] courageous [PERIOD]
confused [IMPLY] frightened [PERIOD]
pessimistic [AND] gleaming [AND] embarrassed [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] good [PERIOD]
frightened [IMPLY] courageous [PERIOD]
strange [AND] crowded [IMPLY] versatile [PERIOD]
versatile [AND] embarrassed [AND] confused [IMPLY] gleaming [PERIOD]
comfortable [AND] thoughtless [IMPLY] frightened [PERIOD]
impartial [AND] thoughtless [IMPLY] plain [PERIOD]
fancy [IMPLY] impartial [PERIOD]
pessimistic [AND] confused [IMPLY] bright [PERIOD]
wide-eyed [AND] plain [AND] pessimistic [IMPLY] exuberant [PERIOD]
strange [AND] anxious [AND] bossy [IMPLY] comfortable [PERIOD]
exuberant [AND] courageous [IMPLY] wide-eyed [PERIOD]
thoughtless [IMPLY] embarrassed [PERIOD]
crowded [AND] exuberant [AND] anxious [IMPLY] wide-eyed [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
   unpleasant ⇒ courageous
   courageous ⇒ impartial
   impartial ⇒ gleaming
   gleaming ⇒ frightened
",1,4
"Facts:  Alice is bored [PERIOD] Alice is unpleasant [PERIOD] Alice is fancy [PERIOD]
Rules:
adorable [AND] good [IMPLY] unpleasant [PERIOD]
good [AND] bored [AND] unpleasant [IMPLY] careless [PERIOD]
bored [IMPLY] unpleasant [PERIOD]
good [IMPLY] fancy [PERIOD]
adorable [AND] careless [AND] fancy [IMPLY] unpleasant [PERIOD]
careless [AND] bored [AND] fancy [IMPLY] adorable [PERIOD]
careless [IMPLY] fancy [PERIOD]
unpleasant [IMPLY] adorable [PERIOD]
fancy [AND] careless [IMPLY] adorable [PERIOD]
fancy [AND] adorable [IMPLY] good [PERIOD]
adorable [AND] careless [AND] unpleasant [IMPLY] bored [PERIOD]
careless [IMPLY] adorable [PERIOD]
unpleasant [AND] adorable [AND] fancy [IMPLY] good [PERIOD]
careless [IMPLY] unpleasant [PERIOD]
good [AND] adorable [AND] unpleasant [IMPLY] fancy [PERIOD]
unpleasant [AND] bored [AND] good [IMPLY] adorable [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   unpleasant ⇒ adorable
   fancy ∧ adorable ⇒ good
   good ∧ bored ∧ unpleasant ⇒ careless
",1,3
"Facts:  Alice is tame [PERIOD] Alice is gorgeous [PERIOD]
Rules:
mysterious [AND] gorgeous [AND] condemned [IMPLY] mean [PERIOD]
ugly [AND] condemned [AND] mean [IMPLY] thoughtful [PERIOD]
thoughtful [AND] mysterious [AND] ugly [IMPLY] tame [PERIOD]
thoughtful [AND] ugly [AND] tame [IMPLY] busy [PERIOD]
mean [AND] condemned [AND] gorgeous [IMPLY] thoughtful [PERIOD]
gorgeous [IMPLY] mysterious [PERIOD]
condemned [AND] gorgeous [IMPLY] busy [PERIOD]
ugly [AND] mean [AND] tame [IMPLY] mysterious [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
   No rule concludes “condemned.”
",0,1
"Facts:  Alice is vivacious [PERIOD] Alice is condemned [PERIOD] Alice is quaint [PERIOD] Alice is worrisome [PERIOD] Alice is jittery [PERIOD] Alice is careless [PERIOD]
Rules:
innocent [AND] jittery [AND] condemned [IMPLY] vivacious [PERIOD]
quaint [AND] condemned [AND] careless [IMPLY] gleaming [PERIOD]
worrisome [IMPLY] quaint [PERIOD]
worrisome [AND] innocent [IMPLY] quaint [PERIOD]
fearless [AND] jittery [IMPLY] worrisome [PERIOD]
worrisome [AND] fearless [AND] quaint [IMPLY] gleaming [PERIOD]
quaint [IMPLY] innocent [PERIOD]
quaint [AND] innocent [IMPLY] careless [PERIOD]
vivacious [AND] quaint [IMPLY] gleaming [PERIOD]
fearless [IMPLY] careless [PERIOD]
gleaming [AND] quaint [IMPLY] jittery [PERIOD]
gleaming [IMPLY] careless [PERIOD]
careless [AND] innocent [IMPLY] worrisome [PERIOD]
fearless [AND] vivacious [AND] condemned [IMPLY] gleaming [PERIOD]
gleaming [AND] quaint [IMPLY] condemned [PERIOD]
gleaming [AND] quaint [IMPLY] fearless [PERIOD]
jittery [IMPLY] quaint [PERIOD]
fearless [IMPLY] vivacious [PERIOD]
innocent [AND] careless [IMPLY] gleaming [PERIOD]
careless [AND] innocent [AND] gleaming [IMPLY] worrisome [PERIOD]
condemned [IMPLY] innocent [PERIOD]
jittery [IMPLY] careless [PERIOD]
quaint [AND] worrisome [IMPLY] jittery [PERIOD]
quaint [IMPLY] condemned [PERIOD]
jittery [AND] condemned [AND] gleaming [IMPLY] innocent [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is pleasant [PERIOD] Alice is disgusted [PERIOD] Alice is rude [PERIOD] Alice is dishonest [PERIOD] Alice is cute [PERIOD] Alice is disobedient [PERIOD] Alice is light [PERIOD] Alice is easy [PERIOD] Alice is tender [PERIOD] Alice is famous [PERIOD] Alice is bored [PERIOD] Alice is amused [PERIOD] Alice is troubled [PERIOD] Alice is helpless [PERIOD] Alice is tidy [PERIOD] Alice is mean [PERIOD] Alice is calm [PERIOD] Alice is outrageous [PERIOD]
Rules:
clean [IMPLY] mean [PERIOD]
talented [AND] sleepy [IMPLY] enchanting [PERIOD]
sleepy [AND] troubled [IMPLY] dishonest [PERIOD]
light [AND] clumsy [IMPLY] calm [PERIOD]
calm [AND] dishonest [AND] tender [IMPLY] troubled [PERIOD]
clumsy [IMPLY] tender [PERIOD]
hurt [AND] bored [AND] amused [IMPLY] tidy [PERIOD]
dishonest [AND] outrageous [AND] tender [IMPLY] sleepy [PERIOD]
amused [AND] disobedient [IMPLY] tender [PERIOD]
dishonest [IMPLY] enchanting [PERIOD]
dishonest [AND] serious [AND] light [IMPLY] intellectual [PERIOD]
enchanting [AND] disobedient [IMPLY] outrageous [PERIOD]
pleasant [AND] dishonest [IMPLY] troubled [PERIOD]
light [IMPLY] tender [PERIOD]
mean [AND] proud [AND] hurt [IMPLY] light [PERIOD]
light [AND] proud [AND] serious [IMPLY] clumsy [PERIOD]
disgusted [AND] amused [IMPLY] mean [PERIOD]
troubled [IMPLY] diplomatic [PERIOD]
light [AND] clean [IMPLY] diplomatic [PERIOD]
helpless [AND] rude [AND] troubled [IMPLY] easy [PERIOD]
disgusted [IMPLY] sleepy [PERIOD]
famous [AND] easy [AND] clumsy [IMPLY] bored [PERIOD]
tidy [AND] diplomatic [AND] helpless [IMPLY] troubled [PERIOD]
disgusted [IMPLY] mean [PERIOD]
mean [AND] pleasant [IMPLY] tender [PERIOD]
rude [IMPLY] famous [PERIOD]
mean [AND] diplomatic [AND] famous [IMPLY] clean [PERIOD]
helpless [AND] easy [IMPLY] sleepy [PERIOD]
helpless [AND] easy [AND] serious [IMPLY] cute [PERIOD]
mean [AND] easy [AND] hurt [IMPLY] tender [PERIOD]
proud [AND] pleasant [IMPLY] wide-eyed [PERIOD]
clean [IMPLY] helpless [PERIOD]
diplomatic [AND] tidy [AND] sleepy [IMPLY] helpless [PERIOD]
dishonest [AND] easy [IMPLY] calm [PERIOD]
helpless [AND] amused [AND] calm [IMPLY] clumsy [PERIOD]
rude [AND] famous [AND] helpless [IMPLY] proud [PERIOD]
disgusted [IMPLY] pleasant [PERIOD]
sleepy [IMPLY] clean [PERIOD]
pleasant [IMPLY] hurt [PERIOD]
talented [AND] rude [IMPLY] enchanting [PERIOD]
helpless [IMPLY] clean [PERIOD]
enchanting [AND] sleepy [AND] famous [IMPLY] talented [PERIOD]
cute [IMPLY] clumsy [PERIOD]
proud [AND] easy [IMPLY] dishonest [PERIOD]
easy [AND] tender [AND] hurt [IMPLY] mean [PERIOD]
bored [AND] serious [IMPLY] tender [PERIOD]
wide-eyed [IMPLY] diplomatic [PERIOD]
dishonest [AND] sleepy [AND] tender [IMPLY] talented [PERIOD]
clean [AND] serious [AND] disobedient [IMPLY] diplomatic [PERIOD]
bored [AND] serious [IMPLY] famous [PERIOD]
disgusted [AND] proud [AND] troubled [IMPLY] sleepy [PERIOD]
troubled [IMPLY] hurt [PERIOD]
easy [IMPLY] sleepy [PERIOD]
intellectual [IMPLY] tender [PERIOD]
troubled [AND] disgusted [AND] calm [IMPLY] outrageous [PERIOD]
easy [AND] rude [AND] proud [IMPLY] disgusted [PERIOD]
troubled [AND] pleasant [IMPLY] disobedient [PERIOD]
easy [AND] serious [IMPLY] talented [PERIOD]
pleasant [IMPLY] rude [PERIOD]
amused [IMPLY] helpless [PERIOD]
serious [AND] tender [IMPLY] intellectual [PERIOD]
amused [AND] sleepy [AND] tender [IMPLY] bored [PERIOD]
proud [AND] dishonest [AND] disobedient [IMPLY] troubled [PERIOD]
mean [IMPLY] troubled [PERIOD]
dishonest [AND] hurt [AND] bored [IMPLY] sleepy [PERIOD]
hurt [AND] helpless [AND] talented [IMPLY] dishonest [PERIOD]
enchanting [AND] bored [IMPLY] easy [PERIOD]
disobedient [AND] diplomatic [AND] bored [IMPLY] famous [PERIOD]
helpless [AND] outrageous [IMPLY] light [PERIOD]
bored [AND] hurt [IMPLY] easy [PERIOD]
bored [AND] sleepy [AND] easy [IMPLY] calm [PERIOD]
pleasant [AND] cute [IMPLY] disobedient [PERIOD]
diplomatic [AND] clumsy [IMPLY] proud [PERIOD]
calm [AND] serious [IMPLY] pleasant [PERIOD]
outrageous [AND] easy [IMPLY] enchanting [PERIOD]
rude [IMPLY] bored [PERIOD]
intellectual [AND] serious [IMPLY] proud [PERIOD]
amused [AND] disobedient [IMPLY] disgusted [PERIOD]
diplomatic [AND] tender [AND] proud [IMPLY] disgusted [PERIOD]
helpless [IMPLY] disobedient [PERIOD]
talented [AND] rude [AND] dishonest [IMPLY] amused [PERIOD]
famous [AND] tender [AND] sleepy [IMPLY] rude [PERIOD]
talented [IMPLY] amused [PERIOD]
intellectual [AND] diplomatic [IMPLY] sleepy [PERIOD]
intellectual [AND] clumsy [IMPLY] bored [PERIOD]
hurt [IMPLY] clumsy [PERIOD]
intellectual [AND] tidy [AND] clumsy [IMPLY] calm [PERIOD]
hurt [AND] tidy [AND] wide-eyed [IMPLY] famous [PERIOD]
rude [AND] intellectual [IMPLY] tender [PERIOD]
pleasant [IMPLY] famous [PERIOD]
helpless [AND] mean [AND] famous [IMPLY] rude [PERIOD]
easy [IMPLY] tidy [PERIOD]
amused [AND] troubled [AND] disgusted [IMPLY] bored [PERIOD]
bored [AND] intellectual [AND] light [IMPLY] amused [PERIOD]
proud [AND] famous [AND] tidy [IMPLY] easy [PERIOD]
talented [AND] mean [IMPLY] intellectual [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is impartial [PERIOD]
Rules:
elated [IMPLY] impartial [PERIOD]
diplomatic [AND] plain [AND] comfortable [IMPLY] enchanting [PERIOD]
old-fashioned [AND] enchanting [AND] impartial [IMPLY] plain [PERIOD]
diplomatic [IMPLY] elated [PERIOD]
elegant [AND] enchanting [IMPLY] impartial [PERIOD]
elated [IMPLY] elegant [PERIOD]
comfortable [IMPLY] elegant [PERIOD]
enchanting [IMPLY] elegant [PERIOD]
comfortable [AND] elated [AND] diplomatic [IMPLY] old-fashioned [PERIOD]
comfortable [IMPLY] impartial [PERIOD]
elated [IMPLY] diplomatic [PERIOD]
comfortable [AND] elegant [IMPLY] plain [PERIOD]
enchanting [IMPLY] comfortable [PERIOD]
old-fashioned [IMPLY] comfortable [PERIOD]
elegant [AND] plain [AND] diplomatic [IMPLY] enchanting [PERIOD]
plain [AND] old-fashioned [AND] enchanting [IMPLY] elated [PERIOD]
diplomatic [AND] impartial [AND] elegant [IMPLY] elated [PERIOD]
enchanting [AND] plain [AND] comfortable [IMPLY] diplomatic [PERIOD]
old-fashioned [AND] enchanting [IMPLY] comfortable [PERIOD]
enchanting [IMPLY] old-fashioned [PERIOD]
old-fashioned [IMPLY] elated [PERIOD]
plain [AND] elegant [AND] comfortable [IMPLY] elated [PERIOD]
elegant [AND] enchanting [IMPLY] diplomatic [PERIOD]
plain [AND] diplomatic [IMPLY] impartial [PERIOD]
elated [AND] elegant [AND] plain [IMPLY] diplomatic [PERIOD]
plain [AND] elated [AND] comfortable [IMPLY] enchanting [PERIOD]
comfortable [AND] plain [IMPLY] diplomatic [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   Cannot apply rule “diplomatic ∧ plain ∧ comfortable ⇒ enchanting” because missing: diplomatic, plain, comfortable.
   Cannot apply rule “elegant ∧ plain ∧ diplomatic ⇒ enchanting” because missing: elegant, plain, diplomatic.
   Cannot apply rule “plain ∧ elated ∧ comfortable ⇒ enchanting” because missing: plain, elated, comfortable.
",0,3
"Facts:  Alice is combative [PERIOD]
Rules:
stupid [AND] bossy [IMPLY] ugly [PERIOD]
bossy [AND] ugliest [IMPLY] stupid [PERIOD]
bossy [AND] ugly [IMPLY] stupid [PERIOD]
troubled [AND] bossy [AND] ugliest [IMPLY] uptight [PERIOD]
ugliest [AND] combative [AND] troubled [IMPLY] bossy [PERIOD]
stupid [IMPLY] uptight [PERIOD]
stupid [AND] ugliest [AND] ugly [IMPLY] bossy [PERIOD]
troubled [AND] bossy [IMPLY] stupid [PERIOD]
ugly [AND] ugliest [IMPLY] troubled [PERIOD]
combative [IMPLY] uptight [PERIOD]
bossy [AND] uptight [IMPLY] combative [PERIOD]
bossy [AND] combative [AND] ugly [IMPLY] stupid [PERIOD]
ugliest [AND] ugly [AND] stupid [IMPLY] uptight [PERIOD]
stupid [AND] uptight [AND] troubled [IMPLY] ugly [PERIOD]
uptight [AND] combative [AND] troubled [IMPLY] stupid [PERIOD]
stupid [AND] uptight [IMPLY] troubled [PERIOD]
bossy [IMPLY] troubled [PERIOD]
bossy [AND] combative [IMPLY] ugliest [PERIOD]
ugly [AND] combative [AND] troubled [IMPLY] stupid [PERIOD]
combative [IMPLY] ugliest [PERIOD]
ugliest [AND] uptight [AND] stupid [IMPLY] ugly [PERIOD]
ugliest [IMPLY] bossy [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   combative ⇒ ugliest
   ugliest ⇒ bossy
   combative ⇒ ugliest
   bossy ∧ ugliest ⇒ stupid
   combative ⇒ ugliest
   ugliest ⇒ bossy
   stupid ∧ bossy ⇒ ugly
",1,7
"Facts:  Alice is smart [PERIOD]
Rules:
old-fashioned [AND] smart [AND] zealous [IMPLY] dishonest [PERIOD]
frantic [AND] tense [IMPLY] dishonest [PERIOD]
zealous [AND] mysterious [AND] tender [IMPLY] tense [PERIOD]
zealous [AND] dishonest [IMPLY] mysterious [PERIOD]
smart [IMPLY] mysterious [PERIOD]
zealous [AND] tender [IMPLY] victorious [PERIOD]
zealous [IMPLY] tense [PERIOD]
zealous [AND] tender [IMPLY] old-fashioned [PERIOD]
mysterious [IMPLY] tender [PERIOD]
mysterious [AND] frantic [IMPLY] smart [PERIOD]
zealous [IMPLY] frantic [PERIOD]
victorious [AND] dishonest [AND] mysterious [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] mysterious [IMPLY] dishonest [PERIOD]
mysterious [AND] zealous [IMPLY] smart [PERIOD]
dishonest [IMPLY] tense [PERIOD]
old-fashioned [IMPLY] dishonest [PERIOD]
victorious [IMPLY] old-fashioned [PERIOD]
smart [AND] tender [AND] mysterious [IMPLY] victorious [PERIOD]
mysterious [AND] smart [IMPLY] dishonest [PERIOD]
tense [AND] frantic [IMPLY] zealous [PERIOD]
tense [AND] smart [IMPLY] tender [PERIOD]
smart [AND] zealous [IMPLY] dishonest [PERIOD]
dishonest [AND] tender [AND] smart [IMPLY] zealous [PERIOD]
dishonest [IMPLY] mysterious [PERIOD]
tense [AND] smart [IMPLY] old-fashioned [PERIOD]
mysterious [AND] dishonest [AND] old-fashioned [IMPLY] frantic [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   smart ⇒ mysterious
   mysterious ∧ smart ⇒ dishonest
   smart ⇒ mysterious
   mysterious ⇒ tender
   dishonest ∧ tender ∧ smart ⇒ zealous
   zealous ⇒ frantic
",1,6
"Facts: 
Rules:
curious [IMPLY] mean [PERIOD]
serious [AND] beautiful [IMPLY] anxious [PERIOD]
lucky [AND] anxious [IMPLY] victorious [PERIOD]
precious [AND] crowded [AND] frightened [IMPLY] powerful [PERIOD]
foolish [AND] uptight [AND] strange [IMPLY] crowded [PERIOD]
curious [AND] precious [IMPLY] lucky [PERIOD]
charming [IMPLY] anxious [PERIOD]
powerful [IMPLY] foolish [PERIOD]
foolish [AND] condemned [IMPLY] tense [PERIOD]
victorious [IMPLY] clean [PERIOD]
frightened [AND] beautiful [AND] average [IMPLY] exuberant [PERIOD]
rational [AND] attractive [IMPLY] foolish [PERIOD]
curious [AND] attractive [IMPLY] naughty [PERIOD]
nervous [AND] lucky [IMPLY] frightened [PERIOD]
frantic [IMPLY] crowded [PERIOD]
mean [IMPLY] precious [PERIOD]
clean [AND] nervous [IMPLY] frantic [PERIOD]
frightened [AND] rational [AND] busy [IMPLY] powerful [PERIOD]
clean [IMPLY] busy [PERIOD]
serious [AND] condemned [AND] powerful [IMPLY] attractive [PERIOD]
powerful [AND] uptight [AND] serious [IMPLY] mean [PERIOD]
foolish [IMPLY] strange [PERIOD]
lucky [IMPLY] condemned [PERIOD]
strange [AND] clean [AND] exuberant [IMPLY] tense [PERIOD]
frightened [AND] lucky [AND] nervous [IMPLY] fine [PERIOD]
beautiful [AND] grumpy [AND] victorious [IMPLY] strange [PERIOD]
grumpy [AND] nervous [IMPLY] fine [PERIOD]
attractive [AND] victorious [IMPLY] average [PERIOD]
tense [IMPLY] exuberant [PERIOD]
charming [IMPLY] grumpy [PERIOD]
foolish [AND] frightened [AND] nervous [IMPLY] beautiful [PERIOD]
attractive [AND] rational [IMPLY] curious [PERIOD]
lucky [AND] rational [AND] uptight [IMPLY] average [PERIOD]
exuberant [IMPLY] crowded [PERIOD]
beautiful [IMPLY] strange [PERIOD]
frantic [IMPLY] frightened [PERIOD]
curious [IMPLY] lucky [PERIOD]
grumpy [AND] crowded [AND] fine [IMPLY] average [PERIOD]
lucky [AND] clean [IMPLY] mean [PERIOD]
precious [IMPLY] victorious [PERIOD]
exuberant [IMPLY] attractive [PERIOD]
mean [AND] precious [IMPLY] exuberant [PERIOD]
uptight [AND] charming [IMPLY] clean [PERIOD]
strange [AND] precious [IMPLY] frightened [PERIOD]
tense [AND] powerful [IMPLY] busy [PERIOD]
charming [IMPLY] clean [PERIOD]
frightened [AND] naughty [IMPLY] anxious [PERIOD]
foolish [AND] busy [AND] fine [IMPLY] frightened [PERIOD]
naughty [AND] powerful [IMPLY] lucky [PERIOD]
grumpy [AND] strange [IMPLY] naughty [PERIOD]
busy [AND] frantic [AND] charming [IMPLY] tense [PERIOD]
serious [AND] precious [IMPLY] frightened [PERIOD]
strange [AND] beautiful [AND] precious [IMPLY] attractive [PERIOD]
busy [IMPLY] fine [PERIOD]
mean [AND] exuberant [IMPLY] condemned [PERIOD]
beautiful [IMPLY] tense [PERIOD]
precious [AND] powerful [IMPLY] average [PERIOD]
busy [IMPLY] tense [PERIOD]
beautiful [AND] crowded [AND] clean [IMPLY] strange [PERIOD]
condemned [IMPLY] average [PERIOD]
fine [IMPLY] attractive [PERIOD]
fine [AND] attractive [IMPLY] rational [PERIOD]
clean [AND] uptight [IMPLY] fine [PERIOD]
grumpy [AND] condemned [IMPLY] clean [PERIOD]
serious [IMPLY] frightened [PERIOD]
clean [AND] beautiful [IMPLY] charming [PERIOD]
lucky [AND] naughty [AND] strange [IMPLY] curious [PERIOD]
nervous [AND] foolish [IMPLY] serious [PERIOD]
lucky [AND] attractive [AND] frightened [IMPLY] powerful [PERIOD]
serious [AND] crowded [IMPLY] anxious [PERIOD]
attractive [AND] tense [IMPLY] nervous [PERIOD]
beautiful [IMPLY] frightened [PERIOD]
curious [AND] fine [AND] mean [IMPLY] nervous [PERIOD]
uptight [AND] rational [AND] exuberant [IMPLY] fine [PERIOD]
anxious [IMPLY] busy [PERIOD]
precious [IMPLY] rational [PERIOD]
nervous [AND] attractive [IMPLY] grumpy [PERIOD]
average [AND] charming [IMPLY] lucky [PERIOD]
fine [AND] attractive [AND] beautiful [IMPLY] powerful [PERIOD]
charming [IMPLY] lucky [PERIOD]
lucky [IMPLY] nervous [PERIOD]
naughty [AND] rational [IMPLY] victorious [PERIOD]
frightened [IMPLY] nervous [PERIOD]
foolish [AND] precious [AND] charming [IMPLY] condemned [PERIOD]
nervous [AND] busy [IMPLY] charming [PERIOD]
condemned [AND] clean [IMPLY] exuberant [PERIOD]
grumpy [IMPLY] tense [PERIOD]
frightened [AND] frantic [AND] curious [IMPLY] charming [PERIOD]
mean [AND] clean [IMPLY] curious [PERIOD]
anxious [IMPLY] uptight [PERIOD]
serious [AND] nervous [AND] naughty [IMPLY] anxious [PERIOD]
foolish [AND] strange [IMPLY] busy [PERIOD]
crowded [AND] rational [AND] grumpy [IMPLY] strange [PERIOD]
beautiful [IMPLY] victorious [PERIOD]
fine [AND] precious [IMPLY] attractive [PERIOD]
attractive [AND] powerful [AND] grumpy [IMPLY] frightened [PERIOD]
grumpy [AND] frightened [IMPLY] lucky [PERIOD]
average [IMPLY] strange [PERIOD]
beautiful [AND] grumpy [IMPLY] precious [PERIOD]
grumpy [AND] serious [IMPLY] uptight [PERIOD]
strange [IMPLY] uptight [PERIOD]
victorious [AND] clean [IMPLY] tense [PERIOD]
victorious [AND] nervous [IMPLY] fine [PERIOD]
strange [AND] grumpy [IMPLY] clean [PERIOD]
beautiful [AND] frightened [IMPLY] uptight [PERIOD]
curious [IMPLY] powerful [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   Cannot apply rule “foolish ⇒ strange” because missing: foolish.
   Cannot apply rule “beautiful ∧ grumpy ∧ victorious ⇒ strange” because missing: beautiful, grumpy, victorious.
   Cannot apply rule “beautiful ⇒ strange” because missing: beautiful.
   Cannot apply rule “beautiful ∧ crowded ∧ clean ⇒ strange” because missing: beautiful, crowded, clean.
   Cannot apply rule “crowded ∧ rational ∧ grumpy ⇒ strange” because missing: crowded, rational, grumpy.
   Cannot apply rule “average ⇒ strange” because missing: average.
",0,6
"Facts:  Alice is reserved [PERIOD] Alice is excited [PERIOD] Alice is enchanting [PERIOD] Alice is versatile [PERIOD] Alice is horrible [PERIOD] Alice is bored [PERIOD] Alice is intellectual [PERIOD]
Rules:
intellectual [IMPLY] gorgeous [PERIOD]
excited [AND] horrible [IMPLY] enchanting [PERIOD]
mean [AND] horrible [AND] gorgeous [IMPLY] reserved [PERIOD]
bored [IMPLY] horrible [PERIOD]
gorgeous [IMPLY] elegant [PERIOD]
horrible [AND] enchanting [IMPLY] gorgeous [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is old-fashioned [PERIOD] Alice is frantic [PERIOD] Alice is perfect [PERIOD] Alice is impatient [PERIOD] Alice is fine [PERIOD] Alice is thoughtful [PERIOD] Alice is intellectual [PERIOD] Alice is stupid [PERIOD] Alice is lucky [PERIOD]
Rules:
tidy [IMPLY] outrageous [PERIOD]
dishonest [IMPLY] tidy [PERIOD]
cruel [IMPLY] tidy [PERIOD]
cruel [AND] fine [IMPLY] intellectual [PERIOD]
tidy [AND] fine [IMPLY] frantic [PERIOD]
thoughtful [AND] stupid [IMPLY] impatient [PERIOD]
lucky [AND] outrageous [AND] impatient [IMPLY] stupid [PERIOD]
frantic [AND] outrageous [IMPLY] dishonest [PERIOD]
tidy [IMPLY] dishonest [PERIOD]
dishonest [AND] frantic [IMPLY] lucky [PERIOD]
frantic [AND] old-fashioned [IMPLY] intellectual [PERIOD]
outrageous [IMPLY] tidy [PERIOD]
impatient [AND] perfect [IMPLY] old-fashioned [PERIOD]
comfortable [AND] tidy [IMPLY] outrageous [PERIOD]
scared [AND] perfect [IMPLY] outrageous [PERIOD]
tidy [AND] frantic [AND] fine [IMPLY] scared [PERIOD]
dishonest [AND] intellectual [IMPLY] thoughtful [PERIOD]
scared [AND] perfect [IMPLY] intellectual [PERIOD]
dishonest [IMPLY] comfortable [PERIOD]
scared [AND] frantic [AND] perfect [IMPLY] dishonest [PERIOD]
frantic [AND] dishonest [AND] fine [IMPLY] outrageous [PERIOD]
tidy [IMPLY] old-fashioned [PERIOD]
old-fashioned [IMPLY] stupid [PERIOD]
dishonest [IMPLY] thoughtful [PERIOD]
fine [AND] outrageous [IMPLY] stupid [PERIOD]
impatient [IMPLY] outrageous [PERIOD]
stupid [AND] cruel [IMPLY] intellectual [PERIOD]
cruel [AND] intellectual [AND] perfect [IMPLY] outrageous [PERIOD]
stupid [AND] frantic [AND] old-fashioned [IMPLY] comfortable [PERIOD]
stupid [AND] perfect [AND] cruel [IMPLY] intellectual [PERIOD]
tidy [AND] intellectual [IMPLY] stupid [PERIOD]
lucky [AND] comfortable [AND] old-fashioned [IMPLY] frantic [PERIOD]
outrageous [AND] thoughtful [IMPLY] dishonest [PERIOD]
perfect [AND] frantic [AND] impatient [IMPLY] scared [PERIOD]
scared [IMPLY] cruel [PERIOD]
thoughtful [AND] scared [IMPLY] cruel [PERIOD]
thoughtful [IMPLY] tidy [PERIOD]
perfect [IMPLY] old-fashioned [PERIOD]
frantic [IMPLY] comfortable [PERIOD]
fine [AND] dishonest [IMPLY] lucky [PERIOD]
intellectual [IMPLY] frantic [PERIOD]
cruel [IMPLY] fine [PERIOD]
perfect [AND] stupid [AND] fine [IMPLY] scared [PERIOD]
fine [AND] lucky [IMPLY] frantic [PERIOD]
stupid [AND] fine [AND] perfect [IMPLY] dishonest [PERIOD]
thoughtful [AND] impatient [IMPLY] stupid [PERIOD]
lucky [IMPLY] comfortable [PERIOD]
old-fashioned [AND] tidy [AND] lucky [IMPLY] frantic [PERIOD]
cruel [AND] tidy [AND] perfect [IMPLY] thoughtful [PERIOD]
scared [IMPLY] lucky [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
alert [AND] enchanting [IMPLY] hypocritical [PERIOD]
comfortable [AND] innocent [AND] impatient [IMPLY] enchanting [PERIOD]
innocent [IMPLY] loving [PERIOD]
witty [AND] loving [AND] impatient [IMPLY] inquisitive [PERIOD]
proud [IMPLY] hypocritical [PERIOD]
comfortable [IMPLY] horrible [PERIOD]
rational [IMPLY] light [PERIOD]
tired [IMPLY] old-fashioned [PERIOD]
comfortable [IMPLY] frail [PERIOD]
confident [AND] impatient [AND] hypocritical [IMPLY] plain [PERIOD]
light [AND] loving [IMPLY] confident [PERIOD]
frail [IMPLY] innocent [PERIOD]
old-fashioned [AND] comfortable [AND] impatient [IMPLY] inexpensive [PERIOD]
inexpensive [IMPLY] sensible [PERIOD]
inexpensive [IMPLY] gorgeous [PERIOD]
hypocritical [AND] disgusted [AND] tired [IMPLY] reserved [PERIOD]
light [AND] confident [IMPLY] plain [PERIOD]
inexpensive [IMPLY] confident [PERIOD]
impatient [AND] hypocritical [AND] innocent [IMPLY] light [PERIOD]
impatient [IMPLY] enchanting [PERIOD]
witty [AND] frail [AND] tense [IMPLY] light [PERIOD]
alert [AND] comfortable [IMPLY] sensible [PERIOD]
light [AND] rational [AND] frail [IMPLY] inexpensive [PERIOD]
confident [IMPLY] reserved [PERIOD]
tired [AND] old-fashioned [AND] horrible [IMPLY] light [PERIOD]
enchanting [AND] witty [IMPLY] proud [PERIOD]
innocent [IMPLY] proud [PERIOD]
old-fashioned [AND] enchanting [IMPLY] gorgeous [PERIOD]
careless [AND] old-fashioned [IMPLY] sensible [PERIOD]
confident [AND] reserved [IMPLY] comfortable [PERIOD]
plain [AND] confident [AND] witty [IMPLY] tired [PERIOD]
light [IMPLY] witty [PERIOD]
old-fashioned [AND] horrible [AND] careless [IMPLY] impatient [PERIOD]
innocent [IMPLY] tired [PERIOD]
hypocritical [AND] old-fashioned [AND] sensible [IMPLY] alert [PERIOD]
tired [AND] proud [IMPLY] frail [PERIOD]
tired [AND] sensible [IMPLY] inexpensive [PERIOD]
plain [AND] careless [AND] disgusted [IMPLY] reserved [PERIOD]
inexpensive [AND] horrible [AND] plain [IMPLY] frail [PERIOD]
plain [IMPLY] impatient [PERIOD]
perfect [AND] tired [AND] innocent [IMPLY] inquisitive [PERIOD]
impatient [AND] gorgeous [AND] alert [IMPLY] innocent [PERIOD]
alert [IMPLY] horrible [PERIOD]
hypocritical [IMPLY] old-fashioned [PERIOD]
hypocritical [AND] rational [AND] tired [IMPLY] sensible [PERIOD]
tense [AND] easy [IMPLY] innocent [PERIOD]
gorgeous [IMPLY] old-fashioned [PERIOD]
disgusted [AND] easy [IMPLY] witty [PERIOD]
worried [AND] gorgeous [AND] tense [IMPLY] plain [PERIOD]
easy [IMPLY] sensible [PERIOD]
reserved [IMPLY] plain [PERIOD]
frail [AND] tense [AND] gorgeous [IMPLY] proud [PERIOD]
plain [AND] hypocritical [AND] confident [IMPLY] witty [PERIOD]
plain [AND] tired [AND] confident [IMPLY] worried [PERIOD]
witty [AND] plain [IMPLY] alert [PERIOD]
worried [AND] plain [IMPLY] old-fashioned [PERIOD]
tense [AND] plain [IMPLY] careless [PERIOD]
reserved [IMPLY] careless [PERIOD]
worried [AND] inquisitive [IMPLY] confident [PERIOD]
alert [IMPLY] confident [PERIOD]
confident [AND] perfect [IMPLY] proud [PERIOD]
comfortable [AND] horrible [AND] witty [IMPLY] inquisitive [PERIOD]
plain [AND] frail [IMPLY] worried [PERIOD]
witty [IMPLY] light [PERIOD]
tired [AND] sensible [AND] witty [IMPLY] inexpensive [PERIOD]
careless [AND] disgusted [IMPLY] plain [PERIOD]
perfect [AND] impatient [IMPLY] frail [PERIOD]
easy [AND] reserved [IMPLY] careless [PERIOD]
alert [IMPLY] reserved [PERIOD]
comfortable [IMPLY] loving [PERIOD]
proud [AND] disgusted [IMPLY] inexpensive [PERIOD]
disgusted [AND] light [AND] confident [IMPLY] perfect [PERIOD]
frail [AND] tired [IMPLY] perfect [PERIOD]
perfect [IMPLY] loving [PERIOD]
alert [AND] confident [AND] worried [IMPLY] proud [PERIOD]
frail [AND] inexpensive [AND] tense [IMPLY] confident [PERIOD]
hypocritical [IMPLY] impatient [PERIOD]
plain [AND] worried [AND] alert [IMPLY] impatient [PERIOD]
loving [AND] inquisitive [AND] rational [IMPLY] alert [PERIOD]
hypocritical [AND] horrible [AND] confident [IMPLY] comfortable [PERIOD]
plain [IMPLY] witty [PERIOD]
worried [IMPLY] alert [PERIOD]
gorgeous [AND] perfect [AND] inexpensive [IMPLY] horrible [PERIOD]
tired [IMPLY] careless [PERIOD]
comfortable [AND] witty [AND] careless [IMPLY] innocent [PERIOD]
hypocritical [AND] proud [IMPLY] rational [PERIOD]
hypocritical [AND] plain [AND] light [IMPLY] sensible [PERIOD]
inquisitive [AND] enchanting [AND] inexpensive [IMPLY] loving [PERIOD]
disgusted [AND] perfect [AND] sensible [IMPLY] reserved [PERIOD]
perfect [AND] inexpensive [IMPLY] easy [PERIOD]
inquisitive [AND] disgusted [IMPLY] careless [PERIOD]
sensible [AND] rational [IMPLY] reserved [PERIOD]
tense [AND] impatient [IMPLY] careless [PERIOD]
enchanting [AND] disgusted [AND] comfortable [IMPLY] witty [PERIOD]
proud [IMPLY] gorgeous [PERIOD]
easy [IMPLY] horrible [PERIOD]
impatient [AND] proud [IMPLY] frail [PERIOD]
inexpensive [IMPLY] innocent [PERIOD]
perfect [IMPLY] confident [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   Cannot apply rule “comfortable ⇒ horrible” because missing: comfortable.
   Cannot apply rule “alert ⇒ horrible” because missing: alert.
   Cannot apply rule “gorgeous ∧ perfect ∧ inexpensive ⇒ horrible” because missing: gorgeous, perfect, inexpensive.
   Cannot apply rule “easy ⇒ horrible” because missing: easy.
",0,4
"Facts:  Alice is difficult [PERIOD] Alice is tense [PERIOD]
Rules:
straightforward [AND] jittery [IMPLY] broad-minded [PERIOD]
tense [IMPLY] messy [PERIOD]
shiny [AND] jittery [AND] straightforward [IMPLY] difficult [PERIOD]
dishonest [IMPLY] broad-minded [PERIOD]
difficult [AND] broad-minded [AND] messy [IMPLY] jittery [PERIOD]
messy [AND] jittery [IMPLY] tense [PERIOD]
broad-minded [AND] straightforward [IMPLY] messy [PERIOD]
broad-minded [AND] difficult [AND] messy [IMPLY] tense [PERIOD]
broad-minded [IMPLY] straightforward [PERIOD]
shiny [AND] messy [AND] broad-minded [IMPLY] dishonest [PERIOD]
jittery [IMPLY] shiny [PERIOD]
shiny [IMPLY] messy [PERIOD]
dishonest [AND] messy [IMPLY] tense [PERIOD]
jittery [AND] broad-minded [AND] tense [IMPLY] straightforward [PERIOD]
tense [AND] dishonest [AND] broad-minded [IMPLY] shiny [PERIOD]
messy [AND] straightforward [IMPLY] broad-minded [PERIOD]
straightforward [IMPLY] shiny [PERIOD]
difficult [AND] tense [IMPLY] broad-minded [PERIOD]
dishonest [AND] messy [AND] broad-minded [IMPLY] shiny [PERIOD]
messy [AND] difficult [AND] dishonest [IMPLY] jittery [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   difficult ∧ tense ⇒ broad-minded
   tense ⇒ messy
   difficult ∧ broad-minded ∧ messy ⇒ jittery
   jittery ⇒ shiny
   tense ⇒ messy
   difficult ∧ tense ⇒ broad-minded
   shiny ∧ messy ∧ broad-minded ⇒ dishonest
",1,7
"Facts: 
Rules:
wrong [IMPLY] cruel [PERIOD]
lonely [AND] ugly [AND] horrible [IMPLY] bad-tempered [PERIOD]
ugly [IMPLY] stubborn [PERIOD]
worried [AND] lonely [IMPLY] scared [PERIOD]
messy [IMPLY] wrong [PERIOD]
horrible [AND] innocent [AND] stormy [IMPLY] worried [PERIOD]
hurt [AND] stubborn [IMPLY] lonely [PERIOD]
scared [IMPLY] stubborn [PERIOD]
innocent [AND] quaint [AND] horrible [IMPLY] bad-tempered [PERIOD]
stubborn [AND] hurt [AND] scared [IMPLY] quaint [PERIOD]
shy [AND] stormy [IMPLY] outstanding [PERIOD]
exuberant [IMPLY] lonely [PERIOD]
bad-tempered [AND] stormy [IMPLY] lonely [PERIOD]
cruel [IMPLY] messy [PERIOD]
worried [AND] cruel [IMPLY] exuberant [PERIOD]
stormy [AND] messy [IMPLY] worried [PERIOD]
stubborn [IMPLY] innocent [PERIOD]
shy [IMPLY] cruel [PERIOD]
bright [AND] ugly [AND] quaint [IMPLY] innocent [PERIOD]
stubborn [AND] horrible [AND] cruel [IMPLY] ugly [PERIOD]
wrong [IMPLY] stubborn [PERIOD]
stormy [AND] wrong [IMPLY] stupid [PERIOD]
outstanding [AND] bad-tempered [AND] ugly [IMPLY] stormy [PERIOD]
stubborn [AND] innocent [IMPLY] cruel [PERIOD]
stupid [AND] quaint [AND] worried [IMPLY] exuberant [PERIOD]
scared [AND] shy [IMPLY] wrong [PERIOD]
stubborn [AND] wrong [IMPLY] shy [PERIOD]
worried [AND] cruel [AND] horrible [IMPLY] stormy [PERIOD]
exuberant [AND] wrong [IMPLY] innocent [PERIOD]
stubborn [AND] worried [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] cruel [AND] hurt [IMPLY] ugly [PERIOD]
shy [AND] messy [IMPLY] stupid [PERIOD]
ugly [AND] outstanding [IMPLY] scared [PERIOD]
horrible [AND] ugly [IMPLY] exuberant [PERIOD]
bad-tempered [AND] messy [IMPLY] stupid [PERIOD]
quaint [AND] innocent [AND] horrible [IMPLY] hurt [PERIOD]
exuberant [AND] wrong [IMPLY] stormy [PERIOD]
lonely [IMPLY] messy [PERIOD]
stupid [AND] cruel [AND] outstanding [IMPLY] shy [PERIOD]
outstanding [IMPLY] shy [PERIOD]
innocent [AND] stubborn [IMPLY] worried [PERIOD]
messy [AND] wrong [IMPLY] cruel [PERIOD]
wrong [AND] cruel [AND] worried [IMPLY] stormy [PERIOD]
bad-tempered [AND] cruel [AND] shy [IMPLY] stupid [PERIOD]
innocent [AND] wrong [IMPLY] bad-tempered [PERIOD]
innocent [AND] horrible [AND] stormy [IMPLY] stupid [PERIOD]
horrible [AND] bad-tempered [IMPLY] ugly [PERIOD]
horrible [AND] messy [IMPLY] worried [PERIOD]
stormy [AND] shy [IMPLY] scared [PERIOD]
bad-tempered [IMPLY] worried [PERIOD]
stubborn [AND] stupid [AND] scared [IMPLY] cruel [PERIOD]
stormy [AND] stubborn [AND] outstanding [IMPLY] bad-tempered [PERIOD]
stormy [IMPLY] horrible [PERIOD]
hurt [IMPLY] shy [PERIOD]
cruel [AND] ugly [AND] quaint [IMPLY] scared [PERIOD]
cruel [AND] shy [AND] wrong [IMPLY] scared [PERIOD]
quaint [IMPLY] messy [PERIOD]
scared [IMPLY] innocent [PERIOD]
lonely [AND] bright [AND] hurt [IMPLY] stubborn [PERIOD]
lonely [AND] outstanding [IMPLY] quaint [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
   Cannot apply rule “hurt ∧ stubborn ⇒ lonely” because missing: hurt, stubborn.
   Cannot apply rule “exuberant ⇒ lonely” because missing: exuberant.
   Cannot apply rule “bad-tempered ∧ stormy ⇒ lonely” because missing: bad-tempered, stormy.
",0,3
"Facts:  Alice is condemned [PERIOD] Alice is fine [PERIOD] Alice is hilarious [PERIOD] Alice is uptight [PERIOD] Alice is clumsy [PERIOD]
Rules:
busy [AND] elegant [AND] uptight [IMPLY] anxious [PERIOD]
sensible [AND] joyous [AND] anxious [IMPLY] hilarious [PERIOD]
muddy [AND] fine [IMPLY] bright [PERIOD]
calm [IMPLY] scared [PERIOD]
serious [IMPLY] attractive [PERIOD]
fine [AND] sensible [AND] ugly [IMPLY] mysterious [PERIOD]
naughty [AND] hilarious [AND] ugly [IMPLY] attractive [PERIOD]
busy [AND] difficult [IMPLY] muddy [PERIOD]
scared [AND] sincere [IMPLY] sensible [PERIOD]
joyous [IMPLY] ugly [PERIOD]
joyous [AND] muddy [IMPLY] spotless [PERIOD]
joyous [IMPLY] attractive [PERIOD]
loving [IMPLY] uptight [PERIOD]
muddy [IMPLY] busy [PERIOD]
clean [IMPLY] exuberant [PERIOD]
clumsy [IMPLY] hilarious [PERIOD]
muddy [IMPLY] uptight [PERIOD]
clean [AND] busy [IMPLY] mysterious [PERIOD]
mysterious [AND] sincere [AND] anxious [IMPLY] exuberant [PERIOD]
mysterious [AND] clean [IMPLY] ugly [PERIOD]
scared [AND] confident [IMPLY] clean [PERIOD]
attractive [AND] loving [AND] condemned [IMPLY] mysterious [PERIOD]
calm [AND] joyous [AND] hilarious [IMPLY] difficult [PERIOD]
blushing [IMPLY] naughty [PERIOD]
proud [AND] confident [AND] busy [IMPLY] joyous [PERIOD]
sensible [IMPLY] clean [PERIOD]
mysterious [AND] proud [AND] condemned [IMPLY] fine [PERIOD]
mysterious [AND] sincere [IMPLY] condemned [PERIOD]
exuberant [AND] ugly [IMPLY] anxious [PERIOD]
bright [AND] confident [AND] blushing [IMPLY] difficult [PERIOD]
serious [AND] naughty [IMPLY] blushing [PERIOD]
naughty [IMPLY] sensible [PERIOD]
mysterious [AND] loving [AND] naughty [IMPLY] sincere [PERIOD]
elegant [AND] muddy [IMPLY] ugly [PERIOD]
busy [AND] spotless [AND] joyous [IMPLY] confident [PERIOD]
elegant [IMPLY] joyous [PERIOD]
elegant [AND] fine [IMPLY] calm [PERIOD]
bright [IMPLY] fine [PERIOD]
elegant [AND] anxious [AND] difficult [IMPLY] confident [PERIOD]
uptight [AND] clean [IMPLY] condemned [PERIOD]
naughty [AND] proud [IMPLY] fine [PERIOD]
fine [AND] naughty [AND] condemned [IMPLY] spotless [PERIOD]
uptight [AND] proud [AND] fine [IMPLY] elegant [PERIOD]
confident [AND] proud [IMPLY] sensible [PERIOD]
scared [AND] difficult [IMPLY] ugly [PERIOD]
hilarious [AND] busy [IMPLY] ugly [PERIOD]
muddy [AND] clumsy [IMPLY] difficult [PERIOD]
blushing [AND] anxious [AND] muddy [IMPLY] confident [PERIOD]
bright [IMPLY] loving [PERIOD]
sincere [AND] elegant [AND] uptight [IMPLY] proud [PERIOD]
exuberant [AND] loving [IMPLY] clean [PERIOD]
fine [IMPLY] sincere [PERIOD]
busy [AND] ugly [IMPLY] elegant [PERIOD]
condemned [IMPLY] sincere [PERIOD]
uptight [AND] anxious [IMPLY] elegant [PERIOD]
loving [AND] sensible [AND] calm [IMPLY] fine [PERIOD]
fine [AND] spotless [AND] condemned [IMPLY] serious [PERIOD]
hilarious [IMPLY] proud [PERIOD]
bad-tempered [IMPLY] bright [PERIOD]
uptight [AND] fine [AND] clumsy [IMPLY] scared [PERIOD]
sensible [AND] joyous [AND] ugly [IMPLY] blushing [PERIOD]
naughty [IMPLY] elegant [PERIOD]
naughty [IMPLY] anxious [PERIOD]
condemned [AND] attractive [AND] clean [IMPLY] sensible [PERIOD]
loving [AND] exuberant [IMPLY] attractive [PERIOD]
sensible [AND] difficult [IMPLY] uptight [PERIOD]
ugly [AND] busy [AND] mysterious [IMPLY] naughty [PERIOD]
anxious [AND] exuberant [AND] bad-tempered [IMPLY] condemned [PERIOD]
attractive [AND] confident [AND] calm [IMPLY] elegant [PERIOD]
blushing [AND] serious [IMPLY] fine [PERIOD]
exuberant [AND] mysterious [AND] clumsy [IMPLY] attractive [PERIOD]
serious [AND] elegant [AND] proud [IMPLY] condemned [PERIOD]
spotless [AND] loving [IMPLY] joyous [PERIOD]
uptight [AND] loving [IMPLY] mysterious [PERIOD]
calm [IMPLY] sincere [PERIOD]
ugly [AND] attractive [IMPLY] hilarious [PERIOD]
difficult [IMPLY] condemned [PERIOD]
bad-tempered [AND] exuberant [IMPLY] ugly [PERIOD]
loving [AND] sensible [AND] ugly [IMPLY] difficult [PERIOD]
attractive [AND] muddy [IMPLY] scared [PERIOD]
spotless [IMPLY] scared [PERIOD]
clumsy [AND] fine [AND] difficult [IMPLY] confident [PERIOD]
uptight [IMPLY] muddy [PERIOD]
sincere [AND] mysterious [IMPLY] uptight [PERIOD]
ugly [IMPLY] confident [PERIOD]
hilarious [AND] attractive [IMPLY] confident [PERIOD]
serious [IMPLY] spotless [PERIOD]
mysterious [AND] naughty [IMPLY] busy [PERIOD]
blushing [AND] ugly [IMPLY] mysterious [PERIOD]
clumsy [IMPLY] exuberant [PERIOD]
attractive [AND] uptight [AND] serious [IMPLY] anxious [PERIOD]
clumsy [AND] condemned [AND] fine [IMPLY] bad-tempered [PERIOD]
ugly [IMPLY] scared [PERIOD]
fine [AND] attractive [AND] busy [IMPLY] sensible [PERIOD]
busy [AND] bad-tempered [AND] confident [IMPLY] bright [PERIOD]
joyous [AND] difficult [AND] proud [IMPLY] bad-tempered [PERIOD]
loving [IMPLY] scared [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   hilarious ⇒ proud
   uptight ∧ proud ∧ fine ⇒ elegant
   elegant ⇒ joyous
   uptight ⇒ muddy
   joyous ∧ muddy ⇒ spotless
   fine ∧ spotless ∧ condemned ⇒ serious
",1,6
"Facts:  Alice is horrible [PERIOD] Alice is outrageous [PERIOD] Alice is excited [PERIOD]
Rules:
ugliest [AND] aggressive [AND] wandering [IMPLY] bored [PERIOD]
excited [AND] aggressive [IMPLY] shy [PERIOD]
aggressive [IMPLY] talented [PERIOD]
supportive [AND] pleasant [IMPLY] difficult [PERIOD]
ambitious [AND] pleasant [AND] easy [IMPLY] horrible [PERIOD]
lucky [AND] talkative [IMPLY] shy [PERIOD]
pleasant [AND] horrible [AND] outstanding [IMPLY] ugliest [PERIOD]
bored [IMPLY] outrageous [PERIOD]
loving [IMPLY] lucky [PERIOD]
pleasant [IMPLY] supportive [PERIOD]
outrageous [IMPLY] ugliest [PERIOD]
lucky [AND] straightforward [AND] ambitious [IMPLY] outstanding [PERIOD]
talkative [AND] dull [AND] lucky [IMPLY] outstanding [PERIOD]
pleasant [IMPLY] bored [PERIOD]
difficult [AND] outrageous [AND] wandering [IMPLY] talented [PERIOD]
lucky [AND] excited [AND] pleasant [IMPLY] loving [PERIOD]
outrageous [AND] outstanding [IMPLY] bored [PERIOD]
outrageous [IMPLY] lucky [PERIOD]
excited [IMPLY] loving [PERIOD]
outrageous [AND] aggressive [IMPLY] horrible [PERIOD]
difficult [AND] talkative [IMPLY] easy [PERIOD]
pleasant [AND] supportive [AND] shy [IMPLY] inexpensive [PERIOD]
outstanding [IMPLY] lucky [PERIOD]
easy [AND] horrible [AND] outrageous [IMPLY] excited [PERIOD]
shy [AND] wandering [IMPLY] pleasant [PERIOD]
difficult [AND] ambitious [AND] ugliest [IMPLY] lucky [PERIOD]
inexpensive [AND] excited [IMPLY] ambitious [PERIOD]
ambitious [AND] pleasant [AND] dull [IMPLY] outstanding [PERIOD]
pleasant [IMPLY] ambitious [PERIOD]
wandering [AND] pleasant [IMPLY] aggressive [PERIOD]
easy [AND] supportive [AND] horrible [IMPLY] talkative [PERIOD]
talkative [AND] dull [IMPLY] shy [PERIOD]
lucky [IMPLY] wandering [PERIOD]
excited [AND] difficult [AND] ambitious [IMPLY] lucky [PERIOD]
talented [IMPLY] ugliest [PERIOD]
bored [IMPLY] excited [PERIOD]
talkative [AND] dull [AND] bored [IMPLY] straightforward [PERIOD]
supportive [IMPLY] horrible [PERIOD]
excited [AND] bored [AND] shy [IMPLY] straightforward [PERIOD]
outstanding [IMPLY] excited [PERIOD]
talkative [AND] difficult [IMPLY] outrageous [PERIOD]
difficult [AND] inexpensive [AND] excited [IMPLY] lucky [PERIOD]
straightforward [IMPLY] ambitious [PERIOD]
aggressive [AND] wandering [IMPLY] supportive [PERIOD]
bored [IMPLY] supportive [PERIOD]
easy [IMPLY] dull [PERIOD]
inexpensive [AND] dull [IMPLY] easy [PERIOD]
aggressive [AND] straightforward [IMPLY] talkative [PERIOD]
outstanding [IMPLY] inexpensive [PERIOD]
inexpensive [AND] shy [IMPLY] wandering [PERIOD]
shy [AND] loving [AND] wandering [IMPLY] outstanding [PERIOD]
horrible [AND] talented [AND] difficult [IMPLY] pleasant [PERIOD]
bored [IMPLY] straightforward [PERIOD]
loving [IMPLY] wandering [PERIOD]
dull [AND] aggressive [IMPLY] easy [PERIOD]
talented [AND] ambitious [AND] wandering [IMPLY] ugliest [PERIOD]
talkative [AND] straightforward [AND] pleasant [IMPLY] shy [PERIOD]
outstanding [IMPLY] difficult [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   Cannot apply rule “excited ∧ aggressive ⇒ shy” because missing: aggressive.
   outrageous ⇒ lucky
   Cannot apply rule “lucky ∧ talkative ⇒ shy” because missing: talkative.
   Cannot apply rule “talkative ∧ dull ⇒ shy” because missing: talkative, dull.
   Cannot apply rule “talkative ∧ straightforward ∧ pleasant ⇒ shy” because missing: talkative, straightforward, pleasant.
",0,5
"Facts:  Alice is ugly [PERIOD]
Rules:
precious [AND] sleepy [AND] ugly [IMPLY] comfortable [PERIOD]
loving [AND] popular [AND] average [IMPLY] bored [PERIOD]
elated [AND] sleepy [AND] anxious [IMPLY] pleasant [PERIOD]
comfortable [AND] wandering [IMPLY] careless [PERIOD]
victorious [AND] precious [AND] bored [IMPLY] comfortable [PERIOD]
rude [IMPLY] pleasant [PERIOD]
pleasant [AND] wandering [AND] bored [IMPLY] average [PERIOD]
victorious [AND] frightened [AND] rude [IMPLY] precious [PERIOD]
loving [AND] average [AND] popular [IMPLY] victorious [PERIOD]
frightened [AND] ugly [AND] rude [IMPLY] pleasant [PERIOD]
frightened [IMPLY] careless [PERIOD]
loving [IMPLY] elated [PERIOD]
frightened [AND] loving [AND] bored [IMPLY] sleepy [PERIOD]
sleepy [AND] victorious [IMPLY] bored [PERIOD]
pleasant [AND] victorious [IMPLY] popular [PERIOD]
frightened [IMPLY] wandering [PERIOD]
precious [AND] average [AND] rude [IMPLY] frightened [PERIOD]
average [AND] victorious [IMPLY] precious [PERIOD]
rude [AND] careless [AND] loving [IMPLY] wandering [PERIOD]
frightened [AND] sleepy [AND] loving [IMPLY] comfortable [PERIOD]
loving [AND] precious [IMPLY] anxious [PERIOD]
comfortable [IMPLY] popular [PERIOD]
frightened [AND] popular [IMPLY] loving [PERIOD]
ugly [IMPLY] popular [PERIOD]
wandering [AND] sleepy [AND] anxious [IMPLY] average [PERIOD]
bored [IMPLY] victorious [PERIOD]
frightened [IMPLY] anxious [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   Cannot apply rule “precious ∧ sleepy ∧ ugly ⇒ comfortable” because missing: precious, sleepy.
   Cannot apply rule “victorious ∧ precious ∧ bored ⇒ comfortable” because missing: victorious, precious, bored.
   Cannot apply rule “frightened ∧ sleepy ∧ loving ⇒ comfortable” because missing: frightened, sleepy, loving.
",0,3
"Facts: 
Rules:
plain [AND] embarrassed [AND] versatile [IMPLY] agreeable [PERIOD]
inexpensive [AND] smart [IMPLY] versatile [PERIOD]
plain [AND] agreeable [AND] embarrassed [IMPLY] wandering [PERIOD]
wandering [AND] inexpensive [AND] embarrassed [IMPLY] plain [PERIOD]
inexpensive [AND] embarrassed [IMPLY] plain [PERIOD]
embarrassed [IMPLY] plain [PERIOD]
versatile [IMPLY] plain [PERIOD]
agreeable [IMPLY] smart [PERIOD]
versatile [AND] embarrassed [AND] inexpensive [IMPLY] plain [PERIOD]
inexpensive [AND] embarrassed [AND] versatile [IMPLY] agreeable [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   Cannot apply rule “wandering ∧ inexpensive ∧ embarrassed ⇒ plain” because missing: wandering, inexpensive, embarrassed.
   Cannot apply rule “inexpensive ∧ embarrassed ⇒ plain” because missing: inexpensive, embarrassed.
   Cannot apply rule “embarrassed ⇒ plain” because missing: embarrassed.
   Cannot apply rule “versatile ⇒ plain” because missing: versatile.
   Cannot apply rule “versatile ∧ embarrassed ∧ inexpensive ⇒ plain” because missing: versatile, embarrassed, inexpensive.
",0,5
"Facts: 
Rules:
selfish [AND] famous [AND] difficult [IMPLY] courageous [PERIOD]
precious [IMPLY] selfish [PERIOD]
selfish [AND] courageous [IMPLY] precious [PERIOD]
famous [IMPLY] precious [PERIOD]
courageous [IMPLY] wandering [PERIOD]
famous [AND] selfish [AND] courageous [IMPLY] difficult [PERIOD]
difficult [AND] courageous [IMPLY] precious [PERIOD]
selfish [AND] courageous [IMPLY] famous [PERIOD]
famous [AND] wandering [AND] difficult [IMPLY] courageous [PERIOD]
famous [AND] courageous [IMPLY] precious [PERIOD]
precious [IMPLY] difficult [PERIOD]
famous [AND] difficult [IMPLY] precious [PERIOD]
difficult [IMPLY] courageous [PERIOD]
precious [IMPLY] famous [PERIOD]
wandering [AND] precious [AND] difficult [IMPLY] famous [PERIOD]
difficult [AND] precious [IMPLY] famous [PERIOD]
famous [AND] difficult [AND] selfish [IMPLY] wandering [PERIOD]
famous [IMPLY] wandering [PERIOD]
selfish [AND] wandering [IMPLY] difficult [PERIOD]
selfish [AND] courageous [AND] wandering [IMPLY] precious [PERIOD]
famous [AND] wandering [IMPLY] courageous [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   Cannot apply rule “selfish ∧ famous ∧ difficult ⇒ courageous” because missing: selfish, famous, difficult.
   Cannot apply rule “famous ∧ wandering ∧ difficult ⇒ courageous” because missing: famous, wandering, difficult.
   Cannot apply rule “difficult ⇒ courageous” because missing: difficult.
   Cannot apply rule “famous ∧ wandering ⇒ courageous” because missing: famous, wandering.
",0,4
"Facts:  Alice is gorgeous [PERIOD] Alice is cooperative [PERIOD] Alice is lonely [PERIOD] Alice is broad-minded [PERIOD] Alice is straightforward [PERIOD]
Rules:
gifted [AND] rational [IMPLY] fancy [PERIOD]
fancy [AND] broad-minded [IMPLY] attentive [PERIOD]
lonely [AND] elated [IMPLY] fancy [PERIOD]
gorgeous [AND] elated [AND] tidy [IMPLY] cooperative [PERIOD]
rational [AND] tidy [IMPLY] curious [PERIOD]
agreeable [AND] horrible [IMPLY] attentive [PERIOD]
attentive [AND] straightforward [AND] gorgeous [IMPLY] dull [PERIOD]
bored [AND] attentive [IMPLY] fancy [PERIOD]
tidy [AND] tired [IMPLY] horrible [PERIOD]
versatile [AND] agreeable [AND] elated [IMPLY] tender [PERIOD]
agreeable [AND] straightforward [IMPLY] horrible [PERIOD]
gifted [IMPLY] attentive [PERIOD]
bored [IMPLY] stormy [PERIOD]
versatile [AND] bored [AND] elated [IMPLY] broad-minded [PERIOD]
fancy [AND] bored [AND] elated [IMPLY] attentive [PERIOD]
straightforward [AND] agreeable [AND] gifted [IMPLY] stormy [PERIOD]
stormy [AND] diplomatic [AND] lonely [IMPLY] attentive [PERIOD]
disgusted [AND] tender [IMPLY] attentive [PERIOD]
curious [AND] versatile [IMPLY] agreeable [PERIOD]
tidy [AND] bored [AND] cooperative [IMPLY] attentive [PERIOD]
attentive [AND] curious [AND] rational [IMPLY] elated [PERIOD]
stormy [IMPLY] straightforward [PERIOD]
attentive [IMPLY] dull [PERIOD]
diplomatic [AND] tender [AND] versatile [IMPLY] agreeable [PERIOD]
straightforward [AND] tired [IMPLY] tidy [PERIOD]
rational [IMPLY] curious [PERIOD]
fancy [AND] diplomatic [AND] rational [IMPLY] stormy [PERIOD]
versatile [IMPLY] disgusted [PERIOD]
attentive [AND] cooperative [AND] broad-minded [IMPLY] tired [PERIOD]
tired [IMPLY] disgusted [PERIOD]
broad-minded [AND] fancy [IMPLY] stormy [PERIOD]
horrible [IMPLY] diplomatic [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   Cannot apply rule “bored ⇒ stormy” because missing: bored.
   Cannot apply rule “straightforward ∧ agreeable ∧ gifted ⇒ stormy” because missing: agreeable, gifted.
   Cannot apply rule “fancy ∧ diplomatic ∧ rational ⇒ stormy” because missing: fancy, diplomatic, rational.
   Cannot apply rule “broad-minded ∧ fancy ⇒ stormy” because missing: fancy.
",0,4
"Facts:  Alice is charming [PERIOD] Alice is ambitious [PERIOD] Alice is light [PERIOD] Alice is rational [PERIOD] Alice is ugliest [PERIOD] Alice is enchanting [PERIOD] Alice is mean [PERIOD] Alice is selfish [PERIOD] Alice is quaint [PERIOD] Alice is fearless [PERIOD] Alice is average [PERIOD] Alice is gorgeous [PERIOD] Alice is diplomatic [PERIOD] Alice is mysterious [PERIOD] Alice is adorable [PERIOD] Alice is elegant [PERIOD]
Rules:
average [IMPLY] elegant [PERIOD]
average [AND] enchanting [IMPLY] gorgeous [PERIOD]
rational [IMPLY] adorable [PERIOD]
smart [AND] impatient [IMPLY] diplomatic [PERIOD]
cruel [AND] attentive [AND] mysterious [IMPLY] enchanting [PERIOD]
intellectual [IMPLY] ambitious [PERIOD]
helpful [AND] cruel [AND] ambitious [IMPLY] adorable [PERIOD]
fearless [IMPLY] rational [PERIOD]
light [IMPLY] mean [PERIOD]
enchanting [IMPLY] diplomatic [PERIOD]
attentive [IMPLY] mysterious [PERIOD]
rational [IMPLY] smart [PERIOD]
enchanting [AND] diplomatic [AND] cruel [IMPLY] charming [PERIOD]
smart [AND] impatient [AND] gorgeous [IMPLY] quaint [PERIOD]
smart [AND] impatient [AND] adorable [IMPLY] cruel [PERIOD]
cruel [AND] intellectual [AND] rational [IMPLY] impatient [PERIOD]
adorable [AND] light [AND] elegant [IMPLY] smart [PERIOD]
diplomatic [AND] cruel [AND] ambitious [IMPLY] enchanting [PERIOD]
mysterious [AND] ugliest [IMPLY] mean [PERIOD]
elegant [IMPLY] attentive [PERIOD]
rational [AND] ambitious [IMPLY] helpful [PERIOD]
cruel [IMPLY] selfish [PERIOD]
mean [AND] intellectual [IMPLY] diplomatic [PERIOD]
diplomatic [IMPLY] mysterious [PERIOD]
quaint [AND] rational [AND] mean [IMPLY] selfish [PERIOD]
attentive [IMPLY] ugliest [PERIOD]
ugliest [AND] selfish [AND] intellectual [IMPLY] gorgeous [PERIOD]
diplomatic [AND] enchanting [IMPLY] ambitious [PERIOD]
selfish [IMPLY] elegant [PERIOD]
mysterious [AND] adorable [IMPLY] helpful [PERIOD]
intellectual [AND] gorgeous [AND] mean [IMPLY] elegant [PERIOD]
rational [AND] enchanting [IMPLY] selfish [PERIOD]
intellectual [AND] ugliest [AND] enchanting [IMPLY] impatient [PERIOD]
enchanting [AND] ugliest [IMPLY] mean [PERIOD]
average [AND] intellectual [IMPLY] ugliest [PERIOD]
rational [AND] horrible [AND] selfish [IMPLY] light [PERIOD]
light [AND] fearless [IMPLY] ugliest [PERIOD]
mean [AND] fearless [AND] cruel [IMPLY] helpful [PERIOD]
Query: Alice is cruel [PERIOD]","Proof chain:
   adorable ∧ light ∧ elegant ⇒ smart
   Cannot apply rule “smart ∧ impatient ∧ adorable ⇒ cruel” because missing: impatient.
",0,2
"Facts:  Alice is adorable [PERIOD]
Rules:
aggressive [IMPLY] loving [PERIOD]
cooperative [AND] worrisome [IMPLY] elegant [PERIOD]
worrisome [IMPLY] fine [PERIOD]
fragile [AND] friendly [IMPLY] elegant [PERIOD]
outstanding [IMPLY] elegant [PERIOD]
courageous [IMPLY] worrisome [PERIOD]
fancy [AND] mysterious [IMPLY] cooperative [PERIOD]
anxious [AND] outstanding [IMPLY] fragile [PERIOD]
attractive [AND] dull [AND] busy [IMPLY] mysterious [PERIOD]
enchanting [AND] shiny [IMPLY] loving [PERIOD]
aggressive [AND] shiny [IMPLY] anxious [PERIOD]
ugly [IMPLY] adorable [PERIOD]
fine [IMPLY] ugly [PERIOD]
naughty [IMPLY] fine [PERIOD]
adorable [AND] courageous [AND] attractive [IMPLY] distinct [PERIOD]
busy [AND] helpless [AND] friendly [IMPLY] enchanting [PERIOD]
aggressive [AND] fancy [IMPLY] adorable [PERIOD]
cooperative [IMPLY] fancy [PERIOD]
messy [IMPLY] outstanding [PERIOD]
shiny [AND] fragile [AND] fine [IMPLY] ugly [PERIOD]
elegant [AND] distinct [AND] worrisome [IMPLY] loving [PERIOD]
messy [AND] dull [IMPLY] fancy [PERIOD]
fancy [AND] courageous [IMPLY] busy [PERIOD]
naughty [IMPLY] adorable [PERIOD]
dull [AND] fragile [AND] ugly [IMPLY] worrisome [PERIOD]
helpless [AND] outstanding [IMPLY] loving [PERIOD]
messy [AND] elegant [IMPLY] attractive [PERIOD]
anxious [AND] ugly [AND] messy [IMPLY] fine [PERIOD]
distinct [IMPLY] shiny [PERIOD]
elegant [IMPLY] outstanding [PERIOD]
friendly [AND] naughty [AND] courageous [IMPLY] fancy [PERIOD]
rational [IMPLY] fancy [PERIOD]
helpless [AND] naughty [IMPLY] fancy [PERIOD]
friendly [AND] messy [AND] fancy [IMPLY] shiny [PERIOD]
busy [AND] shiny [IMPLY] elegant [PERIOD]
courageous [IMPLY] fancy [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   Cannot apply rule “worrisome ⇒ fine” because missing: worrisome.
   Cannot apply rule “naughty ⇒ fine” because missing: naughty.
   Cannot apply rule “anxious ∧ ugly ∧ messy ⇒ fine” because missing: anxious, ugly, messy.
",0,3
"Facts:  Alice is silly [PERIOD] Alice is gleaming [PERIOD] Alice is aggressive [PERIOD] Alice is courageous [PERIOD] Alice is impartial [PERIOD] Alice is bright [PERIOD] Alice is strange [PERIOD] Alice is attentive [PERIOD] Alice is troubled [PERIOD] Alice is unpleasant [PERIOD]
Rules:
mean [IMPLY] silly [PERIOD]
precious [AND] attentive [AND] homely [IMPLY] alert [PERIOD]
unpleasant [AND] aggressive [IMPLY] busy [PERIOD]
broad-minded [AND] courageous [IMPLY] impartial [PERIOD]
mysterious [IMPLY] bright [PERIOD]
attentive [AND] horrible [AND] frightened [IMPLY] alert [PERIOD]
homely [AND] busy [IMPLY] courageous [PERIOD]
talented [AND] popular [AND] strange [IMPLY] tame [PERIOD]
horrible [AND] homely [IMPLY] tense [PERIOD]
alert [AND] tame [IMPLY] horrible [PERIOD]
busy [AND] bright [AND] horrible [IMPLY] strange [PERIOD]
aggressive [AND] mysterious [IMPLY] rational [PERIOD]
mysterious [AND] horrible [IMPLY] tame [PERIOD]
troubled [AND] frightened [AND] alert [IMPLY] courageous [PERIOD]
foolish [AND] unpleasant [AND] busy [IMPLY] courageous [PERIOD]
busy [IMPLY] bright [PERIOD]
weary [AND] talented [IMPLY] disgusted [PERIOD]
jittery [AND] bright [IMPLY] mysterious [PERIOD]
busy [IMPLY] inexpensive [PERIOD]
busy [IMPLY] talented [PERIOD]
alert [IMPLY] bright [PERIOD]
disgusted [AND] jittery [IMPLY] precious [PERIOD]
tame [AND] homely [IMPLY] silly [PERIOD]
homely [AND] broad-minded [IMPLY] popular [PERIOD]
bright [IMPLY] strange [PERIOD]
tame [AND] mean [AND] broad-minded [IMPLY] aggressive [PERIOD]
aggressive [AND] tame [AND] unpleasant [IMPLY] foolish [PERIOD]
gleaming [AND] silly [AND] aggressive [IMPLY] foolish [PERIOD]
foolish [AND] impartial [AND] inexpensive [IMPLY] popular [PERIOD]
Query: Alice is popular [PERIOD]","Proof chain:
   gleaming ∧ silly ∧ aggressive ⇒ foolish
   unpleasant ∧ aggressive ⇒ busy
   busy ⇒ inexpensive
   foolish ∧ impartial ∧ inexpensive ⇒ popular
",1,4
"Facts: 
Rules:
wandering [AND] combative [AND] bossy [IMPLY] inexpensive [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   No rule concludes “wandering.”
",0,1
"Facts:  Alice is confident [PERIOD] Alice is diplomatic [PERIOD] Alice is bad-tempered [PERIOD] Alice is bright [PERIOD] Alice is condemned [PERIOD]
Rules:
bright [AND] diplomatic [AND] bossy [IMPLY] bad-tempered [PERIOD]
confident [AND] condemned [AND] bossy [IMPLY] diplomatic [PERIOD]
diplomatic [AND] confident [IMPLY] gleaming [PERIOD]
diplomatic [AND] bossy [IMPLY] bright [PERIOD]
diplomatic [IMPLY] confident [PERIOD]
gleaming [AND] bossy [AND] bad-tempered [IMPLY] confident [PERIOD]
bossy [IMPLY] bright [PERIOD]
bright [IMPLY] bossy [PERIOD]
Query: Alice is gleaming [PERIOD]","Proof chain:
   diplomatic ∧ confident ⇒ gleaming
",1,1
"Facts:  Alice is confused [PERIOD] Alice is modern [PERIOD] Alice is combative [PERIOD] Alice is frantic [PERIOD] Alice is dull [PERIOD] Alice is average [PERIOD] Alice is courageous [PERIOD] Alice is precious [PERIOD] Alice is busy [PERIOD] Alice is glamorous [PERIOD]
Rules:
talkative [IMPLY] lonely [PERIOD]
light [AND] talkative [IMPLY] agreeable [PERIOD]
courageous [AND] proud [AND] thoughtless [IMPLY] combative [PERIOD]
cruel [AND] elated [AND] reserved [IMPLY] worried [PERIOD]
talkative [AND] frail [AND] excited [IMPLY] thoughtless [PERIOD]
cruel [IMPLY] dull [PERIOD]
reserved [AND] excited [IMPLY] average [PERIOD]
wrong [IMPLY] elated [PERIOD]
frail [IMPLY] excited [PERIOD]
modern [AND] courageous [AND] tidy [IMPLY] light [PERIOD]
hurt [AND] average [AND] worried [IMPLY] busy [PERIOD]
combative [AND] tidy [AND] frantic [IMPLY] frail [PERIOD]
thoughtless [AND] attentive [AND] proud [IMPLY] hurt [PERIOD]
confused [AND] wrong [AND] average [IMPLY] combative [PERIOD]
excited [IMPLY] glamorous [PERIOD]
combative [IMPLY] hurt [PERIOD]
plain [AND] modern [IMPLY] reserved [PERIOD]
modern [IMPLY] frail [PERIOD]
agreeable [AND] wrong [AND] tired [IMPLY] plain [PERIOD]
tired [AND] modern [IMPLY] talkative [PERIOD]
attractive [IMPLY] combative [PERIOD]
modern [AND] tired [AND] thoughtless [IMPLY] frantic [PERIOD]
lonely [AND] courageous [AND] hurt [IMPLY] average [PERIOD]
thoughtless [IMPLY] agreeable [PERIOD]
agreeable [AND] thoughtless [IMPLY] worried [PERIOD]
proud [AND] tidy [AND] plain [IMPLY] combative [PERIOD]
agreeable [AND] cruel [IMPLY] attentive [PERIOD]
wrong [AND] talkative [IMPLY] modern [PERIOD]
lonely [IMPLY] cruel [PERIOD]
worried [AND] proud [IMPLY] modern [PERIOD]
agreeable [IMPLY] glamorous [PERIOD]
thoughtless [IMPLY] frantic [PERIOD]
dull [AND] agreeable [IMPLY] reserved [PERIOD]
confused [AND] courageous [AND] elated [IMPLY] dull [PERIOD]
attractive [IMPLY] agreeable [PERIOD]
cruel [IMPLY] elated [PERIOD]
light [AND] hurt [AND] tired [IMPLY] combative [PERIOD]
average [AND] combative [IMPLY] tired [PERIOD]
lonely [AND] thoughtless [AND] cruel [IMPLY] worried [PERIOD]
excited [AND] agreeable [IMPLY] elated [PERIOD]
frantic [AND] hurt [AND] attractive [IMPLY] lonely [PERIOD]
lonely [AND] reserved [IMPLY] tired [PERIOD]
courageous [AND] plain [AND] frantic [IMPLY] cruel [PERIOD]
tidy [IMPLY] dull [PERIOD]
busy [AND] excited [IMPLY] glamorous [PERIOD]
attractive [AND] proud [IMPLY] reserved [PERIOD]
tired [IMPLY] attractive [PERIOD]
precious [IMPLY] cruel [PERIOD]
attractive [AND] glamorous [AND] modern [IMPLY] excited [PERIOD]
agreeable [AND] tidy [AND] lonely [IMPLY] worried [PERIOD]
busy [AND] elated [IMPLY] attentive [PERIOD]
agreeable [AND] wrong [IMPLY] light [PERIOD]
tired [AND] thoughtless [IMPLY] talkative [PERIOD]
thoughtless [IMPLY] average [PERIOD]
glamorous [AND] average [IMPLY] confused [PERIOD]
light [AND] proud [AND] elated [IMPLY] combative [PERIOD]
attractive [AND] lonely [IMPLY] confused [PERIOD]
precious [AND] reserved [IMPLY] lonely [PERIOD]
dull [AND] attentive [IMPLY] cruel [PERIOD]
talkative [AND] attractive [IMPLY] cruel [PERIOD]
precious [AND] attentive [IMPLY] attractive [PERIOD]
glamorous [AND] dull [IMPLY] modern [PERIOD]
tired [AND] plain [IMPLY] tame [PERIOD]
frantic [AND] elated [AND] confused [IMPLY] glamorous [PERIOD]
light [AND] dull [IMPLY] lonely [PERIOD]
frail [IMPLY] proud [PERIOD]
tidy [AND] excited [IMPLY] busy [PERIOD]
light [AND] frantic [IMPLY] confused [PERIOD]
attractive [AND] attentive [AND] thoughtless [IMPLY] busy [PERIOD]
tidy [IMPLY] tame [PERIOD]
frantic [AND] average [IMPLY] cruel [PERIOD]
cruel [AND] frantic [AND] combative [IMPLY] busy [PERIOD]
light [AND] worried [AND] thoughtless [IMPLY] talkative [PERIOD]
courageous [AND] excited [AND] thoughtless [IMPLY] tidy [PERIOD]
courageous [AND] attractive [AND] thoughtless [IMPLY] lonely [PERIOD]
tidy [IMPLY] attractive [PERIOD]
cruel [AND] light [AND] courageous [IMPLY] elated [PERIOD]
elated [AND] dull [AND] combative [IMPLY] plain [PERIOD]
glamorous [AND] courageous [AND] agreeable [IMPLY] attractive [PERIOD]
dull [IMPLY] glamorous [PERIOD]
combative [AND] tired [IMPLY] tidy [PERIOD]
modern [AND] precious [IMPLY] attentive [PERIOD]
tired [AND] agreeable [IMPLY] tame [PERIOD]
talkative [AND] glamorous [IMPLY] wrong [PERIOD]
confused [IMPLY] light [PERIOD]
glamorous [AND] courageous [IMPLY] lonely [PERIOD]
combative [IMPLY] tired [PERIOD]
thoughtless [IMPLY] dull [PERIOD]
confused [IMPLY] attentive [PERIOD]
confused [AND] dull [AND] precious [IMPLY] tame [PERIOD]
glamorous [AND] average [IMPLY] proud [PERIOD]
excited [IMPLY] agreeable [PERIOD]
attentive [AND] proud [IMPLY] excited [PERIOD]
thoughtless [AND] lonely [AND] talkative [IMPLY] frantic [PERIOD]
agreeable [AND] hurt [IMPLY] modern [PERIOD]
courageous [AND] cruel [AND] lonely [IMPLY] hurt [PERIOD]
precious [AND] frantic [AND] elated [IMPLY] excited [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
   confused ⇒ attentive
   precious ∧ attentive ⇒ attractive
   attractive ⇒ agreeable
   average ∧ combative ⇒ tired
   combative ∧ tired ⇒ tidy
   glamorous ∧ courageous ⇒ lonely
   agreeable ∧ tidy ∧ lonely ⇒ worried
",1,7
"Facts:  Alice is polite [PERIOD] Alice is average [PERIOD]
Rules:
impartial [AND] ambitious [IMPLY] crowded [PERIOD]
disobedient [AND] thoughtless [IMPLY] worrisome [PERIOD]
stubborn [IMPLY] sensible [PERIOD]
average [IMPLY] thoughtless [PERIOD]
thoughtless [AND] bad-tempered [AND] average [IMPLY] amused [PERIOD]
impartial [AND] zealous [IMPLY] long [PERIOD]
worrisome [AND] disobedient [AND] impatient [IMPLY] sensible [PERIOD]
amused [AND] sensible [AND] calm [IMPLY] polite [PERIOD]
crowded [AND] worrisome [AND] ambitious [IMPLY] long [PERIOD]
crowded [AND] impatient [IMPLY] calm [PERIOD]
impatient [IMPLY] bad-tempered [PERIOD]
ambitious [IMPLY] stubborn [PERIOD]
scared [AND] crowded [IMPLY] worrisome [PERIOD]
calm [AND] impatient [AND] zealous [IMPLY] impartial [PERIOD]
impartial [AND] polite [AND] sensible [IMPLY] worrisome [PERIOD]
sensible [AND] stubborn [IMPLY] impatient [PERIOD]
stubborn [IMPLY] ambitious [PERIOD]
dull [AND] average [AND] ambitious [IMPLY] worrisome [PERIOD]
impartial [IMPLY] scared [PERIOD]
thoughtless [IMPLY] crowded [PERIOD]
impatient [AND] amused [AND] worrisome [IMPLY] bad-tempered [PERIOD]
ambitious [AND] zealous [AND] sensible [IMPLY] impartial [PERIOD]
dull [IMPLY] worrisome [PERIOD]
bad-tempered [AND] crowded [IMPLY] long [PERIOD]
long [AND] polite [AND] amused [IMPLY] impatient [PERIOD]
ambitious [AND] worrisome [IMPLY] long [PERIOD]
bad-tempered [IMPLY] calm [PERIOD]
polite [AND] worrisome [IMPLY] dull [PERIOD]
zealous [AND] average [IMPLY] sensible [PERIOD]
average [IMPLY] crowded [PERIOD]
bad-tempered [AND] long [AND] dull [IMPLY] zealous [PERIOD]
thoughtless [IMPLY] amused [PERIOD]
sensible [AND] impatient [IMPLY] amused [PERIOD]
calm [IMPLY] average [PERIOD]
scared [IMPLY] disobedient [PERIOD]
polite [IMPLY] average [PERIOD]
crowded [AND] sensible [IMPLY] long [PERIOD]
bad-tempered [IMPLY] amused [PERIOD]
impartial [AND] worrisome [IMPLY] ambitious [PERIOD]
calm [AND] impatient [IMPLY] impartial [PERIOD]
zealous [AND] sensible [IMPLY] impartial [PERIOD]
impatient [IMPLY] crowded [PERIOD]
stubborn [IMPLY] worrisome [PERIOD]
thoughtless [IMPLY] impatient [PERIOD]
sensible [IMPLY] impatient [PERIOD]
ambitious [AND] worrisome [AND] average [IMPLY] amused [PERIOD]
long [IMPLY] crowded [PERIOD]
dull [AND] impatient [IMPLY] stubborn [PERIOD]
impatient [AND] sensible [IMPLY] disobedient [PERIOD]
calm [IMPLY] sensible [PERIOD]
long [AND] polite [IMPLY] impatient [PERIOD]
polite [AND] disobedient [AND] impartial [IMPLY] average [PERIOD]
polite [IMPLY] sensible [PERIOD]
worrisome [IMPLY] impartial [PERIOD]
impartial [AND] zealous [IMPLY] polite [PERIOD]
thoughtless [AND] amused [AND] scared [IMPLY] polite [PERIOD]
thoughtless [IMPLY] disobedient [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   average ⇒ crowded
   polite ⇒ sensible
   sensible ⇒ impatient
   crowded ∧ impatient ⇒ calm
   polite ⇒ sensible
   sensible ⇒ impatient
   calm ∧ impatient ⇒ impartial
",1,7
"Facts:  Alice is dishonest [PERIOD] Alice is worrisome [PERIOD] Alice is homely [PERIOD] Alice is shiny [PERIOD] Alice is cooperative [PERIOD]
Rules:
confused [AND] ambitious [IMPLY] worrisome [PERIOD]
ambitious [AND] messy [AND] cooperative [IMPLY] sincere [PERIOD]
intellectual [AND] shiny [AND] homely [IMPLY] cooperative [PERIOD]
sincere [AND] tidy [AND] scared [IMPLY] ambitious [PERIOD]
messy [IMPLY] smart [PERIOD]
pessimistic [AND] crowded [AND] shiny [IMPLY] mysterious [PERIOD]
mysterious [AND] smart [AND] bossy [IMPLY] ambitious [PERIOD]
worrisome [AND] frail [IMPLY] crowded [PERIOD]
worrisome [IMPLY] sincere [PERIOD]
crowded [AND] tired [AND] dishonest [IMPLY] courageous [PERIOD]
pessimistic [IMPLY] smart [PERIOD]
shiny [AND] worrisome [IMPLY] smart [PERIOD]
zealous [AND] messy [AND] intellectual [IMPLY] courageous [PERIOD]
good [IMPLY] messy [PERIOD]
courageous [AND] tidy [IMPLY] crowded [PERIOD]
scared [AND] sensible [AND] worrisome [IMPLY] confident [PERIOD]
confident [AND] intellectual [AND] pessimistic [IMPLY] ambitious [PERIOD]
cooperative [AND] good [AND] pessimistic [IMPLY] ambitious [PERIOD]
zealous [AND] courageous [AND] mysterious [IMPLY] crowded [PERIOD]
homely [IMPLY] smart [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   No rule concludes “pessimistic.”
",0,1
"Facts:  Alice is pessimistic [PERIOD] Alice is polite [PERIOD] Alice is crowded [PERIOD] Alice is glamorous [PERIOD] Alice is supportive [PERIOD] Alice is careless [PERIOD] Alice is distinct [PERIOD] Alice is loving [PERIOD] Alice is difficult [PERIOD] Alice is serious [PERIOD] Alice is good [PERIOD]
Rules:
supportive [IMPLY] loving [PERIOD]
cruel [AND] difficult [AND] broad-minded [IMPLY] enchanting [PERIOD]
careless [AND] difficult [AND] rational [IMPLY] cruel [PERIOD]
selfish [AND] alert [AND] glamorous [IMPLY] good [PERIOD]
polite [IMPLY] selfish [PERIOD]
difficult [IMPLY] good [PERIOD]
enchanting [AND] cruel [AND] disgusted [IMPLY] difficult [PERIOD]
rational [AND] enchanting [AND] crowded [IMPLY] serious [PERIOD]
rational [AND] disgusted [AND] witty [IMPLY] pessimistic [PERIOD]
rational [AND] disgusted [AND] difficult [IMPLY] distinct [PERIOD]
pessimistic [IMPLY] glamorous [PERIOD]
average [AND] crowded [AND] careless [IMPLY] glamorous [PERIOD]
polite [AND] alert [AND] cruel [IMPLY] average [PERIOD]
careless [IMPLY] alert [PERIOD]
enchanting [IMPLY] average [PERIOD]
witty [IMPLY] good [PERIOD]
disgusted [AND] tame [AND] glamorous [IMPLY] alert [PERIOD]
pessimistic [AND] disgusted [AND] serious [IMPLY] careless [PERIOD]
serious [AND] supportive [AND] witty [IMPLY] disgusted [PERIOD]
difficult [AND] loving [AND] witty [IMPLY] crowded [PERIOD]
difficult [AND] disgusted [IMPLY] selfish [PERIOD]
supportive [AND] broad-minded [IMPLY] cruel [PERIOD]
careless [AND] broad-minded [IMPLY] disgusted [PERIOD]
broad-minded [IMPLY] crowded [PERIOD]
glamorous [AND] cruel [AND] crowded [IMPLY] loving [PERIOD]
cruel [IMPLY] serious [PERIOD]
alert [AND] careless [IMPLY] loving [PERIOD]
enchanting [AND] loving [AND] good [IMPLY] careless [PERIOD]
alert [IMPLY] cruel [PERIOD]
average [AND] cruel [IMPLY] careless [PERIOD]
loving [AND] enchanting [IMPLY] polite [PERIOD]
broad-minded [IMPLY] disgusted [PERIOD]
crowded [AND] good [IMPLY] serious [PERIOD]
average [IMPLY] alert [PERIOD]
rational [IMPLY] glamorous [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   careless ⇒ alert
   alert ⇒ cruel
   Cannot apply rule “cruel ∧ difficult ∧ broad-minded ⇒ enchanting” because missing: broad-minded.
",0,3
"Facts:  Alice is sincere [PERIOD] Alice is joyous [PERIOD] Alice is sleepy [PERIOD] Alice is sensible [PERIOD] Alice is strange [PERIOD] Alice is cruel [PERIOD] Alice is jittery [PERIOD] Alice is nervous [PERIOD] Alice is tidy [PERIOD] Alice is excited [PERIOD] Alice is intellectual [PERIOD] Alice is gifted [PERIOD] Alice is lucky [PERIOD] Alice is crowded [PERIOD] Alice is witty [PERIOD] Alice is ugliest [PERIOD]
Rules:
plain [AND] lucky [AND] intellectual [IMPLY] impartial [PERIOD]
grumpy [AND] witty [IMPLY] strange [PERIOD]
plain [AND] strange [AND] cruel [IMPLY] jittery [PERIOD]
impartial [AND] friendly [IMPLY] disobedient [PERIOD]
cruel [AND] impartial [AND] lucky [IMPLY] serious [PERIOD]
ugliest [AND] troubled [IMPLY] proud [PERIOD]
friendly [AND] sensible [AND] nervous [IMPLY] attractive [PERIOD]
strange [AND] friendly [IMPLY] grumpy [PERIOD]
ugliest [AND] clean [AND] helpless [IMPLY] rude [PERIOD]
impartial [AND] plain [AND] intellectual [IMPLY] grumpy [PERIOD]
tidy [AND] clean [IMPLY] sensible [PERIOD]
jittery [AND] sensible [AND] nervous [IMPLY] ugliest [PERIOD]
joyous [AND] grumpy [AND] gifted [IMPLY] excited [PERIOD]
sensible [IMPLY] clean [PERIOD]
proud [IMPLY] attractive [PERIOD]
impartial [AND] intellectual [IMPLY] ugliest [PERIOD]
rude [AND] disobedient [AND] sensible [IMPLY] crowded [PERIOD]
nervous [AND] strange [AND] tidy [IMPLY] troubled [PERIOD]
friendly [AND] sincere [IMPLY] troubled [PERIOD]
lucky [IMPLY] nervous [PERIOD]
clean [AND] grumpy [IMPLY] lucky [PERIOD]
crowded [IMPLY] sincere [PERIOD]
jittery [AND] impartial [AND] disobedient [IMPLY] sincere [PERIOD]
disobedient [IMPLY] joyous [PERIOD]
troubled [AND] rude [AND] attractive [IMPLY] proud [PERIOD]
excited [AND] troubled [IMPLY] crowded [PERIOD]
lucky [AND] disobedient [IMPLY] attractive [PERIOD]
lucky [IMPLY] jittery [PERIOD]
friendly [AND] rude [AND] attractive [IMPLY] witty [PERIOD]
clumsy [AND] sensible [AND] cruel [IMPLY] tidy [PERIOD]
sensible [AND] loving [AND] clean [IMPLY] excited [PERIOD]
loving [AND] plain [IMPLY] gifted [PERIOD]
witty [AND] intellectual [AND] loving [IMPLY] attractive [PERIOD]
grumpy [IMPLY] helpless [PERIOD]
clean [AND] crowded [IMPLY] loving [PERIOD]
joyous [IMPLY] tidy [PERIOD]
lucky [IMPLY] serious [PERIOD]
loving [AND] nervous [AND] excited [IMPLY] troubled [PERIOD]
plain [AND] proud [AND] attractive [IMPLY] witty [PERIOD]
serious [AND] witty [IMPLY] troubled [PERIOD]
ugliest [AND] clean [AND] tidy [IMPLY] attractive [PERIOD]
sleepy [IMPLY] cruel [PERIOD]
lucky [AND] tidy [AND] jittery [IMPLY] excited [PERIOD]
attractive [AND] disobedient [AND] troubled [IMPLY] rude [PERIOD]
intellectual [AND] disobedient [IMPLY] sleepy [PERIOD]
nervous [AND] strange [IMPLY] sincere [PERIOD]
witty [IMPLY] sincere [PERIOD]
tidy [IMPLY] clean [PERIOD]
sincere [AND] rude [IMPLY] clean [PERIOD]
ugliest [IMPLY] joyous [PERIOD]
attractive [AND] tidy [AND] impartial [IMPLY] helpless [PERIOD]
clean [AND] joyous [IMPLY] lucky [PERIOD]
sleepy [IMPLY] rude [PERIOD]
intellectual [IMPLY] nervous [PERIOD]
loving [AND] rude [IMPLY] clumsy [PERIOD]
grumpy [AND] sincere [AND] cruel [IMPLY] gifted [PERIOD]
attractive [IMPLY] friendly [PERIOD]
rude [IMPLY] grumpy [PERIOD]
attractive [AND] helpless [IMPLY] troubled [PERIOD]
clean [IMPLY] troubled [PERIOD]
loving [AND] crowded [AND] troubled [IMPLY] grumpy [PERIOD]
impartial [AND] rude [AND] strange [IMPLY] friendly [PERIOD]
jittery [AND] nervous [AND] serious [IMPLY] excited [PERIOD]
intellectual [AND] tidy [AND] sincere [IMPLY] sleepy [PERIOD]
crowded [AND] clean [AND] loving [IMPLY] helpless [PERIOD]
clean [AND] helpless [AND] witty [IMPLY] attractive [PERIOD]
intellectual [IMPLY] cruel [PERIOD]
excited [IMPLY] grumpy [PERIOD]
witty [AND] impartial [IMPLY] plain [PERIOD]
sleepy [AND] disobedient [AND] plain [IMPLY] grumpy [PERIOD]
helpless [IMPLY] witty [PERIOD]
lucky [AND] friendly [IMPLY] impartial [PERIOD]
disobedient [IMPLY] rude [PERIOD]
joyous [AND] rude [AND] ugliest [IMPLY] witty [PERIOD]
troubled [AND] tidy [AND] sleepy [IMPLY] witty [PERIOD]
sincere [AND] friendly [IMPLY] clumsy [PERIOD]
plain [AND] impartial [AND] crowded [IMPLY] troubled [PERIOD]
grumpy [AND] jittery [AND] proud [IMPLY] troubled [PERIOD]
friendly [AND] attractive [AND] cruel [IMPLY] joyous [PERIOD]
nervous [AND] rude [AND] serious [IMPLY] sincere [PERIOD]
friendly [IMPLY] intellectual [PERIOD]
joyous [AND] rude [AND] jittery [IMPLY] clean [PERIOD]
nervous [IMPLY] sleepy [PERIOD]
friendly [AND] crowded [AND] intellectual [IMPLY] clumsy [PERIOD]
sincere [AND] crowded [AND] friendly [IMPLY] strange [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   sensible ⇒ clean
   ugliest ∧ clean ∧ tidy ⇒ attractive
   attractive ⇒ friendly
   lucky ∧ friendly ⇒ impartial
",1,4
"Facts:  Alice is comfortable [PERIOD] Alice is shy [PERIOD] Alice is distinct [PERIOD] Alice is confused [PERIOD] Alice is long [PERIOD] Alice is silly [PERIOD] Alice is messy [PERIOD] Alice is unpleasant [PERIOD] Alice is gorgeous [PERIOD] Alice is ugly [PERIOD] Alice is quaint [PERIOD] Alice is witty [PERIOD] Alice is stormy [PERIOD] Alice is pessimistic [PERIOD] Alice is muddy [PERIOD] Alice is diplomatic [PERIOD] Alice is perfect [PERIOD] Alice is broad-minded [PERIOD] Alice is impatient [PERIOD] Alice is straightforward [PERIOD] Alice is frantic [PERIOD] Alice is thoughtful [PERIOD] Alice is ugliest [PERIOD] Alice is smart [PERIOD] Alice is hypocritical [PERIOD] Alice is impartial [PERIOD] Alice is blushing [PERIOD]
Rules:
unpleasant [AND] blushing [IMPLY] ugly [PERIOD]
distinct [IMPLY] smart [PERIOD]
distinct [AND] stormy [IMPLY] impartial [PERIOD]
witty [IMPLY] perfect [PERIOD]
witty [AND] straightforward [IMPLY] comfortable [PERIOD]
impartial [AND] quaint [AND] pessimistic [IMPLY] diplomatic [PERIOD]
blushing [AND] impatient [AND] messy [IMPLY] disgusted [PERIOD]
comfortable [IMPLY] gorgeous [PERIOD]
straightforward [IMPLY] confused [PERIOD]
silly [IMPLY] long [PERIOD]
confused [AND] long [AND] stormy [IMPLY] disgusted [PERIOD]
blushing [AND] distinct [IMPLY] stormy [PERIOD]
muddy [AND] diplomatic [AND] impartial [IMPLY] gorgeous [PERIOD]
ugliest [AND] confused [AND] smart [IMPLY] messy [PERIOD]
long [AND] impatient [IMPLY] stormy [PERIOD]
disgusted [AND] diplomatic [IMPLY] straightforward [PERIOD]
long [AND] gorgeous [IMPLY] quaint [PERIOD]
witty [IMPLY] messy [PERIOD]
gorgeous [AND] stormy [IMPLY] hypocritical [PERIOD]
shy [IMPLY] muddy [PERIOD]
quaint [AND] messy [AND] hypocritical [IMPLY] different [PERIOD]
gorgeous [AND] thoughtful [AND] pessimistic [IMPLY] unpleasant [PERIOD]
pessimistic [AND] thoughtful [IMPLY] ugly [PERIOD]
straightforward [AND] blushing [IMPLY] ugly [PERIOD]
perfect [AND] disgusted [AND] stormy [IMPLY] thoughtful [PERIOD]
witty [AND] comfortable [IMPLY] broad-minded [PERIOD]
hypocritical [IMPLY] messy [PERIOD]
unpleasant [AND] muddy [AND] shy [IMPLY] disgusted [PERIOD]
diplomatic [IMPLY] attractive [PERIOD]
perfect [IMPLY] messy [PERIOD]
quaint [AND] silly [AND] diplomatic [IMPLY] broad-minded [PERIOD]
different [IMPLY] long [PERIOD]
messy [AND] unpleasant [AND] impartial [IMPLY] stormy [PERIOD]
stormy [IMPLY] gorgeous [PERIOD]
frantic [AND] stormy [IMPLY] confused [PERIOD]
straightforward [AND] broad-minded [IMPLY] stormy [PERIOD]
attractive [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] shy [PERIOD]
smart [IMPLY] impartial [PERIOD]
disgusted [AND] hypocritical [AND] ugliest [IMPLY] thoughtful [PERIOD]
disgusted [AND] ugliest [AND] ugly [IMPLY] perfect [PERIOD]
long [AND] ugly [IMPLY] gorgeous [PERIOD]
silly [AND] messy [IMPLY] perfect [PERIOD]
witty [AND] straightforward [IMPLY] ugliest [PERIOD]
quaint [IMPLY] straightforward [PERIOD]
thoughtful [AND] silly [IMPLY] long [PERIOD]
comfortable [AND] frantic [AND] stormy [IMPLY] ugly [PERIOD]
blushing [AND] thoughtful [AND] attractive [IMPLY] gorgeous [PERIOD]
broad-minded [IMPLY] smart [PERIOD]
different [AND] perfect [AND] unpleasant [IMPLY] smart [PERIOD]
distinct [AND] perfect [IMPLY] pessimistic [PERIOD]
witty [AND] disgusted [IMPLY] shy [PERIOD]
comfortable [AND] diplomatic [AND] messy [IMPLY] muddy [PERIOD]
ugly [AND] gorgeous [IMPLY] unpleasant [PERIOD]
gorgeous [AND] disgusted [IMPLY] stormy [PERIOD]
distinct [AND] messy [IMPLY] straightforward [PERIOD]
comfortable [IMPLY] perfect [PERIOD]
messy [AND] ugliest [IMPLY] muddy [PERIOD]
broad-minded [IMPLY] confused [PERIOD]
diplomatic [IMPLY] shy [PERIOD]
comfortable [AND] long [AND] silly [IMPLY] distinct [PERIOD]
straightforward [AND] attractive [IMPLY] long [PERIOD]
diplomatic [IMPLY] pessimistic [PERIOD]
pessimistic [IMPLY] gorgeous [PERIOD]
perfect [IMPLY] quaint [PERIOD]
straightforward [AND] impartial [IMPLY] shy [PERIOD]
broad-minded [IMPLY] diplomatic [PERIOD]
witty [IMPLY] comfortable [PERIOD]
smart [AND] frantic [IMPLY] long [PERIOD]
stormy [AND] muddy [IMPLY] unpleasant [PERIOD]
frantic [AND] confused [AND] stormy [IMPLY] distinct [PERIOD]
gorgeous [AND] smart [IMPLY] unpleasant [PERIOD]
ugliest [AND] broad-minded [AND] hypocritical [IMPLY] witty [PERIOD]
long [AND] messy [AND] broad-minded [IMPLY] unpleasant [PERIOD]
diplomatic [AND] smart [IMPLY] pessimistic [PERIOD]
confused [AND] long [AND] muddy [IMPLY] witty [PERIOD]
distinct [AND] muddy [IMPLY] long [PERIOD]
blushing [AND] stormy [AND] attractive [IMPLY] comfortable [PERIOD]
frantic [IMPLY] witty [PERIOD]
impartial [AND] messy [IMPLY] blushing [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is stupid [PERIOD] Alice is rational [PERIOD] Alice is gleaming [PERIOD] Alice is shy [PERIOD] Alice is smart [PERIOD]
Rules:
fancy [AND] long [AND] foolish [IMPLY] troubled [PERIOD]
fancy [IMPLY] bad-tempered [PERIOD]
horrible [AND] sincere [AND] stupid [IMPLY] mysterious [PERIOD]
alert [AND] foolish [AND] gleaming [IMPLY] bad-tempered [PERIOD]
fancy [AND] alert [IMPLY] ugliest [PERIOD]
pleasant [AND] ugliest [IMPLY] shy [PERIOD]
impatient [AND] foolish [AND] alert [IMPLY] comfortable [PERIOD]
famous [AND] bossy [AND] sincere [IMPLY] troubled [PERIOD]
diplomatic [AND] horrible [AND] famous [IMPLY] naughty [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   Cannot apply rule “fancy ⇒ bad-tempered” because missing: fancy.
   Cannot apply rule “alert ∧ foolish ∧ gleaming ⇒ bad-tempered” because missing: alert, foolish.
",0,2
"Facts:  Alice is impatient [PERIOD] Alice is pessimistic [PERIOD] Alice is disgusted [PERIOD] Alice is modern [PERIOD] Alice is average [PERIOD] Alice is muddy [PERIOD] Alice is fancy [PERIOD] Alice is beautiful [PERIOD] Alice is gifted [PERIOD] Alice is proud [PERIOD] Alice is bored [PERIOD] Alice is alert [PERIOD]
Rules:
alert [IMPLY] modern [PERIOD]
scared [AND] attractive [AND] frantic [IMPLY] helpless [PERIOD]
powerful [IMPLY] muddy [PERIOD]
helpful [AND] careless [AND] muddy [IMPLY] bored [PERIOD]
thoughtless [AND] stormy [IMPLY] average [PERIOD]
muddy [AND] helpful [AND] helpless [IMPLY] powerful [PERIOD]
talented [AND] proud [AND] impatient [IMPLY] scared [PERIOD]
talented [AND] frantic [AND] stormy [IMPLY] sincere [PERIOD]
sincere [IMPLY] stormy [PERIOD]
fancy [AND] attractive [AND] impatient [IMPLY] bossy [PERIOD]
scared [IMPLY] shiny [PERIOD]
proud [IMPLY] fancy [PERIOD]
bored [AND] fancy [IMPLY] sincere [PERIOD]
average [IMPLY] helpful [PERIOD]
bored [AND] average [AND] attractive [IMPLY] shiny [PERIOD]
proud [AND] sincere [AND] disgusted [IMPLY] bossy [PERIOD]
bored [IMPLY] gifted [PERIOD]
proud [AND] bossy [IMPLY] disgusted [PERIOD]
average [IMPLY] messy [PERIOD]
beautiful [IMPLY] average [PERIOD]
disgusted [AND] modern [IMPLY] sincere [PERIOD]
bored [IMPLY] fancy [PERIOD]
sincere [AND] alert [IMPLY] thoughtless [PERIOD]
sincere [IMPLY] fancy [PERIOD]
modern [AND] muddy [IMPLY] talented [PERIOD]
bored [IMPLY] beautiful [PERIOD]
muddy [IMPLY] shiny [PERIOD]
average [IMPLY] helpless [PERIOD]
messy [AND] fancy [AND] pessimistic [IMPLY] sincere [PERIOD]
bossy [AND] fancy [IMPLY] pessimistic [PERIOD]
fancy [AND] talented [AND] beautiful [IMPLY] bored [PERIOD]
careless [IMPLY] frantic [PERIOD]
fancy [IMPLY] sincere [PERIOD]
disgusted [AND] muddy [AND] silly [IMPLY] frantic [PERIOD]
helpful [IMPLY] gifted [PERIOD]
disgusted [IMPLY] impatient [PERIOD]
helpful [AND] shiny [AND] careless [IMPLY] beautiful [PERIOD]
muddy [AND] powerful [AND] pessimistic [IMPLY] thoughtless [PERIOD]
disgusted [AND] careless [IMPLY] gifted [PERIOD]
average [AND] beautiful [IMPLY] disgusted [PERIOD]
impatient [IMPLY] average [PERIOD]
alert [IMPLY] beautiful [PERIOD]
proud [AND] talented [AND] frantic [IMPLY] careless [PERIOD]
disgusted [AND] bossy [IMPLY] fancy [PERIOD]
scared [AND] proud [IMPLY] silly [PERIOD]
scared [AND] pessimistic [IMPLY] alert [PERIOD]
bossy [AND] shiny [AND] pessimistic [IMPLY] careless [PERIOD]
messy [AND] bossy [IMPLY] talented [PERIOD]
proud [AND] impatient [IMPLY] bored [PERIOD]
modern [IMPLY] helpless [PERIOD]
modern [IMPLY] sincere [PERIOD]
fancy [AND] beautiful [AND] talented [IMPLY] messy [PERIOD]
shiny [IMPLY] careless [PERIOD]
bored [AND] disgusted [AND] bossy [IMPLY] pessimistic [PERIOD]
talented [IMPLY] silly [PERIOD]
careless [AND] bored [AND] powerful [IMPLY] messy [PERIOD]
powerful [AND] alert [AND] frantic [IMPLY] disgusted [PERIOD]
gifted [AND] frantic [IMPLY] pessimistic [PERIOD]
frantic [AND] beautiful [IMPLY] bossy [PERIOD]
impatient [IMPLY] modern [PERIOD]
bored [AND] frantic [AND] impatient [IMPLY] stormy [PERIOD]
frantic [IMPLY] stormy [PERIOD]
attractive [AND] beautiful [AND] gifted [IMPLY] disgusted [PERIOD]
helpful [AND] modern [IMPLY] stormy [PERIOD]
muddy [AND] thoughtless [IMPLY] helpful [PERIOD]
pessimistic [AND] proud [AND] impatient [IMPLY] fancy [PERIOD]
shiny [AND] impatient [IMPLY] thoughtless [PERIOD]
silly [AND] sincere [IMPLY] beautiful [PERIOD]
attractive [AND] bored [AND] powerful [IMPLY] fancy [PERIOD]
scared [IMPLY] powerful [PERIOD]
frantic [AND] beautiful [AND] disgusted [IMPLY] sincere [PERIOD]
average [AND] impatient [IMPLY] muddy [PERIOD]
talented [IMPLY] modern [PERIOD]
silly [IMPLY] alert [PERIOD]
thoughtless [AND] powerful [AND] messy [IMPLY] fancy [PERIOD]
messy [AND] talented [IMPLY] bored [PERIOD]
bored [IMPLY] careless [PERIOD]
messy [AND] muddy [IMPLY] bossy [PERIOD]
bossy [AND] shiny [IMPLY] fancy [PERIOD]
attractive [AND] modern [AND] scared [IMPLY] bossy [PERIOD]
proud [AND] muddy [IMPLY] helpful [PERIOD]
careless [IMPLY] disgusted [PERIOD]
alert [AND] helpful [AND] impatient [IMPLY] scared [PERIOD]
modern [IMPLY] alert [PERIOD]
thoughtless [AND] careless [AND] messy [IMPLY] silly [PERIOD]
silly [IMPLY] fancy [PERIOD]
beautiful [AND] messy [IMPLY] fancy [PERIOD]
average [AND] sincere [IMPLY] modern [PERIOD]
fancy [IMPLY] careless [PERIOD]
bossy [AND] talented [AND] gifted [IMPLY] silly [PERIOD]
frantic [IMPLY] thoughtless [PERIOD]
bored [IMPLY] helpless [PERIOD]
frantic [AND] modern [AND] alert [IMPLY] silly [PERIOD]
silly [AND] impatient [IMPLY] bossy [PERIOD]
proud [AND] frantic [AND] bored [IMPLY] bossy [PERIOD]
proud [AND] average [IMPLY] careless [PERIOD]
silly [AND] muddy [AND] thoughtless [IMPLY] powerful [PERIOD]
stormy [AND] beautiful [AND] thoughtless [IMPLY] silly [PERIOD]
talented [AND] gifted [IMPLY] modern [PERIOD]
modern [AND] impatient [AND] average [IMPLY] gifted [PERIOD]
average [AND] careless [AND] beautiful [IMPLY] proud [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is tender [PERIOD] Alice is thoughtful [PERIOD]
Rules:
thoughtful [IMPLY] helpless [PERIOD]
wrong [AND] glamorous [AND] tender [IMPLY] thoughtless [PERIOD]
wrong [IMPLY] broad-minded [PERIOD]
helpless [AND] tender [IMPLY] mysterious [PERIOD]
helpless [AND] wrong [AND] hurt [IMPLY] mysterious [PERIOD]
tender [AND] wrong [IMPLY] hurt [PERIOD]
thoughtful [IMPLY] hurt [PERIOD]
wrong [AND] tender [AND] strange [IMPLY] mysterious [PERIOD]
broad-minded [AND] hurt [AND] strange [IMPLY] tender [PERIOD]
thoughtless [AND] tender [IMPLY] helpless [PERIOD]
glamorous [AND] hurt [AND] broad-minded [IMPLY] thoughtful [PERIOD]
thoughtful [AND] wrong [AND] hurt [IMPLY] calm [PERIOD]
mysterious [AND] glamorous [AND] calm [IMPLY] broad-minded [PERIOD]
glamorous [IMPLY] helpless [PERIOD]
wrong [AND] strange [AND] helpless [IMPLY] glamorous [PERIOD]
calm [AND] wrong [IMPLY] thoughtless [PERIOD]
mysterious [IMPLY] tender [PERIOD]
thoughtless [AND] calm [IMPLY] hurt [PERIOD]
mysterious [IMPLY] wrong [PERIOD]
helpless [IMPLY] strange [PERIOD]
mysterious [AND] strange [AND] thoughtless [IMPLY] calm [PERIOD]
hurt [AND] glamorous [AND] wrong [IMPLY] calm [PERIOD]
glamorous [AND] strange [IMPLY] hurt [PERIOD]
broad-minded [AND] helpless [AND] calm [IMPLY] tender [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   thoughtful ⇒ helpless
   helpless ∧ tender ⇒ mysterious
   mysterious ⇒ wrong
",1,3
"Facts:  Alice is fancy [PERIOD] Alice is worrisome [PERIOD] Alice is confident [PERIOD] Alice is inexpensive [PERIOD] Alice is impatient [PERIOD] Alice is famous [PERIOD] Alice is blushing [PERIOD] Alice is tender [PERIOD] Alice is agreeable [PERIOD]
Rules:
broad-minded [AND] agreeable [AND] confident [IMPLY] fancy [PERIOD]
thoughtless [IMPLY] stubborn [PERIOD]
inexpensive [IMPLY] impatient [PERIOD]
inexpensive [AND] embarrassed [IMPLY] stubborn [PERIOD]
embarrassed [AND] worrisome [AND] confident [IMPLY] enchanting [PERIOD]
broad-minded [AND] thoughtless [IMPLY] embarrassed [PERIOD]
confident [IMPLY] tender [PERIOD]
thoughtless [AND] agreeable [IMPLY] confident [PERIOD]
famous [IMPLY] inexpensive [PERIOD]
impatient [AND] famous [IMPLY] tender [PERIOD]
enchanting [IMPLY] stubborn [PERIOD]
thoughtless [AND] inexpensive [IMPLY] famous [PERIOD]
enchanting [AND] blushing [IMPLY] agreeable [PERIOD]
confident [IMPLY] broad-minded [PERIOD]
inexpensive [AND] impatient [IMPLY] tender [PERIOD]
broad-minded [IMPLY] worrisome [PERIOD]
famous [AND] stubborn [AND] worrisome [IMPLY] fancy [PERIOD]
thoughtless [AND] blushing [AND] embarrassed [IMPLY] worrisome [PERIOD]
thoughtless [IMPLY] inexpensive [PERIOD]
blushing [IMPLY] broad-minded [PERIOD]
worrisome [IMPLY] agreeable [PERIOD]
tender [IMPLY] blushing [PERIOD]
enchanting [AND] tender [IMPLY] worrisome [PERIOD]
broad-minded [AND] stubborn [AND] embarrassed [IMPLY] impatient [PERIOD]
blushing [IMPLY] impatient [PERIOD]
famous [IMPLY] thoughtless [PERIOD]
stubborn [IMPLY] confident [PERIOD]
thoughtless [IMPLY] broad-minded [PERIOD]
blushing [AND] tender [IMPLY] impatient [PERIOD]
impatient [IMPLY] tender [PERIOD]
blushing [AND] impatient [AND] inexpensive [IMPLY] tender [PERIOD]
confident [AND] embarrassed [IMPLY] inexpensive [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   blushing ⇒ broad-minded
   famous ⇒ thoughtless
   broad-minded ∧ thoughtless ⇒ embarrassed
",1,3
"Facts:  Alice is embarrassed [PERIOD] Alice is selfish [PERIOD] Alice is tender [PERIOD] Alice is fragile [PERIOD] Alice is bossy [PERIOD] Alice is wrong [PERIOD] Alice is stupid [PERIOD]
Rules:
nervous [IMPLY] average [PERIOD]
easy [IMPLY] combative [PERIOD]
bored [AND] unpleasant [AND] fragile [IMPLY] busy [PERIOD]
busy [IMPLY] tender [PERIOD]
old-fashioned [AND] average [AND] serious [IMPLY] selfish [PERIOD]
selfish [AND] hilarious [AND] nervous [IMPLY] stupid [PERIOD]
nervous [AND] combative [AND] polite [IMPLY] gorgeous [PERIOD]
nervous [AND] serious [AND] wrong [IMPLY] shy [PERIOD]
unpleasant [IMPLY] bossy [PERIOD]
bored [AND] ambitious [IMPLY] charming [PERIOD]
loving [AND] fragile [IMPLY] polite [PERIOD]
unpleasant [IMPLY] fragile [PERIOD]
shy [IMPLY] pessimistic [PERIOD]
pessimistic [AND] stupid [AND] charming [IMPLY] serious [PERIOD]
unpleasant [AND] combative [IMPLY] charming [PERIOD]
unpleasant [AND] polite [AND] bossy [IMPLY] charming [PERIOD]
tender [AND] polite [IMPLY] loving [PERIOD]
gorgeous [AND] embarrassed [AND] average [IMPLY] loving [PERIOD]
shy [IMPLY] hilarious [PERIOD]
average [AND] bored [AND] hilarious [IMPLY] polite [PERIOD]
bossy [AND] fragile [AND] nervous [IMPLY] pessimistic [PERIOD]
bossy [AND] old-fashioned [AND] polite [IMPLY] average [PERIOD]
embarrassed [AND] serious [IMPLY] wrong [PERIOD]
serious [AND] average [IMPLY] selfish [PERIOD]
unpleasant [AND] fragile [AND] attentive [IMPLY] bossy [PERIOD]
ambitious [AND] loving [AND] combative [IMPLY] hilarious [PERIOD]
bossy [AND] wrong [AND] unpleasant [IMPLY] stupid [PERIOD]
average [AND] charming [AND] tender [IMPLY] easy [PERIOD]
bored [AND] old-fashioned [AND] ambitious [IMPLY] busy [PERIOD]
average [AND] charming [IMPLY] stupid [PERIOD]
bored [IMPLY] old-fashioned [PERIOD]
bossy [IMPLY] pessimistic [PERIOD]
bored [AND] bossy [IMPLY] easy [PERIOD]
unpleasant [IMPLY] selfish [PERIOD]
hilarious [AND] stupid [AND] gorgeous [IMPLY] old-fashioned [PERIOD]
tender [AND] serious [IMPLY] gorgeous [PERIOD]
ambitious [AND] old-fashioned [IMPLY] shy [PERIOD]
attentive [IMPLY] loving [PERIOD]
shy [AND] fragile [AND] bored [IMPLY] embarrassed [PERIOD]
unpleasant [IMPLY] combative [PERIOD]
shy [AND] bored [AND] hilarious [IMPLY] charming [PERIOD]
charming [AND] hilarious [AND] polite [IMPLY] gorgeous [PERIOD]
tender [AND] average [IMPLY] busy [PERIOD]
gorgeous [AND] easy [IMPLY] busy [PERIOD]
easy [AND] serious [IMPLY] combative [PERIOD]
shy [AND] pessimistic [IMPLY] charming [PERIOD]
average [AND] ambitious [AND] embarrassed [IMPLY] charming [PERIOD]
wrong [IMPLY] tender [PERIOD]
tender [AND] pessimistic [AND] gorgeous [IMPLY] selfish [PERIOD]
serious [AND] ambitious [IMPLY] selfish [PERIOD]
pessimistic [IMPLY] easy [PERIOD]
stupid [AND] busy [IMPLY] bored [PERIOD]
selfish [AND] serious [AND] gorgeous [IMPLY] stupid [PERIOD]
busy [AND] loving [IMPLY] ambitious [PERIOD]
easy [AND] loving [AND] fragile [IMPLY] selfish [PERIOD]
busy [AND] pessimistic [AND] old-fashioned [IMPLY] tender [PERIOD]
serious [IMPLY] attentive [PERIOD]
combative [AND] embarrassed [AND] bored [IMPLY] attentive [PERIOD]
busy [IMPLY] wrong [PERIOD]
combative [IMPLY] shy [PERIOD]
selfish [AND] unpleasant [IMPLY] loving [PERIOD]
combative [IMPLY] wrong [PERIOD]
combative [IMPLY] attentive [PERIOD]
hilarious [AND] charming [AND] nervous [IMPLY] bossy [PERIOD]
pessimistic [AND] charming [IMPLY] average [PERIOD]
serious [AND] tender [AND] nervous [IMPLY] bored [PERIOD]
attentive [AND] selfish [AND] loving [IMPLY] polite [PERIOD]
old-fashioned [IMPLY] pessimistic [PERIOD]
unpleasant [AND] busy [AND] fragile [IMPLY] serious [PERIOD]
attentive [AND] nervous [AND] pessimistic [IMPLY] loving [PERIOD]
combative [AND] charming [AND] bored [IMPLY] selfish [PERIOD]
old-fashioned [AND] hilarious [AND] bossy [IMPLY] shy [PERIOD]
serious [IMPLY] ambitious [PERIOD]
serious [AND] shy [AND] bossy [IMPLY] unpleasant [PERIOD]
ambitious [AND] average [IMPLY] nervous [PERIOD]
combative [AND] charming [AND] bored [IMPLY] wrong [PERIOD]
gorgeous [AND] combative [AND] unpleasant [IMPLY] fragile [PERIOD]
gorgeous [AND] selfish [IMPLY] bossy [PERIOD]
loving [AND] tender [IMPLY] serious [PERIOD]
bored [AND] ambitious [AND] serious [IMPLY] gorgeous [PERIOD]
embarrassed [AND] tender [IMPLY] average [PERIOD]
old-fashioned [IMPLY] combative [PERIOD]
ambitious [IMPLY] pessimistic [PERIOD]
easy [AND] hilarious [AND] selfish [IMPLY] nervous [PERIOD]
attentive [AND] tender [AND] stupid [IMPLY] old-fashioned [PERIOD]
stupid [AND] fragile [AND] bored [IMPLY] attentive [PERIOD]
ambitious [AND] unpleasant [AND] gorgeous [IMPLY] wrong [PERIOD]
nervous [IMPLY] fragile [PERIOD]
selfish [AND] combative [IMPLY] stupid [PERIOD]
stupid [IMPLY] polite [PERIOD]
attentive [AND] fragile [IMPLY] serious [PERIOD]
shy [AND] unpleasant [IMPLY] tender [PERIOD]
shy [IMPLY] embarrassed [PERIOD]
ambitious [AND] wrong [IMPLY] shy [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   embarrassed ∧ tender ⇒ average
   tender ∧ average ⇒ busy
   stupid ⇒ polite
   tender ∧ polite ⇒ loving
   busy ∧ loving ⇒ ambitious
   ambitious ∧ wrong ⇒ shy
",1,6
"Facts:  Alice is sensible [PERIOD] Alice is lucky [PERIOD] Alice is gorgeous [PERIOD] Alice is troubled [PERIOD]
Rules:
sensible [AND] different [AND] troubled [IMPLY] innocent [PERIOD]
tense [IMPLY] sensible [PERIOD]
gorgeous [AND] sensible [AND] troubled [IMPLY] lucky [PERIOD]
tense [IMPLY] rude [PERIOD]
gorgeous [AND] tense [IMPLY] different [PERIOD]
selfish [AND] tense [IMPLY] gorgeous [PERIOD]
lucky [AND] different [IMPLY] selfish [PERIOD]
different [AND] gorgeous [IMPLY] troubled [PERIOD]
innocent [AND] troubled [IMPLY] sensible [PERIOD]
innocent [AND] selfish [IMPLY] cruel [PERIOD]
innocent [IMPLY] tense [PERIOD]
innocent [AND] sensible [AND] different [IMPLY] selfish [PERIOD]
lucky [AND] gorgeous [IMPLY] rude [PERIOD]
gorgeous [IMPLY] lucky [PERIOD]
selfish [IMPLY] troubled [PERIOD]
lucky [AND] troubled [IMPLY] tense [PERIOD]
Query: Alice is cruel [PERIOD]","Proof chain:
   lucky ∧ troubled ⇒ tense
   gorgeous ∧ tense ⇒ different
   sensible ∧ different ∧ troubled ⇒ innocent
   lucky ∧ troubled ⇒ tense
   gorgeous ∧ tense ⇒ different
   lucky ∧ different ⇒ selfish
   innocent ∧ selfish ⇒ cruel
",1,7
"Facts:  Alice is average [PERIOD] Alice is talkative [PERIOD] Alice is rude [PERIOD] Alice is versatile [PERIOD] Alice is embarrassed [PERIOD] Alice is confused [PERIOD] Alice is impartial [PERIOD] Alice is uptight [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
average [IMPLY] uptight [PERIOD]
talkative [IMPLY] impartial [PERIOD]
different [AND] versatile [AND] talkative [IMPLY] bad-tempered [PERIOD]
versatile [IMPLY] embarrassed [PERIOD]
average [AND] rude [AND] uptight [IMPLY] embarrassed [PERIOD]
confused [IMPLY] different [PERIOD]
confused [AND] versatile [IMPLY] different [PERIOD]
bad-tempered [AND] average [IMPLY] impartial [PERIOD]
versatile [AND] bad-tempered [IMPLY] rude [PERIOD]
careless [AND] embarrassed [AND] versatile [IMPLY] different [PERIOD]
bad-tempered [IMPLY] embarrassed [PERIOD]
rude [AND] embarrassed [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] impartial [IMPLY] confused [PERIOD]
rude [AND] bad-tempered [AND] different [IMPLY] impartial [PERIOD]
impartial [AND] uptight [AND] bad-tempered [IMPLY] careless [PERIOD]
bad-tempered [AND] talkative [IMPLY] versatile [PERIOD]
average [AND] impartial [AND] confused [IMPLY] versatile [PERIOD]
rude [IMPLY] versatile [PERIOD]
uptight [AND] rude [IMPLY] confused [PERIOD]
rude [AND] careless [AND] impartial [IMPLY] bad-tempered [PERIOD]
confused [AND] different [AND] talkative [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] average [PERIOD]
versatile [IMPLY] average [PERIOD]
average [IMPLY] versatile [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   impartial ∧ uptight ∧ bad-tempered ⇒ careless
",1,1
"Facts: 
Rules:
precious [IMPLY] muddy [PERIOD]
tired [AND] muddy [IMPLY] hilarious [PERIOD]
hurt [IMPLY] rude [PERIOD]
rational [AND] stupid [IMPLY] aggressive [PERIOD]
lucky [AND] shy [AND] rational [IMPLY] joyous [PERIOD]
confused [IMPLY] rude [PERIOD]
confused [AND] stupid [AND] adorable [IMPLY] horrible [PERIOD]
broad-minded [AND] dishonest [IMPLY] aggressive [PERIOD]
dishonest [IMPLY] horrible [PERIOD]
adorable [AND] aggressive [AND] joyous [IMPLY] stupid [PERIOD]
hilarious [AND] muddy [AND] ambitious [IMPLY] tired [PERIOD]
sensible [IMPLY] combative [PERIOD]
adorable [AND] ambitious [AND] hilarious [IMPLY] aggressive [PERIOD]
shy [IMPLY] combative [PERIOD]
unpleasant [IMPLY] confused [PERIOD]
broad-minded [AND] anxious [IMPLY] dull [PERIOD]
combative [IMPLY] old-fashioned [PERIOD]
anxious [AND] joyous [AND] dishonest [IMPLY] old-fashioned [PERIOD]
joyous [AND] confused [AND] careless [IMPLY] broad-minded [PERIOD]
sensible [AND] fine [IMPLY] stupid [PERIOD]
muddy [IMPLY] sensible [PERIOD]
famous [IMPLY] precious [PERIOD]
careless [AND] dull [AND] aggressive [IMPLY] different [PERIOD]
famous [AND] confused [IMPLY] hilarious [PERIOD]
adorable [AND] anxious [AND] hilarious [IMPLY] ambitious [PERIOD]
broad-minded [IMPLY] rational [PERIOD]
ambitious [AND] anxious [IMPLY] famous [PERIOD]
adorable [AND] horrible [AND] broad-minded [IMPLY] famous [PERIOD]
broad-minded [AND] quaint [AND] unpleasant [IMPLY] precious [PERIOD]
sensible [AND] rational [IMPLY] muddy [PERIOD]
famous [AND] old-fashioned [AND] broad-minded [IMPLY] hurt [PERIOD]
precious [AND] old-fashioned [AND] stupid [IMPLY] ambitious [PERIOD]
shy [IMPLY] different [PERIOD]
fine [AND] aggressive [IMPLY] muddy [PERIOD]
stupid [IMPLY] quaint [PERIOD]
dishonest [AND] careless [IMPLY] rude [PERIOD]
adorable [AND] hurt [IMPLY] fine [PERIOD]
stupid [AND] famous [AND] unpleasant [IMPLY] quaint [PERIOD]
aggressive [AND] shy [IMPLY] dishonest [PERIOD]
combative [AND] broad-minded [IMPLY] anxious [PERIOD]
shy [AND] joyous [IMPLY] precious [PERIOD]
hurt [AND] quaint [IMPLY] combative [PERIOD]
adorable [IMPLY] unpleasant [PERIOD]
quaint [IMPLY] lucky [PERIOD]
confused [AND] dull [IMPLY] anxious [PERIOD]
old-fashioned [AND] ambitious [IMPLY] combative [PERIOD]
unpleasant [IMPLY] tired [PERIOD]
stupid [AND] dull [AND] different [IMPLY] sensible [PERIOD]
shy [IMPLY] aggressive [PERIOD]
dishonest [IMPLY] muddy [PERIOD]
famous [IMPLY] tired [PERIOD]
anxious [AND] shy [IMPLY] broad-minded [PERIOD]
muddy [AND] combative [AND] ambitious [IMPLY] old-fashioned [PERIOD]
stupid [AND] old-fashioned [AND] muddy [IMPLY] tired [PERIOD]
hurt [AND] stupid [AND] fine [IMPLY] anxious [PERIOD]
tired [AND] dull [AND] horrible [IMPLY] hurt [PERIOD]
anxious [AND] broad-minded [IMPLY] hurt [PERIOD]
stupid [IMPLY] sensible [PERIOD]
hurt [AND] aggressive [IMPLY] hilarious [PERIOD]
fine [IMPLY] unpleasant [PERIOD]
confused [IMPLY] old-fashioned [PERIOD]
quaint [AND] ambitious [IMPLY] shy [PERIOD]
joyous [IMPLY] unpleasant [PERIOD]
broad-minded [IMPLY] stupid [PERIOD]
joyous [AND] aggressive [IMPLY] hilarious [PERIOD]
shy [IMPLY] tired [PERIOD]
joyous [AND] aggressive [IMPLY] old-fashioned [PERIOD]
horrible [AND] hurt [AND] hilarious [IMPLY] dull [PERIOD]
hilarious [AND] quaint [AND] aggressive [IMPLY] unpleasant [PERIOD]
hilarious [AND] old-fashioned [IMPLY] confused [PERIOD]
adorable [IMPLY] different [PERIOD]
lucky [AND] aggressive [IMPLY] hurt [PERIOD]
quaint [AND] sensible [AND] tired [IMPLY] shy [PERIOD]
anxious [IMPLY] rational [PERIOD]
dishonest [IMPLY] careless [PERIOD]
rude [IMPLY] anxious [PERIOD]
shy [AND] famous [IMPLY] adorable [PERIOD]
fine [AND] famous [IMPLY] rude [PERIOD]
combative [IMPLY] careless [PERIOD]
famous [AND] broad-minded [IMPLY] dishonest [PERIOD]
joyous [IMPLY] precious [PERIOD]
shy [IMPLY] dull [PERIOD]
aggressive [IMPLY] hurt [PERIOD]
joyous [AND] ambitious [IMPLY] rational [PERIOD]
rude [IMPLY] ambitious [PERIOD]
rude [IMPLY] unpleasant [PERIOD]
unpleasant [AND] adorable [IMPLY] lucky [PERIOD]
aggressive [AND] lucky [AND] adorable [IMPLY] anxious [PERIOD]
unpleasant [AND] aggressive [IMPLY] joyous [PERIOD]
unpleasant [IMPLY] quaint [PERIOD]
hilarious [IMPLY] ambitious [PERIOD]
anxious [IMPLY] hilarious [PERIOD]
hilarious [AND] quaint [IMPLY] famous [PERIOD]
precious [AND] horrible [AND] anxious [IMPLY] ambitious [PERIOD]
rude [IMPLY] dull [PERIOD]
adorable [IMPLY] dull [PERIOD]
different [AND] confused [AND] fine [IMPLY] lucky [PERIOD]
fine [AND] joyous [IMPLY] lucky [PERIOD]
old-fashioned [AND] aggressive [IMPLY] careless [PERIOD]
sensible [AND] lucky [IMPLY] combative [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   Cannot apply rule “quaint ⇒ lucky” because missing: quaint.
   Cannot apply rule “unpleasant ∧ adorable ⇒ lucky” because missing: unpleasant, adorable.
   Cannot apply rule “different ∧ confused ∧ fine ⇒ lucky” because missing: different, confused, fine.
   Cannot apply rule “fine ∧ joyous ⇒ lucky” because missing: fine, joyous.
",0,4
"Facts:  Alice is tender [PERIOD] Alice is troubled [PERIOD] Alice is good [PERIOD] Alice is outstanding [PERIOD] Alice is easy [PERIOD] Alice is shy [PERIOD] Alice is attentive [PERIOD] Alice is horrible [PERIOD] Alice is beautiful [PERIOD] Alice is sincere [PERIOD] Alice is powerful [PERIOD] Alice is loving [PERIOD] Alice is homely [PERIOD] Alice is impatient [PERIOD] Alice is victorious [PERIOD] Alice is grumpy [PERIOD] Alice is gleaming [PERIOD] Alice is straightforward [PERIOD] Alice is inquisitive [PERIOD] Alice is fragile [PERIOD] Alice is glamorous [PERIOD] Alice is courageous [PERIOD] Alice is worrisome [PERIOD] Alice is combative [PERIOD] Alice is lonely [PERIOD]
Rules:
powerful [AND] tender [AND] combative [IMPLY] horrible [PERIOD]
horrible [AND] attentive [IMPLY] worrisome [PERIOD]
horrible [IMPLY] glamorous [PERIOD]
powerful [AND] troubled [IMPLY] outstanding [PERIOD]
easy [AND] powerful [AND] lonely [IMPLY] courageous [PERIOD]
worrisome [IMPLY] good [PERIOD]
beautiful [IMPLY] good [PERIOD]
troubled [AND] courageous [AND] shy [IMPLY] loving [PERIOD]
combative [IMPLY] shy [PERIOD]
worrisome [IMPLY] courageous [PERIOD]
inquisitive [IMPLY] troubled [PERIOD]
inquisitive [AND] fragile [IMPLY] lonely [PERIOD]
easy [AND] lonely [IMPLY] bossy [PERIOD]
sincere [AND] homely [IMPLY] troubled [PERIOD]
worrisome [IMPLY] inquisitive [PERIOD]
attentive [AND] victorious [IMPLY] shy [PERIOD]
beautiful [IMPLY] victorious [PERIOD]
horrible [AND] troubled [IMPLY] impatient [PERIOD]
tender [IMPLY] homely [PERIOD]
bossy [AND] inquisitive [IMPLY] victorious [PERIOD]
sincere [AND] bossy [AND] impatient [IMPLY] troubled [PERIOD]
fragile [AND] combative [AND] homely [IMPLY] grumpy [PERIOD]
grumpy [AND] sincere [IMPLY] impatient [PERIOD]
bossy [AND] straightforward [IMPLY] shy [PERIOD]
troubled [AND] good [AND] tender [IMPLY] straightforward [PERIOD]
gleaming [IMPLY] beautiful [PERIOD]
combative [IMPLY] lonely [PERIOD]
attentive [AND] powerful [AND] gleaming [IMPLY] combative [PERIOD]
tender [AND] good [AND] shy [IMPLY] horrible [PERIOD]
powerful [IMPLY] outstanding [PERIOD]
victorious [AND] fragile [AND] shy [IMPLY] good [PERIOD]
victorious [IMPLY] powerful [PERIOD]
powerful [IMPLY] attentive [PERIOD]
victorious [IMPLY] inquisitive [PERIOD]
homely [AND] powerful [AND] worrisome [IMPLY] horrible [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
ambitious [AND] crowded [IMPLY] amused [PERIOD]
broad-minded [AND] amused [IMPLY] ambitious [PERIOD]
amused [IMPLY] ambitious [PERIOD]
grumpy [IMPLY] amused [PERIOD]
amused [IMPLY] grumpy [PERIOD]
grumpy [AND] amused [AND] different [IMPLY] crowded [PERIOD]
grumpy [AND] crowded [AND] amused [IMPLY] different [PERIOD]
different [AND] grumpy [AND] broad-minded [IMPLY] ambitious [PERIOD]
amused [AND] broad-minded [AND] grumpy [IMPLY] ambitious [PERIOD]
broad-minded [AND] different [IMPLY] grumpy [PERIOD]
broad-minded [IMPLY] ambitious [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ∧ amused ⇒ ambitious” because missing: broad-minded, amused.
   Cannot apply rule “amused ⇒ ambitious” because missing: amused.
   Cannot apply rule “different ∧ grumpy ∧ broad-minded ⇒ ambitious” because missing: different, grumpy, broad-minded.
   Cannot apply rule “amused ∧ broad-minded ∧ grumpy ⇒ ambitious” because missing: amused, broad-minded, grumpy.
   Cannot apply rule “broad-minded ⇒ ambitious” because missing: broad-minded.
",0,5
"Facts:  Alice is powerful [PERIOD] Alice is polite [PERIOD] Alice is spotless [PERIOD] Alice is smart [PERIOD] Alice is thoughtless [PERIOD] Alice is aggressive [PERIOD]
Rules:
wandering [IMPLY] hurt [PERIOD]
wandering [IMPLY] enchanting [PERIOD]
mysterious [AND] powerful [IMPLY] polite [PERIOD]
mysterious [IMPLY] reserved [PERIOD]
spotless [AND] scared [IMPLY] ugly [PERIOD]
spotless [AND] nervous [IMPLY] thoughtless [PERIOD]
mysterious [IMPLY] confused [PERIOD]
scared [AND] aggressive [AND] careless [IMPLY] polite [PERIOD]
mysterious [AND] aggressive [IMPLY] victorious [PERIOD]
reserved [IMPLY] hurt [PERIOD]
careless [AND] mysterious [IMPLY] ugly [PERIOD]
victorious [AND] scared [IMPLY] silly [PERIOD]
aggressive [AND] spotless [AND] attractive [IMPLY] ugly [PERIOD]
smart [AND] wandering [AND] attractive [IMPLY] scared [PERIOD]
mysterious [AND] spotless [AND] confused [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] reserved [PERIOD]
nervous [AND] powerful [IMPLY] careless [PERIOD]
spotless [AND] polite [AND] silly [IMPLY] nervous [PERIOD]
polite [AND] careless [IMPLY] hurt [PERIOD]
victorious [AND] thoughtless [AND] hurt [IMPLY] spotless [PERIOD]
smart [AND] ugly [AND] hurt [IMPLY] spotless [PERIOD]
nervous [AND] polite [AND] ugly [IMPLY] hurt [PERIOD]
silly [AND] wandering [AND] hurt [IMPLY] smart [PERIOD]
attractive [AND] aggressive [IMPLY] wandering [PERIOD]
spotless [IMPLY] victorious [PERIOD]
aggressive [AND] attractive [AND] victorious [IMPLY] nervous [PERIOD]
silly [AND] enchanting [AND] ugly [IMPLY] smart [PERIOD]
polite [AND] powerful [AND] aggressive [IMPLY] thoughtless [PERIOD]
enchanting [AND] wandering [AND] scared [IMPLY] hurt [PERIOD]
wandering [AND] powerful [AND] scared [IMPLY] nervous [PERIOD]
reserved [AND] victorious [IMPLY] polite [PERIOD]
wandering [AND] victorious [AND] nervous [IMPLY] confused [PERIOD]
scared [IMPLY] powerful [PERIOD]
aggressive [AND] powerful [AND] attractive [IMPLY] spotless [PERIOD]
thoughtless [IMPLY] aggressive [PERIOD]
silly [AND] spotless [AND] powerful [IMPLY] mysterious [PERIOD]
polite [AND] hurt [IMPLY] careless [PERIOD]
silly [AND] wandering [IMPLY] aggressive [PERIOD]
aggressive [AND] thoughtless [IMPLY] hurt [PERIOD]
reserved [IMPLY] victorious [PERIOD]
polite [AND] smart [IMPLY] thoughtless [PERIOD]
enchanting [AND] confused [AND] victorious [IMPLY] hurt [PERIOD]
aggressive [AND] nervous [AND] polite [IMPLY] ugly [PERIOD]
spotless [AND] reserved [IMPLY] hurt [PERIOD]
mysterious [AND] victorious [AND] spotless [IMPLY] attractive [PERIOD]
hurt [IMPLY] polite [PERIOD]
smart [AND] reserved [IMPLY] hurt [PERIOD]
careless [AND] silly [AND] ugly [IMPLY] nervous [PERIOD]
reserved [AND] smart [AND] hurt [IMPLY] silly [PERIOD]
smart [AND] ugly [AND] silly [IMPLY] confused [PERIOD]
spotless [AND] nervous [IMPLY] aggressive [PERIOD]
nervous [AND] smart [IMPLY] spotless [PERIOD]
victorious [IMPLY] confused [PERIOD]
careless [AND] thoughtless [AND] mysterious [IMPLY] aggressive [PERIOD]
ugly [AND] wandering [IMPLY] careless [PERIOD]
ugly [IMPLY] aggressive [PERIOD]
confused [AND] reserved [AND] ugly [IMPLY] powerful [PERIOD]
wandering [AND] scared [AND] aggressive [IMPLY] polite [PERIOD]
ugly [AND] careless [IMPLY] wandering [PERIOD]
silly [IMPLY] spotless [PERIOD]
ugly [AND] nervous [IMPLY] reserved [PERIOD]
mysterious [AND] careless [AND] nervous [IMPLY] polite [PERIOD]
powerful [AND] hurt [AND] smart [IMPLY] scared [PERIOD]
reserved [AND] spotless [AND] ugly [IMPLY] confused [PERIOD]
smart [AND] aggressive [AND] careless [IMPLY] nervous [PERIOD]
confused [AND] hurt [AND] thoughtless [IMPLY] enchanting [PERIOD]
mysterious [AND] nervous [AND] wandering [IMPLY] ugly [PERIOD]
powerful [IMPLY] victorious [PERIOD]
powerful [AND] silly [AND] scared [IMPLY] aggressive [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   powerful ⇒ victorious
   aggressive ∧ thoughtless ⇒ hurt
   powerful ∧ hurt ∧ smart ⇒ scared
   victorious ∧ scared ⇒ silly
   silly ∧ spotless ∧ powerful ⇒ mysterious
",1,5
"Facts:  Alice is beautiful [PERIOD] Alice is stubborn [PERIOD] Alice is crowded [PERIOD] Alice is dishonest [PERIOD] Alice is fragile [PERIOD]
Rules:
enchanting [IMPLY] fragile [PERIOD]
enchanting [IMPLY] innocent [PERIOD]
quaint [AND] dishonest [AND] elegant [IMPLY] joyous [PERIOD]
elegant [AND] thoughtless [AND] innocent [IMPLY] stubborn [PERIOD]
fragile [AND] enchanting [IMPLY] dishonest [PERIOD]
perfect [AND] tired [AND] joyous [IMPLY] thoughtless [PERIOD]
fine [IMPLY] dishonest [PERIOD]
fragile [IMPLY] quaint [PERIOD]
elegant [AND] fine [IMPLY] crowded [PERIOD]
quaint [AND] beautiful [AND] innocent [IMPLY] crowded [PERIOD]
beautiful [IMPLY] loving [PERIOD]
loving [AND] elegant [AND] dishonest [IMPLY] joyous [PERIOD]
elegant [AND] fragile [IMPLY] crowded [PERIOD]
stubborn [AND] joyous [IMPLY] fragile [PERIOD]
fragile [AND] loving [IMPLY] calm [PERIOD]
innocent [IMPLY] elegant [PERIOD]
calm [IMPLY] thoughtless [PERIOD]
innocent [AND] fragile [AND] crowded [IMPLY] calm [PERIOD]
fine [AND] perfect [IMPLY] crowded [PERIOD]
elegant [AND] loving [AND] joyous [IMPLY] tired [PERIOD]
innocent [IMPLY] calm [PERIOD]
elegant [IMPLY] calm [PERIOD]
beautiful [AND] dishonest [AND] joyous [IMPLY] enchanting [PERIOD]
thoughtless [AND] calm [IMPLY] crowded [PERIOD]
fragile [AND] tired [AND] crowded [IMPLY] innocent [PERIOD]
enchanting [AND] beautiful [IMPLY] tired [PERIOD]
fine [AND] enchanting [IMPLY] loving [PERIOD]
quaint [AND] stubborn [IMPLY] fine [PERIOD]
fine [AND] thoughtless [AND] joyous [IMPLY] fragile [PERIOD]
perfect [AND] crowded [AND] thoughtless [IMPLY] joyous [PERIOD]
crowded [AND] perfect [AND] calm [IMPLY] quaint [PERIOD]
innocent [IMPLY] perfect [PERIOD]
beautiful [AND] thoughtless [AND] stubborn [IMPLY] enchanting [PERIOD]
quaint [IMPLY] stubborn [PERIOD]
calm [AND] beautiful [IMPLY] thoughtless [PERIOD]
fragile [AND] stubborn [AND] fine [IMPLY] perfect [PERIOD]
joyous [AND] fragile [AND] crowded [IMPLY] tired [PERIOD]
joyous [AND] crowded [IMPLY] thoughtless [PERIOD]
perfect [AND] calm [AND] loving [IMPLY] crowded [PERIOD]
loving [AND] tired [IMPLY] fragile [PERIOD]
thoughtless [AND] enchanting [AND] tired [IMPLY] elegant [PERIOD]
stubborn [IMPLY] fragile [PERIOD]
elegant [AND] joyous [IMPLY] enchanting [PERIOD]
fine [AND] elegant [IMPLY] fragile [PERIOD]
fragile [AND] beautiful [AND] elegant [IMPLY] joyous [PERIOD]
quaint [AND] enchanting [AND] fine [IMPLY] perfect [PERIOD]
fragile [IMPLY] fine [PERIOD]
fine [IMPLY] crowded [PERIOD]
fragile [IMPLY] crowded [PERIOD]
tired [IMPLY] elegant [PERIOD]
fragile [AND] thoughtless [AND] calm [IMPLY] stubborn [PERIOD]
thoughtless [AND] crowded [IMPLY] joyous [PERIOD]
innocent [AND] dishonest [IMPLY] joyous [PERIOD]
fine [IMPLY] loving [PERIOD]
thoughtless [AND] fragile [AND] joyous [IMPLY] loving [PERIOD]
loving [AND] fragile [AND] fine [IMPLY] calm [PERIOD]
enchanting [AND] perfect [IMPLY] fine [PERIOD]
stubborn [IMPLY] calm [PERIOD]
joyous [IMPLY] fragile [PERIOD]
dishonest [AND] quaint [AND] calm [IMPLY] thoughtless [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   stubborn ⇒ calm
   calm ⇒ thoughtless
   beautiful ∧ thoughtless ∧ stubborn ⇒ enchanting
   enchanting ⇒ innocent
   innocent ⇒ elegant
",1,5
"Facts:  Alice is zealous [PERIOD]
Rules:
zealous [IMPLY] easy [PERIOD]
easy [AND] loving [IMPLY] helpful [PERIOD]
dull [AND] shiny [AND] careless [IMPLY] uptight [PERIOD]
easy [AND] uptight [AND] loving [IMPLY] beautiful [PERIOD]
supportive [AND] helpful [IMPLY] confused [PERIOD]
easy [AND] zealous [IMPLY] homely [PERIOD]
beautiful [IMPLY] easy [PERIOD]
dull [IMPLY] loving [PERIOD]
beautiful [IMPLY] uptight [PERIOD]
zealous [AND] careless [AND] uptight [IMPLY] homely [PERIOD]
frantic [AND] dull [IMPLY] beautiful [PERIOD]
supportive [AND] uptight [AND] homely [IMPLY] shiny [PERIOD]
confused [IMPLY] helpful [PERIOD]
homely [AND] zealous [AND] shiny [IMPLY] supportive [PERIOD]
mysterious [AND] loving [AND] beautiful [IMPLY] frantic [PERIOD]
frantic [IMPLY] loving [PERIOD]
supportive [IMPLY] confused [PERIOD]
beautiful [AND] careless [IMPLY] easy [PERIOD]
zealous [AND] loving [IMPLY] shiny [PERIOD]
easy [AND] frantic [AND] confused [IMPLY] loving [PERIOD]
zealous [AND] mysterious [IMPLY] easy [PERIOD]
beautiful [AND] easy [AND] mysterious [IMPLY] helpful [PERIOD]
shiny [IMPLY] loving [PERIOD]
supportive [IMPLY] homely [PERIOD]
helpful [AND] confused [AND] careless [IMPLY] mysterious [PERIOD]
loving [AND] careless [IMPLY] supportive [PERIOD]
uptight [IMPLY] easy [PERIOD]
homely [AND] helpful [IMPLY] shiny [PERIOD]
helpful [IMPLY] mysterious [PERIOD]
beautiful [IMPLY] supportive [PERIOD]
confused [AND] zealous [AND] loving [IMPLY] easy [PERIOD]
helpful [IMPLY] dull [PERIOD]
careless [AND] loving [AND] zealous [IMPLY] homely [PERIOD]
uptight [AND] loving [AND] confused [IMPLY] supportive [PERIOD]
shiny [AND] uptight [IMPLY] mysterious [PERIOD]
zealous [IMPLY] careless [PERIOD]
confused [AND] dull [IMPLY] beautiful [PERIOD]
helpful [IMPLY] frantic [PERIOD]
careless [AND] mysterious [IMPLY] shiny [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   zealous ⇒ easy
   easy ∧ zealous ⇒ homely
   Cannot apply rule “homely ∧ zealous ∧ shiny ⇒ supportive” because missing: shiny.
   zealous ⇒ careless
   Cannot apply rule “loving ∧ careless ⇒ supportive” because missing: loving.
   Cannot apply rule “beautiful ⇒ supportive” because missing: beautiful.
   Cannot apply rule “uptight ∧ loving ∧ confused ⇒ supportive” because missing: uptight, loving, confused.
",0,7
"Facts:  Alice is worrisome [PERIOD] Alice is nervous [PERIOD] Alice is proud [PERIOD]
Rules:
muddy [AND] busy [AND] blushing [IMPLY] calm [PERIOD]
muddy [AND] worrisome [AND] inexpensive [IMPLY] straightforward [PERIOD]
bored [AND] versatile [IMPLY] diplomatic [PERIOD]
careless [AND] diplomatic [IMPLY] tidy [PERIOD]
careless [AND] tidy [AND] bored [IMPLY] adorable [PERIOD]
weary [IMPLY] tidy [PERIOD]
hilarious [IMPLY] proud [PERIOD]
nervous [AND] weary [IMPLY] disgusted [PERIOD]
bored [AND] calm [IMPLY] disgusted [PERIOD]
hilarious [AND] weary [AND] busy [IMPLY] spotless [PERIOD]
helpless [IMPLY] spotless [PERIOD]
busy [IMPLY] inexpensive [PERIOD]
disgusted [AND] adorable [IMPLY] nervous [PERIOD]
helpless [AND] weary [AND] worrisome [IMPLY] calm [PERIOD]
foolish [AND] tidy [AND] blushing [IMPLY] fancy [PERIOD]
disgusted [IMPLY] calm [PERIOD]
charming [AND] busy [AND] tidy [IMPLY] weary [PERIOD]
bored [AND] proud [AND] muddy [IMPLY] disgusted [PERIOD]
busy [IMPLY] blushing [PERIOD]
hilarious [AND] versatile [IMPLY] spotless [PERIOD]
versatile [AND] calm [AND] foolish [IMPLY] hilarious [PERIOD]
frightened [AND] foolish [IMPLY] disgusted [PERIOD]
frightened [IMPLY] worrisome [PERIOD]
adorable [AND] zealous [AND] helpless [IMPLY] foolish [PERIOD]
disgusted [IMPLY] inexpensive [PERIOD]
diplomatic [AND] calm [IMPLY] bored [PERIOD]
inexpensive [AND] foolish [IMPLY] straightforward [PERIOD]
nervous [IMPLY] spotless [PERIOD]
diplomatic [AND] tidy [AND] zealous [IMPLY] foolish [PERIOD]
diplomatic [AND] adorable [AND] careless [IMPLY] blushing [PERIOD]
weary [AND] blushing [AND] versatile [IMPLY] worrisome [PERIOD]
bored [IMPLY] hilarious [PERIOD]
disgusted [AND] worrisome [IMPLY] amused [PERIOD]
careless [IMPLY] inexpensive [PERIOD]
worrisome [AND] straightforward [IMPLY] adorable [PERIOD]
busy [AND] versatile [IMPLY] zealous [PERIOD]
busy [AND] helpless [AND] proud [IMPLY] straightforward [PERIOD]
fancy [IMPLY] foolish [PERIOD]
hilarious [AND] muddy [IMPLY] careless [PERIOD]
adorable [AND] charming [AND] zealous [IMPLY] busy [PERIOD]
inexpensive [IMPLY] bored [PERIOD]
nervous [AND] spotless [IMPLY] proud [PERIOD]
diplomatic [IMPLY] helpless [PERIOD]
versatile [IMPLY] frightened [PERIOD]
adorable [IMPLY] blushing [PERIOD]
busy [AND] careless [IMPLY] foolish [PERIOD]
diplomatic [AND] tidy [IMPLY] charming [PERIOD]
muddy [AND] charming [IMPLY] frightened [PERIOD]
frightened [AND] bored [AND] versatile [IMPLY] weary [PERIOD]
weary [AND] nervous [IMPLY] proud [PERIOD]
weary [IMPLY] worrisome [PERIOD]
amused [AND] adorable [AND] foolish [IMPLY] hilarious [PERIOD]
frightened [AND] charming [AND] weary [IMPLY] amused [PERIOD]
charming [AND] amused [IMPLY] hilarious [PERIOD]
muddy [AND] weary [AND] charming [IMPLY] zealous [PERIOD]
amused [AND] frightened [IMPLY] spotless [PERIOD]
bored [AND] straightforward [AND] blushing [IMPLY] adorable [PERIOD]
straightforward [AND] busy [IMPLY] worrisome [PERIOD]
busy [AND] bored [IMPLY] worrisome [PERIOD]
bored [IMPLY] frightened [PERIOD]
amused [AND] spotless [IMPLY] zealous [PERIOD]
straightforward [IMPLY] versatile [PERIOD]
adorable [IMPLY] foolish [PERIOD]
inexpensive [AND] muddy [AND] weary [IMPLY] disgusted [PERIOD]
zealous [AND] adorable [AND] diplomatic [IMPLY] blushing [PERIOD]
nervous [AND] spotless [AND] helpless [IMPLY] straightforward [PERIOD]
fancy [IMPLY] busy [PERIOD]
frightened [IMPLY] straightforward [PERIOD]
straightforward [AND] frightened [IMPLY] nervous [PERIOD]
weary [AND] tidy [AND] charming [IMPLY] spotless [PERIOD]
disgusted [AND] adorable [AND] worrisome [IMPLY] fancy [PERIOD]
calm [AND] spotless [AND] straightforward [IMPLY] zealous [PERIOD]
calm [IMPLY] bored [PERIOD]
helpless [AND] nervous [AND] inexpensive [IMPLY] amused [PERIOD]
disgusted [AND] worrisome [AND] versatile [IMPLY] muddy [PERIOD]
hilarious [AND] careless [IMPLY] charming [PERIOD]
straightforward [AND] worrisome [AND] careless [IMPLY] calm [PERIOD]
muddy [IMPLY] charming [PERIOD]
disgusted [AND] nervous [IMPLY] careless [PERIOD]
foolish [AND] nervous [IMPLY] zealous [PERIOD]
foolish [IMPLY] proud [PERIOD]
worrisome [AND] foolish [AND] hilarious [IMPLY] frightened [PERIOD]
charming [AND] nervous [AND] inexpensive [IMPLY] muddy [PERIOD]
tidy [AND] disgusted [IMPLY] nervous [PERIOD]
muddy [AND] charming [AND] busy [IMPLY] bored [PERIOD]
calm [AND] inexpensive [IMPLY] careless [PERIOD]
fancy [AND] careless [IMPLY] hilarious [PERIOD]
charming [IMPLY] diplomatic [PERIOD]
straightforward [IMPLY] hilarious [PERIOD]
proud [IMPLY] versatile [PERIOD]
spotless [AND] blushing [AND] worrisome [IMPLY] tidy [PERIOD]
worrisome [AND] disgusted [AND] muddy [IMPLY] busy [PERIOD]
spotless [AND] hilarious [AND] versatile [IMPLY] adorable [PERIOD]
straightforward [AND] busy [AND] nervous [IMPLY] tidy [PERIOD]
spotless [AND] calm [AND] worrisome [IMPLY] weary [PERIOD]
inexpensive [IMPLY] amused [PERIOD]
spotless [IMPLY] diplomatic [PERIOD]
versatile [IMPLY] busy [PERIOD]
proud [AND] blushing [IMPLY] nervous [PERIOD]
proud [AND] inexpensive [IMPLY] weary [PERIOD]
zealous [AND] tidy [AND] careless [IMPLY] diplomatic [PERIOD]
frightened [IMPLY] tidy [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   nervous ⇒ spotless
   spotless ⇒ diplomatic
   diplomatic ⇒ helpless
   proud ⇒ versatile
   versatile ⇒ busy
   busy ⇒ inexpensive
   helpless ∧ nervous ∧ inexpensive ⇒ amused
",1,7
"Facts:  Alice is rude [PERIOD] Alice is fragile [PERIOD] Alice is wandering [PERIOD] Alice is easy [PERIOD] Alice is courageous [PERIOD] Alice is thoughtful [PERIOD]
Rules:
wandering [AND] rude [IMPLY] courageous [PERIOD]
courageous [AND] fragile [AND] wandering [IMPLY] easy [PERIOD]
courageous [AND] thoughtful [AND] fragile [IMPLY] rude [PERIOD]
thoughtful [AND] fragile [IMPLY] rude [PERIOD]
fragile [AND] wandering [IMPLY] rude [PERIOD]
rude [AND] thoughtful [IMPLY] wandering [PERIOD]
rude [IMPLY] courageous [PERIOD]
courageous [AND] fragile [AND] rude [IMPLY] wandering [PERIOD]
courageous [AND] thoughtful [AND] wandering [IMPLY] fragile [PERIOD]
thoughtful [IMPLY] easy [PERIOD]
rude [IMPLY] fragile [PERIOD]
thoughtful [AND] wandering [AND] easy [IMPLY] fragile [PERIOD]
thoughtful [AND] easy [IMPLY] rude [PERIOD]
fragile [IMPLY] wandering [PERIOD]
courageous [AND] rude [AND] easy [IMPLY] wandering [PERIOD]
fragile [AND] easy [AND] wandering [IMPLY] thoughtful [PERIOD]
thoughtful [AND] rude [IMPLY] fragile [PERIOD]
wandering [AND] thoughtful [IMPLY] rude [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is lucky [PERIOD] Alice is silly [PERIOD]
Rules:
enchanting [AND] polite [IMPLY] straightforward [PERIOD]
attentive [AND] unpleasant [AND] thoughtless [IMPLY] polite [PERIOD]
impatient [AND] sleepy [IMPLY] intellectual [PERIOD]
unpleasant [IMPLY] quaint [PERIOD]
silly [AND] attentive [IMPLY] versatile [PERIOD]
confident [AND] versatile [IMPLY] thoughtless [PERIOD]
enchanting [AND] messy [IMPLY] confident [PERIOD]
impatient [AND] silly [AND] polite [IMPLY] versatile [PERIOD]
messy [AND] intellectual [AND] thoughtless [IMPLY] silly [PERIOD]
polite [AND] versatile [AND] enchanting [IMPLY] powerful [PERIOD]
versatile [AND] silly [AND] straightforward [IMPLY] sleepy [PERIOD]
messy [IMPLY] silly [PERIOD]
lucky [IMPLY] attentive [PERIOD]
thoughtless [AND] confident [AND] impatient [IMPLY] quaint [PERIOD]
powerful [AND] impatient [IMPLY] messy [PERIOD]
impatient [AND] polite [AND] unpleasant [IMPLY] versatile [PERIOD]
intellectual [AND] thoughtless [AND] messy [IMPLY] enchanting [PERIOD]
attentive [IMPLY] lucky [PERIOD]
silly [IMPLY] polite [PERIOD]
straightforward [AND] impatient [AND] enchanting [IMPLY] powerful [PERIOD]
thoughtless [IMPLY] straightforward [PERIOD]
impatient [IMPLY] confident [PERIOD]
straightforward [AND] lucky [AND] impatient [IMPLY] sleepy [PERIOD]
thoughtless [AND] messy [IMPLY] straightforward [PERIOD]
polite [IMPLY] enchanting [PERIOD]
attentive [IMPLY] quaint [PERIOD]
unpleasant [AND] sleepy [IMPLY] powerful [PERIOD]
silly [AND] intellectual [IMPLY] lucky [PERIOD]
polite [AND] lucky [AND] attentive [IMPLY] messy [PERIOD]
confident [AND] thoughtless [AND] powerful [IMPLY] lucky [PERIOD]
intellectual [AND] quaint [AND] polite [IMPLY] lucky [PERIOD]
unpleasant [AND] silly [AND] sleepy [IMPLY] attentive [PERIOD]
powerful [IMPLY] unpleasant [PERIOD]
silly [IMPLY] intellectual [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   silly ⇒ polite
   lucky ⇒ attentive
   silly ∧ attentive ⇒ versatile
   silly ⇒ polite
   polite ⇒ enchanting
   polite ∧ versatile ∧ enchanting ⇒ powerful
   powerful ⇒ unpleasant
",1,7
"Facts:  Alice is lucky [PERIOD] Alice is distinct [PERIOD] Alice is bored [PERIOD] Alice is outstanding [PERIOD] Alice is sensible [PERIOD] Alice is dull [PERIOD] Alice is elegant [PERIOD] Alice is weary [PERIOD] Alice is broad-minded [PERIOD] Alice is straightforward [PERIOD] Alice is confused [PERIOD]
Rules:
intellectual [AND] elegant [AND] dull [IMPLY] straightforward [PERIOD]
vivacious [AND] distinct [IMPLY] straightforward [PERIOD]
confused [IMPLY] dull [PERIOD]
dull [IMPLY] famous [PERIOD]
troubled [IMPLY] uptight [PERIOD]
fine [AND] troubled [AND] wide-eyed [IMPLY] weary [PERIOD]
bored [AND] vivacious [AND] thoughtful [IMPLY] smart [PERIOD]
intellectual [AND] confused [AND] uptight [IMPLY] hilarious [PERIOD]
weary [AND] innocent [AND] uptight [IMPLY] elegant [PERIOD]
innocent [IMPLY] wide-eyed [PERIOD]
outstanding [AND] distinct [AND] smart [IMPLY] good [PERIOD]
wide-eyed [AND] smart [IMPLY] innocent [PERIOD]
weary [AND] smart [AND] famous [IMPLY] dull [PERIOD]
zealous [AND] outstanding [IMPLY] confused [PERIOD]
smart [AND] hilarious [AND] wide-eyed [IMPLY] rational [PERIOD]
weary [AND] vivacious [AND] fine [IMPLY] sensible [PERIOD]
innocent [IMPLY] elegant [PERIOD]
talented [IMPLY] sensible [PERIOD]
hilarious [AND] dull [AND] vivacious [IMPLY] uptight [PERIOD]
talented [AND] intellectual [AND] elegant [IMPLY] inexpensive [PERIOD]
tense [AND] good [IMPLY] broad-minded [PERIOD]
wide-eyed [AND] thoughtful [IMPLY] strange [PERIOD]
weary [AND] elegant [IMPLY] fine [PERIOD]
fine [AND] lucky [AND] confused [IMPLY] famous [PERIOD]
uptight [AND] innocent [AND] thoughtful [IMPLY] weary [PERIOD]
hilarious [AND] bored [IMPLY] lucky [PERIOD]
famous [AND] tense [IMPLY] lucky [PERIOD]
smart [IMPLY] weary [PERIOD]
good [AND] straightforward [IMPLY] sensible [PERIOD]
fine [IMPLY] elegant [PERIOD]
bored [AND] rational [AND] sensible [IMPLY] tense [PERIOD]
bored [AND] intellectual [AND] dull [IMPLY] uptight [PERIOD]
confused [AND] weary [AND] bored [IMPLY] hilarious [PERIOD]
lucky [AND] distinct [IMPLY] elegant [PERIOD]
bored [AND] vivacious [AND] straightforward [IMPLY] zealous [PERIOD]
hilarious [IMPLY] straightforward [PERIOD]
outstanding [AND] weary [IMPLY] bored [PERIOD]
innocent [AND] weary [AND] sensible [IMPLY] inexpensive [PERIOD]
zealous [AND] fine [IMPLY] troubled [PERIOD]
bored [AND] thoughtful [IMPLY] talented [PERIOD]
broad-minded [IMPLY] inexpensive [PERIOD]
talented [AND] strange [IMPLY] weary [PERIOD]
inexpensive [AND] tense [IMPLY] rational [PERIOD]
fine [AND] bored [IMPLY] confused [PERIOD]
outstanding [IMPLY] hilarious [PERIOD]
famous [IMPLY] good [PERIOD]
talented [AND] outstanding [IMPLY] fine [PERIOD]
strange [IMPLY] zealous [PERIOD]
distinct [AND] intellectual [IMPLY] fine [PERIOD]
famous [AND] intellectual [AND] dull [IMPLY] elegant [PERIOD]
troubled [AND] tense [IMPLY] smart [PERIOD]
innocent [AND] sensible [AND] straightforward [IMPLY] famous [PERIOD]
zealous [AND] sensible [AND] distinct [IMPLY] lucky [PERIOD]
elegant [AND] fine [AND] strange [IMPLY] vivacious [PERIOD]
intellectual [AND] vivacious [AND] elegant [IMPLY] broad-minded [PERIOD]
talented [AND] wide-eyed [AND] confused [IMPLY] intellectual [PERIOD]
distinct [AND] fine [AND] wide-eyed [IMPLY] tense [PERIOD]
straightforward [IMPLY] troubled [PERIOD]
elegant [AND] distinct [AND] hilarious [IMPLY] famous [PERIOD]
wide-eyed [AND] bored [AND] sensible [IMPLY] confused [PERIOD]
weary [AND] fine [IMPLY] famous [PERIOD]
uptight [IMPLY] hilarious [PERIOD]
intellectual [AND] vivacious [AND] dull [IMPLY] tense [PERIOD]
rational [AND] talented [IMPLY] intellectual [PERIOD]
strange [AND] vivacious [IMPLY] talented [PERIOD]
weary [IMPLY] straightforward [PERIOD]
vivacious [IMPLY] broad-minded [PERIOD]
zealous [IMPLY] fine [PERIOD]
inexpensive [AND] vivacious [AND] intellectual [IMPLY] fine [PERIOD]
outstanding [IMPLY] strange [PERIOD]
intellectual [AND] weary [AND] elegant [IMPLY] fine [PERIOD]
thoughtful [AND] elegant [AND] tense [IMPLY] outstanding [PERIOD]
lucky [AND] thoughtful [AND] zealous [IMPLY] vivacious [PERIOD]
thoughtful [AND] dull [IMPLY] famous [PERIOD]
weary [AND] inexpensive [IMPLY] sensible [PERIOD]
hilarious [IMPLY] distinct [PERIOD]
outstanding [IMPLY] innocent [PERIOD]
straightforward [AND] dull [AND] vivacious [IMPLY] uptight [PERIOD]
wide-eyed [AND] hilarious [AND] straightforward [IMPLY] strange [PERIOD]
straightforward [AND] strange [IMPLY] broad-minded [PERIOD]
elegant [IMPLY] sensible [PERIOD]
tense [AND] dull [IMPLY] outstanding [PERIOD]
inexpensive [AND] weary [AND] thoughtful [IMPLY] wide-eyed [PERIOD]
fine [AND] lucky [AND] bored [IMPLY] good [PERIOD]
elegant [AND] uptight [IMPLY] straightforward [PERIOD]
famous [IMPLY] weary [PERIOD]
uptight [AND] inexpensive [AND] talented [IMPLY] confused [PERIOD]
tense [AND] rational [AND] outstanding [IMPLY] fine [PERIOD]
famous [AND] rational [AND] confused [IMPLY] inexpensive [PERIOD]
zealous [AND] vivacious [IMPLY] hilarious [PERIOD]
talented [AND] innocent [IMPLY] elegant [PERIOD]
uptight [AND] intellectual [AND] good [IMPLY] smart [PERIOD]
famous [AND] rational [IMPLY] good [PERIOD]
good [IMPLY] wide-eyed [PERIOD]
rational [IMPLY] uptight [PERIOD]
strange [AND] talented [IMPLY] famous [PERIOD]
broad-minded [AND] dull [IMPLY] troubled [PERIOD]
sensible [AND] dull [IMPLY] elegant [PERIOD]
vivacious [AND] good [IMPLY] bored [PERIOD]
zealous [AND] inexpensive [AND] intellectual [IMPLY] innocent [PERIOD]
rational [AND] intellectual [AND] broad-minded [IMPLY] famous [PERIOD]
sensible [AND] rational [AND] broad-minded [IMPLY] talented [PERIOD]
vivacious [AND] dull [AND] strange [IMPLY] thoughtful [PERIOD]
zealous [AND] vivacious [AND] straightforward [IMPLY] talented [PERIOD]
inexpensive [IMPLY] elegant [PERIOD]
elegant [AND] fine [AND] tense [IMPLY] lucky [PERIOD]
fine [AND] zealous [AND] straightforward [IMPLY] elegant [PERIOD]
zealous [AND] straightforward [AND] confused [IMPLY] troubled [PERIOD]
good [AND] famous [IMPLY] intellectual [PERIOD]
inexpensive [IMPLY] strange [PERIOD]
outstanding [AND] famous [AND] dull [IMPLY] elegant [PERIOD]
weary [AND] thoughtful [IMPLY] elegant [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   broad-minded ⇒ inexpensive
   weary ∧ elegant ⇒ fine
   outstanding ⇒ innocent
   innocent ⇒ wide-eyed
   distinct ∧ fine ∧ wide-eyed ⇒ tense
   inexpensive ∧ tense ⇒ rational
",1,6
"Facts: 
Rules:
foolish [IMPLY] muddy [PERIOD]
impatient [AND] intellectual [AND] bright [IMPLY] muddy [PERIOD]
witty [AND] impatient [IMPLY] bright [PERIOD]
anxious [AND] outrageous [IMPLY] friendly [PERIOD]
bright [AND] elated [IMPLY] anxious [PERIOD]
muddy [AND] hilarious [AND] anxious [IMPLY] impatient [PERIOD]
hilarious [AND] bright [AND] long [IMPLY] tidy [PERIOD]
bad-tempered [AND] anxious [IMPLY] tidy [PERIOD]
elated [IMPLY] foolish [PERIOD]
hilarious [AND] outrageous [AND] elated [IMPLY] witty [PERIOD]
hilarious [AND] muddy [AND] bad-tempered [IMPLY] long [PERIOD]
elated [AND] outrageous [AND] foolish [IMPLY] bright [PERIOD]
elated [IMPLY] anxious [PERIOD]
tidy [AND] bright [IMPLY] witty [PERIOD]
intellectual [AND] tidy [IMPLY] impatient [PERIOD]
outrageous [AND] hilarious [IMPLY] foolish [PERIOD]
outrageous [IMPLY] anxious [PERIOD]
hilarious [AND] elated [AND] witty [IMPLY] bright [PERIOD]
impatient [IMPLY] foolish [PERIOD]
spotless [IMPLY] intellectual [PERIOD]
hilarious [IMPLY] muddy [PERIOD]
foolish [AND] muddy [AND] long [IMPLY] intellectual [PERIOD]
muddy [AND] bright [AND] tidy [IMPLY] long [PERIOD]
spotless [AND] bad-tempered [IMPLY] outrageous [PERIOD]
witty [IMPLY] long [PERIOD]
bad-tempered [IMPLY] bright [PERIOD]
spotless [AND] foolish [AND] outrageous [IMPLY] impatient [PERIOD]
muddy [IMPLY] anxious [PERIOD]
foolish [IMPLY] tidy [PERIOD]
hilarious [AND] muddy [AND] tidy [IMPLY] long [PERIOD]
elated [IMPLY] witty [PERIOD]
hilarious [IMPLY] foolish [PERIOD]
tidy [AND] muddy [IMPLY] long [PERIOD]
long [AND] bad-tempered [IMPLY] elated [PERIOD]
impatient [AND] muddy [AND] bright [IMPLY] tidy [PERIOD]
outrageous [AND] friendly [IMPLY] bad-tempered [PERIOD]
elated [IMPLY] impatient [PERIOD]
tidy [AND] impatient [IMPLY] muddy [PERIOD]
hilarious [AND] muddy [AND] long [IMPLY] elated [PERIOD]
bad-tempered [IMPLY] outrageous [PERIOD]
foolish [AND] tidy [IMPLY] impatient [PERIOD]
outrageous [AND] anxious [AND] friendly [IMPLY] foolish [PERIOD]
outrageous [AND] tidy [IMPLY] impatient [PERIOD]
muddy [IMPLY] foolish [PERIOD]
bright [AND] tidy [IMPLY] spotless [PERIOD]
bright [AND] foolish [AND] spotless [IMPLY] elated [PERIOD]
spotless [IMPLY] anxious [PERIOD]
tidy [IMPLY] impatient [PERIOD]
intellectual [AND] anxious [AND] spotless [IMPLY] witty [PERIOD]
impatient [AND] friendly [AND] muddy [IMPLY] spotless [PERIOD]
foolish [AND] hilarious [AND] elated [IMPLY] outrageous [PERIOD]
tidy [IMPLY] muddy [PERIOD]
intellectual [AND] spotless [AND] impatient [IMPLY] long [PERIOD]
friendly [AND] spotless [IMPLY] elated [PERIOD]
muddy [IMPLY] intellectual [PERIOD]
bright [AND] witty [AND] outrageous [IMPLY] foolish [PERIOD]
bad-tempered [AND] tidy [AND] outrageous [IMPLY] witty [PERIOD]
hilarious [AND] impatient [AND] elated [IMPLY] bad-tempered [PERIOD]
spotless [AND] witty [IMPLY] muddy [PERIOD]
hilarious [AND] bad-tempered [IMPLY] witty [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   Cannot apply rule “hilarious ∧ outrageous ∧ elated ⇒ witty” because missing: hilarious, outrageous, elated.
   Cannot apply rule “tidy ∧ bright ⇒ witty” because missing: tidy, bright.
   Cannot apply rule “elated ⇒ witty” because missing: elated.
   Cannot apply rule “intellectual ∧ anxious ∧ spotless ⇒ witty” because missing: intellectual, anxious, spotless.
   Cannot apply rule “bad-tempered ∧ tidy ∧ outrageous ⇒ witty” because missing: bad-tempered, tidy, outrageous.
   Cannot apply rule “hilarious ∧ bad-tempered ⇒ witty” because missing: hilarious, bad-tempered.
",0,6
"Facts: 
Rules:
courageous [AND] rational [IMPLY] helpful [PERIOD]
nervous [AND] gleaming [IMPLY] helpful [PERIOD]
lonely [IMPLY] combative [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   No rule concludes “homely.”
",0,1
"Facts:  Alice is outstanding [PERIOD] Alice is strange [PERIOD] Alice is curious [PERIOD] Alice is stormy [PERIOD] Alice is combative [PERIOD] Alice is selfish [PERIOD] Alice is lonely [PERIOD] Alice is worried [PERIOD] Alice is tidy [PERIOD]
Rules:
blushing [AND] adorable [AND] supportive [IMPLY] tidy [PERIOD]
troubled [IMPLY] selfish [PERIOD]
joyous [IMPLY] crowded [PERIOD]
stormy [AND] condemned [AND] supportive [IMPLY] frantic [PERIOD]
gifted [AND] selfish [IMPLY] vivacious [PERIOD]
crowded [AND] curious [IMPLY] strange [PERIOD]
condemned [IMPLY] bossy [PERIOD]
bored [AND] frantic [IMPLY] aggressive [PERIOD]
clean [AND] curious [IMPLY] helpful [PERIOD]
outstanding [AND] bossy [AND] crowded [IMPLY] joyous [PERIOD]
tidy [AND] frantic [AND] bored [IMPLY] gifted [PERIOD]
supportive [IMPLY] combative [PERIOD]
joyous [IMPLY] strange [PERIOD]
stormy [AND] crowded [AND] lonely [IMPLY] bossy [PERIOD]
bored [AND] selfish [AND] gifted [IMPLY] outstanding [PERIOD]
adorable [AND] tidy [AND] vivacious [IMPLY] supportive [PERIOD]
condemned [AND] crowded [AND] frantic [IMPLY] stormy [PERIOD]
selfish [IMPLY] blushing [PERIOD]
helpful [AND] combative [IMPLY] crowded [PERIOD]
troubled [IMPLY] beautiful [PERIOD]
aggressive [AND] beautiful [IMPLY] stormy [PERIOD]
tidy [AND] beautiful [AND] adorable [IMPLY] crowded [PERIOD]
strange [AND] combative [IMPLY] blushing [PERIOD]
frantic [AND] outstanding [IMPLY] bored [PERIOD]
gifted [IMPLY] combative [PERIOD]
condemned [AND] joyous [AND] tidy [IMPLY] bored [PERIOD]
joyous [AND] bored [IMPLY] vivacious [PERIOD]
troubled [IMPLY] worried [PERIOD]
bored [AND] helpful [AND] supportive [IMPLY] condemned [PERIOD]
beautiful [AND] aggressive [AND] vivacious [IMPLY] stormy [PERIOD]
stormy [AND] clean [AND] gifted [IMPLY] selfish [PERIOD]
stormy [IMPLY] outstanding [PERIOD]
outstanding [AND] bored [IMPLY] gifted [PERIOD]
outstanding [AND] vivacious [IMPLY] tidy [PERIOD]
outstanding [AND] bossy [IMPLY] combative [PERIOD]
outstanding [IMPLY] helpful [PERIOD]
gifted [AND] clean [IMPLY] helpful [PERIOD]
condemned [IMPLY] curious [PERIOD]
joyous [AND] supportive [AND] combative [IMPLY] gifted [PERIOD]
bored [AND] adorable [AND] combative [IMPLY] worried [PERIOD]
helpful [AND] clean [IMPLY] supportive [PERIOD]
beautiful [AND] crowded [IMPLY] frantic [PERIOD]
blushing [AND] frantic [AND] joyous [IMPLY] bored [PERIOD]
vivacious [AND] lonely [AND] strange [IMPLY] worried [PERIOD]
combative [AND] lonely [IMPLY] outstanding [PERIOD]
stormy [AND] strange [IMPLY] beautiful [PERIOD]
adorable [IMPLY] combative [PERIOD]
gifted [IMPLY] stormy [PERIOD]
beautiful [AND] blushing [IMPLY] strange [PERIOD]
strange [AND] frantic [IMPLY] outstanding [PERIOD]
stormy [AND] blushing [AND] joyous [IMPLY] strange [PERIOD]
curious [AND] helpful [IMPLY] supportive [PERIOD]
vivacious [IMPLY] aggressive [PERIOD]
frantic [AND] clean [AND] gifted [IMPLY] tidy [PERIOD]
supportive [IMPLY] helpful [PERIOD]
joyous [IMPLY] combative [PERIOD]
joyous [AND] worried [IMPLY] tidy [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   outstanding ⇒ helpful
   helpful ∧ combative ⇒ crowded
   stormy ∧ crowded ∧ lonely ⇒ bossy
",1,3
"Facts:  Alice is fragile [PERIOD]
Rules:
worried [AND] distinct [AND] charming [IMPLY] old-fashioned [PERIOD]
intellectual [IMPLY] bossy [PERIOD]
bored [IMPLY] fragile [PERIOD]
old-fashioned [AND] wide-eyed [AND] stubborn [IMPLY] fragile [PERIOD]
long [AND] stubborn [IMPLY] attractive [PERIOD]
charming [IMPLY] bored [PERIOD]
bossy [IMPLY] joyous [PERIOD]
bored [AND] disobedient [IMPLY] different [PERIOD]
innocent [AND] adorable [AND] disobedient [IMPLY] charming [PERIOD]
distinct [AND] innocent [AND] ugliest [IMPLY] old-fashioned [PERIOD]
attractive [AND] old-fashioned [AND] bored [IMPLY] stubborn [PERIOD]
attractive [AND] innocent [IMPLY] wide-eyed [PERIOD]
adorable [AND] worried [IMPLY] disobedient [PERIOD]
thoughtful [AND] attractive [IMPLY] worried [PERIOD]
bossy [IMPLY] thoughtful [PERIOD]
attractive [AND] disobedient [IMPLY] worried [PERIOD]
adorable [AND] fragile [IMPLY] attractive [PERIOD]
worried [IMPLY] disobedient [PERIOD]
gorgeous [AND] disobedient [IMPLY] attractive [PERIOD]
adorable [IMPLY] attractive [PERIOD]
gorgeous [IMPLY] innocent [PERIOD]
joyous [IMPLY] gorgeous [PERIOD]
wide-eyed [AND] fragile [AND] adorable [IMPLY] different [PERIOD]
intellectual [IMPLY] polite [PERIOD]
disobedient [IMPLY] fragile [PERIOD]
thoughtful [AND] fragile [AND] old-fashioned [IMPLY] intellectual [PERIOD]
old-fashioned [AND] different [IMPLY] polite [PERIOD]
adorable [AND] gorgeous [IMPLY] different [PERIOD]
innocent [AND] gorgeous [AND] different [IMPLY] adorable [PERIOD]
charming [AND] disobedient [IMPLY] stubborn [PERIOD]
ugliest [AND] charming [AND] polite [IMPLY] different [PERIOD]
old-fashioned [IMPLY] bossy [PERIOD]
ugliest [IMPLY] fragile [PERIOD]
bored [AND] distinct [IMPLY] innocent [PERIOD]
bossy [AND] ugliest [AND] wide-eyed [IMPLY] joyous [PERIOD]
innocent [IMPLY] long [PERIOD]
wide-eyed [AND] bossy [IMPLY] bored [PERIOD]
thoughtful [AND] fragile [AND] long [IMPLY] wide-eyed [PERIOD]
intellectual [IMPLY] bored [PERIOD]
charming [AND] wide-eyed [AND] worried [IMPLY] distinct [PERIOD]
ugliest [IMPLY] distinct [PERIOD]
intellectual [AND] joyous [IMPLY] attractive [PERIOD]
innocent [AND] bored [AND] stubborn [IMPLY] disobedient [PERIOD]
polite [AND] bossy [IMPLY] distinct [PERIOD]
gorgeous [IMPLY] intellectual [PERIOD]
gorgeous [AND] wide-eyed [IMPLY] bored [PERIOD]
disobedient [IMPLY] innocent [PERIOD]
innocent [AND] gorgeous [IMPLY] bossy [PERIOD]
innocent [AND] long [IMPLY] distinct [PERIOD]
worried [AND] ugliest [AND] bored [IMPLY] disobedient [PERIOD]
attractive [IMPLY] charming [PERIOD]
disobedient [AND] intellectual [IMPLY] thoughtful [PERIOD]
joyous [IMPLY] distinct [PERIOD]
fragile [AND] gorgeous [AND] charming [IMPLY] ugliest [PERIOD]
intellectual [IMPLY] worried [PERIOD]
fragile [IMPLY] stubborn [PERIOD]
intellectual [IMPLY] joyous [PERIOD]
bored [AND] attractive [IMPLY] worried [PERIOD]
different [AND] wide-eyed [IMPLY] fragile [PERIOD]
fragile [AND] bored [IMPLY] distinct [PERIOD]
thoughtful [AND] intellectual [IMPLY] bossy [PERIOD]
polite [IMPLY] long [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   fragile ⇒ stubborn
   Cannot apply rule “long ∧ stubborn ⇒ attractive” because missing: long.
   Cannot apply rule “adorable ∧ fragile ⇒ attractive” because missing: adorable.
   Cannot apply rule “gorgeous ∧ disobedient ⇒ attractive” because missing: gorgeous, disobedient.
   Cannot apply rule “adorable ⇒ attractive” because missing: adorable.
   Cannot apply rule “intellectual ∧ joyous ⇒ attractive” because missing: intellectual, joyous.
",0,6
"Facts:  Alice is stormy [PERIOD] Alice is sincere [PERIOD] Alice is combative [PERIOD] Alice is zealous [PERIOD] Alice is enchanting [PERIOD]
Rules:
cute [AND] exuberant [IMPLY] wide-eyed [PERIOD]
strange [IMPLY] combative [PERIOD]
ugly [IMPLY] stormy [PERIOD]
sincere [AND] dishonest [IMPLY] outrageous [PERIOD]
confident [AND] dishonest [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] hilarious [AND] strange [IMPLY] confident [PERIOD]
bossy [AND] zealous [AND] ugly [IMPLY] cute [PERIOD]
enchanting [IMPLY] ugly [PERIOD]
confident [AND] enchanting [AND] dishonest [IMPLY] sincere [PERIOD]
outrageous [AND] ugly [IMPLY] confident [PERIOD]
cute [AND] exuberant [AND] strange [IMPLY] wide-eyed [PERIOD]
confident [IMPLY] outrageous [PERIOD]
exuberant [AND] sincere [IMPLY] ugly [PERIOD]
silly [AND] dishonest [IMPLY] enchanting [PERIOD]
exuberant [AND] stormy [AND] confident [IMPLY] outrageous [PERIOD]
cute [IMPLY] ugly [PERIOD]
enchanting [AND] sincere [IMPLY] confident [PERIOD]
stormy [AND] strange [IMPLY] confident [PERIOD]
confident [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] sincere [PERIOD]
confident [IMPLY] silly [PERIOD]
combative [AND] sincere [IMPLY] bossy [PERIOD]
stormy [AND] hilarious [AND] zealous [IMPLY] confident [PERIOD]
hilarious [AND] combative [AND] zealous [IMPLY] enchanting [PERIOD]
cute [IMPLY] zealous [PERIOD]
hilarious [AND] combative [AND] stormy [IMPLY] confident [PERIOD]
enchanting [AND] wide-eyed [AND] exuberant [IMPLY] ugly [PERIOD]
bossy [AND] outrageous [IMPLY] exuberant [PERIOD]
silly [IMPLY] strange [PERIOD]
sincere [IMPLY] exuberant [PERIOD]
exuberant [AND] confident [AND] enchanting [IMPLY] strange [PERIOD]
bossy [AND] enchanting [IMPLY] combative [PERIOD]
exuberant [AND] sincere [IMPLY] silly [PERIOD]
stormy [AND] confident [IMPLY] dishonest [PERIOD]
outrageous [AND] stormy [AND] ugly [IMPLY] cute [PERIOD]
exuberant [AND] dishonest [AND] ugly [IMPLY] wide-eyed [PERIOD]
confident [AND] silly [IMPLY] ugly [PERIOD]
ugly [AND] strange [AND] wide-eyed [IMPLY] cute [PERIOD]
sincere [AND] ugly [IMPLY] bossy [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   sincere ⇒ exuberant
   enchanting ∧ sincere ⇒ confident
   exuberant ∧ confident ∧ enchanting ⇒ strange
",1,3
"Facts:  Alice is pessimistic [PERIOD]
Rules:
embarrassed [IMPLY] naughty [PERIOD]
embarrassed [AND] friendly [AND] pessimistic [IMPLY] curious [PERIOD]
confused [AND] pessimistic [IMPLY] alert [PERIOD]
courageous [AND] friendly [AND] confused [IMPLY] alert [PERIOD]
courageous [IMPLY] confused [PERIOD]
naughty [AND] curious [AND] light [IMPLY] embarrassed [PERIOD]
light [IMPLY] naughty [PERIOD]
confused [IMPLY] pessimistic [PERIOD]
confused [AND] embarrassed [AND] courageous [IMPLY] pessimistic [PERIOD]
naughty [IMPLY] pessimistic [PERIOD]
light [IMPLY] pessimistic [PERIOD]
pessimistic [AND] alert [IMPLY] curious [PERIOD]
light [AND] friendly [AND] pessimistic [IMPLY] alert [PERIOD]
courageous [AND] naughty [AND] confused [IMPLY] embarrassed [PERIOD]
light [AND] friendly [AND] confused [IMPLY] curious [PERIOD]
alert [AND] friendly [AND] naughty [IMPLY] courageous [PERIOD]
friendly [IMPLY] confused [PERIOD]
curious [AND] embarrassed [AND] pessimistic [IMPLY] confused [PERIOD]
embarrassed [AND] confused [IMPLY] alert [PERIOD]
embarrassed [AND] friendly [AND] curious [IMPLY] alert [PERIOD]
light [IMPLY] curious [PERIOD]
curious [AND] light [IMPLY] naughty [PERIOD]
pessimistic [AND] courageous [AND] light [IMPLY] embarrassed [PERIOD]
embarrassed [AND] curious [AND] courageous [IMPLY] alert [PERIOD]
naughty [AND] embarrassed [AND] alert [IMPLY] light [PERIOD]
pessimistic [AND] naughty [IMPLY] embarrassed [PERIOD]
curious [AND] naughty [IMPLY] embarrassed [PERIOD]
pessimistic [IMPLY] light [PERIOD]
pessimistic [AND] curious [AND] alert [IMPLY] naughty [PERIOD]
confused [AND] embarrassed [IMPLY] light [PERIOD]
courageous [AND] friendly [IMPLY] pessimistic [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   pessimistic ⇒ light
   light ⇒ naughty
   pessimistic ⇒ light
   light ⇒ curious
   pessimistic ⇒ light
   naughty ∧ curious ∧ light ⇒ embarrassed
",1,6
"Facts:  Alice is nervous [PERIOD] Alice is ugly [PERIOD] Alice is fragile [PERIOD] Alice is worried [PERIOD] Alice is precious [PERIOD] Alice is spotless [PERIOD] Alice is vivacious [PERIOD] Alice is fancy [PERIOD] Alice is hurt [PERIOD] Alice is wrong [PERIOD]
Rules:
straightforward [IMPLY] fancy [PERIOD]
nervous [IMPLY] good [PERIOD]
hurt [AND] joyous [IMPLY] wrong [PERIOD]
bossy [IMPLY] fancy [PERIOD]
joyous [AND] spotless [AND] fragile [IMPLY] ugly [PERIOD]
straightforward [IMPLY] vivacious [PERIOD]
fragile [AND] wrong [AND] spotless [IMPLY] easy [PERIOD]
sincere [AND] easy [IMPLY] precious [PERIOD]
good [AND] fragile [AND] charming [IMPLY] easy [PERIOD]
fragile [IMPLY] wide-eyed [PERIOD]
worried [IMPLY] sincere [PERIOD]
precious [AND] wide-eyed [IMPLY] charming [PERIOD]
fragile [AND] bossy [AND] wide-eyed [IMPLY] worried [PERIOD]
straightforward [IMPLY] easy [PERIOD]
mean [AND] sincere [AND] spotless [IMPLY] easy [PERIOD]
hurt [IMPLY] easy [PERIOD]
fragile [AND] straightforward [AND] joyous [IMPLY] wrong [PERIOD]
joyous [AND] good [AND] hurt [IMPLY] straightforward [PERIOD]
charming [IMPLY] good [PERIOD]
wide-eyed [AND] aggressive [IMPLY] spotless [PERIOD]
bossy [IMPLY] easy [PERIOD]
wrong [IMPLY] bossy [PERIOD]
nervous [AND] spotless [IMPLY] fragile [PERIOD]
easy [AND] bossy [AND] ugly [IMPLY] fancy [PERIOD]
mean [IMPLY] straightforward [PERIOD]
wide-eyed [IMPLY] wrong [PERIOD]
joyous [IMPLY] fancy [PERIOD]
precious [AND] wrong [IMPLY] charming [PERIOD]
fancy [IMPLY] straightforward [PERIOD]
ugly [AND] straightforward [IMPLY] joyous [PERIOD]
precious [AND] worried [IMPLY] good [PERIOD]
ugly [AND] sincere [IMPLY] hurt [PERIOD]
worried [AND] charming [AND] joyous [IMPLY] aggressive [PERIOD]
charming [AND] wide-eyed [IMPLY] straightforward [PERIOD]
charming [IMPLY] hurt [PERIOD]
charming [AND] easy [IMPLY] straightforward [PERIOD]
precious [IMPLY] fancy [PERIOD]
wide-eyed [IMPLY] fancy [PERIOD]
mean [IMPLY] easy [PERIOD]
sincere [AND] precious [IMPLY] wide-eyed [PERIOD]
ugly [AND] fragile [IMPLY] bossy [PERIOD]
aggressive [IMPLY] ugly [PERIOD]
ugly [AND] easy [AND] straightforward [IMPLY] fancy [PERIOD]
joyous [AND] aggressive [IMPLY] fancy [PERIOD]
fancy [AND] aggressive [IMPLY] good [PERIOD]
hurt [AND] ugly [IMPLY] vivacious [PERIOD]
spotless [AND] vivacious [AND] wide-eyed [IMPLY] aggressive [PERIOD]
fancy [AND] spotless [IMPLY] fragile [PERIOD]
straightforward [AND] fancy [AND] vivacious [IMPLY] bossy [PERIOD]
worried [AND] joyous [IMPLY] easy [PERIOD]
straightforward [AND] joyous [AND] nervous [IMPLY] fancy [PERIOD]
mean [IMPLY] worried [PERIOD]
fancy [AND] wide-eyed [IMPLY] joyous [PERIOD]
easy [AND] bossy [AND] aggressive [IMPLY] vivacious [PERIOD]
sincere [IMPLY] bossy [PERIOD]
wrong [AND] fancy [IMPLY] sincere [PERIOD]
spotless [AND] good [IMPLY] straightforward [PERIOD]
mean [AND] vivacious [AND] charming [IMPLY] ugly [PERIOD]
joyous [AND] bossy [AND] ugly [IMPLY] hurt [PERIOD]
bossy [AND] ugly [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] good [AND] aggressive [IMPLY] hurt [PERIOD]
bossy [IMPLY] hurt [PERIOD]
aggressive [AND] precious [AND] fancy [IMPLY] wide-eyed [PERIOD]
hurt [AND] sincere [AND] vivacious [IMPLY] good [PERIOD]
wrong [IMPLY] fancy [PERIOD]
mean [AND] spotless [AND] fragile [IMPLY] wrong [PERIOD]
fancy [AND] straightforward [IMPLY] sincere [PERIOD]
hurt [AND] wide-eyed [AND] spotless [IMPLY] sincere [PERIOD]
sincere [AND] easy [IMPLY] mean [PERIOD]
precious [AND] hurt [IMPLY] spotless [PERIOD]
bossy [IMPLY] sincere [PERIOD]
charming [AND] mean [IMPLY] precious [PERIOD]
joyous [AND] bossy [IMPLY] fragile [PERIOD]
bossy [AND] aggressive [IMPLY] straightforward [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is bossy [PERIOD] Alice is intellectual [PERIOD] Alice is stormy [PERIOD] Alice is scared [PERIOD] Alice is cooperative [PERIOD] Alice is courageous [PERIOD] Alice is long [PERIOD] Alice is excited [PERIOD] Alice is impatient [PERIOD]
Rules:
glamorous [AND] dishonest [IMPLY] stormy [PERIOD]
intellectual [IMPLY] glamorous [PERIOD]
disobedient [IMPLY] dishonest [PERIOD]
disobedient [IMPLY] scared [PERIOD]
long [IMPLY] intellectual [PERIOD]
courageous [AND] impatient [AND] glamorous [IMPLY] stormy [PERIOD]
stormy [AND] intellectual [AND] dishonest [IMPLY] scared [PERIOD]
excited [IMPLY] long [PERIOD]
condemned [AND] glamorous [AND] disobedient [IMPLY] cooperative [PERIOD]
impatient [AND] glamorous [IMPLY] condemned [PERIOD]
cooperative [AND] disobedient [AND] loving [IMPLY] glamorous [PERIOD]
glamorous [AND] condemned [AND] courageous [IMPLY] impatient [PERIOD]
disobedient [IMPLY] impatient [PERIOD]
long [IMPLY] dishonest [PERIOD]
courageous [AND] excited [AND] impatient [IMPLY] scared [PERIOD]
ugly [AND] long [IMPLY] disobedient [PERIOD]
stormy [AND] disobedient [AND] loving [IMPLY] courageous [PERIOD]
elegant [AND] ugly [AND] excited [IMPLY] intellectual [PERIOD]
bossy [IMPLY] intellectual [PERIOD]
long [AND] bossy [AND] dishonest [IMPLY] elegant [PERIOD]
long [AND] bossy [IMPLY] loving [PERIOD]
bossy [AND] impatient [IMPLY] stormy [PERIOD]
scared [AND] cooperative [AND] excited [IMPLY] long [PERIOD]
long [AND] disobedient [AND] loving [IMPLY] intellectual [PERIOD]
glamorous [IMPLY] courageous [PERIOD]
stormy [IMPLY] glamorous [PERIOD]
elegant [IMPLY] cooperative [PERIOD]
disobedient [AND] excited [AND] ugly [IMPLY] intellectual [PERIOD]
long [AND] loving [IMPLY] impatient [PERIOD]
cooperative [AND] bossy [AND] glamorous [IMPLY] long [PERIOD]
cooperative [AND] stormy [AND] ugly [IMPLY] condemned [PERIOD]
bossy [AND] condemned [IMPLY] excited [PERIOD]
stormy [IMPLY] disobedient [PERIOD]
elegant [AND] stormy [AND] glamorous [IMPLY] ugly [PERIOD]
bossy [AND] cooperative [AND] intellectual [IMPLY] impatient [PERIOD]
scared [IMPLY] excited [PERIOD]
condemned [IMPLY] scared [PERIOD]
condemned [AND] impatient [AND] excited [IMPLY] glamorous [PERIOD]
intellectual [AND] dishonest [IMPLY] stormy [PERIOD]
long [IMPLY] condemned [PERIOD]
stormy [AND] glamorous [IMPLY] elegant [PERIOD]
ugly [AND] stormy [AND] cooperative [IMPLY] excited [PERIOD]
elegant [AND] bossy [AND] dishonest [IMPLY] stormy [PERIOD]
long [AND] disobedient [AND] intellectual [IMPLY] stormy [PERIOD]
glamorous [AND] dishonest [AND] elegant [IMPLY] intellectual [PERIOD]
cooperative [AND] stormy [IMPLY] dishonest [PERIOD]
dishonest [AND] courageous [IMPLY] bossy [PERIOD]
excited [IMPLY] stormy [PERIOD]
disobedient [AND] condemned [IMPLY] long [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   long ⇒ dishonest
   long ∧ bossy ∧ dishonest ⇒ elegant
   intellectual ⇒ glamorous
   elegant ∧ stormy ∧ glamorous ⇒ ugly
",1,4
"Facts:  Alice is shy [PERIOD] Alice is glamorous [PERIOD] Alice is lonely [PERIOD] Alice is agreeable [PERIOD]
Rules:
glamorous [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] broad-minded [PERIOD]
tame [AND] lucky [AND] broad-minded [IMPLY] helpless [PERIOD]
fragile [AND] lonely [AND] lucky [IMPLY] crowded [PERIOD]
agreeable [IMPLY] rational [PERIOD]
glamorous [AND] unpleasant [AND] frightened [IMPLY] broad-minded [PERIOD]
thoughtless [IMPLY] agreeable [PERIOD]
frightened [AND] modern [AND] fragile [IMPLY] crowded [PERIOD]
clean [IMPLY] silly [PERIOD]
broad-minded [IMPLY] fragile [PERIOD]
glamorous [AND] rational [IMPLY] lucky [PERIOD]
helpless [AND] lucky [AND] frightened [IMPLY] elated [PERIOD]
elated [AND] frightened [IMPLY] grumpy [PERIOD]
crowded [IMPLY] helpless [PERIOD]
agreeable [AND] glamorous [IMPLY] grumpy [PERIOD]
frightened [AND] condemned [IMPLY] clumsy [PERIOD]
anxious [IMPLY] broad-minded [PERIOD]
tame [AND] silly [AND] frail [IMPLY] ugliest [PERIOD]
condemned [AND] clumsy [AND] tame [IMPLY] lucky [PERIOD]
grumpy [AND] polite [IMPLY] crowded [PERIOD]
broad-minded [AND] unpleasant [IMPLY] helpless [PERIOD]
lonely [IMPLY] crowded [PERIOD]
crowded [IMPLY] fragile [PERIOD]
unpleasant [IMPLY] ugliest [PERIOD]
condemned [AND] frightened [IMPLY] elated [PERIOD]
glamorous [IMPLY] lucky [PERIOD]
broad-minded [IMPLY] frightened [PERIOD]
grumpy [AND] agreeable [IMPLY] silly [PERIOD]
fragile [AND] modern [AND] frail [IMPLY] broad-minded [PERIOD]
grumpy [AND] anxious [IMPLY] polite [PERIOD]
clumsy [AND] ugliest [IMPLY] grumpy [PERIOD]
polite [IMPLY] anxious [PERIOD]
rational [AND] broad-minded [AND] tame [IMPLY] lonely [PERIOD]
lonely [AND] modern [AND] fragile [IMPLY] unpleasant [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   No rule concludes “frail.”
",0,1
"Facts:  Alice is jittery [PERIOD] Alice is shy [PERIOD] Alice is worrisome [PERIOD] Alice is gleaming [PERIOD]
Rules:
fine [AND] frantic [AND] hilarious [IMPLY] spotless [PERIOD]
shy [AND] shiny [AND] bored [IMPLY] clumsy [PERIOD]
tired [IMPLY] frantic [PERIOD]
supportive [IMPLY] hilarious [PERIOD]
gleaming [AND] worrisome [IMPLY] anxious [PERIOD]
selfish [AND] gleaming [AND] spotless [IMPLY] witty [PERIOD]
comfortable [AND] worrisome [IMPLY] supportive [PERIOD]
attractive [AND] gorgeous [IMPLY] anxious [PERIOD]
spotless [IMPLY] selfish [PERIOD]
gleaming [AND] rational [AND] comfortable [IMPLY] spotless [PERIOD]
lonely [AND] rational [AND] shiny [IMPLY] selfish [PERIOD]
long [AND] gleaming [IMPLY] shiny [PERIOD]
attractive [AND] wandering [AND] selfish [IMPLY] comfortable [PERIOD]
hilarious [AND] comfortable [IMPLY] clumsy [PERIOD]
anxious [AND] worrisome [AND] powerful [IMPLY] bored [PERIOD]
shiny [IMPLY] selfish [PERIOD]
selfish [AND] worrisome [AND] supportive [IMPLY] spotless [PERIOD]
spotless [AND] selfish [IMPLY] rational [PERIOD]
attractive [AND] spotless [AND] rational [IMPLY] worrisome [PERIOD]
lonely [AND] spotless [IMPLY] attractive [PERIOD]
gleaming [IMPLY] jittery [PERIOD]
frantic [AND] attractive [AND] bored [IMPLY] worrisome [PERIOD]
frantic [AND] bored [AND] gleaming [IMPLY] selfish [PERIOD]
long [AND] hilarious [AND] rational [IMPLY] lonely [PERIOD]
shiny [IMPLY] worrisome [PERIOD]
attractive [AND] bored [IMPLY] powerful [PERIOD]
bored [AND] powerful [AND] attractive [IMPLY] lonely [PERIOD]
rational [AND] anxious [AND] shiny [IMPLY] hilarious [PERIOD]
attractive [IMPLY] hilarious [PERIOD]
selfish [IMPLY] shiny [PERIOD]
hilarious [AND] powerful [AND] long [IMPLY] frantic [PERIOD]
shiny [IMPLY] clumsy [PERIOD]
supportive [IMPLY] bored [PERIOD]
bored [AND] jittery [IMPLY] frantic [PERIOD]
gleaming [AND] long [AND] supportive [IMPLY] gorgeous [PERIOD]
spotless [IMPLY] fine [PERIOD]
attractive [AND] clumsy [IMPLY] gleaming [PERIOD]
gleaming [AND] attractive [IMPLY] powerful [PERIOD]
jittery [IMPLY] lonely [PERIOD]
bored [AND] hilarious [AND] shy [IMPLY] gleaming [PERIOD]
anxious [AND] worrisome [AND] frantic [IMPLY] supportive [PERIOD]
tired [AND] hilarious [AND] wandering [IMPLY] bored [PERIOD]
attractive [AND] fine [AND] jittery [IMPLY] witty [PERIOD]
shy [AND] clumsy [AND] rational [IMPLY] gorgeous [PERIOD]
anxious [AND] spotless [IMPLY] frantic [PERIOD]
fine [AND] shy [AND] supportive [IMPLY] hilarious [PERIOD]
long [AND] spotless [AND] supportive [IMPLY] frantic [PERIOD]
powerful [IMPLY] long [PERIOD]
rational [AND] long [IMPLY] attractive [PERIOD]
jittery [AND] shiny [AND] shy [IMPLY] selfish [PERIOD]
shiny [AND] frantic [AND] supportive [IMPLY] spotless [PERIOD]
wandering [IMPLY] selfish [PERIOD]
selfish [IMPLY] anxious [PERIOD]
supportive [AND] jittery [AND] frantic [IMPLY] clumsy [PERIOD]
rational [AND] witty [IMPLY] clumsy [PERIOD]
spotless [AND] long [IMPLY] bored [PERIOD]
hilarious [IMPLY] shy [PERIOD]
attractive [AND] shy [IMPLY] bored [PERIOD]
tired [AND] bored [IMPLY] hilarious [PERIOD]
spotless [AND] shiny [IMPLY] hilarious [PERIOD]
lonely [IMPLY] witty [PERIOD]
worrisome [IMPLY] hilarious [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   jittery ⇒ lonely
   Cannot apply rule “lonely ∧ spotless ⇒ attractive” because missing: spotless.
   Cannot apply rule “rational ∧ long ⇒ attractive” because missing: rational, long.
",0,3
"Facts:  Alice is hilarious [PERIOD] Alice is bored [PERIOD] Alice is loving [PERIOD] Alice is curious [PERIOD] Alice is frail [PERIOD] Alice is glamorous [PERIOD] Alice is exuberant [PERIOD] Alice is cooperative [PERIOD] Alice is witty [PERIOD] Alice is inquisitive [PERIOD] Alice is sleepy [PERIOD] Alice is mean [PERIOD] Alice is outstanding [PERIOD] Alice is enchanting [PERIOD] Alice is horrible [PERIOD] Alice is vivacious [PERIOD] Alice is precious [PERIOD] Alice is wide-eyed [PERIOD]
Rules:
precious [IMPLY] stupid [PERIOD]
tidy [AND] inquisitive [IMPLY] glamorous [PERIOD]
inquisitive [AND] witty [IMPLY] bored [PERIOD]
horrible [AND] cooperative [IMPLY] ugly [PERIOD]
inquisitive [IMPLY] witty [PERIOD]
strange [AND] stupid [IMPLY] sleepy [PERIOD]
loving [AND] exuberant [IMPLY] ugly [PERIOD]
precious [AND] horrible [IMPLY] strange [PERIOD]
tidy [IMPLY] bored [PERIOD]
stupid [IMPLY] sleepy [PERIOD]
inquisitive [AND] exuberant [IMPLY] tidy [PERIOD]
sleepy [IMPLY] inquisitive [PERIOD]
glamorous [IMPLY] enchanting [PERIOD]
bored [AND] strange [IMPLY] glamorous [PERIOD]
inquisitive [IMPLY] ugly [PERIOD]
strange [AND] outstanding [AND] horrible [IMPLY] curious [PERIOD]
cooperative [AND] horrible [AND] hilarious [IMPLY] vivacious [PERIOD]
horrible [AND] outstanding [IMPLY] exuberant [PERIOD]
glamorous [AND] strange [AND] stupid [IMPLY] mean [PERIOD]
mean [AND] tidy [IMPLY] stupid [PERIOD]
inquisitive [AND] wide-eyed [IMPLY] frail [PERIOD]
mean [IMPLY] outstanding [PERIOD]
sleepy [AND] cooperative [AND] hilarious [IMPLY] loving [PERIOD]
curious [AND] wide-eyed [AND] glamorous [IMPLY] loving [PERIOD]
precious [AND] exuberant [AND] mean [IMPLY] enchanting [PERIOD]
outstanding [AND] ugly [IMPLY] bored [PERIOD]
vivacious [IMPLY] loving [PERIOD]
inquisitive [IMPLY] outstanding [PERIOD]
vivacious [AND] ugly [IMPLY] bored [PERIOD]
cooperative [AND] loving [IMPLY] inquisitive [PERIOD]
sleepy [AND] hilarious [IMPLY] witty [PERIOD]
stupid [AND] wide-eyed [AND] strange [IMPLY] horrible [PERIOD]
enchanting [IMPLY] tidy [PERIOD]
ugly [AND] enchanting [AND] precious [IMPLY] inquisitive [PERIOD]
tidy [IMPLY] enchanting [PERIOD]
mean [AND] exuberant [AND] outstanding [IMPLY] witty [PERIOD]
tidy [AND] frail [IMPLY] vivacious [PERIOD]
wide-eyed [AND] mean [AND] cooperative [IMPLY] horrible [PERIOD]
sleepy [AND] horrible [IMPLY] strange [PERIOD]
strange [AND] wide-eyed [AND] tidy [IMPLY] precious [PERIOD]
cooperative [AND] precious [IMPLY] bored [PERIOD]
sleepy [AND] vivacious [IMPLY] strange [PERIOD]
horrible [AND] strange [IMPLY] sleepy [PERIOD]
curious [AND] tidy [IMPLY] inquisitive [PERIOD]
frail [AND] exuberant [AND] outstanding [IMPLY] sleepy [PERIOD]
vivacious [AND] cooperative [AND] witty [IMPLY] frail [PERIOD]
mean [IMPLY] witty [PERIOD]
hilarious [IMPLY] loving [PERIOD]
precious [AND] outstanding [IMPLY] exuberant [PERIOD]
frail [AND] wide-eyed [IMPLY] cooperative [PERIOD]
ugly [AND] cooperative [IMPLY] frail [PERIOD]
sleepy [AND] stupid [IMPLY] loving [PERIOD]
outstanding [AND] stupid [IMPLY] mean [PERIOD]
precious [AND] enchanting [AND] horrible [IMPLY] tidy [PERIOD]
sleepy [IMPLY] wide-eyed [PERIOD]
bored [AND] precious [IMPLY] glamorous [PERIOD]
bored [AND] outstanding [IMPLY] sleepy [PERIOD]
wide-eyed [IMPLY] outstanding [PERIOD]
curious [AND] loving [AND] tidy [IMPLY] stupid [PERIOD]
exuberant [AND] enchanting [IMPLY] curious [PERIOD]
frail [AND] cooperative [AND] tidy [IMPLY] sleepy [PERIOD]
bored [AND] ugly [IMPLY] loving [PERIOD]
ugly [AND] strange [AND] curious [IMPLY] precious [PERIOD]
precious [AND] stupid [AND] hilarious [IMPLY] enchanting [PERIOD]
strange [AND] cooperative [AND] glamorous [IMPLY] exuberant [PERIOD]
stupid [AND] mean [IMPLY] strange [PERIOD]
sleepy [IMPLY] frail [PERIOD]
cooperative [AND] horrible [AND] curious [IMPLY] tidy [PERIOD]
vivacious [AND] inquisitive [IMPLY] frail [PERIOD]
vivacious [AND] sleepy [AND] tidy [IMPLY] horrible [PERIOD]
strange [AND] horrible [AND] stupid [IMPLY] inquisitive [PERIOD]
witty [AND] mean [IMPLY] stupid [PERIOD]
frail [AND] loving [AND] strange [IMPLY] witty [PERIOD]
stupid [AND] exuberant [AND] strange [IMPLY] enchanting [PERIOD]
hilarious [IMPLY] mean [PERIOD]
strange [IMPLY] curious [PERIOD]
witty [AND] loving [IMPLY] wide-eyed [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is outstanding [PERIOD] Alice is stormy [PERIOD]
Rules:
stormy [IMPLY] lucky [PERIOD]
jittery [AND] frail [AND] ambitious [IMPLY] lucky [PERIOD]
average [AND] ambitious [IMPLY] jittery [PERIOD]
average [AND] ambitious [AND] stormy [IMPLY] frail [PERIOD]
lucky [AND] jittery [IMPLY] outstanding [PERIOD]
jittery [AND] frail [AND] outstanding [IMPLY] average [PERIOD]
jittery [AND] average [IMPLY] frail [PERIOD]
stormy [AND] frail [IMPLY] lucky [PERIOD]
outstanding [AND] average [AND] stormy [IMPLY] jittery [PERIOD]
outstanding [AND] average [AND] lucky [IMPLY] frail [PERIOD]
stormy [IMPLY] ambitious [PERIOD]
lucky [AND] ambitious [IMPLY] average [PERIOD]
stormy [AND] ambitious [IMPLY] jittery [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   stormy ⇒ lucky
   stormy ⇒ ambitious
   lucky ∧ ambitious ⇒ average
   stormy ⇒ ambitious
   average ∧ ambitious ∧ stormy ⇒ frail
",1,5
"Facts: 
Rules:
elated [AND] nervous [IMPLY] condemned [PERIOD]
busy [AND] weary [IMPLY] uptight [PERIOD]
disobedient [AND] grumpy [AND] bad-tempered [IMPLY] easy [PERIOD]
dull [IMPLY] silly [PERIOD]
easy [IMPLY] condemned [PERIOD]
grumpy [AND] muddy [AND] elated [IMPLY] outstanding [PERIOD]
easy [AND] attentive [AND] bad-tempered [IMPLY] disobedient [PERIOD]
outstanding [IMPLY] disobedient [PERIOD]
serious [IMPLY] attentive [PERIOD]
reserved [AND] elated [AND] selfish [IMPLY] bad-tempered [PERIOD]
naughty [AND] bad-tempered [AND] outstanding [IMPLY] weary [PERIOD]
serious [AND] attentive [IMPLY] nervous [PERIOD]
ugliest [AND] grumpy [IMPLY] outstanding [PERIOD]
reserved [AND] ugliest [AND] nervous [IMPLY] muddy [PERIOD]
disobedient [IMPLY] selfish [PERIOD]
grumpy [AND] easy [AND] outstanding [IMPLY] serious [PERIOD]
easy [IMPLY] reserved [PERIOD]
selfish [IMPLY] dull [PERIOD]
disobedient [IMPLY] busy [PERIOD]
ugliest [IMPLY] elated [PERIOD]
outstanding [IMPLY] ugliest [PERIOD]
uptight [AND] busy [IMPLY] ugliest [PERIOD]
outstanding [AND] weary [AND] bad-tempered [IMPLY] uptight [PERIOD]
disobedient [AND] busy [IMPLY] silly [PERIOD]
condemned [AND] outstanding [IMPLY] easy [PERIOD]
dull [AND] silly [AND] grumpy [IMPLY] bad-tempered [PERIOD]
uptight [IMPLY] reserved [PERIOD]
dull [AND] reserved [AND] easy [IMPLY] naughty [PERIOD]
weary [IMPLY] elated [PERIOD]
nervous [AND] grumpy [IMPLY] easy [PERIOD]
disobedient [IMPLY] reserved [PERIOD]
bad-tempered [IMPLY] silly [PERIOD]
elated [IMPLY] serious [PERIOD]
selfish [IMPLY] reserved [PERIOD]
nervous [AND] selfish [IMPLY] silly [PERIOD]
dull [AND] muddy [AND] nervous [IMPLY] busy [PERIOD]
silly [IMPLY] naughty [PERIOD]
weary [AND] muddy [IMPLY] disobedient [PERIOD]
attentive [IMPLY] grumpy [PERIOD]
elated [AND] disobedient [AND] attentive [IMPLY] outstanding [PERIOD]
selfish [AND] easy [IMPLY] bad-tempered [PERIOD]
naughty [IMPLY] grumpy [PERIOD]
nervous [IMPLY] easy [PERIOD]
condemned [AND] dull [IMPLY] busy [PERIOD]
outstanding [AND] ugliest [AND] uptight [IMPLY] silly [PERIOD]
muddy [AND] silly [AND] serious [IMPLY] selfish [PERIOD]
easy [IMPLY] uptight [PERIOD]
attentive [AND] disobedient [IMPLY] naughty [PERIOD]
disobedient [AND] ugliest [IMPLY] elated [PERIOD]
busy [AND] muddy [IMPLY] outstanding [PERIOD]
elated [IMPLY] disobedient [PERIOD]
outstanding [AND] ugliest [IMPLY] weary [PERIOD]
muddy [IMPLY] grumpy [PERIOD]
selfish [AND] bad-tempered [IMPLY] ugliest [PERIOD]
busy [IMPLY] easy [PERIOD]
selfish [AND] attentive [AND] serious [IMPLY] condemned [PERIOD]
easy [AND] elated [IMPLY] bad-tempered [PERIOD]
ugliest [AND] bad-tempered [AND] disobedient [IMPLY] elated [PERIOD]
outstanding [AND] easy [IMPLY] bad-tempered [PERIOD]
uptight [IMPLY] dull [PERIOD]
disobedient [AND] busy [IMPLY] ugliest [PERIOD]
bad-tempered [AND] nervous [AND] outstanding [IMPLY] ugliest [PERIOD]
bad-tempered [IMPLY] nervous [PERIOD]
silly [AND] outstanding [AND] muddy [IMPLY] elated [PERIOD]
silly [AND] selfish [AND] grumpy [IMPLY] naughty [PERIOD]
selfish [AND] attentive [IMPLY] naughty [PERIOD]
ugliest [AND] dull [IMPLY] weary [PERIOD]
grumpy [AND] selfish [AND] condemned [IMPLY] easy [PERIOD]
weary [AND] bad-tempered [AND] elated [IMPLY] nervous [PERIOD]
dull [AND] uptight [IMPLY] serious [PERIOD]
busy [AND] condemned [AND] attentive [IMPLY] muddy [PERIOD]
serious [AND] bad-tempered [AND] grumpy [IMPLY] nervous [PERIOD]
muddy [AND] attentive [IMPLY] ugliest [PERIOD]
bad-tempered [AND] uptight [IMPLY] serious [PERIOD]
uptight [AND] nervous [AND] busy [IMPLY] naughty [PERIOD]
silly [AND] serious [IMPLY] selfish [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   Cannot apply rule “dull ∧ reserved ∧ easy ⇒ naughty” because missing: dull, reserved, easy.
   Cannot apply rule “silly ⇒ naughty” because missing: silly.
   Cannot apply rule “attentive ∧ disobedient ⇒ naughty” because missing: attentive, disobedient.
   Cannot apply rule “silly ∧ selfish ∧ grumpy ⇒ naughty” because missing: silly, selfish, grumpy.
   Cannot apply rule “selfish ∧ attentive ⇒ naughty” because missing: selfish, attentive.
   Cannot apply rule “uptight ∧ nervous ∧ busy ⇒ naughty” because missing: uptight, nervous, busy.
",0,6
"Facts:  Alice is reserved [PERIOD] Alice is polite [PERIOD] Alice is modern [PERIOD] Alice is clean [PERIOD] Alice is impatient [PERIOD] Alice is attractive [PERIOD] Alice is crowded [PERIOD] Alice is cruel [PERIOD]
Rules:
cruel [IMPLY] polite [PERIOD]
reserved [AND] serious [IMPLY] fragile [PERIOD]
attractive [AND] fragile [IMPLY] serious [PERIOD]
stormy [IMPLY] modern [PERIOD]
cute [AND] precious [AND] impatient [IMPLY] cruel [PERIOD]
precious [AND] pessimistic [AND] intellectual [IMPLY] crowded [PERIOD]
attractive [AND] crowded [IMPLY] impatient [PERIOD]
clean [IMPLY] stormy [PERIOD]
fragile [IMPLY] intellectual [PERIOD]
precious [IMPLY] cruel [PERIOD]
clean [AND] pessimistic [IMPLY] fragile [PERIOD]
precious [AND] serious [AND] attractive [IMPLY] modern [PERIOD]
pessimistic [IMPLY] stormy [PERIOD]
modern [AND] clean [IMPLY] intellectual [PERIOD]
fragile [AND] polite [IMPLY] crowded [PERIOD]
fragile [IMPLY] stormy [PERIOD]
pessimistic [IMPLY] attractive [PERIOD]
fragile [AND] cute [AND] crowded [IMPLY] modern [PERIOD]
cute [IMPLY] precious [PERIOD]
stormy [AND] intellectual [AND] pessimistic [IMPLY] cruel [PERIOD]
fragile [IMPLY] crowded [PERIOD]
intellectual [AND] polite [IMPLY] modern [PERIOD]
reserved [AND] attractive [IMPLY] intellectual [PERIOD]
precious [AND] attractive [AND] fragile [IMPLY] cute [PERIOD]
pessimistic [IMPLY] serious [PERIOD]
cruel [IMPLY] pessimistic [PERIOD]
fragile [AND] polite [IMPLY] stormy [PERIOD]
pessimistic [AND] cute [AND] stormy [IMPLY] clean [PERIOD]
pessimistic [AND] fragile [AND] intellectual [IMPLY] impatient [PERIOD]
impatient [AND] cruel [IMPLY] serious [PERIOD]
stormy [IMPLY] reserved [PERIOD]
crowded [AND] fragile [AND] pessimistic [IMPLY] reserved [PERIOD]
intellectual [AND] polite [AND] modern [IMPLY] serious [PERIOD]
precious [AND] pessimistic [AND] impatient [IMPLY] stormy [PERIOD]
precious [AND] stormy [AND] cute [IMPLY] pessimistic [PERIOD]
fragile [AND] reserved [AND] attractive [IMPLY] precious [PERIOD]
polite [IMPLY] stormy [PERIOD]
stormy [IMPLY] pessimistic [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   cruel ⇒ pessimistic
   clean ∧ pessimistic ⇒ fragile
   fragile ∧ reserved ∧ attractive ⇒ precious
   cruel ⇒ pessimistic
   clean ∧ pessimistic ⇒ fragile
   precious ∧ attractive ∧ fragile ⇒ cute
",1,6
"Facts:  Alice is quaint [PERIOD] Alice is cute [PERIOD] Alice is disobedient [PERIOD] Alice is tired [PERIOD] Alice is lucky [PERIOD] Alice is anxious [PERIOD] Alice is reserved [PERIOD] Alice is horrible [PERIOD]
Rules:
fearless [AND] tired [IMPLY] combative [PERIOD]
rude [AND] strange [IMPLY] fearless [PERIOD]
average [IMPLY] disobedient [PERIOD]
tired [AND] fearless [AND] disobedient [IMPLY] anxious [PERIOD]
reserved [AND] cute [AND] tired [IMPLY] rude [PERIOD]
reserved [AND] fearless [AND] impatient [IMPLY] lucky [PERIOD]
horrible [IMPLY] anxious [PERIOD]
quaint [AND] average [IMPLY] combative [PERIOD]
lucky [AND] tired [IMPLY] fearless [PERIOD]
bad-tempered [AND] cute [IMPLY] cruel [PERIOD]
fearless [IMPLY] bad-tempered [PERIOD]
anxious [IMPLY] horrible [PERIOD]
horrible [IMPLY] strange [PERIOD]
lucky [AND] fearless [AND] quaint [IMPLY] anxious [PERIOD]
average [AND] bad-tempered [IMPLY] lucky [PERIOD]
anxious [IMPLY] bad-tempered [PERIOD]
strange [AND] rude [AND] cute [IMPLY] average [PERIOD]
tired [IMPLY] cute [PERIOD]
horrible [AND] average [IMPLY] rude [PERIOD]
cruel [IMPLY] average [PERIOD]
combative [AND] lucky [IMPLY] tired [PERIOD]
rude [AND] combative [AND] cruel [IMPLY] tired [PERIOD]
strange [IMPLY] quaint [PERIOD]
bad-tempered [IMPLY] anxious [PERIOD]
bad-tempered [IMPLY] horrible [PERIOD]
reserved [AND] disobedient [AND] quaint [IMPLY] impatient [PERIOD]
rude [AND] cute [AND] cruel [IMPLY] quaint [PERIOD]
lucky [AND] bad-tempered [IMPLY] anxious [PERIOD]
impatient [AND] lucky [AND] disobedient [IMPLY] cute [PERIOD]
anxious [AND] impatient [IMPLY] rude [PERIOD]
strange [AND] quaint [AND] lucky [IMPLY] cute [PERIOD]
cruel [IMPLY] impatient [PERIOD]
tired [AND] reserved [IMPLY] horrible [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   horrible ⇒ strange
   reserved ∧ cute ∧ tired ⇒ rude
   strange ∧ rude ∧ cute ⇒ average
",1,3
"Facts:  Alice is precious [PERIOD] Alice is impatient [PERIOD] Alice is reserved [PERIOD] Alice is talented [PERIOD] Alice is curious [PERIOD] Alice is hilarious [PERIOD] Alice is stubborn [PERIOD] Alice is troubled [PERIOD] Alice is busy [PERIOD] Alice is wide-eyed [PERIOD] Alice is ugliest [PERIOD] Alice is plain [PERIOD] Alice is easy [PERIOD] Alice is shy [PERIOD] Alice is wandering [PERIOD] Alice is comfortable [PERIOD]
Rules:
glamorous [IMPLY] gorgeous [PERIOD]
gorgeous [IMPLY] glamorous [PERIOD]
comfortable [AND] plain [AND] easy [IMPLY] stupid [PERIOD]
worried [AND] witty [AND] pleasant [IMPLY] careless [PERIOD]
perfect [AND] busy [AND] precious [IMPLY] wide-eyed [PERIOD]
pleasant [AND] ugliest [AND] wandering [IMPLY] stubborn [PERIOD]
gorgeous [IMPLY] careless [PERIOD]
stupid [IMPLY] perfect [PERIOD]
reserved [AND] precious [AND] wide-eyed [IMPLY] stubborn [PERIOD]
worried [AND] curious [IMPLY] plain [PERIOD]
careless [AND] comfortable [AND] easy [IMPLY] ugliest [PERIOD]
perfect [AND] plain [AND] shy [IMPLY] stupid [PERIOD]
reserved [AND] hilarious [IMPLY] shy [PERIOD]
wandering [AND] uptight [IMPLY] precious [PERIOD]
curious [AND] stubborn [IMPLY] glamorous [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   curious ∧ stubborn ⇒ glamorous
   glamorous ⇒ gorgeous
   gorgeous ⇒ careless
",1,3
"Facts: 
Rules:
beautiful [AND] agreeable [AND] friendly [IMPLY] amused [PERIOD]
rude [AND] victorious [IMPLY] talented [PERIOD]
serious [IMPLY] beautiful [PERIOD]
serious [AND] rude [AND] fine [IMPLY] talented [PERIOD]
combative [AND] average [IMPLY] calm [PERIOD]
calm [IMPLY] disgusted [PERIOD]
shiny [AND] serious [IMPLY] combative [PERIOD]
victorious [IMPLY] shiny [PERIOD]
beautiful [AND] gifted [IMPLY] combative [PERIOD]
combative [AND] sincere [AND] busy [IMPLY] calm [PERIOD]
strange [AND] tidy [IMPLY] combative [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   No rule concludes “victorious.”
",0,1
"Facts: 
Rules:
lucky [AND] easy [IMPLY] perfect [PERIOD]
old-fashioned [AND] bored [IMPLY] frightened [PERIOD]
frantic [AND] courageous [IMPLY] bored [PERIOD]
old-fashioned [AND] pessimistic [AND] beautiful [IMPLY] perfect [PERIOD]
rational [AND] frightened [IMPLY] disobedient [PERIOD]
courageous [IMPLY] stupid [PERIOD]
straightforward [AND] frail [AND] rational [IMPLY] lucky [PERIOD]
stupid [IMPLY] gleaming [PERIOD]
lucky [AND] rational [IMPLY] disobedient [PERIOD]
courageous [IMPLY] pessimistic [PERIOD]
gleaming [AND] disobedient [IMPLY] pessimistic [PERIOD]
frightened [IMPLY] rational [PERIOD]
gleaming [AND] pessimistic [AND] confident [IMPLY] rational [PERIOD]
courageous [AND] sensible [AND] perfect [IMPLY] straightforward [PERIOD]
lucky [AND] difficult [IMPLY] sensible [PERIOD]
stupid [AND] easy [AND] rational [IMPLY] frightened [PERIOD]
stupid [AND] easy [IMPLY] gorgeous [PERIOD]
gleaming [AND] amused [IMPLY] perfect [PERIOD]
frail [IMPLY] difficult [PERIOD]
gleaming [IMPLY] pessimistic [PERIOD]
pessimistic [IMPLY] gorgeous [PERIOD]
gorgeous [AND] gleaming [IMPLY] confident [PERIOD]
beautiful [AND] gorgeous [IMPLY] foolish [PERIOD]
sensible [AND] stupid [AND] frightened [IMPLY] frantic [PERIOD]
foolish [IMPLY] amused [PERIOD]
frantic [AND] frail [AND] easy [IMPLY] perfect [PERIOD]
gleaming [IMPLY] straightforward [PERIOD]
frantic [AND] gorgeous [IMPLY] frail [PERIOD]
sensible [AND] perfect [IMPLY] beautiful [PERIOD]
sensible [AND] different [AND] beautiful [IMPLY] rational [PERIOD]
easy [AND] foolish [IMPLY] courageous [PERIOD]
beautiful [AND] confident [AND] difficult [IMPLY] different [PERIOD]
bored [AND] straightforward [AND] different [IMPLY] pessimistic [PERIOD]
sensible [AND] perfect [AND] different [IMPLY] straightforward [PERIOD]
different [AND] disobedient [IMPLY] old-fashioned [PERIOD]
easy [AND] different [AND] gorgeous [IMPLY] perfect [PERIOD]
beautiful [AND] frail [AND] frantic [IMPLY] stupid [PERIOD]
lucky [AND] foolish [IMPLY] courageous [PERIOD]
rational [AND] lucky [AND] different [IMPLY] sensible [PERIOD]
foolish [AND] frantic [AND] straightforward [IMPLY] easy [PERIOD]
beautiful [AND] confident [AND] easy [IMPLY] frightened [PERIOD]
frightened [AND] frail [IMPLY] frantic [PERIOD]
straightforward [AND] frightened [IMPLY] sensible [PERIOD]
perfect [IMPLY] courageous [PERIOD]
old-fashioned [AND] straightforward [IMPLY] stupid [PERIOD]
gleaming [AND] frail [AND] easy [IMPLY] gorgeous [PERIOD]
foolish [AND] disobedient [AND] frantic [IMPLY] frail [PERIOD]
straightforward [AND] courageous [IMPLY] lucky [PERIOD]
difficult [IMPLY] stupid [PERIOD]
easy [IMPLY] difficult [PERIOD]
pessimistic [AND] foolish [AND] amused [IMPLY] frantic [PERIOD]
foolish [AND] stupid [IMPLY] different [PERIOD]
frantic [IMPLY] courageous [PERIOD]
rational [AND] bored [IMPLY] courageous [PERIOD]
frail [IMPLY] old-fashioned [PERIOD]
frightened [IMPLY] bored [PERIOD]
amused [IMPLY] rational [PERIOD]
courageous [IMPLY] beautiful [PERIOD]
difficult [AND] beautiful [IMPLY] foolish [PERIOD]
frantic [IMPLY] different [PERIOD]
perfect [AND] beautiful [IMPLY] stupid [PERIOD]
gorgeous [AND] different [IMPLY] confident [PERIOD]
perfect [AND] foolish [AND] sensible [IMPLY] lucky [PERIOD]
courageous [AND] gorgeous [AND] frail [IMPLY] perfect [PERIOD]
lucky [IMPLY] confident [PERIOD]
frantic [AND] gleaming [AND] different [IMPLY] difficult [PERIOD]
confident [AND] courageous [AND] amused [IMPLY] stupid [PERIOD]
courageous [AND] lucky [AND] stupid [IMPLY] frantic [PERIOD]
beautiful [AND] frightened [IMPLY] foolish [PERIOD]
rational [AND] old-fashioned [IMPLY] disobedient [PERIOD]
frail [AND] different [AND] sensible [IMPLY] pessimistic [PERIOD]
frantic [AND] lucky [AND] stupid [IMPLY] rational [PERIOD]
old-fashioned [AND] frantic [IMPLY] different [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “sensible ∧ stupid ∧ frightened ⇒ frantic” because missing: sensible, stupid, frightened.
   Cannot apply rule “frightened ∧ frail ⇒ frantic” because missing: frightened, frail.
   Cannot apply rule “pessimistic ∧ foolish ∧ amused ⇒ frantic” because missing: pessimistic, foolish, amused.
   Cannot apply rule “courageous ∧ lucky ∧ stupid ⇒ frantic” because missing: courageous, lucky, stupid.
",0,4
"Facts:  Alice is outstanding [PERIOD] Alice is tame [PERIOD]
Rules:
outstanding [AND] polite [AND] tired [IMPLY] messy [PERIOD]
tired [IMPLY] worrisome [PERIOD]
gleaming [AND] modern [IMPLY] ugliest [PERIOD]
popular [IMPLY] polite [PERIOD]
tired [AND] outstanding [AND] gleaming [IMPLY] popular [PERIOD]
polite [AND] ugliest [AND] popular [IMPLY] outstanding [PERIOD]
polite [AND] outstanding [AND] messy [IMPLY] popular [PERIOD]
tired [IMPLY] tame [PERIOD]
tame [AND] worrisome [AND] ugliest [IMPLY] popular [PERIOD]
tame [IMPLY] modern [PERIOD]
outstanding [AND] tame [IMPLY] worrisome [PERIOD]
ugliest [IMPLY] tame [PERIOD]
gleaming [IMPLY] tired [PERIOD]
messy [AND] polite [IMPLY] tame [PERIOD]
ugliest [AND] gleaming [AND] tame [IMPLY] worrisome [PERIOD]
gleaming [IMPLY] ugliest [PERIOD]
polite [AND] worrisome [IMPLY] ugliest [PERIOD]
outstanding [AND] tired [IMPLY] polite [PERIOD]
polite [AND] messy [AND] outstanding [IMPLY] modern [PERIOD]
tame [IMPLY] outstanding [PERIOD]
modern [IMPLY] popular [PERIOD]
popular [AND] polite [IMPLY] worrisome [PERIOD]
ugliest [IMPLY] modern [PERIOD]
polite [IMPLY] tired [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   outstanding ∧ tame ⇒ worrisome
",1,1
"Facts:  Alice is stupid [PERIOD] Alice is straightforward [PERIOD] Alice is talkative [PERIOD] Alice is talented [PERIOD] Alice is homely [PERIOD] Alice is embarrassed [PERIOD] Alice is zealous [PERIOD]
Rules:
stupid [IMPLY] broad-minded [PERIOD]
powerful [AND] tidy [IMPLY] shiny [PERIOD]
embarrassed [AND] rational [AND] talkative [IMPLY] alert [PERIOD]
dull [AND] amused [AND] tense [IMPLY] quaint [PERIOD]
disgusted [AND] gifted [AND] quaint [IMPLY] light [PERIOD]
talented [AND] clumsy [AND] fancy [IMPLY] vivacious [PERIOD]
sincere [AND] thoughtless [IMPLY] stormy [PERIOD]
light [AND] tidy [IMPLY] straightforward [PERIOD]
sincere [IMPLY] embarrassed [PERIOD]
sincere [IMPLY] light [PERIOD]
enchanting [IMPLY] light [PERIOD]
thoughtless [AND] amused [AND] tidy [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] homely [PERIOD]
alert [AND] talented [IMPLY] clumsy [PERIOD]
stormy [AND] light [AND] fancy [IMPLY] talented [PERIOD]
enchanting [AND] rational [IMPLY] talkative [PERIOD]
fancy [AND] stormy [AND] rational [IMPLY] gorgeous [PERIOD]
shiny [AND] amused [IMPLY] tense [PERIOD]
shiny [AND] dull [AND] homely [IMPLY] helpful [PERIOD]
sincere [IMPLY] adorable [PERIOD]
sincere [IMPLY] clumsy [PERIOD]
light [IMPLY] stupid [PERIOD]
stupid [IMPLY] sincere [PERIOD]
rational [AND] tidy [AND] disgusted [IMPLY] adorable [PERIOD]
broad-minded [AND] tense [AND] zealous [IMPLY] dull [PERIOD]
thoughtless [IMPLY] fancy [PERIOD]
quaint [AND] dull [AND] shiny [IMPLY] talented [PERIOD]
straightforward [AND] thoughtless [AND] powerful [IMPLY] stormy [PERIOD]
straightforward [AND] alert [IMPLY] homely [PERIOD]
straightforward [AND] rational [AND] zealous [IMPLY] disgusted [PERIOD]
talkative [AND] vivacious [AND] tidy [IMPLY] stupid [PERIOD]
tense [AND] sincere [IMPLY] embarrassed [PERIOD]
gifted [AND] stupid [IMPLY] tense [PERIOD]
stupid [AND] straightforward [AND] helpful [IMPLY] stormy [PERIOD]
clumsy [AND] sincere [IMPLY] helpful [PERIOD]
stupid [AND] disgusted [IMPLY] sincere [PERIOD]
embarrassed [AND] disgusted [AND] enchanting [IMPLY] zealous [PERIOD]
tidy [AND] enchanting [IMPLY] gorgeous [PERIOD]
quaint [IMPLY] light [PERIOD]
clumsy [AND] amused [AND] powerful [IMPLY] fancy [PERIOD]
stormy [AND] embarrassed [IMPLY] vivacious [PERIOD]
light [AND] disgusted [AND] homely [IMPLY] gifted [PERIOD]
dull [AND] fancy [AND] alert [IMPLY] vivacious [PERIOD]
vivacious [AND] helpful [IMPLY] talented [PERIOD]
zealous [AND] shiny [AND] talented [IMPLY] fancy [PERIOD]
fancy [AND] talented [IMPLY] vivacious [PERIOD]
sincere [AND] fancy [AND] helpful [IMPLY] quaint [PERIOD]
homely [AND] powerful [AND] stupid [IMPLY] rational [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   stupid ⇒ sincere
   sincere ⇒ clumsy
   stupid ⇒ sincere
   clumsy ∧ sincere ⇒ helpful
   stupid ∧ straightforward ∧ helpful ⇒ stormy
",1,5
"Facts: 
Rules:
blushing [IMPLY] victorious [PERIOD]
victorious [AND] diplomatic [IMPLY] blushing [PERIOD]
victorious [AND] crowded [IMPLY] diplomatic [PERIOD]
clumsy [AND] cruel [IMPLY] crowded [PERIOD]
cruel [AND] clumsy [IMPLY] unpleasant [PERIOD]
unpleasant [AND] cruel [AND] clumsy [IMPLY] blushing [PERIOD]
crowded [AND] clumsy [AND] victorious [IMPLY] diplomatic [PERIOD]
unpleasant [AND] blushing [AND] crowded [IMPLY] diplomatic [PERIOD]
cruel [AND] crowded [AND] clumsy [IMPLY] blushing [PERIOD]
victorious [IMPLY] unpleasant [PERIOD]
proud [AND] victorious [AND] clumsy [IMPLY] blushing [PERIOD]
victorious [AND] diplomatic [IMPLY] unpleasant [PERIOD]
diplomatic [IMPLY] cruel [PERIOD]
unpleasant [AND] crowded [IMPLY] cruel [PERIOD]
cruel [AND] proud [IMPLY] clumsy [PERIOD]
diplomatic [IMPLY] victorious [PERIOD]
proud [AND] diplomatic [IMPLY] victorious [PERIOD]
diplomatic [AND] crowded [AND] blushing [IMPLY] clumsy [PERIOD]
proud [AND] crowded [AND] cruel [IMPLY] blushing [PERIOD]
crowded [AND] victorious [IMPLY] unpleasant [PERIOD]
diplomatic [AND] proud [IMPLY] unpleasant [PERIOD]
cruel [AND] unpleasant [AND] blushing [IMPLY] clumsy [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   Cannot apply rule “cruel ∧ clumsy ⇒ unpleasant” because missing: cruel, clumsy.
   Cannot apply rule “victorious ⇒ unpleasant” because missing: victorious.
   Cannot apply rule “victorious ∧ diplomatic ⇒ unpleasant” because missing: victorious, diplomatic.
   Cannot apply rule “crowded ∧ victorious ⇒ unpleasant” because missing: crowded, victorious.
   Cannot apply rule “diplomatic ∧ proud ⇒ unpleasant” because missing: diplomatic, proud.
",0,5
"Facts:  Alice is bossy [PERIOD] Alice is reserved [PERIOD] Alice is precious [PERIOD] Alice is attractive [PERIOD]
Rules:
precious [IMPLY] selfish [PERIOD]
precious [AND] distinct [AND] attractive [IMPLY] scared [PERIOD]
reserved [AND] long [IMPLY] zealous [PERIOD]
long [AND] precious [AND] selfish [IMPLY] attractive [PERIOD]
distinct [AND] selfish [IMPLY] reserved [PERIOD]
precious [AND] distinct [IMPLY] nervous [PERIOD]
reserved [AND] bossy [AND] zealous [IMPLY] long [PERIOD]
precious [IMPLY] bossy [PERIOD]
attractive [IMPLY] scared [PERIOD]
long [IMPLY] attractive [PERIOD]
bossy [AND] scared [AND] selfish [IMPLY] reserved [PERIOD]
distinct [AND] selfish [IMPLY] bossy [PERIOD]
reserved [AND] selfish [AND] precious [IMPLY] attractive [PERIOD]
selfish [IMPLY] nervous [PERIOD]
long [AND] attractive [AND] zealous [IMPLY] distinct [PERIOD]
nervous [AND] reserved [AND] distinct [IMPLY] selfish [PERIOD]
reserved [AND] bossy [AND] precious [IMPLY] attractive [PERIOD]
precious [AND] selfish [AND] zealous [IMPLY] bossy [PERIOD]
nervous [AND] zealous [IMPLY] distinct [PERIOD]
reserved [AND] nervous [AND] bossy [IMPLY] selfish [PERIOD]
bossy [IMPLY] zealous [PERIOD]
bossy [AND] zealous [IMPLY] nervous [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   bossy ⇒ zealous
   reserved ∧ bossy ∧ zealous ⇒ long
   bossy ⇒ zealous
   long ∧ attractive ∧ zealous ⇒ distinct
",1,4
"Facts:  Alice is fine [PERIOD] Alice is tame [PERIOD] Alice is unpleasant [PERIOD] Alice is elated [PERIOD]
Rules:
diplomatic [IMPLY] elated [PERIOD]
clean [AND] tame [AND] glamorous [IMPLY] hilarious [PERIOD]
thoughtless [AND] stormy [IMPLY] fine [PERIOD]
curious [AND] clean [IMPLY] diplomatic [PERIOD]
uptight [IMPLY] diplomatic [PERIOD]
glamorous [AND] stormy [AND] clean [IMPLY] thoughtless [PERIOD]
glamorous [IMPLY] diplomatic [PERIOD]
tame [IMPLY] thoughtless [PERIOD]
elated [AND] glamorous [IMPLY] fine [PERIOD]
thoughtless [AND] sensible [AND] hilarious [IMPLY] stormy [PERIOD]
tame [AND] elated [IMPLY] fine [PERIOD]
thoughtless [AND] stormy [IMPLY] unpleasant [PERIOD]
thoughtless [AND] diplomatic [IMPLY] glamorous [PERIOD]
clean [IMPLY] elated [PERIOD]
curious [AND] unpleasant [IMPLY] stormy [PERIOD]
curious [AND] glamorous [AND] unpleasant [IMPLY] clean [PERIOD]
disgusted [AND] sensible [AND] diplomatic [IMPLY] glamorous [PERIOD]
stormy [IMPLY] diplomatic [PERIOD]
thoughtless [AND] elated [AND] fine [IMPLY] disgusted [PERIOD]
uptight [AND] hilarious [AND] stormy [IMPLY] sensible [PERIOD]
elated [AND] thoughtless [IMPLY] clean [PERIOD]
elated [IMPLY] unpleasant [PERIOD]
unpleasant [AND] thoughtless [IMPLY] glamorous [PERIOD]
stormy [AND] uptight [AND] sensible [IMPLY] thoughtless [PERIOD]
unpleasant [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] uptight [PERIOD]
glamorous [IMPLY] fine [PERIOD]
fine [AND] thoughtless [AND] hilarious [IMPLY] unpleasant [PERIOD]
sensible [AND] hilarious [IMPLY] diplomatic [PERIOD]
hilarious [AND] sensible [AND] curious [IMPLY] tame [PERIOD]
unpleasant [AND] diplomatic [AND] fine [IMPLY] uptight [PERIOD]
clean [IMPLY] hilarious [PERIOD]
uptight [AND] stormy [IMPLY] tame [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   unpleasant ⇒ glamorous
   glamorous ⇒ uptight
   tame ⇒ thoughtless
   elated ∧ thoughtless ⇒ clean
   unpleasant ⇒ glamorous
   clean ∧ tame ∧ glamorous ⇒ hilarious
   Cannot apply rule “uptight ∧ hilarious ∧ stormy ⇒ sensible” because missing: stormy.
",0,7
"Facts:  Alice is unpleasant [PERIOD] Alice is strange [PERIOD] Alice is talented [PERIOD] Alice is excited [PERIOD] Alice is spotless [PERIOD]
Rules:
elated [AND] stubborn [IMPLY] polite [PERIOD]
unpleasant [AND] clumsy [IMPLY] spotless [PERIOD]
unpleasant [AND] spotless [AND] light [IMPLY] clumsy [PERIOD]
broad-minded [AND] versatile [IMPLY] clumsy [PERIOD]
inquisitive [AND] thoughtless [IMPLY] smart [PERIOD]
tame [AND] light [IMPLY] talented [PERIOD]
spotless [AND] thoughtless [IMPLY] polite [PERIOD]
unpleasant [AND] stubborn [IMPLY] versatile [PERIOD]
polite [AND] smart [IMPLY] inquisitive [PERIOD]
versatile [IMPLY] excited [PERIOD]
polite [IMPLY] elated [PERIOD]
versatile [IMPLY] spotless [PERIOD]
spotless [AND] straightforward [AND] strange [IMPLY] tame [PERIOD]
strange [IMPLY] straightforward [PERIOD]
thoughtless [IMPLY] spotless [PERIOD]
curious [AND] innocent [AND] smart [IMPLY] stubborn [PERIOD]
charming [AND] clumsy [AND] inquisitive [IMPLY] curious [PERIOD]
smart [IMPLY] spotless [PERIOD]
polite [AND] thoughtless [AND] stubborn [IMPLY] clumsy [PERIOD]
curious [AND] talented [AND] polite [IMPLY] inquisitive [PERIOD]
innocent [IMPLY] tame [PERIOD]
strange [IMPLY] innocent [PERIOD]
crowded [AND] unpleasant [IMPLY] broad-minded [PERIOD]
straightforward [AND] thoughtless [IMPLY] tame [PERIOD]
clumsy [AND] versatile [IMPLY] strange [PERIOD]
curious [AND] excited [IMPLY] innocent [PERIOD]
elated [AND] broad-minded [AND] thoughtless [IMPLY] strange [PERIOD]
elated [AND] strange [AND] broad-minded [IMPLY] spotless [PERIOD]
light [IMPLY] talented [PERIOD]
comfortable [AND] inquisitive [IMPLY] light [PERIOD]
clumsy [IMPLY] spotless [PERIOD]
curious [AND] comfortable [AND] strange [IMPLY] thoughtless [PERIOD]
smart [AND] broad-minded [IMPLY] unpleasant [PERIOD]
spotless [IMPLY] stubborn [PERIOD]
straightforward [AND] polite [AND] crowded [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] versatile [PERIOD]
elated [IMPLY] clumsy [PERIOD]
strange [AND] tame [AND] versatile [IMPLY] innocent [PERIOD]
curious [AND] tame [AND] unpleasant [IMPLY] comfortable [PERIOD]
clumsy [AND] stubborn [AND] spotless [IMPLY] tame [PERIOD]
elated [AND] comfortable [IMPLY] thoughtless [PERIOD]
talented [AND] polite [IMPLY] excited [PERIOD]
inquisitive [AND] polite [IMPLY] broad-minded [PERIOD]
innocent [AND] stubborn [AND] elated [IMPLY] crowded [PERIOD]
spotless [AND] crowded [AND] innocent [IMPLY] excited [PERIOD]
talented [AND] clumsy [AND] innocent [IMPLY] inquisitive [PERIOD]
smart [IMPLY] light [PERIOD]
inquisitive [AND] thoughtless [AND] crowded [IMPLY] light [PERIOD]
innocent [AND] thoughtless [AND] stubborn [IMPLY] talented [PERIOD]
polite [IMPLY] clumsy [PERIOD]
tame [AND] thoughtless [AND] straightforward [IMPLY] crowded [PERIOD]
broad-minded [AND] elated [AND] excited [IMPLY] spotless [PERIOD]
charming [AND] clumsy [AND] spotless [IMPLY] crowded [PERIOD]
versatile [IMPLY] smart [PERIOD]
Query: Alice is clumsy [PERIOD]","Proof chain:
   spotless ⇒ stubborn
   unpleasant ∧ stubborn ⇒ versatile
   versatile ⇒ smart
   smart ⇒ light
   unpleasant ∧ spotless ∧ light ⇒ clumsy
",1,5
"Facts:  Alice is bad-tempered [PERIOD] Alice is different [PERIOD] Alice is attentive [PERIOD]
Rules:
long [IMPLY] hypocritical [PERIOD]
spotless [AND] rational [AND] agreeable [IMPLY] horrible [PERIOD]
stupid [AND] agreeable [AND] nervous [IMPLY] different [PERIOD]
wandering [AND] spotless [AND] mean [IMPLY] agreeable [PERIOD]
spotless [AND] dishonest [IMPLY] stupid [PERIOD]
embarrassed [IMPLY] reserved [PERIOD]
wandering [AND] beautiful [IMPLY] stupid [PERIOD]
fancy [AND] horrible [IMPLY] bad-tempered [PERIOD]
versatile [IMPLY] beautiful [PERIOD]
embarrassed [IMPLY] agreeable [PERIOD]
agreeable [AND] reserved [AND] wandering [IMPLY] lonely [PERIOD]
rational [AND] calm [IMPLY] long [PERIOD]
calm [AND] reserved [IMPLY] fancy [PERIOD]
calm [AND] mean [AND] dishonest [IMPLY] attentive [PERIOD]
long [AND] lonely [IMPLY] fancy [PERIOD]
different [AND] long [AND] beautiful [IMPLY] wandering [PERIOD]
mean [AND] calm [IMPLY] rational [PERIOD]
reserved [AND] lonely [IMPLY] rational [PERIOD]
long [AND] hypocritical [IMPLY] fancy [PERIOD]
attentive [IMPLY] rational [PERIOD]
calm [IMPLY] fancy [PERIOD]
spotless [IMPLY] attentive [PERIOD]
beautiful [AND] horrible [AND] versatile [IMPLY] stupid [PERIOD]
mean [AND] hypocritical [IMPLY] beautiful [PERIOD]
wandering [AND] lonely [IMPLY] agreeable [PERIOD]
fancy [AND] beautiful [IMPLY] embarrassed [PERIOD]
beautiful [AND] versatile [AND] different [IMPLY] calm [PERIOD]
rational [AND] long [IMPLY] hypocritical [PERIOD]
lonely [AND] beautiful [AND] attentive [IMPLY] nervous [PERIOD]
attentive [AND] bad-tempered [AND] agreeable [IMPLY] reserved [PERIOD]
bad-tempered [AND] agreeable [IMPLY] different [PERIOD]
versatile [AND] agreeable [IMPLY] stupid [PERIOD]
lonely [AND] nervous [IMPLY] hypocritical [PERIOD]
agreeable [AND] hypocritical [IMPLY] attentive [PERIOD]
agreeable [IMPLY] rational [PERIOD]
long [IMPLY] stupid [PERIOD]
mean [IMPLY] attentive [PERIOD]
attentive [AND] nervous [IMPLY] agreeable [PERIOD]
stupid [IMPLY] rational [PERIOD]
reserved [AND] fancy [AND] embarrassed [IMPLY] spotless [PERIOD]
mean [IMPLY] calm [PERIOD]
mean [IMPLY] dishonest [PERIOD]
embarrassed [AND] horrible [AND] different [IMPLY] nervous [PERIOD]
fancy [IMPLY] wandering [PERIOD]
beautiful [IMPLY] lonely [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   Cannot apply rule “wandering ∧ spotless ∧ mean ⇒ agreeable” because missing: wandering, spotless, mean.
   Cannot apply rule “embarrassed ⇒ agreeable” because missing: embarrassed.
   Cannot apply rule “wandering ∧ lonely ⇒ agreeable” because missing: wandering, lonely.
   Cannot apply rule “attentive ∧ nervous ⇒ agreeable” because missing: nervous.
",0,4
"Facts: 
Rules:
sincere [AND] excited [AND] wide-eyed [IMPLY] attentive [PERIOD]
weary [IMPLY] helpful [PERIOD]
versatile [IMPLY] wide-eyed [PERIOD]
silly [AND] mean [IMPLY] wrong [PERIOD]
sincere [AND] long [AND] wrong [IMPLY] attentive [PERIOD]
spotless [AND] weary [IMPLY] wide-eyed [PERIOD]
light [IMPLY] embarrassed [PERIOD]
cooperative [AND] helpful [IMPLY] light [PERIOD]
jittery [IMPLY] embarrassed [PERIOD]
outrageous [AND] sincere [AND] long [IMPLY] wide-eyed [PERIOD]
cooperative [IMPLY] sincere [PERIOD]
embarrassed [AND] long [AND] attentive [IMPLY] light [PERIOD]
condemned [IMPLY] selfish [PERIOD]
grumpy [AND] light [IMPLY] attentive [PERIOD]
helpful [IMPLY] wrong [PERIOD]
versatile [AND] outrageous [AND] embarrassed [IMPLY] cooperative [PERIOD]
outrageous [AND] condemned [IMPLY] helpful [PERIOD]
spotless [IMPLY] wrong [PERIOD]
long [AND] spotless [IMPLY] selfish [PERIOD]
outrageous [AND] grumpy [IMPLY] long [PERIOD]
selfish [IMPLY] spotless [PERIOD]
wrong [AND] cooperative [AND] spotless [IMPLY] helpful [PERIOD]
excited [IMPLY] cooperative [PERIOD]
outrageous [AND] sincere [AND] light [IMPLY] attentive [PERIOD]
excited [AND] mean [IMPLY] wide-eyed [PERIOD]
selfish [IMPLY] long [PERIOD]
light [AND] wrong [AND] attentive [IMPLY] long [PERIOD]
attentive [IMPLY] cooperative [PERIOD]
grumpy [IMPLY] selfish [PERIOD]
silly [AND] wide-eyed [IMPLY] cooperative [PERIOD]
cooperative [AND] helpful [IMPLY] grumpy [PERIOD]
condemned [AND] weary [IMPLY] light [PERIOD]
wide-eyed [AND] weary [AND] cooperative [IMPLY] spotless [PERIOD]
long [AND] condemned [AND] mean [IMPLY] attentive [PERIOD]
silly [AND] spotless [IMPLY] jittery [PERIOD]
weary [AND] versatile [IMPLY] excited [PERIOD]
silly [AND] attentive [AND] versatile [IMPLY] long [PERIOD]
spotless [AND] jittery [IMPLY] embarrassed [PERIOD]
cooperative [IMPLY] condemned [PERIOD]
silly [AND] long [AND] selfish [IMPLY] grumpy [PERIOD]
sincere [AND] helpful [IMPLY] excited [PERIOD]
selfish [IMPLY] attentive [PERIOD]
versatile [AND] mean [IMPLY] selfish [PERIOD]
wide-eyed [AND] sincere [IMPLY] outrageous [PERIOD]
excited [AND] sincere [IMPLY] outrageous [PERIOD]
helpful [AND] excited [IMPLY] selfish [PERIOD]
light [IMPLY] weary [PERIOD]
selfish [AND] long [IMPLY] mean [PERIOD]
condemned [IMPLY] mean [PERIOD]
attentive [AND] long [IMPLY] cooperative [PERIOD]
embarrassed [AND] excited [AND] silly [IMPLY] versatile [PERIOD]
light [AND] attentive [AND] sincere [IMPLY] long [PERIOD]
selfish [IMPLY] embarrassed [PERIOD]
excited [IMPLY] attentive [PERIOD]
sincere [IMPLY] mean [PERIOD]
selfish [AND] embarrassed [AND] silly [IMPLY] versatile [PERIOD]
light [AND] sincere [IMPLY] embarrassed [PERIOD]
grumpy [AND] silly [AND] attentive [IMPLY] sincere [PERIOD]
attentive [AND] cooperative [AND] outrageous [IMPLY] silly [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   Cannot apply rule “cooperative ∧ helpful ⇒ light” because missing: cooperative, helpful.
   Cannot apply rule “embarrassed ∧ long ∧ attentive ⇒ light” because missing: embarrassed, long, attentive.
   Cannot apply rule “condemned ∧ weary ⇒ light” because missing: condemned, weary.
",0,3
"Facts: 
Rules:
uptight [AND] broad-minded [AND] embarrassed [IMPLY] perfect [PERIOD]
broad-minded [AND] embarrassed [IMPLY] uptight [PERIOD]
aggressive [AND] broad-minded [AND] perfect [IMPLY] uptight [PERIOD]
embarrassed [IMPLY] uptight [PERIOD]
broad-minded [IMPLY] uptight [PERIOD]
aggressive [AND] perfect [AND] embarrassed [IMPLY] uptight [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ∧ embarrassed ⇒ uptight” because missing: broad-minded, embarrassed.
   Cannot apply rule “aggressive ∧ broad-minded ∧ perfect ⇒ uptight” because missing: aggressive, broad-minded, perfect.
   Cannot apply rule “embarrassed ⇒ uptight” because missing: embarrassed.
   Cannot apply rule “broad-minded ⇒ uptight” because missing: broad-minded.
   Cannot apply rule “aggressive ∧ perfect ∧ embarrassed ⇒ uptight” because missing: aggressive, perfect, embarrassed.
",0,5
"Facts:  Alice is bad-tempered [PERIOD] Alice is spotless [PERIOD] Alice is ambitious [PERIOD] Alice is scared [PERIOD] Alice is dishonest [PERIOD] Alice is disgusted [PERIOD] Alice is glamorous [PERIOD] Alice is confused [PERIOD] Alice is inexpensive [PERIOD] Alice is outrageous [PERIOD] Alice is sleepy [PERIOD] Alice is lucky [PERIOD] Alice is fearless [PERIOD] Alice is impatient [PERIOD] Alice is blushing [PERIOD] Alice is homely [PERIOD] Alice is shiny [PERIOD] Alice is clean [PERIOD]
Rules:
blushing [IMPLY] lucky [PERIOD]
dishonest [AND] homely [IMPLY] clean [PERIOD]
glamorous [AND] homely [AND] scared [IMPLY] fine [PERIOD]
bad-tempered [IMPLY] glamorous [PERIOD]
blushing [IMPLY] crowded [PERIOD]
clean [AND] glamorous [AND] bad-tempered [IMPLY] ugliest [PERIOD]
adorable [AND] blushing [IMPLY] clean [PERIOD]
blushing [IMPLY] spotless [PERIOD]
aggressive [AND] ugliest [IMPLY] dishonest [PERIOD]
shiny [IMPLY] crowded [PERIOD]
fearless [AND] ambitious [IMPLY] clean [PERIOD]
aggressive [AND] crowded [AND] fragile [IMPLY] scared [PERIOD]
aggressive [IMPLY] confused [PERIOD]
bad-tempered [AND] fearless [AND] spotless [IMPLY] crowded [PERIOD]
clean [AND] inexpensive [AND] confused [IMPLY] dishonest [PERIOD]
aggressive [IMPLY] blushing [PERIOD]
spotless [AND] frantic [AND] blushing [IMPLY] adorable [PERIOD]
fine [AND] bad-tempered [AND] disgusted [IMPLY] adorable [PERIOD]
outrageous [AND] disgusted [IMPLY] ugliest [PERIOD]
elegant [AND] glamorous [AND] clean [IMPLY] busy [PERIOD]
shiny [IMPLY] sleepy [PERIOD]
disgusted [AND] sleepy [IMPLY] homely [PERIOD]
busy [AND] aggressive [AND] sleepy [IMPLY] fragile [PERIOD]
elegant [AND] ugliest [IMPLY] inexpensive [PERIOD]
fragile [AND] spotless [IMPLY] sleepy [PERIOD]
ugliest [IMPLY] glamorous [PERIOD]
spotless [IMPLY] elegant [PERIOD]
sleepy [AND] ambitious [AND] outrageous [IMPLY] shiny [PERIOD]
scared [AND] adorable [IMPLY] anxious [PERIOD]
bad-tempered [IMPLY] ugliest [PERIOD]
glamorous [IMPLY] shiny [PERIOD]
anxious [AND] frantic [IMPLY] impatient [PERIOD]
bad-tempered [AND] sleepy [AND] busy [IMPLY] impatient [PERIOD]
spotless [AND] frantic [AND] clean [IMPLY] blushing [PERIOD]
ugliest [AND] elated [IMPLY] frantic [PERIOD]
crowded [AND] anxious [AND] ugliest [IMPLY] fearless [PERIOD]
adorable [AND] lucky [IMPLY] sleepy [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
   spotless ⇒ elegant
   elegant ∧ glamorous ∧ clean ⇒ busy
",1,2
"Facts:  Alice is stupid [PERIOD] Alice is grumpy [PERIOD] Alice is unpleasant [PERIOD] Alice is beautiful [PERIOD] Alice is careless [PERIOD] Alice is gleaming [PERIOD] Alice is rude [PERIOD] Alice is sleepy [PERIOD] Alice is outrageous [PERIOD] Alice is ugly [PERIOD] Alice is inexpensive [PERIOD] Alice is clumsy [PERIOD] Alice is smart [PERIOD] Alice is tidy [PERIOD] Alice is pessimistic [PERIOD] Alice is weary [PERIOD] Alice is frightened [PERIOD] Alice is confident [PERIOD]
Rules:
powerful [IMPLY] cooperative [PERIOD]
outrageous [IMPLY] confident [PERIOD]
confident [AND] busy [AND] outrageous [IMPLY] bossy [PERIOD]
unpleasant [IMPLY] agreeable [PERIOD]
bossy [AND] spotless [AND] worried [IMPLY] rude [PERIOD]
busy [AND] pessimistic [AND] frightened [IMPLY] careless [PERIOD]
spotless [AND] modern [AND] clumsy [IMPLY] outrageous [PERIOD]
stubborn [IMPLY] stupid [PERIOD]
outrageous [IMPLY] gleaming [PERIOD]
smart [AND] frightened [AND] powerful [IMPLY] cooperative [PERIOD]
stupid [IMPLY] outrageous [PERIOD]
beautiful [IMPLY] disobedient [PERIOD]
grumpy [IMPLY] disobedient [PERIOD]
disobedient [AND] bossy [AND] beautiful [IMPLY] tidy [PERIOD]
agreeable [AND] stupid [AND] ugly [IMPLY] stormy [PERIOD]
cooperative [AND] beautiful [AND] weary [IMPLY] tidy [PERIOD]
agreeable [AND] cooperative [IMPLY] busy [PERIOD]
careless [IMPLY] busy [PERIOD]
unpleasant [AND] ugly [IMPLY] grumpy [PERIOD]
powerful [AND] spotless [AND] busy [IMPLY] worried [PERIOD]
careless [AND] frightened [AND] disobedient [IMPLY] clumsy [PERIOD]
cooperative [IMPLY] ugly [PERIOD]
disobedient [AND] clumsy [AND] careless [IMPLY] modern [PERIOD]
smart [IMPLY] rude [PERIOD]
beautiful [AND] pessimistic [AND] cooperative [IMPLY] frightened [PERIOD]
outrageous [AND] spotless [AND] cooperative [IMPLY] careless [PERIOD]
smart [IMPLY] stormy [PERIOD]
weary [IMPLY] tidy [PERIOD]
worried [AND] stormy [IMPLY] modern [PERIOD]
stubborn [AND] ugly [IMPLY] worried [PERIOD]
careless [AND] stubborn [AND] modern [IMPLY] smart [PERIOD]
stupid [IMPLY] powerful [PERIOD]
inexpensive [AND] beautiful [AND] stormy [IMPLY] confident [PERIOD]
bossy [AND] powerful [IMPLY] disobedient [PERIOD]
stormy [AND] pessimistic [AND] disobedient [IMPLY] cooperative [PERIOD]
unpleasant [AND] spotless [IMPLY] gleaming [PERIOD]
confident [AND] powerful [AND] rude [IMPLY] cooperative [PERIOD]
busy [AND] stormy [IMPLY] spotless [PERIOD]
grumpy [AND] cooperative [IMPLY] modern [PERIOD]
beautiful [AND] tidy [AND] sleepy [IMPLY] gleaming [PERIOD]
stupid [AND] ugly [AND] bossy [IMPLY] spotless [PERIOD]
unpleasant [AND] confident [AND] smart [IMPLY] stubborn [PERIOD]
grumpy [AND] smart [IMPLY] sleepy [PERIOD]
spotless [AND] clumsy [AND] stupid [IMPLY] powerful [PERIOD]
clumsy [IMPLY] careless [PERIOD]
stupid [IMPLY] stubborn [PERIOD]
disobedient [AND] stubborn [IMPLY] beautiful [PERIOD]
unpleasant [IMPLY] confident [PERIOD]
unpleasant [AND] gleaming [IMPLY] careless [PERIOD]
clumsy [AND] spotless [AND] careless [IMPLY] ugly [PERIOD]
frightened [AND] stupid [AND] confident [IMPLY] grumpy [PERIOD]
careless [AND] bossy [IMPLY] pessimistic [PERIOD]
stubborn [AND] gleaming [IMPLY] grumpy [PERIOD]
confident [AND] spotless [AND] cooperative [IMPLY] smart [PERIOD]
rude [AND] pessimistic [AND] gleaming [IMPLY] spotless [PERIOD]
stormy [AND] clumsy [IMPLY] bossy [PERIOD]
tidy [AND] modern [IMPLY] grumpy [PERIOD]
outrageous [AND] weary [IMPLY] tidy [PERIOD]
confident [AND] stormy [AND] bossy [IMPLY] inexpensive [PERIOD]
grumpy [AND] agreeable [IMPLY] outrageous [PERIOD]
disobedient [AND] frightened [IMPLY] bossy [PERIOD]
frightened [IMPLY] disobedient [PERIOD]
busy [AND] modern [IMPLY] spotless [PERIOD]
modern [IMPLY] rude [PERIOD]
spotless [AND] inexpensive [IMPLY] smart [PERIOD]
bossy [AND] confident [IMPLY] spotless [PERIOD]
gleaming [AND] stubborn [IMPLY] ugly [PERIOD]
busy [IMPLY] stubborn [PERIOD]
inexpensive [IMPLY] powerful [PERIOD]
ugly [IMPLY] busy [PERIOD]
busy [AND] careless [IMPLY] powerful [PERIOD]
confident [AND] busy [AND] modern [IMPLY] beautiful [PERIOD]
outrageous [AND] spotless [IMPLY] rude [PERIOD]
outrageous [AND] cooperative [AND] inexpensive [IMPLY] sleepy [PERIOD]
stormy [IMPLY] worried [PERIOD]
rude [IMPLY] smart [PERIOD]
stubborn [AND] grumpy [AND] smart [IMPLY] weary [PERIOD]
pessimistic [AND] sleepy [IMPLY] bossy [PERIOD]
inexpensive [AND] unpleasant [IMPLY] careless [PERIOD]
weary [AND] stormy [IMPLY] inexpensive [PERIOD]
busy [AND] stupid [IMPLY] ugly [PERIOD]
inexpensive [IMPLY] busy [PERIOD]
grumpy [AND] spotless [IMPLY] beautiful [PERIOD]
bossy [AND] agreeable [AND] stupid [IMPLY] rude [PERIOD]
inexpensive [AND] beautiful [AND] sleepy [IMPLY] disobedient [PERIOD]
worried [AND] pessimistic [IMPLY] ugly [PERIOD]
stubborn [AND] tidy [IMPLY] bossy [PERIOD]
powerful [AND] pessimistic [IMPLY] frightened [PERIOD]
spotless [AND] bossy [AND] rude [IMPLY] smart [PERIOD]
modern [IMPLY] confident [PERIOD]
modern [IMPLY] cooperative [PERIOD]
modern [IMPLY] pessimistic [PERIOD]
careless [IMPLY] sleepy [PERIOD]
frightened [AND] agreeable [IMPLY] busy [PERIOD]
rude [IMPLY] sleepy [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is bossy [PERIOD] Alice is scared [PERIOD] Alice is versatile [PERIOD] Alice is worrisome [PERIOD] Alice is wide-eyed [PERIOD] Alice is frightened [PERIOD] Alice is tidy [PERIOD] Alice is crowded [PERIOD] Alice is naughty [PERIOD] Alice is distinct [PERIOD] Alice is fine [PERIOD] Alice is mysterious [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
ugly [AND] charming [IMPLY] wide-eyed [PERIOD]
shy [AND] nervous [IMPLY] sincere [PERIOD]
worrisome [AND] calm [AND] old-fashioned [IMPLY] ugly [PERIOD]
crowded [AND] worrisome [IMPLY] versatile [PERIOD]
wide-eyed [IMPLY] pleasant [PERIOD]
mysterious [IMPLY] precious [PERIOD]
vivacious [AND] worrisome [AND] mysterious [IMPLY] frightened [PERIOD]
mysterious [IMPLY] versatile [PERIOD]
pleasant [AND] vivacious [AND] precious [IMPLY] frightened [PERIOD]
shy [AND] pleasant [IMPLY] victorious [PERIOD]
naughty [AND] frail [IMPLY] fine [PERIOD]
old-fashioned [IMPLY] sensible [PERIOD]
vivacious [AND] nervous [AND] precious [IMPLY] versatile [PERIOD]
old-fashioned [IMPLY] nervous [PERIOD]
ugly [AND] frail [AND] distinct [IMPLY] versatile [PERIOD]
bossy [IMPLY] nervous [PERIOD]
naughty [AND] mysterious [IMPLY] crowded [PERIOD]
frail [AND] mysterious [IMPLY] crowded [PERIOD]
sensible [IMPLY] naughty [PERIOD]
versatile [AND] wide-eyed [AND] frightened [IMPLY] shy [PERIOD]
sensible [AND] naughty [IMPLY] calm [PERIOD]
worrisome [AND] tidy [AND] versatile [IMPLY] wide-eyed [PERIOD]
tidy [IMPLY] bossy [PERIOD]
charming [IMPLY] wide-eyed [PERIOD]
ugly [AND] wide-eyed [IMPLY] fine [PERIOD]
sensible [AND] charming [IMPLY] shy [PERIOD]
nervous [AND] calm [AND] powerful [IMPLY] hurt [PERIOD]
tidy [IMPLY] sincere [PERIOD]
calm [AND] fine [IMPLY] bossy [PERIOD]
victorious [IMPLY] bossy [PERIOD]
old-fashioned [AND] naughty [AND] sensible [IMPLY] ugly [PERIOD]
shy [AND] vivacious [AND] mysterious [IMPLY] distinct [PERIOD]
sincere [IMPLY] vivacious [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   wide-eyed ⇒ pleasant
",1,1
"Facts:  Alice is outstanding [PERIOD] Alice is gleaming [PERIOD] Alice is careless [PERIOD] Alice is friendly [PERIOD] Alice is average [PERIOD] Alice is silly [PERIOD]
Rules:
anxious [AND] gleaming [AND] inexpensive [IMPLY] bright [PERIOD]
gleaming [AND] frail [AND] naughty [IMPLY] anxious [PERIOD]
gleaming [IMPLY] friendly [PERIOD]
careless [AND] loving [IMPLY] outstanding [PERIOD]
rational [AND] frail [IMPLY] rude [PERIOD]
tidy [IMPLY] outstanding [PERIOD]
careless [IMPLY] rational [PERIOD]
frail [AND] friendly [AND] tidy [IMPLY] rude [PERIOD]
bright [AND] silly [IMPLY] hypocritical [PERIOD]
loving [AND] tidy [AND] bright [IMPLY] gleaming [PERIOD]
careless [AND] average [AND] proud [IMPLY] gleaming [PERIOD]
gleaming [AND] frail [AND] average [IMPLY] loving [PERIOD]
friendly [AND] rude [IMPLY] proud [PERIOD]
average [IMPLY] hypocritical [PERIOD]
naughty [IMPLY] hypocritical [PERIOD]
rude [AND] proud [AND] rational [IMPLY] frail [PERIOD]
proud [AND] gleaming [AND] silly [IMPLY] careless [PERIOD]
hypocritical [AND] rational [IMPLY] gleaming [PERIOD]
average [IMPLY] loving [PERIOD]
naughty [IMPLY] rude [PERIOD]
gleaming [AND] anxious [AND] hypocritical [IMPLY] outstanding [PERIOD]
bright [AND] average [AND] gleaming [IMPLY] naughty [PERIOD]
anxious [AND] hypocritical [AND] bright [IMPLY] careless [PERIOD]
rational [AND] careless [IMPLY] rude [PERIOD]
hypocritical [IMPLY] inexpensive [PERIOD]
rude [AND] rational [IMPLY] proud [PERIOD]
anxious [AND] rude [IMPLY] rational [PERIOD]
anxious [IMPLY] proud [PERIOD]
silly [AND] inexpensive [AND] rude [IMPLY] friendly [PERIOD]
frail [AND] loving [AND] bright [IMPLY] tidy [PERIOD]
frail [AND] hypocritical [IMPLY] gleaming [PERIOD]
anxious [IMPLY] rational [PERIOD]
silly [IMPLY] rational [PERIOD]
silly [AND] anxious [AND] tidy [IMPLY] bright [PERIOD]
silly [AND] inexpensive [IMPLY] bright [PERIOD]
inexpensive [IMPLY] rude [PERIOD]
bright [IMPLY] rude [PERIOD]
frail [AND] tidy [IMPLY] hypocritical [PERIOD]
friendly [AND] tidy [AND] bright [IMPLY] inexpensive [PERIOD]
silly [IMPLY] average [PERIOD]
bright [IMPLY] silly [PERIOD]
friendly [AND] anxious [IMPLY] inexpensive [PERIOD]
rude [AND] rational [IMPLY] loving [PERIOD]
anxious [AND] inexpensive [AND] friendly [IMPLY] careless [PERIOD]
tidy [AND] gleaming [AND] average [IMPLY] careless [PERIOD]
anxious [AND] hypocritical [AND] bright [IMPLY] friendly [PERIOD]
outstanding [IMPLY] inexpensive [PERIOD]
silly [AND] gleaming [IMPLY] careless [PERIOD]
loving [IMPLY] careless [PERIOD]
rude [IMPLY] outstanding [PERIOD]
loving [IMPLY] naughty [PERIOD]
average [IMPLY] outstanding [PERIOD]
loving [IMPLY] friendly [PERIOD]
friendly [IMPLY] rude [PERIOD]
inexpensive [AND] proud [IMPLY] silly [PERIOD]
naughty [AND] gleaming [IMPLY] frail [PERIOD]
hypocritical [AND] gleaming [AND] frail [IMPLY] bright [PERIOD]
outstanding [AND] silly [AND] naughty [IMPLY] rude [PERIOD]
hypocritical [IMPLY] silly [PERIOD]
gleaming [IMPLY] proud [PERIOD]
friendly [AND] outstanding [AND] loving [IMPLY] rude [PERIOD]
tidy [AND] bright [AND] average [IMPLY] rude [PERIOD]
inexpensive [IMPLY] naughty [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   friendly ⇒ rude
   gleaming ⇒ proud
   careless ⇒ rational
   rude ∧ proud ∧ rational ⇒ frail
   outstanding ⇒ inexpensive
   inexpensive ⇒ naughty
   gleaming ∧ frail ∧ naughty ⇒ anxious
",1,7
"Facts:  Alice is joyous [PERIOD] Alice is messy [PERIOD] Alice is charming [PERIOD] Alice is impatient [PERIOD]
Rules:
wrong [IMPLY] joyous [PERIOD]
amused [IMPLY] impatient [PERIOD]
joyous [IMPLY] diplomatic [PERIOD]
charming [AND] wrong [IMPLY] proud [PERIOD]
messy [AND] proud [AND] joyous [IMPLY] diplomatic [PERIOD]
impatient [AND] joyous [AND] diplomatic [IMPLY] messy [PERIOD]
pessimistic [AND] proud [AND] joyous [IMPLY] amused [PERIOD]
impatient [AND] powerful [IMPLY] joyous [PERIOD]
joyous [AND] messy [AND] pessimistic [IMPLY] powerful [PERIOD]
powerful [AND] impatient [IMPLY] diplomatic [PERIOD]
powerful [AND] charming [IMPLY] joyous [PERIOD]
proud [AND] impatient [IMPLY] amused [PERIOD]
wrong [IMPLY] charming [PERIOD]
messy [AND] diplomatic [AND] powerful [IMPLY] impatient [PERIOD]
proud [IMPLY] messy [PERIOD]
diplomatic [AND] joyous [IMPLY] powerful [PERIOD]
proud [IMPLY] diplomatic [PERIOD]
messy [AND] diplomatic [AND] powerful [IMPLY] amused [PERIOD]
impatient [AND] amused [AND] diplomatic [IMPLY] powerful [PERIOD]
wrong [AND] amused [IMPLY] diplomatic [PERIOD]
amused [AND] proud [IMPLY] impatient [PERIOD]
nervous [AND] messy [IMPLY] charming [PERIOD]
charming [IMPLY] diplomatic [PERIOD]
messy [IMPLY] nervous [PERIOD]
joyous [AND] nervous [AND] pessimistic [IMPLY] proud [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   charming ⇒ diplomatic
   charming ⇒ diplomatic
   diplomatic ∧ joyous ⇒ powerful
   messy ∧ diplomatic ∧ powerful ⇒ amused
",1,4
"Facts:  Alice is ambitious [PERIOD]
Rules:
victorious [IMPLY] pessimistic [PERIOD]
adorable [AND] weary [IMPLY] silly [PERIOD]
pessimistic [IMPLY] perfect [PERIOD]
victorious [AND] talkative [AND] weary [IMPLY] ambitious [PERIOD]
adorable [AND] perfect [AND] talkative [IMPLY] curious [PERIOD]
weary [AND] perfect [IMPLY] adorable [PERIOD]
silly [AND] wandering [AND] adorable [IMPLY] perfect [PERIOD]
talkative [AND] victorious [IMPLY] weary [PERIOD]
perfect [IMPLY] victorious [PERIOD]
ambitious [AND] curious [IMPLY] weary [PERIOD]
curious [AND] weary [IMPLY] adorable [PERIOD]
talkative [AND] perfect [IMPLY] ambitious [PERIOD]
wandering [AND] ambitious [IMPLY] pessimistic [PERIOD]
pessimistic [AND] talkative [IMPLY] perfect [PERIOD]
curious [AND] weary [IMPLY] victorious [PERIOD]
talkative [IMPLY] perfect [PERIOD]
adorable [AND] victorious [IMPLY] curious [PERIOD]
wandering [AND] pessimistic [IMPLY] curious [PERIOD]
pessimistic [AND] silly [AND] adorable [IMPLY] wandering [PERIOD]
talkative [AND] weary [AND] silly [IMPLY] ambitious [PERIOD]
ambitious [AND] victorious [AND] wandering [IMPLY] weary [PERIOD]
curious [AND] silly [IMPLY] adorable [PERIOD]
adorable [AND] victorious [IMPLY] ambitious [PERIOD]
curious [AND] perfect [IMPLY] victorious [PERIOD]
wandering [AND] silly [IMPLY] perfect [PERIOD]
victorious [AND] weary [AND] perfect [IMPLY] ambitious [PERIOD]
talkative [AND] silly [AND] victorious [IMPLY] perfect [PERIOD]
adorable [AND] weary [AND] wandering [IMPLY] talkative [PERIOD]
wandering [AND] victorious [AND] perfect [IMPLY] ambitious [PERIOD]
pessimistic [AND] silly [IMPLY] weary [PERIOD]
pessimistic [AND] silly [AND] weary [IMPLY] adorable [PERIOD]
ambitious [AND] perfect [IMPLY] silly [PERIOD]
talkative [AND] curious [AND] silly [IMPLY] adorable [PERIOD]
adorable [AND] wandering [AND] pessimistic [IMPLY] ambitious [PERIOD]
wandering [AND] talkative [IMPLY] perfect [PERIOD]
wandering [IMPLY] adorable [PERIOD]
curious [AND] talkative [AND] wandering [IMPLY] perfect [PERIOD]
silly [IMPLY] ambitious [PERIOD]
adorable [AND] wandering [IMPLY] perfect [PERIOD]
adorable [AND] talkative [IMPLY] wandering [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   Cannot apply rule “victorious ⇒ pessimistic” because missing: victorious.
   Cannot apply rule “wandering ∧ ambitious ⇒ pessimistic” because missing: wandering.
",0,2
"Facts: 
Rules:
busy [AND] old-fashioned [IMPLY] joyous [PERIOD]
talkative [IMPLY] thoughtful [PERIOD]
long [AND] frantic [AND] hilarious [IMPLY] thoughtful [PERIOD]
hilarious [IMPLY] thoughtful [PERIOD]
frantic [AND] weary [AND] anxious [IMPLY] thoughtful [PERIOD]
confused [AND] witty [IMPLY] unpleasant [PERIOD]
inexpensive [IMPLY] adorable [PERIOD]
old-fashioned [IMPLY] joyous [PERIOD]
old-fashioned [AND] weary [IMPLY] condemned [PERIOD]
loving [AND] frightened [AND] frantic [IMPLY] innocent [PERIOD]
unpleasant [AND] inexpensive [IMPLY] weary [PERIOD]
busy [AND] adorable [AND] charming [IMPLY] condemned [PERIOD]
loving [AND] confused [IMPLY] frightened [PERIOD]
anxious [AND] talkative [IMPLY] charming [PERIOD]
anxious [AND] long [AND] unpleasant [IMPLY] loving [PERIOD]
adorable [AND] unpleasant [IMPLY] smart [PERIOD]
confused [AND] hilarious [IMPLY] innocent [PERIOD]
loving [AND] joyous [AND] old-fashioned [IMPLY] difficult [PERIOD]
anxious [AND] charming [AND] frightened [IMPLY] witty [PERIOD]
adorable [AND] shy [IMPLY] talkative [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
   Cannot apply rule “busy ∧ old-fashioned ⇒ joyous” because missing: busy, old-fashioned.
   Cannot apply rule “old-fashioned ⇒ joyous” because missing: old-fashioned.
",0,2
"Facts:  Alice is easy [PERIOD] Alice is pessimistic [PERIOD] Alice is elegant [PERIOD]
Rules:
smart [AND] easy [IMPLY] horrible [PERIOD]
scared [AND] messy [AND] smart [IMPLY] easy [PERIOD]
smart [AND] easy [IMPLY] proud [PERIOD]
proud [AND] fragile [IMPLY] bored [PERIOD]
pessimistic [IMPLY] smart [PERIOD]
elegant [IMPLY] pessimistic [PERIOD]
messy [IMPLY] elegant [PERIOD]
bored [AND] easy [IMPLY] horrible [PERIOD]
pessimistic [AND] fragile [AND] elegant [IMPLY] easy [PERIOD]
fragile [IMPLY] tense [PERIOD]
fragile [AND] tense [AND] easy [IMPLY] proud [PERIOD]
horrible [AND] bored [IMPLY] tense [PERIOD]
horrible [AND] proud [IMPLY] tense [PERIOD]
bored [AND] pessimistic [AND] easy [IMPLY] proud [PERIOD]
proud [AND] scared [IMPLY] selfish [PERIOD]
smart [AND] elegant [IMPLY] proud [PERIOD]
tense [AND] selfish [IMPLY] pessimistic [PERIOD]
pessimistic [IMPLY] proud [PERIOD]
tense [IMPLY] smart [PERIOD]
tense [AND] easy [IMPLY] smart [PERIOD]
bored [AND] pessimistic [IMPLY] easy [PERIOD]
smart [AND] selfish [IMPLY] pessimistic [PERIOD]
elegant [AND] proud [AND] selfish [IMPLY] pessimistic [PERIOD]
tense [AND] pessimistic [AND] scared [IMPLY] bored [PERIOD]
fragile [AND] elegant [AND] proud [IMPLY] horrible [PERIOD]
bored [IMPLY] pessimistic [PERIOD]
pessimistic [AND] elegant [AND] scared [IMPLY] fragile [PERIOD]
bored [IMPLY] selfish [PERIOD]
smart [IMPLY] messy [PERIOD]
fragile [AND] messy [IMPLY] proud [PERIOD]
fragile [IMPLY] messy [PERIOD]
fragile [IMPLY] selfish [PERIOD]
scared [AND] messy [IMPLY] selfish [PERIOD]
messy [AND] tense [AND] scared [IMPLY] pessimistic [PERIOD]
tense [AND] pessimistic [AND] selfish [IMPLY] bored [PERIOD]
bored [AND] scared [AND] tense [IMPLY] smart [PERIOD]
Query: Alice is selfish [PERIOD]","Proof chain:
   pessimistic ⇒ proud
   Cannot apply rule “proud ∧ scared ⇒ selfish” because missing: scared.
   Cannot apply rule “bored ⇒ selfish” because missing: bored.
   Cannot apply rule “fragile ⇒ selfish” because missing: fragile.
   pessimistic ⇒ smart
   smart ⇒ messy
   Cannot apply rule “scared ∧ messy ⇒ selfish” because missing: scared.
",0,7
"Facts:  Alice is sincere [PERIOD] Alice is straightforward [PERIOD] Alice is fine [PERIOD]
Rules:
wide-eyed [IMPLY] supportive [PERIOD]
hypocritical [AND] scared [IMPLY] easy [PERIOD]
tender [AND] wide-eyed [IMPLY] powerful [PERIOD]
outstanding [AND] spotless [AND] embarrassed [IMPLY] straightforward [PERIOD]
straightforward [AND] wandering [IMPLY] spotless [PERIOD]
embarrassed [AND] friendly [AND] wandering [IMPLY] powerful [PERIOD]
tender [AND] outstanding [IMPLY] straightforward [PERIOD]
excited [IMPLY] spotless [PERIOD]
fine [AND] wide-eyed [IMPLY] hypocritical [PERIOD]
excited [IMPLY] dull [PERIOD]
tender [AND] powerful [AND] troubled [IMPLY] embarrassed [PERIOD]
excited [AND] embarrassed [IMPLY] rude [PERIOD]
excited [AND] embarrassed [IMPLY] spotless [PERIOD]
tender [IMPLY] supportive [PERIOD]
excited [IMPLY] straightforward [PERIOD]
straightforward [AND] friendly [IMPLY] easy [PERIOD]
wandering [AND] hypocritical [AND] troubled [IMPLY] dull [PERIOD]
spotless [IMPLY] supportive [PERIOD]
rude [IMPLY] troubled [PERIOD]
easy [AND] dull [AND] fine [IMPLY] outstanding [PERIOD]
easy [AND] sincere [AND] fine [IMPLY] scared [PERIOD]
nervous [IMPLY] sincere [PERIOD]
tender [IMPLY] nervous [PERIOD]
scared [IMPLY] straightforward [PERIOD]
wide-eyed [AND] spotless [IMPLY] wandering [PERIOD]
powerful [IMPLY] excited [PERIOD]
troubled [AND] outstanding [AND] wandering [IMPLY] sincere [PERIOD]
elated [IMPLY] straightforward [PERIOD]
scared [AND] elated [AND] sincere [IMPLY] fine [PERIOD]
excited [AND] rude [AND] supportive [IMPLY] sensible [PERIOD]
easy [AND] embarrassed [IMPLY] straightforward [PERIOD]
powerful [IMPLY] scared [PERIOD]
troubled [IMPLY] hypocritical [PERIOD]
outstanding [IMPLY] easy [PERIOD]
fine [AND] powerful [IMPLY] easy [PERIOD]
outstanding [IMPLY] wandering [PERIOD]
spotless [IMPLY] straightforward [PERIOD]
dull [IMPLY] easy [PERIOD]
hypocritical [AND] elated [IMPLY] wandering [PERIOD]
wide-eyed [IMPLY] friendly [PERIOD]
scared [AND] troubled [IMPLY] wide-eyed [PERIOD]
scared [IMPLY] spotless [PERIOD]
spotless [AND] hypocritical [IMPLY] sincere [PERIOD]
powerful [IMPLY] dull [PERIOD]
friendly [IMPLY] straightforward [PERIOD]
powerful [AND] spotless [AND] sensible [IMPLY] hypocritical [PERIOD]
sensible [AND] easy [AND] wide-eyed [IMPLY] dull [PERIOD]
friendly [AND] rude [AND] embarrassed [IMPLY] outstanding [PERIOD]
troubled [IMPLY] sensible [PERIOD]
elated [IMPLY] dull [PERIOD]
Query: Alice is dull [PERIOD]","Proof chain:
   Cannot apply rule “excited ⇒ dull” because missing: excited.
   Cannot apply rule “wandering ∧ hypocritical ∧ troubled ⇒ dull” because missing: wandering, hypocritical, troubled.
   Cannot apply rule “powerful ⇒ dull” because missing: powerful.
   Cannot apply rule “sensible ∧ easy ∧ wide-eyed ⇒ dull” because missing: sensible, easy, wide-eyed.
   Cannot apply rule “elated ⇒ dull” because missing: elated.
",0,5
"Facts:  Alice is rude [PERIOD] Alice is loving [PERIOD] Alice is old-fashioned [PERIOD] Alice is stubborn [PERIOD] Alice is reserved [PERIOD] Alice is wide-eyed [PERIOD] Alice is silly [PERIOD] Alice is dishonest [PERIOD] Alice is troubled [PERIOD] Alice is wandering [PERIOD] Alice is average [PERIOD] Alice is jittery [PERIOD] Alice is pleasant [PERIOD]
Rules:
mysterious [AND] proud [IMPLY] intellectual [PERIOD]
pleasant [IMPLY] reserved [PERIOD]
old-fashioned [AND] jittery [AND] reserved [IMPLY] rude [PERIOD]
silly [IMPLY] wide-eyed [PERIOD]
alert [IMPLY] glamorous [PERIOD]
mysterious [IMPLY] wide-eyed [PERIOD]
intellectual [IMPLY] jittery [PERIOD]
excited [IMPLY] lonely [PERIOD]
excited [AND] wide-eyed [AND] glamorous [IMPLY] stubborn [PERIOD]
attractive [AND] stupid [IMPLY] mysterious [PERIOD]
glamorous [AND] alert [AND] wide-eyed [IMPLY] old-fashioned [PERIOD]
excited [AND] rude [AND] troubled [IMPLY] inexpensive [PERIOD]
joyous [AND] silly [IMPLY] cooperative [PERIOD]
troubled [AND] inexpensive [IMPLY] excited [PERIOD]
stubborn [IMPLY] supportive [PERIOD]
jittery [AND] inexpensive [AND] silly [IMPLY] proud [PERIOD]
loving [AND] stubborn [IMPLY] reserved [PERIOD]
loving [IMPLY] inexpensive [PERIOD]
cooperative [AND] jittery [AND] pleasant [IMPLY] lonely [PERIOD]
proud [AND] attractive [AND] excited [IMPLY] old-fashioned [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
   No rule concludes “joyous.”
",0,1
"Facts:  Alice is busy [PERIOD] Alice is versatile [PERIOD] Alice is cruel [PERIOD] Alice is uptight [PERIOD] Alice is gifted [PERIOD] Alice is adorable [PERIOD] Alice is thoughtful [PERIOD] Alice is worried [PERIOD] Alice is disgusted [PERIOD]
Rules:
plain [AND] foolish [IMPLY] sincere [PERIOD]
uptight [AND] sincere [IMPLY] busy [PERIOD]
uptight [AND] gifted [IMPLY] victorious [PERIOD]
cruel [IMPLY] busy [PERIOD]
uptight [IMPLY] long [PERIOD]
versatile [IMPLY] foolish [PERIOD]
foolish [AND] cooperative [IMPLY] quaint [PERIOD]
victorious [AND] cooperative [AND] worried [IMPLY] adorable [PERIOD]
foolish [AND] worried [AND] busy [IMPLY] gifted [PERIOD]
foolish [AND] long [IMPLY] busy [PERIOD]
versatile [AND] inquisitive [AND] worried [IMPLY] foolish [PERIOD]
disgusted [IMPLY] tender [PERIOD]
foolish [IMPLY] worrisome [PERIOD]
versatile [AND] long [AND] inquisitive [IMPLY] tender [PERIOD]
thoughtful [IMPLY] quaint [PERIOD]
cooperative [AND] tender [AND] adorable [IMPLY] foolish [PERIOD]
disgusted [AND] victorious [AND] distinct [IMPLY] uptight [PERIOD]
cooperative [AND] distinct [AND] plain [IMPLY] quaint [PERIOD]
sincere [AND] distinct [IMPLY] adorable [PERIOD]
worried [AND] quaint [IMPLY] gifted [PERIOD]
quaint [IMPLY] plain [PERIOD]
worried [AND] plain [IMPLY] bright [PERIOD]
bright [AND] gifted [AND] worried [IMPLY] disgusted [PERIOD]
adorable [IMPLY] worried [PERIOD]
plain [AND] cooperative [IMPLY] sincere [PERIOD]
sincere [IMPLY] plain [PERIOD]
distinct [AND] plain [AND] cooperative [IMPLY] disgusted [PERIOD]
quaint [AND] long [AND] cruel [IMPLY] calm [PERIOD]
long [AND] sincere [IMPLY] calm [PERIOD]
bright [AND] tender [IMPLY] worrisome [PERIOD]
bright [AND] versatile [AND] distinct [IMPLY] worrisome [PERIOD]
cooperative [IMPLY] worrisome [PERIOD]
bright [AND] quaint [AND] adorable [IMPLY] cooperative [PERIOD]
tender [AND] gifted [IMPLY] busy [PERIOD]
disgusted [IMPLY] uptight [PERIOD]
worrisome [AND] worried [IMPLY] thoughtful [PERIOD]
cooperative [AND] uptight [IMPLY] long [PERIOD]
cruel [AND] gifted [IMPLY] adorable [PERIOD]
victorious [AND] sincere [AND] plain [IMPLY] calm [PERIOD]
inquisitive [IMPLY] adorable [PERIOD]
foolish [IMPLY] uptight [PERIOD]
versatile [AND] long [AND] foolish [IMPLY] calm [PERIOD]
calm [AND] versatile [IMPLY] foolish [PERIOD]
sincere [IMPLY] cooperative [PERIOD]
uptight [AND] versatile [AND] worrisome [IMPLY] tender [PERIOD]
uptight [AND] cruel [IMPLY] long [PERIOD]
sincere [AND] victorious [IMPLY] disgusted [PERIOD]
worried [IMPLY] long [PERIOD]
plain [AND] adorable [IMPLY] calm [PERIOD]
thoughtful [AND] adorable [AND] distinct [IMPLY] bright [PERIOD]
gifted [AND] long [AND] calm [IMPLY] worrisome [PERIOD]
sincere [IMPLY] long [PERIOD]
quaint [IMPLY] distinct [PERIOD]
disgusted [AND] plain [AND] cooperative [IMPLY] adorable [PERIOD]
calm [AND] tender [IMPLY] gifted [PERIOD]
plain [IMPLY] adorable [PERIOD]
cooperative [IMPLY] plain [PERIOD]
bright [AND] disgusted [AND] uptight [IMPLY] cruel [PERIOD]
gifted [AND] victorious [IMPLY] calm [PERIOD]
cooperative [IMPLY] gifted [PERIOD]
inquisitive [IMPLY] bright [PERIOD]
gifted [AND] busy [IMPLY] quaint [PERIOD]
cruel [AND] gifted [AND] cooperative [IMPLY] victorious [PERIOD]
inquisitive [IMPLY] worried [PERIOD]
victorious [AND] tender [AND] cruel [IMPLY] sincere [PERIOD]
plain [AND] inquisitive [AND] distinct [IMPLY] cooperative [PERIOD]
worried [AND] thoughtful [AND] quaint [IMPLY] long [PERIOD]
foolish [IMPLY] quaint [PERIOD]
thoughtful [IMPLY] worrisome [PERIOD]
uptight [AND] victorious [AND] busy [IMPLY] distinct [PERIOD]
calm [AND] worried [AND] long [IMPLY] worrisome [PERIOD]
tender [AND] long [AND] gifted [IMPLY] adorable [PERIOD]
long [AND] thoughtful [AND] busy [IMPLY] disgusted [PERIOD]
thoughtful [AND] calm [AND] gifted [IMPLY] tender [PERIOD]
calm [AND] gifted [AND] bright [IMPLY] sincere [PERIOD]
tender [AND] cooperative [IMPLY] quaint [PERIOD]
cooperative [AND] tender [AND] plain [IMPLY] victorious [PERIOD]
adorable [AND] thoughtful [AND] quaint [IMPLY] versatile [PERIOD]
disgusted [AND] cruel [IMPLY] long [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   uptight ∧ gifted ⇒ victorious
   disgusted ⇒ tender
   victorious ∧ tender ∧ cruel ⇒ sincere
   sincere ⇒ cooperative
",1,4
"Facts: 
Rules:
frail [AND] shiny [IMPLY] ambitious [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   No rule concludes “calm.”
",0,1
"Facts:  Alice is average [PERIOD] Alice is thoughtful [PERIOD] Alice is tired [PERIOD] Alice is different [PERIOD] Alice is dull [PERIOD] Alice is ugly [PERIOD] Alice is zealous [PERIOD]
Rules:
distinct [AND] thoughtful [IMPLY] dull [PERIOD]
thoughtful [AND] ugly [IMPLY] wandering [PERIOD]
different [AND] cooperative [IMPLY] beautiful [PERIOD]
wide-eyed [AND] ugly [AND] plain [IMPLY] frantic [PERIOD]
wandering [AND] average [AND] distinct [IMPLY] difficult [PERIOD]
shiny [IMPLY] mean [PERIOD]
amused [AND] shiny [IMPLY] plain [PERIOD]
dull [AND] strange [IMPLY] outrageous [PERIOD]
zealous [IMPLY] different [PERIOD]
light [IMPLY] shiny [PERIOD]
tired [AND] wide-eyed [IMPLY] amused [PERIOD]
dull [AND] ugly [AND] thoughtful [IMPLY] distinct [PERIOD]
ugly [AND] light [AND] average [IMPLY] tired [PERIOD]
beautiful [AND] difficult [IMPLY] uptight [PERIOD]
strange [AND] uptight [IMPLY] cooperative [PERIOD]
ugly [IMPLY] distinct [PERIOD]
amused [AND] thoughtless [IMPLY] wandering [PERIOD]
mean [AND] worrisome [IMPLY] ugly [PERIOD]
wide-eyed [AND] amused [AND] difficult [IMPLY] scared [PERIOD]
fancy [AND] thoughtless [IMPLY] thoughtful [PERIOD]
wandering [AND] mean [IMPLY] cooperative [PERIOD]
scared [IMPLY] frantic [PERIOD]
wide-eyed [AND] thoughtful [IMPLY] beautiful [PERIOD]
wide-eyed [IMPLY] dull [PERIOD]
zealous [AND] outrageous [IMPLY] plain [PERIOD]
cooperative [IMPLY] zealous [PERIOD]
strange [AND] thoughtless [IMPLY] scared [PERIOD]
frantic [AND] scared [IMPLY] thoughtless [PERIOD]
scared [IMPLY] beautiful [PERIOD]
dull [IMPLY] average [PERIOD]
thoughtless [AND] difficult [IMPLY] zealous [PERIOD]
shiny [IMPLY] worrisome [PERIOD]
uptight [AND] dull [AND] strange [IMPLY] wide-eyed [PERIOD]
light [AND] plain [AND] strange [IMPLY] average [PERIOD]
outrageous [IMPLY] thoughtless [PERIOD]
strange [AND] plain [IMPLY] wide-eyed [PERIOD]
uptight [AND] shiny [AND] cooperative [IMPLY] distinct [PERIOD]
mean [AND] zealous [AND] distinct [IMPLY] fancy [PERIOD]
ugly [AND] zealous [AND] different [IMPLY] beautiful [PERIOD]
strange [AND] worrisome [IMPLY] average [PERIOD]
shiny [AND] light [AND] uptight [IMPLY] difficult [PERIOD]
fancy [AND] light [AND] worrisome [IMPLY] shiny [PERIOD]
cooperative [AND] shiny [IMPLY] distinct [PERIOD]
thoughtful [IMPLY] ugly [PERIOD]
dull [AND] different [IMPLY] worrisome [PERIOD]
uptight [IMPLY] fancy [PERIOD]
difficult [AND] outrageous [AND] dull [IMPLY] average [PERIOD]
thoughtless [AND] zealous [AND] wide-eyed [IMPLY] outrageous [PERIOD]
strange [AND] dull [AND] cooperative [IMPLY] shiny [PERIOD]
wide-eyed [AND] wandering [AND] tired [IMPLY] distinct [PERIOD]
light [IMPLY] strange [PERIOD]
tired [AND] outrageous [IMPLY] uptight [PERIOD]
uptight [AND] wandering [IMPLY] outrageous [PERIOD]
light [AND] shiny [IMPLY] distinct [PERIOD]
scared [AND] difficult [IMPLY] mean [PERIOD]
frantic [AND] average [IMPLY] zealous [PERIOD]
dull [IMPLY] wandering [PERIOD]
mean [AND] plain [AND] strange [IMPLY] outrageous [PERIOD]
light [AND] distinct [AND] wandering [IMPLY] amused [PERIOD]
cooperative [AND] scared [AND] thoughtless [IMPLY] light [PERIOD]
plain [AND] average [AND] distinct [IMPLY] uptight [PERIOD]
light [AND] distinct [IMPLY] wandering [PERIOD]
wide-eyed [AND] difficult [IMPLY] amused [PERIOD]
distinct [AND] tired [AND] wandering [IMPLY] light [PERIOD]
scared [AND] outrageous [AND] uptight [IMPLY] strange [PERIOD]
Query: Alice is outrageous [PERIOD]","Proof chain:
   dull ∧ ugly ∧ thoughtful ⇒ distinct
   dull ⇒ wandering
   distinct ∧ tired ∧ wandering ⇒ light
   light ⇒ strange
   dull ∧ strange ⇒ outrageous
",1,5
"Facts:  Alice is worried [PERIOD]
Rules:
lucky [AND] cooperative [IMPLY] tired [PERIOD]
long [AND] helpless [AND] tired [IMPLY] lucky [PERIOD]
bright [AND] helpless [AND] frightened [IMPLY] easy [PERIOD]
lucky [IMPLY] easy [PERIOD]
bright [AND] long [IMPLY] cooperative [PERIOD]
cooperative [AND] tired [AND] long [IMPLY] unpleasant [PERIOD]
proud [IMPLY] easy [PERIOD]
helpless [AND] lucky [AND] tired [IMPLY] proud [PERIOD]
cooperative [IMPLY] proud [PERIOD]
lucky [IMPLY] helpless [PERIOD]
worried [IMPLY] bright [PERIOD]
lucky [AND] tired [IMPLY] bright [PERIOD]
frightened [AND] easy [IMPLY] cooperative [PERIOD]
long [IMPLY] bright [PERIOD]
easy [AND] tired [AND] worried [IMPLY] bright [PERIOD]
tired [AND] helpless [AND] long [IMPLY] bright [PERIOD]
unpleasant [IMPLY] worried [PERIOD]
frightened [AND] helpless [IMPLY] lucky [PERIOD]
long [AND] frightened [AND] worried [IMPLY] lucky [PERIOD]
tired [AND] unpleasant [IMPLY] frightened [PERIOD]
long [IMPLY] proud [PERIOD]
frightened [AND] worried [AND] bright [IMPLY] unpleasant [PERIOD]
bright [AND] frightened [AND] unpleasant [IMPLY] proud [PERIOD]
lucky [AND] tired [IMPLY] cooperative [PERIOD]
easy [AND] bright [AND] lucky [IMPLY] proud [PERIOD]
proud [AND] tired [IMPLY] lucky [PERIOD]
cooperative [AND] frightened [AND] proud [IMPLY] tired [PERIOD]
tired [AND] lucky [IMPLY] unpleasant [PERIOD]
lucky [IMPLY] cooperative [PERIOD]
lucky [AND] proud [AND] bright [IMPLY] helpless [PERIOD]
tired [AND] lucky [AND] proud [IMPLY] helpless [PERIOD]
unpleasant [AND] cooperative [AND] lucky [IMPLY] helpless [PERIOD]
proud [AND] unpleasant [IMPLY] long [PERIOD]
Query: Alice is proud [PERIOD]","Proof chain:
   Cannot apply rule “helpless ∧ lucky ∧ tired ⇒ proud” because missing: helpless, lucky, tired.
   Cannot apply rule “cooperative ⇒ proud” because missing: cooperative.
   Cannot apply rule “long ⇒ proud” because missing: long.
   worried ⇒ bright
   Cannot apply rule “bright ∧ frightened ∧ unpleasant ⇒ proud” because missing: frightened, unpleasant.
   worried ⇒ bright
   Cannot apply rule “easy ∧ bright ∧ lucky ⇒ proud” because missing: easy, lucky.
",0,7
"Facts:  Alice is innocent [PERIOD] Alice is naughty [PERIOD]
Rules:
naughty [AND] friendly [IMPLY] aggressive [PERIOD]
charming [AND] aggressive [AND] innocent [IMPLY] long [PERIOD]
elated [AND] charming [IMPLY] broad-minded [PERIOD]
aggressive [AND] broad-minded [AND] innocent [IMPLY] charming [PERIOD]
naughty [IMPLY] broad-minded [PERIOD]
elated [AND] aggressive [IMPLY] long [PERIOD]
elated [AND] frightened [IMPLY] charming [PERIOD]
long [IMPLY] elated [PERIOD]
broad-minded [IMPLY] naughty [PERIOD]
elated [IMPLY] innocent [PERIOD]
friendly [AND] frightened [IMPLY] elated [PERIOD]
friendly [AND] frightened [AND] naughty [IMPLY] broad-minded [PERIOD]
naughty [IMPLY] aggressive [PERIOD]
broad-minded [AND] naughty [IMPLY] friendly [PERIOD]
broad-minded [AND] aggressive [AND] elated [IMPLY] friendly [PERIOD]
innocent [AND] naughty [AND] friendly [IMPLY] aggressive [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   naughty ⇒ broad-minded
   broad-minded ∧ naughty ⇒ friendly
",1,2
"Facts:  Alice is charming [PERIOD]
Rules:
witty [AND] charming [IMPLY] fancy [PERIOD]
witty [IMPLY] charming [PERIOD]
fancy [AND] witty [IMPLY] ugly [PERIOD]
ugly [AND] bored [AND] fancy [IMPLY] light [PERIOD]
ugly [IMPLY] witty [PERIOD]
charming [AND] light [IMPLY] witty [PERIOD]
charming [IMPLY] light [PERIOD]
witty [AND] ugly [AND] fancy [IMPLY] light [PERIOD]
witty [IMPLY] bored [PERIOD]
witty [AND] fancy [AND] light [IMPLY] charming [PERIOD]
fancy [AND] charming [AND] light [IMPLY] witty [PERIOD]
bored [AND] witty [AND] charming [IMPLY] light [PERIOD]
fancy [AND] bored [IMPLY] ugly [PERIOD]
witty [IMPLY] fancy [PERIOD]
bored [AND] charming [AND] witty [IMPLY] fancy [PERIOD]
bored [IMPLY] witty [PERIOD]
ugly [AND] fancy [AND] bored [IMPLY] charming [PERIOD]
Query: Alice is bored [PERIOD]","Proof chain:
   charming ⇒ light
   charming ∧ light ⇒ witty
   witty ⇒ bored
",1,3
"Facts: 
Rules:
comfortable [AND] famous [AND] disobedient [IMPLY] cooperative [PERIOD]
disobedient [AND] cooperative [AND] mean [IMPLY] famous [PERIOD]
mean [IMPLY] famous [PERIOD]
comfortable [AND] mean [IMPLY] disobedient [PERIOD]
cooperative [AND] cruel [IMPLY] disobedient [PERIOD]
disobedient [AND] comfortable [IMPLY] mean [PERIOD]
comfortable [IMPLY] cruel [PERIOD]
comfortable [AND] mean [AND] famous [IMPLY] cruel [PERIOD]
cooperative [AND] comfortable [IMPLY] famous [PERIOD]
cruel [AND] disobedient [IMPLY] cooperative [PERIOD]
comfortable [AND] cruel [AND] mean [IMPLY] disobedient [PERIOD]
cooperative [AND] cruel [IMPLY] comfortable [PERIOD]
comfortable [AND] disobedient [AND] mean [IMPLY] cruel [PERIOD]
famous [AND] cruel [IMPLY] cooperative [PERIOD]
comfortable [IMPLY] disobedient [PERIOD]
cooperative [AND] mean [AND] disobedient [IMPLY] comfortable [PERIOD]
mean [AND] comfortable [IMPLY] cooperative [PERIOD]
mean [AND] cruel [AND] comfortable [IMPLY] cooperative [PERIOD]
mean [AND] disobedient [IMPLY] cruel [PERIOD]
comfortable [AND] famous [IMPLY] disobedient [PERIOD]
cooperative [AND] disobedient [AND] cruel [IMPLY] famous [PERIOD]
cooperative [AND] famous [AND] mean [IMPLY] cruel [PERIOD]
comfortable [IMPLY] mean [PERIOD]
comfortable [AND] famous [AND] cruel [IMPLY] cooperative [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   Cannot apply rule “cooperative ∧ cruel ⇒ comfortable” because missing: cooperative, cruel.
   Cannot apply rule “cooperative ∧ mean ∧ disobedient ⇒ comfortable” because missing: cooperative, mean, disobedient.
",0,2
"Facts:  Alice is helpless [PERIOD] Alice is sensible [PERIOD]
Rules:
crowded [AND] pessimistic [IMPLY] helpless [PERIOD]
helpless [AND] sensible [IMPLY] pessimistic [PERIOD]
sensible [AND] famous [IMPLY] helpless [PERIOD]
sensible [AND] pessimistic [AND] crowded [IMPLY] famous [PERIOD]
crowded [AND] sensible [AND] famous [IMPLY] helpless [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   helpless ∧ sensible ⇒ pessimistic
   Cannot apply rule “sensible ∧ pessimistic ∧ crowded ⇒ famous” because missing: crowded.
",0,2
"Facts:  Alice is horrible [PERIOD] Alice is smart [PERIOD] Alice is hilarious [PERIOD] Alice is impatient [PERIOD] Alice is outstanding [PERIOD] Alice is frantic [PERIOD] Alice is foolish [PERIOD] Alice is strange [PERIOD] Alice is fearless [PERIOD] Alice is mean [PERIOD]
Rules:
fearless [AND] hilarious [IMPLY] horrible [PERIOD]
fearless [AND] horrible [IMPLY] outstanding [PERIOD]
busy [AND] strange [IMPLY] hilarious [PERIOD]
impatient [IMPLY] foolish [PERIOD]
fearless [AND] smart [IMPLY] busy [PERIOD]
mean [IMPLY] hilarious [PERIOD]
frantic [AND] foolish [IMPLY] strange [PERIOD]
fearless [AND] foolish [AND] smart [IMPLY] impatient [PERIOD]
fearless [IMPLY] smart [PERIOD]
foolish [AND] strange [AND] frantic [IMPLY] impatient [PERIOD]
mean [AND] smart [AND] fearless [IMPLY] strange [PERIOD]
hilarious [AND] frantic [IMPLY] strange [PERIOD]
busy [AND] frantic [IMPLY] foolish [PERIOD]
strange [IMPLY] hilarious [PERIOD]
fearless [AND] frantic [AND] outstanding [IMPLY] foolish [PERIOD]
impatient [AND] fearless [IMPLY] strange [PERIOD]
busy [AND] fearless [AND] outstanding [IMPLY] hilarious [PERIOD]
fearless [AND] impatient [AND] frantic [IMPLY] busy [PERIOD]
mean [AND] busy [AND] fearless [IMPLY] outstanding [PERIOD]
fearless [AND] frantic [AND] strange [IMPLY] horrible [PERIOD]
impatient [AND] foolish [IMPLY] strange [PERIOD]
smart [IMPLY] busy [PERIOD]
frantic [IMPLY] outstanding [PERIOD]
frantic [AND] fearless [AND] foolish [IMPLY] strange [PERIOD]
strange [IMPLY] outstanding [PERIOD]
frantic [IMPLY] foolish [PERIOD]
outstanding [IMPLY] busy [PERIOD]
impatient [AND] smart [AND] strange [IMPLY] horrible [PERIOD]
hilarious [AND] outstanding [IMPLY] frantic [PERIOD]
strange [AND] outstanding [IMPLY] hilarious [PERIOD]
horrible [IMPLY] strange [PERIOD]
impatient [AND] mean [AND] frantic [IMPLY] busy [PERIOD]
horrible [AND] mean [IMPLY] fearless [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is condemned [PERIOD] Alice is mean [PERIOD] Alice is blushing [PERIOD] Alice is courageous [PERIOD] Alice is stupid [PERIOD] Alice is bossy [PERIOD] Alice is shiny [PERIOD] Alice is dishonest [PERIOD] Alice is fine [PERIOD] Alice is rational [PERIOD] Alice is gifted [PERIOD]
Rules:
victorious [IMPLY] modern [PERIOD]
dishonest [IMPLY] stupid [PERIOD]
blushing [AND] gifted [AND] wrong [IMPLY] fine [PERIOD]
condemned [AND] gifted [IMPLY] mean [PERIOD]
mean [AND] rational [AND] modern [IMPLY] victorious [PERIOD]
victorious [IMPLY] excited [PERIOD]
dishonest [IMPLY] victorious [PERIOD]
mean [AND] courageous [IMPLY] condemned [PERIOD]
modern [IMPLY] easy [PERIOD]
shiny [AND] inquisitive [IMPLY] messy [PERIOD]
condemned [IMPLY] bright [PERIOD]
weary [IMPLY] excited [PERIOD]
jittery [IMPLY] gifted [PERIOD]
stupid [IMPLY] courageous [PERIOD]
easy [IMPLY] jittery [PERIOD]
bright [AND] excited [IMPLY] stupid [PERIOD]
courageous [IMPLY] weary [PERIOD]
dishonest [AND] fine [AND] modern [IMPLY] condemned [PERIOD]
excited [IMPLY] rational [PERIOD]
mean [IMPLY] dishonest [PERIOD]
easy [AND] jittery [AND] condemned [IMPLY] excited [PERIOD]
jittery [AND] messy [AND] inquisitive [IMPLY] excited [PERIOD]
jittery [AND] anxious [IMPLY] messy [PERIOD]
gifted [AND] modern [IMPLY] dishonest [PERIOD]
modern [AND] jittery [IMPLY] easy [PERIOD]
victorious [AND] dishonest [AND] jittery [IMPLY] condemned [PERIOD]
inquisitive [AND] modern [IMPLY] ambitious [PERIOD]
victorious [IMPLY] gifted [PERIOD]
dishonest [AND] easy [IMPLY] rational [PERIOD]
wrong [AND] jittery [AND] messy [IMPLY] mean [PERIOD]
messy [AND] blushing [AND] stupid [IMPLY] joyous [PERIOD]
inquisitive [AND] anxious [IMPLY] blushing [PERIOD]
victorious [AND] ambitious [AND] jittery [IMPLY] condemned [PERIOD]
inquisitive [IMPLY] mean [PERIOD]
shiny [IMPLY] weary [PERIOD]
ambitious [IMPLY] gifted [PERIOD]
weary [IMPLY] ambitious [PERIOD]
modern [AND] inquisitive [IMPLY] weary [PERIOD]
bossy [IMPLY] bright [PERIOD]
wrong [AND] joyous [AND] ambitious [IMPLY] weary [PERIOD]
inquisitive [AND] mean [IMPLY] condemned [PERIOD]
dishonest [AND] blushing [IMPLY] fine [PERIOD]
joyous [IMPLY] ambitious [PERIOD]
blushing [AND] courageous [AND] modern [IMPLY] victorious [PERIOD]
condemned [AND] ambitious [IMPLY] inquisitive [PERIOD]
joyous [AND] fine [IMPLY] modern [PERIOD]
dishonest [IMPLY] modern [PERIOD]
joyous [AND] easy [IMPLY] wrong [PERIOD]
modern [AND] blushing [AND] ambitious [IMPLY] excited [PERIOD]
easy [IMPLY] anxious [PERIOD]
joyous [AND] condemned [AND] mean [IMPLY] stupid [PERIOD]
fine [IMPLY] dishonest [PERIOD]
inquisitive [AND] ambitious [IMPLY] gifted [PERIOD]
weary [AND] messy [IMPLY] bossy [PERIOD]
ambitious [AND] excited [IMPLY] weary [PERIOD]
joyous [AND] rational [AND] gifted [IMPLY] victorious [PERIOD]
shiny [AND] bossy [IMPLY] messy [PERIOD]
rational [AND] blushing [AND] mean [IMPLY] bossy [PERIOD]
condemned [IMPLY] gifted [PERIOD]
stupid [AND] messy [IMPLY] modern [PERIOD]
stupid [AND] fine [IMPLY] jittery [PERIOD]
excited [AND] modern [AND] jittery [IMPLY] easy [PERIOD]
wrong [AND] jittery [IMPLY] courageous [PERIOD]
weary [IMPLY] wrong [PERIOD]
modern [IMPLY] bossy [PERIOD]
gifted [AND] excited [IMPLY] ambitious [PERIOD]
messy [IMPLY] inquisitive [PERIOD]
excited [AND] blushing [AND] stupid [IMPLY] easy [PERIOD]
bossy [IMPLY] fine [PERIOD]
mean [AND] stupid [AND] bossy [IMPLY] rational [PERIOD]
inquisitive [IMPLY] jittery [PERIOD]
weary [AND] blushing [IMPLY] shiny [PERIOD]
rational [AND] excited [IMPLY] fine [PERIOD]
fine [AND] dishonest [IMPLY] shiny [PERIOD]
ambitious [AND] stupid [IMPLY] bossy [PERIOD]
fine [AND] gifted [IMPLY] mean [PERIOD]
victorious [IMPLY] condemned [PERIOD]
mean [AND] victorious [IMPLY] joyous [PERIOD]
condemned [AND] courageous [IMPLY] wrong [PERIOD]
weary [AND] stupid [IMPLY] bossy [PERIOD]
joyous [IMPLY] condemned [PERIOD]
mean [IMPLY] modern [PERIOD]
messy [IMPLY] bright [PERIOD]
wrong [AND] messy [AND] shiny [IMPLY] courageous [PERIOD]
mean [IMPLY] shiny [PERIOD]
fine [IMPLY] weary [PERIOD]
gifted [IMPLY] wrong [PERIOD]
stupid [AND] jittery [IMPLY] easy [PERIOD]
rational [IMPLY] modern [PERIOD]
jittery [IMPLY] bossy [PERIOD]
messy [IMPLY] joyous [PERIOD]
jittery [AND] dishonest [AND] joyous [IMPLY] victorious [PERIOD]
condemned [IMPLY] courageous [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   stupid ∧ fine ⇒ jittery
   stupid ∧ jittery ⇒ easy
   easy ⇒ anxious
",1,3
"Facts:  Alice is charming [PERIOD] Alice is mysterious [PERIOD] Alice is dishonest [PERIOD] Alice is fancy [PERIOD] Alice is rude [PERIOD] Alice is worried [PERIOD] Alice is enchanting [PERIOD] Alice is joyous [PERIOD] Alice is stormy [PERIOD] Alice is jittery [PERIOD] Alice is diplomatic [PERIOD] Alice is foolish [PERIOD] Alice is uptight [PERIOD] Alice is long [PERIOD] Alice is bright [PERIOD]
Rules:
uptight [IMPLY] bright [PERIOD]
joyous [IMPLY] foolish [PERIOD]
charming [AND] worried [AND] foolish [IMPLY] uptight [PERIOD]
worried [AND] nervous [AND] foolish [IMPLY] tame [PERIOD]
mysterious [AND] diplomatic [AND] comfortable [IMPLY] outstanding [PERIOD]
uptight [AND] bright [AND] stormy [IMPLY] popular [PERIOD]
jittery [IMPLY] versatile [PERIOD]
long [IMPLY] rude [PERIOD]
stormy [AND] dishonest [AND] selfish [IMPLY] good [PERIOD]
diplomatic [AND] tame [AND] bright [IMPLY] nervous [PERIOD]
charming [AND] uptight [AND] rude [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] popular [PERIOD]
popular [IMPLY] fancy [PERIOD]
tame [IMPLY] joyous [PERIOD]
rude [AND] outstanding [IMPLY] stormy [PERIOD]
rude [AND] tame [AND] popular [IMPLY] nervous [PERIOD]
joyous [AND] outstanding [AND] stormy [IMPLY] nervous [PERIOD]
popular [AND] proud [AND] worried [IMPLY] foolish [PERIOD]
worried [IMPLY] jittery [PERIOD]
stormy [IMPLY] popular [PERIOD]
anxious [IMPLY] diplomatic [PERIOD]
rude [IMPLY] mysterious [PERIOD]
jittery [AND] good [IMPLY] mysterious [PERIOD]
versatile [AND] long [AND] tame [IMPLY] selfish [PERIOD]
foolish [AND] tame [AND] enchanting [IMPLY] good [PERIOD]
fancy [AND] disgusted [AND] popular [IMPLY] mysterious [PERIOD]
popular [AND] stormy [IMPLY] versatile [PERIOD]
popular [AND] uptight [IMPLY] joyous [PERIOD]
Query: Alice is selfish [PERIOD]","Proof chain:
   jittery ⇒ versatile
   charming ∧ uptight ∧ rude ⇒ outstanding
   joyous ∧ outstanding ∧ stormy ⇒ nervous
   worried ∧ nervous ∧ foolish ⇒ tame
   versatile ∧ long ∧ tame ⇒ selfish
",1,5
"Facts:  Alice is wandering [PERIOD] Alice is worrisome [PERIOD] Alice is inquisitive [PERIOD] Alice is horrible [PERIOD] Alice is gleaming [PERIOD] Alice is uptight [PERIOD] Alice is good [PERIOD]
Rules:
shy [AND] lonely [AND] mean [IMPLY] worrisome [PERIOD]
weary [AND] gleaming [AND] mean [IMPLY] inquisitive [PERIOD]
horrible [AND] stubborn [IMPLY] gleaming [PERIOD]
weary [AND] pessimistic [IMPLY] attentive [PERIOD]
pessimistic [AND] lonely [IMPLY] aggressive [PERIOD]
attentive [IMPLY] horrible [PERIOD]
good [AND] tense [AND] gleaming [IMPLY] aggressive [PERIOD]
gleaming [IMPLY] aggressive [PERIOD]
worrisome [AND] stubborn [AND] good [IMPLY] horrible [PERIOD]
excited [AND] shy [AND] cruel [IMPLY] calm [PERIOD]
nervous [AND] calm [AND] worrisome [IMPLY] uptight [PERIOD]
mean [AND] excited [IMPLY] attentive [PERIOD]
mean [AND] condemned [IMPLY] attractive [PERIOD]
cruel [AND] good [AND] horrible [IMPLY] weary [PERIOD]
nervous [AND] lonely [IMPLY] disgusted [PERIOD]
wandering [IMPLY] aggressive [PERIOD]
calm [AND] stubborn [IMPLY] cooperative [PERIOD]
mean [AND] condemned [AND] wandering [IMPLY] cruel [PERIOD]
shy [AND] tense [AND] calm [IMPLY] stubborn [PERIOD]
uptight [AND] mean [AND] shy [IMPLY] stubborn [PERIOD]
uptight [AND] stubborn [AND] mean [IMPLY] wandering [PERIOD]
mean [AND] tense [IMPLY] worrisome [PERIOD]
pessimistic [AND] wandering [IMPLY] aggressive [PERIOD]
horrible [AND] nervous [AND] cooperative [IMPLY] fragile [PERIOD]
wandering [AND] mean [AND] lonely [IMPLY] weary [PERIOD]
fragile [IMPLY] excited [PERIOD]
calm [AND] aggressive [AND] horrible [IMPLY] nervous [PERIOD]
gleaming [AND] weary [AND] cooperative [IMPLY] disgusted [PERIOD]
aggressive [IMPLY] wandering [PERIOD]
nervous [IMPLY] gleaming [PERIOD]
gleaming [IMPLY] mean [PERIOD]
stubborn [AND] shy [AND] cruel [IMPLY] disgusted [PERIOD]
lonely [IMPLY] disgusted [PERIOD]
aggressive [IMPLY] uptight [PERIOD]
lonely [IMPLY] wandering [PERIOD]
wandering [IMPLY] condemned [PERIOD]
mean [IMPLY] cooperative [PERIOD]
uptight [AND] attentive [AND] stubborn [IMPLY] disgusted [PERIOD]
shy [IMPLY] pessimistic [PERIOD]
wandering [AND] nervous [IMPLY] horrible [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   gleaming ⇒ mean
   wandering ⇒ condemned
   mean ∧ condemned ∧ wandering ⇒ cruel
   cruel ∧ good ∧ horrible ⇒ weary
   Cannot apply rule “weary ∧ pessimistic ⇒ attentive” because missing: pessimistic.
   gleaming ⇒ mean
   Cannot apply rule “mean ∧ excited ⇒ attentive” because missing: excited.
",0,7
"Facts:  Alice is loving [PERIOD] Alice is joyous [PERIOD] Alice is elegant [PERIOD] Alice is clumsy [PERIOD]
Rules:
ambitious [AND] joyous [IMPLY] fearless [PERIOD]
powerful [AND] light [AND] talented [IMPLY] worrisome [PERIOD]
fragile [AND] light [AND] elegant [IMPLY] talented [PERIOD]
worrisome [IMPLY] glamorous [PERIOD]
cute [AND] joyous [AND] helpful [IMPLY] straightforward [PERIOD]
cute [AND] easy [IMPLY] ugly [PERIOD]
selfish [IMPLY] joyous [PERIOD]
fearless [AND] loving [AND] clumsy [IMPLY] cute [PERIOD]
powerful [IMPLY] talented [PERIOD]
anxious [AND] talented [AND] loving [IMPLY] witty [PERIOD]
glamorous [IMPLY] selfish [PERIOD]
helpful [AND] clumsy [AND] talented [IMPLY] ambitious [PERIOD]
pleasant [IMPLY] easy [PERIOD]
cute [IMPLY] sleepy [PERIOD]
joyous [AND] straightforward [AND] hurt [IMPLY] sleepy [PERIOD]
sleepy [AND] attractive [AND] hurt [IMPLY] pleasant [PERIOD]
attractive [IMPLY] powerful [PERIOD]
joyous [AND] attractive [IMPLY] sleepy [PERIOD]
powerful [AND] hurt [IMPLY] witty [PERIOD]
powerful [AND] ugly [AND] selfish [IMPLY] pleasant [PERIOD]
worrisome [AND] attractive [IMPLY] selfish [PERIOD]
anxious [AND] sleepy [AND] light [IMPLY] ambitious [PERIOD]
attractive [IMPLY] light [PERIOD]
glamorous [IMPLY] loving [PERIOD]
fragile [AND] straightforward [AND] witty [IMPLY] talented [PERIOD]
fragile [IMPLY] anxious [PERIOD]
pleasant [IMPLY] worrisome [PERIOD]
powerful [AND] pleasant [IMPLY] witty [PERIOD]
easy [AND] fearless [AND] clumsy [IMPLY] light [PERIOD]
light [AND] fragile [AND] ambitious [IMPLY] straightforward [PERIOD]
fragile [AND] joyous [IMPLY] worrisome [PERIOD]
talented [AND] clumsy [AND] powerful [IMPLY] selfish [PERIOD]
light [IMPLY] pleasant [PERIOD]
worrisome [IMPLY] elegant [PERIOD]
witty [IMPLY] powerful [PERIOD]
worrisome [AND] fearless [IMPLY] sleepy [PERIOD]
clumsy [IMPLY] attractive [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   clumsy ⇒ attractive
   attractive ⇒ light
   light ⇒ pleasant
   pleasant ⇒ worrisome
   worrisome ⇒ glamorous
",1,5
"Facts:  Alice is zealous [PERIOD]
Rules:
frantic [AND] impartial [AND] ugliest [IMPLY] nervous [PERIOD]
impartial [AND] quaint [AND] confident [IMPLY] ugliest [PERIOD]
zealous [AND] condemned [IMPLY] sincere [PERIOD]
bossy [AND] zealous [AND] ugly [IMPLY] frantic [PERIOD]
bossy [AND] confident [AND] light [IMPLY] impartial [PERIOD]
quaint [IMPLY] zealous [PERIOD]
ugly [AND] zealous [IMPLY] cruel [PERIOD]
light [IMPLY] confident [PERIOD]
quaint [AND] condemned [AND] ugly [IMPLY] nervous [PERIOD]
quaint [AND] sincere [AND] zealous [IMPLY] ugly [PERIOD]
impartial [AND] zealous [AND] nervous [IMPLY] ugliest [PERIOD]
cruel [AND] impartial [AND] quaint [IMPLY] frantic [PERIOD]
cruel [AND] ugliest [IMPLY] sincere [PERIOD]
condemned [AND] frantic [IMPLY] nervous [PERIOD]
light [AND] condemned [AND] sincere [IMPLY] cruel [PERIOD]
zealous [AND] impartial [AND] bossy [IMPLY] frantic [PERIOD]
confident [IMPLY] cruel [PERIOD]
impartial [IMPLY] frantic [PERIOD]
bossy [AND] quaint [AND] ugliest [IMPLY] confident [PERIOD]
nervous [AND] impartial [AND] ugliest [IMPLY] frantic [PERIOD]
zealous [AND] ugliest [AND] nervous [IMPLY] impartial [PERIOD]
nervous [AND] ugly [IMPLY] confident [PERIOD]
cruel [IMPLY] condemned [PERIOD]
cruel [AND] ugliest [IMPLY] ugly [PERIOD]
frantic [IMPLY] ugly [PERIOD]
impartial [AND] zealous [IMPLY] ugly [PERIOD]
zealous [AND] bossy [IMPLY] ugly [PERIOD]
quaint [AND] sincere [AND] light [IMPLY] cruel [PERIOD]
nervous [AND] bossy [IMPLY] zealous [PERIOD]
cruel [AND] frantic [AND] nervous [IMPLY] condemned [PERIOD]
bossy [IMPLY] ugly [PERIOD]
condemned [AND] ugly [AND] sincere [IMPLY] quaint [PERIOD]
nervous [IMPLY] ugly [PERIOD]
ugliest [IMPLY] zealous [PERIOD]
bossy [IMPLY] impartial [PERIOD]
nervous [AND] cruel [AND] ugliest [IMPLY] zealous [PERIOD]
impartial [AND] quaint [IMPLY] zealous [PERIOD]
confident [AND] bossy [AND] sincere [IMPLY] frantic [PERIOD]
bossy [AND] zealous [IMPLY] impartial [PERIOD]
sincere [AND] ugly [IMPLY] cruel [PERIOD]
impartial [AND] light [AND] condemned [IMPLY] sincere [PERIOD]
frantic [AND] confident [IMPLY] zealous [PERIOD]
light [AND] condemned [AND] bossy [IMPLY] confident [PERIOD]
confident [IMPLY] ugliest [PERIOD]
ugly [IMPLY] zealous [PERIOD]
sincere [AND] cruel [IMPLY] ugliest [PERIOD]
zealous [AND] light [AND] quaint [IMPLY] sincere [PERIOD]
cruel [IMPLY] frantic [PERIOD]
frantic [AND] condemned [IMPLY] quaint [PERIOD]
ugly [AND] light [AND] ugliest [IMPLY] bossy [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “bossy ∧ zealous ∧ ugly ⇒ frantic” because missing: bossy, ugly.
   Cannot apply rule “cruel ∧ impartial ∧ quaint ⇒ frantic” because missing: cruel, impartial, quaint.
   Cannot apply rule “zealous ∧ impartial ∧ bossy ⇒ frantic” because missing: impartial, bossy.
   Cannot apply rule “impartial ⇒ frantic” because missing: impartial.
   Cannot apply rule “nervous ∧ impartial ∧ ugliest ⇒ frantic” because missing: nervous, impartial, ugliest.
   Cannot apply rule “confident ∧ bossy ∧ sincere ⇒ frantic” because missing: confident, bossy, sincere.
   Cannot apply rule “cruel ⇒ frantic” because missing: cruel.
",0,7
"Facts:  Alice is polite [PERIOD] Alice is gleaming [PERIOD] Alice is fearless [PERIOD]
Rules:
plain [AND] glamorous [AND] fearless [IMPLY] gleaming [PERIOD]
disgusted [AND] fearless [IMPLY] average [PERIOD]
nervous [AND] disgusted [AND] diplomatic [IMPLY] fearless [PERIOD]
plain [IMPLY] troubled [PERIOD]
amused [IMPLY] fearless [PERIOD]
nervous [AND] disgusted [AND] average [IMPLY] glamorous [PERIOD]
amused [IMPLY] confident [PERIOD]
nervous [AND] mean [IMPLY] disgusted [PERIOD]
diplomatic [IMPLY] confident [PERIOD]
glamorous [AND] diplomatic [AND] disgusted [IMPLY] nervous [PERIOD]
polite [AND] nervous [IMPLY] amused [PERIOD]
diplomatic [AND] amused [IMPLY] mean [PERIOD]
glamorous [AND] gleaming [AND] diplomatic [IMPLY] polite [PERIOD]
plain [AND] glamorous [AND] nervous [IMPLY] disgusted [PERIOD]
fearless [AND] disgusted [IMPLY] diplomatic [PERIOD]
nervous [AND] amused [IMPLY] plain [PERIOD]
average [IMPLY] mean [PERIOD]
fearless [IMPLY] nervous [PERIOD]
nervous [IMPLY] disgusted [PERIOD]
disgusted [AND] average [AND] nervous [IMPLY] plain [PERIOD]
plain [AND] troubled [AND] fearless [IMPLY] mean [PERIOD]
average [IMPLY] gleaming [PERIOD]
glamorous [IMPLY] fearless [PERIOD]
confident [AND] nervous [IMPLY] diplomatic [PERIOD]
plain [IMPLY] glamorous [PERIOD]
diplomatic [IMPLY] fearless [PERIOD]
confident [AND] average [AND] nervous [IMPLY] fearless [PERIOD]
mean [AND] disgusted [IMPLY] gleaming [PERIOD]
glamorous [AND] polite [AND] fearless [IMPLY] disgusted [PERIOD]
polite [AND] fearless [IMPLY] amused [PERIOD]
mean [AND] average [AND] nervous [IMPLY] disgusted [PERIOD]
average [IMPLY] diplomatic [PERIOD]
fearless [AND] plain [AND] gleaming [IMPLY] average [PERIOD]
diplomatic [AND] troubled [AND] average [IMPLY] nervous [PERIOD]
average [AND] troubled [AND] confident [IMPLY] gleaming [PERIOD]
confident [AND] disgusted [IMPLY] nervous [PERIOD]
gleaming [AND] amused [AND] troubled [IMPLY] mean [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   fearless ⇒ nervous
   nervous ⇒ disgusted
   disgusted ∧ fearless ⇒ average
   average ⇒ mean
",1,4
"Facts:  Alice is fancy [PERIOD]
Rules:
unpleasant [AND] cooperative [IMPLY] frail [PERIOD]
unpleasant [AND] frail [IMPLY] fancy [PERIOD]
fancy [IMPLY] tender [PERIOD]
beautiful [IMPLY] fancy [PERIOD]
frail [IMPLY] fancy [PERIOD]
cooperative [AND] tender [IMPLY] attractive [PERIOD]
tender [IMPLY] frail [PERIOD]
attractive [AND] zealous [AND] tender [IMPLY] frail [PERIOD]
zealous [AND] tender [AND] frail [IMPLY] cooperative [PERIOD]
zealous [AND] fancy [AND] cooperative [IMPLY] tender [PERIOD]
zealous [AND] cooperative [AND] beautiful [IMPLY] frail [PERIOD]
beautiful [IMPLY] cooperative [PERIOD]
cooperative [AND] unpleasant [IMPLY] attractive [PERIOD]
fancy [AND] frail [AND] zealous [IMPLY] tender [PERIOD]
cooperative [IMPLY] fancy [PERIOD]
tender [AND] attractive [AND] frail [IMPLY] zealous [PERIOD]
fancy [AND] tender [AND] frail [IMPLY] zealous [PERIOD]
frail [IMPLY] beautiful [PERIOD]
attractive [IMPLY] fancy [PERIOD]
tender [AND] unpleasant [IMPLY] zealous [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   fancy ⇒ tender
   tender ⇒ frail
   frail ⇒ beautiful
",1,3
"Facts:  Alice is frightened [PERIOD] Alice is thoughtless [PERIOD] Alice is outstanding [PERIOD] Alice is dull [PERIOD]
Rules:
weary [AND] tender [IMPLY] dull [PERIOD]
mean [AND] weary [IMPLY] alert [PERIOD]
outstanding [AND] tender [AND] thoughtless [IMPLY] dull [PERIOD]
pleasant [AND] thoughtless [AND] anxious [IMPLY] beautiful [PERIOD]
pleasant [AND] alert [AND] victorious [IMPLY] beautiful [PERIOD]
dull [IMPLY] horrible [PERIOD]
weary [IMPLY] thoughtless [PERIOD]
wandering [AND] thoughtless [AND] dull [IMPLY] tender [PERIOD]
outstanding [IMPLY] victorious [PERIOD]
tender [AND] dull [IMPLY] frightened [PERIOD]
beautiful [AND] weary [AND] mean [IMPLY] frightened [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
quaint [AND] frantic [IMPLY] horrible [PERIOD]
rude [AND] stormy [IMPLY] confused [PERIOD]
thoughtful [AND] stormy [AND] confused [IMPLY] reserved [PERIOD]
careless [IMPLY] thoughtful [PERIOD]
confused [AND] talented [IMPLY] frantic [PERIOD]
quaint [AND] stormy [AND] confused [IMPLY] thoughtful [PERIOD]
confused [AND] quaint [AND] frantic [IMPLY] horrible [PERIOD]
talented [AND] thoughtful [AND] stormy [IMPLY] reserved [PERIOD]
confused [AND] talented [AND] thoughtful [IMPLY] horrible [PERIOD]
talented [AND] horrible [IMPLY] quaint [PERIOD]
alert [AND] horrible [IMPLY] thoughtful [PERIOD]
alert [AND] thoughtful [AND] stormy [IMPLY] quaint [PERIOD]
quaint [IMPLY] careless [PERIOD]
confused [AND] rude [IMPLY] stormy [PERIOD]
confused [AND] alert [IMPLY] careless [PERIOD]
frantic [IMPLY] reserved [PERIOD]
frantic [AND] rude [AND] careless [IMPLY] talented [PERIOD]
thoughtful [IMPLY] quaint [PERIOD]
rude [AND] thoughtful [AND] careless [IMPLY] reserved [PERIOD]
confused [AND] quaint [IMPLY] rude [PERIOD]
confused [AND] stormy [AND] rude [IMPLY] frantic [PERIOD]
confused [AND] horrible [IMPLY] frantic [PERIOD]
horrible [AND] talented [IMPLY] careless [PERIOD]
thoughtful [AND] quaint [IMPLY] alert [PERIOD]
frantic [AND] horrible [AND] alert [IMPLY] talented [PERIOD]
quaint [IMPLY] stormy [PERIOD]
reserved [IMPLY] talented [PERIOD]
reserved [AND] horrible [IMPLY] thoughtful [PERIOD]
reserved [AND] stormy [AND] talented [IMPLY] horrible [PERIOD]
confused [AND] horrible [AND] quaint [IMPLY] talented [PERIOD]
confused [IMPLY] thoughtful [PERIOD]
talented [AND] thoughtful [IMPLY] careless [PERIOD]
confused [AND] careless [IMPLY] horrible [PERIOD]
thoughtful [AND] careless [AND] talented [IMPLY] reserved [PERIOD]
careless [IMPLY] stormy [PERIOD]
rude [AND] thoughtful [IMPLY] talented [PERIOD]
reserved [IMPLY] confused [PERIOD]
reserved [AND] frantic [AND] careless [IMPLY] horrible [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   Cannot apply rule “quaint ⇒ careless” because missing: quaint.
   Cannot apply rule “confused ∧ alert ⇒ careless” because missing: confused, alert.
   Cannot apply rule “horrible ∧ talented ⇒ careless” because missing: horrible, talented.
   Cannot apply rule “talented ∧ thoughtful ⇒ careless” because missing: talented, thoughtful.
",0,4
"Facts:  Alice is loving [PERIOD] Alice is fancy [PERIOD] Alice is gleaming [PERIOD] Alice is diplomatic [PERIOD] Alice is cruel [PERIOD] Alice is fragile [PERIOD] Alice is gifted [PERIOD] Alice is worried [PERIOD] Alice is attractive [PERIOD] Alice is uptight [PERIOD] Alice is cooperative [PERIOD]
Rules:
easy [AND] attractive [IMPLY] fancy [PERIOD]
gifted [AND] uptight [IMPLY] nervous [PERIOD]
cooperative [AND] diplomatic [AND] perfect [IMPLY] loving [PERIOD]
perfect [IMPLY] gifted [PERIOD]
gifted [AND] nervous [AND] cruel [IMPLY] uptight [PERIOD]
uptight [AND] cruel [IMPLY] easy [PERIOD]
gleaming [AND] attractive [IMPLY] uptight [PERIOD]
innocent [IMPLY] nervous [PERIOD]
attractive [AND] uptight [AND] cruel [IMPLY] gleaming [PERIOD]
cruel [AND] fragile [IMPLY] fancy [PERIOD]
thoughtful [AND] cooperative [AND] perfect [IMPLY] fancy [PERIOD]
attractive [AND] loving [IMPLY] worried [PERIOD]
diplomatic [IMPLY] worried [PERIOD]
uptight [AND] easy [IMPLY] fragile [PERIOD]
cooperative [IMPLY] diplomatic [PERIOD]
easy [AND] nervous [IMPLY] innocent [PERIOD]
easy [AND] nervous [IMPLY] uptight [PERIOD]
cruel [AND] fragile [AND] cooperative [IMPLY] innocent [PERIOD]
diplomatic [AND] cruel [AND] uptight [IMPLY] easy [PERIOD]
loving [IMPLY] gifted [PERIOD]
diplomatic [AND] thoughtful [IMPLY] perfect [PERIOD]
attractive [AND] easy [AND] fragile [IMPLY] worried [PERIOD]
cooperative [AND] nervous [AND] diplomatic [IMPLY] worried [PERIOD]
fragile [AND] cooperative [IMPLY] loving [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “diplomatic ∧ thoughtful ⇒ perfect” because missing: thoughtful.
",0,1
"Facts:  Alice is fragile [PERIOD] Alice is witty [PERIOD] Alice is innocent [PERIOD]
Rules:
cooperative [AND] smart [IMPLY] witty [PERIOD]
famous [AND] disobedient [AND] talkative [IMPLY] fearless [PERIOD]
silly [AND] talkative [IMPLY] ugliest [PERIOD]
cruel [AND] talkative [AND] tame [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] stupid [PERIOD]
smart [AND] cruel [IMPLY] talkative [PERIOD]
stupid [AND] innocent [AND] weary [IMPLY] helpless [PERIOD]
talkative [IMPLY] dishonest [PERIOD]
famous [IMPLY] modern [PERIOD]
fragile [IMPLY] weary [PERIOD]
cooperative [AND] beautiful [AND] tame [IMPLY] good [PERIOD]
innocent [AND] stupid [IMPLY] fragile [PERIOD]
silly [AND] tame [AND] beautiful [IMPLY] cruel [PERIOD]
sincere [AND] modern [IMPLY] ugliest [PERIOD]
dishonest [IMPLY] witty [PERIOD]
stupid [AND] witty [AND] cooperative [IMPLY] dishonest [PERIOD]
smart [AND] weary [IMPLY] helpless [PERIOD]
polite [AND] fearless [IMPLY] silly [PERIOD]
fragile [AND] mysterious [AND] weary [IMPLY] witty [PERIOD]
fearless [AND] mysterious [AND] smart [IMPLY] cruel [PERIOD]
modern [AND] tame [AND] witty [IMPLY] helpless [PERIOD]
ugliest [AND] cooperative [IMPLY] cruel [PERIOD]
helpless [IMPLY] talkative [PERIOD]
disobedient [IMPLY] mysterious [PERIOD]
smart [IMPLY] good [PERIOD]
ugliest [AND] cooperative [AND] witty [IMPLY] dishonest [PERIOD]
beautiful [IMPLY] ugliest [PERIOD]
polite [AND] beautiful [IMPLY] fragile [PERIOD]
sincere [AND] fearless [IMPLY] talkative [PERIOD]
sincere [AND] dishonest [IMPLY] innocent [PERIOD]
tame [AND] witty [IMPLY] ugliest [PERIOD]
helpless [IMPLY] ugliest [PERIOD]
weary [AND] cruel [IMPLY] mysterious [PERIOD]
tame [IMPLY] innocent [PERIOD]
beautiful [IMPLY] cruel [PERIOD]
disobedient [IMPLY] famous [PERIOD]
tame [AND] stupid [IMPLY] cooperative [PERIOD]
weary [AND] famous [IMPLY] helpless [PERIOD]
sincere [IMPLY] fearless [PERIOD]
polite [IMPLY] modern [PERIOD]
weary [IMPLY] helpless [PERIOD]
tame [IMPLY] witty [PERIOD]
fearless [AND] talkative [IMPLY] good [PERIOD]
disobedient [AND] innocent [IMPLY] tame [PERIOD]
weary [AND] good [IMPLY] sincere [PERIOD]
fragile [IMPLY] good [PERIOD]
witty [IMPLY] polite [PERIOD]
good [AND] ugliest [AND] famous [IMPLY] tame [PERIOD]
cooperative [AND] witty [IMPLY] famous [PERIOD]
silly [AND] stupid [IMPLY] famous [PERIOD]
disobedient [IMPLY] fearless [PERIOD]
cooperative [AND] stupid [IMPLY] mysterious [PERIOD]
fragile [AND] cooperative [AND] witty [IMPLY] helpless [PERIOD]
dishonest [AND] cruel [IMPLY] weary [PERIOD]
stupid [AND] modern [IMPLY] polite [PERIOD]
talkative [AND] sincere [AND] ugliest [IMPLY] weary [PERIOD]
stupid [AND] modern [IMPLY] good [PERIOD]
good [AND] ugliest [AND] tame [IMPLY] polite [PERIOD]
good [AND] cruel [AND] witty [IMPLY] tame [PERIOD]
polite [IMPLY] ugliest [PERIOD]
innocent [AND] mysterious [IMPLY] polite [PERIOD]
cooperative [AND] famous [IMPLY] mysterious [PERIOD]
stupid [IMPLY] fragile [PERIOD]
innocent [IMPLY] dishonest [PERIOD]
good [AND] polite [AND] beautiful [IMPLY] witty [PERIOD]
disobedient [AND] polite [AND] sincere [IMPLY] good [PERIOD]
sincere [AND] stupid [AND] fragile [IMPLY] modern [PERIOD]
beautiful [AND] good [AND] helpless [IMPLY] fearless [PERIOD]
talkative [AND] fragile [IMPLY] stupid [PERIOD]
helpless [IMPLY] cooperative [PERIOD]
fearless [AND] polite [AND] famous [IMPLY] sincere [PERIOD]
silly [IMPLY] famous [PERIOD]
polite [IMPLY] mysterious [PERIOD]
cooperative [IMPLY] innocent [PERIOD]
sincere [AND] fearless [AND] modern [IMPLY] polite [PERIOD]
fearless [IMPLY] talkative [PERIOD]
fearless [AND] cooperative [IMPLY] innocent [PERIOD]
tame [IMPLY] beautiful [PERIOD]
weary [IMPLY] fragile [PERIOD]
good [IMPLY] disobedient [PERIOD]
disobedient [AND] cruel [AND] good [IMPLY] cooperative [PERIOD]
fearless [AND] smart [IMPLY] ugliest [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   witty ⇒ polite
   fragile ⇒ good
   good ⇒ disobedient
   disobedient ⇒ fearless
   polite ∧ fearless ⇒ silly
",1,5
"Facts:  Alice is careless [PERIOD] Alice is zealous [PERIOD] Alice is enchanting [PERIOD]
Rules:
thoughtful [AND] enchanting [IMPLY] zealous [PERIOD]
zealous [IMPLY] outstanding [PERIOD]
zealous [AND] enchanting [IMPLY] thoughtful [PERIOD]
innocent [AND] zealous [IMPLY] outstanding [PERIOD]
careless [AND] innocent [AND] enchanting [IMPLY] outstanding [PERIOD]
zealous [AND] thoughtful [IMPLY] enchanting [PERIOD]
outstanding [IMPLY] enchanting [PERIOD]
careless [AND] innocent [IMPLY] enchanting [PERIOD]
outstanding [AND] enchanting [IMPLY] innocent [PERIOD]
innocent [AND] enchanting [AND] careless [IMPLY] zealous [PERIOD]
zealous [AND] enchanting [IMPLY] careless [PERIOD]
outstanding [AND] innocent [AND] zealous [IMPLY] enchanting [PERIOD]
innocent [IMPLY] thoughtful [PERIOD]
innocent [IMPLY] careless [PERIOD]
innocent [IMPLY] zealous [PERIOD]
Query: Alice is innocent [PERIOD]","Proof chain:
   zealous ⇒ outstanding
   outstanding ∧ enchanting ⇒ innocent
",1,2
"Facts: 
Rules:
innocent [AND] adorable [IMPLY] calm [PERIOD]
adorable [AND] careless [AND] calm [IMPLY] innocent [PERIOD]
smart [AND] shiny [IMPLY] calm [PERIOD]
innocent [AND] smart [IMPLY] calm [PERIOD]
adorable [IMPLY] innocent [PERIOD]
shiny [IMPLY] intellectual [PERIOD]
smart [AND] intellectual [AND] shiny [IMPLY] adorable [PERIOD]
adorable [IMPLY] shiny [PERIOD]
calm [IMPLY] smart [PERIOD]
popular [AND] smart [AND] intellectual [IMPLY] careless [PERIOD]
adorable [IMPLY] popular [PERIOD]
innocent [AND] calm [AND] popular [IMPLY] smart [PERIOD]
careless [IMPLY] smart [PERIOD]
careless [AND] innocent [IMPLY] calm [PERIOD]
adorable [AND] smart [AND] popular [IMPLY] careless [PERIOD]
careless [AND] innocent [AND] adorable [IMPLY] smart [PERIOD]
smart [IMPLY] intellectual [PERIOD]
innocent [AND] popular [IMPLY] smart [PERIOD]
intellectual [AND] adorable [AND] careless [IMPLY] innocent [PERIOD]
intellectual [AND] careless [IMPLY] adorable [PERIOD]
calm [AND] popular [AND] intellectual [IMPLY] adorable [PERIOD]
innocent [AND] calm [IMPLY] smart [PERIOD]
popular [AND] careless [IMPLY] intellectual [PERIOD]
shiny [AND] popular [AND] adorable [IMPLY] innocent [PERIOD]
popular [AND] careless [AND] intellectual [IMPLY] adorable [PERIOD]
popular [IMPLY] calm [PERIOD]
smart [IMPLY] calm [PERIOD]
shiny [AND] smart [AND] adorable [IMPLY] calm [PERIOD]
intellectual [IMPLY] careless [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   Cannot apply rule “shiny ⇒ intellectual” because missing: shiny.
   Cannot apply rule “smart ⇒ intellectual” because missing: smart.
   Cannot apply rule “popular ∧ careless ⇒ intellectual” because missing: popular, careless.
",0,3
"Facts: 
Rules:
aggressive [AND] inquisitive [IMPLY] victorious [PERIOD]
inexpensive [IMPLY] bright [PERIOD]
victorious [AND] sincere [IMPLY] tame [PERIOD]
ambitious [AND] victorious [IMPLY] bright [PERIOD]
fearless [AND] aggressive [AND] tame [IMPLY] sincere [PERIOD]
bright [IMPLY] inexpensive [PERIOD]
ambitious [AND] fearless [IMPLY] victorious [PERIOD]
bright [AND] victorious [AND] inexpensive [IMPLY] ambitious [PERIOD]
victorious [AND] ambitious [IMPLY] tame [PERIOD]
tame [AND] sincere [IMPLY] victorious [PERIOD]
tame [AND] inquisitive [IMPLY] inexpensive [PERIOD]
inquisitive [IMPLY] tame [PERIOD]
tame [IMPLY] fearless [PERIOD]
inquisitive [IMPLY] bright [PERIOD]
bright [AND] sincere [AND] aggressive [IMPLY] inexpensive [PERIOD]
ambitious [IMPLY] tame [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   Cannot apply rule “bright ⇒ inexpensive” because missing: bright.
   Cannot apply rule “tame ∧ inquisitive ⇒ inexpensive” because missing: tame, inquisitive.
   Cannot apply rule “bright ∧ sincere ∧ aggressive ⇒ inexpensive” because missing: bright, sincere, aggressive.
",0,3
"Facts:  Alice is plain [PERIOD] Alice is ambitious [PERIOD] Alice is anxious [PERIOD] Alice is outrageous [PERIOD] Alice is famous [PERIOD] Alice is tired [PERIOD]
Rules:
fine [AND] anxious [IMPLY] alert [PERIOD]
famous [IMPLY] tired [PERIOD]
ambitious [AND] outrageous [AND] anxious [IMPLY] fine [PERIOD]
messy [AND] hilarious [IMPLY] outrageous [PERIOD]
ambitious [AND] anxious [IMPLY] outrageous [PERIOD]
excited [AND] alert [IMPLY] mean [PERIOD]
famous [AND] fine [IMPLY] alert [PERIOD]
famous [IMPLY] careless [PERIOD]
cooperative [AND] ambitious [AND] fine [IMPLY] homely [PERIOD]
careless [IMPLY] tame [PERIOD]
tame [IMPLY] homely [PERIOD]
excited [AND] tame [AND] outrageous [IMPLY] hilarious [PERIOD]
Query: Alice is outrageous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is intellectual [PERIOD]
Rules:
tender [AND] hurt [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] powerful [PERIOD]
tender [AND] hurt [IMPLY] glamorous [PERIOD]
aggressive [AND] glamorous [IMPLY] hurt [PERIOD]
hurt [AND] foolish [IMPLY] tender [PERIOD]
foolish [AND] hurt [IMPLY] loving [PERIOD]
aggressive [AND] loving [IMPLY] intellectual [PERIOD]
loving [AND] aggressive [IMPLY] tender [PERIOD]
aggressive [IMPLY] intellectual [PERIOD]
aggressive [AND] tender [IMPLY] intellectual [PERIOD]
foolish [AND] tender [IMPLY] loving [PERIOD]
hurt [IMPLY] intellectual [PERIOD]
glamorous [AND] hurt [IMPLY] tender [PERIOD]
intellectual [AND] loving [AND] tender [IMPLY] glamorous [PERIOD]
powerful [AND] intellectual [AND] loving [IMPLY] tender [PERIOD]
aggressive [AND] powerful [AND] loving [IMPLY] foolish [PERIOD]
hurt [AND] powerful [IMPLY] glamorous [PERIOD]
hurt [AND] loving [IMPLY] intellectual [PERIOD]
hurt [AND] aggressive [AND] powerful [IMPLY] foolish [PERIOD]
foolish [AND] aggressive [AND] loving [IMPLY] intellectual [PERIOD]
tender [AND] foolish [AND] aggressive [IMPLY] hurt [PERIOD]
intellectual [AND] loving [IMPLY] foolish [PERIOD]
intellectual [IMPLY] foolish [PERIOD]
intellectual [AND] powerful [IMPLY] foolish [PERIOD]
glamorous [AND] loving [AND] intellectual [IMPLY] aggressive [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   intellectual ⇒ foolish
   Cannot apply rule “hurt ∧ foolish ⇒ tender” because missing: hurt.
   Cannot apply rule “loving ∧ aggressive ⇒ tender” because missing: loving, aggressive.
   Cannot apply rule “glamorous ∧ hurt ⇒ tender” because missing: glamorous, hurt.
   Cannot apply rule “powerful ∧ intellectual ∧ loving ⇒ tender” because missing: powerful, loving.
",0,5
"Facts:  Alice is disobedient [PERIOD]
Rules:
busy [AND] condemned [IMPLY] disobedient [PERIOD]
disobedient [AND] uptight [IMPLY] condemned [PERIOD]
vivacious [IMPLY] condemned [PERIOD]
condemned [AND] uptight [AND] elegant [IMPLY] vivacious [PERIOD]
tame [IMPLY] vivacious [PERIOD]
tame [IMPLY] elegant [PERIOD]
uptight [AND] different [IMPLY] tame [PERIOD]
condemned [IMPLY] uptight [PERIOD]
condemned [AND] elegant [IMPLY] tame [PERIOD]
busy [AND] diplomatic [AND] disobedient [IMPLY] uptight [PERIOD]
tame [AND] disobedient [AND] diplomatic [IMPLY] adorable [PERIOD]
adorable [AND] condemned [IMPLY] elegant [PERIOD]
diplomatic [AND] disobedient [IMPLY] uptight [PERIOD]
vivacious [AND] sincere [AND] adorable [IMPLY] busy [PERIOD]
diplomatic [AND] sincere [IMPLY] tame [PERIOD]
disobedient [AND] adorable [IMPLY] vivacious [PERIOD]
busy [IMPLY] uptight [PERIOD]
busy [AND] elegant [AND] diplomatic [IMPLY] uptight [PERIOD]
diplomatic [IMPLY] uptight [PERIOD]
diplomatic [AND] tame [IMPLY] disobedient [PERIOD]
vivacious [AND] tame [AND] uptight [IMPLY] sincere [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   Cannot apply rule “condemned ⇒ uptight” because missing: condemned.
   Cannot apply rule “busy ∧ diplomatic ∧ disobedient ⇒ uptight” because missing: busy, diplomatic.
   Cannot apply rule “diplomatic ∧ disobedient ⇒ uptight” because missing: diplomatic.
   Cannot apply rule “busy ⇒ uptight” because missing: busy.
   Cannot apply rule “busy ∧ elegant ∧ diplomatic ⇒ uptight” because missing: busy, elegant, diplomatic.
   Cannot apply rule “diplomatic ⇒ uptight” because missing: diplomatic.
",0,6
"Facts: 
Rules:
aggressive [AND] confident [AND] worried [IMPLY] easy [PERIOD]
confident [AND] thoughtful [AND] aggressive [IMPLY] easy [PERIOD]
thoughtful [AND] easy [AND] tender [IMPLY] smart [PERIOD]
worried [AND] aggressive [AND] thoughtful [IMPLY] ugly [PERIOD]
tender [AND] worried [AND] ugly [IMPLY] thoughtful [PERIOD]
aggressive [AND] confident [AND] worried [IMPLY] tender [PERIOD]
worried [AND] confident [IMPLY] easy [PERIOD]
smart [AND] impartial [AND] aggressive [IMPLY] tender [PERIOD]
smart [AND] ugly [IMPLY] thoughtful [PERIOD]
tender [AND] confident [IMPLY] impartial [PERIOD]
aggressive [IMPLY] easy [PERIOD]
easy [AND] confident [AND] impartial [IMPLY] smart [PERIOD]
impartial [AND] aggressive [AND] worried [IMPLY] confident [PERIOD]
aggressive [AND] thoughtful [IMPLY] tender [PERIOD]
smart [AND] ugly [IMPLY] worried [PERIOD]
smart [AND] impartial [AND] aggressive [IMPLY] thoughtful [PERIOD]
smart [AND] easy [AND] tender [IMPLY] confident [PERIOD]
impartial [IMPLY] smart [PERIOD]
tender [IMPLY] smart [PERIOD]
smart [AND] aggressive [IMPLY] easy [PERIOD]
impartial [AND] thoughtful [AND] smart [IMPLY] confident [PERIOD]
ugly [AND] confident [IMPLY] worried [PERIOD]
easy [AND] smart [AND] worried [IMPLY] confident [PERIOD]
smart [IMPLY] worried [PERIOD]
worried [IMPLY] tender [PERIOD]
confident [AND] thoughtful [IMPLY] aggressive [PERIOD]
confident [AND] easy [IMPLY] thoughtful [PERIOD]
ugly [AND] easy [AND] tender [IMPLY] thoughtful [PERIOD]
aggressive [AND] easy [AND] impartial [IMPLY] worried [PERIOD]
worried [AND] aggressive [AND] ugly [IMPLY] impartial [PERIOD]
aggressive [AND] worried [AND] easy [IMPLY] confident [PERIOD]
Query: Alice is confident [PERIOD]","Proof chain:
   Cannot apply rule “impartial ∧ aggressive ∧ worried ⇒ confident” because missing: impartial, aggressive, worried.
   Cannot apply rule “smart ∧ easy ∧ tender ⇒ confident” because missing: smart, easy, tender.
   Cannot apply rule “impartial ∧ thoughtful ∧ smart ⇒ confident” because missing: impartial, thoughtful, smart.
   Cannot apply rule “easy ∧ smart ∧ worried ⇒ confident” because missing: easy, smart, worried.
   Cannot apply rule “aggressive ∧ worried ∧ easy ⇒ confident” because missing: aggressive, worried, easy.
",0,5
"Facts:  Alice is dull [PERIOD] Alice is long [PERIOD] Alice is comfortable [PERIOD]
Rules:
enchanting [AND] comfortable [AND] ambitious [IMPLY] smart [PERIOD]
bad-tempered [AND] nervous [AND] dishonest [IMPLY] long [PERIOD]
friendly [AND] nervous [IMPLY] attentive [PERIOD]
selfish [IMPLY] fearless [PERIOD]
sleepy [IMPLY] hilarious [PERIOD]
embarrassed [IMPLY] dishonest [PERIOD]
dishonest [IMPLY] bad-tempered [PERIOD]
friendly [IMPLY] embarrassed [PERIOD]
enchanting [AND] nervous [IMPLY] dull [PERIOD]
disobedient [IMPLY] sleepy [PERIOD]
modern [AND] fearless [AND] sleepy [IMPLY] dull [PERIOD]
bad-tempered [IMPLY] fearless [PERIOD]
comfortable [AND] smart [AND] attentive [IMPLY] broad-minded [PERIOD]
comfortable [IMPLY] attentive [PERIOD]
attentive [AND] dishonest [IMPLY] embarrassed [PERIOD]
embarrassed [AND] broad-minded [IMPLY] hilarious [PERIOD]
smart [IMPLY] enchanting [PERIOD]
disobedient [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] comfortable [PERIOD]
enchanting [AND] attentive [AND] comfortable [IMPLY] modern [PERIOD]
dull [AND] nervous [AND] embarrassed [IMPLY] modern [PERIOD]
enchanting [AND] fearless [AND] modern [IMPLY] selfish [PERIOD]
dull [AND] long [AND] embarrassed [IMPLY] bad-tempered [PERIOD]
broad-minded [AND] friendly [IMPLY] smart [PERIOD]
broad-minded [IMPLY] nervous [PERIOD]
broad-minded [AND] smart [IMPLY] hilarious [PERIOD]
ambitious [AND] selfish [IMPLY] dishonest [PERIOD]
fancy [AND] attentive [IMPLY] embarrassed [PERIOD]
bad-tempered [IMPLY] attentive [PERIOD]
fancy [AND] disobedient [IMPLY] ambitious [PERIOD]
enchanting [AND] fearless [AND] long [IMPLY] smart [PERIOD]
dishonest [AND] selfish [AND] nervous [IMPLY] dull [PERIOD]
fearless [IMPLY] sleepy [PERIOD]
hilarious [IMPLY] sleepy [PERIOD]
sleepy [AND] ambitious [AND] disobedient [IMPLY] fearless [PERIOD]
comfortable [AND] ambitious [AND] hilarious [IMPLY] dull [PERIOD]
fancy [IMPLY] friendly [PERIOD]
bad-tempered [AND] broad-minded [IMPLY] comfortable [PERIOD]
attentive [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] long [PERIOD]
enchanting [AND] bad-tempered [IMPLY] dull [PERIOD]
hilarious [AND] dull [AND] comfortable [IMPLY] fancy [PERIOD]
nervous [AND] enchanting [AND] smart [IMPLY] sleepy [PERIOD]
fancy [AND] long [AND] hilarious [IMPLY] attentive [PERIOD]
smart [IMPLY] sleepy [PERIOD]
dull [IMPLY] modern [PERIOD]
embarrassed [AND] smart [AND] broad-minded [IMPLY] friendly [PERIOD]
attentive [AND] disobedient [IMPLY] dishonest [PERIOD]
enchanting [IMPLY] broad-minded [PERIOD]
nervous [AND] hilarious [AND] broad-minded [IMPLY] friendly [PERIOD]
enchanting [IMPLY] sleepy [PERIOD]
dishonest [IMPLY] long [PERIOD]
fearless [AND] modern [IMPLY] broad-minded [PERIOD]
enchanting [AND] ambitious [AND] attentive [IMPLY] disobedient [PERIOD]
smart [AND] sleepy [IMPLY] selfish [PERIOD]
sleepy [IMPLY] embarrassed [PERIOD]
disobedient [AND] enchanting [IMPLY] fancy [PERIOD]
friendly [AND] embarrassed [IMPLY] enchanting [PERIOD]
fearless [AND] ambitious [IMPLY] bad-tempered [PERIOD]
attentive [AND] fancy [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] bad-tempered [PERIOD]
enchanting [IMPLY] ambitious [PERIOD]
enchanting [AND] embarrassed [AND] dishonest [IMPLY] long [PERIOD]
hilarious [IMPLY] ambitious [PERIOD]
hilarious [AND] long [IMPLY] broad-minded [PERIOD]
selfish [IMPLY] fancy [PERIOD]
fancy [IMPLY] bad-tempered [PERIOD]
dull [AND] modern [AND] dishonest [IMPLY] hilarious [PERIOD]
enchanting [IMPLY] modern [PERIOD]
selfish [IMPLY] ambitious [PERIOD]
dishonest [IMPLY] embarrassed [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   Cannot apply rule “friendly ⇒ embarrassed” because missing: friendly.
   comfortable ⇒ attentive
   Cannot apply rule “attentive ∧ dishonest ⇒ embarrassed” because missing: dishonest.
   comfortable ⇒ attentive
   Cannot apply rule “fancy ∧ attentive ⇒ embarrassed” because missing: fancy.
   Cannot apply rule “sleepy ⇒ embarrassed” because missing: sleepy.
   Cannot apply rule “dishonest ⇒ embarrassed” because missing: dishonest.
",0,7
"Facts:  Alice is frightened [PERIOD] Alice is lonely [PERIOD] Alice is stormy [PERIOD] Alice is weary [PERIOD] Alice is witty [PERIOD] Alice is easy [PERIOD]
Rules:
easy [IMPLY] precious [PERIOD]
selfish [AND] witty [AND] tender [IMPLY] horrible [PERIOD]
weary [AND] serious [AND] outrageous [IMPLY] tender [PERIOD]
horrible [AND] polite [AND] outrageous [IMPLY] tender [PERIOD]
ugly [IMPLY] frightened [PERIOD]
horrible [IMPLY] grumpy [PERIOD]
condemned [AND] tender [AND] perfect [IMPLY] frightened [PERIOD]
witty [IMPLY] modern [PERIOD]
curious [AND] intellectual [AND] vivacious [IMPLY] combative [PERIOD]
confident [IMPLY] precious [PERIOD]
adorable [IMPLY] serious [PERIOD]
easy [AND] modern [IMPLY] selfish [PERIOD]
adorable [AND] condemned [IMPLY] combative [PERIOD]
lonely [AND] cute [AND] curious [IMPLY] adorable [PERIOD]
ugly [AND] modern [IMPLY] stormy [PERIOD]
stormy [AND] frightened [AND] curious [IMPLY] lonely [PERIOD]
outrageous [IMPLY] horrible [PERIOD]
frightened [AND] tender [IMPLY] witty [PERIOD]
condemned [IMPLY] weary [PERIOD]
tender [IMPLY] polite [PERIOD]
polite [IMPLY] curious [PERIOD]
frightened [AND] easy [IMPLY] perfect [PERIOD]
selfish [AND] modern [IMPLY] polite [PERIOD]
serious [IMPLY] adorable [PERIOD]
easy [AND] tender [IMPLY] polite [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   Cannot apply rule “weary ∧ serious ∧ outrageous ⇒ tender” because missing: serious, outrageous.
   witty ⇒ modern
   easy ∧ modern ⇒ selfish
   witty ⇒ modern
   selfish ∧ modern ⇒ polite
   Cannot apply rule “horrible ∧ polite ∧ outrageous ⇒ tender” because missing: horrible, outrageous.
",0,6
"Facts:  Alice is tidy [PERIOD] Alice is condemned [PERIOD] Alice is precious [PERIOD]
Rules:
curious [IMPLY] condemned [PERIOD]
frantic [AND] quaint [AND] confident [IMPLY] frail [PERIOD]
quaint [AND] victorious [AND] frail [IMPLY] nervous [PERIOD]
curious [AND] pleasant [IMPLY] condemned [PERIOD]
modern [AND] pleasant [AND] stormy [IMPLY] beautiful [PERIOD]
hurt [IMPLY] tidy [PERIOD]
condemned [AND] hilarious [AND] hurt [IMPLY] confident [PERIOD]
glamorous [AND] curious [IMPLY] wandering [PERIOD]
stormy [IMPLY] precious [PERIOD]
modern [AND] nervous [AND] tidy [IMPLY] cute [PERIOD]
ugly [IMPLY] crowded [PERIOD]
tidy [AND] precious [AND] sleepy [IMPLY] condemned [PERIOD]
victorious [AND] cute [AND] sleepy [IMPLY] crowded [PERIOD]
tidy [IMPLY] nervous [PERIOD]
worried [AND] precious [IMPLY] sleepy [PERIOD]
crowded [AND] confident [AND] quaint [IMPLY] tidy [PERIOD]
spotless [AND] frantic [AND] nervous [IMPLY] worried [PERIOD]
nervous [AND] stormy [AND] precious [IMPLY] ugly [PERIOD]
silly [AND] confident [AND] cute [IMPLY] frail [PERIOD]
versatile [IMPLY] confident [PERIOD]
frail [AND] crowded [AND] silly [IMPLY] curious [PERIOD]
frantic [AND] pleasant [IMPLY] spotless [PERIOD]
outrageous [AND] stormy [AND] worried [IMPLY] condemned [PERIOD]
quaint [AND] beautiful [AND] confident [IMPLY] polite [PERIOD]
curious [AND] worried [AND] sleepy [IMPLY] frail [PERIOD]
pleasant [AND] frantic [IMPLY] hurt [PERIOD]
broad-minded [AND] glamorous [IMPLY] curious [PERIOD]
versatile [AND] condemned [AND] hurt [IMPLY] glamorous [PERIOD]
spotless [AND] polite [IMPLY] worried [PERIOD]
victorious [IMPLY] quaint [PERIOD]
confident [AND] polite [AND] hilarious [IMPLY] cute [PERIOD]
frantic [AND] crowded [AND] curious [IMPLY] worried [PERIOD]
wandering [IMPLY] crowded [PERIOD]
frail [AND] hilarious [IMPLY] condemned [PERIOD]
frail [AND] confident [IMPLY] victorious [PERIOD]
condemned [IMPLY] nervous [PERIOD]
silly [AND] tidy [IMPLY] confident [PERIOD]
outrageous [IMPLY] ugly [PERIOD]
frail [IMPLY] spotless [PERIOD]
beautiful [AND] frantic [AND] polite [IMPLY] wandering [PERIOD]
silly [IMPLY] worried [PERIOD]
sleepy [AND] ugly [AND] curious [IMPLY] beautiful [PERIOD]
cute [IMPLY] polite [PERIOD]
outrageous [AND] spotless [AND] wandering [IMPLY] frantic [PERIOD]
worried [IMPLY] glamorous [PERIOD]
condemned [AND] hilarious [IMPLY] cute [PERIOD]
glamorous [AND] outrageous [AND] condemned [IMPLY] precious [PERIOD]
modern [AND] victorious [AND] tidy [IMPLY] broad-minded [PERIOD]
nervous [AND] worried [IMPLY] outrageous [PERIOD]
hilarious [AND] hurt [AND] cute [IMPLY] confident [PERIOD]
beautiful [AND] curious [IMPLY] pleasant [PERIOD]
modern [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] quaint [PERIOD]
pleasant [AND] modern [AND] curious [IMPLY] sleepy [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   No rule concludes “silly.”
",0,1
"Facts:  Alice is fine [PERIOD]
Rules:
different [IMPLY] dull [PERIOD]
popular [AND] fine [IMPLY] messy [PERIOD]
popular [IMPLY] disobedient [PERIOD]
disobedient [AND] different [IMPLY] popular [PERIOD]
messy [IMPLY] proud [PERIOD]
jittery [IMPLY] dull [PERIOD]
fine [IMPLY] popular [PERIOD]
different [AND] jittery [IMPLY] disobedient [PERIOD]
messy [AND] different [AND] jittery [IMPLY] fine [PERIOD]
fine [AND] disobedient [AND] dull [IMPLY] popular [PERIOD]
jittery [IMPLY] lucky [PERIOD]
jittery [IMPLY] disobedient [PERIOD]
popular [IMPLY] different [PERIOD]
popular [IMPLY] messy [PERIOD]
dull [AND] different [AND] popular [IMPLY] messy [PERIOD]
messy [AND] dull [IMPLY] jittery [PERIOD]
fine [IMPLY] proud [PERIOD]
fine [AND] proud [IMPLY] messy [PERIOD]
Query: Alice is dull [PERIOD]","Proof chain:
   fine ⇒ popular
   popular ⇒ different
   different ⇒ dull
",1,3
"Facts:  Alice is inquisitive [PERIOD] Alice is glamorous [PERIOD] Alice is busy [PERIOD] Alice is shy [PERIOD] Alice is famous [PERIOD]
Rules:
elated [AND] stupid [AND] attentive [IMPLY] bored [PERIOD]
inquisitive [AND] elated [AND] worried [IMPLY] shy [PERIOD]
inquisitive [AND] attentive [IMPLY] confident [PERIOD]
tense [IMPLY] elated [PERIOD]
fearless [IMPLY] attentive [PERIOD]
joyous [AND] confused [IMPLY] aggressive [PERIOD]
famous [AND] strange [IMPLY] inquisitive [PERIOD]
strange [AND] elated [IMPLY] gorgeous [PERIOD]
worried [IMPLY] stupid [PERIOD]
confused [AND] versatile [AND] glamorous [IMPLY] shiny [PERIOD]
attentive [AND] gorgeous [IMPLY] famous [PERIOD]
joyous [AND] bored [AND] tense [IMPLY] confused [PERIOD]
uptight [IMPLY] tense [PERIOD]
gorgeous [IMPLY] fearless [PERIOD]
bored [IMPLY] joyous [PERIOD]
glamorous [IMPLY] stupid [PERIOD]
aggressive [AND] different [IMPLY] bored [PERIOD]
shiny [IMPLY] stupid [PERIOD]
aggressive [AND] glamorous [AND] versatile [IMPLY] bored [PERIOD]
glamorous [IMPLY] different [PERIOD]
tense [AND] aggressive [IMPLY] busy [PERIOD]
gorgeous [IMPLY] joyous [PERIOD]
uptight [AND] confident [IMPLY] worried [PERIOD]
inquisitive [IMPLY] confident [PERIOD]
inquisitive [AND] gorgeous [AND] stupid [IMPLY] versatile [PERIOD]
aggressive [AND] shy [AND] shiny [IMPLY] different [PERIOD]
versatile [AND] strange [AND] glamorous [IMPLY] busy [PERIOD]
bored [AND] fearless [IMPLY] elated [PERIOD]
attentive [IMPLY] disgusted [PERIOD]
attentive [AND] glamorous [AND] aggressive [IMPLY] busy [PERIOD]
stupid [IMPLY] glamorous [PERIOD]
disgusted [AND] fearless [IMPLY] inquisitive [PERIOD]
stupid [IMPLY] different [PERIOD]
aggressive [IMPLY] joyous [PERIOD]
tense [AND] elated [IMPLY] versatile [PERIOD]
bored [AND] glamorous [IMPLY] famous [PERIOD]
versatile [AND] strange [AND] joyous [IMPLY] shiny [PERIOD]
different [AND] glamorous [IMPLY] versatile [PERIOD]
stupid [IMPLY] bored [PERIOD]
bored [AND] famous [IMPLY] gorgeous [PERIOD]
stupid [AND] gorgeous [IMPLY] confused [PERIOD]
versatile [IMPLY] shiny [PERIOD]
shy [IMPLY] stupid [PERIOD]
uptight [AND] shy [AND] bored [IMPLY] famous [PERIOD]
inquisitive [AND] strange [IMPLY] uptight [PERIOD]
confused [AND] bored [IMPLY] attentive [PERIOD]
famous [IMPLY] uptight [PERIOD]
joyous [AND] disgusted [AND] confident [IMPLY] shy [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   famous ⇒ uptight
   uptight ⇒ tense
",1,2
"Facts:  Alice is helpful [PERIOD] Alice is ambitious [PERIOD] Alice is homely [PERIOD] Alice is nervous [PERIOD] Alice is loving [PERIOD] Alice is combative [PERIOD] Alice is weary [PERIOD] Alice is busy [PERIOD] Alice is tidy [PERIOD] Alice is spotless [PERIOD] Alice is thoughtful [PERIOD] Alice is straightforward [PERIOD] Alice is precious [PERIOD] Alice is calm [PERIOD] Alice is condemned [PERIOD] Alice is ugliest [PERIOD] Alice is worrisome [PERIOD]
Rules:
long [IMPLY] enchanting [PERIOD]
weary [AND] average [AND] straightforward [IMPLY] excited [PERIOD]
enchanting [IMPLY] long [PERIOD]
nervous [AND] amused [IMPLY] enchanting [PERIOD]
ugliest [AND] ambitious [IMPLY] loving [PERIOD]
worrisome [AND] tired [AND] spotless [IMPLY] smart [PERIOD]
sleepy [AND] ambitious [AND] wrong [IMPLY] excited [PERIOD]
nervous [AND] calm [IMPLY] worrisome [PERIOD]
excited [IMPLY] helpful [PERIOD]
wrong [IMPLY] long [PERIOD]
average [AND] amused [IMPLY] combative [PERIOD]
wrong [IMPLY] smart [PERIOD]
thoughtful [AND] worrisome [IMPLY] ambitious [PERIOD]
condemned [AND] enchanting [IMPLY] blushing [PERIOD]
smart [IMPLY] ugliest [PERIOD]
precious [IMPLY] worrisome [PERIOD]
tired [AND] wrong [AND] blushing [IMPLY] straightforward [PERIOD]
spotless [IMPLY] busy [PERIOD]
calm [AND] helpful [IMPLY] sleepy [PERIOD]
helpful [IMPLY] ambitious [PERIOD]
blushing [IMPLY] wrong [PERIOD]
wrong [AND] worrisome [AND] enchanting [IMPLY] precious [PERIOD]
thoughtful [AND] intellectual [IMPLY] precious [PERIOD]
homely [IMPLY] tired [PERIOD]
tidy [AND] condemned [IMPLY] loving [PERIOD]
condemned [AND] straightforward [IMPLY] precious [PERIOD]
tired [AND] thoughtful [IMPLY] calm [PERIOD]
nervous [AND] sleepy [AND] ugliest [IMPLY] long [PERIOD]
tidy [AND] long [IMPLY] loving [PERIOD]
tired [AND] excited [IMPLY] helpful [PERIOD]
ugliest [IMPLY] calm [PERIOD]
tidy [AND] ambitious [IMPLY] straightforward [PERIOD]
condemned [AND] sleepy [AND] talented [IMPLY] amused [PERIOD]
sleepy [AND] wrong [IMPLY] weary [PERIOD]
weary [AND] long [AND] wrong [IMPLY] sleepy [PERIOD]
average [IMPLY] long [PERIOD]
ugliest [AND] straightforward [AND] calm [IMPLY] enchanting [PERIOD]
talented [IMPLY] worrisome [PERIOD]
busy [AND] talented [IMPLY] calm [PERIOD]
worrisome [IMPLY] ambitious [PERIOD]
powerful [IMPLY] smart [PERIOD]
condemned [AND] tired [AND] helpful [IMPLY] homely [PERIOD]
amused [AND] weary [IMPLY] blushing [PERIOD]
blushing [IMPLY] smart [PERIOD]
spotless [AND] calm [AND] ugliest [IMPLY] busy [PERIOD]
loving [AND] homely [AND] tidy [IMPLY] excited [PERIOD]
weary [AND] nervous [IMPLY] smart [PERIOD]
busy [AND] worrisome [AND] spotless [IMPLY] powerful [PERIOD]
amused [AND] ambitious [IMPLY] weary [PERIOD]
sleepy [AND] spotless [IMPLY] worrisome [PERIOD]
amused [AND] loving [AND] tidy [IMPLY] straightforward [PERIOD]
worrisome [AND] thoughtful [AND] blushing [IMPLY] powerful [PERIOD]
average [AND] ambitious [AND] long [IMPLY] amused [PERIOD]
combative [IMPLY] busy [PERIOD]
average [IMPLY] amused [PERIOD]
weary [AND] nervous [AND] intellectual [IMPLY] helpful [PERIOD]
smart [AND] helpful [AND] ugliest [IMPLY] nervous [PERIOD]
ugliest [IMPLY] condemned [PERIOD]
smart [IMPLY] spotless [PERIOD]
ambitious [AND] weary [IMPLY] worrisome [PERIOD]
helpful [AND] precious [IMPLY] straightforward [PERIOD]
long [AND] thoughtful [AND] loving [IMPLY] powerful [PERIOD]
talented [AND] amused [AND] ugliest [IMPLY] tired [PERIOD]
sleepy [IMPLY] condemned [PERIOD]
ugliest [AND] nervous [IMPLY] condemned [PERIOD]
long [AND] calm [AND] worrisome [IMPLY] straightforward [PERIOD]
blushing [IMPLY] tidy [PERIOD]
ugliest [AND] smart [IMPLY] busy [PERIOD]
sleepy [AND] ambitious [AND] average [IMPLY] talented [PERIOD]
nervous [AND] condemned [AND] combative [IMPLY] thoughtful [PERIOD]
intellectual [AND] precious [IMPLY] wrong [PERIOD]
nervous [IMPLY] talented [PERIOD]
talented [AND] excited [IMPLY] spotless [PERIOD]
wrong [AND] long [AND] nervous [IMPLY] ambitious [PERIOD]
blushing [IMPLY] combative [PERIOD]
average [IMPLY] blushing [PERIOD]
tired [AND] intellectual [AND] wrong [IMPLY] homely [PERIOD]
calm [AND] amused [AND] talented [IMPLY] worrisome [PERIOD]
amused [IMPLY] blushing [PERIOD]
enchanting [AND] excited [IMPLY] weary [PERIOD]
straightforward [AND] loving [IMPLY] ambitious [PERIOD]
weary [AND] ugliest [IMPLY] sleepy [PERIOD]
enchanting [IMPLY] nervous [PERIOD]
wrong [IMPLY] combative [PERIOD]
powerful [IMPLY] straightforward [PERIOD]
amused [AND] nervous [IMPLY] tired [PERIOD]
calm [AND] worrisome [AND] wrong [IMPLY] precious [PERIOD]
average [AND] combative [AND] thoughtful [IMPLY] loving [PERIOD]
weary [AND] enchanting [IMPLY] ugliest [PERIOD]
ugliest [AND] busy [AND] blushing [IMPLY] excited [PERIOD]
precious [AND] tired [AND] powerful [IMPLY] wrong [PERIOD]
excited [AND] tired [AND] smart [IMPLY] enchanting [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   homely ⇒ tired
   busy ∧ worrisome ∧ spotless ⇒ powerful
   precious ∧ tired ∧ powerful ⇒ wrong
",1,3
"Facts:  Alice is grumpy [PERIOD] Alice is pleasant [PERIOD] Alice is diplomatic [PERIOD]
Rules:
curious [AND] perfect [AND] diplomatic [IMPLY] pleasant [PERIOD]
helpful [AND] perfect [IMPLY] diplomatic [PERIOD]
loving [AND] diplomatic [IMPLY] perfect [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “loving ∧ diplomatic ⇒ perfect” because missing: loving.
",0,1
"Facts:  Alice is confident [PERIOD]
Rules:
lonely [IMPLY] difficult [PERIOD]
different [AND] mysterious [AND] elated [IMPLY] jittery [PERIOD]
mysterious [AND] smart [IMPLY] combative [PERIOD]
grumpy [IMPLY] combative [PERIOD]
difficult [IMPLY] confident [PERIOD]
grumpy [AND] bad-tempered [IMPLY] frail [PERIOD]
different [IMPLY] difficult [PERIOD]
jittery [AND] combative [AND] mysterious [IMPLY] frail [PERIOD]
grumpy [AND] good [IMPLY] shy [PERIOD]
confident [AND] mysterious [IMPLY] elated [PERIOD]
lonely [AND] confident [AND] bad-tempered [IMPLY] mysterious [PERIOD]
jittery [IMPLY] difficult [PERIOD]
bad-tempered [AND] difficult [AND] frail [IMPLY] combative [PERIOD]
good [AND] homely [AND] combative [IMPLY] lonely [PERIOD]
shy [AND] frail [IMPLY] mysterious [PERIOD]
confident [AND] difficult [AND] elated [IMPLY] mysterious [PERIOD]
lonely [AND] bad-tempered [IMPLY] confident [PERIOD]
different [AND] frail [AND] bad-tempered [IMPLY] combative [PERIOD]
smart [AND] elated [AND] mysterious [IMPLY] bad-tempered [PERIOD]
different [AND] grumpy [IMPLY] mysterious [PERIOD]
smart [AND] jittery [AND] combative [IMPLY] frail [PERIOD]
good [AND] lonely [AND] smart [IMPLY] shy [PERIOD]
jittery [AND] smart [IMPLY] combative [PERIOD]
shy [IMPLY] grumpy [PERIOD]
friendly [IMPLY] frail [PERIOD]
jittery [AND] difficult [IMPLY] friendly [PERIOD]
homely [IMPLY] confident [PERIOD]
confident [AND] elated [IMPLY] good [PERIOD]
shy [AND] adorable [IMPLY] homely [PERIOD]
good [AND] lonely [AND] mysterious [IMPLY] friendly [PERIOD]
grumpy [AND] difficult [IMPLY] elated [PERIOD]
bad-tempered [AND] homely [IMPLY] lonely [PERIOD]
shy [AND] mysterious [AND] smart [IMPLY] friendly [PERIOD]
homely [AND] grumpy [AND] jittery [IMPLY] different [PERIOD]
frail [IMPLY] elated [PERIOD]
bad-tempered [IMPLY] adorable [PERIOD]
different [AND] bad-tempered [AND] shy [IMPLY] friendly [PERIOD]
bad-tempered [AND] homely [AND] jittery [IMPLY] lonely [PERIOD]
bad-tempered [AND] friendly [AND] good [IMPLY] confident [PERIOD]
difficult [AND] frail [AND] good [IMPLY] elated [PERIOD]
friendly [AND] shy [AND] difficult [IMPLY] good [PERIOD]
confident [AND] friendly [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] confident [PERIOD]
elated [IMPLY] different [PERIOD]
shy [AND] grumpy [AND] jittery [IMPLY] bad-tempered [PERIOD]
homely [AND] lonely [IMPLY] jittery [PERIOD]
good [IMPLY] different [PERIOD]
good [AND] frail [AND] adorable [IMPLY] smart [PERIOD]
smart [IMPLY] homely [PERIOD]
difficult [AND] different [AND] bad-tempered [IMPLY] elated [PERIOD]
adorable [AND] confident [AND] mysterious [IMPLY] difficult [PERIOD]
combative [AND] elated [AND] friendly [IMPLY] grumpy [PERIOD]
difficult [IMPLY] grumpy [PERIOD]
confident [AND] combative [AND] mysterious [IMPLY] different [PERIOD]
lonely [AND] bad-tempered [IMPLY] mysterious [PERIOD]
adorable [IMPLY] difficult [PERIOD]
elated [AND] different [IMPLY] adorable [PERIOD]
bad-tempered [AND] grumpy [AND] combative [IMPLY] adorable [PERIOD]
frail [IMPLY] friendly [PERIOD]
combative [AND] elated [AND] mysterious [IMPLY] bad-tempered [PERIOD]
elated [AND] friendly [AND] adorable [IMPLY] homely [PERIOD]
grumpy [AND] mysterious [AND] shy [IMPLY] jittery [PERIOD]
homely [AND] combative [IMPLY] lonely [PERIOD]
difficult [AND] jittery [IMPLY] confident [PERIOD]
shy [AND] bad-tempered [IMPLY] lonely [PERIOD]
combative [IMPLY] bad-tempered [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   Cannot apply rule “lonely ∧ confident ∧ bad-tempered ⇒ mysterious” because missing: lonely, bad-tempered.
   Cannot apply rule “shy ∧ frail ⇒ mysterious” because missing: shy, frail.
   Cannot apply rule “confident ∧ difficult ∧ elated ⇒ mysterious” because missing: difficult, elated.
   Cannot apply rule “different ∧ grumpy ⇒ mysterious” because missing: different, grumpy.
   Cannot apply rule “lonely ∧ bad-tempered ⇒ mysterious” because missing: lonely, bad-tempered.
",0,5
"Facts:  Alice is bored [PERIOD] Alice is outrageous [PERIOD] Alice is thoughtless [PERIOD] Alice is ambitious [PERIOD]
Rules:
ambitious [IMPLY] outrageous [PERIOD]
attentive [AND] hilarious [IMPLY] uptight [PERIOD]
gorgeous [AND] hilarious [AND] old-fashioned [IMPLY] stupid [PERIOD]
bored [AND] lucky [IMPLY] ambitious [PERIOD]
hilarious [AND] stupid [AND] attentive [IMPLY] uptight [PERIOD]
ambitious [AND] confident [AND] bored [IMPLY] thoughtless [PERIOD]
stupid [AND] outrageous [IMPLY] hilarious [PERIOD]
thoughtless [AND] old-fashioned [AND] ambitious [IMPLY] uptight [PERIOD]
old-fashioned [AND] lucky [IMPLY] uptight [PERIOD]
fearless [AND] confident [AND] ambitious [IMPLY] lucky [PERIOD]
outrageous [IMPLY] thoughtless [PERIOD]
outrageous [AND] attentive [AND] gorgeous [IMPLY] thoughtless [PERIOD]
lucky [AND] uptight [IMPLY] bored [PERIOD]
ambitious [AND] uptight [AND] confident [IMPLY] bored [PERIOD]
thoughtless [IMPLY] hilarious [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   thoughtless ⇒ hilarious
   Cannot apply rule “attentive ∧ hilarious ⇒ uptight” because missing: attentive.
   thoughtless ⇒ hilarious
   Cannot apply rule “hilarious ∧ stupid ∧ attentive ⇒ uptight” because missing: stupid, attentive.
   Cannot apply rule “thoughtless ∧ old-fashioned ∧ ambitious ⇒ uptight” because missing: old-fashioned.
   Cannot apply rule “old-fashioned ∧ lucky ⇒ uptight” because missing: old-fashioned, lucky.
",0,6
"Facts: 
Rules:
fragile [AND] tame [AND] disgusted [IMPLY] inquisitive [PERIOD]
disgusted [AND] inquisitive [AND] victorious [IMPLY] fragile [PERIOD]
victorious [AND] tame [IMPLY] disgusted [PERIOD]
victorious [IMPLY] fragile [PERIOD]
disgusted [AND] victorious [AND] tame [IMPLY] inquisitive [PERIOD]
victorious [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] disgusted [PERIOD]
fragile [IMPLY] inquisitive [PERIOD]
disgusted [IMPLY] victorious [PERIOD]
inquisitive [AND] fragile [AND] tame [IMPLY] victorious [PERIOD]
inquisitive [IMPLY] victorious [PERIOD]
disgusted [AND] victorious [IMPLY] inquisitive [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   Cannot apply rule “fragile ∧ tame ∧ disgusted ⇒ inquisitive” because missing: fragile, tame, disgusted.
   Cannot apply rule “disgusted ∧ victorious ∧ tame ⇒ inquisitive” because missing: disgusted, victorious, tame.
   Cannot apply rule “victorious ⇒ inquisitive” because missing: victorious.
   Cannot apply rule “fragile ⇒ inquisitive” because missing: fragile.
   Cannot apply rule “disgusted ∧ victorious ⇒ inquisitive” because missing: disgusted, victorious.
",0,5
"Facts:  Alice is joyous [PERIOD]
Rules:
blushing [AND] nervous [AND] tired [IMPLY] comfortable [PERIOD]
beautiful [AND] fancy [AND] troubled [IMPLY] joyous [PERIOD]
lonely [AND] troubled [AND] famous [IMPLY] old-fashioned [PERIOD]
witty [IMPLY] straightforward [PERIOD]
blushing [IMPLY] fancy [PERIOD]
crowded [IMPLY] troubled [PERIOD]
exuberant [IMPLY] long [PERIOD]
joyous [AND] straightforward [AND] troubled [IMPLY] blushing [PERIOD]
bad-tempered [AND] beautiful [IMPLY] famous [PERIOD]
witty [AND] gleaming [AND] wandering [IMPLY] tired [PERIOD]
loving [IMPLY] helpful [PERIOD]
perfect [IMPLY] versatile [PERIOD]
beautiful [AND] witty [IMPLY] straightforward [PERIOD]
straightforward [AND] joyous [AND] fancy [IMPLY] wandering [PERIOD]
long [AND] wandering [AND] helpful [IMPLY] gleaming [PERIOD]
blushing [IMPLY] troubled [PERIOD]
wandering [IMPLY] versatile [PERIOD]
blushing [IMPLY] tired [PERIOD]
witty [IMPLY] comfortable [PERIOD]
diplomatic [AND] famous [IMPLY] tired [PERIOD]
troubled [AND] nervous [AND] beautiful [IMPLY] exuberant [PERIOD]
troubled [AND] gleaming [IMPLY] tired [PERIOD]
crowded [AND] diplomatic [IMPLY] old-fashioned [PERIOD]
diplomatic [AND] lonely [AND] comfortable [IMPLY] loving [PERIOD]
perfect [IMPLY] old-fashioned [PERIOD]
helpful [AND] fancy [AND] comfortable [IMPLY] long [PERIOD]
gleaming [AND] comfortable [AND] famous [IMPLY] precious [PERIOD]
beautiful [AND] fancy [AND] tired [IMPLY] witty [PERIOD]
troubled [IMPLY] lonely [PERIOD]
tired [AND] comfortable [IMPLY] exuberant [PERIOD]
old-fashioned [AND] gleaming [IMPLY] troubled [PERIOD]
old-fashioned [AND] joyous [AND] helpful [IMPLY] blushing [PERIOD]
exuberant [AND] helpful [AND] straightforward [IMPLY] wandering [PERIOD]
wandering [AND] famous [AND] gleaming [IMPLY] comfortable [PERIOD]
nervous [AND] famous [IMPLY] old-fashioned [PERIOD]
joyous [AND] long [IMPLY] diplomatic [PERIOD]
crowded [AND] gleaming [AND] long [IMPLY] old-fashioned [PERIOD]
famous [IMPLY] diplomatic [PERIOD]
crowded [IMPLY] fancy [PERIOD]
precious [AND] loving [AND] comfortable [IMPLY] perfect [PERIOD]
gleaming [IMPLY] tired [PERIOD]
long [AND] troubled [AND] crowded [IMPLY] witty [PERIOD]
fancy [IMPLY] old-fashioned [PERIOD]
troubled [AND] gleaming [IMPLY] loving [PERIOD]
joyous [IMPLY] versatile [PERIOD]
gleaming [AND] exuberant [IMPLY] helpful [PERIOD]
old-fashioned [AND] bad-tempered [IMPLY] witty [PERIOD]
nervous [AND] precious [IMPLY] versatile [PERIOD]
loving [AND] exuberant [AND] old-fashioned [IMPLY] crowded [PERIOD]
troubled [AND] straightforward [AND] gleaming [IMPLY] witty [PERIOD]
precious [IMPLY] witty [PERIOD]
loving [IMPLY] long [PERIOD]
famous [AND] joyous [IMPLY] comfortable [PERIOD]
straightforward [AND] troubled [AND] crowded [IMPLY] nervous [PERIOD]
famous [IMPLY] fancy [PERIOD]
long [AND] straightforward [AND] versatile [IMPLY] crowded [PERIOD]
precious [AND] joyous [AND] witty [IMPLY] lonely [PERIOD]
troubled [IMPLY] long [PERIOD]
wandering [IMPLY] comfortable [PERIOD]
blushing [AND] famous [AND] perfect [IMPLY] gleaming [PERIOD]
famous [AND] perfect [AND] joyous [IMPLY] gleaming [PERIOD]
joyous [IMPLY] perfect [PERIOD]
witty [AND] gleaming [AND] lonely [IMPLY] long [PERIOD]
precious [AND] lonely [AND] bad-tempered [IMPLY] gleaming [PERIOD]
beautiful [IMPLY] famous [PERIOD]
tired [AND] beautiful [IMPLY] diplomatic [PERIOD]
old-fashioned [AND] troubled [AND] helpful [IMPLY] famous [PERIOD]
tired [AND] diplomatic [IMPLY] old-fashioned [PERIOD]
straightforward [AND] perfect [IMPLY] nervous [PERIOD]
helpful [AND] lonely [IMPLY] blushing [PERIOD]
bad-tempered [IMPLY] joyous [PERIOD]
long [IMPLY] crowded [PERIOD]
gleaming [AND] crowded [AND] precious [IMPLY] blushing [PERIOD]
famous [AND] straightforward [AND] wandering [IMPLY] fancy [PERIOD]
crowded [IMPLY] nervous [PERIOD]
versatile [AND] wandering [IMPLY] bad-tempered [PERIOD]
nervous [AND] wandering [IMPLY] bad-tempered [PERIOD]
lonely [IMPLY] comfortable [PERIOD]
helpful [AND] joyous [IMPLY] long [PERIOD]
exuberant [AND] joyous [IMPLY] wandering [PERIOD]
blushing [AND] fancy [IMPLY] exuberant [PERIOD]
comfortable [IMPLY] loving [PERIOD]
straightforward [AND] troubled [IMPLY] tired [PERIOD]
old-fashioned [AND] wandering [IMPLY] exuberant [PERIOD]
beautiful [AND] perfect [AND] straightforward [IMPLY] troubled [PERIOD]
witty [AND] straightforward [IMPLY] wandering [PERIOD]
beautiful [AND] nervous [IMPLY] straightforward [PERIOD]
straightforward [AND] loving [AND] lonely [IMPLY] long [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   joyous ⇒ perfect
   perfect ⇒ old-fashioned
   Cannot apply rule “loving ∧ exuberant ∧ old-fashioned ⇒ crowded” because missing: loving, exuberant.
   joyous ⇒ versatile
   Cannot apply rule “long ∧ straightforward ∧ versatile ⇒ crowded” because missing: long, straightforward.
   Cannot apply rule “long ⇒ crowded” because missing: long.
",0,6
"Facts:  Alice is amused [PERIOD]
Rules:
long [IMPLY] amused [PERIOD]
long [AND] stupid [IMPLY] sincere [PERIOD]
supportive [AND] shy [AND] fearless [IMPLY] messy [PERIOD]
inquisitive [AND] light [IMPLY] excited [PERIOD]
curious [AND] long [IMPLY] inquisitive [PERIOD]
shy [AND] stupid [AND] fearless [IMPLY] messy [PERIOD]
excited [AND] light [AND] amused [IMPLY] famous [PERIOD]
supportive [IMPLY] sincere [PERIOD]
supportive [IMPLY] inquisitive [PERIOD]
amused [IMPLY] fearless [PERIOD]
amused [IMPLY] supportive [PERIOD]
inquisitive [AND] messy [AND] famous [IMPLY] sincere [PERIOD]
light [AND] clean [AND] famous [IMPLY] confident [PERIOD]
clean [IMPLY] messy [PERIOD]
supportive [IMPLY] clean [PERIOD]
inquisitive [AND] confident [AND] long [IMPLY] sincere [PERIOD]
curious [AND] stupid [AND] supportive [IMPLY] amused [PERIOD]
confident [AND] clean [AND] light [IMPLY] tired [PERIOD]
stupid [AND] clean [IMPLY] inquisitive [PERIOD]
excited [IMPLY] sincere [PERIOD]
tired [IMPLY] long [PERIOD]
long [AND] light [IMPLY] famous [PERIOD]
amused [AND] curious [AND] long [IMPLY] messy [PERIOD]
tired [AND] amused [IMPLY] curious [PERIOD]
curious [AND] stupid [AND] famous [IMPLY] confident [PERIOD]
tired [AND] messy [IMPLY] clean [PERIOD]
shy [AND] amused [AND] messy [IMPLY] supportive [PERIOD]
shy [AND] tired [IMPLY] stupid [PERIOD]
supportive [IMPLY] excited [PERIOD]
fearless [AND] supportive [IMPLY] excited [PERIOD]
fearless [IMPLY] excited [PERIOD]
long [AND] messy [AND] shy [IMPLY] sincere [PERIOD]
supportive [AND] shy [IMPLY] long [PERIOD]
fearless [IMPLY] confident [PERIOD]
supportive [AND] confident [AND] sincere [IMPLY] shy [PERIOD]
inquisitive [AND] excited [AND] messy [IMPLY] fearless [PERIOD]
excited [AND] messy [IMPLY] famous [PERIOD]
supportive [AND] clean [IMPLY] sincere [PERIOD]
sincere [IMPLY] excited [PERIOD]
inquisitive [IMPLY] shy [PERIOD]
famous [AND] inquisitive [AND] stupid [IMPLY] excited [PERIOD]
light [AND] shy [AND] curious [IMPLY] stupid [PERIOD]
amused [AND] light [AND] shy [IMPLY] supportive [PERIOD]
clean [AND] confident [AND] curious [IMPLY] excited [PERIOD]
shy [AND] amused [AND] inquisitive [IMPLY] excited [PERIOD]
supportive [AND] light [IMPLY] sincere [PERIOD]
tired [AND] clean [IMPLY] amused [PERIOD]
Query: Alice is messy [PERIOD]","Proof chain:
   amused ⇒ supportive
   supportive ⇒ clean
   clean ⇒ messy
",1,3
"Facts:  Alice is thoughtful [PERIOD] Alice is friendly [PERIOD] Alice is victorious [PERIOD] Alice is thoughtless [PERIOD] Alice is stubborn [PERIOD] Alice is bright [PERIOD] Alice is bored [PERIOD] Alice is gifted [PERIOD] Alice is worrisome [PERIOD] Alice is blushing [PERIOD] Alice is tidy [PERIOD] Alice is tense [PERIOD] Alice is alert [PERIOD] Alice is rational [PERIOD] Alice is jittery [PERIOD] Alice is shiny [PERIOD] Alice is difficult [PERIOD] Alice is silly [PERIOD] Alice is selfish [PERIOD] Alice is tired [PERIOD] Alice is courageous [PERIOD] Alice is scared [PERIOD] Alice is exuberant [PERIOD] Alice is fragile [PERIOD] Alice is clean [PERIOD] Alice is straightforward [PERIOD] Alice is gleaming [PERIOD] Alice is glamorous [PERIOD] Alice is comfortable [PERIOD]
Rules:
clean [AND] comfortable [AND] bored [IMPLY] straightforward [PERIOD]
fragile [IMPLY] blushing [PERIOD]
courageous [AND] tidy [IMPLY] friendly [PERIOD]
alert [AND] tired [AND] blushing [IMPLY] shiny [PERIOD]
glamorous [AND] worrisome [AND] stubborn [IMPLY] jittery [PERIOD]
stubborn [AND] shiny [AND] gifted [IMPLY] courageous [PERIOD]
gifted [AND] scared [IMPLY] difficult [PERIOD]
jittery [AND] fragile [IMPLY] exuberant [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is sensible [PERIOD]
Rules:
stupid [AND] bossy [IMPLY] plain [PERIOD]
bossy [IMPLY] sensible [PERIOD]
sensible [IMPLY] plain [PERIOD]
bossy [AND] sensible [AND] stupid [IMPLY] wide-eyed [PERIOD]
sensible [AND] wide-eyed [AND] stupid [IMPLY] bossy [PERIOD]
bossy [AND] sensible [AND] plain [IMPLY] wide-eyed [PERIOD]
plain [AND] stupid [IMPLY] wide-eyed [PERIOD]
stupid [AND] wide-eyed [IMPLY] bossy [PERIOD]
stupid [AND] wide-eyed [AND] sensible [IMPLY] plain [PERIOD]
plain [AND] wide-eyed [AND] stupid [IMPLY] bossy [PERIOD]
wide-eyed [AND] stupid [IMPLY] sensible [PERIOD]
wide-eyed [IMPLY] stupid [PERIOD]
wide-eyed [AND] sensible [IMPLY] bossy [PERIOD]
sensible [AND] plain [IMPLY] stupid [PERIOD]
bossy [AND] wide-eyed [AND] sensible [IMPLY] plain [PERIOD]
sensible [IMPLY] stupid [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   sensible ⇒ plain
",1,1
"Facts:  Alice is adorable [PERIOD] Alice is dull [PERIOD]
Rules:
adorable [AND] elegant [IMPLY] confused [PERIOD]
helpful [AND] tame [AND] hilarious [IMPLY] witty [PERIOD]
supportive [AND] outrageous [AND] horrible [IMPLY] cruel [PERIOD]
ugliest [AND] hilarious [IMPLY] spotless [PERIOD]
ugliest [IMPLY] adorable [PERIOD]
horrible [AND] elegant [AND] ugliest [IMPLY] ugly [PERIOD]
helpful [IMPLY] adorable [PERIOD]
ugly [AND] sincere [AND] helpful [IMPLY] spotless [PERIOD]
witty [AND] hilarious [IMPLY] confused [PERIOD]
tame [AND] helpful [IMPLY] spotless [PERIOD]
cruel [IMPLY] horrible [PERIOD]
supportive [AND] cruel [AND] hilarious [IMPLY] ugly [PERIOD]
helpful [AND] smart [AND] spotless [IMPLY] adorable [PERIOD]
ugliest [AND] supportive [AND] dull [IMPLY] adorable [PERIOD]
cruel [AND] horrible [IMPLY] helpful [PERIOD]
spotless [IMPLY] confused [PERIOD]
witty [AND] dull [AND] elegant [IMPLY] adorable [PERIOD]
reserved [IMPLY] outrageous [PERIOD]
witty [AND] adorable [IMPLY] elegant [PERIOD]
supportive [IMPLY] spotless [PERIOD]
tame [AND] ugliest [IMPLY] sincere [PERIOD]
smart [IMPLY] adorable [PERIOD]
confused [AND] spotless [AND] tame [IMPLY] sincere [PERIOD]
outrageous [IMPLY] ugly [PERIOD]
confused [AND] helpful [AND] reserved [IMPLY] tame [PERIOD]
adorable [AND] helpful [AND] ugliest [IMPLY] ugly [PERIOD]
tame [AND] reserved [AND] adorable [IMPLY] hilarious [PERIOD]
adorable [IMPLY] elegant [PERIOD]
hilarious [AND] reserved [IMPLY] tame [PERIOD]
ugly [AND] horrible [AND] sincere [IMPLY] smart [PERIOD]
tame [AND] smart [AND] spotless [IMPLY] outrageous [PERIOD]
ugly [IMPLY] adorable [PERIOD]
hilarious [IMPLY] ugly [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   adorable ⇒ elegant
   Cannot apply rule “horrible ∧ elegant ∧ ugliest ⇒ ugly” because missing: horrible, ugliest.
   Cannot apply rule “supportive ∧ cruel ∧ hilarious ⇒ ugly” because missing: supportive, cruel, hilarious.
   Cannot apply rule “outrageous ⇒ ugly” because missing: outrageous.
   Cannot apply rule “adorable ∧ helpful ∧ ugliest ⇒ ugly” because missing: helpful, ugliest.
   Cannot apply rule “hilarious ⇒ ugly” because missing: hilarious.
",0,6
"Facts:  Alice is dishonest [PERIOD] Alice is pleasant [PERIOD]
Rules:
busy [AND] pleasant [AND] dishonest [IMPLY] sleepy [PERIOD]
pleasant [AND] stormy [IMPLY] fragile [PERIOD]
dull [AND] busy [AND] innocent [IMPLY] stormy [PERIOD]
pleasant [IMPLY] innocent [PERIOD]
comfortable [AND] inexpensive [AND] fragile [IMPLY] dishonest [PERIOD]
fragile [IMPLY] innocent [PERIOD]
busy [AND] distinct [IMPLY] bad-tempered [PERIOD]
dull [AND] sleepy [IMPLY] naughty [PERIOD]
wrong [AND] stormy [IMPLY] dishonest [PERIOD]
busy [AND] pleasant [IMPLY] fragile [PERIOD]
wrong [AND] bad-tempered [AND] comfortable [IMPLY] stormy [PERIOD]
busy [IMPLY] dull [PERIOD]
sleepy [AND] pleasant [AND] inexpensive [IMPLY] innocent [PERIOD]
pleasant [AND] fragile [IMPLY] distinct [PERIOD]
comfortable [AND] fragile [AND] inexpensive [IMPLY] naughty [PERIOD]
naughty [AND] dishonest [IMPLY] stormy [PERIOD]
distinct [AND] innocent [AND] bad-tempered [IMPLY] naughty [PERIOD]
bad-tempered [AND] fragile [IMPLY] busy [PERIOD]
wrong [IMPLY] dull [PERIOD]
wrong [IMPLY] sleepy [PERIOD]
disgusted [AND] naughty [IMPLY] busy [PERIOD]
bad-tempered [AND] distinct [IMPLY] dishonest [PERIOD]
dull [AND] pleasant [IMPLY] distinct [PERIOD]
dishonest [AND] comfortable [IMPLY] bad-tempered [PERIOD]
distinct [AND] comfortable [AND] bad-tempered [IMPLY] inexpensive [PERIOD]
inexpensive [AND] distinct [IMPLY] dull [PERIOD]
busy [AND] distinct [AND] fragile [IMPLY] dull [PERIOD]
disgusted [AND] bad-tempered [IMPLY] dishonest [PERIOD]
dull [AND] busy [IMPLY] stormy [PERIOD]
dull [AND] inexpensive [IMPLY] fragile [PERIOD]
busy [IMPLY] distinct [PERIOD]
dull [AND] comfortable [IMPLY] stormy [PERIOD]
sleepy [AND] wrong [AND] dull [IMPLY] stormy [PERIOD]
busy [AND] inexpensive [AND] naughty [IMPLY] fragile [PERIOD]
busy [AND] dishonest [AND] stormy [IMPLY] bad-tempered [PERIOD]
distinct [AND] pleasant [AND] dull [IMPLY] sleepy [PERIOD]
busy [IMPLY] inexpensive [PERIOD]
disgusted [AND] inexpensive [AND] dull [IMPLY] wrong [PERIOD]
disgusted [AND] distinct [IMPLY] fragile [PERIOD]
dishonest [IMPLY] wrong [PERIOD]
distinct [AND] disgusted [IMPLY] busy [PERIOD]
dull [IMPLY] innocent [PERIOD]
comfortable [AND] wrong [AND] pleasant [IMPLY] stormy [PERIOD]
naughty [AND] pleasant [AND] sleepy [IMPLY] stormy [PERIOD]
stormy [IMPLY] innocent [PERIOD]
naughty [AND] wrong [AND] stormy [IMPLY] distinct [PERIOD]
dull [AND] dishonest [AND] busy [IMPLY] sleepy [PERIOD]
dull [IMPLY] bad-tempered [PERIOD]
stormy [IMPLY] dishonest [PERIOD]
dull [AND] sleepy [IMPLY] stormy [PERIOD]
bad-tempered [AND] innocent [IMPLY] distinct [PERIOD]
sleepy [AND] stormy [IMPLY] dull [PERIOD]
dishonest [AND] busy [AND] naughty [IMPLY] wrong [PERIOD]
sleepy [AND] innocent [AND] comfortable [IMPLY] dull [PERIOD]
bad-tempered [IMPLY] innocent [PERIOD]
inexpensive [AND] distinct [IMPLY] fragile [PERIOD]
busy [AND] disgusted [AND] dull [IMPLY] naughty [PERIOD]
fragile [AND] sleepy [IMPLY] inexpensive [PERIOD]
dull [AND] comfortable [IMPLY] distinct [PERIOD]
dishonest [AND] naughty [AND] inexpensive [IMPLY] fragile [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   dishonest ⇒ wrong
   wrong ⇒ sleepy
   dishonest ⇒ wrong
   dishonest ⇒ wrong
   wrong ⇒ dull
   sleepy ∧ wrong ∧ dull ⇒ stormy
   pleasant ∧ stormy ⇒ fragile
",1,7
"Facts:  Alice is sincere [PERIOD] Alice is fine [PERIOD] Alice is strange [PERIOD]
Rules:
bored [AND] straightforward [IMPLY] frail [PERIOD]
sincere [IMPLY] proud [PERIOD]
fine [AND] cooperative [IMPLY] frail [PERIOD]
frail [AND] proud [AND] straightforward [IMPLY] sincere [PERIOD]
cooperative [AND] talkative [IMPLY] innocent [PERIOD]
sincere [AND] proud [IMPLY] frail [PERIOD]
sincere [IMPLY] talkative [PERIOD]
innocent [IMPLY] cooperative [PERIOD]
proud [IMPLY] frail [PERIOD]
straightforward [AND] innocent [IMPLY] talkative [PERIOD]
talkative [AND] strange [AND] sincere [IMPLY] cooperative [PERIOD]
bored [IMPLY] talkative [PERIOD]
frail [AND] worrisome [IMPLY] innocent [PERIOD]
innocent [IMPLY] tender [PERIOD]
rational [AND] fine [AND] strange [IMPLY] straightforward [PERIOD]
proud [IMPLY] bored [PERIOD]
bored [AND] fine [IMPLY] worrisome [PERIOD]
talkative [IMPLY] rational [PERIOD]
frail [AND] sincere [AND] proud [IMPLY] strange [PERIOD]
worrisome [AND] innocent [IMPLY] proud [PERIOD]
talkative [AND] bored [IMPLY] rational [PERIOD]
proud [AND] bored [IMPLY] rational [PERIOD]
tender [IMPLY] straightforward [PERIOD]
bored [AND] tender [IMPLY] strange [PERIOD]
cooperative [IMPLY] worrisome [PERIOD]
cooperative [AND] rational [IMPLY] talkative [PERIOD]
fine [AND] straightforward [IMPLY] bored [PERIOD]
tender [AND] straightforward [IMPLY] innocent [PERIOD]
talkative [AND] straightforward [AND] fine [IMPLY] proud [PERIOD]
sincere [AND] proud [AND] rational [IMPLY] bored [PERIOD]
straightforward [AND] frail [AND] rational [IMPLY] cooperative [PERIOD]
frail [AND] talkative [AND] worrisome [IMPLY] cooperative [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   sincere ⇒ proud
   proud ⇒ bored
   bored ∧ fine ⇒ worrisome
",1,3
"Facts:  Alice is wandering [PERIOD] Alice is lucky [PERIOD] Alice is nervous [PERIOD] Alice is sleepy [PERIOD]
Rules:
witty [AND] nervous [IMPLY] dull [PERIOD]
wandering [IMPLY] nervous [PERIOD]
scared [IMPLY] amused [PERIOD]
scared [AND] dull [IMPLY] wandering [PERIOD]
cooperative [AND] nervous [IMPLY] witty [PERIOD]
amused [IMPLY] condemned [PERIOD]
condemned [IMPLY] dull [PERIOD]
dull [AND] sleepy [AND] nervous [IMPLY] cooperative [PERIOD]
amused [IMPLY] wandering [PERIOD]
condemned [IMPLY] scared [PERIOD]
lucky [IMPLY] condemned [PERIOD]
strange [IMPLY] reserved [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   lucky ⇒ condemned
   condemned ⇒ dull
   dull ∧ sleepy ∧ nervous ⇒ cooperative
",1,3
"Facts:  Alice is courageous [PERIOD] Alice is grumpy [PERIOD] Alice is careless [PERIOD] Alice is impartial [PERIOD] Alice is frantic [PERIOD] Alice is embarrassed [PERIOD] Alice is hilarious [PERIOD] Alice is mysterious [PERIOD] Alice is loving [PERIOD] Alice is ambitious [PERIOD] Alice is tidy [PERIOD]
Rules:
grumpy [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] careless [PERIOD]
embarrassed [AND] weary [IMPLY] grumpy [PERIOD]
loving [AND] mysterious [AND] careless [IMPLY] impartial [PERIOD]
frantic [AND] weary [IMPLY] embarrassed [PERIOD]
gleaming [AND] clean [IMPLY] courageous [PERIOD]
tidy [IMPLY] hilarious [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   No rule concludes “stubborn.”
",0,1
"Facts: 
Rules:
selfish [IMPLY] crowded [PERIOD]
rational [AND] zealous [AND] combative [IMPLY] exuberant [PERIOD]
lonely [IMPLY] zealous [PERIOD]
messy [AND] ugly [AND] scared [IMPLY] exuberant [PERIOD]
scared [AND] tame [IMPLY] lonely [PERIOD]
bad-tempered [AND] sincere [IMPLY] scared [PERIOD]
bad-tempered [IMPLY] hilarious [PERIOD]
bossy [IMPLY] tame [PERIOD]
ugly [AND] messy [IMPLY] tame [PERIOD]
dishonest [IMPLY] disobedient [PERIOD]
lonely [IMPLY] rational [PERIOD]
bossy [AND] rational [IMPLY] sincere [PERIOD]
rational [IMPLY] exuberant [PERIOD]
sincere [AND] famous [AND] silly [IMPLY] scared [PERIOD]
combative [AND] hilarious [IMPLY] confused [PERIOD]
scared [IMPLY] messy [PERIOD]
lonely [IMPLY] bossy [PERIOD]
alert [IMPLY] zealous [PERIOD]
silly [IMPLY] alert [PERIOD]
silly [AND] sincere [AND] ugly [IMPLY] zealous [PERIOD]
ugly [IMPLY] exuberant [PERIOD]
disobedient [IMPLY] ugly [PERIOD]
exuberant [AND] messy [IMPLY] zealous [PERIOD]
bossy [AND] mean [AND] selfish [IMPLY] ugly [PERIOD]
exuberant [AND] hilarious [IMPLY] bad-tempered [PERIOD]
famous [AND] bossy [AND] pleasant [IMPLY] disobedient [PERIOD]
ugly [IMPLY] bossy [PERIOD]
hilarious [AND] tame [AND] bossy [IMPLY] selfish [PERIOD]
messy [IMPLY] sincere [PERIOD]
aggressive [AND] calm [AND] lonely [IMPLY] disobedient [PERIOD]
hilarious [AND] pleasant [AND] scared [IMPLY] bad-tempered [PERIOD]
crowded [IMPLY] sincere [PERIOD]
tame [IMPLY] exuberant [PERIOD]
zealous [AND] combative [AND] confused [IMPLY] pleasant [PERIOD]
ugly [AND] calm [AND] silly [IMPLY] exuberant [PERIOD]
aggressive [AND] mean [AND] crowded [IMPLY] bossy [PERIOD]
crowded [AND] calm [AND] scared [IMPLY] lonely [PERIOD]
confused [AND] bossy [AND] messy [IMPLY] sincere [PERIOD]
crowded [IMPLY] pleasant [PERIOD]
dishonest [IMPLY] aggressive [PERIOD]
aggressive [AND] silly [IMPLY] bad-tempered [PERIOD]
exuberant [AND] crowded [AND] zealous [IMPLY] alert [PERIOD]
pleasant [IMPLY] mean [PERIOD]
tame [AND] ugly [AND] exuberant [IMPLY] bossy [PERIOD]
bossy [AND] messy [IMPLY] exuberant [PERIOD]
rational [AND] hilarious [AND] aggressive [IMPLY] famous [PERIOD]
bad-tempered [IMPLY] zealous [PERIOD]
messy [AND] silly [IMPLY] crowded [PERIOD]
combative [AND] famous [AND] ugly [IMPLY] aggressive [PERIOD]
sincere [AND] ugly [IMPLY] silly [PERIOD]
confused [AND] bad-tempered [IMPLY] ugly [PERIOD]
bossy [AND] zealous [AND] aggressive [IMPLY] bad-tempered [PERIOD]
aggressive [AND] zealous [IMPLY] bad-tempered [PERIOD]
mean [IMPLY] dishonest [PERIOD]
alert [IMPLY] mean [PERIOD]
sincere [IMPLY] pleasant [PERIOD]
bossy [IMPLY] calm [PERIOD]
pleasant [IMPLY] scared [PERIOD]
tame [AND] combative [AND] aggressive [IMPLY] selfish [PERIOD]
zealous [AND] crowded [AND] selfish [IMPLY] mean [PERIOD]
alert [AND] bossy [AND] hilarious [IMPLY] crowded [PERIOD]
combative [IMPLY] alert [PERIOD]
exuberant [AND] scared [AND] zealous [IMPLY] silly [PERIOD]
messy [IMPLY] bad-tempered [PERIOD]
bossy [AND] exuberant [IMPLY] scared [PERIOD]
confused [IMPLY] combative [PERIOD]
messy [AND] mean [AND] aggressive [IMPLY] ugly [PERIOD]
aggressive [AND] disobedient [IMPLY] messy [PERIOD]
calm [AND] sincere [IMPLY] combative [PERIOD]
mean [IMPLY] zealous [PERIOD]
combative [IMPLY] bad-tempered [PERIOD]
pleasant [AND] rational [AND] sincere [IMPLY] scared [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   Cannot apply rule “exuberant ∧ hilarious ⇒ bad-tempered” because missing: exuberant, hilarious.
   Cannot apply rule “hilarious ∧ pleasant ∧ scared ⇒ bad-tempered” because missing: hilarious, pleasant, scared.
   Cannot apply rule “aggressive ∧ silly ⇒ bad-tempered” because missing: aggressive, silly.
   Cannot apply rule “bossy ∧ zealous ∧ aggressive ⇒ bad-tempered” because missing: bossy, zealous, aggressive.
   Cannot apply rule “aggressive ∧ zealous ⇒ bad-tempered” because missing: aggressive, zealous.
   Cannot apply rule “messy ⇒ bad-tempered” because missing: messy.
   Cannot apply rule “combative ⇒ bad-tempered” because missing: combative.
",0,7
"Facts:  Alice is unpleasant [PERIOD]
Rules:
messy [AND] tidy [AND] jittery [IMPLY] comfortable [PERIOD]
rational [AND] joyous [IMPLY] clean [PERIOD]
tidy [IMPLY] zealous [PERIOD]
fine [AND] frail [IMPLY] combative [PERIOD]
frantic [AND] frail [IMPLY] jittery [PERIOD]
frantic [AND] worried [AND] comfortable [IMPLY] spotless [PERIOD]
clean [IMPLY] joyous [PERIOD]
rational [IMPLY] talkative [PERIOD]
jittery [AND] frail [IMPLY] stupid [PERIOD]
frantic [AND] stupid [AND] broad-minded [IMPLY] frail [PERIOD]
unpleasant [IMPLY] inquisitive [PERIOD]
frail [IMPLY] talkative [PERIOD]
inquisitive [AND] zealous [IMPLY] clean [PERIOD]
good [IMPLY] joyous [PERIOD]
exuberant [AND] frantic [IMPLY] broad-minded [PERIOD]
zealous [AND] messy [AND] frantic [IMPLY] spotless [PERIOD]
good [IMPLY] exuberant [PERIOD]
combative [AND] broad-minded [AND] jittery [IMPLY] comfortable [PERIOD]
combative [AND] clean [AND] zealous [IMPLY] worried [PERIOD]
comfortable [AND] spotless [IMPLY] worried [PERIOD]
frail [AND] jittery [IMPLY] exuberant [PERIOD]
tidy [AND] unpleasant [IMPLY] bright [PERIOD]
rational [IMPLY] bright [PERIOD]
joyous [IMPLY] unpleasant [PERIOD]
frantic [AND] jittery [AND] broad-minded [IMPLY] rational [PERIOD]
messy [AND] combative [AND] comfortable [IMPLY] broad-minded [PERIOD]
talkative [AND] spotless [IMPLY] zealous [PERIOD]
stupid [IMPLY] exuberant [PERIOD]
bright [IMPLY] inquisitive [PERIOD]
frail [IMPLY] rational [PERIOD]
frail [AND] unpleasant [IMPLY] fine [PERIOD]
worried [AND] bright [AND] jittery [IMPLY] broad-minded [PERIOD]
stupid [AND] comfortable [AND] bright [IMPLY] jittery [PERIOD]
spotless [AND] broad-minded [IMPLY] comfortable [PERIOD]
frail [AND] tidy [AND] exuberant [IMPLY] broad-minded [PERIOD]
comfortable [AND] frantic [AND] unpleasant [IMPLY] talkative [PERIOD]
comfortable [AND] messy [AND] broad-minded [IMPLY] rational [PERIOD]
clean [AND] jittery [AND] tidy [IMPLY] frail [PERIOD]
frantic [AND] bright [AND] messy [IMPLY] stupid [PERIOD]
messy [IMPLY] frail [PERIOD]
messy [AND] joyous [AND] tidy [IMPLY] comfortable [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   Cannot apply rule “frantic ∧ jittery ∧ broad-minded ⇒ rational” because missing: frantic, jittery, broad-minded.
   Cannot apply rule “frail ⇒ rational” because missing: frail.
   Cannot apply rule “comfortable ∧ messy ∧ broad-minded ⇒ rational” because missing: comfortable, messy, broad-minded.
",0,3
"Facts: 
Rules:
exuberant [AND] careless [AND] fragile [IMPLY] impatient [PERIOD]
worried [AND] embarrassed [AND] ambitious [IMPLY] rude [PERIOD]
popular [AND] sleepy [AND] fragile [IMPLY] careless [PERIOD]
impatient [IMPLY] spotless [PERIOD]
embarrassed [AND] worried [AND] spotless [IMPLY] careless [PERIOD]
ambitious [IMPLY] spotless [PERIOD]
ambitious [AND] rude [AND] glamorous [IMPLY] embarrassed [PERIOD]
spotless [IMPLY] glamorous [PERIOD]
popular [AND] exuberant [IMPLY] spotless [PERIOD]
rude [IMPLY] exuberant [PERIOD]
fragile [AND] spotless [AND] impatient [IMPLY] exuberant [PERIOD]
impatient [AND] popular [IMPLY] spotless [PERIOD]
embarrassed [AND] fragile [IMPLY] sleepy [PERIOD]
exuberant [AND] sleepy [IMPLY] glamorous [PERIOD]
popular [IMPLY] careless [PERIOD]
fragile [AND] impatient [IMPLY] exuberant [PERIOD]
careless [AND] rude [AND] fragile [IMPLY] sleepy [PERIOD]
careless [AND] exuberant [AND] fragile [IMPLY] worried [PERIOD]
worried [IMPLY] glamorous [PERIOD]
rude [IMPLY] glamorous [PERIOD]
popular [IMPLY] glamorous [PERIOD]
popular [AND] spotless [AND] embarrassed [IMPLY] impatient [PERIOD]
glamorous [IMPLY] careless [PERIOD]
careless [IMPLY] embarrassed [PERIOD]
impatient [IMPLY] sleepy [PERIOD]
embarrassed [IMPLY] spotless [PERIOD]
glamorous [AND] careless [IMPLY] sleepy [PERIOD]
fragile [AND] embarrassed [AND] glamorous [IMPLY] spotless [PERIOD]
worried [AND] sleepy [AND] careless [IMPLY] fragile [PERIOD]
worried [IMPLY] impatient [PERIOD]
ambitious [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] popular [PERIOD]
careless [AND] glamorous [IMPLY] embarrassed [PERIOD]
worried [AND] embarrassed [IMPLY] exuberant [PERIOD]
ambitious [AND] sleepy [AND] embarrassed [IMPLY] exuberant [PERIOD]
worried [AND] careless [IMPLY] exuberant [PERIOD]
exuberant [AND] careless [IMPLY] fragile [PERIOD]
worried [AND] sleepy [AND] fragile [IMPLY] careless [PERIOD]
ambitious [AND] careless [AND] spotless [IMPLY] sleepy [PERIOD]
worried [AND] ambitious [AND] glamorous [IMPLY] embarrassed [PERIOD]
careless [AND] exuberant [IMPLY] embarrassed [PERIOD]
impatient [AND] fragile [IMPLY] spotless [PERIOD]
glamorous [AND] impatient [AND] rude [IMPLY] spotless [PERIOD]
careless [IMPLY] worried [PERIOD]
worried [AND] fragile [AND] impatient [IMPLY] sleepy [PERIOD]
careless [AND] worried [AND] exuberant [IMPLY] sleepy [PERIOD]
worried [AND] fragile [AND] popular [IMPLY] ambitious [PERIOD]
rude [IMPLY] careless [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
   Cannot apply rule “rude ⇒ exuberant” because missing: rude.
   Cannot apply rule “fragile ∧ spotless ∧ impatient ⇒ exuberant” because missing: fragile, spotless, impatient.
   Cannot apply rule “fragile ∧ impatient ⇒ exuberant” because missing: fragile, impatient.
   Cannot apply rule “ambitious ⇒ exuberant” because missing: ambitious.
   Cannot apply rule “worried ∧ embarrassed ⇒ exuberant” because missing: worried, embarrassed.
   Cannot apply rule “ambitious ∧ sleepy ∧ embarrassed ⇒ exuberant” because missing: ambitious, sleepy, embarrassed.
   Cannot apply rule “worried ∧ careless ⇒ exuberant” because missing: worried, careless.
",0,7
"Facts: 
Rules:
bossy [AND] elated [AND] supportive [IMPLY] sensible [PERIOD]
ugly [AND] helpless [IMPLY] elated [PERIOD]
wide-eyed [AND] calm [IMPLY] sensible [PERIOD]
hilarious [AND] crowded [IMPLY] ugliest [PERIOD]
crowded [AND] ugly [IMPLY] gifted [PERIOD]
gifted [IMPLY] wrong [PERIOD]
confused [AND] wrong [AND] hilarious [IMPLY] homely [PERIOD]
average [AND] different [IMPLY] crowded [PERIOD]
amused [AND] wrong [IMPLY] crowded [PERIOD]
calm [AND] hilarious [AND] thoughtful [IMPLY] homely [PERIOD]
confused [IMPLY] wide-eyed [PERIOD]
ugly [AND] elated [IMPLY] helpless [PERIOD]
weary [AND] tidy [IMPLY] hilarious [PERIOD]
helpless [IMPLY] amused [PERIOD]
wrong [IMPLY] ugliest [PERIOD]
homely [AND] amused [AND] tidy [IMPLY] bossy [PERIOD]
wrong [IMPLY] tame [PERIOD]
glamorous [AND] tame [IMPLY] wide-eyed [PERIOD]
crowded [AND] supportive [AND] tame [IMPLY] hilarious [PERIOD]
average [AND] ugliest [AND] crowded [IMPLY] wide-eyed [PERIOD]
crowded [AND] hilarious [IMPLY] bossy [PERIOD]
bossy [AND] wide-eyed [AND] tense [IMPLY] helpless [PERIOD]
gifted [AND] average [AND] calm [IMPLY] helpless [PERIOD]
elated [AND] average [AND] glamorous [IMPLY] calm [PERIOD]
average [AND] amused [AND] glamorous [IMPLY] weary [PERIOD]
supportive [IMPLY] tame [PERIOD]
ugliest [IMPLY] weary [PERIOD]
supportive [AND] tense [IMPLY] glamorous [PERIOD]
amused [IMPLY] average [PERIOD]
crowded [AND] calm [AND] tidy [IMPLY] wrong [PERIOD]
calm [IMPLY] crowded [PERIOD]
average [AND] different [IMPLY] bossy [PERIOD]
weary [AND] elated [AND] different [IMPLY] ugly [PERIOD]
helpless [AND] supportive [AND] tense [IMPLY] confused [PERIOD]
tidy [AND] average [AND] confused [IMPLY] gifted [PERIOD]
perfect [AND] sensible [AND] elated [IMPLY] ugliest [PERIOD]
tidy [AND] confused [IMPLY] bossy [PERIOD]
supportive [AND] elated [IMPLY] average [PERIOD]
hilarious [AND] tidy [AND] glamorous [IMPLY] wrong [PERIOD]
elated [AND] homely [AND] helpless [IMPLY] confused [PERIOD]
supportive [AND] wrong [IMPLY] ugly [PERIOD]
perfect [IMPLY] homely [PERIOD]
ugliest [AND] different [AND] bossy [IMPLY] supportive [PERIOD]
tidy [AND] tame [AND] wide-eyed [IMPLY] gifted [PERIOD]
homely [AND] ugly [IMPLY] perfect [PERIOD]
glamorous [IMPLY] confused [PERIOD]
average [IMPLY] amused [PERIOD]
confused [IMPLY] bossy [PERIOD]
helpless [AND] tense [AND] gifted [IMPLY] ugly [PERIOD]
tame [AND] perfect [IMPLY] hilarious [PERIOD]
wide-eyed [IMPLY] supportive [PERIOD]
elated [AND] tidy [AND] hilarious [IMPLY] thoughtful [PERIOD]
wrong [AND] perfect [AND] tense [IMPLY] ugly [PERIOD]
gifted [IMPLY] elated [PERIOD]
glamorous [IMPLY] wide-eyed [PERIOD]
bossy [IMPLY] sensible [PERIOD]
weary [AND] hilarious [AND] helpless [IMPLY] tense [PERIOD]
ugly [AND] tidy [AND] gifted [IMPLY] glamorous [PERIOD]
calm [IMPLY] supportive [PERIOD]
helpless [IMPLY] weary [PERIOD]
glamorous [AND] tense [AND] perfect [IMPLY] gifted [PERIOD]
confused [AND] supportive [IMPLY] glamorous [PERIOD]
tense [IMPLY] weary [PERIOD]
perfect [AND] tense [IMPLY] wide-eyed [PERIOD]
tense [IMPLY] average [PERIOD]
wrong [IMPLY] crowded [PERIOD]
glamorous [AND] average [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] ugly [PERIOD]
thoughtful [AND] average [IMPLY] supportive [PERIOD]
confused [AND] elated [IMPLY] glamorous [PERIOD]
hilarious [AND] tame [IMPLY] glamorous [PERIOD]
glamorous [AND] calm [AND] crowded [IMPLY] confused [PERIOD]
ugly [AND] wrong [IMPLY] thoughtful [PERIOD]
wrong [AND] wide-eyed [AND] tidy [IMPLY] supportive [PERIOD]
confused [IMPLY] wrong [PERIOD]
tidy [IMPLY] elated [PERIOD]
ugliest [AND] average [AND] ugly [IMPLY] sensible [PERIOD]
tense [IMPLY] thoughtful [PERIOD]
tidy [IMPLY] homely [PERIOD]
confused [AND] average [IMPLY] tidy [PERIOD]
wrong [IMPLY] tidy [PERIOD]
weary [IMPLY] hilarious [PERIOD]
average [AND] tame [IMPLY] helpless [PERIOD]
ugly [AND] hilarious [IMPLY] perfect [PERIOD]
hilarious [AND] elated [IMPLY] ugly [PERIOD]
wide-eyed [IMPLY] perfect [PERIOD]
homely [AND] tame [AND] perfect [IMPLY] tense [PERIOD]
supportive [IMPLY] amused [PERIOD]
confused [AND] crowded [AND] sensible [IMPLY] gifted [PERIOD]
homely [IMPLY] different [PERIOD]
elated [AND] sensible [AND] weary [IMPLY] confused [PERIOD]
sensible [AND] weary [AND] bossy [IMPLY] confused [PERIOD]
homely [IMPLY] tense [PERIOD]
crowded [AND] wide-eyed [AND] helpless [IMPLY] homely [PERIOD]
bossy [IMPLY] perfect [PERIOD]
calm [AND] weary [IMPLY] tidy [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   Cannot apply rule “confused ∧ average ⇒ tidy” because missing: confused, average.
   Cannot apply rule “wrong ⇒ tidy” because missing: wrong.
   Cannot apply rule “calm ∧ weary ⇒ tidy” because missing: calm, weary.
",0,3
"Facts:  Alice is sensible [PERIOD] Alice is charming [PERIOD] Alice is adorable [PERIOD] Alice is agreeable [PERIOD] Alice is serious [PERIOD] Alice is fragile [PERIOD] Alice is ugly [PERIOD] Alice is worrisome [PERIOD] Alice is calm [PERIOD] Alice is frightened [PERIOD] Alice is silly [PERIOD] Alice is elated [PERIOD] Alice is lonely [PERIOD]
Rules:
loving [AND] agreeable [IMPLY] worrisome [PERIOD]
calm [IMPLY] elated [PERIOD]
agreeable [AND] busy [IMPLY] charming [PERIOD]
worrisome [AND] charming [AND] lonely [IMPLY] busy [PERIOD]
disgusted [AND] frightened [IMPLY] lonely [PERIOD]
easy [AND] charming [AND] elated [IMPLY] frightened [PERIOD]
frightened [IMPLY] hilarious [PERIOD]
easy [AND] worrisome [IMPLY] calm [PERIOD]
lonely [AND] fragile [AND] long [IMPLY] agreeable [PERIOD]
worrisome [AND] elated [AND] adorable [IMPLY] charming [PERIOD]
agreeable [AND] adorable [IMPLY] calm [PERIOD]
joyous [AND] silly [IMPLY] disgusted [PERIOD]
ugly [AND] joyous [IMPLY] lonely [PERIOD]
calm [AND] lonely [AND] joyous [IMPLY] agreeable [PERIOD]
busy [AND] long [IMPLY] agreeable [PERIOD]
busy [IMPLY] lonely [PERIOD]
lonely [AND] adorable [AND] easy [IMPLY] busy [PERIOD]
elated [AND] long [AND] easy [IMPLY] lonely [PERIOD]
disgusted [AND] ugly [IMPLY] charming [PERIOD]
disgusted [AND] fragile [IMPLY] sensible [PERIOD]
fragile [IMPLY] disgusted [PERIOD]
calm [AND] busy [IMPLY] loving [PERIOD]
ugly [AND] adorable [IMPLY] disgusted [PERIOD]
agreeable [AND] busy [AND] calm [IMPLY] worrisome [PERIOD]
lonely [IMPLY] adorable [PERIOD]
joyous [AND] long [AND] agreeable [IMPLY] elated [PERIOD]
calm [IMPLY] silly [PERIOD]
easy [AND] loving [IMPLY] adorable [PERIOD]
silly [IMPLY] lonely [PERIOD]
sensible [AND] joyous [AND] elated [IMPLY] fragile [PERIOD]
loving [AND] calm [IMPLY] charming [PERIOD]
hilarious [IMPLY] busy [PERIOD]
fragile [AND] agreeable [IMPLY] ugly [PERIOD]
busy [AND] fragile [IMPLY] adorable [PERIOD]
worrisome [IMPLY] agreeable [PERIOD]
charming [IMPLY] disgusted [PERIOD]
sensible [AND] worrisome [IMPLY] frightened [PERIOD]
joyous [IMPLY] worrisome [PERIOD]
silly [AND] agreeable [AND] frightened [IMPLY] hilarious [PERIOD]
frightened [AND] adorable [AND] ugly [IMPLY] loving [PERIOD]
silly [IMPLY] fragile [PERIOD]
sensible [AND] lonely [AND] charming [IMPLY] adorable [PERIOD]
calm [IMPLY] serious [PERIOD]
ugly [AND] easy [AND] lonely [IMPLY] serious [PERIOD]
fragile [AND] elated [IMPLY] silly [PERIOD]
hilarious [AND] worrisome [AND] serious [IMPLY] frightened [PERIOD]
sensible [IMPLY] lonely [PERIOD]
hilarious [AND] long [AND] fragile [IMPLY] serious [PERIOD]
worrisome [IMPLY] serious [PERIOD]
easy [IMPLY] busy [PERIOD]
busy [AND] ugly [AND] disgusted [IMPLY] serious [PERIOD]
lonely [AND] adorable [IMPLY] agreeable [PERIOD]
joyous [AND] ugly [AND] agreeable [IMPLY] long [PERIOD]
disgusted [IMPLY] ugly [PERIOD]
hilarious [AND] serious [AND] ugly [IMPLY] busy [PERIOD]
lonely [AND] easy [AND] frightened [IMPLY] long [PERIOD]
worrisome [AND] adorable [AND] agreeable [IMPLY] easy [PERIOD]
agreeable [IMPLY] charming [PERIOD]
lonely [IMPLY] long [PERIOD]
busy [AND] lonely [AND] adorable [IMPLY] disgusted [PERIOD]
long [AND] lonely [IMPLY] hilarious [PERIOD]
worrisome [AND] joyous [AND] ugly [IMPLY] busy [PERIOD]
charming [AND] frightened [IMPLY] easy [PERIOD]
ugly [IMPLY] frightened [PERIOD]
loving [AND] joyous [AND] fragile [IMPLY] ugly [PERIOD]
disgusted [IMPLY] busy [PERIOD]
calm [AND] busy [AND] serious [IMPLY] silly [PERIOD]
ugly [AND] long [AND] sensible [IMPLY] busy [PERIOD]
joyous [AND] fragile [IMPLY] easy [PERIOD]
hilarious [IMPLY] fragile [PERIOD]
silly [IMPLY] loving [PERIOD]
long [AND] sensible [AND] lonely [IMPLY] agreeable [PERIOD]
hilarious [IMPLY] loving [PERIOD]
busy [IMPLY] silly [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is different [PERIOD] Alice is clean [PERIOD] Alice is serious [PERIOD]
Rules:
jittery [AND] different [IMPLY] old-fashioned [PERIOD]
plain [IMPLY] different [PERIOD]
calm [IMPLY] clean [PERIOD]
shy [AND] different [IMPLY] calm [PERIOD]
different [IMPLY] jittery [PERIOD]
shy [IMPLY] serious [PERIOD]
comfortable [AND] clean [IMPLY] plain [PERIOD]
different [AND] shy [IMPLY] impartial [PERIOD]
shy [AND] cute [IMPLY] plain [PERIOD]
different [AND] old-fashioned [AND] cute [IMPLY] jittery [PERIOD]
impartial [IMPLY] shy [PERIOD]
jittery [AND] plain [IMPLY] comfortable [PERIOD]
old-fashioned [AND] calm [AND] jittery [IMPLY] plain [PERIOD]
calm [AND] cute [IMPLY] shy [PERIOD]
jittery [AND] calm [AND] serious [IMPLY] cute [PERIOD]
careless [AND] comfortable [IMPLY] cute [PERIOD]
cute [AND] careless [IMPLY] old-fashioned [PERIOD]
jittery [IMPLY] shy [PERIOD]
different [IMPLY] calm [PERIOD]
cute [IMPLY] jittery [PERIOD]
cute [AND] serious [AND] comfortable [IMPLY] impartial [PERIOD]
different [IMPLY] cute [PERIOD]
old-fashioned [AND] clean [AND] plain [IMPLY] cute [PERIOD]
calm [AND] plain [AND] shy [IMPLY] clean [PERIOD]
clean [AND] serious [IMPLY] different [PERIOD]
comfortable [IMPLY] impartial [PERIOD]
cute [AND] serious [AND] careless [IMPLY] plain [PERIOD]
plain [AND] careless [IMPLY] comfortable [PERIOD]
plain [AND] cute [AND] impartial [IMPLY] different [PERIOD]
calm [IMPLY] serious [PERIOD]
comfortable [AND] cute [AND] careless [IMPLY] calm [PERIOD]
jittery [AND] clean [IMPLY] comfortable [PERIOD]
shy [AND] cute [AND] jittery [IMPLY] comfortable [PERIOD]
calm [AND] jittery [IMPLY] careless [PERIOD]
careless [AND] cute [IMPLY] plain [PERIOD]
careless [AND] calm [AND] plain [IMPLY] shy [PERIOD]
clean [AND] different [AND] careless [IMPLY] cute [PERIOD]
different [AND] impartial [IMPLY] shy [PERIOD]
serious [AND] jittery [AND] different [IMPLY] careless [PERIOD]
shy [AND] clean [IMPLY] impartial [PERIOD]
calm [AND] cute [IMPLY] serious [PERIOD]
clean [IMPLY] comfortable [PERIOD]
calm [AND] careless [IMPLY] jittery [PERIOD]
old-fashioned [AND] impartial [AND] serious [IMPLY] different [PERIOD]
plain [AND] old-fashioned [IMPLY] comfortable [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   clean ⇒ comfortable
   comfortable ⇒ impartial
",1,2
"Facts:  Alice is helpful [PERIOD] Alice is friendly [PERIOD] Alice is worried [PERIOD] Alice is exuberant [PERIOD] Alice is combative [PERIOD] Alice is impartial [PERIOD] Alice is attractive [PERIOD]
Rules:
impartial [IMPLY] attractive [PERIOD]
combative [AND] friendly [AND] diplomatic [IMPLY] attractive [PERIOD]
serious [AND] modern [AND] combative [IMPLY] worried [PERIOD]
combative [AND] worried [IMPLY] impartial [PERIOD]
modern [IMPLY] diplomatic [PERIOD]
serious [AND] zealous [IMPLY] diplomatic [PERIOD]
famous [IMPLY] worried [PERIOD]
stupid [IMPLY] dishonest [PERIOD]
stupid [AND] zealous [AND] tense [IMPLY] helpful [PERIOD]
impartial [IMPLY] zealous [PERIOD]
serious [AND] dishonest [IMPLY] zealous [PERIOD]
diplomatic [AND] modern [AND] impartial [IMPLY] zealous [PERIOD]
dishonest [AND] attractive [AND] impartial [IMPLY] worried [PERIOD]
serious [AND] attractive [AND] modern [IMPLY] messy [PERIOD]
diplomatic [AND] zealous [IMPLY] messy [PERIOD]
zealous [IMPLY] blushing [PERIOD]
messy [AND] exuberant [AND] helpful [IMPLY] tense [PERIOD]
worried [AND] attractive [AND] messy [IMPLY] impartial [PERIOD]
zealous [IMPLY] exuberant [PERIOD]
dishonest [AND] diplomatic [AND] famous [IMPLY] zealous [PERIOD]
diplomatic [AND] exuberant [AND] stupid [IMPLY] impartial [PERIOD]
combative [AND] tense [IMPLY] famous [PERIOD]
messy [AND] blushing [AND] tense [IMPLY] combative [PERIOD]
tense [IMPLY] exuberant [PERIOD]
zealous [AND] exuberant [AND] attractive [IMPLY] worried [PERIOD]
messy [IMPLY] impartial [PERIOD]
diplomatic [IMPLY] friendly [PERIOD]
serious [AND] zealous [IMPLY] helpful [PERIOD]
combative [IMPLY] exuberant [PERIOD]
friendly [AND] attractive [IMPLY] famous [PERIOD]
messy [IMPLY] blushing [PERIOD]
combative [AND] worried [AND] dishonest [IMPLY] impartial [PERIOD]
dishonest [AND] stupid [AND] famous [IMPLY] impartial [PERIOD]
friendly [AND] combative [AND] zealous [IMPLY] worried [PERIOD]
exuberant [AND] combative [AND] famous [IMPLY] serious [PERIOD]
impartial [AND] tense [AND] dishonest [IMPLY] stupid [PERIOD]
attractive [AND] impartial [IMPLY] stupid [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   friendly ∧ attractive ⇒ famous
   exuberant ∧ combative ∧ famous ⇒ serious
   impartial ⇒ zealous
   serious ∧ zealous ⇒ diplomatic
   impartial ⇒ zealous
   diplomatic ∧ zealous ⇒ messy
   messy ∧ exuberant ∧ helpful ⇒ tense
",1,7
"Facts: 
Rules:
tender [IMPLY] precious [PERIOD]
polite [IMPLY] precious [PERIOD]
tender [AND] outstanding [AND] polite [IMPLY] precious [PERIOD]
outstanding [AND] tender [AND] enchanting [IMPLY] precious [PERIOD]
enchanting [AND] polite [IMPLY] outstanding [PERIOD]
outstanding [AND] tender [AND] enchanting [IMPLY] polite [PERIOD]
precious [AND] tender [AND] outstanding [IMPLY] enchanting [PERIOD]
tender [AND] outstanding [IMPLY] polite [PERIOD]
tender [AND] enchanting [AND] precious [IMPLY] outstanding [PERIOD]
polite [AND] precious [IMPLY] outstanding [PERIOD]
polite [IMPLY] tender [PERIOD]
polite [AND] enchanting [AND] outstanding [IMPLY] tender [PERIOD]
polite [AND] precious [AND] enchanting [IMPLY] tender [PERIOD]
tender [AND] precious [AND] outstanding [IMPLY] polite [PERIOD]
outstanding [IMPLY] enchanting [PERIOD]
precious [IMPLY] enchanting [PERIOD]
outstanding [IMPLY] precious [PERIOD]
polite [AND] outstanding [IMPLY] enchanting [PERIOD]
tender [AND] polite [IMPLY] outstanding [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
   Cannot apply rule “tender ⇒ precious” because missing: tender.
   Cannot apply rule “polite ⇒ precious” because missing: polite.
   Cannot apply rule “tender ∧ outstanding ∧ polite ⇒ precious” because missing: tender, outstanding, polite.
   Cannot apply rule “outstanding ∧ tender ∧ enchanting ⇒ precious” because missing: outstanding, tender, enchanting.
   Cannot apply rule “outstanding ⇒ precious” because missing: outstanding.
",0,5
"Facts:  Alice is talented [PERIOD] Alice is wrong [PERIOD] Alice is messy [PERIOD] Alice is thoughtless [PERIOD] Alice is anxious [PERIOD] Alice is powerful [PERIOD]
Rules:
thoughtless [IMPLY] anxious [PERIOD]
thoughtless [AND] rational [IMPLY] supportive [PERIOD]
gorgeous [AND] thoughtless [IMPLY] ambitious [PERIOD]
supportive [IMPLY] thoughtless [PERIOD]
gorgeous [AND] talented [IMPLY] powerful [PERIOD]
rational [IMPLY] supportive [PERIOD]
anxious [AND] talented [IMPLY] powerful [PERIOD]
supportive [AND] rational [AND] wrong [IMPLY] talented [PERIOD]
messy [IMPLY] ambitious [PERIOD]
wrong [AND] ambitious [IMPLY] anxious [PERIOD]
wrong [IMPLY] naughty [PERIOD]
talented [AND] wrong [AND] naughty [IMPLY] ambitious [PERIOD]
wrong [AND] gorgeous [AND] rational [IMPLY] thoughtless [PERIOD]
talented [IMPLY] wrong [PERIOD]
thoughtless [AND] anxious [IMPLY] pessimistic [PERIOD]
ambitious [AND] pessimistic [IMPLY] talented [PERIOD]
rational [AND] supportive [AND] naughty [IMPLY] anxious [PERIOD]
wrong [IMPLY] talented [PERIOD]
gorgeous [IMPLY] thoughtless [PERIOD]
talented [AND] ambitious [AND] pessimistic [IMPLY] wrong [PERIOD]
ambitious [AND] thoughtless [IMPLY] supportive [PERIOD]
anxious [AND] ambitious [AND] pessimistic [IMPLY] gorgeous [PERIOD]
anxious [IMPLY] messy [PERIOD]
thoughtless [AND] gorgeous [IMPLY] powerful [PERIOD]
thoughtless [AND] talented [IMPLY] ambitious [PERIOD]
wrong [IMPLY] ambitious [PERIOD]
naughty [IMPLY] ambitious [PERIOD]
pessimistic [AND] thoughtless [IMPLY] powerful [PERIOD]
anxious [AND] rational [AND] powerful [IMPLY] naughty [PERIOD]
supportive [AND] naughty [AND] pessimistic [IMPLY] anxious [PERIOD]
naughty [AND] talented [AND] ambitious [IMPLY] powerful [PERIOD]
ambitious [AND] messy [AND] supportive [IMPLY] powerful [PERIOD]
naughty [AND] anxious [AND] wrong [IMPLY] messy [PERIOD]
thoughtless [AND] supportive [AND] naughty [IMPLY] anxious [PERIOD]
ambitious [AND] rational [AND] naughty [IMPLY] anxious [PERIOD]
gorgeous [AND] talented [IMPLY] thoughtless [PERIOD]
ambitious [AND] gorgeous [AND] supportive [IMPLY] rational [PERIOD]
rational [AND] anxious [IMPLY] talented [PERIOD]
wrong [AND] rational [AND] ambitious [IMPLY] pessimistic [PERIOD]
messy [AND] powerful [AND] gorgeous [IMPLY] ambitious [PERIOD]
ambitious [AND] supportive [IMPLY] thoughtless [PERIOD]
thoughtless [AND] gorgeous [AND] supportive [IMPLY] talented [PERIOD]
supportive [IMPLY] powerful [PERIOD]
ambitious [AND] wrong [IMPLY] thoughtless [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   messy ⇒ ambitious
   messy ⇒ ambitious
   thoughtless ∧ anxious ⇒ pessimistic
   anxious ∧ ambitious ∧ pessimistic ⇒ gorgeous
   messy ⇒ ambitious
   ambitious ∧ thoughtless ⇒ supportive
   ambitious ∧ gorgeous ∧ supportive ⇒ rational
",1,7
"Facts:  Alice is loving [PERIOD] Alice is frail [PERIOD] Alice is careless [PERIOD] Alice is crowded [PERIOD] Alice is uptight [PERIOD] Alice is bright [PERIOD] Alice is scared [PERIOD] Alice is mysterious [PERIOD] Alice is joyous [PERIOD] Alice is good [PERIOD]
Rules:
plain [AND] wrong [IMPLY] careless [PERIOD]
mysterious [IMPLY] careless [PERIOD]
condemned [AND] supportive [IMPLY] mysterious [PERIOD]
mysterious [AND] attentive [AND] condemned [IMPLY] supportive [PERIOD]
supportive [IMPLY] loving [PERIOD]
distinct [IMPLY] intellectual [PERIOD]
tense [AND] distinct [IMPLY] inquisitive [PERIOD]
distinct [AND] charming [IMPLY] loving [PERIOD]
uptight [AND] charming [AND] diplomatic [IMPLY] supportive [PERIOD]
diplomatic [IMPLY] spotless [PERIOD]
attentive [IMPLY] wrong [PERIOD]
uptight [IMPLY] crowded [PERIOD]
supportive [AND] calm [IMPLY] loving [PERIOD]
mysterious [AND] charming [AND] dishonest [IMPLY] wrong [PERIOD]
condemned [IMPLY] charming [PERIOD]
frail [AND] attentive [IMPLY] loving [PERIOD]
loving [IMPLY] inquisitive [PERIOD]
wandering [AND] joyous [AND] condemned [IMPLY] intellectual [PERIOD]
supportive [AND] clean [AND] diplomatic [IMPLY] uptight [PERIOD]
diplomatic [AND] condemned [AND] clean [IMPLY] plain [PERIOD]
distinct [AND] crowded [AND] inquisitive [IMPLY] bright [PERIOD]
crowded [AND] calm [IMPLY] spotless [PERIOD]
loving [IMPLY] condemned [PERIOD]
bad-tempered [IMPLY] scared [PERIOD]
tense [IMPLY] distinct [PERIOD]
calm [IMPLY] plain [PERIOD]
charming [AND] spotless [IMPLY] busy [PERIOD]
diplomatic [AND] spotless [IMPLY] careless [PERIOD]
bright [IMPLY] plain [PERIOD]
bright [AND] plain [AND] diplomatic [IMPLY] wrong [PERIOD]
muddy [AND] crowded [AND] inquisitive [IMPLY] diplomatic [PERIOD]
attentive [AND] distinct [AND] muddy [IMPLY] inquisitive [PERIOD]
busy [IMPLY] uptight [PERIOD]
bright [AND] distinct [IMPLY] inquisitive [PERIOD]
condemned [AND] bad-tempered [AND] clean [IMPLY] intellectual [PERIOD]
inquisitive [IMPLY] uptight [PERIOD]
bad-tempered [IMPLY] tense [PERIOD]
mysterious [AND] distinct [AND] busy [IMPLY] bright [PERIOD]
bright [AND] loving [IMPLY] strange [PERIOD]
crowded [AND] clean [AND] dishonest [IMPLY] charming [PERIOD]
attentive [AND] intellectual [IMPLY] distinct [PERIOD]
attentive [IMPLY] frail [PERIOD]
dishonest [IMPLY] strange [PERIOD]
wandering [IMPLY] condemned [PERIOD]
calm [IMPLY] scared [PERIOD]
clean [IMPLY] calm [PERIOD]
scared [AND] inquisitive [AND] crowded [IMPLY] spotless [PERIOD]
dishonest [AND] frail [IMPLY] wandering [PERIOD]
clean [IMPLY] intellectual [PERIOD]
frail [IMPLY] plain [PERIOD]
diplomatic [IMPLY] charming [PERIOD]
dishonest [AND] busy [IMPLY] wrong [PERIOD]
muddy [AND] calm [IMPLY] joyous [PERIOD]
uptight [AND] supportive [IMPLY] strange [PERIOD]
busy [IMPLY] bright [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   loving ⇒ condemned
   Cannot apply rule “mysterious ∧ attentive ∧ condemned ⇒ supportive” because missing: attentive.
   loving ⇒ condemned
   condemned ⇒ charming
   Cannot apply rule “uptight ∧ charming ∧ diplomatic ⇒ supportive” because missing: diplomatic.
",0,5
"Facts:  Alice is talkative [PERIOD] Alice is friendly [PERIOD]
Rules:
bossy [AND] witty [AND] adorable [IMPLY] attractive [PERIOD]
serious [AND] elated [AND] condemned [IMPLY] bossy [PERIOD]
talkative [IMPLY] attractive [PERIOD]
condemned [AND] ugly [AND] perfect [IMPLY] serious [PERIOD]
adorable [AND] cruel [IMPLY] friendly [PERIOD]
witty [IMPLY] attractive [PERIOD]
friendly [AND] frightened [AND] outrageous [IMPLY] clean [PERIOD]
serious [AND] cruel [IMPLY] attractive [PERIOD]
clean [AND] frightened [AND] serious [IMPLY] condemned [PERIOD]
friendly [AND] bossy [IMPLY] attractive [PERIOD]
outrageous [AND] adorable [AND] frightened [IMPLY] friendly [PERIOD]
ugly [AND] attractive [IMPLY] adorable [PERIOD]
perfect [IMPLY] serious [PERIOD]
elated [AND] ugly [AND] perfect [IMPLY] friendly [PERIOD]
talkative [AND] adorable [AND] cruel [IMPLY] perfect [PERIOD]
ugly [IMPLY] condemned [PERIOD]
serious [AND] ugly [AND] clean [IMPLY] friendly [PERIOD]
talkative [IMPLY] ugly [PERIOD]
perfect [AND] adorable [IMPLY] clean [PERIOD]
frightened [AND] sleepy [IMPLY] clean [PERIOD]
witty [AND] attractive [AND] serious [IMPLY] ugly [PERIOD]
cruel [AND] outrageous [IMPLY] sleepy [PERIOD]
adorable [AND] friendly [AND] witty [IMPLY] perfect [PERIOD]
elated [AND] bossy [AND] perfect [IMPLY] cruel [PERIOD]
condemned [IMPLY] talkative [PERIOD]
attractive [IMPLY] adorable [PERIOD]
cruel [IMPLY] adorable [PERIOD]
frightened [AND] friendly [IMPLY] serious [PERIOD]
serious [AND] attractive [AND] elated [IMPLY] witty [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   talkative ⇒ ugly
   ugly ⇒ condemned
   talkative ⇒ ugly
   Cannot apply rule “condemned ∧ ugly ∧ perfect ⇒ serious” because missing: perfect.
   Cannot apply rule “perfect ⇒ serious” because missing: perfect.
   Cannot apply rule “frightened ∧ friendly ⇒ serious” because missing: frightened.
",0,6
"Facts:  Alice is nervous [PERIOD]
Rules:
broad-minded [IMPLY] victorious [PERIOD]
powerful [AND] bored [AND] ambitious [IMPLY] worried [PERIOD]
wandering [AND] ugliest [AND] courageous [IMPLY] strange [PERIOD]
serious [AND] weary [AND] loving [IMPLY] ugliest [PERIOD]
bright [AND] exuberant [IMPLY] strange [PERIOD]
wandering [IMPLY] ambitious [PERIOD]
bright [AND] nervous [AND] loving [IMPLY] wandering [PERIOD]
ambitious [AND] weary [AND] ugliest [IMPLY] strange [PERIOD]
wrong [AND] helpful [IMPLY] courageous [PERIOD]
serious [AND] helpful [IMPLY] broad-minded [PERIOD]
nervous [AND] broad-minded [IMPLY] victorious [PERIOD]
strange [AND] victorious [AND] wandering [IMPLY] broad-minded [PERIOD]
wrong [IMPLY] alert [PERIOD]
powerful [AND] wandering [IMPLY] strange [PERIOD]
serious [AND] powerful [IMPLY] ugliest [PERIOD]
nervous [IMPLY] fragile [PERIOD]
ugliest [IMPLY] strange [PERIOD]
broad-minded [AND] bright [IMPLY] wandering [PERIOD]
fragile [AND] alert [AND] serious [IMPLY] broad-minded [PERIOD]
wrong [AND] thoughtful [AND] fragile [IMPLY] worried [PERIOD]
ambitious [AND] courageous [AND] powerful [IMPLY] different [PERIOD]
helpful [AND] wandering [AND] different [IMPLY] fragile [PERIOD]
helpful [AND] wrong [IMPLY] thoughtful [PERIOD]
powerful [AND] wrong [AND] courageous [IMPLY] victorious [PERIOD]
foolish [AND] mean [AND] worried [IMPLY] different [PERIOD]
ugliest [IMPLY] courageous [PERIOD]
victorious [AND] powerful [AND] different [IMPLY] wandering [PERIOD]
wandering [IMPLY] helpful [PERIOD]
ambitious [AND] helpful [AND] victorious [IMPLY] broad-minded [PERIOD]
broad-minded [AND] strange [AND] weary [IMPLY] worried [PERIOD]
strange [IMPLY] charming [PERIOD]
alert [AND] strange [AND] foolish [IMPLY] fragile [PERIOD]
mean [IMPLY] broad-minded [PERIOD]
weary [IMPLY] ugliest [PERIOD]
exuberant [AND] strange [IMPLY] victorious [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ⇒ victorious” because missing: broad-minded.
   Cannot apply rule “nervous ∧ broad-minded ⇒ victorious” because missing: broad-minded.
   Cannot apply rule “powerful ∧ wrong ∧ courageous ⇒ victorious” because missing: powerful, wrong, courageous.
   Cannot apply rule “exuberant ∧ strange ⇒ victorious” because missing: exuberant, strange.
",0,4
"Facts:  Alice is scared [PERIOD] Alice is dull [PERIOD]
Rules:
dull [AND] pleasant [AND] supportive [IMPLY] popular [PERIOD]
pleasant [IMPLY] jittery [PERIOD]
popular [AND] pleasant [IMPLY] dull [PERIOD]
condemned [AND] scared [IMPLY] courageous [PERIOD]
courageous [IMPLY] scared [PERIOD]
scared [AND] pleasant [AND] jittery [IMPLY] condemned [PERIOD]
supportive [AND] pleasant [IMPLY] scared [PERIOD]
dull [AND] supportive [AND] pleasant [IMPLY] courageous [PERIOD]
jittery [AND] courageous [IMPLY] scared [PERIOD]
condemned [IMPLY] supportive [PERIOD]
scared [IMPLY] condemned [PERIOD]
courageous [AND] jittery [IMPLY] dull [PERIOD]
supportive [AND] pleasant [IMPLY] condemned [PERIOD]
jittery [AND] scared [IMPLY] pleasant [PERIOD]
popular [AND] supportive [IMPLY] pleasant [PERIOD]
jittery [IMPLY] courageous [PERIOD]
scared [IMPLY] dull [PERIOD]
condemned [IMPLY] courageous [PERIOD]
supportive [AND] courageous [IMPLY] scared [PERIOD]
condemned [AND] supportive [AND] dull [IMPLY] pleasant [PERIOD]
condemned [AND] popular [AND] pleasant [IMPLY] scared [PERIOD]
pleasant [AND] dull [AND] courageous [IMPLY] popular [PERIOD]
supportive [AND] courageous [AND] scared [IMPLY] jittery [PERIOD]
jittery [IMPLY] supportive [PERIOD]
courageous [AND] scared [AND] dull [IMPLY] condemned [PERIOD]
dull [IMPLY] supportive [PERIOD]
supportive [AND] jittery [AND] dull [IMPLY] condemned [PERIOD]
scared [AND] courageous [IMPLY] pleasant [PERIOD]
courageous [AND] pleasant [IMPLY] scared [PERIOD]
popular [IMPLY] pleasant [PERIOD]
jittery [IMPLY] condemned [PERIOD]
Query: Alice is popular [PERIOD]","Proof chain:
   scared ⇒ condemned
   dull ⇒ supportive
   condemned ∧ supportive ∧ dull ⇒ pleasant
   dull ⇒ supportive
   dull ∧ pleasant ∧ supportive ⇒ popular
",1,5
"Facts: 
Rules:
selfish [AND] excited [AND] grumpy [IMPLY] gorgeous [PERIOD]
foolish [AND] intellectual [AND] hilarious [IMPLY] ugly [PERIOD]
reserved [AND] weary [IMPLY] foolish [PERIOD]
shy [AND] hilarious [AND] reserved [IMPLY] cruel [PERIOD]
sensible [AND] weary [AND] different [IMPLY] gorgeous [PERIOD]
shy [AND] intellectual [AND] different [IMPLY] gifted [PERIOD]
reserved [IMPLY] difficult [PERIOD]
hilarious [AND] gifted [AND] difficult [IMPLY] rational [PERIOD]
different [IMPLY] popular [PERIOD]
sensible [AND] foolish [IMPLY] reserved [PERIOD]
hilarious [AND] friendly [AND] inexpensive [IMPLY] foolish [PERIOD]
friendly [IMPLY] reserved [PERIOD]
disgusted [AND] foolish [AND] inexpensive [IMPLY] shy [PERIOD]
different [AND] clean [AND] weary [IMPLY] straightforward [PERIOD]
weary [IMPLY] uptight [PERIOD]
disgusted [AND] selfish [IMPLY] sensible [PERIOD]
clean [AND] popular [AND] busy [IMPLY] straightforward [PERIOD]
different [AND] foolish [AND] popular [IMPLY] friendly [PERIOD]
different [AND] weary [IMPLY] busy [PERIOD]
stormy [AND] popular [AND] grumpy [IMPLY] different [PERIOD]
friendly [AND] weary [AND] stormy [IMPLY] cruel [PERIOD]
intellectual [AND] gifted [AND] stormy [IMPLY] clean [PERIOD]
different [AND] grumpy [AND] popular [IMPLY] selfish [PERIOD]
straightforward [IMPLY] intellectual [PERIOD]
gifted [AND] busy [IMPLY] rational [PERIOD]
sensible [AND] difficult [AND] uptight [IMPLY] clean [PERIOD]
sensible [IMPLY] busy [PERIOD]
cruel [IMPLY] different [PERIOD]
difficult [AND] friendly [AND] popular [IMPLY] disgusted [PERIOD]
hilarious [AND] excited [IMPLY] different [PERIOD]
stormy [AND] difficult [AND] gorgeous [IMPLY] ugly [PERIOD]
uptight [AND] ugly [AND] disgusted [IMPLY] hilarious [PERIOD]
foolish [AND] cruel [AND] weary [IMPLY] straightforward [PERIOD]
excited [AND] foolish [IMPLY] uptight [PERIOD]
straightforward [IMPLY] different [PERIOD]
selfish [AND] shy [AND] excited [IMPLY] busy [PERIOD]
selfish [IMPLY] straightforward [PERIOD]
friendly [IMPLY] busy [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   Cannot apply rule “different ∧ clean ∧ weary ⇒ straightforward” because missing: different, clean, weary.
   Cannot apply rule “clean ∧ popular ∧ busy ⇒ straightforward” because missing: clean, popular, busy.
   Cannot apply rule “foolish ∧ cruel ∧ weary ⇒ straightforward” because missing: foolish, cruel, weary.
   Cannot apply rule “selfish ⇒ straightforward” because missing: selfish.
",0,4
"Facts: 
Rules:
glamorous [AND] powerful [AND] intellectual [IMPLY] cruel [PERIOD]
cruel [IMPLY] straightforward [PERIOD]
exuberant [AND] cruel [AND] crowded [IMPLY] powerful [PERIOD]
cruel [IMPLY] tidy [PERIOD]
cruel [AND] inexpensive [AND] exuberant [IMPLY] broad-minded [PERIOD]
tidy [AND] exuberant [AND] powerful [IMPLY] straightforward [PERIOD]
exuberant [AND] glamorous [AND] cruel [IMPLY] smart [PERIOD]
shy [AND] exuberant [IMPLY] powerful [PERIOD]
glamorous [AND] powerful [IMPLY] broad-minded [PERIOD]
broad-minded [AND] inexpensive [AND] smart [IMPLY] shy [PERIOD]
crowded [AND] smart [IMPLY] straightforward [PERIOD]
shy [AND] powerful [AND] broad-minded [IMPLY] cruel [PERIOD]
broad-minded [AND] powerful [IMPLY] shy [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ∧ inexpensive ∧ smart ⇒ shy” because missing: broad-minded, inexpensive, smart.
   Cannot apply rule “broad-minded ∧ powerful ⇒ shy” because missing: broad-minded, powerful.
",0,2
"Facts:  Alice is precious [PERIOD] Alice is jittery [PERIOD] Alice is cute [PERIOD] Alice is popular [PERIOD] Alice is tense [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
diplomatic [IMPLY] popular [PERIOD]
popular [IMPLY] easy [PERIOD]
wide-eyed [AND] joyous [IMPLY] diplomatic [PERIOD]
stubborn [IMPLY] fine [PERIOD]
cooperative [IMPLY] cute [PERIOD]
jittery [AND] precious [AND] wide-eyed [IMPLY] easy [PERIOD]
wide-eyed [AND] hilarious [IMPLY] precious [PERIOD]
joyous [IMPLY] troubled [PERIOD]
wide-eyed [IMPLY] hilarious [PERIOD]
wide-eyed [AND] cute [IMPLY] easy [PERIOD]
diplomatic [IMPLY] troubled [PERIOD]
wide-eyed [AND] tense [AND] old-fashioned [IMPLY] joyous [PERIOD]
easy [AND] bored [IMPLY] wide-eyed [PERIOD]
fine [AND] cooperative [AND] bored [IMPLY] old-fashioned [PERIOD]
bored [AND] precious [AND] diplomatic [IMPLY] troubled [PERIOD]
wide-eyed [AND] cooperative [AND] diplomatic [IMPLY] tense [PERIOD]
popular [AND] troubled [AND] tense [IMPLY] stubborn [PERIOD]
tense [AND] hilarious [IMPLY] easy [PERIOD]
precious [AND] stubborn [IMPLY] old-fashioned [PERIOD]
joyous [IMPLY] jittery [PERIOD]
fine [IMPLY] troubled [PERIOD]
easy [AND] diplomatic [IMPLY] jittery [PERIOD]
popular [AND] hilarious [AND] fine [IMPLY] easy [PERIOD]
cute [AND] fine [AND] easy [IMPLY] wide-eyed [PERIOD]
cute [IMPLY] precious [PERIOD]
joyous [AND] bored [AND] precious [IMPLY] fine [PERIOD]
tense [AND] wide-eyed [AND] bored [IMPLY] easy [PERIOD]
hilarious [AND] popular [IMPLY] old-fashioned [PERIOD]
fine [IMPLY] wide-eyed [PERIOD]
fine [IMPLY] stubborn [PERIOD]
troubled [AND] cute [AND] old-fashioned [IMPLY] jittery [PERIOD]
diplomatic [IMPLY] bored [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   Cannot apply rule “joyous ⇒ troubled” because missing: joyous.
   Cannot apply rule “diplomatic ⇒ troubled” because missing: diplomatic.
   Cannot apply rule “bored ∧ precious ∧ diplomatic ⇒ troubled” because missing: bored, diplomatic.
   Cannot apply rule “fine ⇒ troubled” because missing: fine.
",0,4
"Facts: 
Rules:
excited [AND] light [IMPLY] fragile [PERIOD]
sincere [AND] light [AND] spotless [IMPLY] fragile [PERIOD]
spotless [AND] sincere [IMPLY] excited [PERIOD]
light [AND] alert [AND] excited [IMPLY] spotless [PERIOD]
fragile [AND] excited [AND] sincere [IMPLY] light [PERIOD]
light [AND] spotless [AND] excited [IMPLY] fragile [PERIOD]
light [AND] spotless [IMPLY] excited [PERIOD]
fragile [AND] spotless [AND] light [IMPLY] sincere [PERIOD]
light [IMPLY] excited [PERIOD]
sincere [AND] alert [AND] light [IMPLY] fragile [PERIOD]
light [AND] alert [IMPLY] sincere [PERIOD]
alert [AND] fragile [AND] sincere [IMPLY] light [PERIOD]
excited [AND] alert [IMPLY] fragile [PERIOD]
fragile [AND] alert [AND] sincere [IMPLY] excited [PERIOD]
excited [AND] spotless [AND] alert [IMPLY] sincere [PERIOD]
alert [AND] sincere [IMPLY] spotless [PERIOD]
excited [AND] fragile [AND] sincere [IMPLY] alert [PERIOD]
fragile [AND] spotless [IMPLY] alert [PERIOD]
sincere [AND] fragile [IMPLY] alert [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   Cannot apply rule “excited ∧ light ⇒ fragile” because missing: excited, light.
   Cannot apply rule “sincere ∧ light ∧ spotless ⇒ fragile” because missing: sincere, light, spotless.
   Cannot apply rule “light ∧ spotless ∧ excited ⇒ fragile” because missing: light, spotless, excited.
   Cannot apply rule “sincere ∧ alert ∧ light ⇒ fragile” because missing: sincere, alert, light.
   Cannot apply rule “excited ∧ alert ⇒ fragile” because missing: excited, alert.
",0,5
"Facts:  Alice is tidy [PERIOD] Alice is easy [PERIOD] Alice is gifted [PERIOD] Alice is embarrassed [PERIOD] Alice is strange [PERIOD] Alice is elegant [PERIOD] Alice is nervous [PERIOD] Alice is impartial [PERIOD]
Rules:
grumpy [IMPLY] scared [PERIOD]
zealous [AND] fearless [AND] wandering [IMPLY] proud [PERIOD]
proud [AND] easy [IMPLY] wandering [PERIOD]
zealous [IMPLY] gorgeous [PERIOD]
easy [AND] embarrassed [AND] frail [IMPLY] elegant [PERIOD]
zealous [AND] diplomatic [AND] wandering [IMPLY] tidy [PERIOD]
nervous [IMPLY] frail [PERIOD]
gorgeous [IMPLY] zealous [PERIOD]
hilarious [IMPLY] impartial [PERIOD]
impartial [AND] elegant [AND] hilarious [IMPLY] easy [PERIOD]
comfortable [IMPLY] fearless [PERIOD]
weary [AND] frail [IMPLY] comfortable [PERIOD]
innocent [IMPLY] comfortable [PERIOD]
outrageous [AND] innocent [IMPLY] frail [PERIOD]
crowded [AND] tidy [IMPLY] gorgeous [PERIOD]
hilarious [IMPLY] wandering [PERIOD]
comfortable [IMPLY] frail [PERIOD]
weary [IMPLY] horrible [PERIOD]
fearless [IMPLY] tidy [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   Cannot apply rule “proud ∧ easy ⇒ wandering” because missing: proud.
   Cannot apply rule “hilarious ⇒ wandering” because missing: hilarious.
",0,2
"Facts:  Alice is witty [PERIOD] Alice is average [PERIOD] Alice is glamorous [PERIOD]
Rules:
reserved [AND] average [AND] lucky [IMPLY] powerful [PERIOD]
tender [AND] charming [AND] average [IMPLY] witty [PERIOD]
foolish [AND] naughty [AND] crowded [IMPLY] mean [PERIOD]
difficult [AND] crowded [IMPLY] fragile [PERIOD]
charming [IMPLY] fragile [PERIOD]
reserved [AND] lucky [IMPLY] crowded [PERIOD]
fragile [AND] courageous [AND] fancy [IMPLY] powerful [PERIOD]
average [AND] fragile [AND] frantic [IMPLY] perfect [PERIOD]
perfect [AND] average [IMPLY] naughty [PERIOD]
glamorous [AND] average [AND] fragile [IMPLY] frantic [PERIOD]
fancy [AND] tame [IMPLY] bossy [PERIOD]
frantic [IMPLY] perfect [PERIOD]
frantic [AND] careless [IMPLY] glamorous [PERIOD]
difficult [IMPLY] fancy [PERIOD]
witty [AND] careless [IMPLY] perfect [PERIOD]
mean [AND] crowded [IMPLY] powerful [PERIOD]
charming [IMPLY] courageous [PERIOD]
versatile [AND] witty [AND] foolish [IMPLY] thoughtless [PERIOD]
versatile [AND] average [AND] crowded [IMPLY] careless [PERIOD]
foolish [AND] fragile [IMPLY] perfect [PERIOD]
glamorous [AND] powerful [AND] careless [IMPLY] tender [PERIOD]
difficult [AND] bossy [AND] frantic [IMPLY] mean [PERIOD]
bossy [AND] average [IMPLY] charming [PERIOD]
bossy [AND] reserved [AND] tame [IMPLY] foolish [PERIOD]
powerful [AND] talented [AND] courageous [IMPLY] foolish [PERIOD]
tame [IMPLY] talented [PERIOD]
courageous [AND] witty [IMPLY] charming [PERIOD]
charming [AND] reserved [IMPLY] lucky [PERIOD]
bossy [AND] perfect [AND] charming [IMPLY] fragile [PERIOD]
thoughtless [AND] glamorous [IMPLY] charming [PERIOD]
powerful [AND] fancy [AND] thoughtless [IMPLY] fragile [PERIOD]
versatile [AND] difficult [IMPLY] fragile [PERIOD]
bossy [AND] mean [AND] tame [IMPLY] versatile [PERIOD]
bossy [IMPLY] fragile [PERIOD]
tender [AND] versatile [IMPLY] thoughtless [PERIOD]
frantic [IMPLY] crowded [PERIOD]
fragile [AND] bossy [IMPLY] glamorous [PERIOD]
thoughtless [AND] versatile [AND] foolish [IMPLY] reserved [PERIOD]
talented [AND] frantic [AND] careless [IMPLY] witty [PERIOD]
perfect [AND] foolish [IMPLY] fragile [PERIOD]
fancy [AND] powerful [IMPLY] witty [PERIOD]
fancy [IMPLY] lucky [PERIOD]
average [AND] talented [IMPLY] bossy [PERIOD]
thoughtless [IMPLY] fancy [PERIOD]
talented [AND] naughty [IMPLY] average [PERIOD]
difficult [AND] tame [IMPLY] naughty [PERIOD]
reserved [AND] talented [AND] difficult [IMPLY] charming [PERIOD]
lucky [IMPLY] careless [PERIOD]
tame [IMPLY] perfect [PERIOD]
perfect [AND] lucky [IMPLY] difficult [PERIOD]
fancy [IMPLY] tame [PERIOD]
crowded [AND] tender [IMPLY] perfect [PERIOD]
lucky [AND] mean [AND] careless [IMPLY] naughty [PERIOD]
frantic [IMPLY] powerful [PERIOD]
courageous [AND] frantic [IMPLY] tame [PERIOD]
versatile [AND] careless [AND] witty [IMPLY] reserved [PERIOD]
tame [AND] charming [AND] perfect [IMPLY] tender [PERIOD]
glamorous [AND] powerful [IMPLY] tame [PERIOD]
talented [IMPLY] courageous [PERIOD]
frantic [AND] thoughtless [AND] reserved [IMPLY] perfect [PERIOD]
powerful [IMPLY] fancy [PERIOD]
powerful [IMPLY] foolish [PERIOD]
versatile [IMPLY] courageous [PERIOD]
talented [AND] average [IMPLY] courageous [PERIOD]
mean [IMPLY] lucky [PERIOD]
witty [AND] powerful [IMPLY] fragile [PERIOD]
average [AND] reserved [AND] glamorous [IMPLY] fragile [PERIOD]
glamorous [IMPLY] bossy [PERIOD]
frantic [IMPLY] careless [PERIOD]
powerful [AND] versatile [AND] tame [IMPLY] average [PERIOD]
thoughtless [AND] mean [AND] crowded [IMPLY] talented [PERIOD]
thoughtless [AND] naughty [IMPLY] frantic [PERIOD]
witty [AND] fragile [AND] naughty [IMPLY] reserved [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   glamorous ⇒ bossy
   bossy ⇒ fragile
   glamorous ⇒ bossy
   bossy ⇒ fragile
   glamorous ∧ average ∧ fragile ⇒ frantic
   average ∧ fragile ∧ frantic ⇒ perfect
   perfect ∧ average ⇒ naughty
",1,7
"Facts: 
Rules:
attentive [IMPLY] shiny [PERIOD]
foolish [IMPLY] shiny [PERIOD]
foolish [AND] unpleasant [AND] clean [IMPLY] muddy [PERIOD]
alert [IMPLY] shiny [PERIOD]
attentive [AND] clean [AND] alert [IMPLY] muddy [PERIOD]
clean [AND] shiny [AND] rude [IMPLY] muddy [PERIOD]
unpleasant [AND] outrageous [AND] muddy [IMPLY] shiny [PERIOD]
shiny [AND] attentive [AND] spotless [IMPLY] muddy [PERIOD]
foolish [AND] spotless [IMPLY] shiny [PERIOD]
spotless [AND] muddy [IMPLY] unpleasant [PERIOD]
alert [AND] shiny [AND] clean [IMPLY] spotless [PERIOD]
alert [IMPLY] rude [PERIOD]
shiny [AND] alert [AND] outrageous [IMPLY] attentive [PERIOD]
clean [IMPLY] rude [PERIOD]
alert [AND] attentive [AND] shiny [IMPLY] outrageous [PERIOD]
muddy [AND] shiny [AND] alert [IMPLY] foolish [PERIOD]
spotless [AND] rude [IMPLY] clean [PERIOD]
shiny [AND] rude [AND] foolish [IMPLY] unpleasant [PERIOD]
outrageous [AND] alert [IMPLY] shiny [PERIOD]
attentive [IMPLY] outrageous [PERIOD]
unpleasant [AND] shiny [IMPLY] alert [PERIOD]
muddy [AND] outrageous [AND] spotless [IMPLY] clean [PERIOD]
foolish [AND] muddy [IMPLY] alert [PERIOD]
clean [AND] rude [AND] shiny [IMPLY] alert [PERIOD]
rude [AND] shiny [AND] muddy [IMPLY] clean [PERIOD]
outrageous [AND] muddy [IMPLY] alert [PERIOD]
foolish [AND] rude [IMPLY] attentive [PERIOD]
outrageous [AND] muddy [IMPLY] foolish [PERIOD]
foolish [AND] clean [IMPLY] outrageous [PERIOD]
foolish [AND] spotless [AND] attentive [IMPLY] shiny [PERIOD]
attentive [AND] alert [AND] clean [IMPLY] spotless [PERIOD]
outrageous [AND] unpleasant [IMPLY] alert [PERIOD]
shiny [AND] foolish [AND] rude [IMPLY] clean [PERIOD]
unpleasant [AND] rude [AND] clean [IMPLY] foolish [PERIOD]
foolish [IMPLY] outrageous [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   Cannot apply rule “unpleasant ∧ shiny ⇒ alert” because missing: unpleasant, shiny.
   Cannot apply rule “foolish ∧ muddy ⇒ alert” because missing: foolish, muddy.
   Cannot apply rule “clean ∧ rude ∧ shiny ⇒ alert” because missing: clean, rude, shiny.
   Cannot apply rule “outrageous ∧ muddy ⇒ alert” because missing: outrageous, muddy.
   Cannot apply rule “outrageous ∧ unpleasant ⇒ alert” because missing: outrageous, unpleasant.
",0,5
"Facts: 
Rules:
rational [AND] dull [IMPLY] helpful [PERIOD]
stupid [AND] helpful [IMPLY] dull [PERIOD]
stupid [AND] shy [IMPLY] rational [PERIOD]
innocent [AND] tidy [IMPLY] strange [PERIOD]
aggressive [AND] frail [IMPLY] shy [PERIOD]
aggressive [AND] uptight [IMPLY] beautiful [PERIOD]
impatient [AND] aggressive [AND] bad-tempered [IMPLY] talkative [PERIOD]
grumpy [IMPLY] tidy [PERIOD]
different [AND] aggressive [IMPLY] shy [PERIOD]
fine [IMPLY] strange [PERIOD]
clumsy [IMPLY] stupid [PERIOD]
light [AND] beautiful [AND] aggressive [IMPLY] stupid [PERIOD]
excited [IMPLY] tidy [PERIOD]
aggressive [AND] loving [IMPLY] dull [PERIOD]
frail [IMPLY] difficult [PERIOD]
proud [AND] light [AND] uptight [IMPLY] shy [PERIOD]
uptight [AND] impatient [IMPLY] excited [PERIOD]
shy [AND] different [AND] proud [IMPLY] uptight [PERIOD]
beautiful [IMPLY] smart [PERIOD]
grumpy [AND] thoughtful [IMPLY] innocent [PERIOD]
talkative [AND] uptight [IMPLY] thoughtful [PERIOD]
stubborn [AND] helpful [IMPLY] frail [PERIOD]
different [AND] clumsy [AND] talkative [IMPLY] stupid [PERIOD]
aggressive [AND] innocent [AND] stupid [IMPLY] grumpy [PERIOD]
strange [AND] aggressive [IMPLY] smart [PERIOD]
disobedient [IMPLY] dull [PERIOD]
helpful [AND] stubborn [AND] talkative [IMPLY] light [PERIOD]
different [IMPLY] innocent [PERIOD]
uptight [AND] clumsy [IMPLY] shy [PERIOD]
excited [AND] tidy [IMPLY] dull [PERIOD]
aggressive [AND] frail [AND] stubborn [IMPLY] fine [PERIOD]
shy [AND] stubborn [IMPLY] loving [PERIOD]
helpful [IMPLY] aggressive [PERIOD]
stupid [IMPLY] fine [PERIOD]
innocent [AND] thoughtful [AND] bad-tempered [IMPLY] grumpy [PERIOD]
frail [AND] loving [AND] proud [IMPLY] strange [PERIOD]
talkative [AND] loving [IMPLY] proud [PERIOD]
talkative [IMPLY] innocent [PERIOD]
loving [AND] difficult [IMPLY] aggressive [PERIOD]
smart [AND] stupid [AND] helpful [IMPLY] disobedient [PERIOD]
uptight [AND] helpful [AND] proud [IMPLY] bad-tempered [PERIOD]
different [AND] light [AND] uptight [IMPLY] talkative [PERIOD]
talkative [AND] difficult [IMPLY] fine [PERIOD]
aggressive [AND] frail [IMPLY] talkative [PERIOD]
proud [IMPLY] strange [PERIOD]
smart [AND] proud [AND] thoughtful [IMPLY] clumsy [PERIOD]
shy [AND] impatient [AND] fine [IMPLY] strange [PERIOD]
strange [IMPLY] helpful [PERIOD]
loving [AND] stupid [AND] thoughtful [IMPLY] smart [PERIOD]
bad-tempered [AND] talkative [IMPLY] stupid [PERIOD]
proud [AND] light [IMPLY] dull [PERIOD]
uptight [AND] fine [IMPLY] thoughtful [PERIOD]
strange [IMPLY] shy [PERIOD]
clumsy [AND] excited [IMPLY] stubborn [PERIOD]
helpful [AND] grumpy [IMPLY] tidy [PERIOD]
clumsy [IMPLY] talkative [PERIOD]
difficult [AND] stupid [AND] thoughtful [IMPLY] frail [PERIOD]
uptight [AND] beautiful [IMPLY] frail [PERIOD]
loving [AND] fine [IMPLY] proud [PERIOD]
helpful [AND] clumsy [IMPLY] excited [PERIOD]
stubborn [IMPLY] excited [PERIOD]
bad-tempered [IMPLY] uptight [PERIOD]
helpful [AND] grumpy [IMPLY] thoughtful [PERIOD]
fine [AND] strange [AND] light [IMPLY] disobedient [PERIOD]
excited [AND] bad-tempered [IMPLY] frail [PERIOD]
bad-tempered [AND] dull [IMPLY] excited [PERIOD]
strange [AND] smart [AND] difficult [IMPLY] grumpy [PERIOD]
difficult [AND] stubborn [IMPLY] stupid [PERIOD]
dull [IMPLY] aggressive [PERIOD]
uptight [AND] aggressive [AND] light [IMPLY] frail [PERIOD]
disobedient [AND] smart [AND] light [IMPLY] rational [PERIOD]
grumpy [IMPLY] uptight [PERIOD]
shy [IMPLY] bad-tempered [PERIOD]
thoughtful [AND] different [AND] rational [IMPLY] bad-tempered [PERIOD]
rational [AND] smart [AND] helpful [IMPLY] grumpy [PERIOD]
aggressive [AND] impatient [IMPLY] talkative [PERIOD]
light [IMPLY] tidy [PERIOD]
tidy [IMPLY] difficult [PERIOD]
talkative [AND] stubborn [IMPLY] difficult [PERIOD]
stubborn [AND] excited [IMPLY] aggressive [PERIOD]
stubborn [AND] bad-tempered [AND] thoughtful [IMPLY] tidy [PERIOD]
strange [AND] bad-tempered [AND] dull [IMPLY] clumsy [PERIOD]
uptight [AND] rational [IMPLY] different [PERIOD]
smart [AND] clumsy [AND] helpful [IMPLY] grumpy [PERIOD]
fine [AND] light [AND] stupid [IMPLY] helpful [PERIOD]
bad-tempered [AND] smart [AND] difficult [IMPLY] beautiful [PERIOD]
beautiful [AND] strange [AND] difficult [IMPLY] frail [PERIOD]
strange [AND] uptight [IMPLY] bad-tempered [PERIOD]
disobedient [AND] helpful [AND] excited [IMPLY] aggressive [PERIOD]
proud [AND] dull [IMPLY] rational [PERIOD]
stupid [IMPLY] talkative [PERIOD]
clumsy [IMPLY] frail [PERIOD]
innocent [IMPLY] fine [PERIOD]
loving [AND] disobedient [AND] shy [IMPLY] proud [PERIOD]
innocent [AND] uptight [IMPLY] light [PERIOD]
grumpy [IMPLY] different [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “impatient ∧ aggressive ∧ bad-tempered ⇒ talkative” because missing: impatient, aggressive, bad-tempered.
   Cannot apply rule “different ∧ light ∧ uptight ⇒ talkative” because missing: different, light, uptight.
   Cannot apply rule “aggressive ∧ frail ⇒ talkative” because missing: aggressive, frail.
   Cannot apply rule “clumsy ⇒ talkative” because missing: clumsy.
   Cannot apply rule “aggressive ∧ impatient ⇒ talkative” because missing: aggressive, impatient.
   Cannot apply rule “stupid ⇒ talkative” because missing: stupid.
",0,6
"Facts:  Alice is spotless [PERIOD] Alice is aggressive [PERIOD] Alice is frantic [PERIOD] Alice is excited [PERIOD] Alice is hurt [PERIOD] Alice is frail [PERIOD] Alice is mysterious [PERIOD] Alice is calm [PERIOD] Alice is confused [PERIOD]
Rules:
busy [IMPLY] modern [PERIOD]
talented [IMPLY] confused [PERIOD]
pessimistic [AND] strange [AND] disobedient [IMPLY] reserved [PERIOD]
attentive [AND] silly [AND] bad-tempered [IMPLY] proud [PERIOD]
hurt [AND] attractive [AND] bored [IMPLY] excited [PERIOD]
hurt [AND] silly [AND] tender [IMPLY] modern [PERIOD]
mysterious [AND] tender [IMPLY] precious [PERIOD]
horrible [AND] precious [IMPLY] mysterious [PERIOD]
modern [AND] calm [IMPLY] frantic [PERIOD]
mysterious [AND] tender [AND] silly [IMPLY] calm [PERIOD]
calm [IMPLY] attractive [PERIOD]
frantic [AND] aggressive [AND] attractive [IMPLY] hurt [PERIOD]
disobedient [AND] busy [IMPLY] hurt [PERIOD]
modern [AND] bored [IMPLY] reserved [PERIOD]
attentive [IMPLY] disobedient [PERIOD]
tender [AND] smart [AND] confused [IMPLY] attractive [PERIOD]
mysterious [AND] confused [IMPLY] attractive [PERIOD]
confused [IMPLY] aggressive [PERIOD]
confused [AND] disgusted [AND] attentive [IMPLY] calm [PERIOD]
strange [AND] tender [AND] excited [IMPLY] disobedient [PERIOD]
mysterious [AND] disobedient [AND] reserved [IMPLY] attractive [PERIOD]
spotless [AND] silly [AND] aggressive [IMPLY] horrible [PERIOD]
attractive [AND] tender [IMPLY] talented [PERIOD]
aggressive [IMPLY] talented [PERIOD]
aggressive [AND] attentive [IMPLY] frail [PERIOD]
excited [AND] hurt [IMPLY] calm [PERIOD]
proud [AND] precious [AND] spotless [IMPLY] mysterious [PERIOD]
bored [AND] spotless [AND] hurt [IMPLY] bad-tempered [PERIOD]
proud [IMPLY] silly [PERIOD]
tender [IMPLY] bored [PERIOD]
proud [AND] smart [IMPLY] disobedient [PERIOD]
hurt [AND] bored [IMPLY] confused [PERIOD]
strange [IMPLY] calm [PERIOD]
bored [AND] disobedient [AND] talented [IMPLY] excited [PERIOD]
mysterious [AND] hurt [IMPLY] disobedient [PERIOD]
excited [AND] bored [IMPLY] busy [PERIOD]
frail [IMPLY] talented [PERIOD]
tender [IMPLY] smart [PERIOD]
confused [AND] excited [IMPLY] modern [PERIOD]
attractive [AND] disgusted [IMPLY] excited [PERIOD]
disgusted [AND] precious [AND] mysterious [IMPLY] tender [PERIOD]
calm [AND] hurt [AND] tender [IMPLY] horrible [PERIOD]
excited [AND] bored [IMPLY] mysterious [PERIOD]
confused [AND] silly [IMPLY] disgusted [PERIOD]
hurt [AND] busy [IMPLY] proud [PERIOD]
aggressive [IMPLY] tender [PERIOD]
excited [AND] silly [AND] strange [IMPLY] attractive [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is vivacious [PERIOD] Alice is quaint [PERIOD] Alice is shiny [PERIOD] Alice is broad-minded [PERIOD] Alice is fragile [PERIOD] Alice is agreeable [PERIOD] Alice is elated [PERIOD] Alice is impartial [PERIOD] Alice is worrisome [PERIOD] Alice is light [PERIOD] Alice is aggressive [PERIOD]
Rules:
quaint [AND] confident [AND] light [IMPLY] broad-minded [PERIOD]
impartial [IMPLY] quaint [PERIOD]
aggressive [IMPLY] light [PERIOD]
agreeable [IMPLY] quaint [PERIOD]
worrisome [AND] bossy [IMPLY] aggressive [PERIOD]
confident [AND] bossy [IMPLY] elated [PERIOD]
bossy [IMPLY] vivacious [PERIOD]
shiny [IMPLY] aggressive [PERIOD]
agreeable [IMPLY] fragile [PERIOD]
broad-minded [IMPLY] impartial [PERIOD]
broad-minded [AND] confident [AND] quaint [IMPLY] light [PERIOD]
agreeable [AND] shiny [IMPLY] elated [PERIOD]
bossy [AND] light [AND] elated [IMPLY] vivacious [PERIOD]
fragile [IMPLY] agreeable [PERIOD]
light [IMPLY] aggressive [PERIOD]
vivacious [IMPLY] shiny [PERIOD]
light [AND] broad-minded [AND] fragile [IMPLY] quaint [PERIOD]
elated [IMPLY] worrisome [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   No rule concludes “bossy.”
",0,1
"Facts:  Alice is easy [PERIOD] Alice is sensible [PERIOD] Alice is gifted [PERIOD] Alice is vivacious [PERIOD] Alice is worried [PERIOD] Alice is different [PERIOD] Alice is shiny [PERIOD] Alice is adorable [PERIOD] Alice is enchanting [PERIOD] Alice is cruel [PERIOD] Alice is reserved [PERIOD] Alice is nervous [PERIOD] Alice is zealous [PERIOD] Alice is ugliest [PERIOD] Alice is ambitious [PERIOD]
Rules:
adorable [AND] stupid [IMPLY] condemned [PERIOD]
nervous [IMPLY] tender [PERIOD]
smart [AND] sensible [IMPLY] reserved [PERIOD]
vivacious [IMPLY] gifted [PERIOD]
hilarious [IMPLY] zealous [PERIOD]
adorable [AND] witty [AND] tender [IMPLY] reserved [PERIOD]
hypocritical [AND] talented [AND] ambitious [IMPLY] enchanting [PERIOD]
condemned [AND] attentive [AND] perfect [IMPLY] talented [PERIOD]
perfect [IMPLY] sensible [PERIOD]
perfect [AND] condemned [AND] adorable [IMPLY] ugliest [PERIOD]
reserved [AND] easy [IMPLY] enchanting [PERIOD]
nervous [AND] sensible [AND] fine [IMPLY] hilarious [PERIOD]
talented [AND] nervous [IMPLY] fine [PERIOD]
tender [AND] ambitious [IMPLY] fine [PERIOD]
tender [IMPLY] hilarious [PERIOD]
different [AND] zealous [AND] vivacious [IMPLY] hypocritical [PERIOD]
vivacious [IMPLY] worried [PERIOD]
tender [AND] attentive [IMPLY] talented [PERIOD]
vivacious [AND] enchanting [AND] hilarious [IMPLY] talented [PERIOD]
zealous [AND] condemned [IMPLY] stupid [PERIOD]
ugliest [IMPLY] shiny [PERIOD]
nervous [AND] easy [AND] zealous [IMPLY] perfect [PERIOD]
ugliest [AND] adorable [IMPLY] fine [PERIOD]
hypocritical [IMPLY] gifted [PERIOD]
cruel [AND] sensible [IMPLY] ugliest [PERIOD]
hilarious [IMPLY] hypocritical [PERIOD]
sensible [AND] condemned [AND] gifted [IMPLY] shiny [PERIOD]
attentive [AND] different [IMPLY] stupid [PERIOD]
different [AND] easy [IMPLY] cruel [PERIOD]
smart [IMPLY] easy [PERIOD]
sensible [IMPLY] different [PERIOD]
condemned [IMPLY] reserved [PERIOD]
shiny [IMPLY] reserved [PERIOD]
witty [AND] perfect [AND] vivacious [IMPLY] nervous [PERIOD]
reserved [AND] attentive [AND] zealous [IMPLY] easy [PERIOD]
worried [IMPLY] tender [PERIOD]
worried [AND] hypocritical [AND] condemned [IMPLY] zealous [PERIOD]
nervous [AND] fine [IMPLY] reserved [PERIOD]
attentive [AND] hypocritical [AND] talented [IMPLY] enchanting [PERIOD]
condemned [AND] enchanting [AND] gifted [IMPLY] witty [PERIOD]
ambitious [AND] fine [AND] sensible [IMPLY] gifted [PERIOD]
attentive [IMPLY] perfect [PERIOD]
shiny [AND] different [IMPLY] hypocritical [PERIOD]
hypocritical [AND] nervous [AND] reserved [IMPLY] smart [PERIOD]
smart [IMPLY] perfect [PERIOD]
attentive [IMPLY] different [PERIOD]
fine [AND] reserved [IMPLY] easy [PERIOD]
stupid [IMPLY] cruel [PERIOD]
adorable [IMPLY] nervous [PERIOD]
nervous [IMPLY] worried [PERIOD]
worried [AND] gifted [IMPLY] sensible [PERIOD]
ambitious [AND] ugliest [AND] reserved [IMPLY] talented [PERIOD]
zealous [AND] hypocritical [IMPLY] shiny [PERIOD]
ugliest [AND] hilarious [IMPLY] gifted [PERIOD]
smart [AND] shiny [IMPLY] nervous [PERIOD]
hilarious [AND] perfect [IMPLY] adorable [PERIOD]
fine [IMPLY] perfect [PERIOD]
sensible [AND] adorable [AND] enchanting [IMPLY] reserved [PERIOD]
different [AND] cruel [AND] adorable [IMPLY] shiny [PERIOD]
cruel [AND] different [IMPLY] shiny [PERIOD]
shiny [IMPLY] worried [PERIOD]
fine [AND] adorable [AND] nervous [IMPLY] cruel [PERIOD]
gifted [AND] hypocritical [IMPLY] fine [PERIOD]
ugliest [AND] worried [IMPLY] different [PERIOD]
perfect [AND] gifted [AND] tender [IMPLY] ambitious [PERIOD]
reserved [IMPLY] perfect [PERIOD]
cruel [IMPLY] adorable [PERIOD]
ambitious [AND] attentive [IMPLY] gifted [PERIOD]
gifted [AND] perfect [AND] shiny [IMPLY] fine [PERIOD]
attentive [AND] vivacious [AND] cruel [IMPLY] ugliest [PERIOD]
witty [IMPLY] tender [PERIOD]
ambitious [AND] hypocritical [IMPLY] tender [PERIOD]
easy [AND] enchanting [IMPLY] worried [PERIOD]
worried [AND] talented [AND] sensible [IMPLY] witty [PERIOD]
tender [AND] fine [AND] adorable [IMPLY] different [PERIOD]
reserved [IMPLY] ugliest [PERIOD]
different [AND] condemned [IMPLY] witty [PERIOD]
vivacious [IMPLY] ambitious [PERIOD]
ambitious [AND] vivacious [IMPLY] cruel [PERIOD]
cruel [IMPLY] enchanting [PERIOD]
hypocritical [AND] easy [IMPLY] witty [PERIOD]
perfect [AND] different [AND] tender [IMPLY] enchanting [PERIOD]
shiny [AND] attentive [AND] worried [IMPLY] gifted [PERIOD]
ambitious [AND] different [AND] attentive [IMPLY] adorable [PERIOD]
condemned [AND] easy [AND] witty [IMPLY] perfect [PERIOD]
hypocritical [AND] tender [AND] easy [IMPLY] attentive [PERIOD]
ambitious [AND] zealous [IMPLY] enchanting [PERIOD]
nervous [AND] enchanting [IMPLY] hilarious [PERIOD]
cruel [AND] witty [AND] nervous [IMPLY] reserved [PERIOD]
perfect [IMPLY] different [PERIOD]
ambitious [IMPLY] condemned [PERIOD]
hilarious [IMPLY] reserved [PERIOD]
smart [AND] fine [AND] reserved [IMPLY] tender [PERIOD]
witty [IMPLY] gifted [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   ambitious ⇒ condemned
   condemned ∧ enchanting ∧ gifted ⇒ witty
",1,2
"Facts: 
Rules:
bad-tempered [IMPLY] excited [PERIOD]
stupid [IMPLY] reserved [PERIOD]
excited [AND] friendly [IMPLY] sincere [PERIOD]
sincere [IMPLY] excited [PERIOD]
horrible [AND] weary [AND] bad-tempered [IMPLY] light [PERIOD]
victorious [IMPLY] stupid [PERIOD]
friendly [IMPLY] sincere [PERIOD]
stupid [AND] tidy [AND] victorious [IMPLY] horrible [PERIOD]
alert [AND] stupid [AND] horrible [IMPLY] worried [PERIOD]
alert [AND] stormy [AND] light [IMPLY] distinct [PERIOD]
excited [AND] reserved [IMPLY] light [PERIOD]
tidy [AND] excited [AND] stormy [IMPLY] victorious [PERIOD]
weary [AND] horrible [IMPLY] distinct [PERIOD]
alert [IMPLY] horrible [PERIOD]
weary [IMPLY] sincere [PERIOD]
distinct [AND] bad-tempered [IMPLY] horrible [PERIOD]
victorious [AND] tidy [AND] excited [IMPLY] sincere [PERIOD]
stupid [AND] light [AND] bad-tempered [IMPLY] weary [PERIOD]
reserved [AND] friendly [IMPLY] bad-tempered [PERIOD]
reserved [IMPLY] stormy [PERIOD]
bad-tempered [AND] stormy [AND] distinct [IMPLY] excited [PERIOD]
stormy [IMPLY] weary [PERIOD]
distinct [AND] bad-tempered [IMPLY] stormy [PERIOD]
excited [IMPLY] stupid [PERIOD]
stormy [AND] weary [IMPLY] distinct [PERIOD]
distinct [IMPLY] stupid [PERIOD]
bad-tempered [AND] stupid [IMPLY] light [PERIOD]
victorious [AND] horrible [AND] alert [IMPLY] stupid [PERIOD]
stormy [AND] distinct [AND] stupid [IMPLY] sincere [PERIOD]
tidy [AND] horrible [IMPLY] worried [PERIOD]
victorious [AND] friendly [IMPLY] weary [PERIOD]
stormy [AND] weary [AND] light [IMPLY] distinct [PERIOD]
bad-tempered [AND] distinct [AND] alert [IMPLY] stupid [PERIOD]
friendly [AND] sincere [IMPLY] victorious [PERIOD]
bad-tempered [AND] light [IMPLY] friendly [PERIOD]
sincere [AND] stormy [IMPLY] friendly [PERIOD]
victorious [AND] alert [AND] stormy [IMPLY] friendly [PERIOD]
light [AND] weary [AND] friendly [IMPLY] stupid [PERIOD]
worried [IMPLY] weary [PERIOD]
friendly [AND] bad-tempered [AND] reserved [IMPLY] light [PERIOD]
light [AND] friendly [AND] excited [IMPLY] alert [PERIOD]
distinct [AND] tidy [AND] horrible [IMPLY] friendly [PERIOD]
reserved [IMPLY] victorious [PERIOD]
stupid [IMPLY] light [PERIOD]
distinct [AND] stupid [AND] sincere [IMPLY] worried [PERIOD]
weary [AND] stupid [IMPLY] stormy [PERIOD]
stormy [AND] horrible [AND] sincere [IMPLY] stupid [PERIOD]
light [AND] sincere [IMPLY] victorious [PERIOD]
reserved [AND] victorious [AND] excited [IMPLY] alert [PERIOD]
weary [AND] victorious [IMPLY] bad-tempered [PERIOD]
sincere [IMPLY] stormy [PERIOD]
stormy [AND] excited [IMPLY] tidy [PERIOD]
stormy [AND] friendly [AND] distinct [IMPLY] excited [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   Cannot apply rule “victorious ⇒ stupid” because missing: victorious.
   Cannot apply rule “excited ⇒ stupid” because missing: excited.
   Cannot apply rule “distinct ⇒ stupid” because missing: distinct.
   Cannot apply rule “victorious ∧ horrible ∧ alert ⇒ stupid” because missing: victorious, horrible, alert.
   Cannot apply rule “bad-tempered ∧ distinct ∧ alert ⇒ stupid” because missing: bad-tempered, distinct, alert.
   Cannot apply rule “light ∧ weary ∧ friendly ⇒ stupid” because missing: light, weary, friendly.
   Cannot apply rule “stormy ∧ horrible ∧ sincere ⇒ stupid” because missing: stormy, horrible, sincere.
",0,7
"Facts: 
Rules:
lonely [IMPLY] intellectual [PERIOD]
alert [IMPLY] pleasant [PERIOD]
confident [IMPLY] impatient [PERIOD]
good [AND] sleepy [IMPLY] pessimistic [PERIOD]
good [IMPLY] alert [PERIOD]
cute [AND] alert [IMPLY] pleasant [PERIOD]
ugliest [IMPLY] inquisitive [PERIOD]
inquisitive [AND] good [IMPLY] intellectual [PERIOD]
sleepy [AND] outrageous [AND] inquisitive [IMPLY] confident [PERIOD]
intellectual [AND] combative [IMPLY] inquisitive [PERIOD]
smart [AND] ugliest [AND] inquisitive [IMPLY] impatient [PERIOD]
diplomatic [AND] smart [AND] naughty [IMPLY] confident [PERIOD]
naughty [AND] pessimistic [IMPLY] inquisitive [PERIOD]
pessimistic [AND] naughty [AND] lonely [IMPLY] outrageous [PERIOD]
messy [AND] impatient [AND] hypocritical [IMPLY] pessimistic [PERIOD]
hypocritical [IMPLY] inquisitive [PERIOD]
messy [IMPLY] hypocritical [PERIOD]
intellectual [IMPLY] pessimistic [PERIOD]
diplomatic [AND] good [AND] bored [IMPLY] rational [PERIOD]
alert [IMPLY] good [PERIOD]
impatient [AND] inquisitive [AND] intellectual [IMPLY] ugliest [PERIOD]
smart [AND] ugliest [AND] cute [IMPLY] confident [PERIOD]
rational [AND] precious [IMPLY] cute [PERIOD]
impatient [AND] precious [IMPLY] intellectual [PERIOD]
precious [IMPLY] pleasant [PERIOD]
lonely [IMPLY] cute [PERIOD]
diplomatic [AND] lonely [IMPLY] cute [PERIOD]
confident [AND] precious [AND] inquisitive [IMPLY] pessimistic [PERIOD]
pleasant [AND] alert [IMPLY] naughty [PERIOD]
combative [AND] precious [AND] confident [IMPLY] sleepy [PERIOD]
intellectual [IMPLY] pleasant [PERIOD]
combative [IMPLY] precious [PERIOD]
sleepy [AND] good [IMPLY] rational [PERIOD]
inquisitive [AND] hypocritical [AND] ugliest [IMPLY] confident [PERIOD]
impatient [AND] diplomatic [AND] precious [IMPLY] pessimistic [PERIOD]
sleepy [AND] confident [IMPLY] messy [PERIOD]
lonely [IMPLY] alert [PERIOD]
cute [AND] diplomatic [IMPLY] hypocritical [PERIOD]
lonely [IMPLY] inquisitive [PERIOD]
cute [AND] intellectual [IMPLY] confident [PERIOD]
hypocritical [AND] lonely [AND] bored [IMPLY] outrageous [PERIOD]
smart [AND] ugliest [AND] naughty [IMPLY] hypocritical [PERIOD]
combative [AND] impatient [AND] messy [IMPLY] bored [PERIOD]
messy [IMPLY] cute [PERIOD]
diplomatic [IMPLY] lonely [PERIOD]
alert [AND] outrageous [IMPLY] ugliest [PERIOD]
hypocritical [AND] alert [IMPLY] pleasant [PERIOD]
naughty [AND] bored [AND] cute [IMPLY] pessimistic [PERIOD]
diplomatic [IMPLY] hypocritical [PERIOD]
ugliest [AND] confident [IMPLY] diplomatic [PERIOD]
good [AND] hypocritical [IMPLY] lonely [PERIOD]
smart [IMPLY] messy [PERIOD]
good [AND] confident [AND] smart [IMPLY] pessimistic [PERIOD]
diplomatic [AND] precious [AND] lonely [IMPLY] impatient [PERIOD]
combative [IMPLY] bored [PERIOD]
inquisitive [AND] pleasant [AND] good [IMPLY] naughty [PERIOD]
intellectual [AND] pessimistic [IMPLY] naughty [PERIOD]
pessimistic [IMPLY] confident [PERIOD]
pleasant [IMPLY] bored [PERIOD]
bored [IMPLY] messy [PERIOD]
pleasant [AND] hypocritical [IMPLY] pessimistic [PERIOD]
combative [AND] confident [AND] pleasant [IMPLY] outrageous [PERIOD]
pessimistic [AND] bored [AND] sleepy [IMPLY] rational [PERIOD]
cute [AND] good [AND] precious [IMPLY] smart [PERIOD]
precious [IMPLY] combative [PERIOD]
precious [AND] naughty [IMPLY] diplomatic [PERIOD]
impatient [IMPLY] hypocritical [PERIOD]
ugliest [AND] outrageous [AND] alert [IMPLY] sleepy [PERIOD]
naughty [AND] outrageous [AND] cute [IMPLY] messy [PERIOD]
pleasant [AND] smart [IMPLY] alert [PERIOD]
bored [AND] good [AND] combative [IMPLY] naughty [PERIOD]
good [AND] naughty [AND] bored [IMPLY] rational [PERIOD]
pleasant [AND] intellectual [IMPLY] precious [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   Cannot apply rule “pleasant ∧ alert ⇒ naughty” because missing: pleasant, alert.
   Cannot apply rule “inquisitive ∧ pleasant ∧ good ⇒ naughty” because missing: inquisitive, pleasant, good.
   Cannot apply rule “intellectual ∧ pessimistic ⇒ naughty” because missing: intellectual, pessimistic.
   Cannot apply rule “bored ∧ good ∧ combative ⇒ naughty” because missing: bored, good, combative.
",0,4
"Facts:  Alice is helpless [PERIOD] Alice is wandering [PERIOD] Alice is average [PERIOD] Alice is curious [PERIOD] Alice is ugliest [PERIOD]
Rules:
impartial [AND] average [AND] easy [IMPLY] disobedient [PERIOD]
foolish [IMPLY] beautiful [PERIOD]
easy [AND] average [IMPLY] helpless [PERIOD]
beautiful [AND] foolish [AND] average [IMPLY] disobedient [PERIOD]
worrisome [IMPLY] ugly [PERIOD]
helpless [IMPLY] ugliest [PERIOD]
disobedient [AND] ugliest [IMPLY] curious [PERIOD]
wandering [AND] ugly [AND] helpless [IMPLY] worrisome [PERIOD]
easy [AND] impartial [AND] average [IMPLY] curious [PERIOD]
average [AND] foolish [AND] ugliest [IMPLY] impartial [PERIOD]
impartial [AND] disobedient [IMPLY] foolish [PERIOD]
average [IMPLY] helpless [PERIOD]
foolish [IMPLY] easy [PERIOD]
easy [AND] curious [IMPLY] worrisome [PERIOD]
foolish [IMPLY] disobedient [PERIOD]
easy [AND] curious [IMPLY] ugly [PERIOD]
impartial [AND] disobedient [IMPLY] easy [PERIOD]
ugliest [AND] easy [AND] impartial [IMPLY] ugly [PERIOD]
wandering [AND] ugliest [IMPLY] curious [PERIOD]
disobedient [AND] ugliest [AND] easy [IMPLY] curious [PERIOD]
curious [IMPLY] impartial [PERIOD]
ugliest [AND] impartial [IMPLY] curious [PERIOD]
impartial [IMPLY] curious [PERIOD]
beautiful [IMPLY] easy [PERIOD]
wandering [AND] beautiful [AND] ugliest [IMPLY] foolish [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   Cannot apply rule “wandering ∧ ugly ∧ helpless ⇒ worrisome” because missing: ugly.
   Cannot apply rule “easy ∧ curious ⇒ worrisome” because missing: easy.
",0,2
"Facts:  Alice is broad-minded [PERIOD]
Rules:
bright [AND] frail [AND] tense [IMPLY] glamorous [PERIOD]
helpful [AND] courageous [AND] long [IMPLY] glamorous [PERIOD]
versatile [AND] courageous [AND] frightened [IMPLY] glamorous [PERIOD]
bright [IMPLY] mean [PERIOD]
careless [IMPLY] sleepy [PERIOD]
glamorous [AND] average [AND] sensible [IMPLY] helpful [PERIOD]
muddy [AND] broad-minded [IMPLY] careless [PERIOD]
glamorous [AND] long [AND] aggressive [IMPLY] frightened [PERIOD]
stormy [AND] frail [IMPLY] adorable [PERIOD]
sleepy [AND] tense [AND] frail [IMPLY] adorable [PERIOD]
friendly [AND] versatile [IMPLY] careless [PERIOD]
tame [IMPLY] friendly [PERIOD]
average [AND] sleepy [IMPLY] hilarious [PERIOD]
curious [IMPLY] stormy [PERIOD]
careless [AND] bright [AND] helpful [IMPLY] hilarious [PERIOD]
aggressive [AND] sleepy [IMPLY] frail [PERIOD]
shy [AND] stormy [AND] aggressive [IMPLY] hilarious [PERIOD]
bright [AND] shy [IMPLY] average [PERIOD]
broad-minded [IMPLY] frail [PERIOD]
helpful [IMPLY] average [PERIOD]
muddy [IMPLY] tame [PERIOD]
sleepy [AND] bright [AND] adorable [IMPLY] shy [PERIOD]
adorable [AND] mean [IMPLY] hilarious [PERIOD]
stormy [IMPLY] hilarious [PERIOD]
friendly [AND] shy [IMPLY] versatile [PERIOD]
muddy [IMPLY] tense [PERIOD]
tense [IMPLY] helpful [PERIOD]
sleepy [AND] broad-minded [AND] hilarious [IMPLY] shy [PERIOD]
aggressive [AND] long [IMPLY] curious [PERIOD]
friendly [AND] adorable [AND] curious [IMPLY] courageous [PERIOD]
muddy [AND] average [AND] stormy [IMPLY] long [PERIOD]
stormy [AND] versatile [IMPLY] careless [PERIOD]
glamorous [AND] versatile [IMPLY] sensible [PERIOD]
glamorous [IMPLY] muddy [PERIOD]
aggressive [IMPLY] hilarious [PERIOD]
bright [AND] tense [IMPLY] long [PERIOD]
versatile [AND] broad-minded [IMPLY] tense [PERIOD]
frightened [IMPLY] average [PERIOD]
friendly [AND] curious [IMPLY] adorable [PERIOD]
shy [AND] bright [IMPLY] mean [PERIOD]
muddy [AND] broad-minded [AND] tame [IMPLY] adorable [PERIOD]
stormy [AND] busy [IMPLY] long [PERIOD]
bright [AND] hilarious [AND] adorable [IMPLY] sleepy [PERIOD]
aggressive [AND] adorable [IMPLY] tense [PERIOD]
aggressive [AND] mean [IMPLY] broad-minded [PERIOD]
sensible [AND] friendly [AND] shy [IMPLY] stormy [PERIOD]
sensible [IMPLY] friendly [PERIOD]
busy [AND] courageous [AND] mean [IMPLY] frightened [PERIOD]
tame [AND] stormy [IMPLY] shy [PERIOD]
mean [AND] helpful [IMPLY] long [PERIOD]
busy [IMPLY] tame [PERIOD]
shy [IMPLY] mean [PERIOD]
courageous [AND] helpful [IMPLY] stormy [PERIOD]
sleepy [AND] curious [IMPLY] bright [PERIOD]
aggressive [IMPLY] frail [PERIOD]
careless [AND] sensible [AND] aggressive [IMPLY] long [PERIOD]
broad-minded [IMPLY] long [PERIOD]
average [IMPLY] tense [PERIOD]
curious [IMPLY] muddy [PERIOD]
adorable [IMPLY] shy [PERIOD]
long [AND] versatile [AND] stormy [IMPLY] busy [PERIOD]
aggressive [AND] hilarious [AND] adorable [IMPLY] bright [PERIOD]
broad-minded [AND] long [IMPLY] curious [PERIOD]
average [AND] sleepy [AND] frail [IMPLY] adorable [PERIOD]
curious [IMPLY] mean [PERIOD]
sensible [IMPLY] frail [PERIOD]
careless [AND] courageous [AND] broad-minded [IMPLY] mean [PERIOD]
adorable [AND] sleepy [IMPLY] courageous [PERIOD]
sensible [IMPLY] average [PERIOD]
courageous [AND] busy [AND] friendly [IMPLY] frail [PERIOD]
sensible [IMPLY] bright [PERIOD]
hilarious [IMPLY] broad-minded [PERIOD]
busy [IMPLY] careless [PERIOD]
hilarious [IMPLY] busy [PERIOD]
muddy [AND] tame [IMPLY] friendly [PERIOD]
long [AND] adorable [IMPLY] shy [PERIOD]
tense [AND] aggressive [AND] muddy [IMPLY] careless [PERIOD]
courageous [AND] broad-minded [IMPLY] tame [PERIOD]
broad-minded [AND] curious [IMPLY] mean [PERIOD]
adorable [AND] aggressive [IMPLY] shy [PERIOD]
sensible [AND] adorable [AND] glamorous [IMPLY] average [PERIOD]
helpful [AND] glamorous [AND] curious [IMPLY] stormy [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   broad-minded ⇒ long
   broad-minded ∧ long ⇒ curious
   curious ⇒ stormy
   broad-minded ⇒ frail
   stormy ∧ frail ⇒ adorable
   adorable ⇒ shy
",1,6
"Facts:  Alice is friendly [PERIOD] Alice is unpleasant [PERIOD] Alice is mysterious [PERIOD] Alice is outrageous [PERIOD] Alice is tame [PERIOD] Alice is bossy [PERIOD] Alice is proud [PERIOD] Alice is precious [PERIOD] Alice is average [PERIOD] Alice is quaint [PERIOD] Alice is powerful [PERIOD] Alice is elegant [PERIOD]
Rules:
precious [IMPLY] outrageous [PERIOD]
average [AND] precious [AND] bossy [IMPLY] elegant [PERIOD]
elegant [IMPLY] powerful [PERIOD]
unpleasant [IMPLY] mysterious [PERIOD]
powerful [AND] elegant [AND] quaint [IMPLY] average [PERIOD]
outrageous [AND] quaint [IMPLY] powerful [PERIOD]
outrageous [IMPLY] precious [PERIOD]
mysterious [AND] precious [IMPLY] friendly [PERIOD]
powerful [IMPLY] quaint [PERIOD]
elegant [AND] proud [IMPLY] tame [PERIOD]
unpleasant [AND] proud [IMPLY] bossy [PERIOD]
bossy [IMPLY] quaint [PERIOD]
friendly [AND] outrageous [IMPLY] unpleasant [PERIOD]
bossy [IMPLY] powerful [PERIOD]
quaint [IMPLY] tame [PERIOD]
tame [IMPLY] unpleasant [PERIOD]
elegant [AND] powerful [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] elegant [PERIOD]
quaint [AND] precious [AND] proud [IMPLY] mysterious [PERIOD]
powerful [AND] friendly [AND] average [IMPLY] precious [PERIOD]
mysterious [AND] proud [IMPLY] bossy [PERIOD]
elegant [AND] tame [IMPLY] powerful [PERIOD]
friendly [IMPLY] powerful [PERIOD]
tame [AND] unpleasant [AND] proud [IMPLY] friendly [PERIOD]
average [IMPLY] elegant [PERIOD]
precious [AND] average [AND] unpleasant [IMPLY] quaint [PERIOD]
outrageous [AND] quaint [AND] elegant [IMPLY] precious [PERIOD]
mysterious [AND] precious [IMPLY] quaint [PERIOD]
precious [AND] bossy [IMPLY] mysterious [PERIOD]
powerful [AND] unpleasant [IMPLY] quaint [PERIOD]
bossy [AND] outrageous [AND] precious [IMPLY] powerful [PERIOD]
proud [AND] precious [AND] friendly [IMPLY] quaint [PERIOD]
average [AND] outrageous [AND] friendly [IMPLY] bossy [PERIOD]
unpleasant [AND] friendly [IMPLY] tame [PERIOD]
bossy [AND] powerful [IMPLY] elegant [PERIOD]
outrageous [AND] mysterious [IMPLY] quaint [PERIOD]
quaint [AND] outrageous [AND] elegant [IMPLY] powerful [PERIOD]
tame [IMPLY] precious [PERIOD]
powerful [AND] quaint [AND] tame [IMPLY] outrageous [PERIOD]
mysterious [IMPLY] quaint [PERIOD]
proud [IMPLY] average [PERIOD]
powerful [AND] bossy [IMPLY] proud [PERIOD]
tame [IMPLY] elegant [PERIOD]
elegant [AND] quaint [IMPLY] powerful [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is tired [PERIOD] Alice is zealous [PERIOD] Alice is mean [PERIOD]
Rules:
frail [AND] tired [IMPLY] tidy [PERIOD]
clean [AND] lonely [IMPLY] zealous [PERIOD]
tidy [AND] comfortable [IMPLY] lonely [PERIOD]
modern [AND] unpleasant [IMPLY] cooperative [PERIOD]
fine [IMPLY] ambitious [PERIOD]
worrisome [AND] inexpensive [IMPLY] tidy [PERIOD]
careless [IMPLY] lonely [PERIOD]
fine [AND] inexpensive [AND] stormy [IMPLY] modern [PERIOD]
agreeable [AND] rude [AND] tired [IMPLY] careless [PERIOD]
rude [AND] careless [IMPLY] tired [PERIOD]
ambitious [AND] tired [IMPLY] careless [PERIOD]
tidy [AND] comfortable [AND] mean [IMPLY] cooperative [PERIOD]
cooperative [AND] unpleasant [IMPLY] anxious [PERIOD]
frail [IMPLY] fragile [PERIOD]
lonely [IMPLY] cooperative [PERIOD]
mean [IMPLY] tidy [PERIOD]
stormy [IMPLY] lonely [PERIOD]
fragile [IMPLY] lonely [PERIOD]
unpleasant [AND] inexpensive [IMPLY] straightforward [PERIOD]
mean [IMPLY] modern [PERIOD]
tidy [AND] comfortable [IMPLY] tired [PERIOD]
mean [AND] ambitious [IMPLY] anxious [PERIOD]
fragile [IMPLY] modern [PERIOD]
fragile [IMPLY] rude [PERIOD]
fragile [AND] careless [IMPLY] ambitious [PERIOD]
careless [AND] straightforward [IMPLY] clean [PERIOD]
anxious [AND] clean [IMPLY] tidy [PERIOD]
unpleasant [IMPLY] lonely [PERIOD]
inexpensive [IMPLY] cooperative [PERIOD]
tired [IMPLY] unpleasant [PERIOD]
unpleasant [AND] stormy [IMPLY] tidy [PERIOD]
stubborn [AND] tired [IMPLY] careless [PERIOD]
fragile [IMPLY] cooperative [PERIOD]
rude [AND] anxious [AND] tidy [IMPLY] mean [PERIOD]
clean [IMPLY] worrisome [PERIOD]
tired [AND] agreeable [AND] fragile [IMPLY] modern [PERIOD]
comfortable [IMPLY] tidy [PERIOD]
worrisome [IMPLY] mean [PERIOD]
tired [AND] comfortable [IMPLY] stormy [PERIOD]
inexpensive [AND] tired [AND] lonely [IMPLY] ambitious [PERIOD]
worrisome [IMPLY] careless [PERIOD]
unpleasant [AND] frail [IMPLY] worrisome [PERIOD]
fragile [AND] tired [AND] stormy [IMPLY] ambitious [PERIOD]
frail [AND] fine [IMPLY] tidy [PERIOD]
inexpensive [AND] agreeable [AND] anxious [IMPLY] frail [PERIOD]
modern [AND] clean [IMPLY] careless [PERIOD]
unpleasant [AND] clean [IMPLY] tired [PERIOD]
comfortable [AND] mean [AND] fragile [IMPLY] tired [PERIOD]
worrisome [AND] ambitious [AND] inexpensive [IMPLY] fragile [PERIOD]
fine [AND] tired [IMPLY] stubborn [PERIOD]
fragile [IMPLY] stormy [PERIOD]
fine [IMPLY] mean [PERIOD]
ambitious [AND] mean [IMPLY] unpleasant [PERIOD]
stormy [IMPLY] worrisome [PERIOD]
unpleasant [IMPLY] worrisome [PERIOD]
tidy [IMPLY] tired [PERIOD]
frail [IMPLY] careless [PERIOD]
straightforward [AND] careless [IMPLY] inexpensive [PERIOD]
agreeable [AND] mean [AND] stormy [IMPLY] fine [PERIOD]
stubborn [AND] fine [AND] careless [IMPLY] straightforward [PERIOD]
mean [AND] stormy [AND] zealous [IMPLY] clean [PERIOD]
unpleasant [AND] tired [IMPLY] anxious [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   Cannot apply rule “frail ⇒ fragile” because missing: frail.
   tired ⇒ unpleasant
   unpleasant ⇒ worrisome
   Cannot apply rule “worrisome ∧ ambitious ∧ inexpensive ⇒ fragile” because missing: ambitious, inexpensive.
",0,4
"Facts:  Alice is lucky [PERIOD] Alice is wide-eyed [PERIOD] Alice is comfortable [PERIOD]
Rules:
popular [IMPLY] mean [PERIOD]
frail [IMPLY] popular [PERIOD]
popular [IMPLY] grumpy [PERIOD]
glamorous [AND] calm [IMPLY] comfortable [PERIOD]
wide-eyed [AND] crowded [AND] mean [IMPLY] cute [PERIOD]
nervous [IMPLY] glamorous [PERIOD]
mean [AND] outrageous [AND] grumpy [IMPLY] nervous [PERIOD]
broad-minded [IMPLY] wide-eyed [PERIOD]
glamorous [IMPLY] broad-minded [PERIOD]
crowded [AND] outrageous [IMPLY] glamorous [PERIOD]
mean [AND] grumpy [IMPLY] crowded [PERIOD]
outrageous [IMPLY] comfortable [PERIOD]
mean [AND] glamorous [IMPLY] comfortable [PERIOD]
mean [IMPLY] crowded [PERIOD]
attractive [AND] wide-eyed [AND] lucky [IMPLY] crowded [PERIOD]
grumpy [AND] comfortable [AND] inexpensive [IMPLY] calm [PERIOD]
grumpy [AND] comfortable [AND] outrageous [IMPLY] calm [PERIOD]
broad-minded [IMPLY] crowded [PERIOD]
outrageous [AND] attractive [IMPLY] nervous [PERIOD]
calm [AND] gorgeous [AND] crowded [IMPLY] lucky [PERIOD]
nervous [IMPLY] gorgeous [PERIOD]
grumpy [AND] inexpensive [AND] mean [IMPLY] glamorous [PERIOD]
lucky [IMPLY] mean [PERIOD]
frail [AND] outrageous [AND] nervous [IMPLY] gorgeous [PERIOD]
wide-eyed [IMPLY] frail [PERIOD]
outrageous [AND] inexpensive [AND] calm [IMPLY] nervous [PERIOD]
calm [AND] comfortable [AND] outrageous [IMPLY] mean [PERIOD]
inexpensive [IMPLY] gorgeous [PERIOD]
glamorous [AND] gorgeous [IMPLY] outrageous [PERIOD]
outrageous [AND] grumpy [AND] calm [IMPLY] popular [PERIOD]
outrageous [AND] mean [IMPLY] grumpy [PERIOD]
calm [AND] crowded [IMPLY] mean [PERIOD]
popular [IMPLY] attractive [PERIOD]
calm [AND] attractive [AND] glamorous [IMPLY] lucky [PERIOD]
nervous [IMPLY] grumpy [PERIOD]
nervous [IMPLY] mean [PERIOD]
cute [AND] glamorous [AND] mean [IMPLY] inexpensive [PERIOD]
broad-minded [IMPLY] lucky [PERIOD]
mean [IMPLY] cute [PERIOD]
comfortable [AND] calm [AND] grumpy [IMPLY] cute [PERIOD]
nervous [AND] popular [IMPLY] glamorous [PERIOD]
lucky [AND] glamorous [AND] popular [IMPLY] crowded [PERIOD]
gorgeous [AND] attractive [IMPLY] inexpensive [PERIOD]
outrageous [AND] gorgeous [IMPLY] wide-eyed [PERIOD]
mean [AND] nervous [IMPLY] popular [PERIOD]
lucky [AND] cute [IMPLY] popular [PERIOD]
frail [AND] attractive [IMPLY] inexpensive [PERIOD]
attractive [IMPLY] cute [PERIOD]
frail [AND] wide-eyed [IMPLY] cute [PERIOD]
attractive [AND] gorgeous [AND] wide-eyed [IMPLY] outrageous [PERIOD]
glamorous [AND] crowded [IMPLY] inexpensive [PERIOD]
popular [AND] outrageous [IMPLY] broad-minded [PERIOD]
calm [AND] crowded [AND] attractive [IMPLY] cute [PERIOD]
mean [IMPLY] comfortable [PERIOD]
nervous [AND] popular [IMPLY] calm [PERIOD]
attractive [AND] grumpy [IMPLY] calm [PERIOD]
gorgeous [AND] nervous [AND] frail [IMPLY] lucky [PERIOD]
popular [AND] lucky [AND] nervous [IMPLY] attractive [PERIOD]
broad-minded [AND] calm [IMPLY] glamorous [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   wide-eyed ⇒ frail
   wide-eyed ⇒ frail
   frail ⇒ popular
   popular ⇒ attractive
   frail ∧ attractive ⇒ inexpensive
",1,5
"Facts:  Alice is fancy [PERIOD] Alice is stubborn [PERIOD] Alice is confident [PERIOD]
Rules:
stubborn [AND] zealous [IMPLY] famous [PERIOD]
rude [AND] zealous [AND] confident [IMPLY] cruel [PERIOD]
troubled [IMPLY] attractive [PERIOD]
bored [AND] weary [IMPLY] frantic [PERIOD]
busy [IMPLY] beautiful [PERIOD]
frail [IMPLY] worried [PERIOD]
worried [IMPLY] outrageous [PERIOD]
frail [AND] stubborn [AND] stormy [IMPLY] attractive [PERIOD]
beautiful [IMPLY] stubborn [PERIOD]
attractive [AND] busy [IMPLY] rude [PERIOD]
zealous [IMPLY] cruel [PERIOD]
attractive [IMPLY] busy [PERIOD]
zealous [IMPLY] frail [PERIOD]
troubled [IMPLY] worried [PERIOD]
cruel [AND] beautiful [AND] famous [IMPLY] outrageous [PERIOD]
famous [AND] gifted [AND] frail [IMPLY] fancy [PERIOD]
zealous [AND] troubled [IMPLY] famous [PERIOD]
gleaming [IMPLY] rude [PERIOD]
beautiful [IMPLY] rude [PERIOD]
rude [IMPLY] bored [PERIOD]
famous [IMPLY] gleaming [PERIOD]
confident [IMPLY] busy [PERIOD]
frail [AND] troubled [AND] lonely [IMPLY] stubborn [PERIOD]
gifted [AND] worried [IMPLY] attractive [PERIOD]
stormy [IMPLY] frail [PERIOD]
troubled [AND] rude [IMPLY] gleaming [PERIOD]
troubled [AND] frail [AND] weary [IMPLY] zealous [PERIOD]
outrageous [AND] weary [AND] lonely [IMPLY] busy [PERIOD]
stubborn [AND] outrageous [IMPLY] troubled [PERIOD]
confident [AND] gleaming [IMPLY] frantic [PERIOD]
outrageous [AND] worried [IMPLY] rude [PERIOD]
bored [IMPLY] lonely [PERIOD]
zealous [IMPLY] stubborn [PERIOD]
frail [AND] lonely [IMPLY] cruel [PERIOD]
lonely [AND] frail [IMPLY] bored [PERIOD]
gleaming [AND] lonely [IMPLY] stubborn [PERIOD]
cruel [IMPLY] fancy [PERIOD]
zealous [AND] weary [AND] bored [IMPLY] stormy [PERIOD]
lonely [IMPLY] stubborn [PERIOD]
weary [AND] outrageous [IMPLY] confident [PERIOD]
weary [AND] rude [AND] cruel [IMPLY] stubborn [PERIOD]
beautiful [AND] stubborn [AND] attractive [IMPLY] lonely [PERIOD]
lonely [AND] gifted [IMPLY] cruel [PERIOD]
frantic [AND] zealous [IMPLY] attractive [PERIOD]
troubled [AND] stubborn [IMPLY] rude [PERIOD]
frantic [AND] attractive [IMPLY] gifted [PERIOD]
troubled [AND] stormy [IMPLY] beautiful [PERIOD]
bored [AND] confident [AND] stubborn [IMPLY] frail [PERIOD]
gleaming [AND] stubborn [IMPLY] troubled [PERIOD]
outrageous [IMPLY] frantic [PERIOD]
famous [IMPLY] troubled [PERIOD]
frail [AND] attractive [IMPLY] cruel [PERIOD]
bored [AND] frantic [AND] stubborn [IMPLY] gleaming [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
   confident ⇒ busy
   busy ⇒ beautiful
   beautiful ⇒ rude
   rude ⇒ bored
   bored ∧ confident ∧ stubborn ⇒ frail
   frail ⇒ worried
",1,6
"Facts: 
Rules:
jittery [AND] calm [IMPLY] foolish [PERIOD]
fragile [AND] pleasant [AND] jittery [IMPLY] amused [PERIOD]
gleaming [AND] shy [AND] pleasant [IMPLY] tense [PERIOD]
foolish [IMPLY] tense [PERIOD]
calm [AND] jittery [IMPLY] tense [PERIOD]
outstanding [AND] amused [AND] foolish [IMPLY] shy [PERIOD]
pleasant [AND] outstanding [AND] jittery [IMPLY] witty [PERIOD]
jittery [IMPLY] fragile [PERIOD]
witty [AND] foolish [AND] fragile [IMPLY] shy [PERIOD]
pleasant [AND] shy [AND] clean [IMPLY] tame [PERIOD]
pleasant [AND] foolish [AND] gleaming [IMPLY] outstanding [PERIOD]
witty [IMPLY] amused [PERIOD]
witty [AND] outstanding [AND] jittery [IMPLY] tense [PERIOD]
shy [IMPLY] amused [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   Cannot apply rule “fragile ∧ pleasant ∧ jittery ⇒ amused” because missing: fragile, pleasant, jittery.
   Cannot apply rule “witty ⇒ amused” because missing: witty.
   Cannot apply rule “shy ⇒ amused” because missing: shy.
",0,3
"Facts:  Alice is serious [PERIOD] Alice is tense [PERIOD] Alice is silly [PERIOD]
Rules:
gorgeous [AND] serious [AND] vivacious [IMPLY] sleepy [PERIOD]
bored [AND] gorgeous [IMPLY] sleepy [PERIOD]
bored [AND] vivacious [IMPLY] silly [PERIOD]
elegant [AND] serious [IMPLY] sincere [PERIOD]
tense [IMPLY] famous [PERIOD]
silly [AND] difficult [AND] sleepy [IMPLY] old-fashioned [PERIOD]
serious [AND] difficult [AND] vivacious [IMPLY] tense [PERIOD]
serious [IMPLY] gorgeous [PERIOD]
silly [AND] serious [AND] strange [IMPLY] sincere [PERIOD]
sincere [AND] vivacious [IMPLY] strange [PERIOD]
difficult [AND] elegant [IMPLY] sincere [PERIOD]
gorgeous [AND] shiny [AND] silly [IMPLY] elegant [PERIOD]
shiny [AND] difficult [IMPLY] old-fashioned [PERIOD]
silly [IMPLY] difficult [PERIOD]
bored [AND] shiny [AND] tense [IMPLY] old-fashioned [PERIOD]
sincere [AND] tense [AND] sleepy [IMPLY] old-fashioned [PERIOD]
gorgeous [AND] old-fashioned [IMPLY] sleepy [PERIOD]
serious [AND] silly [IMPLY] bored [PERIOD]
famous [AND] strange [IMPLY] old-fashioned [PERIOD]
strange [IMPLY] old-fashioned [PERIOD]
elegant [AND] silly [IMPLY] strange [PERIOD]
old-fashioned [AND] vivacious [IMPLY] difficult [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   silly ⇒ difficult
   serious ∧ silly ⇒ bored
   serious ⇒ gorgeous
   bored ∧ gorgeous ⇒ sleepy
   silly ∧ difficult ∧ sleepy ⇒ old-fashioned
",1,5
"Facts:  Alice is smart [PERIOD] Alice is talented [PERIOD] Alice is mysterious [PERIOD]
Rules:
weary [AND] mysterious [IMPLY] worrisome [PERIOD]
hypocritical [AND] weary [IMPLY] perfect [PERIOD]
beautiful [AND] plain [AND] hypocritical [IMPLY] perfect [PERIOD]
beautiful [AND] plain [IMPLY] stubborn [PERIOD]
impartial [AND] talented [IMPLY] scared [PERIOD]
scared [IMPLY] hypocritical [PERIOD]
scared [AND] strange [IMPLY] shy [PERIOD]
weary [AND] calm [IMPLY] talkative [PERIOD]
perfect [AND] stubborn [AND] strange [IMPLY] beautiful [PERIOD]
talkative [IMPLY] cooperative [PERIOD]
plain [AND] talkative [IMPLY] light [PERIOD]
perfect [AND] messy [AND] hypocritical [IMPLY] beautiful [PERIOD]
shy [AND] hypocritical [AND] mysterious [IMPLY] stubborn [PERIOD]
beautiful [IMPLY] weary [PERIOD]
cooperative [AND] stubborn [IMPLY] strange [PERIOD]
weary [AND] perfect [AND] beautiful [IMPLY] cooperative [PERIOD]
beautiful [IMPLY] charming [PERIOD]
plain [IMPLY] hypocritical [PERIOD]
smart [AND] beautiful [IMPLY] weary [PERIOD]
glamorous [AND] calm [IMPLY] charming [PERIOD]
cooperative [AND] strange [IMPLY] charming [PERIOD]
hypocritical [IMPLY] impartial [PERIOD]
talented [AND] talkative [AND] strange [IMPLY] scared [PERIOD]
worrisome [AND] messy [AND] glamorous [IMPLY] smart [PERIOD]
stubborn [AND] strange [AND] worrisome [IMPLY] scared [PERIOD]
charming [AND] strange [AND] hypocritical [IMPLY] calm [PERIOD]
light [AND] shy [AND] beautiful [IMPLY] impartial [PERIOD]
light [IMPLY] charming [PERIOD]
calm [IMPLY] glamorous [PERIOD]
worrisome [AND] scared [IMPLY] cooperative [PERIOD]
cooperative [AND] charming [IMPLY] stubborn [PERIOD]
glamorous [AND] perfect [AND] hypocritical [IMPLY] calm [PERIOD]
messy [AND] plain [IMPLY] shy [PERIOD]
messy [AND] strange [AND] impartial [IMPLY] shy [PERIOD]
stubborn [AND] weary [IMPLY] strange [PERIOD]
talkative [AND] charming [AND] mysterious [IMPLY] shy [PERIOD]
beautiful [IMPLY] plain [PERIOD]
worrisome [AND] talkative [AND] shy [IMPLY] strange [PERIOD]
perfect [IMPLY] shy [PERIOD]
strange [AND] light [IMPLY] cooperative [PERIOD]
light [AND] glamorous [AND] hypocritical [IMPLY] messy [PERIOD]
messy [IMPLY] impartial [PERIOD]
plain [IMPLY] messy [PERIOD]
cooperative [AND] scared [IMPLY] mysterious [PERIOD]
light [AND] beautiful [IMPLY] glamorous [PERIOD]
messy [AND] talented [AND] perfect [IMPLY] strange [PERIOD]
mysterious [IMPLY] shy [PERIOD]
worrisome [AND] mysterious [AND] talkative [IMPLY] light [PERIOD]
glamorous [AND] worrisome [IMPLY] charming [PERIOD]
talented [AND] perfect [AND] beautiful [IMPLY] calm [PERIOD]
worrisome [AND] mysterious [AND] glamorous [IMPLY] talented [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   Cannot apply rule “cooperative ∧ stubborn ⇒ strange” because missing: cooperative, stubborn.
   Cannot apply rule “stubborn ∧ weary ⇒ strange” because missing: stubborn, weary.
   mysterious ⇒ shy
   Cannot apply rule “worrisome ∧ talkative ∧ shy ⇒ strange” because missing: worrisome, talkative.
   Cannot apply rule “messy ∧ talented ∧ perfect ⇒ strange” because missing: messy, perfect.
",0,5
"Facts: 
Rules:
attractive [AND] polite [AND] embarrassed [IMPLY] excited [PERIOD]
messy [AND] elegant [AND] gifted [IMPLY] cooperative [PERIOD]
embarrassed [IMPLY] modern [PERIOD]
elegant [AND] tense [AND] excited [IMPLY] modern [PERIOD]
intellectual [IMPLY] mysterious [PERIOD]
silly [AND] thoughtless [IMPLY] embarrassed [PERIOD]
uptight [IMPLY] frantic [PERIOD]
cooperative [AND] polite [IMPLY] excited [PERIOD]
pessimistic [IMPLY] thoughtless [PERIOD]
cooperative [AND] mysterious [IMPLY] jittery [PERIOD]
excited [AND] thoughtless [AND] uptight [IMPLY] messy [PERIOD]
cooperative [AND] pessimistic [IMPLY] messy [PERIOD]
frantic [IMPLY] intellectual [PERIOD]
shiny [IMPLY] thoughtless [PERIOD]
elegant [IMPLY] excited [PERIOD]
embarrassed [IMPLY] excited [PERIOD]
shiny [AND] messy [IMPLY] thoughtless [PERIOD]
attractive [AND] intellectual [IMPLY] modern [PERIOD]
broad-minded [IMPLY] silly [PERIOD]
silly [AND] cooperative [IMPLY] thoughtless [PERIOD]
thoughtless [AND] disobedient [IMPLY] messy [PERIOD]
thoughtless [AND] excited [AND] pessimistic [IMPLY] uptight [PERIOD]
elegant [IMPLY] broad-minded [PERIOD]
cooperative [AND] excited [IMPLY] tense [PERIOD]
jittery [IMPLY] cooperative [PERIOD]
pessimistic [IMPLY] modern [PERIOD]
gifted [AND] uptight [IMPLY] pessimistic [PERIOD]
polite [AND] attractive [IMPLY] elegant [PERIOD]
pessimistic [AND] thoughtless [IMPLY] attractive [PERIOD]
pessimistic [IMPLY] embarrassed [PERIOD]
mysterious [IMPLY] gifted [PERIOD]
excited [AND] shiny [AND] embarrassed [IMPLY] frantic [PERIOD]
embarrassed [IMPLY] attractive [PERIOD]
mysterious [AND] frantic [AND] messy [IMPLY] uptight [PERIOD]
uptight [AND] pessimistic [AND] shiny [IMPLY] thoughtless [PERIOD]
uptight [IMPLY] excited [PERIOD]
excited [AND] jittery [IMPLY] silly [PERIOD]
attractive [IMPLY] messy [PERIOD]
elegant [AND] tense [IMPLY] gifted [PERIOD]
embarrassed [AND] jittery [IMPLY] polite [PERIOD]
frantic [AND] cooperative [AND] silly [IMPLY] polite [PERIOD]
gifted [AND] thoughtless [IMPLY] intellectual [PERIOD]
broad-minded [AND] uptight [AND] attractive [IMPLY] elegant [PERIOD]
uptight [AND] pessimistic [AND] silly [IMPLY] elegant [PERIOD]
tense [AND] jittery [IMPLY] silly [PERIOD]
uptight [IMPLY] pessimistic [PERIOD]
silly [AND] frantic [AND] broad-minded [IMPLY] excited [PERIOD]
modern [IMPLY] thoughtless [PERIOD]
intellectual [AND] mysterious [IMPLY] thoughtless [PERIOD]
mysterious [AND] messy [IMPLY] disobedient [PERIOD]
polite [AND] tense [IMPLY] elegant [PERIOD]
embarrassed [AND] jittery [IMPLY] cooperative [PERIOD]
thoughtless [AND] silly [AND] frantic [IMPLY] mysterious [PERIOD]
messy [AND] intellectual [IMPLY] tense [PERIOD]
attractive [AND] shiny [IMPLY] disobedient [PERIOD]
excited [AND] jittery [AND] intellectual [IMPLY] broad-minded [PERIOD]
elegant [IMPLY] frantic [PERIOD]
cooperative [AND] uptight [IMPLY] excited [PERIOD]
uptight [AND] intellectual [IMPLY] elegant [PERIOD]
attractive [AND] pessimistic [AND] mysterious [IMPLY] elegant [PERIOD]
uptight [IMPLY] shiny [PERIOD]
mysterious [AND] pessimistic [AND] disobedient [IMPLY] elegant [PERIOD]
mysterious [IMPLY] messy [PERIOD]
shiny [AND] jittery [AND] modern [IMPLY] broad-minded [PERIOD]
elegant [IMPLY] pessimistic [PERIOD]
uptight [AND] tense [IMPLY] intellectual [PERIOD]
pessimistic [AND] thoughtless [AND] silly [IMPLY] modern [PERIOD]
shiny [AND] cooperative [AND] disobedient [IMPLY] polite [PERIOD]
disobedient [IMPLY] intellectual [PERIOD]
polite [AND] broad-minded [IMPLY] intellectual [PERIOD]
thoughtless [IMPLY] cooperative [PERIOD]
gifted [IMPLY] tense [PERIOD]
broad-minded [IMPLY] disobedient [PERIOD]
frantic [IMPLY] messy [PERIOD]
jittery [AND] uptight [AND] broad-minded [IMPLY] polite [PERIOD]
silly [IMPLY] broad-minded [PERIOD]
embarrassed [IMPLY] silly [PERIOD]
thoughtless [AND] silly [IMPLY] disobedient [PERIOD]
tense [AND] modern [AND] gifted [IMPLY] mysterious [PERIOD]
elegant [AND] embarrassed [AND] cooperative [IMPLY] modern [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   Cannot apply rule “silly ∧ thoughtless ⇒ embarrassed” because missing: silly, thoughtless.
   Cannot apply rule “pessimistic ⇒ embarrassed” because missing: pessimistic.
",0,2
"Facts:  Alice is talkative [PERIOD] Alice is condemned [PERIOD] Alice is foolish [PERIOD] Alice is diplomatic [PERIOD] Alice is careless [PERIOD] Alice is troubled [PERIOD] Alice is popular [PERIOD] Alice is stupid [PERIOD] Alice is comfortable [PERIOD] Alice is busy [PERIOD] Alice is wandering [PERIOD] Alice is gifted [PERIOD]
Rules:
wandering [AND] troubled [AND] talkative [IMPLY] foolish [PERIOD]
rational [AND] popular [AND] busy [IMPLY] comfortable [PERIOD]
comfortable [IMPLY] diplomatic [PERIOD]
stormy [AND] foolish [AND] troubled [IMPLY] busy [PERIOD]
busy [AND] careless [AND] condemned [IMPLY] rational [PERIOD]
stupid [AND] diplomatic [AND] impartial [IMPLY] wandering [PERIOD]
wandering [AND] popular [IMPLY] talkative [PERIOD]
foolish [AND] impartial [IMPLY] diplomatic [PERIOD]
careless [AND] stormy [IMPLY] foolish [PERIOD]
stormy [AND] condemned [AND] impartial [IMPLY] careless [PERIOD]
stormy [AND] foolish [IMPLY] popular [PERIOD]
condemned [AND] troubled [AND] comfortable [IMPLY] gifted [PERIOD]
embarrassed [AND] stupid [AND] gifted [IMPLY] condemned [PERIOD]
rational [AND] embarrassed [AND] troubled [IMPLY] comfortable [PERIOD]
wandering [IMPLY] rational [PERIOD]
rational [IMPLY] stormy [PERIOD]
rational [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] talkative [PERIOD]
busy [IMPLY] talkative [PERIOD]
wandering [IMPLY] stormy [PERIOD]
comfortable [AND] condemned [IMPLY] popular [PERIOD]
careless [IMPLY] talkative [PERIOD]
stormy [IMPLY] popular [PERIOD]
popular [AND] comfortable [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] careless [PERIOD]
wandering [AND] popular [AND] troubled [IMPLY] busy [PERIOD]
popular [AND] rational [IMPLY] foolish [PERIOD]
comfortable [AND] troubled [AND] talkative [IMPLY] embarrassed [PERIOD]
talkative [AND] impartial [AND] busy [IMPLY] condemned [PERIOD]
embarrassed [AND] impartial [IMPLY] busy [PERIOD]
foolish [AND] comfortable [IMPLY] popular [PERIOD]
talkative [IMPLY] comfortable [PERIOD]
wandering [AND] diplomatic [IMPLY] rational [PERIOD]
diplomatic [AND] stormy [IMPLY] wandering [PERIOD]
diplomatic [AND] comfortable [IMPLY] stormy [PERIOD]
busy [AND] troubled [AND] stormy [IMPLY] embarrassed [PERIOD]
rational [AND] diplomatic [AND] stormy [IMPLY] foolish [PERIOD]
troubled [AND] talkative [AND] stupid [IMPLY] careless [PERIOD]
careless [AND] embarrassed [AND] popular [IMPLY] rational [PERIOD]
embarrassed [IMPLY] popular [PERIOD]
embarrassed [AND] troubled [IMPLY] impartial [PERIOD]
talkative [AND] stupid [IMPLY] stormy [PERIOD]
gifted [AND] stupid [AND] careless [IMPLY] impartial [PERIOD]
comfortable [AND] stupid [AND] busy [IMPLY] embarrassed [PERIOD]
popular [AND] embarrassed [AND] rational [IMPLY] condemned [PERIOD]
stupid [AND] careless [AND] rational [IMPLY] diplomatic [PERIOD]
foolish [AND] stupid [IMPLY] rational [PERIOD]
impartial [AND] condemned [IMPLY] gifted [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is embarrassed [PERIOD] Alice is gifted [PERIOD] Alice is zealous [PERIOD] Alice is ugly [PERIOD]
Rules:
troubled [AND] thoughtful [IMPLY] victorious [PERIOD]
friendly [AND] zealous [IMPLY] worrisome [PERIOD]
confident [IMPLY] powerful [PERIOD]
average [AND] naughty [IMPLY] straightforward [PERIOD]
victorious [AND] worrisome [IMPLY] gleaming [PERIOD]
worrisome [AND] ugly [IMPLY] gifted [PERIOD]
ugly [IMPLY] powerful [PERIOD]
zealous [AND] gifted [IMPLY] troubled [PERIOD]
powerful [AND] worrisome [IMPLY] zealous [PERIOD]
average [IMPLY] confident [PERIOD]
gleaming [AND] ugly [IMPLY] victorious [PERIOD]
friendly [AND] ugly [IMPLY] victorious [PERIOD]
confident [AND] worrisome [IMPLY] straightforward [PERIOD]
victorious [AND] embarrassed [AND] thoughtful [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] friendly [PERIOD]
gleaming [AND] naughty [IMPLY] agreeable [PERIOD]
troubled [AND] confident [IMPLY] victorious [PERIOD]
worrisome [IMPLY] confident [PERIOD]
average [IMPLY] gleaming [PERIOD]
agreeable [IMPLY] ugly [PERIOD]
friendly [AND] ugly [AND] troubled [IMPLY] confident [PERIOD]
agreeable [AND] confident [IMPLY] thoughtful [PERIOD]
gleaming [AND] agreeable [AND] friendly [IMPLY] powerful [PERIOD]
thoughtful [AND] gifted [IMPLY] friendly [PERIOD]
naughty [AND] confident [AND] ugly [IMPLY] gleaming [PERIOD]
ugly [AND] powerful [AND] troubled [IMPLY] worrisome [PERIOD]
gleaming [AND] gifted [AND] troubled [IMPLY] zealous [PERIOD]
troubled [AND] zealous [IMPLY] gifted [PERIOD]
gifted [AND] straightforward [AND] gleaming [IMPLY] zealous [PERIOD]
troubled [AND] friendly [IMPLY] average [PERIOD]
naughty [AND] powerful [AND] confident [IMPLY] embarrassed [PERIOD]
thoughtful [AND] troubled [IMPLY] powerful [PERIOD]
average [AND] agreeable [IMPLY] zealous [PERIOD]
gleaming [AND] worrisome [AND] straightforward [IMPLY] zealous [PERIOD]
ugly [IMPLY] naughty [PERIOD]
confident [AND] thoughtful [IMPLY] naughty [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   ugly ⇒ powerful
   zealous ∧ gifted ⇒ troubled
   ugly ∧ powerful ∧ troubled ⇒ worrisome
",1,3
"Facts:  Alice is cooperative [PERIOD] Alice is homely [PERIOD]
Rules:
intellectual [IMPLY] glamorous [PERIOD]
cooperative [AND] uptight [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] uptight [PERIOD]
intellectual [AND] uptight [IMPLY] homely [PERIOD]
cooperative [AND] good [AND] intellectual [IMPLY] glamorous [PERIOD]
homely [IMPLY] adorable [PERIOD]
uptight [AND] adorable [IMPLY] cooperative [PERIOD]
uptight [AND] homely [AND] good [IMPLY] glamorous [PERIOD]
good [AND] intellectual [IMPLY] thoughtless [PERIOD]
glamorous [AND] intellectual [IMPLY] thoughtless [PERIOD]
adorable [AND] intellectual [AND] glamorous [IMPLY] cruel [PERIOD]
adorable [IMPLY] cooperative [PERIOD]
adorable [AND] glamorous [IMPLY] homely [PERIOD]
homely [IMPLY] intellectual [PERIOD]
thoughtless [AND] cooperative [IMPLY] adorable [PERIOD]
cooperative [AND] good [AND] thoughtless [IMPLY] glamorous [PERIOD]
cruel [AND] thoughtless [AND] intellectual [IMPLY] cooperative [PERIOD]
intellectual [AND] thoughtless [AND] uptight [IMPLY] homely [PERIOD]
cooperative [AND] good [IMPLY] cruel [PERIOD]
thoughtless [AND] glamorous [IMPLY] good [PERIOD]
thoughtless [AND] cooperative [IMPLY] cruel [PERIOD]
glamorous [AND] good [IMPLY] uptight [PERIOD]
glamorous [AND] homely [AND] good [IMPLY] cruel [PERIOD]
cruel [AND] uptight [IMPLY] glamorous [PERIOD]
intellectual [IMPLY] thoughtless [PERIOD]
intellectual [IMPLY] adorable [PERIOD]
glamorous [AND] cruel [AND] good [IMPLY] intellectual [PERIOD]
cruel [AND] glamorous [IMPLY] homely [PERIOD]
cruel [AND] intellectual [IMPLY] adorable [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
   homely ⇒ intellectual
   intellectual ⇒ thoughtless
   homely ⇒ intellectual
   intellectual ⇒ glamorous
   thoughtless ∧ glamorous ⇒ good
",1,5
"Facts:  Alice is bored [PERIOD] Alice is hurt [PERIOD] Alice is gleaming [PERIOD] Alice is troubled [PERIOD] Alice is enchanting [PERIOD]
Rules:
bored [AND] elated [AND] gleaming [IMPLY] horrible [PERIOD]
gleaming [AND] bored [AND] hurt [IMPLY] elated [PERIOD]
bored [AND] agreeable [AND] shy [IMPLY] troubled [PERIOD]
elated [AND] gleaming [AND] hurt [IMPLY] horrible [PERIOD]
hurt [AND] agreeable [IMPLY] troubled [PERIOD]
troubled [IMPLY] gleaming [PERIOD]
bored [AND] enchanting [IMPLY] hurt [PERIOD]
shy [AND] gleaming [AND] elated [IMPLY] hurt [PERIOD]
bored [AND] horrible [IMPLY] shy [PERIOD]
horrible [IMPLY] gleaming [PERIOD]
horrible [IMPLY] agreeable [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is sensible [PERIOD] Alice is elated [PERIOD] Alice is lucky [PERIOD] Alice is old-fashioned [PERIOD] Alice is fragile [PERIOD]
Rules:
exuberant [IMPLY] lucky [PERIOD]
fragile [AND] exuberant [IMPLY] enchanting [PERIOD]
old-fashioned [AND] exuberant [AND] elated [IMPLY] fragile [PERIOD]
enchanting [AND] lucky [AND] gorgeous [IMPLY] elated [PERIOD]
lucky [AND] fragile [IMPLY] exuberant [PERIOD]
sensible [AND] enchanting [IMPLY] exuberant [PERIOD]
lucky [AND] exuberant [AND] elated [IMPLY] fragile [PERIOD]
old-fashioned [AND] fragile [AND] lucky [IMPLY] exuberant [PERIOD]
fragile [AND] old-fashioned [IMPLY] exuberant [PERIOD]
lucky [IMPLY] elated [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   lucky ∧ fragile ⇒ exuberant
   fragile ∧ exuberant ⇒ enchanting
",1,2
"Facts: 
Rules:
friendly [AND] perfect [IMPLY] excited [PERIOD]
busy [AND] gleaming [IMPLY] enchanting [PERIOD]
rational [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] rational [PERIOD]
serious [AND] blushing [IMPLY] gleaming [PERIOD]
impartial [IMPLY] frail [PERIOD]
busy [IMPLY] fragile [PERIOD]
friendly [AND] blushing [IMPLY] gleaming [PERIOD]
enchanting [AND] fragile [AND] busy [IMPLY] frail [PERIOD]
frightened [AND] frail [IMPLY] fragile [PERIOD]
busy [IMPLY] frail [PERIOD]
friendly [IMPLY] gleaming [PERIOD]
rational [IMPLY] serious [PERIOD]
frail [AND] blushing [IMPLY] excited [PERIOD]
busy [AND] gleaming [AND] serious [IMPLY] impartial [PERIOD]
serious [IMPLY] frail [PERIOD]
fragile [AND] impartial [AND] frail [IMPLY] blushing [PERIOD]
gleaming [AND] rational [AND] enchanting [IMPLY] impartial [PERIOD]
blushing [AND] friendly [IMPLY] frightened [PERIOD]
perfect [AND] busy [IMPLY] gleaming [PERIOD]
perfect [AND] enchanting [AND] impartial [IMPLY] excited [PERIOD]
impartial [AND] fragile [AND] blushing [IMPLY] friendly [PERIOD]
frightened [IMPLY] enchanting [PERIOD]
serious [IMPLY] rational [PERIOD]
friendly [IMPLY] impartial [PERIOD]
perfect [IMPLY] frightened [PERIOD]
excited [IMPLY] friendly [PERIOD]
blushing [AND] impartial [AND] perfect [IMPLY] frightened [PERIOD]
excited [IMPLY] frail [PERIOD]
excited [AND] perfect [AND] frail [IMPLY] frightened [PERIOD]
frightened [IMPLY] impartial [PERIOD]
gleaming [AND] excited [AND] rational [IMPLY] impartial [PERIOD]
impartial [AND] serious [AND] friendly [IMPLY] frightened [PERIOD]
busy [IMPLY] rational [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   Cannot apply rule “enchanting ⇒ rational” because missing: enchanting.
   Cannot apply rule “serious ⇒ rational” because missing: serious.
   Cannot apply rule “busy ⇒ rational” because missing: busy.
",0,3
"Facts:  Alice is distinct [PERIOD] Alice is tense [PERIOD] Alice is lucky [PERIOD] Alice is zealous [PERIOD] Alice is versatile [PERIOD] Alice is mysterious [PERIOD] Alice is worried [PERIOD]
Rules:
distinct [AND] cruel [AND] frantic [IMPLY] tender [PERIOD]
tender [IMPLY] tidy [PERIOD]
zealous [IMPLY] distinct [PERIOD]
frantic [IMPLY] cruel [PERIOD]
zealous [IMPLY] combative [PERIOD]
helpful [IMPLY] blushing [PERIOD]
tender [AND] easy [AND] gorgeous [IMPLY] lucky [PERIOD]
tidy [AND] combative [AND] blushing [IMPLY] lucky [PERIOD]
clumsy [IMPLY] tender [PERIOD]
zealous [AND] cruel [AND] shiny [IMPLY] tender [PERIOD]
tense [AND] excited [IMPLY] spotless [PERIOD]
easy [IMPLY] victorious [PERIOD]
shiny [AND] confident [AND] mysterious [IMPLY] clumsy [PERIOD]
reserved [AND] outrageous [IMPLY] tired [PERIOD]
stubborn [AND] tidy [IMPLY] combative [PERIOD]
easy [AND] blushing [IMPLY] confident [PERIOD]
combative [AND] shiny [IMPLY] tense [PERIOD]
confident [IMPLY] mysterious [PERIOD]
gorgeous [AND] shiny [AND] innocent [IMPLY] stubborn [PERIOD]
excited [IMPLY] helpful [PERIOD]
clumsy [IMPLY] zealous [PERIOD]
zealous [IMPLY] blushing [PERIOD]
zealous [AND] victorious [AND] tense [IMPLY] blushing [PERIOD]
worried [IMPLY] distinct [PERIOD]
tender [AND] helpful [IMPLY] stubborn [PERIOD]
pessimistic [IMPLY] stubborn [PERIOD]
gorgeous [AND] lucky [IMPLY] victorious [PERIOD]
spotless [AND] helpful [IMPLY] worried [PERIOD]
attractive [AND] gorgeous [AND] combative [IMPLY] tired [PERIOD]
shiny [AND] worried [AND] helpful [IMPLY] victorious [PERIOD]
attractive [IMPLY] mysterious [PERIOD]
pessimistic [AND] helpful [IMPLY] attractive [PERIOD]
distinct [AND] blushing [IMPLY] helpful [PERIOD]
tidy [IMPLY] gorgeous [PERIOD]
tidy [IMPLY] tender [PERIOD]
excited [IMPLY] easy [PERIOD]
innocent [AND] helpful [AND] easy [IMPLY] combative [PERIOD]
innocent [IMPLY] confident [PERIOD]
stubborn [AND] tidy [AND] blushing [IMPLY] zealous [PERIOD]
clumsy [IMPLY] victorious [PERIOD]
spotless [AND] tired [IMPLY] stubborn [PERIOD]
victorious [AND] mysterious [IMPLY] easy [PERIOD]
victorious [AND] tense [IMPLY] zealous [PERIOD]
tense [AND] versatile [AND] stubborn [IMPLY] pessimistic [PERIOD]
outrageous [AND] tense [IMPLY] clumsy [PERIOD]
mysterious [IMPLY] combative [PERIOD]
gorgeous [AND] blushing [AND] easy [IMPLY] helpful [PERIOD]
attractive [AND] easy [AND] shiny [IMPLY] excited [PERIOD]
attractive [IMPLY] blushing [PERIOD]
clumsy [AND] tired [IMPLY] blushing [PERIOD]
combative [AND] outrageous [AND] clumsy [IMPLY] gorgeous [PERIOD]
outrageous [IMPLY] tidy [PERIOD]
innocent [IMPLY] spotless [PERIOD]
blushing [AND] tender [IMPLY] clumsy [PERIOD]
clumsy [AND] reserved [AND] confident [IMPLY] victorious [PERIOD]
tender [AND] gorgeous [AND] zealous [IMPLY] innocent [PERIOD]
confident [AND] distinct [AND] outrageous [IMPLY] versatile [PERIOD]
clumsy [IMPLY] easy [PERIOD]
shiny [AND] combative [IMPLY] easy [PERIOD]
worried [AND] reserved [AND] cruel [IMPLY] victorious [PERIOD]
tense [AND] distinct [IMPLY] blushing [PERIOD]
worried [IMPLY] frantic [PERIOD]
easy [IMPLY] outrageous [PERIOD]
shiny [AND] stubborn [IMPLY] tender [PERIOD]
excited [AND] spotless [AND] gorgeous [IMPLY] victorious [PERIOD]
attractive [AND] reserved [AND] innocent [IMPLY] pessimistic [PERIOD]
outrageous [AND] frantic [AND] spotless [IMPLY] confident [PERIOD]
worried [AND] mysterious [AND] versatile [IMPLY] helpful [PERIOD]
spotless [AND] attractive [IMPLY] shiny [PERIOD]
distinct [AND] combative [IMPLY] worried [PERIOD]
combative [IMPLY] victorious [PERIOD]
tired [AND] combative [AND] pessimistic [IMPLY] distinct [PERIOD]
easy [IMPLY] stubborn [PERIOD]
combative [AND] frantic [IMPLY] versatile [PERIOD]
tired [AND] cruel [AND] blushing [IMPLY] easy [PERIOD]
spotless [AND] innocent [IMPLY] lucky [PERIOD]
tender [AND] blushing [AND] clumsy [IMPLY] tired [PERIOD]
distinct [AND] tense [AND] versatile [IMPLY] outrageous [PERIOD]
excited [IMPLY] innocent [PERIOD]
confident [AND] pessimistic [AND] victorious [IMPLY] outrageous [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   distinct ∧ tense ∧ versatile ⇒ outrageous
   outrageous ∧ tense ⇒ clumsy
   clumsy ⇒ easy
   easy ⇒ stubborn
   tense ∧ versatile ∧ stubborn ⇒ pessimistic
   worried ∧ mysterious ∧ versatile ⇒ helpful
   pessimistic ∧ helpful ⇒ attractive
",1,7
"Facts:  Alice is dull [PERIOD] Alice is inquisitive [PERIOD] Alice is sincere [PERIOD] Alice is helpless [PERIOD] Alice is elegant [PERIOD] Alice is pessimistic [PERIOD]
Rules:
helpless [AND] busy [IMPLY] elegant [PERIOD]
elegant [IMPLY] helpless [PERIOD]
elegant [IMPLY] busy [PERIOD]
pessimistic [AND] busy [IMPLY] inquisitive [PERIOD]
scared [AND] dull [IMPLY] inquisitive [PERIOD]
busy [AND] inquisitive [IMPLY] elegant [PERIOD]
scared [IMPLY] sincere [PERIOD]
pessimistic [IMPLY] helpless [PERIOD]
pessimistic [AND] scared [IMPLY] helpless [PERIOD]
inquisitive [AND] scared [IMPLY] helpless [PERIOD]
sincere [AND] helpless [IMPLY] scared [PERIOD]
inquisitive [IMPLY] scared [PERIOD]
busy [AND] helpless [AND] elegant [IMPLY] scared [PERIOD]
sincere [IMPLY] pessimistic [PERIOD]
scared [IMPLY] dull [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
   inquisitive ⇒ scared
",1,1
"Facts:  Alice is impatient [PERIOD]
Rules:
precious [AND] enchanting [IMPLY] blushing [PERIOD]
agreeable [AND] enchanting [AND] fragile [IMPLY] helpful [PERIOD]
helpful [AND] enchanting [AND] impatient [IMPLY] agreeable [PERIOD]
blushing [IMPLY] impatient [PERIOD]
helpful [IMPLY] impatient [PERIOD]
precious [AND] helpful [AND] loving [IMPLY] enchanting [PERIOD]
long [AND] loving [AND] impatient [IMPLY] fragile [PERIOD]
enchanting [AND] long [AND] impatient [IMPLY] precious [PERIOD]
long [IMPLY] agreeable [PERIOD]
helpful [AND] long [AND] blushing [IMPLY] impatient [PERIOD]
enchanting [IMPLY] loving [PERIOD]
agreeable [AND] impatient [IMPLY] precious [PERIOD]
loving [AND] long [IMPLY] blushing [PERIOD]
helpful [AND] agreeable [IMPLY] impatient [PERIOD]
helpful [AND] fragile [IMPLY] long [PERIOD]
helpful [AND] agreeable [AND] fragile [IMPLY] long [PERIOD]
agreeable [IMPLY] loving [PERIOD]
enchanting [AND] impatient [AND] agreeable [IMPLY] loving [PERIOD]
impatient [IMPLY] precious [PERIOD]
helpful [AND] enchanting [AND] loving [IMPLY] agreeable [PERIOD]
blushing [AND] precious [AND] enchanting [IMPLY] impatient [PERIOD]
fragile [AND] agreeable [IMPLY] precious [PERIOD]
precious [AND] helpful [AND] fragile [IMPLY] enchanting [PERIOD]
agreeable [AND] helpful [AND] impatient [IMPLY] fragile [PERIOD]
long [AND] enchanting [AND] loving [IMPLY] agreeable [PERIOD]
impatient [AND] precious [AND] long [IMPLY] enchanting [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   impatient ⇒ precious
   Cannot apply rule “precious ∧ enchanting ⇒ blushing” because missing: enchanting.
   Cannot apply rule “loving ∧ long ⇒ blushing” because missing: loving, long.
",0,3
"Facts:  Alice is careless [PERIOD] Alice is beautiful [PERIOD]
Rules:
careless [IMPLY] courageous [PERIOD]
cruel [IMPLY] beautiful [PERIOD]
blushing [AND] adorable [IMPLY] cruel [PERIOD]
courageous [AND] adorable [AND] beautiful [IMPLY] thoughtless [PERIOD]
frail [AND] beautiful [AND] cruel [IMPLY] gorgeous [PERIOD]
gorgeous [AND] frail [AND] beautiful [IMPLY] calm [PERIOD]
blushing [AND] careless [IMPLY] gorgeous [PERIOD]
blushing [IMPLY] courageous [PERIOD]
courageous [AND] beautiful [AND] careless [IMPLY] lonely [PERIOD]
courageous [AND] beautiful [AND] blushing [IMPLY] frail [PERIOD]
blushing [IMPLY] adorable [PERIOD]
courageous [AND] careless [IMPLY] lonely [PERIOD]
frail [IMPLY] lonely [PERIOD]
lonely [AND] cruel [AND] beautiful [IMPLY] blushing [PERIOD]
thoughtless [AND] calm [IMPLY] frail [PERIOD]
thoughtless [AND] careless [IMPLY] lonely [PERIOD]
cruel [AND] gorgeous [AND] beautiful [IMPLY] blushing [PERIOD]
calm [AND] careless [IMPLY] adorable [PERIOD]
cruel [AND] careless [AND] frail [IMPLY] thoughtless [PERIOD]
careless [IMPLY] thoughtless [PERIOD]
calm [AND] careless [AND] thoughtless [IMPLY] courageous [PERIOD]
cruel [IMPLY] gorgeous [PERIOD]
careless [AND] gorgeous [AND] blushing [IMPLY] beautiful [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is stupid [PERIOD] Alice is fancy [PERIOD] Alice is zealous [PERIOD] Alice is tense [PERIOD] Alice is innocent [PERIOD] Alice is crowded [PERIOD] Alice is difficult [PERIOD] Alice is gleaming [PERIOD] Alice is diplomatic [PERIOD] Alice is bored [PERIOD] Alice is friendly [PERIOD] Alice is frail [PERIOD] Alice is easy [PERIOD] Alice is helpless [PERIOD] Alice is hypocritical [PERIOD] Alice is embarrassed [PERIOD] Alice is tame [PERIOD] Alice is enchanting [PERIOD] Alice is worrisome [PERIOD] Alice is lonely [PERIOD]
Rules:
hypocritical [AND] frail [AND] sensible [IMPLY] innocent [PERIOD]
stupid [IMPLY] bored [PERIOD]
enchanting [IMPLY] stupid [PERIOD]
lonely [AND] clean [IMPLY] sensible [PERIOD]
difficult [AND] uptight [AND] bored [IMPLY] diplomatic [PERIOD]
embarrassed [IMPLY] enchanting [PERIOD]
gifted [AND] bad-tempered [AND] hypocritical [IMPLY] frail [PERIOD]
gifted [AND] bad-tempered [AND] dull [IMPLY] lonely [PERIOD]
easy [AND] hypocritical [IMPLY] bad-tempered [PERIOD]
uptight [IMPLY] gleaming [PERIOD]
confident [AND] frantic [AND] diplomatic [IMPLY] frail [PERIOD]
tame [IMPLY] gleaming [PERIOD]
gleaming [IMPLY] tame [PERIOD]
bad-tempered [IMPLY] embarrassed [PERIOD]
disgusted [IMPLY] fancy [PERIOD]
uptight [AND] lonely [IMPLY] bad-tempered [PERIOD]
disgusted [IMPLY] embarrassed [PERIOD]
gleaming [AND] stupid [IMPLY] bad-tempered [PERIOD]
difficult [AND] bored [IMPLY] friendly [PERIOD]
dull [AND] gifted [IMPLY] crowded [PERIOD]
hypocritical [AND] gleaming [IMPLY] difficult [PERIOD]
friendly [AND] zealous [IMPLY] frail [PERIOD]
disgusted [IMPLY] zealous [PERIOD]
worrisome [AND] uptight [AND] embarrassed [IMPLY] lonely [PERIOD]
friendly [AND] easy [AND] disgusted [IMPLY] fancy [PERIOD]
talkative [AND] tame [AND] embarrassed [IMPLY] innocent [PERIOD]
diplomatic [IMPLY] dull [PERIOD]
fancy [AND] gifted [IMPLY] innocent [PERIOD]
clean [IMPLY] disgusted [PERIOD]
frail [AND] clean [IMPLY] uptight [PERIOD]
frantic [IMPLY] talkative [PERIOD]
tense [IMPLY] bad-tempered [PERIOD]
fancy [IMPLY] clean [PERIOD]
easy [AND] tense [IMPLY] helpless [PERIOD]
bad-tempered [IMPLY] hypocritical [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is good [PERIOD] Alice is bored [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
crowded [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] crowded [IMPLY] good [PERIOD]
good [AND] bad-tempered [IMPLY] crowded [PERIOD]
crowded [AND] confident [AND] bored [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] confident [PERIOD]
bad-tempered [AND] vivacious [AND] confident [IMPLY] crowded [PERIOD]
vivacious [AND] crowded [IMPLY] beautiful [PERIOD]
beautiful [AND] bad-tempered [IMPLY] crowded [PERIOD]
confident [AND] beautiful [IMPLY] good [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   good ∧ bad-tempered ⇒ crowded
   Cannot apply rule “crowded ∧ confident ∧ bored ⇒ beautiful” because missing: confident.
   good ∧ bad-tempered ⇒ crowded
   Cannot apply rule “vivacious ∧ crowded ⇒ beautiful” because missing: vivacious.
",0,4
"Facts:  Alice is intellectual [PERIOD] Alice is lonely [PERIOD] Alice is wandering [PERIOD] Alice is foolish [PERIOD] Alice is excited [PERIOD] Alice is muddy [PERIOD] Alice is worrisome [PERIOD] Alice is horrible [PERIOD] Alice is shiny [PERIOD] Alice is broad-minded [PERIOD] Alice is mysterious [PERIOD] Alice is ugly [PERIOD] Alice is worried [PERIOD] Alice is inquisitive [PERIOD] Alice is long [PERIOD] Alice is uptight [PERIOD] Alice is stormy [PERIOD] Alice is outstanding [PERIOD]
Rules:
lonely [AND] inquisitive [IMPLY] foolish [PERIOD]
wandering [AND] mysterious [IMPLY] broad-minded [PERIOD]
long [AND] sincere [AND] worrisome [IMPLY] stormy [PERIOD]
broad-minded [IMPLY] worrisome [PERIOD]
lonely [AND] tender [IMPLY] worrisome [PERIOD]
lonely [AND] muddy [AND] outstanding [IMPLY] shiny [PERIOD]
stormy [IMPLY] worrisome [PERIOD]
muddy [IMPLY] uptight [PERIOD]
sincere [AND] aggressive [IMPLY] ugly [PERIOD]
horrible [AND] worrisome [AND] mysterious [IMPLY] inquisitive [PERIOD]
aggressive [IMPLY] uptight [PERIOD]
disobedient [AND] tender [IMPLY] mysterious [PERIOD]
excited [AND] worrisome [IMPLY] mysterious [PERIOD]
disobedient [AND] intellectual [AND] sincere [IMPLY] uptight [PERIOD]
outstanding [AND] wandering [AND] broad-minded [IMPLY] shiny [PERIOD]
outstanding [IMPLY] worried [PERIOD]
broad-minded [AND] tender [AND] foolish [IMPLY] long [PERIOD]
shiny [IMPLY] horrible [PERIOD]
worrisome [IMPLY] sincere [PERIOD]
sincere [AND] outstanding [AND] aggressive [IMPLY] horrible [PERIOD]
muddy [AND] disobedient [IMPLY] tender [PERIOD]
tender [AND] horrible [AND] lonely [IMPLY] worried [PERIOD]
lonely [AND] sincere [IMPLY] stormy [PERIOD]
aggressive [AND] horrible [IMPLY] wandering [PERIOD]
horrible [IMPLY] outstanding [PERIOD]
inquisitive [AND] foolish [IMPLY] horrible [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
   No rule concludes “aggressive.”
",0,1
"Facts: 
Rules:
adorable [AND] homely [IMPLY] shiny [PERIOD]
joyous [AND] long [IMPLY] worried [PERIOD]
hurt [AND] shiny [IMPLY] homely [PERIOD]
silly [AND] adorable [IMPLY] long [PERIOD]
shiny [IMPLY] adorable [PERIOD]
shiny [AND] adorable [IMPLY] silly [PERIOD]
hurt [IMPLY] homely [PERIOD]
adorable [IMPLY] shiny [PERIOD]
joyous [AND] ugly [IMPLY] homely [PERIOD]
hurt [AND] joyous [AND] silly [IMPLY] worried [PERIOD]
long [AND] shiny [IMPLY] homely [PERIOD]
homely [AND] shiny [IMPLY] joyous [PERIOD]
silly [AND] shiny [AND] ugly [IMPLY] joyous [PERIOD]
homely [AND] worried [AND] silly [IMPLY] shiny [PERIOD]
joyous [AND] hurt [AND] silly [IMPLY] ugly [PERIOD]
silly [AND] homely [AND] shiny [IMPLY] worried [PERIOD]
shiny [AND] joyous [AND] adorable [IMPLY] hurt [PERIOD]
ugly [AND] joyous [AND] silly [IMPLY] long [PERIOD]
worried [AND] long [IMPLY] homely [PERIOD]
ugly [AND] adorable [AND] long [IMPLY] joyous [PERIOD]
silly [AND] long [AND] worried [IMPLY] joyous [PERIOD]
long [AND] shiny [AND] adorable [IMPLY] worried [PERIOD]
silly [IMPLY] adorable [PERIOD]
shiny [IMPLY] ugly [PERIOD]
shiny [AND] hurt [IMPLY] long [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
   Cannot apply rule “joyous ∧ long ⇒ worried” because missing: joyous, long.
   Cannot apply rule “hurt ∧ joyous ∧ silly ⇒ worried” because missing: hurt, joyous, silly.
   Cannot apply rule “silly ∧ homely ∧ shiny ⇒ worried” because missing: silly, homely, shiny.
   Cannot apply rule “long ∧ shiny ∧ adorable ⇒ worried” because missing: long, shiny, adorable.
",0,4
"Facts:  Alice is cute [PERIOD] Alice is zealous [PERIOD] Alice is comfortable [PERIOD] Alice is excited [PERIOD] Alice is cruel [PERIOD]
Rules:
stormy [IMPLY] impatient [PERIOD]
cute [AND] zealous [IMPLY] embarrassed [PERIOD]
fancy [AND] talented [IMPLY] cute [PERIOD]
average [AND] embarrassed [AND] troubled [IMPLY] beautiful [PERIOD]
cruel [AND] average [IMPLY] zealous [PERIOD]
joyous [IMPLY] powerful [PERIOD]
beautiful [AND] excited [IMPLY] impatient [PERIOD]
embarrassed [AND] zealous [IMPLY] cruel [PERIOD]
excited [IMPLY] average [PERIOD]
powerful [AND] impartial [IMPLY] fancy [PERIOD]
impatient [IMPLY] impartial [PERIOD]
joyous [IMPLY] talented [PERIOD]
victorious [AND] beautiful [AND] comfortable [IMPLY] powerful [PERIOD]
talented [AND] impartial [IMPLY] zealous [PERIOD]
selfish [AND] comfortable [IMPLY] talented [PERIOD]
embarrassed [IMPLY] cruel [PERIOD]
cute [AND] easy [IMPLY] fearless [PERIOD]
average [AND] joyous [AND] cruel [IMPLY] impatient [PERIOD]
selfish [AND] fearless [IMPLY] zealous [PERIOD]
zealous [AND] selfish [AND] cute [IMPLY] victorious [PERIOD]
cute [IMPLY] fancy [PERIOD]
fancy [AND] impatient [IMPLY] tired [PERIOD]
zealous [IMPLY] cute [PERIOD]
tired [IMPLY] excited [PERIOD]
powerful [IMPLY] talented [PERIOD]
impatient [IMPLY] victorious [PERIOD]
tired [IMPLY] powerful [PERIOD]
fearless [AND] powerful [IMPLY] embarrassed [PERIOD]
comfortable [IMPLY] selfish [PERIOD]
powerful [IMPLY] fearless [PERIOD]
fancy [AND] easy [IMPLY] average [PERIOD]
joyous [AND] selfish [AND] impartial [IMPLY] zealous [PERIOD]
stormy [AND] cute [AND] impartial [IMPLY] impatient [PERIOD]
victorious [IMPLY] impatient [PERIOD]
easy [IMPLY] impatient [PERIOD]
talented [AND] easy [AND] victorious [IMPLY] comfortable [PERIOD]
average [IMPLY] zealous [PERIOD]
selfish [AND] impartial [AND] joyous [IMPLY] talented [PERIOD]
excited [AND] beautiful [IMPLY] zealous [PERIOD]
talented [AND] selfish [IMPLY] average [PERIOD]
selfish [AND] cruel [AND] victorious [IMPLY] tired [PERIOD]
victorious [AND] average [IMPLY] talented [PERIOD]
selfish [IMPLY] zealous [PERIOD]
average [AND] impatient [IMPLY] beautiful [PERIOD]
joyous [AND] average [IMPLY] victorious [PERIOD]
comfortable [AND] embarrassed [AND] cute [IMPLY] fancy [PERIOD]
easy [AND] fearless [IMPLY] joyous [PERIOD]
stormy [AND] excited [AND] impartial [IMPLY] powerful [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   comfortable ⇒ selfish
   zealous ∧ selfish ∧ cute ⇒ victorious
   victorious ⇒ impatient
",1,3
"Facts:  Alice is sincere [PERIOD] Alice is busy [PERIOD] Alice is victorious [PERIOD] Alice is horrible [PERIOD] Alice is broad-minded [PERIOD] Alice is smart [PERIOD] Alice is popular [PERIOD] Alice is rational [PERIOD]
Rules:
bossy [AND] victorious [IMPLY] rational [PERIOD]
broad-minded [AND] rational [IMPLY] thoughtful [PERIOD]
tired [AND] wide-eyed [IMPLY] helpful [PERIOD]
victorious [AND] adorable [IMPLY] helpful [PERIOD]
attentive [AND] popular [AND] bossy [IMPLY] horrible [PERIOD]
attentive [IMPLY] adorable [PERIOD]
smart [IMPLY] embarrassed [PERIOD]
busy [IMPLY] rational [PERIOD]
popular [AND] victorious [IMPLY] smart [PERIOD]
sincere [IMPLY] busy [PERIOD]
sincere [AND] attentive [IMPLY] rational [PERIOD]
thoughtful [AND] bossy [IMPLY] horrible [PERIOD]
rational [AND] sincere [IMPLY] bossy [PERIOD]
helpful [AND] horrible [AND] embarrassed [IMPLY] wide-eyed [PERIOD]
smart [AND] busy [IMPLY] rational [PERIOD]
busy [AND] wide-eyed [IMPLY] embarrassed [PERIOD]
tired [AND] embarrassed [AND] rational [IMPLY] busy [PERIOD]
busy [IMPLY] horrible [PERIOD]
embarrassed [IMPLY] attentive [PERIOD]
smart [AND] thoughtful [IMPLY] tired [PERIOD]
smart [AND] popular [IMPLY] rational [PERIOD]
busy [AND] bossy [IMPLY] sincere [PERIOD]
popular [AND] thoughtful [IMPLY] helpful [PERIOD]
rational [AND] tired [IMPLY] adorable [PERIOD]
popular [IMPLY] helpful [PERIOD]
embarrassed [AND] busy [IMPLY] broad-minded [PERIOD]
bossy [AND] sincere [AND] broad-minded [IMPLY] attentive [PERIOD]
sincere [AND] horrible [AND] rational [IMPLY] victorious [PERIOD]
helpful [IMPLY] wide-eyed [PERIOD]
adorable [IMPLY] attentive [PERIOD]
popular [IMPLY] sincere [PERIOD]
adorable [AND] thoughtful [IMPLY] busy [PERIOD]
broad-minded [AND] tired [AND] victorious [IMPLY] bossy [PERIOD]
bossy [IMPLY] popular [PERIOD]
victorious [AND] adorable [AND] sincere [IMPLY] thoughtful [PERIOD]
embarrassed [IMPLY] smart [PERIOD]
tired [AND] popular [AND] busy [IMPLY] smart [PERIOD]
horrible [AND] sincere [IMPLY] smart [PERIOD]
busy [AND] smart [AND] bossy [IMPLY] wide-eyed [PERIOD]
helpful [AND] rational [IMPLY] busy [PERIOD]
victorious [IMPLY] helpful [PERIOD]
wide-eyed [AND] adorable [AND] bossy [IMPLY] embarrassed [PERIOD]
busy [AND] broad-minded [AND] adorable [IMPLY] helpful [PERIOD]
attentive [AND] broad-minded [AND] helpful [IMPLY] victorious [PERIOD]
victorious [AND] busy [AND] tired [IMPLY] adorable [PERIOD]
attentive [AND] rational [IMPLY] busy [PERIOD]
tired [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] victorious [IMPLY] helpful [PERIOD]
rational [AND] broad-minded [AND] horrible [IMPLY] bossy [PERIOD]
rational [IMPLY] thoughtful [PERIOD]
tired [AND] adorable [AND] wide-eyed [IMPLY] helpful [PERIOD]
sincere [AND] wide-eyed [AND] popular [IMPLY] thoughtful [PERIOD]
popular [AND] attentive [IMPLY] victorious [PERIOD]
Query: Alice is adorable [PERIOD]","Proof chain:
   rational ∧ broad-minded ∧ horrible ⇒ bossy
   bossy ∧ sincere ∧ broad-minded ⇒ attentive
   attentive ⇒ adorable
",1,3
"Facts: 
Rules:
crowded [AND] smart [AND] confident [IMPLY] innocent [PERIOD]
hurt [IMPLY] tender [PERIOD]
alert [AND] smart [IMPLY] zealous [PERIOD]
precious [AND] inquisitive [IMPLY] innocent [PERIOD]
confident [AND] frantic [IMPLY] tender [PERIOD]
precious [IMPLY] muddy [PERIOD]
joyous [AND] frantic [AND] confident [IMPLY] zealous [PERIOD]
inquisitive [AND] frantic [AND] crowded [IMPLY] perfect [PERIOD]
joyous [AND] dishonest [AND] bright [IMPLY] precious [PERIOD]
confident [AND] perfect [IMPLY] dishonest [PERIOD]
inquisitive [AND] joyous [AND] bright [IMPLY] alert [PERIOD]
inquisitive [AND] alert [AND] zealous [IMPLY] joyous [PERIOD]
bright [IMPLY] crowded [PERIOD]
zealous [IMPLY] hurt [PERIOD]
anxious [AND] innocent [AND] crowded [IMPLY] hurt [PERIOD]
frantic [AND] confident [AND] dishonest [IMPLY] muddy [PERIOD]
tender [IMPLY] hurt [PERIOD]
hurt [IMPLY] zealous [PERIOD]
muddy [AND] precious [AND] hurt [IMPLY] confident [PERIOD]
muddy [IMPLY] precious [PERIOD]
inquisitive [AND] joyous [IMPLY] zealous [PERIOD]
tender [IMPLY] muddy [PERIOD]
dishonest [AND] inquisitive [IMPLY] confident [PERIOD]
crowded [IMPLY] inquisitive [PERIOD]
crowded [AND] muddy [IMPLY] tender [PERIOD]
bright [AND] joyous [AND] frantic [IMPLY] smart [PERIOD]
hurt [AND] muddy [AND] frantic [IMPLY] confident [PERIOD]
precious [IMPLY] perfect [PERIOD]
bright [IMPLY] confident [PERIOD]
bright [AND] innocent [AND] joyous [IMPLY] anxious [PERIOD]
confident [AND] muddy [AND] tender [IMPLY] inquisitive [PERIOD]
perfect [AND] bright [AND] hurt [IMPLY] smart [PERIOD]
hurt [AND] bright [AND] confident [IMPLY] zealous [PERIOD]
zealous [AND] inquisitive [IMPLY] smart [PERIOD]
frantic [AND] smart [IMPLY] alert [PERIOD]
precious [AND] innocent [AND] crowded [IMPLY] bright [PERIOD]
precious [AND] dishonest [IMPLY] perfect [PERIOD]
tender [AND] innocent [AND] hurt [IMPLY] perfect [PERIOD]
joyous [AND] tender [IMPLY] innocent [PERIOD]
bright [IMPLY] perfect [PERIOD]
smart [AND] tender [IMPLY] muddy [PERIOD]
innocent [AND] perfect [IMPLY] bright [PERIOD]
smart [AND] confident [AND] alert [IMPLY] precious [PERIOD]
perfect [IMPLY] innocent [PERIOD]
confident [IMPLY] frantic [PERIOD]
anxious [AND] tender [AND] muddy [IMPLY] alert [PERIOD]
muddy [AND] precious [IMPLY] frantic [PERIOD]
anxious [AND] inquisitive [IMPLY] muddy [PERIOD]
innocent [AND] zealous [IMPLY] precious [PERIOD]
dishonest [IMPLY] innocent [PERIOD]
joyous [IMPLY] inquisitive [PERIOD]
confident [AND] crowded [AND] bright [IMPLY] precious [PERIOD]
frantic [IMPLY] smart [PERIOD]
hurt [AND] precious [IMPLY] alert [PERIOD]
dishonest [IMPLY] inquisitive [PERIOD]
tender [AND] joyous [IMPLY] inquisitive [PERIOD]
frantic [AND] joyous [IMPLY] inquisitive [PERIOD]
frantic [AND] anxious [IMPLY] perfect [PERIOD]
confident [AND] muddy [IMPLY] innocent [PERIOD]
confident [IMPLY] precious [PERIOD]
alert [AND] crowded [AND] bright [IMPLY] zealous [PERIOD]
hurt [IMPLY] perfect [PERIOD]
muddy [AND] crowded [AND] inquisitive [IMPLY] tender [PERIOD]
confident [AND] inquisitive [IMPLY] tender [PERIOD]
tender [AND] precious [IMPLY] bright [PERIOD]
anxious [AND] perfect [AND] inquisitive [IMPLY] zealous [PERIOD]
anxious [AND] dishonest [IMPLY] alert [PERIOD]
zealous [AND] dishonest [IMPLY] precious [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
   Cannot apply rule “alert ∧ smart ⇒ zealous” because missing: alert, smart.
   Cannot apply rule “joyous ∧ frantic ∧ confident ⇒ zealous” because missing: joyous, frantic, confident.
   Cannot apply rule “hurt ⇒ zealous” because missing: hurt.
   Cannot apply rule “inquisitive ∧ joyous ⇒ zealous” because missing: inquisitive, joyous.
   Cannot apply rule “hurt ∧ bright ∧ confident ⇒ zealous” because missing: hurt, bright, confident.
   Cannot apply rule “alert ∧ crowded ∧ bright ⇒ zealous” because missing: alert, crowded, bright.
   Cannot apply rule “anxious ∧ perfect ∧ inquisitive ⇒ zealous” because missing: anxious, perfect, inquisitive.
",0,7
"Facts:  Alice is glamorous [PERIOD] Alice is confused [PERIOD] Alice is condemned [PERIOD]
Rules:
bright [IMPLY] clean [PERIOD]
clean [IMPLY] bossy [PERIOD]
confused [AND] bright [IMPLY] bossy [PERIOD]
bad-tempered [AND] confused [IMPLY] courageous [PERIOD]
clean [AND] glamorous [IMPLY] confused [PERIOD]
bright [AND] bad-tempered [IMPLY] glamorous [PERIOD]
bright [AND] bad-tempered [IMPLY] courageous [PERIOD]
glamorous [IMPLY] confused [PERIOD]
glamorous [IMPLY] bossy [PERIOD]
condemned [IMPLY] bossy [PERIOD]
condemned [IMPLY] bright [PERIOD]
bossy [IMPLY] condemned [PERIOD]
confused [AND] courageous [AND] bad-tempered [IMPLY] bossy [PERIOD]
bossy [AND] glamorous [IMPLY] courageous [PERIOD]
clean [AND] bright [IMPLY] courageous [PERIOD]
confused [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] courageous [IMPLY] bright [PERIOD]
bright [IMPLY] confused [PERIOD]
glamorous [AND] bad-tempered [IMPLY] confused [PERIOD]
courageous [AND] confused [IMPLY] condemned [PERIOD]
courageous [AND] bright [AND] bossy [IMPLY] glamorous [PERIOD]
courageous [AND] bossy [IMPLY] glamorous [PERIOD]
clean [AND] condemned [IMPLY] glamorous [PERIOD]
clean [AND] courageous [AND] bossy [IMPLY] glamorous [PERIOD]
condemned [IMPLY] courageous [PERIOD]
bright [AND] clean [IMPLY] bad-tempered [PERIOD]
bossy [AND] clean [AND] glamorous [IMPLY] bright [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is glamorous [PERIOD] Alice is pessimistic [PERIOD] Alice is zealous [PERIOD] Alice is witty [PERIOD] Alice is worrisome [PERIOD] Alice is cruel [PERIOD] Alice is silly [PERIOD] Alice is courageous [PERIOD] Alice is tired [PERIOD] Alice is beautiful [PERIOD] Alice is foolish [PERIOD] Alice is unpleasant [PERIOD] Alice is elated [PERIOD] Alice is stubborn [PERIOD] Alice is sleepy [PERIOD] Alice is disgusted [PERIOD]
Rules:
zealous [IMPLY] wandering [PERIOD]
pessimistic [AND] cooperative [AND] witty [IMPLY] sensible [PERIOD]
pessimistic [AND] unpleasant [IMPLY] glamorous [PERIOD]
reserved [AND] stupid [AND] witty [IMPLY] unpleasant [PERIOD]
naughty [AND] stupid [AND] attentive [IMPLY] courageous [PERIOD]
attentive [IMPLY] disgusted [PERIOD]
cruel [IMPLY] pessimistic [PERIOD]
beautiful [AND] silly [AND] zealous [IMPLY] pessimistic [PERIOD]
reserved [AND] beautiful [AND] witty [IMPLY] cruel [PERIOD]
stupid [AND] confident [AND] wandering [IMPLY] pessimistic [PERIOD]
witty [AND] uptight [AND] confident [IMPLY] foolish [PERIOD]
foolish [IMPLY] elated [PERIOD]
stubborn [AND] elated [IMPLY] stupid [PERIOD]
stubborn [AND] pessimistic [AND] worrisome [IMPLY] courageous [PERIOD]
courageous [IMPLY] naughty [PERIOD]
hypocritical [AND] uptight [IMPLY] sensible [PERIOD]
wandering [AND] difficult [AND] elated [IMPLY] jittery [PERIOD]
witty [AND] glamorous [AND] zealous [IMPLY] wandering [PERIOD]
beautiful [AND] jittery [AND] worrisome [IMPLY] cruel [PERIOD]
silly [AND] tired [IMPLY] jittery [PERIOD]
silly [IMPLY] wandering [PERIOD]
hypocritical [IMPLY] foolish [PERIOD]
difficult [AND] cruel [IMPLY] uptight [PERIOD]
cooperative [AND] witty [IMPLY] glamorous [PERIOD]
disgusted [AND] courageous [AND] silly [IMPLY] jittery [PERIOD]
uptight [AND] difficult [IMPLY] courageous [PERIOD]
disgusted [AND] stupid [IMPLY] wandering [PERIOD]
uptight [AND] witty [IMPLY] disgusted [PERIOD]
attentive [AND] zealous [AND] glamorous [IMPLY] stubborn [PERIOD]
zealous [AND] naughty [IMPLY] elated [PERIOD]
confident [AND] elated [AND] worrisome [IMPLY] pessimistic [PERIOD]
glamorous [IMPLY] stupid [PERIOD]
reserved [AND] sleepy [AND] cruel [IMPLY] stupid [PERIOD]
unpleasant [AND] cooperative [IMPLY] elated [PERIOD]
uptight [IMPLY] disgusted [PERIOD]
hypocritical [AND] sensible [AND] pessimistic [IMPLY] attentive [PERIOD]
attentive [AND] cruel [AND] cooperative [IMPLY] confident [PERIOD]
silly [AND] elated [AND] confident [IMPLY] glamorous [PERIOD]
difficult [AND] elated [IMPLY] hypocritical [PERIOD]
courageous [AND] confident [IMPLY] worrisome [PERIOD]
reserved [AND] stubborn [AND] foolish [IMPLY] difficult [PERIOD]
glamorous [AND] uptight [IMPLY] naughty [PERIOD]
silly [AND] glamorous [IMPLY] unpleasant [PERIOD]
wandering [AND] disgusted [IMPLY] foolish [PERIOD]
courageous [IMPLY] jittery [PERIOD]
zealous [AND] witty [IMPLY] courageous [PERIOD]
sensible [AND] confident [AND] cruel [IMPLY] foolish [PERIOD]
cooperative [IMPLY] hypocritical [PERIOD]
foolish [AND] hypocritical [IMPLY] witty [PERIOD]
glamorous [AND] uptight [AND] tired [IMPLY] cooperative [PERIOD]
zealous [AND] attentive [IMPLY] pessimistic [PERIOD]
unpleasant [AND] pessimistic [AND] glamorous [IMPLY] zealous [PERIOD]
hypocritical [AND] courageous [IMPLY] silly [PERIOD]
witty [IMPLY] foolish [PERIOD]
stubborn [AND] witty [AND] elated [IMPLY] pessimistic [PERIOD]
elated [AND] jittery [IMPLY] zealous [PERIOD]
difficult [AND] tired [IMPLY] reserved [PERIOD]
jittery [AND] difficult [AND] wandering [IMPLY] pessimistic [PERIOD]
attentive [IMPLY] courageous [PERIOD]
sensible [AND] witty [AND] confident [IMPLY] beautiful [PERIOD]
wandering [AND] sleepy [IMPLY] witty [PERIOD]
pessimistic [AND] worrisome [IMPLY] beautiful [PERIOD]
attentive [AND] pessimistic [IMPLY] sleepy [PERIOD]
foolish [AND] confident [AND] pessimistic [IMPLY] courageous [PERIOD]
elated [IMPLY] zealous [PERIOD]
beautiful [IMPLY] silly [PERIOD]
witty [IMPLY] zealous [PERIOD]
reserved [AND] tired [IMPLY] wandering [PERIOD]
difficult [AND] confident [IMPLY] witty [PERIOD]
wandering [AND] beautiful [IMPLY] disgusted [PERIOD]
stubborn [AND] tired [IMPLY] beautiful [PERIOD]
pessimistic [AND] naughty [IMPLY] difficult [PERIOD]
cooperative [AND] pessimistic [IMPLY] tired [PERIOD]
courageous [AND] worrisome [AND] disgusted [IMPLY] cruel [PERIOD]
hypocritical [AND] tired [IMPLY] disgusted [PERIOD]
tired [AND] witty [IMPLY] attentive [PERIOD]
reserved [AND] beautiful [AND] pessimistic [IMPLY] glamorous [PERIOD]
zealous [AND] cooperative [AND] courageous [IMPLY] beautiful [PERIOD]
sensible [IMPLY] courageous [PERIOD]
hypocritical [AND] elated [IMPLY] pessimistic [PERIOD]
stupid [AND] cruel [IMPLY] pessimistic [PERIOD]
sleepy [AND] silly [AND] jittery [IMPLY] worrisome [PERIOD]
sleepy [AND] confident [AND] zealous [IMPLY] courageous [PERIOD]
stupid [AND] pessimistic [IMPLY] wandering [PERIOD]
jittery [IMPLY] witty [PERIOD]
tired [AND] beautiful [IMPLY] foolish [PERIOD]
uptight [AND] silly [AND] glamorous [IMPLY] courageous [PERIOD]
cooperative [AND] stubborn [IMPLY] worrisome [PERIOD]
stubborn [IMPLY] wandering [PERIOD]
cooperative [IMPLY] sleepy [PERIOD]
courageous [AND] sensible [IMPLY] cooperative [PERIOD]
worrisome [AND] cruel [AND] stupid [IMPLY] tired [PERIOD]
unpleasant [IMPLY] tired [PERIOD]
zealous [AND] disgusted [IMPLY] naughty [PERIOD]
stupid [AND] stubborn [AND] unpleasant [IMPLY] tired [PERIOD]
jittery [AND] unpleasant [IMPLY] confident [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   courageous ⇒ naughty
   pessimistic ∧ naughty ⇒ difficult
   difficult ∧ elated ⇒ hypocritical
   courageous ⇒ naughty
   pessimistic ∧ naughty ⇒ difficult
   difficult ∧ cruel ⇒ uptight
   hypocritical ∧ uptight ⇒ sensible
",1,7
"Facts:  Alice is elated [PERIOD] Alice is popular [PERIOD] Alice is spotless [PERIOD] Alice is adorable [PERIOD] Alice is hurt [PERIOD] Alice is polite [PERIOD] Alice is friendly [PERIOD] Alice is wrong [PERIOD] Alice is long [PERIOD] Alice is frail [PERIOD] Alice is thoughtless [PERIOD] Alice is stupid [PERIOD] Alice is easy [PERIOD] Alice is frantic [PERIOD] Alice is talented [PERIOD] Alice is old-fashioned [PERIOD] Alice is bossy [PERIOD] Alice is mysterious [PERIOD] Alice is amused [PERIOD] Alice is famous [PERIOD] Alice is excited [PERIOD]
Rules:
elated [AND] long [AND] old-fashioned [IMPLY] famous [PERIOD]
loving [AND] frail [AND] easy [IMPLY] polite [PERIOD]
long [IMPLY] excited [PERIOD]
adorable [AND] loving [AND] wrong [IMPLY] old-fashioned [PERIOD]
long [IMPLY] thoughtless [PERIOD]
spotless [AND] old-fashioned [IMPLY] amused [PERIOD]
loving [IMPLY] thoughtless [PERIOD]
famous [AND] polite [IMPLY] frantic [PERIOD]
long [AND] frantic [AND] frail [IMPLY] bossy [PERIOD]
friendly [IMPLY] wrong [PERIOD]
old-fashioned [AND] elated [IMPLY] hurt [PERIOD]
hurt [AND] polite [AND] easy [IMPLY] friendly [PERIOD]
spotless [IMPLY] easy [PERIOD]
bossy [AND] amused [IMPLY] frantic [PERIOD]
talented [IMPLY] stupid [PERIOD]
inexpensive [IMPLY] frail [PERIOD]
hurt [AND] adorable [AND] frail [IMPLY] popular [PERIOD]
mysterious [IMPLY] frail [PERIOD]
thoughtless [AND] frail [IMPLY] inexpensive [PERIOD]
elated [IMPLY] mysterious [PERIOD]
easy [IMPLY] inexpensive [PERIOD]
frantic [IMPLY] amused [PERIOD]
elated [IMPLY] popular [PERIOD]
popular [AND] inexpensive [IMPLY] loving [PERIOD]
bossy [AND] frantic [IMPLY] easy [PERIOD]
popular [IMPLY] bossy [PERIOD]
adorable [IMPLY] hurt [PERIOD]
thoughtless [IMPLY] old-fashioned [PERIOD]
friendly [AND] frail [IMPLY] polite [PERIOD]
wrong [AND] friendly [AND] excited [IMPLY] thoughtless [PERIOD]
bossy [AND] stupid [AND] famous [IMPLY] excited [PERIOD]
hurt [AND] famous [IMPLY] thoughtless [PERIOD]
frail [AND] mysterious [IMPLY] long [PERIOD]
polite [IMPLY] mysterious [PERIOD]
stupid [AND] polite [IMPLY] friendly [PERIOD]
loving [AND] inexpensive [IMPLY] excited [PERIOD]
hurt [AND] old-fashioned [AND] wrong [IMPLY] frantic [PERIOD]
mysterious [AND] famous [AND] long [IMPLY] spotless [PERIOD]
inexpensive [AND] excited [IMPLY] frantic [PERIOD]
loving [AND] hurt [AND] popular [IMPLY] spotless [PERIOD]
famous [IMPLY] thoughtless [PERIOD]
spotless [AND] old-fashioned [IMPLY] bossy [PERIOD]
popular [IMPLY] easy [PERIOD]
mysterious [AND] elated [IMPLY] stupid [PERIOD]
frantic [IMPLY] polite [PERIOD]
thoughtless [IMPLY] frantic [PERIOD]
easy [IMPLY] popular [PERIOD]
hurt [AND] elated [AND] popular [IMPLY] famous [PERIOD]
easy [AND] thoughtless [IMPLY] inexpensive [PERIOD]
long [AND] frail [AND] famous [IMPLY] inexpensive [PERIOD]
hurt [AND] thoughtless [IMPLY] wrong [PERIOD]
talented [AND] inexpensive [AND] hurt [IMPLY] old-fashioned [PERIOD]
long [AND] mysterious [AND] spotless [IMPLY] polite [PERIOD]
loving [AND] famous [IMPLY] popular [PERIOD]
talented [IMPLY] thoughtless [PERIOD]
old-fashioned [AND] thoughtless [IMPLY] popular [PERIOD]
easy [IMPLY] wrong [PERIOD]
adorable [AND] stupid [AND] thoughtless [IMPLY] elated [PERIOD]
elated [AND] bossy [AND] amused [IMPLY] old-fashioned [PERIOD]
excited [AND] famous [IMPLY] popular [PERIOD]
bossy [IMPLY] wrong [PERIOD]
loving [IMPLY] wrong [PERIOD]
hurt [AND] polite [AND] famous [IMPLY] bossy [PERIOD]
adorable [AND] amused [IMPLY] mysterious [PERIOD]
inexpensive [AND] excited [IMPLY] old-fashioned [PERIOD]
easy [AND] talented [AND] bossy [IMPLY] frantic [PERIOD]
inexpensive [IMPLY] frantic [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   easy ⇒ inexpensive
   popular ∧ inexpensive ⇒ loving
",1,2
"Facts:  Alice is helpful [PERIOD] Alice is vivacious [PERIOD] Alice is reserved [PERIOD]
Rules:
reserved [AND] naughty [IMPLY] bad-tempered [PERIOD]
vivacious [IMPLY] wide-eyed [PERIOD]
polite [AND] joyous [IMPLY] bad-tempered [PERIOD]
vivacious [AND] helpful [AND] polite [IMPLY] glamorous [PERIOD]
bad-tempered [AND] helpful [AND] reserved [IMPLY] careless [PERIOD]
polite [AND] naughty [AND] wide-eyed [IMPLY] careless [PERIOD]
polite [IMPLY] joyous [PERIOD]
polite [IMPLY] reserved [PERIOD]
vivacious [IMPLY] polite [PERIOD]
helpful [AND] joyous [AND] bad-tempered [IMPLY] glamorous [PERIOD]
vivacious [AND] polite [IMPLY] bad-tempered [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   vivacious ⇒ polite
   vivacious ∧ polite ⇒ bad-tempered
   bad-tempered ∧ helpful ∧ reserved ⇒ careless
",1,3
"Facts:  Alice is proud [PERIOD]
Rules:
dishonest [IMPLY] hypocritical [PERIOD]
dishonest [IMPLY] hilarious [PERIOD]
dishonest [IMPLY] grumpy [PERIOD]
proud [AND] hypocritical [IMPLY] precious [PERIOD]
grumpy [AND] dishonest [IMPLY] precious [PERIOD]
silly [AND] precious [AND] nervous [IMPLY] inquisitive [PERIOD]
precious [AND] inquisitive [AND] hypocritical [IMPLY] nervous [PERIOD]
precious [AND] silly [AND] dishonest [IMPLY] grumpy [PERIOD]
nervous [AND] silly [AND] dishonest [IMPLY] precious [PERIOD]
inquisitive [IMPLY] proud [PERIOD]
grumpy [IMPLY] precious [PERIOD]
nervous [IMPLY] dishonest [PERIOD]
hilarious [AND] proud [AND] inquisitive [IMPLY] precious [PERIOD]
hypocritical [IMPLY] nervous [PERIOD]
inquisitive [AND] hilarious [IMPLY] dishonest [PERIOD]
dishonest [IMPLY] silly [PERIOD]
proud [AND] silly [AND] hilarious [IMPLY] grumpy [PERIOD]
hilarious [IMPLY] precious [PERIOD]
grumpy [AND] nervous [AND] precious [IMPLY] inquisitive [PERIOD]
hypocritical [AND] hilarious [AND] nervous [IMPLY] silly [PERIOD]
silly [IMPLY] nervous [PERIOD]
dishonest [AND] nervous [IMPLY] grumpy [PERIOD]
nervous [AND] hilarious [IMPLY] hypocritical [PERIOD]
inquisitive [AND] hypocritical [IMPLY] precious [PERIOD]
precious [AND] hilarious [AND] silly [IMPLY] grumpy [PERIOD]
nervous [AND] hilarious [AND] proud [IMPLY] hypocritical [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   Cannot apply rule “dishonest ⇒ grumpy” because missing: dishonest.
   Cannot apply rule “precious ∧ silly ∧ dishonest ⇒ grumpy” because missing: precious, silly, dishonest.
   Cannot apply rule “proud ∧ silly ∧ hilarious ⇒ grumpy” because missing: silly, hilarious.
   Cannot apply rule “dishonest ∧ nervous ⇒ grumpy” because missing: dishonest, nervous.
   Cannot apply rule “precious ∧ hilarious ∧ silly ⇒ grumpy” because missing: precious, hilarious, silly.
",0,5
"Facts: 
Rules:
muddy [AND] reserved [IMPLY] clean [PERIOD]
clean [AND] unpleasant [IMPLY] muddy [PERIOD]
reserved [AND] charming [IMPLY] muddy [PERIOD]
muddy [AND] clean [AND] charming [IMPLY] unpleasant [PERIOD]
muddy [AND] unpleasant [IMPLY] charming [PERIOD]
clean [AND] muddy [IMPLY] charming [PERIOD]
unpleasant [IMPLY] muddy [PERIOD]
clean [IMPLY] charming [PERIOD]
unpleasant [AND] muddy [AND] reserved [IMPLY] clean [PERIOD]
reserved [AND] unpleasant [IMPLY] muddy [PERIOD]
unpleasant [IMPLY] clean [PERIOD]
charming [AND] muddy [IMPLY] clean [PERIOD]
reserved [AND] muddy [AND] clean [IMPLY] unpleasant [PERIOD]
charming [AND] unpleasant [AND] muddy [IMPLY] reserved [PERIOD]
reserved [AND] charming [IMPLY] unpleasant [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   Cannot apply rule “muddy ∧ reserved ⇒ clean” because missing: muddy, reserved.
   Cannot apply rule “unpleasant ∧ muddy ∧ reserved ⇒ clean” because missing: unpleasant, muddy, reserved.
   Cannot apply rule “unpleasant ⇒ clean” because missing: unpleasant.
   Cannot apply rule “charming ∧ muddy ⇒ clean” because missing: charming, muddy.
",0,4
"Facts:  Alice is charming [PERIOD] Alice is precious [PERIOD] Alice is tired [PERIOD] Alice is outrageous [PERIOD] Alice is nervous [PERIOD] Alice is spotless [PERIOD] Alice is comfortable [PERIOD] Alice is modern [PERIOD] Alice is distinct [PERIOD] Alice is curious [PERIOD] Alice is exuberant [PERIOD] Alice is shy [PERIOD] Alice is polite [PERIOD] Alice is mean [PERIOD] Alice is quaint [PERIOD] Alice is friendly [PERIOD] Alice is clumsy [PERIOD] Alice is frantic [PERIOD] Alice is bored [PERIOD] Alice is proud [PERIOD] Alice is strange [PERIOD] Alice is powerful [PERIOD] Alice is messy [PERIOD] Alice is confused [PERIOD] Alice is difficult [PERIOD]
Rules:
frantic [AND] messy [IMPLY] tired [PERIOD]
frantic [IMPLY] witty [PERIOD]
precious [IMPLY] tired [PERIOD]
comfortable [AND] spotless [IMPLY] frantic [PERIOD]
confused [IMPLY] frantic [PERIOD]
distinct [AND] difficult [IMPLY] clumsy [PERIOD]
modern [AND] tired [IMPLY] silly [PERIOD]
precious [AND] witty [AND] smart [IMPLY] silly [PERIOD]
charming [IMPLY] outrageous [PERIOD]
distinct [AND] friendly [IMPLY] shy [PERIOD]
proud [AND] confused [IMPLY] polite [PERIOD]
silly [AND] charming [IMPLY] curious [PERIOD]
distinct [AND] mean [AND] confused [IMPLY] frantic [PERIOD]
smart [IMPLY] bored [PERIOD]
curious [IMPLY] messy [PERIOD]
precious [AND] confused [AND] charming [IMPLY] shy [PERIOD]
curious [IMPLY] frantic [PERIOD]
witty [IMPLY] proud [PERIOD]
distinct [AND] confused [IMPLY] smart [PERIOD]
curious [AND] modern [AND] bored [IMPLY] nervous [PERIOD]
messy [IMPLY] shy [PERIOD]
curious [AND] frantic [AND] difficult [IMPLY] mean [PERIOD]
bored [AND] modern [IMPLY] distinct [PERIOD]
charming [IMPLY] tired [PERIOD]
curious [IMPLY] smart [PERIOD]
powerful [AND] difficult [IMPLY] distinct [PERIOD]
exuberant [AND] quaint [IMPLY] modern [PERIOD]
confused [AND] tired [IMPLY] comfortable [PERIOD]
confused [AND] polite [AND] exuberant [IMPLY] nervous [PERIOD]
precious [AND] distinct [IMPLY] proud [PERIOD]
messy [AND] exuberant [IMPLY] witty [PERIOD]
witty [AND] charming [AND] spotless [IMPLY] frantic [PERIOD]
friendly [AND] comfortable [IMPLY] modern [PERIOD]
tired [AND] shy [AND] mean [IMPLY] spotless [PERIOD]
precious [IMPLY] powerful [PERIOD]
bored [AND] modern [AND] nervous [IMPLY] confused [PERIOD]
modern [AND] polite [AND] powerful [IMPLY] comfortable [PERIOD]
precious [IMPLY] friendly [PERIOD]
nervous [AND] witty [IMPLY] tired [PERIOD]
precious [IMPLY] difficult [PERIOD]
comfortable [AND] tired [AND] witty [IMPLY] friendly [PERIOD]
modern [AND] nervous [IMPLY] silly [PERIOD]
quaint [AND] comfortable [IMPLY] powerful [PERIOD]
smart [AND] confused [IMPLY] exuberant [PERIOD]
silly [AND] smart [AND] quaint [IMPLY] frantic [PERIOD]
exuberant [AND] precious [AND] shy [IMPLY] distinct [PERIOD]
comfortable [IMPLY] clumsy [PERIOD]
modern [AND] exuberant [IMPLY] quaint [PERIOD]
quaint [AND] clumsy [IMPLY] proud [PERIOD]
strange [AND] friendly [AND] mean [IMPLY] comfortable [PERIOD]
distinct [IMPLY] witty [PERIOD]
confused [AND] difficult [IMPLY] strange [PERIOD]
proud [AND] curious [AND] confused [IMPLY] distinct [PERIOD]
mean [AND] bored [IMPLY] strange [PERIOD]
messy [AND] modern [IMPLY] precious [PERIOD]
tired [AND] distinct [AND] smart [IMPLY] mean [PERIOD]
messy [AND] spotless [AND] modern [IMPLY] charming [PERIOD]
curious [AND] bored [AND] strange [IMPLY] precious [PERIOD]
spotless [AND] difficult [IMPLY] distinct [PERIOD]
bored [IMPLY] exuberant [PERIOD]
confused [AND] friendly [AND] comfortable [IMPLY] modern [PERIOD]
shy [AND] outrageous [IMPLY] precious [PERIOD]
friendly [IMPLY] modern [PERIOD]
tired [IMPLY] quaint [PERIOD]
precious [AND] spotless [AND] quaint [IMPLY] strange [PERIOD]
shy [AND] curious [IMPLY] exuberant [PERIOD]
curious [AND] frantic [IMPLY] modern [PERIOD]
polite [AND] spotless [AND] smart [IMPLY] clumsy [PERIOD]
modern [AND] exuberant [AND] powerful [IMPLY] distinct [PERIOD]
bored [IMPLY] quaint [PERIOD]
tired [IMPLY] frantic [PERIOD]
witty [IMPLY] distinct [PERIOD]
mean [AND] messy [IMPLY] shy [PERIOD]
friendly [IMPLY] shy [PERIOD]
difficult [AND] proud [IMPLY] quaint [PERIOD]
comfortable [AND] modern [IMPLY] difficult [PERIOD]
charming [AND] difficult [IMPLY] nervous [PERIOD]
bored [AND] spotless [IMPLY] powerful [PERIOD]
powerful [AND] proud [AND] shy [IMPLY] spotless [PERIOD]
distinct [AND] nervous [IMPLY] silly [PERIOD]
shy [AND] silly [AND] witty [IMPLY] frantic [PERIOD]
smart [IMPLY] curious [PERIOD]
proud [IMPLY] tired [PERIOD]
clumsy [AND] spotless [IMPLY] smart [PERIOD]
nervous [AND] modern [IMPLY] tired [PERIOD]
messy [AND] shy [AND] mean [IMPLY] difficult [PERIOD]
smart [AND] mean [IMPLY] quaint [PERIOD]
nervous [AND] silly [IMPLY] spotless [PERIOD]
difficult [IMPLY] strange [PERIOD]
clumsy [AND] silly [IMPLY] exuberant [PERIOD]
nervous [IMPLY] precious [PERIOD]
powerful [AND] polite [IMPLY] comfortable [PERIOD]
spotless [IMPLY] polite [PERIOD]
powerful [AND] clumsy [AND] quaint [IMPLY] difficult [PERIOD]
strange [AND] proud [IMPLY] spotless [PERIOD]
nervous [AND] bored [AND] precious [IMPLY] quaint [PERIOD]
bored [AND] precious [AND] quaint [IMPLY] mean [PERIOD]
difficult [AND] shy [AND] comfortable [IMPLY] quaint [PERIOD]
modern [AND] mean [IMPLY] distinct [PERIOD]
proud [AND] nervous [IMPLY] mean [PERIOD]
Query: Alice is curious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is broad-minded [PERIOD] Alice is uptight [PERIOD] Alice is wrong [PERIOD] Alice is ambitious [PERIOD] Alice is loving [PERIOD] Alice is quaint [PERIOD] Alice is sleepy [PERIOD] Alice is exuberant [PERIOD] Alice is good [PERIOD] Alice is modern [PERIOD] Alice is sensible [PERIOD] Alice is careless [PERIOD] Alice is comfortable [PERIOD] Alice is frightened [PERIOD] Alice is distinct [PERIOD] Alice is talented [PERIOD] Alice is agreeable [PERIOD] Alice is cute [PERIOD] Alice is light [PERIOD]
Rules:
beautiful [IMPLY] distinct [PERIOD]
wandering [AND] loving [IMPLY] quaint [PERIOD]
modern [AND] adorable [IMPLY] sleepy [PERIOD]
bright [AND] uptight [AND] ambitious [IMPLY] agreeable [PERIOD]
bright [IMPLY] talented [PERIOD]
distinct [IMPLY] talented [PERIOD]
adorable [AND] broad-minded [AND] cute [IMPLY] careless [PERIOD]
sensible [AND] exuberant [AND] sleepy [IMPLY] beautiful [PERIOD]
sleepy [AND] uptight [IMPLY] cooperative [PERIOD]
agreeable [IMPLY] loving [PERIOD]
sensible [AND] agreeable [IMPLY] light [PERIOD]
careless [AND] quaint [IMPLY] beautiful [PERIOD]
careless [IMPLY] cute [PERIOD]
cute [IMPLY] strange [PERIOD]
adorable [IMPLY] uptight [PERIOD]
lonely [IMPLY] ambitious [PERIOD]
agreeable [AND] sleepy [IMPLY] distinct [PERIOD]
careless [AND] bright [IMPLY] sleepy [PERIOD]
frightened [AND] distinct [IMPLY] broad-minded [PERIOD]
rational [IMPLY] adorable [PERIOD]
comfortable [IMPLY] sleepy [PERIOD]
talented [AND] uptight [IMPLY] wrong [PERIOD]
exuberant [IMPLY] cute [PERIOD]
uptight [AND] strange [IMPLY] lonely [PERIOD]
ambitious [AND] uptight [IMPLY] frightened [PERIOD]
beautiful [IMPLY] strange [PERIOD]
broad-minded [AND] frightened [AND] agreeable [IMPLY] strange [PERIOD]
light [AND] distinct [IMPLY] agreeable [PERIOD]
beautiful [IMPLY] exuberant [PERIOD]
careless [AND] light [IMPLY] good [PERIOD]
adorable [AND] rational [IMPLY] ambitious [PERIOD]
strange [AND] quaint [IMPLY] loving [PERIOD]
strange [AND] good [AND] distinct [IMPLY] broad-minded [PERIOD]
careless [AND] adorable [IMPLY] beautiful [PERIOD]
agreeable [IMPLY] sensible [PERIOD]
sensible [AND] light [IMPLY] rational [PERIOD]
ambitious [AND] cute [AND] bright [IMPLY] sensible [PERIOD]
modern [IMPLY] wandering [PERIOD]
comfortable [IMPLY] talented [PERIOD]
ambitious [IMPLY] sleepy [PERIOD]
quaint [AND] lonely [AND] loving [IMPLY] ambitious [PERIOD]
agreeable [AND] comfortable [AND] frightened [IMPLY] uptight [PERIOD]
ambitious [IMPLY] frightened [PERIOD]
modern [IMPLY] quaint [PERIOD]
wrong [AND] cute [IMPLY] bright [PERIOD]
ambitious [IMPLY] careless [PERIOD]
beautiful [IMPLY] uptight [PERIOD]
sensible [AND] loving [AND] beautiful [IMPLY] adorable [PERIOD]
comfortable [IMPLY] frightened [PERIOD]
agreeable [AND] rational [AND] broad-minded [IMPLY] ambitious [PERIOD]
cooperative [IMPLY] frightened [PERIOD]
frightened [IMPLY] rational [PERIOD]
agreeable [IMPLY] careless [PERIOD]
loving [AND] comfortable [IMPLY] quaint [PERIOD]
comfortable [IMPLY] loving [PERIOD]
rational [AND] lonely [IMPLY] comfortable [PERIOD]
quaint [AND] frightened [IMPLY] comfortable [PERIOD]
talented [IMPLY] agreeable [PERIOD]
beautiful [IMPLY] cute [PERIOD]
wrong [AND] sensible [AND] cute [IMPLY] sleepy [PERIOD]
comfortable [AND] sleepy [IMPLY] quaint [PERIOD]
talented [IMPLY] broad-minded [PERIOD]
quaint [IMPLY] lonely [PERIOD]
sensible [AND] uptight [AND] cooperative [IMPLY] light [PERIOD]
frightened [AND] sleepy [IMPLY] agreeable [PERIOD]
strange [AND] careless [AND] good [IMPLY] wrong [PERIOD]
cooperative [AND] ambitious [AND] rational [IMPLY] frightened [PERIOD]
lonely [IMPLY] talented [PERIOD]
good [IMPLY] quaint [PERIOD]
distinct [AND] cooperative [AND] rational [IMPLY] ambitious [PERIOD]
talented [IMPLY] comfortable [PERIOD]
good [IMPLY] ambitious [PERIOD]
cooperative [AND] lonely [IMPLY] frightened [PERIOD]
frightened [AND] uptight [IMPLY] ambitious [PERIOD]
cute [AND] strange [IMPLY] distinct [PERIOD]
loving [IMPLY] sleepy [PERIOD]
wandering [AND] ambitious [AND] strange [IMPLY] lonely [PERIOD]
lonely [AND] broad-minded [AND] exuberant [IMPLY] rational [PERIOD]
comfortable [AND] exuberant [IMPLY] strange [PERIOD]
frightened [AND] wandering [AND] distinct [IMPLY] rational [PERIOD]
lonely [AND] modern [AND] frightened [IMPLY] bright [PERIOD]
distinct [AND] light [IMPLY] modern [PERIOD]
modern [AND] ambitious [AND] adorable [IMPLY] rational [PERIOD]
wrong [IMPLY] good [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   modern ⇒ wandering
",1,1
"Facts:  Alice is innocent [PERIOD]
Rules:
easy [AND] outstanding [AND] glamorous [IMPLY] frantic [PERIOD]
distinct [AND] weary [AND] good [IMPLY] straightforward [PERIOD]
innocent [AND] easy [IMPLY] ugliest [PERIOD]
courageous [IMPLY] homely [PERIOD]
intellectual [AND] ugliest [AND] cruel [IMPLY] stupid [PERIOD]
weary [IMPLY] frantic [PERIOD]
plain [AND] courageous [IMPLY] innocent [PERIOD]
helpless [IMPLY] frantic [PERIOD]
bad-tempered [AND] cruel [AND] ugliest [IMPLY] naughty [PERIOD]
courageous [IMPLY] innocent [PERIOD]
intellectual [AND] frantic [IMPLY] shiny [PERIOD]
weary [IMPLY] easy [PERIOD]
bad-tempered [AND] gifted [IMPLY] homely [PERIOD]
gifted [AND] shiny [IMPLY] cruel [PERIOD]
helpless [AND] homely [AND] easy [IMPLY] plain [PERIOD]
easy [AND] intellectual [AND] courageous [IMPLY] frail [PERIOD]
innocent [IMPLY] hilarious [PERIOD]
easy [IMPLY] smart [PERIOD]
distinct [AND] shiny [IMPLY] frantic [PERIOD]
gifted [IMPLY] frail [PERIOD]
glamorous [IMPLY] helpless [PERIOD]
weary [AND] straightforward [AND] cruel [IMPLY] frantic [PERIOD]
tender [AND] intellectual [AND] smart [IMPLY] stupid [PERIOD]
frantic [AND] intellectual [AND] cruel [IMPLY] ugliest [PERIOD]
tender [IMPLY] frantic [PERIOD]
intellectual [IMPLY] shiny [PERIOD]
hilarious [IMPLY] homely [PERIOD]
good [AND] smart [AND] weary [IMPLY] innocent [PERIOD]
shiny [AND] outstanding [IMPLY] weary [PERIOD]
innocent [AND] stupid [AND] gifted [IMPLY] plain [PERIOD]
outstanding [IMPLY] weary [PERIOD]
intellectual [IMPLY] frail [PERIOD]
glamorous [IMPLY] easy [PERIOD]
ugliest [IMPLY] helpless [PERIOD]
stupid [AND] smart [IMPLY] frantic [PERIOD]
stupid [AND] bad-tempered [IMPLY] weary [PERIOD]
good [AND] plain [AND] naughty [IMPLY] gifted [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “easy ∧ outstanding ∧ glamorous ⇒ frantic” because missing: easy, outstanding, glamorous.
   Cannot apply rule “weary ⇒ frantic” because missing: weary.
   Cannot apply rule “helpless ⇒ frantic” because missing: helpless.
   Cannot apply rule “distinct ∧ shiny ⇒ frantic” because missing: distinct, shiny.
   Cannot apply rule “weary ∧ straightforward ∧ cruel ⇒ frantic” because missing: weary, straightforward, cruel.
   Cannot apply rule “tender ⇒ frantic” because missing: tender.
   Cannot apply rule “stupid ∧ smart ⇒ frantic” because missing: stupid, smart.
",0,7
"Facts:  Alice is popular [PERIOD] Alice is helpless [PERIOD] Alice is anxious [PERIOD]
Rules:
courageous [AND] helpless [AND] precious [IMPLY] strange [PERIOD]
excited [AND] polite [AND] strange [IMPLY] muddy [PERIOD]
victorious [AND] helpless [IMPLY] messy [PERIOD]
zealous [AND] muddy [IMPLY] strange [PERIOD]
polite [IMPLY] anxious [PERIOD]
wrong [AND] polite [AND] glamorous [IMPLY] worried [PERIOD]
courageous [AND] precious [IMPLY] zealous [PERIOD]
zealous [AND] famous [IMPLY] precious [PERIOD]
strange [AND] shy [AND] victorious [IMPLY] wrong [PERIOD]
excited [AND] wrong [AND] ambitious [IMPLY] precious [PERIOD]
glamorous [AND] zealous [IMPLY] muddy [PERIOD]
courageous [AND] victorious [AND] worried [IMPLY] shy [PERIOD]
straightforward [IMPLY] excited [PERIOD]
polite [AND] popular [IMPLY] spotless [PERIOD]
muddy [IMPLY] spotless [PERIOD]
shy [AND] strange [AND] excited [IMPLY] worried [PERIOD]
glamorous [IMPLY] courageous [PERIOD]
shy [AND] polite [AND] worried [IMPLY] spotless [PERIOD]
polite [IMPLY] spotless [PERIOD]
helpless [AND] shy [IMPLY] zealous [PERIOD]
ambitious [AND] helpless [AND] courageous [IMPLY] famous [PERIOD]
serious [AND] ambitious [AND] strange [IMPLY] anxious [PERIOD]
muddy [AND] ambitious [IMPLY] popular [PERIOD]
famous [AND] wrong [IMPLY] victorious [PERIOD]
spotless [AND] shy [AND] anxious [IMPLY] helpless [PERIOD]
straightforward [AND] famous [IMPLY] helpless [PERIOD]
ambitious [IMPLY] spotless [PERIOD]
wrong [IMPLY] anxious [PERIOD]
muddy [IMPLY] serious [PERIOD]
shy [IMPLY] polite [PERIOD]
excited [IMPLY] serious [PERIOD]
polite [AND] ambitious [AND] excited [IMPLY] messy [PERIOD]
shy [IMPLY] helpless [PERIOD]
serious [AND] glamorous [IMPLY] spotless [PERIOD]
polite [AND] glamorous [AND] worried [IMPLY] courageous [PERIOD]
zealous [AND] anxious [IMPLY] shy [PERIOD]
ambitious [IMPLY] excited [PERIOD]
glamorous [AND] worried [IMPLY] excited [PERIOD]
ambitious [IMPLY] strange [PERIOD]
ambitious [AND] helpless [AND] muddy [IMPLY] precious [PERIOD]
victorious [AND] polite [AND] helpless [IMPLY] anxious [PERIOD]
popular [IMPLY] zealous [PERIOD]
shy [AND] glamorous [AND] zealous [IMPLY] strange [PERIOD]
excited [AND] serious [AND] famous [IMPLY] precious [PERIOD]
polite [AND] muddy [AND] famous [IMPLY] worried [PERIOD]
helpless [IMPLY] ambitious [PERIOD]
popular [AND] worried [IMPLY] strange [PERIOD]
precious [AND] muddy [IMPLY] messy [PERIOD]
worried [AND] spotless [IMPLY] anxious [PERIOD]
shy [AND] strange [IMPLY] worried [PERIOD]
serious [IMPLY] messy [PERIOD]
precious [IMPLY] muddy [PERIOD]
muddy [IMPLY] victorious [PERIOD]
worried [IMPLY] famous [PERIOD]
muddy [IMPLY] famous [PERIOD]
Query: Alice is messy [PERIOD]","Proof chain:
   popular ⇒ zealous
   zealous ∧ anxious ⇒ shy
   shy ⇒ polite
   helpless ⇒ ambitious
   helpless ⇒ ambitious
   ambitious ⇒ excited
   polite ∧ ambitious ∧ excited ⇒ messy
",1,7
"Facts:  Alice is popular [PERIOD]
Rules:
precious [AND] elated [AND] sensible [IMPLY] popular [PERIOD]
precious [AND] foolish [IMPLY] sensible [PERIOD]
elated [AND] shy [IMPLY] mean [PERIOD]
precious [AND] weary [AND] mean [IMPLY] sensible [PERIOD]
elated [IMPLY] mean [PERIOD]
foolish [AND] shy [IMPLY] elated [PERIOD]
sensible [AND] mean [AND] weary [IMPLY] elated [PERIOD]
weary [IMPLY] foolish [PERIOD]
mean [AND] elated [AND] popular [IMPLY] precious [PERIOD]
shy [IMPLY] sensible [PERIOD]
elated [AND] mean [IMPLY] foolish [PERIOD]
mean [AND] foolish [IMPLY] weary [PERIOD]
precious [IMPLY] shy [PERIOD]
weary [AND] elated [AND] popular [IMPLY] sensible [PERIOD]
shy [IMPLY] elated [PERIOD]
foolish [AND] weary [IMPLY] mean [PERIOD]
popular [AND] elated [AND] precious [IMPLY] mean [PERIOD]
precious [IMPLY] mean [PERIOD]
sensible [AND] popular [AND] foolish [IMPLY] weary [PERIOD]
popular [AND] sensible [AND] precious [IMPLY] foolish [PERIOD]
weary [IMPLY] shy [PERIOD]
mean [AND] popular [IMPLY] weary [PERIOD]
foolish [AND] precious [AND] shy [IMPLY] sensible [PERIOD]
mean [IMPLY] weary [PERIOD]
mean [AND] popular [IMPLY] shy [PERIOD]
sensible [IMPLY] precious [PERIOD]
popular [AND] sensible [AND] mean [IMPLY] elated [PERIOD]
weary [AND] foolish [AND] shy [IMPLY] popular [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   Cannot apply rule “elated ∧ shy ⇒ mean” because missing: elated, shy.
   Cannot apply rule “elated ⇒ mean” because missing: elated.
   Cannot apply rule “foolish ∧ weary ⇒ mean” because missing: foolish, weary.
   Cannot apply rule “popular ∧ elated ∧ precious ⇒ mean” because missing: elated, precious.
   Cannot apply rule “precious ⇒ mean” because missing: precious.
",0,5
"Facts: 
Rules:
joyous [AND] dishonest [AND] outstanding [IMPLY] ambitious [PERIOD]
lucky [AND] messy [AND] pleasant [IMPLY] wide-eyed [PERIOD]
hypocritical [IMPLY] supportive [PERIOD]
pleasant [AND] outstanding [AND] different [IMPLY] outrageous [PERIOD]
impartial [AND] outrageous [AND] messy [IMPLY] foolish [PERIOD]
foolish [IMPLY] dishonest [PERIOD]
mean [IMPLY] friendly [PERIOD]
cooperative [IMPLY] foolish [PERIOD]
loving [AND] clumsy [IMPLY] friendly [PERIOD]
loving [AND] wrong [AND] pleasant [IMPLY] silly [PERIOD]
lucky [AND] ambitious [AND] messy [IMPLY] foolish [PERIOD]
difficult [AND] cooperative [AND] fearless [IMPLY] gorgeous [PERIOD]
pleasant [AND] friendly [AND] hypocritical [IMPLY] foolish [PERIOD]
foolish [AND] difficult [AND] outrageous [IMPLY] different [PERIOD]
naughty [AND] friendly [AND] silly [IMPLY] ambitious [PERIOD]
pleasant [AND] broad-minded [AND] fearless [IMPLY] different [PERIOD]
shy [IMPLY] ambitious [PERIOD]
charming [AND] messy [AND] cooperative [IMPLY] clumsy [PERIOD]
cooperative [AND] foolish [AND] weary [IMPLY] different [PERIOD]
broad-minded [AND] dishonest [IMPLY] supportive [PERIOD]
helpful [AND] ambitious [AND] charming [IMPLY] naughty [PERIOD]
lucky [AND] outrageous [IMPLY] naughty [PERIOD]
weary [IMPLY] outstanding [PERIOD]
outrageous [IMPLY] naughty [PERIOD]
outstanding [AND] cooperative [AND] silly [IMPLY] pleasant [PERIOD]
outstanding [AND] naughty [IMPLY] different [PERIOD]
broad-minded [AND] ambitious [IMPLY] joyous [PERIOD]
joyous [AND] clumsy [AND] outrageous [IMPLY] difficult [PERIOD]
foolish [AND] supportive [IMPLY] wide-eyed [PERIOD]
lucky [AND] outstanding [AND] different [IMPLY] clumsy [PERIOD]
naughty [AND] ambitious [AND] messy [IMPLY] supportive [PERIOD]
naughty [AND] cooperative [AND] mean [IMPLY] pleasant [PERIOD]
silly [AND] pleasant [IMPLY] different [PERIOD]
outstanding [AND] broad-minded [AND] supportive [IMPLY] shy [PERIOD]
weary [AND] outrageous [AND] cooperative [IMPLY] impartial [PERIOD]
dishonest [AND] loving [IMPLY] gorgeous [PERIOD]
naughty [AND] mean [AND] hypocritical [IMPLY] outstanding [PERIOD]
ambitious [AND] foolish [AND] outrageous [IMPLY] impartial [PERIOD]
gorgeous [AND] silly [AND] outrageous [IMPLY] outstanding [PERIOD]
silly [AND] messy [AND] naughty [IMPLY] weary [PERIOD]
gorgeous [AND] messy [IMPLY] wrong [PERIOD]
joyous [IMPLY] weary [PERIOD]
cooperative [AND] lucky [AND] impartial [IMPLY] different [PERIOD]
hypocritical [AND] outstanding [AND] impartial [IMPLY] ambitious [PERIOD]
outrageous [AND] impartial [AND] helpful [IMPLY] silly [PERIOD]
foolish [IMPLY] different [PERIOD]
naughty [IMPLY] weary [PERIOD]
silly [IMPLY] wide-eyed [PERIOD]
helpful [AND] weary [AND] fearless [IMPLY] pleasant [PERIOD]
outrageous [AND] broad-minded [AND] foolish [IMPLY] joyous [PERIOD]
broad-minded [AND] gorgeous [AND] lucky [IMPLY] charming [PERIOD]
impartial [IMPLY] outrageous [PERIOD]
wrong [AND] mean [IMPLY] dishonest [PERIOD]
friendly [IMPLY] fearless [PERIOD]
difficult [IMPLY] helpful [PERIOD]
fearless [AND] supportive [AND] naughty [IMPLY] cooperative [PERIOD]
weary [AND] pleasant [AND] lucky [IMPLY] outstanding [PERIOD]
difficult [IMPLY] outstanding [PERIOD]
different [IMPLY] clumsy [PERIOD]
wrong [AND] shy [AND] loving [IMPLY] naughty [PERIOD]
wide-eyed [AND] loving [IMPLY] pleasant [PERIOD]
shy [IMPLY] broad-minded [PERIOD]
weary [IMPLY] wide-eyed [PERIOD]
joyous [IMPLY] naughty [PERIOD]
friendly [IMPLY] difficult [PERIOD]
broad-minded [AND] messy [AND] hypocritical [IMPLY] gorgeous [PERIOD]
friendly [AND] ambitious [AND] silly [IMPLY] gorgeous [PERIOD]
joyous [AND] naughty [IMPLY] foolish [PERIOD]
different [AND] charming [IMPLY] difficult [PERIOD]
weary [IMPLY] naughty [PERIOD]
messy [AND] ambitious [IMPLY] clumsy [PERIOD]
different [AND] loving [AND] difficult [IMPLY] joyous [PERIOD]
mean [AND] cooperative [AND] messy [IMPLY] joyous [PERIOD]
broad-minded [AND] dishonest [AND] mean [IMPLY] charming [PERIOD]
friendly [AND] ambitious [AND] loving [IMPLY] weary [PERIOD]
outrageous [AND] lucky [AND] outstanding [IMPLY] silly [PERIOD]
wrong [IMPLY] gorgeous [PERIOD]
broad-minded [AND] ambitious [AND] fearless [IMPLY] cooperative [PERIOD]
outrageous [AND] lucky [AND] charming [IMPLY] helpful [PERIOD]
weary [AND] silly [IMPLY] helpful [PERIOD]
outstanding [IMPLY] lucky [PERIOD]
dishonest [AND] broad-minded [IMPLY] shy [PERIOD]
different [AND] pleasant [AND] foolish [IMPLY] silly [PERIOD]
outrageous [IMPLY] silly [PERIOD]
shy [AND] gorgeous [AND] hypocritical [IMPLY] weary [PERIOD]
helpful [AND] joyous [AND] outstanding [IMPLY] charming [PERIOD]
wrong [AND] ambitious [IMPLY] outstanding [PERIOD]
charming [AND] outstanding [AND] dishonest [IMPLY] outrageous [PERIOD]
friendly [IMPLY] hypocritical [PERIOD]
friendly [AND] cooperative [IMPLY] fearless [PERIOD]
loving [AND] supportive [AND] charming [IMPLY] different [PERIOD]
mean [AND] fearless [AND] lucky [IMPLY] dishonest [PERIOD]
clumsy [IMPLY] silly [PERIOD]
lucky [IMPLY] helpful [PERIOD]
broad-minded [IMPLY] pleasant [PERIOD]
messy [AND] mean [AND] cooperative [IMPLY] gorgeous [PERIOD]
messy [IMPLY] outstanding [PERIOD]
outrageous [AND] supportive [AND] friendly [IMPLY] ambitious [PERIOD]
weary [AND] dishonest [IMPLY] foolish [PERIOD]
silly [IMPLY] loving [PERIOD]
gorgeous [AND] helpful [AND] pleasant [IMPLY] cooperative [PERIOD]
mean [IMPLY] clumsy [PERIOD]
impartial [AND] helpful [IMPLY] outstanding [PERIOD]
mean [AND] gorgeous [IMPLY] silly [PERIOD]
cooperative [IMPLY] pleasant [PERIOD]
naughty [AND] charming [IMPLY] outstanding [PERIOD]
ambitious [AND] naughty [IMPLY] helpful [PERIOD]
joyous [AND] messy [AND] friendly [IMPLY] fearless [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   Cannot apply rule “difficult ∧ cooperative ∧ fearless ⇒ gorgeous” because missing: difficult, cooperative, fearless.
   Cannot apply rule “dishonest ∧ loving ⇒ gorgeous” because missing: dishonest, loving.
   Cannot apply rule “broad-minded ∧ messy ∧ hypocritical ⇒ gorgeous” because missing: broad-minded, messy, hypocritical.
   Cannot apply rule “friendly ∧ ambitious ∧ silly ⇒ gorgeous” because missing: friendly, ambitious, silly.
   Cannot apply rule “wrong ⇒ gorgeous” because missing: wrong.
   Cannot apply rule “messy ∧ mean ∧ cooperative ⇒ gorgeous” because missing: messy, mean, cooperative.
",0,6
"Facts:  Alice is elated [PERIOD] Alice is calm [PERIOD] Alice is distinct [PERIOD] Alice is good [PERIOD] Alice is modern [PERIOD] Alice is worried [PERIOD] Alice is homely [PERIOD] Alice is horrible [PERIOD] Alice is blushing [PERIOD] Alice is shy [PERIOD] Alice is cruel [PERIOD] Alice is rude [PERIOD] Alice is fine [PERIOD] Alice is shiny [PERIOD] Alice is alert [PERIOD] Alice is tender [PERIOD] Alice is reserved [PERIOD] Alice is average [PERIOD] Alice is hypocritical [PERIOD] Alice is intellectual [PERIOD] Alice is vivacious [PERIOD] Alice is pessimistic [PERIOD] Alice is polite [PERIOD]
Rules:
cruel [IMPLY] calm [PERIOD]
intellectual [AND] alert [AND] calm [IMPLY] polite [PERIOD]
cruel [IMPLY] worried [PERIOD]
homely [AND] polite [IMPLY] average [PERIOD]
good [AND] tender [AND] rude [IMPLY] reserved [PERIOD]
distinct [AND] shiny [IMPLY] elated [PERIOD]
reserved [AND] intellectual [AND] frantic [IMPLY] modern [PERIOD]
worried [AND] vivacious [AND] rude [IMPLY] horrible [PERIOD]
average [AND] blushing [IMPLY] homely [PERIOD]
blushing [AND] pessimistic [IMPLY] rude [PERIOD]
pessimistic [AND] fine [AND] homely [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] average [PERIOD]
worried [AND] average [AND] vivacious [IMPLY] horrible [PERIOD]
good [AND] vivacious [IMPLY] distinct [PERIOD]
calm [AND] rude [IMPLY] good [PERIOD]
hypocritical [IMPLY] frantic [PERIOD]
shy [AND] frantic [AND] pessimistic [IMPLY] elated [PERIOD]
elated [IMPLY] worried [PERIOD]
modern [AND] frantic [IMPLY] vivacious [PERIOD]
frantic [IMPLY] shy [PERIOD]
average [AND] modern [AND] homely [IMPLY] tender [PERIOD]
fine [AND] average [IMPLY] horrible [PERIOD]
homely [AND] vivacious [AND] elated [IMPLY] intellectual [PERIOD]
modern [AND] blushing [AND] distinct [IMPLY] homely [PERIOD]
alert [IMPLY] good [PERIOD]
polite [IMPLY] fine [PERIOD]
frantic [AND] average [IMPLY] shiny [PERIOD]
good [IMPLY] blushing [PERIOD]
horrible [IMPLY] fine [PERIOD]
homely [AND] alert [AND] hypocritical [IMPLY] frantic [PERIOD]
modern [IMPLY] shiny [PERIOD]
hypocritical [AND] elated [AND] worried [IMPLY] modern [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
loving [IMPLY] bossy [PERIOD]
mysterious [IMPLY] charming [PERIOD]
straightforward [AND] mysterious [AND] charming [IMPLY] loving [PERIOD]
charming [AND] straightforward [AND] different [IMPLY] attentive [PERIOD]
straightforward [AND] different [IMPLY] mysterious [PERIOD]
mysterious [AND] powerful [AND] different [IMPLY] loving [PERIOD]
different [AND] loving [AND] powerful [IMPLY] bossy [PERIOD]
straightforward [AND] different [AND] mysterious [IMPLY] loving [PERIOD]
straightforward [AND] powerful [IMPLY] charming [PERIOD]
mysterious [AND] loving [AND] powerful [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] bossy [PERIOD]
straightforward [AND] powerful [IMPLY] loving [PERIOD]
attentive [AND] powerful [IMPLY] straightforward [PERIOD]
loving [IMPLY] mysterious [PERIOD]
bossy [AND] charming [AND] powerful [IMPLY] mysterious [PERIOD]
different [AND] straightforward [AND] loving [IMPLY] attentive [PERIOD]
powerful [AND] charming [IMPLY] mysterious [PERIOD]
attentive [IMPLY] loving [PERIOD]
mysterious [AND] loving [IMPLY] powerful [PERIOD]
straightforward [AND] attentive [IMPLY] loving [PERIOD]
different [IMPLY] loving [PERIOD]
straightforward [IMPLY] attentive [PERIOD]
charming [IMPLY] loving [PERIOD]
powerful [IMPLY] straightforward [PERIOD]
loving [AND] attentive [AND] mysterious [IMPLY] charming [PERIOD]
powerful [IMPLY] bossy [PERIOD]
attentive [AND] different [AND] straightforward [IMPLY] bossy [PERIOD]
straightforward [AND] attentive [IMPLY] charming [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   Cannot apply rule “loving ⇒ bossy” because missing: loving.
   Cannot apply rule “different ∧ loving ∧ powerful ⇒ bossy” because missing: different, loving, powerful.
   Cannot apply rule “straightforward ⇒ bossy” because missing: straightforward.
   Cannot apply rule “powerful ⇒ bossy” because missing: powerful.
   Cannot apply rule “attentive ∧ different ∧ straightforward ⇒ bossy” because missing: attentive, different, straightforward.
",0,5
"Facts:  Alice is confident [PERIOD] Alice is outstanding [PERIOD] Alice is silly [PERIOD] Alice is rude [PERIOD]
Rules:
rude [IMPLY] outstanding [PERIOD]
fragile [IMPLY] silly [PERIOD]
rude [AND] unpleasant [AND] excited [IMPLY] silly [PERIOD]
fragile [AND] combative [IMPLY] unpleasant [PERIOD]
homely [AND] amused [AND] elegant [IMPLY] light [PERIOD]
homely [IMPLY] adorable [PERIOD]
tender [AND] careless [AND] homely [IMPLY] jittery [PERIOD]
outstanding [IMPLY] tender [PERIOD]
careless [AND] loving [IMPLY] witty [PERIOD]
wide-eyed [AND] unpleasant [IMPLY] amused [PERIOD]
silly [AND] excited [IMPLY] adorable [PERIOD]
elegant [AND] careless [IMPLY] unpleasant [PERIOD]
lucky [IMPLY] amused [PERIOD]
unpleasant [IMPLY] combative [PERIOD]
outstanding [IMPLY] wide-eyed [PERIOD]
amused [AND] excited [AND] witty [IMPLY] joyous [PERIOD]
homely [AND] combative [AND] outstanding [IMPLY] jittery [PERIOD]
tender [AND] unpleasant [IMPLY] crowded [PERIOD]
loving [AND] jittery [IMPLY] excited [PERIOD]
witty [AND] tender [AND] jittery [IMPLY] joyous [PERIOD]
homely [AND] loving [IMPLY] confident [PERIOD]
outstanding [IMPLY] homely [PERIOD]
crowded [IMPLY] sleepy [PERIOD]
careless [IMPLY] wide-eyed [PERIOD]
silly [AND] unpleasant [IMPLY] outstanding [PERIOD]
jittery [AND] loving [AND] confident [IMPLY] unpleasant [PERIOD]
tender [AND] witty [IMPLY] combative [PERIOD]
amused [AND] tender [IMPLY] homely [PERIOD]
friendly [IMPLY] light [PERIOD]
witty [AND] adorable [AND] loving [IMPLY] joyous [PERIOD]
confident [IMPLY] friendly [PERIOD]
jittery [AND] sleepy [IMPLY] elegant [PERIOD]
witty [AND] homely [AND] wrong [IMPLY] combative [PERIOD]
careless [IMPLY] witty [PERIOD]
outstanding [AND] lucky [IMPLY] wide-eyed [PERIOD]
loving [AND] careless [IMPLY] combative [PERIOD]
jittery [AND] joyous [IMPLY] light [PERIOD]
rude [AND] joyous [AND] crowded [IMPLY] silly [PERIOD]
wide-eyed [AND] joyous [IMPLY] rude [PERIOD]
lucky [IMPLY] careless [PERIOD]
jittery [IMPLY] friendly [PERIOD]
wide-eyed [IMPLY] joyous [PERIOD]
rude [IMPLY] confident [PERIOD]
outstanding [AND] witty [IMPLY] homely [PERIOD]
excited [IMPLY] crowded [PERIOD]
tender [IMPLY] confident [PERIOD]
light [AND] crowded [AND] loving [IMPLY] lucky [PERIOD]
homely [IMPLY] wide-eyed [PERIOD]
fragile [AND] light [IMPLY] homely [PERIOD]
friendly [AND] homely [AND] sleepy [IMPLY] confident [PERIOD]
unpleasant [AND] combative [IMPLY] lucky [PERIOD]
silly [IMPLY] fragile [PERIOD]
wrong [AND] adorable [IMPLY] jittery [PERIOD]
lucky [AND] witty [AND] outstanding [IMPLY] rude [PERIOD]
silly [AND] homely [IMPLY] friendly [PERIOD]
tender [AND] witty [IMPLY] adorable [PERIOD]
wrong [IMPLY] sleepy [PERIOD]
outstanding [AND] jittery [IMPLY] witty [PERIOD]
amused [AND] witty [AND] silly [IMPLY] tender [PERIOD]
tender [IMPLY] lucky [PERIOD]
wrong [IMPLY] elegant [PERIOD]
combative [AND] excited [AND] wrong [IMPLY] fragile [PERIOD]
rude [AND] witty [AND] unpleasant [IMPLY] joyous [PERIOD]
confident [AND] amused [IMPLY] homely [PERIOD]
combative [IMPLY] lucky [PERIOD]
confident [IMPLY] lucky [PERIOD]
combative [IMPLY] silly [PERIOD]
silly [IMPLY] rude [PERIOD]
witty [AND] confident [IMPLY] friendly [PERIOD]
excited [IMPLY] joyous [PERIOD]
wrong [AND] rude [AND] careless [IMPLY] light [PERIOD]
rude [IMPLY] crowded [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   silly ⇒ fragile
   outstanding ⇒ tender
   confident ⇒ lucky
   lucky ⇒ careless
   careless ⇒ witty
   tender ∧ witty ⇒ combative
   fragile ∧ combative ⇒ unpleasant
",1,7
"Facts:  Alice is curious [PERIOD]
Rules:
perfect [AND] spotless [IMPLY] frightened [PERIOD]
perfect [IMPLY] gorgeous [PERIOD]
perfect [IMPLY] spotless [PERIOD]
perfect [AND] gorgeous [IMPLY] curious [PERIOD]
curious [AND] perfect [IMPLY] spotless [PERIOD]
curious [AND] perfect [IMPLY] gorgeous [PERIOD]
gorgeous [IMPLY] perfect [PERIOD]
gorgeous [AND] perfect [IMPLY] frightened [PERIOD]
frightened [IMPLY] spotless [PERIOD]
spotless [IMPLY] perfect [PERIOD]
gorgeous [IMPLY] frightened [PERIOD]
gorgeous [AND] curious [IMPLY] spotless [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “gorgeous ⇒ perfect” because missing: gorgeous.
   Cannot apply rule “spotless ⇒ perfect” because missing: spotless.
",0,2
"Facts:  Alice is sleepy [PERIOD] Alice is attentive [PERIOD] Alice is shiny [PERIOD] Alice is modern [PERIOD] Alice is different [PERIOD] Alice is frightened [PERIOD] Alice is amused [PERIOD] Alice is muddy [PERIOD] Alice is fragile [PERIOD] Alice is stupid [PERIOD] Alice is grumpy [PERIOD] Alice is powerful [PERIOD] Alice is impartial [PERIOD]
Rules:
gleaming [IMPLY] foolish [PERIOD]
powerful [IMPLY] troubled [PERIOD]
powerful [IMPLY] frantic [PERIOD]
distinct [IMPLY] nervous [PERIOD]
muddy [AND] different [AND] sleepy [IMPLY] modern [PERIOD]
powerful [AND] tense [AND] stupid [IMPLY] frightened [PERIOD]
victorious [IMPLY] enchanting [PERIOD]
plain [AND] impartial [AND] grumpy [IMPLY] amused [PERIOD]
amused [AND] uptight [AND] frantic [IMPLY] distinct [PERIOD]
sleepy [AND] fragile [AND] troubled [IMPLY] homely [PERIOD]
different [IMPLY] sleepy [PERIOD]
old-fashioned [IMPLY] foolish [PERIOD]
nervous [AND] fragile [AND] worrisome [IMPLY] old-fashioned [PERIOD]
frantic [AND] different [AND] perfect [IMPLY] stupid [PERIOD]
old-fashioned [IMPLY] modern [PERIOD]
stupid [AND] old-fashioned [AND] shiny [IMPLY] frightened [PERIOD]
grumpy [IMPLY] enchanting [PERIOD]
plain [IMPLY] nervous [PERIOD]
gleaming [AND] homely [IMPLY] troubled [PERIOD]
difficult [AND] troubled [IMPLY] enchanting [PERIOD]
tense [IMPLY] shiny [PERIOD]
distinct [AND] shiny [AND] fragile [IMPLY] impartial [PERIOD]
attentive [AND] perfect [IMPLY] amused [PERIOD]
fragile [AND] impartial [AND] homely [IMPLY] victorious [PERIOD]
powerful [AND] perfect [AND] nervous [IMPLY] different [PERIOD]
amused [IMPLY] homely [PERIOD]
homely [AND] uptight [AND] attentive [IMPLY] difficult [PERIOD]
old-fashioned [AND] muddy [AND] fragile [IMPLY] enchanting [PERIOD]
different [IMPLY] plain [PERIOD]
nervous [IMPLY] frantic [PERIOD]
plain [IMPLY] different [PERIOD]
shiny [IMPLY] powerful [PERIOD]
plain [IMPLY] troubled [PERIOD]
impartial [IMPLY] different [PERIOD]
old-fashioned [AND] foolish [IMPLY] powerful [PERIOD]
plain [AND] different [IMPLY] powerful [PERIOD]
impartial [AND] fragile [IMPLY] stupid [PERIOD]
troubled [IMPLY] old-fashioned [PERIOD]
enchanting [IMPLY] uptight [PERIOD]
gleaming [AND] foolish [IMPLY] frantic [PERIOD]
sleepy [AND] enchanting [AND] worrisome [IMPLY] nervous [PERIOD]
stupid [AND] victorious [AND] nervous [IMPLY] attentive [PERIOD]
fragile [IMPLY] distinct [PERIOD]
uptight [AND] stupid [IMPLY] enchanting [PERIOD]
frantic [AND] victorious [AND] powerful [IMPLY] fragile [PERIOD]
old-fashioned [IMPLY] enchanting [PERIOD]
different [AND] uptight [AND] troubled [IMPLY] frightened [PERIOD]
gleaming [IMPLY] distinct [PERIOD]
enchanting [AND] worrisome [IMPLY] frightened [PERIOD]
worrisome [AND] frightened [AND] foolish [IMPLY] sleepy [PERIOD]
sleepy [IMPLY] modern [PERIOD]
perfect [IMPLY] plain [PERIOD]
old-fashioned [IMPLY] grumpy [PERIOD]
distinct [AND] different [AND] grumpy [IMPLY] troubled [PERIOD]
tense [AND] fragile [AND] muddy [IMPLY] uptight [PERIOD]
difficult [AND] worrisome [IMPLY] old-fashioned [PERIOD]
perfect [IMPLY] attentive [PERIOD]
powerful [IMPLY] tense [PERIOD]
victorious [IMPLY] worrisome [PERIOD]
frightened [IMPLY] old-fashioned [PERIOD]
homely [AND] modern [IMPLY] worrisome [PERIOD]
distinct [IMPLY] attentive [PERIOD]
perfect [AND] distinct [AND] stupid [IMPLY] worrisome [PERIOD]
modern [IMPLY] distinct [PERIOD]
grumpy [AND] uptight [AND] shiny [IMPLY] stupid [PERIOD]
distinct [AND] troubled [IMPLY] nervous [PERIOD]
tense [AND] troubled [AND] difficult [IMPLY] attentive [PERIOD]
foolish [IMPLY] nervous [PERIOD]
gleaming [AND] old-fashioned [AND] plain [IMPLY] different [PERIOD]
troubled [AND] powerful [IMPLY] frantic [PERIOD]
uptight [IMPLY] amused [PERIOD]
frightened [IMPLY] enchanting [PERIOD]
powerful [AND] uptight [IMPLY] enchanting [PERIOD]
plain [AND] distinct [AND] victorious [IMPLY] enchanting [PERIOD]
gleaming [AND] muddy [IMPLY] frightened [PERIOD]
frantic [IMPLY] difficult [PERIOD]
troubled [IMPLY] nervous [PERIOD]
grumpy [IMPLY] difficult [PERIOD]
powerful [AND] plain [AND] tense [IMPLY] foolish [PERIOD]
shiny [AND] homely [AND] enchanting [IMPLY] troubled [PERIOD]
muddy [AND] powerful [IMPLY] stupid [PERIOD]
nervous [AND] powerful [AND] muddy [IMPLY] different [PERIOD]
worrisome [IMPLY] powerful [PERIOD]
attentive [AND] amused [IMPLY] plain [PERIOD]
troubled [IMPLY] powerful [PERIOD]
troubled [IMPLY] difficult [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   grumpy ⇒ difficult
",1,1
"Facts:  Alice is pessimistic [PERIOD] Alice is weary [PERIOD] Alice is distinct [PERIOD] Alice is confident [PERIOD] Alice is fine [PERIOD] Alice is easy [PERIOD] Alice is jittery [PERIOD] Alice is fragile [PERIOD] Alice is cute [PERIOD]
Rules:
pessimistic [AND] easy [AND] charming [IMPLY] hypocritical [PERIOD]
foolish [IMPLY] fragile [PERIOD]
average [AND] excited [AND] foolish [IMPLY] fragile [PERIOD]
distinct [AND] foolish [IMPLY] weary [PERIOD]
worrisome [AND] ugly [IMPLY] vivacious [PERIOD]
impatient [AND] mean [IMPLY] worrisome [PERIOD]
condemned [AND] weary [IMPLY] confident [PERIOD]
witty [IMPLY] hypocritical [PERIOD]
tender [AND] rational [AND] hypocritical [IMPLY] excited [PERIOD]
rude [AND] tender [IMPLY] fragile [PERIOD]
weary [AND] vivacious [AND] charming [IMPLY] cute [PERIOD]
rational [IMPLY] fragile [PERIOD]
excited [AND] witty [AND] vivacious [IMPLY] rational [PERIOD]
hypocritical [AND] average [AND] confident [IMPLY] distinct [PERIOD]
rude [IMPLY] fine [PERIOD]
distinct [AND] condemned [IMPLY] weary [PERIOD]
fragile [AND] weary [AND] excited [IMPLY] jittery [PERIOD]
rational [AND] charming [AND] average [IMPLY] distinct [PERIOD]
impatient [IMPLY] charming [PERIOD]
charming [AND] mean [IMPLY] jittery [PERIOD]
rude [AND] confident [AND] fine [IMPLY] beautiful [PERIOD]
excited [AND] weary [AND] distinct [IMPLY] beautiful [PERIOD]
confident [AND] tender [IMPLY] beautiful [PERIOD]
charming [AND] tender [AND] vivacious [IMPLY] rude [PERIOD]
pessimistic [AND] rude [AND] rational [IMPLY] hypocritical [PERIOD]
mean [AND] jittery [AND] easy [IMPLY] vivacious [PERIOD]
worrisome [AND] easy [AND] beautiful [IMPLY] rude [PERIOD]
distinct [AND] impatient [IMPLY] jittery [PERIOD]
worrisome [AND] ugly [IMPLY] condemned [PERIOD]
confident [IMPLY] vivacious [PERIOD]
ugly [AND] witty [AND] jittery [IMPLY] average [PERIOD]
witty [AND] distinct [IMPLY] fragile [PERIOD]
confident [AND] average [AND] impatient [IMPLY] distinct [PERIOD]
ugly [IMPLY] rational [PERIOD]
beautiful [AND] weary [AND] long [IMPLY] foolish [PERIOD]
long [AND] vivacious [AND] distinct [IMPLY] confident [PERIOD]
rational [IMPLY] fine [PERIOD]
worrisome [IMPLY] fine [PERIOD]
tender [IMPLY] distinct [PERIOD]
mean [IMPLY] pessimistic [PERIOD]
long [AND] foolish [AND] hypocritical [IMPLY] rude [PERIOD]
weary [AND] long [IMPLY] charming [PERIOD]
confident [AND] excited [AND] pessimistic [IMPLY] beautiful [PERIOD]
rational [IMPLY] charming [PERIOD]
impatient [IMPLY] beautiful [PERIOD]
rude [AND] foolish [IMPLY] rational [PERIOD]
foolish [AND] tender [AND] cute [IMPLY] charming [PERIOD]
weary [AND] confident [IMPLY] fine [PERIOD]
long [IMPLY] hypocritical [PERIOD]
foolish [IMPLY] cute [PERIOD]
rational [IMPLY] cute [PERIOD]
weary [IMPLY] distinct [PERIOD]
rude [AND] rational [AND] impatient [IMPLY] hypocritical [PERIOD]
fragile [AND] cute [AND] impatient [IMPLY] rude [PERIOD]
mean [IMPLY] impatient [PERIOD]
tender [AND] easy [AND] confident [IMPLY] worrisome [PERIOD]
vivacious [AND] condemned [AND] long [IMPLY] fragile [PERIOD]
pessimistic [AND] cute [IMPLY] fragile [PERIOD]
long [AND] witty [AND] confident [IMPLY] rude [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is distinct [PERIOD] Alice is powerful [PERIOD]
Rules:
powerful [AND] broad-minded [AND] condemned [IMPLY] tense [PERIOD]
broad-minded [IMPLY] condemned [PERIOD]
condemned [AND] powerful [IMPLY] distinct [PERIOD]
tense [AND] broad-minded [AND] powerful [IMPLY] distinct [PERIOD]
distinct [AND] condemned [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] distinct [PERIOD]
broad-minded [AND] powerful [IMPLY] distinct [PERIOD]
tense [AND] broad-minded [AND] condemned [IMPLY] distinct [PERIOD]
condemned [AND] powerful [AND] distinct [IMPLY] broad-minded [PERIOD]
distinct [IMPLY] condemned [PERIOD]
condemned [IMPLY] distinct [PERIOD]
tense [AND] distinct [IMPLY] condemned [PERIOD]
tense [AND] powerful [AND] distinct [IMPLY] broad-minded [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   distinct ⇒ condemned
   distinct ∧ condemned ⇒ broad-minded
",1,2
"Facts:  Alice is stormy [PERIOD] Alice is glamorous [PERIOD]
Rules:
quaint [AND] stormy [AND] fragile [IMPLY] glamorous [PERIOD]
fragile [IMPLY] quaint [PERIOD]
fragile [IMPLY] glamorous [PERIOD]
stormy [IMPLY] quaint [PERIOD]
glamorous [AND] mean [AND] stormy [IMPLY] excited [PERIOD]
diplomatic [AND] mean [IMPLY] smart [PERIOD]
diplomatic [AND] quaint [IMPLY] glamorous [PERIOD]
excited [IMPLY] smart [PERIOD]
stormy [IMPLY] fragile [PERIOD]
glamorous [AND] quaint [IMPLY] mean [PERIOD]
smart [IMPLY] diplomatic [PERIOD]
glamorous [AND] excited [AND] smart [IMPLY] fragile [PERIOD]
fragile [IMPLY] diplomatic [PERIOD]
mean [AND] stormy [IMPLY] smart [PERIOD]
smart [AND] quaint [IMPLY] diplomatic [PERIOD]
smart [AND] mean [AND] excited [IMPLY] quaint [PERIOD]
glamorous [AND] fragile [IMPLY] quaint [PERIOD]
mean [IMPLY] diplomatic [PERIOD]
mean [IMPLY] excited [PERIOD]
quaint [IMPLY] diplomatic [PERIOD]
glamorous [AND] stormy [IMPLY] excited [PERIOD]
smart [AND] mean [AND] excited [IMPLY] fragile [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   stormy ⇒ fragile
",1,1
"Facts:  Alice is different [PERIOD] Alice is sleepy [PERIOD] Alice is hurt [PERIOD] Alice is frightened [PERIOD] Alice is uptight [PERIOD] Alice is pleasant [PERIOD] Alice is ugliest [PERIOD] Alice is light [PERIOD] Alice is blushing [PERIOD] Alice is zealous [PERIOD] Alice is elated [PERIOD]
Rules:
uptight [AND] sleepy [AND] frightened [IMPLY] troubled [PERIOD]
light [AND] blushing [AND] frightened [IMPLY] elated [PERIOD]
zealous [AND] uptight [AND] troubled [IMPLY] ugliest [PERIOD]
sleepy [AND] elated [IMPLY] hurt [PERIOD]
sleepy [AND] different [AND] pleasant [IMPLY] frightened [PERIOD]
frightened [AND] light [IMPLY] blushing [PERIOD]
sleepy [IMPLY] ugliest [PERIOD]
troubled [AND] frightened [IMPLY] different [PERIOD]
troubled [AND] sleepy [AND] different [IMPLY] uptight [PERIOD]
light [IMPLY] elated [PERIOD]
sleepy [AND] troubled [IMPLY] blushing [PERIOD]
blushing [AND] uptight [IMPLY] hurt [PERIOD]
light [AND] pleasant [AND] frightened [IMPLY] zealous [PERIOD]
different [AND] light [AND] elated [IMPLY] ugliest [PERIOD]
different [IMPLY] blushing [PERIOD]
uptight [AND] troubled [AND] hurt [IMPLY] zealous [PERIOD]
troubled [AND] elated [IMPLY] hurt [PERIOD]
elated [AND] different [IMPLY] blushing [PERIOD]
ugliest [AND] sleepy [AND] blushing [IMPLY] light [PERIOD]
different [IMPLY] sleepy [PERIOD]
elated [AND] uptight [IMPLY] ugliest [PERIOD]
hurt [IMPLY] zealous [PERIOD]
different [AND] elated [AND] ugliest [IMPLY] pleasant [PERIOD]
zealous [AND] troubled [AND] light [IMPLY] ugliest [PERIOD]
sleepy [IMPLY] hurt [PERIOD]
ugliest [IMPLY] frightened [PERIOD]
elated [IMPLY] pleasant [PERIOD]
troubled [AND] light [IMPLY] zealous [PERIOD]
pleasant [IMPLY] uptight [PERIOD]
zealous [AND] elated [AND] hurt [IMPLY] pleasant [PERIOD]
light [AND] frightened [IMPLY] troubled [PERIOD]
zealous [AND] pleasant [IMPLY] hurt [PERIOD]
zealous [AND] blushing [AND] hurt [IMPLY] light [PERIOD]
different [AND] zealous [IMPLY] sleepy [PERIOD]
pleasant [AND] uptight [AND] ugliest [IMPLY] light [PERIOD]
frightened [AND] hurt [AND] blushing [IMPLY] troubled [PERIOD]
troubled [AND] ugliest [IMPLY] hurt [PERIOD]
different [AND] pleasant [AND] ugliest [IMPLY] elated [PERIOD]
zealous [AND] troubled [AND] hurt [IMPLY] different [PERIOD]
blushing [AND] zealous [AND] elated [IMPLY] uptight [PERIOD]
hurt [IMPLY] troubled [PERIOD]
troubled [AND] frightened [IMPLY] pleasant [PERIOD]
uptight [AND] hurt [AND] sleepy [IMPLY] different [PERIOD]
blushing [IMPLY] uptight [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is serious [PERIOD] Alice is naughty [PERIOD] Alice is disobedient [PERIOD]
Rules:
weary [AND] average [IMPLY] talkative [PERIOD]
disobedient [IMPLY] talkative [PERIOD]
clean [IMPLY] disobedient [PERIOD]
enchanting [AND] disobedient [AND] dull [IMPLY] condemned [PERIOD]
weary [AND] average [AND] disobedient [IMPLY] enchanting [PERIOD]
talkative [AND] fearless [AND] condemned [IMPLY] dull [PERIOD]
naughty [AND] fearless [AND] enchanting [IMPLY] dull [PERIOD]
serious [IMPLY] naughty [PERIOD]
talkative [AND] fragile [AND] dull [IMPLY] condemned [PERIOD]
dull [AND] clean [IMPLY] fragile [PERIOD]
fearless [IMPLY] naughty [PERIOD]
fearless [IMPLY] average [PERIOD]
clean [AND] fragile [AND] fearless [IMPLY] serious [PERIOD]
condemned [AND] fragile [AND] weary [IMPLY] dull [PERIOD]
talkative [IMPLY] dull [PERIOD]
disobedient [AND] weary [IMPLY] condemned [PERIOD]
serious [AND] clean [AND] cute [IMPLY] fragile [PERIOD]
condemned [AND] disobedient [AND] clean [IMPLY] cute [PERIOD]
clean [AND] average [IMPLY] enchanting [PERIOD]
dull [AND] average [IMPLY] cute [PERIOD]
serious [AND] fearless [AND] naughty [IMPLY] clean [PERIOD]
fragile [IMPLY] talkative [PERIOD]
cute [AND] disobedient [IMPLY] talkative [PERIOD]
clean [AND] talkative [IMPLY] average [PERIOD]
dull [AND] fragile [IMPLY] average [PERIOD]
serious [AND] condemned [AND] fearless [IMPLY] talkative [PERIOD]
dull [AND] enchanting [IMPLY] cute [PERIOD]
average [AND] enchanting [AND] talkative [IMPLY] dull [PERIOD]
dull [AND] talkative [AND] fearless [IMPLY] condemned [PERIOD]
disobedient [AND] cute [IMPLY] clean [PERIOD]
talkative [AND] condemned [IMPLY] weary [PERIOD]
talkative [AND] fearless [AND] weary [IMPLY] enchanting [PERIOD]
disobedient [IMPLY] condemned [PERIOD]
fearless [AND] talkative [IMPLY] average [PERIOD]
dull [AND] cute [IMPLY] weary [PERIOD]
disobedient [AND] talkative [IMPLY] average [PERIOD]
talkative [AND] average [IMPLY] dull [PERIOD]
cute [IMPLY] disobedient [PERIOD]
serious [AND] clean [AND] average [IMPLY] talkative [PERIOD]
weary [AND] naughty [IMPLY] average [PERIOD]
fearless [AND] condemned [AND] weary [IMPLY] fragile [PERIOD]
dull [AND] average [AND] fragile [IMPLY] disobedient [PERIOD]
cute [IMPLY] average [PERIOD]
clean [IMPLY] average [PERIOD]
average [AND] disobedient [AND] condemned [IMPLY] clean [PERIOD]
dull [AND] serious [IMPLY] fearless [PERIOD]
fearless [AND] average [AND] cute [IMPLY] serious [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   disobedient ⇒ talkative
   talkative ⇒ dull
   disobedient ⇒ talkative
   disobedient ∧ talkative ⇒ average
   disobedient ⇒ condemned
   average ∧ disobedient ∧ condemned ⇒ clean
   dull ∧ clean ⇒ fragile
",1,7
"Facts:  Alice is shiny [PERIOD]
Rules:
amused [IMPLY] innocent [PERIOD]
tender [IMPLY] amused [PERIOD]
amused [IMPLY] good [PERIOD]
shiny [AND] innocent [AND] tender [IMPLY] amused [PERIOD]
innocent [AND] shiny [IMPLY] tender [PERIOD]
shiny [AND] tender [IMPLY] good [PERIOD]
amused [AND] shiny [AND] good [IMPLY] tender [PERIOD]
amused [AND] good [IMPLY] tender [PERIOD]
tender [AND] amused [AND] good [IMPLY] innocent [PERIOD]
shiny [AND] innocent [AND] amused [IMPLY] tender [PERIOD]
innocent [AND] good [AND] amused [IMPLY] tender [PERIOD]
amused [IMPLY] tender [PERIOD]
good [AND] shiny [AND] tender [IMPLY] amused [PERIOD]
good [IMPLY] amused [PERIOD]
shiny [IMPLY] innocent [PERIOD]
shiny [IMPLY] amused [PERIOD]
innocent [AND] tender [AND] good [IMPLY] shiny [PERIOD]
good [IMPLY] innocent [PERIOD]
amused [AND] shiny [AND] tender [IMPLY] good [PERIOD]
good [IMPLY] tender [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   shiny ⇒ amused
   amused ⇒ tender
",1,2
"Facts:  Alice is confused [PERIOD]
Rules:
clean [AND] courageous [IMPLY] sensible [PERIOD]
fragile [AND] clean [IMPLY] careless [PERIOD]
fancy [AND] clean [AND] confused [IMPLY] ugly [PERIOD]
ugly [AND] courageous [IMPLY] clean [PERIOD]
plain [AND] confused [IMPLY] fragile [PERIOD]
inquisitive [AND] fragile [AND] bright [IMPLY] inexpensive [PERIOD]
clean [IMPLY] sensible [PERIOD]
courageous [IMPLY] confused [PERIOD]
calm [AND] fragile [IMPLY] bright [PERIOD]
plain [AND] confused [AND] calm [IMPLY] bright [PERIOD]
fancy [IMPLY] courageous [PERIOD]
careless [AND] clean [AND] confused [IMPLY] courageous [PERIOD]
bright [AND] sensible [IMPLY] calm [PERIOD]
calm [AND] ugly [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] plain [PERIOD]
ugly [IMPLY] plain [PERIOD]
confused [AND] careless [IMPLY] inexpensive [PERIOD]
bright [AND] careless [AND] inexpensive [IMPLY] clean [PERIOD]
careless [AND] inexpensive [IMPLY] sensible [PERIOD]
careless [IMPLY] confused [PERIOD]
fancy [IMPLY] confused [PERIOD]
confused [IMPLY] courageous [PERIOD]
fancy [AND] calm [IMPLY] inquisitive [PERIOD]
inquisitive [AND] bright [AND] fragile [IMPLY] ugly [PERIOD]
clean [AND] plain [AND] bright [IMPLY] courageous [PERIOD]
fancy [AND] careless [IMPLY] calm [PERIOD]
fancy [AND] inquisitive [AND] clean [IMPLY] plain [PERIOD]
ugly [AND] fragile [AND] inexpensive [IMPLY] careless [PERIOD]
calm [AND] fancy [IMPLY] fragile [PERIOD]
fancy [AND] careless [IMPLY] inquisitive [PERIOD]
fancy [AND] bright [IMPLY] ugly [PERIOD]
inexpensive [IMPLY] courageous [PERIOD]
clean [AND] inquisitive [IMPLY] bright [PERIOD]
fragile [AND] courageous [IMPLY] sensible [PERIOD]
plain [IMPLY] careless [PERIOD]
careless [AND] bright [IMPLY] confused [PERIOD]
clean [AND] confused [AND] sensible [IMPLY] calm [PERIOD]
confused [IMPLY] inquisitive [PERIOD]
calm [AND] fragile [AND] bright [IMPLY] clean [PERIOD]
bright [AND] plain [AND] careless [IMPLY] courageous [PERIOD]
calm [IMPLY] bright [PERIOD]
bright [AND] ugly [AND] inquisitive [IMPLY] sensible [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   Cannot apply rule “fancy ∧ clean ∧ confused ⇒ ugly” because missing: fancy, clean.
   confused ⇒ inquisitive
   confused ⇒ inquisitive
   inquisitive ⇒ plain
   plain ∧ confused ⇒ fragile
   Cannot apply rule “inquisitive ∧ bright ∧ fragile ⇒ ugly” because missing: bright.
   Cannot apply rule “fancy ∧ bright ⇒ ugly” because missing: fancy, bright.
",0,7
"Facts: 
Rules:
bossy [AND] thoughtless [AND] famous [IMPLY] crowded [PERIOD]
frail [AND] crowded [AND] talkative [IMPLY] attentive [PERIOD]
frail [AND] attentive [AND] bossy [IMPLY] thoughtless [PERIOD]
talkative [AND] thoughtless [AND] attentive [IMPLY] frail [PERIOD]
talkative [AND] thoughtless [IMPLY] attentive [PERIOD]
famous [AND] attentive [AND] frail [IMPLY] bossy [PERIOD]
crowded [AND] frail [AND] talkative [IMPLY] bossy [PERIOD]
crowded [AND] bossy [AND] attentive [IMPLY] famous [PERIOD]
thoughtless [AND] attentive [AND] frail [IMPLY] crowded [PERIOD]
attentive [AND] frail [AND] famous [IMPLY] talkative [PERIOD]
famous [IMPLY] frail [PERIOD]
talkative [AND] famous [AND] bossy [IMPLY] thoughtless [PERIOD]
famous [AND] crowded [IMPLY] talkative [PERIOD]
crowded [IMPLY] thoughtless [PERIOD]
thoughtless [AND] bossy [IMPLY] talkative [PERIOD]
crowded [IMPLY] frail [PERIOD]
famous [IMPLY] attentive [PERIOD]
crowded [IMPLY] bossy [PERIOD]
bossy [IMPLY] thoughtless [PERIOD]
famous [AND] frail [AND] thoughtless [IMPLY] talkative [PERIOD]
attentive [IMPLY] famous [PERIOD]
crowded [AND] frail [AND] attentive [IMPLY] bossy [PERIOD]
bossy [AND] famous [AND] attentive [IMPLY] frail [PERIOD]
frail [AND] crowded [AND] thoughtless [IMPLY] talkative [PERIOD]
attentive [IMPLY] frail [PERIOD]
talkative [AND] bossy [IMPLY] famous [PERIOD]
attentive [AND] crowded [AND] talkative [IMPLY] bossy [PERIOD]
frail [IMPLY] bossy [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “talkative ∧ thoughtless ∧ attentive ⇒ frail” because missing: talkative, thoughtless, attentive.
   Cannot apply rule “famous ⇒ frail” because missing: famous.
   Cannot apply rule “crowded ⇒ frail” because missing: crowded.
   Cannot apply rule “bossy ∧ famous ∧ attentive ⇒ frail” because missing: bossy, famous, attentive.
   Cannot apply rule “attentive ⇒ frail” because missing: attentive.
",0,5
"Facts:  Alice is messy [PERIOD] Alice is condemned [PERIOD] Alice is frightened [PERIOD] Alice is attentive [PERIOD] Alice is ugliest [PERIOD] Alice is foolish [PERIOD] Alice is dull [PERIOD] Alice is sincere [PERIOD] Alice is homely [PERIOD] Alice is stupid [PERIOD] Alice is sensible [PERIOD]
Rules:
messy [AND] dull [IMPLY] stupid [PERIOD]
dull [AND] attentive [AND] alert [IMPLY] condemned [PERIOD]
condemned [IMPLY] attentive [PERIOD]
attentive [AND] foolish [IMPLY] homely [PERIOD]
attentive [AND] popular [IMPLY] foolish [PERIOD]
sensible [AND] condemned [AND] wrong [IMPLY] alert [PERIOD]
foolish [AND] popular [IMPLY] dull [PERIOD]
frightened [IMPLY] dull [PERIOD]
combative [AND] wrong [AND] popular [IMPLY] alert [PERIOD]
homely [AND] alert [IMPLY] sincere [PERIOD]
popular [AND] combative [IMPLY] weary [PERIOD]
dull [AND] weary [AND] foolish [IMPLY] combative [PERIOD]
condemned [AND] ugliest [IMPLY] stupid [PERIOD]
weary [AND] sincere [AND] frightened [IMPLY] homely [PERIOD]
messy [AND] homely [IMPLY] sincere [PERIOD]
condemned [IMPLY] combative [PERIOD]
frightened [AND] alert [IMPLY] stupid [PERIOD]
sincere [AND] homely [AND] dull [IMPLY] combative [PERIOD]
ugliest [AND] dull [AND] attentive [IMPLY] sincere [PERIOD]
wrong [AND] homely [AND] ugliest [IMPLY] foolish [PERIOD]
frightened [AND] wrong [AND] alert [IMPLY] homely [PERIOD]
dull [AND] condemned [IMPLY] combative [PERIOD]
sincere [IMPLY] frightened [PERIOD]
wrong [AND] popular [AND] stupid [IMPLY] weary [PERIOD]
sincere [AND] weary [AND] popular [IMPLY] messy [PERIOD]
foolish [AND] sensible [AND] condemned [IMPLY] ugliest [PERIOD]
wrong [IMPLY] dull [PERIOD]
frightened [AND] stupid [AND] homely [IMPLY] foolish [PERIOD]
homely [AND] combative [AND] messy [IMPLY] dull [PERIOD]
dull [AND] sincere [AND] alert [IMPLY] homely [PERIOD]
popular [AND] dull [IMPLY] weary [PERIOD]
wrong [AND] homely [AND] frightened [IMPLY] popular [PERIOD]
combative [AND] homely [AND] attentive [IMPLY] alert [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   condemned ⇒ combative
   Cannot apply rule “popular ∧ combative ⇒ weary” because missing: popular.
   Cannot apply rule “wrong ∧ popular ∧ stupid ⇒ weary” because missing: wrong, popular.
   Cannot apply rule “popular ∧ dull ⇒ weary” because missing: popular.
",0,4
"Facts:  Alice is bored [PERIOD] Alice is friendly [PERIOD] Alice is hurt [PERIOD] Alice is clumsy [PERIOD] Alice is pleasant [PERIOD] Alice is straightforward [PERIOD] Alice is frightened [PERIOD] Alice is old-fashioned [PERIOD] Alice is dull [PERIOD]
Rules:
straightforward [AND] bossy [IMPLY] stubborn [PERIOD]
aggressive [IMPLY] vivacious [PERIOD]
straightforward [AND] bossy [AND] modern [IMPLY] old-fashioned [PERIOD]
tired [AND] serious [AND] outstanding [IMPLY] friendly [PERIOD]
clumsy [AND] bossy [IMPLY] fearless [PERIOD]
tired [AND] excited [AND] precious [IMPLY] outstanding [PERIOD]
vivacious [IMPLY] helpful [PERIOD]
serious [AND] vivacious [AND] beautiful [IMPLY] stubborn [PERIOD]
excited [AND] hurt [IMPLY] modern [PERIOD]
frightened [AND] straightforward [AND] helpful [IMPLY] bossy [PERIOD]
mean [AND] condemned [IMPLY] hurt [PERIOD]
fearless [IMPLY] beautiful [PERIOD]
frightened [AND] dull [AND] polite [IMPLY] tired [PERIOD]
hurt [IMPLY] helpful [PERIOD]
beautiful [AND] bossy [AND] mean [IMPLY] condemned [PERIOD]
precious [AND] mean [IMPLY] condemned [PERIOD]
dull [IMPLY] modern [PERIOD]
beautiful [IMPLY] modern [PERIOD]
polite [IMPLY] jittery [PERIOD]
straightforward [AND] condemned [AND] stubborn [IMPLY] excited [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   hurt ⇒ helpful
   frightened ∧ straightforward ∧ helpful ⇒ bossy
   clumsy ∧ bossy ⇒ fearless
",1,3
"Facts:  Alice is lonely [PERIOD] Alice is charming [PERIOD] Alice is zealous [PERIOD]
Rules:
calm [AND] lonely [AND] zealous [IMPLY] elated [PERIOD]
lonely [IMPLY] charming [PERIOD]
comfortable [IMPLY] elated [PERIOD]
calm [AND] elated [AND] zealous [IMPLY] comfortable [PERIOD]
calm [AND] charming [AND] zealous [IMPLY] lonely [PERIOD]
elated [AND] comfortable [AND] calm [IMPLY] zealous [PERIOD]
zealous [IMPLY] charming [PERIOD]
charming [AND] zealous [AND] calm [IMPLY] comfortable [PERIOD]
comfortable [AND] lonely [AND] charming [IMPLY] elated [PERIOD]
charming [AND] elated [IMPLY] comfortable [PERIOD]
zealous [AND] comfortable [IMPLY] elated [PERIOD]
calm [AND] charming [AND] lonely [IMPLY] comfortable [PERIOD]
lonely [IMPLY] comfortable [PERIOD]
charming [IMPLY] elated [PERIOD]
lonely [AND] zealous [AND] comfortable [IMPLY] charming [PERIOD]
elated [IMPLY] charming [PERIOD]
charming [AND] lonely [IMPLY] elated [PERIOD]
calm [AND] elated [IMPLY] zealous [PERIOD]
elated [AND] zealous [AND] comfortable [IMPLY] charming [PERIOD]
elated [AND] lonely [AND] comfortable [IMPLY] charming [PERIOD]
comfortable [AND] elated [IMPLY] calm [PERIOD]
comfortable [IMPLY] calm [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   lonely ⇒ comfortable
   comfortable ⇒ calm
",1,2
"Facts: 
Rules:
fancy [IMPLY] tired [PERIOD]
tidy [AND] hilarious [AND] messy [IMPLY] comfortable [PERIOD]
clean [IMPLY] impatient [PERIOD]
tame [AND] helpless [AND] impatient [IMPLY] inexpensive [PERIOD]
dull [IMPLY] cruel [PERIOD]
condemned [IMPLY] fearless [PERIOD]
precious [AND] inexpensive [IMPLY] impatient [PERIOD]
hilarious [AND] tired [IMPLY] scared [PERIOD]
frightened [AND] pleasant [AND] tame [IMPLY] bad-tempered [PERIOD]
pleasant [AND] precious [AND] hilarious [IMPLY] impatient [PERIOD]
bad-tempered [AND] cruel [AND] diplomatic [IMPLY] clean [PERIOD]
hypocritical [AND] fancy [IMPLY] tame [PERIOD]
fearless [AND] clean [AND] helpless [IMPLY] tidy [PERIOD]
scared [AND] impatient [IMPLY] messy [PERIOD]
inexpensive [AND] cruel [IMPLY] easy [PERIOD]
clean [AND] messy [IMPLY] condemned [PERIOD]
dull [IMPLY] precious [PERIOD]
comfortable [AND] tidy [IMPLY] cruel [PERIOD]
fancy [AND] condemned [AND] lucky [IMPLY] fearless [PERIOD]
dull [AND] helpless [IMPLY] supportive [PERIOD]
hypocritical [IMPLY] diplomatic [PERIOD]
proud [AND] frightened [IMPLY] agreeable [PERIOD]
scared [AND] frightened [IMPLY] tame [PERIOD]
precious [IMPLY] scared [PERIOD]
proud [IMPLY] lucky [PERIOD]
tidy [IMPLY] cruel [PERIOD]
reserved [AND] fearless [AND] tame [IMPLY] comfortable [PERIOD]
proud [AND] dull [IMPLY] condemned [PERIOD]
frightened [IMPLY] precious [PERIOD]
agreeable [AND] hypocritical [AND] tame [IMPLY] comfortable [PERIOD]
reserved [AND] messy [IMPLY] diplomatic [PERIOD]
tired [AND] tame [AND] proud [IMPLY] messy [PERIOD]
lucky [AND] fearless [IMPLY] tame [PERIOD]
easy [AND] comfortable [IMPLY] tidy [PERIOD]
proud [AND] tidy [IMPLY] precious [PERIOD]
cruel [IMPLY] impatient [PERIOD]
bad-tempered [AND] lucky [IMPLY] easy [PERIOD]
proud [IMPLY] scared [PERIOD]
victorious [IMPLY] precious [PERIOD]
comfortable [AND] cruel [AND] tidy [IMPLY] easy [PERIOD]
clean [AND] fancy [IMPLY] lucky [PERIOD]
tired [IMPLY] inexpensive [PERIOD]
easy [AND] messy [AND] frightened [IMPLY] helpless [PERIOD]
fearless [AND] lucky [IMPLY] agreeable [PERIOD]
frightened [AND] lucky [AND] tame [IMPLY] reserved [PERIOD]
cruel [AND] tired [IMPLY] hilarious [PERIOD]
scared [IMPLY] supportive [PERIOD]
hypocritical [AND] victorious [IMPLY] diplomatic [PERIOD]
tidy [IMPLY] tame [PERIOD]
victorious [IMPLY] fearless [PERIOD]
clean [AND] supportive [IMPLY] tidy [PERIOD]
innocent [AND] inexpensive [AND] helpless [IMPLY] tidy [PERIOD]
cruel [AND] pleasant [AND] helpless [IMPLY] impatient [PERIOD]
hilarious [AND] supportive [IMPLY] cruel [PERIOD]
precious [AND] clean [IMPLY] scared [PERIOD]
scared [AND] inexpensive [IMPLY] dull [PERIOD]
easy [IMPLY] impatient [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   Cannot apply rule “clean ⇒ impatient” because missing: clean.
   Cannot apply rule “precious ∧ inexpensive ⇒ impatient” because missing: precious, inexpensive.
   Cannot apply rule “pleasant ∧ precious ∧ hilarious ⇒ impatient” because missing: pleasant, precious, hilarious.
   Cannot apply rule “cruel ⇒ impatient” because missing: cruel.
   Cannot apply rule “cruel ∧ pleasant ∧ helpless ⇒ impatient” because missing: cruel, pleasant, helpless.
   Cannot apply rule “easy ⇒ impatient” because missing: easy.
",0,6
"Facts:  Alice is mysterious [PERIOD]
Rules:
thoughtful [AND] hilarious [AND] naughty [IMPLY] sensible [PERIOD]
hilarious [AND] thoughtful [AND] bored [IMPLY] helpful [PERIOD]
broad-minded [AND] bored [AND] aggressive [IMPLY] naughty [PERIOD]
helpful [AND] bored [IMPLY] naughty [PERIOD]
sensible [AND] thoughtful [AND] aggressive [IMPLY] hilarious [PERIOD]
mysterious [AND] naughty [AND] sensible [IMPLY] bored [PERIOD]
bored [IMPLY] busy [PERIOD]
hilarious [AND] bored [IMPLY] thoughtful [PERIOD]
hilarious [IMPLY] sensible [PERIOD]
sensible [IMPLY] broad-minded [PERIOD]
broad-minded [AND] hilarious [IMPLY] helpful [PERIOD]
helpful [IMPLY] mysterious [PERIOD]
mean [AND] broad-minded [AND] naughty [IMPLY] busy [PERIOD]
naughty [AND] mysterious [AND] broad-minded [IMPLY] thoughtful [PERIOD]
mysterious [AND] busy [IMPLY] thoughtful [PERIOD]
helpful [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] helpful [PERIOD]
thoughtful [IMPLY] mysterious [PERIOD]
hilarious [AND] aggressive [AND] mean [IMPLY] thoughtful [PERIOD]
hilarious [IMPLY] mysterious [PERIOD]
sensible [IMPLY] busy [PERIOD]
bored [IMPLY] helpful [PERIOD]
naughty [AND] thoughtful [AND] broad-minded [IMPLY] helpful [PERIOD]
thoughtful [IMPLY] helpful [PERIOD]
bored [AND] mysterious [AND] busy [IMPLY] thoughtful [PERIOD]
sensible [AND] helpful [AND] naughty [IMPLY] mysterious [PERIOD]
thoughtful [IMPLY] mean [PERIOD]
aggressive [IMPLY] mysterious [PERIOD]
busy [AND] mysterious [IMPLY] sensible [PERIOD]
helpful [AND] mean [AND] busy [IMPLY] aggressive [PERIOD]
mean [AND] busy [IMPLY] bored [PERIOD]
mean [IMPLY] hilarious [PERIOD]
busy [AND] bored [AND] mysterious [IMPLY] hilarious [PERIOD]
hilarious [AND] bored [IMPLY] helpful [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   Cannot apply rule “sensible ∧ thoughtful ∧ aggressive ⇒ hilarious” because missing: sensible, thoughtful, aggressive.
   Cannot apply rule “helpful ⇒ hilarious” because missing: helpful.
   Cannot apply rule “mean ⇒ hilarious” because missing: mean.
   Cannot apply rule “busy ∧ bored ∧ mysterious ⇒ hilarious” because missing: busy, bored.
",0,4
"Facts:  Alice is versatile [PERIOD] Alice is modern [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
foolish [AND] versatile [IMPLY] bad-tempered [PERIOD]
impatient [IMPLY] versatile [PERIOD]
modern [AND] versatile [IMPLY] bad-tempered [PERIOD]
modern [AND] foolish [IMPLY] impatient [PERIOD]
elated [AND] impatient [AND] modern [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] modern [PERIOD]
bad-tempered [AND] elated [AND] impatient [IMPLY] modern [PERIOD]
elated [AND] foolish [AND] impatient [IMPLY] bad-tempered [PERIOD]
elated [IMPLY] impatient [PERIOD]
impatient [IMPLY] foolish [PERIOD]
impatient [AND] elated [AND] modern [IMPLY] versatile [PERIOD]
modern [AND] foolish [IMPLY] elated [PERIOD]
versatile [IMPLY] impatient [PERIOD]
bad-tempered [AND] versatile [AND] modern [IMPLY] impatient [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   versatile ⇒ impatient
   impatient ⇒ foolish
   modern ∧ foolish ⇒ elated
",1,3
"Facts:  Alice is sincere [PERIOD] Alice is vivacious [PERIOD] Alice is versatile [PERIOD] Alice is combative [PERIOD] Alice is charming [PERIOD]
Rules:
exuberant [IMPLY] sincere [PERIOD]
vivacious [AND] outrageous [IMPLY] versatile [PERIOD]
clean [AND] vivacious [IMPLY] outrageous [PERIOD]
vivacious [AND] sincere [IMPLY] exuberant [PERIOD]
versatile [AND] clean [IMPLY] cruel [PERIOD]
outrageous [AND] charming [IMPLY] clean [PERIOD]
clean [AND] cruel [IMPLY] charming [PERIOD]
versatile [AND] exuberant [IMPLY] combative [PERIOD]
exuberant [IMPLY] charming [PERIOD]
combative [AND] vivacious [IMPLY] cruel [PERIOD]
versatile [AND] outrageous [AND] vivacious [IMPLY] cruel [PERIOD]
clean [AND] vivacious [AND] combative [IMPLY] charming [PERIOD]
combative [AND] exuberant [AND] outrageous [IMPLY] cruel [PERIOD]
versatile [AND] exuberant [AND] sincere [IMPLY] charming [PERIOD]
clean [IMPLY] versatile [PERIOD]
vivacious [AND] exuberant [AND] versatile [IMPLY] charming [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is strange [PERIOD] Alice is fancy [PERIOD] Alice is inquisitive [PERIOD]
Rules:
tired [IMPLY] strange [PERIOD]
elated [IMPLY] sincere [PERIOD]
inquisitive [IMPLY] sincere [PERIOD]
elated [AND] nervous [AND] tired [IMPLY] fancy [PERIOD]
fancy [IMPLY] strange [PERIOD]
fancy [AND] inquisitive [IMPLY] nervous [PERIOD]
strange [AND] elated [AND] tired [IMPLY] inquisitive [PERIOD]
fancy [AND] strange [AND] nervous [IMPLY] sincere [PERIOD]
sincere [IMPLY] elated [PERIOD]
nervous [AND] tired [IMPLY] strange [PERIOD]
strange [AND] nervous [IMPLY] sincere [PERIOD]
inquisitive [AND] tired [AND] strange [IMPLY] sincere [PERIOD]
tired [AND] fancy [IMPLY] strange [PERIOD]
inquisitive [IMPLY] elated [PERIOD]
tired [AND] sincere [AND] elated [IMPLY] strange [PERIOD]
fancy [AND] sincere [AND] inquisitive [IMPLY] tired [PERIOD]
elated [AND] fancy [IMPLY] sincere [PERIOD]
strange [IMPLY] elated [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   inquisitive ⇒ sincere
",1,1
"Facts:  Alice is bossy [PERIOD] Alice is blushing [PERIOD] Alice is inexpensive [PERIOD] Alice is bad-tempered [PERIOD] Alice is mean [PERIOD] Alice is powerful [PERIOD] Alice is unpleasant [PERIOD] Alice is troubled [PERIOD] Alice is clumsy [PERIOD] Alice is embarrassed [PERIOD] Alice is talented [PERIOD] Alice is lucky [PERIOD] Alice is ambitious [PERIOD] Alice is confused [PERIOD] Alice is wrong [PERIOD] Alice is smart [PERIOD] Alice is easy [PERIOD] Alice is bored [PERIOD] Alice is clean [PERIOD] Alice is intellectual [PERIOD]
Rules:
embarrassed [IMPLY] lucky [PERIOD]
clean [AND] troubled [AND] lucky [IMPLY] calm [PERIOD]
talkative [AND] bad-tempered [AND] stubborn [IMPLY] pleasant [PERIOD]
stubborn [AND] ambitious [IMPLY] blushing [PERIOD]
tense [IMPLY] modern [PERIOD]
thoughtless [IMPLY] pleasant [PERIOD]
stubborn [AND] troubled [AND] confused [IMPLY] calm [PERIOD]
frightened [AND] unpleasant [IMPLY] attentive [PERIOD]
silly [AND] tense [IMPLY] ambitious [PERIOD]
thoughtless [AND] talkative [IMPLY] troubled [PERIOD]
silly [AND] mean [IMPLY] thoughtless [PERIOD]
ambitious [AND] calm [IMPLY] tense [PERIOD]
modern [AND] talented [IMPLY] smart [PERIOD]
wrong [IMPLY] powerful [PERIOD]
bad-tempered [IMPLY] bossy [PERIOD]
troubled [AND] powerful [IMPLY] attentive [PERIOD]
clumsy [IMPLY] mean [PERIOD]
pleasant [AND] frightened [IMPLY] easy [PERIOD]
stubborn [IMPLY] clumsy [PERIOD]
talkative [AND] inexpensive [AND] unpleasant [IMPLY] confused [PERIOD]
bossy [AND] silly [IMPLY] inexpensive [PERIOD]
ambitious [IMPLY] calm [PERIOD]
modern [AND] tense [IMPLY] blushing [PERIOD]
bossy [AND] embarrassed [IMPLY] pleasant [PERIOD]
frightened [AND] bossy [IMPLY] calm [PERIOD]
clean [AND] easy [AND] calm [IMPLY] thoughtless [PERIOD]
modern [AND] ambitious [IMPLY] unpleasant [PERIOD]
bored [IMPLY] bad-tempered [PERIOD]
unpleasant [IMPLY] talented [PERIOD]
intellectual [AND] thoughtless [IMPLY] powerful [PERIOD]
silly [AND] intellectual [IMPLY] troubled [PERIOD]
clumsy [IMPLY] talented [PERIOD]
troubled [AND] intellectual [AND] modern [IMPLY] silly [PERIOD]
embarrassed [IMPLY] confused [PERIOD]
unpleasant [IMPLY] confused [PERIOD]
bossy [AND] silly [AND] intellectual [IMPLY] ambitious [PERIOD]
talkative [AND] talented [AND] intellectual [IMPLY] thoughtless [PERIOD]
bossy [IMPLY] frightened [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   ambitious ⇒ calm
   clean ∧ easy ∧ calm ⇒ thoughtless
",1,2
"Facts:  Alice is gifted [PERIOD] Alice is hurt [PERIOD] Alice is helpless [PERIOD] Alice is gorgeous [PERIOD]
Rules:
hurt [AND] dull [IMPLY] stormy [PERIOD]
silly [IMPLY] dull [PERIOD]
stormy [AND] bad-tempered [AND] helpless [IMPLY] elated [PERIOD]
elated [AND] dull [AND] stormy [IMPLY] distinct [PERIOD]
helpless [IMPLY] elated [PERIOD]
hurt [AND] gifted [AND] gorgeous [IMPLY] stormy [PERIOD]
distinct [IMPLY] elated [PERIOD]
tense [IMPLY] gifted [PERIOD]
helpless [IMPLY] gifted [PERIOD]
helpless [AND] distinct [IMPLY] silly [PERIOD]
bad-tempered [AND] gorgeous [IMPLY] stormy [PERIOD]
distinct [AND] hurt [AND] stormy [IMPLY] bad-tempered [PERIOD]
gorgeous [IMPLY] helpless [PERIOD]
silly [AND] tense [IMPLY] dull [PERIOD]
dull [IMPLY] silly [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   Cannot apply rule “helpless ∧ distinct ⇒ silly” because missing: distinct.
   Cannot apply rule “dull ⇒ silly” because missing: dull.
",0,2
"Facts:  Alice is attentive [PERIOD]
Rules:
stubborn [AND] attentive [AND] grumpy [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] stubborn [PERIOD]
gorgeous [IMPLY] straightforward [PERIOD]
attentive [AND] gleaming [IMPLY] fine [PERIOD]
gleaming [AND] attentive [IMPLY] stubborn [PERIOD]
attentive [AND] gleaming [IMPLY] straightforward [PERIOD]
straightforward [AND] gleaming [AND] gorgeous [IMPLY] mysterious [PERIOD]
gorgeous [AND] shiny [AND] gleaming [IMPLY] grumpy [PERIOD]
fine [IMPLY] grumpy [PERIOD]
shiny [AND] gleaming [AND] innocent [IMPLY] fine [PERIOD]
fine [AND] gorgeous [IMPLY] shiny [PERIOD]
gleaming [AND] mysterious [AND] shiny [IMPLY] attentive [PERIOD]
gorgeous [AND] shiny [AND] straightforward [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] shiny [PERIOD]
attentive [IMPLY] shiny [PERIOD]
straightforward [AND] gorgeous [AND] fine [IMPLY] grumpy [PERIOD]
shiny [IMPLY] stubborn [PERIOD]
gorgeous [AND] innocent [IMPLY] mysterious [PERIOD]
innocent [AND] attentive [AND] ugliest [IMPLY] gorgeous [PERIOD]
ugliest [AND] fine [AND] innocent [IMPLY] gleaming [PERIOD]
shiny [AND] attentive [AND] grumpy [IMPLY] ugliest [PERIOD]
stubborn [IMPLY] gleaming [PERIOD]
shiny [AND] stubborn [AND] gleaming [IMPLY] grumpy [PERIOD]
stubborn [AND] ugliest [IMPLY] gorgeous [PERIOD]
stubborn [AND] attentive [AND] gleaming [IMPLY] shiny [PERIOD]
straightforward [AND] innocent [AND] fine [IMPLY] gleaming [PERIOD]
grumpy [IMPLY] stubborn [PERIOD]
innocent [AND] gleaming [IMPLY] straightforward [PERIOD]
innocent [IMPLY] mysterious [PERIOD]
straightforward [IMPLY] gorgeous [PERIOD]
mysterious [IMPLY] straightforward [PERIOD]
attentive [AND] fine [IMPLY] mysterious [PERIOD]
shiny [IMPLY] grumpy [PERIOD]
stubborn [AND] straightforward [AND] mysterious [IMPLY] innocent [PERIOD]
stubborn [AND] fine [AND] innocent [IMPLY] attentive [PERIOD]
gorgeous [AND] innocent [IMPLY] ugliest [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   attentive ⇒ shiny
   shiny ⇒ grumpy
",1,2
"Facts:  Alice is frail [PERIOD] Alice is bossy [PERIOD] Alice is vivacious [PERIOD] Alice is cruel [PERIOD]
Rules:
cruel [AND] frail [AND] bossy [IMPLY] thoughtless [PERIOD]
frail [IMPLY] confused [PERIOD]
vivacious [AND] confused [IMPLY] bossy [PERIOD]
zealous [AND] frail [IMPLY] cruel [PERIOD]
confused [AND] cruel [AND] vivacious [IMPLY] zealous [PERIOD]
zealous [IMPLY] cruel [PERIOD]
bossy [AND] confused [IMPLY] vivacious [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
   frail ⇒ confused
   confused ∧ cruel ∧ vivacious ⇒ zealous
",1,2
"Facts:  Alice is outrageous [PERIOD] Alice is silly [PERIOD] Alice is pessimistic [PERIOD] Alice is embarrassed [PERIOD] Alice is worrisome [PERIOD] Alice is vivacious [PERIOD] Alice is frail [PERIOD] Alice is reserved [PERIOD] Alice is hurt [PERIOD] Alice is attentive [PERIOD] Alice is careless [PERIOD] Alice is disgusted [PERIOD] Alice is fancy [PERIOD]
Rules:
crowded [AND] vivacious [AND] precious [IMPLY] reserved [PERIOD]
enchanting [AND] anxious [IMPLY] vivacious [PERIOD]
hurt [AND] pleasant [IMPLY] thoughtless [PERIOD]
tidy [AND] silly [AND] smart [IMPLY] worrisome [PERIOD]
embarrassed [AND] confident [IMPLY] sincere [PERIOD]
pessimistic [AND] gorgeous [AND] sincere [IMPLY] worrisome [PERIOD]
thoughtless [AND] enchanting [IMPLY] hurt [PERIOD]
talented [AND] blushing [IMPLY] pleasant [PERIOD]
modern [AND] disgusted [AND] blushing [IMPLY] sincere [PERIOD]
frail [IMPLY] fine [PERIOD]
vivacious [AND] thoughtless [IMPLY] crowded [PERIOD]
pessimistic [AND] sincere [AND] embarrassed [IMPLY] smart [PERIOD]
blushing [IMPLY] vivacious [PERIOD]
blushing [AND] powerful [AND] embarrassed [IMPLY] modern [PERIOD]
smart [AND] embarrassed [IMPLY] enchanting [PERIOD]
smart [AND] embarrassed [IMPLY] disgusted [PERIOD]
hurt [AND] fancy [IMPLY] fine [PERIOD]
fine [IMPLY] sincere [PERIOD]
vivacious [AND] tidy [AND] modern [IMPLY] frail [PERIOD]
silly [AND] worrisome [IMPLY] vivacious [PERIOD]
hurt [AND] confident [IMPLY] fancy [PERIOD]
frail [AND] anxious [IMPLY] vivacious [PERIOD]
disgusted [IMPLY] smart [PERIOD]
outrageous [AND] sincere [IMPLY] blushing [PERIOD]
hurt [IMPLY] outrageous [PERIOD]
powerful [IMPLY] embarrassed [PERIOD]
anxious [IMPLY] vivacious [PERIOD]
fine [IMPLY] talented [PERIOD]
anxious [IMPLY] powerful [PERIOD]
sincere [IMPLY] attentive [PERIOD]
careless [AND] embarrassed [AND] frail [IMPLY] gorgeous [PERIOD]
silly [AND] vivacious [AND] fine [IMPLY] crowded [PERIOD]
modern [AND] powerful [AND] embarrassed [IMPLY] thoughtless [PERIOD]
fine [IMPLY] attentive [PERIOD]
frail [AND] reserved [AND] smart [IMPLY] powerful [PERIOD]
disgusted [IMPLY] embarrassed [PERIOD]
modern [AND] confident [AND] thoughtless [IMPLY] smart [PERIOD]
gorgeous [AND] careless [IMPLY] powerful [PERIOD]
disgusted [AND] careless [IMPLY] powerful [PERIOD]
confident [IMPLY] enchanting [PERIOD]
anxious [AND] disgusted [AND] sincere [IMPLY] crowded [PERIOD]
pleasant [AND] confident [IMPLY] smart [PERIOD]
reserved [AND] blushing [AND] attentive [IMPLY] precious [PERIOD]
vivacious [AND] modern [IMPLY] embarrassed [PERIOD]
pessimistic [AND] worrisome [IMPLY] fine [PERIOD]
talented [IMPLY] hurt [PERIOD]
pessimistic [AND] fancy [AND] tidy [IMPLY] gorgeous [PERIOD]
powerful [AND] attentive [IMPLY] pessimistic [PERIOD]
blushing [AND] careless [IMPLY] fine [PERIOD]
confident [AND] tidy [AND] vivacious [IMPLY] reserved [PERIOD]
powerful [AND] anxious [AND] pleasant [IMPLY] fine [PERIOD]
powerful [IMPLY] tidy [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   frail ⇒ fine
   fine ⇒ talented
   frail ⇒ fine
   fine ⇒ sincere
   outrageous ∧ sincere ⇒ blushing
   talented ∧ blushing ⇒ pleasant
",1,6
"Facts:  Alice is anxious [PERIOD]
Rules:
broad-minded [AND] alert [IMPLY] unpleasant [PERIOD]
agreeable [AND] thoughtless [AND] easy [IMPLY] fancy [PERIOD]
unpleasant [AND] thoughtless [AND] bored [IMPLY] broad-minded [PERIOD]
alert [IMPLY] agreeable [PERIOD]
famous [IMPLY] strange [PERIOD]
agreeable [AND] alert [IMPLY] strange [PERIOD]
anxious [AND] broad-minded [AND] strange [IMPLY] beautiful [PERIOD]
alert [AND] anxious [IMPLY] beautiful [PERIOD]
unpleasant [AND] famous [IMPLY] strange [PERIOD]
alert [AND] easy [IMPLY] beautiful [PERIOD]
anxious [IMPLY] unpleasant [PERIOD]
unpleasant [AND] fancy [AND] thoughtless [IMPLY] anxious [PERIOD]
thoughtless [AND] bored [AND] famous [IMPLY] easy [PERIOD]
famous [AND] thoughtless [AND] unpleasant [IMPLY] crowded [PERIOD]
crowded [IMPLY] strange [PERIOD]
thoughtless [IMPLY] beautiful [PERIOD]
strange [IMPLY] crowded [PERIOD]
beautiful [AND] anxious [AND] thoughtless [IMPLY] crowded [PERIOD]
fancy [AND] alert [AND] anxious [IMPLY] agreeable [PERIOD]
beautiful [IMPLY] unpleasant [PERIOD]
alert [IMPLY] thoughtless [PERIOD]
beautiful [IMPLY] bored [PERIOD]
broad-minded [AND] unpleasant [IMPLY] strange [PERIOD]
easy [IMPLY] agreeable [PERIOD]
agreeable [AND] fancy [AND] crowded [IMPLY] alert [PERIOD]
easy [AND] agreeable [IMPLY] beautiful [PERIOD]
fancy [IMPLY] easy [PERIOD]
beautiful [AND] bored [AND] famous [IMPLY] agreeable [PERIOD]
alert [IMPLY] anxious [PERIOD]
anxious [AND] thoughtless [IMPLY] unpleasant [PERIOD]
crowded [AND] agreeable [IMPLY] easy [PERIOD]
famous [AND] anxious [IMPLY] strange [PERIOD]
broad-minded [AND] crowded [IMPLY] agreeable [PERIOD]
agreeable [AND] famous [IMPLY] fancy [PERIOD]
anxious [AND] thoughtless [IMPLY] broad-minded [PERIOD]
fancy [AND] strange [AND] anxious [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] alert [PERIOD]
bored [AND] alert [IMPLY] famous [PERIOD]
broad-minded [AND] beautiful [AND] bored [IMPLY] thoughtless [PERIOD]
alert [IMPLY] beautiful [PERIOD]
fancy [IMPLY] thoughtless [PERIOD]
anxious [AND] alert [IMPLY] famous [PERIOD]
bored [AND] alert [AND] unpleasant [IMPLY] agreeable [PERIOD]
strange [AND] anxious [IMPLY] crowded [PERIOD]
crowded [AND] alert [IMPLY] famous [PERIOD]
anxious [IMPLY] easy [PERIOD]
fancy [AND] strange [AND] bored [IMPLY] anxious [PERIOD]
agreeable [AND] crowded [IMPLY] anxious [PERIOD]
easy [AND] bored [IMPLY] beautiful [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   anxious ⇒ unpleasant
   unpleasant ⇒ alert
   alert ⇒ thoughtless
   anxious ∧ thoughtless ⇒ broad-minded
",1,4
"Facts:  Alice is wandering [PERIOD] Alice is precious [PERIOD] Alice is dishonest [PERIOD] Alice is quaint [PERIOD] Alice is alert [PERIOD] Alice is intellectual [PERIOD] Alice is loving [PERIOD]
Rules:
polite [AND] inquisitive [AND] intellectual [IMPLY] tense [PERIOD]
perfect [AND] inquisitive [IMPLY] intellectual [PERIOD]
clean [IMPLY] good [PERIOD]
alert [AND] friendly [IMPLY] stubborn [PERIOD]
good [AND] tense [IMPLY] polite [PERIOD]
precious [IMPLY] perfect [PERIOD]
gleaming [AND] good [AND] tired [IMPLY] intellectual [PERIOD]
tired [AND] witty [AND] average [IMPLY] long [PERIOD]
precious [IMPLY] polite [PERIOD]
dishonest [IMPLY] friendly [PERIOD]
loving [AND] disgusted [IMPLY] gleaming [PERIOD]
dishonest [AND] polite [IMPLY] witty [PERIOD]
polite [IMPLY] perfect [PERIOD]
witty [IMPLY] intellectual [PERIOD]
tense [AND] hurt [AND] gorgeous [IMPLY] stubborn [PERIOD]
disgusted [AND] nervous [AND] foolish [IMPLY] tired [PERIOD]
perfect [AND] quaint [AND] disgusted [IMPLY] foolish [PERIOD]
quaint [IMPLY] disgusted [PERIOD]
average [AND] clean [AND] sincere [IMPLY] good [PERIOD]
wandering [AND] sincere [AND] average [IMPLY] disgusted [PERIOD]
foolish [IMPLY] inquisitive [PERIOD]
wandering [IMPLY] versatile [PERIOD]
precious [AND] inquisitive [IMPLY] alert [PERIOD]
stubborn [AND] good [IMPLY] clean [PERIOD]
polite [AND] disgusted [AND] clean [IMPLY] precious [PERIOD]
friendly [AND] perfect [AND] versatile [IMPLY] quaint [PERIOD]
perfect [AND] stubborn [IMPLY] loving [PERIOD]
tired [IMPLY] clean [PERIOD]
stubborn [AND] gleaming [IMPLY] quaint [PERIOD]
perfect [IMPLY] foolish [PERIOD]
gorgeous [AND] versatile [AND] alert [IMPLY] intellectual [PERIOD]
witty [IMPLY] polite [PERIOD]
gorgeous [IMPLY] polite [PERIOD]
alert [IMPLY] precious [PERIOD]
dishonest [IMPLY] perfect [PERIOD]
tired [AND] long [IMPLY] sincere [PERIOD]
average [AND] friendly [AND] witty [IMPLY] sensible [PERIOD]
friendly [AND] precious [IMPLY] gleaming [PERIOD]
hurt [AND] alert [AND] loving [IMPLY] nervous [PERIOD]
average [IMPLY] perfect [PERIOD]
witty [AND] sincere [IMPLY] quaint [PERIOD]
average [IMPLY] versatile [PERIOD]
long [IMPLY] inquisitive [PERIOD]
sincere [IMPLY] quaint [PERIOD]
good [AND] versatile [IMPLY] dishonest [PERIOD]
versatile [IMPLY] intellectual [PERIOD]
good [AND] sensible [IMPLY] stubborn [PERIOD]
perfect [IMPLY] good [PERIOD]
nervous [IMPLY] precious [PERIOD]
disgusted [AND] precious [IMPLY] alert [PERIOD]
versatile [AND] perfect [AND] nervous [IMPLY] long [PERIOD]
foolish [AND] good [AND] tense [IMPLY] polite [PERIOD]
gorgeous [AND] precious [IMPLY] hurt [PERIOD]
hurt [AND] stubborn [AND] gleaming [IMPLY] friendly [PERIOD]
tired [AND] intellectual [IMPLY] precious [PERIOD]
stubborn [AND] versatile [AND] disgusted [IMPLY] dishonest [PERIOD]
long [AND] tired [IMPLY] friendly [PERIOD]
good [AND] sincere [AND] loving [IMPLY] perfect [PERIOD]
disgusted [AND] gorgeous [IMPLY] friendly [PERIOD]
versatile [IMPLY] stubborn [PERIOD]
disgusted [AND] foolish [AND] sensible [IMPLY] intellectual [PERIOD]
perfect [AND] stubborn [IMPLY] friendly [PERIOD]
loving [AND] versatile [AND] sensible [IMPLY] clean [PERIOD]
sensible [IMPLY] quaint [PERIOD]
polite [AND] good [AND] friendly [IMPLY] witty [PERIOD]
loving [AND] intellectual [IMPLY] stubborn [PERIOD]
intellectual [IMPLY] gorgeous [PERIOD]
loving [AND] friendly [IMPLY] inquisitive [PERIOD]
sincere [AND] versatile [AND] alert [IMPLY] good [PERIOD]
tense [IMPLY] intellectual [PERIOD]
inquisitive [AND] intellectual [AND] good [IMPLY] disgusted [PERIOD]
sensible [IMPLY] stubborn [PERIOD]
clean [IMPLY] sincere [PERIOD]
nervous [IMPLY] wandering [PERIOD]
alert [IMPLY] hurt [PERIOD]
tired [AND] average [AND] witty [IMPLY] alert [PERIOD]
dishonest [IMPLY] hurt [PERIOD]
stubborn [IMPLY] disgusted [PERIOD]
sensible [AND] witty [AND] gleaming [IMPLY] stubborn [PERIOD]
sincere [IMPLY] hurt [PERIOD]
precious [AND] gorgeous [AND] tense [IMPLY] intellectual [PERIOD]
dishonest [AND] tense [AND] wandering [IMPLY] witty [PERIOD]
average [AND] sincere [IMPLY] loving [PERIOD]
sensible [IMPLY] disgusted [PERIOD]
inquisitive [AND] versatile [IMPLY] dishonest [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   loving ∧ intellectual ⇒ stubborn
   dishonest ⇒ perfect
   perfect ⇒ good
   stubborn ∧ good ⇒ clean
   clean ⇒ sincere
",1,5
"Facts:  Alice is innocent [PERIOD] Alice is homely [PERIOD] Alice is inquisitive [PERIOD]
Rules:
tense [AND] frightened [AND] inexpensive [IMPLY] fearless [PERIOD]
fearless [IMPLY] tense [PERIOD]
frightened [AND] proud [IMPLY] homely [PERIOD]
mean [AND] inexpensive [AND] homely [IMPLY] dull [PERIOD]
silly [AND] fearless [IMPLY] mean [PERIOD]
mean [IMPLY] homely [PERIOD]
dull [IMPLY] silly [PERIOD]
inexpensive [IMPLY] wide-eyed [PERIOD]
curious [AND] homely [AND] silly [IMPLY] inexpensive [PERIOD]
frightened [AND] innocent [AND] dull [IMPLY] silly [PERIOD]
innocent [AND] mean [AND] tense [IMPLY] inquisitive [PERIOD]
frightened [AND] homely [IMPLY] curious [PERIOD]
inexpensive [AND] silly [AND] innocent [IMPLY] inquisitive [PERIOD]
fearless [AND] silly [IMPLY] inquisitive [PERIOD]
frightened [AND] proud [AND] tense [IMPLY] homely [PERIOD]
frightened [AND] innocent [IMPLY] homely [PERIOD]
dull [IMPLY] tense [PERIOD]
silly [AND] homely [AND] frightened [IMPLY] inexpensive [PERIOD]
homely [AND] tense [IMPLY] proud [PERIOD]
wide-eyed [AND] tense [AND] dull [IMPLY] silly [PERIOD]
wide-eyed [AND] mean [IMPLY] dull [PERIOD]
homely [AND] dull [IMPLY] tense [PERIOD]
wide-eyed [AND] silly [IMPLY] mean [PERIOD]
dull [AND] proud [AND] inquisitive [IMPLY] innocent [PERIOD]
innocent [AND] curious [AND] frightened [IMPLY] tense [PERIOD]
inquisitive [AND] silly [IMPLY] curious [PERIOD]
tense [AND] innocent [IMPLY] dull [PERIOD]
dull [AND] inexpensive [IMPLY] mean [PERIOD]
homely [IMPLY] frightened [PERIOD]
silly [AND] dull [AND] fearless [IMPLY] proud [PERIOD]
inquisitive [AND] fearless [IMPLY] frightened [PERIOD]
homely [IMPLY] proud [PERIOD]
frightened [AND] proud [AND] inexpensive [IMPLY] innocent [PERIOD]
proud [IMPLY] silly [PERIOD]
innocent [AND] inquisitive [IMPLY] curious [PERIOD]
homely [AND] mean [IMPLY] fearless [PERIOD]
curious [AND] homely [AND] inexpensive [IMPLY] dull [PERIOD]
dull [AND] frightened [AND] silly [IMPLY] tense [PERIOD]
innocent [IMPLY] silly [PERIOD]
curious [AND] silly [AND] inquisitive [IMPLY] wide-eyed [PERIOD]
dull [AND] inquisitive [IMPLY] fearless [PERIOD]
dull [AND] proud [AND] frightened [IMPLY] curious [PERIOD]
wide-eyed [AND] inexpensive [AND] tense [IMPLY] silly [PERIOD]
proud [AND] frightened [AND] fearless [IMPLY] innocent [PERIOD]
curious [AND] proud [AND] frightened [IMPLY] inquisitive [PERIOD]
fearless [IMPLY] inexpensive [PERIOD]
inexpensive [AND] frightened [IMPLY] inquisitive [PERIOD]
tense [AND] frightened [IMPLY] dull [PERIOD]
tense [AND] frightened [IMPLY] proud [PERIOD]
tense [AND] frightened [AND] curious [IMPLY] proud [PERIOD]
inquisitive [IMPLY] homely [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   innocent ∧ inquisitive ⇒ curious
   innocent ⇒ silly
   curious ∧ silly ∧ inquisitive ⇒ wide-eyed
",1,3
"Facts:  Alice is uptight [PERIOD] Alice is condemned [PERIOD] Alice is ugly [PERIOD] Alice is stormy [PERIOD]
Rules:
uptight [AND] aggressive [IMPLY] reserved [PERIOD]
troubled [IMPLY] wandering [PERIOD]
hilarious [AND] good [IMPLY] cute [PERIOD]
ugly [AND] tired [AND] frail [IMPLY] cute [PERIOD]
wrong [AND] anxious [AND] sensible [IMPLY] good [PERIOD]
sensible [AND] disobedient [AND] hurt [IMPLY] good [PERIOD]
silly [AND] zealous [IMPLY] tired [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   No rule concludes “hilarious.”
",0,1
"Facts: 
Rules:
smart [IMPLY] grumpy [PERIOD]
grumpy [AND] helpful [AND] joyous [IMPLY] fragile [PERIOD]
helpful [AND] fragile [AND] joyous [IMPLY] nervous [PERIOD]
grumpy [IMPLY] helpful [PERIOD]
grumpy [AND] fragile [AND] helpful [IMPLY] smart [PERIOD]
joyous [AND] fragile [AND] grumpy [IMPLY] helpful [PERIOD]
helpful [AND] joyous [IMPLY] nervous [PERIOD]
joyous [AND] smart [AND] grumpy [IMPLY] nervous [PERIOD]
nervous [IMPLY] helpful [PERIOD]
smart [IMPLY] fragile [PERIOD]
grumpy [IMPLY] nervous [PERIOD]
joyous [AND] nervous [IMPLY] fragile [PERIOD]
grumpy [AND] nervous [IMPLY] joyous [PERIOD]
fragile [AND] joyous [AND] grumpy [IMPLY] nervous [PERIOD]
grumpy [IMPLY] joyous [PERIOD]
fragile [AND] smart [AND] nervous [IMPLY] helpful [PERIOD]
nervous [IMPLY] joyous [PERIOD]
helpful [AND] fragile [AND] nervous [IMPLY] grumpy [PERIOD]
helpful [AND] joyous [IMPLY] smart [PERIOD]
helpful [AND] fragile [IMPLY] grumpy [PERIOD]
joyous [AND] nervous [AND] helpful [IMPLY] grumpy [PERIOD]
helpful [IMPLY] joyous [PERIOD]
Query: Alice is helpful [PERIOD]","Proof chain:
   Cannot apply rule “grumpy ⇒ helpful” because missing: grumpy.
   Cannot apply rule “joyous ∧ fragile ∧ grumpy ⇒ helpful” because missing: joyous, fragile, grumpy.
   Cannot apply rule “nervous ⇒ helpful” because missing: nervous.
   Cannot apply rule “fragile ∧ smart ∧ nervous ⇒ helpful” because missing: fragile, smart, nervous.
",0,4
"Facts: 
Rules:
friendly [AND] agreeable [AND] stormy [IMPLY] wrong [PERIOD]
wrong [IMPLY] glamorous [PERIOD]
perfect [AND] unpleasant [IMPLY] wrong [PERIOD]
bored [IMPLY] helpless [PERIOD]
helpless [IMPLY] unpleasant [PERIOD]
bad-tempered [AND] agreeable [AND] stormy [IMPLY] unpleasant [PERIOD]
stormy [AND] glamorous [AND] friendly [IMPLY] wrong [PERIOD]
stormy [AND] glamorous [AND] bad-tempered [IMPLY] friendly [PERIOD]
glamorous [AND] bored [IMPLY] friendly [PERIOD]
dishonest [IMPLY] perfect [PERIOD]
agreeable [IMPLY] unpleasant [PERIOD]
glamorous [AND] vivacious [AND] wrong [IMPLY] perfect [PERIOD]
perfect [AND] helpless [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] perfect [PERIOD]
perfect [AND] wrong [AND] bad-tempered [IMPLY] unpleasant [PERIOD]
glamorous [IMPLY] bad-tempered [PERIOD]
unpleasant [IMPLY] perfect [PERIOD]
dishonest [AND] perfect [IMPLY] friendly [PERIOD]
glamorous [IMPLY] unpleasant [PERIOD]
wrong [AND] vivacious [IMPLY] bored [PERIOD]
dishonest [AND] vivacious [AND] bored [IMPLY] helpless [PERIOD]
perfect [AND] vivacious [AND] bored [IMPLY] unpleasant [PERIOD]
dishonest [IMPLY] vivacious [PERIOD]
bored [AND] unpleasant [AND] wrong [IMPLY] helpless [PERIOD]
wrong [AND] vivacious [AND] friendly [IMPLY] stormy [PERIOD]
dishonest [AND] stormy [IMPLY] perfect [PERIOD]
agreeable [AND] bored [AND] stormy [IMPLY] unpleasant [PERIOD]
wrong [AND] helpless [AND] dishonest [IMPLY] glamorous [PERIOD]
wrong [AND] glamorous [IMPLY] helpless [PERIOD]
bad-tempered [AND] friendly [AND] unpleasant [IMPLY] vivacious [PERIOD]
vivacious [AND] friendly [IMPLY] glamorous [PERIOD]
bored [AND] unpleasant [AND] bad-tempered [IMPLY] helpless [PERIOD]
stormy [IMPLY] helpless [PERIOD]
unpleasant [AND] helpless [AND] glamorous [IMPLY] vivacious [PERIOD]
bad-tempered [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] friendly [PERIOD]
friendly [IMPLY] perfect [PERIOD]
vivacious [IMPLY] glamorous [PERIOD]
agreeable [AND] bad-tempered [IMPLY] friendly [PERIOD]
helpless [IMPLY] stormy [PERIOD]
bored [AND] friendly [AND] perfect [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] helpless [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   Cannot apply rule “bored ⇒ helpless” because missing: bored.
   Cannot apply rule “dishonest ∧ vivacious ∧ bored ⇒ helpless” because missing: dishonest, vivacious, bored.
   Cannot apply rule “bored ∧ unpleasant ∧ wrong ⇒ helpless” because missing: bored, unpleasant, wrong.
   Cannot apply rule “wrong ∧ glamorous ⇒ helpless” because missing: wrong, glamorous.
   Cannot apply rule “bored ∧ unpleasant ∧ bad-tempered ⇒ helpless” because missing: bored, unpleasant, bad-tempered.
   Cannot apply rule “stormy ⇒ helpless” because missing: stormy.
   Cannot apply rule “vivacious ⇒ helpless” because missing: vivacious.
",0,7
"Facts:  Alice is average [PERIOD] Alice is dull [PERIOD] Alice is stormy [PERIOD]
Rules:
sleepy [AND] stormy [AND] average [IMPLY] dull [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
stupid [AND] selfish [IMPLY] rude [PERIOD]
strange [AND] selfish [IMPLY] confident [PERIOD]
confident [AND] selfish [IMPLY] perfect [PERIOD]
uptight [AND] stormy [AND] confident [IMPLY] selfish [PERIOD]
uptight [IMPLY] stupid [PERIOD]
disgusted [IMPLY] perfect [PERIOD]
victorious [AND] stormy [IMPLY] perfect [PERIOD]
innocent [AND] disgusted [IMPLY] uptight [PERIOD]
stupid [IMPLY] hypocritical [PERIOD]
innocent [AND] stupid [AND] confident [IMPLY] lucky [PERIOD]
innocent [AND] stupid [AND] hypocritical [IMPLY] confident [PERIOD]
confident [IMPLY] strange [PERIOD]
innocent [IMPLY] jittery [PERIOD]
confident [AND] stormy [AND] lucky [IMPLY] stupid [PERIOD]
jittery [AND] strange [IMPLY] rude [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “confident ∧ selfish ⇒ perfect” because missing: confident, selfish.
   Cannot apply rule “disgusted ⇒ perfect” because missing: disgusted.
   Cannot apply rule “victorious ∧ stormy ⇒ perfect” because missing: victorious, stormy.
",0,3
"Facts:  Alice is modern [PERIOD] Alice is hilarious [PERIOD] Alice is jittery [PERIOD] Alice is confident [PERIOD] Alice is witty [PERIOD]
Rules:
impatient [IMPLY] worried [PERIOD]
tidy [AND] jittery [IMPLY] witty [PERIOD]
pleasant [AND] jittery [AND] outrageous [IMPLY] witty [PERIOD]
tired [IMPLY] good [PERIOD]
pleasant [AND] worried [AND] gorgeous [IMPLY] horrible [PERIOD]
gorgeous [AND] clean [AND] good [IMPLY] jittery [PERIOD]
impatient [AND] attentive [AND] good [IMPLY] jittery [PERIOD]
outrageous [IMPLY] horrible [PERIOD]
good [AND] jittery [AND] attentive [IMPLY] modern [PERIOD]
impatient [AND] good [AND] jittery [IMPLY] modern [PERIOD]
good [AND] modern [AND] tired [IMPLY] attentive [PERIOD]
tired [AND] horrible [IMPLY] hilarious [PERIOD]
gorgeous [AND] horrible [IMPLY] jittery [PERIOD]
gorgeous [AND] jittery [AND] modern [IMPLY] witty [PERIOD]
hilarious [AND] witty [AND] impatient [IMPLY] worried [PERIOD]
tired [AND] witty [IMPLY] hilarious [PERIOD]
outrageous [IMPLY] good [PERIOD]
tidy [AND] outrageous [AND] jittery [IMPLY] worried [PERIOD]
horrible [AND] attentive [IMPLY] modern [PERIOD]
tidy [AND] gorgeous [AND] jittery [IMPLY] clean [PERIOD]
impatient [AND] tidy [IMPLY] tired [PERIOD]
tired [AND] pleasant [AND] jittery [IMPLY] witty [PERIOD]
gorgeous [AND] outrageous [IMPLY] tidy [PERIOD]
horrible [IMPLY] tidy [PERIOD]
outrageous [AND] worried [IMPLY] pleasant [PERIOD]
modern [AND] horrible [AND] gorgeous [IMPLY] impatient [PERIOD]
confident [AND] tidy [IMPLY] jittery [PERIOD]
tired [AND] outrageous [IMPLY] horrible [PERIOD]
hilarious [IMPLY] gorgeous [PERIOD]
tired [AND] witty [AND] impatient [IMPLY] outrageous [PERIOD]
jittery [AND] attentive [AND] witty [IMPLY] impatient [PERIOD]
horrible [IMPLY] gorgeous [PERIOD]
good [AND] pleasant [AND] gorgeous [IMPLY] impatient [PERIOD]
pleasant [IMPLY] witty [PERIOD]
pleasant [AND] horrible [IMPLY] good [PERIOD]
witty [AND] attentive [AND] tidy [IMPLY] gorgeous [PERIOD]
good [AND] tired [AND] hilarious [IMPLY] outrageous [PERIOD]
attentive [AND] horrible [AND] impatient [IMPLY] gorgeous [PERIOD]
tired [AND] hilarious [AND] pleasant [IMPLY] outrageous [PERIOD]
modern [AND] horrible [AND] witty [IMPLY] outrageous [PERIOD]
impatient [AND] worried [AND] hilarious [IMPLY] attentive [PERIOD]
witty [IMPLY] jittery [PERIOD]
outrageous [AND] hilarious [AND] attentive [IMPLY] modern [PERIOD]
clean [AND] pleasant [IMPLY] attentive [PERIOD]
pleasant [IMPLY] horrible [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   hilarious ⇒ gorgeous
   Cannot apply rule “pleasant ∧ worried ∧ gorgeous ⇒ horrible” because missing: pleasant, worried.
   Cannot apply rule “outrageous ⇒ horrible” because missing: outrageous.
   Cannot apply rule “tired ∧ outrageous ⇒ horrible” because missing: tired, outrageous.
   Cannot apply rule “pleasant ⇒ horrible” because missing: pleasant.
",0,5
"Facts:  Alice is tame [PERIOD] Alice is disgusted [PERIOD] Alice is proud [PERIOD] Alice is amused [PERIOD]
Rules:
worrisome [IMPLY] disgusted [PERIOD]
elated [IMPLY] versatile [PERIOD]
spotless [AND] lucky [AND] dishonest [IMPLY] tame [PERIOD]
tame [AND] quaint [IMPLY] lucky [PERIOD]
difficult [AND] embarrassed [IMPLY] amused [PERIOD]
proud [AND] embarrassed [AND] tame [IMPLY] helpless [PERIOD]
perfect [IMPLY] bright [PERIOD]
grumpy [AND] impartial [IMPLY] dull [PERIOD]
confident [IMPLY] fine [PERIOD]
vivacious [IMPLY] worrisome [PERIOD]
plain [AND] ugly [AND] vivacious [IMPLY] spotless [PERIOD]
confident [IMPLY] plain [PERIOD]
plain [AND] ugliest [IMPLY] sensible [PERIOD]
spotless [AND] elated [IMPLY] dull [PERIOD]
difficult [AND] lucky [IMPLY] fine [PERIOD]
ugly [IMPLY] lucky [PERIOD]
impartial [AND] disgusted [IMPLY] versatile [PERIOD]
fine [IMPLY] worrisome [PERIOD]
tame [AND] vivacious [IMPLY] embarrassed [PERIOD]
dull [IMPLY] elated [PERIOD]
spotless [IMPLY] confident [PERIOD]
ugliest [IMPLY] disgusted [PERIOD]
plain [AND] ugliest [AND] sensible [IMPLY] dull [PERIOD]
helpful [AND] grumpy [AND] tame [IMPLY] plain [PERIOD]
impartial [AND] quaint [AND] tame [IMPLY] bright [PERIOD]
spotless [IMPLY] helpful [PERIOD]
embarrassed [IMPLY] fine [PERIOD]
sensible [AND] lucky [AND] difficult [IMPLY] quaint [PERIOD]
helpful [AND] dull [AND] fine [IMPLY] impartial [PERIOD]
ugly [AND] plain [IMPLY] grumpy [PERIOD]
amused [AND] confident [AND] tame [IMPLY] helpful [PERIOD]
vivacious [AND] grumpy [AND] amused [IMPLY] lucky [PERIOD]
disgusted [IMPLY] fine [PERIOD]
worrisome [AND] helpless [AND] elated [IMPLY] grumpy [PERIOD]
amused [AND] ugliest [IMPLY] perfect [PERIOD]
worrisome [AND] plain [IMPLY] helpless [PERIOD]
plain [AND] amused [AND] helpful [IMPLY] lucky [PERIOD]
impartial [AND] worrisome [IMPLY] ugliest [PERIOD]
helpful [AND] fine [AND] spotless [IMPLY] dishonest [PERIOD]
sensible [IMPLY] vivacious [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   Cannot apply rule “proud ∧ embarrassed ∧ tame ⇒ helpless” because missing: embarrassed.
   disgusted ⇒ fine
   fine ⇒ worrisome
   Cannot apply rule “worrisome ∧ plain ⇒ helpless” because missing: plain.
",0,4
"Facts:  Alice is jittery [PERIOD] Alice is serious [PERIOD] Alice is bad-tempered [PERIOD] Alice is rude [PERIOD] Alice is dull [PERIOD] Alice is cruel [PERIOD] Alice is sincere [PERIOD] Alice is clumsy [PERIOD] Alice is tidy [PERIOD] Alice is comfortable [PERIOD] Alice is clean [PERIOD]
Rules:
rude [AND] foolish [IMPLY] combative [PERIOD]
silly [AND] cute [AND] serious [IMPLY] thoughtful [PERIOD]
combative [AND] outrageous [IMPLY] bad-tempered [PERIOD]
combative [AND] comfortable [IMPLY] jittery [PERIOD]
clean [IMPLY] silly [PERIOD]
clean [AND] fancy [IMPLY] dull [PERIOD]
foolish [AND] thoughtful [IMPLY] serious [PERIOD]
lucky [AND] bad-tempered [IMPLY] innocent [PERIOD]
comfortable [AND] bad-tempered [IMPLY] innocent [PERIOD]
foolish [AND] jittery [AND] thoughtful [IMPLY] rude [PERIOD]
rude [AND] foolish [AND] combative [IMPLY] cute [PERIOD]
thoughtful [IMPLY] tidy [PERIOD]
innocent [AND] charming [AND] foolish [IMPLY] attractive [PERIOD]
cruel [AND] sincere [AND] serious [IMPLY] jittery [PERIOD]
serious [AND] stubborn [AND] charming [IMPLY] outrageous [PERIOD]
combative [IMPLY] dull [PERIOD]
clumsy [IMPLY] outrageous [PERIOD]
innocent [IMPLY] jittery [PERIOD]
fancy [AND] outrageous [AND] jittery [IMPLY] sincere [PERIOD]
cute [AND] silly [AND] innocent [IMPLY] thoughtful [PERIOD]
rude [IMPLY] cruel [PERIOD]
silly [IMPLY] innocent [PERIOD]
stubborn [AND] outrageous [IMPLY] cute [PERIOD]
jittery [AND] serious [AND] fancy [IMPLY] sincere [PERIOD]
attractive [IMPLY] thoughtful [PERIOD]
serious [AND] dull [AND] combative [IMPLY] cute [PERIOD]
stubborn [AND] jittery [AND] attractive [IMPLY] clean [PERIOD]
serious [AND] thoughtful [AND] rude [IMPLY] fancy [PERIOD]
sincere [AND] dull [IMPLY] innocent [PERIOD]
combative [AND] cute [IMPLY] dishonest [PERIOD]
clumsy [IMPLY] tidy [PERIOD]
rude [IMPLY] dishonest [PERIOD]
sincere [AND] bad-tempered [IMPLY] attractive [PERIOD]
dishonest [AND] charming [AND] serious [IMPLY] clean [PERIOD]
attractive [AND] charming [AND] clumsy [IMPLY] innocent [PERIOD]
charming [AND] innocent [IMPLY] cruel [PERIOD]
cruel [AND] combative [IMPLY] lucky [PERIOD]
bad-tempered [IMPLY] dull [PERIOD]
attractive [AND] combative [AND] lucky [IMPLY] dull [PERIOD]
cruel [AND] outrageous [AND] innocent [IMPLY] rude [PERIOD]
dull [AND] attractive [AND] foolish [IMPLY] charming [PERIOD]
outrageous [IMPLY] fancy [PERIOD]
cute [AND] attractive [AND] clean [IMPLY] charming [PERIOD]
combative [AND] cute [AND] outrageous [IMPLY] bad-tempered [PERIOD]
foolish [AND] silly [IMPLY] outrageous [PERIOD]
silly [AND] thoughtful [AND] outrageous [IMPLY] charming [PERIOD]
attractive [IMPLY] serious [PERIOD]
thoughtful [AND] dull [IMPLY] charming [PERIOD]
cruel [AND] innocent [AND] tidy [IMPLY] foolish [PERIOD]
outrageous [IMPLY] bad-tempered [PERIOD]
foolish [AND] combative [AND] outrageous [IMPLY] bad-tempered [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   comfortable ∧ bad-tempered ⇒ innocent
   cruel ∧ innocent ∧ tidy ⇒ foolish
   comfortable ∧ bad-tempered ⇒ innocent
   cruel ∧ innocent ∧ tidy ⇒ foolish
   rude ∧ foolish ⇒ combative
   rude ∧ foolish ∧ combative ⇒ cute
",1,6
"Facts:  Alice is polite [PERIOD] Alice is nervous [PERIOD] Alice is weary [PERIOD] Alice is intellectual [PERIOD] Alice is outrageous [PERIOD] Alice is sincere [PERIOD] Alice is frantic [PERIOD] Alice is plain [PERIOD]
Rules:
intellectual [AND] polite [AND] frightened [IMPLY] frantic [PERIOD]
frantic [AND] jittery [AND] outrageous [IMPLY] sensible [PERIOD]
lonely [AND] wide-eyed [IMPLY] shy [PERIOD]
uptight [AND] jittery [AND] old-fashioned [IMPLY] mysterious [PERIOD]
shy [IMPLY] mysterious [PERIOD]
reserved [IMPLY] helpful [PERIOD]
rude [AND] old-fashioned [AND] quaint [IMPLY] sincere [PERIOD]
helpful [IMPLY] reserved [PERIOD]
vivacious [AND] mysterious [AND] intellectual [IMPLY] wide-eyed [PERIOD]
lonely [IMPLY] helpful [PERIOD]
helpful [IMPLY] outrageous [PERIOD]
polite [AND] sensible [AND] helpful [IMPLY] old-fashioned [PERIOD]
exuberant [AND] old-fashioned [IMPLY] sensible [PERIOD]
vivacious [AND] frantic [AND] nervous [IMPLY] reserved [PERIOD]
exuberant [AND] tense [AND] jittery [IMPLY] loving [PERIOD]
helpful [IMPLY] nervous [PERIOD]
disgusted [AND] quaint [AND] reserved [IMPLY] sincere [PERIOD]
loving [IMPLY] polite [PERIOD]
old-fashioned [IMPLY] vivacious [PERIOD]
frightened [AND] old-fashioned [AND] quaint [IMPLY] mysterious [PERIOD]
sensible [AND] polite [AND] reserved [IMPLY] helpful [PERIOD]
mysterious [IMPLY] intellectual [PERIOD]
loving [AND] mysterious [AND] lonely [IMPLY] sincere [PERIOD]
outrageous [AND] frantic [IMPLY] quaint [PERIOD]
old-fashioned [IMPLY] intellectual [PERIOD]
old-fashioned [AND] vivacious [AND] disgusted [IMPLY] sensible [PERIOD]
disgusted [AND] nervous [AND] frightened [IMPLY] uptight [PERIOD]
lonely [IMPLY] loving [PERIOD]
nervous [IMPLY] mysterious [PERIOD]
outrageous [AND] sincere [IMPLY] reserved [PERIOD]
quaint [AND] wide-eyed [IMPLY] plain [PERIOD]
old-fashioned [IMPLY] lonely [PERIOD]
old-fashioned [AND] quaint [IMPLY] different [PERIOD]
jittery [IMPLY] vivacious [PERIOD]
wide-eyed [AND] lonely [IMPLY] different [PERIOD]
lonely [AND] quaint [AND] outrageous [IMPLY] reserved [PERIOD]
weary [AND] plain [AND] quaint [IMPLY] helpful [PERIOD]
outrageous [AND] loving [IMPLY] plain [PERIOD]
nervous [AND] quaint [AND] shy [IMPLY] rude [PERIOD]
exuberant [AND] mysterious [AND] frantic [IMPLY] sensible [PERIOD]
lonely [AND] quaint [AND] sensible [IMPLY] helpful [PERIOD]
polite [AND] uptight [IMPLY] old-fashioned [PERIOD]
mysterious [AND] tense [IMPLY] weary [PERIOD]
rude [IMPLY] nervous [PERIOD]
jittery [AND] loving [AND] polite [IMPLY] rude [PERIOD]
shy [IMPLY] outrageous [PERIOD]
nervous [AND] shy [IMPLY] outrageous [PERIOD]
nervous [IMPLY] old-fashioned [PERIOD]
reserved [AND] plain [IMPLY] uptight [PERIOD]
weary [IMPLY] jittery [PERIOD]
weary [AND] reserved [AND] frightened [IMPLY] jittery [PERIOD]
weary [AND] different [IMPLY] frightened [PERIOD]
different [AND] outrageous [AND] frantic [IMPLY] polite [PERIOD]
wide-eyed [AND] different [IMPLY] frightened [PERIOD]
uptight [AND] frantic [AND] wide-eyed [IMPLY] vivacious [PERIOD]
Query: Alice is disgusted [PERIOD]","Proof chain:
   No rule concludes “disgusted.”
",0,1
"Facts:  Alice is easy [PERIOD] Alice is old-fashioned [PERIOD] Alice is calm [PERIOD]
Rules:
mysterious [IMPLY] precious [PERIOD]
easy [AND] intellectual [IMPLY] bossy [PERIOD]
lucky [AND] polite [AND] bossy [IMPLY] easy [PERIOD]
condemned [AND] dull [AND] blushing [IMPLY] jittery [PERIOD]
calm [AND] jittery [AND] elegant [IMPLY] bossy [PERIOD]
helpful [AND] cooperative [AND] thoughtful [IMPLY] elegant [PERIOD]
old-fashioned [IMPLY] intellectual [PERIOD]
jittery [AND] exuberant [IMPLY] dull [PERIOD]
thoughtful [AND] calm [IMPLY] dull [PERIOD]
intellectual [AND] jittery [AND] elegant [IMPLY] fragile [PERIOD]
old-fashioned [AND] quaint [AND] fragile [IMPLY] condemned [PERIOD]
calm [IMPLY] elegant [PERIOD]
dull [AND] anxious [IMPLY] amused [PERIOD]
dull [AND] intellectual [AND] blushing [IMPLY] quaint [PERIOD]
blushing [AND] helpful [IMPLY] old-fashioned [PERIOD]
anxious [AND] exuberant [AND] old-fashioned [IMPLY] calm [PERIOD]
quaint [AND] blushing [IMPLY] impatient [PERIOD]
charming [AND] lucky [AND] exuberant [IMPLY] jittery [PERIOD]
calm [AND] polite [AND] charming [IMPLY] blushing [PERIOD]
cooperative [IMPLY] elegant [PERIOD]
helpful [IMPLY] bossy [PERIOD]
thoughtful [AND] helpful [IMPLY] precious [PERIOD]
quaint [IMPLY] cooperative [PERIOD]
polite [AND] quaint [IMPLY] mysterious [PERIOD]
supportive [AND] anxious [IMPLY] lucky [PERIOD]
thoughtful [AND] elegant [AND] anxious [IMPLY] bossy [PERIOD]
cooperative [AND] amused [IMPLY] uptight [PERIOD]
mysterious [AND] polite [AND] helpful [IMPLY] uptight [PERIOD]
old-fashioned [IMPLY] helpful [PERIOD]
mysterious [AND] calm [AND] elegant [IMPLY] uptight [PERIOD]
easy [IMPLY] lucky [PERIOD]
old-fashioned [AND] mysterious [AND] blushing [IMPLY] polite [PERIOD]
charming [AND] condemned [AND] blushing [IMPLY] broad-minded [PERIOD]
quaint [AND] cooperative [AND] lucky [IMPLY] calm [PERIOD]
bossy [IMPLY] anxious [PERIOD]
exuberant [AND] intellectual [IMPLY] old-fashioned [PERIOD]
supportive [AND] quaint [IMPLY] charming [PERIOD]
mysterious [IMPLY] thoughtful [PERIOD]
fragile [IMPLY] amused [PERIOD]
elegant [IMPLY] charming [PERIOD]
broad-minded [AND] easy [AND] bossy [IMPLY] jittery [PERIOD]
mysterious [AND] dull [AND] elegant [IMPLY] blushing [PERIOD]
old-fashioned [IMPLY] elegant [PERIOD]
elegant [AND] easy [AND] lucky [IMPLY] mysterious [PERIOD]
polite [AND] supportive [AND] old-fashioned [IMPLY] lucky [PERIOD]
helpful [AND] exuberant [AND] uptight [IMPLY] mysterious [PERIOD]
charming [AND] blushing [AND] uptight [IMPLY] precious [PERIOD]
impatient [IMPLY] cooperative [PERIOD]
calm [IMPLY] helpful [PERIOD]
condemned [IMPLY] intellectual [PERIOD]
bossy [AND] supportive [IMPLY] polite [PERIOD]
thoughtful [IMPLY] precious [PERIOD]
thoughtful [AND] exuberant [IMPLY] quaint [PERIOD]
uptight [AND] anxious [AND] broad-minded [IMPLY] helpful [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
   calm ⇒ elegant
   easy ⇒ lucky
   elegant ∧ easy ∧ lucky ⇒ mysterious
   mysterious ⇒ precious
",1,4
"Facts:  Alice is adorable [PERIOD] Alice is impartial [PERIOD] Alice is embarrassed [PERIOD] Alice is worrisome [PERIOD]
Rules:
average [IMPLY] straightforward [PERIOD]
grumpy [IMPLY] sleepy [PERIOD]
friendly [AND] embarrassed [IMPLY] exuberant [PERIOD]
sleepy [IMPLY] outrageous [PERIOD]
spotless [AND] worrisome [AND] lonely [IMPLY] ambitious [PERIOD]
friendly [AND] supportive [AND] helpless [IMPLY] outrageous [PERIOD]
embarrassed [IMPLY] friendly [PERIOD]
blushing [AND] reserved [AND] impartial [IMPLY] ambitious [PERIOD]
reserved [AND] worrisome [IMPLY] outrageous [PERIOD]
sleepy [AND] spotless [IMPLY] friendly [PERIOD]
blushing [AND] tidy [AND] exuberant [IMPLY] outrageous [PERIOD]
dishonest [AND] grumpy [IMPLY] impartial [PERIOD]
adorable [AND] worrisome [IMPLY] quaint [PERIOD]
quaint [IMPLY] grumpy [PERIOD]
lonely [AND] grumpy [IMPLY] straightforward [PERIOD]
tidy [IMPLY] impartial [PERIOD]
embarrassed [AND] reserved [AND] adorable [IMPLY] clean [PERIOD]
adorable [AND] helpless [AND] reserved [IMPLY] lonely [PERIOD]
outrageous [AND] blushing [AND] lonely [IMPLY] grumpy [PERIOD]
spotless [AND] tidy [AND] clean [IMPLY] adorable [PERIOD]
friendly [AND] outrageous [AND] grumpy [IMPLY] quaint [PERIOD]
supportive [AND] helpless [IMPLY] impartial [PERIOD]
clean [AND] perfect [IMPLY] adorable [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is bossy [PERIOD] Alice is ugliest [PERIOD] Alice is disobedient [PERIOD] Alice is hilarious [PERIOD]
Rules:
impatient [AND] powerful [AND] lucky [IMPLY] disobedient [PERIOD]
ugliest [AND] confident [AND] attractive [IMPLY] blushing [PERIOD]
blushing [AND] hilarious [AND] inexpensive [IMPLY] innocent [PERIOD]
wandering [IMPLY] ugliest [PERIOD]
ugliest [AND] innocent [IMPLY] powerful [PERIOD]
impatient [AND] innocent [IMPLY] attractive [PERIOD]
attractive [IMPLY] innocent [PERIOD]
blushing [AND] disobedient [AND] attractive [IMPLY] beautiful [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   No rule concludes “bad-tempered.”
",0,1
"Facts:  Alice is attractive [PERIOD] Alice is supportive [PERIOD]
Rules:
frightened [AND] sleepy [AND] supportive [IMPLY] attractive [PERIOD]
bright [AND] sleepy [AND] supportive [IMPLY] attractive [PERIOD]
bright [AND] attractive [IMPLY] sleepy [PERIOD]
sleepy [AND] attractive [IMPLY] frightened [PERIOD]
bright [AND] supportive [AND] sleepy [IMPLY] frightened [PERIOD]
bright [AND] attractive [AND] frightened [IMPLY] supportive [PERIOD]
bright [AND] supportive [IMPLY] attractive [PERIOD]
supportive [IMPLY] attractive [PERIOD]
attractive [AND] supportive [IMPLY] sleepy [PERIOD]
supportive [AND] frightened [IMPLY] attractive [PERIOD]
attractive [IMPLY] supportive [PERIOD]
supportive [IMPLY] frightened [PERIOD]
attractive [AND] bright [AND] sleepy [IMPLY] frightened [PERIOD]
sleepy [AND] supportive [AND] frightened [IMPLY] bright [PERIOD]
sleepy [AND] frightened [AND] bright [IMPLY] attractive [PERIOD]
sleepy [AND] frightened [AND] bright [IMPLY] supportive [PERIOD]
attractive [IMPLY] sleepy [PERIOD]
attractive [AND] frightened [AND] bright [IMPLY] sleepy [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   attractive ⇒ sleepy
   supportive ⇒ frightened
   sleepy ∧ supportive ∧ frightened ⇒ bright
",1,3
"Facts:  Alice is gorgeous [PERIOD] Alice is clean [PERIOD] Alice is serious [PERIOD] Alice is mysterious [PERIOD] Alice is tense [PERIOD]
Rules:
serious [AND] frantic [AND] bossy [IMPLY] busy [PERIOD]
busy [AND] gorgeous [AND] clean [IMPLY] grumpy [PERIOD]
clean [IMPLY] busy [PERIOD]
tense [AND] grumpy [AND] frantic [IMPLY] embarrassed [PERIOD]
busy [AND] grumpy [AND] embarrassed [IMPLY] lucky [PERIOD]
lucky [AND] clean [IMPLY] impartial [PERIOD]
gorgeous [IMPLY] diplomatic [PERIOD]
stubborn [IMPLY] clean [PERIOD]
serious [AND] stubborn [IMPLY] gleaming [PERIOD]
lucky [AND] bossy [IMPLY] serious [PERIOD]
busy [IMPLY] embarrassed [PERIOD]
bossy [IMPLY] tense [PERIOD]
serious [IMPLY] busy [PERIOD]
bossy [AND] grumpy [AND] impartial [IMPLY] serious [PERIOD]
grumpy [AND] impartial [AND] frantic [IMPLY] tense [PERIOD]
gleaming [IMPLY] busy [PERIOD]
gleaming [AND] busy [AND] lucky [IMPLY] serious [PERIOD]
busy [IMPLY] stubborn [PERIOD]
impartial [AND] diplomatic [IMPLY] cooperative [PERIOD]
impartial [AND] serious [AND] cooperative [IMPLY] bossy [PERIOD]
tense [AND] stubborn [AND] mysterious [IMPLY] bossy [PERIOD]
bossy [AND] impartial [IMPLY] busy [PERIOD]
tense [AND] gorgeous [AND] impartial [IMPLY] bossy [PERIOD]
tense [AND] stubborn [AND] embarrassed [IMPLY] gorgeous [PERIOD]
lucky [AND] gleaming [AND] grumpy [IMPLY] serious [PERIOD]
cooperative [AND] frantic [AND] impartial [IMPLY] clean [PERIOD]
diplomatic [IMPLY] mysterious [PERIOD]
stubborn [AND] mysterious [IMPLY] diplomatic [PERIOD]
tense [IMPLY] busy [PERIOD]
bossy [IMPLY] grumpy [PERIOD]
gorgeous [IMPLY] gleaming [PERIOD]
tense [AND] clean [AND] serious [IMPLY] gleaming [PERIOD]
tense [AND] bossy [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] tense [PERIOD]
gorgeous [AND] diplomatic [IMPLY] clean [PERIOD]
gleaming [IMPLY] gorgeous [PERIOD]
serious [AND] tense [IMPLY] bossy [PERIOD]
serious [AND] diplomatic [IMPLY] tense [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   clean ⇒ busy
   busy ⇒ stubborn
",1,2
"Facts:  Alice is homely [PERIOD]
Rules:
sleepy [AND] excited [AND] calm [IMPLY] homely [PERIOD]
cute [AND] amused [IMPLY] impatient [PERIOD]
excited [IMPLY] cute [PERIOD]
hypocritical [IMPLY] impatient [PERIOD]
tense [AND] cute [IMPLY] confused [PERIOD]
calm [AND] helpful [AND] elated [IMPLY] condemned [PERIOD]
condemned [AND] impatient [IMPLY] rational [PERIOD]
disgusted [AND] sleepy [AND] cute [IMPLY] plain [PERIOD]
rational [IMPLY] selfish [PERIOD]
excited [IMPLY] gleaming [PERIOD]
combative [IMPLY] anxious [PERIOD]
ugliest [IMPLY] confident [PERIOD]
cute [AND] tender [IMPLY] sleepy [PERIOD]
confused [AND] sleepy [IMPLY] helpful [PERIOD]
condemned [IMPLY] confident [PERIOD]
tender [IMPLY] sleepy [PERIOD]
sleepy [AND] selfish [IMPLY] disgusted [PERIOD]
excited [AND] plain [AND] calm [IMPLY] gleaming [PERIOD]
horrible [AND] amused [IMPLY] anxious [PERIOD]
combative [IMPLY] confused [PERIOD]
tense [AND] rational [IMPLY] sleepy [PERIOD]
anxious [AND] confused [IMPLY] sleepy [PERIOD]
tender [IMPLY] cute [PERIOD]
calm [IMPLY] gleaming [PERIOD]
confident [AND] cute [IMPLY] anxious [PERIOD]
gleaming [AND] amused [IMPLY] elated [PERIOD]
cute [IMPLY] anxious [PERIOD]
plain [IMPLY] impatient [PERIOD]
gleaming [AND] ugliest [AND] impatient [IMPLY] gorgeous [PERIOD]
helpful [AND] tender [AND] gleaming [IMPLY] plain [PERIOD]
plain [IMPLY] confident [PERIOD]
homely [IMPLY] gleaming [PERIOD]
condemned [AND] impatient [IMPLY] selfish [PERIOD]
sleepy [AND] ugliest [AND] plain [IMPLY] confident [PERIOD]
excited [AND] elated [IMPLY] gleaming [PERIOD]
disgusted [AND] combative [AND] amused [IMPLY] anxious [PERIOD]
cute [IMPLY] combative [PERIOD]
sleepy [AND] anxious [AND] cute [IMPLY] rational [PERIOD]
disgusted [AND] confused [IMPLY] selfish [PERIOD]
calm [AND] impatient [AND] excited [IMPLY] gorgeous [PERIOD]
excited [IMPLY] hypocritical [PERIOD]
condemned [IMPLY] anxious [PERIOD]
sleepy [AND] gorgeous [AND] impatient [IMPLY] confident [PERIOD]
anxious [AND] excited [AND] disgusted [IMPLY] tender [PERIOD]
helpful [AND] plain [AND] ugliest [IMPLY] tender [PERIOD]
calm [IMPLY] tense [PERIOD]
plain [AND] homely [AND] horrible [IMPLY] excited [PERIOD]
ugliest [AND] selfish [IMPLY] hypocritical [PERIOD]
homely [AND] calm [AND] plain [IMPLY] tense [PERIOD]
helpful [AND] sleepy [IMPLY] cute [PERIOD]
horrible [AND] cute [IMPLY] plain [PERIOD]
helpful [IMPLY] gleaming [PERIOD]
horrible [IMPLY] calm [PERIOD]
excited [AND] hypocritical [AND] helpful [IMPLY] plain [PERIOD]
confident [AND] homely [AND] cute [IMPLY] horrible [PERIOD]
cute [AND] confused [IMPLY] excited [PERIOD]
cute [AND] gorgeous [AND] combative [IMPLY] calm [PERIOD]
combative [AND] sleepy [AND] elated [IMPLY] amused [PERIOD]
excited [AND] selfish [AND] ugliest [IMPLY] plain [PERIOD]
homely [IMPLY] horrible [PERIOD]
disgusted [IMPLY] combative [PERIOD]
calm [AND] cute [IMPLY] gorgeous [PERIOD]
confident [IMPLY] impatient [PERIOD]
anxious [AND] selfish [IMPLY] sleepy [PERIOD]
selfish [IMPLY] helpful [PERIOD]
Query: Alice is confident [PERIOD]","Proof chain:
   Cannot apply rule “ugliest ⇒ confident” because missing: ugliest.
   Cannot apply rule “condemned ⇒ confident” because missing: condemned.
   Cannot apply rule “plain ⇒ confident” because missing: plain.
   Cannot apply rule “sleepy ∧ ugliest ∧ plain ⇒ confident” because missing: sleepy, ugliest, plain.
   Cannot apply rule “sleepy ∧ gorgeous ∧ impatient ⇒ confident” because missing: sleepy, gorgeous, impatient.
",0,5
"Facts:  Alice is hilarious [PERIOD] Alice is clumsy [PERIOD]
Rules:
alert [AND] fearless [AND] frightened [IMPLY] agreeable [PERIOD]
hilarious [IMPLY] bad-tempered [PERIOD]
grumpy [AND] busy [IMPLY] innocent [PERIOD]
frightened [AND] calm [IMPLY] busy [PERIOD]
worrisome [AND] clumsy [IMPLY] grumpy [PERIOD]
ugliest [AND] grumpy [AND] clumsy [IMPLY] busy [PERIOD]
agreeable [AND] alert [IMPLY] busy [PERIOD]
calm [IMPLY] hilarious [PERIOD]
frightened [AND] busy [IMPLY] bad-tempered [PERIOD]
hilarious [AND] alert [IMPLY] sleepy [PERIOD]
grumpy [AND] difficult [AND] sleepy [IMPLY] clumsy [PERIOD]
alert [IMPLY] ugliest [PERIOD]
calm [AND] busy [AND] bad-tempered [IMPLY] worrisome [PERIOD]
grumpy [AND] hilarious [IMPLY] clumsy [PERIOD]
frightened [AND] calm [IMPLY] difficult [PERIOD]
frightened [AND] bad-tempered [IMPLY] clumsy [PERIOD]
bad-tempered [AND] busy [AND] fearless [IMPLY] agreeable [PERIOD]
fearless [AND] grumpy [AND] sleepy [IMPLY] innocent [PERIOD]
hilarious [IMPLY] grumpy [PERIOD]
busy [AND] alert [IMPLY] calm [PERIOD]
frightened [AND] agreeable [AND] thoughtless [IMPLY] alert [PERIOD]
clumsy [IMPLY] alert [PERIOD]
thoughtless [IMPLY] busy [PERIOD]
innocent [AND] sleepy [AND] fearless [IMPLY] clumsy [PERIOD]
sleepy [IMPLY] innocent [PERIOD]
thoughtless [AND] frightened [AND] calm [IMPLY] worrisome [PERIOD]
hilarious [AND] clumsy [IMPLY] ugliest [PERIOD]
alert [AND] bad-tempered [AND] difficult [IMPLY] thoughtless [PERIOD]
grumpy [AND] alert [AND] thoughtless [IMPLY] ugliest [PERIOD]
innocent [AND] calm [AND] fearless [IMPLY] grumpy [PERIOD]
sleepy [AND] hilarious [AND] clumsy [IMPLY] fearless [PERIOD]
thoughtless [AND] fearless [AND] innocent [IMPLY] frightened [PERIOD]
busy [AND] agreeable [AND] grumpy [IMPLY] bad-tempered [PERIOD]
grumpy [AND] bad-tempered [IMPLY] calm [PERIOD]
ugliest [AND] sleepy [IMPLY] difficult [PERIOD]
busy [IMPLY] agreeable [PERIOD]
bad-tempered [AND] alert [IMPLY] ugliest [PERIOD]
busy [AND] agreeable [IMPLY] frightened [PERIOD]
sleepy [AND] worrisome [IMPLY] frightened [PERIOD]
innocent [AND] ugliest [IMPLY] agreeable [PERIOD]
bad-tempered [IMPLY] worrisome [PERIOD]
alert [AND] bad-tempered [IMPLY] sleepy [PERIOD]
ugliest [IMPLY] fearless [PERIOD]
alert [AND] calm [AND] bad-tempered [IMPLY] thoughtless [PERIOD]
grumpy [AND] fearless [IMPLY] clumsy [PERIOD]
sleepy [IMPLY] ugliest [PERIOD]
frightened [AND] innocent [AND] sleepy [IMPLY] agreeable [PERIOD]
busy [AND] ugliest [IMPLY] hilarious [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
   hilarious ∧ clumsy ⇒ ugliest
   hilarious ⇒ grumpy
   ugliest ∧ grumpy ∧ clumsy ⇒ busy
",1,3
"Facts: 
Rules:
difficult [IMPLY] different [PERIOD]
grumpy [AND] shy [IMPLY] gifted [PERIOD]
thoughtless [AND] difficult [AND] unpleasant [IMPLY] calm [PERIOD]
calm [AND] serious [AND] easy [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] alert [PERIOD]
frantic [AND] hypocritical [AND] calm [IMPLY] different [PERIOD]
frantic [AND] difficult [IMPLY] hypocritical [PERIOD]
thoughtless [IMPLY] grumpy [PERIOD]
broad-minded [AND] grumpy [IMPLY] gifted [PERIOD]
thoughtless [AND] serious [IMPLY] different [PERIOD]
hypocritical [AND] different [AND] serious [IMPLY] polite [PERIOD]
calm [AND] different [AND] horrible [IMPLY] unpleasant [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   Cannot apply rule “difficult ⇒ different” because missing: difficult.
   Cannot apply rule “frantic ∧ hypocritical ∧ calm ⇒ different” because missing: frantic, hypocritical, calm.
   Cannot apply rule “thoughtless ∧ serious ⇒ different” because missing: thoughtless, serious.
",0,3
"Facts: 
Rules:
careless [AND] combative [AND] cute [IMPLY] different [PERIOD]
combative [AND] different [AND] agreeable [IMPLY] careless [PERIOD]
proud [IMPLY] different [PERIOD]
careless [AND] different [AND] combative [IMPLY] proud [PERIOD]
cute [AND] different [AND] combative [IMPLY] proud [PERIOD]
agreeable [AND] different [IMPLY] stormy [PERIOD]
stormy [IMPLY] cute [PERIOD]
cute [AND] agreeable [IMPLY] careless [PERIOD]
proud [AND] different [IMPLY] cute [PERIOD]
cute [IMPLY] stormy [PERIOD]
proud [IMPLY] careless [PERIOD]
agreeable [IMPLY] cute [PERIOD]
agreeable [AND] careless [IMPLY] stormy [PERIOD]
proud [AND] cute [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] stormy [PERIOD]
Query: Alice is proud [PERIOD]","Proof chain:
   Cannot apply rule “careless ∧ different ∧ combative ⇒ proud” because missing: careless, different, combative.
   Cannot apply rule “cute ∧ different ∧ combative ⇒ proud” because missing: cute, different, combative.
",0,2
"Facts:  Alice is stubborn [PERIOD] Alice is modern [PERIOD] Alice is agreeable [PERIOD] Alice is inexpensive [PERIOD] Alice is diplomatic [PERIOD]
Rules:
tense [AND] ugly [AND] agreeable [IMPLY] long [PERIOD]
aggressive [AND] inexpensive [AND] gorgeous [IMPLY] long [PERIOD]
busy [IMPLY] plain [PERIOD]
agreeable [AND] gorgeous [AND] shy [IMPLY] inexpensive [PERIOD]
stubborn [IMPLY] hilarious [PERIOD]
gorgeous [IMPLY] long [PERIOD]
aggressive [AND] busy [AND] stubborn [IMPLY] diplomatic [PERIOD]
long [AND] inexpensive [AND] modern [IMPLY] ugly [PERIOD]
gorgeous [IMPLY] agreeable [PERIOD]
victorious [AND] hilarious [AND] modern [IMPLY] agreeable [PERIOD]
victorious [AND] shy [IMPLY] diplomatic [PERIOD]
plain [AND] careless [IMPLY] gorgeous [PERIOD]
shy [AND] long [AND] diplomatic [IMPLY] gorgeous [PERIOD]
careless [AND] victorious [AND] busy [IMPLY] stubborn [PERIOD]
careless [IMPLY] diplomatic [PERIOD]
agreeable [AND] careless [AND] diplomatic [IMPLY] gorgeous [PERIOD]
victorious [IMPLY] inexpensive [PERIOD]
long [IMPLY] hilarious [PERIOD]
gorgeous [AND] tense [IMPLY] diplomatic [PERIOD]
long [AND] gorgeous [IMPLY] shy [PERIOD]
aggressive [AND] busy [AND] victorious [IMPLY] diplomatic [PERIOD]
hilarious [IMPLY] inexpensive [PERIOD]
inexpensive [AND] hilarious [AND] agreeable [IMPLY] plain [PERIOD]
ugly [IMPLY] shy [PERIOD]
shy [AND] inexpensive [IMPLY] long [PERIOD]
inexpensive [IMPLY] agreeable [PERIOD]
ugly [AND] inexpensive [AND] diplomatic [IMPLY] plain [PERIOD]
agreeable [AND] busy [AND] clumsy [IMPLY] diplomatic [PERIOD]
modern [AND] shy [IMPLY] busy [PERIOD]
diplomatic [AND] gorgeous [AND] hilarious [IMPLY] modern [PERIOD]
hilarious [AND] plain [IMPLY] aggressive [PERIOD]
plain [AND] aggressive [AND] clumsy [IMPLY] victorious [PERIOD]
tense [AND] ugly [AND] aggressive [IMPLY] long [PERIOD]
clumsy [IMPLY] diplomatic [PERIOD]
plain [IMPLY] clumsy [PERIOD]
careless [AND] stubborn [AND] long [IMPLY] victorious [PERIOD]
busy [AND] plain [AND] long [IMPLY] ugly [PERIOD]
busy [IMPLY] careless [PERIOD]
agreeable [IMPLY] plain [PERIOD]
victorious [AND] plain [AND] agreeable [IMPLY] shy [PERIOD]
busy [IMPLY] inexpensive [PERIOD]
careless [IMPLY] aggressive [PERIOD]
stubborn [AND] victorious [AND] plain [IMPLY] long [PERIOD]
clumsy [AND] shy [AND] ugly [IMPLY] agreeable [PERIOD]
victorious [AND] hilarious [AND] agreeable [IMPLY] clumsy [PERIOD]
gorgeous [IMPLY] shy [PERIOD]
stubborn [AND] ugly [IMPLY] aggressive [PERIOD]
modern [AND] agreeable [AND] diplomatic [IMPLY] gorgeous [PERIOD]
victorious [IMPLY] tense [PERIOD]
plain [AND] careless [AND] agreeable [IMPLY] modern [PERIOD]
inexpensive [IMPLY] stubborn [PERIOD]
ugly [AND] diplomatic [AND] long [IMPLY] tense [PERIOD]
busy [AND] careless [AND] agreeable [IMPLY] modern [PERIOD]
hilarious [AND] modern [AND] tense [IMPLY] agreeable [PERIOD]
clumsy [AND] busy [AND] careless [IMPLY] inexpensive [PERIOD]
stubborn [AND] busy [IMPLY] shy [PERIOD]
agreeable [AND] stubborn [IMPLY] inexpensive [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   agreeable ⇒ plain
   stubborn ⇒ hilarious
   agreeable ⇒ plain
   hilarious ∧ plain ⇒ aggressive
   agreeable ⇒ plain
   plain ⇒ clumsy
   plain ∧ aggressive ∧ clumsy ⇒ victorious
",1,7
"Facts: 
Rules:
comfortable [IMPLY] thoughtful [PERIOD]
witty [IMPLY] good [PERIOD]
thoughtful [IMPLY] fancy [PERIOD]
good [AND] thoughtful [AND] homely [IMPLY] comfortable [PERIOD]
sleepy [AND] fancy [IMPLY] comfortable [PERIOD]
crowded [AND] good [IMPLY] witty [PERIOD]
crowded [AND] sleepy [IMPLY] good [PERIOD]
curious [AND] fancy [AND] crowded [IMPLY] witty [PERIOD]
witty [IMPLY] crowded [PERIOD]
good [AND] sleepy [AND] crowded [IMPLY] pleasant [PERIOD]
crowded [AND] fancy [AND] stormy [IMPLY] good [PERIOD]
witty [AND] good [IMPLY] sleepy [PERIOD]
thoughtful [AND] pleasant [IMPLY] stormy [PERIOD]
sleepy [AND] thoughtful [IMPLY] witty [PERIOD]
crowded [AND] good [AND] curious [IMPLY] sleepy [PERIOD]
curious [AND] witty [AND] thoughtful [IMPLY] comfortable [PERIOD]
fancy [AND] sleepy [AND] comfortable [IMPLY] witty [PERIOD]
pleasant [AND] thoughtful [AND] crowded [IMPLY] witty [PERIOD]
pleasant [IMPLY] sleepy [PERIOD]
pleasant [AND] witty [IMPLY] fancy [PERIOD]
pleasant [AND] stormy [IMPLY] witty [PERIOD]
pleasant [IMPLY] stormy [PERIOD]
stormy [IMPLY] thoughtful [PERIOD]
curious [AND] pleasant [IMPLY] thoughtful [PERIOD]
sleepy [IMPLY] comfortable [PERIOD]
fancy [IMPLY] sleepy [PERIOD]
thoughtful [IMPLY] good [PERIOD]
good [AND] fancy [AND] homely [IMPLY] sleepy [PERIOD]
thoughtful [IMPLY] comfortable [PERIOD]
pleasant [AND] homely [IMPLY] stormy [PERIOD]
good [AND] fancy [IMPLY] curious [PERIOD]
witty [AND] crowded [IMPLY] homely [PERIOD]
stormy [IMPLY] homely [PERIOD]
comfortable [IMPLY] homely [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   Cannot apply rule “thoughtful ∧ pleasant ⇒ stormy” because missing: thoughtful, pleasant.
   Cannot apply rule “pleasant ⇒ stormy” because missing: pleasant.
   Cannot apply rule “pleasant ∧ homely ⇒ stormy” because missing: pleasant, homely.
",0,3
"Facts:  Alice is busy [PERIOD] Alice is zealous [PERIOD] Alice is diplomatic [PERIOD] Alice is perfect [PERIOD] Alice is cute [PERIOD] Alice is sincere [PERIOD]
Rules:
troubled [AND] gifted [IMPLY] blushing [PERIOD]
attentive [IMPLY] busy [PERIOD]
embarrassed [IMPLY] clean [PERIOD]
confident [AND] diplomatic [IMPLY] gifted [PERIOD]
embarrassed [IMPLY] attentive [PERIOD]
confident [IMPLY] attentive [PERIOD]
intellectual [IMPLY] gifted [PERIOD]
zealous [AND] glamorous [AND] troubled [IMPLY] perfect [PERIOD]
embarrassed [AND] zealous [IMPLY] cute [PERIOD]
shiny [IMPLY] confident [PERIOD]
attentive [AND] confident [AND] jittery [IMPLY] zealous [PERIOD]
long [AND] attentive [IMPLY] clean [PERIOD]
diplomatic [AND] intellectual [IMPLY] shiny [PERIOD]
intellectual [IMPLY] confident [PERIOD]
troubled [IMPLY] busy [PERIOD]
attentive [AND] confident [AND] intellectual [IMPLY] jittery [PERIOD]
jittery [AND] glamorous [AND] cute [IMPLY] gifted [PERIOD]
attentive [AND] zealous [IMPLY] shiny [PERIOD]
shiny [AND] jittery [AND] attentive [IMPLY] sincere [PERIOD]
diplomatic [AND] intellectual [IMPLY] gifted [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   Cannot apply rule “embarrassed ⇒ clean” because missing: embarrassed.
   Cannot apply rule “long ∧ attentive ⇒ clean” because missing: long, attentive.
",0,2
"Facts:  Alice is tidy [PERIOD]
Rules:
aggressive [IMPLY] inquisitive [PERIOD]
beautiful [AND] pleasant [IMPLY] diplomatic [PERIOD]
mysterious [AND] serious [AND] adorable [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] inquisitive [PERIOD]
beautiful [AND] weary [IMPLY] worrisome [PERIOD]
inquisitive [AND] adorable [AND] beautiful [IMPLY] victorious [PERIOD]
beautiful [AND] aggressive [AND] worrisome [IMPLY] tired [PERIOD]
grumpy [AND] aggressive [AND] cute [IMPLY] inquisitive [PERIOD]
inquisitive [AND] wrong [IMPLY] bossy [PERIOD]
tired [AND] adorable [IMPLY] weary [PERIOD]
adorable [IMPLY] cute [PERIOD]
grumpy [IMPLY] pleasant [PERIOD]
beautiful [AND] adorable [IMPLY] worrisome [PERIOD]
crowded [AND] pleasant [IMPLY] mysterious [PERIOD]
inquisitive [AND] crowded [IMPLY] cute [PERIOD]
victorious [AND] weary [AND] tidy [IMPLY] worrisome [PERIOD]
adorable [AND] wrong [IMPLY] weary [PERIOD]
wrong [AND] inquisitive [AND] serious [IMPLY] aggressive [PERIOD]
bossy [IMPLY] weary [PERIOD]
serious [AND] weary [AND] bossy [IMPLY] tidy [PERIOD]
mysterious [IMPLY] bossy [PERIOD]
pleasant [AND] impartial [AND] tired [IMPLY] innocent [PERIOD]
innocent [IMPLY] weary [PERIOD]
aggressive [IMPLY] ambitious [PERIOD]
crowded [AND] adorable [AND] aggressive [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] grumpy [PERIOD]
worrisome [AND] weary [AND] inquisitive [IMPLY] ambitious [PERIOD]
weary [AND] aggressive [AND] tidy [IMPLY] bossy [PERIOD]
grumpy [AND] inquisitive [AND] impartial [IMPLY] innocent [PERIOD]
adorable [AND] grumpy [IMPLY] cute [PERIOD]
innocent [IMPLY] pleasant [PERIOD]
diplomatic [IMPLY] cute [PERIOD]
inquisitive [AND] tidy [AND] aggressive [IMPLY] diplomatic [PERIOD]
impartial [IMPLY] ambitious [PERIOD]
victorious [IMPLY] bossy [PERIOD]
tired [AND] aggressive [AND] bossy [IMPLY] victorious [PERIOD]
adorable [AND] mysterious [AND] diplomatic [IMPLY] impartial [PERIOD]
worrisome [IMPLY] inquisitive [PERIOD]
bossy [AND] grumpy [IMPLY] inquisitive [PERIOD]
pleasant [IMPLY] tired [PERIOD]
beautiful [AND] adorable [AND] serious [IMPLY] wrong [PERIOD]
beautiful [IMPLY] impartial [PERIOD]
victorious [AND] crowded [AND] weary [IMPLY] tired [PERIOD]
mysterious [AND] ambitious [IMPLY] wrong [PERIOD]
aggressive [IMPLY] beautiful [PERIOD]
adorable [AND] wrong [AND] tired [IMPLY] impartial [PERIOD]
pleasant [AND] bossy [IMPLY] mysterious [PERIOD]
adorable [AND] bossy [IMPLY] grumpy [PERIOD]
mysterious [AND] victorious [IMPLY] crowded [PERIOD]
mysterious [IMPLY] victorious [PERIOD]
grumpy [AND] impartial [AND] tidy [IMPLY] ambitious [PERIOD]
worrisome [IMPLY] tired [PERIOD]
aggressive [AND] crowded [IMPLY] adorable [PERIOD]
crowded [AND] ambitious [AND] victorious [IMPLY] innocent [PERIOD]
pleasant [IMPLY] mysterious [PERIOD]
innocent [AND] cute [AND] inquisitive [IMPLY] crowded [PERIOD]
tired [AND] aggressive [IMPLY] cute [PERIOD]
crowded [IMPLY] innocent [PERIOD]
victorious [AND] diplomatic [IMPLY] bossy [PERIOD]
impartial [AND] serious [IMPLY] inquisitive [PERIOD]
bossy [IMPLY] innocent [PERIOD]
tired [AND] diplomatic [IMPLY] grumpy [PERIOD]
adorable [AND] diplomatic [IMPLY] pleasant [PERIOD]
Query: Alice is tired [PERIOD]","Proof chain:
   Cannot apply rule “beautiful ∧ aggressive ∧ worrisome ⇒ tired” because missing: beautiful, aggressive, worrisome.
   Cannot apply rule “pleasant ⇒ tired” because missing: pleasant.
   Cannot apply rule “victorious ∧ crowded ∧ weary ⇒ tired” because missing: victorious, crowded, weary.
   Cannot apply rule “worrisome ⇒ tired” because missing: worrisome.
",0,4
"Facts:  Alice is cooperative [PERIOD] Alice is powerful [PERIOD] Alice is condemned [PERIOD] Alice is helpless [PERIOD] Alice is tense [PERIOD] Alice is wrong [PERIOD] Alice is hypocritical [PERIOD] Alice is versatile [PERIOD] Alice is impartial [PERIOD] Alice is wandering [PERIOD] Alice is grumpy [PERIOD]
Rules:
different [AND] courageous [IMPLY] versatile [PERIOD]
grumpy [AND] condemned [IMPLY] inexpensive [PERIOD]
wandering [AND] condemned [IMPLY] powerful [PERIOD]
inexpensive [AND] different [AND] inquisitive [IMPLY] condemned [PERIOD]
fragile [IMPLY] inexpensive [PERIOD]
fearless [AND] condemned [AND] versatile [IMPLY] dishonest [PERIOD]
impartial [IMPLY] fearless [PERIOD]
inquisitive [AND] tidy [IMPLY] impartial [PERIOD]
inquisitive [AND] impartial [AND] inexpensive [IMPLY] cooperative [PERIOD]
wrong [IMPLY] dishonest [PERIOD]
grumpy [AND] dishonest [AND] impartial [IMPLY] fearless [PERIOD]
helpless [AND] wrong [AND] inexpensive [IMPLY] tense [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   grumpy ∧ condemned ⇒ inexpensive
",1,1
"Facts:  Alice is gorgeous [PERIOD] Alice is average [PERIOD] Alice is disgusted [PERIOD] Alice is intellectual [PERIOD] Alice is popular [PERIOD]
Rules:
bad-tempered [AND] spotless [IMPLY] average [PERIOD]
witty [IMPLY] average [PERIOD]
calm [AND] fragile [AND] talkative [IMPLY] bad-tempered [PERIOD]
popular [AND] spotless [IMPLY] calm [PERIOD]
shiny [AND] gorgeous [AND] witty [IMPLY] mean [PERIOD]
fragile [AND] intellectual [AND] mean [IMPLY] talkative [PERIOD]
gorgeous [AND] mean [AND] bad-tempered [IMPLY] spotless [PERIOD]
calm [AND] stupid [AND] bad-tempered [IMPLY] fragile [PERIOD]
shiny [AND] intellectual [IMPLY] popular [PERIOD]
popular [AND] spotless [IMPLY] clumsy [PERIOD]
calm [AND] clumsy [IMPLY] popular [PERIOD]
intellectual [AND] light [AND] ugly [IMPLY] shiny [PERIOD]
bad-tempered [AND] mean [IMPLY] average [PERIOD]
stupid [IMPLY] calm [PERIOD]
spotless [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] mean [AND] calm [IMPLY] shiny [PERIOD]
disgusted [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] ugly [IMPLY] shiny [PERIOD]
light [IMPLY] average [PERIOD]
light [IMPLY] lonely [PERIOD]
shiny [AND] ugly [AND] intellectual [IMPLY] clumsy [PERIOD]
disgusted [IMPLY] gorgeous [PERIOD]
popular [AND] talkative [IMPLY] shiny [PERIOD]
lonely [AND] witty [IMPLY] ugly [PERIOD]
spotless [AND] lonely [AND] shiny [IMPLY] popular [PERIOD]
bad-tempered [AND] clumsy [AND] ugly [IMPLY] spotless [PERIOD]
bad-tempered [AND] average [AND] mean [IMPLY] intellectual [PERIOD]
stupid [AND] gorgeous [AND] shiny [IMPLY] popular [PERIOD]
average [AND] mean [AND] stupid [IMPLY] calm [PERIOD]
disgusted [AND] stupid [IMPLY] light [PERIOD]
light [IMPLY] talkative [PERIOD]
talkative [AND] ugly [IMPLY] gorgeous [PERIOD]
talkative [AND] bad-tempered [IMPLY] intellectual [PERIOD]
average [AND] talkative [IMPLY] witty [PERIOD]
ugly [AND] talkative [IMPLY] light [PERIOD]
stupid [AND] witty [AND] lonely [IMPLY] popular [PERIOD]
intellectual [IMPLY] shiny [PERIOD]
clumsy [AND] mean [AND] stupid [IMPLY] popular [PERIOD]
lonely [IMPLY] witty [PERIOD]
light [AND] average [AND] shiny [IMPLY] disgusted [PERIOD]
witty [IMPLY] lonely [PERIOD]
witty [AND] talkative [IMPLY] stupid [PERIOD]
mean [IMPLY] fragile [PERIOD]
bad-tempered [AND] gorgeous [AND] fragile [IMPLY] clumsy [PERIOD]
talkative [IMPLY] fragile [PERIOD]
gorgeous [IMPLY] average [PERIOD]
average [AND] fragile [IMPLY] witty [PERIOD]
ugly [IMPLY] clumsy [PERIOD]
talkative [IMPLY] spotless [PERIOD]
calm [AND] witty [AND] bad-tempered [IMPLY] gorgeous [PERIOD]
disgusted [AND] average [AND] clumsy [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] intellectual [PERIOD]
lonely [IMPLY] fragile [PERIOD]
talkative [AND] average [IMPLY] fragile [PERIOD]
stupid [AND] lonely [AND] witty [IMPLY] shiny [PERIOD]
stupid [AND] talkative [AND] gorgeous [IMPLY] mean [PERIOD]
calm [IMPLY] stupid [PERIOD]
witty [AND] spotless [IMPLY] calm [PERIOD]
popular [IMPLY] witty [PERIOD]
mean [IMPLY] average [PERIOD]
disgusted [AND] stupid [IMPLY] talkative [PERIOD]
spotless [AND] clumsy [AND] bad-tempered [IMPLY] mean [PERIOD]
fragile [AND] talkative [AND] calm [IMPLY] lonely [PERIOD]
ugly [AND] shiny [AND] fragile [IMPLY] clumsy [PERIOD]
average [AND] ugly [AND] light [IMPLY] fragile [PERIOD]
bad-tempered [IMPLY] stupid [PERIOD]
gorgeous [IMPLY] stupid [PERIOD]
ugly [IMPLY] fragile [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   gorgeous ⇒ stupid
   stupid ⇒ calm
   gorgeous ⇒ stupid
   disgusted ⇒ bad-tempered
   calm ∧ stupid ∧ bad-tempered ⇒ fragile
",1,5
"Facts:  Alice is unpleasant [PERIOD] Alice is vivacious [PERIOD]
Rules:
plain [AND] comfortable [IMPLY] combative [PERIOD]
diplomatic [AND] unpleasant [AND] frantic [IMPLY] plain [PERIOD]
comfortable [IMPLY] vivacious [PERIOD]
diplomatic [IMPLY] vivacious [PERIOD]
muddy [IMPLY] comfortable [PERIOD]
vivacious [IMPLY] diplomatic [PERIOD]
frantic [IMPLY] comfortable [PERIOD]
combative [IMPLY] plain [PERIOD]
frantic [IMPLY] vivacious [PERIOD]
elated [AND] muddy [IMPLY] plain [PERIOD]
combative [IMPLY] comfortable [PERIOD]
diplomatic [IMPLY] combative [PERIOD]
diplomatic [AND] combative [AND] plain [IMPLY] frantic [PERIOD]
diplomatic [AND] muddy [AND] elated [IMPLY] comfortable [PERIOD]
muddy [AND] plain [AND] diplomatic [IMPLY] comfortable [PERIOD]
plain [AND] vivacious [AND] elated [IMPLY] diplomatic [PERIOD]
plain [AND] comfortable [AND] diplomatic [IMPLY] muddy [PERIOD]
frantic [AND] muddy [IMPLY] combative [PERIOD]
unpleasant [AND] plain [IMPLY] frantic [PERIOD]
comfortable [AND] plain [AND] combative [IMPLY] vivacious [PERIOD]
comfortable [AND] frantic [IMPLY] unpleasant [PERIOD]
combative [AND] plain [AND] muddy [IMPLY] diplomatic [PERIOD]
frantic [AND] vivacious [AND] unpleasant [IMPLY] comfortable [PERIOD]
plain [IMPLY] muddy [PERIOD]
unpleasant [AND] frantic [AND] elated [IMPLY] muddy [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   vivacious ⇒ diplomatic
   vivacious ⇒ diplomatic
   diplomatic ⇒ combative
   vivacious ⇒ diplomatic
   diplomatic ⇒ combative
   combative ⇒ plain
   diplomatic ∧ combative ∧ plain ⇒ frantic
",1,7
"Facts:  Alice is proud [PERIOD] Alice is distinct [PERIOD] Alice is popular [PERIOD] Alice is aggressive [PERIOD] Alice is witty [PERIOD] Alice is selfish [PERIOD] Alice is thoughtless [PERIOD] Alice is nervous [PERIOD] Alice is tense [PERIOD] Alice is bright [PERIOD] Alice is perfect [PERIOD] Alice is blushing [PERIOD]
Rules:
sincere [AND] gleaming [IMPLY] busy [PERIOD]
gleaming [IMPLY] wrong [PERIOD]
perfect [IMPLY] aggressive [PERIOD]
sincere [IMPLY] helpful [PERIOD]
nervous [AND] selfish [IMPLY] distinct [PERIOD]
nervous [IMPLY] stubborn [PERIOD]
reserved [IMPLY] busy [PERIOD]
helpless [IMPLY] tense [PERIOD]
aggressive [AND] perfect [IMPLY] selfish [PERIOD]
aggressive [IMPLY] helpful [PERIOD]
witty [IMPLY] wandering [PERIOD]
selfish [AND] gleaming [IMPLY] tense [PERIOD]
wrong [IMPLY] distinct [PERIOD]
stubborn [IMPLY] gleaming [PERIOD]
bright [AND] silly [AND] muddy [IMPLY] witty [PERIOD]
proud [IMPLY] silly [PERIOD]
helpful [IMPLY] impatient [PERIOD]
wandering [AND] helpful [AND] aggressive [IMPLY] gleaming [PERIOD]
sincere [AND] aggressive [IMPLY] nervous [PERIOD]
bright [IMPLY] reserved [PERIOD]
nervous [AND] reserved [AND] aggressive [IMPLY] helpless [PERIOD]
impatient [AND] blushing [AND] distinct [IMPLY] wrong [PERIOD]
crowded [AND] tense [AND] wandering [IMPLY] silly [PERIOD]
wrong [AND] bright [AND] proud [IMPLY] thoughtless [PERIOD]
bright [AND] nervous [IMPLY] impatient [PERIOD]
blushing [IMPLY] thoughtless [PERIOD]
helpless [AND] silly [AND] selfish [IMPLY] impatient [PERIOD]
wandering [IMPLY] selfish [PERIOD]
silly [AND] reserved [AND] thoughtless [IMPLY] proud [PERIOD]
perfect [AND] proud [IMPLY] wandering [PERIOD]
gleaming [IMPLY] tense [PERIOD]
stubborn [AND] thoughtless [AND] bright [IMPLY] busy [PERIOD]
stubborn [IMPLY] wandering [PERIOD]
thoughtless [AND] muddy [IMPLY] aggressive [PERIOD]
silly [IMPLY] blushing [PERIOD]
helpless [AND] reserved [IMPLY] muddy [PERIOD]
crowded [AND] perfect [IMPLY] aggressive [PERIOD]
nervous [IMPLY] bright [PERIOD]
selfish [AND] bright [IMPLY] thoughtless [PERIOD]
crowded [AND] impatient [AND] nervous [IMPLY] busy [PERIOD]
wandering [AND] silly [AND] aggressive [IMPLY] bright [PERIOD]
silly [AND] selfish [AND] helpful [IMPLY] bright [PERIOD]
popular [AND] muddy [AND] helpful [IMPLY] ugly [PERIOD]
stubborn [AND] crowded [AND] tense [IMPLY] nervous [PERIOD]
popular [AND] ugly [AND] crowded [IMPLY] thoughtless [PERIOD]
wandering [AND] reserved [IMPLY] selfish [PERIOD]
proud [AND] distinct [IMPLY] wrong [PERIOD]
reserved [IMPLY] proud [PERIOD]
aggressive [AND] gleaming [IMPLY] stubborn [PERIOD]
selfish [AND] proud [AND] blushing [IMPLY] ugly [PERIOD]
aggressive [AND] silly [IMPLY] helpful [PERIOD]
busy [AND] impatient [AND] proud [IMPLY] ugly [PERIOD]
aggressive [AND] proud [IMPLY] distinct [PERIOD]
wrong [IMPLY] crowded [PERIOD]
stubborn [IMPLY] tense [PERIOD]
tense [IMPLY] crowded [PERIOD]
tense [IMPLY] selfish [PERIOD]
perfect [IMPLY] proud [PERIOD]
popular [AND] proud [AND] perfect [IMPLY] helpful [PERIOD]
silly [AND] aggressive [IMPLY] gleaming [PERIOD]
reserved [IMPLY] aggressive [PERIOD]
tense [AND] wrong [IMPLY] reserved [PERIOD]
selfish [IMPLY] silly [PERIOD]
muddy [AND] busy [AND] impatient [IMPLY] ugly [PERIOD]
tense [AND] perfect [AND] nervous [IMPLY] stubborn [PERIOD]
proud [AND] popular [AND] ugly [IMPLY] helpless [PERIOD]
wandering [AND] sincere [IMPLY] aggressive [PERIOD]
witty [AND] bright [AND] gleaming [IMPLY] helpful [PERIOD]
wrong [IMPLY] busy [PERIOD]
selfish [AND] blushing [AND] bright [IMPLY] silly [PERIOD]
blushing [AND] aggressive [AND] stubborn [IMPLY] witty [PERIOD]
silly [AND] sincere [IMPLY] tense [PERIOD]
silly [AND] helpless [IMPLY] stubborn [PERIOD]
helpless [IMPLY] thoughtless [PERIOD]
helpful [AND] busy [AND] blushing [IMPLY] witty [PERIOD]
tense [AND] helpful [IMPLY] wrong [PERIOD]
perfect [IMPLY] thoughtless [PERIOD]
selfish [IMPLY] thoughtless [PERIOD]
impatient [AND] wandering [AND] perfect [IMPLY] blushing [PERIOD]
tense [AND] bright [AND] wrong [IMPLY] blushing [PERIOD]
reserved [AND] helpful [AND] sincere [IMPLY] impatient [PERIOD]
distinct [AND] sincere [IMPLY] muddy [PERIOD]
sincere [AND] blushing [AND] busy [IMPLY] muddy [PERIOD]
tense [AND] selfish [AND] bright [IMPLY] distinct [PERIOD]
proud [AND] reserved [IMPLY] helpless [PERIOD]
silly [AND] thoughtless [IMPLY] crowded [PERIOD]
proud [AND] selfish [AND] sincere [IMPLY] thoughtless [PERIOD]
distinct [IMPLY] busy [PERIOD]
silly [AND] proud [AND] popular [IMPLY] distinct [PERIOD]
wandering [IMPLY] witty [PERIOD]
selfish [AND] crowded [AND] perfect [IMPLY] reserved [PERIOD]
silly [AND] sincere [IMPLY] impatient [PERIOD]
stubborn [AND] thoughtless [IMPLY] impatient [PERIOD]
aggressive [AND] busy [AND] popular [IMPLY] reserved [PERIOD]
crowded [IMPLY] witty [PERIOD]
muddy [AND] crowded [IMPLY] bright [PERIOD]
nervous [IMPLY] blushing [PERIOD]
blushing [AND] wrong [AND] muddy [IMPLY] sincere [PERIOD]
helpful [AND] nervous [AND] wandering [IMPLY] busy [PERIOD]
silly [AND] aggressive [AND] stubborn [IMPLY] wrong [PERIOD]
helpless [IMPLY] impatient [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is diplomatic [PERIOD] Alice is outstanding [PERIOD] Alice is frightened [PERIOD] Alice is fearless [PERIOD] Alice is shiny [PERIOD] Alice is disobedient [PERIOD] Alice is tired [PERIOD] Alice is confident [PERIOD]
Rules:
straightforward [AND] zealous [AND] friendly [IMPLY] tired [PERIOD]
frightened [AND] victorious [IMPLY] combative [PERIOD]
talented [AND] hypocritical [IMPLY] combative [PERIOD]
talented [IMPLY] tired [PERIOD]
victorious [AND] impatient [IMPLY] pleasant [PERIOD]
impatient [AND] distinct [AND] victorious [IMPLY] tired [PERIOD]
disobedient [AND] impatient [IMPLY] fine [PERIOD]
talented [IMPLY] pleasant [PERIOD]
fine [IMPLY] diplomatic [PERIOD]
clumsy [AND] distinct [AND] fine [IMPLY] fearless [PERIOD]
outstanding [AND] pleasant [IMPLY] different [PERIOD]
disobedient [IMPLY] clumsy [PERIOD]
impatient [IMPLY] zealous [PERIOD]
diplomatic [AND] victorious [IMPLY] naughty [PERIOD]
distinct [AND] talented [AND] hypocritical [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] naughty [PERIOD]
zealous [AND] friendly [IMPLY] talented [PERIOD]
frightened [AND] diplomatic [IMPLY] disobedient [PERIOD]
fine [IMPLY] disobedient [PERIOD]
impatient [IMPLY] frightened [PERIOD]
combative [IMPLY] hypocritical [PERIOD]
clumsy [AND] fine [AND] hilarious [IMPLY] fearless [PERIOD]
disobedient [AND] friendly [AND] different [IMPLY] charming [PERIOD]
distinct [IMPLY] confident [PERIOD]
fine [IMPLY] hilarious [PERIOD]
disobedient [AND] distinct [AND] confident [IMPLY] friendly [PERIOD]
victorious [IMPLY] hilarious [PERIOD]
zealous [AND] hilarious [IMPLY] different [PERIOD]
talented [AND] charming [IMPLY] confident [PERIOD]
hypocritical [AND] diplomatic [AND] disobedient [IMPLY] different [PERIOD]
friendly [IMPLY] hypocritical [PERIOD]
hilarious [AND] charming [AND] hypocritical [IMPLY] shiny [PERIOD]
impatient [AND] diplomatic [AND] tired [IMPLY] distinct [PERIOD]
friendly [IMPLY] clumsy [PERIOD]
clumsy [AND] confident [IMPLY] distinct [PERIOD]
friendly [AND] naughty [IMPLY] straightforward [PERIOD]
tired [IMPLY] talented [PERIOD]
confident [IMPLY] charming [PERIOD]
tired [IMPLY] naughty [PERIOD]
hilarious [IMPLY] fearless [PERIOD]
pleasant [AND] straightforward [AND] hypocritical [IMPLY] combative [PERIOD]
disobedient [AND] fearless [AND] pleasant [IMPLY] tired [PERIOD]
distinct [AND] straightforward [IMPLY] victorious [PERIOD]
pleasant [AND] talented [AND] different [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] clumsy [PERIOD]
confident [AND] disobedient [AND] diplomatic [IMPLY] talented [PERIOD]
confident [AND] talented [AND] straightforward [IMPLY] impatient [PERIOD]
different [AND] distinct [AND] clumsy [IMPLY] straightforward [PERIOD]
friendly [IMPLY] charming [PERIOD]
disobedient [AND] diplomatic [AND] distinct [IMPLY] tired [PERIOD]
diplomatic [AND] zealous [IMPLY] tired [PERIOD]
straightforward [AND] distinct [IMPLY] different [PERIOD]
confident [AND] naughty [IMPLY] combative [PERIOD]
hypocritical [IMPLY] tired [PERIOD]
naughty [AND] charming [IMPLY] straightforward [PERIOD]
diplomatic [IMPLY] confident [PERIOD]
clumsy [IMPLY] confident [PERIOD]
distinct [IMPLY] pleasant [PERIOD]
clumsy [AND] hilarious [IMPLY] zealous [PERIOD]
combative [AND] zealous [IMPLY] victorious [PERIOD]
clumsy [IMPLY] shiny [PERIOD]
impatient [AND] tired [AND] hilarious [IMPLY] distinct [PERIOD]
tired [AND] talented [AND] friendly [IMPLY] clumsy [PERIOD]
tired [AND] frightened [IMPLY] charming [PERIOD]
frightened [AND] friendly [IMPLY] hypocritical [PERIOD]
distinct [AND] frightened [IMPLY] pleasant [PERIOD]
impatient [IMPLY] tired [PERIOD]
impatient [AND] combative [AND] diplomatic [IMPLY] zealous [PERIOD]
fine [AND] tired [AND] charming [IMPLY] naughty [PERIOD]
distinct [AND] zealous [IMPLY] frightened [PERIOD]
shiny [IMPLY] combative [PERIOD]
tired [AND] zealous [IMPLY] frightened [PERIOD]
shiny [AND] talented [AND] zealous [IMPLY] diplomatic [PERIOD]
clumsy [IMPLY] friendly [PERIOD]
frightened [IMPLY] victorious [PERIOD]
shiny [AND] different [IMPLY] confident [PERIOD]
fine [AND] hypocritical [IMPLY] pleasant [PERIOD]
combative [AND] hilarious [IMPLY] straightforward [PERIOD]
victorious [AND] zealous [IMPLY] shiny [PERIOD]
clumsy [IMPLY] zealous [PERIOD]
disobedient [AND] frightened [IMPLY] naughty [PERIOD]
charming [IMPLY] hilarious [PERIOD]
combative [AND] pleasant [AND] confident [IMPLY] different [PERIOD]
hypocritical [IMPLY] fine [PERIOD]
friendly [AND] victorious [IMPLY] confident [PERIOD]
charming [IMPLY] outstanding [PERIOD]
charming [AND] hilarious [IMPLY] zealous [PERIOD]
friendly [IMPLY] impatient [PERIOD]
talented [AND] zealous [AND] clumsy [IMPLY] outstanding [PERIOD]
hypocritical [AND] naughty [IMPLY] fine [PERIOD]
friendly [AND] talented [AND] impatient [IMPLY] combative [PERIOD]
fearless [AND] frightened [IMPLY] pleasant [PERIOD]
outstanding [IMPLY] fearless [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   disobedient ⇒ clumsy
   clumsy ∧ confident ⇒ distinct
",1,2
"Facts: 
Rules:
victorious [IMPLY] attractive [PERIOD]
thoughtless [AND] attractive [IMPLY] victorious [PERIOD]
wandering [AND] attractive [IMPLY] thoughtless [PERIOD]
wandering [AND] serious [IMPLY] victorious [PERIOD]
serious [AND] victorious [AND] attractive [IMPLY] wandering [PERIOD]
thoughtless [AND] wandering [IMPLY] serious [PERIOD]
attractive [AND] wandering [IMPLY] serious [PERIOD]
wandering [AND] serious [IMPLY] thoughtless [PERIOD]
serious [AND] victorious [AND] thoughtless [IMPLY] attractive [PERIOD]
wandering [AND] victorious [IMPLY] attractive [PERIOD]
victorious [IMPLY] thoughtless [PERIOD]
wandering [IMPLY] attractive [PERIOD]
thoughtless [IMPLY] attractive [PERIOD]
victorious [AND] serious [AND] attractive [IMPLY] thoughtless [PERIOD]
thoughtless [AND] wandering [IMPLY] victorious [PERIOD]
serious [IMPLY] thoughtless [PERIOD]
thoughtless [AND] victorious [IMPLY] attractive [PERIOD]
attractive [AND] serious [IMPLY] thoughtless [PERIOD]
thoughtless [AND] attractive [AND] wandering [IMPLY] victorious [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “wandering ∧ attractive ⇒ thoughtless” because missing: wandering, attractive.
   Cannot apply rule “wandering ∧ serious ⇒ thoughtless” because missing: wandering, serious.
   Cannot apply rule “victorious ⇒ thoughtless” because missing: victorious.
   Cannot apply rule “victorious ∧ serious ∧ attractive ⇒ thoughtless” because missing: victorious, serious, attractive.
   Cannot apply rule “serious ⇒ thoughtless” because missing: serious.
   Cannot apply rule “attractive ∧ serious ⇒ thoughtless” because missing: attractive, serious.
",0,6
"Facts:  Alice is jittery [PERIOD] Alice is popular [PERIOD] Alice is cute [PERIOD] Alice is naughty [PERIOD] Alice is straightforward [PERIOD] Alice is lonely [PERIOD] Alice is glamorous [PERIOD]
Rules:
good [AND] beautiful [AND] hurt [IMPLY] blushing [PERIOD]
silly [IMPLY] thoughtful [PERIOD]
lonely [AND] average [AND] scared [IMPLY] different [PERIOD]
easy [AND] straightforward [AND] ambitious [IMPLY] loving [PERIOD]
elegant [IMPLY] worrisome [PERIOD]
hurt [AND] different [IMPLY] ambitious [PERIOD]
tender [IMPLY] straightforward [PERIOD]
ambitious [AND] jittery [AND] blushing [IMPLY] straightforward [PERIOD]
naughty [AND] jittery [AND] straightforward [IMPLY] loving [PERIOD]
straightforward [AND] jittery [IMPLY] thoughtful [PERIOD]
silly [AND] horrible [AND] smart [IMPLY] hurt [PERIOD]
condemned [AND] horrible [IMPLY] ambitious [PERIOD]
good [IMPLY] disgusted [PERIOD]
mean [AND] easy [AND] lonely [IMPLY] good [PERIOD]
ambitious [AND] straightforward [IMPLY] silly [PERIOD]
disgusted [AND] loving [IMPLY] jittery [PERIOD]
blushing [AND] mean [AND] ambitious [IMPLY] fearless [PERIOD]
disgusted [IMPLY] cute [PERIOD]
intellectual [AND] lonely [IMPLY] condemned [PERIOD]
beautiful [AND] popular [IMPLY] scared [PERIOD]
good [AND] fearless [AND] worrisome [IMPLY] tender [PERIOD]
beautiful [AND] smart [AND] loving [IMPLY] different [PERIOD]
condemned [IMPLY] average [PERIOD]
jittery [AND] hurt [IMPLY] loving [PERIOD]
different [AND] tender [IMPLY] elegant [PERIOD]
condemned [AND] smart [AND] easy [IMPLY] scared [PERIOD]
different [AND] glamorous [AND] bad-tempered [IMPLY] silly [PERIOD]
horrible [AND] naughty [AND] smart [IMPLY] glamorous [PERIOD]
disgusted [AND] glamorous [IMPLY] thoughtful [PERIOD]
beautiful [AND] cute [IMPLY] scared [PERIOD]
fearless [AND] bad-tempered [AND] silly [IMPLY] mean [PERIOD]
hurt [AND] jittery [IMPLY] elegant [PERIOD]
horrible [AND] good [IMPLY] bad-tempered [PERIOD]
worrisome [AND] cute [IMPLY] ambitious [PERIOD]
average [IMPLY] ambitious [PERIOD]
straightforward [AND] disgusted [AND] elegant [IMPLY] cute [PERIOD]
beautiful [IMPLY] silly [PERIOD]
naughty [IMPLY] easy [PERIOD]
naughty [AND] disgusted [AND] mean [IMPLY] thoughtful [PERIOD]
worrisome [AND] loving [AND] good [IMPLY] hurt [PERIOD]
beautiful [AND] worrisome [AND] jittery [IMPLY] straightforward [PERIOD]
elegant [AND] blushing [AND] mean [IMPLY] fearless [PERIOD]
thoughtful [IMPLY] horrible [PERIOD]
cute [AND] condemned [AND] smart [IMPLY] mean [PERIOD]
easy [AND] beautiful [AND] cute [IMPLY] hurt [PERIOD]
hurt [AND] easy [IMPLY] ambitious [PERIOD]
different [AND] good [AND] popular [IMPLY] lonely [PERIOD]
easy [AND] different [IMPLY] good [PERIOD]
disgusted [IMPLY] elegant [PERIOD]
lonely [AND] tender [AND] straightforward [IMPLY] fearless [PERIOD]
scared [AND] silly [IMPLY] thoughtful [PERIOD]
glamorous [AND] loving [IMPLY] scared [PERIOD]
thoughtful [AND] naughty [AND] popular [IMPLY] elegant [PERIOD]
worrisome [AND] beautiful [IMPLY] blushing [PERIOD]
horrible [IMPLY] ambitious [PERIOD]
silly [IMPLY] lonely [PERIOD]
blushing [AND] tender [AND] popular [IMPLY] different [PERIOD]
intellectual [IMPLY] popular [PERIOD]
good [IMPLY] beautiful [PERIOD]
different [AND] bad-tempered [AND] ambitious [IMPLY] lonely [PERIOD]
lonely [AND] silly [IMPLY] jittery [PERIOD]
condemned [IMPLY] different [PERIOD]
disgusted [AND] straightforward [AND] average [IMPLY] cute [PERIOD]
beautiful [AND] jittery [AND] loving [IMPLY] condemned [PERIOD]
blushing [AND] jittery [IMPLY] disgusted [PERIOD]
disgusted [AND] smart [AND] worrisome [IMPLY] lonely [PERIOD]
tender [IMPLY] condemned [PERIOD]
smart [AND] bad-tempered [IMPLY] fearless [PERIOD]
mean [AND] beautiful [AND] bad-tempered [IMPLY] good [PERIOD]
horrible [IMPLY] different [PERIOD]
smart [AND] ambitious [IMPLY] elegant [PERIOD]
beautiful [AND] elegant [IMPLY] good [PERIOD]
naughty [AND] smart [IMPLY] disgusted [PERIOD]
good [IMPLY] hurt [PERIOD]
cute [AND] thoughtful [IMPLY] popular [PERIOD]
horrible [AND] good [IMPLY] different [PERIOD]
popular [AND] horrible [IMPLY] different [PERIOD]
jittery [IMPLY] average [PERIOD]
straightforward [AND] mean [AND] average [IMPLY] worrisome [PERIOD]
beautiful [IMPLY] cute [PERIOD]
cute [AND] glamorous [IMPLY] hurt [PERIOD]
thoughtful [AND] hurt [AND] loving [IMPLY] bad-tempered [PERIOD]
naughty [AND] intellectual [IMPLY] different [PERIOD]
elegant [AND] scared [AND] blushing [IMPLY] average [PERIOD]
blushing [IMPLY] disgusted [PERIOD]
average [IMPLY] jittery [PERIOD]
elegant [AND] popular [AND] tender [IMPLY] beautiful [PERIOD]
worrisome [IMPLY] intellectual [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   naughty ⇒ easy
   straightforward ∧ jittery ⇒ thoughtful
   thoughtful ⇒ horrible
   horrible ⇒ different
   easy ∧ different ⇒ good
   good ⇒ beautiful
",1,6
"Facts:  Alice is selfish [PERIOD]
Rules:
zealous [AND] glamorous [AND] clumsy [IMPLY] bossy [PERIOD]
clumsy [AND] glamorous [IMPLY] confident [PERIOD]
confident [AND] selfish [AND] glamorous [IMPLY] adorable [PERIOD]
unpleasant [IMPLY] serious [PERIOD]
unpleasant [IMPLY] confident [PERIOD]
unpleasant [AND] clumsy [AND] selfish [IMPLY] glamorous [PERIOD]
ugly [AND] zealous [IMPLY] clumsy [PERIOD]
old-fashioned [AND] selfish [IMPLY] glamorous [PERIOD]
courageous [AND] serious [IMPLY] adorable [PERIOD]
ugly [AND] old-fashioned [AND] courageous [IMPLY] worrisome [PERIOD]
selfish [AND] serious [IMPLY] zealous [PERIOD]
courageous [IMPLY] glamorous [PERIOD]
courageous [AND] clumsy [AND] unpleasant [IMPLY] adorable [PERIOD]
average [IMPLY] worrisome [PERIOD]
clumsy [AND] serious [IMPLY] average [PERIOD]
unpleasant [AND] bossy [AND] serious [IMPLY] zealous [PERIOD]
glamorous [AND] average [IMPLY] clumsy [PERIOD]
selfish [AND] zealous [AND] unpleasant [IMPLY] serious [PERIOD]
glamorous [IMPLY] worrisome [PERIOD]
glamorous [IMPLY] unpleasant [PERIOD]
ugly [AND] glamorous [IMPLY] zealous [PERIOD]
selfish [IMPLY] serious [PERIOD]
serious [AND] average [AND] glamorous [IMPLY] confident [PERIOD]
bossy [AND] selfish [IMPLY] courageous [PERIOD]
selfish [IMPLY] ugly [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   selfish ⇒ serious
   selfish ∧ serious ⇒ zealous
   selfish ⇒ ugly
   selfish ⇒ serious
   selfish ∧ serious ⇒ zealous
   ugly ∧ zealous ⇒ clumsy
   Cannot apply rule “zealous ∧ glamorous ∧ clumsy ⇒ bossy” because missing: glamorous.
",0,7
"Facts: 
Rules:
outrageous [AND] scared [AND] unpleasant [IMPLY] stupid [PERIOD]
ugly [IMPLY] calm [PERIOD]
hypocritical [AND] calm [AND] scared [IMPLY] unpleasant [PERIOD]
stupid [AND] sleepy [IMPLY] popular [PERIOD]
outrageous [AND] stupid [AND] bright [IMPLY] popular [PERIOD]
tired [AND] stupid [AND] unpleasant [IMPLY] bright [PERIOD]
stupid [AND] calm [AND] hurt [IMPLY] ugly [PERIOD]
hypocritical [AND] calm [AND] famous [IMPLY] stupid [PERIOD]
bright [AND] stupid [IMPLY] sleepy [PERIOD]
ugly [IMPLY] scared [PERIOD]
bright [IMPLY] unpleasant [PERIOD]
calm [IMPLY] scared [PERIOD]
ugly [AND] inexpensive [AND] hypocritical [IMPLY] famous [PERIOD]
bright [AND] scared [IMPLY] famous [PERIOD]
bright [AND] popular [AND] scared [IMPLY] unpleasant [PERIOD]
stupid [AND] popular [IMPLY] tired [PERIOD]
tired [AND] hypocritical [AND] bright [IMPLY] outrageous [PERIOD]
calm [AND] ugly [AND] famous [IMPLY] scared [PERIOD]
stupid [AND] outrageous [IMPLY] popular [PERIOD]
stupid [AND] famous [IMPLY] scared [PERIOD]
scared [AND] ugly [AND] unpleasant [IMPLY] hypocritical [PERIOD]
famous [AND] outrageous [IMPLY] scared [PERIOD]
outrageous [IMPLY] hurt [PERIOD]
scared [AND] sleepy [IMPLY] unpleasant [PERIOD]
inexpensive [AND] sleepy [AND] scared [IMPLY] hypocritical [PERIOD]
tired [AND] outrageous [AND] famous [IMPLY] hypocritical [PERIOD]
popular [IMPLY] stupid [PERIOD]
hurt [AND] ugly [AND] stupid [IMPLY] unpleasant [PERIOD]
hypocritical [AND] calm [IMPLY] ugly [PERIOD]
unpleasant [AND] bright [AND] popular [IMPLY] stupid [PERIOD]
unpleasant [AND] sleepy [IMPLY] outrageous [PERIOD]
scared [AND] stupid [AND] inexpensive [IMPLY] ugly [PERIOD]
outrageous [IMPLY] sleepy [PERIOD]
unpleasant [IMPLY] tired [PERIOD]
bright [AND] inexpensive [AND] stupid [IMPLY] scared [PERIOD]
inexpensive [IMPLY] tired [PERIOD]
unpleasant [AND] ugly [AND] hypocritical [IMPLY] famous [PERIOD]
hypocritical [AND] outrageous [AND] stupid [IMPLY] inexpensive [PERIOD]
outrageous [AND] hypocritical [AND] bright [IMPLY] stupid [PERIOD]
bright [IMPLY] famous [PERIOD]
calm [AND] hypocritical [IMPLY] hurt [PERIOD]
scared [AND] hypocritical [IMPLY] tired [PERIOD]
inexpensive [AND] hurt [IMPLY] outrageous [PERIOD]
stupid [AND] inexpensive [AND] tired [IMPLY] unpleasant [PERIOD]
calm [AND] tired [IMPLY] unpleasant [PERIOD]
unpleasant [AND] hypocritical [AND] tired [IMPLY] scared [PERIOD]
inexpensive [AND] calm [IMPLY] ugly [PERIOD]
outrageous [AND] bright [AND] scared [IMPLY] hurt [PERIOD]
inexpensive [AND] bright [IMPLY] ugly [PERIOD]
inexpensive [AND] tired [IMPLY] ugly [PERIOD]
sleepy [AND] unpleasant [IMPLY] ugly [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   Cannot apply rule “bright ∧ stupid ⇒ sleepy” because missing: bright, stupid.
   Cannot apply rule “outrageous ⇒ sleepy” because missing: outrageous.
",0,2
"Facts:  Alice is disobedient [PERIOD] Alice is gifted [PERIOD] Alice is diplomatic [PERIOD]
Rules:
disobedient [AND] diplomatic [AND] intellectual [IMPLY] gifted [PERIOD]
intellectual [AND] cooperative [AND] blushing [IMPLY] disobedient [PERIOD]
stormy [AND] helpful [IMPLY] blushing [PERIOD]
intellectual [IMPLY] messy [PERIOD]
long [AND] supportive [AND] stubborn [IMPLY] intellectual [PERIOD]
blushing [AND] diplomatic [AND] stormy [IMPLY] fragile [PERIOD]
stubborn [IMPLY] stormy [PERIOD]
dishonest [AND] gifted [IMPLY] helpful [PERIOD]
dishonest [AND] disobedient [IMPLY] cooperative [PERIOD]
long [AND] helpful [AND] blushing [IMPLY] dishonest [PERIOD]
dishonest [AND] stormy [AND] supportive [IMPLY] messy [PERIOD]
gifted [AND] blushing [IMPLY] stormy [PERIOD]
stubborn [IMPLY] helpful [PERIOD]
stormy [IMPLY] cooperative [PERIOD]
fragile [AND] naughty [IMPLY] stubborn [PERIOD]
long [AND] disobedient [IMPLY] supportive [PERIOD]
helpful [AND] cooperative [IMPLY] stubborn [PERIOD]
disobedient [AND] helpful [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] helpful [PERIOD]
stormy [AND] dishonest [IMPLY] stubborn [PERIOD]
gifted [IMPLY] disobedient [PERIOD]
stormy [AND] dishonest [AND] diplomatic [IMPLY] long [PERIOD]
blushing [AND] disobedient [IMPLY] cooperative [PERIOD]
messy [AND] stubborn [IMPLY] disobedient [PERIOD]
supportive [IMPLY] stormy [PERIOD]
blushing [AND] gifted [IMPLY] stubborn [PERIOD]
naughty [AND] blushing [AND] stormy [IMPLY] dishonest [PERIOD]
stormy [AND] gifted [AND] disobedient [IMPLY] intellectual [PERIOD]
dishonest [AND] naughty [IMPLY] diplomatic [PERIOD]
fragile [AND] cooperative [IMPLY] gifted [PERIOD]
stormy [AND] diplomatic [IMPLY] fragile [PERIOD]
diplomatic [AND] fragile [IMPLY] blushing [PERIOD]
helpful [AND] intellectual [IMPLY] long [PERIOD]
cooperative [AND] messy [IMPLY] supportive [PERIOD]
fragile [IMPLY] gifted [PERIOD]
stormy [AND] diplomatic [IMPLY] naughty [PERIOD]
long [AND] fragile [AND] gifted [IMPLY] cooperative [PERIOD]
fragile [IMPLY] naughty [PERIOD]
gifted [AND] supportive [AND] helpful [IMPLY] intellectual [PERIOD]
stubborn [AND] cooperative [AND] diplomatic [IMPLY] intellectual [PERIOD]
cooperative [AND] stubborn [AND] messy [IMPLY] blushing [PERIOD]
helpful [AND] blushing [AND] diplomatic [IMPLY] dishonest [PERIOD]
cooperative [AND] diplomatic [AND] stormy [IMPLY] blushing [PERIOD]
dishonest [IMPLY] helpful [PERIOD]
dishonest [IMPLY] long [PERIOD]
cooperative [AND] disobedient [IMPLY] long [PERIOD]
disobedient [AND] intellectual [IMPLY] diplomatic [PERIOD]
long [IMPLY] blushing [PERIOD]
stubborn [AND] gifted [AND] disobedient [IMPLY] supportive [PERIOD]
gifted [AND] messy [AND] blushing [IMPLY] stubborn [PERIOD]
dishonest [IMPLY] stubborn [PERIOD]
cooperative [AND] disobedient [AND] fragile [IMPLY] long [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   Cannot apply rule “long ∧ supportive ∧ stubborn ⇒ intellectual” because missing: long, supportive, stubborn.
   Cannot apply rule “stormy ∧ gifted ∧ disobedient ⇒ intellectual” because missing: stormy.
   Cannot apply rule “gifted ∧ supportive ∧ helpful ⇒ intellectual” because missing: supportive, helpful.
   Cannot apply rule “stubborn ∧ cooperative ∧ diplomatic ⇒ intellectual” because missing: stubborn, cooperative.
",0,4
"Facts: 
Rules:
blushing [IMPLY] inexpensive [PERIOD]
blushing [AND] gifted [IMPLY] ugly [PERIOD]
blushing [AND] crowded [IMPLY] inexpensive [PERIOD]
gifted [IMPLY] ugly [PERIOD]
blushing [AND] ugly [AND] crowded [IMPLY] gifted [PERIOD]
crowded [IMPLY] blushing [PERIOD]
gifted [AND] crowded [AND] reserved [IMPLY] inexpensive [PERIOD]
crowded [AND] ugly [IMPLY] blushing [PERIOD]
crowded [AND] blushing [AND] reserved [IMPLY] ugly [PERIOD]
inexpensive [AND] blushing [AND] ugly [IMPLY] gifted [PERIOD]
gifted [IMPLY] crowded [PERIOD]
crowded [IMPLY] reserved [PERIOD]
blushing [IMPLY] reserved [PERIOD]
ugly [AND] gifted [IMPLY] inexpensive [PERIOD]
inexpensive [IMPLY] blushing [PERIOD]
inexpensive [AND] reserved [IMPLY] ugly [PERIOD]
blushing [AND] crowded [AND] ugly [IMPLY] reserved [PERIOD]
crowded [AND] reserved [IMPLY] blushing [PERIOD]
reserved [IMPLY] gifted [PERIOD]
crowded [IMPLY] ugly [PERIOD]
ugly [AND] inexpensive [AND] gifted [IMPLY] blushing [PERIOD]
gifted [AND] reserved [AND] blushing [IMPLY] ugly [PERIOD]
crowded [AND] ugly [IMPLY] reserved [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   Cannot apply rule “blushing ∧ gifted ⇒ ugly” because missing: blushing, gifted.
   Cannot apply rule “gifted ⇒ ugly” because missing: gifted.
   Cannot apply rule “crowded ∧ blushing ∧ reserved ⇒ ugly” because missing: crowded, blushing, reserved.
   Cannot apply rule “inexpensive ∧ reserved ⇒ ugly” because missing: inexpensive, reserved.
   Cannot apply rule “crowded ⇒ ugly” because missing: crowded.
   Cannot apply rule “gifted ∧ reserved ∧ blushing ⇒ ugly” because missing: gifted, reserved, blushing.
",0,6
"Facts:  Alice is messy [PERIOD] Alice is outstanding [PERIOD] Alice is quaint [PERIOD] Alice is curious [PERIOD] Alice is friendly [PERIOD]
Rules:
courageous [IMPLY] tired [PERIOD]
victorious [AND] reserved [AND] curious [IMPLY] quaint [PERIOD]
cute [AND] outrageous [IMPLY] courageous [PERIOD]
silly [AND] messy [IMPLY] quaint [PERIOD]
vivacious [AND] silly [IMPLY] hilarious [PERIOD]
friendly [IMPLY] hilarious [PERIOD]
quaint [IMPLY] courageous [PERIOD]
wandering [AND] outstanding [IMPLY] victorious [PERIOD]
outrageous [AND] friendly [AND] selfish [IMPLY] quaint [PERIOD]
messy [AND] careless [IMPLY] tired [PERIOD]
wandering [AND] victorious [IMPLY] friendly [PERIOD]
tired [AND] reserved [IMPLY] wandering [PERIOD]
embarrassed [AND] outstanding [IMPLY] reserved [PERIOD]
friendly [IMPLY] reserved [PERIOD]
hilarious [AND] vivacious [IMPLY] curious [PERIOD]
vivacious [AND] messy [IMPLY] friendly [PERIOD]
selfish [AND] wandering [IMPLY] vivacious [PERIOD]
outstanding [AND] vivacious [IMPLY] messy [PERIOD]
cute [AND] silly [AND] wandering [IMPLY] careless [PERIOD]
outstanding [AND] tired [IMPLY] outrageous [PERIOD]
wandering [AND] outstanding [IMPLY] outrageous [PERIOD]
selfish [AND] courageous [AND] cute [IMPLY] hilarious [PERIOD]
silly [AND] victorious [AND] tired [IMPLY] friendly [PERIOD]
curious [IMPLY] friendly [PERIOD]
victorious [AND] cute [AND] curious [IMPLY] outstanding [PERIOD]
friendly [IMPLY] vivacious [PERIOD]
courageous [AND] embarrassed [IMPLY] tired [PERIOD]
outstanding [IMPLY] reserved [PERIOD]
friendly [AND] messy [AND] curious [IMPLY] courageous [PERIOD]
curious [AND] outstanding [AND] careless [IMPLY] friendly [PERIOD]
quaint [AND] friendly [IMPLY] hilarious [PERIOD]
embarrassed [AND] vivacious [AND] silly [IMPLY] selfish [PERIOD]
hilarious [AND] outrageous [IMPLY] silly [PERIOD]
outrageous [IMPLY] wandering [PERIOD]
Query: Alice is selfish [PERIOD]","Proof chain:
   friendly ⇒ vivacious
   friendly ⇒ hilarious
   friendly ∧ messy ∧ curious ⇒ courageous
   courageous ⇒ tired
   outstanding ∧ tired ⇒ outrageous
   hilarious ∧ outrageous ⇒ silly
   Cannot apply rule “embarrassed ∧ vivacious ∧ silly ⇒ selfish” because missing: embarrassed.
",0,7
"Facts:  Alice is fine [PERIOD]
Rules:
beautiful [AND] victorious [IMPLY] bright [PERIOD]
beautiful [IMPLY] grumpy [PERIOD]
victorious [AND] bright [IMPLY] fine [PERIOD]
victorious [AND] bright [IMPLY] gorgeous [PERIOD]
fine [AND] bright [AND] pleasant [IMPLY] grumpy [PERIOD]
grumpy [AND] curious [IMPLY] gorgeous [PERIOD]
gorgeous [AND] pleasant [IMPLY] bright [PERIOD]
grumpy [AND] gorgeous [IMPLY] curious [PERIOD]
curious [AND] grumpy [IMPLY] beautiful [PERIOD]
gorgeous [IMPLY] fine [PERIOD]
grumpy [AND] curious [AND] beautiful [IMPLY] bright [PERIOD]
curious [AND] pleasant [IMPLY] bright [PERIOD]
curious [AND] grumpy [AND] bright [IMPLY] beautiful [PERIOD]
fine [AND] victorious [IMPLY] grumpy [PERIOD]
pleasant [AND] curious [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] pleasant [PERIOD]
curious [AND] fine [IMPLY] victorious [PERIOD]
fine [AND] curious [AND] victorious [IMPLY] pleasant [PERIOD]
beautiful [AND] gorgeous [AND] pleasant [IMPLY] grumpy [PERIOD]
beautiful [AND] gorgeous [AND] curious [IMPLY] fine [PERIOD]
curious [IMPLY] bright [PERIOD]
curious [AND] fine [IMPLY] bright [PERIOD]
fine [AND] grumpy [IMPLY] beautiful [PERIOD]
beautiful [AND] gorgeous [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] bright [PERIOD]
gorgeous [AND] pleasant [IMPLY] beautiful [PERIOD]
grumpy [AND] fine [IMPLY] pleasant [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   Cannot apply rule “beautiful ∧ victorious ⇒ bright” because missing: beautiful, victorious.
   Cannot apply rule “gorgeous ∧ pleasant ⇒ bright” because missing: gorgeous, pleasant.
   Cannot apply rule “grumpy ∧ curious ∧ beautiful ⇒ bright” because missing: grumpy, curious, beautiful.
   Cannot apply rule “curious ∧ pleasant ⇒ bright” because missing: curious, pleasant.
   Cannot apply rule “curious ⇒ bright” because missing: curious.
   Cannot apply rule “curious ∧ fine ⇒ bright” because missing: curious.
   Cannot apply rule “pleasant ⇒ bright” because missing: pleasant.
",0,7
"Facts:  Alice is bored [PERIOD] Alice is confused [PERIOD] Alice is ugly [PERIOD] Alice is tame [PERIOD]
Rules:
tame [AND] stupid [IMPLY] cruel [PERIOD]
ugly [IMPLY] troubled [PERIOD]
stupid [AND] worried [IMPLY] serious [PERIOD]
cruel [IMPLY] worried [PERIOD]
serious [IMPLY] cruel [PERIOD]
embarrassed [IMPLY] innocent [PERIOD]
wandering [IMPLY] fearless [PERIOD]
innocent [AND] grumpy [AND] lonely [IMPLY] serious [PERIOD]
serious [IMPLY] lonely [PERIOD]
innocent [IMPLY] talkative [PERIOD]
supportive [AND] grumpy [IMPLY] silly [PERIOD]
confused [AND] serious [IMPLY] embarrassed [PERIOD]
worried [AND] ugly [IMPLY] confused [PERIOD]
ugly [AND] silly [AND] innocent [IMPLY] talkative [PERIOD]
ugly [AND] talkative [IMPLY] tame [PERIOD]
serious [AND] tame [AND] bored [IMPLY] cruel [PERIOD]
confused [AND] lonely [AND] ugly [IMPLY] silly [PERIOD]
wandering [IMPLY] charming [PERIOD]
lonely [AND] talkative [AND] charming [IMPLY] confused [PERIOD]
cruel [AND] silly [IMPLY] lonely [PERIOD]
ugly [IMPLY] silly [PERIOD]
innocent [IMPLY] charming [PERIOD]
worried [AND] wandering [AND] cruel [IMPLY] charming [PERIOD]
bored [AND] confused [AND] cruel [IMPLY] serious [PERIOD]
embarrassed [AND] grumpy [AND] troubled [IMPLY] wandering [PERIOD]
charming [AND] troubled [AND] ugly [IMPLY] confused [PERIOD]
cruel [AND] grumpy [AND] worried [IMPLY] embarrassed [PERIOD]
cruel [AND] innocent [IMPLY] embarrassed [PERIOD]
grumpy [AND] serious [IMPLY] cruel [PERIOD]
wandering [AND] charming [AND] embarrassed [IMPLY] worried [PERIOD]
worried [AND] wandering [AND] fearless [IMPLY] cruel [PERIOD]
silly [IMPLY] talkative [PERIOD]
silly [IMPLY] serious [PERIOD]
lonely [AND] innocent [IMPLY] talkative [PERIOD]
confused [AND] worried [AND] troubled [IMPLY] grumpy [PERIOD]
talkative [AND] charming [AND] stupid [IMPLY] innocent [PERIOD]
talkative [AND] worried [AND] tame [IMPLY] innocent [PERIOD]
supportive [AND] serious [IMPLY] lonely [PERIOD]
fearless [AND] innocent [AND] ugly [IMPLY] talkative [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   ugly ⇒ silly
   silly ⇒ serious
   confused ∧ serious ⇒ embarrassed
",1,3
"Facts:  Alice is intellectual [PERIOD]
Rules:
uptight [AND] bored [AND] intellectual [IMPLY] charming [PERIOD]
uptight [IMPLY] tender [PERIOD]
condemned [IMPLY] tender [PERIOD]
bored [AND] cute [AND] condemned [IMPLY] stupid [PERIOD]
mean [AND] bright [IMPLY] shy [PERIOD]
bored [IMPLY] tired [PERIOD]
tired [AND] tender [IMPLY] dishonest [PERIOD]
intellectual [IMPLY] cute [PERIOD]
condemned [AND] bossy [AND] cute [IMPLY] polite [PERIOD]
bossy [AND] polite [IMPLY] different [PERIOD]
charming [IMPLY] intellectual [PERIOD]
condemned [IMPLY] plain [PERIOD]
uptight [IMPLY] hurt [PERIOD]
shy [AND] gorgeous [IMPLY] victorious [PERIOD]
hurt [AND] bossy [AND] distinct [IMPLY] mean [PERIOD]
bored [AND] mean [AND] polite [IMPLY] shy [PERIOD]
intellectual [AND] polite [AND] uptight [IMPLY] tender [PERIOD]
dishonest [IMPLY] charming [PERIOD]
intellectual [AND] different [AND] tender [IMPLY] plain [PERIOD]
different [IMPLY] dishonest [PERIOD]
tender [AND] mean [IMPLY] distinct [PERIOD]
gorgeous [AND] hurt [IMPLY] cute [PERIOD]
tender [AND] intellectual [IMPLY] charming [PERIOD]
mean [AND] bright [IMPLY] hurt [PERIOD]
bossy [AND] uptight [AND] victorious [IMPLY] gorgeous [PERIOD]
bright [AND] uptight [AND] polite [IMPLY] bored [PERIOD]
bright [IMPLY] different [PERIOD]
plain [AND] condemned [IMPLY] bossy [PERIOD]
different [AND] dishonest [IMPLY] hurt [PERIOD]
tired [AND] victorious [AND] condemned [IMPLY] shy [PERIOD]
hurt [IMPLY] uptight [PERIOD]
shy [AND] different [AND] intellectual [IMPLY] bossy [PERIOD]
intellectual [IMPLY] victorious [PERIOD]
mean [IMPLY] tired [PERIOD]
dishonest [IMPLY] uptight [PERIOD]
condemned [AND] tender [AND] stupid [IMPLY] shy [PERIOD]
gorgeous [AND] polite [AND] cute [IMPLY] distinct [PERIOD]
intellectual [AND] shy [IMPLY] tender [PERIOD]
plain [AND] cute [AND] condemned [IMPLY] gorgeous [PERIOD]
cute [AND] condemned [IMPLY] gorgeous [PERIOD]
intellectual [AND] polite [IMPLY] uptight [PERIOD]
polite [AND] dishonest [AND] charming [IMPLY] condemned [PERIOD]
polite [AND] plain [IMPLY] distinct [PERIOD]
dishonest [AND] uptight [AND] plain [IMPLY] hurt [PERIOD]
plain [AND] different [IMPLY] uptight [PERIOD]
charming [IMPLY] polite [PERIOD]
mean [AND] bored [AND] bossy [IMPLY] distinct [PERIOD]
mean [AND] hurt [AND] bossy [IMPLY] bored [PERIOD]
victorious [AND] uptight [IMPLY] tender [PERIOD]
polite [IMPLY] uptight [PERIOD]
hurt [AND] cute [IMPLY] polite [PERIOD]
plain [AND] tender [AND] bored [IMPLY] bossy [PERIOD]
polite [AND] different [IMPLY] dishonest [PERIOD]
different [AND] gorgeous [IMPLY] distinct [PERIOD]
bright [AND] stupid [IMPLY] dishonest [PERIOD]
tender [IMPLY] hurt [PERIOD]
dishonest [IMPLY] bossy [PERIOD]
condemned [AND] tender [IMPLY] uptight [PERIOD]
shy [AND] plain [AND] victorious [IMPLY] hurt [PERIOD]
tender [AND] dishonest [AND] mean [IMPLY] different [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   intellectual ⇒ victorious
   Cannot apply rule “bossy ∧ uptight ∧ victorious ⇒ gorgeous” because missing: bossy, uptight.
   intellectual ⇒ cute
   Cannot apply rule “plain ∧ cute ∧ condemned ⇒ gorgeous” because missing: plain, condemned.
   intellectual ⇒ cute
   Cannot apply rule “cute ∧ condemned ⇒ gorgeous” because missing: condemned.
",0,6
"Facts:  Alice is beautiful [PERIOD]
Rules:
strange [IMPLY] grumpy [PERIOD]
courageous [AND] exuberant [AND] smart [IMPLY] rational [PERIOD]
stormy [AND] ugliest [AND] easy [IMPLY] ugly [PERIOD]
rational [IMPLY] strange [PERIOD]
ugly [IMPLY] ugliest [PERIOD]
straightforward [AND] fearless [AND] grumpy [IMPLY] talented [PERIOD]
scared [AND] tidy [IMPLY] ambitious [PERIOD]
ugly [IMPLY] rational [PERIOD]
tidy [IMPLY] ambitious [PERIOD]
easy [AND] exuberant [AND] straightforward [IMPLY] diplomatic [PERIOD]
exuberant [IMPLY] straightforward [PERIOD]
ugly [AND] scared [AND] inquisitive [IMPLY] ambitious [PERIOD]
easy [AND] strange [AND] fearless [IMPLY] straightforward [PERIOD]
inquisitive [IMPLY] zealous [PERIOD]
rational [AND] talkative [AND] scared [IMPLY] worried [PERIOD]
talented [AND] grumpy [IMPLY] inquisitive [PERIOD]
fearless [IMPLY] exuberant [PERIOD]
sincere [AND] tidy [AND] talented [IMPLY] smart [PERIOD]
inquisitive [AND] scared [IMPLY] strange [PERIOD]
strange [AND] worried [AND] grumpy [IMPLY] amused [PERIOD]
smart [IMPLY] amused [PERIOD]
strange [AND] inquisitive [AND] grumpy [IMPLY] smart [PERIOD]
stormy [AND] ugly [IMPLY] ambitious [PERIOD]
straightforward [AND] diplomatic [IMPLY] ambitious [PERIOD]
straightforward [AND] talkative [IMPLY] courageous [PERIOD]
diplomatic [AND] talented [IMPLY] scared [PERIOD]
stormy [IMPLY] amused [PERIOD]
smart [AND] courageous [AND] talkative [IMPLY] beautiful [PERIOD]
beautiful [AND] worried [IMPLY] strange [PERIOD]
beautiful [AND] amused [IMPLY] talkative [PERIOD]
straightforward [IMPLY] ugliest [PERIOD]
easy [AND] rational [AND] inquisitive [IMPLY] smart [PERIOD]
rational [IMPLY] straightforward [PERIOD]
smart [IMPLY] ugliest [PERIOD]
zealous [IMPLY] straightforward [PERIOD]
easy [IMPLY] tidy [PERIOD]
exuberant [IMPLY] sincere [PERIOD]
ambitious [AND] worried [IMPLY] courageous [PERIOD]
courageous [AND] shy [AND] ambitious [IMPLY] rational [PERIOD]
beautiful [AND] exuberant [AND] tidy [IMPLY] grumpy [PERIOD]
diplomatic [IMPLY] tidy [PERIOD]
straightforward [AND] inquisitive [IMPLY] ambitious [PERIOD]
sincere [IMPLY] scared [PERIOD]
ambitious [AND] rational [IMPLY] straightforward [PERIOD]
tidy [IMPLY] inquisitive [PERIOD]
amused [AND] courageous [IMPLY] talented [PERIOD]
amused [AND] easy [AND] talented [IMPLY] scared [PERIOD]
beautiful [AND] easy [IMPLY] straightforward [PERIOD]
smart [IMPLY] diplomatic [PERIOD]
shy [AND] tidy [IMPLY] zealous [PERIOD]
ugliest [AND] rational [IMPLY] courageous [PERIOD]
ugly [AND] diplomatic [AND] tidy [IMPLY] ugliest [PERIOD]
helpful [AND] strange [AND] scared [IMPLY] tidy [PERIOD]
sincere [AND] smart [AND] fearless [IMPLY] shy [PERIOD]
courageous [IMPLY] beautiful [PERIOD]
amused [IMPLY] scared [PERIOD]
exuberant [AND] straightforward [AND] helpful [IMPLY] talkative [PERIOD]
amused [IMPLY] tidy [PERIOD]
beautiful [AND] rational [AND] diplomatic [IMPLY] fearless [PERIOD]
beautiful [AND] talented [IMPLY] diplomatic [PERIOD]
inquisitive [AND] amused [AND] exuberant [IMPLY] easy [PERIOD]
inquisitive [IMPLY] scared [PERIOD]
inquisitive [AND] beautiful [IMPLY] ugliest [PERIOD]
ambitious [AND] amused [IMPLY] sincere [PERIOD]
strange [IMPLY] beautiful [PERIOD]
easy [AND] fearless [AND] ambitious [IMPLY] beautiful [PERIOD]
grumpy [IMPLY] tidy [PERIOD]
zealous [AND] amused [AND] rational [IMPLY] tidy [PERIOD]
fearless [AND] rational [IMPLY] easy [PERIOD]
grumpy [IMPLY] easy [PERIOD]
fearless [AND] exuberant [AND] shy [IMPLY] grumpy [PERIOD]
worried [AND] talented [AND] exuberant [IMPLY] tidy [PERIOD]
diplomatic [AND] easy [AND] talented [IMPLY] rational [PERIOD]
straightforward [AND] ugly [IMPLY] strange [PERIOD]
helpful [AND] ugliest [AND] diplomatic [IMPLY] exuberant [PERIOD]
talkative [AND] zealous [IMPLY] beautiful [PERIOD]
exuberant [AND] shy [AND] courageous [IMPLY] easy [PERIOD]
ugliest [AND] easy [AND] talented [IMPLY] scared [PERIOD]
smart [AND] fearless [AND] ambitious [IMPLY] stormy [PERIOD]
helpful [AND] easy [IMPLY] beautiful [PERIOD]
strange [IMPLY] exuberant [PERIOD]
fearless [IMPLY] ugly [PERIOD]
straightforward [IMPLY] ugly [PERIOD]
zealous [AND] strange [IMPLY] grumpy [PERIOD]
worried [AND] shy [IMPLY] fearless [PERIOD]
beautiful [AND] inquisitive [IMPLY] exuberant [PERIOD]
amused [AND] easy [AND] worried [IMPLY] talented [PERIOD]
worried [AND] talented [AND] ugliest [IMPLY] exuberant [PERIOD]
fearless [AND] exuberant [AND] easy [IMPLY] courageous [PERIOD]
grumpy [AND] beautiful [IMPLY] ugliest [PERIOD]
ugly [AND] smart [IMPLY] strange [PERIOD]
stormy [AND] strange [IMPLY] exuberant [PERIOD]
sincere [IMPLY] exuberant [PERIOD]
strange [AND] courageous [AND] talented [IMPLY] grumpy [PERIOD]
amused [AND] shy [IMPLY] zealous [PERIOD]
ugly [IMPLY] zealous [PERIOD]
scared [AND] zealous [AND] courageous [IMPLY] straightforward [PERIOD]
strange [IMPLY] inquisitive [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   Cannot apply rule “rational ⇒ strange” because missing: rational.
   Cannot apply rule “inquisitive ∧ scared ⇒ strange” because missing: inquisitive, scared.
   Cannot apply rule “beautiful ∧ worried ⇒ strange” because missing: worried.
   Cannot apply rule “straightforward ∧ ugly ⇒ strange” because missing: straightforward, ugly.
   Cannot apply rule “ugly ∧ smart ⇒ strange” because missing: ugly, smart.
",0,5
"Facts: 
Rules:
cooperative [IMPLY] broad-minded [PERIOD]
impatient [AND] uptight [AND] selfish [IMPLY] inexpensive [PERIOD]
broad-minded [IMPLY] polite [PERIOD]
hurt [IMPLY] spotless [PERIOD]
uptight [IMPLY] polite [PERIOD]
broad-minded [AND] versatile [IMPLY] spotless [PERIOD]
cooperative [AND] selfish [AND] loving [IMPLY] versatile [PERIOD]
broad-minded [AND] worrisome [IMPLY] innocent [PERIOD]
worrisome [AND] polite [AND] hurt [IMPLY] versatile [PERIOD]
versatile [IMPLY] impatient [PERIOD]
spotless [AND] uptight [AND] hurt [IMPLY] innocent [PERIOD]
spotless [AND] broad-minded [AND] impatient [IMPLY] cooperative [PERIOD]
spotless [AND] worrisome [IMPLY] versatile [PERIOD]
cooperative [AND] inexpensive [AND] broad-minded [IMPLY] worrisome [PERIOD]
uptight [AND] worrisome [IMPLY] spotless [PERIOD]
impatient [AND] innocent [IMPLY] uptight [PERIOD]
selfish [AND] versatile [AND] polite [IMPLY] worrisome [PERIOD]
hurt [IMPLY] loving [PERIOD]
hurt [AND] loving [IMPLY] uptight [PERIOD]
innocent [IMPLY] loving [PERIOD]
cooperative [AND] uptight [AND] loving [IMPLY] innocent [PERIOD]
cooperative [IMPLY] hurt [PERIOD]
spotless [AND] cooperative [IMPLY] impatient [PERIOD]
uptight [AND] impatient [AND] loving [IMPLY] worrisome [PERIOD]
polite [AND] worrisome [AND] inexpensive [IMPLY] spotless [PERIOD]
selfish [IMPLY] polite [PERIOD]
versatile [AND] hurt [IMPLY] cooperative [PERIOD]
spotless [AND] worrisome [IMPLY] broad-minded [PERIOD]
loving [AND] hurt [AND] selfish [IMPLY] spotless [PERIOD]
innocent [AND] loving [AND] uptight [IMPLY] selfish [PERIOD]
loving [AND] cooperative [IMPLY] versatile [PERIOD]
impatient [AND] selfish [AND] broad-minded [IMPLY] worrisome [PERIOD]
worrisome [AND] impatient [AND] hurt [IMPLY] loving [PERIOD]
cooperative [AND] inexpensive [IMPLY] versatile [PERIOD]
broad-minded [AND] cooperative [AND] spotless [IMPLY] polite [PERIOD]
spotless [AND] inexpensive [AND] versatile [IMPLY] cooperative [PERIOD]
hurt [AND] inexpensive [AND] impatient [IMPLY] polite [PERIOD]
uptight [AND] innocent [AND] hurt [IMPLY] loving [PERIOD]
broad-minded [IMPLY] spotless [PERIOD]
cooperative [AND] versatile [IMPLY] inexpensive [PERIOD]
broad-minded [AND] polite [AND] loving [IMPLY] spotless [PERIOD]
loving [IMPLY] broad-minded [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   Cannot apply rule “spotless ∧ broad-minded ∧ impatient ⇒ cooperative” because missing: spotless, broad-minded, impatient.
   Cannot apply rule “versatile ∧ hurt ⇒ cooperative” because missing: versatile, hurt.
   Cannot apply rule “spotless ∧ inexpensive ∧ versatile ⇒ cooperative” because missing: spotless, inexpensive, versatile.
",0,3
"Facts:  Alice is unpleasant [PERIOD] Alice is powerful [PERIOD] Alice is pessimistic [PERIOD]
Rules:
anxious [AND] mean [IMPLY] excited [PERIOD]
anxious [AND] rational [IMPLY] pessimistic [PERIOD]
agreeable [AND] pessimistic [AND] scared [IMPLY] rational [PERIOD]
scared [AND] excited [AND] mean [IMPLY] unpleasant [PERIOD]
scared [AND] distinct [IMPLY] excited [PERIOD]
powerful [AND] tired [AND] stormy [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] distinct [PERIOD]
anxious [AND] mean [IMPLY] stormy [PERIOD]
powerful [AND] rational [AND] stormy [IMPLY] distinct [PERIOD]
powerful [IMPLY] anxious [PERIOD]
powerful [AND] mean [AND] stormy [IMPLY] unpleasant [PERIOD]
scared [IMPLY] powerful [PERIOD]
anxious [AND] rational [AND] powerful [IMPLY] stormy [PERIOD]
anxious [AND] pessimistic [AND] stormy [IMPLY] rational [PERIOD]
stormy [AND] rational [IMPLY] agreeable [PERIOD]
anxious [AND] rational [IMPLY] powerful [PERIOD]
tired [AND] stormy [AND] excited [IMPLY] mean [PERIOD]
agreeable [AND] rational [IMPLY] mean [PERIOD]
stormy [AND] scared [AND] anxious [IMPLY] tired [PERIOD]
agreeable [AND] tired [IMPLY] powerful [PERIOD]
stormy [AND] powerful [IMPLY] tired [PERIOD]
unpleasant [AND] anxious [IMPLY] agreeable [PERIOD]
Query: Alice is tired [PERIOD]","Proof chain:
   powerful ⇒ anxious
   Cannot apply rule “stormy ∧ scared ∧ anxious ⇒ tired” because missing: stormy, scared.
   Cannot apply rule “stormy ∧ powerful ⇒ tired” because missing: stormy.
",0,3
"Facts:  Alice is nervous [PERIOD]
Rules:
confused [IMPLY] mysterious [PERIOD]
mysterious [AND] nervous [AND] confused [IMPLY] talkative [PERIOD]
tired [AND] talkative [IMPLY] mysterious [PERIOD]
dishonest [IMPLY] confused [PERIOD]
tired [AND] confused [IMPLY] talkative [PERIOD]
talkative [AND] dishonest [AND] mysterious [IMPLY] confused [PERIOD]
talkative [AND] dishonest [IMPLY] nervous [PERIOD]
confused [IMPLY] dishonest [PERIOD]
talkative [AND] dishonest [AND] tired [IMPLY] mysterious [PERIOD]
dishonest [AND] tired [AND] nervous [IMPLY] talkative [PERIOD]
tired [AND] mysterious [AND] talkative [IMPLY] dishonest [PERIOD]
nervous [IMPLY] tired [PERIOD]
mysterious [IMPLY] tired [PERIOD]
mysterious [AND] confused [IMPLY] talkative [PERIOD]
nervous [AND] confused [IMPLY] talkative [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “mysterious ∧ nervous ∧ confused ⇒ talkative” because missing: mysterious, confused.
   nervous ⇒ tired
   Cannot apply rule “tired ∧ confused ⇒ talkative” because missing: confused.
   nervous ⇒ tired
   Cannot apply rule “dishonest ∧ tired ∧ nervous ⇒ talkative” because missing: dishonest.
   Cannot apply rule “mysterious ∧ confused ⇒ talkative” because missing: mysterious, confused.
   Cannot apply rule “nervous ∧ confused ⇒ talkative” because missing: confused.
",0,7
"Facts: 
Rules:
different [AND] gifted [AND] plain [IMPLY] outstanding [PERIOD]
wrong [IMPLY] long [PERIOD]
bored [AND] fine [AND] wandering [IMPLY] disobedient [PERIOD]
gifted [AND] different [IMPLY] bored [PERIOD]
worried [AND] disobedient [IMPLY] homely [PERIOD]
enchanting [AND] different [AND] clumsy [IMPLY] inquisitive [PERIOD]
cooperative [IMPLY] wandering [PERIOD]
exuberant [AND] fine [IMPLY] bored [PERIOD]
silly [IMPLY] cooperative [PERIOD]
confident [IMPLY] popular [PERIOD]
gifted [AND] homely [AND] silly [IMPLY] fine [PERIOD]
witty [AND] disobedient [IMPLY] gifted [PERIOD]
confident [IMPLY] enchanting [PERIOD]
plain [AND] bored [IMPLY] silly [PERIOD]
worried [AND] confident [AND] wandering [IMPLY] cooperative [PERIOD]
outstanding [AND] plain [IMPLY] wandering [PERIOD]
bossy [AND] outstanding [AND] supportive [IMPLY] homely [PERIOD]
inquisitive [AND] witty [IMPLY] average [PERIOD]
tidy [IMPLY] silly [PERIOD]
disobedient [IMPLY] fine [PERIOD]
wandering [IMPLY] exuberant [PERIOD]
bossy [IMPLY] popular [PERIOD]
jittery [AND] tidy [AND] popular [IMPLY] plain [PERIOD]
average [IMPLY] disobedient [PERIOD]
victorious [AND] average [IMPLY] different [PERIOD]
wandering [AND] homely [IMPLY] inquisitive [PERIOD]
wandering [AND] long [AND] bored [IMPLY] disobedient [PERIOD]
victorious [IMPLY] silly [PERIOD]
long [IMPLY] gifted [PERIOD]
disobedient [AND] gifted [AND] victorious [IMPLY] clumsy [PERIOD]
confident [AND] supportive [IMPLY] exuberant [PERIOD]
worried [AND] gifted [AND] wandering [IMPLY] supportive [PERIOD]
popular [IMPLY] jittery [PERIOD]
average [AND] exuberant [IMPLY] homely [PERIOD]
confident [IMPLY] long [PERIOD]
exuberant [IMPLY] popular [PERIOD]
wrong [AND] gifted [AND] silly [IMPLY] fine [PERIOD]
bossy [AND] inquisitive [AND] clumsy [IMPLY] worried [PERIOD]
different [IMPLY] homely [PERIOD]
fine [IMPLY] enchanting [PERIOD]
bored [AND] homely [IMPLY] outstanding [PERIOD]
jittery [IMPLY] homely [PERIOD]
exuberant [AND] wrong [AND] tidy [IMPLY] jittery [PERIOD]
silly [AND] long [IMPLY] inquisitive [PERIOD]
bored [IMPLY] silly [PERIOD]
wrong [IMPLY] exuberant [PERIOD]
fine [AND] enchanting [AND] silly [IMPLY] outstanding [PERIOD]
silly [AND] supportive [IMPLY] confident [PERIOD]
wrong [AND] different [IMPLY] worried [PERIOD]
homely [IMPLY] enchanting [PERIOD]
victorious [AND] tidy [IMPLY] wrong [PERIOD]
enchanting [IMPLY] plain [PERIOD]
bossy [AND] outstanding [IMPLY] disobedient [PERIOD]
average [AND] cooperative [IMPLY] supportive [PERIOD]
supportive [AND] wandering [IMPLY] disobedient [PERIOD]
homely [AND] gifted [AND] bored [IMPLY] disobedient [PERIOD]
homely [AND] confident [IMPLY] witty [PERIOD]
plain [AND] witty [IMPLY] enchanting [PERIOD]
jittery [AND] worried [IMPLY] popular [PERIOD]
disobedient [AND] average [AND] supportive [IMPLY] jittery [PERIOD]
worried [AND] exuberant [AND] silly [IMPLY] gifted [PERIOD]
confident [IMPLY] fine [PERIOD]
cooperative [AND] jittery [AND] clumsy [IMPLY] popular [PERIOD]
popular [AND] inquisitive [AND] homely [IMPLY] clumsy [PERIOD]
homely [AND] fine [IMPLY] witty [PERIOD]
outstanding [AND] confident [AND] supportive [IMPLY] worried [PERIOD]
plain [AND] wrong [AND] average [IMPLY] silly [PERIOD]
wandering [AND] different [IMPLY] supportive [PERIOD]
tidy [IMPLY] worried [PERIOD]
confident [AND] long [AND] average [IMPLY] tidy [PERIOD]
plain [AND] clumsy [AND] cooperative [IMPLY] homely [PERIOD]
disobedient [IMPLY] different [PERIOD]
jittery [AND] supportive [IMPLY] victorious [PERIOD]
witty [IMPLY] outstanding [PERIOD]
popular [AND] inquisitive [AND] gifted [IMPLY] wrong [PERIOD]
different [AND] tidy [AND] clumsy [IMPLY] jittery [PERIOD]
jittery [AND] gifted [IMPLY] exuberant [PERIOD]
clumsy [AND] different [IMPLY] gifted [PERIOD]
worried [AND] plain [AND] popular [IMPLY] witty [PERIOD]
supportive [AND] bored [AND] bossy [IMPLY] tidy [PERIOD]
bossy [AND] disobedient [AND] witty [IMPLY] inquisitive [PERIOD]
fine [AND] confident [IMPLY] clumsy [PERIOD]
supportive [IMPLY] wrong [PERIOD]
cooperative [AND] fine [IMPLY] tidy [PERIOD]
worried [AND] different [AND] jittery [IMPLY] popular [PERIOD]
clumsy [IMPLY] disobedient [PERIOD]
gifted [IMPLY] supportive [PERIOD]
worried [IMPLY] supportive [PERIOD]
inquisitive [IMPLY] popular [PERIOD]
plain [AND] outstanding [IMPLY] bored [PERIOD]
different [AND] silly [AND] bossy [IMPLY] inquisitive [PERIOD]
average [AND] cooperative [AND] long [IMPLY] jittery [PERIOD]
inquisitive [IMPLY] clumsy [PERIOD]
witty [AND] exuberant [IMPLY] cooperative [PERIOD]
inquisitive [IMPLY] plain [PERIOD]
disobedient [AND] jittery [IMPLY] wandering [PERIOD]
disobedient [IMPLY] inquisitive [PERIOD]
clumsy [AND] plain [AND] wrong [IMPLY] outstanding [PERIOD]
victorious [AND] confident [AND] fine [IMPLY] disobedient [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   Cannot apply rule “enchanting ∧ different ∧ clumsy ⇒ inquisitive” because missing: enchanting, different, clumsy.
   Cannot apply rule “wandering ∧ homely ⇒ inquisitive” because missing: wandering, homely.
   Cannot apply rule “silly ∧ long ⇒ inquisitive” because missing: silly, long.
   Cannot apply rule “bossy ∧ disobedient ∧ witty ⇒ inquisitive” because missing: bossy, disobedient, witty.
   Cannot apply rule “different ∧ silly ∧ bossy ⇒ inquisitive” because missing: different, silly, bossy.
   Cannot apply rule “disobedient ⇒ inquisitive” because missing: disobedient.
",0,6
"Facts:  Alice is exuberant [PERIOD]
Rules:
thoughtless [IMPLY] vivacious [PERIOD]
aggressive [AND] distinct [AND] thoughtless [IMPLY] vivacious [PERIOD]
distinct [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] distinct [PERIOD]
thoughtless [IMPLY] exuberant [PERIOD]
distinct [AND] thoughtless [AND] exuberant [IMPLY] aggressive [PERIOD]
thoughtless [AND] exuberant [AND] aggressive [IMPLY] distinct [PERIOD]
vivacious [IMPLY] exuberant [PERIOD]
thoughtless [AND] vivacious [AND] exuberant [IMPLY] aggressive [PERIOD]
exuberant [AND] aggressive [AND] thoughtless [IMPLY] vivacious [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   Cannot apply rule “thoughtless ⇒ vivacious” because missing: thoughtless.
   Cannot apply rule “aggressive ∧ distinct ∧ thoughtless ⇒ vivacious” because missing: aggressive, distinct, thoughtless.
   Cannot apply rule “exuberant ∧ aggressive ∧ thoughtless ⇒ vivacious” because missing: aggressive, thoughtless.
",0,3
"Facts:  Alice is clumsy [PERIOD] Alice is reserved [PERIOD] Alice is homely [PERIOD] Alice is straightforward [PERIOD]
Rules:
grumpy [AND] excited [IMPLY] beautiful [PERIOD]
witty [AND] sensible [AND] rational [IMPLY] straightforward [PERIOD]
popular [AND] clumsy [AND] rational [IMPLY] homely [PERIOD]
reserved [AND] thoughtless [AND] clumsy [IMPLY] homely [PERIOD]
messy [AND] powerful [IMPLY] sensible [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is popular [PERIOD] Alice is gorgeous [PERIOD] Alice is gleaming [PERIOD]
Rules:
condemned [AND] intellectual [IMPLY] popular [PERIOD]
condemned [AND] popular [AND] naughty [IMPLY] gorgeous [PERIOD]
gleaming [AND] condemned [AND] intellectual [IMPLY] naughty [PERIOD]
naughty [IMPLY] perfect [PERIOD]
condemned [IMPLY] average [PERIOD]
gleaming [AND] average [AND] intellectual [IMPLY] popular [PERIOD]
naughty [AND] gleaming [AND] condemned [IMPLY] popular [PERIOD]
gleaming [AND] condemned [AND] gorgeous [IMPLY] aggressive [PERIOD]
gorgeous [AND] intellectual [AND] perfect [IMPLY] aggressive [PERIOD]
perfect [AND] condemned [AND] average [IMPLY] naughty [PERIOD]
popular [AND] average [IMPLY] aggressive [PERIOD]
gorgeous [IMPLY] naughty [PERIOD]
naughty [AND] gorgeous [IMPLY] condemned [PERIOD]
perfect [AND] condemned [IMPLY] gorgeous [PERIOD]
naughty [AND] aggressive [AND] popular [IMPLY] intellectual [PERIOD]
perfect [AND] gorgeous [AND] condemned [IMPLY] average [PERIOD]
popular [AND] perfect [AND] naughty [IMPLY] average [PERIOD]
popular [AND] gorgeous [AND] condemned [IMPLY] average [PERIOD]
aggressive [AND] gorgeous [AND] average [IMPLY] perfect [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   gorgeous ⇒ naughty
   naughty ⇒ perfect
",1,2
"Facts:  Alice is scared [PERIOD] Alice is fragile [PERIOD]
Rules:
comfortable [AND] adorable [AND] courageous [IMPLY] mysterious [PERIOD]
stubborn [AND] fragile [IMPLY] embarrassed [PERIOD]
adorable [AND] witty [AND] proud [IMPLY] fine [PERIOD]
embarrassed [AND] scared [AND] mysterious [IMPLY] worrisome [PERIOD]
proud [AND] comfortable [IMPLY] fragile [PERIOD]
fragile [IMPLY] comfortable [PERIOD]
fine [IMPLY] stubborn [PERIOD]
courageous [AND] witty [IMPLY] comfortable [PERIOD]
scared [IMPLY] comfortable [PERIOD]
fragile [AND] embarrassed [AND] gleaming [IMPLY] courageous [PERIOD]
proud [AND] scared [IMPLY] fine [PERIOD]
witty [IMPLY] embarrassed [PERIOD]
worrisome [AND] adorable [IMPLY] comfortable [PERIOD]
witty [IMPLY] gleaming [PERIOD]
embarrassed [IMPLY] fragile [PERIOD]
gleaming [AND] adorable [IMPLY] worrisome [PERIOD]
courageous [AND] mysterious [IMPLY] worrisome [PERIOD]
mysterious [AND] scared [AND] witty [IMPLY] adorable [PERIOD]
mysterious [AND] courageous [AND] fine [IMPLY] gleaming [PERIOD]
witty [AND] proud [IMPLY] fine [PERIOD]
adorable [AND] fragile [IMPLY] comfortable [PERIOD]
fragile [AND] proud [IMPLY] fine [PERIOD]
worrisome [IMPLY] scared [PERIOD]
adorable [IMPLY] mysterious [PERIOD]
witty [AND] fine [IMPLY] adorable [PERIOD]
courageous [AND] mysterious [AND] scared [IMPLY] gleaming [PERIOD]
courageous [AND] witty [IMPLY] worrisome [PERIOD]
courageous [IMPLY] embarrassed [PERIOD]
worrisome [IMPLY] mysterious [PERIOD]
adorable [AND] worrisome [AND] fragile [IMPLY] embarrassed [PERIOD]
proud [AND] fragile [AND] witty [IMPLY] adorable [PERIOD]
adorable [AND] stubborn [IMPLY] proud [PERIOD]
embarrassed [IMPLY] proud [PERIOD]
scared [IMPLY] mysterious [PERIOD]
courageous [IMPLY] fine [PERIOD]
adorable [IMPLY] gleaming [PERIOD]
worrisome [AND] fine [IMPLY] courageous [PERIOD]
scared [AND] courageous [IMPLY] comfortable [PERIOD]
mysterious [AND] gleaming [AND] embarrassed [IMPLY] scared [PERIOD]
embarrassed [AND] worrisome [IMPLY] mysterious [PERIOD]
gleaming [AND] comfortable [IMPLY] worrisome [PERIOD]
adorable [AND] gleaming [AND] courageous [IMPLY] scared [PERIOD]
comfortable [IMPLY] fine [PERIOD]
fragile [IMPLY] proud [PERIOD]
stubborn [AND] gleaming [AND] embarrassed [IMPLY] worrisome [PERIOD]
fragile [AND] witty [AND] embarrassed [IMPLY] gleaming [PERIOD]
courageous [AND] proud [IMPLY] comfortable [PERIOD]
embarrassed [IMPLY] scared [PERIOD]
embarrassed [IMPLY] adorable [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   fragile ⇒ comfortable
   comfortable ⇒ fine
   fine ⇒ stubborn
   stubborn ∧ fragile ⇒ embarrassed
   scared ⇒ mysterious
   embarrassed ∧ scared ∧ mysterious ⇒ worrisome
",1,6
"Facts:  Alice is nervous [PERIOD] Alice is quaint [PERIOD] Alice is proud [PERIOD] Alice is wide-eyed [PERIOD] Alice is witty [PERIOD]
Rules:
shy [AND] wide-eyed [IMPLY] mysterious [PERIOD]
pessimistic [AND] intellectual [IMPLY] broad-minded [PERIOD]
quaint [AND] wide-eyed [IMPLY] calm [PERIOD]
popular [AND] quaint [IMPLY] gorgeous [PERIOD]
frail [AND] cooperative [IMPLY] zealous [PERIOD]
mysterious [AND] proud [IMPLY] cooperative [PERIOD]
ugliest [AND] wide-eyed [IMPLY] selfish [PERIOD]
frail [IMPLY] calm [PERIOD]
ugliest [IMPLY] confused [PERIOD]
sensible [AND] wide-eyed [AND] gleaming [IMPLY] popular [PERIOD]
witty [AND] messy [IMPLY] gorgeous [PERIOD]
gleaming [AND] dull [IMPLY] sensible [PERIOD]
nervous [IMPLY] selfish [PERIOD]
gleaming [IMPLY] dull [PERIOD]
glamorous [IMPLY] proud [PERIOD]
broad-minded [IMPLY] calm [PERIOD]
confused [AND] gorgeous [AND] pessimistic [IMPLY] gleaming [PERIOD]
zealous [IMPLY] pleasant [PERIOD]
mysterious [AND] gleaming [IMPLY] sensible [PERIOD]
zealous [IMPLY] shy [PERIOD]
confused [AND] selfish [IMPLY] friendly [PERIOD]
calm [AND] broad-minded [AND] gorgeous [IMPLY] gleaming [PERIOD]
gleaming [AND] mysterious [IMPLY] nervous [PERIOD]
glamorous [IMPLY] ugliest [PERIOD]
pessimistic [IMPLY] proud [PERIOD]
ugliest [IMPLY] nervous [PERIOD]
pessimistic [AND] condemned [IMPLY] popular [PERIOD]
proud [AND] witty [IMPLY] pessimistic [PERIOD]
condemned [AND] gorgeous [AND] popular [IMPLY] witty [PERIOD]
cooperative [IMPLY] confused [PERIOD]
gorgeous [AND] dull [IMPLY] wide-eyed [PERIOD]
pessimistic [AND] zealous [AND] nervous [IMPLY] shy [PERIOD]
bright [AND] dull [AND] quaint [IMPLY] condemned [PERIOD]
cooperative [AND] witty [IMPLY] pleasant [PERIOD]
condemned [AND] popular [AND] calm [IMPLY] pleasant [PERIOD]
ugliest [AND] intellectual [IMPLY] sensible [PERIOD]
zealous [IMPLY] sensible [PERIOD]
nervous [IMPLY] glamorous [PERIOD]
pleasant [AND] glamorous [AND] pessimistic [IMPLY] friendly [PERIOD]
intellectual [IMPLY] wide-eyed [PERIOD]
bright [IMPLY] mysterious [PERIOD]
popular [AND] quaint [AND] zealous [IMPLY] cooperative [PERIOD]
nervous [AND] frantic [IMPLY] gleaming [PERIOD]
friendly [IMPLY] wide-eyed [PERIOD]
gleaming [AND] frantic [AND] intellectual [IMPLY] messy [PERIOD]
zealous [AND] dull [IMPLY] proud [PERIOD]
nervous [AND] mysterious [IMPLY] calm [PERIOD]
witty [IMPLY] dull [PERIOD]
quaint [AND] gorgeous [IMPLY] frantic [PERIOD]
condemned [IMPLY] wide-eyed [PERIOD]
zealous [AND] calm [AND] gorgeous [IMPLY] popular [PERIOD]
broad-minded [AND] dull [IMPLY] popular [PERIOD]
nervous [AND] frantic [AND] dull [IMPLY] mysterious [PERIOD]
calm [AND] ugliest [IMPLY] dull [PERIOD]
frantic [AND] pessimistic [IMPLY] condemned [PERIOD]
friendly [AND] pessimistic [IMPLY] frantic [PERIOD]
condemned [AND] dull [AND] pleasant [IMPLY] quaint [PERIOD]
calm [IMPLY] quaint [PERIOD]
cooperative [AND] broad-minded [AND] pleasant [IMPLY] wide-eyed [PERIOD]
shy [AND] broad-minded [IMPLY] frantic [PERIOD]
gleaming [IMPLY] witty [PERIOD]
wide-eyed [AND] proud [AND] confused [IMPLY] intellectual [PERIOD]
intellectual [AND] friendly [IMPLY] messy [PERIOD]
shy [AND] glamorous [AND] friendly [IMPLY] bright [PERIOD]
intellectual [AND] friendly [IMPLY] frail [PERIOD]
gorgeous [AND] broad-minded [IMPLY] calm [PERIOD]
proud [AND] bright [IMPLY] mysterious [PERIOD]
frantic [IMPLY] proud [PERIOD]
confused [AND] selfish [IMPLY] bright [PERIOD]
mysterious [AND] bright [AND] quaint [IMPLY] glamorous [PERIOD]
popular [AND] messy [AND] bright [IMPLY] gleaming [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   nervous ⇒ glamorous
   glamorous ⇒ ugliest
   ugliest ⇒ confused
",1,3
"Facts:  Alice is elegant [PERIOD]
Rules:
thoughtless [AND] intellectual [AND] bright [IMPLY] elegant [PERIOD]
pessimistic [IMPLY] bright [PERIOD]
frightened [AND] courageous [AND] bad-tempered [IMPLY] pessimistic [PERIOD]
pessimistic [AND] thoughtless [IMPLY] selfish [PERIOD]
thoughtless [AND] frightened [AND] selfish [IMPLY] elegant [PERIOD]
pessimistic [AND] zealous [AND] elegant [IMPLY] courageous [PERIOD]
zealous [AND] elegant [IMPLY] selfish [PERIOD]
intellectual [AND] elegant [IMPLY] frightened [PERIOD]
frightened [AND] zealous [AND] bright [IMPLY] intellectual [PERIOD]
pessimistic [AND] bright [AND] thoughtless [IMPLY] intellectual [PERIOD]
selfish [AND] elegant [IMPLY] bright [PERIOD]
bright [AND] courageous [AND] zealous [IMPLY] frightened [PERIOD]
intellectual [AND] zealous [IMPLY] bad-tempered [PERIOD]
intellectual [AND] elegant [IMPLY] bright [PERIOD]
frightened [IMPLY] wandering [PERIOD]
zealous [IMPLY] courageous [PERIOD]
intellectual [AND] bad-tempered [AND] pessimistic [IMPLY] elegant [PERIOD]
frightened [IMPLY] pessimistic [PERIOD]
bright [AND] zealous [AND] pessimistic [IMPLY] courageous [PERIOD]
frightened [AND] elegant [IMPLY] selfish [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   Cannot apply rule “frightened ∧ courageous ∧ bad-tempered ⇒ pessimistic” because missing: frightened, courageous, bad-tempered.
   Cannot apply rule “frightened ⇒ pessimistic” because missing: frightened.
",0,2
"Facts:  Alice is ambitious [PERIOD] Alice is crowded [PERIOD] Alice is loving [PERIOD]
Rules:
frantic [IMPLY] dull [PERIOD]
proud [AND] inquisitive [IMPLY] rude [PERIOD]
unpleasant [IMPLY] crowded [PERIOD]
shy [AND] ambitious [IMPLY] crowded [PERIOD]
frantic [AND] ambitious [IMPLY] confident [PERIOD]
dishonest [IMPLY] muddy [PERIOD]
loving [AND] crowded [IMPLY] shy [PERIOD]
frightened [AND] proud [IMPLY] aggressive [PERIOD]
dull [AND] aggressive [IMPLY] unpleasant [PERIOD]
ambitious [IMPLY] dull [PERIOD]
shy [IMPLY] rude [PERIOD]
anxious [AND] dishonest [IMPLY] frantic [PERIOD]
aggressive [IMPLY] inquisitive [PERIOD]
aggressive [AND] dishonest [IMPLY] frantic [PERIOD]
inquisitive [AND] loving [IMPLY] unpleasant [PERIOD]
inquisitive [AND] frantic [IMPLY] ambitious [PERIOD]
frantic [AND] crowded [AND] rude [IMPLY] grumpy [PERIOD]
aggressive [AND] muddy [IMPLY] confident [PERIOD]
muddy [AND] rude [IMPLY] crowded [PERIOD]
crowded [AND] unpleasant [IMPLY] loving [PERIOD]
reserved [AND] frantic [IMPLY] rude [PERIOD]
confident [AND] frightened [AND] proud [IMPLY] loving [PERIOD]
muddy [AND] shy [AND] proud [IMPLY] frightened [PERIOD]
crowded [IMPLY] shy [PERIOD]
ambitious [IMPLY] aggressive [PERIOD]
crowded [AND] shy [IMPLY] inquisitive [PERIOD]
crowded [AND] confident [AND] muddy [IMPLY] anxious [PERIOD]
unpleasant [AND] frightened [IMPLY] confident [PERIOD]
frightened [AND] reserved [IMPLY] shy [PERIOD]
dishonest [AND] muddy [IMPLY] loving [PERIOD]
anxious [AND] frantic [IMPLY] shy [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   crowded ⇒ shy
",1,1
"Facts:  Alice is comfortable [PERIOD] Alice is pessimistic [PERIOD] Alice is tense [PERIOD] Alice is helpful [PERIOD]
Rules:
inexpensive [AND] aggressive [IMPLY] bored [PERIOD]
gorgeous [AND] wandering [IMPLY] fragile [PERIOD]
troubled [AND] frightened [AND] fancy [IMPLY] bored [PERIOD]
wandering [IMPLY] pessimistic [PERIOD]
talented [AND] innocent [IMPLY] frightened [PERIOD]
fancy [AND] fragile [IMPLY] inexpensive [PERIOD]
tame [AND] fancy [IMPLY] inexpensive [PERIOD]
strange [AND] comfortable [AND] tense [IMPLY] shiny [PERIOD]
frantic [AND] fancy [IMPLY] tense [PERIOD]
innocent [AND] inexpensive [AND] troubled [IMPLY] tidy [PERIOD]
tame [AND] homely [AND] inexpensive [IMPLY] tense [PERIOD]
inexpensive [IMPLY] helpful [PERIOD]
wandering [IMPLY] bored [PERIOD]
pessimistic [AND] talkative [IMPLY] fancy [PERIOD]
talkative [AND] ugliest [IMPLY] fancy [PERIOD]
tense [AND] helpful [IMPLY] gorgeous [PERIOD]
gorgeous [AND] shiny [AND] aggressive [IMPLY] tense [PERIOD]
aggressive [AND] innocent [AND] homely [IMPLY] tense [PERIOD]
fancy [IMPLY] gorgeous [PERIOD]
innocent [AND] frantic [IMPLY] pessimistic [PERIOD]
innocent [IMPLY] inexpensive [PERIOD]
troubled [AND] frightened [IMPLY] pessimistic [PERIOD]
wandering [AND] shiny [AND] aggressive [IMPLY] fragile [PERIOD]
wandering [AND] inexpensive [IMPLY] troubled [PERIOD]
ugliest [AND] gorgeous [AND] innocent [IMPLY] fragile [PERIOD]
fancy [AND] aggressive [IMPLY] shiny [PERIOD]
pessimistic [IMPLY] ugliest [PERIOD]
wandering [AND] tidy [IMPLY] homely [PERIOD]
tame [IMPLY] helpful [PERIOD]
frantic [AND] comfortable [IMPLY] innocent [PERIOD]
shiny [IMPLY] homely [PERIOD]
troubled [IMPLY] talkative [PERIOD]
fancy [AND] comfortable [IMPLY] shiny [PERIOD]
aggressive [AND] innocent [AND] fancy [IMPLY] shiny [PERIOD]
troubled [AND] talkative [AND] ugliest [IMPLY] frightened [PERIOD]
wandering [AND] bored [AND] talented [IMPLY] fragile [PERIOD]
gorgeous [AND] inexpensive [AND] fragile [IMPLY] shiny [PERIOD]
homely [AND] helpful [AND] talented [IMPLY] talkative [PERIOD]
troubled [IMPLY] frightened [PERIOD]
fancy [IMPLY] shiny [PERIOD]
aggressive [IMPLY] helpful [PERIOD]
frantic [AND] wandering [AND] frightened [IMPLY] strange [PERIOD]
aggressive [AND] talented [AND] frightened [IMPLY] wandering [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   tense ∧ helpful ⇒ gorgeous
   Cannot apply rule “gorgeous ∧ wandering ⇒ fragile” because missing: wandering.
   Cannot apply rule “wandering ∧ shiny ∧ aggressive ⇒ fragile” because missing: wandering, shiny, aggressive.
   pessimistic ⇒ ugliest
   tense ∧ helpful ⇒ gorgeous
   Cannot apply rule “ugliest ∧ gorgeous ∧ innocent ⇒ fragile” because missing: innocent.
   Cannot apply rule “wandering ∧ bored ∧ talented ⇒ fragile” because missing: wandering, bored, talented.
",0,7
"Facts:  Alice is diplomatic [PERIOD] Alice is cooperative [PERIOD] Alice is attractive [PERIOD]
Rules:
aggressive [AND] cooperative [AND] plain [IMPLY] diplomatic [PERIOD]
plain [AND] diplomatic [IMPLY] attractive [PERIOD]
aggressive [AND] plain [IMPLY] cooperative [PERIOD]
aggressive [IMPLY] plain [PERIOD]
attractive [AND] cooperative [IMPLY] diplomatic [PERIOD]
aggressive [AND] attractive [IMPLY] cooperative [PERIOD]
diplomatic [IMPLY] plain [PERIOD]
attractive [AND] aggressive [AND] plain [IMPLY] cooperative [PERIOD]
plain [IMPLY] cooperative [PERIOD]
cooperative [AND] plain [AND] diplomatic [IMPLY] attractive [PERIOD]
diplomatic [IMPLY] aggressive [PERIOD]
cooperative [AND] plain [IMPLY] attractive [PERIOD]
diplomatic [AND] aggressive [IMPLY] attractive [PERIOD]
plain [AND] diplomatic [IMPLY] cooperative [PERIOD]
diplomatic [AND] attractive [AND] plain [IMPLY] cooperative [PERIOD]
diplomatic [AND] cooperative [IMPLY] aggressive [PERIOD]
cooperative [IMPLY] diplomatic [PERIOD]
attractive [IMPLY] aggressive [PERIOD]
aggressive [AND] diplomatic [AND] attractive [IMPLY] cooperative [PERIOD]
cooperative [AND] aggressive [AND] attractive [IMPLY] diplomatic [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is exuberant [PERIOD]
Rules:
old-fashioned [AND] stubborn [AND] uptight [IMPLY] silly [PERIOD]
old-fashioned [AND] uptight [IMPLY] helpless [PERIOD]
exuberant [IMPLY] helpless [PERIOD]
stubborn [AND] helpless [AND] old-fashioned [IMPLY] silly [PERIOD]
exuberant [IMPLY] old-fashioned [PERIOD]
old-fashioned [IMPLY] stubborn [PERIOD]
silly [AND] stubborn [IMPLY] old-fashioned [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   exuberant ⇒ old-fashioned
   old-fashioned ⇒ stubborn
   exuberant ⇒ helpless
   exuberant ⇒ old-fashioned
   stubborn ∧ helpless ∧ old-fashioned ⇒ silly
",1,5
"Facts:  Alice is talkative [PERIOD] Alice is inquisitive [PERIOD] Alice is nervous [PERIOD] Alice is thoughtless [PERIOD] Alice is friendly [PERIOD] Alice is muddy [PERIOD] Alice is disobedient [PERIOD]
Rules:
anxious [AND] proud [AND] frightened [IMPLY] hurt [PERIOD]
thoughtless [AND] fragile [IMPLY] witty [PERIOD]
ugly [AND] blushing [AND] famous [IMPLY] weary [PERIOD]
stubborn [AND] anxious [IMPLY] clean [PERIOD]
wide-eyed [IMPLY] ugly [PERIOD]
friendly [IMPLY] spotless [PERIOD]
ambitious [AND] hurt [IMPLY] disobedient [PERIOD]
stubborn [AND] wide-eyed [AND] impartial [IMPLY] friendly [PERIOD]
inquisitive [AND] embarrassed [IMPLY] combative [PERIOD]
spotless [AND] impartial [IMPLY] ambitious [PERIOD]
muddy [AND] famous [AND] witty [IMPLY] nervous [PERIOD]
fragile [AND] disobedient [AND] hilarious [IMPLY] long [PERIOD]
blushing [IMPLY] condemned [PERIOD]
thoughtless [AND] weary [IMPLY] impartial [PERIOD]
wide-eyed [IMPLY] muddy [PERIOD]
stubborn [IMPLY] witty [PERIOD]
famous [AND] friendly [IMPLY] thoughtful [PERIOD]
muddy [AND] blushing [AND] impartial [IMPLY] condemned [PERIOD]
wide-eyed [AND] ambitious [AND] thoughtless [IMPLY] friendly [PERIOD]
muddy [AND] talkative [IMPLY] wide-eyed [PERIOD]
hilarious [IMPLY] thoughtless [PERIOD]
frightened [AND] anxious [AND] long [IMPLY] hilarious [PERIOD]
anxious [IMPLY] impartial [PERIOD]
thoughtless [AND] talkative [IMPLY] famous [PERIOD]
ugly [AND] hilarious [AND] talkative [IMPLY] anxious [PERIOD]
anxious [IMPLY] clean [PERIOD]
ugly [IMPLY] stubborn [PERIOD]
ambitious [IMPLY] fragile [PERIOD]
famous [AND] stubborn [IMPLY] proud [PERIOD]
proud [IMPLY] muddy [PERIOD]
friendly [IMPLY] disobedient [PERIOD]
blushing [AND] nervous [IMPLY] disobedient [PERIOD]
disobedient [AND] impartial [AND] condemned [IMPLY] witty [PERIOD]
fragile [AND] inquisitive [AND] talkative [IMPLY] ambitious [PERIOD]
muddy [AND] disobedient [AND] frightened [IMPLY] spotless [PERIOD]
muddy [AND] fragile [AND] weary [IMPLY] long [PERIOD]
ugliest [IMPLY] famous [PERIOD]
anxious [IMPLY] friendly [PERIOD]
combative [IMPLY] weary [PERIOD]
talkative [AND] thoughtful [IMPLY] combative [PERIOD]
hurt [AND] fragile [IMPLY] disobedient [PERIOD]
anxious [AND] hurt [IMPLY] proud [PERIOD]
inquisitive [AND] famous [IMPLY] weary [PERIOD]
hurt [AND] anxious [AND] blushing [IMPLY] talkative [PERIOD]
fragile [IMPLY] muddy [PERIOD]
blushing [AND] fragile [IMPLY] friendly [PERIOD]
clean [IMPLY] friendly [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   thoughtless ∧ talkative ⇒ famous
   inquisitive ∧ famous ⇒ weary
   thoughtless ∧ weary ⇒ impartial
",1,3
"Facts:  Alice is distinct [PERIOD] Alice is tame [PERIOD] Alice is lonely [PERIOD] Alice is comfortable [PERIOD] Alice is spotless [PERIOD]
Rules:
distinct [AND] tame [AND] exuberant [IMPLY] tidy [PERIOD]
tidy [IMPLY] calm [PERIOD]
exuberant [AND] elated [IMPLY] weary [PERIOD]
mysterious [AND] tidy [IMPLY] elated [PERIOD]
exuberant [IMPLY] distinct [PERIOD]
spotless [AND] exuberant [AND] friendly [IMPLY] tame [PERIOD]
friendly [IMPLY] distinct [PERIOD]
plain [IMPLY] calm [PERIOD]
nervous [AND] serious [AND] spotless [IMPLY] tidy [PERIOD]
tender [IMPLY] plain [PERIOD]
friendly [AND] lonely [AND] tender [IMPLY] tidy [PERIOD]
plain [AND] friendly [AND] mysterious [IMPLY] calm [PERIOD]
exuberant [AND] calm [IMPLY] tame [PERIOD]
comfortable [IMPLY] lonely [PERIOD]
silly [IMPLY] nervous [PERIOD]
mysterious [AND] spotless [AND] plain [IMPLY] calm [PERIOD]
nervous [IMPLY] mysterious [PERIOD]
serious [IMPLY] lonely [PERIOD]
tame [AND] vivacious [IMPLY] tender [PERIOD]
tame [IMPLY] tidy [PERIOD]
distinct [AND] friendly [AND] tame [IMPLY] tidy [PERIOD]
mysterious [AND] vivacious [IMPLY] serious [PERIOD]
calm [AND] famous [IMPLY] tame [PERIOD]
weary [AND] vivacious [AND] elated [IMPLY] lonely [PERIOD]
perfect [IMPLY] tame [PERIOD]
mysterious [IMPLY] lonely [PERIOD]
perfect [AND] exuberant [AND] comfortable [IMPLY] distinct [PERIOD]
elated [IMPLY] silly [PERIOD]
silly [AND] elated [AND] exuberant [IMPLY] tame [PERIOD]
plain [AND] elated [IMPLY] calm [PERIOD]
mysterious [AND] tender [IMPLY] tidy [PERIOD]
nervous [IMPLY] lonely [PERIOD]
comfortable [IMPLY] tidy [PERIOD]
tender [AND] lonely [AND] distinct [IMPLY] comfortable [PERIOD]
friendly [AND] distinct [AND] tidy [IMPLY] silly [PERIOD]
mysterious [AND] friendly [AND] plain [IMPLY] famous [PERIOD]
tidy [AND] stormy [AND] plain [IMPLY] spotless [PERIOD]
lonely [AND] spotless [IMPLY] friendly [PERIOD]
friendly [AND] weary [AND] famous [IMPLY] lonely [PERIOD]
exuberant [AND] nervous [AND] silly [IMPLY] plain [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   lonely ∧ spotless ⇒ friendly
   comfortable ⇒ tidy
   friendly ∧ distinct ∧ tidy ⇒ silly
   silly ⇒ nervous
   nervous ⇒ mysterious
",1,5
"Facts:  Alice is innocent [PERIOD] Alice is cruel [PERIOD] Alice is clumsy [PERIOD] Alice is versatile [PERIOD] Alice is joyous [PERIOD] Alice is hypocritical [PERIOD]
Rules:
excited [AND] tidy [IMPLY] different [PERIOD]
condemned [AND] pessimistic [AND] different [IMPLY] clumsy [PERIOD]
smart [IMPLY] gleaming [PERIOD]
shiny [AND] tidy [AND] elegant [IMPLY] versatile [PERIOD]
vivacious [IMPLY] popular [PERIOD]
hypocritical [IMPLY] lonely [PERIOD]
popular [AND] tidy [IMPLY] excited [PERIOD]
modern [AND] versatile [AND] pessimistic [IMPLY] innocent [PERIOD]
shiny [AND] selfish [IMPLY] versatile [PERIOD]
modern [AND] inexpensive [IMPLY] vivacious [PERIOD]
tidy [IMPLY] crowded [PERIOD]
modern [AND] different [IMPLY] homely [PERIOD]
pessimistic [AND] smart [AND] agreeable [IMPLY] innocent [PERIOD]
ugly [AND] agreeable [AND] clumsy [IMPLY] excited [PERIOD]
selfish [AND] attractive [AND] homely [IMPLY] smart [PERIOD]
lonely [IMPLY] confused [PERIOD]
excited [AND] popular [AND] different [IMPLY] condemned [PERIOD]
different [IMPLY] gorgeous [PERIOD]
courageous [AND] gorgeous [IMPLY] enchanting [PERIOD]
shiny [IMPLY] different [PERIOD]
elegant [IMPLY] gorgeous [PERIOD]
popular [IMPLY] vivacious [PERIOD]
courageous [AND] innocent [IMPLY] tidy [PERIOD]
vivacious [AND] selfish [IMPLY] cruel [PERIOD]
vivacious [IMPLY] lonely [PERIOD]
different [IMPLY] elegant [PERIOD]
enchanting [AND] versatile [IMPLY] pessimistic [PERIOD]
inexpensive [IMPLY] lonely [PERIOD]
crowded [AND] clumsy [AND] pessimistic [IMPLY] agreeable [PERIOD]
hypocritical [AND] shiny [IMPLY] ugly [PERIOD]
joyous [IMPLY] hypocritical [PERIOD]
tidy [IMPLY] confused [PERIOD]
cruel [AND] enchanting [IMPLY] clumsy [PERIOD]
elegant [IMPLY] innocent [PERIOD]
modern [AND] vivacious [IMPLY] gleaming [PERIOD]
smart [AND] popular [IMPLY] elegant [PERIOD]
excited [IMPLY] smart [PERIOD]
inexpensive [AND] joyous [AND] homely [IMPLY] pessimistic [PERIOD]
excited [AND] shiny [IMPLY] gleaming [PERIOD]
crowded [AND] versatile [IMPLY] hypocritical [PERIOD]
homely [IMPLY] different [PERIOD]
agreeable [IMPLY] cruel [PERIOD]
smart [AND] excited [AND] popular [IMPLY] gleaming [PERIOD]
popular [AND] shiny [IMPLY] versatile [PERIOD]
gleaming [AND] attractive [AND] different [IMPLY] excited [PERIOD]
lonely [IMPLY] modern [PERIOD]
courageous [AND] innocent [IMPLY] condemned [PERIOD]
smart [AND] courageous [AND] modern [IMPLY] gleaming [PERIOD]
Query: Alice is clumsy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is supportive [PERIOD] Alice is amused [PERIOD] Alice is tender [PERIOD] Alice is condemned [PERIOD] Alice is diplomatic [PERIOD] Alice is polite [PERIOD] Alice is calm [PERIOD] Alice is tired [PERIOD] Alice is witty [PERIOD] Alice is famous [PERIOD] Alice is uptight [PERIOD]
Rules:
loving [AND] frantic [IMPLY] troubled [PERIOD]
quaint [AND] supportive [AND] scared [IMPLY] dull [PERIOD]
calm [AND] inexpensive [IMPLY] ugliest [PERIOD]
loving [AND] precious [IMPLY] ugliest [PERIOD]
enchanting [AND] tame [AND] horrible [IMPLY] loving [PERIOD]
scared [AND] bad-tempered [IMPLY] dull [PERIOD]
condemned [AND] famous [IMPLY] ugliest [PERIOD]
quaint [AND] dull [AND] amused [IMPLY] condemned [PERIOD]
calm [IMPLY] precious [PERIOD]
tired [AND] amused [AND] troubled [IMPLY] tender [PERIOD]
excited [AND] supportive [AND] horrible [IMPLY] amused [PERIOD]
quaint [AND] precious [AND] diplomatic [IMPLY] tender [PERIOD]
tired [AND] tame [IMPLY] supportive [PERIOD]
condemned [AND] nervous [IMPLY] calm [PERIOD]
ugliest [AND] diplomatic [AND] amused [IMPLY] troubled [PERIOD]
precious [IMPLY] amused [PERIOD]
diplomatic [IMPLY] nervous [PERIOD]
polite [IMPLY] frantic [PERIOD]
inexpensive [AND] calm [IMPLY] precious [PERIOD]
loving [AND] tired [AND] horrible [IMPLY] calm [PERIOD]
bad-tempered [AND] witty [AND] tired [IMPLY] calm [PERIOD]
bad-tempered [AND] dull [IMPLY] tense [PERIOD]
uptight [AND] tame [IMPLY] polite [PERIOD]
horrible [IMPLY] tired [PERIOD]
excited [IMPLY] quaint [PERIOD]
tired [IMPLY] tender [PERIOD]
bad-tempered [AND] dull [IMPLY] excited [PERIOD]
tired [AND] horrible [AND] calm [IMPLY] scared [PERIOD]
calm [AND] supportive [IMPLY] enchanting [PERIOD]
amused [AND] tired [AND] bad-tempered [IMPLY] polite [PERIOD]
famous [AND] bad-tempered [IMPLY] diplomatic [PERIOD]
polite [AND] tired [IMPLY] tender [PERIOD]
tense [AND] quaint [AND] diplomatic [IMPLY] frantic [PERIOD]
scared [IMPLY] famous [PERIOD]
loving [AND] witty [IMPLY] calm [PERIOD]
amused [IMPLY] quaint [PERIOD]
loving [AND] frantic [AND] nervous [IMPLY] inexpensive [PERIOD]
uptight [AND] tired [IMPLY] famous [PERIOD]
horrible [AND] excited [AND] tender [IMPLY] precious [PERIOD]
quaint [AND] famous [IMPLY] tense [PERIOD]
famous [AND] frantic [IMPLY] witty [PERIOD]
amused [AND] condemned [IMPLY] tender [PERIOD]
supportive [IMPLY] calm [PERIOD]
polite [AND] troubled [AND] quaint [IMPLY] frantic [PERIOD]
excited [IMPLY] loving [PERIOD]
witty [AND] amused [IMPLY] calm [PERIOD]
famous [AND] precious [IMPLY] amused [PERIOD]
supportive [IMPLY] amused [PERIOD]
tired [AND] loving [AND] bad-tempered [IMPLY] polite [PERIOD]
inexpensive [AND] tense [IMPLY] famous [PERIOD]
condemned [AND] enchanting [IMPLY] bad-tempered [PERIOD]
scared [IMPLY] amused [PERIOD]
nervous [AND] famous [AND] witty [IMPLY] polite [PERIOD]
ugliest [AND] condemned [IMPLY] quaint [PERIOD]
bad-tempered [IMPLY] nervous [PERIOD]
tender [IMPLY] precious [PERIOD]
dull [IMPLY] amused [PERIOD]
inexpensive [AND] frantic [IMPLY] famous [PERIOD]
horrible [AND] excited [AND] scared [IMPLY] loving [PERIOD]
polite [AND] precious [AND] calm [IMPLY] enchanting [PERIOD]
dull [AND] condemned [AND] uptight [IMPLY] polite [PERIOD]
calm [AND] quaint [AND] precious [IMPLY] tired [PERIOD]
excited [AND] witty [AND] tired [IMPLY] supportive [PERIOD]
excited [AND] bad-tempered [IMPLY] horrible [PERIOD]
amused [IMPLY] tense [PERIOD]
troubled [IMPLY] diplomatic [PERIOD]
uptight [AND] witty [AND] amused [IMPLY] nervous [PERIOD]
excited [IMPLY] supportive [PERIOD]
supportive [AND] witty [AND] nervous [IMPLY] uptight [PERIOD]
calm [IMPLY] horrible [PERIOD]
amused [AND] nervous [IMPLY] scared [PERIOD]
supportive [IMPLY] enchanting [PERIOD]
tame [IMPLY] nervous [PERIOD]
excited [AND] precious [IMPLY] scared [PERIOD]
bad-tempered [AND] uptight [AND] tender [IMPLY] supportive [PERIOD]
excited [IMPLY] famous [PERIOD]
supportive [AND] horrible [IMPLY] bad-tempered [PERIOD]
amused [AND] condemned [AND] uptight [IMPLY] frantic [PERIOD]
calm [AND] inexpensive [IMPLY] horrible [PERIOD]
enchanting [AND] diplomatic [AND] supportive [IMPLY] dull [PERIOD]
excited [AND] inexpensive [IMPLY] nervous [PERIOD]
excited [AND] horrible [AND] troubled [IMPLY] ugliest [PERIOD]
amused [AND] tense [AND] ugliest [IMPLY] quaint [PERIOD]
troubled [AND] diplomatic [IMPLY] enchanting [PERIOD]
supportive [AND] calm [AND] amused [IMPLY] tired [PERIOD]
condemned [AND] amused [AND] dull [IMPLY] enchanting [PERIOD]
amused [AND] excited [AND] tired [IMPLY] supportive [PERIOD]
condemned [AND] polite [AND] inexpensive [IMPLY] tired [PERIOD]
witty [IMPLY] loving [PERIOD]
tame [AND] inexpensive [IMPLY] nervous [PERIOD]
condemned [AND] tense [AND] dull [IMPLY] polite [PERIOD]
Query: Alice is dull [PERIOD]","Proof chain:
   calm ∧ supportive ⇒ enchanting
   enchanting ∧ diplomatic ∧ supportive ⇒ dull
",1,2
"Facts:  Alice is ugliest [PERIOD] Alice is impartial [PERIOD] Alice is amused [PERIOD]
Rules:
strange [AND] thoughtful [AND] bossy [IMPLY] amused [PERIOD]
thoughtful [AND] strange [IMPLY] amused [PERIOD]
impartial [AND] thoughtful [AND] bossy [IMPLY] ugliest [PERIOD]
amused [AND] impartial [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] messy [PERIOD]
thoughtful [AND] messy [AND] bossy [IMPLY] amused [PERIOD]
thoughtful [AND] impartial [IMPLY] bossy [PERIOD]
impartial [IMPLY] amused [PERIOD]
messy [AND] strange [AND] ugliest [IMPLY] thoughtful [PERIOD]
bossy [AND] messy [AND] amused [IMPLY] strange [PERIOD]
thoughtful [AND] messy [AND] strange [IMPLY] impartial [PERIOD]
strange [AND] bossy [IMPLY] amused [PERIOD]
messy [AND] bossy [IMPLY] impartial [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   amused ∧ impartial ⇒ thoughtful
   thoughtful ∧ impartial ⇒ bossy
   amused ∧ impartial ⇒ thoughtful
   thoughtful ⇒ messy
   bossy ∧ messy ∧ amused ⇒ strange
",1,5
"Facts: 
Rules:
tired [AND] intellectual [AND] troubled [IMPLY] enchanting [PERIOD]
clumsy [AND] old-fashioned [AND] silly [IMPLY] fearless [PERIOD]
precious [AND] good [AND] combative [IMPLY] intellectual [PERIOD]
victorious [AND] impartial [IMPLY] silly [PERIOD]
combative [IMPLY] crowded [PERIOD]
shy [IMPLY] blushing [PERIOD]
alert [AND] intellectual [IMPLY] clumsy [PERIOD]
bright [AND] shy [AND] pessimistic [IMPLY] troubled [PERIOD]
blushing [AND] alert [IMPLY] combative [PERIOD]
clumsy [AND] sincere [AND] worrisome [IMPLY] pessimistic [PERIOD]
enchanting [IMPLY] blushing [PERIOD]
rude [IMPLY] pessimistic [PERIOD]
careless [AND] helpless [AND] scared [IMPLY] fearless [PERIOD]
enchanting [AND] worrisome [AND] old-fashioned [IMPLY] shy [PERIOD]
sincere [IMPLY] disobedient [PERIOD]
troubled [AND] sincere [IMPLY] old-fashioned [PERIOD]
crowded [AND] bright [AND] pessimistic [IMPLY] old-fashioned [PERIOD]
tired [AND] enchanting [AND] fine [IMPLY] intellectual [PERIOD]
impartial [IMPLY] helpless [PERIOD]
combative [AND] old-fashioned [IMPLY] blushing [PERIOD]
victorious [IMPLY] crowded [PERIOD]
careless [AND] impatient [AND] tired [IMPLY] silly [PERIOD]
victorious [AND] good [AND] enchanting [IMPLY] tired [PERIOD]
sincere [AND] scared [IMPLY] careless [PERIOD]
careless [AND] shy [IMPLY] impatient [PERIOD]
good [IMPLY] silly [PERIOD]
witty [AND] impatient [IMPLY] rude [PERIOD]
scared [AND] fearless [IMPLY] witty [PERIOD]
victorious [IMPLY] combative [PERIOD]
helpless [AND] good [AND] precious [IMPLY] enchanting [PERIOD]
intellectual [AND] old-fashioned [AND] bright [IMPLY] careless [PERIOD]
combative [AND] disobedient [IMPLY] victorious [PERIOD]
helpless [AND] pessimistic [AND] tired [IMPLY] careless [PERIOD]
rude [IMPLY] clumsy [PERIOD]
tired [IMPLY] witty [PERIOD]
witty [AND] sincere [AND] impartial [IMPLY] pessimistic [PERIOD]
fearless [AND] intellectual [AND] worrisome [IMPLY] fine [PERIOD]
alert [AND] impatient [AND] intellectual [IMPLY] blushing [PERIOD]
blushing [AND] scared [IMPLY] enchanting [PERIOD]
scared [AND] worrisome [AND] rude [IMPLY] enchanting [PERIOD]
precious [AND] troubled [AND] careless [IMPLY] helpless [PERIOD]
old-fashioned [IMPLY] blushing [PERIOD]
rude [AND] alert [AND] combative [IMPLY] enchanting [PERIOD]
disobedient [AND] fine [AND] bright [IMPLY] clumsy [PERIOD]
careless [AND] alert [AND] shy [IMPLY] precious [PERIOD]
crowded [AND] sincere [IMPLY] fine [PERIOD]
pessimistic [IMPLY] disobedient [PERIOD]
tired [AND] troubled [AND] shy [IMPLY] bright [PERIOD]
impartial [IMPLY] careless [PERIOD]
scared [IMPLY] rude [PERIOD]
careless [IMPLY] fine [PERIOD]
good [AND] victorious [AND] combative [IMPLY] careless [PERIOD]
enchanting [AND] rude [IMPLY] bright [PERIOD]
alert [IMPLY] good [PERIOD]
helpless [IMPLY] intellectual [PERIOD]
careless [AND] witty [AND] impartial [IMPLY] impatient [PERIOD]
clumsy [IMPLY] sincere [PERIOD]
bright [AND] impartial [IMPLY] precious [PERIOD]
helpless [AND] fine [IMPLY] enchanting [PERIOD]
impatient [AND] fine [AND] pessimistic [IMPLY] tired [PERIOD]
crowded [AND] enchanting [AND] pessimistic [IMPLY] fine [PERIOD]
pessimistic [AND] bright [AND] tired [IMPLY] precious [PERIOD]
rude [IMPLY] scared [PERIOD]
sincere [IMPLY] clumsy [PERIOD]
victorious [AND] old-fashioned [AND] fine [IMPLY] troubled [PERIOD]
silly [IMPLY] troubled [PERIOD]
enchanting [AND] helpless [AND] combative [IMPLY] sincere [PERIOD]
bright [IMPLY] victorious [PERIOD]
careless [AND] rude [AND] precious [IMPLY] intellectual [PERIOD]
old-fashioned [AND] fearless [IMPLY] pessimistic [PERIOD]
old-fashioned [AND] bright [IMPLY] pessimistic [PERIOD]
fearless [AND] troubled [IMPLY] old-fashioned [PERIOD]
clumsy [IMPLY] precious [PERIOD]
worrisome [IMPLY] shy [PERIOD]
fearless [AND] scared [IMPLY] silly [PERIOD]
impatient [AND] scared [AND] clumsy [IMPLY] precious [PERIOD]
shy [AND] scared [AND] careless [IMPLY] impatient [PERIOD]
fearless [IMPLY] bright [PERIOD]
scared [AND] old-fashioned [AND] victorious [IMPLY] alert [PERIOD]
shy [AND] combative [IMPLY] worrisome [PERIOD]
witty [AND] troubled [IMPLY] silly [PERIOD]
tired [IMPLY] worrisome [PERIOD]
impartial [AND] tired [AND] intellectual [IMPLY] fine [PERIOD]
pessimistic [IMPLY] combative [PERIOD]
pessimistic [AND] clumsy [IMPLY] careless [PERIOD]
combative [AND] victorious [AND] clumsy [IMPLY] helpless [PERIOD]
enchanting [AND] crowded [AND] silly [IMPLY] bright [PERIOD]
witty [IMPLY] troubled [PERIOD]
worrisome [AND] silly [IMPLY] clumsy [PERIOD]
enchanting [IMPLY] victorious [PERIOD]
bright [AND] clumsy [AND] worrisome [IMPLY] victorious [PERIOD]
witty [IMPLY] pessimistic [PERIOD]
old-fashioned [IMPLY] fearless [PERIOD]
pessimistic [IMPLY] crowded [PERIOD]
impatient [AND] old-fashioned [AND] fearless [IMPLY] victorious [PERIOD]
victorious [AND] bright [AND] good [IMPLY] witty [PERIOD]
helpless [IMPLY] enchanting [PERIOD]
impatient [IMPLY] disobedient [PERIOD]
old-fashioned [AND] shy [AND] silly [IMPLY] rude [PERIOD]
fine [AND] blushing [IMPLY] impatient [PERIOD]
helpless [AND] fearless [AND] careless [IMPLY] scared [PERIOD]
fearless [IMPLY] precious [PERIOD]
fine [AND] fearless [AND] witty [IMPLY] blushing [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   Cannot apply rule “careless ∧ shy ⇒ impatient” because missing: careless, shy.
   Cannot apply rule “careless ∧ witty ∧ impartial ⇒ impatient” because missing: careless, witty, impartial.
   Cannot apply rule “shy ∧ scared ∧ careless ⇒ impatient” because missing: shy, scared, careless.
   Cannot apply rule “fine ∧ blushing ⇒ impatient” because missing: fine, blushing.
",0,4
"Facts:  Alice is versatile [PERIOD] Alice is vivacious [PERIOD] Alice is horrible [PERIOD] Alice is bored [PERIOD] Alice is quaint [PERIOD] Alice is broad-minded [PERIOD] Alice is adorable [PERIOD] Alice is courageous [PERIOD] Alice is sincere [PERIOD] Alice is polite [PERIOD]
Rules:
adorable [IMPLY] polite [PERIOD]
supportive [AND] bored [AND] fearless [IMPLY] broad-minded [PERIOD]
polite [IMPLY] adorable [PERIOD]
innocent [IMPLY] impartial [PERIOD]
good [AND] innocent [IMPLY] impartial [PERIOD]
friendly [IMPLY] innocent [PERIOD]
courageous [AND] broad-minded [IMPLY] innocent [PERIOD]
friendly [AND] broad-minded [AND] adorable [IMPLY] fearless [PERIOD]
supportive [AND] good [IMPLY] courageous [PERIOD]
good [IMPLY] adorable [PERIOD]
vivacious [IMPLY] broad-minded [PERIOD]
supportive [IMPLY] broad-minded [PERIOD]
sincere [AND] innocent [IMPLY] adorable [PERIOD]
good [IMPLY] vivacious [PERIOD]
quaint [AND] friendly [IMPLY] bored [PERIOD]
versatile [AND] friendly [IMPLY] adorable [PERIOD]
broad-minded [IMPLY] courageous [PERIOD]
sincere [AND] horrible [AND] courageous [IMPLY] broad-minded [PERIOD]
horrible [IMPLY] innocent [PERIOD]
fearless [IMPLY] friendly [PERIOD]
bored [AND] horrible [IMPLY] courageous [PERIOD]
good [IMPLY] mysterious [PERIOD]
innocent [AND] adorable [AND] courageous [IMPLY] impartial [PERIOD]
supportive [AND] courageous [IMPLY] polite [PERIOD]
bored [AND] versatile [AND] adorable [IMPLY] vivacious [PERIOD]
friendly [IMPLY] fearless [PERIOD]
versatile [AND] sincere [AND] horrible [IMPLY] friendly [PERIOD]
bored [IMPLY] innocent [PERIOD]
mysterious [AND] horrible [AND] bored [IMPLY] innocent [PERIOD]
innocent [IMPLY] good [PERIOD]
courageous [IMPLY] impartial [PERIOD]
quaint [AND] mysterious [AND] fearless [IMPLY] sincere [PERIOD]
impartial [IMPLY] horrible [PERIOD]
friendly [AND] broad-minded [AND] vivacious [IMPLY] polite [PERIOD]
mysterious [AND] vivacious [AND] quaint [IMPLY] friendly [PERIOD]
quaint [IMPLY] bored [PERIOD]
mysterious [AND] adorable [AND] fearless [IMPLY] supportive [PERIOD]
quaint [AND] friendly [AND] bored [IMPLY] adorable [PERIOD]
impartial [IMPLY] friendly [PERIOD]
fearless [IMPLY] vivacious [PERIOD]
polite [AND] innocent [IMPLY] fearless [PERIOD]
horrible [AND] broad-minded [AND] supportive [IMPLY] impartial [PERIOD]
adorable [AND] courageous [IMPLY] mysterious [PERIOD]
broad-minded [AND] innocent [AND] quaint [IMPLY] vivacious [PERIOD]
versatile [IMPLY] fearless [PERIOD]
horrible [AND] good [IMPLY] impartial [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
   bored ⇒ innocent
   innocent ⇒ good
",1,2
"Facts:  Alice is lucky [PERIOD] Alice is helpful [PERIOD] Alice is spotless [PERIOD] Alice is sleepy [PERIOD] Alice is bright [PERIOD] Alice is hypocritical [PERIOD] Alice is tender [PERIOD] Alice is busy [PERIOD] Alice is shiny [PERIOD] Alice is tired [PERIOD] Alice is combative [PERIOD] Alice is pessimistic [PERIOD] Alice is sensible [PERIOD]
Rules:
busy [IMPLY] quaint [PERIOD]
shy [AND] gifted [AND] impartial [IMPLY] helpful [PERIOD]
gorgeous [IMPLY] hypocritical [PERIOD]
impartial [AND] sleepy [IMPLY] tired [PERIOD]
grumpy [AND] bright [IMPLY] busy [PERIOD]
gifted [AND] shiny [IMPLY] bright [PERIOD]
tender [IMPLY] impartial [PERIOD]
sensible [IMPLY] grumpy [PERIOD]
shiny [IMPLY] sensible [PERIOD]
shy [AND] helpful [IMPLY] grumpy [PERIOD]
confused [AND] gorgeous [IMPLY] helpful [PERIOD]
gifted [IMPLY] pessimistic [PERIOD]
sensible [AND] confused [AND] combative [IMPLY] bright [PERIOD]
bright [IMPLY] shiny [PERIOD]
modern [IMPLY] busy [PERIOD]
sensible [AND] combative [AND] gifted [IMPLY] sleepy [PERIOD]
sensible [AND] pessimistic [IMPLY] messy [PERIOD]
Query: Alice is messy [PERIOD]","Proof chain:
   sensible ∧ pessimistic ⇒ messy
",1,1
"Facts:  Alice is wrong [PERIOD]
Rules:
helpless [AND] serious [IMPLY] sensible [PERIOD]
elegant [AND] versatile [IMPLY] homely [PERIOD]
versatile [IMPLY] zealous [PERIOD]
wrong [AND] homely [AND] agreeable [IMPLY] serious [PERIOD]
confused [AND] elegant [AND] versatile [IMPLY] homely [PERIOD]
gleaming [IMPLY] diplomatic [PERIOD]
diplomatic [AND] agreeable [IMPLY] versatile [PERIOD]
attentive [AND] disobedient [AND] gleaming [IMPLY] diplomatic [PERIOD]
stormy [IMPLY] homely [PERIOD]
sensible [IMPLY] versatile [PERIOD]
helpless [AND] agreeable [AND] stormy [IMPLY] zealous [PERIOD]
tidy [AND] stormy [AND] helpless [IMPLY] versatile [PERIOD]
stormy [AND] helpless [AND] wrong [IMPLY] sensible [PERIOD]
elegant [AND] serious [AND] victorious [IMPLY] diplomatic [PERIOD]
tidy [AND] versatile [AND] confused [IMPLY] gleaming [PERIOD]
homely [AND] versatile [AND] attentive [IMPLY] serious [PERIOD]
gleaming [AND] agreeable [IMPLY] straightforward [PERIOD]
elegant [AND] serious [IMPLY] agreeable [PERIOD]
agreeable [AND] serious [IMPLY] victorious [PERIOD]
diplomatic [IMPLY] victorious [PERIOD]
homely [AND] straightforward [IMPLY] elegant [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   No rule concludes “confused.”
",0,1
"Facts:  Alice is troubled [PERIOD] Alice is sincere [PERIOD] Alice is tidy [PERIOD] Alice is loving [PERIOD]
Rules:
pessimistic [AND] inquisitive [AND] loving [IMPLY] excited [PERIOD]
pessimistic [IMPLY] troubled [PERIOD]
tidy [IMPLY] inquisitive [PERIOD]
jittery [AND] pessimistic [IMPLY] loving [PERIOD]
troubled [AND] sincere [AND] jittery [IMPLY] inquisitive [PERIOD]
troubled [IMPLY] tidy [PERIOD]
jittery [AND] inquisitive [AND] sincere [IMPLY] pessimistic [PERIOD]
excited [IMPLY] loving [PERIOD]
excited [AND] tidy [AND] troubled [IMPLY] condemned [PERIOD]
excited [IMPLY] jittery [PERIOD]
jittery [AND] condemned [AND] pessimistic [IMPLY] sincere [PERIOD]
jittery [AND] troubled [IMPLY] pessimistic [PERIOD]
excited [AND] loving [IMPLY] troubled [PERIOD]
tidy [IMPLY] jittery [PERIOD]
jittery [AND] loving [IMPLY] troubled [PERIOD]
excited [AND] loving [AND] pessimistic [IMPLY] jittery [PERIOD]
inquisitive [AND] excited [IMPLY] loving [PERIOD]
jittery [AND] loving [IMPLY] sincere [PERIOD]
tidy [AND] pessimistic [IMPLY] condemned [PERIOD]
condemned [AND] troubled [AND] excited [IMPLY] inquisitive [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   tidy ⇒ jittery
   tidy ⇒ inquisitive
   jittery ∧ inquisitive ∧ sincere ⇒ pessimistic
   tidy ⇒ inquisitive
   pessimistic ∧ inquisitive ∧ loving ⇒ excited
",1,5
"Facts:  Alice is tired [PERIOD] Alice is excited [PERIOD] Alice is perfect [PERIOD] Alice is stupid [PERIOD] Alice is cute [PERIOD]
Rules:
talkative [AND] cute [AND] pleasant [IMPLY] hurt [PERIOD]
talkative [AND] dishonest [AND] perfect [IMPLY] bossy [PERIOD]
tired [AND] hurt [IMPLY] talkative [PERIOD]
mysterious [IMPLY] dull [PERIOD]
hilarious [AND] dishonest [AND] alert [IMPLY] shiny [PERIOD]
tired [AND] confused [IMPLY] crowded [PERIOD]
mysterious [AND] hilarious [IMPLY] dishonest [PERIOD]
vivacious [AND] bossy [AND] precious [IMPLY] confused [PERIOD]
tired [IMPLY] old-fashioned [PERIOD]
vivacious [AND] diplomatic [AND] bossy [IMPLY] alert [PERIOD]
smart [AND] beautiful [AND] homely [IMPLY] bossy [PERIOD]
smart [AND] bossy [AND] precious [IMPLY] shiny [PERIOD]
talkative [IMPLY] cute [PERIOD]
mysterious [AND] serious [AND] crowded [IMPLY] old-fashioned [PERIOD]
worried [IMPLY] mysterious [PERIOD]
pleasant [IMPLY] worried [PERIOD]
excited [IMPLY] precious [PERIOD]
precious [AND] hilarious [AND] diplomatic [IMPLY] dull [PERIOD]
cute [IMPLY] old-fashioned [PERIOD]
serious [IMPLY] shiny [PERIOD]
homely [IMPLY] hilarious [PERIOD]
cute [IMPLY] mysterious [PERIOD]
old-fashioned [AND] hilarious [AND] confused [IMPLY] tired [PERIOD]
confused [IMPLY] diplomatic [PERIOD]
bad-tempered [AND] dull [AND] mysterious [IMPLY] shiny [PERIOD]
confused [AND] excited [IMPLY] unpleasant [PERIOD]
talkative [AND] hilarious [IMPLY] alert [PERIOD]
excited [IMPLY] alert [PERIOD]
confused [AND] serious [AND] stupid [IMPLY] worried [PERIOD]
alert [IMPLY] tired [PERIOD]
hurt [AND] excited [AND] smart [IMPLY] worried [PERIOD]
pleasant [IMPLY] dull [PERIOD]
dishonest [AND] beautiful [AND] bad-tempered [IMPLY] homely [PERIOD]
old-fashioned [IMPLY] dull [PERIOD]
precious [AND] hurt [IMPLY] beautiful [PERIOD]
stupid [IMPLY] crowded [PERIOD]
vivacious [AND] talkative [IMPLY] bossy [PERIOD]
old-fashioned [AND] hilarious [IMPLY] talkative [PERIOD]
dull [IMPLY] cute [PERIOD]
dishonest [IMPLY] cute [PERIOD]
cute [AND] pleasant [IMPLY] agreeable [PERIOD]
dull [AND] hurt [IMPLY] precious [PERIOD]
hurt [AND] excited [IMPLY] stupid [PERIOD]
beautiful [AND] cute [AND] precious [IMPLY] dull [PERIOD]
vivacious [AND] dull [IMPLY] pleasant [PERIOD]
excited [AND] serious [AND] precious [IMPLY] shiny [PERIOD]
shiny [AND] serious [AND] perfect [IMPLY] confused [PERIOD]
dull [IMPLY] perfect [PERIOD]
mysterious [IMPLY] hurt [PERIOD]
cute [IMPLY] alert [PERIOD]
talkative [AND] tired [IMPLY] precious [PERIOD]
hurt [AND] diplomatic [AND] dishonest [IMPLY] cute [PERIOD]
hurt [IMPLY] worried [PERIOD]
precious [IMPLY] serious [PERIOD]
worried [AND] unpleasant [IMPLY] excited [PERIOD]
tired [IMPLY] hilarious [PERIOD]
serious [AND] talkative [AND] mysterious [IMPLY] stupid [PERIOD]
unpleasant [AND] cute [IMPLY] agreeable [PERIOD]
homely [IMPLY] alert [PERIOD]
bossy [IMPLY] serious [PERIOD]
hurt [AND] bossy [IMPLY] cute [PERIOD]
homely [AND] shiny [IMPLY] tired [PERIOD]
stupid [AND] crowded [IMPLY] tired [PERIOD]
alert [AND] dishonest [IMPLY] perfect [PERIOD]
dull [AND] diplomatic [AND] smart [IMPLY] tired [PERIOD]
mysterious [AND] bossy [IMPLY] stupid [PERIOD]
worried [AND] dull [AND] smart [IMPLY] bossy [PERIOD]
unpleasant [IMPLY] worried [PERIOD]
excited [AND] dishonest [IMPLY] tired [PERIOD]
hilarious [IMPLY] confused [PERIOD]
confused [IMPLY] precious [PERIOD]
mysterious [AND] perfect [IMPLY] cute [PERIOD]
crowded [IMPLY] serious [PERIOD]
serious [IMPLY] perfect [PERIOD]
excited [AND] dishonest [AND] bad-tempered [IMPLY] tired [PERIOD]
dishonest [AND] vivacious [IMPLY] talkative [PERIOD]
perfect [AND] serious [AND] hurt [IMPLY] smart [PERIOD]
homely [AND] worried [IMPLY] crowded [PERIOD]
bossy [AND] diplomatic [IMPLY] hilarious [PERIOD]
alert [AND] vivacious [IMPLY] precious [PERIOD]
beautiful [IMPLY] worried [PERIOD]
talkative [AND] dull [IMPLY] confused [PERIOD]
dull [AND] hilarious [AND] pleasant [IMPLY] unpleasant [PERIOD]
serious [IMPLY] agreeable [PERIOD]
bossy [AND] hilarious [AND] cute [IMPLY] stupid [PERIOD]
cute [AND] excited [IMPLY] worried [PERIOD]
bossy [IMPLY] pleasant [PERIOD]
shiny [IMPLY] homely [PERIOD]
excited [AND] cute [IMPLY] dishonest [PERIOD]
tired [AND] hilarious [AND] pleasant [IMPLY] crowded [PERIOD]
excited [AND] homely [IMPLY] tired [PERIOD]
alert [AND] beautiful [IMPLY] confused [PERIOD]
pleasant [IMPLY] crowded [PERIOD]
smart [IMPLY] dull [PERIOD]
confused [IMPLY] bad-tempered [PERIOD]
worried [IMPLY] homely [PERIOD]
old-fashioned [IMPLY] homely [PERIOD]
Query: Alice is smart [PERIOD]","Proof chain:
   stupid ⇒ crowded
   crowded ⇒ serious
   cute ⇒ mysterious
   mysterious ⇒ hurt
   perfect ∧ serious ∧ hurt ⇒ smart
",1,5
"Facts:  Alice is cute [PERIOD]
Rules:
attentive [AND] stormy [IMPLY] modern [PERIOD]
horrible [AND] rude [AND] tired [IMPLY] sincere [PERIOD]
gorgeous [AND] wide-eyed [AND] supportive [IMPLY] hypocritical [PERIOD]
stormy [AND] horrible [AND] supportive [IMPLY] shiny [PERIOD]
gorgeous [IMPLY] cute [PERIOD]
modern [AND] supportive [AND] attentive [IMPLY] lonely [PERIOD]
disobedient [AND] enchanting [AND] lonely [IMPLY] modern [PERIOD]
broad-minded [IMPLY] attentive [PERIOD]
messy [AND] enchanting [AND] disobedient [IMPLY] agreeable [PERIOD]
rude [AND] messy [AND] light [IMPLY] attentive [PERIOD]
wide-eyed [AND] weary [AND] enchanting [IMPLY] tired [PERIOD]
tired [AND] modern [AND] sincere [IMPLY] supportive [PERIOD]
gorgeous [AND] lonely [IMPLY] cute [PERIOD]
messy [AND] shiny [AND] thoughtful [IMPLY] hypocritical [PERIOD]
shiny [IMPLY] stormy [PERIOD]
shiny [AND] good [AND] rude [IMPLY] gorgeous [PERIOD]
hypocritical [IMPLY] lonely [PERIOD]
cute [IMPLY] lonely [PERIOD]
thoughtful [IMPLY] agreeable [PERIOD]
gorgeous [AND] broad-minded [IMPLY] modern [PERIOD]
tired [IMPLY] good [PERIOD]
thoughtful [AND] horrible [IMPLY] sincere [PERIOD]
wide-eyed [IMPLY] thoughtful [PERIOD]
hypocritical [AND] messy [AND] sincere [IMPLY] modern [PERIOD]
sincere [IMPLY] tired [PERIOD]
disobedient [AND] tired [AND] supportive [IMPLY] rude [PERIOD]
horrible [AND] modern [IMPLY] cute [PERIOD]
lonely [AND] rude [IMPLY] light [PERIOD]
sincere [AND] attentive [IMPLY] modern [PERIOD]
enchanting [IMPLY] wide-eyed [PERIOD]
light [AND] aggressive [AND] lonely [IMPLY] rude [PERIOD]
tired [AND] light [AND] aggressive [IMPLY] enchanting [PERIOD]
enchanting [AND] aggressive [AND] tired [IMPLY] modern [PERIOD]
thoughtful [AND] agreeable [IMPLY] attentive [PERIOD]
wide-eyed [IMPLY] stormy [PERIOD]
good [AND] rude [IMPLY] weary [PERIOD]
messy [AND] disobedient [AND] cute [IMPLY] modern [PERIOD]
light [AND] sincere [IMPLY] messy [PERIOD]
disobedient [AND] light [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] enchanting [PERIOD]
sincere [AND] messy [AND] modern [IMPLY] gorgeous [PERIOD]
enchanting [AND] messy [AND] agreeable [IMPLY] gorgeous [PERIOD]
disobedient [AND] gorgeous [IMPLY] good [PERIOD]
good [AND] tired [AND] sincere [IMPLY] modern [PERIOD]
fine [AND] aggressive [AND] sincere [IMPLY] cute [PERIOD]
thoughtful [IMPLY] good [PERIOD]
broad-minded [IMPLY] aggressive [PERIOD]
rude [AND] tired [IMPLY] thoughtful [PERIOD]
weary [AND] hypocritical [AND] messy [IMPLY] sincere [PERIOD]
fine [AND] good [AND] gorgeous [IMPLY] supportive [PERIOD]
thoughtful [AND] broad-minded [AND] disobedient [IMPLY] light [PERIOD]
enchanting [AND] agreeable [IMPLY] sincere [PERIOD]
tired [AND] cute [IMPLY] agreeable [PERIOD]
stormy [AND] wide-eyed [AND] tired [IMPLY] disobedient [PERIOD]
agreeable [IMPLY] modern [PERIOD]
weary [AND] wide-eyed [AND] rude [IMPLY] thoughtful [PERIOD]
cute [AND] tired [AND] good [IMPLY] shiny [PERIOD]
modern [IMPLY] disobedient [PERIOD]
tired [AND] aggressive [AND] hypocritical [IMPLY] stormy [PERIOD]
enchanting [IMPLY] hypocritical [PERIOD]
broad-minded [IMPLY] messy [PERIOD]
cute [AND] sincere [AND] hypocritical [IMPLY] thoughtful [PERIOD]
aggressive [AND] tired [AND] weary [IMPLY] shiny [PERIOD]
fine [IMPLY] attentive [PERIOD]
supportive [AND] light [AND] thoughtful [IMPLY] modern [PERIOD]
fine [AND] sincere [AND] tired [IMPLY] attentive [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ⇒ attentive” because missing: broad-minded.
   Cannot apply rule “rude ∧ messy ∧ light ⇒ attentive” because missing: rude, messy, light.
   Cannot apply rule “thoughtful ∧ agreeable ⇒ attentive” because missing: thoughtful, agreeable.
   Cannot apply rule “fine ⇒ attentive” because missing: fine.
   Cannot apply rule “fine ∧ sincere ∧ tired ⇒ attentive” because missing: fine, sincere, tired.
",0,5
"Facts:  Alice is agreeable [PERIOD] Alice is thoughtful [PERIOD] Alice is clumsy [PERIOD] Alice is frightened [PERIOD] Alice is curious [PERIOD] Alice is precious [PERIOD] Alice is careless [PERIOD]
Rules:
careless [IMPLY] thoughtful [PERIOD]
clumsy [AND] curious [AND] careless [IMPLY] tender [PERIOD]
precious [AND] agreeable [AND] curious [IMPLY] tender [PERIOD]
Query: Alice is curious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is broad-minded [PERIOD] Alice is loving [PERIOD] Alice is worried [PERIOD] Alice is blushing [PERIOD] Alice is stormy [PERIOD] Alice is agreeable [PERIOD] Alice is plain [PERIOD] Alice is zealous [PERIOD] Alice is helpless [PERIOD] Alice is straightforward [PERIOD]
Rules:
agreeable [AND] broad-minded [AND] helpless [IMPLY] zealous [PERIOD]
foolish [AND] tender [IMPLY] bossy [PERIOD]
foolish [AND] broad-minded [AND] bossy [IMPLY] blushing [PERIOD]
worried [AND] outstanding [AND] strange [IMPLY] distinct [PERIOD]
bossy [IMPLY] worried [PERIOD]
bossy [AND] helpless [AND] blushing [IMPLY] outstanding [PERIOD]
shiny [AND] helpless [AND] polite [IMPLY] outstanding [PERIOD]
strange [AND] tender [AND] broad-minded [IMPLY] zealous [PERIOD]
strange [AND] bossy [IMPLY] tender [PERIOD]
zealous [AND] dull [IMPLY] polite [PERIOD]
shiny [AND] blushing [AND] zealous [IMPLY] worried [PERIOD]
tender [IMPLY] worried [PERIOD]
bossy [AND] zealous [IMPLY] outstanding [PERIOD]
straightforward [IMPLY] blushing [PERIOD]
bossy [AND] charming [AND] strange [IMPLY] agreeable [PERIOD]
shiny [AND] straightforward [AND] bossy [IMPLY] outstanding [PERIOD]
distinct [AND] outstanding [IMPLY] stormy [PERIOD]
charming [AND] tender [IMPLY] plain [PERIOD]
shiny [IMPLY] charming [PERIOD]
loving [AND] plain [IMPLY] outstanding [PERIOD]
foolish [AND] hypocritical [AND] broad-minded [IMPLY] agreeable [PERIOD]
straightforward [AND] broad-minded [AND] outstanding [IMPLY] foolish [PERIOD]
strange [AND] hypocritical [IMPLY] foolish [PERIOD]
plain [AND] blushing [IMPLY] bossy [PERIOD]
agreeable [AND] zealous [IMPLY] loving [PERIOD]
stormy [AND] tender [AND] helpless [IMPLY] straightforward [PERIOD]
charming [IMPLY] blushing [PERIOD]
dull [AND] outstanding [IMPLY] zealous [PERIOD]
distinct [AND] stormy [AND] shiny [IMPLY] loving [PERIOD]
agreeable [AND] loving [IMPLY] strange [PERIOD]
tender [AND] dull [AND] worried [IMPLY] agreeable [PERIOD]
bossy [AND] distinct [AND] charming [IMPLY] zealous [PERIOD]
quaint [IMPLY] tender [PERIOD]
bossy [IMPLY] strange [PERIOD]
agreeable [AND] tender [AND] zealous [IMPLY] stormy [PERIOD]
distinct [AND] zealous [AND] worried [IMPLY] agreeable [PERIOD]
polite [AND] distinct [IMPLY] charming [PERIOD]
charming [AND] dull [IMPLY] straightforward [PERIOD]
hypocritical [IMPLY] quaint [PERIOD]
shiny [AND] zealous [AND] helpless [IMPLY] tender [PERIOD]
shiny [AND] helpless [AND] worried [IMPLY] outstanding [PERIOD]
worried [AND] dull [AND] helpless [IMPLY] broad-minded [PERIOD]
loving [AND] worried [AND] distinct [IMPLY] quaint [PERIOD]
straightforward [AND] polite [IMPLY] helpless [PERIOD]
bossy [IMPLY] tender [PERIOD]
stormy [AND] loving [AND] shiny [IMPLY] outstanding [PERIOD]
dull [AND] charming [IMPLY] worried [PERIOD]
blushing [IMPLY] outstanding [PERIOD]
dull [AND] worried [AND] strange [IMPLY] loving [PERIOD]
worried [AND] stormy [AND] dull [IMPLY] charming [PERIOD]
plain [AND] outstanding [IMPLY] polite [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   blushing ⇒ outstanding
   straightforward ∧ broad-minded ∧ outstanding ⇒ foolish
",1,2
"Facts:  Alice is famous [PERIOD] Alice is combative [PERIOD]
Rules:
combative [AND] scared [IMPLY] charming [PERIOD]
diplomatic [AND] stubborn [AND] foolish [IMPLY] charming [PERIOD]
stubborn [IMPLY] elated [PERIOD]
combative [AND] stubborn [IMPLY] elated [PERIOD]
combative [AND] elated [IMPLY] witty [PERIOD]
diplomatic [IMPLY] scared [PERIOD]
foolish [IMPLY] diplomatic [PERIOD]
scared [AND] witty [IMPLY] combative [PERIOD]
foolish [AND] combative [AND] confused [IMPLY] scared [PERIOD]
scared [IMPLY] famous [PERIOD]
famous [AND] elated [IMPLY] stubborn [PERIOD]
scared [AND] confused [IMPLY] diplomatic [PERIOD]
horrible [AND] diplomatic [IMPLY] combative [PERIOD]
diplomatic [IMPLY] stubborn [PERIOD]
confused [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] scared [PERIOD]
combative [AND] horrible [IMPLY] famous [PERIOD]
witty [IMPLY] confused [PERIOD]
witty [AND] combative [AND] foolish [IMPLY] confused [PERIOD]
stubborn [AND] charming [AND] foolish [IMPLY] horrible [PERIOD]
horrible [IMPLY] scared [PERIOD]
confused [AND] famous [AND] foolish [IMPLY] charming [PERIOD]
scared [AND] diplomatic [IMPLY] witty [PERIOD]
witty [IMPLY] elated [PERIOD]
horrible [IMPLY] stubborn [PERIOD]
witty [AND] stubborn [AND] elated [IMPLY] horrible [PERIOD]
diplomatic [AND] horrible [AND] elated [IMPLY] stubborn [PERIOD]
stubborn [AND] scared [AND] horrible [IMPLY] foolish [PERIOD]
witty [AND] diplomatic [AND] confused [IMPLY] stubborn [PERIOD]
witty [AND] foolish [IMPLY] famous [PERIOD]
horrible [AND] scared [IMPLY] witty [PERIOD]
horrible [AND] famous [AND] foolish [IMPLY] scared [PERIOD]
stubborn [IMPLY] famous [PERIOD]
horrible [AND] charming [AND] elated [IMPLY] stubborn [PERIOD]
diplomatic [IMPLY] witty [PERIOD]
scared [AND] witty [IMPLY] elated [PERIOD]
diplomatic [AND] horrible [IMPLY] confused [PERIOD]
foolish [AND] confused [IMPLY] famous [PERIOD]
elated [IMPLY] famous [PERIOD]
charming [AND] scared [AND] stubborn [IMPLY] famous [PERIOD]
foolish [IMPLY] elated [PERIOD]
scared [IMPLY] diplomatic [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
   Cannot apply rule “combative ∧ scared ⇒ charming” because missing: scared.
   Cannot apply rule “diplomatic ∧ stubborn ∧ foolish ⇒ charming” because missing: diplomatic, stubborn, foolish.
   Cannot apply rule “confused ∧ famous ∧ foolish ⇒ charming” because missing: confused, foolish.
",0,3
"Facts:  Alice is popular [PERIOD] Alice is tame [PERIOD]
Rules:
bad-tempered [AND] tidy [IMPLY] lucky [PERIOD]
powerful [AND] messy [AND] silly [IMPLY] cooperative [PERIOD]
powerful [IMPLY] tame [PERIOD]
bossy [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] combative [PERIOD]
talented [IMPLY] excited [PERIOD]
lucky [AND] wrong [AND] tidy [IMPLY] tense [PERIOD]
cooperative [AND] bossy [AND] hilarious [IMPLY] powerful [PERIOD]
popular [AND] excited [IMPLY] weary [PERIOD]
talented [AND] tidy [AND] cruel [IMPLY] cooperative [PERIOD]
condemned [AND] spotless [IMPLY] powerful [PERIOD]
tired [IMPLY] weary [PERIOD]
weary [AND] thoughtless [AND] condemned [IMPLY] bossy [PERIOD]
messy [AND] tired [IMPLY] popular [PERIOD]
cooperative [AND] messy [IMPLY] tidy [PERIOD]
bossy [AND] hilarious [AND] excited [IMPLY] condemned [PERIOD]
cooperative [AND] condemned [AND] spotless [IMPLY] cruel [PERIOD]
bossy [AND] silly [IMPLY] powerful [PERIOD]
excited [AND] combative [IMPLY] clumsy [PERIOD]
messy [IMPLY] cruel [PERIOD]
thoughtless [AND] messy [AND] cruel [IMPLY] bossy [PERIOD]
bad-tempered [AND] tame [AND] wrong [IMPLY] condemned [PERIOD]
hypocritical [AND] lucky [AND] cooperative [IMPLY] talented [PERIOD]
tired [AND] spotless [AND] condemned [IMPLY] tame [PERIOD]
popular [AND] clumsy [AND] combative [IMPLY] powerful [PERIOD]
weary [AND] clumsy [AND] bad-tempered [IMPLY] tense [PERIOD]
tense [AND] tame [IMPLY] thoughtless [PERIOD]
popular [IMPLY] powerful [PERIOD]
hypocritical [AND] lucky [AND] hilarious [IMPLY] tidy [PERIOD]
bad-tempered [IMPLY] excited [PERIOD]
lucky [IMPLY] cooperative [PERIOD]
bad-tempered [IMPLY] tidy [PERIOD]
tidy [AND] cooperative [IMPLY] condemned [PERIOD]
spotless [AND] condemned [IMPLY] tidy [PERIOD]
hypocritical [IMPLY] tense [PERIOD]
tame [AND] bad-tempered [AND] excited [IMPLY] spotless [PERIOD]
weary [AND] tidy [IMPLY] condemned [PERIOD]
popular [AND] tired [AND] hilarious [IMPLY] excited [PERIOD]
hypocritical [AND] powerful [AND] cooperative [IMPLY] spotless [PERIOD]
tired [AND] tense [IMPLY] clumsy [PERIOD]
spotless [AND] powerful [IMPLY] wrong [PERIOD]
wrong [AND] tidy [IMPLY] bad-tempered [PERIOD]
thoughtless [AND] messy [AND] wrong [IMPLY] cooperative [PERIOD]
popular [AND] silly [AND] clumsy [IMPLY] cruel [PERIOD]
tame [AND] hypocritical [AND] tidy [IMPLY] thoughtless [PERIOD]
excited [IMPLY] powerful [PERIOD]
hypocritical [IMPLY] powerful [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   Cannot apply rule “talented ⇒ excited” because missing: talented.
   Cannot apply rule “bad-tempered ⇒ excited” because missing: bad-tempered.
   Cannot apply rule “popular ∧ tired ∧ hilarious ⇒ excited” because missing: tired, hilarious.
",0,3
"Facts:  Alice is smart [PERIOD] Alice is muddy [PERIOD] Alice is modern [PERIOD] Alice is elegant [PERIOD] Alice is different [PERIOD] Alice is helpful [PERIOD] Alice is gorgeous [PERIOD]
Rules:
modern [AND] inquisitive [AND] elegant [IMPLY] helpful [PERIOD]
different [AND] wide-eyed [IMPLY] precious [PERIOD]
elegant [AND] modern [AND] helpful [IMPLY] gifted [PERIOD]
inquisitive [AND] helpful [AND] muddy [IMPLY] different [PERIOD]
muddy [AND] precious [AND] gifted [IMPLY] smart [PERIOD]
wrong [IMPLY] gifted [PERIOD]
gorgeous [IMPLY] wide-eyed [PERIOD]
inquisitive [AND] wrong [AND] courageous [IMPLY] wide-eyed [PERIOD]
gifted [AND] frantic [IMPLY] modern [PERIOD]
gorgeous [AND] precious [AND] different [IMPLY] inquisitive [PERIOD]
modern [AND] wide-eyed [IMPLY] muddy [PERIOD]
smart [AND] modern [IMPLY] wide-eyed [PERIOD]
inquisitive [IMPLY] muddy [PERIOD]
gifted [AND] wide-eyed [IMPLY] smart [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   gorgeous ⇒ wide-eyed
   different ∧ wide-eyed ⇒ precious
   gorgeous ∧ precious ∧ different ⇒ inquisitive
",1,3
"Facts:  Alice is fine [PERIOD] Alice is frantic [PERIOD] Alice is diplomatic [PERIOD] Alice is fragile [PERIOD] Alice is uptight [PERIOD] Alice is tame [PERIOD] Alice is blushing [PERIOD] Alice is alert [PERIOD] Alice is vivacious [PERIOD]
Rules:
reserved [IMPLY] stupid [PERIOD]
diplomatic [AND] vivacious [IMPLY] stupid [PERIOD]
frantic [AND] condemned [AND] blushing [IMPLY] diplomatic [PERIOD]
tame [IMPLY] condemned [PERIOD]
alert [AND] fragile [AND] uptight [IMPLY] blushing [PERIOD]
uptight [AND] anxious [IMPLY] stupid [PERIOD]
uptight [AND] strange [AND] fine [IMPLY] frantic [PERIOD]
strange [AND] fragile [AND] diplomatic [IMPLY] anxious [PERIOD]
alert [AND] blushing [AND] uptight [IMPLY] vivacious [PERIOD]
tame [AND] uptight [AND] fine [IMPLY] stupid [PERIOD]
fragile [AND] blushing [IMPLY] alert [PERIOD]
diplomatic [IMPLY] fine [PERIOD]
alert [IMPLY] stupid [PERIOD]
diplomatic [AND] anxious [AND] condemned [IMPLY] strange [PERIOD]
reserved [AND] fragile [IMPLY] blushing [PERIOD]
fine [AND] anxious [AND] uptight [IMPLY] condemned [PERIOD]
fine [IMPLY] condemned [PERIOD]
tame [AND] diplomatic [IMPLY] reserved [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   fine ⇒ condemned
   Cannot apply rule “diplomatic ∧ anxious ∧ condemned ⇒ strange” because missing: anxious.
",0,2
"Facts:  Alice is hilarious [PERIOD]
Rules:
inexpensive [AND] mysterious [AND] cooperative [IMPLY] impatient [PERIOD]
easy [IMPLY] mysterious [PERIOD]
supportive [AND] hypocritical [IMPLY] elated [PERIOD]
quaint [AND] impatient [IMPLY] confident [PERIOD]
messy [AND] wide-eyed [IMPLY] polite [PERIOD]
inexpensive [AND] cooperative [IMPLY] hypocritical [PERIOD]
long [IMPLY] inexpensive [PERIOD]
courageous [AND] easy [IMPLY] wide-eyed [PERIOD]
quaint [AND] broad-minded [IMPLY] messy [PERIOD]
strange [AND] hilarious [AND] vivacious [IMPLY] hypocritical [PERIOD]
zealous [IMPLY] vivacious [PERIOD]
elated [IMPLY] broad-minded [PERIOD]
condemned [AND] disgusted [AND] zealous [IMPLY] broad-minded [PERIOD]
vivacious [AND] inexpensive [AND] dishonest [IMPLY] cruel [PERIOD]
dishonest [AND] messy [AND] disgusted [IMPLY] quaint [PERIOD]
confident [AND] supportive [AND] elated [IMPLY] messy [PERIOD]
polite [AND] mysterious [IMPLY] confident [PERIOD]
hypocritical [IMPLY] wide-eyed [PERIOD]
beautiful [AND] confident [IMPLY] broad-minded [PERIOD]
beautiful [AND] wide-eyed [AND] long [IMPLY] broad-minded [PERIOD]
elated [AND] inexpensive [IMPLY] embarrassed [PERIOD]
hypocritical [AND] wide-eyed [IMPLY] zealous [PERIOD]
cruel [AND] quaint [IMPLY] wide-eyed [PERIOD]
strange [IMPLY] quaint [PERIOD]
cruel [IMPLY] confident [PERIOD]
wide-eyed [AND] inexpensive [AND] reserved [IMPLY] long [PERIOD]
hypocritical [AND] cooperative [IMPLY] quaint [PERIOD]
easy [IMPLY] supportive [PERIOD]
cruel [AND] embarrassed [AND] condemned [IMPLY] strange [PERIOD]
condemned [AND] quaint [AND] vivacious [IMPLY] zealous [PERIOD]
beautiful [IMPLY] cooperative [PERIOD]
confident [IMPLY] mysterious [PERIOD]
vivacious [IMPLY] hypocritical [PERIOD]
cooperative [AND] quaint [AND] hilarious [IMPLY] hypocritical [PERIOD]
supportive [AND] broad-minded [AND] cooperative [IMPLY] embarrassed [PERIOD]
mysterious [AND] broad-minded [AND] embarrassed [IMPLY] messy [PERIOD]
mysterious [IMPLY] embarrassed [PERIOD]
confident [AND] polite [AND] courageous [IMPLY] impatient [PERIOD]
messy [AND] quaint [IMPLY] zealous [PERIOD]
zealous [AND] reserved [AND] polite [IMPLY] disgusted [PERIOD]
elated [AND] impatient [IMPLY] quaint [PERIOD]
quaint [AND] dishonest [AND] wide-eyed [IMPLY] courageous [PERIOD]
elated [AND] condemned [IMPLY] hypocritical [PERIOD]
broad-minded [IMPLY] mysterious [PERIOD]
dishonest [IMPLY] quaint [PERIOD]
confident [AND] hypocritical [AND] impatient [IMPLY] polite [PERIOD]
zealous [AND] beautiful [AND] supportive [IMPLY] cooperative [PERIOD]
polite [AND] embarrassed [AND] easy [IMPLY] supportive [PERIOD]
wide-eyed [IMPLY] condemned [PERIOD]
dishonest [IMPLY] hilarious [PERIOD]
wide-eyed [AND] long [IMPLY] quaint [PERIOD]
courageous [AND] easy [IMPLY] polite [PERIOD]
quaint [IMPLY] cruel [PERIOD]
vivacious [AND] embarrassed [AND] hilarious [IMPLY] broad-minded [PERIOD]
beautiful [IMPLY] messy [PERIOD]
beautiful [AND] long [AND] vivacious [IMPLY] elated [PERIOD]
polite [IMPLY] dishonest [PERIOD]
long [AND] broad-minded [IMPLY] hilarious [PERIOD]
condemned [AND] zealous [AND] broad-minded [IMPLY] messy [PERIOD]
confident [AND] hilarious [AND] disgusted [IMPLY] cooperative [PERIOD]
mysterious [AND] zealous [IMPLY] beautiful [PERIOD]
dishonest [IMPLY] easy [PERIOD]
vivacious [AND] wide-eyed [AND] elated [IMPLY] easy [PERIOD]
strange [AND] long [AND] dishonest [IMPLY] impatient [PERIOD]
supportive [AND] mysterious [IMPLY] wide-eyed [PERIOD]
courageous [IMPLY] polite [PERIOD]
easy [AND] long [AND] cooperative [IMPLY] hilarious [PERIOD]
strange [AND] embarrassed [IMPLY] supportive [PERIOD]
mysterious [AND] cooperative [IMPLY] condemned [PERIOD]
mysterious [AND] broad-minded [AND] hypocritical [IMPLY] easy [PERIOD]
quaint [IMPLY] broad-minded [PERIOD]
inexpensive [IMPLY] long [PERIOD]
courageous [AND] elated [AND] vivacious [IMPLY] broad-minded [PERIOD]
inexpensive [AND] condemned [IMPLY] confident [PERIOD]
long [IMPLY] vivacious [PERIOD]
easy [AND] supportive [IMPLY] reserved [PERIOD]
condemned [AND] reserved [AND] elated [IMPLY] embarrassed [PERIOD]
strange [IMPLY] mysterious [PERIOD]
dishonest [IMPLY] reserved [PERIOD]
condemned [IMPLY] inexpensive [PERIOD]
easy [IMPLY] polite [PERIOD]
embarrassed [IMPLY] disgusted [PERIOD]
impatient [AND] polite [IMPLY] easy [PERIOD]
cruel [AND] wide-eyed [AND] disgusted [IMPLY] condemned [PERIOD]
mysterious [AND] broad-minded [AND] cruel [IMPLY] polite [PERIOD]
cooperative [AND] confident [IMPLY] hilarious [PERIOD]
cooperative [AND] dishonest [IMPLY] broad-minded [PERIOD]
impatient [AND] supportive [IMPLY] mysterious [PERIOD]
mysterious [AND] inexpensive [AND] easy [IMPLY] beautiful [PERIOD]
hilarious [AND] long [IMPLY] wide-eyed [PERIOD]
inexpensive [IMPLY] elated [PERIOD]
confident [IMPLY] cruel [PERIOD]
mysterious [AND] polite [AND] hypocritical [IMPLY] disgusted [PERIOD]
dishonest [IMPLY] embarrassed [PERIOD]
disgusted [AND] supportive [AND] embarrassed [IMPLY] broad-minded [PERIOD]
beautiful [AND] mysterious [IMPLY] hilarious [PERIOD]
condemned [AND] confident [AND] inexpensive [IMPLY] hilarious [PERIOD]
mysterious [IMPLY] dishonest [PERIOD]
confident [AND] beautiful [AND] hilarious [IMPLY] quaint [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   Cannot apply rule “easy ⇒ mysterious” because missing: easy.
   Cannot apply rule “confident ⇒ mysterious” because missing: confident.
   Cannot apply rule “broad-minded ⇒ mysterious” because missing: broad-minded.
   Cannot apply rule “strange ⇒ mysterious” because missing: strange.
   Cannot apply rule “impatient ∧ supportive ⇒ mysterious” because missing: impatient, supportive.
",0,5
"Facts:  Alice is witty [PERIOD]
Rules:
thoughtless [IMPLY] fine [PERIOD]
jittery [IMPLY] smart [PERIOD]
witty [IMPLY] dishonest [PERIOD]
unpleasant [IMPLY] fancy [PERIOD]
powerful [IMPLY] curious [PERIOD]
curious [AND] talented [AND] stubborn [IMPLY] glamorous [PERIOD]
messy [AND] talented [AND] fine [IMPLY] glamorous [PERIOD]
bossy [AND] fine [IMPLY] stubborn [PERIOD]
bossy [AND] powerful [IMPLY] talented [PERIOD]
thoughtless [IMPLY] glamorous [PERIOD]
messy [IMPLY] powerful [PERIOD]
messy [IMPLY] hypocritical [PERIOD]
plain [AND] bossy [IMPLY] tame [PERIOD]
hypocritical [AND] fancy [AND] dishonest [IMPLY] unpleasant [PERIOD]
witty [IMPLY] messy [PERIOD]
powerful [IMPLY] tame [PERIOD]
powerful [AND] plain [AND] hypocritical [IMPLY] stubborn [PERIOD]
unpleasant [AND] powerful [AND] fine [IMPLY] stubborn [PERIOD]
fine [IMPLY] dishonest [PERIOD]
wrong [AND] plain [AND] dishonest [IMPLY] smart [PERIOD]
talented [IMPLY] messy [PERIOD]
enchanting [AND] tame [IMPLY] glamorous [PERIOD]
enchanting [AND] glamorous [IMPLY] stubborn [PERIOD]
thoughtless [IMPLY] unpleasant [PERIOD]
witty [AND] unpleasant [AND] stubborn [IMPLY] hypocritical [PERIOD]
dishonest [AND] plain [IMPLY] enchanting [PERIOD]
thoughtless [IMPLY] curious [PERIOD]
jittery [AND] fine [AND] fancy [IMPLY] talented [PERIOD]
unpleasant [AND] thoughtless [AND] hypocritical [IMPLY] enchanting [PERIOD]
glamorous [IMPLY] powerful [PERIOD]
bossy [AND] thoughtless [IMPLY] messy [PERIOD]
stubborn [AND] smart [IMPLY] thoughtless [PERIOD]
witty [AND] unpleasant [AND] dishonest [IMPLY] jittery [PERIOD]
tame [AND] thoughtless [IMPLY] witty [PERIOD]
stubborn [AND] wrong [IMPLY] unpleasant [PERIOD]
curious [IMPLY] tame [PERIOD]
thoughtless [IMPLY] smart [PERIOD]
witty [AND] fine [IMPLY] clean [PERIOD]
tame [IMPLY] talented [PERIOD]
powerful [AND] clean [AND] witty [IMPLY] smart [PERIOD]
fine [AND] dishonest [AND] bossy [IMPLY] thoughtless [PERIOD]
stubborn [IMPLY] thoughtless [PERIOD]
fancy [AND] powerful [IMPLY] bossy [PERIOD]
thoughtless [IMPLY] bossy [PERIOD]
wrong [IMPLY] clean [PERIOD]
unpleasant [AND] witty [IMPLY] talented [PERIOD]
fine [IMPLY] wrong [PERIOD]
enchanting [IMPLY] messy [PERIOD]
clean [AND] glamorous [AND] curious [IMPLY] powerful [PERIOD]
bossy [AND] tame [IMPLY] unpleasant [PERIOD]
fancy [AND] jittery [IMPLY] stubborn [PERIOD]
tame [AND] dishonest [AND] smart [IMPLY] plain [PERIOD]
enchanting [IMPLY] fancy [PERIOD]
fancy [AND] plain [IMPLY] stubborn [PERIOD]
enchanting [AND] clean [AND] fancy [IMPLY] dishonest [PERIOD]
fine [AND] powerful [AND] smart [IMPLY] bossy [PERIOD]
clean [AND] fancy [IMPLY] talented [PERIOD]
plain [AND] fancy [IMPLY] unpleasant [PERIOD]
fancy [IMPLY] witty [PERIOD]
wrong [IMPLY] unpleasant [PERIOD]
fine [IMPLY] witty [PERIOD]
fine [AND] plain [AND] fancy [IMPLY] messy [PERIOD]
hypocritical [AND] clean [AND] glamorous [IMPLY] bossy [PERIOD]
talented [AND] fancy [IMPLY] messy [PERIOD]
jittery [AND] bossy [AND] plain [IMPLY] clean [PERIOD]
plain [AND] clean [AND] smart [IMPLY] enchanting [PERIOD]
thoughtless [IMPLY] plain [PERIOD]
fine [IMPLY] clean [PERIOD]
fine [AND] glamorous [IMPLY] messy [PERIOD]
wrong [IMPLY] thoughtless [PERIOD]
plain [AND] powerful [IMPLY] stubborn [PERIOD]
fancy [AND] witty [IMPLY] powerful [PERIOD]
bossy [AND] messy [IMPLY] glamorous [PERIOD]
wrong [IMPLY] messy [PERIOD]
enchanting [IMPLY] wrong [PERIOD]
clean [AND] messy [AND] thoughtless [IMPLY] curious [PERIOD]
stubborn [IMPLY] plain [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   witty ⇒ messy
   messy ⇒ powerful
   powerful ⇒ tame
   witty ⇒ dishonest
   Cannot apply rule “tame ∧ dishonest ∧ smart ⇒ plain” because missing: smart.
   Cannot apply rule “thoughtless ⇒ plain” because missing: thoughtless.
   Cannot apply rule “stubborn ⇒ plain” because missing: stubborn.
",0,7
"Facts:  Alice is frail [PERIOD]
Rules:
cruel [IMPLY] joyous [PERIOD]
talkative [AND] tired [AND] frail [IMPLY] careless [PERIOD]
joyous [AND] careless [IMPLY] frail [PERIOD]
talkative [AND] crowded [AND] frail [IMPLY] cruel [PERIOD]
average [IMPLY] crowded [PERIOD]
frail [AND] talkative [IMPLY] joyous [PERIOD]
talkative [IMPLY] tired [PERIOD]
average [AND] cruel [IMPLY] tired [PERIOD]
talkative [IMPLY] diplomatic [PERIOD]
diplomatic [AND] tired [IMPLY] careless [PERIOD]
cruel [IMPLY] average [PERIOD]
cruel [AND] diplomatic [AND] careless [IMPLY] crowded [PERIOD]
average [IMPLY] tired [PERIOD]
frail [AND] careless [IMPLY] average [PERIOD]
crowded [IMPLY] joyous [PERIOD]
crowded [AND] cruel [AND] tired [IMPLY] frail [PERIOD]
frail [AND] joyous [IMPLY] tired [PERIOD]
cruel [AND] careless [AND] tired [IMPLY] joyous [PERIOD]
frail [IMPLY] careless [PERIOD]
careless [AND] cruel [AND] average [IMPLY] frail [PERIOD]
careless [AND] cruel [AND] joyous [IMPLY] diplomatic [PERIOD]
average [IMPLY] joyous [PERIOD]
diplomatic [AND] average [AND] talkative [IMPLY] frail [PERIOD]
average [AND] joyous [AND] frail [IMPLY] talkative [PERIOD]
diplomatic [AND] talkative [AND] joyous [IMPLY] frail [PERIOD]
cruel [IMPLY] talkative [PERIOD]
Query: Alice is diplomatic [PERIOD]","Proof chain:
   frail ⇒ careless
   frail ∧ careless ⇒ average
   frail ⇒ careless
   frail ∧ careless ⇒ average
   average ⇒ joyous
   average ∧ joyous ∧ frail ⇒ talkative
   talkative ⇒ diplomatic
",1,7
"Facts:  Alice is vivacious [PERIOD] Alice is comfortable [PERIOD]
Rules:
cruel [AND] careless [AND] mean [IMPLY] hilarious [PERIOD]
mean [AND] busy [IMPLY] cruel [PERIOD]
busy [AND] mean [AND] confused [IMPLY] cruel [PERIOD]
horrible [AND] mean [IMPLY] fragile [PERIOD]
busy [IMPLY] jittery [PERIOD]
foolish [AND] joyous [IMPLY] confused [PERIOD]
foolish [AND] jittery [AND] careless [IMPLY] hilarious [PERIOD]
nervous [AND] confused [IMPLY] mean [PERIOD]
hilarious [AND] mean [IMPLY] comfortable [PERIOD]
confused [AND] cruel [IMPLY] horrible [PERIOD]
frantic [IMPLY] mean [PERIOD]
easy [AND] confused [IMPLY] comfortable [PERIOD]
jittery [AND] busy [AND] mean [IMPLY] careless [PERIOD]
jittery [AND] mean [AND] hilarious [IMPLY] cruel [PERIOD]
fragile [AND] horrible [IMPLY] hilarious [PERIOD]
vivacious [IMPLY] careless [PERIOD]
careless [IMPLY] jittery [PERIOD]
polite [IMPLY] busy [PERIOD]
foolish [IMPLY] horrible [PERIOD]
cruel [AND] fragile [IMPLY] nervous [PERIOD]
jittery [AND] comfortable [IMPLY] easy [PERIOD]
fragile [AND] nervous [AND] confused [IMPLY] cruel [PERIOD]
nervous [AND] mean [IMPLY] easy [PERIOD]
cruel [AND] foolish [IMPLY] polite [PERIOD]
frantic [AND] nervous [AND] busy [IMPLY] mean [PERIOD]
cruel [AND] mean [IMPLY] careless [PERIOD]
cruel [IMPLY] polite [PERIOD]
foolish [AND] careless [AND] easy [IMPLY] hilarious [PERIOD]
cruel [AND] confused [IMPLY] mean [PERIOD]
fragile [IMPLY] joyous [PERIOD]
hilarious [AND] jittery [IMPLY] polite [PERIOD]
comfortable [AND] hilarious [IMPLY] nervous [PERIOD]
jittery [AND] joyous [IMPLY] polite [PERIOD]
easy [AND] comfortable [AND] nervous [IMPLY] polite [PERIOD]
jittery [IMPLY] joyous [PERIOD]
joyous [AND] jittery [AND] fragile [IMPLY] busy [PERIOD]
busy [IMPLY] mean [PERIOD]
horrible [AND] jittery [AND] comfortable [IMPLY] hilarious [PERIOD]
easy [AND] cruel [IMPLY] vivacious [PERIOD]
cruel [IMPLY] nervous [PERIOD]
comfortable [IMPLY] easy [PERIOD]
confused [IMPLY] mean [PERIOD]
foolish [IMPLY] confused [PERIOD]
horrible [IMPLY] hilarious [PERIOD]
fragile [AND] joyous [IMPLY] confused [PERIOD]
comfortable [AND] vivacious [AND] joyous [IMPLY] mean [PERIOD]
easy [AND] jittery [IMPLY] polite [PERIOD]
cruel [AND] foolish [IMPLY] confused [PERIOD]
joyous [AND] easy [IMPLY] cruel [PERIOD]
horrible [AND] easy [IMPLY] vivacious [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   vivacious ⇒ careless
   careless ⇒ jittery
   jittery ⇒ joyous
   comfortable ⇒ easy
   joyous ∧ easy ⇒ cruel
   cruel ⇒ nervous
",1,6
"Facts:  Alice is intellectual [PERIOD] Alice is excited [PERIOD] Alice is inquisitive [PERIOD] Alice is helpless [PERIOD] Alice is pleasant [PERIOD] Alice is zealous [PERIOD] Alice is confused [PERIOD]
Rules:
pleasant [AND] confused [AND] selfish [IMPLY] intellectual [PERIOD]
attractive [AND] fine [AND] dull [IMPLY] zealous [PERIOD]
attractive [AND] intellectual [AND] clumsy [IMPLY] quaint [PERIOD]
helpless [IMPLY] excited [PERIOD]
attractive [AND] excited [IMPLY] helpless [PERIOD]
excited [IMPLY] pleasant [PERIOD]
clumsy [IMPLY] attractive [PERIOD]
pleasant [AND] inquisitive [IMPLY] attractive [PERIOD]
selfish [AND] unpleasant [IMPLY] weary [PERIOD]
inquisitive [AND] wrong [IMPLY] helpless [PERIOD]
unpleasant [IMPLY] helpless [PERIOD]
weary [AND] gifted [IMPLY] inquisitive [PERIOD]
excited [IMPLY] intellectual [PERIOD]
intellectual [AND] quaint [IMPLY] zealous [PERIOD]
inquisitive [AND] selfish [IMPLY] excited [PERIOD]
pleasant [AND] attractive [IMPLY] zealous [PERIOD]
pleasant [AND] unpleasant [IMPLY] helpless [PERIOD]
excited [AND] confused [AND] selfish [IMPLY] quaint [PERIOD]
inquisitive [AND] helpless [IMPLY] dull [PERIOD]
wrong [AND] unpleasant [AND] attractive [IMPLY] fine [PERIOD]
quaint [AND] zealous [AND] wrong [IMPLY] dull [PERIOD]
weary [AND] helpless [IMPLY] excited [PERIOD]
dull [AND] zealous [IMPLY] attractive [PERIOD]
quaint [IMPLY] intellectual [PERIOD]
wrong [AND] excited [IMPLY] confused [PERIOD]
intellectual [AND] excited [AND] fine [IMPLY] gifted [PERIOD]
weary [AND] excited [IMPLY] inquisitive [PERIOD]
intellectual [AND] fine [IMPLY] wrong [PERIOD]
fine [AND] quaint [AND] excited [IMPLY] selfish [PERIOD]
clumsy [AND] intellectual [AND] pleasant [IMPLY] zealous [PERIOD]
quaint [AND] intellectual [IMPLY] fine [PERIOD]
quaint [IMPLY] wrong [PERIOD]
fine [AND] gifted [IMPLY] clumsy [PERIOD]
selfish [AND] intellectual [AND] fine [IMPLY] unpleasant [PERIOD]
intellectual [IMPLY] selfish [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   intellectual ⇒ selfish
   intellectual ⇒ selfish
   intellectual ⇒ selfish
   excited ∧ confused ∧ selfish ⇒ quaint
   quaint ∧ intellectual ⇒ fine
   selfish ∧ intellectual ∧ fine ⇒ unpleasant
   selfish ∧ unpleasant ⇒ weary
",1,7
"Facts: 
Rules:
difficult [IMPLY] embarrassed [PERIOD]
bad-tempered [AND] tidy [AND] fancy [IMPLY] crowded [PERIOD]
tame [AND] tidy [AND] embarrassed [IMPLY] difficult [PERIOD]
tame [IMPLY] innocent [PERIOD]
fearless [AND] fancy [AND] tense [IMPLY] bad-tempered [PERIOD]
embarrassed [IMPLY] crowded [PERIOD]
innocent [IMPLY] tame [PERIOD]
embarrassed [AND] frantic [AND] rational [IMPLY] tense [PERIOD]
foolish [IMPLY] innocent [PERIOD]
innocent [IMPLY] tense [PERIOD]
frantic [AND] tense [AND] muddy [IMPLY] fancy [PERIOD]
fancy [AND] embarrassed [IMPLY] innocent [PERIOD]
difficult [AND] crowded [AND] foolish [IMPLY] muddy [PERIOD]
bad-tempered [IMPLY] rational [PERIOD]
rational [AND] tame [IMPLY] fearless [PERIOD]
fearless [IMPLY] crowded [PERIOD]
crowded [AND] fearless [IMPLY] foolish [PERIOD]
fancy [AND] embarrassed [AND] tidy [IMPLY] rational [PERIOD]
difficult [AND] muddy [AND] bad-tempered [IMPLY] tense [PERIOD]
rational [AND] fearless [IMPLY] frantic [PERIOD]
fearless [AND] crowded [IMPLY] bad-tempered [PERIOD]
difficult [AND] tame [IMPLY] tidy [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   Cannot apply rule “embarrassed ∧ frantic ∧ rational ⇒ tense” because missing: embarrassed, frantic, rational.
   Cannot apply rule “innocent ⇒ tense” because missing: innocent.
   Cannot apply rule “difficult ∧ muddy ∧ bad-tempered ⇒ tense” because missing: difficult, muddy, bad-tempered.
",0,3
"Facts:  Alice is stormy [PERIOD] Alice is powerful [PERIOD] Alice is troubled [PERIOD] Alice is enchanting [PERIOD] Alice is frail [PERIOD]
Rules:
enchanting [IMPLY] helpful [PERIOD]
powerful [IMPLY] frail [PERIOD]
frail [AND] grumpy [AND] ugly [IMPLY] powerful [PERIOD]
stormy [AND] troubled [AND] grumpy [IMPLY] helpful [PERIOD]
frail [AND] ugly [AND] stormy [IMPLY] powerful [PERIOD]
frail [AND] helpful [AND] troubled [IMPLY] grumpy [PERIOD]
grumpy [AND] helpful [AND] ugly [IMPLY] powerful [PERIOD]
powerful [AND] frail [IMPLY] ugly [PERIOD]
ugly [AND] grumpy [AND] helpful [IMPLY] enchanting [PERIOD]
helpful [IMPLY] troubled [PERIOD]
enchanting [IMPLY] frail [PERIOD]
stormy [AND] troubled [IMPLY] powerful [PERIOD]
troubled [IMPLY] ugly [PERIOD]
enchanting [IMPLY] troubled [PERIOD]
grumpy [IMPLY] powerful [PERIOD]
frail [AND] stormy [AND] grumpy [IMPLY] helpful [PERIOD]
ugly [AND] helpful [IMPLY] grumpy [PERIOD]
grumpy [AND] frail [IMPLY] ugly [PERIOD]
frail [AND] troubled [IMPLY] ugly [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   powerful ∧ frail ⇒ ugly
",1,1
"Facts: 
Rules:
unpleasant [AND] troubled [AND] lonely [IMPLY] embarrassed [PERIOD]
attractive [IMPLY] unpleasant [PERIOD]
unpleasant [AND] mysterious [IMPLY] bossy [PERIOD]
troubled [AND] alert [AND] nervous [IMPLY] mysterious [PERIOD]
troubled [AND] nervous [IMPLY] bossy [PERIOD]
bossy [AND] troubled [IMPLY] mysterious [PERIOD]
lonely [AND] troubled [AND] embarrassed [IMPLY] bossy [PERIOD]
lonely [IMPLY] attractive [PERIOD]
alert [AND] nervous [IMPLY] attractive [PERIOD]
bossy [AND] unpleasant [IMPLY] mysterious [PERIOD]
troubled [IMPLY] unpleasant [PERIOD]
unpleasant [AND] alert [IMPLY] nervous [PERIOD]
alert [AND] embarrassed [IMPLY] mysterious [PERIOD]
nervous [AND] lonely [IMPLY] alert [PERIOD]
lonely [AND] unpleasant [IMPLY] nervous [PERIOD]
nervous [AND] attractive [AND] alert [IMPLY] bossy [PERIOD]
nervous [AND] unpleasant [IMPLY] attractive [PERIOD]
alert [IMPLY] troubled [PERIOD]
embarrassed [AND] attractive [AND] unpleasant [IMPLY] mysterious [PERIOD]
mysterious [AND] unpleasant [AND] embarrassed [IMPLY] bossy [PERIOD]
mysterious [AND] attractive [IMPLY] nervous [PERIOD]
alert [IMPLY] mysterious [PERIOD]
troubled [AND] bossy [AND] mysterious [IMPLY] nervous [PERIOD]
alert [IMPLY] nervous [PERIOD]
bossy [IMPLY] attractive [PERIOD]
attractive [AND] nervous [IMPLY] lonely [PERIOD]
attractive [AND] nervous [IMPLY] embarrassed [PERIOD]
lonely [AND] nervous [AND] mysterious [IMPLY] troubled [PERIOD]
troubled [AND] nervous [IMPLY] attractive [PERIOD]
alert [IMPLY] attractive [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   Cannot apply rule “lonely ⇒ attractive” because missing: lonely.
   Cannot apply rule “alert ∧ nervous ⇒ attractive” because missing: alert, nervous.
   Cannot apply rule “nervous ∧ unpleasant ⇒ attractive” because missing: nervous, unpleasant.
   Cannot apply rule “bossy ⇒ attractive” because missing: bossy.
   Cannot apply rule “troubled ∧ nervous ⇒ attractive” because missing: troubled, nervous.
   Cannot apply rule “alert ⇒ attractive” because missing: alert.
",0,6
"Facts:  Alice is amused [PERIOD] Alice is outstanding [PERIOD] Alice is rude [PERIOD]
Rules:
uptight [AND] intellectual [IMPLY] confident [PERIOD]
cooperative [AND] stupid [IMPLY] talkative [PERIOD]
ambitious [IMPLY] stupid [PERIOD]
cooperative [AND] serious [IMPLY] innocent [PERIOD]
difficult [AND] different [AND] outstanding [IMPLY] impartial [PERIOD]
silly [IMPLY] cooperative [PERIOD]
different [AND] uptight [IMPLY] amused [PERIOD]
calm [AND] fragile [IMPLY] worrisome [PERIOD]
stupid [AND] vivacious [IMPLY] different [PERIOD]
rude [AND] intellectual [IMPLY] silly [PERIOD]
ambitious [AND] lucky [IMPLY] vivacious [PERIOD]
cooperative [AND] confident [IMPLY] elegant [PERIOD]
bored [AND] fragile [IMPLY] helpless [PERIOD]
impartial [AND] uptight [IMPLY] fragile [PERIOD]
calm [AND] intellectual [IMPLY] lucky [PERIOD]
cooperative [AND] intellectual [AND] talkative [IMPLY] fragile [PERIOD]
stupid [IMPLY] uptight [PERIOD]
ambitious [IMPLY] amused [PERIOD]
amused [IMPLY] elegant [PERIOD]
rude [AND] confident [IMPLY] stupid [PERIOD]
lucky [AND] fragile [AND] uptight [IMPLY] confident [PERIOD]
silly [AND] ambitious [IMPLY] gleaming [PERIOD]
lucky [IMPLY] silly [PERIOD]
elegant [AND] gleaming [IMPLY] innocent [PERIOD]
calm [AND] stupid [AND] helpless [IMPLY] vivacious [PERIOD]
helpless [AND] impartial [AND] different [IMPLY] worrisome [PERIOD]
bored [AND] lucky [AND] amused [IMPLY] confident [PERIOD]
helpless [AND] uptight [AND] difficult [IMPLY] confident [PERIOD]
worrisome [AND] outstanding [IMPLY] impartial [PERIOD]
helpless [IMPLY] fragile [PERIOD]
ambitious [IMPLY] intellectual [PERIOD]
bored [AND] talkative [IMPLY] innocent [PERIOD]
amused [AND] vivacious [IMPLY] serious [PERIOD]
helpless [IMPLY] elegant [PERIOD]
gleaming [AND] silly [AND] fragile [IMPLY] intellectual [PERIOD]
calm [AND] helpless [AND] impartial [IMPLY] cooperative [PERIOD]
bored [IMPLY] talkative [PERIOD]
outstanding [AND] lucky [AND] cooperative [IMPLY] amused [PERIOD]
cooperative [AND] vivacious [IMPLY] bored [PERIOD]
cooperative [AND] vivacious [IMPLY] silly [PERIOD]
difficult [AND] rude [IMPLY] elegant [PERIOD]
elegant [IMPLY] amused [PERIOD]
talkative [IMPLY] difficult [PERIOD]
worrisome [IMPLY] outstanding [PERIOD]
elegant [IMPLY] intellectual [PERIOD]
difficult [AND] worrisome [AND] helpless [IMPLY] cooperative [PERIOD]
gleaming [IMPLY] helpless [PERIOD]
impartial [IMPLY] helpless [PERIOD]
bored [IMPLY] difficult [PERIOD]
fragile [AND] confident [AND] silly [IMPLY] innocent [PERIOD]
silly [AND] worrisome [AND] uptight [IMPLY] stupid [PERIOD]
confident [AND] fragile [IMPLY] lucky [PERIOD]
stupid [AND] worrisome [IMPLY] lucky [PERIOD]
ambitious [IMPLY] difficult [PERIOD]
amused [AND] silly [AND] talkative [IMPLY] serious [PERIOD]
talkative [IMPLY] stupid [PERIOD]
lucky [AND] vivacious [AND] cooperative [IMPLY] calm [PERIOD]
helpless [AND] uptight [IMPLY] intellectual [PERIOD]
confident [IMPLY] calm [PERIOD]
difficult [IMPLY] confident [PERIOD]
rude [AND] fragile [IMPLY] worrisome [PERIOD]
helpless [AND] outstanding [AND] cooperative [IMPLY] calm [PERIOD]
impartial [AND] fragile [AND] vivacious [IMPLY] innocent [PERIOD]
rude [AND] gleaming [AND] talkative [IMPLY] confident [PERIOD]
helpless [AND] fragile [IMPLY] ambitious [PERIOD]
rude [IMPLY] bored [PERIOD]
calm [IMPLY] worrisome [PERIOD]
elegant [AND] impartial [IMPLY] lucky [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   rude ⇒ bored
   bored ⇒ difficult
   difficult ⇒ confident
   confident ⇒ calm
   amused ⇒ elegant
   elegant ⇒ intellectual
   calm ∧ intellectual ⇒ lucky
",1,7
"Facts:  Alice is glamorous [PERIOD] Alice is muddy [PERIOD]
Rules:
stubborn [AND] ambitious [AND] muddy [IMPLY] grumpy [PERIOD]
ambitious [AND] plain [AND] stubborn [IMPLY] glamorous [PERIOD]
plain [AND] ambitious [AND] modern [IMPLY] calm [PERIOD]
modern [AND] plain [IMPLY] troubled [PERIOD]
calm [AND] glamorous [IMPLY] modern [PERIOD]
crowded [AND] stubborn [AND] calm [IMPLY] careless [PERIOD]
glamorous [AND] bossy [IMPLY] plain [PERIOD]
muddy [AND] glamorous [AND] stubborn [IMPLY] troubled [PERIOD]
modern [AND] crowded [AND] troubled [IMPLY] stubborn [PERIOD]
calm [IMPLY] troubled [PERIOD]
bossy [AND] ambitious [IMPLY] crowded [PERIOD]
modern [IMPLY] muddy [PERIOD]
stubborn [IMPLY] troubled [PERIOD]
plain [IMPLY] bossy [PERIOD]
modern [AND] troubled [AND] muddy [IMPLY] calm [PERIOD]
careless [AND] crowded [AND] troubled [IMPLY] bossy [PERIOD]
calm [AND] muddy [IMPLY] grumpy [PERIOD]
careless [AND] grumpy [AND] plain [IMPLY] modern [PERIOD]
stubborn [AND] grumpy [AND] ambitious [IMPLY] modern [PERIOD]
crowded [AND] modern [AND] calm [IMPLY] troubled [PERIOD]
muddy [AND] bossy [AND] plain [IMPLY] troubled [PERIOD]
glamorous [AND] bossy [AND] modern [IMPLY] stubborn [PERIOD]
ambitious [AND] calm [AND] plain [IMPLY] glamorous [PERIOD]
bossy [IMPLY] modern [PERIOD]
careless [IMPLY] modern [PERIOD]
calm [IMPLY] stubborn [PERIOD]
stubborn [AND] troubled [AND] grumpy [IMPLY] muddy [PERIOD]
ambitious [AND] troubled [AND] bossy [IMPLY] plain [PERIOD]
crowded [AND] glamorous [AND] plain [IMPLY] modern [PERIOD]
ambitious [AND] careless [AND] grumpy [IMPLY] calm [PERIOD]
plain [AND] ambitious [IMPLY] bossy [PERIOD]
troubled [AND] glamorous [AND] calm [IMPLY] crowded [PERIOD]
calm [AND] muddy [AND] bossy [IMPLY] modern [PERIOD]
stubborn [AND] grumpy [IMPLY] troubled [PERIOD]
grumpy [IMPLY] glamorous [PERIOD]
modern [AND] bossy [AND] plain [IMPLY] careless [PERIOD]
crowded [IMPLY] stubborn [PERIOD]
troubled [IMPLY] stubborn [PERIOD]
crowded [AND] calm [AND] troubled [IMPLY] ambitious [PERIOD]
bossy [AND] ambitious [AND] careless [IMPLY] stubborn [PERIOD]
modern [AND] ambitious [IMPLY] muddy [PERIOD]
modern [AND] stubborn [AND] bossy [IMPLY] grumpy [PERIOD]
plain [AND] bossy [AND] modern [IMPLY] glamorous [PERIOD]
calm [AND] modern [IMPLY] careless [PERIOD]
glamorous [IMPLY] ambitious [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   Cannot apply rule “modern ∧ plain ⇒ troubled” because missing: modern, plain.
   Cannot apply rule “muddy ∧ glamorous ∧ stubborn ⇒ troubled” because missing: stubborn.
   Cannot apply rule “calm ⇒ troubled” because missing: calm.
   Cannot apply rule “stubborn ⇒ troubled” because missing: stubborn.
   Cannot apply rule “crowded ∧ modern ∧ calm ⇒ troubled” because missing: crowded, modern, calm.
   Cannot apply rule “muddy ∧ bossy ∧ plain ⇒ troubled” because missing: bossy, plain.
   Cannot apply rule “stubborn ∧ grumpy ⇒ troubled” because missing: stubborn, grumpy.
",0,7
"Facts:  Alice is jittery [PERIOD] Alice is scared [PERIOD]
Rules:
famous [IMPLY] mean [PERIOD]
stormy [AND] unpleasant [AND] helpless [IMPLY] disobedient [PERIOD]
glamorous [IMPLY] quaint [PERIOD]
famous [IMPLY] helpless [PERIOD]
helpless [AND] shy [IMPLY] scared [PERIOD]
scared [IMPLY] mean [PERIOD]
gleaming [AND] helpless [AND] bossy [IMPLY] amused [PERIOD]
unpleasant [AND] helpless [IMPLY] different [PERIOD]
disobedient [IMPLY] frightened [PERIOD]
jittery [AND] famous [IMPLY] quaint [PERIOD]
gleaming [IMPLY] frightened [PERIOD]
unpleasant [AND] bossy [IMPLY] scared [PERIOD]
glamorous [AND] good [IMPLY] jittery [PERIOD]
bossy [AND] scared [AND] good [IMPLY] shy [PERIOD]
quaint [AND] different [AND] attractive [IMPLY] gleaming [PERIOD]
frightened [AND] different [IMPLY] stormy [PERIOD]
attractive [AND] quaint [IMPLY] jittery [PERIOD]
glamorous [AND] shy [AND] stormy [IMPLY] frightened [PERIOD]
mean [AND] gleaming [IMPLY] quaint [PERIOD]
famous [IMPLY] quaint [PERIOD]
glamorous [AND] mean [AND] unpleasant [IMPLY] scared [PERIOD]
glamorous [AND] stormy [AND] different [IMPLY] famous [PERIOD]
different [AND] famous [AND] unpleasant [IMPLY] gleaming [PERIOD]
easy [AND] helpless [IMPLY] unpleasant [PERIOD]
stormy [AND] frightened [IMPLY] helpless [PERIOD]
attractive [IMPLY] easy [PERIOD]
glamorous [IMPLY] gleaming [PERIOD]
mean [AND] different [IMPLY] jittery [PERIOD]
mean [AND] disobedient [AND] good [IMPLY] glamorous [PERIOD]
amused [IMPLY] good [PERIOD]
attractive [AND] stormy [IMPLY] good [PERIOD]
glamorous [IMPLY] helpless [PERIOD]
glamorous [AND] disobedient [IMPLY] stormy [PERIOD]
stormy [IMPLY] jittery [PERIOD]
bossy [AND] helpless [IMPLY] good [PERIOD]
scared [AND] glamorous [AND] unpleasant [IMPLY] famous [PERIOD]
frightened [AND] helpless [IMPLY] different [PERIOD]
shy [IMPLY] famous [PERIOD]
glamorous [AND] easy [IMPLY] quaint [PERIOD]
good [AND] helpless [AND] easy [IMPLY] shy [PERIOD]
gleaming [AND] jittery [IMPLY] stormy [PERIOD]
helpless [IMPLY] jittery [PERIOD]
unpleasant [AND] different [IMPLY] easy [PERIOD]
bossy [IMPLY] different [PERIOD]
shy [AND] glamorous [IMPLY] attractive [PERIOD]
famous [AND] mean [IMPLY] shy [PERIOD]
disobedient [IMPLY] easy [PERIOD]
quaint [AND] bossy [AND] unpleasant [IMPLY] gleaming [PERIOD]
famous [AND] shy [AND] stormy [IMPLY] different [PERIOD]
stormy [AND] disobedient [AND] shy [IMPLY] different [PERIOD]
famous [AND] good [AND] easy [IMPLY] jittery [PERIOD]
gleaming [AND] jittery [AND] good [IMPLY] stormy [PERIOD]
famous [IMPLY] attractive [PERIOD]
famous [IMPLY] glamorous [PERIOD]
shy [AND] quaint [IMPLY] scared [PERIOD]
disobedient [AND] amused [AND] glamorous [IMPLY] shy [PERIOD]
glamorous [AND] attractive [AND] gleaming [IMPLY] frightened [PERIOD]
glamorous [IMPLY] easy [PERIOD]
famous [IMPLY] scared [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   Cannot apply rule “glamorous ⇒ quaint” because missing: glamorous.
   Cannot apply rule “jittery ∧ famous ⇒ quaint” because missing: famous.
   scared ⇒ mean
   Cannot apply rule “mean ∧ gleaming ⇒ quaint” because missing: gleaming.
   Cannot apply rule “famous ⇒ quaint” because missing: famous.
   Cannot apply rule “glamorous ∧ easy ⇒ quaint” because missing: glamorous, easy.
",0,6
"Facts:  Alice is enchanting [PERIOD] Alice is sincere [PERIOD] Alice is busy [PERIOD] Alice is cute [PERIOD] Alice is homely [PERIOD]
Rules:
wide-eyed [AND] elated [IMPLY] straightforward [PERIOD]
cute [AND] sleepy [AND] enchanting [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] homely [AND] straightforward [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] wide-eyed [PERIOD]
sleepy [AND] straightforward [IMPLY] sincere [PERIOD]
elated [AND] wide-eyed [AND] sleepy [IMPLY] sincere [PERIOD]
homely [AND] grumpy [AND] sincere [IMPLY] wide-eyed [PERIOD]
cute [IMPLY] enchanting [PERIOD]
sincere [AND] sleepy [AND] cute [IMPLY] straightforward [PERIOD]
cute [AND] straightforward [AND] homely [IMPLY] enchanting [PERIOD]
sincere [AND] sleepy [AND] wide-eyed [IMPLY] busy [PERIOD]
straightforward [IMPLY] grumpy [PERIOD]
straightforward [IMPLY] enchanting [PERIOD]
sincere [IMPLY] grumpy [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   sincere ⇒ grumpy
   grumpy ⇒ wide-eyed
   Cannot apply rule “wide-eyed ∧ elated ⇒ straightforward” because missing: elated.
   Cannot apply rule “sincere ∧ sleepy ∧ cute ⇒ straightforward” because missing: sleepy.
",0,4
"Facts:  Alice is tidy [PERIOD] Alice is sincere [PERIOD] Alice is charming [PERIOD]
Rules:
plain [IMPLY] tidy [PERIOD]
plain [AND] charming [AND] sincere [IMPLY] amused [PERIOD]
supportive [AND] silly [AND] pessimistic [IMPLY] plain [PERIOD]
supportive [AND] sincere [AND] quaint [IMPLY] cruel [PERIOD]
silly [AND] charming [AND] plain [IMPLY] supportive [PERIOD]
vivacious [AND] tidy [IMPLY] silly [PERIOD]
supportive [IMPLY] charming [PERIOD]
sincere [AND] exuberant [AND] silly [IMPLY] charming [PERIOD]
amused [AND] sincere [AND] charming [IMPLY] supportive [PERIOD]
charming [AND] victorious [AND] vivacious [IMPLY] clumsy [PERIOD]
silly [AND] tidy [AND] vivacious [IMPLY] clumsy [PERIOD]
sincere [AND] quaint [AND] vivacious [IMPLY] supportive [PERIOD]
quaint [IMPLY] tidy [PERIOD]
supportive [AND] plain [IMPLY] amused [PERIOD]
charming [AND] victorious [AND] clumsy [IMPLY] quaint [PERIOD]
amused [AND] vivacious [AND] tidy [IMPLY] silly [PERIOD]
exuberant [AND] charming [AND] amused [IMPLY] silly [PERIOD]
exuberant [IMPLY] silly [PERIOD]
clumsy [AND] exuberant [IMPLY] pessimistic [PERIOD]
supportive [AND] clumsy [IMPLY] silly [PERIOD]
plain [IMPLY] quaint [PERIOD]
charming [AND] cruel [IMPLY] supportive [PERIOD]
quaint [AND] tidy [IMPLY] victorious [PERIOD]
silly [IMPLY] cruel [PERIOD]
tidy [AND] supportive [IMPLY] sincere [PERIOD]
clumsy [AND] cruel [AND] amused [IMPLY] tidy [PERIOD]
sincere [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] pessimistic [PERIOD]
quaint [AND] vivacious [IMPLY] supportive [PERIOD]
supportive [IMPLY] cruel [PERIOD]
clumsy [AND] cruel [AND] sincere [IMPLY] vivacious [PERIOD]
quaint [IMPLY] vivacious [PERIOD]
vivacious [AND] charming [AND] supportive [IMPLY] cruel [PERIOD]
supportive [AND] pessimistic [IMPLY] cruel [PERIOD]
tidy [IMPLY] silly [PERIOD]
amused [AND] clumsy [IMPLY] vivacious [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   tidy ⇒ silly
   silly ⇒ cruel
   charming ∧ cruel ⇒ supportive
   tidy ⇒ silly
   sincere ⇒ exuberant
   exuberant ⇒ pessimistic
   supportive ∧ silly ∧ pessimistic ⇒ plain
",1,7
"Facts:  Alice is scared [PERIOD]
Rules:
old-fashioned [AND] modern [AND] frantic [IMPLY] excited [PERIOD]
excited [IMPLY] zealous [PERIOD]
scared [AND] hilarious [IMPLY] zealous [PERIOD]
versatile [IMPLY] busy [PERIOD]
zealous [IMPLY] modern [PERIOD]
quaint [AND] frantic [IMPLY] straightforward [PERIOD]
busy [IMPLY] serious [PERIOD]
long [AND] friendly [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] silly [IMPLY] hilarious [PERIOD]
busy [AND] long [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] modern [PERIOD]
busy [IMPLY] hilarious [PERIOD]
adorable [AND] straightforward [IMPLY] serious [PERIOD]
excited [AND] versatile [AND] modern [IMPLY] wrong [PERIOD]
busy [AND] versatile [IMPLY] worried [PERIOD]
zealous [AND] gifted [AND] adorable [IMPLY] frantic [PERIOD]
bad-tempered [AND] hilarious [AND] silly [IMPLY] modern [PERIOD]
plain [AND] ambitious [IMPLY] frantic [PERIOD]
serious [IMPLY] reserved [PERIOD]
straightforward [AND] friendly [AND] plain [IMPLY] quaint [PERIOD]
hilarious [IMPLY] busy [PERIOD]
excited [IMPLY] long [PERIOD]
gifted [IMPLY] friendly [PERIOD]
modern [AND] gifted [IMPLY] zealous [PERIOD]
gifted [AND] worried [AND] busy [IMPLY] scared [PERIOD]
plain [AND] excited [AND] zealous [IMPLY] careless [PERIOD]
old-fashioned [AND] frantic [AND] excited [IMPLY] quaint [PERIOD]
silly [AND] frantic [IMPLY] modern [PERIOD]
serious [IMPLY] careless [PERIOD]
worried [AND] quaint [AND] old-fashioned [IMPLY] busy [PERIOD]
busy [AND] plain [IMPLY] silly [PERIOD]
silly [IMPLY] serious [PERIOD]
reserved [AND] scared [IMPLY] hilarious [PERIOD]
worried [AND] adorable [AND] gifted [IMPLY] old-fashioned [PERIOD]
zealous [AND] careless [AND] modern [IMPLY] hilarious [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
   Cannot apply rule “excited ⇒ zealous” because missing: excited.
   Cannot apply rule “scared ∧ hilarious ⇒ zealous” because missing: hilarious.
   Cannot apply rule “modern ∧ gifted ⇒ zealous” because missing: modern, gifted.
",0,3
"Facts:  Alice is strange [PERIOD] Alice is wandering [PERIOD]
Rules:
ugliest [AND] jittery [IMPLY] loving [PERIOD]
good [AND] alert [AND] smart [IMPLY] combative [PERIOD]
combative [AND] easy [AND] thoughtful [IMPLY] frightened [PERIOD]
careless [IMPLY] good [PERIOD]
thoughtful [IMPLY] ugliest [PERIOD]
good [IMPLY] anxious [PERIOD]
ambitious [AND] thoughtful [AND] combative [IMPLY] anxious [PERIOD]
pleasant [AND] inexpensive [AND] adorable [IMPLY] thoughtful [PERIOD]
ugliest [IMPLY] comfortable [PERIOD]
easy [AND] inexpensive [IMPLY] wrong [PERIOD]
good [AND] ugliest [AND] combative [IMPLY] anxious [PERIOD]
beautiful [AND] good [IMPLY] mean [PERIOD]
anxious [AND] jittery [IMPLY] wandering [PERIOD]
alert [IMPLY] ambitious [PERIOD]
pleasant [AND] inexpensive [AND] combative [IMPLY] frightened [PERIOD]
wandering [AND] inexpensive [IMPLY] mean [PERIOD]
wandering [IMPLY] loving [PERIOD]
beautiful [AND] quaint [AND] adorable [IMPLY] inexpensive [PERIOD]
ambitious [AND] comfortable [IMPLY] frightened [PERIOD]
ambitious [AND] inexpensive [AND] loving [IMPLY] thoughtful [PERIOD]
ambitious [AND] mean [IMPLY] pleasant [PERIOD]
strange [AND] adorable [IMPLY] alert [PERIOD]
inexpensive [IMPLY] thoughtful [PERIOD]
easy [AND] smart [AND] jittery [IMPLY] anxious [PERIOD]
easy [IMPLY] pleasant [PERIOD]
pleasant [AND] beautiful [IMPLY] comfortable [PERIOD]
thoughtful [AND] combative [IMPLY] lucky [PERIOD]
mean [AND] ugliest [AND] frightened [IMPLY] easy [PERIOD]
alert [AND] thoughtful [AND] jittery [IMPLY] wrong [PERIOD]
pleasant [AND] mean [IMPLY] comfortable [PERIOD]
beautiful [IMPLY] quaint [PERIOD]
wandering [AND] frightened [IMPLY] mean [PERIOD]
ambitious [AND] alert [IMPLY] jittery [PERIOD]
wrong [AND] easy [IMPLY] careless [PERIOD]
thoughtful [AND] careless [AND] quaint [IMPLY] ugliest [PERIOD]
beautiful [AND] wandering [IMPLY] loving [PERIOD]
ugliest [AND] adorable [AND] easy [IMPLY] smart [PERIOD]
loving [AND] combative [IMPLY] ugliest [PERIOD]
pleasant [AND] careless [AND] quaint [IMPLY] anxious [PERIOD]
careless [AND] thoughtful [IMPLY] smart [PERIOD]
alert [AND] combative [IMPLY] thoughtful [PERIOD]
strange [AND] good [AND] wandering [IMPLY] adorable [PERIOD]
strange [AND] frightened [AND] wandering [IMPLY] ugliest [PERIOD]
pleasant [AND] smart [AND] mean [IMPLY] loving [PERIOD]
careless [IMPLY] anxious [PERIOD]
easy [IMPLY] wrong [PERIOD]
inexpensive [AND] comfortable [AND] ambitious [IMPLY] quaint [PERIOD]
easy [AND] good [IMPLY] frightened [PERIOD]
frightened [AND] loving [AND] easy [IMPLY] careless [PERIOD]
wrong [AND] ambitious [IMPLY] alert [PERIOD]
combative [IMPLY] quaint [PERIOD]
easy [AND] jittery [IMPLY] ugliest [PERIOD]
adorable [IMPLY] lucky [PERIOD]
alert [IMPLY] careless [PERIOD]
strange [AND] easy [IMPLY] ugliest [PERIOD]
thoughtful [IMPLY] good [PERIOD]
thoughtful [AND] ambitious [AND] adorable [IMPLY] anxious [PERIOD]
careless [IMPLY] frightened [PERIOD]
pleasant [IMPLY] combative [PERIOD]
lucky [AND] loving [IMPLY] strange [PERIOD]
wandering [IMPLY] mean [PERIOD]
comfortable [AND] mean [IMPLY] alert [PERIOD]
inexpensive [AND] jittery [IMPLY] comfortable [PERIOD]
good [AND] alert [IMPLY] easy [PERIOD]
thoughtful [IMPLY] adorable [PERIOD]
combative [AND] mean [AND] anxious [IMPLY] inexpensive [PERIOD]
alert [IMPLY] anxious [PERIOD]
easy [AND] ambitious [AND] mean [IMPLY] adorable [PERIOD]
loving [AND] ambitious [AND] easy [IMPLY] pleasant [PERIOD]
wandering [IMPLY] frightened [PERIOD]
good [AND] pleasant [IMPLY] careless [PERIOD]
anxious [AND] careless [IMPLY] alert [PERIOD]
thoughtful [AND] good [AND] mean [IMPLY] adorable [PERIOD]
inexpensive [AND] pleasant [IMPLY] smart [PERIOD]
ugliest [AND] careless [IMPLY] anxious [PERIOD]
ugliest [AND] good [AND] mean [IMPLY] anxious [PERIOD]
ambitious [IMPLY] thoughtful [PERIOD]
loving [AND] easy [IMPLY] beautiful [PERIOD]
mean [IMPLY] smart [PERIOD]
easy [AND] loving [AND] comfortable [IMPLY] good [PERIOD]
smart [IMPLY] pleasant [PERIOD]
quaint [AND] pleasant [AND] comfortable [IMPLY] ambitious [PERIOD]
frightened [AND] quaint [IMPLY] mean [PERIOD]
careless [AND] thoughtful [AND] inexpensive [IMPLY] lucky [PERIOD]
mean [AND] wrong [IMPLY] smart [PERIOD]
alert [IMPLY] jittery [PERIOD]
beautiful [AND] anxious [AND] easy [IMPLY] thoughtful [PERIOD]
inexpensive [AND] strange [AND] easy [IMPLY] anxious [PERIOD]
inexpensive [AND] frightened [AND] comfortable [IMPLY] alert [PERIOD]
inexpensive [IMPLY] pleasant [PERIOD]
alert [AND] lucky [IMPLY] strange [PERIOD]
smart [AND] adorable [IMPLY] inexpensive [PERIOD]
strange [IMPLY] lucky [PERIOD]
wrong [IMPLY] alert [PERIOD]
Query: Alice is jittery [PERIOD]","Proof chain:
   wandering ⇒ frightened
   strange ∧ frightened ∧ wandering ⇒ ugliest
   ugliest ⇒ comfortable
   wandering ⇒ mean
   comfortable ∧ mean ⇒ alert
   alert ⇒ jittery
",1,6
"Facts:  Alice is frantic [PERIOD] Alice is exuberant [PERIOD] Alice is inexpensive [PERIOD] Alice is reserved [PERIOD] Alice is shy [PERIOD] Alice is mysterious [PERIOD] Alice is foolish [PERIOD] Alice is popular [PERIOD] Alice is cooperative [PERIOD] Alice is zealous [PERIOD]
Rules:
impartial [IMPLY] reserved [PERIOD]
fearless [IMPLY] inexpensive [PERIOD]
foolish [AND] mysterious [AND] curious [IMPLY] reserved [PERIOD]
shy [AND] curious [AND] inexpensive [IMPLY] stupid [PERIOD]
crowded [AND] popular [IMPLY] foolish [PERIOD]
shy [IMPLY] frantic [PERIOD]
mysterious [AND] popular [IMPLY] impartial [PERIOD]
fearless [AND] tame [IMPLY] inexpensive [PERIOD]
frantic [AND] zealous [AND] confused [IMPLY] curious [PERIOD]
zealous [AND] mysterious [AND] crowded [IMPLY] impartial [PERIOD]
fearless [AND] crowded [IMPLY] foolish [PERIOD]
cooperative [AND] smart [AND] fearless [IMPLY] confused [PERIOD]
tame [AND] cooperative [AND] foolish [IMPLY] impartial [PERIOD]
inexpensive [AND] cooperative [IMPLY] crowded [PERIOD]
mysterious [IMPLY] curious [PERIOD]
fearless [IMPLY] impartial [PERIOD]
crowded [AND] curious [IMPLY] shy [PERIOD]
zealous [AND] popular [IMPLY] blushing [PERIOD]
mysterious [AND] fearless [IMPLY] shy [PERIOD]
popular [IMPLY] fearless [PERIOD]
popular [IMPLY] smart [PERIOD]
blushing [IMPLY] confused [PERIOD]
foolish [AND] inexpensive [AND] smart [IMPLY] confused [PERIOD]
impartial [IMPLY] exuberant [PERIOD]
popular [AND] mysterious [AND] crowded [IMPLY] blushing [PERIOD]
frantic [AND] exuberant [IMPLY] shy [PERIOD]
reserved [IMPLY] shy [PERIOD]
tame [AND] fearless [AND] confused [IMPLY] blushing [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   popular ⇒ fearless
",1,1
"Facts:  Alice is mysterious [PERIOD] Alice is impatient [PERIOD] Alice is old-fashioned [PERIOD] Alice is lucky [PERIOD]
Rules:
muddy [IMPLY] famous [PERIOD]
broad-minded [IMPLY] courageous [PERIOD]
muddy [AND] frail [AND] lonely [IMPLY] versatile [PERIOD]
versatile [IMPLY] victorious [PERIOD]
old-fashioned [IMPLY] victorious [PERIOD]
plain [IMPLY] popular [PERIOD]
broad-minded [AND] talented [IMPLY] frail [PERIOD]
serious [AND] popular [AND] lucky [IMPLY] easy [PERIOD]
plain [AND] clean [IMPLY] versatile [PERIOD]
bright [AND] muddy [IMPLY] impatient [PERIOD]
vivacious [AND] tired [AND] mysterious [IMPLY] broad-minded [PERIOD]
clean [IMPLY] serious [PERIOD]
frail [IMPLY] easy [PERIOD]
victorious [AND] talented [AND] versatile [IMPLY] tidy [PERIOD]
lucky [AND] bossy [AND] clean [IMPLY] agreeable [PERIOD]
serious [AND] courageous [IMPLY] clean [PERIOD]
talented [AND] agreeable [IMPLY] plain [PERIOD]
bossy [AND] clean [IMPLY] easy [PERIOD]
bossy [AND] lucky [AND] impatient [IMPLY] confused [PERIOD]
frail [IMPLY] serious [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is homely [PERIOD] Alice is agreeable [PERIOD]
Rules:
agreeable [AND] enchanting [AND] vivacious [IMPLY] bright [PERIOD]
talented [IMPLY] good [PERIOD]
charming [AND] enchanting [AND] excited [IMPLY] worrisome [PERIOD]
charming [AND] talented [IMPLY] innocent [PERIOD]
clean [AND] innocent [IMPLY] enchanting [PERIOD]
enchanting [AND] innocent [AND] precious [IMPLY] clean [PERIOD]
old-fashioned [IMPLY] vivacious [PERIOD]
enchanting [AND] worrisome [AND] vivacious [IMPLY] talented [PERIOD]
scared [IMPLY] good [PERIOD]
rude [AND] homely [AND] charming [IMPLY] excited [PERIOD]
bright [AND] clean [IMPLY] innocent [PERIOD]
worrisome [IMPLY] bright [PERIOD]
shiny [AND] old-fashioned [IMPLY] homely [PERIOD]
talented [AND] bad-tempered [IMPLY] old-fashioned [PERIOD]
blushing [AND] talented [AND] courageous [IMPLY] embarrassed [PERIOD]
excited [AND] courageous [IMPLY] worrisome [PERIOD]
charming [IMPLY] bright [PERIOD]
enchanting [AND] scared [AND] good [IMPLY] bad-tempered [PERIOD]
precious [IMPLY] bright [PERIOD]
vivacious [AND] rude [AND] innocent [IMPLY] embarrassed [PERIOD]
light [IMPLY] agreeable [PERIOD]
worrisome [AND] old-fashioned [AND] confused [IMPLY] vivacious [PERIOD]
bad-tempered [AND] rude [AND] enchanting [IMPLY] excited [PERIOD]
courageous [AND] charming [AND] bad-tempered [IMPLY] blushing [PERIOD]
worrisome [AND] talkative [IMPLY] enchanting [PERIOD]
bright [IMPLY] precious [PERIOD]
precious [AND] charming [IMPLY] embarrassed [PERIOD]
vivacious [AND] bad-tempered [IMPLY] clean [PERIOD]
bright [IMPLY] shiny [PERIOD]
charming [IMPLY] embarrassed [PERIOD]
scared [AND] courageous [AND] light [IMPLY] blushing [PERIOD]
talkative [IMPLY] charming [PERIOD]
talented [AND] homely [AND] courageous [IMPLY] old-fashioned [PERIOD]
innocent [IMPLY] worrisome [PERIOD]
bright [AND] embarrassed [AND] vivacious [IMPLY] innocent [PERIOD]
rude [AND] scared [IMPLY] courageous [PERIOD]
old-fashioned [AND] confused [AND] worrisome [IMPLY] rude [PERIOD]
vivacious [AND] light [AND] scared [IMPLY] courageous [PERIOD]
homely [AND] talkative [IMPLY] scared [PERIOD]
innocent [AND] talkative [AND] enchanting [IMPLY] clean [PERIOD]
clean [AND] enchanting [AND] good [IMPLY] agreeable [PERIOD]
talkative [AND] confused [IMPLY] wide-eyed [PERIOD]
talkative [IMPLY] scared [PERIOD]
charming [AND] talkative [AND] careless [IMPLY] bright [PERIOD]
bad-tempered [AND] light [AND] courageous [IMPLY] good [PERIOD]
bright [AND] vivacious [IMPLY] precious [PERIOD]
agreeable [AND] charming [AND] precious [IMPLY] homely [PERIOD]
precious [IMPLY] innocent [PERIOD]
blushing [IMPLY] shiny [PERIOD]
confused [AND] shiny [AND] talented [IMPLY] innocent [PERIOD]
light [AND] wide-eyed [AND] innocent [IMPLY] enchanting [PERIOD]
light [AND] talented [IMPLY] excited [PERIOD]
worrisome [AND] talkative [IMPLY] scared [PERIOD]
vivacious [AND] rude [AND] careless [IMPLY] courageous [PERIOD]
talkative [AND] agreeable [AND] charming [IMPLY] homely [PERIOD]
homely [AND] precious [AND] clean [IMPLY] good [PERIOD]
homely [IMPLY] old-fashioned [PERIOD]
Query: Alice is innocent [PERIOD]","Proof chain:
   Cannot apply rule “charming ∧ talented ⇒ innocent” because missing: charming, talented.
   Cannot apply rule “bright ∧ clean ⇒ innocent” because missing: bright, clean.
   homely ⇒ old-fashioned
   old-fashioned ⇒ vivacious
   Cannot apply rule “bright ∧ embarrassed ∧ vivacious ⇒ innocent” because missing: bright, embarrassed.
   Cannot apply rule “precious ⇒ innocent” because missing: precious.
   Cannot apply rule “confused ∧ shiny ∧ talented ⇒ innocent” because missing: confused, shiny, talented.
",0,7
"Facts:  Alice is talkative [PERIOD]
Rules:
bossy [AND] elated [AND] silly [IMPLY] helpful [PERIOD]
elated [IMPLY] wide-eyed [PERIOD]
talkative [AND] elated [AND] silly [IMPLY] helpful [PERIOD]
helpful [AND] bossy [AND] wide-eyed [IMPLY] silly [PERIOD]
wide-eyed [IMPLY] helpful [PERIOD]
bossy [AND] talkative [IMPLY] disobedient [PERIOD]
wide-eyed [AND] bossy [IMPLY] silly [PERIOD]
bossy [IMPLY] elated [PERIOD]
bossy [IMPLY] talkative [PERIOD]
bossy [AND] silly [IMPLY] wide-eyed [PERIOD]
disobedient [AND] wide-eyed [IMPLY] talkative [PERIOD]
talkative [AND] silly [AND] bossy [IMPLY] elated [PERIOD]
helpful [AND] disobedient [AND] wide-eyed [IMPLY] talkative [PERIOD]
silly [AND] disobedient [AND] elated [IMPLY] helpful [PERIOD]
silly [AND] talkative [IMPLY] disobedient [PERIOD]
helpful [AND] wide-eyed [AND] elated [IMPLY] bossy [PERIOD]
talkative [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] helpful [PERIOD]
talkative [IMPLY] bossy [PERIOD]
wide-eyed [AND] elated [AND] talkative [IMPLY] helpful [PERIOD]
elated [AND] silly [IMPLY] disobedient [PERIOD]
helpful [IMPLY] silly [PERIOD]
helpful [AND] bossy [IMPLY] wide-eyed [PERIOD]
elated [IMPLY] silly [PERIOD]
bossy [IMPLY] helpful [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   talkative ⇒ bossy
   bossy ⇒ elated
   elated ⇒ wide-eyed
",1,3
"Facts:  Alice is talkative [PERIOD] Alice is reserved [PERIOD]
Rules:
bored [IMPLY] intellectual [PERIOD]
average [AND] helpless [AND] versatile [IMPLY] popular [PERIOD]
helpless [IMPLY] popular [PERIOD]
cooperative [AND] attractive [AND] talkative [IMPLY] helpless [PERIOD]
stupid [AND] intellectual [IMPLY] pessimistic [PERIOD]
stupid [AND] hypocritical [AND] muddy [IMPLY] attractive [PERIOD]
tame [AND] cooperative [AND] smart [IMPLY] attractive [PERIOD]
cooperative [IMPLY] smart [PERIOD]
versatile [AND] calm [AND] blushing [IMPLY] scared [PERIOD]
stupid [AND] calm [IMPLY] helpless [PERIOD]
tame [AND] scared [AND] blushing [IMPLY] pessimistic [PERIOD]
blushing [AND] bored [AND] calm [IMPLY] smart [PERIOD]
intellectual [IMPLY] bored [PERIOD]
calm [AND] tame [AND] aggressive [IMPLY] talkative [PERIOD]
attractive [AND] bored [AND] distinct [IMPLY] average [PERIOD]
scared [AND] tame [AND] reserved [IMPLY] talkative [PERIOD]
smart [AND] talkative [AND] calm [IMPLY] average [PERIOD]
bored [AND] average [AND] versatile [IMPLY] aggressive [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   Cannot apply rule “attractive ∧ bored ∧ distinct ⇒ average” because missing: attractive, bored, distinct.
   Cannot apply rule “smart ∧ talkative ∧ calm ⇒ average” because missing: smart, calm.
",0,2
"Facts: 
Rules:
tender [AND] curious [AND] attentive [IMPLY] embarrassed [PERIOD]
proud [IMPLY] wide-eyed [PERIOD]
clean [AND] tender [AND] thoughtless [IMPLY] wandering [PERIOD]
thoughtless [AND] embarrassed [AND] curious [IMPLY] innocent [PERIOD]
wandering [IMPLY] clean [PERIOD]
thoughtless [AND] frail [IMPLY] clean [PERIOD]
helpless [AND] thoughtless [AND] glamorous [IMPLY] clean [PERIOD]
wandering [AND] disgusted [AND] embarrassed [IMPLY] thoughtless [PERIOD]
tender [AND] helpless [IMPLY] frail [PERIOD]
disgusted [AND] frail [AND] attentive [IMPLY] embarrassed [PERIOD]
wide-eyed [AND] wandering [AND] curious [IMPLY] proud [PERIOD]
wide-eyed [AND] clean [IMPLY] glamorous [PERIOD]
innocent [IMPLY] tender [PERIOD]
glamorous [AND] frail [IMPLY] tender [PERIOD]
tender [IMPLY] helpless [PERIOD]
wide-eyed [AND] curious [IMPLY] thoughtless [PERIOD]
proud [IMPLY] frail [PERIOD]
clean [IMPLY] proud [PERIOD]
innocent [AND] glamorous [AND] frail [IMPLY] wandering [PERIOD]
frail [IMPLY] embarrassed [PERIOD]
glamorous [IMPLY] clean [PERIOD]
clean [AND] wide-eyed [AND] disgusted [IMPLY] tender [PERIOD]
proud [AND] wandering [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] proud [PERIOD]
helpless [AND] wide-eyed [IMPLY] proud [PERIOD]
glamorous [IMPLY] proud [PERIOD]
attentive [AND] embarrassed [AND] frail [IMPLY] tender [PERIOD]
disgusted [AND] helpless [IMPLY] frail [PERIOD]
wide-eyed [IMPLY] disgusted [PERIOD]
helpless [IMPLY] proud [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   Cannot apply rule “innocent ⇒ tender” because missing: innocent.
   Cannot apply rule “glamorous ∧ frail ⇒ tender” because missing: glamorous, frail.
   Cannot apply rule “clean ∧ wide-eyed ∧ disgusted ⇒ tender” because missing: clean, wide-eyed, disgusted.
   Cannot apply rule “attentive ∧ embarrassed ∧ frail ⇒ tender” because missing: attentive, embarrassed, frail.
",0,4
"Facts:  Alice is difficult [PERIOD] Alice is sincere [PERIOD] Alice is worrisome [PERIOD] Alice is foolish [PERIOD]
Rules:
hypocritical [AND] difficult [AND] frightened [IMPLY] bossy [PERIOD]
mean [IMPLY] sincere [PERIOD]
mean [AND] foolish [IMPLY] difficult [PERIOD]
frantic [AND] sincere [IMPLY] mean [PERIOD]
frightened [AND] comfortable [IMPLY] difficult [PERIOD]
comfortable [IMPLY] dishonest [PERIOD]
frightened [IMPLY] dishonest [PERIOD]
foolish [AND] bossy [AND] frightened [IMPLY] frantic [PERIOD]
dishonest [AND] gifted [AND] foolish [IMPLY] scared [PERIOD]
bossy [AND] difficult [AND] scared [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] mean [PERIOD]
frantic [AND] mean [AND] worrisome [IMPLY] difficult [PERIOD]
scared [AND] mean [IMPLY] comfortable [PERIOD]
worrisome [IMPLY] bossy [PERIOD]
difficult [AND] worrisome [AND] hypocritical [IMPLY] bossy [PERIOD]
foolish [AND] dishonest [IMPLY] mean [PERIOD]
rude [AND] hypocritical [AND] sincere [IMPLY] comfortable [PERIOD]
worrisome [AND] rude [AND] sincere [IMPLY] dishonest [PERIOD]
difficult [IMPLY] mean [PERIOD]
gifted [IMPLY] dishonest [PERIOD]
comfortable [IMPLY] mean [PERIOD]
sincere [AND] frightened [IMPLY] foolish [PERIOD]
sincere [IMPLY] dishonest [PERIOD]
gifted [AND] foolish [AND] scared [IMPLY] difficult [PERIOD]
dishonest [AND] sincere [AND] gifted [IMPLY] mean [PERIOD]
gifted [AND] bossy [AND] frightened [IMPLY] mean [PERIOD]
rude [IMPLY] dishonest [PERIOD]
hypocritical [AND] dishonest [IMPLY] gifted [PERIOD]
foolish [AND] bossy [AND] difficult [IMPLY] worrisome [PERIOD]
hypocritical [AND] worrisome [AND] frantic [IMPLY] gifted [PERIOD]
foolish [IMPLY] rude [PERIOD]
dishonest [AND] rude [AND] frightened [IMPLY] mean [PERIOD]
rude [AND] sincere [IMPLY] gifted [PERIOD]
hypocritical [IMPLY] foolish [PERIOD]
frantic [AND] gifted [AND] hypocritical [IMPLY] foolish [PERIOD]
dishonest [IMPLY] bossy [PERIOD]
difficult [AND] rude [AND] mean [IMPLY] hypocritical [PERIOD]
dishonest [AND] bossy [IMPLY] hypocritical [PERIOD]
hypocritical [AND] foolish [IMPLY] frightened [PERIOD]
frightened [AND] frantic [IMPLY] comfortable [PERIOD]
bossy [AND] difficult [IMPLY] foolish [PERIOD]
gifted [AND] mean [AND] foolish [IMPLY] sincere [PERIOD]
frightened [IMPLY] bossy [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   sincere ⇒ dishonest
",1,1
"Facts:  Alice is enchanting [PERIOD] Alice is mean [PERIOD]
Rules:
tense [AND] enchanting [IMPLY] mean [PERIOD]
mean [IMPLY] gorgeous [PERIOD]
mean [AND] enchanting [AND] attractive [IMPLY] tense [PERIOD]
attractive [AND] tense [IMPLY] wide-eyed [PERIOD]
mean [AND] tense [AND] attractive [IMPLY] enchanting [PERIOD]
attractive [AND] wide-eyed [AND] enchanting [IMPLY] mean [PERIOD]
mean [AND] tense [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] gorgeous [PERIOD]
mean [AND] attractive [AND] tense [IMPLY] gorgeous [PERIOD]
enchanting [AND] wide-eyed [IMPLY] attractive [PERIOD]
attractive [AND] gorgeous [IMPLY] enchanting [PERIOD]
wide-eyed [AND] enchanting [AND] mean [IMPLY] gorgeous [PERIOD]
attractive [IMPLY] wide-eyed [PERIOD]
gorgeous [AND] mean [AND] tense [IMPLY] attractive [PERIOD]
attractive [AND] gorgeous [IMPLY] wide-eyed [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   Cannot apply rule “attractive ∧ tense ⇒ wide-eyed” because missing: attractive, tense.
   Cannot apply rule “attractive ⇒ wide-eyed” because missing: attractive.
   enchanting ⇒ gorgeous
   Cannot apply rule “attractive ∧ gorgeous ⇒ wide-eyed” because missing: attractive.
",0,4
"Facts:  Alice is confused [PERIOD] Alice is anxious [PERIOD]
Rules:
diplomatic [AND] inexpensive [IMPLY] impartial [PERIOD]
confused [IMPLY] bossy [PERIOD]
intellectual [AND] inexpensive [IMPLY] anxious [PERIOD]
confused [IMPLY] strange [PERIOD]
bossy [AND] confused [IMPLY] impartial [PERIOD]
bossy [AND] impartial [AND] anxious [IMPLY] inexpensive [PERIOD]
impartial [IMPLY] inexpensive [PERIOD]
bossy [AND] anxious [IMPLY] impartial [PERIOD]
diplomatic [AND] inexpensive [AND] confused [IMPLY] anxious [PERIOD]
intellectual [IMPLY] diplomatic [PERIOD]
intellectual [IMPLY] impartial [PERIOD]
inexpensive [AND] confused [IMPLY] diplomatic [PERIOD]
impartial [IMPLY] diplomatic [PERIOD]
strange [IMPLY] anxious [PERIOD]
strange [AND] inexpensive [AND] bossy [IMPLY] impartial [PERIOD]
anxious [AND] intellectual [AND] confused [IMPLY] impartial [PERIOD]
diplomatic [AND] impartial [IMPLY] confused [PERIOD]
inexpensive [AND] bossy [IMPLY] diplomatic [PERIOD]
inexpensive [AND] anxious [AND] intellectual [IMPLY] strange [PERIOD]
inexpensive [IMPLY] strange [PERIOD]
strange [AND] inexpensive [IMPLY] anxious [PERIOD]
diplomatic [IMPLY] impartial [PERIOD]
strange [AND] anxious [IMPLY] impartial [PERIOD]
diplomatic [IMPLY] confused [PERIOD]
inexpensive [AND] strange [IMPLY] intellectual [PERIOD]
confused [AND] inexpensive [IMPLY] anxious [PERIOD]
inexpensive [AND] bossy [AND] confused [IMPLY] strange [PERIOD]
inexpensive [AND] anxious [AND] intellectual [IMPLY] confused [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   confused ⇒ bossy
   confused ⇒ bossy
   bossy ∧ confused ⇒ impartial
   bossy ∧ impartial ∧ anxious ⇒ inexpensive
",1,4
"Facts:  Alice is impartial [PERIOD] Alice is tame [PERIOD] Alice is joyous [PERIOD] Alice is aggressive [PERIOD] Alice is modern [PERIOD]
Rules:
modern [IMPLY] tame [PERIOD]
broad-minded [IMPLY] joyous [PERIOD]
aggressive [IMPLY] stormy [PERIOD]
aggressive [AND] impartial [IMPLY] modern [PERIOD]
victorious [AND] broad-minded [IMPLY] tame [PERIOD]
tame [AND] modern [AND] joyous [IMPLY] victorious [PERIOD]
tame [AND] broad-minded [IMPLY] aggressive [PERIOD]
joyous [AND] aggressive [AND] impartial [IMPLY] victorious [PERIOD]
stormy [AND] aggressive [IMPLY] impartial [PERIOD]
aggressive [IMPLY] impartial [PERIOD]
joyous [AND] tame [AND] broad-minded [IMPLY] modern [PERIOD]
tame [AND] victorious [IMPLY] stormy [PERIOD]
stormy [AND] broad-minded [IMPLY] joyous [PERIOD]
modern [AND] impartial [AND] tame [IMPLY] joyous [PERIOD]
stormy [AND] impartial [AND] tame [IMPLY] joyous [PERIOD]
impartial [AND] broad-minded [AND] aggressive [IMPLY] victorious [PERIOD]
stormy [AND] joyous [IMPLY] broad-minded [PERIOD]
stormy [AND] joyous [AND] broad-minded [IMPLY] victorious [PERIOD]
modern [AND] impartial [AND] stormy [IMPLY] broad-minded [PERIOD]
victorious [AND] joyous [AND] stormy [IMPLY] broad-minded [PERIOD]
modern [AND] aggressive [IMPLY] stormy [PERIOD]
joyous [IMPLY] modern [PERIOD]
tame [AND] stormy [AND] aggressive [IMPLY] broad-minded [PERIOD]
stormy [AND] victorious [IMPLY] broad-minded [PERIOD]
modern [AND] stormy [AND] broad-minded [IMPLY] victorious [PERIOD]
broad-minded [AND] victorious [IMPLY] modern [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   aggressive ⇒ stormy
   stormy ∧ joyous ⇒ broad-minded
",1,2
"Facts:  Alice is troubled [PERIOD] Alice is elegant [PERIOD] Alice is hypocritical [PERIOD] Alice is gorgeous [PERIOD] Alice is clean [PERIOD] Alice is stormy [PERIOD] Alice is enchanting [PERIOD] Alice is ugliest [PERIOD]
Rules:
good [AND] troubled [AND] clean [IMPLY] gorgeous [PERIOD]
troubled [AND] elegant [AND] enchanting [IMPLY] calm [PERIOD]
calm [IMPLY] good [PERIOD]
clean [IMPLY] hypocritical [PERIOD]
stormy [AND] elegant [AND] clean [IMPLY] enchanting [PERIOD]
calm [AND] good [AND] troubled [IMPLY] hypocritical [PERIOD]
elegant [AND] troubled [IMPLY] clean [PERIOD]
clean [AND] hypocritical [IMPLY] calm [PERIOD]
elegant [AND] enchanting [IMPLY] clean [PERIOD]
good [IMPLY] elegant [PERIOD]
gorgeous [AND] good [IMPLY] stormy [PERIOD]
calm [AND] hypocritical [IMPLY] clean [PERIOD]
stormy [IMPLY] troubled [PERIOD]
elegant [IMPLY] clean [PERIOD]
gorgeous [AND] hypocritical [IMPLY] stormy [PERIOD]
good [AND] calm [AND] gorgeous [IMPLY] clean [PERIOD]
clean [IMPLY] ugliest [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   clean ∧ hypocritical ⇒ calm
",1,1
"Facts:  Alice is ugliest [PERIOD] Alice is rude [PERIOD] Alice is agreeable [PERIOD] Alice is friendly [PERIOD] Alice is perfect [PERIOD] Alice is witty [PERIOD] Alice is thoughtless [PERIOD] Alice is distinct [PERIOD] Alice is messy [PERIOD] Alice is hurt [PERIOD] Alice is easy [PERIOD] Alice is attractive [PERIOD] Alice is plain [PERIOD] Alice is reserved [PERIOD] Alice is unpleasant [PERIOD] Alice is rational [PERIOD] Alice is disgusted [PERIOD]
Rules:
powerful [AND] rational [IMPLY] perfect [PERIOD]
careless [AND] messy [IMPLY] powerful [PERIOD]
messy [AND] plain [IMPLY] perfect [PERIOD]
perfect [IMPLY] rude [PERIOD]
agreeable [AND] plain [IMPLY] ugliest [PERIOD]
careless [AND] perfect [AND] attractive [IMPLY] messy [PERIOD]
distinct [AND] difficult [IMPLY] rude [PERIOD]
messy [AND] careless [AND] reserved [IMPLY] difficult [PERIOD]
distinct [AND] difficult [AND] messy [IMPLY] thoughtless [PERIOD]
rational [IMPLY] friendly [PERIOD]
unpleasant [AND] messy [AND] attractive [IMPLY] ugliest [PERIOD]
thoughtless [AND] careless [IMPLY] ugliest [PERIOD]
careless [AND] difficult [AND] powerful [IMPLY] plain [PERIOD]
friendly [IMPLY] rude [PERIOD]
friendly [IMPLY] plain [PERIOD]
messy [IMPLY] difficult [PERIOD]
powerful [IMPLY] rational [PERIOD]
rude [AND] rational [IMPLY] unpleasant [PERIOD]
rational [IMPLY] hurt [PERIOD]
agreeable [IMPLY] easy [PERIOD]
thoughtless [IMPLY] disgusted [PERIOD]
rude [AND] disgusted [AND] reserved [IMPLY] easy [PERIOD]
friendly [AND] easy [IMPLY] careless [PERIOD]
powerful [IMPLY] reserved [PERIOD]
agreeable [AND] powerful [IMPLY] ugliest [PERIOD]
easy [AND] careless [IMPLY] distinct [PERIOD]
hurt [IMPLY] disgusted [PERIOD]
perfect [AND] thoughtless [IMPLY] agreeable [PERIOD]
disgusted [IMPLY] perfect [PERIOD]
rude [IMPLY] disgusted [PERIOD]
plain [AND] unpleasant [IMPLY] disgusted [PERIOD]
ugliest [AND] witty [IMPLY] perfect [PERIOD]
messy [AND] careless [AND] unpleasant [IMPLY] hurt [PERIOD]
ugliest [AND] thoughtless [AND] hurt [IMPLY] unpleasant [PERIOD]
disgusted [AND] perfect [IMPLY] hurt [PERIOD]
friendly [AND] reserved [AND] messy [IMPLY] careless [PERIOD]
rude [AND] unpleasant [IMPLY] attractive [PERIOD]
distinct [AND] plain [AND] rational [IMPLY] perfect [PERIOD]
witty [AND] perfect [IMPLY] agreeable [PERIOD]
reserved [AND] attractive [IMPLY] witty [PERIOD]
hurt [IMPLY] plain [PERIOD]
rational [AND] disgusted [AND] careless [IMPLY] easy [PERIOD]
agreeable [IMPLY] unpleasant [PERIOD]
difficult [AND] careless [IMPLY] friendly [PERIOD]
unpleasant [AND] rude [AND] attractive [IMPLY] disgusted [PERIOD]
rational [AND] agreeable [IMPLY] disgusted [PERIOD]
distinct [AND] difficult [IMPLY] rational [PERIOD]
reserved [AND] rude [IMPLY] careless [PERIOD]
friendly [AND] powerful [IMPLY] witty [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is combative [PERIOD] Alice is uptight [PERIOD] Alice is jittery [PERIOD]
Rules:
ugliest [IMPLY] uptight [PERIOD]
thoughtless [AND] anxious [AND] exuberant [IMPLY] mysterious [PERIOD]
anxious [IMPLY] uptight [PERIOD]
helpless [IMPLY] bossy [PERIOD]
agreeable [AND] uptight [AND] combative [IMPLY] popular [PERIOD]
blushing [AND] hypocritical [IMPLY] mysterious [PERIOD]
weary [AND] tense [IMPLY] muddy [PERIOD]
mysterious [AND] combative [AND] elated [IMPLY] muddy [PERIOD]
muddy [IMPLY] popular [PERIOD]
thoughtless [AND] elegant [IMPLY] old-fashioned [PERIOD]
combative [AND] quaint [IMPLY] bossy [PERIOD]
quaint [IMPLY] perfect [PERIOD]
perfect [IMPLY] agreeable [PERIOD]
tender [AND] thoughtless [AND] old-fashioned [IMPLY] jittery [PERIOD]
jittery [AND] innocent [IMPLY] quaint [PERIOD]
ugliest [AND] tender [IMPLY] weary [PERIOD]
hypocritical [IMPLY] elegant [PERIOD]
talented [IMPLY] weary [PERIOD]
popular [AND] agreeable [IMPLY] tense [PERIOD]
tense [AND] innocent [IMPLY] bossy [PERIOD]
inquisitive [AND] elated [IMPLY] exuberant [PERIOD]
elated [AND] messy [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] hypocritical [PERIOD]
weary [AND] perfect [IMPLY] quaint [PERIOD]
helpless [AND] bossy [IMPLY] tender [PERIOD]
exuberant [AND] inquisitive [IMPLY] messy [PERIOD]
blushing [AND] thoughtless [AND] hypocritical [IMPLY] elated [PERIOD]
ugliest [IMPLY] agreeable [PERIOD]
tender [IMPLY] weary [PERIOD]
helpless [AND] blushing [IMPLY] jittery [PERIOD]
mysterious [IMPLY] elated [PERIOD]
popular [AND] ugliest [IMPLY] tense [PERIOD]
muddy [IMPLY] talented [PERIOD]
uptight [AND] blushing [AND] old-fashioned [IMPLY] thoughtless [PERIOD]
helpless [IMPLY] combative [PERIOD]
blushing [IMPLY] popular [PERIOD]
jittery [AND] bossy [IMPLY] elegant [PERIOD]
elegant [AND] inquisitive [IMPLY] tense [PERIOD]
anxious [IMPLY] inquisitive [PERIOD]
uptight [IMPLY] blushing [PERIOD]
ugliest [IMPLY] combative [PERIOD]
muddy [IMPLY] hypocritical [PERIOD]
bossy [IMPLY] innocent [PERIOD]
tense [AND] talented [AND] innocent [IMPLY] perfect [PERIOD]
messy [AND] tense [AND] talented [IMPLY] perfect [PERIOD]
tense [AND] agreeable [IMPLY] hypocritical [PERIOD]
quaint [AND] exuberant [IMPLY] jittery [PERIOD]
elated [IMPLY] mysterious [PERIOD]
combative [AND] jittery [IMPLY] helpless [PERIOD]
tender [AND] mysterious [IMPLY] elated [PERIOD]
messy [AND] perfect [IMPLY] anxious [PERIOD]
talented [AND] thoughtless [AND] uptight [IMPLY] exuberant [PERIOD]
muddy [AND] tense [AND] talented [IMPLY] agreeable [PERIOD]
mysterious [AND] innocent [AND] jittery [IMPLY] weary [PERIOD]
agreeable [IMPLY] muddy [PERIOD]
tender [AND] jittery [AND] helpless [IMPLY] popular [PERIOD]
muddy [AND] bossy [AND] blushing [IMPLY] uptight [PERIOD]
mysterious [IMPLY] jittery [PERIOD]
innocent [AND] hypocritical [AND] jittery [IMPLY] agreeable [PERIOD]
muddy [IMPLY] thoughtless [PERIOD]
talented [IMPLY] helpless [PERIOD]
exuberant [AND] thoughtless [IMPLY] muddy [PERIOD]
jittery [AND] old-fashioned [IMPLY] elated [PERIOD]
tender [AND] anxious [AND] mysterious [IMPLY] tense [PERIOD]
agreeable [AND] tender [IMPLY] thoughtless [PERIOD]
popular [AND] helpless [AND] mysterious [IMPLY] hypocritical [PERIOD]
helpless [AND] jittery [IMPLY] talented [PERIOD]
mysterious [IMPLY] muddy [PERIOD]
old-fashioned [AND] blushing [AND] anxious [IMPLY] talented [PERIOD]
old-fashioned [IMPLY] mysterious [PERIOD]
inquisitive [AND] combative [IMPLY] hypocritical [PERIOD]
tense [IMPLY] innocent [PERIOD]
elegant [AND] mysterious [IMPLY] popular [PERIOD]
perfect [IMPLY] messy [PERIOD]
innocent [IMPLY] hypocritical [PERIOD]
talented [IMPLY] perfect [PERIOD]
mysterious [AND] hypocritical [IMPLY] quaint [PERIOD]
popular [AND] helpless [AND] thoughtless [IMPLY] uptight [PERIOD]
jittery [AND] uptight [IMPLY] quaint [PERIOD]
blushing [AND] popular [AND] uptight [IMPLY] old-fashioned [PERIOD]
thoughtless [AND] innocent [IMPLY] quaint [PERIOD]
quaint [AND] perfect [IMPLY] jittery [PERIOD]
uptight [IMPLY] talented [PERIOD]
thoughtless [AND] perfect [IMPLY] anxious [PERIOD]
elated [AND] inquisitive [AND] thoughtless [IMPLY] tender [PERIOD]
inquisitive [AND] agreeable [IMPLY] elegant [PERIOD]
innocent [AND] anxious [AND] exuberant [IMPLY] elegant [PERIOD]
inquisitive [IMPLY] blushing [PERIOD]
muddy [IMPLY] weary [PERIOD]
agreeable [AND] helpless [IMPLY] muddy [PERIOD]
messy [AND] mysterious [IMPLY] agreeable [PERIOD]
bossy [AND] messy [IMPLY] jittery [PERIOD]
weary [IMPLY] mysterious [PERIOD]
weary [AND] bossy [IMPLY] combative [PERIOD]
mysterious [AND] hypocritical [IMPLY] talented [PERIOD]
helpless [IMPLY] tender [PERIOD]
ugliest [IMPLY] messy [PERIOD]
popular [AND] messy [AND] thoughtless [IMPLY] muddy [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   jittery ∧ uptight ⇒ quaint
   quaint ⇒ perfect
   perfect ⇒ messy
   jittery ∧ uptight ⇒ quaint
   quaint ⇒ perfect
   messy ∧ perfect ⇒ anxious
   anxious ⇒ inquisitive
",1,7
"Facts:  Alice is inquisitive [PERIOD] Alice is mean [PERIOD] Alice is comfortable [PERIOD] Alice is rude [PERIOD] Alice is cute [PERIOD] Alice is famous [PERIOD]
Rules:
messy [IMPLY] inquisitive [PERIOD]
sincere [IMPLY] thoughtful [PERIOD]
bored [AND] thoughtful [IMPLY] spotless [PERIOD]
shiny [IMPLY] worrisome [PERIOD]
inquisitive [AND] bored [IMPLY] frightened [PERIOD]
worrisome [AND] spotless [AND] alert [IMPLY] fine [PERIOD]
distinct [AND] sincere [IMPLY] worrisome [PERIOD]
supportive [AND] inquisitive [AND] messy [IMPLY] rude [PERIOD]
inquisitive [AND] impatient [IMPLY] distinct [PERIOD]
worrisome [AND] comfortable [AND] rude [IMPLY] bored [PERIOD]
alert [IMPLY] glamorous [PERIOD]
worrisome [IMPLY] famous [PERIOD]
clumsy [IMPLY] comfortable [PERIOD]
messy [AND] witty [IMPLY] supportive [PERIOD]
powerful [AND] cute [IMPLY] comfortable [PERIOD]
glamorous [IMPLY] spotless [PERIOD]
witty [IMPLY] worrisome [PERIOD]
cute [IMPLY] inquisitive [PERIOD]
rude [IMPLY] glamorous [PERIOD]
mean [IMPLY] rational [PERIOD]
impatient [AND] comfortable [IMPLY] supportive [PERIOD]
comfortable [AND] easy [AND] frightened [IMPLY] messy [PERIOD]
bored [IMPLY] easy [PERIOD]
rude [AND] easy [AND] sincere [IMPLY] alert [PERIOD]
shiny [AND] famous [IMPLY] comfortable [PERIOD]
distinct [IMPLY] bored [PERIOD]
comfortable [IMPLY] witty [PERIOD]
thoughtful [IMPLY] supportive [PERIOD]
inquisitive [IMPLY] easy [PERIOD]
spotless [IMPLY] shiny [PERIOD]
inquisitive [AND] clumsy [AND] impatient [IMPLY] worrisome [PERIOD]
thoughtful [IMPLY] spotless [PERIOD]
bored [AND] rude [IMPLY] alert [PERIOD]
rational [IMPLY] cute [PERIOD]
powerful [AND] easy [IMPLY] mean [PERIOD]
cute [AND] frightened [AND] messy [IMPLY] thoughtful [PERIOD]
clumsy [AND] inquisitive [AND] famous [IMPLY] glamorous [PERIOD]
spotless [AND] fine [AND] rational [IMPLY] shiny [PERIOD]
powerful [IMPLY] supportive [PERIOD]
clumsy [IMPLY] spotless [PERIOD]
glamorous [AND] frightened [AND] comfortable [IMPLY] supportive [PERIOD]
bored [IMPLY] cute [PERIOD]
distinct [AND] messy [IMPLY] supportive [PERIOD]
supportive [IMPLY] alert [PERIOD]
thoughtful [IMPLY] comfortable [PERIOD]
famous [AND] distinct [AND] glamorous [IMPLY] supportive [PERIOD]
distinct [AND] easy [IMPLY] clumsy [PERIOD]
impatient [AND] comfortable [IMPLY] spotless [PERIOD]
worrisome [AND] thoughtful [IMPLY] easy [PERIOD]
impatient [AND] spotless [AND] inquisitive [IMPLY] worrisome [PERIOD]
distinct [IMPLY] glamorous [PERIOD]
spotless [IMPLY] fine [PERIOD]
clumsy [AND] cute [IMPLY] glamorous [PERIOD]
mean [AND] rude [IMPLY] fine [PERIOD]
frightened [IMPLY] cute [PERIOD]
sincere [AND] clumsy [IMPLY] shiny [PERIOD]
bored [IMPLY] famous [PERIOD]
rational [AND] comfortable [IMPLY] cute [PERIOD]
comfortable [IMPLY] rational [PERIOD]
alert [AND] witty [AND] powerful [IMPLY] fine [PERIOD]
powerful [AND] easy [IMPLY] shiny [PERIOD]
Query: Alice is messy [PERIOD]","Proof chain:
   inquisitive ⇒ easy
   comfortable ⇒ witty
   witty ⇒ worrisome
   worrisome ∧ comfortable ∧ rude ⇒ bored
   inquisitive ∧ bored ⇒ frightened
   comfortable ∧ easy ∧ frightened ⇒ messy
",1,6
"Facts:  Alice is plain [PERIOD]
Rules:
popular [AND] alert [IMPLY] excited [PERIOD]
excited [IMPLY] grumpy [PERIOD]
strange [IMPLY] reserved [PERIOD]
plain [AND] grumpy [IMPLY] tame [PERIOD]
reserved [AND] talented [AND] strange [IMPLY] grumpy [PERIOD]
alert [IMPLY] tame [PERIOD]
talented [IMPLY] reserved [PERIOD]
plain [AND] popular [AND] elegant [IMPLY] excited [PERIOD]
alert [IMPLY] popular [PERIOD]
strange [AND] grumpy [AND] talented [IMPLY] tame [PERIOD]
alert [AND] reserved [AND] plain [IMPLY] strange [PERIOD]
talented [IMPLY] elegant [PERIOD]
tame [AND] popular [IMPLY] reserved [PERIOD]
alert [AND] reserved [AND] grumpy [IMPLY] tame [PERIOD]
reserved [IMPLY] alert [PERIOD]
elegant [AND] tame [IMPLY] grumpy [PERIOD]
excited [AND] strange [IMPLY] talented [PERIOD]
popular [AND] grumpy [AND] plain [IMPLY] elegant [PERIOD]
grumpy [AND] talented [AND] plain [IMPLY] strange [PERIOD]
talented [AND] tame [IMPLY] elegant [PERIOD]
elegant [AND] strange [IMPLY] tame [PERIOD]
plain [IMPLY] talented [PERIOD]
alert [IMPLY] excited [PERIOD]
strange [AND] talented [IMPLY] tame [PERIOD]
alert [IMPLY] elegant [PERIOD]
excited [IMPLY] reserved [PERIOD]
popular [AND] grumpy [IMPLY] excited [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   plain ⇒ talented
   talented ⇒ reserved
   reserved ⇒ alert
   plain ⇒ talented
   talented ⇒ reserved
   alert ∧ reserved ∧ plain ⇒ strange
",1,6
"Facts: 
Rules:
agreeable [IMPLY] sensible [PERIOD]
grumpy [AND] sensible [IMPLY] naughty [PERIOD]
sensible [IMPLY] agreeable [PERIOD]
naughty [IMPLY] messy [PERIOD]
sensible [AND] agreeable [IMPLY] naughty [PERIOD]
messy [AND] grumpy [IMPLY] sensible [PERIOD]
messy [IMPLY] grumpy [PERIOD]
grumpy [AND] naughty [IMPLY] sensible [PERIOD]
messy [IMPLY] naughty [PERIOD]
naughty [AND] messy [AND] agreeable [IMPLY] sensible [PERIOD]
naughty [IMPLY] agreeable [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   Cannot apply rule “messy ⇒ grumpy” because missing: messy.
",0,1
"Facts:  Alice is shiny [PERIOD] Alice is jittery [PERIOD]
Rules:
talkative [AND] jittery [AND] old-fashioned [IMPLY] mysterious [PERIOD]
diplomatic [AND] old-fashioned [IMPLY] mysterious [PERIOD]
troubled [AND] talkative [AND] jittery [IMPLY] adorable [PERIOD]
old-fashioned [AND] mysterious [IMPLY] troubled [PERIOD]
mysterious [AND] popular [AND] adorable [IMPLY] troubled [PERIOD]
shiny [AND] mysterious [AND] diplomatic [IMPLY] popular [PERIOD]
shiny [IMPLY] mysterious [PERIOD]
jittery [AND] adorable [IMPLY] shiny [PERIOD]
diplomatic [AND] mysterious [AND] talkative [IMPLY] old-fashioned [PERIOD]
shiny [AND] popular [AND] diplomatic [IMPLY] troubled [PERIOD]
popular [AND] shiny [AND] diplomatic [IMPLY] adorable [PERIOD]
troubled [IMPLY] popular [PERIOD]
diplomatic [IMPLY] mysterious [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   shiny ⇒ mysterious
   Cannot apply rule “diplomatic ∧ mysterious ∧ talkative ⇒ old-fashioned” because missing: diplomatic, talkative.
",0,2
"Facts:  Alice is cute [PERIOD] Alice is strange [PERIOD] Alice is bored [PERIOD] Alice is hurt [PERIOD] Alice is naughty [PERIOD] Alice is mean [PERIOD] Alice is exuberant [PERIOD] Alice is bad-tempered [PERIOD] Alice is combative [PERIOD] Alice is precious [PERIOD] Alice is troubled [PERIOD] Alice is crowded [PERIOD] Alice is uptight [PERIOD] Alice is old-fashioned [PERIOD] Alice is thoughtful [PERIOD] Alice is distinct [PERIOD] Alice is muddy [PERIOD]
Rules:
old-fashioned [IMPLY] adorable [PERIOD]
distinct [AND] strange [AND] precious [IMPLY] attentive [PERIOD]
old-fashioned [AND] thoughtful [IMPLY] condemned [PERIOD]
attentive [AND] combative [AND] ugliest [IMPLY] crowded [PERIOD]
hurt [IMPLY] curious [PERIOD]
mean [AND] attentive [IMPLY] hurt [PERIOD]
attractive [AND] muddy [IMPLY] thoughtful [PERIOD]
mean [AND] muddy [IMPLY] bored [PERIOD]
condemned [IMPLY] uptight [PERIOD]
curious [AND] ugliest [IMPLY] exuberant [PERIOD]
bored [AND] vivacious [IMPLY] attentive [PERIOD]
muddy [AND] agreeable [AND] troubled [IMPLY] ugliest [PERIOD]
attractive [AND] strange [AND] cute [IMPLY] hurt [PERIOD]
agreeable [AND] hurt [IMPLY] thoughtful [PERIOD]
naughty [AND] agreeable [IMPLY] bored [PERIOD]
mean [AND] outstanding [IMPLY] anxious [PERIOD]
anxious [IMPLY] crowded [PERIOD]
anxious [AND] hurt [IMPLY] vivacious [PERIOD]
distinct [AND] adorable [IMPLY] ugliest [PERIOD]
attractive [IMPLY] bored [PERIOD]
agreeable [AND] outstanding [AND] mean [IMPLY] combative [PERIOD]
old-fashioned [AND] troubled [IMPLY] ugliest [PERIOD]
old-fashioned [AND] agreeable [AND] attractive [IMPLY] precious [PERIOD]
troubled [AND] bad-tempered [AND] vivacious [IMPLY] attractive [PERIOD]
distinct [AND] attentive [AND] ugliest [IMPLY] uptight [PERIOD]
bad-tempered [AND] muddy [IMPLY] attractive [PERIOD]
curious [AND] adorable [IMPLY] bored [PERIOD]
mean [AND] naughty [AND] cute [IMPLY] outstanding [PERIOD]
muddy [IMPLY] uptight [PERIOD]
thoughtful [AND] hurt [IMPLY] attractive [PERIOD]
curious [IMPLY] troubled [PERIOD]
crowded [IMPLY] old-fashioned [PERIOD]
distinct [AND] bad-tempered [IMPLY] troubled [PERIOD]
uptight [AND] muddy [AND] hurt [IMPLY] troubled [PERIOD]
vivacious [AND] uptight [AND] condemned [IMPLY] outstanding [PERIOD]
attentive [AND] exuberant [AND] naughty [IMPLY] outstanding [PERIOD]
bored [AND] agreeable [AND] thoughtful [IMPLY] naughty [PERIOD]
hurt [IMPLY] ugliest [PERIOD]
curious [IMPLY] attractive [PERIOD]
ugliest [AND] bad-tempered [IMPLY] combative [PERIOD]
strange [IMPLY] thoughtful [PERIOD]
distinct [AND] curious [IMPLY] attractive [PERIOD]
cute [AND] exuberant [AND] attractive [IMPLY] attentive [PERIOD]
attractive [AND] cute [IMPLY] attentive [PERIOD]
vivacious [AND] attractive [IMPLY] anxious [PERIOD]
mean [IMPLY] adorable [PERIOD]
attractive [IMPLY] precious [PERIOD]
precious [AND] muddy [AND] cute [IMPLY] uptight [PERIOD]
distinct [AND] outstanding [IMPLY] curious [PERIOD]
thoughtful [AND] crowded [IMPLY] bored [PERIOD]
attentive [AND] strange [AND] crowded [IMPLY] outstanding [PERIOD]
strange [AND] old-fashioned [AND] attractive [IMPLY] exuberant [PERIOD]
combative [IMPLY] outstanding [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   combative ⇒ outstanding
   mean ∧ outstanding ⇒ anxious
",1,2
"Facts:  Alice is witty [PERIOD] Alice is innocent [PERIOD] Alice is zealous [PERIOD] Alice is ugly [PERIOD] Alice is cute [PERIOD] Alice is agreeable [PERIOD] Alice is attractive [PERIOD] Alice is jittery [PERIOD] Alice is condemned [PERIOD] Alice is stormy [PERIOD] Alice is naughty [PERIOD] Alice is quaint [PERIOD] Alice is inexpensive [PERIOD] Alice is mysterious [PERIOD] Alice is difficult [PERIOD]
Rules:
ugly [IMPLY] innocent [PERIOD]
ugly [AND] agreeable [IMPLY] difficult [PERIOD]
inexpensive [AND] mysterious [IMPLY] amused [PERIOD]
zealous [IMPLY] charming [PERIOD]
quaint [IMPLY] difficult [PERIOD]
pessimistic [AND] ugly [AND] condemned [IMPLY] plain [PERIOD]
condemned [AND] mysterious [IMPLY] naughty [PERIOD]
cute [AND] mysterious [AND] inexpensive [IMPLY] troubled [PERIOD]
witty [AND] difficult [AND] troubled [IMPLY] innocent [PERIOD]
ugly [AND] agreeable [IMPLY] amused [PERIOD]
mysterious [IMPLY] troubled [PERIOD]
pessimistic [AND] plain [AND] amused [IMPLY] jittery [PERIOD]
naughty [IMPLY] charming [PERIOD]
quaint [IMPLY] innocent [PERIOD]
inexpensive [IMPLY] attractive [PERIOD]
attractive [AND] charming [IMPLY] agreeable [PERIOD]
mysterious [AND] quaint [IMPLY] jittery [PERIOD]
witty [IMPLY] stormy [PERIOD]
condemned [AND] naughty [IMPLY] cute [PERIOD]
attractive [AND] troubled [IMPLY] stormy [PERIOD]
ugly [IMPLY] charming [PERIOD]
stormy [IMPLY] troubled [PERIOD]
inexpensive [AND] witty [IMPLY] stormy [PERIOD]
attractive [AND] quaint [IMPLY] ugly [PERIOD]
innocent [AND] jittery [AND] amused [IMPLY] troubled [PERIOD]
condemned [AND] zealous [AND] charming [IMPLY] witty [PERIOD]
cute [AND] condemned [IMPLY] amused [PERIOD]
plain [AND] witty [AND] zealous [IMPLY] difficult [PERIOD]
innocent [AND] zealous [AND] attractive [IMPLY] cute [PERIOD]
quaint [IMPLY] amused [PERIOD]
amused [AND] troubled [IMPLY] cute [PERIOD]
inexpensive [IMPLY] mysterious [PERIOD]
witty [AND] cute [IMPLY] agreeable [PERIOD]
agreeable [AND] charming [AND] attractive [IMPLY] stormy [PERIOD]
innocent [IMPLY] witty [PERIOD]
condemned [IMPLY] jittery [PERIOD]
troubled [AND] inexpensive [IMPLY] plain [PERIOD]
cute [AND] agreeable [AND] inexpensive [IMPLY] witty [PERIOD]
zealous [AND] cute [IMPLY] inexpensive [PERIOD]
charming [AND] innocent [IMPLY] troubled [PERIOD]
plain [AND] agreeable [AND] witty [IMPLY] jittery [PERIOD]
agreeable [AND] plain [IMPLY] attractive [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is weary [PERIOD] Alice is tame [PERIOD] Alice is cooperative [PERIOD] Alice is sensible [PERIOD] Alice is fragile [PERIOD]
Rules:
difficult [AND] uptight [IMPLY] witty [PERIOD]
friendly [AND] thoughtful [IMPLY] condemned [PERIOD]
weary [AND] friendly [IMPLY] glamorous [PERIOD]
weary [AND] fragile [AND] attractive [IMPLY] thoughtless [PERIOD]
cooperative [AND] witty [AND] dishonest [IMPLY] uptight [PERIOD]
friendly [IMPLY] glamorous [PERIOD]
long [AND] distinct [IMPLY] dishonest [PERIOD]
tame [AND] glamorous [AND] sensible [IMPLY] anxious [PERIOD]
weary [IMPLY] difficult [PERIOD]
clumsy [AND] tame [IMPLY] difficult [PERIOD]
wrong [AND] disgusted [AND] fragile [IMPLY] weary [PERIOD]
condemned [AND] difficult [IMPLY] distinct [PERIOD]
cooperative [IMPLY] condemned [PERIOD]
uptight [IMPLY] fragile [PERIOD]
condemned [AND] difficult [IMPLY] long [PERIOD]
distinct [AND] tame [AND] disgusted [IMPLY] comfortable [PERIOD]
difficult [AND] gifted [IMPLY] disgusted [PERIOD]
glamorous [AND] friendly [IMPLY] uptight [PERIOD]
disgusted [AND] comfortable [IMPLY] attractive [PERIOD]
comfortable [IMPLY] glamorous [PERIOD]
uptight [AND] glamorous [IMPLY] distinct [PERIOD]
dishonest [IMPLY] uptight [PERIOD]
cooperative [AND] weary [IMPLY] wrong [PERIOD]
thoughtful [AND] attractive [AND] glamorous [IMPLY] troubled [PERIOD]
difficult [IMPLY] witty [PERIOD]
gifted [IMPLY] tame [PERIOD]
witty [IMPLY] distinct [PERIOD]
clumsy [AND] cooperative [IMPLY] fragile [PERIOD]
witty [AND] weary [AND] long [IMPLY] gifted [PERIOD]
troubled [IMPLY] cooperative [PERIOD]
clumsy [AND] witty [AND] friendly [IMPLY] anxious [PERIOD]
weary [AND] thoughtful [IMPLY] attractive [PERIOD]
tame [AND] troubled [IMPLY] witty [PERIOD]
distinct [IMPLY] condemned [PERIOD]
friendly [IMPLY] tame [PERIOD]
attractive [AND] glamorous [IMPLY] uptight [PERIOD]
clumsy [AND] anxious [AND] friendly [IMPLY] comfortable [PERIOD]
clumsy [AND] glamorous [AND] difficult [IMPLY] condemned [PERIOD]
comfortable [AND] condemned [AND] glamorous [IMPLY] friendly [PERIOD]
dishonest [AND] fragile [AND] wrong [IMPLY] attractive [PERIOD]
gifted [AND] dishonest [AND] weary [IMPLY] clumsy [PERIOD]
long [AND] witty [IMPLY] glamorous [PERIOD]
distinct [IMPLY] tame [PERIOD]
gifted [AND] sensible [AND] distinct [IMPLY] disgusted [PERIOD]
sensible [AND] wrong [AND] glamorous [IMPLY] uptight [PERIOD]
thoughtful [IMPLY] friendly [PERIOD]
distinct [IMPLY] glamorous [PERIOD]
fragile [AND] friendly [AND] long [IMPLY] comfortable [PERIOD]
comfortable [IMPLY] cooperative [PERIOD]
wrong [AND] witty [AND] distinct [IMPLY] tame [PERIOD]
wrong [AND] comfortable [IMPLY] condemned [PERIOD]
disgusted [AND] friendly [IMPLY] thoughtful [PERIOD]
glamorous [AND] weary [AND] disgusted [IMPLY] anxious [PERIOD]
wrong [AND] uptight [IMPLY] comfortable [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   cooperative ⇒ condemned
   weary ⇒ difficult
   condemned ∧ difficult ⇒ distinct
   distinct ⇒ glamorous
   tame ∧ glamorous ∧ sensible ⇒ anxious
",1,5
"Facts:  Alice is scared [PERIOD] Alice is worried [PERIOD] Alice is proud [PERIOD]
Rules:
combative [IMPLY] scared [PERIOD]
comfortable [AND] tense [IMPLY] embarrassed [PERIOD]
tender [AND] innocent [IMPLY] worried [PERIOD]
pessimistic [IMPLY] supportive [PERIOD]
unpleasant [AND] grumpy [IMPLY] scared [PERIOD]
scared [AND] unpleasant [IMPLY] tender [PERIOD]
supportive [IMPLY] comfortable [PERIOD]
cooperative [AND] scared [AND] grumpy [IMPLY] combative [PERIOD]
tender [AND] proud [IMPLY] comfortable [PERIOD]
proud [IMPLY] worried [PERIOD]
grumpy [AND] supportive [IMPLY] scared [PERIOD]
stormy [AND] innocent [AND] worried [IMPLY] unpleasant [PERIOD]
scared [IMPLY] unpleasant [PERIOD]
tender [IMPLY] unpleasant [PERIOD]
innocent [AND] tense [AND] proud [IMPLY] combative [PERIOD]
tender [AND] comfortable [IMPLY] tense [PERIOD]
cooperative [AND] pessimistic [IMPLY] scared [PERIOD]
grumpy [IMPLY] supportive [PERIOD]
tender [AND] scared [IMPLY] combative [PERIOD]
pessimistic [AND] supportive [AND] tense [IMPLY] comfortable [PERIOD]
supportive [AND] grumpy [AND] pessimistic [IMPLY] innocent [PERIOD]
innocent [AND] comfortable [AND] supportive [IMPLY] tender [PERIOD]
combative [AND] cooperative [IMPLY] supportive [PERIOD]
worried [AND] unpleasant [AND] tense [IMPLY] pessimistic [PERIOD]
pessimistic [AND] innocent [IMPLY] comfortable [PERIOD]
proud [AND] innocent [IMPLY] worried [PERIOD]
worried [AND] embarrassed [IMPLY] combative [PERIOD]
embarrassed [IMPLY] combative [PERIOD]
pessimistic [AND] cooperative [IMPLY] embarrassed [PERIOD]
combative [IMPLY] pessimistic [PERIOD]
innocent [IMPLY] pessimistic [PERIOD]
cooperative [IMPLY] proud [PERIOD]
scared [AND] supportive [AND] grumpy [IMPLY] worried [PERIOD]
grumpy [AND] pessimistic [IMPLY] combative [PERIOD]
scared [AND] embarrassed [AND] grumpy [IMPLY] worried [PERIOD]
pessimistic [IMPLY] stormy [PERIOD]
tender [AND] tense [AND] scared [IMPLY] proud [PERIOD]
stormy [AND] tense [AND] worried [IMPLY] scared [PERIOD]
proud [AND] embarrassed [AND] stormy [IMPLY] tense [PERIOD]
innocent [AND] grumpy [IMPLY] embarrassed [PERIOD]
innocent [IMPLY] worried [PERIOD]
supportive [AND] comfortable [AND] tense [IMPLY] grumpy [PERIOD]
embarrassed [IMPLY] pessimistic [PERIOD]
innocent [AND] unpleasant [IMPLY] embarrassed [PERIOD]
tense [IMPLY] cooperative [PERIOD]
comfortable [IMPLY] unpleasant [PERIOD]
embarrassed [AND] scared [AND] tender [IMPLY] grumpy [PERIOD]
combative [AND] supportive [IMPLY] scared [PERIOD]
embarrassed [AND] combative [IMPLY] innocent [PERIOD]
supportive [AND] grumpy [IMPLY] pessimistic [PERIOD]
comfortable [AND] innocent [AND] combative [IMPLY] proud [PERIOD]
innocent [AND] unpleasant [IMPLY] scared [PERIOD]
scared [AND] tense [AND] stormy [IMPLY] worried [PERIOD]
comfortable [AND] supportive [AND] tender [IMPLY] grumpy [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   scared ⇒ unpleasant
   scared ∧ unpleasant ⇒ tender
   tender ∧ scared ⇒ combative
   combative ⇒ pessimistic
",1,4
"Facts:  Alice is different [PERIOD] Alice is amused [PERIOD] Alice is careless [PERIOD] Alice is hypocritical [PERIOD] Alice is selfish [PERIOD] Alice is alert [PERIOD] Alice is fragile [PERIOD] Alice is pleasant [PERIOD] Alice is reserved [PERIOD] Alice is busy [PERIOD] Alice is victorious [PERIOD] Alice is bored [PERIOD] Alice is impartial [PERIOD] Alice is good [PERIOD] Alice is precious [PERIOD]
Rules:
hypocritical [AND] pleasant [AND] attentive [IMPLY] fragile [PERIOD]
alert [AND] hypocritical [IMPLY] reserved [PERIOD]
precious [IMPLY] victorious [PERIOD]
careless [AND] victorious [AND] selfish [IMPLY] different [PERIOD]
selfish [AND] amused [AND] hypocritical [IMPLY] fragile [PERIOD]
hypocritical [AND] impartial [AND] reserved [IMPLY] careless [PERIOD]
busy [AND] victorious [IMPLY] inexpensive [PERIOD]
busy [IMPLY] careless [PERIOD]
different [AND] bored [IMPLY] pleasant [PERIOD]
amused [AND] busy [AND] precious [IMPLY] hypocritical [PERIOD]
selfish [AND] different [AND] good [IMPLY] attentive [PERIOD]
careless [IMPLY] selfish [PERIOD]
victorious [IMPLY] hypocritical [PERIOD]
impartial [IMPLY] victorious [PERIOD]
busy [AND] good [AND] attentive [IMPLY] victorious [PERIOD]
precious [IMPLY] alert [PERIOD]
victorious [IMPLY] reserved [PERIOD]
good [AND] precious [AND] amused [IMPLY] different [PERIOD]
impartial [IMPLY] bored [PERIOD]
selfish [AND] different [AND] bored [IMPLY] victorious [PERIOD]
precious [AND] inexpensive [AND] hypocritical [IMPLY] fragile [PERIOD]
alert [AND] busy [AND] attentive [IMPLY] selfish [PERIOD]
reserved [AND] hypocritical [IMPLY] precious [PERIOD]
selfish [IMPLY] fragile [PERIOD]
attentive [AND] fragile [IMPLY] victorious [PERIOD]
fragile [AND] reserved [IMPLY] precious [PERIOD]
attentive [AND] victorious [AND] careless [IMPLY] good [PERIOD]
hypocritical [AND] amused [IMPLY] good [PERIOD]
inexpensive [AND] impartial [IMPLY] amused [PERIOD]
impartial [IMPLY] busy [PERIOD]
fragile [IMPLY] selfish [PERIOD]
pleasant [AND] selfish [AND] busy [IMPLY] victorious [PERIOD]
careless [AND] attentive [AND] alert [IMPLY] hypocritical [PERIOD]
fragile [AND] busy [IMPLY] amused [PERIOD]
good [AND] precious [AND] impartial [IMPLY] selfish [PERIOD]
fragile [AND] good [IMPLY] amused [PERIOD]
hypocritical [AND] attentive [AND] victorious [IMPLY] busy [PERIOD]
precious [AND] selfish [AND] hypocritical [IMPLY] reserved [PERIOD]
reserved [AND] careless [AND] precious [IMPLY] different [PERIOD]
different [AND] pleasant [IMPLY] selfish [PERIOD]
attentive [AND] reserved [AND] precious [IMPLY] selfish [PERIOD]
selfish [AND] hypocritical [IMPLY] bored [PERIOD]
careless [AND] hypocritical [IMPLY] good [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is careless [PERIOD]
Rules:
versatile [AND] inexpensive [AND] confident [IMPLY] careless [PERIOD]
fine [AND] versatile [IMPLY] inexpensive [PERIOD]
fine [AND] reserved [IMPLY] versatile [PERIOD]
inexpensive [AND] careless [AND] reserved [IMPLY] fine [PERIOD]
reserved [AND] inexpensive [IMPLY] fine [PERIOD]
fine [AND] inexpensive [IMPLY] confident [PERIOD]
reserved [AND] versatile [AND] confident [IMPLY] fine [PERIOD]
reserved [IMPLY] inexpensive [PERIOD]
fine [AND] confident [AND] careless [IMPLY] reserved [PERIOD]
inexpensive [AND] confident [AND] careless [IMPLY] versatile [PERIOD]
confident [AND] reserved [IMPLY] versatile [PERIOD]
careless [AND] fine [AND] reserved [IMPLY] versatile [PERIOD]
inexpensive [IMPLY] reserved [PERIOD]
confident [IMPLY] fine [PERIOD]
careless [IMPLY] inexpensive [PERIOD]
versatile [AND] confident [IMPLY] careless [PERIOD]
inexpensive [AND] versatile [AND] careless [IMPLY] fine [PERIOD]
careless [AND] reserved [IMPLY] inexpensive [PERIOD]
Query: Alice is versatile [PERIOD]","Proof chain:
   careless ⇒ inexpensive
   careless ⇒ inexpensive
   inexpensive ⇒ reserved
   inexpensive ∧ careless ∧ reserved ⇒ fine
   careless ⇒ inexpensive
   inexpensive ⇒ reserved
   fine ∧ reserved ⇒ versatile
",1,7
"Facts: 
Rules:
smart [IMPLY] courageous [PERIOD]
talkative [IMPLY] cute [PERIOD]
gifted [AND] courageous [AND] supportive [IMPLY] smart [PERIOD]
outrageous [AND] smart [AND] talkative [IMPLY] supportive [PERIOD]
cute [IMPLY] supportive [PERIOD]
gifted [AND] cute [AND] hypocritical [IMPLY] supportive [PERIOD]
smart [AND] hypocritical [IMPLY] gifted [PERIOD]
hypocritical [AND] cute [AND] talkative [IMPLY] smart [PERIOD]
reserved [IMPLY] powerful [PERIOD]
smart [AND] supportive [AND] gifted [IMPLY] talkative [PERIOD]
cute [IMPLY] powerful [PERIOD]
gifted [AND] supportive [IMPLY] reserved [PERIOD]
smart [AND] gifted [AND] cute [IMPLY] hypocritical [PERIOD]
supportive [AND] powerful [IMPLY] gifted [PERIOD]
reserved [AND] courageous [AND] supportive [IMPLY] gifted [PERIOD]
gifted [AND] outrageous [IMPLY] cute [PERIOD]
powerful [IMPLY] smart [PERIOD]
talkative [IMPLY] gifted [PERIOD]
courageous [AND] powerful [IMPLY] gifted [PERIOD]
hypocritical [IMPLY] courageous [PERIOD]
Query: Alice is gifted [PERIOD]","Proof chain:
   Cannot apply rule “smart ∧ hypocritical ⇒ gifted” because missing: smart, hypocritical.
   Cannot apply rule “supportive ∧ powerful ⇒ gifted” because missing: supportive, powerful.
   Cannot apply rule “reserved ∧ courageous ∧ supportive ⇒ gifted” because missing: reserved, courageous, supportive.
   Cannot apply rule “talkative ⇒ gifted” because missing: talkative.
   Cannot apply rule “courageous ∧ powerful ⇒ gifted” because missing: courageous, powerful.
",0,5
"Facts:  Alice is worrisome [PERIOD]
Rules:
famous [AND] helpless [IMPLY] mean [PERIOD]
helpless [AND] cooperative [IMPLY] worrisome [PERIOD]
scared [IMPLY] perfect [PERIOD]
famous [IMPLY] scared [PERIOD]
scared [IMPLY] broad-minded [PERIOD]
scared [AND] perfect [IMPLY] helpless [PERIOD]
broad-minded [IMPLY] famous [PERIOD]
cooperative [IMPLY] helpless [PERIOD]
perfect [AND] famous [AND] helpless [IMPLY] cooperative [PERIOD]
perfect [AND] famous [AND] broad-minded [IMPLY] scared [PERIOD]
helpless [IMPLY] perfect [PERIOD]
mean [AND] scared [IMPLY] famous [PERIOD]
perfect [AND] scared [AND] cooperative [IMPLY] helpless [PERIOD]
famous [AND] scared [AND] mean [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] cooperative [PERIOD]
mean [AND] broad-minded [IMPLY] perfect [PERIOD]
broad-minded [IMPLY] scared [PERIOD]
famous [IMPLY] perfect [PERIOD]
cooperative [AND] broad-minded [AND] scared [IMPLY] famous [PERIOD]
mean [AND] worrisome [AND] perfect [IMPLY] famous [PERIOD]
mean [IMPLY] perfect [PERIOD]
helpless [AND] mean [AND] broad-minded [IMPLY] famous [PERIOD]
helpless [AND] famous [IMPLY] perfect [PERIOD]
cooperative [IMPLY] mean [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “scared ⇒ perfect” because missing: scared.
   Cannot apply rule “helpless ⇒ perfect” because missing: helpless.
   Cannot apply rule “mean ∧ broad-minded ⇒ perfect” because missing: mean, broad-minded.
   Cannot apply rule “famous ⇒ perfect” because missing: famous.
   Cannot apply rule “mean ⇒ perfect” because missing: mean.
   Cannot apply rule “helpless ∧ famous ⇒ perfect” because missing: helpless, famous.
",0,6
"Facts:  Alice is horrible [PERIOD] Alice is worried [PERIOD] Alice is tidy [PERIOD]
Rules:
smart [AND] straightforward [AND] worried [IMPLY] combative [PERIOD]
tidy [IMPLY] combative [PERIOD]
careless [IMPLY] horrible [PERIOD]
talented [AND] smart [AND] jittery [IMPLY] combative [PERIOD]
horrible [IMPLY] good [PERIOD]
worried [AND] careless [AND] tidy [IMPLY] talented [PERIOD]
smart [AND] horrible [AND] careless [IMPLY] tidy [PERIOD]
smart [AND] combative [AND] tidy [IMPLY] careless [PERIOD]
horrible [AND] tidy [AND] worried [IMPLY] good [PERIOD]
combative [AND] good [IMPLY] smart [PERIOD]
careless [AND] good [AND] smart [IMPLY] horrible [PERIOD]
smart [IMPLY] talented [PERIOD]
combative [AND] tidy [IMPLY] careless [PERIOD]
careless [AND] straightforward [IMPLY] combative [PERIOD]
horrible [AND] combative [AND] good [IMPLY] smart [PERIOD]
combative [AND] smart [AND] tidy [IMPLY] good [PERIOD]
worried [AND] jittery [AND] talented [IMPLY] smart [PERIOD]
horrible [IMPLY] straightforward [PERIOD]
talented [AND] straightforward [AND] careless [IMPLY] tidy [PERIOD]
combative [AND] horrible [IMPLY] jittery [PERIOD]
straightforward [AND] worried [AND] good [IMPLY] careless [PERIOD]
straightforward [IMPLY] jittery [PERIOD]
tidy [AND] worried [AND] jittery [IMPLY] straightforward [PERIOD]
jittery [AND] worried [IMPLY] tidy [PERIOD]
jittery [AND] straightforward [AND] horrible [IMPLY] talented [PERIOD]
smart [AND] jittery [IMPLY] good [PERIOD]
good [AND] combative [IMPLY] horrible [PERIOD]
combative [AND] talented [IMPLY] careless [PERIOD]
worried [AND] jittery [AND] talented [IMPLY] careless [PERIOD]
careless [AND] jittery [AND] horrible [IMPLY] good [PERIOD]
combative [IMPLY] tidy [PERIOD]
careless [AND] tidy [IMPLY] good [PERIOD]
smart [AND] straightforward [IMPLY] jittery [PERIOD]
smart [AND] careless [IMPLY] combative [PERIOD]
horrible [AND] good [AND] talented [IMPLY] worried [PERIOD]
straightforward [AND] careless [AND] good [IMPLY] combative [PERIOD]
smart [AND] horrible [IMPLY] worried [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is gleaming [PERIOD] Alice is ugliest [PERIOD] Alice is stormy [PERIOD] Alice is modern [PERIOD] Alice is popular [PERIOD]
Rules:
loving [IMPLY] gleaming [PERIOD]
attractive [IMPLY] gleaming [PERIOD]
homely [AND] intellectual [IMPLY] stupid [PERIOD]
rational [AND] loving [IMPLY] worried [PERIOD]
exuberant [IMPLY] popular [PERIOD]
stormy [AND] worried [IMPLY] popular [PERIOD]
stormy [IMPLY] exuberant [PERIOD]
difficult [IMPLY] stupid [PERIOD]
attractive [AND] wrong [IMPLY] homely [PERIOD]
bad-tempered [AND] ugliest [IMPLY] difficult [PERIOD]
popular [IMPLY] wrong [PERIOD]
stupid [AND] loving [IMPLY] dull [PERIOD]
popular [AND] bad-tempered [AND] tidy [IMPLY] exuberant [PERIOD]
attractive [AND] modern [AND] ugliest [IMPLY] bad-tempered [PERIOD]
rational [AND] loving [AND] difficult [IMPLY] exuberant [PERIOD]
intellectual [IMPLY] exuberant [PERIOD]
homely [AND] exuberant [IMPLY] wrong [PERIOD]
dull [AND] tidy [IMPLY] stupid [PERIOD]
bad-tempered [AND] worried [IMPLY] stormy [PERIOD]
modern [AND] homely [AND] ugliest [IMPLY] exuberant [PERIOD]
gleaming [AND] wrong [AND] attractive [IMPLY] homely [PERIOD]
homely [AND] bad-tempered [IMPLY] modern [PERIOD]
gleaming [AND] stormy [IMPLY] wrong [PERIOD]
worried [AND] rational [AND] stupid [IMPLY] modern [PERIOD]
bad-tempered [IMPLY] intellectual [PERIOD]
modern [IMPLY] dull [PERIOD]
bad-tempered [AND] stupid [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] modern [PERIOD]
loving [AND] dull [IMPLY] attractive [PERIOD]
tidy [AND] intellectual [IMPLY] rational [PERIOD]
popular [AND] dull [AND] stormy [IMPLY] ugliest [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   Cannot apply rule “homely ∧ intellectual ⇒ stupid” because missing: homely, intellectual.
   Cannot apply rule “difficult ⇒ stupid” because missing: difficult.
   modern ⇒ dull
   Cannot apply rule “dull ∧ tidy ⇒ stupid” because missing: tidy.
",0,4
"Facts:  Alice is mean [PERIOD] Alice is old-fashioned [PERIOD] Alice is crowded [PERIOD]
Rules:
impatient [AND] mean [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] mean [AND] impatient [IMPLY] helpful [PERIOD]
impatient [AND] helpful [AND] joyous [IMPLY] mean [PERIOD]
helpful [IMPLY] joyous [PERIOD]
crowded [AND] unpleasant [IMPLY] helpful [PERIOD]
mean [AND] joyous [IMPLY] unpleasant [PERIOD]
impatient [IMPLY] dull [PERIOD]
impatient [IMPLY] crowded [PERIOD]
helpful [AND] crowded [AND] mean [IMPLY] joyous [PERIOD]
dull [IMPLY] crowded [PERIOD]
mean [AND] unpleasant [AND] helpful [IMPLY] impatient [PERIOD]
mean [IMPLY] unpleasant [PERIOD]
dull [AND] joyous [AND] crowded [IMPLY] unpleasant [PERIOD]
unpleasant [AND] dull [AND] impatient [IMPLY] joyous [PERIOD]
unpleasant [AND] old-fashioned [AND] helpful [IMPLY] crowded [PERIOD]
crowded [IMPLY] mean [PERIOD]
mean [AND] dull [AND] crowded [IMPLY] impatient [PERIOD]
old-fashioned [AND] dull [AND] helpful [IMPLY] unpleasant [PERIOD]
dull [AND] crowded [AND] mean [IMPLY] joyous [PERIOD]
mean [IMPLY] crowded [PERIOD]
impatient [AND] unpleasant [AND] helpful [IMPLY] dull [PERIOD]
crowded [IMPLY] old-fashioned [PERIOD]
unpleasant [IMPLY] mean [PERIOD]
crowded [AND] impatient [AND] mean [IMPLY] old-fashioned [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
   mean ⇒ unpleasant
   crowded ∧ unpleasant ⇒ helpful
   helpful ⇒ joyous
",1,3
"Facts:  Alice is precious [PERIOD] Alice is straightforward [PERIOD] Alice is tender [PERIOD] Alice is fragile [PERIOD] Alice is agreeable [PERIOD] Alice is silly [PERIOD] Alice is scared [PERIOD] Alice is foolish [PERIOD] Alice is shy [PERIOD] Alice is powerful [PERIOD] Alice is spotless [PERIOD] Alice is cruel [PERIOD] Alice is quaint [PERIOD] Alice is diplomatic [PERIOD] Alice is lonely [PERIOD] Alice is versatile [PERIOD] Alice is condemned [PERIOD] Alice is victorious [PERIOD] Alice is aggressive [PERIOD] Alice is anxious [PERIOD] Alice is sensible [PERIOD] Alice is adorable [PERIOD] Alice is excited [PERIOD] Alice is vivacious [PERIOD]
Rules:
adorable [IMPLY] silly [PERIOD]
cruel [AND] straightforward [AND] shy [IMPLY] quaint [PERIOD]
condemned [AND] spotless [IMPLY] fragile [PERIOD]
wandering [IMPLY] scared [PERIOD]
vivacious [IMPLY] agreeable [PERIOD]
powerful [AND] victorious [IMPLY] vivacious [PERIOD]
silly [IMPLY] vivacious [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is cruel [PERIOD] Alice is lucky [PERIOD] Alice is embarrassed [PERIOD] Alice is unpleasant [PERIOD] Alice is helpless [PERIOD] Alice is beautiful [PERIOD] Alice is amused [PERIOD] Alice is enchanting [PERIOD] Alice is condemned [PERIOD] Alice is silly [PERIOD]
Rules:
embarrassed [IMPLY] silly [PERIOD]
disgusted [AND] good [AND] worrisome [IMPLY] condemned [PERIOD]
condemned [AND] quaint [AND] unpleasant [IMPLY] good [PERIOD]
silly [IMPLY] helpful [PERIOD]
quaint [IMPLY] helpful [PERIOD]
busy [AND] helpful [IMPLY] lucky [PERIOD]
thoughtful [AND] busy [IMPLY] helpful [PERIOD]
lucky [IMPLY] condemned [PERIOD]
enchanting [AND] worrisome [AND] embarrassed [IMPLY] strange [PERIOD]
helpful [AND] cruel [AND] quaint [IMPLY] naughty [PERIOD]
helpless [AND] cruel [AND] unpleasant [IMPLY] enchanting [PERIOD]
unpleasant [AND] worrisome [IMPLY] silly [PERIOD]
naughty [AND] busy [IMPLY] thoughtful [PERIOD]
helpless [IMPLY] condemned [PERIOD]
cruel [AND] helpless [IMPLY] embarrassed [PERIOD]
silly [AND] lucky [AND] naughty [IMPLY] good [PERIOD]
enchanting [AND] helpful [IMPLY] condemned [PERIOD]
amused [AND] disgusted [IMPLY] good [PERIOD]
naughty [AND] amused [IMPLY] disgusted [PERIOD]
busy [AND] helpless [AND] beautiful [IMPLY] cruel [PERIOD]
naughty [AND] silly [AND] enchanting [IMPLY] quaint [PERIOD]
busy [AND] lucky [IMPLY] embarrassed [PERIOD]
helpful [AND] cruel [AND] thoughtful [IMPLY] beautiful [PERIOD]
quaint [IMPLY] thoughtful [PERIOD]
naughty [IMPLY] disgusted [PERIOD]
helpless [AND] naughty [IMPLY] quaint [PERIOD]
condemned [AND] helpful [AND] thoughtful [IMPLY] busy [PERIOD]
worrisome [AND] good [IMPLY] beautiful [PERIOD]
thoughtful [IMPLY] helpless [PERIOD]
worrisome [AND] condemned [IMPLY] naughty [PERIOD]
thoughtful [IMPLY] helpful [PERIOD]
strange [AND] busy [AND] embarrassed [IMPLY] helpless [PERIOD]
strange [AND] condemned [IMPLY] lucky [PERIOD]
disgusted [AND] quaint [IMPLY] embarrassed [PERIOD]
thoughtful [AND] good [AND] disgusted [IMPLY] embarrassed [PERIOD]
worrisome [AND] condemned [AND] enchanting [IMPLY] thoughtful [PERIOD]
lucky [AND] busy [AND] helpless [IMPLY] thoughtful [PERIOD]
lucky [AND] quaint [IMPLY] disgusted [PERIOD]
disgusted [AND] embarrassed [IMPLY] strange [PERIOD]
strange [AND] condemned [AND] worrisome [IMPLY] naughty [PERIOD]
good [IMPLY] disgusted [PERIOD]
lucky [AND] worrisome [AND] embarrassed [IMPLY] strange [PERIOD]
busy [AND] naughty [AND] amused [IMPLY] quaint [PERIOD]
embarrassed [IMPLY] enchanting [PERIOD]
condemned [IMPLY] embarrassed [PERIOD]
beautiful [AND] condemned [IMPLY] thoughtful [PERIOD]
good [IMPLY] worrisome [PERIOD]
strange [IMPLY] amused [PERIOD]
condemned [IMPLY] lucky [PERIOD]
embarrassed [IMPLY] thoughtful [PERIOD]
quaint [AND] helpful [IMPLY] cruel [PERIOD]
worrisome [AND] lucky [AND] cruel [IMPLY] naughty [PERIOD]
quaint [AND] embarrassed [AND] condemned [IMPLY] helpless [PERIOD]
naughty [AND] strange [IMPLY] helpful [PERIOD]
thoughtful [AND] embarrassed [IMPLY] lucky [PERIOD]
disgusted [AND] beautiful [AND] quaint [IMPLY] silly [PERIOD]
busy [AND] lucky [IMPLY] good [PERIOD]
good [AND] helpless [AND] enchanting [IMPLY] cruel [PERIOD]
silly [AND] strange [IMPLY] unpleasant [PERIOD]
disgusted [IMPLY] embarrassed [PERIOD]
condemned [IMPLY] thoughtful [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
   silly ⇒ helpful
   beautiful ∧ condemned ⇒ thoughtful
   condemned ∧ helpful ∧ thoughtful ⇒ busy
",1,3
"Facts:  Alice is impartial [PERIOD] Alice is reserved [PERIOD] Alice is elated [PERIOD]
Rules:
polite [AND] muddy [IMPLY] thoughtful [PERIOD]
beautiful [IMPLY] reserved [PERIOD]
powerful [AND] hypocritical [AND] joyous [IMPLY] charming [PERIOD]
reserved [IMPLY] stubborn [PERIOD]
thoughtful [AND] powerful [IMPLY] shiny [PERIOD]
supportive [IMPLY] busy [PERIOD]
dishonest [IMPLY] joyous [PERIOD]
thoughtful [AND] shiny [IMPLY] fearless [PERIOD]
versatile [IMPLY] elated [PERIOD]
impartial [IMPLY] shiny [PERIOD]
stubborn [IMPLY] popular [PERIOD]
polite [AND] crowded [AND] hypocritical [IMPLY] helpful [PERIOD]
busy [IMPLY] calm [PERIOD]
thoughtful [AND] charming [AND] reserved [IMPLY] calm [PERIOD]
charming [AND] calm [IMPLY] elated [PERIOD]
dishonest [AND] polite [IMPLY] popular [PERIOD]
polite [AND] supportive [IMPLY] old-fashioned [PERIOD]
dishonest [IMPLY] muddy [PERIOD]
thoughtful [AND] popular [IMPLY] reserved [PERIOD]
calm [AND] charming [AND] gorgeous [IMPLY] inquisitive [PERIOD]
shiny [AND] hypocritical [IMPLY] inquisitive [PERIOD]
hypocritical [AND] adorable [AND] charming [IMPLY] versatile [PERIOD]
powerful [IMPLY] charming [PERIOD]
impartial [AND] inquisitive [IMPLY] crowded [PERIOD]
helpful [AND] old-fashioned [AND] inquisitive [IMPLY] adorable [PERIOD]
precious [IMPLY] busy [PERIOD]
popular [AND] thoughtful [AND] stubborn [IMPLY] precious [PERIOD]
powerful [AND] charming [AND] inquisitive [IMPLY] old-fashioned [PERIOD]
fearless [AND] old-fashioned [AND] elated [IMPLY] popular [PERIOD]
gorgeous [AND] charming [AND] stubborn [IMPLY] hypocritical [PERIOD]
joyous [AND] muddy [IMPLY] popular [PERIOD]
muddy [IMPLY] helpful [PERIOD]
shiny [IMPLY] adorable [PERIOD]
stubborn [IMPLY] charming [PERIOD]
talented [IMPLY] charming [PERIOD]
muddy [AND] supportive [IMPLY] polite [PERIOD]
muddy [AND] calm [IMPLY] thoughtful [PERIOD]
dishonest [AND] reserved [AND] hypocritical [IMPLY] supportive [PERIOD]
gorgeous [AND] reserved [IMPLY] impartial [PERIOD]
reserved [AND] helpful [IMPLY] supportive [PERIOD]
shiny [IMPLY] precious [PERIOD]
reserved [IMPLY] gorgeous [PERIOD]
powerful [AND] dishonest [AND] elated [IMPLY] reserved [PERIOD]
muddy [AND] calm [AND] supportive [IMPLY] charming [PERIOD]
hypocritical [AND] adorable [IMPLY] charming [PERIOD]
impartial [AND] old-fashioned [IMPLY] talented [PERIOD]
shiny [AND] polite [AND] supportive [IMPLY] powerful [PERIOD]
muddy [AND] precious [AND] crowded [IMPLY] reserved [PERIOD]
old-fashioned [IMPLY] popular [PERIOD]
precious [IMPLY] helpful [PERIOD]
talented [AND] precious [IMPLY] crowded [PERIOD]
joyous [AND] talented [AND] crowded [IMPLY] reserved [PERIOD]
versatile [IMPLY] polite [PERIOD]
joyous [IMPLY] helpful [PERIOD]
thoughtful [AND] reserved [AND] supportive [IMPLY] gorgeous [PERIOD]
popular [AND] polite [AND] helpful [IMPLY] precious [PERIOD]
impartial [AND] precious [AND] busy [IMPLY] versatile [PERIOD]
muddy [AND] versatile [AND] powerful [IMPLY] impartial [PERIOD]
hypocritical [IMPLY] popular [PERIOD]
impartial [AND] helpful [AND] stubborn [IMPLY] old-fashioned [PERIOD]
hypocritical [AND] thoughtful [IMPLY] beautiful [PERIOD]
talented [AND] impartial [AND] polite [IMPLY] thoughtful [PERIOD]
popular [IMPLY] supportive [PERIOD]
charming [AND] joyous [AND] adorable [IMPLY] versatile [PERIOD]
shiny [AND] fearless [IMPLY] muddy [PERIOD]
inquisitive [IMPLY] crowded [PERIOD]
fearless [AND] adorable [IMPLY] calm [PERIOD]
stubborn [IMPLY] powerful [PERIOD]
polite [IMPLY] crowded [PERIOD]
charming [AND] joyous [IMPLY] adorable [PERIOD]
crowded [IMPLY] gorgeous [PERIOD]
beautiful [AND] inquisitive [IMPLY] elated [PERIOD]
helpful [AND] thoughtful [AND] supportive [IMPLY] versatile [PERIOD]
busy [AND] crowded [IMPLY] fearless [PERIOD]
impartial [AND] old-fashioned [IMPLY] shiny [PERIOD]
impartial [AND] old-fashioned [IMPLY] gorgeous [PERIOD]
elated [AND] versatile [AND] supportive [IMPLY] popular [PERIOD]
impartial [IMPLY] precious [PERIOD]
versatile [AND] gorgeous [AND] beautiful [IMPLY] reserved [PERIOD]
impartial [IMPLY] helpful [PERIOD]
supportive [IMPLY] fearless [PERIOD]
charming [AND] precious [IMPLY] inquisitive [PERIOD]
shiny [AND] versatile [IMPLY] reserved [PERIOD]
calm [IMPLY] stubborn [PERIOD]
fearless [AND] powerful [AND] gorgeous [IMPLY] crowded [PERIOD]
versatile [IMPLY] charming [PERIOD]
talented [IMPLY] popular [PERIOD]
hypocritical [AND] beautiful [IMPLY] dishonest [PERIOD]
stubborn [AND] helpful [IMPLY] inquisitive [PERIOD]
inquisitive [AND] muddy [AND] joyous [IMPLY] beautiful [PERIOD]
reserved [IMPLY] impartial [PERIOD]
muddy [IMPLY] impartial [PERIOD]
charming [IMPLY] thoughtful [PERIOD]
polite [AND] calm [IMPLY] inquisitive [PERIOD]
thoughtful [AND] old-fashioned [AND] dishonest [IMPLY] supportive [PERIOD]
beautiful [AND] busy [IMPLY] precious [PERIOD]
stubborn [AND] shiny [IMPLY] fearless [PERIOD]
old-fashioned [AND] supportive [IMPLY] elated [PERIOD]
polite [AND] helpful [AND] versatile [IMPLY] precious [PERIOD]
impartial [AND] muddy [AND] popular [IMPLY] talented [PERIOD]
busy [IMPLY] supportive [PERIOD]
old-fashioned [AND] busy [IMPLY] muddy [PERIOD]
adorable [IMPLY] hypocritical [PERIOD]
muddy [IMPLY] supportive [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   impartial ⇒ shiny
   reserved ⇒ stubborn
   impartial ⇒ shiny
   stubborn ∧ shiny ⇒ fearless
   shiny ∧ fearless ⇒ muddy
",1,5
"Facts:  Alice is helpful [PERIOD] Alice is stubborn [PERIOD] Alice is impatient [PERIOD] Alice is victorious [PERIOD] Alice is wandering [PERIOD] Alice is mysterious [PERIOD] Alice is elated [PERIOD] Alice is disgusted [PERIOD] Alice is sincere [PERIOD] Alice is zealous [PERIOD] Alice is tidy [PERIOD] Alice is attentive [PERIOD] Alice is broad-minded [PERIOD] Alice is versatile [PERIOD] Alice is elegant [PERIOD] Alice is ugliest [PERIOD] Alice is shiny [PERIOD]
Rules:
pessimistic [AND] disgusted [IMPLY] broad-minded [PERIOD]
ugly [IMPLY] wandering [PERIOD]
ugliest [AND] tidy [IMPLY] broad-minded [PERIOD]
stubborn [AND] impatient [IMPLY] ugliest [PERIOD]
pessimistic [IMPLY] shiny [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   No rule concludes “anxious.”
",0,1
"Facts:  Alice is helpful [PERIOD] Alice is mean [PERIOD] Alice is naughty [PERIOD] Alice is fearless [PERIOD] Alice is messy [PERIOD]
Rules:
frantic [IMPLY] strange [PERIOD]
helpful [AND] perfect [AND] gleaming [IMPLY] inquisitive [PERIOD]
intellectual [AND] straightforward [IMPLY] aggressive [PERIOD]
alert [AND] fearless [AND] perfect [IMPLY] disgusted [PERIOD]
perfect [AND] strange [AND] aggressive [IMPLY] outrageous [PERIOD]
impatient [IMPLY] disgusted [PERIOD]
messy [AND] strange [IMPLY] proud [PERIOD]
inquisitive [AND] naughty [IMPLY] fearless [PERIOD]
enchanting [AND] helpful [AND] serious [IMPLY] stupid [PERIOD]
enchanting [AND] muddy [IMPLY] messy [PERIOD]
comfortable [AND] alert [AND] condemned [IMPLY] fearless [PERIOD]
famous [IMPLY] gleaming [PERIOD]
stupid [IMPLY] disgusted [PERIOD]
strange [IMPLY] messy [PERIOD]
horrible [AND] straightforward [IMPLY] proud [PERIOD]
gleaming [AND] frantic [AND] comfortable [IMPLY] elegant [PERIOD]
naughty [IMPLY] disgusted [PERIOD]
proud [AND] helpful [IMPLY] condemned [PERIOD]
gleaming [AND] mean [AND] famous [IMPLY] enchanting [PERIOD]
serious [IMPLY] muddy [PERIOD]
proud [AND] alert [AND] elegant [IMPLY] muddy [PERIOD]
strange [AND] stupid [IMPLY] condemned [PERIOD]
elegant [AND] condemned [AND] mean [IMPLY] straightforward [PERIOD]
impatient [IMPLY] mean [PERIOD]
disgusted [IMPLY] elegant [PERIOD]
outrageous [AND] condemned [AND] helpful [IMPLY] disgusted [PERIOD]
strange [IMPLY] stupid [PERIOD]
alert [AND] proud [AND] helpful [IMPLY] muddy [PERIOD]
serious [AND] naughty [IMPLY] inquisitive [PERIOD]
fearless [AND] alert [AND] rational [IMPLY] disgusted [PERIOD]
perfect [AND] naughty [IMPLY] gleaming [PERIOD]
outrageous [AND] proud [IMPLY] horrible [PERIOD]
muddy [AND] sincere [IMPLY] gleaming [PERIOD]
condemned [AND] serious [IMPLY] strange [PERIOD]
disgusted [AND] messy [AND] enchanting [IMPLY] outrageous [PERIOD]
serious [AND] stupid [IMPLY] alert [PERIOD]
aggressive [AND] helpful [AND] proud [IMPLY] inquisitive [PERIOD]
helpful [AND] mean [AND] thoughtful [IMPLY] messy [PERIOD]
fearless [IMPLY] proud [PERIOD]
inquisitive [AND] muddy [AND] thoughtful [IMPLY] famous [PERIOD]
impatient [AND] messy [AND] comfortable [IMPLY] intellectual [PERIOD]
helpful [AND] enchanting [IMPLY] mean [PERIOD]
intellectual [AND] impatient [AND] muddy [IMPLY] proud [PERIOD]
impatient [AND] disgusted [AND] aggressive [IMPLY] straightforward [PERIOD]
enchanting [IMPLY] impatient [PERIOD]
gleaming [AND] disgusted [AND] thoughtful [IMPLY] stupid [PERIOD]
comfortable [AND] outrageous [AND] disgusted [IMPLY] helpful [PERIOD]
condemned [AND] intellectual [AND] sincere [IMPLY] serious [PERIOD]
intellectual [IMPLY] outrageous [PERIOD]
mean [AND] inquisitive [AND] helpful [IMPLY] straightforward [PERIOD]
naughty [AND] thoughtful [IMPLY] elegant [PERIOD]
helpful [AND] sincere [IMPLY] comfortable [PERIOD]
thoughtful [IMPLY] horrible [PERIOD]
strange [AND] outrageous [IMPLY] horrible [PERIOD]
frantic [IMPLY] disgusted [PERIOD]
mean [AND] condemned [AND] rational [IMPLY] straightforward [PERIOD]
serious [AND] inquisitive [AND] aggressive [IMPLY] frantic [PERIOD]
perfect [IMPLY] serious [PERIOD]
straightforward [AND] famous [IMPLY] mean [PERIOD]
frantic [IMPLY] perfect [PERIOD]
famous [IMPLY] straightforward [PERIOD]
gleaming [IMPLY] thoughtful [PERIOD]
alert [AND] thoughtful [IMPLY] elegant [PERIOD]
stupid [IMPLY] comfortable [PERIOD]
messy [AND] frantic [IMPLY] helpful [PERIOD]
gleaming [AND] elegant [IMPLY] serious [PERIOD]
gleaming [AND] disgusted [AND] helpful [IMPLY] intellectual [PERIOD]
rational [AND] helpful [IMPLY] perfect [PERIOD]
straightforward [IMPLY] frantic [PERIOD]
elegant [AND] impatient [IMPLY] helpful [PERIOD]
rational [AND] messy [IMPLY] serious [PERIOD]
disgusted [IMPLY] perfect [PERIOD]
inquisitive [IMPLY] enchanting [PERIOD]
inquisitive [AND] straightforward [AND] intellectual [IMPLY] disgusted [PERIOD]
perfect [IMPLY] messy [PERIOD]
condemned [AND] outrageous [AND] muddy [IMPLY] aggressive [PERIOD]
horrible [IMPLY] proud [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   fearless ⇒ proud
   proud ∧ helpful ⇒ condemned
   naughty ⇒ disgusted
   disgusted ⇒ perfect
   perfect ⇒ serious
   condemned ∧ serious ⇒ strange
   strange ⇒ stupid
",1,7
"Facts:  Alice is charming [PERIOD]
Rules:
elated [AND] thoughtless [IMPLY] condemned [PERIOD]
proud [AND] messy [IMPLY] fearless [PERIOD]
old-fashioned [IMPLY] scared [PERIOD]
condemned [IMPLY] impatient [PERIOD]
fearless [AND] condemned [IMPLY] proud [PERIOD]
polite [AND] old-fashioned [AND] shy [IMPLY] charming [PERIOD]
fearless [AND] polite [AND] condemned [IMPLY] messy [PERIOD]
scared [IMPLY] condemned [PERIOD]
fearless [IMPLY] charming [PERIOD]
comfortable [AND] old-fashioned [AND] messy [IMPLY] polite [PERIOD]
scared [AND] thoughtless [IMPLY] elated [PERIOD]
fearless [AND] comfortable [IMPLY] charming [PERIOD]
charming [AND] thoughtless [IMPLY] polite [PERIOD]
thoughtless [IMPLY] messy [PERIOD]
elated [AND] messy [IMPLY] proud [PERIOD]
scared [IMPLY] comfortable [PERIOD]
old-fashioned [IMPLY] comfortable [PERIOD]
scared [IMPLY] charming [PERIOD]
elated [AND] polite [IMPLY] scared [PERIOD]
impatient [AND] thoughtless [AND] shy [IMPLY] old-fashioned [PERIOD]
elated [AND] thoughtless [IMPLY] shy [PERIOD]
condemned [AND] old-fashioned [IMPLY] impatient [PERIOD]
old-fashioned [AND] polite [IMPLY] impatient [PERIOD]
proud [IMPLY] polite [PERIOD]
fearless [AND] scared [IMPLY] comfortable [PERIOD]
proud [AND] scared [IMPLY] elated [PERIOD]
comfortable [AND] thoughtless [IMPLY] proud [PERIOD]
fearless [AND] polite [AND] charming [IMPLY] shy [PERIOD]
proud [IMPLY] comfortable [PERIOD]
shy [AND] thoughtless [AND] proud [IMPLY] comfortable [PERIOD]
polite [AND] shy [IMPLY] messy [PERIOD]
old-fashioned [AND] fearless [IMPLY] messy [PERIOD]
proud [AND] elated [AND] scared [IMPLY] fearless [PERIOD]
scared [AND] impatient [AND] condemned [IMPLY] fearless [PERIOD]
messy [IMPLY] scared [PERIOD]
condemned [IMPLY] charming [PERIOD]
comfortable [AND] proud [AND] charming [IMPLY] scared [PERIOD]
elated [AND] charming [IMPLY] messy [PERIOD]
old-fashioned [AND] thoughtless [IMPLY] charming [PERIOD]
elated [AND] impatient [AND] thoughtless [IMPLY] condemned [PERIOD]
impatient [IMPLY] proud [PERIOD]
condemned [IMPLY] polite [PERIOD]
scared [IMPLY] messy [PERIOD]
old-fashioned [AND] charming [IMPLY] shy [PERIOD]
charming [AND] scared [IMPLY] elated [PERIOD]
scared [AND] old-fashioned [IMPLY] shy [PERIOD]
thoughtless [AND] shy [IMPLY] fearless [PERIOD]
messy [AND] polite [AND] condemned [IMPLY] scared [PERIOD]
charming [AND] fearless [IMPLY] condemned [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   Cannot apply rule “scared ⇒ comfortable” because missing: scared.
   Cannot apply rule “old-fashioned ⇒ comfortable” because missing: old-fashioned.
   Cannot apply rule “fearless ∧ scared ⇒ comfortable” because missing: fearless, scared.
   Cannot apply rule “proud ⇒ comfortable” because missing: proud.
   Cannot apply rule “shy ∧ thoughtless ∧ proud ⇒ comfortable” because missing: shy, thoughtless, proud.
",0,5
"Facts:  Alice is fragile [PERIOD] Alice is aggressive [PERIOD] Alice is attentive [PERIOD] Alice is smart [PERIOD] Alice is comfortable [PERIOD] Alice is inexpensive [PERIOD] Alice is tender [PERIOD] Alice is vivacious [PERIOD] Alice is talkative [PERIOD] Alice is troubled [PERIOD] Alice is joyous [PERIOD] Alice is sleepy [PERIOD] Alice is naughty [PERIOD] Alice is intellectual [PERIOD] Alice is different [PERIOD] Alice is courageous [PERIOD] Alice is fearless [PERIOD] Alice is diplomatic [PERIOD] Alice is clean [PERIOD] Alice is unpleasant [PERIOD] Alice is grumpy [PERIOD] Alice is tired [PERIOD] Alice is sincere [PERIOD] Alice is messy [PERIOD] Alice is ugly [PERIOD] Alice is anxious [PERIOD]
Rules:
vivacious [IMPLY] fragile [PERIOD]
attentive [IMPLY] troubled [PERIOD]
vivacious [IMPLY] anxious [PERIOD]
sincere [AND] elegant [AND] tired [IMPLY] grumpy [PERIOD]
clean [AND] anxious [AND] unpleasant [IMPLY] fragile [PERIOD]
mean [AND] sleepy [IMPLY] aggressive [PERIOD]
fancy [AND] fragile [AND] attentive [IMPLY] fearless [PERIOD]
courageous [AND] tender [AND] unpleasant [IMPLY] charming [PERIOD]
smart [IMPLY] sleepy [PERIOD]
vivacious [AND] diplomatic [AND] attentive [IMPLY] sleepy [PERIOD]
messy [AND] courageous [AND] attentive [IMPLY] tired [PERIOD]
naughty [IMPLY] elegant [PERIOD]
courageous [AND] sleepy [AND] intellectual [IMPLY] charming [PERIOD]
sincere [AND] sleepy [AND] elegant [IMPLY] grumpy [PERIOD]
grumpy [AND] attentive [AND] sleepy [IMPLY] fragile [PERIOD]
sleepy [IMPLY] fearless [PERIOD]
charming [AND] intellectual [AND] messy [IMPLY] unpleasant [PERIOD]
attentive [AND] comfortable [IMPLY] naughty [PERIOD]
elegant [IMPLY] comfortable [PERIOD]
smart [AND] tender [AND] attentive [IMPLY] messy [PERIOD]
ugly [IMPLY] naughty [PERIOD]
vivacious [IMPLY] comfortable [PERIOD]
sleepy [AND] attentive [AND] troubled [IMPLY] smart [PERIOD]
anxious [AND] tender [IMPLY] sleepy [PERIOD]
fancy [AND] grumpy [AND] tired [IMPLY] attentive [PERIOD]
fancy [AND] comfortable [AND] tender [IMPLY] clean [PERIOD]
inexpensive [IMPLY] intellectual [PERIOD]
aggressive [AND] courageous [AND] charming [IMPLY] sleepy [PERIOD]
sincere [AND] troubled [AND] tired [IMPLY] fearless [PERIOD]
clean [AND] sleepy [IMPLY] fancy [PERIOD]
different [AND] troubled [IMPLY] tired [PERIOD]
talkative [IMPLY] elegant [PERIOD]
courageous [AND] elegant [IMPLY] mean [PERIOD]
sleepy [AND] smart [AND] naughty [IMPLY] tender [PERIOD]
clean [IMPLY] fragile [PERIOD]
charming [AND] sincere [AND] smart [IMPLY] vivacious [PERIOD]
inexpensive [AND] fearless [IMPLY] sincere [PERIOD]
courageous [AND] aggressive [IMPLY] joyous [PERIOD]
charming [AND] fancy [AND] mean [IMPLY] smart [PERIOD]
inexpensive [AND] sincere [AND] fancy [IMPLY] vivacious [PERIOD]
naughty [IMPLY] ugly [PERIOD]
fancy [AND] messy [IMPLY] anxious [PERIOD]
elegant [IMPLY] unpleasant [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
Query: Alice is embarrassed [PERIOD]","Proof chain:
   No rule concludes “embarrassed.”
",0,1
"Facts:  Alice is popular [PERIOD] Alice is joyous [PERIOD]
Rules:
pessimistic [AND] ugly [AND] cruel [IMPLY] hilarious [PERIOD]
wrong [AND] stupid [AND] busy [IMPLY] popular [PERIOD]
diplomatic [IMPLY] muddy [PERIOD]
popular [IMPLY] dishonest [PERIOD]
rude [AND] diplomatic [IMPLY] lucky [PERIOD]
homely [AND] lucky [AND] calm [IMPLY] dishonest [PERIOD]
popular [AND] diplomatic [IMPLY] loving [PERIOD]
supportive [IMPLY] stupid [PERIOD]
homely [IMPLY] joyous [PERIOD]
muddy [IMPLY] homely [PERIOD]
popular [IMPLY] wrong [PERIOD]
calm [AND] pessimistic [IMPLY] loving [PERIOD]
hilarious [IMPLY] rude [PERIOD]
stupid [IMPLY] lucky [PERIOD]
muddy [AND] dishonest [IMPLY] busy [PERIOD]
muddy [AND] wrong [IMPLY] stupid [PERIOD]
busy [AND] cruel [AND] diplomatic [IMPLY] joyous [PERIOD]
Query: Alice is popular [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is elated [PERIOD] Alice is homely [PERIOD]
Rules:
frightened [IMPLY] vivacious [PERIOD]
frightened [IMPLY] sleepy [PERIOD]
vivacious [IMPLY] bad-tempered [PERIOD]
easy [IMPLY] sleepy [PERIOD]
blushing [AND] lucky [IMPLY] sleepy [PERIOD]
vivacious [AND] easy [AND] frightened [IMPLY] sleepy [PERIOD]
elated [IMPLY] lucky [PERIOD]
frightened [IMPLY] blushing [PERIOD]
horrible [AND] elated [AND] vivacious [IMPLY] lucky [PERIOD]
sleepy [AND] horrible [IMPLY] easy [PERIOD]
blushing [IMPLY] easy [PERIOD]
blushing [AND] lucky [AND] frightened [IMPLY] horrible [PERIOD]
easy [AND] frightened [IMPLY] blushing [PERIOD]
elated [AND] vivacious [AND] frightened [IMPLY] easy [PERIOD]
horrible [IMPLY] vivacious [PERIOD]
easy [AND] vivacious [IMPLY] homely [PERIOD]
frightened [AND] blushing [IMPLY] easy [PERIOD]
vivacious [AND] lucky [IMPLY] homely [PERIOD]
homely [AND] horrible [IMPLY] lucky [PERIOD]
vivacious [AND] lucky [IMPLY] bad-tempered [PERIOD]
frightened [AND] lucky [IMPLY] horrible [PERIOD]
blushing [IMPLY] horrible [PERIOD]
vivacious [IMPLY] horrible [PERIOD]
elated [AND] homely [AND] easy [IMPLY] lucky [PERIOD]
blushing [AND] bad-tempered [AND] vivacious [IMPLY] sleepy [PERIOD]
sleepy [AND] blushing [AND] lucky [IMPLY] easy [PERIOD]
lucky [AND] easy [IMPLY] sleepy [PERIOD]
vivacious [AND] homely [AND] easy [IMPLY] sleepy [PERIOD]
homely [IMPLY] vivacious [PERIOD]
bad-tempered [AND] sleepy [IMPLY] elated [PERIOD]
sleepy [AND] frightened [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] easy [IMPLY] frightened [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
   homely ⇒ vivacious
   vivacious ⇒ bad-tempered
   Cannot apply rule “bad-tempered ∧ easy ⇒ frightened” because missing: easy.
",0,3
"Facts:  Alice is zealous [PERIOD] Alice is ugliest [PERIOD] Alice is foolish [PERIOD] Alice is distinct [PERIOD] Alice is alert [PERIOD] Alice is stubborn [PERIOD] Alice is innocent [PERIOD] Alice is thoughtless [PERIOD] Alice is rational [PERIOD]
Rules:
ugliest [AND] attentive [AND] rational [IMPLY] condemned [PERIOD]
foolish [AND] rational [AND] distinct [IMPLY] thoughtless [PERIOD]
zealous [AND] foolish [IMPLY] rational [PERIOD]
foolish [AND] condemned [AND] zealous [IMPLY] ugliest [PERIOD]
broad-minded [IMPLY] foolish [PERIOD]
distinct [AND] stubborn [AND] condemned [IMPLY] alert [PERIOD]
attentive [AND] foolish [AND] distinct [IMPLY] zealous [PERIOD]
foolish [AND] zealous [IMPLY] innocent [PERIOD]
zealous [AND] stubborn [AND] broad-minded [IMPLY] attentive [PERIOD]
thoughtless [IMPLY] innocent [PERIOD]
zealous [AND] attentive [AND] rude [IMPLY] broad-minded [PERIOD]
zealous [IMPLY] innocent [PERIOD]
distinct [AND] condemned [AND] rude [IMPLY] broad-minded [PERIOD]
alert [IMPLY] rational [PERIOD]
attentive [AND] condemned [IMPLY] foolish [PERIOD]
alert [IMPLY] distinct [PERIOD]
zealous [IMPLY] stubborn [PERIOD]
innocent [AND] condemned [AND] rude [IMPLY] thoughtless [PERIOD]
stubborn [AND] alert [IMPLY] broad-minded [PERIOD]
stubborn [IMPLY] thoughtless [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is good [PERIOD] Alice is stupid [PERIOD] Alice is impartial [PERIOD] Alice is cruel [PERIOD] Alice is horrible [PERIOD] Alice is worried [PERIOD]
Rules:
impartial [IMPLY] rude [PERIOD]
outrageous [AND] charming [IMPLY] gorgeous [PERIOD]
easy [AND] gorgeous [IMPLY] difficult [PERIOD]
gorgeous [AND] pessimistic [AND] lucky [IMPLY] broad-minded [PERIOD]
difficult [IMPLY] stupid [PERIOD]
impartial [AND] rude [AND] bossy [IMPLY] gorgeous [PERIOD]
broad-minded [AND] worried [IMPLY] lucky [PERIOD]
cruel [AND] difficult [AND] broad-minded [IMPLY] worried [PERIOD]
pessimistic [AND] zealous [IMPLY] outrageous [PERIOD]
horrible [AND] gorgeous [AND] lucky [IMPLY] wide-eyed [PERIOD]
good [AND] easy [IMPLY] outrageous [PERIOD]
lucky [AND] wide-eyed [AND] easy [IMPLY] gorgeous [PERIOD]
pessimistic [AND] horrible [AND] good [IMPLY] tense [PERIOD]
rude [AND] difficult [AND] pessimistic [IMPLY] stupid [PERIOD]
stupid [AND] pessimistic [AND] broad-minded [IMPLY] difficult [PERIOD]
cruel [AND] stupid [IMPLY] wide-eyed [PERIOD]
gorgeous [AND] impartial [IMPLY] good [PERIOD]
difficult [IMPLY] charming [PERIOD]
impartial [AND] good [AND] wide-eyed [IMPLY] gorgeous [PERIOD]
different [AND] worried [IMPLY] messy [PERIOD]
cruel [AND] messy [AND] lucky [IMPLY] worried [PERIOD]
charming [IMPLY] tense [PERIOD]
messy [AND] wide-eyed [IMPLY] outrageous [PERIOD]
good [AND] pessimistic [IMPLY] bossy [PERIOD]
pessimistic [IMPLY] stupid [PERIOD]
horrible [AND] rude [AND] charming [IMPLY] good [PERIOD]
bossy [AND] stupid [IMPLY] lucky [PERIOD]
horrible [IMPLY] wide-eyed [PERIOD]
gorgeous [AND] bossy [IMPLY] difficult [PERIOD]
easy [IMPLY] tense [PERIOD]
lucky [AND] charming [AND] zealous [IMPLY] difficult [PERIOD]
worried [AND] messy [AND] good [IMPLY] wide-eyed [PERIOD]
good [AND] zealous [AND] messy [IMPLY] tense [PERIOD]
messy [IMPLY] easy [PERIOD]
bossy [AND] broad-minded [IMPLY] lucky [PERIOD]
easy [AND] bossy [IMPLY] tense [PERIOD]
outrageous [IMPLY] stupid [PERIOD]
outrageous [AND] wide-eyed [AND] stupid [IMPLY] easy [PERIOD]
different [AND] cruel [AND] gorgeous [IMPLY] pessimistic [PERIOD]
difficult [AND] horrible [IMPLY] messy [PERIOD]
zealous [IMPLY] tense [PERIOD]
messy [AND] bossy [AND] charming [IMPLY] lucky [PERIOD]
lucky [AND] good [IMPLY] bossy [PERIOD]
stupid [AND] charming [AND] cruel [IMPLY] difficult [PERIOD]
lucky [IMPLY] messy [PERIOD]
wide-eyed [IMPLY] cruel [PERIOD]
good [IMPLY] impartial [PERIOD]
easy [AND] cruel [AND] gorgeous [IMPLY] horrible [PERIOD]
easy [IMPLY] pessimistic [PERIOD]
charming [IMPLY] rude [PERIOD]
stupid [AND] charming [AND] impartial [IMPLY] rude [PERIOD]
bossy [AND] broad-minded [IMPLY] stupid [PERIOD]
different [AND] charming [AND] stupid [IMPLY] good [PERIOD]
cruel [AND] gorgeous [IMPLY] messy [PERIOD]
bossy [AND] lucky [IMPLY] outrageous [PERIOD]
difficult [AND] horrible [IMPLY] bossy [PERIOD]
outrageous [AND] bossy [IMPLY] pessimistic [PERIOD]
difficult [AND] lucky [AND] good [IMPLY] horrible [PERIOD]
gorgeous [IMPLY] charming [PERIOD]
tense [IMPLY] easy [PERIOD]
horrible [IMPLY] stupid [PERIOD]
worried [AND] cruel [AND] wide-eyed [IMPLY] pessimistic [PERIOD]
easy [IMPLY] rude [PERIOD]
easy [AND] cruel [AND] horrible [IMPLY] pessimistic [PERIOD]
pessimistic [AND] outrageous [AND] cruel [IMPLY] worried [PERIOD]
difficult [IMPLY] different [PERIOD]
tense [AND] rude [IMPLY] cruel [PERIOD]
worried [AND] pessimistic [IMPLY] tense [PERIOD]
easy [AND] broad-minded [IMPLY] stupid [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is different [PERIOD] Alice is wide-eyed [PERIOD] Alice is fearless [PERIOD] Alice is strange [PERIOD] Alice is perfect [PERIOD] Alice is thoughtless [PERIOD] Alice is ugliest [PERIOD] Alice is scared [PERIOD] Alice is attractive [PERIOD]
Rules:
hypocritical [AND] grumpy [IMPLY] bored [PERIOD]
scared [IMPLY] excited [PERIOD]
shy [AND] sincere [AND] comfortable [IMPLY] easy [PERIOD]
amused [IMPLY] shy [PERIOD]
comfortable [IMPLY] excited [PERIOD]
busy [IMPLY] shy [PERIOD]
comfortable [IMPLY] strange [PERIOD]
ugliest [AND] fine [IMPLY] sincere [PERIOD]
shy [AND] grumpy [AND] perfect [IMPLY] scared [PERIOD]
scared [AND] aggressive [AND] attractive [IMPLY] comfortable [PERIOD]
shy [AND] comfortable [IMPLY] wide-eyed [PERIOD]
excited [AND] fine [AND] selfish [IMPLY] perfect [PERIOD]
excited [IMPLY] busy [PERIOD]
shy [AND] sincere [IMPLY] thoughtless [PERIOD]
excited [AND] grumpy [AND] fine [IMPLY] comfortable [PERIOD]
bored [AND] different [IMPLY] easy [PERIOD]
bored [AND] amused [IMPLY] shy [PERIOD]
grumpy [AND] perfect [AND] sincere [IMPLY] hypocritical [PERIOD]
sincere [AND] different [AND] amused [IMPLY] bored [PERIOD]
excited [IMPLY] perfect [PERIOD]
shy [AND] adorable [AND] busy [IMPLY] powerful [PERIOD]
strange [IMPLY] powerful [PERIOD]
wide-eyed [IMPLY] powerful [PERIOD]
combative [IMPLY] lucky [PERIOD]
amused [AND] bored [IMPLY] lucky [PERIOD]
selfish [AND] shy [IMPLY] attractive [PERIOD]
amused [AND] comfortable [AND] busy [IMPLY] aggressive [PERIOD]
powerful [AND] fearless [IMPLY] shy [PERIOD]
thoughtless [AND] grumpy [IMPLY] rational [PERIOD]
different [IMPLY] fine [PERIOD]
selfish [AND] ambitious [IMPLY] adorable [PERIOD]
perfect [AND] sincere [IMPLY] attractive [PERIOD]
grumpy [AND] strange [IMPLY] amused [PERIOD]
scared [IMPLY] lucky [PERIOD]
cute [AND] combative [AND] grumpy [IMPLY] sincere [PERIOD]
embarrassed [AND] rational [AND] wide-eyed [IMPLY] ugliest [PERIOD]
fine [AND] selfish [IMPLY] comfortable [PERIOD]
strange [AND] bored [IMPLY] thoughtless [PERIOD]
comfortable [AND] grumpy [AND] ambitious [IMPLY] ugliest [PERIOD]
different [IMPLY] excited [PERIOD]
grumpy [IMPLY] aggressive [PERIOD]
scared [AND] grumpy [AND] rational [IMPLY] combative [PERIOD]
aggressive [AND] fearless [IMPLY] combative [PERIOD]
excited [AND] busy [IMPLY] hypocritical [PERIOD]
attractive [IMPLY] combative [PERIOD]
easy [AND] different [IMPLY] wide-eyed [PERIOD]
different [AND] bored [IMPLY] scared [PERIOD]
attractive [AND] ambitious [AND] aggressive [IMPLY] strange [PERIOD]
ugliest [IMPLY] fine [PERIOD]
strange [IMPLY] comfortable [PERIOD]
powerful [AND] wide-eyed [AND] excited [IMPLY] cute [PERIOD]
shy [AND] lucky [AND] grumpy [IMPLY] embarrassed [PERIOD]
selfish [AND] ambitious [AND] adorable [IMPLY] aggressive [PERIOD]
amused [AND] adorable [AND] different [IMPLY] shy [PERIOD]
rational [AND] selfish [IMPLY] strange [PERIOD]
selfish [AND] combative [IMPLY] powerful [PERIOD]
aggressive [IMPLY] cute [PERIOD]
ambitious [AND] wide-eyed [AND] selfish [IMPLY] amused [PERIOD]
easy [AND] shy [AND] busy [IMPLY] wide-eyed [PERIOD]
thoughtless [AND] aggressive [IMPLY] grumpy [PERIOD]
amused [IMPLY] powerful [PERIOD]
bored [IMPLY] wide-eyed [PERIOD]
selfish [AND] strange [IMPLY] comfortable [PERIOD]
cute [IMPLY] lucky [PERIOD]
selfish [AND] easy [IMPLY] attractive [PERIOD]
excited [IMPLY] fearless [PERIOD]
easy [AND] adorable [AND] rational [IMPLY] ambitious [PERIOD]
scared [IMPLY] sincere [PERIOD]
hypocritical [IMPLY] excited [PERIOD]
wide-eyed [AND] adorable [IMPLY] attractive [PERIOD]
amused [IMPLY] embarrassed [PERIOD]
fearless [AND] lucky [IMPLY] sincere [PERIOD]
amused [AND] scared [AND] ambitious [IMPLY] fearless [PERIOD]
grumpy [AND] thoughtless [AND] ambitious [IMPLY] easy [PERIOD]
excited [AND] busy [IMPLY] selfish [PERIOD]
grumpy [IMPLY] fearless [PERIOD]
embarrassed [IMPLY] amused [PERIOD]
ambitious [IMPLY] fearless [PERIOD]
ugliest [IMPLY] ambitious [PERIOD]
sincere [IMPLY] attractive [PERIOD]
selfish [AND] busy [IMPLY] ugliest [PERIOD]
busy [AND] selfish [IMPLY] strange [PERIOD]
amused [AND] fearless [AND] sincere [IMPLY] cute [PERIOD]
perfect [AND] easy [AND] fine [IMPLY] rational [PERIOD]
wide-eyed [AND] embarrassed [IMPLY] shy [PERIOD]
ambitious [AND] scared [AND] selfish [IMPLY] combative [PERIOD]
comfortable [AND] easy [AND] ugliest [IMPLY] ambitious [PERIOD]
grumpy [IMPLY] ambitious [PERIOD]
attractive [IMPLY] different [PERIOD]
fine [IMPLY] shy [PERIOD]
cute [AND] embarrassed [AND] hypocritical [IMPLY] excited [PERIOD]
ambitious [AND] different [IMPLY] lucky [PERIOD]
lucky [AND] ambitious [IMPLY] aggressive [PERIOD]
fine [AND] thoughtless [AND] aggressive [IMPLY] shy [PERIOD]
ugliest [AND] busy [AND] shy [IMPLY] wide-eyed [PERIOD]
embarrassed [AND] ugliest [IMPLY] aggressive [PERIOD]
grumpy [IMPLY] cute [PERIOD]
embarrassed [AND] comfortable [AND] aggressive [IMPLY] cute [PERIOD]
different [AND] rational [IMPLY] fine [PERIOD]
thoughtless [AND] selfish [AND] perfect [IMPLY] cute [PERIOD]
thoughtless [AND] easy [AND] adorable [IMPLY] grumpy [PERIOD]
fine [IMPLY] lucky [PERIOD]
attractive [AND] fine [AND] aggressive [IMPLY] wide-eyed [PERIOD]
scared [AND] easy [IMPLY] thoughtless [PERIOD]
sincere [IMPLY] excited [PERIOD]
perfect [IMPLY] adorable [PERIOD]
rational [AND] thoughtless [IMPLY] adorable [PERIOD]
strange [IMPLY] rational [PERIOD]
wide-eyed [AND] hypocritical [AND] easy [IMPLY] perfect [PERIOD]
fine [AND] combative [AND] comfortable [IMPLY] wide-eyed [PERIOD]
strange [AND] amused [IMPLY] perfect [PERIOD]
shy [IMPLY] wide-eyed [PERIOD]
embarrassed [IMPLY] fearless [PERIOD]
excited [AND] rational [IMPLY] different [PERIOD]
ugliest [AND] embarrassed [IMPLY] sincere [PERIOD]
comfortable [AND] bored [AND] lucky [IMPLY] fine [PERIOD]
cute [AND] selfish [AND] busy [IMPLY] ugliest [PERIOD]
attractive [IMPLY] thoughtless [PERIOD]
fine [AND] ambitious [AND] excited [IMPLY] combative [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   scared ⇒ lucky
   ugliest ⇒ ambitious
   lucky ∧ ambitious ⇒ aggressive
   thoughtless ∧ aggressive ⇒ grumpy
   grumpy ∧ strange ⇒ amused
",1,5
"Facts:  Alice is bright [PERIOD] Alice is pessimistic [PERIOD] Alice is enchanting [PERIOD]
Rules:
bright [AND] gifted [AND] horrible [IMPLY] bored [PERIOD]
hypocritical [IMPLY] enchanting [PERIOD]
enchanting [AND] bad-tempered [AND] helpless [IMPLY] bright [PERIOD]
helpless [AND] gifted [AND] confident [IMPLY] bright [PERIOD]
hypocritical [AND] bored [AND] attentive [IMPLY] bad-tempered [PERIOD]
bright [AND] confident [AND] jittery [IMPLY] bad-tempered [PERIOD]
cruel [AND] bright [IMPLY] lonely [PERIOD]
sincere [AND] helpless [AND] confident [IMPLY] tense [PERIOD]
disobedient [IMPLY] horrible [PERIOD]
ambitious [AND] bright [AND] pessimistic [IMPLY] fancy [PERIOD]
horrible [IMPLY] hypocritical [PERIOD]
lonely [AND] plain [IMPLY] cruel [PERIOD]
horrible [IMPLY] lonely [PERIOD]
uptight [AND] gifted [IMPLY] ambitious [PERIOD]
rational [IMPLY] attentive [PERIOD]
careless [IMPLY] fancy [PERIOD]
careless [AND] rational [IMPLY] enchanting [PERIOD]
lonely [IMPLY] confident [PERIOD]
cruel [AND] helpless [IMPLY] rational [PERIOD]
attentive [AND] lonely [AND] plain [IMPLY] disgusted [PERIOD]
bright [AND] jittery [IMPLY] helpless [PERIOD]
bored [AND] sincere [IMPLY] jittery [PERIOD]
uptight [AND] tense [IMPLY] gorgeous [PERIOD]
gifted [AND] ambitious [IMPLY] sincere [PERIOD]
ambitious [AND] gorgeous [AND] confident [IMPLY] combative [PERIOD]
bad-tempered [AND] pessimistic [IMPLY] hypocritical [PERIOD]
attentive [AND] jittery [AND] bright [IMPLY] inquisitive [PERIOD]
helpless [AND] inquisitive [IMPLY] tense [PERIOD]
careless [AND] horrible [IMPLY] pessimistic [PERIOD]
cruel [IMPLY] hypocritical [PERIOD]
bright [IMPLY] inquisitive [PERIOD]
plain [AND] enchanting [IMPLY] cruel [PERIOD]
enchanting [AND] rational [AND] cruel [IMPLY] inquisitive [PERIOD]
enchanting [AND] confident [AND] attentive [IMPLY] uptight [PERIOD]
cruel [AND] uptight [IMPLY] bright [PERIOD]
gifted [AND] hypocritical [IMPLY] helpless [PERIOD]
bored [AND] gorgeous [AND] inquisitive [IMPLY] pessimistic [PERIOD]
hypocritical [IMPLY] tense [PERIOD]
jittery [IMPLY] sincere [PERIOD]
attentive [IMPLY] bright [PERIOD]
confident [IMPLY] tense [PERIOD]
bad-tempered [AND] fancy [IMPLY] cruel [PERIOD]
helpless [AND] attentive [IMPLY] bright [PERIOD]
hypocritical [AND] combative [IMPLY] tense [PERIOD]
rational [AND] pessimistic [IMPLY] fancy [PERIOD]
plain [IMPLY] cruel [PERIOD]
bored [AND] bad-tempered [IMPLY] careless [PERIOD]
tense [AND] gorgeous [AND] combative [IMPLY] bright [PERIOD]
helpless [IMPLY] gorgeous [PERIOD]
pessimistic [AND] lonely [IMPLY] disgusted [PERIOD]
bored [IMPLY] uptight [PERIOD]
careless [AND] bright [IMPLY] enchanting [PERIOD]
plain [AND] hypocritical [AND] disgusted [IMPLY] horrible [PERIOD]
rational [AND] attentive [IMPLY] plain [PERIOD]
disgusted [AND] inquisitive [AND] bored [IMPLY] fancy [PERIOD]
combative [AND] uptight [IMPLY] gifted [PERIOD]
inquisitive [AND] gifted [IMPLY] ambitious [PERIOD]
tense [AND] sincere [IMPLY] confident [PERIOD]
bad-tempered [AND] plain [IMPLY] uptight [PERIOD]
bright [IMPLY] uptight [PERIOD]
bright [AND] tense [IMPLY] pessimistic [PERIOD]
lonely [AND] gorgeous [AND] ambitious [IMPLY] uptight [PERIOD]
confident [IMPLY] bad-tempered [PERIOD]
rational [AND] uptight [IMPLY] helpless [PERIOD]
bored [AND] hypocritical [AND] helpless [IMPLY] uptight [PERIOD]
confident [AND] disobedient [IMPLY] gorgeous [PERIOD]
hypocritical [AND] pessimistic [AND] rational [IMPLY] enchanting [PERIOD]
gorgeous [IMPLY] bored [PERIOD]
plain [AND] fancy [IMPLY] pessimistic [PERIOD]
disobedient [AND] cruel [AND] jittery [IMPLY] pessimistic [PERIOD]
enchanting [AND] disgusted [IMPLY] attentive [PERIOD]
bright [AND] sincere [IMPLY] lonely [PERIOD]
confident [AND] bright [IMPLY] uptight [PERIOD]
inquisitive [AND] sincere [IMPLY] confident [PERIOD]
disobedient [AND] lonely [AND] cruel [IMPLY] ambitious [PERIOD]
plain [IMPLY] jittery [PERIOD]
combative [AND] jittery [AND] tense [IMPLY] hypocritical [PERIOD]
jittery [AND] helpless [AND] rational [IMPLY] lonely [PERIOD]
uptight [AND] bright [AND] sincere [IMPLY] confident [PERIOD]
rational [IMPLY] horrible [PERIOD]
gifted [AND] bright [AND] tense [IMPLY] rational [PERIOD]
bright [AND] bad-tempered [AND] disobedient [IMPLY] careless [PERIOD]
tense [AND] enchanting [IMPLY] bright [PERIOD]
disobedient [IMPLY] gorgeous [PERIOD]
rational [AND] lonely [IMPLY] gorgeous [PERIOD]
bored [AND] tense [IMPLY] bad-tempered [PERIOD]
tense [AND] bad-tempered [IMPLY] helpless [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   bright ⇒ uptight
   Cannot apply rule “uptight ∧ gifted ⇒ ambitious” because missing: gifted.
   bright ⇒ inquisitive
   Cannot apply rule “inquisitive ∧ gifted ⇒ ambitious” because missing: gifted.
   Cannot apply rule “disobedient ∧ lonely ∧ cruel ⇒ ambitious” because missing: disobedient, lonely, cruel.
",0,5
"Facts:  Alice is zealous [PERIOD]
Rules:
difficult [AND] silly [IMPLY] average [PERIOD]
jittery [AND] outstanding [IMPLY] elated [PERIOD]
jittery [AND] frail [AND] adorable [IMPLY] difficult [PERIOD]
dull [AND] reserved [AND] frantic [IMPLY] average [PERIOD]
zealous [AND] agreeable [AND] messy [IMPLY] pleasant [PERIOD]
modern [IMPLY] cruel [PERIOD]
reserved [AND] dull [IMPLY] shy [PERIOD]
elated [AND] jittery [AND] talented [IMPLY] zealous [PERIOD]
exuberant [AND] talented [IMPLY] worrisome [PERIOD]
jittery [AND] mysterious [AND] modern [IMPLY] messy [PERIOD]
messy [AND] adorable [AND] excited [IMPLY] average [PERIOD]
pleasant [IMPLY] smart [PERIOD]
frantic [AND] shy [IMPLY] unpleasant [PERIOD]
excited [AND] weary [AND] agreeable [IMPLY] dull [PERIOD]
agreeable [IMPLY] shy [PERIOD]
outstanding [IMPLY] modern [PERIOD]
adorable [AND] cruel [AND] embarrassed [IMPLY] excited [PERIOD]
talented [AND] outstanding [IMPLY] exuberant [PERIOD]
outstanding [IMPLY] supportive [PERIOD]
excited [AND] smart [AND] pleasant [IMPLY] worrisome [PERIOD]
jittery [AND] cruel [IMPLY] smart [PERIOD]
smart [AND] silly [IMPLY] difficult [PERIOD]
cruel [AND] difficult [IMPLY] messy [PERIOD]
shy [AND] reserved [IMPLY] cruel [PERIOD]
dull [AND] agreeable [IMPLY] frantic [PERIOD]
elated [AND] smart [AND] outstanding [IMPLY] shy [PERIOD]
silly [AND] frail [IMPLY] agreeable [PERIOD]
silly [AND] modern [IMPLY] frantic [PERIOD]
talented [AND] jittery [AND] unpleasant [IMPLY] average [PERIOD]
dull [AND] supportive [AND] mysterious [IMPLY] elated [PERIOD]
jittery [AND] exuberant [AND] confused [IMPLY] zealous [PERIOD]
elated [AND] smart [IMPLY] frail [PERIOD]
pleasant [AND] messy [IMPLY] reserved [PERIOD]
zealous [AND] messy [IMPLY] silly [PERIOD]
reserved [AND] worrisome [AND] silly [IMPLY] excited [PERIOD]
unpleasant [IMPLY] zealous [PERIOD]
average [AND] shy [IMPLY] silly [PERIOD]
mysterious [AND] unpleasant [IMPLY] elated [PERIOD]
excited [AND] difficult [IMPLY] talented [PERIOD]
average [AND] supportive [AND] elated [IMPLY] frantic [PERIOD]
mysterious [AND] smart [IMPLY] unpleasant [PERIOD]
zealous [AND] messy [AND] difficult [IMPLY] smart [PERIOD]
mysterious [AND] average [AND] supportive [IMPLY] pleasant [PERIOD]
jittery [AND] silly [IMPLY] confused [PERIOD]
shy [IMPLY] modern [PERIOD]
adorable [AND] confused [IMPLY] dull [PERIOD]
shy [IMPLY] reserved [PERIOD]
talented [AND] dull [AND] smart [IMPLY] supportive [PERIOD]
agreeable [IMPLY] silly [PERIOD]
silly [IMPLY] embarrassed [PERIOD]
difficult [AND] frantic [IMPLY] agreeable [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   Cannot apply rule “zealous ∧ messy ⇒ silly” because missing: messy.
   Cannot apply rule “average ∧ shy ⇒ silly” because missing: average, shy.
   Cannot apply rule “agreeable ⇒ silly” because missing: agreeable.
",0,3
"Facts:  Alice is hilarious [PERIOD] Alice is rude [PERIOD] Alice is easy [PERIOD] Alice is strange [PERIOD]
Rules:
rude [IMPLY] easy [PERIOD]
easy [IMPLY] rude [PERIOD]
hilarious [IMPLY] amused [PERIOD]
embarrassed [AND] easy [AND] hilarious [IMPLY] rude [PERIOD]
amused [IMPLY] frightened [PERIOD]
frightened [AND] rude [AND] easy [IMPLY] embarrassed [PERIOD]
strange [AND] frightened [IMPLY] hilarious [PERIOD]
embarrassed [AND] strange [AND] easy [IMPLY] amused [PERIOD]
easy [AND] amused [IMPLY] strange [PERIOD]
uptight [AND] embarrassed [AND] frightened [IMPLY] easy [PERIOD]
hilarious [IMPLY] rude [PERIOD]
embarrassed [AND] uptight [IMPLY] easy [PERIOD]
strange [IMPLY] amused [PERIOD]
strange [AND] embarrassed [IMPLY] frightened [PERIOD]
frightened [AND] rude [AND] strange [IMPLY] amused [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   hilarious ⇒ amused
",1,1
"Facts: 
Rules:
good [AND] serious [IMPLY] precious [PERIOD]
precious [IMPLY] aggressive [PERIOD]
troubled [AND] silly [AND] inquisitive [IMPLY] elegant [PERIOD]
aggressive [AND] silly [AND] mean [IMPLY] bad-tempered [PERIOD]
aggressive [AND] worried [AND] precious [IMPLY] mean [PERIOD]
worried [AND] aggressive [IMPLY] talented [PERIOD]
shiny [IMPLY] precious [PERIOD]
worried [AND] bad-tempered [IMPLY] hurt [PERIOD]
hurt [AND] shiny [IMPLY] popular [PERIOD]
serious [AND] elegant [IMPLY] inquisitive [PERIOD]
mean [AND] popular [IMPLY] serious [PERIOD]
good [AND] gleaming [AND] exuberant [IMPLY] precious [PERIOD]
mean [AND] worried [AND] inquisitive [IMPLY] amused [PERIOD]
amused [IMPLY] troubled [PERIOD]
troubled [AND] talented [AND] gleaming [IMPLY] silly [PERIOD]
aggressive [IMPLY] inquisitive [PERIOD]
exuberant [AND] mean [IMPLY] talented [PERIOD]
inquisitive [AND] mean [AND] zealous [IMPLY] worried [PERIOD]
mean [IMPLY] worried [PERIOD]
amused [AND] talented [AND] hurt [IMPLY] troubled [PERIOD]
good [AND] troubled [AND] popular [IMPLY] gleaming [PERIOD]
talented [IMPLY] exuberant [PERIOD]
talented [AND] exuberant [AND] good [IMPLY] inquisitive [PERIOD]
gleaming [AND] silly [AND] zealous [IMPLY] serious [PERIOD]
zealous [AND] bad-tempered [AND] aggressive [IMPLY] gleaming [PERIOD]
worried [AND] hurt [IMPLY] exuberant [PERIOD]
inquisitive [IMPLY] serious [PERIOD]
silly [AND] zealous [AND] good [IMPLY] aggressive [PERIOD]
aggressive [AND] troubled [AND] gleaming [IMPLY] precious [PERIOD]
popular [IMPLY] hurt [PERIOD]
hurt [AND] exuberant [AND] inquisitive [IMPLY] good [PERIOD]
shiny [IMPLY] aggressive [PERIOD]
serious [AND] exuberant [IMPLY] silly [PERIOD]
zealous [AND] elegant [IMPLY] worried [PERIOD]
silly [AND] aggressive [IMPLY] serious [PERIOD]
worried [AND] hurt [AND] shiny [IMPLY] gleaming [PERIOD]
zealous [AND] popular [IMPLY] elegant [PERIOD]
good [IMPLY] talented [PERIOD]
silly [IMPLY] zealous [PERIOD]
shiny [AND] talented [IMPLY] gleaming [PERIOD]
serious [AND] mean [IMPLY] troubled [PERIOD]
troubled [IMPLY] aggressive [PERIOD]
elegant [AND] popular [AND] precious [IMPLY] mean [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
   Cannot apply rule “precious ⇒ aggressive” because missing: precious.
   Cannot apply rule “silly ∧ zealous ∧ good ⇒ aggressive” because missing: silly, zealous, good.
   Cannot apply rule “shiny ⇒ aggressive” because missing: shiny.
   Cannot apply rule “troubled ⇒ aggressive” because missing: troubled.
",0,4
"Facts: 
Rules:
cute [AND] ugliest [AND] helpful [IMPLY] bright [PERIOD]
fragile [AND] bright [IMPLY] polite [PERIOD]
fragile [AND] cruel [AND] proud [IMPLY] cute [PERIOD]
inquisitive [AND] cruel [AND] bright [IMPLY] cute [PERIOD]
elegant [AND] difficult [AND] gorgeous [IMPLY] cruel [PERIOD]
ugliest [IMPLY] cruel [PERIOD]
difficult [AND] bad-tempered [AND] fragile [IMPLY] calm [PERIOD]
proud [AND] bright [IMPLY] inquisitive [PERIOD]
ugliest [IMPLY] uptight [PERIOD]
cruel [AND] elegant [AND] proud [IMPLY] difficult [PERIOD]
helpful [AND] calm [AND] ugliest [IMPLY] proud [PERIOD]
bright [IMPLY] calm [PERIOD]
cute [IMPLY] bright [PERIOD]
proud [IMPLY] uptight [PERIOD]
cruel [AND] difficult [IMPLY] fragile [PERIOD]
difficult [AND] helpful [IMPLY] ugliest [PERIOD]
fragile [IMPLY] elegant [PERIOD]
cute [AND] gorgeous [AND] polite [IMPLY] inquisitive [PERIOD]
bad-tempered [AND] polite [AND] helpful [IMPLY] cruel [PERIOD]
bright [IMPLY] difficult [PERIOD]
difficult [IMPLY] helpful [PERIOD]
cute [AND] difficult [AND] gorgeous [IMPLY] fragile [PERIOD]
helpful [AND] uptight [AND] ugliest [IMPLY] difficult [PERIOD]
gorgeous [IMPLY] bright [PERIOD]
fragile [IMPLY] uptight [PERIOD]
polite [IMPLY] helpful [PERIOD]
cruel [AND] cute [IMPLY] bright [PERIOD]
bright [AND] elegant [IMPLY] helpful [PERIOD]
ugliest [AND] inquisitive [IMPLY] fragile [PERIOD]
polite [AND] gorgeous [AND] fragile [IMPLY] cute [PERIOD]
uptight [IMPLY] helpful [PERIOD]
gorgeous [IMPLY] cute [PERIOD]
uptight [IMPLY] bright [PERIOD]
difficult [AND] fragile [IMPLY] elegant [PERIOD]
calm [AND] fragile [IMPLY] difficult [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   Cannot apply rule “cute ∧ ugliest ∧ helpful ⇒ bright” because missing: cute, ugliest, helpful.
   Cannot apply rule “cute ⇒ bright” because missing: cute.
   Cannot apply rule “gorgeous ⇒ bright” because missing: gorgeous.
   Cannot apply rule “cruel ∧ cute ⇒ bright” because missing: cruel, cute.
   Cannot apply rule “uptight ⇒ bright” because missing: uptight.
",0,5
"Facts: 
Rules:
confident [AND] alert [AND] average [IMPLY] popular [PERIOD]
thoughtful [IMPLY] intellectual [PERIOD]
witty [AND] thoughtful [AND] clean [IMPLY] supportive [PERIOD]
loving [AND] popular [AND] confident [IMPLY] fancy [PERIOD]
alert [AND] weary [IMPLY] quaint [PERIOD]
supportive [AND] loving [IMPLY] stubborn [PERIOD]
alert [IMPLY] supportive [PERIOD]
thoughtful [AND] confident [AND] fancy [IMPLY] popular [PERIOD]
witty [AND] alert [AND] rational [IMPLY] fancy [PERIOD]
popular [IMPLY] rational [PERIOD]
intellectual [AND] confident [IMPLY] thoughtful [PERIOD]
average [AND] rational [AND] confident [IMPLY] thoughtful [PERIOD]
quaint [IMPLY] impartial [PERIOD]
popular [AND] loving [IMPLY] witty [PERIOD]
agreeable [AND] supportive [AND] alert [IMPLY] quaint [PERIOD]
intellectual [IMPLY] quaint [PERIOD]
witty [IMPLY] weary [PERIOD]
stubborn [IMPLY] popular [PERIOD]
confident [AND] rational [IMPLY] impartial [PERIOD]
popular [AND] loving [AND] quaint [IMPLY] confident [PERIOD]
thoughtful [IMPLY] fancy [PERIOD]
quaint [AND] average [AND] agreeable [IMPLY] weary [PERIOD]
agreeable [AND] stubborn [AND] average [IMPLY] clean [PERIOD]
supportive [AND] intellectual [AND] popular [IMPLY] rational [PERIOD]
alert [AND] intellectual [IMPLY] thoughtful [PERIOD]
stubborn [IMPLY] intellectual [PERIOD]
witty [AND] intellectual [AND] weary [IMPLY] average [PERIOD]
intellectual [IMPLY] witty [PERIOD]
clean [IMPLY] alert [PERIOD]
popular [AND] impartial [AND] confident [IMPLY] witty [PERIOD]
witty [AND] confident [IMPLY] weary [PERIOD]
quaint [AND] thoughtful [IMPLY] witty [PERIOD]
impartial [AND] clean [AND] loving [IMPLY] intellectual [PERIOD]
weary [AND] stubborn [IMPLY] alert [PERIOD]
clean [AND] confident [AND] intellectual [IMPLY] rational [PERIOD]
intellectual [IMPLY] impartial [PERIOD]
supportive [AND] weary [IMPLY] clean [PERIOD]
weary [IMPLY] confident [PERIOD]
supportive [AND] weary [IMPLY] impartial [PERIOD]
average [AND] confident [IMPLY] witty [PERIOD]
popular [AND] quaint [AND] confident [IMPLY] agreeable [PERIOD]
quaint [AND] intellectual [IMPLY] stubborn [PERIOD]
agreeable [AND] clean [AND] rational [IMPLY] impartial [PERIOD]
clean [AND] supportive [AND] average [IMPLY] quaint [PERIOD]
thoughtful [AND] fancy [IMPLY] loving [PERIOD]
witty [AND] confident [AND] average [IMPLY] loving [PERIOD]
confident [AND] loving [IMPLY] fancy [PERIOD]
average [AND] confident [IMPLY] supportive [PERIOD]
stubborn [AND] intellectual [IMPLY] supportive [PERIOD]
thoughtful [AND] weary [IMPLY] popular [PERIOD]
agreeable [IMPLY] witty [PERIOD]
popular [AND] loving [AND] intellectual [IMPLY] supportive [PERIOD]
alert [AND] fancy [AND] witty [IMPLY] average [PERIOD]
intellectual [AND] supportive [AND] agreeable [IMPLY] quaint [PERIOD]
rational [IMPLY] average [PERIOD]
intellectual [IMPLY] clean [PERIOD]
confident [AND] stubborn [AND] rational [IMPLY] alert [PERIOD]
loving [AND] weary [AND] intellectual [IMPLY] witty [PERIOD]
fancy [AND] intellectual [AND] loving [IMPLY] weary [PERIOD]
confident [AND] average [IMPLY] weary [PERIOD]
rational [IMPLY] thoughtful [PERIOD]
loving [IMPLY] fancy [PERIOD]
impartial [IMPLY] alert [PERIOD]
witty [AND] loving [IMPLY] confident [PERIOD]
impartial [AND] agreeable [AND] loving [IMPLY] fancy [PERIOD]
clean [IMPLY] confident [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   Cannot apply rule “popular ∧ loving ⇒ witty” because missing: popular, loving.
   Cannot apply rule “intellectual ⇒ witty” because missing: intellectual.
   Cannot apply rule “popular ∧ impartial ∧ confident ⇒ witty” because missing: popular, impartial, confident.
   Cannot apply rule “quaint ∧ thoughtful ⇒ witty” because missing: quaint, thoughtful.
   Cannot apply rule “average ∧ confident ⇒ witty” because missing: average, confident.
   Cannot apply rule “agreeable ⇒ witty” because missing: agreeable.
   Cannot apply rule “loving ∧ weary ∧ intellectual ⇒ witty” because missing: loving, weary, intellectual.
",0,7
"Facts:  Alice is enchanting [PERIOD] Alice is comfortable [PERIOD] Alice is pleasant [PERIOD] Alice is courageous [PERIOD] Alice is excited [PERIOD] Alice is confused [PERIOD] Alice is unpleasant [PERIOD] Alice is fine [PERIOD] Alice is pessimistic [PERIOD] Alice is cruel [PERIOD] Alice is inquisitive [PERIOD] Alice is average [PERIOD] Alice is grumpy [PERIOD] Alice is anxious [PERIOD] Alice is impartial [PERIOD] Alice is blushing [PERIOD] Alice is silly [PERIOD] Alice is scared [PERIOD] Alice is wide-eyed [PERIOD] Alice is tired [PERIOD] Alice is joyous [PERIOD] Alice is talented [PERIOD] Alice is stormy [PERIOD] Alice is serious [PERIOD] Alice is condemned [PERIOD] Alice is muddy [PERIOD] Alice is thoughtful [PERIOD] Alice is foolish [PERIOD] Alice is gleaming [PERIOD] Alice is helpful [PERIOD]
Rules:
foolish [IMPLY] scared [PERIOD]
pleasant [IMPLY] talented [PERIOD]
gleaming [AND] condemned [AND] thoughtful [IMPLY] helpful [PERIOD]
condemned [AND] gleaming [IMPLY] anxious [PERIOD]
courageous [IMPLY] inquisitive [PERIOD]
wide-eyed [IMPLY] scared [PERIOD]
grumpy [AND] excited [AND] muddy [IMPLY] cruel [PERIOD]
scared [AND] pessimistic [AND] gleaming [IMPLY] courageous [PERIOD]
joyous [AND] helpful [AND] foolish [IMPLY] fine [PERIOD]
enchanting [AND] thoughtful [IMPLY] excited [PERIOD]
courageous [AND] wide-eyed [IMPLY] muddy [PERIOD]
thoughtful [AND] muddy [AND] cruel [IMPLY] courageous [PERIOD]
stormy [IMPLY] confused [PERIOD]
serious [AND] silly [IMPLY] tired [PERIOD]
silly [IMPLY] pleasant [PERIOD]
silly [AND] talented [IMPLY] pessimistic [PERIOD]
excited [IMPLY] joyous [PERIOD]
courageous [IMPLY] average [PERIOD]
tired [AND] impartial [IMPLY] silly [PERIOD]
pleasant [AND] confused [IMPLY] excited [PERIOD]
pleasant [AND] condemned [AND] comfortable [IMPLY] anxious [PERIOD]
thoughtful [AND] talented [IMPLY] inquisitive [PERIOD]
pleasant [AND] average [IMPLY] excited [PERIOD]
serious [AND] cruel [IMPLY] pleasant [PERIOD]
scared [AND] condemned [IMPLY] joyous [PERIOD]
pessimistic [AND] talented [AND] foolish [IMPLY] gleaming [PERIOD]
grumpy [AND] tired [IMPLY] scared [PERIOD]
fine [IMPLY] stormy [PERIOD]
silly [AND] inquisitive [AND] impartial [IMPLY] foolish [PERIOD]
foolish [AND] blushing [AND] thoughtful [IMPLY] tired [PERIOD]
tired [IMPLY] thoughtful [PERIOD]
stormy [IMPLY] helpful [PERIOD]
anxious [AND] courageous [AND] pessimistic [IMPLY] inquisitive [PERIOD]
serious [IMPLY] tired [PERIOD]
cruel [AND] pleasant [IMPLY] muddy [PERIOD]
pessimistic [IMPLY] gleaming [PERIOD]
anxious [AND] enchanting [AND] grumpy [IMPLY] fine [PERIOD]
scared [IMPLY] comfortable [PERIOD]
tired [AND] excited [AND] stormy [IMPLY] average [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is glamorous [PERIOD] Alice is thoughtless [PERIOD] Alice is joyous [PERIOD] Alice is tidy [PERIOD] Alice is weary [PERIOD] Alice is fearless [PERIOD] Alice is modern [PERIOD] Alice is tired [PERIOD] Alice is proud [PERIOD] Alice is fancy [PERIOD] Alice is worried [PERIOD] Alice is helpful [PERIOD] Alice is dull [PERIOD] Alice is cruel [PERIOD] Alice is disgusted [PERIOD] Alice is frail [PERIOD]
Rules:
cruel [AND] proud [AND] famous [IMPLY] dull [PERIOD]
worried [AND] proud [AND] old-fashioned [IMPLY] cruel [PERIOD]
disgusted [AND] famous [AND] modern [IMPLY] worried [PERIOD]
proud [IMPLY] scared [PERIOD]
worried [AND] thoughtless [IMPLY] fearless [PERIOD]
disgusted [AND] helpful [AND] dull [IMPLY] scared [PERIOD]
scared [IMPLY] ugliest [PERIOD]
modern [AND] careless [AND] fearless [IMPLY] ugliest [PERIOD]
attractive [AND] fearless [AND] ugliest [IMPLY] thoughtless [PERIOD]
weary [IMPLY] frail [PERIOD]
blushing [IMPLY] disgusted [PERIOD]
ugliest [AND] dull [IMPLY] famous [PERIOD]
blushing [AND] tired [AND] weary [IMPLY] glamorous [PERIOD]
disgusted [IMPLY] worried [PERIOD]
ugliest [AND] attractive [IMPLY] dull [PERIOD]
proud [AND] glamorous [IMPLY] dull [PERIOD]
proud [IMPLY] dull [PERIOD]
weary [AND] fearless [IMPLY] dull [PERIOD]
ugliest [IMPLY] thoughtless [PERIOD]
famous [AND] fancy [IMPLY] dull [PERIOD]
scared [IMPLY] weary [PERIOD]
careless [AND] old-fashioned [AND] tidy [IMPLY] attractive [PERIOD]
tidy [AND] old-fashioned [IMPLY] frail [PERIOD]
old-fashioned [AND] worried [AND] glamorous [IMPLY] tidy [PERIOD]
fancy [AND] helpful [IMPLY] disgusted [PERIOD]
tired [AND] weary [AND] glamorous [IMPLY] joyous [PERIOD]
dull [AND] careless [IMPLY] proud [PERIOD]
modern [AND] weary [IMPLY] worried [PERIOD]
careless [AND] famous [AND] disgusted [IMPLY] joyous [PERIOD]
disgusted [AND] tired [AND] fearless [IMPLY] worried [PERIOD]
tired [AND] helpful [AND] fancy [IMPLY] proud [PERIOD]
tired [AND] frail [IMPLY] helpful [PERIOD]
dull [AND] attractive [AND] helpful [IMPLY] ugliest [PERIOD]
famous [AND] worried [AND] careless [IMPLY] glamorous [PERIOD]
proud [AND] famous [IMPLY] tired [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   disgusted ∧ helpful ∧ dull ⇒ scared
   scared ⇒ ugliest
   ugliest ∧ dull ⇒ famous
",1,3
"Facts:  Alice is glamorous [PERIOD] Alice is elegant [PERIOD]
Rules:
alert [IMPLY] naughty [PERIOD]
naughty [AND] shiny [AND] alert [IMPLY] glamorous [PERIOD]
shiny [IMPLY] alert [PERIOD]
elegant [AND] alert [IMPLY] naughty [PERIOD]
glamorous [AND] elegant [IMPLY] naughty [PERIOD]
elegant [AND] naughty [IMPLY] glamorous [PERIOD]
shiny [AND] naughty [IMPLY] alert [PERIOD]
shiny [AND] naughty [IMPLY] glamorous [PERIOD]
naughty [AND] shiny [IMPLY] elegant [PERIOD]
naughty [AND] shiny [AND] glamorous [IMPLY] elegant [PERIOD]
elegant [AND] alert [IMPLY] glamorous [PERIOD]
naughty [AND] glamorous [AND] alert [IMPLY] shiny [PERIOD]
naughty [AND] shiny [AND] elegant [IMPLY] alert [PERIOD]
glamorous [AND] elegant [AND] alert [IMPLY] naughty [PERIOD]
elegant [IMPLY] glamorous [PERIOD]
elegant [AND] naughty [IMPLY] alert [PERIOD]
glamorous [IMPLY] naughty [PERIOD]
glamorous [AND] naughty [IMPLY] elegant [PERIOD]
shiny [AND] glamorous [IMPLY] naughty [PERIOD]
naughty [AND] elegant [AND] alert [IMPLY] shiny [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   glamorous ∧ elegant ⇒ naughty
   elegant ∧ naughty ⇒ alert
",1,2
"Facts:  Alice is uptight [PERIOD] Alice is outrageous [PERIOD] Alice is crowded [PERIOD] Alice is old-fashioned [PERIOD] Alice is tense [PERIOD]
Rules:
old-fashioned [AND] ugly [IMPLY] crowded [PERIOD]
old-fashioned [AND] ugly [AND] tender [IMPLY] alert [PERIOD]
supportive [AND] old-fashioned [IMPLY] uptight [PERIOD]
messy [AND] light [IMPLY] confused [PERIOD]
careless [IMPLY] tense [PERIOD]
aggressive [AND] loving [IMPLY] alert [PERIOD]
messy [AND] lucky [AND] confused [IMPLY] tender [PERIOD]
long [AND] gleaming [IMPLY] light [PERIOD]
ugly [AND] difficult [IMPLY] light [PERIOD]
gleaming [IMPLY] old-fashioned [PERIOD]
aggressive [AND] careless [IMPLY] old-fashioned [PERIOD]
messy [AND] alert [AND] ugly [IMPLY] long [PERIOD]
outrageous [AND] gleaming [AND] ugly [IMPLY] fearless [PERIOD]
gleaming [IMPLY] alert [PERIOD]
different [IMPLY] uptight [PERIOD]
tender [IMPLY] light [PERIOD]
loving [AND] uptight [AND] tense [IMPLY] confused [PERIOD]
light [AND] confused [AND] ugly [IMPLY] lucky [PERIOD]
fearless [AND] crowded [IMPLY] difficult [PERIOD]
confused [AND] outrageous [AND] aggressive [IMPLY] difficult [PERIOD]
loving [AND] old-fashioned [AND] tender [IMPLY] alert [PERIOD]
careless [AND] tense [AND] confused [IMPLY] long [PERIOD]
tense [IMPLY] outrageous [PERIOD]
long [AND] crowded [IMPLY] alert [PERIOD]
alert [AND] lucky [AND] old-fashioned [IMPLY] confused [PERIOD]
lucky [AND] confused [IMPLY] different [PERIOD]
uptight [IMPLY] tender [PERIOD]
careless [AND] troubled [AND] light [IMPLY] uptight [PERIOD]
confused [IMPLY] long [PERIOD]
alert [AND] aggressive [AND] careless [IMPLY] uptight [PERIOD]
messy [IMPLY] gleaming [PERIOD]
confused [AND] alert [IMPLY] old-fashioned [PERIOD]
alert [AND] lucky [IMPLY] light [PERIOD]
tender [IMPLY] gleaming [PERIOD]
crowded [AND] aggressive [IMPLY] supportive [PERIOD]
light [IMPLY] aggressive [PERIOD]
alert [AND] long [AND] troubled [IMPLY] ugly [PERIOD]
different [AND] aggressive [AND] tender [IMPLY] old-fashioned [PERIOD]
supportive [AND] old-fashioned [IMPLY] alert [PERIOD]
long [AND] difficult [IMPLY] different [PERIOD]
careless [IMPLY] long [PERIOD]
loving [AND] different [IMPLY] tense [PERIOD]
careless [AND] tense [IMPLY] messy [PERIOD]
confused [AND] gleaming [IMPLY] uptight [PERIOD]
light [AND] troubled [AND] different [IMPLY] difficult [PERIOD]
troubled [AND] ugly [IMPLY] crowded [PERIOD]
gleaming [IMPLY] outrageous [PERIOD]
different [AND] crowded [AND] fearless [IMPLY] ugly [PERIOD]
loving [IMPLY] alert [PERIOD]
crowded [IMPLY] confused [PERIOD]
supportive [AND] different [AND] confused [IMPLY] alert [PERIOD]
careless [AND] fearless [AND] lucky [IMPLY] confused [PERIOD]
loving [IMPLY] lucky [PERIOD]
tense [IMPLY] crowded [PERIOD]
long [IMPLY] uptight [PERIOD]
confused [AND] supportive [AND] loving [IMPLY] different [PERIOD]
alert [AND] tender [IMPLY] loving [PERIOD]
careless [AND] alert [IMPLY] lucky [PERIOD]
troubled [AND] outrageous [AND] fearless [IMPLY] loving [PERIOD]
crowded [AND] long [IMPLY] fearless [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   uptight ⇒ tender
   tender ⇒ light
   light ⇒ aggressive
   crowded ∧ aggressive ⇒ supportive
",1,4
"Facts: 
Rules:
spotless [IMPLY] smart [PERIOD]
distinct [AND] spotless [AND] confident [IMPLY] smart [PERIOD]
gleaming [AND] ambitious [AND] strange [IMPLY] victorious [PERIOD]
fearless [AND] alert [IMPLY] witty [PERIOD]
lucky [IMPLY] strange [PERIOD]
smart [IMPLY] strange [PERIOD]
gleaming [IMPLY] alert [PERIOD]
distinct [IMPLY] smart [PERIOD]
witty [AND] distinct [AND] confident [IMPLY] alert [PERIOD]
victorious [AND] versatile [IMPLY] alert [PERIOD]
distinct [AND] ambitious [IMPLY] lucky [PERIOD]
victorious [IMPLY] lucky [PERIOD]
witty [AND] gleaming [AND] distinct [IMPLY] versatile [PERIOD]
victorious [IMPLY] alert [PERIOD]
smart [IMPLY] spotless [PERIOD]
strange [AND] victorious [IMPLY] distinct [PERIOD]
versatile [AND] smart [AND] fearless [IMPLY] witty [PERIOD]
victorious [IMPLY] confident [PERIOD]
gleaming [AND] victorious [AND] smart [IMPLY] alert [PERIOD]
ambitious [IMPLY] gleaming [PERIOD]
fearless [AND] ambitious [AND] strange [IMPLY] witty [PERIOD]
smart [AND] alert [IMPLY] victorious [PERIOD]
spotless [IMPLY] alert [PERIOD]
alert [AND] gleaming [IMPLY] smart [PERIOD]
smart [AND] confident [IMPLY] alert [PERIOD]
witty [AND] smart [IMPLY] strange [PERIOD]
victorious [AND] witty [AND] alert [IMPLY] distinct [PERIOD]
spotless [AND] fearless [AND] witty [IMPLY] strange [PERIOD]
strange [AND] victorious [AND] distinct [IMPLY] fearless [PERIOD]
distinct [AND] spotless [AND] smart [IMPLY] versatile [PERIOD]
confident [AND] alert [AND] fearless [IMPLY] smart [PERIOD]
ambitious [AND] versatile [IMPLY] confident [PERIOD]
witty [AND] versatile [IMPLY] lucky [PERIOD]
spotless [IMPLY] strange [PERIOD]
fearless [AND] victorious [IMPLY] distinct [PERIOD]
witty [IMPLY] spotless [PERIOD]
fearless [AND] strange [IMPLY] smart [PERIOD]
strange [IMPLY] versatile [PERIOD]
victorious [AND] confident [AND] witty [IMPLY] smart [PERIOD]
gleaming [AND] fearless [AND] confident [IMPLY] strange [PERIOD]
ambitious [AND] gleaming [AND] spotless [IMPLY] victorious [PERIOD]
confident [AND] victorious [IMPLY] versatile [PERIOD]
ambitious [AND] smart [IMPLY] spotless [PERIOD]
fearless [AND] ambitious [AND] versatile [IMPLY] lucky [PERIOD]
witty [IMPLY] confident [PERIOD]
spotless [AND] versatile [AND] fearless [IMPLY] alert [PERIOD]
distinct [IMPLY] gleaming [PERIOD]
smart [AND] gleaming [AND] victorious [IMPLY] versatile [PERIOD]
versatile [AND] distinct [AND] spotless [IMPLY] ambitious [PERIOD]
confident [AND] gleaming [IMPLY] versatile [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   Cannot apply rule “lucky ⇒ strange” because missing: lucky.
   Cannot apply rule “smart ⇒ strange” because missing: smart.
   Cannot apply rule “witty ∧ smart ⇒ strange” because missing: witty, smart.
   Cannot apply rule “spotless ∧ fearless ∧ witty ⇒ strange” because missing: spotless, fearless, witty.
   Cannot apply rule “spotless ⇒ strange” because missing: spotless.
   Cannot apply rule “gleaming ∧ fearless ∧ confident ⇒ strange” because missing: gleaming, fearless, confident.
",0,6
"Facts:  Alice is naughty [PERIOD]
Rules:
dishonest [AND] troubled [AND] bright [IMPLY] unpleasant [PERIOD]
different [AND] dishonest [AND] smart [IMPLY] troubled [PERIOD]
dishonest [AND] fearless [IMPLY] naughty [PERIOD]
selfish [AND] bright [AND] naughty [IMPLY] troubled [PERIOD]
smart [AND] fearless [IMPLY] unpleasant [PERIOD]
curious [IMPLY] tense [PERIOD]
different [AND] fearless [IMPLY] selfish [PERIOD]
gifted [AND] amused [AND] smart [IMPLY] dishonest [PERIOD]
fearless [AND] naughty [AND] gifted [IMPLY] unpleasant [PERIOD]
dishonest [IMPLY] bright [PERIOD]
tense [IMPLY] different [PERIOD]
selfish [AND] unpleasant [AND] dishonest [IMPLY] bright [PERIOD]
different [IMPLY] fearless [PERIOD]
different [AND] gifted [AND] curious [IMPLY] dishonest [PERIOD]
smart [IMPLY] different [PERIOD]
naughty [AND] fearless [IMPLY] ugly [PERIOD]
troubled [AND] bright [IMPLY] gifted [PERIOD]
naughty [IMPLY] amused [PERIOD]
fearless [IMPLY] different [PERIOD]
dishonest [AND] fearless [AND] selfish [IMPLY] different [PERIOD]
troubled [IMPLY] fearless [PERIOD]
selfish [AND] troubled [IMPLY] ugly [PERIOD]
dishonest [AND] unpleasant [AND] gifted [IMPLY] tense [PERIOD]
ugly [AND] smart [IMPLY] different [PERIOD]
ugly [IMPLY] selfish [PERIOD]
fearless [AND] amused [AND] dishonest [IMPLY] unpleasant [PERIOD]
ugly [AND] bright [IMPLY] naughty [PERIOD]
naughty [AND] fearless [AND] dishonest [IMPLY] unpleasant [PERIOD]
amused [IMPLY] fearless [PERIOD]
gifted [IMPLY] naughty [PERIOD]
curious [IMPLY] naughty [PERIOD]
ugly [AND] naughty [AND] smart [IMPLY] amused [PERIOD]
bright [IMPLY] tense [PERIOD]
fearless [AND] bright [IMPLY] curious [PERIOD]
naughty [AND] curious [AND] gifted [IMPLY] tense [PERIOD]
fearless [IMPLY] selfish [PERIOD]
gifted [AND] ugly [IMPLY] dishonest [PERIOD]
dishonest [AND] amused [IMPLY] smart [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   naughty ⇒ amused
   amused ⇒ fearless
   fearless ⇒ different
",1,3
"Facts:  Alice is reserved [PERIOD]
Rules:
friendly [AND] stupid [IMPLY] vivacious [PERIOD]
clean [AND] innocent [IMPLY] friendly [PERIOD]
lonely [AND] stupid [IMPLY] tired [PERIOD]
lonely [AND] stupid [AND] modern [IMPLY] friendly [PERIOD]
clean [AND] reserved [AND] lonely [IMPLY] vivacious [PERIOD]
uptight [AND] ugliest [IMPLY] stupid [PERIOD]
friendly [AND] frightened [AND] tired [IMPLY] stupid [PERIOD]
frightened [AND] amused [AND] reserved [IMPLY] stupid [PERIOD]
shiny [IMPLY] friendly [PERIOD]
amused [AND] ugliest [IMPLY] clean [PERIOD]
lonely [AND] condemned [IMPLY] ugliest [PERIOD]
reserved [IMPLY] thoughtless [PERIOD]
joyous [AND] amused [IMPLY] innocent [PERIOD]
reserved [AND] friendly [AND] innocent [IMPLY] vivacious [PERIOD]
stupid [AND] thoughtless [AND] tired [IMPLY] condemned [PERIOD]
clean [IMPLY] vivacious [PERIOD]
joyous [AND] uptight [IMPLY] reserved [PERIOD]
stupid [IMPLY] ugliest [PERIOD]
modern [AND] lonely [IMPLY] vivacious [PERIOD]
thoughtless [AND] amused [AND] lonely [IMPLY] condemned [PERIOD]
innocent [AND] clean [AND] thoughtless [IMPLY] frightened [PERIOD]
shiny [AND] clean [AND] condemned [IMPLY] modern [PERIOD]
ugliest [AND] tired [IMPLY] uptight [PERIOD]
tired [AND] joyous [AND] ugliest [IMPLY] frightened [PERIOD]
shiny [AND] modern [IMPLY] uptight [PERIOD]
frightened [AND] ugliest [AND] thoughtless [IMPLY] reserved [PERIOD]
lonely [AND] shiny [IMPLY] reserved [PERIOD]
friendly [IMPLY] lonely [PERIOD]
joyous [AND] modern [AND] clean [IMPLY] friendly [PERIOD]
condemned [AND] lonely [AND] joyous [IMPLY] frightened [PERIOD]
innocent [AND] frightened [IMPLY] friendly [PERIOD]
joyous [IMPLY] reserved [PERIOD]
reserved [AND] uptight [IMPLY] clean [PERIOD]
lonely [AND] frightened [IMPLY] modern [PERIOD]
innocent [AND] tired [AND] shiny [IMPLY] ugliest [PERIOD]
lonely [AND] condemned [IMPLY] shiny [PERIOD]
modern [AND] friendly [IMPLY] amused [PERIOD]
shiny [AND] modern [IMPLY] stupid [PERIOD]
shiny [IMPLY] thoughtless [PERIOD]
ugliest [IMPLY] tired [PERIOD]
vivacious [AND] reserved [IMPLY] clean [PERIOD]
frightened [IMPLY] stupid [PERIOD]
clean [IMPLY] joyous [PERIOD]
uptight [AND] modern [IMPLY] reserved [PERIOD]
ugliest [IMPLY] innocent [PERIOD]
uptight [AND] tired [AND] innocent [IMPLY] joyous [PERIOD]
lonely [IMPLY] condemned [PERIOD]
lonely [AND] amused [AND] modern [IMPLY] friendly [PERIOD]
tired [AND] reserved [IMPLY] amused [PERIOD]
stupid [AND] friendly [AND] clean [IMPLY] lonely [PERIOD]
modern [AND] stupid [IMPLY] lonely [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
   reserved ⇒ thoughtless
   Cannot apply rule “stupid ∧ thoughtless ∧ tired ⇒ condemned” because missing: stupid, tired.
   reserved ⇒ thoughtless
   Cannot apply rule “thoughtless ∧ amused ∧ lonely ⇒ condemned” because missing: amused, lonely.
   Cannot apply rule “lonely ⇒ condemned” because missing: lonely.
",0,5
"Facts:  Alice is busy [PERIOD] Alice is attentive [PERIOD]
Rules:
supportive [AND] nervous [IMPLY] elegant [PERIOD]
sensible [IMPLY] attentive [PERIOD]
good [AND] gorgeous [AND] frantic [IMPLY] busy [PERIOD]
frantic [AND] popular [AND] comfortable [IMPLY] condemned [PERIOD]
hurt [AND] alert [IMPLY] attentive [PERIOD]
elegant [AND] nervous [AND] popular [IMPLY] stubborn [PERIOD]
good [AND] hurt [AND] condemned [IMPLY] stubborn [PERIOD]
stubborn [AND] outstanding [IMPLY] gorgeous [PERIOD]
attentive [IMPLY] disgusted [PERIOD]
hurt [AND] good [IMPLY] sensible [PERIOD]
condemned [AND] elegant [AND] gorgeous [IMPLY] attentive [PERIOD]
outstanding [AND] gorgeous [IMPLY] frantic [PERIOD]
elegant [AND] hurt [IMPLY] lucky [PERIOD]
attentive [AND] supportive [IMPLY] disgusted [PERIOD]
attentive [AND] supportive [AND] popular [IMPLY] stubborn [PERIOD]
alert [AND] disgusted [IMPLY] sensible [PERIOD]
disgusted [IMPLY] hurt [PERIOD]
condemned [AND] attentive [AND] lucky [IMPLY] hurt [PERIOD]
busy [AND] comfortable [IMPLY] stubborn [PERIOD]
busy [IMPLY] disgusted [PERIOD]
alert [AND] comfortable [AND] nervous [IMPLY] attentive [PERIOD]
comfortable [IMPLY] sensible [PERIOD]
condemned [AND] outstanding [IMPLY] popular [PERIOD]
elegant [AND] hurt [IMPLY] stubborn [PERIOD]
condemned [AND] disgusted [AND] comfortable [IMPLY] sensible [PERIOD]
alert [AND] stubborn [IMPLY] attentive [PERIOD]
nervous [AND] stubborn [IMPLY] outstanding [PERIOD]
alert [AND] sensible [AND] lucky [IMPLY] elegant [PERIOD]
elegant [IMPLY] busy [PERIOD]
condemned [AND] hurt [AND] gorgeous [IMPLY] comfortable [PERIOD]
frantic [AND] outstanding [IMPLY] popular [PERIOD]
supportive [AND] comfortable [IMPLY] sensible [PERIOD]
nervous [AND] elegant [IMPLY] frantic [PERIOD]
alert [AND] lucky [AND] condemned [IMPLY] hurt [PERIOD]
busy [IMPLY] popular [PERIOD]
frantic [AND] elegant [AND] good [IMPLY] hurt [PERIOD]
lucky [AND] nervous [AND] condemned [IMPLY] busy [PERIOD]
sensible [AND] popular [IMPLY] supportive [PERIOD]
gorgeous [AND] condemned [IMPLY] attentive [PERIOD]
alert [AND] frantic [AND] hurt [IMPLY] disgusted [PERIOD]
busy [AND] sensible [IMPLY] popular [PERIOD]
stubborn [IMPLY] disgusted [PERIOD]
hurt [IMPLY] outstanding [PERIOD]
gorgeous [IMPLY] popular [PERIOD]
nervous [IMPLY] comfortable [PERIOD]
supportive [IMPLY] good [PERIOD]
good [AND] supportive [AND] lucky [IMPLY] elegant [PERIOD]
popular [IMPLY] gorgeous [PERIOD]
nervous [IMPLY] frantic [PERIOD]
disgusted [IMPLY] popular [PERIOD]
nervous [IMPLY] condemned [PERIOD]
frantic [IMPLY] lucky [PERIOD]
supportive [IMPLY] gorgeous [PERIOD]
busy [AND] good [IMPLY] frantic [PERIOD]
outstanding [AND] alert [AND] elegant [IMPLY] stubborn [PERIOD]
popular [IMPLY] alert [PERIOD]
outstanding [IMPLY] alert [PERIOD]
sensible [AND] hurt [AND] supportive [IMPLY] lucky [PERIOD]
disgusted [AND] lucky [AND] stubborn [IMPLY] sensible [PERIOD]
hurt [AND] good [AND] elegant [IMPLY] popular [PERIOD]
disgusted [AND] stubborn [IMPLY] alert [PERIOD]
outstanding [AND] busy [AND] disgusted [IMPLY] nervous [PERIOD]
comfortable [AND] hurt [IMPLY] nervous [PERIOD]
elegant [IMPLY] alert [PERIOD]
nervous [AND] attentive [AND] good [IMPLY] lucky [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   busy ⇒ popular
   popular ⇒ alert
   attentive ⇒ disgusted
   alert ∧ disgusted ⇒ sensible
   busy ⇒ popular
   sensible ∧ popular ⇒ supportive
",1,6
"Facts: 
Rules:
aggressive [IMPLY] innocent [PERIOD]
lonely [AND] weary [IMPLY] spotless [PERIOD]
alert [AND] charming [AND] straightforward [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] worried [PERIOD]
lonely [AND] spotless [IMPLY] aggressive [PERIOD]
fragile [AND] straightforward [IMPLY] horrible [PERIOD]
ugliest [AND] beautiful [AND] worried [IMPLY] aggressive [PERIOD]
lonely [IMPLY] fragile [PERIOD]
worried [AND] straightforward [IMPLY] horrible [PERIOD]
alert [AND] lonely [IMPLY] weary [PERIOD]
spotless [IMPLY] horrible [PERIOD]
fragile [IMPLY] lonely [PERIOD]
spotless [AND] fragile [IMPLY] straightforward [PERIOD]
beautiful [AND] spotless [IMPLY] charming [PERIOD]
alert [AND] worried [AND] lonely [IMPLY] weary [PERIOD]
aggressive [AND] worried [AND] straightforward [IMPLY] innocent [PERIOD]
alert [AND] weary [IMPLY] horrible [PERIOD]
spotless [AND] straightforward [AND] lonely [IMPLY] ugliest [PERIOD]
innocent [AND] beautiful [IMPLY] straightforward [PERIOD]
ugliest [IMPLY] spotless [PERIOD]
innocent [AND] spotless [AND] lonely [IMPLY] worried [PERIOD]
horrible [AND] ugliest [IMPLY] weary [PERIOD]
spotless [AND] charming [IMPLY] aggressive [PERIOD]
alert [AND] beautiful [AND] charming [IMPLY] straightforward [PERIOD]
ugliest [AND] horrible [IMPLY] spotless [PERIOD]
weary [AND] innocent [AND] straightforward [IMPLY] fragile [PERIOD]
lonely [IMPLY] aggressive [PERIOD]
beautiful [IMPLY] weary [PERIOD]
weary [AND] ugliest [IMPLY] fragile [PERIOD]
horrible [IMPLY] lonely [PERIOD]
fragile [IMPLY] aggressive [PERIOD]
straightforward [AND] innocent [AND] weary [IMPLY] ugliest [PERIOD]
spotless [AND] charming [AND] alert [IMPLY] innocent [PERIOD]
beautiful [IMPLY] aggressive [PERIOD]
innocent [IMPLY] lonely [PERIOD]
innocent [IMPLY] ugliest [PERIOD]
charming [IMPLY] spotless [PERIOD]
spotless [AND] lonely [IMPLY] beautiful [PERIOD]
charming [IMPLY] worried [PERIOD]
lonely [AND] beautiful [AND] weary [IMPLY] alert [PERIOD]
innocent [AND] horrible [IMPLY] straightforward [PERIOD]
alert [AND] weary [IMPLY] aggressive [PERIOD]
worried [IMPLY] lonely [PERIOD]
spotless [AND] weary [IMPLY] fragile [PERIOD]
straightforward [AND] ugliest [AND] spotless [IMPLY] charming [PERIOD]
aggressive [AND] lonely [AND] horrible [IMPLY] beautiful [PERIOD]
weary [AND] aggressive [AND] straightforward [IMPLY] ugliest [PERIOD]
aggressive [AND] fragile [IMPLY] spotless [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   Cannot apply rule “fragile ∧ straightforward ⇒ horrible” because missing: fragile, straightforward.
   Cannot apply rule “worried ∧ straightforward ⇒ horrible” because missing: worried, straightforward.
   Cannot apply rule “spotless ⇒ horrible” because missing: spotless.
   Cannot apply rule “alert ∧ weary ⇒ horrible” because missing: alert, weary.
",0,4
"Facts:  Alice is amused [PERIOD] Alice is comfortable [PERIOD] Alice is light [PERIOD]
Rules:
bad-tempered [AND] frantic [AND] nervous [IMPLY] modern [PERIOD]
tender [AND] modern [AND] crowded [IMPLY] messy [PERIOD]
light [IMPLY] blushing [PERIOD]
modern [AND] thoughtful [AND] uptight [IMPLY] tidy [PERIOD]
blushing [IMPLY] bad-tempered [PERIOD]
careless [AND] comfortable [IMPLY] crowded [PERIOD]
frantic [IMPLY] crowded [PERIOD]
modern [IMPLY] unpleasant [PERIOD]
crowded [AND] frantic [IMPLY] powerful [PERIOD]
nervous [AND] reserved [IMPLY] tender [PERIOD]
bad-tempered [IMPLY] powerful [PERIOD]
frantic [AND] glamorous [IMPLY] light [PERIOD]
comfortable [IMPLY] powerful [PERIOD]
comfortable [AND] light [IMPLY] glamorous [PERIOD]
glamorous [AND] thoughtful [AND] careless [IMPLY] tidy [PERIOD]
amused [AND] comfortable [AND] crowded [IMPLY] modern [PERIOD]
powerful [AND] amused [IMPLY] tender [PERIOD]
blushing [AND] serious [IMPLY] nervous [PERIOD]
tender [AND] bad-tempered [AND] amused [IMPLY] serious [PERIOD]
tidy [AND] frantic [AND] unpleasant [IMPLY] light [PERIOD]
modern [AND] light [AND] unpleasant [IMPLY] reserved [PERIOD]
crowded [AND] messy [AND] thoughtful [IMPLY] blushing [PERIOD]
comfortable [AND] messy [AND] modern [IMPLY] frantic [PERIOD]
thoughtful [AND] light [AND] frantic [IMPLY] careless [PERIOD]
uptight [AND] careless [AND] messy [IMPLY] modern [PERIOD]
frantic [AND] nervous [IMPLY] tender [PERIOD]
serious [AND] messy [AND] amused [IMPLY] frantic [PERIOD]
reserved [AND] light [IMPLY] frantic [PERIOD]
unpleasant [IMPLY] amused [PERIOD]
tidy [AND] powerful [AND] careless [IMPLY] bad-tempered [PERIOD]
thoughtful [AND] careless [AND] blushing [IMPLY] bad-tempered [PERIOD]
frantic [AND] uptight [AND] powerful [IMPLY] light [PERIOD]
light [AND] tender [AND] thoughtful [IMPLY] tidy [PERIOD]
unpleasant [AND] messy [IMPLY] tidy [PERIOD]
reserved [AND] careless [AND] modern [IMPLY] amused [PERIOD]
messy [IMPLY] thoughtful [PERIOD]
powerful [IMPLY] reserved [PERIOD]
tidy [AND] messy [IMPLY] nervous [PERIOD]
careless [IMPLY] messy [PERIOD]
modern [AND] tidy [IMPLY] powerful [PERIOD]
unpleasant [AND] modern [AND] reserved [IMPLY] light [PERIOD]
serious [IMPLY] blushing [PERIOD]
nervous [AND] messy [IMPLY] serious [PERIOD]
nervous [IMPLY] uptight [PERIOD]
powerful [AND] bad-tempered [AND] crowded [IMPLY] messy [PERIOD]
powerful [IMPLY] nervous [PERIOD]
uptight [AND] light [AND] messy [IMPLY] reserved [PERIOD]
tidy [AND] uptight [IMPLY] reserved [PERIOD]
blushing [IMPLY] glamorous [PERIOD]
careless [AND] reserved [AND] light [IMPLY] tender [PERIOD]
uptight [AND] powerful [AND] tender [IMPLY] amused [PERIOD]
glamorous [AND] amused [IMPLY] modern [PERIOD]
modern [AND] glamorous [IMPLY] bad-tempered [PERIOD]
light [AND] powerful [AND] amused [IMPLY] crowded [PERIOD]
careless [AND] tender [IMPLY] powerful [PERIOD]
tender [IMPLY] crowded [PERIOD]
uptight [AND] tender [IMPLY] serious [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   comfortable ⇒ powerful
   powerful ⇒ nervous
",1,2
"Facts:  Alice is mean [PERIOD] Alice is diplomatic [PERIOD]
Rules:
mean [AND] worried [AND] cooperative [IMPLY] amused [PERIOD]
worried [AND] amused [AND] disobedient [IMPLY] mean [PERIOD]
worried [AND] cooperative [AND] amused [IMPLY] diplomatic [PERIOD]
cooperative [AND] diplomatic [AND] worried [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] mean [PERIOD]
diplomatic [AND] cooperative [IMPLY] amused [PERIOD]
cooperative [AND] disobedient [IMPLY] diplomatic [PERIOD]
diplomatic [IMPLY] cooperative [PERIOD]
worried [AND] cooperative [AND] disobedient [IMPLY] mean [PERIOD]
cooperative [AND] disobedient [AND] amused [IMPLY] diplomatic [PERIOD]
diplomatic [IMPLY] worried [PERIOD]
amused [AND] diplomatic [AND] worried [IMPLY] disobedient [PERIOD]
cooperative [AND] diplomatic [AND] disobedient [IMPLY] amused [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   diplomatic ⇒ cooperative
   diplomatic ⇒ worried
   cooperative ∧ diplomatic ∧ worried ⇒ disobedient
",1,3
"Facts:  Alice is zealous [PERIOD]
Rules:
light [AND] diplomatic [IMPLY] old-fashioned [PERIOD]
mysterious [AND] helpless [AND] uptight [IMPLY] diplomatic [PERIOD]
confused [IMPLY] zealous [PERIOD]
reserved [IMPLY] zealous [PERIOD]
confused [AND] reserved [IMPLY] messy [PERIOD]
dull [AND] zealous [IMPLY] bright [PERIOD]
shiny [AND] confused [AND] reserved [IMPLY] outrageous [PERIOD]
messy [AND] diplomatic [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] ugly [PERIOD]
mysterious [AND] bright [AND] diplomatic [IMPLY] stormy [PERIOD]
stormy [IMPLY] mysterious [PERIOD]
confident [AND] old-fashioned [AND] uptight [IMPLY] agreeable [PERIOD]
witty [IMPLY] dull [PERIOD]
confused [AND] shiny [AND] ugly [IMPLY] reserved [PERIOD]
zealous [AND] confident [AND] stormy [IMPLY] agreeable [PERIOD]
helpless [AND] frail [IMPLY] outrageous [PERIOD]
helpless [IMPLY] messy [PERIOD]
shiny [IMPLY] witty [PERIOD]
light [IMPLY] uptight [PERIOD]
outrageous [AND] bright [AND] helpless [IMPLY] disgusted [PERIOD]
witty [AND] reserved [IMPLY] mysterious [PERIOD]
diplomatic [AND] confused [AND] frail [IMPLY] messy [PERIOD]
helpless [IMPLY] outrageous [PERIOD]
diplomatic [IMPLY] zealous [PERIOD]
reserved [AND] helpless [AND] ugly [IMPLY] disgusted [PERIOD]
stormy [AND] disgusted [IMPLY] messy [PERIOD]
worried [AND] diplomatic [IMPLY] grumpy [PERIOD]
outrageous [AND] helpless [IMPLY] grumpy [PERIOD]
frail [AND] diplomatic [IMPLY] confused [PERIOD]
dull [IMPLY] zealous [PERIOD]
bright [IMPLY] worried [PERIOD]
bright [AND] grumpy [AND] mysterious [IMPLY] shiny [PERIOD]
confused [AND] uptight [IMPLY] frail [PERIOD]
shiny [AND] messy [AND] mysterious [IMPLY] stormy [PERIOD]
bright [IMPLY] confident [PERIOD]
zealous [AND] disgusted [AND] frail [IMPLY] stormy [PERIOD]
stormy [AND] ugly [AND] confident [IMPLY] uptight [PERIOD]
ugly [AND] disgusted [AND] confident [IMPLY] zealous [PERIOD]
diplomatic [IMPLY] confident [PERIOD]
zealous [AND] mysterious [AND] agreeable [IMPLY] disgusted [PERIOD]
disgusted [AND] confused [AND] outrageous [IMPLY] mysterious [PERIOD]
dull [IMPLY] frail [PERIOD]
witty [IMPLY] shiny [PERIOD]
zealous [IMPLY] diplomatic [PERIOD]
shiny [AND] zealous [IMPLY] old-fashioned [PERIOD]
confused [AND] worried [AND] disgusted [IMPLY] frail [PERIOD]
zealous [IMPLY] ugly [PERIOD]
shiny [AND] ugly [IMPLY] frail [PERIOD]
helpless [AND] stormy [AND] messy [IMPLY] worried [PERIOD]
confident [AND] grumpy [IMPLY] bright [PERIOD]
frail [AND] outrageous [AND] shiny [IMPLY] disgusted [PERIOD]
dull [AND] disgusted [IMPLY] old-fashioned [PERIOD]
witty [IMPLY] messy [PERIOD]
worried [AND] helpless [IMPLY] old-fashioned [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   zealous ⇒ diplomatic
   Cannot apply rule “light ∧ diplomatic ⇒ old-fashioned” because missing: light.
   Cannot apply rule “shiny ∧ zealous ⇒ old-fashioned” because missing: shiny.
   Cannot apply rule “dull ∧ disgusted ⇒ old-fashioned” because missing: dull, disgusted.
   Cannot apply rule “worried ∧ helpless ⇒ old-fashioned” because missing: worried, helpless.
",0,5
"Facts: 
Rules:
exuberant [IMPLY] lonely [PERIOD]
spotless [AND] horrible [AND] loving [IMPLY] excited [PERIOD]
silly [IMPLY] exuberant [PERIOD]
silly [AND] excited [IMPLY] adorable [PERIOD]
lonely [AND] excited [IMPLY] spotless [PERIOD]
exuberant [IMPLY] adorable [PERIOD]
courageous [AND] troubled [AND] excited [IMPLY] horrible [PERIOD]
witty [IMPLY] horrible [PERIOD]
witty [AND] adorable [IMPLY] courageous [PERIOD]
broad-minded [IMPLY] spotless [PERIOD]
spotless [AND] exuberant [AND] crowded [IMPLY] silly [PERIOD]
charming [IMPLY] careless [PERIOD]
crowded [AND] sleepy [AND] horrible [IMPLY] loving [PERIOD]
courageous [AND] excited [IMPLY] spotless [PERIOD]
attractive [AND] loving [AND] exuberant [IMPLY] spotless [PERIOD]
careless [AND] sleepy [AND] spotless [IMPLY] courageous [PERIOD]
attractive [AND] witty [IMPLY] spotless [PERIOD]
witty [IMPLY] silly [PERIOD]
witty [IMPLY] troubled [PERIOD]
loving [AND] careless [AND] attractive [IMPLY] courageous [PERIOD]
witty [AND] courageous [IMPLY] lonely [PERIOD]
witty [AND] broad-minded [IMPLY] adorable [PERIOD]
horrible [AND] witty [IMPLY] broad-minded [PERIOD]
exuberant [AND] silly [AND] witty [IMPLY] adorable [PERIOD]
lonely [IMPLY] attractive [PERIOD]
courageous [AND] loving [AND] exuberant [IMPLY] troubled [PERIOD]
horrible [AND] lonely [AND] silly [IMPLY] crowded [PERIOD]
loving [IMPLY] charming [PERIOD]
attractive [AND] silly [AND] exuberant [IMPLY] adorable [PERIOD]
broad-minded [IMPLY] sleepy [PERIOD]
sleepy [AND] attractive [AND] loving [IMPLY] excited [PERIOD]
troubled [IMPLY] spotless [PERIOD]
exuberant [IMPLY] horrible [PERIOD]
crowded [IMPLY] courageous [PERIOD]
silly [AND] horrible [AND] loving [IMPLY] excited [PERIOD]
troubled [AND] adorable [AND] sleepy [IMPLY] spotless [PERIOD]
careless [IMPLY] courageous [PERIOD]
silly [AND] loving [AND] broad-minded [IMPLY] charming [PERIOD]
sleepy [AND] horrible [AND] broad-minded [IMPLY] courageous [PERIOD]
careless [AND] charming [IMPLY] exuberant [PERIOD]
sleepy [IMPLY] excited [PERIOD]
careless [IMPLY] excited [PERIOD]
careless [IMPLY] silly [PERIOD]
adorable [AND] careless [IMPLY] exuberant [PERIOD]
spotless [AND] troubled [IMPLY] charming [PERIOD]
exuberant [AND] excited [AND] lonely [IMPLY] charming [PERIOD]
horrible [IMPLY] loving [PERIOD]
loving [AND] excited [IMPLY] careless [PERIOD]
spotless [AND] silly [IMPLY] adorable [PERIOD]
sleepy [AND] courageous [AND] spotless [IMPLY] horrible [PERIOD]
silly [AND] exuberant [IMPLY] horrible [PERIOD]
careless [AND] attractive [IMPLY] witty [PERIOD]
loving [IMPLY] exuberant [PERIOD]
Query: Alice is adorable [PERIOD]","Proof chain:
   Cannot apply rule “silly ∧ excited ⇒ adorable” because missing: silly, excited.
   Cannot apply rule “exuberant ⇒ adorable” because missing: exuberant.
   Cannot apply rule “witty ∧ broad-minded ⇒ adorable” because missing: witty, broad-minded.
   Cannot apply rule “exuberant ∧ silly ∧ witty ⇒ adorable” because missing: exuberant, silly, witty.
   Cannot apply rule “attractive ∧ silly ∧ exuberant ⇒ adorable” because missing: attractive, silly, exuberant.
   Cannot apply rule “spotless ∧ silly ⇒ adorable” because missing: spotless, silly.
",0,6
"Facts:  Alice is homely [PERIOD] Alice is friendly [PERIOD] Alice is quaint [PERIOD] Alice is sincere [PERIOD]
Rules:
powerful [IMPLY] attentive [PERIOD]
quaint [AND] confident [IMPLY] sincere [PERIOD]
friendly [AND] attentive [AND] hypocritical [IMPLY] sincere [PERIOD]
sincere [IMPLY] quaint [PERIOD]
confident [AND] perfect [AND] bored [IMPLY] hypocritical [PERIOD]
attentive [AND] powerful [IMPLY] friendly [PERIOD]
joyous [AND] attentive [AND] disobedient [IMPLY] friendly [PERIOD]
sincere [AND] bored [AND] powerful [IMPLY] confident [PERIOD]
disobedient [AND] homely [IMPLY] joyous [PERIOD]
hypocritical [AND] disobedient [IMPLY] joyous [PERIOD]
troubled [AND] perfect [IMPLY] quaint [PERIOD]
joyous [IMPLY] perfect [PERIOD]
troubled [AND] joyous [AND] powerful [IMPLY] quaint [PERIOD]
confident [AND] friendly [IMPLY] joyous [PERIOD]
disobedient [AND] perfect [AND] bored [IMPLY] troubled [PERIOD]
friendly [IMPLY] perfect [PERIOD]
joyous [AND] friendly [IMPLY] hypocritical [PERIOD]
quaint [IMPLY] powerful [PERIOD]
troubled [AND] bored [IMPLY] quaint [PERIOD]
perfect [IMPLY] confident [PERIOD]
troubled [AND] attentive [AND] sincere [IMPLY] confident [PERIOD]
disobedient [AND] attentive [AND] quaint [IMPLY] confident [PERIOD]
disobedient [AND] friendly [AND] joyous [IMPLY] quaint [PERIOD]
homely [AND] troubled [IMPLY] sincere [PERIOD]
sincere [AND] quaint [AND] confident [IMPLY] hypocritical [PERIOD]
perfect [AND] joyous [IMPLY] disobedient [PERIOD]
hypocritical [AND] attentive [AND] joyous [IMPLY] homely [PERIOD]
disobedient [AND] attentive [AND] joyous [IMPLY] sincere [PERIOD]
troubled [IMPLY] powerful [PERIOD]
confident [IMPLY] attentive [PERIOD]
hypocritical [IMPLY] troubled [PERIOD]
disobedient [IMPLY] homely [PERIOD]
powerful [IMPLY] hypocritical [PERIOD]
confident [IMPLY] hypocritical [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   friendly ⇒ perfect
   friendly ⇒ perfect
   perfect ⇒ confident
   confident ∧ friendly ⇒ joyous
   perfect ∧ joyous ⇒ disobedient
",1,5
"Facts:  Alice is inexpensive [PERIOD] Alice is hilarious [PERIOD] Alice is plain [PERIOD] Alice is broad-minded [PERIOD] Alice is long [PERIOD] Alice is helpful [PERIOD]
Rules:
hilarious [AND] amused [IMPLY] broad-minded [PERIOD]
long [IMPLY] amused [PERIOD]
sleepy [IMPLY] long [PERIOD]
helpful [AND] inexpensive [IMPLY] plain [PERIOD]
broad-minded [AND] helpful [AND] amused [IMPLY] hilarious [PERIOD]
cruel [IMPLY] amused [PERIOD]
inexpensive [IMPLY] long [PERIOD]
long [AND] sleepy [IMPLY] cruel [PERIOD]
plain [AND] amused [IMPLY] long [PERIOD]
inexpensive [AND] hilarious [IMPLY] amused [PERIOD]
helpful [AND] sleepy [IMPLY] inexpensive [PERIOD]
long [AND] plain [IMPLY] helpful [PERIOD]
plain [AND] cruel [IMPLY] amused [PERIOD]
long [AND] sleepy [AND] amused [IMPLY] plain [PERIOD]
cruel [AND] broad-minded [AND] plain [IMPLY] sleepy [PERIOD]
amused [IMPLY] helpful [PERIOD]
amused [AND] sleepy [IMPLY] helpful [PERIOD]
helpful [AND] amused [IMPLY] cruel [PERIOD]
helpful [AND] amused [AND] sleepy [IMPLY] hilarious [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   inexpensive ∧ hilarious ⇒ amused
",1,1
"Facts:  Alice is broad-minded [PERIOD]
Rules:
excited [IMPLY] friendly [PERIOD]
fine [AND] ugly [IMPLY] loving [PERIOD]
wide-eyed [IMPLY] thoughtless [PERIOD]
loving [AND] friendly [AND] exuberant [IMPLY] inexpensive [PERIOD]
wide-eyed [AND] exuberant [IMPLY] charming [PERIOD]
loving [IMPLY] zealous [PERIOD]
friendly [IMPLY] zealous [PERIOD]
ugly [AND] rational [IMPLY] loving [PERIOD]
inquisitive [AND] rational [AND] exuberant [IMPLY] charming [PERIOD]
careless [AND] inquisitive [AND] loving [IMPLY] thoughtless [PERIOD]
glamorous [AND] inquisitive [IMPLY] careless [PERIOD]
mysterious [AND] rational [AND] thoughtless [IMPLY] glamorous [PERIOD]
zealous [AND] loving [IMPLY] straightforward [PERIOD]
inquisitive [AND] glamorous [AND] zealous [IMPLY] wide-eyed [PERIOD]
straightforward [AND] ugly [IMPLY] zealous [PERIOD]
glamorous [IMPLY] exuberant [PERIOD]
excited [AND] friendly [IMPLY] broad-minded [PERIOD]
loving [AND] zealous [AND] careless [IMPLY] glamorous [PERIOD]
inexpensive [IMPLY] zealous [PERIOD]
wide-eyed [AND] inexpensive [AND] mysterious [IMPLY] glamorous [PERIOD]
broad-minded [AND] thoughtless [AND] excited [IMPLY] charming [PERIOD]
thoughtless [IMPLY] careless [PERIOD]
wide-eyed [AND] exuberant [AND] excited [IMPLY] careless [PERIOD]
charming [AND] thoughtless [AND] exuberant [IMPLY] zealous [PERIOD]
mysterious [AND] excited [AND] spotless [IMPLY] straightforward [PERIOD]
thoughtless [AND] fine [IMPLY] glamorous [PERIOD]
inexpensive [IMPLY] broad-minded [PERIOD]
charming [AND] inexpensive [AND] mysterious [IMPLY] excited [PERIOD]
careless [AND] rational [IMPLY] exuberant [PERIOD]
mysterious [AND] exuberant [IMPLY] broad-minded [PERIOD]
careless [IMPLY] fine [PERIOD]
careless [AND] exuberant [IMPLY] loving [PERIOD]
fine [AND] friendly [IMPLY] ugly [PERIOD]
inexpensive [IMPLY] thoughtless [PERIOD]
friendly [AND] fine [IMPLY] inexpensive [PERIOD]
mysterious [IMPLY] rational [PERIOD]
mysterious [AND] fine [AND] charming [IMPLY] inquisitive [PERIOD]
thoughtless [AND] broad-minded [IMPLY] spotless [PERIOD]
glamorous [IMPLY] excited [PERIOD]
broad-minded [IMPLY] mysterious [PERIOD]
inquisitive [AND] thoughtless [AND] broad-minded [IMPLY] straightforward [PERIOD]
inquisitive [AND] careless [AND] zealous [IMPLY] ugly [PERIOD]
careless [AND] wide-eyed [IMPLY] loving [PERIOD]
fine [AND] spotless [IMPLY] wide-eyed [PERIOD]
fine [IMPLY] thoughtless [PERIOD]
spotless [AND] wide-eyed [AND] fine [IMPLY] broad-minded [PERIOD]
charming [AND] ugly [IMPLY] thoughtless [PERIOD]
excited [IMPLY] rational [PERIOD]
glamorous [IMPLY] charming [PERIOD]
glamorous [AND] loving [AND] thoughtless [IMPLY] friendly [PERIOD]
straightforward [IMPLY] wide-eyed [PERIOD]
glamorous [AND] inquisitive [IMPLY] charming [PERIOD]
inquisitive [IMPLY] mysterious [PERIOD]
mysterious [AND] inexpensive [IMPLY] excited [PERIOD]
inexpensive [IMPLY] fine [PERIOD]
thoughtless [AND] loving [IMPLY] mysterious [PERIOD]
inexpensive [AND] mysterious [AND] ugly [IMPLY] loving [PERIOD]
fine [AND] mysterious [IMPLY] thoughtless [PERIOD]
loving [AND] glamorous [IMPLY] careless [PERIOD]
rational [AND] thoughtless [AND] exuberant [IMPLY] broad-minded [PERIOD]
straightforward [AND] glamorous [IMPLY] exuberant [PERIOD]
careless [AND] zealous [IMPLY] spotless [PERIOD]
ugly [AND] careless [AND] friendly [IMPLY] fine [PERIOD]
inquisitive [AND] loving [IMPLY] broad-minded [PERIOD]
glamorous [AND] careless [AND] charming [IMPLY] thoughtless [PERIOD]
rational [AND] inquisitive [IMPLY] inexpensive [PERIOD]
straightforward [AND] rational [IMPLY] excited [PERIOD]
zealous [AND] straightforward [AND] charming [IMPLY] friendly [PERIOD]
charming [AND] excited [AND] fine [IMPLY] wide-eyed [PERIOD]
spotless [AND] straightforward [IMPLY] rational [PERIOD]
exuberant [IMPLY] charming [PERIOD]
exuberant [AND] fine [IMPLY] inquisitive [PERIOD]
spotless [AND] inexpensive [AND] straightforward [IMPLY] rational [PERIOD]
charming [IMPLY] exuberant [PERIOD]
straightforward [AND] loving [AND] zealous [IMPLY] careless [PERIOD]
straightforward [AND] inquisitive [AND] ugly [IMPLY] broad-minded [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   Cannot apply rule “careless ⇒ fine” because missing: careless.
   Cannot apply rule “inexpensive ⇒ fine” because missing: inexpensive.
   Cannot apply rule “ugly ∧ careless ∧ friendly ⇒ fine” because missing: ugly, careless, friendly.
",0,3
"Facts:  Alice is dull [PERIOD] Alice is selfish [PERIOD] Alice is curious [PERIOD] Alice is scared [PERIOD] Alice is shy [PERIOD]
Rules:
shy [AND] dull [AND] old-fashioned [IMPLY] gleaming [PERIOD]
scared [IMPLY] famous [PERIOD]
gleaming [AND] attractive [AND] fearless [IMPLY] distinct [PERIOD]
pleasant [AND] curious [AND] shy [IMPLY] scared [PERIOD]
distinct [AND] fearless [IMPLY] pleasant [PERIOD]
attractive [AND] fearless [AND] distinct [IMPLY] old-fashioned [PERIOD]
gleaming [AND] attractive [IMPLY] pleasant [PERIOD]
old-fashioned [IMPLY] talkative [PERIOD]
talkative [AND] pleasant [AND] fearless [IMPLY] distinct [PERIOD]
pleasant [IMPLY] distinct [PERIOD]
attractive [AND] mysterious [IMPLY] fearless [PERIOD]
attractive [IMPLY] shy [PERIOD]
famous [AND] fearless [IMPLY] polite [PERIOD]
scared [AND] old-fashioned [IMPLY] curious [PERIOD]
famous [AND] scared [IMPLY] mysterious [PERIOD]
old-fashioned [IMPLY] scared [PERIOD]
scared [AND] famous [IMPLY] dull [PERIOD]
old-fashioned [AND] scared [IMPLY] attractive [PERIOD]
selfish [AND] pleasant [IMPLY] scared [PERIOD]
famous [AND] fearless [IMPLY] shy [PERIOD]
dull [AND] talkative [AND] mysterious [IMPLY] curious [PERIOD]
famous [AND] curious [IMPLY] scared [PERIOD]
fearless [AND] gleaming [IMPLY] distinct [PERIOD]
pleasant [IMPLY] curious [PERIOD]
gleaming [IMPLY] polite [PERIOD]
distinct [AND] shy [AND] attractive [IMPLY] polite [PERIOD]
curious [AND] selfish [IMPLY] famous [PERIOD]
gleaming [AND] fearless [AND] mysterious [IMPLY] polite [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   scared ⇒ famous
   Cannot apply rule “famous ∧ fearless ⇒ polite” because missing: fearless.
   Cannot apply rule “gleaming ⇒ polite” because missing: gleaming.
   Cannot apply rule “distinct ∧ shy ∧ attractive ⇒ polite” because missing: distinct, attractive.
   scared ⇒ famous
   famous ∧ scared ⇒ mysterious
   Cannot apply rule “gleaming ∧ fearless ∧ mysterious ⇒ polite” because missing: gleaming, fearless.
",0,7
"Facts:  Alice is naughty [PERIOD] Alice is hilarious [PERIOD] Alice is modern [PERIOD] Alice is intellectual [PERIOD] Alice is amused [PERIOD]
Rules:
versatile [AND] cute [IMPLY] aggressive [PERIOD]
impatient [AND] crowded [IMPLY] gleaming [PERIOD]
glamorous [IMPLY] tense [PERIOD]
crowded [AND] amused [AND] mysterious [IMPLY] frail [PERIOD]
aggressive [AND] inexpensive [IMPLY] mysterious [PERIOD]
modern [AND] pleasant [AND] cute [IMPLY] gleaming [PERIOD]
zealous [AND] frail [IMPLY] mysterious [PERIOD]
tense [AND] gleaming [IMPLY] frail [PERIOD]
hilarious [AND] glamorous [AND] inexpensive [IMPLY] pleasant [PERIOD]
intellectual [AND] light [IMPLY] pleasant [PERIOD]
shiny [AND] impatient [AND] pleasant [IMPLY] ugliest [PERIOD]
frail [AND] pleasant [AND] zealous [IMPLY] aggressive [PERIOD]
gleaming [IMPLY] embarrassed [PERIOD]
tired [IMPLY] embarrassed [PERIOD]
inexpensive [AND] amused [IMPLY] cute [PERIOD]
cute [AND] zealous [AND] famous [IMPLY] versatile [PERIOD]
mysterious [AND] light [AND] impatient [IMPLY] tense [PERIOD]
shiny [IMPLY] ugliest [PERIOD]
mysterious [AND] famous [IMPLY] zealous [PERIOD]
cute [AND] frantic [AND] intellectual [IMPLY] frail [PERIOD]
glamorous [AND] wide-eyed [AND] amused [IMPLY] intellectual [PERIOD]
frantic [AND] glamorous [IMPLY] versatile [PERIOD]
intellectual [AND] hilarious [IMPLY] glamorous [PERIOD]
tense [IMPLY] cute [PERIOD]
tense [IMPLY] frail [PERIOD]
naughty [AND] tired [IMPLY] zealous [PERIOD]
famous [IMPLY] pleasant [PERIOD]
mysterious [IMPLY] cute [PERIOD]
mysterious [AND] crowded [IMPLY] inexpensive [PERIOD]
embarrassed [AND] glamorous [IMPLY] intellectual [PERIOD]
tense [IMPLY] shiny [PERIOD]
crowded [IMPLY] amused [PERIOD]
modern [AND] hilarious [IMPLY] wide-eyed [PERIOD]
famous [IMPLY] wide-eyed [PERIOD]
frail [IMPLY] aggressive [PERIOD]
frail [AND] tired [AND] ugliest [IMPLY] versatile [PERIOD]
modern [AND] shiny [AND] impatient [IMPLY] cute [PERIOD]
shiny [IMPLY] glamorous [PERIOD]
naughty [AND] pleasant [AND] shiny [IMPLY] frantic [PERIOD]
gleaming [AND] wide-eyed [AND] versatile [IMPLY] light [PERIOD]
zealous [AND] hilarious [IMPLY] inexpensive [PERIOD]
modern [AND] inexpensive [AND] light [IMPLY] tired [PERIOD]
naughty [AND] light [AND] ugliest [IMPLY] famous [PERIOD]
shiny [IMPLY] versatile [PERIOD]
naughty [AND] impatient [AND] ugliest [IMPLY] famous [PERIOD]
cute [IMPLY] modern [PERIOD]
tired [AND] inexpensive [AND] cute [IMPLY] amused [PERIOD]
amused [AND] hilarious [AND] frail [IMPLY] versatile [PERIOD]
cute [AND] glamorous [IMPLY] tired [PERIOD]
amused [AND] shiny [AND] famous [IMPLY] ugliest [PERIOD]
amused [AND] inexpensive [AND] crowded [IMPLY] ugliest [PERIOD]
tired [AND] hilarious [AND] tense [IMPLY] glamorous [PERIOD]
naughty [IMPLY] ugliest [PERIOD]
tense [AND] gleaming [AND] mysterious [IMPLY] naughty [PERIOD]
cute [IMPLY] gleaming [PERIOD]
frail [AND] zealous [IMPLY] light [PERIOD]
pleasant [IMPLY] glamorous [PERIOD]
embarrassed [IMPLY] shiny [PERIOD]
glamorous [IMPLY] frantic [PERIOD]
modern [AND] pleasant [AND] shiny [IMPLY] zealous [PERIOD]
tense [AND] modern [IMPLY] wide-eyed [PERIOD]
pleasant [AND] tense [IMPLY] frantic [PERIOD]
tired [AND] pleasant [IMPLY] gleaming [PERIOD]
Query: Alice is tired [PERIOD]","Proof chain:
   intellectual ∧ hilarious ⇒ glamorous
   glamorous ⇒ tense
   tense ⇒ cute
   intellectual ∧ hilarious ⇒ glamorous
   cute ∧ glamorous ⇒ tired
",1,5
"Facts:  Alice is attentive [PERIOD] Alice is precious [PERIOD] Alice is difficult [PERIOD] Alice is beautiful [PERIOD] Alice is tidy [PERIOD] Alice is plain [PERIOD]
Rules:
comfortable [IMPLY] tidy [PERIOD]
wrong [AND] comfortable [AND] tidy [IMPLY] cruel [PERIOD]
wrong [IMPLY] frantic [PERIOD]
foolish [IMPLY] thoughtless [PERIOD]
disgusted [AND] attentive [AND] wrong [IMPLY] beautiful [PERIOD]
difficult [IMPLY] troubled [PERIOD]
difficult [IMPLY] plain [PERIOD]
difficult [IMPLY] beautiful [PERIOD]
beautiful [AND] precious [IMPLY] troubled [PERIOD]
beautiful [AND] difficult [AND] disgusted [IMPLY] attentive [PERIOD]
plain [IMPLY] beautiful [PERIOD]
attentive [AND] wrong [IMPLY] precious [PERIOD]
plain [IMPLY] cruel [PERIOD]
tidy [AND] beautiful [IMPLY] comfortable [PERIOD]
difficult [AND] foolish [IMPLY] amused [PERIOD]
disgusted [IMPLY] attentive [PERIOD]
disgusted [IMPLY] beautiful [PERIOD]
cruel [IMPLY] comfortable [PERIOD]
troubled [AND] frantic [AND] precious [IMPLY] cruel [PERIOD]
wrong [AND] beautiful [AND] attentive [IMPLY] thoughtless [PERIOD]
amused [IMPLY] wrong [PERIOD]
comfortable [AND] tidy [AND] wrong [IMPLY] foolish [PERIOD]
disgusted [IMPLY] troubled [PERIOD]
beautiful [IMPLY] comfortable [PERIOD]
disgusted [IMPLY] frantic [PERIOD]
cruel [AND] wrong [AND] comfortable [IMPLY] plain [PERIOD]
tidy [AND] frantic [IMPLY] attentive [PERIOD]
disgusted [AND] thoughtless [IMPLY] difficult [PERIOD]
plain [AND] cruel [AND] precious [IMPLY] amused [PERIOD]
amused [AND] comfortable [IMPLY] attentive [PERIOD]
thoughtless [AND] frantic [IMPLY] plain [PERIOD]
difficult [AND] troubled [AND] wrong [IMPLY] disgusted [PERIOD]
wrong [AND] attentive [IMPLY] thoughtless [PERIOD]
disgusted [AND] frantic [AND] cruel [IMPLY] wrong [PERIOD]
foolish [AND] amused [IMPLY] cruel [PERIOD]
wrong [AND] amused [AND] beautiful [IMPLY] comfortable [PERIOD]
cruel [AND] comfortable [IMPLY] amused [PERIOD]
difficult [AND] thoughtless [AND] cruel [IMPLY] troubled [PERIOD]
Query: Alice is disgusted [PERIOD]","Proof chain:
   difficult ⇒ troubled
   plain ⇒ cruel
   plain ∧ cruel ∧ precious ⇒ amused
   amused ⇒ wrong
   difficult ∧ troubled ∧ wrong ⇒ disgusted
",1,5
"Facts: 
Rules:
unpleasant [AND] agreeable [AND] adorable [IMPLY] diplomatic [PERIOD]
quaint [AND] outrageous [AND] elegant [IMPLY] cute [PERIOD]
mysterious [AND] diplomatic [AND] troubled [IMPLY] gleaming [PERIOD]
gleaming [IMPLY] cute [PERIOD]
cute [AND] gleaming [AND] outrageous [IMPLY] agreeable [PERIOD]
adorable [AND] silly [AND] quaint [IMPLY] mysterious [PERIOD]
elegant [AND] outrageous [IMPLY] agreeable [PERIOD]
outrageous [AND] diplomatic [AND] elegant [IMPLY] cute [PERIOD]
attentive [AND] outrageous [AND] gleaming [IMPLY] unpleasant [PERIOD]
gleaming [IMPLY] adorable [PERIOD]
adorable [AND] troubled [IMPLY] elegant [PERIOD]
mysterious [AND] outrageous [IMPLY] adorable [PERIOD]
troubled [AND] unpleasant [AND] gleaming [IMPLY] diplomatic [PERIOD]
diplomatic [AND] gleaming [IMPLY] mysterious [PERIOD]
unpleasant [AND] elegant [IMPLY] adorable [PERIOD]
adorable [IMPLY] troubled [PERIOD]
gleaming [AND] quaint [AND] adorable [IMPLY] troubled [PERIOD]
mysterious [AND] attentive [IMPLY] elegant [PERIOD]
gleaming [AND] elegant [AND] troubled [IMPLY] unpleasant [PERIOD]
cute [AND] quaint [AND] troubled [IMPLY] adorable [PERIOD]
silly [IMPLY] adorable [PERIOD]
mysterious [AND] diplomatic [AND] troubled [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] agreeable [PERIOD]
gleaming [AND] attentive [AND] adorable [IMPLY] mysterious [PERIOD]
diplomatic [AND] agreeable [AND] mysterious [IMPLY] gleaming [PERIOD]
unpleasant [IMPLY] silly [PERIOD]
attentive [AND] unpleasant [IMPLY] troubled [PERIOD]
elegant [AND] diplomatic [IMPLY] attentive [PERIOD]
elegant [AND] mysterious [AND] silly [IMPLY] troubled [PERIOD]
cute [IMPLY] troubled [PERIOD]
silly [AND] quaint [AND] mysterious [IMPLY] diplomatic [PERIOD]
outrageous [IMPLY] elegant [PERIOD]
gleaming [AND] unpleasant [AND] silly [IMPLY] elegant [PERIOD]
agreeable [IMPLY] attentive [PERIOD]
gleaming [AND] silly [AND] diplomatic [IMPLY] troubled [PERIOD]
adorable [AND] gleaming [IMPLY] diplomatic [PERIOD]
unpleasant [AND] silly [IMPLY] elegant [PERIOD]
elegant [AND] agreeable [AND] silly [IMPLY] troubled [PERIOD]
quaint [AND] cute [AND] elegant [IMPLY] outrageous [PERIOD]
agreeable [AND] troubled [AND] cute [IMPLY] silly [PERIOD]
outrageous [AND] diplomatic [IMPLY] silly [PERIOD]
quaint [AND] diplomatic [IMPLY] outrageous [PERIOD]
quaint [AND] adorable [AND] outrageous [IMPLY] attentive [PERIOD]
agreeable [AND] cute [IMPLY] attentive [PERIOD]
adorable [IMPLY] silly [PERIOD]
outrageous [AND] adorable [IMPLY] silly [PERIOD]
diplomatic [AND] attentive [AND] agreeable [IMPLY] outrageous [PERIOD]
adorable [AND] agreeable [AND] attentive [IMPLY] unpleasant [PERIOD]
attentive [AND] gleaming [AND] agreeable [IMPLY] diplomatic [PERIOD]
cute [AND] adorable [AND] attentive [IMPLY] unpleasant [PERIOD]
silly [AND] attentive [AND] cute [IMPLY] troubled [PERIOD]
quaint [IMPLY] diplomatic [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   Cannot apply rule “adorable ∧ troubled ⇒ elegant” because missing: adorable, troubled.
   Cannot apply rule “mysterious ∧ attentive ⇒ elegant” because missing: mysterious, attentive.
   Cannot apply rule “outrageous ⇒ elegant” because missing: outrageous.
   Cannot apply rule “gleaming ∧ unpleasant ∧ silly ⇒ elegant” because missing: gleaming, unpleasant, silly.
   Cannot apply rule “unpleasant ∧ silly ⇒ elegant” because missing: unpleasant, silly.
",0,5
"Facts: 
Rules:
glamorous [IMPLY] wandering [PERIOD]
modern [IMPLY] glamorous [PERIOD]
bossy [AND] glamorous [AND] polite [IMPLY] proud [PERIOD]
wandering [AND] average [IMPLY] proud [PERIOD]
proud [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] average [PERIOD]
polite [AND] glamorous [AND] modern [IMPLY] bossy [PERIOD]
polite [AND] glamorous [AND] proud [IMPLY] wandering [PERIOD]
average [AND] glamorous [IMPLY] polite [PERIOD]
average [AND] polite [AND] bossy [IMPLY] proud [PERIOD]
modern [IMPLY] wandering [PERIOD]
proud [AND] glamorous [AND] average [IMPLY] polite [PERIOD]
average [IMPLY] bossy [PERIOD]
glamorous [AND] polite [AND] bossy [IMPLY] modern [PERIOD]
average [AND] modern [AND] glamorous [IMPLY] polite [PERIOD]
wandering [IMPLY] polite [PERIOD]
wandering [IMPLY] glamorous [PERIOD]
bossy [IMPLY] polite [PERIOD]
polite [IMPLY] average [PERIOD]
wandering [AND] proud [AND] average [IMPLY] modern [PERIOD]
average [IMPLY] proud [PERIOD]
glamorous [AND] wandering [IMPLY] polite [PERIOD]
wandering [IMPLY] proud [PERIOD]
proud [AND] modern [AND] bossy [IMPLY] average [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   Cannot apply rule “average ∧ glamorous ⇒ polite” because missing: average, glamorous.
   Cannot apply rule “proud ∧ glamorous ∧ average ⇒ polite” because missing: proud, glamorous, average.
   Cannot apply rule “average ∧ modern ∧ glamorous ⇒ polite” because missing: average, modern, glamorous.
   Cannot apply rule “wandering ⇒ polite” because missing: wandering.
   Cannot apply rule “bossy ⇒ polite” because missing: bossy.
   Cannot apply rule “glamorous ∧ wandering ⇒ polite” because missing: glamorous, wandering.
",0,6
"Facts:  Alice is blushing [PERIOD] Alice is smart [PERIOD] Alice is jittery [PERIOD] Alice is outstanding [PERIOD] Alice is worried [PERIOD] Alice is hypocritical [PERIOD] Alice is proud [PERIOD] Alice is tense [PERIOD] Alice is gorgeous [PERIOD] Alice is talented [PERIOD] Alice is dull [PERIOD]
Rules:
versatile [AND] smart [IMPLY] tired [PERIOD]
blushing [IMPLY] naughty [PERIOD]
tense [AND] foolish [AND] average [IMPLY] versatile [PERIOD]
dull [AND] vivacious [IMPLY] worried [PERIOD]
jittery [AND] frantic [IMPLY] outstanding [PERIOD]
jittery [IMPLY] proud [PERIOD]
tired [IMPLY] gifted [PERIOD]
polite [IMPLY] gifted [PERIOD]
tired [AND] polite [IMPLY] charming [PERIOD]
jittery [AND] elegant [AND] straightforward [IMPLY] charming [PERIOD]
charming [AND] foolish [IMPLY] tired [PERIOD]
jittery [AND] talented [IMPLY] gorgeous [PERIOD]
foolish [AND] versatile [IMPLY] naughty [PERIOD]
elegant [AND] dull [IMPLY] tense [PERIOD]
smart [IMPLY] versatile [PERIOD]
average [IMPLY] stubborn [PERIOD]
outstanding [IMPLY] foolish [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   outstanding ⇒ foolish
",1,1
"Facts:  Alice is uptight [PERIOD] Alice is difficult [PERIOD]
Rules:
strange [AND] comfortable [AND] pleasant [IMPLY] foolish [PERIOD]
precious [AND] elated [IMPLY] calm [PERIOD]
uptight [AND] elated [IMPLY] homely [PERIOD]
versatile [AND] straightforward [IMPLY] elated [PERIOD]
selfish [AND] cruel [AND] straightforward [IMPLY] elated [PERIOD]
homely [AND] precious [IMPLY] strange [PERIOD]
versatile [IMPLY] cruel [PERIOD]
precious [AND] homely [AND] comfortable [IMPLY] outstanding [PERIOD]
calm [AND] straightforward [AND] uptight [IMPLY] elated [PERIOD]
outstanding [AND] strange [AND] cruel [IMPLY] foolish [PERIOD]
difficult [AND] homely [IMPLY] outstanding [PERIOD]
selfish [AND] comfortable [IMPLY] homely [PERIOD]
pleasant [AND] difficult [AND] selfish [IMPLY] strange [PERIOD]
outstanding [AND] calm [AND] selfish [IMPLY] pleasant [PERIOD]
precious [AND] pleasant [IMPLY] elated [PERIOD]
strange [IMPLY] outstanding [PERIOD]
homely [AND] uptight [AND] calm [IMPLY] comfortable [PERIOD]
versatile [AND] selfish [AND] outstanding [IMPLY] cruel [PERIOD]
strange [AND] precious [AND] comfortable [IMPLY] calm [PERIOD]
precious [AND] outstanding [IMPLY] calm [PERIOD]
outstanding [AND] uptight [IMPLY] homely [PERIOD]
straightforward [IMPLY] precious [PERIOD]
difficult [AND] outstanding [IMPLY] versatile [PERIOD]
pleasant [IMPLY] versatile [PERIOD]
calm [AND] straightforward [AND] cruel [IMPLY] difficult [PERIOD]
pleasant [AND] comfortable [AND] straightforward [IMPLY] cruel [PERIOD]
straightforward [IMPLY] foolish [PERIOD]
difficult [AND] straightforward [IMPLY] elated [PERIOD]
precious [AND] selfish [IMPLY] straightforward [PERIOD]
precious [AND] selfish [AND] cruel [IMPLY] comfortable [PERIOD]
foolish [AND] outstanding [AND] versatile [IMPLY] comfortable [PERIOD]
uptight [AND] calm [IMPLY] strange [PERIOD]
straightforward [AND] elated [IMPLY] outstanding [PERIOD]
straightforward [AND] comfortable [AND] difficult [IMPLY] foolish [PERIOD]
straightforward [AND] comfortable [IMPLY] pleasant [PERIOD]
comfortable [AND] homely [IMPLY] outstanding [PERIOD]
calm [AND] comfortable [IMPLY] cruel [PERIOD]
strange [AND] elated [IMPLY] foolish [PERIOD]
comfortable [AND] pleasant [IMPLY] versatile [PERIOD]
precious [IMPLY] foolish [PERIOD]
cruel [AND] straightforward [AND] uptight [IMPLY] outstanding [PERIOD]
difficult [AND] precious [AND] straightforward [IMPLY] elated [PERIOD]
pleasant [IMPLY] uptight [PERIOD]
pleasant [AND] straightforward [AND] homely [IMPLY] foolish [PERIOD]
uptight [AND] precious [AND] foolish [IMPLY] elated [PERIOD]
foolish [AND] uptight [IMPLY] pleasant [PERIOD]
elated [AND] outstanding [AND] comfortable [IMPLY] calm [PERIOD]
homely [AND] comfortable [AND] uptight [IMPLY] strange [PERIOD]
versatile [IMPLY] calm [PERIOD]
comfortable [IMPLY] uptight [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   Cannot apply rule “versatile ∧ straightforward ⇒ elated” because missing: versatile, straightforward.
   Cannot apply rule “selfish ∧ cruel ∧ straightforward ⇒ elated” because missing: selfish, cruel, straightforward.
   Cannot apply rule “calm ∧ straightforward ∧ uptight ⇒ elated” because missing: calm, straightforward.
   Cannot apply rule “precious ∧ pleasant ⇒ elated” because missing: precious, pleasant.
   Cannot apply rule “difficult ∧ straightforward ⇒ elated” because missing: straightforward.
   Cannot apply rule “difficult ∧ precious ∧ straightforward ⇒ elated” because missing: precious, straightforward.
   Cannot apply rule “uptight ∧ precious ∧ foolish ⇒ elated” because missing: precious, foolish.
",0,7
"Facts:  Alice is fancy [PERIOD] Alice is adorable [PERIOD]
Rules:
excited [IMPLY] uptight [PERIOD]
scared [AND] excited [AND] elegant [IMPLY] courageous [PERIOD]
scared [AND] fancy [AND] elegant [IMPLY] fragile [PERIOD]
fancy [AND] scared [AND] fragile [IMPLY] elegant [PERIOD]
uptight [IMPLY] scared [PERIOD]
uptight [AND] fancy [AND] elegant [IMPLY] fragile [PERIOD]
scared [AND] fragile [AND] elegant [IMPLY] fancy [PERIOD]
adorable [AND] courageous [AND] elegant [IMPLY] uptight [PERIOD]
elegant [IMPLY] scared [PERIOD]
adorable [AND] excited [IMPLY] courageous [PERIOD]
courageous [IMPLY] excited [PERIOD]
fancy [IMPLY] adorable [PERIOD]
excited [AND] courageous [AND] fancy [IMPLY] uptight [PERIOD]
uptight [AND] scared [IMPLY] adorable [PERIOD]
scared [AND] excited [IMPLY] adorable [PERIOD]
uptight [IMPLY] courageous [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   Cannot apply rule “scared ∧ fancy ∧ elegant ⇒ fragile” because missing: scared, elegant.
   Cannot apply rule “uptight ∧ fancy ∧ elegant ⇒ fragile” because missing: uptight, elegant.
",0,2
"Facts:  Alice is hurt [PERIOD] Alice is helpful [PERIOD] Alice is vivacious [PERIOD] Alice is impartial [PERIOD] Alice is rational [PERIOD] Alice is witty [PERIOD] Alice is attentive [PERIOD] Alice is polite [PERIOD] Alice is muddy [PERIOD] Alice is gifted [PERIOD] Alice is serious [PERIOD] Alice is talkative [PERIOD] Alice is difficult [PERIOD] Alice is stubborn [PERIOD] Alice is fragile [PERIOD] Alice is tired [PERIOD] Alice is supportive [PERIOD] Alice is selfish [PERIOD]
Rules:
famous [IMPLY] difficult [PERIOD]
rational [AND] helpful [AND] worried [IMPLY] difficult [PERIOD]
selfish [AND] hurt [AND] talkative [IMPLY] stubborn [PERIOD]
selfish [AND] polite [IMPLY] attentive [PERIOD]
fragile [AND] selfish [IMPLY] muddy [PERIOD]
vivacious [AND] cute [IMPLY] bored [PERIOD]
famous [AND] frightened [AND] rational [IMPLY] polite [PERIOD]
helpful [AND] hurt [IMPLY] gifted [PERIOD]
difficult [IMPLY] dull [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   No rule concludes “troubled.”
",0,1
"Facts:  Alice is selfish [PERIOD] Alice is ugly [PERIOD]
Rules:
homely [AND] quaint [AND] attractive [IMPLY] lucky [PERIOD]
combative [IMPLY] lucky [PERIOD]
alert [IMPLY] attractive [PERIOD]
disobedient [IMPLY] exuberant [PERIOD]
alert [IMPLY] exuberant [PERIOD]
exuberant [AND] ugly [IMPLY] alert [PERIOD]
stubborn [IMPLY] attentive [PERIOD]
straightforward [AND] attractive [IMPLY] alert [PERIOD]
straightforward [IMPLY] ugly [PERIOD]
combative [AND] disobedient [AND] alert [IMPLY] attractive [PERIOD]
ugly [AND] combative [IMPLY] sensible [PERIOD]
combative [AND] exuberant [AND] quaint [IMPLY] alert [PERIOD]
attentive [AND] frightened [IMPLY] homely [PERIOD]
selfish [IMPLY] attentive [PERIOD]
homely [AND] lucky [IMPLY] sensible [PERIOD]
worried [AND] ugly [IMPLY] selfish [PERIOD]
combative [AND] homely [AND] frightened [IMPLY] worried [PERIOD]
sensible [IMPLY] selfish [PERIOD]
dishonest [AND] frantic [AND] straightforward [IMPLY] combative [PERIOD]
disobedient [AND] ugly [AND] stubborn [IMPLY] straightforward [PERIOD]
exuberant [IMPLY] homely [PERIOD]
muddy [IMPLY] alert [PERIOD]
homely [IMPLY] alert [PERIOD]
ugly [AND] sensible [IMPLY] alert [PERIOD]
combative [AND] straightforward [AND] homely [IMPLY] attractive [PERIOD]
exuberant [AND] frightened [AND] stubborn [IMPLY] lucky [PERIOD]
lucky [IMPLY] selfish [PERIOD]
exuberant [IMPLY] ugly [PERIOD]
attentive [AND] attractive [IMPLY] lucky [PERIOD]
quaint [IMPLY] selfish [PERIOD]
alert [AND] quaint [AND] lucky [IMPLY] ugly [PERIOD]
quaint [AND] disobedient [AND] sensible [IMPLY] frightened [PERIOD]
alert [AND] ugly [IMPLY] attractive [PERIOD]
disobedient [IMPLY] ugly [PERIOD]
homely [AND] exuberant [AND] disobedient [IMPLY] attentive [PERIOD]
straightforward [IMPLY] quaint [PERIOD]
quaint [IMPLY] frightened [PERIOD]
worried [AND] muddy [AND] ugly [IMPLY] stubborn [PERIOD]
lucky [AND] worried [AND] homely [IMPLY] selfish [PERIOD]
combative [AND] stubborn [IMPLY] attractive [PERIOD]
lucky [IMPLY] frightened [PERIOD]
lucky [AND] frantic [AND] straightforward [IMPLY] sensible [PERIOD]
homely [AND] combative [IMPLY] straightforward [PERIOD]
selfish [AND] straightforward [IMPLY] disobedient [PERIOD]
combative [AND] ugly [IMPLY] dishonest [PERIOD]
frightened [AND] sensible [AND] ugly [IMPLY] dishonest [PERIOD]
exuberant [AND] worried [IMPLY] lucky [PERIOD]
frightened [AND] dishonest [IMPLY] selfish [PERIOD]
worried [IMPLY] sensible [PERIOD]
disobedient [IMPLY] quaint [PERIOD]
disobedient [AND] lucky [AND] homely [IMPLY] worried [PERIOD]
attractive [IMPLY] exuberant [PERIOD]
disobedient [AND] exuberant [IMPLY] homely [PERIOD]
combative [AND] ugly [AND] worried [IMPLY] attentive [PERIOD]
homely [AND] dishonest [AND] sensible [IMPLY] frantic [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   Cannot apply rule “homely ∧ quaint ∧ attractive ⇒ lucky” because missing: homely, quaint, attractive.
   Cannot apply rule “combative ⇒ lucky” because missing: combative.
   Cannot apply rule “exuberant ∧ frightened ∧ stubborn ⇒ lucky” because missing: exuberant, frightened, stubborn.
   selfish ⇒ attentive
   Cannot apply rule “attentive ∧ attractive ⇒ lucky” because missing: attractive.
   Cannot apply rule “exuberant ∧ worried ⇒ lucky” because missing: exuberant, worried.
",0,6
"Facts:  Alice is victorious [PERIOD] Alice is alert [PERIOD] Alice is bossy [PERIOD] Alice is beautiful [PERIOD] Alice is excited [PERIOD] Alice is wandering [PERIOD] Alice is fancy [PERIOD] Alice is lonely [PERIOD] Alice is elegant [PERIOD]
Rules:
intellectual [AND] frightened [AND] stubborn [IMPLY] beautiful [PERIOD]
wandering [IMPLY] aggressive [PERIOD]
sleepy [AND] ugliest [IMPLY] stubborn [PERIOD]
ugliest [IMPLY] scared [PERIOD]
amused [AND] cute [IMPLY] disgusted [PERIOD]
tame [IMPLY] disgusted [PERIOD]
cute [IMPLY] loving [PERIOD]
frightened [IMPLY] beautiful [PERIOD]
bossy [IMPLY] tame [PERIOD]
sleepy [AND] combative [IMPLY] bossy [PERIOD]
alert [AND] beautiful [IMPLY] outstanding [PERIOD]
tame [IMPLY] scared [PERIOD]
outstanding [AND] naughty [AND] alert [IMPLY] combative [PERIOD]
alert [IMPLY] amused [PERIOD]
outstanding [IMPLY] good [PERIOD]
joyous [AND] wandering [AND] jittery [IMPLY] sleepy [PERIOD]
lonely [AND] frightened [IMPLY] outstanding [PERIOD]
victorious [AND] scared [AND] joyous [IMPLY] old-fashioned [PERIOD]
good [AND] wandering [AND] disgusted [IMPLY] combative [PERIOD]
intellectual [IMPLY] aggressive [PERIOD]
intellectual [AND] shiny [IMPLY] sleepy [PERIOD]
naughty [IMPLY] aggressive [PERIOD]
disgusted [AND] bossy [IMPLY] naughty [PERIOD]
jittery [IMPLY] aggressive [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   alert ∧ beautiful ⇒ outstanding
   outstanding ⇒ good
   bossy ⇒ tame
   tame ⇒ disgusted
   good ∧ wandering ∧ disgusted ⇒ combative
",1,5
"Facts: 
Rules:
easy [AND] wandering [AND] silly [IMPLY] tame [PERIOD]
straightforward [AND] tame [IMPLY] rational [PERIOD]
rational [AND] disobedient [IMPLY] gifted [PERIOD]
disobedient [AND] foolish [AND] quaint [IMPLY] beautiful [PERIOD]
disobedient [AND] foolish [IMPLY] tame [PERIOD]
smart [IMPLY] foolish [PERIOD]
talented [AND] naughty [AND] straightforward [IMPLY] gifted [PERIOD]
silly [IMPLY] disobedient [PERIOD]
talented [AND] silly [AND] pessimistic [IMPLY] quaint [PERIOD]
silly [AND] straightforward [IMPLY] disobedient [PERIOD]
wandering [AND] naughty [AND] quaint [IMPLY] easy [PERIOD]
disobedient [AND] rational [IMPLY] beautiful [PERIOD]
talented [IMPLY] gifted [PERIOD]
rational [AND] talented [IMPLY] easy [PERIOD]
wandering [IMPLY] easy [PERIOD]
smart [AND] disobedient [AND] naughty [IMPLY] quaint [PERIOD]
beautiful [AND] silly [IMPLY] smart [PERIOD]
wandering [AND] rational [IMPLY] disobedient [PERIOD]
rational [IMPLY] naughty [PERIOD]
pessimistic [IMPLY] beautiful [PERIOD]
easy [AND] gifted [AND] wandering [IMPLY] beautiful [PERIOD]
talented [AND] pessimistic [AND] rational [IMPLY] straightforward [PERIOD]
tame [AND] gifted [IMPLY] quaint [PERIOD]
silly [AND] disobedient [IMPLY] gifted [PERIOD]
wandering [AND] talented [AND] beautiful [IMPLY] smart [PERIOD]
smart [AND] naughty [AND] talented [IMPLY] quaint [PERIOD]
quaint [AND] wandering [AND] silly [IMPLY] beautiful [PERIOD]
easy [AND] foolish [IMPLY] quaint [PERIOD]
easy [AND] tame [IMPLY] naughty [PERIOD]
tame [AND] easy [IMPLY] rational [PERIOD]
easy [AND] tame [IMPLY] gifted [PERIOD]
rational [AND] gifted [AND] pessimistic [IMPLY] silly [PERIOD]
naughty [AND] beautiful [AND] talented [IMPLY] pessimistic [PERIOD]
easy [IMPLY] talented [PERIOD]
wandering [AND] quaint [IMPLY] beautiful [PERIOD]
quaint [AND] talented [AND] silly [IMPLY] gifted [PERIOD]
wandering [IMPLY] straightforward [PERIOD]
talented [AND] pessimistic [IMPLY] foolish [PERIOD]
gifted [AND] quaint [IMPLY] straightforward [PERIOD]
wandering [AND] easy [AND] beautiful [IMPLY] quaint [PERIOD]
rational [AND] foolish [AND] gifted [IMPLY] quaint [PERIOD]
pessimistic [AND] beautiful [IMPLY] foolish [PERIOD]
pessimistic [IMPLY] gifted [PERIOD]
wandering [AND] naughty [IMPLY] gifted [PERIOD]
quaint [AND] tame [IMPLY] foolish [PERIOD]
smart [AND] gifted [AND] talented [IMPLY] wandering [PERIOD]
beautiful [AND] disobedient [IMPLY] pessimistic [PERIOD]
beautiful [IMPLY] wandering [PERIOD]
pessimistic [AND] beautiful [IMPLY] easy [PERIOD]
gifted [AND] foolish [AND] quaint [IMPLY] easy [PERIOD]
quaint [AND] wandering [IMPLY] talented [PERIOD]
silly [AND] wandering [AND] quaint [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] talented [PERIOD]
wandering [AND] foolish [AND] smart [IMPLY] talented [PERIOD]
rational [AND] gifted [AND] quaint [IMPLY] foolish [PERIOD]
foolish [AND] smart [IMPLY] pessimistic [PERIOD]
foolish [AND] pessimistic [IMPLY] naughty [PERIOD]
gifted [IMPLY] smart [PERIOD]
disobedient [IMPLY] smart [PERIOD]
smart [IMPLY] tame [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
   Cannot apply rule “easy ⇒ talented” because missing: easy.
   Cannot apply rule “quaint ∧ wandering ⇒ talented” because missing: quaint, wandering.
   Cannot apply rule “disobedient ⇒ talented” because missing: disobedient.
   Cannot apply rule “wandering ∧ foolish ∧ smart ⇒ talented” because missing: wandering, foolish, smart.
",0,4
"Facts:  Alice is sleepy [PERIOD] Alice is weary [PERIOD] Alice is jittery [PERIOD] Alice is attractive [PERIOD]
Rules:
rational [IMPLY] blushing [PERIOD]
cooperative [AND] stupid [AND] victorious [IMPLY] nervous [PERIOD]
average [AND] diplomatic [AND] nervous [IMPLY] crowded [PERIOD]
nervous [AND] cruel [AND] weary [IMPLY] stupid [PERIOD]
clumsy [IMPLY] cooperative [PERIOD]
hurt [AND] stupid [IMPLY] attractive [PERIOD]
rational [AND] weary [AND] stupid [IMPLY] clumsy [PERIOD]
blushing [AND] cruel [IMPLY] weary [PERIOD]
stupid [AND] innocent [IMPLY] hurt [PERIOD]
stupid [AND] cruel [AND] popular [IMPLY] rational [PERIOD]
silly [IMPLY] clumsy [PERIOD]
stupid [AND] attractive [AND] disobedient [IMPLY] popular [PERIOD]
rational [IMPLY] disobedient [PERIOD]
sleepy [AND] stupid [AND] popular [IMPLY] careless [PERIOD]
rational [AND] jittery [AND] diplomatic [IMPLY] innocent [PERIOD]
disobedient [AND] weary [AND] popular [IMPLY] cruel [PERIOD]
blushing [AND] hurt [IMPLY] cooperative [PERIOD]
stupid [AND] silly [AND] weary [IMPLY] jittery [PERIOD]
rational [AND] diplomatic [AND] straightforward [IMPLY] cruel [PERIOD]
stupid [AND] hurt [AND] weary [IMPLY] fearless [PERIOD]
hurt [AND] rational [AND] jittery [IMPLY] clumsy [PERIOD]
blushing [AND] weary [AND] victorious [IMPLY] clumsy [PERIOD]
crowded [AND] stupid [AND] attractive [IMPLY] sleepy [PERIOD]
stupid [AND] hurt [AND] average [IMPLY] jittery [PERIOD]
fearless [IMPLY] clumsy [PERIOD]
sleepy [AND] nervous [IMPLY] jittery [PERIOD]
fearless [AND] stupid [IMPLY] straightforward [PERIOD]
straightforward [AND] stupid [AND] clumsy [IMPLY] diplomatic [PERIOD]
weary [IMPLY] average [PERIOD]
sleepy [AND] popular [IMPLY] diplomatic [PERIOD]
cruel [AND] crowded [IMPLY] sleepy [PERIOD]
attractive [AND] average [IMPLY] fearless [PERIOD]
victorious [AND] clumsy [AND] crowded [IMPLY] popular [PERIOD]
victorious [AND] jittery [AND] rational [IMPLY] cooperative [PERIOD]
clumsy [IMPLY] cruel [PERIOD]
rational [AND] hurt [IMPLY] cooperative [PERIOD]
silly [AND] crowded [IMPLY] fearless [PERIOD]
fearless [IMPLY] victorious [PERIOD]
cruel [IMPLY] attractive [PERIOD]
careless [AND] nervous [AND] blushing [IMPLY] straightforward [PERIOD]
cruel [IMPLY] fearless [PERIOD]
silly [AND] fearless [IMPLY] straightforward [PERIOD]
average [IMPLY] diplomatic [PERIOD]
hurt [AND] average [IMPLY] clumsy [PERIOD]
diplomatic [AND] nervous [IMPLY] clumsy [PERIOD]
victorious [AND] crowded [AND] blushing [IMPLY] straightforward [PERIOD]
cooperative [IMPLY] diplomatic [PERIOD]
crowded [AND] blushing [AND] attractive [IMPLY] cruel [PERIOD]
sleepy [AND] stupid [IMPLY] blushing [PERIOD]
careless [AND] diplomatic [AND] nervous [IMPLY] jittery [PERIOD]
crowded [AND] hurt [AND] sleepy [IMPLY] innocent [PERIOD]
rational [AND] victorious [IMPLY] cruel [PERIOD]
nervous [AND] crowded [IMPLY] cruel [PERIOD]
clumsy [AND] hurt [IMPLY] stupid [PERIOD]
disobedient [AND] weary [AND] sleepy [IMPLY] average [PERIOD]
silly [AND] attractive [AND] sleepy [IMPLY] cooperative [PERIOD]
fearless [AND] innocent [IMPLY] crowded [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   weary ⇒ average
   attractive ∧ average ⇒ fearless
   fearless ⇒ victorious
",1,3
"Facts:  Alice is stubborn [PERIOD] Alice is helpless [PERIOD]
Rules:
muddy [AND] rude [IMPLY] talkative [PERIOD]
adorable [AND] rude [AND] excited [IMPLY] exuberant [PERIOD]
mysterious [IMPLY] good [PERIOD]
mysterious [IMPLY] fearless [PERIOD]
crowded [AND] tidy [AND] good [IMPLY] fearless [PERIOD]
elegant [AND] enchanting [AND] exuberant [IMPLY] intellectual [PERIOD]
embarrassed [AND] rude [AND] talkative [IMPLY] bright [PERIOD]
amused [AND] disobedient [IMPLY] muddy [PERIOD]
muddy [AND] stubborn [AND] helpless [IMPLY] rude [PERIOD]
embarrassed [AND] amused [AND] precious [IMPLY] rude [PERIOD]
rude [IMPLY] excited [PERIOD]
hypocritical [AND] muddy [IMPLY] precious [PERIOD]
bored [AND] glamorous [AND] fancy [IMPLY] crowded [PERIOD]
excited [AND] precious [AND] bright [IMPLY] tidy [PERIOD]
excited [AND] muddy [AND] hypocritical [IMPLY] exuberant [PERIOD]
unpleasant [AND] precious [IMPLY] stubborn [PERIOD]
inexpensive [AND] ugly [AND] helpless [IMPLY] elegant [PERIOD]
hypocritical [AND] disobedient [IMPLY] embarrassed [PERIOD]
bright [IMPLY] rude [PERIOD]
elegant [AND] enchanting [IMPLY] fancy [PERIOD]
perfect [AND] excited [AND] mysterious [IMPLY] enchanting [PERIOD]
helpless [IMPLY] fearless [PERIOD]
pessimistic [IMPLY] intellectual [PERIOD]
good [IMPLY] rude [PERIOD]
excited [AND] helpless [AND] mysterious [IMPLY] fancy [PERIOD]
pessimistic [AND] elegant [IMPLY] precious [PERIOD]
elegant [AND] perfect [AND] adorable [IMPLY] bright [PERIOD]
ugly [IMPLY] bored [PERIOD]
amused [AND] tidy [IMPLY] fearless [PERIOD]
tidy [AND] precious [IMPLY] inexpensive [PERIOD]
pessimistic [AND] bright [AND] unpleasant [IMPLY] exuberant [PERIOD]
pessimistic [IMPLY] helpless [PERIOD]
mysterious [AND] tidy [AND] amused [IMPLY] unpleasant [PERIOD]
good [AND] elegant [IMPLY] disobedient [PERIOD]
unpleasant [AND] glamorous [IMPLY] enchanting [PERIOD]
inexpensive [AND] adorable [AND] exuberant [IMPLY] bright [PERIOD]
embarrassed [AND] pessimistic [AND] stubborn [IMPLY] fearless [PERIOD]
exuberant [AND] ugly [IMPLY] adorable [PERIOD]
pessimistic [AND] ugly [IMPLY] fancy [PERIOD]
enchanting [AND] bright [IMPLY] rude [PERIOD]
hypocritical [AND] exuberant [AND] disobedient [IMPLY] glamorous [PERIOD]
hypocritical [AND] mysterious [AND] perfect [IMPLY] glamorous [PERIOD]
stubborn [AND] disobedient [IMPLY] elegant [PERIOD]
fancy [IMPLY] elegant [PERIOD]
intellectual [AND] hypocritical [IMPLY] ugly [PERIOD]
adorable [AND] ugly [IMPLY] helpless [PERIOD]
embarrassed [IMPLY] precious [PERIOD]
bright [IMPLY] exuberant [PERIOD]
talkative [AND] mysterious [IMPLY] bored [PERIOD]
muddy [IMPLY] helpless [PERIOD]
amused [AND] tidy [IMPLY] excited [PERIOD]
hypocritical [AND] crowded [IMPLY] embarrassed [PERIOD]
inexpensive [AND] excited [AND] elegant [IMPLY] stubborn [PERIOD]
enchanting [AND] intellectual [IMPLY] talkative [PERIOD]
bored [IMPLY] disobedient [PERIOD]
embarrassed [AND] unpleasant [AND] rude [IMPLY] bored [PERIOD]
amused [IMPLY] ugly [PERIOD]
unpleasant [IMPLY] rude [PERIOD]
intellectual [AND] excited [IMPLY] talkative [PERIOD]
ugly [IMPLY] mysterious [PERIOD]
inexpensive [AND] glamorous [AND] precious [IMPLY] enchanting [PERIOD]
bright [AND] disobedient [AND] adorable [IMPLY] glamorous [PERIOD]
disobedient [AND] helpless [IMPLY] bored [PERIOD]
fearless [IMPLY] glamorous [PERIOD]
talkative [AND] excited [AND] glamorous [IMPLY] disobedient [PERIOD]
stubborn [IMPLY] hypocritical [PERIOD]
talkative [IMPLY] unpleasant [PERIOD]
amused [AND] stubborn [IMPLY] mysterious [PERIOD]
good [AND] pessimistic [AND] muddy [IMPLY] exuberant [PERIOD]
muddy [AND] amused [AND] stubborn [IMPLY] disobedient [PERIOD]
bored [IMPLY] pessimistic [PERIOD]
fearless [AND] muddy [IMPLY] ugly [PERIOD]
muddy [AND] crowded [IMPLY] unpleasant [PERIOD]
stubborn [IMPLY] glamorous [PERIOD]
unpleasant [IMPLY] hypocritical [PERIOD]
intellectual [AND] bored [AND] adorable [IMPLY] elegant [PERIOD]
crowded [AND] bright [IMPLY] tidy [PERIOD]
precious [IMPLY] fearless [PERIOD]
inexpensive [AND] glamorous [IMPLY] amused [PERIOD]
glamorous [AND] good [IMPLY] fancy [PERIOD]
precious [AND] talkative [AND] pessimistic [IMPLY] perfect [PERIOD]
muddy [IMPLY] precious [PERIOD]
good [AND] embarrassed [AND] precious [IMPLY] adorable [PERIOD]
helpless [AND] embarrassed [AND] excited [IMPLY] fearless [PERIOD]
elegant [IMPLY] fearless [PERIOD]
exuberant [IMPLY] good [PERIOD]
embarrassed [AND] talkative [IMPLY] inexpensive [PERIOD]
bored [IMPLY] talkative [PERIOD]
muddy [AND] unpleasant [AND] exuberant [IMPLY] enchanting [PERIOD]
embarrassed [AND] unpleasant [IMPLY] adorable [PERIOD]
unpleasant [AND] crowded [AND] mysterious [IMPLY] elegant [PERIOD]
mysterious [AND] elegant [AND] enchanting [IMPLY] amused [PERIOD]
crowded [AND] stubborn [AND] mysterious [IMPLY] embarrassed [PERIOD]
perfect [AND] bright [IMPLY] elegant [PERIOD]
adorable [IMPLY] bored [PERIOD]
elegant [IMPLY] adorable [PERIOD]
glamorous [IMPLY] rude [PERIOD]
intellectual [IMPLY] exuberant [PERIOD]
unpleasant [IMPLY] embarrassed [PERIOD]
elegant [AND] good [AND] talkative [IMPLY] hypocritical [PERIOD]
intellectual [AND] fearless [IMPLY] good [PERIOD]
embarrassed [AND] elegant [AND] bored [IMPLY] adorable [PERIOD]
good [AND] amused [AND] excited [IMPLY] perfect [PERIOD]
talkative [AND] unpleasant [IMPLY] muddy [PERIOD]
mysterious [AND] exuberant [IMPLY] ugly [PERIOD]
excited [AND] bored [IMPLY] enchanting [PERIOD]
excited [AND] amused [AND] bored [IMPLY] helpless [PERIOD]
inexpensive [IMPLY] ugly [PERIOD]
helpless [AND] talkative [IMPLY] good [PERIOD]
exuberant [AND] muddy [IMPLY] stubborn [PERIOD]
inexpensive [IMPLY] muddy [PERIOD]
fearless [IMPLY] perfect [PERIOD]
fancy [AND] rude [AND] intellectual [IMPLY] stubborn [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   stubborn ⇒ hypocritical
   Cannot apply rule “intellectual ∧ hypocritical ⇒ ugly” because missing: intellectual.
   Cannot apply rule “amused ⇒ ugly” because missing: amused.
   helpless ⇒ fearless
   Cannot apply rule “fearless ∧ muddy ⇒ ugly” because missing: muddy.
   Cannot apply rule “mysterious ∧ exuberant ⇒ ugly” because missing: mysterious, exuberant.
   Cannot apply rule “inexpensive ⇒ ugly” because missing: inexpensive.
",0,7
"Facts:  Alice is disobedient [PERIOD] Alice is glamorous [PERIOD] Alice is cruel [PERIOD] Alice is disgusted [PERIOD] Alice is fancy [PERIOD]
Rules:
stubborn [IMPLY] bossy [PERIOD]
shy [AND] fancy [AND] agreeable [IMPLY] stubborn [PERIOD]
alert [IMPLY] helpless [PERIOD]
glamorous [AND] shy [IMPLY] intellectual [PERIOD]
shiny [AND] mysterious [AND] friendly [IMPLY] vivacious [PERIOD]
attractive [AND] friendly [AND] sincere [IMPLY] agreeable [PERIOD]
intellectual [AND] muddy [AND] friendly [IMPLY] agreeable [PERIOD]
mysterious [IMPLY] friendly [PERIOD]
beautiful [AND] vivacious [AND] sincere [IMPLY] foolish [PERIOD]
shiny [AND] foolish [AND] cruel [IMPLY] embarrassed [PERIOD]
mysterious [AND] shiny [AND] tame [IMPLY] glamorous [PERIOD]
tame [IMPLY] glamorous [PERIOD]
helpless [AND] pessimistic [AND] wide-eyed [IMPLY] attentive [PERIOD]
alert [AND] different [AND] calm [IMPLY] sincere [PERIOD]
mysterious [AND] tame [IMPLY] shiny [PERIOD]
fancy [AND] attentive [IMPLY] agreeable [PERIOD]
pessimistic [AND] beautiful [AND] attractive [IMPLY] calm [PERIOD]
attentive [IMPLY] cruel [PERIOD]
intellectual [AND] helpless [AND] shy [IMPLY] mysterious [PERIOD]
attractive [AND] cruel [IMPLY] reserved [PERIOD]
attractive [IMPLY] attentive [PERIOD]
intellectual [IMPLY] agreeable [PERIOD]
mysterious [AND] vivacious [IMPLY] stubborn [PERIOD]
beautiful [IMPLY] intellectual [PERIOD]
mysterious [AND] attentive [IMPLY] shiny [PERIOD]
beautiful [AND] sincere [AND] embarrassed [IMPLY] disgusted [PERIOD]
bossy [AND] vivacious [IMPLY] sincere [PERIOD]
calm [AND] confused [IMPLY] agreeable [PERIOD]
different [AND] mysterious [IMPLY] friendly [PERIOD]
pessimistic [IMPLY] alert [PERIOD]
different [IMPLY] helpless [PERIOD]
cruel [AND] stubborn [IMPLY] intellectual [PERIOD]
vivacious [AND] foolish [IMPLY] disobedient [PERIOD]
shy [AND] calm [AND] friendly [IMPLY] different [PERIOD]
embarrassed [AND] helpless [IMPLY] shy [PERIOD]
disobedient [AND] stubborn [IMPLY] friendly [PERIOD]
pessimistic [AND] glamorous [AND] shiny [IMPLY] attentive [PERIOD]
stubborn [AND] helpless [AND] confused [IMPLY] tame [PERIOD]
beautiful [AND] calm [AND] different [IMPLY] reserved [PERIOD]
different [AND] calm [IMPLY] bossy [PERIOD]
glamorous [AND] tame [AND] reserved [IMPLY] sincere [PERIOD]
beautiful [AND] stubborn [AND] attentive [IMPLY] different [PERIOD]
sincere [AND] wide-eyed [IMPLY] intellectual [PERIOD]
alert [AND] muddy [AND] tame [IMPLY] fancy [PERIOD]
attentive [AND] different [AND] glamorous [IMPLY] attractive [PERIOD]
bossy [IMPLY] fancy [PERIOD]
agreeable [AND] alert [AND] attentive [IMPLY] fancy [PERIOD]
beautiful [IMPLY] disobedient [PERIOD]
agreeable [AND] attentive [AND] shiny [IMPLY] beautiful [PERIOD]
different [IMPLY] confused [PERIOD]
alert [AND] calm [AND] sincere [IMPLY] reserved [PERIOD]
different [IMPLY] beautiful [PERIOD]
different [AND] friendly [IMPLY] bossy [PERIOD]
wide-eyed [AND] stubborn [AND] pessimistic [IMPLY] shiny [PERIOD]
glamorous [IMPLY] wide-eyed [PERIOD]
sincere [IMPLY] calm [PERIOD]
foolish [AND] pessimistic [AND] intellectual [IMPLY] confused [PERIOD]
confused [IMPLY] pessimistic [PERIOD]
attractive [AND] shiny [AND] alert [IMPLY] friendly [PERIOD]
reserved [AND] vivacious [IMPLY] pessimistic [PERIOD]
agreeable [AND] attentive [AND] cruel [IMPLY] pessimistic [PERIOD]
reserved [AND] shy [IMPLY] pessimistic [PERIOD]
attentive [IMPLY] beautiful [PERIOD]
confused [IMPLY] disobedient [PERIOD]
muddy [AND] shiny [AND] agreeable [IMPLY] mysterious [PERIOD]
attentive [AND] foolish [IMPLY] confused [PERIOD]
wide-eyed [IMPLY] confused [PERIOD]
attractive [AND] attentive [AND] foolish [IMPLY] disgusted [PERIOD]
disgusted [AND] alert [AND] muddy [IMPLY] sincere [PERIOD]
embarrassed [AND] alert [IMPLY] vivacious [PERIOD]
alert [IMPLY] beautiful [PERIOD]
disgusted [AND] beautiful [AND] tame [IMPLY] muddy [PERIOD]
attractive [IMPLY] foolish [PERIOD]
different [IMPLY] shy [PERIOD]
glamorous [AND] stubborn [IMPLY] disobedient [PERIOD]
friendly [IMPLY] muddy [PERIOD]
disgusted [IMPLY] bossy [PERIOD]
attractive [AND] intellectual [AND] helpless [IMPLY] mysterious [PERIOD]
foolish [IMPLY] shiny [PERIOD]
cruel [AND] agreeable [IMPLY] intellectual [PERIOD]
alert [AND] disobedient [AND] shiny [IMPLY] attentive [PERIOD]
stubborn [AND] cruel [IMPLY] muddy [PERIOD]
agreeable [AND] confused [AND] shiny [IMPLY] friendly [PERIOD]
vivacious [AND] disgusted [IMPLY] embarrassed [PERIOD]
shiny [IMPLY] confused [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   glamorous ⇒ wide-eyed
   wide-eyed ⇒ confused
   confused ⇒ pessimistic
   pessimistic ⇒ alert
   alert ⇒ helpless
   Cannot apply rule “embarrassed ∧ helpless ⇒ shy” because missing: embarrassed.
   Cannot apply rule “different ⇒ shy” because missing: different.
",0,7
"Facts:  Alice is loving [PERIOD] Alice is sincere [PERIOD] Alice is impatient [PERIOD] Alice is tired [PERIOD]
Rules:
tired [AND] sincere [IMPLY] scared [PERIOD]
innocent [IMPLY] sincere [PERIOD]
tired [AND] loving [IMPLY] sincere [PERIOD]
cute [AND] tired [IMPLY] loving [PERIOD]
innocent [AND] scared [IMPLY] cute [PERIOD]
cute [AND] impatient [AND] loving [IMPLY] innocent [PERIOD]
loving [IMPLY] sincere [PERIOD]
tidy [IMPLY] impatient [PERIOD]
scared [AND] tidy [AND] cute [IMPLY] tired [PERIOD]
tidy [AND] innocent [AND] sincere [IMPLY] scared [PERIOD]
tired [AND] impatient [AND] loving [IMPLY] cute [PERIOD]
loving [IMPLY] tired [PERIOD]
Query: Alice is tired [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is vivacious [PERIOD] Alice is inquisitive [PERIOD] Alice is hilarious [PERIOD] Alice is versatile [PERIOD] Alice is uptight [PERIOD] Alice is easy [PERIOD]
Rules:
stubborn [AND] hilarious [IMPLY] jittery [PERIOD]
outrageous [AND] cruel [IMPLY] frantic [PERIOD]
quaint [IMPLY] easy [PERIOD]
uptight [AND] stubborn [IMPLY] different [PERIOD]
cruel [AND] versatile [IMPLY] outrageous [PERIOD]
sleepy [IMPLY] easy [PERIOD]
inquisitive [AND] easy [IMPLY] uptight [PERIOD]
frantic [AND] outstanding [AND] hilarious [IMPLY] vivacious [PERIOD]
easy [IMPLY] vivacious [PERIOD]
outstanding [AND] outrageous [IMPLY] different [PERIOD]
vivacious [AND] outstanding [AND] cruel [IMPLY] stubborn [PERIOD]
quaint [AND] versatile [IMPLY] average [PERIOD]
inquisitive [IMPLY] vivacious [PERIOD]
cruel [AND] frantic [AND] easy [IMPLY] inquisitive [PERIOD]
frantic [IMPLY] sleepy [PERIOD]
frantic [AND] stubborn [AND] easy [IMPLY] inquisitive [PERIOD]
sleepy [IMPLY] outrageous [PERIOD]
average [AND] jittery [AND] versatile [IMPLY] vivacious [PERIOD]
inquisitive [AND] uptight [IMPLY] stubborn [PERIOD]
hilarious [AND] outstanding [AND] jittery [IMPLY] inquisitive [PERIOD]
inquisitive [AND] sleepy [AND] versatile [IMPLY] quaint [PERIOD]
versatile [IMPLY] inquisitive [PERIOD]
versatile [AND] jittery [IMPLY] uptight [PERIOD]
quaint [AND] versatile [AND] frantic [IMPLY] sleepy [PERIOD]
jittery [IMPLY] outstanding [PERIOD]
easy [IMPLY] stubborn [PERIOD]
uptight [AND] stubborn [IMPLY] quaint [PERIOD]
inquisitive [IMPLY] average [PERIOD]
average [IMPLY] uptight [PERIOD]
different [AND] outstanding [AND] uptight [IMPLY] jittery [PERIOD]
hilarious [AND] inquisitive [AND] stubborn [IMPLY] versatile [PERIOD]
average [AND] cruel [IMPLY] outrageous [PERIOD]
vivacious [AND] hilarious [AND] easy [IMPLY] stubborn [PERIOD]
jittery [AND] outstanding [AND] frantic [IMPLY] uptight [PERIOD]
stubborn [AND] outrageous [IMPLY] average [PERIOD]
stubborn [IMPLY] easy [PERIOD]
Query: Alice is outrageous [PERIOD]","Proof chain:
   Cannot apply rule “cruel ∧ versatile ⇒ outrageous” because missing: cruel.
   Cannot apply rule “sleepy ⇒ outrageous” because missing: sleepy.
   inquisitive ⇒ average
   Cannot apply rule “average ∧ cruel ⇒ outrageous” because missing: cruel.
",0,4
"Facts: 
Rules:
stormy [AND] troubled [IMPLY] bossy [PERIOD]
popular [IMPLY] worried [PERIOD]
straightforward [AND] stormy [AND] outrageous [IMPLY] inquisitive [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   No rule concludes “serious.”
",0,1
"Facts:  Alice is talkative [PERIOD] Alice is alert [PERIOD]
Rules:
homely [AND] spotless [AND] talented [IMPLY] messy [PERIOD]
tame [IMPLY] fearless [PERIOD]
foolish [AND] homely [IMPLY] disobedient [PERIOD]
cute [AND] stubborn [IMPLY] spotless [PERIOD]
jittery [IMPLY] worried [PERIOD]
gorgeous [AND] light [AND] foolish [IMPLY] tame [PERIOD]
stubborn [AND] cruel [IMPLY] loving [PERIOD]
disobedient [AND] jittery [IMPLY] fearless [PERIOD]
tame [IMPLY] light [PERIOD]
alert [AND] foolish [IMPLY] mean [PERIOD]
naughty [AND] stubborn [AND] jittery [IMPLY] fearless [PERIOD]
cruel [IMPLY] gorgeous [PERIOD]
light [AND] jittery [IMPLY] cruel [PERIOD]
helpless [AND] gorgeous [IMPLY] wide-eyed [PERIOD]
messy [IMPLY] light [PERIOD]
cruel [AND] courageous [AND] worried [IMPLY] fearless [PERIOD]
tame [IMPLY] helpless [PERIOD]
wide-eyed [AND] worried [IMPLY] loving [PERIOD]
cute [IMPLY] gorgeous [PERIOD]
courageous [AND] homely [AND] messy [IMPLY] wide-eyed [PERIOD]
jittery [IMPLY] cruel [PERIOD]
cute [AND] messy [IMPLY] foolish [PERIOD]
stubborn [IMPLY] talented [PERIOD]
gorgeous [AND] naughty [AND] fearless [IMPLY] loving [PERIOD]
talented [AND] tame [IMPLY] cute [PERIOD]
naughty [AND] tame [IMPLY] foolish [PERIOD]
tame [AND] light [IMPLY] spotless [PERIOD]
fearless [AND] worried [IMPLY] helpless [PERIOD]
helpless [AND] tame [IMPLY] spotless [PERIOD]
worried [AND] jittery [IMPLY] mean [PERIOD]
helpless [IMPLY] loving [PERIOD]
loving [IMPLY] spotless [PERIOD]
jittery [AND] gorgeous [IMPLY] stubborn [PERIOD]
talkative [AND] courageous [IMPLY] fearless [PERIOD]
alert [AND] long [IMPLY] helpless [PERIOD]
mean [AND] jittery [IMPLY] naughty [PERIOD]
cute [AND] light [AND] messy [IMPLY] cruel [PERIOD]
loving [IMPLY] tame [PERIOD]
disobedient [IMPLY] talkative [PERIOD]
gorgeous [AND] foolish [IMPLY] mean [PERIOD]
messy [IMPLY] fearless [PERIOD]
foolish [IMPLY] stubborn [PERIOD]
spotless [IMPLY] naughty [PERIOD]
fearless [AND] homely [AND] stubborn [IMPLY] talkative [PERIOD]
disobedient [AND] talented [IMPLY] mean [PERIOD]
worried [AND] talented [AND] homely [IMPLY] helpless [PERIOD]
homely [IMPLY] messy [PERIOD]
courageous [AND] helpless [AND] jittery [IMPLY] cute [PERIOD]
mean [AND] tame [AND] cute [IMPLY] messy [PERIOD]
jittery [IMPLY] tame [PERIOD]
loving [IMPLY] jittery [PERIOD]
talented [IMPLY] gorgeous [PERIOD]
disobedient [IMPLY] cruel [PERIOD]
talented [IMPLY] alert [PERIOD]
disobedient [AND] stubborn [IMPLY] gorgeous [PERIOD]
loving [IMPLY] worried [PERIOD]
gorgeous [AND] light [AND] naughty [IMPLY] worried [PERIOD]
cute [AND] long [IMPLY] cruel [PERIOD]
wide-eyed [IMPLY] courageous [PERIOD]
courageous [AND] naughty [AND] worried [IMPLY] messy [PERIOD]
naughty [AND] talkative [IMPLY] wide-eyed [PERIOD]
naughty [AND] jittery [AND] worried [IMPLY] talented [PERIOD]
messy [IMPLY] cruel [PERIOD]
alert [AND] wide-eyed [IMPLY] spotless [PERIOD]
jittery [AND] long [IMPLY] messy [PERIOD]
foolish [IMPLY] wide-eyed [PERIOD]
foolish [IMPLY] messy [PERIOD]
courageous [AND] homely [AND] loving [IMPLY] stubborn [PERIOD]
naughty [AND] stubborn [IMPLY] mean [PERIOD]
homely [AND] disobedient [IMPLY] cute [PERIOD]
worried [IMPLY] mean [PERIOD]
stubborn [AND] messy [AND] alert [IMPLY] gorgeous [PERIOD]
jittery [IMPLY] talkative [PERIOD]
talkative [AND] foolish [IMPLY] jittery [PERIOD]
disobedient [AND] messy [AND] worried [IMPLY] naughty [PERIOD]
mean [AND] cruel [AND] talkative [IMPLY] spotless [PERIOD]
helpless [AND] stubborn [AND] spotless [IMPLY] disobedient [PERIOD]
foolish [IMPLY] disobedient [PERIOD]
wide-eyed [AND] stubborn [AND] worried [IMPLY] fearless [PERIOD]
cruel [AND] fearless [AND] loving [IMPLY] wide-eyed [PERIOD]
light [IMPLY] stubborn [PERIOD]
stubborn [AND] homely [AND] helpless [IMPLY] jittery [PERIOD]
fearless [IMPLY] tame [PERIOD]
cute [AND] mean [AND] homely [IMPLY] light [PERIOD]
cute [IMPLY] talented [PERIOD]
helpless [IMPLY] naughty [PERIOD]
helpless [IMPLY] jittery [PERIOD]
talented [AND] stubborn [IMPLY] jittery [PERIOD]
loving [AND] gorgeous [IMPLY] messy [PERIOD]
tame [AND] light [IMPLY] naughty [PERIOD]
foolish [IMPLY] loving [PERIOD]
courageous [AND] gorgeous [IMPLY] homely [PERIOD]
messy [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] spotless [PERIOD]
cruel [AND] loving [IMPLY] helpless [PERIOD]
long [IMPLY] gorgeous [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   Cannot apply rule “helpless ∧ gorgeous ⇒ wide-eyed” because missing: helpless, gorgeous.
   Cannot apply rule “courageous ∧ homely ∧ messy ⇒ wide-eyed” because missing: courageous, homely, messy.
   Cannot apply rule “naughty ∧ talkative ⇒ wide-eyed” because missing: naughty.
   Cannot apply rule “foolish ⇒ wide-eyed” because missing: foolish.
   Cannot apply rule “cruel ∧ fearless ∧ loving ⇒ wide-eyed” because missing: cruel, fearless, loving.
   Cannot apply rule “messy ⇒ wide-eyed” because missing: messy.
",0,6
"Facts: 
Rules:
gleaming [AND] difficult [IMPLY] victorious [PERIOD]
cooperative [AND] scared [IMPLY] victorious [PERIOD]
cooperative [AND] combative [AND] scared [IMPLY] fine [PERIOD]
cooperative [IMPLY] gleaming [PERIOD]
combative [IMPLY] scared [PERIOD]
gleaming [AND] difficult [AND] cooperative [IMPLY] victorious [PERIOD]
combative [AND] scared [IMPLY] difficult [PERIOD]
combative [AND] victorious [AND] scared [IMPLY] gleaming [PERIOD]
scared [IMPLY] victorious [PERIOD]
scared [AND] cooperative [AND] victorious [IMPLY] combative [PERIOD]
gleaming [AND] cooperative [IMPLY] scared [PERIOD]
gleaming [AND] combative [IMPLY] fine [PERIOD]
victorious [AND] scared [AND] gleaming [IMPLY] difficult [PERIOD]
cooperative [AND] difficult [AND] scared [IMPLY] victorious [PERIOD]
difficult [AND] scared [IMPLY] cooperative [PERIOD]
gleaming [AND] combative [IMPLY] victorious [PERIOD]
victorious [IMPLY] scared [PERIOD]
victorious [AND] gleaming [IMPLY] fine [PERIOD]
cooperative [AND] victorious [IMPLY] fine [PERIOD]
gleaming [AND] combative [AND] scared [IMPLY] difficult [PERIOD]
scared [AND] gleaming [IMPLY] combative [PERIOD]
gleaming [IMPLY] victorious [PERIOD]
victorious [AND] cooperative [AND] fine [IMPLY] gleaming [PERIOD]
scared [IMPLY] combative [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   Cannot apply rule “gleaming ∧ difficult ⇒ victorious” because missing: gleaming, difficult.
   Cannot apply rule “cooperative ∧ scared ⇒ victorious” because missing: cooperative, scared.
   Cannot apply rule “gleaming ∧ difficult ∧ cooperative ⇒ victorious” because missing: gleaming, difficult, cooperative.
   Cannot apply rule “scared ⇒ victorious” because missing: scared.
   Cannot apply rule “cooperative ∧ difficult ∧ scared ⇒ victorious” because missing: cooperative, difficult, scared.
   Cannot apply rule “gleaming ∧ combative ⇒ victorious” because missing: gleaming, combative.
   Cannot apply rule “gleaming ⇒ victorious” because missing: gleaming.
",0,7
"Facts:  Alice is jittery [PERIOD] Alice is polite [PERIOD] Alice is innocent [PERIOD] Alice is adorable [PERIOD] Alice is friendly [PERIOD] Alice is broad-minded [PERIOD] Alice is famous [PERIOD] Alice is confused [PERIOD] Alice is proud [PERIOD] Alice is crowded [PERIOD] Alice is victorious [PERIOD]
Rules:
friendly [AND] confused [IMPLY] hurt [PERIOD]
hilarious [AND] broad-minded [AND] spotless [IMPLY] proud [PERIOD]
adorable [IMPLY] foolish [PERIOD]
frail [AND] polite [AND] hurt [IMPLY] fearless [PERIOD]
jittery [IMPLY] confused [PERIOD]
lonely [IMPLY] famous [PERIOD]
lonely [AND] foolish [AND] wrong [IMPLY] proud [PERIOD]
broad-minded [AND] wrong [IMPLY] hurt [PERIOD]
proud [AND] adorable [AND] jittery [IMPLY] frail [PERIOD]
hilarious [AND] spotless [AND] frantic [IMPLY] foolish [PERIOD]
jittery [AND] wide-eyed [IMPLY] innocent [PERIOD]
hilarious [AND] jittery [AND] frail [IMPLY] adorable [PERIOD]
stupid [AND] frail [AND] ugliest [IMPLY] jittery [PERIOD]
rude [AND] broad-minded [IMPLY] fearless [PERIOD]
stupid [AND] confused [IMPLY] lonely [PERIOD]
proud [AND] ugliest [AND] victorious [IMPLY] foolish [PERIOD]
adorable [IMPLY] frantic [PERIOD]
hurt [AND] spotless [AND] confused [IMPLY] polite [PERIOD]
hilarious [AND] confused [AND] famous [IMPLY] innocent [PERIOD]
frail [IMPLY] spotless [PERIOD]
spotless [AND] rude [IMPLY] hilarious [PERIOD]
polite [AND] frail [AND] hilarious [IMPLY] jittery [PERIOD]
stupid [AND] victorious [IMPLY] rude [PERIOD]
frantic [AND] rude [AND] ugliest [IMPLY] confused [PERIOD]
hilarious [IMPLY] victorious [PERIOD]
polite [AND] rude [AND] adorable [IMPLY] innocent [PERIOD]
friendly [IMPLY] hilarious [PERIOD]
fearless [AND] crowded [IMPLY] hilarious [PERIOD]
hurt [IMPLY] frantic [PERIOD]
foolish [AND] crowded [IMPLY] rude [PERIOD]
rude [IMPLY] wide-eyed [PERIOD]
broad-minded [AND] crowded [IMPLY] rude [PERIOD]
innocent [AND] wide-eyed [IMPLY] wrong [PERIOD]
hilarious [IMPLY] frail [PERIOD]
friendly [IMPLY] crowded [PERIOD]
victorious [AND] friendly [AND] frantic [IMPLY] broad-minded [PERIOD]
lonely [AND] spotless [IMPLY] foolish [PERIOD]
broad-minded [AND] adorable [AND] confused [IMPLY] wide-eyed [PERIOD]
stupid [AND] innocent [IMPLY] victorious [PERIOD]
hurt [AND] frail [IMPLY] proud [PERIOD]
innocent [AND] wide-eyed [IMPLY] crowded [PERIOD]
friendly [AND] adorable [IMPLY] victorious [PERIOD]
spotless [IMPLY] frail [PERIOD]
frantic [IMPLY] stupid [PERIOD]
adorable [AND] friendly [IMPLY] spotless [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   friendly ⇒ hilarious
",1,1
"Facts:  Alice is blushing [PERIOD] Alice is frail [PERIOD] Alice is homely [PERIOD] Alice is courageous [PERIOD] Alice is fearless [PERIOD] Alice is troubled [PERIOD] Alice is wrong [PERIOD] Alice is versatile [PERIOD] Alice is thoughtless [PERIOD] Alice is curious [PERIOD] Alice is dull [PERIOD] Alice is horrible [PERIOD]
Rules:
tame [IMPLY] blushing [PERIOD]
mean [IMPLY] curious [PERIOD]
horrible [IMPLY] comfortable [PERIOD]
curious [AND] homely [AND] versatile [IMPLY] tame [PERIOD]
tense [IMPLY] wrong [PERIOD]
tense [IMPLY] thoughtless [PERIOD]
dull [AND] thoughtless [AND] comfortable [IMPLY] blushing [PERIOD]
fearless [AND] homely [AND] pessimistic [IMPLY] tame [PERIOD]
horrible [IMPLY] dull [PERIOD]
lonely [AND] worrisome [AND] helpful [IMPLY] bright [PERIOD]
curious [AND] homely [IMPLY] bright [PERIOD]
attentive [AND] mean [IMPLY] pessimistic [PERIOD]
wrong [AND] blushing [IMPLY] tense [PERIOD]
tame [IMPLY] comfortable [PERIOD]
curious [IMPLY] fearless [PERIOD]
troubled [IMPLY] bright [PERIOD]
helpful [AND] disobedient [AND] lonely [IMPLY] attentive [PERIOD]
versatile [AND] disobedient [IMPLY] busy [PERIOD]
busy [AND] thoughtless [IMPLY] worrisome [PERIOD]
attentive [AND] straightforward [AND] bright [IMPLY] worrisome [PERIOD]
straightforward [AND] mean [IMPLY] worrisome [PERIOD]
horrible [AND] pessimistic [AND] frail [IMPLY] curious [PERIOD]
calm [AND] fearless [IMPLY] wrong [PERIOD]
busy [IMPLY] calm [PERIOD]
disobedient [AND] blushing [AND] bright [IMPLY] lonely [PERIOD]
horrible [IMPLY] fearless [PERIOD]
helpful [AND] blushing [AND] comfortable [IMPLY] attentive [PERIOD]
attentive [AND] dull [IMPLY] wrong [PERIOD]
troubled [AND] straightforward [IMPLY] dull [PERIOD]
straightforward [AND] dull [AND] wrong [IMPLY] rational [PERIOD]
busy [IMPLY] tense [PERIOD]
helpful [IMPLY] courageous [PERIOD]
mean [IMPLY] lonely [PERIOD]
blushing [AND] versatile [AND] bright [IMPLY] lonely [PERIOD]
attentive [AND] wrong [AND] worrisome [IMPLY] helpful [PERIOD]
fearless [AND] tame [AND] attentive [IMPLY] wrong [PERIOD]
busy [IMPLY] rational [PERIOD]
helpful [AND] disobedient [IMPLY] dull [PERIOD]
dull [IMPLY] bright [PERIOD]
fearless [AND] versatile [AND] mean [IMPLY] tame [PERIOD]
thoughtless [AND] bright [IMPLY] dull [PERIOD]
straightforward [AND] courageous [IMPLY] bright [PERIOD]
rational [AND] tense [IMPLY] lonely [PERIOD]
calm [AND] straightforward [AND] rational [IMPLY] lonely [PERIOD]
bright [IMPLY] comfortable [PERIOD]
worrisome [AND] mean [IMPLY] lonely [PERIOD]
thoughtless [AND] calm [IMPLY] comfortable [PERIOD]
dull [AND] versatile [AND] pessimistic [IMPLY] blushing [PERIOD]
fearless [AND] calm [IMPLY] dull [PERIOD]
blushing [AND] wrong [IMPLY] straightforward [PERIOD]
horrible [AND] dull [IMPLY] lonely [PERIOD]
mean [AND] bright [AND] wrong [IMPLY] courageous [PERIOD]
troubled [IMPLY] calm [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   Cannot apply rule “busy ∧ thoughtless ⇒ worrisome” because missing: busy.
   blushing ∧ wrong ⇒ straightforward
   dull ⇒ bright
   Cannot apply rule “attentive ∧ straightforward ∧ bright ⇒ worrisome” because missing: attentive.
   blushing ∧ wrong ⇒ straightforward
   Cannot apply rule “straightforward ∧ mean ⇒ worrisome” because missing: mean.
",0,6
"Facts: 
Rules:
stupid [IMPLY] courageous [PERIOD]
serious [AND] grumpy [AND] courageous [IMPLY] stupid [PERIOD]
distinct [AND] combative [IMPLY] enchanting [PERIOD]
helpful [IMPLY] distinct [PERIOD]
enchanting [AND] serious [IMPLY] grumpy [PERIOD]
distinct [AND] helpful [AND] combative [IMPLY] enchanting [PERIOD]
enchanting [AND] helpful [IMPLY] distinct [PERIOD]
grumpy [AND] distinct [IMPLY] weary [PERIOD]
weary [AND] combative [IMPLY] enchanting [PERIOD]
combative [AND] enchanting [AND] bossy [IMPLY] courageous [PERIOD]
weary [IMPLY] serious [PERIOD]
grumpy [AND] serious [IMPLY] bossy [PERIOD]
grumpy [AND] serious [AND] bossy [IMPLY] helpful [PERIOD]
bossy [AND] weary [AND] serious [IMPLY] enchanting [PERIOD]
bossy [IMPLY] courageous [PERIOD]
serious [AND] courageous [AND] weary [IMPLY] helpful [PERIOD]
courageous [AND] grumpy [AND] combative [IMPLY] distinct [PERIOD]
enchanting [AND] weary [AND] grumpy [IMPLY] stupid [PERIOD]
bossy [IMPLY] combative [PERIOD]
stupid [AND] helpful [IMPLY] serious [PERIOD]
enchanting [IMPLY] grumpy [PERIOD]
serious [AND] courageous [AND] helpful [IMPLY] enchanting [PERIOD]
stupid [AND] grumpy [AND] weary [IMPLY] serious [PERIOD]
distinct [IMPLY] stupid [PERIOD]
grumpy [AND] serious [AND] stupid [IMPLY] distinct [PERIOD]
weary [IMPLY] courageous [PERIOD]
distinct [AND] enchanting [AND] bossy [IMPLY] courageous [PERIOD]
stupid [AND] distinct [IMPLY] helpful [PERIOD]
grumpy [AND] stupid [IMPLY] combative [PERIOD]
helpful [AND] distinct [AND] grumpy [IMPLY] weary [PERIOD]
serious [AND] distinct [IMPLY] weary [PERIOD]
serious [IMPLY] combative [PERIOD]
serious [IMPLY] grumpy [PERIOD]
grumpy [AND] serious [AND] weary [IMPLY] enchanting [PERIOD]
weary [IMPLY] grumpy [PERIOD]
stupid [AND] distinct [AND] enchanting [IMPLY] combative [PERIOD]
grumpy [AND] stupid [IMPLY] bossy [PERIOD]
grumpy [IMPLY] bossy [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   Cannot apply rule “enchanting ∧ serious ⇒ grumpy” because missing: enchanting, serious.
   Cannot apply rule “enchanting ⇒ grumpy” because missing: enchanting.
   Cannot apply rule “serious ⇒ grumpy” because missing: serious.
   Cannot apply rule “weary ⇒ grumpy” because missing: weary.
",0,4
"Facts: 
Rules:
selfish [IMPLY] blushing [PERIOD]
tired [AND] inquisitive [IMPLY] precious [PERIOD]
sensible [AND] hurt [AND] perfect [IMPLY] enchanting [PERIOD]
victorious [AND] wandering [IMPLY] modern [PERIOD]
blushing [AND] dull [IMPLY] wandering [PERIOD]
wandering [AND] selfish [AND] sensible [IMPLY] hurt [PERIOD]
talkative [AND] dull [AND] enchanting [IMPLY] precious [PERIOD]
bad-tempered [IMPLY] anxious [PERIOD]
wandering [AND] bad-tempered [AND] horrible [IMPLY] victorious [PERIOD]
modern [AND] horrible [IMPLY] wandering [PERIOD]
tired [IMPLY] wandering [PERIOD]
precious [IMPLY] outstanding [PERIOD]
dull [AND] perfect [IMPLY] bad-tempered [PERIOD]
anxious [AND] wandering [AND] talkative [IMPLY] old-fashioned [PERIOD]
inquisitive [AND] outstanding [IMPLY] victorious [PERIOD]
inquisitive [AND] enchanting [IMPLY] blushing [PERIOD]
perfect [AND] modern [AND] dull [IMPLY] talkative [PERIOD]
old-fashioned [AND] blushing [AND] bad-tempered [IMPLY] modern [PERIOD]
talkative [AND] old-fashioned [AND] selfish [IMPLY] dull [PERIOD]
outstanding [AND] talkative [AND] old-fashioned [IMPLY] precious [PERIOD]
outstanding [IMPLY] hurt [PERIOD]
modern [AND] anxious [AND] talkative [IMPLY] inquisitive [PERIOD]
horrible [IMPLY] wandering [PERIOD]
perfect [AND] talkative [IMPLY] tired [PERIOD]
hurt [AND] precious [AND] outstanding [IMPLY] modern [PERIOD]
inquisitive [AND] dull [IMPLY] blushing [PERIOD]
outstanding [AND] selfish [AND] hurt [IMPLY] anxious [PERIOD]
perfect [AND] precious [IMPLY] horrible [PERIOD]
outstanding [AND] horrible [IMPLY] hurt [PERIOD]
hurt [AND] sensible [AND] inquisitive [IMPLY] old-fashioned [PERIOD]
horrible [IMPLY] talkative [PERIOD]
inquisitive [AND] talkative [AND] old-fashioned [IMPLY] enchanting [PERIOD]
selfish [AND] talkative [AND] bad-tempered [IMPLY] tired [PERIOD]
modern [IMPLY] hurt [PERIOD]
horrible [IMPLY] old-fashioned [PERIOD]
dull [IMPLY] inquisitive [PERIOD]
precious [AND] inquisitive [IMPLY] modern [PERIOD]
outstanding [IMPLY] old-fashioned [PERIOD]
modern [AND] inquisitive [AND] outstanding [IMPLY] selfish [PERIOD]
victorious [IMPLY] horrible [PERIOD]
wandering [AND] victorious [IMPLY] precious [PERIOD]
inquisitive [AND] wandering [IMPLY] modern [PERIOD]
bad-tempered [AND] wandering [AND] victorious [IMPLY] talkative [PERIOD]
bad-tempered [IMPLY] dull [PERIOD]
bad-tempered [AND] inquisitive [AND] victorious [IMPLY] perfect [PERIOD]
wandering [AND] enchanting [IMPLY] horrible [PERIOD]
horrible [AND] wandering [AND] old-fashioned [IMPLY] modern [PERIOD]
precious [IMPLY] modern [PERIOD]
tired [IMPLY] modern [PERIOD]
bad-tempered [AND] wandering [IMPLY] perfect [PERIOD]
inquisitive [AND] precious [IMPLY] hurt [PERIOD]
talkative [AND] sensible [IMPLY] modern [PERIOD]
inquisitive [IMPLY] horrible [PERIOD]
enchanting [AND] perfect [IMPLY] wandering [PERIOD]
enchanting [AND] dull [AND] perfect [IMPLY] old-fashioned [PERIOD]
old-fashioned [IMPLY] anxious [PERIOD]
outstanding [IMPLY] anxious [PERIOD]
inquisitive [AND] perfect [AND] old-fashioned [IMPLY] sensible [PERIOD]
anxious [AND] inquisitive [IMPLY] selfish [PERIOD]
enchanting [AND] outstanding [IMPLY] selfish [PERIOD]
victorious [AND] blushing [IMPLY] horrible [PERIOD]
blushing [AND] outstanding [AND] inquisitive [IMPLY] perfect [PERIOD]
sensible [AND] old-fashioned [IMPLY] hurt [PERIOD]
bad-tempered [AND] anxious [IMPLY] inquisitive [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   Cannot apply rule “perfect ∧ precious ⇒ horrible” because missing: perfect, precious.
   Cannot apply rule “victorious ⇒ horrible” because missing: victorious.
   Cannot apply rule “wandering ∧ enchanting ⇒ horrible” because missing: wandering, enchanting.
   Cannot apply rule “inquisitive ⇒ horrible” because missing: inquisitive.
   Cannot apply rule “victorious ∧ blushing ⇒ horrible” because missing: victorious, blushing.
",0,5
"Facts:  Alice is confused [PERIOD] Alice is curious [PERIOD] Alice is proud [PERIOD] Alice is dull [PERIOD] Alice is lonely [PERIOD] Alice is amused [PERIOD] Alice is straightforward [PERIOD]
Rules:
worrisome [AND] tense [AND] gifted [IMPLY] outrageous [PERIOD]
dull [AND] worrisome [AND] scared [IMPLY] pleasant [PERIOD]
confused [AND] worrisome [AND] pleasant [IMPLY] tame [PERIOD]
confused [IMPLY] modern [PERIOD]
elegant [AND] curious [IMPLY] scared [PERIOD]
tidy [AND] modern [IMPLY] tense [PERIOD]
tidy [AND] curious [IMPLY] tense [PERIOD]
cooperative [AND] elegant [AND] tame [IMPLY] dull [PERIOD]
worrisome [IMPLY] proud [PERIOD]
straightforward [IMPLY] gifted [PERIOD]
dull [IMPLY] outrageous [PERIOD]
outrageous [AND] hypocritical [IMPLY] witty [PERIOD]
modern [AND] hypocritical [AND] worrisome [IMPLY] proud [PERIOD]
witty [AND] tame [IMPLY] gifted [PERIOD]
modern [AND] tense [AND] pleasant [IMPLY] curious [PERIOD]
amused [IMPLY] tidy [PERIOD]
tidy [AND] confused [AND] dull [IMPLY] tame [PERIOD]
dull [AND] elegant [IMPLY] scared [PERIOD]
mysterious [AND] straightforward [AND] elegant [IMPLY] cooperative [PERIOD]
tidy [AND] cooperative [AND] pleasant [IMPLY] elegant [PERIOD]
outrageous [IMPLY] tame [PERIOD]
confused [IMPLY] dull [PERIOD]
dull [AND] amused [IMPLY] witty [PERIOD]
curious [AND] cooperative [AND] bossy [IMPLY] tame [PERIOD]
hypocritical [IMPLY] straightforward [PERIOD]
worrisome [AND] elegant [IMPLY] scared [PERIOD]
bossy [IMPLY] pleasant [PERIOD]
lonely [AND] elegant [AND] worrisome [IMPLY] difficult [PERIOD]
hypocritical [IMPLY] bossy [PERIOD]
amused [AND] cooperative [AND] proud [IMPLY] worrisome [PERIOD]
bossy [IMPLY] scared [PERIOD]
difficult [AND] scared [AND] curious [IMPLY] tense [PERIOD]
curious [AND] confused [AND] mysterious [IMPLY] proud [PERIOD]
worrisome [IMPLY] lonely [PERIOD]
proud [IMPLY] tidy [PERIOD]
lonely [IMPLY] witty [PERIOD]
modern [AND] straightforward [IMPLY] worrisome [PERIOD]
elegant [IMPLY] tame [PERIOD]
proud [AND] tense [IMPLY] curious [PERIOD]
cooperative [AND] witty [AND] hypocritical [IMPLY] pleasant [PERIOD]
witty [IMPLY] pleasant [PERIOD]
witty [AND] tense [AND] difficult [IMPLY] straightforward [PERIOD]
pleasant [AND] difficult [IMPLY] cooperative [PERIOD]
tense [AND] gifted [IMPLY] elegant [PERIOD]
modern [AND] lonely [AND] outrageous [IMPLY] mysterious [PERIOD]
bossy [AND] modern [IMPLY] amused [PERIOD]
mysterious [AND] pleasant [AND] hypocritical [IMPLY] proud [PERIOD]
gifted [AND] cooperative [AND] scared [IMPLY] confused [PERIOD]
elegant [AND] bossy [IMPLY] hypocritical [PERIOD]
outrageous [AND] scared [IMPLY] mysterious [PERIOD]
difficult [AND] scared [IMPLY] outrageous [PERIOD]
dull [AND] scared [AND] confused [IMPLY] witty [PERIOD]
curious [AND] scared [IMPLY] difficult [PERIOD]
confused [IMPLY] gifted [PERIOD]
mysterious [AND] modern [IMPLY] dull [PERIOD]
gifted [AND] confused [AND] bossy [IMPLY] lonely [PERIOD]
outrageous [AND] curious [IMPLY] mysterious [PERIOD]
tense [AND] amused [IMPLY] hypocritical [PERIOD]
confused [IMPLY] hypocritical [PERIOD]
curious [AND] mysterious [AND] proud [IMPLY] dull [PERIOD]
gifted [AND] amused [AND] hypocritical [IMPLY] scared [PERIOD]
dull [IMPLY] proud [PERIOD]
proud [IMPLY] outrageous [PERIOD]
witty [AND] gifted [IMPLY] tidy [PERIOD]
tidy [AND] tense [AND] proud [IMPLY] straightforward [PERIOD]
cooperative [AND] bossy [AND] tame [IMPLY] amused [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   amused ⇒ tidy
   confused ⇒ modern
   tidy ∧ modern ⇒ tense
",1,3
"Facts:  Alice is amused [PERIOD] Alice is average [PERIOD] Alice is attentive [PERIOD] Alice is jittery [PERIOD] Alice is sincere [PERIOD] Alice is scared [PERIOD] Alice is impatient [PERIOD] Alice is courageous [PERIOD]
Rules:
jittery [IMPLY] mysterious [PERIOD]
scared [AND] impatient [IMPLY] sincere [PERIOD]
witty [IMPLY] intellectual [PERIOD]
confused [AND] thoughtless [AND] exuberant [IMPLY] nervous [PERIOD]
thoughtless [IMPLY] naughty [PERIOD]
witty [IMPLY] ambitious [PERIOD]
dull [IMPLY] tense [PERIOD]
intellectual [IMPLY] spotless [PERIOD]
amused [AND] average [IMPLY] exuberant [PERIOD]
naughty [IMPLY] quaint [PERIOD]
tense [IMPLY] ambitious [PERIOD]
scared [AND] exuberant [IMPLY] helpful [PERIOD]
ambitious [AND] worrisome [IMPLY] helpful [PERIOD]
amused [IMPLY] comfortable [PERIOD]
jittery [AND] ambitious [AND] intellectual [IMPLY] dull [PERIOD]
quaint [AND] confused [AND] witty [IMPLY] intellectual [PERIOD]
average [AND] sincere [AND] curious [IMPLY] nervous [PERIOD]
curious [AND] intellectual [AND] nervous [IMPLY] dull [PERIOD]
nervous [AND] jittery [IMPLY] average [PERIOD]
helpful [AND] worrisome [IMPLY] spotless [PERIOD]
spotless [AND] attentive [IMPLY] impatient [PERIOD]
spotless [IMPLY] quaint [PERIOD]
helpful [AND] ambitious [IMPLY] nervous [PERIOD]
ambitious [IMPLY] confused [PERIOD]
thoughtless [AND] spotless [AND] average [IMPLY] intellectual [PERIOD]
fine [IMPLY] worrisome [PERIOD]
spotless [AND] thoughtful [AND] ambitious [IMPLY] attentive [PERIOD]
comfortable [AND] curious [IMPLY] tense [PERIOD]
scared [IMPLY] ambitious [PERIOD]
ambitious [AND] dull [AND] impatient [IMPLY] courageous [PERIOD]
spotless [AND] thoughtful [IMPLY] attentive [PERIOD]
scared [AND] spotless [AND] helpful [IMPLY] dull [PERIOD]
spotless [IMPLY] witty [PERIOD]
ambitious [AND] attentive [AND] naughty [IMPLY] jittery [PERIOD]
naughty [IMPLY] thoughtful [PERIOD]
witty [IMPLY] confused [PERIOD]
ambitious [AND] confused [IMPLY] exuberant [PERIOD]
impatient [AND] thoughtful [AND] nervous [IMPLY] tense [PERIOD]
attentive [AND] courageous [IMPLY] amused [PERIOD]
scared [AND] courageous [IMPLY] thoughtful [PERIOD]
thoughtful [AND] courageous [AND] worrisome [IMPLY] naughty [PERIOD]
attentive [AND] jittery [AND] average [IMPLY] mysterious [PERIOD]
nervous [AND] exuberant [AND] jittery [IMPLY] attentive [PERIOD]
thoughtless [IMPLY] sincere [PERIOD]
confused [AND] attentive [IMPLY] jittery [PERIOD]
thoughtless [AND] confused [AND] mysterious [IMPLY] curious [PERIOD]
worrisome [AND] tense [AND] mysterious [IMPLY] thoughtless [PERIOD]
naughty [IMPLY] tense [PERIOD]
helpful [AND] naughty [AND] thoughtless [IMPLY] comfortable [PERIOD]
dull [IMPLY] worrisome [PERIOD]
quaint [AND] sincere [AND] average [IMPLY] dull [PERIOD]
comfortable [IMPLY] nervous [PERIOD]
impatient [IMPLY] thoughtful [PERIOD]
thoughtless [AND] comfortable [IMPLY] scared [PERIOD]
ambitious [IMPLY] spotless [PERIOD]
thoughtless [AND] intellectual [AND] helpful [IMPLY] courageous [PERIOD]
naughty [IMPLY] sincere [PERIOD]
nervous [IMPLY] exuberant [PERIOD]
amused [AND] average [IMPLY] attentive [PERIOD]
dull [IMPLY] curious [PERIOD]
average [AND] dull [AND] impatient [IMPLY] ambitious [PERIOD]
dull [AND] worrisome [IMPLY] average [PERIOD]
comfortable [AND] witty [IMPLY] exuberant [PERIOD]
helpful [IMPLY] spotless [PERIOD]
attentive [IMPLY] curious [PERIOD]
jittery [AND] courageous [AND] dull [IMPLY] fine [PERIOD]
naughty [AND] curious [AND] impatient [IMPLY] thoughtless [PERIOD]
thoughtless [AND] impatient [AND] intellectual [IMPLY] average [PERIOD]
impatient [AND] thoughtful [IMPLY] helpful [PERIOD]
nervous [AND] scared [IMPLY] thoughtless [PERIOD]
mysterious [AND] average [IMPLY] attentive [PERIOD]
mysterious [AND] curious [IMPLY] comfortable [PERIOD]
sincere [AND] average [IMPLY] thoughtful [PERIOD]
intellectual [AND] naughty [IMPLY] comfortable [PERIOD]
witty [AND] thoughtless [AND] thoughtful [IMPLY] dull [PERIOD]
thoughtless [AND] nervous [AND] thoughtful [IMPLY] spotless [PERIOD]
confused [AND] worrisome [AND] sincere [IMPLY] dull [PERIOD]
helpful [IMPLY] thoughtless [PERIOD]
fine [AND] confused [AND] amused [IMPLY] mysterious [PERIOD]
helpful [AND] thoughtless [AND] witty [IMPLY] naughty [PERIOD]
witty [AND] exuberant [IMPLY] nervous [PERIOD]
scared [AND] amused [IMPLY] quaint [PERIOD]
intellectual [AND] comfortable [AND] ambitious [IMPLY] nervous [PERIOD]
naughty [AND] nervous [AND] average [IMPLY] ambitious [PERIOD]
tense [AND] fine [AND] nervous [IMPLY] mysterious [PERIOD]
fine [IMPLY] attentive [PERIOD]
thoughtful [IMPLY] quaint [PERIOD]
naughty [AND] impatient [AND] nervous [IMPLY] exuberant [PERIOD]
mysterious [IMPLY] comfortable [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   amused ∧ average ⇒ exuberant
   scared ∧ exuberant ⇒ helpful
   helpful ⇒ thoughtless
   scared ⇒ ambitious
   ambitious ⇒ spotless
   thoughtless ∧ spotless ∧ average ⇒ intellectual
",1,6
"Facts:  Alice is polite [PERIOD] Alice is worried [PERIOD] Alice is modern [PERIOD]
Rules:
confused [IMPLY] versatile [PERIOD]
worried [AND] modern [AND] confused [IMPLY] polite [PERIOD]
polite [AND] confused [AND] worried [IMPLY] modern [PERIOD]
modern [AND] worried [AND] versatile [IMPLY] polite [PERIOD]
rational [AND] worried [IMPLY] modern [PERIOD]
polite [AND] worried [AND] modern [IMPLY] versatile [PERIOD]
rational [AND] confused [AND] versatile [IMPLY] polite [PERIOD]
worried [AND] rational [AND] versatile [IMPLY] confused [PERIOD]
versatile [AND] modern [IMPLY] polite [PERIOD]
rational [AND] polite [IMPLY] confused [PERIOD]
rational [AND] polite [AND] modern [IMPLY] confused [PERIOD]
confused [AND] worried [IMPLY] rational [PERIOD]
rational [IMPLY] confused [PERIOD]
confused [AND] rational [IMPLY] modern [PERIOD]
polite [AND] worried [AND] rational [IMPLY] confused [PERIOD]
versatile [AND] rational [AND] modern [IMPLY] polite [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   polite ∧ worried ∧ modern ⇒ versatile
   Cannot apply rule “worried ∧ rational ∧ versatile ⇒ confused” because missing: rational.
   Cannot apply rule “rational ∧ polite ⇒ confused” because missing: rational.
   Cannot apply rule “rational ∧ polite ∧ modern ⇒ confused” because missing: rational.
   Cannot apply rule “rational ⇒ confused” because missing: rational.
   Cannot apply rule “polite ∧ worried ∧ rational ⇒ confused” because missing: rational.
",0,6
"Facts:  Alice is perfect [PERIOD]
Rules:
tidy [AND] wandering [AND] bright [IMPLY] perfect [PERIOD]
charming [IMPLY] perfect [PERIOD]
scared [AND] amused [IMPLY] ugliest [PERIOD]
enchanting [IMPLY] ugliest [PERIOD]
bright [AND] frightened [AND] perfect [IMPLY] different [PERIOD]
frantic [IMPLY] scared [PERIOD]
frantic [AND] glamorous [AND] perfect [IMPLY] old-fashioned [PERIOD]
tidy [IMPLY] ugliest [PERIOD]
frantic [AND] reserved [AND] different [IMPLY] polite [PERIOD]
ugliest [IMPLY] perfect [PERIOD]
tidy [AND] plain [IMPLY] reserved [PERIOD]
bright [AND] silly [AND] enchanting [IMPLY] hilarious [PERIOD]
silly [AND] difficult [IMPLY] frightened [PERIOD]
old-fashioned [IMPLY] reserved [PERIOD]
wandering [AND] serious [IMPLY] glamorous [PERIOD]
polite [AND] plain [IMPLY] hilarious [PERIOD]
reserved [AND] perfect [IMPLY] frantic [PERIOD]
bright [IMPLY] wandering [PERIOD]
hilarious [IMPLY] reserved [PERIOD]
enchanting [AND] tidy [AND] frightened [IMPLY] difficult [PERIOD]
outstanding [IMPLY] frightened [PERIOD]
enchanting [IMPLY] reserved [PERIOD]
polite [IMPLY] perfect [PERIOD]
amused [AND] old-fashioned [AND] frail [IMPLY] enchanting [PERIOD]
hilarious [IMPLY] serious [PERIOD]
frightened [AND] difficult [AND] wandering [IMPLY] scared [PERIOD]
difficult [IMPLY] scared [PERIOD]
frail [AND] different [AND] silly [IMPLY] glamorous [PERIOD]
frail [IMPLY] tidy [PERIOD]
ugliest [IMPLY] glamorous [PERIOD]
difficult [AND] tidy [AND] ugliest [IMPLY] serious [PERIOD]
frail [AND] amused [IMPLY] hilarious [PERIOD]
glamorous [AND] old-fashioned [IMPLY] tidy [PERIOD]
difficult [IMPLY] glamorous [PERIOD]
enchanting [AND] tense [IMPLY] difficult [PERIOD]
outstanding [AND] perfect [AND] wandering [IMPLY] glamorous [PERIOD]
tense [AND] silly [IMPLY] different [PERIOD]
wandering [AND] scared [AND] frail [IMPLY] plain [PERIOD]
serious [AND] bright [AND] scared [IMPLY] polite [PERIOD]
scared [AND] polite [IMPLY] charming [PERIOD]
polite [AND] serious [AND] scared [IMPLY] frail [PERIOD]
frantic [AND] hilarious [IMPLY] reserved [PERIOD]
silly [AND] hilarious [AND] enchanting [IMPLY] plain [PERIOD]
plain [AND] frightened [AND] amused [IMPLY] different [PERIOD]
frail [AND] bright [AND] different [IMPLY] enchanting [PERIOD]
polite [AND] outstanding [AND] tense [IMPLY] serious [PERIOD]
perfect [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] polite [PERIOD]
nervous [AND] outstanding [IMPLY] tidy [PERIOD]
silly [AND] ugliest [IMPLY] old-fashioned [PERIOD]
tense [AND] enchanting [AND] nervous [IMPLY] frightened [PERIOD]
difficult [AND] different [AND] reserved [IMPLY] bright [PERIOD]
perfect [IMPLY] frightened [PERIOD]
scared [AND] tense [AND] difficult [IMPLY] frightened [PERIOD]
reserved [AND] different [IMPLY] amused [PERIOD]
outstanding [AND] nervous [AND] old-fashioned [IMPLY] plain [PERIOD]
frantic [AND] old-fashioned [IMPLY] scared [PERIOD]
tense [IMPLY] serious [PERIOD]
old-fashioned [AND] charming [AND] ugliest [IMPLY] frightened [PERIOD]
reserved [AND] frantic [IMPLY] enchanting [PERIOD]
bright [IMPLY] hilarious [PERIOD]
tense [AND] polite [AND] nervous [IMPLY] hilarious [PERIOD]
nervous [AND] difficult [AND] tense [IMPLY] wandering [PERIOD]
frantic [AND] charming [AND] polite [IMPLY] enchanting [PERIOD]
perfect [AND] nervous [AND] hilarious [IMPLY] tidy [PERIOD]
polite [IMPLY] bright [PERIOD]
outstanding [AND] ugliest [IMPLY] frail [PERIOD]
frightened [IMPLY] old-fashioned [PERIOD]
reserved [AND] glamorous [AND] polite [IMPLY] difficult [PERIOD]
frail [AND] polite [AND] perfect [IMPLY] tidy [PERIOD]
silly [IMPLY] tidy [PERIOD]
outstanding [AND] frail [IMPLY] perfect [PERIOD]
tidy [IMPLY] nervous [PERIOD]
serious [AND] tidy [IMPLY] hilarious [PERIOD]
wandering [IMPLY] tidy [PERIOD]
wandering [AND] old-fashioned [IMPLY] glamorous [PERIOD]
charming [AND] reserved [AND] glamorous [IMPLY] plain [PERIOD]
frightened [AND] serious [IMPLY] amused [PERIOD]
tidy [IMPLY] charming [PERIOD]
plain [IMPLY] frail [PERIOD]
tense [AND] difficult [IMPLY] charming [PERIOD]
enchanting [AND] reserved [IMPLY] outstanding [PERIOD]
scared [AND] bright [IMPLY] serious [PERIOD]
perfect [AND] different [AND] reserved [IMPLY] ugliest [PERIOD]
frightened [AND] tense [AND] polite [IMPLY] bright [PERIOD]
bright [AND] glamorous [IMPLY] charming [PERIOD]
scared [IMPLY] wandering [PERIOD]
charming [IMPLY] difficult [PERIOD]
tidy [IMPLY] tense [PERIOD]
charming [AND] outstanding [AND] serious [IMPLY] amused [PERIOD]
outstanding [AND] scared [AND] wandering [IMPLY] perfect [PERIOD]
wandering [AND] different [IMPLY] charming [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   perfect ⇒ ugliest
   ugliest ⇒ glamorous
   perfect ⇒ frightened
   frightened ⇒ old-fashioned
   glamorous ∧ old-fashioned ⇒ tidy
   tidy ⇒ tense
",1,6
"Facts:  Alice is horrible [PERIOD] Alice is silly [PERIOD] Alice is diplomatic [PERIOD] Alice is broad-minded [PERIOD] Alice is fearless [PERIOD] Alice is muddy [PERIOD] Alice is bad-tempered [PERIOD] Alice is crowded [PERIOD] Alice is disgusted [PERIOD] Alice is sincere [PERIOD] Alice is quaint [PERIOD]
Rules:
horrible [AND] excited [IMPLY] confused [PERIOD]
different [IMPLY] ugliest [PERIOD]
fine [AND] disgusted [IMPLY] blushing [PERIOD]
excited [AND] nervous [AND] silly [IMPLY] straightforward [PERIOD]
broad-minded [AND] confused [AND] popular [IMPLY] ugly [PERIOD]
fine [AND] smart [AND] broad-minded [IMPLY] excited [PERIOD]
disgusted [AND] silly [AND] different [IMPLY] straightforward [PERIOD]
quaint [AND] different [AND] popular [IMPLY] fearless [PERIOD]
excited [AND] broad-minded [AND] popular [IMPLY] quaint [PERIOD]
diplomatic [AND] muddy [IMPLY] smart [PERIOD]
smart [AND] popular [AND] aggressive [IMPLY] confused [PERIOD]
diplomatic [AND] frightened [AND] confused [IMPLY] ugly [PERIOD]
quaint [IMPLY] disgusted [PERIOD]
silly [AND] excited [AND] sincere [IMPLY] muddy [PERIOD]
fine [IMPLY] fearless [PERIOD]
aggressive [AND] broad-minded [AND] attentive [IMPLY] good [PERIOD]
quaint [IMPLY] popular [PERIOD]
smart [AND] bad-tempered [IMPLY] blushing [PERIOD]
straightforward [AND] broad-minded [IMPLY] bad-tempered [PERIOD]
smart [IMPLY] nervous [PERIOD]
bad-tempered [AND] nervous [AND] frightened [IMPLY] muddy [PERIOD]
sincere [AND] fearless [IMPLY] proud [PERIOD]
diplomatic [IMPLY] disgusted [PERIOD]
popular [IMPLY] quaint [PERIOD]
disgusted [AND] ugly [IMPLY] nervous [PERIOD]
broad-minded [AND] aggressive [AND] different [IMPLY] crowded [PERIOD]
shiny [AND] crowded [IMPLY] attentive [PERIOD]
Query: Alice is diplomatic [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is exuberant [PERIOD] Alice is frightened [PERIOD] Alice is ambitious [PERIOD] Alice is crowded [PERIOD] Alice is uptight [PERIOD] Alice is thoughtless [PERIOD] Alice is ugliest [PERIOD]
Rules:
charming [AND] bored [AND] gleaming [IMPLY] dull [PERIOD]
bored [AND] dull [AND] charming [IMPLY] frightened [PERIOD]
frightened [AND] ambitious [IMPLY] ugliest [PERIOD]
outrageous [AND] uptight [IMPLY] gleaming [PERIOD]
bored [AND] gleaming [AND] uptight [IMPLY] troubled [PERIOD]
frightened [AND] bored [IMPLY] gleaming [PERIOD]
selfish [IMPLY] exuberant [PERIOD]
dull [AND] ambitious [IMPLY] outrageous [PERIOD]
exuberant [IMPLY] ugliest [PERIOD]
gleaming [AND] mysterious [AND] outrageous [IMPLY] ambitious [PERIOD]
charming [AND] outrageous [IMPLY] selfish [PERIOD]
charming [IMPLY] exuberant [PERIOD]
selfish [IMPLY] gleaming [PERIOD]
pessimistic [IMPLY] crowded [PERIOD]
ugliest [IMPLY] worrisome [PERIOD]
thoughtless [IMPLY] gleaming [PERIOD]
uptight [IMPLY] ugliest [PERIOD]
selfish [AND] gleaming [IMPLY] pessimistic [PERIOD]
troubled [AND] attentive [IMPLY] crowded [PERIOD]
attentive [IMPLY] crowded [PERIOD]
crowded [AND] dull [IMPLY] mysterious [PERIOD]
bored [AND] thoughtless [IMPLY] outrageous [PERIOD]
bored [IMPLY] pessimistic [PERIOD]
ambitious [AND] bored [IMPLY] exuberant [PERIOD]
crowded [AND] pessimistic [AND] attentive [IMPLY] bored [PERIOD]
exuberant [AND] ambitious [AND] attentive [IMPLY] ugliest [PERIOD]
worrisome [IMPLY] mysterious [PERIOD]
bored [IMPLY] outrageous [PERIOD]
ugliest [AND] pessimistic [AND] ambitious [IMPLY] bored [PERIOD]
crowded [AND] attentive [AND] frightened [IMPLY] troubled [PERIOD]
gleaming [AND] ugliest [IMPLY] frightened [PERIOD]
frightened [AND] exuberant [IMPLY] dull [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   ugliest ⇒ worrisome
",1,1
"Facts:  Alice is straightforward [PERIOD] Alice is victorious [PERIOD]
Rules:
straightforward [AND] wide-eyed [AND] victorious [IMPLY] naughty [PERIOD]
lonely [AND] disobedient [IMPLY] versatile [PERIOD]
disobedient [AND] silly [AND] versatile [IMPLY] lonely [PERIOD]
naughty [AND] polite [AND] victorious [IMPLY] foolish [PERIOD]
mysterious [AND] lonely [IMPLY] versatile [PERIOD]
straightforward [IMPLY] versatile [PERIOD]
tired [AND] tense [AND] straightforward [IMPLY] silly [PERIOD]
tense [IMPLY] straightforward [PERIOD]
tense [AND] victorious [AND] straightforward [IMPLY] wide-eyed [PERIOD]
silly [AND] lonely [AND] straightforward [IMPLY] victorious [PERIOD]
mysterious [IMPLY] wide-eyed [PERIOD]
disobedient [AND] polite [AND] tense [IMPLY] tired [PERIOD]
versatile [IMPLY] mysterious [PERIOD]
polite [AND] tired [AND] silly [IMPLY] disobedient [PERIOD]
polite [AND] lonely [IMPLY] versatile [PERIOD]
straightforward [AND] polite [AND] silly [IMPLY] mysterious [PERIOD]
wide-eyed [IMPLY] naughty [PERIOD]
victorious [AND] naughty [IMPLY] mysterious [PERIOD]
polite [IMPLY] lonely [PERIOD]
disobedient [AND] versatile [AND] polite [IMPLY] naughty [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   straightforward ⇒ versatile
   versatile ⇒ mysterious
   mysterious ⇒ wide-eyed
   straightforward ∧ wide-eyed ∧ victorious ⇒ naughty
   Cannot apply rule “naughty ∧ polite ∧ victorious ⇒ foolish” because missing: polite.
",0,5
"Facts:  Alice is wide-eyed [PERIOD] Alice is famous [PERIOD] Alice is excited [PERIOD] Alice is vivacious [PERIOD] Alice is fine [PERIOD] Alice is old-fashioned [PERIOD] Alice is strange [PERIOD] Alice is attentive [PERIOD] Alice is reserved [PERIOD] Alice is messy [PERIOD] Alice is sincere [PERIOD]
Rules:
fine [IMPLY] famous [PERIOD]
sensible [AND] attentive [AND] hilarious [IMPLY] troubled [PERIOD]
agreeable [IMPLY] vivacious [PERIOD]
hypocritical [IMPLY] impatient [PERIOD]
embarrassed [IMPLY] old-fashioned [PERIOD]
wide-eyed [IMPLY] troubled [PERIOD]
sincere [AND] hilarious [AND] ugliest [IMPLY] thoughtless [PERIOD]
frail [AND] troubled [AND] long [IMPLY] rude [PERIOD]
long [AND] sincere [IMPLY] messy [PERIOD]
fragile [AND] glamorous [AND] sincere [IMPLY] rational [PERIOD]
agreeable [IMPLY] blushing [PERIOD]
agreeable [IMPLY] hypocritical [PERIOD]
thoughtless [IMPLY] troubled [PERIOD]
vivacious [IMPLY] long [PERIOD]
tired [AND] fragile [IMPLY] agreeable [PERIOD]
famous [IMPLY] hypocritical [PERIOD]
hilarious [AND] tired [AND] frail [IMPLY] famous [PERIOD]
hypocritical [AND] fine [AND] long [IMPLY] messy [PERIOD]
old-fashioned [IMPLY] attentive [PERIOD]
agreeable [AND] frail [IMPLY] vivacious [PERIOD]
hypocritical [AND] polite [AND] rude [IMPLY] hilarious [PERIOD]
ugliest [IMPLY] hypocritical [PERIOD]
crowded [AND] famous [IMPLY] rude [PERIOD]
fragile [IMPLY] strange [PERIOD]
impatient [IMPLY] blushing [PERIOD]
messy [IMPLY] sensible [PERIOD]
sincere [AND] wide-eyed [AND] vivacious [IMPLY] sensible [PERIOD]
fragile [AND] hilarious [IMPLY] polite [PERIOD]
fine [IMPLY] thoughtless [PERIOD]
rude [IMPLY] rational [PERIOD]
glamorous [AND] reserved [AND] old-fashioned [IMPLY] famous [PERIOD]
old-fashioned [AND] long [IMPLY] frail [PERIOD]
ugliest [AND] strange [AND] crowded [IMPLY] thoughtless [PERIOD]
wide-eyed [AND] tired [AND] rational [IMPLY] agreeable [PERIOD]
hypocritical [AND] fragile [AND] rational [IMPLY] polite [PERIOD]
strange [AND] fragile [IMPLY] hypocritical [PERIOD]
famous [AND] glamorous [AND] attentive [IMPLY] embarrassed [PERIOD]
frail [AND] fragile [AND] reserved [IMPLY] fine [PERIOD]
long [AND] excited [AND] impatient [IMPLY] fine [PERIOD]
hilarious [IMPLY] rude [PERIOD]
rational [AND] hypocritical [IMPLY] troubled [PERIOD]
thoughtless [AND] fine [AND] famous [IMPLY] excited [PERIOD]
rude [IMPLY] messy [PERIOD]
hilarious [AND] wide-eyed [IMPLY] reserved [PERIOD]
polite [AND] hypocritical [AND] frail [IMPLY] agreeable [PERIOD]
impatient [AND] attentive [AND] crowded [IMPLY] rational [PERIOD]
blushing [IMPLY] sincere [PERIOD]
strange [AND] sensible [IMPLY] famous [PERIOD]
rational [AND] embarrassed [AND] glamorous [IMPLY] hypocritical [PERIOD]
rude [IMPLY] long [PERIOD]
rude [IMPLY] ugliest [PERIOD]
long [IMPLY] frail [PERIOD]
rude [AND] sincere [AND] frail [IMPLY] reserved [PERIOD]
crowded [AND] blushing [IMPLY] old-fashioned [PERIOD]
rude [AND] attentive [AND] fragile [IMPLY] agreeable [PERIOD]
reserved [AND] crowded [AND] impatient [IMPLY] attentive [PERIOD]
long [IMPLY] strange [PERIOD]
ugliest [IMPLY] agreeable [PERIOD]
wide-eyed [AND] impatient [AND] rude [IMPLY] excited [PERIOD]
polite [IMPLY] old-fashioned [PERIOD]
troubled [IMPLY] hypocritical [PERIOD]
vivacious [IMPLY] blushing [PERIOD]
rude [AND] polite [AND] rational [IMPLY] blushing [PERIOD]
embarrassed [AND] rude [AND] troubled [IMPLY] polite [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   vivacious ⇒ long
   old-fashioned ∧ long ⇒ frail
   wide-eyed ⇒ troubled
   vivacious ⇒ long
   frail ∧ troubled ∧ long ⇒ rude
   rude ⇒ ugliest
   ugliest ⇒ agreeable
",1,7
"Facts:  Alice is versatile [PERIOD] Alice is stormy [PERIOD] Alice is powerful [PERIOD] Alice is perfect [PERIOD] Alice is straightforward [PERIOD] Alice is worrisome [PERIOD] Alice is adorable [PERIOD] Alice is rude [PERIOD] Alice is ugly [PERIOD] Alice is easy [PERIOD] Alice is cute [PERIOD] Alice is helpful [PERIOD] Alice is friendly [PERIOD] Alice is inquisitive [PERIOD] Alice is frightened [PERIOD]
Rules:
inquisitive [AND] shy [AND] ugly [IMPLY] victorious [PERIOD]
adorable [AND] ugliest [AND] messy [IMPLY] versatile [PERIOD]
helpful [AND] ugliest [AND] stormy [IMPLY] frightened [PERIOD]
ugliest [AND] stormy [IMPLY] friendly [PERIOD]
selfish [AND] fancy [AND] dull [IMPLY] messy [PERIOD]
selfish [AND] attractive [AND] attentive [IMPLY] ugly [PERIOD]
perfect [AND] attractive [IMPLY] gorgeous [PERIOD]
glamorous [IMPLY] shy [PERIOD]
stormy [IMPLY] ugly [PERIOD]
dull [AND] straightforward [AND] friendly [IMPLY] fancy [PERIOD]
versatile [AND] easy [IMPLY] attractive [PERIOD]
attentive [IMPLY] rude [PERIOD]
helpful [AND] victorious [AND] versatile [IMPLY] thoughtless [PERIOD]
ugly [AND] straightforward [AND] versatile [IMPLY] adorable [PERIOD]
versatile [IMPLY] friendly [PERIOD]
ugliest [AND] glamorous [IMPLY] straightforward [PERIOD]
fancy [AND] frightened [AND] ugliest [IMPLY] rude [PERIOD]
dull [AND] friendly [AND] rude [IMPLY] ugly [PERIOD]
adorable [IMPLY] messy [PERIOD]
dull [AND] frightened [AND] glamorous [IMPLY] inquisitive [PERIOD]
helpful [IMPLY] thoughtless [PERIOD]
frightened [AND] ugly [IMPLY] stormy [PERIOD]
cute [AND] powerful [IMPLY] ugly [PERIOD]
inquisitive [AND] fancy [IMPLY] versatile [PERIOD]
foolish [AND] glamorous [AND] helpful [IMPLY] perfect [PERIOD]
friendly [AND] victorious [AND] glamorous [IMPLY] ugly [PERIOD]
ugly [AND] thoughtless [AND] worrisome [IMPLY] easy [PERIOD]
zealous [IMPLY] attentive [PERIOD]
inquisitive [IMPLY] helpful [PERIOD]
attentive [AND] shy [AND] inquisitive [IMPLY] dull [PERIOD]
cute [AND] friendly [IMPLY] ugliest [PERIOD]
thoughtless [IMPLY] versatile [PERIOD]
victorious [IMPLY] foolish [PERIOD]
glamorous [AND] straightforward [IMPLY] zealous [PERIOD]
messy [AND] adorable [AND] perfect [IMPLY] rude [PERIOD]
gorgeous [AND] thoughtless [AND] worrisome [IMPLY] powerful [PERIOD]
thoughtless [AND] gorgeous [IMPLY] inquisitive [PERIOD]
perfect [AND] attractive [AND] versatile [IMPLY] straightforward [PERIOD]
versatile [IMPLY] straightforward [PERIOD]
witty [AND] adorable [IMPLY] straightforward [PERIOD]
straightforward [AND] ugly [IMPLY] victorious [PERIOD]
inquisitive [IMPLY] dull [PERIOD]
adorable [AND] fancy [AND] perfect [IMPLY] cute [PERIOD]
gorgeous [AND] cute [IMPLY] dull [PERIOD]
dull [AND] attractive [AND] ugly [IMPLY] fancy [PERIOD]
thoughtless [AND] inquisitive [IMPLY] frightened [PERIOD]
thoughtless [AND] fancy [AND] stormy [IMPLY] selfish [PERIOD]
powerful [IMPLY] versatile [PERIOD]
foolish [AND] glamorous [IMPLY] cute [PERIOD]
witty [IMPLY] victorious [PERIOD]
foolish [IMPLY] fancy [PERIOD]
rude [AND] gorgeous [IMPLY] perfect [PERIOD]
shy [IMPLY] straightforward [PERIOD]
selfish [AND] witty [IMPLY] perfect [PERIOD]
attractive [IMPLY] friendly [PERIOD]
thoughtless [AND] inquisitive [AND] messy [IMPLY] shy [PERIOD]
helpful [AND] perfect [AND] stormy [IMPLY] frightened [PERIOD]
victorious [IMPLY] versatile [PERIOD]
selfish [AND] victorious [IMPLY] cute [PERIOD]
ugliest [IMPLY] victorious [PERIOD]
inquisitive [AND] witty [IMPLY] cute [PERIOD]
messy [AND] frightened [IMPLY] glamorous [PERIOD]
ugly [AND] attractive [AND] victorious [IMPLY] inquisitive [PERIOD]
foolish [IMPLY] attractive [PERIOD]
selfish [AND] adorable [AND] perfect [IMPLY] dull [PERIOD]
inquisitive [AND] friendly [AND] foolish [IMPLY] thoughtless [PERIOD]
foolish [IMPLY] rude [PERIOD]
attractive [AND] witty [AND] selfish [IMPLY] inquisitive [PERIOD]
versatile [IMPLY] victorious [PERIOD]
glamorous [IMPLY] stormy [PERIOD]
shy [AND] powerful [AND] straightforward [IMPLY] victorious [PERIOD]
attractive [IMPLY] ugly [PERIOD]
attentive [AND] zealous [IMPLY] selfish [PERIOD]
worrisome [AND] selfish [IMPLY] glamorous [PERIOD]
cute [AND] attractive [IMPLY] rude [PERIOD]
frightened [AND] attractive [IMPLY] versatile [PERIOD]
fancy [AND] gorgeous [AND] worrisome [IMPLY] shy [PERIOD]
helpful [IMPLY] attractive [PERIOD]
perfect [AND] versatile [IMPLY] cute [PERIOD]
powerful [IMPLY] thoughtless [PERIOD]
frightened [AND] foolish [AND] rude [IMPLY] ugly [PERIOD]
cute [AND] perfect [IMPLY] foolish [PERIOD]
messy [AND] shy [AND] attractive [IMPLY] powerful [PERIOD]
friendly [IMPLY] powerful [PERIOD]
fancy [AND] perfect [IMPLY] zealous [PERIOD]
thoughtless [AND] fancy [AND] powerful [IMPLY] attentive [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   helpful ⇒ thoughtless
   inquisitive ⇒ dull
   dull ∧ straightforward ∧ friendly ⇒ fancy
   thoughtless ∧ fancy ∧ powerful ⇒ attentive
",1,4
"Facts: 
Rules:
attentive [IMPLY] thoughtful [PERIOD]
disobedient [IMPLY] beautiful [PERIOD]
crowded [AND] attentive [AND] helpless [IMPLY] thoughtful [PERIOD]
beautiful [IMPLY] thoughtful [PERIOD]
polite [AND] thoughtful [AND] impartial [IMPLY] gifted [PERIOD]
gifted [AND] crowded [AND] easy [IMPLY] helpless [PERIOD]
thoughtful [AND] crowded [IMPLY] attentive [PERIOD]
gifted [AND] helpless [AND] polite [IMPLY] hypocritical [PERIOD]
gifted [IMPLY] attentive [PERIOD]
gifted [AND] talkative [IMPLY] attentive [PERIOD]
talkative [AND] beautiful [AND] hypocritical [IMPLY] easy [PERIOD]
helpless [IMPLY] disobedient [PERIOD]
beautiful [AND] hypocritical [IMPLY] talkative [PERIOD]
thoughtful [AND] polite [IMPLY] easy [PERIOD]
impartial [IMPLY] attentive [PERIOD]
polite [IMPLY] attentive [PERIOD]
beautiful [AND] gifted [AND] impartial [IMPLY] helpless [PERIOD]
talkative [IMPLY] thoughtful [PERIOD]
disobedient [IMPLY] polite [PERIOD]
disobedient [AND] attentive [AND] easy [IMPLY] impartial [PERIOD]
thoughtful [AND] crowded [IMPLY] easy [PERIOD]
crowded [IMPLY] attentive [PERIOD]
easy [IMPLY] thoughtful [PERIOD]
hypocritical [AND] thoughtful [AND] beautiful [IMPLY] polite [PERIOD]
polite [AND] attentive [AND] easy [IMPLY] crowded [PERIOD]
attentive [AND] helpless [IMPLY] hypocritical [PERIOD]
disobedient [IMPLY] easy [PERIOD]
polite [AND] helpless [IMPLY] crowded [PERIOD]
impartial [IMPLY] talkative [PERIOD]
beautiful [IMPLY] polite [PERIOD]
crowded [AND] disobedient [AND] beautiful [IMPLY] polite [PERIOD]
helpless [AND] talkative [IMPLY] crowded [PERIOD]
disobedient [AND] thoughtful [AND] attentive [IMPLY] easy [PERIOD]
helpless [AND] thoughtful [AND] gifted [IMPLY] disobedient [PERIOD]
beautiful [AND] gifted [IMPLY] polite [PERIOD]
hypocritical [IMPLY] disobedient [PERIOD]
gifted [AND] attentive [AND] easy [IMPLY] talkative [PERIOD]
crowded [AND] polite [AND] talkative [IMPLY] gifted [PERIOD]
polite [IMPLY] impartial [PERIOD]
gifted [AND] hypocritical [AND] thoughtful [IMPLY] disobedient [PERIOD]
crowded [AND] hypocritical [AND] polite [IMPLY] talkative [PERIOD]
easy [AND] beautiful [AND] attentive [IMPLY] thoughtful [PERIOD]
attentive [AND] beautiful [AND] crowded [IMPLY] helpless [PERIOD]
disobedient [AND] beautiful [IMPLY] thoughtful [PERIOD]
easy [AND] beautiful [IMPLY] gifted [PERIOD]
helpless [IMPLY] polite [PERIOD]
polite [AND] disobedient [AND] hypocritical [IMPLY] gifted [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   Cannot apply rule “helpless ⇒ disobedient” because missing: helpless.
   Cannot apply rule “helpless ∧ thoughtful ∧ gifted ⇒ disobedient” because missing: helpless, thoughtful, gifted.
   Cannot apply rule “hypocritical ⇒ disobedient” because missing: hypocritical.
   Cannot apply rule “gifted ∧ hypocritical ∧ thoughtful ⇒ disobedient” because missing: gifted, hypocritical, thoughtful.
",0,4
"Facts:  Alice is bossy [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
beautiful [AND] talented [AND] gifted [IMPLY] rational [PERIOD]
agreeable [AND] bored [AND] shiny [IMPLY] rational [PERIOD]
disobedient [IMPLY] tidy [PERIOD]
old-fashioned [IMPLY] gifted [PERIOD]
talented [IMPLY] beautiful [PERIOD]
disobedient [AND] beautiful [AND] modern [IMPLY] gifted [PERIOD]
zealous [AND] agreeable [AND] tidy [IMPLY] gifted [PERIOD]
disobedient [AND] bossy [IMPLY] modern [PERIOD]
talented [AND] rude [AND] bored [IMPLY] bossy [PERIOD]
bossy [AND] hurt [IMPLY] zealous [PERIOD]
alert [AND] old-fashioned [AND] bored [IMPLY] tidy [PERIOD]
hurt [IMPLY] talented [PERIOD]
rational [AND] bossy [IMPLY] thoughtful [PERIOD]
rational [IMPLY] disobedient [PERIOD]
alert [AND] bossy [AND] gifted [IMPLY] modern [PERIOD]
beautiful [IMPLY] talented [PERIOD]
embarrassed [AND] disobedient [IMPLY] bossy [PERIOD]
tidy [IMPLY] rude [PERIOD]
unpleasant [AND] zealous [AND] hurt [IMPLY] gifted [PERIOD]
tidy [AND] talented [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] zealous [PERIOD]
tidy [AND] talented [IMPLY] disobedient [PERIOD]
old-fashioned [AND] rude [AND] disobedient [IMPLY] rational [PERIOD]
alert [AND] unpleasant [AND] rational [IMPLY] embarrassed [PERIOD]
rational [IMPLY] bossy [PERIOD]
modern [IMPLY] beautiful [PERIOD]
alert [AND] thoughtful [AND] unpleasant [IMPLY] embarrassed [PERIOD]
beautiful [IMPLY] thoughtful [PERIOD]
alert [IMPLY] gifted [PERIOD]
alert [AND] bored [IMPLY] talented [PERIOD]
alert [AND] disobedient [IMPLY] tidy [PERIOD]
rude [AND] agreeable [AND] tidy [IMPLY] rational [PERIOD]
tidy [AND] beautiful [AND] hurt [IMPLY] shiny [PERIOD]
alert [IMPLY] talented [PERIOD]
old-fashioned [AND] agreeable [AND] beautiful [IMPLY] bossy [PERIOD]
beautiful [IMPLY] modern [PERIOD]
disobedient [AND] old-fashioned [AND] rational [IMPLY] beautiful [PERIOD]
rational [AND] talented [AND] modern [IMPLY] beautiful [PERIOD]
gifted [AND] beautiful [AND] rational [IMPLY] embarrassed [PERIOD]
rude [AND] old-fashioned [IMPLY] zealous [PERIOD]
thoughtful [IMPLY] tidy [PERIOD]
agreeable [AND] zealous [AND] disobedient [IMPLY] old-fashioned [PERIOD]
gifted [IMPLY] unpleasant [PERIOD]
old-fashioned [IMPLY] zealous [PERIOD]
rational [IMPLY] beautiful [PERIOD]
tidy [IMPLY] bored [PERIOD]
alert [AND] disobedient [AND] shiny [IMPLY] beautiful [PERIOD]
tidy [IMPLY] embarrassed [PERIOD]
shiny [AND] bossy [IMPLY] talented [PERIOD]
beautiful [IMPLY] old-fashioned [PERIOD]
unpleasant [AND] beautiful [IMPLY] agreeable [PERIOD]
alert [AND] embarrassed [AND] beautiful [IMPLY] zealous [PERIOD]
embarrassed [IMPLY] agreeable [PERIOD]
modern [IMPLY] embarrassed [PERIOD]
thoughtful [IMPLY] alert [PERIOD]
beautiful [AND] thoughtful [IMPLY] embarrassed [PERIOD]
zealous [AND] thoughtful [IMPLY] modern [PERIOD]
thoughtful [AND] disobedient [IMPLY] shiny [PERIOD]
embarrassed [AND] talented [IMPLY] rational [PERIOD]
zealous [IMPLY] hurt [PERIOD]
thoughtful [AND] alert [IMPLY] modern [PERIOD]
talented [AND] embarrassed [IMPLY] beautiful [PERIOD]
hurt [AND] unpleasant [IMPLY] alert [PERIOD]
rational [IMPLY] gifted [PERIOD]
shiny [AND] rational [IMPLY] talented [PERIOD]
hurt [IMPLY] disobedient [PERIOD]
bossy [IMPLY] embarrassed [PERIOD]
unpleasant [AND] gifted [AND] rude [IMPLY] hurt [PERIOD]
zealous [IMPLY] unpleasant [PERIOD]
old-fashioned [AND] thoughtful [IMPLY] hurt [PERIOD]
modern [AND] thoughtful [AND] tidy [IMPLY] embarrassed [PERIOD]
rational [IMPLY] hurt [PERIOD]
bossy [IMPLY] tidy [PERIOD]
hurt [AND] old-fashioned [AND] alert [IMPLY] modern [PERIOD]
embarrassed [IMPLY] thoughtful [PERIOD]
disobedient [AND] embarrassed [IMPLY] thoughtful [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   old-fashioned ⇒ zealous
   bossy ⇒ embarrassed
   embarrassed ⇒ thoughtful
   zealous ∧ thoughtful ⇒ modern
   modern ⇒ beautiful
",1,5
"Facts:  Alice is stupid [PERIOD]
Rules:
stupid [AND] dishonest [AND] sleepy [IMPLY] amused [PERIOD]
polite [AND] careless [IMPLY] tired [PERIOD]
silly [AND] scared [IMPLY] dishonest [PERIOD]
rational [AND] dishonest [IMPLY] ugliest [PERIOD]
sleepy [AND] tired [IMPLY] dishonest [PERIOD]
fine [AND] pessimistic [IMPLY] polite [PERIOD]
straightforward [IMPLY] helpless [PERIOD]
cute [IMPLY] rational [PERIOD]
ugliest [AND] helpless [IMPLY] victorious [PERIOD]
spotless [AND] helpless [AND] pessimistic [IMPLY] careless [PERIOD]
exuberant [AND] straightforward [IMPLY] tired [PERIOD]
straightforward [AND] stupid [AND] tired [IMPLY] scared [PERIOD]
ugliest [AND] unpleasant [AND] troubled [IMPLY] victorious [PERIOD]
sleepy [AND] rational [AND] cute [IMPLY] ugliest [PERIOD]
dishonest [AND] stupid [AND] rational [IMPLY] victorious [PERIOD]
troubled [AND] silly [AND] helpless [IMPLY] amused [PERIOD]
spotless [IMPLY] exuberant [PERIOD]
rational [AND] pessimistic [AND] unpleasant [IMPLY] spotless [PERIOD]
amused [IMPLY] victorious [PERIOD]
polite [AND] victorious [IMPLY] helpless [PERIOD]
scared [AND] rational [IMPLY] fine [PERIOD]
amused [IMPLY] stupid [PERIOD]
scared [AND] cute [IMPLY] straightforward [PERIOD]
sleepy [AND] polite [AND] victorious [IMPLY] unpleasant [PERIOD]
scared [IMPLY] stupid [PERIOD]
troubled [AND] amused [IMPLY] careless [PERIOD]
helpless [AND] dishonest [IMPLY] amused [PERIOD]
troubled [AND] scared [IMPLY] stupid [PERIOD]
rational [IMPLY] pessimistic [PERIOD]
victorious [AND] tired [IMPLY] careless [PERIOD]
helpless [IMPLY] exuberant [PERIOD]
pessimistic [AND] helpless [AND] amused [IMPLY] ugliest [PERIOD]
sleepy [AND] silly [IMPLY] cute [PERIOD]
fine [AND] scared [AND] careless [IMPLY] helpless [PERIOD]
ugliest [AND] dishonest [IMPLY] rational [PERIOD]
scared [AND] victorious [AND] cute [IMPLY] troubled [PERIOD]
troubled [IMPLY] pessimistic [PERIOD]
troubled [AND] helpless [IMPLY] careless [PERIOD]
spotless [IMPLY] stupid [PERIOD]
scared [AND] exuberant [IMPLY] unpleasant [PERIOD]
silly [AND] pessimistic [AND] tired [IMPLY] stupid [PERIOD]
stupid [AND] exuberant [IMPLY] sleepy [PERIOD]
victorious [AND] polite [AND] exuberant [IMPLY] silly [PERIOD]
spotless [IMPLY] helpless [PERIOD]
sleepy [IMPLY] unpleasant [PERIOD]
helpless [IMPLY] rational [PERIOD]
helpless [AND] cute [AND] sleepy [IMPLY] dishonest [PERIOD]
pessimistic [AND] fine [IMPLY] dishonest [PERIOD]
fine [AND] tired [AND] sleepy [IMPLY] victorious [PERIOD]
polite [AND] exuberant [AND] spotless [IMPLY] sleepy [PERIOD]
ugliest [AND] pessimistic [IMPLY] sleepy [PERIOD]
spotless [AND] straightforward [AND] helpless [IMPLY] victorious [PERIOD]
polite [AND] stupid [IMPLY] exuberant [PERIOD]
helpless [AND] rational [AND] fine [IMPLY] amused [PERIOD]
rational [AND] ugliest [AND] fine [IMPLY] cute [PERIOD]
sleepy [AND] exuberant [IMPLY] helpless [PERIOD]
exuberant [AND] troubled [IMPLY] fine [PERIOD]
amused [AND] silly [AND] pessimistic [IMPLY] spotless [PERIOD]
polite [AND] cute [IMPLY] rational [PERIOD]
troubled [AND] pessimistic [IMPLY] silly [PERIOD]
spotless [AND] fine [IMPLY] silly [PERIOD]
stupid [IMPLY] exuberant [PERIOD]
careless [AND] tired [IMPLY] troubled [PERIOD]
cute [AND] straightforward [AND] stupid [IMPLY] troubled [PERIOD]
scared [IMPLY] ugliest [PERIOD]
polite [AND] tired [IMPLY] silly [PERIOD]
troubled [AND] straightforward [AND] cute [IMPLY] exuberant [PERIOD]
amused [AND] pessimistic [AND] fine [IMPLY] ugliest [PERIOD]
rational [IMPLY] careless [PERIOD]
careless [AND] rational [AND] dishonest [IMPLY] pessimistic [PERIOD]
straightforward [IMPLY] scared [PERIOD]
polite [AND] pessimistic [AND] exuberant [IMPLY] amused [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   stupid ⇒ exuberant
   stupid ∧ exuberant ⇒ sleepy
   stupid ⇒ exuberant
   sleepy ∧ exuberant ⇒ helpless
   helpless ⇒ rational
   rational ⇒ pessimistic
   Cannot apply rule “fine ∧ pessimistic ⇒ polite” because missing: fine.
",0,7
"Facts:  Alice is zealous [PERIOD] Alice is hypocritical [PERIOD]
Rules:
helpful [AND] ambitious [AND] inquisitive [IMPLY] fancy [PERIOD]
inquisitive [AND] hypocritical [AND] fancy [IMPLY] worried [PERIOD]
ambitious [IMPLY] homely [PERIOD]
ambitious [IMPLY] worried [PERIOD]
hypocritical [AND] inquisitive [AND] homely [IMPLY] zealous [PERIOD]
zealous [IMPLY] ambitious [PERIOD]
worried [IMPLY] homely [PERIOD]
homely [IMPLY] helpful [PERIOD]
hypocritical [IMPLY] ambitious [PERIOD]
worried [AND] homely [AND] zealous [IMPLY] hypocritical [PERIOD]
fancy [AND] homely [AND] worried [IMPLY] inquisitive [PERIOD]
ambitious [AND] zealous [IMPLY] homely [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   hypocritical ⇒ ambitious
   ambitious ⇒ homely
   homely ⇒ helpful
   hypocritical ⇒ ambitious
   Cannot apply rule “helpful ∧ ambitious ∧ inquisitive ⇒ fancy” because missing: inquisitive.
",0,5
"Facts: 
Rules:
friendly [AND] distinct [AND] messy [IMPLY] helpful [PERIOD]
courageous [AND] grumpy [AND] supportive [IMPLY] alert [PERIOD]
dull [AND] curious [AND] impartial [IMPLY] supportive [PERIOD]
impartial [AND] calm [IMPLY] excited [PERIOD]
friendly [AND] victorious [AND] thoughtless [IMPLY] bossy [PERIOD]
diplomatic [AND] hypocritical [AND] sincere [IMPLY] grumpy [PERIOD]
long [IMPLY] courageous [PERIOD]
ambitious [AND] alert [AND] cute [IMPLY] friendly [PERIOD]
disgusted [IMPLY] intellectual [PERIOD]
supportive [AND] dull [IMPLY] long [PERIOD]
distinct [AND] alert [IMPLY] frantic [PERIOD]
ambitious [IMPLY] calm [PERIOD]
careless [AND] helpful [IMPLY] diplomatic [PERIOD]
dull [IMPLY] ambitious [PERIOD]
thoughtless [AND] dull [IMPLY] hypocritical [PERIOD]
curious [IMPLY] excited [PERIOD]
excited [AND] thoughtless [AND] disgusted [IMPLY] impartial [PERIOD]
friendly [AND] dull [AND] diplomatic [IMPLY] victorious [PERIOD]
intellectual [AND] courageous [AND] grumpy [IMPLY] messy [PERIOD]
impartial [AND] long [IMPLY] disgusted [PERIOD]
embarrassed [AND] tame [AND] calm [IMPLY] disgusted [PERIOD]
messy [AND] alert [IMPLY] ambitious [PERIOD]
careless [AND] helpful [IMPLY] victorious [PERIOD]
alert [AND] friendly [IMPLY] supportive [PERIOD]
excited [IMPLY] careless [PERIOD]
thoughtless [AND] embarrassed [AND] distinct [IMPLY] sincere [PERIOD]
embarrassed [AND] amused [AND] curious [IMPLY] hypocritical [PERIOD]
cute [AND] grumpy [AND] messy [IMPLY] ambitious [PERIOD]
bossy [AND] diplomatic [AND] tame [IMPLY] cute [PERIOD]
helpful [AND] impartial [AND] ambitious [IMPLY] calm [PERIOD]
hypocritical [IMPLY] friendly [PERIOD]
long [IMPLY] embarrassed [PERIOD]
victorious [IMPLY] calm [PERIOD]
careless [IMPLY] helpful [PERIOD]
embarrassed [AND] amused [IMPLY] sincere [PERIOD]
supportive [IMPLY] disgusted [PERIOD]
ambitious [AND] diplomatic [IMPLY] bossy [PERIOD]
cute [AND] thoughtless [AND] tame [IMPLY] long [PERIOD]
disgusted [AND] dull [IMPLY] hypocritical [PERIOD]
calm [AND] frantic [IMPLY] disgusted [PERIOD]
embarrassed [IMPLY] supportive [PERIOD]
careless [IMPLY] intellectual [PERIOD]
dull [AND] excited [IMPLY] helpful [PERIOD]
alert [AND] messy [IMPLY] careless [PERIOD]
messy [AND] curious [AND] cute [IMPLY] impartial [PERIOD]
distinct [AND] frantic [IMPLY] embarrassed [PERIOD]
careless [IMPLY] thoughtless [PERIOD]
grumpy [IMPLY] frantic [PERIOD]
frantic [IMPLY] sincere [PERIOD]
ambitious [AND] careless [IMPLY] distinct [PERIOD]
sincere [AND] dull [AND] thoughtless [IMPLY] hypocritical [PERIOD]
ambitious [IMPLY] sincere [PERIOD]
supportive [AND] victorious [AND] amused [IMPLY] sincere [PERIOD]
disgusted [IMPLY] calm [PERIOD]
amused [AND] distinct [AND] dull [IMPLY] impartial [PERIOD]
long [AND] friendly [IMPLY] embarrassed [PERIOD]
helpful [AND] distinct [IMPLY] grumpy [PERIOD]
tame [IMPLY] bossy [PERIOD]
victorious [IMPLY] friendly [PERIOD]
impartial [IMPLY] dull [PERIOD]
supportive [AND] calm [IMPLY] sincere [PERIOD]
hypocritical [AND] supportive [AND] victorious [IMPLY] messy [PERIOD]
hypocritical [IMPLY] thoughtless [PERIOD]
cute [AND] grumpy [AND] alert [IMPLY] intellectual [PERIOD]
messy [AND] intellectual [IMPLY] careless [PERIOD]
victorious [AND] amused [IMPLY] excited [PERIOD]
embarrassed [AND] victorious [IMPLY] amused [PERIOD]
intellectual [IMPLY] ambitious [PERIOD]
calm [AND] impartial [AND] intellectual [IMPLY] victorious [PERIOD]
distinct [IMPLY] diplomatic [PERIOD]
messy [AND] distinct [AND] diplomatic [IMPLY] grumpy [PERIOD]
victorious [IMPLY] distinct [PERIOD]
bossy [AND] thoughtless [AND] helpful [IMPLY] ambitious [PERIOD]
embarrassed [IMPLY] long [PERIOD]
victorious [AND] diplomatic [AND] excited [IMPLY] bossy [PERIOD]
courageous [AND] amused [IMPLY] friendly [PERIOD]
diplomatic [AND] intellectual [IMPLY] careless [PERIOD]
helpful [IMPLY] diplomatic [PERIOD]
careless [AND] grumpy [IMPLY] sincere [PERIOD]
friendly [AND] diplomatic [AND] ambitious [IMPLY] bossy [PERIOD]
intellectual [AND] calm [IMPLY] victorious [PERIOD]
alert [AND] curious [IMPLY] disgusted [PERIOD]
supportive [IMPLY] thoughtless [PERIOD]
calm [AND] careless [IMPLY] friendly [PERIOD]
messy [AND] hypocritical [AND] alert [IMPLY] supportive [PERIOD]
messy [AND] victorious [AND] bossy [IMPLY] dull [PERIOD]
amused [AND] bossy [IMPLY] impartial [PERIOD]
amused [AND] bossy [AND] hypocritical [IMPLY] courageous [PERIOD]
embarrassed [AND] disgusted [IMPLY] ambitious [PERIOD]
courageous [AND] hypocritical [AND] ambitious [IMPLY] dull [PERIOD]
ambitious [AND] impartial [AND] disgusted [IMPLY] grumpy [PERIOD]
ambitious [AND] grumpy [AND] diplomatic [IMPLY] helpful [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   Cannot apply rule “thoughtless ∧ embarrassed ∧ distinct ⇒ sincere” because missing: thoughtless, embarrassed, distinct.
   Cannot apply rule “embarrassed ∧ amused ⇒ sincere” because missing: embarrassed, amused.
   Cannot apply rule “frantic ⇒ sincere” because missing: frantic.
   Cannot apply rule “ambitious ⇒ sincere” because missing: ambitious.
   Cannot apply rule “supportive ∧ victorious ∧ amused ⇒ sincere” because missing: supportive, victorious, amused.
   Cannot apply rule “supportive ∧ calm ⇒ sincere” because missing: supportive, calm.
   Cannot apply rule “careless ∧ grumpy ⇒ sincere” because missing: careless, grumpy.
",0,7
"Facts:  Alice is outstanding [PERIOD]
Rules:
outstanding [AND] calm [IMPLY] bad-tempered [PERIOD]
thoughtless [IMPLY] helpless [PERIOD]
homely [AND] bad-tempered [IMPLY] frail [PERIOD]
wrong [AND] tense [AND] tired [IMPLY] precious [PERIOD]
outstanding [IMPLY] cute [PERIOD]
bad-tempered [AND] thoughtless [AND] victorious [IMPLY] uptight [PERIOD]
glamorous [AND] homely [AND] uptight [IMPLY] zealous [PERIOD]
impatient [AND] impartial [AND] tense [IMPLY] strange [PERIOD]
bad-tempered [AND] shiny [IMPLY] alert [PERIOD]
glamorous [AND] bad-tempered [IMPLY] tense [PERIOD]
cute [AND] cruel [IMPLY] thoughtless [PERIOD]
impatient [IMPLY] tired [PERIOD]
cute [IMPLY] thoughtless [PERIOD]
precious [AND] tense [IMPLY] straightforward [PERIOD]
victorious [AND] polite [AND] tense [IMPLY] uptight [PERIOD]
precious [AND] cute [AND] strange [IMPLY] helpless [PERIOD]
calm [AND] wrong [AND] helpful [IMPLY] tired [PERIOD]
frail [AND] adorable [IMPLY] reserved [PERIOD]
helpless [AND] alert [IMPLY] calm [PERIOD]
helpless [AND] alert [IMPLY] impatient [PERIOD]
alert [IMPLY] adorable [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   outstanding ⇒ cute
   cute ⇒ thoughtless
   thoughtless ⇒ helpless
   Cannot apply rule “helpless ∧ alert ⇒ impatient” because missing: alert.
",0,4
"Facts:  Alice is bossy [PERIOD] Alice is bright [PERIOD] Alice is worrisome [PERIOD] Alice is victorious [PERIOD] Alice is wandering [PERIOD] Alice is fancy [PERIOD] Alice is perfect [PERIOD] Alice is rational [PERIOD] Alice is fearless [PERIOD] Alice is grumpy [PERIOD] Alice is thoughtful [PERIOD] Alice is versatile [PERIOD] Alice is witty [PERIOD] Alice is enchanting [PERIOD] Alice is frightened [PERIOD] Alice is frantic [PERIOD] Alice is broad-minded [PERIOD]
Rules:
bright [AND] frightened [IMPLY] fancy [PERIOD]
frantic [IMPLY] enchanting [PERIOD]
perfect [AND] bossy [AND] wandering [IMPLY] jittery [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   No rule concludes “shiny.”
",0,1
"Facts:  Alice is bad-tempered [PERIOD] Alice is polite [PERIOD]
Rules:
polite [IMPLY] outstanding [PERIOD]
mean [AND] light [IMPLY] bad-tempered [PERIOD]
mean [IMPLY] talented [PERIOD]
embarrassed [IMPLY] polite [PERIOD]
bad-tempered [IMPLY] polite [PERIOD]
light [AND] mean [AND] clean [IMPLY] bad-tempered [PERIOD]
light [AND] elated [AND] outstanding [IMPLY] famous [PERIOD]
mean [AND] outstanding [AND] clean [IMPLY] innocent [PERIOD]
mean [AND] outstanding [IMPLY] light [PERIOD]
elated [AND] talented [IMPLY] light [PERIOD]
mean [AND] bad-tempered [IMPLY] talented [PERIOD]
innocent [AND] elated [IMPLY] polite [PERIOD]
outstanding [AND] light [IMPLY] famous [PERIOD]
embarrassed [AND] polite [AND] innocent [IMPLY] bad-tempered [PERIOD]
elated [AND] embarrassed [IMPLY] outstanding [PERIOD]
light [AND] innocent [IMPLY] outstanding [PERIOD]
polite [AND] talented [IMPLY] mean [PERIOD]
elated [AND] talented [IMPLY] bad-tempered [PERIOD]
polite [IMPLY] clean [PERIOD]
outstanding [AND] bad-tempered [AND] talented [IMPLY] famous [PERIOD]
embarrassed [AND] polite [IMPLY] talented [PERIOD]
famous [AND] clean [IMPLY] elated [PERIOD]
mean [AND] talented [AND] clean [IMPLY] bad-tempered [PERIOD]
polite [AND] light [IMPLY] embarrassed [PERIOD]
light [IMPLY] talented [PERIOD]
innocent [AND] famous [IMPLY] outstanding [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   polite ⇒ outstanding
   Cannot apply rule “light ∧ elated ∧ outstanding ⇒ famous” because missing: light, elated.
   polite ⇒ outstanding
   Cannot apply rule “outstanding ∧ light ⇒ famous” because missing: light.
   polite ⇒ outstanding
   Cannot apply rule “outstanding ∧ bad-tempered ∧ talented ⇒ famous” because missing: talented.
",0,6
"Facts:  Alice is uptight [PERIOD] Alice is wide-eyed [PERIOD]
Rules:
proud [IMPLY] versatile [PERIOD]
famous [AND] agreeable [AND] comfortable [IMPLY] glamorous [PERIOD]
intellectual [AND] uptight [IMPLY] glamorous [PERIOD]
ugly [AND] famous [AND] proud [IMPLY] quaint [PERIOD]
ugly [AND] versatile [IMPLY] quaint [PERIOD]
courageous [IMPLY] versatile [PERIOD]
bossy [AND] intellectual [IMPLY] shy [PERIOD]
uptight [AND] courageous [AND] powerful [IMPLY] serious [PERIOD]
famous [AND] shy [AND] long [IMPLY] intellectual [PERIOD]
troubled [IMPLY] courageous [PERIOD]
long [AND] proud [AND] versatile [IMPLY] intellectual [PERIOD]
troubled [IMPLY] shy [PERIOD]
agreeable [AND] wide-eyed [IMPLY] serious [PERIOD]
bossy [AND] stormy [AND] comfortable [IMPLY] glamorous [PERIOD]
comfortable [AND] famous [AND] serious [IMPLY] proud [PERIOD]
intellectual [IMPLY] stormy [PERIOD]
famous [AND] serious [IMPLY] courageous [PERIOD]
bossy [AND] proud [IMPLY] versatile [PERIOD]
shy [AND] famous [AND] bossy [IMPLY] versatile [PERIOD]
powerful [AND] comfortable [IMPLY] ugly [PERIOD]
stormy [AND] serious [AND] versatile [IMPLY] uptight [PERIOD]
glamorous [AND] shy [IMPLY] long [PERIOD]
intellectual [AND] comfortable [AND] quaint [IMPLY] long [PERIOD]
stormy [AND] wide-eyed [AND] comfortable [IMPLY] famous [PERIOD]
ugly [IMPLY] stormy [PERIOD]
serious [IMPLY] uptight [PERIOD]
glamorous [IMPLY] troubled [PERIOD]
wide-eyed [AND] stormy [IMPLY] glamorous [PERIOD]
proud [AND] bossy [AND] versatile [IMPLY] serious [PERIOD]
comfortable [IMPLY] shy [PERIOD]
serious [AND] long [AND] uptight [IMPLY] shy [PERIOD]
uptight [IMPLY] serious [PERIOD]
quaint [IMPLY] ugly [PERIOD]
powerful [IMPLY] quaint [PERIOD]
proud [IMPLY] powerful [PERIOD]
glamorous [AND] courageous [AND] ugly [IMPLY] long [PERIOD]
bossy [IMPLY] serious [PERIOD]
stormy [AND] glamorous [IMPLY] bossy [PERIOD]
proud [IMPLY] agreeable [PERIOD]
troubled [AND] proud [IMPLY] ugly [PERIOD]
wide-eyed [IMPLY] versatile [PERIOD]
troubled [AND] wide-eyed [IMPLY] comfortable [PERIOD]
uptight [IMPLY] glamorous [PERIOD]
powerful [AND] shy [IMPLY] proud [PERIOD]
versatile [AND] courageous [AND] agreeable [IMPLY] intellectual [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   uptight ⇒ glamorous
   glamorous ⇒ troubled
   troubled ⇒ courageous
",1,3
"Facts:  Alice is inquisitive [PERIOD] Alice is worrisome [PERIOD] Alice is shy [PERIOD] Alice is jittery [PERIOD] Alice is fine [PERIOD] Alice is pessimistic [PERIOD] Alice is uptight [PERIOD]
Rules:
uptight [AND] light [IMPLY] strange [PERIOD]
foolish [AND] calm [IMPLY] horrible [PERIOD]
shy [IMPLY] cute [PERIOD]
shiny [IMPLY] cute [PERIOD]
crowded [AND] worried [IMPLY] foolish [PERIOD]
outrageous [AND] inquisitive [IMPLY] strange [PERIOD]
worried [IMPLY] strange [PERIOD]
easy [IMPLY] crowded [PERIOD]
easy [AND] fine [AND] jittery [IMPLY] outrageous [PERIOD]
tender [AND] light [AND] easy [IMPLY] worrisome [PERIOD]
impatient [AND] shiny [AND] horrible [IMPLY] cute [PERIOD]
inquisitive [AND] crowded [IMPLY] worried [PERIOD]
different [IMPLY] lonely [PERIOD]
stormy [AND] calm [IMPLY] reserved [PERIOD]
stormy [AND] foolish [AND] outrageous [IMPLY] cooperative [PERIOD]
light [IMPLY] reserved [PERIOD]
worried [IMPLY] jittery [PERIOD]
shy [IMPLY] worrisome [PERIOD]
tender [AND] uptight [IMPLY] horrible [PERIOD]
inquisitive [AND] pessimistic [AND] uptight [IMPLY] cute [PERIOD]
shy [AND] inquisitive [AND] broad-minded [IMPLY] light [PERIOD]
inquisitive [IMPLY] comfortable [PERIOD]
shiny [AND] tender [AND] strange [IMPLY] worried [PERIOD]
foolish [AND] uptight [AND] cooperative [IMPLY] cute [PERIOD]
easy [AND] stormy [IMPLY] light [PERIOD]
jittery [IMPLY] shy [PERIOD]
calm [AND] outrageous [IMPLY] pessimistic [PERIOD]
foolish [AND] strange [IMPLY] mysterious [PERIOD]
lonely [AND] comfortable [IMPLY] foolish [PERIOD]
reserved [AND] shy [IMPLY] broad-minded [PERIOD]
pessimistic [IMPLY] stormy [PERIOD]
fine [IMPLY] crowded [PERIOD]
strange [AND] stormy [IMPLY] comfortable [PERIOD]
pessimistic [AND] easy [AND] foolish [IMPLY] reserved [PERIOD]
foolish [AND] pessimistic [IMPLY] broad-minded [PERIOD]
outrageous [AND] shiny [AND] easy [IMPLY] cute [PERIOD]
different [AND] jittery [AND] foolish [IMPLY] cute [PERIOD]
stormy [AND] shy [AND] light [IMPLY] worrisome [PERIOD]
worried [AND] fine [IMPLY] stormy [PERIOD]
shy [AND] calm [AND] stormy [IMPLY] outrageous [PERIOD]
strange [AND] broad-minded [IMPLY] horrible [PERIOD]
jittery [AND] pessimistic [IMPLY] different [PERIOD]
lonely [IMPLY] horrible [PERIOD]
mysterious [AND] cute [IMPLY] impatient [PERIOD]
pessimistic [AND] mysterious [IMPLY] stormy [PERIOD]
broad-minded [AND] cute [IMPLY] light [PERIOD]
calm [IMPLY] shiny [PERIOD]
uptight [IMPLY] tender [PERIOD]
mysterious [IMPLY] horrible [PERIOD]
crowded [AND] reserved [IMPLY] impatient [PERIOD]
cooperative [IMPLY] horrible [PERIOD]
pessimistic [AND] broad-minded [AND] stormy [IMPLY] mysterious [PERIOD]
crowded [IMPLY] jittery [PERIOD]
impatient [AND] worrisome [AND] different [IMPLY] cooperative [PERIOD]
worried [AND] tender [IMPLY] cooperative [PERIOD]
cute [AND] easy [IMPLY] comfortable [PERIOD]
reserved [AND] cooperative [IMPLY] shy [PERIOD]
horrible [AND] shiny [IMPLY] strange [PERIOD]
broad-minded [AND] horrible [IMPLY] fine [PERIOD]
worrisome [AND] broad-minded [IMPLY] shiny [PERIOD]
tender [IMPLY] worried [PERIOD]
easy [AND] pessimistic [IMPLY] lonely [PERIOD]
worrisome [AND] tender [AND] pessimistic [IMPLY] reserved [PERIOD]
calm [AND] shy [IMPLY] comfortable [PERIOD]
uptight [AND] broad-minded [AND] calm [IMPLY] mysterious [PERIOD]
stormy [AND] light [AND] foolish [IMPLY] crowded [PERIOD]
cute [IMPLY] uptight [PERIOD]
jittery [AND] strange [IMPLY] easy [PERIOD]
lonely [IMPLY] uptight [PERIOD]
inquisitive [AND] worrisome [IMPLY] crowded [PERIOD]
foolish [AND] horrible [AND] mysterious [IMPLY] broad-minded [PERIOD]
worrisome [AND] light [IMPLY] comfortable [PERIOD]
outrageous [AND] shy [IMPLY] horrible [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   uptight ⇒ tender
   worrisome ∧ tender ∧ pessimistic ⇒ reserved
   reserved ∧ shy ⇒ broad-minded
",1,3
"Facts:  Alice is frightened [PERIOD] Alice is amused [PERIOD] Alice is average [PERIOD] Alice is modern [PERIOD] Alice is jittery [PERIOD] Alice is stubborn [PERIOD]
Rules:
agreeable [IMPLY] outrageous [PERIOD]
bright [AND] thoughtful [AND] calm [IMPLY] frightened [PERIOD]
amused [IMPLY] stubborn [PERIOD]
tense [AND] jittery [IMPLY] glamorous [PERIOD]
supportive [AND] foolish [IMPLY] courageous [PERIOD]
joyous [AND] unpleasant [AND] agreeable [IMPLY] distinct [PERIOD]
glamorous [AND] stubborn [IMPLY] frightened [PERIOD]
calm [IMPLY] agreeable [PERIOD]
courageous [AND] outrageous [AND] foolish [IMPLY] mysterious [PERIOD]
joyous [IMPLY] courageous [PERIOD]
agreeable [AND] attractive [AND] disgusted [IMPLY] jittery [PERIOD]
outrageous [IMPLY] supportive [PERIOD]
spotless [AND] friendly [IMPLY] disgusted [PERIOD]
glamorous [AND] distinct [IMPLY] curious [PERIOD]
joyous [AND] friendly [AND] frightened [IMPLY] disgusted [PERIOD]
stubborn [IMPLY] jittery [PERIOD]
attractive [IMPLY] joyous [PERIOD]
foolish [AND] joyous [IMPLY] distinct [PERIOD]
hilarious [AND] modern [AND] jittery [IMPLY] attractive [PERIOD]
supportive [AND] modern [IMPLY] stubborn [PERIOD]
agreeable [AND] tense [IMPLY] attractive [PERIOD]
average [AND] glamorous [IMPLY] attractive [PERIOD]
friendly [IMPLY] curious [PERIOD]
jittery [AND] courageous [AND] curious [IMPLY] joyous [PERIOD]
unpleasant [AND] bright [IMPLY] amused [PERIOD]
frightened [AND] disgusted [IMPLY] curious [PERIOD]
glamorous [IMPLY] mysterious [PERIOD]
unpleasant [AND] disgusted [IMPLY] glamorous [PERIOD]
calm [AND] mysterious [IMPLY] spotless [PERIOD]
agreeable [AND] thoughtful [IMPLY] supportive [PERIOD]
attractive [AND] thoughtful [AND] courageous [IMPLY] bright [PERIOD]
unpleasant [AND] stubborn [IMPLY] attractive [PERIOD]
tense [AND] stubborn [AND] frightened [IMPLY] curious [PERIOD]
stubborn [AND] average [IMPLY] friendly [PERIOD]
bright [AND] jittery [AND] thoughtful [IMPLY] frightened [PERIOD]
modern [AND] average [IMPLY] thoughtful [PERIOD]
mysterious [AND] thoughtful [IMPLY] average [PERIOD]
hilarious [AND] jittery [IMPLY] outrageous [PERIOD]
curious [IMPLY] distinct [PERIOD]
supportive [IMPLY] average [PERIOD]
joyous [AND] distinct [AND] stubborn [IMPLY] courageous [PERIOD]
disgusted [AND] stubborn [AND] foolish [IMPLY] courageous [PERIOD]
thoughtful [IMPLY] amused [PERIOD]
modern [IMPLY] supportive [PERIOD]
stubborn [IMPLY] average [PERIOD]
friendly [AND] distinct [IMPLY] mysterious [PERIOD]
foolish [AND] friendly [AND] amused [IMPLY] frightened [PERIOD]
jittery [AND] modern [IMPLY] calm [PERIOD]
foolish [IMPLY] glamorous [PERIOD]
unpleasant [IMPLY] diplomatic [PERIOD]
thoughtful [AND] bright [IMPLY] supportive [PERIOD]
modern [AND] friendly [IMPLY] glamorous [PERIOD]
disgusted [AND] glamorous [AND] attractive [IMPLY] curious [PERIOD]
supportive [IMPLY] foolish [PERIOD]
calm [IMPLY] spotless [PERIOD]
diplomatic [AND] friendly [AND] spotless [IMPLY] distinct [PERIOD]
average [AND] modern [AND] agreeable [IMPLY] calm [PERIOD]
stubborn [IMPLY] hilarious [PERIOD]
agreeable [AND] calm [IMPLY] spotless [PERIOD]
stubborn [AND] supportive [IMPLY] joyous [PERIOD]
frightened [AND] amused [IMPLY] spotless [PERIOD]
mysterious [AND] frightened [IMPLY] agreeable [PERIOD]
bright [IMPLY] supportive [PERIOD]
spotless [AND] distinct [IMPLY] amused [PERIOD]
amused [IMPLY] courageous [PERIOD]
diplomatic [AND] outrageous [AND] supportive [IMPLY] friendly [PERIOD]
supportive [AND] unpleasant [IMPLY] hilarious [PERIOD]
agreeable [AND] foolish [IMPLY] disgusted [PERIOD]
agreeable [AND] joyous [IMPLY] thoughtful [PERIOD]
jittery [IMPLY] thoughtful [PERIOD]
joyous [IMPLY] hilarious [PERIOD]
jittery [AND] friendly [AND] supportive [IMPLY] modern [PERIOD]
disgusted [AND] thoughtful [IMPLY] supportive [PERIOD]
outrageous [IMPLY] jittery [PERIOD]
supportive [IMPLY] jittery [PERIOD]
diplomatic [IMPLY] thoughtful [PERIOD]
mysterious [AND] agreeable [IMPLY] attractive [PERIOD]
frightened [AND] friendly [IMPLY] stubborn [PERIOD]
outrageous [IMPLY] courageous [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   stubborn ∧ average ⇒ friendly
",1,1
"Facts:  Alice is elated [PERIOD] Alice is alert [PERIOD] Alice is helpless [PERIOD] Alice is broad-minded [PERIOD] Alice is clean [PERIOD] Alice is excited [PERIOD] Alice is rude [PERIOD] Alice is outrageous [PERIOD] Alice is anxious [PERIOD] Alice is combative [PERIOD] Alice is inquisitive [PERIOD] Alice is joyous [PERIOD] Alice is thoughtless [PERIOD] Alice is victorious [PERIOD]
Rules:
helpless [IMPLY] excited [PERIOD]
fancy [IMPLY] inquisitive [PERIOD]
inquisitive [AND] joyous [AND] broad-minded [IMPLY] agreeable [PERIOD]
alert [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] wandering [PERIOD]
inquisitive [IMPLY] victorious [PERIOD]
joyous [AND] disobedient [AND] outrageous [IMPLY] talkative [PERIOD]
outrageous [AND] rude [IMPLY] anxious [PERIOD]
rude [AND] combative [AND] alert [IMPLY] victorious [PERIOD]
wandering [AND] outrageous [IMPLY] broad-minded [PERIOD]
fancy [AND] broad-minded [AND] straightforward [IMPLY] clean [PERIOD]
cruel [AND] helpless [IMPLY] disobedient [PERIOD]
thoughtless [IMPLY] helpless [PERIOD]
elated [AND] cruel [AND] joyous [IMPLY] talkative [PERIOD]
thoughtless [AND] joyous [AND] helpless [IMPLY] anxious [PERIOD]
clean [IMPLY] anxious [PERIOD]
straightforward [IMPLY] cruel [PERIOD]
excited [AND] helpless [IMPLY] broad-minded [PERIOD]
helpless [AND] fancy [IMPLY] wandering [PERIOD]
excited [IMPLY] loving [PERIOD]
disobedient [AND] clean [IMPLY] outrageous [PERIOD]
clean [AND] alert [AND] loving [IMPLY] rude [PERIOD]
outrageous [IMPLY] combative [PERIOD]
cruel [IMPLY] outrageous [PERIOD]
clean [IMPLY] combative [PERIOD]
alert [AND] cruel [AND] anxious [IMPLY] disobedient [PERIOD]
inquisitive [AND] helpless [IMPLY] clean [PERIOD]
straightforward [IMPLY] excited [PERIOD]
elated [IMPLY] joyous [PERIOD]
talkative [IMPLY] loving [PERIOD]
straightforward [IMPLY] clean [PERIOD]
fancy [AND] anxious [AND] cruel [IMPLY] outrageous [PERIOD]
clean [AND] outrageous [AND] joyous [IMPLY] elated [PERIOD]
combative [IMPLY] helpless [PERIOD]
rude [IMPLY] outrageous [PERIOD]
loving [IMPLY] clean [PERIOD]
helpless [AND] talkative [IMPLY] combative [PERIOD]
outrageous [AND] excited [IMPLY] rude [PERIOD]
elated [AND] broad-minded [AND] clean [IMPLY] excited [PERIOD]
alert [IMPLY] thoughtless [PERIOD]
loving [AND] clean [IMPLY] helpless [PERIOD]
outrageous [AND] fancy [AND] victorious [IMPLY] disobedient [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is pleasant [PERIOD] Alice is weary [PERIOD] Alice is friendly [PERIOD] Alice is broad-minded [PERIOD]
Rules:
broad-minded [AND] ugly [AND] witty [IMPLY] condemned [PERIOD]
homely [AND] friendly [IMPLY] ugliest [PERIOD]
gorgeous [AND] hilarious [AND] condemned [IMPLY] tidy [PERIOD]
homely [AND] witty [AND] agreeable [IMPLY] mean [PERIOD]
agreeable [AND] mean [IMPLY] weary [PERIOD]
weary [AND] old-fashioned [AND] frantic [IMPLY] muddy [PERIOD]
ugliest [IMPLY] ugly [PERIOD]
loving [AND] old-fashioned [IMPLY] clumsy [PERIOD]
friendly [IMPLY] gorgeous [PERIOD]
gleaming [AND] homely [AND] weary [IMPLY] witty [PERIOD]
muddy [AND] agreeable [AND] frantic [IMPLY] helpful [PERIOD]
careless [IMPLY] precious [PERIOD]
homely [AND] tidy [IMPLY] ugly [PERIOD]
helpful [AND] old-fashioned [AND] friendly [IMPLY] diplomatic [PERIOD]
witty [AND] tense [AND] loving [IMPLY] friendly [PERIOD]
friendly [IMPLY] careless [PERIOD]
loving [AND] diplomatic [AND] old-fashioned [IMPLY] witty [PERIOD]
friendly [IMPLY] tense [PERIOD]
ugliest [IMPLY] gorgeous [PERIOD]
condemned [IMPLY] clumsy [PERIOD]
gorgeous [AND] muddy [AND] elated [IMPLY] agreeable [PERIOD]
old-fashioned [AND] friendly [IMPLY] mean [PERIOD]
precious [AND] tense [AND] agreeable [IMPLY] ugly [PERIOD]
diplomatic [AND] old-fashioned [AND] weary [IMPLY] tense [PERIOD]
tense [IMPLY] agreeable [PERIOD]
tense [AND] pleasant [AND] condemned [IMPLY] frantic [PERIOD]
broad-minded [AND] elated [AND] frantic [IMPLY] condemned [PERIOD]
tidy [AND] precious [AND] weary [IMPLY] ugliest [PERIOD]
muddy [IMPLY] elated [PERIOD]
careless [AND] muddy [AND] broad-minded [IMPLY] condemned [PERIOD]
witty [IMPLY] loving [PERIOD]
hilarious [AND] gleaming [AND] clumsy [IMPLY] precious [PERIOD]
diplomatic [AND] tidy [AND] broad-minded [IMPLY] gleaming [PERIOD]
ugly [AND] nervous [AND] pleasant [IMPLY] hilarious [PERIOD]
agreeable [AND] frantic [AND] gleaming [IMPLY] friendly [PERIOD]
pleasant [AND] homely [IMPLY] ugliest [PERIOD]
nervous [AND] weary [IMPLY] helpful [PERIOD]
tense [AND] agreeable [IMPLY] clumsy [PERIOD]
precious [AND] mean [AND] elated [IMPLY] ugly [PERIOD]
frantic [AND] loving [IMPLY] gorgeous [PERIOD]
condemned [AND] gleaming [IMPLY] weary [PERIOD]
hilarious [AND] muddy [AND] agreeable [IMPLY] weary [PERIOD]
weary [IMPLY] muddy [PERIOD]
elated [IMPLY] weary [PERIOD]
tense [AND] clumsy [IMPLY] elated [PERIOD]
old-fashioned [AND] mean [AND] friendly [IMPLY] diplomatic [PERIOD]
clumsy [AND] gorgeous [AND] ugliest [IMPLY] loving [PERIOD]
condemned [IMPLY] broad-minded [PERIOD]
gorgeous [IMPLY] homely [PERIOD]
helpful [AND] tidy [AND] condemned [IMPLY] broad-minded [PERIOD]
pleasant [AND] tense [IMPLY] witty [PERIOD]
tense [IMPLY] ugliest [PERIOD]
frantic [AND] elated [IMPLY] old-fashioned [PERIOD]
broad-minded [IMPLY] elated [PERIOD]
tidy [AND] old-fashioned [AND] friendly [IMPLY] agreeable [PERIOD]
ugliest [AND] gorgeous [IMPLY] precious [PERIOD]
muddy [IMPLY] careless [PERIOD]
pleasant [AND] gleaming [IMPLY] weary [PERIOD]
loving [AND] gorgeous [IMPLY] broad-minded [PERIOD]
agreeable [AND] clumsy [AND] witty [IMPLY] helpful [PERIOD]
gorgeous [AND] ugliest [AND] helpful [IMPLY] weary [PERIOD]
pleasant [IMPLY] witty [PERIOD]
precious [AND] careless [IMPLY] condemned [PERIOD]
gleaming [AND] gorgeous [AND] tense [IMPLY] precious [PERIOD]
loving [AND] pleasant [AND] broad-minded [IMPLY] nervous [PERIOD]
agreeable [AND] clumsy [IMPLY] helpful [PERIOD]
elated [IMPLY] broad-minded [PERIOD]
homely [IMPLY] gleaming [PERIOD]
diplomatic [AND] witty [IMPLY] weary [PERIOD]
elated [AND] helpful [AND] precious [IMPLY] homely [PERIOD]
diplomatic [AND] frantic [IMPLY] muddy [PERIOD]
hilarious [AND] mean [AND] helpful [IMPLY] ugliest [PERIOD]
careless [IMPLY] elated [PERIOD]
gleaming [AND] weary [AND] elated [IMPLY] ugly [PERIOD]
elated [IMPLY] loving [PERIOD]
gleaming [AND] condemned [IMPLY] ugly [PERIOD]
old-fashioned [IMPLY] homely [PERIOD]
gleaming [IMPLY] witty [PERIOD]
ugly [AND] agreeable [IMPLY] condemned [PERIOD]
pleasant [AND] careless [AND] homely [IMPLY] frantic [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   friendly ⇒ gorgeous
   weary ⇒ muddy
   broad-minded ⇒ elated
   gorgeous ∧ muddy ∧ elated ⇒ agreeable
",1,4
"Facts:  Alice is bored [PERIOD] Alice is embarrassed [PERIOD] Alice is outrageous [PERIOD] Alice is cruel [PERIOD] Alice is jittery [PERIOD] Alice is frail [PERIOD] Alice is inexpensive [PERIOD] Alice is sleepy [PERIOD] Alice is courageous [PERIOD] Alice is friendly [PERIOD] Alice is proud [PERIOD] Alice is stubborn [PERIOD] Alice is vivacious [PERIOD] Alice is perfect [PERIOD]
Rules:
proud [IMPLY] friendly [PERIOD]
vivacious [AND] outrageous [AND] pessimistic [IMPLY] cruel [PERIOD]
outrageous [AND] sleepy [AND] jittery [IMPLY] pessimistic [PERIOD]
outrageous [AND] proud [IMPLY] straightforward [PERIOD]
vivacious [AND] straightforward [AND] friendly [IMPLY] pessimistic [PERIOD]
jittery [AND] proud [AND] stubborn [IMPLY] sleepy [PERIOD]
inexpensive [IMPLY] straightforward [PERIOD]
friendly [AND] stubborn [IMPLY] outrageous [PERIOD]
pessimistic [AND] perfect [AND] cruel [IMPLY] stubborn [PERIOD]
proud [AND] inexpensive [IMPLY] sleepy [PERIOD]
bored [AND] pessimistic [AND] proud [IMPLY] sleepy [PERIOD]
straightforward [AND] frail [AND] embarrassed [IMPLY] bored [PERIOD]
sleepy [AND] pessimistic [AND] jittery [IMPLY] courageous [PERIOD]
frail [IMPLY] sleepy [PERIOD]
outrageous [AND] proud [IMPLY] friendly [PERIOD]
perfect [AND] straightforward [IMPLY] inexpensive [PERIOD]
perfect [AND] straightforward [IMPLY] outrageous [PERIOD]
outrageous [AND] jittery [AND] friendly [IMPLY] inexpensive [PERIOD]
outrageous [IMPLY] bored [PERIOD]
perfect [AND] vivacious [AND] courageous [IMPLY] pessimistic [PERIOD]
frail [IMPLY] friendly [PERIOD]
inexpensive [IMPLY] friendly [PERIOD]
jittery [AND] sleepy [AND] pessimistic [IMPLY] stubborn [PERIOD]
outrageous [AND] pessimistic [IMPLY] inexpensive [PERIOD]
straightforward [AND] outrageous [AND] inexpensive [IMPLY] courageous [PERIOD]
friendly [IMPLY] frail [PERIOD]
proud [AND] sleepy [AND] outrageous [IMPLY] courageous [PERIOD]
sleepy [AND] embarrassed [IMPLY] frail [PERIOD]
jittery [AND] embarrassed [AND] straightforward [IMPLY] courageous [PERIOD]
stubborn [AND] inexpensive [AND] embarrassed [IMPLY] proud [PERIOD]
straightforward [AND] pessimistic [IMPLY] vivacious [PERIOD]
pessimistic [IMPLY] courageous [PERIOD]
embarrassed [AND] proud [IMPLY] cruel [PERIOD]
jittery [IMPLY] straightforward [PERIOD]
straightforward [AND] jittery [AND] inexpensive [IMPLY] pessimistic [PERIOD]
proud [AND] inexpensive [AND] vivacious [IMPLY] stubborn [PERIOD]
cruel [IMPLY] straightforward [PERIOD]
proud [AND] sleepy [IMPLY] embarrassed [PERIOD]
inexpensive [AND] stubborn [AND] frail [IMPLY] cruel [PERIOD]
pessimistic [AND] proud [IMPLY] inexpensive [PERIOD]
frail [IMPLY] bored [PERIOD]
proud [AND] friendly [AND] frail [IMPLY] pessimistic [PERIOD]
courageous [AND] bored [AND] vivacious [IMPLY] friendly [PERIOD]
vivacious [AND] frail [AND] perfect [IMPLY] outrageous [PERIOD]
friendly [AND] frail [IMPLY] vivacious [PERIOD]
jittery [AND] cruel [IMPLY] inexpensive [PERIOD]
straightforward [IMPLY] bored [PERIOD]
embarrassed [AND] frail [IMPLY] cruel [PERIOD]
perfect [IMPLY] sleepy [PERIOD]
vivacious [IMPLY] courageous [PERIOD]
frail [AND] sleepy [IMPLY] stubborn [PERIOD]
sleepy [AND] pessimistic [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] cruel [PERIOD]
stubborn [AND] embarrassed [AND] perfect [IMPLY] proud [PERIOD]
inexpensive [AND] jittery [AND] stubborn [IMPLY] friendly [PERIOD]
cruel [AND] outrageous [AND] sleepy [IMPLY] frail [PERIOD]
bored [IMPLY] inexpensive [PERIOD]
jittery [AND] straightforward [AND] proud [IMPLY] vivacious [PERIOD]
courageous [IMPLY] vivacious [PERIOD]
straightforward [AND] jittery [AND] embarrassed [IMPLY] bored [PERIOD]
pessimistic [AND] cruel [AND] friendly [IMPLY] courageous [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is rational [PERIOD]
Rules:
helpful [IMPLY] tidy [PERIOD]
tense [AND] rational [AND] good [IMPLY] powerful [PERIOD]
powerful [AND] grumpy [AND] versatile [IMPLY] helpful [PERIOD]
tense [AND] tidy [AND] helpful [IMPLY] careless [PERIOD]
tidy [AND] rational [AND] careless [IMPLY] good [PERIOD]
grumpy [AND] good [AND] helpful [IMPLY] careless [PERIOD]
grumpy [AND] helpful [IMPLY] tense [PERIOD]
careless [AND] tense [IMPLY] helpful [PERIOD]
good [AND] powerful [AND] helpful [IMPLY] tidy [PERIOD]
helpful [IMPLY] good [PERIOD]
tidy [AND] amused [IMPLY] grumpy [PERIOD]
rational [IMPLY] amused [PERIOD]
rational [IMPLY] helpful [PERIOD]
amused [IMPLY] rational [PERIOD]
tidy [AND] careless [AND] tense [IMPLY] amused [PERIOD]
good [IMPLY] tense [PERIOD]
rational [AND] tense [AND] careless [IMPLY] good [PERIOD]
careless [AND] amused [IMPLY] versatile [PERIOD]
tidy [AND] powerful [IMPLY] amused [PERIOD]
grumpy [IMPLY] rational [PERIOD]
helpful [AND] tense [AND] tidy [IMPLY] good [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
   rational ⇒ helpful
   helpful ⇒ good
",1,2
"Facts:  Alice is rational [PERIOD] Alice is blushing [PERIOD] Alice is joyous [PERIOD] Alice is scared [PERIOD]
Rules:
uptight [AND] fearless [IMPLY] proud [PERIOD]
strange [AND] old-fashioned [AND] anxious [IMPLY] uptight [PERIOD]
quaint [AND] agreeable [AND] rude [IMPLY] anxious [PERIOD]
strange [AND] plain [AND] old-fashioned [IMPLY] scared [PERIOD]
anxious [AND] messy [IMPLY] agreeable [PERIOD]
old-fashioned [AND] quaint [AND] hurt [IMPLY] anxious [PERIOD]
rational [IMPLY] agreeable [PERIOD]
plain [AND] fearless [IMPLY] agreeable [PERIOD]
proud [AND] blushing [AND] plain [IMPLY] bored [PERIOD]
rude [IMPLY] proud [PERIOD]
messy [AND] fearless [AND] old-fashioned [IMPLY] uptight [PERIOD]
uptight [AND] agreeable [AND] bored [IMPLY] joyous [PERIOD]
old-fashioned [IMPLY] proud [PERIOD]
rude [AND] rational [AND] quaint [IMPLY] proud [PERIOD]
anxious [AND] fearless [AND] exuberant [IMPLY] rational [PERIOD]
hurt [AND] frail [AND] fearless [IMPLY] plain [PERIOD]
bored [IMPLY] exuberant [PERIOD]
exuberant [AND] agreeable [IMPLY] rude [PERIOD]
uptight [AND] bored [AND] messy [IMPLY] old-fashioned [PERIOD]
rational [AND] plain [IMPLY] hurt [PERIOD]
bored [AND] frail [IMPLY] quaint [PERIOD]
plain [IMPLY] messy [PERIOD]
bored [IMPLY] messy [PERIOD]
bored [AND] proud [IMPLY] old-fashioned [PERIOD]
modern [IMPLY] old-fashioned [PERIOD]
anxious [AND] proud [AND] joyous [IMPLY] blushing [PERIOD]
joyous [IMPLY] proud [PERIOD]
uptight [AND] blushing [IMPLY] frail [PERIOD]
proud [IMPLY] exuberant [PERIOD]
rational [AND] blushing [AND] agreeable [IMPLY] quaint [PERIOD]
exuberant [AND] scared [IMPLY] old-fashioned [PERIOD]
strange [AND] scared [IMPLY] plain [PERIOD]
rational [AND] plain [IMPLY] strange [PERIOD]
plain [AND] blushing [AND] messy [IMPLY] modern [PERIOD]
quaint [AND] anxious [AND] bored [IMPLY] rational [PERIOD]
uptight [AND] modern [IMPLY] exuberant [PERIOD]
rational [IMPLY] old-fashioned [PERIOD]
rude [AND] uptight [IMPLY] agreeable [PERIOD]
proud [AND] exuberant [AND] frail [IMPLY] blushing [PERIOD]
strange [AND] rational [AND] proud [IMPLY] scared [PERIOD]
joyous [AND] rational [IMPLY] quaint [PERIOD]
hurt [AND] plain [IMPLY] proud [PERIOD]
plain [AND] modern [IMPLY] frail [PERIOD]
proud [AND] fearless [IMPLY] uptight [PERIOD]
rude [AND] hurt [AND] joyous [IMPLY] bored [PERIOD]
blushing [IMPLY] strange [PERIOD]
uptight [AND] rational [IMPLY] quaint [PERIOD]
hurt [AND] old-fashioned [AND] agreeable [IMPLY] messy [PERIOD]
old-fashioned [AND] rational [AND] exuberant [IMPLY] hurt [PERIOD]
anxious [AND] hurt [AND] messy [IMPLY] rude [PERIOD]
fearless [IMPLY] proud [PERIOD]
exuberant [AND] rude [IMPLY] hurt [PERIOD]
anxious [IMPLY] hurt [PERIOD]
anxious [AND] plain [IMPLY] strange [PERIOD]
messy [IMPLY] modern [PERIOD]
joyous [IMPLY] rude [PERIOD]
rude [IMPLY] quaint [PERIOD]
exuberant [IMPLY] modern [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   blushing ⇒ strange
   strange ∧ scared ⇒ plain
   joyous ⇒ proud
   proud ⇒ exuberant
   exuberant ⇒ modern
   plain ∧ modern ⇒ frail
",1,6
"Facts:  Alice is uptight [PERIOD] Alice is impartial [PERIOD] Alice is dull [PERIOD] Alice is stupid [PERIOD] Alice is witty [PERIOD] Alice is shiny [PERIOD] Alice is spotless [PERIOD] Alice is gleaming [PERIOD] Alice is easy [PERIOD] Alice is fearless [PERIOD] Alice is versatile [PERIOD] Alice is hurt [PERIOD] Alice is nervous [PERIOD] Alice is impatient [PERIOD] Alice is shy [PERIOD]
Rules:
long [AND] impartial [IMPLY] ugliest [PERIOD]
attentive [IMPLY] long [PERIOD]
ugliest [AND] stupid [AND] spotless [IMPLY] impartial [PERIOD]
nervous [AND] impatient [AND] shiny [IMPLY] anxious [PERIOD]
fearless [IMPLY] witty [PERIOD]
nervous [IMPLY] versatile [PERIOD]
impatient [AND] average [AND] mean [IMPLY] thoughtful [PERIOD]
anxious [IMPLY] gleaming [PERIOD]
average [IMPLY] dull [PERIOD]
long [IMPLY] average [PERIOD]
versatile [AND] shiny [AND] uptight [IMPLY] hurt [PERIOD]
versatile [IMPLY] stupid [PERIOD]
uptight [AND] mean [AND] versatile [IMPLY] thoughtful [PERIOD]
nervous [AND] hurt [AND] impatient [IMPLY] attentive [PERIOD]
impatient [AND] anxious [AND] uptight [IMPLY] shy [PERIOD]
nervous [AND] ugliest [IMPLY] fearless [PERIOD]
thoughtful [AND] stupid [IMPLY] versatile [PERIOD]
proud [AND] thoughtful [IMPLY] frail [PERIOD]
shy [IMPLY] impatient [PERIOD]
dull [AND] versatile [AND] shiny [IMPLY] fearless [PERIOD]
dull [AND] easy [IMPLY] impartial [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   nervous ∧ hurt ∧ impatient ⇒ attentive
   attentive ⇒ long
   long ⇒ average
   Cannot apply rule “impatient ∧ average ∧ mean ⇒ thoughtful” because missing: mean.
   Cannot apply rule “uptight ∧ mean ∧ versatile ⇒ thoughtful” because missing: mean.
",0,5
"Facts:  Alice is crowded [PERIOD]
Rules:
uptight [IMPLY] crowded [PERIOD]
rude [IMPLY] frail [PERIOD]
combative [AND] frail [AND] rude [IMPLY] crowded [PERIOD]
witty [AND] uptight [AND] bossy [IMPLY] frail [PERIOD]
excited [IMPLY] bossy [PERIOD]
troubled [IMPLY] witty [PERIOD]
clean [AND] crowded [IMPLY] rude [PERIOD]
troubled [IMPLY] excited [PERIOD]
combative [AND] witty [IMPLY] troubled [PERIOD]
crowded [AND] bossy [AND] troubled [IMPLY] uptight [PERIOD]
excited [AND] clean [IMPLY] uptight [PERIOD]
troubled [AND] helpless [AND] witty [IMPLY] frail [PERIOD]
frail [AND] bossy [AND] clean [IMPLY] helpless [PERIOD]
crowded [AND] rude [AND] troubled [IMPLY] uptight [PERIOD]
bossy [AND] frail [AND] witty [IMPLY] excited [PERIOD]
bossy [AND] excited [AND] rude [IMPLY] helpless [PERIOD]
rude [AND] clean [AND] combative [IMPLY] helpless [PERIOD]
frail [AND] combative [IMPLY] excited [PERIOD]
excited [IMPLY] witty [PERIOD]
bossy [IMPLY] excited [PERIOD]
excited [AND] uptight [IMPLY] witty [PERIOD]
rude [AND] clean [IMPLY] bossy [PERIOD]
clean [IMPLY] combative [PERIOD]
troubled [AND] bossy [AND] combative [IMPLY] witty [PERIOD]
witty [AND] excited [IMPLY] helpless [PERIOD]
rude [AND] bossy [AND] crowded [IMPLY] combative [PERIOD]
clean [IMPLY] helpless [PERIOD]
clean [AND] troubled [IMPLY] frail [PERIOD]
clean [AND] witty [AND] troubled [IMPLY] rude [PERIOD]
helpless [AND] excited [IMPLY] combative [PERIOD]
crowded [AND] helpless [AND] rude [IMPLY] combative [PERIOD]
troubled [AND] clean [AND] uptight [IMPLY] crowded [PERIOD]
frail [IMPLY] crowded [PERIOD]
rude [AND] combative [AND] troubled [IMPLY] crowded [PERIOD]
helpless [AND] frail [AND] bossy [IMPLY] uptight [PERIOD]
bossy [AND] crowded [AND] rude [IMPLY] witty [PERIOD]
rude [IMPLY] witty [PERIOD]
witty [AND] bossy [AND] clean [IMPLY] rude [PERIOD]
crowded [AND] witty [IMPLY] frail [PERIOD]
witty [IMPLY] troubled [PERIOD]
bossy [AND] helpless [IMPLY] witty [PERIOD]
frail [AND] witty [IMPLY] bossy [PERIOD]
uptight [AND] bossy [AND] witty [IMPLY] clean [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “rude ⇒ frail” because missing: rude.
   Cannot apply rule “witty ∧ uptight ∧ bossy ⇒ frail” because missing: witty, uptight, bossy.
   Cannot apply rule “troubled ∧ helpless ∧ witty ⇒ frail” because missing: troubled, helpless, witty.
   Cannot apply rule “clean ∧ troubled ⇒ frail” because missing: clean, troubled.
   Cannot apply rule “crowded ∧ witty ⇒ frail” because missing: witty.
",0,5
"Facts:  Alice is fragile [PERIOD] Alice is cooperative [PERIOD] Alice is busy [PERIOD]
Rules:
joyous [IMPLY] cooperative [PERIOD]
fragile [AND] strange [AND] perfect [IMPLY] frail [PERIOD]
frantic [AND] mean [IMPLY] good [PERIOD]
mean [IMPLY] fancy [PERIOD]
strange [AND] proud [IMPLY] elegant [PERIOD]
ugly [AND] tame [AND] frail [IMPLY] glamorous [PERIOD]
ugly [AND] strange [AND] perfect [IMPLY] good [PERIOD]
cooperative [AND] fragile [AND] pessimistic [IMPLY] proud [PERIOD]
plain [AND] strange [IMPLY] pessimistic [PERIOD]
glamorous [AND] mean [IMPLY] tame [PERIOD]
hurt [AND] foolish [AND] mean [IMPLY] strange [PERIOD]
fancy [IMPLY] elegant [PERIOD]
bossy [AND] foolish [AND] fragile [IMPLY] friendly [PERIOD]
fragile [IMPLY] amused [PERIOD]
ugly [AND] frail [AND] fancy [IMPLY] amused [PERIOD]
friendly [AND] fancy [AND] joyous [IMPLY] busy [PERIOD]
hurt [AND] wide-eyed [IMPLY] friendly [PERIOD]
proud [IMPLY] hurt [PERIOD]
tame [AND] wide-eyed [AND] perfect [IMPLY] strange [PERIOD]
frail [AND] ugly [IMPLY] bossy [PERIOD]
elegant [AND] hurt [AND] intellectual [IMPLY] pessimistic [PERIOD]
frantic [AND] perfect [IMPLY] fancy [PERIOD]
bossy [AND] perfect [IMPLY] proud [PERIOD]
bossy [IMPLY] amused [PERIOD]
friendly [IMPLY] tame [PERIOD]
attractive [IMPLY] bossy [PERIOD]
strange [AND] fancy [AND] tame [IMPLY] bossy [PERIOD]
joyous [IMPLY] perfect [PERIOD]
frantic [AND] fancy [AND] crowded [IMPLY] pessimistic [PERIOD]
wide-eyed [IMPLY] joyous [PERIOD]
joyous [AND] perfect [AND] fragile [IMPLY] ugly [PERIOD]
hurt [IMPLY] courageous [PERIOD]
strange [AND] fragile [AND] elegant [IMPLY] pessimistic [PERIOD]
busy [IMPLY] proud [PERIOD]
busy [AND] strange [IMPLY] attractive [PERIOD]
elegant [AND] intellectual [AND] courageous [IMPLY] perfect [PERIOD]
mean [IMPLY] fragile [PERIOD]
strange [IMPLY] perfect [PERIOD]
cooperative [AND] wide-eyed [IMPLY] frail [PERIOD]
frail [AND] good [AND] fancy [IMPLY] foolish [PERIOD]
perfect [IMPLY] bossy [PERIOD]
frantic [AND] pessimistic [AND] cooperative [IMPLY] glamorous [PERIOD]
strange [AND] plain [AND] attractive [IMPLY] amused [PERIOD]
courageous [IMPLY] busy [PERIOD]
bossy [IMPLY] mean [PERIOD]
good [AND] tame [AND] crowded [IMPLY] busy [PERIOD]
wide-eyed [AND] foolish [AND] intellectual [IMPLY] elegant [PERIOD]
frantic [AND] fancy [AND] glamorous [IMPLY] cooperative [PERIOD]
wide-eyed [AND] hurt [IMPLY] mean [PERIOD]
plain [IMPLY] glamorous [PERIOD]
bossy [IMPLY] pessimistic [PERIOD]
hurt [IMPLY] glamorous [PERIOD]
courageous [AND] tame [AND] friendly [IMPLY] fancy [PERIOD]
intellectual [AND] ugly [AND] fancy [IMPLY] courageous [PERIOD]
proud [AND] cooperative [IMPLY] strange [PERIOD]
good [AND] amused [AND] cooperative [IMPLY] ugly [PERIOD]
intellectual [IMPLY] attractive [PERIOD]
cooperative [IMPLY] friendly [PERIOD]
tame [AND] hurt [IMPLY] cooperative [PERIOD]
strange [IMPLY] fancy [PERIOD]
joyous [AND] friendly [AND] foolish [IMPLY] perfect [PERIOD]
fancy [AND] crowded [IMPLY] friendly [PERIOD]
strange [AND] joyous [AND] good [IMPLY] amused [PERIOD]
cooperative [AND] pessimistic [IMPLY] plain [PERIOD]
cooperative [AND] tame [IMPLY] crowded [PERIOD]
wide-eyed [IMPLY] proud [PERIOD]
bossy [AND] courageous [AND] friendly [IMPLY] proud [PERIOD]
joyous [AND] busy [IMPLY] crowded [PERIOD]
foolish [AND] bossy [AND] courageous [IMPLY] busy [PERIOD]
fragile [AND] wide-eyed [AND] friendly [IMPLY] glamorous [PERIOD]
ugly [AND] foolish [IMPLY] plain [PERIOD]
proud [IMPLY] pessimistic [PERIOD]
intellectual [AND] good [IMPLY] joyous [PERIOD]
friendly [AND] attractive [IMPLY] good [PERIOD]
glamorous [IMPLY] courageous [PERIOD]
courageous [AND] fragile [AND] ugly [IMPLY] tame [PERIOD]
proud [AND] glamorous [AND] amused [IMPLY] fancy [PERIOD]
fancy [IMPLY] hurt [PERIOD]
courageous [IMPLY] plain [PERIOD]
pessimistic [IMPLY] busy [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   busy ⇒ proud
   proud ∧ cooperative ⇒ strange
   busy ⇒ proud
   proud ∧ cooperative ⇒ strange
   strange ⇒ perfect
   fragile ∧ strange ∧ perfect ⇒ frail
",1,6
"Facts:  Alice is joyous [PERIOD] Alice is silly [PERIOD] Alice is cruel [PERIOD]
Rules:
friendly [AND] amused [AND] modern [IMPLY] dishonest [PERIOD]
dull [AND] sensible [IMPLY] reserved [PERIOD]
worrisome [IMPLY] joyous [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
   Cannot apply rule “dull ∧ sensible ⇒ reserved” because missing: dull, sensible.
",0,1
"Facts:  Alice is homely [PERIOD]
Rules:
lonely [AND] fearless [IMPLY] proud [PERIOD]
homely [AND] confused [IMPLY] horrible [PERIOD]
helpless [AND] easy [IMPLY] lonely [PERIOD]
ugly [AND] stormy [AND] bored [IMPLY] fearless [PERIOD]
stormy [IMPLY] proud [PERIOD]
thoughtful [AND] homely [IMPLY] easy [PERIOD]
thoughtful [IMPLY] helpless [PERIOD]
glamorous [IMPLY] helpless [PERIOD]
lonely [AND] confused [AND] homely [IMPLY] ugly [PERIOD]
thoughtful [AND] horrible [IMPLY] stormy [PERIOD]
proud [AND] homely [IMPLY] horrible [PERIOD]
ugly [AND] proud [AND] lonely [IMPLY] glamorous [PERIOD]
horrible [IMPLY] thoughtful [PERIOD]
homely [AND] fearless [IMPLY] busy [PERIOD]
proud [AND] bored [IMPLY] stormy [PERIOD]
horrible [IMPLY] bright [PERIOD]
fearless [IMPLY] ugly [PERIOD]
bright [AND] proud [IMPLY] glamorous [PERIOD]
busy [AND] helpless [AND] thoughtful [IMPLY] bored [PERIOD]
helpless [AND] thoughtful [IMPLY] glamorous [PERIOD]
stormy [IMPLY] helpless [PERIOD]
proud [AND] stormy [IMPLY] helpless [PERIOD]
homely [AND] stormy [IMPLY] lonely [PERIOD]
lonely [AND] easy [IMPLY] stormy [PERIOD]
condemned [AND] bright [IMPLY] fearless [PERIOD]
ugly [IMPLY] thoughtful [PERIOD]
bored [IMPLY] fearless [PERIOD]
glamorous [AND] bored [IMPLY] homely [PERIOD]
thoughtful [AND] horrible [IMPLY] fearless [PERIOD]
stormy [IMPLY] easy [PERIOD]
proud [IMPLY] glamorous [PERIOD]
fearless [AND] glamorous [AND] confused [IMPLY] busy [PERIOD]
glamorous [AND] homely [IMPLY] bright [PERIOD]
bright [AND] bored [AND] homely [IMPLY] helpless [PERIOD]
glamorous [AND] busy [AND] ugly [IMPLY] bright [PERIOD]
bright [IMPLY] thoughtful [PERIOD]
bored [AND] homely [AND] glamorous [IMPLY] thoughtful [PERIOD]
easy [IMPLY] proud [PERIOD]
easy [AND] confused [IMPLY] helpless [PERIOD]
glamorous [AND] easy [AND] homely [IMPLY] proud [PERIOD]
bored [AND] horrible [AND] bright [IMPLY] ugly [PERIOD]
helpless [AND] homely [IMPLY] thoughtful [PERIOD]
condemned [IMPLY] bright [PERIOD]
homely [AND] stormy [AND] horrible [IMPLY] bored [PERIOD]
ugly [AND] easy [IMPLY] confused [PERIOD]
fearless [IMPLY] thoughtful [PERIOD]
bright [AND] horrible [IMPLY] easy [PERIOD]
helpless [IMPLY] bored [PERIOD]
bored [AND] confused [IMPLY] busy [PERIOD]
horrible [AND] thoughtful [IMPLY] confused [PERIOD]
stormy [AND] helpless [AND] horrible [IMPLY] condemned [PERIOD]
ugly [AND] busy [IMPLY] bright [PERIOD]
glamorous [AND] easy [IMPLY] fearless [PERIOD]
fearless [IMPLY] confused [PERIOD]
stormy [IMPLY] busy [PERIOD]
busy [AND] thoughtful [IMPLY] proud [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   Cannot apply rule “ugly ∧ stormy ∧ bored ⇒ fearless” because missing: ugly, stormy, bored.
   Cannot apply rule “condemned ∧ bright ⇒ fearless” because missing: condemned, bright.
   Cannot apply rule “bored ⇒ fearless” because missing: bored.
   Cannot apply rule “thoughtful ∧ horrible ⇒ fearless” because missing: thoughtful, horrible.
   Cannot apply rule “glamorous ∧ easy ⇒ fearless” because missing: glamorous, easy.
",0,5
"Facts: 
Rules:
joyous [AND] rational [AND] frightened [IMPLY] easy [PERIOD]
helpless [IMPLY] easy [PERIOD]
ugliest [AND] precious [AND] modern [IMPLY] popular [PERIOD]
frightened [AND] easy [AND] modern [IMPLY] polite [PERIOD]
ugliest [IMPLY] wrong [PERIOD]
gleaming [AND] modern [IMPLY] popular [PERIOD]
rational [AND] joyous [AND] wrong [IMPLY] easy [PERIOD]
popular [IMPLY] precious [PERIOD]
popular [AND] rude [AND] thoughtless [IMPLY] polite [PERIOD]
frightened [AND] plain [IMPLY] helpless [PERIOD]
precious [AND] wrong [IMPLY] thoughtless [PERIOD]
frightened [AND] helpless [AND] popular [IMPLY] plain [PERIOD]
easy [IMPLY] rude [PERIOD]
plain [AND] ugliest [AND] joyous [IMPLY] disgusted [PERIOD]
straightforward [AND] joyous [IMPLY] popular [PERIOD]
rude [AND] joyous [AND] plain [IMPLY] precious [PERIOD]
ugliest [AND] polite [IMPLY] easy [PERIOD]
joyous [AND] gleaming [IMPLY] straightforward [PERIOD]
gleaming [IMPLY] helpless [PERIOD]
straightforward [AND] rational [IMPLY] disgusted [PERIOD]
plain [AND] wrong [AND] ugliest [IMPLY] frightened [PERIOD]
easy [AND] polite [IMPLY] modern [PERIOD]
easy [AND] modern [IMPLY] rude [PERIOD]
straightforward [AND] modern [IMPLY] easy [PERIOD]
straightforward [AND] thoughtless [AND] easy [IMPLY] polite [PERIOD]
rational [AND] polite [IMPLY] wrong [PERIOD]
plain [AND] popular [AND] gleaming [IMPLY] straightforward [PERIOD]
wrong [AND] gleaming [AND] helpless [IMPLY] joyous [PERIOD]
ugliest [AND] popular [AND] polite [IMPLY] modern [PERIOD]
precious [IMPLY] thoughtless [PERIOD]
joyous [AND] rational [IMPLY] easy [PERIOD]
popular [IMPLY] easy [PERIOD]
frightened [IMPLY] popular [PERIOD]
thoughtless [AND] easy [IMPLY] wrong [PERIOD]
straightforward [IMPLY] precious [PERIOD]
helpless [IMPLY] thoughtless [PERIOD]
straightforward [AND] disgusted [AND] gleaming [IMPLY] helpless [PERIOD]
helpless [AND] gleaming [AND] thoughtless [IMPLY] frightened [PERIOD]
popular [IMPLY] rational [PERIOD]
joyous [AND] rude [AND] easy [IMPLY] frightened [PERIOD]
disgusted [AND] plain [IMPLY] frightened [PERIOD]
wrong [AND] rude [IMPLY] precious [PERIOD]
rude [AND] thoughtless [IMPLY] straightforward [PERIOD]
gleaming [IMPLY] thoughtless [PERIOD]
plain [AND] polite [AND] disgusted [IMPLY] popular [PERIOD]
modern [AND] ugliest [AND] rational [IMPLY] popular [PERIOD]
easy [AND] thoughtless [AND] modern [IMPLY] polite [PERIOD]
precious [AND] joyous [IMPLY] polite [PERIOD]
rude [IMPLY] ugliest [PERIOD]
popular [AND] precious [AND] joyous [IMPLY] thoughtless [PERIOD]
polite [AND] gleaming [IMPLY] joyous [PERIOD]
straightforward [AND] gleaming [IMPLY] precious [PERIOD]
helpless [AND] plain [IMPLY] gleaming [PERIOD]
helpless [IMPLY] frightened [PERIOD]
thoughtless [AND] helpless [IMPLY] rude [PERIOD]
polite [AND] popular [AND] easy [IMPLY] precious [PERIOD]
gleaming [AND] easy [IMPLY] modern [PERIOD]
plain [AND] straightforward [IMPLY] joyous [PERIOD]
ugliest [AND] precious [IMPLY] modern [PERIOD]
thoughtless [AND] wrong [AND] joyous [IMPLY] rude [PERIOD]
rational [IMPLY] helpless [PERIOD]
joyous [AND] straightforward [IMPLY] gleaming [PERIOD]
popular [AND] rude [AND] frightened [IMPLY] rational [PERIOD]
helpless [AND] thoughtless [IMPLY] plain [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “precious ∧ wrong ⇒ thoughtless” because missing: precious, wrong.
   Cannot apply rule “precious ⇒ thoughtless” because missing: precious.
   Cannot apply rule “helpless ⇒ thoughtless” because missing: helpless.
   Cannot apply rule “gleaming ⇒ thoughtless” because missing: gleaming.
   Cannot apply rule “popular ∧ precious ∧ joyous ⇒ thoughtless” because missing: popular, precious, joyous.
",0,5
"Facts:  Alice is difficult [PERIOD] Alice is average [PERIOD] Alice is ugly [PERIOD] Alice is busy [PERIOD] Alice is uptight [PERIOD] Alice is spotless [PERIOD] Alice is condemned [PERIOD] Alice is pleasant [PERIOD]
Rules:
ugly [IMPLY] pleasant [PERIOD]
intellectual [AND] zealous [AND] disobedient [IMPLY] gifted [PERIOD]
spotless [IMPLY] talkative [PERIOD]
attractive [AND] busy [AND] rational [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] zealous [IMPLY] embarrassed [PERIOD]
intellectual [AND] ugliest [AND] attractive [IMPLY] spotless [PERIOD]
busy [AND] pleasant [IMPLY] difficult [PERIOD]
tidy [AND] busy [AND] gifted [IMPLY] pleasant [PERIOD]
attractive [AND] gifted [IMPLY] talkative [PERIOD]
difficult [AND] pleasant [IMPLY] intellectual [PERIOD]
condemned [AND] average [IMPLY] embarrassed [PERIOD]
busy [AND] uptight [IMPLY] ugliest [PERIOD]
embarrassed [AND] talkative [AND] average [IMPLY] gifted [PERIOD]
pleasant [AND] busy [AND] tidy [IMPLY] average [PERIOD]
ugliest [AND] intellectual [AND] condemned [IMPLY] gifted [PERIOD]
average [AND] gifted [AND] difficult [IMPLY] talkative [PERIOD]
embarrassed [IMPLY] old-fashioned [PERIOD]
average [AND] modern [IMPLY] rational [PERIOD]
talkative [AND] pleasant [AND] condemned [IMPLY] busy [PERIOD]
rational [IMPLY] difficult [PERIOD]
zealous [AND] rational [IMPLY] ugly [PERIOD]
rational [AND] zealous [IMPLY] ugliest [PERIOD]
modern [AND] zealous [AND] spotless [IMPLY] pessimistic [PERIOD]
gifted [AND] intellectual [IMPLY] pleasant [PERIOD]
talkative [IMPLY] spotless [PERIOD]
embarrassed [AND] ugliest [AND] zealous [IMPLY] average [PERIOD]
zealous [AND] tidy [AND] rational [IMPLY] pessimistic [PERIOD]
busy [IMPLY] attractive [PERIOD]
disobedient [IMPLY] old-fashioned [PERIOD]
busy [AND] difficult [IMPLY] pessimistic [PERIOD]
zealous [AND] spotless [AND] ugly [IMPLY] difficult [PERIOD]
condemned [IMPLY] zealous [PERIOD]
attractive [AND] zealous [AND] gifted [IMPLY] rational [PERIOD]
old-fashioned [AND] pessimistic [IMPLY] disobedient [PERIOD]
disobedient [AND] spotless [IMPLY] talkative [PERIOD]
ugly [AND] attractive [IMPLY] pessimistic [PERIOD]
average [IMPLY] condemned [PERIOD]
condemned [AND] attractive [IMPLY] old-fashioned [PERIOD]
busy [IMPLY] uptight [PERIOD]
spotless [AND] rational [IMPLY] busy [PERIOD]
attractive [AND] spotless [AND] intellectual [IMPLY] tidy [PERIOD]
pleasant [AND] intellectual [IMPLY] rational [PERIOD]
zealous [IMPLY] pessimistic [PERIOD]
disobedient [AND] zealous [AND] pleasant [IMPLY] busy [PERIOD]
ugliest [AND] spotless [AND] talkative [IMPLY] uptight [PERIOD]
pessimistic [AND] ugliest [AND] spotless [IMPLY] old-fashioned [PERIOD]
condemned [AND] busy [IMPLY] intellectual [PERIOD]
uptight [AND] disobedient [IMPLY] zealous [PERIOD]
disobedient [IMPLY] attractive [PERIOD]
intellectual [IMPLY] gifted [PERIOD]
ugliest [AND] average [IMPLY] intellectual [PERIOD]
ugliest [AND] modern [AND] attractive [IMPLY] zealous [PERIOD]
average [AND] gifted [AND] attractive [IMPLY] ugly [PERIOD]
rational [AND] intellectual [AND] uptight [IMPLY] gifted [PERIOD]
rational [AND] pleasant [IMPLY] disobedient [PERIOD]
uptight [AND] gifted [AND] old-fashioned [IMPLY] ugliest [PERIOD]
talkative [AND] difficult [IMPLY] modern [PERIOD]
spotless [IMPLY] zealous [PERIOD]
ugliest [AND] disobedient [IMPLY] intellectual [PERIOD]
difficult [IMPLY] ugly [PERIOD]
old-fashioned [AND] intellectual [IMPLY] ugly [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   busy ⇒ attractive
   condemned ∧ attractive ⇒ old-fashioned
   busy ∧ difficult ⇒ pessimistic
   old-fashioned ∧ pessimistic ⇒ disobedient
",1,4
"Facts:  Alice is troubled [PERIOD] Alice is worrisome [PERIOD] Alice is jittery [PERIOD] Alice is weary [PERIOD] Alice is elegant [PERIOD] Alice is messy [PERIOD] Alice is aggressive [PERIOD] Alice is embarrassed [PERIOD]
Rules:
smart [IMPLY] aggressive [PERIOD]
grumpy [IMPLY] troubled [PERIOD]
weary [AND] troubled [IMPLY] elegant [PERIOD]
aggressive [IMPLY] elegant [PERIOD]
aggressive [IMPLY] grumpy [PERIOD]
worrisome [IMPLY] grumpy [PERIOD]
weary [AND] smart [IMPLY] worrisome [PERIOD]
aggressive [AND] weary [IMPLY] messy [PERIOD]
smart [AND] troubled [AND] embarrassed [IMPLY] aggressive [PERIOD]
smart [AND] troubled [IMPLY] grumpy [PERIOD]
worrisome [AND] weary [AND] grumpy [IMPLY] aggressive [PERIOD]
aggressive [AND] weary [IMPLY] jittery [PERIOD]
embarrassed [AND] smart [AND] grumpy [IMPLY] weary [PERIOD]
grumpy [IMPLY] worrisome [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is vivacious [PERIOD] Alice is hurt [PERIOD] Alice is perfect [PERIOD] Alice is elegant [PERIOD]
Rules:
shy [AND] inquisitive [IMPLY] versatile [PERIOD]
elegant [AND] serious [AND] proud [IMPLY] old-fashioned [PERIOD]
perfect [AND] vivacious [AND] elegant [IMPLY] friendly [PERIOD]
sleepy [IMPLY] vivacious [PERIOD]
helpful [IMPLY] shy [PERIOD]
versatile [AND] amused [IMPLY] inquisitive [PERIOD]
inexpensive [AND] perfect [IMPLY] busy [PERIOD]
wrong [AND] elegant [IMPLY] versatile [PERIOD]
hurt [AND] amused [AND] inexpensive [IMPLY] helpful [PERIOD]
vivacious [IMPLY] alert [PERIOD]
elegant [IMPLY] old-fashioned [PERIOD]
modern [IMPLY] inexpensive [PERIOD]
sleepy [AND] proud [AND] wrong [IMPLY] inquisitive [PERIOD]
serious [AND] busy [IMPLY] amused [PERIOD]
wrong [IMPLY] elegant [PERIOD]
friendly [AND] perfect [AND] modern [IMPLY] sleepy [PERIOD]
calm [IMPLY] shy [PERIOD]
proud [IMPLY] helpful [PERIOD]
hurt [IMPLY] elegant [PERIOD]
proud [IMPLY] calm [PERIOD]
distinct [AND] vivacious [IMPLY] busy [PERIOD]
proud [AND] worried [IMPLY] sleepy [PERIOD]
thoughtful [AND] amused [AND] worried [IMPLY] proud [PERIOD]
amused [AND] vivacious [IMPLY] serious [PERIOD]
perfect [AND] helpful [IMPLY] sleepy [PERIOD]
wrong [IMPLY] vivacious [PERIOD]
elegant [AND] versatile [AND] calm [IMPLY] alert [PERIOD]
busy [AND] versatile [IMPLY] elegant [PERIOD]
inquisitive [AND] amused [IMPLY] wrong [PERIOD]
versatile [AND] friendly [AND] distinct [IMPLY] calm [PERIOD]
old-fashioned [IMPLY] worried [PERIOD]
friendly [IMPLY] amused [PERIOD]
sleepy [AND] disobedient [AND] thoughtful [IMPLY] alert [PERIOD]
busy [AND] sleepy [IMPLY] proud [PERIOD]
disobedient [IMPLY] wrong [PERIOD]
alert [AND] modern [IMPLY] hurt [PERIOD]
perfect [IMPLY] wrong [PERIOD]
proud [AND] old-fashioned [AND] calm [IMPLY] friendly [PERIOD]
amused [AND] vivacious [IMPLY] inexpensive [PERIOD]
inexpensive [AND] alert [IMPLY] inquisitive [PERIOD]
friendly [AND] serious [IMPLY] hurt [PERIOD]
serious [AND] distinct [IMPLY] thoughtful [PERIOD]
serious [AND] worried [IMPLY] friendly [PERIOD]
hurt [IMPLY] amused [PERIOD]
proud [IMPLY] disobedient [PERIOD]
hurt [AND] inquisitive [IMPLY] perfect [PERIOD]
vivacious [IMPLY] disobedient [PERIOD]
shy [IMPLY] perfect [PERIOD]
modern [AND] versatile [AND] disobedient [IMPLY] elegant [PERIOD]
worried [IMPLY] wrong [PERIOD]
helpful [IMPLY] proud [PERIOD]
busy [AND] friendly [AND] serious [IMPLY] perfect [PERIOD]
wrong [IMPLY] amused [PERIOD]
perfect [AND] vivacious [AND] amused [IMPLY] modern [PERIOD]
elegant [AND] helpful [AND] sleepy [IMPLY] vivacious [PERIOD]
perfect [AND] alert [AND] sleepy [IMPLY] serious [PERIOD]
serious [AND] amused [AND] vivacious [IMPLY] hurt [PERIOD]
versatile [AND] amused [AND] modern [IMPLY] perfect [PERIOD]
alert [AND] disobedient [AND] helpful [IMPLY] friendly [PERIOD]
busy [AND] amused [IMPLY] wrong [PERIOD]
inquisitive [IMPLY] alert [PERIOD]
Query: Alice is helpful [PERIOD]","Proof chain:
   hurt ⇒ amused
   hurt ⇒ amused
   amused ∧ vivacious ⇒ inexpensive
   hurt ∧ amused ∧ inexpensive ⇒ helpful
",1,4
"Facts:  Alice is gifted [PERIOD] Alice is straightforward [PERIOD] Alice is dull [PERIOD] Alice is bossy [PERIOD] Alice is inquisitive [PERIOD] Alice is sleepy [PERIOD] Alice is old-fashioned [PERIOD] Alice is embarrassed [PERIOD] Alice is broad-minded [PERIOD] Alice is elegant [PERIOD] Alice is bad-tempered [PERIOD] Alice is hypocritical [PERIOD] Alice is sensible [PERIOD] Alice is inexpensive [PERIOD] Alice is distinct [PERIOD] Alice is wide-eyed [PERIOD] Alice is tense [PERIOD]
Rules:
hypocritical [IMPLY] stupid [PERIOD]
distinct [IMPLY] sleepy [PERIOD]
straightforward [AND] stupid [AND] broad-minded [IMPLY] nervous [PERIOD]
troubled [IMPLY] dull [PERIOD]
broad-minded [AND] nervous [AND] frail [IMPLY] sensible [PERIOD]
broad-minded [AND] troubled [IMPLY] gifted [PERIOD]
wide-eyed [IMPLY] straightforward [PERIOD]
distinct [IMPLY] witty [PERIOD]
wide-eyed [AND] gifted [AND] straightforward [IMPLY] bossy [PERIOD]
embarrassed [IMPLY] witty [PERIOD]
bossy [AND] bad-tempered [AND] straightforward [IMPLY] stupid [PERIOD]
amused [IMPLY] troubled [PERIOD]
gifted [AND] tense [IMPLY] witty [PERIOD]
witty [AND] light [AND] sensible [IMPLY] inquisitive [PERIOD]
inexpensive [AND] embarrassed [AND] stormy [IMPLY] amused [PERIOD]
amused [IMPLY] ugliest [PERIOD]
broad-minded [IMPLY] ugliest [PERIOD]
wide-eyed [AND] inexpensive [IMPLY] gifted [PERIOD]
troubled [IMPLY] embarrassed [PERIOD]
tense [AND] straightforward [AND] dull [IMPLY] distinct [PERIOD]
ugliest [AND] old-fashioned [AND] witty [IMPLY] inquisitive [PERIOD]
wide-eyed [AND] rational [AND] nervous [IMPLY] inquisitive [PERIOD]
amused [AND] bossy [AND] stormy [IMPLY] inexpensive [PERIOD]
stormy [AND] witty [IMPLY] elegant [PERIOD]
nervous [AND] hypocritical [IMPLY] ugliest [PERIOD]
wide-eyed [IMPLY] bad-tempered [PERIOD]
nervous [AND] stormy [IMPLY] distinct [PERIOD]
light [IMPLY] straightforward [PERIOD]
ugliest [AND] elegant [IMPLY] stormy [PERIOD]
tense [AND] stupid [IMPLY] troubled [PERIOD]
nervous [IMPLY] inexpensive [PERIOD]
frail [AND] troubled [AND] embarrassed [IMPLY] sleepy [PERIOD]
elegant [AND] stupid [AND] rational [IMPLY] dull [PERIOD]
embarrassed [IMPLY] inexpensive [PERIOD]
wide-eyed [AND] frail [IMPLY] inquisitive [PERIOD]
gifted [IMPLY] tense [PERIOD]
wide-eyed [AND] witty [AND] straightforward [IMPLY] bossy [PERIOD]
bossy [AND] wide-eyed [IMPLY] sleepy [PERIOD]
ugliest [AND] inquisitive [AND] dull [IMPLY] sensible [PERIOD]
troubled [AND] light [IMPLY] old-fashioned [PERIOD]
nervous [IMPLY] sensible [PERIOD]
light [IMPLY] distinct [PERIOD]
distinct [AND] frail [IMPLY] sensible [PERIOD]
sleepy [AND] stupid [AND] dull [IMPLY] bossy [PERIOD]
frail [IMPLY] sleepy [PERIOD]
bossy [AND] hypocritical [IMPLY] sensible [PERIOD]
bossy [IMPLY] amused [PERIOD]
rational [IMPLY] bossy [PERIOD]
broad-minded [AND] embarrassed [AND] witty [IMPLY] gifted [PERIOD]
frail [AND] inexpensive [AND] ugliest [IMPLY] troubled [PERIOD]
hypocritical [AND] tense [IMPLY] distinct [PERIOD]
troubled [AND] old-fashioned [AND] bad-tempered [IMPLY] broad-minded [PERIOD]
stupid [IMPLY] inquisitive [PERIOD]
frail [IMPLY] inquisitive [PERIOD]
nervous [AND] wide-eyed [AND] tense [IMPLY] bad-tempered [PERIOD]
stupid [AND] bad-tempered [AND] sleepy [IMPLY] elegant [PERIOD]
dull [AND] witty [AND] hypocritical [IMPLY] embarrassed [PERIOD]
inquisitive [IMPLY] bad-tempered [PERIOD]
rational [AND] old-fashioned [AND] sensible [IMPLY] troubled [PERIOD]
troubled [AND] gifted [IMPLY] bossy [PERIOD]
hypocritical [AND] bad-tempered [IMPLY] elegant [PERIOD]
hypocritical [AND] straightforward [AND] nervous [IMPLY] sleepy [PERIOD]
old-fashioned [AND] dull [IMPLY] amused [PERIOD]
ugliest [IMPLY] straightforward [PERIOD]
stormy [AND] sensible [IMPLY] witty [PERIOD]
light [IMPLY] troubled [PERIOD]
bossy [AND] frail [IMPLY] bad-tempered [PERIOD]
sensible [AND] broad-minded [AND] stupid [IMPLY] elegant [PERIOD]
bad-tempered [AND] inexpensive [IMPLY] gifted [PERIOD]
inquisitive [IMPLY] amused [PERIOD]
nervous [IMPLY] light [PERIOD]
witty [AND] old-fashioned [AND] frail [IMPLY] straightforward [PERIOD]
wide-eyed [IMPLY] light [PERIOD]
sensible [AND] rational [IMPLY] broad-minded [PERIOD]
rational [AND] embarrassed [IMPLY] stupid [PERIOD]
old-fashioned [IMPLY] light [PERIOD]
broad-minded [IMPLY] wide-eyed [PERIOD]
old-fashioned [AND] ugliest [AND] elegant [IMPLY] troubled [PERIOD]
witty [IMPLY] frail [PERIOD]
nervous [AND] gifted [AND] embarrassed [IMPLY] broad-minded [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   No rule concludes “rational.”
",0,1
"Facts:  Alice is attentive [PERIOD] Alice is rude [PERIOD] Alice is naughty [PERIOD] Alice is attractive [PERIOD] Alice is amused [PERIOD] Alice is muddy [PERIOD] Alice is dishonest [PERIOD] Alice is pessimistic [PERIOD]
Rules:
broad-minded [AND] hurt [IMPLY] worrisome [PERIOD]
cooperative [AND] hurt [IMPLY] bad-tempered [PERIOD]
worrisome [AND] condemned [AND] horrible [IMPLY] dishonest [PERIOD]
condemned [AND] broad-minded [IMPLY] rude [PERIOD]
attractive [AND] different [IMPLY] fancy [PERIOD]
lonely [IMPLY] dishonest [PERIOD]
helpful [AND] condemned [AND] broad-minded [IMPLY] frantic [PERIOD]
broad-minded [AND] cooperative [IMPLY] condemned [PERIOD]
attentive [IMPLY] broad-minded [PERIOD]
condemned [AND] pessimistic [IMPLY] fragile [PERIOD]
fragile [IMPLY] rude [PERIOD]
broad-minded [AND] cooperative [AND] worrisome [IMPLY] dishonest [PERIOD]
amused [IMPLY] attractive [PERIOD]
attentive [AND] condemned [AND] helpful [IMPLY] amused [PERIOD]
famous [IMPLY] dishonest [PERIOD]
rude [AND] horrible [AND] broad-minded [IMPLY] attentive [PERIOD]
tender [AND] famous [AND] attractive [IMPLY] helpful [PERIOD]
famous [AND] tender [AND] rude [IMPLY] fragile [PERIOD]
ugliest [IMPLY] lonely [PERIOD]
dishonest [AND] naughty [IMPLY] attractive [PERIOD]
hurt [AND] rude [IMPLY] attractive [PERIOD]
worrisome [IMPLY] frantic [PERIOD]
bad-tempered [IMPLY] muddy [PERIOD]
worrisome [IMPLY] condemned [PERIOD]
foolish [AND] frantic [AND] tender [IMPLY] ugliest [PERIOD]
amused [AND] hurt [AND] ugliest [IMPLY] confident [PERIOD]
different [AND] tender [AND] condemned [IMPLY] dishonest [PERIOD]
hurt [AND] fragile [AND] helpful [IMPLY] cooperative [PERIOD]
lonely [AND] ugliest [IMPLY] dishonest [PERIOD]
dishonest [AND] hurt [AND] horrible [IMPLY] helpful [PERIOD]
famous [IMPLY] lonely [PERIOD]
lonely [AND] rude [AND] ugliest [IMPLY] famous [PERIOD]
lonely [AND] amused [AND] foolish [IMPLY] hurt [PERIOD]
helpful [AND] fancy [AND] muddy [IMPLY] attentive [PERIOD]
famous [IMPLY] amused [PERIOD]
frantic [IMPLY] worrisome [PERIOD]
tender [IMPLY] bad-tempered [PERIOD]
pessimistic [AND] broad-minded [AND] bad-tempered [IMPLY] dishonest [PERIOD]
bad-tempered [IMPLY] cooperative [PERIOD]
foolish [AND] fragile [IMPLY] rude [PERIOD]
bad-tempered [AND] broad-minded [AND] fragile [IMPLY] hurt [PERIOD]
amused [AND] muddy [AND] pessimistic [IMPLY] broad-minded [PERIOD]
tender [AND] worrisome [AND] lonely [IMPLY] cooperative [PERIOD]
pessimistic [AND] ugliest [IMPLY] frantic [PERIOD]
cooperative [AND] worrisome [IMPLY] tender [PERIOD]
dishonest [AND] different [AND] condemned [IMPLY] helpful [PERIOD]
amused [AND] foolish [AND] confident [IMPLY] famous [PERIOD]
attentive [AND] rude [AND] dishonest [IMPLY] frantic [PERIOD]
amused [IMPLY] cooperative [PERIOD]
different [AND] pessimistic [AND] ugliest [IMPLY] attentive [PERIOD]
different [AND] lonely [IMPLY] condemned [PERIOD]
helpful [AND] rude [AND] condemned [IMPLY] naughty [PERIOD]
attentive [AND] broad-minded [AND] frantic [IMPLY] fancy [PERIOD]
rude [AND] lonely [IMPLY] condemned [PERIOD]
foolish [AND] bad-tempered [IMPLY] ugliest [PERIOD]
fancy [AND] confident [AND] bad-tempered [IMPLY] condemned [PERIOD]
hurt [AND] bad-tempered [IMPLY] condemned [PERIOD]
dishonest [AND] helpful [AND] frantic [IMPLY] muddy [PERIOD]
cooperative [IMPLY] ugliest [PERIOD]
muddy [AND] pessimistic [IMPLY] foolish [PERIOD]
pessimistic [AND] condemned [IMPLY] attentive [PERIOD]
fancy [IMPLY] naughty [PERIOD]
lonely [IMPLY] pessimistic [PERIOD]
bad-tempered [AND] confident [IMPLY] amused [PERIOD]
bad-tempered [AND] worrisome [IMPLY] fancy [PERIOD]
fragile [AND] horrible [IMPLY] confident [PERIOD]
famous [IMPLY] fancy [PERIOD]
fancy [AND] muddy [AND] attractive [IMPLY] broad-minded [PERIOD]
hurt [AND] lonely [IMPLY] helpful [PERIOD]
bad-tempered [AND] helpful [AND] confident [IMPLY] lonely [PERIOD]
worrisome [IMPLY] pessimistic [PERIOD]
ugliest [AND] fancy [AND] tender [IMPLY] horrible [PERIOD]
fragile [IMPLY] bad-tempered [PERIOD]
foolish [IMPLY] different [PERIOD]
helpful [AND] worrisome [AND] attractive [IMPLY] horrible [PERIOD]
attentive [IMPLY] frantic [PERIOD]
broad-minded [IMPLY] lonely [PERIOD]
lonely [IMPLY] rude [PERIOD]
different [AND] dishonest [AND] frantic [IMPLY] lonely [PERIOD]
ugliest [AND] attentive [AND] naughty [IMPLY] condemned [PERIOD]
hurt [AND] lonely [AND] foolish [IMPLY] different [PERIOD]
attentive [AND] fancy [IMPLY] ugliest [PERIOD]
hurt [AND] fragile [IMPLY] helpful [PERIOD]
naughty [IMPLY] lonely [PERIOD]
fancy [AND] horrible [AND] condemned [IMPLY] pessimistic [PERIOD]
condemned [AND] muddy [IMPLY] pessimistic [PERIOD]
amused [AND] different [AND] frantic [IMPLY] foolish [PERIOD]
lonely [AND] fragile [IMPLY] tender [PERIOD]
worrisome [IMPLY] bad-tempered [PERIOD]
frantic [IMPLY] pessimistic [PERIOD]
rude [AND] cooperative [AND] foolish [IMPLY] frantic [PERIOD]
ugliest [AND] hurt [AND] fancy [IMPLY] naughty [PERIOD]
ugliest [AND] naughty [AND] tender [IMPLY] muddy [PERIOD]
tender [AND] bad-tempered [AND] attentive [IMPLY] famous [PERIOD]
fancy [AND] condemned [IMPLY] worrisome [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   muddy ∧ pessimistic ⇒ foolish
   foolish ⇒ different
",1,2
"Facts:  Alice is combative [PERIOD] Alice is precious [PERIOD] Alice is fancy [PERIOD]
Rules:
wrong [AND] tired [IMPLY] smart [PERIOD]
lonely [IMPLY] sleepy [PERIOD]
wrong [IMPLY] combative [PERIOD]
helpful [IMPLY] selfish [PERIOD]
fancy [AND] smart [IMPLY] precious [PERIOD]
wrong [AND] tired [IMPLY] combative [PERIOD]
wrong [AND] selfish [IMPLY] sleepy [PERIOD]
selfish [AND] tired [IMPLY] sleepy [PERIOD]
smart [AND] helpful [IMPLY] selfish [PERIOD]
helpful [AND] beautiful [AND] selfish [IMPLY] wrong [PERIOD]
fancy [AND] sleepy [AND] precious [IMPLY] beautiful [PERIOD]
sleepy [AND] selfish [AND] lonely [IMPLY] tired [PERIOD]
friendly [IMPLY] combative [PERIOD]
smart [AND] helpful [IMPLY] tired [PERIOD]
calm [AND] selfish [AND] lonely [IMPLY] helpful [PERIOD]
fancy [AND] tired [AND] beautiful [IMPLY] friendly [PERIOD]
smart [AND] gifted [IMPLY] sleepy [PERIOD]
fancy [IMPLY] gifted [PERIOD]
beautiful [AND] calm [AND] selfish [IMPLY] courageous [PERIOD]
selfish [AND] friendly [IMPLY] helpful [PERIOD]
tired [AND] courageous [IMPLY] helpful [PERIOD]
wrong [AND] tired [AND] lonely [IMPLY] fancy [PERIOD]
combative [AND] fancy [AND] helpful [IMPLY] sleepy [PERIOD]
courageous [IMPLY] precious [PERIOD]
lonely [AND] selfish [IMPLY] wrong [PERIOD]
lonely [AND] helpful [AND] beautiful [IMPLY] combative [PERIOD]
fancy [AND] courageous [IMPLY] wrong [PERIOD]
tired [AND] gifted [AND] fancy [IMPLY] calm [PERIOD]
gifted [IMPLY] tired [PERIOD]
tired [IMPLY] beautiful [PERIOD]
friendly [IMPLY] smart [PERIOD]
courageous [AND] fancy [AND] sleepy [IMPLY] wrong [PERIOD]
precious [AND] helpful [AND] courageous [IMPLY] smart [PERIOD]
beautiful [AND] lonely [IMPLY] gifted [PERIOD]
combative [AND] wrong [IMPLY] selfish [PERIOD]
fancy [AND] combative [AND] tired [IMPLY] sleepy [PERIOD]
calm [AND] wrong [AND] selfish [IMPLY] combative [PERIOD]
tired [AND] lonely [IMPLY] combative [PERIOD]
friendly [IMPLY] gifted [PERIOD]
smart [IMPLY] precious [PERIOD]
wrong [AND] lonely [IMPLY] precious [PERIOD]
smart [AND] precious [AND] courageous [IMPLY] calm [PERIOD]
precious [IMPLY] friendly [PERIOD]
tired [AND] courageous [AND] lonely [IMPLY] helpful [PERIOD]
beautiful [IMPLY] calm [PERIOD]
tired [AND] friendly [IMPLY] calm [PERIOD]
calm [AND] tired [IMPLY] courageous [PERIOD]
helpful [AND] lonely [AND] gifted [IMPLY] courageous [PERIOD]
lonely [IMPLY] smart [PERIOD]
selfish [AND] precious [AND] tired [IMPLY] fancy [PERIOD]
tired [AND] courageous [AND] gifted [IMPLY] selfish [PERIOD]
sleepy [AND] fancy [IMPLY] friendly [PERIOD]
smart [IMPLY] beautiful [PERIOD]
helpful [AND] sleepy [IMPLY] tired [PERIOD]
wrong [AND] fancy [AND] combative [IMPLY] lonely [PERIOD]
wrong [IMPLY] lonely [PERIOD]
smart [IMPLY] fancy [PERIOD]
calm [AND] precious [IMPLY] fancy [PERIOD]
tired [AND] gifted [AND] friendly [IMPLY] lonely [PERIOD]
fancy [AND] friendly [AND] tired [IMPLY] sleepy [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is pleasant [PERIOD]
Rules:
smart [IMPLY] tidy [PERIOD]
pleasant [AND] jittery [AND] bright [IMPLY] wrong [PERIOD]
blushing [AND] bright [IMPLY] zealous [PERIOD]
pleasant [IMPLY] frail [PERIOD]
jittery [IMPLY] ugliest [PERIOD]
jittery [AND] ugliest [AND] smart [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] disgusted [PERIOD]
cooperative [IMPLY] tidy [PERIOD]
blushing [AND] disgusted [AND] tidy [IMPLY] jittery [PERIOD]
versatile [AND] zealous [AND] ambitious [IMPLY] bright [PERIOD]
bright [IMPLY] zealous [PERIOD]
tidy [AND] disgusted [IMPLY] blushing [PERIOD]
tidy [AND] cooperative [AND] smart [IMPLY] crowded [PERIOD]
blushing [IMPLY] ambitious [PERIOD]
smart [AND] homely [AND] wrong [IMPLY] frail [PERIOD]
jittery [IMPLY] blushing [PERIOD]
ambitious [AND] smart [AND] horrible [IMPLY] jittery [PERIOD]
zealous [IMPLY] pleasant [PERIOD]
ugliest [IMPLY] ambitious [PERIOD]
jittery [AND] pleasant [IMPLY] smart [PERIOD]
zealous [AND] crowded [IMPLY] pleasant [PERIOD]
crowded [IMPLY] blushing [PERIOD]
wrong [AND] crowded [AND] tidy [IMPLY] ambitious [PERIOD]
ugliest [IMPLY] jittery [PERIOD]
ugliest [IMPLY] versatile [PERIOD]
ambitious [AND] disgusted [AND] crowded [IMPLY] cooperative [PERIOD]
cooperative [AND] ugliest [IMPLY] versatile [PERIOD]
frail [AND] tidy [AND] pleasant [IMPLY] wrong [PERIOD]
pleasant [IMPLY] jittery [PERIOD]
zealous [AND] pleasant [AND] frail [IMPLY] versatile [PERIOD]
tidy [AND] crowded [AND] smart [IMPLY] ambitious [PERIOD]
disgusted [AND] bright [AND] crowded [IMPLY] jittery [PERIOD]
zealous [AND] jittery [AND] blushing [IMPLY] disgusted [PERIOD]
wrong [AND] smart [AND] tidy [IMPLY] blushing [PERIOD]
smart [AND] tidy [IMPLY] disgusted [PERIOD]
horrible [IMPLY] blushing [PERIOD]
zealous [IMPLY] blushing [PERIOD]
pleasant [AND] frail [IMPLY] bright [PERIOD]
ugliest [AND] bright [IMPLY] zealous [PERIOD]
wrong [AND] cooperative [AND] zealous [IMPLY] jittery [PERIOD]
horrible [AND] tidy [IMPLY] bright [PERIOD]
smart [IMPLY] zealous [PERIOD]
tidy [AND] homely [AND] horrible [IMPLY] blushing [PERIOD]
crowded [AND] ugliest [AND] bright [IMPLY] versatile [PERIOD]
tidy [IMPLY] smart [PERIOD]
homely [IMPLY] zealous [PERIOD]
ugliest [AND] cooperative [AND] disgusted [IMPLY] pleasant [PERIOD]
versatile [AND] smart [AND] tidy [IMPLY] crowded [PERIOD]
cooperative [AND] tidy [IMPLY] crowded [PERIOD]
zealous [IMPLY] homely [PERIOD]
jittery [IMPLY] disgusted [PERIOD]
ugliest [IMPLY] horrible [PERIOD]
versatile [IMPLY] ambitious [PERIOD]
pleasant [AND] wrong [IMPLY] jittery [PERIOD]
cooperative [AND] ambitious [IMPLY] wrong [PERIOD]
ugliest [AND] versatile [AND] horrible [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] versatile [PERIOD]
wrong [IMPLY] pleasant [PERIOD]
smart [AND] jittery [AND] ambitious [IMPLY] tidy [PERIOD]
smart [AND] disgusted [IMPLY] jittery [PERIOD]
tidy [IMPLY] horrible [PERIOD]
horrible [AND] ugliest [IMPLY] wrong [PERIOD]
zealous [AND] tidy [AND] ugliest [IMPLY] disgusted [PERIOD]
pleasant [AND] jittery [AND] tidy [IMPLY] smart [PERIOD]
blushing [IMPLY] frail [PERIOD]
homely [IMPLY] blushing [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   pleasant ⇒ jittery
   pleasant ⇒ jittery
   jittery ⇒ ugliest
   pleasant ⇒ jittery
   jittery ∧ pleasant ⇒ smart
   jittery ∧ ugliest ∧ smart ⇒ cooperative
",1,6
"Facts:  Alice is different [PERIOD] Alice is strange [PERIOD] Alice is stubborn [PERIOD]
Rules:
smart [AND] witty [IMPLY] elated [PERIOD]
naughty [AND] elated [AND] outrageous [IMPLY] famous [PERIOD]
naughty [AND] stubborn [IMPLY] sensible [PERIOD]
smart [AND] famous [IMPLY] elated [PERIOD]
smart [IMPLY] different [PERIOD]
different [AND] fearless [AND] sensible [IMPLY] naughty [PERIOD]
famous [AND] stubborn [AND] smart [IMPLY] sensible [PERIOD]
elated [IMPLY] famous [PERIOD]
smart [AND] fearless [IMPLY] naughty [PERIOD]
different [IMPLY] witty [PERIOD]
naughty [IMPLY] witty [PERIOD]
naughty [AND] outrageous [IMPLY] stubborn [PERIOD]
witty [AND] fearless [IMPLY] elated [PERIOD]
different [AND] famous [IMPLY] outrageous [PERIOD]
strange [IMPLY] sensible [PERIOD]
outrageous [AND] elated [IMPLY] naughty [PERIOD]
naughty [AND] witty [IMPLY] stubborn [PERIOD]
famous [AND] elated [AND] strange [IMPLY] naughty [PERIOD]
fearless [AND] witty [AND] different [IMPLY] outrageous [PERIOD]
smart [AND] different [AND] famous [IMPLY] naughty [PERIOD]
fearless [AND] outrageous [IMPLY] famous [PERIOD]
strange [AND] witty [IMPLY] outrageous [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   different ⇒ witty
   strange ∧ witty ⇒ outrageous
   Cannot apply rule “naughty ∧ elated ∧ outrageous ⇒ famous” because missing: naughty, elated.
   Cannot apply rule “elated ⇒ famous” because missing: elated.
   different ⇒ witty
   strange ∧ witty ⇒ outrageous
   Cannot apply rule “fearless ∧ outrageous ⇒ famous” because missing: fearless.
",0,7
"Facts:  Alice is adorable [PERIOD] Alice is tidy [PERIOD] Alice is careless [PERIOD] Alice is alert [PERIOD] Alice is thoughtful [PERIOD] Alice is worrisome [PERIOD] Alice is hurt [PERIOD] Alice is curious [PERIOD] Alice is jittery [PERIOD] Alice is popular [PERIOD] Alice is calm [PERIOD] Alice is cooperative [PERIOD]
Rules:
popular [AND] gorgeous [AND] adorable [IMPLY] careless [PERIOD]
worrisome [AND] curious [AND] excited [IMPLY] broad-minded [PERIOD]
curious [AND] hurt [AND] cooperative [IMPLY] exuberant [PERIOD]
popular [AND] excited [IMPLY] worrisome [PERIOD]
worrisome [AND] scared [IMPLY] jittery [PERIOD]
tense [AND] bored [AND] foolish [IMPLY] polite [PERIOD]
tense [AND] fancy [AND] exuberant [IMPLY] worrisome [PERIOD]
jittery [IMPLY] calm [PERIOD]
tense [AND] thoughtful [AND] careless [IMPLY] horrible [PERIOD]
tidy [IMPLY] adorable [PERIOD]
curious [AND] enchanting [AND] adorable [IMPLY] horrible [PERIOD]
hurt [AND] popular [IMPLY] alert [PERIOD]
careless [AND] broad-minded [AND] hurt [IMPLY] alert [PERIOD]
calm [AND] alert [IMPLY] worrisome [PERIOD]
foolish [AND] gorgeous [IMPLY] calm [PERIOD]
careless [AND] exuberant [IMPLY] enchanting [PERIOD]
gorgeous [AND] tidy [AND] exuberant [IMPLY] cooperative [PERIOD]
worrisome [AND] thoughtful [AND] inexpensive [IMPLY] adorable [PERIOD]
hurt [IMPLY] scared [PERIOD]
exuberant [IMPLY] enchanting [PERIOD]
tense [AND] adorable [AND] cooperative [IMPLY] hurt [PERIOD]
jittery [AND] polite [AND] broad-minded [IMPLY] bored [PERIOD]
tidy [IMPLY] hurt [PERIOD]
scared [AND] gorgeous [AND] calm [IMPLY] curious [PERIOD]
bored [AND] enchanting [AND] tidy [IMPLY] exuberant [PERIOD]
careless [AND] excited [IMPLY] hurt [PERIOD]
gorgeous [AND] scared [IMPLY] thoughtful [PERIOD]
careless [AND] broad-minded [AND] excited [IMPLY] gorgeous [PERIOD]
enchanting [AND] horrible [IMPLY] calm [PERIOD]
inexpensive [AND] foolish [AND] broad-minded [IMPLY] jittery [PERIOD]
enchanting [IMPLY] polite [PERIOD]
tidy [IMPLY] worrisome [PERIOD]
thoughtful [IMPLY] worrisome [PERIOD]
calm [IMPLY] scared [PERIOD]
jittery [IMPLY] tense [PERIOD]
alert [AND] jittery [IMPLY] foolish [PERIOD]
worrisome [AND] alert [AND] calm [IMPLY] adorable [PERIOD]
inexpensive [AND] alert [IMPLY] fancy [PERIOD]
cooperative [IMPLY] tidy [PERIOD]
alert [AND] broad-minded [AND] worrisome [IMPLY] popular [PERIOD]
adorable [AND] exuberant [IMPLY] careless [PERIOD]
polite [AND] tense [AND] inexpensive [IMPLY] bored [PERIOD]
jittery [IMPLY] horrible [PERIOD]
tense [AND] adorable [IMPLY] broad-minded [PERIOD]
thoughtful [IMPLY] foolish [PERIOD]
popular [AND] careless [IMPLY] thoughtful [PERIOD]
jittery [IMPLY] cooperative [PERIOD]
scared [AND] excited [IMPLY] calm [PERIOD]
thoughtful [IMPLY] alert [PERIOD]
bored [IMPLY] hurt [PERIOD]
excited [AND] scared [IMPLY] popular [PERIOD]
gorgeous [IMPLY] polite [PERIOD]
broad-minded [AND] alert [AND] jittery [IMPLY] hurt [PERIOD]
careless [IMPLY] worrisome [PERIOD]
inexpensive [AND] worrisome [AND] polite [IMPLY] tense [PERIOD]
thoughtful [AND] popular [AND] jittery [IMPLY] gorgeous [PERIOD]
exuberant [AND] enchanting [AND] popular [IMPLY] horrible [PERIOD]
tidy [AND] adorable [IMPLY] fancy [PERIOD]
horrible [AND] broad-minded [IMPLY] polite [PERIOD]
worrisome [AND] gorgeous [AND] alert [IMPLY] foolish [PERIOD]
tidy [AND] foolish [AND] calm [IMPLY] excited [PERIOD]
thoughtful [IMPLY] cooperative [PERIOD]
alert [AND] calm [AND] tidy [IMPLY] polite [PERIOD]
tidy [AND] foolish [IMPLY] thoughtful [PERIOD]
enchanting [AND] careless [AND] alert [IMPLY] tense [PERIOD]
careless [IMPLY] cooperative [PERIOD]
fancy [IMPLY] excited [PERIOD]
broad-minded [AND] horrible [IMPLY] inexpensive [PERIOD]
alert [AND] tense [AND] jittery [IMPLY] horrible [PERIOD]
adorable [IMPLY] curious [PERIOD]
foolish [AND] careless [IMPLY] enchanting [PERIOD]
foolish [AND] popular [AND] tidy [IMPLY] thoughtful [PERIOD]
horrible [AND] inexpensive [IMPLY] worrisome [PERIOD]
scared [IMPLY] exuberant [PERIOD]
worrisome [AND] scared [AND] fancy [IMPLY] careless [PERIOD]
popular [AND] jittery [AND] alert [IMPLY] gorgeous [PERIOD]
tense [AND] inexpensive [IMPLY] fancy [PERIOD]
foolish [AND] adorable [AND] excited [IMPLY] tense [PERIOD]
jittery [IMPLY] exuberant [PERIOD]
broad-minded [AND] alert [IMPLY] fancy [PERIOD]
alert [AND] foolish [AND] cooperative [IMPLY] scared [PERIOD]
inexpensive [AND] curious [IMPLY] alert [PERIOD]
worrisome [AND] exuberant [AND] scared [IMPLY] enchanting [PERIOD]
inexpensive [IMPLY] tense [PERIOD]
horrible [IMPLY] tense [PERIOD]
excited [IMPLY] worrisome [PERIOD]
jittery [AND] polite [IMPLY] calm [PERIOD]
tense [IMPLY] exuberant [PERIOD]
foolish [IMPLY] curious [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   jittery ⇒ tense
   tense ∧ adorable ⇒ broad-minded
",1,2
"Facts:  Alice is reserved [PERIOD]
Rules:
gorgeous [AND] grumpy [IMPLY] foolish [PERIOD]
wandering [AND] foolish [IMPLY] fancy [PERIOD]
ambitious [AND] embarrassed [IMPLY] glamorous [PERIOD]
disgusted [AND] gorgeous [IMPLY] weary [PERIOD]
different [AND] reserved [IMPLY] weary [PERIOD]
shy [AND] messy [IMPLY] wandering [PERIOD]
embarrassed [AND] weary [AND] grumpy [IMPLY] gorgeous [PERIOD]
dishonest [IMPLY] homely [PERIOD]
fancy [AND] muddy [IMPLY] wandering [PERIOD]
different [AND] embarrassed [IMPLY] grumpy [PERIOD]
glamorous [AND] embarrassed [AND] grumpy [IMPLY] wandering [PERIOD]
bad-tempered [AND] messy [IMPLY] muddy [PERIOD]
wandering [AND] tidy [AND] powerful [IMPLY] disgusted [PERIOD]
ambitious [AND] reserved [AND] bad-tempered [IMPLY] courageous [PERIOD]
disgusted [AND] dishonest [IMPLY] different [PERIOD]
reserved [AND] wandering [IMPLY] different [PERIOD]
different [IMPLY] muddy [PERIOD]
disgusted [IMPLY] shy [PERIOD]
inexpensive [IMPLY] tidy [PERIOD]
disgusted [IMPLY] glamorous [PERIOD]
foolish [AND] confused [AND] embarrassed [IMPLY] different [PERIOD]
bad-tempered [IMPLY] wandering [PERIOD]
shy [AND] dishonest [IMPLY] homely [PERIOD]
embarrassed [IMPLY] tidy [PERIOD]
bad-tempered [IMPLY] tidy [PERIOD]
shy [AND] muddy [IMPLY] troubled [PERIOD]
different [AND] powerful [IMPLY] careless [PERIOD]
confused [AND] homely [AND] wandering [IMPLY] foolish [PERIOD]
dishonest [AND] courageous [AND] inexpensive [IMPLY] gorgeous [PERIOD]
embarrassed [AND] grumpy [IMPLY] powerful [PERIOD]
troubled [AND] glamorous [AND] shy [IMPLY] reserved [PERIOD]
troubled [AND] wandering [IMPLY] inexpensive [PERIOD]
disgusted [AND] ambitious [IMPLY] fancy [PERIOD]
reserved [AND] careless [IMPLY] courageous [PERIOD]
powerful [AND] muddy [IMPLY] gorgeous [PERIOD]
inexpensive [IMPLY] polite [PERIOD]
weary [AND] troubled [IMPLY] dishonest [PERIOD]
wandering [IMPLY] tidy [PERIOD]
grumpy [IMPLY] gorgeous [PERIOD]
troubled [AND] inexpensive [AND] reserved [IMPLY] dishonest [PERIOD]
muddy [AND] tidy [IMPLY] confused [PERIOD]
powerful [AND] fancy [AND] dishonest [IMPLY] muddy [PERIOD]
homely [IMPLY] dishonest [PERIOD]
fancy [IMPLY] troubled [PERIOD]
bad-tempered [IMPLY] troubled [PERIOD]
disgusted [IMPLY] messy [PERIOD]
dishonest [AND] gorgeous [AND] tidy [IMPLY] foolish [PERIOD]
ambitious [AND] embarrassed [IMPLY] polite [PERIOD]
inexpensive [AND] embarrassed [IMPLY] troubled [PERIOD]
careless [IMPLY] glamorous [PERIOD]
inexpensive [AND] weary [IMPLY] wandering [PERIOD]
polite [AND] wandering [IMPLY] confused [PERIOD]
polite [IMPLY] bad-tempered [PERIOD]
embarrassed [AND] bad-tempered [IMPLY] muddy [PERIOD]
disgusted [AND] powerful [IMPLY] dishonest [PERIOD]
inexpensive [AND] foolish [IMPLY] fancy [PERIOD]
inexpensive [AND] different [IMPLY] wandering [PERIOD]
confused [IMPLY] foolish [PERIOD]
foolish [AND] glamorous [AND] reserved [IMPLY] courageous [PERIOD]
grumpy [AND] dishonest [IMPLY] tidy [PERIOD]
tidy [AND] fancy [IMPLY] ambitious [PERIOD]
confused [AND] tidy [IMPLY] glamorous [PERIOD]
gorgeous [AND] grumpy [AND] muddy [IMPLY] different [PERIOD]
courageous [AND] homely [AND] dishonest [IMPLY] powerful [PERIOD]
tidy [IMPLY] different [PERIOD]
reserved [IMPLY] messy [PERIOD]
weary [AND] messy [AND] glamorous [IMPLY] different [PERIOD]
bad-tempered [AND] weary [AND] messy [IMPLY] ambitious [PERIOD]
glamorous [AND] bad-tempered [AND] polite [IMPLY] powerful [PERIOD]
courageous [AND] dishonest [IMPLY] glamorous [PERIOD]
dishonest [AND] courageous [IMPLY] careless [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   Cannot apply rule “disgusted ∧ gorgeous ⇒ weary” because missing: disgusted, gorgeous.
   Cannot apply rule “different ∧ reserved ⇒ weary” because missing: different.
",0,2
"Facts:  Alice is light [PERIOD] Alice is comfortable [PERIOD]
Rules:
sincere [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] blushing [PERIOD]
different [IMPLY] vivacious [PERIOD]
combative [IMPLY] average [PERIOD]
combative [AND] different [AND] light [IMPLY] average [PERIOD]
combative [IMPLY] light [PERIOD]
comfortable [AND] different [IMPLY] sincere [PERIOD]
vivacious [IMPLY] sincere [PERIOD]
sincere [AND] comfortable [IMPLY] light [PERIOD]
different [AND] average [AND] sincere [IMPLY] vivacious [PERIOD]
sincere [AND] comfortable [AND] blushing [IMPLY] vivacious [PERIOD]
different [AND] comfortable [AND] combative [IMPLY] blushing [PERIOD]
average [IMPLY] different [PERIOD]
average [AND] different [AND] vivacious [IMPLY] blushing [PERIOD]
vivacious [IMPLY] combative [PERIOD]
sincere [AND] different [IMPLY] comfortable [PERIOD]
sincere [IMPLY] different [PERIOD]
average [AND] sincere [IMPLY] vivacious [PERIOD]
sincere [AND] light [AND] vivacious [IMPLY] average [PERIOD]
light [AND] average [IMPLY] combative [PERIOD]
combative [IMPLY] sincere [PERIOD]
blushing [IMPLY] different [PERIOD]
combative [AND] light [AND] sincere [IMPLY] different [PERIOD]
vivacious [AND] sincere [AND] average [IMPLY] different [PERIOD]
different [AND] light [IMPLY] combative [PERIOD]
average [AND] blushing [AND] different [IMPLY] light [PERIOD]
average [AND] light [AND] blushing [IMPLY] combative [PERIOD]
light [AND] blushing [IMPLY] sincere [PERIOD]
light [AND] vivacious [AND] average [IMPLY] blushing [PERIOD]
combative [AND] different [IMPLY] average [PERIOD]
blushing [AND] sincere [AND] combative [IMPLY] vivacious [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   Cannot apply rule “sincere ⇒ vivacious” because missing: sincere.
   Cannot apply rule “different ⇒ vivacious” because missing: different.
   Cannot apply rule “different ∧ average ∧ sincere ⇒ vivacious” because missing: different, average, sincere.
   Cannot apply rule “sincere ∧ comfortable ∧ blushing ⇒ vivacious” because missing: sincere, blushing.
   Cannot apply rule “average ∧ sincere ⇒ vivacious” because missing: average, sincere.
   Cannot apply rule “blushing ∧ sincere ∧ combative ⇒ vivacious” because missing: blushing, sincere, combative.
",0,6
"Facts:  Alice is inquisitive [PERIOD] Alice is average [PERIOD] Alice is pessimistic [PERIOD] Alice is hurt [PERIOD] Alice is talkative [PERIOD] Alice is tense [PERIOD] Alice is inexpensive [PERIOD] Alice is anxious [PERIOD] Alice is outrageous [PERIOD] Alice is hypocritical [PERIOD] Alice is ambitious [PERIOD] Alice is disobedient [PERIOD]
Rules:
anxious [AND] talkative [IMPLY] disobedient [PERIOD]
pessimistic [AND] gorgeous [IMPLY] outrageous [PERIOD]
easy [IMPLY] bright [PERIOD]
ambitious [IMPLY] gorgeous [PERIOD]
aggressive [IMPLY] gorgeous [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   No rule concludes “pleasant.”
",0,1
"Facts: 
Rules:
attentive [AND] busy [AND] uptight [IMPLY] long [PERIOD]
unpleasant [AND] gleaming [AND] fearless [IMPLY] wrong [PERIOD]
fearless [AND] thoughtful [IMPLY] unpleasant [PERIOD]
thoughtful [AND] powerful [AND] uptight [IMPLY] unpleasant [PERIOD]
beautiful [IMPLY] attentive [PERIOD]
powerful [IMPLY] busy [PERIOD]
exuberant [AND] frail [IMPLY] wrong [PERIOD]
intellectual [AND] fearless [AND] beautiful [IMPLY] thoughtful [PERIOD]
reserved [AND] selfish [IMPLY] attentive [PERIOD]
unpleasant [IMPLY] selfish [PERIOD]
average [AND] frail [AND] unpleasant [IMPLY] fearless [PERIOD]
powerful [AND] average [AND] intellectual [IMPLY] selfish [PERIOD]
intellectual [AND] enchanting [AND] lucky [IMPLY] reserved [PERIOD]
intellectual [IMPLY] unpleasant [PERIOD]
powerful [AND] unpleasant [IMPLY] average [PERIOD]
powerful [IMPLY] exuberant [PERIOD]
intellectual [AND] long [AND] attentive [IMPLY] gleaming [PERIOD]
enchanting [AND] fearless [IMPLY] beautiful [PERIOD]
average [AND] fearless [IMPLY] long [PERIOD]
busy [AND] selfish [AND] reserved [IMPLY] beautiful [PERIOD]
frail [AND] long [IMPLY] unpleasant [PERIOD]
selfish [AND] long [IMPLY] gleaming [PERIOD]
average [AND] enchanting [AND] lucky [IMPLY] long [PERIOD]
reserved [IMPLY] intellectual [PERIOD]
busy [IMPLY] beautiful [PERIOD]
wrong [IMPLY] attentive [PERIOD]
long [AND] powerful [IMPLY] lucky [PERIOD]
lucky [AND] beautiful [IMPLY] powerful [PERIOD]
enchanting [AND] powerful [IMPLY] long [PERIOD]
beautiful [AND] busy [AND] unpleasant [IMPLY] average [PERIOD]
beautiful [AND] thoughtful [AND] uptight [IMPLY] selfish [PERIOD]
wrong [AND] enchanting [IMPLY] exuberant [PERIOD]
frail [AND] wrong [AND] uptight [IMPLY] enchanting [PERIOD]
selfish [AND] unpleasant [AND] busy [IMPLY] gleaming [PERIOD]
gleaming [AND] uptight [AND] attentive [IMPLY] beautiful [PERIOD]
thoughtful [AND] exuberant [IMPLY] long [PERIOD]
busy [AND] uptight [IMPLY] attentive [PERIOD]
gleaming [IMPLY] attentive [PERIOD]
gleaming [IMPLY] intellectual [PERIOD]
average [IMPLY] gleaming [PERIOD]
selfish [AND] average [IMPLY] attentive [PERIOD]
powerful [AND] attentive [IMPLY] uptight [PERIOD]
unpleasant [IMPLY] average [PERIOD]
average [AND] powerful [AND] thoughtful [IMPLY] unpleasant [PERIOD]
thoughtful [AND] intellectual [AND] lucky [IMPLY] reserved [PERIOD]
enchanting [AND] average [AND] selfish [IMPLY] intellectual [PERIOD]
uptight [AND] attentive [IMPLY] lucky [PERIOD]
average [AND] long [AND] unpleasant [IMPLY] reserved [PERIOD]
fearless [IMPLY] intellectual [PERIOD]
lucky [AND] thoughtful [IMPLY] long [PERIOD]
powerful [AND] thoughtful [IMPLY] lucky [PERIOD]
gleaming [IMPLY] enchanting [PERIOD]
uptight [AND] frail [IMPLY] powerful [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   Cannot apply rule “average ∧ frail ∧ unpleasant ⇒ fearless” because missing: average, frail, unpleasant.
",0,1
"Facts:  Alice is hypocritical [PERIOD] Alice is comfortable [PERIOD]
Rules:
comfortable [IMPLY] adorable [PERIOD]
adorable [IMPLY] comfortable [PERIOD]
careless [AND] comfortable [IMPLY] hypocritical [PERIOD]
adorable [AND] comfortable [AND] outrageous [IMPLY] condemned [PERIOD]
careless [IMPLY] condemned [PERIOD]
adorable [AND] condemned [AND] comfortable [IMPLY] hypocritical [PERIOD]
careless [AND] hypocritical [AND] comfortable [IMPLY] condemned [PERIOD]
condemned [IMPLY] comfortable [PERIOD]
careless [AND] adorable [AND] hypocritical [IMPLY] outrageous [PERIOD]
adorable [IMPLY] careless [PERIOD]
outrageous [AND] hypocritical [AND] comfortable [IMPLY] condemned [PERIOD]
Query: Alice is outrageous [PERIOD]","Proof chain:
   comfortable ⇒ adorable
   adorable ⇒ careless
   comfortable ⇒ adorable
   careless ∧ adorable ∧ hypocritical ⇒ outrageous
",1,4
"Facts:  Alice is easy [PERIOD] Alice is ambitious [PERIOD] Alice is stormy [PERIOD]
Rules:
ambitious [AND] careless [IMPLY] silly [PERIOD]
easy [AND] grumpy [IMPLY] careless [PERIOD]
intellectual [AND] ambitious [IMPLY] easy [PERIOD]
ambitious [IMPLY] grumpy [PERIOD]
intellectual [AND] easy [IMPLY] good [PERIOD]
intellectual [IMPLY] stormy [PERIOD]
silly [AND] ambitious [AND] grumpy [IMPLY] stormy [PERIOD]
easy [AND] intellectual [AND] stormy [IMPLY] silly [PERIOD]
careless [AND] silly [IMPLY] easy [PERIOD]
stormy [IMPLY] good [PERIOD]
intellectual [IMPLY] ambitious [PERIOD]
careless [IMPLY] stormy [PERIOD]
careless [AND] good [AND] silly [IMPLY] intellectual [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   ambitious ⇒ grumpy
   easy ∧ grumpy ⇒ careless
   stormy ⇒ good
   ambitious ⇒ grumpy
   easy ∧ grumpy ⇒ careless
   ambitious ∧ careless ⇒ silly
   careless ∧ good ∧ silly ⇒ intellectual
",1,7
"Facts: 
Rules:
pleasant [AND] loving [IMPLY] combative [PERIOD]
talented [IMPLY] supportive [PERIOD]
courageous [AND] pessimistic [AND] supportive [IMPLY] sleepy [PERIOD]
pessimistic [AND] pleasant [IMPLY] loving [PERIOD]
loving [AND] gifted [AND] talented [IMPLY] combative [PERIOD]
bright [AND] combative [IMPLY] loving [PERIOD]
elegant [AND] sleepy [IMPLY] talented [PERIOD]
courageous [AND] elegant [IMPLY] bright [PERIOD]
combative [AND] loving [IMPLY] sleepy [PERIOD]
talented [IMPLY] gifted [PERIOD]
loving [IMPLY] beautiful [PERIOD]
pessimistic [IMPLY] elegant [PERIOD]
gifted [AND] loving [AND] pleasant [IMPLY] bored [PERIOD]
gifted [AND] combative [AND] supportive [IMPLY] smart [PERIOD]
talented [IMPLY] combative [PERIOD]
loving [AND] bored [IMPLY] talented [PERIOD]
talented [AND] gifted [AND] elegant [IMPLY] bright [PERIOD]
courageous [AND] smart [IMPLY] supportive [PERIOD]
sleepy [AND] bored [IMPLY] talented [PERIOD]
sleepy [IMPLY] beautiful [PERIOD]
pessimistic [AND] smart [IMPLY] supportive [PERIOD]
loving [AND] elegant [AND] sleepy [IMPLY] bright [PERIOD]
elegant [AND] pleasant [IMPLY] smart [PERIOD]
supportive [AND] elegant [IMPLY] loving [PERIOD]
smart [AND] supportive [IMPLY] bored [PERIOD]
loving [AND] bored [IMPLY] sleepy [PERIOD]
courageous [AND] gifted [AND] talented [IMPLY] supportive [PERIOD]
gifted [AND] elegant [IMPLY] loving [PERIOD]
courageous [IMPLY] supportive [PERIOD]
bright [AND] bored [AND] courageous [IMPLY] supportive [PERIOD]
gifted [IMPLY] bored [PERIOD]
loving [AND] smart [IMPLY] supportive [PERIOD]
beautiful [IMPLY] supportive [PERIOD]
supportive [IMPLY] talented [PERIOD]
sleepy [AND] elegant [AND] smart [IMPLY] beautiful [PERIOD]
pleasant [AND] elegant [AND] courageous [IMPLY] loving [PERIOD]
combative [IMPLY] pleasant [PERIOD]
pessimistic [IMPLY] pleasant [PERIOD]
bright [AND] bored [AND] loving [IMPLY] elegant [PERIOD]
gifted [IMPLY] elegant [PERIOD]
loving [AND] bright [AND] supportive [IMPLY] beautiful [PERIOD]
courageous [AND] pessimistic [IMPLY] gifted [PERIOD]
gifted [AND] talented [IMPLY] elegant [PERIOD]
pessimistic [AND] beautiful [IMPLY] supportive [PERIOD]
pessimistic [AND] bored [AND] beautiful [IMPLY] elegant [PERIOD]
pleasant [AND] pessimistic [IMPLY] talented [PERIOD]
beautiful [AND] smart [AND] elegant [IMPLY] pleasant [PERIOD]
gifted [AND] courageous [AND] bored [IMPLY] pleasant [PERIOD]
smart [AND] gifted [IMPLY] bright [PERIOD]
loving [IMPLY] courageous [PERIOD]
pleasant [AND] sleepy [IMPLY] pessimistic [PERIOD]
sleepy [AND] bored [AND] smart [IMPLY] talented [PERIOD]
pleasant [IMPLY] elegant [PERIOD]
elegant [IMPLY] beautiful [PERIOD]
supportive [IMPLY] pleasant [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   Cannot apply rule “combative ⇒ pleasant” because missing: combative.
   Cannot apply rule “pessimistic ⇒ pleasant” because missing: pessimistic.
   Cannot apply rule “beautiful ∧ smart ∧ elegant ⇒ pleasant” because missing: beautiful, smart, elegant.
   Cannot apply rule “gifted ∧ courageous ∧ bored ⇒ pleasant” because missing: gifted, courageous, bored.
   Cannot apply rule “supportive ⇒ pleasant” because missing: supportive.
",0,5
"Facts:  Alice is stubborn [PERIOD] Alice is loving [PERIOD] Alice is average [PERIOD] Alice is smart [PERIOD] Alice is stormy [PERIOD]
Rules:
tense [AND] reserved [IMPLY] jittery [PERIOD]
helpful [IMPLY] stormy [PERIOD]
loving [IMPLY] precious [PERIOD]
uptight [AND] frail [IMPLY] jittery [PERIOD]
jittery [AND] stormy [AND] crowded [IMPLY] helpful [PERIOD]
jittery [AND] loving [AND] wide-eyed [IMPLY] reserved [PERIOD]
loving [AND] precious [AND] crowded [IMPLY] frail [PERIOD]
jittery [IMPLY] loving [PERIOD]
average [AND] uptight [AND] helpful [IMPLY] loving [PERIOD]
precious [AND] crowded [AND] stubborn [IMPLY] average [PERIOD]
tense [IMPLY] precious [PERIOD]
uptight [AND] precious [AND] loving [IMPLY] helpful [PERIOD]
stubborn [AND] smart [AND] loving [IMPLY] uptight [PERIOD]
crowded [AND] uptight [IMPLY] frail [PERIOD]
average [AND] helpful [AND] crowded [IMPLY] wide-eyed [PERIOD]
frail [IMPLY] tense [PERIOD]
wide-eyed [IMPLY] smart [PERIOD]
frail [IMPLY] reserved [PERIOD]
average [AND] stubborn [IMPLY] helpful [PERIOD]
crowded [IMPLY] stormy [PERIOD]
reserved [AND] average [IMPLY] wide-eyed [PERIOD]
uptight [AND] loving [IMPLY] frail [PERIOD]
loving [AND] crowded [IMPLY] helpful [PERIOD]
smart [IMPLY] loving [PERIOD]
average [IMPLY] precious [PERIOD]
helpful [AND] smart [IMPLY] loving [PERIOD]
average [AND] stormy [IMPLY] wide-eyed [PERIOD]
crowded [IMPLY] stubborn [PERIOD]
frail [AND] average [AND] crowded [IMPLY] uptight [PERIOD]
loving [AND] helpful [IMPLY] wide-eyed [PERIOD]
loving [AND] precious [IMPLY] stormy [PERIOD]
stubborn [AND] reserved [IMPLY] crowded [PERIOD]
loving [IMPLY] uptight [PERIOD]
tense [AND] wide-eyed [IMPLY] helpful [PERIOD]
reserved [AND] stormy [AND] loving [IMPLY] wide-eyed [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   loving ⇒ uptight
   uptight ∧ loving ⇒ frail
   frail ⇒ reserved
   stubborn ∧ reserved ⇒ crowded
",1,4
"Facts:  Alice is good [PERIOD] Alice is cooperative [PERIOD] Alice is weary [PERIOD] Alice is jittery [PERIOD] Alice is selfish [PERIOD] Alice is hurt [PERIOD] Alice is polite [PERIOD] Alice is quaint [PERIOD] Alice is wrong [PERIOD] Alice is old-fashioned [PERIOD] Alice is enchanting [PERIOD] Alice is wide-eyed [PERIOD] Alice is clean [PERIOD] Alice is disobedient [PERIOD] Alice is worrisome [PERIOD] Alice is frantic [PERIOD] Alice is attractive [PERIOD] Alice is long [PERIOD] Alice is condemned [PERIOD] Alice is curious [PERIOD] Alice is stormy [PERIOD] Alice is mysterious [PERIOD] Alice is ambitious [PERIOD] Alice is strange [PERIOD] Alice is hypocritical [PERIOD] Alice is adorable [PERIOD] Alice is foolish [PERIOD]
Rules:
wrong [IMPLY] hypocritical [PERIOD]
curious [IMPLY] wrong [PERIOD]
worrisome [IMPLY] clean [PERIOD]
hypocritical [IMPLY] stormy [PERIOD]
adorable [IMPLY] crowded [PERIOD]
frantic [IMPLY] quaint [PERIOD]
good [AND] worrisome [AND] quaint [IMPLY] polite [PERIOD]
wide-eyed [AND] disobedient [AND] quaint [IMPLY] strange [PERIOD]
quaint [AND] unpleasant [IMPLY] hypocritical [PERIOD]
quaint [IMPLY] hurt [PERIOD]
ambitious [AND] old-fashioned [AND] mysterious [IMPLY] hurt [PERIOD]
jittery [AND] attractive [IMPLY] wrong [PERIOD]
stormy [AND] cooperative [AND] innocent [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] stormy [AND] unpleasant [IMPLY] good [PERIOD]
old-fashioned [AND] hurt [IMPLY] attractive [PERIOD]
weary [AND] enchanting [IMPLY] frantic [PERIOD]
crowded [IMPLY] clean [PERIOD]
quaint [IMPLY] selfish [PERIOD]
wrong [IMPLY] stormy [PERIOD]
wide-eyed [AND] strange [AND] crowded [IMPLY] clean [PERIOD]
clean [IMPLY] jittery [PERIOD]
enchanting [IMPLY] weary [PERIOD]
unpleasant [AND] stormy [IMPLY] worrisome [PERIOD]
strange [AND] ambitious [IMPLY] attractive [PERIOD]
innocent [AND] quaint [AND] cooperative [IMPLY] worrisome [PERIOD]
curious [AND] jittery [AND] innocent [IMPLY] stormy [PERIOD]
stormy [AND] curious [IMPLY] unpleasant [PERIOD]
condemned [IMPLY] cooperative [PERIOD]
innocent [AND] adorable [IMPLY] strange [PERIOD]
mysterious [AND] good [AND] crowded [IMPLY] curious [PERIOD]
stormy [AND] worrisome [AND] long [IMPLY] disobedient [PERIOD]
adorable [AND] condemned [IMPLY] stormy [PERIOD]
attractive [IMPLY] wide-eyed [PERIOD]
unpleasant [IMPLY] worrisome [PERIOD]
enchanting [AND] attractive [IMPLY] innocent [PERIOD]
frantic [AND] innocent [IMPLY] worrisome [PERIOD]
cooperative [IMPLY] curious [PERIOD]
hurt [AND] innocent [AND] ambitious [IMPLY] stormy [PERIOD]
foolish [AND] innocent [AND] disobedient [IMPLY] stormy [PERIOD]
long [IMPLY] wide-eyed [PERIOD]
stormy [AND] hurt [IMPLY] jittery [PERIOD]
curious [IMPLY] hypocritical [PERIOD]
polite [IMPLY] long [PERIOD]
ambitious [AND] hurt [IMPLY] enchanting [PERIOD]
good [AND] hypocritical [AND] cooperative [IMPLY] frantic [PERIOD]
foolish [AND] polite [IMPLY] ambitious [PERIOD]
wrong [AND] hurt [AND] polite [IMPLY] adorable [PERIOD]
stormy [AND] unpleasant [IMPLY] polite [PERIOD]
frantic [IMPLY] unpleasant [PERIOD]
hurt [AND] disobedient [AND] hypocritical [IMPLY] cooperative [PERIOD]
worrisome [AND] ambitious [IMPLY] hurt [PERIOD]
wide-eyed [AND] attractive [AND] curious [IMPLY] strange [PERIOD]
quaint [AND] ambitious [AND] strange [IMPLY] frantic [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   frantic ⇒ unpleasant
",1,1
"Facts:  Alice is clumsy [PERIOD] Alice is cruel [PERIOD] Alice is alert [PERIOD] Alice is witty [PERIOD] Alice is worried [PERIOD] Alice is bad-tempered [PERIOD] Alice is comfortable [PERIOD] Alice is anxious [PERIOD] Alice is cooperative [PERIOD] Alice is calm [PERIOD] Alice is cute [PERIOD] Alice is naughty [PERIOD] Alice is talented [PERIOD] Alice is gifted [PERIOD] Alice is agreeable [PERIOD] Alice is frightened [PERIOD]
Rules:
worried [IMPLY] frightened [PERIOD]
vivacious [AND] frightened [AND] anxious [IMPLY] talented [PERIOD]
frightened [AND] clumsy [AND] cooperative [IMPLY] cruel [PERIOD]
calm [IMPLY] alert [PERIOD]
agreeable [AND] gifted [AND] frightened [IMPLY] cooperative [PERIOD]
vivacious [IMPLY] talented [PERIOD]
calm [IMPLY] anxious [PERIOD]
worried [AND] vivacious [IMPLY] anxious [PERIOD]
naughty [AND] talented [IMPLY] cute [PERIOD]
frightened [AND] talented [AND] worried [IMPLY] comfortable [PERIOD]
clumsy [AND] comfortable [IMPLY] talented [PERIOD]
cooperative [AND] frightened [IMPLY] bad-tempered [PERIOD]
gifted [AND] talented [IMPLY] cute [PERIOD]
worried [IMPLY] clumsy [PERIOD]
naughty [IMPLY] bad-tempered [PERIOD]
cute [IMPLY] agreeable [PERIOD]
comfortable [IMPLY] calm [PERIOD]
vivacious [IMPLY] naughty [PERIOD]
naughty [AND] cute [IMPLY] gifted [PERIOD]
talented [AND] vivacious [AND] calm [IMPLY] cooperative [PERIOD]
cooperative [AND] witty [IMPLY] anxious [PERIOD]
gifted [AND] cooperative [AND] talented [IMPLY] worried [PERIOD]
frightened [AND] cruel [IMPLY] naughty [PERIOD]
vivacious [IMPLY] cruel [PERIOD]
talented [IMPLY] frightened [PERIOD]
calm [IMPLY] bad-tempered [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is tender [PERIOD] Alice is scared [PERIOD] Alice is easy [PERIOD] Alice is cruel [PERIOD] Alice is sleepy [PERIOD] Alice is frightened [PERIOD]
Rules:
tender [IMPLY] pleasant [PERIOD]
calm [AND] diplomatic [AND] hypocritical [IMPLY] disgusted [PERIOD]
wrong [IMPLY] tender [PERIOD]
bright [AND] calm [AND] rational [IMPLY] amused [PERIOD]
bright [AND] amused [IMPLY] inquisitive [PERIOD]
amused [AND] tender [IMPLY] fragile [PERIOD]
horrible [IMPLY] fearless [PERIOD]
disgusted [AND] clean [AND] inquisitive [IMPLY] broad-minded [PERIOD]
wide-eyed [AND] rational [IMPLY] scared [PERIOD]
cruel [IMPLY] easy [PERIOD]
tender [AND] pleasant [IMPLY] sleepy [PERIOD]
broad-minded [AND] cruel [IMPLY] amused [PERIOD]
foolish [IMPLY] horrible [PERIOD]
scared [AND] ugliest [IMPLY] bright [PERIOD]
inquisitive [IMPLY] bright [PERIOD]
wide-eyed [AND] frightened [IMPLY] strange [PERIOD]
easy [IMPLY] wrong [PERIOD]
fragile [AND] cruel [AND] easy [IMPLY] inquisitive [PERIOD]
fearless [IMPLY] wide-eyed [PERIOD]
inquisitive [IMPLY] pleasant [PERIOD]
silly [AND] diplomatic [IMPLY] tender [PERIOD]
bright [IMPLY] powerful [PERIOD]
scared [IMPLY] frightened [PERIOD]
cruel [AND] powerful [AND] bright [IMPLY] calm [PERIOD]
bright [AND] fearless [AND] powerful [IMPLY] rational [PERIOD]
inquisitive [AND] tender [IMPLY] scared [PERIOD]
curious [AND] diplomatic [IMPLY] amused [PERIOD]
clean [AND] bright [AND] hypocritical [IMPLY] calm [PERIOD]
strange [IMPLY] curious [PERIOD]
broad-minded [AND] hypocritical [IMPLY] diplomatic [PERIOD]
horrible [AND] rational [IMPLY] foolish [PERIOD]
powerful [AND] diplomatic [AND] silly [IMPLY] bright [PERIOD]
frightened [IMPLY] strange [PERIOD]
tender [AND] ugliest [AND] curious [IMPLY] scared [PERIOD]
silly [IMPLY] easy [PERIOD]
foolish [AND] silly [IMPLY] sleepy [PERIOD]
pleasant [AND] tender [AND] foolish [IMPLY] scared [PERIOD]
frightened [AND] fearless [IMPLY] hypocritical [PERIOD]
hypocritical [AND] fearless [IMPLY] clean [PERIOD]
horrible [IMPLY] powerful [PERIOD]
wide-eyed [IMPLY] foolish [PERIOD]
curious [AND] broad-minded [AND] wrong [IMPLY] frightened [PERIOD]
amused [AND] bright [AND] sleepy [IMPLY] pleasant [PERIOD]
horrible [AND] ugliest [IMPLY] tender [PERIOD]
bright [IMPLY] fragile [PERIOD]
clean [IMPLY] inquisitive [PERIOD]
cruel [AND] powerful [AND] diplomatic [IMPLY] foolish [PERIOD]
horrible [AND] foolish [AND] easy [IMPLY] frightened [PERIOD]
foolish [AND] rational [AND] curious [IMPLY] calm [PERIOD]
easy [IMPLY] silly [PERIOD]
scared [AND] curious [IMPLY] silly [PERIOD]
broad-minded [IMPLY] hypocritical [PERIOD]
rational [AND] bright [AND] inquisitive [IMPLY] curious [PERIOD]
silly [IMPLY] hypocritical [PERIOD]
horrible [IMPLY] curious [PERIOD]
pleasant [IMPLY] scared [PERIOD]
powerful [IMPLY] diplomatic [PERIOD]
fragile [AND] scared [IMPLY] fearless [PERIOD]
cruel [AND] ugliest [AND] rational [IMPLY] pleasant [PERIOD]
cruel [IMPLY] rational [PERIOD]
fragile [AND] rational [IMPLY] cruel [PERIOD]
ugliest [AND] wide-eyed [IMPLY] cruel [PERIOD]
scared [AND] curious [IMPLY] ugliest [PERIOD]
cruel [AND] powerful [AND] hypocritical [IMPLY] clean [PERIOD]
scared [AND] bright [AND] inquisitive [IMPLY] powerful [PERIOD]
wrong [IMPLY] amused [PERIOD]
frightened [AND] silly [AND] pleasant [IMPLY] diplomatic [PERIOD]
tender [AND] powerful [AND] pleasant [IMPLY] scared [PERIOD]
amused [AND] pleasant [AND] diplomatic [IMPLY] clean [PERIOD]
sleepy [AND] curious [AND] cruel [IMPLY] diplomatic [PERIOD]
diplomatic [AND] calm [AND] easy [IMPLY] inquisitive [PERIOD]
foolish [AND] tender [AND] diplomatic [IMPLY] sleepy [PERIOD]
cruel [AND] easy [AND] clean [IMPLY] silly [PERIOD]
amused [AND] calm [AND] strange [IMPLY] rational [PERIOD]
powerful [IMPLY] wrong [PERIOD]
sleepy [IMPLY] powerful [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   sleepy ⇒ powerful
   sleepy ⇒ powerful
   sleepy ⇒ powerful
   powerful ⇒ diplomatic
   easy ⇒ silly
   powerful ∧ diplomatic ∧ silly ⇒ bright
   cruel ∧ powerful ∧ bright ⇒ calm
",1,7
"Facts:  Alice is light [PERIOD]
Rules:
dull [AND] worrisome [AND] precious [IMPLY] mysterious [PERIOD]
impartial [AND] worrisome [AND] dull [IMPLY] mysterious [PERIOD]
impartial [AND] worrisome [IMPLY] mysterious [PERIOD]
precious [AND] impartial [AND] mysterious [IMPLY] light [PERIOD]
precious [AND] light [AND] impartial [IMPLY] worrisome [PERIOD]
light [AND] dull [IMPLY] mysterious [PERIOD]
worrisome [AND] precious [AND] mysterious [IMPLY] dull [PERIOD]
worrisome [IMPLY] precious [PERIOD]
precious [AND] light [AND] worrisome [IMPLY] impartial [PERIOD]
precious [AND] mysterious [AND] impartial [IMPLY] worrisome [PERIOD]
dull [IMPLY] impartial [PERIOD]
dull [IMPLY] precious [PERIOD]
worrisome [IMPLY] mysterious [PERIOD]
worrisome [AND] precious [IMPLY] light [PERIOD]
worrisome [AND] precious [IMPLY] mysterious [PERIOD]
dull [AND] mysterious [AND] impartial [IMPLY] worrisome [PERIOD]
mysterious [IMPLY] precious [PERIOD]
worrisome [AND] impartial [IMPLY] dull [PERIOD]
impartial [AND] worrisome [AND] dull [IMPLY] light [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   Cannot apply rule “dull ∧ worrisome ∧ precious ⇒ mysterious” because missing: dull, worrisome, precious.
   Cannot apply rule “impartial ∧ worrisome ∧ dull ⇒ mysterious” because missing: impartial, worrisome, dull.
   Cannot apply rule “impartial ∧ worrisome ⇒ mysterious” because missing: impartial, worrisome.
   Cannot apply rule “light ∧ dull ⇒ mysterious” because missing: dull.
   Cannot apply rule “worrisome ⇒ mysterious” because missing: worrisome.
   Cannot apply rule “worrisome ∧ precious ⇒ mysterious” because missing: worrisome, precious.
",0,6
"Facts:  Alice is reserved [PERIOD] Alice is old-fashioned [PERIOD] Alice is dull [PERIOD] Alice is frail [PERIOD]
Rules:
famous [AND] frail [IMPLY] worried [PERIOD]
dull [AND] old-fashioned [IMPLY] bored [PERIOD]
old-fashioned [IMPLY] reserved [PERIOD]
diplomatic [AND] worried [AND] old-fashioned [IMPLY] famous [PERIOD]
tense [AND] dull [IMPLY] bored [PERIOD]
tense [AND] reserved [AND] tidy [IMPLY] worried [PERIOD]
tidy [AND] thoughtful [AND] frail [IMPLY] reserved [PERIOD]
tense [AND] gorgeous [IMPLY] tidy [PERIOD]
tense [AND] old-fashioned [IMPLY] thoughtful [PERIOD]
embarrassed [IMPLY] bored [PERIOD]
gorgeous [AND] old-fashioned [AND] dull [IMPLY] diplomatic [PERIOD]
bored [IMPLY] reserved [PERIOD]
reserved [AND] tense [AND] worried [IMPLY] dull [PERIOD]
worried [AND] tense [AND] gorgeous [IMPLY] diplomatic [PERIOD]
worried [AND] gorgeous [IMPLY] old-fashioned [PERIOD]
embarrassed [AND] diplomatic [IMPLY] worried [PERIOD]
thoughtful [IMPLY] famous [PERIOD]
famous [AND] old-fashioned [AND] gorgeous [IMPLY] bored [PERIOD]
dull [AND] famous [AND] worried [IMPLY] thoughtful [PERIOD]
embarrassed [AND] thoughtful [IMPLY] worried [PERIOD]
worried [AND] tense [IMPLY] embarrassed [PERIOD]
dull [AND] embarrassed [AND] frail [IMPLY] diplomatic [PERIOD]
diplomatic [AND] frail [AND] tense [IMPLY] reserved [PERIOD]
old-fashioned [AND] famous [IMPLY] embarrassed [PERIOD]
tidy [AND] frail [IMPLY] diplomatic [PERIOD]
worried [IMPLY] dull [PERIOD]
tidy [AND] diplomatic [AND] frail [IMPLY] thoughtful [PERIOD]
gorgeous [IMPLY] tidy [PERIOD]
worried [AND] frail [IMPLY] tidy [PERIOD]
diplomatic [AND] embarrassed [AND] famous [IMPLY] dull [PERIOD]
tidy [AND] old-fashioned [IMPLY] diplomatic [PERIOD]
dull [AND] bored [IMPLY] frail [PERIOD]
reserved [AND] thoughtful [IMPLY] dull [PERIOD]
famous [AND] dull [AND] bored [IMPLY] tense [PERIOD]
old-fashioned [IMPLY] embarrassed [PERIOD]
worried [AND] thoughtful [IMPLY] reserved [PERIOD]
diplomatic [IMPLY] tidy [PERIOD]
diplomatic [IMPLY] frail [PERIOD]
famous [AND] tense [AND] gorgeous [IMPLY] old-fashioned [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   old-fashioned ⇒ embarrassed
   dull ∧ embarrassed ∧ frail ⇒ diplomatic
   old-fashioned ⇒ embarrassed
   old-fashioned ⇒ embarrassed
   dull ∧ embarrassed ∧ frail ⇒ diplomatic
   embarrassed ∧ diplomatic ⇒ worried
   diplomatic ∧ worried ∧ old-fashioned ⇒ famous
",1,7
"Facts:  Alice is exuberant [PERIOD] Alice is helpless [PERIOD]
Rules:
versatile [AND] famous [IMPLY] jittery [PERIOD]
charming [AND] grumpy [IMPLY] helpless [PERIOD]
comfortable [AND] tender [AND] courageous [IMPLY] jittery [PERIOD]
helpful [AND] jittery [AND] versatile [IMPLY] comfortable [PERIOD]
helpful [AND] charming [AND] comfortable [IMPLY] exuberant [PERIOD]
charming [AND] comfortable [AND] versatile [IMPLY] jittery [PERIOD]
helpless [AND] charming [AND] attentive [IMPLY] courageous [PERIOD]
helpful [IMPLY] tender [PERIOD]
charming [AND] famous [AND] versatile [IMPLY] exuberant [PERIOD]
helpless [AND] versatile [AND] famous [IMPLY] charming [PERIOD]
helpless [AND] grumpy [AND] versatile [IMPLY] tender [PERIOD]
jittery [AND] grumpy [AND] courageous [IMPLY] helpless [PERIOD]
famous [IMPLY] attentive [PERIOD]
charming [IMPLY] courageous [PERIOD]
tender [IMPLY] attentive [PERIOD]
charming [AND] jittery [IMPLY] exuberant [PERIOD]
helpless [IMPLY] famous [PERIOD]
courageous [AND] famous [AND] grumpy [IMPLY] helpful [PERIOD]
comfortable [AND] charming [IMPLY] versatile [PERIOD]
exuberant [AND] courageous [AND] comfortable [IMPLY] attentive [PERIOD]
helpful [AND] courageous [AND] grumpy [IMPLY] charming [PERIOD]
jittery [AND] attentive [IMPLY] grumpy [PERIOD]
courageous [AND] famous [AND] grumpy [IMPLY] attentive [PERIOD]
charming [AND] helpless [IMPLY] courageous [PERIOD]
helpful [IMPLY] courageous [PERIOD]
courageous [IMPLY] exuberant [PERIOD]
famous [AND] helpful [AND] jittery [IMPLY] versatile [PERIOD]
jittery [AND] helpful [AND] courageous [IMPLY] versatile [PERIOD]
helpful [IMPLY] helpless [PERIOD]
versatile [AND] charming [AND] attentive [IMPLY] courageous [PERIOD]
courageous [AND] famous [AND] helpful [IMPLY] charming [PERIOD]
grumpy [IMPLY] courageous [PERIOD]
jittery [AND] grumpy [IMPLY] courageous [PERIOD]
versatile [AND] helpful [IMPLY] tender [PERIOD]
helpless [AND] comfortable [IMPLY] charming [PERIOD]
exuberant [AND] jittery [AND] helpless [IMPLY] tender [PERIOD]
versatile [AND] jittery [AND] courageous [IMPLY] comfortable [PERIOD]
helpless [AND] comfortable [AND] courageous [IMPLY] helpful [PERIOD]
famous [AND] comfortable [AND] helpless [IMPLY] jittery [PERIOD]
charming [AND] helpful [AND] versatile [IMPLY] famous [PERIOD]
attentive [AND] famous [AND] grumpy [IMPLY] exuberant [PERIOD]
comfortable [AND] grumpy [IMPLY] tender [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
   helpless ⇒ famous
   Cannot apply rule “helpless ∧ versatile ∧ famous ⇒ charming” because missing: versatile.
   Cannot apply rule “helpful ∧ courageous ∧ grumpy ⇒ charming” because missing: helpful, courageous, grumpy.
   helpless ⇒ famous
   Cannot apply rule “courageous ∧ famous ∧ helpful ⇒ charming” because missing: courageous, helpful.
   Cannot apply rule “helpless ∧ comfortable ⇒ charming” because missing: comfortable.
",0,6
"Facts: 
Rules:
charming [AND] nervous [AND] wrong [IMPLY] bored [PERIOD]
agreeable [AND] precious [AND] attractive [IMPLY] light [PERIOD]
precious [AND] wrong [IMPLY] disgusted [PERIOD]
charming [AND] aggressive [AND] attractive [IMPLY] inquisitive [PERIOD]
aggressive [IMPLY] disgusted [PERIOD]
wrong [AND] precious [IMPLY] aggressive [PERIOD]
disgusted [AND] precious [IMPLY] agreeable [PERIOD]
wrong [AND] cooperative [AND] disgusted [IMPLY] attractive [PERIOD]
precious [AND] aggressive [AND] light [IMPLY] calm [PERIOD]
agreeable [AND] cooperative [AND] clean [IMPLY] nervous [PERIOD]
inquisitive [AND] bored [IMPLY] aggressive [PERIOD]
wrong [AND] calm [AND] clean [IMPLY] inquisitive [PERIOD]
clean [IMPLY] aggressive [PERIOD]
inquisitive [AND] precious [IMPLY] light [PERIOD]
nervous [AND] wandering [AND] bored [IMPLY] disgusted [PERIOD]
inquisitive [AND] wandering [IMPLY] wrong [PERIOD]
agreeable [AND] clean [IMPLY] light [PERIOD]
wandering [AND] agreeable [AND] charming [IMPLY] nervous [PERIOD]
light [AND] bored [IMPLY] clean [PERIOD]
charming [AND] nervous [IMPLY] light [PERIOD]
charming [AND] light [IMPLY] aggressive [PERIOD]
nervous [AND] wandering [IMPLY] light [PERIOD]
attractive [AND] precious [AND] inquisitive [IMPLY] clean [PERIOD]
wandering [AND] calm [IMPLY] bored [PERIOD]
nervous [AND] charming [AND] cooperative [IMPLY] disgusted [PERIOD]
attractive [IMPLY] light [PERIOD]
cooperative [IMPLY] aggressive [PERIOD]
disgusted [IMPLY] bored [PERIOD]
aggressive [AND] light [AND] calm [IMPLY] inquisitive [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   Cannot apply rule “agreeable ∧ precious ∧ attractive ⇒ light” because missing: agreeable, precious, attractive.
   Cannot apply rule “inquisitive ∧ precious ⇒ light” because missing: inquisitive, precious.
   Cannot apply rule “agreeable ∧ clean ⇒ light” because missing: agreeable, clean.
   Cannot apply rule “charming ∧ nervous ⇒ light” because missing: charming, nervous.
   Cannot apply rule “nervous ∧ wandering ⇒ light” because missing: nervous, wandering.
   Cannot apply rule “attractive ⇒ light” because missing: attractive.
",0,6
"Facts: 
Rules:
courageous [AND] proud [IMPLY] unpleasant [PERIOD]
helpless [AND] fragile [AND] fancy [IMPLY] difficult [PERIOD]
versatile [AND] light [IMPLY] weary [PERIOD]
disgusted [AND] courageous [AND] strange [IMPLY] proud [PERIOD]
light [IMPLY] fragile [PERIOD]
helpless [IMPLY] shiny [PERIOD]
long [AND] weary [IMPLY] fragile [PERIOD]
shiny [AND] helpless [IMPLY] confident [PERIOD]
proud [AND] lucky [IMPLY] rude [PERIOD]
vivacious [AND] courageous [AND] weary [IMPLY] rude [PERIOD]
zealous [IMPLY] fancy [PERIOD]
perfect [IMPLY] strange [PERIOD]
talkative [AND] confident [AND] versatile [IMPLY] unpleasant [PERIOD]
exuberant [AND] courageous [AND] fragile [IMPLY] strange [PERIOD]
fragile [AND] fancy [IMPLY] strange [PERIOD]
fancy [AND] lucky [IMPLY] versatile [PERIOD]
fancy [AND] courageous [IMPLY] difficult [PERIOD]
perfect [IMPLY] long [PERIOD]
sincere [IMPLY] helpless [PERIOD]
weary [AND] exuberant [AND] zealous [IMPLY] lucky [PERIOD]
fragile [IMPLY] tender [PERIOD]
long [AND] uptight [IMPLY] confident [PERIOD]
difficult [AND] exuberant [AND] weary [IMPLY] uptight [PERIOD]
strange [AND] courageous [AND] proud [IMPLY] disgusted [PERIOD]
proud [AND] sincere [AND] versatile [IMPLY] calm [PERIOD]
unpleasant [IMPLY] zealous [PERIOD]
difficult [IMPLY] disgusted [PERIOD]
versatile [AND] exuberant [AND] fragile [IMPLY] proud [PERIOD]
shiny [AND] sincere [IMPLY] light [PERIOD]
zealous [IMPLY] sincere [PERIOD]
tender [AND] light [AND] versatile [IMPLY] courageous [PERIOD]
versatile [AND] exuberant [IMPLY] calm [PERIOD]
light [AND] shiny [IMPLY] weary [PERIOD]
courageous [AND] rude [IMPLY] uptight [PERIOD]
difficult [IMPLY] versatile [PERIOD]
tender [IMPLY] courageous [PERIOD]
versatile [IMPLY] light [PERIOD]
confident [IMPLY] lucky [PERIOD]
shiny [IMPLY] perfect [PERIOD]
uptight [IMPLY] shiny [PERIOD]
light [AND] difficult [IMPLY] fragile [PERIOD]
weary [AND] unpleasant [IMPLY] vivacious [PERIOD]
tender [AND] proud [IMPLY] perfect [PERIOD]
tender [AND] zealous [AND] versatile [IMPLY] light [PERIOD]
exuberant [AND] courageous [IMPLY] fancy [PERIOD]
talkative [IMPLY] light [PERIOD]
lucky [IMPLY] exuberant [PERIOD]
rude [AND] exuberant [IMPLY] perfect [PERIOD]
zealous [AND] proud [AND] perfect [IMPLY] strange [PERIOD]
tender [IMPLY] helpless [PERIOD]
talkative [IMPLY] uptight [PERIOD]
light [AND] rude [AND] sincere [IMPLY] shiny [PERIOD]
lucky [IMPLY] calm [PERIOD]
vivacious [IMPLY] weary [PERIOD]
tender [IMPLY] disgusted [PERIOD]
exuberant [AND] disgusted [AND] strange [IMPLY] confident [PERIOD]
zealous [AND] helpless [IMPLY] strange [PERIOD]
exuberant [IMPLY] unpleasant [PERIOD]
helpless [AND] talkative [AND] confident [IMPLY] exuberant [PERIOD]
proud [AND] confident [AND] light [IMPLY] fancy [PERIOD]
disgusted [AND] lucky [IMPLY] unpleasant [PERIOD]
unpleasant [AND] light [IMPLY] courageous [PERIOD]
shiny [AND] vivacious [IMPLY] exuberant [PERIOD]
proud [IMPLY] rude [PERIOD]
perfect [AND] light [AND] long [IMPLY] sincere [PERIOD]
weary [IMPLY] perfect [PERIOD]
rude [IMPLY] light [PERIOD]
strange [AND] fancy [IMPLY] sincere [PERIOD]
disgusted [AND] zealous [AND] fancy [IMPLY] strange [PERIOD]
courageous [AND] shiny [AND] unpleasant [IMPLY] sincere [PERIOD]
zealous [AND] uptight [AND] sincere [IMPLY] helpless [PERIOD]
exuberant [AND] long [IMPLY] lucky [PERIOD]
helpless [IMPLY] weary [PERIOD]
light [IMPLY] vivacious [PERIOD]
unpleasant [AND] rude [AND] fancy [IMPLY] tender [PERIOD]
fancy [IMPLY] confident [PERIOD]
weary [IMPLY] fragile [PERIOD]
strange [AND] disgusted [IMPLY] courageous [PERIOD]
disgusted [AND] fancy [AND] perfect [IMPLY] difficult [PERIOD]
proud [AND] lucky [AND] long [IMPLY] strange [PERIOD]
weary [IMPLY] difficult [PERIOD]
rude [IMPLY] disgusted [PERIOD]
zealous [IMPLY] light [PERIOD]
shiny [IMPLY] exuberant [PERIOD]
tender [AND] lucky [IMPLY] proud [PERIOD]
rude [AND] uptight [AND] fragile [IMPLY] strange [PERIOD]
strange [AND] vivacious [AND] talkative [IMPLY] perfect [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   Cannot apply rule “weary ∧ exuberant ∧ zealous ⇒ lucky” because missing: weary, exuberant, zealous.
   Cannot apply rule “confident ⇒ lucky” because missing: confident.
   Cannot apply rule “exuberant ∧ long ⇒ lucky” because missing: exuberant, long.
",0,3
"Facts: 
Rules:
thoughtful [IMPLY] bright [PERIOD]
stupid [AND] gleaming [IMPLY] smart [PERIOD]
thoughtful [IMPLY] smart [PERIOD]
stupid [AND] smart [IMPLY] friendly [PERIOD]
friendly [AND] gleaming [AND] smart [IMPLY] ugliest [PERIOD]
ugliest [AND] bright [IMPLY] smart [PERIOD]
gleaming [AND] stupid [AND] condemned [IMPLY] thoughtful [PERIOD]
ugliest [IMPLY] thoughtful [PERIOD]
bright [AND] thoughtful [AND] stupid [IMPLY] smart [PERIOD]
gleaming [IMPLY] ugliest [PERIOD]
smart [IMPLY] ugliest [PERIOD]
stupid [AND] thoughtful [IMPLY] condemned [PERIOD]
thoughtful [AND] gleaming [AND] ugliest [IMPLY] stupid [PERIOD]
stupid [AND] gleaming [IMPLY] ugliest [PERIOD]
stupid [IMPLY] thoughtful [PERIOD]
friendly [IMPLY] gleaming [PERIOD]
condemned [IMPLY] smart [PERIOD]
smart [AND] thoughtful [IMPLY] gleaming [PERIOD]
ugliest [AND] friendly [IMPLY] thoughtful [PERIOD]
ugliest [AND] gleaming [AND] condemned [IMPLY] stupid [PERIOD]
thoughtful [AND] smart [AND] stupid [IMPLY] condemned [PERIOD]
gleaming [AND] stupid [IMPLY] friendly [PERIOD]
friendly [IMPLY] bright [PERIOD]
stupid [AND] condemned [IMPLY] gleaming [PERIOD]
friendly [AND] stupid [IMPLY] bright [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   Cannot apply rule “thoughtful ⇒ bright” because missing: thoughtful.
   Cannot apply rule “friendly ⇒ bright” because missing: friendly.
   Cannot apply rule “friendly ∧ stupid ⇒ bright” because missing: friendly, stupid.
",0,3
"Facts:  Alice is fancy [PERIOD] Alice is versatile [PERIOD] Alice is aggressive [PERIOD] Alice is light [PERIOD] Alice is jittery [PERIOD]
Rules:
outrageous [AND] agreeable [IMPLY] ambitious [PERIOD]
jittery [AND] loving [AND] enchanting [IMPLY] versatile [PERIOD]
versatile [AND] victorious [AND] agreeable [IMPLY] sincere [PERIOD]
sincere [IMPLY] agreeable [PERIOD]
aggressive [IMPLY] outrageous [PERIOD]
agreeable [AND] ambitious [AND] victorious [IMPLY] enchanting [PERIOD]
victorious [AND] loving [AND] jittery [IMPLY] enchanting [PERIOD]
agreeable [IMPLY] sincere [PERIOD]
sincere [AND] jittery [AND] hurt [IMPLY] ambitious [PERIOD]
fancy [AND] loving [IMPLY] weary [PERIOD]
hurt [AND] victorious [IMPLY] outrageous [PERIOD]
aggressive [AND] outrageous [IMPLY] fancy [PERIOD]
light [AND] weary [IMPLY] victorious [PERIOD]
outrageous [IMPLY] victorious [PERIOD]
enchanting [AND] light [AND] versatile [IMPLY] outrageous [PERIOD]
jittery [IMPLY] hurt [PERIOD]
tidy [AND] sincere [AND] versatile [IMPLY] fancy [PERIOD]
jittery [IMPLY] light [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   aggressive ⇒ outrageous
   outrageous ⇒ victorious
   Cannot apply rule “agreeable ∧ ambitious ∧ victorious ⇒ enchanting” because missing: agreeable, ambitious.
   aggressive ⇒ outrageous
   outrageous ⇒ victorious
   Cannot apply rule “victorious ∧ loving ∧ jittery ⇒ enchanting” because missing: loving.
",0,6
"Facts:  Alice is pessimistic [PERIOD]
Rules:
pessimistic [AND] easy [IMPLY] combative [PERIOD]
troubled [AND] pessimistic [AND] stupid [IMPLY] charming [PERIOD]
confused [AND] fine [AND] pessimistic [IMPLY] troubled [PERIOD]
fine [AND] witty [AND] light [IMPLY] stupid [PERIOD]
frail [AND] distinct [IMPLY] confused [PERIOD]
hurt [AND] thoughtless [AND] troubled [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] confused [PERIOD]
helpless [IMPLY] diplomatic [PERIOD]
lonely [AND] combative [IMPLY] blushing [PERIOD]
pessimistic [AND] good [IMPLY] distinct [PERIOD]
good [IMPLY] distinct [PERIOD]
distinct [IMPLY] charming [PERIOD]
good [AND] troubled [IMPLY] diplomatic [PERIOD]
fine [AND] good [AND] stupid [IMPLY] impartial [PERIOD]
impartial [AND] frail [AND] victorious [IMPLY] blushing [PERIOD]
good [AND] pessimistic [IMPLY] troubled [PERIOD]
pessimistic [AND] stupid [AND] frail [IMPLY] charming [PERIOD]
diplomatic [AND] easy [AND] ugliest [IMPLY] stupid [PERIOD]
worried [AND] victorious [AND] impartial [IMPLY] combative [PERIOD]
thoughtful [IMPLY] distinct [PERIOD]
ugliest [IMPLY] hurt [PERIOD]
impartial [AND] fine [AND] easy [IMPLY] troubled [PERIOD]
light [AND] diplomatic [IMPLY] ugliest [PERIOD]
helpless [AND] pessimistic [AND] witty [IMPLY] charming [PERIOD]
frail [AND] hurt [IMPLY] witty [PERIOD]
combative [AND] confused [IMPLY] good [PERIOD]
victorious [AND] stupid [AND] pessimistic [IMPLY] distinct [PERIOD]
thoughtful [IMPLY] charming [PERIOD]
fine [AND] blushing [IMPLY] confused [PERIOD]
weary [IMPLY] hurt [PERIOD]
witty [IMPLY] impartial [PERIOD]
distinct [AND] stupid [IMPLY] lonely [PERIOD]
ugliest [AND] stupid [AND] weary [IMPLY] pessimistic [PERIOD]
charming [IMPLY] fine [PERIOD]
combative [IMPLY] stupid [PERIOD]
victorious [AND] fine [IMPLY] pessimistic [PERIOD]
hurt [AND] thoughtless [AND] witty [IMPLY] impartial [PERIOD]
light [AND] troubled [AND] helpless [IMPLY] frail [PERIOD]
frail [IMPLY] weary [PERIOD]
weary [AND] witty [IMPLY] ugliest [PERIOD]
hurt [AND] blushing [AND] stupid [IMPLY] ugliest [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   Cannot apply rule “frail ∧ distinct ⇒ confused” because missing: frail, distinct.
   Cannot apply rule “thoughtful ⇒ confused” because missing: thoughtful.
   Cannot apply rule “fine ∧ blushing ⇒ confused” because missing: fine, blushing.
",0,3
"Facts:  Alice is fancy [PERIOD] Alice is frail [PERIOD] Alice is difficult [PERIOD] Alice is selfish [PERIOD] Alice is ambitious [PERIOD]
Rules:
condemned [AND] versatile [IMPLY] hilarious [PERIOD]
powerful [AND] fancy [AND] aggressive [IMPLY] condemned [PERIOD]
aggressive [AND] pleasant [IMPLY] stormy [PERIOD]
fancy [IMPLY] polite [PERIOD]
troubled [IMPLY] pleasant [PERIOD]
ambitious [AND] tidy [AND] loving [IMPLY] glamorous [PERIOD]
fancy [AND] aggressive [IMPLY] tidy [PERIOD]
powerful [AND] outstanding [IMPLY] selfish [PERIOD]
pleasant [AND] polite [AND] hilarious [IMPLY] frail [PERIOD]
powerful [IMPLY] versatile [PERIOD]
troubled [AND] pleasant [IMPLY] ambitious [PERIOD]
powerful [AND] aggressive [IMPLY] loving [PERIOD]
wandering [AND] selfish [AND] tidy [IMPLY] troubled [PERIOD]
weary [AND] frail [IMPLY] thoughtful [PERIOD]
frail [AND] adorable [IMPLY] difficult [PERIOD]
powerful [AND] glamorous [AND] fancy [IMPLY] victorious [PERIOD]
loving [AND] glamorous [AND] adorable [IMPLY] troubled [PERIOD]
joyous [AND] troubled [AND] pleasant [IMPLY] powerful [PERIOD]
fancy [AND] frail [IMPLY] difficult [PERIOD]
pleasant [AND] difficult [IMPLY] loving [PERIOD]
ambitious [IMPLY] pleasant [PERIOD]
frail [AND] adorable [AND] troubled [IMPLY] polite [PERIOD]
powerful [AND] troubled [AND] hilarious [IMPLY] pleasant [PERIOD]
wandering [IMPLY] outstanding [PERIOD]
aggressive [IMPLY] weary [PERIOD]
outstanding [AND] tidy [AND] condemned [IMPLY] loving [PERIOD]
polite [AND] wandering [IMPLY] troubled [PERIOD]
adorable [IMPLY] joyous [PERIOD]
powerful [IMPLY] aggressive [PERIOD]
pleasant [IMPLY] troubled [PERIOD]
victorious [AND] adorable [IMPLY] difficult [PERIOD]
fancy [IMPLY] pleasant [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
   Cannot apply rule “powerful ⇒ aggressive” because missing: powerful.
",0,1
"Facts: 
Rules:
unpleasant [IMPLY] joyous [PERIOD]
unpleasant [IMPLY] straightforward [PERIOD]
broad-minded [IMPLY] elated [PERIOD]
supportive [IMPLY] diplomatic [PERIOD]
courageous [IMPLY] crowded [PERIOD]
ugliest [AND] dishonest [IMPLY] diplomatic [PERIOD]
cute [AND] adorable [IMPLY] rational [PERIOD]
supportive [AND] excited [IMPLY] gleaming [PERIOD]
supportive [AND] dishonest [IMPLY] broad-minded [PERIOD]
reserved [IMPLY] adorable [PERIOD]
adorable [AND] impartial [AND] disobedient [IMPLY] talkative [PERIOD]
impartial [AND] difficult [AND] unpleasant [IMPLY] lucky [PERIOD]
ambitious [IMPLY] elated [PERIOD]
straightforward [IMPLY] gleaming [PERIOD]
diplomatic [AND] talkative [AND] loving [IMPLY] disobedient [PERIOD]
dishonest [AND] excited [IMPLY] rational [PERIOD]
disgusted [IMPLY] straightforward [PERIOD]
supportive [IMPLY] cute [PERIOD]
diplomatic [AND] straightforward [IMPLY] rational [PERIOD]
modern [IMPLY] difficult [PERIOD]
courageous [AND] ambitious [AND] loving [IMPLY] straightforward [PERIOD]
unpleasant [AND] joyous [AND] perfect [IMPLY] cute [PERIOD]
disobedient [AND] reserved [AND] gleaming [IMPLY] cute [PERIOD]
rational [AND] broad-minded [IMPLY] ugliest [PERIOD]
disobedient [IMPLY] gleaming [PERIOD]
reserved [IMPLY] lucky [PERIOD]
perfect [AND] impartial [AND] uptight [IMPLY] cute [PERIOD]
perfect [AND] courageous [IMPLY] elated [PERIOD]
ambitious [IMPLY] lucky [PERIOD]
gleaming [IMPLY] crowded [PERIOD]
difficult [IMPLY] supportive [PERIOD]
crowded [AND] lucky [AND] adorable [IMPLY] disobedient [PERIOD]
ambitious [AND] joyous [AND] disobedient [IMPLY] unpleasant [PERIOD]
disgusted [IMPLY] courageous [PERIOD]
rational [IMPLY] courageous [PERIOD]
unpleasant [AND] courageous [IMPLY] perfect [PERIOD]
uptight [AND] courageous [AND] modern [IMPLY] unpleasant [PERIOD]
uptight [IMPLY] dishonest [PERIOD]
courageous [AND] cute [IMPLY] excited [PERIOD]
perfect [IMPLY] uptight [PERIOD]
joyous [IMPLY] crowded [PERIOD]
broad-minded [AND] crowded [AND] reserved [IMPLY] straightforward [PERIOD]
loving [AND] disgusted [AND] ugliest [IMPLY] excited [PERIOD]
joyous [AND] ugliest [AND] perfect [IMPLY] disobedient [PERIOD]
ugliest [AND] talkative [IMPLY] unpleasant [PERIOD]
ugliest [AND] cute [IMPLY] rational [PERIOD]
talkative [IMPLY] reserved [PERIOD]
perfect [AND] diplomatic [IMPLY] difficult [PERIOD]
supportive [IMPLY] straightforward [PERIOD]
joyous [AND] cute [IMPLY] dishonest [PERIOD]
modern [IMPLY] courageous [PERIOD]
dishonest [AND] elated [IMPLY] uptight [PERIOD]
rational [IMPLY] uptight [PERIOD]
straightforward [IMPLY] uptight [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   Cannot apply rule “difficult ⇒ supportive” because missing: difficult.
",0,1
"Facts: 
Rules:
selfish [AND] different [IMPLY] worrisome [PERIOD]
messy [AND] lonely [IMPLY] selfish [PERIOD]
rational [AND] lonely [IMPLY] selfish [PERIOD]
gleaming [IMPLY] messy [PERIOD]
worrisome [AND] selfish [AND] talented [IMPLY] messy [PERIOD]
beautiful [IMPLY] rational [PERIOD]
lonely [AND] beautiful [IMPLY] precious [PERIOD]
worrisome [IMPLY] rational [PERIOD]
rational [AND] talented [IMPLY] lonely [PERIOD]
gleaming [AND] messy [IMPLY] worrisome [PERIOD]
worrisome [AND] different [IMPLY] rational [PERIOD]
talented [AND] gleaming [AND] messy [IMPLY] worrisome [PERIOD]
selfish [AND] different [AND] precious [IMPLY] gleaming [PERIOD]
selfish [IMPLY] worrisome [PERIOD]
worrisome [AND] rational [IMPLY] precious [PERIOD]
disobedient [AND] messy [AND] different [IMPLY] rational [PERIOD]
different [AND] messy [AND] rational [IMPLY] worrisome [PERIOD]
selfish [AND] lonely [IMPLY] messy [PERIOD]
rational [AND] precious [IMPLY] messy [PERIOD]
selfish [AND] gleaming [IMPLY] disobedient [PERIOD]
rational [AND] messy [AND] talented [IMPLY] lonely [PERIOD]
rational [AND] beautiful [IMPLY] worrisome [PERIOD]
selfish [AND] messy [AND] disobedient [IMPLY] lonely [PERIOD]
different [AND] messy [AND] worrisome [IMPLY] beautiful [PERIOD]
lonely [AND] precious [IMPLY] rational [PERIOD]
different [IMPLY] messy [PERIOD]
gleaming [IMPLY] different [PERIOD]
talented [AND] worrisome [AND] lonely [IMPLY] messy [PERIOD]
Query: Alice is messy [PERIOD]","Proof chain:
   Cannot apply rule “gleaming ⇒ messy” because missing: gleaming.
   Cannot apply rule “worrisome ∧ selfish ∧ talented ⇒ messy” because missing: worrisome, selfish, talented.
   Cannot apply rule “selfish ∧ lonely ⇒ messy” because missing: selfish, lonely.
   Cannot apply rule “rational ∧ precious ⇒ messy” because missing: rational, precious.
   Cannot apply rule “different ⇒ messy” because missing: different.
   Cannot apply rule “talented ∧ worrisome ∧ lonely ⇒ messy” because missing: talented, worrisome, lonely.
",0,6
"Facts:  Alice is elegant [PERIOD] Alice is smart [PERIOD] Alice is diplomatic [PERIOD] Alice is talkative [PERIOD] Alice is sincere [PERIOD]
Rules:
confident [AND] talkative [AND] wrong [IMPLY] smart [PERIOD]
frail [AND] sincere [AND] elegant [IMPLY] wrong [PERIOD]
confident [IMPLY] clean [PERIOD]
rude [AND] diplomatic [AND] clean [IMPLY] confident [PERIOD]
impartial [IMPLY] modern [PERIOD]
modern [AND] attentive [IMPLY] helpless [PERIOD]
elegant [IMPLY] helpless [PERIOD]
talkative [AND] frail [IMPLY] modern [PERIOD]
confident [AND] clean [IMPLY] elegant [PERIOD]
frail [AND] impartial [AND] modern [IMPLY] confident [PERIOD]
lonely [AND] attentive [IMPLY] sincere [PERIOD]
modern [AND] clean [IMPLY] attentive [PERIOD]
frail [IMPLY] wrong [PERIOD]
modern [AND] impartial [AND] elegant [IMPLY] helpless [PERIOD]
diplomatic [AND] attentive [AND] lonely [IMPLY] frail [PERIOD]
fancy [AND] wrong [IMPLY] smart [PERIOD]
clean [AND] sincere [IMPLY] inexpensive [PERIOD]
modern [IMPLY] lonely [PERIOD]
diplomatic [IMPLY] sincere [PERIOD]
wrong [AND] attentive [AND] lonely [IMPLY] modern [PERIOD]
frail [AND] elegant [IMPLY] talkative [PERIOD]
helpless [AND] modern [IMPLY] impartial [PERIOD]
sincere [AND] elegant [AND] impartial [IMPLY] confident [PERIOD]
talkative [IMPLY] elegant [PERIOD]
modern [IMPLY] elegant [PERIOD]
inexpensive [AND] wrong [IMPLY] impartial [PERIOD]
attentive [AND] sincere [IMPLY] impartial [PERIOD]
smart [IMPLY] wrong [PERIOD]
wrong [IMPLY] clean [PERIOD]
helpless [AND] attentive [IMPLY] wrong [PERIOD]
modern [AND] fancy [AND] diplomatic [IMPLY] lonely [PERIOD]
clean [AND] attentive [AND] talkative [IMPLY] wrong [PERIOD]
impartial [AND] fancy [IMPLY] clean [PERIOD]
inexpensive [AND] clean [IMPLY] helpless [PERIOD]
rude [AND] impartial [IMPLY] smart [PERIOD]
attentive [AND] wrong [IMPLY] impartial [PERIOD]
elegant [AND] helpless [IMPLY] lonely [PERIOD]
attentive [IMPLY] lonely [PERIOD]
inexpensive [AND] sincere [AND] impartial [IMPLY] clean [PERIOD]
sincere [AND] smart [IMPLY] talkative [PERIOD]
confident [AND] elegant [AND] attentive [IMPLY] sincere [PERIOD]
clean [IMPLY] modern [PERIOD]
modern [AND] frail [IMPLY] talkative [PERIOD]
diplomatic [AND] clean [AND] lonely [IMPLY] wrong [PERIOD]
helpless [AND] elegant [AND] fancy [IMPLY] smart [PERIOD]
elegant [AND] attentive [IMPLY] talkative [PERIOD]
clean [IMPLY] confident [PERIOD]
frail [IMPLY] lonely [PERIOD]
elegant [AND] attentive [IMPLY] fancy [PERIOD]
modern [IMPLY] frail [PERIOD]
confident [AND] smart [AND] frail [IMPLY] rude [PERIOD]
lonely [IMPLY] frail [PERIOD]
frail [AND] impartial [IMPLY] lonely [PERIOD]
fancy [IMPLY] clean [PERIOD]
lonely [AND] clean [AND] attentive [IMPLY] confident [PERIOD]
confident [IMPLY] diplomatic [PERIOD]
elegant [AND] fancy [IMPLY] wrong [PERIOD]
frail [AND] rude [IMPLY] lonely [PERIOD]
sincere [AND] impartial [IMPLY] helpless [PERIOD]
talkative [IMPLY] diplomatic [PERIOD]
smart [AND] sincere [IMPLY] helpless [PERIOD]
impartial [AND] inexpensive [AND] fancy [IMPLY] rude [PERIOD]
confident [IMPLY] talkative [PERIOD]
impartial [IMPLY] confident [PERIOD]
modern [AND] clean [IMPLY] talkative [PERIOD]
smart [IMPLY] lonely [PERIOD]
impartial [AND] smart [IMPLY] modern [PERIOD]
impartial [IMPLY] attentive [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   smart ⇒ wrong
   wrong ⇒ clean
   clean ⇒ modern
   smart ⇒ wrong
   wrong ⇒ clean
   modern ∧ clean ⇒ attentive
   elegant ∧ attentive ⇒ fancy
",1,7
"Facts:  Alice is grumpy [PERIOD] Alice is foolish [PERIOD] Alice is strange [PERIOD] Alice is inquisitive [PERIOD] Alice is cruel [PERIOD] Alice is vivacious [PERIOD] Alice is nervous [PERIOD]
Rules:
grumpy [AND] gleaming [AND] fragile [IMPLY] cruel [PERIOD]
grumpy [IMPLY] gleaming [PERIOD]
vivacious [AND] fragile [IMPLY] nervous [PERIOD]
grumpy [IMPLY] strange [PERIOD]
gleaming [AND] cruel [AND] confused [IMPLY] fragile [PERIOD]
cruel [AND] nervous [AND] confused [IMPLY] attentive [PERIOD]
inquisitive [IMPLY] fragile [PERIOD]
confused [IMPLY] muddy [PERIOD]
vivacious [IMPLY] nervous [PERIOD]
confused [AND] foolish [AND] cruel [IMPLY] grumpy [PERIOD]
gleaming [AND] cruel [AND] fragile [IMPLY] inquisitive [PERIOD]
cruel [IMPLY] gleaming [PERIOD]
vivacious [AND] gleaming [AND] attentive [IMPLY] foolish [PERIOD]
foolish [IMPLY] nervous [PERIOD]
muddy [AND] confused [IMPLY] inquisitive [PERIOD]
cruel [AND] grumpy [IMPLY] strange [PERIOD]
foolish [AND] vivacious [AND] muddy [IMPLY] confused [PERIOD]
grumpy [AND] fragile [IMPLY] inquisitive [PERIOD]
attentive [AND] fragile [IMPLY] vivacious [PERIOD]
fragile [AND] cruel [IMPLY] foolish [PERIOD]
nervous [AND] strange [AND] confused [IMPLY] cruel [PERIOD]
vivacious [AND] inquisitive [AND] muddy [IMPLY] cruel [PERIOD]
strange [AND] muddy [AND] gleaming [IMPLY] grumpy [PERIOD]
fragile [AND] nervous [IMPLY] attentive [PERIOD]
gleaming [AND] foolish [IMPLY] nervous [PERIOD]
muddy [AND] fragile [IMPLY] foolish [PERIOD]
fragile [IMPLY] strange [PERIOD]
nervous [IMPLY] confused [PERIOD]
foolish [AND] fragile [IMPLY] gleaming [PERIOD]
grumpy [AND] strange [IMPLY] gleaming [PERIOD]
nervous [IMPLY] vivacious [PERIOD]
gleaming [AND] vivacious [IMPLY] inquisitive [PERIOD]
foolish [AND] muddy [IMPLY] vivacious [PERIOD]
vivacious [AND] inquisitive [IMPLY] foolish [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
innocent [AND] shy [AND] wandering [IMPLY] modern [PERIOD]
innocent [IMPLY] mysterious [PERIOD]
quaint [AND] ambitious [IMPLY] diplomatic [PERIOD]
quaint [IMPLY] tidy [PERIOD]
mysterious [IMPLY] innocent [PERIOD]
old-fashioned [AND] ambitious [IMPLY] good [PERIOD]
good [AND] ambitious [IMPLY] quaint [PERIOD]
innocent [AND] shy [IMPLY] modern [PERIOD]
shy [AND] diplomatic [AND] old-fashioned [IMPLY] good [PERIOD]
muddy [IMPLY] shy [PERIOD]
shy [AND] ambitious [IMPLY] mysterious [PERIOD]
innocent [AND] diplomatic [IMPLY] shy [PERIOD]
wandering [IMPLY] mysterious [PERIOD]
ambitious [AND] diplomatic [AND] muddy [IMPLY] modern [PERIOD]
good [IMPLY] quaint [PERIOD]
muddy [AND] modern [AND] wandering [IMPLY] good [PERIOD]
mysterious [IMPLY] muddy [PERIOD]
diplomatic [AND] tidy [IMPLY] modern [PERIOD]
ambitious [IMPLY] quaint [PERIOD]
innocent [AND] old-fashioned [IMPLY] mysterious [PERIOD]
innocent [IMPLY] diplomatic [PERIOD]
muddy [AND] quaint [IMPLY] diplomatic [PERIOD]
wandering [AND] quaint [AND] shy [IMPLY] old-fashioned [PERIOD]
wandering [AND] modern [IMPLY] ambitious [PERIOD]
wandering [IMPLY] muddy [PERIOD]
shy [AND] good [IMPLY] tidy [PERIOD]
modern [AND] tidy [IMPLY] innocent [PERIOD]
tidy [AND] good [IMPLY] shy [PERIOD]
diplomatic [AND] mysterious [IMPLY] modern [PERIOD]
ambitious [AND] old-fashioned [AND] muddy [IMPLY] diplomatic [PERIOD]
modern [AND] diplomatic [AND] mysterious [IMPLY] innocent [PERIOD]
tidy [IMPLY] modern [PERIOD]
wandering [IMPLY] old-fashioned [PERIOD]
quaint [AND] old-fashioned [AND] muddy [IMPLY] mysterious [PERIOD]
ambitious [AND] mysterious [AND] shy [IMPLY] diplomatic [PERIOD]
quaint [IMPLY] innocent [PERIOD]
quaint [IMPLY] ambitious [PERIOD]
muddy [AND] old-fashioned [IMPLY] modern [PERIOD]
Query: Alice is modern [PERIOD]","Proof chain:
   Cannot apply rule “innocent ∧ shy ∧ wandering ⇒ modern” because missing: innocent, shy, wandering.
   Cannot apply rule “innocent ∧ shy ⇒ modern” because missing: innocent, shy.
   Cannot apply rule “ambitious ∧ diplomatic ∧ muddy ⇒ modern” because missing: ambitious, diplomatic, muddy.
   Cannot apply rule “diplomatic ∧ tidy ⇒ modern” because missing: diplomatic, tidy.
   Cannot apply rule “diplomatic ∧ mysterious ⇒ modern” because missing: diplomatic, mysterious.
   Cannot apply rule “tidy ⇒ modern” because missing: tidy.
   Cannot apply rule “muddy ∧ old-fashioned ⇒ modern” because missing: muddy, old-fashioned.
",0,7
"Facts:  Alice is old-fashioned [PERIOD] Alice is hypocritical [PERIOD] Alice is silly [PERIOD] Alice is calm [PERIOD]
Rules:
gorgeous [AND] straightforward [AND] outrageous [IMPLY] hilarious [PERIOD]
silly [IMPLY] stormy [PERIOD]
alert [AND] ugliest [IMPLY] outrageous [PERIOD]
busy [AND] hilarious [IMPLY] spotless [PERIOD]
unpleasant [IMPLY] alert [PERIOD]
stormy [AND] cute [IMPLY] ugliest [PERIOD]
old-fashioned [IMPLY] spotless [PERIOD]
hilarious [AND] friendly [AND] spotless [IMPLY] ugly [PERIOD]
stormy [AND] unpleasant [AND] amused [IMPLY] hilarious [PERIOD]
spotless [AND] amused [AND] hypocritical [IMPLY] unpleasant [PERIOD]
alert [IMPLY] beautiful [PERIOD]
cute [IMPLY] powerful [PERIOD]
amused [IMPLY] old-fashioned [PERIOD]
busy [IMPLY] gorgeous [PERIOD]
calm [AND] hilarious [AND] amused [IMPLY] spotless [PERIOD]
straightforward [IMPLY] unpleasant [PERIOD]
busy [IMPLY] beautiful [PERIOD]
gorgeous [AND] old-fashioned [AND] hypocritical [IMPLY] amused [PERIOD]
blushing [AND] straightforward [AND] spotless [IMPLY] old-fashioned [PERIOD]
spotless [AND] powerful [AND] ugly [IMPLY] straightforward [PERIOD]
straightforward [AND] ugliest [IMPLY] unpleasant [PERIOD]
ugly [AND] cute [IMPLY] friendly [PERIOD]
busy [AND] stormy [IMPLY] powerful [PERIOD]
powerful [IMPLY] spotless [PERIOD]
old-fashioned [IMPLY] gorgeous [PERIOD]
gorgeous [AND] cute [IMPLY] unpleasant [PERIOD]
outrageous [AND] cute [IMPLY] ugliest [PERIOD]
hilarious [AND] amused [AND] blushing [IMPLY] ugly [PERIOD]
silly [AND] beautiful [AND] gorgeous [IMPLY] calm [PERIOD]
straightforward [IMPLY] beautiful [PERIOD]
beautiful [AND] hypocritical [IMPLY] outrageous [PERIOD]
hypocritical [AND] silly [AND] beautiful [IMPLY] cute [PERIOD]
spotless [AND] straightforward [AND] friendly [IMPLY] busy [PERIOD]
blushing [AND] beautiful [IMPLY] hilarious [PERIOD]
friendly [AND] alert [IMPLY] cute [PERIOD]
outrageous [AND] beautiful [IMPLY] blushing [PERIOD]
ugliest [IMPLY] hypocritical [PERIOD]
hilarious [IMPLY] gorgeous [PERIOD]
hypocritical [AND] alert [IMPLY] busy [PERIOD]
friendly [IMPLY] cute [PERIOD]
friendly [AND] alert [AND] spotless [IMPLY] busy [PERIOD]
old-fashioned [AND] beautiful [IMPLY] hilarious [PERIOD]
silly [AND] stormy [AND] busy [IMPLY] powerful [PERIOD]
cute [IMPLY] friendly [PERIOD]
powerful [AND] spotless [IMPLY] busy [PERIOD]
blushing [AND] calm [AND] silly [IMPLY] hilarious [PERIOD]
cute [IMPLY] ugly [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   old-fashioned ⇒ spotless
   old-fashioned ⇒ gorgeous
   gorgeous ∧ old-fashioned ∧ hypocritical ⇒ amused
   spotless ∧ amused ∧ hypocritical ⇒ unpleasant
   unpleasant ⇒ alert
   alert ⇒ beautiful
",1,6
"Facts: 
Rules:
fancy [AND] weary [AND] busy [IMPLY] witty [PERIOD]
loving [IMPLY] inquisitive [PERIOD]
frail [IMPLY] fancy [PERIOD]
weary [AND] witty [AND] talented [IMPLY] frail [PERIOD]
frail [AND] busy [IMPLY] talented [PERIOD]
loving [AND] witty [AND] frail [IMPLY] inquisitive [PERIOD]
talented [IMPLY] inquisitive [PERIOD]
diplomatic [AND] talented [IMPLY] fancy [PERIOD]
busy [IMPLY] bored [PERIOD]
frail [IMPLY] weary [PERIOD]
inquisitive [AND] bored [AND] weary [IMPLY] loving [PERIOD]
weary [IMPLY] frail [PERIOD]
diplomatic [AND] witty [IMPLY] inquisitive [PERIOD]
busy [IMPLY] weary [PERIOD]
loving [AND] witty [AND] inquisitive [IMPLY] frail [PERIOD]
witty [IMPLY] fancy [PERIOD]
witty [AND] bored [AND] inquisitive [IMPLY] fancy [PERIOD]
busy [AND] witty [IMPLY] loving [PERIOD]
talented [AND] weary [IMPLY] loving [PERIOD]
weary [IMPLY] loving [PERIOD]
weary [AND] talented [IMPLY] witty [PERIOD]
bored [AND] weary [AND] diplomatic [IMPLY] busy [PERIOD]
weary [AND] witty [AND] frail [IMPLY] busy [PERIOD]
talented [IMPLY] busy [PERIOD]
frail [IMPLY] busy [PERIOD]
witty [AND] weary [IMPLY] diplomatic [PERIOD]
busy [AND] weary [AND] frail [IMPLY] witty [PERIOD]
fancy [AND] bored [IMPLY] frail [PERIOD]
loving [IMPLY] talented [PERIOD]
busy [AND] weary [IMPLY] fancy [PERIOD]
diplomatic [AND] busy [AND] frail [IMPLY] talented [PERIOD]
witty [AND] bored [AND] loving [IMPLY] frail [PERIOD]
busy [AND] fancy [AND] loving [IMPLY] talented [PERIOD]
frail [AND] witty [IMPLY] talented [PERIOD]
bored [AND] busy [AND] weary [IMPLY] frail [PERIOD]
busy [AND] loving [AND] inquisitive [IMPLY] frail [PERIOD]
diplomatic [AND] weary [AND] witty [IMPLY] talented [PERIOD]
diplomatic [IMPLY] bored [PERIOD]
inquisitive [AND] weary [IMPLY] diplomatic [PERIOD]
diplomatic [AND] talented [IMPLY] witty [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “weary ∧ witty ∧ talented ⇒ frail” because missing: weary, witty, talented.
   Cannot apply rule “weary ⇒ frail” because missing: weary.
   Cannot apply rule “loving ∧ witty ∧ inquisitive ⇒ frail” because missing: loving, witty, inquisitive.
   Cannot apply rule “fancy ∧ bored ⇒ frail” because missing: fancy, bored.
   Cannot apply rule “witty ∧ bored ∧ loving ⇒ frail” because missing: witty, bored, loving.
   Cannot apply rule “bored ∧ busy ∧ weary ⇒ frail” because missing: bored, busy, weary.
   Cannot apply rule “busy ∧ loving ∧ inquisitive ⇒ frail” because missing: busy, loving, inquisitive.
",0,7
"Facts:  Alice is ugly [PERIOD] Alice is embarrassed [PERIOD] Alice is dishonest [PERIOD] Alice is ambitious [PERIOD]
Rules:
ugly [IMPLY] victorious [PERIOD]
bright [IMPLY] zealous [PERIOD]
sleepy [AND] bright [AND] diplomatic [IMPLY] ugly [PERIOD]
ambitious [IMPLY] rude [PERIOD]
beautiful [AND] bright [IMPLY] dishonest [PERIOD]
victorious [IMPLY] rude [PERIOD]
dishonest [IMPLY] victorious [PERIOD]
rude [IMPLY] inquisitive [PERIOD]
ugly [AND] sleepy [IMPLY] light [PERIOD]
beautiful [AND] rude [IMPLY] victorious [PERIOD]
lonely [AND] embarrassed [AND] average [IMPLY] sleepy [PERIOD]
ugly [AND] beautiful [IMPLY] ambitious [PERIOD]
inquisitive [IMPLY] long [PERIOD]
long [AND] zealous [AND] bright [IMPLY] diplomatic [PERIOD]
beautiful [IMPLY] bright [PERIOD]
victorious [IMPLY] light [PERIOD]
zealous [AND] inquisitive [IMPLY] beautiful [PERIOD]
rude [AND] bright [IMPLY] victorious [PERIOD]
zealous [IMPLY] inquisitive [PERIOD]
diplomatic [AND] dishonest [AND] lonely [IMPLY] bright [PERIOD]
lonely [AND] sleepy [IMPLY] zealous [PERIOD]
victorious [AND] inquisitive [IMPLY] rude [PERIOD]
ambitious [IMPLY] light [PERIOD]
inquisitive [IMPLY] rude [PERIOD]
inquisitive [IMPLY] beautiful [PERIOD]
long [IMPLY] zealous [PERIOD]
sleepy [AND] embarrassed [AND] average [IMPLY] diplomatic [PERIOD]
long [AND] sleepy [AND] light [IMPLY] inquisitive [PERIOD]
beautiful [AND] dishonest [AND] light [IMPLY] ugly [PERIOD]
ambitious [AND] zealous [IMPLY] beautiful [PERIOD]
ugly [IMPLY] average [PERIOD]
beautiful [IMPLY] ambitious [PERIOD]
average [IMPLY] ugly [PERIOD]
lonely [AND] embarrassed [AND] diplomatic [IMPLY] ugly [PERIOD]
sleepy [AND] average [AND] light [IMPLY] lonely [PERIOD]
diplomatic [AND] ugly [IMPLY] embarrassed [PERIOD]
inquisitive [AND] beautiful [AND] ugly [IMPLY] ambitious [PERIOD]
ambitious [AND] light [IMPLY] average [PERIOD]
bright [IMPLY] light [PERIOD]
embarrassed [AND] bright [IMPLY] light [PERIOD]
light [IMPLY] long [PERIOD]
ambitious [IMPLY] zealous [PERIOD]
light [IMPLY] inquisitive [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
   ambitious ⇒ rude
",1,1
"Facts:  Alice is helpful [PERIOD] Alice is easy [PERIOD] Alice is innocent [PERIOD]
Rules:
exuberant [IMPLY] agreeable [PERIOD]
exuberant [AND] innocent [AND] jittery [IMPLY] disgusted [PERIOD]
sensible [AND] tidy [AND] different [IMPLY] agreeable [PERIOD]
tidy [IMPLY] different [PERIOD]
sincere [AND] talkative [AND] exuberant [IMPLY] jittery [PERIOD]
old-fashioned [AND] sincere [AND] selfish [IMPLY] sleepy [PERIOD]
enchanting [IMPLY] sleepy [PERIOD]
disgusted [AND] helpful [AND] mean [IMPLY] sincere [PERIOD]
exuberant [AND] selfish [IMPLY] jittery [PERIOD]
old-fashioned [AND] sensible [AND] sincere [IMPLY] mean [PERIOD]
sincere [AND] agreeable [IMPLY] old-fashioned [PERIOD]
sincere [AND] innocent [AND] different [IMPLY] disobedient [PERIOD]
unpleasant [AND] amused [IMPLY] sleepy [PERIOD]
mean [AND] talkative [IMPLY] selfish [PERIOD]
agreeable [AND] sincere [IMPLY] unpleasant [PERIOD]
frail [IMPLY] average [PERIOD]
sensible [IMPLY] disobedient [PERIOD]
frail [IMPLY] disobedient [PERIOD]
mean [AND] sleepy [IMPLY] tidy [PERIOD]
old-fashioned [IMPLY] easy [PERIOD]
mean [AND] selfish [IMPLY] old-fashioned [PERIOD]
disobedient [AND] selfish [AND] tidy [IMPLY] jittery [PERIOD]
innocent [AND] selfish [AND] easy [IMPLY] average [PERIOD]
exuberant [AND] disobedient [AND] unpleasant [IMPLY] mean [PERIOD]
average [IMPLY] agreeable [PERIOD]
frail [IMPLY] talkative [PERIOD]
frail [AND] tidy [IMPLY] average [PERIOD]
enchanting [AND] agreeable [AND] sleepy [IMPLY] amused [PERIOD]
mean [IMPLY] old-fashioned [PERIOD]
talkative [AND] tidy [AND] sensible [IMPLY] helpful [PERIOD]
exuberant [AND] talkative [IMPLY] agreeable [PERIOD]
talkative [IMPLY] exuberant [PERIOD]
innocent [AND] sincere [AND] amused [IMPLY] average [PERIOD]
old-fashioned [AND] selfish [AND] mean [IMPLY] jittery [PERIOD]
sensible [AND] enchanting [AND] talkative [IMPLY] agreeable [PERIOD]
sensible [AND] average [IMPLY] different [PERIOD]
average [AND] sleepy [IMPLY] unpleasant [PERIOD]
selfish [AND] enchanting [AND] talkative [IMPLY] exuberant [PERIOD]
tidy [AND] sensible [AND] jittery [IMPLY] helpful [PERIOD]
exuberant [IMPLY] mean [PERIOD]
sleepy [IMPLY] amused [PERIOD]
enchanting [AND] exuberant [IMPLY] amused [PERIOD]
disobedient [IMPLY] helpful [PERIOD]
sleepy [IMPLY] frail [PERIOD]
different [IMPLY] frail [PERIOD]
unpleasant [AND] easy [IMPLY] sensible [PERIOD]
helpful [AND] sincere [IMPLY] amused [PERIOD]
mean [AND] disobedient [AND] selfish [IMPLY] enchanting [PERIOD]
selfish [IMPLY] different [PERIOD]
exuberant [AND] agreeable [IMPLY] sleepy [PERIOD]
easy [AND] amused [IMPLY] enchanting [PERIOD]
agreeable [IMPLY] disgusted [PERIOD]
mean [AND] agreeable [IMPLY] different [PERIOD]
enchanting [AND] mean [IMPLY] amused [PERIOD]
selfish [AND] helpful [AND] agreeable [IMPLY] sleepy [PERIOD]
sleepy [AND] amused [AND] sincere [IMPLY] disobedient [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “sleepy ⇒ frail” because missing: sleepy.
   Cannot apply rule “different ⇒ frail” because missing: different.
",0,2
"Facts:  Alice is pessimistic [PERIOD] Alice is enchanting [PERIOD] Alice is adorable [PERIOD] Alice is amused [PERIOD]
Rules:
polite [AND] famous [IMPLY] tired [PERIOD]
broad-minded [AND] tame [AND] tired [IMPLY] pessimistic [PERIOD]
rational [AND] famous [IMPLY] outstanding [PERIOD]
serious [AND] cute [AND] elegant [IMPLY] adorable [PERIOD]
tame [AND] polite [IMPLY] cute [PERIOD]
serious [AND] enchanting [AND] famous [IMPLY] pessimistic [PERIOD]
distinct [AND] pessimistic [IMPLY] amused [PERIOD]
polite [AND] outstanding [AND] pessimistic [IMPLY] supportive [PERIOD]
famous [AND] distinct [IMPLY] sincere [PERIOD]
enchanting [AND] distinct [AND] serious [IMPLY] supportive [PERIOD]
serious [AND] adorable [AND] pessimistic [IMPLY] sincere [PERIOD]
broad-minded [IMPLY] famous [PERIOD]
broad-minded [IMPLY] supportive [PERIOD]
supportive [IMPLY] modern [PERIOD]
pessimistic [AND] amused [IMPLY] distinct [PERIOD]
tame [AND] modern [AND] cute [IMPLY] outstanding [PERIOD]
enchanting [AND] distinct [IMPLY] tired [PERIOD]
distinct [AND] serious [AND] modern [IMPLY] supportive [PERIOD]
distinct [AND] tired [IMPLY] serious [PERIOD]
supportive [IMPLY] polite [PERIOD]
tired [IMPLY] pessimistic [PERIOD]
rational [AND] serious [AND] outstanding [IMPLY] famous [PERIOD]
tired [IMPLY] elegant [PERIOD]
amused [AND] supportive [AND] famous [IMPLY] broad-minded [PERIOD]
modern [AND] enchanting [AND] tame [IMPLY] broad-minded [PERIOD]
elegant [AND] adorable [AND] supportive [IMPLY] cute [PERIOD]
broad-minded [AND] outstanding [AND] modern [IMPLY] long [PERIOD]
broad-minded [IMPLY] rational [PERIOD]
serious [AND] pessimistic [IMPLY] polite [PERIOD]
pessimistic [IMPLY] serious [PERIOD]
tame [AND] amused [AND] famous [IMPLY] rational [PERIOD]
pessimistic [AND] serious [IMPLY] rational [PERIOD]
outstanding [AND] serious [AND] polite [IMPLY] amused [PERIOD]
rational [AND] broad-minded [IMPLY] cute [PERIOD]
distinct [IMPLY] enchanting [PERIOD]
enchanting [AND] distinct [IMPLY] amused [PERIOD]
famous [IMPLY] enchanting [PERIOD]
tame [AND] supportive [AND] adorable [IMPLY] sincere [PERIOD]
rational [AND] amused [IMPLY] polite [PERIOD]
serious [AND] modern [AND] sincere [IMPLY] enchanting [PERIOD]
elegant [IMPLY] adorable [PERIOD]
tame [IMPLY] adorable [PERIOD]
outstanding [IMPLY] elegant [PERIOD]
adorable [IMPLY] enchanting [PERIOD]
serious [AND] elegant [IMPLY] supportive [PERIOD]
broad-minded [IMPLY] sincere [PERIOD]
tame [AND] broad-minded [AND] famous [IMPLY] serious [PERIOD]
modern [AND] cute [AND] distinct [IMPLY] rational [PERIOD]
famous [AND] serious [IMPLY] amused [PERIOD]
amused [AND] polite [IMPLY] modern [PERIOD]
long [IMPLY] distinct [PERIOD]
adorable [AND] elegant [IMPLY] enchanting [PERIOD]
cute [AND] adorable [IMPLY] pessimistic [PERIOD]
adorable [AND] serious [IMPLY] long [PERIOD]
polite [IMPLY] rational [PERIOD]
long [AND] pessimistic [IMPLY] famous [PERIOD]
rational [IMPLY] distinct [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   pessimistic ∧ amused ⇒ distinct
   pessimistic ⇒ serious
   enchanting ∧ distinct ∧ serious ⇒ supportive
   pessimistic ⇒ serious
   adorable ∧ serious ⇒ long
   long ∧ pessimistic ⇒ famous
   amused ∧ supportive ∧ famous ⇒ broad-minded
",1,7
"Facts:  Alice is innocent [PERIOD] Alice is sensible [PERIOD] Alice is perfect [PERIOD] Alice is gorgeous [PERIOD]
Rules:
sensible [AND] old-fashioned [AND] innocent [IMPLY] perfect [PERIOD]
perfect [AND] gorgeous [AND] intellectual [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] sensible [AND] long [IMPLY] perfect [PERIOD]
ambitious [AND] intellectual [AND] innocent [IMPLY] perfect [PERIOD]
long [AND] perfect [IMPLY] sensible [PERIOD]
old-fashioned [IMPLY] ambitious [PERIOD]
gorgeous [IMPLY] long [PERIOD]
old-fashioned [AND] sensible [AND] long [IMPLY] frantic [PERIOD]
long [IMPLY] thoughtless [PERIOD]
frantic [IMPLY] sensible [PERIOD]
thoughtless [IMPLY] ambitious [PERIOD]
sensible [AND] long [IMPLY] frantic [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   gorgeous ⇒ long
   long ⇒ thoughtless
   thoughtless ⇒ ambitious
",1,3
"Facts:  Alice is clean [PERIOD] Alice is tense [PERIOD] Alice is messy [PERIOD] Alice is anxious [PERIOD] Alice is jittery [PERIOD]
Rules:
messy [AND] tense [AND] attractive [IMPLY] stupid [PERIOD]
anxious [AND] attractive [AND] tense [IMPLY] jittery [PERIOD]
stupid [AND] mean [AND] clean [IMPLY] diplomatic [PERIOD]
bright [AND] tense [AND] attractive [IMPLY] clean [PERIOD]
attractive [AND] clean [IMPLY] bright [PERIOD]
bright [IMPLY] messy [PERIOD]
jittery [IMPLY] strange [PERIOD]
attractive [AND] jittery [AND] messy [IMPLY] clean [PERIOD]
wide-eyed [AND] tense [IMPLY] attractive [PERIOD]
attractive [AND] clean [AND] bright [IMPLY] diplomatic [PERIOD]
clean [AND] wide-eyed [IMPLY] jittery [PERIOD]
stupid [AND] diplomatic [AND] mean [IMPLY] messy [PERIOD]
mean [AND] attractive [AND] clean [IMPLY] tense [PERIOD]
attractive [AND] strange [AND] diplomatic [IMPLY] clean [PERIOD]
messy [IMPLY] bright [PERIOD]
strange [AND] diplomatic [AND] wide-eyed [IMPLY] stupid [PERIOD]
bright [AND] strange [IMPLY] clean [PERIOD]
stupid [AND] strange [AND] tense [IMPLY] bright [PERIOD]
wide-eyed [AND] clean [IMPLY] tense [PERIOD]
strange [AND] stupid [IMPLY] jittery [PERIOD]
clean [AND] attractive [AND] wide-eyed [IMPLY] messy [PERIOD]
clean [IMPLY] jittery [PERIOD]
clean [AND] strange [IMPLY] diplomatic [PERIOD]
strange [AND] jittery [AND] bright [IMPLY] anxious [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   Cannot apply rule “messy ∧ tense ∧ attractive ⇒ stupid” because missing: attractive.
   jittery ⇒ strange
   jittery ⇒ strange
   clean ∧ strange ⇒ diplomatic
   Cannot apply rule “strange ∧ diplomatic ∧ wide-eyed ⇒ stupid” because missing: wide-eyed.
",0,5
"Facts:  Alice is bored [PERIOD] Alice is ugly [PERIOD] Alice is muddy [PERIOD] Alice is inexpensive [PERIOD] Alice is careless [PERIOD] Alice is sleepy [PERIOD]
Rules:
messy [AND] grumpy [AND] pessimistic [IMPLY] muddy [PERIOD]
pessimistic [AND] inexpensive [IMPLY] beautiful [PERIOD]
plain [AND] foolish [AND] inexpensive [IMPLY] stubborn [PERIOD]
beautiful [AND] ugly [AND] plain [IMPLY] inexpensive [PERIOD]
inexpensive [AND] mean [IMPLY] plain [PERIOD]
foolish [AND] muddy [AND] mean [IMPLY] plain [PERIOD]
aggressive [IMPLY] messy [PERIOD]
serious [AND] beautiful [AND] plain [IMPLY] messy [PERIOD]
mean [AND] messy [AND] bored [IMPLY] distinct [PERIOD]
bored [AND] ugly [AND] stubborn [IMPLY] distinct [PERIOD]
bored [IMPLY] careless [PERIOD]
muddy [IMPLY] bored [PERIOD]
beautiful [AND] sleepy [AND] pessimistic [IMPLY] grumpy [PERIOD]
ugly [AND] confused [AND] pessimistic [IMPLY] bored [PERIOD]
plain [AND] bored [IMPLY] beautiful [PERIOD]
foolish [AND] pessimistic [AND] aggressive [IMPLY] serious [PERIOD]
foolish [AND] inexpensive [AND] bored [IMPLY] plain [PERIOD]
mean [AND] aggressive [AND] ugly [IMPLY] plain [PERIOD]
beautiful [AND] muddy [IMPLY] careless [PERIOD]
serious [IMPLY] beautiful [PERIOD]
distinct [IMPLY] muddy [PERIOD]
plain [IMPLY] beautiful [PERIOD]
grumpy [AND] mean [IMPLY] confused [PERIOD]
distinct [AND] confused [IMPLY] inexpensive [PERIOD]
messy [AND] ugly [AND] agreeable [IMPLY] stubborn [PERIOD]
plain [AND] serious [IMPLY] careless [PERIOD]
mean [AND] careless [IMPLY] stubborn [PERIOD]
bored [AND] confused [IMPLY] pessimistic [PERIOD]
ugly [AND] beautiful [IMPLY] plain [PERIOD]
grumpy [IMPLY] sleepy [PERIOD]
inexpensive [IMPLY] grumpy [PERIOD]
mean [AND] beautiful [IMPLY] careless [PERIOD]
distinct [AND] sleepy [IMPLY] serious [PERIOD]
agreeable [AND] messy [AND] careless [IMPLY] grumpy [PERIOD]
serious [AND] agreeable [IMPLY] inexpensive [PERIOD]
agreeable [IMPLY] messy [PERIOD]
stubborn [IMPLY] sleepy [PERIOD]
confused [AND] beautiful [AND] serious [IMPLY] sleepy [PERIOD]
agreeable [AND] messy [IMPLY] stubborn [PERIOD]
plain [AND] ugly [AND] beautiful [IMPLY] stubborn [PERIOD]
sleepy [AND] bored [IMPLY] pessimistic [PERIOD]
inexpensive [AND] careless [IMPLY] serious [PERIOD]
mean [IMPLY] ugly [PERIOD]
agreeable [IMPLY] foolish [PERIOD]
muddy [AND] sleepy [IMPLY] careless [PERIOD]
careless [AND] distinct [IMPLY] aggressive [PERIOD]
distinct [AND] messy [AND] plain [IMPLY] confused [PERIOD]
inexpensive [IMPLY] distinct [PERIOD]
messy [AND] careless [IMPLY] stubborn [PERIOD]
messy [AND] beautiful [IMPLY] distinct [PERIOD]
inexpensive [AND] stubborn [IMPLY] foolish [PERIOD]
agreeable [AND] grumpy [AND] ugly [IMPLY] plain [PERIOD]
foolish [AND] mean [AND] aggressive [IMPLY] stubborn [PERIOD]
sleepy [AND] messy [AND] pessimistic [IMPLY] plain [PERIOD]
distinct [AND] mean [IMPLY] beautiful [PERIOD]
muddy [AND] agreeable [IMPLY] beautiful [PERIOD]
foolish [IMPLY] bored [PERIOD]
inexpensive [IMPLY] serious [PERIOD]
distinct [AND] pessimistic [IMPLY] foolish [PERIOD]
confused [AND] aggressive [AND] stubborn [IMPLY] agreeable [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   sleepy ∧ bored ⇒ pessimistic
   pessimistic ∧ inexpensive ⇒ beautiful
   ugly ∧ beautiful ⇒ plain
",1,3
"Facts: 
Rules:
beautiful [AND] helpful [AND] confused [IMPLY] attractive [PERIOD]
attractive [AND] helpless [IMPLY] hilarious [PERIOD]
outrageous [IMPLY] bad-tempered [PERIOD]
helpful [AND] gleaming [AND] hilarious [IMPLY] confused [PERIOD]
straightforward [AND] outrageous [IMPLY] helpful [PERIOD]
ugly [AND] confused [AND] straightforward [IMPLY] attractive [PERIOD]
bossy [IMPLY] straightforward [PERIOD]
straightforward [AND] gleaming [AND] attractive [IMPLY] hilarious [PERIOD]
ugly [IMPLY] hilarious [PERIOD]
attractive [IMPLY] impartial [PERIOD]
attractive [AND] gleaming [IMPLY] frantic [PERIOD]
bad-tempered [AND] gleaming [IMPLY] hilarious [PERIOD]
beautiful [IMPLY] bossy [PERIOD]
helpful [IMPLY] spotless [PERIOD]
bad-tempered [IMPLY] helpful [PERIOD]
ugly [AND] beautiful [AND] confused [IMPLY] outrageous [PERIOD]
bad-tempered [AND] outrageous [AND] frantic [IMPLY] helpless [PERIOD]
frantic [AND] helpless [IMPLY] attractive [PERIOD]
straightforward [AND] helpless [AND] ugly [IMPLY] confused [PERIOD]
straightforward [AND] frantic [IMPLY] spotless [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   Cannot apply rule “attractive ∧ helpless ⇒ hilarious” because missing: attractive, helpless.
   Cannot apply rule “straightforward ∧ gleaming ∧ attractive ⇒ hilarious” because missing: straightforward, gleaming, attractive.
   Cannot apply rule “ugly ⇒ hilarious” because missing: ugly.
   Cannot apply rule “bad-tempered ∧ gleaming ⇒ hilarious” because missing: bad-tempered, gleaming.
",0,4
"Facts:  Alice is homely [PERIOD] Alice is quaint [PERIOD] Alice is frail [PERIOD] Alice is selfish [PERIOD] Alice is fearless [PERIOD] Alice is gorgeous [PERIOD] Alice is wrong [PERIOD] Alice is modern [PERIOD] Alice is good [PERIOD] Alice is old-fashioned [PERIOD] Alice is sleepy [PERIOD] Alice is stormy [PERIOD] Alice is difficult [PERIOD] Alice is busy [PERIOD] Alice is famous [PERIOD]
Rules:
good [AND] sleepy [AND] victorious [IMPLY] old-fashioned [PERIOD]
dull [AND] modern [IMPLY] old-fashioned [PERIOD]
proud [AND] frail [IMPLY] worrisome [PERIOD]
sleepy [AND] elegant [AND] fearless [IMPLY] proud [PERIOD]
sleepy [IMPLY] dull [PERIOD]
good [AND] shiny [IMPLY] modern [PERIOD]
busy [IMPLY] dull [PERIOD]
victorious [IMPLY] famous [PERIOD]
sleepy [AND] gorgeous [AND] busy [IMPLY] wrong [PERIOD]
selfish [AND] modern [AND] good [IMPLY] old-fashioned [PERIOD]
stormy [AND] worrisome [IMPLY] dull [PERIOD]
proud [IMPLY] homely [PERIOD]
selfish [IMPLY] fearless [PERIOD]
victorious [AND] busy [AND] quaint [IMPLY] selfish [PERIOD]
selfish [AND] elegant [AND] worrisome [IMPLY] old-fashioned [PERIOD]
good [IMPLY] fearless [PERIOD]
worrisome [AND] shiny [IMPLY] good [PERIOD]
frail [AND] good [IMPLY] shiny [PERIOD]
victorious [AND] modern [AND] worrisome [IMPLY] busy [PERIOD]
dull [AND] busy [IMPLY] modern [PERIOD]
selfish [AND] busy [AND] difficult [IMPLY] elegant [PERIOD]
gorgeous [AND] wrong [IMPLY] sleepy [PERIOD]
quaint [AND] proud [AND] worrisome [IMPLY] dull [PERIOD]
wrong [IMPLY] sleepy [PERIOD]
gorgeous [AND] stormy [IMPLY] shiny [PERIOD]
modern [AND] worrisome [IMPLY] shiny [PERIOD]
good [AND] shiny [AND] elegant [IMPLY] sleepy [PERIOD]
dull [AND] stormy [IMPLY] homely [PERIOD]
worrisome [IMPLY] good [PERIOD]
difficult [AND] frail [IMPLY] dull [PERIOD]
stormy [AND] wrong [IMPLY] fearless [PERIOD]
victorious [IMPLY] stormy [PERIOD]
old-fashioned [IMPLY] selfish [PERIOD]
fearless [AND] stormy [IMPLY] shiny [PERIOD]
wrong [IMPLY] gorgeous [PERIOD]
wrong [AND] shiny [IMPLY] victorious [PERIOD]
gorgeous [AND] sleepy [AND] proud [IMPLY] famous [PERIOD]
modern [AND] proud [AND] busy [IMPLY] selfish [PERIOD]
selfish [IMPLY] sleepy [PERIOD]
selfish [IMPLY] victorious [PERIOD]
stormy [IMPLY] difficult [PERIOD]
elegant [IMPLY] selfish [PERIOD]
selfish [IMPLY] dull [PERIOD]
difficult [AND] shiny [IMPLY] gorgeous [PERIOD]
difficult [AND] proud [AND] shiny [IMPLY] famous [PERIOD]
difficult [AND] elegant [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] quaint [AND] proud [IMPLY] sleepy [PERIOD]
fearless [AND] famous [AND] elegant [IMPLY] shiny [PERIOD]
homely [AND] modern [AND] dull [IMPLY] good [PERIOD]
wrong [AND] proud [AND] sleepy [IMPLY] famous [PERIOD]
wrong [AND] homely [AND] sleepy [IMPLY] victorious [PERIOD]
homely [AND] famous [AND] elegant [IMPLY] sleepy [PERIOD]
quaint [AND] proud [IMPLY] difficult [PERIOD]
gorgeous [AND] old-fashioned [IMPLY] quaint [PERIOD]
old-fashioned [IMPLY] homely [PERIOD]
sleepy [IMPLY] stormy [PERIOD]
famous [AND] homely [AND] old-fashioned [IMPLY] frail [PERIOD]
victorious [AND] selfish [AND] old-fashioned [IMPLY] busy [PERIOD]
worrisome [AND] frail [AND] victorious [IMPLY] proud [PERIOD]
worrisome [IMPLY] homely [PERIOD]
busy [IMPLY] fearless [PERIOD]
frail [IMPLY] busy [PERIOD]
famous [AND] old-fashioned [IMPLY] shiny [PERIOD]
frail [AND] modern [AND] gorgeous [IMPLY] homely [PERIOD]
quaint [AND] sleepy [IMPLY] old-fashioned [PERIOD]
selfish [AND] proud [IMPLY] sleepy [PERIOD]
wrong [AND] elegant [IMPLY] shiny [PERIOD]
quaint [AND] victorious [AND] selfish [IMPLY] frail [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is intellectual [PERIOD] Alice is mean [PERIOD] Alice is talented [PERIOD] Alice is hilarious [PERIOD] Alice is difficult [PERIOD]
Rules:
versatile [IMPLY] difficult [PERIOD]
intellectual [AND] mean [AND] homely [IMPLY] proud [PERIOD]
joyous [IMPLY] sleepy [PERIOD]
combative [IMPLY] mean [PERIOD]
difficult [AND] homely [AND] weary [IMPLY] combative [PERIOD]
gifted [AND] calm [IMPLY] proud [PERIOD]
dishonest [IMPLY] sleepy [PERIOD]
vivacious [AND] talented [IMPLY] gifted [PERIOD]
intellectual [IMPLY] talented [PERIOD]
proud [IMPLY] versatile [PERIOD]
frightened [AND] sleepy [IMPLY] smart [PERIOD]
weary [AND] confident [IMPLY] hilarious [PERIOD]
hilarious [AND] mean [IMPLY] frightened [PERIOD]
combative [IMPLY] elegant [PERIOD]
confident [IMPLY] talented [PERIOD]
sleepy [IMPLY] dishonest [PERIOD]
difficult [IMPLY] jittery [PERIOD]
versatile [IMPLY] joyous [PERIOD]
smart [IMPLY] jittery [PERIOD]
confident [AND] combative [AND] proud [IMPLY] jittery [PERIOD]
intellectual [IMPLY] difficult [PERIOD]
gifted [AND] vivacious [IMPLY] joyous [PERIOD]
dishonest [IMPLY] weary [PERIOD]
proud [AND] talented [IMPLY] elegant [PERIOD]
calm [AND] vivacious [IMPLY] joyous [PERIOD]
frightened [IMPLY] vivacious [PERIOD]
gifted [AND] dishonest [IMPLY] joyous [PERIOD]
combative [IMPLY] jittery [PERIOD]
combative [IMPLY] average [PERIOD]
weary [AND] hilarious [AND] talented [IMPLY] intellectual [PERIOD]
versatile [IMPLY] frightened [PERIOD]
intellectual [AND] jittery [IMPLY] vivacious [PERIOD]
confident [AND] vivacious [IMPLY] frightened [PERIOD]
joyous [IMPLY] confident [PERIOD]
combative [AND] frightened [IMPLY] average [PERIOD]
sleepy [AND] difficult [IMPLY] intellectual [PERIOD]
calm [AND] elegant [AND] combative [IMPLY] weary [PERIOD]
combative [IMPLY] dishonest [PERIOD]
confident [AND] jittery [IMPLY] hilarious [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   No rule concludes “homely.”
",0,1
"Facts:  Alice is tender [PERIOD] Alice is outrageous [PERIOD] Alice is dishonest [PERIOD] Alice is distinct [PERIOD] Alice is good [PERIOD] Alice is helpful [PERIOD] Alice is helpless [PERIOD] Alice is cooperative [PERIOD] Alice is old-fashioned [PERIOD] Alice is talented [PERIOD] Alice is ugly [PERIOD]
Rules:
anxious [AND] tender [IMPLY] talented [PERIOD]
tender [AND] spotless [IMPLY] weary [PERIOD]
ugly [AND] jittery [IMPLY] dishonest [PERIOD]
cooperative [IMPLY] dishonest [PERIOD]
outrageous [AND] helpful [AND] confused [IMPLY] helpless [PERIOD]
good [IMPLY] spotless [PERIOD]
helpful [IMPLY] helpless [PERIOD]
friendly [IMPLY] distinct [PERIOD]
outrageous [AND] old-fashioned [AND] talented [IMPLY] jittery [PERIOD]
shiny [AND] anxious [IMPLY] frail [PERIOD]
outrageous [AND] confused [AND] dull [IMPLY] talented [PERIOD]
pessimistic [IMPLY] distinct [PERIOD]
modern [AND] weary [AND] pessimistic [IMPLY] jittery [PERIOD]
cooperative [IMPLY] amused [PERIOD]
dishonest [IMPLY] amused [PERIOD]
talented [AND] tame [AND] tender [IMPLY] good [PERIOD]
confused [AND] dull [IMPLY] frail [PERIOD]
tame [AND] scared [IMPLY] confused [PERIOD]
jittery [AND] old-fashioned [AND] spotless [IMPLY] dishonest [PERIOD]
weary [AND] talented [IMPLY] anxious [PERIOD]
scared [IMPLY] pessimistic [PERIOD]
pessimistic [AND] dishonest [IMPLY] modern [PERIOD]
ugly [AND] helpful [AND] spotless [IMPLY] frail [PERIOD]
dishonest [AND] shiny [AND] tender [IMPLY] weary [PERIOD]
dull [IMPLY] talented [PERIOD]
modern [AND] pessimistic [AND] good [IMPLY] jittery [PERIOD]
tame [AND] frail [AND] tender [IMPLY] helpless [PERIOD]
scared [AND] tame [AND] good [IMPLY] smart [PERIOD]
tame [AND] outrageous [IMPLY] dishonest [PERIOD]
smart [AND] confused [AND] tame [IMPLY] scared [PERIOD]
smart [AND] ugly [IMPLY] modern [PERIOD]
good [IMPLY] smart [PERIOD]
confused [AND] helpless [IMPLY] smart [PERIOD]
helpless [AND] tame [AND] dull [IMPLY] cooperative [PERIOD]
cooperative [AND] jittery [AND] friendly [IMPLY] helpless [PERIOD]
jittery [AND] helpful [IMPLY] cooperative [PERIOD]
scared [AND] good [IMPLY] modern [PERIOD]
smart [AND] frail [IMPLY] dishonest [PERIOD]
helpless [AND] tame [IMPLY] friendly [PERIOD]
tame [AND] dull [IMPLY] weary [PERIOD]
old-fashioned [AND] ugly [IMPLY] dull [PERIOD]
dishonest [AND] weary [AND] tender [IMPLY] scared [PERIOD]
amused [IMPLY] smart [PERIOD]
frail [AND] dishonest [AND] ugly [IMPLY] helpless [PERIOD]
old-fashioned [AND] scared [AND] outrageous [IMPLY] confused [PERIOD]
tender [AND] confused [AND] ugly [IMPLY] helpful [PERIOD]
modern [AND] dull [IMPLY] old-fashioned [PERIOD]
helpless [AND] talented [IMPLY] weary [PERIOD]
dishonest [IMPLY] good [PERIOD]
friendly [AND] ugly [IMPLY] helpful [PERIOD]
scared [AND] spotless [AND] anxious [IMPLY] tame [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   helpless ∧ talented ⇒ weary
   dishonest ∧ weary ∧ tender ⇒ scared
   good ⇒ spotless
   helpless ∧ talented ⇒ weary
   weary ∧ talented ⇒ anxious
   scared ∧ spotless ∧ anxious ⇒ tame
   helpless ∧ tame ⇒ friendly
",1,7
"Facts: 
Rules:
innocent [IMPLY] unpleasant [PERIOD]
wandering [IMPLY] broad-minded [PERIOD]
muddy [AND] unpleasant [AND] wandering [IMPLY] innocent [PERIOD]
pessimistic [IMPLY] innocent [PERIOD]
messy [IMPLY] fancy [PERIOD]
messy [AND] innocent [AND] wandering [IMPLY] pessimistic [PERIOD]
wandering [AND] broad-minded [AND] muddy [IMPLY] innocent [PERIOD]
muddy [IMPLY] silly [PERIOD]
broad-minded [IMPLY] innocent [PERIOD]
innocent [AND] unpleasant [IMPLY] silly [PERIOD]
silly [AND] innocent [AND] pessimistic [IMPLY] wandering [PERIOD]
muddy [IMPLY] messy [PERIOD]
innocent [IMPLY] messy [PERIOD]
innocent [AND] messy [IMPLY] pessimistic [PERIOD]
pessimistic [IMPLY] wandering [PERIOD]
silly [AND] wandering [AND] pessimistic [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] pessimistic [PERIOD]
fancy [AND] silly [AND] muddy [IMPLY] broad-minded [PERIOD]
messy [AND] silly [IMPLY] muddy [PERIOD]
wandering [AND] broad-minded [IMPLY] silly [PERIOD]
pessimistic [IMPLY] silly [PERIOD]
unpleasant [IMPLY] broad-minded [PERIOD]
silly [IMPLY] fancy [PERIOD]
innocent [IMPLY] wandering [PERIOD]
innocent [IMPLY] muddy [PERIOD]
fancy [AND] pessimistic [AND] innocent [IMPLY] muddy [PERIOD]
fancy [AND] silly [AND] innocent [IMPLY] messy [PERIOD]
wandering [AND] muddy [AND] silly [IMPLY] messy [PERIOD]
muddy [AND] unpleasant [IMPLY] messy [PERIOD]
innocent [AND] unpleasant [IMPLY] wandering [PERIOD]
unpleasant [AND] pessimistic [IMPLY] messy [PERIOD]
wandering [AND] silly [IMPLY] pessimistic [PERIOD]
broad-minded [AND] innocent [IMPLY] unpleasant [PERIOD]
fancy [IMPLY] muddy [PERIOD]
fancy [AND] messy [AND] silly [IMPLY] pessimistic [PERIOD]
unpleasant [AND] muddy [AND] fancy [IMPLY] silly [PERIOD]
Query: Alice is messy [PERIOD]","Proof chain:
   Cannot apply rule “muddy ⇒ messy” because missing: muddy.
   Cannot apply rule “innocent ⇒ messy” because missing: innocent.
   Cannot apply rule “fancy ∧ silly ∧ innocent ⇒ messy” because missing: fancy, silly, innocent.
   Cannot apply rule “wandering ∧ muddy ∧ silly ⇒ messy” because missing: wandering, muddy, silly.
   Cannot apply rule “muddy ∧ unpleasant ⇒ messy” because missing: muddy, unpleasant.
   Cannot apply rule “unpleasant ∧ pessimistic ⇒ messy” because missing: unpleasant, pessimistic.
",0,6
"Facts:  Alice is rational [PERIOD] Alice is victorious [PERIOD] Alice is homely [PERIOD] Alice is calm [PERIOD] Alice is naughty [PERIOD] Alice is sensible [PERIOD] Alice is selfish [PERIOD] Alice is courageous [PERIOD] Alice is exuberant [PERIOD] Alice is tidy [PERIOD] Alice is famous [PERIOD] Alice is strange [PERIOD] Alice is comfortable [PERIOD] Alice is alert [PERIOD] Alice is elegant [PERIOD] Alice is spotless [PERIOD] Alice is glamorous [PERIOD] Alice is bored [PERIOD] Alice is precious [PERIOD] Alice is excited [PERIOD] Alice is cooperative [PERIOD] Alice is fancy [PERIOD] Alice is sleepy [PERIOD] Alice is versatile [PERIOD] Alice is attentive [PERIOD] Alice is friendly [PERIOD] Alice is powerful [PERIOD]
Rules:
tidy [AND] fancy [AND] selfish [IMPLY] attentive [PERIOD]
rational [AND] naughty [AND] excited [IMPLY] calm [PERIOD]
famous [IMPLY] strange [PERIOD]
sensible [AND] glamorous [IMPLY] strange [PERIOD]
calm [IMPLY] sleepy [PERIOD]
versatile [AND] fancy [IMPLY] alert [PERIOD]
rational [AND] sleepy [IMPLY] sensible [PERIOD]
selfish [IMPLY] elegant [PERIOD]
rational [AND] sensible [IMPLY] tidy [PERIOD]
comfortable [IMPLY] homely [PERIOD]
glamorous [AND] rational [IMPLY] homely [PERIOD]
cooperative [IMPLY] bored [PERIOD]
elegant [AND] calm [IMPLY] victorious [PERIOD]
sleepy [AND] naughty [AND] bored [IMPLY] glamorous [PERIOD]
rational [AND] spotless [IMPLY] friendly [PERIOD]
bored [IMPLY] homely [PERIOD]
comfortable [AND] sleepy [IMPLY] powerful [PERIOD]
famous [AND] naughty [AND] selfish [IMPLY] victorious [PERIOD]
strange [AND] exuberant [AND] naughty [IMPLY] alert [PERIOD]
alert [AND] bored [IMPLY] precious [PERIOD]
comfortable [AND] cooperative [IMPLY] homely [PERIOD]
precious [AND] famous [IMPLY] tidy [PERIOD]
spotless [AND] versatile [IMPLY] excited [PERIOD]
attentive [AND] sensible [AND] tidy [IMPLY] alert [PERIOD]
bored [IMPLY] versatile [PERIOD]
excited [AND] strange [AND] selfish [IMPLY] naughty [PERIOD]
rational [IMPLY] powerful [PERIOD]
comfortable [AND] versatile [IMPLY] famous [PERIOD]
precious [IMPLY] homely [PERIOD]
strange [AND] famous [AND] courageous [IMPLY] glamorous [PERIOD]
courageous [AND] friendly [IMPLY] famous [PERIOD]
glamorous [AND] precious [IMPLY] selfish [PERIOD]
homely [IMPLY] selfish [PERIOD]
attentive [AND] rational [AND] calm [IMPLY] selfish [PERIOD]
famous [IMPLY] elegant [PERIOD]
alert [IMPLY] naughty [PERIOD]
attentive [IMPLY] famous [PERIOD]
exuberant [IMPLY] bored [PERIOD]
friendly [AND] elegant [AND] exuberant [IMPLY] sleepy [PERIOD]
attentive [IMPLY] exuberant [PERIOD]
courageous [AND] sleepy [IMPLY] strange [PERIOD]
elegant [IMPLY] fancy [PERIOD]
selfish [IMPLY] victorious [PERIOD]
tidy [IMPLY] victorious [PERIOD]
alert [IMPLY] selfish [PERIOD]
versatile [AND] sensible [AND] bored [IMPLY] spotless [PERIOD]
sensible [IMPLY] precious [PERIOD]
sensible [AND] excited [AND] bored [IMPLY] friendly [PERIOD]
versatile [AND] alert [AND] calm [IMPLY] sensible [PERIOD]
bored [IMPLY] sensible [PERIOD]
strange [AND] excited [AND] alert [IMPLY] precious [PERIOD]
excited [AND] exuberant [IMPLY] attentive [PERIOD]
fancy [AND] glamorous [IMPLY] courageous [PERIOD]
precious [AND] famous [IMPLY] friendly [PERIOD]
fancy [AND] strange [AND] alert [IMPLY] selfish [PERIOD]
excited [AND] sleepy [IMPLY] fancy [PERIOD]
elegant [IMPLY] calm [PERIOD]
attentive [AND] friendly [AND] excited [IMPLY] homely [PERIOD]
fancy [AND] precious [IMPLY] homely [PERIOD]
tidy [IMPLY] courageous [PERIOD]
naughty [IMPLY] spotless [PERIOD]
victorious [IMPLY] precious [PERIOD]
naughty [AND] victorious [AND] comfortable [IMPLY] selfish [PERIOD]
versatile [AND] powerful [IMPLY] excited [PERIOD]
fancy [IMPLY] homely [PERIOD]
sleepy [AND] bored [IMPLY] friendly [PERIOD]
cooperative [AND] victorious [IMPLY] powerful [PERIOD]
cooperative [AND] comfortable [IMPLY] tidy [PERIOD]
strange [IMPLY] calm [PERIOD]
victorious [AND] sleepy [IMPLY] selfish [PERIOD]
victorious [AND] spotless [IMPLY] friendly [PERIOD]
rational [AND] cooperative [IMPLY] tidy [PERIOD]
alert [IMPLY] rational [PERIOD]
exuberant [AND] cooperative [IMPLY] powerful [PERIOD]
victorious [AND] rational [AND] alert [IMPLY] glamorous [PERIOD]
friendly [AND] sleepy [AND] cooperative [IMPLY] attentive [PERIOD]
sensible [AND] excited [AND] selfish [IMPLY] fancy [PERIOD]
sensible [AND] cooperative [AND] excited [IMPLY] tidy [PERIOD]
glamorous [IMPLY] bored [PERIOD]
cooperative [IMPLY] naughty [PERIOD]
versatile [IMPLY] exuberant [PERIOD]
glamorous [AND] fancy [AND] friendly [IMPLY] exuberant [PERIOD]
alert [AND] spotless [IMPLY] sensible [PERIOD]
powerful [AND] strange [IMPLY] attentive [PERIOD]
bored [AND] alert [IMPLY] attentive [PERIOD]
selfish [AND] spotless [AND] courageous [IMPLY] famous [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is sincere [PERIOD] Alice is impatient [PERIOD]
Rules:
innocent [AND] straightforward [AND] frantic [IMPLY] cute [PERIOD]
sincere [IMPLY] foolish [PERIOD]
foolish [AND] helpful [AND] serious [IMPLY] sincere [PERIOD]
calm [AND] frantic [AND] cute [IMPLY] straightforward [PERIOD]
straightforward [AND] frantic [AND] ugly [IMPLY] rude [PERIOD]
rude [IMPLY] sincere [PERIOD]
frightened [IMPLY] frantic [PERIOD]
ugly [AND] cute [IMPLY] frantic [PERIOD]
ugly [AND] straightforward [IMPLY] sincere [PERIOD]
frantic [IMPLY] rude [PERIOD]
gifted [AND] sincere [AND] cute [IMPLY] helpful [PERIOD]
sincere [AND] serious [IMPLY] impatient [PERIOD]
bad-tempered [IMPLY] calm [PERIOD]
ugly [AND] impatient [IMPLY] straightforward [PERIOD]
helpful [IMPLY] foolish [PERIOD]
sincere [AND] impatient [IMPLY] foolish [PERIOD]
frightened [AND] helpful [IMPLY] calm [PERIOD]
foolish [IMPLY] ugly [PERIOD]
impatient [AND] straightforward [AND] serious [IMPLY] rude [PERIOD]
gifted [AND] bad-tempered [IMPLY] straightforward [PERIOD]
frantic [AND] gifted [IMPLY] helpful [PERIOD]
frightened [IMPLY] innocent [PERIOD]
calm [AND] foolish [AND] bad-tempered [IMPLY] rude [PERIOD]
foolish [AND] sincere [AND] cute [IMPLY] rude [PERIOD]
frightened [IMPLY] impatient [PERIOD]
serious [AND] helpful [IMPLY] ugly [PERIOD]
gifted [AND] helpful [IMPLY] frightened [PERIOD]
frantic [AND] calm [AND] helpful [IMPLY] bad-tempered [PERIOD]
straightforward [AND] serious [AND] rude [IMPLY] helpful [PERIOD]
helpful [AND] impatient [AND] gifted [IMPLY] ugly [PERIOD]
sincere [IMPLY] bad-tempered [PERIOD]
straightforward [AND] helpful [IMPLY] cute [PERIOD]
straightforward [AND] ugly [IMPLY] cute [PERIOD]
foolish [AND] gifted [AND] impatient [IMPLY] rude [PERIOD]
serious [AND] ugly [AND] impatient [IMPLY] gifted [PERIOD]
gifted [IMPLY] calm [PERIOD]
sincere [AND] innocent [AND] bad-tempered [IMPLY] ugly [PERIOD]
ugly [AND] gifted [AND] frantic [IMPLY] frightened [PERIOD]
impatient [AND] ugly [AND] straightforward [IMPLY] calm [PERIOD]
rude [AND] sincere [IMPLY] serious [PERIOD]
rude [IMPLY] bad-tempered [PERIOD]
impatient [AND] innocent [AND] serious [IMPLY] cute [PERIOD]
frightened [AND] cute [IMPLY] impatient [PERIOD]
calm [AND] ugly [AND] foolish [IMPLY] frantic [PERIOD]
helpful [AND] frightened [IMPLY] ugly [PERIOD]
impatient [AND] gifted [IMPLY] frightened [PERIOD]
helpful [IMPLY] serious [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
   sincere ⇒ bad-tempered
   bad-tempered ⇒ calm
   sincere ⇒ foolish
   sincere ⇒ bad-tempered
   calm ∧ foolish ∧ bad-tempered ⇒ rude
",1,5
"Facts: 
Rules:
plain [IMPLY] good [PERIOD]
homely [AND] old-fashioned [AND] ambitious [IMPLY] inquisitive [PERIOD]
elated [IMPLY] inquisitive [PERIOD]
plain [AND] thoughtful [IMPLY] good [PERIOD]
ambitious [AND] old-fashioned [IMPLY] easy [PERIOD]
homely [IMPLY] thoughtful [PERIOD]
elated [AND] plain [IMPLY] thoughtful [PERIOD]
old-fashioned [AND] thoughtful [IMPLY] elated [PERIOD]
plain [AND] old-fashioned [AND] inquisitive [IMPLY] ambitious [PERIOD]
ambitious [AND] elated [IMPLY] homely [PERIOD]
old-fashioned [AND] elated [AND] thoughtful [IMPLY] easy [PERIOD]
easy [AND] inquisitive [IMPLY] ambitious [PERIOD]
homely [IMPLY] good [PERIOD]
good [IMPLY] inquisitive [PERIOD]
easy [IMPLY] good [PERIOD]
easy [AND] homely [IMPLY] good [PERIOD]
good [AND] ambitious [IMPLY] plain [PERIOD]
easy [AND] elated [AND] good [IMPLY] inquisitive [PERIOD]
thoughtful [AND] homely [IMPLY] inquisitive [PERIOD]
easy [AND] thoughtful [AND] old-fashioned [IMPLY] good [PERIOD]
elated [IMPLY] good [PERIOD]
good [IMPLY] thoughtful [PERIOD]
inquisitive [IMPLY] old-fashioned [PERIOD]
easy [IMPLY] inquisitive [PERIOD]
plain [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] old-fashioned [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   Cannot apply rule “homely ∧ old-fashioned ∧ ambitious ⇒ inquisitive” because missing: homely, old-fashioned, ambitious.
   Cannot apply rule “elated ⇒ inquisitive” because missing: elated.
   Cannot apply rule “good ⇒ inquisitive” because missing: good.
   Cannot apply rule “easy ∧ elated ∧ good ⇒ inquisitive” because missing: easy, elated, good.
   Cannot apply rule “thoughtful ∧ homely ⇒ inquisitive” because missing: thoughtful, homely.
   Cannot apply rule “easy ⇒ inquisitive” because missing: easy.
",0,6
"Facts:  Alice is ugliest [PERIOD]
Rules:
clean [AND] blushing [IMPLY] ugly [PERIOD]
smart [AND] ugly [AND] troubled [IMPLY] homely [PERIOD]
smart [IMPLY] sincere [PERIOD]
zealous [IMPLY] mean [PERIOD]
worried [AND] sincere [AND] ugliest [IMPLY] troubled [PERIOD]
troubled [IMPLY] homely [PERIOD]
homely [AND] tidy [IMPLY] frantic [PERIOD]
frantic [AND] troubled [IMPLY] curious [PERIOD]
homely [AND] beautiful [AND] worried [IMPLY] outrageous [PERIOD]
ugly [AND] sincere [IMPLY] zealous [PERIOD]
beautiful [IMPLY] curious [PERIOD]
lucky [AND] frantic [AND] ugly [IMPLY] curious [PERIOD]
clean [AND] homely [IMPLY] beautiful [PERIOD]
ugly [AND] smart [AND] sincere [IMPLY] sleepy [PERIOD]
curious [AND] ugliest [IMPLY] blushing [PERIOD]
tidy [IMPLY] elated [PERIOD]
ugliest [AND] smart [IMPLY] clean [PERIOD]
sincere [AND] ugliest [AND] zealous [IMPLY] blushing [PERIOD]
beautiful [AND] lucky [IMPLY] zealous [PERIOD]
homely [AND] blushing [AND] clean [IMPLY] troubled [PERIOD]
frantic [AND] sincere [IMPLY] worried [PERIOD]
troubled [IMPLY] zealous [PERIOD]
clean [AND] sincere [AND] ugliest [IMPLY] frantic [PERIOD]
tidy [IMPLY] beautiful [PERIOD]
clean [AND] tidy [AND] curious [IMPLY] beautiful [PERIOD]
lucky [IMPLY] troubled [PERIOD]
curious [AND] worried [AND] blushing [IMPLY] outrageous [PERIOD]
zealous [IMPLY] outrageous [PERIOD]
worried [IMPLY] beautiful [PERIOD]
sleepy [IMPLY] worried [PERIOD]
sincere [AND] ugly [AND] smart [IMPLY] frantic [PERIOD]
mean [AND] sincere [AND] worried [IMPLY] tidy [PERIOD]
sleepy [AND] sincere [AND] tidy [IMPLY] outrageous [PERIOD]
sleepy [IMPLY] frantic [PERIOD]
sleepy [AND] zealous [IMPLY] elated [PERIOD]
lucky [IMPLY] sincere [PERIOD]
sleepy [IMPLY] outrageous [PERIOD]
ugliest [IMPLY] smart [PERIOD]
frantic [AND] worried [AND] beautiful [IMPLY] sincere [PERIOD]
sincere [AND] clean [AND] sleepy [IMPLY] frantic [PERIOD]
ugliest [IMPLY] ugly [PERIOD]
worried [IMPLY] zealous [PERIOD]
troubled [IMPLY] ugliest [PERIOD]
homely [AND] beautiful [AND] troubled [IMPLY] sincere [PERIOD]
zealous [AND] worried [AND] homely [IMPLY] ugliest [PERIOD]
zealous [IMPLY] elated [PERIOD]
sincere [AND] elated [AND] curious [IMPLY] smart [PERIOD]
smart [AND] zealous [AND] sleepy [IMPLY] tidy [PERIOD]
elated [AND] ugliest [AND] sleepy [IMPLY] frantic [PERIOD]
curious [AND] sincere [IMPLY] ugliest [PERIOD]
mean [AND] frantic [IMPLY] sleepy [PERIOD]
beautiful [AND] worried [IMPLY] sleepy [PERIOD]
clean [IMPLY] lucky [PERIOD]
blushing [IMPLY] ugly [PERIOD]
troubled [AND] sleepy [AND] clean [IMPLY] frantic [PERIOD]
ugliest [AND] beautiful [AND] sleepy [IMPLY] zealous [PERIOD]
ugly [AND] sincere [IMPLY] worried [PERIOD]
worried [AND] sincere [IMPLY] blushing [PERIOD]
smart [AND] beautiful [AND] homely [IMPLY] sincere [PERIOD]
lucky [IMPLY] ugly [PERIOD]
mean [AND] clean [AND] zealous [IMPLY] curious [PERIOD]
sincere [AND] clean [IMPLY] curious [PERIOD]
sincere [AND] beautiful [IMPLY] lucky [PERIOD]
sincere [AND] curious [AND] mean [IMPLY] sleepy [PERIOD]
ugliest [AND] mean [IMPLY] sleepy [PERIOD]
curious [AND] zealous [IMPLY] beautiful [PERIOD]
mean [IMPLY] lucky [PERIOD]
beautiful [IMPLY] ugly [PERIOD]
tidy [IMPLY] clean [PERIOD]
ugliest [AND] frantic [AND] smart [IMPLY] elated [PERIOD]
troubled [AND] outrageous [IMPLY] beautiful [PERIOD]
sincere [AND] clean [IMPLY] beautiful [PERIOD]
blushing [AND] elated [IMPLY] lucky [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   ugliest ⇒ smart
   ugliest ∧ smart ⇒ clean
   ugliest ⇒ smart
   smart ⇒ sincere
   clean ∧ sincere ∧ ugliest ⇒ frantic
   ugliest ⇒ smart
   ugliest ∧ frantic ∧ smart ⇒ elated
",1,7
"Facts:  Alice is sincere [PERIOD] Alice is confused [PERIOD] Alice is cruel [PERIOD] Alice is hypocritical [PERIOD] Alice is naughty [PERIOD] Alice is condemned [PERIOD]
Rules:
worrisome [AND] dull [IMPLY] ambitious [PERIOD]
spotless [AND] amused [IMPLY] exuberant [PERIOD]
worrisome [AND] victorious [IMPLY] naughty [PERIOD]
inquisitive [IMPLY] tame [PERIOD]
sincere [IMPLY] amused [PERIOD]
ugliest [AND] mysterious [IMPLY] unpleasant [PERIOD]
mysterious [IMPLY] stormy [PERIOD]
tame [AND] mysterious [IMPLY] amused [PERIOD]
ambitious [AND] hypocritical [AND] amused [IMPLY] dull [PERIOD]
dull [AND] worrisome [AND] adorable [IMPLY] condemned [PERIOD]
adorable [AND] dull [AND] tame [IMPLY] nervous [PERIOD]
spotless [AND] stormy [AND] adorable [IMPLY] hypocritical [PERIOD]
spotless [IMPLY] dull [PERIOD]
mysterious [AND] victorious [AND] ambitious [IMPLY] inquisitive [PERIOD]
naughty [AND] spotless [IMPLY] thoughtful [PERIOD]
stormy [AND] exuberant [IMPLY] dull [PERIOD]
ambitious [AND] tame [AND] adorable [IMPLY] sincere [PERIOD]
inquisitive [AND] sincere [AND] condemned [IMPLY] mysterious [PERIOD]
ugliest [AND] worrisome [IMPLY] cruel [PERIOD]
thoughtful [AND] sincere [AND] ambitious [IMPLY] cruel [PERIOD]
tame [IMPLY] nervous [PERIOD]
mysterious [IMPLY] thoughtful [PERIOD]
ugliest [AND] naughty [IMPLY] confused [PERIOD]
condemned [AND] exuberant [AND] worrisome [IMPLY] unpleasant [PERIOD]
confused [AND] dull [AND] unpleasant [IMPLY] nervous [PERIOD]
amused [IMPLY] inquisitive [PERIOD]
amused [AND] condemned [IMPLY] hypocritical [PERIOD]
victorious [IMPLY] unpleasant [PERIOD]
victorious [AND] condemned [AND] confused [IMPLY] ambitious [PERIOD]
sincere [AND] cruel [IMPLY] exuberant [PERIOD]
tame [AND] inquisitive [AND] ugliest [IMPLY] sincere [PERIOD]
dull [AND] exuberant [IMPLY] worrisome [PERIOD]
adorable [IMPLY] unpleasant [PERIOD]
tame [IMPLY] inquisitive [PERIOD]
cruel [AND] amused [AND] ambitious [IMPLY] victorious [PERIOD]
sincere [AND] condemned [AND] thoughtful [IMPLY] victorious [PERIOD]
dull [IMPLY] inquisitive [PERIOD]
hypocritical [AND] stormy [IMPLY] ambitious [PERIOD]
thoughtful [AND] tame [IMPLY] victorious [PERIOD]
spotless [AND] dull [IMPLY] sincere [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   sincere ⇒ amused
   amused ⇒ inquisitive
   inquisitive ∧ sincere ∧ condemned ⇒ mysterious
   mysterious ⇒ thoughtful
",1,4
"Facts:  Alice is courageous [PERIOD]
Rules:
mean [AND] hypocritical [IMPLY] courageous [PERIOD]
mean [AND] silly [AND] hypocritical [IMPLY] courageous [PERIOD]
mean [AND] silly [AND] hypocritical [IMPLY] thoughtful [PERIOD]
thoughtful [AND] mean [AND] courageous [IMPLY] silly [PERIOD]
silly [AND] courageous [IMPLY] hypocritical [PERIOD]
mean [AND] courageous [AND] hypocritical [IMPLY] thoughtful [PERIOD]
courageous [AND] thoughtful [AND] hypocritical [IMPLY] silly [PERIOD]
courageous [AND] thoughtful [IMPLY] silly [PERIOD]
mean [IMPLY] courageous [PERIOD]
hypocritical [AND] courageous [IMPLY] thoughtful [PERIOD]
courageous [IMPLY] mean [PERIOD]
hypocritical [AND] mean [IMPLY] silly [PERIOD]
hypocritical [AND] thoughtful [AND] courageous [IMPLY] mean [PERIOD]
thoughtful [AND] mean [AND] courageous [IMPLY] hypocritical [PERIOD]
thoughtful [AND] courageous [IMPLY] hypocritical [PERIOD]
silly [AND] thoughtful [IMPLY] mean [PERIOD]
thoughtful [AND] mean [AND] silly [IMPLY] courageous [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   courageous ⇒ mean
   Cannot apply rule “thoughtful ∧ mean ∧ courageous ⇒ silly” because missing: thoughtful.
   Cannot apply rule “courageous ∧ thoughtful ∧ hypocritical ⇒ silly” because missing: thoughtful, hypocritical.
   Cannot apply rule “courageous ∧ thoughtful ⇒ silly” because missing: thoughtful.
   courageous ⇒ mean
   Cannot apply rule “hypocritical ∧ mean ⇒ silly” because missing: hypocritical.
",0,6
"Facts:  Alice is sensible [PERIOD] Alice is average [PERIOD] Alice is attractive [PERIOD] Alice is sincere [PERIOD] Alice is clumsy [PERIOD]
Rules:
tender [IMPLY] hurt [PERIOD]
precious [AND] victorious [IMPLY] attractive [PERIOD]
foolish [AND] thoughtful [IMPLY] sincere [PERIOD]
average [AND] clumsy [AND] courageous [IMPLY] thoughtful [PERIOD]
tender [IMPLY] precious [PERIOD]
elegant [AND] tender [AND] hurt [IMPLY] good [PERIOD]
good [IMPLY] precious [PERIOD]
foolish [IMPLY] victorious [PERIOD]
precious [IMPLY] good [PERIOD]
average [AND] clumsy [AND] courageous [IMPLY] hurt [PERIOD]
good [AND] victorious [AND] attractive [IMPLY] tender [PERIOD]
victorious [IMPLY] clumsy [PERIOD]
average [AND] hurt [IMPLY] elegant [PERIOD]
sensible [IMPLY] precious [PERIOD]
sincere [AND] sensible [IMPLY] courageous [PERIOD]
courageous [AND] tender [IMPLY] elegant [PERIOD]
tender [IMPLY] foolish [PERIOD]
clumsy [AND] victorious [IMPLY] attractive [PERIOD]
thoughtful [IMPLY] elegant [PERIOD]
sincere [IMPLY] attractive [PERIOD]
courageous [IMPLY] sincere [PERIOD]
hurt [IMPLY] attractive [PERIOD]
clumsy [IMPLY] sensible [PERIOD]
elegant [IMPLY] thoughtful [PERIOD]
clumsy [IMPLY] thoughtful [PERIOD]
courageous [IMPLY] clumsy [PERIOD]
foolish [IMPLY] precious [PERIOD]
average [IMPLY] clumsy [PERIOD]
clumsy [AND] average [AND] good [IMPLY] courageous [PERIOD]
courageous [AND] elegant [AND] hurt [IMPLY] precious [PERIOD]
sincere [IMPLY] hurt [PERIOD]
attractive [AND] thoughtful [IMPLY] elegant [PERIOD]
victorious [IMPLY] foolish [PERIOD]
precious [AND] good [IMPLY] clumsy [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
   sensible ⇒ precious
   precious ⇒ good
",1,2
"Facts:  Alice is outrageous [PERIOD] Alice is charming [PERIOD]
Rules:
pessimistic [IMPLY] rational [PERIOD]
hypocritical [AND] muddy [IMPLY] pessimistic [PERIOD]
weary [AND] easy [AND] messy [IMPLY] rational [PERIOD]
thoughtless [AND] helpless [AND] charming [IMPLY] fragile [PERIOD]
excited [IMPLY] tired [PERIOD]
helpless [IMPLY] thoughtless [PERIOD]
thoughtful [AND] wandering [IMPLY] outrageous [PERIOD]
good [AND] tired [AND] helpless [IMPLY] beautiful [PERIOD]
glamorous [AND] rational [IMPLY] tired [PERIOD]
confused [IMPLY] light [PERIOD]
thoughtful [AND] good [IMPLY] tender [PERIOD]
lucky [AND] thoughtless [IMPLY] fragile [PERIOD]
confused [IMPLY] tired [PERIOD]
pessimistic [AND] fragile [IMPLY] rational [PERIOD]
messy [IMPLY] weary [PERIOD]
glamorous [AND] charming [AND] tired [IMPLY] wandering [PERIOD]
glamorous [IMPLY] easy [PERIOD]
good [IMPLY] helpless [PERIOD]
tired [AND] beautiful [IMPLY] tender [PERIOD]
thoughtful [IMPLY] confused [PERIOD]
confused [IMPLY] rational [PERIOD]
fragile [IMPLY] thoughtless [PERIOD]
easy [AND] confused [AND] lucky [IMPLY] light [PERIOD]
helpless [AND] smart [AND] wandering [IMPLY] fragile [PERIOD]
wandering [AND] easy [IMPLY] tired [PERIOD]
muddy [IMPLY] beautiful [PERIOD]
tender [AND] helpless [IMPLY] light [PERIOD]
fragile [IMPLY] glamorous [PERIOD]
helpless [IMPLY] good [PERIOD]
tender [IMPLY] tired [PERIOD]
beautiful [AND] weary [AND] hypocritical [IMPLY] fragile [PERIOD]
pessimistic [IMPLY] weary [PERIOD]
beautiful [IMPLY] outrageous [PERIOD]
lucky [AND] weary [AND] thoughtful [IMPLY] helpless [PERIOD]
confused [IMPLY] glamorous [PERIOD]
good [IMPLY] outrageous [PERIOD]
thoughtless [AND] tired [AND] excited [IMPLY] tender [PERIOD]
rational [IMPLY] tired [PERIOD]
tired [IMPLY] tender [PERIOD]
confused [AND] courageous [IMPLY] weary [PERIOD]
muddy [AND] weary [IMPLY] glamorous [PERIOD]
light [AND] thoughtless [AND] glamorous [IMPLY] weary [PERIOD]
wandering [AND] thoughtless [AND] helpless [IMPLY] thoughtful [PERIOD]
outrageous [AND] good [AND] beautiful [IMPLY] hypocritical [PERIOD]
fragile [AND] thoughtful [IMPLY] confused [PERIOD]
rational [AND] lucky [AND] beautiful [IMPLY] wandering [PERIOD]
thoughtful [AND] fragile [AND] light [IMPLY] charming [PERIOD]
good [AND] rational [AND] messy [IMPLY] thoughtless [PERIOD]
wandering [AND] smart [AND] lucky [IMPLY] muddy [PERIOD]
tender [AND] tired [AND] easy [IMPLY] beautiful [PERIOD]
excited [AND] tired [IMPLY] messy [PERIOD]
glamorous [AND] charming [AND] good [IMPLY] beautiful [PERIOD]
easy [IMPLY] thoughtful [PERIOD]
hypocritical [AND] confused [IMPLY] glamorous [PERIOD]
tender [AND] outrageous [IMPLY] courageous [PERIOD]
beautiful [AND] messy [AND] courageous [IMPLY] muddy [PERIOD]
light [AND] outrageous [IMPLY] smart [PERIOD]
lucky [AND] outrageous [IMPLY] weary [PERIOD]
thoughtless [AND] light [IMPLY] muddy [PERIOD]
excited [AND] tired [AND] thoughtless [IMPLY] good [PERIOD]
lucky [AND] thoughtful [AND] tender [IMPLY] light [PERIOD]
tender [IMPLY] muddy [PERIOD]
beautiful [IMPLY] light [PERIOD]
tender [AND] good [AND] helpless [IMPLY] easy [PERIOD]
helpless [AND] courageous [IMPLY] muddy [PERIOD]
beautiful [AND] smart [AND] excited [IMPLY] easy [PERIOD]
outrageous [AND] courageous [IMPLY] weary [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   Cannot apply rule “confused ⇒ light” because missing: confused.
   Cannot apply rule “easy ∧ confused ∧ lucky ⇒ light” because missing: easy, confused, lucky.
   Cannot apply rule “tender ∧ helpless ⇒ light” because missing: tender, helpless.
   Cannot apply rule “lucky ∧ thoughtful ∧ tender ⇒ light” because missing: lucky, thoughtful, tender.
   Cannot apply rule “beautiful ⇒ light” because missing: beautiful.
",0,5
"Facts: 
Rules:
frantic [AND] average [AND] versatile [IMPLY] messy [PERIOD]
dull [AND] frantic [AND] worried [IMPLY] disgusted [PERIOD]
messy [AND] dull [AND] disgusted [IMPLY] beautiful [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   No rule concludes “frantic.”
",0,1
"Facts: 
Rules:
powerful [AND] outrageous [AND] proud [IMPLY] fragile [PERIOD]
amused [IMPLY] muddy [PERIOD]
alert [IMPLY] popular [PERIOD]
loving [IMPLY] intellectual [PERIOD]
muddy [AND] intellectual [AND] bored [IMPLY] proud [PERIOD]
alert [AND] amused [IMPLY] loving [PERIOD]
elated [AND] ugly [AND] proud [IMPLY] stupid [PERIOD]
gorgeous [AND] elated [AND] proud [IMPLY] joyous [PERIOD]
talented [AND] muddy [AND] amused [IMPLY] intellectual [PERIOD]
intellectual [AND] elated [AND] ugly [IMPLY] joyous [PERIOD]
proud [AND] elated [AND] tender [IMPLY] busy [PERIOD]
crowded [AND] gorgeous [AND] alert [IMPLY] elated [PERIOD]
tender [AND] elated [AND] gorgeous [IMPLY] popular [PERIOD]
popular [AND] proud [IMPLY] charming [PERIOD]
ugly [AND] powerful [IMPLY] enchanting [PERIOD]
tender [AND] enchanting [IMPLY] busy [PERIOD]
charming [IMPLY] joyous [PERIOD]
crowded [AND] shy [AND] silly [IMPLY] fragile [PERIOD]
shy [IMPLY] muddy [PERIOD]
elated [IMPLY] talented [PERIOD]
elated [AND] busy [AND] silly [IMPLY] loving [PERIOD]
enchanting [IMPLY] intellectual [PERIOD]
talented [AND] fragile [AND] joyous [IMPLY] bored [PERIOD]
alert [AND] stupid [AND] silly [IMPLY] joyous [PERIOD]
fragile [AND] powerful [IMPLY] gorgeous [PERIOD]
elated [IMPLY] stupid [PERIOD]
popular [AND] fine [AND] muddy [IMPLY] tender [PERIOD]
silly [AND] busy [IMPLY] precious [PERIOD]
amused [AND] charming [AND] precious [IMPLY] powerful [PERIOD]
bored [AND] elated [AND] amused [IMPLY] fine [PERIOD]
fine [AND] gorgeous [IMPLY] stupid [PERIOD]
famous [IMPLY] shy [PERIOD]
precious [IMPLY] muddy [PERIOD]
silly [AND] loving [IMPLY] alert [PERIOD]
joyous [AND] precious [IMPLY] gorgeous [PERIOD]
fine [AND] stupid [AND] charming [IMPLY] powerful [PERIOD]
precious [AND] talented [IMPLY] busy [PERIOD]
precious [AND] charming [AND] stupid [IMPLY] muddy [PERIOD]
fine [IMPLY] famous [PERIOD]
muddy [IMPLY] powerful [PERIOD]
enchanting [IMPLY] popular [PERIOD]
powerful [IMPLY] fine [PERIOD]
crowded [AND] talented [AND] elated [IMPLY] alert [PERIOD]
enchanting [AND] alert [AND] proud [IMPLY] crowded [PERIOD]
stupid [AND] joyous [IMPLY] outrageous [PERIOD]
popular [AND] powerful [IMPLY] outrageous [PERIOD]
amused [AND] elated [AND] powerful [IMPLY] fine [PERIOD]
ugly [IMPLY] fine [PERIOD]
amused [AND] silly [IMPLY] intellectual [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   Cannot apply rule “amused ⇒ muddy” because missing: amused.
   Cannot apply rule “shy ⇒ muddy” because missing: shy.
   Cannot apply rule “precious ⇒ muddy” because missing: precious.
   Cannot apply rule “precious ∧ charming ∧ stupid ⇒ muddy” because missing: precious, charming, stupid.
",0,4
"Facts:  Alice is cruel [PERIOD] Alice is tidy [PERIOD] Alice is frightened [PERIOD]
Rules:
outstanding [AND] alert [IMPLY] condemned [PERIOD]
precious [AND] sleepy [AND] outstanding [IMPLY] wandering [PERIOD]
worrisome [AND] silly [AND] outstanding [IMPLY] tidy [PERIOD]
gorgeous [IMPLY] frightened [PERIOD]
worrisome [IMPLY] broad-minded [PERIOD]
outstanding [AND] tame [IMPLY] worrisome [PERIOD]
cruel [IMPLY] rude [PERIOD]
pessimistic [AND] alert [AND] rude [IMPLY] outstanding [PERIOD]
sleepy [IMPLY] supportive [PERIOD]
alert [IMPLY] impartial [PERIOD]
outstanding [AND] silly [IMPLY] broad-minded [PERIOD]
outstanding [AND] frightened [IMPLY] tidy [PERIOD]
broad-minded [AND] easy [IMPLY] tidy [PERIOD]
silly [AND] supportive [IMPLY] condemned [PERIOD]
confused [AND] tidy [IMPLY] gorgeous [PERIOD]
frightened [IMPLY] confused [PERIOD]
confused [AND] condemned [AND] sleepy [IMPLY] impartial [PERIOD]
broad-minded [AND] worrisome [IMPLY] wandering [PERIOD]
gorgeous [IMPLY] outstanding [PERIOD]
worrisome [AND] precious [AND] confused [IMPLY] outstanding [PERIOD]
frightened [AND] sleepy [IMPLY] condemned [PERIOD]
broad-minded [AND] confused [IMPLY] tame [PERIOD]
wandering [IMPLY] impartial [PERIOD]
sleepy [AND] easy [AND] confused [IMPLY] alert [PERIOD]
tame [AND] gorgeous [IMPLY] tidy [PERIOD]
frightened [AND] silly [IMPLY] pessimistic [PERIOD]
frightened [AND] sleepy [IMPLY] confused [PERIOD]
frightened [AND] cruel [IMPLY] condemned [PERIOD]
broad-minded [AND] wandering [IMPLY] sleepy [PERIOD]
worrisome [AND] gorgeous [IMPLY] outstanding [PERIOD]
worrisome [AND] precious [IMPLY] cruel [PERIOD]
rude [AND] alert [IMPLY] confused [PERIOD]
gorgeous [AND] outstanding [IMPLY] cruel [PERIOD]
silly [AND] impartial [IMPLY] broad-minded [PERIOD]
cruel [AND] frightened [IMPLY] tame [PERIOD]
tidy [AND] supportive [IMPLY] gorgeous [PERIOD]
pessimistic [AND] wandering [IMPLY] condemned [PERIOD]
condemned [AND] gorgeous [IMPLY] alert [PERIOD]
impartial [IMPLY] frightened [PERIOD]
alert [IMPLY] silly [PERIOD]
easy [AND] impartial [IMPLY] condemned [PERIOD]
tame [IMPLY] frightened [PERIOD]
broad-minded [IMPLY] worrisome [PERIOD]
condemned [AND] alert [IMPLY] sleepy [PERIOD]
supportive [AND] pessimistic [IMPLY] frightened [PERIOD]
alert [AND] frightened [AND] tame [IMPLY] condemned [PERIOD]
confused [AND] impartial [IMPLY] silly [PERIOD]
pessimistic [AND] cruel [IMPLY] condemned [PERIOD]
silly [AND] confused [AND] condemned [IMPLY] tidy [PERIOD]
tidy [AND] precious [IMPLY] broad-minded [PERIOD]
broad-minded [AND] impartial [AND] silly [IMPLY] sleepy [PERIOD]
tame [AND] worrisome [AND] wandering [IMPLY] impartial [PERIOD]
sleepy [IMPLY] precious [PERIOD]
sleepy [AND] confused [AND] silly [IMPLY] cruel [PERIOD]
gorgeous [AND] tidy [AND] impartial [IMPLY] supportive [PERIOD]
outstanding [AND] cruel [AND] silly [IMPLY] confused [PERIOD]
alert [IMPLY] rude [PERIOD]
outstanding [AND] tame [AND] silly [IMPLY] tidy [PERIOD]
rude [AND] tame [IMPLY] impartial [PERIOD]
tidy [AND] condemned [AND] impartial [IMPLY] alert [PERIOD]
worrisome [AND] rude [IMPLY] precious [PERIOD]
cruel [AND] outstanding [IMPLY] impartial [PERIOD]
rude [IMPLY] frightened [PERIOD]
outstanding [IMPLY] supportive [PERIOD]
wandering [AND] tidy [IMPLY] easy [PERIOD]
sleepy [IMPLY] broad-minded [PERIOD]
frightened [AND] silly [IMPLY] rude [PERIOD]
alert [AND] tame [AND] wandering [IMPLY] condemned [PERIOD]
silly [AND] supportive [AND] pessimistic [IMPLY] alert [PERIOD]
worrisome [AND] pessimistic [IMPLY] alert [PERIOD]
confused [AND] sleepy [IMPLY] rude [PERIOD]
sleepy [AND] tame [IMPLY] tidy [PERIOD]
impartial [AND] tame [IMPLY] alert [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
   frightened ∧ cruel ⇒ condemned
   frightened ∧ cruel ⇒ condemned
   frightened ⇒ confused
   confused ∧ tidy ⇒ gorgeous
   condemned ∧ gorgeous ⇒ alert
   condemned ∧ alert ⇒ sleepy
   sleepy ⇒ precious
",1,7
"Facts:  Alice is fancy [PERIOD] Alice is embarrassed [PERIOD] Alice is hypocritical [PERIOD] Alice is wrong [PERIOD] Alice is disgusted [PERIOD]
Rules:
disobedient [AND] worried [IMPLY] perfect [PERIOD]
sincere [AND] wandering [AND] nervous [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] fancy [PERIOD]
fancy [AND] talkative [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] nervous [PERIOD]
stormy [AND] wandering [IMPLY] hypocritical [PERIOD]
stormy [AND] hilarious [AND] shy [IMPLY] tame [PERIOD]
stormy [AND] wrong [AND] horrible [IMPLY] shy [PERIOD]
wide-eyed [AND] disobedient [IMPLY] agreeable [PERIOD]
disobedient [AND] wide-eyed [IMPLY] wrong [PERIOD]
shy [AND] exuberant [IMPLY] tame [PERIOD]
agreeable [AND] perfect [IMPLY] stormy [PERIOD]
horrible [IMPLY] exuberant [PERIOD]
fancy [AND] embarrassed [IMPLY] sincere [PERIOD]
stormy [AND] nervous [IMPLY] talkative [PERIOD]
embarrassed [AND] agreeable [AND] perfect [IMPLY] fancy [PERIOD]
wrong [IMPLY] tame [PERIOD]
hilarious [AND] disobedient [AND] embarrassed [IMPLY] wrong [PERIOD]
worried [IMPLY] hypocritical [PERIOD]
hypocritical [AND] worried [AND] talkative [IMPLY] shy [PERIOD]
horrible [AND] exuberant [AND] tame [IMPLY] wrong [PERIOD]
horrible [IMPLY] disobedient [PERIOD]
wide-eyed [AND] stormy [AND] fancy [IMPLY] disgusted [PERIOD]
fancy [AND] nervous [AND] worried [IMPLY] shy [PERIOD]
wrong [AND] worried [IMPLY] hilarious [PERIOD]
wandering [AND] hypocritical [IMPLY] embarrassed [PERIOD]
talkative [IMPLY] stormy [PERIOD]
nervous [AND] exuberant [IMPLY] hilarious [PERIOD]
disobedient [AND] fancy [IMPLY] shy [PERIOD]
fancy [AND] hilarious [AND] wide-eyed [IMPLY] disgusted [PERIOD]
sincere [AND] talkative [IMPLY] disobedient [PERIOD]
perfect [IMPLY] disobedient [PERIOD]
embarrassed [IMPLY] sincere [PERIOD]
sincere [AND] exuberant [IMPLY] hypocritical [PERIOD]
fancy [AND] sincere [IMPLY] wandering [PERIOD]
talkative [AND] nervous [IMPLY] wrong [PERIOD]
hilarious [AND] worried [IMPLY] exuberant [PERIOD]
wide-eyed [IMPLY] sincere [PERIOD]
disobedient [AND] hypocritical [IMPLY] fancy [PERIOD]
sincere [AND] tame [AND] agreeable [IMPLY] nervous [PERIOD]
hypocritical [AND] perfect [AND] wandering [IMPLY] wide-eyed [PERIOD]
fancy [IMPLY] disgusted [PERIOD]
fancy [AND] tame [AND] wrong [IMPLY] sincere [PERIOD]
disobedient [AND] exuberant [AND] shy [IMPLY] embarrassed [PERIOD]
hilarious [AND] hypocritical [AND] worried [IMPLY] stormy [PERIOD]
wrong [IMPLY] hilarious [PERIOD]
disobedient [IMPLY] worried [PERIOD]
perfect [AND] hilarious [IMPLY] shy [PERIOD]
sincere [AND] nervous [AND] hilarious [IMPLY] tame [PERIOD]
agreeable [IMPLY] fancy [PERIOD]
hilarious [IMPLY] wrong [PERIOD]
embarrassed [AND] fancy [AND] agreeable [IMPLY] disobedient [PERIOD]
embarrassed [AND] disobedient [IMPLY] nervous [PERIOD]
stormy [AND] horrible [IMPLY] wide-eyed [PERIOD]
perfect [AND] disobedient [IMPLY] worried [PERIOD]
embarrassed [AND] hypocritical [IMPLY] worried [PERIOD]
wide-eyed [AND] nervous [IMPLY] perfect [PERIOD]
wandering [AND] shy [IMPLY] talkative [PERIOD]
wide-eyed [AND] shy [AND] stormy [IMPLY] perfect [PERIOD]
stormy [AND] horrible [IMPLY] nervous [PERIOD]
perfect [AND] fancy [AND] wandering [IMPLY] worried [PERIOD]
hypocritical [IMPLY] wandering [PERIOD]
hypocritical [AND] disgusted [IMPLY] wrong [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   embarrassed ⇒ sincere
   hypocritical ⇒ wandering
   hypocritical ⇒ nervous
   sincere ∧ wandering ∧ nervous ⇒ wide-eyed
   hypocritical ⇒ nervous
   wide-eyed ∧ nervous ⇒ perfect
   perfect ⇒ disobedient
",1,7
"Facts: 
Rules:
wrong [AND] loving [IMPLY] courageous [PERIOD]
helpless [IMPLY] distinct [PERIOD]
pleasant [AND] loving [AND] dull [IMPLY] thoughtful [PERIOD]
aggressive [AND] distinct [IMPLY] pleasant [PERIOD]
wrong [AND] aggressive [IMPLY] helpless [PERIOD]
old-fashioned [AND] courageous [IMPLY] wrong [PERIOD]
courageous [AND] loving [IMPLY] distinct [PERIOD]
helpless [AND] naughty [IMPLY] hilarious [PERIOD]
helpless [IMPLY] old-fashioned [PERIOD]
naughty [AND] outrageous [AND] hilarious [IMPLY] wrong [PERIOD]
hilarious [AND] dull [IMPLY] old-fashioned [PERIOD]
naughty [AND] outrageous [AND] aggressive [IMPLY] distinct [PERIOD]
aggressive [AND] thoughtless [AND] loving [IMPLY] average [PERIOD]
loving [AND] wrong [AND] average [IMPLY] pleasant [PERIOD]
dull [AND] thoughtless [IMPLY] loving [PERIOD]
courageous [IMPLY] pleasant [PERIOD]
thoughtful [AND] aggressive [IMPLY] wrong [PERIOD]
average [AND] courageous [AND] dull [IMPLY] naughty [PERIOD]
dull [IMPLY] outrageous [PERIOD]
aggressive [AND] naughty [AND] pleasant [IMPLY] outrageous [PERIOD]
average [AND] thoughtful [AND] distinct [IMPLY] thoughtless [PERIOD]
old-fashioned [AND] outrageous [AND] distinct [IMPLY] thoughtful [PERIOD]
distinct [AND] old-fashioned [IMPLY] loving [PERIOD]
thoughtful [AND] naughty [IMPLY] thoughtless [PERIOD]
thoughtless [AND] helpless [IMPLY] average [PERIOD]
thoughtful [IMPLY] distinct [PERIOD]
distinct [AND] pleasant [AND] aggressive [IMPLY] helpless [PERIOD]
thoughtless [IMPLY] hilarious [PERIOD]
helpless [AND] loving [IMPLY] hilarious [PERIOD]
thoughtful [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] pleasant [IMPLY] helpless [PERIOD]
naughty [AND] helpless [AND] thoughtful [IMPLY] old-fashioned [PERIOD]
naughty [IMPLY] courageous [PERIOD]
average [AND] pleasant [AND] hilarious [IMPLY] distinct [PERIOD]
naughty [AND] helpless [AND] aggressive [IMPLY] thoughtful [PERIOD]
hilarious [AND] old-fashioned [AND] thoughtless [IMPLY] distinct [PERIOD]
naughty [AND] old-fashioned [AND] dull [IMPLY] distinct [PERIOD]
loving [IMPLY] helpless [PERIOD]
average [AND] dull [AND] thoughtless [IMPLY] outrageous [PERIOD]
naughty [IMPLY] loving [PERIOD]
aggressive [AND] thoughtful [AND] old-fashioned [IMPLY] pleasant [PERIOD]
hilarious [AND] loving [AND] dull [IMPLY] thoughtless [PERIOD]
old-fashioned [AND] courageous [AND] hilarious [IMPLY] wrong [PERIOD]
thoughtful [AND] pleasant [IMPLY] courageous [PERIOD]
dull [IMPLY] naughty [PERIOD]
outrageous [AND] old-fashioned [AND] average [IMPLY] wrong [PERIOD]
helpless [AND] loving [AND] courageous [IMPLY] wrong [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   Cannot apply rule “helpless ∧ naughty ⇒ hilarious” because missing: helpless, naughty.
   Cannot apply rule “thoughtless ⇒ hilarious” because missing: thoughtless.
   Cannot apply rule “helpless ∧ loving ⇒ hilarious” because missing: helpless, loving.
",0,3
"Facts:  Alice is cute [PERIOD] Alice is hilarious [PERIOD] Alice is condemned [PERIOD] Alice is ugly [PERIOD]
Rules:
condemned [AND] vivacious [AND] stormy [IMPLY] popular [PERIOD]
popular [AND] impatient [IMPLY] condemned [PERIOD]
crowded [AND] bright [AND] popular [IMPLY] hilarious [PERIOD]
bright [AND] stormy [IMPLY] tense [PERIOD]
frightened [AND] talkative [IMPLY] elegant [PERIOD]
vivacious [IMPLY] condemned [PERIOD]
inquisitive [IMPLY] elegant [PERIOD]
crowded [AND] talkative [AND] bright [IMPLY] ugly [PERIOD]
witty [AND] cute [IMPLY] clean [PERIOD]
frightened [AND] aggressive [AND] elegant [IMPLY] tense [PERIOD]
crowded [IMPLY] clean [PERIOD]
disobedient [IMPLY] impatient [PERIOD]
clean [IMPLY] hilarious [PERIOD]
impatient [IMPLY] inquisitive [PERIOD]
talkative [AND] elegant [IMPLY] hilarious [PERIOD]
popular [AND] elegant [IMPLY] bright [PERIOD]
aggressive [AND] witty [IMPLY] crowded [PERIOD]
popular [IMPLY] bright [PERIOD]
inquisitive [IMPLY] clean [PERIOD]
bright [AND] tense [IMPLY] disobedient [PERIOD]
talkative [AND] vivacious [AND] cute [IMPLY] hilarious [PERIOD]
ugly [AND] stormy [AND] aggressive [IMPLY] vivacious [PERIOD]
witty [IMPLY] bright [PERIOD]
aggressive [AND] stormy [IMPLY] ugly [PERIOD]
crowded [AND] clean [AND] stormy [IMPLY] witty [PERIOD]
vivacious [AND] aggressive [IMPLY] impatient [PERIOD]
vivacious [AND] frightened [IMPLY] talkative [PERIOD]
vivacious [AND] condemned [AND] elegant [IMPLY] stormy [PERIOD]
witty [AND] frightened [IMPLY] condemned [PERIOD]
stormy [IMPLY] cute [PERIOD]
witty [AND] clean [IMPLY] hilarious [PERIOD]
clean [AND] ugly [AND] inquisitive [IMPLY] frightened [PERIOD]
cute [IMPLY] crowded [PERIOD]
frightened [AND] talkative [IMPLY] cute [PERIOD]
cute [IMPLY] hilarious [PERIOD]
frightened [AND] vivacious [IMPLY] clean [PERIOD]
aggressive [AND] crowded [AND] clean [IMPLY] cute [PERIOD]
elegant [IMPLY] tense [PERIOD]
vivacious [IMPLY] popular [PERIOD]
disobedient [IMPLY] cute [PERIOD]
stormy [IMPLY] popular [PERIOD]
crowded [AND] stormy [AND] tense [IMPLY] inquisitive [PERIOD]
bright [IMPLY] tense [PERIOD]
talkative [AND] cute [AND] ugly [IMPLY] witty [PERIOD]
bright [IMPLY] disobedient [PERIOD]
hilarious [IMPLY] bright [PERIOD]
popular [AND] elegant [IMPLY] talkative [PERIOD]
bright [AND] elegant [AND] tense [IMPLY] inquisitive [PERIOD]
elegant [IMPLY] talkative [PERIOD]
condemned [AND] disobedient [AND] crowded [IMPLY] witty [PERIOD]
inquisitive [AND] popular [IMPLY] vivacious [PERIOD]
frightened [AND] hilarious [AND] stormy [IMPLY] cute [PERIOD]
elegant [IMPLY] bright [PERIOD]
clean [AND] popular [AND] impatient [IMPLY] disobedient [PERIOD]
bright [AND] ugly [AND] witty [IMPLY] disobedient [PERIOD]
inquisitive [AND] impatient [IMPLY] clean [PERIOD]
crowded [IMPLY] witty [PERIOD]
popular [AND] cute [AND] vivacious [IMPLY] disobedient [PERIOD]
tense [AND] inquisitive [AND] condemned [IMPLY] elegant [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   hilarious ⇒ bright
   bright ⇒ disobedient
   disobedient ⇒ impatient
",1,3
"Facts:  Alice is distinct [PERIOD] Alice is strange [PERIOD] Alice is pessimistic [PERIOD] Alice is zealous [PERIOD] Alice is disgusted [PERIOD] Alice is sleepy [PERIOD] Alice is grumpy [PERIOD] Alice is smart [PERIOD] Alice is silly [PERIOD] Alice is frail [PERIOD] Alice is tender [PERIOD] Alice is worrisome [PERIOD] Alice is fancy [PERIOD] Alice is average [PERIOD] Alice is good [PERIOD]
Rules:
attractive [AND] worrisome [IMPLY] nervous [PERIOD]
good [AND] average [AND] joyous [IMPLY] quaint [PERIOD]
strange [IMPLY] embarrassed [PERIOD]
anxious [AND] fancy [IMPLY] tender [PERIOD]
nervous [AND] joyous [IMPLY] clumsy [PERIOD]
distinct [AND] clumsy [IMPLY] enchanting [PERIOD]
different [AND] disgusted [AND] average [IMPLY] worrisome [PERIOD]
wide-eyed [IMPLY] tired [PERIOD]
average [AND] frail [AND] nervous [IMPLY] tender [PERIOD]
unpleasant [AND] fancy [IMPLY] attractive [PERIOD]
plain [IMPLY] wide-eyed [PERIOD]
distinct [IMPLY] silly [PERIOD]
strange [AND] pessimistic [AND] plain [IMPLY] smart [PERIOD]
anxious [AND] embarrassed [AND] enchanting [IMPLY] worrisome [PERIOD]
unpleasant [IMPLY] smart [PERIOD]
frail [IMPLY] tender [PERIOD]
disgusted [AND] different [AND] fancy [IMPLY] clumsy [PERIOD]
disgusted [IMPLY] famous [PERIOD]
wide-eyed [AND] impatient [AND] anxious [IMPLY] quaint [PERIOD]
tender [IMPLY] frail [PERIOD]
strange [AND] impatient [IMPLY] disgusted [PERIOD]
tired [AND] fancy [AND] tender [IMPLY] attractive [PERIOD]
worrisome [AND] good [AND] average [IMPLY] grumpy [PERIOD]
disgusted [AND] wide-eyed [AND] fancy [IMPLY] strange [PERIOD]
wide-eyed [IMPLY] frail [PERIOD]
fancy [AND] sleepy [AND] famous [IMPLY] distinct [PERIOD]
grumpy [AND] anxious [IMPLY] frail [PERIOD]
fancy [AND] good [IMPLY] plain [PERIOD]
smart [IMPLY] zealous [PERIOD]
disgusted [AND] quaint [AND] good [IMPLY] plain [PERIOD]
different [AND] frail [AND] tender [IMPLY] famous [PERIOD]
impatient [AND] clumsy [IMPLY] sleepy [PERIOD]
different [AND] wide-eyed [AND] plain [IMPLY] anxious [PERIOD]
attractive [AND] enchanting [IMPLY] grumpy [PERIOD]
different [AND] embarrassed [IMPLY] enchanting [PERIOD]
attractive [AND] grumpy [IMPLY] tender [PERIOD]
good [IMPLY] plain [PERIOD]
tired [AND] nervous [IMPLY] famous [PERIOD]
tender [AND] tired [IMPLY] different [PERIOD]
embarrassed [AND] wide-eyed [AND] unpleasant [IMPLY] distinct [PERIOD]
pessimistic [IMPLY] distinct [PERIOD]
anxious [AND] impatient [AND] sleepy [IMPLY] nervous [PERIOD]
grumpy [AND] enchanting [AND] distinct [IMPLY] frail [PERIOD]
smart [AND] joyous [IMPLY] pessimistic [PERIOD]
wide-eyed [AND] joyous [AND] fancy [IMPLY] pessimistic [PERIOD]
joyous [AND] sleepy [AND] distinct [IMPLY] famous [PERIOD]
worrisome [AND] zealous [AND] tired [IMPLY] silly [PERIOD]
clumsy [IMPLY] impatient [PERIOD]
enchanting [IMPLY] plain [PERIOD]
zealous [IMPLY] wide-eyed [PERIOD]
attractive [IMPLY] average [PERIOD]
quaint [AND] distinct [IMPLY] pessimistic [PERIOD]
famous [AND] enchanting [IMPLY] tender [PERIOD]
plain [IMPLY] strange [PERIOD]
enchanting [AND] frail [IMPLY] distinct [PERIOD]
tired [AND] embarrassed [AND] fancy [IMPLY] clumsy [PERIOD]
strange [AND] silly [IMPLY] good [PERIOD]
anxious [AND] sleepy [IMPLY] distinct [PERIOD]
impatient [IMPLY] worrisome [PERIOD]
famous [AND] strange [AND] distinct [IMPLY] enchanting [PERIOD]
famous [AND] sleepy [IMPLY] unpleasant [PERIOD]
silly [AND] different [IMPLY] plain [PERIOD]
attractive [IMPLY] good [PERIOD]
joyous [AND] silly [IMPLY] average [PERIOD]
impatient [AND] strange [IMPLY] zealous [PERIOD]
pessimistic [IMPLY] fancy [PERIOD]
wide-eyed [AND] sleepy [AND] joyous [IMPLY] clumsy [PERIOD]
sleepy [AND] smart [AND] plain [IMPLY] embarrassed [PERIOD]
smart [AND] silly [AND] pessimistic [IMPLY] impatient [PERIOD]
worrisome [AND] average [AND] zealous [IMPLY] pessimistic [PERIOD]
clumsy [AND] fancy [IMPLY] frail [PERIOD]
wide-eyed [AND] impatient [IMPLY] grumpy [PERIOD]
tired [AND] plain [AND] worrisome [IMPLY] famous [PERIOD]
attractive [AND] sleepy [AND] different [IMPLY] plain [PERIOD]
famous [AND] tired [IMPLY] nervous [PERIOD]
strange [AND] tender [AND] wide-eyed [IMPLY] pessimistic [PERIOD]
unpleasant [AND] wide-eyed [AND] famous [IMPLY] worrisome [PERIOD]
disgusted [AND] famous [IMPLY] unpleasant [PERIOD]
sleepy [AND] clumsy [AND] enchanting [IMPLY] disgusted [PERIOD]
famous [IMPLY] impatient [PERIOD]
worrisome [AND] anxious [IMPLY] different [PERIOD]
strange [AND] pessimistic [IMPLY] sleepy [PERIOD]
impatient [AND] clumsy [IMPLY] frail [PERIOD]
distinct [IMPLY] average [PERIOD]
plain [AND] unpleasant [IMPLY] clumsy [PERIOD]
quaint [AND] clumsy [IMPLY] strange [PERIOD]
smart [AND] joyous [AND] nervous [IMPLY] disgusted [PERIOD]
average [IMPLY] good [PERIOD]
tender [IMPLY] impatient [PERIOD]
enchanting [IMPLY] wide-eyed [PERIOD]
enchanting [IMPLY] embarrassed [PERIOD]
tired [IMPLY] distinct [PERIOD]
plain [IMPLY] fancy [PERIOD]
nervous [IMPLY] joyous [PERIOD]
quaint [AND] distinct [IMPLY] zealous [PERIOD]
strange [AND] different [IMPLY] grumpy [PERIOD]
attractive [AND] strange [AND] anxious [IMPLY] disgusted [PERIOD]
pessimistic [AND] sleepy [IMPLY] disgusted [PERIOD]
attractive [AND] sleepy [AND] famous [IMPLY] pessimistic [PERIOD]
tired [AND] impatient [IMPLY] joyous [PERIOD]
wide-eyed [AND] fancy [AND] zealous [IMPLY] average [PERIOD]
grumpy [IMPLY] zealous [PERIOD]
anxious [AND] silly [IMPLY] different [PERIOD]
frail [AND] enchanting [AND] famous [IMPLY] strange [PERIOD]
tired [AND] sleepy [IMPLY] embarrassed [PERIOD]
tired [AND] good [AND] disgusted [IMPLY] clumsy [PERIOD]
fancy [IMPLY] disgusted [PERIOD]
strange [AND] tender [IMPLY] anxious [PERIOD]
famous [AND] disgusted [IMPLY] grumpy [PERIOD]
clumsy [AND] wide-eyed [IMPLY] tender [PERIOD]
attractive [IMPLY] tender [PERIOD]
average [AND] strange [IMPLY] tender [PERIOD]
joyous [AND] clumsy [AND] unpleasant [IMPLY] quaint [PERIOD]
strange [IMPLY] tired [PERIOD]
anxious [AND] worrisome [AND] tender [IMPLY] disgusted [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   strange ∧ tender ⇒ anxious
   smart ∧ silly ∧ pessimistic ⇒ impatient
   anxious ∧ impatient ∧ sleepy ⇒ nervous
",1,3
"Facts:  Alice is busy [PERIOD] Alice is good [PERIOD] Alice is elegant [PERIOD] Alice is tense [PERIOD] Alice is hypocritical [PERIOD] Alice is tame [PERIOD] Alice is foolish [PERIOD] Alice is inexpensive [PERIOD] Alice is inquisitive [PERIOD] Alice is ugliest [PERIOD]
Rules:
alert [AND] straightforward [IMPLY] tense [PERIOD]
tame [AND] tense [IMPLY] hypocritical [PERIOD]
tame [AND] stubborn [AND] elegant [IMPLY] alert [PERIOD]
busy [AND] elegant [AND] ugliest [IMPLY] grumpy [PERIOD]
mean [AND] anxious [AND] tense [IMPLY] tame [PERIOD]
silly [IMPLY] straightforward [PERIOD]
tense [AND] silly [AND] good [IMPLY] elated [PERIOD]
ugliest [AND] inquisitive [IMPLY] tender [PERIOD]
anxious [IMPLY] ugliest [PERIOD]
ugliest [AND] anxious [AND] busy [IMPLY] frantic [PERIOD]
hypocritical [AND] foolish [AND] tense [IMPLY] tame [PERIOD]
alert [AND] messy [IMPLY] anxious [PERIOD]
stubborn [IMPLY] mean [PERIOD]
stubborn [AND] tender [IMPLY] inquisitive [PERIOD]
stubborn [AND] alert [IMPLY] mean [PERIOD]
straightforward [AND] alert [AND] tame [IMPLY] silly [PERIOD]
good [AND] hypocritical [AND] foolish [IMPLY] tender [PERIOD]
alert [IMPLY] inexpensive [PERIOD]
frantic [AND] elegant [IMPLY] alert [PERIOD]
good [IMPLY] ugliest [PERIOD]
inquisitive [IMPLY] mean [PERIOD]
tame [AND] anxious [IMPLY] hypocritical [PERIOD]
busy [AND] good [AND] tender [IMPLY] hypocritical [PERIOD]
busy [AND] good [IMPLY] anxious [PERIOD]
wandering [AND] frantic [AND] mean [IMPLY] anxious [PERIOD]
busy [AND] wandering [AND] good [IMPLY] alert [PERIOD]
tame [AND] stubborn [AND] grumpy [IMPLY] straightforward [PERIOD]
good [IMPLY] elated [PERIOD]
mean [IMPLY] busy [PERIOD]
tense [IMPLY] foolish [PERIOD]
wandering [AND] alert [AND] messy [IMPLY] busy [PERIOD]
inquisitive [AND] good [IMPLY] mean [PERIOD]
inexpensive [AND] elegant [IMPLY] tame [PERIOD]
anxious [AND] stubborn [AND] inquisitive [IMPLY] messy [PERIOD]
hypocritical [AND] tame [IMPLY] good [PERIOD]
elated [AND] good [AND] anxious [IMPLY] hypocritical [PERIOD]
tame [AND] good [AND] tender [IMPLY] silly [PERIOD]
stubborn [AND] hypocritical [AND] straightforward [IMPLY] anxious [PERIOD]
anxious [AND] good [AND] straightforward [IMPLY] elated [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   good ∧ hypocritical ∧ foolish ⇒ tender
   tame ∧ good ∧ tender ⇒ silly
   silly ⇒ straightforward
",1,3
"Facts:  Alice is uptight [PERIOD] Alice is wandering [PERIOD] Alice is enchanting [PERIOD]
Rules:
joyous [IMPLY] diplomatic [PERIOD]
bad-tempered [AND] beautiful [IMPLY] diplomatic [PERIOD]
impartial [IMPLY] famous [PERIOD]
uptight [AND] tired [AND] quaint [IMPLY] clumsy [PERIOD]
straightforward [AND] bad-tempered [IMPLY] modern [PERIOD]
beautiful [AND] reserved [IMPLY] glamorous [PERIOD]
clumsy [IMPLY] attractive [PERIOD]
tired [IMPLY] blushing [PERIOD]
beautiful [IMPLY] bad-tempered [PERIOD]
tired [AND] blushing [AND] tender [IMPLY] glamorous [PERIOD]
fragile [IMPLY] tired [PERIOD]
clumsy [IMPLY] beautiful [PERIOD]
grumpy [IMPLY] plain [PERIOD]
plain [IMPLY] popular [PERIOD]
intellectual [AND] grumpy [AND] tame [IMPLY] tender [PERIOD]
intellectual [AND] clumsy [IMPLY] attractive [PERIOD]
plain [AND] beautiful [AND] friendly [IMPLY] intellectual [PERIOD]
straightforward [IMPLY] friendly [PERIOD]
tame [IMPLY] friendly [PERIOD]
easy [IMPLY] uptight [PERIOD]
tired [AND] straightforward [IMPLY] plain [PERIOD]
famous [AND] easy [IMPLY] bad-tempered [PERIOD]
grumpy [AND] joyous [IMPLY] uptight [PERIOD]
modern [IMPLY] blushing [PERIOD]
tired [AND] uptight [IMPLY] easy [PERIOD]
easy [IMPLY] impartial [PERIOD]
attractive [IMPLY] reserved [PERIOD]
bad-tempered [IMPLY] attractive [PERIOD]
tender [IMPLY] impartial [PERIOD]
bad-tempered [AND] glamorous [IMPLY] grumpy [PERIOD]
intellectual [AND] impartial [IMPLY] glamorous [PERIOD]
impartial [AND] attractive [IMPLY] clumsy [PERIOD]
tame [AND] diplomatic [AND] beautiful [IMPLY] quaint [PERIOD]
plain [IMPLY] modern [PERIOD]
glamorous [AND] enchanting [IMPLY] modern [PERIOD]
attractive [IMPLY] uptight [PERIOD]
diplomatic [AND] intellectual [IMPLY] easy [PERIOD]
popular [IMPLY] beautiful [PERIOD]
quaint [AND] grumpy [IMPLY] popular [PERIOD]
impartial [AND] plain [IMPLY] uptight [PERIOD]
impartial [AND] diplomatic [IMPLY] tender [PERIOD]
reserved [IMPLY] joyous [PERIOD]
tender [AND] joyous [AND] impartial [IMPLY] tired [PERIOD]
glamorous [IMPLY] uptight [PERIOD]
blushing [AND] friendly [IMPLY] reserved [PERIOD]
straightforward [AND] intellectual [AND] blushing [IMPLY] enchanting [PERIOD]
reserved [AND] attractive [IMPLY] plain [PERIOD]
easy [AND] beautiful [IMPLY] tender [PERIOD]
popular [AND] straightforward [IMPLY] modern [PERIOD]
attractive [AND] quaint [IMPLY] uptight [PERIOD]
bad-tempered [AND] reserved [AND] tame [IMPLY] tired [PERIOD]
quaint [AND] tame [AND] wandering [IMPLY] friendly [PERIOD]
grumpy [IMPLY] fragile [PERIOD]
grumpy [AND] intellectual [AND] modern [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] joyous [PERIOD]
intellectual [AND] blushing [IMPLY] impartial [PERIOD]
straightforward [AND] wandering [IMPLY] easy [PERIOD]
attractive [AND] easy [AND] uptight [IMPLY] straightforward [PERIOD]
blushing [IMPLY] impartial [PERIOD]
reserved [AND] tame [IMPLY] wandering [PERIOD]
tame [IMPLY] straightforward [PERIOD]
popular [AND] uptight [IMPLY] tired [PERIOD]
clumsy [IMPLY] friendly [PERIOD]
diplomatic [IMPLY] uptight [PERIOD]
joyous [AND] wandering [IMPLY] intellectual [PERIOD]
lucky [AND] beautiful [AND] easy [IMPLY] wandering [PERIOD]
clumsy [AND] lucky [IMPLY] blushing [PERIOD]
uptight [AND] popular [IMPLY] wandering [PERIOD]
reserved [IMPLY] tired [PERIOD]
reserved [AND] popular [IMPLY] lucky [PERIOD]
quaint [AND] tender [AND] clumsy [IMPLY] diplomatic [PERIOD]
wandering [AND] famous [IMPLY] attractive [PERIOD]
wandering [AND] joyous [IMPLY] clumsy [PERIOD]
joyous [IMPLY] reserved [PERIOD]
joyous [AND] friendly [IMPLY] uptight [PERIOD]
tired [AND] straightforward [AND] clumsy [IMPLY] quaint [PERIOD]
intellectual [AND] easy [IMPLY] reserved [PERIOD]
tender [AND] clumsy [IMPLY] fragile [PERIOD]
glamorous [AND] wandering [IMPLY] bad-tempered [PERIOD]
reserved [AND] plain [AND] fragile [IMPLY] famous [PERIOD]
grumpy [AND] uptight [IMPLY] glamorous [PERIOD]
famous [AND] grumpy [IMPLY] tame [PERIOD]
impartial [AND] lucky [IMPLY] intellectual [PERIOD]
wandering [AND] bad-tempered [IMPLY] impartial [PERIOD]
uptight [IMPLY] enchanting [PERIOD]
fragile [AND] wandering [AND] grumpy [IMPLY] glamorous [PERIOD]
plain [AND] famous [AND] uptight [IMPLY] bad-tempered [PERIOD]
uptight [IMPLY] friendly [PERIOD]
popular [IMPLY] wandering [PERIOD]
glamorous [AND] beautiful [AND] joyous [IMPLY] plain [PERIOD]
lucky [AND] joyous [AND] reserved [IMPLY] tame [PERIOD]
straightforward [IMPLY] impartial [PERIOD]
easy [AND] clumsy [IMPLY] diplomatic [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   Cannot apply rule “grumpy ⇒ plain” because missing: grumpy.
   Cannot apply rule “tired ∧ straightforward ⇒ plain” because missing: tired, straightforward.
   Cannot apply rule “reserved ∧ attractive ⇒ plain” because missing: reserved, attractive.
   Cannot apply rule “glamorous ∧ beautiful ∧ joyous ⇒ plain” because missing: glamorous, beautiful, joyous.
",0,4
"Facts:  Alice is inquisitive [PERIOD] Alice is foolish [PERIOD] Alice is jittery [PERIOD] Alice is plain [PERIOD] Alice is clumsy [PERIOD]
Rules:
rude [IMPLY] adorable [PERIOD]
plain [AND] beautiful [IMPLY] clumsy [PERIOD]
glamorous [AND] blushing [AND] elated [IMPLY] lucky [PERIOD]
serious [AND] alert [IMPLY] loving [PERIOD]
loving [IMPLY] jittery [PERIOD]
clumsy [AND] strange [IMPLY] blushing [PERIOD]
adorable [IMPLY] loving [PERIOD]
jittery [IMPLY] beautiful [PERIOD]
nervous [IMPLY] loving [PERIOD]
popular [AND] clumsy [IMPLY] serious [PERIOD]
beautiful [IMPLY] alert [PERIOD]
glamorous [AND] lucky [AND] nervous [IMPLY] foolish [PERIOD]
proud [IMPLY] loving [PERIOD]
alert [IMPLY] beautiful [PERIOD]
plain [AND] proud [IMPLY] foolish [PERIOD]
outrageous [IMPLY] foolish [PERIOD]
lucky [IMPLY] loving [PERIOD]
adorable [AND] jittery [AND] lucky [IMPLY] outrageous [PERIOD]
plain [AND] rude [AND] blushing [IMPLY] elated [PERIOD]
serious [AND] clumsy [AND] dishonest [IMPLY] elated [PERIOD]
lucky [AND] foolish [AND] popular [IMPLY] glamorous [PERIOD]
thoughtless [IMPLY] blushing [PERIOD]
outrageous [AND] thoughtless [AND] nervous [IMPLY] serious [PERIOD]
beautiful [IMPLY] blushing [PERIOD]
elated [AND] clumsy [AND] loving [IMPLY] jittery [PERIOD]
inquisitive [AND] clumsy [IMPLY] plain [PERIOD]
foolish [AND] rude [IMPLY] beautiful [PERIOD]
lucky [AND] thoughtless [IMPLY] glamorous [PERIOD]
blushing [IMPLY] dishonest [PERIOD]
dishonest [AND] plain [IMPLY] adorable [PERIOD]
rude [IMPLY] serious [PERIOD]
plain [AND] strange [AND] popular [IMPLY] clumsy [PERIOD]
rude [AND] nervous [IMPLY] lucky [PERIOD]
clumsy [IMPLY] proud [PERIOD]
clumsy [IMPLY] elated [PERIOD]
proud [IMPLY] popular [PERIOD]
foolish [IMPLY] elated [PERIOD]
rude [IMPLY] plain [PERIOD]
alert [IMPLY] adorable [PERIOD]
blushing [AND] inquisitive [IMPLY] plain [PERIOD]
proud [AND] adorable [IMPLY] thoughtless [PERIOD]
alert [AND] blushing [AND] beautiful [IMPLY] elated [PERIOD]
serious [AND] lucky [IMPLY] jittery [PERIOD]
rude [AND] alert [IMPLY] strange [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   jittery ⇒ beautiful
   beautiful ⇒ alert
   Cannot apply rule “rude ∧ alert ⇒ strange” because missing: rude.
",0,3
"Facts:  Alice is disgusted [PERIOD]
Rules:
helpful [IMPLY] disgusted [PERIOD]
fine [IMPLY] aggressive [PERIOD]
courageous [IMPLY] disgusted [PERIOD]
tense [AND] helpful [AND] rude [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] tense [PERIOD]
disgusted [IMPLY] confused [PERIOD]
impartial [AND] precious [IMPLY] helpful [PERIOD]
lonely [IMPLY] adorable [PERIOD]
helpful [AND] lonely [IMPLY] precious [PERIOD]
helpful [AND] precious [AND] tense [IMPLY] adorable [PERIOD]
tense [AND] lonely [IMPLY] rude [PERIOD]
fine [AND] adorable [AND] helpful [IMPLY] rude [PERIOD]
rude [AND] precious [IMPLY] adorable [PERIOD]
tense [IMPLY] fine [PERIOD]
courageous [IMPLY] helpful [PERIOD]
confused [AND] fine [AND] aggressive [IMPLY] adorable [PERIOD]
rude [IMPLY] lonely [PERIOD]
fine [IMPLY] adorable [PERIOD]
confused [IMPLY] tense [PERIOD]
disgusted [AND] confused [AND] rude [IMPLY] courageous [PERIOD]
helpful [IMPLY] fine [PERIOD]
fine [IMPLY] rude [PERIOD]
helpful [AND] courageous [IMPLY] disgusted [PERIOD]
Query: Alice is lonely [PERIOD]","Proof chain:
   disgusted ⇒ confused
   confused ⇒ tense
   tense ⇒ fine
   fine ⇒ rude
   rude ⇒ lonely
",1,5
"Facts:  Alice is loving [PERIOD] Alice is old-fashioned [PERIOD] Alice is ambitious [PERIOD]
Rules:
charming [IMPLY] sensible [PERIOD]
helpful [AND] talented [IMPLY] old-fashioned [PERIOD]
long [AND] glamorous [IMPLY] ambitious [PERIOD]
condemned [AND] sensible [AND] enchanting [IMPLY] cute [PERIOD]
worried [AND] precious [AND] old-fashioned [IMPLY] famous [PERIOD]
light [AND] fearless [AND] confident [IMPLY] ambitious [PERIOD]
light [AND] loving [IMPLY] old-fashioned [PERIOD]
silly [AND] long [AND] old-fashioned [IMPLY] talented [PERIOD]
sensible [IMPLY] enchanting [PERIOD]
courageous [AND] precious [AND] cute [IMPLY] condemned [PERIOD]
hurt [IMPLY] charming [PERIOD]
aggressive [IMPLY] famous [PERIOD]
enchanting [AND] fearless [AND] famous [IMPLY] sensible [PERIOD]
courageous [AND] sensible [IMPLY] charming [PERIOD]
shiny [IMPLY] courageous [PERIOD]
uptight [AND] talented [AND] hurt [IMPLY] confident [PERIOD]
thoughtless [AND] helpful [AND] aggressive [IMPLY] precious [PERIOD]
silly [AND] precious [AND] courageous [IMPLY] charming [PERIOD]
shiny [IMPLY] charming [PERIOD]
talented [AND] aggressive [AND] sensible [IMPLY] uptight [PERIOD]
shiny [AND] fearless [AND] charming [IMPLY] helpful [PERIOD]
shiny [IMPLY] confident [PERIOD]
precious [IMPLY] talented [PERIOD]
old-fashioned [AND] glamorous [AND] ambitious [IMPLY] hurt [PERIOD]
loving [IMPLY] aggressive [PERIOD]
fearless [AND] precious [AND] helpful [IMPLY] cute [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   Cannot apply rule “condemned ∧ sensible ∧ enchanting ⇒ cute” because missing: condemned, sensible, enchanting.
   Cannot apply rule “fearless ∧ precious ∧ helpful ⇒ cute” because missing: fearless, precious, helpful.
",0,2
"Facts:  Alice is clean [PERIOD]
Rules:
different [IMPLY] victorious [PERIOD]
clean [AND] silly [AND] condemned [IMPLY] comfortable [PERIOD]
jittery [AND] unpleasant [AND] muddy [IMPLY] victorious [PERIOD]
different [AND] silly [AND] condemned [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] excited [PERIOD]
unpleasant [AND] comfortable [AND] clean [IMPLY] different [PERIOD]
unpleasant [AND] glamorous [AND] inexpensive [IMPLY] clean [PERIOD]
excited [AND] condemned [AND] muddy [IMPLY] jittery [PERIOD]
jittery [AND] excited [AND] clean [IMPLY] victorious [PERIOD]
muddy [AND] unpleasant [IMPLY] glamorous [PERIOD]
jittery [AND] excited [IMPLY] clean [PERIOD]
silly [IMPLY] different [PERIOD]
clean [IMPLY] excited [PERIOD]
victorious [AND] glamorous [IMPLY] unpleasant [PERIOD]
excited [AND] silly [AND] jittery [IMPLY] comfortable [PERIOD]
muddy [AND] clean [AND] excited [IMPLY] jittery [PERIOD]
excited [AND] clean [IMPLY] jittery [PERIOD]
unpleasant [IMPLY] different [PERIOD]
silly [AND] unpleasant [AND] inexpensive [IMPLY] condemned [PERIOD]
condemned [AND] muddy [AND] inexpensive [IMPLY] jittery [PERIOD]
muddy [AND] comfortable [AND] glamorous [IMPLY] excited [PERIOD]
jittery [AND] muddy [AND] comfortable [IMPLY] victorious [PERIOD]
muddy [IMPLY] jittery [PERIOD]
clean [IMPLY] jittery [PERIOD]
condemned [AND] silly [AND] comfortable [IMPLY] excited [PERIOD]
unpleasant [AND] inexpensive [IMPLY] excited [PERIOD]
different [AND] victorious [IMPLY] inexpensive [PERIOD]
silly [AND] different [IMPLY] glamorous [PERIOD]
clean [IMPLY] different [PERIOD]
silly [IMPLY] muddy [PERIOD]
silly [AND] unpleasant [AND] victorious [IMPLY] condemned [PERIOD]
victorious [AND] muddy [AND] silly [IMPLY] jittery [PERIOD]
jittery [AND] inexpensive [AND] unpleasant [IMPLY] silly [PERIOD]
condemned [AND] unpleasant [IMPLY] jittery [PERIOD]
unpleasant [IMPLY] excited [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   clean ⇒ jittery
   clean ⇒ different
   clean ⇒ different
   different ⇒ victorious
   different ∧ victorious ⇒ inexpensive
   Cannot apply rule “jittery ∧ inexpensive ∧ unpleasant ⇒ silly” because missing: unpleasant.
",0,6
"Facts: 
Rules:
joyous [AND] enchanting [IMPLY] courageous [PERIOD]
shy [IMPLY] different [PERIOD]
zealous [AND] dull [AND] courageous [IMPLY] bad-tempered [PERIOD]
joyous [AND] powerful [AND] shy [IMPLY] friendly [PERIOD]
dull [AND] unpleasant [IMPLY] bored [PERIOD]
condemned [AND] different [AND] polite [IMPLY] joyous [PERIOD]
tired [IMPLY] zealous [PERIOD]
frightened [AND] bored [AND] powerful [IMPLY] joyous [PERIOD]
worrisome [IMPLY] joyous [PERIOD]
zealous [IMPLY] naughty [PERIOD]
polite [IMPLY] joyous [PERIOD]
polite [AND] frightened [IMPLY] easy [PERIOD]
broad-minded [AND] polite [IMPLY] tired [PERIOD]
broad-minded [AND] worrisome [AND] zealous [IMPLY] naughty [PERIOD]
dull [AND] frightened [IMPLY] long [PERIOD]
frightened [AND] shy [IMPLY] bored [PERIOD]
long [AND] courageous [IMPLY] different [PERIOD]
bad-tempered [AND] unpleasant [IMPLY] enchanting [PERIOD]
sleepy [AND] bad-tempered [IMPLY] different [PERIOD]
sleepy [AND] shy [AND] zealous [IMPLY] stormy [PERIOD]
bored [IMPLY] broad-minded [PERIOD]
frightened [IMPLY] long [PERIOD]
different [AND] dull [AND] worrisome [IMPLY] easy [PERIOD]
joyous [AND] tired [AND] frightened [IMPLY] friendly [PERIOD]
diplomatic [AND] sleepy [AND] hurt [IMPLY] worrisome [PERIOD]
different [IMPLY] friendly [PERIOD]
clean [AND] condemned [IMPLY] easy [PERIOD]
long [IMPLY] stormy [PERIOD]
joyous [AND] diplomatic [IMPLY] clean [PERIOD]
broad-minded [AND] stormy [AND] frightened [IMPLY] naughty [PERIOD]
joyous [AND] diplomatic [IMPLY] different [PERIOD]
dull [AND] powerful [IMPLY] hurt [PERIOD]
zealous [AND] broad-minded [IMPLY] bad-tempered [PERIOD]
sleepy [IMPLY] frightened [PERIOD]
stormy [AND] diplomatic [IMPLY] clean [PERIOD]
clean [AND] stormy [AND] courageous [IMPLY] powerful [PERIOD]
dull [AND] tired [AND] friendly [IMPLY] joyous [PERIOD]
easy [AND] sleepy [AND] courageous [IMPLY] different [PERIOD]
zealous [AND] powerful [AND] condemned [IMPLY] naughty [PERIOD]
broad-minded [AND] worrisome [AND] bad-tempered [IMPLY] shy [PERIOD]
worrisome [AND] long [IMPLY] different [PERIOD]
stormy [AND] tired [IMPLY] different [PERIOD]
stormy [AND] zealous [AND] bored [IMPLY] powerful [PERIOD]
hurt [AND] shy [IMPLY] powerful [PERIOD]
zealous [IMPLY] courageous [PERIOD]
bored [IMPLY] long [PERIOD]
diplomatic [IMPLY] clean [PERIOD]
frightened [IMPLY] bored [PERIOD]
long [AND] hurt [IMPLY] shy [PERIOD]
long [AND] bad-tempered [IMPLY] enchanting [PERIOD]
stormy [AND] condemned [AND] polite [IMPLY] sleepy [PERIOD]
enchanting [AND] shy [AND] long [IMPLY] condemned [PERIOD]
diplomatic [AND] zealous [IMPLY] bored [PERIOD]
friendly [IMPLY] easy [PERIOD]
bad-tempered [AND] sleepy [IMPLY] polite [PERIOD]
stormy [AND] bored [AND] different [IMPLY] friendly [PERIOD]
long [AND] diplomatic [AND] powerful [IMPLY] broad-minded [PERIOD]
easy [AND] stormy [IMPLY] diplomatic [PERIOD]
condemned [AND] tired [AND] clean [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] bored [PERIOD]
bad-tempered [AND] joyous [AND] different [IMPLY] clean [PERIOD]
polite [IMPLY] bored [PERIOD]
naughty [IMPLY] condemned [PERIOD]
sleepy [AND] clean [AND] condemned [IMPLY] powerful [PERIOD]
diplomatic [AND] naughty [AND] unpleasant [IMPLY] frightened [PERIOD]
diplomatic [IMPLY] worrisome [PERIOD]
bad-tempered [AND] zealous [IMPLY] worrisome [PERIOD]
tired [AND] worrisome [AND] joyous [IMPLY] different [PERIOD]
zealous [IMPLY] long [PERIOD]
sleepy [AND] broad-minded [AND] friendly [IMPLY] clean [PERIOD]
naughty [IMPLY] joyous [PERIOD]
shy [AND] clean [IMPLY] naughty [PERIOD]
dull [AND] diplomatic [IMPLY] unpleasant [PERIOD]
hurt [IMPLY] long [PERIOD]
stormy [AND] shy [AND] bored [IMPLY] bad-tempered [PERIOD]
hurt [AND] clean [IMPLY] shy [PERIOD]
zealous [IMPLY] diplomatic [PERIOD]
easy [AND] frightened [IMPLY] courageous [PERIOD]
frightened [AND] broad-minded [IMPLY] hurt [PERIOD]
polite [IMPLY] broad-minded [PERIOD]
bad-tempered [AND] courageous [IMPLY] bored [PERIOD]
different [IMPLY] broad-minded [PERIOD]
dull [AND] tired [IMPLY] diplomatic [PERIOD]
polite [IMPLY] condemned [PERIOD]
polite [AND] powerful [AND] broad-minded [IMPLY] long [PERIOD]
clean [AND] polite [IMPLY] bored [PERIOD]
broad-minded [AND] shy [AND] polite [IMPLY] worrisome [PERIOD]
broad-minded [AND] frightened [AND] polite [IMPLY] shy [PERIOD]
dull [AND] polite [AND] sleepy [IMPLY] broad-minded [PERIOD]
hurt [AND] broad-minded [AND] naughty [IMPLY] diplomatic [PERIOD]
bored [AND] bad-tempered [AND] friendly [IMPLY] hurt [PERIOD]
diplomatic [AND] easy [AND] courageous [IMPLY] sleepy [PERIOD]
clean [AND] worrisome [IMPLY] stormy [PERIOD]
naughty [AND] polite [IMPLY] zealous [PERIOD]
hurt [AND] joyous [IMPLY] zealous [PERIOD]
friendly [AND] joyous [AND] broad-minded [IMPLY] different [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
   Cannot apply rule “tired ⇒ zealous” because missing: tired.
   Cannot apply rule “naughty ∧ polite ⇒ zealous” because missing: naughty, polite.
   Cannot apply rule “hurt ∧ joyous ⇒ zealous” because missing: hurt, joyous.
",0,3
"Facts:  Alice is worried [PERIOD]
Rules:
intellectual [IMPLY] messy [PERIOD]
friendly [AND] wandering [IMPLY] intellectual [PERIOD]
worried [IMPLY] friendly [PERIOD]
messy [AND] worried [IMPLY] condemned [PERIOD]
intellectual [AND] messy [AND] condemned [IMPLY] friendly [PERIOD]
messy [AND] worried [AND] impatient [IMPLY] wandering [PERIOD]
condemned [AND] worried [IMPLY] messy [PERIOD]
condemned [AND] wandering [AND] intellectual [IMPLY] friendly [PERIOD]
condemned [AND] intellectual [IMPLY] messy [PERIOD]
impatient [IMPLY] intellectual [PERIOD]
impatient [IMPLY] wandering [PERIOD]
messy [AND] wandering [AND] condemned [IMPLY] intellectual [PERIOD]
impatient [AND] wandering [IMPLY] worried [PERIOD]
wandering [AND] worried [IMPLY] friendly [PERIOD]
condemned [IMPLY] worried [PERIOD]
friendly [AND] condemned [IMPLY] wandering [PERIOD]
messy [AND] friendly [IMPLY] worried [PERIOD]
Query: Alice is messy [PERIOD]","Proof chain:
   Cannot apply rule “intellectual ⇒ messy” because missing: intellectual.
   Cannot apply rule “condemned ∧ worried ⇒ messy” because missing: condemned.
   Cannot apply rule “condemned ∧ intellectual ⇒ messy” because missing: condemned, intellectual.
",0,3
"Facts:  Alice is easy [PERIOD] Alice is mean [PERIOD] Alice is different [PERIOD] Alice is confident [PERIOD] Alice is wrong [PERIOD] Alice is cute [PERIOD]
Rules:
attractive [AND] beautiful [IMPLY] mean [PERIOD]
mean [AND] confident [AND] beautiful [IMPLY] attentive [PERIOD]
wrong [IMPLY] different [PERIOD]
beautiful [AND] confident [AND] enchanting [IMPLY] easy [PERIOD]
wrong [AND] confident [AND] easy [IMPLY] different [PERIOD]
attentive [AND] different [AND] beautiful [IMPLY] attractive [PERIOD]
mean [AND] beautiful [IMPLY] cute [PERIOD]
mean [IMPLY] attentive [PERIOD]
easy [IMPLY] confident [PERIOD]
beautiful [AND] wrong [IMPLY] confident [PERIOD]
beautiful [IMPLY] enchanting [PERIOD]
enchanting [AND] beautiful [AND] confident [IMPLY] cute [PERIOD]
different [AND] cute [IMPLY] wrong [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   mean ⇒ attentive
   Cannot apply rule “attentive ∧ different ∧ beautiful ⇒ attractive” because missing: beautiful.
",0,2
"Facts:  Alice is worrisome [PERIOD] Alice is worried [PERIOD]
Rules:
serious [AND] glamorous [IMPLY] courageous [PERIOD]
glamorous [IMPLY] confused [PERIOD]
serious [AND] lonely [AND] confused [IMPLY] worried [PERIOD]
confused [IMPLY] courageous [PERIOD]
glamorous [IMPLY] worried [PERIOD]
confused [AND] adorable [IMPLY] glamorous [PERIOD]
glamorous [AND] confused [IMPLY] worrisome [PERIOD]
worried [AND] courageous [AND] serious [IMPLY] adorable [PERIOD]
confused [AND] lonely [IMPLY] glamorous [PERIOD]
worrisome [AND] rude [IMPLY] glamorous [PERIOD]
confused [AND] courageous [IMPLY] serious [PERIOD]
confused [AND] worrisome [IMPLY] rude [PERIOD]
glamorous [IMPLY] adorable [PERIOD]
courageous [AND] serious [IMPLY] lonely [PERIOD]
adorable [IMPLY] lonely [PERIOD]
courageous [AND] serious [IMPLY] worrisome [PERIOD]
worried [AND] adorable [IMPLY] serious [PERIOD]
confused [IMPLY] glamorous [PERIOD]
lonely [IMPLY] serious [PERIOD]
adorable [AND] lonely [AND] confused [IMPLY] worried [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   Cannot apply rule “confused ∧ courageous ⇒ serious” because missing: confused, courageous.
   Cannot apply rule “worried ∧ adorable ⇒ serious” because missing: adorable.
   Cannot apply rule “lonely ⇒ serious” because missing: lonely.
",0,3
"Facts:  Alice is spotless [PERIOD] Alice is muddy [PERIOD] Alice is serious [PERIOD] Alice is victorious [PERIOD] Alice is tired [PERIOD] Alice is talented [PERIOD] Alice is horrible [PERIOD] Alice is popular [PERIOD] Alice is plain [PERIOD] Alice is bright [PERIOD] Alice is frail [PERIOD] Alice is zealous [PERIOD] Alice is fine [PERIOD] Alice is courageous [PERIOD] Alice is bad-tempered [PERIOD] Alice is enchanting [PERIOD] Alice is average [PERIOD] Alice is outstanding [PERIOD] Alice is talkative [PERIOD] Alice is powerful [PERIOD] Alice is pessimistic [PERIOD] Alice is charming [PERIOD]
Rules:
zealous [IMPLY] outstanding [PERIOD]
tired [IMPLY] spotless [PERIOD]
talkative [IMPLY] tired [PERIOD]
talented [IMPLY] powerful [PERIOD]
popular [AND] average [AND] talented [IMPLY] bright [PERIOD]
bad-tempered [IMPLY] charming [PERIOD]
uptight [AND] talented [IMPLY] bright [PERIOD]
popular [AND] powerful [AND] zealous [IMPLY] muddy [PERIOD]
bright [IMPLY] courageous [PERIOD]
courageous [AND] horrible [IMPLY] bright [PERIOD]
talkative [AND] outstanding [IMPLY] bad-tempered [PERIOD]
average [IMPLY] frail [PERIOD]
pessimistic [AND] muddy [IMPLY] victorious [PERIOD]
tired [IMPLY] enchanting [PERIOD]
victorious [AND] courageous [IMPLY] uptight [PERIOD]
powerful [AND] spotless [IMPLY] talented [PERIOD]
enchanting [IMPLY] zealous [PERIOD]
bad-tempered [AND] zealous [AND] enchanting [IMPLY] charming [PERIOD]
spotless [IMPLY] charming [PERIOD]
serious [AND] charming [IMPLY] spotless [PERIOD]
enchanting [AND] tired [AND] popular [IMPLY] uptight [PERIOD]
fine [IMPLY] outstanding [PERIOD]
bright [AND] enchanting [AND] victorious [IMPLY] spotless [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is fragile [PERIOD] Alice is average [PERIOD] Alice is cruel [PERIOD] Alice is fearless [PERIOD] Alice is old-fashioned [PERIOD] Alice is disgusted [PERIOD] Alice is helpful [PERIOD] Alice is worried [PERIOD] Alice is victorious [PERIOD] Alice is hilarious [PERIOD] Alice is dishonest [PERIOD] Alice is ugliest [PERIOD] Alice is confused [PERIOD] Alice is rational [PERIOD]
Rules:
old-fashioned [IMPLY] fragile [PERIOD]
ugliest [AND] worried [AND] gifted [IMPLY] cruel [PERIOD]
dishonest [IMPLY] victorious [PERIOD]
confused [AND] average [AND] cruel [IMPLY] fearless [PERIOD]
confused [AND] gifted [AND] cruel [IMPLY] old-fashioned [PERIOD]
worried [IMPLY] average [PERIOD]
fragile [AND] gifted [IMPLY] dishonest [PERIOD]
hilarious [IMPLY] distinct [PERIOD]
gifted [AND] fearless [AND] disgusted [IMPLY] hilarious [PERIOD]
average [AND] hilarious [AND] ugliest [IMPLY] helpful [PERIOD]
dishonest [AND] helpful [IMPLY] victorious [PERIOD]
gifted [AND] victorious [AND] confused [IMPLY] worried [PERIOD]
distinct [AND] fragile [IMPLY] helpful [PERIOD]
dishonest [IMPLY] rational [PERIOD]
old-fashioned [AND] average [AND] rational [IMPLY] victorious [PERIOD]
hilarious [AND] disgusted [AND] average [IMPLY] fragile [PERIOD]
gifted [IMPLY] fearless [PERIOD]
dishonest [AND] fearless [AND] distinct [IMPLY] worried [PERIOD]
ugliest [AND] cruel [AND] fragile [IMPLY] gifted [PERIOD]
hilarious [AND] fragile [IMPLY] rational [PERIOD]
worried [AND] disgusted [AND] ugliest [IMPLY] fragile [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is crowded [PERIOD] Alice is outstanding [PERIOD] Alice is fearless [PERIOD] Alice is perfect [PERIOD] Alice is amused [PERIOD]
Rules:
fearless [IMPLY] outstanding [PERIOD]
amused [AND] crowded [IMPLY] tired [PERIOD]
tired [AND] crowded [AND] fearless [IMPLY] lonely [PERIOD]
amused [AND] elated [AND] fearless [IMPLY] crowded [PERIOD]
fancy [AND] confident [AND] strange [IMPLY] amused [PERIOD]
stupid [AND] impartial [IMPLY] crowded [PERIOD]
crowded [AND] outstanding [AND] amused [IMPLY] fancy [PERIOD]
outstanding [AND] crowded [IMPLY] lonely [PERIOD]
nervous [AND] fancy [AND] amused [IMPLY] fearless [PERIOD]
modern [AND] fearless [IMPLY] nervous [PERIOD]
tired [AND] embarrassed [IMPLY] strange [PERIOD]
nervous [IMPLY] fancy [PERIOD]
outstanding [AND] fearless [IMPLY] amused [PERIOD]
fearless [IMPLY] amused [PERIOD]
embarrassed [AND] perfect [AND] strange [IMPLY] nervous [PERIOD]
perfect [IMPLY] embarrassed [PERIOD]
attentive [AND] embarrassed [IMPLY] confident [PERIOD]
nervous [AND] perfect [AND] confident [IMPLY] fearless [PERIOD]
impartial [AND] attentive [IMPLY] nervous [PERIOD]
outstanding [AND] modern [AND] elated [IMPLY] impartial [PERIOD]
stupid [AND] amused [AND] tired [IMPLY] perfect [PERIOD]
attentive [AND] strange [AND] perfect [IMPLY] fancy [PERIOD]
stupid [AND] amused [AND] nervous [IMPLY] perfect [PERIOD]
perfect [AND] fearless [AND] attentive [IMPLY] amused [PERIOD]
lonely [AND] fancy [IMPLY] confident [PERIOD]
embarrassed [AND] nervous [IMPLY] modern [PERIOD]
modern [IMPLY] lonely [PERIOD]
confident [IMPLY] tired [PERIOD]
outstanding [IMPLY] modern [PERIOD]
stupid [IMPLY] fancy [PERIOD]
confident [AND] elated [IMPLY] amused [PERIOD]
confident [IMPLY] perfect [PERIOD]
attentive [IMPLY] tired [PERIOD]
lonely [AND] stupid [AND] elated [IMPLY] strange [PERIOD]
amused [AND] fancy [AND] outstanding [IMPLY] confident [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   outstanding ⇒ modern
   Cannot apply rule “outstanding ∧ modern ∧ elated ⇒ impartial” because missing: elated.
",0,2
"Facts:  Alice is sensible [PERIOD] Alice is diplomatic [PERIOD] Alice is tame [PERIOD] Alice is light [PERIOD] Alice is excited [PERIOD]
Rules:
ambitious [AND] courageous [IMPLY] tender [PERIOD]
thoughtful [IMPLY] tame [PERIOD]
tender [AND] light [AND] exuberant [IMPLY] hilarious [PERIOD]
talented [IMPLY] ugly [PERIOD]
difficult [AND] attentive [IMPLY] light [PERIOD]
straightforward [IMPLY] exuberant [PERIOD]
hilarious [AND] difficult [AND] diplomatic [IMPLY] attentive [PERIOD]
talented [AND] ugly [AND] hurt [IMPLY] rational [PERIOD]
ambitious [IMPLY] hurt [PERIOD]
charming [IMPLY] tender [PERIOD]
hurt [AND] thoughtful [IMPLY] foolish [PERIOD]
rational [AND] different [IMPLY] charming [PERIOD]
plain [IMPLY] tender [PERIOD]
hilarious [AND] excited [AND] talented [IMPLY] light [PERIOD]
tame [AND] tender [AND] courageous [IMPLY] anxious [PERIOD]
sensible [IMPLY] attentive [PERIOD]
diplomatic [AND] exuberant [IMPLY] hilarious [PERIOD]
precious [AND] foolish [IMPLY] anxious [PERIOD]
exuberant [AND] plain [AND] ugly [IMPLY] thoughtful [PERIOD]
charming [IMPLY] different [PERIOD]
courageous [AND] fancy [IMPLY] ambitious [PERIOD]
foolish [AND] tender [IMPLY] rational [PERIOD]
tender [IMPLY] foolish [PERIOD]
talented [AND] hurt [IMPLY] thoughtful [PERIOD]
courageous [IMPLY] plain [PERIOD]
tender [IMPLY] straightforward [PERIOD]
foolish [IMPLY] charming [PERIOD]
aggressive [AND] foolish [IMPLY] fancy [PERIOD]
hilarious [AND] diplomatic [IMPLY] anxious [PERIOD]
hilarious [AND] plain [IMPLY] fancy [PERIOD]
foolish [AND] fancy [IMPLY] ambitious [PERIOD]
hilarious [AND] exuberant [IMPLY] excited [PERIOD]
light [IMPLY] aggressive [PERIOD]
courageous [AND] plain [IMPLY] hilarious [PERIOD]
courageous [AND] sensible [AND] excited [IMPLY] tame [PERIOD]
foolish [AND] attentive [AND] exuberant [IMPLY] charming [PERIOD]
attentive [AND] tender [IMPLY] plain [PERIOD]
excited [AND] charming [IMPLY] diplomatic [PERIOD]
talented [IMPLY] courageous [PERIOD]
tender [AND] difficult [AND] sensible [IMPLY] diplomatic [PERIOD]
difficult [AND] diplomatic [IMPLY] rational [PERIOD]
ambitious [AND] diplomatic [AND] precious [IMPLY] straightforward [PERIOD]
sensible [IMPLY] diplomatic [PERIOD]
different [AND] hilarious [IMPLY] talented [PERIOD]
ugly [IMPLY] charming [PERIOD]
excited [AND] tender [IMPLY] thoughtful [PERIOD]
hurt [IMPLY] ambitious [PERIOD]
fancy [AND] straightforward [AND] sensible [IMPLY] anxious [PERIOD]
fancy [AND] courageous [IMPLY] talented [PERIOD]
straightforward [AND] light [AND] foolish [IMPLY] different [PERIOD]
hurt [AND] foolish [IMPLY] tender [PERIOD]
hilarious [IMPLY] attentive [PERIOD]
plain [AND] rational [AND] foolish [IMPLY] charming [PERIOD]
precious [AND] plain [IMPLY] excited [PERIOD]
anxious [IMPLY] precious [PERIOD]
tame [IMPLY] ambitious [PERIOD]
tender [AND] talented [IMPLY] precious [PERIOD]
charming [AND] ugly [IMPLY] hilarious [PERIOD]
thoughtful [IMPLY] straightforward [PERIOD]
excited [AND] attentive [IMPLY] thoughtful [PERIOD]
difficult [AND] talented [IMPLY] sensible [PERIOD]
sensible [IMPLY] ugly [PERIOD]
tender [IMPLY] talented [PERIOD]
courageous [AND] talented [AND] attentive [IMPLY] anxious [PERIOD]
charming [AND] tender [IMPLY] diplomatic [PERIOD]
hurt [IMPLY] fancy [PERIOD]
sensible [IMPLY] precious [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   tame ⇒ ambitious
   ambitious ⇒ hurt
   sensible ⇒ attentive
   excited ∧ attentive ⇒ thoughtful
   hurt ∧ thoughtful ⇒ foolish
",1,5
"Facts:  Alice is perfect [PERIOD] Alice is rational [PERIOD] Alice is disgusted [PERIOD]
Rules:
vivacious [AND] unpleasant [IMPLY] scared [PERIOD]
elated [AND] disgusted [AND] outstanding [IMPLY] pleasant [PERIOD]
rational [AND] difficult [IMPLY] disgusted [PERIOD]
frightened [AND] precious [IMPLY] outstanding [PERIOD]
hypocritical [AND] nervous [AND] frightened [IMPLY] helpful [PERIOD]
joyous [AND] impartial [IMPLY] disgusted [PERIOD]
lucky [IMPLY] joyous [PERIOD]
pleasant [IMPLY] difficult [PERIOD]
hypocritical [IMPLY] worried [PERIOD]
joyous [IMPLY] outstanding [PERIOD]
difficult [IMPLY] perfect [PERIOD]
anxious [AND] worried [AND] helpful [IMPLY] inexpensive [PERIOD]
frightened [AND] perfect [IMPLY] impartial [PERIOD]
rational [AND] scared [AND] joyous [IMPLY] friendly [PERIOD]
hypocritical [AND] rational [AND] difficult [IMPLY] average [PERIOD]
nervous [IMPLY] loving [PERIOD]
loving [AND] disgusted [AND] pleasant [IMPLY] perfect [PERIOD]
elated [AND] anxious [AND] frightened [IMPLY] inexpensive [PERIOD]
perfect [AND] pleasant [AND] hypocritical [IMPLY] impartial [PERIOD]
pleasant [AND] nervous [AND] inexpensive [IMPLY] precious [PERIOD]
disgusted [IMPLY] unpleasant [PERIOD]
difficult [AND] scared [AND] rational [IMPLY] quaint [PERIOD]
anxious [AND] tender [IMPLY] pleasant [PERIOD]
rational [AND] difficult [AND] joyous [IMPLY] inexpensive [PERIOD]
friendly [IMPLY] tender [PERIOD]
foolish [IMPLY] disgusted [PERIOD]
worried [AND] impartial [IMPLY] pleasant [PERIOD]
elated [IMPLY] quaint [PERIOD]
excited [AND] average [AND] loving [IMPLY] precious [PERIOD]
hypocritical [AND] pleasant [AND] vivacious [IMPLY] lucky [PERIOD]
pleasant [AND] scared [AND] quaint [IMPLY] average [PERIOD]
scared [AND] outstanding [AND] pleasant [IMPLY] hilarious [PERIOD]
inexpensive [IMPLY] frightened [PERIOD]
helpful [AND] anxious [AND] tender [IMPLY] elated [PERIOD]
pleasant [IMPLY] excited [PERIOD]
joyous [IMPLY] hilarious [PERIOD]
lucky [AND] worried [AND] joyous [IMPLY] loving [PERIOD]
pleasant [AND] inexpensive [IMPLY] helpful [PERIOD]
outstanding [AND] precious [AND] lucky [IMPLY] friendly [PERIOD]
worried [AND] friendly [AND] anxious [IMPLY] joyous [PERIOD]
unpleasant [AND] powerful [AND] hypocritical [IMPLY] inexpensive [PERIOD]
friendly [AND] loving [AND] outstanding [IMPLY] anxious [PERIOD]
scared [AND] powerful [IMPLY] hilarious [PERIOD]
vivacious [AND] loving [IMPLY] anxious [PERIOD]
tender [AND] nervous [IMPLY] disgusted [PERIOD]
scared [AND] helpful [AND] elated [IMPLY] disgusted [PERIOD]
frightened [AND] precious [AND] elated [IMPLY] friendly [PERIOD]
joyous [AND] precious [IMPLY] pleasant [PERIOD]
excited [AND] tender [IMPLY] difficult [PERIOD]
friendly [AND] elated [AND] powerful [IMPLY] scared [PERIOD]
scared [AND] hypocritical [IMPLY] pleasant [PERIOD]
average [AND] inexpensive [IMPLY] tender [PERIOD]
impartial [IMPLY] tender [PERIOD]
worried [AND] unpleasant [IMPLY] anxious [PERIOD]
perfect [IMPLY] frightened [PERIOD]
anxious [AND] average [AND] excited [IMPLY] rational [PERIOD]
unpleasant [AND] anxious [IMPLY] excited [PERIOD]
perfect [AND] hypocritical [AND] scared [IMPLY] tender [PERIOD]
frightened [AND] inexpensive [IMPLY] quaint [PERIOD]
elated [IMPLY] average [PERIOD]
perfect [AND] friendly [IMPLY] loving [PERIOD]
frightened [AND] disgusted [AND] precious [IMPLY] difficult [PERIOD]
foolish [AND] frightened [IMPLY] disgusted [PERIOD]
worried [AND] precious [IMPLY] unpleasant [PERIOD]
perfect [AND] nervous [IMPLY] tender [PERIOD]
elated [AND] outstanding [IMPLY] loving [PERIOD]
lucky [AND] helpful [AND] anxious [IMPLY] inexpensive [PERIOD]
loving [AND] impartial [AND] friendly [IMPLY] average [PERIOD]
nervous [IMPLY] foolish [PERIOD]
impartial [IMPLY] average [PERIOD]
hypocritical [AND] outstanding [IMPLY] precious [PERIOD]
anxious [AND] lucky [AND] friendly [IMPLY] perfect [PERIOD]
elated [IMPLY] difficult [PERIOD]
difficult [IMPLY] quaint [PERIOD]
disgusted [AND] tender [AND] excited [IMPLY] foolish [PERIOD]
outstanding [AND] foolish [IMPLY] vivacious [PERIOD]
elated [IMPLY] lucky [PERIOD]
worried [AND] joyous [IMPLY] perfect [PERIOD]
lucky [AND] difficult [AND] friendly [IMPLY] hypocritical [PERIOD]
anxious [AND] worried [IMPLY] lucky [PERIOD]
friendly [IMPLY] elated [PERIOD]
lucky [AND] perfect [IMPLY] helpful [PERIOD]
quaint [IMPLY] hypocritical [PERIOD]
rational [AND] joyous [IMPLY] foolish [PERIOD]
quaint [AND] lucky [IMPLY] nervous [PERIOD]
hilarious [IMPLY] foolish [PERIOD]
outstanding [AND] rational [IMPLY] nervous [PERIOD]
excited [AND] pleasant [IMPLY] disgusted [PERIOD]
quaint [AND] vivacious [AND] foolish [IMPLY] outstanding [PERIOD]
joyous [AND] quaint [IMPLY] helpful [PERIOD]
average [AND] hilarious [AND] disgusted [IMPLY] frightened [PERIOD]
unpleasant [AND] inexpensive [IMPLY] lucky [PERIOD]
frightened [AND] worried [IMPLY] hilarious [PERIOD]
excited [IMPLY] outstanding [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   perfect ⇒ frightened
   frightened ∧ perfect ⇒ impartial
   impartial ⇒ tender
   Cannot apply rule “helpful ∧ anxious ∧ tender ⇒ elated” because missing: helpful, anxious.
   Cannot apply rule “friendly ⇒ elated” because missing: friendly.
",0,5
"Facts: 
Rules:
smart [AND] lonely [AND] enchanting [IMPLY] nervous [PERIOD]
dishonest [IMPLY] impartial [PERIOD]
impartial [AND] stormy [AND] glamorous [IMPLY] rude [PERIOD]
glamorous [AND] rude [AND] lonely [IMPLY] uptight [PERIOD]
cruel [AND] enchanting [IMPLY] dishonest [PERIOD]
cruel [AND] nervous [AND] broad-minded [IMPLY] rude [PERIOD]
smart [AND] embarrassed [IMPLY] average [PERIOD]
grumpy [AND] polite [AND] average [IMPLY] broad-minded [PERIOD]
average [AND] nervous [IMPLY] broad-minded [PERIOD]
rude [AND] bright [IMPLY] enchanting [PERIOD]
lonely [AND] glamorous [IMPLY] embarrassed [PERIOD]
thoughtless [AND] embarrassed [IMPLY] uptight [PERIOD]
grumpy [AND] broad-minded [AND] rude [IMPLY] average [PERIOD]
rude [AND] cute [IMPLY] impartial [PERIOD]
outstanding [AND] stormy [IMPLY] smart [PERIOD]
lonely [AND] grumpy [IMPLY] cute [PERIOD]
outstanding [AND] cute [AND] impartial [IMPLY] glamorous [PERIOD]
rude [AND] smart [AND] bright [IMPLY] lonely [PERIOD]
uptight [IMPLY] cute [PERIOD]
bright [AND] nervous [IMPLY] cruel [PERIOD]
lonely [AND] nervous [IMPLY] outstanding [PERIOD]
average [AND] comfortable [AND] stormy [IMPLY] outstanding [PERIOD]
cruel [AND] thoughtless [AND] rude [IMPLY] uptight [PERIOD]
comfortable [AND] thoughtless [IMPLY] rude [PERIOD]
thoughtful [IMPLY] cute [PERIOD]
nervous [AND] embarrassed [AND] smart [IMPLY] bad-tempered [PERIOD]
polite [AND] cruel [IMPLY] smart [PERIOD]
comfortable [AND] broad-minded [IMPLY] thoughtless [PERIOD]
cute [IMPLY] outstanding [PERIOD]
bright [AND] grumpy [AND] dishonest [IMPLY] thoughtful [PERIOD]
embarrassed [IMPLY] thoughtless [PERIOD]
enchanting [IMPLY] cruel [PERIOD]
smart [IMPLY] cruel [PERIOD]
lonely [AND] grumpy [AND] thoughtful [IMPLY] broad-minded [PERIOD]
bad-tempered [IMPLY] stormy [PERIOD]
cruel [AND] enchanting [AND] thoughtful [IMPLY] smart [PERIOD]
comfortable [AND] smart [IMPLY] average [PERIOD]
bad-tempered [AND] rude [IMPLY] grumpy [PERIOD]
polite [AND] uptight [AND] cruel [IMPLY] outstanding [PERIOD]
uptight [AND] embarrassed [IMPLY] lonely [PERIOD]
impartial [IMPLY] cute [PERIOD]
thoughtless [IMPLY] broad-minded [PERIOD]
impartial [AND] outstanding [AND] cruel [IMPLY] polite [PERIOD]
thoughtless [AND] cute [IMPLY] nervous [PERIOD]
thoughtful [AND] stormy [IMPLY] lonely [PERIOD]
grumpy [AND] comfortable [IMPLY] lonely [PERIOD]
bad-tempered [AND] thoughtless [AND] outstanding [IMPLY] smart [PERIOD]
grumpy [IMPLY] average [PERIOD]
rude [AND] glamorous [IMPLY] dishonest [PERIOD]
comfortable [AND] impartial [IMPLY] average [PERIOD]
rude [IMPLY] impartial [PERIOD]
cruel [AND] enchanting [AND] average [IMPLY] outstanding [PERIOD]
lonely [AND] enchanting [AND] impartial [IMPLY] stormy [PERIOD]
average [AND] cute [AND] outstanding [IMPLY] nervous [PERIOD]
cute [AND] outstanding [IMPLY] comfortable [PERIOD]
average [AND] thoughtful [IMPLY] broad-minded [PERIOD]
thoughtless [IMPLY] polite [PERIOD]
lonely [AND] broad-minded [IMPLY] cute [PERIOD]
broad-minded [IMPLY] dishonest [PERIOD]
average [AND] outstanding [AND] stormy [IMPLY] embarrassed [PERIOD]
outstanding [AND] broad-minded [IMPLY] grumpy [PERIOD]
smart [IMPLY] lonely [PERIOD]
enchanting [AND] broad-minded [IMPLY] rude [PERIOD]
average [AND] bad-tempered [IMPLY] lonely [PERIOD]
comfortable [AND] cute [AND] polite [IMPLY] nervous [PERIOD]
cute [AND] glamorous [AND] uptight [IMPLY] stormy [PERIOD]
cute [IMPLY] thoughtful [PERIOD]
glamorous [AND] bad-tempered [IMPLY] cruel [PERIOD]
cruel [IMPLY] grumpy [PERIOD]
smart [AND] glamorous [IMPLY] dishonest [PERIOD]
stormy [AND] cruel [AND] lonely [IMPLY] average [PERIOD]
glamorous [AND] embarrassed [AND] grumpy [IMPLY] nervous [PERIOD]
grumpy [IMPLY] uptight [PERIOD]
embarrassed [AND] thoughtless [IMPLY] nervous [PERIOD]
comfortable [IMPLY] impartial [PERIOD]
dishonest [AND] nervous [IMPLY] smart [PERIOD]
stormy [IMPLY] cruel [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   Cannot apply rule “lonely ∧ grumpy ⇒ cute” because missing: lonely, grumpy.
   Cannot apply rule “uptight ⇒ cute” because missing: uptight.
   Cannot apply rule “thoughtful ⇒ cute” because missing: thoughtful.
   Cannot apply rule “impartial ⇒ cute” because missing: impartial.
   Cannot apply rule “lonely ∧ broad-minded ⇒ cute” because missing: lonely, broad-minded.
",0,5
"Facts:  Alice is pessimistic [PERIOD] Alice is dull [PERIOD]
Rules:
stupid [AND] muddy [AND] uptight [IMPLY] confident [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   No rule concludes “bossy.”
",0,1
"Facts:  Alice is careless [PERIOD] Alice is smart [PERIOD]
Rules:
smart [AND] calm [AND] rational [IMPLY] charming [PERIOD]
charming [IMPLY] impartial [PERIOD]
calm [AND] rational [AND] alert [IMPLY] hurt [PERIOD]
careless [AND] calm [AND] crowded [IMPLY] proud [PERIOD]
calm [IMPLY] confident [PERIOD]
rational [IMPLY] calm [PERIOD]
calm [AND] charming [AND] confident [IMPLY] impartial [PERIOD]
rational [AND] wrong [AND] alert [IMPLY] confident [PERIOD]
confident [IMPLY] proud [PERIOD]
smart [IMPLY] charming [PERIOD]
charming [IMPLY] smart [PERIOD]
smart [AND] proud [AND] alert [IMPLY] calm [PERIOD]
charming [AND] impartial [AND] hurt [IMPLY] calm [PERIOD]
hurt [AND] crowded [IMPLY] impatient [PERIOD]
smart [AND] alert [IMPLY] calm [PERIOD]
confident [AND] wrong [AND] crowded [IMPLY] smart [PERIOD]
impatient [AND] calm [AND] confident [IMPLY] alert [PERIOD]
charming [AND] careless [IMPLY] alert [PERIOD]
smart [IMPLY] wrong [PERIOD]
careless [AND] impartial [AND] crowded [IMPLY] rational [PERIOD]
alert [AND] careless [IMPLY] wrong [PERIOD]
confident [IMPLY] calm [PERIOD]
impatient [AND] calm [AND] crowded [IMPLY] hurt [PERIOD]
hurt [IMPLY] impartial [PERIOD]
hurt [AND] confident [AND] smart [IMPLY] proud [PERIOD]
rational [AND] crowded [AND] hurt [IMPLY] smart [PERIOD]
proud [AND] hurt [AND] impartial [IMPLY] rational [PERIOD]
rational [AND] confident [AND] alert [IMPLY] proud [PERIOD]
confident [IMPLY] careless [PERIOD]
smart [AND] hurt [AND] alert [IMPLY] crowded [PERIOD]
confident [AND] alert [IMPLY] wrong [PERIOD]
charming [AND] calm [AND] impatient [IMPLY] careless [PERIOD]
hurt [AND] wrong [IMPLY] crowded [PERIOD]
charming [AND] impartial [IMPLY] smart [PERIOD]
proud [AND] smart [IMPLY] hurt [PERIOD]
impartial [AND] proud [IMPLY] rational [PERIOD]
wrong [AND] crowded [AND] rational [IMPLY] charming [PERIOD]
impartial [IMPLY] confident [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   smart ⇒ charming
   charming ⇒ impartial
   impartial ⇒ confident
   confident ⇒ proud
   proud ∧ smart ⇒ hurt
",1,5
"Facts:  Alice is unpleasant [PERIOD] Alice is pleasant [PERIOD] Alice is homely [PERIOD] Alice is blushing [PERIOD] Alice is average [PERIOD] Alice is spotless [PERIOD] Alice is scared [PERIOD] Alice is joyous [PERIOD] Alice is rude [PERIOD]
Rules:
frail [AND] tame [AND] mean [IMPLY] naughty [PERIOD]
exuberant [IMPLY] tame [PERIOD]
spotless [AND] famous [AND] frail [IMPLY] serious [PERIOD]
exuberant [AND] polite [IMPLY] naughty [PERIOD]
spotless [AND] polite [AND] cooperative [IMPLY] tame [PERIOD]
rude [IMPLY] average [PERIOD]
tame [AND] frail [IMPLY] cooperative [PERIOD]
serious [AND] shy [IMPLY] famous [PERIOD]
ugly [IMPLY] dull [PERIOD]
enchanting [AND] lonely [IMPLY] disobedient [PERIOD]
cooperative [AND] wrong [AND] polite [IMPLY] famous [PERIOD]
scared [AND] dull [IMPLY] naughty [PERIOD]
homely [AND] exuberant [IMPLY] shy [PERIOD]
homely [AND] rude [AND] ambitious [IMPLY] enchanting [PERIOD]
blushing [AND] exuberant [AND] ambitious [IMPLY] average [PERIOD]
polite [AND] disobedient [IMPLY] homely [PERIOD]
serious [IMPLY] frail [PERIOD]
joyous [AND] broad-minded [IMPLY] polite [PERIOD]
famous [AND] tame [IMPLY] joyous [PERIOD]
thoughtless [IMPLY] shy [PERIOD]
broad-minded [AND] homely [AND] wrong [IMPLY] shy [PERIOD]
famous [AND] scared [AND] thoughtless [IMPLY] exuberant [PERIOD]
scared [AND] mean [AND] enchanting [IMPLY] serious [PERIOD]
disobedient [AND] spotless [IMPLY] polite [PERIOD]
frail [AND] exuberant [IMPLY] rude [PERIOD]
frantic [AND] pleasant [AND] scared [IMPLY] shy [PERIOD]
joyous [IMPLY] tame [PERIOD]
tame [IMPLY] serious [PERIOD]
polite [AND] tender [IMPLY] wrong [PERIOD]
famous [AND] ugly [IMPLY] enchanting [PERIOD]
wrong [AND] ugly [IMPLY] blushing [PERIOD]
ambitious [IMPLY] blushing [PERIOD]
famous [AND] ambitious [IMPLY] thoughtless [PERIOD]
mean [AND] polite [IMPLY] rude [PERIOD]
frantic [IMPLY] ambitious [PERIOD]
ugly [AND] unpleasant [IMPLY] pleasant [PERIOD]
thoughtless [AND] homely [IMPLY] disobedient [PERIOD]
broad-minded [IMPLY] cooperative [PERIOD]
famous [AND] polite [AND] disobedient [IMPLY] frantic [PERIOD]
naughty [AND] enchanting [AND] pleasant [IMPLY] average [PERIOD]
scared [AND] blushing [AND] frantic [IMPLY] spotless [PERIOD]
dull [AND] naughty [AND] joyous [IMPLY] lonely [PERIOD]
tame [AND] ambitious [IMPLY] naughty [PERIOD]
disobedient [IMPLY] wrong [PERIOD]
shy [AND] broad-minded [AND] frantic [IMPLY] wrong [PERIOD]
naughty [IMPLY] mean [PERIOD]
famous [AND] spotless [AND] scared [IMPLY] mean [PERIOD]
spotless [AND] frail [AND] mean [IMPLY] average [PERIOD]
pleasant [AND] homely [IMPLY] scared [PERIOD]
shy [AND] scared [AND] polite [IMPLY] enchanting [PERIOD]
tame [AND] unpleasant [IMPLY] cooperative [PERIOD]
frail [AND] thoughtless [AND] blushing [IMPLY] joyous [PERIOD]
blushing [AND] frail [IMPLY] exuberant [PERIOD]
cooperative [IMPLY] unpleasant [PERIOD]
dull [AND] serious [AND] cooperative [IMPLY] shy [PERIOD]
naughty [AND] homely [IMPLY] tame [PERIOD]
unpleasant [IMPLY] homely [PERIOD]
tame [IMPLY] polite [PERIOD]
exuberant [AND] dull [AND] rude [IMPLY] wrong [PERIOD]
shy [AND] homely [IMPLY] rude [PERIOD]
rude [IMPLY] frantic [PERIOD]
tame [AND] naughty [IMPLY] scared [PERIOD]
unpleasant [AND] frail [AND] scared [IMPLY] homely [PERIOD]
exuberant [AND] mean [IMPLY] broad-minded [PERIOD]
homely [AND] shy [IMPLY] enchanting [PERIOD]
dull [IMPLY] joyous [PERIOD]
exuberant [AND] joyous [IMPLY] cooperative [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   joyous ⇒ tame
   tame ⇒ serious
   rude ⇒ frantic
   frantic ∧ pleasant ∧ scared ⇒ shy
   serious ∧ shy ⇒ famous
",1,5
"Facts:  Alice is sincere [PERIOD] Alice is good [PERIOD] Alice is pleasant [PERIOD] Alice is powerful [PERIOD]
Rules:
light [AND] spotless [AND] attractive [IMPLY] pleasant [PERIOD]
powerful [IMPLY] pleasant [PERIOD]
light [AND] attractive [IMPLY] alert [PERIOD]
spotless [IMPLY] bossy [PERIOD]
thoughtless [AND] vivacious [IMPLY] good [PERIOD]
pleasant [AND] powerful [IMPLY] scared [PERIOD]
attractive [AND] ambitious [AND] ugly [IMPLY] good [PERIOD]
bossy [AND] messy [IMPLY] pleasant [PERIOD]
thoughtless [IMPLY] powerful [PERIOD]
naughty [IMPLY] helpful [PERIOD]
light [IMPLY] good [PERIOD]
bossy [AND] naughty [AND] alert [IMPLY] adorable [PERIOD]
stormy [IMPLY] ambitious [PERIOD]
jittery [AND] scared [IMPLY] courageous [PERIOD]
scared [AND] thoughtless [IMPLY] vivacious [PERIOD]
bossy [IMPLY] good [PERIOD]
naughty [AND] fancy [AND] vivacious [IMPLY] spotless [PERIOD]
courageous [AND] scared [AND] naughty [IMPLY] good [PERIOD]
naughty [AND] tame [IMPLY] intellectual [PERIOD]
pleasant [AND] good [IMPLY] adorable [PERIOD]
ugly [IMPLY] adorable [PERIOD]
pleasant [AND] courageous [IMPLY] bossy [PERIOD]
helpful [IMPLY] vivacious [PERIOD]
courageous [IMPLY] spotless [PERIOD]
naughty [IMPLY] good [PERIOD]
spotless [AND] thoughtless [AND] ambitious [IMPLY] stormy [PERIOD]
spotless [IMPLY] ambitious [PERIOD]
vivacious [AND] helpful [AND] messy [IMPLY] bossy [PERIOD]
courageous [AND] powerful [IMPLY] jittery [PERIOD]
ugly [AND] thoughtless [AND] spotless [IMPLY] tame [PERIOD]
alert [IMPLY] naughty [PERIOD]
attractive [AND] helpful [IMPLY] scared [PERIOD]
jittery [AND] pleasant [AND] sincere [IMPLY] ugly [PERIOD]
vivacious [AND] naughty [AND] thoughtless [IMPLY] light [PERIOD]
pleasant [IMPLY] fancy [PERIOD]
adorable [IMPLY] vivacious [PERIOD]
good [IMPLY] adorable [PERIOD]
ugly [AND] alert [IMPLY] attractive [PERIOD]
helpful [AND] spotless [AND] good [IMPLY] ugly [PERIOD]
good [AND] alert [IMPLY] naughty [PERIOD]
pleasant [AND] spotless [AND] naughty [IMPLY] good [PERIOD]
light [AND] alert [IMPLY] pleasant [PERIOD]
stormy [AND] intellectual [IMPLY] vivacious [PERIOD]
courageous [AND] light [IMPLY] alert [PERIOD]
tame [AND] courageous [AND] helpful [IMPLY] powerful [PERIOD]
spotless [IMPLY] adorable [PERIOD]
good [IMPLY] spotless [PERIOD]
pleasant [AND] tame [IMPLY] attractive [PERIOD]
vivacious [AND] powerful [IMPLY] ugly [PERIOD]
thoughtless [AND] light [IMPLY] messy [PERIOD]
alert [AND] good [IMPLY] ugly [PERIOD]
attractive [AND] sincere [AND] vivacious [IMPLY] thoughtless [PERIOD]
courageous [AND] naughty [AND] sincere [IMPLY] bossy [PERIOD]
bossy [AND] attractive [IMPLY] courageous [PERIOD]
good [AND] ugly [IMPLY] helpful [PERIOD]
spotless [AND] ambitious [IMPLY] courageous [PERIOD]
sincere [AND] jittery [AND] spotless [IMPLY] stormy [PERIOD]
adorable [AND] attractive [IMPLY] thoughtless [PERIOD]
attractive [AND] messy [AND] spotless [IMPLY] powerful [PERIOD]
courageous [AND] helpful [IMPLY] fancy [PERIOD]
powerful [AND] naughty [IMPLY] spotless [PERIOD]
helpful [AND] vivacious [IMPLY] stormy [PERIOD]
helpful [IMPLY] adorable [PERIOD]
ugly [IMPLY] pleasant [PERIOD]
naughty [IMPLY] ambitious [PERIOD]
jittery [AND] tame [IMPLY] attractive [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   Cannot apply rule “light ∧ attractive ⇒ alert” because missing: light, attractive.
   good ⇒ spotless
   good ⇒ spotless
   spotless ⇒ ambitious
   spotless ∧ ambitious ⇒ courageous
   Cannot apply rule “courageous ∧ light ⇒ alert” because missing: light.
",0,6
"Facts:  Alice is diplomatic [PERIOD] Alice is exuberant [PERIOD] Alice is inquisitive [PERIOD] Alice is blushing [PERIOD] Alice is jittery [PERIOD]
Rules:
blushing [AND] jittery [IMPLY] diplomatic [PERIOD]
silly [AND] diplomatic [AND] pessimistic [IMPLY] ugliest [PERIOD]
proud [AND] jittery [AND] curious [IMPLY] loving [PERIOD]
loving [IMPLY] exuberant [PERIOD]
smart [AND] impatient [IMPLY] loving [PERIOD]
proud [AND] exuberant [IMPLY] pessimistic [PERIOD]
proud [IMPLY] pessimistic [PERIOD]
blushing [AND] jittery [AND] ugliest [IMPLY] inquisitive [PERIOD]
blushing [AND] exuberant [IMPLY] silly [PERIOD]
silly [AND] different [AND] cute [IMPLY] exuberant [PERIOD]
impatient [IMPLY] exuberant [PERIOD]
ugliest [IMPLY] impatient [PERIOD]
inquisitive [IMPLY] silly [PERIOD]
curious [AND] ugliest [AND] smart [IMPLY] jittery [PERIOD]
pessimistic [AND] impatient [IMPLY] diplomatic [PERIOD]
shiny [AND] curious [AND] different [IMPLY] cute [PERIOD]
exuberant [IMPLY] cute [PERIOD]
ugliest [AND] loving [IMPLY] diplomatic [PERIOD]
silly [AND] curious [IMPLY] cute [PERIOD]
exuberant [AND] different [AND] silly [IMPLY] loving [PERIOD]
loving [IMPLY] shiny [PERIOD]
impatient [AND] curious [AND] smart [IMPLY] pessimistic [PERIOD]
exuberant [AND] loving [AND] shiny [IMPLY] curious [PERIOD]
ugliest [AND] smart [IMPLY] blushing [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   Cannot apply rule “proud ∧ jittery ∧ curious ⇒ loving” because missing: proud, curious.
   Cannot apply rule “smart ∧ impatient ⇒ loving” because missing: smart, impatient.
   blushing ∧ exuberant ⇒ silly
   Cannot apply rule “exuberant ∧ different ∧ silly ⇒ loving” because missing: different.
",0,4
"Facts:  Alice is average [PERIOD] Alice is spotless [PERIOD] Alice is straightforward [PERIOD]
Rules:
careless [AND] easy [AND] crowded [IMPLY] smart [PERIOD]
light [IMPLY] average [PERIOD]
agreeable [AND] average [AND] light [IMPLY] easy [PERIOD]
easy [AND] messy [IMPLY] average [PERIOD]
smart [AND] straightforward [AND] agreeable [IMPLY] messy [PERIOD]
crowded [AND] careless [AND] frightened [IMPLY] straightforward [PERIOD]
agreeable [IMPLY] frightened [PERIOD]
hilarious [AND] straightforward [AND] agreeable [IMPLY] average [PERIOD]
light [AND] frightened [AND] smart [IMPLY] exuberant [PERIOD]
hilarious [AND] messy [IMPLY] straightforward [PERIOD]
hilarious [AND] spotless [AND] confident [IMPLY] straightforward [PERIOD]
hilarious [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] smart [PERIOD]
smart [AND] hilarious [AND] frightened [IMPLY] careless [PERIOD]
messy [AND] smart [AND] exuberant [IMPLY] hilarious [PERIOD]
messy [IMPLY] straightforward [PERIOD]
average [AND] careless [AND] easy [IMPLY] messy [PERIOD]
crowded [IMPLY] light [PERIOD]
sincere [AND] straightforward [IMPLY] spotless [PERIOD]
frightened [AND] careless [IMPLY] smart [PERIOD]
agreeable [AND] average [AND] spotless [IMPLY] sincere [PERIOD]
average [AND] careless [AND] sincere [IMPLY] agreeable [PERIOD]
careless [AND] straightforward [IMPLY] smart [PERIOD]
frightened [IMPLY] confident [PERIOD]
sincere [IMPLY] careless [PERIOD]
spotless [IMPLY] frightened [PERIOD]
careless [AND] messy [AND] average [IMPLY] smart [PERIOD]
straightforward [AND] average [IMPLY] spotless [PERIOD]
messy [AND] exuberant [AND] sincere [IMPLY] straightforward [PERIOD]
average [AND] agreeable [IMPLY] exuberant [PERIOD]
hilarious [AND] agreeable [IMPLY] messy [PERIOD]
messy [AND] smart [IMPLY] confident [PERIOD]
easy [AND] crowded [IMPLY] careless [PERIOD]
light [AND] frightened [IMPLY] sincere [PERIOD]
crowded [IMPLY] sincere [PERIOD]
spotless [AND] smart [IMPLY] careless [PERIOD]
careless [AND] confident [IMPLY] smart [PERIOD]
agreeable [IMPLY] average [PERIOD]
messy [IMPLY] confident [PERIOD]
crowded [AND] average [AND] careless [IMPLY] exuberant [PERIOD]
exuberant [AND] agreeable [IMPLY] smart [PERIOD]
crowded [AND] agreeable [IMPLY] frightened [PERIOD]
spotless [IMPLY] easy [PERIOD]
messy [AND] sincere [IMPLY] careless [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   Cannot apply rule “hilarious ⇒ agreeable” because missing: hilarious.
   Cannot apply rule “average ∧ careless ∧ sincere ⇒ agreeable” because missing: careless, sincere.
",0,2
"Facts: 
Rules:
shy [AND] scared [IMPLY] pessimistic [PERIOD]
versatile [AND] excited [AND] gifted [IMPLY] beautiful [PERIOD]
light [AND] scared [IMPLY] beautiful [PERIOD]
curious [IMPLY] impatient [PERIOD]
fearless [IMPLY] condemned [PERIOD]
light [AND] gifted [AND] fearless [IMPLY] inexpensive [PERIOD]
inquisitive [AND] careless [AND] thoughtless [IMPLY] hilarious [PERIOD]
condemned [IMPLY] stubborn [PERIOD]
frightened [AND] hurt [AND] attentive [IMPLY] vivacious [PERIOD]
rude [AND] light [IMPLY] homely [PERIOD]
inquisitive [IMPLY] stubborn [PERIOD]
beautiful [IMPLY] homely [PERIOD]
stubborn [IMPLY] hurt [PERIOD]
frightened [AND] gifted [AND] light [IMPLY] impatient [PERIOD]
confident [IMPLY] gifted [PERIOD]
confident [IMPLY] shy [PERIOD]
confident [AND] zealous [AND] frightened [IMPLY] vivacious [PERIOD]
attentive [AND] stubborn [AND] rude [IMPLY] versatile [PERIOD]
hurt [AND] attractive [AND] confident [IMPLY] careless [PERIOD]
shy [AND] hilarious [AND] zealous [IMPLY] frightened [PERIOD]
pessimistic [AND] frightened [AND] light [IMPLY] attentive [PERIOD]
cruel [IMPLY] condemned [PERIOD]
stubborn [AND] zealous [IMPLY] fearless [PERIOD]
scared [IMPLY] stubborn [PERIOD]
thoughtless [IMPLY] stubborn [PERIOD]
condemned [AND] gifted [IMPLY] frightened [PERIOD]
thoughtless [IMPLY] excited [PERIOD]
excited [AND] curious [AND] cruel [IMPLY] stubborn [PERIOD]
scared [AND] beautiful [AND] pessimistic [IMPLY] inquisitive [PERIOD]
zealous [AND] serious [IMPLY] thoughtless [PERIOD]
gifted [AND] fearless [IMPLY] attentive [PERIOD]
cruel [AND] condemned [AND] zealous [IMPLY] fearless [PERIOD]
rude [AND] condemned [IMPLY] cruel [PERIOD]
condemned [AND] homely [IMPLY] beautiful [PERIOD]
inquisitive [AND] hilarious [AND] scared [IMPLY] zealous [PERIOD]
inquisitive [AND] attentive [AND] zealous [IMPLY] shy [PERIOD]
rude [IMPLY] pessimistic [PERIOD]
scared [AND] confident [IMPLY] pessimistic [PERIOD]
condemned [AND] rude [IMPLY] attentive [PERIOD]
pessimistic [AND] beautiful [IMPLY] careless [PERIOD]
hurt [IMPLY] light [PERIOD]
hilarious [AND] serious [AND] cruel [IMPLY] excited [PERIOD]
zealous [AND] hilarious [IMPLY] impatient [PERIOD]
scared [AND] stubborn [AND] frightened [IMPLY] fearless [PERIOD]
hurt [AND] homely [AND] impatient [IMPLY] stubborn [PERIOD]
stubborn [AND] hurt [AND] vivacious [IMPLY] serious [PERIOD]
cruel [AND] condemned [AND] shy [IMPLY] careless [PERIOD]
hurt [AND] impatient [AND] cruel [IMPLY] gifted [PERIOD]
inquisitive [IMPLY] scared [PERIOD]
homely [IMPLY] excited [PERIOD]
fearless [AND] light [IMPLY] zealous [PERIOD]
homely [AND] curious [IMPLY] confident [PERIOD]
confident [AND] frightened [AND] attentive [IMPLY] vivacious [PERIOD]
versatile [AND] zealous [AND] pessimistic [IMPLY] homely [PERIOD]
vivacious [AND] fearless [AND] hurt [IMPLY] cruel [PERIOD]
versatile [AND] fearless [IMPLY] inquisitive [PERIOD]
attentive [IMPLY] hurt [PERIOD]
thoughtless [AND] careless [IMPLY] inexpensive [PERIOD]
light [IMPLY] homely [PERIOD]
vivacious [AND] beautiful [IMPLY] rude [PERIOD]
condemned [IMPLY] light [PERIOD]
versatile [AND] vivacious [IMPLY] excited [PERIOD]
stubborn [AND] inquisitive [IMPLY] excited [PERIOD]
condemned [AND] versatile [AND] inquisitive [IMPLY] beautiful [PERIOD]
excited [AND] frightened [IMPLY] serious [PERIOD]
hilarious [AND] cruel [IMPLY] excited [PERIOD]
excited [AND] serious [IMPLY] cruel [PERIOD]
shy [AND] condemned [AND] excited [IMPLY] frightened [PERIOD]
curious [AND] hilarious [IMPLY] shy [PERIOD]
confident [AND] homely [AND] condemned [IMPLY] fearless [PERIOD]
scared [AND] serious [AND] fearless [IMPLY] frightened [PERIOD]
cruel [AND] light [IMPLY] serious [PERIOD]
pessimistic [AND] thoughtless [IMPLY] impatient [PERIOD]
attentive [IMPLY] beautiful [PERIOD]
curious [AND] frightened [AND] thoughtless [IMPLY] attentive [PERIOD]
serious [AND] light [IMPLY] confident [PERIOD]
zealous [AND] inquisitive [AND] attentive [IMPLY] thoughtless [PERIOD]
homely [AND] hilarious [AND] attentive [IMPLY] confident [PERIOD]
scared [AND] impatient [AND] stubborn [IMPLY] serious [PERIOD]
rude [IMPLY] versatile [PERIOD]
inquisitive [IMPLY] careless [PERIOD]
light [AND] gifted [IMPLY] frightened [PERIOD]
gifted [IMPLY] inquisitive [PERIOD]
inquisitive [AND] fearless [IMPLY] confident [PERIOD]
light [AND] confident [IMPLY] inexpensive [PERIOD]
thoughtless [AND] condemned [IMPLY] attractive [PERIOD]
attractive [AND] hilarious [AND] careless [IMPLY] gifted [PERIOD]
gifted [AND] attractive [AND] impatient [IMPLY] careless [PERIOD]
vivacious [IMPLY] zealous [PERIOD]
fearless [AND] inquisitive [AND] scared [IMPLY] zealous [PERIOD]
impatient [AND] fearless [AND] hurt [IMPLY] attractive [PERIOD]
beautiful [AND] versatile [IMPLY] inquisitive [PERIOD]
impatient [AND] zealous [IMPLY] serious [PERIOD]
excited [IMPLY] attractive [PERIOD]
hilarious [AND] light [AND] condemned [IMPLY] excited [PERIOD]
inexpensive [IMPLY] cruel [PERIOD]
cruel [IMPLY] impatient [PERIOD]
attractive [AND] cruel [IMPLY] thoughtless [PERIOD]
frightened [AND] zealous [IMPLY] stubborn [PERIOD]
hilarious [AND] pessimistic [IMPLY] thoughtless [PERIOD]
homely [IMPLY] curious [PERIOD]
beautiful [AND] light [AND] stubborn [IMPLY] frightened [PERIOD]
beautiful [IMPLY] fearless [PERIOD]
confident [IMPLY] serious [PERIOD]
attentive [IMPLY] versatile [PERIOD]
hurt [AND] shy [AND] versatile [IMPLY] zealous [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   Cannot apply rule “thoughtless ⇒ excited” because missing: thoughtless.
   Cannot apply rule “hilarious ∧ serious ∧ cruel ⇒ excited” because missing: hilarious, serious, cruel.
   Cannot apply rule “homely ⇒ excited” because missing: homely.
   Cannot apply rule “versatile ∧ vivacious ⇒ excited” because missing: versatile, vivacious.
   Cannot apply rule “stubborn ∧ inquisitive ⇒ excited” because missing: stubborn, inquisitive.
   Cannot apply rule “hilarious ∧ cruel ⇒ excited” because missing: hilarious, cruel.
   Cannot apply rule “hilarious ∧ light ∧ condemned ⇒ excited” because missing: hilarious, light, condemned.
",0,7
"Facts:  Alice is troubled [PERIOD] Alice is difficult [PERIOD] Alice is thoughtful [PERIOD] Alice is modern [PERIOD] Alice is busy [PERIOD] Alice is blushing [PERIOD] Alice is lucky [PERIOD] Alice is loving [PERIOD] Alice is bored [PERIOD] Alice is sensible [PERIOD] Alice is homely [PERIOD] Alice is wrong [PERIOD]
Rules:
thoughtful [AND] dishonest [AND] wandering [IMPLY] cooperative [PERIOD]
crowded [AND] dishonest [IMPLY] cooperative [PERIOD]
troubled [AND] wrong [AND] cooperative [IMPLY] inquisitive [PERIOD]
messy [AND] bored [IMPLY] difficult [PERIOD]
messy [AND] intellectual [IMPLY] lucky [PERIOD]
difficult [AND] troubled [AND] worrisome [IMPLY] condemned [PERIOD]
unpleasant [IMPLY] dishonest [PERIOD]
dishonest [AND] enchanting [IMPLY] talented [PERIOD]
thoughtful [AND] modern [IMPLY] sensible [PERIOD]
bored [AND] talented [IMPLY] enchanting [PERIOD]
crowded [AND] sensible [IMPLY] difficult [PERIOD]
loving [AND] sensible [AND] troubled [IMPLY] inquisitive [PERIOD]
bored [AND] blushing [AND] worrisome [IMPLY] loving [PERIOD]
condemned [IMPLY] blushing [PERIOD]
condemned [IMPLY] wrong [PERIOD]
troubled [AND] worrisome [AND] bored [IMPLY] homely [PERIOD]
worrisome [IMPLY] frail [PERIOD]
wandering [IMPLY] enchanting [PERIOD]
troubled [AND] blushing [IMPLY] dishonest [PERIOD]
condemned [AND] loving [IMPLY] inquisitive [PERIOD]
enchanting [IMPLY] busy [PERIOD]
busy [AND] homely [AND] talented [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] crowded [PERIOD]
troubled [IMPLY] crowded [PERIOD]
busy [AND] bored [AND] messy [IMPLY] frail [PERIOD]
sensible [AND] difficult [IMPLY] crowded [PERIOD]
messy [AND] troubled [AND] bored [IMPLY] talented [PERIOD]
inquisitive [IMPLY] frail [PERIOD]
condemned [IMPLY] unpleasant [PERIOD]
inquisitive [AND] homely [IMPLY] talented [PERIOD]
sensible [IMPLY] loving [PERIOD]
intellectual [IMPLY] wrong [PERIOD]
messy [AND] wrong [IMPLY] blushing [PERIOD]
worrisome [AND] blushing [IMPLY] troubled [PERIOD]
messy [AND] talented [IMPLY] dishonest [PERIOD]
cooperative [IMPLY] unpleasant [PERIOD]
lucky [AND] sensible [AND] frail [IMPLY] crowded [PERIOD]
enchanting [AND] busy [AND] frail [IMPLY] wandering [PERIOD]
condemned [IMPLY] lucky [PERIOD]
intellectual [IMPLY] inquisitive [PERIOD]
sensible [AND] cute [AND] frail [IMPLY] enchanting [PERIOD]
cute [IMPLY] difficult [PERIOD]
crowded [IMPLY] wrong [PERIOD]
blushing [AND] troubled [AND] enchanting [IMPLY] inquisitive [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   sensible ∧ difficult ⇒ crowded
   troubled ∧ blushing ⇒ dishonest
   crowded ∧ dishonest ⇒ cooperative
",1,3
"Facts:  Alice is curious [PERIOD]
Rules:
curious [AND] talented [AND] precious [IMPLY] cooperative [PERIOD]
precious [AND] curious [AND] cooperative [IMPLY] gleaming [PERIOD]
curious [IMPLY] talented [PERIOD]
precious [AND] talented [AND] cooperative [IMPLY] curious [PERIOD]
gleaming [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] precious [PERIOD]
curious [AND] cooperative [AND] talented [IMPLY] gleaming [PERIOD]
curious [AND] precious [IMPLY] cooperative [PERIOD]
talented [IMPLY] gleaming [PERIOD]
gleaming [AND] cooperative [IMPLY] talented [PERIOD]
cooperative [AND] gleaming [IMPLY] precious [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
   curious ⇒ talented
   talented ⇒ gleaming
   gleaming ⇒ cooperative
   cooperative ⇒ precious
",1,4
"Facts:  Alice is victorious [PERIOD] Alice is hurt [PERIOD] Alice is loving [PERIOD] Alice is stupid [PERIOD] Alice is plain [PERIOD] Alice is tame [PERIOD] Alice is thoughtful [PERIOD]
Rules:
popular [AND] modern [IMPLY] gifted [PERIOD]
clumsy [AND] long [IMPLY] tame [PERIOD]
cruel [AND] frail [IMPLY] smart [PERIOD]
spotless [AND] plain [IMPLY] clumsy [PERIOD]
alert [IMPLY] diplomatic [PERIOD]
stupid [IMPLY] modern [PERIOD]
victorious [IMPLY] dishonest [PERIOD]
calm [AND] tame [AND] stupid [IMPLY] loving [PERIOD]
fearless [IMPLY] muddy [PERIOD]
calm [IMPLY] spotless [PERIOD]
diplomatic [IMPLY] hurt [PERIOD]
dishonest [AND] stupid [AND] hurt [IMPLY] agreeable [PERIOD]
modern [IMPLY] thoughtful [PERIOD]
dishonest [AND] muddy [AND] calm [IMPLY] smart [PERIOD]
clumsy [AND] dishonest [AND] spotless [IMPLY] diplomatic [PERIOD]
stupid [AND] victorious [AND] spotless [IMPLY] popular [PERIOD]
victorious [AND] loving [IMPLY] frail [PERIOD]
dishonest [AND] long [AND] fearless [IMPLY] spotless [PERIOD]
uptight [AND] alert [IMPLY] long [PERIOD]
plain [AND] spotless [IMPLY] cruel [PERIOD]
clumsy [AND] popular [AND] calm [IMPLY] tame [PERIOD]
cruel [AND] fearless [IMPLY] curious [PERIOD]
popular [AND] dishonest [IMPLY] uptight [PERIOD]
uptight [AND] victorious [IMPLY] long [PERIOD]
cruel [IMPLY] thoughtful [PERIOD]
modern [IMPLY] agreeable [PERIOD]
tame [AND] fine [AND] curious [IMPLY] smart [PERIOD]
frail [AND] uptight [IMPLY] alert [PERIOD]
thoughtful [AND] clumsy [IMPLY] modern [PERIOD]
spotless [AND] frail [IMPLY] loving [PERIOD]
fearless [IMPLY] bad-tempered [PERIOD]
tame [IMPLY] long [PERIOD]
long [IMPLY] victorious [PERIOD]
fearless [AND] loving [AND] diplomatic [IMPLY] muddy [PERIOD]
fine [IMPLY] frail [PERIOD]
curious [AND] tame [AND] fearless [IMPLY] gifted [PERIOD]
fearless [IMPLY] gifted [PERIOD]
modern [IMPLY] fearless [PERIOD]
cruel [AND] hurt [IMPLY] uptight [PERIOD]
plain [AND] spotless [AND] fearless [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] bad-tempered [PERIOD]
long [AND] loving [AND] diplomatic [IMPLY] agreeable [PERIOD]
tame [AND] calm [AND] clumsy [IMPLY] long [PERIOD]
modern [AND] clumsy [AND] gifted [IMPLY] victorious [PERIOD]
uptight [AND] hurt [IMPLY] calm [PERIOD]
modern [IMPLY] uptight [PERIOD]
muddy [AND] stupid [IMPLY] gifted [PERIOD]
victorious [IMPLY] fearless [PERIOD]
muddy [IMPLY] clumsy [PERIOD]
popular [AND] cruel [IMPLY] alert [PERIOD]
victorious [AND] smart [AND] frail [IMPLY] long [PERIOD]
long [AND] popular [AND] plain [IMPLY] diplomatic [PERIOD]
frail [AND] uptight [IMPLY] fine [PERIOD]
long [AND] loving [IMPLY] clumsy [PERIOD]
smart [AND] plain [IMPLY] loving [PERIOD]
victorious [AND] long [AND] gifted [IMPLY] hurt [PERIOD]
long [AND] victorious [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] smart [PERIOD]
dishonest [AND] plain [IMPLY] spotless [PERIOD]
gifted [AND] clumsy [AND] diplomatic [IMPLY] tame [PERIOD]
thoughtful [AND] plain [IMPLY] spotless [PERIOD]
spotless [IMPLY] uptight [PERIOD]
clumsy [AND] dishonest [IMPLY] muddy [PERIOD]
calm [IMPLY] victorious [PERIOD]
hurt [AND] diplomatic [AND] alert [IMPLY] fine [PERIOD]
thoughtful [AND] calm [IMPLY] plain [PERIOD]
muddy [AND] curious [AND] long [IMPLY] bad-tempered [PERIOD]
thoughtful [IMPLY] victorious [PERIOD]
loving [AND] alert [AND] hurt [IMPLY] cruel [PERIOD]
modern [IMPLY] tame [PERIOD]
loving [AND] cruel [IMPLY] frail [PERIOD]
uptight [IMPLY] fine [PERIOD]
thoughtful [AND] tame [AND] bad-tempered [IMPLY] loving [PERIOD]
dishonest [AND] long [IMPLY] uptight [PERIOD]
frail [AND] calm [AND] agreeable [IMPLY] thoughtful [PERIOD]
fearless [AND] curious [AND] alert [IMPLY] plain [PERIOD]
tame [AND] calm [AND] agreeable [IMPLY] dishonest [PERIOD]
frail [IMPLY] uptight [PERIOD]
cruel [AND] curious [AND] dishonest [IMPLY] frail [PERIOD]
bad-tempered [IMPLY] smart [PERIOD]
popular [AND] loving [IMPLY] calm [PERIOD]
diplomatic [AND] fine [IMPLY] stupid [PERIOD]
cruel [AND] gifted [AND] frail [IMPLY] thoughtful [PERIOD]
fearless [AND] frail [IMPLY] agreeable [PERIOD]
tame [AND] plain [AND] alert [IMPLY] hurt [PERIOD]
spotless [IMPLY] hurt [PERIOD]
popular [AND] fearless [IMPLY] hurt [PERIOD]
thoughtful [IMPLY] stupid [PERIOD]
diplomatic [AND] clumsy [IMPLY] dishonest [PERIOD]
stupid [AND] popular [IMPLY] spotless [PERIOD]
alert [AND] popular [AND] victorious [IMPLY] clumsy [PERIOD]
calm [IMPLY] diplomatic [PERIOD]
plain [AND] spotless [AND] modern [IMPLY] tame [PERIOD]
tame [AND] hurt [IMPLY] popular [PERIOD]
cruel [IMPLY] tame [PERIOD]
cruel [AND] dishonest [AND] alert [IMPLY] gifted [PERIOD]
smart [AND] bad-tempered [IMPLY] victorious [PERIOD]
bad-tempered [AND] cruel [AND] fine [IMPLY] modern [PERIOD]
clumsy [AND] fearless [AND] stupid [IMPLY] gifted [PERIOD]
thoughtful [IMPLY] loving [PERIOD]
gifted [AND] thoughtful [IMPLY] curious [PERIOD]
Query: Alice is modern [PERIOD]","Proof chain:
   stupid ⇒ modern
",1,1
"Facts: 
Rules:
sincere [AND] shiny [IMPLY] uptight [PERIOD]
ambitious [AND] troubled [AND] sincere [IMPLY] attentive [PERIOD]
calm [AND] troubled [IMPLY] selfish [PERIOD]
shiny [AND] uptight [IMPLY] troubled [PERIOD]
selfish [AND] sincere [AND] comfortable [IMPLY] shiny [PERIOD]
attentive [IMPLY] sincere [PERIOD]
selfish [AND] zealous [IMPLY] troubled [PERIOD]
zealous [IMPLY] shiny [PERIOD]
ambitious [IMPLY] attentive [PERIOD]
troubled [AND] comfortable [IMPLY] sincere [PERIOD]
shiny [AND] calm [AND] uptight [IMPLY] selfish [PERIOD]
sincere [AND] troubled [IMPLY] selfish [PERIOD]
thoughtful [IMPLY] zealous [PERIOD]
thoughtful [IMPLY] ambitious [PERIOD]
ambitious [AND] troubled [AND] shiny [IMPLY] sincere [PERIOD]
selfish [AND] shiny [AND] uptight [IMPLY] sincere [PERIOD]
comfortable [AND] attentive [AND] calm [IMPLY] troubled [PERIOD]
shiny [AND] comfortable [IMPLY] sincere [PERIOD]
calm [AND] attentive [IMPLY] comfortable [PERIOD]
sincere [AND] uptight [IMPLY] attentive [PERIOD]
uptight [IMPLY] sincere [PERIOD]
selfish [AND] uptight [IMPLY] zealous [PERIOD]
sincere [AND] thoughtful [AND] comfortable [IMPLY] selfish [PERIOD]
calm [AND] comfortable [IMPLY] troubled [PERIOD]
ambitious [AND] sincere [AND] zealous [IMPLY] attentive [PERIOD]
selfish [AND] sincere [AND] ambitious [IMPLY] uptight [PERIOD]
uptight [AND] zealous [AND] selfish [IMPLY] comfortable [PERIOD]
zealous [AND] ambitious [AND] selfish [IMPLY] troubled [PERIOD]
comfortable [AND] sincere [IMPLY] zealous [PERIOD]
thoughtful [IMPLY] sincere [PERIOD]
shiny [IMPLY] ambitious [PERIOD]
attentive [AND] comfortable [AND] calm [IMPLY] thoughtful [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   Cannot apply rule “shiny ∧ uptight ⇒ troubled” because missing: shiny, uptight.
   Cannot apply rule “selfish ∧ zealous ⇒ troubled” because missing: selfish, zealous.
   Cannot apply rule “comfortable ∧ attentive ∧ calm ⇒ troubled” because missing: comfortable, attentive, calm.
   Cannot apply rule “calm ∧ comfortable ⇒ troubled” because missing: calm, comfortable.
   Cannot apply rule “zealous ∧ ambitious ∧ selfish ⇒ troubled” because missing: zealous, ambitious, selfish.
",0,5
"Facts: 
Rules:
smart [AND] sensible [AND] reserved [IMPLY] exuberant [PERIOD]
talkative [IMPLY] fancy [PERIOD]
dull [AND] exuberant [AND] famous [IMPLY] talkative [PERIOD]
talkative [AND] old-fashioned [AND] cruel [IMPLY] dull [PERIOD]
talkative [AND] clean [IMPLY] frightened [PERIOD]
intellectual [AND] exuberant [AND] ambitious [IMPLY] clean [PERIOD]
exuberant [AND] reserved [IMPLY] hypocritical [PERIOD]
elegant [AND] reserved [IMPLY] dull [PERIOD]
adorable [AND] smart [IMPLY] sensible [PERIOD]
agreeable [AND] frightened [AND] zealous [IMPLY] dull [PERIOD]
agreeable [AND] frightened [IMPLY] hypocritical [PERIOD]
shy [IMPLY] impartial [PERIOD]
talkative [AND] courageous [IMPLY] clean [PERIOD]
messy [IMPLY] talkative [PERIOD]
attentive [IMPLY] cruel [PERIOD]
adorable [AND] famous [IMPLY] serious [PERIOD]
dull [AND] charming [IMPLY] fearless [PERIOD]
serious [IMPLY] fancy [PERIOD]
reserved [AND] sensible [AND] stupid [IMPLY] serious [PERIOD]
shy [AND] clean [AND] exuberant [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] zealous [PERIOD]
serious [AND] attentive [AND] intellectual [IMPLY] reserved [PERIOD]
attentive [AND] messy [AND] reserved [IMPLY] impartial [PERIOD]
serious [AND] smart [AND] impartial [IMPLY] agreeable [PERIOD]
serious [AND] ambitious [AND] exuberant [IMPLY] reserved [PERIOD]
adorable [AND] clean [AND] famous [IMPLY] talkative [PERIOD]
frightened [AND] attentive [AND] adorable [IMPLY] elegant [PERIOD]
frightened [IMPLY] charming [PERIOD]
attentive [AND] impartial [AND] courageous [IMPLY] adorable [PERIOD]
frightened [IMPLY] reserved [PERIOD]
shy [AND] zealous [IMPLY] hypocritical [PERIOD]
ambitious [AND] zealous [IMPLY] smart [PERIOD]
frightened [AND] attentive [AND] talkative [IMPLY] fancy [PERIOD]
charming [IMPLY] courageous [PERIOD]
famous [AND] exuberant [AND] fragile [IMPLY] fearless [PERIOD]
smart [AND] messy [AND] zealous [IMPLY] elegant [PERIOD]
smart [IMPLY] reserved [PERIOD]
talkative [IMPLY] adorable [PERIOD]
frightened [AND] hypocritical [IMPLY] attentive [PERIOD]
adorable [AND] fragile [IMPLY] talkative [PERIOD]
messy [IMPLY] serious [PERIOD]
fragile [AND] fearless [AND] charming [IMPLY] stupid [PERIOD]
clean [IMPLY] exuberant [PERIOD]
courageous [AND] charming [AND] agreeable [IMPLY] shy [PERIOD]
ambitious [IMPLY] frightened [PERIOD]
messy [AND] fragile [AND] frightened [IMPLY] intellectual [PERIOD]
fragile [AND] dull [IMPLY] famous [PERIOD]
fragile [AND] adorable [AND] frightened [IMPLY] talkative [PERIOD]
hypocritical [AND] famous [AND] fancy [IMPLY] messy [PERIOD]
hypocritical [AND] smart [AND] fancy [IMPLY] adorable [PERIOD]
zealous [AND] attentive [AND] frightened [IMPLY] impartial [PERIOD]
stupid [AND] old-fashioned [AND] intellectual [IMPLY] zealous [PERIOD]
smart [AND] messy [IMPLY] old-fashioned [PERIOD]
attentive [IMPLY] impartial [PERIOD]
cruel [AND] clean [AND] smart [IMPLY] ambitious [PERIOD]
agreeable [AND] famous [AND] hypocritical [IMPLY] ambitious [PERIOD]
reserved [AND] exuberant [AND] elegant [IMPLY] courageous [PERIOD]
messy [IMPLY] fancy [PERIOD]
shy [IMPLY] agreeable [PERIOD]
exuberant [AND] ambitious [IMPLY] attentive [PERIOD]
talkative [IMPLY] famous [PERIOD]
elegant [AND] famous [AND] frightened [IMPLY] fearless [PERIOD]
exuberant [AND] impartial [AND] zealous [IMPLY] sensible [PERIOD]
zealous [AND] hypocritical [AND] talkative [IMPLY] serious [PERIOD]
reserved [AND] charming [AND] messy [IMPLY] smart [PERIOD]
hypocritical [AND] sensible [IMPLY] fragile [PERIOD]
ambitious [AND] sensible [AND] exuberant [IMPLY] famous [PERIOD]
messy [AND] serious [IMPLY] adorable [PERIOD]
stupid [AND] adorable [IMPLY] impartial [PERIOD]
courageous [IMPLY] attentive [PERIOD]
hypocritical [IMPLY] impartial [PERIOD]
dull [IMPLY] impartial [PERIOD]
exuberant [AND] clean [IMPLY] dull [PERIOD]
attentive [IMPLY] serious [PERIOD]
fragile [AND] courageous [IMPLY] messy [PERIOD]
agreeable [AND] adorable [IMPLY] messy [PERIOD]
ambitious [AND] serious [IMPLY] smart [PERIOD]
ambitious [IMPLY] fearless [PERIOD]
stupid [IMPLY] elegant [PERIOD]
zealous [IMPLY] smart [PERIOD]
intellectual [IMPLY] messy [PERIOD]
frightened [AND] hypocritical [IMPLY] fragile [PERIOD]
charming [AND] serious [AND] elegant [IMPLY] old-fashioned [PERIOD]
impartial [IMPLY] reserved [PERIOD]
charming [AND] hypocritical [IMPLY] smart [PERIOD]
dull [AND] smart [IMPLY] courageous [PERIOD]
agreeable [AND] famous [AND] hypocritical [IMPLY] stupid [PERIOD]
impartial [IMPLY] cruel [PERIOD]
sensible [AND] dull [IMPLY] clean [PERIOD]
fearless [AND] ambitious [IMPLY] stupid [PERIOD]
messy [AND] zealous [AND] serious [IMPLY] intellectual [PERIOD]
frightened [AND] agreeable [AND] talkative [IMPLY] cruel [PERIOD]
agreeable [AND] charming [AND] sensible [IMPLY] zealous [PERIOD]
fancy [AND] impartial [IMPLY] messy [PERIOD]
courageous [AND] ambitious [IMPLY] cruel [PERIOD]
zealous [AND] serious [IMPLY] reserved [PERIOD]
fancy [IMPLY] attentive [PERIOD]
elegant [IMPLY] talkative [PERIOD]
reserved [IMPLY] talkative [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   Cannot apply rule “shy ⇒ impartial” because missing: shy.
   Cannot apply rule “attentive ∧ messy ∧ reserved ⇒ impartial” because missing: attentive, messy, reserved.
   Cannot apply rule “zealous ∧ attentive ∧ frightened ⇒ impartial” because missing: zealous, attentive, frightened.
   Cannot apply rule “attentive ⇒ impartial” because missing: attentive.
   Cannot apply rule “stupid ∧ adorable ⇒ impartial” because missing: stupid, adorable.
   Cannot apply rule “hypocritical ⇒ impartial” because missing: hypocritical.
   Cannot apply rule “dull ⇒ impartial” because missing: dull.
",0,7
"Facts:  Alice is tame [PERIOD] Alice is blushing [PERIOD] Alice is sleepy [PERIOD] Alice is stupid [PERIOD] Alice is precious [PERIOD] Alice is careless [PERIOD] Alice is attractive [PERIOD]
Rules:
stupid [AND] attractive [IMPLY] nervous [PERIOD]
precious [IMPLY] stupid [PERIOD]
precious [IMPLY] sleepy [PERIOD]
exuberant [IMPLY] precious [PERIOD]
tame [AND] sleepy [AND] elegant [IMPLY] perfect [PERIOD]
attractive [IMPLY] confident [PERIOD]
nervous [IMPLY] confident [PERIOD]
rude [IMPLY] precious [PERIOD]
stupid [AND] precious [AND] sleepy [IMPLY] cute [PERIOD]
attractive [IMPLY] sleepy [PERIOD]
attractive [IMPLY] precious [PERIOD]
confident [AND] pessimistic [IMPLY] attractive [PERIOD]
confident [AND] nervous [IMPLY] rude [PERIOD]
confident [IMPLY] tame [PERIOD]
blushing [IMPLY] exuberant [PERIOD]
nervous [IMPLY] elegant [PERIOD]
confident [AND] worrisome [IMPLY] rude [PERIOD]
careless [IMPLY] exuberant [PERIOD]
rude [AND] worrisome [AND] tame [IMPLY] blushing [PERIOD]
tame [AND] precious [IMPLY] blushing [PERIOD]
sleepy [AND] careless [AND] blushing [IMPLY] confident [PERIOD]
precious [AND] tame [AND] careless [IMPLY] blushing [PERIOD]
cute [AND] nervous [IMPLY] perfect [PERIOD]
attractive [AND] confident [IMPLY] elegant [PERIOD]
rude [IMPLY] sleepy [PERIOD]
worrisome [AND] confident [AND] tame [IMPLY] nervous [PERIOD]
perfect [IMPLY] confident [PERIOD]
tame [AND] confident [IMPLY] blushing [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   stupid ∧ precious ∧ sleepy ⇒ cute
",1,1
"Facts:  Alice is frightened [PERIOD] Alice is victorious [PERIOD] Alice is bored [PERIOD]
Rules:
victorious [IMPLY] disgusted [PERIOD]
frightened [AND] blushing [AND] bossy [IMPLY] naughty [PERIOD]
bored [IMPLY] victorious [PERIOD]
calm [AND] frightened [AND] blushing [IMPLY] naughty [PERIOD]
shy [AND] blushing [IMPLY] victorious [PERIOD]
calm [AND] bossy [AND] disgusted [IMPLY] victorious [PERIOD]
shy [AND] bored [AND] victorious [IMPLY] blushing [PERIOD]
disgusted [AND] naughty [AND] blushing [IMPLY] mean [PERIOD]
victorious [AND] shy [AND] bored [IMPLY] frightened [PERIOD]
blushing [AND] naughty [IMPLY] victorious [PERIOD]
victorious [AND] mean [AND] disgusted [IMPLY] shy [PERIOD]
bored [AND] blushing [IMPLY] victorious [PERIOD]
disgusted [AND] bored [IMPLY] calm [PERIOD]
victorious [IMPLY] frightened [PERIOD]
disgusted [AND] frightened [AND] victorious [IMPLY] bossy [PERIOD]
naughty [AND] shy [IMPLY] disgusted [PERIOD]
bossy [AND] frightened [AND] naughty [IMPLY] victorious [PERIOD]
frightened [IMPLY] naughty [PERIOD]
calm [IMPLY] shy [PERIOD]
blushing [IMPLY] calm [PERIOD]
disgusted [IMPLY] shy [PERIOD]
naughty [AND] victorious [IMPLY] blushing [PERIOD]
victorious [AND] frightened [IMPLY] blushing [PERIOD]
frightened [IMPLY] calm [PERIOD]
shy [AND] disgusted [AND] calm [IMPLY] blushing [PERIOD]
blushing [AND] shy [IMPLY] bored [PERIOD]
bossy [AND] victorious [IMPLY] mean [PERIOD]
victorious [AND] shy [AND] blushing [IMPLY] bossy [PERIOD]
naughty [AND] shy [IMPLY] calm [PERIOD]
disgusted [AND] frightened [IMPLY] calm [PERIOD]
bored [IMPLY] disgusted [PERIOD]
mean [AND] disgusted [AND] bored [IMPLY] calm [PERIOD]
shy [IMPLY] naughty [PERIOD]
blushing [AND] shy [AND] bossy [IMPLY] victorious [PERIOD]
bored [AND] frightened [IMPLY] mean [PERIOD]
naughty [IMPLY] disgusted [PERIOD]
bored [AND] victorious [IMPLY] naughty [PERIOD]
frightened [AND] victorious [AND] blushing [IMPLY] bored [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is foolish [PERIOD] Alice is worried [PERIOD] Alice is pessimistic [PERIOD] Alice is serious [PERIOD] Alice is broad-minded [PERIOD] Alice is muddy [PERIOD] Alice is calm [PERIOD] Alice is busy [PERIOD] Alice is inexpensive [PERIOD] Alice is fearless [PERIOD] Alice is alert [PERIOD]
Rules:
muddy [IMPLY] alert [PERIOD]
pessimistic [AND] broad-minded [AND] worried [IMPLY] busy [PERIOD]
inexpensive [IMPLY] pessimistic [PERIOD]
inexpensive [IMPLY] alert [PERIOD]
worried [AND] serious [AND] muddy [IMPLY] fearless [PERIOD]
broad-minded [AND] muddy [IMPLY] busy [PERIOD]
muddy [AND] busy [IMPLY] alert [PERIOD]
muddy [AND] calm [IMPLY] alert [PERIOD]
serious [AND] pessimistic [IMPLY] inexpensive [PERIOD]
pessimistic [AND] busy [AND] inexpensive [IMPLY] broad-minded [PERIOD]
fearless [AND] inexpensive [IMPLY] serious [PERIOD]
fearless [AND] calm [AND] pessimistic [IMPLY] serious [PERIOD]
busy [AND] fearless [IMPLY] worried [PERIOD]
calm [AND] busy [AND] inexpensive [IMPLY] worried [PERIOD]
inexpensive [AND] worried [AND] muddy [IMPLY] foolish [PERIOD]
inexpensive [AND] fearless [IMPLY] pessimistic [PERIOD]
pessimistic [AND] worried [AND] foolish [IMPLY] busy [PERIOD]
broad-minded [AND] worried [AND] serious [IMPLY] busy [PERIOD]
busy [AND] muddy [AND] serious [IMPLY] fearless [PERIOD]
foolish [IMPLY] calm [PERIOD]
busy [IMPLY] alert [PERIOD]
inexpensive [AND] pessimistic [AND] foolish [IMPLY] worried [PERIOD]
fearless [IMPLY] foolish [PERIOD]
alert [AND] pessimistic [AND] serious [IMPLY] busy [PERIOD]
fearless [AND] alert [IMPLY] pessimistic [PERIOD]
fearless [AND] muddy [AND] alert [IMPLY] foolish [PERIOD]
pessimistic [IMPLY] worried [PERIOD]
pessimistic [AND] serious [AND] foolish [IMPLY] alert [PERIOD]
inexpensive [IMPLY] fearless [PERIOD]
busy [AND] inexpensive [IMPLY] foolish [PERIOD]
busy [AND] worried [AND] inexpensive [IMPLY] fearless [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is curious [PERIOD] Alice is elegant [PERIOD] Alice is witty [PERIOD] Alice is foolish [PERIOD] Alice is tired [PERIOD] Alice is zealous [PERIOD] Alice is difficult [PERIOD] Alice is attractive [PERIOD] Alice is fragile [PERIOD]
Rules:
curious [AND] straightforward [IMPLY] witty [PERIOD]
witty [AND] clean [AND] fragile [IMPLY] elegant [PERIOD]
bright [AND] foolish [AND] curious [IMPLY] clean [PERIOD]
elegant [AND] foolish [AND] straightforward [IMPLY] witty [PERIOD]
zealous [AND] curious [IMPLY] clean [PERIOD]
elegant [IMPLY] witty [PERIOD]
straightforward [AND] easy [AND] difficult [IMPLY] tired [PERIOD]
tired [IMPLY] bright [PERIOD]
foolish [IMPLY] bright [PERIOD]
fragile [AND] bright [AND] easy [IMPLY] straightforward [PERIOD]
difficult [AND] clean [AND] tired [IMPLY] straightforward [PERIOD]
attractive [IMPLY] curious [PERIOD]
curious [IMPLY] difficult [PERIOD]
fragile [IMPLY] witty [PERIOD]
curious [AND] foolish [IMPLY] zealous [PERIOD]
curious [AND] difficult [AND] fragile [IMPLY] straightforward [PERIOD]
easy [AND] attractive [IMPLY] clean [PERIOD]
difficult [AND] tired [IMPLY] zealous [PERIOD]
curious [AND] difficult [AND] tired [IMPLY] attractive [PERIOD]
clean [IMPLY] attractive [PERIOD]
difficult [AND] zealous [IMPLY] attractive [PERIOD]
fragile [IMPLY] difficult [PERIOD]
attractive [AND] witty [AND] foolish [IMPLY] curious [PERIOD]
difficult [AND] witty [AND] foolish [IMPLY] curious [PERIOD]
clean [AND] bright [IMPLY] attractive [PERIOD]
curious [AND] clean [AND] fragile [IMPLY] straightforward [PERIOD]
witty [AND] attractive [IMPLY] elegant [PERIOD]
foolish [IMPLY] attractive [PERIOD]
fragile [AND] witty [AND] curious [IMPLY] straightforward [PERIOD]
difficult [AND] easy [AND] witty [IMPLY] zealous [PERIOD]
attractive [IMPLY] foolish [PERIOD]
zealous [IMPLY] easy [PERIOD]
straightforward [IMPLY] tired [PERIOD]
easy [AND] fragile [IMPLY] clean [PERIOD]
bright [AND] curious [AND] zealous [IMPLY] fragile [PERIOD]
elegant [IMPLY] easy [PERIOD]
tired [AND] clean [IMPLY] straightforward [PERIOD]
bright [AND] clean [AND] easy [IMPLY] attractive [PERIOD]
elegant [AND] fragile [IMPLY] bright [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is hilarious [PERIOD]
Rules:
frail [AND] busy [IMPLY] ugly [PERIOD]
condemned [IMPLY] frail [PERIOD]
confused [IMPLY] stormy [PERIOD]
quaint [IMPLY] courageous [PERIOD]
friendly [AND] long [IMPLY] quaint [PERIOD]
stubborn [AND] talented [IMPLY] blushing [PERIOD]
friendly [AND] frail [IMPLY] scared [PERIOD]
condemned [AND] zealous [IMPLY] quaint [PERIOD]
stubborn [AND] inexpensive [AND] long [IMPLY] fine [PERIOD]
scared [IMPLY] calm [PERIOD]
inexpensive [AND] courageous [IMPLY] loving [PERIOD]
stubborn [AND] inexpensive [IMPLY] courageous [PERIOD]
powerful [AND] stubborn [AND] talented [IMPLY] scared [PERIOD]
stormy [AND] friendly [AND] comfortable [IMPLY] busy [PERIOD]
ugly [AND] condemned [AND] powerful [IMPLY] stubborn [PERIOD]
fine [AND] scared [AND] silly [IMPLY] talented [PERIOD]
busy [IMPLY] fine [PERIOD]
fancy [AND] frail [AND] hilarious [IMPLY] confused [PERIOD]
stormy [AND] courageous [IMPLY] condemned [PERIOD]
loving [AND] busy [AND] long [IMPLY] condemned [PERIOD]
hilarious [AND] busy [IMPLY] friendly [PERIOD]
courageous [AND] stormy [IMPLY] talented [PERIOD]
fancy [IMPLY] powerful [PERIOD]
zealous [IMPLY] courageous [PERIOD]
calm [AND] silly [IMPLY] serious [PERIOD]
zealous [AND] quaint [IMPLY] stormy [PERIOD]
ugly [AND] condemned [IMPLY] curious [PERIOD]
zealous [AND] stormy [IMPLY] fine [PERIOD]
courageous [AND] silly [IMPLY] busy [PERIOD]
busy [AND] bossy [AND] talented [IMPLY] calm [PERIOD]
dull [IMPLY] serious [PERIOD]
ugly [IMPLY] comfortable [PERIOD]
scared [IMPLY] quaint [PERIOD]
stormy [IMPLY] loving [PERIOD]
stubborn [IMPLY] inexpensive [PERIOD]
long [AND] loving [AND] comfortable [IMPLY] stubborn [PERIOD]
ugly [IMPLY] talented [PERIOD]
zealous [IMPLY] long [PERIOD]
confused [AND] ugly [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] condemned [PERIOD]
curious [IMPLY] hilarious [PERIOD]
bossy [IMPLY] calm [PERIOD]
stormy [AND] quaint [AND] talented [IMPLY] bossy [PERIOD]
scared [AND] fancy [IMPLY] serious [PERIOD]
frail [IMPLY] silly [PERIOD]
calm [AND] powerful [AND] loving [IMPLY] dull [PERIOD]
hilarious [AND] long [AND] stormy [IMPLY] zealous [PERIOD]
busy [IMPLY] comfortable [PERIOD]
inexpensive [AND] calm [AND] friendly [IMPLY] stubborn [PERIOD]
serious [IMPLY] bossy [PERIOD]
fancy [IMPLY] comfortable [PERIOD]
stormy [AND] scared [AND] busy [IMPLY] long [PERIOD]
serious [AND] curious [IMPLY] powerful [PERIOD]
bossy [IMPLY] long [PERIOD]
powerful [AND] talented [AND] inexpensive [IMPLY] stubborn [PERIOD]
ugly [IMPLY] scared [PERIOD]
dull [AND] fancy [IMPLY] zealous [PERIOD]
calm [IMPLY] serious [PERIOD]
stormy [IMPLY] blushing [PERIOD]
long [AND] hilarious [AND] frail [IMPLY] loving [PERIOD]
loving [IMPLY] frail [PERIOD]
loving [IMPLY] courageous [PERIOD]
serious [IMPLY] powerful [PERIOD]
dull [AND] long [AND] friendly [IMPLY] calm [PERIOD]
curious [AND] busy [IMPLY] calm [PERIOD]
comfortable [AND] stormy [IMPLY] silly [PERIOD]
ugly [AND] inexpensive [AND] comfortable [IMPLY] hilarious [PERIOD]
serious [AND] long [IMPLY] blushing [PERIOD]
loving [IMPLY] inexpensive [PERIOD]
hilarious [AND] courageous [IMPLY] frail [PERIOD]
curious [IMPLY] comfortable [PERIOD]
fancy [AND] stubborn [AND] curious [IMPLY] friendly [PERIOD]
calm [IMPLY] curious [PERIOD]
bossy [AND] inexpensive [AND] zealous [IMPLY] loving [PERIOD]
stubborn [AND] calm [IMPLY] talented [PERIOD]
long [AND] loving [IMPLY] calm [PERIOD]
friendly [AND] ugly [IMPLY] hilarious [PERIOD]
friendly [AND] long [IMPLY] stubborn [PERIOD]
frail [IMPLY] courageous [PERIOD]
hilarious [IMPLY] confused [PERIOD]
stormy [IMPLY] courageous [PERIOD]
fancy [AND] condemned [IMPLY] loving [PERIOD]
talented [AND] silly [IMPLY] condemned [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
   hilarious ⇒ condemned
   condemned ⇒ frail
   frail ⇒ courageous
   hilarious ⇒ condemned
   condemned ⇒ frail
   frail ⇒ silly
   courageous ∧ silly ⇒ busy
",1,7
"Facts: 
Rules:
ugliest [IMPLY] bad-tempered [PERIOD]
ugliest [AND] serious [IMPLY] diplomatic [PERIOD]
broad-minded [AND] serious [AND] lonely [IMPLY] fragile [PERIOD]
confused [AND] mean [AND] zealous [IMPLY] combative [PERIOD]
broad-minded [AND] ugliest [AND] zealous [IMPLY] confused [PERIOD]
cute [AND] diplomatic [IMPLY] polite [PERIOD]
mean [AND] calm [AND] zealous [IMPLY] polite [PERIOD]
cute [AND] crowded [AND] hurt [IMPLY] impartial [PERIOD]
zealous [AND] polite [IMPLY] combative [PERIOD]
reserved [AND] beautiful [IMPLY] amused [PERIOD]
hurt [AND] calm [IMPLY] ugliest [PERIOD]
diplomatic [IMPLY] gleaming [PERIOD]
homely [AND] confused [AND] calm [IMPLY] outrageous [PERIOD]
homely [AND] diplomatic [IMPLY] bad-tempered [PERIOD]
fragile [AND] homely [AND] hurt [IMPLY] diplomatic [PERIOD]
enchanting [IMPLY] impartial [PERIOD]
hurt [AND] broad-minded [IMPLY] cute [PERIOD]
homely [AND] broad-minded [IMPLY] lonely [PERIOD]
combative [AND] hurt [IMPLY] outrageous [PERIOD]
diplomatic [IMPLY] homely [PERIOD]
zealous [IMPLY] fragile [PERIOD]
mean [IMPLY] ugliest [PERIOD]
gleaming [IMPLY] calm [PERIOD]
lonely [IMPLY] gleaming [PERIOD]
impartial [AND] amused [AND] crowded [IMPLY] polite [PERIOD]
bad-tempered [AND] crowded [IMPLY] calm [PERIOD]
outrageous [IMPLY] ugliest [PERIOD]
impartial [AND] calm [AND] hurt [IMPLY] zealous [PERIOD]
lonely [IMPLY] diplomatic [PERIOD]
serious [AND] thoughtful [AND] polite [IMPLY] gleaming [PERIOD]
hurt [IMPLY] mean [PERIOD]
broad-minded [AND] bad-tempered [IMPLY] fragile [PERIOD]
zealous [AND] ugliest [AND] gleaming [IMPLY] combative [PERIOD]
polite [AND] thoughtful [AND] gleaming [IMPLY] homely [PERIOD]
mean [AND] fragile [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] homely [AND] crowded [IMPLY] impartial [PERIOD]
fragile [AND] polite [AND] ugliest [IMPLY] reserved [PERIOD]
polite [AND] reserved [IMPLY] confused [PERIOD]
homely [AND] outrageous [IMPLY] reserved [PERIOD]
mean [AND] ugliest [AND] broad-minded [IMPLY] lonely [PERIOD]
mean [AND] crowded [IMPLY] fragile [PERIOD]
crowded [AND] cute [AND] thoughtful [IMPLY] gleaming [PERIOD]
gleaming [AND] amused [IMPLY] confused [PERIOD]
broad-minded [AND] outrageous [IMPLY] amused [PERIOD]
lonely [AND] ugliest [IMPLY] mean [PERIOD]
serious [IMPLY] crowded [PERIOD]
thoughtful [AND] calm [AND] lonely [IMPLY] polite [PERIOD]
polite [IMPLY] amused [PERIOD]
gleaming [IMPLY] crowded [PERIOD]
bad-tempered [AND] mean [AND] thoughtful [IMPLY] serious [PERIOD]
combative [AND] polite [IMPLY] thoughtful [PERIOD]
combative [IMPLY] lonely [PERIOD]
fragile [AND] confused [IMPLY] zealous [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   Cannot apply rule “ugliest ⇒ bad-tempered” because missing: ugliest.
   Cannot apply rule “homely ∧ diplomatic ⇒ bad-tempered” because missing: homely, diplomatic.
   Cannot apply rule “mean ∧ fragile ⇒ bad-tempered” because missing: mean, fragile.
",0,3
"Facts:  Alice is mysterious [PERIOD] Alice is innocent [PERIOD] Alice is stupid [PERIOD] Alice is pessimistic [PERIOD]
Rules:
naughty [AND] foolish [IMPLY] tired [PERIOD]
worrisome [IMPLY] curious [PERIOD]
perfect [IMPLY] bright [PERIOD]
naughty [IMPLY] tense [PERIOD]
sincere [IMPLY] shiny [PERIOD]
perfect [AND] innocent [AND] curious [IMPLY] mean [PERIOD]
mean [AND] inquisitive [AND] mysterious [IMPLY] troubled [PERIOD]
curious [IMPLY] stupid [PERIOD]
pessimistic [AND] mysterious [AND] mean [IMPLY] foolish [PERIOD]
inquisitive [IMPLY] troubled [PERIOD]
sincere [AND] tense [AND] innocent [IMPLY] pessimistic [PERIOD]
sincere [AND] shy [AND] foolish [IMPLY] straightforward [PERIOD]
shiny [AND] sincere [AND] inquisitive [IMPLY] shy [PERIOD]
worrisome [AND] innocent [AND] inquisitive [IMPLY] naughty [PERIOD]
unpleasant [IMPLY] naughty [PERIOD]
straightforward [IMPLY] mysterious [PERIOD]
bright [AND] stupid [IMPLY] shiny [PERIOD]
troubled [AND] worrisome [AND] curious [IMPLY] tired [PERIOD]
unpleasant [AND] perfect [AND] tired [IMPLY] straightforward [PERIOD]
bright [AND] shy [AND] unpleasant [IMPLY] stupid [PERIOD]
stupid [AND] shiny [AND] tense [IMPLY] shy [PERIOD]
shy [AND] troubled [AND] shiny [IMPLY] mean [PERIOD]
sincere [AND] unpleasant [IMPLY] pessimistic [PERIOD]
shy [AND] curious [AND] naughty [IMPLY] shiny [PERIOD]
curious [AND] straightforward [AND] stupid [IMPLY] shy [PERIOD]
mean [IMPLY] innocent [PERIOD]
naughty [AND] tired [AND] curious [IMPLY] tense [PERIOD]
straightforward [AND] stupid [AND] tense [IMPLY] perfect [PERIOD]
sincere [IMPLY] foolish [PERIOD]
unpleasant [AND] foolish [IMPLY] shiny [PERIOD]
unpleasant [IMPLY] perfect [PERIOD]
foolish [IMPLY] mean [PERIOD]
naughty [AND] inquisitive [IMPLY] stupid [PERIOD]
innocent [AND] troubled [IMPLY] inquisitive [PERIOD]
mean [AND] naughty [IMPLY] bright [PERIOD]
sincere [IMPLY] shy [PERIOD]
tired [AND] perfect [IMPLY] worrisome [PERIOD]
shiny [IMPLY] naughty [PERIOD]
mysterious [AND] shy [IMPLY] inquisitive [PERIOD]
bright [IMPLY] naughty [PERIOD]
bright [AND] mean [AND] pessimistic [IMPLY] foolish [PERIOD]
troubled [IMPLY] innocent [PERIOD]
shiny [AND] bright [IMPLY] tired [PERIOD]
tired [AND] shy [AND] tense [IMPLY] pessimistic [PERIOD]
sincere [AND] shy [AND] inquisitive [IMPLY] straightforward [PERIOD]
straightforward [AND] mean [IMPLY] pessimistic [PERIOD]
perfect [IMPLY] troubled [PERIOD]
inquisitive [IMPLY] stupid [PERIOD]
innocent [AND] curious [IMPLY] tense [PERIOD]
stupid [AND] shy [AND] innocent [IMPLY] mysterious [PERIOD]
mysterious [AND] naughty [AND] tired [IMPLY] stupid [PERIOD]
mean [IMPLY] worrisome [PERIOD]
bright [AND] shy [IMPLY] perfect [PERIOD]
naughty [AND] perfect [AND] unpleasant [IMPLY] worrisome [PERIOD]
tense [AND] curious [AND] perfect [IMPLY] inquisitive [PERIOD]
stupid [AND] inquisitive [AND] perfect [IMPLY] pessimistic [PERIOD]
sincere [AND] stupid [IMPLY] troubled [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   Cannot apply rule “shiny ∧ sincere ∧ inquisitive ⇒ shy” because missing: shiny, sincere, inquisitive.
   Cannot apply rule “stupid ∧ shiny ∧ tense ⇒ shy” because missing: shiny, tense.
   Cannot apply rule “curious ∧ straightforward ∧ stupid ⇒ shy” because missing: curious, straightforward.
   Cannot apply rule “sincere ⇒ shy” because missing: sincere.
",0,4
"Facts:  Alice is impartial [PERIOD]
Rules:
cooperative [IMPLY] zealous [PERIOD]
powerful [AND] nervous [IMPLY] inexpensive [PERIOD]
powerful [IMPLY] sleepy [PERIOD]
sensible [AND] muddy [IMPLY] impartial [PERIOD]
worrisome [AND] sensible [AND] impartial [IMPLY] muddy [PERIOD]
muddy [AND] sensible [IMPLY] fragile [PERIOD]
plain [AND] glamorous [IMPLY] tame [PERIOD]
helpful [AND] amused [IMPLY] stupid [PERIOD]
helpless [IMPLY] gifted [PERIOD]
stupid [IMPLY] inexpensive [PERIOD]
straightforward [AND] versatile [IMPLY] muddy [PERIOD]
helpless [IMPLY] amused [PERIOD]
impartial [AND] versatile [IMPLY] powerful [PERIOD]
zealous [AND] glamorous [AND] troubled [IMPLY] stupid [PERIOD]
fragile [AND] powerful [AND] inexpensive [IMPLY] helpful [PERIOD]
impartial [IMPLY] tame [PERIOD]
zealous [AND] inexpensive [AND] glamorous [IMPLY] powerful [PERIOD]
straightforward [AND] troubled [AND] helpful [IMPLY] nervous [PERIOD]
amused [AND] fragile [AND] glamorous [IMPLY] nervous [PERIOD]
worrisome [AND] nervous [IMPLY] helpless [PERIOD]
fragile [AND] nervous [IMPLY] lucky [PERIOD]
impartial [AND] gifted [AND] sleepy [IMPLY] zealous [PERIOD]
lucky [IMPLY] sensible [PERIOD]
amused [AND] helpless [AND] inexpensive [IMPLY] tame [PERIOD]
fragile [AND] helpful [IMPLY] straightforward [PERIOD]
excited [IMPLY] impartial [PERIOD]
impartial [IMPLY] beautiful [PERIOD]
nervous [IMPLY] muddy [PERIOD]
beautiful [IMPLY] tame [PERIOD]
lucky [IMPLY] inexpensive [PERIOD]
worrisome [AND] fragile [AND] gifted [IMPLY] beautiful [PERIOD]
plain [IMPLY] lucky [PERIOD]
glamorous [AND] troubled [AND] excited [IMPLY] versatile [PERIOD]
helpful [AND] glamorous [AND] sensible [IMPLY] excited [PERIOD]
fragile [IMPLY] gifted [PERIOD]
tame [AND] troubled [AND] powerful [IMPLY] beautiful [PERIOD]
gifted [AND] cooperative [IMPLY] tame [PERIOD]
nervous [AND] straightforward [IMPLY] worrisome [PERIOD]
stupid [AND] cooperative [AND] versatile [IMPLY] reserved [PERIOD]
tame [IMPLY] inexpensive [PERIOD]
excited [AND] helpless [IMPLY] helpful [PERIOD]
fragile [AND] beautiful [IMPLY] reserved [PERIOD]
troubled [AND] powerful [IMPLY] reserved [PERIOD]
gifted [AND] straightforward [AND] muddy [IMPLY] lucky [PERIOD]
muddy [AND] glamorous [IMPLY] stupid [PERIOD]
tame [IMPLY] straightforward [PERIOD]
fragile [IMPLY] powerful [PERIOD]
inexpensive [IMPLY] straightforward [PERIOD]
muddy [AND] troubled [IMPLY] fragile [PERIOD]
helpful [AND] powerful [AND] worrisome [IMPLY] impartial [PERIOD]
plain [AND] troubled [IMPLY] versatile [PERIOD]
straightforward [IMPLY] amused [PERIOD]
amused [AND] inexpensive [IMPLY] versatile [PERIOD]
nervous [AND] inexpensive [AND] worrisome [IMPLY] muddy [PERIOD]
straightforward [AND] versatile [IMPLY] tame [PERIOD]
sensible [AND] glamorous [IMPLY] excited [PERIOD]
zealous [AND] tame [AND] lucky [IMPLY] cooperative [PERIOD]
excited [IMPLY] sensible [PERIOD]
tame [IMPLY] versatile [PERIOD]
excited [IMPLY] powerful [PERIOD]
worrisome [AND] impartial [IMPLY] powerful [PERIOD]
excited [AND] sensible [IMPLY] muddy [PERIOD]
cooperative [AND] excited [AND] helpless [IMPLY] helpful [PERIOD]
sensible [AND] glamorous [IMPLY] zealous [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
   Cannot apply rule “cooperative ⇒ zealous” because missing: cooperative.
   impartial ⇒ tame
   tame ⇒ versatile
   impartial ∧ versatile ⇒ powerful
   powerful ⇒ sleepy
   Cannot apply rule “impartial ∧ gifted ∧ sleepy ⇒ zealous” because missing: gifted.
   Cannot apply rule “sensible ∧ glamorous ⇒ zealous” because missing: sensible, glamorous.
",0,7
"Facts: 
Rules:
shiny [IMPLY] pessimistic [PERIOD]
combative [AND] shiny [IMPLY] weary [PERIOD]
condemned [IMPLY] attentive [PERIOD]
condemned [AND] sincere [AND] combative [IMPLY] attentive [PERIOD]
shiny [AND] pessimistic [AND] frightened [IMPLY] combative [PERIOD]
shiny [IMPLY] condemned [PERIOD]
sincere [AND] shiny [IMPLY] attentive [PERIOD]
weary [AND] attentive [IMPLY] frightened [PERIOD]
muddy [IMPLY] condemned [PERIOD]
frightened [AND] weary [AND] shiny [IMPLY] sincere [PERIOD]
frightened [IMPLY] condemned [PERIOD]
combative [IMPLY] sincere [PERIOD]
pessimistic [AND] muddy [IMPLY] combative [PERIOD]
shiny [AND] attentive [AND] sincere [IMPLY] combative [PERIOD]
condemned [IMPLY] frightened [PERIOD]
attentive [AND] shiny [IMPLY] sincere [PERIOD]
pessimistic [AND] frightened [IMPLY] sincere [PERIOD]
attentive [AND] muddy [IMPLY] condemned [PERIOD]
pessimistic [AND] combative [AND] frightened [IMPLY] weary [PERIOD]
weary [AND] muddy [IMPLY] frightened [PERIOD]
attentive [IMPLY] frightened [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
   Cannot apply rule “weary ∧ attentive ⇒ frightened” because missing: weary, attentive.
   Cannot apply rule “condemned ⇒ frightened” because missing: condemned.
   Cannot apply rule “weary ∧ muddy ⇒ frightened” because missing: weary, muddy.
   Cannot apply rule “attentive ⇒ frightened” because missing: attentive.
",0,4
"Facts: 
Rules:
stormy [AND] blushing [AND] reserved [IMPLY] thoughtful [PERIOD]
muddy [IMPLY] sleepy [PERIOD]
strange [IMPLY] attentive [PERIOD]
intellectual [IMPLY] troubled [PERIOD]
impatient [AND] stubborn [IMPLY] strange [PERIOD]
thoughtful [AND] spotless [AND] gleaming [IMPLY] ugliest [PERIOD]
impatient [IMPLY] grumpy [PERIOD]
selfish [IMPLY] stubborn [PERIOD]
muddy [AND] spotless [IMPLY] gleaming [PERIOD]
blushing [AND] reserved [IMPLY] strange [PERIOD]
troubled [AND] sleepy [AND] selfish [IMPLY] grumpy [PERIOD]
intellectual [IMPLY] strange [PERIOD]
adorable [IMPLY] impatient [PERIOD]
thoughtful [AND] thoughtless [AND] polite [IMPLY] troubled [PERIOD]
strange [AND] impartial [IMPLY] gleaming [PERIOD]
polite [AND] worrisome [IMPLY] perfect [PERIOD]
attentive [AND] stubborn [IMPLY] thoughtful [PERIOD]
sleepy [AND] attentive [IMPLY] perfect [PERIOD]
stubborn [IMPLY] gleaming [PERIOD]
gleaming [AND] talented [AND] impartial [IMPLY] muddy [PERIOD]
attentive [AND] strange [IMPLY] thoughtful [PERIOD]
strange [AND] grumpy [IMPLY] troubled [PERIOD]
worrisome [AND] combative [AND] muddy [IMPLY] talented [PERIOD]
spotless [AND] worrisome [IMPLY] muddy [PERIOD]
blushing [AND] stubborn [IMPLY] sleepy [PERIOD]
gleaming [AND] thoughtful [AND] stubborn [IMPLY] worrisome [PERIOD]
spotless [AND] ugliest [IMPLY] sleepy [PERIOD]
worrisome [IMPLY] ugliest [PERIOD]
mysterious [AND] worrisome [AND] polite [IMPLY] sleepy [PERIOD]
thoughtless [AND] thoughtful [IMPLY] stubborn [PERIOD]
reserved [AND] excited [AND] intellectual [IMPLY] impartial [PERIOD]
stormy [AND] thoughtful [IMPLY] intellectual [PERIOD]
blushing [AND] strange [AND] perfect [IMPLY] gleaming [PERIOD]
stubborn [AND] ugliest [IMPLY] worrisome [PERIOD]
impatient [IMPLY] thoughtless [PERIOD]
thoughtless [AND] blushing [AND] grumpy [IMPLY] adorable [PERIOD]
talented [AND] sleepy [AND] stubborn [IMPLY] muddy [PERIOD]
excited [AND] stormy [AND] thoughtful [IMPLY] worrisome [PERIOD]
grumpy [AND] impartial [AND] ugliest [IMPLY] blushing [PERIOD]
polite [AND] sleepy [AND] impartial [IMPLY] impatient [PERIOD]
selfish [AND] gleaming [IMPLY] thoughtful [PERIOD]
troubled [AND] strange [IMPLY] selfish [PERIOD]
combative [IMPLY] thoughtless [PERIOD]
thoughtful [AND] blushing [AND] grumpy [IMPLY] mysterious [PERIOD]
ugliest [AND] thoughtful [AND] stormy [IMPLY] excited [PERIOD]
reserved [AND] attentive [AND] gleaming [IMPLY] ugliest [PERIOD]
blushing [AND] impartial [IMPLY] ugliest [PERIOD]
spotless [AND] impartial [IMPLY] excited [PERIOD]
thoughtless [AND] stubborn [IMPLY] worrisome [PERIOD]
strange [AND] reserved [AND] mysterious [IMPLY] thoughtful [PERIOD]
impartial [AND] polite [AND] mysterious [IMPLY] grumpy [PERIOD]
ugliest [IMPLY] stubborn [PERIOD]
sleepy [IMPLY] combative [PERIOD]
thoughtless [AND] selfish [AND] muddy [IMPLY] thoughtful [PERIOD]
adorable [AND] grumpy [IMPLY] worrisome [PERIOD]
troubled [IMPLY] talented [PERIOD]
selfish [IMPLY] excited [PERIOD]
spotless [AND] mysterious [AND] talented [IMPLY] gleaming [PERIOD]
adorable [AND] ugliest [IMPLY] perfect [PERIOD]
selfish [AND] sleepy [AND] worrisome [IMPLY] attentive [PERIOD]
strange [AND] impatient [AND] stormy [IMPLY] thoughtless [PERIOD]
impatient [IMPLY] thoughtful [PERIOD]
grumpy [AND] ugliest [IMPLY] stormy [PERIOD]
combative [AND] worrisome [AND] stubborn [IMPLY] muddy [PERIOD]
impartial [AND] sleepy [AND] attentive [IMPLY] polite [PERIOD]
stormy [IMPLY] impartial [PERIOD]
thoughtful [AND] spotless [IMPLY] muddy [PERIOD]
sleepy [AND] grumpy [AND] attentive [IMPLY] spotless [PERIOD]
spotless [AND] perfect [AND] combative [IMPLY] troubled [PERIOD]
stubborn [IMPLY] impatient [PERIOD]
thoughtless [IMPLY] stormy [PERIOD]
attentive [AND] combative [AND] stormy [IMPLY] selfish [PERIOD]
grumpy [AND] excited [IMPLY] thoughtless [PERIOD]
worrisome [AND] adorable [IMPLY] impartial [PERIOD]
grumpy [IMPLY] impartial [PERIOD]
blushing [AND] worrisome [IMPLY] spotless [PERIOD]
blushing [AND] stubborn [IMPLY] impatient [PERIOD]
stubborn [AND] grumpy [IMPLY] impatient [PERIOD]
polite [IMPLY] spotless [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   Cannot apply rule “gleaming ∧ talented ∧ impartial ⇒ muddy” because missing: gleaming, talented, impartial.
   Cannot apply rule “spotless ∧ worrisome ⇒ muddy” because missing: spotless, worrisome.
   Cannot apply rule “talented ∧ sleepy ∧ stubborn ⇒ muddy” because missing: talented, sleepy, stubborn.
   Cannot apply rule “combative ∧ worrisome ∧ stubborn ⇒ muddy” because missing: combative, worrisome, stubborn.
   Cannot apply rule “thoughtful ∧ spotless ⇒ muddy” because missing: thoughtful, spotless.
",0,5
"Facts:  Alice is adorable [PERIOD]
Rules:
precious [AND] outstanding [IMPLY] courageous [PERIOD]
condemned [AND] busy [AND] adorable [IMPLY] courageous [PERIOD]
condemned [IMPLY] precious [PERIOD]
thoughtless [IMPLY] precious [PERIOD]
rude [AND] adorable [AND] busy [IMPLY] outstanding [PERIOD]
courageous [IMPLY] outstanding [PERIOD]
thoughtless [AND] condemned [AND] adorable [IMPLY] outstanding [PERIOD]
busy [IMPLY] outstanding [PERIOD]
adorable [AND] rude [IMPLY] courageous [PERIOD]
busy [AND] courageous [IMPLY] precious [PERIOD]
outstanding [IMPLY] courageous [PERIOD]
precious [AND] condemned [AND] courageous [IMPLY] thoughtless [PERIOD]
precious [AND] rude [AND] thoughtless [IMPLY] courageous [PERIOD]
adorable [IMPLY] condemned [PERIOD]
courageous [AND] busy [AND] outstanding [IMPLY] rude [PERIOD]
outstanding [IMPLY] busy [PERIOD]
condemned [AND] outstanding [AND] precious [IMPLY] adorable [PERIOD]
outstanding [IMPLY] adorable [PERIOD]
condemned [IMPLY] adorable [PERIOD]
rude [IMPLY] courageous [PERIOD]
thoughtless [AND] rude [AND] busy [IMPLY] outstanding [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   Cannot apply rule “rude ∧ adorable ∧ busy ⇒ outstanding” because missing: rude, busy.
   Cannot apply rule “courageous ⇒ outstanding” because missing: courageous.
   adorable ⇒ condemned
   Cannot apply rule “thoughtless ∧ condemned ∧ adorable ⇒ outstanding” because missing: thoughtless.
   Cannot apply rule “busy ⇒ outstanding” because missing: busy.
   Cannot apply rule “thoughtless ∧ rude ∧ busy ⇒ outstanding” because missing: thoughtless, rude, busy.
",0,6
"Facts:  Alice is elated [PERIOD] Alice is aggressive [PERIOD] Alice is average [PERIOD] Alice is outstanding [PERIOD]
Rules:
homely [AND] supportive [IMPLY] fine [PERIOD]
elated [IMPLY] elegant [PERIOD]
cute [IMPLY] elegant [PERIOD]
elegant [AND] homely [AND] thoughtful [IMPLY] ambitious [PERIOD]
ambitious [AND] enchanting [AND] joyous [IMPLY] cute [PERIOD]
bossy [AND] elated [IMPLY] outstanding [PERIOD]
joyous [AND] anxious [IMPLY] outstanding [PERIOD]
hypocritical [AND] aggressive [AND] smart [IMPLY] bossy [PERIOD]
cute [AND] innocent [IMPLY] homely [PERIOD]
average [AND] supportive [AND] innocent [IMPLY] vivacious [PERIOD]
shiny [IMPLY] helpless [PERIOD]
exuberant [AND] average [AND] vivacious [IMPLY] outstanding [PERIOD]
elegant [AND] fine [IMPLY] outstanding [PERIOD]
elegant [AND] shiny [AND] careless [IMPLY] smart [PERIOD]
joyous [IMPLY] enchanting [PERIOD]
enchanting [AND] elegant [AND] stormy [IMPLY] thoughtful [PERIOD]
anxious [AND] hypocritical [AND] foolish [IMPLY] innocent [PERIOD]
elegant [AND] aggressive [AND] innocent [IMPLY] straightforward [PERIOD]
thoughtful [AND] elated [AND] enchanting [IMPLY] innocent [PERIOD]
hypocritical [IMPLY] shiny [PERIOD]
average [AND] innocent [IMPLY] elated [PERIOD]
smart [AND] worried [AND] outstanding [IMPLY] stormy [PERIOD]
worried [AND] average [AND] aggressive [IMPLY] vivacious [PERIOD]
average [IMPLY] exuberant [PERIOD]
elegant [AND] smart [AND] straightforward [IMPLY] cute [PERIOD]
elegant [AND] innocent [IMPLY] courageous [PERIOD]
average [AND] elegant [AND] hypocritical [IMPLY] careless [PERIOD]
straightforward [AND] worried [IMPLY] homely [PERIOD]
anxious [IMPLY] fine [PERIOD]
shiny [IMPLY] courageous [PERIOD]
thoughtful [AND] anxious [IMPLY] innocent [PERIOD]
fine [IMPLY] joyous [PERIOD]
supportive [AND] average [AND] joyous [IMPLY] homely [PERIOD]
elegant [AND] ambitious [IMPLY] outstanding [PERIOD]
helpless [AND] stupid [IMPLY] outstanding [PERIOD]
careless [AND] stormy [IMPLY] aggressive [PERIOD]
foolish [IMPLY] homely [PERIOD]
innocent [AND] foolish [IMPLY] careless [PERIOD]
vivacious [AND] smart [AND] elated [IMPLY] supportive [PERIOD]
stupid [AND] worried [IMPLY] elegant [PERIOD]
outstanding [AND] fine [IMPLY] hypocritical [PERIOD]
supportive [AND] innocent [IMPLY] outstanding [PERIOD]
stormy [AND] hypocritical [IMPLY] aggressive [PERIOD]
enchanting [AND] homely [IMPLY] bossy [PERIOD]
shiny [AND] straightforward [IMPLY] cute [PERIOD]
average [AND] aggressive [AND] careless [IMPLY] outstanding [PERIOD]
stupid [AND] elated [IMPLY] fine [PERIOD]
shiny [AND] careless [IMPLY] cute [PERIOD]
enchanting [AND] thoughtful [AND] stupid [IMPLY] stormy [PERIOD]
cute [AND] average [AND] anxious [IMPLY] shiny [PERIOD]
bossy [AND] foolish [IMPLY] worried [PERIOD]
enchanting [AND] worried [AND] fine [IMPLY] aggressive [PERIOD]
helpless [AND] vivacious [AND] foolish [IMPLY] careless [PERIOD]
homely [AND] stormy [AND] careless [IMPLY] bossy [PERIOD]
helpless [AND] joyous [AND] stupid [IMPLY] smart [PERIOD]
stupid [IMPLY] shiny [PERIOD]
stormy [AND] careless [IMPLY] stupid [PERIOD]
hypocritical [AND] bossy [IMPLY] average [PERIOD]
vivacious [IMPLY] worried [PERIOD]
ambitious [AND] joyous [AND] smart [IMPLY] courageous [PERIOD]
innocent [AND] stupid [AND] average [IMPLY] outstanding [PERIOD]
stupid [AND] helpless [AND] ambitious [IMPLY] hypocritical [PERIOD]
exuberant [AND] average [IMPLY] innocent [PERIOD]
bossy [IMPLY] shiny [PERIOD]
foolish [AND] fine [AND] shiny [IMPLY] average [PERIOD]
vivacious [AND] supportive [AND] bossy [IMPLY] innocent [PERIOD]
ambitious [AND] innocent [AND] stormy [IMPLY] vivacious [PERIOD]
thoughtful [AND] ambitious [AND] fine [IMPLY] straightforward [PERIOD]
helpless [IMPLY] homely [PERIOD]
thoughtful [AND] worried [IMPLY] outstanding [PERIOD]
smart [AND] shiny [IMPLY] worried [PERIOD]
innocent [AND] worried [IMPLY] joyous [PERIOD]
cute [IMPLY] elated [PERIOD]
fine [AND] bossy [AND] smart [IMPLY] shiny [PERIOD]
supportive [IMPLY] exuberant [PERIOD]
cute [AND] elated [AND] aggressive [IMPLY] homely [PERIOD]
elegant [IMPLY] shiny [PERIOD]
smart [IMPLY] anxious [PERIOD]
bossy [AND] foolish [AND] stupid [IMPLY] ambitious [PERIOD]
stormy [IMPLY] courageous [PERIOD]
bossy [AND] exuberant [IMPLY] stupid [PERIOD]
average [AND] supportive [AND] worried [IMPLY] cute [PERIOD]
careless [AND] thoughtful [AND] elated [IMPLY] aggressive [PERIOD]
aggressive [AND] courageous [AND] anxious [IMPLY] careless [PERIOD]
aggressive [IMPLY] innocent [PERIOD]
smart [AND] stormy [IMPLY] foolish [PERIOD]
supportive [AND] ambitious [IMPLY] shiny [PERIOD]
aggressive [AND] ambitious [IMPLY] fine [PERIOD]
thoughtful [AND] aggressive [IMPLY] helpless [PERIOD]
elegant [IMPLY] bossy [PERIOD]
aggressive [AND] supportive [AND] homely [IMPLY] bossy [PERIOD]
joyous [AND] homely [AND] aggressive [IMPLY] foolish [PERIOD]
fine [AND] exuberant [IMPLY] anxious [PERIOD]
helpless [AND] foolish [AND] worried [IMPLY] courageous [PERIOD]
bossy [AND] outstanding [IMPLY] ambitious [PERIOD]
stupid [IMPLY] innocent [PERIOD]
supportive [AND] helpless [IMPLY] stormy [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   elated ⇒ elegant
   elegant ⇒ shiny
   elated ⇒ elegant
   aggressive ⇒ innocent
   elegant ∧ aggressive ∧ innocent ⇒ straightforward
   shiny ∧ straightforward ⇒ cute
",1,6
"Facts: 
Rules:
elated [AND] plain [IMPLY] scared [PERIOD]
plain [IMPLY] light [PERIOD]
difficult [AND] wandering [AND] outrageous [IMPLY] light [PERIOD]
inquisitive [AND] muddy [IMPLY] scared [PERIOD]
scared [IMPLY] plain [PERIOD]
reserved [IMPLY] precious [PERIOD]
scared [AND] difficult [AND] inquisitive [IMPLY] outrageous [PERIOD]
plain [AND] shy [IMPLY] wandering [PERIOD]
bright [AND] outrageous [IMPLY] plain [PERIOD]
muddy [AND] wandering [IMPLY] cruel [PERIOD]
reserved [AND] rude [IMPLY] outrageous [PERIOD]
outrageous [AND] bright [IMPLY] famous [PERIOD]
muddy [AND] outrageous [IMPLY] difficult [PERIOD]
worried [AND] supportive [AND] elated [IMPLY] muddy [PERIOD]
supportive [AND] bright [IMPLY] elated [PERIOD]
bright [IMPLY] reserved [PERIOD]
plain [AND] disobedient [AND] bright [IMPLY] light [PERIOD]
bright [AND] outrageous [AND] disobedient [IMPLY] lonely [PERIOD]
muddy [AND] shy [IMPLY] worried [PERIOD]
precious [IMPLY] worried [PERIOD]
outrageous [AND] famous [AND] elated [IMPLY] shy [PERIOD]
bright [AND] reserved [AND] difficult [IMPLY] lonely [PERIOD]
lonely [AND] shy [AND] supportive [IMPLY] famous [PERIOD]
muddy [IMPLY] rude [PERIOD]
famous [AND] muddy [IMPLY] precious [PERIOD]
precious [AND] elated [AND] supportive [IMPLY] disobedient [PERIOD]
disobedient [AND] supportive [AND] pleasant [IMPLY] light [PERIOD]
shy [AND] disobedient [AND] wandering [IMPLY] cruel [PERIOD]
famous [AND] worried [IMPLY] precious [PERIOD]
inquisitive [AND] outrageous [IMPLY] lonely [PERIOD]
wandering [IMPLY] light [PERIOD]
wandering [IMPLY] elated [PERIOD]
muddy [IMPLY] pleasant [PERIOD]
supportive [AND] reserved [IMPLY] cruel [PERIOD]
supportive [IMPLY] reserved [PERIOD]
pleasant [AND] muddy [AND] supportive [IMPLY] cruel [PERIOD]
wandering [AND] worried [IMPLY] reserved [PERIOD]
reserved [AND] rude [IMPLY] inquisitive [PERIOD]
worried [IMPLY] plain [PERIOD]
wandering [IMPLY] plain [PERIOD]
rude [AND] bright [IMPLY] precious [PERIOD]
supportive [IMPLY] worried [PERIOD]
bright [AND] precious [IMPLY] famous [PERIOD]
muddy [AND] famous [AND] difficult [IMPLY] outrageous [PERIOD]
plain [IMPLY] scared [PERIOD]
supportive [AND] bright [AND] shy [IMPLY] muddy [PERIOD]
shy [AND] plain [AND] bright [IMPLY] famous [PERIOD]
outrageous [IMPLY] plain [PERIOD]
disobedient [AND] light [IMPLY] supportive [PERIOD]
outrageous [AND] precious [AND] inquisitive [IMPLY] muddy [PERIOD]
reserved [IMPLY] bright [PERIOD]
inquisitive [AND] precious [IMPLY] light [PERIOD]
bright [IMPLY] inquisitive [PERIOD]
rude [AND] worried [IMPLY] reserved [PERIOD]
light [AND] supportive [AND] difficult [IMPLY] reserved [PERIOD]
bright [AND] worried [AND] cruel [IMPLY] reserved [PERIOD]
difficult [AND] scared [AND] disobedient [IMPLY] light [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
   Cannot apply rule “reserved ⇒ precious” because missing: reserved.
   Cannot apply rule “famous ∧ muddy ⇒ precious” because missing: famous, muddy.
   Cannot apply rule “famous ∧ worried ⇒ precious” because missing: famous, worried.
   Cannot apply rule “rude ∧ bright ⇒ precious” because missing: rude, bright.
",0,4
"Facts:  Alice is mean [PERIOD]
Rules:
tidy [AND] mean [IMPLY] sensible [PERIOD]
calm [AND] anxious [AND] confident [IMPLY] tidy [PERIOD]
confident [IMPLY] aggressive [PERIOD]
bad-tempered [AND] aggressive [AND] exuberant [IMPLY] confident [PERIOD]
confident [IMPLY] bossy [PERIOD]
exuberant [AND] sensible [IMPLY] ambitious [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   No rule concludes “anxious.”
",0,1
"Facts:  Alice is witty [PERIOD] Alice is difficult [PERIOD] Alice is reserved [PERIOD]
Rules:
difficult [AND] powerful [AND] reserved [IMPLY] agreeable [PERIOD]
witty [AND] sensible [IMPLY] disgusted [PERIOD]
agreeable [AND] dishonest [AND] bright [IMPLY] disgusted [PERIOD]
witty [IMPLY] sensible [PERIOD]
agreeable [AND] witty [IMPLY] reserved [PERIOD]
reserved [IMPLY] agreeable [PERIOD]
horrible [AND] reserved [AND] disgusted [IMPLY] powerful [PERIOD]
bright [IMPLY] dishonest [PERIOD]
horrible [AND] dishonest [AND] agreeable [IMPLY] disgusted [PERIOD]
horrible [AND] difficult [AND] agreeable [IMPLY] witty [PERIOD]
disgusted [AND] powerful [AND] difficult [IMPLY] dishonest [PERIOD]
powerful [IMPLY] dishonest [PERIOD]
reserved [IMPLY] sensible [PERIOD]
bright [AND] disgusted [IMPLY] reserved [PERIOD]
difficult [IMPLY] witty [PERIOD]
reserved [IMPLY] powerful [PERIOD]
powerful [AND] disgusted [AND] dishonest [IMPLY] horrible [PERIOD]
powerful [AND] difficult [IMPLY] witty [PERIOD]
bright [IMPLY] horrible [PERIOD]
reserved [AND] agreeable [IMPLY] dishonest [PERIOD]
difficult [AND] dishonest [AND] bright [IMPLY] powerful [PERIOD]
dishonest [AND] sensible [AND] difficult [IMPLY] witty [PERIOD]
reserved [AND] horrible [IMPLY] sensible [PERIOD]
sensible [AND] powerful [AND] reserved [IMPLY] agreeable [PERIOD]
powerful [AND] witty [IMPLY] reserved [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   reserved ⇒ powerful
   reserved ⇒ sensible
   witty ∧ sensible ⇒ disgusted
   reserved ⇒ agreeable
   reserved ∧ agreeable ⇒ dishonest
   powerful ∧ disgusted ∧ dishonest ⇒ horrible
",1,6
"Facts:  Alice is victorious [PERIOD] Alice is messy [PERIOD]
Rules:
beautiful [AND] messy [IMPLY] nervous [PERIOD]
careless [AND] ugly [IMPLY] glamorous [PERIOD]
clean [IMPLY] muddy [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   No rule concludes “average.”
",0,1
"Facts:  Alice is embarrassed [PERIOD] Alice is selfish [PERIOD] Alice is elegant [PERIOD]
Rules:
elegant [AND] courageous [AND] embarrassed [IMPLY] selfish [PERIOD]
selfish [AND] elegant [IMPLY] homely [PERIOD]
embarrassed [AND] courageous [AND] selfish [IMPLY] homely [PERIOD]
homely [AND] selfish [AND] elegant [IMPLY] courageous [PERIOD]
embarrassed [AND] courageous [AND] homely [IMPLY] elegant [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   selfish ∧ elegant ⇒ homely
",1,1
"Facts:  Alice is thoughtless [PERIOD]
Rules:
versatile [AND] inexpensive [IMPLY] powerful [PERIOD]
wrong [AND] outrageous [AND] inexpensive [IMPLY] distinct [PERIOD]
versatile [AND] rational [AND] mean [IMPLY] thoughtless [PERIOD]
dull [AND] courageous [IMPLY] vivacious [PERIOD]
muddy [AND] versatile [IMPLY] thoughtless [PERIOD]
distinct [IMPLY] rational [PERIOD]
inexpensive [IMPLY] ugliest [PERIOD]
cute [AND] agreeable [IMPLY] rational [PERIOD]
agreeable [AND] courageous [IMPLY] versatile [PERIOD]
versatile [AND] ambitious [AND] gorgeous [IMPLY] helpful [PERIOD]
powerful [IMPLY] gleaming [PERIOD]
helpful [AND] fancy [AND] powerful [IMPLY] gorgeous [PERIOD]
rational [AND] courageous [AND] agreeable [IMPLY] gorgeous [PERIOD]
muddy [AND] wrong [AND] broad-minded [IMPLY] ugliest [PERIOD]
clean [AND] rational [IMPLY] outrageous [PERIOD]
powerful [AND] cute [IMPLY] outrageous [PERIOD]
broad-minded [AND] dull [AND] distinct [IMPLY] helpful [PERIOD]
agreeable [AND] thoughtless [IMPLY] foolish [PERIOD]
vivacious [AND] versatile [IMPLY] tame [PERIOD]
dull [IMPLY] broad-minded [PERIOD]
foolish [IMPLY] cute [PERIOD]
rational [IMPLY] vivacious [PERIOD]
clean [AND] tame [AND] broad-minded [IMPLY] gorgeous [PERIOD]
broad-minded [AND] mean [AND] vivacious [IMPLY] courageous [PERIOD]
powerful [IMPLY] muddy [PERIOD]
ugliest [AND] broad-minded [AND] versatile [IMPLY] mean [PERIOD]
tired [IMPLY] tame [PERIOD]
agreeable [IMPLY] cute [PERIOD]
ambitious [IMPLY] agreeable [PERIOD]
powerful [AND] versatile [IMPLY] cute [PERIOD]
dull [AND] vivacious [AND] fancy [IMPLY] inexpensive [PERIOD]
gleaming [AND] powerful [IMPLY] gorgeous [PERIOD]
courageous [AND] cute [AND] wrong [IMPLY] rational [PERIOD]
muddy [IMPLY] gorgeous [PERIOD]
powerful [AND] inexpensive [IMPLY] courageous [PERIOD]
ambitious [IMPLY] thoughtless [PERIOD]
courageous [AND] helpful [AND] fancy [IMPLY] ambitious [PERIOD]
foolish [AND] ambitious [AND] wrong [IMPLY] powerful [PERIOD]
courageous [AND] thoughtless [IMPLY] dull [PERIOD]
courageous [IMPLY] distinct [PERIOD]
foolish [IMPLY] dull [PERIOD]
dull [IMPLY] thoughtless [PERIOD]
versatile [IMPLY] gleaming [PERIOD]
dull [IMPLY] fancy [PERIOD]
gleaming [IMPLY] inexpensive [PERIOD]
mean [AND] tame [IMPLY] clean [PERIOD]
inexpensive [IMPLY] muddy [PERIOD]
thoughtless [AND] powerful [IMPLY] gorgeous [PERIOD]
helpful [AND] distinct [AND] cute [IMPLY] ugliest [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   Cannot apply rule “helpful ∧ fancy ∧ powerful ⇒ gorgeous” because missing: helpful, fancy, powerful.
   Cannot apply rule “rational ∧ courageous ∧ agreeable ⇒ gorgeous” because missing: rational, courageous, agreeable.
   Cannot apply rule “clean ∧ tame ∧ broad-minded ⇒ gorgeous” because missing: clean, tame, broad-minded.
   Cannot apply rule “gleaming ∧ powerful ⇒ gorgeous” because missing: gleaming, powerful.
   Cannot apply rule “muddy ⇒ gorgeous” because missing: muddy.
   Cannot apply rule “thoughtless ∧ powerful ⇒ gorgeous” because missing: powerful.
",0,6
"Facts:  Alice is exuberant [PERIOD] Alice is excited [PERIOD]
Rules:
bad-tempered [IMPLY] exuberant [PERIOD]
ambitious [AND] bad-tempered [IMPLY] vivacious [PERIOD]
vivacious [AND] ambitious [IMPLY] bad-tempered [PERIOD]
exuberant [AND] ambitious [AND] attractive [IMPLY] vivacious [PERIOD]
ambitious [AND] excited [AND] vivacious [IMPLY] exuberant [PERIOD]
bad-tempered [AND] ambitious [AND] exuberant [IMPLY] attractive [PERIOD]
bad-tempered [IMPLY] attractive [PERIOD]
ambitious [IMPLY] excited [PERIOD]
ambitious [AND] bad-tempered [IMPLY] excited [PERIOD]
ambitious [IMPLY] vivacious [PERIOD]
attractive [AND] exuberant [AND] excited [IMPLY] bad-tempered [PERIOD]
ambitious [AND] bad-tempered [AND] vivacious [IMPLY] exuberant [PERIOD]
bad-tempered [IMPLY] excited [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   Cannot apply rule “ambitious ∧ bad-tempered ⇒ vivacious” because missing: ambitious, bad-tempered.
   Cannot apply rule “exuberant ∧ ambitious ∧ attractive ⇒ vivacious” because missing: ambitious, attractive.
   Cannot apply rule “ambitious ⇒ vivacious” because missing: ambitious.
",0,3
"Facts:  Alice is innocent [PERIOD] Alice is unpleasant [PERIOD] Alice is different [PERIOD] Alice is pessimistic [PERIOD]
Rules:
straightforward [AND] ambitious [AND] unpleasant [IMPLY] serious [PERIOD]
innocent [AND] ugliest [AND] pessimistic [IMPLY] careless [PERIOD]
worried [IMPLY] unpleasant [PERIOD]
worried [AND] different [AND] witty [IMPLY] pessimistic [PERIOD]
innocent [AND] ambitious [IMPLY] unpleasant [PERIOD]
victorious [IMPLY] worried [PERIOD]
straightforward [AND] witty [AND] different [IMPLY] victorious [PERIOD]
innocent [IMPLY] careless [PERIOD]
ambitious [AND] dull [AND] helpful [IMPLY] pessimistic [PERIOD]
witty [AND] cruel [IMPLY] serious [PERIOD]
zealous [AND] careless [IMPLY] helpful [PERIOD]
zealous [AND] helpful [IMPLY] different [PERIOD]
unpleasant [AND] ambitious [AND] cruel [IMPLY] careless [PERIOD]
ambitious [AND] straightforward [IMPLY] exuberant [PERIOD]
straightforward [AND] exuberant [IMPLY] dull [PERIOD]
dull [IMPLY] serious [PERIOD]
careless [AND] exuberant [AND] zealous [IMPLY] pessimistic [PERIOD]
careless [IMPLY] worried [PERIOD]
innocent [IMPLY] helpful [PERIOD]
serious [AND] unpleasant [AND] careless [IMPLY] pessimistic [PERIOD]
helpful [AND] victorious [IMPLY] exuberant [PERIOD]
serious [AND] helpful [IMPLY] zealous [PERIOD]
straightforward [IMPLY] victorious [PERIOD]
ambitious [IMPLY] straightforward [PERIOD]
pessimistic [IMPLY] unpleasant [PERIOD]
victorious [IMPLY] dull [PERIOD]
careless [AND] ugliest [AND] exuberant [IMPLY] ambitious [PERIOD]
victorious [AND] pessimistic [AND] straightforward [IMPLY] cruel [PERIOD]
worried [IMPLY] ambitious [PERIOD]
ambitious [AND] pessimistic [AND] dull [IMPLY] careless [PERIOD]
careless [AND] cruel [IMPLY] witty [PERIOD]
ambitious [AND] unpleasant [IMPLY] exuberant [PERIOD]
innocent [AND] dull [AND] helpful [IMPLY] unpleasant [PERIOD]
serious [AND] witty [AND] dull [IMPLY] exuberant [PERIOD]
victorious [AND] witty [AND] pessimistic [IMPLY] different [PERIOD]
zealous [IMPLY] dull [PERIOD]
witty [AND] zealous [AND] worried [IMPLY] dull [PERIOD]
careless [AND] witty [IMPLY] cruel [PERIOD]
dull [IMPLY] ugliest [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   innocent ⇒ careless
   careless ⇒ worried
   worried ⇒ ambitious
   ambitious ⇒ straightforward
",1,4
"Facts:  Alice is difficult [PERIOD] Alice is attentive [PERIOD] Alice is calm [PERIOD] Alice is different [PERIOD] Alice is helpful [PERIOD] Alice is sleepy [PERIOD] Alice is smart [PERIOD] Alice is quaint [PERIOD] Alice is broad-minded [PERIOD] Alice is average [PERIOD] Alice is exuberant [PERIOD] Alice is outrageous [PERIOD] Alice is spotless [PERIOD] Alice is cooperative [PERIOD] Alice is ambitious [PERIOD]
Rules:
talkative [AND] ambitious [IMPLY] sleepy [PERIOD]
careless [AND] difficult [AND] outrageous [IMPLY] cooperative [PERIOD]
helpful [AND] smart [IMPLY] different [PERIOD]
difficult [AND] helpful [IMPLY] sleepy [PERIOD]
different [AND] spotless [IMPLY] quaint [PERIOD]
talkative [IMPLY] dishonest [PERIOD]
talkative [AND] difficult [AND] careless [IMPLY] calm [PERIOD]
ambitious [IMPLY] careless [PERIOD]
dishonest [AND] calm [IMPLY] cooperative [PERIOD]
outrageous [AND] dishonest [IMPLY] helpful [PERIOD]
helpful [AND] ambitious [IMPLY] talkative [PERIOD]
sleepy [AND] powerful [IMPLY] average [PERIOD]
attentive [IMPLY] talkative [PERIOD]
average [IMPLY] ambitious [PERIOD]
exuberant [AND] spotless [AND] smart [IMPLY] outrageous [PERIOD]
quaint [AND] helpful [IMPLY] silly [PERIOD]
average [IMPLY] powerful [PERIOD]
ambitious [AND] helpful [IMPLY] attentive [PERIOD]
helpful [IMPLY] powerful [PERIOD]
average [AND] powerful [AND] broad-minded [IMPLY] outrageous [PERIOD]
exuberant [AND] quaint [IMPLY] powerful [PERIOD]
broad-minded [AND] attentive [IMPLY] exuberant [PERIOD]
exuberant [AND] average [AND] different [IMPLY] outrageous [PERIOD]
ambitious [AND] different [AND] talkative [IMPLY] attentive [PERIOD]
calm [IMPLY] quaint [PERIOD]
attentive [IMPLY] spotless [PERIOD]
dishonest [AND] silly [AND] powerful [IMPLY] calm [PERIOD]
ambitious [IMPLY] talkative [PERIOD]
spotless [AND] quaint [AND] different [IMPLY] sleepy [PERIOD]
talkative [AND] helpful [AND] dishonest [IMPLY] sleepy [PERIOD]
quaint [AND] silly [IMPLY] smart [PERIOD]
exuberant [IMPLY] ambitious [PERIOD]
broad-minded [IMPLY] outrageous [PERIOD]
smart [AND] broad-minded [AND] ambitious [IMPLY] dishonest [PERIOD]
exuberant [AND] talkative [IMPLY] cooperative [PERIOD]
sleepy [AND] broad-minded [IMPLY] powerful [PERIOD]
average [IMPLY] spotless [PERIOD]
powerful [AND] spotless [IMPLY] difficult [PERIOD]
cooperative [AND] different [AND] spotless [IMPLY] difficult [PERIOD]
spotless [IMPLY] quaint [PERIOD]
helpful [AND] quaint [AND] different [IMPLY] broad-minded [PERIOD]
different [IMPLY] exuberant [PERIOD]
spotless [AND] ambitious [IMPLY] careless [PERIOD]
exuberant [AND] broad-minded [AND] calm [IMPLY] attentive [PERIOD]
different [IMPLY] talkative [PERIOD]
cooperative [AND] smart [IMPLY] ambitious [PERIOD]
dishonest [AND] different [AND] attentive [IMPLY] average [PERIOD]
powerful [IMPLY] outrageous [PERIOD]
calm [IMPLY] attentive [PERIOD]
smart [IMPLY] silly [PERIOD]
broad-minded [AND] helpful [AND] exuberant [IMPLY] cooperative [PERIOD]
talkative [AND] attentive [IMPLY] exuberant [PERIOD]
ambitious [IMPLY] dishonest [PERIOD]
difficult [IMPLY] different [PERIOD]
dishonest [AND] talkative [AND] quaint [IMPLY] average [PERIOD]
different [AND] calm [AND] talkative [IMPLY] outrageous [PERIOD]
careless [AND] helpful [IMPLY] broad-minded [PERIOD]
smart [AND] talkative [IMPLY] dishonest [PERIOD]
different [IMPLY] silly [PERIOD]
attentive [AND] ambitious [IMPLY] calm [PERIOD]
cooperative [IMPLY] silly [PERIOD]
careless [AND] average [IMPLY] difficult [PERIOD]
sleepy [AND] attentive [IMPLY] calm [PERIOD]
cooperative [AND] attentive [IMPLY] quaint [PERIOD]
quaint [AND] careless [IMPLY] ambitious [PERIOD]
attentive [AND] careless [AND] exuberant [IMPLY] talkative [PERIOD]
calm [IMPLY] sleepy [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is outstanding [PERIOD] Alice is frightened [PERIOD] Alice is sleepy [PERIOD]
Rules:
easy [IMPLY] sleepy [PERIOD]
cooperative [IMPLY] helpful [PERIOD]
lucky [IMPLY] cooperative [PERIOD]
lucky [AND] wrong [AND] outstanding [IMPLY] easy [PERIOD]
sleepy [AND] joyous [AND] outstanding [IMPLY] unpleasant [PERIOD]
sleepy [AND] joyous [AND] stubborn [IMPLY] helpful [PERIOD]
lucky [IMPLY] joyous [PERIOD]
unpleasant [AND] easy [IMPLY] joyous [PERIOD]
lucky [AND] wrong [IMPLY] outstanding [PERIOD]
helpful [AND] sleepy [AND] easy [IMPLY] unpleasant [PERIOD]
outstanding [IMPLY] frightened [PERIOD]
frightened [AND] outstanding [AND] easy [IMPLY] unpleasant [PERIOD]
stubborn [AND] wrong [IMPLY] cooperative [PERIOD]
wrong [AND] troubled [IMPLY] easy [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   No rule concludes “stubborn.”
",0,1
"Facts:  Alice is muddy [PERIOD] Alice is troubled [PERIOD] Alice is glamorous [PERIOD] Alice is good [PERIOD] Alice is bright [PERIOD] Alice is clumsy [PERIOD] Alice is fancy [PERIOD] Alice is pessimistic [PERIOD] Alice is ugliest [PERIOD] Alice is sensible [PERIOD]
Rules:
tidy [AND] good [IMPLY] pessimistic [PERIOD]
zealous [AND] ugliest [AND] dishonest [IMPLY] strange [PERIOD]
silly [IMPLY] strange [PERIOD]
dishonest [AND] clumsy [IMPLY] sensible [PERIOD]
troubled [AND] silly [AND] bright [IMPLY] muddy [PERIOD]
tidy [AND] clumsy [AND] pessimistic [IMPLY] dishonest [PERIOD]
silly [IMPLY] troubled [PERIOD]
bright [AND] fancy [AND] dishonest [IMPLY] muddy [PERIOD]
stubborn [AND] good [AND] glamorous [IMPLY] dishonest [PERIOD]
strange [AND] good [AND] fancy [IMPLY] sincere [PERIOD]
tidy [AND] ugliest [AND] stubborn [IMPLY] silly [PERIOD]
sincere [AND] muddy [AND] glamorous [IMPLY] bright [PERIOD]
stubborn [AND] silly [AND] troubled [IMPLY] clumsy [PERIOD]
troubled [IMPLY] fancy [PERIOD]
ugliest [AND] fancy [AND] clumsy [IMPLY] sincere [PERIOD]
ugliest [AND] pessimistic [IMPLY] good [PERIOD]
cooperative [AND] sensible [AND] bright [IMPLY] dishonest [PERIOD]
troubled [AND] good [IMPLY] muddy [PERIOD]
pessimistic [IMPLY] sensible [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   Cannot apply rule “zealous ∧ ugliest ∧ dishonest ⇒ strange” because missing: zealous, dishonest.
   Cannot apply rule “silly ⇒ strange” because missing: silly.
",0,2
"Facts:  Alice is smart [PERIOD] Alice is excited [PERIOD]
Rules:
calm [IMPLY] excited [PERIOD]
bright [AND] thoughtful [AND] condemned [IMPLY] hypocritical [PERIOD]
agreeable [AND] calm [IMPLY] excited [PERIOD]
gorgeous [IMPLY] agreeable [PERIOD]
homely [AND] disgusted [AND] bright [IMPLY] condemned [PERIOD]
disgusted [IMPLY] smart [PERIOD]
agreeable [IMPLY] disgusted [PERIOD]
excited [IMPLY] condemned [PERIOD]
smart [AND] agreeable [AND] loving [IMPLY] condemned [PERIOD]
bright [AND] calm [IMPLY] hypocritical [PERIOD]
smart [IMPLY] excited [PERIOD]
agreeable [AND] smart [IMPLY] gorgeous [PERIOD]
elated [AND] loving [AND] agreeable [IMPLY] gorgeous [PERIOD]
disgusted [IMPLY] modern [PERIOD]
homely [AND] bright [IMPLY] gorgeous [PERIOD]
modern [IMPLY] agreeable [PERIOD]
gorgeous [AND] loving [AND] disgusted [IMPLY] smart [PERIOD]
loving [AND] condemned [AND] gorgeous [IMPLY] hypocritical [PERIOD]
gorgeous [AND] calm [IMPLY] condemned [PERIOD]
homely [AND] thoughtful [IMPLY] bright [PERIOD]
modern [IMPLY] homely [PERIOD]
loving [IMPLY] elated [PERIOD]
calm [IMPLY] modern [PERIOD]
elated [AND] gorgeous [IMPLY] bright [PERIOD]
homely [AND] modern [AND] gorgeous [IMPLY] elated [PERIOD]
homely [AND] hypocritical [AND] bright [IMPLY] elated [PERIOD]
smart [AND] thoughtful [IMPLY] bright [PERIOD]
disgusted [IMPLY] excited [PERIOD]
excited [AND] hypocritical [IMPLY] thoughtful [PERIOD]
homely [AND] agreeable [AND] loving [IMPLY] elated [PERIOD]
disgusted [AND] bright [AND] gorgeous [IMPLY] excited [PERIOD]
smart [AND] disgusted [IMPLY] modern [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   Cannot apply rule “loving ⇒ elated” because missing: loving.
   Cannot apply rule “homely ∧ modern ∧ gorgeous ⇒ elated” because missing: homely, modern, gorgeous.
   Cannot apply rule “homely ∧ hypocritical ∧ bright ⇒ elated” because missing: homely, hypocritical, bright.
   Cannot apply rule “homely ∧ agreeable ∧ loving ⇒ elated” because missing: homely, agreeable, loving.
",0,4
"Facts:  Alice is confused [PERIOD] Alice is talented [PERIOD] Alice is stubborn [PERIOD] Alice is comfortable [PERIOD] Alice is impatient [PERIOD]
Rules:
loving [AND] victorious [AND] intellectual [IMPLY] cute [PERIOD]
cute [AND] elated [IMPLY] long [PERIOD]
intellectual [AND] joyous [AND] elated [IMPLY] difficult [PERIOD]
talented [IMPLY] different [PERIOD]
clumsy [AND] disobedient [IMPLY] jittery [PERIOD]
difficult [IMPLY] silly [PERIOD]
strange [AND] different [AND] frail [IMPLY] cute [PERIOD]
intellectual [AND] confused [AND] stubborn [IMPLY] difficult [PERIOD]
diplomatic [AND] clumsy [IMPLY] vivacious [PERIOD]
loving [AND] strange [AND] jittery [IMPLY] talented [PERIOD]
different [AND] loving [IMPLY] impatient [PERIOD]
clumsy [AND] long [AND] strange [IMPLY] glamorous [PERIOD]
impatient [IMPLY] joyous [PERIOD]
comfortable [AND] frail [AND] victorious [IMPLY] stubborn [PERIOD]
clumsy [AND] gorgeous [AND] impatient [IMPLY] stubborn [PERIOD]
diplomatic [AND] joyous [IMPLY] anxious [PERIOD]
diplomatic [AND] confused [IMPLY] stubborn [PERIOD]
impatient [AND] gorgeous [IMPLY] strange [PERIOD]
long [AND] talented [IMPLY] frail [PERIOD]
loving [IMPLY] clumsy [PERIOD]
confused [IMPLY] elated [PERIOD]
different [AND] loving [AND] victorious [IMPLY] long [PERIOD]
gleaming [AND] silly [IMPLY] popular [PERIOD]
impatient [AND] different [IMPLY] cute [PERIOD]
long [AND] difficult [AND] popular [IMPLY] talented [PERIOD]
strange [IMPLY] popular [PERIOD]
precious [AND] disobedient [IMPLY] glamorous [PERIOD]
stubborn [IMPLY] comfortable [PERIOD]
cooperative [IMPLY] intellectual [PERIOD]
jittery [AND] stubborn [AND] gleaming [IMPLY] talented [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   impatient ⇒ joyous
   confused ⇒ elated
   Cannot apply rule “intellectual ∧ joyous ∧ elated ⇒ difficult” because missing: intellectual.
   Cannot apply rule “intellectual ∧ confused ∧ stubborn ⇒ difficult” because missing: intellectual.
",0,4
"Facts:  Alice is muddy [PERIOD] Alice is rude [PERIOD] Alice is naughty [PERIOD] Alice is exuberant [PERIOD] Alice is fragile [PERIOD] Alice is outrageous [PERIOD] Alice is horrible [PERIOD] Alice is impartial [PERIOD]
Rules:
fancy [AND] gifted [IMPLY] exuberant [PERIOD]
naughty [AND] muddy [AND] rude [IMPLY] bored [PERIOD]
sleepy [IMPLY] old-fashioned [PERIOD]
muddy [AND] worrisome [IMPLY] old-fashioned [PERIOD]
impartial [AND] old-fashioned [IMPLY] grumpy [PERIOD]
fragile [IMPLY] sleepy [PERIOD]
gifted [IMPLY] wide-eyed [PERIOD]
fragile [AND] sleepy [AND] selfish [IMPLY] grumpy [PERIOD]
outrageous [AND] bored [AND] rude [IMPLY] worrisome [PERIOD]
gifted [AND] selfish [IMPLY] naughty [PERIOD]
old-fashioned [IMPLY] muddy [PERIOD]
impartial [IMPLY] vivacious [PERIOD]
naughty [AND] ambitious [IMPLY] fancy [PERIOD]
muddy [AND] fragile [AND] bored [IMPLY] old-fashioned [PERIOD]
naughty [AND] worrisome [AND] fragile [IMPLY] ugly [PERIOD]
grumpy [AND] exuberant [IMPLY] horrible [PERIOD]
gifted [IMPLY] horrible [PERIOD]
old-fashioned [AND] rude [AND] impartial [IMPLY] gifted [PERIOD]
grumpy [IMPLY] horrible [PERIOD]
old-fashioned [IMPLY] horrible [PERIOD]
ugly [AND] naughty [AND] fancy [IMPLY] vivacious [PERIOD]
fancy [AND] worrisome [AND] fragile [IMPLY] wide-eyed [PERIOD]
vivacious [AND] gifted [AND] exuberant [IMPLY] ambitious [PERIOD]
worrisome [AND] fragile [IMPLY] bored [PERIOD]
bored [AND] worrisome [IMPLY] sleepy [PERIOD]
naughty [AND] outrageous [IMPLY] ugly [PERIOD]
ambitious [IMPLY] worrisome [PERIOD]
fancy [AND] bored [AND] selfish [IMPLY] muddy [PERIOD]
sleepy [AND] ambitious [AND] naughty [IMPLY] fancy [PERIOD]
fancy [IMPLY] grumpy [PERIOD]
rude [AND] exuberant [AND] outrageous [IMPLY] worrisome [PERIOD]
fragile [AND] ugly [AND] sleepy [IMPLY] selfish [PERIOD]
worrisome [AND] old-fashioned [AND] wide-eyed [IMPLY] sleepy [PERIOD]
rude [AND] grumpy [IMPLY] ugly [PERIOD]
horrible [AND] naughty [AND] old-fashioned [IMPLY] selfish [PERIOD]
gifted [AND] ugly [IMPLY] fancy [PERIOD]
naughty [AND] ugly [IMPLY] bored [PERIOD]
impartial [AND] rude [IMPLY] old-fashioned [PERIOD]
grumpy [AND] selfish [AND] worrisome [IMPLY] exuberant [PERIOD]
grumpy [IMPLY] impartial [PERIOD]
impartial [AND] old-fashioned [AND] naughty [IMPLY] ambitious [PERIOD]
exuberant [AND] grumpy [IMPLY] ambitious [PERIOD]
fancy [AND] impartial [IMPLY] fragile [PERIOD]
gifted [AND] ambitious [IMPLY] selfish [PERIOD]
exuberant [AND] fancy [IMPLY] naughty [PERIOD]
muddy [AND] fragile [IMPLY] rude [PERIOD]
wide-eyed [AND] ugly [AND] exuberant [IMPLY] vivacious [PERIOD]
vivacious [AND] sleepy [IMPLY] muddy [PERIOD]
bored [AND] naughty [AND] horrible [IMPLY] wide-eyed [PERIOD]
outrageous [AND] old-fashioned [AND] ambitious [IMPLY] wide-eyed [PERIOD]
exuberant [AND] grumpy [AND] naughty [IMPLY] old-fashioned [PERIOD]
selfish [AND] ambitious [AND] fancy [IMPLY] wide-eyed [PERIOD]
ugly [AND] worrisome [IMPLY] naughty [PERIOD]
selfish [AND] outrageous [IMPLY] naughty [PERIOD]
ugly [AND] rude [AND] muddy [IMPLY] selfish [PERIOD]
impartial [IMPLY] bored [PERIOD]
gifted [IMPLY] sleepy [PERIOD]
worrisome [IMPLY] horrible [PERIOD]
old-fashioned [IMPLY] exuberant [PERIOD]
gifted [IMPLY] ugly [PERIOD]
sleepy [IMPLY] fancy [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
   impartial ∧ rude ⇒ old-fashioned
   impartial ∧ old-fashioned ⇒ grumpy
",1,2
"Facts:  Alice is wrong [PERIOD]
Rules:
wrong [AND] combative [AND] gifted [IMPLY] bright [PERIOD]
quaint [AND] combative [AND] gifted [IMPLY] wrong [PERIOD]
gifted [IMPLY] wrong [PERIOD]
gifted [IMPLY] quaint [PERIOD]
weary [IMPLY] bright [PERIOD]
bright [AND] quaint [AND] wrong [IMPLY] combative [PERIOD]
combative [AND] quaint [IMPLY] weary [PERIOD]
gifted [AND] quaint [AND] combative [IMPLY] weary [PERIOD]
gifted [AND] wrong [IMPLY] weary [PERIOD]
quaint [IMPLY] bright [PERIOD]
bright [IMPLY] weary [PERIOD]
wrong [AND] weary [AND] gifted [IMPLY] bright [PERIOD]
weary [IMPLY] combative [PERIOD]
bright [AND] wrong [IMPLY] quaint [PERIOD]
quaint [AND] combative [IMPLY] bright [PERIOD]
combative [AND] wrong [IMPLY] gifted [PERIOD]
weary [AND] gifted [AND] bright [IMPLY] combative [PERIOD]
bright [IMPLY] wrong [PERIOD]
quaint [AND] gifted [IMPLY] combative [PERIOD]
wrong [AND] bright [AND] combative [IMPLY] quaint [PERIOD]
combative [AND] wrong [IMPLY] weary [PERIOD]
bright [AND] quaint [AND] weary [IMPLY] gifted [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   Cannot apply rule “bright ∧ quaint ∧ wrong ⇒ combative” because missing: bright, quaint.
   Cannot apply rule “weary ⇒ combative” because missing: weary.
   Cannot apply rule “weary ∧ gifted ∧ bright ⇒ combative” because missing: weary, gifted, bright.
   Cannot apply rule “quaint ∧ gifted ⇒ combative” because missing: quaint, gifted.
",0,4
"Facts:  Alice is disobedient [PERIOD] Alice is distinct [PERIOD] Alice is lucky [PERIOD] Alice is enchanting [PERIOD] Alice is sensible [PERIOD]
Rules:
glamorous [IMPLY] supportive [PERIOD]
rational [AND] loving [IMPLY] difficult [PERIOD]
disobedient [AND] powerful [IMPLY] worrisome [PERIOD]
famous [AND] distinct [IMPLY] innocent [PERIOD]
sensible [AND] exuberant [IMPLY] enchanting [PERIOD]
rational [IMPLY] impatient [PERIOD]
glamorous [AND] innocent [AND] wandering [IMPLY] rational [PERIOD]
difficult [IMPLY] unpleasant [PERIOD]
worrisome [AND] tired [IMPLY] anxious [PERIOD]
enchanting [AND] powerful [IMPLY] excited [PERIOD]
curious [IMPLY] innocent [PERIOD]
enchanting [IMPLY] confident [PERIOD]
impatient [AND] sensible [AND] confident [IMPLY] tired [PERIOD]
unpleasant [AND] exuberant [AND] enchanting [IMPLY] powerful [PERIOD]
glamorous [IMPLY] disobedient [PERIOD]
powerful [AND] wandering [AND] glamorous [IMPLY] tired [PERIOD]
lucky [AND] supportive [IMPLY] unpleasant [PERIOD]
glamorous [AND] wandering [AND] loving [IMPLY] impatient [PERIOD]
innocent [AND] excited [AND] wandering [IMPLY] precious [PERIOD]
exuberant [IMPLY] distinct [PERIOD]
precious [AND] sensible [AND] difficult [IMPLY] anxious [PERIOD]
lucky [IMPLY] famous [PERIOD]
spotless [AND] sensible [AND] anxious [IMPLY] rational [PERIOD]
sensible [AND] anxious [AND] confused [IMPLY] unpleasant [PERIOD]
famous [IMPLY] lucky [PERIOD]
wandering [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] precious [PERIOD]
modern [IMPLY] precious [PERIOD]
unpleasant [AND] perfect [IMPLY] lucky [PERIOD]
spotless [IMPLY] perfect [PERIOD]
lucky [AND] distinct [IMPLY] supportive [PERIOD]
modern [AND] famous [IMPLY] spotless [PERIOD]
perfect [AND] curious [IMPLY] enchanting [PERIOD]
wandering [AND] tired [IMPLY] famous [PERIOD]
powerful [AND] precious [AND] modern [IMPLY] curious [PERIOD]
impatient [IMPLY] anxious [PERIOD]
anxious [IMPLY] exuberant [PERIOD]
famous [AND] loving [IMPLY] enchanting [PERIOD]
wandering [AND] tired [IMPLY] distinct [PERIOD]
confident [IMPLY] supportive [PERIOD]
sensible [IMPLY] impatient [PERIOD]
confident [AND] impatient [AND] unpleasant [IMPLY] wandering [PERIOD]
powerful [AND] spotless [IMPLY] glamorous [PERIOD]
famous [AND] tired [AND] disobedient [IMPLY] innocent [PERIOD]
supportive [AND] anxious [IMPLY] confused [PERIOD]
enchanting [IMPLY] confused [PERIOD]
modern [AND] innocent [IMPLY] curious [PERIOD]
supportive [AND] distinct [IMPLY] sensible [PERIOD]
glamorous [AND] famous [IMPLY] wandering [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   lucky ∧ distinct ⇒ supportive
   lucky ∧ supportive ⇒ unpleasant
   sensible ⇒ impatient
   impatient ⇒ anxious
   anxious ⇒ exuberant
   unpleasant ∧ exuberant ∧ enchanting ⇒ powerful
   disobedient ∧ powerful ⇒ worrisome
",1,7
"Facts:  Alice is wrong [PERIOD] Alice is loving [PERIOD] Alice is hurt [PERIOD] Alice is hypocritical [PERIOD] Alice is calm [PERIOD]
Rules:
wrong [AND] calm [IMPLY] loving [PERIOD]
horrible [AND] calm [AND] wrong [IMPLY] loving [PERIOD]
cruel [IMPLY] horrible [PERIOD]
hurt [IMPLY] horrible [PERIOD]
loving [AND] horrible [AND] hypocritical [IMPLY] cruel [PERIOD]
hurt [AND] loving [AND] calm [IMPLY] hypocritical [PERIOD]
hypocritical [AND] cruel [IMPLY] horrible [PERIOD]
hurt [AND] cruel [IMPLY] calm [PERIOD]
calm [AND] horrible [IMPLY] cruel [PERIOD]
calm [AND] hypocritical [AND] loving [IMPLY] hurt [PERIOD]
cruel [IMPLY] hypocritical [PERIOD]
wrong [AND] loving [IMPLY] calm [PERIOD]
wrong [IMPLY] hypocritical [PERIOD]
horrible [IMPLY] calm [PERIOD]
wrong [AND] hurt [IMPLY] horrible [PERIOD]
loving [AND] hypocritical [IMPLY] cruel [PERIOD]
wrong [AND] loving [IMPLY] cruel [PERIOD]
calm [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] hurt [PERIOD]
horrible [IMPLY] wrong [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is hurt [PERIOD] Alice is intellectual [PERIOD]
Rules:
intellectual [IMPLY] hypocritical [PERIOD]
hurt [IMPLY] intellectual [PERIOD]
hurt [AND] hypocritical [AND] innocent [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] combative [PERIOD]
grumpy [AND] intellectual [AND] hypocritical [IMPLY] combative [PERIOD]
intellectual [AND] hurt [AND] hypocritical [IMPLY] innocent [PERIOD]
innocent [AND] combative [AND] hurt [IMPLY] grumpy [PERIOD]
hurt [AND] grumpy [AND] hypocritical [IMPLY] combative [PERIOD]
intellectual [AND] grumpy [AND] hypocritical [IMPLY] hurt [PERIOD]
hypocritical [AND] intellectual [AND] combative [IMPLY] hurt [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   intellectual ⇒ hypocritical
   intellectual ⇒ hypocritical
   intellectual ∧ hurt ∧ hypocritical ⇒ innocent
   hurt ∧ hypocritical ∧ innocent ⇒ grumpy
   grumpy ⇒ combative
",1,5
"Facts:  Alice is difficult [PERIOD] Alice is frantic [PERIOD] Alice is perfect [PERIOD] Alice is pleasant [PERIOD] Alice is curious [PERIOD] Alice is blushing [PERIOD] Alice is courageous [PERIOD] Alice is precious [PERIOD] Alice is popular [PERIOD] Alice is impartial [PERIOD]
Rules:
dull [AND] loving [IMPLY] frantic [PERIOD]
popular [IMPLY] sincere [PERIOD]
impartial [IMPLY] courageous [PERIOD]
courageous [AND] hypocritical [IMPLY] easy [PERIOD]
perfect [AND] impartial [AND] curious [IMPLY] calm [PERIOD]
courageous [AND] pleasant [IMPLY] hurt [PERIOD]
blushing [AND] impartial [AND] calm [IMPLY] plain [PERIOD]
courageous [AND] helpful [AND] calm [IMPLY] curious [PERIOD]
precious [AND] perfect [IMPLY] hypocritical [PERIOD]
loving [AND] sensible [AND] curious [IMPLY] perfect [PERIOD]
blushing [AND] long [IMPLY] precious [PERIOD]
frantic [AND] plain [IMPLY] perfect [PERIOD]
sincere [AND] sensible [IMPLY] dull [PERIOD]
popular [AND] pleasant [IMPLY] elated [PERIOD]
calm [AND] frantic [AND] sincere [IMPLY] sensible [PERIOD]
difficult [AND] plain [IMPLY] impartial [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   perfect ∧ impartial ∧ curious ⇒ calm
   popular ⇒ sincere
   calm ∧ frantic ∧ sincere ⇒ sensible
",1,3
"Facts:  Alice is cruel [PERIOD]
Rules:
quaint [IMPLY] tidy [PERIOD]
busy [AND] gleaming [IMPLY] silly [PERIOD]
ugly [AND] tidy [IMPLY] easy [PERIOD]
broad-minded [AND] perfect [AND] excited [IMPLY] easy [PERIOD]
broad-minded [IMPLY] weary [PERIOD]
busy [IMPLY] cruel [PERIOD]
fragile [AND] hypocritical [AND] tidy [IMPLY] popular [PERIOD]
vivacious [AND] worried [IMPLY] shiny [PERIOD]
hypocritical [AND] vivacious [AND] impartial [IMPLY] weary [PERIOD]
fragile [AND] famous [AND] curious [IMPLY] clean [PERIOD]
broad-minded [AND] light [IMPLY] hypocritical [PERIOD]
bossy [AND] outrageous [AND] excited [IMPLY] cruel [PERIOD]
spotless [AND] famous [IMPLY] outrageous [PERIOD]
spotless [IMPLY] hypocritical [PERIOD]
excited [IMPLY] difficult [PERIOD]
impartial [AND] cruel [AND] clean [IMPLY] busy [PERIOD]
cruel [IMPLY] famous [PERIOD]
famous [AND] impartial [IMPLY] difficult [PERIOD]
famous [AND] clean [IMPLY] difficult [PERIOD]
tidy [IMPLY] perfect [PERIOD]
worried [IMPLY] light [PERIOD]
light [AND] vivacious [AND] ugly [IMPLY] tidy [PERIOD]
vivacious [AND] clean [IMPLY] impartial [PERIOD]
silly [AND] famous [AND] vivacious [IMPLY] ugly [PERIOD]
difficult [AND] impartial [IMPLY] curious [PERIOD]
excited [IMPLY] weary [PERIOD]
shiny [IMPLY] fragile [PERIOD]
bossy [AND] cruel [AND] popular [IMPLY] fragile [PERIOD]
silly [AND] easy [IMPLY] light [PERIOD]
weary [AND] hypocritical [IMPLY] light [PERIOD]
light [AND] excited [IMPLY] impartial [PERIOD]
excited [IMPLY] worried [PERIOD]
worried [AND] impartial [AND] cruel [IMPLY] vivacious [PERIOD]
tidy [AND] excited [IMPLY] impartial [PERIOD]
quaint [IMPLY] cruel [PERIOD]
tidy [AND] perfect [AND] busy [IMPLY] ugly [PERIOD]
hypocritical [AND] difficult [AND] light [IMPLY] clean [PERIOD]
spotless [AND] perfect [AND] light [IMPLY] excited [PERIOD]
perfect [IMPLY] broad-minded [PERIOD]
outrageous [IMPLY] hypocritical [PERIOD]
light [IMPLY] tidy [PERIOD]
messy [IMPLY] fragile [PERIOD]
easy [AND] busy [IMPLY] outrageous [PERIOD]
perfect [IMPLY] shiny [PERIOD]
gleaming [AND] popular [AND] quaint [IMPLY] broad-minded [PERIOD]
difficult [IMPLY] bossy [PERIOD]
clean [AND] popular [IMPLY] shiny [PERIOD]
weary [AND] fragile [IMPLY] silly [PERIOD]
spotless [AND] hypocritical [AND] tense [IMPLY] tidy [PERIOD]
popular [AND] ugly [AND] light [IMPLY] bossy [PERIOD]
tidy [IMPLY] easy [PERIOD]
messy [AND] curious [AND] tense [IMPLY] perfect [PERIOD]
popular [AND] bossy [AND] perfect [IMPLY] ugly [PERIOD]
vivacious [AND] curious [IMPLY] tidy [PERIOD]
spotless [AND] tidy [IMPLY] shiny [PERIOD]
clean [AND] tense [IMPLY] broad-minded [PERIOD]
worried [AND] weary [AND] curious [IMPLY] gleaming [PERIOD]
busy [AND] vivacious [IMPLY] ugly [PERIOD]
quaint [AND] tense [AND] spotless [IMPLY] famous [PERIOD]
famous [IMPLY] tidy [PERIOD]
clean [AND] spotless [IMPLY] ugly [PERIOD]
quaint [AND] ugly [IMPLY] cruel [PERIOD]
perfect [AND] messy [IMPLY] hypocritical [PERIOD]
impartial [IMPLY] curious [PERIOD]
easy [IMPLY] gleaming [PERIOD]
spotless [AND] broad-minded [IMPLY] gleaming [PERIOD]
excited [IMPLY] easy [PERIOD]
quaint [IMPLY] curious [PERIOD]
gleaming [AND] curious [IMPLY] tense [PERIOD]
tidy [AND] fragile [IMPLY] weary [PERIOD]
fragile [AND] busy [AND] tidy [IMPLY] silly [PERIOD]
broad-minded [AND] curious [IMPLY] outrageous [PERIOD]
spotless [AND] quaint [IMPLY] impartial [PERIOD]
hypocritical [IMPLY] bossy [PERIOD]
tense [IMPLY] clean [PERIOD]
easy [IMPLY] famous [PERIOD]
busy [IMPLY] ugly [PERIOD]
perfect [IMPLY] weary [PERIOD]
cruel [AND] messy [IMPLY] light [PERIOD]
messy [AND] cruel [IMPLY] perfect [PERIOD]
messy [AND] outrageous [IMPLY] broad-minded [PERIOD]
difficult [AND] clean [AND] vivacious [IMPLY] easy [PERIOD]
cruel [AND] ugly [IMPLY] gleaming [PERIOD]
shiny [AND] difficult [IMPLY] busy [PERIOD]
tense [AND] worried [IMPLY] ugly [PERIOD]
impartial [AND] tense [AND] difficult [IMPLY] silly [PERIOD]
excited [IMPLY] tidy [PERIOD]
difficult [AND] silly [IMPLY] vivacious [PERIOD]
easy [IMPLY] impartial [PERIOD]
silly [IMPLY] shiny [PERIOD]
vivacious [AND] silly [IMPLY] difficult [PERIOD]
perfect [AND] famous [AND] messy [IMPLY] light [PERIOD]
broad-minded [AND] fragile [IMPLY] gleaming [PERIOD]
busy [AND] shiny [IMPLY] impartial [PERIOD]
light [AND] messy [AND] clean [IMPLY] outrageous [PERIOD]
tidy [AND] vivacious [AND] impartial [IMPLY] cruel [PERIOD]
worried [AND] difficult [AND] tense [IMPLY] fragile [PERIOD]
hypocritical [AND] light [IMPLY] quaint [PERIOD]
messy [AND] broad-minded [AND] light [IMPLY] quaint [PERIOD]
quaint [AND] shiny [AND] popular [IMPLY] excited [PERIOD]
gleaming [AND] tense [IMPLY] broad-minded [PERIOD]
spotless [AND] curious [IMPLY] gleaming [PERIOD]
hypocritical [AND] easy [IMPLY] popular [PERIOD]
hypocritical [AND] famous [IMPLY] excited [PERIOD]
gleaming [IMPLY] quaint [PERIOD]
light [IMPLY] difficult [PERIOD]
vivacious [IMPLY] tense [PERIOD]
perfect [IMPLY] easy [PERIOD]
clean [IMPLY] cruel [PERIOD]
vivacious [AND] famous [AND] fragile [IMPLY] light [PERIOD]
messy [AND] curious [IMPLY] gleaming [PERIOD]
outrageous [IMPLY] cruel [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   cruel ⇒ famous
   famous ⇒ tidy
   tidy ⇒ perfect
   perfect ⇒ shiny
   shiny ⇒ fragile
",1,5
"Facts:  Alice is disgusted [PERIOD] Alice is rational [PERIOD] Alice is anxious [PERIOD] Alice is mysterious [PERIOD] Alice is smart [PERIOD] Alice is long [PERIOD] Alice is adorable [PERIOD] Alice is busy [PERIOD] Alice is troubled [PERIOD] Alice is shy [PERIOD] Alice is fancy [PERIOD] Alice is excited [PERIOD] Alice is bright [PERIOD] Alice is frantic [PERIOD] Alice is condemned [PERIOD] Alice is cruel [PERIOD] Alice is tidy [PERIOD] Alice is proud [PERIOD] Alice is polite [PERIOD] Alice is broad-minded [PERIOD] Alice is inexpensive [PERIOD] Alice is impatient [PERIOD]
Rules:
shy [AND] excited [AND] mysterious [IMPLY] fancy [PERIOD]
busy [AND] broad-minded [IMPLY] condemned [PERIOD]
shy [AND] frantic [IMPLY] mysterious [PERIOD]
tidy [AND] inexpensive [AND] cruel [IMPLY] condemned [PERIOD]
broad-minded [AND] disgusted [IMPLY] bright [PERIOD]
adorable [IMPLY] excited [PERIOD]
impatient [AND] condemned [IMPLY] disgusted [PERIOD]
mysterious [AND] impatient [AND] tidy [IMPLY] polite [PERIOD]
mysterious [AND] long [AND] anxious [IMPLY] busy [PERIOD]
condemned [AND] disgusted [AND] fancy [IMPLY] troubled [PERIOD]
cruel [AND] troubled [IMPLY] smart [PERIOD]
condemned [IMPLY] gorgeous [PERIOD]
bright [AND] proud [AND] gorgeous [IMPLY] smart [PERIOD]
tidy [AND] long [IMPLY] proud [PERIOD]
disgusted [IMPLY] anxious [PERIOD]
shy [AND] impatient [AND] mysterious [IMPLY] polite [PERIOD]
excited [IMPLY] smart [PERIOD]
impatient [AND] frantic [AND] condemned [IMPLY] inexpensive [PERIOD]
adorable [AND] troubled [AND] tidy [IMPLY] mysterious [PERIOD]
condemned [IMPLY] tidy [PERIOD]
condemned [AND] excited [IMPLY] anxious [PERIOD]
smart [AND] shy [AND] adorable [IMPLY] inexpensive [PERIOD]
adorable [IMPLY] shy [PERIOD]
anxious [AND] impatient [AND] fancy [IMPLY] tidy [PERIOD]
mysterious [AND] long [IMPLY] smart [PERIOD]
inexpensive [AND] proud [AND] fancy [IMPLY] cruel [PERIOD]
gorgeous [AND] tidy [AND] disgusted [IMPLY] proud [PERIOD]
adorable [AND] bright [AND] long [IMPLY] anxious [PERIOD]
anxious [IMPLY] broad-minded [PERIOD]
broad-minded [IMPLY] adorable [PERIOD]
excited [AND] cruel [AND] impatient [IMPLY] polite [PERIOD]
broad-minded [IMPLY] disgusted [PERIOD]
condemned [AND] frantic [IMPLY] smart [PERIOD]
broad-minded [IMPLY] gorgeous [PERIOD]
mysterious [IMPLY] tidy [PERIOD]
impatient [AND] long [AND] smart [IMPLY] condemned [PERIOD]
smart [AND] rational [IMPLY] excited [PERIOD]
mysterious [AND] excited [AND] long [IMPLY] anxious [PERIOD]
inexpensive [AND] tidy [AND] condemned [IMPLY] smart [PERIOD]
disgusted [AND] adorable [IMPLY] mysterious [PERIOD]
polite [IMPLY] shy [PERIOD]
long [AND] rational [AND] gorgeous [IMPLY] adorable [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is muddy [PERIOD] Alice is fragile [PERIOD]
Rules:
fragile [AND] distinct [IMPLY] fine [PERIOD]
nervous [AND] crowded [IMPLY] wide-eyed [PERIOD]
busy [AND] troubled [IMPLY] fine [PERIOD]
innocent [AND] crowded [AND] versatile [IMPLY] troubled [PERIOD]
fearless [IMPLY] rational [PERIOD]
helpless [AND] busy [IMPLY] versatile [PERIOD]
plain [AND] helpless [IMPLY] wide-eyed [PERIOD]
fine [AND] fearless [AND] nervous [IMPLY] amused [PERIOD]
helpless [AND] wide-eyed [AND] amused [IMPLY] distinct [PERIOD]
stormy [IMPLY] innocent [PERIOD]
nervous [IMPLY] fearless [PERIOD]
fearless [AND] innocent [IMPLY] combative [PERIOD]
nervous [AND] pleasant [AND] plain [IMPLY] cruel [PERIOD]
crowded [AND] troubled [IMPLY] stormy [PERIOD]
troubled [AND] innocent [IMPLY] distinct [PERIOD]
fragile [IMPLY] amused [PERIOD]
thoughtful [IMPLY] amused [PERIOD]
versatile [IMPLY] cruel [PERIOD]
plain [AND] fine [AND] nervous [IMPLY] fearless [PERIOD]
rational [AND] cruel [IMPLY] muddy [PERIOD]
horrible [IMPLY] busy [PERIOD]
amused [AND] stormy [AND] cruel [IMPLY] helpless [PERIOD]
distinct [AND] stormy [IMPLY] fragile [PERIOD]
muddy [IMPLY] bossy [PERIOD]
thoughtful [IMPLY] horrible [PERIOD]
innocent [AND] pleasant [IMPLY] fearless [PERIOD]
busy [IMPLY] rational [PERIOD]
fragile [AND] horrible [IMPLY] nervous [PERIOD]
distinct [AND] combative [IMPLY] troubled [PERIOD]
bossy [AND] helpless [IMPLY] versatile [PERIOD]
thoughtful [AND] fearless [AND] fragile [IMPLY] fine [PERIOD]
bossy [AND] versatile [IMPLY] busy [PERIOD]
innocent [IMPLY] nervous [PERIOD]
amused [AND] distinct [IMPLY] nervous [PERIOD]
innocent [IMPLY] horrible [PERIOD]
bossy [AND] muddy [AND] distinct [IMPLY] wide-eyed [PERIOD]
innocent [IMPLY] plain [PERIOD]
horrible [AND] bossy [IMPLY] nervous [PERIOD]
plain [IMPLY] innocent [PERIOD]
horrible [AND] thoughtful [IMPLY] plain [PERIOD]
stormy [AND] bossy [IMPLY] fine [PERIOD]
versatile [AND] stormy [IMPLY] fine [PERIOD]
busy [AND] crowded [AND] innocent [IMPLY] amused [PERIOD]
thoughtful [AND] innocent [IMPLY] bossy [PERIOD]
wide-eyed [AND] busy [IMPLY] crowded [PERIOD]
muddy [AND] plain [IMPLY] distinct [PERIOD]
rational [AND] bossy [AND] busy [IMPLY] plain [PERIOD]
nervous [AND] innocent [AND] muddy [IMPLY] thoughtful [PERIOD]
nervous [AND] rational [IMPLY] innocent [PERIOD]
nervous [IMPLY] fine [PERIOD]
versatile [IMPLY] horrible [PERIOD]
amused [AND] muddy [AND] distinct [IMPLY] combative [PERIOD]
pleasant [IMPLY] bossy [PERIOD]
wide-eyed [AND] bossy [AND] plain [IMPLY] stormy [PERIOD]
horrible [AND] versatile [IMPLY] innocent [PERIOD]
crowded [IMPLY] plain [PERIOD]
cruel [AND] wide-eyed [AND] troubled [IMPLY] rational [PERIOD]
muddy [AND] thoughtful [IMPLY] helpless [PERIOD]
troubled [AND] fragile [IMPLY] stormy [PERIOD]
pleasant [AND] bossy [IMPLY] plain [PERIOD]
fine [IMPLY] distinct [PERIOD]
thoughtful [AND] rational [IMPLY] horrible [PERIOD]
pleasant [AND] distinct [IMPLY] troubled [PERIOD]
busy [AND] versatile [IMPLY] muddy [PERIOD]
busy [AND] nervous [IMPLY] bossy [PERIOD]
bossy [IMPLY] rational [PERIOD]
busy [AND] innocent [AND] pleasant [IMPLY] muddy [PERIOD]
helpless [AND] plain [IMPLY] fragile [PERIOD]
rational [AND] busy [IMPLY] muddy [PERIOD]
pleasant [IMPLY] stormy [PERIOD]
troubled [IMPLY] versatile [PERIOD]
pleasant [IMPLY] thoughtful [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   Cannot apply rule “innocent ∧ crowded ∧ versatile ⇒ troubled” because missing: innocent, crowded, versatile.
   Cannot apply rule “distinct ∧ combative ⇒ troubled” because missing: distinct, combative.
   Cannot apply rule “pleasant ∧ distinct ⇒ troubled” because missing: pleasant, distinct.
",0,3
"Facts:  Alice is impartial [PERIOD] Alice is polite [PERIOD] Alice is distinct [PERIOD]
Rules:
distinct [AND] polite [IMPLY] broad-minded [PERIOD]
distinct [AND] embarrassed [IMPLY] impartial [PERIOD]
polite [AND] impartial [AND] tender [IMPLY] broad-minded [PERIOD]
broad-minded [AND] impartial [AND] polite [IMPLY] distinct [PERIOD]
broad-minded [AND] embarrassed [AND] impartial [IMPLY] tender [PERIOD]
polite [AND] broad-minded [IMPLY] embarrassed [PERIOD]
polite [IMPLY] broad-minded [PERIOD]
broad-minded [AND] impartial [IMPLY] embarrassed [PERIOD]
tender [AND] distinct [IMPLY] polite [PERIOD]
impartial [AND] tender [IMPLY] distinct [PERIOD]
distinct [AND] embarrassed [IMPLY] polite [PERIOD]
tender [AND] polite [AND] broad-minded [IMPLY] distinct [PERIOD]
impartial [AND] polite [IMPLY] tender [PERIOD]
embarrassed [AND] distinct [AND] polite [IMPLY] tender [PERIOD]
distinct [AND] impartial [AND] embarrassed [IMPLY] tender [PERIOD]
impartial [IMPLY] tender [PERIOD]
tender [IMPLY] polite [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   distinct ∧ polite ⇒ broad-minded
   polite ∧ broad-minded ⇒ embarrassed
",1,2
"Facts:  Alice is mean [PERIOD] Alice is charming [PERIOD]
Rules:
foolish [IMPLY] bored [PERIOD]
stormy [IMPLY] hurt [PERIOD]
bored [AND] light [IMPLY] hurt [PERIOD]
stormy [AND] mean [AND] messy [IMPLY] charming [PERIOD]
messy [AND] charming [IMPLY] bored [PERIOD]
foolish [IMPLY] wandering [PERIOD]
charming [IMPLY] hurt [PERIOD]
bored [IMPLY] helpful [PERIOD]
mean [AND] charming [AND] light [IMPLY] messy [PERIOD]
bored [AND] hurt [IMPLY] mean [PERIOD]
light [AND] mean [AND] hurt [IMPLY] bored [PERIOD]
hurt [IMPLY] light [PERIOD]
foolish [AND] charming [IMPLY] light [PERIOD]
Query: Alice is helpful [PERIOD]","Proof chain:
   charming ⇒ hurt
   hurt ⇒ light
   charming ⇒ hurt
   light ∧ mean ∧ hurt ⇒ bored
   bored ⇒ helpful
",1,5
"Facts:  Alice is victorious [PERIOD] Alice is bright [PERIOD]
Rules:
selfish [AND] stubborn [AND] victorious [IMPLY] joyous [PERIOD]
selfish [IMPLY] joyous [PERIOD]
victorious [IMPLY] joyous [PERIOD]
joyous [AND] stubborn [IMPLY] wide-eyed [PERIOD]
bright [IMPLY] joyous [PERIOD]
wide-eyed [AND] stubborn [IMPLY] bright [PERIOD]
selfish [IMPLY] stubborn [PERIOD]
victorious [AND] selfish [IMPLY] stubborn [PERIOD]
bright [AND] wide-eyed [AND] selfish [IMPLY] stubborn [PERIOD]
joyous [IMPLY] wide-eyed [PERIOD]
bright [IMPLY] victorious [PERIOD]
stubborn [IMPLY] bright [PERIOD]
wide-eyed [IMPLY] joyous [PERIOD]
selfish [IMPLY] victorious [PERIOD]
wide-eyed [AND] victorious [IMPLY] joyous [PERIOD]
stubborn [AND] selfish [IMPLY] bright [PERIOD]
stubborn [AND] joyous [AND] selfish [IMPLY] bright [PERIOD]
joyous [AND] selfish [IMPLY] stubborn [PERIOD]
bright [AND] wide-eyed [IMPLY] victorious [PERIOD]
stubborn [IMPLY] selfish [PERIOD]
joyous [AND] victorious [IMPLY] stubborn [PERIOD]
stubborn [AND] wide-eyed [AND] victorious [IMPLY] joyous [PERIOD]
wide-eyed [AND] bright [AND] stubborn [IMPLY] selfish [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   bright ⇒ joyous
   joyous ∧ victorious ⇒ stubborn
",1,2
"Facts: 
Rules:
thoughtful [AND] curious [AND] talented [IMPLY] modern [PERIOD]
versatile [AND] worried [AND] ugly [IMPLY] plain [PERIOD]
versatile [IMPLY] cruel [PERIOD]
jittery [AND] versatile [IMPLY] ugly [PERIOD]
worried [AND] jittery [IMPLY] curious [PERIOD]
victorious [AND] modern [AND] thoughtful [IMPLY] glamorous [PERIOD]
thoughtful [AND] glamorous [IMPLY] jittery [PERIOD]
worried [IMPLY] cruel [PERIOD]
worried [AND] jittery [AND] talented [IMPLY] modern [PERIOD]
jittery [AND] curious [IMPLY] thoughtful [PERIOD]
worried [AND] modern [IMPLY] talented [PERIOD]
jittery [AND] worried [IMPLY] thoughtful [PERIOD]
cruel [AND] victorious [AND] jittery [IMPLY] curious [PERIOD]
glamorous [AND] cruel [AND] talented [IMPLY] plain [PERIOD]
thoughtful [AND] ugly [AND] glamorous [IMPLY] worried [PERIOD]
cruel [AND] thoughtful [AND] modern [IMPLY] plain [PERIOD]
talented [AND] victorious [IMPLY] versatile [PERIOD]
victorious [AND] worried [IMPLY] talented [PERIOD]
worried [AND] glamorous [AND] victorious [IMPLY] thoughtful [PERIOD]
curious [AND] glamorous [IMPLY] cruel [PERIOD]
plain [AND] versatile [AND] curious [IMPLY] thoughtful [PERIOD]
ugly [AND] victorious [AND] plain [IMPLY] jittery [PERIOD]
thoughtful [IMPLY] versatile [PERIOD]
talented [IMPLY] worried [PERIOD]
versatile [AND] victorious [AND] ugly [IMPLY] jittery [PERIOD]
plain [AND] jittery [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] worried [PERIOD]
curious [AND] modern [IMPLY] jittery [PERIOD]
plain [IMPLY] victorious [PERIOD]
curious [AND] ugly [AND] glamorous [IMPLY] talented [PERIOD]
curious [AND] jittery [AND] worried [IMPLY] modern [PERIOD]
victorious [AND] jittery [IMPLY] worried [PERIOD]
talented [AND] cruel [IMPLY] curious [PERIOD]
plain [IMPLY] modern [PERIOD]
thoughtful [AND] cruel [AND] jittery [IMPLY] plain [PERIOD]
curious [AND] ugly [IMPLY] worried [PERIOD]
plain [AND] cruel [IMPLY] versatile [PERIOD]
curious [AND] worried [AND] talented [IMPLY] ugly [PERIOD]
talented [AND] versatile [AND] jittery [IMPLY] ugly [PERIOD]
plain [AND] ugly [IMPLY] worried [PERIOD]
versatile [AND] worried [IMPLY] jittery [PERIOD]
victorious [IMPLY] jittery [PERIOD]
glamorous [IMPLY] talented [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
   Cannot apply rule “thoughtful ∧ ugly ∧ glamorous ⇒ worried” because missing: thoughtful, ugly, glamorous.
   Cannot apply rule “talented ⇒ worried” because missing: talented.
   Cannot apply rule “glamorous ⇒ worried” because missing: glamorous.
   Cannot apply rule “victorious ∧ jittery ⇒ worried” because missing: victorious, jittery.
   Cannot apply rule “curious ∧ ugly ⇒ worried” because missing: curious, ugly.
   Cannot apply rule “plain ∧ ugly ⇒ worried” because missing: plain, ugly.
",0,6
"Facts:  Alice is powerful [PERIOD] Alice is nervous [PERIOD]
Rules:
foolish [AND] powerful [AND] mysterious [IMPLY] disgusted [PERIOD]
powerful [AND] gifted [AND] inexpensive [IMPLY] grumpy [PERIOD]
mysterious [IMPLY] innocent [PERIOD]
serious [IMPLY] bad-tempered [PERIOD]
innocent [IMPLY] tense [PERIOD]
crowded [AND] innocent [AND] gifted [IMPLY] grumpy [PERIOD]
mysterious [AND] bad-tempered [IMPLY] ugly [PERIOD]
witty [AND] tense [IMPLY] sincere [PERIOD]
gifted [AND] grumpy [AND] disgusted [IMPLY] mysterious [PERIOD]
tense [AND] nervous [IMPLY] ugly [PERIOD]
foolish [IMPLY] witty [PERIOD]
bad-tempered [IMPLY] mysterious [PERIOD]
innocent [AND] gifted [AND] inexpensive [IMPLY] foolish [PERIOD]
gifted [IMPLY] powerful [PERIOD]
crowded [AND] sincere [AND] gifted [IMPLY] disgusted [PERIOD]
inexpensive [AND] nervous [AND] powerful [IMPLY] silly [PERIOD]
grumpy [AND] disgusted [AND] tense [IMPLY] serious [PERIOD]
bad-tempered [AND] nervous [IMPLY] innocent [PERIOD]
nervous [AND] tense [IMPLY] innocent [PERIOD]
tense [IMPLY] powerful [PERIOD]
tense [AND] disgusted [AND] silly [IMPLY] grumpy [PERIOD]
serious [IMPLY] grumpy [PERIOD]
nervous [AND] serious [IMPLY] foolish [PERIOD]
witty [AND] gifted [AND] nervous [IMPLY] powerful [PERIOD]
grumpy [AND] disgusted [AND] inexpensive [IMPLY] mysterious [PERIOD]
bad-tempered [IMPLY] tense [PERIOD]
bad-tempered [AND] crowded [IMPLY] innocent [PERIOD]
inexpensive [IMPLY] nervous [PERIOD]
mysterious [AND] bad-tempered [AND] foolish [IMPLY] witty [PERIOD]
bad-tempered [AND] foolish [AND] inexpensive [IMPLY] serious [PERIOD]
disgusted [AND] nervous [AND] bad-tempered [IMPLY] serious [PERIOD]
crowded [AND] disgusted [AND] powerful [IMPLY] inexpensive [PERIOD]
foolish [IMPLY] mysterious [PERIOD]
serious [IMPLY] gifted [PERIOD]
bad-tempered [AND] mysterious [AND] silly [IMPLY] gifted [PERIOD]
bad-tempered [AND] disgusted [IMPLY] innocent [PERIOD]
crowded [AND] ugly [IMPLY] powerful [PERIOD]
serious [AND] sincere [AND] nervous [IMPLY] gifted [PERIOD]
innocent [AND] ugly [AND] crowded [IMPLY] inexpensive [PERIOD]
ugly [AND] foolish [IMPLY] crowded [PERIOD]
inexpensive [AND] silly [AND] disgusted [IMPLY] gifted [PERIOD]
silly [IMPLY] witty [PERIOD]
crowded [AND] nervous [AND] witty [IMPLY] bad-tempered [PERIOD]
nervous [AND] foolish [IMPLY] tense [PERIOD]
powerful [AND] bad-tempered [IMPLY] tense [PERIOD]
mysterious [AND] sincere [AND] inexpensive [IMPLY] foolish [PERIOD]
tense [AND] crowded [AND] gifted [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] innocent [IMPLY] witty [PERIOD]
crowded [AND] tense [AND] inexpensive [IMPLY] gifted [PERIOD]
gifted [AND] witty [AND] powerful [IMPLY] bad-tempered [PERIOD]
inexpensive [AND] ugly [IMPLY] tense [PERIOD]
grumpy [AND] mysterious [IMPLY] innocent [PERIOD]
crowded [IMPLY] serious [PERIOD]
serious [AND] tense [AND] bad-tempered [IMPLY] ugly [PERIOD]
crowded [AND] mysterious [IMPLY] sincere [PERIOD]
innocent [AND] foolish [IMPLY] nervous [PERIOD]
ugly [IMPLY] sincere [PERIOD]
inexpensive [AND] crowded [AND] nervous [IMPLY] witty [PERIOD]
tense [AND] witty [AND] grumpy [IMPLY] disgusted [PERIOD]
gifted [IMPLY] crowded [PERIOD]
powerful [AND] grumpy [AND] disgusted [IMPLY] bad-tempered [PERIOD]
disgusted [AND] sincere [AND] crowded [IMPLY] serious [PERIOD]
inexpensive [AND] tense [AND] crowded [IMPLY] bad-tempered [PERIOD]
nervous [AND] inexpensive [AND] gifted [IMPLY] tense [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   Cannot apply rule “innocent ⇒ tense” because missing: innocent.
   Cannot apply rule “bad-tempered ⇒ tense” because missing: bad-tempered.
   Cannot apply rule “nervous ∧ foolish ⇒ tense” because missing: foolish.
   Cannot apply rule “powerful ∧ bad-tempered ⇒ tense” because missing: bad-tempered.
   Cannot apply rule “inexpensive ∧ ugly ⇒ tense” because missing: inexpensive, ugly.
   Cannot apply rule “nervous ∧ inexpensive ∧ gifted ⇒ tense” because missing: inexpensive, gifted.
",0,6
"Facts: 
Rules:
supportive [IMPLY] inexpensive [PERIOD]
elated [AND] ugly [AND] spotless [IMPLY] versatile [PERIOD]
elated [AND] versatile [IMPLY] fearless [PERIOD]
spotless [AND] long [AND] strange [IMPLY] dull [PERIOD]
dull [IMPLY] elated [PERIOD]
versatile [IMPLY] perfect [PERIOD]
elated [IMPLY] dishonest [PERIOD]
ugly [IMPLY] excited [PERIOD]
strange [AND] agreeable [AND] perfect [IMPLY] stormy [PERIOD]
supportive [AND] dishonest [AND] dull [IMPLY] spotless [PERIOD]
elated [IMPLY] versatile [PERIOD]
inexpensive [AND] charming [IMPLY] agreeable [PERIOD]
stormy [AND] frantic [AND] perfect [IMPLY] dull [PERIOD]
agreeable [AND] excited [IMPLY] frantic [PERIOD]
inexpensive [AND] elated [IMPLY] agreeable [PERIOD]
versatile [IMPLY] charming [PERIOD]
charming [AND] strange [IMPLY] agreeable [PERIOD]
long [IMPLY] outrageous [PERIOD]
elated [AND] excited [IMPLY] crowded [PERIOD]
perfect [AND] charming [IMPLY] dishonest [PERIOD]
strange [AND] dishonest [AND] versatile [IMPLY] ugly [PERIOD]
frantic [AND] perfect [AND] spotless [IMPLY] crowded [PERIOD]
outrageous [IMPLY] dishonest [PERIOD]
spotless [AND] excited [IMPLY] charming [PERIOD]
agreeable [AND] stormy [AND] versatile [IMPLY] strange [PERIOD]
charming [AND] excited [IMPLY] fearless [PERIOD]
supportive [AND] elated [AND] inexpensive [IMPLY] dishonest [PERIOD]
long [AND] elated [AND] inexpensive [IMPLY] dishonest [PERIOD]
perfect [AND] stormy [IMPLY] strange [PERIOD]
spotless [AND] dishonest [IMPLY] inexpensive [PERIOD]
versatile [AND] excited [IMPLY] strange [PERIOD]
ugly [AND] inexpensive [IMPLY] supportive [PERIOD]
elated [AND] dull [AND] fearless [IMPLY] outrageous [PERIOD]
supportive [AND] long [IMPLY] spotless [PERIOD]
frantic [AND] agreeable [IMPLY] dishonest [PERIOD]
agreeable [AND] dishonest [AND] outrageous [IMPLY] supportive [PERIOD]
frantic [AND] excited [IMPLY] agreeable [PERIOD]
stormy [AND] strange [AND] long [IMPLY] frantic [PERIOD]
long [AND] agreeable [AND] dull [IMPLY] crowded [PERIOD]
outrageous [AND] excited [IMPLY] dishonest [PERIOD]
outrageous [AND] agreeable [AND] excited [IMPLY] versatile [PERIOD]
crowded [AND] frantic [AND] spotless [IMPLY] supportive [PERIOD]
dishonest [IMPLY] fearless [PERIOD]
crowded [AND] stormy [IMPLY] agreeable [PERIOD]
elated [IMPLY] crowded [PERIOD]
excited [AND] crowded [AND] outrageous [IMPLY] inexpensive [PERIOD]
perfect [IMPLY] excited [PERIOD]
supportive [AND] inexpensive [AND] spotless [IMPLY] fearless [PERIOD]
fearless [AND] spotless [IMPLY] ugly [PERIOD]
outrageous [AND] long [AND] inexpensive [IMPLY] supportive [PERIOD]
elated [AND] inexpensive [IMPLY] versatile [PERIOD]
stormy [AND] versatile [IMPLY] agreeable [PERIOD]
perfect [IMPLY] spotless [PERIOD]
versatile [IMPLY] inexpensive [PERIOD]
perfect [IMPLY] elated [PERIOD]
crowded [AND] frantic [IMPLY] strange [PERIOD]
inexpensive [IMPLY] crowded [PERIOD]
supportive [AND] dishonest [IMPLY] outrageous [PERIOD]
charming [AND] ugly [AND] stormy [IMPLY] agreeable [PERIOD]
elated [AND] frantic [AND] agreeable [IMPLY] charming [PERIOD]
supportive [AND] versatile [AND] spotless [IMPLY] fearless [PERIOD]
versatile [AND] long [IMPLY] supportive [PERIOD]
dishonest [IMPLY] supportive [PERIOD]
dull [AND] elated [IMPLY] supportive [PERIOD]
crowded [IMPLY] charming [PERIOD]
excited [AND] dull [AND] versatile [IMPLY] perfect [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   Cannot apply rule “strange ∧ agreeable ∧ perfect ⇒ stormy” because missing: strange, agreeable, perfect.
",0,1
"Facts: 
Rules:
rational [AND] polite [AND] clumsy [IMPLY] shiny [PERIOD]
calm [AND] frantic [AND] stubborn [IMPLY] elegant [PERIOD]
plain [AND] powerful [IMPLY] calm [PERIOD]
spotless [IMPLY] frantic [PERIOD]
calm [AND] confident [AND] frantic [IMPLY] plain [PERIOD]
plain [IMPLY] calm [PERIOD]
versatile [AND] clumsy [IMPLY] polite [PERIOD]
rational [AND] confident [AND] versatile [IMPLY] quaint [PERIOD]
pleasant [AND] powerful [AND] rational [IMPLY] polite [PERIOD]
spotless [AND] elegant [IMPLY] plain [PERIOD]
confident [AND] plain [AND] quaint [IMPLY] frantic [PERIOD]
quaint [IMPLY] polite [PERIOD]
quaint [AND] stubborn [IMPLY] plain [PERIOD]
elegant [AND] calm [AND] plain [IMPLY] spotless [PERIOD]
impatient [IMPLY] smart [PERIOD]
confident [AND] calm [IMPLY] pleasant [PERIOD]
stubborn [IMPLY] spotless [PERIOD]
pleasant [IMPLY] versatile [PERIOD]
calm [IMPLY] polite [PERIOD]
polite [AND] shiny [AND] frantic [IMPLY] clumsy [PERIOD]
polite [IMPLY] impatient [PERIOD]
spotless [AND] clumsy [IMPLY] confident [PERIOD]
powerful [IMPLY] rational [PERIOD]
elegant [IMPLY] calm [PERIOD]
spotless [AND] clumsy [AND] stubborn [IMPLY] attentive [PERIOD]
quaint [AND] clumsy [AND] powerful [IMPLY] rational [PERIOD]
frantic [AND] stubborn [IMPLY] spotless [PERIOD]
quaint [AND] spotless [AND] rational [IMPLY] pleasant [PERIOD]
smart [AND] elegant [AND] calm [IMPLY] confident [PERIOD]
spotless [AND] pleasant [IMPLY] clumsy [PERIOD]
powerful [IMPLY] clumsy [PERIOD]
versatile [AND] attentive [IMPLY] pleasant [PERIOD]
versatile [AND] clumsy [IMPLY] spotless [PERIOD]
impatient [IMPLY] calm [PERIOD]
polite [IMPLY] powerful [PERIOD]
attentive [AND] quaint [IMPLY] calm [PERIOD]
shiny [IMPLY] quaint [PERIOD]
rational [IMPLY] frantic [PERIOD]
elegant [AND] spotless [IMPLY] powerful [PERIOD]
versatile [AND] rational [AND] pleasant [IMPLY] polite [PERIOD]
frantic [AND] rational [IMPLY] confident [PERIOD]
stubborn [AND] impatient [AND] smart [IMPLY] elegant [PERIOD]
frantic [AND] rational [IMPLY] clumsy [PERIOD]
polite [AND] impatient [IMPLY] quaint [PERIOD]
shiny [AND] confident [AND] plain [IMPLY] stubborn [PERIOD]
pleasant [AND] shiny [AND] rational [IMPLY] elegant [PERIOD]
clumsy [AND] spotless [AND] pleasant [IMPLY] attentive [PERIOD]
versatile [AND] impatient [IMPLY] shiny [PERIOD]
confident [IMPLY] attentive [PERIOD]
pleasant [AND] plain [IMPLY] stubborn [PERIOD]
plain [AND] smart [AND] elegant [IMPLY] powerful [PERIOD]
rational [IMPLY] powerful [PERIOD]
confident [IMPLY] elegant [PERIOD]
smart [AND] frantic [AND] versatile [IMPLY] attentive [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   Cannot apply rule “plain ∧ powerful ⇒ calm” because missing: plain, powerful.
   Cannot apply rule “plain ⇒ calm” because missing: plain.
   Cannot apply rule “elegant ⇒ calm” because missing: elegant.
   Cannot apply rule “impatient ⇒ calm” because missing: impatient.
   Cannot apply rule “attentive ∧ quaint ⇒ calm” because missing: attentive, quaint.
",0,5
"Facts:  Alice is modern [PERIOD] Alice is embarrassed [PERIOD] Alice is glamorous [PERIOD] Alice is courageous [PERIOD] Alice is blushing [PERIOD] Alice is distinct [PERIOD]
Rules:
weary [AND] glamorous [AND] strange [IMPLY] gorgeous [PERIOD]
quaint [IMPLY] modern [PERIOD]
plain [AND] cute [IMPLY] thoughtful [PERIOD]
tired [AND] embarrassed [IMPLY] pessimistic [PERIOD]
weary [IMPLY] plain [PERIOD]
tired [IMPLY] supportive [PERIOD]
popular [AND] embarrassed [AND] quaint [IMPLY] pessimistic [PERIOD]
gorgeous [IMPLY] rude [PERIOD]
popular [AND] helpful [AND] plain [IMPLY] attractive [PERIOD]
worried [AND] cute [IMPLY] modern [PERIOD]
blushing [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] strange [PERIOD]
cute [AND] quaint [IMPLY] helpful [PERIOD]
friendly [AND] plain [IMPLY] rude [PERIOD]
helpful [AND] strange [AND] rude [IMPLY] blushing [PERIOD]
pessimistic [AND] worried [IMPLY] attractive [PERIOD]
rude [AND] thoughtful [IMPLY] popular [PERIOD]
blushing [IMPLY] rude [PERIOD]
modern [AND] quaint [AND] tired [IMPLY] weary [PERIOD]
rude [AND] modern [IMPLY] embarrassed [PERIOD]
gorgeous [AND] helpful [IMPLY] worried [PERIOD]
plain [AND] cute [IMPLY] popular [PERIOD]
helpful [AND] weary [AND] friendly [IMPLY] attractive [PERIOD]
gorgeous [IMPLY] quaint [PERIOD]
thoughtful [IMPLY] rude [PERIOD]
attractive [AND] pessimistic [AND] cute [IMPLY] courageous [PERIOD]
aggressive [AND] gorgeous [AND] strange [IMPLY] embarrassed [PERIOD]
aggressive [AND] thoughtful [IMPLY] popular [PERIOD]
tired [IMPLY] embarrassed [PERIOD]
attractive [IMPLY] popular [PERIOD]
glamorous [AND] blushing [IMPLY] embarrassed [PERIOD]
aggressive [AND] modern [IMPLY] helpful [PERIOD]
aggressive [AND] distinct [IMPLY] tired [PERIOD]
pessimistic [IMPLY] strange [PERIOD]
glamorous [AND] attractive [AND] modern [IMPLY] gorgeous [PERIOD]
strange [IMPLY] worried [PERIOD]
courageous [AND] rude [IMPLY] pessimistic [PERIOD]
cute [AND] weary [IMPLY] helpful [PERIOD]
tired [AND] quaint [IMPLY] worried [PERIOD]
popular [AND] thoughtful [IMPLY] cute [PERIOD]
courageous [IMPLY] attractive [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   courageous ⇒ attractive
   glamorous ∧ attractive ∧ modern ⇒ gorgeous
   gorgeous ⇒ quaint
",1,3
"Facts:  Alice is impatient [PERIOD] Alice is naughty [PERIOD] Alice is thoughtless [PERIOD] Alice is pleasant [PERIOD] Alice is beautiful [PERIOD] Alice is fearless [PERIOD] Alice is sincere [PERIOD] Alice is shiny [PERIOD] Alice is sensible [PERIOD] Alice is silly [PERIOD] Alice is wrong [PERIOD] Alice is curious [PERIOD] Alice is stubborn [PERIOD] Alice is adorable [PERIOD] Alice is spotless [PERIOD] Alice is bad-tempered [PERIOD] Alice is inquisitive [PERIOD] Alice is lucky [PERIOD] Alice is gifted [PERIOD] Alice is hilarious [PERIOD] Alice is helpful [PERIOD] Alice is innocent [PERIOD] Alice is strange [PERIOD] Alice is weary [PERIOD] Alice is elegant [PERIOD] Alice is tender [PERIOD] Alice is exuberant [PERIOD] Alice is agreeable [PERIOD] Alice is hurt [PERIOD]
Rules:
hilarious [AND] strange [IMPLY] fearless [PERIOD]
sincere [AND] fearless [AND] silly [IMPLY] thoughtless [PERIOD]
curious [IMPLY] wrong [PERIOD]
silly [IMPLY] tender [PERIOD]
strange [AND] adorable [AND] silly [IMPLY] innocent [PERIOD]
hurt [AND] hilarious [IMPLY] spotless [PERIOD]
exuberant [AND] adorable [IMPLY] fearless [PERIOD]
bad-tempered [IMPLY] exuberant [PERIOD]
gifted [AND] weary [AND] fearless [IMPLY] troubled [PERIOD]
lucky [IMPLY] fearless [PERIOD]
adorable [IMPLY] sincere [PERIOD]
wrong [AND] sensible [IMPLY] silly [PERIOD]
helpful [AND] silly [AND] thoughtless [IMPLY] sincere [PERIOD]
elegant [AND] tender [IMPLY] troubled [PERIOD]
adorable [AND] bad-tempered [IMPLY] sensible [PERIOD]
spotless [AND] pleasant [AND] lucky [IMPLY] sincere [PERIOD]
strange [AND] bad-tempered [AND] inquisitive [IMPLY] helpful [PERIOD]
hilarious [IMPLY] sensible [PERIOD]
exuberant [AND] adorable [IMPLY] lucky [PERIOD]
stubborn [AND] lucky [AND] exuberant [IMPLY] adorable [PERIOD]
pleasant [AND] gifted [IMPLY] lucky [PERIOD]
strange [AND] exuberant [AND] hilarious [IMPLY] adorable [PERIOD]
stubborn [AND] shiny [AND] thoughtless [IMPLY] sincere [PERIOD]
pleasant [AND] troubled [AND] beautiful [IMPLY] curious [PERIOD]
stubborn [IMPLY] tender [PERIOD]
weary [IMPLY] innocent [PERIOD]
lucky [AND] tender [AND] pleasant [IMPLY] elegant [PERIOD]
helpful [IMPLY] exuberant [PERIOD]
inquisitive [IMPLY] shiny [PERIOD]
weary [AND] curious [AND] elegant [IMPLY] beautiful [PERIOD]
hurt [AND] beautiful [IMPLY] exuberant [PERIOD]
shiny [AND] tender [AND] innocent [IMPLY] naughty [PERIOD]
elegant [AND] lucky [IMPLY] bad-tempered [PERIOD]
lucky [IMPLY] hilarious [PERIOD]
tender [IMPLY] weary [PERIOD]
hurt [IMPLY] bad-tempered [PERIOD]
curious [AND] tender [AND] thoughtless [IMPLY] spotless [PERIOD]
innocent [AND] hurt [AND] weary [IMPLY] curious [PERIOD]
agreeable [AND] wrong [IMPLY] pleasant [PERIOD]
adorable [AND] agreeable [AND] lucky [IMPLY] shiny [PERIOD]
naughty [AND] wrong [IMPLY] inquisitive [PERIOD]
shiny [AND] helpful [IMPLY] weary [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is disobedient [PERIOD] Alice is modern [PERIOD]
Rules:
Query: Alice is difficult [PERIOD]","Proof chain:
   No rule concludes “difficult.”
",0,1
"Facts:  Alice is excited [PERIOD] Alice is comfortable [PERIOD]
Rules:
exuberant [AND] grumpy [IMPLY] old-fashioned [PERIOD]
shiny [IMPLY] horrible [PERIOD]
confident [AND] horrible [IMPLY] old-fashioned [PERIOD]
horrible [AND] comfortable [IMPLY] strange [PERIOD]
supportive [AND] comfortable [IMPLY] gifted [PERIOD]
grumpy [IMPLY] confident [PERIOD]
grumpy [AND] excited [IMPLY] comfortable [PERIOD]
shiny [AND] strange [AND] gifted [IMPLY] grumpy [PERIOD]
old-fashioned [IMPLY] confident [PERIOD]
gifted [IMPLY] horrible [PERIOD]
grumpy [IMPLY] old-fashioned [PERIOD]
comfortable [AND] excited [AND] confident [IMPLY] strange [PERIOD]
supportive [IMPLY] shiny [PERIOD]
strange [AND] comfortable [AND] grumpy [IMPLY] gifted [PERIOD]
strange [AND] confident [IMPLY] shiny [PERIOD]
gifted [AND] shiny [AND] supportive [IMPLY] excited [PERIOD]
old-fashioned [AND] excited [IMPLY] comfortable [PERIOD]
excited [AND] grumpy [IMPLY] exuberant [PERIOD]
strange [AND] supportive [IMPLY] old-fashioned [PERIOD]
grumpy [AND] supportive [IMPLY] strange [PERIOD]
excited [AND] gifted [AND] comfortable [IMPLY] confident [PERIOD]
exuberant [AND] grumpy [AND] confident [IMPLY] gifted [PERIOD]
supportive [AND] confident [IMPLY] grumpy [PERIOD]
comfortable [IMPLY] horrible [PERIOD]
strange [AND] supportive [AND] exuberant [IMPLY] grumpy [PERIOD]
gifted [AND] old-fashioned [AND] exuberant [IMPLY] shiny [PERIOD]
confident [IMPLY] excited [PERIOD]
strange [AND] shiny [IMPLY] exuberant [PERIOD]
supportive [AND] horrible [AND] exuberant [IMPLY] gifted [PERIOD]
supportive [AND] shiny [AND] excited [IMPLY] grumpy [PERIOD]
horrible [AND] old-fashioned [AND] supportive [IMPLY] grumpy [PERIOD]
old-fashioned [AND] horrible [AND] strange [IMPLY] excited [PERIOD]
confident [AND] strange [IMPLY] grumpy [PERIOD]
exuberant [AND] grumpy [IMPLY] confident [PERIOD]
confident [IMPLY] supportive [PERIOD]
gifted [AND] supportive [AND] confident [IMPLY] old-fashioned [PERIOD]
horrible [AND] strange [IMPLY] shiny [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   comfortable ⇒ horrible
   comfortable ⇒ horrible
   horrible ∧ comfortable ⇒ strange
   horrible ∧ strange ⇒ shiny
",1,4
"Facts: 
Rules:
bright [AND] stubborn [AND] sincere [IMPLY] glamorous [PERIOD]
scared [AND] bright [IMPLY] glamorous [PERIOD]
bright [AND] glamorous [IMPLY] sincere [PERIOD]
glamorous [IMPLY] scared [PERIOD]
stubborn [AND] bright [AND] glamorous [IMPLY] scared [PERIOD]
stubborn [AND] bright [IMPLY] glamorous [PERIOD]
sincere [AND] scared [IMPLY] stubborn [PERIOD]
bright [IMPLY] glamorous [PERIOD]
sincere [AND] scared [AND] stubborn [IMPLY] glamorous [PERIOD]
sincere [IMPLY] glamorous [PERIOD]
stubborn [IMPLY] glamorous [PERIOD]
bright [AND] sincere [AND] glamorous [IMPLY] stubborn [PERIOD]
glamorous [IMPLY] stubborn [PERIOD]
scared [IMPLY] sincere [PERIOD]
scared [AND] glamorous [IMPLY] stubborn [PERIOD]
scared [AND] stubborn [IMPLY] sincere [PERIOD]
scared [AND] glamorous [AND] bright [IMPLY] sincere [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   Cannot apply rule “bright ∧ stubborn ∧ sincere ⇒ glamorous” because missing: bright, stubborn, sincere.
   Cannot apply rule “scared ∧ bright ⇒ glamorous” because missing: scared, bright.
   Cannot apply rule “stubborn ∧ bright ⇒ glamorous” because missing: stubborn, bright.
   Cannot apply rule “bright ⇒ glamorous” because missing: bright.
   Cannot apply rule “sincere ∧ scared ∧ stubborn ⇒ glamorous” because missing: sincere, scared, stubborn.
   Cannot apply rule “sincere ⇒ glamorous” because missing: sincere.
   Cannot apply rule “stubborn ⇒ glamorous” because missing: stubborn.
",0,7
"Facts:  Alice is clumsy [PERIOD] Alice is anxious [PERIOD]
Rules:
tame [AND] shiny [AND] clumsy [IMPLY] distinct [PERIOD]
distinct [AND] impatient [IMPLY] tame [PERIOD]
shiny [AND] clumsy [AND] anxious [IMPLY] inquisitive [PERIOD]
lonely [AND] tame [AND] selfish [IMPLY] careless [PERIOD]
inquisitive [IMPLY] tame [PERIOD]
clumsy [IMPLY] distinct [PERIOD]
selfish [IMPLY] distinct [PERIOD]
powerful [IMPLY] inquisitive [PERIOD]
inquisitive [AND] powerful [AND] careless [IMPLY] impatient [PERIOD]
careless [IMPLY] powerful [PERIOD]
careless [IMPLY] tame [PERIOD]
tame [IMPLY] shiny [PERIOD]
selfish [AND] lonely [IMPLY] shiny [PERIOD]
shiny [IMPLY] anxious [PERIOD]
tame [AND] careless [IMPLY] distinct [PERIOD]
clumsy [AND] impatient [AND] anxious [IMPLY] careless [PERIOD]
inquisitive [AND] powerful [IMPLY] lonely [PERIOD]
tame [AND] impatient [AND] clumsy [IMPLY] inquisitive [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   Cannot apply rule “inquisitive ∧ powerful ∧ careless ⇒ impatient” because missing: inquisitive, powerful, careless.
",0,1
"Facts:  Alice is ugliest [PERIOD] Alice is hurt [PERIOD] Alice is wandering [PERIOD] Alice is charming [PERIOD]
Rules:
beautiful [AND] charming [AND] stormy [IMPLY] uptight [PERIOD]
outrageous [AND] thoughtful [IMPLY] exuberant [PERIOD]
straightforward [IMPLY] rude [PERIOD]
uptight [IMPLY] rational [PERIOD]
cruel [AND] bad-tempered [IMPLY] muddy [PERIOD]
hurt [IMPLY] lucky [PERIOD]
ugliest [AND] muddy [AND] old-fashioned [IMPLY] cruel [PERIOD]
jittery [IMPLY] beautiful [PERIOD]
charming [AND] loving [AND] thoughtful [IMPLY] plain [PERIOD]
disgusted [AND] rational [AND] hurt [IMPLY] uptight [PERIOD]
gleaming [AND] lonely [AND] beautiful [IMPLY] thoughtful [PERIOD]
cruel [AND] plain [AND] straightforward [IMPLY] enchanting [PERIOD]
thoughtful [IMPLY] outrageous [PERIOD]
muddy [IMPLY] lucky [PERIOD]
wandering [IMPLY] popular [PERIOD]
gleaming [AND] muddy [IMPLY] charming [PERIOD]
uptight [AND] hurt [IMPLY] lonely [PERIOD]
curious [IMPLY] impatient [PERIOD]
Query: Alice is popular [PERIOD]","Proof chain:
   wandering ⇒ popular
",1,1
"Facts:  Alice is fragile [PERIOD] Alice is modern [PERIOD] Alice is clumsy [PERIOD] Alice is long [PERIOD] Alice is average [PERIOD] Alice is busy [PERIOD]
Rules:
average [AND] bossy [AND] ugly [IMPLY] elegant [PERIOD]
precious [AND] charming [IMPLY] friendly [PERIOD]
horrible [AND] anxious [AND] charming [IMPLY] ambitious [PERIOD]
thoughtful [AND] elegant [AND] ugly [IMPLY] average [PERIOD]
cooperative [IMPLY] easy [PERIOD]
homely [AND] cooperative [AND] ambitious [IMPLY] scared [PERIOD]
outrageous [AND] easy [AND] scared [IMPLY] thoughtful [PERIOD]
horrible [IMPLY] stubborn [PERIOD]
uptight [AND] comfortable [AND] friendly [IMPLY] modern [PERIOD]
friendly [IMPLY] ugly [PERIOD]
fearless [IMPLY] long [PERIOD]
intellectual [AND] uptight [IMPLY] fearless [PERIOD]
comfortable [AND] modern [IMPLY] frail [PERIOD]
easy [AND] charming [IMPLY] uptight [PERIOD]
charming [AND] horrible [IMPLY] long [PERIOD]
uptight [AND] modern [AND] thoughtful [IMPLY] elegant [PERIOD]
precious [AND] homely [AND] modern [IMPLY] horrible [PERIOD]
outrageous [IMPLY] comfortable [PERIOD]
anxious [AND] exuberant [AND] homely [IMPLY] frail [PERIOD]
ugly [AND] fragile [IMPLY] ambitious [PERIOD]
attractive [AND] charming [AND] stubborn [IMPLY] elegant [PERIOD]
homely [AND] charming [AND] scared [IMPLY] stubborn [PERIOD]
comfortable [IMPLY] modern [PERIOD]
thoughtful [AND] exuberant [IMPLY] fearless [PERIOD]
precious [AND] friendly [IMPLY] anxious [PERIOD]
cooperative [AND] elegant [IMPLY] stubborn [PERIOD]
uptight [AND] horrible [AND] fragile [IMPLY] scared [PERIOD]
comfortable [AND] precious [AND] bossy [IMPLY] friendly [PERIOD]
uptight [AND] sincere [IMPLY] anxious [PERIOD]
elegant [AND] exuberant [IMPLY] precious [PERIOD]
precious [AND] anxious [AND] attractive [IMPLY] comfortable [PERIOD]
elegant [IMPLY] stubborn [PERIOD]
precious [AND] elegant [AND] attractive [IMPLY] long [PERIOD]
elegant [AND] homely [AND] clumsy [IMPLY] intellectual [PERIOD]
easy [AND] outrageous [AND] ugly [IMPLY] uptight [PERIOD]
modern [AND] anxious [IMPLY] charming [PERIOD]
long [AND] attractive [AND] charming [IMPLY] thoughtful [PERIOD]
busy [AND] scared [AND] elegant [IMPLY] intellectual [PERIOD]
thoughtful [IMPLY] intellectual [PERIOD]
ambitious [IMPLY] exuberant [PERIOD]
ambitious [AND] scared [IMPLY] cooperative [PERIOD]
bossy [AND] frail [AND] attractive [IMPLY] ugly [PERIOD]
outrageous [AND] friendly [AND] busy [IMPLY] fragile [PERIOD]
long [AND] comfortable [AND] busy [IMPLY] ambitious [PERIOD]
cooperative [AND] uptight [IMPLY] fragile [PERIOD]
precious [AND] average [IMPLY] uptight [PERIOD]
intellectual [IMPLY] ambitious [PERIOD]
sincere [AND] scared [IMPLY] attractive [PERIOD]
fragile [AND] precious [AND] scared [IMPLY] friendly [PERIOD]
outrageous [IMPLY] ambitious [PERIOD]
average [IMPLY] easy [PERIOD]
clumsy [IMPLY] average [PERIOD]
clumsy [AND] modern [IMPLY] exuberant [PERIOD]
long [AND] comfortable [IMPLY] exuberant [PERIOD]
exuberant [AND] busy [IMPLY] average [PERIOD]
horrible [IMPLY] exuberant [PERIOD]
average [AND] horrible [AND] long [IMPLY] comfortable [PERIOD]
thoughtful [IMPLY] clumsy [PERIOD]
precious [AND] ugly [IMPLY] fragile [PERIOD]
outrageous [IMPLY] clumsy [PERIOD]
homely [AND] elegant [AND] fragile [IMPLY] horrible [PERIOD]
bossy [AND] modern [AND] busy [IMPLY] ugly [PERIOD]
comfortable [AND] clumsy [IMPLY] frail [PERIOD]
thoughtful [IMPLY] easy [PERIOD]
comfortable [AND] busy [AND] anxious [IMPLY] ugly [PERIOD]
ugly [IMPLY] elegant [PERIOD]
bossy [IMPLY] easy [PERIOD]
horrible [IMPLY] anxious [PERIOD]
ugly [AND] stubborn [IMPLY] busy [PERIOD]
average [AND] anxious [AND] clumsy [IMPLY] attractive [PERIOD]
clumsy [AND] horrible [IMPLY] bossy [PERIOD]
uptight [AND] sincere [IMPLY] exuberant [PERIOD]
ambitious [AND] fearless [IMPLY] precious [PERIOD]
friendly [IMPLY] frail [PERIOD]
ambitious [AND] outrageous [IMPLY] fearless [PERIOD]
horrible [IMPLY] uptight [PERIOD]
frail [AND] stubborn [AND] clumsy [IMPLY] horrible [PERIOD]
modern [AND] homely [IMPLY] fearless [PERIOD]
bossy [AND] stubborn [AND] fearless [IMPLY] thoughtful [PERIOD]
sincere [IMPLY] precious [PERIOD]
outrageous [IMPLY] scared [PERIOD]
easy [AND] long [AND] bossy [IMPLY] comfortable [PERIOD]
cooperative [IMPLY] friendly [PERIOD]
busy [AND] modern [AND] stubborn [IMPLY] frail [PERIOD]
horrible [AND] attractive [AND] easy [IMPLY] uptight [PERIOD]
friendly [IMPLY] easy [PERIOD]
stubborn [IMPLY] ugly [PERIOD]
outrageous [AND] uptight [AND] anxious [IMPLY] sincere [PERIOD]
ugly [AND] frail [IMPLY] comfortable [PERIOD]
frail [AND] ugly [IMPLY] exuberant [PERIOD]
attractive [AND] frail [IMPLY] elegant [PERIOD]
ambitious [AND] thoughtful [IMPLY] elegant [PERIOD]
precious [AND] busy [IMPLY] modern [PERIOD]
outrageous [AND] long [AND] fearless [IMPLY] sincere [PERIOD]
easy [AND] exuberant [AND] comfortable [IMPLY] bossy [PERIOD]
comfortable [IMPLY] ambitious [PERIOD]
busy [IMPLY] cooperative [PERIOD]
homely [IMPLY] clumsy [PERIOD]
ambitious [AND] modern [IMPLY] exuberant [PERIOD]
stubborn [AND] exuberant [AND] comfortable [IMPLY] average [PERIOD]
ugly [IMPLY] frail [PERIOD]
ambitious [AND] average [IMPLY] easy [PERIOD]
elegant [AND] bossy [AND] thoughtful [IMPLY] average [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   busy ⇒ cooperative
   busy ⇒ cooperative
   cooperative ⇒ friendly
   friendly ⇒ ugly
   ugly ⇒ elegant
   cooperative ∧ elegant ⇒ stubborn
",1,6
"Facts:  Alice is lonely [PERIOD] Alice is courageous [PERIOD] Alice is straightforward [PERIOD] Alice is talkative [PERIOD] Alice is attentive [PERIOD] Alice is curious [PERIOD] Alice is shiny [PERIOD] Alice is quaint [PERIOD]
Rules:
Query: Alice is loving [PERIOD]","Proof chain:
   No rule concludes “loving.”
",0,1
"Facts:  Alice is quaint [PERIOD]
Rules:
hurt [AND] quaint [IMPLY] supportive [PERIOD]
supportive [AND] fragile [AND] quaint [IMPLY] hurt [PERIOD]
quaint [IMPLY] easy [PERIOD]
fragile [AND] supportive [IMPLY] troubled [PERIOD]
troubled [AND] stupid [AND] stubborn [IMPLY] fragile [PERIOD]
stubborn [AND] troubled [IMPLY] quaint [PERIOD]
fragile [IMPLY] stubborn [PERIOD]
stubborn [AND] rational [AND] fragile [IMPLY] stupid [PERIOD]
easy [AND] troubled [AND] quaint [IMPLY] hurt [PERIOD]
supportive [IMPLY] stupid [PERIOD]
hurt [IMPLY] quaint [PERIOD]
supportive [AND] rational [IMPLY] quaint [PERIOD]
quaint [IMPLY] hurt [PERIOD]
quaint [AND] stubborn [IMPLY] fragile [PERIOD]
rational [IMPLY] troubled [PERIOD]
quaint [AND] troubled [AND] rational [IMPLY] supportive [PERIOD]
supportive [AND] troubled [IMPLY] stupid [PERIOD]
stupid [IMPLY] supportive [PERIOD]
fragile [AND] supportive [IMPLY] hurt [PERIOD]
stupid [IMPLY] fragile [PERIOD]
quaint [AND] easy [AND] troubled [IMPLY] supportive [PERIOD]
fragile [AND] easy [IMPLY] stupid [PERIOD]
fragile [AND] troubled [IMPLY] hurt [PERIOD]
fragile [AND] supportive [AND] rational [IMPLY] stubborn [PERIOD]
supportive [AND] stupid [AND] stubborn [IMPLY] rational [PERIOD]
easy [IMPLY] rational [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   quaint ⇒ hurt
   hurt ∧ quaint ⇒ supportive
   supportive ⇒ stupid
   stupid ⇒ fragile
",1,4
"Facts: 
Rules:
fancy [AND] inquisitive [AND] gifted [IMPLY] troubled [PERIOD]
curious [AND] troubled [AND] supportive [IMPLY] gifted [PERIOD]
gifted [AND] diplomatic [AND] troubled [IMPLY] supportive [PERIOD]
diplomatic [AND] fancy [IMPLY] curious [PERIOD]
gifted [AND] diplomatic [AND] inquisitive [IMPLY] troubled [PERIOD]
supportive [AND] curious [AND] gifted [IMPLY] inquisitive [PERIOD]
inquisitive [AND] diplomatic [AND] troubled [IMPLY] fancy [PERIOD]
inquisitive [IMPLY] supportive [PERIOD]
curious [IMPLY] diplomatic [PERIOD]
curious [AND] fancy [IMPLY] troubled [PERIOD]
gifted [AND] inquisitive [IMPLY] fancy [PERIOD]
troubled [AND] gifted [IMPLY] diplomatic [PERIOD]
inquisitive [AND] curious [AND] supportive [IMPLY] gifted [PERIOD]
inquisitive [AND] gifted [IMPLY] diplomatic [PERIOD]
diplomatic [IMPLY] gifted [PERIOD]
diplomatic [AND] gifted [AND] supportive [IMPLY] curious [PERIOD]
curious [IMPLY] fancy [PERIOD]
supportive [IMPLY] diplomatic [PERIOD]
diplomatic [AND] curious [IMPLY] fancy [PERIOD]
inquisitive [AND] curious [IMPLY] gifted [PERIOD]
supportive [IMPLY] gifted [PERIOD]
fancy [AND] supportive [IMPLY] troubled [PERIOD]
inquisitive [IMPLY] gifted [PERIOD]
troubled [IMPLY] supportive [PERIOD]
troubled [AND] gifted [AND] fancy [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] curious [PERIOD]
gifted [AND] diplomatic [IMPLY] troubled [PERIOD]
fancy [IMPLY] inquisitive [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   Cannot apply rule “supportive ∧ curious ∧ gifted ⇒ inquisitive” because missing: supportive, curious, gifted.
   Cannot apply rule “troubled ∧ gifted ∧ fancy ⇒ inquisitive” because missing: troubled, gifted, fancy.
   Cannot apply rule “fancy ⇒ inquisitive” because missing: fancy.
",0,3
"Facts:  Alice is charming [PERIOD]
Rules:
charming [AND] sensible [IMPLY] ambitious [PERIOD]
sensible [AND] ambitious [IMPLY] selfish [PERIOD]
wrong [AND] tense [AND] sensible [IMPLY] mean [PERIOD]
ambitious [AND] charming [IMPLY] broad-minded [PERIOD]
gifted [AND] smart [IMPLY] messy [PERIOD]
tense [AND] mean [AND] charming [IMPLY] ambitious [PERIOD]
curious [AND] versatile [AND] gifted [IMPLY] messy [PERIOD]
smart [IMPLY] unpleasant [PERIOD]
broad-minded [AND] weary [IMPLY] ambitious [PERIOD]
broad-minded [IMPLY] sensible [PERIOD]
ambitious [AND] tense [IMPLY] messy [PERIOD]
unpleasant [AND] wrong [AND] pessimistic [IMPLY] selfish [PERIOD]
mean [AND] selfish [AND] versatile [IMPLY] unpleasant [PERIOD]
messy [IMPLY] unpleasant [PERIOD]
gifted [AND] messy [AND] mean [IMPLY] selfish [PERIOD]
curious [AND] mean [AND] sensible [IMPLY] weary [PERIOD]
mean [IMPLY] unpleasant [PERIOD]
smart [IMPLY] mean [PERIOD]
selfish [IMPLY] tense [PERIOD]
unpleasant [AND] versatile [IMPLY] broad-minded [PERIOD]
ambitious [AND] tense [AND] weary [IMPLY] selfish [PERIOD]
unpleasant [AND] messy [IMPLY] mean [PERIOD]
mean [AND] gifted [IMPLY] weary [PERIOD]
broad-minded [AND] wrong [AND] tense [IMPLY] pessimistic [PERIOD]
charming [AND] broad-minded [IMPLY] sensible [PERIOD]
broad-minded [AND] curious [IMPLY] pessimistic [PERIOD]
charming [AND] weary [AND] gifted [IMPLY] selfish [PERIOD]
unpleasant [AND] mean [AND] curious [IMPLY] weary [PERIOD]
broad-minded [AND] tense [AND] ambitious [IMPLY] smart [PERIOD]
weary [IMPLY] wrong [PERIOD]
mean [AND] curious [AND] pessimistic [IMPLY] gifted [PERIOD]
wrong [AND] curious [AND] charming [IMPLY] unpleasant [PERIOD]
wrong [AND] curious [AND] versatile [IMPLY] broad-minded [PERIOD]
versatile [AND] broad-minded [IMPLY] unpleasant [PERIOD]
unpleasant [AND] weary [IMPLY] gifted [PERIOD]
tense [IMPLY] unpleasant [PERIOD]
sensible [AND] unpleasant [AND] versatile [IMPLY] smart [PERIOD]
messy [IMPLY] curious [PERIOD]
versatile [AND] mean [IMPLY] wrong [PERIOD]
messy [AND] sensible [IMPLY] mean [PERIOD]
sensible [AND] selfish [AND] versatile [IMPLY] gifted [PERIOD]
unpleasant [IMPLY] tense [PERIOD]
messy [AND] selfish [AND] sensible [IMPLY] mean [PERIOD]
versatile [IMPLY] mean [PERIOD]
selfish [AND] unpleasant [AND] mean [IMPLY] tense [PERIOD]
gifted [AND] selfish [IMPLY] pessimistic [PERIOD]
broad-minded [IMPLY] tense [PERIOD]
messy [IMPLY] charming [PERIOD]
pessimistic [AND] mean [IMPLY] charming [PERIOD]
tense [AND] broad-minded [AND] charming [IMPLY] messy [PERIOD]
versatile [AND] ambitious [IMPLY] curious [PERIOD]
broad-minded [AND] charming [IMPLY] unpleasant [PERIOD]
wrong [IMPLY] unpleasant [PERIOD]
mean [AND] charming [AND] ambitious [IMPLY] curious [PERIOD]
messy [AND] unpleasant [IMPLY] weary [PERIOD]
smart [AND] selfish [IMPLY] curious [PERIOD]
selfish [IMPLY] gifted [PERIOD]
tense [IMPLY] pessimistic [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   Cannot apply rule “wrong ∧ tense ∧ sensible ⇒ mean” because missing: wrong, tense, sensible.
   Cannot apply rule “smart ⇒ mean” because missing: smart.
   Cannot apply rule “unpleasant ∧ messy ⇒ mean” because missing: unpleasant, messy.
   Cannot apply rule “messy ∧ sensible ⇒ mean” because missing: messy, sensible.
   Cannot apply rule “messy ∧ selfish ∧ sensible ⇒ mean” because missing: messy, selfish, sensible.
   Cannot apply rule “versatile ⇒ mean” because missing: versatile.
",0,6
"Facts:  Alice is tidy [PERIOD] Alice is diplomatic [PERIOD] Alice is worried [PERIOD] Alice is shiny [PERIOD] Alice is joyous [PERIOD] Alice is wide-eyed [PERIOD] Alice is helpful [PERIOD] Alice is stupid [PERIOD] Alice is worrisome [PERIOD] Alice is combative [PERIOD] Alice is rude [PERIOD] Alice is inexpensive [PERIOD] Alice is attentive [PERIOD] Alice is inquisitive [PERIOD] Alice is quaint [PERIOD] Alice is stubborn [PERIOD] Alice is witty [PERIOD] Alice is excited [PERIOD] Alice is frightened [PERIOD]
Rules:
joyous [IMPLY] witty [PERIOD]
inexpensive [IMPLY] excited [PERIOD]
inquisitive [AND] frightened [IMPLY] fragile [PERIOD]
rude [AND] wide-eyed [IMPLY] frightened [PERIOD]
quaint [IMPLY] witty [PERIOD]
inquisitive [AND] joyous [IMPLY] attentive [PERIOD]
witty [AND] wide-eyed [IMPLY] stubborn [PERIOD]
witty [IMPLY] diplomatic [PERIOD]
tidy [IMPLY] fragile [PERIOD]
stupid [AND] rude [IMPLY] wide-eyed [PERIOD]
tidy [AND] rude [AND] witty [IMPLY] dull [PERIOD]
helpful [IMPLY] wide-eyed [PERIOD]
excited [IMPLY] witty [PERIOD]
stupid [AND] attentive [AND] light [IMPLY] dull [PERIOD]
witty [IMPLY] excited [PERIOD]
joyous [IMPLY] wide-eyed [PERIOD]
tidy [IMPLY] dull [PERIOD]
helpful [AND] inquisitive [IMPLY] attentive [PERIOD]
attentive [AND] helpful [IMPLY] inexpensive [PERIOD]
excited [AND] fragile [AND] worried [IMPLY] joyous [PERIOD]
fragile [AND] quaint [AND] wide-eyed [IMPLY] light [PERIOD]
worrisome [AND] inexpensive [AND] frightened [IMPLY] diplomatic [PERIOD]
inexpensive [IMPLY] quaint [PERIOD]
helpful [AND] worried [AND] dull [IMPLY] excited [PERIOD]
joyous [AND] dull [IMPLY] wide-eyed [PERIOD]
joyous [IMPLY] rude [PERIOD]
worrisome [IMPLY] worried [PERIOD]
joyous [IMPLY] frightened [PERIOD]
worrisome [AND] excited [IMPLY] fragile [PERIOD]
fragile [AND] worrisome [AND] inexpensive [IMPLY] attentive [PERIOD]
worrisome [AND] quaint [AND] dull [IMPLY] wide-eyed [PERIOD]
tidy [AND] joyous [AND] quaint [IMPLY] stupid [PERIOD]
wide-eyed [AND] worrisome [AND] quaint [IMPLY] helpful [PERIOD]
tidy [AND] diplomatic [AND] inexpensive [IMPLY] fragile [PERIOD]
quaint [AND] inexpensive [AND] stupid [IMPLY] shiny [PERIOD]
wide-eyed [AND] rude [IMPLY] light [PERIOD]
dull [AND] excited [AND] light [IMPLY] stupid [PERIOD]
tidy [AND] rude [AND] combative [IMPLY] wide-eyed [PERIOD]
attentive [IMPLY] joyous [PERIOD]
fragile [AND] frightened [AND] inquisitive [IMPLY] attentive [PERIOD]
stubborn [IMPLY] witty [PERIOD]
stupid [AND] combative [AND] stubborn [IMPLY] tidy [PERIOD]
inexpensive [IMPLY] stubborn [PERIOD]
wide-eyed [AND] worrisome [AND] fragile [IMPLY] excited [PERIOD]
dull [AND] light [AND] inquisitive [IMPLY] worrisome [PERIOD]
witty [IMPLY] helpful [PERIOD]
quaint [AND] inexpensive [IMPLY] worried [PERIOD]
diplomatic [AND] combative [AND] tidy [IMPLY] wide-eyed [PERIOD]
joyous [AND] worried [IMPLY] stupid [PERIOD]
stupid [IMPLY] diplomatic [PERIOD]
frightened [AND] stubborn [AND] joyous [IMPLY] combative [PERIOD]
light [AND] worrisome [AND] attentive [IMPLY] worried [PERIOD]
rude [IMPLY] attentive [PERIOD]
inexpensive [IMPLY] joyous [PERIOD]
helpful [IMPLY] rude [PERIOD]
stupid [AND] wide-eyed [IMPLY] excited [PERIOD]
light [IMPLY] diplomatic [PERIOD]
joyous [AND] wide-eyed [IMPLY] quaint [PERIOD]
helpful [AND] diplomatic [IMPLY] witty [PERIOD]
tidy [AND] shiny [AND] inquisitive [IMPLY] attentive [PERIOD]
shiny [IMPLY] wide-eyed [PERIOD]
helpful [AND] shiny [AND] light [IMPLY] joyous [PERIOD]
quaint [IMPLY] joyous [PERIOD]
fragile [AND] combative [IMPLY] shiny [PERIOD]
combative [IMPLY] light [PERIOD]
helpful [AND] light [AND] wide-eyed [IMPLY] worrisome [PERIOD]
fragile [AND] quaint [IMPLY] frightened [PERIOD]
attentive [AND] worried [AND] dull [IMPLY] inquisitive [PERIOD]
wide-eyed [AND] diplomatic [IMPLY] witty [PERIOD]
inquisitive [IMPLY] rude [PERIOD]
witty [AND] worrisome [IMPLY] frightened [PERIOD]
frightened [AND] combative [AND] wide-eyed [IMPLY] attentive [PERIOD]
fragile [IMPLY] dull [PERIOD]
quaint [AND] light [AND] rude [IMPLY] excited [PERIOD]
dull [AND] fragile [IMPLY] tidy [PERIOD]
wide-eyed [AND] attentive [AND] tidy [IMPLY] rude [PERIOD]
excited [AND] light [IMPLY] quaint [PERIOD]
shiny [IMPLY] attentive [PERIOD]
joyous [AND] inexpensive [IMPLY] witty [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
thoughtless [AND] uptight [IMPLY] hurt [PERIOD]
weary [AND] tender [AND] wandering [IMPLY] ambitious [PERIOD]
fearless [AND] messy [IMPLY] disgusted [PERIOD]
thoughtless [IMPLY] weary [PERIOD]
frightened [IMPLY] quaint [PERIOD]
stupid [IMPLY] shiny [PERIOD]
horrible [IMPLY] fine [PERIOD]
hilarious [AND] tame [IMPLY] fearless [PERIOD]
outrageous [IMPLY] disgusted [PERIOD]
tender [AND] inquisitive [AND] horrible [IMPLY] wandering [PERIOD]
hilarious [AND] tame [AND] embarrassed [IMPLY] frightened [PERIOD]
uptight [AND] embarrassed [AND] wandering [IMPLY] ambitious [PERIOD]
disgusted [AND] careless [IMPLY] polite [PERIOD]
shiny [AND] tender [IMPLY] thoughtless [PERIOD]
thoughtless [AND] powerful [IMPLY] adorable [PERIOD]
messy [IMPLY] adorable [PERIOD]
careless [AND] cruel [AND] tender [IMPLY] hurt [PERIOD]
hilarious [AND] inquisitive [IMPLY] hurt [PERIOD]
ambitious [IMPLY] hilarious [PERIOD]
tame [AND] aggressive [IMPLY] careless [PERIOD]
talented [IMPLY] embarrassed [PERIOD]
inquisitive [IMPLY] uptight [PERIOD]
tender [AND] polite [AND] embarrassed [IMPLY] stupid [PERIOD]
horrible [IMPLY] inquisitive [PERIOD]
polite [IMPLY] quaint [PERIOD]
thoughtless [IMPLY] wandering [PERIOD]
inquisitive [AND] polite [AND] tender [IMPLY] ambitious [PERIOD]
embarrassed [IMPLY] aggressive [PERIOD]
polite [AND] careless [AND] frightened [IMPLY] uptight [PERIOD]
stupid [IMPLY] hilarious [PERIOD]
shiny [AND] quaint [IMPLY] ambitious [PERIOD]
outrageous [IMPLY] polite [PERIOD]
embarrassed [AND] tame [IMPLY] cruel [PERIOD]
fearless [IMPLY] cruel [PERIOD]
fine [IMPLY] embarrassed [PERIOD]
horrible [AND] disgusted [IMPLY] fine [PERIOD]
curious [IMPLY] fine [PERIOD]
thoughtless [IMPLY] cruel [PERIOD]
thoughtless [AND] fine [AND] cruel [IMPLY] messy [PERIOD]
messy [AND] shiny [AND] outrageous [IMPLY] powerful [PERIOD]
tender [AND] curious [AND] quaint [IMPLY] talented [PERIOD]
powerful [AND] tame [IMPLY] polite [PERIOD]
aggressive [IMPLY] quaint [PERIOD]
weary [IMPLY] embarrassed [PERIOD]
shiny [AND] thoughtless [IMPLY] weary [PERIOD]
weary [AND] adorable [AND] aggressive [IMPLY] horrible [PERIOD]
horrible [AND] quaint [AND] inquisitive [IMPLY] cruel [PERIOD]
embarrassed [IMPLY] cruel [PERIOD]
tame [IMPLY] ambitious [PERIOD]
cruel [IMPLY] disgusted [PERIOD]
quaint [AND] fearless [AND] hilarious [IMPLY] shiny [PERIOD]
curious [IMPLY] hurt [PERIOD]
hurt [AND] fine [AND] fearless [IMPLY] curious [PERIOD]
thoughtless [AND] disgusted [IMPLY] aggressive [PERIOD]
quaint [AND] embarrassed [IMPLY] uptight [PERIOD]
stupid [IMPLY] hurt [PERIOD]
uptight [AND] careless [IMPLY] wandering [PERIOD]
quaint [IMPLY] uptight [PERIOD]
ambitious [AND] weary [AND] inquisitive [IMPLY] polite [PERIOD]
wandering [AND] quaint [IMPLY] careless [PERIOD]
stupid [IMPLY] ambitious [PERIOD]
horrible [AND] ambitious [IMPLY] careless [PERIOD]
shiny [AND] tender [AND] embarrassed [IMPLY] fine [PERIOD]
quaint [AND] thoughtless [AND] shiny [IMPLY] hilarious [PERIOD]
tender [AND] talented [IMPLY] frightened [PERIOD]
polite [IMPLY] embarrassed [PERIOD]
aggressive [IMPLY] adorable [PERIOD]
embarrassed [AND] shiny [AND] polite [IMPLY] talented [PERIOD]
powerful [IMPLY] hilarious [PERIOD]
adorable [AND] ambitious [IMPLY] aggressive [PERIOD]
tame [AND] stupid [IMPLY] shiny [PERIOD]
frightened [AND] inquisitive [IMPLY] tender [PERIOD]
fine [IMPLY] shiny [PERIOD]
ambitious [IMPLY] horrible [PERIOD]
powerful [AND] tame [IMPLY] hilarious [PERIOD]
frightened [IMPLY] tender [PERIOD]
tame [AND] shiny [AND] talented [IMPLY] embarrassed [PERIOD]
fearless [AND] weary [IMPLY] frightened [PERIOD]
weary [AND] adorable [AND] embarrassed [IMPLY] frightened [PERIOD]
ambitious [IMPLY] thoughtless [PERIOD]
frightened [AND] hurt [AND] fearless [IMPLY] stupid [PERIOD]
curious [IMPLY] wandering [PERIOD]
cruel [IMPLY] ambitious [PERIOD]
inquisitive [IMPLY] aggressive [PERIOD]
thoughtless [IMPLY] outrageous [PERIOD]
talented [AND] thoughtless [IMPLY] wandering [PERIOD]
frightened [AND] messy [AND] curious [IMPLY] stupid [PERIOD]
adorable [AND] outrageous [IMPLY] powerful [PERIOD]
stupid [AND] quaint [IMPLY] curious [PERIOD]
adorable [AND] embarrassed [AND] disgusted [IMPLY] quaint [PERIOD]
hurt [AND] outrageous [AND] powerful [IMPLY] tame [PERIOD]
talented [IMPLY] weary [PERIOD]
adorable [AND] frightened [IMPLY] inquisitive [PERIOD]
talented [AND] polite [AND] fine [IMPLY] uptight [PERIOD]
tame [AND] messy [IMPLY] weary [PERIOD]
uptight [IMPLY] wandering [PERIOD]
hurt [IMPLY] talented [PERIOD]
quaint [IMPLY] fine [PERIOD]
powerful [AND] aggressive [IMPLY] tame [PERIOD]
outrageous [AND] cruel [IMPLY] messy [PERIOD]
polite [AND] wandering [IMPLY] fine [PERIOD]
horrible [AND] polite [IMPLY] quaint [PERIOD]
polite [IMPLY] inquisitive [PERIOD]
horrible [AND] quaint [IMPLY] disgusted [PERIOD]
fearless [IMPLY] aggressive [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   Cannot apply rule “weary ∧ tender ∧ wandering ⇒ ambitious” because missing: weary, tender, wandering.
   Cannot apply rule “uptight ∧ embarrassed ∧ wandering ⇒ ambitious” because missing: uptight, embarrassed, wandering.
   Cannot apply rule “inquisitive ∧ polite ∧ tender ⇒ ambitious” because missing: inquisitive, polite, tender.
   Cannot apply rule “shiny ∧ quaint ⇒ ambitious” because missing: shiny, quaint.
   Cannot apply rule “tame ⇒ ambitious” because missing: tame.
   Cannot apply rule “stupid ⇒ ambitious” because missing: stupid.
   Cannot apply rule “cruel ⇒ ambitious” because missing: cruel.
",0,7
"Facts:  Alice is hurt [PERIOD] Alice is fancy [PERIOD] Alice is disgusted [PERIOD] Alice is impartial [PERIOD] Alice is wide-eyed [PERIOD]
Rules:
aggressive [AND] horrible [AND] impartial [IMPLY] spotless [PERIOD]
comfortable [AND] supportive [IMPLY] aggressive [PERIOD]
messy [AND] hurt [IMPLY] fragile [PERIOD]
glamorous [IMPLY] wide-eyed [PERIOD]
impartial [IMPLY] supportive [PERIOD]
disgusted [AND] messy [AND] light [IMPLY] supportive [PERIOD]
light [AND] fragile [IMPLY] comfortable [PERIOD]
tidy [IMPLY] sincere [PERIOD]
sincere [AND] aggressive [IMPLY] supportive [PERIOD]
hurt [AND] sincere [IMPLY] fragile [PERIOD]
glamorous [IMPLY] horrible [PERIOD]
frantic [IMPLY] amused [PERIOD]
rational [AND] impartial [AND] messy [IMPLY] amused [PERIOD]
wide-eyed [AND] frantic [AND] horrible [IMPLY] aggressive [PERIOD]
wide-eyed [IMPLY] spotless [PERIOD]
spotless [AND] fancy [AND] horrible [IMPLY] wide-eyed [PERIOD]
comfortable [AND] messy [AND] hurt [IMPLY] spotless [PERIOD]
wide-eyed [IMPLY] glamorous [PERIOD]
impartial [IMPLY] ugly [PERIOD]
amused [IMPLY] sincere [PERIOD]
messy [AND] amused [AND] supportive [IMPLY] comfortable [PERIOD]
frantic [AND] tidy [IMPLY] amused [PERIOD]
frantic [AND] light [AND] hurt [IMPLY] spotless [PERIOD]
fancy [AND] supportive [IMPLY] impartial [PERIOD]
wide-eyed [AND] aggressive [IMPLY] supportive [PERIOD]
sincere [IMPLY] wide-eyed [PERIOD]
glamorous [AND] messy [AND] rational [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] impartial [PERIOD]
ugly [AND] wide-eyed [AND] fragile [IMPLY] amused [PERIOD]
impartial [AND] sincere [IMPLY] disgusted [PERIOD]
comfortable [IMPLY] amused [PERIOD]
tidy [IMPLY] comfortable [PERIOD]
horrible [IMPLY] messy [PERIOD]
light [IMPLY] tidy [PERIOD]
disgusted [AND] fancy [AND] frantic [IMPLY] glamorous [PERIOD]
fancy [AND] wide-eyed [AND] glamorous [IMPLY] aggressive [PERIOD]
disgusted [AND] ugly [IMPLY] light [PERIOD]
tidy [IMPLY] ugly [PERIOD]
hurt [AND] ugly [AND] disgusted [IMPLY] aggressive [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   impartial ⇒ ugly
   disgusted ∧ ugly ⇒ light
   light ⇒ tidy
   tidy ⇒ sincere
",1,4
"Facts:  Alice is weary [PERIOD] Alice is supportive [PERIOD] Alice is jittery [PERIOD] Alice is strange [PERIOD] Alice is elated [PERIOD] Alice is spotless [PERIOD]
Rules:
supportive [AND] jittery [IMPLY] weary [PERIOD]
excited [AND] spotless [AND] talented [IMPLY] elated [PERIOD]
elated [IMPLY] strange [PERIOD]
amused [AND] elated [AND] spotless [IMPLY] excited [PERIOD]
amused [AND] supportive [AND] strange [IMPLY] excited [PERIOD]
cruel [AND] talented [AND] strange [IMPLY] busy [PERIOD]
talented [AND] jittery [IMPLY] amused [PERIOD]
elated [IMPLY] excited [PERIOD]
excited [AND] spotless [IMPLY] cruel [PERIOD]
busy [AND] cruel [IMPLY] elated [PERIOD]
strange [IMPLY] supportive [PERIOD]
talented [AND] excited [IMPLY] tense [PERIOD]
elated [IMPLY] tense [PERIOD]
tense [AND] strange [AND] supportive [IMPLY] spotless [PERIOD]
talented [IMPLY] jittery [PERIOD]
busy [AND] talented [IMPLY] weary [PERIOD]
weary [AND] tense [AND] busy [IMPLY] cruel [PERIOD]
amused [AND] excited [AND] strange [IMPLY] cruel [PERIOD]
strange [AND] talented [IMPLY] cruel [PERIOD]
spotless [AND] excited [IMPLY] supportive [PERIOD]
strange [AND] spotless [IMPLY] excited [PERIOD]
supportive [IMPLY] weary [PERIOD]
excited [AND] elated [AND] busy [IMPLY] amused [PERIOD]
cruel [AND] excited [AND] tense [IMPLY] busy [PERIOD]
weary [IMPLY] supportive [PERIOD]
strange [AND] amused [IMPLY] jittery [PERIOD]
strange [AND] spotless [AND] busy [IMPLY] excited [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   elated ⇒ excited
   elated ⇒ excited
   excited ∧ spotless ⇒ cruel
   elated ⇒ excited
   elated ⇒ tense
   cruel ∧ excited ∧ tense ⇒ busy
   excited ∧ elated ∧ busy ⇒ amused
",1,7
"Facts:  Alice is calm [PERIOD] Alice is wrong [PERIOD] Alice is shiny [PERIOD] Alice is disobedient [PERIOD] Alice is fearless [PERIOD] Alice is ugly [PERIOD]
Rules:
talkative [AND] disobedient [AND] diplomatic [IMPLY] talented [PERIOD]
thoughtful [AND] talented [IMPLY] old-fashioned [PERIOD]
wrong [AND] innocent [AND] old-fashioned [IMPLY] fine [PERIOD]
old-fashioned [AND] ugly [AND] calm [IMPLY] wrong [PERIOD]
ugly [AND] fine [IMPLY] cute [PERIOD]
thoughtful [AND] curious [IMPLY] talkative [PERIOD]
talkative [AND] calm [IMPLY] fine [PERIOD]
calm [IMPLY] ugly [PERIOD]
fine [AND] cute [IMPLY] gorgeous [PERIOD]
gorgeous [IMPLY] talented [PERIOD]
fine [AND] cute [IMPLY] fearless [PERIOD]
thoughtful [AND] fearless [IMPLY] ugly [PERIOD]
talented [AND] diplomatic [IMPLY] gorgeous [PERIOD]
ugly [AND] shiny [AND] talkative [IMPLY] curious [PERIOD]
cute [IMPLY] fearless [PERIOD]
fearless [AND] diplomatic [IMPLY] gorgeous [PERIOD]
calm [IMPLY] old-fashioned [PERIOD]
innocent [IMPLY] gorgeous [PERIOD]
innocent [AND] old-fashioned [IMPLY] gorgeous [PERIOD]
strange [IMPLY] cute [PERIOD]
shiny [IMPLY] ugly [PERIOD]
talkative [AND] fine [AND] wrong [IMPLY] calm [PERIOD]
strange [AND] calm [AND] fine [IMPLY] wrong [PERIOD]
disobedient [AND] fine [AND] gorgeous [IMPLY] thoughtful [PERIOD]
old-fashioned [IMPLY] thoughtful [PERIOD]
diplomatic [IMPLY] gorgeous [PERIOD]
ugly [IMPLY] gorgeous [PERIOD]
gorgeous [AND] ugly [AND] old-fashioned [IMPLY] wrong [PERIOD]
calm [IMPLY] fine [PERIOD]
disobedient [AND] curious [AND] fine [IMPLY] wrong [PERIOD]
thoughtful [AND] wrong [IMPLY] cute [PERIOD]
gorgeous [AND] old-fashioned [IMPLY] talented [PERIOD]
wrong [AND] gorgeous [IMPLY] strange [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   calm ⇒ fine
   ugly ⇒ gorgeous
   disobedient ∧ fine ∧ gorgeous ⇒ thoughtful
",1,3
"Facts:  Alice is straightforward [PERIOD] Alice is nervous [PERIOD]
Rules:
nervous [IMPLY] crowded [PERIOD]
messy [IMPLY] straightforward [PERIOD]
thoughtful [AND] combative [IMPLY] horrible [PERIOD]
cooperative [AND] disobedient [IMPLY] thoughtless [PERIOD]
loving [IMPLY] impatient [PERIOD]
lonely [AND] horrible [IMPLY] sleepy [PERIOD]
gleaming [IMPLY] victorious [PERIOD]
thoughtless [AND] ugly [AND] serious [IMPLY] nervous [PERIOD]
crowded [AND] horrible [IMPLY] impartial [PERIOD]
nervous [IMPLY] lonely [PERIOD]
charming [IMPLY] combative [PERIOD]
impartial [AND] gleaming [IMPLY] thoughtless [PERIOD]
horrible [AND] lonely [AND] nervous [IMPLY] wandering [PERIOD]
loving [IMPLY] ugly [PERIOD]
disgusted [AND] combative [AND] lonely [IMPLY] impartial [PERIOD]
sleepy [AND] serious [AND] victorious [IMPLY] combative [PERIOD]
disgusted [AND] nervous [AND] crowded [IMPLY] charming [PERIOD]
nervous [IMPLY] pleasant [PERIOD]
victorious [AND] beautiful [AND] lonely [IMPLY] pleasant [PERIOD]
disobedient [AND] victorious [AND] messy [IMPLY] wide-eyed [PERIOD]
serious [AND] disobedient [IMPLY] straightforward [PERIOD]
lonely [AND] wandering [AND] messy [IMPLY] crowded [PERIOD]
thoughtful [AND] horrible [IMPLY] loving [PERIOD]
serious [AND] victorious [AND] combative [IMPLY] thoughtful [PERIOD]
straightforward [IMPLY] ugly [PERIOD]
victorious [IMPLY] impartial [PERIOD]
pleasant [AND] cooperative [AND] combative [IMPLY] victorious [PERIOD]
gleaming [AND] pleasant [IMPLY] messy [PERIOD]
wide-eyed [IMPLY] impatient [PERIOD]
loving [IMPLY] straightforward [PERIOD]
combative [AND] thoughtless [IMPLY] exuberant [PERIOD]
disgusted [IMPLY] cooperative [PERIOD]
nervous [IMPLY] beautiful [PERIOD]
straightforward [AND] lonely [IMPLY] cooperative [PERIOD]
combative [IMPLY] charming [PERIOD]
exuberant [IMPLY] impartial [PERIOD]
impartial [AND] straightforward [IMPLY] horrible [PERIOD]
serious [IMPLY] disgusted [PERIOD]
wide-eyed [AND] serious [IMPLY] crowded [PERIOD]
nervous [AND] straightforward [IMPLY] loving [PERIOD]
wandering [IMPLY] beautiful [PERIOD]
combative [AND] charming [AND] gleaming [IMPLY] impartial [PERIOD]
nervous [AND] straightforward [AND] crowded [IMPLY] charming [PERIOD]
disgusted [AND] crowded [AND] combative [IMPLY] horrible [PERIOD]
pleasant [AND] victorious [IMPLY] combative [PERIOD]
wandering [AND] disgusted [AND] loving [IMPLY] thoughtful [PERIOD]
cooperative [IMPLY] messy [PERIOD]
impartial [AND] charming [AND] exuberant [IMPLY] ugly [PERIOD]
charming [AND] disobedient [IMPLY] crowded [PERIOD]
lonely [IMPLY] gleaming [PERIOD]
exuberant [AND] crowded [IMPLY] wide-eyed [PERIOD]
horrible [AND] gleaming [AND] thoughtful [IMPLY] crowded [PERIOD]
serious [AND] cooperative [IMPLY] impartial [PERIOD]
gleaming [AND] beautiful [AND] crowded [IMPLY] thoughtful [PERIOD]
horrible [IMPLY] loving [PERIOD]
gleaming [IMPLY] lonely [PERIOD]
impartial [AND] thoughtless [AND] loving [IMPLY] nervous [PERIOD]
pleasant [AND] impartial [AND] cooperative [IMPLY] wide-eyed [PERIOD]
crowded [AND] thoughtless [AND] disobedient [IMPLY] horrible [PERIOD]
sleepy [IMPLY] pleasant [PERIOD]
impartial [IMPLY] sleepy [PERIOD]
straightforward [IMPLY] beautiful [PERIOD]
straightforward [IMPLY] thoughtless [PERIOD]
crowded [AND] exuberant [IMPLY] lonely [PERIOD]
victorious [IMPLY] nervous [PERIOD]
sleepy [IMPLY] exuberant [PERIOD]
nervous [IMPLY] disobedient [PERIOD]
cooperative [AND] wide-eyed [IMPLY] straightforward [PERIOD]
cooperative [AND] charming [IMPLY] wide-eyed [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   nervous ⇒ crowded
   straightforward ⇒ thoughtless
   nervous ⇒ disobedient
   crowded ∧ thoughtless ∧ disobedient ⇒ horrible
   nervous ⇒ lonely
   horrible ∧ lonely ∧ nervous ⇒ wandering
",1,6
"Facts:  Alice is attentive [PERIOD] Alice is polite [PERIOD] Alice is pleasant [PERIOD] Alice is friendly [PERIOD] Alice is enchanting [PERIOD] Alice is homely [PERIOD] Alice is supportive [PERIOD] Alice is fearless [PERIOD] Alice is spotless [PERIOD] Alice is confused [PERIOD] Alice is modern [PERIOD] Alice is fancy [PERIOD]
Rules:
confused [AND] adorable [IMPLY] combative [PERIOD]
silly [AND] ambitious [AND] supportive [IMPLY] witty [PERIOD]
enchanting [IMPLY] fancy [PERIOD]
supportive [AND] confused [AND] famous [IMPLY] adorable [PERIOD]
homely [AND] famous [AND] fearless [IMPLY] silly [PERIOD]
fancy [AND] serious [AND] pleasant [IMPLY] versatile [PERIOD]
spotless [AND] worried [AND] confused [IMPLY] attentive [PERIOD]
ambitious [IMPLY] frightened [PERIOD]
fancy [IMPLY] outrageous [PERIOD]
fancy [AND] combative [AND] attentive [IMPLY] outrageous [PERIOD]
combative [AND] pleasant [AND] serious [IMPLY] modern [PERIOD]
pleasant [AND] shy [AND] confused [IMPLY] witty [PERIOD]
enchanting [AND] pleasant [AND] modern [IMPLY] disobedient [PERIOD]
frightened [AND] modern [AND] outrageous [IMPLY] tense [PERIOD]
disobedient [AND] frightened [AND] friendly [IMPLY] shy [PERIOD]
polite [IMPLY] witty [PERIOD]
spotless [AND] adorable [AND] fancy [IMPLY] supportive [PERIOD]
modern [AND] versatile [AND] serious [IMPLY] confused [PERIOD]
homely [AND] spotless [IMPLY] joyous [PERIOD]
joyous [IMPLY] silly [PERIOD]
spotless [AND] combative [AND] pleasant [IMPLY] tense [PERIOD]
tense [IMPLY] serious [PERIOD]
friendly [AND] polite [AND] fearless [IMPLY] shy [PERIOD]
silly [AND] versatile [AND] modern [IMPLY] fearless [PERIOD]
pleasant [AND] worried [AND] attentive [IMPLY] adorable [PERIOD]
serious [AND] disobedient [IMPLY] versatile [PERIOD]
modern [AND] serious [IMPLY] tense [PERIOD]
modern [AND] homely [IMPLY] tense [PERIOD]
silly [IMPLY] outrageous [PERIOD]
spotless [IMPLY] fearless [PERIOD]
fearless [IMPLY] adorable [PERIOD]
outrageous [AND] enchanting [AND] witty [IMPLY] attentive [PERIOD]
famous [AND] confused [IMPLY] combative [PERIOD]
outrageous [AND] polite [IMPLY] confused [PERIOD]
homely [AND] supportive [AND] adorable [IMPLY] versatile [PERIOD]
outrageous [AND] attentive [IMPLY] disgusted [PERIOD]
modern [IMPLY] joyous [PERIOD]
shy [AND] famous [IMPLY] witty [PERIOD]
shy [AND] frightened [IMPLY] friendly [PERIOD]
shy [AND] spotless [IMPLY] tense [PERIOD]
fancy [AND] attentive [AND] disobedient [IMPLY] spotless [PERIOD]
disgusted [IMPLY] homely [PERIOD]
homely [AND] modern [AND] famous [IMPLY] tense [PERIOD]
homely [AND] attentive [AND] combative [IMPLY] spotless [PERIOD]
versatile [IMPLY] tense [PERIOD]
ambitious [AND] polite [AND] shy [IMPLY] attentive [PERIOD]
joyous [AND] attentive [AND] disgusted [IMPLY] shy [PERIOD]
friendly [IMPLY] shy [PERIOD]
ambitious [IMPLY] pleasant [PERIOD]
adorable [AND] fearless [AND] enchanting [IMPLY] supportive [PERIOD]
witty [IMPLY] adorable [PERIOD]
serious [IMPLY] polite [PERIOD]
combative [AND] modern [AND] spotless [IMPLY] disobedient [PERIOD]
enchanting [IMPLY] adorable [PERIOD]
disgusted [AND] frightened [IMPLY] modern [PERIOD]
joyous [AND] frightened [AND] famous [IMPLY] silly [PERIOD]
witty [IMPLY] silly [PERIOD]
witty [AND] serious [IMPLY] outrageous [PERIOD]
spotless [AND] disobedient [IMPLY] pleasant [PERIOD]
ambitious [AND] famous [AND] polite [IMPLY] tense [PERIOD]
adorable [IMPLY] combative [PERIOD]
friendly [AND] shy [AND] combative [IMPLY] silly [PERIOD]
tense [AND] fearless [IMPLY] friendly [PERIOD]
witty [AND] outrageous [IMPLY] combative [PERIOD]
tense [AND] frightened [IMPLY] disobedient [PERIOD]
worried [IMPLY] combative [PERIOD]
fearless [IMPLY] enchanting [PERIOD]
disgusted [IMPLY] ambitious [PERIOD]
homely [IMPLY] versatile [PERIOD]
tense [IMPLY] homely [PERIOD]
fancy [IMPLY] polite [PERIOD]
witty [AND] confused [AND] spotless [IMPLY] outrageous [PERIOD]
fearless [AND] ambitious [IMPLY] tense [PERIOD]
worried [IMPLY] witty [PERIOD]
famous [IMPLY] friendly [PERIOD]
adorable [AND] friendly [AND] pleasant [IMPLY] ambitious [PERIOD]
serious [IMPLY] confused [PERIOD]
combative [AND] fearless [AND] adorable [IMPLY] fancy [PERIOD]
combative [AND] spotless [AND] friendly [IMPLY] modern [PERIOD]
silly [AND] fearless [IMPLY] famous [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   modern ∧ homely ⇒ tense
   tense ⇒ serious
",1,2
"Facts:  Alice is messy [PERIOD] Alice is busy [PERIOD] Alice is sensible [PERIOD] Alice is confused [PERIOD]
Rules:
messy [AND] joyous [IMPLY] witty [PERIOD]
diplomatic [AND] busy [AND] witty [IMPLY] average [PERIOD]
busy [AND] bright [IMPLY] messy [PERIOD]
joyous [IMPLY] bright [PERIOD]
agreeable [AND] joyous [IMPLY] diplomatic [PERIOD]
busy [AND] diplomatic [AND] exuberant [IMPLY] confused [PERIOD]
average [AND] bright [IMPLY] joyous [PERIOD]
messy [AND] confused [AND] busy [IMPLY] joyous [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
frantic [AND] friendly [IMPLY] clean [PERIOD]
shy [IMPLY] nervous [PERIOD]
gorgeous [IMPLY] old-fashioned [PERIOD]
witty [AND] frantic [AND] hypocritical [IMPLY] mysterious [PERIOD]
ugliest [AND] mysterious [AND] mean [IMPLY] hypocritical [PERIOD]
broad-minded [AND] frantic [AND] spotless [IMPLY] gorgeous [PERIOD]
mysterious [AND] ugliest [AND] nervous [IMPLY] hypocritical [PERIOD]
famous [IMPLY] mean [PERIOD]
gorgeous [AND] bad-tempered [AND] old-fashioned [IMPLY] amused [PERIOD]
embarrassed [AND] confused [AND] spotless [IMPLY] gorgeous [PERIOD]
witty [IMPLY] broad-minded [PERIOD]
witty [IMPLY] mean [PERIOD]
frantic [IMPLY] confused [PERIOD]
confused [IMPLY] bad-tempered [PERIOD]
clean [AND] witty [IMPLY] courageous [PERIOD]
famous [AND] frantic [IMPLY] bad-tempered [PERIOD]
shy [IMPLY] friendly [PERIOD]
friendly [AND] hypocritical [IMPLY] old-fashioned [PERIOD]
clean [AND] famous [IMPLY] hypocritical [PERIOD]
gorgeous [AND] ugliest [IMPLY] embarrassed [PERIOD]
hypocritical [AND] spotless [IMPLY] embarrassed [PERIOD]
famous [IMPLY] broad-minded [PERIOD]
mysterious [AND] hypocritical [IMPLY] nervous [PERIOD]
blushing [IMPLY] alert [PERIOD]
witty [IMPLY] gorgeous [PERIOD]
ugliest [AND] hypocritical [AND] blushing [IMPLY] broad-minded [PERIOD]
confused [IMPLY] frantic [PERIOD]
famous [AND] frantic [AND] friendly [IMPLY] embarrassed [PERIOD]
blushing [AND] clean [IMPLY] frantic [PERIOD]
nervous [AND] gorgeous [IMPLY] old-fashioned [PERIOD]
friendly [IMPLY] embarrassed [PERIOD]
frantic [IMPLY] clean [PERIOD]
ugliest [IMPLY] embarrassed [PERIOD]
shy [AND] old-fashioned [AND] witty [IMPLY] famous [PERIOD]
hypocritical [AND] clean [IMPLY] gorgeous [PERIOD]
hypocritical [IMPLY] blushing [PERIOD]
frantic [IMPLY] blushing [PERIOD]
clean [AND] old-fashioned [AND] embarrassed [IMPLY] hypocritical [PERIOD]
hypocritical [AND] spotless [AND] alert [IMPLY] courageous [PERIOD]
spotless [AND] courageous [AND] gorgeous [IMPLY] ugliest [PERIOD]
mean [AND] hypocritical [AND] bad-tempered [IMPLY] mysterious [PERIOD]
shy [AND] friendly [IMPLY] embarrassed [PERIOD]
bad-tempered [AND] nervous [IMPLY] witty [PERIOD]
embarrassed [AND] blushing [IMPLY] confused [PERIOD]
bad-tempered [IMPLY] courageous [PERIOD]
nervous [IMPLY] old-fashioned [PERIOD]
broad-minded [AND] embarrassed [AND] hypocritical [IMPLY] blushing [PERIOD]
spotless [IMPLY] courageous [PERIOD]
confused [AND] clean [AND] frantic [IMPLY] embarrassed [PERIOD]
broad-minded [AND] famous [AND] frantic [IMPLY] old-fashioned [PERIOD]
mean [AND] famous [IMPLY] gorgeous [PERIOD]
broad-minded [AND] confused [AND] nervous [IMPLY] amused [PERIOD]
confused [IMPLY] clean [PERIOD]
frantic [AND] amused [IMPLY] bad-tempered [PERIOD]
embarrassed [AND] alert [IMPLY] famous [PERIOD]
alert [AND] shy [IMPLY] friendly [PERIOD]
frantic [AND] witty [AND] blushing [IMPLY] clean [PERIOD]
spotless [AND] shy [AND] nervous [IMPLY] courageous [PERIOD]
witty [AND] alert [IMPLY] old-fashioned [PERIOD]
courageous [AND] famous [AND] broad-minded [IMPLY] embarrassed [PERIOD]
hypocritical [AND] embarrassed [IMPLY] mysterious [PERIOD]
broad-minded [AND] frantic [IMPLY] famous [PERIOD]
confused [AND] amused [IMPLY] spotless [PERIOD]
ugliest [AND] courageous [AND] blushing [IMPLY] confused [PERIOD]
nervous [IMPLY] clean [PERIOD]
confused [IMPLY] friendly [PERIOD]
hypocritical [IMPLY] shy [PERIOD]
witty [AND] amused [IMPLY] broad-minded [PERIOD]
spotless [AND] friendly [IMPLY] old-fashioned [PERIOD]
witty [IMPLY] frantic [PERIOD]
confused [IMPLY] witty [PERIOD]
frantic [AND] hypocritical [IMPLY] confused [PERIOD]
gorgeous [IMPLY] nervous [PERIOD]
hypocritical [AND] gorgeous [IMPLY] famous [PERIOD]
nervous [AND] blushing [AND] mysterious [IMPLY] embarrassed [PERIOD]
alert [AND] embarrassed [IMPLY] friendly [PERIOD]
mysterious [AND] witty [AND] confused [IMPLY] gorgeous [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   Cannot apply rule “shy ⇒ nervous” because missing: shy.
   Cannot apply rule “mysterious ∧ hypocritical ⇒ nervous” because missing: mysterious, hypocritical.
   Cannot apply rule “gorgeous ⇒ nervous” because missing: gorgeous.
",0,3
"Facts: 
Rules:
reserved [AND] different [AND] weary [IMPLY] tidy [PERIOD]
perfect [AND] muddy [IMPLY] tidy [PERIOD]
silly [IMPLY] different [PERIOD]
embarrassed [IMPLY] reserved [PERIOD]
wide-eyed [IMPLY] different [PERIOD]
muddy [IMPLY] silly [PERIOD]
mean [IMPLY] muddy [PERIOD]
weary [AND] silly [AND] tidy [IMPLY] wide-eyed [PERIOD]
silly [AND] embarrassed [IMPLY] wide-eyed [PERIOD]
perfect [AND] reserved [AND] embarrassed [IMPLY] mean [PERIOD]
embarrassed [AND] sensible [AND] reserved [IMPLY] tidy [PERIOD]
precious [AND] silly [AND] helpless [IMPLY] wide-eyed [PERIOD]
embarrassed [AND] tidy [IMPLY] weary [PERIOD]
mean [AND] perfect [AND] wide-eyed [IMPLY] embarrassed [PERIOD]
helpless [AND] perfect [AND] precious [IMPLY] tidy [PERIOD]
embarrassed [IMPLY] perfect [PERIOD]
precious [AND] muddy [IMPLY] sensible [PERIOD]
tidy [AND] perfect [IMPLY] silly [PERIOD]
weary [IMPLY] silly [PERIOD]
mean [AND] different [AND] reserved [IMPLY] weary [PERIOD]
precious [IMPLY] reserved [PERIOD]
wide-eyed [IMPLY] silly [PERIOD]
perfect [AND] different [AND] reserved [IMPLY] embarrassed [PERIOD]
reserved [AND] perfect [AND] sensible [IMPLY] helpless [PERIOD]
weary [AND] wide-eyed [AND] precious [IMPLY] tidy [PERIOD]
wide-eyed [AND] different [IMPLY] precious [PERIOD]
helpless [AND] weary [IMPLY] sensible [PERIOD]
tidy [IMPLY] muddy [PERIOD]
tidy [AND] different [IMPLY] wide-eyed [PERIOD]
precious [AND] different [AND] reserved [IMPLY] mean [PERIOD]
precious [IMPLY] mean [PERIOD]
muddy [AND] mean [IMPLY] different [PERIOD]
perfect [AND] tidy [AND] reserved [IMPLY] helpless [PERIOD]
reserved [IMPLY] embarrassed [PERIOD]
different [AND] tidy [IMPLY] reserved [PERIOD]
weary [AND] muddy [IMPLY] embarrassed [PERIOD]
silly [IMPLY] tidy [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   Cannot apply rule “silly ⇒ different” because missing: silly.
   Cannot apply rule “wide-eyed ⇒ different” because missing: wide-eyed.
   Cannot apply rule “muddy ∧ mean ⇒ different” because missing: muddy, mean.
",0,3
"Facts:  Alice is outstanding [PERIOD] Alice is blushing [PERIOD] Alice is stubborn [PERIOD]
Rules:
blushing [IMPLY] light [PERIOD]
ambitious [AND] gifted [IMPLY] attractive [PERIOD]
rational [AND] polite [AND] popular [IMPLY] charming [PERIOD]
charming [AND] polite [AND] serious [IMPLY] popular [PERIOD]
inquisitive [IMPLY] polite [PERIOD]
charming [AND] messy [IMPLY] witty [PERIOD]
inquisitive [AND] outstanding [IMPLY] pessimistic [PERIOD]
blushing [IMPLY] stubborn [PERIOD]
ambitious [AND] polite [IMPLY] pessimistic [PERIOD]
stormy [IMPLY] gifted [PERIOD]
stubborn [IMPLY] popular [PERIOD]
charming [IMPLY] messy [PERIOD]
inexpensive [AND] serious [AND] polite [IMPLY] fearless [PERIOD]
blushing [IMPLY] attractive [PERIOD]
rational [AND] friendly [IMPLY] pessimistic [PERIOD]
spotless [IMPLY] messy [PERIOD]
light [IMPLY] zealous [PERIOD]
tense [AND] popular [IMPLY] polite [PERIOD]
spotless [AND] blushing [AND] witty [IMPLY] inexpensive [PERIOD]
embarrassed [IMPLY] serious [PERIOD]
stubborn [AND] ambitious [AND] fearless [IMPLY] pessimistic [PERIOD]
messy [IMPLY] popular [PERIOD]
fearless [AND] inexpensive [IMPLY] inquisitive [PERIOD]
tense [AND] serious [IMPLY] stormy [PERIOD]
embarrassed [AND] serious [AND] inexpensive [IMPLY] rational [PERIOD]
popular [AND] blushing [AND] polite [IMPLY] spotless [PERIOD]
popular [IMPLY] rational [PERIOD]
popular [IMPLY] blushing [PERIOD]
stubborn [IMPLY] polite [PERIOD]
blushing [IMPLY] fearless [PERIOD]
light [AND] spotless [IMPLY] stormy [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   blushing ⇒ fearless
",1,1
"Facts:  Alice is mean [PERIOD] Alice is powerful [PERIOD] Alice is elated [PERIOD] Alice is clumsy [PERIOD] Alice is ambitious [PERIOD] Alice is aggressive [PERIOD] Alice is lucky [PERIOD]
Rules:
mean [AND] lucky [AND] powerful [IMPLY] clumsy [PERIOD]
mean [AND] aggressive [AND] elated [IMPLY] clumsy [PERIOD]
lucky [AND] elated [IMPLY] ambitious [PERIOD]
aggressive [IMPLY] mean [PERIOD]
elated [IMPLY] clumsy [PERIOD]
mean [IMPLY] clumsy [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is hurt [PERIOD] Alice is zealous [PERIOD] Alice is attractive [PERIOD] Alice is stupid [PERIOD] Alice is powerful [PERIOD]
Rules:
tidy [AND] clumsy [AND] powerful [IMPLY] silly [PERIOD]
attractive [AND] powerful [IMPLY] stupid [PERIOD]
wandering [AND] worried [AND] stupid [IMPLY] attractive [PERIOD]
uptight [AND] foolish [IMPLY] clumsy [PERIOD]
uptight [AND] friendly [AND] fearless [IMPLY] foolish [PERIOD]
foolish [AND] powerful [AND] fragile [IMPLY] hurt [PERIOD]
worried [AND] condemned [AND] attractive [IMPLY] elegant [PERIOD]
elegant [AND] hurt [AND] zealous [IMPLY] attractive [PERIOD]
gifted [AND] attractive [IMPLY] powerful [PERIOD]
uptight [AND] friendly [IMPLY] stupid [PERIOD]
fragile [AND] careless [IMPLY] attractive [PERIOD]
bored [IMPLY] careless [PERIOD]
condemned [AND] friendly [IMPLY] silly [PERIOD]
bored [AND] elegant [AND] foolish [IMPLY] worried [PERIOD]
condemned [IMPLY] hurt [PERIOD]
amused [AND] tidy [IMPLY] condemned [PERIOD]
zealous [IMPLY] tidy [PERIOD]
worried [AND] wandering [IMPLY] aggressive [PERIOD]
uptight [AND] clumsy [AND] silly [IMPLY] wrong [PERIOD]
fragile [IMPLY] worried [PERIOD]
elegant [AND] aggressive [AND] foolish [IMPLY] amused [PERIOD]
wandering [AND] tidy [IMPLY] wrong [PERIOD]
attractive [AND] inquisitive [AND] tidy [IMPLY] intellectual [PERIOD]
bored [AND] powerful [AND] pleasant [IMPLY] wandering [PERIOD]
hurt [AND] fearless [IMPLY] stupid [PERIOD]
fragile [AND] careless [IMPLY] fearless [PERIOD]
powerful [IMPLY] bored [PERIOD]
intellectual [IMPLY] wrong [PERIOD]
careless [AND] fearless [IMPLY] wrong [PERIOD]
friendly [IMPLY] amused [PERIOD]
fearless [AND] elegant [AND] wandering [IMPLY] zealous [PERIOD]
stupid [AND] condemned [IMPLY] gifted [PERIOD]
hurt [AND] bored [AND] elegant [IMPLY] gifted [PERIOD]
bored [IMPLY] tidy [PERIOD]
wrong [IMPLY] condemned [PERIOD]
bored [AND] worried [IMPLY] elegant [PERIOD]
silly [AND] aggressive [AND] attractive [IMPLY] powerful [PERIOD]
pleasant [IMPLY] amused [PERIOD]
wrong [AND] uptight [AND] wandering [IMPLY] attractive [PERIOD]
bored [AND] foolish [AND] amused [IMPLY] intellectual [PERIOD]
friendly [AND] uptight [AND] worried [IMPLY] fragile [PERIOD]
silly [AND] tidy [IMPLY] stupid [PERIOD]
tidy [IMPLY] silly [PERIOD]
wrong [AND] powerful [IMPLY] careless [PERIOD]
wandering [AND] condemned [AND] bored [IMPLY] clumsy [PERIOD]
foolish [IMPLY] zealous [PERIOD]
friendly [IMPLY] inquisitive [PERIOD]
wrong [AND] worried [IMPLY] gifted [PERIOD]
tidy [IMPLY] foolish [PERIOD]
fearless [AND] clumsy [IMPLY] amused [PERIOD]
attractive [AND] silly [IMPLY] foolish [PERIOD]
pleasant [AND] intellectual [IMPLY] bored [PERIOD]
worried [AND] aggressive [IMPLY] pleasant [PERIOD]
gifted [AND] fearless [IMPLY] inquisitive [PERIOD]
careless [IMPLY] worried [PERIOD]
attractive [IMPLY] elegant [PERIOD]
amused [AND] foolish [AND] silly [IMPLY] powerful [PERIOD]
hurt [IMPLY] inquisitive [PERIOD]
fragile [AND] amused [AND] careless [IMPLY] silly [PERIOD]
wandering [AND] uptight [IMPLY] careless [PERIOD]
powerful [IMPLY] uptight [PERIOD]
gifted [AND] bored [AND] wandering [IMPLY] uptight [PERIOD]
amused [IMPLY] inquisitive [PERIOD]
pleasant [AND] wandering [IMPLY] uptight [PERIOD]
pleasant [IMPLY] bored [PERIOD]
silly [AND] amused [IMPLY] foolish [PERIOD]
uptight [IMPLY] wrong [PERIOD]
pleasant [IMPLY] tidy [PERIOD]
pleasant [AND] inquisitive [AND] attractive [IMPLY] tidy [PERIOD]
elegant [IMPLY] careless [PERIOD]
uptight [IMPLY] foolish [PERIOD]
careless [AND] friendly [IMPLY] wandering [PERIOD]
attractive [AND] careless [AND] elegant [IMPLY] zealous [PERIOD]
zealous [AND] wandering [IMPLY] clumsy [PERIOD]
silly [AND] stupid [AND] foolish [IMPLY] bored [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
   powerful ⇒ bored
   bored ⇒ careless
   careless ⇒ worried
   Cannot apply rule “worried ∧ wandering ⇒ aggressive” because missing: wandering.
",0,4
"Facts:  Alice is straightforward [PERIOD] Alice is outrageous [PERIOD]
Rules:
serious [AND] pleasant [IMPLY] inexpensive [PERIOD]
loving [AND] outrageous [AND] amused [IMPLY] embarrassed [PERIOD]
straightforward [IMPLY] spotless [PERIOD]
serious [AND] amused [IMPLY] spotless [PERIOD]
intellectual [AND] amused [AND] inexpensive [IMPLY] serious [PERIOD]
inexpensive [IMPLY] adorable [PERIOD]
fine [AND] spotless [IMPLY] fancy [PERIOD]
spotless [IMPLY] serious [PERIOD]
spotless [AND] fancy [IMPLY] pleasant [PERIOD]
loving [AND] intellectual [AND] spotless [IMPLY] fine [PERIOD]
loving [AND] intellectual [IMPLY] amused [PERIOD]
outrageous [AND] pleasant [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] amused [PERIOD]
inexpensive [IMPLY] amused [PERIOD]
amused [AND] straightforward [IMPLY] serious [PERIOD]
straightforward [IMPLY] serious [PERIOD]
loving [IMPLY] intellectual [PERIOD]
fancy [AND] spotless [IMPLY] inexpensive [PERIOD]
embarrassed [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] pleasant [PERIOD]
embarrassed [AND] pleasant [AND] serious [IMPLY] straightforward [PERIOD]
embarrassed [IMPLY] fine [PERIOD]
adorable [AND] serious [IMPLY] inexpensive [PERIOD]
straightforward [IMPLY] pleasant [PERIOD]
serious [IMPLY] straightforward [PERIOD]
adorable [AND] loving [IMPLY] fancy [PERIOD]
straightforward [IMPLY] outrageous [PERIOD]
embarrassed [IMPLY] intellectual [PERIOD]
loving [IMPLY] adorable [PERIOD]
adorable [AND] straightforward [IMPLY] loving [PERIOD]
outrageous [AND] fancy [IMPLY] adorable [PERIOD]
pleasant [AND] loving [IMPLY] fancy [PERIOD]
amused [AND] fancy [IMPLY] intellectual [PERIOD]
serious [AND] embarrassed [IMPLY] fancy [PERIOD]
intellectual [AND] spotless [AND] loving [IMPLY] fancy [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   straightforward ⇒ serious
   outrageous ⇒ pleasant
   serious ∧ pleasant ⇒ inexpensive
   inexpensive ⇒ adorable
   adorable ∧ straightforward ⇒ loving
",1,5
"Facts: 
Rules:
worried [AND] bossy [IMPLY] outrageous [PERIOD]
fancy [IMPLY] bossy [PERIOD]
bossy [IMPLY] outrageous [PERIOD]
bossy [AND] outrageous [IMPLY] sensible [PERIOD]
sensible [AND] worried [AND] outrageous [IMPLY] messy [PERIOD]
bossy [AND] worried [AND] messy [IMPLY] fancy [PERIOD]
fancy [AND] bossy [AND] messy [IMPLY] outrageous [PERIOD]
outrageous [AND] fancy [IMPLY] bossy [PERIOD]
outrageous [AND] fancy [AND] worried [IMPLY] messy [PERIOD]
outrageous [AND] bossy [IMPLY] fancy [PERIOD]
worried [AND] outrageous [IMPLY] messy [PERIOD]
bossy [AND] fancy [IMPLY] worried [PERIOD]
sensible [AND] fancy [IMPLY] bossy [PERIOD]
messy [AND] sensible [AND] worried [IMPLY] fancy [PERIOD]
sensible [IMPLY] worried [PERIOD]
fancy [AND] outrageous [IMPLY] worried [PERIOD]
Query: Alice is messy [PERIOD]","Proof chain:
   Cannot apply rule “sensible ∧ worried ∧ outrageous ⇒ messy” because missing: sensible, worried, outrageous.
   Cannot apply rule “outrageous ∧ fancy ∧ worried ⇒ messy” because missing: outrageous, fancy, worried.
   Cannot apply rule “worried ∧ outrageous ⇒ messy” because missing: worried, outrageous.
",0,3
"Facts:  Alice is light [PERIOD] Alice is unpleasant [PERIOD]
Rules:
light [IMPLY] unpleasant [PERIOD]
attentive [AND] different [IMPLY] talkative [PERIOD]
different [AND] light [AND] worrisome [IMPLY] disgusted [PERIOD]
condemned [AND] worrisome [IMPLY] light [PERIOD]
different [AND] light [AND] talkative [IMPLY] condemned [PERIOD]
worrisome [AND] disgusted [AND] different [IMPLY] diplomatic [PERIOD]
unpleasant [IMPLY] disgusted [PERIOD]
light [AND] talkative [AND] worrisome [IMPLY] different [PERIOD]
disgusted [AND] talkative [IMPLY] diplomatic [PERIOD]
attentive [IMPLY] talkative [PERIOD]
disgusted [AND] talkative [AND] unpleasant [IMPLY] condemned [PERIOD]
worrisome [AND] different [IMPLY] diplomatic [PERIOD]
talkative [AND] light [IMPLY] diplomatic [PERIOD]
talkative [IMPLY] light [PERIOD]
condemned [AND] light [IMPLY] different [PERIOD]
different [AND] worrisome [IMPLY] talkative [PERIOD]
light [AND] different [AND] talkative [IMPLY] diplomatic [PERIOD]
different [AND] disgusted [IMPLY] condemned [PERIOD]
unpleasant [IMPLY] attentive [PERIOD]
talkative [AND] different [IMPLY] disgusted [PERIOD]
talkative [AND] unpleasant [IMPLY] light [PERIOD]
talkative [AND] unpleasant [AND] different [IMPLY] light [PERIOD]
worrisome [AND] unpleasant [IMPLY] diplomatic [PERIOD]
worrisome [AND] light [IMPLY] unpleasant [PERIOD]
disgusted [AND] worrisome [IMPLY] condemned [PERIOD]
unpleasant [IMPLY] diplomatic [PERIOD]
different [AND] light [IMPLY] worrisome [PERIOD]
attentive [AND] different [IMPLY] condemned [PERIOD]
diplomatic [IMPLY] unpleasant [PERIOD]
diplomatic [AND] light [AND] unpleasant [IMPLY] attentive [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is tame [PERIOD] Alice is bad-tempered [PERIOD] Alice is clean [PERIOD] Alice is clumsy [PERIOD] Alice is outrageous [PERIOD] Alice is sensible [PERIOD] Alice is scared [PERIOD] Alice is talkative [PERIOD] Alice is precious [PERIOD] Alice is charming [PERIOD] Alice is wide-eyed [PERIOD] Alice is condemned [PERIOD]
Rules:
talkative [IMPLY] spotless [PERIOD]
bad-tempered [AND] outrageous [AND] strange [IMPLY] condemned [PERIOD]
lonely [AND] charming [AND] clean [IMPLY] distinct [PERIOD]
condemned [IMPLY] cooperative [PERIOD]
bad-tempered [AND] talkative [IMPLY] distinct [PERIOD]
sensible [IMPLY] distinct [PERIOD]
alert [AND] charming [IMPLY] outrageous [PERIOD]
sensible [IMPLY] charming [PERIOD]
talkative [IMPLY] charming [PERIOD]
spotless [AND] tame [IMPLY] clean [PERIOD]
cooperative [IMPLY] talkative [PERIOD]
alert [IMPLY] clumsy [PERIOD]
alert [AND] wide-eyed [AND] clean [IMPLY] talkative [PERIOD]
condemned [IMPLY] muddy [PERIOD]
sensible [AND] outrageous [IMPLY] precious [PERIOD]
muddy [AND] charming [IMPLY] clean [PERIOD]
alert [AND] lonely [IMPLY] stormy [PERIOD]
scared [AND] condemned [AND] sensible [IMPLY] cooperative [PERIOD]
sensible [AND] tame [IMPLY] stormy [PERIOD]
muddy [AND] stormy [IMPLY] talkative [PERIOD]
alert [IMPLY] clean [PERIOD]
distinct [IMPLY] fancy [PERIOD]
spotless [AND] clumsy [IMPLY] shy [PERIOD]
scared [AND] muddy [IMPLY] condemned [PERIOD]
clumsy [AND] charming [IMPLY] shy [PERIOD]
cooperative [IMPLY] sensible [PERIOD]
distinct [AND] muddy [AND] clean [IMPLY] spotless [PERIOD]
fancy [AND] charming [IMPLY] spotless [PERIOD]
wide-eyed [AND] outrageous [AND] stormy [IMPLY] fancy [PERIOD]
precious [AND] spotless [IMPLY] outrageous [PERIOD]
precious [AND] sensible [IMPLY] cooperative [PERIOD]
talkative [IMPLY] wide-eyed [PERIOD]
sensible [IMPLY] alert [PERIOD]
tame [AND] strange [IMPLY] distinct [PERIOD]
scared [AND] strange [AND] clumsy [IMPLY] tame [PERIOD]
charming [AND] scared [IMPLY] shy [PERIOD]
fancy [AND] cooperative [AND] distinct [IMPLY] shy [PERIOD]
scared [IMPLY] alert [PERIOD]
muddy [AND] talkative [IMPLY] tame [PERIOD]
distinct [AND] clumsy [IMPLY] talkative [PERIOD]
sensible [AND] bad-tempered [AND] talkative [IMPLY] cooperative [PERIOD]
distinct [AND] spotless [IMPLY] shy [PERIOD]
charming [AND] dull [AND] alert [IMPLY] lonely [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   sensible ∧ tame ⇒ stormy
",1,1
"Facts:  Alice is ugliest [PERIOD] Alice is helpless [PERIOD] Alice is shiny [PERIOD] Alice is spotless [PERIOD] Alice is condemned [PERIOD] Alice is pessimistic [PERIOD] Alice is adorable [PERIOD] Alice is wide-eyed [PERIOD] Alice is smart [PERIOD] Alice is jittery [PERIOD] Alice is disgusted [PERIOD]
Rules:
comfortable [AND] impartial [AND] crowded [IMPLY] smart [PERIOD]
condemned [AND] perfect [AND] helpful [IMPLY] smart [PERIOD]
comfortable [IMPLY] loving [PERIOD]
shiny [IMPLY] cute [PERIOD]
pessimistic [AND] exuberant [AND] crowded [IMPLY] adorable [PERIOD]
thoughtful [AND] supportive [AND] smart [IMPLY] perfect [PERIOD]
adorable [AND] vivacious [IMPLY] impartial [PERIOD]
pessimistic [AND] vivacious [IMPLY] smart [PERIOD]
crowded [AND] shiny [AND] clean [IMPLY] smart [PERIOD]
loving [AND] wide-eyed [AND] thoughtful [IMPLY] pessimistic [PERIOD]
shiny [AND] clean [IMPLY] loving [PERIOD]
adorable [IMPLY] spotless [PERIOD]
cute [AND] loving [AND] shiny [IMPLY] stormy [PERIOD]
spotless [AND] pessimistic [AND] helpful [IMPLY] adorable [PERIOD]
exuberant [AND] old-fashioned [IMPLY] helpful [PERIOD]
impartial [AND] clean [AND] jittery [IMPLY] supportive [PERIOD]
crowded [AND] loving [AND] old-fashioned [IMPLY] smart [PERIOD]
crowded [IMPLY] vivacious [PERIOD]
stormy [AND] cute [AND] clean [IMPLY] loving [PERIOD]
cute [AND] jittery [IMPLY] clean [PERIOD]
ugliest [AND] exuberant [AND] vivacious [IMPLY] crowded [PERIOD]
smart [IMPLY] ugliest [PERIOD]
exuberant [AND] joyous [IMPLY] loving [PERIOD]
ugliest [IMPLY] joyous [PERIOD]
shiny [AND] clean [AND] thoughtful [IMPLY] adorable [PERIOD]
pessimistic [IMPLY] clean [PERIOD]
pessimistic [AND] impartial [IMPLY] exuberant [PERIOD]
supportive [AND] loving [AND] cruel [IMPLY] shiny [PERIOD]
helpless [AND] old-fashioned [AND] cute [IMPLY] loving [PERIOD]
wide-eyed [AND] stormy [IMPLY] supportive [PERIOD]
supportive [IMPLY] joyous [PERIOD]
adorable [AND] clean [AND] helpless [IMPLY] cruel [PERIOD]
zealous [IMPLY] condemned [PERIOD]
smart [IMPLY] adorable [PERIOD]
jittery [AND] perfect [IMPLY] thoughtful [PERIOD]
old-fashioned [AND] shiny [IMPLY] perfect [PERIOD]
ugliest [IMPLY] loving [PERIOD]
comfortable [IMPLY] impartial [PERIOD]
old-fashioned [AND] disgusted [IMPLY] supportive [PERIOD]
jittery [AND] supportive [AND] shiny [IMPLY] wide-eyed [PERIOD]
perfect [AND] vivacious [IMPLY] loving [PERIOD]
loving [IMPLY] clean [PERIOD]
comfortable [AND] adorable [AND] loving [IMPLY] exuberant [PERIOD]
vivacious [IMPLY] cute [PERIOD]
vivacious [AND] impartial [IMPLY] zealous [PERIOD]
impartial [AND] helpless [IMPLY] crowded [PERIOD]
zealous [AND] crowded [AND] spotless [IMPLY] exuberant [PERIOD]
loving [AND] pessimistic [IMPLY] stormy [PERIOD]
perfect [AND] loving [AND] stormy [IMPLY] thoughtful [PERIOD]
impartial [AND] old-fashioned [AND] spotless [IMPLY] perfect [PERIOD]
joyous [IMPLY] helpless [PERIOD]
loving [AND] joyous [IMPLY] wide-eyed [PERIOD]
cruel [IMPLY] adorable [PERIOD]
loving [IMPLY] stormy [PERIOD]
clean [AND] wide-eyed [AND] adorable [IMPLY] jittery [PERIOD]
helpless [AND] shiny [AND] disgusted [IMPLY] crowded [PERIOD]
vivacious [AND] comfortable [AND] zealous [IMPLY] condemned [PERIOD]
exuberant [IMPLY] perfect [PERIOD]
adorable [IMPLY] cute [PERIOD]
joyous [AND] zealous [IMPLY] wide-eyed [PERIOD]
cute [AND] smart [AND] supportive [IMPLY] joyous [PERIOD]
clean [AND] vivacious [AND] perfect [IMPLY] thoughtful [PERIOD]
impartial [IMPLY] vivacious [PERIOD]
adorable [AND] zealous [AND] impartial [IMPLY] pessimistic [PERIOD]
supportive [AND] zealous [AND] ugliest [IMPLY] adorable [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   helpless ∧ shiny ∧ disgusted ⇒ crowded
   crowded ⇒ vivacious
   adorable ∧ vivacious ⇒ impartial
   pessimistic ∧ impartial ⇒ exuberant
   exuberant ⇒ perfect
",1,5
"Facts: 
Rules:
distinct [IMPLY] quaint [PERIOD]
distinct [IMPLY] shiny [PERIOD]
sensible [AND] quaint [AND] cooperative [IMPLY] inexpensive [PERIOD]
unpleasant [AND] inexpensive [AND] quaint [IMPLY] calm [PERIOD]
quaint [IMPLY] calm [PERIOD]
foolish [IMPLY] unpleasant [PERIOD]
dull [IMPLY] cooperative [PERIOD]
calm [AND] ugly [AND] sensible [IMPLY] pleasant [PERIOD]
unpleasant [AND] calm [IMPLY] dull [PERIOD]
dishonest [AND] disgusted [AND] ugly [IMPLY] shiny [PERIOD]
shiny [AND] dull [AND] ugly [IMPLY] foolish [PERIOD]
precious [AND] foolish [IMPLY] dishonest [PERIOD]
gleaming [AND] intellectual [IMPLY] precious [PERIOD]
calm [AND] gleaming [IMPLY] disgusted [PERIOD]
quaint [AND] cooperative [IMPLY] intellectual [PERIOD]
dull [AND] dishonest [IMPLY] pleasant [PERIOD]
shiny [IMPLY] cooperative [PERIOD]
pleasant [IMPLY] disgusted [PERIOD]
ugly [AND] distinct [AND] calm [IMPLY] precious [PERIOD]
ugly [AND] unpleasant [AND] dishonest [IMPLY] dull [PERIOD]
intellectual [AND] unpleasant [AND] inexpensive [IMPLY] disgusted [PERIOD]
calm [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] calm [PERIOD]
calm [IMPLY] cooperative [PERIOD]
dull [IMPLY] pleasant [PERIOD]
dull [IMPLY] foolish [PERIOD]
shiny [IMPLY] quaint [PERIOD]
distinct [AND] shiny [AND] disgusted [IMPLY] inexpensive [PERIOD]
precious [IMPLY] distinct [PERIOD]
shiny [AND] distinct [AND] disgusted [IMPLY] intellectual [PERIOD]
inexpensive [AND] distinct [AND] shiny [IMPLY] gleaming [PERIOD]
inexpensive [AND] unpleasant [AND] disgusted [IMPLY] sensible [PERIOD]
cooperative [IMPLY] sensible [PERIOD]
ugly [AND] foolish [IMPLY] distinct [PERIOD]
sensible [AND] unpleasant [IMPLY] distinct [PERIOD]
intellectual [AND] cooperative [AND] ugly [IMPLY] inexpensive [PERIOD]
dull [AND] shiny [AND] distinct [IMPLY] sensible [PERIOD]
dull [AND] precious [AND] ugly [IMPLY] distinct [PERIOD]
cooperative [IMPLY] dull [PERIOD]
precious [IMPLY] shiny [PERIOD]
shiny [AND] calm [AND] cooperative [IMPLY] ugly [PERIOD]
dull [AND] precious [IMPLY] shiny [PERIOD]
disgusted [AND] dull [IMPLY] pleasant [PERIOD]
precious [AND] unpleasant [IMPLY] ugly [PERIOD]
unpleasant [IMPLY] calm [PERIOD]
intellectual [IMPLY] distinct [PERIOD]
pleasant [IMPLY] distinct [PERIOD]
quaint [AND] pleasant [IMPLY] disgusted [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   Cannot apply rule “calm ∧ ugly ∧ sensible ⇒ pleasant” because missing: calm, ugly, sensible.
   Cannot apply rule “dull ∧ dishonest ⇒ pleasant” because missing: dull, dishonest.
   Cannot apply rule “calm ⇒ pleasant” because missing: calm.
   Cannot apply rule “dull ⇒ pleasant” because missing: dull.
   Cannot apply rule “disgusted ∧ dull ⇒ pleasant” because missing: disgusted, dull.
",0,5
"Facts:  Alice is combative [PERIOD] Alice is gorgeous [PERIOD] Alice is distinct [PERIOD] Alice is cruel [PERIOD] Alice is weary [PERIOD] Alice is amused [PERIOD] Alice is witty [PERIOD] Alice is calm [PERIOD] Alice is light [PERIOD] Alice is proud [PERIOD] Alice is bored [PERIOD] Alice is victorious [PERIOD] Alice is innocent [PERIOD] Alice is enchanting [PERIOD] Alice is dull [PERIOD] Alice is lucky [PERIOD] Alice is elated [PERIOD] Alice is aggressive [PERIOD] Alice is spotless [PERIOD] Alice is troubled [PERIOD]
Rules:
elated [IMPLY] gorgeous [PERIOD]
innocent [AND] aggressive [AND] cruel [IMPLY] weary [PERIOD]
amused [AND] reserved [IMPLY] troubled [PERIOD]
attentive [AND] calm [IMPLY] spotless [PERIOD]
innocent [IMPLY] amused [PERIOD]
innocent [AND] combative [IMPLY] calm [PERIOD]
spotless [IMPLY] reserved [PERIOD]
enchanting [AND] light [AND] distinct [IMPLY] spotless [PERIOD]
witty [AND] calm [AND] enchanting [IMPLY] combative [PERIOD]
calm [AND] dull [IMPLY] troubled [PERIOD]
distinct [AND] bored [AND] witty [IMPLY] combative [PERIOD]
combative [AND] amused [IMPLY] distinct [PERIOD]
bored [IMPLY] light [PERIOD]
weary [AND] calm [IMPLY] proud [PERIOD]
distinct [IMPLY] light [PERIOD]
attentive [AND] distinct [IMPLY] ambitious [PERIOD]
reserved [AND] bored [IMPLY] troubled [PERIOD]
dull [IMPLY] amused [PERIOD]
careless [IMPLY] gorgeous [PERIOD]
distinct [AND] careless [IMPLY] spotless [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is wide-eyed [PERIOD] Alice is gleaming [PERIOD] Alice is easy [PERIOD] Alice is selfish [PERIOD] Alice is witty [PERIOD] Alice is careless [PERIOD] Alice is tired [PERIOD] Alice is cute [PERIOD] Alice is quaint [PERIOD] Alice is vivacious [PERIOD] Alice is precious [PERIOD]
Rules:
wide-eyed [AND] quaint [AND] precious [IMPLY] vivacious [PERIOD]
vivacious [AND] quaint [IMPLY] innocent [PERIOD]
dull [IMPLY] mean [PERIOD]
cooperative [IMPLY] strange [PERIOD]
cooperative [AND] easy [AND] precious [IMPLY] cute [PERIOD]
innocent [AND] cute [IMPLY] gleaming [PERIOD]
careless [AND] enchanting [AND] gleaming [IMPLY] innocent [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is joyous [PERIOD]
Rules:
impartial [AND] messy [AND] confused [IMPLY] plain [PERIOD]
innocent [IMPLY] confused [PERIOD]
impartial [AND] lucky [AND] fearless [IMPLY] messy [PERIOD]
diplomatic [AND] lucky [IMPLY] confused [PERIOD]
joyous [AND] messy [IMPLY] lucky [PERIOD]
innocent [IMPLY] plain [PERIOD]
messy [AND] lucky [AND] impartial [IMPLY] fearless [PERIOD]
innocent [AND] messy [IMPLY] confused [PERIOD]
messy [AND] joyous [AND] fearless [IMPLY] diplomatic [PERIOD]
messy [IMPLY] joyous [PERIOD]
impartial [AND] joyous [AND] innocent [IMPLY] confused [PERIOD]
impartial [AND] hurt [IMPLY] lucky [PERIOD]
joyous [AND] plain [AND] impartial [IMPLY] confused [PERIOD]
fearless [IMPLY] impartial [PERIOD]
confused [AND] hurt [IMPLY] joyous [PERIOD]
hurt [IMPLY] innocent [PERIOD]
fearless [AND] diplomatic [AND] messy [IMPLY] impartial [PERIOD]
joyous [IMPLY] innocent [PERIOD]
innocent [IMPLY] lucky [PERIOD]
diplomatic [AND] innocent [IMPLY] plain [PERIOD]
diplomatic [IMPLY] innocent [PERIOD]
diplomatic [IMPLY] confused [PERIOD]
innocent [AND] hurt [IMPLY] confused [PERIOD]
lucky [IMPLY] messy [PERIOD]
Query: Alice is diplomatic [PERIOD]","Proof chain:
   joyous ⇒ innocent
   innocent ⇒ lucky
   lucky ⇒ messy
   Cannot apply rule “messy ∧ joyous ∧ fearless ⇒ diplomatic” because missing: fearless.
",0,4
"Facts:  Alice is witty [PERIOD] Alice is frightened [PERIOD] Alice is frail [PERIOD] Alice is polite [PERIOD] Alice is glamorous [PERIOD] Alice is elated [PERIOD] Alice is shiny [PERIOD] Alice is joyous [PERIOD] Alice is enchanting [PERIOD] Alice is exuberant [PERIOD] Alice is average [PERIOD] Alice is distinct [PERIOD] Alice is clumsy [PERIOD] Alice is different [PERIOD] Alice is troubled [PERIOD] Alice is attractive [PERIOD]
Rules:
average [IMPLY] enchanting [PERIOD]
elated [AND] curious [AND] troubled [IMPLY] attractive [PERIOD]
glamorous [IMPLY] shiny [PERIOD]
glamorous [IMPLY] agreeable [PERIOD]
distinct [IMPLY] grumpy [PERIOD]
glamorous [AND] average [IMPLY] frail [PERIOD]
frightened [AND] shiny [IMPLY] spotless [PERIOD]
curious [AND] shiny [IMPLY] polite [PERIOD]
elated [AND] witty [IMPLY] shiny [PERIOD]
troubled [IMPLY] distinct [PERIOD]
witty [AND] glamorous [AND] grumpy [IMPLY] agreeable [PERIOD]
curious [IMPLY] glamorous [PERIOD]
witty [AND] elated [IMPLY] average [PERIOD]
attractive [AND] frightened [IMPLY] glamorous [PERIOD]
elated [AND] frightened [IMPLY] average [PERIOD]
frail [AND] troubled [AND] attractive [IMPLY] clumsy [PERIOD]
joyous [AND] frail [IMPLY] different [PERIOD]
troubled [AND] grumpy [IMPLY] glamorous [PERIOD]
curious [IMPLY] polite [PERIOD]
average [AND] agreeable [IMPLY] joyous [PERIOD]
shiny [AND] polite [IMPLY] clumsy [PERIOD]
curious [AND] elated [IMPLY] average [PERIOD]
shiny [IMPLY] joyous [PERIOD]
distinct [AND] attractive [IMPLY] agreeable [PERIOD]
average [AND] distinct [AND] joyous [IMPLY] exuberant [PERIOD]
troubled [AND] different [AND] shiny [IMPLY] witty [PERIOD]
witty [AND] spotless [IMPLY] curious [PERIOD]
enchanting [IMPLY] average [PERIOD]
troubled [IMPLY] grumpy [PERIOD]
frightened [AND] different [AND] grumpy [IMPLY] shiny [PERIOD]
different [AND] distinct [IMPLY] joyous [PERIOD]
elated [IMPLY] glamorous [PERIOD]
troubled [AND] attractive [IMPLY] glamorous [PERIOD]
spotless [AND] enchanting [IMPLY] agreeable [PERIOD]
attractive [AND] enchanting [IMPLY] clumsy [PERIOD]
attractive [IMPLY] troubled [PERIOD]
polite [IMPLY] distinct [PERIOD]
witty [IMPLY] troubled [PERIOD]
exuberant [IMPLY] curious [PERIOD]
agreeable [AND] different [AND] glamorous [IMPLY] troubled [PERIOD]
elated [AND] grumpy [IMPLY] curious [PERIOD]
frail [AND] joyous [IMPLY] polite [PERIOD]
average [AND] curious [IMPLY] troubled [PERIOD]
exuberant [IMPLY] frail [PERIOD]
grumpy [AND] distinct [IMPLY] curious [PERIOD]
spotless [IMPLY] agreeable [PERIOD]
different [AND] frightened [IMPLY] enchanting [PERIOD]
agreeable [IMPLY] grumpy [PERIOD]
attractive [IMPLY] agreeable [PERIOD]
distinct [IMPLY] shiny [PERIOD]
glamorous [AND] enchanting [AND] agreeable [IMPLY] exuberant [PERIOD]
exuberant [AND] clumsy [AND] enchanting [IMPLY] average [PERIOD]
elated [IMPLY] troubled [PERIOD]
curious [AND] enchanting [IMPLY] attractive [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   attractive ⇒ agreeable
",1,1
"Facts:  Alice is outrageous [PERIOD] Alice is anxious [PERIOD] Alice is ugliest [PERIOD] Alice is good [PERIOD]
Rules:
good [IMPLY] attentive [PERIOD]
anxious [IMPLY] ugliest [PERIOD]
frail [AND] anxious [AND] condemned [IMPLY] helpful [PERIOD]
attentive [IMPLY] helpful [PERIOD]
attentive [AND] frail [AND] helpful [IMPLY] condemned [PERIOD]
attentive [AND] supportive [AND] good [IMPLY] frail [PERIOD]
ugliest [AND] frail [IMPLY] helpful [PERIOD]
supportive [AND] good [IMPLY] ugliest [PERIOD]
attentive [AND] ugliest [AND] outrageous [IMPLY] helpful [PERIOD]
frail [IMPLY] outrageous [PERIOD]
good [IMPLY] ugliest [PERIOD]
outrageous [AND] attentive [AND] helpful [IMPLY] anxious [PERIOD]
ugliest [AND] frail [IMPLY] anxious [PERIOD]
frail [AND] condemned [AND] attentive [IMPLY] helpful [PERIOD]
helpful [AND] anxious [AND] frail [IMPLY] good [PERIOD]
helpful [AND] good [IMPLY] frail [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
   good ⇒ attentive
   good ⇒ attentive
   attentive ⇒ helpful
   helpful ∧ good ⇒ frail
   good ⇒ attentive
   attentive ⇒ helpful
   attentive ∧ frail ∧ helpful ⇒ condemned
",1,7
"Facts:  Alice is crowded [PERIOD] Alice is sensible [PERIOD]
Rules:
enchanting [AND] shiny [IMPLY] thoughtful [PERIOD]
fancy [AND] exuberant [IMPLY] dull [PERIOD]
exuberant [IMPLY] shy [PERIOD]
shy [IMPLY] thoughtful [PERIOD]
lucky [IMPLY] sensible [PERIOD]
strange [AND] shy [AND] shiny [IMPLY] exuberant [PERIOD]
sensible [AND] thoughtful [AND] shiny [IMPLY] enchanting [PERIOD]
frail [AND] dull [AND] thoughtful [IMPLY] shiny [PERIOD]
fancy [AND] dull [AND] lucky [IMPLY] crowded [PERIOD]
enchanting [AND] hurt [IMPLY] strange [PERIOD]
shy [IMPLY] hurt [PERIOD]
frail [AND] hilarious [IMPLY] hurt [PERIOD]
spotless [AND] exuberant [IMPLY] impatient [PERIOD]
thoughtful [IMPLY] shy [PERIOD]
spotless [AND] impatient [IMPLY] powerful [PERIOD]
sensible [IMPLY] shiny [PERIOD]
powerful [AND] shiny [IMPLY] dull [PERIOD]
dull [AND] strange [IMPLY] impatient [PERIOD]
impatient [AND] lucky [AND] hurt [IMPLY] exuberant [PERIOD]
crowded [AND] spotless [AND] shiny [IMPLY] hurt [PERIOD]
enchanting [AND] hilarious [AND] crowded [IMPLY] shiny [PERIOD]
crowded [AND] powerful [IMPLY] strange [PERIOD]
dull [AND] powerful [AND] shy [IMPLY] fancy [PERIOD]
spotless [AND] powerful [IMPLY] impatient [PERIOD]
powerful [IMPLY] lucky [PERIOD]
exuberant [AND] lucky [AND] shy [IMPLY] hurt [PERIOD]
thoughtful [AND] dull [AND] strange [IMPLY] hurt [PERIOD]
crowded [AND] fancy [AND] enchanting [IMPLY] powerful [PERIOD]
enchanting [AND] strange [AND] frail [IMPLY] powerful [PERIOD]
frail [AND] crowded [IMPLY] strange [PERIOD]
lucky [IMPLY] hilarious [PERIOD]
strange [AND] exuberant [AND] impatient [IMPLY] shy [PERIOD]
fancy [IMPLY] crowded [PERIOD]
thoughtful [AND] enchanting [AND] sensible [IMPLY] spotless [PERIOD]
frail [AND] enchanting [IMPLY] sensible [PERIOD]
lucky [AND] dull [AND] hurt [IMPLY] exuberant [PERIOD]
spotless [AND] lucky [IMPLY] fancy [PERIOD]
hilarious [AND] thoughtful [AND] strange [IMPLY] hurt [PERIOD]
exuberant [IMPLY] strange [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   Cannot apply rule “shy ⇒ hurt” because missing: shy.
   Cannot apply rule “frail ∧ hilarious ⇒ hurt” because missing: frail, hilarious.
   sensible ⇒ shiny
   Cannot apply rule “crowded ∧ spotless ∧ shiny ⇒ hurt” because missing: spotless.
   Cannot apply rule “exuberant ∧ lucky ∧ shy ⇒ hurt” because missing: exuberant, lucky, shy.
   Cannot apply rule “thoughtful ∧ dull ∧ strange ⇒ hurt” because missing: thoughtful, dull, strange.
   Cannot apply rule “hilarious ∧ thoughtful ∧ strange ⇒ hurt” because missing: hilarious, thoughtful, strange.
",0,7
"Facts: 
Rules:
courageous [IMPLY] frail [PERIOD]
sensible [IMPLY] smart [PERIOD]
thoughtful [AND] shy [IMPLY] broad-minded [PERIOD]
exuberant [AND] enchanting [IMPLY] smart [PERIOD]
pleasant [AND] sensible [IMPLY] adorable [PERIOD]
courageous [IMPLY] different [PERIOD]
tense [AND] shy [AND] distinct [IMPLY] frail [PERIOD]
broad-minded [AND] sensible [IMPLY] smart [PERIOD]
exuberant [IMPLY] pleasant [PERIOD]
pleasant [AND] enchanting [AND] thoughtful [IMPLY] tense [PERIOD]
distinct [IMPLY] sensible [PERIOD]
sensible [AND] adorable [IMPLY] courageous [PERIOD]
frail [AND] shy [IMPLY] distinct [PERIOD]
pleasant [IMPLY] broad-minded [PERIOD]
smart [AND] different [AND] tense [IMPLY] courageous [PERIOD]
tense [AND] smart [IMPLY] shy [PERIOD]
courageous [IMPLY] thoughtful [PERIOD]
tense [AND] different [AND] pleasant [IMPLY] exuberant [PERIOD]
enchanting [IMPLY] exuberant [PERIOD]
pleasant [AND] frail [AND] adorable [IMPLY] sensible [PERIOD]
pleasant [AND] smart [IMPLY] enchanting [PERIOD]
tense [AND] sensible [IMPLY] enchanting [PERIOD]
pleasant [IMPLY] courageous [PERIOD]
adorable [IMPLY] distinct [PERIOD]
enchanting [AND] exuberant [IMPLY] frail [PERIOD]
frail [AND] adorable [IMPLY] enchanting [PERIOD]
enchanting [AND] different [AND] courageous [IMPLY] frail [PERIOD]
thoughtful [AND] pleasant [AND] different [IMPLY] sensible [PERIOD]
enchanting [AND] shy [IMPLY] frail [PERIOD]
smart [AND] tense [AND] pleasant [IMPLY] courageous [PERIOD]
thoughtful [IMPLY] shy [PERIOD]
different [AND] tense [AND] frail [IMPLY] courageous [PERIOD]
smart [AND] frail [AND] exuberant [IMPLY] enchanting [PERIOD]
different [IMPLY] distinct [PERIOD]
sensible [AND] pleasant [AND] exuberant [IMPLY] thoughtful [PERIOD]
shy [AND] different [AND] broad-minded [IMPLY] thoughtful [PERIOD]
distinct [AND] thoughtful [AND] frail [IMPLY] smart [PERIOD]
pleasant [AND] thoughtful [IMPLY] smart [PERIOD]
enchanting [AND] shy [AND] adorable [IMPLY] distinct [PERIOD]
enchanting [AND] courageous [IMPLY] different [PERIOD]
exuberant [IMPLY] distinct [PERIOD]
enchanting [IMPLY] frail [PERIOD]
sensible [IMPLY] shy [PERIOD]
smart [AND] pleasant [IMPLY] distinct [PERIOD]
shy [AND] thoughtful [IMPLY] courageous [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   Cannot apply rule “frail ∧ shy ⇒ distinct” because missing: frail, shy.
   Cannot apply rule “adorable ⇒ distinct” because missing: adorable.
   Cannot apply rule “different ⇒ distinct” because missing: different.
   Cannot apply rule “enchanting ∧ shy ∧ adorable ⇒ distinct” because missing: enchanting, shy, adorable.
   Cannot apply rule “exuberant ⇒ distinct” because missing: exuberant.
   Cannot apply rule “smart ∧ pleasant ⇒ distinct” because missing: smart, pleasant.
",0,6
"Facts:  Alice is hypocritical [PERIOD] Alice is wrong [PERIOD] Alice is beautiful [PERIOD] Alice is tender [PERIOD] Alice is unpleasant [PERIOD] Alice is gleaming [PERIOD] Alice is perfect [PERIOD] Alice is nervous [PERIOD] Alice is joyous [PERIOD] Alice is tired [PERIOD] Alice is condemned [PERIOD]
Rules:
light [AND] wrong [AND] naughty [IMPLY] dishonest [PERIOD]
confident [AND] pleasant [IMPLY] dishonest [PERIOD]
foolish [AND] confident [AND] confused [IMPLY] wrong [PERIOD]
condemned [AND] powerful [IMPLY] wrong [PERIOD]
beautiful [AND] tender [IMPLY] confident [PERIOD]
hypocritical [IMPLY] tense [PERIOD]
beautiful [AND] tender [IMPLY] jittery [PERIOD]
condemned [IMPLY] nervous [PERIOD]
powerful [AND] condemned [AND] tender [IMPLY] silly [PERIOD]
bossy [AND] hypocritical [AND] confused [IMPLY] beautiful [PERIOD]
troubled [IMPLY] wrong [PERIOD]
confused [AND] beautiful [AND] silly [IMPLY] joyous [PERIOD]
perfect [AND] tired [AND] dishonest [IMPLY] beautiful [PERIOD]
silly [IMPLY] jittery [PERIOD]
wrong [AND] joyous [AND] dishonest [IMPLY] troubled [PERIOD]
confused [AND] unpleasant [AND] powerful [IMPLY] tired [PERIOD]
troubled [AND] joyous [AND] beautiful [IMPLY] bossy [PERIOD]
joyous [IMPLY] tender [PERIOD]
joyous [IMPLY] tense [PERIOD]
unpleasant [AND] troubled [AND] anxious [IMPLY] confused [PERIOD]
naughty [AND] dishonest [AND] joyous [IMPLY] fine [PERIOD]
hypocritical [IMPLY] bossy [PERIOD]
fine [AND] wrong [AND] tense [IMPLY] foolish [PERIOD]
tired [IMPLY] nervous [PERIOD]
gleaming [IMPLY] fine [PERIOD]
powerful [AND] foolish [AND] tense [IMPLY] beautiful [PERIOD]
nervous [AND] condemned [AND] tense [IMPLY] light [PERIOD]
unpleasant [AND] pleasant [IMPLY] nervous [PERIOD]
gleaming [IMPLY] foolish [PERIOD]
bossy [AND] unpleasant [IMPLY] light [PERIOD]
wrong [AND] naughty [IMPLY] confident [PERIOD]
tender [IMPLY] pleasant [PERIOD]
confident [IMPLY] foolish [PERIOD]
tired [AND] pleasant [IMPLY] beautiful [PERIOD]
tame [AND] hypocritical [AND] fine [IMPLY] foolish [PERIOD]
confident [AND] condemned [AND] light [IMPLY] joyous [PERIOD]
bossy [AND] tense [IMPLY] wrong [PERIOD]
perfect [AND] unpleasant [AND] fine [IMPLY] wrong [PERIOD]
hypocritical [IMPLY] silly [PERIOD]
anxious [AND] gleaming [AND] beautiful [IMPLY] confused [PERIOD]
condemned [AND] tender [IMPLY] tense [PERIOD]
pleasant [AND] perfect [AND] fine [IMPLY] tame [PERIOD]
tame [AND] confident [AND] foolish [IMPLY] unpleasant [PERIOD]
foolish [AND] silly [IMPLY] confused [PERIOD]
naughty [AND] jittery [AND] tense [IMPLY] dishonest [PERIOD]
naughty [AND] unpleasant [IMPLY] dishonest [PERIOD]
foolish [AND] confident [IMPLY] silly [PERIOD]
condemned [AND] anxious [AND] powerful [IMPLY] bossy [PERIOD]
fine [IMPLY] tired [PERIOD]
jittery [AND] tense [AND] tender [IMPLY] confident [PERIOD]
confident [IMPLY] nervous [PERIOD]
gleaming [AND] pleasant [AND] dishonest [IMPLY] joyous [PERIOD]
condemned [AND] unpleasant [IMPLY] tense [PERIOD]
gleaming [IMPLY] anxious [PERIOD]
joyous [AND] silly [IMPLY] bossy [PERIOD]
troubled [AND] gleaming [AND] perfect [IMPLY] fine [PERIOD]
confused [AND] anxious [AND] pleasant [IMPLY] jittery [PERIOD]
pleasant [AND] silly [IMPLY] troubled [PERIOD]
tame [IMPLY] confused [PERIOD]
unpleasant [AND] perfect [IMPLY] tame [PERIOD]
foolish [IMPLY] condemned [PERIOD]
anxious [IMPLY] nervous [PERIOD]
tender [AND] hypocritical [IMPLY] jittery [PERIOD]
bossy [AND] tense [IMPLY] pleasant [PERIOD]
hypocritical [AND] foolish [AND] pleasant [IMPLY] naughty [PERIOD]
foolish [IMPLY] wrong [PERIOD]
tired [AND] foolish [AND] tense [IMPLY] confused [PERIOD]
condemned [IMPLY] confident [PERIOD]
gleaming [AND] tense [IMPLY] confident [PERIOD]
foolish [AND] jittery [IMPLY] wrong [PERIOD]
confident [AND] gleaming [AND] foolish [IMPLY] troubled [PERIOD]
tired [AND] perfect [AND] pleasant [IMPLY] tame [PERIOD]
condemned [IMPLY] anxious [PERIOD]
naughty [AND] tense [IMPLY] light [PERIOD]
tame [AND] hypocritical [IMPLY] pleasant [PERIOD]
beautiful [AND] nervous [AND] dishonest [IMPLY] joyous [PERIOD]
tame [AND] nervous [AND] wrong [IMPLY] beautiful [PERIOD]
bossy [AND] anxious [AND] hypocritical [IMPLY] tense [PERIOD]
gleaming [AND] dishonest [AND] tense [IMPLY] beautiful [PERIOD]
nervous [IMPLY] dishonest [PERIOD]
dishonest [AND] perfect [AND] silly [IMPLY] hypocritical [PERIOD]
anxious [IMPLY] tense [PERIOD]
pleasant [AND] beautiful [IMPLY] tame [PERIOD]
condemned [AND] anxious [IMPLY] bossy [PERIOD]
bossy [AND] nervous [AND] jittery [IMPLY] tired [PERIOD]
fine [IMPLY] wrong [PERIOD]
foolish [AND] condemned [AND] tired [IMPLY] fine [PERIOD]
tender [IMPLY] fine [PERIOD]
fine [IMPLY] tender [PERIOD]
gleaming [AND] fine [AND] bossy [IMPLY] troubled [PERIOD]
troubled [AND] bossy [AND] foolish [IMPLY] anxious [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   hypocritical ⇒ bossy
",1,1
"Facts:  Alice is sensible [PERIOD] Alice is helpful [PERIOD] Alice is mean [PERIOD] Alice is dishonest [PERIOD] Alice is frightened [PERIOD] Alice is thoughtful [PERIOD] Alice is uptight [PERIOD] Alice is clumsy [PERIOD] Alice is messy [PERIOD]
Rules:
wide-eyed [AND] clumsy [AND] messy [IMPLY] powerful [PERIOD]
pessimistic [IMPLY] helpful [PERIOD]
thoughtful [AND] mysterious [IMPLY] clumsy [PERIOD]
powerful [AND] pleasant [IMPLY] dishonest [PERIOD]
wide-eyed [AND] bad-tempered [AND] mean [IMPLY] thoughtful [PERIOD]
pessimistic [IMPLY] sensible [PERIOD]
uptight [IMPLY] messy [PERIOD]
fine [IMPLY] uptight [PERIOD]
different [AND] frightened [IMPLY] sensible [PERIOD]
sensible [AND] uptight [AND] messy [IMPLY] powerful [PERIOD]
messy [AND] dull [IMPLY] helpful [PERIOD]
sensible [AND] fine [AND] wide-eyed [IMPLY] bad-tempered [PERIOD]
wide-eyed [IMPLY] powerful [PERIOD]
mean [IMPLY] combative [PERIOD]
pleasant [AND] sensible [AND] pessimistic [IMPLY] powerful [PERIOD]
bad-tempered [AND] mean [AND] dull [IMPLY] combative [PERIOD]
fine [AND] bad-tempered [AND] thoughtful [IMPLY] uptight [PERIOD]
mean [IMPLY] pessimistic [PERIOD]
mysterious [AND] uptight [AND] dishonest [IMPLY] different [PERIOD]
pleasant [AND] mean [IMPLY] uptight [PERIOD]
powerful [AND] dull [IMPLY] pleasant [PERIOD]
mysterious [AND] different [AND] clumsy [IMPLY] frightened [PERIOD]
uptight [AND] messy [IMPLY] thoughtful [PERIOD]
mean [AND] dull [IMPLY] sensible [PERIOD]
bad-tempered [IMPLY] dull [PERIOD]
dishonest [IMPLY] frightened [PERIOD]
thoughtful [IMPLY] different [PERIOD]
messy [AND] uptight [AND] wide-eyed [IMPLY] helpful [PERIOD]
powerful [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] fine [PERIOD]
dull [IMPLY] frightened [PERIOD]
dull [AND] messy [IMPLY] frightened [PERIOD]
thoughtful [IMPLY] powerful [PERIOD]
mysterious [AND] pleasant [AND] combative [IMPLY] sensible [PERIOD]
fine [IMPLY] thoughtful [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   thoughtful ⇒ powerful
   thoughtful ⇒ powerful
   powerful ⇒ bad-tempered
   bad-tempered ⇒ dull
   powerful ∧ dull ⇒ pleasant
",1,5
"Facts:  Alice is old-fashioned [PERIOD]
Rules:
helpless [AND] shy [AND] old-fashioned [IMPLY] agreeable [PERIOD]
troubled [AND] jittery [AND] shy [IMPLY] famous [PERIOD]
shy [AND] jittery [IMPLY] famous [PERIOD]
impatient [IMPLY] perfect [PERIOD]
troubled [AND] bad-tempered [AND] famous [IMPLY] jittery [PERIOD]
gorgeous [AND] disobedient [AND] perfect [IMPLY] shy [PERIOD]
agreeable [AND] perfect [AND] helpless [IMPLY] jittery [PERIOD]
bad-tempered [AND] tidy [IMPLY] agreeable [PERIOD]
helpless [AND] disobedient [IMPLY] famous [PERIOD]
frantic [AND] famous [AND] disobedient [IMPLY] impatient [PERIOD]
gorgeous [IMPLY] helpless [PERIOD]
bad-tempered [IMPLY] shy [PERIOD]
famous [AND] agreeable [AND] gorgeous [IMPLY] shy [PERIOD]
anxious [IMPLY] perfect [PERIOD]
impatient [AND] helpless [AND] disobedient [IMPLY] frantic [PERIOD]
helpless [IMPLY] tidy [PERIOD]
impatient [AND] wrong [AND] frantic [IMPLY] shy [PERIOD]
old-fashioned [AND] agreeable [AND] shy [IMPLY] frantic [PERIOD]
bad-tempered [IMPLY] ugliest [PERIOD]
helpless [IMPLY] impatient [PERIOD]
disobedient [AND] perfect [IMPLY] plain [PERIOD]
gorgeous [AND] bad-tempered [AND] old-fashioned [IMPLY] tidy [PERIOD]
jittery [AND] disobedient [AND] anxious [IMPLY] agreeable [PERIOD]
tidy [AND] famous [AND] plain [IMPLY] old-fashioned [PERIOD]
disobedient [AND] wrong [AND] ugliest [IMPLY] jittery [PERIOD]
old-fashioned [AND] frantic [IMPLY] wrong [PERIOD]
famous [AND] jittery [IMPLY] tidy [PERIOD]
gorgeous [AND] impatient [AND] disobedient [IMPLY] frantic [PERIOD]
bad-tempered [AND] helpless [AND] shy [IMPLY] old-fashioned [PERIOD]
agreeable [AND] frantic [IMPLY] old-fashioned [PERIOD]
bad-tempered [AND] tidy [IMPLY] gorgeous [PERIOD]
ugliest [AND] wrong [AND] helpless [IMPLY] famous [PERIOD]
agreeable [AND] plain [IMPLY] jittery [PERIOD]
famous [IMPLY] disobedient [PERIOD]
helpless [AND] plain [IMPLY] tidy [PERIOD]
gorgeous [IMPLY] plain [PERIOD]
old-fashioned [AND] agreeable [AND] plain [IMPLY] tidy [PERIOD]
bad-tempered [AND] famous [AND] old-fashioned [IMPLY] troubled [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “impatient ⇒ perfect” because missing: impatient.
   Cannot apply rule “anxious ⇒ perfect” because missing: anxious.
",0,2
"Facts:  Alice is frightened [PERIOD] Alice is uptight [PERIOD] Alice is victorious [PERIOD] Alice is sensible [PERIOD] Alice is versatile [PERIOD] Alice is agreeable [PERIOD] Alice is talented [PERIOD] Alice is pleasant [PERIOD] Alice is glamorous [PERIOD] Alice is supportive [PERIOD] Alice is selfish [PERIOD] Alice is curious [PERIOD]
Rules:
sensible [AND] blushing [IMPLY] dishonest [PERIOD]
blushing [IMPLY] pleasant [PERIOD]
frightened [AND] glamorous [AND] dishonest [IMPLY] sensible [PERIOD]
pleasant [AND] blushing [IMPLY] wide-eyed [PERIOD]
sensible [IMPLY] perfect [PERIOD]
selfish [AND] wide-eyed [AND] supportive [IMPLY] curious [PERIOD]
victorious [AND] agreeable [AND] uptight [IMPLY] pleasant [PERIOD]
sensible [AND] talented [AND] curious [IMPLY] dishonest [PERIOD]
selfish [AND] curious [AND] wide-eyed [IMPLY] pleasant [PERIOD]
glamorous [AND] selfish [AND] agreeable [IMPLY] elegant [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   Cannot apply rule “pleasant ∧ blushing ⇒ wide-eyed” because missing: blushing.
",0,1
"Facts:  Alice is messy [PERIOD] Alice is zealous [PERIOD]
Rules:
unpleasant [AND] zealous [AND] comfortable [IMPLY] attractive [PERIOD]
curious [AND] zealous [IMPLY] popular [PERIOD]
ambitious [IMPLY] messy [PERIOD]
ambitious [AND] disgusted [IMPLY] zealous [PERIOD]
unpleasant [AND] messy [IMPLY] attractive [PERIOD]
messy [IMPLY] weary [PERIOD]
weary [AND] fine [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] zealous [PERIOD]
good [IMPLY] curious [PERIOD]
unpleasant [AND] curious [AND] zealous [IMPLY] attractive [PERIOD]
comfortable [AND] attractive [AND] ambitious [IMPLY] zealous [PERIOD]
popular [AND] zealous [AND] fine [IMPLY] weary [PERIOD]
attractive [IMPLY] popular [PERIOD]
popular [IMPLY] good [PERIOD]
unpleasant [AND] popular [AND] fine [IMPLY] ambitious [PERIOD]
popular [AND] curious [AND] disgusted [IMPLY] comfortable [PERIOD]
weary [AND] good [AND] ambitious [IMPLY] popular [PERIOD]
unpleasant [AND] weary [AND] fine [IMPLY] messy [PERIOD]
disgusted [AND] comfortable [IMPLY] fine [PERIOD]
disgusted [AND] popular [IMPLY] messy [PERIOD]
disgusted [AND] curious [IMPLY] weary [PERIOD]
good [IMPLY] zealous [PERIOD]
curious [IMPLY] good [PERIOD]
messy [AND] unpleasant [AND] attractive [IMPLY] ambitious [PERIOD]
weary [IMPLY] good [PERIOD]
good [AND] disgusted [IMPLY] comfortable [PERIOD]
curious [IMPLY] popular [PERIOD]
messy [AND] good [IMPLY] popular [PERIOD]
disgusted [IMPLY] ambitious [PERIOD]
attractive [IMPLY] weary [PERIOD]
popular [IMPLY] curious [PERIOD]
curious [IMPLY] comfortable [PERIOD]
messy [IMPLY] attractive [PERIOD]
messy [AND] unpleasant [AND] ambitious [IMPLY] fine [PERIOD]
messy [AND] zealous [IMPLY] unpleasant [PERIOD]
zealous [IMPLY] popular [PERIOD]
curious [AND] zealous [AND] messy [IMPLY] popular [PERIOD]
popular [AND] messy [AND] good [IMPLY] ambitious [PERIOD]
messy [AND] weary [IMPLY] disgusted [PERIOD]
ambitious [AND] curious [AND] weary [IMPLY] attractive [PERIOD]
messy [AND] disgusted [IMPLY] fine [PERIOD]
messy [AND] unpleasant [AND] zealous [IMPLY] good [PERIOD]
attractive [AND] comfortable [IMPLY] disgusted [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   zealous ⇒ popular
   popular ⇒ curious
   curious ⇒ comfortable
",1,3
"Facts:  Alice is beautiful [PERIOD] Alice is cute [PERIOD] Alice is muddy [PERIOD]
Rules:
cute [AND] muddy [AND] anxious [IMPLY] impatient [PERIOD]
impatient [AND] beautiful [AND] muddy [IMPLY] anxious [PERIOD]
cute [IMPLY] impatient [PERIOD]
anxious [AND] beautiful [AND] cute [IMPLY] muddy [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   cute ⇒ impatient
   impatient ∧ beautiful ∧ muddy ⇒ anxious
",1,2
"Facts:  Alice is naughty [PERIOD] Alice is rude [PERIOD] Alice is weary [PERIOD] Alice is quaint [PERIOD] Alice is wrong [PERIOD] Alice is tame [PERIOD] Alice is sincere [PERIOD] Alice is dull [PERIOD] Alice is cooperative [PERIOD] Alice is fragile [PERIOD] Alice is proud [PERIOD] Alice is charming [PERIOD] Alice is frantic [PERIOD] Alice is plain [PERIOD] Alice is rational [PERIOD]
Rules:
wrong [IMPLY] naughty [PERIOD]
cooperative [AND] bad-tempered [AND] homely [IMPLY] charming [PERIOD]
wrong [AND] quaint [IMPLY] proud [PERIOD]
charming [AND] sincere [IMPLY] frantic [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
outrageous [AND] fancy [IMPLY] easy [PERIOD]
fancy [AND] uptight [IMPLY] easy [PERIOD]
easy [AND] cruel [AND] helpful [IMPLY] uptight [PERIOD]
fancy [AND] bad-tempered [IMPLY] bored [PERIOD]
wide-eyed [IMPLY] nervous [PERIOD]
aggressive [IMPLY] bored [PERIOD]
long [IMPLY] bored [PERIOD]
nervous [AND] long [IMPLY] bored [PERIOD]
busy [AND] outrageous [AND] fancy [IMPLY] attractive [PERIOD]
fancy [IMPLY] attractive [PERIOD]
outrageous [IMPLY] attractive [PERIOD]
wide-eyed [IMPLY] busy [PERIOD]
bored [IMPLY] uptight [PERIOD]
bored [AND] busy [IMPLY] helpful [PERIOD]
fancy [AND] outrageous [AND] attractive [IMPLY] helpful [PERIOD]
bad-tempered [AND] uptight [IMPLY] nervous [PERIOD]
aggressive [IMPLY] easy [PERIOD]
outrageous [IMPLY] busy [PERIOD]
bad-tempered [AND] cruel [AND] bored [IMPLY] easy [PERIOD]
helpful [AND] attractive [IMPLY] bored [PERIOD]
busy [AND] bad-tempered [AND] nervous [IMPLY] bored [PERIOD]
outrageous [AND] long [AND] easy [IMPLY] busy [PERIOD]
helpful [AND] bored [IMPLY] easy [PERIOD]
bored [AND] helpful [IMPLY] long [PERIOD]
helpful [AND] cruel [AND] aggressive [IMPLY] attractive [PERIOD]
cruel [IMPLY] bored [PERIOD]
aggressive [AND] outrageous [IMPLY] helpful [PERIOD]
nervous [AND] easy [AND] wide-eyed [IMPLY] outrageous [PERIOD]
long [AND] outrageous [IMPLY] helpful [PERIOD]
nervous [AND] bad-tempered [IMPLY] helpful [PERIOD]
uptight [AND] outrageous [IMPLY] attractive [PERIOD]
nervous [AND] outrageous [AND] cruel [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] cruel [AND] fancy [IMPLY] busy [PERIOD]
busy [IMPLY] fancy [PERIOD]
nervous [IMPLY] uptight [PERIOD]
wide-eyed [AND] busy [IMPLY] bad-tempered [PERIOD]
cruel [IMPLY] helpful [PERIOD]
aggressive [IMPLY] outrageous [PERIOD]
uptight [IMPLY] aggressive [PERIOD]
long [AND] cruel [AND] fancy [IMPLY] nervous [PERIOD]
busy [IMPLY] bored [PERIOD]
busy [AND] uptight [AND] bored [IMPLY] helpful [PERIOD]
helpful [AND] cruel [IMPLY] fancy [PERIOD]
aggressive [IMPLY] attractive [PERIOD]
outrageous [AND] fancy [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] helpful [AND] attractive [IMPLY] aggressive [PERIOD]
nervous [AND] uptight [AND] helpful [IMPLY] bad-tempered [PERIOD]
nervous [IMPLY] helpful [PERIOD]
nervous [AND] outrageous [IMPLY] wide-eyed [PERIOD]
fancy [AND] helpful [IMPLY] easy [PERIOD]
fancy [IMPLY] nervous [PERIOD]
bad-tempered [IMPLY] nervous [PERIOD]
outrageous [AND] busy [IMPLY] long [PERIOD]
nervous [AND] aggressive [AND] bad-tempered [IMPLY] outrageous [PERIOD]
attractive [AND] cruel [AND] aggressive [IMPLY] bad-tempered [PERIOD]
fancy [IMPLY] outrageous [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   Cannot apply rule “busy ∧ outrageous ∧ fancy ⇒ attractive” because missing: busy, outrageous, fancy.
   Cannot apply rule “fancy ⇒ attractive” because missing: fancy.
   Cannot apply rule “outrageous ⇒ attractive” because missing: outrageous.
   Cannot apply rule “helpful ∧ cruel ∧ aggressive ⇒ attractive” because missing: helpful, cruel, aggressive.
   Cannot apply rule “uptight ∧ outrageous ⇒ attractive” because missing: uptight, outrageous.
   Cannot apply rule “aggressive ⇒ attractive” because missing: aggressive.
",0,6
"Facts:  Alice is helpless [PERIOD] Alice is exuberant [PERIOD] Alice is quaint [PERIOD]
Rules:
disgusted [AND] silly [AND] courageous [IMPLY] polite [PERIOD]
popular [AND] quaint [IMPLY] mysterious [PERIOD]
difficult [IMPLY] thoughtless [PERIOD]
alert [AND] thoughtful [AND] tired [IMPLY] strange [PERIOD]
exuberant [AND] alert [IMPLY] calm [PERIOD]
mysterious [AND] courageous [AND] thoughtful [IMPLY] loving [PERIOD]
amused [IMPLY] loving [PERIOD]
alert [AND] loving [IMPLY] quaint [PERIOD]
courageous [IMPLY] strange [PERIOD]
helpless [AND] disgusted [IMPLY] plain [PERIOD]
exuberant [AND] friendly [IMPLY] strange [PERIOD]
difficult [AND] friendly [AND] amused [IMPLY] plain [PERIOD]
different [AND] hilarious [AND] alert [IMPLY] glamorous [PERIOD]
thoughtful [AND] quaint [IMPLY] friendly [PERIOD]
tired [IMPLY] quaint [PERIOD]
loving [AND] bright [AND] innocent [IMPLY] friendly [PERIOD]
alert [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] friendly [PERIOD]
strange [AND] amused [AND] glamorous [IMPLY] exuberant [PERIOD]
different [IMPLY] mysterious [PERIOD]
plain [AND] polite [IMPLY] friendly [PERIOD]
silly [IMPLY] different [PERIOD]
helpless [AND] tired [AND] thoughtless [IMPLY] bright [PERIOD]
loving [AND] friendly [AND] plain [IMPLY] tired [PERIOD]
popular [AND] innocent [IMPLY] helpless [PERIOD]
tired [IMPLY] thoughtful [PERIOD]
exuberant [AND] quaint [IMPLY] strange [PERIOD]
difficult [AND] exuberant [AND] amused [IMPLY] alert [PERIOD]
innocent [AND] loving [AND] bright [IMPLY] thoughtless [PERIOD]
plain [AND] strange [AND] helpless [IMPLY] courageous [PERIOD]
thoughtful [AND] alert [AND] thoughtless [IMPLY] hilarious [PERIOD]
helpless [IMPLY] hilarious [PERIOD]
thoughtless [AND] plain [IMPLY] exuberant [PERIOD]
helpless [AND] straightforward [IMPLY] strange [PERIOD]
silly [AND] courageous [IMPLY] polite [PERIOD]
popular [AND] different [AND] loving [IMPLY] thoughtless [PERIOD]
plain [AND] thoughtful [AND] bright [IMPLY] mysterious [PERIOD]
plain [AND] quaint [AND] bright [IMPLY] friendly [PERIOD]
straightforward [IMPLY] friendly [PERIOD]
loving [AND] friendly [AND] calm [IMPLY] silly [PERIOD]
polite [AND] strange [IMPLY] silly [PERIOD]
exuberant [AND] tired [AND] straightforward [IMPLY] alert [PERIOD]
tired [AND] thoughtful [IMPLY] alert [PERIOD]
innocent [AND] exuberant [AND] friendly [IMPLY] bright [PERIOD]
friendly [AND] popular [IMPLY] helpless [PERIOD]
tired [AND] popular [IMPLY] loving [PERIOD]
courageous [AND] quaint [AND] silly [IMPLY] plain [PERIOD]
silly [AND] bright [IMPLY] loving [PERIOD]
straightforward [AND] popular [IMPLY] exuberant [PERIOD]
courageous [IMPLY] disgusted [PERIOD]
thoughtful [AND] amused [AND] friendly [IMPLY] different [PERIOD]
friendly [IMPLY] difficult [PERIOD]
amused [AND] polite [IMPLY] glamorous [PERIOD]
hilarious [AND] thoughtless [IMPLY] exuberant [PERIOD]
quaint [IMPLY] friendly [PERIOD]
strange [AND] quaint [AND] friendly [IMPLY] exuberant [PERIOD]
popular [AND] alert [AND] amused [IMPLY] friendly [PERIOD]
amused [AND] thoughtful [AND] popular [IMPLY] silly [PERIOD]
plain [AND] helpless [AND] calm [IMPLY] alert [PERIOD]
quaint [AND] helpless [AND] straightforward [IMPLY] friendly [PERIOD]
courageous [IMPLY] helpless [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   quaint ⇒ friendly
   Cannot apply rule “loving ∧ friendly ∧ calm ⇒ silly” because missing: loving, calm.
   exuberant ∧ quaint ⇒ strange
   Cannot apply rule “polite ∧ strange ⇒ silly” because missing: polite.
   Cannot apply rule “amused ∧ thoughtful ∧ popular ⇒ silly” because missing: amused, thoughtful, popular.
",0,5
"Facts:  Alice is mysterious [PERIOD] Alice is selfish [PERIOD] Alice is smart [PERIOD] Alice is straightforward [PERIOD] Alice is anxious [PERIOD] Alice is strange [PERIOD]
Rules:
fragile [AND] tidy [IMPLY] silly [PERIOD]
elated [AND] strange [IMPLY] mysterious [PERIOD]
wide-eyed [IMPLY] elated [PERIOD]
plain [AND] gleaming [AND] selfish [IMPLY] frail [PERIOD]
sincere [AND] selfish [AND] tidy [IMPLY] wrong [PERIOD]
inquisitive [AND] condemned [AND] sincere [IMPLY] plain [PERIOD]
silly [IMPLY] strange [PERIOD]
mysterious [IMPLY] spotless [PERIOD]
wide-eyed [AND] selfish [IMPLY] condemned [PERIOD]
inexpensive [IMPLY] sensible [PERIOD]
strange [AND] tame [AND] dull [IMPLY] straightforward [PERIOD]
spotless [AND] sensible [AND] dull [IMPLY] tame [PERIOD]
dull [AND] wide-eyed [AND] wrong [IMPLY] frail [PERIOD]
selfish [IMPLY] silly [PERIOD]
strange [AND] comfortable [AND] elated [IMPLY] wide-eyed [PERIOD]
comfortable [IMPLY] inquisitive [PERIOD]
mysterious [AND] inexpensive [AND] amused [IMPLY] elated [PERIOD]
tame [IMPLY] strange [PERIOD]
plain [AND] strange [AND] wrong [IMPLY] smart [PERIOD]
anxious [AND] sensible [IMPLY] comfortable [PERIOD]
calm [AND] smart [IMPLY] frail [PERIOD]
sensible [AND] selfish [AND] tame [IMPLY] wide-eyed [PERIOD]
straightforward [AND] wrong [AND] sincere [IMPLY] tidy [PERIOD]
amused [IMPLY] anxious [PERIOD]
dull [AND] selfish [AND] anxious [IMPLY] comfortable [PERIOD]
tame [AND] inexpensive [IMPLY] silly [PERIOD]
strange [AND] wrong [AND] smart [IMPLY] calm [PERIOD]
sincere [IMPLY] mysterious [PERIOD]
straightforward [AND] amused [AND] anxious [IMPLY] mysterious [PERIOD]
wrong [AND] calm [AND] tidy [IMPLY] fragile [PERIOD]
dull [AND] mysterious [AND] elated [IMPLY] sensible [PERIOD]
frail [AND] elated [IMPLY] mysterious [PERIOD]
wrong [AND] fragile [AND] straightforward [IMPLY] anxious [PERIOD]
selfish [AND] sensible [IMPLY] silly [PERIOD]
mysterious [AND] sensible [AND] anxious [IMPLY] strange [PERIOD]
wrong [IMPLY] gleaming [PERIOD]
sensible [AND] wide-eyed [AND] elated [IMPLY] anxious [PERIOD]
amused [AND] silly [IMPLY] fragile [PERIOD]
condemned [AND] tidy [AND] silly [IMPLY] frail [PERIOD]
calm [AND] wide-eyed [IMPLY] frail [PERIOD]
inquisitive [IMPLY] sincere [PERIOD]
plain [IMPLY] calm [PERIOD]
wrong [AND] condemned [IMPLY] frail [PERIOD]
frail [AND] straightforward [IMPLY] gleaming [PERIOD]
inexpensive [IMPLY] mysterious [PERIOD]
mysterious [AND] tidy [AND] elated [IMPLY] selfish [PERIOD]
selfish [AND] inexpensive [AND] condemned [IMPLY] amused [PERIOD]
spotless [AND] inquisitive [AND] fragile [IMPLY] strange [PERIOD]
inquisitive [AND] amused [AND] spotless [IMPLY] wrong [PERIOD]
strange [IMPLY] spotless [PERIOD]
comfortable [IMPLY] inexpensive [PERIOD]
plain [IMPLY] tame [PERIOD]
anxious [AND] wrong [AND] fragile [IMPLY] tidy [PERIOD]
straightforward [AND] sincere [IMPLY] smart [PERIOD]
silly [AND] fragile [IMPLY] wide-eyed [PERIOD]
selfish [IMPLY] amused [PERIOD]
anxious [AND] dull [IMPLY] frail [PERIOD]
smart [AND] straightforward [IMPLY] frail [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   selfish ⇒ silly
   selfish ⇒ amused
   selfish ⇒ silly
   amused ∧ silly ⇒ fragile
   silly ∧ fragile ⇒ wide-eyed
   wide-eyed ∧ selfish ⇒ condemned
   Cannot apply rule “inquisitive ∧ condemned ∧ sincere ⇒ plain” because missing: inquisitive, sincere.
",0,7
"Facts:  Alice is clean [PERIOD] Alice is talkative [PERIOD] Alice is wide-eyed [PERIOD] Alice is courageous [PERIOD]
Rules:
wide-eyed [AND] enchanting [AND] pleasant [IMPLY] fine [PERIOD]
worried [AND] wide-eyed [IMPLY] fine [PERIOD]
pleasant [IMPLY] charming [PERIOD]
clean [AND] zealous [AND] fine [IMPLY] worried [PERIOD]
pessimistic [IMPLY] enchanting [PERIOD]
powerful [AND] pleasant [AND] enchanting [IMPLY] crowded [PERIOD]
pessimistic [AND] worried [AND] crowded [IMPLY] fine [PERIOD]
talkative [IMPLY] fine [PERIOD]
wide-eyed [AND] frail [AND] courageous [IMPLY] zealous [PERIOD]
pleasant [AND] crowded [IMPLY] charming [PERIOD]
wide-eyed [AND] enchanting [AND] frail [IMPLY] zealous [PERIOD]
courageous [IMPLY] clean [PERIOD]
wide-eyed [IMPLY] fine [PERIOD]
charming [IMPLY] enchanting [PERIOD]
wide-eyed [AND] pleasant [IMPLY] clean [PERIOD]
crowded [AND] charming [AND] sensible [IMPLY] fine [PERIOD]
powerful [AND] charming [IMPLY] talkative [PERIOD]
zealous [AND] charming [AND] worried [IMPLY] frail [PERIOD]
charming [AND] talkative [IMPLY] courageous [PERIOD]
fine [AND] talkative [IMPLY] lonely [PERIOD]
pessimistic [IMPLY] fine [PERIOD]
worried [AND] pleasant [IMPLY] sensible [PERIOD]
lonely [AND] wide-eyed [AND] clean [IMPLY] powerful [PERIOD]
worried [IMPLY] talkative [PERIOD]
courageous [IMPLY] zealous [PERIOD]
worried [AND] charming [AND] sensible [IMPLY] courageous [PERIOD]
talkative [IMPLY] clean [PERIOD]
frail [AND] powerful [IMPLY] courageous [PERIOD]
enchanting [IMPLY] powerful [PERIOD]
clean [AND] sensible [AND] charming [IMPLY] wide-eyed [PERIOD]
sensible [IMPLY] crowded [PERIOD]
powerful [AND] zealous [AND] enchanting [IMPLY] courageous [PERIOD]
enchanting [AND] worried [AND] pleasant [IMPLY] sensible [PERIOD]
crowded [AND] wide-eyed [AND] pleasant [IMPLY] clean [PERIOD]
wide-eyed [AND] crowded [AND] lonely [IMPLY] courageous [PERIOD]
sensible [IMPLY] courageous [PERIOD]
talkative [AND] pessimistic [IMPLY] sensible [PERIOD]
clean [AND] crowded [IMPLY] charming [PERIOD]
pessimistic [AND] lonely [AND] worried [IMPLY] powerful [PERIOD]
worried [AND] frail [IMPLY] charming [PERIOD]
courageous [IMPLY] pleasant [PERIOD]
fine [AND] enchanting [IMPLY] frail [PERIOD]
talkative [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] powerful [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   courageous ⇒ zealous
   talkative ⇒ fine
   clean ∧ zealous ∧ fine ⇒ worried
   courageous ⇒ pleasant
   worried ∧ pleasant ⇒ sensible
",1,5
"Facts:  Alice is glamorous [PERIOD] Alice is popular [PERIOD] Alice is horrible [PERIOD] Alice is bored [PERIOD] Alice is diplomatic [PERIOD]
Rules:
frightened [IMPLY] bored [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
   No rule concludes “frightened.”
",0,1
"Facts:  Alice is uptight [PERIOD] Alice is tame [PERIOD] Alice is wrong [PERIOD]
Rules:
impartial [IMPLY] easy [PERIOD]
attentive [AND] thoughtless [IMPLY] uptight [PERIOD]
beautiful [IMPLY] charming [PERIOD]
selfish [AND] thoughtless [AND] agreeable [IMPLY] uptight [PERIOD]
charming [AND] condemned [IMPLY] thoughtless [PERIOD]
bored [AND] wrong [AND] easy [IMPLY] fancy [PERIOD]
mean [AND] inquisitive [AND] bored [IMPLY] exuberant [PERIOD]
fancy [AND] agreeable [IMPLY] attentive [PERIOD]
easy [AND] agreeable [IMPLY] horrible [PERIOD]
uptight [AND] tame [IMPLY] wrong [PERIOD]
adorable [AND] bored [AND] inquisitive [IMPLY] straightforward [PERIOD]
exuberant [IMPLY] easy [PERIOD]
selfish [IMPLY] thoughtless [PERIOD]
attentive [IMPLY] mean [PERIOD]
uptight [AND] elegant [AND] adorable [IMPLY] mean [PERIOD]
inexpensive [AND] difficult [AND] agreeable [IMPLY] easy [PERIOD]
exuberant [AND] ambitious [IMPLY] beautiful [PERIOD]
thoughtless [AND] bored [IMPLY] inquisitive [PERIOD]
condemned [IMPLY] straightforward [PERIOD]
inquisitive [AND] difficult [AND] agreeable [IMPLY] condemned [PERIOD]
difficult [IMPLY] adorable [PERIOD]
lonely [IMPLY] thoughtless [PERIOD]
agreeable [AND] mean [IMPLY] difficult [PERIOD]
thoughtless [AND] straightforward [IMPLY] fancy [PERIOD]
bad-tempered [AND] exuberant [AND] inquisitive [IMPLY] selfish [PERIOD]
beautiful [AND] lonely [IMPLY] fancy [PERIOD]
exuberant [IMPLY] selfish [PERIOD]
impartial [IMPLY] inquisitive [PERIOD]
agreeable [AND] mean [AND] inexpensive [IMPLY] elegant [PERIOD]
horrible [IMPLY] inquisitive [PERIOD]
thoughtless [AND] charming [IMPLY] horrible [PERIOD]
elegant [AND] bored [AND] beautiful [IMPLY] difficult [PERIOD]
inexpensive [IMPLY] bad-tempered [PERIOD]
exuberant [AND] beautiful [AND] inexpensive [IMPLY] thoughtless [PERIOD]
bad-tempered [AND] uptight [AND] tame [IMPLY] elegant [PERIOD]
impartial [AND] wrong [AND] agreeable [IMPLY] beautiful [PERIOD]
attentive [AND] tame [IMPLY] thoughtless [PERIOD]
condemned [AND] uptight [IMPLY] inexpensive [PERIOD]
attentive [AND] inexpensive [AND] inquisitive [IMPLY] charming [PERIOD]
tame [AND] straightforward [AND] adorable [IMPLY] condemned [PERIOD]
condemned [AND] exuberant [IMPLY] lonely [PERIOD]
charming [AND] difficult [AND] easy [IMPLY] straightforward [PERIOD]
wrong [AND] inquisitive [IMPLY] charming [PERIOD]
ambitious [IMPLY] difficult [PERIOD]
thoughtless [IMPLY] horrible [PERIOD]
straightforward [AND] difficult [AND] lonely [IMPLY] agreeable [PERIOD]
wrong [IMPLY] fancy [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   Cannot apply rule “easy ∧ agreeable ⇒ horrible” because missing: easy, agreeable.
   Cannot apply rule “thoughtless ∧ charming ⇒ horrible” because missing: thoughtless, charming.
   Cannot apply rule “thoughtless ⇒ horrible” because missing: thoughtless.
",0,3
"Facts:  Alice is bad-tempered [PERIOD] Alice is condemned [PERIOD] Alice is foolish [PERIOD] Alice is rational [PERIOD] Alice is aggressive [PERIOD] Alice is good [PERIOD] Alice is sensible [PERIOD] Alice is popular [PERIOD] Alice is loving [PERIOD] Alice is talkative [PERIOD] Alice is tame [PERIOD] Alice is combative [PERIOD] Alice is blushing [PERIOD] Alice is worrisome [PERIOD] Alice is calm [PERIOD] Alice is gleaming [PERIOD] Alice is amused [PERIOD] Alice is mysterious [PERIOD]
Rules:
calm [AND] rational [IMPLY] combative [PERIOD]
gleaming [IMPLY] bad-tempered [PERIOD]
impartial [AND] blushing [AND] rational [IMPLY] talkative [PERIOD]
popular [AND] bad-tempered [IMPLY] impartial [PERIOD]
calm [IMPLY] tame [PERIOD]
mysterious [AND] impartial [IMPLY] blushing [PERIOD]
condemned [IMPLY] rational [PERIOD]
amused [AND] talkative [AND] worrisome [IMPLY] combative [PERIOD]
foolish [AND] calm [AND] mysterious [IMPLY] impartial [PERIOD]
rational [IMPLY] aggressive [PERIOD]
bad-tempered [IMPLY] sensible [PERIOD]
good [AND] tame [IMPLY] combative [PERIOD]
mysterious [IMPLY] worrisome [PERIOD]
gleaming [AND] tame [IMPLY] combative [PERIOD]
talkative [IMPLY] impartial [PERIOD]
tame [IMPLY] modern [PERIOD]
popular [AND] gleaming [IMPLY] bad-tempered [PERIOD]
worrisome [IMPLY] sensible [PERIOD]
rational [AND] combative [AND] modern [IMPLY] good [PERIOD]
amused [IMPLY] tame [PERIOD]
loving [AND] impartial [AND] broad-minded [IMPLY] popular [PERIOD]
popular [AND] blushing [IMPLY] loving [PERIOD]
popular [AND] sensible [IMPLY] good [PERIOD]
bad-tempered [AND] popular [AND] broad-minded [IMPLY] rational [PERIOD]
tame [AND] good [IMPLY] modern [PERIOD]
impartial [AND] gleaming [IMPLY] bad-tempered [PERIOD]
loving [IMPLY] rational [PERIOD]
good [IMPLY] foolish [PERIOD]
popular [AND] worrisome [AND] loving [IMPLY] impartial [PERIOD]
good [AND] calm [IMPLY] combative [PERIOD]
tame [AND] blushing [IMPLY] amused [PERIOD]
impartial [AND] worrisome [AND] calm [IMPLY] foolish [PERIOD]
sensible [AND] talkative [IMPLY] condemned [PERIOD]
gleaming [AND] blushing [AND] mysterious [IMPLY] foolish [PERIOD]
modern [AND] aggressive [IMPLY] sensible [PERIOD]
broad-minded [AND] impartial [IMPLY] combative [PERIOD]
rational [AND] impartial [IMPLY] good [PERIOD]
aggressive [IMPLY] modern [PERIOD]
modern [AND] impartial [IMPLY] condemned [PERIOD]
amused [IMPLY] gleaming [PERIOD]
condemned [AND] good [AND] amused [IMPLY] rational [PERIOD]
sensible [AND] modern [AND] bad-tempered [IMPLY] talkative [PERIOD]
sensible [IMPLY] aggressive [PERIOD]
loving [AND] tame [AND] foolish [IMPLY] good [PERIOD]
talkative [AND] sensible [IMPLY] calm [PERIOD]
blushing [AND] broad-minded [AND] aggressive [IMPLY] sensible [PERIOD]
rational [IMPLY] talkative [PERIOD]
mysterious [AND] blushing [AND] impartial [IMPLY] loving [PERIOD]
foolish [IMPLY] modern [PERIOD]
worrisome [IMPLY] bad-tempered [PERIOD]
gleaming [IMPLY] loving [PERIOD]
bad-tempered [IMPLY] loving [PERIOD]
popular [AND] rational [AND] calm [IMPLY] good [PERIOD]
popular [AND] gleaming [IMPLY] amused [PERIOD]
blushing [IMPLY] gleaming [PERIOD]
foolish [AND] impartial [IMPLY] tame [PERIOD]
blushing [AND] calm [AND] bad-tempered [IMPLY] mysterious [PERIOD]
blushing [AND] good [AND] aggressive [IMPLY] combative [PERIOD]
sensible [AND] modern [IMPLY] gleaming [PERIOD]
blushing [AND] calm [AND] mysterious [IMPLY] condemned [PERIOD]
combative [AND] aggressive [AND] foolish [IMPLY] tame [PERIOD]
popular [AND] amused [IMPLY] condemned [PERIOD]
tame [AND] good [AND] amused [IMPLY] rational [PERIOD]
good [AND] bad-tempered [AND] broad-minded [IMPLY] amused [PERIOD]
broad-minded [IMPLY] mysterious [PERIOD]
popular [AND] worrisome [IMPLY] rational [PERIOD]
amused [AND] talkative [AND] gleaming [IMPLY] rational [PERIOD]
sensible [AND] good [AND] calm [IMPLY] amused [PERIOD]
good [IMPLY] modern [PERIOD]
talkative [AND] condemned [AND] blushing [IMPLY] bad-tempered [PERIOD]
broad-minded [AND] rational [AND] amused [IMPLY] bad-tempered [PERIOD]
amused [AND] sensible [AND] aggressive [IMPLY] combative [PERIOD]
foolish [AND] popular [IMPLY] gleaming [PERIOD]
worrisome [AND] combative [AND] modern [IMPLY] calm [PERIOD]
calm [IMPLY] gleaming [PERIOD]
mysterious [AND] talkative [AND] rational [IMPLY] calm [PERIOD]
modern [IMPLY] rational [PERIOD]
broad-minded [AND] impartial [AND] sensible [IMPLY] calm [PERIOD]
popular [IMPLY] impartial [PERIOD]
impartial [AND] blushing [AND] mysterious [IMPLY] rational [PERIOD]
talkative [AND] worrisome [IMPLY] foolish [PERIOD]
tame [AND] loving [AND] amused [IMPLY] talkative [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is hilarious [PERIOD] Alice is ambitious [PERIOD]
Rules:
joyous [AND] troubled [AND] blushing [IMPLY] hilarious [PERIOD]
difficult [AND] blushing [IMPLY] famous [PERIOD]
aggressive [AND] tired [IMPLY] famous [PERIOD]
talented [AND] helpless [AND] difficult [IMPLY] joyous [PERIOD]
difficult [IMPLY] joyous [PERIOD]
busy [IMPLY] rational [PERIOD]
worrisome [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] grumpy [PERIOD]
spotless [AND] hilarious [AND] bad-tempered [IMPLY] beautiful [PERIOD]
difficult [AND] grumpy [IMPLY] hilarious [PERIOD]
blushing [AND] beautiful [IMPLY] busy [PERIOD]
bad-tempered [IMPLY] comfortable [PERIOD]
fancy [AND] beautiful [AND] troubled [IMPLY] helpless [PERIOD]
joyous [AND] grumpy [IMPLY] comfortable [PERIOD]
famous [IMPLY] grumpy [PERIOD]
beautiful [IMPLY] rational [PERIOD]
stupid [IMPLY] busy [PERIOD]
busy [IMPLY] troubled [PERIOD]
beautiful [AND] talented [IMPLY] difficult [PERIOD]
busy [AND] famous [AND] worrisome [IMPLY] spotless [PERIOD]
spotless [IMPLY] busy [PERIOD]
helpless [IMPLY] difficult [PERIOD]
helpless [AND] beautiful [AND] grumpy [IMPLY] comfortable [PERIOD]
bad-tempered [IMPLY] glamorous [PERIOD]
worrisome [AND] jittery [IMPLY] tired [PERIOD]
talented [AND] stupid [IMPLY] tired [PERIOD]
comfortable [AND] difficult [IMPLY] ambitious [PERIOD]
stupid [AND] spotless [AND] glamorous [IMPLY] helpless [PERIOD]
tired [IMPLY] jittery [PERIOD]
ambitious [AND] joyous [AND] rational [IMPLY] talented [PERIOD]
grumpy [IMPLY] hilarious [PERIOD]
comfortable [AND] spotless [AND] joyous [IMPLY] grumpy [PERIOD]
tired [IMPLY] beautiful [PERIOD]
aggressive [AND] busy [IMPLY] grumpy [PERIOD]
hilarious [AND] aggressive [IMPLY] talented [PERIOD]
talented [AND] grumpy [AND] helpless [IMPLY] ambitious [PERIOD]
grumpy [IMPLY] fancy [PERIOD]
troubled [AND] tired [IMPLY] joyous [PERIOD]
famous [AND] helpless [AND] troubled [IMPLY] worrisome [PERIOD]
beautiful [AND] joyous [AND] grumpy [IMPLY] famous [PERIOD]
difficult [AND] busy [IMPLY] grumpy [PERIOD]
fancy [AND] famous [AND] helpless [IMPLY] hilarious [PERIOD]
busy [AND] jittery [AND] ambitious [IMPLY] troubled [PERIOD]
helpless [AND] tired [AND] troubled [IMPLY] rational [PERIOD]
comfortable [AND] troubled [IMPLY] tired [PERIOD]
talented [AND] ambitious [AND] famous [IMPLY] busy [PERIOD]
blushing [AND] grumpy [IMPLY] spotless [PERIOD]
joyous [AND] busy [AND] rational [IMPLY] glamorous [PERIOD]
stupid [AND] talented [IMPLY] joyous [PERIOD]
glamorous [AND] aggressive [AND] busy [IMPLY] blushing [PERIOD]
fancy [IMPLY] grumpy [PERIOD]
joyous [AND] stupid [AND] famous [IMPLY] beautiful [PERIOD]
busy [IMPLY] glamorous [PERIOD]
worrisome [IMPLY] difficult [PERIOD]
rational [IMPLY] famous [PERIOD]
spotless [AND] hilarious [AND] joyous [IMPLY] comfortable [PERIOD]
spotless [AND] bad-tempered [AND] fancy [IMPLY] difficult [PERIOD]
helpless [AND] fancy [AND] jittery [IMPLY] worrisome [PERIOD]
difficult [IMPLY] helpless [PERIOD]
ambitious [IMPLY] bad-tempered [PERIOD]
stupid [AND] grumpy [AND] worrisome [IMPLY] beautiful [PERIOD]
grumpy [AND] rational [IMPLY] aggressive [PERIOD]
busy [AND] famous [IMPLY] rational [PERIOD]
grumpy [AND] joyous [IMPLY] hilarious [PERIOD]
helpless [AND] stupid [AND] rational [IMPLY] talented [PERIOD]
spotless [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] beautiful [PERIOD]
difficult [AND] rational [IMPLY] ambitious [PERIOD]
stupid [AND] joyous [IMPLY] grumpy [PERIOD]
joyous [AND] glamorous [AND] busy [IMPLY] comfortable [PERIOD]
difficult [AND] bad-tempered [AND] spotless [IMPLY] busy [PERIOD]
tired [AND] famous [AND] glamorous [IMPLY] grumpy [PERIOD]
beautiful [AND] grumpy [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] fancy [PERIOD]
beautiful [AND] worrisome [IMPLY] joyous [PERIOD]
ambitious [IMPLY] jittery [PERIOD]
beautiful [AND] famous [AND] worrisome [IMPLY] hilarious [PERIOD]
fancy [AND] joyous [IMPLY] tired [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   ambitious ⇒ bad-tempered
   bad-tempered ⇒ comfortable
",1,2
"Facts:  Alice is fearless [PERIOD] Alice is stubborn [PERIOD] Alice is aggressive [PERIOD] Alice is rational [PERIOD] Alice is cooperative [PERIOD] Alice is impatient [PERIOD] Alice is hilarious [PERIOD]
Rules:
worrisome [IMPLY] versatile [PERIOD]
amused [AND] aggressive [IMPLY] exuberant [PERIOD]
fragile [AND] amused [IMPLY] stubborn [PERIOD]
cruel [AND] exuberant [AND] sleepy [IMPLY] clean [PERIOD]
hilarious [AND] cooperative [AND] sensible [IMPLY] impatient [PERIOD]
fragile [IMPLY] cooperative [PERIOD]
messy [IMPLY] quaint [PERIOD]
versatile [IMPLY] clean [PERIOD]
fearless [IMPLY] smart [PERIOD]
impatient [AND] aggressive [IMPLY] stubborn [PERIOD]
impatient [AND] versatile [IMPLY] clean [PERIOD]
cruel [AND] versatile [IMPLY] grumpy [PERIOD]
exuberant [AND] cooperative [IMPLY] fragile [PERIOD]
impatient [IMPLY] talented [PERIOD]
versatile [IMPLY] hilarious [PERIOD]
fragile [AND] grumpy [AND] exuberant [IMPLY] impatient [PERIOD]
hilarious [IMPLY] amused [PERIOD]
sensible [AND] talented [AND] exuberant [IMPLY] aggressive [PERIOD]
messy [AND] versatile [IMPLY] sleepy [PERIOD]
quaint [IMPLY] grumpy [PERIOD]
fragile [IMPLY] versatile [PERIOD]
cooperative [IMPLY] cruel [PERIOD]
clean [AND] worrisome [AND] smart [IMPLY] fragile [PERIOD]
messy [AND] stubborn [AND] versatile [IMPLY] hilarious [PERIOD]
stubborn [AND] cooperative [AND] aggressive [IMPLY] cruel [PERIOD]
hilarious [IMPLY] grumpy [PERIOD]
hilarious [AND] worrisome [IMPLY] grumpy [PERIOD]
talented [AND] clean [AND] smart [IMPLY] fragile [PERIOD]
quaint [AND] stubborn [AND] fearless [IMPLY] cruel [PERIOD]
quaint [AND] fearless [AND] sensible [IMPLY] amused [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   hilarious ⇒ amused
   amused ∧ aggressive ⇒ exuberant
   exuberant ∧ cooperative ⇒ fragile
   fragile ⇒ versatile
   versatile ⇒ clean
",1,5
"Facts:  Alice is naughty [PERIOD] Alice is tender [PERIOD] Alice is straightforward [PERIOD] Alice is outrageous [PERIOD] Alice is victorious [PERIOD]
Rules:
outrageous [AND] naughty [IMPLY] victorious [PERIOD]
busy [AND] pleasant [AND] outrageous [IMPLY] precious [PERIOD]
straightforward [AND] busy [AND] agreeable [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] straightforward [PERIOD]
victorious [AND] crowded [IMPLY] busy [PERIOD]
outrageous [IMPLY] aggressive [PERIOD]
outrageous [AND] crowded [IMPLY] victorious [PERIOD]
straightforward [AND] busy [IMPLY] agreeable [PERIOD]
crowded [AND] naughty [AND] agreeable [IMPLY] tender [PERIOD]
pleasant [IMPLY] agreeable [PERIOD]
aggressive [IMPLY] precious [PERIOD]
agreeable [AND] victorious [AND] aggressive [IMPLY] tender [PERIOD]
agreeable [IMPLY] crowded [PERIOD]
tender [AND] victorious [AND] busy [IMPLY] precious [PERIOD]
busy [AND] victorious [AND] tender [IMPLY] outrageous [PERIOD]
victorious [IMPLY] aggressive [PERIOD]
outrageous [AND] precious [IMPLY] crowded [PERIOD]
aggressive [AND] pleasant [IMPLY] naughty [PERIOD]
precious [IMPLY] straightforward [PERIOD]
tender [AND] agreeable [AND] victorious [IMPLY] naughty [PERIOD]
victorious [AND] agreeable [AND] precious [IMPLY] outrageous [PERIOD]
victorious [IMPLY] outrageous [PERIOD]
busy [AND] crowded [AND] naughty [IMPLY] victorious [PERIOD]
precious [AND] aggressive [IMPLY] pleasant [PERIOD]
tender [AND] victorious [AND] pleasant [IMPLY] agreeable [PERIOD]
precious [IMPLY] aggressive [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   outrageous ⇒ aggressive
   aggressive ⇒ precious
   outrageous ⇒ aggressive
   precious ∧ aggressive ⇒ pleasant
   pleasant ⇒ agreeable
",1,5
"Facts:  Alice is hypocritical [PERIOD] Alice is pleasant [PERIOD] Alice is supportive [PERIOD] Alice is intellectual [PERIOD]
Rules:
comfortable [AND] strange [IMPLY] hypocritical [PERIOD]
shiny [AND] worrisome [AND] ambitious [IMPLY] comfortable [PERIOD]
good [AND] serious [IMPLY] precious [PERIOD]
serious [AND] comfortable [AND] hypocritical [IMPLY] impatient [PERIOD]
naughty [AND] pleasant [AND] hurt [IMPLY] thoughtless [PERIOD]
pleasant [IMPLY] frightened [PERIOD]
comfortable [AND] impatient [AND] supportive [IMPLY] frightened [PERIOD]
wrong [IMPLY] thoughtful [PERIOD]
powerful [AND] frightened [IMPLY] thoughtless [PERIOD]
naughty [AND] supportive [IMPLY] worrisome [PERIOD]
serious [AND] impatient [IMPLY] ambitious [PERIOD]
comfortable [AND] wrong [IMPLY] hypocritical [PERIOD]
pleasant [AND] worrisome [AND] thoughtful [IMPLY] wrong [PERIOD]
tense [IMPLY] naughty [PERIOD]
serious [AND] hypocritical [IMPLY] pleasant [PERIOD]
elegant [IMPLY] attentive [PERIOD]
adorable [IMPLY] precious [PERIOD]
adorable [IMPLY] impatient [PERIOD]
naughty [IMPLY] pleasant [PERIOD]
worrisome [IMPLY] hypocritical [PERIOD]
precious [IMPLY] strange [PERIOD]
frightened [AND] wrong [IMPLY] attentive [PERIOD]
shiny [AND] wrong [AND] frightened [IMPLY] comfortable [PERIOD]
ambitious [IMPLY] serious [PERIOD]
impatient [AND] talkative [IMPLY] attentive [PERIOD]
wrong [AND] vivacious [AND] serious [IMPLY] impatient [PERIOD]
frightened [IMPLY] hypocritical [PERIOD]
serious [IMPLY] worrisome [PERIOD]
wrong [AND] good [IMPLY] naughty [PERIOD]
good [IMPLY] strange [PERIOD]
naughty [AND] serious [IMPLY] thoughtful [PERIOD]
comfortable [AND] wrong [AND] shiny [IMPLY] worrisome [PERIOD]
intellectual [AND] powerful [AND] serious [IMPLY] attentive [PERIOD]
vivacious [IMPLY] intellectual [PERIOD]
thoughtful [IMPLY] worrisome [PERIOD]
precious [IMPLY] elegant [PERIOD]
ambitious [AND] light [AND] hurt [IMPLY] adorable [PERIOD]
adorable [AND] attentive [AND] inquisitive [IMPLY] elegant [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   Cannot apply rule “tense ⇒ naughty” because missing: tense.
   Cannot apply rule “wrong ∧ good ⇒ naughty” because missing: wrong, good.
",0,2
"Facts:  Alice is comfortable [PERIOD]
Rules:
worried [AND] helpless [AND] pleasant [IMPLY] naughty [PERIOD]
helpless [AND] comfortable [IMPLY] bossy [PERIOD]
wandering [AND] naughty [AND] fearless [IMPLY] bossy [PERIOD]
helpless [AND] famous [AND] clumsy [IMPLY] pleasant [PERIOD]
popular [AND] famous [IMPLY] careless [PERIOD]
fearless [IMPLY] comfortable [PERIOD]
wandering [AND] comfortable [IMPLY] talkative [PERIOD]
confident [IMPLY] impatient [PERIOD]
famous [IMPLY] horrible [PERIOD]
bossy [AND] naughty [AND] intellectual [IMPLY] wandering [PERIOD]
clumsy [IMPLY] talkative [PERIOD]
horrible [AND] impatient [AND] naughty [IMPLY] helpless [PERIOD]
pleasant [IMPLY] worried [PERIOD]
difficult [AND] horrible [IMPLY] clumsy [PERIOD]
lonely [AND] naughty [IMPLY] wandering [PERIOD]
difficult [IMPLY] talkative [PERIOD]
wandering [AND] clean [IMPLY] fearless [PERIOD]
worried [AND] horrible [IMPLY] famous [PERIOD]
intellectual [AND] comfortable [IMPLY] confident [PERIOD]
horrible [IMPLY] helpless [PERIOD]
talkative [AND] difficult [IMPLY] impatient [PERIOD]
talkative [IMPLY] distinct [PERIOD]
lonely [IMPLY] pleasant [PERIOD]
popular [IMPLY] helpless [PERIOD]
helpless [AND] mean [IMPLY] distinct [PERIOD]
bossy [AND] wandering [IMPLY] naughty [PERIOD]
famous [AND] distinct [AND] careless [IMPLY] bossy [PERIOD]
tense [AND] popular [IMPLY] clumsy [PERIOD]
tense [AND] mean [IMPLY] horrible [PERIOD]
intellectual [IMPLY] powerful [PERIOD]
lonely [AND] pleasant [IMPLY] helpless [PERIOD]
lonely [IMPLY] bossy [PERIOD]
tense [AND] comfortable [AND] difficult [IMPLY] talkative [PERIOD]
mean [AND] bossy [AND] naughty [IMPLY] fearless [PERIOD]
naughty [AND] powerful [IMPLY] talkative [PERIOD]
helpless [IMPLY] powerful [PERIOD]
famous [AND] powerful [IMPLY] wandering [PERIOD]
difficult [AND] famous [IMPLY] tense [PERIOD]
sincere [IMPLY] pleasant [PERIOD]
famous [AND] difficult [IMPLY] pleasant [PERIOD]
horrible [AND] intellectual [AND] tense [IMPLY] powerful [PERIOD]
intellectual [AND] distinct [IMPLY] popular [PERIOD]
bossy [AND] clumsy [IMPLY] horrible [PERIOD]
comfortable [AND] clean [AND] sincere [IMPLY] careless [PERIOD]
fearless [AND] mean [IMPLY] talkative [PERIOD]
comfortable [AND] clumsy [AND] careless [IMPLY] distinct [PERIOD]
clumsy [IMPLY] sincere [PERIOD]
horrible [AND] pleasant [AND] intellectual [IMPLY] distinct [PERIOD]
difficult [AND] pleasant [AND] clumsy [IMPLY] fearless [PERIOD]
clean [AND] naughty [AND] talkative [IMPLY] popular [PERIOD]
difficult [AND] mean [AND] wandering [IMPLY] fearless [PERIOD]
careless [AND] bossy [IMPLY] impatient [PERIOD]
popular [AND] clumsy [IMPLY] careless [PERIOD]
horrible [AND] powerful [AND] confident [IMPLY] talkative [PERIOD]
powerful [AND] popular [IMPLY] worried [PERIOD]
tense [AND] famous [IMPLY] worried [PERIOD]
distinct [AND] famous [AND] powerful [IMPLY] horrible [PERIOD]
sincere [AND] clumsy [IMPLY] clean [PERIOD]
famous [IMPLY] worried [PERIOD]
distinct [AND] impatient [AND] lonely [IMPLY] tense [PERIOD]
wandering [AND] helpless [IMPLY] clumsy [PERIOD]
tense [IMPLY] careless [PERIOD]
lonely [AND] famous [IMPLY] pleasant [PERIOD]
mean [IMPLY] pleasant [PERIOD]
horrible [AND] intellectual [IMPLY] distinct [PERIOD]
comfortable [IMPLY] difficult [PERIOD]
powerful [AND] difficult [AND] talkative [IMPLY] confident [PERIOD]
clumsy [AND] famous [AND] naughty [IMPLY] helpless [PERIOD]
comfortable [IMPLY] popular [PERIOD]
clumsy [AND] talkative [IMPLY] careless [PERIOD]
horrible [AND] worried [IMPLY] difficult [PERIOD]
naughty [IMPLY] confident [PERIOD]
famous [AND] mean [IMPLY] bossy [PERIOD]
tense [AND] careless [IMPLY] clean [PERIOD]
popular [AND] distinct [AND] comfortable [IMPLY] clean [PERIOD]
powerful [AND] pleasant [AND] naughty [IMPLY] impatient [PERIOD]
difficult [AND] confident [IMPLY] naughty [PERIOD]
talkative [IMPLY] popular [PERIOD]
clumsy [AND] mean [IMPLY] distinct [PERIOD]
careless [IMPLY] pleasant [PERIOD]
wandering [AND] pleasant [AND] horrible [IMPLY] powerful [PERIOD]
intellectual [IMPLY] naughty [PERIOD]
helpless [AND] distinct [AND] lonely [IMPLY] horrible [PERIOD]
clumsy [AND] clean [AND] fearless [IMPLY] wandering [PERIOD]
horrible [AND] difficult [IMPLY] helpless [PERIOD]
difficult [AND] clean [IMPLY] talkative [PERIOD]
tense [AND] intellectual [IMPLY] talkative [PERIOD]
sincere [IMPLY] bossy [PERIOD]
sincere [AND] fearless [AND] talkative [IMPLY] intellectual [PERIOD]
mean [IMPLY] wandering [PERIOD]
worried [IMPLY] lonely [PERIOD]
pleasant [AND] bossy [AND] difficult [IMPLY] comfortable [PERIOD]
wandering [IMPLY] intellectual [PERIOD]
pleasant [IMPLY] naughty [PERIOD]
powerful [AND] wandering [AND] popular [IMPLY] difficult [PERIOD]
clean [IMPLY] comfortable [PERIOD]
impatient [AND] difficult [AND] lonely [IMPLY] horrible [PERIOD]
lonely [IMPLY] confident [PERIOD]
fearless [AND] wandering [IMPLY] worried [PERIOD]
difficult [AND] popular [AND] impatient [IMPLY] helpless [PERIOD]
Query: Alice is confident [PERIOD]","Proof chain:
   comfortable ⇒ popular
   popular ⇒ helpless
   helpless ⇒ powerful
   comfortable ⇒ difficult
   comfortable ⇒ difficult
   difficult ⇒ talkative
   powerful ∧ difficult ∧ talkative ⇒ confident
",1,7
"Facts:  Alice is stormy [PERIOD] Alice is exuberant [PERIOD] Alice is thoughtless [PERIOD] Alice is worried [PERIOD] Alice is jittery [PERIOD] Alice is long [PERIOD] Alice is powerful [PERIOD] Alice is inexpensive [PERIOD] Alice is lucky [PERIOD] Alice is muddy [PERIOD]
Rules:
lucky [IMPLY] stormy [PERIOD]
inexpensive [IMPLY] long [PERIOD]
long [AND] messy [AND] jittery [IMPLY] exuberant [PERIOD]
messy [AND] worried [AND] jittery [IMPLY] wrong [PERIOD]
stormy [AND] wrong [IMPLY] cooperative [PERIOD]
thoughtless [IMPLY] wrong [PERIOD]
wrong [AND] foolish [AND] jittery [IMPLY] cooperative [PERIOD]
exuberant [AND] messy [AND] muddy [IMPLY] long [PERIOD]
powerful [IMPLY] jittery [PERIOD]
powerful [IMPLY] exuberant [PERIOD]
powerful [AND] thoughtless [AND] messy [IMPLY] stormy [PERIOD]
muddy [AND] exuberant [IMPLY] cooperative [PERIOD]
powerful [AND] worried [IMPLY] proud [PERIOD]
exuberant [IMPLY] proud [PERIOD]
muddy [AND] wrong [IMPLY] stormy [PERIOD]
inexpensive [AND] lonely [IMPLY] foolish [PERIOD]
long [IMPLY] foolish [PERIOD]
thoughtless [IMPLY] exuberant [PERIOD]
jittery [AND] agreeable [AND] exuberant [IMPLY] lonely [PERIOD]
stormy [IMPLY] exuberant [PERIOD]
wrong [AND] messy [IMPLY] foolish [PERIOD]
worried [AND] combative [AND] stormy [IMPLY] foolish [PERIOD]
worried [AND] stormy [IMPLY] exuberant [PERIOD]
combative [AND] thoughtless [IMPLY] proud [PERIOD]
agreeable [IMPLY] lucky [PERIOD]
foolish [IMPLY] long [PERIOD]
thoughtless [IMPLY] inexpensive [PERIOD]
proud [AND] powerful [AND] messy [IMPLY] combative [PERIOD]
lucky [AND] worried [AND] long [IMPLY] messy [PERIOD]
messy [AND] foolish [AND] exuberant [IMPLY] thoughtless [PERIOD]
lonely [IMPLY] messy [PERIOD]
agreeable [IMPLY] muddy [PERIOD]
lucky [IMPLY] proud [PERIOD]
powerful [IMPLY] thoughtless [PERIOD]
jittery [AND] foolish [AND] lucky [IMPLY] stormy [PERIOD]
thoughtless [IMPLY] jittery [PERIOD]
cooperative [AND] lonely [IMPLY] stormy [PERIOD]
muddy [AND] thoughtless [AND] worried [IMPLY] lucky [PERIOD]
thoughtless [AND] long [IMPLY] exuberant [PERIOD]
inexpensive [AND] combative [AND] foolish [IMPLY] lucky [PERIOD]
agreeable [AND] cooperative [AND] combative [IMPLY] proud [PERIOD]
jittery [IMPLY] lonely [PERIOD]
messy [IMPLY] wrong [PERIOD]
exuberant [IMPLY] long [PERIOD]
proud [AND] wrong [AND] combative [IMPLY] thoughtless [PERIOD]
proud [AND] lucky [IMPLY] muddy [PERIOD]
powerful [AND] agreeable [AND] inexpensive [IMPLY] muddy [PERIOD]
jittery [AND] thoughtless [IMPLY] lonely [PERIOD]
worried [AND] thoughtless [IMPLY] lonely [PERIOD]
thoughtless [AND] worried [AND] cooperative [IMPLY] lonely [PERIOD]
lonely [IMPLY] foolish [PERIOD]
thoughtless [IMPLY] worried [PERIOD]
cooperative [AND] agreeable [AND] lucky [IMPLY] thoughtless [PERIOD]
wrong [AND] exuberant [IMPLY] combative [PERIOD]
worried [AND] lucky [IMPLY] muddy [PERIOD]
jittery [AND] worried [AND] long [IMPLY] stormy [PERIOD]
lucky [AND] foolish [AND] wrong [IMPLY] combative [PERIOD]
jittery [IMPLY] cooperative [PERIOD]
long [AND] worried [AND] muddy [IMPLY] powerful [PERIOD]
exuberant [AND] lonely [AND] muddy [IMPLY] thoughtless [PERIOD]
cooperative [AND] muddy [IMPLY] combative [PERIOD]
exuberant [AND] worried [IMPLY] foolish [PERIOD]
jittery [AND] long [IMPLY] powerful [PERIOD]
muddy [AND] messy [IMPLY] jittery [PERIOD]
cooperative [AND] combative [IMPLY] muddy [PERIOD]
long [AND] lucky [AND] stormy [IMPLY] agreeable [PERIOD]
wrong [AND] stormy [AND] agreeable [IMPLY] long [PERIOD]
thoughtless [AND] long [IMPLY] cooperative [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is good [PERIOD] Alice is careless [PERIOD]
Rules:
careless [AND] worrisome [AND] bossy [IMPLY] cooperative [PERIOD]
bad-tempered [IMPLY] clumsy [PERIOD]
unpleasant [AND] rational [AND] fearless [IMPLY] loving [PERIOD]
clumsy [AND] rational [IMPLY] jittery [PERIOD]
fearless [AND] disobedient [AND] agreeable [IMPLY] worrisome [PERIOD]
stubborn [IMPLY] outstanding [PERIOD]
dishonest [AND] jittery [AND] good [IMPLY] unpleasant [PERIOD]
dishonest [IMPLY] worrisome [PERIOD]
outstanding [AND] foolish [AND] loving [IMPLY] perfect [PERIOD]
loving [IMPLY] outstanding [PERIOD]
outstanding [AND] bossy [IMPLY] stubborn [PERIOD]
bad-tempered [AND] disobedient [IMPLY] cooperative [PERIOD]
foolish [IMPLY] perfect [PERIOD]
disobedient [IMPLY] rational [PERIOD]
stormy [IMPLY] dishonest [PERIOD]
agreeable [IMPLY] cooperative [PERIOD]
bad-tempered [AND] good [AND] homely [IMPLY] stormy [PERIOD]
rational [IMPLY] clumsy [PERIOD]
loving [AND] clumsy [IMPLY] dishonest [PERIOD]
foolish [IMPLY] worrisome [PERIOD]
jittery [AND] loving [IMPLY] good [PERIOD]
foolish [AND] dishonest [IMPLY] clumsy [PERIOD]
stormy [IMPLY] disobedient [PERIOD]
attentive [AND] stubborn [AND] worrisome [IMPLY] dishonest [PERIOD]
worrisome [AND] foolish [IMPLY] agreeable [PERIOD]
loving [IMPLY] foolish [PERIOD]
outstanding [IMPLY] homely [PERIOD]
jittery [AND] loving [IMPLY] rational [PERIOD]
worrisome [AND] outstanding [IMPLY] homely [PERIOD]
good [IMPLY] homely [PERIOD]
loving [AND] stubborn [AND] attentive [IMPLY] cooperative [PERIOD]
disobedient [IMPLY] outstanding [PERIOD]
jittery [IMPLY] worrisome [PERIOD]
loving [AND] bad-tempered [AND] homely [IMPLY] troubled [PERIOD]
loving [IMPLY] cooperative [PERIOD]
rational [AND] disobedient [IMPLY] foolish [PERIOD]
outstanding [IMPLY] foolish [PERIOD]
loving [IMPLY] bad-tempered [PERIOD]
stubborn [IMPLY] rational [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   Cannot apply rule “careless ∧ worrisome ∧ bossy ⇒ cooperative” because missing: worrisome, bossy.
   Cannot apply rule “bad-tempered ∧ disobedient ⇒ cooperative” because missing: bad-tempered, disobedient.
   Cannot apply rule “agreeable ⇒ cooperative” because missing: agreeable.
   Cannot apply rule “loving ∧ stubborn ∧ attentive ⇒ cooperative” because missing: loving, stubborn, attentive.
   Cannot apply rule “loving ⇒ cooperative” because missing: loving.
",0,5
"Facts:  Alice is inquisitive [PERIOD] Alice is hypocritical [PERIOD]
Rules:
inquisitive [AND] easy [AND] uptight [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] uptight [PERIOD]
wrong [IMPLY] attentive [PERIOD]
tender [AND] long [AND] inquisitive [IMPLY] elated [PERIOD]
inquisitive [AND] stubborn [AND] tender [IMPLY] attentive [PERIOD]
wrong [AND] uptight [AND] stubborn [IMPLY] frail [PERIOD]
attentive [AND] frail [AND] long [IMPLY] tender [PERIOD]
inquisitive [IMPLY] tender [PERIOD]
hypocritical [AND] tender [AND] long [IMPLY] wrong [PERIOD]
outstanding [AND] uptight [AND] inquisitive [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] easy [PERIOD]
attentive [IMPLY] stubborn [PERIOD]
outstanding [AND] hypocritical [IMPLY] frail [PERIOD]
tender [AND] long [AND] wrong [IMPLY] frail [PERIOD]
easy [AND] tender [IMPLY] uptight [PERIOD]
long [IMPLY] outstanding [PERIOD]
outstanding [AND] uptight [IMPLY] attentive [PERIOD]
elated [AND] stubborn [IMPLY] inquisitive [PERIOD]
long [AND] hypocritical [AND] wrong [IMPLY] outstanding [PERIOD]
tender [IMPLY] inquisitive [PERIOD]
attentive [AND] inquisitive [AND] stubborn [IMPLY] easy [PERIOD]
long [IMPLY] elated [PERIOD]
attentive [AND] frail [AND] inquisitive [IMPLY] hypocritical [PERIOD]
easy [IMPLY] hypocritical [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   Cannot apply rule “inquisitive ∧ easy ∧ uptight ⇒ outstanding” because missing: easy, uptight.
   Cannot apply rule “long ⇒ outstanding” because missing: long.
   Cannot apply rule “long ∧ hypocritical ∧ wrong ⇒ outstanding” because missing: long, wrong.
",0,3
"Facts:  Alice is nervous [PERIOD] Alice is clean [PERIOD]
Rules:
gorgeous [AND] spotless [AND] nervous [IMPLY] excited [PERIOD]
loving [AND] popular [AND] old-fashioned [IMPLY] outrageous [PERIOD]
old-fashioned [AND] clean [AND] excited [IMPLY] dishonest [PERIOD]
spotless [AND] clean [AND] old-fashioned [IMPLY] loving [PERIOD]
popular [AND] gorgeous [IMPLY] spotless [PERIOD]
loving [AND] dishonest [IMPLY] excited [PERIOD]
dishonest [AND] old-fashioned [IMPLY] popular [PERIOD]
outrageous [AND] popular [IMPLY] excited [PERIOD]
loving [AND] gorgeous [AND] old-fashioned [IMPLY] popular [PERIOD]
popular [AND] old-fashioned [AND] clean [IMPLY] loving [PERIOD]
popular [AND] spotless [AND] clean [IMPLY] gorgeous [PERIOD]
clean [AND] popular [IMPLY] dishonest [PERIOD]
excited [AND] loving [IMPLY] dishonest [PERIOD]
excited [AND] loving [IMPLY] nervous [PERIOD]
old-fashioned [AND] nervous [IMPLY] outrageous [PERIOD]
loving [AND] gorgeous [AND] dishonest [IMPLY] popular [PERIOD]
popular [IMPLY] spotless [PERIOD]
outrageous [AND] excited [IMPLY] dishonest [PERIOD]
old-fashioned [IMPLY] outrageous [PERIOD]
old-fashioned [AND] popular [AND] dishonest [IMPLY] clean [PERIOD]
old-fashioned [IMPLY] excited [PERIOD]
clean [IMPLY] loving [PERIOD]
old-fashioned [AND] nervous [IMPLY] spotless [PERIOD]
spotless [AND] outrageous [IMPLY] old-fashioned [PERIOD]
spotless [AND] dishonest [IMPLY] outrageous [PERIOD]
clean [AND] dishonest [AND] spotless [IMPLY] popular [PERIOD]
nervous [AND] popular [AND] outrageous [IMPLY] dishonest [PERIOD]
excited [IMPLY] spotless [PERIOD]
old-fashioned [AND] loving [IMPLY] outrageous [PERIOD]
nervous [AND] popular [AND] loving [IMPLY] old-fashioned [PERIOD]
outrageous [IMPLY] loving [PERIOD]
dishonest [AND] loving [IMPLY] outrageous [PERIOD]
spotless [IMPLY] clean [PERIOD]
clean [IMPLY] old-fashioned [PERIOD]
gorgeous [AND] old-fashioned [AND] clean [IMPLY] excited [PERIOD]
nervous [AND] gorgeous [IMPLY] excited [PERIOD]
nervous [AND] excited [AND] clean [IMPLY] popular [PERIOD]
spotless [AND] nervous [IMPLY] loving [PERIOD]
dishonest [IMPLY] nervous [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   clean ⇒ old-fashioned
   old-fashioned ⇒ excited
   nervous ∧ excited ∧ clean ⇒ popular
   clean ⇒ old-fashioned
   old-fashioned ∧ nervous ⇒ spotless
   popular ∧ spotless ∧ clean ⇒ gorgeous
",1,6
"Facts:  Alice is adorable [PERIOD] Alice is foolish [PERIOD]
Rules:
foolish [IMPLY] hypocritical [PERIOD]
easy [IMPLY] hypocritical [PERIOD]
shiny [AND] quaint [AND] thoughtful [IMPLY] hypocritical [PERIOD]
easy [IMPLY] adorable [PERIOD]
foolish [AND] gleaming [AND] easy [IMPLY] hypocritical [PERIOD]
easy [IMPLY] combative [PERIOD]
foolish [AND] quaint [IMPLY] gleaming [PERIOD]
gleaming [AND] thoughtful [IMPLY] foolish [PERIOD]
quaint [AND] thoughtful [IMPLY] combative [PERIOD]
thoughtful [AND] hypocritical [IMPLY] adorable [PERIOD]
gleaming [AND] adorable [IMPLY] foolish [PERIOD]
easy [AND] thoughtful [AND] adorable [IMPLY] shiny [PERIOD]
quaint [AND] foolish [IMPLY] combative [PERIOD]
foolish [AND] easy [IMPLY] shiny [PERIOD]
adorable [AND] shiny [AND] easy [IMPLY] hypocritical [PERIOD]
adorable [IMPLY] thoughtful [PERIOD]
adorable [AND] thoughtful [AND] hypocritical [IMPLY] foolish [PERIOD]
easy [AND] combative [IMPLY] thoughtful [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   Cannot apply rule “easy ⇒ combative” because missing: easy.
   adorable ⇒ thoughtful
   Cannot apply rule “quaint ∧ thoughtful ⇒ combative” because missing: quaint.
   Cannot apply rule “quaint ∧ foolish ⇒ combative” because missing: quaint.
",0,4
"Facts: 
Rules:
loving [IMPLY] talkative [PERIOD]
loving [AND] talkative [AND] disobedient [IMPLY] naughty [PERIOD]
talkative [AND] shiny [AND] loving [IMPLY] unpleasant [PERIOD]
talkative [IMPLY] disobedient [PERIOD]
unpleasant [AND] naughty [IMPLY] disobedient [PERIOD]
loving [AND] naughty [AND] disobedient [IMPLY] unpleasant [PERIOD]
loving [AND] shiny [AND] disobedient [IMPLY] talkative [PERIOD]
talkative [AND] unpleasant [AND] naughty [IMPLY] nervous [PERIOD]
talkative [AND] shiny [IMPLY] nervous [PERIOD]
unpleasant [IMPLY] shiny [PERIOD]
talkative [AND] loving [IMPLY] nervous [PERIOD]
nervous [IMPLY] talkative [PERIOD]
nervous [AND] talkative [IMPLY] loving [PERIOD]
disobedient [AND] naughty [AND] unpleasant [IMPLY] shiny [PERIOD]
naughty [IMPLY] shiny [PERIOD]
naughty [AND] shiny [IMPLY] disobedient [PERIOD]
unpleasant [AND] nervous [AND] loving [IMPLY] naughty [PERIOD]
talkative [IMPLY] nervous [PERIOD]
nervous [AND] naughty [IMPLY] disobedient [PERIOD]
naughty [AND] shiny [AND] unpleasant [IMPLY] talkative [PERIOD]
loving [AND] nervous [AND] disobedient [IMPLY] unpleasant [PERIOD]
nervous [AND] loving [AND] talkative [IMPLY] shiny [PERIOD]
talkative [AND] nervous [IMPLY] disobedient [PERIOD]
loving [AND] disobedient [IMPLY] talkative [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “loving ⇒ talkative” because missing: loving.
   Cannot apply rule “loving ∧ shiny ∧ disobedient ⇒ talkative” because missing: loving, shiny, disobedient.
   Cannot apply rule “nervous ⇒ talkative” because missing: nervous.
   Cannot apply rule “naughty ∧ shiny ∧ unpleasant ⇒ talkative” because missing: naughty, shiny, unpleasant.
   Cannot apply rule “loving ∧ disobedient ⇒ talkative” because missing: loving, disobedient.
",0,5
"Facts:  Alice is ugliest [PERIOD]
Rules:
ugliest [IMPLY] sincere [PERIOD]
ugliest [AND] unpleasant [IMPLY] pleasant [PERIOD]
sincere [AND] ugliest [AND] thoughtful [IMPLY] unpleasant [PERIOD]
ugliest [AND] pleasant [AND] thoughtful [IMPLY] sincere [PERIOD]
sincere [AND] thoughtful [IMPLY] pleasant [PERIOD]
ugliest [AND] pleasant [IMPLY] sincere [PERIOD]
unpleasant [AND] ugliest [AND] sincere [IMPLY] thoughtful [PERIOD]
pleasant [AND] thoughtful [IMPLY] ugliest [PERIOD]
pleasant [IMPLY] ugliest [PERIOD]
pleasant [AND] thoughtful [IMPLY] sincere [PERIOD]
unpleasant [AND] pleasant [AND] sincere [IMPLY] thoughtful [PERIOD]
sincere [IMPLY] thoughtful [PERIOD]
ugliest [AND] unpleasant [AND] sincere [IMPLY] pleasant [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   ugliest ⇒ sincere
   ugliest ⇒ sincere
   sincere ⇒ thoughtful
   sincere ∧ thoughtful ⇒ pleasant
",1,4
"Facts:  Alice is attentive [PERIOD] Alice is proud [PERIOD]
Rules:
wide-eyed [AND] stubborn [AND] tame [IMPLY] scared [PERIOD]
talented [IMPLY] long [PERIOD]
long [AND] naughty [AND] impartial [IMPLY] elated [PERIOD]
proud [IMPLY] worrisome [PERIOD]
thoughtful [AND] messy [IMPLY] elated [PERIOD]
enchanting [IMPLY] perfect [PERIOD]
enchanting [IMPLY] scared [PERIOD]
crowded [AND] wide-eyed [IMPLY] blushing [PERIOD]
crowded [AND] silly [IMPLY] elated [PERIOD]
muddy [AND] worrisome [AND] naughty [IMPLY] careless [PERIOD]
messy [AND] modern [AND] stubborn [IMPLY] elated [PERIOD]
wide-eyed [IMPLY] messy [PERIOD]
naughty [AND] worrisome [AND] proud [IMPLY] selfish [PERIOD]
wide-eyed [AND] perfect [IMPLY] silly [PERIOD]
long [AND] attentive [IMPLY] stubborn [PERIOD]
proud [AND] worrisome [IMPLY] adorable [PERIOD]
long [AND] blushing [AND] different [IMPLY] naughty [PERIOD]
selfish [IMPLY] adorable [PERIOD]
scared [IMPLY] naughty [PERIOD]
long [IMPLY] careless [PERIOD]
worrisome [AND] bright [AND] perfect [IMPLY] elated [PERIOD]
talented [AND] adorable [IMPLY] crowded [PERIOD]
enchanting [AND] long [IMPLY] stubborn [PERIOD]
attentive [AND] wide-eyed [IMPLY] scared [PERIOD]
muddy [AND] talented [IMPLY] adorable [PERIOD]
crowded [IMPLY] long [PERIOD]
enchanting [IMPLY] modern [PERIOD]
long [AND] crowded [IMPLY] attentive [PERIOD]
blushing [AND] selfish [IMPLY] talented [PERIOD]
scared [AND] careless [AND] tame [IMPLY] talented [PERIOD]
mean [AND] talented [AND] selfish [IMPLY] attentive [PERIOD]
stubborn [IMPLY] silly [PERIOD]
naughty [IMPLY] careless [PERIOD]
scared [AND] careless [AND] bright [IMPLY] different [PERIOD]
talented [IMPLY] proud [PERIOD]
messy [AND] proud [AND] elated [IMPLY] bright [PERIOD]
silly [AND] muddy [AND] enchanting [IMPLY] thoughtful [PERIOD]
impartial [AND] proud [AND] mean [IMPLY] adorable [PERIOD]
messy [AND] elated [AND] naughty [IMPLY] wide-eyed [PERIOD]
bright [AND] thoughtful [AND] different [IMPLY] proud [PERIOD]
impartial [IMPLY] adorable [PERIOD]
adorable [IMPLY] crowded [PERIOD]
thoughtful [AND] modern [AND] silly [IMPLY] enchanting [PERIOD]
stubborn [AND] tame [AND] naughty [IMPLY] proud [PERIOD]
attentive [AND] worrisome [IMPLY] muddy [PERIOD]
naughty [AND] long [IMPLY] talented [PERIOD]
silly [AND] adorable [IMPLY] different [PERIOD]
messy [IMPLY] talented [PERIOD]
mean [IMPLY] blushing [PERIOD]
selfish [IMPLY] perfect [PERIOD]
muddy [IMPLY] scared [PERIOD]
wide-eyed [AND] blushing [IMPLY] attentive [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   proud ⇒ worrisome
   proud ∧ worrisome ⇒ adorable
   adorable ⇒ crowded
   crowded ⇒ long
   long ∧ attentive ⇒ stubborn
   stubborn ⇒ silly
   Cannot apply rule “thoughtful ∧ modern ∧ silly ⇒ enchanting” because missing: thoughtful, modern.
",0,7
"Facts:  Alice is light [PERIOD] Alice is weary [PERIOD] Alice is dishonest [PERIOD]
Rules:
tidy [IMPLY] inexpensive [PERIOD]
tidy [AND] light [IMPLY] dishonest [PERIOD]
impartial [AND] dishonest [IMPLY] helpful [PERIOD]
weary [AND] light [IMPLY] hurt [PERIOD]
excited [AND] tidy [IMPLY] wide-eyed [PERIOD]
bad-tempered [IMPLY] helpful [PERIOD]
worrisome [AND] light [AND] wide-eyed [IMPLY] helpful [PERIOD]
light [AND] bad-tempered [AND] impartial [IMPLY] difficult [PERIOD]
bad-tempered [AND] wide-eyed [IMPLY] tidy [PERIOD]
weary [AND] helpful [AND] wide-eyed [IMPLY] worrisome [PERIOD]
excited [AND] weary [IMPLY] difficult [PERIOD]
tidy [AND] dishonest [IMPLY] inexpensive [PERIOD]
weary [AND] inexpensive [AND] cruel [IMPLY] hurt [PERIOD]
excited [IMPLY] wide-eyed [PERIOD]
hurt [AND] cruel [AND] helpful [IMPLY] inexpensive [PERIOD]
light [AND] dishonest [AND] difficult [IMPLY] worrisome [PERIOD]
weary [AND] wide-eyed [AND] worrisome [IMPLY] dishonest [PERIOD]
hurt [IMPLY] inexpensive [PERIOD]
hurt [AND] impartial [IMPLY] bad-tempered [PERIOD]
hurt [AND] worrisome [AND] inexpensive [IMPLY] excited [PERIOD]
tidy [IMPLY] dishonest [PERIOD]
hurt [AND] light [AND] dishonest [IMPLY] tidy [PERIOD]
difficult [AND] impartial [IMPLY] cruel [PERIOD]
difficult [IMPLY] impartial [PERIOD]
light [IMPLY] tidy [PERIOD]
bad-tempered [AND] impartial [AND] dishonest [IMPLY] tidy [PERIOD]
weary [IMPLY] light [PERIOD]
cruel [AND] weary [IMPLY] tidy [PERIOD]
helpful [AND] hurt [AND] weary [IMPLY] wide-eyed [PERIOD]
difficult [IMPLY] cruel [PERIOD]
inexpensive [AND] impartial [IMPLY] bad-tempered [PERIOD]
weary [IMPLY] bad-tempered [PERIOD]
weary [AND] excited [IMPLY] inexpensive [PERIOD]
cruel [IMPLY] light [PERIOD]
wide-eyed [IMPLY] helpful [PERIOD]
wide-eyed [AND] helpful [IMPLY] dishonest [PERIOD]
difficult [AND] bad-tempered [AND] worrisome [IMPLY] helpful [PERIOD]
weary [IMPLY] tidy [PERIOD]
cruel [AND] impartial [AND] dishonest [IMPLY] weary [PERIOD]
dishonest [AND] excited [AND] tidy [IMPLY] cruel [PERIOD]
light [AND] worrisome [AND] difficult [IMPLY] tidy [PERIOD]
impartial [AND] weary [IMPLY] excited [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   weary ⇒ bad-tempered
   bad-tempered ⇒ helpful
   weary ⇒ bad-tempered
   bad-tempered ⇒ helpful
   weary ∧ light ⇒ hurt
   helpful ∧ hurt ∧ weary ⇒ wide-eyed
   weary ∧ helpful ∧ wide-eyed ⇒ worrisome
",1,7
"Facts: 
Rules:
hypocritical [AND] wide-eyed [IMPLY] thoughtful [PERIOD]
worrisome [IMPLY] easy [PERIOD]
attractive [AND] easy [AND] pessimistic [IMPLY] enchanting [PERIOD]
hilarious [AND] broad-minded [AND] frightened [IMPLY] inexpensive [PERIOD]
hypocritical [AND] beautiful [IMPLY] attractive [PERIOD]
broad-minded [AND] weary [IMPLY] enchanting [PERIOD]
aggressive [IMPLY] distinct [PERIOD]
tidy [AND] modern [IMPLY] attractive [PERIOD]
tired [IMPLY] enchanting [PERIOD]
frightened [IMPLY] wide-eyed [PERIOD]
aggressive [AND] frightened [AND] weary [IMPLY] tidy [PERIOD]
thoughtful [IMPLY] fearless [PERIOD]
busy [AND] frightened [AND] messy [IMPLY] reserved [PERIOD]
enchanting [IMPLY] calm [PERIOD]
frightened [IMPLY] reserved [PERIOD]
witty [IMPLY] wide-eyed [PERIOD]
inexpensive [AND] fearless [AND] calm [IMPLY] distinct [PERIOD]
broad-minded [AND] scared [IMPLY] enchanting [PERIOD]
messy [AND] easy [IMPLY] tired [PERIOD]
wide-eyed [IMPLY] clumsy [PERIOD]
aggressive [IMPLY] witty [PERIOD]
fearless [AND] aggressive [IMPLY] beautiful [PERIOD]
hypocritical [AND] thoughtful [IMPLY] inexpensive [PERIOD]
hypocritical [AND] scared [AND] reserved [IMPLY] messy [PERIOD]
aggressive [IMPLY] tender [PERIOD]
hypocritical [IMPLY] beautiful [PERIOD]
weary [AND] broad-minded [AND] clumsy [IMPLY] inexpensive [PERIOD]
clumsy [IMPLY] witty [PERIOD]
zealous [IMPLY] witty [PERIOD]
messy [AND] attractive [AND] pessimistic [IMPLY] witty [PERIOD]
frail [AND] busy [AND] inexpensive [IMPLY] clumsy [PERIOD]
aggressive [AND] easy [AND] witty [IMPLY] modern [PERIOD]
hilarious [IMPLY] zealous [PERIOD]
tender [IMPLY] clumsy [PERIOD]
tidy [AND] wide-eyed [IMPLY] easy [PERIOD]
beautiful [IMPLY] worrisome [PERIOD]
busy [AND] weary [AND] aggressive [IMPLY] scared [PERIOD]
inexpensive [AND] pessimistic [AND] hypocritical [IMPLY] scared [PERIOD]
frail [IMPLY] fearless [PERIOD]
tired [IMPLY] hypocritical [PERIOD]
frail [IMPLY] weary [PERIOD]
frail [IMPLY] thoughtful [PERIOD]
zealous [AND] modern [AND] clumsy [IMPLY] frail [PERIOD]
tidy [AND] worrisome [IMPLY] hilarious [PERIOD]
wide-eyed [AND] calm [IMPLY] tender [PERIOD]
weary [IMPLY] worrisome [PERIOD]
distinct [IMPLY] thoughtful [PERIOD]
frightened [AND] busy [IMPLY] broad-minded [PERIOD]
pessimistic [AND] tender [AND] fearless [IMPLY] modern [PERIOD]
fearless [IMPLY] witty [PERIOD]
calm [IMPLY] scared [PERIOD]
tender [IMPLY] witty [PERIOD]
distinct [AND] attractive [AND] messy [IMPLY] clumsy [PERIOD]
calm [AND] easy [IMPLY] weary [PERIOD]
worrisome [IMPLY] fearless [PERIOD]
busy [AND] easy [AND] beautiful [IMPLY] hypocritical [PERIOD]
busy [AND] attractive [IMPLY] tender [PERIOD]
weary [AND] enchanting [IMPLY] easy [PERIOD]
witty [AND] clumsy [AND] hypocritical [IMPLY] easy [PERIOD]
enchanting [AND] thoughtful [IMPLY] attractive [PERIOD]
inexpensive [AND] reserved [AND] frightened [IMPLY] tender [PERIOD]
inexpensive [IMPLY] modern [PERIOD]
distinct [AND] easy [IMPLY] tired [PERIOD]
distinct [AND] wide-eyed [AND] calm [IMPLY] tender [PERIOD]
distinct [AND] zealous [AND] messy [IMPLY] frail [PERIOD]
reserved [AND] wide-eyed [IMPLY] tender [PERIOD]
attractive [AND] clumsy [AND] broad-minded [IMPLY] weary [PERIOD]
calm [AND] attractive [IMPLY] fearless [PERIOD]
easy [AND] tender [IMPLY] hilarious [PERIOD]
tired [AND] pessimistic [IMPLY] calm [PERIOD]
pessimistic [IMPLY] hilarious [PERIOD]
enchanting [AND] fearless [AND] aggressive [IMPLY] zealous [PERIOD]
busy [IMPLY] broad-minded [PERIOD]
beautiful [IMPLY] tender [PERIOD]
attractive [AND] tired [IMPLY] enchanting [PERIOD]
enchanting [AND] messy [AND] attractive [IMPLY] wide-eyed [PERIOD]
calm [IMPLY] reserved [PERIOD]
beautiful [AND] pessimistic [AND] tidy [IMPLY] distinct [PERIOD]
witty [AND] tired [AND] tender [IMPLY] thoughtful [PERIOD]
wide-eyed [AND] attractive [AND] hilarious [IMPLY] modern [PERIOD]
reserved [IMPLY] fearless [PERIOD]
tidy [AND] modern [IMPLY] frightened [PERIOD]
weary [IMPLY] frail [PERIOD]
reserved [IMPLY] frightened [PERIOD]
attractive [IMPLY] hypocritical [PERIOD]
attractive [AND] distinct [IMPLY] inexpensive [PERIOD]
worrisome [IMPLY] modern [PERIOD]
broad-minded [AND] hypocritical [AND] easy [IMPLY] reserved [PERIOD]
attractive [AND] tender [IMPLY] weary [PERIOD]
inexpensive [AND] modern [IMPLY] frightened [PERIOD]
distinct [AND] hilarious [AND] fearless [IMPLY] messy [PERIOD]
frightened [AND] attractive [IMPLY] inexpensive [PERIOD]
reserved [IMPLY] busy [PERIOD]
zealous [IMPLY] frail [PERIOD]
clumsy [AND] calm [AND] enchanting [IMPLY] worrisome [PERIOD]
broad-minded [AND] reserved [AND] wide-eyed [IMPLY] worrisome [PERIOD]
distinct [IMPLY] worrisome [PERIOD]
tidy [AND] reserved [AND] weary [IMPLY] busy [PERIOD]
attractive [AND] busy [AND] easy [IMPLY] tired [PERIOD]
broad-minded [AND] witty [AND] hilarious [IMPLY] worrisome [PERIOD]
pessimistic [AND] zealous [AND] inexpensive [IMPLY] reserved [PERIOD]
reserved [AND] frightened [AND] modern [IMPLY] worrisome [PERIOD]
hilarious [IMPLY] witty [PERIOD]
thoughtful [AND] tired [AND] inexpensive [IMPLY] frightened [PERIOD]
broad-minded [AND] clumsy [AND] worrisome [IMPLY] hypocritical [PERIOD]
broad-minded [IMPLY] calm [PERIOD]
reserved [AND] weary [AND] easy [IMPLY] messy [PERIOD]
weary [IMPLY] attractive [PERIOD]
worrisome [IMPLY] reserved [PERIOD]
inexpensive [AND] scared [IMPLY] wide-eyed [PERIOD]
witty [IMPLY] tidy [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   Cannot apply rule “aggressive ⇒ tender” because missing: aggressive.
   Cannot apply rule “wide-eyed ∧ calm ⇒ tender” because missing: wide-eyed, calm.
   Cannot apply rule “busy ∧ attractive ⇒ tender” because missing: busy, attractive.
   Cannot apply rule “inexpensive ∧ reserved ∧ frightened ⇒ tender” because missing: inexpensive, reserved, frightened.
   Cannot apply rule “distinct ∧ wide-eyed ∧ calm ⇒ tender” because missing: distinct, wide-eyed, calm.
   Cannot apply rule “reserved ∧ wide-eyed ⇒ tender” because missing: reserved, wide-eyed.
   Cannot apply rule “beautiful ⇒ tender” because missing: beautiful.
",0,7
"Facts:  Alice is worrisome [PERIOD]
Rules:
worrisome [AND] impartial [IMPLY] light [PERIOD]
ugly [AND] impartial [AND] tired [IMPLY] enchanting [PERIOD]
tired [IMPLY] impartial [PERIOD]
tired [AND] powerful [AND] distinct [IMPLY] ugly [PERIOD]
light [AND] polite [IMPLY] powerful [PERIOD]
polite [IMPLY] tame [PERIOD]
impartial [AND] tender [IMPLY] worrisome [PERIOD]
powerful [IMPLY] tender [PERIOD]
worrisome [IMPLY] friendly [PERIOD]
ugly [AND] distinct [IMPLY] powerful [PERIOD]
impartial [AND] ugly [IMPLY] tame [PERIOD]
powerful [AND] impartial [AND] distinct [IMPLY] tame [PERIOD]
ugly [IMPLY] tender [PERIOD]
polite [IMPLY] distinct [PERIOD]
tame [AND] tender [AND] powerful [IMPLY] ugly [PERIOD]
tame [AND] impartial [IMPLY] ugly [PERIOD]
ugly [AND] worrisome [IMPLY] friendly [PERIOD]
tender [AND] friendly [IMPLY] enchanting [PERIOD]
ugly [AND] light [IMPLY] distinct [PERIOD]
impartial [AND] powerful [IMPLY] light [PERIOD]
friendly [IMPLY] tender [PERIOD]
friendly [AND] tired [AND] ugly [IMPLY] enchanting [PERIOD]
enchanting [AND] tame [AND] distinct [IMPLY] light [PERIOD]
friendly [AND] powerful [IMPLY] tame [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   Cannot apply rule “worrisome ∧ impartial ⇒ light” because missing: impartial.
   Cannot apply rule “impartial ∧ powerful ⇒ light” because missing: impartial, powerful.
   worrisome ⇒ friendly
   friendly ⇒ tender
   worrisome ⇒ friendly
   tender ∧ friendly ⇒ enchanting
   Cannot apply rule “enchanting ∧ tame ∧ distinct ⇒ light” because missing: tame, distinct.
",0,7
"Facts:  Alice is impartial [PERIOD]
Rules:
tame [AND] diplomatic [AND] long [IMPLY] inexpensive [PERIOD]
condemned [AND] homely [IMPLY] elated [PERIOD]
broad-minded [IMPLY] homely [PERIOD]
fragile [AND] exuberant [IMPLY] long [PERIOD]
broad-minded [IMPLY] elated [PERIOD]
long [IMPLY] ugly [PERIOD]
exuberant [AND] impartial [IMPLY] selfish [PERIOD]
elated [IMPLY] homely [PERIOD]
elated [AND] tidy [AND] easy [IMPLY] tame [PERIOD]
ugly [IMPLY] tidy [PERIOD]
impartial [IMPLY] jittery [PERIOD]
plain [IMPLY] thoughtful [PERIOD]
ugly [AND] diplomatic [AND] cute [IMPLY] joyous [PERIOD]
fragile [IMPLY] thoughtful [PERIOD]
ugly [IMPLY] inexpensive [PERIOD]
selfish [AND] broad-minded [AND] thoughtless [IMPLY] jittery [PERIOD]
selfish [AND] frightened [AND] exuberant [IMPLY] homely [PERIOD]
tidy [IMPLY] long [PERIOD]
selfish [AND] long [IMPLY] gleaming [PERIOD]
joyous [AND] gleaming [IMPLY] tame [PERIOD]
diplomatic [AND] homely [IMPLY] thoughtless [PERIOD]
easy [AND] inexpensive [AND] adorable [IMPLY] elated [PERIOD]
homely [AND] condemned [AND] ugly [IMPLY] easy [PERIOD]
gleaming [AND] elated [AND] joyous [IMPLY] ugly [PERIOD]
adorable [IMPLY] plain [PERIOD]
gleaming [IMPLY] thoughtful [PERIOD]
joyous [AND] fragile [AND] plain [IMPLY] elated [PERIOD]
exuberant [AND] selfish [AND] easy [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] tame [PERIOD]
inexpensive [AND] thoughtless [IMPLY] selfish [PERIOD]
inexpensive [AND] gleaming [IMPLY] tame [PERIOD]
inexpensive [AND] cute [IMPLY] thoughtful [PERIOD]
tidy [IMPLY] plain [PERIOD]
tidy [AND] broad-minded [IMPLY] impartial [PERIOD]
frightened [AND] tidy [IMPLY] plain [PERIOD]
gleaming [AND] diplomatic [IMPLY] homely [PERIOD]
thoughtless [AND] diplomatic [AND] joyous [IMPLY] exuberant [PERIOD]
joyous [AND] cute [IMPLY] inexpensive [PERIOD]
joyous [IMPLY] broad-minded [PERIOD]
adorable [AND] ugly [IMPLY] impartial [PERIOD]
thoughtful [AND] selfish [IMPLY] condemned [PERIOD]
thoughtful [AND] frightened [AND] impartial [IMPLY] plain [PERIOD]
thoughtful [AND] homely [IMPLY] joyous [PERIOD]
gleaming [AND] homely [IMPLY] thoughtless [PERIOD]
tidy [AND] easy [AND] plain [IMPLY] ugly [PERIOD]
gleaming [AND] tidy [AND] joyous [IMPLY] thoughtless [PERIOD]
frightened [AND] ugly [AND] condemned [IMPLY] jittery [PERIOD]
ugly [IMPLY] cute [PERIOD]
adorable [AND] tidy [IMPLY] thoughtful [PERIOD]
elated [AND] selfish [IMPLY] impartial [PERIOD]
thoughtless [AND] tame [AND] inexpensive [IMPLY] broad-minded [PERIOD]
impartial [IMPLY] cute [PERIOD]
plain [AND] fragile [IMPLY] long [PERIOD]
tame [AND] thoughtless [AND] cute [IMPLY] tidy [PERIOD]
ugly [AND] adorable [AND] exuberant [IMPLY] long [PERIOD]
tidy [AND] thoughtful [IMPLY] joyous [PERIOD]
long [AND] ugly [IMPLY] exuberant [PERIOD]
selfish [IMPLY] joyous [PERIOD]
selfish [AND] jittery [IMPLY] tidy [PERIOD]
frightened [IMPLY] exuberant [PERIOD]
elated [AND] homely [IMPLY] thoughtless [PERIOD]
frightened [AND] tame [IMPLY] thoughtful [PERIOD]
tidy [IMPLY] adorable [PERIOD]
broad-minded [IMPLY] gleaming [PERIOD]
thoughtless [IMPLY] condemned [PERIOD]
tidy [AND] selfish [IMPLY] diplomatic [PERIOD]
elated [IMPLY] gleaming [PERIOD]
tame [AND] thoughtless [IMPLY] diplomatic [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   Cannot apply rule “ugly ⇒ tidy” because missing: ugly.
   impartial ⇒ cute
   Cannot apply rule “tame ∧ thoughtless ∧ cute ⇒ tidy” because missing: tame, thoughtless.
   impartial ⇒ jittery
   Cannot apply rule “selfish ∧ jittery ⇒ tidy” because missing: selfish.
",0,5
"Facts:  Alice is tame [PERIOD]
Rules:
enchanting [AND] homely [IMPLY] tidy [PERIOD]
intellectual [AND] agreeable [AND] dull [IMPLY] long [PERIOD]
dishonest [AND] long [AND] impartial [IMPLY] tame [PERIOD]
bored [IMPLY] long [PERIOD]
bright [IMPLY] dishonest [PERIOD]
muddy [IMPLY] diplomatic [PERIOD]
diplomatic [AND] dishonest [AND] muddy [IMPLY] enchanting [PERIOD]
dull [AND] dishonest [AND] silly [IMPLY] enchanting [PERIOD]
muddy [AND] vivacious [IMPLY] impartial [PERIOD]
popular [AND] dishonest [AND] tame [IMPLY] impartial [PERIOD]
bright [AND] bored [IMPLY] muddy [PERIOD]
intellectual [AND] silly [IMPLY] shy [PERIOD]
shy [AND] distinct [IMPLY] muddy [PERIOD]
lonely [AND] impartial [IMPLY] enchanting [PERIOD]
bored [AND] vivacious [AND] sleepy [IMPLY] dull [PERIOD]
cute [AND] distinct [IMPLY] dishonest [PERIOD]
agreeable [IMPLY] impartial [PERIOD]
bright [AND] intellectual [AND] shy [IMPLY] tidy [PERIOD]
vivacious [IMPLY] agreeable [PERIOD]
distinct [AND] curious [IMPLY] diplomatic [PERIOD]
homely [IMPLY] curious [PERIOD]
silly [AND] cute [AND] long [IMPLY] combative [PERIOD]
popular [AND] combative [AND] tame [IMPLY] shy [PERIOD]
muddy [AND] average [IMPLY] bright [PERIOD]
muddy [IMPLY] vivacious [PERIOD]
vivacious [AND] sleepy [AND] combative [IMPLY] dishonest [PERIOD]
muddy [IMPLY] homely [PERIOD]
homely [IMPLY] popular [PERIOD]
sleepy [IMPLY] long [PERIOD]
bright [AND] homely [IMPLY] distinct [PERIOD]
silly [AND] intellectual [AND] shy [IMPLY] average [PERIOD]
intellectual [IMPLY] muddy [PERIOD]
long [AND] silly [AND] tidy [IMPLY] muddy [PERIOD]
homely [IMPLY] tidy [PERIOD]
sleepy [AND] intellectual [IMPLY] popular [PERIOD]
long [IMPLY] shy [PERIOD]
vivacious [AND] long [IMPLY] tidy [PERIOD]
muddy [IMPLY] agreeable [PERIOD]
tidy [IMPLY] combative [PERIOD]
curious [AND] agreeable [IMPLY] popular [PERIOD]
dull [AND] silly [AND] average [IMPLY] intellectual [PERIOD]
intellectual [AND] bright [AND] vivacious [IMPLY] agreeable [PERIOD]
sleepy [AND] tame [AND] silly [IMPLY] average [PERIOD]
enchanting [AND] cute [AND] dull [IMPLY] homely [PERIOD]
vivacious [AND] silly [AND] bright [IMPLY] average [PERIOD]
tidy [IMPLY] curious [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   Cannot apply rule “enchanting ∧ homely ⇒ tidy” because missing: enchanting, homely.
   Cannot apply rule “bright ∧ intellectual ∧ shy ⇒ tidy” because missing: bright, intellectual, shy.
   Cannot apply rule “homely ⇒ tidy” because missing: homely.
   Cannot apply rule “vivacious ∧ long ⇒ tidy” because missing: vivacious, long.
",0,4
"Facts:  Alice is homely [PERIOD] Alice is confident [PERIOD] Alice is bored [PERIOD] Alice is clean [PERIOD] Alice is inquisitive [PERIOD]
Rules:
clean [IMPLY] selfish [PERIOD]
helpless [AND] shiny [AND] light [IMPLY] confident [PERIOD]
broad-minded [AND] good [AND] inquisitive [IMPLY] hilarious [PERIOD]
good [AND] clean [AND] zealous [IMPLY] fragile [PERIOD]
inquisitive [AND] broad-minded [IMPLY] clean [PERIOD]
fragile [AND] smart [AND] clean [IMPLY] selfish [PERIOD]
cute [AND] zealous [IMPLY] fancy [PERIOD]
broad-minded [AND] enchanting [AND] light [IMPLY] smart [PERIOD]
fragile [AND] hilarious [IMPLY] cute [PERIOD]
enchanting [AND] bored [AND] zealous [IMPLY] clean [PERIOD]
fancy [AND] helpless [AND] hilarious [IMPLY] anxious [PERIOD]
zealous [IMPLY] confident [PERIOD]
busy [AND] shiny [IMPLY] helpless [PERIOD]
enchanting [IMPLY] bored [PERIOD]
bored [AND] homely [IMPLY] mysterious [PERIOD]
smart [AND] rude [IMPLY] hilarious [PERIOD]
busy [AND] selfish [IMPLY] confident [PERIOD]
light [AND] confident [AND] homely [IMPLY] clean [PERIOD]
fancy [AND] rude [IMPLY] fragile [PERIOD]
smart [AND] broad-minded [IMPLY] mysterious [PERIOD]
clean [IMPLY] smart [PERIOD]
cute [IMPLY] helpless [PERIOD]
fragile [AND] shiny [AND] selfish [IMPLY] homely [PERIOD]
cute [AND] good [IMPLY] shiny [PERIOD]
shiny [IMPLY] enchanting [PERIOD]
enchanting [AND] mysterious [AND] zealous [IMPLY] hilarious [PERIOD]
anxious [IMPLY] broad-minded [PERIOD]
enchanting [AND] fancy [AND] cute [IMPLY] bored [PERIOD]
light [AND] homely [IMPLY] cute [PERIOD]
inquisitive [IMPLY] hilarious [PERIOD]
shiny [IMPLY] smart [PERIOD]
homely [AND] anxious [IMPLY] fancy [PERIOD]
light [AND] smart [IMPLY] shiny [PERIOD]
bored [AND] mysterious [AND] anxious [IMPLY] clean [PERIOD]
anxious [IMPLY] cute [PERIOD]
shiny [AND] selfish [IMPLY] broad-minded [PERIOD]
bored [AND] rude [IMPLY] selfish [PERIOD]
confident [AND] broad-minded [AND] hilarious [IMPLY] cute [PERIOD]
busy [AND] rude [IMPLY] cute [PERIOD]
clean [AND] selfish [AND] bored [IMPLY] hilarious [PERIOD]
anxious [AND] cute [AND] enchanting [IMPLY] hilarious [PERIOD]
selfish [IMPLY] rude [PERIOD]
busy [IMPLY] cute [PERIOD]
good [AND] cute [AND] zealous [IMPLY] shiny [PERIOD]
helpless [AND] smart [AND] hilarious [IMPLY] light [PERIOD]
inquisitive [IMPLY] cute [PERIOD]
zealous [AND] light [AND] bored [IMPLY] busy [PERIOD]
shiny [IMPLY] homely [PERIOD]
helpless [AND] broad-minded [IMPLY] light [PERIOD]
shiny [AND] zealous [IMPLY] mysterious [PERIOD]
light [IMPLY] busy [PERIOD]
enchanting [IMPLY] confident [PERIOD]
hilarious [IMPLY] bored [PERIOD]
homely [AND] selfish [AND] zealous [IMPLY] light [PERIOD]
bored [IMPLY] smart [PERIOD]
cute [AND] fragile [IMPLY] zealous [PERIOD]
hilarious [AND] enchanting [IMPLY] helpless [PERIOD]
broad-minded [AND] busy [IMPLY] good [PERIOD]
enchanting [AND] homely [IMPLY] fragile [PERIOD]
selfish [AND] busy [AND] smart [IMPLY] light [PERIOD]
clean [IMPLY] rude [PERIOD]
broad-minded [IMPLY] clean [PERIOD]
fragile [AND] smart [IMPLY] bored [PERIOD]
busy [AND] enchanting [AND] clean [IMPLY] selfish [PERIOD]
bored [AND] rude [AND] zealous [IMPLY] smart [PERIOD]
smart [AND] good [IMPLY] anxious [PERIOD]
rude [AND] fragile [AND] fancy [IMPLY] helpless [PERIOD]
zealous [IMPLY] mysterious [PERIOD]
busy [AND] fragile [AND] cute [IMPLY] hilarious [PERIOD]
shiny [IMPLY] rude [PERIOD]
clean [AND] light [IMPLY] selfish [PERIOD]
light [IMPLY] broad-minded [PERIOD]
confident [AND] smart [IMPLY] broad-minded [PERIOD]
confident [AND] light [AND] busy [IMPLY] inquisitive [PERIOD]
homely [IMPLY] bored [PERIOD]
light [AND] homely [IMPLY] enchanting [PERIOD]
helpless [AND] cute [AND] good [IMPLY] light [PERIOD]
homely [AND] clean [IMPLY] fragile [PERIOD]
selfish [AND] shiny [IMPLY] anxious [PERIOD]
smart [AND] zealous [AND] confident [IMPLY] bored [PERIOD]
good [IMPLY] cute [PERIOD]
fragile [IMPLY] cute [PERIOD]
fancy [IMPLY] cute [PERIOD]
selfish [AND] fragile [IMPLY] hilarious [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   inquisitive ⇒ cute
   cute ⇒ helpless
   bored ⇒ smart
   inquisitive ⇒ hilarious
   helpless ∧ smart ∧ hilarious ⇒ light
",1,5
"Facts:  Alice is joyous [PERIOD] Alice is weary [PERIOD] Alice is wandering [PERIOD]
Rules:
good [AND] ugly [AND] frantic [IMPLY] nervous [PERIOD]
amused [IMPLY] witty [PERIOD]
lonely [IMPLY] weary [PERIOD]
frightened [AND] dull [IMPLY] amused [PERIOD]
worried [AND] dishonest [AND] different [IMPLY] frantic [PERIOD]
horrible [IMPLY] straightforward [PERIOD]
unpleasant [AND] adorable [IMPLY] frantic [PERIOD]
perfect [AND] straightforward [AND] joyous [IMPLY] nervous [PERIOD]
frightened [AND] silly [AND] horrible [IMPLY] good [PERIOD]
good [AND] silly [AND] agreeable [IMPLY] perfect [PERIOD]
muddy [AND] joyous [IMPLY] dull [PERIOD]
busy [IMPLY] dull [PERIOD]
wandering [IMPLY] dull [PERIOD]
frantic [IMPLY] dishonest [PERIOD]
agreeable [IMPLY] different [PERIOD]
adorable [AND] good [AND] witty [IMPLY] joyous [PERIOD]
silly [IMPLY] anxious [PERIOD]
light [IMPLY] straightforward [PERIOD]
dishonest [IMPLY] agreeable [PERIOD]
different [AND] agreeable [AND] ugly [IMPLY] shy [PERIOD]
combative [IMPLY] shy [PERIOD]
witty [AND] frantic [IMPLY] straightforward [PERIOD]
lonely [AND] straightforward [IMPLY] muddy [PERIOD]
silly [AND] witty [IMPLY] wandering [PERIOD]
joyous [IMPLY] weary [PERIOD]
witty [IMPLY] agreeable [PERIOD]
muddy [AND] worried [IMPLY] agreeable [PERIOD]
dishonest [AND] weary [AND] wandering [IMPLY] joyous [PERIOD]
nervous [AND] dull [IMPLY] combative [PERIOD]
straightforward [AND] horrible [IMPLY] shy [PERIOD]
dishonest [IMPLY] nervous [PERIOD]
nervous [AND] amused [IMPLY] busy [PERIOD]
muddy [AND] witty [AND] hilarious [IMPLY] good [PERIOD]
anxious [IMPLY] amused [PERIOD]
frightened [AND] worried [IMPLY] silly [PERIOD]
amused [AND] weary [IMPLY] joyous [PERIOD]
dishonest [AND] nervous [AND] witty [IMPLY] weary [PERIOD]
frightened [AND] hilarious [IMPLY] horrible [PERIOD]
straightforward [AND] busy [IMPLY] frantic [PERIOD]
lonely [AND] agreeable [AND] unpleasant [IMPLY] worried [PERIOD]
shy [AND] different [IMPLY] adorable [PERIOD]
busy [AND] combative [IMPLY] lonely [PERIOD]
silly [IMPLY] frightened [PERIOD]
combative [AND] enchanting [AND] horrible [IMPLY] adorable [PERIOD]
wandering [AND] nervous [IMPLY] ugly [PERIOD]
frightened [AND] different [AND] adorable [IMPLY] horrible [PERIOD]
worried [IMPLY] lonely [PERIOD]
frantic [IMPLY] straightforward [PERIOD]
perfect [AND] dull [AND] different [IMPLY] muddy [PERIOD]
nervous [AND] different [IMPLY] worried [PERIOD]
wandering [AND] adorable [IMPLY] dull [PERIOD]
worried [AND] lonely [IMPLY] wandering [PERIOD]
different [AND] frightened [AND] straightforward [IMPLY] busy [PERIOD]
silly [IMPLY] dishonest [PERIOD]
shy [IMPLY] different [PERIOD]
ugly [IMPLY] witty [PERIOD]
shy [IMPLY] agreeable [PERIOD]
shy [AND] wandering [AND] frantic [IMPLY] anxious [PERIOD]
dull [AND] weary [IMPLY] dishonest [PERIOD]
shy [AND] dull [AND] horrible [IMPLY] weary [PERIOD]
weary [IMPLY] good [PERIOD]
weary [AND] worried [IMPLY] straightforward [PERIOD]
light [AND] frantic [AND] busy [IMPLY] adorable [PERIOD]
good [AND] dull [IMPLY] wandering [PERIOD]
busy [AND] wandering [AND] horrible [IMPLY] shy [PERIOD]
frightened [IMPLY] frantic [PERIOD]
shy [IMPLY] unpleasant [PERIOD]
different [IMPLY] lonely [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   wandering ⇒ dull
   dull ∧ weary ⇒ dishonest
   dishonest ⇒ nervous
   wandering ⇒ dull
   nervous ∧ dull ⇒ combative
   combative ⇒ shy
   shy ⇒ unpleasant
",1,7
"Facts:  Alice is grumpy [PERIOD] Alice is sincere [PERIOD]
Rules:
helpful [AND] messy [AND] plain [IMPLY] sincere [PERIOD]
sincere [IMPLY] loving [PERIOD]
sincere [AND] plain [AND] tired [IMPLY] grumpy [PERIOD]
mean [AND] sincere [IMPLY] grumpy [PERIOD]
helpful [AND] combative [IMPLY] sincere [PERIOD]
mean [IMPLY] sincere [PERIOD]
messy [AND] sincere [AND] mean [IMPLY] helpful [PERIOD]
loving [AND] mean [IMPLY] beautiful [PERIOD]
sincere [IMPLY] helpful [PERIOD]
plain [IMPLY] helpful [PERIOD]
sincere [AND] combative [IMPLY] loving [PERIOD]
messy [AND] beautiful [IMPLY] loving [PERIOD]
grumpy [AND] plain [AND] loving [IMPLY] mean [PERIOD]
tired [IMPLY] messy [PERIOD]
beautiful [AND] loving [AND] sincere [IMPLY] messy [PERIOD]
sincere [AND] tired [AND] beautiful [IMPLY] helpful [PERIOD]
plain [AND] messy [IMPLY] tired [PERIOD]
mean [AND] plain [IMPLY] tired [PERIOD]
plain [AND] messy [AND] mean [IMPLY] combative [PERIOD]
helpful [AND] tired [IMPLY] grumpy [PERIOD]
helpful [IMPLY] messy [PERIOD]
helpful [AND] tired [AND] messy [IMPLY] beautiful [PERIOD]
tired [AND] sincere [IMPLY] grumpy [PERIOD]
tired [IMPLY] beautiful [PERIOD]
helpful [IMPLY] tired [PERIOD]
tired [IMPLY] combative [PERIOD]
plain [AND] helpful [AND] combative [IMPLY] beautiful [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   sincere ⇒ helpful
   sincere ⇒ helpful
   helpful ⇒ tired
   sincere ⇒ helpful
   helpful ⇒ messy
   helpful ∧ tired ∧ messy ⇒ beautiful
",1,6
"Facts:  Alice is outstanding [PERIOD] Alice is beautiful [PERIOD] Alice is tired [PERIOD] Alice is attractive [PERIOD] Alice is supportive [PERIOD] Alice is versatile [PERIOD] Alice is gorgeous [PERIOD] Alice is vivacious [PERIOD] Alice is thoughtless [PERIOD] Alice is ugly [PERIOD] Alice is disgusted [PERIOD] Alice is cute [PERIOD]
Rules:
tense [IMPLY] gleaming [PERIOD]
rude [AND] weary [AND] impatient [IMPLY] thoughtless [PERIOD]
mysterious [AND] aggressive [AND] outstanding [IMPLY] cute [PERIOD]
gleaming [AND] aggressive [IMPLY] impatient [PERIOD]
impatient [AND] mysterious [IMPLY] ugly [PERIOD]
cute [AND] thoughtless [AND] shiny [IMPLY] gorgeous [PERIOD]
impartial [AND] shiny [AND] famous [IMPLY] supportive [PERIOD]
aggressive [AND] ugly [IMPLY] gleaming [PERIOD]
rational [AND] tense [AND] jittery [IMPLY] cute [PERIOD]
tense [AND] aggressive [AND] gleaming [IMPLY] rude [PERIOD]
innocent [AND] attractive [AND] rational [IMPLY] disgusted [PERIOD]
thoughtless [AND] rude [IMPLY] weary [PERIOD]
tired [IMPLY] attractive [PERIOD]
thoughtless [AND] attractive [IMPLY] average [PERIOD]
popular [AND] gorgeous [AND] diplomatic [IMPLY] jittery [PERIOD]
tense [AND] beautiful [IMPLY] average [PERIOD]
diplomatic [AND] ugly [AND] rude [IMPLY] mysterious [PERIOD]
disgusted [IMPLY] thoughtless [PERIOD]
mysterious [AND] rude [IMPLY] famous [PERIOD]
diplomatic [IMPLY] versatile [PERIOD]
beautiful [IMPLY] ugly [PERIOD]
innocent [AND] diplomatic [IMPLY] rude [PERIOD]
popular [IMPLY] thoughtless [PERIOD]
diplomatic [AND] supportive [AND] rude [IMPLY] shiny [PERIOD]
tense [AND] outstanding [IMPLY] shiny [PERIOD]
jittery [AND] diplomatic [IMPLY] cute [PERIOD]
gorgeous [AND] versatile [IMPLY] popular [PERIOD]
rude [AND] vivacious [IMPLY] tense [PERIOD]
innocent [AND] rude [IMPLY] jittery [PERIOD]
beautiful [AND] vivacious [IMPLY] innocent [PERIOD]
mysterious [AND] popular [AND] thoughtless [IMPLY] gleaming [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   Cannot apply rule “diplomatic ∧ supportive ∧ rude ⇒ shiny” because missing: diplomatic, rude.
   Cannot apply rule “tense ∧ outstanding ⇒ shiny” because missing: tense.
",0,2
"Facts:  Alice is clumsy [PERIOD]
Rules:
talented [IMPLY] sincere [PERIOD]
clumsy [AND] sincere [IMPLY] dull [PERIOD]
dull [IMPLY] talented [PERIOD]
sincere [AND] enchanting [AND] clumsy [IMPLY] dull [PERIOD]
clumsy [AND] enchanting [IMPLY] dull [PERIOD]
enchanting [AND] clumsy [AND] sincere [IMPLY] talented [PERIOD]
dull [AND] clumsy [IMPLY] sincere [PERIOD]
enchanting [IMPLY] dull [PERIOD]
dull [AND] enchanting [IMPLY] talented [PERIOD]
enchanting [IMPLY] sincere [PERIOD]
enchanting [AND] talented [IMPLY] sincere [PERIOD]
enchanting [AND] talented [IMPLY] clumsy [PERIOD]
enchanting [AND] talented [AND] clumsy [IMPLY] sincere [PERIOD]
talented [AND] dull [IMPLY] sincere [PERIOD]
sincere [IMPLY] enchanting [PERIOD]
talented [AND] dull [IMPLY] enchanting [PERIOD]
enchanting [AND] sincere [AND] talented [IMPLY] clumsy [PERIOD]
Query: Alice is dull [PERIOD]","Proof chain:
   Cannot apply rule “clumsy ∧ sincere ⇒ dull” because missing: sincere.
   Cannot apply rule “sincere ∧ enchanting ∧ clumsy ⇒ dull” because missing: sincere, enchanting.
   Cannot apply rule “clumsy ∧ enchanting ⇒ dull” because missing: enchanting.
   Cannot apply rule “enchanting ⇒ dull” because missing: enchanting.
",0,4
"Facts: 
Rules:
messy [AND] stormy [AND] fragile [IMPLY] impartial [PERIOD]
impartial [AND] messy [AND] muddy [IMPLY] easy [PERIOD]
messy [IMPLY] fragile [PERIOD]
messy [AND] attentive [IMPLY] talented [PERIOD]
fragile [AND] easy [AND] attentive [IMPLY] old-fashioned [PERIOD]
stormy [AND] talented [AND] sensible [IMPLY] messy [PERIOD]
fragile [AND] witty [IMPLY] messy [PERIOD]
fragile [AND] dishonest [IMPLY] old-fashioned [PERIOD]
impartial [AND] talented [AND] old-fashioned [IMPLY] muddy [PERIOD]
pessimistic [AND] muddy [IMPLY] witty [PERIOD]
pessimistic [AND] stormy [IMPLY] fragile [PERIOD]
sensible [AND] fragile [IMPLY] witty [PERIOD]
sensible [IMPLY] witty [PERIOD]
old-fashioned [IMPLY] stormy [PERIOD]
witty [IMPLY] muddy [PERIOD]
pessimistic [AND] messy [IMPLY] witty [PERIOD]
old-fashioned [AND] dishonest [AND] attentive [IMPLY] easy [PERIOD]
old-fashioned [AND] attentive [IMPLY] stormy [PERIOD]
old-fashioned [IMPLY] pessimistic [PERIOD]
messy [AND] dishonest [IMPLY] easy [PERIOD]
attentive [IMPLY] easy [PERIOD]
stormy [AND] pessimistic [IMPLY] old-fashioned [PERIOD]
messy [AND] talented [IMPLY] easy [PERIOD]
dishonest [AND] old-fashioned [IMPLY] attentive [PERIOD]
talented [IMPLY] dishonest [PERIOD]
pessimistic [IMPLY] attentive [PERIOD]
attentive [AND] sensible [IMPLY] pessimistic [PERIOD]
impartial [AND] muddy [AND] easy [IMPLY] pessimistic [PERIOD]
talented [AND] messy [AND] sensible [IMPLY] dishonest [PERIOD]
witty [AND] dishonest [IMPLY] pessimistic [PERIOD]
impartial [AND] stormy [IMPLY] attentive [PERIOD]
messy [AND] dishonest [IMPLY] impartial [PERIOD]
muddy [AND] fragile [AND] impartial [IMPLY] stormy [PERIOD]
pessimistic [IMPLY] impartial [PERIOD]
impartial [AND] old-fashioned [AND] easy [IMPLY] talented [PERIOD]
messy [IMPLY] old-fashioned [PERIOD]
sensible [AND] muddy [AND] impartial [IMPLY] attentive [PERIOD]
easy [AND] pessimistic [AND] old-fashioned [IMPLY] messy [PERIOD]
talented [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] pessimistic [AND] witty [IMPLY] easy [PERIOD]
sensible [AND] pessimistic [IMPLY] easy [PERIOD]
sensible [AND] old-fashioned [AND] stormy [IMPLY] talented [PERIOD]
attentive [AND] muddy [IMPLY] messy [PERIOD]
stormy [AND] witty [AND] impartial [IMPLY] pessimistic [PERIOD]
fragile [AND] witty [IMPLY] impartial [PERIOD]
sensible [AND] attentive [AND] pessimistic [IMPLY] muddy [PERIOD]
stormy [AND] messy [IMPLY] easy [PERIOD]
dishonest [IMPLY] pessimistic [PERIOD]
pessimistic [IMPLY] sensible [PERIOD]
fragile [AND] messy [IMPLY] witty [PERIOD]
witty [AND] sensible [IMPLY] stormy [PERIOD]
pessimistic [IMPLY] muddy [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   Cannot apply rule “fragile ∧ easy ∧ attentive ⇒ old-fashioned” because missing: fragile, easy, attentive.
   Cannot apply rule “fragile ∧ dishonest ⇒ old-fashioned” because missing: fragile, dishonest.
   Cannot apply rule “stormy ∧ pessimistic ⇒ old-fashioned” because missing: stormy, pessimistic.
   Cannot apply rule “messy ⇒ old-fashioned” because missing: messy.
   Cannot apply rule “talented ⇒ old-fashioned” because missing: talented.
",0,5
"Facts:  Alice is cruel [PERIOD] Alice is curious [PERIOD] Alice is frightened [PERIOD]
Rules:
clumsy [AND] agreeable [AND] modern [IMPLY] popular [PERIOD]
difficult [IMPLY] horrible [PERIOD]
difficult [AND] talented [IMPLY] thoughtful [PERIOD]
fancy [IMPLY] quaint [PERIOD]
outrageous [AND] frightened [IMPLY] thoughtful [PERIOD]
clumsy [AND] alert [IMPLY] cruel [PERIOD]
gifted [IMPLY] curious [PERIOD]
fancy [IMPLY] shy [PERIOD]
thoughtful [AND] fancy [AND] outrageous [IMPLY] clumsy [PERIOD]
worrisome [AND] talented [AND] curious [IMPLY] horrible [PERIOD]
cruel [IMPLY] fancy [PERIOD]
busy [IMPLY] talented [PERIOD]
outrageous [AND] shy [IMPLY] difficult [PERIOD]
thoughtful [AND] popular [AND] quaint [IMPLY] modern [PERIOD]
thoughtful [AND] bad-tempered [IMPLY] fancy [PERIOD]
outrageous [IMPLY] zealous [PERIOD]
zealous [AND] bad-tempered [IMPLY] quaint [PERIOD]
fancy [AND] sleepy [AND] popular [IMPLY] outrageous [PERIOD]
clumsy [IMPLY] shy [PERIOD]
weary [AND] worrisome [IMPLY] fancy [PERIOD]
sleepy [AND] quaint [AND] difficult [IMPLY] alert [PERIOD]
busy [AND] agreeable [AND] gifted [IMPLY] cruel [PERIOD]
quaint [IMPLY] outrageous [PERIOD]
zealous [AND] curious [AND] outrageous [IMPLY] clumsy [PERIOD]
thoughtful [AND] modern [AND] sleepy [IMPLY] quaint [PERIOD]
difficult [AND] fancy [AND] alert [IMPLY] shy [PERIOD]
horrible [IMPLY] busy [PERIOD]
frightened [IMPLY] popular [PERIOD]
shy [AND] weary [IMPLY] talented [PERIOD]
difficult [IMPLY] cruel [PERIOD]
worrisome [AND] blushing [IMPLY] bad-tempered [PERIOD]
shy [IMPLY] bad-tempered [PERIOD]
horrible [IMPLY] weary [PERIOD]
bad-tempered [IMPLY] busy [PERIOD]
agreeable [AND] talented [IMPLY] witty [PERIOD]
quaint [IMPLY] fancy [PERIOD]
frightened [AND] worrisome [AND] curious [IMPLY] difficult [PERIOD]
worrisome [AND] zealous [IMPLY] alert [PERIOD]
frightened [AND] cruel [AND] agreeable [IMPLY] sleepy [PERIOD]
busy [AND] quaint [AND] difficult [IMPLY] weary [PERIOD]
blushing [AND] horrible [AND] outrageous [IMPLY] difficult [PERIOD]
quaint [IMPLY] curious [PERIOD]
fancy [IMPLY] cruel [PERIOD]
agreeable [AND] worrisome [AND] fancy [IMPLY] weary [PERIOD]
weary [IMPLY] talented [PERIOD]
curious [AND] weary [AND] fancy [IMPLY] cruel [PERIOD]
zealous [IMPLY] talented [PERIOD]
zealous [IMPLY] popular [PERIOD]
cruel [IMPLY] difficult [PERIOD]
worried [AND] outrageous [IMPLY] sleepy [PERIOD]
disobedient [AND] zealous [IMPLY] horrible [PERIOD]
clumsy [IMPLY] alert [PERIOD]
blushing [AND] modern [AND] witty [IMPLY] agreeable [PERIOD]
busy [AND] worrisome [AND] shy [IMPLY] bad-tempered [PERIOD]
fancy [AND] zealous [AND] quaint [IMPLY] horrible [PERIOD]
shy [AND] popular [AND] frightened [IMPLY] clumsy [PERIOD]
worrisome [AND] clumsy [IMPLY] modern [PERIOD]
weary [AND] worried [AND] sleepy [IMPLY] zealous [PERIOD]
bad-tempered [AND] worried [IMPLY] curious [PERIOD]
outrageous [AND] cruel [AND] bad-tempered [IMPLY] busy [PERIOD]
zealous [AND] worrisome [AND] cruel [IMPLY] outrageous [PERIOD]
quaint [AND] bad-tempered [AND] sleepy [IMPLY] frightened [PERIOD]
witty [AND] curious [AND] clumsy [IMPLY] weary [PERIOD]
cruel [AND] witty [IMPLY] difficult [PERIOD]
worrisome [AND] quaint [IMPLY] weary [PERIOD]
sleepy [AND] zealous [AND] blushing [IMPLY] modern [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   cruel ⇒ fancy
   fancy ⇒ shy
   shy ⇒ bad-tempered
",1,3
"Facts:  Alice is comfortable [PERIOD]
Rules:
precious [AND] mysterious [AND] dishonest [IMPLY] tender [PERIOD]
dishonest [AND] inexpensive [AND] gifted [IMPLY] disobedient [PERIOD]
fearless [IMPLY] fragile [PERIOD]
disobedient [AND] sincere [IMPLY] fearless [PERIOD]
inexpensive [AND] wrong [AND] mysterious [IMPLY] weary [PERIOD]
dishonest [AND] attentive [IMPLY] inexpensive [PERIOD]
stormy [IMPLY] bad-tempered [PERIOD]
dishonest [AND] tender [IMPLY] inexpensive [PERIOD]
tender [AND] comfortable [AND] lucky [IMPLY] shiny [PERIOD]
wrong [AND] inexpensive [IMPLY] alert [PERIOD]
inexpensive [AND] disobedient [IMPLY] naughty [PERIOD]
precious [IMPLY] shiny [PERIOD]
agreeable [IMPLY] alert [PERIOD]
comfortable [AND] disobedient [IMPLY] fragile [PERIOD]
inexpensive [IMPLY] precious [PERIOD]
curious [AND] tender [AND] dishonest [IMPLY] precious [PERIOD]
sincere [AND] bad-tempered [IMPLY] weary [PERIOD]
comfortable [IMPLY] mysterious [PERIOD]
disobedient [AND] bad-tempered [IMPLY] tender [PERIOD]
mysterious [IMPLY] inexpensive [PERIOD]
alert [AND] shiny [AND] weary [IMPLY] lucky [PERIOD]
gifted [IMPLY] attentive [PERIOD]
alert [AND] shiny [AND] dishonest [IMPLY] comfortable [PERIOD]
mysterious [AND] uptight [AND] inexpensive [IMPLY] agreeable [PERIOD]
uptight [IMPLY] weary [PERIOD]
curious [IMPLY] lucky [PERIOD]
shiny [AND] stormy [AND] lucky [IMPLY] wrong [PERIOD]
precious [AND] dishonest [AND] inexpensive [IMPLY] gifted [PERIOD]
fearless [IMPLY] stormy [PERIOD]
attentive [AND] agreeable [IMPLY] mysterious [PERIOD]
attentive [IMPLY] sincere [PERIOD]
precious [AND] bad-tempered [AND] sincere [IMPLY] mysterious [PERIOD]
shiny [AND] inexpensive [AND] comfortable [IMPLY] wrong [PERIOD]
fearless [AND] wrong [IMPLY] lucky [PERIOD]
wrong [AND] frightened [AND] curious [IMPLY] inexpensive [PERIOD]
disobedient [IMPLY] bad-tempered [PERIOD]
curious [IMPLY] fragile [PERIOD]
curious [AND] mysterious [IMPLY] fragile [PERIOD]
precious [AND] tender [IMPLY] inexpensive [PERIOD]
disobedient [AND] mysterious [IMPLY] fragile [PERIOD]
lucky [AND] bad-tempered [IMPLY] gifted [PERIOD]
alert [AND] wrong [AND] sincere [IMPLY] bad-tempered [PERIOD]
tender [AND] dishonest [AND] weary [IMPLY] stormy [PERIOD]
frightened [IMPLY] bad-tempered [PERIOD]
gifted [IMPLY] sincere [PERIOD]
fragile [AND] frightened [IMPLY] mysterious [PERIOD]
tender [AND] fearless [IMPLY] precious [PERIOD]
dishonest [IMPLY] comfortable [PERIOD]
agreeable [AND] disobedient [IMPLY] uptight [PERIOD]
disobedient [IMPLY] tender [PERIOD]
alert [AND] curious [IMPLY] fragile [PERIOD]
bad-tempered [AND] shiny [IMPLY] comfortable [PERIOD]
wrong [AND] stormy [AND] alert [IMPLY] disobedient [PERIOD]
fragile [AND] weary [AND] frightened [IMPLY] attentive [PERIOD]
precious [AND] weary [IMPLY] attentive [PERIOD]
curious [IMPLY] comfortable [PERIOD]
inexpensive [IMPLY] weary [PERIOD]
bad-tempered [AND] mysterious [AND] wrong [IMPLY] comfortable [PERIOD]
precious [IMPLY] agreeable [PERIOD]
inexpensive [IMPLY] comfortable [PERIOD]
fearless [AND] sincere [IMPLY] bad-tempered [PERIOD]
lucky [IMPLY] uptight [PERIOD]
agreeable [AND] frightened [AND] disobedient [IMPLY] uptight [PERIOD]
alert [AND] stormy [IMPLY] uptight [PERIOD]
bad-tempered [AND] disobedient [AND] curious [IMPLY] mysterious [PERIOD]
comfortable [IMPLY] curious [PERIOD]
alert [AND] attentive [AND] disobedient [IMPLY] agreeable [PERIOD]
uptight [AND] weary [IMPLY] curious [PERIOD]
inexpensive [AND] frightened [AND] fragile [IMPLY] alert [PERIOD]
tender [AND] fragile [AND] lucky [IMPLY] uptight [PERIOD]
comfortable [IMPLY] inexpensive [PERIOD]
fearless [IMPLY] naughty [PERIOD]
stormy [IMPLY] curious [PERIOD]
gifted [AND] uptight [IMPLY] bad-tempered [PERIOD]
curious [IMPLY] weary [PERIOD]
frightened [AND] tender [AND] bad-tempered [IMPLY] shiny [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   comfortable ⇒ inexpensive
   inexpensive ⇒ precious
   comfortable ⇒ curious
   curious ⇒ weary
   precious ∧ weary ⇒ attentive
",1,5
"Facts:  Alice is worried [PERIOD] Alice is quaint [PERIOD]
Rules:
fragile [AND] confused [IMPLY] rude [PERIOD]
frantic [IMPLY] witty [PERIOD]
agreeable [IMPLY] enchanting [PERIOD]
helpful [AND] confused [IMPLY] attractive [PERIOD]
witty [AND] sincere [IMPLY] innocent [PERIOD]
attractive [AND] witty [IMPLY] fragile [PERIOD]
different [IMPLY] fragile [PERIOD]
clumsy [AND] sincere [AND] helpful [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] victorious [PERIOD]
sincere [IMPLY] different [PERIOD]
light [AND] agreeable [AND] clumsy [IMPLY] attractive [PERIOD]
frail [AND] frantic [AND] victorious [IMPLY] rude [PERIOD]
clumsy [AND] attractive [AND] victorious [IMPLY] enchanting [PERIOD]
quaint [AND] witty [AND] enchanting [IMPLY] frail [PERIOD]
innocent [IMPLY] frantic [PERIOD]
friendly [AND] worried [IMPLY] witty [PERIOD]
rude [AND] different [AND] attractive [IMPLY] sincere [PERIOD]
worried [AND] quaint [AND] witty [IMPLY] enchanting [PERIOD]
fragile [AND] rude [IMPLY] frail [PERIOD]
attractive [AND] worried [IMPLY] light [PERIOD]
frail [AND] enchanting [IMPLY] worried [PERIOD]
confused [AND] worried [IMPLY] frantic [PERIOD]
victorious [IMPLY] friendly [PERIOD]
sincere [IMPLY] light [PERIOD]
clumsy [AND] enchanting [IMPLY] sincere [PERIOD]
victorious [AND] light [IMPLY] clumsy [PERIOD]
frantic [IMPLY] quaint [PERIOD]
light [IMPLY] helpful [PERIOD]
confused [AND] witty [IMPLY] quaint [PERIOD]
friendly [IMPLY] helpful [PERIOD]
agreeable [AND] fragile [AND] friendly [IMPLY] confused [PERIOD]
witty [AND] friendly [IMPLY] quaint [PERIOD]
light [AND] fragile [IMPLY] agreeable [PERIOD]
different [AND] friendly [AND] confused [IMPLY] innocent [PERIOD]
sincere [AND] frail [IMPLY] confused [PERIOD]
agreeable [AND] different [AND] sincere [IMPLY] enchanting [PERIOD]
different [AND] frail [IMPLY] rude [PERIOD]
sincere [AND] light [AND] confused [IMPLY] different [PERIOD]
different [AND] clumsy [IMPLY] difficult [PERIOD]
light [AND] confused [IMPLY] victorious [PERIOD]
innocent [AND] quaint [IMPLY] worried [PERIOD]
agreeable [AND] frail [AND] rude [IMPLY] sincere [PERIOD]
quaint [AND] rude [IMPLY] confused [PERIOD]
attractive [AND] witty [IMPLY] frail [PERIOD]
enchanting [AND] worried [AND] attractive [IMPLY] difficult [PERIOD]
fragile [AND] frantic [IMPLY] enchanting [PERIOD]
witty [AND] agreeable [IMPLY] frail [PERIOD]
witty [AND] attractive [AND] confused [IMPLY] victorious [PERIOD]
different [AND] frail [IMPLY] attractive [PERIOD]
frail [IMPLY] clumsy [PERIOD]
agreeable [IMPLY] light [PERIOD]
innocent [IMPLY] fragile [PERIOD]
agreeable [AND] fragile [AND] victorious [IMPLY] difficult [PERIOD]
witty [IMPLY] innocent [PERIOD]
fragile [AND] helpful [AND] sincere [IMPLY] friendly [PERIOD]
confused [IMPLY] difficult [PERIOD]
agreeable [AND] helpful [IMPLY] difficult [PERIOD]
confused [IMPLY] victorious [PERIOD]
enchanting [AND] frail [AND] clumsy [IMPLY] quaint [PERIOD]
quaint [AND] frantic [IMPLY] agreeable [PERIOD]
difficult [AND] worried [IMPLY] innocent [PERIOD]
victorious [AND] fragile [AND] attractive [IMPLY] quaint [PERIOD]
sincere [AND] victorious [AND] different [IMPLY] light [PERIOD]
quaint [AND] fragile [IMPLY] victorious [PERIOD]
sincere [AND] frail [IMPLY] frantic [PERIOD]
helpful [IMPLY] rude [PERIOD]
attractive [IMPLY] fragile [PERIOD]
rude [AND] witty [AND] different [IMPLY] frail [PERIOD]
helpful [IMPLY] friendly [PERIOD]
fragile [IMPLY] difficult [PERIOD]
confused [AND] witty [AND] frail [IMPLY] clumsy [PERIOD]
worried [IMPLY] friendly [PERIOD]
worried [AND] different [IMPLY] frail [PERIOD]
rude [AND] clumsy [AND] enchanting [IMPLY] light [PERIOD]
Query: Alice is clumsy [PERIOD]","Proof chain:
   worried ⇒ friendly
   friendly ∧ worried ⇒ witty
   worried ⇒ friendly
   friendly ∧ worried ⇒ witty
   worried ∧ quaint ∧ witty ⇒ enchanting
   quaint ∧ witty ∧ enchanting ⇒ frail
   frail ⇒ clumsy
",1,7
"Facts:  Alice is thoughtful [PERIOD] Alice is tender [PERIOD] Alice is glamorous [PERIOD] Alice is embarrassed [PERIOD] Alice is nervous [PERIOD] Alice is cooperative [PERIOD] Alice is vivacious [PERIOD] Alice is bossy [PERIOD]
Rules:
worrisome [AND] anxious [AND] fine [IMPLY] thoughtful [PERIOD]
thoughtful [AND] beautiful [IMPLY] pessimistic [PERIOD]
thoughtful [AND] ugliest [AND] tense [IMPLY] charming [PERIOD]
ugliest [IMPLY] glamorous [PERIOD]
troubled [AND] worrisome [IMPLY] charming [PERIOD]
vivacious [AND] anxious [AND] horrible [IMPLY] muddy [PERIOD]
troubled [AND] careless [IMPLY] tender [PERIOD]
anxious [AND] thoughtful [IMPLY] ugliest [PERIOD]
muddy [IMPLY] vivacious [PERIOD]
mysterious [AND] charming [IMPLY] horrible [PERIOD]
wandering [IMPLY] worrisome [PERIOD]
thoughtful [IMPLY] worrisome [PERIOD]
charming [IMPLY] fine [PERIOD]
wandering [IMPLY] careless [PERIOD]
ugliest [AND] anxious [IMPLY] glamorous [PERIOD]
wandering [AND] adorable [AND] beautiful [IMPLY] muddy [PERIOD]
pessimistic [AND] troubled [IMPLY] vivacious [PERIOD]
wandering [AND] bossy [AND] vivacious [IMPLY] ugliest [PERIOD]
charming [IMPLY] bossy [PERIOD]
charming [AND] fine [IMPLY] cooperative [PERIOD]
charming [AND] nervous [IMPLY] horrible [PERIOD]
pessimistic [AND] glamorous [AND] careless [IMPLY] cooperative [PERIOD]
muddy [AND] thoughtful [IMPLY] adorable [PERIOD]
careless [AND] wandering [IMPLY] charming [PERIOD]
glamorous [AND] muddy [AND] vivacious [IMPLY] fine [PERIOD]
tense [AND] muddy [AND] worrisome [IMPLY] mysterious [PERIOD]
pessimistic [IMPLY] fine [PERIOD]
embarrassed [IMPLY] cooperative [PERIOD]
adorable [AND] glamorous [AND] horrible [IMPLY] muddy [PERIOD]
cooperative [IMPLY] careless [PERIOD]
careless [IMPLY] bossy [PERIOD]
worrisome [AND] careless [IMPLY] charming [PERIOD]
embarrassed [AND] nervous [AND] muddy [IMPLY] beautiful [PERIOD]
glamorous [AND] tense [IMPLY] mysterious [PERIOD]
vivacious [AND] troubled [IMPLY] muddy [PERIOD]
adorable [IMPLY] thoughtful [PERIOD]
vivacious [AND] beautiful [AND] pessimistic [IMPLY] tender [PERIOD]
worrisome [AND] pessimistic [AND] troubled [IMPLY] embarrassed [PERIOD]
anxious [AND] muddy [IMPLY] mysterious [PERIOD]
tense [IMPLY] embarrassed [PERIOD]
thoughtful [IMPLY] nervous [PERIOD]
fine [IMPLY] mysterious [PERIOD]
worrisome [AND] charming [AND] tender [IMPLY] troubled [PERIOD]
bossy [AND] mysterious [AND] troubled [IMPLY] worrisome [PERIOD]
tense [AND] bossy [IMPLY] embarrassed [PERIOD]
mysterious [AND] troubled [AND] embarrassed [IMPLY] careless [PERIOD]
troubled [IMPLY] embarrassed [PERIOD]
vivacious [IMPLY] glamorous [PERIOD]
mysterious [AND] pessimistic [IMPLY] careless [PERIOD]
worrisome [IMPLY] ugliest [PERIOD]
tense [IMPLY] mysterious [PERIOD]
thoughtful [AND] fine [AND] tense [IMPLY] careless [PERIOD]
adorable [AND] tender [IMPLY] nervous [PERIOD]
horrible [IMPLY] careless [PERIOD]
cooperative [AND] ugliest [IMPLY] tense [PERIOD]
pessimistic [AND] beautiful [IMPLY] adorable [PERIOD]
pessimistic [IMPLY] horrible [PERIOD]
anxious [IMPLY] tender [PERIOD]
troubled [AND] fine [IMPLY] bossy [PERIOD]
troubled [AND] adorable [IMPLY] vivacious [PERIOD]
charming [AND] glamorous [IMPLY] ugliest [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   thoughtful ⇒ worrisome
   thoughtful ⇒ worrisome
   cooperative ⇒ careless
   worrisome ∧ careless ⇒ charming
   worrisome ∧ charming ∧ tender ⇒ troubled
   vivacious ∧ troubled ⇒ muddy
   embarrassed ∧ nervous ∧ muddy ⇒ beautiful
",1,7
"Facts:  Alice is ugliest [PERIOD] Alice is courageous [PERIOD] Alice is long [PERIOD] Alice is stubborn [PERIOD] Alice is gifted [PERIOD] Alice is good [PERIOD] Alice is disgusted [PERIOD] Alice is tense [PERIOD] Alice is frantic [PERIOD]
Rules:
curious [AND] tense [AND] courageous [IMPLY] frantic [PERIOD]
disgusted [IMPLY] ugliest [PERIOD]
frantic [AND] disgusted [IMPLY] long [PERIOD]
stubborn [AND] good [IMPLY] tense [PERIOD]
disgusted [AND] frantic [IMPLY] good [PERIOD]
courageous [IMPLY] frantic [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is confident [PERIOD]
Rules:
confused [AND] clumsy [IMPLY] witty [PERIOD]
tender [AND] clean [IMPLY] friendly [PERIOD]
cruel [AND] muddy [AND] friendly [IMPLY] disgusted [PERIOD]
disgusted [AND] tender [AND] ambitious [IMPLY] impatient [PERIOD]
cruel [IMPLY] muddy [PERIOD]
muddy [IMPLY] cruel [PERIOD]
confident [AND] tender [AND] friendly [IMPLY] witty [PERIOD]
clean [AND] confident [IMPLY] witty [PERIOD]
muddy [IMPLY] confused [PERIOD]
ambitious [AND] disgusted [IMPLY] clumsy [PERIOD]
confident [AND] friendly [IMPLY] cruel [PERIOD]
tender [AND] friendly [AND] cruel [IMPLY] witty [PERIOD]
tender [AND] clumsy [AND] confused [IMPLY] muddy [PERIOD]
cruel [AND] ambitious [AND] confident [IMPLY] confused [PERIOD]
impatient [IMPLY] friendly [PERIOD]
impatient [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] ambitious [PERIOD]
confused [AND] friendly [AND] impatient [IMPLY] confident [PERIOD]
clumsy [AND] disgusted [AND] impatient [IMPLY] muddy [PERIOD]
clean [IMPLY] disgusted [PERIOD]
clean [AND] friendly [AND] impatient [IMPLY] witty [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   Cannot apply rule “cruel ⇒ muddy” because missing: cruel.
   Cannot apply rule “tender ∧ clumsy ∧ confused ⇒ muddy” because missing: tender, clumsy, confused.
   Cannot apply rule “clumsy ∧ disgusted ∧ impatient ⇒ muddy” because missing: clumsy, disgusted, impatient.
",0,3
"Facts: 
Rules:
fancy [AND] outrageous [IMPLY] agreeable [PERIOD]
plain [AND] agreeable [IMPLY] weary [PERIOD]
weary [AND] different [AND] shy [IMPLY] plain [PERIOD]
horrible [AND] wrong [AND] diplomatic [IMPLY] different [PERIOD]
shiny [AND] weary [IMPLY] different [PERIOD]
fancy [AND] witty [AND] diplomatic [IMPLY] wide-eyed [PERIOD]
agreeable [AND] wrong [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] different [PERIOD]
diplomatic [IMPLY] witty [PERIOD]
plain [AND] shy [AND] busy [IMPLY] wrong [PERIOD]
weary [AND] good [IMPLY] different [PERIOD]
wide-eyed [AND] outrageous [IMPLY] wrong [PERIOD]
long [AND] wide-eyed [AND] agreeable [IMPLY] outrageous [PERIOD]
horrible [AND] long [AND] fancy [IMPLY] outrageous [PERIOD]
good [IMPLY] different [PERIOD]
outrageous [IMPLY] good [PERIOD]
long [IMPLY] shy [PERIOD]
agreeable [IMPLY] witty [PERIOD]
plain [AND] wrong [IMPLY] cooperative [PERIOD]
horrible [IMPLY] fancy [PERIOD]
wide-eyed [AND] diplomatic [AND] witty [IMPLY] busy [PERIOD]
shiny [AND] outrageous [AND] wrong [IMPLY] busy [PERIOD]
weary [AND] plain [AND] different [IMPLY] cooperative [PERIOD]
weary [AND] good [AND] wrong [IMPLY] fancy [PERIOD]
outrageous [AND] shiny [AND] horrible [IMPLY] witty [PERIOD]
shy [IMPLY] fancy [PERIOD]
diplomatic [AND] good [AND] shy [IMPLY] horrible [PERIOD]
horrible [AND] fancy [IMPLY] cooperative [PERIOD]
outrageous [AND] long [AND] wrong [IMPLY] different [PERIOD]
plain [AND] fancy [IMPLY] diplomatic [PERIOD]
cooperative [IMPLY] weary [PERIOD]
wide-eyed [AND] long [IMPLY] agreeable [PERIOD]
shy [AND] shiny [IMPLY] good [PERIOD]
horrible [AND] shiny [AND] agreeable [IMPLY] long [PERIOD]
horrible [IMPLY] diplomatic [PERIOD]
long [IMPLY] witty [PERIOD]
diplomatic [AND] wrong [AND] shy [IMPLY] busy [PERIOD]
diplomatic [AND] outrageous [AND] wrong [IMPLY] cooperative [PERIOD]
plain [AND] different [AND] good [IMPLY] busy [PERIOD]
weary [AND] good [IMPLY] outrageous [PERIOD]
wrong [IMPLY] agreeable [PERIOD]
long [AND] outrageous [IMPLY] wide-eyed [PERIOD]
witty [IMPLY] cooperative [PERIOD]
outrageous [AND] plain [IMPLY] agreeable [PERIOD]
weary [AND] diplomatic [IMPLY] shy [PERIOD]
witty [IMPLY] different [PERIOD]
long [IMPLY] busy [PERIOD]
witty [IMPLY] good [PERIOD]
outrageous [IMPLY] agreeable [PERIOD]
plain [IMPLY] weary [PERIOD]
shiny [IMPLY] weary [PERIOD]
outrageous [IMPLY] diplomatic [PERIOD]
long [AND] horrible [IMPLY] cooperative [PERIOD]
shy [AND] different [IMPLY] horrible [PERIOD]
diplomatic [IMPLY] different [PERIOD]
cooperative [IMPLY] long [PERIOD]
different [AND] outrageous [IMPLY] busy [PERIOD]
weary [AND] plain [IMPLY] horrible [PERIOD]
good [AND] weary [AND] outrageous [IMPLY] different [PERIOD]
plain [IMPLY] different [PERIOD]
different [AND] long [IMPLY] plain [PERIOD]
plain [AND] shy [AND] diplomatic [IMPLY] different [PERIOD]
shy [AND] wide-eyed [AND] long [IMPLY] diplomatic [PERIOD]
Query: Alice is long [PERIOD]","Proof chain:
   Cannot apply rule “horrible ∧ shiny ∧ agreeable ⇒ long” because missing: horrible, shiny, agreeable.
   Cannot apply rule “cooperative ⇒ long” because missing: cooperative.
",0,2
"Facts: 
Rules:
ambitious [AND] zealous [AND] glamorous [IMPLY] curious [PERIOD]
scared [IMPLY] zealous [PERIOD]
condemned [AND] curious [AND] hilarious [IMPLY] confident [PERIOD]
glamorous [IMPLY] ambitious [PERIOD]
condemned [IMPLY] nervous [PERIOD]
helpless [IMPLY] scared [PERIOD]
hilarious [AND] scared [IMPLY] helpless [PERIOD]
nervous [AND] diplomatic [IMPLY] agreeable [PERIOD]
helpless [IMPLY] confident [PERIOD]
confident [AND] diplomatic [AND] nervous [IMPLY] helpless [PERIOD]
scared [IMPLY] nervous [PERIOD]
scared [AND] glamorous [AND] confident [IMPLY] ambitious [PERIOD]
zealous [AND] scared [IMPLY] inexpensive [PERIOD]
zealous [IMPLY] inexpensive [PERIOD]
attractive [IMPLY] condemned [PERIOD]
hilarious [AND] condemned [IMPLY] glamorous [PERIOD]
nervous [AND] condemned [IMPLY] ambitious [PERIOD]
zealous [AND] scared [AND] confident [IMPLY] diplomatic [PERIOD]
nervous [AND] diplomatic [IMPLY] helpless [PERIOD]
confident [AND] attractive [IMPLY] curious [PERIOD]
attractive [AND] ambitious [AND] zealous [IMPLY] glamorous [PERIOD]
ambitious [AND] scared [IMPLY] attractive [PERIOD]
condemned [AND] hilarious [IMPLY] diplomatic [PERIOD]
curious [AND] condemned [IMPLY] nervous [PERIOD]
scared [AND] hilarious [IMPLY] inexpensive [PERIOD]
nervous [IMPLY] diplomatic [PERIOD]
attractive [AND] helpless [IMPLY] curious [PERIOD]
scared [IMPLY] curious [PERIOD]
agreeable [IMPLY] diplomatic [PERIOD]
hilarious [AND] helpless [AND] zealous [IMPLY] inexpensive [PERIOD]
confident [IMPLY] nervous [PERIOD]
ambitious [IMPLY] zealous [PERIOD]
attractive [IMPLY] agreeable [PERIOD]
zealous [AND] ambitious [AND] nervous [IMPLY] agreeable [PERIOD]
curious [AND] nervous [IMPLY] ambitious [PERIOD]
glamorous [IMPLY] diplomatic [PERIOD]
nervous [AND] inexpensive [IMPLY] ambitious [PERIOD]
attractive [AND] helpless [AND] condemned [IMPLY] glamorous [PERIOD]
curious [IMPLY] glamorous [PERIOD]
agreeable [IMPLY] glamorous [PERIOD]
scared [AND] agreeable [AND] inexpensive [IMPLY] hilarious [PERIOD]
ambitious [AND] zealous [AND] scared [IMPLY] confident [PERIOD]
zealous [AND] helpless [IMPLY] attractive [PERIOD]
scared [AND] confident [IMPLY] condemned [PERIOD]
helpless [AND] ambitious [AND] glamorous [IMPLY] agreeable [PERIOD]
scared [AND] agreeable [AND] diplomatic [IMPLY] nervous [PERIOD]
diplomatic [AND] scared [AND] condemned [IMPLY] zealous [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   Cannot apply rule “nervous ∧ diplomatic ⇒ agreeable” because missing: nervous, diplomatic.
   Cannot apply rule “attractive ⇒ agreeable” because missing: attractive.
   Cannot apply rule “zealous ∧ ambitious ∧ nervous ⇒ agreeable” because missing: zealous, ambitious, nervous.
   Cannot apply rule “helpless ∧ ambitious ∧ glamorous ⇒ agreeable” because missing: helpless, ambitious, glamorous.
",0,4
"Facts: 
Rules:
clean [AND] dishonest [AND] tame [IMPLY] vivacious [PERIOD]
distinct [AND] clean [IMPLY] tame [PERIOD]
clean [AND] distinct [IMPLY] sleepy [PERIOD]
dishonest [AND] careless [IMPLY] distinct [PERIOD]
sleepy [IMPLY] vivacious [PERIOD]
dishonest [IMPLY] tame [PERIOD]
sleepy [IMPLY] distinct [PERIOD]
careless [AND] vivacious [IMPLY] tame [PERIOD]
embarrassed [AND] troubled [AND] vivacious [IMPLY] tame [PERIOD]
embarrassed [AND] troubled [AND] careless [IMPLY] distinct [PERIOD]
careless [IMPLY] troubled [PERIOD]
distinct [AND] careless [AND] embarrassed [IMPLY] tame [PERIOD]
vivacious [IMPLY] troubled [PERIOD]
troubled [IMPLY] sleepy [PERIOD]
tame [AND] sleepy [AND] embarrassed [IMPLY] clean [PERIOD]
sleepy [AND] tame [AND] troubled [IMPLY] dishonest [PERIOD]
troubled [AND] vivacious [AND] sleepy [IMPLY] dishonest [PERIOD]
distinct [IMPLY] tame [PERIOD]
troubled [IMPLY] distinct [PERIOD]
clean [AND] sleepy [IMPLY] dishonest [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   Cannot apply rule “distinct ∧ clean ⇒ tame” because missing: distinct, clean.
   Cannot apply rule “dishonest ⇒ tame” because missing: dishonest.
   Cannot apply rule “careless ∧ vivacious ⇒ tame” because missing: careless, vivacious.
   Cannot apply rule “embarrassed ∧ troubled ∧ vivacious ⇒ tame” because missing: embarrassed, troubled, vivacious.
   Cannot apply rule “distinct ∧ careless ∧ embarrassed ⇒ tame” because missing: distinct, careless, embarrassed.
   Cannot apply rule “distinct ⇒ tame” because missing: distinct.
",0,6
"Facts:  Alice is nervous [PERIOD] Alice is rational [PERIOD] Alice is tame [PERIOD] Alice is bright [PERIOD] Alice is pleasant [PERIOD] Alice is hypocritical [PERIOD] Alice is careless [PERIOD] Alice is quaint [PERIOD] Alice is tender [PERIOD] Alice is worried [PERIOD] Alice is light [PERIOD] Alice is polite [PERIOD] Alice is stupid [PERIOD]
Rules:
tender [IMPLY] tame [PERIOD]
quaint [AND] pleasant [IMPLY] glamorous [PERIOD]
glamorous [AND] quaint [AND] light [IMPLY] stupid [PERIOD]
rational [IMPLY] bright [PERIOD]
careless [AND] light [AND] tame [IMPLY] bright [PERIOD]
stupid [AND] glamorous [AND] worried [IMPLY] careless [PERIOD]
glamorous [AND] strange [IMPLY] quaint [PERIOD]
careless [AND] worried [IMPLY] light [PERIOD]
light [AND] tender [IMPLY] stupid [PERIOD]
polite [IMPLY] pleasant [PERIOD]
glamorous [AND] bright [AND] light [IMPLY] tame [PERIOD]
careless [AND] tender [AND] nervous [IMPLY] quaint [PERIOD]
quaint [AND] bright [AND] light [IMPLY] glamorous [PERIOD]
strange [AND] polite [AND] tame [IMPLY] hypocritical [PERIOD]
stupid [IMPLY] glamorous [PERIOD]
tame [AND] distinct [AND] worried [IMPLY] light [PERIOD]
tame [IMPLY] polite [PERIOD]
tame [AND] tender [IMPLY] polite [PERIOD]
light [AND] tame [AND] polite [IMPLY] worried [PERIOD]
distinct [AND] glamorous [AND] worried [IMPLY] careless [PERIOD]
pleasant [AND] quaint [IMPLY] tender [PERIOD]
worried [AND] stupid [IMPLY] bright [PERIOD]
hypocritical [AND] pleasant [AND] tame [IMPLY] polite [PERIOD]
nervous [AND] careless [IMPLY] strange [PERIOD]
distinct [AND] tender [IMPLY] stupid [PERIOD]
rational [AND] polite [IMPLY] glamorous [PERIOD]
distinct [IMPLY] polite [PERIOD]
tame [AND] strange [AND] careless [IMPLY] distinct [PERIOD]
strange [AND] distinct [IMPLY] pleasant [PERIOD]
pleasant [AND] hypocritical [IMPLY] quaint [PERIOD]
nervous [AND] bright [AND] quaint [IMPLY] polite [PERIOD]
bright [IMPLY] polite [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
gorgeous [AND] blushing [IMPLY] modern [PERIOD]
perfect [IMPLY] helpless [PERIOD]
condemned [IMPLY] precious [PERIOD]
attractive [AND] modern [AND] sincere [IMPLY] tidy [PERIOD]
nervous [AND] shiny [IMPLY] gorgeous [PERIOD]
outstanding [IMPLY] sincere [PERIOD]
condemned [IMPLY] helpless [PERIOD]
confident [AND] difficult [AND] sincere [IMPLY] outstanding [PERIOD]
difficult [IMPLY] blushing [PERIOD]
fancy [IMPLY] gifted [PERIOD]
difficult [IMPLY] gifted [PERIOD]
modern [IMPLY] outstanding [PERIOD]
gifted [AND] tidy [IMPLY] nervous [PERIOD]
precious [AND] condemned [IMPLY] perfect [PERIOD]
sincere [AND] attractive [IMPLY] blushing [PERIOD]
weary [AND] old-fashioned [AND] fancy [IMPLY] mysterious [PERIOD]
modern [AND] stupid [AND] confident [IMPLY] precious [PERIOD]
weary [AND] difficult [IMPLY] blushing [PERIOD]
selfish [AND] condemned [IMPLY] straightforward [PERIOD]
perfect [AND] nervous [AND] shiny [IMPLY] tidy [PERIOD]
perfect [AND] helpless [AND] attractive [IMPLY] precious [PERIOD]
fancy [IMPLY] perfect [PERIOD]
gorgeous [AND] helpless [IMPLY] condemned [PERIOD]
gorgeous [AND] fancy [AND] sincere [IMPLY] stupid [PERIOD]
fancy [IMPLY] stupid [PERIOD]
confident [AND] gorgeous [AND] helpless [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] perfect [AND] attractive [IMPLY] nervous [PERIOD]
straightforward [AND] mysterious [IMPLY] tidy [PERIOD]
perfect [AND] gorgeous [IMPLY] shiny [PERIOD]
selfish [AND] modern [IMPLY] straightforward [PERIOD]
nervous [AND] fancy [AND] selfish [IMPLY] shiny [PERIOD]
shiny [AND] confident [AND] attentive [IMPLY] outstanding [PERIOD]
nervous [IMPLY] shiny [PERIOD]
perfect [AND] straightforward [AND] nervous [IMPLY] weary [PERIOD]
modern [AND] confident [AND] blushing [IMPLY] condemned [PERIOD]
perfect [AND] helpless [AND] tidy [IMPLY] shiny [PERIOD]
gifted [AND] tidy [IMPLY] weary [PERIOD]
helpless [AND] mysterious [IMPLY] confident [PERIOD]
blushing [AND] confident [IMPLY] old-fashioned [PERIOD]
tidy [AND] gorgeous [AND] confident [IMPLY] blushing [PERIOD]
shiny [AND] difficult [AND] old-fashioned [IMPLY] gifted [PERIOD]
modern [AND] mysterious [IMPLY] straightforward [PERIOD]
old-fashioned [AND] gifted [IMPLY] perfect [PERIOD]
straightforward [IMPLY] precious [PERIOD]
nervous [AND] attentive [AND] sincere [IMPLY] weary [PERIOD]
tidy [IMPLY] shiny [PERIOD]
confident [IMPLY] attentive [PERIOD]
attractive [AND] attentive [AND] modern [IMPLY] mysterious [PERIOD]
nervous [AND] outstanding [IMPLY] precious [PERIOD]
selfish [IMPLY] outstanding [PERIOD]
difficult [AND] gorgeous [IMPLY] modern [PERIOD]
gorgeous [AND] difficult [AND] condemned [IMPLY] gifted [PERIOD]
outstanding [AND] attractive [IMPLY] helpless [PERIOD]
outstanding [AND] stupid [AND] helpless [IMPLY] mysterious [PERIOD]
modern [AND] perfect [IMPLY] sincere [PERIOD]
perfect [IMPLY] straightforward [PERIOD]
weary [AND] straightforward [AND] old-fashioned [IMPLY] nervous [PERIOD]
straightforward [IMPLY] shiny [PERIOD]
mysterious [AND] straightforward [AND] fancy [IMPLY] difficult [PERIOD]
outstanding [IMPLY] weary [PERIOD]
tidy [AND] confident [IMPLY] modern [PERIOD]
fancy [AND] blushing [AND] precious [IMPLY] stupid [PERIOD]
condemned [IMPLY] attentive [PERIOD]
selfish [AND] attentive [IMPLY] blushing [PERIOD]
attentive [AND] perfect [AND] tidy [IMPLY] difficult [PERIOD]
gorgeous [IMPLY] blushing [PERIOD]
selfish [AND] tidy [AND] gorgeous [IMPLY] shiny [PERIOD]
confident [AND] condemned [IMPLY] gifted [PERIOD]
shiny [AND] attentive [IMPLY] gorgeous [PERIOD]
attentive [AND] sincere [AND] confident [IMPLY] perfect [PERIOD]
perfect [AND] modern [AND] outstanding [IMPLY] gifted [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
   Cannot apply rule “condemned ⇒ precious” because missing: condemned.
   Cannot apply rule “modern ∧ stupid ∧ confident ⇒ precious” because missing: modern, stupid, confident.
   Cannot apply rule “perfect ∧ helpless ∧ attractive ⇒ precious” because missing: perfect, helpless, attractive.
   Cannot apply rule “straightforward ⇒ precious” because missing: straightforward.
   Cannot apply rule “nervous ∧ outstanding ⇒ precious” because missing: nervous, outstanding.
",0,5
"Facts:  Alice is ugliest [PERIOD] Alice is courageous [PERIOD] Alice is dull [PERIOD]
Rules:
cute [AND] excited [AND] dull [IMPLY] reserved [PERIOD]
tidy [IMPLY] thoughtless [PERIOD]
versatile [AND] sleepy [IMPLY] excited [PERIOD]
versatile [AND] courageous [AND] tidy [IMPLY] excited [PERIOD]
dull [AND] precious [IMPLY] cute [PERIOD]
reserved [AND] thoughtless [IMPLY] excited [PERIOD]
reserved [IMPLY] sleepy [PERIOD]
reserved [AND] tidy [AND] versatile [IMPLY] courageous [PERIOD]
cute [AND] courageous [AND] versatile [IMPLY] dull [PERIOD]
fearless [AND] sleepy [IMPLY] precious [PERIOD]
courageous [AND] ugliest [AND] excited [IMPLY] sleepy [PERIOD]
sleepy [IMPLY] dull [PERIOD]
precious [AND] courageous [AND] excited [IMPLY] fearless [PERIOD]
fearless [AND] precious [IMPLY] courageous [PERIOD]
cute [AND] fearless [IMPLY] dull [PERIOD]
tidy [AND] ugliest [AND] cute [IMPLY] thoughtless [PERIOD]
courageous [AND] precious [AND] cute [IMPLY] fearless [PERIOD]
tidy [AND] courageous [AND] cute [IMPLY] thoughtless [PERIOD]
thoughtless [AND] courageous [AND] fearless [IMPLY] reserved [PERIOD]
thoughtless [IMPLY] fearless [PERIOD]
ugliest [AND] dull [IMPLY] courageous [PERIOD]
tidy [IMPLY] courageous [PERIOD]
reserved [IMPLY] thoughtless [PERIOD]
reserved [AND] tidy [IMPLY] sleepy [PERIOD]
dull [AND] precious [AND] reserved [IMPLY] courageous [PERIOD]
ugliest [AND] tidy [IMPLY] courageous [PERIOD]
thoughtless [IMPLY] dull [PERIOD]
dull [AND] reserved [IMPLY] thoughtless [PERIOD]
tidy [AND] fearless [IMPLY] cute [PERIOD]
sleepy [IMPLY] versatile [PERIOD]
excited [IMPLY] cute [PERIOD]
cute [AND] sleepy [IMPLY] ugliest [PERIOD]
thoughtless [AND] reserved [IMPLY] courageous [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “tidy ⇒ thoughtless” because missing: tidy.
   Cannot apply rule “tidy ∧ ugliest ∧ cute ⇒ thoughtless” because missing: tidy, cute.
   Cannot apply rule “tidy ∧ courageous ∧ cute ⇒ thoughtless” because missing: tidy, cute.
   Cannot apply rule “reserved ⇒ thoughtless” because missing: reserved.
   Cannot apply rule “dull ∧ reserved ⇒ thoughtless” because missing: reserved.
",0,5
"Facts: 
Rules:
dull [IMPLY] enchanting [PERIOD]
sincere [IMPLY] stubborn [PERIOD]
comfortable [AND] stubborn [AND] dull [IMPLY] homely [PERIOD]
stubborn [AND] enchanting [IMPLY] sincere [PERIOD]
dull [IMPLY] sincere [PERIOD]
sincere [AND] enchanting [AND] dull [IMPLY] stubborn [PERIOD]
enchanting [AND] comfortable [AND] homely [IMPLY] dull [PERIOD]
homely [AND] stubborn [IMPLY] enchanting [PERIOD]
homely [AND] dull [IMPLY] stubborn [PERIOD]
comfortable [IMPLY] dull [PERIOD]
homely [IMPLY] dull [PERIOD]
dull [AND] enchanting [IMPLY] sincere [PERIOD]
enchanting [AND] stubborn [AND] comfortable [IMPLY] dull [PERIOD]
comfortable [IMPLY] stubborn [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   Cannot apply rule “stubborn ∧ enchanting ⇒ sincere” because missing: stubborn, enchanting.
   Cannot apply rule “dull ⇒ sincere” because missing: dull.
   Cannot apply rule “dull ∧ enchanting ⇒ sincere” because missing: dull, enchanting.
",0,3
"Facts:  Alice is spotless [PERIOD] Alice is mysterious [PERIOD] Alice is elegant [PERIOD]
Rules:
quaint [AND] stupid [IMPLY] bright [PERIOD]
careless [AND] stupid [IMPLY] quaint [PERIOD]
mysterious [AND] stupid [AND] witty [IMPLY] elegant [PERIOD]
witty [AND] mysterious [AND] spotless [IMPLY] bright [PERIOD]
spotless [AND] witty [IMPLY] mysterious [PERIOD]
quaint [AND] bright [AND] elegant [IMPLY] careless [PERIOD]
spotless [AND] elegant [IMPLY] mysterious [PERIOD]
witty [AND] spotless [IMPLY] stupid [PERIOD]
quaint [AND] elegant [IMPLY] spotless [PERIOD]
elegant [AND] spotless [AND] witty [IMPLY] stupid [PERIOD]
mysterious [AND] careless [AND] witty [IMPLY] spotless [PERIOD]
spotless [AND] witty [IMPLY] quaint [PERIOD]
spotless [AND] bright [AND] elegant [IMPLY] stupid [PERIOD]
elegant [IMPLY] mysterious [PERIOD]
careless [AND] stupid [AND] elegant [IMPLY] spotless [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   Cannot apply rule “witty ∧ spotless ⇒ stupid” because missing: witty.
   Cannot apply rule “elegant ∧ spotless ∧ witty ⇒ stupid” because missing: witty.
   Cannot apply rule “spotless ∧ bright ∧ elegant ⇒ stupid” because missing: bright.
",0,3
"Facts: 
Rules:
troubled [AND] long [IMPLY] elegant [PERIOD]
quaint [AND] smart [IMPLY] gorgeous [PERIOD]
broad-minded [AND] smart [IMPLY] impatient [PERIOD]
sensible [AND] homely [AND] agreeable [IMPLY] curious [PERIOD]
talkative [AND] smart [IMPLY] agreeable [PERIOD]
broad-minded [AND] elegant [IMPLY] frail [PERIOD]
broad-minded [IMPLY] elegant [PERIOD]
elated [AND] frail [IMPLY] quaint [PERIOD]
long [AND] sensible [IMPLY] muddy [PERIOD]
pessimistic [AND] muddy [AND] elated [IMPLY] broad-minded [PERIOD]
muddy [IMPLY] gorgeous [PERIOD]
long [AND] dishonest [AND] troubled [IMPLY] elated [PERIOD]
curious [AND] impatient [IMPLY] sensible [PERIOD]
dishonest [IMPLY] muddy [PERIOD]
elated [IMPLY] long [PERIOD]
pessimistic [AND] curious [AND] different [IMPLY] dishonest [PERIOD]
dishonest [AND] talkative [AND] impatient [IMPLY] homely [PERIOD]
gorgeous [AND] agreeable [IMPLY] quaint [PERIOD]
elegant [IMPLY] long [PERIOD]
elated [IMPLY] talkative [PERIOD]
smart [AND] long [IMPLY] sensible [PERIOD]
frail [IMPLY] muddy [PERIOD]
homely [IMPLY] dishonest [PERIOD]
pessimistic [AND] troubled [IMPLY] quaint [PERIOD]
witty [IMPLY] talkative [PERIOD]
quaint [AND] homely [IMPLY] gorgeous [PERIOD]
long [AND] sensible [AND] homely [IMPLY] witty [PERIOD]
homely [AND] pessimistic [AND] sensible [IMPLY] broad-minded [PERIOD]
frail [IMPLY] agreeable [PERIOD]
sensible [IMPLY] different [PERIOD]
elated [AND] sensible [AND] troubled [IMPLY] agreeable [PERIOD]
muddy [AND] broad-minded [IMPLY] quaint [PERIOD]
agreeable [AND] pessimistic [AND] dishonest [IMPLY] talkative [PERIOD]
witty [IMPLY] agreeable [PERIOD]
dishonest [AND] different [IMPLY] frail [PERIOD]
frail [AND] broad-minded [AND] muddy [IMPLY] curious [PERIOD]
different [IMPLY] elated [PERIOD]
pessimistic [AND] gorgeous [IMPLY] elated [PERIOD]
different [AND] broad-minded [AND] agreeable [IMPLY] elegant [PERIOD]
witty [AND] different [IMPLY] curious [PERIOD]
impatient [AND] muddy [AND] talkative [IMPLY] elated [PERIOD]
long [AND] troubled [AND] pessimistic [IMPLY] gorgeous [PERIOD]
talkative [AND] quaint [AND] frail [IMPLY] dishonest [PERIOD]
muddy [AND] elated [AND] smart [IMPLY] homely [PERIOD]
curious [AND] long [AND] sensible [IMPLY] different [PERIOD]
pessimistic [IMPLY] homely [PERIOD]
muddy [IMPLY] talkative [PERIOD]
long [AND] curious [IMPLY] sensible [PERIOD]
long [AND] pessimistic [AND] smart [IMPLY] agreeable [PERIOD]
elated [IMPLY] broad-minded [PERIOD]
elated [IMPLY] elegant [PERIOD]
curious [IMPLY] homely [PERIOD]
homely [AND] gorgeous [AND] different [IMPLY] frail [PERIOD]
smart [AND] witty [AND] impatient [IMPLY] different [PERIOD]
sensible [AND] gorgeous [AND] quaint [IMPLY] troubled [PERIOD]
frail [AND] dishonest [IMPLY] gorgeous [PERIOD]
quaint [AND] elated [IMPLY] gorgeous [PERIOD]
broad-minded [IMPLY] different [PERIOD]
homely [AND] smart [AND] muddy [IMPLY] gorgeous [PERIOD]
homely [IMPLY] impatient [PERIOD]
different [AND] troubled [IMPLY] talkative [PERIOD]
witty [AND] homely [IMPLY] quaint [PERIOD]
elated [AND] troubled [AND] agreeable [IMPLY] long [PERIOD]
pessimistic [AND] impatient [AND] quaint [IMPLY] troubled [PERIOD]
frail [AND] long [AND] elated [IMPLY] broad-minded [PERIOD]
agreeable [AND] elegant [IMPLY] different [PERIOD]
smart [IMPLY] curious [PERIOD]
smart [AND] pessimistic [AND] gorgeous [IMPLY] curious [PERIOD]
homely [AND] agreeable [AND] sensible [IMPLY] elated [PERIOD]
witty [AND] dishonest [IMPLY] sensible [PERIOD]
troubled [AND] witty [IMPLY] smart [PERIOD]
dishonest [AND] homely [AND] elated [IMPLY] sensible [PERIOD]
pessimistic [AND] long [IMPLY] gorgeous [PERIOD]
impatient [AND] homely [AND] broad-minded [IMPLY] sensible [PERIOD]
dishonest [AND] elated [IMPLY] curious [PERIOD]
dishonest [AND] sensible [IMPLY] broad-minded [PERIOD]
elated [AND] long [IMPLY] troubled [PERIOD]
smart [AND] impatient [IMPLY] elegant [PERIOD]
agreeable [AND] sensible [IMPLY] broad-minded [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   Cannot apply rule “long ∧ dishonest ∧ troubled ⇒ elated” because missing: long, dishonest, troubled.
   Cannot apply rule “different ⇒ elated” because missing: different.
   Cannot apply rule “pessimistic ∧ gorgeous ⇒ elated” because missing: pessimistic, gorgeous.
   Cannot apply rule “impatient ∧ muddy ∧ talkative ⇒ elated” because missing: impatient, muddy, talkative.
   Cannot apply rule “homely ∧ agreeable ∧ sensible ⇒ elated” because missing: homely, agreeable, sensible.
",0,5
"Facts:  Alice is horrible [PERIOD] Alice is amused [PERIOD] Alice is vivacious [PERIOD] Alice is stormy [PERIOD] Alice is glamorous [PERIOD] Alice is tender [PERIOD] Alice is average [PERIOD] Alice is messy [PERIOD] Alice is fancy [PERIOD] Alice is rational [PERIOD] Alice is hilarious [PERIOD] Alice is careless [PERIOD] Alice is wide-eyed [PERIOD] Alice is shiny [PERIOD] Alice is bored [PERIOD]
Rules:
embarrassed [AND] wide-eyed [AND] careless [IMPLY] shiny [PERIOD]
hilarious [AND] glamorous [AND] tender [IMPLY] frantic [PERIOD]
average [AND] hilarious [AND] hypocritical [IMPLY] horrible [PERIOD]
courageous [IMPLY] wide-eyed [PERIOD]
witty [AND] careless [AND] embarrassed [IMPLY] shiny [PERIOD]
sensible [AND] courageous [AND] rational [IMPLY] hilarious [PERIOD]
hilarious [AND] wide-eyed [AND] careless [IMPLY] courageous [PERIOD]
shiny [AND] amused [IMPLY] bored [PERIOD]
courageous [AND] witty [IMPLY] rational [PERIOD]
witty [AND] horrible [AND] rational [IMPLY] embarrassed [PERIOD]
courageous [AND] wide-eyed [IMPLY] fearless [PERIOD]
horrible [AND] hypocritical [IMPLY] wide-eyed [PERIOD]
vivacious [AND] horrible [AND] wide-eyed [IMPLY] fancy [PERIOD]
fancy [AND] sensible [AND] witty [IMPLY] glamorous [PERIOD]
wide-eyed [AND] amused [AND] hypocritical [IMPLY] serious [PERIOD]
wide-eyed [AND] shiny [AND] stormy [IMPLY] amused [PERIOD]
bored [IMPLY] shiny [PERIOD]
messy [AND] vivacious [AND] courageous [IMPLY] hypocritical [PERIOD]
average [IMPLY] embarrassed [PERIOD]
careless [AND] bored [IMPLY] average [PERIOD]
rational [AND] careless [IMPLY] amused [PERIOD]
witty [IMPLY] courageous [PERIOD]
fancy [IMPLY] hilarious [PERIOD]
fancy [IMPLY] sensible [PERIOD]
hypocritical [IMPLY] hilarious [PERIOD]
hypocritical [AND] shiny [IMPLY] hilarious [PERIOD]
stormy [AND] rational [IMPLY] amused [PERIOD]
shiny [IMPLY] frantic [PERIOD]
witty [AND] wide-eyed [AND] bored [IMPLY] careless [PERIOD]
vivacious [AND] bored [IMPLY] embarrassed [PERIOD]
tender [AND] fearless [AND] stormy [IMPLY] sensible [PERIOD]
serious [AND] horrible [IMPLY] glamorous [PERIOD]
amused [AND] frantic [IMPLY] glamorous [PERIOD]
horrible [AND] tender [IMPLY] fearless [PERIOD]
embarrassed [AND] fearless [IMPLY] witty [PERIOD]
glamorous [AND] wide-eyed [IMPLY] embarrassed [PERIOD]
sensible [AND] wide-eyed [IMPLY] glamorous [PERIOD]
vivacious [AND] rational [IMPLY] stormy [PERIOD]
messy [AND] hilarious [IMPLY] hypocritical [PERIOD]
embarrassed [AND] rational [IMPLY] shiny [PERIOD]
careless [AND] fancy [IMPLY] fearless [PERIOD]
fearless [IMPLY] sensible [PERIOD]
amused [IMPLY] fearless [PERIOD]
tender [IMPLY] careless [PERIOD]
witty [AND] stormy [AND] frantic [IMPLY] shiny [PERIOD]
courageous [IMPLY] sensible [PERIOD]
fancy [AND] serious [AND] fearless [IMPLY] glamorous [PERIOD]
messy [AND] fearless [AND] hypocritical [IMPLY] serious [PERIOD]
careless [IMPLY] wide-eyed [PERIOD]
shiny [AND] stormy [AND] tender [IMPLY] hilarious [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   average ⇒ embarrassed
   amused ⇒ fearless
   embarrassed ∧ fearless ⇒ witty
",1,3
"Facts:  Alice is lonely [PERIOD]
Rules:
mean [AND] thoughtful [IMPLY] lonely [PERIOD]
old-fashioned [IMPLY] polite [PERIOD]
lonely [IMPLY] thoughtful [PERIOD]
rational [IMPLY] old-fashioned [PERIOD]
tense [IMPLY] charming [PERIOD]
old-fashioned [AND] rational [IMPLY] thoughtful [PERIOD]
popular [AND] mean [IMPLY] charming [PERIOD]
tense [IMPLY] popular [PERIOD]
mean [AND] polite [AND] rational [IMPLY] charming [PERIOD]
thoughtful [AND] charming [AND] rational [IMPLY] mean [PERIOD]
tense [AND] charming [IMPLY] popular [PERIOD]
rational [AND] charming [IMPLY] thoughtful [PERIOD]
mean [AND] thoughtful [AND] old-fashioned [IMPLY] rational [PERIOD]
old-fashioned [AND] lonely [AND] fine [IMPLY] polite [PERIOD]
polite [IMPLY] lonely [PERIOD]
fine [AND] mean [AND] charming [IMPLY] popular [PERIOD]
popular [AND] thoughtful [IMPLY] polite [PERIOD]
old-fashioned [AND] mean [AND] charming [IMPLY] rational [PERIOD]
popular [AND] tense [AND] charming [IMPLY] lonely [PERIOD]
lonely [AND] popular [AND] mean [IMPLY] fine [PERIOD]
fine [AND] thoughtful [IMPLY] tense [PERIOD]
tense [AND] charming [AND] fine [IMPLY] old-fashioned [PERIOD]
popular [AND] thoughtful [IMPLY] old-fashioned [PERIOD]
mean [AND] fine [IMPLY] lonely [PERIOD]
polite [IMPLY] popular [PERIOD]
charming [AND] old-fashioned [IMPLY] rational [PERIOD]
old-fashioned [AND] mean [IMPLY] rational [PERIOD]
rational [AND] fine [AND] charming [IMPLY] popular [PERIOD]
charming [AND] mean [AND] polite [IMPLY] old-fashioned [PERIOD]
polite [AND] lonely [AND] popular [IMPLY] tense [PERIOD]
polite [AND] popular [AND] tense [IMPLY] lonely [PERIOD]
lonely [AND] old-fashioned [AND] rational [IMPLY] thoughtful [PERIOD]
thoughtful [AND] polite [AND] lonely [IMPLY] fine [PERIOD]
old-fashioned [AND] polite [IMPLY] thoughtful [PERIOD]
mean [IMPLY] rational [PERIOD]
old-fashioned [AND] charming [AND] lonely [IMPLY] polite [PERIOD]
old-fashioned [AND] lonely [AND] mean [IMPLY] polite [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   lonely ⇒ thoughtful
   Cannot apply rule “mean ∧ thoughtful ∧ old-fashioned ⇒ rational” because missing: mean, old-fashioned.
   Cannot apply rule “old-fashioned ∧ mean ∧ charming ⇒ rational” because missing: old-fashioned, mean, charming.
   Cannot apply rule “charming ∧ old-fashioned ⇒ rational” because missing: charming, old-fashioned.
   Cannot apply rule “old-fashioned ∧ mean ⇒ rational” because missing: old-fashioned, mean.
   Cannot apply rule “mean ⇒ rational” because missing: mean.
",0,6
"Facts:  Alice is outrageous [PERIOD] Alice is attractive [PERIOD] Alice is lucky [PERIOD] Alice is calm [PERIOD] Alice is pleasant [PERIOD] Alice is jittery [PERIOD] Alice is wrong [PERIOD] Alice is different [PERIOD] Alice is talkative [PERIOD] Alice is pessimistic [PERIOD] Alice is agreeable [PERIOD] Alice is nervous [PERIOD]
Rules:
agreeable [AND] pleasant [IMPLY] lucky [PERIOD]
fragile [IMPLY] lucky [PERIOD]
talkative [IMPLY] nervous [PERIOD]
outrageous [AND] attractive [IMPLY] wrong [PERIOD]
nervous [AND] lucky [AND] fragile [IMPLY] jittery [PERIOD]
lucky [IMPLY] attractive [PERIOD]
jittery [AND] wrong [AND] talkative [IMPLY] attractive [PERIOD]
agreeable [AND] wrong [IMPLY] nervous [PERIOD]
different [AND] talkative [IMPLY] wrong [PERIOD]
pessimistic [IMPLY] pleasant [PERIOD]
wrong [IMPLY] agreeable [PERIOD]
jittery [IMPLY] attractive [PERIOD]
calm [IMPLY] outrageous [PERIOD]
nervous [AND] attractive [AND] jittery [IMPLY] different [PERIOD]
pessimistic [IMPLY] different [PERIOD]
talkative [AND] attractive [IMPLY] wrong [PERIOD]
different [AND] lucky [AND] pessimistic [IMPLY] fragile [PERIOD]
pessimistic [AND] pleasant [IMPLY] outrageous [PERIOD]
wrong [AND] attractive [IMPLY] agreeable [PERIOD]
attractive [AND] agreeable [IMPLY] talkative [PERIOD]
wrong [AND] nervous [IMPLY] jittery [PERIOD]
attractive [AND] outrageous [IMPLY] jittery [PERIOD]
lucky [IMPLY] calm [PERIOD]
pessimistic [AND] agreeable [IMPLY] talkative [PERIOD]
lucky [AND] nervous [IMPLY] agreeable [PERIOD]
wrong [AND] pessimistic [AND] agreeable [IMPLY] nervous [PERIOD]
agreeable [IMPLY] attractive [PERIOD]
outrageous [IMPLY] lucky [PERIOD]
outrageous [AND] calm [IMPLY] attractive [PERIOD]
pessimistic [IMPLY] wrong [PERIOD]
agreeable [IMPLY] jittery [PERIOD]
agreeable [AND] pessimistic [AND] pleasant [IMPLY] talkative [PERIOD]
fragile [AND] different [AND] calm [IMPLY] lucky [PERIOD]
talkative [AND] different [AND] nervous [IMPLY] calm [PERIOD]
jittery [AND] wrong [AND] calm [IMPLY] fragile [PERIOD]
pleasant [AND] agreeable [IMPLY] calm [PERIOD]
attractive [IMPLY] fragile [PERIOD]
pessimistic [AND] jittery [IMPLY] talkative [PERIOD]
fragile [AND] wrong [IMPLY] outrageous [PERIOD]
talkative [AND] nervous [IMPLY] agreeable [PERIOD]
different [IMPLY] fragile [PERIOD]
calm [AND] talkative [AND] different [IMPLY] fragile [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is diplomatic [PERIOD] Alice is sincere [PERIOD]
Rules:
sincere [AND] impatient [IMPLY] uptight [PERIOD]
diplomatic [AND] horrible [IMPLY] impatient [PERIOD]
impatient [AND] sincere [IMPLY] horrible [PERIOD]
uptight [AND] rational [IMPLY] horrible [PERIOD]
horrible [AND] impatient [IMPLY] average [PERIOD]
horrible [IMPLY] rational [PERIOD]
impatient [IMPLY] diplomatic [PERIOD]
sincere [AND] horrible [IMPLY] impatient [PERIOD]
rational [IMPLY] average [PERIOD]
impatient [IMPLY] rational [PERIOD]
uptight [AND] rational [IMPLY] diplomatic [PERIOD]
average [AND] uptight [AND] impatient [IMPLY] horrible [PERIOD]
sincere [AND] uptight [AND] rational [IMPLY] average [PERIOD]
impatient [IMPLY] horrible [PERIOD]
diplomatic [IMPLY] impatient [PERIOD]
average [AND] uptight [AND] diplomatic [IMPLY] impatient [PERIOD]
average [AND] rational [AND] impatient [IMPLY] sincere [PERIOD]
sincere [IMPLY] diplomatic [PERIOD]
rational [AND] diplomatic [AND] sincere [IMPLY] uptight [PERIOD]
rational [AND] horrible [AND] impatient [IMPLY] sincere [PERIOD]
uptight [AND] impatient [AND] sincere [IMPLY] rational [PERIOD]
rational [AND] sincere [AND] horrible [IMPLY] uptight [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   diplomatic ⇒ impatient
   impatient ∧ sincere ⇒ horrible
   diplomatic ⇒ impatient
   horrible ∧ impatient ⇒ average
",1,4
"Facts: 
Rules:
wandering [IMPLY] stubborn [PERIOD]
spotless [AND] bad-tempered [IMPLY] serious [PERIOD]
loving [AND] spotless [IMPLY] bad-tempered [PERIOD]
stubborn [AND] serious [IMPLY] spotless [PERIOD]
unpleasant [AND] loving [AND] bad-tempered [IMPLY] wandering [PERIOD]
unpleasant [AND] serious [AND] wandering [IMPLY] spotless [PERIOD]
bad-tempered [IMPLY] unpleasant [PERIOD]
bad-tempered [AND] loving [AND] wandering [IMPLY] spotless [PERIOD]
bad-tempered [IMPLY] wandering [PERIOD]
loving [AND] bad-tempered [IMPLY] serious [PERIOD]
serious [AND] bad-tempered [AND] wandering [IMPLY] stubborn [PERIOD]
bad-tempered [AND] unpleasant [AND] serious [IMPLY] wandering [PERIOD]
bad-tempered [AND] loving [AND] stubborn [IMPLY] spotless [PERIOD]
stubborn [AND] spotless [AND] loving [IMPLY] unpleasant [PERIOD]
bad-tempered [AND] spotless [IMPLY] unpleasant [PERIOD]
spotless [AND] unpleasant [AND] bad-tempered [IMPLY] stubborn [PERIOD]
loving [IMPLY] wandering [PERIOD]
serious [IMPLY] loving [PERIOD]
bad-tempered [AND] spotless [AND] loving [IMPLY] wandering [PERIOD]
wandering [AND] loving [AND] spotless [IMPLY] serious [PERIOD]
wandering [AND] unpleasant [IMPLY] stubborn [PERIOD]
serious [AND] wandering [IMPLY] stubborn [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   Cannot apply rule “wandering ⇒ stubborn” because missing: wandering.
   Cannot apply rule “serious ∧ bad-tempered ∧ wandering ⇒ stubborn” because missing: serious, bad-tempered, wandering.
   Cannot apply rule “spotless ∧ unpleasant ∧ bad-tempered ⇒ stubborn” because missing: spotless, unpleasant, bad-tempered.
   Cannot apply rule “wandering ∧ unpleasant ⇒ stubborn” because missing: wandering, unpleasant.
   Cannot apply rule “serious ∧ wandering ⇒ stubborn” because missing: serious, wandering.
",0,5
"Facts:  Alice is frail [PERIOD] Alice is jittery [PERIOD] Alice is fragile [PERIOD]
Rules:
long [AND] disgusted [IMPLY] hypocritical [PERIOD]
dishonest [AND] long [IMPLY] worried [PERIOD]
long [AND] fragile [AND] homely [IMPLY] jittery [PERIOD]
combative [AND] different [AND] dishonest [IMPLY] frail [PERIOD]
long [AND] spotless [AND] hypocritical [IMPLY] foolish [PERIOD]
rude [AND] worried [IMPLY] polite [PERIOD]
polite [IMPLY] long [PERIOD]
jittery [AND] dishonest [IMPLY] tense [PERIOD]
rude [AND] long [IMPLY] attentive [PERIOD]
long [AND] weary [AND] fragile [IMPLY] tidy [PERIOD]
jittery [AND] polite [AND] gifted [IMPLY] spotless [PERIOD]
tidy [IMPLY] homely [PERIOD]
hypocritical [AND] dishonest [IMPLY] frail [PERIOD]
long [IMPLY] tense [PERIOD]
tidy [AND] dishonest [IMPLY] combative [PERIOD]
homely [AND] foolish [AND] polite [IMPLY] disgusted [PERIOD]
spotless [AND] polite [AND] dishonest [IMPLY] rude [PERIOD]
dishonest [AND] fragile [AND] worried [IMPLY] combative [PERIOD]
comfortable [IMPLY] homely [PERIOD]
polite [IMPLY] worried [PERIOD]
easy [AND] attentive [AND] different [IMPLY] frail [PERIOD]
gifted [AND] comfortable [IMPLY] dishonest [PERIOD]
weary [AND] easy [AND] homely [IMPLY] hypocritical [PERIOD]
tidy [AND] homely [IMPLY] worried [PERIOD]
jittery [IMPLY] gifted [PERIOD]
worried [AND] comfortable [AND] fragile [IMPLY] attentive [PERIOD]
comfortable [AND] combative [IMPLY] polite [PERIOD]
polite [AND] worried [IMPLY] frail [PERIOD]
jittery [AND] fragile [IMPLY] gifted [PERIOD]
easy [AND] homely [IMPLY] fragile [PERIOD]
long [AND] weary [IMPLY] comfortable [PERIOD]
tense [AND] frail [IMPLY] worried [PERIOD]
tense [AND] rude [AND] comfortable [IMPLY] gifted [PERIOD]
long [IMPLY] fragile [PERIOD]
easy [AND] hypocritical [AND] dishonest [IMPLY] foolish [PERIOD]
homely [AND] tidy [IMPLY] polite [PERIOD]
worried [AND] homely [AND] easy [IMPLY] rude [PERIOD]
spotless [IMPLY] hypocritical [PERIOD]
frail [AND] comfortable [IMPLY] homely [PERIOD]
tense [AND] foolish [AND] easy [IMPLY] different [PERIOD]
frail [AND] spotless [IMPLY] rude [PERIOD]
tidy [IMPLY] easy [PERIOD]
dishonest [AND] tense [AND] foolish [IMPLY] combative [PERIOD]
foolish [AND] dishonest [IMPLY] homely [PERIOD]
foolish [AND] different [AND] comfortable [IMPLY] worried [PERIOD]
worried [AND] hypocritical [IMPLY] disgusted [PERIOD]
dishonest [AND] gifted [AND] attentive [IMPLY] hypocritical [PERIOD]
different [IMPLY] combative [PERIOD]
hypocritical [IMPLY] jittery [PERIOD]
jittery [AND] long [IMPLY] fragile [PERIOD]
tidy [AND] frail [AND] tense [IMPLY] comfortable [PERIOD]
frail [AND] dishonest [AND] polite [IMPLY] spotless [PERIOD]
fragile [AND] combative [AND] comfortable [IMPLY] frail [PERIOD]
comfortable [IMPLY] worried [PERIOD]
hypocritical [AND] gifted [IMPLY] combative [PERIOD]
rude [AND] weary [AND] homely [IMPLY] easy [PERIOD]
weary [IMPLY] combative [PERIOD]
dishonest [IMPLY] foolish [PERIOD]
hypocritical [AND] rude [IMPLY] weary [PERIOD]
foolish [AND] tense [AND] hypocritical [IMPLY] long [PERIOD]
comfortable [AND] weary [AND] attentive [IMPLY] long [PERIOD]
worried [IMPLY] weary [PERIOD]
gifted [AND] homely [AND] jittery [IMPLY] worried [PERIOD]
easy [AND] gifted [AND] attentive [IMPLY] combative [PERIOD]
tense [AND] fragile [IMPLY] attentive [PERIOD]
polite [IMPLY] frail [PERIOD]
dishonest [AND] different [IMPLY] long [PERIOD]
fragile [AND] attentive [AND] gifted [IMPLY] dishonest [PERIOD]
weary [AND] homely [IMPLY] comfortable [PERIOD]
foolish [AND] frail [AND] fragile [IMPLY] tense [PERIOD]
hypocritical [AND] different [IMPLY] long [PERIOD]
tidy [AND] combative [AND] polite [IMPLY] dishonest [PERIOD]
rude [IMPLY] different [PERIOD]
dishonest [AND] homely [IMPLY] different [PERIOD]
easy [AND] weary [IMPLY] hypocritical [PERIOD]
different [AND] dishonest [IMPLY] disgusted [PERIOD]
homely [AND] dishonest [AND] foolish [IMPLY] attentive [PERIOD]
disgusted [AND] fragile [IMPLY] tense [PERIOD]
foolish [AND] dishonest [AND] different [IMPLY] disgusted [PERIOD]
frail [AND] gifted [AND] jittery [IMPLY] rude [PERIOD]
attentive [AND] polite [AND] rude [IMPLY] tidy [PERIOD]
comfortable [AND] tidy [IMPLY] weary [PERIOD]
spotless [AND] different [IMPLY] hypocritical [PERIOD]
homely [AND] rude [AND] spotless [IMPLY] attentive [PERIOD]
dishonest [IMPLY] weary [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   Cannot apply rule “long ∧ weary ∧ fragile ⇒ tidy” because missing: long, weary.
   jittery ⇒ gifted
   frail ∧ gifted ∧ jittery ⇒ rude
   Cannot apply rule “attentive ∧ polite ∧ rude ⇒ tidy” because missing: attentive, polite.
",0,4
"Facts: 
Rules:
plain [IMPLY] gleaming [PERIOD]
mysterious [AND] plain [IMPLY] gleaming [PERIOD]
gleaming [IMPLY] mysterious [PERIOD]
tender [IMPLY] gleaming [PERIOD]
mysterious [AND] plain [IMPLY] tender [PERIOD]
tender [AND] crowded [AND] gleaming [IMPLY] mysterious [PERIOD]
gleaming [IMPLY] plain [PERIOD]
gleaming [IMPLY] tender [PERIOD]
gleaming [AND] plain [AND] tender [IMPLY] crowded [PERIOD]
gleaming [AND] plain [AND] mysterious [IMPLY] crowded [PERIOD]
tender [AND] plain [IMPLY] gleaming [PERIOD]
plain [AND] mysterious [AND] tender [IMPLY] gleaming [PERIOD]
plain [AND] tender [IMPLY] mysterious [PERIOD]
plain [AND] crowded [AND] tender [IMPLY] mysterious [PERIOD]
tender [IMPLY] mysterious [PERIOD]
plain [AND] mysterious [AND] tender [IMPLY] crowded [PERIOD]
gleaming [AND] plain [IMPLY] mysterious [PERIOD]
gleaming [AND] crowded [AND] mysterious [IMPLY] tender [PERIOD]
plain [AND] mysterious [IMPLY] crowded [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   Cannot apply rule “gleaming ∧ plain ∧ tender ⇒ crowded” because missing: gleaming, plain, tender.
   Cannot apply rule “gleaming ∧ plain ∧ mysterious ⇒ crowded” because missing: gleaming, plain, mysterious.
   Cannot apply rule “plain ∧ mysterious ∧ tender ⇒ crowded” because missing: plain, mysterious, tender.
   Cannot apply rule “plain ∧ mysterious ⇒ crowded” because missing: plain, mysterious.
",0,4
"Facts:  Alice is worried [PERIOD] Alice is bad-tempered [PERIOD] Alice is embarrassed [PERIOD] Alice is frantic [PERIOD] Alice is different [PERIOD] Alice is thoughtful [PERIOD] Alice is lucky [PERIOD] Alice is silly [PERIOD] Alice is crowded [PERIOD] Alice is quaint [PERIOD] Alice is stormy [PERIOD] Alice is talented [PERIOD] Alice is scared [PERIOD] Alice is pessimistic [PERIOD] Alice is ambitious [PERIOD] Alice is wandering [PERIOD] Alice is rational [PERIOD] Alice is inexpensive [PERIOD]
Rules:
distinct [AND] pessimistic [IMPLY] wandering [PERIOD]
different [IMPLY] frantic [PERIOD]
distinct [IMPLY] frantic [PERIOD]
pessimistic [IMPLY] worried [PERIOD]
tender [AND] wandering [AND] inexpensive [IMPLY] bad-tempered [PERIOD]
distinct [AND] talented [IMPLY] pessimistic [PERIOD]
thoughtful [IMPLY] quaint [PERIOD]
victorious [AND] bad-tempered [IMPLY] talented [PERIOD]
quaint [IMPLY] frantic [PERIOD]
anxious [IMPLY] cruel [PERIOD]
lucky [IMPLY] ambitious [PERIOD]
different [AND] victorious [AND] cruel [IMPLY] ugly [PERIOD]
silly [AND] ugly [AND] pessimistic [IMPLY] worried [PERIOD]
distinct [IMPLY] tender [PERIOD]
ugly [IMPLY] thoughtful [PERIOD]
pessimistic [IMPLY] frantic [PERIOD]
tender [AND] crowded [IMPLY] inexpensive [PERIOD]
wandering [AND] thoughtful [AND] victorious [IMPLY] lucky [PERIOD]
lucky [AND] stormy [AND] cruel [IMPLY] victorious [PERIOD]
scared [IMPLY] different [PERIOD]
worried [IMPLY] wandering [PERIOD]
pessimistic [IMPLY] bad-tempered [PERIOD]
embarrassed [AND] silly [IMPLY] crowded [PERIOD]
thoughtful [AND] cute [AND] worried [IMPLY] stormy [PERIOD]
victorious [AND] ambitious [IMPLY] inexpensive [PERIOD]
stormy [IMPLY] frantic [PERIOD]
distinct [IMPLY] victorious [PERIOD]
different [IMPLY] stormy [PERIOD]
victorious [IMPLY] talented [PERIOD]
inexpensive [AND] wandering [IMPLY] lucky [PERIOD]
thoughtful [AND] worried [IMPLY] tender [PERIOD]
tender [AND] embarrassed [AND] scared [IMPLY] cruel [PERIOD]
distinct [AND] ugly [AND] silly [IMPLY] pessimistic [PERIOD]
scared [AND] ugly [AND] crowded [IMPLY] different [PERIOD]
distinct [AND] ugly [IMPLY] cute [PERIOD]
cute [AND] inexpensive [AND] stormy [IMPLY] silly [PERIOD]
silly [AND] inexpensive [AND] ugly [IMPLY] cute [PERIOD]
worried [AND] quaint [IMPLY] talented [PERIOD]
crowded [AND] scared [AND] frantic [IMPLY] cute [PERIOD]
different [IMPLY] ambitious [PERIOD]
stormy [AND] inexpensive [AND] worried [IMPLY] silly [PERIOD]
crowded [IMPLY] anxious [PERIOD]
thoughtful [AND] ugly [AND] victorious [IMPLY] worried [PERIOD]
lucky [AND] worried [AND] stormy [IMPLY] inexpensive [PERIOD]
stormy [AND] wandering [IMPLY] ambitious [PERIOD]
ugly [AND] frantic [IMPLY] thoughtful [PERIOD]
rational [IMPLY] tender [PERIOD]
crowded [AND] scared [IMPLY] inexpensive [PERIOD]
scared [AND] embarrassed [IMPLY] different [PERIOD]
wandering [IMPLY] ugly [PERIOD]
cute [AND] tender [IMPLY] silly [PERIOD]
tender [IMPLY] inexpensive [PERIOD]
silly [AND] distinct [AND] bad-tempered [IMPLY] ambitious [PERIOD]
talented [IMPLY] bad-tempered [PERIOD]
thoughtful [IMPLY] pessimistic [PERIOD]
thoughtful [IMPLY] bad-tempered [PERIOD]
ambitious [AND] cute [AND] crowded [IMPLY] distinct [PERIOD]
silly [AND] scared [IMPLY] wandering [PERIOD]
frantic [IMPLY] talented [PERIOD]
crowded [AND] wandering [IMPLY] anxious [PERIOD]
pessimistic [AND] lucky [IMPLY] wandering [PERIOD]
wandering [AND] anxious [IMPLY] inexpensive [PERIOD]
thoughtful [IMPLY] different [PERIOD]
worried [AND] cruel [IMPLY] victorious [PERIOD]
thoughtful [AND] wandering [AND] pessimistic [IMPLY] lucky [PERIOD]
distinct [AND] scared [AND] cute [IMPLY] crowded [PERIOD]
lucky [IMPLY] frantic [PERIOD]
cruel [IMPLY] embarrassed [PERIOD]
inexpensive [AND] pessimistic [IMPLY] ugly [PERIOD]
ambitious [AND] distinct [AND] worried [IMPLY] victorious [PERIOD]
ambitious [AND] inexpensive [IMPLY] crowded [PERIOD]
crowded [AND] frantic [AND] distinct [IMPLY] scared [PERIOD]
wandering [IMPLY] different [PERIOD]
rational [AND] pessimistic [IMPLY] wandering [PERIOD]
bad-tempered [AND] cute [IMPLY] scared [PERIOD]
rational [AND] ugly [IMPLY] ambitious [PERIOD]
thoughtful [AND] anxious [IMPLY] rational [PERIOD]
lucky [AND] cruel [AND] cute [IMPLY] frantic [PERIOD]
embarrassed [IMPLY] wandering [PERIOD]
stormy [AND] talented [IMPLY] distinct [PERIOD]
silly [IMPLY] frantic [PERIOD]
cruel [IMPLY] cute [PERIOD]
crowded [AND] embarrassed [AND] stormy [IMPLY] inexpensive [PERIOD]
different [AND] lucky [AND] inexpensive [IMPLY] bad-tempered [PERIOD]
talented [AND] stormy [IMPLY] lucky [PERIOD]
crowded [IMPLY] talented [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is popular [PERIOD] Alice is ugliest [PERIOD] Alice is friendly [PERIOD]
Rules:
ugliest [AND] confident [AND] friendly [IMPLY] weary [PERIOD]
weary [AND] fancy [IMPLY] disgusted [PERIOD]
friendly [AND] foolish [IMPLY] confident [PERIOD]
cooperative [IMPLY] weary [PERIOD]
foolish [IMPLY] confident [PERIOD]
cooperative [AND] friendly [AND] modern [IMPLY] confident [PERIOD]
popular [AND] foolish [IMPLY] friendly [PERIOD]
fancy [AND] ugliest [IMPLY] disgusted [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is calm [PERIOD] Alice is loving [PERIOD] Alice is pleasant [PERIOD]
Rules:
worrisome [AND] calm [AND] disgusted [IMPLY] foolish [PERIOD]
calm [AND] disgusted [IMPLY] foolish [PERIOD]
supportive [AND] calm [IMPLY] worrisome [PERIOD]
worrisome [IMPLY] disgusted [PERIOD]
foolish [AND] pleasant [IMPLY] supportive [PERIOD]
calm [IMPLY] disgusted [PERIOD]
foolish [AND] supportive [AND] worrisome [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] calm [PERIOD]
loving [AND] foolish [IMPLY] supportive [PERIOD]
pleasant [AND] worrisome [IMPLY] disgusted [PERIOD]
worrisome [AND] disgusted [AND] pleasant [IMPLY] loving [PERIOD]
loving [AND] pleasant [AND] supportive [IMPLY] disgusted [PERIOD]
foolish [IMPLY] calm [PERIOD]
disgusted [AND] calm [AND] supportive [IMPLY] pleasant [PERIOD]
foolish [AND] pleasant [IMPLY] calm [PERIOD]
supportive [AND] calm [AND] worrisome [IMPLY] pleasant [PERIOD]
calm [IMPLY] pleasant [PERIOD]
calm [IMPLY] foolish [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   calm ⇒ foolish
   foolish ∧ pleasant ⇒ supportive
   supportive ∧ calm ⇒ worrisome
",1,3
"Facts:  Alice is outrageous [PERIOD]
Rules:
famous [IMPLY] cruel [PERIOD]
plain [AND] aggressive [IMPLY] careless [PERIOD]
bad-tempered [IMPLY] joyous [PERIOD]
confident [AND] foolish [AND] long [IMPLY] intellectual [PERIOD]
long [AND] difficult [IMPLY] frail [PERIOD]
bad-tempered [AND] famous [IMPLY] outrageous [PERIOD]
fearless [AND] popular [IMPLY] bad-tempered [PERIOD]
joyous [IMPLY] long [PERIOD]
foolish [AND] gleaming [AND] popular [IMPLY] cruel [PERIOD]
nervous [AND] confident [AND] tidy [IMPLY] bad-tempered [PERIOD]
fearless [AND] inquisitive [IMPLY] difficult [PERIOD]
frail [IMPLY] careless [PERIOD]
fearless [IMPLY] bad-tempered [PERIOD]
long [AND] difficult [AND] intellectual [IMPLY] careless [PERIOD]
outrageous [AND] difficult [IMPLY] foolish [PERIOD]
popular [AND] careless [IMPLY] frail [PERIOD]
popular [IMPLY] bad-tempered [PERIOD]
fearless [AND] frail [AND] popular [IMPLY] average [PERIOD]
famous [AND] long [IMPLY] aggressive [PERIOD]
foolish [AND] spotless [IMPLY] joyous [PERIOD]
joyous [IMPLY] fearless [PERIOD]
clean [AND] long [AND] confident [IMPLY] careless [PERIOD]
famous [AND] long [AND] nervous [IMPLY] fearless [PERIOD]
intellectual [IMPLY] spotless [PERIOD]
popular [AND] clean [IMPLY] inquisitive [PERIOD]
bad-tempered [AND] frail [AND] careless [IMPLY] long [PERIOD]
famous [AND] confident [AND] outrageous [IMPLY] plain [PERIOD]
long [IMPLY] confident [PERIOD]
clean [AND] outrageous [IMPLY] intellectual [PERIOD]
intellectual [AND] average [AND] inquisitive [IMPLY] spotless [PERIOD]
intellectual [AND] bad-tempered [AND] long [IMPLY] frail [PERIOD]
popular [AND] joyous [AND] fearless [IMPLY] cruel [PERIOD]
spotless [AND] aggressive [IMPLY] popular [PERIOD]
clean [AND] outrageous [AND] plain [IMPLY] joyous [PERIOD]
intellectual [IMPLY] joyous [PERIOD]
fearless [AND] careless [AND] inquisitive [IMPLY] intellectual [PERIOD]
cruel [IMPLY] confident [PERIOD]
cruel [AND] careless [IMPLY] gleaming [PERIOD]
intellectual [AND] fearless [AND] tidy [IMPLY] plain [PERIOD]
inquisitive [IMPLY] popular [PERIOD]
careless [IMPLY] frail [PERIOD]
bad-tempered [AND] tidy [AND] fearless [IMPLY] popular [PERIOD]
confident [IMPLY] cruel [PERIOD]
fearless [AND] frail [AND] foolish [IMPLY] popular [PERIOD]
aggressive [AND] fearless [IMPLY] spotless [PERIOD]
nervous [IMPLY] intellectual [PERIOD]
foolish [AND] difficult [AND] outrageous [IMPLY] clean [PERIOD]
fearless [AND] careless [AND] confident [IMPLY] gleaming [PERIOD]
gleaming [AND] plain [IMPLY] inquisitive [PERIOD]
bad-tempered [IMPLY] popular [PERIOD]
difficult [IMPLY] plain [PERIOD]
nervous [AND] tidy [IMPLY] average [PERIOD]
aggressive [IMPLY] popular [PERIOD]
joyous [IMPLY] foolish [PERIOD]
fearless [AND] tidy [IMPLY] spotless [PERIOD]
joyous [AND] plain [AND] clean [IMPLY] difficult [PERIOD]
popular [AND] gleaming [IMPLY] famous [PERIOD]
inquisitive [AND] aggressive [AND] plain [IMPLY] nervous [PERIOD]
plain [AND] tidy [AND] gleaming [IMPLY] difficult [PERIOD]
fearless [AND] tidy [AND] popular [IMPLY] difficult [PERIOD]
gleaming [AND] famous [IMPLY] plain [PERIOD]
joyous [IMPLY] inquisitive [PERIOD]
average [AND] confident [IMPLY] gleaming [PERIOD]
clean [AND] cruel [AND] joyous [IMPLY] spotless [PERIOD]
aggressive [AND] confident [AND] famous [IMPLY] clean [PERIOD]
bad-tempered [IMPLY] long [PERIOD]
gleaming [AND] difficult [AND] tidy [IMPLY] frail [PERIOD]
inquisitive [AND] long [AND] cruel [IMPLY] confident [PERIOD]
nervous [IMPLY] foolish [PERIOD]
cruel [AND] average [IMPLY] confident [PERIOD]
cruel [AND] inquisitive [AND] nervous [IMPLY] tidy [PERIOD]
difficult [AND] foolish [IMPLY] frail [PERIOD]
foolish [IMPLY] gleaming [PERIOD]
outrageous [AND] inquisitive [IMPLY] long [PERIOD]
nervous [IMPLY] average [PERIOD]
clean [AND] tidy [IMPLY] gleaming [PERIOD]
fearless [AND] aggressive [IMPLY] bad-tempered [PERIOD]
clean [AND] confident [IMPLY] tidy [PERIOD]
aggressive [AND] foolish [IMPLY] average [PERIOD]
famous [AND] joyous [IMPLY] average [PERIOD]
long [IMPLY] foolish [PERIOD]
inquisitive [AND] cruel [AND] foolish [IMPLY] spotless [PERIOD]
difficult [AND] clean [IMPLY] fearless [PERIOD]
plain [AND] nervous [AND] careless [IMPLY] spotless [PERIOD]
nervous [AND] careless [IMPLY] intellectual [PERIOD]
long [AND] aggressive [IMPLY] frail [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   Cannot apply rule “intellectual ⇒ spotless” because missing: intellectual.
   Cannot apply rule “intellectual ∧ average ∧ inquisitive ⇒ spotless” because missing: intellectual, average, inquisitive.
   Cannot apply rule “aggressive ∧ fearless ⇒ spotless” because missing: aggressive, fearless.
   Cannot apply rule “fearless ∧ tidy ⇒ spotless” because missing: fearless, tidy.
   Cannot apply rule “clean ∧ cruel ∧ joyous ⇒ spotless” because missing: clean, cruel, joyous.
   Cannot apply rule “inquisitive ∧ cruel ∧ foolish ⇒ spotless” because missing: inquisitive, cruel, foolish.
   Cannot apply rule “plain ∧ nervous ∧ careless ⇒ spotless” because missing: plain, nervous, careless.
",0,7
"Facts:  Alice is confused [PERIOD] Alice is inquisitive [PERIOD] Alice is sincere [PERIOD]
Rules:
comfortable [AND] sincere [AND] bad-tempered [IMPLY] old-fashioned [PERIOD]
inquisitive [AND] old-fashioned [AND] bad-tempered [IMPLY] comfortable [PERIOD]
frightened [IMPLY] sincere [PERIOD]
wide-eyed [AND] frightened [IMPLY] inquisitive [PERIOD]
bad-tempered [IMPLY] frightened [PERIOD]
old-fashioned [IMPLY] frightened [PERIOD]
confused [AND] embarrassed [IMPLY] frightened [PERIOD]
bad-tempered [AND] frightened [IMPLY] wide-eyed [PERIOD]
embarrassed [IMPLY] sincere [PERIOD]
versatile [IMPLY] confused [PERIOD]
frightened [AND] embarrassed [AND] wide-eyed [IMPLY] sincere [PERIOD]
wide-eyed [AND] inquisitive [AND] lonely [IMPLY] frightened [PERIOD]
lonely [AND] versatile [AND] bad-tempered [IMPLY] confused [PERIOD]
comfortable [AND] old-fashioned [AND] inquisitive [IMPLY] frightened [PERIOD]
sincere [IMPLY] confused [PERIOD]
inquisitive [AND] lonely [AND] sincere [IMPLY] comfortable [PERIOD]
lonely [AND] inquisitive [AND] bad-tempered [IMPLY] sincere [PERIOD]
embarrassed [AND] versatile [AND] old-fashioned [IMPLY] comfortable [PERIOD]
confused [AND] lonely [IMPLY] frightened [PERIOD]
inquisitive [AND] comfortable [AND] confused [IMPLY] embarrassed [PERIOD]
lonely [AND] embarrassed [IMPLY] versatile [PERIOD]
confused [AND] lonely [IMPLY] versatile [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   No rule concludes “bad-tempered.”
",0,1
"Facts:  Alice is bad-tempered [PERIOD] Alice is helpless [PERIOD] Alice is intellectual [PERIOD] Alice is calm [PERIOD] Alice is anxious [PERIOD] Alice is troubled [PERIOD] Alice is perfect [PERIOD] Alice is zealous [PERIOD] Alice is thoughtful [PERIOD] Alice is hypocritical [PERIOD] Alice is thoughtless [PERIOD]
Rules:
muddy [AND] reserved [IMPLY] helpless [PERIOD]
glamorous [IMPLY] average [PERIOD]
smart [IMPLY] helpless [PERIOD]
adorable [IMPLY] bad-tempered [PERIOD]
intellectual [IMPLY] victorious [PERIOD]
lonely [IMPLY] busy [PERIOD]
lonely [AND] hurt [IMPLY] dishonest [PERIOD]
calm [IMPLY] smart [PERIOD]
careless [IMPLY] thoughtless [PERIOD]
average [IMPLY] adorable [PERIOD]
strange [AND] thoughtful [IMPLY] anxious [PERIOD]
reserved [IMPLY] adorable [PERIOD]
strange [AND] calm [IMPLY] intellectual [PERIOD]
nervous [AND] glamorous [AND] reserved [IMPLY] disobedient [PERIOD]
helpless [AND] distinct [IMPLY] unpleasant [PERIOD]
intellectual [AND] strange [AND] victorious [IMPLY] disobedient [PERIOD]
troubled [AND] muddy [AND] hurt [IMPLY] adorable [PERIOD]
average [AND] adorable [IMPLY] strange [PERIOD]
thoughtful [AND] lonely [IMPLY] dishonest [PERIOD]
zealous [AND] nervous [IMPLY] strange [PERIOD]
anxious [AND] calm [IMPLY] helpless [PERIOD]
anxious [AND] calm [IMPLY] perfect [PERIOD]
hypocritical [AND] glamorous [IMPLY] troubled [PERIOD]
nervous [AND] anxious [IMPLY] strange [PERIOD]
lonely [AND] average [IMPLY] troubled [PERIOD]
dishonest [AND] thoughtless [AND] nervous [IMPLY] average [PERIOD]
troubled [AND] victorious [AND] smart [IMPLY] thoughtful [PERIOD]
helpless [AND] combative [AND] bad-tempered [IMPLY] troubled [PERIOD]
nervous [AND] zealous [AND] muddy [IMPLY] busy [PERIOD]
smart [IMPLY] thoughtful [PERIOD]
victorious [AND] smart [IMPLY] perfect [PERIOD]
victorious [AND] nervous [IMPLY] busy [PERIOD]
troubled [IMPLY] thoughtful [PERIOD]
intellectual [AND] perfect [IMPLY] zealous [PERIOD]
average [AND] anxious [AND] hurt [IMPLY] troubled [PERIOD]
distinct [AND] careless [AND] lonely [IMPLY] busy [PERIOD]
bad-tempered [IMPLY] combative [PERIOD]
reserved [AND] disobedient [IMPLY] hurt [PERIOD]
dishonest [AND] hypocritical [IMPLY] muddy [PERIOD]
victorious [AND] perfect [IMPLY] unpleasant [PERIOD]
enchanting [AND] average [IMPLY] intellectual [PERIOD]
lonely [AND] thoughtful [AND] distinct [IMPLY] adorable [PERIOD]
lonely [AND] thoughtless [AND] enchanting [IMPLY] careless [PERIOD]
bad-tempered [IMPLY] disobedient [PERIOD]
distinct [IMPLY] unpleasant [PERIOD]
careless [AND] lonely [IMPLY] perfect [PERIOD]
lonely [IMPLY] careless [PERIOD]
hurt [AND] dishonest [IMPLY] helpless [PERIOD]
thoughtless [AND] thoughtful [AND] nervous [IMPLY] dishonest [PERIOD]
dishonest [IMPLY] helpless [PERIOD]
busy [AND] reserved [IMPLY] hurt [PERIOD]
victorious [AND] troubled [IMPLY] enchanting [PERIOD]
bad-tempered [AND] average [AND] calm [IMPLY] victorious [PERIOD]
distinct [AND] thoughtless [IMPLY] troubled [PERIOD]
average [AND] careless [AND] distinct [IMPLY] lonely [PERIOD]
distinct [AND] muddy [IMPLY] combative [PERIOD]
victorious [AND] perfect [AND] nervous [IMPLY] glamorous [PERIOD]
distinct [IMPLY] helpless [PERIOD]
nervous [IMPLY] careless [PERIOD]
hurt [AND] anxious [IMPLY] hypocritical [PERIOD]
hypocritical [AND] unpleasant [IMPLY] muddy [PERIOD]
enchanting [AND] disobedient [IMPLY] lonely [PERIOD]
enchanting [AND] victorious [AND] nervous [IMPLY] busy [PERIOD]
intellectual [AND] lonely [IMPLY] smart [PERIOD]
unpleasant [AND] victorious [IMPLY] thoughtless [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   Cannot apply rule “glamorous ⇒ average” because missing: glamorous.
   intellectual ⇒ victorious
   victorious ∧ troubled ⇒ enchanting
   bad-tempered ⇒ disobedient
   enchanting ∧ disobedient ⇒ lonely
   thoughtful ∧ lonely ⇒ dishonest
   Cannot apply rule “dishonest ∧ thoughtless ∧ nervous ⇒ average” because missing: nervous.
",0,7
"Facts:  Alice is stubborn [PERIOD]
Rules:
stupid [AND] attractive [AND] amused [IMPLY] tidy [PERIOD]
tense [AND] talkative [AND] precious [IMPLY] embarrassed [PERIOD]
tired [AND] stubborn [AND] embarrassed [IMPLY] talkative [PERIOD]
condemned [IMPLY] ugly [PERIOD]
attractive [IMPLY] tired [PERIOD]
stupid [AND] precious [IMPLY] embarrassed [PERIOD]
precious [IMPLY] stubborn [PERIOD]
victorious [IMPLY] adorable [PERIOD]
worrisome [AND] talkative [IMPLY] shy [PERIOD]
victorious [AND] shiny [AND] precious [IMPLY] attractive [PERIOD]
stupid [AND] ugly [IMPLY] embarrassed [PERIOD]
shy [IMPLY] precious [PERIOD]
embarrassed [AND] talkative [IMPLY] shiny [PERIOD]
shy [AND] condemned [IMPLY] ugly [PERIOD]
ugly [AND] hypocritical [IMPLY] tired [PERIOD]
embarrassed [AND] tidy [AND] attractive [IMPLY] victorious [PERIOD]
stubborn [AND] embarrassed [AND] ugly [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] talkative [PERIOD]
stubborn [IMPLY] tidy [PERIOD]
cruel [IMPLY] tidy [PERIOD]
shiny [AND] precious [IMPLY] tired [PERIOD]
stubborn [AND] amused [AND] hypocritical [IMPLY] tidy [PERIOD]
tired [IMPLY] precious [PERIOD]
condemned [IMPLY] tired [PERIOD]
ugly [AND] cruel [IMPLY] stubborn [PERIOD]
stupid [AND] victorious [AND] ugly [IMPLY] attractive [PERIOD]
embarrassed [AND] stubborn [AND] shiny [IMPLY] cruel [PERIOD]
stupid [AND] shy [AND] tired [IMPLY] adorable [PERIOD]
victorious [IMPLY] talkative [PERIOD]
hypocritical [AND] condemned [IMPLY] stupid [PERIOD]
cruel [IMPLY] ugly [PERIOD]
tired [AND] tense [AND] worrisome [IMPLY] stubborn [PERIOD]
stupid [AND] attractive [IMPLY] amused [PERIOD]
tense [IMPLY] cruel [PERIOD]
precious [AND] adorable [AND] tired [IMPLY] attractive [PERIOD]
precious [IMPLY] worrisome [PERIOD]
precious [AND] condemned [IMPLY] attractive [PERIOD]
adorable [AND] embarrassed [IMPLY] precious [PERIOD]
precious [IMPLY] stupid [PERIOD]
attractive [AND] precious [IMPLY] hypocritical [PERIOD]
precious [AND] shiny [AND] attractive [IMPLY] amused [PERIOD]
talkative [AND] adorable [AND] tense [IMPLY] hypocritical [PERIOD]
precious [AND] ugly [IMPLY] attractive [PERIOD]
adorable [IMPLY] attractive [PERIOD]
hypocritical [AND] stubborn [IMPLY] condemned [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “tired ∧ stubborn ∧ embarrassed ⇒ talkative” because missing: tired, embarrassed.
   Cannot apply rule “hypocritical ⇒ talkative” because missing: hypocritical.
   Cannot apply rule “victorious ⇒ talkative” because missing: victorious.
",0,3
"Facts:  Alice is pleasant [PERIOD] Alice is friendly [PERIOD] Alice is different [PERIOD] Alice is light [PERIOD] Alice is outstanding [PERIOD] Alice is condemned [PERIOD] Alice is helpless [PERIOD] Alice is bossy [PERIOD] Alice is nervous [PERIOD] Alice is busy [PERIOD] Alice is grumpy [PERIOD] Alice is excited [PERIOD] Alice is plain [PERIOD] Alice is attractive [PERIOD] Alice is crowded [PERIOD] Alice is stubborn [PERIOD] Alice is proud [PERIOD] Alice is lonely [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
proud [AND] condemned [AND] old-fashioned [IMPLY] intellectual [PERIOD]
stubborn [IMPLY] condemned [PERIOD]
stubborn [AND] proud [IMPLY] intellectual [PERIOD]
busy [IMPLY] plain [PERIOD]
old-fashioned [IMPLY] excited [PERIOD]
stubborn [AND] plain [IMPLY] lonely [PERIOD]
old-fashioned [IMPLY] crowded [PERIOD]
old-fashioned [AND] attractive [AND] disgusted [IMPLY] foolish [PERIOD]
grumpy [AND] old-fashioned [IMPLY] nervous [PERIOD]
intellectual [AND] pleasant [IMPLY] helpless [PERIOD]
disgusted [IMPLY] intellectual [PERIOD]
pleasant [IMPLY] lonely [PERIOD]
light [IMPLY] proud [PERIOD]
grumpy [IMPLY] plain [PERIOD]
grumpy [AND] stupid [IMPLY] proud [PERIOD]
light [AND] stupid [IMPLY] crowded [PERIOD]
disgusted [AND] friendly [IMPLY] stupid [PERIOD]
disgusted [AND] excited [AND] condemned [IMPLY] proud [PERIOD]
stupid [AND] bossy [IMPLY] intellectual [PERIOD]
pleasant [AND] attractive [IMPLY] stubborn [PERIOD]
busy [IMPLY] intellectual [PERIOD]
proud [IMPLY] disgusted [PERIOD]
disgusted [AND] stupid [AND] bossy [IMPLY] lonely [PERIOD]
different [IMPLY] plain [PERIOD]
crowded [AND] pleasant [AND] intellectual [IMPLY] light [PERIOD]
plain [IMPLY] busy [PERIOD]
grumpy [IMPLY] nervous [PERIOD]
excited [AND] lonely [AND] nervous [IMPLY] intellectual [PERIOD]
helpless [IMPLY] busy [PERIOD]
bossy [AND] lonely [IMPLY] intellectual [PERIOD]
disgusted [IMPLY] light [PERIOD]
friendly [IMPLY] crowded [PERIOD]
intellectual [IMPLY] old-fashioned [PERIOD]
stupid [AND] bossy [IMPLY] nervous [PERIOD]
nervous [IMPLY] old-fashioned [PERIOD]
excited [AND] different [AND] plain [IMPLY] light [PERIOD]
lonely [AND] excited [AND] old-fashioned [IMPLY] condemned [PERIOD]
old-fashioned [AND] pleasant [IMPLY] busy [PERIOD]
helpless [AND] different [AND] condemned [IMPLY] crowded [PERIOD]
crowded [AND] attractive [AND] intellectual [IMPLY] stupid [PERIOD]
grumpy [AND] outstanding [AND] proud [IMPLY] nervous [PERIOD]
plain [IMPLY] lonely [PERIOD]
excited [AND] foolish [IMPLY] bossy [PERIOD]
condemned [AND] disgusted [IMPLY] proud [PERIOD]
stupid [IMPLY] grumpy [PERIOD]
plain [AND] friendly [IMPLY] excited [PERIOD]
old-fashioned [AND] light [AND] attractive [IMPLY] busy [PERIOD]
stupid [AND] old-fashioned [AND] friendly [IMPLY] attractive [PERIOD]
old-fashioned [AND] friendly [AND] helpless [IMPLY] outstanding [PERIOD]
proud [AND] disgusted [IMPLY] lonely [PERIOD]
busy [AND] foolish [IMPLY] stubborn [PERIOD]
condemned [AND] grumpy [AND] proud [IMPLY] foolish [PERIOD]
different [AND] nervous [IMPLY] grumpy [PERIOD]
busy [AND] pleasant [AND] light [IMPLY] old-fashioned [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   proud ⇒ disgusted
   disgusted ∧ friendly ⇒ stupid
",1,2
"Facts:  Alice is horrible [PERIOD] Alice is polite [PERIOD]
Rules:
glamorous [IMPLY] polite [PERIOD]
disobedient [AND] ambitious [AND] sincere [IMPLY] thoughtful [PERIOD]
disobedient [AND] famous [IMPLY] thoughtful [PERIOD]
sleepy [AND] polite [AND] disobedient [IMPLY] fine [PERIOD]
calm [AND] thoughtful [AND] famous [IMPLY] horrible [PERIOD]
sincere [AND] thoughtful [AND] polite [IMPLY] fine [PERIOD]
ambitious [IMPLY] sleepy [PERIOD]
fine [IMPLY] famous [PERIOD]
fine [AND] horrible [AND] glamorous [IMPLY] polite [PERIOD]
thoughtful [IMPLY] disobedient [PERIOD]
horrible [AND] polite [AND] famous [IMPLY] disobedient [PERIOD]
disobedient [AND] fine [IMPLY] famous [PERIOD]
horrible [IMPLY] polite [PERIOD]
famous [AND] polite [IMPLY] calm [PERIOD]
sleepy [AND] thoughtful [IMPLY] ambitious [PERIOD]
fine [AND] horrible [AND] famous [IMPLY] sincere [PERIOD]
famous [AND] ambitious [AND] fine [IMPLY] calm [PERIOD]
thoughtful [AND] fine [AND] disobedient [IMPLY] polite [PERIOD]
ambitious [AND] sincere [AND] glamorous [IMPLY] fine [PERIOD]
fine [IMPLY] disobedient [PERIOD]
famous [AND] fine [IMPLY] sincere [PERIOD]
calm [AND] sincere [IMPLY] thoughtful [PERIOD]
thoughtful [AND] fine [IMPLY] ambitious [PERIOD]
disobedient [AND] glamorous [IMPLY] famous [PERIOD]
glamorous [AND] sincere [IMPLY] disobedient [PERIOD]
horrible [IMPLY] fine [PERIOD]
horrible [IMPLY] famous [PERIOD]
horrible [IMPLY] glamorous [PERIOD]
horrible [AND] ambitious [IMPLY] polite [PERIOD]
sleepy [AND] ambitious [IMPLY] fine [PERIOD]
polite [AND] thoughtful [AND] fine [IMPLY] famous [PERIOD]
disobedient [AND] sincere [IMPLY] polite [PERIOD]
polite [IMPLY] sincere [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   horrible ⇒ glamorous
",1,1
"Facts:  Alice is curious [PERIOD] Alice is selfish [PERIOD] Alice is rational [PERIOD] Alice is witty [PERIOD] Alice is tense [PERIOD] Alice is mean [PERIOD] Alice is foolish [PERIOD] Alice is gleaming [PERIOD]
Rules:
dull [IMPLY] quaint [PERIOD]
foolish [AND] good [IMPLY] stormy [PERIOD]
frail [AND] rational [AND] good [IMPLY] wrong [PERIOD]
calm [AND] thoughtful [AND] confused [IMPLY] rude [PERIOD]
charming [AND] thoughtful [IMPLY] fine [PERIOD]
confused [AND] witty [IMPLY] clumsy [PERIOD]
fine [IMPLY] foolish [PERIOD]
stormy [AND] curious [AND] thoughtful [IMPLY] attractive [PERIOD]
charming [IMPLY] stubborn [PERIOD]
rude [IMPLY] sincere [PERIOD]
witty [AND] good [IMPLY] confident [PERIOD]
fine [AND] gleaming [AND] average [IMPLY] tense [PERIOD]
rude [AND] charming [IMPLY] thoughtful [PERIOD]
foolish [AND] frail [IMPLY] stubborn [PERIOD]
clumsy [AND] thoughtful [AND] selfish [IMPLY] charming [PERIOD]
attractive [AND] curious [AND] thoughtful [IMPLY] tense [PERIOD]
rational [AND] fearless [IMPLY] confused [PERIOD]
witty [IMPLY] thoughtful [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   Cannot apply rule “charming ⇒ stubborn” because missing: charming.
   Cannot apply rule “foolish ∧ frail ⇒ stubborn” because missing: frail.
",0,2
"Facts: 
Rules:
hypocritical [AND] foolish [IMPLY] supportive [PERIOD]
good [IMPLY] foolish [PERIOD]
worrisome [IMPLY] supportive [PERIOD]
foolish [AND] supportive [IMPLY] nervous [PERIOD]
supportive [AND] dishonest [AND] foolish [IMPLY] nervous [PERIOD]
worrisome [IMPLY] foolish [PERIOD]
nervous [AND] worrisome [IMPLY] good [PERIOD]
good [IMPLY] supportive [PERIOD]
nervous [IMPLY] foolish [PERIOD]
good [AND] supportive [AND] amused [IMPLY] foolish [PERIOD]
hypocritical [IMPLY] supportive [PERIOD]
dishonest [IMPLY] foolish [PERIOD]
hypocritical [AND] supportive [IMPLY] amused [PERIOD]
dishonest [IMPLY] supportive [PERIOD]
supportive [IMPLY] foolish [PERIOD]
worrisome [IMPLY] disgusted [PERIOD]
hypocritical [AND] good [IMPLY] foolish [PERIOD]
worrisome [AND] foolish [AND] disgusted [IMPLY] nervous [PERIOD]
supportive [AND] foolish [IMPLY] hypocritical [PERIOD]
nervous [IMPLY] worrisome [PERIOD]
amused [AND] nervous [IMPLY] supportive [PERIOD]
foolish [AND] disgusted [IMPLY] worrisome [PERIOD]
foolish [AND] supportive [AND] amused [IMPLY] good [PERIOD]
disgusted [AND] supportive [IMPLY] nervous [PERIOD]
supportive [IMPLY] amused [PERIOD]
supportive [AND] worrisome [IMPLY] dishonest [PERIOD]
amused [IMPLY] good [PERIOD]
hypocritical [AND] good [AND] dishonest [IMPLY] disgusted [PERIOD]
good [AND] foolish [IMPLY] supportive [PERIOD]
nervous [IMPLY] hypocritical [PERIOD]
disgusted [AND] hypocritical [AND] supportive [IMPLY] amused [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   Cannot apply rule “supportive ∧ worrisome ⇒ dishonest” because missing: supportive, worrisome.
",0,1
"Facts:  Alice is shy [PERIOD] Alice is cute [PERIOD] Alice is tense [PERIOD] Alice is curious [PERIOD] Alice is perfect [PERIOD] Alice is confused [PERIOD]
Rules:
sensible [IMPLY] tired [PERIOD]
disobedient [AND] perfect [IMPLY] cute [PERIOD]
cute [IMPLY] perfect [PERIOD]
confused [AND] bossy [AND] shy [IMPLY] joyous [PERIOD]
shy [AND] confused [AND] joyous [IMPLY] tense [PERIOD]
disobedient [AND] curious [IMPLY] tense [PERIOD]
perfect [IMPLY] wandering [PERIOD]
cute [AND] disobedient [IMPLY] bossy [PERIOD]
confused [AND] perfect [IMPLY] cute [PERIOD]
diplomatic [IMPLY] tense [PERIOD]
disobedient [AND] confused [IMPLY] polite [PERIOD]
diplomatic [AND] wandering [IMPLY] curious [PERIOD]
confused [IMPLY] bossy [PERIOD]
bossy [AND] joyous [AND] cute [IMPLY] shy [PERIOD]
polite [AND] confused [AND] courageous [IMPLY] cute [PERIOD]
perfect [IMPLY] tense [PERIOD]
perfect [IMPLY] curious [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   perfect ⇒ wandering
",1,1
"Facts:  Alice is courageous [PERIOD] Alice is joyous [PERIOD] Alice is dull [PERIOD] Alice is wrong [PERIOD] Alice is proud [PERIOD] Alice is stormy [PERIOD]
Rules:
excited [AND] wrong [IMPLY] different [PERIOD]
excited [IMPLY] wrong [PERIOD]
stormy [AND] sleepy [IMPLY] courageous [PERIOD]
modern [AND] crowded [IMPLY] embarrassed [PERIOD]
thoughtful [AND] wrong [AND] scared [IMPLY] sleepy [PERIOD]
thoughtful [AND] embarrassed [AND] wrong [IMPLY] different [PERIOD]
vivacious [AND] smart [IMPLY] dull [PERIOD]
scared [IMPLY] different [PERIOD]
modern [IMPLY] wandering [PERIOD]
serious [AND] dull [IMPLY] different [PERIOD]
different [AND] crowded [AND] vivacious [IMPLY] stormy [PERIOD]
serious [IMPLY] sleepy [PERIOD]
excited [IMPLY] precious [PERIOD]
powerful [IMPLY] courageous [PERIOD]
smart [AND] crowded [AND] wrong [IMPLY] embarrassed [PERIOD]
tired [AND] stormy [IMPLY] vivacious [PERIOD]
dull [AND] different [AND] thoughtful [IMPLY] wrong [PERIOD]
different [AND] proud [IMPLY] courageous [PERIOD]
embarrassed [IMPLY] scared [PERIOD]
stormy [IMPLY] sleepy [PERIOD]
stubborn [AND] powerful [AND] sleepy [IMPLY] intellectual [PERIOD]
crowded [IMPLY] proud [PERIOD]
proud [AND] crowded [IMPLY] wrong [PERIOD]
joyous [AND] dull [AND] excited [IMPLY] different [PERIOD]
tired [AND] different [AND] embarrassed [IMPLY] dull [PERIOD]
dull [AND] powerful [AND] scared [IMPLY] proud [PERIOD]
proud [AND] crowded [AND] dull [IMPLY] precious [PERIOD]
courageous [IMPLY] tired [PERIOD]
precious [IMPLY] different [PERIOD]
different [IMPLY] excited [PERIOD]
different [AND] thoughtful [AND] vivacious [IMPLY] modern [PERIOD]
stubborn [AND] powerful [IMPLY] vivacious [PERIOD]
dull [IMPLY] wrong [PERIOD]
excited [AND] embarrassed [AND] joyous [IMPLY] scared [PERIOD]
tired [AND] serious [AND] crowded [IMPLY] intellectual [PERIOD]
crowded [AND] excited [AND] powerful [IMPLY] wrong [PERIOD]
proud [AND] wandering [IMPLY] courageous [PERIOD]
different [AND] proud [AND] thoughtful [IMPLY] scared [PERIOD]
stormy [AND] modern [AND] dull [IMPLY] intellectual [PERIOD]
stubborn [AND] serious [AND] thoughtful [IMPLY] courageous [PERIOD]
precious [IMPLY] dull [PERIOD]
proud [AND] tired [IMPLY] stubborn [PERIOD]
powerful [IMPLY] joyous [PERIOD]
crowded [AND] proud [IMPLY] scared [PERIOD]
stubborn [AND] wandering [IMPLY] thoughtful [PERIOD]
wrong [IMPLY] thoughtful [PERIOD]
dull [AND] powerful [IMPLY] different [PERIOD]
different [AND] wandering [AND] thoughtful [IMPLY] embarrassed [PERIOD]
courageous [AND] tired [IMPLY] scared [PERIOD]
smart [AND] embarrassed [AND] crowded [IMPLY] excited [PERIOD]
different [AND] dull [AND] joyous [IMPLY] sleepy [PERIOD]
Query: Alice is modern [PERIOD]","Proof chain:
   courageous ⇒ tired
   courageous ∧ tired ⇒ scared
   scared ⇒ different
   wrong ⇒ thoughtful
   courageous ⇒ tired
   tired ∧ stormy ⇒ vivacious
   different ∧ thoughtful ∧ vivacious ⇒ modern
",1,7
"Facts:  Alice is average [PERIOD] Alice is confused [PERIOD]
Rules:
average [AND] dishonest [AND] stupid [IMPLY] elegant [PERIOD]
precious [AND] dishonest [AND] stupid [IMPLY] broad-minded [PERIOD]
helpless [IMPLY] disgusted [PERIOD]
precious [AND] broad-minded [IMPLY] fine [PERIOD]
talkative [AND] mysterious [AND] witty [IMPLY] tender [PERIOD]
exuberant [AND] vivacious [AND] ambitious [IMPLY] precious [PERIOD]
careless [AND] vivacious [AND] average [IMPLY] glamorous [PERIOD]
tender [IMPLY] dishonest [PERIOD]
witty [AND] glamorous [AND] ambitious [IMPLY] broad-minded [PERIOD]
busy [AND] broad-minded [AND] easy [IMPLY] exuberant [PERIOD]
talkative [AND] busy [IMPLY] precious [PERIOD]
broad-minded [AND] beautiful [IMPLY] confused [PERIOD]
disgusted [AND] careless [IMPLY] confused [PERIOD]
disgusted [AND] precious [AND] exuberant [IMPLY] mysterious [PERIOD]
elegant [AND] helpless [IMPLY] broad-minded [PERIOD]
stupid [AND] mean [IMPLY] exuberant [PERIOD]
vivacious [AND] helpless [AND] confused [IMPLY] precious [PERIOD]
mysterious [IMPLY] disgusted [PERIOD]
diplomatic [IMPLY] careless [PERIOD]
beautiful [AND] glamorous [IMPLY] easy [PERIOD]
precious [AND] easy [AND] elegant [IMPLY] disgusted [PERIOD]
precious [AND] dishonest [AND] busy [IMPLY] witty [PERIOD]
busy [AND] mysterious [IMPLY] easy [PERIOD]
fine [AND] exuberant [IMPLY] mean [PERIOD]
helpless [IMPLY] mysterious [PERIOD]
mysterious [AND] disgusted [AND] dishonest [IMPLY] confused [PERIOD]
beautiful [AND] distinct [AND] vivacious [IMPLY] careless [PERIOD]
talkative [IMPLY] beautiful [PERIOD]
elegant [AND] talkative [AND] careless [IMPLY] helpless [PERIOD]
confused [AND] average [AND] stupid [IMPLY] busy [PERIOD]
exuberant [AND] dishonest [AND] precious [IMPLY] broad-minded [PERIOD]
vivacious [AND] beautiful [AND] mysterious [IMPLY] talkative [PERIOD]
mean [AND] disgusted [AND] broad-minded [IMPLY] elegant [PERIOD]
mean [AND] talkative [IMPLY] diplomatic [PERIOD]
careless [AND] helpless [AND] broad-minded [IMPLY] beautiful [PERIOD]
mysterious [AND] talkative [AND] broad-minded [IMPLY] confused [PERIOD]
beautiful [AND] mean [AND] easy [IMPLY] diplomatic [PERIOD]
vivacious [IMPLY] precious [PERIOD]
witty [IMPLY] beautiful [PERIOD]
average [AND] beautiful [IMPLY] careless [PERIOD]
helpless [AND] easy [IMPLY] precious [PERIOD]
average [IMPLY] vivacious [PERIOD]
average [IMPLY] glamorous [PERIOD]
careless [AND] elegant [IMPLY] disgusted [PERIOD]
confused [AND] mysterious [AND] careless [IMPLY] mean [PERIOD]
busy [AND] ambitious [AND] fine [IMPLY] broad-minded [PERIOD]
confused [IMPLY] stupid [PERIOD]
helpless [AND] tender [AND] careless [IMPLY] fine [PERIOD]
fine [AND] mysterious [IMPLY] beautiful [PERIOD]
confused [IMPLY] helpless [PERIOD]
talkative [IMPLY] elegant [PERIOD]
ambitious [IMPLY] distinct [PERIOD]
talkative [AND] vivacious [IMPLY] helpless [PERIOD]
disgusted [IMPLY] talkative [PERIOD]
dishonest [IMPLY] beautiful [PERIOD]
diplomatic [IMPLY] confused [PERIOD]
diplomatic [IMPLY] elegant [PERIOD]
mysterious [AND] dishonest [IMPLY] exuberant [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   confused ⇒ helpless
   helpless ⇒ disgusted
   disgusted ⇒ talkative
   talkative ⇒ elegant
   confused ⇒ helpless
   elegant ∧ helpless ⇒ broad-minded
",1,6
"Facts:  Alice is mysterious [PERIOD]
Rules:
wrong [IMPLY] polite [PERIOD]
good [AND] attractive [IMPLY] rational [PERIOD]
mysterious [AND] messy [AND] inquisitive [IMPLY] muddy [PERIOD]
wide-eyed [IMPLY] old-fashioned [PERIOD]
polite [IMPLY] attractive [PERIOD]
inquisitive [AND] polite [IMPLY] ambitious [PERIOD]
sensible [AND] talkative [AND] anxious [IMPLY] homely [PERIOD]
muddy [AND] talkative [IMPLY] attractive [PERIOD]
old-fashioned [AND] intellectual [IMPLY] homely [PERIOD]
diplomatic [IMPLY] anxious [PERIOD]
mysterious [IMPLY] talkative [PERIOD]
intellectual [AND] sensible [AND] worried [IMPLY] glamorous [PERIOD]
sensible [AND] stubborn [AND] mysterious [IMPLY] disobedient [PERIOD]
intellectual [IMPLY] stubborn [PERIOD]
inquisitive [AND] worried [IMPLY] polite [PERIOD]
old-fashioned [AND] wide-eyed [AND] attractive [IMPLY] sensible [PERIOD]
messy [AND] muddy [AND] polite [IMPLY] rational [PERIOD]
glamorous [IMPLY] wrong [PERIOD]
stubborn [AND] anxious [AND] attractive [IMPLY] worried [PERIOD]
old-fashioned [AND] pessimistic [IMPLY] wrong [PERIOD]
attractive [IMPLY] disobedient [PERIOD]
homely [IMPLY] inquisitive [PERIOD]
diplomatic [AND] worried [AND] intellectual [IMPLY] wrong [PERIOD]
attractive [AND] old-fashioned [AND] beautiful [IMPLY] inquisitive [PERIOD]
inquisitive [AND] good [IMPLY] wrong [PERIOD]
wide-eyed [AND] rational [IMPLY] sensible [PERIOD]
glamorous [IMPLY] homely [PERIOD]
pessimistic [IMPLY] attractive [PERIOD]
disobedient [IMPLY] wide-eyed [PERIOD]
mysterious [AND] muddy [AND] beautiful [IMPLY] anxious [PERIOD]
stubborn [AND] mysterious [IMPLY] muddy [PERIOD]
mysterious [AND] diplomatic [IMPLY] homely [PERIOD]
talkative [AND] glamorous [AND] sensible [IMPLY] anxious [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   Cannot apply rule “intellectual ⇒ stubborn” because missing: intellectual.
",0,1
"Facts:  Alice is modern [PERIOD] Alice is fancy [PERIOD] Alice is frantic [PERIOD] Alice is rational [PERIOD] Alice is lucky [PERIOD]
Rules:
rational [AND] mean [AND] fine [IMPLY] fancy [PERIOD]
fine [AND] perfect [AND] frantic [IMPLY] mean [PERIOD]
fancy [IMPLY] mean [PERIOD]
perfect [AND] fancy [IMPLY] mean [PERIOD]
rational [AND] light [IMPLY] fine [PERIOD]
perfect [AND] light [AND] modern [IMPLY] cooperative [PERIOD]
lucky [AND] frantic [AND] rational [IMPLY] fancy [PERIOD]
modern [AND] light [AND] fine [IMPLY] frantic [PERIOD]
fine [AND] broad-minded [IMPLY] mean [PERIOD]
rational [AND] modern [AND] cooperative [IMPLY] mean [PERIOD]
fancy [AND] perfect [IMPLY] rational [PERIOD]
light [AND] fancy [AND] cooperative [IMPLY] rational [PERIOD]
frantic [AND] mean [AND] enchanting [IMPLY] rational [PERIOD]
perfect [AND] lucky [AND] enchanting [IMPLY] fine [PERIOD]
modern [AND] perfect [AND] fine [IMPLY] cooperative [PERIOD]
modern [AND] mean [AND] cooperative [IMPLY] rational [PERIOD]
lucky [IMPLY] perfect [PERIOD]
perfect [AND] light [AND] fine [IMPLY] modern [PERIOD]
fine [AND] perfect [AND] fancy [IMPLY] modern [PERIOD]
frantic [AND] fine [IMPLY] light [PERIOD]
light [AND] broad-minded [IMPLY] fancy [PERIOD]
fancy [AND] broad-minded [AND] frantic [IMPLY] lucky [PERIOD]
lucky [AND] perfect [IMPLY] fine [PERIOD]
fancy [AND] lucky [AND] fine [IMPLY] rational [PERIOD]
enchanting [AND] perfect [AND] modern [IMPLY] broad-minded [PERIOD]
cooperative [AND] rational [IMPLY] perfect [PERIOD]
rational [AND] lucky [AND] broad-minded [IMPLY] fine [PERIOD]
rational [AND] light [AND] frantic [IMPLY] cooperative [PERIOD]
broad-minded [AND] light [AND] enchanting [IMPLY] fancy [PERIOD]
fancy [IMPLY] modern [PERIOD]
fine [AND] broad-minded [AND] mean [IMPLY] fancy [PERIOD]
perfect [AND] lucky [AND] light [IMPLY] frantic [PERIOD]
mean [IMPLY] modern [PERIOD]
modern [AND] fine [AND] mean [IMPLY] cooperative [PERIOD]
fancy [IMPLY] rational [PERIOD]
frantic [AND] broad-minded [AND] perfect [IMPLY] lucky [PERIOD]
fine [AND] fancy [IMPLY] light [PERIOD]
perfect [AND] fine [IMPLY] light [PERIOD]
modern [IMPLY] mean [PERIOD]
perfect [IMPLY] frantic [PERIOD]
enchanting [IMPLY] rational [PERIOD]
rational [AND] fancy [AND] broad-minded [IMPLY] lucky [PERIOD]
mean [AND] enchanting [AND] modern [IMPLY] lucky [PERIOD]
cooperative [IMPLY] rational [PERIOD]
enchanting [AND] fine [IMPLY] broad-minded [PERIOD]
rational [IMPLY] fine [PERIOD]
perfect [AND] frantic [AND] modern [IMPLY] rational [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   lucky ⇒ perfect
   Cannot apply rule “enchanting ∧ perfect ∧ modern ⇒ broad-minded” because missing: enchanting.
   rational ⇒ fine
   Cannot apply rule “enchanting ∧ fine ⇒ broad-minded” because missing: enchanting.
",0,4
"Facts:  Alice is outstanding [PERIOD]
Rules:
nervous [AND] smart [AND] cruel [IMPLY] outstanding [PERIOD]
smart [AND] cruel [IMPLY] jittery [PERIOD]
nervous [AND] cruel [AND] jittery [IMPLY] smart [PERIOD]
jittery [AND] cruel [AND] outstanding [IMPLY] smart [PERIOD]
cruel [AND] outstanding [IMPLY] smart [PERIOD]
outstanding [AND] smart [IMPLY] jittery [PERIOD]
cruel [AND] outstanding [AND] smart [IMPLY] jittery [PERIOD]
nervous [AND] smart [AND] outstanding [IMPLY] cruel [PERIOD]
Query: Alice is smart [PERIOD]","Proof chain:
   Cannot apply rule “nervous ∧ cruel ∧ jittery ⇒ smart” because missing: nervous, cruel, jittery.
   Cannot apply rule “jittery ∧ cruel ∧ outstanding ⇒ smart” because missing: jittery, cruel.
   Cannot apply rule “cruel ∧ outstanding ⇒ smart” because missing: cruel.
",0,3
"Facts: 
Rules:
innocent [IMPLY] mysterious [PERIOD]
famous [AND] innocent [IMPLY] stormy [PERIOD]
mysterious [AND] cooperative [IMPLY] stormy [PERIOD]
dull [AND] stormy [AND] mysterious [IMPLY] fragile [PERIOD]
stormy [AND] fragile [AND] scared [IMPLY] charming [PERIOD]
charming [AND] famous [AND] fragile [IMPLY] scared [PERIOD]
cooperative [AND] fragile [AND] famous [IMPLY] scared [PERIOD]
scared [IMPLY] stormy [PERIOD]
cooperative [AND] stormy [IMPLY] fragile [PERIOD]
mysterious [IMPLY] scared [PERIOD]
fragile [AND] famous [IMPLY] dull [PERIOD]
innocent [IMPLY] stormy [PERIOD]
innocent [AND] mysterious [IMPLY] fragile [PERIOD]
cooperative [AND] innocent [IMPLY] mysterious [PERIOD]
charming [AND] fragile [AND] dull [IMPLY] scared [PERIOD]
charming [IMPLY] mysterious [PERIOD]
charming [AND] fragile [AND] scared [IMPLY] dull [PERIOD]
fragile [IMPLY] scared [PERIOD]
scared [IMPLY] mysterious [PERIOD]
innocent [AND] famous [AND] stormy [IMPLY] charming [PERIOD]
charming [AND] innocent [IMPLY] mysterious [PERIOD]
charming [AND] scared [IMPLY] mysterious [PERIOD]
scared [AND] stormy [IMPLY] fragile [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   Cannot apply rule “innocent ⇒ mysterious” because missing: innocent.
   Cannot apply rule “cooperative ∧ innocent ⇒ mysterious” because missing: cooperative, innocent.
   Cannot apply rule “charming ⇒ mysterious” because missing: charming.
   Cannot apply rule “scared ⇒ mysterious” because missing: scared.
   Cannot apply rule “charming ∧ innocent ⇒ mysterious” because missing: charming, innocent.
   Cannot apply rule “charming ∧ scared ⇒ mysterious” because missing: charming, scared.
",0,6
"Facts:  Alice is gleaming [PERIOD] Alice is scared [PERIOD] Alice is aggressive [PERIOD] Alice is proud [PERIOD] Alice is stormy [PERIOD] Alice is uptight [PERIOD] Alice is tidy [PERIOD] Alice is supportive [PERIOD] Alice is smart [PERIOD] Alice is friendly [PERIOD] Alice is innocent [PERIOD] Alice is calm [PERIOD] Alice is intellectual [PERIOD] Alice is glamorous [PERIOD]
Rules:
smart [AND] victorious [AND] innocent [IMPLY] gleaming [PERIOD]
friendly [AND] stormy [AND] gleaming [IMPLY] innocent [PERIOD]
tired [AND] gleaming [IMPLY] attentive [PERIOD]
courageous [IMPLY] horrible [PERIOD]
courageous [IMPLY] scared [PERIOD]
smart [IMPLY] tired [PERIOD]
tidy [AND] supportive [AND] strange [IMPLY] gleaming [PERIOD]
scared [AND] proud [IMPLY] supportive [PERIOD]
innocent [AND] courageous [AND] fearless [IMPLY] horrible [PERIOD]
strange [AND] plain [IMPLY] glamorous [PERIOD]
gleaming [IMPLY] friendly [PERIOD]
horrible [IMPLY] tidy [PERIOD]
plain [IMPLY] calm [PERIOD]
calm [AND] aggressive [IMPLY] proud [PERIOD]
victorious [AND] innocent [AND] tired [IMPLY] proud [PERIOD]
horrible [AND] friendly [AND] victorious [IMPLY] innocent [PERIOD]
supportive [AND] courageous [AND] calm [IMPLY] strange [PERIOD]
glamorous [AND] victorious [IMPLY] plain [PERIOD]
Query: Alice is tired [PERIOD]","Proof chain:
   smart ⇒ tired
",1,1
"Facts:  Alice is attractive [PERIOD] Alice is impatient [PERIOD] Alice is frail [PERIOD] Alice is cute [PERIOD] Alice is innocent [PERIOD] Alice is average [PERIOD] Alice is rude [PERIOD] Alice is strange [PERIOD] Alice is clumsy [PERIOD] Alice is courageous [PERIOD] Alice is stormy [PERIOD] Alice is cooperative [PERIOD] Alice is popular [PERIOD]
Rules:
bored [AND] charming [IMPLY] friendly [PERIOD]
enchanting [AND] long [AND] homely [IMPLY] bored [PERIOD]
friendly [AND] courageous [AND] clumsy [IMPLY] innocent [PERIOD]
long [IMPLY] strange [PERIOD]
courageous [AND] average [AND] innocent [IMPLY] long [PERIOD]
stormy [IMPLY] average [PERIOD]
stormy [AND] impatient [IMPLY] attractive [PERIOD]
strange [AND] frail [IMPLY] stormy [PERIOD]
quaint [IMPLY] attractive [PERIOD]
frail [AND] homely [IMPLY] impatient [PERIOD]
average [AND] stormy [IMPLY] courageous [PERIOD]
courageous [AND] innocent [AND] bored [IMPLY] quaint [PERIOD]
enchanting [AND] clumsy [IMPLY] charming [PERIOD]
charming [AND] long [AND] innocent [IMPLY] bored [PERIOD]
enchanting [AND] attractive [IMPLY] long [PERIOD]
friendly [IMPLY] attractive [PERIOD]
courageous [AND] quaint [IMPLY] stormy [PERIOD]
tense [AND] average [AND] bored [IMPLY] innocent [PERIOD]
tense [IMPLY] strange [PERIOD]
charming [AND] attractive [IMPLY] courageous [PERIOD]
rude [AND] courageous [AND] quaint [IMPLY] enchanting [PERIOD]
average [AND] stormy [AND] frail [IMPLY] stupid [PERIOD]
bored [AND] homely [AND] stormy [IMPLY] popular [PERIOD]
long [AND] average [AND] charming [IMPLY] enchanting [PERIOD]
charming [AND] stormy [AND] stupid [IMPLY] enchanting [PERIOD]
stormy [AND] strange [AND] enchanting [IMPLY] rude [PERIOD]
long [AND] courageous [IMPLY] friendly [PERIOD]
popular [AND] clumsy [AND] cute [IMPLY] charming [PERIOD]
tense [AND] impatient [AND] bored [IMPLY] cute [PERIOD]
friendly [AND] stormy [IMPLY] clumsy [PERIOD]
frail [AND] stupid [IMPLY] friendly [PERIOD]
cute [IMPLY] clumsy [PERIOD]
quaint [IMPLY] impatient [PERIOD]
friendly [AND] clumsy [IMPLY] enchanting [PERIOD]
average [AND] tense [AND] stormy [IMPLY] enchanting [PERIOD]
rude [AND] charming [IMPLY] frail [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   popular ∧ clumsy ∧ cute ⇒ charming
   courageous ∧ average ∧ innocent ⇒ long
   charming ∧ long ∧ innocent ⇒ bored
   courageous ∧ innocent ∧ bored ⇒ quaint
",1,4
"Facts:  Alice is mysterious [PERIOD]
Rules:
sleepy [AND] outstanding [IMPLY] thoughtful [PERIOD]
sleepy [AND] adorable [IMPLY] thoughtful [PERIOD]
sleepy [AND] adorable [AND] stormy [IMPLY] thoughtful [PERIOD]
outstanding [AND] sleepy [AND] adorable [IMPLY] mysterious [PERIOD]
outstanding [AND] adorable [AND] mysterious [IMPLY] diplomatic [PERIOD]
thoughtful [AND] adorable [AND] mysterious [IMPLY] diplomatic [PERIOD]
outstanding [AND] diplomatic [IMPLY] adorable [PERIOD]
stormy [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] adorable [PERIOD]
diplomatic [IMPLY] outstanding [PERIOD]
outstanding [AND] adorable [AND] thoughtful [IMPLY] mysterious [PERIOD]
adorable [AND] mysterious [AND] thoughtful [IMPLY] outstanding [PERIOD]
adorable [AND] diplomatic [AND] outstanding [IMPLY] sleepy [PERIOD]
stormy [AND] diplomatic [IMPLY] adorable [PERIOD]
outstanding [IMPLY] mysterious [PERIOD]
sleepy [AND] thoughtful [AND] stormy [IMPLY] diplomatic [PERIOD]
outstanding [IMPLY] stormy [PERIOD]
stormy [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] sleepy [PERIOD]
diplomatic [IMPLY] adorable [PERIOD]
thoughtful [AND] outstanding [AND] adorable [IMPLY] stormy [PERIOD]
mysterious [AND] diplomatic [AND] adorable [IMPLY] thoughtful [PERIOD]
adorable [AND] mysterious [IMPLY] thoughtful [PERIOD]
stormy [IMPLY] sleepy [PERIOD]
outstanding [IMPLY] diplomatic [PERIOD]
sleepy [AND] stormy [IMPLY] diplomatic [PERIOD]
sleepy [AND] mysterious [IMPLY] adorable [PERIOD]
adorable [AND] sleepy [IMPLY] stormy [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   mysterious ⇒ sleepy
   sleepy ∧ mysterious ⇒ adorable
   mysterious ⇒ sleepy
   adorable ∧ sleepy ⇒ stormy
   stormy ⇒ outstanding
",1,5
"Facts:  Alice is outstanding [PERIOD]
Rules:
thoughtless [IMPLY] beautiful [PERIOD]
beautiful [AND] attentive [AND] difficult [IMPLY] thoughtless [PERIOD]
attentive [AND] beautiful [IMPLY] difficult [PERIOD]
thoughtless [AND] beautiful [IMPLY] attentive [PERIOD]
outstanding [AND] difficult [AND] beautiful [IMPLY] thoughtless [PERIOD]
selfish [AND] attentive [AND] outstanding [IMPLY] thoughtless [PERIOD]
difficult [IMPLY] attentive [PERIOD]
outstanding [AND] thoughtless [AND] difficult [IMPLY] attentive [PERIOD]
thoughtless [AND] difficult [IMPLY] beautiful [PERIOD]
outstanding [AND] beautiful [AND] thoughtless [IMPLY] attentive [PERIOD]
attentive [AND] outstanding [AND] beautiful [IMPLY] difficult [PERIOD]
attentive [AND] beautiful [IMPLY] outstanding [PERIOD]
outstanding [AND] thoughtless [IMPLY] difficult [PERIOD]
outstanding [IMPLY] beautiful [PERIOD]
attentive [AND] selfish [IMPLY] difficult [PERIOD]
beautiful [AND] attentive [AND] thoughtless [IMPLY] outstanding [PERIOD]
selfish [IMPLY] beautiful [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   outstanding ⇒ beautiful
   Cannot apply rule “attentive ∧ beautiful ⇒ difficult” because missing: attentive.
   outstanding ⇒ beautiful
   Cannot apply rule “attentive ∧ outstanding ∧ beautiful ⇒ difficult” because missing: attentive.
   Cannot apply rule “outstanding ∧ thoughtless ⇒ difficult” because missing: thoughtless.
   Cannot apply rule “attentive ∧ selfish ⇒ difficult” because missing: attentive, selfish.
",0,6
"Facts:  Alice is straightforward [PERIOD] Alice is messy [PERIOD] Alice is broad-minded [PERIOD] Alice is tidy [PERIOD] Alice is modern [PERIOD] Alice is rude [PERIOD] Alice is gifted [PERIOD] Alice is diplomatic [PERIOD] Alice is ugly [PERIOD] Alice is outstanding [PERIOD]
Rules:
serious [AND] thoughtless [AND] crowded [IMPLY] impatient [PERIOD]
rude [AND] rational [IMPLY] modern [PERIOD]
broad-minded [IMPLY] impartial [PERIOD]
grumpy [IMPLY] ugly [PERIOD]
worrisome [IMPLY] broad-minded [PERIOD]
diplomatic [IMPLY] hypocritical [PERIOD]
confused [AND] impartial [AND] impatient [IMPLY] crowded [PERIOD]
talented [AND] proud [AND] rude [IMPLY] thoughtless [PERIOD]
straightforward [AND] pleasant [IMPLY] tidy [PERIOD]
hypocritical [AND] talented [AND] impartial [IMPLY] ugly [PERIOD]
pleasant [AND] impartial [AND] thoughtful [IMPLY] crowded [PERIOD]
outstanding [AND] rude [AND] modern [IMPLY] pleasant [PERIOD]
serious [AND] messy [AND] thoughtful [IMPLY] proud [PERIOD]
worrisome [AND] broad-minded [AND] diplomatic [IMPLY] outstanding [PERIOD]
pleasant [AND] outstanding [AND] ugly [IMPLY] broad-minded [PERIOD]
rude [AND] pleasant [IMPLY] rational [PERIOD]
thoughtful [AND] grumpy [IMPLY] serious [PERIOD]
straightforward [AND] fine [IMPLY] thoughtful [PERIOD]
straightforward [AND] diplomatic [IMPLY] impatient [PERIOD]
elated [IMPLY] crowded [PERIOD]
broad-minded [AND] hypocritical [IMPLY] rational [PERIOD]
fine [IMPLY] rational [PERIOD]
impatient [IMPLY] grumpy [PERIOD]
messy [AND] impartial [AND] diplomatic [IMPLY] modern [PERIOD]
thoughtless [AND] broad-minded [IMPLY] clumsy [PERIOD]
ugly [AND] hypocritical [AND] modern [IMPLY] straightforward [PERIOD]
proud [AND] worrisome [AND] ugly [IMPLY] grumpy [PERIOD]
ugly [IMPLY] thoughtful [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   No rule concludes “elated.”
",0,1
"Facts:  Alice is agreeable [PERIOD] Alice is elegant [PERIOD]
Rules:
difficult [AND] innocent [AND] victorious [IMPLY] glamorous [PERIOD]
elegant [IMPLY] glamorous [PERIOD]
glamorous [AND] innocent [AND] tender [IMPLY] versatile [PERIOD]
serious [AND] tender [AND] agreeable [IMPLY] innocent [PERIOD]
victorious [IMPLY] versatile [PERIOD]
vivacious [IMPLY] difficult [PERIOD]
outstanding [AND] innocent [IMPLY] tidy [PERIOD]
innocent [AND] tender [IMPLY] glamorous [PERIOD]
outstanding [IMPLY] innocent [PERIOD]
agreeable [AND] outstanding [AND] versatile [IMPLY] innocent [PERIOD]
versatile [AND] victorious [AND] tender [IMPLY] elegant [PERIOD]
elegant [AND] versatile [AND] tidy [IMPLY] difficult [PERIOD]
difficult [AND] agreeable [IMPLY] victorious [PERIOD]
glamorous [AND] tender [AND] agreeable [IMPLY] outstanding [PERIOD]
difficult [AND] glamorous [AND] bored [IMPLY] agreeable [PERIOD]
agreeable [AND] innocent [AND] serious [IMPLY] elegant [PERIOD]
versatile [IMPLY] victorious [PERIOD]
difficult [IMPLY] glamorous [PERIOD]
innocent [AND] outstanding [IMPLY] agreeable [PERIOD]
innocent [AND] tender [IMPLY] bored [PERIOD]
bored [AND] glamorous [AND] outstanding [IMPLY] tender [PERIOD]
outstanding [AND] versatile [IMPLY] bored [PERIOD]
tender [IMPLY] innocent [PERIOD]
serious [IMPLY] tidy [PERIOD]
agreeable [AND] versatile [AND] victorious [IMPLY] vivacious [PERIOD]
outstanding [AND] elegant [IMPLY] serious [PERIOD]
victorious [AND] elegant [AND] glamorous [IMPLY] tidy [PERIOD]
tender [AND] agreeable [AND] glamorous [IMPLY] tidy [PERIOD]
tidy [IMPLY] elegant [PERIOD]
tender [AND] serious [AND] innocent [IMPLY] glamorous [PERIOD]
serious [AND] outstanding [IMPLY] victorious [PERIOD]
glamorous [IMPLY] tender [PERIOD]
bored [IMPLY] agreeable [PERIOD]
outstanding [IMPLY] elegant [PERIOD]
victorious [AND] vivacious [IMPLY] serious [PERIOD]
agreeable [AND] serious [AND] vivacious [IMPLY] glamorous [PERIOD]
vivacious [IMPLY] tidy [PERIOD]
victorious [AND] vivacious [IMPLY] agreeable [PERIOD]
agreeable [AND] glamorous [IMPLY] vivacious [PERIOD]
glamorous [AND] tidy [AND] difficult [IMPLY] elegant [PERIOD]
serious [AND] tidy [IMPLY] tender [PERIOD]
agreeable [AND] outstanding [IMPLY] tender [PERIOD]
serious [AND] victorious [IMPLY] bored [PERIOD]
elegant [AND] vivacious [AND] glamorous [IMPLY] outstanding [PERIOD]
agreeable [AND] tidy [AND] bored [IMPLY] serious [PERIOD]
outstanding [AND] serious [IMPLY] agreeable [PERIOD]
bored [AND] versatile [IMPLY] agreeable [PERIOD]
glamorous [AND] tidy [AND] agreeable [IMPLY] victorious [PERIOD]
victorious [AND] elegant [AND] bored [IMPLY] serious [PERIOD]
tender [IMPLY] tidy [PERIOD]
Query: Alice is versatile [PERIOD]","Proof chain:
   elegant ⇒ glamorous
   elegant ⇒ glamorous
   glamorous ⇒ tender
   tender ⇒ innocent
   elegant ⇒ glamorous
   glamorous ⇒ tender
   glamorous ∧ innocent ∧ tender ⇒ versatile
",1,7
"Facts:  Alice is selfish [PERIOD] Alice is mean [PERIOD] Alice is disgusted [PERIOD] Alice is frantic [PERIOD] Alice is weary [PERIOD] Alice is helpful [PERIOD] Alice is ugly [PERIOD] Alice is foolish [PERIOD] Alice is outrageous [PERIOD] Alice is powerful [PERIOD] Alice is strange [PERIOD] Alice is excited [PERIOD] Alice is average [PERIOD] Alice is amused [PERIOD] Alice is ugliest [PERIOD] Alice is silly [PERIOD] Alice is sleepy [PERIOD] Alice is muddy [PERIOD] Alice is stormy [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
frantic [AND] foolish [AND] gorgeous [IMPLY] sleepy [PERIOD]
calm [IMPLY] strange [PERIOD]
hurt [AND] strange [AND] gorgeous [IMPLY] stormy [PERIOD]
powerful [AND] excited [AND] sleepy [IMPLY] helpful [PERIOD]
gorgeous [AND] muddy [IMPLY] anxious [PERIOD]
helpful [AND] muddy [IMPLY] ugly [PERIOD]
ugly [AND] loving [IMPLY] embarrassed [PERIOD]
ugliest [AND] calm [IMPLY] ugly [PERIOD]
helpful [AND] loving [AND] clumsy [IMPLY] sleepy [PERIOD]
amused [AND] disgusted [IMPLY] comfortable [PERIOD]
anxious [IMPLY] amused [PERIOD]
sleepy [AND] comfortable [AND] amused [IMPLY] outrageous [PERIOD]
bad-tempered [IMPLY] anxious [PERIOD]
embarrassed [AND] ugliest [IMPLY] clumsy [PERIOD]
selfish [AND] outrageous [AND] comfortable [IMPLY] mean [PERIOD]
silly [IMPLY] loving [PERIOD]
weary [AND] muddy [AND] average [IMPLY] comfortable [PERIOD]
foolish [AND] weary [AND] clumsy [IMPLY] stormy [PERIOD]
ugly [AND] bad-tempered [AND] helpful [IMPLY] sleepy [PERIOD]
ugliest [AND] strange [AND] disgusted [IMPLY] weary [PERIOD]
disgusted [IMPLY] outrageous [PERIOD]
bad-tempered [AND] weary [IMPLY] embarrassed [PERIOD]
hurt [AND] average [IMPLY] cooperative [PERIOD]
cooperative [AND] helpful [AND] selfish [IMPLY] strange [PERIOD]
bad-tempered [AND] loving [AND] muddy [IMPLY] cooperative [PERIOD]
weary [AND] cooperative [IMPLY] anxious [PERIOD]
strange [AND] cooperative [IMPLY] muddy [PERIOD]
weary [AND] powerful [IMPLY] loving [PERIOD]
average [IMPLY] bad-tempered [PERIOD]
weary [AND] muddy [AND] ugliest [IMPLY] embarrassed [PERIOD]
cooperative [AND] excited [AND] comfortable [IMPLY] anxious [PERIOD]
helpful [IMPLY] clumsy [PERIOD]
ugly [IMPLY] ugliest [PERIOD]
mean [IMPLY] loving [PERIOD]
outrageous [AND] muddy [IMPLY] weary [PERIOD]
powerful [AND] ugly [AND] frantic [IMPLY] excited [PERIOD]
weary [AND] loving [IMPLY] anxious [PERIOD]
sleepy [IMPLY] selfish [PERIOD]
comfortable [AND] foolish [AND] selfish [IMPLY] powerful [PERIOD]
comfortable [AND] strange [AND] bad-tempered [IMPLY] powerful [PERIOD]
amused [AND] weary [IMPLY] outrageous [PERIOD]
muddy [AND] helpful [IMPLY] hurt [PERIOD]
silly [IMPLY] calm [PERIOD]
powerful [AND] calm [IMPLY] disgusted [PERIOD]
embarrassed [AND] sleepy [AND] strange [IMPLY] average [PERIOD]
cooperative [AND] weary [AND] embarrassed [IMPLY] stormy [PERIOD]
ugliest [AND] gorgeous [IMPLY] clumsy [PERIOD]
bad-tempered [AND] ugly [IMPLY] foolish [PERIOD]
frantic [AND] embarrassed [IMPLY] helpful [PERIOD]
disgusted [AND] ugliest [AND] excited [IMPLY] amused [PERIOD]
amused [AND] sleepy [AND] stormy [IMPLY] powerful [PERIOD]
ugliest [IMPLY] disgusted [PERIOD]
silly [AND] strange [IMPLY] stormy [PERIOD]
disgusted [IMPLY] comfortable [PERIOD]
ugliest [IMPLY] comfortable [PERIOD]
bad-tempered [AND] calm [AND] stormy [IMPLY] mean [PERIOD]
hurt [AND] average [AND] disgusted [IMPLY] bad-tempered [PERIOD]
cooperative [AND] stormy [IMPLY] mean [PERIOD]
average [AND] ugliest [IMPLY] ugly [PERIOD]
bad-tempered [AND] weary [IMPLY] average [PERIOD]
embarrassed [IMPLY] excited [PERIOD]
cooperative [AND] weary [IMPLY] stormy [PERIOD]
outrageous [AND] powerful [AND] foolish [IMPLY] clumsy [PERIOD]
silly [AND] bad-tempered [AND] helpful [IMPLY] average [PERIOD]
gorgeous [AND] powerful [AND] clumsy [IMPLY] selfish [PERIOD]
weary [AND] bad-tempered [IMPLY] amused [PERIOD]
ugliest [AND] anxious [AND] stormy [IMPLY] ugly [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   silly ⇒ calm
",1,1
"Facts:  Alice is homely [PERIOD] Alice is grumpy [PERIOD]
Rules:
proud [AND] frail [IMPLY] frightened [PERIOD]
attentive [IMPLY] grumpy [PERIOD]
gleaming [AND] comfortable [IMPLY] frail [PERIOD]
ambitious [IMPLY] frail [PERIOD]
serious [IMPLY] lucky [PERIOD]
frightened [AND] homely [AND] gleaming [IMPLY] witty [PERIOD]
grumpy [IMPLY] frightened [PERIOD]
ambitious [AND] friendly [IMPLY] frail [PERIOD]
pleasant [IMPLY] proud [PERIOD]
impartial [IMPLY] spotless [PERIOD]
comfortable [IMPLY] famous [PERIOD]
pleasant [IMPLY] frail [PERIOD]
friendly [IMPLY] agreeable [PERIOD]
weary [AND] frail [IMPLY] grumpy [PERIOD]
ambitious [AND] lucky [AND] pleasant [IMPLY] agreeable [PERIOD]
pleasant [AND] friendly [AND] witty [IMPLY] attentive [PERIOD]
lucky [AND] attentive [AND] disgusted [IMPLY] serious [PERIOD]
proud [AND] famous [AND] gleaming [IMPLY] serious [PERIOD]
pleasant [IMPLY] lucky [PERIOD]
pleasant [IMPLY] grumpy [PERIOD]
agreeable [AND] attentive [AND] pleasant [IMPLY] rude [PERIOD]
disgusted [AND] proud [AND] frightened [IMPLY] grumpy [PERIOD]
serious [IMPLY] impartial [PERIOD]
homely [IMPLY] rude [PERIOD]
serious [AND] agreeable [IMPLY] frightened [PERIOD]
comfortable [AND] homely [IMPLY] serious [PERIOD]
spotless [IMPLY] weary [PERIOD]
spotless [AND] agreeable [IMPLY] pleasant [PERIOD]
gleaming [IMPLY] proud [PERIOD]
rude [AND] famous [IMPLY] agreeable [PERIOD]
frail [IMPLY] gleaming [PERIOD]
disgusted [IMPLY] frightened [PERIOD]
frail [IMPLY] weary [PERIOD]
frail [IMPLY] attentive [PERIOD]
impartial [IMPLY] proud [PERIOD]
disgusted [IMPLY] spotless [PERIOD]
famous [IMPLY] proud [PERIOD]
rude [AND] gleaming [AND] grumpy [IMPLY] disgusted [PERIOD]
witty [AND] frightened [AND] agreeable [IMPLY] pleasant [PERIOD]
frightened [AND] famous [IMPLY] homely [PERIOD]
gleaming [AND] comfortable [IMPLY] frightened [PERIOD]
lucky [IMPLY] friendly [PERIOD]
weary [AND] rude [IMPLY] impartial [PERIOD]
ambitious [AND] witty [AND] frightened [IMPLY] pleasant [PERIOD]
weary [IMPLY] spotless [PERIOD]
rude [AND] homely [IMPLY] gleaming [PERIOD]
comfortable [AND] famous [IMPLY] homely [PERIOD]
weary [IMPLY] attentive [PERIOD]
grumpy [IMPLY] witty [PERIOD]
frail [AND] impartial [AND] attentive [IMPLY] famous [PERIOD]
serious [AND] spotless [AND] lucky [IMPLY] frightened [PERIOD]
attentive [AND] serious [IMPLY] lucky [PERIOD]
grumpy [AND] comfortable [IMPLY] disgusted [PERIOD]
grumpy [IMPLY] lucky [PERIOD]
frightened [AND] lucky [AND] famous [IMPLY] impartial [PERIOD]
rude [AND] serious [AND] lucky [IMPLY] pleasant [PERIOD]
ambitious [AND] disgusted [AND] comfortable [IMPLY] homely [PERIOD]
grumpy [AND] proud [AND] gleaming [IMPLY] frightened [PERIOD]
rude [AND] frail [IMPLY] agreeable [PERIOD]
witty [AND] famous [IMPLY] spotless [PERIOD]
comfortable [AND] friendly [AND] weary [IMPLY] proud [PERIOD]
friendly [IMPLY] gleaming [PERIOD]
serious [AND] lucky [IMPLY] frightened [PERIOD]
gleaming [IMPLY] grumpy [PERIOD]
witty [AND] disgusted [IMPLY] rude [PERIOD]
agreeable [AND] homely [IMPLY] famous [PERIOD]
friendly [AND] agreeable [IMPLY] grumpy [PERIOD]
grumpy [AND] famous [AND] gleaming [IMPLY] comfortable [PERIOD]
attentive [AND] comfortable [AND] homely [IMPLY] gleaming [PERIOD]
weary [AND] frightened [IMPLY] grumpy [PERIOD]
spotless [IMPLY] comfortable [PERIOD]
homely [AND] rude [IMPLY] agreeable [PERIOD]
frightened [IMPLY] attentive [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   homely ⇒ rude
   homely ∧ rude ⇒ agreeable
   agreeable ∧ homely ⇒ famous
   homely ⇒ rude
   rude ∧ homely ⇒ gleaming
   grumpy ∧ famous ∧ gleaming ⇒ comfortable
",1,6
"Facts: 
Rules:
impartial [IMPLY] different [PERIOD]
impartial [AND] zealous [IMPLY] shiny [PERIOD]
shiny [AND] bright [IMPLY] impartial [PERIOD]
impartial [AND] shiny [IMPLY] bright [PERIOD]
shiny [AND] zealous [IMPLY] impartial [PERIOD]
different [IMPLY] bright [PERIOD]
impartial [AND] bright [AND] different [IMPLY] zealous [PERIOD]
zealous [IMPLY] bright [PERIOD]
shiny [IMPLY] different [PERIOD]
bright [AND] shiny [AND] different [IMPLY] impartial [PERIOD]
zealous [IMPLY] shiny [PERIOD]
shiny [AND] zealous [AND] impartial [IMPLY] different [PERIOD]
impartial [AND] shiny [AND] different [IMPLY] bright [PERIOD]
different [AND] zealous [AND] bright [IMPLY] shiny [PERIOD]
bright [AND] impartial [AND] shiny [IMPLY] zealous [PERIOD]
shiny [AND] bright [IMPLY] different [PERIOD]
impartial [IMPLY] bright [PERIOD]
zealous [AND] bright [IMPLY] shiny [PERIOD]
shiny [AND] impartial [AND] different [IMPLY] zealous [PERIOD]
different [AND] bright [IMPLY] impartial [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   Cannot apply rule “impartial ∧ shiny ⇒ bright” because missing: impartial, shiny.
   Cannot apply rule “different ⇒ bright” because missing: different.
   Cannot apply rule “zealous ⇒ bright” because missing: zealous.
   Cannot apply rule “impartial ∧ shiny ∧ different ⇒ bright” because missing: impartial, shiny, different.
   Cannot apply rule “impartial ⇒ bright” because missing: impartial.
",0,5
"Facts:  Alice is cooperative [PERIOD] Alice is excited [PERIOD] Alice is amused [PERIOD] Alice is straightforward [PERIOD] Alice is tired [PERIOD] Alice is confident [PERIOD]
Rules:
unpleasant [AND] cooperative [AND] versatile [IMPLY] weary [PERIOD]
excited [IMPLY] weary [PERIOD]
homely [AND] smart [AND] unpleasant [IMPLY] cooperative [PERIOD]
cooperative [AND] tidy [AND] famous [IMPLY] stupid [PERIOD]
stupid [AND] sincere [AND] weary [IMPLY] outstanding [PERIOD]
tidy [IMPLY] bored [PERIOD]
bored [AND] homely [AND] tired [IMPLY] stupid [PERIOD]
unpleasant [IMPLY] stupid [PERIOD]
amused [IMPLY] confident [PERIOD]
versatile [AND] tidy [IMPLY] rational [PERIOD]
unpleasant [IMPLY] weary [PERIOD]
smart [IMPLY] amused [PERIOD]
tidy [AND] unpleasant [IMPLY] rational [PERIOD]
homely [AND] confident [AND] smart [IMPLY] bored [PERIOD]
homely [AND] confident [IMPLY] talented [PERIOD]
talented [AND] stupid [IMPLY] tidy [PERIOD]
talented [AND] bored [IMPLY] weary [PERIOD]
weary [AND] cooperative [IMPLY] talented [PERIOD]
excited [IMPLY] outstanding [PERIOD]
amused [AND] talented [AND] cooperative [IMPLY] tired [PERIOD]
straightforward [IMPLY] homely [PERIOD]
tidy [AND] bored [AND] talented [IMPLY] unpleasant [PERIOD]
straightforward [AND] tidy [AND] homely [IMPLY] versatile [PERIOD]
bored [AND] confident [IMPLY] homely [PERIOD]
tidy [IMPLY] amused [PERIOD]
weary [AND] unpleasant [IMPLY] bored [PERIOD]
bored [AND] versatile [AND] stupid [IMPLY] weary [PERIOD]
sincere [AND] versatile [AND] straightforward [IMPLY] unpleasant [PERIOD]
versatile [IMPLY] homely [PERIOD]
stupid [IMPLY] unpleasant [PERIOD]
weary [IMPLY] straightforward [PERIOD]
homely [IMPLY] versatile [PERIOD]
cooperative [IMPLY] talented [PERIOD]
outstanding [AND] stupid [AND] weary [IMPLY] straightforward [PERIOD]
sincere [IMPLY] tired [PERIOD]
unpleasant [AND] tired [IMPLY] smart [PERIOD]
tidy [AND] talented [AND] straightforward [IMPLY] famous [PERIOD]
tidy [IMPLY] homely [PERIOD]
versatile [AND] excited [IMPLY] amused [PERIOD]
sincere [IMPLY] bored [PERIOD]
bored [AND] excited [AND] cooperative [IMPLY] versatile [PERIOD]
straightforward [IMPLY] cooperative [PERIOD]
bored [AND] rational [IMPLY] confident [PERIOD]
tidy [AND] unpleasant [AND] bored [IMPLY] weary [PERIOD]
sincere [AND] outstanding [AND] weary [IMPLY] tidy [PERIOD]
tidy [IMPLY] weary [PERIOD]
amused [AND] stupid [IMPLY] smart [PERIOD]
amused [AND] smart [AND] versatile [IMPLY] cooperative [PERIOD]
famous [AND] cooperative [AND] stupid [IMPLY] amused [PERIOD]
excited [IMPLY] unpleasant [PERIOD]
talented [AND] amused [AND] smart [IMPLY] outstanding [PERIOD]
excited [AND] sincere [AND] stupid [IMPLY] smart [PERIOD]
bored [AND] tired [IMPLY] homely [PERIOD]
outstanding [AND] straightforward [AND] homely [IMPLY] weary [PERIOD]
smart [AND] unpleasant [IMPLY] versatile [PERIOD]
talented [AND] cooperative [AND] famous [IMPLY] unpleasant [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   straightforward ⇒ homely
   homely ⇒ versatile
   cooperative ⇒ talented
   excited ⇒ unpleasant
   unpleasant ⇒ stupid
   talented ∧ stupid ⇒ tidy
   versatile ∧ tidy ⇒ rational
",1,7
"Facts:  Alice is stupid [PERIOD] Alice is sleepy [PERIOD] Alice is glamorous [PERIOD] Alice is impartial [PERIOD] Alice is gifted [PERIOD] Alice is worrisome [PERIOD] Alice is tame [PERIOD] Alice is pessimistic [PERIOD] Alice is anxious [PERIOD] Alice is thoughtless [PERIOD] Alice is cooperative [PERIOD] Alice is versatile [PERIOD] Alice is aggressive [PERIOD] Alice is blushing [PERIOD]
Rules:
pessimistic [AND] blushing [AND] anxious [IMPLY] glamorous [PERIOD]
cooperative [IMPLY] pessimistic [PERIOD]
worrisome [AND] thoughtless [AND] sleepy [IMPLY] versatile [PERIOD]
thoughtless [AND] worrisome [IMPLY] versatile [PERIOD]
cooperative [IMPLY] versatile [PERIOD]
anxious [AND] pessimistic [AND] impartial [IMPLY] gifted [PERIOD]
stupid [IMPLY] thoughtless [PERIOD]
worrisome [AND] sleepy [IMPLY] versatile [PERIOD]
gifted [IMPLY] anxious [PERIOD]
aggressive [IMPLY] tame [PERIOD]
tame [AND] pessimistic [IMPLY] anxious [PERIOD]
cooperative [AND] impartial [AND] pessimistic [IMPLY] anxious [PERIOD]
blushing [AND] cooperative [IMPLY] anxious [PERIOD]
tame [IMPLY] pessimistic [PERIOD]
worrisome [AND] stupid [IMPLY] aggressive [PERIOD]
anxious [AND] blushing [AND] versatile [IMPLY] impartial [PERIOD]
blushing [AND] glamorous [IMPLY] impartial [PERIOD]
glamorous [IMPLY] versatile [PERIOD]
worrisome [AND] versatile [AND] impartial [IMPLY] gifted [PERIOD]
pessimistic [IMPLY] blushing [PERIOD]
anxious [AND] worrisome [IMPLY] pessimistic [PERIOD]
worrisome [IMPLY] aggressive [PERIOD]
glamorous [AND] impartial [IMPLY] worrisome [PERIOD]
impartial [AND] thoughtless [AND] blushing [IMPLY] aggressive [PERIOD]
gifted [AND] anxious [AND] tame [IMPLY] glamorous [PERIOD]
thoughtless [AND] versatile [IMPLY] cooperative [PERIOD]
worrisome [AND] glamorous [IMPLY] gifted [PERIOD]
anxious [AND] glamorous [IMPLY] versatile [PERIOD]
aggressive [AND] anxious [AND] versatile [IMPLY] blushing [PERIOD]
worrisome [IMPLY] versatile [PERIOD]
worrisome [AND] glamorous [AND] stupid [IMPLY] pessimistic [PERIOD]
blushing [AND] sleepy [AND] pessimistic [IMPLY] thoughtless [PERIOD]
pessimistic [IMPLY] thoughtless [PERIOD]
versatile [AND] glamorous [IMPLY] blushing [PERIOD]
impartial [AND] aggressive [IMPLY] worrisome [PERIOD]
worrisome [AND] cooperative [IMPLY] tame [PERIOD]
blushing [IMPLY] gifted [PERIOD]
thoughtless [IMPLY] versatile [PERIOD]
stupid [IMPLY] gifted [PERIOD]
aggressive [IMPLY] versatile [PERIOD]
glamorous [IMPLY] pessimistic [PERIOD]
aggressive [AND] thoughtless [AND] blushing [IMPLY] anxious [PERIOD]
pessimistic [AND] worrisome [IMPLY] anxious [PERIOD]
worrisome [AND] tame [IMPLY] anxious [PERIOD]
cooperative [IMPLY] blushing [PERIOD]
gifted [AND] impartial [IMPLY] blushing [PERIOD]
blushing [IMPLY] aggressive [PERIOD]
blushing [AND] glamorous [AND] sleepy [IMPLY] stupid [PERIOD]
blushing [IMPLY] thoughtless [PERIOD]
blushing [AND] cooperative [AND] gifted [IMPLY] aggressive [PERIOD]
glamorous [AND] gifted [AND] blushing [IMPLY] anxious [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is gifted [PERIOD] Alice is hilarious [PERIOD] Alice is loving [PERIOD] Alice is worrisome [PERIOD]
Rules:
busy [IMPLY] intellectual [PERIOD]
bad-tempered [AND] inexpensive [IMPLY] loving [PERIOD]
loving [AND] busy [IMPLY] ambitious [PERIOD]
ambitious [AND] worrisome [AND] loving [IMPLY] intellectual [PERIOD]
helpless [AND] intellectual [IMPLY] tense [PERIOD]
helpless [AND] bad-tempered [AND] tense [IMPLY] busy [PERIOD]
intellectual [AND] helpless [AND] ambitious [IMPLY] loving [PERIOD]
intellectual [IMPLY] bad-tempered [PERIOD]
outstanding [AND] ambitious [IMPLY] tense [PERIOD]
inexpensive [AND] worrisome [IMPLY] helpless [PERIOD]
pleasant [IMPLY] gifted [PERIOD]
busy [IMPLY] gifted [PERIOD]
intellectual [IMPLY] inexpensive [PERIOD]
pleasant [IMPLY] inexpensive [PERIOD]
hilarious [IMPLY] loving [PERIOD]
bad-tempered [AND] worrisome [AND] tense [IMPLY] helpless [PERIOD]
helpless [IMPLY] ambitious [PERIOD]
ambitious [AND] outstanding [AND] busy [IMPLY] gifted [PERIOD]
gifted [AND] intellectual [AND] tense [IMPLY] hilarious [PERIOD]
bad-tempered [IMPLY] outstanding [PERIOD]
gifted [AND] inexpensive [AND] helpless [IMPLY] loving [PERIOD]
inexpensive [AND] pleasant [IMPLY] tense [PERIOD]
helpless [AND] loving [IMPLY] hilarious [PERIOD]
intellectual [IMPLY] gifted [PERIOD]
helpless [AND] gifted [AND] intellectual [IMPLY] pleasant [PERIOD]
bad-tempered [AND] outstanding [AND] worrisome [IMPLY] intellectual [PERIOD]
helpless [IMPLY] tense [PERIOD]
busy [AND] hilarious [IMPLY] tense [PERIOD]
ambitious [AND] hilarious [AND] intellectual [IMPLY] worrisome [PERIOD]
busy [AND] pleasant [AND] inexpensive [IMPLY] outstanding [PERIOD]
gifted [IMPLY] hilarious [PERIOD]
worrisome [AND] loving [IMPLY] tense [PERIOD]
bad-tempered [AND] pleasant [AND] ambitious [IMPLY] loving [PERIOD]
gifted [AND] busy [AND] bad-tempered [IMPLY] pleasant [PERIOD]
inexpensive [IMPLY] hilarious [PERIOD]
worrisome [AND] busy [IMPLY] hilarious [PERIOD]
worrisome [IMPLY] gifted [PERIOD]
inexpensive [AND] gifted [AND] bad-tempered [IMPLY] outstanding [PERIOD]
intellectual [AND] worrisome [AND] helpless [IMPLY] hilarious [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   worrisome ∧ loving ⇒ tense
",1,1
"Facts:  Alice is spotless [PERIOD] Alice is average [PERIOD] Alice is loving [PERIOD] Alice is different [PERIOD] Alice is tender [PERIOD]
Rules:
rational [AND] charming [AND] tender [IMPLY] shy [PERIOD]
charming [AND] gorgeous [IMPLY] rational [PERIOD]
rude [IMPLY] rational [PERIOD]
rational [IMPLY] average [PERIOD]
condemned [IMPLY] clumsy [PERIOD]
grumpy [AND] amused [IMPLY] foolish [PERIOD]
comfortable [AND] difficult [IMPLY] amused [PERIOD]
grumpy [IMPLY] amused [PERIOD]
charming [AND] difficult [IMPLY] gorgeous [PERIOD]
clumsy [IMPLY] quaint [PERIOD]
loving [AND] difficult [AND] amused [IMPLY] thoughtless [PERIOD]
different [IMPLY] comfortable [PERIOD]
hilarious [AND] charming [IMPLY] different [PERIOD]
shy [AND] stubborn [AND] spotless [IMPLY] rude [PERIOD]
difficult [AND] rational [IMPLY] different [PERIOD]
good [AND] condemned [IMPLY] clumsy [PERIOD]
difficult [AND] spotless [IMPLY] charming [PERIOD]
thoughtless [IMPLY] stubborn [PERIOD]
good [IMPLY] strange [PERIOD]
charming [AND] rational [IMPLY] clumsy [PERIOD]
difficult [AND] charming [IMPLY] rude [PERIOD]
good [AND] spotless [IMPLY] quaint [PERIOD]
glamorous [AND] loving [IMPLY] strange [PERIOD]
rude [IMPLY] gorgeous [PERIOD]
good [AND] gorgeous [IMPLY] different [PERIOD]
condemned [AND] loving [IMPLY] comfortable [PERIOD]
spotless [AND] rational [IMPLY] clumsy [PERIOD]
difficult [IMPLY] rude [PERIOD]
thoughtless [AND] rational [AND] condemned [IMPLY] amused [PERIOD]
rude [AND] spotless [IMPLY] worried [PERIOD]
difficult [AND] rational [AND] glamorous [IMPLY] different [PERIOD]
glamorous [IMPLY] strange [PERIOD]
hilarious [AND] tender [IMPLY] shy [PERIOD]
gorgeous [AND] condemned [AND] rational [IMPLY] shy [PERIOD]
rational [IMPLY] rude [PERIOD]
average [AND] charming [AND] strange [IMPLY] foolish [PERIOD]
charming [IMPLY] condemned [PERIOD]
loving [IMPLY] spotless [PERIOD]
comfortable [AND] rude [IMPLY] grumpy [PERIOD]
quaint [AND] glamorous [IMPLY] clumsy [PERIOD]
amused [AND] spotless [IMPLY] gorgeous [PERIOD]
clumsy [AND] shy [AND] quaint [IMPLY] hilarious [PERIOD]
gorgeous [AND] spotless [IMPLY] condemned [PERIOD]
glamorous [AND] gorgeous [IMPLY] quaint [PERIOD]
clumsy [IMPLY] stubborn [PERIOD]
difficult [AND] clumsy [IMPLY] hilarious [PERIOD]
difficult [AND] stubborn [AND] foolish [IMPLY] comfortable [PERIOD]
quaint [AND] shy [IMPLY] difficult [PERIOD]
average [IMPLY] rude [PERIOD]
tender [AND] clumsy [IMPLY] loving [PERIOD]
amused [IMPLY] stubborn [PERIOD]
condemned [IMPLY] gorgeous [PERIOD]
tender [AND] condemned [AND] quaint [IMPLY] amused [PERIOD]
good [AND] loving [IMPLY] different [PERIOD]
condemned [AND] spotless [IMPLY] comfortable [PERIOD]
amused [AND] rational [IMPLY] shy [PERIOD]
amused [AND] rude [AND] good [IMPLY] rational [PERIOD]
strange [AND] good [IMPLY] quaint [PERIOD]
rude [AND] difficult [AND] strange [IMPLY] spotless [PERIOD]
stubborn [AND] condemned [AND] thoughtless [IMPLY] spotless [PERIOD]
spotless [AND] rude [IMPLY] glamorous [PERIOD]
strange [AND] tender [IMPLY] spotless [PERIOD]
strange [AND] average [IMPLY] amused [PERIOD]
clumsy [AND] strange [IMPLY] stubborn [PERIOD]
shy [IMPLY] spotless [PERIOD]
stubborn [AND] worried [AND] hilarious [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] charming [PERIOD]
shy [AND] charming [IMPLY] strange [PERIOD]
strange [AND] shy [IMPLY] gorgeous [PERIOD]
rational [AND] shy [IMPLY] gorgeous [PERIOD]
tender [IMPLY] gorgeous [PERIOD]
gorgeous [IMPLY] foolish [PERIOD]
strange [IMPLY] gorgeous [PERIOD]
rational [IMPLY] condemned [PERIOD]
foolish [IMPLY] stubborn [PERIOD]
condemned [IMPLY] loving [PERIOD]
grumpy [AND] glamorous [AND] spotless [IMPLY] good [PERIOD]
difficult [AND] shy [AND] rude [IMPLY] glamorous [PERIOD]
tender [AND] average [IMPLY] loving [PERIOD]
condemned [AND] glamorous [AND] hilarious [IMPLY] tender [PERIOD]
rational [IMPLY] good [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   tender ⇒ gorgeous
   tender ⇒ gorgeous
   gorgeous ∧ spotless ⇒ condemned
   average ⇒ rude
   rude ⇒ rational
   gorgeous ∧ condemned ∧ rational ⇒ shy
",1,6
"Facts:  Alice is mean [PERIOD] Alice is diplomatic [PERIOD] Alice is hypocritical [PERIOD] Alice is ambitious [PERIOD]
Rules:
hypocritical [AND] straightforward [AND] polite [IMPLY] ambitious [PERIOD]
hypocritical [IMPLY] polite [PERIOD]
ambitious [AND] diplomatic [AND] straightforward [IMPLY] polite [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is difficult [PERIOD] Alice is fancy [PERIOD] Alice is witty [PERIOD] Alice is inquisitive [PERIOD] Alice is lonely [PERIOD] Alice is wrong [PERIOD] Alice is tense [PERIOD] Alice is mean [PERIOD] Alice is nervous [PERIOD] Alice is average [PERIOD] Alice is popular [PERIOD] Alice is messy [PERIOD] Alice is long [PERIOD] Alice is elated [PERIOD]
Rules:
wrong [AND] lonely [AND] messy [IMPLY] precious [PERIOD]
lonely [IMPLY] inquisitive [PERIOD]
elated [AND] difficult [AND] precious [IMPLY] messy [PERIOD]
fancy [IMPLY] gifted [PERIOD]
lonely [AND] elated [AND] mean [IMPLY] fancy [PERIOD]
lonely [AND] gifted [IMPLY] precious [PERIOD]
precious [AND] mean [IMPLY] tense [PERIOD]
witty [AND] fancy [AND] elated [IMPLY] mean [PERIOD]
tense [AND] witty [AND] elated [IMPLY] nervous [PERIOD]
average [AND] rude [AND] mean [IMPLY] gifted [PERIOD]
popular [AND] wrong [IMPLY] messy [PERIOD]
witty [AND] long [AND] wrong [IMPLY] rude [PERIOD]
condemned [AND] precious [IMPLY] popular [PERIOD]
gifted [IMPLY] fancy [PERIOD]
long [AND] nervous [IMPLY] messy [PERIOD]
mean [AND] elated [IMPLY] condemned [PERIOD]
nervous [AND] messy [IMPLY] rude [PERIOD]
inquisitive [AND] precious [IMPLY] tense [PERIOD]
rude [IMPLY] mean [PERIOD]
lonely [AND] average [AND] witty [IMPLY] inquisitive [PERIOD]
long [AND] condemned [AND] precious [IMPLY] lonely [PERIOD]
nervous [IMPLY] mean [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is dull [PERIOD] Alice is troubled [PERIOD] Alice is condemned [PERIOD] Alice is lucky [PERIOD] Alice is outrageous [PERIOD] Alice is grumpy [PERIOD] Alice is rational [PERIOD] Alice is impartial [PERIOD]
Rules:
rational [AND] troubled [AND] outrageous [IMPLY] grumpy [PERIOD]
troubled [IMPLY] grumpy [PERIOD]
troubled [AND] grumpy [AND] dull [IMPLY] impartial [PERIOD]
troubled [IMPLY] impartial [PERIOD]
lucky [AND] dull [AND] rational [IMPLY] impartial [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is bad-tempered [PERIOD] Alice is intellectual [PERIOD] Alice is shiny [PERIOD] Alice is impatient [PERIOD] Alice is mean [PERIOD] Alice is comfortable [PERIOD] Alice is friendly [PERIOD] Alice is wrong [PERIOD] Alice is calm [PERIOD] Alice is crowded [PERIOD]
Rules:
muddy [AND] careless [AND] impatient [IMPLY] comfortable [PERIOD]
straightforward [AND] wrong [AND] bad-tempered [IMPLY] glamorous [PERIOD]
shiny [IMPLY] powerful [PERIOD]
shiny [AND] wrong [AND] powerful [IMPLY] crowded [PERIOD]
crowded [IMPLY] anxious [PERIOD]
anxious [AND] precious [AND] careless [IMPLY] friendly [PERIOD]
bad-tempered [AND] muddy [IMPLY] perfect [PERIOD]
anxious [AND] precious [AND] spotless [IMPLY] calm [PERIOD]
glamorous [AND] muddy [IMPLY] crowded [PERIOD]
powerful [IMPLY] muddy [PERIOD]
straightforward [IMPLY] intellectual [PERIOD]
calm [AND] impatient [IMPLY] intellectual [PERIOD]
bad-tempered [AND] careless [IMPLY] comfortable [PERIOD]
anxious [IMPLY] spotless [PERIOD]
impatient [AND] mean [IMPLY] careless [PERIOD]
calm [IMPLY] friendly [PERIOD]
impatient [IMPLY] precious [PERIOD]
friendly [IMPLY] powerful [PERIOD]
straightforward [IMPLY] mean [PERIOD]
worrisome [AND] bad-tempered [IMPLY] bright [PERIOD]
wrong [AND] calm [IMPLY] bad-tempered [PERIOD]
spotless [IMPLY] straightforward [PERIOD]
bright [AND] impatient [IMPLY] precious [PERIOD]
impatient [AND] precious [AND] friendly [IMPLY] perfect [PERIOD]
straightforward [IMPLY] spotless [PERIOD]
mean [AND] anxious [AND] powerful [IMPLY] straightforward [PERIOD]
worrisome [AND] friendly [IMPLY] spotless [PERIOD]
calm [AND] muddy [IMPLY] intellectual [PERIOD]
worrisome [AND] bad-tempered [IMPLY] muddy [PERIOD]
worrisome [AND] wrong [IMPLY] bad-tempered [PERIOD]
straightforward [AND] perfect [AND] wrong [IMPLY] worrisome [PERIOD]
anxious [AND] glamorous [IMPLY] mean [PERIOD]
straightforward [AND] perfect [AND] spotless [IMPLY] muddy [PERIOD]
straightforward [AND] perfect [AND] mean [IMPLY] impatient [PERIOD]
worrisome [AND] anxious [AND] friendly [IMPLY] muddy [PERIOD]
comfortable [IMPLY] bad-tempered [PERIOD]
glamorous [IMPLY] crowded [PERIOD]
glamorous [IMPLY] bad-tempered [PERIOD]
muddy [AND] bad-tempered [AND] crowded [IMPLY] comfortable [PERIOD]
bright [AND] comfortable [IMPLY] friendly [PERIOD]
straightforward [AND] glamorous [IMPLY] comfortable [PERIOD]
friendly [IMPLY] mean [PERIOD]
crowded [AND] bad-tempered [IMPLY] comfortable [PERIOD]
shiny [AND] mean [IMPLY] straightforward [PERIOD]
muddy [AND] wrong [AND] spotless [IMPLY] anxious [PERIOD]
crowded [AND] bad-tempered [AND] friendly [IMPLY] careless [PERIOD]
impatient [AND] friendly [IMPLY] shiny [PERIOD]
friendly [AND] powerful [IMPLY] intellectual [PERIOD]
impatient [IMPLY] friendly [PERIOD]
shiny [AND] bright [AND] calm [IMPLY] perfect [PERIOD]
impatient [IMPLY] comfortable [PERIOD]
muddy [AND] comfortable [IMPLY] straightforward [PERIOD]
calm [AND] muddy [IMPLY] precious [PERIOD]
careless [IMPLY] perfect [PERIOD]
glamorous [IMPLY] bright [PERIOD]
spotless [AND] calm [IMPLY] powerful [PERIOD]
comfortable [AND] mean [IMPLY] intellectual [PERIOD]
muddy [AND] precious [AND] perfect [IMPLY] friendly [PERIOD]
impatient [AND] precious [IMPLY] crowded [PERIOD]
comfortable [AND] muddy [IMPLY] spotless [PERIOD]
worrisome [IMPLY] friendly [PERIOD]
friendly [AND] worrisome [IMPLY] bright [PERIOD]
mean [IMPLY] intellectual [PERIOD]
impatient [AND] anxious [AND] mean [IMPLY] worrisome [PERIOD]
spotless [IMPLY] bad-tempered [PERIOD]
straightforward [IMPLY] shiny [PERIOD]
anxious [AND] spotless [IMPLY] crowded [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   shiny ∧ mean ⇒ straightforward
   straightforward ∧ wrong ∧ bad-tempered ⇒ glamorous
",1,2
"Facts: 
Rules:
tidy [AND] embarrassed [IMPLY] cute [PERIOD]
gifted [AND] exuberant [IMPLY] rational [PERIOD]
embarrassed [AND] cute [IMPLY] bored [PERIOD]
shiny [AND] tidy [IMPLY] embarrassed [PERIOD]
old-fashioned [AND] nervous [AND] rational [IMPLY] gifted [PERIOD]
ambitious [IMPLY] shiny [PERIOD]
attentive [AND] old-fashioned [AND] tidy [IMPLY] gifted [PERIOD]
cute [IMPLY] attentive [PERIOD]
ambitious [AND] nervous [IMPLY] gifted [PERIOD]
old-fashioned [IMPLY] shiny [PERIOD]
ambitious [AND] nervous [AND] attentive [IMPLY] embarrassed [PERIOD]
rational [AND] embarrassed [AND] old-fashioned [IMPLY] exuberant [PERIOD]
tidy [IMPLY] embarrassed [PERIOD]
tidy [AND] nervous [IMPLY] old-fashioned [PERIOD]
shiny [AND] gifted [AND] tidy [IMPLY] exuberant [PERIOD]
rational [AND] gifted [AND] tidy [IMPLY] exuberant [PERIOD]
tidy [IMPLY] bored [PERIOD]
old-fashioned [AND] nervous [IMPLY] attentive [PERIOD]
shiny [IMPLY] attentive [PERIOD]
rational [AND] cute [IMPLY] shiny [PERIOD]
old-fashioned [AND] attentive [AND] exuberant [IMPLY] shiny [PERIOD]
exuberant [IMPLY] embarrassed [PERIOD]
bored [AND] ambitious [AND] embarrassed [IMPLY] rational [PERIOD]
shiny [AND] attentive [AND] bored [IMPLY] ambitious [PERIOD]
bored [AND] old-fashioned [IMPLY] nervous [PERIOD]
gifted [IMPLY] bored [PERIOD]
gifted [AND] shiny [AND] exuberant [IMPLY] attentive [PERIOD]
gifted [AND] tidy [AND] old-fashioned [IMPLY] exuberant [PERIOD]
tidy [AND] rational [AND] attentive [IMPLY] nervous [PERIOD]
gifted [AND] attentive [AND] ambitious [IMPLY] rational [PERIOD]
cute [AND] old-fashioned [IMPLY] nervous [PERIOD]
rational [AND] shiny [AND] exuberant [IMPLY] tidy [PERIOD]
cute [AND] ambitious [AND] bored [IMPLY] gifted [PERIOD]
exuberant [AND] embarrassed [IMPLY] gifted [PERIOD]
bored [AND] embarrassed [IMPLY] nervous [PERIOD]
rational [AND] gifted [IMPLY] old-fashioned [PERIOD]
exuberant [IMPLY] rational [PERIOD]
embarrassed [AND] old-fashioned [AND] nervous [IMPLY] shiny [PERIOD]
cute [IMPLY] bored [PERIOD]
cute [IMPLY] rational [PERIOD]
ambitious [AND] old-fashioned [AND] tidy [IMPLY] rational [PERIOD]
tidy [AND] bored [IMPLY] rational [PERIOD]
bored [AND] ambitious [IMPLY] embarrassed [PERIOD]
embarrassed [AND] old-fashioned [IMPLY] shiny [PERIOD]
rational [AND] nervous [IMPLY] shiny [PERIOD]
cute [AND] embarrassed [AND] bored [IMPLY] nervous [PERIOD]
nervous [AND] attentive [AND] rational [IMPLY] gifted [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   Cannot apply rule “ambitious ⇒ shiny” because missing: ambitious.
   Cannot apply rule “old-fashioned ⇒ shiny” because missing: old-fashioned.
   Cannot apply rule “rational ∧ cute ⇒ shiny” because missing: rational, cute.
   Cannot apply rule “old-fashioned ∧ attentive ∧ exuberant ⇒ shiny” because missing: old-fashioned, attentive, exuberant.
   Cannot apply rule “embarrassed ∧ old-fashioned ∧ nervous ⇒ shiny” because missing: embarrassed, old-fashioned, nervous.
   Cannot apply rule “embarrassed ∧ old-fashioned ⇒ shiny” because missing: embarrassed, old-fashioned.
   Cannot apply rule “rational ∧ nervous ⇒ shiny” because missing: rational, nervous.
",0,7
"Facts: 
Rules:
impartial [AND] shiny [AND] mean [IMPLY] tidy [PERIOD]
impartial [AND] tidy [AND] mean [IMPLY] tired [PERIOD]
impartial [AND] tired [AND] tidy [IMPLY] mean [PERIOD]
tidy [AND] mean [AND] shiny [IMPLY] tired [PERIOD]
tired [IMPLY] impartial [PERIOD]
tidy [AND] shiny [IMPLY] mean [PERIOD]
shiny [AND] tired [AND] mean [IMPLY] impartial [PERIOD]
tidy [AND] tired [IMPLY] impartial [PERIOD]
impartial [AND] mean [IMPLY] tidy [PERIOD]
shiny [AND] tidy [IMPLY] impartial [PERIOD]
tired [AND] tidy [AND] shiny [IMPLY] mean [PERIOD]
impartial [IMPLY] shiny [PERIOD]
mean [IMPLY] shiny [PERIOD]
mean [AND] impartial [AND] tired [IMPLY] tidy [PERIOD]
shiny [AND] tired [IMPLY] tidy [PERIOD]
shiny [AND] mean [AND] tidy [IMPLY] impartial [PERIOD]
mean [AND] shiny [AND] tired [IMPLY] tidy [PERIOD]
tired [AND] mean [IMPLY] shiny [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   Cannot apply rule “impartial ∧ tired ∧ tidy ⇒ mean” because missing: impartial, tired, tidy.
   Cannot apply rule “tidy ∧ shiny ⇒ mean” because missing: tidy, shiny.
   Cannot apply rule “tired ∧ tidy ∧ shiny ⇒ mean” because missing: tired, tidy, shiny.
",0,3
"Facts:  Alice is inquisitive [PERIOD] Alice is friendly [PERIOD] Alice is unpleasant [PERIOD] Alice is beautiful [PERIOD]
Rules:
amused [AND] inquisitive [AND] gifted [IMPLY] hurt [PERIOD]
troubled [IMPLY] gifted [PERIOD]
reserved [AND] helpless [IMPLY] elated [PERIOD]
friendly [AND] hurt [AND] loving [IMPLY] disgusted [PERIOD]
loving [AND] helpless [AND] supportive [IMPLY] dull [PERIOD]
combative [AND] friendly [IMPLY] intellectual [PERIOD]
frantic [AND] disgusted [AND] amused [IMPLY] beautiful [PERIOD]
gifted [AND] average [IMPLY] intellectual [PERIOD]
loving [IMPLY] dull [PERIOD]
supportive [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] confused [PERIOD]
beautiful [IMPLY] gifted [PERIOD]
average [IMPLY] frantic [PERIOD]
alert [IMPLY] joyous [PERIOD]
average [AND] combative [AND] gifted [IMPLY] reserved [PERIOD]
impartial [AND] selfish [IMPLY] hurt [PERIOD]
popular [AND] reserved [AND] amused [IMPLY] vivacious [PERIOD]
alert [AND] intellectual [IMPLY] distinct [PERIOD]
distinct [IMPLY] hurt [PERIOD]
disgusted [IMPLY] helpless [PERIOD]
vivacious [AND] average [IMPLY] frantic [PERIOD]
confused [AND] distinct [IMPLY] friendly [PERIOD]
straightforward [AND] distinct [AND] impartial [IMPLY] alert [PERIOD]
unpleasant [IMPLY] reserved [PERIOD]
selfish [AND] impartial [AND] gifted [IMPLY] distinct [PERIOD]
impartial [AND] hurt [AND] unpleasant [IMPLY] joyous [PERIOD]
friendly [AND] unpleasant [AND] frantic [IMPLY] distinct [PERIOD]
troubled [AND] inquisitive [AND] combative [IMPLY] elated [PERIOD]
selfish [AND] friendly [AND] gifted [IMPLY] troubled [PERIOD]
frantic [AND] reserved [IMPLY] troubled [PERIOD]
selfish [AND] confused [AND] troubled [IMPLY] loving [PERIOD]
dull [AND] hurt [AND] reserved [IMPLY] alert [PERIOD]
alert [AND] intellectual [AND] gifted [IMPLY] inquisitive [PERIOD]
reserved [IMPLY] amused [PERIOD]
loving [IMPLY] joyous [PERIOD]
confused [AND] helpless [IMPLY] beautiful [PERIOD]
beautiful [AND] straightforward [IMPLY] dull [PERIOD]
distinct [AND] joyous [AND] vivacious [IMPLY] dull [PERIOD]
hurt [AND] intellectual [AND] supportive [IMPLY] popular [PERIOD]
gifted [AND] helpless [AND] joyous [IMPLY] popular [PERIOD]
popular [AND] impartial [IMPLY] combative [PERIOD]
combative [AND] elated [IMPLY] average [PERIOD]
hurt [AND] reserved [AND] elated [IMPLY] combative [PERIOD]
combative [AND] vivacious [AND] loving [IMPLY] dull [PERIOD]
selfish [AND] friendly [AND] amused [IMPLY] beautiful [PERIOD]
reserved [AND] intellectual [AND] disgusted [IMPLY] dull [PERIOD]
reserved [AND] vivacious [IMPLY] hurt [PERIOD]
troubled [AND] impartial [AND] frantic [IMPLY] selfish [PERIOD]
hurt [AND] impartial [AND] distinct [IMPLY] reserved [PERIOD]
reserved [IMPLY] gifted [PERIOD]
amused [AND] troubled [AND] frantic [IMPLY] beautiful [PERIOD]
popular [AND] confused [AND] amused [IMPLY] alert [PERIOD]
confused [AND] supportive [IMPLY] popular [PERIOD]
friendly [AND] confused [AND] hurt [IMPLY] vivacious [PERIOD]
reserved [AND] vivacious [AND] distinct [IMPLY] hurt [PERIOD]
inquisitive [IMPLY] alert [PERIOD]
confused [AND] troubled [IMPLY] combative [PERIOD]
troubled [IMPLY] reserved [PERIOD]
gifted [AND] hurt [AND] friendly [IMPLY] distinct [PERIOD]
disgusted [AND] selfish [AND] vivacious [IMPLY] elated [PERIOD]
supportive [IMPLY] friendly [PERIOD]
straightforward [AND] troubled [AND] supportive [IMPLY] amused [PERIOD]
straightforward [AND] average [IMPLY] elated [PERIOD]
distinct [IMPLY] reserved [PERIOD]
friendly [AND] inquisitive [AND] popular [IMPLY] straightforward [PERIOD]
loving [AND] frantic [AND] vivacious [IMPLY] elated [PERIOD]
helpless [AND] average [AND] friendly [IMPLY] unpleasant [PERIOD]
reserved [AND] inquisitive [AND] intellectual [IMPLY] straightforward [PERIOD]
supportive [AND] loving [AND] beautiful [IMPLY] disgusted [PERIOD]
friendly [AND] dull [AND] popular [IMPLY] gifted [PERIOD]
supportive [AND] joyous [AND] gifted [IMPLY] reserved [PERIOD]
frantic [AND] disgusted [AND] confused [IMPLY] distinct [PERIOD]
confused [AND] straightforward [IMPLY] hurt [PERIOD]
straightforward [AND] reserved [AND] unpleasant [IMPLY] hurt [PERIOD]
friendly [AND] dull [AND] combative [IMPLY] gifted [PERIOD]
inquisitive [AND] intellectual [AND] reserved [IMPLY] friendly [PERIOD]
popular [AND] supportive [IMPLY] friendly [PERIOD]
vivacious [AND] disgusted [IMPLY] confused [PERIOD]
reserved [AND] elated [IMPLY] unpleasant [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   beautiful ⇒ gifted
   unpleasant ⇒ reserved
   reserved ⇒ amused
   beautiful ⇒ gifted
   amused ∧ inquisitive ∧ gifted ⇒ hurt
   gifted ∧ hurt ∧ friendly ⇒ distinct
",1,6
"Facts:  Alice is wide-eyed [PERIOD] Alice is nervous [PERIOD] Alice is hurt [PERIOD]
Rules:
fine [AND] excited [IMPLY] combative [PERIOD]
hurt [AND] comfortable [AND] difficult [IMPLY] nervous [PERIOD]
friendly [AND] witty [IMPLY] condemned [PERIOD]
mysterious [IMPLY] wide-eyed [PERIOD]
gorgeous [IMPLY] hilarious [PERIOD]
difficult [IMPLY] nervous [PERIOD]
crowded [AND] scared [AND] excited [IMPLY] hilarious [PERIOD]
friendly [AND] difficult [AND] scared [IMPLY] ugly [PERIOD]
condemned [AND] impatient [IMPLY] comfortable [PERIOD]
naughty [IMPLY] famous [PERIOD]
grumpy [IMPLY] crowded [PERIOD]
hurt [IMPLY] nervous [PERIOD]
grumpy [AND] blushing [AND] glamorous [IMPLY] famous [PERIOD]
grumpy [IMPLY] condemned [PERIOD]
hilarious [AND] excited [IMPLY] witty [PERIOD]
wide-eyed [IMPLY] scared [PERIOD]
friendly [AND] fragile [AND] comfortable [IMPLY] mysterious [PERIOD]
condemned [AND] difficult [IMPLY] mysterious [PERIOD]
hilarious [AND] combative [AND] gorgeous [IMPLY] nervous [PERIOD]
nervous [IMPLY] fine [PERIOD]
witty [AND] mysterious [AND] hurt [IMPLY] excited [PERIOD]
glamorous [IMPLY] wide-eyed [PERIOD]
famous [AND] wide-eyed [AND] gorgeous [IMPLY] witty [PERIOD]
combative [AND] mysterious [IMPLY] gorgeous [PERIOD]
difficult [IMPLY] blushing [PERIOD]
condemned [AND] grumpy [AND] gorgeous [IMPLY] comfortable [PERIOD]
wide-eyed [IMPLY] difficult [PERIOD]
hurt [IMPLY] grumpy [PERIOD]
impatient [AND] ugly [IMPLY] glamorous [PERIOD]
gorgeous [AND] friendly [AND] grumpy [IMPLY] comfortable [PERIOD]
condemned [AND] blushing [AND] ugly [IMPLY] wide-eyed [PERIOD]
gorgeous [AND] impatient [IMPLY] friendly [PERIOD]
witty [AND] mysterious [IMPLY] combative [PERIOD]
condemned [AND] witty [AND] hilarious [IMPLY] combative [PERIOD]
comfortable [IMPLY] blushing [PERIOD]
ugly [IMPLY] crowded [PERIOD]
naughty [AND] ugly [IMPLY] mysterious [PERIOD]
fine [AND] nervous [AND] frantic [IMPLY] glamorous [PERIOD]
hurt [AND] naughty [AND] witty [IMPLY] grumpy [PERIOD]
gorgeous [IMPLY] grumpy [PERIOD]
naughty [AND] wide-eyed [IMPLY] gorgeous [PERIOD]
wide-eyed [IMPLY] glamorous [PERIOD]
witty [IMPLY] mysterious [PERIOD]
excited [IMPLY] mysterious [PERIOD]
comfortable [AND] frantic [IMPLY] difficult [PERIOD]
condemned [AND] famous [IMPLY] hurt [PERIOD]
glamorous [AND] famous [AND] fragile [IMPLY] naughty [PERIOD]
excited [IMPLY] ugly [PERIOD]
blushing [AND] wide-eyed [IMPLY] comfortable [PERIOD]
hilarious [AND] excited [IMPLY] comfortable [PERIOD]
nervous [IMPLY] friendly [PERIOD]
friendly [AND] nervous [IMPLY] witty [PERIOD]
fragile [AND] excited [AND] nervous [IMPLY] witty [PERIOD]
excited [AND] difficult [IMPLY] famous [PERIOD]
impatient [AND] famous [IMPLY] comfortable [PERIOD]
fragile [AND] famous [AND] difficult [IMPLY] mysterious [PERIOD]
mysterious [AND] witty [AND] combative [IMPLY] frantic [PERIOD]
frantic [AND] glamorous [IMPLY] grumpy [PERIOD]
combative [AND] witty [AND] difficult [IMPLY] blushing [PERIOD]
mysterious [IMPLY] witty [PERIOD]
crowded [AND] fragile [IMPLY] mysterious [PERIOD]
gorgeous [AND] frantic [AND] combative [IMPLY] mysterious [PERIOD]
gorgeous [IMPLY] glamorous [PERIOD]
grumpy [IMPLY] frantic [PERIOD]
wide-eyed [AND] difficult [AND] nervous [IMPLY] scared [PERIOD]
witty [AND] friendly [AND] glamorous [IMPLY] excited [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   nervous ⇒ friendly
   friendly ∧ nervous ⇒ witty
   nervous ⇒ friendly
   wide-eyed ⇒ glamorous
   witty ∧ friendly ∧ glamorous ⇒ excited
",1,5
"Facts:  Alice is diplomatic [PERIOD] Alice is anxious [PERIOD] Alice is disgusted [PERIOD] Alice is pleasant [PERIOD] Alice is elegant [PERIOD]
Rules:
diplomatic [IMPLY] pleasant [PERIOD]
elegant [IMPLY] diplomatic [PERIOD]
attractive [AND] pleasant [AND] perfect [IMPLY] anxious [PERIOD]
disgusted [AND] attractive [IMPLY] perfect [PERIOD]
anxious [IMPLY] perfect [PERIOD]
attractive [AND] diplomatic [IMPLY] elegant [PERIOD]
attractive [AND] pleasant [AND] anxious [IMPLY] diplomatic [PERIOD]
perfect [AND] anxious [AND] disgusted [IMPLY] diplomatic [PERIOD]
attractive [AND] diplomatic [AND] perfect [IMPLY] anxious [PERIOD]
attractive [AND] disgusted [AND] anxious [IMPLY] pleasant [PERIOD]
attractive [IMPLY] diplomatic [PERIOD]
diplomatic [AND] anxious [IMPLY] elegant [PERIOD]
elegant [AND] diplomatic [IMPLY] perfect [PERIOD]
attractive [AND] diplomatic [AND] elegant [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] diplomatic [PERIOD]
perfect [AND] elegant [IMPLY] pleasant [PERIOD]
perfect [AND] attractive [IMPLY] pleasant [PERIOD]
anxious [AND] pleasant [IMPLY] disgusted [PERIOD]
pleasant [AND] disgusted [AND] anxious [IMPLY] elegant [PERIOD]
perfect [AND] diplomatic [AND] disgusted [IMPLY] anxious [PERIOD]
pleasant [AND] anxious [AND] perfect [IMPLY] diplomatic [PERIOD]
disgusted [IMPLY] elegant [PERIOD]
anxious [IMPLY] pleasant [PERIOD]
diplomatic [IMPLY] elegant [PERIOD]
perfect [AND] pleasant [IMPLY] attractive [PERIOD]
elegant [AND] attractive [AND] diplomatic [IMPLY] pleasant [PERIOD]
perfect [AND] disgusted [IMPLY] pleasant [PERIOD]
Query: Alice is disgusted [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is tender [PERIOD]
Rules:
charming [AND] jittery [AND] nervous [IMPLY] smart [PERIOD]
dishonest [IMPLY] charming [PERIOD]
tender [AND] dishonest [AND] charming [IMPLY] nervous [PERIOD]
gifted [IMPLY] jittery [PERIOD]
nervous [AND] gifted [IMPLY] jittery [PERIOD]
gifted [AND] nervous [AND] charming [IMPLY] thoughtless [PERIOD]
dishonest [AND] gifted [AND] tender [IMPLY] thoughtless [PERIOD]
jittery [AND] smart [AND] thoughtless [IMPLY] tender [PERIOD]
dishonest [AND] charming [IMPLY] nervous [PERIOD]
smart [AND] jittery [AND] charming [IMPLY] dishonest [PERIOD]
nervous [IMPLY] gifted [PERIOD]
tender [AND] thoughtless [IMPLY] dishonest [PERIOD]
charming [AND] dishonest [AND] nervous [IMPLY] thoughtless [PERIOD]
gifted [AND] smart [AND] charming [IMPLY] nervous [PERIOD]
dishonest [AND] charming [AND] smart [IMPLY] tender [PERIOD]
gifted [AND] jittery [AND] charming [IMPLY] nervous [PERIOD]
gifted [AND] jittery [AND] tender [IMPLY] nervous [PERIOD]
dishonest [IMPLY] gifted [PERIOD]
nervous [IMPLY] charming [PERIOD]
thoughtless [AND] tender [IMPLY] nervous [PERIOD]
dishonest [AND] jittery [AND] smart [IMPLY] tender [PERIOD]
nervous [IMPLY] jittery [PERIOD]
thoughtless [AND] dishonest [AND] jittery [IMPLY] smart [PERIOD]
charming [AND] gifted [IMPLY] dishonest [PERIOD]
nervous [AND] dishonest [IMPLY] charming [PERIOD]
thoughtless [AND] nervous [IMPLY] gifted [PERIOD]
thoughtless [AND] smart [IMPLY] charming [PERIOD]
gifted [IMPLY] nervous [PERIOD]
nervous [IMPLY] tender [PERIOD]
Query: Alice is gifted [PERIOD]","Proof chain:
   Cannot apply rule “nervous ⇒ gifted” because missing: nervous.
   Cannot apply rule “dishonest ⇒ gifted” because missing: dishonest.
   Cannot apply rule “thoughtless ∧ nervous ⇒ gifted” because missing: thoughtless, nervous.
",0,3
"Facts: 
Rules:
gifted [AND] inexpensive [AND] powerful [IMPLY] innocent [PERIOD]
gifted [AND] blushing [AND] innocent [IMPLY] attractive [PERIOD]
innocent [AND] attractive [IMPLY] blushing [PERIOD]
powerful [AND] inexpensive [AND] gifted [IMPLY] blushing [PERIOD]
excited [IMPLY] gifted [PERIOD]
powerful [AND] amused [IMPLY] tense [PERIOD]
blushing [AND] gifted [IMPLY] attractive [PERIOD]
inexpensive [AND] gifted [AND] excited [IMPLY] tense [PERIOD]
powerful [IMPLY] tense [PERIOD]
inexpensive [IMPLY] innocent [PERIOD]
attractive [IMPLY] excited [PERIOD]
tense [AND] gifted [IMPLY] attractive [PERIOD]
attractive [IMPLY] amused [PERIOD]
gifted [IMPLY] tense [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   Cannot apply rule “powerful ∧ amused ⇒ tense” because missing: powerful, amused.
   Cannot apply rule “inexpensive ∧ gifted ∧ excited ⇒ tense” because missing: inexpensive, gifted, excited.
   Cannot apply rule “powerful ⇒ tense” because missing: powerful.
   Cannot apply rule “gifted ⇒ tense” because missing: gifted.
",0,4
"Facts:  Alice is perfect [PERIOD] Alice is curious [PERIOD] Alice is clumsy [PERIOD] Alice is precious [PERIOD] Alice is shiny [PERIOD] Alice is popular [PERIOD] Alice is powerful [PERIOD] Alice is worrisome [PERIOD]
Rules:
cute [AND] amused [IMPLY] frail [PERIOD]
loving [AND] frail [IMPLY] shiny [PERIOD]
loving [IMPLY] joyous [PERIOD]
curious [AND] worrisome [IMPLY] loving [PERIOD]
curious [IMPLY] hilarious [PERIOD]
powerful [AND] popular [AND] worrisome [IMPLY] busy [PERIOD]
powerful [AND] amused [IMPLY] vivacious [PERIOD]
shiny [AND] curious [AND] joyous [IMPLY] stubborn [PERIOD]
joyous [AND] worrisome [AND] busy [IMPLY] clumsy [PERIOD]
worrisome [AND] clumsy [IMPLY] amused [PERIOD]
shiny [AND] loving [AND] amused [IMPLY] busy [PERIOD]
joyous [AND] perfect [AND] frail [IMPLY] amused [PERIOD]
loving [AND] popular [AND] vivacious [IMPLY] joyous [PERIOD]
hilarious [AND] powerful [AND] loving [IMPLY] joyous [PERIOD]
shiny [AND] hilarious [IMPLY] frail [PERIOD]
cute [AND] clumsy [IMPLY] shiny [PERIOD]
popular [AND] vivacious [IMPLY] amused [PERIOD]
precious [IMPLY] powerful [PERIOD]
cute [IMPLY] busy [PERIOD]
joyous [AND] worrisome [AND] curious [IMPLY] shiny [PERIOD]
vivacious [IMPLY] frail [PERIOD]
precious [AND] perfect [IMPLY] curious [PERIOD]
popular [AND] cute [IMPLY] loving [PERIOD]
precious [IMPLY] busy [PERIOD]
joyous [AND] loving [AND] perfect [IMPLY] worrisome [PERIOD]
cute [AND] hilarious [AND] curious [IMPLY] popular [PERIOD]
stubborn [AND] shiny [IMPLY] hilarious [PERIOD]
frail [AND] cute [IMPLY] joyous [PERIOD]
perfect [AND] cute [IMPLY] popular [PERIOD]
perfect [AND] shiny [IMPLY] busy [PERIOD]
shiny [IMPLY] joyous [PERIOD]
busy [AND] shiny [AND] amused [IMPLY] cute [PERIOD]
joyous [AND] cute [IMPLY] precious [PERIOD]
busy [IMPLY] clumsy [PERIOD]
busy [AND] hilarious [IMPLY] vivacious [PERIOD]
stubborn [AND] busy [AND] curious [IMPLY] joyous [PERIOD]
hilarious [AND] amused [AND] stubborn [IMPLY] vivacious [PERIOD]
joyous [IMPLY] stubborn [PERIOD]
frail [AND] amused [AND] cute [IMPLY] powerful [PERIOD]
precious [AND] vivacious [AND] loving [IMPLY] amused [PERIOD]
precious [AND] amused [IMPLY] frail [PERIOD]
precious [AND] vivacious [IMPLY] clumsy [PERIOD]
amused [IMPLY] popular [PERIOD]
frail [AND] hilarious [IMPLY] precious [PERIOD]
joyous [AND] curious [AND] precious [IMPLY] clumsy [PERIOD]
busy [IMPLY] amused [PERIOD]
cute [AND] busy [AND] curious [IMPLY] popular [PERIOD]
vivacious [AND] hilarious [AND] popular [IMPLY] amused [PERIOD]
worrisome [AND] cute [IMPLY] perfect [PERIOD]
curious [AND] cute [IMPLY] loving [PERIOD]
perfect [AND] worrisome [AND] busy [IMPLY] stubborn [PERIOD]
clumsy [IMPLY] shiny [PERIOD]
clumsy [AND] stubborn [AND] precious [IMPLY] joyous [PERIOD]
vivacious [AND] worrisome [IMPLY] hilarious [PERIOD]
stubborn [AND] powerful [IMPLY] worrisome [PERIOD]
perfect [AND] frail [IMPLY] worrisome [PERIOD]
busy [AND] shiny [IMPLY] clumsy [PERIOD]
vivacious [IMPLY] joyous [PERIOD]
shiny [AND] precious [IMPLY] hilarious [PERIOD]
stubborn [AND] vivacious [IMPLY] powerful [PERIOD]
busy [AND] cute [AND] frail [IMPLY] stubborn [PERIOD]
worrisome [IMPLY] precious [PERIOD]
loving [AND] clumsy [IMPLY] cute [PERIOD]
worrisome [IMPLY] stubborn [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   worrisome ∧ clumsy ⇒ amused
   powerful ∧ amused ⇒ vivacious
",1,2
"Facts: 
Rules:
average [AND] intellectual [IMPLY] difficult [PERIOD]
confident [IMPLY] vivacious [PERIOD]
hilarious [AND] impartial [IMPLY] serious [PERIOD]
average [AND] muddy [AND] ugliest [IMPLY] hilarious [PERIOD]
hurt [AND] helpless [IMPLY] confident [PERIOD]
diplomatic [IMPLY] average [PERIOD]
gifted [AND] cute [IMPLY] helpless [PERIOD]
cute [AND] hurt [AND] thoughtful [IMPLY] average [PERIOD]
muddy [IMPLY] impartial [PERIOD]
horrible [AND] crowded [AND] impartial [IMPLY] helpless [PERIOD]
gifted [AND] joyous [IMPLY] thoughtful [PERIOD]
frightened [AND] hurt [IMPLY] tender [PERIOD]
horrible [AND] thoughtful [IMPLY] crowded [PERIOD]
confident [AND] diplomatic [AND] crowded [IMPLY] mean [PERIOD]
ugliest [AND] perfect [IMPLY] frightened [PERIOD]
proud [AND] difficult [IMPLY] hurt [PERIOD]
perfect [IMPLY] muddy [PERIOD]
intellectual [IMPLY] muddy [PERIOD]
joyous [AND] thoughtful [AND] serious [IMPLY] ugliest [PERIOD]
horrible [AND] joyous [AND] ugliest [IMPLY] difficult [PERIOD]
serious [AND] mean [IMPLY] perfect [PERIOD]
ugliest [AND] cute [IMPLY] excited [PERIOD]
gifted [IMPLY] frightened [PERIOD]
loving [AND] intellectual [AND] average [IMPLY] muddy [PERIOD]
crowded [AND] thoughtful [IMPLY] proud [PERIOD]
joyous [IMPLY] crowded [PERIOD]
difficult [AND] perfect [AND] joyous [IMPLY] hurt [PERIOD]
vivacious [IMPLY] proud [PERIOD]
mean [AND] gifted [AND] hilarious [IMPLY] serious [PERIOD]
crowded [IMPLY] difficult [PERIOD]
joyous [AND] gifted [AND] hurt [IMPLY] intellectual [PERIOD]
proud [IMPLY] serious [PERIOD]
hurt [AND] gifted [AND] cute [IMPLY] proud [PERIOD]
ugliest [IMPLY] average [PERIOD]
intellectual [AND] crowded [IMPLY] mean [PERIOD]
joyous [AND] average [IMPLY] diplomatic [PERIOD]
crowded [AND] excited [IMPLY] confident [PERIOD]
hurt [IMPLY] intellectual [PERIOD]
frightened [AND] crowded [AND] proud [IMPLY] cute [PERIOD]
proud [AND] gifted [IMPLY] crowded [PERIOD]
helpless [IMPLY] frightened [PERIOD]
mean [IMPLY] helpless [PERIOD]
tender [IMPLY] serious [PERIOD]
vivacious [AND] serious [IMPLY] thoughtful [PERIOD]
horrible [AND] thoughtful [AND] hilarious [IMPLY] excited [PERIOD]
muddy [AND] vivacious [AND] horrible [IMPLY] ugliest [PERIOD]
excited [AND] hilarious [AND] tender [IMPLY] cute [PERIOD]
frightened [AND] crowded [IMPLY] hurt [PERIOD]
cute [AND] thoughtful [IMPLY] helpless [PERIOD]
serious [AND] mean [AND] horrible [IMPLY] intellectual [PERIOD]
cute [AND] mean [IMPLY] crowded [PERIOD]
muddy [AND] average [AND] hurt [IMPLY] excited [PERIOD]
loving [AND] vivacious [IMPLY] frightened [PERIOD]
joyous [AND] hilarious [IMPLY] loving [PERIOD]
thoughtful [IMPLY] average [PERIOD]
diplomatic [IMPLY] muddy [PERIOD]
proud [AND] diplomatic [AND] tender [IMPLY] serious [PERIOD]
proud [IMPLY] impartial [PERIOD]
perfect [AND] impartial [AND] difficult [IMPLY] muddy [PERIOD]
disgusted [IMPLY] horrible [PERIOD]
tender [AND] loving [IMPLY] hilarious [PERIOD]
vivacious [AND] thoughtful [AND] confident [IMPLY] intellectual [PERIOD]
difficult [IMPLY] joyous [PERIOD]
perfect [AND] disgusted [AND] hilarious [IMPLY] ugliest [PERIOD]
confident [AND] hilarious [AND] serious [IMPLY] ugliest [PERIOD]
impartial [AND] joyous [IMPLY] ugliest [PERIOD]
joyous [AND] impartial [AND] muddy [IMPLY] hurt [PERIOD]
muddy [AND] helpless [AND] thoughtful [IMPLY] perfect [PERIOD]
impartial [IMPLY] joyous [PERIOD]
mean [AND] diplomatic [IMPLY] hurt [PERIOD]
serious [AND] ugliest [AND] cute [IMPLY] frightened [PERIOD]
hilarious [AND] hurt [IMPLY] muddy [PERIOD]
thoughtful [AND] hilarious [AND] helpless [IMPLY] average [PERIOD]
crowded [AND] confident [IMPLY] loving [PERIOD]
thoughtful [AND] ugliest [IMPLY] muddy [PERIOD]
muddy [IMPLY] vivacious [PERIOD]
thoughtful [IMPLY] serious [PERIOD]
hilarious [AND] helpless [IMPLY] gifted [PERIOD]
disgusted [AND] cute [IMPLY] horrible [PERIOD]
serious [AND] mean [IMPLY] vivacious [PERIOD]
gifted [AND] joyous [IMPLY] vivacious [PERIOD]
hilarious [IMPLY] helpless [PERIOD]
serious [AND] loving [IMPLY] helpless [PERIOD]
tender [IMPLY] perfect [PERIOD]
horrible [AND] confident [IMPLY] frightened [PERIOD]
muddy [AND] proud [IMPLY] loving [PERIOD]
hurt [AND] tender [IMPLY] impartial [PERIOD]
hurt [AND] vivacious [IMPLY] ugliest [PERIOD]
hurt [IMPLY] perfect [PERIOD]
muddy [IMPLY] helpless [PERIOD]
cute [AND] gifted [IMPLY] intellectual [PERIOD]
helpless [AND] vivacious [IMPLY] mean [PERIOD]
disgusted [IMPLY] thoughtful [PERIOD]
joyous [AND] impartial [AND] average [IMPLY] muddy [PERIOD]
disgusted [AND] joyous [IMPLY] tender [PERIOD]
gifted [IMPLY] hurt [PERIOD]
excited [IMPLY] frightened [PERIOD]
tender [IMPLY] mean [PERIOD]
average [AND] loving [AND] vivacious [IMPLY] horrible [PERIOD]
hurt [AND] joyous [AND] vivacious [IMPLY] cute [PERIOD]
serious [IMPLY] helpless [PERIOD]
proud [AND] confident [IMPLY] frightened [PERIOD]
excited [AND] helpless [IMPLY] joyous [PERIOD]
perfect [AND] joyous [AND] average [IMPLY] crowded [PERIOD]
confident [IMPLY] average [PERIOD]
confident [IMPLY] impartial [PERIOD]
hilarious [IMPLY] intellectual [PERIOD]
ugliest [IMPLY] thoughtful [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   Cannot apply rule “disgusted ⇒ horrible” because missing: disgusted.
   Cannot apply rule “disgusted ∧ cute ⇒ horrible” because missing: disgusted, cute.
   Cannot apply rule “average ∧ loving ∧ vivacious ⇒ horrible” because missing: average, loving, vivacious.
",0,3
"Facts: 
Rules:
naughty [IMPLY] precious [PERIOD]
mysterious [IMPLY] tender [PERIOD]
tender [IMPLY] precious [PERIOD]
popular [IMPLY] helpless [PERIOD]
long [IMPLY] precious [PERIOD]
popular [AND] long [IMPLY] stupid [PERIOD]
long [AND] tender [AND] stupid [IMPLY] stubborn [PERIOD]
precious [AND] polite [AND] stubborn [IMPLY] tender [PERIOD]
naughty [AND] helpless [IMPLY] popular [PERIOD]
popular [AND] precious [AND] stubborn [IMPLY] stupid [PERIOD]
wandering [AND] precious [AND] stubborn [IMPLY] naughty [PERIOD]
long [AND] helpless [AND] helpful [IMPLY] tender [PERIOD]
wandering [AND] precious [IMPLY] helpless [PERIOD]
helpful [AND] clean [AND] stubborn [IMPLY] long [PERIOD]
tender [AND] popular [IMPLY] mysterious [PERIOD]
tender [IMPLY] popular [PERIOD]
stupid [AND] long [AND] helpless [IMPLY] stubborn [PERIOD]
clean [AND] stubborn [IMPLY] helpless [PERIOD]
clean [IMPLY] stupid [PERIOD]
long [AND] polite [IMPLY] tender [PERIOD]
stupid [AND] naughty [AND] helpful [IMPLY] mysterious [PERIOD]
clean [AND] wandering [IMPLY] popular [PERIOD]
helpless [IMPLY] mysterious [PERIOD]
popular [AND] naughty [AND] stupid [IMPLY] tender [PERIOD]
helpful [AND] stupid [IMPLY] mysterious [PERIOD]
wandering [AND] clean [AND] stupid [IMPLY] mysterious [PERIOD]
popular [AND] clean [IMPLY] precious [PERIOD]
polite [AND] helpless [IMPLY] mysterious [PERIOD]
helpless [IMPLY] stubborn [PERIOD]
popular [IMPLY] stubborn [PERIOD]
stupid [IMPLY] precious [PERIOD]
wandering [AND] naughty [IMPLY] helpless [PERIOD]
wandering [AND] stubborn [IMPLY] naughty [PERIOD]
mysterious [IMPLY] stubborn [PERIOD]
naughty [IMPLY] popular [PERIOD]
tender [AND] long [IMPLY] popular [PERIOD]
stubborn [AND] helpful [AND] popular [IMPLY] clean [PERIOD]
wandering [AND] polite [IMPLY] helpful [PERIOD]
precious [AND] mysterious [IMPLY] long [PERIOD]
tender [AND] stupid [IMPLY] helpful [PERIOD]
polite [AND] mysterious [IMPLY] wandering [PERIOD]
helpless [AND] helpful [IMPLY] precious [PERIOD]
polite [IMPLY] popular [PERIOD]
long [IMPLY] clean [PERIOD]
stupid [IMPLY] long [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   Cannot apply rule “mysterious ⇒ tender” because missing: mysterious.
   Cannot apply rule “precious ∧ polite ∧ stubborn ⇒ tender” because missing: precious, polite, stubborn.
   Cannot apply rule “long ∧ helpless ∧ helpful ⇒ tender” because missing: long, helpless, helpful.
   Cannot apply rule “long ∧ polite ⇒ tender” because missing: long, polite.
   Cannot apply rule “popular ∧ naughty ∧ stupid ⇒ tender” because missing: popular, naughty, stupid.
",0,5
"Facts:  Alice is excited [PERIOD] Alice is fragile [PERIOD] Alice is different [PERIOD] Alice is victorious [PERIOD] Alice is distinct [PERIOD] Alice is sincere [PERIOD] Alice is adorable [PERIOD] Alice is witty [PERIOD] Alice is cute [PERIOD] Alice is curious [PERIOD] Alice is disgusted [PERIOD] Alice is smart [PERIOD] Alice is condemned [PERIOD] Alice is nervous [PERIOD] Alice is careless [PERIOD] Alice is beautiful [PERIOD]
Rules:
condemned [AND] nervous [IMPLY] adorable [PERIOD]
disgusted [IMPLY] witty [PERIOD]
sincere [AND] cute [IMPLY] careless [PERIOD]
curious [AND] smart [IMPLY] beautiful [PERIOD]
condemned [AND] different [AND] excited [IMPLY] disgusted [PERIOD]
sincere [AND] adorable [IMPLY] careless [PERIOD]
nervous [AND] excited [AND] uptight [IMPLY] witty [PERIOD]
nervous [AND] distinct [IMPLY] uptight [PERIOD]
disgusted [AND] nervous [AND] witty [IMPLY] smart [PERIOD]
distinct [AND] curious [IMPLY] careless [PERIOD]
smart [IMPLY] distinct [PERIOD]
curious [IMPLY] condemned [PERIOD]
uptight [AND] excited [AND] condemned [IMPLY] different [PERIOD]
sincere [AND] adorable [AND] witty [IMPLY] beautiful [PERIOD]
adorable [AND] smart [AND] condemned [IMPLY] careless [PERIOD]
victorious [IMPLY] adorable [PERIOD]
beautiful [AND] disgusted [AND] cute [IMPLY] curious [PERIOD]
different [AND] careless [AND] curious [IMPLY] disgusted [PERIOD]
uptight [AND] sincere [IMPLY] excited [PERIOD]
uptight [AND] adorable [IMPLY] fragile [PERIOD]
sincere [AND] victorious [IMPLY] uptight [PERIOD]
different [AND] witty [IMPLY] victorious [PERIOD]
distinct [AND] adorable [IMPLY] victorious [PERIOD]
distinct [AND] curious [IMPLY] adorable [PERIOD]
beautiful [AND] condemned [IMPLY] witty [PERIOD]
smart [AND] different [IMPLY] uptight [PERIOD]
uptight [IMPLY] curious [PERIOD]
curious [IMPLY] disgusted [PERIOD]
victorious [AND] curious [IMPLY] fragile [PERIOD]
victorious [AND] excited [IMPLY] smart [PERIOD]
fragile [AND] beautiful [IMPLY] different [PERIOD]
nervous [IMPLY] uptight [PERIOD]
nervous [IMPLY] beautiful [PERIOD]
witty [AND] cute [AND] curious [IMPLY] smart [PERIOD]
beautiful [AND] careless [IMPLY] uptight [PERIOD]
nervous [IMPLY] excited [PERIOD]
adorable [AND] disgusted [IMPLY] nervous [PERIOD]
victorious [IMPLY] condemned [PERIOD]
beautiful [AND] adorable [AND] careless [IMPLY] different [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   beautiful ∧ careless ⇒ uptight
",1,1
"Facts: 
Rules:
difficult [AND] clean [IMPLY] helpful [PERIOD]
naughty [IMPLY] wandering [PERIOD]
clean [AND] bright [IMPLY] wandering [PERIOD]
victorious [AND] wandering [IMPLY] rational [PERIOD]
naughty [AND] difficult [AND] wandering [IMPLY] pleasant [PERIOD]
naughty [IMPLY] difficult [PERIOD]
clean [AND] rational [AND] helpful [IMPLY] pleasant [PERIOD]
bright [AND] pleasant [AND] rational [IMPLY] naughty [PERIOD]
naughty [AND] pleasant [IMPLY] clean [PERIOD]
naughty [AND] helpful [AND] worrisome [IMPLY] difficult [PERIOD]
victorious [AND] pleasant [AND] clean [IMPLY] naughty [PERIOD]
wandering [IMPLY] bright [PERIOD]
pleasant [AND] rational [IMPLY] clean [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   Cannot apply rule “naughty ⇒ difficult” because missing: naughty.
   Cannot apply rule “naughty ∧ helpful ∧ worrisome ⇒ difficult” because missing: naughty, helpful, worrisome.
",0,2
"Facts:  Alice is uptight [PERIOD] Alice is good [PERIOD] Alice is homely [PERIOD] Alice is jittery [PERIOD] Alice is fragile [PERIOD] Alice is joyous [PERIOD]
Rules:
straightforward [AND] busy [IMPLY] silly [PERIOD]
good [IMPLY] wide-eyed [PERIOD]
amused [AND] thoughtful [IMPLY] inquisitive [PERIOD]
inquisitive [AND] uptight [IMPLY] thoughtful [PERIOD]
uptight [AND] friendly [IMPLY] thoughtful [PERIOD]
wide-eyed [AND] versatile [AND] silly [IMPLY] bad-tempered [PERIOD]
thoughtful [AND] wide-eyed [AND] tired [IMPLY] uptight [PERIOD]
crowded [AND] thoughtful [IMPLY] homely [PERIOD]
amused [AND] crowded [AND] inquisitive [IMPLY] straightforward [PERIOD]
tense [AND] wide-eyed [AND] thoughtful [IMPLY] fine [PERIOD]
busy [AND] silly [AND] crowded [IMPLY] versatile [PERIOD]
homely [AND] busy [IMPLY] silly [PERIOD]
tense [IMPLY] fragile [PERIOD]
versatile [AND] fine [IMPLY] bad-tempered [PERIOD]
wide-eyed [AND] amused [AND] friendly [IMPLY] versatile [PERIOD]
good [AND] cruel [AND] amused [IMPLY] serious [PERIOD]
busy [AND] wide-eyed [IMPLY] homely [PERIOD]
tense [IMPLY] amused [PERIOD]
busy [AND] cruel [IMPLY] good [PERIOD]
diplomatic [AND] silly [IMPLY] thoughtful [PERIOD]
serious [AND] versatile [AND] silly [IMPLY] diplomatic [PERIOD]
jittery [AND] fragile [IMPLY] fine [PERIOD]
cruel [AND] bad-tempered [AND] homely [IMPLY] tired [PERIOD]
tense [AND] uptight [IMPLY] inquisitive [PERIOD]
bad-tempered [AND] thoughtful [AND] diplomatic [IMPLY] busy [PERIOD]
good [IMPLY] tired [PERIOD]
inquisitive [AND] crowded [AND] hurt [IMPLY] cruel [PERIOD]
joyous [AND] friendly [AND] jittery [IMPLY] silly [PERIOD]
tired [AND] amused [AND] cruel [IMPLY] joyous [PERIOD]
fine [IMPLY] joyous [PERIOD]
joyous [AND] good [AND] busy [IMPLY] fragile [PERIOD]
crowded [AND] straightforward [IMPLY] cruel [PERIOD]
wide-eyed [AND] crowded [IMPLY] silly [PERIOD]
amused [IMPLY] joyous [PERIOD]
cruel [AND] straightforward [IMPLY] amused [PERIOD]
thoughtful [AND] jittery [AND] tense [IMPLY] versatile [PERIOD]
joyous [AND] busy [IMPLY] silly [PERIOD]
bad-tempered [IMPLY] jittery [PERIOD]
bad-tempered [AND] serious [IMPLY] tired [PERIOD]
good [AND] versatile [IMPLY] homely [PERIOD]
fragile [AND] crowded [IMPLY] tense [PERIOD]
bad-tempered [AND] serious [AND] silly [IMPLY] tense [PERIOD]
versatile [IMPLY] silly [PERIOD]
uptight [AND] joyous [IMPLY] cruel [PERIOD]
silly [AND] hurt [IMPLY] crowded [PERIOD]
joyous [AND] versatile [AND] fragile [IMPLY] wide-eyed [PERIOD]
hurt [AND] homely [IMPLY] tense [PERIOD]
homely [IMPLY] uptight [PERIOD]
good [IMPLY] bad-tempered [PERIOD]
hurt [AND] bad-tempered [IMPLY] tired [PERIOD]
inquisitive [IMPLY] friendly [PERIOD]
thoughtful [AND] amused [AND] inquisitive [IMPLY] versatile [PERIOD]
jittery [AND] hurt [IMPLY] fragile [PERIOD]
straightforward [AND] jittery [IMPLY] crowded [PERIOD]
joyous [IMPLY] good [PERIOD]
good [AND] thoughtful [AND] crowded [IMPLY] fragile [PERIOD]
uptight [AND] bad-tempered [AND] fine [IMPLY] cruel [PERIOD]
fine [IMPLY] friendly [PERIOD]
uptight [AND] joyous [AND] bad-tempered [IMPLY] cruel [PERIOD]
bad-tempered [IMPLY] fine [PERIOD]
silly [AND] straightforward [IMPLY] crowded [PERIOD]
versatile [AND] fine [IMPLY] good [PERIOD]
diplomatic [IMPLY] bad-tempered [PERIOD]
silly [AND] amused [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] tired [PERIOD]
amused [AND] cruel [AND] diplomatic [IMPLY] fragile [PERIOD]
thoughtful [AND] inquisitive [AND] homely [IMPLY] versatile [PERIOD]
crowded [AND] versatile [IMPLY] bad-tempered [PERIOD]
straightforward [IMPLY] versatile [PERIOD]
silly [IMPLY] good [PERIOD]
amused [AND] straightforward [AND] tired [IMPLY] versatile [PERIOD]
fine [AND] silly [IMPLY] wide-eyed [PERIOD]
cruel [IMPLY] fragile [PERIOD]
bad-tempered [AND] diplomatic [IMPLY] wide-eyed [PERIOD]
thoughtful [AND] serious [AND] fragile [IMPLY] amused [PERIOD]
joyous [AND] amused [AND] tired [IMPLY] bad-tempered [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   Cannot apply rule “fragile ∧ crowded ⇒ tense” because missing: crowded.
   good ⇒ bad-tempered
   jittery ∧ fragile ⇒ fine
   fine ⇒ friendly
   joyous ∧ friendly ∧ jittery ⇒ silly
   Cannot apply rule “bad-tempered ∧ serious ∧ silly ⇒ tense” because missing: serious.
   Cannot apply rule “hurt ∧ homely ⇒ tense” because missing: hurt.
",0,7
"Facts:  Alice is ugly [PERIOD] Alice is fragile [PERIOD] Alice is worried [PERIOD] Alice is exuberant [PERIOD] Alice is tense [PERIOD] Alice is embarrassed [PERIOD]
Rules:
glamorous [IMPLY] unpleasant [PERIOD]
tense [IMPLY] embarrassed [PERIOD]
exuberant [IMPLY] worried [PERIOD]
mysterious [IMPLY] exuberant [PERIOD]
worried [AND] glamorous [AND] tense [IMPLY] bored [PERIOD]
bored [AND] embarrassed [IMPLY] tense [PERIOD]
embarrassed [AND] bored [AND] worried [IMPLY] glamorous [PERIOD]
exuberant [IMPLY] jittery [PERIOD]
exuberant [IMPLY] unpleasant [PERIOD]
ugly [IMPLY] bored [PERIOD]
glamorous [AND] exuberant [IMPLY] tense [PERIOD]
unpleasant [IMPLY] glamorous [PERIOD]
mysterious [AND] jittery [AND] tense [IMPLY] fragile [PERIOD]
exuberant [AND] bored [IMPLY] embarrassed [PERIOD]
worried [IMPLY] exuberant [PERIOD]
glamorous [AND] fragile [IMPLY] worried [PERIOD]
embarrassed [AND] ugly [IMPLY] exuberant [PERIOD]
fragile [AND] glamorous [IMPLY] unpleasant [PERIOD]
glamorous [AND] mysterious [IMPLY] worried [PERIOD]
tense [AND] worried [AND] exuberant [IMPLY] ugly [PERIOD]
bored [AND] embarrassed [AND] glamorous [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] bored [PERIOD]
worried [AND] glamorous [AND] embarrassed [IMPLY] ugly [PERIOD]
glamorous [AND] ugly [IMPLY] tense [PERIOD]
exuberant [AND] ugly [IMPLY] jittery [PERIOD]
tense [AND] bored [AND] embarrassed [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] exuberant [PERIOD]
fragile [IMPLY] worried [PERIOD]
jittery [AND] unpleasant [IMPLY] exuberant [PERIOD]
fragile [AND] bored [AND] worried [IMPLY] unpleasant [PERIOD]
fragile [AND] jittery [AND] exuberant [IMPLY] bored [PERIOD]
fragile [AND] ugly [AND] unpleasant [IMPLY] tense [PERIOD]
mysterious [AND] embarrassed [IMPLY] exuberant [PERIOD]
mysterious [AND] embarrassed [IMPLY] jittery [PERIOD]
jittery [AND] glamorous [AND] exuberant [IMPLY] fragile [PERIOD]
bored [IMPLY] tense [PERIOD]
mysterious [AND] embarrassed [AND] exuberant [IMPLY] ugly [PERIOD]
embarrassed [AND] unpleasant [AND] mysterious [IMPLY] bored [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   ugly ⇒ bored
   ugly ⇒ bored
   embarrassed ∧ bored ∧ worried ⇒ glamorous
   bored ∧ embarrassed ∧ glamorous ⇒ mysterious
",1,4
"Facts:  Alice is average [PERIOD] Alice is unpleasant [PERIOD]
Rules:
impartial [AND] average [AND] confused [IMPLY] dull [PERIOD]
unpleasant [AND] dull [AND] frightened [IMPLY] bossy [PERIOD]
dull [AND] average [AND] confused [IMPLY] frightened [PERIOD]
bossy [IMPLY] beautiful [PERIOD]
stormy [AND] impartial [IMPLY] average [PERIOD]
impartial [AND] beautiful [AND] dull [IMPLY] unpleasant [PERIOD]
stormy [IMPLY] impartial [PERIOD]
average [AND] bossy [AND] frightened [IMPLY] impartial [PERIOD]
inquisitive [AND] frightened [IMPLY] unpleasant [PERIOD]
dull [IMPLY] bossy [PERIOD]
stormy [AND] average [AND] inquisitive [IMPLY] unpleasant [PERIOD]
bossy [AND] inquisitive [AND] stormy [IMPLY] impartial [PERIOD]
impartial [IMPLY] confused [PERIOD]
inquisitive [AND] beautiful [AND] frightened [IMPLY] impartial [PERIOD]
inquisitive [IMPLY] confused [PERIOD]
beautiful [AND] dull [IMPLY] stormy [PERIOD]
beautiful [AND] impartial [AND] average [IMPLY] stormy [PERIOD]
confused [AND] beautiful [IMPLY] bossy [PERIOD]
bossy [AND] confused [AND] average [IMPLY] stormy [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   Cannot apply rule “unpleasant ∧ dull ∧ frightened ⇒ bossy” because missing: dull, frightened.
   Cannot apply rule “dull ⇒ bossy” because missing: dull.
   Cannot apply rule “confused ∧ beautiful ⇒ bossy” because missing: confused, beautiful.
",0,3
"Facts:  Alice is victorious [PERIOD]
Rules:
ugliest [AND] zealous [IMPLY] impartial [PERIOD]
charming [IMPLY] outstanding [PERIOD]
rude [IMPLY] ugliest [PERIOD]
plain [IMPLY] impartial [PERIOD]
disgusted [AND] light [IMPLY] precious [PERIOD]
elegant [IMPLY] helpless [PERIOD]
ugliest [AND] adorable [AND] charming [IMPLY] impatient [PERIOD]
worried [AND] lonely [IMPLY] impartial [PERIOD]
victorious [AND] ugliest [AND] sleepy [IMPLY] elegant [PERIOD]
zealous [AND] plain [IMPLY] outstanding [PERIOD]
wide-eyed [AND] easy [IMPLY] horrible [PERIOD]
rude [AND] wide-eyed [IMPLY] thoughtful [PERIOD]
lonely [IMPLY] horrible [PERIOD]
light [AND] disgusted [IMPLY] rude [PERIOD]
worried [IMPLY] charming [PERIOD]
tense [AND] thoughtful [AND] bad-tempered [IMPLY] clumsy [PERIOD]
impatient [AND] charming [IMPLY] sleepy [PERIOD]
bad-tempered [IMPLY] ugliest [PERIOD]
helpless [IMPLY] plain [PERIOD]
lonely [AND] horrible [IMPLY] worried [PERIOD]
outrageous [AND] elegant [AND] sleepy [IMPLY] zealous [PERIOD]
clumsy [AND] adorable [AND] precious [IMPLY] distinct [PERIOD]
distinct [IMPLY] tense [PERIOD]
light [AND] worried [AND] precious [IMPLY] outrageous [PERIOD]
lonely [AND] tense [AND] wide-eyed [IMPLY] outstanding [PERIOD]
helpless [AND] zealous [AND] lonely [IMPLY] rude [PERIOD]
zealous [AND] precious [IMPLY] victorious [PERIOD]
tense [AND] easy [IMPLY] impartial [PERIOD]
impartial [IMPLY] precious [PERIOD]
tense [AND] bad-tempered [IMPLY] outrageous [PERIOD]
elegant [IMPLY] impatient [PERIOD]
bad-tempered [AND] ugliest [AND] rude [IMPLY] anxious [PERIOD]
elegant [IMPLY] disgusted [PERIOD]
outrageous [IMPLY] alert [PERIOD]
easy [IMPLY] adorable [PERIOD]
tense [IMPLY] lonely [PERIOD]
zealous [AND] rude [IMPLY] precious [PERIOD]
easy [AND] outrageous [IMPLY] horrible [PERIOD]
precious [AND] outstanding [AND] helpless [IMPLY] distinct [PERIOD]
worried [IMPLY] impatient [PERIOD]
thoughtful [IMPLY] tense [PERIOD]
lonely [IMPLY] bad-tempered [PERIOD]
victorious [AND] wide-eyed [AND] sleepy [IMPLY] light [PERIOD]
outstanding [AND] disgusted [AND] lonely [IMPLY] plain [PERIOD]
lonely [AND] easy [IMPLY] plain [PERIOD]
easy [AND] outrageous [IMPLY] ugliest [PERIOD]
elegant [IMPLY] charming [PERIOD]
ugliest [AND] disgusted [IMPLY] distinct [PERIOD]
bad-tempered [AND] worried [IMPLY] sleepy [PERIOD]
elegant [AND] victorious [IMPLY] ugliest [PERIOD]
thoughtful [IMPLY] impatient [PERIOD]
elegant [AND] victorious [AND] outstanding [IMPLY] charming [PERIOD]
thoughtful [IMPLY] distinct [PERIOD]
distinct [IMPLY] precious [PERIOD]
distinct [IMPLY] wide-eyed [PERIOD]
helpless [IMPLY] rude [PERIOD]
impatient [AND] bad-tempered [IMPLY] adorable [PERIOD]
horrible [AND] lonely [IMPLY] bad-tempered [PERIOD]
helpless [AND] lonely [IMPLY] plain [PERIOD]
adorable [AND] worried [AND] plain [IMPLY] tense [PERIOD]
alert [IMPLY] easy [PERIOD]
zealous [IMPLY] alert [PERIOD]
bad-tempered [AND] horrible [AND] precious [IMPLY] sleepy [PERIOD]
worried [AND] disgusted [AND] outrageous [IMPLY] alert [PERIOD]
precious [IMPLY] impatient [PERIOD]
zealous [AND] tense [AND] precious [IMPLY] bad-tempered [PERIOD]
victorious [AND] adorable [AND] outstanding [IMPLY] precious [PERIOD]
lonely [AND] thoughtful [AND] tense [IMPLY] anxious [PERIOD]
elegant [AND] helpless [AND] lonely [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] alert [PERIOD]
elegant [IMPLY] wide-eyed [PERIOD]
impatient [AND] tense [IMPLY] lonely [PERIOD]
thoughtful [AND] wide-eyed [AND] impatient [IMPLY] elegant [PERIOD]
outrageous [AND] outstanding [AND] helpless [IMPLY] elegant [PERIOD]
anxious [AND] disgusted [IMPLY] clumsy [PERIOD]
wide-eyed [AND] anxious [AND] impartial [IMPLY] zealous [PERIOD]
ugliest [IMPLY] thoughtful [PERIOD]
easy [AND] precious [IMPLY] light [PERIOD]
wide-eyed [AND] plain [IMPLY] distinct [PERIOD]
adorable [IMPLY] easy [PERIOD]
sleepy [IMPLY] thoughtful [PERIOD]
horrible [AND] bad-tempered [IMPLY] wide-eyed [PERIOD]
distinct [IMPLY] helpless [PERIOD]
clumsy [AND] charming [IMPLY] rude [PERIOD]
impatient [AND] outstanding [IMPLY] thoughtful [PERIOD]
charming [AND] precious [AND] bad-tempered [IMPLY] rude [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   Cannot apply rule “lonely ⇒ bad-tempered” because missing: lonely.
   Cannot apply rule “horrible ∧ lonely ⇒ bad-tempered” because missing: horrible, lonely.
   Cannot apply rule “zealous ∧ tense ∧ precious ⇒ bad-tempered” because missing: zealous, tense, precious.
",0,3
"Facts:  Alice is confident [PERIOD] Alice is long [PERIOD] Alice is cruel [PERIOD] Alice is easy [PERIOD] Alice is attractive [PERIOD] Alice is calm [PERIOD] Alice is hypocritical [PERIOD] Alice is mean [PERIOD] Alice is messy [PERIOD]
Rules:
easy [AND] attractive [IMPLY] mean [PERIOD]
easy [AND] calm [AND] cruel [IMPLY] enchanting [PERIOD]
calm [AND] mean [AND] confident [IMPLY] hypocritical [PERIOD]
mean [AND] long [AND] confident [IMPLY] calm [PERIOD]
anxious [IMPLY] enchanting [PERIOD]
mean [AND] rude [AND] confident [IMPLY] quaint [PERIOD]
joyous [AND] cruel [IMPLY] confident [PERIOD]
cruel [AND] enchanting [AND] anxious [IMPLY] long [PERIOD]
calm [AND] mean [IMPLY] easy [PERIOD]
anxious [AND] cruel [AND] quaint [IMPLY] hypocritical [PERIOD]
messy [AND] mean [AND] rude [IMPLY] joyous [PERIOD]
bossy [AND] long [IMPLY] enchanting [PERIOD]
long [IMPLY] easy [PERIOD]
long [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] mean [PERIOD]
joyous [AND] quaint [AND] mean [IMPLY] confident [PERIOD]
enchanting [AND] anxious [IMPLY] easy [PERIOD]
bossy [AND] enchanting [AND] mean [IMPLY] confident [PERIOD]
easy [IMPLY] messy [PERIOD]
bossy [IMPLY] messy [PERIOD]
mean [AND] messy [AND] joyous [IMPLY] enchanting [PERIOD]
attractive [AND] easy [AND] calm [IMPLY] confident [PERIOD]
anxious [AND] long [IMPLY] calm [PERIOD]
rude [IMPLY] messy [PERIOD]
rude [AND] hypocritical [AND] mean [IMPLY] attractive [PERIOD]
calm [IMPLY] hypocritical [PERIOD]
messy [AND] confident [AND] bossy [IMPLY] rude [PERIOD]
calm [IMPLY] mean [PERIOD]
cruel [IMPLY] messy [PERIOD]
messy [IMPLY] enchanting [PERIOD]
easy [AND] calm [AND] anxious [IMPLY] enchanting [PERIOD]
calm [AND] attractive [IMPLY] enchanting [PERIOD]
cruel [AND] mean [AND] enchanting [IMPLY] rude [PERIOD]
enchanting [AND] mean [IMPLY] cruel [PERIOD]
easy [AND] bossy [AND] rude [IMPLY] joyous [PERIOD]
bossy [IMPLY] long [PERIOD]
attractive [AND] calm [IMPLY] messy [PERIOD]
hypocritical [AND] mean [AND] confident [IMPLY] joyous [PERIOD]
anxious [AND] joyous [IMPLY] calm [PERIOD]
confident [IMPLY] long [PERIOD]
hypocritical [AND] bossy [AND] joyous [IMPLY] anxious [PERIOD]
quaint [AND] rude [AND] hypocritical [IMPLY] easy [PERIOD]
rude [IMPLY] easy [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   calm ∧ attractive ⇒ enchanting
   cruel ∧ mean ∧ enchanting ⇒ rude
   mean ∧ rude ∧ confident ⇒ quaint
",1,3
"Facts:  Alice is precious [PERIOD] Alice is jittery [PERIOD] Alice is vivacious [PERIOD] Alice is innocent [PERIOD] Alice is long [PERIOD] Alice is talented [PERIOD] Alice is clumsy [PERIOD] Alice is worrisome [PERIOD]
Rules:
precious [IMPLY] jittery [PERIOD]
distinct [AND] worrisome [IMPLY] unpleasant [PERIOD]
innocent [IMPLY] jittery [PERIOD]
combative [AND] worrisome [IMPLY] stormy [PERIOD]
witty [AND] vivacious [IMPLY] combative [PERIOD]
ugliest [IMPLY] talented [PERIOD]
clumsy [AND] elegant [AND] spotless [IMPLY] innocent [PERIOD]
light [AND] different [AND] witty [IMPLY] vivacious [PERIOD]
distinct [AND] worrisome [AND] light [IMPLY] precious [PERIOD]
stormy [IMPLY] unpleasant [PERIOD]
different [AND] long [AND] innocent [IMPLY] distinct [PERIOD]
different [AND] stormy [AND] combative [IMPLY] unpleasant [PERIOD]
jittery [AND] combative [AND] clumsy [IMPLY] distinct [PERIOD]
innocent [IMPLY] precious [PERIOD]
innocent [IMPLY] ugliest [PERIOD]
witty [IMPLY] elegant [PERIOD]
unpleasant [IMPLY] different [PERIOD]
long [AND] ugliest [AND] stormy [IMPLY] precious [PERIOD]
stormy [IMPLY] worrisome [PERIOD]
witty [AND] vivacious [AND] ugliest [IMPLY] different [PERIOD]
light [IMPLY] distinct [PERIOD]
ugliest [IMPLY] precious [PERIOD]
precious [AND] worrisome [AND] witty [IMPLY] clumsy [PERIOD]
innocent [IMPLY] long [PERIOD]
stormy [IMPLY] distinct [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   Cannot apply rule “unpleasant ⇒ different” because missing: unpleasant.
   innocent ⇒ ugliest
   Cannot apply rule “witty ∧ vivacious ∧ ugliest ⇒ different” because missing: witty.
",0,3
"Facts:  Alice is gifted [PERIOD] Alice is easy [PERIOD] Alice is attractive [PERIOD] Alice is impatient [PERIOD] Alice is curious [PERIOD] Alice is aggressive [PERIOD] Alice is grumpy [PERIOD] Alice is fearless [PERIOD]
Rules:
gifted [AND] loving [AND] elated [IMPLY] muddy [PERIOD]
alert [IMPLY] muddy [PERIOD]
aggressive [AND] enchanting [AND] attractive [IMPLY] easy [PERIOD]
serious [IMPLY] stormy [PERIOD]
impartial [IMPLY] fearless [PERIOD]
easy [AND] messy [AND] alert [IMPLY] muddy [PERIOD]
enchanting [AND] elated [AND] muddy [IMPLY] aggressive [PERIOD]
sleepy [AND] light [AND] stubborn [IMPLY] alert [PERIOD]
tame [AND] easy [IMPLY] alert [PERIOD]
enchanting [AND] curious [IMPLY] impatient [PERIOD]
loving [AND] gifted [AND] impatient [IMPLY] stubborn [PERIOD]
messy [IMPLY] rational [PERIOD]
jittery [IMPLY] fearless [PERIOD]
alert [AND] jittery [AND] curious [IMPLY] light [PERIOD]
light [AND] fine [IMPLY] selfish [PERIOD]
fearless [IMPLY] selfish [PERIOD]
alert [AND] sleepy [IMPLY] serious [PERIOD]
fearless [IMPLY] difficult [PERIOD]
easy [AND] enchanting [IMPLY] naughty [PERIOD]
muddy [AND] loving [AND] jittery [IMPLY] sleepy [PERIOD]
bossy [IMPLY] grumpy [PERIOD]
impatient [AND] curious [IMPLY] loving [PERIOD]
fearless [AND] difficult [IMPLY] rational [PERIOD]
stubborn [AND] serious [AND] impatient [IMPLY] selfish [PERIOD]
impartial [AND] naughty [IMPLY] sleepy [PERIOD]
modern [AND] bossy [IMPLY] difficult [PERIOD]
tame [IMPLY] impatient [PERIOD]
rational [AND] jittery [AND] serious [IMPLY] messy [PERIOD]
gifted [IMPLY] alert [PERIOD]
easy [AND] jittery [AND] difficult [IMPLY] stubborn [PERIOD]
modern [IMPLY] fine [PERIOD]
easy [AND] attractive [AND] sleepy [IMPLY] fine [PERIOD]
impartial [IMPLY] attractive [PERIOD]
difficult [AND] muddy [AND] bossy [IMPLY] naughty [PERIOD]
impatient [AND] stubborn [IMPLY] modern [PERIOD]
stormy [AND] light [IMPLY] modern [PERIOD]
rational [AND] grumpy [AND] alert [IMPLY] enchanting [PERIOD]
rational [AND] enchanting [IMPLY] difficult [PERIOD]
enchanting [AND] stormy [IMPLY] messy [PERIOD]
attractive [AND] curious [AND] sleepy [IMPLY] rational [PERIOD]
alert [AND] fine [AND] grumpy [IMPLY] jittery [PERIOD]
muddy [AND] attractive [AND] light [IMPLY] rational [PERIOD]
serious [AND] attractive [IMPLY] grumpy [PERIOD]
light [IMPLY] impartial [PERIOD]
fine [IMPLY] gifted [PERIOD]
grumpy [AND] elated [IMPLY] alert [PERIOD]
easy [IMPLY] modern [PERIOD]
stormy [AND] serious [AND] muddy [IMPLY] light [PERIOD]
stubborn [AND] impatient [IMPLY] easy [PERIOD]
bossy [AND] alert [IMPLY] gifted [PERIOD]
stubborn [AND] grumpy [IMPLY] gifted [PERIOD]
impartial [AND] aggressive [AND] naughty [IMPLY] light [PERIOD]
gifted [IMPLY] enchanting [PERIOD]
muddy [AND] modern [IMPLY] stubborn [PERIOD]
fearless [IMPLY] grumpy [PERIOD]
enchanting [IMPLY] bossy [PERIOD]
naughty [AND] elated [IMPLY] fearless [PERIOD]
enchanting [AND] aggressive [AND] light [IMPLY] curious [PERIOD]
muddy [IMPLY] difficult [PERIOD]
naughty [IMPLY] tame [PERIOD]
tame [AND] messy [AND] stormy [IMPLY] alert [PERIOD]
elated [AND] light [IMPLY] loving [PERIOD]
fearless [AND] elated [IMPLY] messy [PERIOD]
messy [IMPLY] loving [PERIOD]
rational [AND] grumpy [AND] difficult [IMPLY] loving [PERIOD]
elated [IMPLY] bossy [PERIOD]
attractive [AND] muddy [AND] loving [IMPLY] rational [PERIOD]
tame [AND] rational [IMPLY] modern [PERIOD]
fine [AND] attractive [AND] curious [IMPLY] sleepy [PERIOD]
sleepy [AND] jittery [AND] stormy [IMPLY] enchanting [PERIOD]
naughty [AND] difficult [AND] bossy [IMPLY] impatient [PERIOD]
stormy [AND] sleepy [AND] grumpy [IMPLY] enchanting [PERIOD]
impatient [AND] grumpy [IMPLY] difficult [PERIOD]
gifted [IMPLY] modern [PERIOD]
stormy [AND] curious [IMPLY] fine [PERIOD]
serious [AND] aggressive [AND] sleepy [IMPLY] curious [PERIOD]
fine [AND] tame [AND] light [IMPLY] messy [PERIOD]
tame [IMPLY] loving [PERIOD]
sleepy [AND] fine [IMPLY] rational [PERIOD]
modern [AND] attractive [IMPLY] bossy [PERIOD]
impartial [AND] light [IMPLY] fine [PERIOD]
elated [IMPLY] difficult [PERIOD]
loving [AND] tame [AND] light [IMPLY] fine [PERIOD]
selfish [AND] elated [AND] fearless [IMPLY] grumpy [PERIOD]
gifted [AND] elated [IMPLY] enchanting [PERIOD]
elated [AND] impartial [IMPLY] serious [PERIOD]
grumpy [AND] aggressive [AND] jittery [IMPLY] naughty [PERIOD]
serious [IMPLY] fearless [PERIOD]
alert [AND] enchanting [IMPLY] grumpy [PERIOD]
impartial [AND] muddy [AND] curious [IMPLY] jittery [PERIOD]
messy [AND] light [IMPLY] impatient [PERIOD]
impartial [AND] difficult [AND] naughty [IMPLY] stubborn [PERIOD]
gifted [AND] alert [AND] bossy [IMPLY] tame [PERIOD]
fine [AND] stormy [IMPLY] modern [PERIOD]
enchanting [AND] fearless [AND] impatient [IMPLY] difficult [PERIOD]
fearless [IMPLY] bossy [PERIOD]
aggressive [IMPLY] gifted [PERIOD]
aggressive [AND] alert [IMPLY] light [PERIOD]
grumpy [IMPLY] naughty [PERIOD]
selfish [AND] fearless [IMPLY] messy [PERIOD]
fine [AND] sleepy [AND] attractive [IMPLY] bossy [PERIOD]
gifted [AND] grumpy [AND] bossy [IMPLY] messy [PERIOD]
stubborn [AND] modern [IMPLY] grumpy [PERIOD]
gifted [AND] grumpy [IMPLY] impatient [PERIOD]
fine [AND] difficult [AND] enchanting [IMPLY] attractive [PERIOD]
gifted [AND] selfish [AND] muddy [IMPLY] attractive [PERIOD]
light [IMPLY] difficult [PERIOD]
impartial [IMPLY] muddy [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   gifted ⇒ alert
   easy ⇒ modern
   modern ⇒ fine
   fine ∧ attractive ∧ curious ⇒ sleepy
   alert ∧ sleepy ⇒ serious
   serious ⇒ stormy
",1,6
"Facts:  Alice is distinct [PERIOD] Alice is courageous [PERIOD]
Rules:
fancy [AND] worried [IMPLY] mysterious [PERIOD]
spotless [AND] clumsy [IMPLY] strange [PERIOD]
scared [AND] outstanding [IMPLY] spotless [PERIOD]
worried [IMPLY] courageous [PERIOD]
worried [IMPLY] spotless [PERIOD]
courageous [AND] rational [IMPLY] difficult [PERIOD]
uptight [AND] helpful [AND] outstanding [IMPLY] wide-eyed [PERIOD]
elegant [AND] worried [AND] fancy [IMPLY] strange [PERIOD]
scared [AND] good [AND] courageous [IMPLY] inexpensive [PERIOD]
mysterious [AND] scared [AND] elegant [IMPLY] wide-eyed [PERIOD]
spotless [AND] good [AND] distinct [IMPLY] wide-eyed [PERIOD]
scared [IMPLY] inexpensive [PERIOD]
scared [IMPLY] helpful [PERIOD]
fancy [AND] wide-eyed [AND] difficult [IMPLY] scared [PERIOD]
clumsy [IMPLY] difficult [PERIOD]
good [AND] distinct [AND] fancy [IMPLY] helpless [PERIOD]
hurt [AND] difficult [AND] fancy [IMPLY] strange [PERIOD]
uptight [AND] inexpensive [IMPLY] distinct [PERIOD]
strange [IMPLY] spotless [PERIOD]
difficult [AND] helpful [IMPLY] lonely [PERIOD]
spotless [AND] good [IMPLY] uptight [PERIOD]
hurt [AND] uptight [IMPLY] worrisome [PERIOD]
difficult [IMPLY] wide-eyed [PERIOD]
uptight [AND] elegant [IMPLY] fancy [PERIOD]
difficult [AND] wide-eyed [IMPLY] outstanding [PERIOD]
elegant [IMPLY] fancy [PERIOD]
courageous [AND] strange [IMPLY] uptight [PERIOD]
mysterious [IMPLY] hurt [PERIOD]
worried [AND] difficult [IMPLY] outstanding [PERIOD]
outstanding [AND] uptight [AND] worrisome [IMPLY] inexpensive [PERIOD]
elegant [AND] outstanding [IMPLY] rational [PERIOD]
spotless [IMPLY] outstanding [PERIOD]
inexpensive [IMPLY] courageous [PERIOD]
good [IMPLY] fancy [PERIOD]
difficult [AND] scared [AND] courageous [IMPLY] strange [PERIOD]
helpless [IMPLY] clumsy [PERIOD]
helpless [IMPLY] hurt [PERIOD]
difficult [AND] inexpensive [IMPLY] rational [PERIOD]
wide-eyed [AND] distinct [AND] scared [IMPLY] elegant [PERIOD]
helpful [AND] hurt [AND] lonely [IMPLY] mysterious [PERIOD]
fancy [AND] clumsy [IMPLY] good [PERIOD]
strange [AND] hurt [AND] clumsy [IMPLY] wide-eyed [PERIOD]
fancy [IMPLY] rational [PERIOD]
clumsy [IMPLY] inexpensive [PERIOD]
helpless [AND] courageous [AND] worrisome [IMPLY] fancy [PERIOD]
fancy [AND] lonely [IMPLY] mysterious [PERIOD]
wide-eyed [IMPLY] distinct [PERIOD]
clumsy [IMPLY] spotless [PERIOD]
elegant [AND] uptight [AND] hurt [IMPLY] helpful [PERIOD]
hurt [IMPLY] distinct [PERIOD]
fancy [AND] helpful [AND] wide-eyed [IMPLY] scared [PERIOD]
uptight [IMPLY] hurt [PERIOD]
hurt [AND] worrisome [IMPLY] helpless [PERIOD]
helpful [AND] courageous [IMPLY] hurt [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   Cannot apply rule “scared ∧ outstanding ⇒ spotless” because missing: scared, outstanding.
   Cannot apply rule “worried ⇒ spotless” because missing: worried.
   Cannot apply rule “strange ⇒ spotless” because missing: strange.
   Cannot apply rule “clumsy ⇒ spotless” because missing: clumsy.
",0,4
"Facts: 
Rules:
ambitious [AND] disobedient [AND] foolish [IMPLY] homely [PERIOD]
bright [IMPLY] homely [PERIOD]
lonely [IMPLY] foolish [PERIOD]
bright [AND] unpleasant [AND] exuberant [IMPLY] strange [PERIOD]
homely [AND] bright [AND] exuberant [IMPLY] strange [PERIOD]
disobedient [IMPLY] bright [PERIOD]
messy [AND] lonely [IMPLY] disobedient [PERIOD]
disobedient [AND] homely [IMPLY] mysterious [PERIOD]
messy [AND] exuberant [AND] mysterious [IMPLY] ambitious [PERIOD]
strange [IMPLY] unpleasant [PERIOD]
strange [IMPLY] ambitious [PERIOD]
bright [AND] strange [IMPLY] exuberant [PERIOD]
exuberant [AND] unpleasant [IMPLY] bright [PERIOD]
exuberant [AND] mysterious [IMPLY] homely [PERIOD]
bright [AND] lonely [AND] disobedient [IMPLY] unpleasant [PERIOD]
homely [AND] unpleasant [AND] foolish [IMPLY] messy [PERIOD]
disobedient [AND] mysterious [IMPLY] lonely [PERIOD]
bright [AND] strange [IMPLY] ambitious [PERIOD]
disobedient [IMPLY] exuberant [PERIOD]
bright [AND] unpleasant [AND] ambitious [IMPLY] polite [PERIOD]
exuberant [AND] homely [AND] disobedient [IMPLY] foolish [PERIOD]
lonely [IMPLY] homely [PERIOD]
homely [AND] mysterious [AND] strange [IMPLY] exuberant [PERIOD]
unpleasant [AND] disobedient [IMPLY] polite [PERIOD]
messy [IMPLY] ambitious [PERIOD]
polite [AND] lonely [IMPLY] ambitious [PERIOD]
foolish [AND] messy [IMPLY] mysterious [PERIOD]
ambitious [AND] lonely [AND] unpleasant [IMPLY] exuberant [PERIOD]
ambitious [AND] disobedient [AND] messy [IMPLY] unpleasant [PERIOD]
foolish [AND] lonely [AND] bright [IMPLY] homely [PERIOD]
exuberant [AND] polite [AND] disobedient [IMPLY] ambitious [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   Cannot apply rule “ambitious ∧ disobedient ∧ foolish ⇒ homely” because missing: ambitious, disobedient, foolish.
   Cannot apply rule “bright ⇒ homely” because missing: bright.
   Cannot apply rule “exuberant ∧ mysterious ⇒ homely” because missing: exuberant, mysterious.
   Cannot apply rule “lonely ⇒ homely” because missing: lonely.
   Cannot apply rule “foolish ∧ lonely ∧ bright ⇒ homely” because missing: foolish, lonely, bright.
",0,5
"Facts:  Alice is distinct [PERIOD] Alice is bossy [PERIOD] Alice is worried [PERIOD] Alice is stupid [PERIOD] Alice is broad-minded [PERIOD] Alice is proud [PERIOD] Alice is selfish [PERIOD] Alice is easy [PERIOD]
Rules:
stupid [AND] talkative [AND] grumpy [IMPLY] lonely [PERIOD]
disobedient [AND] shy [AND] alert [IMPLY] careless [PERIOD]
straightforward [AND] pessimistic [IMPLY] easy [PERIOD]
lonely [AND] famous [IMPLY] proud [PERIOD]
alert [AND] pessimistic [AND] careless [IMPLY] shy [PERIOD]
stupid [AND] straightforward [AND] selfish [IMPLY] famous [PERIOD]
careless [IMPLY] easy [PERIOD]
shy [IMPLY] talkative [PERIOD]
shy [AND] disobedient [AND] alert [IMPLY] easy [PERIOD]
selfish [IMPLY] easy [PERIOD]
distinct [AND] selfish [IMPLY] broad-minded [PERIOD]
pessimistic [AND] stupid [AND] distinct [IMPLY] bossy [PERIOD]
alert [IMPLY] broad-minded [PERIOD]
pessimistic [AND] talkative [IMPLY] bossy [PERIOD]
alert [IMPLY] talkative [PERIOD]
grumpy [IMPLY] disobedient [PERIOD]
easy [IMPLY] straightforward [PERIOD]
disobedient [AND] straightforward [AND] bossy [IMPLY] talkative [PERIOD]
straightforward [AND] famous [AND] proud [IMPLY] stupid [PERIOD]
easy [AND] straightforward [IMPLY] broad-minded [PERIOD]
lonely [AND] worried [AND] bossy [IMPLY] shy [PERIOD]
shy [AND] broad-minded [IMPLY] disobedient [PERIOD]
lonely [AND] easy [IMPLY] proud [PERIOD]
proud [AND] careless [AND] easy [IMPLY] grumpy [PERIOD]
pessimistic [IMPLY] careless [PERIOD]
easy [AND] careless [AND] broad-minded [IMPLY] stupid [PERIOD]
straightforward [AND] famous [AND] lonely [IMPLY] stupid [PERIOD]
alert [AND] shy [IMPLY] proud [PERIOD]
proud [IMPLY] disobedient [PERIOD]
distinct [AND] disobedient [AND] famous [IMPLY] grumpy [PERIOD]
disobedient [IMPLY] stupid [PERIOD]
proud [AND] worried [AND] pessimistic [IMPLY] distinct [PERIOD]
grumpy [AND] distinct [AND] broad-minded [IMPLY] lonely [PERIOD]
proud [AND] easy [AND] famous [IMPLY] bossy [PERIOD]
grumpy [AND] proud [IMPLY] talkative [PERIOD]
disobedient [AND] worried [AND] lonely [IMPLY] stupid [PERIOD]
lonely [IMPLY] grumpy [PERIOD]
careless [AND] grumpy [IMPLY] selfish [PERIOD]
broad-minded [AND] alert [AND] worried [IMPLY] selfish [PERIOD]
easy [AND] straightforward [IMPLY] pessimistic [PERIOD]
worried [AND] alert [AND] pessimistic [IMPLY] straightforward [PERIOD]
alert [AND] straightforward [AND] talkative [IMPLY] famous [PERIOD]
broad-minded [IMPLY] alert [PERIOD]
stupid [AND] careless [IMPLY] easy [PERIOD]
worried [IMPLY] bossy [PERIOD]
alert [AND] easy [AND] broad-minded [IMPLY] pessimistic [PERIOD]
broad-minded [IMPLY] selfish [PERIOD]
pessimistic [AND] bossy [IMPLY] stupid [PERIOD]
grumpy [AND] selfish [AND] broad-minded [IMPLY] bossy [PERIOD]
alert [AND] selfish [IMPLY] worried [PERIOD]
easy [AND] broad-minded [AND] careless [IMPLY] distinct [PERIOD]
broad-minded [IMPLY] famous [PERIOD]
lonely [AND] alert [AND] shy [IMPLY] worried [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   broad-minded ⇒ alert
   broad-minded ⇒ alert
   alert ∧ easy ∧ broad-minded ⇒ pessimistic
   broad-minded ⇒ alert
   alert ∧ easy ∧ broad-minded ⇒ pessimistic
   pessimistic ⇒ careless
   alert ∧ pessimistic ∧ careless ⇒ shy
",1,7
"Facts:  Alice is easy [PERIOD] Alice is uptight [PERIOD] Alice is thoughtless [PERIOD]
Rules:
gifted [AND] anxious [AND] elated [IMPLY] enchanting [PERIOD]
worried [AND] elated [AND] thoughtless [IMPLY] frail [PERIOD]
anxious [IMPLY] enchanting [PERIOD]
elated [IMPLY] gifted [PERIOD]
thoughtless [AND] worried [AND] nervous [IMPLY] hilarious [PERIOD]
elated [IMPLY] hilarious [PERIOD]
thoughtless [AND] hilarious [IMPLY] gifted [PERIOD]
nervous [AND] worried [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] worried [PERIOD]
gifted [AND] nervous [IMPLY] bad-tempered [PERIOD]
gifted [IMPLY] innocent [PERIOD]
nervous [IMPLY] frail [PERIOD]
innocent [AND] hilarious [AND] thoughtless [IMPLY] elated [PERIOD]
anxious [AND] uptight [AND] innocent [IMPLY] easy [PERIOD]
uptight [AND] worried [AND] innocent [IMPLY] thoughtless [PERIOD]
nervous [AND] frail [IMPLY] uptight [PERIOD]
frail [IMPLY] gifted [PERIOD]
innocent [IMPLY] enchanting [PERIOD]
easy [AND] frail [AND] innocent [IMPLY] worried [PERIOD]
uptight [AND] bad-tempered [IMPLY] frail [PERIOD]
thoughtless [AND] uptight [IMPLY] worried [PERIOD]
elated [AND] hilarious [AND] worried [IMPLY] bad-tempered [PERIOD]
gifted [AND] enchanting [AND] bad-tempered [IMPLY] anxious [PERIOD]
worried [AND] uptight [IMPLY] innocent [PERIOD]
innocent [IMPLY] easy [PERIOD]
worried [AND] anxious [IMPLY] innocent [PERIOD]
worried [IMPLY] innocent [PERIOD]
hilarious [IMPLY] thoughtless [PERIOD]
nervous [AND] innocent [AND] gifted [IMPLY] thoughtless [PERIOD]
frail [AND] bad-tempered [AND] worried [IMPLY] easy [PERIOD]
enchanting [IMPLY] elated [PERIOD]
innocent [AND] worried [IMPLY] elated [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   thoughtless ∧ uptight ⇒ worried
   worried ∧ uptight ⇒ innocent
   thoughtless ∧ uptight ⇒ worried
   innocent ∧ worried ⇒ elated
",1,4
"Facts:  Alice is supportive [PERIOD] Alice is stubborn [PERIOD] Alice is excited [PERIOD] Alice is pessimistic [PERIOD] Alice is disobedient [PERIOD] Alice is mean [PERIOD] Alice is fearless [PERIOD] Alice is impatient [PERIOD] Alice is good [PERIOD] Alice is exuberant [PERIOD] Alice is helpless [PERIOD] Alice is ugliest [PERIOD]
Rules:
pessimistic [AND] busy [AND] stormy [IMPLY] alert [PERIOD]
disobedient [AND] embarrassed [IMPLY] supportive [PERIOD]
easy [AND] busy [IMPLY] selfish [PERIOD]
ugly [AND] mean [IMPLY] impatient [PERIOD]
ugly [AND] busy [AND] exuberant [IMPLY] mean [PERIOD]
stormy [AND] confused [IMPLY] busy [PERIOD]
inquisitive [IMPLY] serious [PERIOD]
fearless [AND] busy [IMPLY] impatient [PERIOD]
exuberant [IMPLY] helpless [PERIOD]
grumpy [AND] precious [IMPLY] helpless [PERIOD]
disobedient [AND] silly [IMPLY] fearless [PERIOD]
inquisitive [IMPLY] precious [PERIOD]
serious [AND] stormy [AND] good [IMPLY] ugly [PERIOD]
charming [IMPLY] fearless [PERIOD]
foolish [AND] bright [AND] alert [IMPLY] good [PERIOD]
stubborn [IMPLY] exuberant [PERIOD]
selfish [AND] serious [AND] grumpy [IMPLY] impatient [PERIOD]
ugliest [AND] long [IMPLY] foolish [PERIOD]
grumpy [IMPLY] impatient [PERIOD]
excited [AND] ugliest [AND] stormy [IMPLY] inquisitive [PERIOD]
helpless [AND] disobedient [IMPLY] busy [PERIOD]
serious [IMPLY] ugliest [PERIOD]
bright [IMPLY] long [PERIOD]
impatient [AND] foolish [AND] silly [IMPLY] helpless [PERIOD]
exuberant [IMPLY] excited [PERIOD]
fearless [IMPLY] alert [PERIOD]
easy [AND] good [IMPLY] alert [PERIOD]
selfish [AND] disobedient [IMPLY] ugly [PERIOD]
grumpy [AND] distinct [IMPLY] mean [PERIOD]
pessimistic [IMPLY] busy [PERIOD]
excited [AND] distinct [AND] disobedient [IMPLY] busy [PERIOD]
supportive [AND] bright [IMPLY] ugliest [PERIOD]
disobedient [AND] pessimistic [IMPLY] stubborn [PERIOD]
fearless [AND] stubborn [AND] silly [IMPLY] foolish [PERIOD]
helpless [AND] ugly [AND] selfish [IMPLY] alert [PERIOD]
busy [IMPLY] distinct [PERIOD]
excited [AND] long [IMPLY] mean [PERIOD]
ugliest [AND] busy [AND] exuberant [IMPLY] long [PERIOD]
ugliest [AND] good [AND] confused [IMPLY] helpless [PERIOD]
serious [AND] ugly [IMPLY] ugliest [PERIOD]
mean [AND] disobedient [IMPLY] helpless [PERIOD]
disobedient [AND] serious [IMPLY] grumpy [PERIOD]
disobedient [AND] selfish [AND] inquisitive [IMPLY] ugliest [PERIOD]
silly [AND] stubborn [IMPLY] pessimistic [PERIOD]
ugliest [AND] stormy [AND] precious [IMPLY] ugly [PERIOD]
embarrassed [AND] stormy [IMPLY] disobedient [PERIOD]
distinct [AND] disobedient [IMPLY] embarrassed [PERIOD]
easy [IMPLY] stubborn [PERIOD]
inquisitive [AND] easy [AND] foolish [IMPLY] silly [PERIOD]
charming [AND] long [AND] easy [IMPLY] confused [PERIOD]
stubborn [IMPLY] pessimistic [PERIOD]
good [IMPLY] pessimistic [PERIOD]
fearless [AND] supportive [AND] mean [IMPLY] ugly [PERIOD]
foolish [AND] busy [AND] disobedient [IMPLY] stubborn [PERIOD]
disobedient [AND] charming [AND] inquisitive [IMPLY] precious [PERIOD]
long [AND] embarrassed [IMPLY] serious [PERIOD]
pessimistic [AND] inquisitive [IMPLY] ugly [PERIOD]
ugliest [AND] silly [IMPLY] ugly [PERIOD]
silly [AND] mean [IMPLY] helpless [PERIOD]
helpless [AND] pessimistic [AND] embarrassed [IMPLY] stormy [PERIOD]
distinct [AND] ugly [IMPLY] confused [PERIOD]
inquisitive [IMPLY] fearless [PERIOD]
good [AND] silly [AND] easy [IMPLY] foolish [PERIOD]
foolish [IMPLY] stubborn [PERIOD]
disobedient [AND] impatient [IMPLY] busy [PERIOD]
silly [AND] selfish [AND] impatient [IMPLY] excited [PERIOD]
stormy [AND] silly [IMPLY] fearless [PERIOD]
embarrassed [AND] selfish [AND] confused [IMPLY] stormy [PERIOD]
ugliest [AND] selfish [IMPLY] easy [PERIOD]
embarrassed [AND] charming [AND] exuberant [IMPLY] ugly [PERIOD]
exuberant [AND] selfish [IMPLY] helpless [PERIOD]
ugliest [AND] exuberant [AND] supportive [IMPLY] foolish [PERIOD]
excited [IMPLY] supportive [PERIOD]
supportive [IMPLY] foolish [PERIOD]
good [AND] selfish [IMPLY] foolish [PERIOD]
ugliest [IMPLY] confused [PERIOD]
busy [IMPLY] good [PERIOD]
good [AND] supportive [IMPLY] ugliest [PERIOD]
long [AND] confused [IMPLY] serious [PERIOD]
bright [AND] long [AND] stormy [IMPLY] confused [PERIOD]
easy [IMPLY] supportive [PERIOD]
grumpy [AND] confused [AND] stubborn [IMPLY] ugliest [PERIOD]
selfish [IMPLY] good [PERIOD]
pessimistic [AND] mean [AND] grumpy [IMPLY] bright [PERIOD]
precious [AND] charming [IMPLY] exuberant [PERIOD]
selfish [IMPLY] busy [PERIOD]
charming [AND] foolish [AND] ugliest [IMPLY] precious [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   helpless ∧ disobedient ⇒ busy
   busy ⇒ distinct
   distinct ∧ disobedient ⇒ embarrassed
   helpless ∧ pessimistic ∧ embarrassed ⇒ stormy
   excited ∧ ugliest ∧ stormy ⇒ inquisitive
   supportive ⇒ foolish
   Cannot apply rule “inquisitive ∧ easy ∧ foolish ⇒ silly” because missing: easy.
",0,7
"Facts:  Alice is tired [PERIOD] Alice is combative [PERIOD] Alice is plain [PERIOD] Alice is troubled [PERIOD] Alice is glamorous [PERIOD] Alice is innocent [PERIOD] Alice is stubborn [PERIOD] Alice is amused [PERIOD] Alice is silly [PERIOD] Alice is famous [PERIOD] Alice is ugliest [PERIOD] Alice is supportive [PERIOD] Alice is embarrassed [PERIOD] Alice is wrong [PERIOD]
Rules:
sincere [AND] wrong [AND] combative [IMPLY] talented [PERIOD]
ugliest [IMPLY] famous [PERIOD]
stubborn [IMPLY] wrong [PERIOD]
wrong [IMPLY] innocent [PERIOD]
amused [AND] glamorous [IMPLY] ugliest [PERIOD]
embarrassed [AND] bad-tempered [AND] amused [IMPLY] plain [PERIOD]
sincere [AND] plain [AND] wrong [IMPLY] glamorous [PERIOD]
embarrassed [IMPLY] amused [PERIOD]
glamorous [IMPLY] ugliest [PERIOD]
innocent [AND] pleasant [IMPLY] stubborn [PERIOD]
pleasant [AND] famous [AND] tired [IMPLY] amused [PERIOD]
bad-tempered [AND] silly [IMPLY] ugliest [PERIOD]
bad-tempered [AND] plain [IMPLY] talkative [PERIOD]
amused [AND] sincere [AND] famous [IMPLY] calm [PERIOD]
stubborn [AND] bored [IMPLY] talented [PERIOD]
pleasant [AND] innocent [AND] bad-tempered [IMPLY] silly [PERIOD]
stubborn [IMPLY] ugliest [PERIOD]
sincere [AND] combative [IMPLY] pleasant [PERIOD]
sincere [AND] glamorous [IMPLY] bad-tempered [PERIOD]
talented [AND] calm [IMPLY] talkative [PERIOD]
tired [AND] plain [AND] bored [IMPLY] supportive [PERIOD]
embarrassed [AND] pleasant [IMPLY] ugliest [PERIOD]
troubled [IMPLY] stubborn [PERIOD]
silly [AND] plain [IMPLY] troubled [PERIOD]
ugliest [IMPLY] amused [PERIOD]
pleasant [IMPLY] amused [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   Cannot apply rule “amused ∧ sincere ∧ famous ⇒ calm” because missing: sincere.
",0,1
"Facts:  Alice is inexpensive [PERIOD] Alice is joyous [PERIOD] Alice is gleaming [PERIOD] Alice is perfect [PERIOD] Alice is shy [PERIOD] Alice is fine [PERIOD] Alice is attentive [PERIOD] Alice is jittery [PERIOD] Alice is sleepy [PERIOD] Alice is different [PERIOD] Alice is zealous [PERIOD] Alice is stormy [PERIOD] Alice is blushing [PERIOD] Alice is long [PERIOD] Alice is talkative [PERIOD] Alice is hurt [PERIOD] Alice is impartial [PERIOD] Alice is diplomatic [PERIOD] Alice is stupid [PERIOD] Alice is elated [PERIOD] Alice is pessimistic [PERIOD]
Rules:
inexpensive [AND] diplomatic [IMPLY] talkative [PERIOD]
blushing [IMPLY] pessimistic [PERIOD]
inexpensive [AND] elated [IMPLY] outrageous [PERIOD]
perfect [IMPLY] pessimistic [PERIOD]
jittery [IMPLY] talkative [PERIOD]
different [AND] gleaming [AND] long [IMPLY] talkative [PERIOD]
attentive [IMPLY] joyous [PERIOD]
talkative [IMPLY] long [PERIOD]
shy [AND] outrageous [AND] charming [IMPLY] hurt [PERIOD]
impartial [AND] hurt [IMPLY] sleepy [PERIOD]
outrageous [AND] wide-eyed [IMPLY] diplomatic [PERIOD]
charming [IMPLY] inexpensive [PERIOD]
hilarious [AND] selfish [IMPLY] impartial [PERIOD]
stormy [AND] attentive [IMPLY] fine [PERIOD]
talkative [AND] gleaming [AND] joyous [IMPLY] inexpensive [PERIOD]
stupid [AND] wide-eyed [IMPLY] charming [PERIOD]
joyous [IMPLY] stormy [PERIOD]
fine [AND] inexpensive [IMPLY] talkative [PERIOD]
fine [AND] blushing [AND] different [IMPLY] joyous [PERIOD]
blushing [AND] hurt [AND] outrageous [IMPLY] hilarious [PERIOD]
long [AND] outrageous [AND] elated [IMPLY] shy [PERIOD]
jittery [AND] charming [IMPLY] joyous [PERIOD]
charming [AND] gleaming [AND] blushing [IMPLY] selfish [PERIOD]
talkative [IMPLY] blushing [PERIOD]
stormy [AND] pessimistic [IMPLY] charming [PERIOD]
stupid [AND] shy [AND] outrageous [IMPLY] long [PERIOD]
hurt [AND] shy [IMPLY] zealous [PERIOD]
stupid [AND] fine [AND] wide-eyed [IMPLY] different [PERIOD]
zealous [AND] gleaming [IMPLY] elated [PERIOD]
perfect [AND] inexpensive [IMPLY] jittery [PERIOD]
gleaming [AND] blushing [IMPLY] impartial [PERIOD]
different [AND] diplomatic [AND] impartial [IMPLY] charming [PERIOD]
stupid [AND] fine [AND] joyous [IMPLY] charming [PERIOD]
stormy [IMPLY] wide-eyed [PERIOD]
pessimistic [AND] blushing [IMPLY] zealous [PERIOD]
pessimistic [AND] joyous [IMPLY] attentive [PERIOD]
attentive [AND] outrageous [AND] diplomatic [IMPLY] shy [PERIOD]
impartial [AND] gleaming [IMPLY] attentive [PERIOD]
charming [AND] long [IMPLY] wide-eyed [PERIOD]
impartial [IMPLY] blushing [PERIOD]
elated [AND] shy [IMPLY] outrageous [PERIOD]
pessimistic [IMPLY] different [PERIOD]
pessimistic [IMPLY] impartial [PERIOD]
shy [AND] talkative [IMPLY] wide-eyed [PERIOD]
joyous [AND] stupid [IMPLY] elated [PERIOD]
wide-eyed [AND] diplomatic [AND] pessimistic [IMPLY] joyous [PERIOD]
gleaming [IMPLY] elated [PERIOD]
zealous [IMPLY] outrageous [PERIOD]
hurt [IMPLY] joyous [PERIOD]
zealous [AND] stupid [AND] talkative [IMPLY] different [PERIOD]
outrageous [AND] perfect [AND] elated [IMPLY] zealous [PERIOD]
shy [AND] selfish [AND] elated [IMPLY] sleepy [PERIOD]
pessimistic [IMPLY] talkative [PERIOD]
stormy [IMPLY] jittery [PERIOD]
different [AND] wide-eyed [AND] blushing [IMPLY] pessimistic [PERIOD]
gleaming [AND] long [IMPLY] selfish [PERIOD]
attentive [AND] stormy [AND] shy [IMPLY] stupid [PERIOD]
gleaming [AND] diplomatic [AND] different [IMPLY] fine [PERIOD]
impartial [IMPLY] selfish [PERIOD]
hurt [AND] shy [AND] blushing [IMPLY] fine [PERIOD]
sleepy [AND] jittery [IMPLY] selfish [PERIOD]
charming [AND] pessimistic [IMPLY] attentive [PERIOD]
zealous [AND] pessimistic [AND] selfish [IMPLY] gleaming [PERIOD]
pessimistic [AND] gleaming [IMPLY] stupid [PERIOD]
inexpensive [AND] hurt [IMPLY] outrageous [PERIOD]
wide-eyed [AND] perfect [IMPLY] zealous [PERIOD]
talkative [AND] charming [AND] long [IMPLY] sleepy [PERIOD]
talkative [AND] outrageous [IMPLY] joyous [PERIOD]
jittery [AND] different [IMPLY] sleepy [PERIOD]
outrageous [AND] sleepy [AND] stupid [IMPLY] talkative [PERIOD]
stormy [IMPLY] zealous [PERIOD]
charming [IMPLY] hilarious [PERIOD]
different [AND] elated [IMPLY] jittery [PERIOD]
wide-eyed [AND] inexpensive [IMPLY] joyous [PERIOD]
jittery [AND] stupid [AND] charming [IMPLY] joyous [PERIOD]
attentive [AND] selfish [IMPLY] elated [PERIOD]
selfish [AND] stupid [AND] jittery [IMPLY] long [PERIOD]
zealous [AND] pessimistic [IMPLY] wide-eyed [PERIOD]
diplomatic [AND] charming [IMPLY] selfish [PERIOD]
perfect [AND] attentive [AND] stormy [IMPLY] impartial [PERIOD]
hurt [IMPLY] talkative [PERIOD]
fine [AND] elated [AND] gleaming [IMPLY] perfect [PERIOD]
outrageous [AND] elated [AND] stupid [IMPLY] stormy [PERIOD]
zealous [IMPLY] long [PERIOD]
inexpensive [AND] talkative [IMPLY] long [PERIOD]
hilarious [AND] pessimistic [AND] inexpensive [IMPLY] charming [PERIOD]
inexpensive [IMPLY] perfect [PERIOD]
inexpensive [AND] sleepy [IMPLY] different [PERIOD]
perfect [IMPLY] long [PERIOD]
shy [AND] hilarious [IMPLY] stupid [PERIOD]
blushing [IMPLY] shy [PERIOD]
gleaming [IMPLY] stupid [PERIOD]
blushing [IMPLY] impartial [PERIOD]
outrageous [AND] hurt [IMPLY] charming [PERIOD]
sleepy [AND] attentive [IMPLY] different [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is easy [PERIOD] Alice is foolish [PERIOD] Alice is average [PERIOD] Alice is embarrassed [PERIOD] Alice is clean [PERIOD] Alice is stormy [PERIOD] Alice is excited [PERIOD] Alice is crowded [PERIOD] Alice is stupid [PERIOD] Alice is scared [PERIOD] Alice is mean [PERIOD]
Rules:
cooperative [IMPLY] jittery [PERIOD]
foolish [IMPLY] witty [PERIOD]
popular [IMPLY] embarrassed [PERIOD]
frantic [AND] jittery [AND] stormy [IMPLY] mean [PERIOD]
fearless [AND] witty [AND] cooperative [IMPLY] embarrassed [PERIOD]
clean [AND] exuberant [AND] jittery [IMPLY] excited [PERIOD]
easy [AND] stormy [AND] scared [IMPLY] average [PERIOD]
average [IMPLY] frantic [PERIOD]
cooperative [AND] stormy [IMPLY] clean [PERIOD]
jittery [AND] stormy [IMPLY] cooperative [PERIOD]
popular [AND] average [AND] fearless [IMPLY] embarrassed [PERIOD]
mean [AND] easy [AND] average [IMPLY] stormy [PERIOD]
easy [AND] average [AND] witty [IMPLY] scared [PERIOD]
scared [AND] exuberant [IMPLY] excited [PERIOD]
fearless [AND] easy [AND] embarrassed [IMPLY] stormy [PERIOD]
foolish [IMPLY] crowded [PERIOD]
embarrassed [IMPLY] foolish [PERIOD]
cooperative [AND] jittery [AND] frantic [IMPLY] embarrassed [PERIOD]
mean [AND] popular [IMPLY] crowded [PERIOD]
easy [IMPLY] exuberant [PERIOD]
witty [AND] stormy [IMPLY] foolish [PERIOD]
witty [IMPLY] stupid [PERIOD]
foolish [IMPLY] exuberant [PERIOD]
frantic [AND] embarrassed [IMPLY] mean [PERIOD]
cooperative [AND] excited [IMPLY] stormy [PERIOD]
fearless [IMPLY] witty [PERIOD]
mean [AND] cooperative [IMPLY] popular [PERIOD]
popular [AND] stormy [AND] crowded [IMPLY] stupid [PERIOD]
embarrassed [AND] stormy [AND] scared [IMPLY] cooperative [PERIOD]
foolish [AND] scared [IMPLY] stupid [PERIOD]
cooperative [IMPLY] excited [PERIOD]
mean [IMPLY] excited [PERIOD]
scared [AND] exuberant [IMPLY] embarrassed [PERIOD]
mean [IMPLY] average [PERIOD]
exuberant [AND] foolish [AND] jittery [IMPLY] average [PERIOD]
excited [AND] frantic [IMPLY] easy [PERIOD]
stupid [AND] fearless [IMPLY] mean [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is fearless [PERIOD]
Rules:
confused [IMPLY] lonely [PERIOD]
fearless [IMPLY] impatient [PERIOD]
crowded [AND] busy [IMPLY] confused [PERIOD]
confused [AND] versatile [AND] curious [IMPLY] fearless [PERIOD]
spotless [AND] serious [IMPLY] lonely [PERIOD]
fearless [AND] versatile [AND] agreeable [IMPLY] crowded [PERIOD]
intellectual [AND] calm [AND] busy [IMPLY] pleasant [PERIOD]
intellectual [AND] curious [IMPLY] pleasant [PERIOD]
broad-minded [AND] busy [IMPLY] pleasant [PERIOD]
spotless [AND] broad-minded [AND] distinct [IMPLY] thoughtless [PERIOD]
distinct [AND] serious [IMPLY] pleasant [PERIOD]
serious [IMPLY] friendly [PERIOD]
fearless [IMPLY] powerful [PERIOD]
curious [IMPLY] impatient [PERIOD]
fearless [AND] intellectual [IMPLY] serious [PERIOD]
calm [IMPLY] powerful [PERIOD]
spotless [IMPLY] versatile [PERIOD]
confused [AND] lonely [IMPLY] busy [PERIOD]
serious [IMPLY] confident [PERIOD]
fearless [AND] lonely [AND] serious [IMPLY] versatile [PERIOD]
gifted [AND] spotless [IMPLY] thoughtless [PERIOD]
versatile [IMPLY] crowded [PERIOD]
thoughtless [IMPLY] fearless [PERIOD]
pleasant [IMPLY] serious [PERIOD]
confident [AND] agreeable [AND] bright [IMPLY] pleasant [PERIOD]
calm [AND] lonely [IMPLY] confident [PERIOD]
bright [IMPLY] calm [PERIOD]
distinct [AND] intellectual [IMPLY] fearless [PERIOD]
calm [AND] friendly [AND] pleasant [IMPLY] gifted [PERIOD]
curious [AND] versatile [AND] pleasant [IMPLY] intellectual [PERIOD]
impatient [AND] spotless [IMPLY] confused [PERIOD]
powerful [AND] intellectual [AND] calm [IMPLY] confused [PERIOD]
agreeable [AND] impatient [AND] gifted [IMPLY] confused [PERIOD]
crowded [AND] broad-minded [IMPLY] friendly [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   Cannot apply rule “crowded ∧ busy ⇒ confused” because missing: crowded, busy.
   fearless ⇒ impatient
   Cannot apply rule “impatient ∧ spotless ⇒ confused” because missing: spotless.
   fearless ⇒ powerful
   Cannot apply rule “powerful ∧ intellectual ∧ calm ⇒ confused” because missing: intellectual, calm.
   fearless ⇒ impatient
   Cannot apply rule “agreeable ∧ impatient ∧ gifted ⇒ confused” because missing: agreeable, gifted.
",0,7
"Facts:  Alice is helpless [PERIOD]
Rules:
anxious [AND] helpless [IMPLY] amused [PERIOD]
stubborn [AND] bossy [AND] supportive [IMPLY] jittery [PERIOD]
amused [AND] jittery [AND] supportive [IMPLY] stubborn [PERIOD]
helpless [IMPLY] bossy [PERIOD]
bossy [IMPLY] amused [PERIOD]
anxious [IMPLY] sensible [PERIOD]
anxious [AND] supportive [AND] helpless [IMPLY] jittery [PERIOD]
amused [IMPLY] anxious [PERIOD]
bossy [IMPLY] scared [PERIOD]
helpless [AND] weary [IMPLY] jittery [PERIOD]
weary [AND] helpless [AND] stubborn [IMPLY] jittery [PERIOD]
stubborn [AND] scared [AND] helpless [IMPLY] sensible [PERIOD]
scared [AND] bossy [IMPLY] weary [PERIOD]
scared [IMPLY] stupid [PERIOD]
sensible [AND] jittery [IMPLY] weary [PERIOD]
jittery [AND] supportive [IMPLY] amused [PERIOD]
supportive [IMPLY] jittery [PERIOD]
helpless [AND] anxious [AND] stupid [IMPLY] jittery [PERIOD]
stubborn [IMPLY] helpless [PERIOD]
jittery [IMPLY] supportive [PERIOD]
supportive [AND] jittery [AND] helpless [IMPLY] bossy [PERIOD]
amused [AND] anxious [IMPLY] weary [PERIOD]
bossy [AND] weary [AND] jittery [IMPLY] sensible [PERIOD]
scared [AND] weary [IMPLY] amused [PERIOD]
amused [AND] anxious [IMPLY] supportive [PERIOD]
scared [AND] amused [AND] supportive [IMPLY] anxious [PERIOD]
amused [IMPLY] bossy [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   helpless ⇒ bossy
   bossy ⇒ amused
   helpless ⇒ bossy
   bossy ⇒ amused
   amused ⇒ anxious
   amused ∧ anxious ⇒ supportive
",1,6
"Facts:  Alice is combative [PERIOD] Alice is scared [PERIOD] Alice is talkative [PERIOD] Alice is nervous [PERIOD] Alice is tame [PERIOD] Alice is dull [PERIOD] Alice is jittery [PERIOD] Alice is grumpy [PERIOD] Alice is quaint [PERIOD] Alice is frightened [PERIOD] Alice is friendly [PERIOD] Alice is busy [PERIOD] Alice is frantic [PERIOD] Alice is polite [PERIOD]
Rules:
stubborn [AND] frightened [AND] friendly [IMPLY] famous [PERIOD]
pessimistic [IMPLY] jittery [PERIOD]
scared [AND] grumpy [IMPLY] frightened [PERIOD]
dull [AND] grumpy [AND] plain [IMPLY] thoughtless [PERIOD]
different [AND] tame [AND] thoughtless [IMPLY] plain [PERIOD]
dull [AND] scared [AND] nervous [IMPLY] different [PERIOD]
quaint [AND] frantic [IMPLY] nervous [PERIOD]
tame [AND] tender [AND] busy [IMPLY] polite [PERIOD]
friendly [AND] jittery [IMPLY] plain [PERIOD]
tame [AND] dull [IMPLY] frantic [PERIOD]
dull [IMPLY] friendly [PERIOD]
jittery [IMPLY] frightened [PERIOD]
friendly [AND] scared [AND] quaint [IMPLY] plain [PERIOD]
friendly [AND] different [AND] talkative [IMPLY] proud [PERIOD]
pessimistic [AND] famous [AND] dull [IMPLY] friendly [PERIOD]
grumpy [IMPLY] thoughtless [PERIOD]
nervous [AND] tame [IMPLY] polite [PERIOD]
grumpy [IMPLY] frightened [PERIOD]
jittery [AND] combative [IMPLY] thoughtless [PERIOD]
dull [AND] different [IMPLY] jittery [PERIOD]
plain [IMPLY] frightened [PERIOD]
grumpy [AND] famous [IMPLY] talkative [PERIOD]
quaint [AND] stubborn [AND] combative [IMPLY] busy [PERIOD]
proud [AND] jittery [IMPLY] thoughtless [PERIOD]
friendly [AND] talkative [IMPLY] grumpy [PERIOD]
thoughtless [AND] nervous [AND] plain [IMPLY] proud [PERIOD]
polite [IMPLY] friendly [PERIOD]
combative [AND] quaint [IMPLY] polite [PERIOD]
pessimistic [AND] plain [AND] proud [IMPLY] different [PERIOD]
plain [AND] tame [AND] dull [IMPLY] frantic [PERIOD]
pessimistic [IMPLY] frightened [PERIOD]
stubborn [IMPLY] thoughtless [PERIOD]
busy [AND] dull [AND] scared [IMPLY] polite [PERIOD]
jittery [AND] scared [AND] plain [IMPLY] thoughtless [PERIOD]
jittery [AND] scared [IMPLY] tame [PERIOD]
combative [IMPLY] thoughtless [PERIOD]
scared [IMPLY] nervous [PERIOD]
dull [AND] talkative [AND] nervous [IMPLY] busy [PERIOD]
grumpy [IMPLY] famous [PERIOD]
nervous [AND] tender [IMPLY] scared [PERIOD]
stubborn [IMPLY] famous [PERIOD]
scared [AND] tame [IMPLY] talkative [PERIOD]
friendly [IMPLY] tame [PERIOD]
plain [IMPLY] famous [PERIOD]
thoughtless [AND] plain [IMPLY] grumpy [PERIOD]
proud [AND] busy [IMPLY] tender [PERIOD]
plain [AND] combative [IMPLY] tame [PERIOD]
polite [AND] frightened [AND] talkative [IMPLY] different [PERIOD]
talkative [AND] grumpy [IMPLY] friendly [PERIOD]
frightened [AND] famous [IMPLY] jittery [PERIOD]
thoughtless [AND] friendly [IMPLY] plain [PERIOD]
thoughtless [AND] quaint [IMPLY] famous [PERIOD]
pessimistic [IMPLY] proud [PERIOD]
talkative [IMPLY] grumpy [PERIOD]
talkative [AND] thoughtless [AND] different [IMPLY] combative [PERIOD]
scared [AND] busy [IMPLY] grumpy [PERIOD]
different [AND] combative [IMPLY] dull [PERIOD]
nervous [IMPLY] friendly [PERIOD]
stubborn [IMPLY] pessimistic [PERIOD]
plain [IMPLY] stubborn [PERIOD]
frightened [AND] stubborn [AND] proud [IMPLY] different [PERIOD]
talkative [AND] thoughtless [IMPLY] friendly [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   dull ∧ scared ∧ nervous ⇒ different
   friendly ∧ different ∧ talkative ⇒ proud
   proud ∧ busy ⇒ tender
",1,3
"Facts: 
Rules:
thoughtless [AND] worried [IMPLY] cute [PERIOD]
fragile [AND] thoughtless [AND] cute [IMPLY] worried [PERIOD]
worried [AND] shy [AND] fragile [IMPLY] cute [PERIOD]
fragile [AND] pleasant [AND] thoughtless [IMPLY] cute [PERIOD]
mysterious [AND] thoughtless [IMPLY] fragile [PERIOD]
gleaming [AND] shy [IMPLY] cute [PERIOD]
cute [AND] gleaming [AND] mysterious [IMPLY] thoughtless [PERIOD]
pleasant [IMPLY] gleaming [PERIOD]
thoughtless [IMPLY] mysterious [PERIOD]
pleasant [AND] fragile [IMPLY] gleaming [PERIOD]
pleasant [IMPLY] cute [PERIOD]
cute [IMPLY] thoughtless [PERIOD]
shy [AND] pleasant [AND] impatient [IMPLY] fragile [PERIOD]
worried [AND] gleaming [AND] mysterious [IMPLY] pleasant [PERIOD]
mysterious [AND] thoughtless [IMPLY] pleasant [PERIOD]
gleaming [IMPLY] mysterious [PERIOD]
impatient [IMPLY] fragile [PERIOD]
pleasant [IMPLY] shy [PERIOD]
impatient [IMPLY] gleaming [PERIOD]
mysterious [AND] cute [AND] worried [IMPLY] thoughtless [PERIOD]
impatient [AND] shy [IMPLY] mysterious [PERIOD]
gleaming [AND] thoughtless [AND] fragile [IMPLY] shy [PERIOD]
thoughtless [AND] mysterious [AND] shy [IMPLY] gleaming [PERIOD]
thoughtless [AND] impatient [IMPLY] worried [PERIOD]
cute [AND] worried [AND] fragile [IMPLY] pleasant [PERIOD]
fragile [AND] shy [IMPLY] gleaming [PERIOD]
mysterious [IMPLY] gleaming [PERIOD]
shy [IMPLY] thoughtless [PERIOD]
worried [AND] thoughtless [AND] fragile [IMPLY] impatient [PERIOD]
worried [AND] mysterious [AND] fragile [IMPLY] pleasant [PERIOD]
worried [IMPLY] pleasant [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   Cannot apply rule “worried ∧ gleaming ∧ mysterious ⇒ pleasant” because missing: worried, gleaming, mysterious.
   Cannot apply rule “mysterious ∧ thoughtless ⇒ pleasant” because missing: mysterious, thoughtless.
   Cannot apply rule “cute ∧ worried ∧ fragile ⇒ pleasant” because missing: cute, worried, fragile.
   Cannot apply rule “worried ∧ mysterious ∧ fragile ⇒ pleasant” because missing: worried, mysterious, fragile.
   Cannot apply rule “worried ⇒ pleasant” because missing: worried.
",0,5
"Facts:  Alice is famous [PERIOD] Alice is serious [PERIOD]
Rules:
crowded [AND] famous [AND] powerful [IMPLY] serious [PERIOD]
powerful [AND] rational [AND] outrageous [IMPLY] bored [PERIOD]
bored [AND] powerful [IMPLY] famous [PERIOD]
outrageous [AND] powerful [IMPLY] cute [PERIOD]
outrageous [AND] famous [IMPLY] rational [PERIOD]
famous [AND] cute [AND] serious [IMPLY] versatile [PERIOD]
outrageous [IMPLY] serious [PERIOD]
rational [IMPLY] serious [PERIOD]
precious [AND] bored [AND] powerful [IMPLY] cute [PERIOD]
powerful [AND] versatile [AND] outrageous [IMPLY] gleaming [PERIOD]
rational [AND] versatile [AND] famous [IMPLY] crowded [PERIOD]
versatile [AND] bored [IMPLY] outrageous [PERIOD]
famous [AND] bored [AND] crowded [IMPLY] precious [PERIOD]
famous [AND] bored [AND] crowded [IMPLY] gleaming [PERIOD]
crowded [AND] bored [IMPLY] serious [PERIOD]
versatile [IMPLY] crowded [PERIOD]
cute [AND] famous [IMPLY] crowded [PERIOD]
cute [AND] outrageous [IMPLY] famous [PERIOD]
crowded [AND] precious [AND] versatile [IMPLY] gleaming [PERIOD]
cute [IMPLY] bored [PERIOD]
famous [AND] versatile [IMPLY] cute [PERIOD]
precious [IMPLY] famous [PERIOD]
cute [AND] precious [IMPLY] outrageous [PERIOD]
bored [IMPLY] famous [PERIOD]
crowded [IMPLY] famous [PERIOD]
versatile [AND] precious [AND] powerful [IMPLY] cute [PERIOD]
gleaming [AND] famous [AND] bored [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] rational [PERIOD]
famous [AND] precious [IMPLY] crowded [PERIOD]
crowded [IMPLY] cute [PERIOD]
precious [AND] powerful [IMPLY] rational [PERIOD]
outrageous [AND] gleaming [IMPLY] versatile [PERIOD]
gleaming [IMPLY] crowded [PERIOD]
bored [AND] precious [IMPLY] versatile [PERIOD]
cute [AND] powerful [IMPLY] outrageous [PERIOD]
rational [IMPLY] powerful [PERIOD]
versatile [AND] precious [IMPLY] powerful [PERIOD]
powerful [IMPLY] crowded [PERIOD]
gleaming [AND] rational [AND] crowded [IMPLY] versatile [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   Cannot apply rule “outrageous ∧ powerful ⇒ cute” because missing: outrageous, powerful.
   Cannot apply rule “precious ∧ bored ∧ powerful ⇒ cute” because missing: precious, bored, powerful.
   Cannot apply rule “famous ∧ versatile ⇒ cute” because missing: versatile.
   Cannot apply rule “versatile ∧ precious ∧ powerful ⇒ cute” because missing: versatile, precious, powerful.
   Cannot apply rule “crowded ⇒ cute” because missing: crowded.
",0,5
"Facts: 
Rules:
attractive [AND] precious [IMPLY] cooperative [PERIOD]
impatient [IMPLY] cooperative [PERIOD]
confused [IMPLY] glamorous [PERIOD]
difficult [AND] attractive [IMPLY] glamorous [PERIOD]
diplomatic [IMPLY] cooperative [PERIOD]
elated [AND] cooperative [IMPLY] attractive [PERIOD]
frantic [AND] cooperative [IMPLY] glamorous [PERIOD]
condemned [AND] cooperative [AND] difficult [IMPLY] attractive [PERIOD]
diplomatic [IMPLY] frantic [PERIOD]
impatient [IMPLY] precious [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   Cannot apply rule “elated ∧ cooperative ⇒ attractive” because missing: elated, cooperative.
   Cannot apply rule “condemned ∧ cooperative ∧ difficult ⇒ attractive” because missing: condemned, cooperative, difficult.
",0,2
"Facts:  Alice is wrong [PERIOD] Alice is hypocritical [PERIOD] Alice is average [PERIOD] Alice is shy [PERIOD] Alice is calm [PERIOD] Alice is fragile [PERIOD] Alice is wide-eyed [PERIOD]
Rules:
thoughtless [IMPLY] wandering [PERIOD]
wrong [AND] wandering [IMPLY] lonely [PERIOD]
shy [IMPLY] wide-eyed [PERIOD]
calm [IMPLY] blushing [PERIOD]
long [IMPLY] fragile [PERIOD]
fearless [AND] ambitious [IMPLY] frantic [PERIOD]
wide-eyed [IMPLY] wrong [PERIOD]
talkative [IMPLY] difficult [PERIOD]
lonely [AND] frantic [AND] shy [IMPLY] blushing [PERIOD]
ambitious [AND] thoughtless [IMPLY] wrong [PERIOD]
alert [IMPLY] frantic [PERIOD]
frantic [AND] lonely [IMPLY] ambitious [PERIOD]
wandering [AND] shy [AND] difficult [IMPLY] blushing [PERIOD]
wandering [AND] calm [AND] lonely [IMPLY] alert [PERIOD]
alert [AND] hypocritical [AND] long [IMPLY] difficult [PERIOD]
ambitious [AND] difficult [AND] thoughtless [IMPLY] wide-eyed [PERIOD]
fearless [AND] difficult [AND] thoughtless [IMPLY] nervous [PERIOD]
blushing [AND] wide-eyed [IMPLY] lonely [PERIOD]
fine [AND] average [IMPLY] ambitious [PERIOD]
alert [AND] ambitious [IMPLY] shy [PERIOD]
alert [AND] stupid [AND] fragile [IMPLY] frantic [PERIOD]
shy [AND] blushing [IMPLY] wide-eyed [PERIOD]
alert [AND] difficult [AND] wrong [IMPLY] worrisome [PERIOD]
fearless [AND] bad-tempered [AND] wandering [IMPLY] thoughtless [PERIOD]
worrisome [AND] calm [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] fearless [PERIOD]
hypocritical [AND] fearless [AND] talkative [IMPLY] average [PERIOD]
wide-eyed [IMPLY] wandering [PERIOD]
thoughtless [IMPLY] calm [PERIOD]
long [AND] bad-tempered [IMPLY] wrong [PERIOD]
lonely [AND] thoughtless [AND] worrisome [IMPLY] average [PERIOD]
hypocritical [IMPLY] nervous [PERIOD]
long [AND] bad-tempered [IMPLY] blushing [PERIOD]
fine [IMPLY] ambitious [PERIOD]
fragile [AND] ambitious [IMPLY] bad-tempered [PERIOD]
ambitious [IMPLY] alert [PERIOD]
worrisome [IMPLY] shy [PERIOD]
thoughtless [IMPLY] frantic [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   wide-eyed ⇒ wandering
   calm ⇒ blushing
   blushing ∧ wide-eyed ⇒ lonely
   wandering ∧ calm ∧ lonely ⇒ alert
   alert ⇒ frantic
",1,5
"Facts:  Alice is courageous [PERIOD] Alice is popular [PERIOD] Alice is weary [PERIOD] Alice is frightened [PERIOD] Alice is worried [PERIOD] Alice is versatile [PERIOD] Alice is clumsy [PERIOD] Alice is naughty [PERIOD] Alice is frantic [PERIOD] Alice is fine [PERIOD] Alice is thoughtful [PERIOD]
Rules:
worried [AND] clumsy [AND] naughty [IMPLY] fine [PERIOD]
worried [IMPLY] fine [PERIOD]
talented [AND] weary [IMPLY] naughty [PERIOD]
jittery [IMPLY] thoughtful [PERIOD]
thoughtful [AND] cute [IMPLY] rational [PERIOD]
frightened [AND] versatile [IMPLY] worried [PERIOD]
frightened [AND] easy [AND] worried [IMPLY] cute [PERIOD]
clumsy [AND] fine [IMPLY] lucky [PERIOD]
naughty [AND] clumsy [AND] broad-minded [IMPLY] frightened [PERIOD]
old-fashioned [AND] frightened [AND] easy [IMPLY] selfish [PERIOD]
selfish [IMPLY] weary [PERIOD]
naughty [IMPLY] worried [PERIOD]
worried [AND] old-fashioned [IMPLY] courageous [PERIOD]
weary [AND] frantic [AND] lucky [IMPLY] fine [PERIOD]
easy [AND] talented [AND] worried [IMPLY] popular [PERIOD]
talented [AND] fine [AND] weary [IMPLY] worried [PERIOD]
talented [AND] selfish [IMPLY] popular [PERIOD]
versatile [AND] worried [IMPLY] frightened [PERIOD]
clumsy [AND] popular [IMPLY] selfish [PERIOD]
clumsy [AND] worried [IMPLY] selfish [PERIOD]
clumsy [IMPLY] versatile [PERIOD]
worried [AND] thoughtful [IMPLY] frightened [PERIOD]
worried [AND] thoughtful [AND] naughty [IMPLY] clumsy [PERIOD]
worried [IMPLY] selfish [PERIOD]
fine [IMPLY] broad-minded [PERIOD]
rational [AND] worried [AND] naughty [IMPLY] broad-minded [PERIOD]
fine [AND] popular [IMPLY] worried [PERIOD]
versatile [AND] popular [AND] frantic [IMPLY] talented [PERIOD]
naughty [AND] selfish [IMPLY] clumsy [PERIOD]
talented [IMPLY] courageous [PERIOD]
courageous [AND] naughty [IMPLY] easy [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is old-fashioned [PERIOD] Alice is sleepy [PERIOD] Alice is glamorous [PERIOD] Alice is curious [PERIOD]
Rules:
innocent [IMPLY] frightened [PERIOD]
elegant [AND] long [AND] homely [IMPLY] outstanding [PERIOD]
homely [AND] sleepy [IMPLY] long [PERIOD]
stubborn [IMPLY] diplomatic [PERIOD]
outrageous [AND] sensible [AND] diplomatic [IMPLY] long [PERIOD]
broad-minded [AND] outrageous [AND] frightened [IMPLY] elegant [PERIOD]
fine [AND] glamorous [IMPLY] long [PERIOD]
curious [IMPLY] cute [PERIOD]
innocent [AND] fine [AND] diplomatic [IMPLY] sleepy [PERIOD]
sensible [AND] outrageous [IMPLY] fine [PERIOD]
sensible [IMPLY] fine [PERIOD]
innocent [IMPLY] sleepy [PERIOD]
outrageous [AND] sensible [IMPLY] homely [PERIOD]
outstanding [AND] sensible [AND] outrageous [IMPLY] sleepy [PERIOD]
sleepy [AND] proud [IMPLY] fine [PERIOD]
long [IMPLY] stubborn [PERIOD]
sensible [AND] glamorous [IMPLY] elegant [PERIOD]
stubborn [AND] curious [AND] sleepy [IMPLY] proud [PERIOD]
outrageous [AND] fine [AND] elegant [IMPLY] homely [PERIOD]
curious [AND] proud [IMPLY] elegant [PERIOD]
homely [AND] proud [AND] elegant [IMPLY] outrageous [PERIOD]
proud [IMPLY] diplomatic [PERIOD]
proud [AND] diplomatic [AND] broad-minded [IMPLY] fine [PERIOD]
sleepy [AND] glamorous [AND] proud [IMPLY] stubborn [PERIOD]
frightened [AND] diplomatic [IMPLY] broad-minded [PERIOD]
stubborn [IMPLY] broad-minded [PERIOD]
curious [IMPLY] elegant [PERIOD]
proud [AND] outstanding [IMPLY] innocent [PERIOD]
elegant [IMPLY] broad-minded [PERIOD]
glamorous [IMPLY] curious [PERIOD]
sleepy [AND] fine [AND] cute [IMPLY] long [PERIOD]
diplomatic [AND] outstanding [IMPLY] innocent [PERIOD]
innocent [AND] homely [AND] outrageous [IMPLY] curious [PERIOD]
fine [IMPLY] diplomatic [PERIOD]
old-fashioned [IMPLY] glamorous [PERIOD]
fine [AND] long [AND] glamorous [IMPLY] stubborn [PERIOD]
homely [AND] curious [AND] long [IMPLY] glamorous [PERIOD]
proud [AND] sleepy [AND] homely [IMPLY] outrageous [PERIOD]
sensible [AND] curious [IMPLY] stubborn [PERIOD]
sensible [AND] glamorous [IMPLY] sleepy [PERIOD]
broad-minded [AND] homely [AND] proud [IMPLY] curious [PERIOD]
outstanding [IMPLY] elegant [PERIOD]
curious [IMPLY] long [PERIOD]
broad-minded [AND] long [IMPLY] old-fashioned [PERIOD]
glamorous [AND] stubborn [IMPLY] fine [PERIOD]
elegant [AND] innocent [AND] sleepy [IMPLY] curious [PERIOD]
cute [IMPLY] glamorous [PERIOD]
stubborn [IMPLY] fine [PERIOD]
elegant [AND] proud [AND] homely [IMPLY] curious [PERIOD]
glamorous [AND] sleepy [IMPLY] cute [PERIOD]
frightened [AND] proud [AND] outrageous [IMPLY] long [PERIOD]
long [IMPLY] outrageous [PERIOD]
frightened [AND] elegant [IMPLY] fine [PERIOD]
outstanding [AND] glamorous [IMPLY] broad-minded [PERIOD]
curious [AND] outstanding [IMPLY] sensible [PERIOD]
long [AND] proud [AND] cute [IMPLY] old-fashioned [PERIOD]
fine [IMPLY] elegant [PERIOD]
stubborn [IMPLY] glamorous [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   curious ⇒ long
   long ⇒ outrageous
   curious ⇒ long
   long ⇒ stubborn
   glamorous ∧ stubborn ⇒ fine
   curious ⇒ elegant
   outrageous ∧ fine ∧ elegant ⇒ homely
",1,7
"Facts:  Alice is clumsy [PERIOD] Alice is frantic [PERIOD] Alice is condemned [PERIOD] Alice is talkative [PERIOD] Alice is bossy [PERIOD] Alice is charming [PERIOD] Alice is thoughtful [PERIOD] Alice is confused [PERIOD] Alice is perfect [PERIOD] Alice is frightened [PERIOD] Alice is gorgeous [PERIOD] Alice is blushing [PERIOD] Alice is mean [PERIOD] Alice is adorable [PERIOD] Alice is mysterious [PERIOD] Alice is clean [PERIOD]
Rules:
uptight [AND] good [AND] mysterious [IMPLY] confused [PERIOD]
fearless [IMPLY] clumsy [PERIOD]
adorable [AND] different [IMPLY] good [PERIOD]
mean [AND] sleepy [AND] different [IMPLY] uptight [PERIOD]
sleepy [IMPLY] clumsy [PERIOD]
clumsy [AND] mysterious [IMPLY] good [PERIOD]
charming [AND] embarrassed [AND] gorgeous [IMPLY] stupid [PERIOD]
frightened [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] thoughtful [PERIOD]
different [AND] clumsy [AND] attractive [IMPLY] blushing [PERIOD]
stupid [AND] attractive [IMPLY] condemned [PERIOD]
thoughtful [IMPLY] embarrassed [PERIOD]
clean [IMPLY] condemned [PERIOD]
fragile [AND] blushing [IMPLY] fearless [PERIOD]
charming [AND] uptight [IMPLY] mysterious [PERIOD]
frantic [IMPLY] embarrassed [PERIOD]
fragile [AND] condemned [IMPLY] gorgeous [PERIOD]
mean [IMPLY] clean [PERIOD]
gorgeous [AND] embarrassed [IMPLY] frightened [PERIOD]
mysterious [AND] different [AND] mean [IMPLY] gorgeous [PERIOD]
uptight [AND] gorgeous [IMPLY] talkative [PERIOD]
gorgeous [AND] adorable [IMPLY] clean [PERIOD]
clean [AND] uptight [AND] attractive [IMPLY] adorable [PERIOD]
blushing [AND] frightened [IMPLY] good [PERIOD]
clumsy [AND] perfect [AND] condemned [IMPLY] mysterious [PERIOD]
mean [AND] blushing [IMPLY] fearless [PERIOD]
mysterious [AND] blushing [IMPLY] talkative [PERIOD]
frightened [AND] frantic [IMPLY] thoughtful [PERIOD]
mysterious [IMPLY] bossy [PERIOD]
thoughtful [AND] gorgeous [AND] different [IMPLY] charming [PERIOD]
charming [IMPLY] attractive [PERIOD]
stupid [IMPLY] condemned [PERIOD]
perfect [AND] different [IMPLY] condemned [PERIOD]
gorgeous [AND] embarrassed [IMPLY] mean [PERIOD]
bossy [AND] sleepy [AND] frantic [IMPLY] perfect [PERIOD]
embarrassed [IMPLY] gorgeous [PERIOD]
fearless [AND] embarrassed [IMPLY] perfect [PERIOD]
confused [IMPLY] thoughtful [PERIOD]
embarrassed [AND] blushing [AND] gorgeous [IMPLY] adorable [PERIOD]
attractive [AND] embarrassed [IMPLY] gorgeous [PERIOD]
frantic [AND] mean [IMPLY] good [PERIOD]
uptight [IMPLY] fragile [PERIOD]
bossy [AND] uptight [IMPLY] clumsy [PERIOD]
perfect [AND] embarrassed [AND] frightened [IMPLY] good [PERIOD]
blushing [AND] mean [AND] sleepy [IMPLY] frightened [PERIOD]
talkative [IMPLY] clumsy [PERIOD]
confused [AND] clean [IMPLY] gorgeous [PERIOD]
embarrassed [AND] thoughtful [AND] mysterious [IMPLY] charming [PERIOD]
sleepy [IMPLY] different [PERIOD]
uptight [AND] confused [IMPLY] clumsy [PERIOD]
embarrassed [AND] good [IMPLY] uptight [PERIOD]
clumsy [IMPLY] blushing [PERIOD]
embarrassed [AND] stupid [AND] sleepy [IMPLY] frightened [PERIOD]
gorgeous [AND] fragile [IMPLY] confused [PERIOD]
fragile [IMPLY] uptight [PERIOD]
mean [AND] clean [AND] confused [IMPLY] embarrassed [PERIOD]
clumsy [IMPLY] attractive [PERIOD]
clumsy [IMPLY] good [PERIOD]
good [IMPLY] uptight [PERIOD]
gorgeous [AND] mean [AND] bossy [IMPLY] frightened [PERIOD]
fearless [AND] sleepy [AND] mean [IMPLY] mysterious [PERIOD]
clean [AND] good [IMPLY] fearless [PERIOD]
good [AND] attractive [IMPLY] talkative [PERIOD]
frightened [IMPLY] condemned [PERIOD]
bossy [AND] confused [IMPLY] talkative [PERIOD]
mysterious [AND] perfect [AND] fragile [IMPLY] thoughtful [PERIOD]
charming [AND] fragile [AND] uptight [IMPLY] attractive [PERIOD]
embarrassed [AND] frightened [IMPLY] clumsy [PERIOD]
fragile [AND] clumsy [AND] stupid [IMPLY] different [PERIOD]
mean [IMPLY] adorable [PERIOD]
charming [AND] thoughtful [IMPLY] mysterious [PERIOD]
mean [IMPLY] different [PERIOD]
clean [AND] fragile [AND] uptight [IMPLY] clumsy [PERIOD]
fragile [AND] uptight [IMPLY] blushing [PERIOD]
good [IMPLY] frantic [PERIOD]
gorgeous [AND] talkative [IMPLY] different [PERIOD]
mean [IMPLY] bossy [PERIOD]
embarrassed [AND] uptight [AND] different [IMPLY] gorgeous [PERIOD]
perfect [IMPLY] attractive [PERIOD]
mean [AND] adorable [IMPLY] perfect [PERIOD]
confused [IMPLY] attractive [PERIOD]
stupid [IMPLY] confused [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   frantic ⇒ embarrassed
   clumsy ⇒ good
   embarrassed ∧ good ⇒ uptight
   uptight ⇒ fragile
",1,4
"Facts:  Alice is cruel [PERIOD] Alice is dishonest [PERIOD] Alice is sleepy [PERIOD] Alice is attentive [PERIOD] Alice is cooperative [PERIOD] Alice is witty [PERIOD]
Rules:
worried [IMPLY] courageous [PERIOD]
muddy [AND] cooperative [AND] grumpy [IMPLY] reserved [PERIOD]
outrageous [AND] selfish [AND] worried [IMPLY] cruel [PERIOD]
muddy [AND] tender [AND] perfect [IMPLY] dishonest [PERIOD]
mysterious [AND] careless [IMPLY] cruel [PERIOD]
troubled [IMPLY] mysterious [PERIOD]
bored [AND] troubled [AND] grumpy [IMPLY] outrageous [PERIOD]
wandering [IMPLY] dishonest [PERIOD]
mysterious [IMPLY] witty [PERIOD]
witty [IMPLY] sleepy [PERIOD]
bored [IMPLY] courageous [PERIOD]
versatile [AND] bored [AND] witty [IMPLY] calm [PERIOD]
versatile [IMPLY] reserved [PERIOD]
friendly [AND] tender [AND] courageous [IMPLY] witty [PERIOD]
witty [AND] worried [IMPLY] selfish [PERIOD]
grumpy [IMPLY] versatile [PERIOD]
reserved [AND] wandering [IMPLY] careless [PERIOD]
sleepy [AND] dishonest [IMPLY] cooperative [PERIOD]
selfish [AND] outrageous [AND] cooperative [IMPLY] cruel [PERIOD]
dishonest [AND] friendly [IMPLY] muddy [PERIOD]
dishonest [IMPLY] calm [PERIOD]
perfect [IMPLY] serious [PERIOD]
outrageous [AND] friendly [IMPLY] bored [PERIOD]
bored [AND] friendly [AND] troubled [IMPLY] grumpy [PERIOD]
wandering [AND] selfish [AND] outrageous [IMPLY] sleepy [PERIOD]
courageous [IMPLY] mysterious [PERIOD]
witty [AND] worried [AND] troubled [IMPLY] serious [PERIOD]
serious [AND] perfect [IMPLY] dishonest [PERIOD]
witty [AND] cooperative [IMPLY] serious [PERIOD]
versatile [IMPLY] cruel [PERIOD]
serious [IMPLY] bored [PERIOD]
careless [IMPLY] outrageous [PERIOD]
cruel [AND] versatile [AND] worried [IMPLY] sleepy [PERIOD]
grumpy [IMPLY] selfish [PERIOD]
bored [AND] witty [AND] cooperative [IMPLY] outrageous [PERIOD]
different [IMPLY] grumpy [PERIOD]
different [AND] troubled [IMPLY] versatile [PERIOD]
dishonest [AND] sleepy [AND] friendly [IMPLY] selfish [PERIOD]
worried [AND] troubled [AND] perfect [IMPLY] bored [PERIOD]
cooperative [IMPLY] versatile [PERIOD]
witty [AND] troubled [IMPLY] versatile [PERIOD]
serious [AND] tender [AND] worried [IMPLY] sleepy [PERIOD]
perfect [AND] dishonest [IMPLY] calm [PERIOD]
dishonest [IMPLY] mysterious [PERIOD]
muddy [AND] friendly [AND] cooperative [IMPLY] calm [PERIOD]
perfect [AND] troubled [IMPLY] courageous [PERIOD]
courageous [AND] muddy [AND] dishonest [IMPLY] bored [PERIOD]
friendly [IMPLY] selfish [PERIOD]
different [AND] serious [IMPLY] cruel [PERIOD]
reserved [AND] versatile [AND] mysterious [IMPLY] courageous [PERIOD]
versatile [AND] attentive [IMPLY] friendly [PERIOD]
selfish [AND] tender [AND] versatile [IMPLY] grumpy [PERIOD]
different [AND] careless [IMPLY] friendly [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   witty ∧ cooperative ⇒ serious
   serious ⇒ bored
   bored ⇒ courageous
",1,3
"Facts:  Alice is adorable [PERIOD] Alice is troubled [PERIOD]
Rules:
polite [AND] vivacious [AND] witty [IMPLY] jittery [PERIOD]
troubled [IMPLY] hypocritical [PERIOD]
vivacious [AND] witty [IMPLY] dishonest [PERIOD]
polite [IMPLY] hypocritical [PERIOD]
dishonest [IMPLY] jittery [PERIOD]
troubled [AND] adorable [AND] jittery [IMPLY] vivacious [PERIOD]
vivacious [AND] jittery [AND] hypocritical [IMPLY] dishonest [PERIOD]
adorable [AND] vivacious [AND] jittery [IMPLY] dishonest [PERIOD]
troubled [AND] witty [IMPLY] hypocritical [PERIOD]
witty [AND] troubled [AND] adorable [IMPLY] dishonest [PERIOD]
troubled [AND] dishonest [IMPLY] vivacious [PERIOD]
polite [AND] vivacious [IMPLY] troubled [PERIOD]
vivacious [IMPLY] dishonest [PERIOD]
hypocritical [AND] adorable [IMPLY] jittery [PERIOD]
polite [IMPLY] adorable [PERIOD]
hypocritical [IMPLY] dishonest [PERIOD]
adorable [IMPLY] hypocritical [PERIOD]
jittery [AND] vivacious [IMPLY] dishonest [PERIOD]
vivacious [IMPLY] witty [PERIOD]
polite [AND] dishonest [IMPLY] troubled [PERIOD]
vivacious [AND] witty [AND] troubled [IMPLY] adorable [PERIOD]
polite [IMPLY] jittery [PERIOD]
adorable [AND] polite [AND] vivacious [IMPLY] troubled [PERIOD]
troubled [IMPLY] adorable [PERIOD]
jittery [IMPLY] dishonest [PERIOD]
hypocritical [IMPLY] polite [PERIOD]
hypocritical [AND] vivacious [IMPLY] jittery [PERIOD]
adorable [AND] troubled [AND] witty [IMPLY] polite [PERIOD]
jittery [IMPLY] witty [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   adorable ⇒ hypocritical
   hypocritical ⇒ dishonest
",1,2
"Facts:  Alice is foolish [PERIOD] Alice is clumsy [PERIOD] Alice is smart [PERIOD] Alice is cute [PERIOD] Alice is perfect [PERIOD] Alice is old-fashioned [PERIOD] Alice is long [PERIOD] Alice is frantic [PERIOD] Alice is gleaming [PERIOD] Alice is bored [PERIOD] Alice is ugliest [PERIOD] Alice is attentive [PERIOD] Alice is elated [PERIOD]
Rules:
perfect [AND] light [AND] innocent [IMPLY] crowded [PERIOD]
bored [IMPLY] lucky [PERIOD]
clumsy [IMPLY] bored [PERIOD]
clean [IMPLY] comfortable [PERIOD]
uptight [IMPLY] frantic [PERIOD]
attentive [AND] dishonest [IMPLY] gleaming [PERIOD]
long [IMPLY] helpless [PERIOD]
perfect [IMPLY] light [PERIOD]
crowded [AND] jittery [IMPLY] bored [PERIOD]
old-fashioned [IMPLY] outrageous [PERIOD]
gleaming [AND] smart [IMPLY] attentive [PERIOD]
light [AND] bossy [AND] elated [IMPLY] outrageous [PERIOD]
stormy [IMPLY] cooperative [PERIOD]
innocent [AND] loving [AND] attentive [IMPLY] bossy [PERIOD]
ugliest [AND] old-fashioned [IMPLY] perfect [PERIOD]
long [AND] helpless [AND] innocent [IMPLY] light [PERIOD]
stormy [AND] clean [AND] cooperative [IMPLY] loving [PERIOD]
uptight [IMPLY] light [PERIOD]
perfect [IMPLY] clumsy [PERIOD]
gleaming [AND] foolish [AND] cooperative [IMPLY] innocent [PERIOD]
shy [AND] perfect [AND] attentive [IMPLY] frantic [PERIOD]
crowded [IMPLY] lucky [PERIOD]
cute [IMPLY] jittery [PERIOD]
stormy [AND] bored [IMPLY] bossy [PERIOD]
comfortable [AND] frantic [IMPLY] clumsy [PERIOD]
stormy [AND] cute [IMPLY] innocent [PERIOD]
smart [AND] clumsy [IMPLY] bored [PERIOD]
outrageous [AND] perfect [IMPLY] crowded [PERIOD]
clean [IMPLY] light [PERIOD]
attentive [AND] clean [AND] frantic [IMPLY] uptight [PERIOD]
long [AND] shy [AND] elated [IMPLY] helpless [PERIOD]
cooperative [AND] old-fashioned [IMPLY] perfect [PERIOD]
smart [AND] clumsy [AND] lucky [IMPLY] crowded [PERIOD]
bossy [AND] perfect [IMPLY] stormy [PERIOD]
elated [AND] gleaming [IMPLY] perfect [PERIOD]
clean [IMPLY] gleaming [PERIOD]
long [AND] smart [IMPLY] innocent [PERIOD]
comfortable [IMPLY] gleaming [PERIOD]
lucky [IMPLY] cute [PERIOD]
jittery [AND] attentive [AND] perfect [IMPLY] shy [PERIOD]
cute [IMPLY] shy [PERIOD]
clean [AND] frantic [IMPLY] helpless [PERIOD]
lucky [AND] perfect [AND] shy [IMPLY] foolish [PERIOD]
elated [AND] light [IMPLY] clean [PERIOD]
attentive [AND] bossy [AND] loving [IMPLY] helpless [PERIOD]
innocent [IMPLY] broad-minded [PERIOD]
cute [AND] ugliest [IMPLY] stormy [PERIOD]
ugliest [AND] clean [IMPLY] crowded [PERIOD]
cute [AND] broad-minded [IMPLY] light [PERIOD]
cute [AND] loving [IMPLY] jittery [PERIOD]
light [IMPLY] elated [PERIOD]
innocent [IMPLY] outrageous [PERIOD]
clumsy [IMPLY] attentive [PERIOD]
comfortable [AND] perfect [IMPLY] bored [PERIOD]
frantic [AND] lucky [AND] outrageous [IMPLY] perfect [PERIOD]
innocent [IMPLY] dishonest [PERIOD]
dishonest [AND] frantic [IMPLY] broad-minded [PERIOD]
innocent [IMPLY] gleaming [PERIOD]
smart [IMPLY] crowded [PERIOD]
innocent [IMPLY] clumsy [PERIOD]
stormy [AND] lucky [AND] perfect [IMPLY] jittery [PERIOD]
bored [AND] clean [AND] foolish [IMPLY] cooperative [PERIOD]
long [AND] gleaming [AND] innocent [IMPLY] uptight [PERIOD]
old-fashioned [AND] loving [IMPLY] bossy [PERIOD]
cute [AND] innocent [IMPLY] long [PERIOD]
crowded [AND] loving [AND] frantic [IMPLY] cooperative [PERIOD]
clean [AND] bossy [AND] lucky [IMPLY] clumsy [PERIOD]
frantic [IMPLY] shy [PERIOD]
light [IMPLY] bossy [PERIOD]
loving [AND] jittery [IMPLY] comfortable [PERIOD]
smart [IMPLY] attentive [PERIOD]
gleaming [IMPLY] light [PERIOD]
dishonest [IMPLY] old-fashioned [PERIOD]
bossy [AND] shy [AND] bored [IMPLY] ugliest [PERIOD]
helpless [AND] ugliest [IMPLY] perfect [PERIOD]
helpless [AND] crowded [IMPLY] bored [PERIOD]
crowded [AND] loving [AND] shy [IMPLY] elated [PERIOD]
frantic [IMPLY] gleaming [PERIOD]
perfect [AND] lucky [IMPLY] helpless [PERIOD]
shy [AND] loving [IMPLY] old-fashioned [PERIOD]
attentive [IMPLY] loving [PERIOD]
perfect [IMPLY] cooperative [PERIOD]
gleaming [AND] attentive [AND] clumsy [IMPLY] cooperative [PERIOD]
broad-minded [AND] foolish [AND] dishonest [IMPLY] outrageous [PERIOD]
attentive [IMPLY] jittery [PERIOD]
light [AND] foolish [AND] stormy [IMPLY] cute [PERIOD]
frantic [AND] clumsy [IMPLY] light [PERIOD]
gleaming [IMPLY] stormy [PERIOD]
light [IMPLY] cooperative [PERIOD]
dishonest [AND] gleaming [IMPLY] broad-minded [PERIOD]
old-fashioned [AND] innocent [AND] dishonest [IMPLY] clumsy [PERIOD]
loving [AND] jittery [AND] light [IMPLY] uptight [PERIOD]
cooperative [AND] bossy [IMPLY] crowded [PERIOD]
bored [IMPLY] helpless [PERIOD]
crowded [AND] jittery [IMPLY] long [PERIOD]
broad-minded [AND] outrageous [IMPLY] cooperative [PERIOD]
frantic [AND] perfect [AND] light [IMPLY] stormy [PERIOD]
old-fashioned [AND] elated [AND] clean [IMPLY] innocent [PERIOD]
broad-minded [AND] dishonest [IMPLY] crowded [PERIOD]
uptight [AND] clumsy [IMPLY] innocent [PERIOD]
light [AND] helpless [IMPLY] elated [PERIOD]
foolish [AND] frantic [IMPLY] shy [PERIOD]
helpless [IMPLY] gleaming [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   bored ⇒ helpless
",1,1
"Facts:  Alice is frightened [PERIOD]
Rules:
tame [AND] ugly [AND] mysterious [IMPLY] comfortable [PERIOD]
amused [AND] tame [AND] impatient [IMPLY] friendly [PERIOD]
amused [IMPLY] dull [PERIOD]
ugly [IMPLY] frightened [PERIOD]
inquisitive [AND] confident [AND] nervous [IMPLY] tame [PERIOD]
smart [IMPLY] tame [PERIOD]
nervous [AND] impatient [AND] ugly [IMPLY] amused [PERIOD]
mysterious [IMPLY] worrisome [PERIOD]
thoughtless [AND] confident [AND] nervous [IMPLY] worrisome [PERIOD]
comfortable [AND] inquisitive [AND] confused [IMPLY] dull [PERIOD]
ugly [AND] dull [IMPLY] mysterious [PERIOD]
comfortable [IMPLY] ugly [PERIOD]
thoughtless [AND] mysterious [IMPLY] inquisitive [PERIOD]
nervous [IMPLY] confused [PERIOD]
dull [IMPLY] thoughtless [PERIOD]
mysterious [AND] worrisome [AND] tame [IMPLY] nervous [PERIOD]
comfortable [AND] amused [IMPLY] worrisome [PERIOD]
tame [AND] comfortable [AND] confused [IMPLY] inquisitive [PERIOD]
smart [AND] tame [IMPLY] ugly [PERIOD]
friendly [AND] ugly [IMPLY] tame [PERIOD]
inquisitive [AND] dull [AND] worrisome [IMPLY] thoughtless [PERIOD]
dull [AND] confused [IMPLY] mysterious [PERIOD]
mysterious [AND] inquisitive [AND] confused [IMPLY] ugly [PERIOD]
impatient [IMPLY] thoughtless [PERIOD]
worrisome [IMPLY] comfortable [PERIOD]
nervous [IMPLY] amused [PERIOD]
inquisitive [IMPLY] confident [PERIOD]
amused [AND] dull [IMPLY] smart [PERIOD]
confident [AND] confused [AND] smart [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] comfortable [PERIOD]
comfortable [IMPLY] friendly [PERIOD]
ugly [AND] confused [AND] nervous [IMPLY] dull [PERIOD]
worrisome [IMPLY] inquisitive [PERIOD]
thoughtless [IMPLY] smart [PERIOD]
mysterious [IMPLY] friendly [PERIOD]
smart [IMPLY] impatient [PERIOD]
nervous [AND] tame [IMPLY] dull [PERIOD]
smart [AND] nervous [AND] confident [IMPLY] dull [PERIOD]
friendly [AND] inquisitive [AND] ugly [IMPLY] comfortable [PERIOD]
frightened [AND] mysterious [IMPLY] ugly [PERIOD]
nervous [AND] friendly [IMPLY] smart [PERIOD]
comfortable [AND] ugly [AND] worrisome [IMPLY] impatient [PERIOD]
impatient [IMPLY] confused [PERIOD]
confident [AND] frightened [AND] inquisitive [IMPLY] tame [PERIOD]
worrisome [IMPLY] mysterious [PERIOD]
friendly [AND] thoughtless [IMPLY] mysterious [PERIOD]
comfortable [IMPLY] worrisome [PERIOD]
friendly [IMPLY] ugly [PERIOD]
smart [AND] worrisome [IMPLY] impatient [PERIOD]
amused [AND] thoughtless [AND] comfortable [IMPLY] mysterious [PERIOD]
frightened [AND] amused [AND] friendly [IMPLY] ugly [PERIOD]
frightened [IMPLY] nervous [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   frightened ⇒ nervous
   nervous ⇒ amused
   amused ⇒ dull
   frightened ⇒ nervous
   nervous ⇒ confused
   dull ∧ confused ⇒ mysterious
   mysterious ⇒ friendly
",1,7
"Facts:  Alice is joyous [PERIOD] Alice is weary [PERIOD] Alice is cruel [PERIOD] Alice is sleepy [PERIOD] Alice is blushing [PERIOD] Alice is helpful [PERIOD] Alice is aggressive [PERIOD] Alice is elegant [PERIOD] Alice is broad-minded [PERIOD] Alice is inexpensive [PERIOD]
Rules:
joyous [IMPLY] inexpensive [PERIOD]
sleepy [AND] gifted [AND] frail [IMPLY] joyous [PERIOD]
aggressive [AND] joyous [AND] fearless [IMPLY] helpful [PERIOD]
mean [AND] inexpensive [IMPLY] aggressive [PERIOD]
curious [IMPLY] broad-minded [PERIOD]
sleepy [AND] inexpensive [IMPLY] elegant [PERIOD]
aggressive [AND] broad-minded [IMPLY] blushing [PERIOD]
stupid [IMPLY] mean [PERIOD]
sleepy [IMPLY] frail [PERIOD]
sincere [AND] mean [IMPLY] weary [PERIOD]
elegant [AND] sincere [IMPLY] modern [PERIOD]
weary [AND] elegant [AND] joyous [IMPLY] cruel [PERIOD]
joyous [AND] modern [IMPLY] broad-minded [PERIOD]
blushing [AND] inexpensive [IMPLY] elegant [PERIOD]
modern [AND] sleepy [AND] curious [IMPLY] cruel [PERIOD]
gifted [AND] aggressive [IMPLY] blushing [PERIOD]
elegant [IMPLY] inexpensive [PERIOD]
joyous [IMPLY] elegant [PERIOD]
weary [AND] blushing [AND] sincere [IMPLY] cruel [PERIOD]
stupid [AND] inexpensive [AND] frail [IMPLY] helpful [PERIOD]
elegant [IMPLY] curious [PERIOD]
fearless [AND] frail [AND] joyous [IMPLY] sleepy [PERIOD]
aggressive [AND] sincere [IMPLY] joyous [PERIOD]
curious [AND] blushing [AND] elegant [IMPLY] sleepy [PERIOD]
blushing [AND] gifted [IMPLY] mean [PERIOD]
joyous [IMPLY] mean [PERIOD]
modern [AND] mean [IMPLY] aggressive [PERIOD]
modern [IMPLY] fearless [PERIOD]
fearless [AND] inexpensive [IMPLY] stupid [PERIOD]
inexpensive [AND] joyous [AND] elegant [IMPLY] cruel [PERIOD]
sleepy [AND] sincere [AND] gifted [IMPLY] helpful [PERIOD]
weary [IMPLY] modern [PERIOD]
sincere [AND] weary [AND] frail [IMPLY] inexpensive [PERIOD]
mean [AND] sleepy [IMPLY] cruel [PERIOD]
weary [IMPLY] broad-minded [PERIOD]
sleepy [AND] weary [IMPLY] sincere [PERIOD]
modern [AND] mean [IMPLY] sincere [PERIOD]
blushing [AND] weary [IMPLY] stupid [PERIOD]
blushing [IMPLY] gifted [PERIOD]
gifted [IMPLY] elegant [PERIOD]
stupid [AND] mean [IMPLY] modern [PERIOD]
cruel [AND] curious [AND] helpful [IMPLY] frail [PERIOD]
sleepy [AND] modern [IMPLY] elegant [PERIOD]
mean [IMPLY] cruel [PERIOD]
inexpensive [AND] cruel [AND] mean [IMPLY] blushing [PERIOD]
weary [AND] curious [AND] blushing [IMPLY] joyous [PERIOD]
Query: Alice is helpful [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is elated [PERIOD] Alice is uptight [PERIOD] Alice is agreeable [PERIOD] Alice is zealous [PERIOD] Alice is witty [PERIOD] Alice is frantic [PERIOD]
Rules:
victorious [AND] outrageous [IMPLY] elegant [PERIOD]
elated [AND] joyous [IMPLY] clean [PERIOD]
stormy [AND] calm [AND] clean [IMPLY] outrageous [PERIOD]
wide-eyed [AND] elegant [IMPLY] spotless [PERIOD]
jittery [IMPLY] weary [PERIOD]
fearless [AND] weary [IMPLY] outrageous [PERIOD]
witty [AND] uptight [AND] hurt [IMPLY] victorious [PERIOD]
agreeable [AND] weary [AND] precious [IMPLY] jittery [PERIOD]
good [IMPLY] stormy [PERIOD]
stormy [AND] jittery [IMPLY] hurt [PERIOD]
zealous [AND] frantic [IMPLY] calm [PERIOD]
hurt [IMPLY] versatile [PERIOD]
frantic [IMPLY] elegant [PERIOD]
rude [AND] victorious [AND] good [IMPLY] courageous [PERIOD]
victorious [IMPLY] thoughtful [PERIOD]
witty [AND] exuberant [IMPLY] weary [PERIOD]
joyous [AND] fearless [AND] precious [IMPLY] spotless [PERIOD]
jittery [AND] courageous [AND] uptight [IMPLY] witty [PERIOD]
smart [IMPLY] outrageous [PERIOD]
agreeable [AND] witty [AND] jittery [IMPLY] calm [PERIOD]
good [AND] exuberant [AND] precious [IMPLY] outrageous [PERIOD]
courageous [AND] uptight [IMPLY] stormy [PERIOD]
clean [AND] victorious [AND] frantic [IMPLY] elegant [PERIOD]
joyous [AND] courageous [AND] elegant [IMPLY] witty [PERIOD]
good [AND] stormy [AND] elated [IMPLY] witty [PERIOD]
elated [AND] fearless [AND] weary [IMPLY] good [PERIOD]
wide-eyed [AND] rude [IMPLY] courageous [PERIOD]
stormy [IMPLY] weary [PERIOD]
joyous [IMPLY] witty [PERIOD]
elegant [AND] smart [IMPLY] jittery [PERIOD]
uptight [AND] agreeable [AND] precious [IMPLY] exuberant [PERIOD]
smart [AND] rude [IMPLY] clean [PERIOD]
thoughtful [AND] frantic [IMPLY] zealous [PERIOD]
courageous [AND] precious [IMPLY] witty [PERIOD]
clean [AND] victorious [AND] frantic [IMPLY] precious [PERIOD]
good [IMPLY] uptight [PERIOD]
uptight [AND] weary [AND] thoughtful [IMPLY] smart [PERIOD]
calm [AND] rude [AND] precious [IMPLY] agreeable [PERIOD]
hurt [IMPLY] uptight [PERIOD]
good [IMPLY] agreeable [PERIOD]
weary [AND] elegant [AND] exuberant [IMPLY] rude [PERIOD]
hurt [IMPLY] zealous [PERIOD]
smart [AND] fearless [IMPLY] elegant [PERIOD]
weary [IMPLY] witty [PERIOD]
agreeable [AND] sincere [AND] hurt [IMPLY] witty [PERIOD]
calm [AND] elated [AND] wide-eyed [IMPLY] uptight [PERIOD]
sincere [AND] weary [IMPLY] stormy [PERIOD]
zealous [IMPLY] smart [PERIOD]
clean [IMPLY] stormy [PERIOD]
zealous [IMPLY] clean [PERIOD]
hurt [IMPLY] calm [PERIOD]
frantic [AND] joyous [AND] courageous [IMPLY] thoughtful [PERIOD]
exuberant [IMPLY] agreeable [PERIOD]
outrageous [AND] smart [AND] versatile [IMPLY] exuberant [PERIOD]
zealous [IMPLY] versatile [PERIOD]
uptight [IMPLY] witty [PERIOD]
spotless [IMPLY] victorious [PERIOD]
hurt [AND] agreeable [IMPLY] good [PERIOD]
spotless [IMPLY] exuberant [PERIOD]
frantic [AND] versatile [IMPLY] sincere [PERIOD]
rude [AND] weary [IMPLY] clean [PERIOD]
exuberant [IMPLY] versatile [PERIOD]
fearless [AND] precious [AND] hurt [IMPLY] rude [PERIOD]
agreeable [AND] good [IMPLY] joyous [PERIOD]
smart [AND] agreeable [IMPLY] rude [PERIOD]
frantic [AND] elated [IMPLY] stormy [PERIOD]
calm [AND] agreeable [IMPLY] sincere [PERIOD]
witty [IMPLY] victorious [PERIOD]
frantic [IMPLY] jittery [PERIOD]
good [AND] hurt [IMPLY] zealous [PERIOD]
smart [AND] calm [IMPLY] joyous [PERIOD]
exuberant [IMPLY] clean [PERIOD]
courageous [AND] smart [AND] weary [IMPLY] agreeable [PERIOD]
elegant [AND] courageous [AND] precious [IMPLY] witty [PERIOD]
versatile [AND] hurt [IMPLY] frantic [PERIOD]
jittery [IMPLY] agreeable [PERIOD]
sincere [AND] versatile [AND] clean [IMPLY] uptight [PERIOD]
stormy [IMPLY] fearless [PERIOD]
fearless [AND] rude [IMPLY] outrageous [PERIOD]
clean [AND] elegant [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] zealous [PERIOD]
rude [IMPLY] fearless [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   zealous ⇒ clean
   frantic ⇒ elegant
   clean ∧ elegant ⇒ wide-eyed
   zealous ⇒ smart
   smart ∧ agreeable ⇒ rude
   wide-eyed ∧ rude ⇒ courageous
",1,6
"Facts:  Alice is cute [PERIOD]
Rules:
spotless [IMPLY] condemned [PERIOD]
spotless [AND] outrageous [IMPLY] cute [PERIOD]
outrageous [AND] dishonest [IMPLY] cute [PERIOD]
innocent [AND] dishonest [IMPLY] versatile [PERIOD]
loving [AND] condemned [IMPLY] cute [PERIOD]
stupid [AND] gorgeous [AND] precious [IMPLY] cooperative [PERIOD]
foolish [IMPLY] gorgeous [PERIOD]
condemned [IMPLY] spotless [PERIOD]
loving [AND] rational [AND] stupid [IMPLY] hypocritical [PERIOD]
spotless [IMPLY] cute [PERIOD]
versatile [AND] homely [AND] outrageous [IMPLY] dishonest [PERIOD]
cooperative [AND] foolish [AND] versatile [IMPLY] spotless [PERIOD]
gorgeous [AND] cute [IMPLY] rational [PERIOD]
outrageous [AND] rational [IMPLY] cute [PERIOD]
cute [AND] bright [IMPLY] condemned [PERIOD]
foolish [AND] innocent [IMPLY] spotless [PERIOD]
cooperative [AND] hypocritical [IMPLY] cute [PERIOD]
innocent [IMPLY] bright [PERIOD]
loving [IMPLY] cooperative [PERIOD]
gorgeous [AND] rational [AND] aggressive [IMPLY] outrageous [PERIOD]
dishonest [IMPLY] hypocritical [PERIOD]
loving [AND] outrageous [AND] stupid [IMPLY] cooperative [PERIOD]
spotless [AND] homely [AND] rational [IMPLY] aggressive [PERIOD]
outrageous [AND] loving [AND] spotless [IMPLY] homely [PERIOD]
stupid [AND] cooperative [IMPLY] aggressive [PERIOD]
homely [AND] spotless [AND] cute [IMPLY] condemned [PERIOD]
spotless [AND] cooperative [IMPLY] versatile [PERIOD]
cute [AND] homely [AND] stupid [IMPLY] cooperative [PERIOD]
bright [AND] foolish [IMPLY] dishonest [PERIOD]
precious [IMPLY] stupid [PERIOD]
gorgeous [AND] aggressive [IMPLY] foolish [PERIOD]
cute [AND] versatile [AND] loving [IMPLY] rational [PERIOD]
bright [IMPLY] stupid [PERIOD]
homely [IMPLY] condemned [PERIOD]
versatile [AND] hypocritical [AND] rational [IMPLY] loving [PERIOD]
aggressive [AND] outrageous [AND] condemned [IMPLY] hypocritical [PERIOD]
dishonest [IMPLY] aggressive [PERIOD]
condemned [AND] homely [IMPLY] hypocritical [PERIOD]
loving [AND] condemned [IMPLY] hypocritical [PERIOD]
foolish [AND] dishonest [AND] gorgeous [IMPLY] loving [PERIOD]
outrageous [IMPLY] spotless [PERIOD]
stupid [AND] gorgeous [AND] condemned [IMPLY] bright [PERIOD]
homely [AND] bright [IMPLY] aggressive [PERIOD]
condemned [AND] cute [IMPLY] loving [PERIOD]
bright [AND] spotless [AND] hypocritical [IMPLY] dishonest [PERIOD]
rational [AND] outrageous [AND] loving [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] outrageous [PERIOD]
loving [AND] dishonest [AND] precious [IMPLY] aggressive [PERIOD]
condemned [IMPLY] versatile [PERIOD]
foolish [IMPLY] dishonest [PERIOD]
spotless [IMPLY] bright [PERIOD]
spotless [AND] homely [IMPLY] dishonest [PERIOD]
spotless [AND] innocent [IMPLY] foolish [PERIOD]
innocent [AND] loving [IMPLY] bright [PERIOD]
bright [AND] foolish [AND] cute [IMPLY] rational [PERIOD]
gorgeous [AND] loving [AND] cute [IMPLY] cooperative [PERIOD]
precious [AND] rational [IMPLY] homely [PERIOD]
dishonest [IMPLY] innocent [PERIOD]
outrageous [AND] cute [IMPLY] rational [PERIOD]
foolish [AND] cute [AND] hypocritical [IMPLY] aggressive [PERIOD]
condemned [AND] gorgeous [AND] innocent [IMPLY] bright [PERIOD]
outrageous [IMPLY] bright [PERIOD]
foolish [AND] aggressive [IMPLY] gorgeous [PERIOD]
spotless [AND] bright [IMPLY] stupid [PERIOD]
cute [AND] stupid [IMPLY] dishonest [PERIOD]
loving [AND] cute [IMPLY] bright [PERIOD]
hypocritical [AND] innocent [IMPLY] rational [PERIOD]
loving [IMPLY] aggressive [PERIOD]
stupid [AND] foolish [AND] gorgeous [IMPLY] rational [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   Cannot apply rule “stupid ∧ gorgeous ∧ precious ⇒ cooperative” because missing: stupid, gorgeous, precious.
   Cannot apply rule “loving ⇒ cooperative” because missing: loving.
   Cannot apply rule “loving ∧ outrageous ∧ stupid ⇒ cooperative” because missing: loving, outrageous, stupid.
   Cannot apply rule “cute ∧ homely ∧ stupid ⇒ cooperative” because missing: homely, stupid.
   Cannot apply rule “rational ∧ outrageous ∧ loving ⇒ cooperative” because missing: rational, outrageous, loving.
   Cannot apply rule “gorgeous ∧ loving ∧ cute ⇒ cooperative” because missing: gorgeous, loving.
",0,6
"Facts:  Alice is bossy [PERIOD] Alice is grumpy [PERIOD] Alice is stubborn [PERIOD] Alice is rational [PERIOD] Alice is enchanting [PERIOD] Alice is reserved [PERIOD] Alice is outrageous [PERIOD] Alice is supportive [PERIOD] Alice is distinct [PERIOD] Alice is clean [PERIOD] Alice is gifted [PERIOD] Alice is strange [PERIOD]
Rules:
gifted [IMPLY] easy [PERIOD]
reserved [AND] outrageous [AND] distinct [IMPLY] enchanting [PERIOD]
confused [IMPLY] supportive [PERIOD]
clean [AND] stubborn [IMPLY] gorgeous [PERIOD]
outrageous [AND] easy [IMPLY] bossy [PERIOD]
gifted [AND] attractive [AND] rational [IMPLY] careless [PERIOD]
sensible [IMPLY] supportive [PERIOD]
beautiful [IMPLY] distinct [PERIOD]
strange [AND] easy [AND] rational [IMPLY] supportive [PERIOD]
clean [IMPLY] strange [PERIOD]
bossy [AND] ambitious [IMPLY] clean [PERIOD]
careless [IMPLY] distinct [PERIOD]
distinct [AND] clean [IMPLY] stubborn [PERIOD]
reserved [AND] strange [AND] careless [IMPLY] grumpy [PERIOD]
sensible [AND] easy [IMPLY] bossy [PERIOD]
supportive [AND] gifted [AND] distinct [IMPLY] gorgeous [PERIOD]
confused [AND] grumpy [AND] distinct [IMPLY] reserved [PERIOD]
gifted [AND] sensible [IMPLY] strange [PERIOD]
supportive [AND] ambitious [AND] distinct [IMPLY] gifted [PERIOD]
rational [AND] careless [AND] reserved [IMPLY] strange [PERIOD]
bossy [IMPLY] confused [PERIOD]
beautiful [AND] gorgeous [IMPLY] stubborn [PERIOD]
ambitious [IMPLY] confused [PERIOD]
bossy [AND] outrageous [IMPLY] attractive [PERIOD]
gifted [AND] beautiful [IMPLY] sensible [PERIOD]
confused [AND] beautiful [AND] weary [IMPLY] gifted [PERIOD]
bossy [IMPLY] outrageous [PERIOD]
distinct [AND] weary [IMPLY] outrageous [PERIOD]
supportive [IMPLY] careless [PERIOD]
bossy [AND] ambitious [AND] gorgeous [IMPLY] distinct [PERIOD]
rational [AND] easy [AND] weary [IMPLY] careless [PERIOD]
strange [AND] grumpy [AND] sensible [IMPLY] gorgeous [PERIOD]
reserved [AND] distinct [AND] enchanting [IMPLY] grumpy [PERIOD]
outrageous [AND] clean [IMPLY] grumpy [PERIOD]
stubborn [IMPLY] confused [PERIOD]
gifted [AND] careless [AND] stubborn [IMPLY] supportive [PERIOD]
distinct [IMPLY] supportive [PERIOD]
grumpy [AND] supportive [AND] gifted [IMPLY] reserved [PERIOD]
careless [AND] rational [IMPLY] outrageous [PERIOD]
gorgeous [AND] confused [AND] ambitious [IMPLY] attractive [PERIOD]
reserved [AND] beautiful [IMPLY] grumpy [PERIOD]
weary [AND] easy [IMPLY] careless [PERIOD]
stubborn [AND] reserved [IMPLY] grumpy [PERIOD]
outrageous [AND] sensible [IMPLY] distinct [PERIOD]
grumpy [AND] attractive [IMPLY] careless [PERIOD]
distinct [AND] beautiful [AND] rational [IMPLY] stubborn [PERIOD]
reserved [AND] distinct [IMPLY] attractive [PERIOD]
sensible [IMPLY] beautiful [PERIOD]
strange [IMPLY] rational [PERIOD]
gorgeous [IMPLY] ambitious [PERIOD]
reserved [IMPLY] confused [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   clean ∧ stubborn ⇒ gorgeous
",1,1
"Facts:  Alice is diplomatic [PERIOD] Alice is comfortable [PERIOD] Alice is light [PERIOD] Alice is selfish [PERIOD] Alice is bright [PERIOD] Alice is dull [PERIOD] Alice is jittery [PERIOD] Alice is clumsy [PERIOD] Alice is tender [PERIOD] Alice is smart [PERIOD] Alice is fine [PERIOD] Alice is difficult [PERIOD]
Rules:
smart [AND] perfect [AND] diplomatic [IMPLY] worrisome [PERIOD]
dull [IMPLY] worrisome [PERIOD]
worrisome [IMPLY] stubborn [PERIOD]
dull [AND] light [IMPLY] diplomatic [PERIOD]
diplomatic [AND] tender [AND] stubborn [IMPLY] old-fashioned [PERIOD]
worrisome [AND] clumsy [IMPLY] uptight [PERIOD]
selfish [AND] combative [IMPLY] jittery [PERIOD]
difficult [IMPLY] comfortable [PERIOD]
tender [AND] light [IMPLY] jittery [PERIOD]
tender [IMPLY] combative [PERIOD]
naughty [AND] diplomatic [AND] fine [IMPLY] stubborn [PERIOD]
tender [IMPLY] smart [PERIOD]
difficult [AND] crowded [AND] dull [IMPLY] uptight [PERIOD]
perfect [IMPLY] combative [PERIOD]
tender [AND] smart [AND] stubborn [IMPLY] difficult [PERIOD]
busy [AND] plain [AND] fine [IMPLY] comfortable [PERIOD]
crowded [IMPLY] naughty [PERIOD]
perfect [IMPLY] light [PERIOD]
perfect [AND] old-fashioned [AND] uptight [IMPLY] busy [PERIOD]
beautiful [AND] uptight [IMPLY] bright [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
   dull ⇒ worrisome
   worrisome ⇒ stubborn
   diplomatic ∧ tender ∧ stubborn ⇒ old-fashioned
   dull ⇒ worrisome
   worrisome ∧ clumsy ⇒ uptight
   Cannot apply rule “perfect ∧ old-fashioned ∧ uptight ⇒ busy” because missing: perfect.
",0,6
"Facts:  Alice is fearless [PERIOD] Alice is different [PERIOD] Alice is silly [PERIOD]
Rules:
ugly [AND] stormy [AND] frightened [IMPLY] fancy [PERIOD]
amused [IMPLY] polite [PERIOD]
excited [AND] ambitious [AND] confused [IMPLY] bored [PERIOD]
beautiful [AND] spotless [IMPLY] impartial [PERIOD]
fearless [AND] amused [IMPLY] beautiful [PERIOD]
impartial [AND] different [AND] beautiful [IMPLY] lucky [PERIOD]
silly [AND] bored [AND] hurt [IMPLY] confused [PERIOD]
silly [IMPLY] beautiful [PERIOD]
ugly [AND] beautiful [AND] bright [IMPLY] fearless [PERIOD]
confused [IMPLY] polite [PERIOD]
beautiful [AND] impartial [IMPLY] polite [PERIOD]
hurt [AND] lucky [AND] helpful [IMPLY] polite [PERIOD]
lucky [AND] ugly [AND] smart [IMPLY] different [PERIOD]
helpful [AND] ugly [AND] bored [IMPLY] confused [PERIOD]
frightened [AND] bored [IMPLY] fancy [PERIOD]
ugly [AND] fearless [IMPLY] spotless [PERIOD]
hurt [AND] ambitious [AND] confused [IMPLY] bright [PERIOD]
amused [AND] beautiful [IMPLY] silly [PERIOD]
impartial [AND] silly [AND] excited [IMPLY] stormy [PERIOD]
excited [IMPLY] different [PERIOD]
different [AND] ugly [IMPLY] confused [PERIOD]
different [AND] hurt [IMPLY] polite [PERIOD]
fancy [IMPLY] joyous [PERIOD]
joyous [AND] beautiful [IMPLY] helpful [PERIOD]
bright [IMPLY] polite [PERIOD]
amused [AND] confused [AND] bored [IMPLY] smart [PERIOD]
confused [AND] silly [AND] polite [IMPLY] beautiful [PERIOD]
wrong [IMPLY] impartial [PERIOD]
wrong [AND] ugly [IMPLY] smart [PERIOD]
tense [AND] stormy [IMPLY] amused [PERIOD]
ugly [AND] confused [IMPLY] different [PERIOD]
spotless [IMPLY] smart [PERIOD]
tense [AND] fearless [AND] amused [IMPLY] hurt [PERIOD]
helpful [IMPLY] frightened [PERIOD]
beautiful [AND] silly [AND] smart [IMPLY] lucky [PERIOD]
frightened [AND] excited [IMPLY] wrong [PERIOD]
hurt [AND] beautiful [AND] spotless [IMPLY] ugly [PERIOD]
wrong [AND] tense [IMPLY] beautiful [PERIOD]
joyous [IMPLY] bright [PERIOD]
silly [IMPLY] tense [PERIOD]
helpful [IMPLY] beautiful [PERIOD]
stormy [AND] hurt [IMPLY] polite [PERIOD]
smart [AND] ugly [AND] hurt [IMPLY] spotless [PERIOD]
fearless [IMPLY] ambitious [PERIOD]
stormy [AND] hurt [IMPLY] helpful [PERIOD]
tense [IMPLY] wrong [PERIOD]
smart [AND] amused [IMPLY] silly [PERIOD]
different [AND] bright [AND] fearless [IMPLY] beautiful [PERIOD]
smart [AND] ambitious [AND] lucky [IMPLY] fearless [PERIOD]
lucky [IMPLY] fearless [PERIOD]
tense [IMPLY] impartial [PERIOD]
excited [AND] fearless [IMPLY] lucky [PERIOD]
smart [AND] frightened [AND] amused [IMPLY] impartial [PERIOD]
silly [IMPLY] frightened [PERIOD]
amused [AND] ambitious [AND] fearless [IMPLY] silly [PERIOD]
wrong [AND] silly [AND] beautiful [IMPLY] fancy [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   silly ⇒ tense
   tense ⇒ wrong
   silly ⇒ beautiful
   wrong ∧ silly ∧ beautiful ⇒ fancy
   fancy ⇒ joyous
   joyous ⇒ bright
",1,6
"Facts:  Alice is impartial [PERIOD] Alice is shy [PERIOD] Alice is ambitious [PERIOD] Alice is long [PERIOD] Alice is lucky [PERIOD] Alice is unpleasant [PERIOD]
Rules:
shy [AND] mysterious [AND] agreeable [IMPLY] muddy [PERIOD]
agreeable [AND] gleaming [IMPLY] calm [PERIOD]
charming [AND] precious [AND] muddy [IMPLY] agreeable [PERIOD]
muddy [AND] comfortable [IMPLY] tense [PERIOD]
anxious [AND] mysterious [IMPLY] impatient [PERIOD]
precious [AND] muddy [IMPLY] ambitious [PERIOD]
long [AND] calm [IMPLY] unpleasant [PERIOD]
precious [AND] comfortable [IMPLY] calm [PERIOD]
precious [IMPLY] agreeable [PERIOD]
comfortable [AND] tense [IMPLY] easy [PERIOD]
adorable [IMPLY] impatient [PERIOD]
precious [AND] outstanding [AND] mysterious [IMPLY] adorable [PERIOD]
impatient [IMPLY] lucky [PERIOD]
homely [AND] long [AND] adorable [IMPLY] mysterious [PERIOD]
agreeable [AND] charming [AND] unpleasant [IMPLY] adorable [PERIOD]
gleaming [AND] long [IMPLY] unpleasant [PERIOD]
impatient [AND] anxious [AND] shy [IMPLY] mysterious [PERIOD]
gleaming [AND] helpful [AND] lucky [IMPLY] fine [PERIOD]
anxious [AND] precious [AND] tense [IMPLY] mysterious [PERIOD]
homely [IMPLY] gleaming [PERIOD]
lucky [IMPLY] tense [PERIOD]
shy [IMPLY] homely [PERIOD]
adorable [AND] homely [AND] anxious [IMPLY] easy [PERIOD]
tense [IMPLY] impartial [PERIOD]
anxious [IMPLY] comfortable [PERIOD]
easy [AND] tense [AND] charming [IMPLY] anxious [PERIOD]
homely [AND] lucky [AND] calm [IMPLY] shy [PERIOD]
fine [AND] ambitious [AND] mysterious [IMPLY] calm [PERIOD]
fine [AND] precious [AND] ambitious [IMPLY] outstanding [PERIOD]
gleaming [IMPLY] agreeable [PERIOD]
agreeable [AND] fine [IMPLY] enchanting [PERIOD]
ambitious [AND] easy [IMPLY] precious [PERIOD]
charming [AND] calm [AND] long [IMPLY] unpleasant [PERIOD]
lucky [IMPLY] comfortable [PERIOD]
muddy [AND] mysterious [IMPLY] comfortable [PERIOD]
comfortable [IMPLY] shy [PERIOD]
gleaming [AND] charming [AND] long [IMPLY] comfortable [PERIOD]
lucky [AND] unpleasant [AND] easy [IMPLY] helpful [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   shy ⇒ homely
   homely ⇒ gleaming
   gleaming ⇒ agreeable
   shy ⇒ homely
   homely ⇒ gleaming
   agreeable ∧ gleaming ⇒ calm
",1,6
"Facts:  Alice is charming [PERIOD] Alice is naughty [PERIOD] Alice is aggressive [PERIOD] Alice is hurt [PERIOD] Alice is straightforward [PERIOD] Alice is intellectual [PERIOD] Alice is helpless [PERIOD] Alice is troubled [PERIOD] Alice is outstanding [PERIOD]
Rules:
outstanding [AND] stormy [IMPLY] helpless [PERIOD]
naughty [IMPLY] aggressive [PERIOD]
helpless [AND] straightforward [AND] shiny [IMPLY] mysterious [PERIOD]
worrisome [IMPLY] charming [PERIOD]
helpless [IMPLY] anxious [PERIOD]
anxious [AND] cooperative [IMPLY] excited [PERIOD]
stormy [IMPLY] inexpensive [PERIOD]
pleasant [AND] mysterious [IMPLY] helpless [PERIOD]
mysterious [AND] straightforward [AND] charming [IMPLY] helpless [PERIOD]
worrisome [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] straightforward [PERIOD]
troubled [AND] cooperative [AND] naughty [IMPLY] anxious [PERIOD]
helpless [AND] aggressive [AND] shiny [IMPLY] excited [PERIOD]
excited [AND] cooperative [AND] aggressive [IMPLY] mysterious [PERIOD]
aggressive [IMPLY] hurt [PERIOD]
troubled [IMPLY] naughty [PERIOD]
pleasant [IMPLY] troubled [PERIOD]
excited [AND] troubled [AND] aggressive [IMPLY] charming [PERIOD]
anxious [AND] worrisome [AND] naughty [IMPLY] troubled [PERIOD]
inexpensive [IMPLY] mysterious [PERIOD]
helpless [AND] outstanding [IMPLY] hurt [PERIOD]
naughty [IMPLY] pleasant [PERIOD]
anxious [AND] hurt [AND] stormy [IMPLY] straightforward [PERIOD]
charming [AND] hurt [IMPLY] aggressive [PERIOD]
stormy [IMPLY] straightforward [PERIOD]
anxious [AND] excited [IMPLY] intellectual [PERIOD]
pleasant [AND] inexpensive [IMPLY] shiny [PERIOD]
excited [AND] hurt [AND] worrisome [IMPLY] aggressive [PERIOD]
stormy [AND] pleasant [AND] aggressive [IMPLY] hurt [PERIOD]
worrisome [AND] helpless [IMPLY] outstanding [PERIOD]
hurt [AND] cooperative [IMPLY] shiny [PERIOD]
naughty [AND] pleasant [IMPLY] stormy [PERIOD]
charming [AND] anxious [AND] outstanding [IMPLY] straightforward [PERIOD]
anxious [AND] charming [AND] intellectual [IMPLY] hurt [PERIOD]
outstanding [AND] cooperative [AND] worrisome [IMPLY] naughty [PERIOD]
shiny [AND] straightforward [IMPLY] intellectual [PERIOD]
worrisome [AND] pleasant [AND] anxious [IMPLY] troubled [PERIOD]
mysterious [IMPLY] outstanding [PERIOD]
straightforward [AND] aggressive [AND] cooperative [IMPLY] worrisome [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   naughty ⇒ pleasant
   naughty ⇒ pleasant
   naughty ∧ pleasant ⇒ stormy
   stormy ⇒ inexpensive
   pleasant ∧ inexpensive ⇒ shiny
   helpless ∧ aggressive ∧ shiny ⇒ excited
",1,6
"Facts:  Alice is beautiful [PERIOD] Alice is crowded [PERIOD]
Rules:
hypocritical [AND] nervous [AND] crowded [IMPLY] embarrassed [PERIOD]
charming [AND] cute [IMPLY] strange [PERIOD]
hypocritical [AND] inquisitive [AND] charming [IMPLY] cute [PERIOD]
crowded [AND] charming [AND] glamorous [IMPLY] zealous [PERIOD]
crowded [AND] strange [AND] nervous [IMPLY] glamorous [PERIOD]
charming [AND] nervous [AND] beautiful [IMPLY] elegant [PERIOD]
cute [AND] elegant [IMPLY] versatile [PERIOD]
cute [IMPLY] supportive [PERIOD]
beautiful [AND] elegant [IMPLY] glamorous [PERIOD]
strange [AND] embarrassed [AND] versatile [IMPLY] hypocritical [PERIOD]
supportive [IMPLY] nervous [PERIOD]
charming [AND] crowded [IMPLY] cute [PERIOD]
elegant [IMPLY] inquisitive [PERIOD]
hypocritical [AND] glamorous [IMPLY] zealous [PERIOD]
embarrassed [IMPLY] zealous [PERIOD]
elegant [AND] inquisitive [AND] zealous [IMPLY] hypocritical [PERIOD]
charming [AND] hypocritical [IMPLY] nervous [PERIOD]
strange [AND] supportive [AND] elegant [IMPLY] embarrassed [PERIOD]
glamorous [AND] cute [IMPLY] supportive [PERIOD]
beautiful [IMPLY] hypocritical [PERIOD]
cute [AND] crowded [AND] beautiful [IMPLY] versatile [PERIOD]
zealous [IMPLY] beautiful [PERIOD]
embarrassed [AND] versatile [AND] elegant [IMPLY] zealous [PERIOD]
nervous [AND] beautiful [IMPLY] elegant [PERIOD]
nervous [IMPLY] versatile [PERIOD]
glamorous [AND] inquisitive [AND] versatile [IMPLY] crowded [PERIOD]
hypocritical [AND] nervous [IMPLY] versatile [PERIOD]
zealous [IMPLY] hypocritical [PERIOD]
inquisitive [AND] charming [IMPLY] embarrassed [PERIOD]
embarrassed [AND] crowded [AND] elegant [IMPLY] hypocritical [PERIOD]
embarrassed [AND] versatile [AND] inquisitive [IMPLY] charming [PERIOD]
glamorous [AND] nervous [AND] hypocritical [IMPLY] strange [PERIOD]
versatile [IMPLY] inquisitive [PERIOD]
hypocritical [IMPLY] inquisitive [PERIOD]
glamorous [AND] beautiful [AND] cute [IMPLY] charming [PERIOD]
crowded [AND] cute [IMPLY] beautiful [PERIOD]
strange [IMPLY] charming [PERIOD]
charming [IMPLY] nervous [PERIOD]
beautiful [IMPLY] charming [PERIOD]
glamorous [AND] versatile [IMPLY] crowded [PERIOD]
hypocritical [IMPLY] charming [PERIOD]
versatile [AND] inquisitive [AND] elegant [IMPLY] strange [PERIOD]
strange [AND] zealous [IMPLY] hypocritical [PERIOD]
elegant [AND] glamorous [IMPLY] versatile [PERIOD]
embarrassed [AND] versatile [IMPLY] cute [PERIOD]
embarrassed [AND] elegant [AND] strange [IMPLY] glamorous [PERIOD]
charming [AND] elegant [AND] inquisitive [IMPLY] crowded [PERIOD]
elegant [AND] supportive [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] glamorous [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   beautiful ⇒ charming
   beautiful ⇒ charming
   charming ⇒ nervous
   charming ∧ nervous ∧ beautiful ⇒ elegant
",1,4
"Facts:  Alice is long [PERIOD]
Rules:
serious [IMPLY] attentive [PERIOD]
agreeable [IMPLY] long [PERIOD]
outstanding [IMPLY] glamorous [PERIOD]
victorious [AND] agreeable [AND] fearless [IMPLY] shiny [PERIOD]
troubled [IMPLY] serious [PERIOD]
silly [AND] fearless [IMPLY] long [PERIOD]
attentive [IMPLY] gorgeous [PERIOD]
fearless [IMPLY] outstanding [PERIOD]
long [AND] troubled [IMPLY] outstanding [PERIOD]
glamorous [AND] agreeable [AND] shiny [IMPLY] gorgeous [PERIOD]
fearless [AND] sleepy [IMPLY] victorious [PERIOD]
glamorous [IMPLY] attentive [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   Cannot apply rule “victorious ∧ agreeable ∧ fearless ⇒ shiny” because missing: victorious, agreeable, fearless.
",0,1
"Facts: 
Rules:
impartial [IMPLY] helpless [PERIOD]
light [AND] helpless [AND] impartial [IMPLY] joyous [PERIOD]
joyous [AND] helpless [IMPLY] spotless [PERIOD]
confident [AND] helpless [IMPLY] light [PERIOD]
light [IMPLY] blushing [PERIOD]
confident [AND] light [IMPLY] impartial [PERIOD]
light [AND] joyous [AND] helpless [IMPLY] impartial [PERIOD]
confident [AND] joyous [IMPLY] helpless [PERIOD]
confident [AND] blushing [IMPLY] light [PERIOD]
blushing [IMPLY] joyous [PERIOD]
light [AND] confident [AND] helpless [IMPLY] impartial [PERIOD]
confident [AND] blushing [AND] impartial [IMPLY] helpless [PERIOD]
impartial [IMPLY] spotless [PERIOD]
helpless [AND] spotless [IMPLY] joyous [PERIOD]
blushing [AND] spotless [AND] light [IMPLY] confident [PERIOD]
joyous [IMPLY] blushing [PERIOD]
confident [AND] light [AND] joyous [IMPLY] blushing [PERIOD]
light [AND] confident [AND] joyous [IMPLY] helpless [PERIOD]
helpless [IMPLY] light [PERIOD]
confident [AND] helpless [AND] blushing [IMPLY] spotless [PERIOD]
light [AND] helpless [AND] spotless [IMPLY] blushing [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   Cannot apply rule “confident ∧ light ⇒ impartial” because missing: confident, light.
   Cannot apply rule “light ∧ joyous ∧ helpless ⇒ impartial” because missing: light, joyous, helpless.
   Cannot apply rule “light ∧ confident ∧ helpless ⇒ impartial” because missing: light, confident, helpless.
",0,3
"Facts: 
Rules:
fine [AND] witty [IMPLY] versatile [PERIOD]
intellectual [AND] fine [AND] tame [IMPLY] different [PERIOD]
versatile [IMPLY] fearless [PERIOD]
versatile [AND] different [IMPLY] beautiful [PERIOD]
intellectual [AND] versatile [AND] fine [IMPLY] different [PERIOD]
versatile [AND] agreeable [AND] different [IMPLY] tame [PERIOD]
frightened [AND] serious [AND] witty [IMPLY] pessimistic [PERIOD]
outstanding [IMPLY] strange [PERIOD]
frantic [IMPLY] agreeable [PERIOD]
frightened [AND] intellectual [IMPLY] frantic [PERIOD]
agreeable [AND] frightened [AND] strange [IMPLY] versatile [PERIOD]
fine [AND] frightened [AND] tame [IMPLY] versatile [PERIOD]
strange [IMPLY] frightened [PERIOD]
pessimistic [AND] witty [IMPLY] different [PERIOD]
frantic [AND] outstanding [IMPLY] versatile [PERIOD]
versatile [AND] strange [IMPLY] tame [PERIOD]
frightened [AND] fearless [IMPLY] strange [PERIOD]
different [AND] intellectual [AND] bossy [IMPLY] frightened [PERIOD]
strange [IMPLY] serious [PERIOD]
pessimistic [AND] frightened [IMPLY] fine [PERIOD]
fearless [IMPLY] bossy [PERIOD]
beautiful [AND] versatile [AND] witty [IMPLY] pessimistic [PERIOD]
versatile [AND] outstanding [IMPLY] witty [PERIOD]
fearless [IMPLY] tame [PERIOD]
strange [IMPLY] tame [PERIOD]
pessimistic [IMPLY] tame [PERIOD]
beautiful [IMPLY] intellectual [PERIOD]
outstanding [IMPLY] intellectual [PERIOD]
outstanding [AND] tame [IMPLY] beautiful [PERIOD]
versatile [AND] pessimistic [IMPLY] beautiful [PERIOD]
fine [AND] beautiful [IMPLY] strange [PERIOD]
outstanding [AND] serious [AND] intellectual [IMPLY] fine [PERIOD]
agreeable [IMPLY] fearless [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   Cannot apply rule “pessimistic ∧ frightened ⇒ fine” because missing: pessimistic, frightened.
   Cannot apply rule “outstanding ∧ serious ∧ intellectual ⇒ fine” because missing: outstanding, serious, intellectual.
",0,2
"Facts:  Alice is confident [PERIOD] Alice is calm [PERIOD]
Rules:
calm [AND] difficult [AND] confident [IMPLY] troubled [PERIOD]
hurt [AND] silly [IMPLY] calm [PERIOD]
talented [IMPLY] calm [PERIOD]
talented [IMPLY] silly [PERIOD]
sincere [AND] troubled [AND] talented [IMPLY] hurt [PERIOD]
troubled [AND] confident [IMPLY] silly [PERIOD]
hurt [AND] confident [IMPLY] difficult [PERIOD]
confident [AND] hurt [IMPLY] calm [PERIOD]
troubled [IMPLY] silly [PERIOD]
difficult [AND] sincere [IMPLY] calm [PERIOD]
difficult [AND] confident [AND] sincere [IMPLY] troubled [PERIOD]
calm [AND] troubled [IMPLY] silly [PERIOD]
sincere [IMPLY] confident [PERIOD]
confident [IMPLY] hurt [PERIOD]
silly [AND] talented [IMPLY] sincere [PERIOD]
talented [AND] troubled [IMPLY] calm [PERIOD]
confident [AND] silly [AND] calm [IMPLY] difficult [PERIOD]
talented [AND] difficult [AND] silly [IMPLY] hurt [PERIOD]
difficult [AND] sincere [AND] calm [IMPLY] confident [PERIOD]
difficult [AND] talented [AND] confident [IMPLY] calm [PERIOD]
difficult [AND] troubled [AND] hurt [IMPLY] sincere [PERIOD]
difficult [IMPLY] talented [PERIOD]
calm [AND] talented [AND] confident [IMPLY] troubled [PERIOD]
silly [IMPLY] sincere [PERIOD]
calm [IMPLY] confident [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   confident ⇒ hurt
   hurt ∧ confident ⇒ difficult
   confident ⇒ hurt
   hurt ∧ confident ⇒ difficult
   calm ∧ difficult ∧ confident ⇒ troubled
   confident ⇒ hurt
   difficult ∧ troubled ∧ hurt ⇒ sincere
",1,7
"Facts:  Alice is bright [PERIOD] Alice is calm [PERIOD] Alice is difficult [PERIOD] Alice is quaint [PERIOD]
Rules:
uptight [IMPLY] difficult [PERIOD]
elegant [IMPLY] difficult [PERIOD]
busy [AND] long [IMPLY] adorable [PERIOD]
quaint [IMPLY] calm [PERIOD]
quaint [AND] selfish [AND] scared [IMPLY] naughty [PERIOD]
average [AND] naughty [AND] scared [IMPLY] quaint [PERIOD]
long [IMPLY] average [PERIOD]
calm [AND] average [IMPLY] long [PERIOD]
bright [IMPLY] thoughtful [PERIOD]
blushing [AND] thoughtful [IMPLY] selfish [PERIOD]
calm [AND] scared [IMPLY] adorable [PERIOD]
scared [IMPLY] shy [PERIOD]
average [AND] elegant [AND] blushing [IMPLY] witty [PERIOD]
famous [IMPLY] quaint [PERIOD]
thoughtful [AND] scared [AND] selfish [IMPLY] adorable [PERIOD]
long [AND] bright [AND] difficult [IMPLY] busy [PERIOD]
shy [IMPLY] average [PERIOD]
shy [IMPLY] naughty [PERIOD]
shy [AND] uptight [IMPLY] bright [PERIOD]
scared [AND] average [IMPLY] uptight [PERIOD]
thoughtful [AND] adorable [AND] selfish [IMPLY] scared [PERIOD]
bright [AND] witty [AND] blushing [IMPLY] uptight [PERIOD]
blushing [AND] famous [IMPLY] difficult [PERIOD]
busy [AND] naughty [IMPLY] elegant [PERIOD]
helpful [IMPLY] shy [PERIOD]
blushing [IMPLY] long [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   Cannot apply rule “long ⇒ average” because missing: long.
   Cannot apply rule “shy ⇒ average” because missing: shy.
",0,2
"Facts: 
Rules:
anxious [AND] fine [AND] elated [IMPLY] calm [PERIOD]
anxious [AND] rude [IMPLY] calm [PERIOD]
calm [IMPLY] fine [PERIOD]
rude [AND] confident [AND] anxious [IMPLY] elated [PERIOD]
calm [AND] confident [AND] anxious [IMPLY] rude [PERIOD]
anxious [IMPLY] fine [PERIOD]
fine [AND] rude [IMPLY] confident [PERIOD]
confident [IMPLY] elated [PERIOD]
elated [AND] confident [IMPLY] fine [PERIOD]
elated [AND] anxious [IMPLY] rude [PERIOD]
fine [AND] rude [AND] elated [IMPLY] confident [PERIOD]
elated [IMPLY] confident [PERIOD]
calm [AND] confident [AND] elated [IMPLY] fine [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   Cannot apply rule “rude ∧ confident ∧ anxious ⇒ elated” because missing: rude, confident, anxious.
   Cannot apply rule “confident ⇒ elated” because missing: confident.
",0,2
"Facts:  Alice is bored [PERIOD] Alice is rude [PERIOD] Alice is popular [PERIOD] Alice is ugly [PERIOD] Alice is worrisome [PERIOD] Alice is wandering [PERIOD]
Rules:
excited [AND] worrisome [IMPLY] popular [PERIOD]
excited [AND] difficult [IMPLY] popular [PERIOD]
worrisome [IMPLY] gleaming [PERIOD]
loving [AND] worrisome [IMPLY] rude [PERIOD]
rude [AND] ugly [AND] loving [IMPLY] pleasant [PERIOD]
hypocritical [AND] excited [AND] sensible [IMPLY] popular [PERIOD]
loving [AND] pleasant [IMPLY] impartial [PERIOD]
pleasant [IMPLY] sensible [PERIOD]
hypocritical [IMPLY] loving [PERIOD]
bored [AND] worrisome [AND] gleaming [IMPLY] sensible [PERIOD]
pleasant [IMPLY] wandering [PERIOD]
difficult [IMPLY] wandering [PERIOD]
popular [AND] pleasant [AND] excited [IMPLY] sleepy [PERIOD]
impartial [IMPLY] sensible [PERIOD]
popular [AND] worrisome [IMPLY] impartial [PERIOD]
pleasant [AND] bored [IMPLY] impartial [PERIOD]
worrisome [AND] impartial [AND] pleasant [IMPLY] difficult [PERIOD]
sleepy [AND] hypocritical [IMPLY] worrisome [PERIOD]
sensible [AND] excited [AND] sleepy [IMPLY] worrisome [PERIOD]
bored [AND] hypocritical [IMPLY] popular [PERIOD]
hypocritical [AND] gleaming [IMPLY] wandering [PERIOD]
sensible [AND] bored [AND] popular [IMPLY] sleepy [PERIOD]
sleepy [AND] gleaming [AND] ugly [IMPLY] difficult [PERIOD]
gleaming [IMPLY] popular [PERIOD]
ugly [AND] difficult [IMPLY] impartial [PERIOD]
sleepy [AND] difficult [AND] hypocritical [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] excited [PERIOD]
bored [AND] hypocritical [IMPLY] loving [PERIOD]
sensible [AND] ugly [AND] gleaming [IMPLY] rude [PERIOD]
gleaming [AND] pleasant [AND] impartial [IMPLY] excited [PERIOD]
worrisome [AND] ugly [AND] impartial [IMPLY] bored [PERIOD]
excited [AND] hypocritical [AND] pleasant [IMPLY] bored [PERIOD]
difficult [AND] popular [IMPLY] impartial [PERIOD]
rude [AND] pleasant [IMPLY] gleaming [PERIOD]
ugly [IMPLY] sleepy [PERIOD]
pleasant [AND] sensible [IMPLY] sleepy [PERIOD]
pleasant [AND] rude [IMPLY] loving [PERIOD]
loving [AND] sensible [IMPLY] difficult [PERIOD]
difficult [AND] popular [IMPLY] excited [PERIOD]
impartial [AND] difficult [AND] rude [IMPLY] worrisome [PERIOD]
ugly [IMPLY] loving [PERIOD]
worrisome [AND] pleasant [IMPLY] ugly [PERIOD]
hypocritical [AND] rude [IMPLY] pleasant [PERIOD]
hypocritical [AND] rude [AND] ugly [IMPLY] worrisome [PERIOD]
excited [IMPLY] pleasant [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   ugly ⇒ sleepy
   worrisome ⇒ gleaming
   sleepy ∧ gleaming ∧ ugly ⇒ difficult
   difficult ∧ popular ⇒ excited
",1,4
"Facts:  Alice is sincere [PERIOD]
Rules:
beautiful [AND] joyous [AND] versatile [IMPLY] courageous [PERIOD]
exuberant [IMPLY] combative [PERIOD]
exuberant [IMPLY] old-fashioned [PERIOD]
tender [IMPLY] sincere [PERIOD]
loving [AND] blushing [IMPLY] diplomatic [PERIOD]
gleaming [IMPLY] gifted [PERIOD]
blushing [IMPLY] combative [PERIOD]
strange [AND] tender [IMPLY] joyous [PERIOD]
versatile [AND] serious [AND] shiny [IMPLY] diplomatic [PERIOD]
lucky [IMPLY] cute [PERIOD]
wide-eyed [AND] pleasant [IMPLY] gifted [PERIOD]
popular [AND] gleaming [AND] tender [IMPLY] versatile [PERIOD]
combative [IMPLY] loving [PERIOD]
wide-eyed [IMPLY] strange [PERIOD]
gifted [AND] sincere [IMPLY] crowded [PERIOD]
courageous [AND] uptight [AND] pessimistic [IMPLY] joyous [PERIOD]
blushing [IMPLY] gifted [PERIOD]
cute [IMPLY] gifted [PERIOD]
serious [IMPLY] courageous [PERIOD]
popular [AND] shiny [IMPLY] pleasant [PERIOD]
exuberant [IMPLY] lucky [PERIOD]
versatile [AND] shiny [IMPLY] pessimistic [PERIOD]
cute [IMPLY] loving [PERIOD]
popular [AND] loving [IMPLY] courageous [PERIOD]
strange [IMPLY] crowded [PERIOD]
wide-eyed [AND] sincere [IMPLY] lucky [PERIOD]
tender [AND] lucky [AND] popular [IMPLY] joyous [PERIOD]
lucky [IMPLY] shiny [PERIOD]
pessimistic [AND] serious [IMPLY] cute [PERIOD]
sincere [AND] pessimistic [AND] wide-eyed [IMPLY] polite [PERIOD]
gleaming [IMPLY] joyous [PERIOD]
wide-eyed [AND] gleaming [AND] tender [IMPLY] shiny [PERIOD]
diplomatic [AND] popular [IMPLY] beautiful [PERIOD]
beautiful [AND] cute [IMPLY] gifted [PERIOD]
strange [AND] beautiful [AND] versatile [IMPLY] pleasant [PERIOD]
beautiful [AND] serious [AND] uptight [IMPLY] courageous [PERIOD]
loving [AND] joyous [IMPLY] gleaming [PERIOD]
lucky [AND] joyous [IMPLY] cute [PERIOD]
lucky [AND] crowded [AND] gifted [IMPLY] sincere [PERIOD]
strange [AND] sincere [IMPLY] loving [PERIOD]
crowded [AND] wide-eyed [AND] diplomatic [IMPLY] serious [PERIOD]
crowded [IMPLY] lucky [PERIOD]
courageous [AND] ugly [AND] popular [IMPLY] pleasant [PERIOD]
tender [IMPLY] beautiful [PERIOD]
crowded [AND] tender [IMPLY] gifted [PERIOD]
tender [IMPLY] polite [PERIOD]
beautiful [AND] wide-eyed [IMPLY] combative [PERIOD]
sincere [IMPLY] gifted [PERIOD]
blushing [AND] popular [IMPLY] crowded [PERIOD]
gifted [AND] sincere [AND] blushing [IMPLY] ugly [PERIOD]
diplomatic [IMPLY] shy [PERIOD]
joyous [AND] old-fashioned [AND] tender [IMPLY] loving [PERIOD]
uptight [AND] serious [IMPLY] cute [PERIOD]
serious [IMPLY] old-fashioned [PERIOD]
ugly [AND] cute [AND] tender [IMPLY] old-fashioned [PERIOD]
blushing [AND] courageous [IMPLY] joyous [PERIOD]
polite [AND] crowded [AND] blushing [IMPLY] gifted [PERIOD]
blushing [AND] combative [IMPLY] shiny [PERIOD]
exuberant [AND] lucky [AND] gifted [IMPLY] joyous [PERIOD]
gifted [IMPLY] wide-eyed [PERIOD]
gleaming [AND] old-fashioned [AND] gifted [IMPLY] sincere [PERIOD]
exuberant [AND] ugly [IMPLY] diplomatic [PERIOD]
gleaming [AND] tender [IMPLY] cute [PERIOD]
combative [AND] loving [IMPLY] gleaming [PERIOD]
popular [AND] crowded [IMPLY] gleaming [PERIOD]
polite [AND] pleasant [IMPLY] ugly [PERIOD]
strange [AND] joyous [IMPLY] ugly [PERIOD]
polite [IMPLY] wide-eyed [PERIOD]
versatile [AND] tender [IMPLY] strange [PERIOD]
loving [AND] sincere [AND] old-fashioned [IMPLY] lucky [PERIOD]
diplomatic [AND] strange [AND] shiny [IMPLY] ugly [PERIOD]
polite [IMPLY] courageous [PERIOD]
polite [IMPLY] cute [PERIOD]
polite [AND] pessimistic [IMPLY] joyous [PERIOD]
shiny [AND] strange [AND] tender [IMPLY] exuberant [PERIOD]
wide-eyed [AND] uptight [AND] ugly [IMPLY] sincere [PERIOD]
tender [AND] ugly [IMPLY] combative [PERIOD]
loving [IMPLY] uptight [PERIOD]
gifted [AND] combative [IMPLY] gleaming [PERIOD]
strange [AND] joyous [AND] lucky [IMPLY] courageous [PERIOD]
courageous [IMPLY] shiny [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   Cannot apply rule “exuberant ⇒ combative” because missing: exuberant.
   Cannot apply rule “blushing ⇒ combative” because missing: blushing.
   sincere ⇒ gifted
   gifted ⇒ wide-eyed
   Cannot apply rule “beautiful ∧ wide-eyed ⇒ combative” because missing: beautiful.
   Cannot apply rule “tender ∧ ugly ⇒ combative” because missing: tender, ugly.
",0,6
"Facts:  Alice is innocent [PERIOD] Alice is anxious [PERIOD] Alice is powerful [PERIOD] Alice is plain [PERIOD] Alice is careless [PERIOD] Alice is versatile [PERIOD]
Rules:
light [AND] versatile [AND] innocent [IMPLY] straightforward [PERIOD]
careless [AND] powerful [IMPLY] straightforward [PERIOD]
scared [AND] foolish [IMPLY] wrong [PERIOD]
scared [AND] foolish [IMPLY] versatile [PERIOD]
wrong [AND] careless [AND] frail [IMPLY] cooperative [PERIOD]
foolish [IMPLY] powerful [PERIOD]
careless [AND] light [AND] cooperative [IMPLY] anxious [PERIOD]
straightforward [AND] foolish [AND] frail [IMPLY] powerful [PERIOD]
versatile [AND] foolish [IMPLY] straightforward [PERIOD]
scared [AND] frail [IMPLY] cooperative [PERIOD]
innocent [AND] careless [AND] versatile [IMPLY] plain [PERIOD]
cooperative [IMPLY] plain [PERIOD]
light [AND] foolish [AND] innocent [IMPLY] frail [PERIOD]
cooperative [IMPLY] innocent [PERIOD]
powerful [AND] careless [IMPLY] innocent [PERIOD]
versatile [IMPLY] scared [PERIOD]
scared [AND] anxious [IMPLY] straightforward [PERIOD]
anxious [AND] cooperative [IMPLY] frail [PERIOD]
scared [AND] anxious [IMPLY] frail [PERIOD]
powerful [IMPLY] anxious [PERIOD]
plain [IMPLY] versatile [PERIOD]
powerful [AND] straightforward [IMPLY] frail [PERIOD]
innocent [IMPLY] cooperative [PERIOD]
careless [AND] straightforward [AND] versatile [IMPLY] cooperative [PERIOD]
anxious [AND] careless [IMPLY] innocent [PERIOD]
careless [AND] cooperative [IMPLY] versatile [PERIOD]
plain [IMPLY] anxious [PERIOD]
straightforward [AND] frail [AND] careless [IMPLY] foolish [PERIOD]
cooperative [AND] straightforward [IMPLY] powerful [PERIOD]
versatile [AND] straightforward [IMPLY] careless [PERIOD]
light [AND] cooperative [IMPLY] scared [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   versatile ⇒ scared
   careless ∧ powerful ⇒ straightforward
   innocent ⇒ cooperative
   anxious ∧ cooperative ⇒ frail
   straightforward ∧ frail ∧ careless ⇒ foolish
   scared ∧ foolish ⇒ wrong
",1,6
"Facts:  Alice is crowded [PERIOD] Alice is joyous [PERIOD] Alice is modern [PERIOD] Alice is pleasant [PERIOD] Alice is glamorous [PERIOD] Alice is shy [PERIOD] Alice is confused [PERIOD] Alice is naughty [PERIOD] Alice is jittery [PERIOD]
Rules:
ugly [AND] amused [IMPLY] jittery [PERIOD]
elated [IMPLY] broad-minded [PERIOD]
famous [AND] shy [AND] crowded [IMPLY] beautiful [PERIOD]
shiny [AND] glamorous [AND] amused [IMPLY] crowded [PERIOD]
versatile [AND] frail [IMPLY] spotless [PERIOD]
tense [IMPLY] broad-minded [PERIOD]
modern [AND] frail [AND] naughty [IMPLY] elated [PERIOD]
tense [IMPLY] ugly [PERIOD]
elated [AND] jittery [AND] helpless [IMPLY] broad-minded [PERIOD]
shy [IMPLY] versatile [PERIOD]
naughty [AND] pleasant [IMPLY] dishonest [PERIOD]
easy [AND] crowded [AND] beautiful [IMPLY] ugly [PERIOD]
inquisitive [IMPLY] powerful [PERIOD]
inquisitive [IMPLY] beautiful [PERIOD]
friendly [IMPLY] confused [PERIOD]
modern [IMPLY] easy [PERIOD]
beautiful [IMPLY] shy [PERIOD]
outrageous [AND] frail [IMPLY] spotless [PERIOD]
ugly [AND] frail [IMPLY] naughty [PERIOD]
jittery [AND] inquisitive [IMPLY] helpless [PERIOD]
ugly [AND] powerful [AND] friendly [IMPLY] shy [PERIOD]
outrageous [AND] ugly [IMPLY] powerful [PERIOD]
modern [IMPLY] glamorous [PERIOD]
crowded [AND] inquisitive [IMPLY] dishonest [PERIOD]
versatile [AND] amused [AND] shy [IMPLY] jittery [PERIOD]
easy [AND] pleasant [AND] confused [IMPLY] famous [PERIOD]
helpless [AND] shy [AND] joyous [IMPLY] friendly [PERIOD]
ugly [AND] amused [AND] shiny [IMPLY] jittery [PERIOD]
glamorous [IMPLY] elated [PERIOD]
modern [IMPLY] ugly [PERIOD]
amused [AND] inquisitive [IMPLY] naughty [PERIOD]
broad-minded [AND] crowded [IMPLY] outrageous [PERIOD]
naughty [IMPLY] frail [PERIOD]
broad-minded [AND] shiny [AND] modern [IMPLY] crowded [PERIOD]
glamorous [AND] crowded [IMPLY] amused [PERIOD]
friendly [AND] ugly [AND] confused [IMPLY] modern [PERIOD]
famous [AND] versatile [AND] powerful [IMPLY] joyous [PERIOD]
famous [AND] tense [AND] jittery [IMPLY] easy [PERIOD]
glamorous [AND] easy [AND] friendly [IMPLY] famous [PERIOD]
tense [IMPLY] outrageous [PERIOD]
famous [IMPLY] jittery [PERIOD]
dishonest [IMPLY] shiny [PERIOD]
broad-minded [AND] naughty [IMPLY] outrageous [PERIOD]
crowded [AND] helpless [IMPLY] inquisitive [PERIOD]
crowded [AND] outrageous [AND] helpless [IMPLY] naughty [PERIOD]
inquisitive [AND] modern [IMPLY] frail [PERIOD]
famous [AND] modern [AND] spotless [IMPLY] versatile [PERIOD]
powerful [AND] beautiful [IMPLY] shiny [PERIOD]
modern [AND] spotless [IMPLY] frail [PERIOD]
glamorous [IMPLY] jittery [PERIOD]
glamorous [AND] outrageous [IMPLY] ugly [PERIOD]
easy [AND] crowded [AND] elated [IMPLY] confused [PERIOD]
shy [IMPLY] broad-minded [PERIOD]
beautiful [AND] ugly [IMPLY] outrageous [PERIOD]
spotless [IMPLY] powerful [PERIOD]
ugly [AND] joyous [IMPLY] helpless [PERIOD]
friendly [IMPLY] glamorous [PERIOD]
tense [AND] inquisitive [AND] jittery [IMPLY] broad-minded [PERIOD]
shy [AND] naughty [IMPLY] friendly [PERIOD]
helpless [AND] friendly [AND] crowded [IMPLY] spotless [PERIOD]
pleasant [AND] frail [IMPLY] easy [PERIOD]
helpless [IMPLY] crowded [PERIOD]
dishonest [AND] amused [IMPLY] inquisitive [PERIOD]
amused [IMPLY] broad-minded [PERIOD]
glamorous [AND] shy [IMPLY] amused [PERIOD]
crowded [AND] inquisitive [IMPLY] spotless [PERIOD]
inquisitive [IMPLY] confused [PERIOD]
tense [AND] friendly [AND] pleasant [IMPLY] joyous [PERIOD]
friendly [AND] powerful [IMPLY] outrageous [PERIOD]
friendly [AND] easy [IMPLY] crowded [PERIOD]
beautiful [AND] shiny [IMPLY] outrageous [PERIOD]
pleasant [IMPLY] shy [PERIOD]
amused [IMPLY] pleasant [PERIOD]
outrageous [AND] modern [IMPLY] easy [PERIOD]
broad-minded [AND] friendly [AND] outrageous [IMPLY] confused [PERIOD]
dishonest [AND] shiny [AND] crowded [IMPLY] amused [PERIOD]
dishonest [IMPLY] tense [PERIOD]
tense [AND] outrageous [AND] glamorous [IMPLY] confused [PERIOD]
shiny [AND] elated [AND] helpless [IMPLY] crowded [PERIOD]
joyous [AND] shiny [IMPLY] tense [PERIOD]
helpless [AND] shiny [IMPLY] inquisitive [PERIOD]
elated [AND] amused [AND] pleasant [IMPLY] crowded [PERIOD]
outrageous [IMPLY] shy [PERIOD]
versatile [AND] joyous [AND] shy [IMPLY] frail [PERIOD]
naughty [AND] elated [AND] confused [IMPLY] tense [PERIOD]
friendly [AND] elated [IMPLY] pleasant [PERIOD]
easy [IMPLY] powerful [PERIOD]
crowded [AND] joyous [AND] pleasant [IMPLY] outrageous [PERIOD]
amused [AND] shiny [AND] outrageous [IMPLY] crowded [PERIOD]
spotless [AND] ugly [AND] elated [IMPLY] naughty [PERIOD]
joyous [AND] elated [IMPLY] ugly [PERIOD]
shiny [IMPLY] friendly [PERIOD]
shy [AND] ugly [AND] amused [IMPLY] shiny [PERIOD]
shy [AND] dishonest [IMPLY] shiny [PERIOD]
broad-minded [AND] spotless [IMPLY] glamorous [PERIOD]
modern [AND] naughty [IMPLY] shiny [PERIOD]
versatile [AND] amused [AND] crowded [IMPLY] helpless [PERIOD]
dishonest [AND] powerful [AND] inquisitive [IMPLY] frail [PERIOD]
elated [AND] modern [AND] shiny [IMPLY] easy [PERIOD]
confused [AND] powerful [IMPLY] easy [PERIOD]
inquisitive [IMPLY] outrageous [PERIOD]
beautiful [IMPLY] helpless [PERIOD]
dishonest [AND] easy [AND] friendly [IMPLY] broad-minded [PERIOD]
amused [AND] inquisitive [IMPLY] shiny [PERIOD]
modern [AND] pleasant [IMPLY] broad-minded [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   modern ⇒ easy
   easy ∧ pleasant ∧ confused ⇒ famous
",1,2
"Facts:  Alice is talkative [PERIOD] Alice is excited [PERIOD] Alice is sincere [PERIOD] Alice is loving [PERIOD] Alice is unpleasant [PERIOD] Alice is combative [PERIOD] Alice is average [PERIOD] Alice is inquisitive [PERIOD] Alice is outrageous [PERIOD]
Rules:
combative [IMPLY] outrageous [PERIOD]
outrageous [AND] average [AND] curious [IMPLY] combative [PERIOD]
inquisitive [AND] average [IMPLY] outrageous [PERIOD]
troubled [AND] tender [AND] loving [IMPLY] clumsy [PERIOD]
sincere [AND] unpleasant [IMPLY] combative [PERIOD]
clumsy [AND] outrageous [IMPLY] tender [PERIOD]
combative [AND] excited [IMPLY] stupid [PERIOD]
clumsy [IMPLY] excited [PERIOD]
combative [AND] sincere [IMPLY] average [PERIOD]
unpleasant [AND] curious [AND] clumsy [IMPLY] average [PERIOD]
unpleasant [AND] troubled [IMPLY] stupid [PERIOD]
combative [IMPLY] curious [PERIOD]
inquisitive [AND] talkative [AND] stupid [IMPLY] careless [PERIOD]
loving [AND] stupid [AND] unpleasant [IMPLY] combative [PERIOD]
combative [AND] excited [AND] careless [IMPLY] talkative [PERIOD]
average [IMPLY] excited [PERIOD]
inquisitive [AND] comfortable [AND] clumsy [IMPLY] tender [PERIOD]
sincere [IMPLY] unpleasant [PERIOD]
curious [IMPLY] excited [PERIOD]
curious [AND] stupid [IMPLY] outrageous [PERIOD]
average [AND] inquisitive [IMPLY] excited [PERIOD]
loving [AND] outrageous [IMPLY] excited [PERIOD]
outrageous [IMPLY] tender [PERIOD]
sincere [IMPLY] talkative [PERIOD]
sincere [AND] tender [AND] average [IMPLY] clumsy [PERIOD]
inquisitive [IMPLY] clumsy [PERIOD]
curious [AND] careless [AND] comfortable [IMPLY] inquisitive [PERIOD]
sincere [AND] comfortable [IMPLY] clumsy [PERIOD]
tender [AND] clumsy [IMPLY] curious [PERIOD]
comfortable [IMPLY] sincere [PERIOD]
loving [AND] curious [IMPLY] stupid [PERIOD]
excited [IMPLY] loving [PERIOD]
sincere [AND] careless [IMPLY] troubled [PERIOD]
careless [AND] average [AND] loving [IMPLY] clumsy [PERIOD]
clumsy [AND] tender [IMPLY] average [PERIOD]
outrageous [IMPLY] excited [PERIOD]
troubled [AND] outrageous [IMPLY] stupid [PERIOD]
stupid [IMPLY] comfortable [PERIOD]
tender [AND] curious [AND] talkative [IMPLY] sincere [PERIOD]
combative [IMPLY] careless [PERIOD]
average [AND] talkative [IMPLY] comfortable [PERIOD]
talkative [AND] careless [IMPLY] unpleasant [PERIOD]
inquisitive [IMPLY] outrageous [PERIOD]
unpleasant [IMPLY] troubled [PERIOD]
tender [AND] outrageous [AND] loving [IMPLY] talkative [PERIOD]
average [IMPLY] careless [PERIOD]
loving [IMPLY] average [PERIOD]
average [AND] stupid [IMPLY] troubled [PERIOD]
sincere [IMPLY] combative [PERIOD]
comfortable [IMPLY] outrageous [PERIOD]
combative [AND] excited [AND] comfortable [IMPLY] sincere [PERIOD]
stupid [AND] troubled [IMPLY] curious [PERIOD]
inquisitive [AND] sincere [AND] unpleasant [IMPLY] outrageous [PERIOD]
curious [IMPLY] stupid [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is witty [PERIOD] Alice is intellectual [PERIOD] Alice is inexpensive [PERIOD] Alice is easy [PERIOD] Alice is vivacious [PERIOD] Alice is light [PERIOD] Alice is ugliest [PERIOD]
Rules:
light [IMPLY] wandering [PERIOD]
exuberant [AND] charming [AND] tense [IMPLY] thoughtful [PERIOD]
mean [AND] outstanding [AND] muddy [IMPLY] unpleasant [PERIOD]
fearless [AND] combative [AND] wandering [IMPLY] light [PERIOD]
charming [IMPLY] perfect [PERIOD]
modern [AND] fearless [IMPLY] wrong [PERIOD]
light [AND] tense [IMPLY] clean [PERIOD]
outstanding [IMPLY] intellectual [PERIOD]
tense [IMPLY] witty [PERIOD]
combative [AND] wandering [AND] inexpensive [IMPLY] calm [PERIOD]
alert [AND] intellectual [AND] vivacious [IMPLY] rational [PERIOD]
clean [IMPLY] impatient [PERIOD]
fragile [AND] alert [AND] vivacious [IMPLY] mean [PERIOD]
exuberant [AND] alert [AND] clean [IMPLY] intellectual [PERIOD]
outstanding [AND] fearless [IMPLY] inexpensive [PERIOD]
fragile [IMPLY] alert [PERIOD]
fragile [IMPLY] inexpensive [PERIOD]
thoughtful [AND] wandering [IMPLY] intellectual [PERIOD]
worried [AND] calm [IMPLY] mean [PERIOD]
vivacious [AND] thoughtful [AND] rational [IMPLY] clean [PERIOD]
easy [IMPLY] outstanding [PERIOD]
outstanding [AND] fearless [IMPLY] modern [PERIOD]
vivacious [AND] rational [AND] exuberant [IMPLY] perfect [PERIOD]
clean [AND] inexpensive [AND] worried [IMPLY] wandering [PERIOD]
light [AND] courageous [AND] inexpensive [IMPLY] worried [PERIOD]
muddy [AND] vivacious [AND] intellectual [IMPLY] wrong [PERIOD]
unpleasant [AND] calm [AND] muddy [IMPLY] worried [PERIOD]
exuberant [AND] fragile [AND] silly [IMPLY] witty [PERIOD]
light [AND] thoughtful [AND] alert [IMPLY] outstanding [PERIOD]
witty [AND] light [IMPLY] vivacious [PERIOD]
charming [AND] silly [IMPLY] easy [PERIOD]
easy [AND] rational [AND] combative [IMPLY] wrong [PERIOD]
thoughtful [AND] clean [IMPLY] rational [PERIOD]
worried [IMPLY] charming [PERIOD]
impatient [AND] muddy [IMPLY] worried [PERIOD]
silly [AND] outstanding [AND] tense [IMPLY] intellectual [PERIOD]
impatient [IMPLY] modern [PERIOD]
silly [AND] muddy [IMPLY] impatient [PERIOD]
muddy [AND] courageous [AND] charming [IMPLY] combative [PERIOD]
rational [AND] calm [AND] wandering [IMPLY] outstanding [PERIOD]
fragile [AND] muddy [AND] exuberant [IMPLY] perfect [PERIOD]
light [IMPLY] mean [PERIOD]
alert [AND] mean [AND] calm [IMPLY] fearless [PERIOD]
vivacious [AND] fragile [IMPLY] unpleasant [PERIOD]
wandering [AND] exuberant [AND] fragile [IMPLY] impatient [PERIOD]
calm [AND] fragile [AND] wandering [IMPLY] thoughtful [PERIOD]
courageous [AND] mean [IMPLY] fragile [PERIOD]
rational [IMPLY] combative [PERIOD]
intellectual [IMPLY] inexpensive [PERIOD]
courageous [IMPLY] wrong [PERIOD]
exuberant [AND] vivacious [AND] easy [IMPLY] light [PERIOD]
thoughtful [IMPLY] courageous [PERIOD]
muddy [AND] outstanding [AND] mean [IMPLY] rational [PERIOD]
light [AND] ugliest [IMPLY] vivacious [PERIOD]
worried [IMPLY] rational [PERIOD]
worried [AND] muddy [IMPLY] charming [PERIOD]
silly [AND] tense [IMPLY] perfect [PERIOD]
light [IMPLY] witty [PERIOD]
outstanding [AND] combative [IMPLY] mean [PERIOD]
easy [AND] thoughtful [AND] fearless [IMPLY] fragile [PERIOD]
wandering [IMPLY] muddy [PERIOD]
outstanding [AND] intellectual [IMPLY] inexpensive [PERIOD]
ugliest [AND] wrong [IMPLY] vivacious [PERIOD]
witty [AND] alert [IMPLY] silly [PERIOD]
modern [AND] tense [IMPLY] impatient [PERIOD]
wrong [AND] mean [IMPLY] calm [PERIOD]
wandering [AND] fearless [AND] tense [IMPLY] fragile [PERIOD]
vivacious [AND] mean [IMPLY] unpleasant [PERIOD]
courageous [IMPLY] unpleasant [PERIOD]
ugliest [AND] wrong [IMPLY] perfect [PERIOD]
unpleasant [IMPLY] silly [PERIOD]
charming [IMPLY] impatient [PERIOD]
ugliest [AND] light [AND] modern [IMPLY] alert [PERIOD]
impatient [AND] exuberant [AND] clean [IMPLY] muddy [PERIOD]
witty [AND] thoughtful [AND] silly [IMPLY] modern [PERIOD]
rational [AND] calm [IMPLY] muddy [PERIOD]
vivacious [AND] calm [IMPLY] courageous [PERIOD]
light [IMPLY] thoughtful [PERIOD]
mean [AND] muddy [AND] courageous [IMPLY] fearless [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   light ⇒ thoughtful
   thoughtful ⇒ courageous
   courageous ⇒ wrong
   light ⇒ mean
   wrong ∧ mean ⇒ calm
",1,5
"Facts: 
Rules:
intellectual [AND] tired [IMPLY] cruel [PERIOD]
hurt [IMPLY] intellectual [PERIOD]
precious [IMPLY] curious [PERIOD]
gleaming [AND] smart [AND] confused [IMPLY] bright [PERIOD]
gleaming [IMPLY] worrisome [PERIOD]
gleaming [IMPLY] cruel [PERIOD]
worried [AND] bright [IMPLY] hurt [PERIOD]
bright [IMPLY] precious [PERIOD]
gorgeous [IMPLY] attentive [PERIOD]
broad-minded [AND] attentive [AND] precious [IMPLY] tired [PERIOD]
cruel [AND] gleaming [AND] bright [IMPLY] worrisome [PERIOD]
worrisome [AND] hurt [IMPLY] bright [PERIOD]
worrisome [AND] curious [AND] ugliest [IMPLY] intellectual [PERIOD]
bright [AND] gorgeous [IMPLY] attentive [PERIOD]
curious [AND] smart [AND] ugliest [IMPLY] intellectual [PERIOD]
hurt [AND] cruel [AND] bright [IMPLY] homely [PERIOD]
intellectual [AND] cruel [IMPLY] attentive [PERIOD]
confused [IMPLY] worrisome [PERIOD]
worrisome [AND] homely [IMPLY] intellectual [PERIOD]
cruel [AND] broad-minded [AND] gleaming [IMPLY] hurt [PERIOD]
worrisome [AND] worried [IMPLY] intellectual [PERIOD]
gleaming [AND] precious [IMPLY] curious [PERIOD]
cruel [AND] broad-minded [AND] gleaming [IMPLY] intellectual [PERIOD]
curious [AND] tired [AND] worried [IMPLY] broad-minded [PERIOD]
intellectual [AND] confused [AND] broad-minded [IMPLY] bright [PERIOD]
smart [AND] cruel [IMPLY] gleaming [PERIOD]
gorgeous [AND] homely [IMPLY] broad-minded [PERIOD]
smart [AND] intellectual [IMPLY] worrisome [PERIOD]
intellectual [AND] worrisome [IMPLY] attentive [PERIOD]
intellectual [AND] ugliest [AND] smart [IMPLY] attentive [PERIOD]
precious [AND] curious [AND] homely [IMPLY] bright [PERIOD]
attentive [IMPLY] smart [PERIOD]
ugliest [AND] curious [AND] cruel [IMPLY] tired [PERIOD]
broad-minded [IMPLY] ugliest [PERIOD]
cruel [AND] smart [AND] ugliest [IMPLY] homely [PERIOD]
intellectual [AND] precious [AND] gorgeous [IMPLY] curious [PERIOD]
precious [AND] attentive [IMPLY] intellectual [PERIOD]
worrisome [AND] precious [IMPLY] broad-minded [PERIOD]
cruel [IMPLY] attentive [PERIOD]
gleaming [AND] gorgeous [IMPLY] bright [PERIOD]
homely [AND] confused [AND] broad-minded [IMPLY] bright [PERIOD]
attentive [IMPLY] precious [PERIOD]
ugliest [AND] tired [IMPLY] gorgeous [PERIOD]
homely [AND] ugliest [AND] precious [IMPLY] bright [PERIOD]
hurt [AND] intellectual [AND] attentive [IMPLY] bright [PERIOD]
tired [IMPLY] gorgeous [PERIOD]
worried [AND] worrisome [IMPLY] ugliest [PERIOD]
tired [AND] gleaming [AND] cruel [IMPLY] worried [PERIOD]
precious [AND] bright [AND] cruel [IMPLY] gorgeous [PERIOD]
homely [IMPLY] worried [PERIOD]
worrisome [IMPLY] ugliest [PERIOD]
precious [AND] worrisome [IMPLY] gorgeous [PERIOD]
attentive [AND] broad-minded [AND] intellectual [IMPLY] worried [PERIOD]
cruel [AND] worried [IMPLY] homely [PERIOD]
ugliest [AND] smart [AND] gorgeous [IMPLY] cruel [PERIOD]
attentive [IMPLY] worrisome [PERIOD]
attentive [AND] gleaming [IMPLY] smart [PERIOD]
worrisome [AND] smart [IMPLY] worried [PERIOD]
cruel [AND] ugliest [IMPLY] gleaming [PERIOD]
tired [AND] curious [IMPLY] ugliest [PERIOD]
cruel [AND] precious [AND] curious [IMPLY] broad-minded [PERIOD]
smart [AND] gorgeous [AND] worrisome [IMPLY] ugliest [PERIOD]
Query: Alice is curious [PERIOD]","Proof chain:
   Cannot apply rule “precious ⇒ curious” because missing: precious.
   Cannot apply rule “gleaming ∧ precious ⇒ curious” because missing: gleaming, precious.
   Cannot apply rule “intellectual ∧ precious ∧ gorgeous ⇒ curious” because missing: intellectual, precious, gorgeous.
",0,3
"Facts:  Alice is victorious [PERIOD] Alice is troubled [PERIOD] Alice is curious [PERIOD] Alice is helpful [PERIOD] Alice is ugliest [PERIOD] Alice is smart [PERIOD] Alice is cruel [PERIOD] Alice is stupid [PERIOD]
Rules:
troubled [IMPLY] long [PERIOD]
curious [AND] spotless [IMPLY] stupid [PERIOD]
pessimistic [AND] curious [AND] spotless [IMPLY] supportive [PERIOD]
long [IMPLY] stupid [PERIOD]
foolish [AND] pessimistic [IMPLY] long [PERIOD]
troubled [IMPLY] easy [PERIOD]
foolish [AND] pessimistic [AND] long [IMPLY] helpful [PERIOD]
spotless [IMPLY] cruel [PERIOD]
stupid [IMPLY] foolish [PERIOD]
troubled [AND] curious [AND] easy [IMPLY] pessimistic [PERIOD]
troubled [AND] supportive [AND] cruel [IMPLY] ugliest [PERIOD]
curious [AND] cruel [AND] helpful [IMPLY] stupid [PERIOD]
spotless [AND] pessimistic [AND] foolish [IMPLY] long [PERIOD]
long [AND] easy [IMPLY] spotless [PERIOD]
pessimistic [AND] supportive [IMPLY] helpful [PERIOD]
ugliest [IMPLY] smart [PERIOD]
curious [AND] cruel [AND] easy [IMPLY] smart [PERIOD]
supportive [AND] cruel [IMPLY] victorious [PERIOD]
foolish [AND] smart [AND] curious [IMPLY] long [PERIOD]
Query: Alice is supportive [PERIOD]","Proof chain:
   troubled ⇒ easy
   troubled ∧ curious ∧ easy ⇒ pessimistic
   troubled ⇒ long
   troubled ⇒ easy
   long ∧ easy ⇒ spotless
   pessimistic ∧ curious ∧ spotless ⇒ supportive
",1,6
"Facts:  Alice is messy [PERIOD] Alice is strange [PERIOD] Alice is combative [PERIOD] Alice is outstanding [PERIOD] Alice is mean [PERIOD] Alice is proud [PERIOD]
Rules:
hypocritical [AND] anxious [AND] combative [IMPLY] busy [PERIOD]
scared [AND] dull [IMPLY] combative [PERIOD]
proud [AND] weary [IMPLY] scared [PERIOD]
busy [AND] weary [AND] mean [IMPLY] proud [PERIOD]
hypocritical [IMPLY] mean [PERIOD]
hypocritical [IMPLY] dull [PERIOD]
versatile [IMPLY] dull [PERIOD]
scared [AND] outstanding [IMPLY] messy [PERIOD]
old-fashioned [AND] weary [AND] versatile [IMPLY] dull [PERIOD]
curious [AND] busy [IMPLY] anxious [PERIOD]
messy [IMPLY] strange [PERIOD]
curious [AND] anxious [AND] outstanding [IMPLY] strange [PERIOD]
curious [IMPLY] proud [PERIOD]
dull [AND] fancy [AND] weary [IMPLY] muddy [PERIOD]
weary [AND] scared [IMPLY] old-fashioned [PERIOD]
proud [AND] anxious [IMPLY] strange [PERIOD]
anxious [AND] old-fashioned [AND] muddy [IMPLY] strange [PERIOD]
dull [AND] combative [IMPLY] anxious [PERIOD]
mean [AND] fancy [IMPLY] messy [PERIOD]
versatile [IMPLY] mean [PERIOD]
mean [AND] stubborn [AND] messy [IMPLY] combative [PERIOD]
combative [AND] fancy [IMPLY] diplomatic [PERIOD]
hypocritical [AND] muddy [IMPLY] diplomatic [PERIOD]
curious [AND] hypocritical [AND] strange [IMPLY] scared [PERIOD]
muddy [AND] mean [IMPLY] proud [PERIOD]
muddy [AND] stubborn [AND] old-fashioned [IMPLY] strange [PERIOD]
combative [IMPLY] curious [PERIOD]
old-fashioned [IMPLY] versatile [PERIOD]
anxious [AND] versatile [AND] weary [IMPLY] fancy [PERIOD]
proud [IMPLY] curious [PERIOD]
anxious [IMPLY] frightened [PERIOD]
mean [AND] diplomatic [IMPLY] stubborn [PERIOD]
outstanding [AND] messy [AND] busy [IMPLY] dull [PERIOD]
fancy [AND] dull [IMPLY] stubborn [PERIOD]
busy [AND] messy [IMPLY] scared [PERIOD]
weary [AND] versatile [AND] anxious [IMPLY] busy [PERIOD]
anxious [IMPLY] old-fashioned [PERIOD]
muddy [AND] outstanding [AND] curious [IMPLY] mean [PERIOD]
hypocritical [IMPLY] scared [PERIOD]
diplomatic [AND] proud [IMPLY] strange [PERIOD]
fancy [AND] dull [AND] outstanding [IMPLY] versatile [PERIOD]
muddy [IMPLY] diplomatic [PERIOD]
mean [IMPLY] combative [PERIOD]
strange [AND] diplomatic [AND] curious [IMPLY] versatile [PERIOD]
proud [IMPLY] anxious [PERIOD]
weary [AND] strange [IMPLY] muddy [PERIOD]
proud [IMPLY] strange [PERIOD]
busy [IMPLY] messy [PERIOD]
proud [AND] muddy [AND] hypocritical [IMPLY] fancy [PERIOD]
dull [AND] stubborn [AND] old-fashioned [IMPLY] frightened [PERIOD]
hypocritical [AND] diplomatic [AND] muddy [IMPLY] strange [PERIOD]
frightened [AND] weary [IMPLY] strange [PERIOD]
hypocritical [AND] curious [IMPLY] strange [PERIOD]
dull [IMPLY] anxious [PERIOD]
old-fashioned [AND] weary [IMPLY] dull [PERIOD]
diplomatic [IMPLY] anxious [PERIOD]
muddy [AND] scared [IMPLY] versatile [PERIOD]
weary [IMPLY] dull [PERIOD]
proud [AND] messy [AND] versatile [IMPLY] strange [PERIOD]
anxious [AND] strange [IMPLY] weary [PERIOD]
scared [IMPLY] stubborn [PERIOD]
weary [AND] muddy [AND] hypocritical [IMPLY] versatile [PERIOD]
weary [IMPLY] busy [PERIOD]
curious [AND] busy [IMPLY] mean [PERIOD]
anxious [IMPLY] combative [PERIOD]
curious [AND] fancy [AND] anxious [IMPLY] muddy [PERIOD]
fancy [AND] versatile [AND] muddy [IMPLY] old-fashioned [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   proud ⇒ anxious
   proud ⇒ anxious
   anxious ⇒ old-fashioned
   old-fashioned ⇒ versatile
   proud ⇒ anxious
   anxious ∧ strange ⇒ weary
   anxious ∧ versatile ∧ weary ⇒ fancy
",1,7
"Facts:  Alice is light [PERIOD] Alice is old-fashioned [PERIOD] Alice is supportive [PERIOD] Alice is inquisitive [PERIOD] Alice is glamorous [PERIOD] Alice is foolish [PERIOD] Alice is fearless [PERIOD] Alice is bright [PERIOD]
Rules:
strange [AND] bright [IMPLY] perfect [PERIOD]
foolish [AND] fearless [AND] light [IMPLY] reserved [PERIOD]
perfect [AND] troubled [IMPLY] confident [PERIOD]
bright [AND] light [AND] troubled [IMPLY] glamorous [PERIOD]
old-fashioned [AND] bright [IMPLY] light [PERIOD]
supportive [AND] troubled [AND] light [IMPLY] reserved [PERIOD]
thoughtful [IMPLY] inquisitive [PERIOD]
light [AND] strange [IMPLY] reserved [PERIOD]
fearless [AND] troubled [IMPLY] perfect [PERIOD]
strange [IMPLY] fearless [PERIOD]
troubled [AND] confident [AND] perfect [IMPLY] supportive [PERIOD]
confident [IMPLY] uptight [PERIOD]
troubled [AND] reserved [AND] strange [IMPLY] light [PERIOD]
confident [AND] inquisitive [IMPLY] foolish [PERIOD]
thoughtful [AND] foolish [AND] troubled [IMPLY] reserved [PERIOD]
troubled [AND] old-fashioned [IMPLY] thoughtful [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “strange ∧ bright ⇒ perfect” because missing: strange.
   Cannot apply rule “fearless ∧ troubled ⇒ perfect” because missing: troubled.
",0,2
"Facts:  Alice is rational [PERIOD] Alice is helpful [PERIOD] Alice is comfortable [PERIOD] Alice is average [PERIOD] Alice is careless [PERIOD] Alice is diplomatic [PERIOD] Alice is naughty [PERIOD] Alice is aggressive [PERIOD] Alice is fragile [PERIOD] Alice is embarrassed [PERIOD] Alice is glamorous [PERIOD] Alice is elegant [PERIOD]
Rules:
glamorous [IMPLY] uptight [PERIOD]
muddy [AND] diplomatic [IMPLY] rational [PERIOD]
embarrassed [AND] elegant [AND] helpful [IMPLY] average [PERIOD]
uptight [IMPLY] helpful [PERIOD]
naughty [IMPLY] embarrassed [PERIOD]
embarrassed [AND] muddy [IMPLY] inquisitive [PERIOD]
muddy [IMPLY] average [PERIOD]
comfortable [AND] fragile [AND] glamorous [IMPLY] careless [PERIOD]
average [AND] aggressive [IMPLY] outstanding [PERIOD]
embarrassed [AND] inquisitive [AND] naughty [IMPLY] uptight [PERIOD]
comfortable [IMPLY] rational [PERIOD]
helpful [AND] fragile [IMPLY] glamorous [PERIOD]
careless [AND] muddy [AND] outstanding [IMPLY] aggressive [PERIOD]
average [AND] comfortable [AND] mean [IMPLY] outstanding [PERIOD]
glamorous [AND] rational [IMPLY] careless [PERIOD]
uptight [AND] outstanding [AND] naughty [IMPLY] average [PERIOD]
comfortable [IMPLY] uptight [PERIOD]
embarrassed [IMPLY] naughty [PERIOD]
rational [AND] outstanding [AND] uptight [IMPLY] diplomatic [PERIOD]
elegant [AND] uptight [AND] muddy [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] fragile [PERIOD]
elegant [AND] helpful [IMPLY] careless [PERIOD]
outstanding [AND] fragile [AND] naughty [IMPLY] mean [PERIOD]
outstanding [AND] naughty [AND] helpful [IMPLY] elegant [PERIOD]
average [AND] aggressive [AND] mean [IMPLY] careless [PERIOD]
comfortable [IMPLY] diplomatic [PERIOD]
careless [IMPLY] naughty [PERIOD]
naughty [AND] helpful [AND] muddy [IMPLY] average [PERIOD]
mean [AND] aggressive [AND] uptight [IMPLY] outstanding [PERIOD]
rational [IMPLY] mean [PERIOD]
elegant [AND] average [IMPLY] comfortable [PERIOD]
mean [AND] diplomatic [AND] muddy [IMPLY] rational [PERIOD]
elegant [AND] aggressive [IMPLY] embarrassed [PERIOD]
average [AND] rational [AND] comfortable [IMPLY] helpful [PERIOD]
aggressive [AND] fragile [IMPLY] careless [PERIOD]
aggressive [IMPLY] rational [PERIOD]
diplomatic [AND] elegant [AND] helpful [IMPLY] glamorous [PERIOD]
average [IMPLY] mean [PERIOD]
fragile [IMPLY] uptight [PERIOD]
outstanding [AND] uptight [AND] average [IMPLY] comfortable [PERIOD]
uptight [IMPLY] mean [PERIOD]
aggressive [AND] embarrassed [IMPLY] diplomatic [PERIOD]
inquisitive [AND] glamorous [AND] fragile [IMPLY] naughty [PERIOD]
muddy [AND] helpful [IMPLY] embarrassed [PERIOD]
muddy [AND] naughty [AND] outstanding [IMPLY] elegant [PERIOD]
diplomatic [AND] comfortable [AND] muddy [IMPLY] embarrassed [PERIOD]
mean [IMPLY] outstanding [PERIOD]
rational [AND] comfortable [AND] mean [IMPLY] uptight [PERIOD]
mean [AND] careless [IMPLY] muddy [PERIOD]
aggressive [IMPLY] comfortable [PERIOD]
fragile [AND] uptight [IMPLY] elegant [PERIOD]
aggressive [AND] glamorous [AND] diplomatic [IMPLY] mean [PERIOD]
mean [AND] helpful [IMPLY] naughty [PERIOD]
elegant [IMPLY] aggressive [PERIOD]
average [IMPLY] inquisitive [PERIOD]
glamorous [IMPLY] helpful [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   average ⇒ mean
   mean ∧ careless ⇒ muddy
",1,2
"Facts:  Alice is disgusted [PERIOD]
Rules:
attentive [AND] disgusted [AND] excited [IMPLY] amused [PERIOD]
disgusted [AND] amused [AND] attentive [IMPLY] excited [PERIOD]
loving [AND] disgusted [IMPLY] excited [PERIOD]
amused [AND] loving [AND] disgusted [IMPLY] attentive [PERIOD]
amused [AND] attentive [AND] loving [IMPLY] excited [PERIOD]
amused [AND] loving [AND] excited [IMPLY] attentive [PERIOD]
excited [AND] attentive [AND] loving [IMPLY] disgusted [PERIOD]
amused [AND] attentive [IMPLY] loving [PERIOD]
attentive [AND] disgusted [IMPLY] loving [PERIOD]
excited [IMPLY] amused [PERIOD]
disgusted [AND] excited [IMPLY] attentive [PERIOD]
excited [IMPLY] attentive [PERIOD]
excited [AND] amused [IMPLY] disgusted [PERIOD]
loving [IMPLY] attentive [PERIOD]
disgusted [AND] loving [IMPLY] attentive [PERIOD]
loving [AND] attentive [AND] excited [IMPLY] amused [PERIOD]
attentive [AND] disgusted [AND] excited [IMPLY] loving [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   Cannot apply rule “attentive ∧ disgusted ∧ excited ⇒ amused” because missing: attentive, excited.
   Cannot apply rule “excited ⇒ amused” because missing: excited.
   Cannot apply rule “loving ∧ attentive ∧ excited ⇒ amused” because missing: loving, attentive, excited.
",0,3
"Facts:  Alice is anxious [PERIOD] Alice is frail [PERIOD] Alice is pessimistic [PERIOD] Alice is stormy [PERIOD]
Rules:
victorious [AND] serious [AND] curious [IMPLY] zealous [PERIOD]
curious [IMPLY] wide-eyed [PERIOD]
pessimistic [AND] talkative [AND] broad-minded [IMPLY] tense [PERIOD]
curious [AND] victorious [IMPLY] stormy [PERIOD]
famous [IMPLY] curious [PERIOD]
pessimistic [AND] serious [AND] victorious [IMPLY] nervous [PERIOD]
pessimistic [AND] zealous [AND] mysterious [IMPLY] tense [PERIOD]
exuberant [AND] condemned [AND] charming [IMPLY] serious [PERIOD]
victorious [AND] famous [IMPLY] frail [PERIOD]
zealous [AND] pessimistic [IMPLY] exuberant [PERIOD]
zealous [AND] polite [IMPLY] mysterious [PERIOD]
zealous [AND] victorious [AND] nervous [IMPLY] polite [PERIOD]
serious [AND] careless [AND] charming [IMPLY] polite [PERIOD]
charming [AND] broad-minded [IMPLY] exuberant [PERIOD]
mysterious [AND] exuberant [AND] broad-minded [IMPLY] wide-eyed [PERIOD]
frail [IMPLY] serious [PERIOD]
exuberant [IMPLY] charming [PERIOD]
tense [AND] victorious [IMPLY] frail [PERIOD]
exuberant [IMPLY] serious [PERIOD]
curious [IMPLY] zealous [PERIOD]
famous [AND] broad-minded [IMPLY] curious [PERIOD]
pessimistic [AND] sincere [IMPLY] tense [PERIOD]
anxious [IMPLY] stormy [PERIOD]
wide-eyed [AND] careless [IMPLY] nervous [PERIOD]
long [IMPLY] condemned [PERIOD]
charming [IMPLY] exuberant [PERIOD]
mysterious [IMPLY] broad-minded [PERIOD]
condemned [AND] talkative [IMPLY] stormy [PERIOD]
versatile [IMPLY] famous [PERIOD]
broad-minded [AND] nervous [AND] anxious [IMPLY] curious [PERIOD]
pessimistic [AND] exuberant [IMPLY] famous [PERIOD]
frail [IMPLY] pessimistic [PERIOD]
stormy [IMPLY] versatile [PERIOD]
frail [AND] careless [IMPLY] long [PERIOD]
pessimistic [AND] zealous [AND] victorious [IMPLY] careless [PERIOD]
zealous [AND] versatile [AND] victorious [IMPLY] curious [PERIOD]
careless [IMPLY] anxious [PERIOD]
sincere [IMPLY] broad-minded [PERIOD]
serious [AND] long [IMPLY] broad-minded [PERIOD]
stormy [AND] mysterious [IMPLY] pessimistic [PERIOD]
famous [AND] pessimistic [IMPLY] frail [PERIOD]
charming [AND] mysterious [AND] anxious [IMPLY] condemned [PERIOD]
exuberant [IMPLY] long [PERIOD]
anxious [AND] long [AND] charming [IMPLY] sincere [PERIOD]
polite [IMPLY] charming [PERIOD]
nervous [AND] zealous [IMPLY] wide-eyed [PERIOD]
versatile [AND] frail [AND] victorious [IMPLY] talkative [PERIOD]
pessimistic [IMPLY] condemned [PERIOD]
charming [AND] broad-minded [IMPLY] anxious [PERIOD]
nervous [AND] mysterious [AND] frail [IMPLY] tense [PERIOD]
anxious [AND] versatile [AND] long [IMPLY] careless [PERIOD]
victorious [AND] polite [AND] versatile [IMPLY] famous [PERIOD]
long [IMPLY] anxious [PERIOD]
frail [AND] mysterious [IMPLY] serious [PERIOD]
broad-minded [AND] serious [IMPLY] tense [PERIOD]
Query: Alice is long [PERIOD]","Proof chain:
   stormy ⇒ versatile
   versatile ⇒ famous
   famous ⇒ curious
   curious ⇒ zealous
   zealous ∧ pessimistic ⇒ exuberant
   exuberant ⇒ long
",1,6
"Facts:  Alice is victorious [PERIOD] Alice is perfect [PERIOD] Alice is dishonest [PERIOD] Alice is inquisitive [PERIOD] Alice is fragile [PERIOD] Alice is pessimistic [PERIOD] Alice is clean [PERIOD] Alice is comfortable [PERIOD]
Rules:
strange [IMPLY] weary [PERIOD]
powerful [IMPLY] bossy [PERIOD]
fine [AND] shy [AND] strange [IMPLY] pessimistic [PERIOD]
tender [AND] easy [AND] serious [IMPLY] frightened [PERIOD]
worrisome [AND] fragile [IMPLY] pessimistic [PERIOD]
clean [AND] fine [IMPLY] bossy [PERIOD]
clean [AND] shy [IMPLY] thoughtless [PERIOD]
tired [AND] thoughtless [AND] outrageous [IMPLY] uptight [PERIOD]
outrageous [AND] uptight [IMPLY] tender [PERIOD]
frightened [IMPLY] victorious [PERIOD]
tired [AND] clean [IMPLY] strange [PERIOD]
outrageous [AND] thoughtless [AND] frail [IMPLY] clean [PERIOD]
fine [IMPLY] outrageous [PERIOD]
weary [IMPLY] tender [PERIOD]
serious [IMPLY] shy [PERIOD]
frightened [AND] strange [IMPLY] frantic [PERIOD]
fine [AND] thoughtless [AND] uptight [IMPLY] perfect [PERIOD]
shy [IMPLY] easy [PERIOD]
thoughtless [IMPLY] tired [PERIOD]
frightened [IMPLY] pessimistic [PERIOD]
thoughtful [AND] uptight [AND] bossy [IMPLY] dishonest [PERIOD]
outrageous [AND] powerful [AND] frail [IMPLY] fragile [PERIOD]
thoughtless [AND] tired [IMPLY] strange [PERIOD]
uptight [IMPLY] inquisitive [PERIOD]
tired [IMPLY] easy [PERIOD]
worrisome [AND] tired [IMPLY] fine [PERIOD]
serious [AND] dishonest [AND] tender [IMPLY] frightened [PERIOD]
frightened [AND] tender [AND] perfect [IMPLY] weary [PERIOD]
frightened [AND] strange [AND] serious [IMPLY] uptight [PERIOD]
dishonest [AND] frantic [AND] tender [IMPLY] uptight [PERIOD]
thoughtless [AND] embarrassed [AND] frail [IMPLY] frantic [PERIOD]
worrisome [AND] strange [IMPLY] pessimistic [PERIOD]
worried [AND] thoughtful [AND] powerful [IMPLY] frantic [PERIOD]
serious [AND] thoughtful [AND] shy [IMPLY] clean [PERIOD]
fragile [AND] pessimistic [AND] powerful [IMPLY] tender [PERIOD]
weary [AND] outrageous [AND] inquisitive [IMPLY] comfortable [PERIOD]
frightened [AND] fragile [AND] thoughtless [IMPLY] clean [PERIOD]
worrisome [AND] weary [AND] clean [IMPLY] perfect [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is elated [PERIOD] Alice is attentive [PERIOD] Alice is dull [PERIOD]
Rules:
clean [AND] smart [IMPLY] shy [PERIOD]
muddy [IMPLY] unpleasant [PERIOD]
attentive [AND] elegant [IMPLY] impatient [PERIOD]
impatient [AND] elated [AND] tidy [IMPLY] muddy [PERIOD]
unpleasant [AND] impatient [IMPLY] frail [PERIOD]
precious [AND] rude [AND] sincere [IMPLY] busy [PERIOD]
clean [AND] impatient [IMPLY] stubborn [PERIOD]
smart [IMPLY] stubborn [PERIOD]
clean [AND] dull [AND] mean [IMPLY] tidy [PERIOD]
tidy [IMPLY] frail [PERIOD]
attentive [IMPLY] rude [PERIOD]
elated [AND] dull [IMPLY] zealous [PERIOD]
muddy [IMPLY] wrong [PERIOD]
stubborn [IMPLY] stupid [PERIOD]
easy [IMPLY] stupid [PERIOD]
beautiful [AND] light [IMPLY] smart [PERIOD]
stupid [AND] elegant [AND] frantic [IMPLY] precious [PERIOD]
stubborn [IMPLY] beautiful [PERIOD]
mean [AND] clean [AND] elated [IMPLY] elegant [PERIOD]
clean [IMPLY] muddy [PERIOD]
unpleasant [AND] sincere [IMPLY] charming [PERIOD]
wandering [AND] dull [AND] stupid [IMPLY] curious [PERIOD]
charming [AND] impatient [IMPLY] frail [PERIOD]
light [AND] wrong [IMPLY] elegant [PERIOD]
wrong [AND] blushing [AND] dull [IMPLY] curious [PERIOD]
tidy [IMPLY] shy [PERIOD]
elegant [AND] charming [AND] unpleasant [IMPLY] messy [PERIOD]
precious [AND] attentive [AND] easy [IMPLY] busy [PERIOD]
sincere [AND] charming [AND] frail [IMPLY] busy [PERIOD]
dull [AND] smart [IMPLY] rude [PERIOD]
impatient [IMPLY] stubborn [PERIOD]
beautiful [AND] unpleasant [IMPLY] elated [PERIOD]
busy [AND] muddy [IMPLY] elegant [PERIOD]
mean [AND] elegant [AND] light [IMPLY] precious [PERIOD]
wrong [AND] impatient [AND] elated [IMPLY] wandering [PERIOD]
zealous [IMPLY] mean [PERIOD]
beautiful [IMPLY] tidy [PERIOD]
stubborn [AND] muddy [AND] smart [IMPLY] shy [PERIOD]
stupid [AND] attentive [IMPLY] impatient [PERIOD]
blushing [IMPLY] stubborn [PERIOD]
elegant [AND] dull [AND] easy [IMPLY] precious [PERIOD]
light [AND] busy [AND] clean [IMPLY] smart [PERIOD]
light [AND] blushing [AND] impatient [IMPLY] curious [PERIOD]
charming [AND] light [IMPLY] zealous [PERIOD]
elegant [IMPLY] beautiful [PERIOD]
wrong [AND] unpleasant [IMPLY] messy [PERIOD]
wrong [IMPLY] frail [PERIOD]
mean [AND] dull [AND] muddy [IMPLY] tidy [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
   Cannot apply rule “stupid ∧ elegant ∧ frantic ⇒ precious” because missing: stupid, elegant, frantic.
   elated ∧ dull ⇒ zealous
   zealous ⇒ mean
   Cannot apply rule “mean ∧ elegant ∧ light ⇒ precious” because missing: elegant, light.
   Cannot apply rule “elegant ∧ dull ∧ easy ⇒ precious” because missing: elegant, easy.
",0,5
"Facts:  Alice is anxious [PERIOD] Alice is frail [PERIOD] Alice is curious [PERIOD] Alice is tidy [PERIOD]
Rules:
victorious [AND] confused [IMPLY] ambitious [PERIOD]
crowded [AND] victorious [IMPLY] anxious [PERIOD]
charming [AND] victorious [AND] anxious [IMPLY] hilarious [PERIOD]
anxious [IMPLY] different [PERIOD]
sincere [IMPLY] polite [PERIOD]
polite [AND] combative [AND] frail [IMPLY] confused [PERIOD]
victorious [IMPLY] tidy [PERIOD]
combative [IMPLY] quaint [PERIOD]
anxious [IMPLY] hurt [PERIOD]
hurt [AND] muddy [AND] confused [IMPLY] quaint [PERIOD]
charming [IMPLY] sincere [PERIOD]
frail [AND] anxious [AND] curious [IMPLY] crowded [PERIOD]
different [AND] fancy [IMPLY] hurt [PERIOD]
fancy [AND] victorious [AND] charming [IMPLY] sincere [PERIOD]
curious [AND] charming [AND] worried [IMPLY] tidy [PERIOD]
fancy [AND] polite [IMPLY] victorious [PERIOD]
lucky [AND] tidy [AND] different [IMPLY] tired [PERIOD]
ambitious [AND] hilarious [AND] confused [IMPLY] quaint [PERIOD]
pleasant [AND] polite [IMPLY] tidy [PERIOD]
combative [AND] tidy [IMPLY] victorious [PERIOD]
hurt [IMPLY] frail [PERIOD]
curious [AND] pleasant [AND] sincere [IMPLY] charming [PERIOD]
frail [AND] confused [IMPLY] polite [PERIOD]
fancy [AND] pleasant [IMPLY] lucky [PERIOD]
confused [AND] fancy [IMPLY] different [PERIOD]
victorious [AND] pleasant [AND] worried [IMPLY] quaint [PERIOD]
combative [IMPLY] curious [PERIOD]
pleasant [IMPLY] confused [PERIOD]
anxious [IMPLY] muddy [PERIOD]
fancy [IMPLY] tired [PERIOD]
polite [AND] fancy [AND] hilarious [IMPLY] confused [PERIOD]
hilarious [AND] curious [IMPLY] different [PERIOD]
lucky [AND] charming [IMPLY] ambitious [PERIOD]
confused [IMPLY] fancy [PERIOD]
hilarious [AND] hurt [AND] tired [IMPLY] ambitious [PERIOD]
fancy [AND] pleasant [AND] lucky [IMPLY] frail [PERIOD]
hurt [AND] tidy [AND] polite [IMPLY] different [PERIOD]
anxious [IMPLY] charming [PERIOD]
fancy [IMPLY] charming [PERIOD]
lucky [AND] pleasant [AND] confused [IMPLY] anxious [PERIOD]
quaint [AND] fancy [IMPLY] worried [PERIOD]
confused [AND] crowded [IMPLY] worried [PERIOD]
sincere [IMPLY] hurt [PERIOD]
hilarious [AND] anxious [AND] ambitious [IMPLY] different [PERIOD]
tidy [AND] curious [AND] ambitious [IMPLY] sincere [PERIOD]
quaint [AND] hurt [AND] hilarious [IMPLY] different [PERIOD]
fancy [AND] anxious [IMPLY] hurt [PERIOD]
anxious [AND] frail [IMPLY] hilarious [PERIOD]
ambitious [IMPLY] tired [PERIOD]
muddy [AND] sincere [AND] confused [IMPLY] different [PERIOD]
polite [AND] pleasant [IMPLY] different [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   Cannot apply rule “combative ⇒ quaint” because missing: combative.
   anxious ⇒ hurt
   anxious ⇒ muddy
   Cannot apply rule “hurt ∧ muddy ∧ confused ⇒ quaint” because missing: confused.
   anxious ∧ frail ⇒ hilarious
   Cannot apply rule “ambitious ∧ hilarious ∧ confused ⇒ quaint” because missing: ambitious, confused.
   Cannot apply rule “victorious ∧ pleasant ∧ worried ⇒ quaint” because missing: victorious, pleasant, worried.
",0,7
"Facts:  Alice is zealous [PERIOD] Alice is good [PERIOD] Alice is selfish [PERIOD]
Rules:
cooperative [AND] silly [AND] horrible [IMPLY] inexpensive [PERIOD]
cooperative [AND] elated [AND] reserved [IMPLY] good [PERIOD]
curious [AND] horrible [AND] disobedient [IMPLY] inexpensive [PERIOD]
disobedient [IMPLY] outstanding [PERIOD]
horrible [AND] good [AND] selfish [IMPLY] unpleasant [PERIOD]
alert [AND] good [AND] easy [IMPLY] silly [PERIOD]
condemned [IMPLY] elated [PERIOD]
silly [AND] reserved [IMPLY] cooperative [PERIOD]
disobedient [AND] alert [AND] muddy [IMPLY] elated [PERIOD]
reserved [AND] horrible [IMPLY] curious [PERIOD]
silly [AND] selfish [IMPLY] cooperative [PERIOD]
beautiful [AND] alert [AND] reserved [IMPLY] unpleasant [PERIOD]
impatient [IMPLY] elated [PERIOD]
easy [AND] outrageous [IMPLY] horrible [PERIOD]
disobedient [IMPLY] elated [PERIOD]
reserved [AND] inexpensive [AND] condemned [IMPLY] lonely [PERIOD]
lucky [IMPLY] cooperative [PERIOD]
impatient [AND] beautiful [IMPLY] cooperative [PERIOD]
muddy [AND] disobedient [AND] selfish [IMPLY] cooperative [PERIOD]
outstanding [AND] impatient [AND] reserved [IMPLY] lonely [PERIOD]
outrageous [AND] zealous [AND] silly [IMPLY] horrible [PERIOD]
outrageous [AND] elated [AND] victorious [IMPLY] good [PERIOD]
ugly [AND] silly [IMPLY] impatient [PERIOD]
lucky [AND] reserved [IMPLY] impatient [PERIOD]
alert [IMPLY] reserved [PERIOD]
victorious [AND] beautiful [AND] outrageous [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] horrible [PERIOD]
outstanding [AND] impatient [IMPLY] beautiful [PERIOD]
zealous [IMPLY] victorious [PERIOD]
frail [AND] elated [IMPLY] good [PERIOD]
ugly [AND] outrageous [AND] outstanding [IMPLY] muddy [PERIOD]
unpleasant [IMPLY] cooperative [PERIOD]
zealous [AND] muddy [AND] alert [IMPLY] lucky [PERIOD]
easy [IMPLY] horrible [PERIOD]
easy [AND] ugly [AND] elated [IMPLY] good [PERIOD]
cooperative [AND] easy [IMPLY] alert [PERIOD]
curious [AND] cooperative [IMPLY] lonely [PERIOD]
horrible [AND] ugly [IMPLY] disobedient [PERIOD]
alert [AND] zealous [AND] ugly [IMPLY] disobedient [PERIOD]
alert [AND] lonely [IMPLY] lucky [PERIOD]
inexpensive [IMPLY] selfish [PERIOD]
elated [AND] lucky [IMPLY] outrageous [PERIOD]
beautiful [IMPLY] unpleasant [PERIOD]
unpleasant [AND] elated [AND] inexpensive [IMPLY] selfish [PERIOD]
inexpensive [AND] frail [IMPLY] lucky [PERIOD]
frail [IMPLY] outstanding [PERIOD]
easy [AND] disobedient [AND] outstanding [IMPLY] frail [PERIOD]
easy [AND] good [AND] lucky [IMPLY] curious [PERIOD]
cooperative [AND] horrible [AND] victorious [IMPLY] frail [PERIOD]
lonely [IMPLY] curious [PERIOD]
beautiful [AND] condemned [AND] outrageous [IMPLY] reserved [PERIOD]
horrible [AND] lonely [AND] cooperative [IMPLY] frail [PERIOD]
victorious [IMPLY] selfish [PERIOD]
alert [AND] curious [AND] disobedient [IMPLY] ugly [PERIOD]
muddy [AND] ugly [AND] lonely [IMPLY] impatient [PERIOD]
zealous [IMPLY] alert [PERIOD]
outstanding [AND] disobedient [AND] good [IMPLY] frail [PERIOD]
easy [AND] frail [IMPLY] silly [PERIOD]
outrageous [AND] lonely [AND] cooperative [IMPLY] zealous [PERIOD]
alert [AND] outstanding [AND] lucky [IMPLY] victorious [PERIOD]
zealous [AND] easy [IMPLY] silly [PERIOD]
horrible [AND] curious [IMPLY] ugly [PERIOD]
good [IMPLY] victorious [PERIOD]
inexpensive [AND] silly [AND] beautiful [IMPLY] condemned [PERIOD]
outstanding [AND] disobedient [AND] reserved [IMPLY] muddy [PERIOD]
lucky [AND] zealous [AND] victorious [IMPLY] muddy [PERIOD]
easy [AND] muddy [AND] inexpensive [IMPLY] elated [PERIOD]
frail [IMPLY] condemned [PERIOD]
outrageous [AND] impatient [AND] frail [IMPLY] lonely [PERIOD]
alert [IMPLY] curious [PERIOD]
outrageous [AND] elated [IMPLY] frail [PERIOD]
inexpensive [AND] good [AND] outrageous [IMPLY] selfish [PERIOD]
unpleasant [AND] inexpensive [AND] ugly [IMPLY] impatient [PERIOD]
elated [IMPLY] curious [PERIOD]
alert [AND] frail [IMPLY] beautiful [PERIOD]
horrible [IMPLY] disobedient [PERIOD]
horrible [AND] elated [AND] lucky [IMPLY] outstanding [PERIOD]
outrageous [IMPLY] frail [PERIOD]
frail [AND] ugly [AND] cooperative [IMPLY] good [PERIOD]
zealous [AND] outstanding [IMPLY] muddy [PERIOD]
outstanding [AND] frail [IMPLY] lonely [PERIOD]
easy [IMPLY] silly [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   Cannot apply rule “horrible ∧ good ∧ selfish ⇒ unpleasant” because missing: horrible.
   zealous ⇒ alert
   zealous ⇒ alert
   alert ⇒ reserved
   Cannot apply rule “beautiful ∧ alert ∧ reserved ⇒ unpleasant” because missing: beautiful.
   Cannot apply rule “beautiful ⇒ unpleasant” because missing: beautiful.
",0,6
"Facts:  Alice is cruel [PERIOD]
Rules:
busy [AND] talkative [IMPLY] hilarious [PERIOD]
strange [AND] good [IMPLY] courageous [PERIOD]
busy [AND] careless [AND] disobedient [IMPLY] talkative [PERIOD]
careless [IMPLY] cooperative [PERIOD]
foolish [IMPLY] excited [PERIOD]
busy [AND] disobedient [IMPLY] careless [PERIOD]
disobedient [IMPLY] weary [PERIOD]
tame [AND] busy [AND] serious [IMPLY] weary [PERIOD]
foolish [AND] courageous [IMPLY] pessimistic [PERIOD]
serious [AND] stupid [IMPLY] gorgeous [PERIOD]
courageous [AND] homely [AND] muddy [IMPLY] horrible [PERIOD]
outstanding [IMPLY] strange [PERIOD]
pessimistic [AND] courageous [IMPLY] homely [PERIOD]
cruel [AND] ugliest [IMPLY] cooperative [PERIOD]
courageous [IMPLY] horrible [PERIOD]
pessimistic [IMPLY] horrible [PERIOD]
cooperative [AND] gorgeous [IMPLY] glamorous [PERIOD]
disobedient [AND] talkative [IMPLY] cooperative [PERIOD]
careless [AND] busy [AND] hilarious [IMPLY] weary [PERIOD]
muddy [AND] ugliest [IMPLY] talkative [PERIOD]
muddy [AND] serious [IMPLY] weary [PERIOD]
pessimistic [AND] tame [AND] disobedient [IMPLY] shiny [PERIOD]
pessimistic [AND] shiny [IMPLY] foolish [PERIOD]
sincere [IMPLY] busy [PERIOD]
courageous [AND] sincere [AND] busy [IMPLY] hilarious [PERIOD]
glamorous [AND] talkative [IMPLY] courageous [PERIOD]
horrible [IMPLY] cooperative [PERIOD]
quaint [AND] gorgeous [AND] pessimistic [IMPLY] cruel [PERIOD]
good [AND] horrible [AND] stupid [IMPLY] pessimistic [PERIOD]
strange [IMPLY] tame [PERIOD]
busy [AND] foolish [IMPLY] pessimistic [PERIOD]
serious [AND] glamorous [AND] foolish [IMPLY] cruel [PERIOD]
excited [IMPLY] talkative [PERIOD]
quaint [AND] strange [IMPLY] glamorous [PERIOD]
foolish [AND] intellectual [AND] busy [IMPLY] gorgeous [PERIOD]
gorgeous [IMPLY] talkative [PERIOD]
cooperative [AND] shiny [IMPLY] glamorous [PERIOD]
good [IMPLY] pessimistic [PERIOD]
glamorous [AND] sincere [AND] stupid [IMPLY] tame [PERIOD]
good [IMPLY] homely [PERIOD]
sincere [IMPLY] strange [PERIOD]
homely [AND] shiny [AND] courageous [IMPLY] strange [PERIOD]
cooperative [IMPLY] careless [PERIOD]
foolish [IMPLY] outstanding [PERIOD]
foolish [AND] horrible [IMPLY] courageous [PERIOD]
sincere [IMPLY] quaint [PERIOD]
foolish [AND] careless [AND] muddy [IMPLY] gorgeous [PERIOD]
ugliest [AND] good [IMPLY] homely [PERIOD]
sincere [AND] horrible [IMPLY] pessimistic [PERIOD]
stupid [AND] tame [AND] courageous [IMPLY] shiny [PERIOD]
quaint [IMPLY] disobedient [PERIOD]
sincere [AND] tame [AND] cruel [IMPLY] cooperative [PERIOD]
excited [IMPLY] sincere [PERIOD]
intellectual [AND] tame [AND] good [IMPLY] cruel [PERIOD]
stupid [AND] homely [IMPLY] ugliest [PERIOD]
stupid [AND] strange [AND] good [IMPLY] homely [PERIOD]
good [AND] gorgeous [IMPLY] quaint [PERIOD]
hilarious [IMPLY] serious [PERIOD]
homely [AND] stupid [AND] cruel [IMPLY] outstanding [PERIOD]
ugliest [AND] foolish [AND] glamorous [IMPLY] careless [PERIOD]
gorgeous [AND] strange [AND] sincere [IMPLY] tame [PERIOD]
glamorous [AND] shiny [AND] excited [IMPLY] foolish [PERIOD]
excited [AND] homely [AND] serious [IMPLY] sincere [PERIOD]
homely [AND] pessimistic [AND] foolish [IMPLY] weary [PERIOD]
excited [AND] stupid [AND] quaint [IMPLY] courageous [PERIOD]
shiny [AND] foolish [AND] muddy [IMPLY] disobedient [PERIOD]
busy [AND] courageous [IMPLY] intellectual [PERIOD]
talkative [IMPLY] pessimistic [PERIOD]
muddy [IMPLY] cooperative [PERIOD]
excited [AND] stupid [IMPLY] intellectual [PERIOD]
shiny [AND] excited [IMPLY] sincere [PERIOD]
sincere [AND] stupid [IMPLY] weary [PERIOD]
weary [IMPLY] hilarious [PERIOD]
cruel [IMPLY] gorgeous [PERIOD]
cooperative [AND] excited [AND] stupid [IMPLY] tame [PERIOD]
homely [AND] ugliest [AND] talkative [IMPLY] gorgeous [PERIOD]
horrible [IMPLY] cruel [PERIOD]
quaint [AND] glamorous [IMPLY] courageous [PERIOD]
shiny [AND] sincere [IMPLY] careless [PERIOD]
busy [AND] horrible [IMPLY] homely [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   cruel ⇒ gorgeous
   gorgeous ⇒ talkative
   talkative ⇒ pessimistic
   pessimistic ⇒ horrible
   horrible ⇒ cooperative
   cooperative ⇒ careless
",1,6
"Facts:  Alice is worried [PERIOD] Alice is dull [PERIOD] Alice is bored [PERIOD] Alice is lucky [PERIOD] Alice is victorious [PERIOD] Alice is average [PERIOD] Alice is cooperative [PERIOD] Alice is straightforward [PERIOD] Alice is inquisitive [PERIOD]
Rules:
good [AND] muddy [AND] inquisitive [IMPLY] hilarious [PERIOD]
hilarious [AND] tired [AND] worrisome [IMPLY] spotless [PERIOD]
straightforward [IMPLY] dull [PERIOD]
naughty [AND] bossy [IMPLY] hilarious [PERIOD]
plain [AND] dull [IMPLY] bossy [PERIOD]
sleepy [AND] polite [AND] tired [IMPLY] bossy [PERIOD]
straightforward [AND] muddy [AND] distinct [IMPLY] wandering [PERIOD]
tired [IMPLY] helpless [PERIOD]
sleepy [AND] good [AND] average [IMPLY] bored [PERIOD]
tired [IMPLY] muddy [PERIOD]
dishonest [AND] dull [AND] worried [IMPLY] inquisitive [PERIOD]
wandering [AND] helpless [AND] lucky [IMPLY] foolish [PERIOD]
inquisitive [AND] rational [IMPLY] helpless [PERIOD]
sleepy [AND] polite [IMPLY] victorious [PERIOD]
inquisitive [AND] worried [IMPLY] tired [PERIOD]
victorious [AND] average [IMPLY] foolish [PERIOD]
spotless [IMPLY] difficult [PERIOD]
worrisome [AND] worried [AND] wrong [IMPLY] polite [PERIOD]
dull [IMPLY] helpless [PERIOD]
easy [AND] difficult [IMPLY] plain [PERIOD]
proud [IMPLY] spotless [PERIOD]
tired [AND] wandering [AND] distinct [IMPLY] spotless [PERIOD]
good [AND] helpless [AND] lucky [IMPLY] worrisome [PERIOD]
plain [AND] lucky [IMPLY] dishonest [PERIOD]
spotless [AND] difficult [AND] bossy [IMPLY] muddy [PERIOD]
worrisome [IMPLY] wandering [PERIOD]
bossy [IMPLY] hilarious [PERIOD]
distinct [AND] victorious [IMPLY] muddy [PERIOD]
proud [AND] easy [AND] dishonest [IMPLY] dull [PERIOD]
worrisome [AND] proud [IMPLY] lucky [PERIOD]
dishonest [AND] straightforward [IMPLY] average [PERIOD]
cooperative [AND] naughty [AND] inquisitive [IMPLY] distinct [PERIOD]
helpless [AND] hilarious [AND] average [IMPLY] good [PERIOD]
proud [AND] easy [IMPLY] naughty [PERIOD]
cooperative [IMPLY] good [PERIOD]
hilarious [AND] bored [IMPLY] sleepy [PERIOD]
good [AND] wrong [AND] lucky [IMPLY] inquisitive [PERIOD]
straightforward [IMPLY] victorious [PERIOD]
worried [AND] easy [IMPLY] naughty [PERIOD]
sleepy [IMPLY] rational [PERIOD]
wandering [AND] distinct [AND] foolish [IMPLY] dishonest [PERIOD]
foolish [AND] difficult [IMPLY] tired [PERIOD]
straightforward [IMPLY] wrong [PERIOD]
polite [IMPLY] helpless [PERIOD]
dull [AND] good [IMPLY] foolish [PERIOD]
easy [IMPLY] wandering [PERIOD]
worried [AND] cooperative [AND] hilarious [IMPLY] plain [PERIOD]
rational [IMPLY] good [PERIOD]
average [AND] inquisitive [AND] cooperative [IMPLY] difficult [PERIOD]
cooperative [AND] worried [AND] average [IMPLY] inquisitive [PERIOD]
polite [AND] worried [AND] wandering [IMPLY] muddy [PERIOD]
wandering [AND] wrong [AND] bossy [IMPLY] helpless [PERIOD]
bossy [AND] average [IMPLY] foolish [PERIOD]
good [AND] difficult [AND] wandering [IMPLY] easy [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   cooperative ⇒ good
   dull ⇒ helpless
   good ∧ helpless ∧ lucky ⇒ worrisome
   straightforward ⇒ wrong
   worrisome ∧ worried ∧ wrong ⇒ polite
",1,5
"Facts:  Alice is busy [PERIOD] Alice is wandering [PERIOD]
Rules:
adorable [IMPLY] wandering [PERIOD]
grumpy [IMPLY] different [PERIOD]
good [IMPLY] popular [PERIOD]
adorable [AND] gifted [AND] cooperative [IMPLY] talkative [PERIOD]
grumpy [IMPLY] good [PERIOD]
reserved [IMPLY] messy [PERIOD]
grumpy [AND] messy [AND] enchanting [IMPLY] adorable [PERIOD]
unpleasant [IMPLY] good [PERIOD]
attractive [AND] popular [AND] good [IMPLY] talkative [PERIOD]
adorable [AND] wandering [AND] helpful [IMPLY] busy [PERIOD]
attractive [AND] helpful [AND] messy [IMPLY] gifted [PERIOD]
hypocritical [AND] disgusted [AND] jittery [IMPLY] busy [PERIOD]
adorable [IMPLY] cooperative [PERIOD]
popular [IMPLY] grumpy [PERIOD]
unpleasant [AND] helpful [IMPLY] wandering [PERIOD]
reserved [IMPLY] cooperative [PERIOD]
wandering [AND] reserved [AND] hypocritical [IMPLY] jittery [PERIOD]
gifted [AND] popular [IMPLY] different [PERIOD]
good [AND] unpleasant [IMPLY] gifted [PERIOD]
wandering [IMPLY] busy [PERIOD]
adorable [AND] attractive [AND] disgusted [IMPLY] talkative [PERIOD]
uptight [IMPLY] busy [PERIOD]
good [AND] jittery [IMPLY] disgusted [PERIOD]
reserved [AND] gifted [IMPLY] attractive [PERIOD]
cooperative [AND] uptight [IMPLY] different [PERIOD]
adorable [AND] unpleasant [AND] helpful [IMPLY] popular [PERIOD]
enchanting [AND] reserved [IMPLY] busy [PERIOD]
hypocritical [AND] uptight [IMPLY] popular [PERIOD]
talkative [AND] jittery [AND] gifted [IMPLY] reserved [PERIOD]
good [AND] gifted [IMPLY] reserved [PERIOD]
disgusted [AND] jittery [AND] helpful [IMPLY] wandering [PERIOD]
attractive [AND] unpleasant [IMPLY] enchanting [PERIOD]
disgusted [IMPLY] jittery [PERIOD]
cooperative [AND] talkative [IMPLY] disgusted [PERIOD]
adorable [AND] uptight [IMPLY] busy [PERIOD]
popular [IMPLY] uptight [PERIOD]
hilarious [AND] grumpy [AND] gifted [IMPLY] different [PERIOD]
uptight [AND] wandering [AND] reserved [IMPLY] disgusted [PERIOD]
talkative [IMPLY] enchanting [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   Cannot apply rule “adorable ⇒ cooperative” because missing: adorable.
   Cannot apply rule “reserved ⇒ cooperative” because missing: reserved.
",0,2
"Facts:  Alice is joyous [PERIOD] Alice is hurt [PERIOD] Alice is weary [PERIOD] Alice is messy [PERIOD]
Rules:
thoughtless [IMPLY] enchanting [PERIOD]
enchanting [AND] joyous [AND] weary [IMPLY] hurt [PERIOD]
weary [AND] enchanting [IMPLY] hurt [PERIOD]
hurt [AND] nervous [AND] enchanting [IMPLY] outrageous [PERIOD]
crowded [AND] hurt [AND] enchanting [IMPLY] nervous [PERIOD]
crowded [AND] hurt [AND] weary [IMPLY] outrageous [PERIOD]
comfortable [AND] hurt [AND] thoughtless [IMPLY] outrageous [PERIOD]
thoughtless [IMPLY] joyous [PERIOD]
intellectual [AND] hurt [AND] comfortable [IMPLY] talented [PERIOD]
joyous [AND] thoughtless [IMPLY] weary [PERIOD]
talented [AND] weary [IMPLY] thoughtless [PERIOD]
nervous [AND] talented [AND] comfortable [IMPLY] joyous [PERIOD]
comfortable [AND] thoughtless [IMPLY] talented [PERIOD]
messy [IMPLY] comfortable [PERIOD]
joyous [IMPLY] comfortable [PERIOD]
intellectual [AND] tired [IMPLY] enchanting [PERIOD]
crowded [AND] comfortable [IMPLY] weary [PERIOD]
weary [AND] enchanting [IMPLY] joyous [PERIOD]
hurt [AND] weary [AND] comfortable [IMPLY] thoughtless [PERIOD]
outrageous [AND] weary [AND] tired [IMPLY] messy [PERIOD]
intellectual [AND] thoughtless [AND] messy [IMPLY] comfortable [PERIOD]
comfortable [AND] intellectual [IMPLY] joyous [PERIOD]
outrageous [AND] talented [IMPLY] enchanting [PERIOD]
enchanting [AND] outrageous [IMPLY] hurt [PERIOD]
messy [IMPLY] talented [PERIOD]
joyous [IMPLY] tired [PERIOD]
enchanting [AND] talented [IMPLY] thoughtless [PERIOD]
talented [AND] enchanting [IMPLY] messy [PERIOD]
thoughtless [AND] crowded [IMPLY] joyous [PERIOD]
intellectual [AND] talented [AND] nervous [IMPLY] tired [PERIOD]
outrageous [IMPLY] intellectual [PERIOD]
hurt [AND] intellectual [IMPLY] nervous [PERIOD]
tired [AND] intellectual [IMPLY] thoughtless [PERIOD]
joyous [IMPLY] crowded [PERIOD]
outrageous [AND] weary [IMPLY] messy [PERIOD]
weary [IMPLY] messy [PERIOD]
tired [AND] hurt [AND] comfortable [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] talented [PERIOD]
intellectual [AND] enchanting [AND] messy [IMPLY] comfortable [PERIOD]
nervous [AND] crowded [AND] comfortable [IMPLY] joyous [PERIOD]
tired [AND] comfortable [AND] enchanting [IMPLY] joyous [PERIOD]
talented [IMPLY] crowded [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   joyous ⇒ crowded
   crowded ∧ hurt ∧ weary ⇒ outrageous
   messy ⇒ talented
   outrageous ∧ talented ⇒ enchanting
",1,4
"Facts:  Alice is comfortable [PERIOD] Alice is careless [PERIOD] Alice is distinct [PERIOD]
Rules:
comfortable [AND] broad-minded [IMPLY] agreeable [PERIOD]
attentive [AND] talkative [IMPLY] modern [PERIOD]
anxious [IMPLY] inquisitive [PERIOD]
adorable [AND] tense [IMPLY] anxious [PERIOD]
glamorous [AND] modern [IMPLY] adorable [PERIOD]
stubborn [IMPLY] talkative [PERIOD]
famous [IMPLY] adorable [PERIOD]
modern [AND] serious [IMPLY] zealous [PERIOD]
zealous [AND] broad-minded [AND] comfortable [IMPLY] powerful [PERIOD]
attentive [IMPLY] powerful [PERIOD]
troubled [AND] comfortable [IMPLY] distinct [PERIOD]
popular [AND] distinct [IMPLY] fancy [PERIOD]
inquisitive [AND] talkative [IMPLY] popular [PERIOD]
careless [IMPLY] broad-minded [PERIOD]
famous [AND] glamorous [AND] powerful [IMPLY] adorable [PERIOD]
inquisitive [AND] stubborn [AND] famous [IMPLY] zealous [PERIOD]
powerful [AND] modern [AND] comfortable [IMPLY] popular [PERIOD]
tense [AND] famous [IMPLY] zealous [PERIOD]
serious [AND] anxious [IMPLY] stubborn [PERIOD]
anxious [IMPLY] troubled [PERIOD]
glamorous [AND] careless [AND] agreeable [IMPLY] powerful [PERIOD]
spotless [AND] anxious [IMPLY] careless [PERIOD]
zealous [IMPLY] anxious [PERIOD]
popular [AND] modern [IMPLY] zealous [PERIOD]
modern [AND] spotless [AND] powerful [IMPLY] talkative [PERIOD]
troubled [AND] comfortable [AND] anxious [IMPLY] adorable [PERIOD]
spotless [IMPLY] anxious [PERIOD]
comfortable [AND] agreeable [IMPLY] inquisitive [PERIOD]
popular [AND] rational [IMPLY] distinct [PERIOD]
tense [IMPLY] modern [PERIOD]
serious [IMPLY] agreeable [PERIOD]
popular [AND] spotless [IMPLY] adorable [PERIOD]
talkative [AND] inquisitive [AND] comfortable [IMPLY] careless [PERIOD]
fancy [IMPLY] inquisitive [PERIOD]
famous [AND] serious [IMPLY] stubborn [PERIOD]
careless [IMPLY] distinct [PERIOD]
tense [AND] attentive [IMPLY] anxious [PERIOD]
spotless [AND] fancy [AND] popular [IMPLY] powerful [PERIOD]
tense [IMPLY] spotless [PERIOD]
glamorous [AND] stubborn [AND] tense [IMPLY] modern [PERIOD]
rational [IMPLY] comfortable [PERIOD]
zealous [AND] tense [IMPLY] rational [PERIOD]
powerful [AND] attentive [IMPLY] distinct [PERIOD]
zealous [IMPLY] modern [PERIOD]
comfortable [AND] anxious [IMPLY] attentive [PERIOD]
attentive [AND] inquisitive [AND] comfortable [IMPLY] glamorous [PERIOD]
broad-minded [AND] fancy [AND] modern [IMPLY] glamorous [PERIOD]
careless [AND] adorable [AND] comfortable [IMPLY] talkative [PERIOD]
modern [AND] popular [IMPLY] fancy [PERIOD]
agreeable [IMPLY] popular [PERIOD]
fancy [AND] anxious [IMPLY] agreeable [PERIOD]
modern [AND] troubled [IMPLY] zealous [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   Cannot apply rule “serious ∧ anxious ⇒ stubborn” because missing: serious, anxious.
   Cannot apply rule “famous ∧ serious ⇒ stubborn” because missing: famous, serious.
",0,2
"Facts:  Alice is mean [PERIOD] Alice is zealous [PERIOD] Alice is sensible [PERIOD] Alice is dishonest [PERIOD] Alice is confident [PERIOD] Alice is alert [PERIOD] Alice is nervous [PERIOD] Alice is reserved [PERIOD] Alice is pessimistic [PERIOD] Alice is good [PERIOD] Alice is helpless [PERIOD] Alice is stormy [PERIOD] Alice is cute [PERIOD] Alice is wide-eyed [PERIOD]
Rules:
sensible [IMPLY] dishonest [PERIOD]
fragile [IMPLY] dishonest [PERIOD]
alert [IMPLY] long [PERIOD]
stormy [AND] cute [IMPLY] fragile [PERIOD]
beautiful [AND] stormy [AND] aggressive [IMPLY] ugliest [PERIOD]
good [AND] spotless [IMPLY] loving [PERIOD]
sensible [AND] nervous [AND] cute [IMPLY] embarrassed [PERIOD]
zealous [IMPLY] strange [PERIOD]
cute [AND] pessimistic [IMPLY] dishonest [PERIOD]
troubled [AND] mean [IMPLY] stormy [PERIOD]
confident [AND] good [AND] stubborn [IMPLY] frail [PERIOD]
fragile [AND] wide-eyed [IMPLY] outrageous [PERIOD]
beautiful [IMPLY] cute [PERIOD]
dishonest [AND] nervous [IMPLY] wide-eyed [PERIOD]
dishonest [IMPLY] frail [PERIOD]
zealous [AND] reserved [IMPLY] inquisitive [PERIOD]
stormy [IMPLY] beautiful [PERIOD]
mean [AND] stormy [AND] embarrassed [IMPLY] fragile [PERIOD]
beautiful [IMPLY] helpless [PERIOD]
confident [IMPLY] nervous [PERIOD]
nervous [IMPLY] stubborn [PERIOD]
nervous [AND] loving [IMPLY] confident [PERIOD]
dishonest [AND] zealous [AND] helpless [IMPLY] ugliest [PERIOD]
helpless [IMPLY] alert [PERIOD]
loving [AND] nervous [IMPLY] sensible [PERIOD]
muddy [AND] long [IMPLY] alert [PERIOD]
muddy [IMPLY] polite [PERIOD]
troubled [AND] inquisitive [IMPLY] long [PERIOD]
nervous [AND] ugliest [AND] pessimistic [IMPLY] troubled [PERIOD]
dishonest [AND] loving [IMPLY] outrageous [PERIOD]
stubborn [AND] aggressive [IMPLY] wide-eyed [PERIOD]
sensible [AND] pessimistic [AND] nervous [IMPLY] ugliest [PERIOD]
beautiful [IMPLY] alert [PERIOD]
sensible [IMPLY] stubborn [PERIOD]
alert [AND] confident [IMPLY] mean [PERIOD]
loving [AND] embarrassed [IMPLY] aggressive [PERIOD]
alert [AND] wide-eyed [IMPLY] mean [PERIOD]
fragile [AND] loving [AND] outrageous [IMPLY] aggressive [PERIOD]
spotless [AND] wide-eyed [IMPLY] frail [PERIOD]
spotless [AND] alert [AND] embarrassed [IMPLY] dishonest [PERIOD]
nervous [IMPLY] alert [PERIOD]
embarrassed [IMPLY] beautiful [PERIOD]
inquisitive [AND] embarrassed [AND] wide-eyed [IMPLY] spotless [PERIOD]
zealous [IMPLY] long [PERIOD]
pessimistic [IMPLY] good [PERIOD]
pessimistic [AND] zealous [AND] ugliest [IMPLY] outrageous [PERIOD]
nervous [IMPLY] muddy [PERIOD]
spotless [AND] confident [IMPLY] cute [PERIOD]
wide-eyed [AND] aggressive [AND] helpless [IMPLY] dishonest [PERIOD]
wide-eyed [AND] stubborn [IMPLY] alert [PERIOD]
mean [AND] loving [IMPLY] troubled [PERIOD]
loving [IMPLY] helpless [PERIOD]
cute [AND] pessimistic [IMPLY] aggressive [PERIOD]
cute [IMPLY] wide-eyed [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   zealous ∧ reserved ⇒ inquisitive
   sensible ∧ nervous ∧ cute ⇒ embarrassed
   inquisitive ∧ embarrassed ∧ wide-eyed ⇒ spotless
   good ∧ spotless ⇒ loving
",1,4
"Facts:  Alice is stubborn [PERIOD] Alice is average [PERIOD] Alice is silly [PERIOD] Alice is troubled [PERIOD]
Rules:
difficult [AND] thoughtful [AND] silly [IMPLY] popular [PERIOD]
thoughtless [AND] combative [IMPLY] gleaming [PERIOD]
popular [IMPLY] strange [PERIOD]
famous [IMPLY] strange [PERIOD]
troubled [AND] strange [AND] silly [IMPLY] light [PERIOD]
combative [AND] thoughtful [AND] exuberant [IMPLY] attractive [PERIOD]
exuberant [AND] popular [AND] thoughtless [IMPLY] frantic [PERIOD]
silly [AND] average [IMPLY] exuberant [PERIOD]
exuberant [AND] versatile [AND] light [IMPLY] attractive [PERIOD]
stubborn [IMPLY] frantic [PERIOD]
troubled [AND] bad-tempered [IMPLY] talented [PERIOD]
talented [IMPLY] stubborn [PERIOD]
difficult [IMPLY] talented [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   No rule concludes “famous.”
",0,1
"Facts:  Alice is weary [PERIOD] Alice is exuberant [PERIOD] Alice is messy [PERIOD] Alice is spotless [PERIOD] Alice is powerful [PERIOD] Alice is stubborn [PERIOD]
Rules:
combative [IMPLY] tame [PERIOD]
reserved [AND] powerful [IMPLY] zealous [PERIOD]
old-fashioned [AND] spotless [IMPLY] frail [PERIOD]
stubborn [AND] weary [AND] selfish [IMPLY] modern [PERIOD]
powerful [IMPLY] old-fashioned [PERIOD]
stubborn [AND] weary [IMPLY] reserved [PERIOD]
spotless [AND] modern [AND] sensible [IMPLY] stormy [PERIOD]
old-fashioned [IMPLY] nervous [PERIOD]
spotless [IMPLY] reserved [PERIOD]
messy [IMPLY] selfish [PERIOD]
unpleasant [AND] nervous [AND] exuberant [IMPLY] average [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   No rule concludes “unpleasant.”
",0,1
"Facts:  Alice is crowded [PERIOD] Alice is lonely [PERIOD] Alice is diplomatic [PERIOD] Alice is calm [PERIOD] Alice is mean [PERIOD] Alice is scared [PERIOD] Alice is adorable [PERIOD] Alice is inexpensive [PERIOD] Alice is elated [PERIOD] Alice is plain [PERIOD] Alice is fragile [PERIOD] Alice is good [PERIOD] Alice is spotless [PERIOD] Alice is fine [PERIOD] Alice is attentive [PERIOD] Alice is beautiful [PERIOD] Alice is ugliest [PERIOD] Alice is tired [PERIOD] Alice is agreeable [PERIOD] Alice is stormy [PERIOD] Alice is intellectual [PERIOD] Alice is muddy [PERIOD] Alice is grumpy [PERIOD] Alice is impatient [PERIOD] Alice is innocent [PERIOD] Alice is talkative [PERIOD] Alice is fancy [PERIOD] Alice is tidy [PERIOD] Alice is versatile [PERIOD]
Rules:
attentive [IMPLY] stormy [PERIOD]
adorable [AND] fine [IMPLY] mean [PERIOD]
innocent [AND] crowded [AND] worrisome [IMPLY] diplomatic [PERIOD]
good [AND] tidy [IMPLY] calm [PERIOD]
Query: Alice is diplomatic [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is dishonest [PERIOD] Alice is proud [PERIOD] Alice is clean [PERIOD] Alice is selfish [PERIOD]
Rules:
proud [IMPLY] serious [PERIOD]
dishonest [AND] proud [AND] serious [IMPLY] elegant [PERIOD]
dishonest [IMPLY] sensible [PERIOD]
serious [IMPLY] outstanding [PERIOD]
serious [AND] elegant [IMPLY] outstanding [PERIOD]
serious [AND] disobedient [AND] inexpensive [IMPLY] selfish [PERIOD]
inexpensive [IMPLY] serious [PERIOD]
dishonest [AND] confident [AND] sensible [IMPLY] strange [PERIOD]
selfish [IMPLY] outstanding [PERIOD]
strange [AND] selfish [IMPLY] glamorous [PERIOD]
strange [AND] selfish [IMPLY] elegant [PERIOD]
proud [AND] dishonest [IMPLY] selfish [PERIOD]
strange [AND] proud [AND] dishonest [IMPLY] selfish [PERIOD]
sensible [AND] strange [AND] selfish [IMPLY] serious [PERIOD]
dishonest [AND] disobedient [AND] selfish [IMPLY] outstanding [PERIOD]
inexpensive [AND] disobedient [IMPLY] proud [PERIOD]
elegant [AND] strange [AND] selfish [IMPLY] outstanding [PERIOD]
selfish [AND] strange [IMPLY] sensible [PERIOD]
sensible [AND] proud [IMPLY] clean [PERIOD]
glamorous [AND] selfish [IMPLY] elegant [PERIOD]
outstanding [AND] confident [IMPLY] disobedient [PERIOD]
selfish [AND] elegant [IMPLY] strange [PERIOD]
dishonest [IMPLY] disobedient [PERIOD]
strange [AND] glamorous [IMPLY] serious [PERIOD]
disobedient [IMPLY] inexpensive [PERIOD]
selfish [IMPLY] strange [PERIOD]
confident [IMPLY] elegant [PERIOD]
sensible [IMPLY] dishonest [PERIOD]
inexpensive [AND] sensible [AND] elegant [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] dishonest [PERIOD]
dishonest [AND] inexpensive [IMPLY] elegant [PERIOD]
serious [AND] strange [AND] selfish [IMPLY] confident [PERIOD]
clean [AND] elegant [AND] sensible [IMPLY] selfish [PERIOD]
outstanding [IMPLY] clean [PERIOD]
outstanding [AND] selfish [AND] elegant [IMPLY] disobedient [PERIOD]
proud [AND] inexpensive [IMPLY] dishonest [PERIOD]
sensible [AND] inexpensive [IMPLY] dishonest [PERIOD]
confident [AND] dishonest [AND] disobedient [IMPLY] outstanding [PERIOD]
disobedient [AND] inexpensive [IMPLY] elegant [PERIOD]
disobedient [AND] strange [IMPLY] selfish [PERIOD]
sensible [AND] dishonest [AND] disobedient [IMPLY] strange [PERIOD]
confident [AND] proud [IMPLY] outstanding [PERIOD]
elegant [AND] inexpensive [IMPLY] serious [PERIOD]
glamorous [AND] sensible [AND] disobedient [IMPLY] confident [PERIOD]
elegant [AND] clean [IMPLY] outstanding [PERIOD]
glamorous [IMPLY] outstanding [PERIOD]
inexpensive [IMPLY] dishonest [PERIOD]
confident [AND] inexpensive [IMPLY] glamorous [PERIOD]
glamorous [AND] selfish [AND] serious [IMPLY] strange [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   selfish ⇒ strange
",1,1
"Facts:  Alice is fancy [PERIOD] Alice is cute [PERIOD] Alice is rude [PERIOD]
Rules:
disobedient [AND] modern [IMPLY] pleasant [PERIOD]
exuberant [AND] worried [AND] blushing [IMPLY] fancy [PERIOD]
exuberant [AND] selfish [IMPLY] rude [PERIOD]
rude [AND] pleasant [AND] beautiful [IMPLY] modern [PERIOD]
selfish [AND] cute [IMPLY] blushing [PERIOD]
enchanting [AND] modern [AND] worried [IMPLY] rude [PERIOD]
fancy [AND] clumsy [IMPLY] shiny [PERIOD]
fancy [IMPLY] shiny [PERIOD]
spotless [IMPLY] beautiful [PERIOD]
cute [IMPLY] clumsy [PERIOD]
shiny [AND] clumsy [IMPLY] exuberant [PERIOD]
spotless [IMPLY] dull [PERIOD]
enchanting [AND] cute [IMPLY] beautiful [PERIOD]
selfish [AND] spotless [IMPLY] exuberant [PERIOD]
disobedient [AND] clumsy [IMPLY] selfish [PERIOD]
dull [AND] tense [IMPLY] rude [PERIOD]
clumsy [AND] cute [IMPLY] enchanting [PERIOD]
exuberant [IMPLY] cute [PERIOD]
enchanting [AND] beautiful [IMPLY] clumsy [PERIOD]
exuberant [IMPLY] selfish [PERIOD]
modern [IMPLY] fancy [PERIOD]
rude [IMPLY] beautiful [PERIOD]
enchanting [IMPLY] blushing [PERIOD]
dull [AND] pleasant [AND] shiny [IMPLY] cute [PERIOD]
dull [IMPLY] enchanting [PERIOD]
selfish [AND] cute [AND] dull [IMPLY] exuberant [PERIOD]
blushing [IMPLY] disobedient [PERIOD]
modern [AND] pleasant [IMPLY] disobedient [PERIOD]
dull [AND] exuberant [IMPLY] spotless [PERIOD]
rude [AND] blushing [AND] cute [IMPLY] selfish [PERIOD]
pleasant [AND] dull [IMPLY] cute [PERIOD]
clumsy [AND] shiny [AND] disobedient [IMPLY] enchanting [PERIOD]
worried [AND] disobedient [AND] modern [IMPLY] beautiful [PERIOD]
tense [AND] modern [IMPLY] spotless [PERIOD]
tense [IMPLY] enchanting [PERIOD]
fancy [AND] rude [IMPLY] spotless [PERIOD]
dull [AND] worried [AND] enchanting [IMPLY] shiny [PERIOD]
blushing [AND] spotless [IMPLY] beautiful [PERIOD]
pleasant [IMPLY] spotless [PERIOD]
fancy [AND] spotless [IMPLY] selfish [PERIOD]
pleasant [AND] tense [AND] enchanting [IMPLY] shiny [PERIOD]
selfish [AND] modern [IMPLY] tense [PERIOD]
fancy [IMPLY] modern [PERIOD]
tense [AND] worried [IMPLY] disobedient [PERIOD]
enchanting [AND] spotless [IMPLY] dull [PERIOD]
tense [AND] blushing [IMPLY] fancy [PERIOD]
rude [AND] modern [AND] tense [IMPLY] selfish [PERIOD]
worried [AND] dull [IMPLY] spotless [PERIOD]
clumsy [AND] rude [AND] cute [IMPLY] tense [PERIOD]
tense [AND] beautiful [AND] pleasant [IMPLY] rude [PERIOD]
blushing [AND] cute [AND] fancy [IMPLY] selfish [PERIOD]
disobedient [AND] blushing [IMPLY] cute [PERIOD]
worried [AND] spotless [AND] fancy [IMPLY] tense [PERIOD]
exuberant [IMPLY] pleasant [PERIOD]
spotless [IMPLY] exuberant [PERIOD]
disobedient [AND] tense [AND] enchanting [IMPLY] rude [PERIOD]
cute [AND] rude [AND] selfish [IMPLY] worried [PERIOD]
rude [AND] exuberant [IMPLY] dull [PERIOD]
exuberant [AND] disobedient [IMPLY] cute [PERIOD]
beautiful [AND] spotless [AND] exuberant [IMPLY] worried [PERIOD]
pleasant [AND] fancy [AND] enchanting [IMPLY] tense [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
   fancy ⇒ shiny
   cute ⇒ clumsy
   shiny ∧ clumsy ⇒ exuberant
",1,3
"Facts:  Alice is worrisome [PERIOD] Alice is quaint [PERIOD] Alice is combative [PERIOD] Alice is wrong [PERIOD] Alice is shiny [PERIOD] Alice is confused [PERIOD]
Rules:
quaint [AND] helpful [IMPLY] distinct [PERIOD]
combative [AND] adorable [AND] confused [IMPLY] wrong [PERIOD]
combative [AND] adorable [IMPLY] shiny [PERIOD]
troubled [AND] alert [AND] combative [IMPLY] distinct [PERIOD]
shiny [AND] combative [IMPLY] wrong [PERIOD]
adorable [AND] gifted [AND] alert [IMPLY] wrong [PERIOD]
alert [AND] gifted [AND] confused [IMPLY] wrong [PERIOD]
troubled [IMPLY] helpful [PERIOD]
alert [IMPLY] confused [PERIOD]
crowded [AND] shiny [IMPLY] adorable [PERIOD]
worrisome [IMPLY] quaint [PERIOD]
crowded [AND] combative [AND] helpful [IMPLY] alert [PERIOD]
distinct [IMPLY] combative [PERIOD]
shiny [AND] combative [AND] confused [IMPLY] distinct [PERIOD]
wrong [AND] worrisome [IMPLY] crowded [PERIOD]
combative [AND] confused [AND] alert [IMPLY] adorable [PERIOD]
crowded [AND] adorable [IMPLY] quaint [PERIOD]
adorable [AND] alert [AND] troubled [IMPLY] gifted [PERIOD]
crowded [IMPLY] helpful [PERIOD]
troubled [AND] confused [AND] worrisome [IMPLY] wrong [PERIOD]
troubled [IMPLY] adorable [PERIOD]
alert [AND] wrong [AND] worrisome [IMPLY] confused [PERIOD]
gifted [IMPLY] thoughtless [PERIOD]
crowded [AND] worrisome [IMPLY] gifted [PERIOD]
crowded [AND] quaint [AND] worrisome [IMPLY] shiny [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   wrong ∧ worrisome ⇒ crowded
   crowded ∧ worrisome ⇒ gifted
   gifted ⇒ thoughtless
",1,3
"Facts: 
Rules:
diplomatic [AND] worrisome [IMPLY] modern [PERIOD]
modern [AND] confused [AND] inexpensive [IMPLY] diplomatic [PERIOD]
diplomatic [AND] proud [AND] spotless [IMPLY] hypocritical [PERIOD]
modern [IMPLY] worrisome [PERIOD]
hypocritical [IMPLY] curious [PERIOD]
worrisome [AND] modern [AND] confused [IMPLY] hypocritical [PERIOD]
bright [IMPLY] gleaming [PERIOD]
confused [AND] spotless [IMPLY] hypocritical [PERIOD]
worrisome [AND] joyous [AND] modern [IMPLY] hypocritical [PERIOD]
diplomatic [AND] modern [IMPLY] bright [PERIOD]
joyous [IMPLY] spotless [PERIOD]
proud [AND] joyous [AND] curious [IMPLY] hypocritical [PERIOD]
joyous [AND] inexpensive [AND] worrisome [IMPLY] spotless [PERIOD]
curious [IMPLY] bright [PERIOD]
bright [AND] worrisome [IMPLY] gleaming [PERIOD]
curious [AND] joyous [AND] gleaming [IMPLY] modern [PERIOD]
proud [IMPLY] modern [PERIOD]
bright [IMPLY] joyous [PERIOD]
modern [AND] hypocritical [AND] bright [IMPLY] diplomatic [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
   Cannot apply rule “diplomatic ∧ proud ∧ spotless ⇒ hypocritical” because missing: diplomatic, proud, spotless.
   Cannot apply rule “worrisome ∧ modern ∧ confused ⇒ hypocritical” because missing: worrisome, modern, confused.
   Cannot apply rule “confused ∧ spotless ⇒ hypocritical” because missing: confused, spotless.
   Cannot apply rule “worrisome ∧ joyous ∧ modern ⇒ hypocritical” because missing: worrisome, joyous, modern.
   Cannot apply rule “proud ∧ joyous ∧ curious ⇒ hypocritical” because missing: proud, joyous, curious.
",0,5
"Facts:  Alice is diplomatic [PERIOD] Alice is silly [PERIOD]
Rules:
attractive [AND] pessimistic [AND] dishonest [IMPLY] elated [PERIOD]
confused [AND] silly [IMPLY] pessimistic [PERIOD]
hypocritical [AND] exuberant [IMPLY] confused [PERIOD]
embarrassed [IMPLY] dishonest [PERIOD]
dishonest [AND] confused [IMPLY] disobedient [PERIOD]
exuberant [IMPLY] confused [PERIOD]
pessimistic [IMPLY] disgusted [PERIOD]
scared [AND] powerful [AND] strange [IMPLY] pessimistic [PERIOD]
talented [AND] strange [AND] pessimistic [IMPLY] attractive [PERIOD]
witty [AND] diplomatic [AND] talented [IMPLY] exuberant [PERIOD]
silly [AND] diplomatic [AND] hilarious [IMPLY] powerful [PERIOD]
powerful [AND] disgusted [AND] pessimistic [IMPLY] scared [PERIOD]
hilarious [AND] disgusted [AND] ugly [IMPLY] elated [PERIOD]
disobedient [IMPLY] strange [PERIOD]
silly [IMPLY] pessimistic [PERIOD]
witty [AND] disgusted [AND] embarrassed [IMPLY] strange [PERIOD]
powerful [AND] elated [AND] diplomatic [IMPLY] disobedient [PERIOD]
dishonest [IMPLY] talented [PERIOD]
confused [AND] embarrassed [AND] disgusted [IMPLY] powerful [PERIOD]
hilarious [AND] pessimistic [IMPLY] disobedient [PERIOD]
silly [AND] diplomatic [IMPLY] scared [PERIOD]
strange [AND] disobedient [IMPLY] powerful [PERIOD]
witty [AND] confused [IMPLY] scared [PERIOD]
elated [AND] combative [AND] pessimistic [IMPLY] confused [PERIOD]
disobedient [AND] cruel [IMPLY] silly [PERIOD]
witty [IMPLY] dishonest [PERIOD]
exuberant [AND] strange [AND] disgusted [IMPLY] embarrassed [PERIOD]
elated [IMPLY] scared [PERIOD]
hilarious [IMPLY] dishonest [PERIOD]
elated [AND] diplomatic [AND] cruel [IMPLY] attractive [PERIOD]
enchanting [IMPLY] ugly [PERIOD]
enchanting [AND] hilarious [IMPLY] cruel [PERIOD]
scared [IMPLY] embarrassed [PERIOD]
dishonest [AND] strange [AND] hypocritical [IMPLY] witty [PERIOD]
combative [IMPLY] cruel [PERIOD]
scared [AND] enchanting [IMPLY] strange [PERIOD]
pessimistic [IMPLY] hypocritical [PERIOD]
enchanting [AND] strange [IMPLY] embarrassed [PERIOD]
strange [AND] talented [AND] dishonest [IMPLY] scared [PERIOD]
confused [AND] enchanting [AND] embarrassed [IMPLY] ugly [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   silly ⇒ pessimistic
   pessimistic ⇒ hypocritical
   Cannot apply rule “hypocritical ∧ exuberant ⇒ confused” because missing: exuberant.
   Cannot apply rule “exuberant ⇒ confused” because missing: exuberant.
   silly ⇒ pessimistic
   Cannot apply rule “elated ∧ combative ∧ pessimistic ⇒ confused” because missing: elated, combative.
",0,6
"Facts:  Alice is condemned [PERIOD]
Rules:
helpless [IMPLY] distinct [PERIOD]
busy [AND] stupid [AND] frightened [IMPLY] condemned [PERIOD]
quaint [AND] popular [AND] enchanting [IMPLY] aggressive [PERIOD]
unpleasant [IMPLY] frantic [PERIOD]
cooperative [AND] fragile [IMPLY] anxious [PERIOD]
ugly [IMPLY] unpleasant [PERIOD]
anxious [AND] hypocritical [IMPLY] cooperative [PERIOD]
enchanting [AND] frantic [AND] aggressive [IMPLY] stupid [PERIOD]
stupid [IMPLY] intellectual [PERIOD]
ambitious [IMPLY] cooperative [PERIOD]
bright [AND] anxious [AND] helpless [IMPLY] popular [PERIOD]
fine [AND] cooperative [AND] busy [IMPLY] friendly [PERIOD]
fragile [AND] courageous [AND] anxious [IMPLY] fine [PERIOD]
friendly [IMPLY] hypocritical [PERIOD]
condemned [AND] stubborn [IMPLY] friendly [PERIOD]
lonely [AND] enchanting [AND] cooperative [IMPLY] stupid [PERIOD]
bright [AND] frantic [IMPLY] aggressive [PERIOD]
unpleasant [IMPLY] aggressive [PERIOD]
talkative [AND] stupid [IMPLY] hypocritical [PERIOD]
fine [AND] stubborn [AND] quaint [IMPLY] condemned [PERIOD]
talkative [AND] helpless [AND] anxious [IMPLY] friendly [PERIOD]
condemned [AND] frightened [IMPLY] enchanting [PERIOD]
aggressive [AND] intellectual [IMPLY] condemned [PERIOD]
bright [AND] unpleasant [IMPLY] cooperative [PERIOD]
powerful [AND] intellectual [AND] stubborn [IMPLY] busy [PERIOD]
stupid [AND] hypocritical [AND] anxious [IMPLY] stubborn [PERIOD]
talkative [IMPLY] unpleasant [PERIOD]
powerful [AND] stupid [AND] foolish [IMPLY] frightened [PERIOD]
courageous [AND] ugly [IMPLY] helpless [PERIOD]
helpless [AND] stupid [AND] frantic [IMPLY] hypocritical [PERIOD]
stubborn [IMPLY] courageous [PERIOD]
fragile [IMPLY] helpless [PERIOD]
ambitious [AND] lonely [AND] condemned [IMPLY] intellectual [PERIOD]
ugly [AND] quaint [IMPLY] courageous [PERIOD]
aggressive [IMPLY] enchanting [PERIOD]
unpleasant [AND] bright [IMPLY] quaint [PERIOD]
frantic [AND] stupid [IMPLY] cooperative [PERIOD]
quaint [IMPLY] lonely [PERIOD]
friendly [AND] courageous [IMPLY] busy [PERIOD]
intellectual [AND] popular [AND] condemned [IMPLY] ambitious [PERIOD]
helpless [IMPLY] frightened [PERIOD]
ugly [AND] talkative [AND] frightened [IMPLY] powerful [PERIOD]
frightened [AND] ambitious [AND] anxious [IMPLY] intellectual [PERIOD]
cooperative [IMPLY] popular [PERIOD]
frantic [AND] stupid [AND] powerful [IMPLY] busy [PERIOD]
unpleasant [IMPLY] courageous [PERIOD]
stubborn [IMPLY] friendly [PERIOD]
anxious [IMPLY] intellectual [PERIOD]
aggressive [IMPLY] frantic [PERIOD]
busy [AND] ugly [IMPLY] powerful [PERIOD]
frightened [AND] intellectual [AND] lonely [IMPLY] busy [PERIOD]
fine [AND] cooperative [AND] frantic [IMPLY] ugly [PERIOD]
bright [AND] aggressive [AND] courageous [IMPLY] anxious [PERIOD]
aggressive [AND] ambitious [AND] cooperative [IMPLY] quaint [PERIOD]
fragile [AND] stupid [IMPLY] intellectual [PERIOD]
busy [AND] fine [IMPLY] condemned [PERIOD]
fine [AND] friendly [IMPLY] bright [PERIOD]
powerful [AND] fine [AND] friendly [IMPLY] unpleasant [PERIOD]
fine [AND] quaint [AND] ambitious [IMPLY] stubborn [PERIOD]
cooperative [AND] condemned [AND] enchanting [IMPLY] light [PERIOD]
hypocritical [IMPLY] aggressive [PERIOD]
courageous [AND] anxious [IMPLY] ambitious [PERIOD]
ambitious [AND] frightened [IMPLY] anxious [PERIOD]
intellectual [AND] distinct [AND] courageous [IMPLY] busy [PERIOD]
courageous [IMPLY] stubborn [PERIOD]
ugly [AND] cooperative [AND] frightened [IMPLY] anxious [PERIOD]
ambitious [IMPLY] stubborn [PERIOD]
enchanting [IMPLY] cooperative [PERIOD]
distinct [AND] bright [IMPLY] anxious [PERIOD]
condemned [AND] talkative [IMPLY] powerful [PERIOD]
cooperative [AND] frantic [IMPLY] stupid [PERIOD]
hypocritical [AND] condemned [AND] bright [IMPLY] popular [PERIOD]
enchanting [AND] talkative [AND] courageous [IMPLY] frightened [PERIOD]
foolish [AND] stupid [AND] courageous [IMPLY] cooperative [PERIOD]
light [AND] frantic [IMPLY] intellectual [PERIOD]
stupid [AND] lonely [IMPLY] hypocritical [PERIOD]
fragile [IMPLY] ambitious [PERIOD]
talkative [AND] popular [AND] busy [IMPLY] bright [PERIOD]
frantic [AND] cooperative [AND] lonely [IMPLY] bright [PERIOD]
fine [AND] enchanting [IMPLY] aggressive [PERIOD]
distinct [AND] friendly [IMPLY] light [PERIOD]
intellectual [AND] courageous [AND] condemned [IMPLY] light [PERIOD]
distinct [AND] stubborn [AND] anxious [IMPLY] frightened [PERIOD]
ambitious [AND] hypocritical [AND] popular [IMPLY] friendly [PERIOD]
stubborn [AND] friendly [IMPLY] quaint [PERIOD]
frantic [AND] stupid [IMPLY] talkative [PERIOD]
friendly [AND] cooperative [AND] busy [IMPLY] helpless [PERIOD]
talkative [AND] lonely [IMPLY] fragile [PERIOD]
hypocritical [AND] powerful [IMPLY] enchanting [PERIOD]
intellectual [AND] powerful [AND] anxious [IMPLY] lonely [PERIOD]
talkative [AND] hypocritical [AND] frantic [IMPLY] bright [PERIOD]
frightened [AND] stubborn [AND] quaint [IMPLY] friendly [PERIOD]
cooperative [IMPLY] unpleasant [PERIOD]
light [AND] ambitious [AND] helpless [IMPLY] powerful [PERIOD]
courageous [AND] popular [AND] powerful [IMPLY] light [PERIOD]
unpleasant [AND] light [AND] bright [IMPLY] cooperative [PERIOD]
enchanting [IMPLY] anxious [PERIOD]
friendly [AND] fragile [AND] frightened [IMPLY] powerful [PERIOD]
ambitious [IMPLY] lonely [PERIOD]
courageous [AND] stupid [IMPLY] talkative [PERIOD]
lonely [AND] stubborn [AND] enchanting [IMPLY] ambitious [PERIOD]
fragile [AND] intellectual [AND] friendly [IMPLY] ugly [PERIOD]
cooperative [AND] powerful [IMPLY] talkative [PERIOD]
stubborn [IMPLY] frightened [PERIOD]
stupid [AND] talkative [IMPLY] bright [PERIOD]
fine [IMPLY] intellectual [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   Cannot apply rule “stupid ⇒ intellectual” because missing: stupid.
   Cannot apply rule “ambitious ∧ lonely ∧ condemned ⇒ intellectual” because missing: ambitious, lonely.
   Cannot apply rule “frightened ∧ ambitious ∧ anxious ⇒ intellectual” because missing: frightened, ambitious, anxious.
   Cannot apply rule “anxious ⇒ intellectual” because missing: anxious.
   Cannot apply rule “fragile ∧ stupid ⇒ intellectual” because missing: fragile, stupid.
   Cannot apply rule “light ∧ frantic ⇒ intellectual” because missing: light, frantic.
   Cannot apply rule “fine ⇒ intellectual” because missing: fine.
",0,7
"Facts:  Alice is combative [PERIOD] Alice is curious [PERIOD]
Rules:
thoughtless [IMPLY] tame [PERIOD]
tame [AND] thoughtless [AND] famous [IMPLY] fancy [PERIOD]
worrisome [AND] tired [IMPLY] beautiful [PERIOD]
tame [AND] shiny [IMPLY] beautiful [PERIOD]
sincere [AND] pessimistic [AND] worrisome [IMPLY] bossy [PERIOD]
tame [IMPLY] combative [PERIOD]
sincere [AND] combative [IMPLY] curious [PERIOD]
messy [AND] pessimistic [IMPLY] bossy [PERIOD]
shiny [AND] pessimistic [AND] tired [IMPLY] fancy [PERIOD]
crowded [AND] sincere [AND] pessimistic [IMPLY] shiny [PERIOD]
tame [IMPLY] crowded [PERIOD]
sincere [IMPLY] thoughtless [PERIOD]
tired [IMPLY] combative [PERIOD]
bossy [AND] combative [AND] shiny [IMPLY] thoughtless [PERIOD]
pessimistic [AND] combative [AND] sincere [IMPLY] tired [PERIOD]
shiny [AND] bossy [IMPLY] thoughtless [PERIOD]
beautiful [AND] sincere [AND] messy [IMPLY] combative [PERIOD]
curious [AND] beautiful [AND] messy [IMPLY] famous [PERIOD]
tame [IMPLY] tired [PERIOD]
tired [IMPLY] bossy [PERIOD]
bossy [AND] thoughtless [AND] blushing [IMPLY] famous [PERIOD]
tame [AND] bossy [IMPLY] beautiful [PERIOD]
curious [AND] thoughtless [IMPLY] sincere [PERIOD]
famous [AND] beautiful [IMPLY] curious [PERIOD]
pessimistic [AND] fancy [IMPLY] famous [PERIOD]
messy [AND] tired [AND] fancy [IMPLY] bossy [PERIOD]
fancy [AND] beautiful [IMPLY] messy [PERIOD]
pessimistic [IMPLY] combative [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   Cannot apply rule “sincere ∧ pessimistic ∧ worrisome ⇒ bossy” because missing: sincere, pessimistic, worrisome.
   Cannot apply rule “messy ∧ pessimistic ⇒ bossy” because missing: messy, pessimistic.
   Cannot apply rule “tired ⇒ bossy” because missing: tired.
   Cannot apply rule “messy ∧ tired ∧ fancy ⇒ bossy” because missing: messy, tired, fancy.
",0,4
"Facts:  Alice is precious [PERIOD] Alice is helpless [PERIOD] Alice is fancy [PERIOD] Alice is modern [PERIOD]
Rules:
busy [IMPLY] straightforward [PERIOD]
muddy [AND] bright [AND] dull [IMPLY] straightforward [PERIOD]
attentive [IMPLY] elegant [PERIOD]
lonely [AND] curious [IMPLY] vivacious [PERIOD]
elegant [IMPLY] gorgeous [PERIOD]
fancy [IMPLY] attentive [PERIOD]
tense [IMPLY] gorgeous [PERIOD]
gifted [AND] tense [AND] precious [IMPLY] straightforward [PERIOD]
worried [IMPLY] nervous [PERIOD]
vivacious [AND] wrong [IMPLY] curious [PERIOD]
gorgeous [IMPLY] broad-minded [PERIOD]
famous [AND] innocent [AND] fancy [IMPLY] precious [PERIOD]
gorgeous [AND] ugly [AND] dull [IMPLY] wrong [PERIOD]
straightforward [IMPLY] tense [PERIOD]
bright [AND] strange [AND] busy [IMPLY] lonely [PERIOD]
gorgeous [AND] fancy [AND] broad-minded [IMPLY] modern [PERIOD]
ugly [IMPLY] gorgeous [PERIOD]
nervous [AND] worried [IMPLY] gorgeous [PERIOD]
famous [IMPLY] bright [PERIOD]
proud [IMPLY] helpless [PERIOD]
helpless [AND] strange [AND] uptight [IMPLY] innocent [PERIOD]
precious [AND] bright [AND] uptight [IMPLY] attentive [PERIOD]
wrong [AND] elegant [AND] bright [IMPLY] famous [PERIOD]
dull [AND] strange [IMPLY] attentive [PERIOD]
curious [IMPLY] precious [PERIOD]
famous [AND] proud [IMPLY] uptight [PERIOD]
modern [AND] precious [AND] bright [IMPLY] dull [PERIOD]
tense [AND] uptight [AND] helpless [IMPLY] curious [PERIOD]
tense [AND] ugly [IMPLY] lonely [PERIOD]
lonely [IMPLY] worried [PERIOD]
gorgeous [AND] nervous [AND] tense [IMPLY] modern [PERIOD]
attentive [IMPLY] dull [PERIOD]
nervous [IMPLY] gorgeous [PERIOD]
tense [AND] modern [IMPLY] broad-minded [PERIOD]
fearless [AND] gifted [IMPLY] wrong [PERIOD]
fancy [IMPLY] helpless [PERIOD]
proud [AND] innocent [AND] tense [IMPLY] helpless [PERIOD]
proud [AND] gifted [IMPLY] ugly [PERIOD]
vivacious [AND] tense [IMPLY] helpless [PERIOD]
curious [AND] precious [AND] tense [IMPLY] modern [PERIOD]
helpless [IMPLY] dull [PERIOD]
uptight [AND] helpless [AND] tense [IMPLY] modern [PERIOD]
curious [IMPLY] fancy [PERIOD]
uptight [AND] curious [AND] strange [IMPLY] muddy [PERIOD]
precious [AND] modern [AND] busy [IMPLY] strange [PERIOD]
innocent [AND] gorgeous [AND] tense [IMPLY] polite [PERIOD]
vivacious [IMPLY] elegant [PERIOD]
worried [IMPLY] ugly [PERIOD]
curious [AND] ugly [AND] strange [IMPLY] gifted [PERIOD]
nervous [AND] ugly [AND] wrong [IMPLY] modern [PERIOD]
hilarious [AND] tense [IMPLY] lonely [PERIOD]
tense [AND] fearless [IMPLY] precious [PERIOD]
tense [IMPLY] fearless [PERIOD]
precious [AND] famous [IMPLY] worried [PERIOD]
gorgeous [AND] gifted [AND] ugly [IMPLY] innocent [PERIOD]
nervous [IMPLY] vivacious [PERIOD]
precious [IMPLY] tense [PERIOD]
hilarious [IMPLY] strange [PERIOD]
attentive [IMPLY] uptight [PERIOD]
famous [IMPLY] fancy [PERIOD]
worried [IMPLY] busy [PERIOD]
wrong [IMPLY] proud [PERIOD]
straightforward [AND] modern [IMPLY] helpless [PERIOD]
worried [IMPLY] strange [PERIOD]
hilarious [AND] nervous [AND] wrong [IMPLY] vivacious [PERIOD]
polite [IMPLY] vivacious [PERIOD]
nervous [AND] modern [AND] uptight [IMPLY] curious [PERIOD]
ugly [IMPLY] proud [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   fancy ⇒ attentive
   attentive ⇒ uptight
",1,2
"Facts: 
Rules:
adorable [AND] victorious [IMPLY] fancy [PERIOD]
easy [AND] victorious [IMPLY] witty [PERIOD]
weary [AND] adorable [IMPLY] plain [PERIOD]
fancy [AND] victorious [AND] adorable [IMPLY] witty [PERIOD]
witty [AND] weary [IMPLY] easy [PERIOD]
fancy [IMPLY] weary [PERIOD]
adorable [AND] fancy [IMPLY] easy [PERIOD]
victorious [AND] witty [IMPLY] fancy [PERIOD]
fancy [IMPLY] easy [PERIOD]
plain [AND] fancy [IMPLY] victorious [PERIOD]
weary [IMPLY] adorable [PERIOD]
witty [AND] weary [AND] plain [IMPLY] fancy [PERIOD]
easy [AND] plain [AND] victorious [IMPLY] adorable [PERIOD]
victorious [AND] witty [AND] adorable [IMPLY] plain [PERIOD]
easy [IMPLY] witty [PERIOD]
weary [IMPLY] plain [PERIOD]
victorious [IMPLY] easy [PERIOD]
weary [IMPLY] easy [PERIOD]
easy [AND] weary [AND] adorable [IMPLY] witty [PERIOD]
plain [AND] adorable [AND] witty [IMPLY] victorious [PERIOD]
weary [AND] easy [IMPLY] witty [PERIOD]
Query: Alice is witty [PERIOD]","Proof chain:
   Cannot apply rule “easy ∧ victorious ⇒ witty” because missing: easy, victorious.
   Cannot apply rule “fancy ∧ victorious ∧ adorable ⇒ witty” because missing: fancy, victorious, adorable.
   Cannot apply rule “easy ⇒ witty” because missing: easy.
   Cannot apply rule “easy ∧ weary ∧ adorable ⇒ witty” because missing: easy, weary, adorable.
   Cannot apply rule “weary ∧ easy ⇒ witty” because missing: weary, easy.
",0,5
"Facts:  Alice is famous [PERIOD] Alice is elated [PERIOD] Alice is cute [PERIOD]
Rules:
exuberant [AND] proud [IMPLY] elated [PERIOD]
attentive [AND] hypocritical [IMPLY] aggressive [PERIOD]
aggressive [AND] exuberant [AND] busy [IMPLY] serious [PERIOD]
hypocritical [AND] dull [AND] exuberant [IMPLY] proud [PERIOD]
ambitious [AND] busy [IMPLY] exuberant [PERIOD]
serious [AND] plain [AND] exuberant [IMPLY] elated [PERIOD]
hypocritical [AND] plain [IMPLY] cute [PERIOD]
wide-eyed [AND] talkative [IMPLY] serious [PERIOD]
plain [AND] modern [AND] busy [IMPLY] attentive [PERIOD]
excited [AND] wide-eyed [IMPLY] serious [PERIOD]
elated [IMPLY] exuberant [PERIOD]
busy [IMPLY] modern [PERIOD]
plain [IMPLY] exuberant [PERIOD]
attentive [AND] hypocritical [AND] ambitious [IMPLY] famous [PERIOD]
famous [AND] dull [AND] talkative [IMPLY] excited [PERIOD]
busy [AND] elated [AND] serious [IMPLY] cute [PERIOD]
ambitious [IMPLY] hypocritical [PERIOD]
proud [AND] ambitious [AND] modern [IMPLY] wide-eyed [PERIOD]
talkative [AND] serious [IMPLY] ambitious [PERIOD]
wide-eyed [IMPLY] elated [PERIOD]
wide-eyed [IMPLY] hypocritical [PERIOD]
gifted [IMPLY] elated [PERIOD]
famous [AND] gifted [AND] dull [IMPLY] attentive [PERIOD]
serious [AND] hypocritical [IMPLY] plain [PERIOD]
aggressive [AND] plain [AND] talkative [IMPLY] ambitious [PERIOD]
aggressive [AND] wide-eyed [AND] serious [IMPLY] attentive [PERIOD]
proud [IMPLY] modern [PERIOD]
cute [AND] serious [AND] elated [IMPLY] wide-eyed [PERIOD]
excited [IMPLY] attentive [PERIOD]
busy [IMPLY] attentive [PERIOD]
cute [AND] serious [IMPLY] busy [PERIOD]
modern [AND] wide-eyed [AND] busy [IMPLY] proud [PERIOD]
ambitious [AND] wide-eyed [IMPLY] gifted [PERIOD]
aggressive [IMPLY] serious [PERIOD]
gifted [AND] exuberant [AND] excited [IMPLY] famous [PERIOD]
talkative [AND] attentive [IMPLY] excited [PERIOD]
gifted [AND] modern [IMPLY] wide-eyed [PERIOD]
serious [IMPLY] attentive [PERIOD]
proud [AND] excited [IMPLY] talkative [PERIOD]
modern [IMPLY] elated [PERIOD]
famous [IMPLY] modern [PERIOD]
proud [AND] hypocritical [AND] serious [IMPLY] busy [PERIOD]
busy [AND] exuberant [AND] hypocritical [IMPLY] modern [PERIOD]
gifted [AND] hypocritical [IMPLY] famous [PERIOD]
serious [AND] wide-eyed [IMPLY] aggressive [PERIOD]
aggressive [AND] wide-eyed [IMPLY] busy [PERIOD]
serious [AND] aggressive [AND] excited [IMPLY] cute [PERIOD]
dull [AND] busy [AND] gifted [IMPLY] proud [PERIOD]
serious [AND] famous [AND] elated [IMPLY] wide-eyed [PERIOD]
aggressive [AND] famous [IMPLY] serious [PERIOD]
famous [IMPLY] elated [PERIOD]
aggressive [AND] elated [AND] famous [IMPLY] exuberant [PERIOD]
cute [IMPLY] excited [PERIOD]
busy [IMPLY] dull [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   elated ⇒ exuberant
   Cannot apply rule “aggressive ∧ exuberant ∧ busy ⇒ serious” because missing: aggressive, busy.
   Cannot apply rule “wide-eyed ∧ talkative ⇒ serious” because missing: wide-eyed, talkative.
   cute ⇒ excited
   Cannot apply rule “excited ∧ wide-eyed ⇒ serious” because missing: wide-eyed.
   Cannot apply rule “aggressive ⇒ serious” because missing: aggressive.
   Cannot apply rule “aggressive ∧ famous ⇒ serious” because missing: aggressive.
",0,7
"Facts:  Alice is attractive [PERIOD] Alice is foolish [PERIOD] Alice is rational [PERIOD] Alice is frantic [PERIOD] Alice is disobedient [PERIOD] Alice is dishonest [PERIOD] Alice is sensible [PERIOD] Alice is grumpy [PERIOD] Alice is ambitious [PERIOD] Alice is helpful [PERIOD] Alice is selfish [PERIOD] Alice is mean [PERIOD]
Rules:
talented [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] intellectual [PERIOD]
talented [AND] sensible [IMPLY] dishonest [PERIOD]
worrisome [AND] grumpy [AND] mean [IMPLY] frantic [PERIOD]
helpful [AND] dishonest [IMPLY] grumpy [PERIOD]
talented [IMPLY] dishonest [PERIOD]
foolish [AND] helpful [AND] mean [IMPLY] dishonest [PERIOD]
dishonest [AND] selfish [AND] disobedient [IMPLY] grumpy [PERIOD]
attractive [AND] dishonest [IMPLY] foolish [PERIOD]
ambitious [AND] helpful [AND] grumpy [IMPLY] dishonest [PERIOD]
disobedient [AND] helpful [IMPLY] grumpy [PERIOD]
attractive [AND] frantic [AND] rational [IMPLY] sensible [PERIOD]
helpful [AND] ambitious [IMPLY] worrisome [PERIOD]
foolish [IMPLY] frantic [PERIOD]
worrisome [AND] frantic [AND] mean [IMPLY] rational [PERIOD]
ambitious [AND] sensible [AND] grumpy [IMPLY] worrisome [PERIOD]
disobedient [AND] sensible [AND] dishonest [IMPLY] selfish [PERIOD]
helpful [AND] selfish [IMPLY] rational [PERIOD]
intellectual [AND] rational [AND] mean [IMPLY] worrisome [PERIOD]
sensible [IMPLY] dishonest [PERIOD]
rational [AND] grumpy [AND] dishonest [IMPLY] foolish [PERIOD]
ambitious [IMPLY] helpful [PERIOD]
dishonest [AND] selfish [AND] intellectual [IMPLY] attractive [PERIOD]
attractive [AND] grumpy [IMPLY] foolish [PERIOD]
intellectual [IMPLY] rational [PERIOD]
foolish [IMPLY] ambitious [PERIOD]
helpful [AND] rational [IMPLY] talented [PERIOD]
worrisome [IMPLY] attractive [PERIOD]
grumpy [AND] talented [AND] intellectual [IMPLY] frantic [PERIOD]
disobedient [AND] rational [AND] dishonest [IMPLY] helpful [PERIOD]
grumpy [IMPLY] foolish [PERIOD]
grumpy [AND] disobedient [IMPLY] ambitious [PERIOD]
frantic [IMPLY] foolish [PERIOD]
helpful [AND] sensible [IMPLY] rational [PERIOD]
intellectual [AND] selfish [AND] attractive [IMPLY] rational [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   helpful ∧ ambitious ⇒ worrisome
",1,1
"Facts:  Alice is disgusted [PERIOD]
Rules:
naughty [AND] enchanting [AND] amused [IMPLY] disgusted [PERIOD]
pleasant [AND] enchanting [IMPLY] naughty [PERIOD]
pleasant [AND] disgusted [IMPLY] enchanting [PERIOD]
amused [AND] enchanting [IMPLY] pleasant [PERIOD]
disgusted [AND] pleasant [AND] amused [IMPLY] naughty [PERIOD]
naughty [AND] pleasant [IMPLY] disgusted [PERIOD]
pleasant [IMPLY] amused [PERIOD]
disgusted [AND] amused [AND] naughty [IMPLY] pleasant [PERIOD]
disgusted [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] enchanting [PERIOD]
amused [IMPLY] naughty [PERIOD]
pleasant [IMPLY] disgusted [PERIOD]
naughty [AND] amused [IMPLY] disgusted [PERIOD]
enchanting [IMPLY] amused [PERIOD]
enchanting [AND] disgusted [IMPLY] amused [PERIOD]
amused [AND] naughty [AND] disgusted [IMPLY] enchanting [PERIOD]
amused [IMPLY] disgusted [PERIOD]
pleasant [AND] disgusted [AND] amused [IMPLY] enchanting [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   disgusted ⇒ pleasant
   disgusted ⇒ pleasant
   pleasant ⇒ amused
   disgusted ∧ pleasant ∧ amused ⇒ naughty
",1,4
"Facts: 
Rules:
nervous [IMPLY] ugly [PERIOD]
wrong [IMPLY] aggressive [PERIOD]
wrong [AND] polite [AND] aggressive [IMPLY] excited [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   No rule concludes “talkative.”
",0,1
"Facts:  Alice is bad-tempered [PERIOD]
Rules:
crowded [AND] cute [AND] glamorous [IMPLY] elegant [PERIOD]
elegant [IMPLY] victorious [PERIOD]
stormy [AND] bad-tempered [AND] inquisitive [IMPLY] elegant [PERIOD]
glamorous [AND] elegant [IMPLY] confused [PERIOD]
cute [AND] fragile [AND] inquisitive [IMPLY] confused [PERIOD]
elegant [AND] crowded [AND] lucky [IMPLY] confused [PERIOD]
troubled [AND] lucky [AND] victorious [IMPLY] elegant [PERIOD]
stormy [IMPLY] crowded [PERIOD]
troubled [AND] glamorous [AND] fragile [IMPLY] crowded [PERIOD]
stormy [IMPLY] fragile [PERIOD]
rational [AND] cute [IMPLY] stormy [PERIOD]
cute [AND] crowded [AND] victorious [IMPLY] elegant [PERIOD]
rational [IMPLY] lucky [PERIOD]
bad-tempered [IMPLY] inquisitive [PERIOD]
confused [AND] fragile [AND] bad-tempered [IMPLY] victorious [PERIOD]
rational [AND] fragile [AND] confused [IMPLY] cute [PERIOD]
crowded [AND] cute [IMPLY] fragile [PERIOD]
victorious [AND] bad-tempered [AND] elegant [IMPLY] fragile [PERIOD]
crowded [IMPLY] victorious [PERIOD]
troubled [AND] cute [AND] bad-tempered [IMPLY] crowded [PERIOD]
inquisitive [AND] victorious [AND] glamorous [IMPLY] stormy [PERIOD]
confused [AND] cute [IMPLY] fragile [PERIOD]
confused [AND] inquisitive [AND] troubled [IMPLY] crowded [PERIOD]
victorious [AND] confused [AND] elegant [IMPLY] fragile [PERIOD]
cute [AND] glamorous [AND] bad-tempered [IMPLY] troubled [PERIOD]
victorious [IMPLY] bad-tempered [PERIOD]
victorious [AND] rational [IMPLY] glamorous [PERIOD]
cute [AND] elegant [IMPLY] confused [PERIOD]
troubled [IMPLY] rational [PERIOD]
inquisitive [AND] troubled [AND] confused [IMPLY] glamorous [PERIOD]
cute [AND] glamorous [AND] crowded [IMPLY] stormy [PERIOD]
crowded [AND] troubled [AND] confused [IMPLY] victorious [PERIOD]
fragile [AND] stormy [AND] elegant [IMPLY] crowded [PERIOD]
elegant [AND] rational [IMPLY] stormy [PERIOD]
victorious [AND] inquisitive [IMPLY] troubled [PERIOD]
stormy [AND] cute [AND] lucky [IMPLY] rational [PERIOD]
glamorous [IMPLY] stormy [PERIOD]
fragile [AND] glamorous [IMPLY] confused [PERIOD]
confused [IMPLY] elegant [PERIOD]
stormy [AND] lucky [IMPLY] elegant [PERIOD]
crowded [IMPLY] fragile [PERIOD]
troubled [AND] inquisitive [IMPLY] crowded [PERIOD]
confused [IMPLY] bad-tempered [PERIOD]
inquisitive [AND] bad-tempered [AND] crowded [IMPLY] lucky [PERIOD]
glamorous [AND] fragile [AND] confused [IMPLY] bad-tempered [PERIOD]
elegant [IMPLY] troubled [PERIOD]
fragile [AND] inquisitive [AND] rational [IMPLY] troubled [PERIOD]
confused [AND] stormy [AND] rational [IMPLY] bad-tempered [PERIOD]
lucky [IMPLY] stormy [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   Cannot apply rule “rational ∧ cute ⇒ stormy” because missing: rational, cute.
   bad-tempered ⇒ inquisitive
   Cannot apply rule “inquisitive ∧ victorious ∧ glamorous ⇒ stormy” because missing: victorious, glamorous.
   Cannot apply rule “cute ∧ glamorous ∧ crowded ⇒ stormy” because missing: cute, glamorous, crowded.
   Cannot apply rule “elegant ∧ rational ⇒ stormy” because missing: elegant, rational.
   Cannot apply rule “glamorous ⇒ stormy” because missing: glamorous.
   Cannot apply rule “lucky ⇒ stormy” because missing: lucky.
",0,7
"Facts:  Alice is friendly [PERIOD] Alice is excited [PERIOD] Alice is enchanting [PERIOD] Alice is condemned [PERIOD] Alice is smart [PERIOD] Alice is wrong [PERIOD] Alice is light [PERIOD]
Rules:
light [AND] charming [IMPLY] wrong [PERIOD]
homely [AND] excited [IMPLY] light [PERIOD]
enchanting [AND] charming [IMPLY] homely [PERIOD]
condemned [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] friendly [PERIOD]
charming [IMPLY] smart [PERIOD]
wrong [AND] outstanding [AND] charming [IMPLY] friendly [PERIOD]
outstanding [IMPLY] smart [PERIOD]
average [IMPLY] enchanting [PERIOD]
rude [AND] enchanting [IMPLY] charming [PERIOD]
light [AND] condemned [AND] smart [IMPLY] friendly [PERIOD]
enchanting [AND] outstanding [AND] homely [IMPLY] light [PERIOD]
excited [AND] light [IMPLY] wrong [PERIOD]
excited [AND] smart [AND] enchanting [IMPLY] rude [PERIOD]
smart [AND] enchanting [AND] outstanding [IMPLY] excited [PERIOD]
enchanting [IMPLY] friendly [PERIOD]
smart [AND] outstanding [AND] condemned [IMPLY] friendly [PERIOD]
rude [AND] friendly [AND] smart [IMPLY] average [PERIOD]
excited [IMPLY] average [PERIOD]
enchanting [IMPLY] average [PERIOD]
enchanting [AND] homely [IMPLY] light [PERIOD]
wrong [AND] enchanting [AND] homely [IMPLY] condemned [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   condemned ⇒ outstanding
",1,1
"Facts:  Alice is impatient [PERIOD] Alice is dull [PERIOD]
Rules:
clumsy [AND] mean [AND] dull [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] sleepy [PERIOD]
polite [AND] helpless [AND] ambitious [IMPLY] dull [PERIOD]
dull [AND] mean [IMPLY] sleepy [PERIOD]
sleepy [IMPLY] mean [PERIOD]
ambitious [AND] embarrassed [AND] impatient [IMPLY] dull [PERIOD]
polite [IMPLY] helpless [PERIOD]
polite [AND] clumsy [IMPLY] helpless [PERIOD]
helpless [AND] clumsy [IMPLY] embarrassed [PERIOD]
embarrassed [AND] polite [IMPLY] helpless [PERIOD]
sleepy [AND] dull [AND] clumsy [IMPLY] ambitious [PERIOD]
polite [AND] dull [AND] clumsy [IMPLY] embarrassed [PERIOD]
clumsy [IMPLY] polite [PERIOD]
polite [IMPLY] clumsy [PERIOD]
helpless [AND] dull [IMPLY] sleepy [PERIOD]
ambitious [AND] clumsy [IMPLY] mean [PERIOD]
ambitious [AND] helpless [IMPLY] embarrassed [PERIOD]
clumsy [AND] polite [IMPLY] embarrassed [PERIOD]
mean [IMPLY] impatient [PERIOD]
impatient [AND] clumsy [IMPLY] helpless [PERIOD]
sleepy [AND] polite [IMPLY] helpless [PERIOD]
mean [IMPLY] ambitious [PERIOD]
dull [AND] sleepy [AND] ambitious [IMPLY] embarrassed [PERIOD]
polite [AND] impatient [AND] embarrassed [IMPLY] sleepy [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   Cannot apply rule “ambitious ⇒ sleepy” because missing: ambitious.
   Cannot apply rule “dull ∧ mean ⇒ sleepy” because missing: mean.
   Cannot apply rule “helpless ∧ dull ⇒ sleepy” because missing: helpless.
   Cannot apply rule “polite ∧ impatient ∧ embarrassed ⇒ sleepy” because missing: polite, embarrassed.
",0,4
"Facts: 
Rules:
inexpensive [AND] worried [AND] versatile [IMPLY] popular [PERIOD]
crowded [AND] worried [IMPLY] inexpensive [PERIOD]
worried [AND] popular [IMPLY] inexpensive [PERIOD]
versatile [AND] popular [AND] crowded [IMPLY] inexpensive [PERIOD]
crowded [IMPLY] versatile [PERIOD]
worried [IMPLY] inexpensive [PERIOD]
crowded [AND] inexpensive [IMPLY] versatile [PERIOD]
worried [AND] popular [AND] crowded [IMPLY] inexpensive [PERIOD]
versatile [AND] popular [IMPLY] crowded [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   Cannot apply rule “crowded ∧ worried ⇒ inexpensive” because missing: crowded, worried.
   Cannot apply rule “worried ∧ popular ⇒ inexpensive” because missing: worried, popular.
   Cannot apply rule “versatile ∧ popular ∧ crowded ⇒ inexpensive” because missing: versatile, popular, crowded.
   Cannot apply rule “worried ⇒ inexpensive” because missing: worried.
   Cannot apply rule “worried ∧ popular ∧ crowded ⇒ inexpensive” because missing: worried, popular, crowded.
",0,5
"Facts:  Alice is tired [PERIOD] Alice is good [PERIOD] Alice is gleaming [PERIOD]
Rules:
gleaming [AND] easy [IMPLY] pessimistic [PERIOD]
easy [AND] bad-tempered [AND] worried [IMPLY] stubborn [PERIOD]
strange [IMPLY] foolish [PERIOD]
alert [AND] attractive [IMPLY] difficult [PERIOD]
innocent [IMPLY] strange [PERIOD]
distinct [IMPLY] bossy [PERIOD]
quaint [AND] stubborn [AND] thoughtless [IMPLY] strange [PERIOD]
troubled [AND] curious [IMPLY] quaint [PERIOD]
aggressive [AND] difficult [AND] horrible [IMPLY] easy [PERIOD]
aggressive [AND] troubled [IMPLY] thoughtless [PERIOD]
gleaming [AND] strange [AND] troubled [IMPLY] alert [PERIOD]
alert [IMPLY] distinct [PERIOD]
distinct [IMPLY] pessimistic [PERIOD]
aggressive [AND] bad-tempered [IMPLY] stubborn [PERIOD]
zealous [AND] bossy [IMPLY] innocent [PERIOD]
spotless [AND] foolish [AND] proud [IMPLY] easy [PERIOD]
tired [AND] thoughtless [AND] horrible [IMPLY] zealous [PERIOD]
outrageous [AND] distinct [IMPLY] strange [PERIOD]
easy [IMPLY] average [PERIOD]
attractive [IMPLY] curious [PERIOD]
zealous [AND] gleaming [AND] horrible [IMPLY] distinct [PERIOD]
bad-tempered [AND] worried [IMPLY] difficult [PERIOD]
hypocritical [AND] troubled [IMPLY] innocent [PERIOD]
good [AND] zealous [AND] tired [IMPLY] spotless [PERIOD]
quaint [AND] stubborn [AND] tired [IMPLY] pessimistic [PERIOD]
distinct [AND] hypocritical [AND] tired [IMPLY] excited [PERIOD]
bossy [AND] distinct [IMPLY] spotless [PERIOD]
difficult [AND] alert [AND] good [IMPLY] easy [PERIOD]
average [AND] easy [AND] spotless [IMPLY] gleaming [PERIOD]
easy [AND] foolish [AND] outrageous [IMPLY] pessimistic [PERIOD]
zealous [IMPLY] strange [PERIOD]
worried [AND] tired [AND] distinct [IMPLY] bad-tempered [PERIOD]
distinct [AND] tired [AND] excited [IMPLY] bossy [PERIOD]
bossy [IMPLY] good [PERIOD]
bossy [IMPLY] difficult [PERIOD]
difficult [AND] quaint [IMPLY] proud [PERIOD]
proud [AND] tired [AND] easy [IMPLY] innocent [PERIOD]
foolish [IMPLY] average [PERIOD]
curious [AND] excited [AND] foolish [IMPLY] hypocritical [PERIOD]
quaint [AND] distinct [IMPLY] thoughtless [PERIOD]
troubled [IMPLY] stubborn [PERIOD]
difficult [AND] outrageous [AND] stubborn [IMPLY] good [PERIOD]
zealous [IMPLY] horrible [PERIOD]
excited [AND] tired [AND] aggressive [IMPLY] attractive [PERIOD]
quaint [AND] alert [AND] foolish [IMPLY] aggressive [PERIOD]
stubborn [AND] attractive [IMPLY] hypocritical [PERIOD]
bossy [AND] proud [AND] stubborn [IMPLY] alert [PERIOD]
alert [AND] excited [AND] good [IMPLY] tired [PERIOD]
innocent [AND] tired [IMPLY] troubled [PERIOD]
curious [AND] strange [IMPLY] bad-tempered [PERIOD]
excited [AND] proud [IMPLY] worried [PERIOD]
outrageous [AND] curious [AND] excited [IMPLY] zealous [PERIOD]
tired [AND] good [AND] quaint [IMPLY] zealous [PERIOD]
quaint [IMPLY] worried [PERIOD]
horrible [AND] gleaming [IMPLY] curious [PERIOD]
hurt [AND] thoughtless [AND] proud [IMPLY] bossy [PERIOD]
hypocritical [IMPLY] distinct [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   Cannot apply rule “good ∧ zealous ∧ tired ⇒ spotless” because missing: zealous.
   Cannot apply rule “bossy ∧ distinct ⇒ spotless” because missing: bossy, distinct.
",0,2
"Facts:  Alice is cute [PERIOD] Alice is broad-minded [PERIOD] Alice is beautiful [PERIOD]
Rules:
modern [IMPLY] bored [PERIOD]
modern [AND] broad-minded [AND] bored [IMPLY] cute [PERIOD]
perfect [IMPLY] bored [PERIOD]
inexpensive [AND] grumpy [AND] cute [IMPLY] hilarious [PERIOD]
hilarious [AND] bored [IMPLY] perfect [PERIOD]
modern [AND] beautiful [AND] cute [IMPLY] inexpensive [PERIOD]
cute [IMPLY] broad-minded [PERIOD]
beautiful [IMPLY] inexpensive [PERIOD]
modern [AND] grumpy [AND] cute [IMPLY] beautiful [PERIOD]
broad-minded [AND] inexpensive [AND] modern [IMPLY] perfect [PERIOD]
hilarious [AND] beautiful [AND] modern [IMPLY] grumpy [PERIOD]
broad-minded [IMPLY] bored [PERIOD]
bored [AND] broad-minded [IMPLY] cute [PERIOD]
inexpensive [AND] cute [AND] bored [IMPLY] beautiful [PERIOD]
grumpy [IMPLY] broad-minded [PERIOD]
smart [AND] grumpy [IMPLY] cute [PERIOD]
beautiful [AND] inexpensive [AND] cute [IMPLY] hilarious [PERIOD]
broad-minded [IMPLY] inexpensive [PERIOD]
grumpy [AND] hilarious [IMPLY] cute [PERIOD]
bored [AND] cute [IMPLY] beautiful [PERIOD]
perfect [AND] cute [IMPLY] grumpy [PERIOD]
cute [IMPLY] grumpy [PERIOD]
broad-minded [IMPLY] grumpy [PERIOD]
perfect [IMPLY] inexpensive [PERIOD]
grumpy [AND] bored [IMPLY] inexpensive [PERIOD]
grumpy [IMPLY] modern [PERIOD]
broad-minded [IMPLY] smart [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   beautiful ⇒ inexpensive
   broad-minded ⇒ grumpy
   inexpensive ∧ grumpy ∧ cute ⇒ hilarious
   broad-minded ⇒ bored
   hilarious ∧ bored ⇒ perfect
",1,5
"Facts:  Alice is tidy [PERIOD]
Rules:
selfish [AND] reserved [AND] diplomatic [IMPLY] beautiful [PERIOD]
unpleasant [AND] difficult [IMPLY] crowded [PERIOD]
intellectual [AND] alert [AND] powerful [IMPLY] jittery [PERIOD]
difficult [IMPLY] helpful [PERIOD]
tidy [AND] frail [IMPLY] beautiful [PERIOD]
jittery [IMPLY] reserved [PERIOD]
alert [AND] weary [AND] crowded [IMPLY] diplomatic [PERIOD]
disobedient [IMPLY] long [PERIOD]
crowded [AND] alert [AND] anxious [IMPLY] combative [PERIOD]
selfish [IMPLY] helpful [PERIOD]
weary [AND] selfish [IMPLY] amused [PERIOD]
difficult [AND] reserved [AND] long [IMPLY] intellectual [PERIOD]
adorable [AND] diplomatic [IMPLY] anxious [PERIOD]
long [AND] pessimistic [IMPLY] alert [PERIOD]
jittery [AND] dull [IMPLY] difficult [PERIOD]
frail [AND] intellectual [AND] pessimistic [IMPLY] beautiful [PERIOD]
anxious [IMPLY] crowded [PERIOD]
disobedient [IMPLY] tidy [PERIOD]
combative [AND] amused [AND] adorable [IMPLY] frail [PERIOD]
frail [AND] disobedient [IMPLY] unpleasant [PERIOD]
jittery [AND] alert [IMPLY] weary [PERIOD]
tidy [AND] intellectual [IMPLY] diplomatic [PERIOD]
intellectual [AND] combative [AND] amused [IMPLY] jittery [PERIOD]
beautiful [IMPLY] helpful [PERIOD]
disobedient [AND] pessimistic [IMPLY] difficult [PERIOD]
frail [IMPLY] dull [PERIOD]
crowded [AND] selfish [AND] long [IMPLY] tidy [PERIOD]
jittery [AND] tidy [AND] alert [IMPLY] diplomatic [PERIOD]
dull [AND] crowded [IMPLY] reserved [PERIOD]
unpleasant [IMPLY] selfish [PERIOD]
alert [IMPLY] diplomatic [PERIOD]
cruel [AND] tidy [IMPLY] pessimistic [PERIOD]
combative [AND] alert [IMPLY] powerful [PERIOD]
adorable [AND] long [IMPLY] beautiful [PERIOD]
anxious [AND] alert [AND] dull [IMPLY] frail [PERIOD]
combative [IMPLY] reserved [PERIOD]
anxious [AND] frail [IMPLY] powerful [PERIOD]
amused [IMPLY] tidy [PERIOD]
weary [AND] diplomatic [IMPLY] adorable [PERIOD]
frail [AND] weary [IMPLY] unpleasant [PERIOD]
weary [AND] pessimistic [AND] combative [IMPLY] beautiful [PERIOD]
combative [IMPLY] long [PERIOD]
jittery [AND] difficult [IMPLY] crowded [PERIOD]
weary [AND] helpful [IMPLY] amused [PERIOD]
powerful [IMPLY] diplomatic [PERIOD]
amused [IMPLY] anxious [PERIOD]
amused [AND] reserved [AND] frail [IMPLY] intellectual [PERIOD]
powerful [IMPLY] beautiful [PERIOD]
helpful [AND] long [IMPLY] frail [PERIOD]
diplomatic [AND] jittery [IMPLY] long [PERIOD]
beautiful [AND] disobedient [AND] amused [IMPLY] jittery [PERIOD]
jittery [AND] intellectual [AND] diplomatic [IMPLY] combative [PERIOD]
selfish [IMPLY] frail [PERIOD]
selfish [IMPLY] reserved [PERIOD]
long [AND] adorable [AND] selfish [IMPLY] jittery [PERIOD]
diplomatic [IMPLY] crowded [PERIOD]
weary [AND] powerful [AND] cruel [IMPLY] diplomatic [PERIOD]
selfish [AND] diplomatic [IMPLY] amused [PERIOD]
combative [AND] reserved [AND] intellectual [IMPLY] crowded [PERIOD]
combative [IMPLY] helpful [PERIOD]
dull [AND] jittery [IMPLY] helpful [PERIOD]
difficult [AND] adorable [IMPLY] jittery [PERIOD]
pessimistic [AND] difficult [IMPLY] reserved [PERIOD]
weary [IMPLY] crowded [PERIOD]
weary [AND] pessimistic [AND] disobedient [IMPLY] beautiful [PERIOD]
difficult [AND] pessimistic [IMPLY] diplomatic [PERIOD]
weary [AND] jittery [IMPLY] selfish [PERIOD]
jittery [AND] crowded [AND] amused [IMPLY] unpleasant [PERIOD]
powerful [AND] amused [IMPLY] helpful [PERIOD]
long [IMPLY] unpleasant [PERIOD]
dull [AND] long [AND] anxious [IMPLY] disobedient [PERIOD]
unpleasant [AND] dull [AND] cruel [IMPLY] weary [PERIOD]
unpleasant [AND] weary [AND] reserved [IMPLY] crowded [PERIOD]
selfish [IMPLY] disobedient [PERIOD]
alert [AND] powerful [IMPLY] selfish [PERIOD]
frail [IMPLY] difficult [PERIOD]
long [AND] weary [AND] helpful [IMPLY] diplomatic [PERIOD]
adorable [AND] reserved [IMPLY] anxious [PERIOD]
combative [AND] intellectual [AND] frail [IMPLY] adorable [PERIOD]
combative [AND] helpful [IMPLY] amused [PERIOD]
long [AND] anxious [IMPLY] tidy [PERIOD]
disobedient [AND] long [AND] intellectual [IMPLY] unpleasant [PERIOD]
Query: Alice is helpful [PERIOD]","Proof chain:
   Cannot apply rule “difficult ⇒ helpful” because missing: difficult.
   Cannot apply rule “selfish ⇒ helpful” because missing: selfish.
   Cannot apply rule “beautiful ⇒ helpful” because missing: beautiful.
   Cannot apply rule “combative ⇒ helpful” because missing: combative.
   Cannot apply rule “dull ∧ jittery ⇒ helpful” because missing: dull, jittery.
   Cannot apply rule “powerful ∧ amused ⇒ helpful” because missing: powerful, amused.
",0,6
"Facts:  Alice is fearless [PERIOD] Alice is famous [PERIOD] Alice is lucky [PERIOD] Alice is tense [PERIOD] Alice is hypocritical [PERIOD] Alice is crowded [PERIOD]
Rules:
talented [AND] naughty [AND] frantic [IMPLY] stupid [PERIOD]
naughty [IMPLY] frantic [PERIOD]
sincere [IMPLY] straightforward [PERIOD]
comfortable [AND] hypocritical [IMPLY] supportive [PERIOD]
hypocritical [IMPLY] sincere [PERIOD]
fearless [AND] crowded [AND] stupid [IMPLY] worrisome [PERIOD]
lonely [IMPLY] naughty [PERIOD]
frantic [IMPLY] talkative [PERIOD]
frantic [IMPLY] talented [PERIOD]
condemned [IMPLY] supportive [PERIOD]
sincere [AND] supportive [IMPLY] talented [PERIOD]
condemned [AND] supportive [AND] talented [IMPLY] naughty [PERIOD]
amused [AND] hypocritical [AND] fearless [IMPLY] stupid [PERIOD]
alert [IMPLY] talkative [PERIOD]
lonely [AND] comfortable [IMPLY] inexpensive [PERIOD]
crowded [AND] charming [AND] tense [IMPLY] sincere [PERIOD]
bossy [AND] worrisome [AND] elated [IMPLY] tense [PERIOD]
comfortable [IMPLY] fearless [PERIOD]
talented [IMPLY] frantic [PERIOD]
lonely [IMPLY] inexpensive [PERIOD]
elated [AND] supportive [IMPLY] stupid [PERIOD]
elated [AND] worrisome [AND] inexpensive [IMPLY] naughty [PERIOD]
fearless [AND] famous [AND] talkative [IMPLY] naughty [PERIOD]
frantic [AND] sincere [IMPLY] straightforward [PERIOD]
straightforward [AND] hypocritical [AND] sincere [IMPLY] talkative [PERIOD]
naughty [AND] tense [IMPLY] alert [PERIOD]
talented [IMPLY] comfortable [PERIOD]
troubled [IMPLY] sincere [PERIOD]
talkative [AND] alert [IMPLY] inexpensive [PERIOD]
talented [AND] elated [IMPLY] condemned [PERIOD]
fearless [IMPLY] tense [PERIOD]
talkative [IMPLY] troubled [PERIOD]
lucky [AND] tense [IMPLY] famous [PERIOD]
lucky [IMPLY] troubled [PERIOD]
comfortable [IMPLY] talkative [PERIOD]
hypocritical [AND] fearless [IMPLY] straightforward [PERIOD]
naughty [IMPLY] supportive [PERIOD]
condemned [AND] elated [IMPLY] supportive [PERIOD]
lucky [IMPLY] charming [PERIOD]
charming [AND] alert [AND] condemned [IMPLY] stupid [PERIOD]
fearless [AND] bossy [AND] amused [IMPLY] famous [PERIOD]
tense [AND] crowded [IMPLY] comfortable [PERIOD]
crowded [AND] straightforward [IMPLY] bossy [PERIOD]
naughty [IMPLY] talkative [PERIOD]
worrisome [AND] elated [AND] sincere [IMPLY] inexpensive [PERIOD]
lucky [AND] supportive [AND] famous [IMPLY] lonely [PERIOD]
charming [IMPLY] naughty [PERIOD]
straightforward [AND] naughty [IMPLY] inexpensive [PERIOD]
naughty [IMPLY] straightforward [PERIOD]
frantic [AND] tense [AND] stupid [IMPLY] bossy [PERIOD]
alert [IMPLY] supportive [PERIOD]
condemned [AND] troubled [AND] lonely [IMPLY] straightforward [PERIOD]
comfortable [AND] sincere [IMPLY] crowded [PERIOD]
bossy [AND] fearless [AND] troubled [IMPLY] stupid [PERIOD]
worrisome [IMPLY] inexpensive [PERIOD]
famous [AND] crowded [AND] elated [IMPLY] fearless [PERIOD]
talkative [AND] condemned [AND] frantic [IMPLY] charming [PERIOD]
inexpensive [AND] worrisome [IMPLY] fearless [PERIOD]
alert [AND] frantic [IMPLY] talkative [PERIOD]
straightforward [AND] comfortable [IMPLY] elated [PERIOD]
supportive [AND] condemned [AND] worrisome [IMPLY] talented [PERIOD]
lonely [AND] fearless [AND] hypocritical [IMPLY] inexpensive [PERIOD]
stupid [AND] famous [IMPLY] crowded [PERIOD]
troubled [AND] frantic [IMPLY] charming [PERIOD]
straightforward [IMPLY] sincere [PERIOD]
condemned [IMPLY] inexpensive [PERIOD]
fearless [AND] frantic [IMPLY] worrisome [PERIOD]
worrisome [AND] sincere [AND] crowded [IMPLY] charming [PERIOD]
frantic [IMPLY] lucky [PERIOD]
talkative [AND] bossy [IMPLY] talented [PERIOD]
alert [IMPLY] frantic [PERIOD]
amused [AND] fearless [IMPLY] naughty [PERIOD]
hypocritical [IMPLY] lonely [PERIOD]
elated [AND] straightforward [IMPLY] fearless [PERIOD]
sincere [AND] condemned [AND] famous [IMPLY] alert [PERIOD]
amused [IMPLY] talkative [PERIOD]
crowded [IMPLY] naughty [PERIOD]
naughty [AND] tense [AND] lonely [IMPLY] talented [PERIOD]
stupid [IMPLY] lucky [PERIOD]
alert [IMPLY] inexpensive [PERIOD]
amused [IMPLY] charming [PERIOD]
stupid [AND] frantic [IMPLY] inexpensive [PERIOD]
charming [AND] elated [AND] lucky [IMPLY] worrisome [PERIOD]
condemned [IMPLY] lucky [PERIOD]
famous [IMPLY] naughty [PERIOD]
stupid [IMPLY] talkative [PERIOD]
bossy [IMPLY] talkative [PERIOD]
troubled [IMPLY] crowded [PERIOD]
naughty [AND] charming [AND] bossy [IMPLY] condemned [PERIOD]
sincere [IMPLY] alert [PERIOD]
hypocritical [AND] worrisome [IMPLY] crowded [PERIOD]
amused [AND] stupid [AND] famous [IMPLY] lucky [PERIOD]
talented [AND] hypocritical [AND] inexpensive [IMPLY] crowded [PERIOD]
naughty [IMPLY] sincere [PERIOD]
lonely [IMPLY] fearless [PERIOD]
hypocritical [IMPLY] straightforward [PERIOD]
crowded [AND] worrisome [IMPLY] straightforward [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   hypocritical ∧ fearless ⇒ straightforward
   crowded ∧ straightforward ⇒ bossy
   lucky ⇒ troubled
   bossy ∧ fearless ∧ troubled ⇒ stupid
",1,4
"Facts:  Alice is impartial [PERIOD]
Rules:
quaint [IMPLY] vivacious [PERIOD]
tidy [AND] ugliest [AND] victorious [IMPLY] quaint [PERIOD]
tidy [IMPLY] impartial [PERIOD]
proud [AND] frantic [AND] impartial [IMPLY] vivacious [PERIOD]
proud [AND] impartial [IMPLY] tidy [PERIOD]
proud [AND] ugliest [AND] quaint [IMPLY] impartial [PERIOD]
lucky [AND] vivacious [AND] frantic [IMPLY] impartial [PERIOD]
frantic [IMPLY] proud [PERIOD]
victorious [AND] quaint [AND] lucky [IMPLY] vivacious [PERIOD]
proud [IMPLY] lucky [PERIOD]
ugliest [AND] vivacious [IMPLY] tidy [PERIOD]
victorious [AND] impartial [IMPLY] quaint [PERIOD]
quaint [AND] proud [IMPLY] victorious [PERIOD]
vivacious [AND] frantic [IMPLY] victorious [PERIOD]
quaint [AND] frantic [IMPLY] proud [PERIOD]
ugliest [IMPLY] victorious [PERIOD]
proud [AND] ugliest [IMPLY] tidy [PERIOD]
victorious [AND] vivacious [AND] frantic [IMPLY] proud [PERIOD]
victorious [AND] ugliest [IMPLY] impartial [PERIOD]
proud [AND] lucky [AND] vivacious [IMPLY] impartial [PERIOD]
frantic [AND] quaint [AND] vivacious [IMPLY] ugliest [PERIOD]
proud [IMPLY] victorious [PERIOD]
lucky [IMPLY] victorious [PERIOD]
lucky [AND] victorious [IMPLY] frantic [PERIOD]
ugliest [AND] frantic [IMPLY] impartial [PERIOD]
victorious [AND] lucky [AND] frantic [IMPLY] impartial [PERIOD]
frantic [AND] quaint [IMPLY] lucky [PERIOD]
vivacious [AND] ugliest [AND] frantic [IMPLY] victorious [PERIOD]
tidy [AND] ugliest [IMPLY] frantic [PERIOD]
ugliest [AND] lucky [IMPLY] tidy [PERIOD]
quaint [AND] tidy [AND] frantic [IMPLY] ugliest [PERIOD]
proud [AND] frantic [IMPLY] impartial [PERIOD]
tidy [IMPLY] proud [PERIOD]
proud [IMPLY] quaint [PERIOD]
vivacious [IMPLY] ugliest [PERIOD]
vivacious [IMPLY] tidy [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
   Cannot apply rule “frantic ∧ quaint ∧ vivacious ⇒ ugliest” because missing: frantic, quaint, vivacious.
   Cannot apply rule “quaint ∧ tidy ∧ frantic ⇒ ugliest” because missing: quaint, tidy, frantic.
   Cannot apply rule “vivacious ⇒ ugliest” because missing: vivacious.
",0,3
"Facts: 
Rules:
glamorous [AND] light [IMPLY] homely [PERIOD]
helpful [AND] homely [IMPLY] excited [PERIOD]
courageous [AND] confused [IMPLY] pessimistic [PERIOD]
light [IMPLY] elegant [PERIOD]
courageous [IMPLY] attractive [PERIOD]
pessimistic [AND] glamorous [AND] attractive [IMPLY] rude [PERIOD]
fragile [IMPLY] homely [PERIOD]
helpful [AND] tired [AND] clean [IMPLY] attractive [PERIOD]
fragile [IMPLY] confused [PERIOD]
helpful [AND] fancy [IMPLY] elegant [PERIOD]
helpful [AND] rude [AND] glamorous [IMPLY] clean [PERIOD]
glamorous [IMPLY] cruel [PERIOD]
fragile [IMPLY] helpful [PERIOD]
light [AND] loving [IMPLY] pessimistic [PERIOD]
rude [IMPLY] excited [PERIOD]
light [AND] tired [IMPLY] loving [PERIOD]
glamorous [IMPLY] attractive [PERIOD]
rude [AND] courageous [IMPLY] tired [PERIOD]
fragile [AND] clean [IMPLY] courageous [PERIOD]
confused [AND] agreeable [AND] elegant [IMPLY] attractive [PERIOD]
thoughtful [IMPLY] clean [PERIOD]
agreeable [AND] courageous [AND] homely [IMPLY] cruel [PERIOD]
tired [IMPLY] rude [PERIOD]
fancy [AND] glamorous [AND] rude [IMPLY] fragile [PERIOD]
courageous [AND] light [IMPLY] agreeable [PERIOD]
courageous [AND] thoughtful [AND] confused [IMPLY] attractive [PERIOD]
confused [AND] fancy [AND] glamorous [IMPLY] loving [PERIOD]
pessimistic [AND] excited [IMPLY] homely [PERIOD]
pessimistic [AND] clean [IMPLY] homely [PERIOD]
homely [AND] clean [AND] fragile [IMPLY] confused [PERIOD]
helpful [AND] loving [IMPLY] light [PERIOD]
agreeable [AND] glamorous [IMPLY] fragile [PERIOD]
tired [AND] fragile [IMPLY] courageous [PERIOD]
thoughtful [AND] cruel [AND] pessimistic [IMPLY] homely [PERIOD]
homely [AND] agreeable [AND] helpful [IMPLY] attractive [PERIOD]
excited [AND] homely [IMPLY] agreeable [PERIOD]
fancy [AND] clean [IMPLY] elegant [PERIOD]
fancy [AND] pessimistic [IMPLY] homely [PERIOD]
pessimistic [AND] confused [AND] attractive [IMPLY] glamorous [PERIOD]
elegant [AND] courageous [AND] homely [IMPLY] glamorous [PERIOD]
helpful [AND] loving [AND] fancy [IMPLY] confused [PERIOD]
rude [AND] clean [IMPLY] excited [PERIOD]
courageous [IMPLY] fragile [PERIOD]
rude [IMPLY] light [PERIOD]
helpful [AND] glamorous [AND] pessimistic [IMPLY] thoughtful [PERIOD]
loving [IMPLY] helpful [PERIOD]
agreeable [IMPLY] attractive [PERIOD]
tired [AND] clean [IMPLY] courageous [PERIOD]
helpful [AND] light [IMPLY] glamorous [PERIOD]
homely [AND] excited [IMPLY] light [PERIOD]
glamorous [AND] confused [IMPLY] cruel [PERIOD]
clean [IMPLY] confused [PERIOD]
attractive [AND] cruel [AND] courageous [IMPLY] light [PERIOD]
helpful [AND] elegant [AND] agreeable [IMPLY] fancy [PERIOD]
attractive [IMPLY] glamorous [PERIOD]
elegant [IMPLY] light [PERIOD]
loving [AND] elegant [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] excited [PERIOD]
elegant [AND] tired [AND] pessimistic [IMPLY] fancy [PERIOD]
homely [AND] agreeable [IMPLY] rude [PERIOD]
agreeable [IMPLY] elegant [PERIOD]
glamorous [IMPLY] pessimistic [PERIOD]
light [AND] tired [AND] elegant [IMPLY] cruel [PERIOD]
attractive [AND] helpful [IMPLY] pessimistic [PERIOD]
courageous [IMPLY] rude [PERIOD]
thoughtful [AND] fragile [IMPLY] cruel [PERIOD]
pessimistic [AND] helpful [IMPLY] homely [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   Cannot apply rule “helpful ∧ homely ⇒ excited” because missing: helpful, homely.
   Cannot apply rule “rude ⇒ excited” because missing: rude.
   Cannot apply rule “rude ∧ clean ⇒ excited” because missing: rude, clean.
   Cannot apply rule “glamorous ⇒ excited” because missing: glamorous.
",0,4
"Facts: 
Rules:
frightened [AND] broad-minded [AND] hypocritical [IMPLY] curious [PERIOD]
confused [AND] troubled [IMPLY] comfortable [PERIOD]
lonely [AND] talented [AND] comfortable [IMPLY] frightened [PERIOD]
anxious [AND] broad-minded [AND] clean [IMPLY] mean [PERIOD]
wrong [IMPLY] hypocritical [PERIOD]
cute [AND] inexpensive [IMPLY] worrisome [PERIOD]
talented [AND] weary [AND] frightened [IMPLY] troubled [PERIOD]
powerful [IMPLY] clean [PERIOD]
powerful [AND] wrong [AND] average [IMPLY] easy [PERIOD]
inexpensive [AND] joyous [IMPLY] broad-minded [PERIOD]
frightened [IMPLY] broad-minded [PERIOD]
frightened [AND] confused [AND] mean [IMPLY] weary [PERIOD]
anxious [AND] comfortable [IMPLY] troubled [PERIOD]
confused [AND] easy [IMPLY] troubled [PERIOD]
frightened [IMPLY] troubled [PERIOD]
cute [AND] blushing [IMPLY] frightened [PERIOD]
troubled [AND] talented [AND] blushing [IMPLY] clean [PERIOD]
joyous [AND] powerful [IMPLY] hypocritical [PERIOD]
mean [IMPLY] exuberant [PERIOD]
curious [AND] weary [IMPLY] different [PERIOD]
mean [AND] different [AND] worrisome [IMPLY] lonely [PERIOD]
powerful [AND] cute [AND] joyous [IMPLY] muddy [PERIOD]
anxious [AND] exuberant [IMPLY] troubled [PERIOD]
frail [AND] broad-minded [AND] exuberant [IMPLY] lonely [PERIOD]
muddy [AND] friendly [IMPLY] confused [PERIOD]
different [AND] wrong [IMPLY] average [PERIOD]
anxious [AND] weary [IMPLY] comfortable [PERIOD]
mean [AND] confused [IMPLY] frail [PERIOD]
lonely [AND] curious [IMPLY] hypocritical [PERIOD]
confused [AND] wrong [IMPLY] frightened [PERIOD]
worrisome [AND] broad-minded [IMPLY] anxious [PERIOD]
curious [AND] worrisome [IMPLY] blushing [PERIOD]
exuberant [IMPLY] broad-minded [PERIOD]
broad-minded [AND] powerful [AND] average [IMPLY] clean [PERIOD]
worrisome [IMPLY] talented [PERIOD]
troubled [AND] worrisome [IMPLY] frightened [PERIOD]
curious [IMPLY] mean [PERIOD]
friendly [AND] clean [IMPLY] comfortable [PERIOD]
troubled [AND] frail [IMPLY] anxious [PERIOD]
lonely [AND] clean [AND] exuberant [IMPLY] comfortable [PERIOD]
frightened [AND] mean [AND] cute [IMPLY] lonely [PERIOD]
clean [AND] hypocritical [AND] worrisome [IMPLY] joyous [PERIOD]
blushing [AND] hypocritical [AND] powerful [IMPLY] worrisome [PERIOD]
joyous [IMPLY] anxious [PERIOD]
inexpensive [AND] curious [IMPLY] cute [PERIOD]
comfortable [IMPLY] frightened [PERIOD]
blushing [AND] hypocritical [IMPLY] average [PERIOD]
lonely [IMPLY] inexpensive [PERIOD]
hypocritical [IMPLY] blushing [PERIOD]
joyous [IMPLY] weary [PERIOD]
blushing [IMPLY] frightened [PERIOD]
frail [AND] mean [IMPLY] worrisome [PERIOD]
frightened [AND] inexpensive [IMPLY] lonely [PERIOD]
talented [AND] wrong [AND] friendly [IMPLY] cute [PERIOD]
troubled [AND] anxious [AND] talented [IMPLY] mean [PERIOD]
anxious [IMPLY] muddy [PERIOD]
different [AND] powerful [AND] worrisome [IMPLY] comfortable [PERIOD]
comfortable [IMPLY] worrisome [PERIOD]
average [IMPLY] joyous [PERIOD]
worrisome [AND] friendly [AND] wrong [IMPLY] inexpensive [PERIOD]
weary [IMPLY] anxious [PERIOD]
joyous [IMPLY] comfortable [PERIOD]
easy [AND] weary [IMPLY] wrong [PERIOD]
joyous [AND] different [AND] easy [IMPLY] weary [PERIOD]
inexpensive [AND] frail [AND] average [IMPLY] curious [PERIOD]
muddy [AND] inexpensive [IMPLY] joyous [PERIOD]
cute [IMPLY] inexpensive [PERIOD]
broad-minded [AND] powerful [IMPLY] frightened [PERIOD]
different [IMPLY] anxious [PERIOD]
easy [AND] frightened [IMPLY] average [PERIOD]
frightened [IMPLY] worrisome [PERIOD]
blushing [IMPLY] average [PERIOD]
confused [IMPLY] easy [PERIOD]
lonely [AND] average [IMPLY] muddy [PERIOD]
average [AND] different [IMPLY] blushing [PERIOD]
clean [AND] average [IMPLY] lonely [PERIOD]
wrong [AND] powerful [AND] hypocritical [IMPLY] comfortable [PERIOD]
worrisome [AND] blushing [IMPLY] mean [PERIOD]
hypocritical [AND] comfortable [AND] joyous [IMPLY] broad-minded [PERIOD]
weary [IMPLY] clean [PERIOD]
muddy [AND] clean [IMPLY] friendly [PERIOD]
frail [AND] curious [IMPLY] easy [PERIOD]
comfortable [AND] easy [AND] joyous [IMPLY] curious [PERIOD]
exuberant [IMPLY] powerful [PERIOD]
inexpensive [AND] frightened [AND] broad-minded [IMPLY] different [PERIOD]
friendly [AND] clean [IMPLY] frail [PERIOD]
joyous [AND] clean [AND] anxious [IMPLY] friendly [PERIOD]
different [IMPLY] lonely [PERIOD]
blushing [IMPLY] worrisome [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
   Cannot apply rule “powerful ∧ wrong ∧ average ⇒ easy” because missing: powerful, wrong, average.
   Cannot apply rule “confused ⇒ easy” because missing: confused.
   Cannot apply rule “frail ∧ curious ⇒ easy” because missing: frail, curious.
",0,3
"Facts:  Alice is elated [PERIOD]
Rules:
hypocritical [IMPLY] disgusted [PERIOD]
elegant [AND] plain [IMPLY] attentive [PERIOD]
broad-minded [AND] disgusted [IMPLY] plain [PERIOD]
plain [AND] broad-minded [IMPLY] disgusted [PERIOD]
hypocritical [AND] disgusted [IMPLY] plain [PERIOD]
elegant [IMPLY] hypocritical [PERIOD]
disgusted [AND] broad-minded [IMPLY] elegant [PERIOD]
plain [IMPLY] hypocritical [PERIOD]
attentive [AND] elated [AND] elegant [IMPLY] disgusted [PERIOD]
plain [AND] elegant [AND] hypocritical [IMPLY] elated [PERIOD]
elegant [AND] elated [IMPLY] hypocritical [PERIOD]
attentive [AND] broad-minded [IMPLY] plain [PERIOD]
disgusted [AND] elegant [AND] plain [IMPLY] hypocritical [PERIOD]
broad-minded [AND] elated [AND] hypocritical [IMPLY] elegant [PERIOD]
hypocritical [IMPLY] broad-minded [PERIOD]
disgusted [IMPLY] broad-minded [PERIOD]
hypocritical [IMPLY] elegant [PERIOD]
elegant [AND] attentive [AND] elated [IMPLY] hypocritical [PERIOD]
attentive [IMPLY] hypocritical [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
   Cannot apply rule “elegant ⇒ hypocritical” because missing: elegant.
   Cannot apply rule “plain ⇒ hypocritical” because missing: plain.
   Cannot apply rule “elegant ∧ elated ⇒ hypocritical” because missing: elegant.
   Cannot apply rule “disgusted ∧ elegant ∧ plain ⇒ hypocritical” because missing: disgusted, elegant, plain.
   Cannot apply rule “elegant ∧ attentive ∧ elated ⇒ hypocritical” because missing: elegant, attentive.
   Cannot apply rule “attentive ⇒ hypocritical” because missing: attentive.
",0,6
"Facts:  Alice is silly [PERIOD] Alice is confused [PERIOD] Alice is broad-minded [PERIOD] Alice is innocent [PERIOD] Alice is wrong [PERIOD] Alice is versatile [PERIOD] Alice is combative [PERIOD]
Rules:
confused [AND] dishonest [AND] combative [IMPLY] proud [PERIOD]
wrong [IMPLY] mysterious [PERIOD]
adorable [AND] fancy [AND] proud [IMPLY] silly [PERIOD]
innocent [IMPLY] silly [PERIOD]
thoughtful [AND] mysterious [AND] broad-minded [IMPLY] gorgeous [PERIOD]
silly [AND] combative [IMPLY] talented [PERIOD]
gorgeous [IMPLY] precious [PERIOD]
dishonest [IMPLY] silly [PERIOD]
broad-minded [AND] fancy [IMPLY] thoughtful [PERIOD]
innocent [AND] wrong [AND] adorable [IMPLY] stormy [PERIOD]
wrong [AND] precious [AND] glamorous [IMPLY] fearless [PERIOD]
fancy [AND] proud [IMPLY] calm [PERIOD]
fancy [IMPLY] broad-minded [PERIOD]
rude [AND] silly [IMPLY] innocent [PERIOD]
wrong [AND] zealous [AND] glamorous [IMPLY] rude [PERIOD]
proud [AND] mysterious [AND] silly [IMPLY] fancy [PERIOD]
silly [IMPLY] glamorous [PERIOD]
adorable [IMPLY] wrong [PERIOD]
calm [AND] adorable [IMPLY] fearless [PERIOD]
rude [IMPLY] proud [PERIOD]
wrong [IMPLY] innocent [PERIOD]
mysterious [AND] versatile [IMPLY] proud [PERIOD]
talented [AND] rude [IMPLY] innocent [PERIOD]
innocent [IMPLY] zealous [PERIOD]
wrong [AND] adorable [IMPLY] confused [PERIOD]
combative [AND] zealous [IMPLY] innocent [PERIOD]
silly [AND] fearless [AND] versatile [IMPLY] rude [PERIOD]
rude [AND] innocent [AND] proud [IMPLY] precious [PERIOD]
calm [AND] wrong [AND] versatile [IMPLY] combative [PERIOD]
precious [AND] talented [AND] zealous [IMPLY] adorable [PERIOD]
wrong [IMPLY] calm [PERIOD]
versatile [IMPLY] innocent [PERIOD]
calm [IMPLY] precious [PERIOD]
Query: Alice is adorable [PERIOD]","Proof chain:
   wrong ⇒ calm
   calm ⇒ precious
   silly ∧ combative ⇒ talented
   innocent ⇒ zealous
   precious ∧ talented ∧ zealous ⇒ adorable
",1,5
"Facts:  Alice is dull [PERIOD] Alice is supportive [PERIOD] Alice is gleaming [PERIOD] Alice is impartial [PERIOD]
Rules:
gleaming [AND] average [IMPLY] worrisome [PERIOD]
impartial [IMPLY] supportive [PERIOD]
impartial [AND] average [AND] anxious [IMPLY] dishonest [PERIOD]
dishonest [AND] lucky [AND] anxious [IMPLY] impartial [PERIOD]
wrong [AND] alert [AND] supportive [IMPLY] messy [PERIOD]
dull [AND] lucky [IMPLY] dishonest [PERIOD]
impartial [AND] messy [AND] worrisome [IMPLY] gleaming [PERIOD]
dull [AND] gleaming [IMPLY] messy [PERIOD]
dishonest [AND] dull [IMPLY] gleaming [PERIOD]
alert [AND] messy [IMPLY] gleaming [PERIOD]
messy [IMPLY] gleaming [PERIOD]
lucky [AND] dull [AND] messy [IMPLY] gleaming [PERIOD]
dishonest [AND] anxious [IMPLY] wrong [PERIOD]
dishonest [AND] alert [IMPLY] fine [PERIOD]
bad-tempered [AND] gleaming [AND] wrong [IMPLY] dull [PERIOD]
wrong [IMPLY] dishonest [PERIOD]
anxious [AND] gleaming [AND] messy [IMPLY] lucky [PERIOD]
fine [AND] average [IMPLY] gleaming [PERIOD]
supportive [AND] average [IMPLY] wrong [PERIOD]
gleaming [AND] average [AND] wrong [IMPLY] messy [PERIOD]
average [AND] alert [AND] lucky [IMPLY] fine [PERIOD]
alert [AND] lucky [AND] impartial [IMPLY] worrisome [PERIOD]
impartial [AND] messy [AND] average [IMPLY] dull [PERIOD]
dull [AND] fine [AND] worrisome [IMPLY] bad-tempered [PERIOD]
wrong [AND] dishonest [AND] bad-tempered [IMPLY] supportive [PERIOD]
wrong [AND] bad-tempered [IMPLY] impartial [PERIOD]
dull [IMPLY] supportive [PERIOD]
worrisome [AND] dull [AND] fine [IMPLY] anxious [PERIOD]
impartial [AND] dishonest [AND] fine [IMPLY] anxious [PERIOD]
impartial [AND] anxious [IMPLY] worrisome [PERIOD]
anxious [AND] messy [AND] alert [IMPLY] dishonest [PERIOD]
dishonest [AND] anxious [IMPLY] worrisome [PERIOD]
dishonest [AND] worrisome [IMPLY] wrong [PERIOD]
gleaming [AND] supportive [AND] fine [IMPLY] dishonest [PERIOD]
impartial [IMPLY] dull [PERIOD]
messy [IMPLY] bad-tempered [PERIOD]
worrisome [AND] lucky [AND] gleaming [IMPLY] impartial [PERIOD]
gleaming [IMPLY] dull [PERIOD]
supportive [AND] dull [AND] anxious [IMPLY] bad-tempered [PERIOD]
wrong [AND] worrisome [AND] fine [IMPLY] dull [PERIOD]
fine [IMPLY] lucky [PERIOD]
lucky [IMPLY] supportive [PERIOD]
fine [IMPLY] messy [PERIOD]
impartial [AND] alert [IMPLY] anxious [PERIOD]
messy [IMPLY] wrong [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   dull ∧ gleaming ⇒ messy
   messy ⇒ wrong
   wrong ⇒ dishonest
   Cannot apply rule “dishonest ∧ alert ⇒ fine” because missing: alert.
   Cannot apply rule “average ∧ alert ∧ lucky ⇒ fine” because missing: average, alert, lucky.
",0,5
"Facts:  Alice is intellectual [PERIOD]
Rules:
unpleasant [AND] diplomatic [AND] intellectual [IMPLY] amused [PERIOD]
diplomatic [AND] amused [AND] intellectual [IMPLY] comfortable [PERIOD]
outstanding [AND] amused [AND] diplomatic [IMPLY] comfortable [PERIOD]
amused [AND] comfortable [IMPLY] unpleasant [PERIOD]
diplomatic [AND] unpleasant [IMPLY] amused [PERIOD]
diplomatic [AND] comfortable [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] diplomatic [PERIOD]
outstanding [AND] intellectual [AND] amused [IMPLY] diplomatic [PERIOD]
amused [IMPLY] unpleasant [PERIOD]
outstanding [AND] intellectual [AND] comfortable [IMPLY] unpleasant [PERIOD]
outstanding [IMPLY] unpleasant [PERIOD]
diplomatic [AND] amused [AND] unpleasant [IMPLY] outstanding [PERIOD]
outstanding [AND] comfortable [AND] unpleasant [IMPLY] amused [PERIOD]
amused [IMPLY] diplomatic [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   intellectual ⇒ unpleasant
   unpleasant ⇒ diplomatic
   intellectual ⇒ unpleasant
   intellectual ⇒ unpleasant
   unpleasant ⇒ diplomatic
   unpleasant ∧ diplomatic ∧ intellectual ⇒ amused
   diplomatic ∧ amused ∧ intellectual ⇒ comfortable
",1,7
"Facts:  Alice is lucky [PERIOD] Alice is intellectual [PERIOD] Alice is horrible [PERIOD] Alice is fearless [PERIOD] Alice is wrong [PERIOD] Alice is inexpensive [PERIOD]
Rules:
lucky [IMPLY] witty [PERIOD]
horrible [AND] worried [IMPLY] talkative [PERIOD]
amused [AND] impatient [AND] talented [IMPLY] homely [PERIOD]
sincere [AND] calm [AND] mean [IMPLY] outrageous [PERIOD]
horrible [AND] troubled [IMPLY] wrong [PERIOD]
naughty [AND] tidy [AND] spotless [IMPLY] calm [PERIOD]
witty [AND] proud [IMPLY] elegant [PERIOD]
shiny [AND] lucky [IMPLY] witty [PERIOD]
wrong [AND] impatient [IMPLY] lucky [PERIOD]
outstanding [AND] talkative [IMPLY] tidy [PERIOD]
lucky [AND] spotless [IMPLY] tidy [PERIOD]
inexpensive [AND] spotless [AND] homely [IMPLY] elegant [PERIOD]
fearless [AND] lucky [AND] tidy [IMPLY] sincere [PERIOD]
outstanding [IMPLY] proud [PERIOD]
outrageous [AND] lucky [IMPLY] outstanding [PERIOD]
intellectual [IMPLY] naughty [PERIOD]
fearless [IMPLY] inexpensive [PERIOD]
horrible [AND] impatient [IMPLY] witty [PERIOD]
sincere [AND] tidy [IMPLY] talkative [PERIOD]
tidy [IMPLY] mean [PERIOD]
impatient [AND] wrong [AND] troubled [IMPLY] mean [PERIOD]
proud [IMPLY] impatient [PERIOD]
wrong [IMPLY] witty [PERIOD]
worried [AND] calm [AND] shiny [IMPLY] impatient [PERIOD]
horrible [IMPLY] witty [PERIOD]
naughty [AND] outrageous [AND] witty [IMPLY] talented [PERIOD]
shiny [AND] tidy [IMPLY] proud [PERIOD]
proud [AND] outrageous [IMPLY] worried [PERIOD]
amused [AND] sincere [AND] inexpensive [IMPLY] spotless [PERIOD]
lucky [AND] mean [IMPLY] amused [PERIOD]
inexpensive [AND] fearless [IMPLY] shiny [PERIOD]
sincere [IMPLY] tidy [PERIOD]
sincere [AND] intellectual [AND] outrageous [IMPLY] troubled [PERIOD]
talented [IMPLY] elegant [PERIOD]
sleepy [AND] sincere [IMPLY] proud [PERIOD]
witty [AND] proud [AND] outstanding [IMPLY] tidy [PERIOD]
mean [AND] elegant [IMPLY] ugly [PERIOD]
mean [IMPLY] outrageous [PERIOD]
naughty [AND] elegant [IMPLY] sleepy [PERIOD]
amused [AND] witty [AND] horrible [IMPLY] calm [PERIOD]
inexpensive [IMPLY] worried [PERIOD]
outstanding [IMPLY] ugly [PERIOD]
calm [AND] wrong [AND] horrible [IMPLY] fearless [PERIOD]
mean [IMPLY] calm [PERIOD]
talented [AND] average [AND] impatient [IMPLY] intellectual [PERIOD]
mean [AND] outrageous [AND] naughty [IMPLY] wrong [PERIOD]
amused [IMPLY] naughty [PERIOD]
inexpensive [AND] outrageous [IMPLY] calm [PERIOD]
wrong [AND] witty [IMPLY] spotless [PERIOD]
Query: Alice is outrageous [PERIOD]","Proof chain:
   horrible ⇒ witty
   wrong ∧ witty ⇒ spotless
   lucky ∧ spotless ⇒ tidy
   tidy ⇒ mean
   mean ⇒ outrageous
",1,5
"Facts:  Alice is precious [PERIOD]
Rules:
scared [IMPLY] shiny [PERIOD]
reserved [AND] jittery [IMPLY] distinct [PERIOD]
precious [AND] gifted [IMPLY] alert [PERIOD]
hilarious [AND] frail [AND] fearless [IMPLY] embarrassed [PERIOD]
bad-tempered [AND] plain [IMPLY] gleaming [PERIOD]
zealous [IMPLY] plain [PERIOD]
fearless [AND] sensible [IMPLY] powerful [PERIOD]
zealous [AND] gifted [AND] bad-tempered [IMPLY] scared [PERIOD]
fearless [AND] shiny [IMPLY] rational [PERIOD]
alert [AND] precious [IMPLY] reserved [PERIOD]
rational [IMPLY] shiny [PERIOD]
hilarious [AND] scared [IMPLY] precious [PERIOD]
gifted [AND] precious [AND] bad-tempered [IMPLY] cruel [PERIOD]
scared [IMPLY] fearless [PERIOD]
sensible [AND] inexpensive [IMPLY] cruel [PERIOD]
jittery [AND] cruel [IMPLY] rational [PERIOD]
gifted [AND] scared [AND] plain [IMPLY] precious [PERIOD]
frail [IMPLY] bad-tempered [PERIOD]
inexpensive [AND] jittery [IMPLY] anxious [PERIOD]
fearless [AND] gleaming [IMPLY] careless [PERIOD]
gleaming [AND] reserved [AND] scared [IMPLY] shiny [PERIOD]
cruel [IMPLY] jittery [PERIOD]
gleaming [IMPLY] hilarious [PERIOD]
alert [AND] careless [IMPLY] rational [PERIOD]
powerful [AND] distinct [AND] inexpensive [IMPLY] jittery [PERIOD]
sensible [AND] rational [AND] anxious [IMPLY] embarrassed [PERIOD]
shiny [AND] sensible [IMPLY] gleaming [PERIOD]
messy [AND] reserved [IMPLY] precious [PERIOD]
gleaming [AND] zealous [IMPLY] reserved [PERIOD]
scared [AND] anxious [IMPLY] zealous [PERIOD]
gifted [IMPLY] alert [PERIOD]
plain [AND] distinct [IMPLY] gleaming [PERIOD]
rational [AND] embarrassed [IMPLY] alert [PERIOD]
distinct [AND] plain [AND] bad-tempered [IMPLY] alert [PERIOD]
careless [AND] zealous [AND] cruel [IMPLY] shiny [PERIOD]
reserved [IMPLY] zealous [PERIOD]
sensible [AND] shiny [AND] jittery [IMPLY] anxious [PERIOD]
sensible [IMPLY] fearless [PERIOD]
careless [AND] gleaming [IMPLY] hilarious [PERIOD]
inexpensive [IMPLY] cruel [PERIOD]
scared [IMPLY] embarrassed [PERIOD]
anxious [AND] plain [IMPLY] embarrassed [PERIOD]
gleaming [AND] gifted [IMPLY] sensible [PERIOD]
shiny [AND] precious [AND] sensible [IMPLY] bad-tempered [PERIOD]
plain [AND] messy [IMPLY] alert [PERIOD]
bad-tempered [AND] scared [IMPLY] careless [PERIOD]
frail [AND] bad-tempered [IMPLY] shiny [PERIOD]
distinct [AND] scared [IMPLY] gleaming [PERIOD]
anxious [AND] plain [AND] cruel [IMPLY] distinct [PERIOD]
frail [AND] cruel [AND] fearless [IMPLY] embarrassed [PERIOD]
rational [AND] plain [IMPLY] inexpensive [PERIOD]
messy [AND] inexpensive [IMPLY] gifted [PERIOD]
zealous [IMPLY] hilarious [PERIOD]
fearless [AND] gleaming [AND] scared [IMPLY] shiny [PERIOD]
inexpensive [AND] reserved [IMPLY] shiny [PERIOD]
frail [AND] bad-tempered [AND] fearless [IMPLY] alert [PERIOD]
embarrassed [AND] sensible [IMPLY] messy [PERIOD]
bad-tempered [AND] embarrassed [AND] precious [IMPLY] careless [PERIOD]
inexpensive [AND] precious [AND] messy [IMPLY] bad-tempered [PERIOD]
frail [AND] bad-tempered [AND] zealous [IMPLY] plain [PERIOD]
fearless [AND] powerful [AND] jittery [IMPLY] rational [PERIOD]
rational [AND] gifted [AND] embarrassed [IMPLY] precious [PERIOD]
anxious [AND] precious [AND] careless [IMPLY] fearless [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   Cannot apply rule “precious ∧ gifted ⇒ alert” because missing: gifted.
   Cannot apply rule “gifted ⇒ alert” because missing: gifted.
   Cannot apply rule “rational ∧ embarrassed ⇒ alert” because missing: rational, embarrassed.
   Cannot apply rule “distinct ∧ plain ∧ bad-tempered ⇒ alert” because missing: distinct, plain, bad-tempered.
   Cannot apply rule “plain ∧ messy ⇒ alert” because missing: plain, messy.
   Cannot apply rule “frail ∧ bad-tempered ∧ fearless ⇒ alert” because missing: frail, bad-tempered, fearless.
",0,6
"Facts:  Alice is polite [PERIOD] Alice is attentive [PERIOD] Alice is innocent [PERIOD] Alice is alert [PERIOD] Alice is confident [PERIOD] Alice is stubborn [PERIOD] Alice is inquisitive [PERIOD]
Rules:
innocent [AND] worrisome [IMPLY] inquisitive [PERIOD]
polite [IMPLY] alert [PERIOD]
light [AND] fragile [IMPLY] polite [PERIOD]
sincere [IMPLY] alert [PERIOD]
attentive [AND] fragile [AND] confused [IMPLY] dishonest [PERIOD]
stubborn [AND] proud [IMPLY] light [PERIOD]
attentive [AND] stubborn [IMPLY] cute [PERIOD]
stubborn [AND] light [IMPLY] polite [PERIOD]
innocent [IMPLY] pessimistic [PERIOD]
confident [AND] polite [AND] sincere [IMPLY] inquisitive [PERIOD]
light [IMPLY] worrisome [PERIOD]
proud [IMPLY] innocent [PERIOD]
pessimistic [IMPLY] polite [PERIOD]
polite [IMPLY] sincere [PERIOD]
fragile [IMPLY] confused [PERIOD]
pessimistic [AND] alert [AND] attentive [IMPLY] worrisome [PERIOD]
worrisome [AND] alert [IMPLY] fragile [PERIOD]
light [AND] attentive [AND] confused [IMPLY] pessimistic [PERIOD]
confused [AND] confident [IMPLY] polite [PERIOD]
inquisitive [AND] proud [IMPLY] dishonest [PERIOD]
attentive [IMPLY] confident [PERIOD]
proud [AND] attentive [IMPLY] inquisitive [PERIOD]
inquisitive [AND] light [AND] sincere [IMPLY] dishonest [PERIOD]
sincere [AND] polite [AND] attentive [IMPLY] pessimistic [PERIOD]
stubborn [AND] worrisome [IMPLY] cute [PERIOD]
worrisome [AND] confused [IMPLY] innocent [PERIOD]
stubborn [IMPLY] inquisitive [PERIOD]
dishonest [IMPLY] alert [PERIOD]
cute [IMPLY] stubborn [PERIOD]
alert [AND] stubborn [IMPLY] sincere [PERIOD]
innocent [IMPLY] stubborn [PERIOD]
confused [IMPLY] pessimistic [PERIOD]
inquisitive [IMPLY] worrisome [PERIOD]
alert [IMPLY] confident [PERIOD]
alert [AND] fragile [AND] innocent [IMPLY] cute [PERIOD]
confident [IMPLY] stubborn [PERIOD]
worrisome [AND] attentive [AND] confident [IMPLY] light [PERIOD]
proud [IMPLY] stubborn [PERIOD]
polite [AND] worrisome [AND] confused [IMPLY] proud [PERIOD]
fragile [AND] inquisitive [AND] pessimistic [IMPLY] polite [PERIOD]
light [IMPLY] fragile [PERIOD]
pessimistic [AND] confused [IMPLY] stubborn [PERIOD]
polite [AND] attentive [IMPLY] pessimistic [PERIOD]
proud [IMPLY] confused [PERIOD]
Query: Alice is proud [PERIOD]","Proof chain:
   inquisitive ⇒ worrisome
   inquisitive ⇒ worrisome
   worrisome ∧ alert ⇒ fragile
   fragile ⇒ confused
   polite ∧ worrisome ∧ confused ⇒ proud
",1,5
"Facts:  Alice is lucky [PERIOD] Alice is crowded [PERIOD] Alice is dishonest [PERIOD] Alice is hypocritical [PERIOD] Alice is lonely [PERIOD]
Rules:
thoughtless [AND] inquisitive [IMPLY] disgusted [PERIOD]
disgusted [AND] lonely [IMPLY] difficult [PERIOD]
rational [AND] silly [AND] lucky [IMPLY] spotless [PERIOD]
spotless [AND] rational [AND] inquisitive [IMPLY] thoughtless [PERIOD]
silly [AND] pessimistic [IMPLY] good [PERIOD]
disgusted [AND] spotless [IMPLY] inquisitive [PERIOD]
silly [AND] lonely [IMPLY] difficult [PERIOD]
hypocritical [AND] dishonest [AND] thoughtful [IMPLY] aggressive [PERIOD]
grumpy [AND] helpful [AND] crowded [IMPLY] disgusted [PERIOD]
disgusted [AND] aggressive [AND] pessimistic [IMPLY] spotless [PERIOD]
aggressive [AND] crowded [IMPLY] rational [PERIOD]
bright [AND] good [AND] versatile [IMPLY] helpful [PERIOD]
lonely [IMPLY] aggressive [PERIOD]
hypocritical [AND] thoughtful [IMPLY] helpful [PERIOD]
hurt [AND] spotless [AND] helpful [IMPLY] grumpy [PERIOD]
inquisitive [AND] crowded [AND] mean [IMPLY] easy [PERIOD]
inquisitive [IMPLY] pessimistic [PERIOD]
lucky [AND] silly [AND] crowded [IMPLY] mean [PERIOD]
dishonest [AND] victorious [AND] inquisitive [IMPLY] mean [PERIOD]
inquisitive [AND] silly [IMPLY] versatile [PERIOD]
crowded [AND] bright [AND] lonely [IMPLY] hypocritical [PERIOD]
mean [IMPLY] disgusted [PERIOD]
difficult [AND] rational [IMPLY] spotless [PERIOD]
lonely [AND] dishonest [AND] thoughtless [IMPLY] helpful [PERIOD]
mean [IMPLY] victorious [PERIOD]
thoughtful [AND] mean [AND] thoughtless [IMPLY] hypocritical [PERIOD]
thoughtless [AND] inquisitive [IMPLY] lucky [PERIOD]
grumpy [AND] hypocritical [IMPLY] mean [PERIOD]
hurt [AND] victorious [AND] good [IMPLY] silly [PERIOD]
crowded [AND] rational [IMPLY] silly [PERIOD]
disgusted [IMPLY] bright [PERIOD]
rational [AND] rude [IMPLY] mean [PERIOD]
bright [AND] pessimistic [IMPLY] disgusted [PERIOD]
crowded [AND] hypocritical [AND] grumpy [IMPLY] dishonest [PERIOD]
victorious [AND] versatile [AND] pessimistic [IMPLY] helpful [PERIOD]
grumpy [IMPLY] disgusted [PERIOD]
spotless [AND] mean [AND] lonely [IMPLY] lucky [PERIOD]
lucky [AND] disgusted [IMPLY] lonely [PERIOD]
thoughtful [AND] silly [IMPLY] rational [PERIOD]
silly [IMPLY] mean [PERIOD]
thoughtful [AND] pessimistic [AND] spotless [IMPLY] rational [PERIOD]
disgusted [AND] bright [IMPLY] versatile [PERIOD]
difficult [AND] thoughtless [IMPLY] disgusted [PERIOD]
thoughtless [AND] mean [AND] hypocritical [IMPLY] rude [PERIOD]
hurt [AND] mean [AND] bright [IMPLY] easy [PERIOD]
silly [IMPLY] victorious [PERIOD]
silly [AND] rational [IMPLY] versatile [PERIOD]
helpful [AND] difficult [IMPLY] mean [PERIOD]
easy [AND] lonely [IMPLY] lucky [PERIOD]
crowded [IMPLY] disgusted [PERIOD]
thoughtful [IMPLY] hypocritical [PERIOD]
versatile [AND] easy [IMPLY] dishonest [PERIOD]
bright [AND] mean [AND] inquisitive [IMPLY] lucky [PERIOD]
dishonest [AND] grumpy [IMPLY] lonely [PERIOD]
spotless [IMPLY] victorious [PERIOD]
hypocritical [AND] inquisitive [IMPLY] crowded [PERIOD]
grumpy [AND] rude [IMPLY] mean [PERIOD]
good [AND] lucky [IMPLY] lonely [PERIOD]
difficult [IMPLY] helpful [PERIOD]
hypocritical [AND] easy [IMPLY] spotless [PERIOD]
dishonest [AND] crowded [AND] lucky [IMPLY] bright [PERIOD]
rational [AND] lucky [IMPLY] pessimistic [PERIOD]
crowded [AND] grumpy [IMPLY] mean [PERIOD]
thoughtful [AND] silly [IMPLY] bright [PERIOD]
aggressive [AND] helpful [AND] versatile [IMPLY] good [PERIOD]
thoughtless [AND] lonely [AND] spotless [IMPLY] hypocritical [PERIOD]
pessimistic [AND] easy [AND] versatile [IMPLY] hurt [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   crowded ⇒ disgusted
   disgusted ∧ lonely ⇒ difficult
   difficult ⇒ helpful
   crowded ⇒ disgusted
   disgusted ∧ lonely ⇒ difficult
   helpful ∧ difficult ⇒ mean
",1,6
"Facts:  Alice is average [PERIOD] Alice is adorable [PERIOD]
Rules:
comfortable [AND] average [AND] elegant [IMPLY] attractive [PERIOD]
tense [AND] weary [AND] careless [IMPLY] mysterious [PERIOD]
precious [AND] lucky [AND] sincere [IMPLY] bright [PERIOD]
bright [AND] lucky [IMPLY] cute [PERIOD]
comfortable [AND] anxious [IMPLY] precious [PERIOD]
foolish [AND] thoughtless [AND] careless [IMPLY] bright [PERIOD]
comfortable [AND] inexpensive [IMPLY] fancy [PERIOD]
joyous [AND] cute [AND] thoughtless [IMPLY] worried [PERIOD]
messy [IMPLY] average [PERIOD]
messy [IMPLY] adorable [PERIOD]
lucky [IMPLY] average [PERIOD]
sincere [IMPLY] thoughtless [PERIOD]
precious [IMPLY] weary [PERIOD]
foolish [AND] adorable [AND] anxious [IMPLY] fancy [PERIOD]
thoughtless [IMPLY] adorable [PERIOD]
adorable [AND] lucky [IMPLY] bright [PERIOD]
bright [AND] lucky [IMPLY] average [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   No rule concludes “lucky.”
",0,1
"Facts:  Alice is good [PERIOD] Alice is fancy [PERIOD] Alice is elegant [PERIOD] Alice is clumsy [PERIOD] Alice is agreeable [PERIOD]
Rules:
clumsy [AND] gifted [AND] good [IMPLY] distinct [PERIOD]
fragile [AND] witty [AND] difficult [IMPLY] confident [PERIOD]
bossy [AND] good [AND] bored [IMPLY] innocent [PERIOD]
witty [AND] gorgeous [IMPLY] troubled [PERIOD]
troubled [AND] straightforward [IMPLY] quaint [PERIOD]
versatile [AND] frail [IMPLY] distinct [PERIOD]
inexpensive [IMPLY] witty [PERIOD]
fancy [AND] gifted [AND] agreeable [IMPLY] elegant [PERIOD]
bossy [AND] agreeable [IMPLY] gorgeous [PERIOD]
fancy [AND] confident [IMPLY] straightforward [PERIOD]
inexpensive [AND] anxious [IMPLY] innocent [PERIOD]
adorable [AND] good [AND] elegant [IMPLY] innocent [PERIOD]
frail [AND] gorgeous [IMPLY] confident [PERIOD]
distinct [AND] troubled [AND] elegant [IMPLY] muddy [PERIOD]
agreeable [IMPLY] confident [PERIOD]
good [AND] adorable [IMPLY] bored [PERIOD]
quaint [IMPLY] fancy [PERIOD]
cooperative [AND] difficult [AND] troubled [IMPLY] agreeable [PERIOD]
confused [AND] gifted [IMPLY] quaint [PERIOD]
cooperative [AND] straightforward [IMPLY] busy [PERIOD]
bored [AND] confused [AND] anxious [IMPLY] frail [PERIOD]
frail [AND] innocent [IMPLY] gifted [PERIOD]
innocent [IMPLY] bossy [PERIOD]
gorgeous [IMPLY] quaint [PERIOD]
gifted [IMPLY] frail [PERIOD]
fancy [IMPLY] versatile [PERIOD]
elegant [AND] gorgeous [AND] versatile [IMPLY] troubled [PERIOD]
inexpensive [AND] gorgeous [AND] fragile [IMPLY] combative [PERIOD]
bored [AND] bossy [IMPLY] elegant [PERIOD]
muddy [AND] anxious [IMPLY] elegant [PERIOD]
distinct [IMPLY] frail [PERIOD]
gifted [AND] troubled [AND] fragile [IMPLY] confident [PERIOD]
gorgeous [AND] gifted [AND] distinct [IMPLY] bossy [PERIOD]
agreeable [AND] gifted [AND] cooperative [IMPLY] horrible [PERIOD]
cooperative [IMPLY] witty [PERIOD]
confident [IMPLY] combative [PERIOD]
inexpensive [AND] muddy [AND] straightforward [IMPLY] quaint [PERIOD]
frail [AND] confused [IMPLY] fancy [PERIOD]
difficult [IMPLY] good [PERIOD]
witty [AND] gorgeous [AND] anxious [IMPLY] good [PERIOD]
cooperative [AND] confident [IMPLY] witty [PERIOD]
distinct [AND] agreeable [AND] good [IMPLY] frail [PERIOD]
muddy [AND] gorgeous [AND] horrible [IMPLY] combative [PERIOD]
straightforward [AND] anxious [AND] gorgeous [IMPLY] clumsy [PERIOD]
gifted [AND] cooperative [IMPLY] distinct [PERIOD]
frail [IMPLY] confused [PERIOD]
quaint [IMPLY] bored [PERIOD]
quaint [IMPLY] busy [PERIOD]
quaint [AND] frail [IMPLY] confused [PERIOD]
inexpensive [AND] difficult [IMPLY] anxious [PERIOD]
bossy [AND] gifted [IMPLY] cooperative [PERIOD]
bossy [AND] confident [AND] quaint [IMPLY] cooperative [PERIOD]
witty [AND] frail [IMPLY] clumsy [PERIOD]
straightforward [IMPLY] busy [PERIOD]
innocent [AND] frail [IMPLY] troubled [PERIOD]
anxious [IMPLY] gorgeous [PERIOD]
anxious [AND] clumsy [AND] inexpensive [IMPLY] agreeable [PERIOD]
muddy [AND] clumsy [AND] difficult [IMPLY] inexpensive [PERIOD]
anxious [AND] agreeable [IMPLY] confused [PERIOD]
confused [AND] innocent [AND] gifted [IMPLY] agreeable [PERIOD]
bossy [AND] agreeable [AND] confused [IMPLY] good [PERIOD]
quaint [AND] anxious [AND] busy [IMPLY] adorable [PERIOD]
horrible [IMPLY] clumsy [PERIOD]
bossy [AND] difficult [AND] elegant [IMPLY] quaint [PERIOD]
difficult [AND] elegant [IMPLY] quaint [PERIOD]
quaint [IMPLY] innocent [PERIOD]
confident [AND] adorable [IMPLY] busy [PERIOD]
horrible [AND] combative [IMPLY] difficult [PERIOD]
busy [AND] difficult [IMPLY] agreeable [PERIOD]
fancy [AND] bossy [IMPLY] distinct [PERIOD]
bossy [IMPLY] clumsy [PERIOD]
confused [AND] bored [IMPLY] versatile [PERIOD]
frail [AND] elegant [IMPLY] confused [PERIOD]
elegant [AND] innocent [AND] bored [IMPLY] witty [PERIOD]
horrible [AND] versatile [IMPLY] cooperative [PERIOD]
distinct [IMPLY] innocent [PERIOD]
cooperative [IMPLY] anxious [PERIOD]
busy [AND] gifted [IMPLY] distinct [PERIOD]
gorgeous [AND] clumsy [AND] frail [IMPLY] adorable [PERIOD]
confident [AND] fragile [IMPLY] clumsy [PERIOD]
distinct [AND] bossy [AND] horrible [IMPLY] bored [PERIOD]
confident [AND] good [AND] straightforward [IMPLY] fancy [PERIOD]
clumsy [AND] good [IMPLY] horrible [PERIOD]
distinct [AND] gorgeous [IMPLY] adorable [PERIOD]
frail [AND] quaint [IMPLY] innocent [PERIOD]
gifted [AND] witty [IMPLY] inexpensive [PERIOD]
inexpensive [IMPLY] bossy [PERIOD]
anxious [IMPLY] confused [PERIOD]
bored [AND] troubled [AND] busy [IMPLY] confused [PERIOD]
straightforward [IMPLY] bossy [PERIOD]
adorable [IMPLY] difficult [PERIOD]
fancy [IMPLY] horrible [PERIOD]
combative [IMPLY] cooperative [PERIOD]
confused [IMPLY] busy [PERIOD]
good [AND] versatile [IMPLY] busy [PERIOD]
witty [IMPLY] versatile [PERIOD]
versatile [AND] difficult [AND] straightforward [IMPLY] frail [PERIOD]
busy [AND] confused [IMPLY] witty [PERIOD]
elegant [AND] fancy [AND] busy [IMPLY] straightforward [PERIOD]
difficult [IMPLY] straightforward [PERIOD]
busy [AND] troubled [AND] horrible [IMPLY] combative [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   fancy ⇒ horrible
   fancy ⇒ versatile
   horrible ∧ versatile ⇒ cooperative
   cooperative ⇒ anxious
",1,4
"Facts: 
Rules:
confused [AND] famous [AND] elegant [IMPLY] beautiful [PERIOD]
powerful [IMPLY] confused [PERIOD]
blushing [AND] adorable [IMPLY] mean [PERIOD]
weary [AND] talented [AND] powerful [IMPLY] adorable [PERIOD]
beautiful [IMPLY] foolish [PERIOD]
elegant [AND] adorable [IMPLY] talented [PERIOD]
blushing [AND] elegant [AND] talented [IMPLY] powerful [PERIOD]
elegant [IMPLY] mean [PERIOD]
foolish [AND] famous [IMPLY] talented [PERIOD]
talented [AND] unpleasant [IMPLY] beautiful [PERIOD]
talented [IMPLY] confused [PERIOD]
adorable [AND] foolish [IMPLY] beautiful [PERIOD]
elegant [AND] long [IMPLY] blushing [PERIOD]
beautiful [AND] unpleasant [AND] weary [IMPLY] elegant [PERIOD]
long [AND] beautiful [IMPLY] powerful [PERIOD]
beautiful [IMPLY] powerful [PERIOD]
mean [IMPLY] confused [PERIOD]
unpleasant [IMPLY] beautiful [PERIOD]
weary [IMPLY] talented [PERIOD]
beautiful [AND] blushing [IMPLY] elegant [PERIOD]
long [AND] famous [AND] foolish [IMPLY] confused [PERIOD]
long [IMPLY] powerful [PERIOD]
beautiful [AND] powerful [IMPLY] talented [PERIOD]
weary [AND] unpleasant [AND] talented [IMPLY] powerful [PERIOD]
unpleasant [AND] elegant [AND] weary [IMPLY] beautiful [PERIOD]
unpleasant [AND] blushing [IMPLY] beautiful [PERIOD]
mean [IMPLY] elegant [PERIOD]
blushing [AND] elegant [AND] famous [IMPLY] foolish [PERIOD]
powerful [IMPLY] famous [PERIOD]
talented [AND] famous [IMPLY] adorable [PERIOD]
confused [AND] weary [IMPLY] foolish [PERIOD]
mean [AND] unpleasant [IMPLY] talented [PERIOD]
blushing [AND] confused [IMPLY] adorable [PERIOD]
adorable [AND] weary [IMPLY] elegant [PERIOD]
long [AND] elegant [AND] mean [IMPLY] blushing [PERIOD]
beautiful [IMPLY] confused [PERIOD]
adorable [AND] unpleasant [IMPLY] weary [PERIOD]
unpleasant [AND] weary [AND] blushing [IMPLY] famous [PERIOD]
foolish [IMPLY] famous [PERIOD]
famous [AND] weary [IMPLY] powerful [PERIOD]
long [AND] elegant [IMPLY] mean [PERIOD]
long [AND] unpleasant [AND] beautiful [IMPLY] famous [PERIOD]
adorable [AND] talented [IMPLY] long [PERIOD]
beautiful [AND] adorable [AND] blushing [IMPLY] weary [PERIOD]
mean [IMPLY] weary [PERIOD]
blushing [IMPLY] confused [PERIOD]
long [IMPLY] mean [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   Cannot apply rule “confused ∧ famous ∧ elegant ⇒ beautiful” because missing: confused, famous, elegant.
   Cannot apply rule “talented ∧ unpleasant ⇒ beautiful” because missing: talented, unpleasant.
   Cannot apply rule “adorable ∧ foolish ⇒ beautiful” because missing: adorable, foolish.
   Cannot apply rule “unpleasant ⇒ beautiful” because missing: unpleasant.
   Cannot apply rule “unpleasant ∧ elegant ∧ weary ⇒ beautiful” because missing: unpleasant, elegant, weary.
   Cannot apply rule “unpleasant ∧ blushing ⇒ beautiful” because missing: unpleasant, blushing.
",0,6
"Facts: 
Rules:
nervous [AND] victorious [IMPLY] cooperative [PERIOD]
agreeable [AND] victorious [IMPLY] nervous [PERIOD]
victorious [AND] nervous [AND] tame [IMPLY] mysterious [PERIOD]
agreeable [AND] tame [IMPLY] nervous [PERIOD]
mysterious [AND] agreeable [AND] nervous [IMPLY] tame [PERIOD]
victorious [AND] nervous [IMPLY] mysterious [PERIOD]
cooperative [IMPLY] tame [PERIOD]
victorious [IMPLY] agreeable [PERIOD]
nervous [AND] agreeable [IMPLY] mysterious [PERIOD]
mysterious [AND] agreeable [IMPLY] nervous [PERIOD]
cooperative [AND] agreeable [AND] victorious [IMPLY] mysterious [PERIOD]
agreeable [AND] mysterious [AND] nervous [IMPLY] cooperative [PERIOD]
cooperative [AND] tame [AND] nervous [IMPLY] victorious [PERIOD]
cooperative [IMPLY] mysterious [PERIOD]
cooperative [AND] mysterious [AND] victorious [IMPLY] tame [PERIOD]
cooperative [AND] agreeable [AND] nervous [IMPLY] tame [PERIOD]
victorious [AND] cooperative [IMPLY] nervous [PERIOD]
tame [AND] mysterious [AND] agreeable [IMPLY] victorious [PERIOD]
victorious [AND] mysterious [AND] tame [IMPLY] nervous [PERIOD]
mysterious [IMPLY] agreeable [PERIOD]
agreeable [IMPLY] tame [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   Cannot apply rule “agreeable ∧ victorious ⇒ nervous” because missing: agreeable, victorious.
   Cannot apply rule “agreeable ∧ tame ⇒ nervous” because missing: agreeable, tame.
   Cannot apply rule “mysterious ∧ agreeable ⇒ nervous” because missing: mysterious, agreeable.
   Cannot apply rule “victorious ∧ cooperative ⇒ nervous” because missing: victorious, cooperative.
   Cannot apply rule “victorious ∧ mysterious ∧ tame ⇒ nervous” because missing: victorious, mysterious, tame.
",0,5
"Facts:  Alice is impatient [PERIOD] Alice is loving [PERIOD] Alice is amused [PERIOD]
Rules:
intellectual [AND] glamorous [IMPLY] smart [PERIOD]
light [AND] intellectual [AND] ambitious [IMPLY] pleasant [PERIOD]
anxious [AND] enchanting [IMPLY] mysterious [PERIOD]
anxious [AND] light [AND] talented [IMPLY] loving [PERIOD]
light [IMPLY] enchanting [PERIOD]
ambitious [AND] glamorous [IMPLY] anxious [PERIOD]
pleasant [AND] glamorous [IMPLY] talented [PERIOD]
loving [AND] impatient [AND] powerful [IMPLY] glamorous [PERIOD]
mysterious [AND] weary [AND] smart [IMPLY] light [PERIOD]
glamorous [AND] hurt [AND] smart [IMPLY] amused [PERIOD]
sensible [IMPLY] enchanting [PERIOD]
amused [IMPLY] mysterious [PERIOD]
smart [AND] anxious [AND] sensible [IMPLY] talented [PERIOD]
glamorous [AND] amused [AND] talented [IMPLY] anxious [PERIOD]
sensible [AND] anxious [AND] pleasant [IMPLY] talented [PERIOD]
enchanting [AND] smart [IMPLY] loving [PERIOD]
mysterious [AND] impatient [IMPLY] anxious [PERIOD]
impatient [AND] glamorous [AND] talented [IMPLY] tidy [PERIOD]
loving [AND] impatient [AND] sensible [IMPLY] glamorous [PERIOD]
enchanting [AND] glamorous [AND] tidy [IMPLY] hurt [PERIOD]
smart [AND] loving [AND] amused [IMPLY] pleasant [PERIOD]
impatient [AND] tidy [AND] loving [IMPLY] anxious [PERIOD]
loving [AND] talented [IMPLY] anxious [PERIOD]
amused [AND] anxious [AND] pleasant [IMPLY] enchanting [PERIOD]
light [AND] enchanting [AND] weary [IMPLY] glamorous [PERIOD]
glamorous [AND] powerful [IMPLY] tidy [PERIOD]
weary [IMPLY] mysterious [PERIOD]
hurt [AND] tidy [AND] enchanting [IMPLY] talented [PERIOD]
ambitious [AND] glamorous [AND] loving [IMPLY] mysterious [PERIOD]
talented [AND] powerful [AND] tidy [IMPLY] pleasant [PERIOD]
impatient [AND] sensible [IMPLY] powerful [PERIOD]
talented [AND] intellectual [IMPLY] glamorous [PERIOD]
ambitious [AND] glamorous [IMPLY] pleasant [PERIOD]
pleasant [AND] glamorous [AND] hurt [IMPLY] weary [PERIOD]
ambitious [AND] tidy [AND] talented [IMPLY] anxious [PERIOD]
pleasant [AND] light [IMPLY] amused [PERIOD]
powerful [AND] weary [IMPLY] impatient [PERIOD]
amused [AND] weary [AND] hurt [IMPLY] glamorous [PERIOD]
anxious [AND] ambitious [AND] powerful [IMPLY] glamorous [PERIOD]
weary [AND] pleasant [IMPLY] tidy [PERIOD]
anxious [AND] amused [IMPLY] impatient [PERIOD]
enchanting [AND] amused [AND] mysterious [IMPLY] pleasant [PERIOD]
pleasant [IMPLY] talented [PERIOD]
enchanting [AND] intellectual [AND] sensible [IMPLY] pleasant [PERIOD]
tidy [AND] enchanting [AND] light [IMPLY] mysterious [PERIOD]
weary [IMPLY] talented [PERIOD]
hurt [AND] glamorous [IMPLY] amused [PERIOD]
sensible [AND] smart [IMPLY] light [PERIOD]
intellectual [AND] amused [AND] weary [IMPLY] tidy [PERIOD]
weary [IMPLY] hurt [PERIOD]
smart [AND] hurt [IMPLY] weary [PERIOD]
talented [IMPLY] tidy [PERIOD]
sensible [AND] ambitious [IMPLY] weary [PERIOD]
tidy [IMPLY] intellectual [PERIOD]
anxious [IMPLY] weary [PERIOD]
ambitious [AND] anxious [AND] impatient [IMPLY] hurt [PERIOD]
hurt [IMPLY] weary [PERIOD]
mysterious [IMPLY] pleasant [PERIOD]
impatient [AND] amused [AND] mysterious [IMPLY] powerful [PERIOD]
talented [AND] tidy [IMPLY] pleasant [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   amused ⇒ mysterious
   impatient ∧ amused ∧ mysterious ⇒ powerful
   loving ∧ impatient ∧ powerful ⇒ glamorous
   amused ⇒ mysterious
   impatient ∧ amused ∧ mysterious ⇒ powerful
   glamorous ∧ powerful ⇒ tidy
",1,6
"Facts:  Alice is shiny [PERIOD] Alice is quaint [PERIOD]
Rules:
gorgeous [AND] muddy [AND] long [IMPLY] dull [PERIOD]
adorable [AND] comfortable [IMPLY] confused [PERIOD]
sincere [AND] confused [IMPLY] long [PERIOD]
quaint [AND] long [IMPLY] confused [PERIOD]
shiny [AND] dull [AND] muddy [IMPLY] talkative [PERIOD]
jittery [IMPLY] talented [PERIOD]
quaint [AND] dull [IMPLY] adorable [PERIOD]
comfortable [AND] talented [IMPLY] impartial [PERIOD]
talkative [AND] confused [AND] muddy [IMPLY] sincere [PERIOD]
talented [AND] jittery [AND] adorable [IMPLY] long [PERIOD]
dull [AND] shiny [IMPLY] comfortable [PERIOD]
shiny [AND] jittery [IMPLY] long [PERIOD]
shiny [AND] impartial [AND] adorable [IMPLY] talkative [PERIOD]
dull [AND] adorable [IMPLY] impartial [PERIOD]
gorgeous [IMPLY] comfortable [PERIOD]
dull [IMPLY] confused [PERIOD]
talkative [AND] gorgeous [IMPLY] dull [PERIOD]
dull [AND] jittery [AND] talented [IMPLY] shiny [PERIOD]
jittery [AND] sincere [IMPLY] adorable [PERIOD]
long [IMPLY] shiny [PERIOD]
long [AND] talented [IMPLY] adorable [PERIOD]
shiny [IMPLY] dull [PERIOD]
muddy [IMPLY] sincere [PERIOD]
shiny [AND] sincere [IMPLY] talented [PERIOD]
sincere [AND] jittery [IMPLY] quaint [PERIOD]
jittery [IMPLY] confused [PERIOD]
muddy [IMPLY] talented [PERIOD]
talkative [IMPLY] confused [PERIOD]
dull [AND] talented [IMPLY] comfortable [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   shiny ⇒ dull
   shiny ⇒ dull
   quaint ∧ dull ⇒ adorable
   dull ∧ adorable ⇒ impartial
   shiny ⇒ dull
   quaint ∧ dull ⇒ adorable
   shiny ∧ impartial ∧ adorable ⇒ talkative
",1,7
"Facts:  Alice is quaint [PERIOD] Alice is innocent [PERIOD] Alice is clean [PERIOD]
Rules:
proud [IMPLY] quaint [PERIOD]
disgusted [IMPLY] tidy [PERIOD]
quaint [AND] uptight [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] wide-eyed [PERIOD]
courageous [AND] uptight [AND] innocent [IMPLY] proud [PERIOD]
wide-eyed [AND] selfish [AND] disgusted [IMPLY] uptight [PERIOD]
clean [IMPLY] courageous [PERIOD]
tidy [AND] courageous [AND] selfish [IMPLY] grumpy [PERIOD]
quaint [AND] sleepy [AND] innocent [IMPLY] tidy [PERIOD]
proud [AND] innocent [IMPLY] wrong [PERIOD]
grumpy [IMPLY] courageous [PERIOD]
disgusted [AND] innocent [IMPLY] quaint [PERIOD]
wrong [AND] uptight [AND] clean [IMPLY] quaint [PERIOD]
wrong [AND] uptight [IMPLY] light [PERIOD]
innocent [IMPLY] proud [PERIOD]
proud [AND] wide-eyed [AND] grumpy [IMPLY] tidy [PERIOD]
disgusted [IMPLY] sleepy [PERIOD]
quaint [AND] grumpy [IMPLY] sleepy [PERIOD]
wide-eyed [IMPLY] disgusted [PERIOD]
grumpy [IMPLY] tidy [PERIOD]
selfish [IMPLY] wrong [PERIOD]
proud [AND] clean [AND] quaint [IMPLY] sleepy [PERIOD]
selfish [AND] grumpy [AND] innocent [IMPLY] disgusted [PERIOD]
tidy [IMPLY] grumpy [PERIOD]
clean [AND] selfish [AND] courageous [IMPLY] uptight [PERIOD]
courageous [AND] light [AND] innocent [IMPLY] disgusted [PERIOD]
clean [AND] selfish [IMPLY] courageous [PERIOD]
innocent [IMPLY] disgusted [PERIOD]
proud [IMPLY] wide-eyed [PERIOD]
grumpy [AND] wrong [AND] light [IMPLY] clean [PERIOD]
wrong [IMPLY] wide-eyed [PERIOD]
disgusted [AND] proud [IMPLY] sleepy [PERIOD]
uptight [AND] selfish [IMPLY] light [PERIOD]
tidy [AND] sleepy [IMPLY] wrong [PERIOD]
uptight [IMPLY] disgusted [PERIOD]
wide-eyed [AND] quaint [IMPLY] clean [PERIOD]
wide-eyed [AND] tidy [AND] wrong [IMPLY] light [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   innocent ⇒ proud
   proud ⇒ wide-eyed
   innocent ⇒ disgusted
   disgusted ⇒ tidy
   innocent ⇒ proud
   proud ∧ innocent ⇒ wrong
   wide-eyed ∧ tidy ∧ wrong ⇒ light
",1,7
"Facts:  Alice is proud [PERIOD]
Rules:
shy [AND] stormy [AND] disobedient [IMPLY] proud [PERIOD]
easy [AND] stormy [IMPLY] disobedient [PERIOD]
disobedient [AND] proud [IMPLY] difficult [PERIOD]
proud [AND] shiny [AND] easy [IMPLY] stormy [PERIOD]
disobedient [IMPLY] shiny [PERIOD]
proud [AND] shy [AND] shiny [IMPLY] easy [PERIOD]
disobedient [AND] difficult [IMPLY] easy [PERIOD]
proud [AND] stormy [IMPLY] difficult [PERIOD]
difficult [IMPLY] disobedient [PERIOD]
shy [IMPLY] disobedient [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
   Cannot apply rule “proud ∧ shy ∧ shiny ⇒ easy” because missing: shy, shiny.
   Cannot apply rule “disobedient ∧ difficult ⇒ easy” because missing: disobedient, difficult.
",0,2
"Facts:  Alice is mysterious [PERIOD]
Rules:
popular [AND] polite [AND] gifted [IMPLY] perfect [PERIOD]
bright [AND] bossy [AND] inexpensive [IMPLY] calm [PERIOD]
outstanding [AND] stupid [IMPLY] different [PERIOD]
rude [AND] mysterious [AND] different [IMPLY] good [PERIOD]
outstanding [AND] perfect [IMPLY] polite [PERIOD]
bright [AND] good [IMPLY] outstanding [PERIOD]
scared [AND] inexpensive [AND] mysterious [IMPLY] bossy [PERIOD]
difficult [AND] different [AND] polite [IMPLY] foolish [PERIOD]
different [AND] scared [IMPLY] bright [PERIOD]
dishonest [AND] mysterious [AND] inexpensive [IMPLY] difficult [PERIOD]
good [AND] dishonest [AND] bright [IMPLY] scared [PERIOD]
calm [AND] inexpensive [AND] foolish [IMPLY] polite [PERIOD]
outstanding [IMPLY] rude [PERIOD]
bright [AND] different [AND] rude [IMPLY] foolish [PERIOD]
bright [AND] good [AND] difficult [IMPLY] perfect [PERIOD]
mysterious [IMPLY] gifted [PERIOD]
foolish [IMPLY] popular [PERIOD]
outstanding [AND] straightforward [AND] good [IMPLY] helpful [PERIOD]
fearless [AND] good [AND] perfect [IMPLY] scared [PERIOD]
dishonest [IMPLY] difficult [PERIOD]
weary [AND] good [IMPLY] polite [PERIOD]
bossy [AND] good [IMPLY] calm [PERIOD]
calm [IMPLY] dishonest [PERIOD]
popular [AND] mysterious [AND] dishonest [IMPLY] straightforward [PERIOD]
inexpensive [IMPLY] gifted [PERIOD]
mysterious [AND] good [IMPLY] bright [PERIOD]
bright [IMPLY] calm [PERIOD]
bossy [IMPLY] rude [PERIOD]
popular [IMPLY] dishonest [PERIOD]
helpful [AND] straightforward [IMPLY] weary [PERIOD]
fearless [AND] mysterious [AND] difficult [IMPLY] dishonest [PERIOD]
difficult [AND] perfect [AND] bossy [IMPLY] straightforward [PERIOD]
bossy [AND] calm [IMPLY] perfect [PERIOD]
calm [AND] fearless [IMPLY] mysterious [PERIOD]
bright [AND] calm [IMPLY] different [PERIOD]
helpful [IMPLY] rude [PERIOD]
good [AND] mysterious [AND] weary [IMPLY] popular [PERIOD]
polite [AND] difficult [IMPLY] helpful [PERIOD]
good [IMPLY] mysterious [PERIOD]
helpful [AND] rude [IMPLY] popular [PERIOD]
weary [AND] bright [AND] dishonest [IMPLY] outstanding [PERIOD]
perfect [AND] popular [IMPLY] inexpensive [PERIOD]
rude [IMPLY] perfect [PERIOD]
stupid [AND] dishonest [IMPLY] popular [PERIOD]
straightforward [AND] dishonest [AND] foolish [IMPLY] difficult [PERIOD]
popular [IMPLY] calm [PERIOD]
weary [AND] good [AND] stupid [IMPLY] bossy [PERIOD]
dishonest [AND] inexpensive [IMPLY] gifted [PERIOD]
stupid [IMPLY] bossy [PERIOD]
difficult [AND] bright [IMPLY] different [PERIOD]
helpful [IMPLY] different [PERIOD]
bossy [AND] good [IMPLY] stupid [PERIOD]
foolish [IMPLY] inexpensive [PERIOD]
difficult [AND] outstanding [IMPLY] polite [PERIOD]
different [AND] mysterious [IMPLY] outstanding [PERIOD]
scared [AND] gifted [IMPLY] bright [PERIOD]
difficult [AND] bright [IMPLY] weary [PERIOD]
weary [AND] helpful [IMPLY] stupid [PERIOD]
popular [AND] bossy [IMPLY] gifted [PERIOD]
scared [AND] bossy [IMPLY] weary [PERIOD]
calm [AND] inexpensive [IMPLY] mysterious [PERIOD]
calm [AND] gifted [AND] mysterious [IMPLY] different [PERIOD]
popular [IMPLY] straightforward [PERIOD]
foolish [IMPLY] dishonest [PERIOD]
stupid [AND] mysterious [IMPLY] inexpensive [PERIOD]
popular [AND] outstanding [AND] stupid [IMPLY] inexpensive [PERIOD]
fearless [IMPLY] rude [PERIOD]
difficult [AND] perfect [AND] helpful [IMPLY] weary [PERIOD]
foolish [IMPLY] gifted [PERIOD]
perfect [AND] polite [AND] mysterious [IMPLY] bossy [PERIOD]
straightforward [IMPLY] popular [PERIOD]
foolish [AND] difficult [IMPLY] bossy [PERIOD]
rude [AND] bright [IMPLY] scared [PERIOD]
outstanding [IMPLY] weary [PERIOD]
difficult [IMPLY] foolish [PERIOD]
foolish [AND] dishonest [AND] popular [IMPLY] straightforward [PERIOD]
different [AND] helpful [AND] mysterious [IMPLY] gifted [PERIOD]
mysterious [AND] foolish [AND] polite [IMPLY] popular [PERIOD]
fearless [AND] mysterious [AND] helpful [IMPLY] popular [PERIOD]
calm [AND] foolish [AND] dishonest [IMPLY] scared [PERIOD]
scared [AND] straightforward [IMPLY] bossy [PERIOD]
bright [AND] perfect [IMPLY] rude [PERIOD]
helpful [IMPLY] stupid [PERIOD]
good [IMPLY] rude [PERIOD]
straightforward [AND] good [AND] foolish [IMPLY] bright [PERIOD]
inexpensive [AND] bossy [AND] fearless [IMPLY] polite [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
   Cannot apply rule “outstanding ⇒ rude” because missing: outstanding.
   Cannot apply rule “bossy ⇒ rude” because missing: bossy.
   Cannot apply rule “helpful ⇒ rude” because missing: helpful.
   Cannot apply rule “fearless ⇒ rude” because missing: fearless.
   Cannot apply rule “bright ∧ perfect ⇒ rude” because missing: bright, perfect.
   Cannot apply rule “good ⇒ rude” because missing: good.
",0,6
"Facts:  Alice is straightforward [PERIOD] Alice is ambitious [PERIOD] Alice is difficult [PERIOD] Alice is helpful [PERIOD] Alice is innocent [PERIOD] Alice is broad-minded [PERIOD] Alice is vivacious [PERIOD] Alice is condemned [PERIOD]
Rules:
calm [AND] condemned [AND] difficult [IMPLY] ambitious [PERIOD]
innocent [AND] crowded [IMPLY] wandering [PERIOD]
vivacious [AND] innocent [IMPLY] straightforward [PERIOD]
shy [AND] vivacious [IMPLY] innocent [PERIOD]
wandering [AND] helpful [AND] messy [IMPLY] condemned [PERIOD]
shy [IMPLY] helpful [PERIOD]
calm [AND] messy [IMPLY] crowded [PERIOD]
crowded [AND] shy [AND] vivacious [IMPLY] calm [PERIOD]
calm [AND] crowded [AND] shy [IMPLY] wandering [PERIOD]
crowded [AND] condemned [IMPLY] calm [PERIOD]
shy [AND] wandering [IMPLY] helpful [PERIOD]
crowded [AND] vivacious [AND] wandering [IMPLY] ambitious [PERIOD]
shy [AND] condemned [IMPLY] innocent [PERIOD]
condemned [AND] ambitious [AND] broad-minded [IMPLY] wandering [PERIOD]
crowded [AND] vivacious [IMPLY] wandering [PERIOD]
vivacious [AND] helpful [IMPLY] innocent [PERIOD]
innocent [AND] wandering [IMPLY] condemned [PERIOD]
condemned [AND] wandering [IMPLY] helpful [PERIOD]
innocent [AND] calm [IMPLY] condemned [PERIOD]
messy [AND] ambitious [AND] helpful [IMPLY] straightforward [PERIOD]
wandering [AND] straightforward [IMPLY] crowded [PERIOD]
helpful [AND] shy [AND] calm [IMPLY] crowded [PERIOD]
helpful [IMPLY] vivacious [PERIOD]
straightforward [AND] messy [AND] innocent [IMPLY] helpful [PERIOD]
calm [AND] condemned [IMPLY] shy [PERIOD]
innocent [IMPLY] vivacious [PERIOD]
calm [AND] condemned [IMPLY] straightforward [PERIOD]
broad-minded [IMPLY] ambitious [PERIOD]
messy [AND] helpful [AND] calm [IMPLY] wandering [PERIOD]
messy [AND] broad-minded [IMPLY] difficult [PERIOD]
broad-minded [IMPLY] crowded [PERIOD]
calm [AND] shy [IMPLY] innocent [PERIOD]
wandering [IMPLY] ambitious [PERIOD]
vivacious [IMPLY] crowded [PERIOD]
shy [IMPLY] calm [PERIOD]
straightforward [IMPLY] broad-minded [PERIOD]
helpful [AND] straightforward [IMPLY] wandering [PERIOD]
innocent [IMPLY] shy [PERIOD]
crowded [AND] broad-minded [IMPLY] straightforward [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
   broad-minded ⇒ crowded
   crowded ∧ condemned ⇒ calm
",1,2
"Facts:  Alice is mysterious [PERIOD] Alice is scared [PERIOD]
Rules:
wrong [IMPLY] amused [PERIOD]
dull [AND] troubled [IMPLY] disgusted [PERIOD]
confused [AND] dull [IMPLY] agreeable [PERIOD]
scared [AND] clumsy [AND] troubled [IMPLY] disgusted [PERIOD]
stubborn [IMPLY] perfect [PERIOD]
inquisitive [AND] scared [IMPLY] clumsy [PERIOD]
spotless [AND] scared [AND] ugliest [IMPLY] wrong [PERIOD]
mysterious [AND] spotless [AND] zealous [IMPLY] amused [PERIOD]
troubled [AND] zealous [IMPLY] stubborn [PERIOD]
stupid [AND] dull [AND] tired [IMPLY] ambitious [PERIOD]
vivacious [AND] stupid [IMPLY] mysterious [PERIOD]
stubborn [IMPLY] agreeable [PERIOD]
inquisitive [AND] blushing [IMPLY] impartial [PERIOD]
disgusted [IMPLY] tired [PERIOD]
inquisitive [AND] spotless [AND] stupid [IMPLY] disgusted [PERIOD]
dull [AND] tired [AND] wrong [IMPLY] confused [PERIOD]
loving [AND] amused [IMPLY] dull [PERIOD]
spotless [AND] nervous [IMPLY] perfect [PERIOD]
hypocritical [AND] inquisitive [IMPLY] ugliest [PERIOD]
clumsy [IMPLY] agreeable [PERIOD]
inquisitive [IMPLY] perfect [PERIOD]
tired [AND] troubled [AND] light [IMPLY] scared [PERIOD]
stubborn [AND] troubled [AND] agreeable [IMPLY] impartial [PERIOD]
inquisitive [AND] stubborn [IMPLY] ugliest [PERIOD]
impartial [AND] spotless [AND] hypocritical [IMPLY] troubled [PERIOD]
zealous [IMPLY] vivacious [PERIOD]
confused [AND] vivacious [IMPLY] stupid [PERIOD]
ugliest [AND] zealous [AND] disgusted [IMPLY] perfect [PERIOD]
perfect [AND] crowded [AND] stubborn [IMPLY] zealous [PERIOD]
loving [IMPLY] inquisitive [PERIOD]
stubborn [AND] loving [AND] amused [IMPLY] ambitious [PERIOD]
mysterious [AND] spotless [AND] troubled [IMPLY] disgusted [PERIOD]
disgusted [AND] clumsy [AND] ambitious [IMPLY] dull [PERIOD]
tired [AND] nervous [IMPLY] crowded [PERIOD]
easy [AND] spotless [AND] blushing [IMPLY] amused [PERIOD]
clumsy [AND] spotless [IMPLY] inquisitive [PERIOD]
ugliest [AND] dull [IMPLY] scared [PERIOD]
amused [IMPLY] confused [PERIOD]
blushing [AND] disgusted [IMPLY] troubled [PERIOD]
light [IMPLY] wrong [PERIOD]
wrong [AND] zealous [AND] easy [IMPLY] impartial [PERIOD]
stubborn [IMPLY] light [PERIOD]
troubled [AND] nervous [IMPLY] stupid [PERIOD]
zealous [AND] inquisitive [IMPLY] dull [PERIOD]
tired [IMPLY] troubled [PERIOD]
loving [IMPLY] hypocritical [PERIOD]
inquisitive [AND] confused [AND] perfect [IMPLY] nervous [PERIOD]
light [IMPLY] hypocritical [PERIOD]
loving [IMPLY] impartial [PERIOD]
ambitious [AND] mysterious [IMPLY] loving [PERIOD]
loving [AND] nervous [AND] amused [IMPLY] vivacious [PERIOD]
spotless [IMPLY] easy [PERIOD]
impartial [AND] ambitious [AND] scared [IMPLY] zealous [PERIOD]
inquisitive [AND] dull [IMPLY] stupid [PERIOD]
impartial [AND] light [AND] dull [IMPLY] troubled [PERIOD]
stupid [AND] amused [AND] scared [IMPLY] inquisitive [PERIOD]
crowded [AND] confused [IMPLY] amused [PERIOD]
amused [AND] dull [IMPLY] clumsy [PERIOD]
wrong [AND] loving [IMPLY] impartial [PERIOD]
clumsy [AND] troubled [AND] stubborn [IMPLY] vivacious [PERIOD]
troubled [AND] dull [IMPLY] spotless [PERIOD]
ambitious [AND] spotless [IMPLY] zealous [PERIOD]
disgusted [AND] dull [IMPLY] hypocritical [PERIOD]
agreeable [IMPLY] dull [PERIOD]
light [AND] easy [AND] troubled [IMPLY] inquisitive [PERIOD]
zealous [IMPLY] troubled [PERIOD]
clumsy [AND] confused [AND] amused [IMPLY] agreeable [PERIOD]
tired [AND] dull [AND] scared [IMPLY] zealous [PERIOD]
light [AND] impartial [AND] mysterious [IMPLY] vivacious [PERIOD]
crowded [IMPLY] zealous [PERIOD]
troubled [IMPLY] wrong [PERIOD]
tired [AND] light [AND] perfect [IMPLY] ambitious [PERIOD]
troubled [IMPLY] crowded [PERIOD]
loving [AND] confused [AND] ugliest [IMPLY] scared [PERIOD]
tired [AND] spotless [IMPLY] crowded [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   Cannot apply rule “confused ∧ dull ⇒ agreeable” because missing: confused, dull.
   Cannot apply rule “stubborn ⇒ agreeable” because missing: stubborn.
   Cannot apply rule “clumsy ⇒ agreeable” because missing: clumsy.
   Cannot apply rule “clumsy ∧ confused ∧ amused ⇒ agreeable” because missing: clumsy, confused, amused.
",0,4
"Facts:  Alice is tame [PERIOD]
Rules:
straightforward [AND] dishonest [IMPLY] gleaming [PERIOD]
dishonest [AND] straightforward [AND] tame [IMPLY] gleaming [PERIOD]
straightforward [IMPLY] tame [PERIOD]
gleaming [IMPLY] dishonest [PERIOD]
crowded [AND] tame [IMPLY] straightforward [PERIOD]
tame [AND] crowded [AND] dishonest [IMPLY] straightforward [PERIOD]
crowded [IMPLY] tame [PERIOD]
tame [AND] gleaming [IMPLY] straightforward [PERIOD]
straightforward [AND] crowded [AND] dishonest [IMPLY] tame [PERIOD]
straightforward [AND] gleaming [AND] dishonest [IMPLY] tame [PERIOD]
gleaming [AND] dishonest [AND] tame [IMPLY] straightforward [PERIOD]
crowded [AND] straightforward [AND] gleaming [IMPLY] tame [PERIOD]
crowded [AND] straightforward [AND] tame [IMPLY] dishonest [PERIOD]
dishonest [AND] gleaming [AND] tame [IMPLY] crowded [PERIOD]
straightforward [AND] gleaming [IMPLY] dishonest [PERIOD]
straightforward [AND] tame [IMPLY] dishonest [PERIOD]
crowded [IMPLY] straightforward [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   Cannot apply rule “crowded ∧ tame ⇒ straightforward” because missing: crowded.
   Cannot apply rule “tame ∧ crowded ∧ dishonest ⇒ straightforward” because missing: crowded, dishonest.
   Cannot apply rule “tame ∧ gleaming ⇒ straightforward” because missing: gleaming.
   Cannot apply rule “gleaming ∧ dishonest ∧ tame ⇒ straightforward” because missing: gleaming, dishonest.
   Cannot apply rule “crowded ⇒ straightforward” because missing: crowded.
",0,5
"Facts:  Alice is mean [PERIOD] Alice is versatile [PERIOD]
Rules:
tender [IMPLY] disgusted [PERIOD]
beautiful [IMPLY] enchanting [PERIOD]
disgusted [IMPLY] beautiful [PERIOD]
jittery [AND] beautiful [AND] disgusted [IMPLY] messy [PERIOD]
nervous [AND] enchanting [IMPLY] mean [PERIOD]
messy [AND] enchanting [AND] amused [IMPLY] nervous [PERIOD]
beautiful [IMPLY] careless [PERIOD]
nervous [AND] careless [IMPLY] beautiful [PERIOD]
enchanting [AND] beautiful [IMPLY] disgusted [PERIOD]
jittery [AND] naughty [AND] versatile [IMPLY] amused [PERIOD]
disgusted [AND] naughty [IMPLY] tender [PERIOD]
enchanting [IMPLY] naughty [PERIOD]
jittery [AND] messy [IMPLY] beautiful [PERIOD]
nervous [IMPLY] disgusted [PERIOD]
enchanting [AND] amused [AND] disgusted [IMPLY] careless [PERIOD]
amused [IMPLY] careless [PERIOD]
messy [IMPLY] enchanting [PERIOD]
mean [AND] disgusted [IMPLY] versatile [PERIOD]
nervous [AND] enchanting [AND] naughty [IMPLY] messy [PERIOD]
hypocritical [AND] messy [AND] beautiful [IMPLY] nervous [PERIOD]
amused [AND] mean [IMPLY] nervous [PERIOD]
mean [IMPLY] amused [PERIOD]
mean [AND] nervous [AND] careless [IMPLY] messy [PERIOD]
careless [AND] beautiful [IMPLY] nervous [PERIOD]
beautiful [IMPLY] amused [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   mean ⇒ amused
   amused ∧ mean ⇒ nervous
   mean ⇒ amused
   amused ⇒ careless
   nervous ∧ careless ⇒ beautiful
   beautiful ⇒ enchanting
",1,6
"Facts:  Alice is fine [PERIOD] Alice is old-fashioned [PERIOD] Alice is tense [PERIOD]
Rules:
easy [AND] condemned [IMPLY] attentive [PERIOD]
wide-eyed [IMPLY] frightened [PERIOD]
worrisome [AND] perfect [AND] condemned [IMPLY] embarrassed [PERIOD]
amused [AND] fine [IMPLY] embarrassed [PERIOD]
amused [AND] easy [IMPLY] homely [PERIOD]
old-fashioned [IMPLY] condemned [PERIOD]
easy [IMPLY] bad-tempered [PERIOD]
gifted [AND] attentive [AND] worrisome [IMPLY] tense [PERIOD]
worrisome [IMPLY] perfect [PERIOD]
old-fashioned [AND] condemned [AND] famous [IMPLY] frightened [PERIOD]
bad-tempered [IMPLY] inquisitive [PERIOD]
gifted [AND] easy [AND] frightened [IMPLY] troubled [PERIOD]
tense [AND] easy [AND] wide-eyed [IMPLY] homely [PERIOD]
easy [IMPLY] worrisome [PERIOD]
fine [IMPLY] bad-tempered [PERIOD]
fine [AND] troubled [IMPLY] homely [PERIOD]
troubled [IMPLY] frightened [PERIOD]
wide-eyed [AND] inquisitive [IMPLY] amused [PERIOD]
troubled [AND] condemned [AND] wide-eyed [IMPLY] rational [PERIOD]
homely [AND] easy [AND] embarrassed [IMPLY] tense [PERIOD]
troubled [IMPLY] tense [PERIOD]
easy [IMPLY] tense [PERIOD]
wide-eyed [AND] perfect [IMPLY] amused [PERIOD]
rational [AND] amused [IMPLY] perfect [PERIOD]
wide-eyed [IMPLY] homely [PERIOD]
troubled [AND] condemned [AND] easy [IMPLY] embarrassed [PERIOD]
troubled [AND] tense [IMPLY] embarrassed [PERIOD]
homely [IMPLY] wide-eyed [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “worrisome ⇒ perfect” because missing: worrisome.
   Cannot apply rule “rational ∧ amused ⇒ perfect” because missing: rational, amused.
",0,2
"Facts:  Alice is elated [PERIOD] Alice is worried [PERIOD] Alice is good [PERIOD] Alice is long [PERIOD] Alice is grumpy [PERIOD] Alice is curious [PERIOD] Alice is naughty [PERIOD] Alice is agreeable [PERIOD]
Rules:
curious [IMPLY] worrisome [PERIOD]
curious [IMPLY] naughty [PERIOD]
elated [AND] tired [AND] long [IMPLY] talkative [PERIOD]
hurt [AND] elated [AND] agreeable [IMPLY] vivacious [PERIOD]
elated [AND] fearless [IMPLY] tame [PERIOD]
curious [AND] elated [AND] grumpy [IMPLY] precious [PERIOD]
talkative [AND] precious [AND] clumsy [IMPLY] tame [PERIOD]
vivacious [IMPLY] hurt [PERIOD]
agreeable [AND] tame [IMPLY] worrisome [PERIOD]
fearless [AND] agreeable [AND] gifted [IMPLY] selfish [PERIOD]
naughty [AND] curious [IMPLY] selfish [PERIOD]
curious [AND] vivacious [IMPLY] clumsy [PERIOD]
agreeable [IMPLY] worrisome [PERIOD]
naughty [AND] elated [AND] selfish [IMPLY] reserved [PERIOD]
naughty [AND] wrong [AND] worrisome [IMPLY] good [PERIOD]
vivacious [IMPLY] elated [PERIOD]
long [IMPLY] wrong [PERIOD]
elated [AND] hurt [IMPLY] clumsy [PERIOD]
reserved [AND] precious [AND] wrong [IMPLY] selfish [PERIOD]
worried [AND] talkative [IMPLY] tired [PERIOD]
talkative [AND] precious [IMPLY] tame [PERIOD]
naughty [AND] worrisome [IMPLY] clumsy [PERIOD]
fearless [AND] good [AND] wrong [IMPLY] worried [PERIOD]
clumsy [AND] broad-minded [AND] elated [IMPLY] agreeable [PERIOD]
elated [AND] hurt [AND] broad-minded [IMPLY] wrong [PERIOD]
precious [AND] talkative [AND] tired [IMPLY] long [PERIOD]
precious [IMPLY] selfish [PERIOD]
elated [AND] sleepy [IMPLY] worried [PERIOD]
long [AND] naughty [AND] wrong [IMPLY] curious [PERIOD]
good [IMPLY] fearless [PERIOD]
selfish [AND] fearless [IMPLY] worried [PERIOD]
vivacious [AND] broad-minded [IMPLY] hurt [PERIOD]
gifted [IMPLY] sleepy [PERIOD]
clumsy [IMPLY] worrisome [PERIOD]
talkative [AND] worried [IMPLY] clumsy [PERIOD]
grumpy [AND] hurt [IMPLY] clumsy [PERIOD]
sleepy [AND] worrisome [IMPLY] broad-minded [PERIOD]
worried [IMPLY] grumpy [PERIOD]
broad-minded [AND] selfish [IMPLY] long [PERIOD]
worrisome [IMPLY] tame [PERIOD]
reserved [IMPLY] tired [PERIOD]
curious [AND] vivacious [AND] worried [IMPLY] worrisome [PERIOD]
tame [AND] talkative [IMPLY] tired [PERIOD]
naughty [AND] reserved [IMPLY] sleepy [PERIOD]
good [AND] broad-minded [AND] talkative [IMPLY] worried [PERIOD]
worrisome [IMPLY] hurt [PERIOD]
precious [IMPLY] worrisome [PERIOD]
curious [IMPLY] good [PERIOD]
grumpy [AND] good [AND] selfish [IMPLY] worried [PERIOD]
worried [AND] worrisome [AND] precious [IMPLY] good [PERIOD]
worried [IMPLY] selfish [PERIOD]
fearless [AND] broad-minded [IMPLY] selfish [PERIOD]
hurt [IMPLY] talkative [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   naughty ∧ curious ⇒ selfish
   naughty ∧ elated ∧ selfish ⇒ reserved
   naughty ∧ reserved ⇒ sleepy
   agreeable ⇒ worrisome
   sleepy ∧ worrisome ⇒ broad-minded
",1,5
"Facts: 
Rules:
quaint [IMPLY] difficult [PERIOD]
smart [IMPLY] difficult [PERIOD]
perfect [AND] outstanding [IMPLY] adorable [PERIOD]
outstanding [AND] bright [IMPLY] perfect [PERIOD]
embarrassed [IMPLY] smart [PERIOD]
stormy [IMPLY] bright [PERIOD]
unpleasant [AND] frail [IMPLY] quaint [PERIOD]
smart [IMPLY] frail [PERIOD]
difficult [AND] unpleasant [AND] quaint [IMPLY] bright [PERIOD]
quaint [IMPLY] unpleasant [PERIOD]
smart [AND] unpleasant [AND] outstanding [IMPLY] difficult [PERIOD]
frail [AND] embarrassed [AND] adorable [IMPLY] messy [PERIOD]
messy [AND] perfect [IMPLY] bright [PERIOD]
perfect [AND] outstanding [IMPLY] bright [PERIOD]
outstanding [AND] frail [AND] adorable [IMPLY] stormy [PERIOD]
messy [IMPLY] quaint [PERIOD]
adorable [AND] perfect [IMPLY] difficult [PERIOD]
bright [AND] embarrassed [IMPLY] frail [PERIOD]
smart [AND] unpleasant [AND] adorable [IMPLY] outstanding [PERIOD]
frail [AND] unpleasant [IMPLY] embarrassed [PERIOD]
smart [IMPLY] adorable [PERIOD]
difficult [AND] embarrassed [IMPLY] smart [PERIOD]
bright [AND] smart [AND] embarrassed [IMPLY] unpleasant [PERIOD]
messy [AND] stormy [IMPLY] quaint [PERIOD]
embarrassed [AND] perfect [AND] stormy [IMPLY] bright [PERIOD]
unpleasant [AND] frail [IMPLY] smart [PERIOD]
outstanding [IMPLY] adorable [PERIOD]
perfect [AND] adorable [AND] difficult [IMPLY] quaint [PERIOD]
quaint [AND] frail [IMPLY] adorable [PERIOD]
unpleasant [AND] embarrassed [IMPLY] frail [PERIOD]
stormy [AND] difficult [IMPLY] adorable [PERIOD]
smart [AND] frail [IMPLY] difficult [PERIOD]
smart [AND] adorable [IMPLY] quaint [PERIOD]
outstanding [AND] frail [AND] unpleasant [IMPLY] embarrassed [PERIOD]
quaint [IMPLY] stormy [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “smart ⇒ frail” because missing: smart.
   Cannot apply rule “bright ∧ embarrassed ⇒ frail” because missing: bright, embarrassed.
   Cannot apply rule “unpleasant ∧ embarrassed ⇒ frail” because missing: unpleasant, embarrassed.
",0,3
"Facts:  Alice is gifted [PERIOD]
Rules:
famous [AND] polite [IMPLY] impartial [PERIOD]
confused [IMPLY] gifted [PERIOD]
impartial [AND] famous [AND] polite [IMPLY] confused [PERIOD]
cooperative [IMPLY] polite [PERIOD]
gifted [AND] impartial [IMPLY] famous [PERIOD]
polite [AND] confused [AND] famous [IMPLY] impartial [PERIOD]
impartial [AND] confused [IMPLY] polite [PERIOD]
cooperative [AND] gifted [IMPLY] famous [PERIOD]
polite [AND] confused [AND] cooperative [IMPLY] impartial [PERIOD]
cooperative [AND] famous [IMPLY] confused [PERIOD]
cooperative [AND] famous [IMPLY] gifted [PERIOD]
polite [AND] famous [AND] cooperative [IMPLY] gifted [PERIOD]
impartial [AND] confused [IMPLY] famous [PERIOD]
confused [AND] famous [IMPLY] polite [PERIOD]
confused [AND] polite [IMPLY] impartial [PERIOD]
confused [IMPLY] polite [PERIOD]
polite [AND] famous [IMPLY] gifted [PERIOD]
famous [AND] cooperative [IMPLY] impartial [PERIOD]
polite [IMPLY] confused [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   Cannot apply rule “cooperative ⇒ polite” because missing: cooperative.
   Cannot apply rule “impartial ∧ confused ⇒ polite” because missing: impartial, confused.
   Cannot apply rule “confused ∧ famous ⇒ polite” because missing: confused, famous.
   Cannot apply rule “confused ⇒ polite” because missing: confused.
",0,4
"Facts: 
Rules:
courageous [AND] rational [AND] sleepy [IMPLY] helpful [PERIOD]
rational [AND] helpful [AND] tense [IMPLY] light [PERIOD]
excited [AND] hurt [IMPLY] mean [PERIOD]
joyous [AND] old-fashioned [AND] excited [IMPLY] aggressive [PERIOD]
worried [AND] hurt [IMPLY] joyous [PERIOD]
worried [AND] agreeable [IMPLY] rational [PERIOD]
tense [AND] agreeable [IMPLY] aggressive [PERIOD]
aggressive [AND] tense [AND] joyous [IMPLY] rational [PERIOD]
serious [IMPLY] attractive [PERIOD]
tense [AND] sleepy [AND] talented [IMPLY] weary [PERIOD]
old-fashioned [AND] attractive [IMPLY] helpful [PERIOD]
talented [AND] helpful [AND] agreeable [IMPLY] old-fashioned [PERIOD]
joyous [IMPLY] busy [PERIOD]
vivacious [AND] talented [AND] hurt [IMPLY] courageous [PERIOD]
tense [IMPLY] rude [PERIOD]
agreeable [AND] old-fashioned [AND] rational [IMPLY] courageous [PERIOD]
light [AND] hurt [IMPLY] excited [PERIOD]
excited [IMPLY] courageous [PERIOD]
excited [AND] vivacious [AND] agreeable [IMPLY] hurt [PERIOD]
rational [IMPLY] agreeable [PERIOD]
light [AND] worried [AND] talented [IMPLY] amused [PERIOD]
bad-tempered [AND] serious [IMPLY] broad-minded [PERIOD]
broad-minded [AND] amused [AND] excited [IMPLY] sleepy [PERIOD]
bad-tempered [IMPLY] attractive [PERIOD]
weary [IMPLY] broad-minded [PERIOD]
mean [AND] helpful [AND] agreeable [IMPLY] amused [PERIOD]
old-fashioned [AND] courageous [AND] attractive [IMPLY] excited [PERIOD]
mean [AND] weary [IMPLY] serious [PERIOD]
weary [IMPLY] rational [PERIOD]
sleepy [AND] amused [AND] courageous [IMPLY] rational [PERIOD]
amused [AND] weary [IMPLY] agreeable [PERIOD]
hurt [AND] tense [IMPLY] bad-tempered [PERIOD]
rational [AND] attractive [AND] joyous [IMPLY] amused [PERIOD]
serious [AND] talented [AND] hurt [IMPLY] aggressive [PERIOD]
old-fashioned [IMPLY] helpful [PERIOD]
rational [IMPLY] talented [PERIOD]
sleepy [AND] bad-tempered [AND] worried [IMPLY] courageous [PERIOD]
vivacious [AND] busy [AND] helpful [IMPLY] weary [PERIOD]
rational [AND] old-fashioned [AND] helpful [IMPLY] talented [PERIOD]
aggressive [IMPLY] old-fashioned [PERIOD]
serious [AND] hurt [IMPLY] rational [PERIOD]
old-fashioned [IMPLY] bad-tempered [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   Cannot apply rule “worried ∧ agreeable ⇒ rational” because missing: worried, agreeable.
   Cannot apply rule “aggressive ∧ tense ∧ joyous ⇒ rational” because missing: aggressive, tense, joyous.
   Cannot apply rule “weary ⇒ rational” because missing: weary.
   Cannot apply rule “sleepy ∧ amused ∧ courageous ⇒ rational” because missing: sleepy, amused, courageous.
   Cannot apply rule “serious ∧ hurt ⇒ rational” because missing: serious, hurt.
",0,5
"Facts:  Alice is average [PERIOD] Alice is mean [PERIOD] Alice is enchanting [PERIOD]
Rules:
easy [AND] sincere [AND] enchanting [IMPLY] reserved [PERIOD]
mean [IMPLY] easy [PERIOD]
sincere [AND] enchanting [IMPLY] average [PERIOD]
sincere [IMPLY] reserved [PERIOD]
sincere [AND] enchanting [IMPLY] reserved [PERIOD]
enchanting [AND] easy [AND] reserved [IMPLY] sincere [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
   mean ⇒ easy
   Cannot apply rule “easy ∧ sincere ∧ enchanting ⇒ reserved” because missing: sincere.
   Cannot apply rule “sincere ⇒ reserved” because missing: sincere.
   Cannot apply rule “sincere ∧ enchanting ⇒ reserved” because missing: sincere.
",0,4
"Facts:  Alice is stormy [PERIOD]
Rules:
hilarious [IMPLY] perfect [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
   Cannot apply rule “hilarious ⇒ perfect” because missing: hilarious.
",0,1
"Facts: 
Rules:
strange [AND] dull [IMPLY] homely [PERIOD]
messy [AND] plain [AND] fine [IMPLY] bored [PERIOD]
scared [AND] outstanding [IMPLY] friendly [PERIOD]
friendly [IMPLY] innocent [PERIOD]
calm [AND] attractive [AND] dull [IMPLY] vivacious [PERIOD]
outstanding [AND] courageous [IMPLY] weary [PERIOD]
homely [IMPLY] joyous [PERIOD]
calm [IMPLY] wide-eyed [PERIOD]
messy [AND] vivacious [IMPLY] polite [PERIOD]
vivacious [AND] courageous [IMPLY] outrageous [PERIOD]
innocent [AND] courageous [AND] clean [IMPLY] homely [PERIOD]
wide-eyed [AND] vivacious [IMPLY] courageous [PERIOD]
outstanding [AND] outrageous [IMPLY] loving [PERIOD]
bored [IMPLY] dull [PERIOD]
polite [IMPLY] scared [PERIOD]
scared [IMPLY] plain [PERIOD]
bored [AND] strange [AND] scared [IMPLY] friendly [PERIOD]
vivacious [AND] polite [AND] fine [IMPLY] weary [PERIOD]
strange [IMPLY] versatile [PERIOD]
calm [IMPLY] weary [PERIOD]
clean [AND] scared [IMPLY] innocent [PERIOD]
attractive [AND] scared [IMPLY] plain [PERIOD]
homely [IMPLY] fine [PERIOD]
courageous [AND] innocent [IMPLY] homely [PERIOD]
bored [IMPLY] outrageous [PERIOD]
charming [IMPLY] calm [PERIOD]
plain [IMPLY] attractive [PERIOD]
messy [AND] attractive [AND] charming [IMPLY] strange [PERIOD]
loving [AND] versatile [IMPLY] joyous [PERIOD]
attractive [IMPLY] vivacious [PERIOD]
versatile [IMPLY] messy [PERIOD]
versatile [AND] plain [AND] innocent [IMPLY] friendly [PERIOD]
messy [AND] clean [IMPLY] charming [PERIOD]
scared [IMPLY] charming [PERIOD]
wide-eyed [IMPLY] charming [PERIOD]
joyous [AND] versatile [AND] outrageous [IMPLY] charming [PERIOD]
charming [AND] loving [IMPLY] calm [PERIOD]
outrageous [AND] scared [AND] joyous [IMPLY] charming [PERIOD]
scared [AND] vivacious [IMPLY] dull [PERIOD]
joyous [AND] clean [AND] homely [IMPLY] vivacious [PERIOD]
plain [AND] innocent [IMPLY] messy [PERIOD]
calm [AND] outrageous [AND] friendly [IMPLY] wide-eyed [PERIOD]
plain [AND] messy [IMPLY] polite [PERIOD]
charming [IMPLY] homely [PERIOD]
joyous [AND] fine [IMPLY] vivacious [PERIOD]
wide-eyed [IMPLY] weary [PERIOD]
fine [AND] polite [AND] innocent [IMPLY] outstanding [PERIOD]
outstanding [AND] plain [IMPLY] outrageous [PERIOD]
fine [AND] charming [IMPLY] clean [PERIOD]
scared [IMPLY] strange [PERIOD]
outrageous [AND] weary [IMPLY] courageous [PERIOD]
joyous [AND] weary [AND] clean [IMPLY] dull [PERIOD]
bored [AND] dull [AND] joyous [IMPLY] fine [PERIOD]
vivacious [AND] clean [IMPLY] joyous [PERIOD]
courageous [AND] strange [AND] calm [IMPLY] loving [PERIOD]
fine [IMPLY] weary [PERIOD]
outrageous [IMPLY] weary [PERIOD]
outstanding [AND] joyous [AND] friendly [IMPLY] plain [PERIOD]
outrageous [AND] homely [AND] friendly [IMPLY] scared [PERIOD]
charming [IMPLY] bored [PERIOD]
outstanding [AND] wide-eyed [AND] outrageous [IMPLY] dull [PERIOD]
versatile [AND] attractive [IMPLY] calm [PERIOD]
joyous [AND] outstanding [IMPLY] charming [PERIOD]
outstanding [IMPLY] charming [PERIOD]
plain [IMPLY] charming [PERIOD]
wide-eyed [AND] messy [IMPLY] dull [PERIOD]
bored [AND] courageous [AND] fine [IMPLY] joyous [PERIOD]
charming [AND] scared [AND] strange [IMPLY] innocent [PERIOD]
scared [AND] bored [IMPLY] calm [PERIOD]
messy [AND] outrageous [AND] weary [IMPLY] calm [PERIOD]
versatile [AND] outrageous [AND] innocent [IMPLY] messy [PERIOD]
charming [AND] wide-eyed [IMPLY] polite [PERIOD]
clean [AND] calm [AND] homely [IMPLY] charming [PERIOD]
calm [AND] wide-eyed [IMPLY] outrageous [PERIOD]
charming [AND] innocent [AND] outstanding [IMPLY] attractive [PERIOD]
strange [AND] calm [AND] innocent [IMPLY] dull [PERIOD]
joyous [AND] attractive [AND] polite [IMPLY] vivacious [PERIOD]
attractive [AND] scared [AND] outrageous [IMPLY] dull [PERIOD]
charming [AND] dull [AND] homely [IMPLY] bored [PERIOD]
fine [AND] joyous [IMPLY] wide-eyed [PERIOD]
plain [AND] bored [IMPLY] friendly [PERIOD]
calm [AND] outrageous [AND] courageous [IMPLY] clean [PERIOD]
homely [AND] wide-eyed [AND] outrageous [IMPLY] versatile [PERIOD]
joyous [AND] innocent [AND] versatile [IMPLY] messy [PERIOD]
messy [AND] vivacious [IMPLY] outstanding [PERIOD]
fine [IMPLY] friendly [PERIOD]
friendly [IMPLY] plain [PERIOD]
innocent [AND] loving [IMPLY] dull [PERIOD]
outrageous [AND] innocent [AND] polite [IMPLY] courageous [PERIOD]
vivacious [AND] calm [IMPLY] friendly [PERIOD]
outstanding [AND] bored [AND] courageous [IMPLY] clean [PERIOD]
polite [AND] calm [IMPLY] outstanding [PERIOD]
charming [AND] outstanding [IMPLY] polite [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
   Cannot apply rule “polite ⇒ scared” because missing: polite.
   Cannot apply rule “outrageous ∧ homely ∧ friendly ⇒ scared” because missing: outrageous, homely, friendly.
",0,2
"Facts:  Alice is old-fashioned [PERIOD]
Rules:
disgusted [AND] calm [IMPLY] easy [PERIOD]
careless [AND] beautiful [IMPLY] sleepy [PERIOD]
vivacious [AND] ugly [IMPLY] sleepy [PERIOD]
tame [AND] excited [AND] vivacious [IMPLY] fancy [PERIOD]
frantic [AND] perfect [AND] wide-eyed [IMPLY] careless [PERIOD]
old-fashioned [IMPLY] frantic [PERIOD]
calm [IMPLY] careless [PERIOD]
rude [AND] frantic [AND] disgusted [IMPLY] gifted [PERIOD]
popular [IMPLY] wide-eyed [PERIOD]
vivacious [AND] perfect [IMPLY] mysterious [PERIOD]
careless [IMPLY] worried [PERIOD]
wide-eyed [AND] clean [AND] beautiful [IMPLY] careless [PERIOD]
worried [IMPLY] lucky [PERIOD]
combative [AND] long [AND] calm [IMPLY] frantic [PERIOD]
wide-eyed [AND] vivacious [AND] careless [IMPLY] lucky [PERIOD]
excited [AND] long [AND] careless [IMPLY] easy [PERIOD]
joyous [AND] clean [IMPLY] excited [PERIOD]
vivacious [IMPLY] wide-eyed [PERIOD]
careless [AND] precious [AND] thoughtful [IMPLY] sleepy [PERIOD]
disgusted [IMPLY] strange [PERIOD]
sleepy [IMPLY] careless [PERIOD]
careless [IMPLY] gifted [PERIOD]
sleepy [AND] popular [AND] beautiful [IMPLY] mysterious [PERIOD]
rude [AND] disgusted [AND] perfect [IMPLY] combative [PERIOD]
bright [IMPLY] aggressive [PERIOD]
clean [AND] old-fashioned [IMPLY] worried [PERIOD]
long [AND] aggressive [AND] vivacious [IMPLY] bright [PERIOD]
rude [AND] ugly [AND] perfect [IMPLY] precious [PERIOD]
tame [IMPLY] excited [PERIOD]
fancy [AND] frantic [AND] excited [IMPLY] long [PERIOD]
wide-eyed [AND] ugly [AND] combative [IMPLY] fancy [PERIOD]
disgusted [AND] frantic [AND] joyous [IMPLY] clean [PERIOD]
wide-eyed [AND] frantic [IMPLY] rude [PERIOD]
strange [AND] bright [IMPLY] calm [PERIOD]
vivacious [AND] fancy [AND] long [IMPLY] calm [PERIOD]
old-fashioned [AND] gifted [IMPLY] careless [PERIOD]
fancy [IMPLY] careless [PERIOD]
mysterious [AND] vivacious [IMPLY] frantic [PERIOD]
long [AND] frantic [IMPLY] fancy [PERIOD]
perfect [AND] easy [IMPLY] lucky [PERIOD]
precious [AND] beautiful [IMPLY] lucky [PERIOD]
aggressive [IMPLY] mysterious [PERIOD]
gifted [AND] rude [IMPLY] sleepy [PERIOD]
fancy [AND] popular [AND] lucky [IMPLY] frantic [PERIOD]
fancy [AND] beautiful [IMPLY] tame [PERIOD]
thoughtful [IMPLY] sleepy [PERIOD]
rude [AND] excited [AND] precious [IMPLY] frantic [PERIOD]
strange [AND] clean [IMPLY] aggressive [PERIOD]
mysterious [IMPLY] vivacious [PERIOD]
gifted [AND] joyous [IMPLY] precious [PERIOD]
joyous [AND] wide-eyed [AND] clean [IMPLY] disgusted [PERIOD]
bright [AND] easy [IMPLY] perfect [PERIOD]
easy [AND] bright [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] worried [PERIOD]
popular [AND] aggressive [IMPLY] ugly [PERIOD]
disgusted [AND] wide-eyed [IMPLY] fancy [PERIOD]
old-fashioned [AND] bright [IMPLY] rude [PERIOD]
easy [AND] joyous [AND] bright [IMPLY] worried [PERIOD]
sleepy [IMPLY] calm [PERIOD]
combative [AND] careless [AND] joyous [IMPLY] rude [PERIOD]
tame [AND] ugly [IMPLY] thoughtful [PERIOD]
excited [IMPLY] thoughtful [PERIOD]
mysterious [AND] thoughtful [AND] long [IMPLY] vivacious [PERIOD]
fancy [IMPLY] sleepy [PERIOD]
perfect [AND] gifted [IMPLY] long [PERIOD]
perfect [IMPLY] bright [PERIOD]
aggressive [IMPLY] fancy [PERIOD]
mysterious [IMPLY] fancy [PERIOD]
bright [AND] easy [IMPLY] long [PERIOD]
aggressive [IMPLY] ugly [PERIOD]
aggressive [AND] fancy [AND] frantic [IMPLY] joyous [PERIOD]
vivacious [IMPLY] long [PERIOD]
ugly [AND] gifted [AND] bright [IMPLY] beautiful [PERIOD]
ugly [AND] frantic [AND] clean [IMPLY] beautiful [PERIOD]
gifted [IMPLY] beautiful [PERIOD]
bright [AND] fancy [AND] perfect [IMPLY] strange [PERIOD]
easy [AND] wide-eyed [AND] long [IMPLY] careless [PERIOD]
vivacious [AND] easy [IMPLY] frantic [PERIOD]
strange [IMPLY] mysterious [PERIOD]
fancy [AND] clean [AND] easy [IMPLY] gifted [PERIOD]
strange [AND] combative [AND] ugly [IMPLY] calm [PERIOD]
long [AND] frantic [IMPLY] precious [PERIOD]
joyous [IMPLY] thoughtful [PERIOD]
aggressive [IMPLY] disgusted [PERIOD]
thoughtful [AND] strange [AND] bright [IMPLY] aggressive [PERIOD]
frantic [AND] joyous [IMPLY] rude [PERIOD]
precious [AND] rude [IMPLY] long [PERIOD]
wide-eyed [AND] combative [IMPLY] beautiful [PERIOD]
long [AND] easy [AND] vivacious [IMPLY] mysterious [PERIOD]
worried [IMPLY] gifted [PERIOD]
calm [AND] careless [AND] long [IMPLY] excited [PERIOD]
vivacious [AND] frantic [IMPLY] worried [PERIOD]
Query: Alice is long [PERIOD]","Proof chain:
   old-fashioned ⇒ frantic
   Cannot apply rule “fancy ∧ frantic ∧ excited ⇒ long” because missing: fancy, excited.
   Cannot apply rule “perfect ∧ gifted ⇒ long” because missing: perfect, gifted.
   Cannot apply rule “bright ∧ easy ⇒ long” because missing: bright, easy.
   Cannot apply rule “vivacious ⇒ long” because missing: vivacious.
   Cannot apply rule “precious ∧ rude ⇒ long” because missing: precious, rude.
",0,6
"Facts: 
Rules:
nervous [AND] outstanding [IMPLY] popular [PERIOD]
silly [IMPLY] combative [PERIOD]
thoughtless [AND] powerful [IMPLY] alert [PERIOD]
homely [AND] popular [IMPLY] nervous [PERIOD]
unpleasant [AND] inexpensive [IMPLY] silly [PERIOD]
inexpensive [AND] alert [IMPLY] silly [PERIOD]
combative [IMPLY] outstanding [PERIOD]
alert [AND] silly [AND] straightforward [IMPLY] outstanding [PERIOD]
nervous [IMPLY] outstanding [PERIOD]
alert [AND] combative [AND] crowded [IMPLY] popular [PERIOD]
homely [AND] silly [IMPLY] thoughtless [PERIOD]
straightforward [AND] silly [IMPLY] unpleasant [PERIOD]
outstanding [AND] silly [IMPLY] combative [PERIOD]
crowded [AND] thoughtless [AND] straightforward [IMPLY] outstanding [PERIOD]
thoughtless [AND] homely [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] crowded [PERIOD]
outstanding [AND] popular [IMPLY] straightforward [PERIOD]
outstanding [IMPLY] popular [PERIOD]
powerful [AND] popular [IMPLY] nervous [PERIOD]
homely [AND] straightforward [AND] thoughtless [IMPLY] outstanding [PERIOD]
inexpensive [AND] straightforward [IMPLY] crowded [PERIOD]
popular [IMPLY] straightforward [PERIOD]
powerful [AND] thoughtless [AND] silly [IMPLY] crowded [PERIOD]
crowded [IMPLY] popular [PERIOD]
outstanding [IMPLY] silly [PERIOD]
inexpensive [AND] unpleasant [AND] homely [IMPLY] crowded [PERIOD]
alert [AND] thoughtless [AND] straightforward [IMPLY] nervous [PERIOD]
inexpensive [AND] powerful [IMPLY] combative [PERIOD]
popular [AND] outstanding [IMPLY] silly [PERIOD]
nervous [IMPLY] thoughtless [PERIOD]
popular [IMPLY] inexpensive [PERIOD]
crowded [AND] nervous [AND] straightforward [IMPLY] unpleasant [PERIOD]
popular [AND] crowded [AND] thoughtless [IMPLY] outstanding [PERIOD]
thoughtless [AND] silly [AND] crowded [IMPLY] inexpensive [PERIOD]
crowded [AND] silly [AND] alert [IMPLY] homely [PERIOD]
powerful [AND] crowded [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] nervous [PERIOD]
popular [AND] straightforward [AND] thoughtless [IMPLY] homely [PERIOD]
silly [AND] nervous [IMPLY] powerful [PERIOD]
combative [IMPLY] popular [PERIOD]
unpleasant [IMPLY] combative [PERIOD]
alert [AND] combative [IMPLY] powerful [PERIOD]
popular [AND] combative [IMPLY] inexpensive [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   Cannot apply rule “combative ⇒ outstanding” because missing: combative.
   Cannot apply rule “alert ∧ silly ∧ straightforward ⇒ outstanding” because missing: alert, silly, straightforward.
   Cannot apply rule “nervous ⇒ outstanding” because missing: nervous.
   Cannot apply rule “crowded ∧ thoughtless ∧ straightforward ⇒ outstanding” because missing: crowded, thoughtless, straightforward.
   Cannot apply rule “homely ∧ straightforward ∧ thoughtless ⇒ outstanding” because missing: homely, straightforward, thoughtless.
   Cannot apply rule “popular ∧ crowded ∧ thoughtless ⇒ outstanding” because missing: popular, crowded, thoughtless.
",0,6
"Facts:  Alice is hypocritical [PERIOD] Alice is confident [PERIOD]
Rules:
hypocritical [AND] confident [IMPLY] combative [PERIOD]
fine [AND] combative [IMPLY] hypocritical [PERIOD]
confident [AND] fine [IMPLY] combative [PERIOD]
confident [AND] fine [AND] inquisitive [IMPLY] combative [PERIOD]
fine [AND] lucky [IMPLY] combative [PERIOD]
hypocritical [AND] lucky [AND] combative [IMPLY] fine [PERIOD]
hypocritical [AND] inquisitive [AND] confident [IMPLY] fine [PERIOD]
inquisitive [IMPLY] lucky [PERIOD]
combative [IMPLY] fine [PERIOD]
fine [AND] hypocritical [IMPLY] combative [PERIOD]
hypocritical [IMPLY] confident [PERIOD]
combative [AND] fine [AND] hypocritical [IMPLY] inquisitive [PERIOD]
lucky [AND] combative [AND] confident [IMPLY] hypocritical [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   hypocritical ∧ confident ⇒ combative
   hypocritical ∧ confident ⇒ combative
   combative ⇒ fine
   combative ∧ fine ∧ hypocritical ⇒ inquisitive
   inquisitive ⇒ lucky
",1,5
"Facts:  Alice is beautiful [PERIOD]
Rules:
beautiful [AND] worrisome [IMPLY] naughty [PERIOD]
disobedient [AND] ugliest [IMPLY] combative [PERIOD]
combative [IMPLY] jittery [PERIOD]
combative [AND] jittery [AND] ugliest [IMPLY] pleasant [PERIOD]
naughty [AND] ugliest [IMPLY] thoughtless [PERIOD]
nervous [IMPLY] bad-tempered [PERIOD]
pleasant [AND] tidy [IMPLY] ugliest [PERIOD]
combative [AND] jittery [IMPLY] worrisome [PERIOD]
rational [IMPLY] pleasant [PERIOD]
worrisome [AND] disobedient [IMPLY] ugliest [PERIOD]
naughty [IMPLY] ugliest [PERIOD]
pleasant [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] bad-tempered [PERIOD]
thoughtless [AND] naughty [AND] rational [IMPLY] bad-tempered [PERIOD]
ugliest [AND] worrisome [IMPLY] naughty [PERIOD]
thoughtless [AND] nervous [AND] combative [IMPLY] worrisome [PERIOD]
nervous [IMPLY] beautiful [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   No rule concludes “nervous.”
",0,1
"Facts:  Alice is helpful [PERIOD] Alice is confident [PERIOD] Alice is messy [PERIOD] Alice is gleaming [PERIOD] Alice is elated [PERIOD] Alice is different [PERIOD] Alice is rational [PERIOD] Alice is talkative [PERIOD] Alice is disobedient [PERIOD] Alice is sensible [PERIOD] Alice is zealous [PERIOD]
Rules:
gleaming [AND] talkative [IMPLY] zealous [PERIOD]
confident [AND] bright [AND] rational [IMPLY] elated [PERIOD]
confident [AND] sensible [AND] bright [IMPLY] talkative [PERIOD]
talkative [IMPLY] fearless [PERIOD]
fearless [AND] elated [IMPLY] proud [PERIOD]
elated [AND] rational [IMPLY] bright [PERIOD]
talkative [AND] rational [IMPLY] zealous [PERIOD]
fearless [AND] helpful [IMPLY] different [PERIOD]
proud [AND] fearless [AND] different [IMPLY] sensible [PERIOD]
messy [IMPLY] disobedient [PERIOD]
different [IMPLY] talkative [PERIOD]
zealous [IMPLY] confident [PERIOD]
fearless [AND] talkative [IMPLY] disobedient [PERIOD]
bright [AND] disobedient [AND] messy [IMPLY] fearless [PERIOD]
different [AND] gleaming [AND] confident [IMPLY] disobedient [PERIOD]
elated [AND] rational [IMPLY] talkative [PERIOD]
elated [AND] messy [IMPLY] talkative [PERIOD]
proud [AND] zealous [IMPLY] rational [PERIOD]
elated [AND] zealous [AND] talkative [IMPLY] fearless [PERIOD]
messy [IMPLY] different [PERIOD]
messy [IMPLY] fearless [PERIOD]
sensible [AND] messy [IMPLY] talkative [PERIOD]
bright [IMPLY] talkative [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   messy ⇒ fearless
",1,1
"Facts:  Alice is disobedient [PERIOD]
Rules:
spotless [AND] disobedient [IMPLY] supportive [PERIOD]
talented [IMPLY] glamorous [PERIOD]
intellectual [IMPLY] condemned [PERIOD]
grumpy [IMPLY] tame [PERIOD]
beautiful [AND] disobedient [AND] precious [IMPLY] grumpy [PERIOD]
condemned [AND] beautiful [IMPLY] precious [PERIOD]
intellectual [AND] beautiful [AND] grumpy [IMPLY] glamorous [PERIOD]
beautiful [AND] shiny [IMPLY] intellectual [PERIOD]
glamorous [IMPLY] wandering [PERIOD]
inexpensive [AND] talented [IMPLY] beautiful [PERIOD]
reserved [AND] wandering [AND] precious [IMPLY] impartial [PERIOD]
disobedient [AND] grumpy [IMPLY] inexpensive [PERIOD]
disobedient [AND] mean [IMPLY] reserved [PERIOD]
condemned [IMPLY] supportive [PERIOD]
beautiful [AND] precious [IMPLY] reserved [PERIOD]
talented [AND] condemned [AND] reserved [IMPLY] precious [PERIOD]
supportive [AND] reserved [IMPLY] intellectual [PERIOD]
talented [IMPLY] impartial [PERIOD]
shiny [AND] impartial [IMPLY] mean [PERIOD]
grumpy [IMPLY] spotless [PERIOD]
beautiful [AND] grumpy [IMPLY] mean [PERIOD]
mean [AND] reserved [AND] supportive [IMPLY] talented [PERIOD]
shiny [AND] condemned [AND] precious [IMPLY] mean [PERIOD]
strange [IMPLY] reserved [PERIOD]
strange [AND] talented [AND] supportive [IMPLY] tame [PERIOD]
impartial [AND] spotless [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] intellectual [PERIOD]
reserved [AND] supportive [IMPLY] glamorous [PERIOD]
impartial [AND] grumpy [IMPLY] strange [PERIOD]
talented [AND] shiny [AND] glamorous [IMPLY] wandering [PERIOD]
tame [AND] precious [AND] impartial [IMPLY] disobedient [PERIOD]
spotless [IMPLY] disobedient [PERIOD]
tame [AND] condemned [AND] intellectual [IMPLY] beautiful [PERIOD]
precious [AND] grumpy [AND] strange [IMPLY] disobedient [PERIOD]
reserved [AND] shiny [IMPLY] supportive [PERIOD]
glamorous [AND] impartial [IMPLY] mean [PERIOD]
grumpy [AND] reserved [AND] strange [IMPLY] condemned [PERIOD]
glamorous [AND] strange [IMPLY] intellectual [PERIOD]
mean [AND] wandering [AND] intellectual [IMPLY] reserved [PERIOD]
supportive [AND] precious [IMPLY] talented [PERIOD]
spotless [AND] strange [IMPLY] condemned [PERIOD]
mean [IMPLY] disobedient [PERIOD]
impartial [AND] supportive [IMPLY] beautiful [PERIOD]
mean [IMPLY] shiny [PERIOD]
impartial [IMPLY] tame [PERIOD]
beautiful [AND] grumpy [IMPLY] glamorous [PERIOD]
supportive [AND] disobedient [AND] inexpensive [IMPLY] precious [PERIOD]
reserved [IMPLY] mean [PERIOD]
strange [AND] precious [AND] impartial [IMPLY] supportive [PERIOD]
supportive [AND] spotless [IMPLY] shiny [PERIOD]
mean [AND] talented [AND] condemned [IMPLY] shiny [PERIOD]
beautiful [IMPLY] reserved [PERIOD]
supportive [AND] wandering [AND] glamorous [IMPLY] shiny [PERIOD]
wandering [IMPLY] talented [PERIOD]
reserved [AND] glamorous [AND] grumpy [IMPLY] condemned [PERIOD]
condemned [AND] spotless [IMPLY] tame [PERIOD]
impartial [IMPLY] disobedient [PERIOD]
mean [AND] reserved [AND] grumpy [IMPLY] disobedient [PERIOD]
wandering [AND] talented [AND] precious [IMPLY] strange [PERIOD]
grumpy [AND] tame [IMPLY] intellectual [PERIOD]
wandering [IMPLY] spotless [PERIOD]
impartial [AND] glamorous [IMPLY] wandering [PERIOD]
wandering [IMPLY] condemned [PERIOD]
intellectual [IMPLY] mean [PERIOD]
intellectual [IMPLY] glamorous [PERIOD]
strange [IMPLY] glamorous [PERIOD]
inexpensive [AND] wandering [AND] strange [IMPLY] reserved [PERIOD]
spotless [IMPLY] glamorous [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   disobedient ⇒ intellectual
   intellectual ⇒ condemned
   disobedient ⇒ intellectual
   intellectual ⇒ glamorous
   glamorous ⇒ wandering
   wandering ⇒ spotless
   condemned ∧ spotless ⇒ tame
",1,7
"Facts:  Alice is agreeable [PERIOD] Alice is naughty [PERIOD]
Rules:
bright [AND] aggressive [IMPLY] hurt [PERIOD]
hurt [AND] aggressive [AND] pessimistic [IMPLY] alert [PERIOD]
bored [AND] bright [IMPLY] charming [PERIOD]
aggressive [AND] gorgeous [AND] agreeable [IMPLY] charming [PERIOD]
aggressive [AND] agreeable [AND] gorgeous [IMPLY] alert [PERIOD]
precious [IMPLY] pessimistic [PERIOD]
agreeable [IMPLY] alert [PERIOD]
aggressive [AND] pessimistic [AND] naughty [IMPLY] precious [PERIOD]
hurt [AND] bright [IMPLY] bored [PERIOD]
naughty [AND] bright [IMPLY] helpful [PERIOD]
bored [IMPLY] bright [PERIOD]
alert [IMPLY] bored [PERIOD]
hurt [AND] charming [IMPLY] gorgeous [PERIOD]
gorgeous [IMPLY] alert [PERIOD]
hurt [AND] gorgeous [AND] charming [IMPLY] precious [PERIOD]
Query: Alice is hurt [PERIOD]","Proof chain:
   agreeable ⇒ alert
   alert ⇒ bored
   bored ⇒ bright
   Cannot apply rule “bright ∧ aggressive ⇒ hurt” because missing: aggressive.
",0,4
"Facts:  Alice is fine [PERIOD] Alice is straightforward [PERIOD] Alice is versatile [PERIOD] Alice is elegant [PERIOD] Alice is reserved [PERIOD] Alice is fearless [PERIOD] Alice is victorious [PERIOD] Alice is unpleasant [PERIOD]
Rules:
famous [AND] cruel [IMPLY] helpless [PERIOD]
naughty [AND] calm [AND] reserved [IMPLY] condemned [PERIOD]
famous [AND] reserved [AND] elegant [IMPLY] calm [PERIOD]
wide-eyed [AND] naughty [IMPLY] straightforward [PERIOD]
wide-eyed [AND] helpless [AND] weary [IMPLY] famous [PERIOD]
excited [AND] weary [AND] helpless [IMPLY] strange [PERIOD]
wandering [IMPLY] straightforward [PERIOD]
victorious [AND] calm [AND] condemned [IMPLY] straightforward [PERIOD]
strange [AND] wide-eyed [IMPLY] versatile [PERIOD]
anxious [AND] elegant [AND] weary [IMPLY] wide-eyed [PERIOD]
cruel [IMPLY] naughty [PERIOD]
condemned [IMPLY] calm [PERIOD]
reserved [AND] cruel [AND] helpless [IMPLY] calm [PERIOD]
anxious [AND] nervous [IMPLY] clean [PERIOD]
helpless [AND] straightforward [AND] victorious [IMPLY] fearless [PERIOD]
unpleasant [AND] excited [IMPLY] condemned [PERIOD]
clean [AND] reserved [IMPLY] fearless [PERIOD]
cruel [IMPLY] anxious [PERIOD]
unpleasant [AND] elegant [AND] wandering [IMPLY] fine [PERIOD]
strange [IMPLY] helpless [PERIOD]
fine [AND] victorious [IMPLY] versatile [PERIOD]
calm [AND] fine [IMPLY] victorious [PERIOD]
condemned [IMPLY] wide-eyed [PERIOD]
clean [IMPLY] excited [PERIOD]
clean [IMPLY] wandering [PERIOD]
anxious [AND] fine [AND] victorious [IMPLY] cruel [PERIOD]
fearless [IMPLY] excited [PERIOD]
wandering [AND] anxious [IMPLY] fearless [PERIOD]
naughty [AND] unpleasant [AND] elegant [IMPLY] helpless [PERIOD]
calm [AND] versatile [IMPLY] cruel [PERIOD]
Query: Alice is cruel [PERIOD]","Proof chain:
   fearless ⇒ excited
   unpleasant ∧ excited ⇒ condemned
   condemned ⇒ calm
   calm ∧ versatile ⇒ cruel
",1,4
"Facts: 
Rules:
weary [AND] talkative [AND] crowded [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] enchanting [PERIOD]
thoughtless [IMPLY] weary [PERIOD]
thoughtless [IMPLY] curious [PERIOD]
comfortable [IMPLY] crowded [PERIOD]
enchanting [IMPLY] crowded [PERIOD]
comfortable [AND] curious [AND] talkative [IMPLY] thoughtless [PERIOD]
talkative [AND] thoughtless [AND] comfortable [IMPLY] weary [PERIOD]
enchanting [AND] comfortable [IMPLY] weary [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   Cannot apply rule “thoughtless ⇒ weary” because missing: thoughtless.
   Cannot apply rule “talkative ∧ thoughtless ∧ comfortable ⇒ weary” because missing: talkative, thoughtless, comfortable.
   Cannot apply rule “enchanting ∧ comfortable ⇒ weary” because missing: enchanting, comfortable.
",0,3
"Facts:  Alice is pessimistic [PERIOD] Alice is silly [PERIOD] Alice is confused [PERIOD] Alice is hurt [PERIOD] Alice is agreeable [PERIOD] Alice is impartial [PERIOD] Alice is rude [PERIOD] Alice is impatient [PERIOD] Alice is lonely [PERIOD]
Rules:
rude [IMPLY] impatient [PERIOD]
bored [AND] rude [AND] frantic [IMPLY] agreeable [PERIOD]
bored [AND] agreeable [IMPLY] pessimistic [PERIOD]
impatient [AND] agreeable [AND] silly [IMPLY] pessimistic [PERIOD]
lonely [AND] agreeable [IMPLY] impartial [PERIOD]
agreeable [AND] lonely [AND] rude [IMPLY] confused [PERIOD]
lonely [IMPLY] pessimistic [PERIOD]
confused [AND] lonely [IMPLY] rude [PERIOD]
lonely [AND] silly [AND] frantic [IMPLY] hurt [PERIOD]
agreeable [IMPLY] rude [PERIOD]
agreeable [AND] rude [IMPLY] frantic [PERIOD]
bored [IMPLY] rude [PERIOD]
impatient [AND] agreeable [IMPLY] confused [PERIOD]
agreeable [AND] silly [AND] frantic [IMPLY] pessimistic [PERIOD]
silly [IMPLY] bored [PERIOD]
impatient [IMPLY] confused [PERIOD]
confused [AND] silly [AND] impatient [IMPLY] impartial [PERIOD]
impatient [AND] silly [AND] confused [IMPLY] rude [PERIOD]
confused [AND] rude [IMPLY] lonely [PERIOD]
agreeable [AND] impatient [IMPLY] impartial [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is pleasant [PERIOD] Alice is distinct [PERIOD] Alice is dishonest [PERIOD] Alice is sleepy [PERIOD] Alice is precious [PERIOD] Alice is helpless [PERIOD] Alice is fragile [PERIOD] Alice is curious [PERIOD] Alice is stormy [PERIOD] Alice is loving [PERIOD] Alice is ugly [PERIOD] Alice is cooperative [PERIOD] Alice is combative [PERIOD] Alice is weary [PERIOD] Alice is elated [PERIOD] Alice is thoughtless [PERIOD] Alice is adorable [PERIOD] Alice is hilarious [PERIOD] Alice is embarrassed [PERIOD]
Rules:
cooperative [AND] silly [IMPLY] elegant [PERIOD]
sleepy [AND] lonely [IMPLY] loving [PERIOD]
perfect [AND] gleaming [IMPLY] ugly [PERIOD]
embarrassed [AND] hilarious [IMPLY] loving [PERIOD]
helpless [AND] distinct [IMPLY] fragile [PERIOD]
weary [AND] pleasant [AND] reserved [IMPLY] silly [PERIOD]
adorable [IMPLY] fragile [PERIOD]
adorable [AND] helpless [AND] busy [IMPLY] gleaming [PERIOD]
reserved [AND] elegant [AND] ugly [IMPLY] combative [PERIOD]
frail [AND] dishonest [AND] sleepy [IMPLY] busy [PERIOD]
curious [AND] perfect [IMPLY] busy [PERIOD]
embarrassed [AND] distinct [IMPLY] busy [PERIOD]
embarrassed [AND] perfect [IMPLY] precious [PERIOD]
elegant [AND] frail [AND] thoughtless [IMPLY] gleaming [PERIOD]
precious [IMPLY] helpless [PERIOD]
lonely [AND] dishonest [IMPLY] shiny [PERIOD]
distinct [AND] uptight [AND] elated [IMPLY] cooperative [PERIOD]
perfect [AND] gleaming [IMPLY] pleasant [PERIOD]
busy [IMPLY] precious [PERIOD]
adorable [AND] gleaming [IMPLY] sleepy [PERIOD]
elated [AND] dishonest [IMPLY] shiny [PERIOD]
lonely [AND] busy [AND] helpless [IMPLY] dishonest [PERIOD]
distinct [IMPLY] busy [PERIOD]
hilarious [AND] ugly [AND] reserved [IMPLY] combative [PERIOD]
stormy [IMPLY] dishonest [PERIOD]
precious [AND] sleepy [IMPLY] distinct [PERIOD]
adorable [AND] stormy [IMPLY] curious [PERIOD]
thoughtless [AND] perfect [AND] elegant [IMPLY] lonely [PERIOD]
fragile [IMPLY] shiny [PERIOD]
shiny [AND] fragile [IMPLY] uptight [PERIOD]
gleaming [IMPLY] adorable [PERIOD]
sleepy [AND] fragile [IMPLY] hilarious [PERIOD]
shiny [AND] embarrassed [IMPLY] precious [PERIOD]
sleepy [AND] gleaming [AND] ugly [IMPLY] elegant [PERIOD]
shiny [IMPLY] pleasant [PERIOD]
perfect [IMPLY] uptight [PERIOD]
fragile [AND] curious [AND] ugly [IMPLY] frail [PERIOD]
embarrassed [AND] loving [AND] curious [IMPLY] sleepy [PERIOD]
adorable [AND] shiny [IMPLY] distinct [PERIOD]
helpless [IMPLY] stormy [PERIOD]
fragile [IMPLY] busy [PERIOD]
perfect [IMPLY] cooperative [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   elated ∧ dishonest ⇒ shiny
   shiny ∧ fragile ⇒ uptight
",1,2
"Facts:  Alice is frail [PERIOD] Alice is anxious [PERIOD]
Rules:
anxious [IMPLY] sincere [PERIOD]
anxious [AND] sincere [AND] helpful [IMPLY] enchanting [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   anxious ⇒ sincere
",1,1
"Facts: 
Rules:
excited [AND] lucky [AND] disgusted [IMPLY] fancy [PERIOD]
fancy [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] bossy [PERIOD]
disgusted [AND] good [AND] lucky [IMPLY] fancy [PERIOD]
excited [AND] fancy [AND] good [IMPLY] lucky [PERIOD]
excited [AND] good [AND] disgusted [IMPLY] bossy [PERIOD]
good [AND] bossy [AND] lucky [IMPLY] fancy [PERIOD]
fancy [IMPLY] excited [PERIOD]
fancy [AND] bossy [AND] excited [IMPLY] disgusted [PERIOD]
bossy [AND] good [IMPLY] disgusted [PERIOD]
lucky [AND] bossy [AND] excited [IMPLY] fancy [PERIOD]
excited [AND] lucky [AND] fancy [IMPLY] good [PERIOD]
good [IMPLY] disgusted [PERIOD]
good [IMPLY] bossy [PERIOD]
bossy [AND] fancy [IMPLY] disgusted [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   Cannot apply rule “excited ∧ lucky ∧ disgusted ⇒ fancy” because missing: excited, lucky, disgusted.
   Cannot apply rule “disgusted ∧ good ∧ lucky ⇒ fancy” because missing: disgusted, good, lucky.
   Cannot apply rule “good ∧ bossy ∧ lucky ⇒ fancy” because missing: good, bossy, lucky.
   Cannot apply rule “lucky ∧ bossy ∧ excited ⇒ fancy” because missing: lucky, bossy, excited.
",0,4
"Facts: 
Rules:
smart [IMPLY] pleasant [PERIOD]
fancy [AND] spotless [AND] hypocritical [IMPLY] comfortable [PERIOD]
pleasant [AND] spotless [AND] difficult [IMPLY] attractive [PERIOD]
pleasant [AND] attractive [IMPLY] spotless [PERIOD]
fancy [AND] difficult [AND] smart [IMPLY] diplomatic [PERIOD]
cute [AND] attractive [IMPLY] blushing [PERIOD]
cute [AND] unpleasant [IMPLY] spotless [PERIOD]
difficult [IMPLY] pleasant [PERIOD]
pleasant [AND] blushing [IMPLY] difficult [PERIOD]
impatient [AND] blushing [AND] cute [IMPLY] diplomatic [PERIOD]
cute [AND] diplomatic [AND] spotless [IMPLY] attractive [PERIOD]
hypocritical [AND] blushing [AND] unpleasant [IMPLY] impatient [PERIOD]
difficult [AND] attractive [IMPLY] diplomatic [PERIOD]
hypocritical [AND] impatient [IMPLY] difficult [PERIOD]
smart [AND] cute [AND] fancy [IMPLY] unpleasant [PERIOD]
unpleasant [AND] pleasant [IMPLY] spotless [PERIOD]
hypocritical [AND] attractive [AND] pleasant [IMPLY] spotless [PERIOD]
attractive [AND] unpleasant [AND] cute [IMPLY] spotless [PERIOD]
pleasant [AND] difficult [AND] spotless [IMPLY] comfortable [PERIOD]
hypocritical [AND] blushing [AND] attractive [IMPLY] cute [PERIOD]
fancy [AND] attractive [IMPLY] difficult [PERIOD]
pleasant [IMPLY] impatient [PERIOD]
spotless [AND] fancy [AND] impatient [IMPLY] cute [PERIOD]
difficult [AND] comfortable [IMPLY] fancy [PERIOD]
impatient [IMPLY] pleasant [PERIOD]
impatient [IMPLY] difficult [PERIOD]
pleasant [AND] spotless [IMPLY] unpleasant [PERIOD]
difficult [IMPLY] hypocritical [PERIOD]
diplomatic [AND] smart [IMPLY] cute [PERIOD]
fancy [AND] cute [AND] unpleasant [IMPLY] hypocritical [PERIOD]
cute [AND] pleasant [IMPLY] blushing [PERIOD]
attractive [AND] cute [IMPLY] spotless [PERIOD]
smart [AND] diplomatic [IMPLY] pleasant [PERIOD]
spotless [AND] attractive [IMPLY] cute [PERIOD]
hypocritical [AND] impatient [AND] unpleasant [IMPLY] spotless [PERIOD]
diplomatic [IMPLY] blushing [PERIOD]
fancy [AND] spotless [AND] diplomatic [IMPLY] pleasant [PERIOD]
attractive [IMPLY] unpleasant [PERIOD]
attractive [AND] fancy [IMPLY] blushing [PERIOD]
attractive [AND] spotless [AND] smart [IMPLY] unpleasant [PERIOD]
difficult [IMPLY] unpleasant [PERIOD]
smart [AND] pleasant [AND] difficult [IMPLY] comfortable [PERIOD]
smart [IMPLY] diplomatic [PERIOD]
comfortable [IMPLY] unpleasant [PERIOD]
impatient [AND] diplomatic [IMPLY] spotless [PERIOD]
Query: Alice is cute [PERIOD]","Proof chain:
   Cannot apply rule “hypocritical ∧ blushing ∧ attractive ⇒ cute” because missing: hypocritical, blushing, attractive.
   Cannot apply rule “spotless ∧ fancy ∧ impatient ⇒ cute” because missing: spotless, fancy, impatient.
   Cannot apply rule “diplomatic ∧ smart ⇒ cute” because missing: diplomatic, smart.
   Cannot apply rule “spotless ∧ attractive ⇒ cute” because missing: spotless, attractive.
",0,4
"Facts:  Alice is wandering [PERIOD] Alice is pessimistic [PERIOD] Alice is hilarious [PERIOD] Alice is frantic [PERIOD] Alice is worrisome [PERIOD]
Rules:
amused [IMPLY] bored [PERIOD]
attractive [AND] good [AND] lucky [IMPLY] tender [PERIOD]
bored [IMPLY] tender [PERIOD]
hilarious [AND] worrisome [AND] bored [IMPLY] elated [PERIOD]
easy [IMPLY] impartial [PERIOD]
bored [AND] elated [IMPLY] tender [PERIOD]
old-fashioned [AND] careless [AND] good [IMPLY] different [PERIOD]
different [IMPLY] worrisome [PERIOD]
tense [AND] pessimistic [IMPLY] elated [PERIOD]
easy [IMPLY] dishonest [PERIOD]
different [IMPLY] lucky [PERIOD]
different [AND] elated [IMPLY] old-fashioned [PERIOD]
modern [AND] careless [AND] amused [IMPLY] attractive [PERIOD]
elated [IMPLY] quaint [PERIOD]
excited [IMPLY] impartial [PERIOD]
tense [AND] tender [AND] hilarious [IMPLY] careless [PERIOD]
dishonest [AND] elated [IMPLY] frantic [PERIOD]
bored [IMPLY] modern [PERIOD]
old-fashioned [IMPLY] wandering [PERIOD]
careless [AND] worrisome [AND] famous [IMPLY] old-fashioned [PERIOD]
excited [IMPLY] disgusted [PERIOD]
elated [IMPLY] famous [PERIOD]
pessimistic [AND] good [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] tidy [IMPLY] bored [PERIOD]
elated [IMPLY] careless [PERIOD]
old-fashioned [AND] different [IMPLY] easy [PERIOD]
tidy [AND] excited [IMPLY] worrisome [PERIOD]
quaint [AND] easy [IMPLY] famous [PERIOD]
bored [AND] dishonest [AND] amused [IMPLY] disgusted [PERIOD]
frantic [IMPLY] worrisome [PERIOD]
tidy [IMPLY] modern [PERIOD]
careless [AND] amused [IMPLY] different [PERIOD]
easy [IMPLY] helpless [PERIOD]
easy [AND] lucky [AND] famous [IMPLY] helpless [PERIOD]
tidy [AND] frantic [IMPLY] good [PERIOD]
famous [IMPLY] bored [PERIOD]
easy [AND] quaint [IMPLY] frantic [PERIOD]
tidy [IMPLY] tender [PERIOD]
modern [IMPLY] tender [PERIOD]
disgusted [AND] excited [IMPLY] lucky [PERIOD]
famous [AND] frantic [AND] hilarious [IMPLY] bored [PERIOD]
hilarious [AND] elated [IMPLY] bored [PERIOD]
pessimistic [IMPLY] bored [PERIOD]
wandering [IMPLY] tender [PERIOD]
tense [AND] quaint [AND] easy [IMPLY] bored [PERIOD]
bored [IMPLY] disgusted [PERIOD]
amused [IMPLY] excited [PERIOD]
different [IMPLY] bored [PERIOD]
careless [AND] attractive [IMPLY] helpless [PERIOD]
amused [AND] wandering [IMPLY] tender [PERIOD]
famous [AND] tender [IMPLY] impartial [PERIOD]
frantic [AND] easy [IMPLY] helpless [PERIOD]
helpless [AND] easy [IMPLY] dishonest [PERIOD]
tender [IMPLY] frantic [PERIOD]
tense [IMPLY] bored [PERIOD]
excited [IMPLY] tender [PERIOD]
bored [IMPLY] careless [PERIOD]
careless [IMPLY] quaint [PERIOD]
modern [IMPLY] pessimistic [PERIOD]
amused [IMPLY] careless [PERIOD]
dishonest [AND] attractive [AND] tender [IMPLY] careless [PERIOD]
lucky [AND] different [IMPLY] famous [PERIOD]
helpless [AND] worrisome [AND] famous [IMPLY] good [PERIOD]
lucky [AND] bored [AND] tender [IMPLY] old-fashioned [PERIOD]
bored [IMPLY] helpless [PERIOD]
easy [AND] quaint [IMPLY] worrisome [PERIOD]
frantic [AND] tidy [IMPLY] lucky [PERIOD]
amused [AND] helpless [AND] wandering [IMPLY] attractive [PERIOD]
amused [AND] bored [AND] excited [IMPLY] hilarious [PERIOD]
amused [AND] attractive [IMPLY] excited [PERIOD]
different [AND] tense [IMPLY] attractive [PERIOD]
tidy [IMPLY] different [PERIOD]
famous [IMPLY] elated [PERIOD]
amused [AND] disgusted [AND] bored [IMPLY] tidy [PERIOD]
different [AND] impartial [IMPLY] excited [PERIOD]
dishonest [IMPLY] worrisome [PERIOD]
quaint [IMPLY] easy [PERIOD]
famous [AND] different [AND] careless [IMPLY] pessimistic [PERIOD]
modern [AND] good [IMPLY] lucky [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   pessimistic ⇒ bored
   hilarious ∧ worrisome ∧ bored ⇒ elated
   elated ⇒ famous
",1,3
"Facts:  Alice is agreeable [PERIOD]
Rules:
intellectual [IMPLY] impatient [PERIOD]
famous [AND] mysterious [IMPLY] talkative [PERIOD]
exuberant [AND] quaint [AND] hilarious [IMPLY] disgusted [PERIOD]
talkative [AND] cruel [AND] naughty [IMPLY] hilarious [PERIOD]
famous [IMPLY] fragile [PERIOD]
agreeable [AND] cruel [IMPLY] gleaming [PERIOD]
cruel [IMPLY] gleaming [PERIOD]
agreeable [IMPLY] famous [PERIOD]
quaint [AND] cruel [AND] hilarious [IMPLY] naughty [PERIOD]
naughty [AND] cooperative [IMPLY] quaint [PERIOD]
hilarious [AND] famous [AND] agreeable [IMPLY] calm [PERIOD]
intellectual [AND] calm [AND] cruel [IMPLY] talkative [PERIOD]
cooperative [AND] naughty [IMPLY] impatient [PERIOD]
impatient [IMPLY] intellectual [PERIOD]
fragile [AND] mysterious [AND] cooperative [IMPLY] exuberant [PERIOD]
mysterious [AND] naughty [IMPLY] calm [PERIOD]
calm [AND] agreeable [IMPLY] gleaming [PERIOD]
cruel [AND] naughty [AND] famous [IMPLY] calm [PERIOD]
mysterious [AND] agreeable [IMPLY] cooperative [PERIOD]
talkative [AND] quaint [AND] cruel [IMPLY] impatient [PERIOD]
impatient [AND] talkative [AND] mysterious [IMPLY] fragile [PERIOD]
agreeable [AND] cruel [IMPLY] famous [PERIOD]
intellectual [IMPLY] quaint [PERIOD]
hilarious [AND] naughty [AND] disgusted [IMPLY] cooperative [PERIOD]
calm [IMPLY] agreeable [PERIOD]
mysterious [AND] cruel [IMPLY] naughty [PERIOD]
fragile [IMPLY] intellectual [PERIOD]
talkative [AND] cooperative [IMPLY] fragile [PERIOD]
fragile [AND] cooperative [IMPLY] cruel [PERIOD]
talkative [AND] cruel [AND] calm [IMPLY] disgusted [PERIOD]
disgusted [AND] fragile [AND] exuberant [IMPLY] impatient [PERIOD]
talkative [AND] impatient [AND] famous [IMPLY] calm [PERIOD]
exuberant [AND] fragile [AND] gleaming [IMPLY] hilarious [PERIOD]
quaint [IMPLY] calm [PERIOD]
famous [AND] mysterious [IMPLY] naughty [PERIOD]
mysterious [AND] naughty [AND] cruel [IMPLY] disgusted [PERIOD]
talkative [AND] gleaming [AND] exuberant [IMPLY] agreeable [PERIOD]
gleaming [IMPLY] naughty [PERIOD]
hilarious [AND] gleaming [AND] quaint [IMPLY] intellectual [PERIOD]
famous [AND] cooperative [IMPLY] naughty [PERIOD]
impatient [IMPLY] famous [PERIOD]
Query: Alice is mysterious [PERIOD]","Proof chain:
   No rule concludes “mysterious.”
",0,1
"Facts:  Alice is busy [PERIOD] Alice is adorable [PERIOD] Alice is old-fashioned [PERIOD] Alice is scared [PERIOD] Alice is clean [PERIOD]
Rules:
quaint [IMPLY] different [PERIOD]
clean [IMPLY] tame [PERIOD]
old-fashioned [AND] adorable [AND] quaint [IMPLY] busy [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
   No rule concludes “reserved.”
",0,1
"Facts: 
Rules:
wide-eyed [AND] talkative [AND] stubborn [IMPLY] zealous [PERIOD]
zealous [AND] grumpy [IMPLY] talkative [PERIOD]
wide-eyed [IMPLY] zealous [PERIOD]
grumpy [AND] talkative [AND] wide-eyed [IMPLY] stubborn [PERIOD]
stubborn [AND] talkative [AND] grumpy [IMPLY] zealous [PERIOD]
stubborn [IMPLY] wide-eyed [PERIOD]
talkative [AND] stubborn [AND] grumpy [IMPLY] wide-eyed [PERIOD]
talkative [AND] stubborn [AND] zealous [IMPLY] wide-eyed [PERIOD]
zealous [AND] wide-eyed [IMPLY] grumpy [PERIOD]
wide-eyed [AND] stubborn [IMPLY] zealous [PERIOD]
stubborn [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] zealous [PERIOD]
grumpy [IMPLY] stubborn [PERIOD]
wide-eyed [AND] zealous [AND] stubborn [IMPLY] grumpy [PERIOD]
zealous [AND] wide-eyed [AND] grumpy [IMPLY] stubborn [PERIOD]
wide-eyed [AND] stubborn [AND] zealous [IMPLY] talkative [PERIOD]
stubborn [AND] zealous [IMPLY] grumpy [PERIOD]
talkative [AND] zealous [AND] stubborn [IMPLY] grumpy [PERIOD]
wide-eyed [AND] stubborn [AND] talkative [IMPLY] grumpy [PERIOD]
Query: Alice is zealous [PERIOD]","Proof chain:
   Cannot apply rule “wide-eyed ∧ talkative ∧ stubborn ⇒ zealous” because missing: wide-eyed, talkative, stubborn.
   Cannot apply rule “wide-eyed ⇒ zealous” because missing: wide-eyed.
   Cannot apply rule “stubborn ∧ talkative ∧ grumpy ⇒ zealous” because missing: stubborn, talkative, grumpy.
   Cannot apply rule “wide-eyed ∧ stubborn ⇒ zealous” because missing: wide-eyed, stubborn.
   Cannot apply rule “grumpy ⇒ zealous” because missing: grumpy.
",0,5
"Facts:  Alice is intellectual [PERIOD] Alice is thoughtful [PERIOD] Alice is excited [PERIOD] Alice is adorable [PERIOD]
Rules:
intellectual [AND] adorable [AND] quaint [IMPLY] foolish [PERIOD]
aggressive [IMPLY] ambitious [PERIOD]
straightforward [AND] excited [IMPLY] pessimistic [PERIOD]
foolish [IMPLY] fearless [PERIOD]
precious [AND] blushing [IMPLY] cooperative [PERIOD]
cooperative [AND] pessimistic [AND] thoughtful [IMPLY] aggressive [PERIOD]
fearless [AND] intellectual [AND] excited [IMPLY] helpless [PERIOD]
unpleasant [AND] disgusted [AND] fancy [IMPLY] popular [PERIOD]
cooperative [AND] confused [IMPLY] thoughtful [PERIOD]
straightforward [AND] intellectual [IMPLY] helpless [PERIOD]
innocent [IMPLY] cooperative [PERIOD]
intellectual [AND] cooperative [AND] quaint [IMPLY] inexpensive [PERIOD]
pessimistic [IMPLY] fearless [PERIOD]
inexpensive [AND] excited [AND] straightforward [IMPLY] precious [PERIOD]
popular [IMPLY] inexpensive [PERIOD]
precious [IMPLY] confused [PERIOD]
helpless [AND] precious [AND] aggressive [IMPLY] cooperative [PERIOD]
precious [AND] modern [AND] foolish [IMPLY] popular [PERIOD]
aggressive [IMPLY] cooperative [PERIOD]
proud [IMPLY] excited [PERIOD]
fearless [IMPLY] adorable [PERIOD]
quaint [AND] ambitious [AND] unpleasant [IMPLY] popular [PERIOD]
aggressive [AND] cooperative [AND] innocent [IMPLY] intellectual [PERIOD]
proud [IMPLY] precious [PERIOD]
popular [AND] shiny [AND] inexpensive [IMPLY] blushing [PERIOD]
cooperative [IMPLY] blushing [PERIOD]
quaint [AND] modern [IMPLY] innocent [PERIOD]
ambitious [AND] innocent [IMPLY] quaint [PERIOD]
innocent [AND] fancy [AND] quaint [IMPLY] fearless [PERIOD]
blushing [AND] foolish [AND] modern [IMPLY] popular [PERIOD]
aggressive [IMPLY] excited [PERIOD]
confused [AND] quaint [IMPLY] proud [PERIOD]
intellectual [IMPLY] unpleasant [PERIOD]
quaint [IMPLY] cooperative [PERIOD]
excited [AND] thoughtful [AND] foolish [IMPLY] helpless [PERIOD]
pessimistic [IMPLY] straightforward [PERIOD]
cooperative [AND] disgusted [AND] straightforward [IMPLY] popular [PERIOD]
excited [AND] popular [IMPLY] fancy [PERIOD]
blushing [AND] ambitious [IMPLY] unpleasant [PERIOD]
adorable [AND] thoughtful [AND] shiny [IMPLY] foolish [PERIOD]
quaint [AND] fearless [IMPLY] thoughtful [PERIOD]
blushing [AND] adorable [IMPLY] unpleasant [PERIOD]
helpless [AND] thoughtful [IMPLY] foolish [PERIOD]
intellectual [AND] fancy [AND] proud [IMPLY] popular [PERIOD]
inexpensive [AND] intellectual [IMPLY] innocent [PERIOD]
blushing [AND] ambitious [IMPLY] aggressive [PERIOD]
foolish [AND] ambitious [IMPLY] pessimistic [PERIOD]
excited [AND] innocent [AND] proud [IMPLY] intellectual [PERIOD]
foolish [AND] pessimistic [IMPLY] aggressive [PERIOD]
blushing [AND] shiny [IMPLY] quaint [PERIOD]
precious [AND] adorable [AND] aggressive [IMPLY] shiny [PERIOD]
confused [IMPLY] unpleasant [PERIOD]
straightforward [AND] proud [AND] popular [IMPLY] aggressive [PERIOD]
helpless [IMPLY] precious [PERIOD]
excited [AND] quaint [AND] unpleasant [IMPLY] fancy [PERIOD]
quaint [AND] foolish [IMPLY] thoughtful [PERIOD]
fancy [IMPLY] modern [PERIOD]
helpless [IMPLY] foolish [PERIOD]
popular [AND] inexpensive [AND] modern [IMPLY] foolish [PERIOD]
helpless [AND] innocent [IMPLY] fearless [PERIOD]
inexpensive [AND] popular [IMPLY] unpleasant [PERIOD]
proud [AND] helpless [AND] unpleasant [IMPLY] ambitious [PERIOD]
disgusted [IMPLY] helpless [PERIOD]
fancy [AND] disgusted [AND] unpleasant [IMPLY] helpless [PERIOD]
thoughtful [IMPLY] pessimistic [PERIOD]
aggressive [AND] cooperative [IMPLY] innocent [PERIOD]
excited [AND] pessimistic [AND] innocent [IMPLY] confused [PERIOD]
fearless [AND] cooperative [AND] innocent [IMPLY] popular [PERIOD]
foolish [AND] aggressive [IMPLY] popular [PERIOD]
shiny [AND] adorable [IMPLY] helpless [PERIOD]
helpless [IMPLY] disgusted [PERIOD]
fancy [AND] adorable [AND] helpless [IMPLY] confused [PERIOD]
disgusted [AND] confused [IMPLY] cooperative [PERIOD]
straightforward [IMPLY] helpless [PERIOD]
modern [AND] confused [IMPLY] excited [PERIOD]
adorable [AND] aggressive [IMPLY] unpleasant [PERIOD]
inexpensive [IMPLY] fancy [PERIOD]
modern [AND] cooperative [IMPLY] inexpensive [PERIOD]
shiny [AND] excited [AND] foolish [IMPLY] pessimistic [PERIOD]
confused [AND] unpleasant [AND] pessimistic [IMPLY] excited [PERIOD]
precious [IMPLY] disgusted [PERIOD]
adorable [AND] popular [IMPLY] pessimistic [PERIOD]
thoughtful [AND] confused [AND] popular [IMPLY] straightforward [PERIOD]
modern [IMPLY] straightforward [PERIOD]
modern [IMPLY] adorable [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   thoughtful ⇒ pessimistic
   pessimistic ⇒ fearless
   fearless ∧ intellectual ∧ excited ⇒ helpless
   helpless ∧ thoughtful ⇒ foolish
   thoughtful ⇒ pessimistic
   foolish ∧ pessimistic ⇒ aggressive
   aggressive ⇒ ambitious
",1,7
"Facts: 
Rules:
fancy [AND] long [AND] tame [IMPLY] tense [PERIOD]
light [IMPLY] straightforward [PERIOD]
straightforward [IMPLY] light [PERIOD]
tense [IMPLY] tame [PERIOD]
straightforward [AND] fancy [AND] long [IMPLY] tame [PERIOD]
light [AND] long [AND] tense [IMPLY] straightforward [PERIOD]
straightforward [AND] long [AND] fancy [IMPLY] tense [PERIOD]
fancy [AND] light [IMPLY] straightforward [PERIOD]
long [AND] light [AND] fancy [IMPLY] straightforward [PERIOD]
light [AND] tame [AND] tense [IMPLY] straightforward [PERIOD]
fancy [IMPLY] straightforward [PERIOD]
long [IMPLY] tense [PERIOD]
straightforward [AND] fancy [AND] tense [IMPLY] light [PERIOD]
tense [AND] tame [IMPLY] light [PERIOD]
tense [AND] tame [IMPLY] long [PERIOD]
tame [AND] long [IMPLY] tense [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   Cannot apply rule “light ⇒ straightforward” because missing: light.
   Cannot apply rule “light ∧ long ∧ tense ⇒ straightforward” because missing: light, long, tense.
   Cannot apply rule “fancy ∧ light ⇒ straightforward” because missing: fancy, light.
   Cannot apply rule “long ∧ light ∧ fancy ⇒ straightforward” because missing: long, light, fancy.
   Cannot apply rule “light ∧ tame ∧ tense ⇒ straightforward” because missing: light, tame, tense.
   Cannot apply rule “fancy ⇒ straightforward” because missing: fancy.
",0,6
"Facts:  Alice is elated [PERIOD] Alice is disobedient [PERIOD] Alice is calm [PERIOD] Alice is attractive [PERIOD]
Rules:
disobedient [IMPLY] embarrassed [PERIOD]
foolish [AND] elated [IMPLY] old-fashioned [PERIOD]
stubborn [AND] tender [IMPLY] embarrassed [PERIOD]
easy [AND] light [IMPLY] elated [PERIOD]
easy [AND] light [IMPLY] condemned [PERIOD]
condemned [IMPLY] easy [PERIOD]
impartial [AND] proud [AND] foolish [IMPLY] light [PERIOD]
old-fashioned [IMPLY] plain [PERIOD]
foolish [AND] easy [IMPLY] quaint [PERIOD]
attractive [IMPLY] elated [PERIOD]
plain [AND] tender [IMPLY] impartial [PERIOD]
quaint [AND] impartial [IMPLY] plain [PERIOD]
easy [AND] quaint [IMPLY] condemned [PERIOD]
disobedient [AND] quaint [IMPLY] easy [PERIOD]
Query: Alice is condemned [PERIOD]","Proof chain:
   Cannot apply rule “easy ∧ light ⇒ condemned” because missing: easy, light.
   Cannot apply rule “easy ∧ quaint ⇒ condemned” because missing: easy, quaint.
",0,2
"Facts:  Alice is stormy [PERIOD]
Rules:
tender [AND] scared [IMPLY] rational [PERIOD]
spotless [AND] tense [IMPLY] stormy [PERIOD]
tense [AND] alert [AND] shy [IMPLY] precious [PERIOD]
thoughtless [AND] shy [AND] precious [IMPLY] rational [PERIOD]
thoughtless [AND] alert [IMPLY] rational [PERIOD]
muddy [AND] precious [IMPLY] rational [PERIOD]
witty [IMPLY] selfish [PERIOD]
tense [IMPLY] precious [PERIOD]
tame [AND] witty [IMPLY] hypocritical [PERIOD]
tender [AND] tense [IMPLY] witty [PERIOD]
muddy [AND] witty [IMPLY] anxious [PERIOD]
anxious [AND] tender [AND] old-fashioned [IMPLY] condemned [PERIOD]
spotless [IMPLY] shy [PERIOD]
condemned [IMPLY] easy [PERIOD]
thoughtless [AND] old-fashioned [IMPLY] anxious [PERIOD]
tender [IMPLY] nervous [PERIOD]
precious [AND] old-fashioned [IMPLY] easy [PERIOD]
rational [AND] anxious [IMPLY] scared [PERIOD]
dishonest [IMPLY] nervous [PERIOD]
shy [AND] rational [IMPLY] easy [PERIOD]
tame [AND] stormy [AND] spotless [IMPLY] selfish [PERIOD]
tender [IMPLY] scared [PERIOD]
easy [AND] alert [AND] precious [IMPLY] witty [PERIOD]
alert [AND] shy [IMPLY] rational [PERIOD]
thoughtless [AND] tender [AND] alert [IMPLY] shy [PERIOD]
scared [IMPLY] tame [PERIOD]
condemned [AND] tense [IMPLY] tame [PERIOD]
tame [IMPLY] tense [PERIOD]
alert [AND] witty [IMPLY] anxious [PERIOD]
scared [IMPLY] shy [PERIOD]
hypocritical [IMPLY] spotless [PERIOD]
scared [IMPLY] nervous [PERIOD]
shy [IMPLY] easy [PERIOD]
tame [AND] tender [AND] hypocritical [IMPLY] muddy [PERIOD]
stormy [IMPLY] witty [PERIOD]
alert [AND] hypocritical [AND] dishonest [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] shy [AND] stormy [IMPLY] tender [PERIOD]
hypocritical [AND] scared [IMPLY] muddy [PERIOD]
muddy [IMPLY] rational [PERIOD]
alert [IMPLY] tame [PERIOD]
muddy [AND] scared [AND] alert [IMPLY] thoughtless [PERIOD]
dishonest [IMPLY] rational [PERIOD]
anxious [AND] selfish [AND] tame [IMPLY] easy [PERIOD]
tense [AND] hypocritical [IMPLY] old-fashioned [PERIOD]
tender [AND] selfish [AND] shy [IMPLY] old-fashioned [PERIOD]
easy [IMPLY] spotless [PERIOD]
selfish [IMPLY] old-fashioned [PERIOD]
spotless [IMPLY] precious [PERIOD]
precious [AND] muddy [IMPLY] tender [PERIOD]
dishonest [AND] tense [AND] selfish [IMPLY] precious [PERIOD]
anxious [IMPLY] easy [PERIOD]
stormy [IMPLY] hypocritical [PERIOD]
old-fashioned [IMPLY] dishonest [PERIOD]
witty [IMPLY] muddy [PERIOD]
tame [AND] hypocritical [AND] condemned [IMPLY] old-fashioned [PERIOD]
tender [AND] selfish [AND] nervous [IMPLY] muddy [PERIOD]
hypocritical [AND] precious [IMPLY] easy [PERIOD]
spotless [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] witty [PERIOD]
tense [IMPLY] tender [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   stormy ⇒ witty
   witty ⇒ muddy
",1,2
"Facts:  Alice is distinct [PERIOD] Alice is average [PERIOD]
Rules:
supportive [AND] clean [AND] calm [IMPLY] outstanding [PERIOD]
calm [AND] supportive [IMPLY] scared [PERIOD]
shiny [IMPLY] rational [PERIOD]
average [IMPLY] calm [PERIOD]
fine [AND] cruel [IMPLY] rational [PERIOD]
scared [IMPLY] adorable [PERIOD]
fine [AND] tender [IMPLY] worrisome [PERIOD]
outstanding [IMPLY] adorable [PERIOD]
rational [AND] supportive [IMPLY] outstanding [PERIOD]
hypocritical [IMPLY] outstanding [PERIOD]
cute [IMPLY] distinct [PERIOD]
tender [IMPLY] rational [PERIOD]
foolish [IMPLY] clean [PERIOD]
cute [IMPLY] perfect [PERIOD]
worrisome [AND] cruel [IMPLY] supportive [PERIOD]
supportive [AND] calm [AND] distinct [IMPLY] scared [PERIOD]
fine [IMPLY] outstanding [PERIOD]
cruel [AND] calm [AND] worrisome [IMPLY] shiny [PERIOD]
vivacious [IMPLY] foolish [PERIOD]
cruel [IMPLY] clean [PERIOD]
scared [AND] tender [IMPLY] supportive [PERIOD]
perfect [AND] clean [IMPLY] shiny [PERIOD]
supportive [AND] clean [IMPLY] scared [PERIOD]
calm [AND] outstanding [AND] supportive [IMPLY] distinct [PERIOD]
cruel [AND] tender [IMPLY] good [PERIOD]
good [IMPLY] cruel [PERIOD]
worrisome [AND] cruel [IMPLY] foolish [PERIOD]
adorable [AND] cute [AND] fine [IMPLY] supportive [PERIOD]
scared [AND] foolish [IMPLY] hypocritical [PERIOD]
adorable [AND] good [AND] rude [IMPLY] worrisome [PERIOD]
outstanding [AND] adorable [IMPLY] supportive [PERIOD]
good [AND] clean [AND] scared [IMPLY] cruel [PERIOD]
vivacious [AND] rude [AND] shiny [IMPLY] good [PERIOD]
distinct [AND] cute [AND] tender [IMPLY] adorable [PERIOD]
worrisome [AND] rude [IMPLY] average [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   Cannot apply rule “vivacious ⇒ foolish” because missing: vivacious.
   Cannot apply rule “worrisome ∧ cruel ⇒ foolish” because missing: worrisome, cruel.
",0,2
"Facts:  Alice is rude [PERIOD] Alice is intellectual [PERIOD]
Rules:
comfortable [AND] rude [AND] powerful [IMPLY] confident [PERIOD]
rude [IMPLY] quaint [PERIOD]
comfortable [AND] stubborn [AND] elegant [IMPLY] rude [PERIOD]
elegant [AND] grumpy [IMPLY] smart [PERIOD]
worrisome [IMPLY] comfortable [PERIOD]
worrisome [IMPLY] rude [PERIOD]
quaint [IMPLY] comfortable [PERIOD]
attractive [AND] powerful [IMPLY] grumpy [PERIOD]
quaint [AND] pleasant [AND] jittery [IMPLY] rude [PERIOD]
smart [AND] quaint [AND] stubborn [IMPLY] jittery [PERIOD]
quaint [AND] disgusted [IMPLY] naughty [PERIOD]
Query: Alice is confident [PERIOD]","Proof chain:
   rude ⇒ quaint
   quaint ⇒ comfortable
   Cannot apply rule “comfortable ∧ rude ∧ powerful ⇒ confident” because missing: powerful.
",0,3
"Facts:  Alice is horrible [PERIOD]
Rules:
stubborn [AND] confused [AND] dishonest [IMPLY] homely [PERIOD]
dishonest [AND] supportive [IMPLY] tired [PERIOD]
supportive [IMPLY] horrible [PERIOD]
stubborn [AND] mysterious [IMPLY] powerful [PERIOD]
stupid [IMPLY] rational [PERIOD]
horrible [AND] powerful [AND] fragile [IMPLY] supportive [PERIOD]
confused [AND] supportive [AND] mysterious [IMPLY] rational [PERIOD]
horrible [IMPLY] supportive [PERIOD]
confused [AND] mysterious [IMPLY] dishonest [PERIOD]
dishonest [AND] confused [AND] rational [IMPLY] homely [PERIOD]
stupid [AND] rational [IMPLY] horrible [PERIOD]
stubborn [IMPLY] fragile [PERIOD]
powerful [AND] homely [IMPLY] stupid [PERIOD]
horrible [IMPLY] powerful [PERIOD]
dishonest [AND] gorgeous [IMPLY] fragile [PERIOD]
stupid [IMPLY] homely [PERIOD]
powerful [AND] fragile [IMPLY] confused [PERIOD]
stupid [AND] mysterious [AND] fragile [IMPLY] powerful [PERIOD]
stupid [IMPLY] confused [PERIOD]
confused [AND] vivacious [AND] dishonest [IMPLY] tired [PERIOD]
gorgeous [AND] stubborn [AND] vivacious [IMPLY] horrible [PERIOD]
fragile [IMPLY] mysterious [PERIOD]
powerful [AND] stubborn [AND] gorgeous [IMPLY] supportive [PERIOD]
mysterious [IMPLY] fragile [PERIOD]
stubborn [AND] dishonest [AND] rational [IMPLY] horrible [PERIOD]
homely [AND] rational [AND] supportive [IMPLY] dishonest [PERIOD]
stupid [AND] vivacious [IMPLY] stubborn [PERIOD]
fragile [IMPLY] rational [PERIOD]
powerful [AND] fragile [IMPLY] gorgeous [PERIOD]
stupid [IMPLY] tired [PERIOD]
powerful [AND] mysterious [IMPLY] horrible [PERIOD]
tired [AND] confused [AND] dishonest [IMPLY] fragile [PERIOD]
stupid [AND] supportive [IMPLY] confused [PERIOD]
mysterious [AND] homely [AND] stubborn [IMPLY] powerful [PERIOD]
fragile [AND] homely [IMPLY] vivacious [PERIOD]
supportive [AND] vivacious [IMPLY] stubborn [PERIOD]
mysterious [IMPLY] tired [PERIOD]
supportive [AND] confused [AND] stubborn [IMPLY] dishonest [PERIOD]
rational [AND] homely [IMPLY] fragile [PERIOD]
rational [IMPLY] confused [PERIOD]
homely [IMPLY] stubborn [PERIOD]
gorgeous [IMPLY] horrible [PERIOD]
gorgeous [AND] stupid [AND] dishonest [IMPLY] homely [PERIOD]
gorgeous [AND] stupid [IMPLY] vivacious [PERIOD]
horrible [AND] mysterious [AND] rational [IMPLY] supportive [PERIOD]
fragile [AND] stupid [AND] homely [IMPLY] stubborn [PERIOD]
mysterious [AND] vivacious [IMPLY] horrible [PERIOD]
vivacious [IMPLY] mysterious [PERIOD]
stubborn [IMPLY] stupid [PERIOD]
vivacious [AND] gorgeous [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] tired [PERIOD]
horrible [IMPLY] tired [PERIOD]
vivacious [AND] horrible [AND] powerful [IMPLY] stupid [PERIOD]
rational [AND] homely [IMPLY] horrible [PERIOD]
gorgeous [AND] powerful [AND] horrible [IMPLY] mysterious [PERIOD]
horrible [AND] supportive [IMPLY] gorgeous [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   horrible ⇒ powerful
   horrible ⇒ supportive
   horrible ∧ supportive ⇒ gorgeous
   horrible ⇒ powerful
   gorgeous ∧ powerful ∧ horrible ⇒ mysterious
   mysterious ⇒ fragile
   powerful ∧ fragile ⇒ confused
",1,7
"Facts:  Alice is hurt [PERIOD] Alice is precious [PERIOD] Alice is innocent [PERIOD]
Rules:
foolish [AND] hurt [AND] tidy [IMPLY] difficult [PERIOD]
tidy [IMPLY] confident [PERIOD]
innocent [IMPLY] tidy [PERIOD]
hurt [IMPLY] difficult [PERIOD]
difficult [AND] inexpensive [AND] tidy [IMPLY] precious [PERIOD]
foolish [AND] difficult [AND] confident [IMPLY] tidy [PERIOD]
foolish [IMPLY] tidy [PERIOD]
difficult [AND] precious [IMPLY] innocent [PERIOD]
difficult [AND] tidy [AND] innocent [IMPLY] inexpensive [PERIOD]
foolish [IMPLY] difficult [PERIOD]
tired [IMPLY] foolish [PERIOD]
hurt [AND] tired [AND] difficult [IMPLY] confident [PERIOD]
precious [AND] confident [AND] tired [IMPLY] tidy [PERIOD]
innocent [AND] precious [IMPLY] hurt [PERIOD]
innocent [AND] difficult [AND] hurt [IMPLY] tidy [PERIOD]
tired [AND] difficult [IMPLY] foolish [PERIOD]
tired [IMPLY] confident [PERIOD]
tired [AND] foolish [AND] inexpensive [IMPLY] confident [PERIOD]
hurt [AND] inexpensive [AND] precious [IMPLY] foolish [PERIOD]
difficult [AND] tired [AND] precious [IMPLY] innocent [PERIOD]
tidy [AND] precious [AND] foolish [IMPLY] inexpensive [PERIOD]
tidy [AND] inexpensive [AND] hurt [IMPLY] foolish [PERIOD]
confident [AND] precious [IMPLY] inexpensive [PERIOD]
tired [AND] tidy [AND] confident [IMPLY] precious [PERIOD]
confident [IMPLY] inexpensive [PERIOD]
tired [AND] precious [AND] confident [IMPLY] inexpensive [PERIOD]
tidy [AND] precious [IMPLY] hurt [PERIOD]
tidy [AND] hurt [IMPLY] tired [PERIOD]
tidy [IMPLY] foolish [PERIOD]
precious [IMPLY] tired [PERIOD]
confident [AND] difficult [AND] hurt [IMPLY] precious [PERIOD]
innocent [AND] confident [IMPLY] tidy [PERIOD]
precious [AND] hurt [IMPLY] tidy [PERIOD]
inexpensive [AND] tired [AND] precious [IMPLY] hurt [PERIOD]
Query: Alice is confident [PERIOD]","Proof chain:
   innocent ⇒ tidy
   tidy ⇒ confident
",1,2
"Facts:  Alice is witty [PERIOD] Alice is careless [PERIOD] Alice is wrong [PERIOD] Alice is frightened [PERIOD] Alice is helpless [PERIOD] Alice is pessimistic [PERIOD]
Rules:
reserved [AND] pessimistic [IMPLY] witty [PERIOD]
reserved [IMPLY] pessimistic [PERIOD]
foolish [AND] stormy [AND] adorable [IMPLY] wrong [PERIOD]
helpless [AND] stormy [IMPLY] adorable [PERIOD]
frightened [AND] reserved [IMPLY] wrong [PERIOD]
reserved [IMPLY] helpless [PERIOD]
pessimistic [AND] frightened [AND] stormy [IMPLY] foolish [PERIOD]
pessimistic [AND] foolish [AND] frightened [IMPLY] helpless [PERIOD]
frightened [AND] helpless [IMPLY] reserved [PERIOD]
witty [IMPLY] foolish [PERIOD]
outstanding [AND] stormy [AND] careless [IMPLY] frightened [PERIOD]
reserved [AND] frightened [AND] pessimistic [IMPLY] wrong [PERIOD]
reserved [AND] witty [IMPLY] pessimistic [PERIOD]
reserved [AND] adorable [IMPLY] careless [PERIOD]
careless [IMPLY] helpless [PERIOD]
wrong [IMPLY] reserved [PERIOD]
foolish [AND] pessimistic [IMPLY] careless [PERIOD]
outstanding [AND] charming [AND] adorable [IMPLY] wrong [PERIOD]
frightened [AND] charming [AND] stormy [IMPLY] adorable [PERIOD]
charming [AND] stormy [IMPLY] pessimistic [PERIOD]
witty [IMPLY] adorable [PERIOD]
frightened [AND] witty [AND] careless [IMPLY] foolish [PERIOD]
adorable [IMPLY] frightened [PERIOD]
outstanding [AND] adorable [AND] careless [IMPLY] reserved [PERIOD]
careless [AND] outstanding [IMPLY] helpless [PERIOD]
outstanding [AND] charming [AND] careless [IMPLY] adorable [PERIOD]
foolish [AND] careless [IMPLY] outstanding [PERIOD]
careless [AND] frightened [IMPLY] helpless [PERIOD]
wrong [AND] careless [AND] charming [IMPLY] adorable [PERIOD]
wrong [IMPLY] frightened [PERIOD]
witty [AND] careless [AND] outstanding [IMPLY] stormy [PERIOD]
adorable [IMPLY] helpless [PERIOD]
reserved [AND] outstanding [IMPLY] pessimistic [PERIOD]
charming [IMPLY] outstanding [PERIOD]
adorable [AND] reserved [AND] frightened [IMPLY] witty [PERIOD]
pessimistic [AND] wrong [IMPLY] adorable [PERIOD]
pessimistic [AND] charming [AND] wrong [IMPLY] outstanding [PERIOD]
pessimistic [AND] stormy [AND] helpless [IMPLY] witty [PERIOD]
reserved [IMPLY] frightened [PERIOD]
outstanding [AND] pessimistic [AND] careless [IMPLY] witty [PERIOD]
pessimistic [IMPLY] wrong [PERIOD]
pessimistic [AND] foolish [AND] helpless [IMPLY] charming [PERIOD]
adorable [AND] pessimistic [IMPLY] foolish [PERIOD]
helpless [IMPLY] wrong [PERIOD]
frightened [AND] careless [IMPLY] reserved [PERIOD]
adorable [AND] reserved [IMPLY] frightened [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
   witty ⇒ foolish
   pessimistic ∧ foolish ∧ helpless ⇒ charming
",1,2
"Facts:  Alice is wide-eyed [PERIOD] Alice is straightforward [PERIOD] Alice is anxious [PERIOD] Alice is inexpensive [PERIOD] Alice is aggressive [PERIOD] Alice is diplomatic [PERIOD] Alice is smart [PERIOD] Alice is adorable [PERIOD]
Rules:
adorable [IMPLY] straightforward [PERIOD]
anxious [AND] charming [IMPLY] bossy [PERIOD]
lucky [AND] gifted [AND] hypocritical [IMPLY] adorable [PERIOD]
inexpensive [AND] smart [AND] worried [IMPLY] silly [PERIOD]
hypocritical [AND] combative [IMPLY] anxious [PERIOD]
silly [AND] vivacious [AND] straightforward [IMPLY] lucky [PERIOD]
worried [AND] adorable [IMPLY] inexpensive [PERIOD]
lucky [IMPLY] selfish [PERIOD]
gifted [IMPLY] silly [PERIOD]
anxious [AND] hypocritical [IMPLY] bossy [PERIOD]
anxious [AND] vivacious [IMPLY] adorable [PERIOD]
anxious [IMPLY] selfish [PERIOD]
anxious [AND] aggressive [AND] straightforward [IMPLY] wide-eyed [PERIOD]
straightforward [IMPLY] difficult [PERIOD]
Query: Alice is combative [PERIOD]","Proof chain:
   No rule concludes “combative.”
",0,1
"Facts:  Alice is gifted [PERIOD] Alice is vivacious [PERIOD]
Rules:
vivacious [AND] clean [AND] calm [IMPLY] hurt [PERIOD]
jittery [IMPLY] gorgeous [PERIOD]
gifted [AND] gorgeous [AND] fragile [IMPLY] clean [PERIOD]
exuberant [AND] clean [IMPLY] fragile [PERIOD]
clean [AND] fragile [IMPLY] hurt [PERIOD]
clean [IMPLY] jittery [PERIOD]
gorgeous [AND] jittery [AND] exuberant [IMPLY] gifted [PERIOD]
exuberant [AND] clean [IMPLY] calm [PERIOD]
jittery [AND] calm [AND] clean [IMPLY] hurt [PERIOD]
careless [IMPLY] gorgeous [PERIOD]
fragile [AND] jittery [AND] careless [IMPLY] clean [PERIOD]
exuberant [AND] gorgeous [AND] careless [IMPLY] clean [PERIOD]
clean [AND] fragile [IMPLY] exuberant [PERIOD]
gifted [AND] fragile [AND] clean [IMPLY] hurt [PERIOD]
vivacious [AND] careless [IMPLY] gifted [PERIOD]
clean [AND] exuberant [IMPLY] jittery [PERIOD]
fragile [AND] hurt [IMPLY] jittery [PERIOD]
hurt [AND] fragile [AND] gifted [IMPLY] jittery [PERIOD]
careless [AND] vivacious [AND] clean [IMPLY] calm [PERIOD]
gifted [AND] gorgeous [AND] careless [IMPLY] vivacious [PERIOD]
fragile [IMPLY] careless [PERIOD]
gorgeous [AND] exuberant [AND] vivacious [IMPLY] clean [PERIOD]
gifted [AND] jittery [IMPLY] careless [PERIOD]
gifted [AND] careless [AND] hurt [IMPLY] exuberant [PERIOD]
calm [AND] clean [IMPLY] jittery [PERIOD]
careless [IMPLY] calm [PERIOD]
clean [AND] exuberant [AND] gifted [IMPLY] gorgeous [PERIOD]
calm [IMPLY] gorgeous [PERIOD]
calm [AND] hurt [AND] fragile [IMPLY] gifted [PERIOD]
jittery [AND] gorgeous [IMPLY] vivacious [PERIOD]
exuberant [IMPLY] fragile [PERIOD]
calm [AND] careless [AND] gorgeous [IMPLY] hurt [PERIOD]
clean [AND] jittery [IMPLY] vivacious [PERIOD]
careless [AND] calm [IMPLY] gorgeous [PERIOD]
clean [IMPLY] exuberant [PERIOD]
calm [AND] clean [IMPLY] gifted [PERIOD]
vivacious [IMPLY] gifted [PERIOD]
exuberant [IMPLY] vivacious [PERIOD]
exuberant [AND] careless [IMPLY] fragile [PERIOD]
Query: Alice is gifted [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is victorious [PERIOD]
Rules:
clumsy [AND] selfish [IMPLY] scared [PERIOD]
fragile [AND] sleepy [IMPLY] selfish [PERIOD]
sleepy [AND] clumsy [AND] scared [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] alert [PERIOD]
alert [IMPLY] scared [PERIOD]
selfish [AND] sleepy [IMPLY] alert [PERIOD]
scared [AND] wide-eyed [IMPLY] fragile [PERIOD]
clumsy [IMPLY] impatient [PERIOD]
scared [AND] clumsy [IMPLY] sleepy [PERIOD]
alert [IMPLY] sleepy [PERIOD]
clumsy [AND] fragile [IMPLY] selfish [PERIOD]
alert [IMPLY] wide-eyed [PERIOD]
comfortable [AND] fragile [IMPLY] selfish [PERIOD]
sleepy [IMPLY] wide-eyed [PERIOD]
fragile [IMPLY] selfish [PERIOD]
scared [IMPLY] impatient [PERIOD]
clumsy [AND] scared [AND] wide-eyed [IMPLY] selfish [PERIOD]
scared [AND] alert [AND] selfish [IMPLY] impatient [PERIOD]
sleepy [AND] victorious [AND] wide-eyed [IMPLY] impatient [PERIOD]
clumsy [AND] fragile [IMPLY] comfortable [PERIOD]
alert [IMPLY] fragile [PERIOD]
clumsy [AND] alert [AND] fragile [IMPLY] sleepy [PERIOD]
comfortable [IMPLY] alert [PERIOD]
victorious [AND] wide-eyed [AND] clumsy [IMPLY] scared [PERIOD]
victorious [AND] scared [AND] impatient [IMPLY] selfish [PERIOD]
scared [AND] clumsy [AND] fragile [IMPLY] sleepy [PERIOD]
comfortable [IMPLY] victorious [PERIOD]
comfortable [AND] fragile [IMPLY] scared [PERIOD]
impatient [AND] fragile [IMPLY] selfish [PERIOD]
fragile [IMPLY] wide-eyed [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   Cannot apply rule “clumsy ⇒ impatient” because missing: clumsy.
   Cannot apply rule “scared ⇒ impatient” because missing: scared.
   Cannot apply rule “scared ∧ alert ∧ selfish ⇒ impatient” because missing: scared, alert, selfish.
   Cannot apply rule “sleepy ∧ victorious ∧ wide-eyed ⇒ impatient” because missing: sleepy, wide-eyed.
",0,4
"Facts: 
Rules:
frail [IMPLY] impatient [PERIOD]
frail [AND] helpless [AND] condemned [IMPLY] naughty [PERIOD]
helpless [AND] naughty [AND] agreeable [IMPLY] condemned [PERIOD]
impatient [IMPLY] naughty [PERIOD]
frail [AND] agreeable [IMPLY] naughty [PERIOD]
agreeable [AND] impatient [IMPLY] helpless [PERIOD]
condemned [AND] frail [AND] helpless [IMPLY] agreeable [PERIOD]
impatient [AND] condemned [AND] helpless [IMPLY] naughty [PERIOD]
impatient [AND] helpless [AND] agreeable [IMPLY] frail [PERIOD]
agreeable [AND] condemned [IMPLY] helpless [PERIOD]
condemned [IMPLY] helpless [PERIOD]
naughty [AND] impatient [IMPLY] helpless [PERIOD]
naughty [AND] agreeable [IMPLY] condemned [PERIOD]
agreeable [IMPLY] condemned [PERIOD]
agreeable [IMPLY] impatient [PERIOD]
impatient [AND] naughty [IMPLY] frail [PERIOD]
agreeable [AND] naughty [IMPLY] helpless [PERIOD]
naughty [IMPLY] frail [PERIOD]
impatient [AND] naughty [IMPLY] condemned [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   Cannot apply rule “frail ∧ helpless ∧ condemned ⇒ naughty” because missing: frail, helpless, condemned.
   Cannot apply rule “impatient ⇒ naughty” because missing: impatient.
   Cannot apply rule “frail ∧ agreeable ⇒ naughty” because missing: frail, agreeable.
   Cannot apply rule “impatient ∧ condemned ∧ helpless ⇒ naughty” because missing: impatient, condemned, helpless.
",0,4
"Facts: 
Rules:
mean [AND] busy [IMPLY] mysterious [PERIOD]
busy [AND] worrisome [IMPLY] tense [PERIOD]
gleaming [IMPLY] perfect [PERIOD]
fearless [AND] perfect [AND] dull [IMPLY] uptight [PERIOD]
fearless [IMPLY] beautiful [PERIOD]
tender [AND] fearless [IMPLY] sleepy [PERIOD]
cooperative [AND] thoughtful [AND] tense [IMPLY] wide-eyed [PERIOD]
dull [AND] thoughtful [IMPLY] tense [PERIOD]
thoughtful [AND] tense [IMPLY] beautiful [PERIOD]
tender [IMPLY] cooperative [PERIOD]
cooperative [AND] sleepy [IMPLY] worrisome [PERIOD]
fearless [AND] wide-eyed [IMPLY] mysterious [PERIOD]
perfect [AND] tender [IMPLY] worrisome [PERIOD]
busy [AND] wide-eyed [IMPLY] mysterious [PERIOD]
dull [AND] perfect [IMPLY] sleepy [PERIOD]
wide-eyed [AND] sleepy [IMPLY] gleaming [PERIOD]
wide-eyed [AND] sleepy [AND] beautiful [IMPLY] fearless [PERIOD]
fearless [IMPLY] sleepy [PERIOD]
gleaming [AND] fearless [AND] bored [IMPLY] wide-eyed [PERIOD]
beautiful [AND] sleepy [IMPLY] bored [PERIOD]
cooperative [IMPLY] wide-eyed [PERIOD]
tender [AND] worrisome [AND] tense [IMPLY] thoughtful [PERIOD]
perfect [AND] fearless [IMPLY] wide-eyed [PERIOD]
uptight [IMPLY] tense [PERIOD]
mean [IMPLY] mysterious [PERIOD]
worrisome [AND] cooperative [IMPLY] dull [PERIOD]
fearless [AND] dull [IMPLY] uptight [PERIOD]
cooperative [AND] tender [AND] bored [IMPLY] thoughtful [PERIOD]
bad-tempered [AND] busy [AND] tense [IMPLY] wide-eyed [PERIOD]
fearless [IMPLY] wide-eyed [PERIOD]
tense [AND] thoughtful [AND] dull [IMPLY] mean [PERIOD]
sleepy [AND] cooperative [IMPLY] busy [PERIOD]
thoughtful [AND] wide-eyed [IMPLY] cooperative [PERIOD]
thoughtful [IMPLY] busy [PERIOD]
bad-tempered [AND] fearless [IMPLY] uptight [PERIOD]
mean [AND] worrisome [IMPLY] uptight [PERIOD]
mean [IMPLY] sleepy [PERIOD]
perfect [AND] mysterious [IMPLY] cooperative [PERIOD]
bored [AND] cooperative [IMPLY] thoughtful [PERIOD]
fearless [AND] wide-eyed [AND] bad-tempered [IMPLY] dull [PERIOD]
mean [AND] dull [IMPLY] thoughtful [PERIOD]
tense [AND] beautiful [AND] thoughtful [IMPLY] mean [PERIOD]
bad-tempered [AND] perfect [IMPLY] mean [PERIOD]
busy [AND] beautiful [IMPLY] mean [PERIOD]
bad-tempered [AND] fearless [AND] sleepy [IMPLY] thoughtful [PERIOD]
sleepy [IMPLY] mean [PERIOD]
perfect [AND] bad-tempered [AND] bored [IMPLY] tender [PERIOD]
mysterious [AND] perfect [AND] sleepy [IMPLY] dull [PERIOD]
tense [AND] uptight [AND] sleepy [IMPLY] perfect [PERIOD]
uptight [AND] perfect [AND] thoughtful [IMPLY] bad-tempered [PERIOD]
worrisome [AND] cooperative [AND] thoughtful [IMPLY] wide-eyed [PERIOD]
mysterious [AND] fearless [IMPLY] tense [PERIOD]
worrisome [IMPLY] mean [PERIOD]
sleepy [AND] fearless [AND] perfect [IMPLY] tense [PERIOD]
uptight [IMPLY] cooperative [PERIOD]
bad-tempered [IMPLY] sleepy [PERIOD]
tender [AND] bored [IMPLY] busy [PERIOD]
worrisome [AND] bad-tempered [AND] mean [IMPLY] beautiful [PERIOD]
mean [AND] cooperative [IMPLY] beautiful [PERIOD]
thoughtful [IMPLY] beautiful [PERIOD]
uptight [IMPLY] dull [PERIOD]
bad-tempered [AND] mean [AND] uptight [IMPLY] fearless [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   Cannot apply rule “cooperative ∧ thoughtful ∧ tense ⇒ wide-eyed” because missing: cooperative, thoughtful, tense.
   Cannot apply rule “gleaming ∧ fearless ∧ bored ⇒ wide-eyed” because missing: gleaming, fearless, bored.
   Cannot apply rule “cooperative ⇒ wide-eyed” because missing: cooperative.
   Cannot apply rule “perfect ∧ fearless ⇒ wide-eyed” because missing: perfect, fearless.
   Cannot apply rule “bad-tempered ∧ busy ∧ tense ⇒ wide-eyed” because missing: bad-tempered, busy, tense.
   Cannot apply rule “fearless ⇒ wide-eyed” because missing: fearless.
   Cannot apply rule “worrisome ∧ cooperative ∧ thoughtful ⇒ wide-eyed” because missing: worrisome, cooperative, thoughtful.
",0,7
"Facts:  Alice is versatile [PERIOD] Alice is broad-minded [PERIOD] Alice is easy [PERIOD]
Rules:
versatile [AND] impatient [IMPLY] homely [PERIOD]
confident [AND] impatient [IMPLY] tidy [PERIOD]
talented [AND] tidy [AND] horrible [IMPLY] broad-minded [PERIOD]
confident [AND] blushing [AND] versatile [IMPLY] easy [PERIOD]
talented [IMPLY] impatient [PERIOD]
broad-minded [AND] blushing [AND] tidy [IMPLY] horrible [PERIOD]
confident [AND] blushing [IMPLY] smart [PERIOD]
easy [IMPLY] tidy [PERIOD]
lonely [AND] broad-minded [AND] impatient [IMPLY] frightened [PERIOD]
lonely [AND] talented [AND] broad-minded [IMPLY] impatient [PERIOD]
versatile [IMPLY] easy [PERIOD]
lonely [AND] impatient [AND] frightened [IMPLY] smart [PERIOD]
homely [AND] tidy [AND] impatient [IMPLY] talented [PERIOD]
horrible [AND] easy [IMPLY] confident [PERIOD]
broad-minded [AND] lonely [AND] homely [IMPLY] versatile [PERIOD]
horrible [AND] blushing [AND] confident [IMPLY] talented [PERIOD]
lonely [AND] broad-minded [AND] tidy [IMPLY] talented [PERIOD]
talented [AND] versatile [IMPLY] tidy [PERIOD]
smart [AND] horrible [IMPLY] lonely [PERIOD]
smart [IMPLY] bright [PERIOD]
bright [AND] tidy [AND] smart [IMPLY] easy [PERIOD]
impatient [AND] horrible [AND] confident [IMPLY] versatile [PERIOD]
versatile [AND] tidy [IMPLY] blushing [PERIOD]
talented [IMPLY] bright [PERIOD]
bright [IMPLY] blushing [PERIOD]
versatile [AND] easy [AND] broad-minded [IMPLY] homely [PERIOD]
broad-minded [AND] impatient [IMPLY] horrible [PERIOD]
lonely [AND] confident [AND] talented [IMPLY] tidy [PERIOD]
horrible [AND] tidy [IMPLY] bright [PERIOD]
impatient [AND] easy [AND] broad-minded [IMPLY] confident [PERIOD]
tidy [AND] frightened [IMPLY] confident [PERIOD]
frightened [AND] horrible [AND] lonely [IMPLY] broad-minded [PERIOD]
homely [AND] broad-minded [AND] bright [IMPLY] smart [PERIOD]
smart [AND] confident [IMPLY] homely [PERIOD]
easy [AND] blushing [AND] bright [IMPLY] lonely [PERIOD]
blushing [AND] bright [IMPLY] lonely [PERIOD]
bright [IMPLY] confident [PERIOD]
frightened [AND] easy [AND] lonely [IMPLY] homely [PERIOD]
homely [AND] bright [AND] blushing [IMPLY] smart [PERIOD]
talented [AND] bright [AND] impatient [IMPLY] easy [PERIOD]
lonely [AND] frightened [AND] tidy [IMPLY] impatient [PERIOD]
confident [AND] bright [IMPLY] broad-minded [PERIOD]
talented [AND] bright [AND] horrible [IMPLY] smart [PERIOD]
homely [AND] impatient [IMPLY] smart [PERIOD]
confident [AND] bright [IMPLY] talented [PERIOD]
frightened [IMPLY] homely [PERIOD]
Query: Alice is versatile [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
nervous [AND] elated [AND] elegant [IMPLY] tender [PERIOD]
stupid [AND] curious [IMPLY] old-fashioned [PERIOD]
curious [AND] talented [AND] elegant [IMPLY] perfect [PERIOD]
rational [IMPLY] old-fashioned [PERIOD]
impartial [AND] curious [AND] elated [IMPLY] polite [PERIOD]
famous [IMPLY] old-fashioned [PERIOD]
crowded [IMPLY] famous [PERIOD]
nervous [AND] rational [AND] hilarious [IMPLY] perfect [PERIOD]
talented [AND] perfect [IMPLY] tender [PERIOD]
impartial [AND] tender [IMPLY] talented [PERIOD]
rational [AND] elegant [AND] perfect [IMPLY] jittery [PERIOD]
old-fashioned [IMPLY] jittery [PERIOD]
famous [AND] elated [AND] elegant [IMPLY] talented [PERIOD]
elegant [AND] jittery [IMPLY] stupid [PERIOD]
impartial [AND] stupid [AND] hilarious [IMPLY] old-fashioned [PERIOD]
nervous [IMPLY] old-fashioned [PERIOD]
impartial [AND] jittery [IMPLY] nervous [PERIOD]
elated [AND] perfect [AND] impartial [IMPLY] hilarious [PERIOD]
talented [AND] stupid [IMPLY] rational [PERIOD]
perfect [AND] jittery [IMPLY] hilarious [PERIOD]
jittery [AND] impartial [IMPLY] elated [PERIOD]
elegant [AND] tender [AND] crowded [IMPLY] nervous [PERIOD]
rational [IMPLY] elated [PERIOD]
elegant [IMPLY] crowded [PERIOD]
impartial [IMPLY] nervous [PERIOD]
crowded [AND] hilarious [AND] famous [IMPLY] impartial [PERIOD]
hilarious [AND] jittery [IMPLY] crowded [PERIOD]
polite [IMPLY] old-fashioned [PERIOD]
tender [AND] stupid [IMPLY] talented [PERIOD]
polite [AND] nervous [IMPLY] elated [PERIOD]
elated [IMPLY] stupid [PERIOD]
stupid [AND] elegant [AND] impartial [IMPLY] curious [PERIOD]
perfect [IMPLY] elegant [PERIOD]
old-fashioned [AND] polite [IMPLY] tender [PERIOD]
tender [AND] stupid [AND] jittery [IMPLY] impartial [PERIOD]
hilarious [AND] elegant [AND] old-fashioned [IMPLY] polite [PERIOD]
elegant [AND] stupid [IMPLY] nervous [PERIOD]
nervous [AND] old-fashioned [AND] rational [IMPLY] elated [PERIOD]
elated [AND] hilarious [IMPLY] tender [PERIOD]
crowded [AND] hilarious [IMPLY] elated [PERIOD]
elegant [AND] curious [IMPLY] talented [PERIOD]
elated [AND] crowded [AND] famous [IMPLY] perfect [PERIOD]
impartial [AND] perfect [AND] elated [IMPLY] old-fashioned [PERIOD]
impartial [AND] perfect [IMPLY] crowded [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   Cannot apply rule “jittery ∧ impartial ⇒ elated” because missing: jittery, impartial.
   Cannot apply rule “rational ⇒ elated” because missing: rational.
   Cannot apply rule “polite ∧ nervous ⇒ elated” because missing: polite, nervous.
   Cannot apply rule “nervous ∧ old-fashioned ∧ rational ⇒ elated” because missing: nervous, old-fashioned, rational.
   Cannot apply rule “crowded ∧ hilarious ⇒ elated” because missing: crowded, hilarious.
",0,5
"Facts:  Alice is elated [PERIOD] Alice is modern [PERIOD] Alice is distinct [PERIOD] Alice is worried [PERIOD]
Rules:
elated [AND] talented [AND] impartial [IMPLY] courageous [PERIOD]
distinct [IMPLY] talented [PERIOD]
clean [IMPLY] elated [PERIOD]
tired [AND] worried [IMPLY] elated [PERIOD]
ugly [AND] talented [IMPLY] spotless [PERIOD]
impartial [AND] tired [AND] talented [IMPLY] elated [PERIOD]
impartial [AND] strange [AND] distinct [IMPLY] clean [PERIOD]
spotless [AND] impartial [IMPLY] modern [PERIOD]
hilarious [AND] strange [IMPLY] courageous [PERIOD]
courageous [AND] hilarious [AND] wandering [IMPLY] distinct [PERIOD]
talented [AND] strange [AND] modern [IMPLY] wandering [PERIOD]
distinct [IMPLY] elated [PERIOD]
tired [AND] clean [AND] distinct [IMPLY] hilarious [PERIOD]
strange [AND] ugly [IMPLY] spotless [PERIOD]
wandering [AND] worried [IMPLY] weary [PERIOD]
spotless [AND] distinct [IMPLY] modern [PERIOD]
impartial [AND] tired [IMPLY] spotless [PERIOD]
ugly [AND] elated [IMPLY] distinct [PERIOD]
modern [IMPLY] elated [PERIOD]
elated [AND] impartial [AND] worried [IMPLY] weary [PERIOD]
distinct [AND] weary [IMPLY] modern [PERIOD]
spotless [IMPLY] courageous [PERIOD]
modern [AND] wandering [IMPLY] clean [PERIOD]
tired [IMPLY] spotless [PERIOD]
wandering [AND] hilarious [AND] clean [IMPLY] talented [PERIOD]
hilarious [IMPLY] courageous [PERIOD]
ugly [AND] courageous [IMPLY] strange [PERIOD]
talented [AND] strange [AND] weary [IMPLY] distinct [PERIOD]
talented [AND] clean [IMPLY] spotless [PERIOD]
distinct [AND] clean [AND] talented [IMPLY] elated [PERIOD]
clean [IMPLY] ugly [PERIOD]
hilarious [IMPLY] impartial [PERIOD]
spotless [IMPLY] clean [PERIOD]
courageous [AND] ugly [IMPLY] clean [PERIOD]
impartial [AND] talented [AND] spotless [IMPLY] clean [PERIOD]
courageous [IMPLY] impartial [PERIOD]
tired [IMPLY] strange [PERIOD]
worried [AND] wandering [IMPLY] tired [PERIOD]
impartial [IMPLY] spotless [PERIOD]
hilarious [AND] modern [IMPLY] impartial [PERIOD]
talented [IMPLY] modern [PERIOD]
elated [AND] ugly [AND] weary [IMPLY] wandering [PERIOD]
hilarious [AND] courageous [IMPLY] clean [PERIOD]
hilarious [IMPLY] elated [PERIOD]
impartial [AND] spotless [IMPLY] ugly [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   Cannot apply rule “tired ∧ clean ∧ distinct ⇒ hilarious” because missing: tired, clean.
",0,1
"Facts:  Alice is ugly [PERIOD] Alice is homely [PERIOD]
Rules:
cute [AND] muddy [AND] sleepy [IMPLY] cooperative [PERIOD]
dull [AND] diplomatic [IMPLY] bossy [PERIOD]
sleepy [IMPLY] jittery [PERIOD]
dull [IMPLY] silly [PERIOD]
embarrassed [AND] lonely [AND] dishonest [IMPLY] ambitious [PERIOD]
homely [AND] dishonest [IMPLY] sleepy [PERIOD]
helpful [AND] unpleasant [IMPLY] cute [PERIOD]
charming [AND] tidy [AND] helpful [IMPLY] dishonest [PERIOD]
excited [AND] diplomatic [IMPLY] weary [PERIOD]
excited [AND] muddy [AND] cooperative [IMPLY] embarrassed [PERIOD]
homely [IMPLY] fragile [PERIOD]
wandering [IMPLY] lonely [PERIOD]
impartial [AND] muddy [IMPLY] strange [PERIOD]
powerful [IMPLY] tidy [PERIOD]
silly [IMPLY] helpful [PERIOD]
cooperative [IMPLY] perfect [PERIOD]
loving [AND] homely [IMPLY] weary [PERIOD]
fragile [AND] loving [AND] wandering [IMPLY] homely [PERIOD]
perfect [AND] unpleasant [AND] silly [IMPLY] homely [PERIOD]
weary [IMPLY] homely [PERIOD]
weary [AND] powerful [AND] perfect [IMPLY] dull [PERIOD]
bossy [IMPLY] outstanding [PERIOD]
ambitious [AND] cute [IMPLY] powerful [PERIOD]
embarrassed [AND] outstanding [AND] muddy [IMPLY] wandering [PERIOD]
outstanding [IMPLY] spotless [PERIOD]
fragile [AND] impartial [IMPLY] charming [PERIOD]
unpleasant [IMPLY] ambitious [PERIOD]
ugly [AND] tidy [IMPLY] strange [PERIOD]
tidy [IMPLY] dull [PERIOD]
outstanding [AND] impartial [IMPLY] spotless [PERIOD]
dishonest [AND] cooperative [AND] lonely [IMPLY] ugly [PERIOD]
dishonest [AND] diplomatic [IMPLY] outstanding [PERIOD]
bossy [AND] diplomatic [AND] excited [IMPLY] helpful [PERIOD]
diplomatic [AND] dishonest [IMPLY] cute [PERIOD]
charming [AND] lonely [AND] muddy [IMPLY] ugly [PERIOD]
bossy [IMPLY] cute [PERIOD]
perfect [AND] jittery [AND] silly [IMPLY] tidy [PERIOD]
impartial [AND] bossy [AND] strange [IMPLY] fragile [PERIOD]
dishonest [AND] outstanding [AND] excited [IMPLY] charming [PERIOD]
ambitious [AND] cute [AND] strange [IMPLY] jittery [PERIOD]
loving [AND] cute [IMPLY] dishonest [PERIOD]
silly [AND] perfect [AND] helpful [IMPLY] tidy [PERIOD]
lonely [AND] helpful [IMPLY] wandering [PERIOD]
outstanding [IMPLY] diplomatic [PERIOD]
powerful [AND] sleepy [IMPLY] lonely [PERIOD]
unpleasant [AND] impartial [IMPLY] silly [PERIOD]
ugly [AND] dishonest [IMPLY] loving [PERIOD]
outstanding [IMPLY] excited [PERIOD]
tidy [AND] loving [IMPLY] powerful [PERIOD]
helpful [AND] wandering [AND] perfect [IMPLY] weary [PERIOD]
excited [AND] spotless [IMPLY] cute [PERIOD]
tidy [AND] muddy [IMPLY] cute [PERIOD]
tidy [IMPLY] ambitious [PERIOD]
excited [IMPLY] silly [PERIOD]
tidy [AND] jittery [IMPLY] helpful [PERIOD]
diplomatic [AND] charming [IMPLY] dishonest [PERIOD]
charming [AND] bossy [AND] excited [IMPLY] dull [PERIOD]
spotless [AND] tidy [AND] outstanding [IMPLY] bossy [PERIOD]
silly [AND] excited [IMPLY] cooperative [PERIOD]
unpleasant [IMPLY] bossy [PERIOD]
sleepy [AND] unpleasant [IMPLY] helpful [PERIOD]
powerful [AND] helpful [IMPLY] bossy [PERIOD]
dull [AND] dishonest [AND] charming [IMPLY] ambitious [PERIOD]
homely [AND] impartial [IMPLY] bossy [PERIOD]
impartial [AND] lonely [IMPLY] powerful [PERIOD]
outstanding [AND] embarrassed [IMPLY] impartial [PERIOD]
ambitious [IMPLY] dull [PERIOD]
jittery [AND] outstanding [IMPLY] silly [PERIOD]
weary [AND] perfect [AND] outstanding [IMPLY] dishonest [PERIOD]
ugly [AND] embarrassed [AND] strange [IMPLY] tidy [PERIOD]
jittery [IMPLY] muddy [PERIOD]
strange [IMPLY] ugly [PERIOD]
cooperative [AND] impartial [AND] muddy [IMPLY] wandering [PERIOD]
embarrassed [IMPLY] weary [PERIOD]
impartial [IMPLY] silly [PERIOD]
excited [IMPLY] dull [PERIOD]
unpleasant [IMPLY] charming [PERIOD]
embarrassed [IMPLY] cooperative [PERIOD]
lonely [AND] embarrassed [AND] impartial [IMPLY] excited [PERIOD]
excited [IMPLY] fragile [PERIOD]
lonely [AND] loving [AND] dishonest [IMPLY] tidy [PERIOD]
perfect [IMPLY] strange [PERIOD]
unpleasant [IMPLY] helpful [PERIOD]
powerful [IMPLY] excited [PERIOD]
powerful [AND] loving [AND] dull [IMPLY] perfect [PERIOD]
wandering [IMPLY] cute [PERIOD]
strange [AND] wandering [AND] homely [IMPLY] impartial [PERIOD]
fragile [AND] sleepy [IMPLY] muddy [PERIOD]
outstanding [IMPLY] dishonest [PERIOD]
embarrassed [IMPLY] perfect [PERIOD]
homely [AND] muddy [AND] jittery [IMPLY] diplomatic [PERIOD]
bossy [IMPLY] muddy [PERIOD]
lonely [IMPLY] weary [PERIOD]
weary [AND] ugly [IMPLY] bossy [PERIOD]
outstanding [AND] homely [IMPLY] ugly [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   Cannot apply rule “dull ∧ diplomatic ⇒ bossy” because missing: dull, diplomatic.
   Cannot apply rule “spotless ∧ tidy ∧ outstanding ⇒ bossy” because missing: spotless, tidy, outstanding.
   Cannot apply rule “unpleasant ⇒ bossy” because missing: unpleasant.
   Cannot apply rule “powerful ∧ helpful ⇒ bossy” because missing: powerful, helpful.
   Cannot apply rule “homely ∧ impartial ⇒ bossy” because missing: impartial.
   Cannot apply rule “weary ∧ ugly ⇒ bossy” because missing: weary.
",0,6
"Facts:  Alice is mean [PERIOD] Alice is cute [PERIOD] Alice is glamorous [PERIOD] Alice is inexpensive [PERIOD] Alice is courageous [PERIOD] Alice is agreeable [PERIOD] Alice is hypocritical [PERIOD] Alice is hilarious [PERIOD] Alice is fearless [PERIOD] Alice is spotless [PERIOD] Alice is bored [PERIOD] Alice is light [PERIOD] Alice is wrong [PERIOD]
Rules:
courageous [IMPLY] enchanting [PERIOD]
glamorous [AND] light [AND] wrong [IMPLY] hypocritical [PERIOD]
wide-eyed [IMPLY] unpleasant [PERIOD]
sincere [AND] clumsy [AND] charming [IMPLY] cute [PERIOD]
inexpensive [AND] powerful [IMPLY] intellectual [PERIOD]
inexpensive [IMPLY] wrong [PERIOD]
hypocritical [IMPLY] courageous [PERIOD]
inexpensive [IMPLY] easy [PERIOD]
glamorous [IMPLY] wide-eyed [PERIOD]
intellectual [AND] unpleasant [IMPLY] clumsy [PERIOD]
unpleasant [IMPLY] hilarious [PERIOD]
easy [AND] intellectual [AND] long [IMPLY] selfish [PERIOD]
horrible [AND] powerful [IMPLY] glamorous [PERIOD]
fearless [AND] sincere [AND] wandering [IMPLY] intellectual [PERIOD]
unpleasant [AND] clumsy [AND] confused [IMPLY] hilarious [PERIOD]
cruel [AND] agreeable [AND] hilarious [IMPLY] clumsy [PERIOD]
hypocritical [IMPLY] wandering [PERIOD]
glamorous [IMPLY] cruel [PERIOD]
spotless [AND] fearless [AND] intellectual [IMPLY] worried [PERIOD]
inexpensive [IMPLY] sincere [PERIOD]
glamorous [AND] clean [AND] selfish [IMPLY] easy [PERIOD]
unpleasant [IMPLY] light [PERIOD]
cute [AND] wide-eyed [AND] hilarious [IMPLY] sincere [PERIOD]
agreeable [AND] powerful [AND] glamorous [IMPLY] enchanting [PERIOD]
charming [IMPLY] selfish [PERIOD]
easy [AND] selfish [IMPLY] enchanting [PERIOD]
confused [AND] clumsy [AND] inexpensive [IMPLY] fearless [PERIOD]
cruel [AND] hypocritical [AND] sincere [IMPLY] mean [PERIOD]
intellectual [IMPLY] cruel [PERIOD]
worried [AND] easy [AND] horrible [IMPLY] hypocritical [PERIOD]
Query: Alice is clumsy [PERIOD]","Proof chain:
   glamorous ⇒ cruel
   cruel ∧ agreeable ∧ hilarious ⇒ clumsy
",1,2
"Facts:  Alice is bored [PERIOD] Alice is cute [PERIOD] Alice is zealous [PERIOD] Alice is cooperative [PERIOD] Alice is modern [PERIOD] Alice is broad-minded [PERIOD] Alice is easy [PERIOD] Alice is outrageous [PERIOD] Alice is serious [PERIOD]
Rules:
tame [AND] confused [IMPLY] stubborn [PERIOD]
vivacious [AND] long [IMPLY] confused [PERIOD]
homely [IMPLY] lucky [PERIOD]
diplomatic [AND] broad-minded [IMPLY] serious [PERIOD]
diplomatic [AND] zealous [AND] fancy [IMPLY] reserved [PERIOD]
precious [AND] old-fashioned [IMPLY] cute [PERIOD]
tame [AND] modern [IMPLY] homely [PERIOD]
bored [IMPLY] tame [PERIOD]
dishonest [IMPLY] anxious [PERIOD]
homely [IMPLY] vivacious [PERIOD]
busy [IMPLY] vivacious [PERIOD]
ugly [AND] old-fashioned [IMPLY] cute [PERIOD]
worried [AND] old-fashioned [AND] lucky [IMPLY] reserved [PERIOD]
serious [AND] vivacious [AND] reserved [IMPLY] lucky [PERIOD]
easy [AND] bored [IMPLY] zealous [PERIOD]
cute [AND] inexpensive [AND] ugly [IMPLY] homely [PERIOD]
busy [AND] diplomatic [AND] outrageous [IMPLY] modern [PERIOD]
inexpensive [AND] busy [IMPLY] dishonest [PERIOD]
ugly [IMPLY] diplomatic [PERIOD]
serious [AND] ugly [AND] cute [IMPLY] bored [PERIOD]
plain [AND] vivacious [AND] diplomatic [IMPLY] reserved [PERIOD]
old-fashioned [AND] anxious [AND] cute [IMPLY] fancy [PERIOD]
outrageous [AND] diplomatic [AND] plain [IMPLY] stubborn [PERIOD]
lucky [AND] homely [IMPLY] cute [PERIOD]
fancy [AND] anxious [IMPLY] stubborn [PERIOD]
long [AND] cute [AND] ugly [IMPLY] serious [PERIOD]
thoughtless [IMPLY] plain [PERIOD]
anxious [AND] zealous [AND] sincere [IMPLY] worried [PERIOD]
fancy [AND] plain [AND] reserved [IMPLY] outrageous [PERIOD]
stubborn [AND] zealous [AND] long [IMPLY] confused [PERIOD]
homely [IMPLY] zealous [PERIOD]
serious [AND] cute [IMPLY] sincere [PERIOD]
modern [IMPLY] dishonest [PERIOD]
thoughtless [AND] lucky [AND] precious [IMPLY] worried [PERIOD]
inexpensive [AND] fancy [AND] plain [IMPLY] anxious [PERIOD]
tame [AND] anxious [AND] zealous [IMPLY] inexpensive [PERIOD]
cooperative [AND] homely [IMPLY] plain [PERIOD]
diplomatic [IMPLY] modern [PERIOD]
long [IMPLY] thoughtless [PERIOD]
fancy [AND] dishonest [AND] precious [IMPLY] serious [PERIOD]
thoughtless [IMPLY] fancy [PERIOD]
confused [AND] plain [AND] dishonest [IMPLY] precious [PERIOD]
easy [AND] thoughtless [AND] stubborn [IMPLY] lucky [PERIOD]
fancy [AND] busy [AND] vivacious [IMPLY] worried [PERIOD]
sincere [AND] lucky [AND] modern [IMPLY] bored [PERIOD]
precious [AND] zealous [AND] lucky [IMPLY] cooperative [PERIOD]
cute [AND] homely [AND] lucky [IMPLY] vivacious [PERIOD]
plain [IMPLY] cooperative [PERIOD]
vivacious [IMPLY] tame [PERIOD]
thoughtless [AND] homely [IMPLY] tame [PERIOD]
modern [AND] anxious [IMPLY] tame [PERIOD]
fancy [AND] confused [AND] homely [IMPLY] plain [PERIOD]
lucky [AND] vivacious [AND] dishonest [IMPLY] homely [PERIOD]
confused [AND] easy [AND] zealous [IMPLY] cooperative [PERIOD]
serious [AND] outrageous [IMPLY] anxious [PERIOD]
easy [AND] stubborn [IMPLY] fancy [PERIOD]
cute [IMPLY] bored [PERIOD]
easy [IMPLY] cooperative [PERIOD]
precious [AND] modern [AND] homely [IMPLY] easy [PERIOD]
zealous [AND] old-fashioned [AND] homely [IMPLY] plain [PERIOD]
thoughtless [IMPLY] sincere [PERIOD]
old-fashioned [AND] precious [AND] busy [IMPLY] worried [PERIOD]
old-fashioned [AND] lucky [AND] easy [IMPLY] zealous [PERIOD]
broad-minded [AND] modern [AND] vivacious [IMPLY] diplomatic [PERIOD]
stubborn [IMPLY] ugly [PERIOD]
lucky [AND] old-fashioned [IMPLY] broad-minded [PERIOD]
confused [AND] sincere [IMPLY] modern [PERIOD]
sincere [AND] bored [IMPLY] tame [PERIOD]
reserved [AND] ugly [AND] broad-minded [IMPLY] thoughtless [PERIOD]
stubborn [AND] easy [AND] fancy [IMPLY] sincere [PERIOD]
bored [AND] inexpensive [IMPLY] vivacious [PERIOD]
busy [AND] sincere [IMPLY] zealous [PERIOD]
outrageous [IMPLY] modern [PERIOD]
precious [AND] dishonest [AND] broad-minded [IMPLY] diplomatic [PERIOD]
zealous [AND] plain [IMPLY] lucky [PERIOD]
cooperative [AND] homely [AND] old-fashioned [IMPLY] long [PERIOD]
vivacious [AND] lucky [AND] busy [IMPLY] reserved [PERIOD]
dishonest [AND] bored [IMPLY] cooperative [PERIOD]
broad-minded [IMPLY] busy [PERIOD]
diplomatic [AND] dishonest [AND] homely [IMPLY] fancy [PERIOD]
lucky [IMPLY] confused [PERIOD]
plain [IMPLY] tame [PERIOD]
ugly [AND] busy [AND] serious [IMPLY] zealous [PERIOD]
worried [AND] sincere [IMPLY] easy [PERIOD]
cute [IMPLY] serious [PERIOD]
modern [IMPLY] zealous [PERIOD]
reserved [AND] easy [AND] sincere [IMPLY] busy [PERIOD]
reserved [AND] broad-minded [IMPLY] plain [PERIOD]
bored [AND] stubborn [IMPLY] inexpensive [PERIOD]
lucky [AND] vivacious [AND] serious [IMPLY] busy [PERIOD]
fancy [AND] homely [IMPLY] diplomatic [PERIOD]
serious [AND] cute [AND] sincere [IMPLY] modern [PERIOD]
thoughtless [AND] tame [AND] lucky [IMPLY] fancy [PERIOD]
confused [AND] inexpensive [AND] outrageous [IMPLY] fancy [PERIOD]
old-fashioned [AND] dishonest [AND] confused [IMPLY] stubborn [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   broad-minded ⇒ busy
   busy ⇒ vivacious
   broad-minded ∧ modern ∧ vivacious ⇒ diplomatic
   bored ⇒ tame
   tame ∧ modern ⇒ homely
   cooperative ∧ homely ⇒ plain
   outrageous ∧ diplomatic ∧ plain ⇒ stubborn
",1,7
"Facts: 
Rules:
cute [AND] spotless [IMPLY] fragile [PERIOD]
rational [IMPLY] cute [PERIOD]
intellectual [AND] muddy [IMPLY] combative [PERIOD]
fearless [IMPLY] fine [PERIOD]
gorgeous [IMPLY] fearless [PERIOD]
frantic [AND] rational [AND] spotless [IMPLY] dishonest [PERIOD]
fine [IMPLY] cute [PERIOD]
fine [AND] tired [AND] fragile [IMPLY] fearless [PERIOD]
calm [IMPLY] old-fashioned [PERIOD]
calm [IMPLY] talkative [PERIOD]
talkative [AND] fragile [IMPLY] fine [PERIOD]
spotless [IMPLY] fearless [PERIOD]
fine [AND] dishonest [AND] fragile [IMPLY] cute [PERIOD]
tired [IMPLY] fearless [PERIOD]
dishonest [AND] talkative [AND] confident [IMPLY] tired [PERIOD]
fragile [AND] fearless [IMPLY] zealous [PERIOD]
combative [IMPLY] cute [PERIOD]
rational [AND] calm [AND] talkative [IMPLY] fearless [PERIOD]
talkative [AND] combative [AND] calm [IMPLY] tired [PERIOD]
frantic [AND] talkative [AND] cute [IMPLY] rational [PERIOD]
muddy [AND] tired [IMPLY] confident [PERIOD]
combative [AND] talkative [IMPLY] fragile [PERIOD]
thoughtful [AND] calm [IMPLY] fine [PERIOD]
zealous [AND] thoughtful [IMPLY] gorgeous [PERIOD]
thoughtful [AND] combative [AND] muddy [IMPLY] gorgeous [PERIOD]
dishonest [IMPLY] frantic [PERIOD]
thoughtful [IMPLY] dishonest [PERIOD]
old-fashioned [AND] talkative [AND] frantic [IMPLY] tired [PERIOD]
fragile [IMPLY] frantic [PERIOD]
spotless [IMPLY] fragile [PERIOD]
frantic [IMPLY] thoughtful [PERIOD]
old-fashioned [AND] frantic [AND] calm [IMPLY] gorgeous [PERIOD]
muddy [AND] thoughtful [AND] zealous [IMPLY] old-fashioned [PERIOD]
fearless [AND] confident [AND] muddy [IMPLY] gorgeous [PERIOD]
combative [IMPLY] calm [PERIOD]
intellectual [IMPLY] combative [PERIOD]
talkative [AND] rational [AND] combative [IMPLY] dishonest [PERIOD]
cute [AND] fine [IMPLY] gorgeous [PERIOD]
fragile [IMPLY] muddy [PERIOD]
zealous [AND] fearless [IMPLY] dishonest [PERIOD]
muddy [IMPLY] dishonest [PERIOD]
muddy [AND] spotless [IMPLY] fearless [PERIOD]
fearless [IMPLY] gorgeous [PERIOD]
thoughtful [AND] intellectual [AND] cute [IMPLY] muddy [PERIOD]
fine [AND] gorgeous [AND] frantic [IMPLY] dishonest [PERIOD]
combative [AND] rational [IMPLY] intellectual [PERIOD]
dishonest [AND] old-fashioned [AND] intellectual [IMPLY] fragile [PERIOD]
dishonest [AND] rational [AND] zealous [IMPLY] old-fashioned [PERIOD]
rational [IMPLY] fine [PERIOD]
cute [AND] zealous [AND] fragile [IMPLY] dishonest [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   Cannot apply rule “frantic ∧ rational ∧ spotless ⇒ dishonest” because missing: frantic, rational, spotless.
   Cannot apply rule “thoughtful ⇒ dishonest” because missing: thoughtful.
   Cannot apply rule “talkative ∧ rational ∧ combative ⇒ dishonest” because missing: talkative, rational, combative.
   Cannot apply rule “zealous ∧ fearless ⇒ dishonest” because missing: zealous, fearless.
   Cannot apply rule “muddy ⇒ dishonest” because missing: muddy.
   Cannot apply rule “fine ∧ gorgeous ∧ frantic ⇒ dishonest” because missing: fine, gorgeous, frantic.
   Cannot apply rule “cute ∧ zealous ∧ fragile ⇒ dishonest” because missing: cute, zealous, fragile.
",0,7
"Facts:  Alice is fearless [PERIOD] Alice is attractive [PERIOD] Alice is broad-minded [PERIOD]
Rules:
tame [IMPLY] fragile [PERIOD]
exuberant [AND] confused [AND] bad-tempered [IMPLY] ambitious [PERIOD]
attractive [AND] aggressive [AND] tame [IMPLY] polite [PERIOD]
ugliest [AND] difficult [IMPLY] tame [PERIOD]
difficult [IMPLY] attentive [PERIOD]
aggressive [IMPLY] polite [PERIOD]
attentive [IMPLY] cruel [PERIOD]
uptight [AND] frantic [AND] cruel [IMPLY] fragile [PERIOD]
ambitious [AND] ugliest [AND] tame [IMPLY] clumsy [PERIOD]
attentive [IMPLY] fragile [PERIOD]
outrageous [AND] bad-tempered [IMPLY] fragile [PERIOD]
tame [AND] confused [IMPLY] frantic [PERIOD]
uptight [IMPLY] clumsy [PERIOD]
broad-minded [IMPLY] confident [PERIOD]
ambitious [IMPLY] supportive [PERIOD]
polite [AND] ambitious [AND] confused [IMPLY] fragile [PERIOD]
broad-minded [AND] uptight [AND] polite [IMPLY] confused [PERIOD]
cruel [AND] confused [AND] exuberant [IMPLY] ugliest [PERIOD]
attractive [AND] bad-tempered [IMPLY] polite [PERIOD]
uptight [AND] ugliest [IMPLY] powerful [PERIOD]
supportive [AND] cruel [IMPLY] joyous [PERIOD]
bad-tempered [AND] ambitious [IMPLY] confident [PERIOD]
difficult [IMPLY] ambitious [PERIOD]
broad-minded [AND] outrageous [IMPLY] powerful [PERIOD]
uptight [AND] ambitious [AND] fearless [IMPLY] difficult [PERIOD]
cruel [AND] joyous [AND] fearless [IMPLY] broad-minded [PERIOD]
cooperative [AND] confident [AND] confused [IMPLY] fearless [PERIOD]
bad-tempered [AND] attentive [AND] fragile [IMPLY] joyous [PERIOD]
exuberant [AND] confused [AND] ambitious [IMPLY] attentive [PERIOD]
attractive [AND] ambitious [AND] difficult [IMPLY] tame [PERIOD]
outrageous [IMPLY] joyous [PERIOD]
exuberant [IMPLY] cruel [PERIOD]
cooperative [IMPLY] fragile [PERIOD]
supportive [AND] frantic [IMPLY] cruel [PERIOD]
confident [AND] uptight [IMPLY] exuberant [PERIOD]
confident [AND] ugliest [AND] clumsy [IMPLY] outrageous [PERIOD]
difficult [AND] clumsy [IMPLY] attentive [PERIOD]
fearless [IMPLY] confused [PERIOD]
attractive [AND] ambitious [AND] joyous [IMPLY] cruel [PERIOD]
confident [AND] aggressive [AND] cruel [IMPLY] tame [PERIOD]
outrageous [AND] confused [IMPLY] fearless [PERIOD]
attentive [IMPLY] bad-tempered [PERIOD]
confused [IMPLY] attractive [PERIOD]
confident [AND] fragile [AND] clumsy [IMPLY] ambitious [PERIOD]
clumsy [IMPLY] aggressive [PERIOD]
cruel [AND] confused [IMPLY] joyous [PERIOD]
uptight [IMPLY] confident [PERIOD]
difficult [IMPLY] exuberant [PERIOD]
ugliest [IMPLY] attractive [PERIOD]
outrageous [AND] clumsy [AND] difficult [IMPLY] powerful [PERIOD]
ambitious [AND] difficult [IMPLY] attentive [PERIOD]
joyous [IMPLY] fragile [PERIOD]
tame [AND] confused [AND] cooperative [IMPLY] polite [PERIOD]
tame [AND] fragile [IMPLY] ambitious [PERIOD]
bad-tempered [IMPLY] clumsy [PERIOD]
difficult [AND] powerful [AND] attractive [IMPLY] frantic [PERIOD]
joyous [AND] attractive [AND] fearless [IMPLY] supportive [PERIOD]
confused [IMPLY] bad-tempered [PERIOD]
aggressive [AND] attractive [IMPLY] ugliest [PERIOD]
cooperative [AND] bad-tempered [AND] aggressive [IMPLY] powerful [PERIOD]
powerful [AND] outrageous [AND] difficult [IMPLY] fragile [PERIOD]
tame [AND] confused [IMPLY] fragile [PERIOD]
ambitious [AND] broad-minded [AND] confident [IMPLY] attentive [PERIOD]
aggressive [IMPLY] tame [PERIOD]
uptight [AND] joyous [IMPLY] bad-tempered [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   fearless ⇒ confused
   confused ⇒ bad-tempered
   bad-tempered ⇒ clumsy
   clumsy ⇒ aggressive
   aggressive ⇒ tame
   tame ⇒ fragile
",1,6
"Facts:  Alice is tidy [PERIOD] Alice is friendly [PERIOD] Alice is impatient [PERIOD]
Rules:
bossy [AND] impatient [IMPLY] careless [PERIOD]
helpful [AND] tidy [IMPLY] careless [PERIOD]
attentive [IMPLY] careless [PERIOD]
anxious [AND] bad-tempered [IMPLY] friendly [PERIOD]
perfect [AND] friendly [AND] tidy [IMPLY] bad-tempered [PERIOD]
bossy [IMPLY] helpful [PERIOD]
tidy [AND] impatient [AND] perfect [IMPLY] helpful [PERIOD]
friendly [AND] careless [AND] bad-tempered [IMPLY] bossy [PERIOD]
anxious [AND] bossy [IMPLY] bad-tempered [PERIOD]
impatient [AND] tidy [AND] anxious [IMPLY] perfect [PERIOD]
bad-tempered [AND] friendly [AND] bossy [IMPLY] attentive [PERIOD]
friendly [AND] bad-tempered [AND] impatient [IMPLY] bossy [PERIOD]
careless [AND] impatient [IMPLY] friendly [PERIOD]
perfect [AND] bad-tempered [IMPLY] anxious [PERIOD]
friendly [AND] helpful [IMPLY] impatient [PERIOD]
bad-tempered [AND] impatient [AND] perfect [IMPLY] bossy [PERIOD]
tidy [IMPLY] careless [PERIOD]
tidy [AND] helpful [AND] impatient [IMPLY] anxious [PERIOD]
impatient [AND] bad-tempered [IMPLY] friendly [PERIOD]
impatient [AND] attentive [AND] careless [IMPLY] bad-tempered [PERIOD]
impatient [AND] anxious [IMPLY] helpful [PERIOD]
attentive [AND] bad-tempered [IMPLY] impatient [PERIOD]
friendly [AND] bossy [IMPLY] helpful [PERIOD]
friendly [AND] anxious [AND] bossy [IMPLY] attentive [PERIOD]
anxious [AND] friendly [AND] tidy [IMPLY] careless [PERIOD]
helpful [AND] anxious [IMPLY] perfect [PERIOD]
perfect [AND] anxious [IMPLY] bad-tempered [PERIOD]
perfect [AND] tidy [IMPLY] anxious [PERIOD]
bad-tempered [AND] friendly [IMPLY] impatient [PERIOD]
bossy [AND] anxious [AND] careless [IMPLY] helpful [PERIOD]
impatient [AND] bad-tempered [IMPLY] tidy [PERIOD]
Query: Alice is bad-tempered [PERIOD]","Proof chain:
   Cannot apply rule “perfect ∧ friendly ∧ tidy ⇒ bad-tempered” because missing: perfect.
   Cannot apply rule “anxious ∧ bossy ⇒ bad-tempered” because missing: anxious, bossy.
   tidy ⇒ careless
   Cannot apply rule “impatient ∧ attentive ∧ careless ⇒ bad-tempered” because missing: attentive.
   Cannot apply rule “perfect ∧ anxious ⇒ bad-tempered” because missing: perfect, anxious.
",0,5
"Facts:  Alice is ugliest [PERIOD] Alice is crowded [PERIOD] Alice is tame [PERIOD] Alice is polite [PERIOD] Alice is lucky [PERIOD] Alice is messy [PERIOD] Alice is rude [PERIOD] Alice is old-fashioned [PERIOD] Alice is disgusted [PERIOD] Alice is proud [PERIOD] Alice is silly [PERIOD] Alice is impartial [PERIOD]
Rules:
shy [AND] tame [IMPLY] silly [PERIOD]
disgusted [AND] impartial [AND] crowded [IMPLY] serious [PERIOD]
polite [AND] serious [AND] silly [IMPLY] careless [PERIOD]
messy [IMPLY] silly [PERIOD]
rude [AND] serious [IMPLY] crowded [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   disgusted ∧ impartial ∧ crowded ⇒ serious
",1,1
"Facts:  Alice is inquisitive [PERIOD] Alice is powerful [PERIOD] Alice is muddy [PERIOD] Alice is careless [PERIOD]
Rules:
muddy [AND] attractive [IMPLY] smart [PERIOD]
attractive [AND] elated [AND] careless [IMPLY] smart [PERIOD]
talented [IMPLY] careless [PERIOD]
smart [IMPLY] tame [PERIOD]
exuberant [AND] witty [AND] talented [IMPLY] smart [PERIOD]
bossy [AND] elated [AND] clean [IMPLY] tame [PERIOD]
thoughtful [AND] exuberant [AND] pessimistic [IMPLY] stormy [PERIOD]
bossy [IMPLY] thoughtful [PERIOD]
exuberant [AND] precious [AND] powerful [IMPLY] tame [PERIOD]
pessimistic [AND] tame [IMPLY] careless [PERIOD]
tame [AND] witty [IMPLY] exuberant [PERIOD]
clean [IMPLY] powerful [PERIOD]
thoughtful [AND] attractive [IMPLY] powerful [PERIOD]
muddy [AND] tame [AND] witty [IMPLY] elated [PERIOD]
precious [AND] witty [IMPLY] clean [PERIOD]
attractive [IMPLY] thoughtful [PERIOD]
attractive [IMPLY] smart [PERIOD]
witty [AND] tame [AND] careless [IMPLY] bossy [PERIOD]
careless [IMPLY] clean [PERIOD]
witty [AND] attractive [AND] muddy [IMPLY] inquisitive [PERIOD]
thoughtful [AND] witty [IMPLY] careless [PERIOD]
aggressive [AND] witty [AND] careless [IMPLY] smart [PERIOD]
careless [AND] elated [IMPLY] pessimistic [PERIOD]
clean [AND] pessimistic [IMPLY] aggressive [PERIOD]
tame [AND] careless [IMPLY] inquisitive [PERIOD]
bossy [IMPLY] stormy [PERIOD]
attractive [AND] exuberant [AND] smart [IMPLY] careless [PERIOD]
elated [IMPLY] smart [PERIOD]
nervous [IMPLY] aggressive [PERIOD]
aggressive [AND] powerful [IMPLY] elated [PERIOD]
thoughtful [AND] tame [IMPLY] aggressive [PERIOD]
talented [AND] witty [IMPLY] muddy [PERIOD]
stormy [IMPLY] smart [PERIOD]
exuberant [IMPLY] inquisitive [PERIOD]
bossy [IMPLY] muddy [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   No rule concludes “nervous.”
",0,1
"Facts:  Alice is exuberant [PERIOD] Alice is rude [PERIOD] Alice is combative [PERIOD] Alice is pessimistic [PERIOD] Alice is popular [PERIOD] Alice is mean [PERIOD] Alice is bright [PERIOD]
Rules:
exuberant [AND] pessimistic [AND] elegant [IMPLY] bright [PERIOD]
bright [IMPLY] pessimistic [PERIOD]
pessimistic [IMPLY] rude [PERIOD]
elegant [IMPLY] combative [PERIOD]
popular [AND] talkative [AND] courageous [IMPLY] mean [PERIOD]
popular [AND] combative [IMPLY] talkative [PERIOD]
talkative [AND] exuberant [IMPLY] elegant [PERIOD]
exuberant [AND] busy [AND] elegant [IMPLY] mean [PERIOD]
pessimistic [IMPLY] mean [PERIOD]
pessimistic [AND] popular [AND] combative [IMPLY] courageous [PERIOD]
talkative [AND] combative [IMPLY] clean [PERIOD]
busy [AND] pessimistic [IMPLY] courageous [PERIOD]
popular [AND] courageous [IMPLY] talkative [PERIOD]
rude [AND] elegant [AND] anxious [IMPLY] courageous [PERIOD]
pessimistic [AND] elegant [AND] rude [IMPLY] anxious [PERIOD]
combative [AND] clean [AND] talkative [IMPLY] rude [PERIOD]
combative [AND] exuberant [AND] elegant [IMPLY] rude [PERIOD]
talkative [AND] pessimistic [AND] busy [IMPLY] combative [PERIOD]
courageous [IMPLY] pessimistic [PERIOD]
rude [IMPLY] clean [PERIOD]
busy [AND] popular [IMPLY] clean [PERIOD]
clean [AND] courageous [IMPLY] anxious [PERIOD]
Query: Alice is busy [PERIOD]","Proof chain:
   No rule concludes “busy.”
",0,1
"Facts:  Alice is nervous [PERIOD] Alice is rude [PERIOD] Alice is sincere [PERIOD]
Rules:
strange [AND] hilarious [AND] disgusted [IMPLY] muddy [PERIOD]
bad-tempered [AND] sleepy [AND] alert [IMPLY] sincere [PERIOD]
mean [AND] nervous [IMPLY] bossy [PERIOD]
mean [AND] clumsy [IMPLY] smart [PERIOD]
mean [AND] muddy [AND] exuberant [IMPLY] bad-tempered [PERIOD]
alert [AND] serious [AND] bossy [IMPLY] mean [PERIOD]
powerful [IMPLY] nervous [PERIOD]
alert [IMPLY] strange [PERIOD]
intellectual [AND] alert [IMPLY] powerful [PERIOD]
bossy [AND] distinct [AND] sleepy [IMPLY] disgusted [PERIOD]
nervous [AND] rude [AND] intellectual [IMPLY] hilarious [PERIOD]
rude [AND] calm [IMPLY] serious [PERIOD]
bad-tempered [AND] nervous [AND] muddy [IMPLY] alert [PERIOD]
muddy [AND] disgusted [IMPLY] nervous [PERIOD]
disgusted [AND] bad-tempered [IMPLY] muddy [PERIOD]
intellectual [AND] bad-tempered [AND] strange [IMPLY] serious [PERIOD]
bad-tempered [AND] strange [AND] muddy [IMPLY] sleepy [PERIOD]
smart [AND] clumsy [AND] hilarious [IMPLY] nervous [PERIOD]
serious [AND] intellectual [AND] disgusted [IMPLY] nervous [PERIOD]
bad-tempered [AND] muddy [AND] clumsy [IMPLY] smart [PERIOD]
muddy [AND] serious [IMPLY] powerful [PERIOD]
sincere [AND] bad-tempered [IMPLY] strange [PERIOD]
muddy [IMPLY] intellectual [PERIOD]
serious [AND] alert [AND] muddy [IMPLY] strange [PERIOD]
distinct [AND] clumsy [IMPLY] muddy [PERIOD]
rude [AND] bossy [AND] bad-tempered [IMPLY] exuberant [PERIOD]
intellectual [IMPLY] rude [PERIOD]
smart [IMPLY] calm [PERIOD]
strange [IMPLY] serious [PERIOD]
rude [AND] alert [IMPLY] sleepy [PERIOD]
helpless [AND] powerful [IMPLY] bad-tempered [PERIOD]
smart [AND] bad-tempered [IMPLY] sincere [PERIOD]
distinct [IMPLY] nervous [PERIOD]
intellectual [IMPLY] exuberant [PERIOD]
rude [IMPLY] distinct [PERIOD]
sincere [IMPLY] helpless [PERIOD]
bad-tempered [IMPLY] powerful [PERIOD]
exuberant [IMPLY] mean [PERIOD]
strange [AND] mean [IMPLY] exuberant [PERIOD]
calm [IMPLY] hilarious [PERIOD]
alert [IMPLY] sincere [PERIOD]
sincere [AND] serious [IMPLY] disgusted [PERIOD]
hilarious [AND] disgusted [AND] distinct [IMPLY] intellectual [PERIOD]
calm [AND] intellectual [AND] distinct [IMPLY] disgusted [PERIOD]
distinct [AND] serious [AND] bossy [IMPLY] intellectual [PERIOD]
bad-tempered [AND] serious [AND] bossy [IMPLY] calm [PERIOD]
distinct [AND] mean [IMPLY] alert [PERIOD]
bossy [AND] smart [IMPLY] exuberant [PERIOD]
sincere [IMPLY] serious [PERIOD]
sleepy [AND] sincere [AND] muddy [IMPLY] bad-tempered [PERIOD]
bossy [AND] intellectual [IMPLY] disgusted [PERIOD]
bossy [IMPLY] clumsy [PERIOD]
muddy [AND] rude [AND] helpless [IMPLY] nervous [PERIOD]
sincere [AND] bad-tempered [AND] calm [IMPLY] sleepy [PERIOD]
exuberant [AND] sincere [AND] intellectual [IMPLY] hilarious [PERIOD]
hilarious [AND] smart [AND] sincere [IMPLY] nervous [PERIOD]
alert [AND] calm [IMPLY] smart [PERIOD]
serious [AND] helpless [AND] exuberant [IMPLY] alert [PERIOD]
powerful [IMPLY] muddy [PERIOD]
bad-tempered [IMPLY] clumsy [PERIOD]
sincere [AND] powerful [IMPLY] sleepy [PERIOD]
bad-tempered [AND] hilarious [IMPLY] sincere [PERIOD]
Query: Alice is disgusted [PERIOD]","Proof chain:
   sincere ⇒ serious
   sincere ∧ serious ⇒ disgusted
",1,2
"Facts:  Alice is wandering [PERIOD] Alice is proud [PERIOD] Alice is mean [PERIOD] Alice is dishonest [PERIOD]
Rules:
tame [IMPLY] comfortable [PERIOD]
blushing [AND] attentive [IMPLY] mean [PERIOD]
wandering [IMPLY] shiny [PERIOD]
bossy [AND] comfortable [IMPLY] attractive [PERIOD]
hypocritical [AND] comfortable [IMPLY] selfish [PERIOD]
wandering [IMPLY] selfish [PERIOD]
thoughtless [AND] selfish [AND] dishonest [IMPLY] proud [PERIOD]
proud [IMPLY] comfortable [PERIOD]
comfortable [AND] bored [IMPLY] blushing [PERIOD]
mean [AND] bossy [AND] hypocritical [IMPLY] selfish [PERIOD]
dishonest [AND] bored [AND] witty [IMPLY] easy [PERIOD]
attentive [IMPLY] shiny [PERIOD]
bossy [AND] dishonest [IMPLY] bored [PERIOD]
attractive [IMPLY] attentive [PERIOD]
courageous [IMPLY] mean [PERIOD]
quaint [AND] attractive [IMPLY] dishonest [PERIOD]
proud [IMPLY] bossy [PERIOD]
quaint [IMPLY] shiny [PERIOD]
courageous [AND] shiny [IMPLY] witty [PERIOD]
quaint [AND] courageous [AND] attentive [IMPLY] blushing [PERIOD]
easy [AND] bored [AND] quaint [IMPLY] shiny [PERIOD]
thoughtless [IMPLY] shiny [PERIOD]
shiny [AND] easy [AND] thoughtless [IMPLY] courageous [PERIOD]
selfish [AND] comfortable [AND] bossy [IMPLY] hypocritical [PERIOD]
bossy [AND] hypocritical [AND] attentive [IMPLY] selfish [PERIOD]
hypocritical [IMPLY] bossy [PERIOD]
tame [IMPLY] hypocritical [PERIOD]
shiny [IMPLY] proud [PERIOD]
attentive [IMPLY] bored [PERIOD]
witty [AND] selfish [AND] proud [IMPLY] hypocritical [PERIOD]
bored [IMPLY] shiny [PERIOD]
courageous [AND] mean [AND] bossy [IMPLY] comfortable [PERIOD]
easy [IMPLY] comfortable [PERIOD]
shiny [AND] quaint [IMPLY] proud [PERIOD]
wandering [AND] mean [IMPLY] comfortable [PERIOD]
bossy [AND] attractive [IMPLY] wandering [PERIOD]
mean [IMPLY] wandering [PERIOD]
blushing [AND] shiny [IMPLY] tame [PERIOD]
thoughtless [AND] hypocritical [AND] easy [IMPLY] bored [PERIOD]
courageous [AND] witty [IMPLY] quaint [PERIOD]
thoughtless [AND] courageous [AND] shiny [IMPLY] proud [PERIOD]
blushing [IMPLY] selfish [PERIOD]
easy [IMPLY] attractive [PERIOD]
thoughtless [AND] shiny [IMPLY] blushing [PERIOD]
bored [AND] easy [AND] tame [IMPLY] quaint [PERIOD]
hypocritical [AND] witty [IMPLY] quaint [PERIOD]
attractive [AND] witty [IMPLY] tame [PERIOD]
tame [IMPLY] bored [PERIOD]
selfish [AND] quaint [AND] bossy [IMPLY] dishonest [PERIOD]
tame [IMPLY] attentive [PERIOD]
shiny [AND] wandering [IMPLY] easy [PERIOD]
proud [IMPLY] courageous [PERIOD]
attentive [IMPLY] mean [PERIOD]
bored [IMPLY] thoughtless [PERIOD]
quaint [AND] dishonest [AND] tame [IMPLY] easy [PERIOD]
bossy [IMPLY] hypocritical [PERIOD]
dishonest [AND] attentive [IMPLY] wandering [PERIOD]
blushing [AND] easy [IMPLY] bossy [PERIOD]
dishonest [AND] bored [IMPLY] thoughtless [PERIOD]
bored [AND] dishonest [AND] attractive [IMPLY] mean [PERIOD]
blushing [AND] shiny [IMPLY] proud [PERIOD]
dishonest [AND] quaint [IMPLY] bored [PERIOD]
courageous [AND] dishonest [IMPLY] attentive [PERIOD]
bossy [AND] mean [IMPLY] tame [PERIOD]
proud [IMPLY] selfish [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   proud ⇒ bossy
   bossy ∧ dishonest ⇒ bored
   wandering ⇒ shiny
   shiny ∧ wandering ⇒ easy
   proud ⇒ bossy
   bossy ∧ mean ⇒ tame
   bored ∧ easy ∧ tame ⇒ quaint
",1,7
"Facts: 
Rules:
silly [IMPLY] comfortable [PERIOD]
supportive [AND] silly [AND] worrisome [IMPLY] frail [PERIOD]
frail [AND] comfortable [IMPLY] supportive [PERIOD]
worrisome [AND] silly [AND] supportive [IMPLY] comfortable [PERIOD]
supportive [AND] comfortable [AND] worrisome [IMPLY] frail [PERIOD]
silly [AND] worrisome [IMPLY] comfortable [PERIOD]
worrisome [AND] comfortable [IMPLY] silly [PERIOD]
worrisome [IMPLY] silly [PERIOD]
silly [IMPLY] supportive [PERIOD]
worrisome [AND] frail [AND] supportive [IMPLY] comfortable [PERIOD]
supportive [AND] silly [IMPLY] worrisome [PERIOD]
silly [AND] supportive [IMPLY] frail [PERIOD]
worrisome [AND] frail [AND] comfortable [IMPLY] silly [PERIOD]
comfortable [AND] supportive [IMPLY] frail [PERIOD]
supportive [IMPLY] comfortable [PERIOD]
worrisome [AND] silly [AND] comfortable [IMPLY] frail [PERIOD]
frail [AND] supportive [AND] comfortable [IMPLY] worrisome [PERIOD]
worrisome [IMPLY] comfortable [PERIOD]
frail [IMPLY] comfortable [PERIOD]
frail [AND] worrisome [AND] supportive [IMPLY] silly [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   Cannot apply rule “silly ⇒ comfortable” because missing: silly.
   Cannot apply rule “worrisome ∧ silly ∧ supportive ⇒ comfortable” because missing: worrisome, silly, supportive.
   Cannot apply rule “silly ∧ worrisome ⇒ comfortable” because missing: silly, worrisome.
   Cannot apply rule “worrisome ∧ frail ∧ supportive ⇒ comfortable” because missing: worrisome, frail, supportive.
   Cannot apply rule “supportive ⇒ comfortable” because missing: supportive.
   Cannot apply rule “worrisome ⇒ comfortable” because missing: worrisome.
   Cannot apply rule “frail ⇒ comfortable” because missing: frail.
",0,7
"Facts:  Alice is polite [PERIOD] Alice is tired [PERIOD] Alice is shiny [PERIOD] Alice is troubled [PERIOD] Alice is comfortable [PERIOD] Alice is fragile [PERIOD] Alice is spotless [PERIOD] Alice is vivacious [PERIOD] Alice is agreeable [PERIOD] Alice is strange [PERIOD] Alice is different [PERIOD] Alice is uptight [PERIOD]
Rules:
calm [AND] elegant [AND] spotless [IMPLY] comfortable [PERIOD]
adorable [AND] tired [AND] old-fashioned [IMPLY] shiny [PERIOD]
tired [AND] straightforward [AND] adorable [IMPLY] shiny [PERIOD]
messy [AND] calm [IMPLY] shiny [PERIOD]
tired [IMPLY] elegant [PERIOD]
troubled [AND] worried [IMPLY] tired [PERIOD]
wandering [IMPLY] plain [PERIOD]
plain [AND] worried [IMPLY] homely [PERIOD]
different [IMPLY] strange [PERIOD]
uptight [IMPLY] plain [PERIOD]
straightforward [AND] wandering [AND] polite [IMPLY] troubled [PERIOD]
wandering [AND] straightforward [AND] spotless [IMPLY] comfortable [PERIOD]
adorable [AND] strange [AND] calm [IMPLY] comfortable [PERIOD]
worried [IMPLY] clean [PERIOD]
proud [IMPLY] comfortable [PERIOD]
old-fashioned [AND] hurt [IMPLY] adorable [PERIOD]
plain [AND] strange [AND] clean [IMPLY] polite [PERIOD]
wandering [AND] straightforward [AND] different [IMPLY] tired [PERIOD]
shiny [AND] straightforward [AND] calm [IMPLY] plain [PERIOD]
adorable [AND] spotless [AND] calm [IMPLY] serious [PERIOD]
shiny [AND] agreeable [AND] plain [IMPLY] different [PERIOD]
uptight [AND] worried [IMPLY] selfish [PERIOD]
elegant [IMPLY] wandering [PERIOD]
plain [AND] clean [IMPLY] polite [PERIOD]
old-fashioned [AND] serious [IMPLY] wandering [PERIOD]
spotless [IMPLY] fragile [PERIOD]
clean [AND] uptight [IMPLY] agreeable [PERIOD]
elegant [AND] straightforward [AND] old-fashioned [IMPLY] messy [PERIOD]
selfish [AND] clean [AND] vivacious [IMPLY] adorable [PERIOD]
hurt [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] troubled [PERIOD]
tired [IMPLY] uptight [PERIOD]
homely [IMPLY] troubled [PERIOD]
clean [AND] comfortable [AND] plain [IMPLY] agreeable [PERIOD]
plain [IMPLY] straightforward [PERIOD]
calm [AND] adorable [IMPLY] worried [PERIOD]
agreeable [AND] vivacious [IMPLY] clean [PERIOD]
polite [AND] fragile [IMPLY] strange [PERIOD]
calm [IMPLY] clean [PERIOD]
strange [AND] proud [AND] different [IMPLY] hurt [PERIOD]
old-fashioned [IMPLY] comfortable [PERIOD]
shiny [AND] vivacious [AND] old-fashioned [IMPLY] serious [PERIOD]
comfortable [AND] old-fashioned [AND] homely [IMPLY] adorable [PERIOD]
vivacious [AND] old-fashioned [AND] elegant [IMPLY] uptight [PERIOD]
strange [AND] agreeable [AND] polite [IMPLY] elegant [PERIOD]
tired [AND] calm [IMPLY] selfish [PERIOD]
fragile [AND] hurt [IMPLY] serious [PERIOD]
selfish [AND] spotless [AND] homely [IMPLY] proud [PERIOD]
straightforward [AND] adorable [IMPLY] spotless [PERIOD]
spotless [AND] calm [AND] comfortable [IMPLY] agreeable [PERIOD]
polite [IMPLY] clean [PERIOD]
straightforward [AND] selfish [AND] spotless [IMPLY] hurt [PERIOD]
agreeable [AND] calm [IMPLY] adorable [PERIOD]
serious [AND] worried [AND] tired [IMPLY] messy [PERIOD]
serious [AND] uptight [AND] proud [IMPLY] old-fashioned [PERIOD]
troubled [IMPLY] proud [PERIOD]
agreeable [IMPLY] selfish [PERIOD]
tired [AND] adorable [IMPLY] serious [PERIOD]
clean [AND] proud [AND] adorable [IMPLY] calm [PERIOD]
plain [IMPLY] selfish [PERIOD]
messy [IMPLY] different [PERIOD]
agreeable [AND] straightforward [AND] polite [IMPLY] wandering [PERIOD]
comfortable [AND] homely [AND] serious [IMPLY] worried [PERIOD]
messy [AND] elegant [IMPLY] spotless [PERIOD]
shiny [AND] vivacious [AND] messy [IMPLY] strange [PERIOD]
comfortable [AND] selfish [IMPLY] strange [PERIOD]
agreeable [AND] troubled [AND] vivacious [IMPLY] wandering [PERIOD]
elegant [IMPLY] old-fashioned [PERIOD]
adorable [AND] fragile [AND] old-fashioned [IMPLY] troubled [PERIOD]
vivacious [AND] elegant [IMPLY] troubled [PERIOD]
old-fashioned [IMPLY] shiny [PERIOD]
fragile [AND] messy [IMPLY] straightforward [PERIOD]
serious [IMPLY] spotless [PERIOD]
old-fashioned [AND] straightforward [IMPLY] messy [PERIOD]
vivacious [IMPLY] agreeable [PERIOD]
strange [IMPLY] agreeable [PERIOD]
shiny [AND] comfortable [AND] agreeable [IMPLY] troubled [PERIOD]
straightforward [IMPLY] spotless [PERIOD]
shiny [AND] messy [AND] strange [IMPLY] agreeable [PERIOD]
wandering [AND] worried [IMPLY] shiny [PERIOD]
selfish [AND] clean [AND] hurt [IMPLY] calm [PERIOD]
troubled [AND] shiny [IMPLY] messy [PERIOD]
homely [IMPLY] proud [PERIOD]
calm [AND] spotless [IMPLY] hurt [PERIOD]
messy [AND] elegant [AND] agreeable [IMPLY] vivacious [PERIOD]
strange [AND] vivacious [IMPLY] shiny [PERIOD]
shiny [AND] serious [AND] spotless [IMPLY] straightforward [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is popular [PERIOD] Alice is plain [PERIOD] Alice is mean [PERIOD] Alice is thoughtful [PERIOD] Alice is average [PERIOD]
Rules:
different [AND] gleaming [IMPLY] gifted [PERIOD]
tidy [AND] sensible [IMPLY] gleaming [PERIOD]
different [AND] fragile [AND] inexpensive [IMPLY] gleaming [PERIOD]
different [AND] average [AND] fragile [IMPLY] tidy [PERIOD]
straightforward [AND] light [IMPLY] condemned [PERIOD]
tired [AND] horrible [IMPLY] fragile [PERIOD]
gifted [IMPLY] horrible [PERIOD]
light [IMPLY] condemned [PERIOD]
straightforward [IMPLY] busy [PERIOD]
condemned [AND] talkative [AND] different [IMPLY] serious [PERIOD]
agreeable [AND] thoughtful [AND] tired [IMPLY] outrageous [PERIOD]
mean [AND] serious [AND] inexpensive [IMPLY] vivacious [PERIOD]
serious [IMPLY] vivacious [PERIOD]
agreeable [AND] serious [IMPLY] vivacious [PERIOD]
sensible [AND] talkative [AND] gifted [IMPLY] thoughtful [PERIOD]
condemned [IMPLY] thoughtful [PERIOD]
different [IMPLY] serious [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   Cannot apply rule “mean ∧ serious ∧ inexpensive ⇒ vivacious” because missing: serious, inexpensive.
   Cannot apply rule “serious ⇒ vivacious” because missing: serious.
   Cannot apply rule “agreeable ∧ serious ⇒ vivacious” because missing: agreeable, serious.
",0,3
"Facts:  Alice is naughty [PERIOD]
Rules:
glamorous [IMPLY] messy [PERIOD]
intellectual [AND] bossy [AND] naughty [IMPLY] messy [PERIOD]
outrageous [AND] naughty [AND] glamorous [IMPLY] messy [PERIOD]
bossy [IMPLY] intellectual [PERIOD]
intellectual [AND] naughty [AND] glamorous [IMPLY] outrageous [PERIOD]
glamorous [AND] intellectual [IMPLY] outrageous [PERIOD]
intellectual [AND] friendly [IMPLY] bossy [PERIOD]
naughty [AND] outrageous [AND] glamorous [IMPLY] bossy [PERIOD]
bossy [AND] naughty [IMPLY] glamorous [PERIOD]
messy [AND] naughty [IMPLY] intellectual [PERIOD]
outrageous [AND] messy [IMPLY] bossy [PERIOD]
naughty [IMPLY] intellectual [PERIOD]
outrageous [AND] naughty [IMPLY] bossy [PERIOD]
outrageous [AND] friendly [IMPLY] messy [PERIOD]
friendly [AND] outrageous [IMPLY] naughty [PERIOD]
glamorous [IMPLY] bossy [PERIOD]
glamorous [AND] naughty [IMPLY] bossy [PERIOD]
bossy [AND] outrageous [AND] intellectual [IMPLY] friendly [PERIOD]
naughty [AND] outrageous [IMPLY] intellectual [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   naughty ⇒ intellectual
   Cannot apply rule “intellectual ∧ friendly ⇒ bossy” because missing: friendly.
   Cannot apply rule “naughty ∧ outrageous ∧ glamorous ⇒ bossy” because missing: outrageous, glamorous.
   Cannot apply rule “outrageous ∧ messy ⇒ bossy” because missing: outrageous, messy.
   Cannot apply rule “outrageous ∧ naughty ⇒ bossy” because missing: outrageous.
   Cannot apply rule “glamorous ⇒ bossy” because missing: glamorous.
   Cannot apply rule “glamorous ∧ naughty ⇒ bossy” because missing: glamorous.
",0,7
"Facts:  Alice is busy [PERIOD]
Rules:
enchanting [AND] gifted [AND] friendly [IMPLY] frantic [PERIOD]
shy [AND] distinct [AND] enchanting [IMPLY] careless [PERIOD]
silly [AND] troubled [IMPLY] enchanting [PERIOD]
frantic [AND] shy [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] blushing [PERIOD]
thoughtful [AND] blushing [AND] tender [IMPLY] troubled [PERIOD]
frantic [AND] enchanting [AND] impartial [IMPLY] tender [PERIOD]
reserved [IMPLY] enchanting [PERIOD]
enchanting [AND] tender [AND] thoughtful [IMPLY] troubled [PERIOD]
reserved [AND] troubled [IMPLY] easy [PERIOD]
shy [AND] silly [AND] friendly [IMPLY] tender [PERIOD]
easy [AND] friendly [AND] silly [IMPLY] careless [PERIOD]
gifted [AND] amused [IMPLY] frantic [PERIOD]
tender [AND] gifted [IMPLY] frantic [PERIOD]
grumpy [AND] tender [AND] careless [IMPLY] busy [PERIOD]
blushing [AND] thoughtful [AND] attractive [IMPLY] silly [PERIOD]
tender [AND] impartial [IMPLY] silly [PERIOD]
easy [AND] careless [AND] distinct [IMPLY] tender [PERIOD]
friendly [IMPLY] distinct [PERIOD]
amused [AND] distinct [AND] blushing [IMPLY] reserved [PERIOD]
gifted [AND] attractive [IMPLY] friendly [PERIOD]
thoughtful [AND] easy [AND] troubled [IMPLY] amused [PERIOD]
grumpy [AND] busy [AND] amused [IMPLY] reserved [PERIOD]
careless [AND] shy [AND] silly [IMPLY] distinct [PERIOD]
frantic [IMPLY] gifted [PERIOD]
enchanting [IMPLY] attractive [PERIOD]
tender [AND] amused [IMPLY] troubled [PERIOD]
busy [IMPLY] thoughtful [PERIOD]
tender [IMPLY] silly [PERIOD]
friendly [IMPLY] attractive [PERIOD]
grumpy [AND] troubled [AND] blushing [IMPLY] silly [PERIOD]
careless [AND] easy [AND] gifted [IMPLY] tender [PERIOD]
careless [AND] frantic [IMPLY] impartial [PERIOD]
shy [IMPLY] frantic [PERIOD]
tender [AND] attractive [AND] grumpy [IMPLY] gifted [PERIOD]
gifted [AND] grumpy [IMPLY] distinct [PERIOD]
frantic [AND] amused [AND] careless [IMPLY] troubled [PERIOD]
careless [AND] amused [AND] attractive [IMPLY] troubled [PERIOD]
distinct [AND] blushing [IMPLY] frantic [PERIOD]
enchanting [AND] careless [AND] thoughtful [IMPLY] gifted [PERIOD]
easy [AND] attractive [IMPLY] busy [PERIOD]
careless [AND] blushing [IMPLY] thoughtful [PERIOD]
easy [AND] shy [IMPLY] enchanting [PERIOD]
gifted [IMPLY] silly [PERIOD]
frantic [AND] enchanting [AND] troubled [IMPLY] friendly [PERIOD]
busy [AND] easy [IMPLY] careless [PERIOD]
attractive [AND] shy [IMPLY] easy [PERIOD]
enchanting [IMPLY] troubled [PERIOD]
thoughtful [AND] friendly [IMPLY] blushing [PERIOD]
reserved [AND] grumpy [AND] shy [IMPLY] impartial [PERIOD]
distinct [AND] enchanting [IMPLY] tender [PERIOD]
easy [IMPLY] tender [PERIOD]
tender [IMPLY] grumpy [PERIOD]
silly [AND] grumpy [AND] distinct [IMPLY] friendly [PERIOD]
enchanting [AND] silly [AND] busy [IMPLY] gifted [PERIOD]
attractive [AND] distinct [IMPLY] careless [PERIOD]
blushing [IMPLY] reserved [PERIOD]
easy [IMPLY] distinct [PERIOD]
impartial [IMPLY] grumpy [PERIOD]
attractive [AND] reserved [IMPLY] shy [PERIOD]
careless [IMPLY] distinct [PERIOD]
blushing [AND] reserved [IMPLY] impartial [PERIOD]
thoughtful [AND] busy [IMPLY] enchanting [PERIOD]
amused [AND] easy [IMPLY] attractive [PERIOD]
gifted [AND] careless [IMPLY] troubled [PERIOD]
grumpy [AND] thoughtful [IMPLY] blushing [PERIOD]
tender [AND] amused [IMPLY] careless [PERIOD]
tender [IMPLY] reserved [PERIOD]
gifted [IMPLY] distinct [PERIOD]
easy [IMPLY] shy [PERIOD]
easy [AND] friendly [AND] careless [IMPLY] distinct [PERIOD]
tender [AND] easy [IMPLY] friendly [PERIOD]
attractive [AND] gifted [IMPLY] enchanting [PERIOD]
easy [IMPLY] gifted [PERIOD]
grumpy [AND] frantic [AND] tender [IMPLY] amused [PERIOD]
blushing [IMPLY] impartial [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   busy ⇒ thoughtful
   thoughtful ∧ busy ⇒ enchanting
   Cannot apply rule “enchanting ∧ gifted ∧ friendly ⇒ frantic” because missing: gifted, friendly.
   Cannot apply rule “gifted ∧ amused ⇒ frantic” because missing: gifted, amused.
   Cannot apply rule “tender ∧ gifted ⇒ frantic” because missing: tender, gifted.
   Cannot apply rule “shy ⇒ frantic” because missing: shy.
   Cannot apply rule “distinct ∧ blushing ⇒ frantic” because missing: distinct, blushing.
",0,7
"Facts:  Alice is thoughtless [PERIOD] Alice is enchanting [PERIOD] Alice is friendly [PERIOD] Alice is clumsy [PERIOD] Alice is bossy [PERIOD] Alice is stubborn [PERIOD] Alice is tame [PERIOD] Alice is worried [PERIOD] Alice is agreeable [PERIOD] Alice is busy [PERIOD] Alice is weary [PERIOD] Alice is proud [PERIOD] Alice is confident [PERIOD] Alice is polite [PERIOD] Alice is easy [PERIOD] Alice is popular [PERIOD] Alice is cooperative [PERIOD] Alice is lucky [PERIOD]
Rules:
clumsy [AND] thoughtless [AND] polite [IMPLY] enchanting [PERIOD]
famous [AND] stubborn [AND] thoughtless [IMPLY] bossy [PERIOD]
worried [AND] thoughtless [AND] weary [IMPLY] stubborn [PERIOD]
stubborn [AND] agreeable [IMPLY] easy [PERIOD]
worried [IMPLY] cooperative [PERIOD]
easy [AND] agreeable [AND] thoughtless [IMPLY] bossy [PERIOD]
cooperative [AND] clumsy [IMPLY] weary [PERIOD]
agreeable [IMPLY] stubborn [PERIOD]
tame [AND] diplomatic [AND] enchanting [IMPLY] famous [PERIOD]
worried [IMPLY] confident [PERIOD]
cooperative [IMPLY] agreeable [PERIOD]
famous [IMPLY] thoughtless [PERIOD]
agreeable [AND] lucky [AND] famous [IMPLY] diplomatic [PERIOD]
cooperative [AND] thoughtless [IMPLY] enchanting [PERIOD]
agreeable [AND] polite [AND] easy [IMPLY] weary [PERIOD]
diplomatic [AND] friendly [IMPLY] proud [PERIOD]
confident [IMPLY] lucky [PERIOD]
proud [IMPLY] lucky [PERIOD]
clumsy [AND] confident [IMPLY] lucky [PERIOD]
thoughtless [AND] tame [IMPLY] cooperative [PERIOD]
popular [IMPLY] stubborn [PERIOD]
bossy [AND] cooperative [IMPLY] worried [PERIOD]
famous [AND] thoughtless [AND] bossy [IMPLY] diplomatic [PERIOD]
proud [AND] bossy [IMPLY] clumsy [PERIOD]
easy [IMPLY] cooperative [PERIOD]
worried [AND] weary [AND] friendly [IMPLY] popular [PERIOD]
agreeable [AND] famous [IMPLY] thoughtless [PERIOD]
weary [AND] thoughtless [AND] famous [IMPLY] diplomatic [PERIOD]
easy [IMPLY] agreeable [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is messy [PERIOD] Alice is excited [PERIOD] Alice is agreeable [PERIOD]
Rules:
agreeable [AND] enchanting [IMPLY] elated [PERIOD]
busy [AND] excited [IMPLY] tender [PERIOD]
elated [IMPLY] busy [PERIOD]
messy [AND] enchanting [IMPLY] elated [PERIOD]
agreeable [IMPLY] excited [PERIOD]
tender [AND] shy [AND] comfortable [IMPLY] fearless [PERIOD]
messy [IMPLY] silly [PERIOD]
busy [IMPLY] blushing [PERIOD]
comfortable [AND] blushing [IMPLY] agreeable [PERIOD]
excited [AND] silly [IMPLY] stubborn [PERIOD]
enchanting [IMPLY] silly [PERIOD]
blushing [IMPLY] messy [PERIOD]
comfortable [AND] excited [IMPLY] messy [PERIOD]
tender [IMPLY] enchanting [PERIOD]
stubborn [IMPLY] enchanting [PERIOD]
messy [AND] agreeable [AND] stubborn [IMPLY] fearless [PERIOD]
excited [IMPLY] fearless [PERIOD]
excited [AND] elated [IMPLY] stubborn [PERIOD]
fearless [AND] excited [IMPLY] stubborn [PERIOD]
elated [AND] stubborn [IMPLY] comfortable [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   excited ⇒ fearless
   fearless ∧ excited ⇒ stubborn
   stubborn ⇒ enchanting
   agreeable ∧ enchanting ⇒ elated
   excited ⇒ fearless
   fearless ∧ excited ⇒ stubborn
   elated ∧ stubborn ⇒ comfortable
",1,7
"Facts:  Alice is mean [PERIOD] Alice is ambitious [PERIOD] Alice is rational [PERIOD] Alice is messy [PERIOD] Alice is sleepy [PERIOD] Alice is cute [PERIOD] Alice is bored [PERIOD] Alice is confident [PERIOD] Alice is clumsy [PERIOD] Alice is uptight [PERIOD] Alice is spotless [PERIOD] Alice is diplomatic [PERIOD] Alice is exuberant [PERIOD] Alice is comfortable [PERIOD] Alice is quaint [PERIOD] Alice is talkative [PERIOD] Alice is hypocritical [PERIOD] Alice is bright [PERIOD] Alice is unpleasant [PERIOD] Alice is shiny [PERIOD] Alice is scared [PERIOD] Alice is different [PERIOD]
Rules:
unpleasant [AND] quaint [AND] bright [IMPLY] ambitious [PERIOD]
quaint [AND] shiny [IMPLY] cooperative [PERIOD]
ugliest [AND] ambitious [IMPLY] scared [PERIOD]
exuberant [AND] sleepy [IMPLY] cruel [PERIOD]
attentive [AND] confident [AND] bright [IMPLY] ambitious [PERIOD]
attentive [IMPLY] cute [PERIOD]
diplomatic [AND] comfortable [IMPLY] confident [PERIOD]
comfortable [AND] rational [IMPLY] cooperative [PERIOD]
unpleasant [AND] shiny [AND] diplomatic [IMPLY] scared [PERIOD]
exuberant [AND] uptight [IMPLY] proud [PERIOD]
bored [AND] different [IMPLY] uptight [PERIOD]
proud [AND] spotless [AND] ambitious [IMPLY] messy [PERIOD]
exuberant [AND] bored [AND] cooperative [IMPLY] cute [PERIOD]
cute [AND] messy [IMPLY] rational [PERIOD]
spotless [AND] bright [AND] attentive [IMPLY] rational [PERIOD]
bright [AND] exuberant [AND] cruel [IMPLY] dull [PERIOD]
shiny [IMPLY] sleepy [PERIOD]
scared [AND] ambitious [IMPLY] mean [PERIOD]
broad-minded [IMPLY] scared [PERIOD]
messy [AND] cooperative [AND] talkative [IMPLY] quaint [PERIOD]
clumsy [IMPLY] proud [PERIOD]
mean [AND] cruel [AND] uptight [IMPLY] ambitious [PERIOD]
uptight [AND] exuberant [AND] spotless [IMPLY] cooperative [PERIOD]
ambitious [AND] cooperative [AND] clumsy [IMPLY] comfortable [PERIOD]
spotless [AND] clumsy [AND] shiny [IMPLY] comfortable [PERIOD]
rational [AND] sleepy [IMPLY] messy [PERIOD]
different [IMPLY] rational [PERIOD]
bored [AND] rational [AND] comfortable [IMPLY] talkative [PERIOD]
cute [AND] spotless [IMPLY] confident [PERIOD]
messy [IMPLY] exuberant [PERIOD]
ambitious [IMPLY] broad-minded [PERIOD]
bored [IMPLY] bright [PERIOD]
messy [IMPLY] uptight [PERIOD]
dull [AND] broad-minded [AND] messy [IMPLY] uptight [PERIOD]
rational [AND] bright [IMPLY] sleepy [PERIOD]
spotless [AND] sleepy [AND] dull [IMPLY] bored [PERIOD]
quaint [IMPLY] cruel [PERIOD]
confident [IMPLY] scared [PERIOD]
sleepy [AND] hypocritical [IMPLY] exuberant [PERIOD]
cute [IMPLY] proud [PERIOD]
dull [AND] different [IMPLY] cooperative [PERIOD]
dull [AND] diplomatic [AND] hypocritical [IMPLY] cruel [PERIOD]
confident [AND] talkative [AND] quaint [IMPLY] bored [PERIOD]
spotless [AND] dull [AND] exuberant [IMPLY] ugliest [PERIOD]
talkative [AND] broad-minded [AND] messy [IMPLY] exuberant [PERIOD]
diplomatic [IMPLY] dull [PERIOD]
ugliest [IMPLY] shiny [PERIOD]
messy [AND] attentive [AND] cooperative [IMPLY] hypocritical [PERIOD]
cute [AND] confident [IMPLY] spotless [PERIOD]
cruel [AND] rational [AND] hypocritical [IMPLY] talkative [PERIOD]
ambitious [IMPLY] proud [PERIOD]
talkative [AND] rational [IMPLY] ambitious [PERIOD]
proud [AND] confident [AND] broad-minded [IMPLY] hypocritical [PERIOD]
bored [AND] rational [AND] cooperative [IMPLY] cute [PERIOD]
hypocritical [AND] cruel [IMPLY] proud [PERIOD]
hypocritical [AND] clumsy [AND] exuberant [IMPLY] talkative [PERIOD]
spotless [AND] diplomatic [IMPLY] rational [PERIOD]
sleepy [AND] spotless [IMPLY] bored [PERIOD]
sleepy [AND] shiny [AND] hypocritical [IMPLY] bright [PERIOD]
cruel [AND] broad-minded [IMPLY] cooperative [PERIOD]
proud [AND] cute [IMPLY] spotless [PERIOD]
messy [IMPLY] proud [PERIOD]
broad-minded [AND] confident [IMPLY] ambitious [PERIOD]
mean [AND] cooperative [IMPLY] diplomatic [PERIOD]
broad-minded [AND] cute [IMPLY] cruel [PERIOD]
confident [AND] quaint [IMPLY] clumsy [PERIOD]
exuberant [IMPLY] comfortable [PERIOD]
bored [AND] clumsy [AND] different [IMPLY] quaint [PERIOD]
shiny [IMPLY] diplomatic [PERIOD]
messy [AND] shiny [IMPLY] cute [PERIOD]
mean [AND] comfortable [IMPLY] sleepy [PERIOD]
cooperative [IMPLY] confident [PERIOD]
unpleasant [AND] exuberant [AND] cruel [IMPLY] scared [PERIOD]
scared [AND] attentive [AND] exuberant [IMPLY] rational [PERIOD]
quaint [IMPLY] attentive [PERIOD]
talkative [IMPLY] dull [PERIOD]
ambitious [AND] ugliest [AND] scared [IMPLY] rational [PERIOD]
scared [IMPLY] uptight [PERIOD]
diplomatic [IMPLY] proud [PERIOD]
confident [AND] unpleasant [AND] exuberant [IMPLY] sleepy [PERIOD]
clumsy [AND] shiny [AND] dull [IMPLY] cute [PERIOD]
ambitious [IMPLY] bright [PERIOD]
sleepy [AND] bored [IMPLY] cruel [PERIOD]
cooperative [IMPLY] shiny [PERIOD]
diplomatic [AND] dull [IMPLY] shiny [PERIOD]
hypocritical [AND] unpleasant [IMPLY] proud [PERIOD]
talkative [AND] proud [IMPLY] exuberant [PERIOD]
cooperative [AND] diplomatic [AND] cute [IMPLY] mean [PERIOD]
bright [AND] spotless [IMPLY] diplomatic [PERIOD]
hypocritical [AND] ambitious [IMPLY] quaint [PERIOD]
sleepy [AND] cute [IMPLY] cruel [PERIOD]
cute [AND] rational [AND] comfortable [IMPLY] different [PERIOD]
sleepy [AND] broad-minded [IMPLY] dull [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
sleepy [AND] pleasant [AND] innocent [IMPLY] condemned [PERIOD]
straightforward [IMPLY] condemned [PERIOD]
attractive [AND] sleepy [AND] homely [IMPLY] condemned [PERIOD]
powerful [AND] innocent [IMPLY] sleepy [PERIOD]
elated [AND] outstanding [IMPLY] attractive [PERIOD]
pleasant [AND] powerful [IMPLY] condemned [PERIOD]
sleepy [IMPLY] condemned [PERIOD]
elated [AND] attractive [IMPLY] amused [PERIOD]
attractive [AND] elated [AND] sleepy [IMPLY] homely [PERIOD]
sleepy [IMPLY] amused [PERIOD]
sleepy [IMPLY] elated [PERIOD]
outstanding [AND] homely [AND] condemned [IMPLY] powerful [PERIOD]
pleasant [AND] outstanding [AND] attractive [IMPLY] powerful [PERIOD]
sleepy [AND] elated [AND] straightforward [IMPLY] innocent [PERIOD]
condemned [IMPLY] homely [PERIOD]
amused [IMPLY] straightforward [PERIOD]
powerful [AND] condemned [IMPLY] amused [PERIOD]
amused [IMPLY] powerful [PERIOD]
innocent [AND] powerful [AND] elated [IMPLY] sleepy [PERIOD]
straightforward [IMPLY] outstanding [PERIOD]
pleasant [AND] sleepy [IMPLY] straightforward [PERIOD]
elated [AND] powerful [AND] innocent [IMPLY] pleasant [PERIOD]
attractive [AND] straightforward [IMPLY] sleepy [PERIOD]
amused [AND] straightforward [AND] homely [IMPLY] attractive [PERIOD]
condemned [AND] sleepy [AND] homely [IMPLY] powerful [PERIOD]
pleasant [AND] elated [IMPLY] sleepy [PERIOD]
pleasant [IMPLY] straightforward [PERIOD]
outstanding [AND] condemned [IMPLY] innocent [PERIOD]
innocent [IMPLY] homely [PERIOD]
outstanding [AND] homely [AND] straightforward [IMPLY] amused [PERIOD]
attractive [AND] condemned [AND] straightforward [IMPLY] elated [PERIOD]
pleasant [AND] amused [IMPLY] outstanding [PERIOD]
condemned [AND] sleepy [AND] elated [IMPLY] powerful [PERIOD]
homely [AND] elated [IMPLY] outstanding [PERIOD]
condemned [AND] homely [AND] powerful [IMPLY] elated [PERIOD]
outstanding [IMPLY] attractive [PERIOD]
sleepy [AND] homely [AND] elated [IMPLY] amused [PERIOD]
sleepy [AND] homely [IMPLY] amused [PERIOD]
elated [AND] straightforward [IMPLY] outstanding [PERIOD]
innocent [AND] outstanding [AND] straightforward [IMPLY] elated [PERIOD]
outstanding [AND] attractive [AND] innocent [IMPLY] pleasant [PERIOD]
Query: Alice is powerful [PERIOD]","Proof chain:
   Cannot apply rule “outstanding ∧ homely ∧ condemned ⇒ powerful” because missing: outstanding, homely, condemned.
   Cannot apply rule “pleasant ∧ outstanding ∧ attractive ⇒ powerful” because missing: pleasant, outstanding, attractive.
   Cannot apply rule “amused ⇒ powerful” because missing: amused.
   Cannot apply rule “condemned ∧ sleepy ∧ homely ⇒ powerful” because missing: condemned, sleepy, homely.
   Cannot apply rule “condemned ∧ sleepy ∧ elated ⇒ powerful” because missing: condemned, sleepy, elated.
",0,5
"Facts:  Alice is good [PERIOD] Alice is scared [PERIOD] Alice is lucky [PERIOD] Alice is confused [PERIOD] Alice is sincere [PERIOD] Alice is fine [PERIOD] Alice is impatient [PERIOD] Alice is uptight [PERIOD] Alice is worrisome [PERIOD] Alice is outrageous [PERIOD] Alice is quaint [PERIOD] Alice is charming [PERIOD] Alice is attractive [PERIOD] Alice is tidy [PERIOD]
Rules:
excited [IMPLY] frightened [PERIOD]
good [IMPLY] scared [PERIOD]
different [AND] excited [AND] cute [IMPLY] fine [PERIOD]
charming [AND] outrageous [IMPLY] loving [PERIOD]
different [IMPLY] charming [PERIOD]
wandering [AND] loving [IMPLY] pleasant [PERIOD]
wrong [AND] pleasant [AND] worrisome [IMPLY] mean [PERIOD]
worrisome [IMPLY] scared [PERIOD]
confused [AND] wandering [AND] muddy [IMPLY] different [PERIOD]
muddy [IMPLY] naughty [PERIOD]
crowded [IMPLY] excited [PERIOD]
excited [AND] fine [IMPLY] outrageous [PERIOD]
excited [IMPLY] impatient [PERIOD]
ambitious [AND] cute [AND] fine [IMPLY] muddy [PERIOD]
ambitious [AND] pleasant [IMPLY] jittery [PERIOD]
uptight [IMPLY] wandering [PERIOD]
tidy [IMPLY] pleasant [PERIOD]
naughty [IMPLY] tidy [PERIOD]
fine [AND] modern [AND] charming [IMPLY] outrageous [PERIOD]
loving [AND] outrageous [AND] worrisome [IMPLY] crowded [PERIOD]
frightened [AND] cute [IMPLY] muddy [PERIOD]
wandering [AND] cute [IMPLY] charming [PERIOD]
jittery [IMPLY] lucky [PERIOD]
ambitious [AND] mean [AND] uptight [IMPLY] sincere [PERIOD]
modern [AND] mean [AND] confused [IMPLY] pleasant [PERIOD]
impatient [AND] scared [IMPLY] loving [PERIOD]
tidy [AND] pleasant [AND] scared [IMPLY] good [PERIOD]
wandering [AND] sincere [IMPLY] worrisome [PERIOD]
Query: Alice is modern [PERIOD]","Proof chain:
   No rule concludes “modern.”
",0,1
"Facts:  Alice is old-fashioned [PERIOD] Alice is rational [PERIOD] Alice is sensible [PERIOD] Alice is gorgeous [PERIOD] Alice is good [PERIOD]
Rules:
condemned [AND] spotless [IMPLY] old-fashioned [PERIOD]
pessimistic [IMPLY] worried [PERIOD]
pessimistic [IMPLY] clumsy [PERIOD]
rational [AND] plain [AND] sensible [IMPLY] charming [PERIOD]
old-fashioned [AND] inquisitive [IMPLY] condemned [PERIOD]
clumsy [AND] pessimistic [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] charming [IMPLY] worried [PERIOD]
sincere [AND] wide-eyed [IMPLY] pessimistic [PERIOD]
plain [AND] gorgeous [IMPLY] fancy [PERIOD]
crowded [AND] pessimistic [AND] spotless [IMPLY] gorgeous [PERIOD]
gorgeous [AND] charming [IMPLY] wide-eyed [PERIOD]
inquisitive [IMPLY] condemned [PERIOD]
good [AND] worried [AND] clumsy [IMPLY] gorgeous [PERIOD]
zealous [AND] inquisitive [AND] good [IMPLY] pessimistic [PERIOD]
clumsy [IMPLY] condemned [PERIOD]
crowded [AND] old-fashioned [IMPLY] pessimistic [PERIOD]
worried [AND] zealous [IMPLY] sincere [PERIOD]
good [IMPLY] inquisitive [PERIOD]
gorgeous [AND] worried [AND] fancy [IMPLY] wide-eyed [PERIOD]
good [AND] sensible [AND] plain [IMPLY] rational [PERIOD]
sensible [IMPLY] pessimistic [PERIOD]
plain [IMPLY] spotless [PERIOD]
rational [AND] clumsy [AND] sensible [IMPLY] condemned [PERIOD]
curious [AND] good [AND] sincere [IMPLY] worried [PERIOD]
condemned [IMPLY] clumsy [PERIOD]
curious [AND] clumsy [IMPLY] gorgeous [PERIOD]
good [AND] pessimistic [AND] worried [IMPLY] sincere [PERIOD]
zealous [AND] inquisitive [AND] rational [IMPLY] curious [PERIOD]
good [AND] gorgeous [AND] curious [IMPLY] wide-eyed [PERIOD]
gorgeous [AND] clumsy [IMPLY] fancy [PERIOD]
sensible [AND] gorgeous [AND] charming [IMPLY] curious [PERIOD]
wide-eyed [AND] clumsy [IMPLY] sincere [PERIOD]
sensible [IMPLY] condemned [PERIOD]
good [AND] curious [AND] rational [IMPLY] old-fashioned [PERIOD]
plain [AND] pessimistic [AND] fancy [IMPLY] sensible [PERIOD]
crowded [AND] condemned [AND] inquisitive [IMPLY] worried [PERIOD]
sincere [AND] crowded [IMPLY] spotless [PERIOD]
clumsy [IMPLY] good [PERIOD]
good [AND] rational [AND] sensible [IMPLY] curious [PERIOD]
good [AND] clumsy [AND] curious [IMPLY] sincere [PERIOD]
zealous [AND] gorgeous [IMPLY] old-fashioned [PERIOD]
rational [IMPLY] good [PERIOD]
wide-eyed [AND] old-fashioned [IMPLY] sincere [PERIOD]
charming [AND] spotless [AND] crowded [IMPLY] worried [PERIOD]
crowded [AND] fancy [IMPLY] worried [PERIOD]
pessimistic [IMPLY] plain [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
   sensible ⇒ pessimistic
   pessimistic ⇒ plain
   rational ∧ plain ∧ sensible ⇒ charming
",1,3
"Facts:  Alice is light [PERIOD] Alice is stubborn [PERIOD] Alice is clumsy [PERIOD] Alice is frightened [PERIOD] Alice is impartial [PERIOD] Alice is polite [PERIOD] Alice is inquisitive [PERIOD] Alice is precious [PERIOD] Alice is fearless [PERIOD]
Rules:
precious [AND] light [IMPLY] clumsy [PERIOD]
inquisitive [AND] fancy [AND] outstanding [IMPLY] impartial [PERIOD]
ambitious [AND] ugliest [IMPLY] perfect [PERIOD]
clumsy [IMPLY] fragile [PERIOD]
easy [AND] ambitious [IMPLY] thoughtful [PERIOD]
precious [AND] curious [AND] elegant [IMPLY] calm [PERIOD]
fearless [AND] fragile [AND] curious [IMPLY] precious [PERIOD]
curious [AND] talented [IMPLY] fancy [PERIOD]
talented [AND] clumsy [AND] elegant [IMPLY] fearless [PERIOD]
curious [AND] ugliest [IMPLY] horrible [PERIOD]
precious [AND] fine [IMPLY] thoughtful [PERIOD]
ambitious [IMPLY] talented [PERIOD]
fragile [IMPLY] precious [PERIOD]
inquisitive [AND] old-fashioned [AND] dishonest [IMPLY] elegant [PERIOD]
thoughtful [AND] fearless [IMPLY] clumsy [PERIOD]
fine [AND] curious [IMPLY] stubborn [PERIOD]
elegant [AND] precious [IMPLY] horrible [PERIOD]
elegant [AND] frightened [IMPLY] dishonest [PERIOD]
dishonest [IMPLY] stubborn [PERIOD]
ugliest [AND] frantic [AND] horrible [IMPLY] light [PERIOD]
ambitious [AND] busy [AND] jittery [IMPLY] elegant [PERIOD]
precious [IMPLY] fearless [PERIOD]
stubborn [AND] fine [AND] outstanding [IMPLY] busy [PERIOD]
busy [AND] clumsy [IMPLY] talented [PERIOD]
dishonest [AND] ambitious [IMPLY] calm [PERIOD]
perfect [IMPLY] inquisitive [PERIOD]
fragile [IMPLY] inquisitive [PERIOD]
busy [AND] jittery [IMPLY] dishonest [PERIOD]
curious [AND] inquisitive [IMPLY] old-fashioned [PERIOD]
frightened [AND] inquisitive [AND] impartial [IMPLY] disobedient [PERIOD]
calm [AND] disobedient [IMPLY] inquisitive [PERIOD]
fearless [AND] inquisitive [IMPLY] frantic [PERIOD]
outstanding [AND] fragile [AND] ambitious [IMPLY] fearless [PERIOD]
stubborn [IMPLY] perfect [PERIOD]
elegant [AND] frightened [IMPLY] light [PERIOD]
fearless [AND] fancy [AND] dishonest [IMPLY] outstanding [PERIOD]
ambitious [AND] horrible [AND] thoughtful [IMPLY] busy [PERIOD]
busy [AND] horrible [AND] frantic [IMPLY] calm [PERIOD]
light [AND] fragile [IMPLY] talented [PERIOD]
fancy [AND] light [IMPLY] elegant [PERIOD]
calm [AND] old-fashioned [AND] precious [IMPLY] fearless [PERIOD]
talented [IMPLY] elegant [PERIOD]
impartial [AND] curious [AND] frantic [IMPLY] horrible [PERIOD]
stubborn [AND] light [IMPLY] jittery [PERIOD]
inquisitive [AND] calm [IMPLY] fearless [PERIOD]
dishonest [AND] busy [AND] talented [IMPLY] impartial [PERIOD]
clumsy [AND] ugliest [AND] stubborn [IMPLY] precious [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   clumsy ⇒ fragile
   light ∧ fragile ⇒ talented
   talented ⇒ elegant
   elegant ∧ frightened ⇒ dishonest
   Cannot apply rule “fearless ∧ fancy ∧ dishonest ⇒ outstanding” because missing: fancy.
",0,5
"Facts:  Alice is diplomatic [PERIOD] Alice is outrageous [PERIOD] Alice is impatient [PERIOD] Alice is messy [PERIOD] Alice is dull [PERIOD] Alice is serious [PERIOD] Alice is comfortable [PERIOD] Alice is agreeable [PERIOD] Alice is ugly [PERIOD] Alice is lonely [PERIOD] Alice is beautiful [PERIOD] Alice is bossy [PERIOD] Alice is combative [PERIOD]
Rules:
lonely [AND] ugly [IMPLY] diplomatic [PERIOD]
serious [AND] confused [AND] messy [IMPLY] broad-minded [PERIOD]
cooperative [AND] agreeable [IMPLY] broad-minded [PERIOD]
unpleasant [AND] bossy [AND] outrageous [IMPLY] impatient [PERIOD]
lonely [AND] agreeable [AND] unpleasant [IMPLY] beautiful [PERIOD]
dull [IMPLY] cooperative [PERIOD]
serious [IMPLY] bossy [PERIOD]
serious [IMPLY] beautiful [PERIOD]
outrageous [AND] comfortable [IMPLY] ugly [PERIOD]
diplomatic [AND] combative [AND] ugly [IMPLY] beautiful [PERIOD]
ugly [AND] broad-minded [AND] bossy [IMPLY] beautiful [PERIOD]
dull [AND] agreeable [AND] unpleasant [IMPLY] outrageous [PERIOD]
ugly [AND] diplomatic [AND] lonely [IMPLY] dull [PERIOD]
impatient [IMPLY] outrageous [PERIOD]
outrageous [AND] agreeable [AND] unpleasant [IMPLY] cooperative [PERIOD]
cooperative [AND] lonely [IMPLY] beautiful [PERIOD]
broad-minded [AND] dull [AND] beautiful [IMPLY] bossy [PERIOD]
serious [AND] outrageous [AND] comfortable [IMPLY] unpleasant [PERIOD]
comfortable [IMPLY] impatient [PERIOD]
dull [AND] beautiful [AND] cooperative [IMPLY] confused [PERIOD]
broad-minded [AND] ugly [IMPLY] serious [PERIOD]
impatient [AND] serious [AND] ugly [IMPLY] cooperative [PERIOD]
comfortable [IMPLY] confused [PERIOD]
dull [AND] comfortable [AND] agreeable [IMPLY] outrageous [PERIOD]
beautiful [IMPLY] lonely [PERIOD]
beautiful [AND] unpleasant [AND] agreeable [IMPLY] bossy [PERIOD]
diplomatic [IMPLY] cooperative [PERIOD]
messy [IMPLY] diplomatic [PERIOD]
beautiful [IMPLY] ugly [PERIOD]
outrageous [AND] bossy [AND] ugly [IMPLY] broad-minded [PERIOD]
messy [IMPLY] impatient [PERIOD]
serious [AND] combative [IMPLY] comfortable [PERIOD]
cooperative [AND] combative [AND] diplomatic [IMPLY] bossy [PERIOD]
beautiful [AND] messy [AND] unpleasant [IMPLY] diplomatic [PERIOD]
broad-minded [AND] ugly [AND] diplomatic [IMPLY] agreeable [PERIOD]
agreeable [AND] bossy [IMPLY] ugly [PERIOD]
outrageous [AND] dull [IMPLY] confused [PERIOD]
impatient [AND] comfortable [AND] agreeable [IMPLY] confused [PERIOD]
impatient [IMPLY] bossy [PERIOD]
diplomatic [IMPLY] lonely [PERIOD]
confused [IMPLY] lonely [PERIOD]
serious [AND] impatient [IMPLY] messy [PERIOD]
combative [AND] unpleasant [AND] messy [IMPLY] bossy [PERIOD]
broad-minded [AND] outrageous [IMPLY] diplomatic [PERIOD]
beautiful [AND] outrageous [IMPLY] unpleasant [PERIOD]
messy [IMPLY] dull [PERIOD]
diplomatic [IMPLY] ugly [PERIOD]
comfortable [IMPLY] cooperative [PERIOD]
confused [AND] cooperative [IMPLY] comfortable [PERIOD]
serious [AND] ugly [AND] comfortable [IMPLY] combative [PERIOD]
diplomatic [IMPLY] combative [PERIOD]
outrageous [AND] agreeable [AND] dull [IMPLY] confused [PERIOD]
beautiful [AND] cooperative [IMPLY] bossy [PERIOD]
beautiful [IMPLY] comfortable [PERIOD]
ugly [AND] broad-minded [AND] messy [IMPLY] diplomatic [PERIOD]
serious [IMPLY] unpleasant [PERIOD]
outrageous [AND] broad-minded [AND] diplomatic [IMPLY] cooperative [PERIOD]
cooperative [AND] ugly [IMPLY] serious [PERIOD]
bossy [AND] lonely [AND] impatient [IMPLY] agreeable [PERIOD]
lonely [AND] serious [IMPLY] combative [PERIOD]
comfortable [AND] confused [IMPLY] diplomatic [PERIOD]
outrageous [AND] agreeable [AND] cooperative [IMPLY] beautiful [PERIOD]
agreeable [IMPLY] impatient [PERIOD]
lonely [AND] bossy [IMPLY] confused [PERIOD]
confused [AND] lonely [IMPLY] serious [PERIOD]
bossy [AND] confused [IMPLY] outrageous [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is selfish [PERIOD] Alice is tired [PERIOD]
Rules:
glamorous [AND] selfish [AND] elegant [IMPLY] tired [PERIOD]
unpleasant [AND] glamorous [IMPLY] selfish [PERIOD]
glamorous [AND] elegant [IMPLY] tired [PERIOD]
glamorous [AND] tired [IMPLY] elegant [PERIOD]
selfish [AND] elegant [IMPLY] unpleasant [PERIOD]
selfish [AND] elegant [AND] unpleasant [IMPLY] glamorous [PERIOD]
tired [IMPLY] unpleasant [PERIOD]
elegant [IMPLY] tired [PERIOD]
unpleasant [AND] elegant [AND] tired [IMPLY] precious [PERIOD]
glamorous [IMPLY] elegant [PERIOD]
tired [AND] elegant [IMPLY] unpleasant [PERIOD]
selfish [AND] precious [AND] glamorous [IMPLY] tired [PERIOD]
selfish [AND] elegant [IMPLY] precious [PERIOD]
elegant [AND] precious [AND] tired [IMPLY] unpleasant [PERIOD]
tired [AND] precious [IMPLY] selfish [PERIOD]
selfish [AND] precious [IMPLY] unpleasant [PERIOD]
precious [AND] elegant [AND] unpleasant [IMPLY] selfish [PERIOD]
tired [AND] selfish [IMPLY] glamorous [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
   tired ⇒ unpleasant
   tired ∧ selfish ⇒ glamorous
   glamorous ∧ tired ⇒ elegant
   unpleasant ∧ elegant ∧ tired ⇒ precious
",1,4
"Facts:  Alice is clumsy [PERIOD] Alice is talented [PERIOD]
Rules:
shiny [IMPLY] perfect [PERIOD]
shiny [IMPLY] calm [PERIOD]
helpless [AND] clumsy [IMPLY] shiny [PERIOD]
helpless [AND] gleaming [IMPLY] shiny [PERIOD]
agreeable [AND] stupid [AND] sensible [IMPLY] hilarious [PERIOD]
shiny [IMPLY] foolish [PERIOD]
foolish [AND] agreeable [AND] clumsy [IMPLY] hilarious [PERIOD]
glamorous [AND] frail [AND] stupid [IMPLY] foolish [PERIOD]
excited [AND] helpless [IMPLY] agreeable [PERIOD]
glamorous [AND] frail [AND] stupid [IMPLY] talented [PERIOD]
calm [AND] sensible [AND] stupid [IMPLY] foolish [PERIOD]
shiny [IMPLY] gleaming [PERIOD]
stupid [AND] clumsy [IMPLY] agreeable [PERIOD]
frail [IMPLY] sensible [PERIOD]
stupid [IMPLY] glamorous [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   Cannot apply rule “helpless ∧ clumsy ⇒ shiny” because missing: helpless.
   Cannot apply rule “helpless ∧ gleaming ⇒ shiny” because missing: helpless, gleaming.
",0,2
"Facts:  Alice is embarrassed [PERIOD]
Rules:
spotless [AND] comfortable [IMPLY] bossy [PERIOD]
comfortable [AND] embarrassed [IMPLY] bossy [PERIOD]
anxious [AND] comfortable [IMPLY] exuberant [PERIOD]
embarrassed [IMPLY] troubled [PERIOD]
embarrassed [AND] bossy [AND] bored [IMPLY] exuberant [PERIOD]
exuberant [AND] anxious [AND] bored [IMPLY] bossy [PERIOD]
attractive [AND] exuberant [IMPLY] embarrassed [PERIOD]
different [AND] bossy [IMPLY] bored [PERIOD]
bossy [IMPLY] spotless [PERIOD]
comfortable [AND] different [AND] bossy [IMPLY] attractive [PERIOD]
bored [AND] attractive [IMPLY] troubled [PERIOD]
comfortable [AND] troubled [IMPLY] spotless [PERIOD]
anxious [AND] embarrassed [IMPLY] different [PERIOD]
bossy [AND] embarrassed [IMPLY] anxious [PERIOD]
bossy [AND] troubled [AND] attractive [IMPLY] spotless [PERIOD]
attractive [AND] embarrassed [AND] exuberant [IMPLY] troubled [PERIOD]
comfortable [IMPLY] embarrassed [PERIOD]
bored [IMPLY] exuberant [PERIOD]
anxious [AND] bossy [IMPLY] comfortable [PERIOD]
comfortable [AND] troubled [IMPLY] exuberant [PERIOD]
bossy [IMPLY] exuberant [PERIOD]
exuberant [AND] bored [IMPLY] spotless [PERIOD]
exuberant [IMPLY] anxious [PERIOD]
different [AND] exuberant [IMPLY] bossy [PERIOD]
different [IMPLY] comfortable [PERIOD]
troubled [AND] bored [AND] bossy [IMPLY] spotless [PERIOD]
exuberant [IMPLY] comfortable [PERIOD]
attractive [AND] bored [IMPLY] anxious [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   Cannot apply rule “bossy ∧ embarrassed ⇒ anxious” because missing: bossy.
   Cannot apply rule “exuberant ⇒ anxious” because missing: exuberant.
   Cannot apply rule “attractive ∧ bored ⇒ anxious” because missing: attractive, bored.
",0,3
"Facts:  Alice is impatient [PERIOD] Alice is worrisome [PERIOD] Alice is innocent [PERIOD]
Rules:
worrisome [AND] elegant [AND] horrible [IMPLY] uptight [PERIOD]
mean [IMPLY] worrisome [PERIOD]
impatient [IMPLY] mean [PERIOD]
uptight [IMPLY] mean [PERIOD]
innocent [AND] impatient [AND] mean [IMPLY] worrisome [PERIOD]
horrible [AND] elated [IMPLY] worrisome [PERIOD]
horrible [IMPLY] elegant [PERIOD]
mean [IMPLY] innocent [PERIOD]
elegant [IMPLY] horrible [PERIOD]
elegant [AND] worrisome [IMPLY] innocent [PERIOD]
worrisome [AND] impatient [IMPLY] innocent [PERIOD]
mean [AND] elegant [IMPLY] horrible [PERIOD]
worrisome [AND] elegant [IMPLY] impatient [PERIOD]
horrible [AND] mean [IMPLY] hypocritical [PERIOD]
uptight [IMPLY] worrisome [PERIOD]
elegant [AND] mean [AND] horrible [IMPLY] worrisome [PERIOD]
innocent [AND] elegant [IMPLY] mean [PERIOD]
uptight [AND] innocent [AND] worrisome [IMPLY] elated [PERIOD]
innocent [AND] mean [AND] hypocritical [IMPLY] elegant [PERIOD]
worrisome [IMPLY] innocent [PERIOD]
uptight [AND] elated [AND] worrisome [IMPLY] elegant [PERIOD]
horrible [AND] elated [IMPLY] mean [PERIOD]
horrible [AND] worrisome [AND] impatient [IMPLY] mean [PERIOD]
elated [IMPLY] horrible [PERIOD]
hypocritical [AND] uptight [IMPLY] mean [PERIOD]
elated [IMPLY] impatient [PERIOD]
hypocritical [IMPLY] innocent [PERIOD]
horrible [AND] elated [IMPLY] hypocritical [PERIOD]
uptight [AND] worrisome [IMPLY] impatient [PERIOD]
impatient [AND] innocent [IMPLY] hypocritical [PERIOD]
uptight [IMPLY] elegant [PERIOD]
elegant [AND] impatient [IMPLY] uptight [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   impatient ⇒ mean
   impatient ∧ innocent ⇒ hypocritical
   innocent ∧ mean ∧ hypocritical ⇒ elegant
   elegant ∧ impatient ⇒ uptight
",1,4
"Facts: 
Rules:
excited [AND] light [AND] beautiful [IMPLY] curious [PERIOD]
light [AND] curious [AND] agreeable [IMPLY] beautiful [PERIOD]
curious [IMPLY] excited [PERIOD]
beautiful [IMPLY] curious [PERIOD]
curious [AND] agreeable [IMPLY] beautiful [PERIOD]
light [AND] curious [IMPLY] agreeable [PERIOD]
light [AND] excited [IMPLY] beautiful [PERIOD]
excited [IMPLY] beautiful [PERIOD]
light [AND] beautiful [IMPLY] agreeable [PERIOD]
curious [AND] agreeable [AND] light [IMPLY] excited [PERIOD]
agreeable [AND] curious [IMPLY] light [PERIOD]
excited [AND] agreeable [AND] light [IMPLY] beautiful [PERIOD]
beautiful [AND] agreeable [AND] excited [IMPLY] light [PERIOD]
beautiful [AND] excited [IMPLY] agreeable [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   Cannot apply rule “curious ⇒ excited” because missing: curious.
   Cannot apply rule “curious ∧ agreeable ∧ light ⇒ excited” because missing: curious, agreeable, light.
",0,2
"Facts: 
Rules:
cruel [AND] worrisome [AND] courageous [IMPLY] smart [PERIOD]
enchanting [IMPLY] selfish [PERIOD]
anxious [IMPLY] cruel [PERIOD]
smart [AND] anxious [IMPLY] worrisome [PERIOD]
rational [AND] cruel [IMPLY] worrisome [PERIOD]
anxious [AND] selfish [IMPLY] enchanting [PERIOD]
cruel [AND] rational [AND] enchanting [IMPLY] selfish [PERIOD]
worrisome [AND] anxious [IMPLY] smart [PERIOD]
enchanting [AND] worrisome [AND] courageous [IMPLY] selfish [PERIOD]
anxious [AND] rational [AND] courageous [IMPLY] selfish [PERIOD]
anxious [IMPLY] courageous [PERIOD]
enchanting [AND] selfish [AND] worrisome [IMPLY] rational [PERIOD]
selfish [AND] enchanting [IMPLY] worrisome [PERIOD]
smart [IMPLY] rational [PERIOD]
worrisome [AND] smart [IMPLY] selfish [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   Cannot apply rule “smart ∧ anxious ⇒ worrisome” because missing: smart, anxious.
   Cannot apply rule “rational ∧ cruel ⇒ worrisome” because missing: rational, cruel.
   Cannot apply rule “selfish ∧ enchanting ⇒ worrisome” because missing: selfish, enchanting.
",0,3
"Facts:  Alice is comfortable [PERIOD] Alice is difficult [PERIOD]
Rules:
comfortable [AND] selfish [AND] difficult [IMPLY] gifted [PERIOD]
smart [AND] diplomatic [IMPLY] gifted [PERIOD]
bored [AND] comfortable [AND] selfish [IMPLY] difficult [PERIOD]
selfish [IMPLY] smart [PERIOD]
gifted [IMPLY] smart [PERIOD]
smart [AND] frail [IMPLY] difficult [PERIOD]
difficult [AND] selfish [IMPLY] smart [PERIOD]
frail [AND] gifted [AND] diplomatic [IMPLY] smart [PERIOD]
diplomatic [AND] bored [IMPLY] selfish [PERIOD]
comfortable [IMPLY] bored [PERIOD]
selfish [AND] comfortable [AND] gifted [IMPLY] difficult [PERIOD]
frail [AND] selfish [AND] comfortable [IMPLY] smart [PERIOD]
smart [AND] bored [IMPLY] comfortable [PERIOD]
bored [AND] gifted [AND] smart [IMPLY] frail [PERIOD]
frail [AND] bored [IMPLY] difficult [PERIOD]
comfortable [AND] smart [AND] difficult [IMPLY] bored [PERIOD]
smart [AND] bored [IMPLY] gifted [PERIOD]
bored [IMPLY] gifted [PERIOD]
gifted [AND] frail [IMPLY] selfish [PERIOD]
smart [AND] selfish [AND] frail [IMPLY] gifted [PERIOD]
comfortable [IMPLY] selfish [PERIOD]
gifted [AND] frail [AND] selfish [IMPLY] smart [PERIOD]
smart [IMPLY] gifted [PERIOD]
difficult [AND] smart [IMPLY] selfish [PERIOD]
smart [AND] bored [IMPLY] diplomatic [PERIOD]
selfish [AND] diplomatic [IMPLY] difficult [PERIOD]
selfish [IMPLY] difficult [PERIOD]
selfish [AND] bored [AND] diplomatic [IMPLY] gifted [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   comfortable ⇒ bored
   comfortable ⇒ bored
   bored ⇒ gifted
   comfortable ⇒ selfish
   selfish ⇒ smart
   bored ∧ gifted ∧ smart ⇒ frail
",1,6
"Facts:  Alice is easy [PERIOD] Alice is amused [PERIOD] Alice is intellectual [PERIOD] Alice is combative [PERIOD]
Rules:
agreeable [IMPLY] nervous [PERIOD]
pleasant [AND] different [AND] helpless [IMPLY] courageous [PERIOD]
old-fashioned [IMPLY] troubled [PERIOD]
different [IMPLY] inquisitive [PERIOD]
helpless [AND] amused [IMPLY] inquisitive [PERIOD]
frantic [IMPLY] helpless [PERIOD]
stubborn [AND] pleasant [IMPLY] frantic [PERIOD]
intellectual [AND] popular [AND] helpless [IMPLY] agreeable [PERIOD]
popular [IMPLY] different [PERIOD]
friendly [AND] popular [AND] frantic [IMPLY] combative [PERIOD]
stubborn [IMPLY] pleasant [PERIOD]
courageous [IMPLY] friendly [PERIOD]
inquisitive [IMPLY] careless [PERIOD]
troubled [AND] easy [AND] popular [IMPLY] foolish [PERIOD]
agreeable [AND] old-fashioned [AND] careless [IMPLY] nervous [PERIOD]
amused [AND] popular [IMPLY] troubled [PERIOD]
different [AND] nervous [AND] inquisitive [IMPLY] careless [PERIOD]
nervous [AND] courageous [AND] friendly [IMPLY] pleasant [PERIOD]
popular [AND] stubborn [AND] combative [IMPLY] agreeable [PERIOD]
pleasant [IMPLY] careless [PERIOD]
troubled [AND] courageous [AND] agreeable [IMPLY] foolish [PERIOD]
friendly [AND] different [AND] old-fashioned [IMPLY] inquisitive [PERIOD]
combative [AND] nervous [IMPLY] intellectual [PERIOD]
troubled [AND] helpless [AND] different [IMPLY] stubborn [PERIOD]
inquisitive [AND] frantic [IMPLY] troubled [PERIOD]
different [AND] foolish [AND] agreeable [IMPLY] easy [PERIOD]
agreeable [AND] courageous [AND] helpless [IMPLY] stubborn [PERIOD]
intellectual [IMPLY] friendly [PERIOD]
intellectual [AND] easy [AND] frantic [IMPLY] popular [PERIOD]
old-fashioned [AND] inquisitive [IMPLY] frantic [PERIOD]
pleasant [AND] foolish [IMPLY] frantic [PERIOD]
helpless [AND] easy [AND] agreeable [IMPLY] frantic [PERIOD]
popular [AND] nervous [AND] inquisitive [IMPLY] easy [PERIOD]
easy [IMPLY] stubborn [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   easy ⇒ stubborn
   easy ⇒ stubborn
   stubborn ⇒ pleasant
   stubborn ∧ pleasant ⇒ frantic
   intellectual ∧ easy ∧ frantic ⇒ popular
   popular ⇒ different
",1,6
"Facts: 
Rules:
rude [AND] frail [AND] curious [IMPLY] exuberant [PERIOD]
confident [IMPLY] wide-eyed [PERIOD]
exuberant [IMPLY] confident [PERIOD]
straightforward [AND] helpful [AND] victorious [IMPLY] muddy [PERIOD]
rude [AND] straightforward [IMPLY] curious [PERIOD]
helpful [IMPLY] curious [PERIOD]
exuberant [AND] muddy [IMPLY] curious [PERIOD]
straightforward [IMPLY] confident [PERIOD]
helpful [IMPLY] wide-eyed [PERIOD]
victorious [AND] straightforward [AND] helpful [IMPLY] wide-eyed [PERIOD]
rude [IMPLY] wide-eyed [PERIOD]
frail [AND] helpful [AND] rude [IMPLY] wide-eyed [PERIOD]
straightforward [IMPLY] rude [PERIOD]
rude [AND] confident [AND] muddy [IMPLY] wide-eyed [PERIOD]
rude [AND] victorious [AND] confident [IMPLY] muddy [PERIOD]
victorious [IMPLY] confident [PERIOD]
victorious [AND] rude [IMPLY] helpful [PERIOD]
exuberant [AND] helpful [AND] frail [IMPLY] curious [PERIOD]
exuberant [AND] curious [IMPLY] helpful [PERIOD]
rude [IMPLY] muddy [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   No rule concludes “frail.”
",0,1
"Facts:  Alice is victorious [PERIOD] Alice is dull [PERIOD] Alice is excited [PERIOD] Alice is joyous [PERIOD] Alice is stormy [PERIOD] Alice is anxious [PERIOD] Alice is comfortable [PERIOD] Alice is cooperative [PERIOD] Alice is elated [PERIOD] Alice is courageous [PERIOD] Alice is smart [PERIOD] Alice is blushing [PERIOD] Alice is pessimistic [PERIOD] Alice is shy [PERIOD] Alice is exuberant [PERIOD] Alice is agreeable [PERIOD] Alice is different [PERIOD] Alice is sensible [PERIOD] Alice is amused [PERIOD] Alice is embarrassed [PERIOD] Alice is inquisitive [PERIOD] Alice is tidy [PERIOD] Alice is bad-tempered [PERIOD] Alice is old-fashioned [PERIOD] Alice is weary [PERIOD] Alice is wandering [PERIOD] Alice is stupid [PERIOD] Alice is long [PERIOD] Alice is perfect [PERIOD] Alice is diplomatic [PERIOD]
Rules:
weary [IMPLY] dull [PERIOD]
bad-tempered [AND] elated [AND] wandering [IMPLY] pessimistic [PERIOD]
inquisitive [AND] old-fashioned [IMPLY] dull [PERIOD]
sensible [IMPLY] inquisitive [PERIOD]
perfect [AND] wandering [IMPLY] long [PERIOD]
stormy [AND] dull [AND] bad-tempered [IMPLY] stupid [PERIOD]
anxious [IMPLY] agreeable [PERIOD]
elated [AND] diplomatic [IMPLY] wandering [PERIOD]
bad-tempered [AND] tidy [AND] comfortable [IMPLY] weary [PERIOD]
stupid [AND] bad-tempered [AND] different [IMPLY] shy [PERIOD]
amused [IMPLY] inquisitive [PERIOD]
exuberant [IMPLY] blushing [PERIOD]
perfect [AND] anxious [IMPLY] stormy [PERIOD]
weary [AND] wandering [AND] old-fashioned [IMPLY] stormy [PERIOD]
victorious [AND] old-fashioned [AND] different [IMPLY] stupid [PERIOD]
amused [AND] pessimistic [IMPLY] comfortable [PERIOD]
amused [IMPLY] anxious [PERIOD]
amused [IMPLY] old-fashioned [PERIOD]
dull [IMPLY] perfect [PERIOD]
weary [AND] tidy [IMPLY] wandering [PERIOD]
amused [IMPLY] tidy [PERIOD]
joyous [AND] comfortable [IMPLY] amused [PERIOD]
anxious [AND] pessimistic [IMPLY] agreeable [PERIOD]
smart [AND] anxious [IMPLY] inquisitive [PERIOD]
long [AND] wandering [AND] bad-tempered [IMPLY] dull [PERIOD]
shy [IMPLY] courageous [PERIOD]
perfect [IMPLY] pessimistic [PERIOD]
tidy [AND] joyous [AND] courageous [IMPLY] victorious [PERIOD]
shy [AND] cooperative [AND] embarrassed [IMPLY] pessimistic [PERIOD]
exuberant [AND] inquisitive [AND] elated [IMPLY] bad-tempered [PERIOD]
long [AND] cooperative [IMPLY] elated [PERIOD]
different [AND] perfect [IMPLY] comfortable [PERIOD]
perfect [AND] tidy [AND] inquisitive [IMPLY] excited [PERIOD]
stormy [AND] dull [IMPLY] different [PERIOD]
excited [IMPLY] dull [PERIOD]
different [AND] stormy [IMPLY] stupid [PERIOD]
blushing [AND] wandering [IMPLY] long [PERIOD]
sensible [AND] embarrassed [AND] courageous [IMPLY] stupid [PERIOD]
bad-tempered [AND] embarrassed [IMPLY] old-fashioned [PERIOD]
tidy [AND] long [IMPLY] shy [PERIOD]
victorious [AND] blushing [IMPLY] joyous [PERIOD]
elated [AND] stupid [IMPLY] anxious [PERIOD]
amused [AND] stupid [AND] dull [IMPLY] weary [PERIOD]
courageous [AND] joyous [IMPLY] sensible [PERIOD]
cooperative [AND] stupid [AND] long [IMPLY] wandering [PERIOD]
stupid [AND] old-fashioned [AND] embarrassed [IMPLY] diplomatic [PERIOD]
bad-tempered [AND] wandering [AND] tidy [IMPLY] stormy [PERIOD]
embarrassed [AND] amused [AND] shy [IMPLY] different [PERIOD]
excited [AND] embarrassed [IMPLY] perfect [PERIOD]
excited [AND] blushing [AND] amused [IMPLY] joyous [PERIOD]
stupid [IMPLY] shy [PERIOD]
cooperative [IMPLY] different [PERIOD]
excited [AND] pessimistic [AND] old-fashioned [IMPLY] exuberant [PERIOD]
embarrassed [IMPLY] stormy [PERIOD]
stupid [IMPLY] perfect [PERIOD]
embarrassed [AND] exuberant [IMPLY] stupid [PERIOD]
perfect [IMPLY] smart [PERIOD]
tidy [AND] long [IMPLY] stupid [PERIOD]
wandering [IMPLY] elated [PERIOD]
courageous [IMPLY] comfortable [PERIOD]
shy [AND] diplomatic [AND] smart [IMPLY] joyous [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is famous [PERIOD] Alice is comfortable [PERIOD] Alice is horrible [PERIOD]
Rules:
comfortable [AND] fine [IMPLY] horrible [PERIOD]
famous [IMPLY] comfortable [PERIOD]
excited [IMPLY] horrible [PERIOD]
comfortable [IMPLY] shiny [PERIOD]
excited [AND] busy [IMPLY] famous [PERIOD]
famous [AND] horrible [AND] busy [IMPLY] shiny [PERIOD]
comfortable [AND] excited [IMPLY] fine [PERIOD]
busy [IMPLY] comfortable [PERIOD]
horrible [AND] fine [AND] shiny [IMPLY] excited [PERIOD]
busy [AND] talented [AND] famous [IMPLY] comfortable [PERIOD]
famous [AND] fine [AND] talented [IMPLY] excited [PERIOD]
shiny [AND] horrible [AND] busy [IMPLY] comfortable [PERIOD]
shiny [AND] horrible [IMPLY] excited [PERIOD]
comfortable [IMPLY] fine [PERIOD]
shiny [IMPLY] excited [PERIOD]
talented [AND] comfortable [AND] shiny [IMPLY] horrible [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
   No rule concludes “talented.”
",0,1
"Facts:  Alice is rude [PERIOD]
Rules:
ugly [AND] rude [IMPLY] rational [PERIOD]
mean [AND] lonely [IMPLY] ugliest [PERIOD]
rude [IMPLY] embarrassed [PERIOD]
loving [AND] hilarious [AND] alert [IMPLY] ugly [PERIOD]
ugliest [AND] rational [AND] disgusted [IMPLY] worried [PERIOD]
tender [IMPLY] thoughtful [PERIOD]
jittery [AND] loving [IMPLY] worried [PERIOD]
embarrassed [AND] rational [AND] worried [IMPLY] courageous [PERIOD]
bossy [AND] loving [AND] stupid [IMPLY] thoughtful [PERIOD]
ugly [IMPLY] loving [PERIOD]
disgusted [IMPLY] rational [PERIOD]
jittery [AND] stupid [AND] ugliest [IMPLY] lonely [PERIOD]
lonely [AND] rational [AND] loving [IMPLY] alert [PERIOD]
jittery [AND] tame [AND] ugliest [IMPLY] rational [PERIOD]
rude [AND] ugliest [IMPLY] rational [PERIOD]
alert [AND] tender [AND] tame [IMPLY] fearless [PERIOD]
sleepy [IMPLY] mean [PERIOD]
jittery [AND] rude [AND] hilarious [IMPLY] bossy [PERIOD]
tame [AND] ugly [AND] jittery [IMPLY] disgusted [PERIOD]
ugly [IMPLY] worried [PERIOD]
alert [AND] disgusted [AND] courageous [IMPLY] ugly [PERIOD]
courageous [AND] mean [IMPLY] rational [PERIOD]
tender [AND] rational [AND] jittery [IMPLY] difficult [PERIOD]
disgusted [AND] lonely [IMPLY] tender [PERIOD]
embarrassed [IMPLY] fearless [PERIOD]
mean [IMPLY] difficult [PERIOD]
hilarious [IMPLY] ugly [PERIOD]
stupid [AND] difficult [AND] ugliest [IMPLY] alert [PERIOD]
embarrassed [AND] loving [IMPLY] tame [PERIOD]
fearless [AND] sleepy [AND] mean [IMPLY] hilarious [PERIOD]
bossy [AND] embarrassed [IMPLY] tender [PERIOD]
lonely [IMPLY] embarrassed [PERIOD]
difficult [IMPLY] alert [PERIOD]
embarrassed [AND] disgusted [IMPLY] lonely [PERIOD]
difficult [AND] worried [AND] embarrassed [IMPLY] hilarious [PERIOD]
fearless [AND] ugliest [AND] loving [IMPLY] disgusted [PERIOD]
lonely [IMPLY] thoughtful [PERIOD]
disgusted [AND] tender [AND] hilarious [IMPLY] loving [PERIOD]
vivacious [AND] bossy [IMPLY] fearless [PERIOD]
jittery [AND] tame [AND] ugliest [IMPLY] worried [PERIOD]
embarrassed [AND] ugliest [IMPLY] mean [PERIOD]
fearless [AND] tender [IMPLY] lonely [PERIOD]
bossy [IMPLY] tender [PERIOD]
rational [IMPLY] disgusted [PERIOD]
courageous [AND] tender [IMPLY] rude [PERIOD]
vivacious [AND] hypocritical [AND] sleepy [IMPLY] worried [PERIOD]
alert [AND] fearless [IMPLY] worried [PERIOD]
jittery [IMPLY] thoughtful [PERIOD]
ugliest [IMPLY] ugly [PERIOD]
stupid [AND] thoughtful [AND] courageous [IMPLY] rational [PERIOD]
vivacious [IMPLY] ugliest [PERIOD]
thoughtful [IMPLY] ugliest [PERIOD]
thoughtful [IMPLY] mean [PERIOD]
ugliest [AND] worried [IMPLY] rude [PERIOD]
rational [AND] stupid [AND] vivacious [IMPLY] disgusted [PERIOD]
mean [IMPLY] loving [PERIOD]
embarrassed [IMPLY] thoughtful [PERIOD]
tender [IMPLY] embarrassed [PERIOD]
sleepy [IMPLY] bossy [PERIOD]
sleepy [AND] lonely [IMPLY] bossy [PERIOD]
fearless [AND] ugly [AND] rude [IMPLY] hypocritical [PERIOD]
rude [IMPLY] hypocritical [PERIOD]
tender [AND] vivacious [IMPLY] stupid [PERIOD]
tender [IMPLY] alert [PERIOD]
hilarious [AND] loving [AND] worried [IMPLY] vivacious [PERIOD]
thoughtful [AND] loving [AND] bossy [IMPLY] vivacious [PERIOD]
hilarious [IMPLY] bossy [PERIOD]
mean [IMPLY] fearless [PERIOD]
ugliest [AND] fearless [IMPLY] stupid [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   rude ⇒ embarrassed
   rude ⇒ embarrassed
   embarrassed ⇒ thoughtful
   thoughtful ⇒ mean
   mean ⇒ loving
   embarrassed ∧ loving ⇒ tame
",1,6
"Facts:  Alice is intellectual [PERIOD] Alice is agreeable [PERIOD]
Rules:
bossy [AND] light [AND] zealous [IMPLY] agreeable [PERIOD]
lucky [AND] stormy [IMPLY] beautiful [PERIOD]
curious [IMPLY] perfect [PERIOD]
curious [IMPLY] light [PERIOD]
easy [IMPLY] beautiful [PERIOD]
stormy [AND] condemned [IMPLY] agreeable [PERIOD]
intellectual [AND] stubborn [AND] mysterious [IMPLY] worried [PERIOD]
light [AND] fragile [AND] bossy [IMPLY] easy [PERIOD]
confused [AND] worried [AND] curious [IMPLY] aggressive [PERIOD]
lucky [IMPLY] elegant [PERIOD]
average [AND] fine [IMPLY] aggressive [PERIOD]
perfect [IMPLY] mysterious [PERIOD]
beautiful [AND] stormy [IMPLY] mysterious [PERIOD]
curious [AND] stormy [AND] zealous [IMPLY] fine [PERIOD]
fine [AND] intellectual [AND] average [IMPLY] easy [PERIOD]
elegant [AND] worrisome [AND] bossy [IMPLY] intellectual [PERIOD]
bossy [AND] easy [AND] worrisome [IMPLY] curious [PERIOD]
supportive [AND] zealous [AND] beautiful [IMPLY] elegant [PERIOD]
agreeable [IMPLY] bossy [PERIOD]
light [AND] zealous [AND] confused [IMPLY] beautiful [PERIOD]
elegant [AND] zealous [IMPLY] perfect [PERIOD]
average [AND] easy [IMPLY] lucky [PERIOD]
agreeable [IMPLY] worried [PERIOD]
stubborn [AND] worried [AND] mysterious [IMPLY] stormy [PERIOD]
elegant [AND] beautiful [AND] worried [IMPLY] intellectual [PERIOD]
exuberant [IMPLY] aggressive [PERIOD]
supportive [IMPLY] worrisome [PERIOD]
fine [AND] confused [IMPLY] fragile [PERIOD]
stubborn [AND] stormy [AND] bossy [IMPLY] aggressive [PERIOD]
lucky [IMPLY] easy [PERIOD]
elegant [IMPLY] agreeable [PERIOD]
zealous [IMPLY] stubborn [PERIOD]
light [IMPLY] aggressive [PERIOD]
confused [AND] aggressive [IMPLY] agreeable [PERIOD]
average [AND] agreeable [IMPLY] worrisome [PERIOD]
condemned [AND] stormy [IMPLY] exuberant [PERIOD]
fragile [AND] bossy [IMPLY] stormy [PERIOD]
fragile [AND] beautiful [IMPLY] zealous [PERIOD]
exuberant [AND] worrisome [IMPLY] fine [PERIOD]
lucky [IMPLY] agreeable [PERIOD]
beautiful [AND] fragile [IMPLY] perfect [PERIOD]
agreeable [IMPLY] fine [PERIOD]
curious [IMPLY] lucky [PERIOD]
elegant [IMPLY] easy [PERIOD]
elegant [AND] fine [IMPLY] exuberant [PERIOD]
curious [IMPLY] mysterious [PERIOD]
perfect [IMPLY] fragile [PERIOD]
supportive [AND] worried [IMPLY] stubborn [PERIOD]
mysterious [AND] condemned [AND] intellectual [IMPLY] aggressive [PERIOD]
curious [IMPLY] supportive [PERIOD]
curious [IMPLY] average [PERIOD]
stormy [AND] supportive [IMPLY] fragile [PERIOD]
easy [IMPLY] elegant [PERIOD]
elegant [IMPLY] worrisome [PERIOD]
elegant [AND] intellectual [IMPLY] mysterious [PERIOD]
stubborn [IMPLY] exuberant [PERIOD]
worrisome [IMPLY] confused [PERIOD]
lucky [AND] mysterious [AND] stormy [IMPLY] elegant [PERIOD]
mysterious [IMPLY] intellectual [PERIOD]
elegant [AND] agreeable [AND] stubborn [IMPLY] worrisome [PERIOD]
fragile [IMPLY] curious [PERIOD]
mysterious [AND] stubborn [IMPLY] stormy [PERIOD]
exuberant [AND] zealous [IMPLY] stubborn [PERIOD]
curious [IMPLY] worried [PERIOD]
aggressive [AND] intellectual [IMPLY] fragile [PERIOD]
exuberant [AND] fine [IMPLY] polite [PERIOD]
light [AND] fragile [AND] curious [IMPLY] confused [PERIOD]
fragile [AND] bossy [IMPLY] light [PERIOD]
average [IMPLY] stormy [PERIOD]
fragile [AND] aggressive [IMPLY] light [PERIOD]
lucky [AND] worried [IMPLY] light [PERIOD]
elegant [IMPLY] supportive [PERIOD]
curious [AND] average [IMPLY] mysterious [PERIOD]
elegant [IMPLY] perfect [PERIOD]
beautiful [IMPLY] easy [PERIOD]
polite [AND] beautiful [IMPLY] lucky [PERIOD]
fragile [AND] zealous [IMPLY] average [PERIOD]
worrisome [IMPLY] stubborn [PERIOD]
lucky [AND] condemned [AND] worried [IMPLY] aggressive [PERIOD]
worried [IMPLY] bossy [PERIOD]
curious [AND] worrisome [AND] condemned [IMPLY] zealous [PERIOD]
light [IMPLY] fine [PERIOD]
curious [AND] bossy [IMPLY] supportive [PERIOD]
stormy [AND] intellectual [IMPLY] light [PERIOD]
zealous [IMPLY] condemned [PERIOD]
beautiful [AND] supportive [AND] stubborn [IMPLY] perfect [PERIOD]
curious [AND] stubborn [AND] average [IMPLY] elegant [PERIOD]
elegant [IMPLY] fine [PERIOD]
lucky [AND] condemned [IMPLY] stormy [PERIOD]
fine [AND] confused [IMPLY] intellectual [PERIOD]
light [AND] elegant [AND] supportive [IMPLY] curious [PERIOD]
Query: Alice is light [PERIOD]","Proof chain:
   Cannot apply rule “curious ⇒ light” because missing: curious.
   agreeable ⇒ bossy
   Cannot apply rule “fragile ∧ bossy ⇒ light” because missing: fragile.
   Cannot apply rule “fragile ∧ aggressive ⇒ light” because missing: fragile, aggressive.
   agreeable ⇒ worried
   Cannot apply rule “lucky ∧ worried ⇒ light” because missing: lucky.
   Cannot apply rule “stormy ∧ intellectual ⇒ light” because missing: stormy.
",0,7
"Facts:  Alice is difficult [PERIOD]
Rules:
zealous [IMPLY] hilarious [PERIOD]
cooperative [AND] stupid [IMPLY] wrong [PERIOD]
hilarious [AND] joyous [IMPLY] stupid [PERIOD]
enchanting [AND] wrong [AND] zealous [IMPLY] joyous [PERIOD]
confident [AND] versatile [IMPLY] charming [PERIOD]
difficult [AND] bright [IMPLY] hurt [PERIOD]
selfish [AND] hilarious [AND] versatile [IMPLY] confident [PERIOD]
stubborn [IMPLY] difficult [PERIOD]
cute [AND] confident [IMPLY] selfish [PERIOD]
confident [AND] clean [IMPLY] zealous [PERIOD]
cute [AND] enchanting [IMPLY] difficult [PERIOD]
joyous [AND] confident [AND] zealous [IMPLY] hurt [PERIOD]
powerful [AND] intellectual [IMPLY] average [PERIOD]
clean [AND] joyous [IMPLY] cooperative [PERIOD]
tense [AND] selfish [IMPLY] versatile [PERIOD]
joyous [AND] selfish [AND] powerful [IMPLY] versatile [PERIOD]
difficult [AND] charming [AND] clean [IMPLY] average [PERIOD]
enchanting [AND] powerful [IMPLY] clean [PERIOD]
impartial [AND] stubborn [AND] hilarious [IMPLY] clean [PERIOD]
difficult [IMPLY] bright [PERIOD]
cooperative [AND] stupid [AND] wrong [IMPLY] selfish [PERIOD]
weary [AND] joyous [AND] average [IMPLY] stupid [PERIOD]
hurt [AND] selfish [AND] zealous [IMPLY] hilarious [PERIOD]
average [AND] tense [IMPLY] charming [PERIOD]
stubborn [AND] weary [IMPLY] joyous [PERIOD]
stupid [IMPLY] difficult [PERIOD]
weary [IMPLY] wrong [PERIOD]
hilarious [AND] difficult [AND] powerful [IMPLY] selfish [PERIOD]
charming [AND] stupid [IMPLY] zealous [PERIOD]
wrong [IMPLY] versatile [PERIOD]
joyous [IMPLY] charming [PERIOD]
hilarious [AND] charming [IMPLY] cute [PERIOD]
hurt [AND] stupid [AND] weary [IMPLY] versatile [PERIOD]
charming [AND] joyous [AND] clean [IMPLY] wrong [PERIOD]
powerful [IMPLY] intellectual [PERIOD]
zealous [AND] joyous [AND] difficult [IMPLY] confident [PERIOD]
intellectual [AND] cooperative [AND] powerful [IMPLY] bright [PERIOD]
hilarious [AND] bright [AND] enchanting [IMPLY] stubborn [PERIOD]
clean [AND] powerful [IMPLY] impartial [PERIOD]
cute [AND] cooperative [IMPLY] difficult [PERIOD]
bright [IMPLY] stubborn [PERIOD]
joyous [AND] stubborn [AND] cooperative [IMPLY] stupid [PERIOD]
hurt [AND] intellectual [AND] stupid [IMPLY] bright [PERIOD]
wrong [AND] stubborn [AND] enchanting [IMPLY] charming [PERIOD]
hilarious [IMPLY] wrong [PERIOD]
stubborn [AND] enchanting [IMPLY] wrong [PERIOD]
zealous [AND] clean [AND] weary [IMPLY] stubborn [PERIOD]
confident [AND] intellectual [AND] hurt [IMPLY] stubborn [PERIOD]
weary [IMPLY] impartial [PERIOD]
impartial [IMPLY] tense [PERIOD]
average [AND] confident [IMPLY] impartial [PERIOD]
stupid [AND] charming [AND] tense [IMPLY] intellectual [PERIOD]
stupid [IMPLY] hilarious [PERIOD]
wrong [AND] hilarious [IMPLY] versatile [PERIOD]
cute [AND] impartial [AND] selfish [IMPLY] enchanting [PERIOD]
confident [AND] hilarious [IMPLY] cooperative [PERIOD]
versatile [AND] difficult [AND] confident [IMPLY] clean [PERIOD]
bright [AND] stubborn [AND] hurt [IMPLY] hilarious [PERIOD]
wrong [AND] cooperative [AND] clean [IMPLY] stupid [PERIOD]
powerful [AND] clean [IMPLY] hurt [PERIOD]
cute [AND] difficult [AND] enchanting [IMPLY] zealous [PERIOD]
average [AND] powerful [IMPLY] intellectual [PERIOD]
difficult [AND] average [IMPLY] stupid [PERIOD]
charming [AND] powerful [AND] intellectual [IMPLY] clean [PERIOD]
impartial [IMPLY] bright [PERIOD]
wrong [IMPLY] charming [PERIOD]
powerful [AND] intellectual [IMPLY] hurt [PERIOD]
Query: Alice is wrong [PERIOD]","Proof chain:
   difficult ⇒ bright
   difficult ⇒ bright
   bright ⇒ stubborn
   difficult ⇒ bright
   difficult ∧ bright ⇒ hurt
   bright ∧ stubborn ∧ hurt ⇒ hilarious
   hilarious ⇒ wrong
",1,7
"Facts: 
Rules:
wandering [IMPLY] witty [PERIOD]
condemned [AND] sleepy [AND] witty [IMPLY] calm [PERIOD]
calm [AND] spotless [IMPLY] combative [PERIOD]
witty [IMPLY] wandering [PERIOD]
condemned [AND] calm [AND] witty [IMPLY] gifted [PERIOD]
grumpy [IMPLY] combative [PERIOD]
spotless [IMPLY] cooperative [PERIOD]
bad-tempered [AND] gifted [AND] polite [IMPLY] calm [PERIOD]
sleepy [IMPLY] grumpy [PERIOD]
witty [AND] smart [IMPLY] cooperative [PERIOD]
grumpy [AND] calm [IMPLY] polite [PERIOD]
witty [AND] bad-tempered [IMPLY] sleepy [PERIOD]
combative [IMPLY] sleepy [PERIOD]
cooperative [AND] grumpy [AND] bad-tempered [IMPLY] witty [PERIOD]
grumpy [IMPLY] polite [PERIOD]
sleepy [AND] smart [AND] calm [IMPLY] combative [PERIOD]
bad-tempered [AND] polite [AND] calm [IMPLY] smart [PERIOD]
wandering [AND] combative [IMPLY] spotless [PERIOD]
cooperative [IMPLY] polite [PERIOD]
polite [AND] wandering [AND] bad-tempered [IMPLY] condemned [PERIOD]
witty [AND] polite [IMPLY] sleepy [PERIOD]
gifted [IMPLY] calm [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   Cannot apply rule “spotless ⇒ cooperative” because missing: spotless.
   Cannot apply rule “witty ∧ smart ⇒ cooperative” because missing: witty, smart.
",0,2
"Facts:  Alice is bossy [PERIOD] Alice is sincere [PERIOD]
Rules:
witty [AND] calm [IMPLY] silly [PERIOD]
ugliest [IMPLY] plain [PERIOD]
bossy [AND] ugliest [IMPLY] wrong [PERIOD]
amused [AND] ugliest [IMPLY] shy [PERIOD]
witty [AND] plain [IMPLY] amused [PERIOD]
amused [IMPLY] sincere [PERIOD]
ugliest [AND] embarrassed [IMPLY] crowded [PERIOD]
selfish [IMPLY] sincere [PERIOD]
bossy [AND] shy [AND] ugliest [IMPLY] calm [PERIOD]
wrong [IMPLY] silly [PERIOD]
silly [AND] alert [IMPLY] bossy [PERIOD]
witty [AND] amused [IMPLY] selfish [PERIOD]
witty [AND] bossy [IMPLY] confident [PERIOD]
dishonest [AND] calm [IMPLY] witty [PERIOD]
bossy [AND] dishonest [AND] selfish [IMPLY] crowded [PERIOD]
alert [AND] silly [AND] sincere [IMPLY] horrible [PERIOD]
shy [IMPLY] crowded [PERIOD]
wrong [IMPLY] alert [PERIOD]
horrible [AND] wrong [AND] silly [IMPLY] dishonest [PERIOD]
combative [IMPLY] alert [PERIOD]
ugliest [AND] shy [AND] dishonest [IMPLY] selfish [PERIOD]
combative [IMPLY] confident [PERIOD]
embarrassed [IMPLY] selfish [PERIOD]
selfish [AND] plain [AND] embarrassed [IMPLY] ugliest [PERIOD]
calm [AND] alert [IMPLY] shy [PERIOD]
selfish [AND] sincere [IMPLY] embarrassed [PERIOD]
alert [AND] combative [IMPLY] confident [PERIOD]
crowded [AND] horrible [IMPLY] amused [PERIOD]
plain [IMPLY] combative [PERIOD]
selfish [AND] embarrassed [IMPLY] sincere [PERIOD]
confident [AND] sincere [AND] dishonest [IMPLY] calm [PERIOD]
selfish [AND] shy [AND] silly [IMPLY] wrong [PERIOD]
plain [AND] confident [IMPLY] crowded [PERIOD]
shy [AND] embarrassed [AND] witty [IMPLY] wrong [PERIOD]
alert [IMPLY] silly [PERIOD]
alert [AND] horrible [IMPLY] amused [PERIOD]
calm [AND] dishonest [IMPLY] crowded [PERIOD]
alert [AND] embarrassed [AND] sincere [IMPLY] bossy [PERIOD]
alert [AND] bossy [AND] wrong [IMPLY] confident [PERIOD]
amused [IMPLY] confident [PERIOD]
horrible [AND] amused [IMPLY] silly [PERIOD]
plain [AND] alert [IMPLY] crowded [PERIOD]
horrible [AND] wrong [AND] plain [IMPLY] sincere [PERIOD]
amused [AND] crowded [AND] selfish [IMPLY] silly [PERIOD]
confident [AND] plain [IMPLY] wrong [PERIOD]
dishonest [AND] alert [IMPLY] amused [PERIOD]
plain [AND] confident [AND] amused [IMPLY] wrong [PERIOD]
shy [IMPLY] sincere [PERIOD]
dishonest [AND] witty [IMPLY] sincere [PERIOD]
embarrassed [IMPLY] confident [PERIOD]
confident [AND] bossy [AND] alert [IMPLY] plain [PERIOD]
horrible [AND] amused [AND] alert [IMPLY] bossy [PERIOD]
combative [AND] bossy [IMPLY] ugliest [PERIOD]
amused [AND] calm [AND] horrible [IMPLY] silly [PERIOD]
silly [IMPLY] calm [PERIOD]
combative [AND] selfish [IMPLY] bossy [PERIOD]
combative [IMPLY] horrible [PERIOD]
sincere [AND] amused [IMPLY] dishonest [PERIOD]
alert [AND] dishonest [IMPLY] sincere [PERIOD]
sincere [AND] bossy [AND] confident [IMPLY] ugliest [PERIOD]
selfish [IMPLY] amused [PERIOD]
crowded [AND] amused [AND] shy [IMPLY] horrible [PERIOD]
plain [AND] alert [IMPLY] selfish [PERIOD]
embarrassed [AND] witty [IMPLY] selfish [PERIOD]
confident [IMPLY] shy [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   Cannot apply rule “ugliest ∧ embarrassed ⇒ crowded” because missing: ugliest, embarrassed.
   Cannot apply rule “bossy ∧ dishonest ∧ selfish ⇒ crowded” because missing: dishonest, selfish.
   Cannot apply rule “shy ⇒ crowded” because missing: shy.
   Cannot apply rule “plain ∧ confident ⇒ crowded” because missing: plain, confident.
   Cannot apply rule “calm ∧ dishonest ⇒ crowded” because missing: calm, dishonest.
   Cannot apply rule “plain ∧ alert ⇒ crowded” because missing: plain, alert.
",0,6
"Facts:  Alice is gorgeous [PERIOD] Alice is bad-tempered [PERIOD] Alice is joyous [PERIOD]
Rules:
broad-minded [AND] elated [IMPLY] average [PERIOD]
impartial [AND] reserved [AND] good [IMPLY] elated [PERIOD]
versatile [AND] average [IMPLY] comfortable [PERIOD]
joyous [AND] reserved [AND] friendly [IMPLY] thoughtful [PERIOD]
comfortable [AND] broad-minded [IMPLY] spotless [PERIOD]
reserved [AND] cooperative [AND] sleepy [IMPLY] versatile [PERIOD]
hypocritical [AND] ugly [AND] broad-minded [IMPLY] witty [PERIOD]
broad-minded [AND] good [IMPLY] reserved [PERIOD]
bad-tempered [IMPLY] comfortable [PERIOD]
friendly [AND] inexpensive [IMPLY] thoughtful [PERIOD]
joyous [IMPLY] versatile [PERIOD]
inexpensive [AND] innocent [AND] gorgeous [IMPLY] cooperative [PERIOD]
thoughtful [IMPLY] joyous [PERIOD]
bad-tempered [AND] broad-minded [IMPLY] wide-eyed [PERIOD]
precious [AND] inexpensive [IMPLY] cooperative [PERIOD]
precious [AND] hypocritical [IMPLY] impartial [PERIOD]
tender [IMPLY] innocent [PERIOD]
gorgeous [IMPLY] inexpensive [PERIOD]
wide-eyed [AND] sleepy [AND] thoughtful [IMPLY] precious [PERIOD]
elated [AND] friendly [IMPLY] witty [PERIOD]
sleepy [IMPLY] innocent [PERIOD]
joyous [AND] witty [IMPLY] impartial [PERIOD]
talkative [AND] impartial [IMPLY] witty [PERIOD]
spotless [IMPLY] hypocritical [PERIOD]
sleepy [AND] cooperative [IMPLY] precious [PERIOD]
bad-tempered [AND] spotless [IMPLY] average [PERIOD]
hypocritical [AND] elated [AND] impartial [IMPLY] friendly [PERIOD]
witty [AND] inexpensive [IMPLY] comfortable [PERIOD]
comfortable [AND] inexpensive [AND] thoughtful [IMPLY] wide-eyed [PERIOD]
thoughtful [AND] cooperative [IMPLY] friendly [PERIOD]
comfortable [IMPLY] friendly [PERIOD]
reserved [AND] elated [IMPLY] wide-eyed [PERIOD]
versatile [IMPLY] good [PERIOD]
inexpensive [AND] elated [AND] cooperative [IMPLY] versatile [PERIOD]
gorgeous [IMPLY] spotless [PERIOD]
impartial [IMPLY] broad-minded [PERIOD]
average [AND] sleepy [IMPLY] wide-eyed [PERIOD]
innocent [AND] witty [AND] gorgeous [IMPLY] tender [PERIOD]
average [AND] wide-eyed [IMPLY] sleepy [PERIOD]
silly [AND] versatile [AND] reserved [IMPLY] spotless [PERIOD]
impartial [AND] good [AND] joyous [IMPLY] hypocritical [PERIOD]
impartial [AND] friendly [IMPLY] wide-eyed [PERIOD]
gorgeous [AND] cooperative [AND] wide-eyed [IMPLY] tender [PERIOD]
precious [AND] elated [IMPLY] bad-tempered [PERIOD]
precious [AND] ugly [AND] joyous [IMPLY] silly [PERIOD]
sleepy [AND] witty [AND] spotless [IMPLY] hypocritical [PERIOD]
broad-minded [IMPLY] average [PERIOD]
witty [AND] innocent [IMPLY] broad-minded [PERIOD]
wide-eyed [AND] innocent [IMPLY] hypocritical [PERIOD]
impartial [IMPLY] versatile [PERIOD]
comfortable [AND] good [AND] gorgeous [IMPLY] precious [PERIOD]
witty [AND] good [AND] bad-tempered [IMPLY] comfortable [PERIOD]
joyous [IMPLY] precious [PERIOD]
hypocritical [AND] gorgeous [AND] reserved [IMPLY] broad-minded [PERIOD]
versatile [IMPLY] innocent [PERIOD]
inexpensive [IMPLY] versatile [PERIOD]
good [IMPLY] talkative [PERIOD]
broad-minded [AND] friendly [AND] spotless [IMPLY] reserved [PERIOD]
impartial [AND] ugly [IMPLY] elated [PERIOD]
ugly [AND] talkative [AND] silly [IMPLY] impartial [PERIOD]
broad-minded [IMPLY] precious [PERIOD]
innocent [AND] witty [IMPLY] inexpensive [PERIOD]
friendly [AND] thoughtful [AND] tender [IMPLY] average [PERIOD]
witty [AND] spotless [IMPLY] joyous [PERIOD]
wide-eyed [IMPLY] talkative [PERIOD]
talkative [IMPLY] spotless [PERIOD]
inexpensive [IMPLY] good [PERIOD]
wide-eyed [AND] innocent [AND] versatile [IMPLY] hypocritical [PERIOD]
hypocritical [AND] spotless [IMPLY] ugly [PERIOD]
good [IMPLY] bad-tempered [PERIOD]
ugly [AND] versatile [IMPLY] precious [PERIOD]
bad-tempered [AND] talkative [AND] sleepy [IMPLY] tender [PERIOD]
innocent [AND] wide-eyed [AND] sleepy [IMPLY] comfortable [PERIOD]
friendly [IMPLY] broad-minded [PERIOD]
talkative [IMPLY] versatile [PERIOD]
tender [AND] joyous [AND] ugly [IMPLY] bad-tempered [PERIOD]
talkative [AND] inexpensive [AND] silly [IMPLY] witty [PERIOD]
precious [IMPLY] ugly [PERIOD]
versatile [AND] good [AND] precious [IMPLY] silly [PERIOD]
spotless [IMPLY] talkative [PERIOD]
versatile [IMPLY] spotless [PERIOD]
comfortable [AND] average [AND] witty [IMPLY] inexpensive [PERIOD]
reserved [AND] elated [IMPLY] silly [PERIOD]
spotless [AND] precious [AND] joyous [IMPLY] innocent [PERIOD]
thoughtful [AND] hypocritical [IMPLY] impartial [PERIOD]
witty [IMPLY] reserved [PERIOD]
bad-tempered [AND] broad-minded [IMPLY] spotless [PERIOD]
precious [AND] ugly [IMPLY] cooperative [PERIOD]
wide-eyed [AND] bad-tempered [IMPLY] inexpensive [PERIOD]
good [AND] friendly [AND] impartial [IMPLY] witty [PERIOD]
joyous [AND] elated [IMPLY] thoughtful [PERIOD]
spotless [AND] friendly [AND] hypocritical [IMPLY] thoughtful [PERIOD]
thoughtful [AND] sleepy [IMPLY] precious [PERIOD]
gorgeous [AND] witty [AND] wide-eyed [IMPLY] good [PERIOD]
average [AND] gorgeous [IMPLY] precious [PERIOD]
spotless [AND] friendly [IMPLY] silly [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   bad-tempered ⇒ comfortable
   comfortable ⇒ friendly
   gorgeous ⇒ inexpensive
   friendly ∧ inexpensive ⇒ thoughtful
",1,4
"Facts:  Alice is plain [PERIOD] Alice is powerful [PERIOD] Alice is bright [PERIOD] Alice is foolish [PERIOD] Alice is gifted [PERIOD] Alice is zealous [PERIOD] Alice is intellectual [PERIOD] Alice is fine [PERIOD] Alice is perfect [PERIOD] Alice is good [PERIOD] Alice is supportive [PERIOD] Alice is worrisome [PERIOD] Alice is beautiful [PERIOD] Alice is polite [PERIOD] Alice is ugly [PERIOD] Alice is cruel [PERIOD] Alice is calm [PERIOD] Alice is sensible [PERIOD] Alice is muddy [PERIOD] Alice is clean [PERIOD]
Rules:
rational [AND] friendly [IMPLY] precious [PERIOD]
precious [AND] perfect [AND] bright [IMPLY] ugly [PERIOD]
cruel [AND] clean [IMPLY] intellectual [PERIOD]
gifted [IMPLY] supportive [PERIOD]
bright [AND] foolish [IMPLY] clean [PERIOD]
cruel [AND] powerful [AND] foolish [IMPLY] perfect [PERIOD]
gifted [AND] good [IMPLY] cruel [PERIOD]
powerful [AND] spotless [AND] foolish [IMPLY] supportive [PERIOD]
fine [AND] rational [AND] wandering [IMPLY] bright [PERIOD]
worrisome [AND] perfect [IMPLY] good [PERIOD]
muddy [IMPLY] spotless [PERIOD]
plain [IMPLY] supportive [PERIOD]
worrisome [AND] sensible [AND] polite [IMPLY] calm [PERIOD]
wandering [AND] perfect [IMPLY] foolish [PERIOD]
beautiful [AND] fine [AND] good [IMPLY] gifted [PERIOD]
calm [AND] good [AND] plain [IMPLY] powerful [PERIOD]
fine [AND] rational [IMPLY] plain [PERIOD]
foolish [AND] fine [AND] worrisome [IMPLY] polite [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is confused [PERIOD] Alice is grumpy [PERIOD] Alice is excited [PERIOD] Alice is adorable [PERIOD] Alice is talkative [PERIOD]
Rules:
busy [AND] bored [IMPLY] confident [PERIOD]
selfish [IMPLY] wandering [PERIOD]
disobedient [AND] adorable [IMPLY] dull [PERIOD]
sensible [AND] careless [AND] hilarious [IMPLY] helpful [PERIOD]
agreeable [AND] long [AND] talkative [IMPLY] tired [PERIOD]
talkative [AND] outstanding [AND] confident [IMPLY] hilarious [PERIOD]
wandering [IMPLY] selfish [PERIOD]
confused [AND] lucky [IMPLY] sensible [PERIOD]
confident [AND] agreeable [IMPLY] disobedient [PERIOD]
confused [AND] anxious [AND] outstanding [IMPLY] confident [PERIOD]
proud [AND] excited [AND] agreeable [IMPLY] sensible [PERIOD]
confused [AND] agreeable [AND] careless [IMPLY] wandering [PERIOD]
lucky [AND] excited [AND] grumpy [IMPLY] adorable [PERIOD]
busy [IMPLY] agreeable [PERIOD]
bored [AND] tired [IMPLY] confident [PERIOD]
wandering [AND] disobedient [IMPLY] excited [PERIOD]
lucky [IMPLY] anxious [PERIOD]
excited [AND] confused [IMPLY] busy [PERIOD]
disobedient [AND] confident [IMPLY] agreeable [PERIOD]
hilarious [IMPLY] adorable [PERIOD]
dull [AND] disobedient [AND] helpful [IMPLY] outstanding [PERIOD]
tired [AND] agreeable [AND] helpful [IMPLY] lucky [PERIOD]
anxious [AND] helpful [AND] grumpy [IMPLY] agreeable [PERIOD]
hilarious [AND] careless [IMPLY] bored [PERIOD]
lucky [AND] grumpy [IMPLY] sensible [PERIOD]
confident [AND] adorable [AND] proud [IMPLY] careless [PERIOD]
bored [AND] helpful [AND] proud [IMPLY] agreeable [PERIOD]
hilarious [AND] selfish [AND] helpful [IMPLY] adorable [PERIOD]
bored [AND] careless [AND] wandering [IMPLY] helpful [PERIOD]
excited [AND] long [AND] outstanding [IMPLY] wandering [PERIOD]
long [AND] wandering [AND] confused [IMPLY] tired [PERIOD]
talkative [IMPLY] outstanding [PERIOD]
bored [AND] lucky [AND] grumpy [IMPLY] confused [PERIOD]
confident [IMPLY] lucky [PERIOD]
agreeable [AND] bored [IMPLY] anxious [PERIOD]
confused [IMPLY] careless [PERIOD]
confused [IMPLY] agreeable [PERIOD]
adorable [AND] confused [IMPLY] excited [PERIOD]
confused [AND] grumpy [IMPLY] selfish [PERIOD]
hilarious [AND] talkative [IMPLY] tired [PERIOD]
hilarious [IMPLY] busy [PERIOD]
proud [AND] helpful [AND] tired [IMPLY] confident [PERIOD]
helpful [AND] long [IMPLY] sensible [PERIOD]
disobedient [AND] proud [IMPLY] wandering [PERIOD]
excited [IMPLY] tired [PERIOD]
long [IMPLY] careless [PERIOD]
agreeable [AND] selfish [AND] disobedient [IMPLY] wandering [PERIOD]
confused [IMPLY] excited [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is old-fashioned [PERIOD]
Rules:
bossy [AND] sincere [IMPLY] foolish [PERIOD]
talkative [IMPLY] old-fashioned [PERIOD]
tense [AND] sincere [AND] light [IMPLY] excited [PERIOD]
light [AND] foolish [IMPLY] unpleasant [PERIOD]
cute [AND] impatient [AND] foolish [IMPLY] unpleasant [PERIOD]
tense [IMPLY] sincere [PERIOD]
amused [AND] exuberant [IMPLY] old-fashioned [PERIOD]
polite [AND] tense [AND] sincere [IMPLY] bored [PERIOD]
inexpensive [AND] impatient [IMPLY] stupid [PERIOD]
inexpensive [IMPLY] old-fashioned [PERIOD]
bad-tempered [AND] talkative [AND] old-fashioned [IMPLY] impatient [PERIOD]
foolish [AND] bored [AND] unpleasant [IMPLY] old-fashioned [PERIOD]
bored [AND] polite [AND] old-fashioned [IMPLY] unpleasant [PERIOD]
foolish [AND] impatient [AND] embarrassed [IMPLY] old-fashioned [PERIOD]
light [AND] polite [AND] bored [IMPLY] bad-tempered [PERIOD]
unpleasant [AND] talkative [AND] stupid [IMPLY] light [PERIOD]
excited [AND] bored [AND] cute [IMPLY] bad-tempered [PERIOD]
exuberant [IMPLY] inexpensive [PERIOD]
bossy [IMPLY] unpleasant [PERIOD]
bossy [AND] tense [AND] foolish [IMPLY] exuberant [PERIOD]
embarrassed [AND] exuberant [AND] talkative [IMPLY] stupid [PERIOD]
exuberant [AND] polite [AND] unpleasant [IMPLY] embarrassed [PERIOD]
cute [AND] unpleasant [AND] tense [IMPLY] embarrassed [PERIOD]
sincere [IMPLY] amused [PERIOD]
sincere [IMPLY] stupid [PERIOD]
old-fashioned [IMPLY] impatient [PERIOD]
inexpensive [AND] stupid [AND] cute [IMPLY] amused [PERIOD]
bad-tempered [AND] inexpensive [IMPLY] bossy [PERIOD]
stupid [AND] sincere [AND] polite [IMPLY] tense [PERIOD]
talkative [AND] bossy [AND] inexpensive [IMPLY] unpleasant [PERIOD]
tense [AND] light [AND] talkative [IMPLY] polite [PERIOD]
unpleasant [AND] amused [IMPLY] bad-tempered [PERIOD]
excited [AND] impatient [IMPLY] light [PERIOD]
impatient [AND] old-fashioned [AND] inexpensive [IMPLY] embarrassed [PERIOD]
bossy [IMPLY] cute [PERIOD]
bossy [AND] tense [AND] exuberant [IMPLY] excited [PERIOD]
excited [IMPLY] embarrassed [PERIOD]
impatient [AND] excited [IMPLY] unpleasant [PERIOD]
sincere [IMPLY] excited [PERIOD]
sincere [IMPLY] foolish [PERIOD]
bossy [AND] stupid [IMPLY] old-fashioned [PERIOD]
unpleasant [AND] embarrassed [IMPLY] bossy [PERIOD]
bad-tempered [AND] sincere [IMPLY] tense [PERIOD]
bossy [AND] amused [IMPLY] light [PERIOD]
inexpensive [IMPLY] stupid [PERIOD]
bad-tempered [AND] cute [AND] inexpensive [IMPLY] bored [PERIOD]
bad-tempered [IMPLY] inexpensive [PERIOD]
stupid [AND] cute [IMPLY] foolish [PERIOD]
stupid [AND] inexpensive [IMPLY] old-fashioned [PERIOD]
impatient [AND] embarrassed [AND] amused [IMPLY] old-fashioned [PERIOD]
impatient [IMPLY] light [PERIOD]
foolish [AND] old-fashioned [AND] sincere [IMPLY] talkative [PERIOD]
sincere [IMPLY] light [PERIOD]
talkative [AND] light [IMPLY] unpleasant [PERIOD]
bored [AND] sincere [IMPLY] bossy [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   Cannot apply rule “exuberant ∧ polite ∧ unpleasant ⇒ embarrassed” because missing: exuberant, polite, unpleasant.
   Cannot apply rule “cute ∧ unpleasant ∧ tense ⇒ embarrassed” because missing: cute, unpleasant, tense.
   old-fashioned ⇒ impatient
   Cannot apply rule “impatient ∧ old-fashioned ∧ inexpensive ⇒ embarrassed” because missing: inexpensive.
   Cannot apply rule “excited ⇒ embarrassed” because missing: excited.
",0,5
"Facts:  Alice is impartial [PERIOD] Alice is crowded [PERIOD] Alice is intellectual [PERIOD] Alice is sleepy [PERIOD] Alice is pleasant [PERIOD] Alice is bad-tempered [PERIOD] Alice is enchanting [PERIOD] Alice is inquisitive [PERIOD]
Rules:
inquisitive [IMPLY] enchanting [PERIOD]
enchanting [AND] bad-tempered [AND] pleasant [IMPLY] dishonest [PERIOD]
charming [AND] horrible [IMPLY] pleasant [PERIOD]
bad-tempered [IMPLY] worrisome [PERIOD]
pleasant [AND] thoughtless [AND] shiny [IMPLY] worrisome [PERIOD]
hypocritical [AND] fragile [AND] enchanting [IMPLY] spotless [PERIOD]
crowded [AND] tense [IMPLY] horrible [PERIOD]
inquisitive [IMPLY] embarrassed [PERIOD]
dishonest [AND] crowded [IMPLY] horrible [PERIOD]
impartial [AND] charming [IMPLY] enchanting [PERIOD]
sleepy [AND] charming [IMPLY] inquisitive [PERIOD]
shiny [IMPLY] enchanting [PERIOD]
fragile [AND] enchanting [AND] impartial [IMPLY] pleasant [PERIOD]
inquisitive [IMPLY] sleepy [PERIOD]
fragile [AND] spotless [IMPLY] impartial [PERIOD]
hypocritical [AND] spotless [AND] pleasant [IMPLY] horrible [PERIOD]
bad-tempered [AND] embarrassed [AND] shiny [IMPLY] horrible [PERIOD]
sleepy [AND] inquisitive [IMPLY] worrisome [PERIOD]
horrible [AND] inquisitive [IMPLY] spotless [PERIOD]
thoughtless [AND] tense [IMPLY] dishonest [PERIOD]
thoughtless [IMPLY] fragile [PERIOD]
horrible [AND] crowded [AND] hypocritical [IMPLY] embarrassed [PERIOD]
impartial [IMPLY] shiny [PERIOD]
bad-tempered [IMPLY] impartial [PERIOD]
pleasant [IMPLY] fragile [PERIOD]
crowded [IMPLY] inquisitive [PERIOD]
inquisitive [AND] horrible [AND] charming [IMPLY] fragile [PERIOD]
impartial [AND] spotless [IMPLY] intellectual [PERIOD]
tense [IMPLY] shiny [PERIOD]
embarrassed [IMPLY] hypocritical [PERIOD]
horrible [IMPLY] tense [PERIOD]
bad-tempered [AND] inquisitive [AND] crowded [IMPLY] embarrassed [PERIOD]
hypocritical [AND] bad-tempered [IMPLY] inquisitive [PERIOD]
embarrassed [AND] enchanting [IMPLY] dishonest [PERIOD]
thoughtless [IMPLY] dishonest [PERIOD]
impartial [IMPLY] thoughtless [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   enchanting ∧ bad-tempered ∧ pleasant ⇒ dishonest
   dishonest ∧ crowded ⇒ horrible
   horrible ∧ inquisitive ⇒ spotless
",1,3
"Facts:  Alice is difficult [PERIOD] Alice is mean [PERIOD] Alice is fine [PERIOD] Alice is naughty [PERIOD] Alice is blushing [PERIOD] Alice is stubborn [PERIOD] Alice is gorgeous [PERIOD] Alice is frail [PERIOD] Alice is easy [PERIOD]
Rules:
zealous [AND] stubborn [AND] blushing [IMPLY] fine [PERIOD]
easy [AND] joyous [AND] naughty [IMPLY] stubborn [PERIOD]
frail [AND] easy [IMPLY] adorable [PERIOD]
rational [AND] frail [AND] gorgeous [IMPLY] easy [PERIOD]
lonely [IMPLY] joyous [PERIOD]
fine [AND] adorable [AND] fearless [IMPLY] naughty [PERIOD]
clean [AND] stubborn [IMPLY] blushing [PERIOD]
adorable [AND] blushing [IMPLY] joyous [PERIOD]
helpful [AND] gorgeous [AND] worrisome [IMPLY] adorable [PERIOD]
fine [AND] difficult [AND] worrisome [IMPLY] rational [PERIOD]
frail [AND] easy [AND] stubborn [IMPLY] naughty [PERIOD]
clean [AND] joyous [IMPLY] zealous [PERIOD]
rational [AND] gorgeous [IMPLY] adorable [PERIOD]
mean [IMPLY] fine [PERIOD]
stubborn [IMPLY] helpful [PERIOD]
fine [AND] easy [IMPLY] clean [PERIOD]
frail [AND] stubborn [IMPLY] clean [PERIOD]
blushing [IMPLY] lonely [PERIOD]
fine [IMPLY] mean [PERIOD]
blushing [AND] fearless [AND] difficult [IMPLY] stubborn [PERIOD]
adorable [AND] easy [IMPLY] frail [PERIOD]
clean [AND] naughty [IMPLY] difficult [PERIOD]
rational [AND] helpful [AND] clean [IMPLY] fine [PERIOD]
easy [AND] joyous [AND] frail [IMPLY] naughty [PERIOD]
mean [AND] difficult [IMPLY] naughty [PERIOD]
gorgeous [IMPLY] worrisome [PERIOD]
fearless [IMPLY] rational [PERIOD]
rational [AND] frail [AND] stubborn [IMPLY] blushing [PERIOD]
clean [AND] difficult [IMPLY] worrisome [PERIOD]
mean [AND] naughty [IMPLY] blushing [PERIOD]
lonely [AND] difficult [IMPLY] blushing [PERIOD]
frail [AND] helpful [AND] naughty [IMPLY] zealous [PERIOD]
lonely [AND] adorable [IMPLY] joyous [PERIOD]
joyous [AND] worrisome [AND] mean [IMPLY] helpful [PERIOD]
difficult [AND] adorable [IMPLY] worrisome [PERIOD]
rational [AND] fearless [AND] lonely [IMPLY] fine [PERIOD]
blushing [AND] naughty [AND] clean [IMPLY] easy [PERIOD]
naughty [AND] blushing [IMPLY] zealous [PERIOD]
difficult [AND] fine [IMPLY] frail [PERIOD]
adorable [AND] difficult [IMPLY] rational [PERIOD]
gorgeous [AND] fine [AND] blushing [IMPLY] lonely [PERIOD]
zealous [IMPLY] rational [PERIOD]
joyous [AND] stubborn [IMPLY] easy [PERIOD]
clean [AND] naughty [IMPLY] frail [PERIOD]
difficult [AND] frail [IMPLY] clean [PERIOD]
naughty [AND] stubborn [IMPLY] mean [PERIOD]
fearless [AND] naughty [AND] fine [IMPLY] rational [PERIOD]
lonely [AND] joyous [IMPLY] zealous [PERIOD]
lonely [AND] easy [IMPLY] fine [PERIOD]
clean [IMPLY] mean [PERIOD]
fine [AND] worrisome [AND] rational [IMPLY] lonely [PERIOD]
clean [AND] fearless [IMPLY] mean [PERIOD]
lonely [AND] stubborn [AND] joyous [IMPLY] mean [PERIOD]
rational [AND] adorable [IMPLY] blushing [PERIOD]
blushing [AND] joyous [IMPLY] rational [PERIOD]
adorable [AND] gorgeous [AND] naughty [IMPLY] difficult [PERIOD]
difficult [AND] easy [IMPLY] joyous [PERIOD]
adorable [AND] frail [IMPLY] rational [PERIOD]
clean [AND] difficult [AND] mean [IMPLY] zealous [PERIOD]
blushing [AND] frail [IMPLY] fine [PERIOD]
lonely [IMPLY] frail [PERIOD]
naughty [IMPLY] gorgeous [PERIOD]
mean [AND] fine [AND] lonely [IMPLY] fearless [PERIOD]
joyous [AND] zealous [IMPLY] difficult [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   frail ∧ easy ⇒ adorable
   adorable ∧ difficult ⇒ rational
",1,2
"Facts:  Alice is quaint [PERIOD] Alice is famous [PERIOD] Alice is courageous [PERIOD] Alice is nervous [PERIOD] Alice is bad-tempered [PERIOD] Alice is attractive [PERIOD]
Rules:
courageous [AND] bad-tempered [IMPLY] polite [PERIOD]
impatient [IMPLY] polite [PERIOD]
outstanding [IMPLY] nervous [PERIOD]
courageous [AND] impatient [IMPLY] fine [PERIOD]
famous [IMPLY] courageous [PERIOD]
courageous [AND] ugly [IMPLY] outrageous [PERIOD]
outstanding [AND] courageous [AND] quaint [IMPLY] bad-tempered [PERIOD]
famous [AND] confused [AND] nervous [IMPLY] attractive [PERIOD]
fine [AND] courageous [IMPLY] famous [PERIOD]
ugly [IMPLY] polite [PERIOD]
impatient [IMPLY] nervous [PERIOD]
quaint [AND] shiny [IMPLY] fine [PERIOD]
bad-tempered [AND] nervous [IMPLY] fine [PERIOD]
fine [AND] helpless [IMPLY] impatient [PERIOD]
attractive [AND] fine [AND] impatient [IMPLY] confused [PERIOD]
courageous [AND] famous [AND] outrageous [IMPLY] impatient [PERIOD]
famous [IMPLY] nervous [PERIOD]
confused [AND] nervous [IMPLY] ugly [PERIOD]
fine [AND] attractive [AND] famous [IMPLY] quaint [PERIOD]
confused [AND] polite [AND] ugly [IMPLY] attractive [PERIOD]
ugly [AND] nervous [AND] confused [IMPLY] polite [PERIOD]
quaint [AND] attractive [AND] bad-tempered [IMPLY] confused [PERIOD]
shiny [AND] famous [IMPLY] bad-tempered [PERIOD]
helpless [AND] famous [AND] courageous [IMPLY] bad-tempered [PERIOD]
shiny [AND] helpless [IMPLY] quaint [PERIOD]
outrageous [IMPLY] impatient [PERIOD]
shiny [AND] outstanding [AND] quaint [IMPLY] impatient [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   No rule concludes “helpless.”
",0,1
"Facts:  Alice is attractive [PERIOD] Alice is witty [PERIOD] Alice is dishonest [PERIOD] Alice is hilarious [PERIOD] Alice is spotless [PERIOD] Alice is bored [PERIOD] Alice is messy [PERIOD]
Rules:
hilarious [AND] tender [IMPLY] pleasant [PERIOD]
hilarious [AND] popular [AND] worrisome [IMPLY] lonely [PERIOD]
worrisome [IMPLY] selfish [PERIOD]
tender [AND] dishonest [IMPLY] witty [PERIOD]
reserved [AND] charming [IMPLY] spotless [PERIOD]
lonely [AND] worrisome [AND] hilarious [IMPLY] attractive [PERIOD]
foolish [AND] tender [IMPLY] tame [PERIOD]
popular [AND] charming [AND] spotless [IMPLY] messy [PERIOD]
worrisome [AND] silly [AND] lonely [IMPLY] hilarious [PERIOD]
gleaming [AND] tender [AND] attractive [IMPLY] reserved [PERIOD]
silly [AND] hilarious [IMPLY] messy [PERIOD]
attentive [IMPLY] silly [PERIOD]
dishonest [IMPLY] gleaming [PERIOD]
pleasant [AND] gleaming [IMPLY] hilarious [PERIOD]
gleaming [AND] messy [AND] worrisome [IMPLY] attractive [PERIOD]
dishonest [AND] charming [IMPLY] intellectual [PERIOD]
dishonest [AND] spotless [AND] gleaming [IMPLY] messy [PERIOD]
popular [AND] worrisome [IMPLY] selfish [PERIOD]
dishonest [AND] selfish [IMPLY] reserved [PERIOD]
tame [AND] dishonest [IMPLY] bored [PERIOD]
popular [IMPLY] attractive [PERIOD]
spotless [AND] foolish [AND] intellectual [IMPLY] gleaming [PERIOD]
gleaming [AND] tame [IMPLY] attentive [PERIOD]
tender [AND] attentive [IMPLY] pleasant [PERIOD]
attentive [IMPLY] lonely [PERIOD]
lonely [AND] foolish [IMPLY] messy [PERIOD]
worrisome [IMPLY] tender [PERIOD]
intellectual [AND] attentive [IMPLY] spotless [PERIOD]
popular [AND] intellectual [IMPLY] spotless [PERIOD]
foolish [AND] silly [AND] spotless [IMPLY] reserved [PERIOD]
silly [AND] dishonest [IMPLY] pleasant [PERIOD]
charming [IMPLY] selfish [PERIOD]
attractive [IMPLY] lonely [PERIOD]
attractive [AND] tender [IMPLY] lonely [PERIOD]
tame [AND] charming [IMPLY] silly [PERIOD]
reserved [AND] lonely [AND] bored [IMPLY] spotless [PERIOD]
spotless [AND] silly [AND] selfish [IMPLY] worrisome [PERIOD]
messy [AND] attentive [IMPLY] tame [PERIOD]
worrisome [AND] witty [AND] foolish [IMPLY] hilarious [PERIOD]
lonely [AND] reserved [AND] foolish [IMPLY] selfish [PERIOD]
spotless [AND] attractive [IMPLY] foolish [PERIOD]
selfish [AND] witty [IMPLY] tender [PERIOD]
tender [AND] popular [AND] lonely [IMPLY] intellectual [PERIOD]
tame [AND] lonely [AND] worrisome [IMPLY] hilarious [PERIOD]
spotless [AND] attractive [IMPLY] witty [PERIOD]
selfish [IMPLY] attractive [PERIOD]
attentive [IMPLY] witty [PERIOD]
spotless [AND] hilarious [IMPLY] gleaming [PERIOD]
gleaming [AND] hilarious [AND] pleasant [IMPLY] dishonest [PERIOD]
intellectual [IMPLY] charming [PERIOD]
charming [AND] bored [AND] lonely [IMPLY] messy [PERIOD]
selfish [IMPLY] foolish [PERIOD]
pleasant [AND] hilarious [IMPLY] lonely [PERIOD]
bored [IMPLY] spotless [PERIOD]
charming [IMPLY] tender [PERIOD]
hilarious [IMPLY] attractive [PERIOD]
witty [AND] hilarious [AND] intellectual [IMPLY] worrisome [PERIOD]
intellectual [IMPLY] witty [PERIOD]
bored [AND] hilarious [IMPLY] tame [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   dishonest ⇒ gleaming
   bored ∧ hilarious ⇒ tame
   gleaming ∧ tame ⇒ attentive
   attentive ⇒ silly
",1,4
"Facts:  Alice is polite [PERIOD] Alice is calm [PERIOD] Alice is bright [PERIOD] Alice is beautiful [PERIOD] Alice is tender [PERIOD] Alice is blushing [PERIOD]
Rules:
vivacious [AND] bright [AND] intellectual [IMPLY] cute [PERIOD]
quaint [AND] hurt [AND] polite [IMPLY] tidy [PERIOD]
nervous [IMPLY] cute [PERIOD]
diplomatic [AND] helpless [IMPLY] broad-minded [PERIOD]
calm [AND] polite [AND] tender [IMPLY] hilarious [PERIOD]
stubborn [AND] calm [AND] naughty [IMPLY] cute [PERIOD]
glamorous [AND] hurt [IMPLY] unpleasant [PERIOD]
calm [AND] nervous [AND] blushing [IMPLY] naughty [PERIOD]
tidy [AND] beautiful [AND] hilarious [IMPLY] vivacious [PERIOD]
gleaming [IMPLY] glamorous [PERIOD]
tidy [AND] helpless [AND] stubborn [IMPLY] diplomatic [PERIOD]
broad-minded [IMPLY] naughty [PERIOD]
unpleasant [AND] foolish [AND] quaint [IMPLY] hilarious [PERIOD]
stubborn [IMPLY] calm [PERIOD]
vivacious [IMPLY] beautiful [PERIOD]
glamorous [AND] bright [AND] hilarious [IMPLY] unpleasant [PERIOD]
blushing [AND] intellectual [AND] quaint [IMPLY] broad-minded [PERIOD]
gleaming [AND] diplomatic [IMPLY] bright [PERIOD]
unpleasant [IMPLY] glamorous [PERIOD]
glamorous [AND] broad-minded [IMPLY] gleaming [PERIOD]
broad-minded [IMPLY] bright [PERIOD]
naughty [AND] polite [IMPLY] tender [PERIOD]
polite [AND] stubborn [IMPLY] cute [PERIOD]
calm [AND] diplomatic [IMPLY] tender [PERIOD]
tidy [IMPLY] glamorous [PERIOD]
glamorous [AND] broad-minded [IMPLY] nervous [PERIOD]
foolish [AND] beautiful [IMPLY] tender [PERIOD]
polite [AND] stubborn [AND] blushing [IMPLY] tidy [PERIOD]
quaint [IMPLY] hurt [PERIOD]
nervous [IMPLY] helpless [PERIOD]
blushing [AND] gleaming [AND] diplomatic [IMPLY] cute [PERIOD]
quaint [AND] gleaming [IMPLY] broad-minded [PERIOD]
nervous [AND] glamorous [IMPLY] gleaming [PERIOD]
bright [IMPLY] unpleasant [PERIOD]
diplomatic [AND] vivacious [IMPLY] helpless [PERIOD]
hilarious [AND] calm [AND] gleaming [IMPLY] unpleasant [PERIOD]
tender [AND] hilarious [AND] beautiful [IMPLY] helpless [PERIOD]
diplomatic [AND] beautiful [IMPLY] nervous [PERIOD]
diplomatic [IMPLY] tidy [PERIOD]
foolish [AND] blushing [IMPLY] unpleasant [PERIOD]
vivacious [IMPLY] tidy [PERIOD]
beautiful [IMPLY] quaint [PERIOD]
tidy [AND] gleaming [AND] calm [IMPLY] foolish [PERIOD]
vivacious [AND] nervous [AND] quaint [IMPLY] blushing [PERIOD]
helpless [AND] quaint [AND] unpleasant [IMPLY] gleaming [PERIOD]
tender [AND] gleaming [IMPLY] glamorous [PERIOD]
hilarious [IMPLY] nervous [PERIOD]
naughty [AND] beautiful [IMPLY] foolish [PERIOD]
unpleasant [IMPLY] polite [PERIOD]
broad-minded [AND] stubborn [AND] beautiful [IMPLY] hilarious [PERIOD]
glamorous [IMPLY] bright [PERIOD]
blushing [AND] cute [AND] foolish [IMPLY] intellectual [PERIOD]
cute [IMPLY] foolish [PERIOD]
vivacious [AND] tidy [IMPLY] gleaming [PERIOD]
broad-minded [AND] nervous [AND] glamorous [IMPLY] tidy [PERIOD]
quaint [AND] stubborn [AND] broad-minded [IMPLY] hilarious [PERIOD]
tidy [AND] bright [AND] nervous [IMPLY] broad-minded [PERIOD]
beautiful [AND] diplomatic [AND] hurt [IMPLY] foolish [PERIOD]
tidy [IMPLY] intellectual [PERIOD]
quaint [AND] calm [IMPLY] gleaming [PERIOD]
vivacious [AND] gleaming [IMPLY] cute [PERIOD]
hilarious [AND] bright [IMPLY] cute [PERIOD]
gleaming [AND] tender [IMPLY] cute [PERIOD]
stubborn [AND] unpleasant [IMPLY] calm [PERIOD]
gleaming [AND] polite [IMPLY] intellectual [PERIOD]
vivacious [IMPLY] gleaming [PERIOD]
broad-minded [AND] vivacious [AND] helpless [IMPLY] quaint [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   calm ∧ polite ∧ tender ⇒ hilarious
   hilarious ⇒ nervous
",1,2
"Facts:  Alice is powerful [PERIOD] Alice is calm [PERIOD] Alice is outrageous [PERIOD] Alice is stupid [PERIOD] Alice is cruel [PERIOD] Alice is supportive [PERIOD] Alice is charming [PERIOD] Alice is friendly [PERIOD] Alice is excited [PERIOD]
Rules:
helpless [IMPLY] elegant [PERIOD]
bright [IMPLY] frantic [PERIOD]
precious [IMPLY] clean [PERIOD]
cruel [IMPLY] supportive [PERIOD]
crowded [AND] stupid [AND] quaint [IMPLY] supportive [PERIOD]
silly [IMPLY] quaint [PERIOD]
powerful [IMPLY] victorious [PERIOD]
frantic [AND] clean [AND] tidy [IMPLY] bright [PERIOD]
cruel [IMPLY] helpless [PERIOD]
frantic [AND] crowded [AND] supportive [IMPLY] silly [PERIOD]
outrageous [AND] clean [AND] naughty [IMPLY] bright [PERIOD]
quaint [AND] diplomatic [AND] powerful [IMPLY] clean [PERIOD]
pleasant [AND] precious [IMPLY] friendly [PERIOD]
frantic [AND] stupid [IMPLY] cruel [PERIOD]
joyous [AND] naughty [AND] frantic [IMPLY] clean [PERIOD]
diplomatic [IMPLY] helpful [PERIOD]
joyous [AND] precious [AND] quaint [IMPLY] diplomatic [PERIOD]
helpless [AND] charming [AND] diplomatic [IMPLY] calm [PERIOD]
fearless [AND] silly [IMPLY] crowded [PERIOD]
quaint [AND] bright [AND] excited [IMPLY] friendly [PERIOD]
calm [IMPLY] diplomatic [PERIOD]
tidy [IMPLY] muddy [PERIOD]
victorious [IMPLY] friendly [PERIOD]
tame [AND] excited [IMPLY] frantic [PERIOD]
clean [AND] powerful [AND] cruel [IMPLY] tidy [PERIOD]
charming [AND] fearless [IMPLY] victorious [PERIOD]
cruel [IMPLY] crowded [PERIOD]
quaint [IMPLY] plain [PERIOD]
elegant [IMPLY] bright [PERIOD]
calm [AND] rational [AND] helpful [IMPLY] clean [PERIOD]
pleasant [AND] calm [IMPLY] crowded [PERIOD]
cruel [AND] tidy [AND] precious [IMPLY] outrageous [PERIOD]
helpful [AND] frantic [IMPLY] pleasant [PERIOD]
plain [AND] victorious [AND] calm [IMPLY] supportive [PERIOD]
friendly [AND] cruel [IMPLY] rational [PERIOD]
crowded [AND] frantic [IMPLY] fearless [PERIOD]
pleasant [AND] naughty [AND] helpful [IMPLY] outrageous [PERIOD]
fearless [IMPLY] frantic [PERIOD]
rational [IMPLY] quaint [PERIOD]
diplomatic [AND] muddy [AND] supportive [IMPLY] rational [PERIOD]
bright [AND] helpful [AND] supportive [IMPLY] plain [PERIOD]
rational [IMPLY] naughty [PERIOD]
helpless [IMPLY] quaint [PERIOD]
muddy [AND] stupid [IMPLY] crowded [PERIOD]
helpful [AND] supportive [AND] tidy [IMPLY] frantic [PERIOD]
victorious [AND] friendly [IMPLY] fearless [PERIOD]
precious [IMPLY] supportive [PERIOD]
charming [AND] outrageous [AND] helpful [IMPLY] silly [PERIOD]
calm [IMPLY] outrageous [PERIOD]
crowded [AND] joyous [IMPLY] friendly [PERIOD]
calm [IMPLY] charming [PERIOD]
tidy [AND] cruel [AND] calm [IMPLY] plain [PERIOD]
clean [AND] victorious [AND] elegant [IMPLY] silly [PERIOD]
pleasant [AND] charming [IMPLY] precious [PERIOD]
rational [IMPLY] fearless [PERIOD]
bright [IMPLY] precious [PERIOD]
bright [IMPLY] diplomatic [PERIOD]
outrageous [AND] crowded [IMPLY] elegant [PERIOD]
plain [AND] naughty [IMPLY] precious [PERIOD]
elegant [AND] tidy [IMPLY] silly [PERIOD]
victorious [IMPLY] crowded [PERIOD]
victorious [AND] calm [AND] bright [IMPLY] tidy [PERIOD]
fearless [AND] crowded [IMPLY] friendly [PERIOD]
rational [IMPLY] powerful [PERIOD]
clean [AND] frantic [IMPLY] cruel [PERIOD]
tidy [AND] charming [AND] precious [IMPLY] supportive [PERIOD]
quaint [AND] excited [AND] victorious [IMPLY] powerful [PERIOD]
rational [AND] powerful [IMPLY] joyous [PERIOD]
elegant [AND] friendly [IMPLY] naughty [PERIOD]
frantic [AND] tame [AND] calm [IMPLY] clean [PERIOD]
fearless [IMPLY] excited [PERIOD]
muddy [AND] powerful [IMPLY] supportive [PERIOD]
charming [IMPLY] rational [PERIOD]
tidy [AND] silly [IMPLY] powerful [PERIOD]
tame [AND] naughty [IMPLY] joyous [PERIOD]
bright [IMPLY] crowded [PERIOD]
stupid [IMPLY] rational [PERIOD]
fearless [IMPLY] pleasant [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is blushing [PERIOD] Alice is distinct [PERIOD] Alice is serious [PERIOD]
Rules:
distinct [AND] spotless [IMPLY] talkative [PERIOD]
sincere [IMPLY] busy [PERIOD]
weary [AND] distinct [IMPLY] serious [PERIOD]
spotless [AND] talkative [IMPLY] wrong [PERIOD]
serious [AND] busy [IMPLY] distinct [PERIOD]
spotless [IMPLY] talkative [PERIOD]
busy [AND] sincere [AND] crowded [IMPLY] distinct [PERIOD]
ugliest [IMPLY] busy [PERIOD]
distinct [AND] serious [AND] blushing [IMPLY] wrong [PERIOD]
crowded [AND] distinct [IMPLY] serious [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   Cannot apply rule “distinct ∧ spotless ⇒ talkative” because missing: spotless.
   Cannot apply rule “spotless ⇒ talkative” because missing: spotless.
",0,2
"Facts:  Alice is exuberant [PERIOD] Alice is wandering [PERIOD] Alice is lonely [PERIOD] Alice is sensible [PERIOD] Alice is stormy [PERIOD] Alice is versatile [PERIOD] Alice is diplomatic [PERIOD] Alice is pessimistic [PERIOD] Alice is helpful [PERIOD] Alice is loving [PERIOD] Alice is difficult [PERIOD] Alice is fancy [PERIOD] Alice is fine [PERIOD] Alice is impatient [PERIOD] Alice is condemned [PERIOD] Alice is perfect [PERIOD]
Rules:
difficult [IMPLY] fancy [PERIOD]
ugliest [AND] fancy [AND] disgusted [IMPLY] selfish [PERIOD]
diplomatic [AND] selfish [AND] aggressive [IMPLY] perfect [PERIOD]
aggressive [IMPLY] exuberant [PERIOD]
diplomatic [IMPLY] helpful [PERIOD]
helpful [AND] lonely [AND] gleaming [IMPLY] alert [PERIOD]
pessimistic [AND] wandering [IMPLY] loving [PERIOD]
condemned [AND] perfect [AND] difficult [IMPLY] wandering [PERIOD]
ugliest [AND] impatient [IMPLY] sensible [PERIOD]
disgusted [IMPLY] dishonest [PERIOD]
diplomatic [AND] perfect [IMPLY] exuberant [PERIOD]
easy [IMPLY] alert [PERIOD]
stormy [AND] fine [IMPLY] exuberant [PERIOD]
stormy [IMPLY] loving [PERIOD]
dull [AND] enchanting [IMPLY] lonely [PERIOD]
bright [AND] sensible [IMPLY] loving [PERIOD]
selfish [AND] sensible [IMPLY] stormy [PERIOD]
condemned [AND] difficult [AND] enchanting [IMPLY] dull [PERIOD]
easy [AND] bright [AND] disgusted [IMPLY] enchanting [PERIOD]
exuberant [AND] alert [AND] easy [IMPLY] condemned [PERIOD]
perfect [AND] pessimistic [IMPLY] enchanting [PERIOD]
selfish [IMPLY] fancy [PERIOD]
gleaming [IMPLY] loving [PERIOD]
dull [IMPLY] stormy [PERIOD]
enchanting [IMPLY] condemned [PERIOD]
wandering [IMPLY] gleaming [PERIOD]
fine [AND] alert [AND] disgusted [IMPLY] bright [PERIOD]
exuberant [IMPLY] enchanting [PERIOD]
versatile [AND] bright [AND] alert [IMPLY] perfect [PERIOD]
perfect [AND] diplomatic [AND] wandering [IMPLY] alert [PERIOD]
impatient [IMPLY] easy [PERIOD]
ugliest [IMPLY] exuberant [PERIOD]
enchanting [AND] dishonest [IMPLY] easy [PERIOD]
sensible [AND] lonely [IMPLY] aggressive [PERIOD]
lonely [IMPLY] ugliest [PERIOD]
ugliest [IMPLY] dishonest [PERIOD]
diplomatic [AND] enchanting [AND] dishonest [IMPLY] easy [PERIOD]
sensible [AND] pessimistic [IMPLY] versatile [PERIOD]
diplomatic [AND] stormy [AND] versatile [IMPLY] selfish [PERIOD]
condemned [AND] impatient [AND] sensible [IMPLY] fine [PERIOD]
loving [AND] impatient [AND] diplomatic [IMPLY] condemned [PERIOD]
diplomatic [IMPLY] impatient [PERIOD]
perfect [AND] easy [AND] bright [IMPLY] impatient [PERIOD]
exuberant [AND] pessimistic [IMPLY] impatient [PERIOD]
disgusted [AND] alert [AND] helpful [IMPLY] loving [PERIOD]
diplomatic [AND] selfish [IMPLY] condemned [PERIOD]
wandering [AND] dishonest [IMPLY] helpful [PERIOD]
versatile [IMPLY] difficult [PERIOD]
fancy [AND] lonely [IMPLY] ugliest [PERIOD]
enchanting [AND] aggressive [AND] dull [IMPLY] disgusted [PERIOD]
difficult [IMPLY] exuberant [PERIOD]
Query: Alice is disgusted [PERIOD]","Proof chain:
   exuberant ⇒ enchanting
   sensible ∧ lonely ⇒ aggressive
   exuberant ⇒ enchanting
   condemned ∧ difficult ∧ enchanting ⇒ dull
   enchanting ∧ aggressive ∧ dull ⇒ disgusted
",1,5
"Facts:  Alice is vivacious [PERIOD] Alice is ugly [PERIOD] Alice is tense [PERIOD] Alice is worried [PERIOD] Alice is embarrassed [PERIOD] Alice is friendly [PERIOD] Alice is stupid [PERIOD] Alice is average [PERIOD] Alice is wrong [PERIOD] Alice is comfortable [PERIOD] Alice is curious [PERIOD]
Rules:
smart [AND] wrong [AND] comfortable [IMPLY] perfect [PERIOD]
average [IMPLY] muddy [PERIOD]
wrong [AND] comfortable [AND] curious [IMPLY] ugly [PERIOD]
worried [AND] vivacious [AND] curious [IMPLY] tense [PERIOD]
ugly [IMPLY] smart [PERIOD]
vivacious [IMPLY] curious [PERIOD]
worried [AND] ugly [AND] comfortable [IMPLY] tense [PERIOD]
tense [AND] average [AND] worried [IMPLY] curious [PERIOD]
tense [IMPLY] muddy [PERIOD]
attractive [AND] stupid [IMPLY] smart [PERIOD]
wrong [AND] embarrassed [IMPLY] average [PERIOD]
wrong [AND] friendly [IMPLY] ugly [PERIOD]
friendly [AND] muddy [IMPLY] smart [PERIOD]
muddy [AND] comfortable [IMPLY] perfect [PERIOD]
wrong [IMPLY] ugly [PERIOD]
worried [AND] tense [IMPLY] average [PERIOD]
stupid [AND] perfect [IMPLY] curious [PERIOD]
vivacious [IMPLY] muddy [PERIOD]
wrong [AND] tense [AND] perfect [IMPLY] worried [PERIOD]
smart [IMPLY] muddy [PERIOD]
average [AND] muddy [IMPLY] curious [PERIOD]
friendly [AND] embarrassed [IMPLY] worried [PERIOD]
perfect [AND] ugly [AND] comfortable [IMPLY] worried [PERIOD]
vivacious [AND] curious [IMPLY] ugly [PERIOD]
attractive [AND] comfortable [IMPLY] tense [PERIOD]
ugly [IMPLY] perfect [PERIOD]
wrong [AND] vivacious [IMPLY] friendly [PERIOD]
perfect [AND] embarrassed [AND] ugly [IMPLY] friendly [PERIOD]
ugly [AND] vivacious [IMPLY] comfortable [PERIOD]
curious [AND] friendly [AND] average [IMPLY] comfortable [PERIOD]
muddy [IMPLY] friendly [PERIOD]
friendly [AND] smart [IMPLY] worried [PERIOD]
wrong [AND] worried [IMPLY] average [PERIOD]
smart [IMPLY] attractive [PERIOD]
friendly [IMPLY] curious [PERIOD]
friendly [AND] attractive [IMPLY] worried [PERIOD]
wrong [IMPLY] attractive [PERIOD]
embarrassed [AND] tense [IMPLY] stupid [PERIOD]
curious [IMPLY] smart [PERIOD]
worried [AND] comfortable [IMPLY] stupid [PERIOD]
worried [AND] curious [AND] friendly [IMPLY] average [PERIOD]
perfect [AND] curious [AND] embarrassed [IMPLY] smart [PERIOD]
friendly [AND] muddy [AND] attractive [IMPLY] ugly [PERIOD]
ugly [AND] comfortable [IMPLY] stupid [PERIOD]
wrong [AND] perfect [AND] vivacious [IMPLY] muddy [PERIOD]
average [AND] perfect [AND] muddy [IMPLY] tense [PERIOD]
stupid [AND] curious [IMPLY] friendly [PERIOD]
stupid [AND] worried [IMPLY] friendly [PERIOD]
worried [AND] ugly [AND] average [IMPLY] smart [PERIOD]
average [IMPLY] attractive [PERIOD]
worried [AND] friendly [AND] ugly [IMPLY] curious [PERIOD]
worried [IMPLY] curious [PERIOD]
wrong [IMPLY] muddy [PERIOD]
smart [AND] tense [AND] average [IMPLY] curious [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   average ⇒ muddy
",1,1
"Facts:  Alice is ugly [PERIOD]
Rules:
unpleasant [AND] ugly [IMPLY] worrisome [PERIOD]
bright [IMPLY] charming [PERIOD]
lonely [AND] blushing [AND] charming [IMPLY] inquisitive [PERIOD]
good [AND] impatient [AND] lonely [IMPLY] calm [PERIOD]
fragile [AND] broad-minded [IMPLY] good [PERIOD]
weary [AND] calm [IMPLY] worrisome [PERIOD]
good [AND] joyous [IMPLY] charming [PERIOD]
bright [IMPLY] rude [PERIOD]
calm [AND] weary [IMPLY] impatient [PERIOD]
frantic [IMPLY] fine [PERIOD]
charming [IMPLY] stormy [PERIOD]
stormy [AND] worrisome [IMPLY] rude [PERIOD]
different [AND] bright [AND] ugly [IMPLY] calm [PERIOD]
bright [AND] weary [AND] fine [IMPLY] unpleasant [PERIOD]
fragile [IMPLY] comfortable [PERIOD]
bright [IMPLY] joyous [PERIOD]
worrisome [AND] different [IMPLY] rude [PERIOD]
charming [AND] impatient [IMPLY] good [PERIOD]
lonely [AND] good [IMPLY] stormy [PERIOD]
broad-minded [AND] bad-tempered [AND] worrisome [IMPLY] different [PERIOD]
blushing [AND] bright [IMPLY] inquisitive [PERIOD]
joyous [AND] inquisitive [AND] broad-minded [IMPLY] bright [PERIOD]
bad-tempered [AND] weary [IMPLY] broad-minded [PERIOD]
bad-tempered [IMPLY] good [PERIOD]
lonely [AND] frantic [AND] fine [IMPLY] blushing [PERIOD]
frantic [AND] impatient [AND] charming [IMPLY] bright [PERIOD]
inquisitive [AND] frantic [AND] broad-minded [IMPLY] stormy [PERIOD]
fine [AND] different [IMPLY] ugly [PERIOD]
hilarious [AND] stormy [AND] supportive [IMPLY] lonely [PERIOD]
bright [AND] hilarious [AND] broad-minded [IMPLY] ugly [PERIOD]
broad-minded [AND] fragile [AND] unpleasant [IMPLY] different [PERIOD]
charming [IMPLY] bright [PERIOD]
calm [AND] good [IMPLY] weary [PERIOD]
worrisome [AND] inquisitive [AND] unpleasant [IMPLY] lonely [PERIOD]
comfortable [AND] frantic [IMPLY] rude [PERIOD]
stormy [AND] inquisitive [IMPLY] hilarious [PERIOD]
supportive [AND] joyous [IMPLY] good [PERIOD]
frantic [AND] calm [AND] charming [IMPLY] stormy [PERIOD]
ugly [IMPLY] lonely [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   Cannot apply rule “charming ⇒ stormy” because missing: charming.
   ugly ⇒ lonely
   Cannot apply rule “lonely ∧ good ⇒ stormy” because missing: good.
   Cannot apply rule “inquisitive ∧ frantic ∧ broad-minded ⇒ stormy” because missing: inquisitive, frantic, broad-minded.
   Cannot apply rule “frantic ∧ calm ∧ charming ⇒ stormy” because missing: frantic, calm, charming.
",0,5
"Facts:  Alice is average [PERIOD] Alice is rational [PERIOD] Alice is worried [PERIOD] Alice is rude [PERIOD] Alice is disobedient [PERIOD] Alice is busy [PERIOD] Alice is silly [PERIOD] Alice is combative [PERIOD] Alice is polite [PERIOD] Alice is homely [PERIOD] Alice is modern [PERIOD] Alice is powerful [PERIOD]
Rules:
homely [IMPLY] victorious [PERIOD]
silly [AND] combative [IMPLY] polite [PERIOD]
distinct [IMPLY] victorious [PERIOD]
rude [AND] polite [AND] worried [IMPLY] busy [PERIOD]
modern [AND] rational [IMPLY] rude [PERIOD]
worried [IMPLY] distinct [PERIOD]
rational [AND] distinct [AND] worried [IMPLY] average [PERIOD]
combative [AND] distinct [AND] confused [IMPLY] rude [PERIOD]
powerful [IMPLY] average [PERIOD]
polite [AND] hurt [IMPLY] victorious [PERIOD]
rational [AND] powerful [AND] hurt [IMPLY] worried [PERIOD]
confused [AND] victorious [IMPLY] modern [PERIOD]
confused [AND] polite [AND] rational [IMPLY] worried [PERIOD]
victorious [AND] worried [IMPLY] confused [PERIOD]
homely [AND] distinct [IMPLY] combative [PERIOD]
homely [IMPLY] disobedient [PERIOD]
disobedient [AND] confused [IMPLY] busy [PERIOD]
hurt [AND] silly [AND] rational [IMPLY] confused [PERIOD]
silly [AND] rude [AND] disobedient [IMPLY] combative [PERIOD]
confused [IMPLY] worried [PERIOD]
distinct [AND] combative [AND] worried [IMPLY] rational [PERIOD]
Query: Alice is distinct [PERIOD]","Proof chain:
   worried ⇒ distinct
",1,1
"Facts:  Alice is bad-tempered [PERIOD] Alice is stormy [PERIOD] Alice is smart [PERIOD] Alice is grumpy [PERIOD] Alice is talented [PERIOD]
Rules:
dishonest [IMPLY] talented [PERIOD]
excited [AND] clean [AND] talented [IMPLY] elated [PERIOD]
confused [AND] elated [AND] excited [IMPLY] tender [PERIOD]
grumpy [AND] excited [IMPLY] confused [PERIOD]
talented [AND] bad-tempered [AND] amused [IMPLY] ambitious [PERIOD]
elated [AND] confused [AND] disobedient [IMPLY] tender [PERIOD]
elated [AND] gifted [AND] amused [IMPLY] stormy [PERIOD]
confused [IMPLY] disobedient [PERIOD]
grumpy [AND] amused [AND] gifted [IMPLY] disobedient [PERIOD]
gifted [IMPLY] tender [PERIOD]
stormy [AND] supportive [AND] talented [IMPLY] dishonest [PERIOD]
supportive [IMPLY] amused [PERIOD]
ambitious [AND] clean [IMPLY] smart [PERIOD]
disobedient [AND] clean [AND] tender [IMPLY] excited [PERIOD]
gifted [AND] stormy [AND] clean [IMPLY] amused [PERIOD]
amused [IMPLY] talented [PERIOD]
amused [AND] smart [IMPLY] elated [PERIOD]
excited [IMPLY] dishonest [PERIOD]
disobedient [AND] grumpy [AND] clean [IMPLY] elated [PERIOD]
supportive [AND] amused [AND] disobedient [IMPLY] confused [PERIOD]
dishonest [AND] supportive [IMPLY] tender [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   Cannot apply rule “excited ∧ clean ∧ talented ⇒ elated” because missing: excited, clean.
   Cannot apply rule “amused ∧ smart ⇒ elated” because missing: amused.
   Cannot apply rule “disobedient ∧ grumpy ∧ clean ⇒ elated” because missing: disobedient, clean.
",0,3
"Facts:  Alice is naughty [PERIOD] Alice is helpless [PERIOD] Alice is inquisitive [PERIOD] Alice is polite [PERIOD]
Rules:
tame [IMPLY] bright [PERIOD]
worried [IMPLY] helpful [PERIOD]
grumpy [AND] glamorous [IMPLY] tame [PERIOD]
worried [IMPLY] helpless [PERIOD]
thoughtful [AND] fine [IMPLY] inquisitive [PERIOD]
dishonest [AND] light [IMPLY] bright [PERIOD]
thoughtful [AND] naughty [AND] helpful [IMPLY] grumpy [PERIOD]
naughty [AND] bright [AND] fine [IMPLY] tame [PERIOD]
supportive [AND] selfish [AND] fine [IMPLY] naughty [PERIOD]
bright [IMPLY] helpful [PERIOD]
impartial [AND] selfish [AND] outrageous [IMPLY] supportive [PERIOD]
grumpy [AND] light [AND] worried [IMPLY] embarrassed [PERIOD]
supportive [AND] inquisitive [AND] bright [IMPLY] outrageous [PERIOD]
impartial [AND] selfish [AND] naughty [IMPLY] dishonest [PERIOD]
supportive [AND] dishonest [IMPLY] glamorous [PERIOD]
grumpy [AND] light [AND] helpful [IMPLY] outrageous [PERIOD]
dishonest [AND] thoughtful [AND] glamorous [IMPLY] impartial [PERIOD]
dishonest [AND] naughty [IMPLY] light [PERIOD]
fine [AND] inquisitive [AND] outrageous [IMPLY] selfish [PERIOD]
tame [AND] inquisitive [AND] thoughtful [IMPLY] helpless [PERIOD]
light [AND] inquisitive [AND] fine [IMPLY] outrageous [PERIOD]
light [AND] outrageous [AND] helpful [IMPLY] tame [PERIOD]
glamorous [AND] dishonest [IMPLY] worried [PERIOD]
fine [AND] worried [IMPLY] helpful [PERIOD]
supportive [AND] light [IMPLY] naughty [PERIOD]
grumpy [AND] glamorous [IMPLY] thoughtful [PERIOD]
outrageous [AND] inquisitive [AND] glamorous [IMPLY] light [PERIOD]
grumpy [IMPLY] glamorous [PERIOD]
fine [AND] worried [IMPLY] outrageous [PERIOD]
grumpy [AND] supportive [AND] dishonest [IMPLY] naughty [PERIOD]
inquisitive [IMPLY] bright [PERIOD]
impartial [IMPLY] worried [PERIOD]
selfish [AND] polite [IMPLY] grumpy [PERIOD]
bright [IMPLY] worried [PERIOD]
naughty [IMPLY] thoughtful [PERIOD]
grumpy [IMPLY] helpful [PERIOD]
grumpy [AND] naughty [IMPLY] glamorous [PERIOD]
bright [AND] dishonest [AND] light [IMPLY] impartial [PERIOD]
outrageous [AND] grumpy [IMPLY] light [PERIOD]
helpful [AND] dishonest [IMPLY] polite [PERIOD]
helpless [AND] embarrassed [AND] naughty [IMPLY] bright [PERIOD]
impartial [AND] selfish [AND] light [IMPLY] outrageous [PERIOD]
grumpy [AND] inquisitive [AND] worried [IMPLY] embarrassed [PERIOD]
thoughtful [AND] bright [AND] selfish [IMPLY] light [PERIOD]
bright [IMPLY] outrageous [PERIOD]
grumpy [AND] helpless [AND] embarrassed [IMPLY] thoughtful [PERIOD]
polite [IMPLY] inquisitive [PERIOD]
naughty [AND] bright [IMPLY] light [PERIOD]
impartial [IMPLY] thoughtful [PERIOD]
bright [AND] dishonest [AND] outrageous [IMPLY] naughty [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   naughty ⇒ thoughtful
   inquisitive ⇒ bright
   bright ⇒ helpful
   thoughtful ∧ naughty ∧ helpful ⇒ grumpy
   grumpy ⇒ glamorous
",1,5
"Facts:  Alice is different [PERIOD] Alice is alert [PERIOD] Alice is frantic [PERIOD] Alice is cute [PERIOD] Alice is excited [PERIOD] Alice is distinct [PERIOD] Alice is thoughtful [PERIOD] Alice is talkative [PERIOD] Alice is perfect [PERIOD] Alice is lonely [PERIOD] Alice is messy [PERIOD] Alice is muddy [PERIOD] Alice is hypocritical [PERIOD] Alice is rude [PERIOD] Alice is talented [PERIOD] Alice is naughty [PERIOD] Alice is careless [PERIOD] Alice is gifted [PERIOD] Alice is reserved [PERIOD]
Rules:
cute [AND] distinct [IMPLY] excited [PERIOD]
reserved [AND] talkative [IMPLY] alert [PERIOD]
talented [AND] frantic [AND] cute [IMPLY] gifted [PERIOD]
lonely [AND] messy [IMPLY] fragile [PERIOD]
talkative [IMPLY] naughty [PERIOD]
alert [AND] talented [AND] thoughtful [IMPLY] perfect [PERIOD]
perfect [AND] naughty [AND] muddy [IMPLY] talented [PERIOD]
careless [AND] talkative [IMPLY] alert [PERIOD]
excited [IMPLY] thoughtful [PERIOD]
alert [AND] careless [AND] lonely [IMPLY] excited [PERIOD]
hypocritical [AND] gifted [AND] talkative [IMPLY] messy [PERIOD]
excited [AND] talkative [AND] hypocritical [IMPLY] cute [PERIOD]
talkative [AND] perfect [AND] hypocritical [IMPLY] reserved [PERIOD]
talkative [IMPLY] excited [PERIOD]
hypocritical [AND] gifted [IMPLY] talkative [PERIOD]
naughty [IMPLY] talented [PERIOD]
fragile [AND] perfect [AND] frantic [IMPLY] lonely [PERIOD]
frantic [AND] thoughtful [AND] talkative [IMPLY] talented [PERIOD]
reserved [AND] hypocritical [IMPLY] muddy [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
",1,0
"Facts: 
Rules:
good [IMPLY] distinct [PERIOD]
adorable [AND] distinct [IMPLY] talkative [PERIOD]
modern [IMPLY] uptight [PERIOD]
stupid [AND] unpleasant [AND] horrible [IMPLY] outstanding [PERIOD]
average [IMPLY] lonely [PERIOD]
outstanding [AND] spotless [IMPLY] modern [PERIOD]
average [AND] curious [AND] horrible [IMPLY] hilarious [PERIOD]
outstanding [AND] good [IMPLY] frail [PERIOD]
talkative [IMPLY] average [PERIOD]
stupid [IMPLY] unpleasant [PERIOD]
adorable [AND] outstanding [IMPLY] cute [PERIOD]
average [IMPLY] bad-tempered [PERIOD]
easy [AND] stupid [AND] spotless [IMPLY] hilarious [PERIOD]
attentive [AND] distinct [IMPLY] wandering [PERIOD]
distinct [IMPLY] attentive [PERIOD]
average [AND] good [AND] bad-tempered [IMPLY] attentive [PERIOD]
uptight [IMPLY] cute [PERIOD]
curious [AND] elegant [AND] stupid [IMPLY] distinct [PERIOD]
uptight [AND] easy [IMPLY] average [PERIOD]
tense [AND] adorable [AND] good [IMPLY] frail [PERIOD]
elegant [AND] hilarious [AND] attentive [IMPLY] easy [PERIOD]
unpleasant [AND] attentive [IMPLY] talkative [PERIOD]
average [AND] good [IMPLY] frail [PERIOD]
curious [IMPLY] outstanding [PERIOD]
hilarious [IMPLY] good [PERIOD]
unpleasant [AND] hilarious [AND] horrible [IMPLY] good [PERIOD]
outstanding [AND] hilarious [IMPLY] elegant [PERIOD]
average [IMPLY] easy [PERIOD]
lonely [IMPLY] curious [PERIOD]
cute [IMPLY] distinct [PERIOD]
easy [IMPLY] good [PERIOD]
frail [AND] lonely [AND] curious [IMPLY] cute [PERIOD]
outstanding [AND] elegant [IMPLY] bad-tempered [PERIOD]
hilarious [IMPLY] horrible [PERIOD]
uptight [AND] easy [AND] modern [IMPLY] bad-tempered [PERIOD]
attentive [AND] easy [AND] wandering [IMPLY] bad-tempered [PERIOD]
easy [AND] elegant [IMPLY] hilarious [PERIOD]
modern [AND] bad-tempered [AND] good [IMPLY] distinct [PERIOD]
modern [AND] elegant [AND] average [IMPLY] unpleasant [PERIOD]
hilarious [AND] stupid [AND] unpleasant [IMPLY] outstanding [PERIOD]
unpleasant [IMPLY] cute [PERIOD]
good [IMPLY] adorable [PERIOD]
modern [AND] frail [AND] lonely [IMPLY] outstanding [PERIOD]
attentive [IMPLY] hilarious [PERIOD]
bad-tempered [AND] unpleasant [IMPLY] spotless [PERIOD]
cute [AND] tense [IMPLY] lonely [PERIOD]
wandering [AND] horrible [IMPLY] unpleasant [PERIOD]
frail [IMPLY] outstanding [PERIOD]
frail [IMPLY] good [PERIOD]
bad-tempered [AND] spotless [IMPLY] outstanding [PERIOD]
cute [IMPLY] modern [PERIOD]
talkative [IMPLY] curious [PERIOD]
cute [AND] uptight [AND] lonely [IMPLY] elegant [PERIOD]
modern [AND] unpleasant [AND] good [IMPLY] outstanding [PERIOD]
frail [AND] lonely [IMPLY] outstanding [PERIOD]
attentive [IMPLY] elegant [PERIOD]
Query: Alice is curious [PERIOD]","Proof chain:
   Cannot apply rule “lonely ⇒ curious” because missing: lonely.
   Cannot apply rule “talkative ⇒ curious” because missing: talkative.
",0,2
"Facts: 
Rules:
perfect [AND] crowded [IMPLY] charming [PERIOD]
perfect [IMPLY] vivacious [PERIOD]
perfect [AND] crowded [IMPLY] vivacious [PERIOD]
perfect [IMPLY] charming [PERIOD]
crowded [AND] charming [AND] vivacious [IMPLY] tired [PERIOD]
crowded [AND] tired [IMPLY] perfect [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
   Cannot apply rule “perfect ⇒ vivacious” because missing: perfect.
   Cannot apply rule “perfect ∧ crowded ⇒ vivacious” because missing: perfect, crowded.
",0,2
"Facts:  Alice is curious [PERIOD] Alice is famous [PERIOD] Alice is mean [PERIOD] Alice is difficult [PERIOD]
Rules:
impatient [AND] mean [IMPLY] curious [PERIOD]
difficult [AND] mean [IMPLY] curious [PERIOD]
rational [IMPLY] worried [PERIOD]
vivacious [AND] dull [AND] worried [IMPLY] tame [PERIOD]
selfish [AND] helpless [AND] rude [IMPLY] famous [PERIOD]
mean [AND] wrong [AND] selfish [IMPLY] impatient [PERIOD]
wrong [AND] loving [AND] worried [IMPLY] rational [PERIOD]
selfish [AND] precious [AND] impatient [IMPLY] light [PERIOD]
famous [AND] wrong [IMPLY] rude [PERIOD]
difficult [AND] worried [AND] loving [IMPLY] rational [PERIOD]
famous [IMPLY] vivacious [PERIOD]
precious [AND] helpless [AND] rational [IMPLY] mean [PERIOD]
light [IMPLY] rude [PERIOD]
mean [IMPLY] precious [PERIOD]
precious [AND] wrong [IMPLY] impatient [PERIOD]
selfish [AND] mean [IMPLY] worried [PERIOD]
difficult [IMPLY] wrong [PERIOD]
rude [AND] vivacious [AND] mean [IMPLY] light [PERIOD]
selfish [IMPLY] difficult [PERIOD]
tame [AND] famous [AND] precious [IMPLY] selfish [PERIOD]
light [AND] dull [AND] worried [IMPLY] helpless [PERIOD]
worried [AND] mean [IMPLY] vivacious [PERIOD]
light [IMPLY] mean [PERIOD]
rude [AND] rational [AND] difficult [IMPLY] famous [PERIOD]
worried [IMPLY] difficult [PERIOD]
impatient [AND] precious [AND] light [IMPLY] curious [PERIOD]
mean [AND] tame [AND] helpless [IMPLY] difficult [PERIOD]
loving [AND] worried [AND] mean [IMPLY] dull [PERIOD]
helpless [AND] impatient [AND] light [IMPLY] famous [PERIOD]
light [AND] helpless [AND] dull [IMPLY] mean [PERIOD]
dull [AND] mean [IMPLY] wrong [PERIOD]
curious [IMPLY] wrong [PERIOD]
tame [IMPLY] curious [PERIOD]
worried [AND] vivacious [AND] impatient [IMPLY] helpless [PERIOD]
wrong [AND] loving [IMPLY] dull [PERIOD]
famous [IMPLY] worried [PERIOD]
helpless [IMPLY] wrong [PERIOD]
worried [AND] difficult [AND] loving [IMPLY] tame [PERIOD]
rational [AND] famous [IMPLY] wrong [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
   curious ⇒ wrong
   famous ⇒ worried
   Cannot apply rule “wrong ∧ loving ∧ worried ⇒ rational” because missing: loving.
   famous ⇒ worried
   Cannot apply rule “difficult ∧ worried ∧ loving ⇒ rational” because missing: loving.
",0,5
"Facts:  Alice is outrageous [PERIOD] Alice is intellectual [PERIOD] Alice is hurt [PERIOD] Alice is bright [PERIOD] Alice is selfish [PERIOD]
Rules:
outrageous [AND] precious [AND] talkative [IMPLY] bright [PERIOD]
cute [IMPLY] selfish [PERIOD]
silly [IMPLY] wandering [PERIOD]
enchanting [AND] reserved [AND] amused [IMPLY] silly [PERIOD]
intellectual [AND] precious [AND] disobedient [IMPLY] wandering [PERIOD]
outrageous [AND] intellectual [IMPLY] modern [PERIOD]
wrong [IMPLY] wandering [PERIOD]
different [IMPLY] cute [PERIOD]
cute [IMPLY] wrong [PERIOD]
selfish [AND] cute [IMPLY] precious [PERIOD]
precious [AND] selfish [AND] enchanting [IMPLY] talkative [PERIOD]
talkative [IMPLY] outrageous [PERIOD]
ambitious [AND] precious [IMPLY] cute [PERIOD]
different [AND] outrageous [IMPLY] hurt [PERIOD]
gifted [IMPLY] wandering [PERIOD]
hurt [AND] enchanting [AND] bright [IMPLY] amused [PERIOD]
modern [AND] amused [AND] reserved [IMPLY] bright [PERIOD]
reserved [AND] bright [AND] silly [IMPLY] hurt [PERIOD]
bright [AND] reserved [AND] cute [IMPLY] silly [PERIOD]
silly [AND] bright [IMPLY] amused [PERIOD]
cute [AND] enchanting [IMPLY] hurt [PERIOD]
intellectual [AND] talkative [IMPLY] disobedient [PERIOD]
bright [AND] precious [IMPLY] intellectual [PERIOD]
gifted [AND] selfish [AND] different [IMPLY] wrong [PERIOD]
enchanting [IMPLY] silly [PERIOD]
amused [IMPLY] gifted [PERIOD]
ambitious [AND] outrageous [AND] hurt [IMPLY] wandering [PERIOD]
silly [AND] ambitious [IMPLY] gifted [PERIOD]
gifted [AND] modern [IMPLY] talkative [PERIOD]
cute [AND] reserved [AND] modern [IMPLY] wandering [PERIOD]
gifted [IMPLY] bright [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   Cannot apply rule “silly ⇒ wandering” because missing: silly.
   Cannot apply rule “intellectual ∧ precious ∧ disobedient ⇒ wandering” because missing: precious, disobedient.
   Cannot apply rule “wrong ⇒ wandering” because missing: wrong.
   Cannot apply rule “gifted ⇒ wandering” because missing: gifted.
   Cannot apply rule “ambitious ∧ outrageous ∧ hurt ⇒ wandering” because missing: ambitious.
   outrageous ∧ intellectual ⇒ modern
   Cannot apply rule “cute ∧ reserved ∧ modern ⇒ wandering” because missing: cute, reserved.
",0,7
"Facts: 
Rules:
average [AND] hypocritical [AND] versatile [IMPLY] mean [PERIOD]
worrisome [AND] impartial [IMPLY] versatile [PERIOD]
rude [AND] talented [IMPLY] polite [PERIOD]
thoughtless [IMPLY] hypocritical [PERIOD]
helpful [AND] ugly [IMPLY] worrisome [PERIOD]
helpful [AND] ugly [AND] helpless [IMPLY] hypocritical [PERIOD]
ugly [IMPLY] good [PERIOD]
average [AND] impartial [AND] ugly [IMPLY] versatile [PERIOD]
helpless [AND] good [AND] unpleasant [IMPLY] ugly [PERIOD]
polite [IMPLY] fancy [PERIOD]
fancy [AND] hypocritical [IMPLY] helpful [PERIOD]
talented [IMPLY] wandering [PERIOD]
popular [AND] impartial [IMPLY] rude [PERIOD]
fancy [AND] unpleasant [IMPLY] impartial [PERIOD]
thoughtless [IMPLY] fancy [PERIOD]
polite [AND] hypocritical [IMPLY] average [PERIOD]
versatile [AND] average [AND] helpless [IMPLY] rude [PERIOD]
versatile [AND] average [IMPLY] helpless [PERIOD]
hypocritical [AND] average [AND] polite [IMPLY] good [PERIOD]
thoughtless [AND] impartial [AND] good [IMPLY] versatile [PERIOD]
wandering [IMPLY] polite [PERIOD]
talented [AND] versatile [IMPLY] thoughtless [PERIOD]
impartial [AND] unpleasant [AND] rude [IMPLY] average [PERIOD]
average [AND] versatile [AND] popular [IMPLY] impartial [PERIOD]
ugly [AND] mean [IMPLY] thoughtless [PERIOD]
unpleasant [AND] helpful [IMPLY] versatile [PERIOD]
rude [AND] impartial [IMPLY] polite [PERIOD]
helpless [IMPLY] good [PERIOD]
thoughtless [AND] ugly [AND] wandering [IMPLY] helpless [PERIOD]
thoughtless [AND] fancy [AND] versatile [IMPLY] rude [PERIOD]
ugly [AND] average [AND] helpful [IMPLY] wandering [PERIOD]
worrisome [IMPLY] talented [PERIOD]
ugly [AND] thoughtless [AND] polite [IMPLY] helpless [PERIOD]
ugly [AND] unpleasant [AND] talented [IMPLY] popular [PERIOD]
thoughtless [AND] ugly [AND] average [IMPLY] versatile [PERIOD]
impartial [AND] good [IMPLY] popular [PERIOD]
polite [IMPLY] mean [PERIOD]
thoughtless [AND] impartial [IMPLY] helpful [PERIOD]
helpful [AND] wandering [IMPLY] impartial [PERIOD]
unpleasant [IMPLY] polite [PERIOD]
talented [AND] polite [IMPLY] mean [PERIOD]
wandering [IMPLY] hypocritical [PERIOD]
rude [IMPLY] helpless [PERIOD]
thoughtless [IMPLY] popular [PERIOD]
unpleasant [AND] worrisome [IMPLY] helpful [PERIOD]
versatile [AND] mean [IMPLY] good [PERIOD]
unpleasant [IMPLY] popular [PERIOD]
wandering [IMPLY] ugly [PERIOD]
ugly [AND] wandering [AND] thoughtless [IMPLY] impartial [PERIOD]
unpleasant [IMPLY] impartial [PERIOD]
ugly [AND] fancy [IMPLY] impartial [PERIOD]
polite [AND] helpless [AND] good [IMPLY] helpful [PERIOD]
rude [IMPLY] impartial [PERIOD]
rude [AND] ugly [IMPLY] wandering [PERIOD]
thoughtless [IMPLY] versatile [PERIOD]
good [AND] popular [IMPLY] fancy [PERIOD]
thoughtless [AND] talented [IMPLY] helpful [PERIOD]
unpleasant [AND] helpful [IMPLY] popular [PERIOD]
talented [AND] good [IMPLY] helpful [PERIOD]
ugly [IMPLY] polite [PERIOD]
ugly [AND] versatile [AND] impartial [IMPLY] mean [PERIOD]
ugly [AND] polite [AND] mean [IMPLY] average [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   Cannot apply rule “fancy ∧ unpleasant ⇒ impartial” because missing: fancy, unpleasant.
   Cannot apply rule “average ∧ versatile ∧ popular ⇒ impartial” because missing: average, versatile, popular.
   Cannot apply rule “helpful ∧ wandering ⇒ impartial” because missing: helpful, wandering.
   Cannot apply rule “ugly ∧ wandering ∧ thoughtless ⇒ impartial” because missing: ugly, wandering, thoughtless.
   Cannot apply rule “unpleasant ⇒ impartial” because missing: unpleasant.
   Cannot apply rule “ugly ∧ fancy ⇒ impartial” because missing: ugly, fancy.
   Cannot apply rule “rude ⇒ impartial” because missing: rude.
",0,7
"Facts:  Alice is unpleasant [PERIOD] Alice is modern [PERIOD] Alice is attentive [PERIOD] Alice is beautiful [PERIOD] Alice is gifted [PERIOD]
Rules:
clumsy [AND] jittery [AND] mysterious [IMPLY] disobedient [PERIOD]
mysterious [AND] smart [AND] pessimistic [IMPLY] anxious [PERIOD]
innocent [IMPLY] beautiful [PERIOD]
attentive [AND] disobedient [IMPLY] elegant [PERIOD]
disobedient [IMPLY] beautiful [PERIOD]
mysterious [AND] strange [AND] beautiful [IMPLY] uptight [PERIOD]
clumsy [AND] modern [AND] unpleasant [IMPLY] mysterious [PERIOD]
pessimistic [IMPLY] friendly [PERIOD]
pessimistic [AND] lucky [AND] beautiful [IMPLY] friendly [PERIOD]
uptight [IMPLY] friendly [PERIOD]
elegant [AND] gifted [AND] uptight [IMPLY] clumsy [PERIOD]
beautiful [AND] jittery [AND] smart [IMPLY] quaint [PERIOD]
quaint [AND] elegant [AND] serious [IMPLY] clumsy [PERIOD]
disobedient [AND] elegant [IMPLY] lucky [PERIOD]
uptight [IMPLY] smart [PERIOD]
jittery [AND] quaint [IMPLY] serious [PERIOD]
friendly [AND] pessimistic [IMPLY] smart [PERIOD]
strange [AND] gifted [IMPLY] pessimistic [PERIOD]
innocent [AND] jittery [AND] strange [IMPLY] anxious [PERIOD]
innocent [IMPLY] lucky [PERIOD]
quaint [AND] clumsy [AND] serious [IMPLY] attentive [PERIOD]
clumsy [AND] strange [IMPLY] anxious [PERIOD]
quaint [IMPLY] modern [PERIOD]
smart [IMPLY] tired [PERIOD]
smart [AND] mysterious [IMPLY] jittery [PERIOD]
modern [AND] elegant [AND] anxious [IMPLY] innocent [PERIOD]
mysterious [AND] jittery [IMPLY] disobedient [PERIOD]
uptight [AND] smart [AND] pessimistic [IMPLY] anxious [PERIOD]
elegant [AND] serious [IMPLY] pessimistic [PERIOD]
disobedient [IMPLY] gifted [PERIOD]
friendly [IMPLY] pessimistic [PERIOD]
smart [AND] uptight [AND] lucky [IMPLY] jittery [PERIOD]
quaint [AND] mysterious [IMPLY] clumsy [PERIOD]
modern [IMPLY] pessimistic [PERIOD]
pessimistic [AND] elegant [IMPLY] serious [PERIOD]
smart [AND] attentive [AND] friendly [IMPLY] innocent [PERIOD]
anxious [AND] unpleasant [AND] quaint [IMPLY] serious [PERIOD]
modern [AND] disobedient [AND] quaint [IMPLY] beautiful [PERIOD]
uptight [AND] beautiful [IMPLY] disobedient [PERIOD]
anxious [AND] friendly [AND] gifted [IMPLY] beautiful [PERIOD]
anxious [AND] uptight [IMPLY] unpleasant [PERIOD]
jittery [IMPLY] friendly [PERIOD]
jittery [IMPLY] disobedient [PERIOD]
gifted [IMPLY] quaint [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   Cannot apply rule “clumsy ∧ jittery ∧ mysterious ⇒ disobedient” because missing: clumsy, jittery, mysterious.
   Cannot apply rule “mysterious ∧ jittery ⇒ disobedient” because missing: mysterious, jittery.
   Cannot apply rule “uptight ∧ beautiful ⇒ disobedient” because missing: uptight.
   Cannot apply rule “jittery ⇒ disobedient” because missing: jittery.
",0,4
"Facts:  Alice is lucky [PERIOD]
Rules:
courageous [AND] lucky [AND] shiny [IMPLY] beautiful [PERIOD]
courageous [IMPLY] beautiful [PERIOD]
courageous [AND] beautiful [AND] lucky [IMPLY] plain [PERIOD]
lucky [AND] beautiful [AND] shiny [IMPLY] plain [PERIOD]
plain [AND] lucky [AND] courageous [IMPLY] beautiful [PERIOD]
shiny [AND] plain [AND] courageous [IMPLY] lucky [PERIOD]
lucky [AND] plain [AND] courageous [IMPLY] shiny [PERIOD]
courageous [AND] lucky [IMPLY] beautiful [PERIOD]
plain [AND] lucky [AND] beautiful [IMPLY] courageous [PERIOD]
plain [AND] shiny [IMPLY] beautiful [PERIOD]
shiny [AND] lucky [IMPLY] courageous [PERIOD]
plain [AND] lucky [AND] shiny [IMPLY] courageous [PERIOD]
shiny [AND] lucky [IMPLY] beautiful [PERIOD]
plain [AND] shiny [IMPLY] courageous [PERIOD]
beautiful [AND] courageous [AND] shiny [IMPLY] plain [PERIOD]
beautiful [IMPLY] lucky [PERIOD]
beautiful [AND] plain [AND] courageous [IMPLY] lucky [PERIOD]
plain [IMPLY] beautiful [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   Cannot apply rule “courageous ∧ beautiful ∧ lucky ⇒ plain” because missing: courageous, beautiful.
   Cannot apply rule “lucky ∧ beautiful ∧ shiny ⇒ plain” because missing: beautiful, shiny.
   Cannot apply rule “beautiful ∧ courageous ∧ shiny ⇒ plain” because missing: beautiful, courageous, shiny.
",0,3
"Facts:  Alice is shy [PERIOD] Alice is ugly [PERIOD] Alice is homely [PERIOD] Alice is ugliest [PERIOD] Alice is horrible [PERIOD] Alice is glamorous [PERIOD] Alice is frail [PERIOD] Alice is foolish [PERIOD] Alice is thoughtful [PERIOD]
Rules:
cruel [AND] muddy [IMPLY] outrageous [PERIOD]
hurt [AND] homely [IMPLY] frail [PERIOD]
agreeable [AND] shy [AND] outrageous [IMPLY] wandering [PERIOD]
shy [IMPLY] anxious [PERIOD]
horrible [AND] attentive [AND] frail [IMPLY] quaint [PERIOD]
cruel [AND] foolish [IMPLY] glamorous [PERIOD]
muddy [IMPLY] foolish [PERIOD]
anxious [IMPLY] thoughtless [PERIOD]
thoughtless [AND] shy [AND] foolish [IMPLY] agreeable [PERIOD]
weary [AND] outrageous [IMPLY] cruel [PERIOD]
outrageous [IMPLY] shy [PERIOD]
ugliest [AND] foolish [AND] outrageous [IMPLY] dishonest [PERIOD]
anxious [AND] glamorous [IMPLY] supportive [PERIOD]
thoughtless [AND] horrible [AND] muddy [IMPLY] wandering [PERIOD]
cruel [IMPLY] thoughtful [PERIOD]
quaint [AND] wandering [AND] hurt [IMPLY] thoughtful [PERIOD]
weary [AND] supportive [IMPLY] ugly [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   shy ⇒ anxious
   anxious ⇒ thoughtless
   thoughtless ∧ shy ∧ foolish ⇒ agreeable
   Cannot apply rule “agreeable ∧ shy ∧ outrageous ⇒ wandering” because missing: outrageous.
   shy ⇒ anxious
   anxious ⇒ thoughtless
   Cannot apply rule “thoughtless ∧ horrible ∧ muddy ⇒ wandering” because missing: muddy.
",0,7
"Facts:  Alice is dishonest [PERIOD] Alice is talkative [PERIOD] Alice is old-fashioned [PERIOD] Alice is witty [PERIOD] Alice is fragile [PERIOD] Alice is clumsy [PERIOD] Alice is anxious [PERIOD] Alice is reserved [PERIOD] Alice is hurt [PERIOD] Alice is crowded [PERIOD] Alice is bossy [PERIOD] Alice is curious [PERIOD]
Rules:
anxious [AND] witty [IMPLY] bossy [PERIOD]
old-fashioned [IMPLY] clumsy [PERIOD]
curious [IMPLY] bossy [PERIOD]
hurt [AND] thoughtless [IMPLY] dishonest [PERIOD]
curious [IMPLY] clumsy [PERIOD]
fragile [IMPLY] reserved [PERIOD]
clumsy [AND] fragile [AND] bossy [IMPLY] talkative [PERIOD]
reserved [AND] witty [AND] anxious [IMPLY] thoughtless [PERIOD]
fragile [IMPLY] old-fashioned [PERIOD]
thoughtless [IMPLY] fearless [PERIOD]
dishonest [IMPLY] fragile [PERIOD]
bossy [AND] anxious [IMPLY] dishonest [PERIOD]
fearless [IMPLY] anxious [PERIOD]
bossy [AND] crowded [AND] talkative [IMPLY] clumsy [PERIOD]
witty [AND] fearless [AND] bossy [IMPLY] fragile [PERIOD]
old-fashioned [IMPLY] reserved [PERIOD]
talkative [IMPLY] hurt [PERIOD]
dishonest [IMPLY] clumsy [PERIOD]
reserved [IMPLY] bossy [PERIOD]
hurt [AND] talkative [IMPLY] witty [PERIOD]
hurt [AND] curious [AND] crowded [IMPLY] bossy [PERIOD]
crowded [AND] talkative [IMPLY] dishonest [PERIOD]
dishonest [AND] bossy [IMPLY] fragile [PERIOD]
hurt [AND] clumsy [AND] dishonest [IMPLY] thoughtless [PERIOD]
fragile [AND] witty [AND] fearless [IMPLY] old-fashioned [PERIOD]
witty [IMPLY] crowded [PERIOD]
crowded [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] fragile [IMPLY] clumsy [PERIOD]
thoughtless [AND] reserved [AND] talkative [IMPLY] dishonest [PERIOD]
crowded [IMPLY] curious [PERIOD]
bossy [AND] fragile [AND] thoughtless [IMPLY] hurt [PERIOD]
clumsy [AND] thoughtless [IMPLY] curious [PERIOD]
hurt [AND] fragile [AND] curious [IMPLY] crowded [PERIOD]
crowded [IMPLY] talkative [PERIOD]
bossy [AND] clumsy [IMPLY] thoughtless [PERIOD]
thoughtless [AND] anxious [IMPLY] fearless [PERIOD]
fearless [AND] fragile [AND] thoughtless [IMPLY] crowded [PERIOD]
fearless [AND] hurt [IMPLY] clumsy [PERIOD]
old-fashioned [IMPLY] curious [PERIOD]
hurt [IMPLY] anxious [PERIOD]
dishonest [AND] witty [AND] hurt [IMPLY] old-fashioned [PERIOD]
talkative [AND] anxious [IMPLY] fearless [PERIOD]
bossy [IMPLY] crowded [PERIOD]
crowded [IMPLY] reserved [PERIOD]
crowded [IMPLY] dishonest [PERIOD]
anxious [IMPLY] reserved [PERIOD]
talkative [IMPLY] dishonest [PERIOD]
fearless [AND] thoughtless [AND] bossy [IMPLY] dishonest [PERIOD]
reserved [AND] bossy [IMPLY] curious [PERIOD]
reserved [AND] fragile [IMPLY] anxious [PERIOD]
fearless [AND] dishonest [IMPLY] talkative [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   bossy ∧ clumsy ⇒ thoughtless
",1,1
"Facts:  Alice is worried [PERIOD] Alice is disgusted [PERIOD] Alice is attentive [PERIOD]
Rules:
attentive [AND] modern [AND] worried [IMPLY] jittery [PERIOD]
disgusted [AND] stubborn [IMPLY] glamorous [PERIOD]
cooperative [IMPLY] disgusted [PERIOD]
elegant [AND] cooperative [AND] stubborn [IMPLY] disgusted [PERIOD]
cooperative [AND] attentive [IMPLY] glamorous [PERIOD]
rational [IMPLY] worried [PERIOD]
rational [AND] charming [IMPLY] elegant [PERIOD]
stubborn [IMPLY] worried [PERIOD]
elegant [AND] glamorous [IMPLY] worried [PERIOD]
cooperative [AND] disgusted [IMPLY] elegant [PERIOD]
attentive [AND] straightforward [IMPLY] worried [PERIOD]
pleasant [IMPLY] attentive [PERIOD]
straightforward [AND] cooperative [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] attentive [PERIOD]
glamorous [AND] frantic [IMPLY] stubborn [PERIOD]
glamorous [AND] rational [AND] disgusted [IMPLY] dishonest [PERIOD]
pleasant [AND] dishonest [AND] embarrassed [IMPLY] glamorous [PERIOD]
fine [IMPLY] dishonest [PERIOD]
disgusted [IMPLY] embarrassed [PERIOD]
charming [IMPLY] rational [PERIOD]
disgusted [AND] modern [AND] pleasant [IMPLY] jittery [PERIOD]
fine [AND] worried [IMPLY] stubborn [PERIOD]
jittery [IMPLY] cooperative [PERIOD]
glamorous [AND] straightforward [AND] worried [IMPLY] disgusted [PERIOD]
glamorous [IMPLY] charming [PERIOD]
pleasant [IMPLY] fine [PERIOD]
rational [AND] pleasant [IMPLY] worried [PERIOD]
disgusted [AND] cooperative [IMPLY] rational [PERIOD]
glamorous [IMPLY] frantic [PERIOD]
fine [AND] cooperative [AND] disgusted [IMPLY] rational [PERIOD]
embarrassed [AND] stubborn [IMPLY] glamorous [PERIOD]
cooperative [IMPLY] elegant [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   Cannot apply rule “glamorous ∧ frantic ⇒ stubborn” because missing: glamorous, frantic.
   Cannot apply rule “fine ∧ worried ⇒ stubborn” because missing: fine.
",0,2
"Facts:  Alice is comfortable [PERIOD] Alice is ugly [PERIOD]
Rules:
ugly [AND] bored [IMPLY] shiny [PERIOD]
dull [AND] ugly [IMPLY] shiny [PERIOD]
bored [AND] ugly [IMPLY] jittery [PERIOD]
bossy [IMPLY] shiny [PERIOD]
bossy [AND] comfortable [IMPLY] bored [PERIOD]
ugly [AND] disobedient [IMPLY] shiny [PERIOD]
shiny [AND] comfortable [AND] bored [IMPLY] bossy [PERIOD]
shiny [IMPLY] bossy [PERIOD]
disobedient [AND] bossy [AND] ugly [IMPLY] ambitious [PERIOD]
ugly [AND] disobedient [IMPLY] jittery [PERIOD]
jittery [AND] ugly [IMPLY] bored [PERIOD]
jittery [AND] comfortable [AND] bossy [IMPLY] ugly [PERIOD]
comfortable [IMPLY] disobedient [PERIOD]
comfortable [IMPLY] shiny [PERIOD]
bossy [IMPLY] ambitious [PERIOD]
comfortable [IMPLY] dull [PERIOD]
ambitious [AND] jittery [IMPLY] bossy [PERIOD]
shiny [AND] jittery [AND] bored [IMPLY] ugly [PERIOD]
shiny [AND] bossy [IMPLY] bored [PERIOD]
bored [AND] ugly [AND] bossy [IMPLY] shiny [PERIOD]
shiny [AND] disobedient [AND] comfortable [IMPLY] dull [PERIOD]
disobedient [AND] jittery [AND] shiny [IMPLY] dull [PERIOD]
disobedient [IMPLY] bossy [PERIOD]
bored [AND] bossy [IMPLY] comfortable [PERIOD]
jittery [AND] dull [IMPLY] bossy [PERIOD]
jittery [AND] ambitious [AND] comfortable [IMPLY] ugly [PERIOD]
disobedient [IMPLY] jittery [PERIOD]
bored [AND] disobedient [AND] dull [IMPLY] comfortable [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   comfortable ⇒ disobedient
   comfortable ⇒ disobedient
   disobedient ⇒ bossy
   disobedient ∧ bossy ∧ ugly ⇒ ambitious
",1,4
"Facts:  Alice is old-fashioned [PERIOD]
Rules:
helpless [IMPLY] combative [PERIOD]
rude [AND] hilarious [IMPLY] combative [PERIOD]
comfortable [AND] intellectual [IMPLY] old-fashioned [PERIOD]
combative [AND] helpless [AND] hurt [IMPLY] hilarious [PERIOD]
crowded [IMPLY] rude [PERIOD]
powerful [IMPLY] old-fashioned [PERIOD]
silly [IMPLY] combative [PERIOD]
intellectual [AND] silly [IMPLY] powerful [PERIOD]
crowded [AND] helpless [IMPLY] powerful [PERIOD]
silly [IMPLY] comfortable [PERIOD]
hilarious [IMPLY] fearless [PERIOD]
hilarious [IMPLY] helpless [PERIOD]
rude [AND] comfortable [AND] helpless [IMPLY] intellectual [PERIOD]
silly [AND] helpless [IMPLY] intellectual [PERIOD]
rude [AND] intellectual [IMPLY] old-fashioned [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   Cannot apply rule “rude ∧ comfortable ∧ helpless ⇒ intellectual” because missing: rude, comfortable, helpless.
   Cannot apply rule “silly ∧ helpless ⇒ intellectual” because missing: silly, helpless.
",0,2
"Facts:  Alice is gorgeous [PERIOD] Alice is joyous [PERIOD] Alice is shy [PERIOD] Alice is enchanting [PERIOD] Alice is embarrassed [PERIOD]
Rules:
cooperative [AND] joyous [AND] enchanting [IMPLY] gifted [PERIOD]
joyous [AND] vivacious [AND] enchanting [IMPLY] quaint [PERIOD]
joyous [AND] embarrassed [IMPLY] pessimistic [PERIOD]
cooperative [AND] pessimistic [IMPLY] vivacious [PERIOD]
powerful [AND] enchanting [AND] gifted [IMPLY] joyous [PERIOD]
joyous [AND] cooperative [IMPLY] vivacious [PERIOD]
pessimistic [IMPLY] cooperative [PERIOD]
vivacious [AND] quaint [IMPLY] embarrassed [PERIOD]
enchanting [IMPLY] gorgeous [PERIOD]
gorgeous [AND] shy [IMPLY] joyous [PERIOD]
gifted [AND] joyous [AND] quaint [IMPLY] cooperative [PERIOD]
enchanting [AND] vivacious [AND] shy [IMPLY] gifted [PERIOD]
quaint [IMPLY] vivacious [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   joyous ∧ embarrassed ⇒ pessimistic
   pessimistic ⇒ cooperative
",1,2
"Facts:  Alice is frightened [PERIOD] Alice is perfect [PERIOD] Alice is witty [PERIOD] Alice is hurt [PERIOD] Alice is sleepy [PERIOD]
Rules:
hurt [AND] sleepy [AND] frightened [IMPLY] bossy [PERIOD]
bossy [AND] joyous [IMPLY] worried [PERIOD]
joyous [IMPLY] loving [PERIOD]
joyous [AND] frightened [AND] calm [IMPLY] perfect [PERIOD]
joyous [AND] worried [AND] perfect [IMPLY] bossy [PERIOD]
difficult [AND] sleepy [IMPLY] hurt [PERIOD]
loving [IMPLY] courageous [PERIOD]
bossy [AND] perfect [IMPLY] calm [PERIOD]
loving [AND] frail [IMPLY] worried [PERIOD]
bossy [IMPLY] worried [PERIOD]
frail [IMPLY] hurt [PERIOD]
courageous [IMPLY] frail [PERIOD]
bossy [AND] joyous [AND] difficult [IMPLY] frail [PERIOD]
sleepy [AND] frightened [IMPLY] difficult [PERIOD]
difficult [AND] witty [AND] bossy [IMPLY] messy [PERIOD]
hurt [AND] sleepy [IMPLY] perfect [PERIOD]
calm [AND] witty [AND] difficult [IMPLY] frail [PERIOD]
frightened [AND] calm [IMPLY] hurt [PERIOD]
worried [IMPLY] frightened [PERIOD]
witty [AND] bossy [AND] sleepy [IMPLY] frail [PERIOD]
frail [AND] bossy [AND] perfect [IMPLY] joyous [PERIOD]
calm [AND] bossy [AND] sleepy [IMPLY] perfect [PERIOD]
perfect [IMPLY] frail [PERIOD]
hurt [AND] witty [AND] worried [IMPLY] loving [PERIOD]
courageous [AND] frail [AND] hurt [IMPLY] sleepy [PERIOD]
worried [AND] joyous [IMPLY] loving [PERIOD]
frightened [IMPLY] perfect [PERIOD]
courageous [IMPLY] joyous [PERIOD]
frightened [AND] hurt [AND] sleepy [IMPLY] frail [PERIOD]
frightened [IMPLY] bossy [PERIOD]
witty [AND] worried [AND] sleepy [IMPLY] messy [PERIOD]
perfect [AND] bossy [IMPLY] frail [PERIOD]
witty [AND] sleepy [IMPLY] messy [PERIOD]
bossy [IMPLY] joyous [PERIOD]
hurt [AND] difficult [AND] calm [IMPLY] frail [PERIOD]
calm [AND] witty [AND] messy [IMPLY] worried [PERIOD]
frail [IMPLY] sleepy [PERIOD]
frightened [AND] perfect [AND] joyous [IMPLY] calm [PERIOD]
hurt [AND] frightened [IMPLY] witty [PERIOD]
frightened [IMPLY] calm [PERIOD]
difficult [IMPLY] sleepy [PERIOD]
calm [AND] courageous [IMPLY] frightened [PERIOD]
courageous [IMPLY] hurt [PERIOD]
loving [AND] calm [AND] bossy [IMPLY] difficult [PERIOD]
worried [AND] calm [AND] courageous [IMPLY] witty [PERIOD]
frail [AND] calm [AND] joyous [IMPLY] sleepy [PERIOD]
perfect [AND] loving [IMPLY] worried [PERIOD]
loving [AND] difficult [IMPLY] messy [PERIOD]
courageous [AND] worried [AND] witty [IMPLY] difficult [PERIOD]
messy [AND] witty [IMPLY] loving [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   witty ∧ sleepy ⇒ messy
   messy ∧ witty ⇒ loving
   loving ⇒ courageous
",1,3
"Facts:  Alice is disgusted [PERIOD] Alice is bright [PERIOD] Alice is aggressive [PERIOD] Alice is wandering [PERIOD] Alice is agreeable [PERIOD]
Rules:
agreeable [AND] reserved [IMPLY] busy [PERIOD]
bored [IMPLY] wandering [PERIOD]
busy [IMPLY] disgusted [PERIOD]
rational [AND] rude [AND] stupid [IMPLY] fragile [PERIOD]
disgusted [IMPLY] crowded [PERIOD]
stupid [IMPLY] reserved [PERIOD]
rational [AND] crowded [AND] inexpensive [IMPLY] charming [PERIOD]
wandering [IMPLY] muddy [PERIOD]
bright [AND] rational [IMPLY] charming [PERIOD]
bored [AND] crowded [IMPLY] bright [PERIOD]
inexpensive [IMPLY] bright [PERIOD]
agreeable [IMPLY] bored [PERIOD]
crowded [IMPLY] wandering [PERIOD]
bright [AND] cruel [AND] muddy [IMPLY] reserved [PERIOD]
muddy [IMPLY] disgusted [PERIOD]
fragile [AND] rational [AND] disgusted [IMPLY] bored [PERIOD]
dull [AND] agreeable [AND] bored [IMPLY] bright [PERIOD]
bright [AND] wandering [IMPLY] bored [PERIOD]
inexpensive [AND] bright [IMPLY] aggressive [PERIOD]
stupid [AND] wandering [IMPLY] inexpensive [PERIOD]
rude [AND] stupid [AND] fragile [IMPLY] busy [PERIOD]
rude [IMPLY] bright [PERIOD]
reserved [AND] charming [AND] aggressive [IMPLY] muddy [PERIOD]
crowded [IMPLY] disgusted [PERIOD]
bored [IMPLY] inexpensive [PERIOD]
fragile [AND] bored [IMPLY] dull [PERIOD]
reserved [AND] muddy [AND] inexpensive [IMPLY] rational [PERIOD]
rude [IMPLY] disgusted [PERIOD]
aggressive [AND] bright [AND] careless [IMPLY] inexpensive [PERIOD]
inexpensive [IMPLY] muddy [PERIOD]
stupid [IMPLY] dull [PERIOD]
rude [AND] muddy [AND] bright [IMPLY] inexpensive [PERIOD]
inexpensive [IMPLY] stupid [PERIOD]
rational [AND] rude [AND] bored [IMPLY] dull [PERIOD]
wandering [IMPLY] careless [PERIOD]
stupid [AND] careless [IMPLY] muddy [PERIOD]
aggressive [IMPLY] bored [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   wandering ⇒ muddy
",1,1
"Facts:  Alice is sensible [PERIOD] Alice is fancy [PERIOD] Alice is old-fashioned [PERIOD] Alice is weary [PERIOD] Alice is hypocritical [PERIOD] Alice is perfect [PERIOD] Alice is gorgeous [PERIOD] Alice is talented [PERIOD] Alice is precious [PERIOD] Alice is nervous [PERIOD] Alice is spotless [PERIOD] Alice is good [PERIOD]
Rules:
fancy [AND] hypocritical [IMPLY] long [PERIOD]
hypocritical [AND] perfect [AND] nervous [IMPLY] victorious [PERIOD]
versatile [AND] perfect [IMPLY] long [PERIOD]
hypocritical [AND] precious [IMPLY] fancy [PERIOD]
sensible [AND] weary [IMPLY] spotless [PERIOD]
gorgeous [IMPLY] disobedient [PERIOD]
gorgeous [AND] spotless [IMPLY] sensible [PERIOD]
nervous [AND] selfish [AND] spotless [IMPLY] precious [PERIOD]
spotless [AND] hypocritical [AND] perfect [IMPLY] nervous [PERIOD]
spotless [AND] fancy [IMPLY] old-fashioned [PERIOD]
disobedient [AND] nervous [AND] gorgeous [IMPLY] weary [PERIOD]
versatile [IMPLY] good [PERIOD]
spotless [AND] weary [AND] gorgeous [IMPLY] selfish [PERIOD]
spotless [AND] diplomatic [IMPLY] fancy [PERIOD]
precious [AND] diplomatic [AND] disobedient [IMPLY] selfish [PERIOD]
weary [IMPLY] talented [PERIOD]
talented [AND] fancy [IMPLY] hypocritical [PERIOD]
spotless [AND] long [AND] disobedient [IMPLY] precious [PERIOD]
busy [AND] weary [IMPLY] hypocritical [PERIOD]
long [AND] hypocritical [IMPLY] diplomatic [PERIOD]
gorgeous [IMPLY] versatile [PERIOD]
good [AND] hypocritical [AND] old-fashioned [IMPLY] busy [PERIOD]
selfish [AND] diplomatic [AND] perfect [IMPLY] victorious [PERIOD]
spotless [AND] busy [IMPLY] talented [PERIOD]
busy [AND] precious [IMPLY] sensible [PERIOD]
old-fashioned [AND] fancy [IMPLY] perfect [PERIOD]
old-fashioned [IMPLY] talented [PERIOD]
disobedient [AND] spotless [AND] hypocritical [IMPLY] fancy [PERIOD]
talented [AND] fancy [IMPLY] disobedient [PERIOD]
precious [IMPLY] versatile [PERIOD]
precious [IMPLY] long [PERIOD]
talented [AND] disobedient [AND] victorious [IMPLY] gorgeous [PERIOD]
spotless [IMPLY] disobedient [PERIOD]
spotless [IMPLY] victorious [PERIOD]
hypocritical [IMPLY] old-fashioned [PERIOD]
precious [AND] gorgeous [AND] selfish [IMPLY] long [PERIOD]
fancy [AND] hypocritical [AND] selfish [IMPLY] long [PERIOD]
weary [AND] good [IMPLY] gorgeous [PERIOD]
versatile [AND] diplomatic [IMPLY] hypocritical [PERIOD]
nervous [AND] spotless [AND] hypocritical [IMPLY] gorgeous [PERIOD]
precious [AND] victorious [IMPLY] perfect [PERIOD]
talented [AND] weary [IMPLY] busy [PERIOD]
perfect [AND] weary [IMPLY] spotless [PERIOD]
hypocritical [AND] versatile [IMPLY] good [PERIOD]
disobedient [AND] versatile [IMPLY] hypocritical [PERIOD]
precious [IMPLY] disobedient [PERIOD]
fancy [IMPLY] long [PERIOD]
sensible [IMPLY] perfect [PERIOD]
busy [IMPLY] talented [PERIOD]
selfish [IMPLY] perfect [PERIOD]
diplomatic [AND] gorgeous [AND] fancy [IMPLY] selfish [PERIOD]
spotless [IMPLY] weary [PERIOD]
talented [AND] good [IMPLY] spotless [PERIOD]
disobedient [AND] weary [IMPLY] sensible [PERIOD]
gorgeous [IMPLY] victorious [PERIOD]
long [AND] weary [AND] diplomatic [IMPLY] spotless [PERIOD]
selfish [AND] diplomatic [AND] disobedient [IMPLY] gorgeous [PERIOD]
gorgeous [AND] old-fashioned [IMPLY] selfish [PERIOD]
old-fashioned [AND] fancy [IMPLY] talented [PERIOD]
long [IMPLY] old-fashioned [PERIOD]
victorious [IMPLY] old-fashioned [PERIOD]
perfect [AND] good [AND] diplomatic [IMPLY] sensible [PERIOD]
busy [AND] disobedient [IMPLY] victorious [PERIOD]
selfish [AND] perfect [AND] gorgeous [IMPLY] fancy [PERIOD]
hypocritical [AND] good [IMPLY] busy [PERIOD]
nervous [IMPLY] busy [PERIOD]
sensible [AND] good [AND] versatile [IMPLY] spotless [PERIOD]
hypocritical [AND] precious [AND] busy [IMPLY] long [PERIOD]
long [AND] gorgeous [IMPLY] busy [PERIOD]
old-fashioned [IMPLY] diplomatic [PERIOD]
disobedient [AND] victorious [IMPLY] fancy [PERIOD]
weary [AND] old-fashioned [IMPLY] nervous [PERIOD]
old-fashioned [AND] versatile [AND] disobedient [IMPLY] sensible [PERIOD]
busy [AND] spotless [AND] versatile [IMPLY] fancy [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is busy [PERIOD] Alice is perfect [PERIOD] Alice is lucky [PERIOD]
Rules:
perfect [AND] bright [IMPLY] frail [PERIOD]
perfect [IMPLY] busy [PERIOD]
busy [AND] perfect [IMPLY] bright [PERIOD]
perfect [AND] frail [AND] bright [IMPLY] busy [PERIOD]
busy [AND] perfect [IMPLY] frail [PERIOD]
bright [IMPLY] perfect [PERIOD]
lucky [AND] bright [IMPLY] busy [PERIOD]
perfect [AND] lucky [IMPLY] busy [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   busy ∧ perfect ⇒ frail
",1,1
"Facts:  Alice is busy [PERIOD] Alice is distinct [PERIOD]
Rules:
talkative [IMPLY] fragile [PERIOD]
perfect [AND] aggressive [IMPLY] intellectual [PERIOD]
perfect [AND] agreeable [AND] embarrassed [IMPLY] fragile [PERIOD]
agreeable [IMPLY] talkative [PERIOD]
embarrassed [IMPLY] fragile [PERIOD]
different [AND] disgusted [AND] selfish [IMPLY] zealous [PERIOD]
different [IMPLY] alert [PERIOD]
intellectual [AND] distinct [IMPLY] embarrassed [PERIOD]
aggressive [AND] talkative [IMPLY] crowded [PERIOD]
disgusted [AND] straightforward [IMPLY] embarrassed [PERIOD]
zealous [AND] talkative [IMPLY] intellectual [PERIOD]
zealous [AND] alert [AND] charming [IMPLY] agreeable [PERIOD]
talkative [AND] frail [AND] busy [IMPLY] aggressive [PERIOD]
agreeable [IMPLY] charming [PERIOD]
frail [IMPLY] busy [PERIOD]
intellectual [IMPLY] zealous [PERIOD]
aggressive [AND] talkative [AND] agreeable [IMPLY] intellectual [PERIOD]
selfish [IMPLY] zealous [PERIOD]
busy [IMPLY] aggressive [PERIOD]
embarrassed [IMPLY] frail [PERIOD]
intellectual [AND] agreeable [AND] crowded [IMPLY] fragile [PERIOD]
distinct [AND] busy [AND] frail [IMPLY] disgusted [PERIOD]
charming [AND] straightforward [IMPLY] alert [PERIOD]
selfish [AND] crowded [IMPLY] inexpensive [PERIOD]
selfish [IMPLY] fragile [PERIOD]
charming [AND] alert [IMPLY] busy [PERIOD]
selfish [IMPLY] straightforward [PERIOD]
agreeable [IMPLY] light [PERIOD]
fragile [AND] talkative [IMPLY] charming [PERIOD]
stormy [IMPLY] different [PERIOD]
stormy [AND] zealous [IMPLY] aggressive [PERIOD]
zealous [AND] charming [AND] inexpensive [IMPLY] aggressive [PERIOD]
charming [AND] disgusted [IMPLY] alert [PERIOD]
busy [AND] frail [IMPLY] disgusted [PERIOD]
distinct [AND] perfect [IMPLY] stormy [PERIOD]
zealous [AND] alert [AND] talkative [IMPLY] intellectual [PERIOD]
distinct [AND] disgusted [IMPLY] embarrassed [PERIOD]
zealous [IMPLY] talkative [PERIOD]
distinct [AND] different [AND] disgusted [IMPLY] light [PERIOD]
stormy [IMPLY] intellectual [PERIOD]
selfish [IMPLY] busy [PERIOD]
perfect [IMPLY] aggressive [PERIOD]
disgusted [IMPLY] alert [PERIOD]
perfect [AND] charming [AND] alert [IMPLY] embarrassed [PERIOD]
charming [AND] straightforward [IMPLY] inexpensive [PERIOD]
alert [IMPLY] disgusted [PERIOD]
perfect [AND] charming [IMPLY] zealous [PERIOD]
stormy [AND] aggressive [IMPLY] talkative [PERIOD]
aggressive [AND] disgusted [IMPLY] stormy [PERIOD]
crowded [AND] charming [IMPLY] intellectual [PERIOD]
light [AND] disgusted [IMPLY] charming [PERIOD]
stormy [AND] inexpensive [AND] crowded [IMPLY] zealous [PERIOD]
different [AND] light [IMPLY] zealous [PERIOD]
disgusted [AND] selfish [AND] perfect [IMPLY] zealous [PERIOD]
different [AND] intellectual [AND] selfish [IMPLY] talkative [PERIOD]
perfect [IMPLY] frail [PERIOD]
talkative [AND] busy [AND] crowded [IMPLY] intellectual [PERIOD]
inexpensive [AND] fragile [IMPLY] disgusted [PERIOD]
distinct [AND] frail [IMPLY] charming [PERIOD]
zealous [IMPLY] agreeable [PERIOD]
frail [IMPLY] perfect [PERIOD]
fragile [AND] light [AND] perfect [IMPLY] disgusted [PERIOD]
different [IMPLY] frail [PERIOD]
aggressive [IMPLY] inexpensive [PERIOD]
zealous [IMPLY] crowded [PERIOD]
zealous [IMPLY] embarrassed [PERIOD]
perfect [AND] crowded [AND] charming [IMPLY] inexpensive [PERIOD]
talkative [IMPLY] charming [PERIOD]
Query: Alice is alert [PERIOD]","Proof chain:
   Cannot apply rule “different ⇒ alert” because missing: different.
   Cannot apply rule “charming ∧ straightforward ⇒ alert” because missing: charming, straightforward.
   Cannot apply rule “charming ∧ disgusted ⇒ alert” because missing: charming, disgusted.
   Cannot apply rule “disgusted ⇒ alert” because missing: disgusted.
",0,4
"Facts:  Alice is impatient [PERIOD] Alice is popular [PERIOD] Alice is busy [PERIOD] Alice is plain [PERIOD] Alice is helpful [PERIOD]
Rules:
clean [AND] helpful [IMPLY] busy [PERIOD]
hilarious [AND] clean [IMPLY] joyous [PERIOD]
popular [AND] busy [AND] comfortable [IMPLY] helpful [PERIOD]
busy [AND] frantic [AND] impatient [IMPLY] plain [PERIOD]
plain [AND] frantic [AND] comfortable [IMPLY] helpful [PERIOD]
joyous [AND] busy [AND] frantic [IMPLY] clean [PERIOD]
hilarious [AND] busy [AND] helpful [IMPLY] comfortable [PERIOD]
frantic [AND] comfortable [IMPLY] joyous [PERIOD]
helpful [IMPLY] busy [PERIOD]
popular [AND] impatient [IMPLY] busy [PERIOD]
joyous [IMPLY] clean [PERIOD]
hilarious [IMPLY] helpful [PERIOD]
helpful [AND] popular [IMPLY] busy [PERIOD]
busy [AND] comfortable [IMPLY] joyous [PERIOD]
impatient [AND] hilarious [AND] plain [IMPLY] helpful [PERIOD]
plain [AND] comfortable [AND] joyous [IMPLY] hilarious [PERIOD]
clean [AND] plain [AND] busy [IMPLY] comfortable [PERIOD]
helpful [AND] clean [IMPLY] frantic [PERIOD]
impatient [AND] popular [IMPLY] clean [PERIOD]
plain [AND] popular [AND] hilarious [IMPLY] frantic [PERIOD]
joyous [IMPLY] comfortable [PERIOD]
popular [AND] comfortable [IMPLY] hilarious [PERIOD]
frantic [AND] popular [IMPLY] helpful [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   impatient ∧ popular ⇒ clean
   clean ∧ plain ∧ busy ⇒ comfortable
",1,2
"Facts: 
Rules:
impartial [IMPLY] adorable [PERIOD]
adorable [IMPLY] sleepy [PERIOD]
curious [AND] sleepy [AND] crowded [IMPLY] lonely [PERIOD]
exuberant [IMPLY] curious [PERIOD]
sleepy [AND] curious [AND] adorable [IMPLY] lonely [PERIOD]
crowded [AND] curious [AND] enchanting [IMPLY] sleepy [PERIOD]
enchanting [IMPLY] adorable [PERIOD]
enchanting [IMPLY] crowded [PERIOD]
enchanting [AND] curious [IMPLY] impartial [PERIOD]
exuberant [IMPLY] enchanting [PERIOD]
enchanting [AND] exuberant [AND] adorable [IMPLY] crowded [PERIOD]
curious [AND] adorable [AND] sleepy [IMPLY] enchanting [PERIOD]
mean [AND] adorable [IMPLY] enchanting [PERIOD]
impartial [IMPLY] mean [PERIOD]
crowded [AND] sleepy [IMPLY] mean [PERIOD]
impartial [AND] exuberant [AND] crowded [IMPLY] adorable [PERIOD]
impartial [IMPLY] enchanting [PERIOD]
sleepy [IMPLY] impartial [PERIOD]
adorable [IMPLY] curious [PERIOD]
curious [AND] lonely [AND] enchanting [IMPLY] sleepy [PERIOD]
mean [AND] enchanting [IMPLY] crowded [PERIOD]
mean [IMPLY] impartial [PERIOD]
curious [AND] adorable [IMPLY] impartial [PERIOD]
enchanting [IMPLY] impartial [PERIOD]
curious [AND] crowded [AND] sleepy [IMPLY] exuberant [PERIOD]
crowded [IMPLY] mean [PERIOD]
mean [IMPLY] curious [PERIOD]
crowded [IMPLY] exuberant [PERIOD]
lonely [IMPLY] impartial [PERIOD]
Query: Alice is impartial [PERIOD]","Proof chain:
   Cannot apply rule “enchanting ∧ curious ⇒ impartial” because missing: enchanting, curious.
   Cannot apply rule “sleepy ⇒ impartial” because missing: sleepy.
   Cannot apply rule “mean ⇒ impartial” because missing: mean.
   Cannot apply rule “curious ∧ adorable ⇒ impartial” because missing: curious, adorable.
   Cannot apply rule “enchanting ⇒ impartial” because missing: enchanting.
   Cannot apply rule “lonely ⇒ impartial” because missing: lonely.
",0,6
"Facts: 
Rules:
stupid [IMPLY] impartial [PERIOD]
uptight [IMPLY] easy [PERIOD]
uptight [IMPLY] fancy [PERIOD]
fancy [AND] stupid [AND] easy [IMPLY] worrisome [PERIOD]
easy [AND] uptight [AND] stupid [IMPLY] clean [PERIOD]
fancy [IMPLY] stupid [PERIOD]
impartial [IMPLY] easy [PERIOD]
uptight [IMPLY] stupid [PERIOD]
stupid [AND] impartial [IMPLY] worrisome [PERIOD]
easy [IMPLY] impartial [PERIOD]
stupid [IMPLY] easy [PERIOD]
fancy [IMPLY] easy [PERIOD]
worrisome [AND] stupid [IMPLY] uptight [PERIOD]
fancy [IMPLY] uptight [PERIOD]
impartial [AND] fancy [IMPLY] clean [PERIOD]
impartial [AND] fancy [AND] uptight [IMPLY] worrisome [PERIOD]
easy [AND] stupid [AND] uptight [IMPLY] fancy [PERIOD]
uptight [AND] clean [AND] easy [IMPLY] worrisome [PERIOD]
clean [AND] uptight [IMPLY] easy [PERIOD]
Query: Alice is clean [PERIOD]","Proof chain:
   Cannot apply rule “easy ∧ uptight ∧ stupid ⇒ clean” because missing: easy, uptight, stupid.
   Cannot apply rule “impartial ∧ fancy ⇒ clean” because missing: impartial, fancy.
",0,2
"Facts: 
Rules:
cute [IMPLY] difficult [PERIOD]
joyous [AND] cute [AND] sincere [IMPLY] ambitious [PERIOD]
ambitious [AND] sincere [AND] weary [IMPLY] difficult [PERIOD]
sincere [AND] weary [AND] ambitious [IMPLY] zealous [PERIOD]
joyous [AND] sincere [IMPLY] ambitious [PERIOD]
zealous [IMPLY] good [PERIOD]
ambitious [IMPLY] joyous [PERIOD]
zealous [AND] weary [IMPLY] ambitious [PERIOD]
joyous [IMPLY] zealous [PERIOD]
sincere [AND] difficult [IMPLY] joyous [PERIOD]
ambitious [AND] sincere [IMPLY] difficult [PERIOD]
weary [IMPLY] difficult [PERIOD]
good [AND] ambitious [AND] weary [IMPLY] joyous [PERIOD]
cute [AND] zealous [AND] joyous [IMPLY] ambitious [PERIOD]
joyous [AND] sincere [AND] ambitious [IMPLY] weary [PERIOD]
joyous [AND] good [AND] sincere [IMPLY] zealous [PERIOD]
good [AND] joyous [IMPLY] sincere [PERIOD]
zealous [AND] weary [IMPLY] difficult [PERIOD]
zealous [AND] cute [AND] weary [IMPLY] ambitious [PERIOD]
weary [AND] difficult [AND] zealous [IMPLY] joyous [PERIOD]
joyous [IMPLY] difficult [PERIOD]
difficult [AND] good [IMPLY] sincere [PERIOD]
good [IMPLY] cute [PERIOD]
zealous [AND] ambitious [AND] cute [IMPLY] difficult [PERIOD]
weary [AND] sincere [IMPLY] joyous [PERIOD]
difficult [AND] good [IMPLY] ambitious [PERIOD]
joyous [AND] good [IMPLY] zealous [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   Cannot apply rule “cute ⇒ difficult” because missing: cute.
   Cannot apply rule “ambitious ∧ sincere ∧ weary ⇒ difficult” because missing: ambitious, sincere, weary.
   Cannot apply rule “ambitious ∧ sincere ⇒ difficult” because missing: ambitious, sincere.
   Cannot apply rule “weary ⇒ difficult” because missing: weary.
   Cannot apply rule “zealous ∧ weary ⇒ difficult” because missing: zealous, weary.
   Cannot apply rule “joyous ⇒ difficult” because missing: joyous.
   Cannot apply rule “zealous ∧ ambitious ∧ cute ⇒ difficult” because missing: zealous, ambitious, cute.
",0,7
"Facts:  Alice is supportive [PERIOD] Alice is hilarious [PERIOD] Alice is ugliest [PERIOD]
Rules:
grumpy [AND] elegant [IMPLY] famous [PERIOD]
famous [AND] confident [AND] thoughtful [IMPLY] supportive [PERIOD]
blushing [IMPLY] elegant [PERIOD]
bored [AND] bad-tempered [IMPLY] famous [PERIOD]
confident [IMPLY] grumpy [PERIOD]
ugliest [AND] confused [AND] elegant [IMPLY] blushing [PERIOD]
elegant [AND] bored [IMPLY] ugliest [PERIOD]
supportive [IMPLY] confident [PERIOD]
tame [AND] blushing [AND] supportive [IMPLY] thoughtful [PERIOD]
supportive [AND] famous [AND] thoughtful [IMPLY] tame [PERIOD]
tame [IMPLY] hilarious [PERIOD]
hilarious [AND] elegant [IMPLY] famous [PERIOD]
bad-tempered [AND] bored [IMPLY] confused [PERIOD]
hilarious [IMPLY] supportive [PERIOD]
grumpy [IMPLY] supportive [PERIOD]
confused [AND] ugliest [AND] bad-tempered [IMPLY] supportive [PERIOD]
thoughtful [IMPLY] blushing [PERIOD]
confused [AND] supportive [AND] bad-tempered [IMPLY] blushing [PERIOD]
bored [AND] hilarious [IMPLY] confused [PERIOD]
confident [AND] thoughtful [AND] grumpy [IMPLY] famous [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   Cannot apply rule “ugliest ∧ confused ∧ elegant ⇒ blushing” because missing: confused, elegant.
   Cannot apply rule “thoughtful ⇒ blushing” because missing: thoughtful.
   Cannot apply rule “confused ∧ supportive ∧ bad-tempered ⇒ blushing” because missing: confused, bad-tempered.
",0,3
"Facts: 
Rules:
difficult [AND] horrible [AND] talented [IMPLY] frantic [PERIOD]
difficult [IMPLY] aggressive [PERIOD]
tame [AND] talented [AND] impartial [IMPLY] enchanting [PERIOD]
smart [AND] troubled [AND] tame [IMPLY] precious [PERIOD]
troubled [IMPLY] enchanting [PERIOD]
troubled [AND] enchanting [IMPLY] difficult [PERIOD]
smart [AND] frantic [AND] aggressive [IMPLY] innocent [PERIOD]
impartial [AND] tame [IMPLY] precious [PERIOD]
precious [AND] serious [IMPLY] talented [PERIOD]
precious [IMPLY] difficult [PERIOD]
enchanting [AND] tame [AND] frantic [IMPLY] smart [PERIOD]
innocent [AND] aggressive [IMPLY] difficult [PERIOD]
innocent [AND] gifted [IMPLY] horrible [PERIOD]
horrible [IMPLY] gifted [PERIOD]
tame [IMPLY] innocent [PERIOD]
innocent [AND] horrible [IMPLY] gifted [PERIOD]
talented [AND] frantic [AND] horrible [IMPLY] gifted [PERIOD]
wide-eyed [AND] horrible [IMPLY] tame [PERIOD]
aggressive [IMPLY] gifted [PERIOD]
wide-eyed [AND] talented [IMPLY] difficult [PERIOD]
wide-eyed [AND] precious [IMPLY] smart [PERIOD]
tame [AND] enchanting [IMPLY] smart [PERIOD]
difficult [IMPLY] tame [PERIOD]
frantic [AND] aggressive [AND] difficult [IMPLY] enchanting [PERIOD]
aggressive [AND] wide-eyed [AND] serious [IMPLY] smart [PERIOD]
impartial [AND] aggressive [IMPLY] gifted [PERIOD]
talented [AND] gifted [IMPLY] wide-eyed [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   Cannot apply rule “troubled ∧ enchanting ⇒ difficult” because missing: troubled, enchanting.
   Cannot apply rule “precious ⇒ difficult” because missing: precious.
   Cannot apply rule “innocent ∧ aggressive ⇒ difficult” because missing: innocent, aggressive.
   Cannot apply rule “wide-eyed ∧ talented ⇒ difficult” because missing: wide-eyed, talented.
",0,4
"Facts:  Alice is tired [PERIOD] Alice is bored [PERIOD] Alice is serious [PERIOD] Alice is homely [PERIOD] Alice is confident [PERIOD] Alice is uptight [PERIOD]
Rules:
dishonest [IMPLY] straightforward [PERIOD]
clean [AND] distinct [IMPLY] cooperative [PERIOD]
serious [AND] sincere [IMPLY] bored [PERIOD]
condemned [IMPLY] famous [PERIOD]
distinct [AND] polite [IMPLY] lonely [PERIOD]
blushing [IMPLY] homely [PERIOD]
lonely [AND] dishonest [IMPLY] comfortable [PERIOD]
disgusted [AND] comfortable [AND] condemned [IMPLY] clean [PERIOD]
polite [AND] sincere [IMPLY] popular [PERIOD]
tame [AND] polite [IMPLY] blushing [PERIOD]
famous [AND] sincere [IMPLY] broad-minded [PERIOD]
broad-minded [AND] powerful [AND] condemned [IMPLY] nervous [PERIOD]
comfortable [AND] nervous [IMPLY] confident [PERIOD]
sincere [AND] homely [AND] polite [IMPLY] straightforward [PERIOD]
lonely [AND] good [AND] serious [IMPLY] distinct [PERIOD]
good [AND] clean [AND] tame [IMPLY] tired [PERIOD]
bored [IMPLY] serious [PERIOD]
confident [IMPLY] smart [PERIOD]
nervous [AND] dishonest [AND] broad-minded [IMPLY] disgusted [PERIOD]
good [IMPLY] powerful [PERIOD]
cooperative [AND] confident [IMPLY] dishonest [PERIOD]
tired [AND] nervous [IMPLY] bored [PERIOD]
good [AND] comfortable [IMPLY] lonely [PERIOD]
sincere [IMPLY] dishonest [PERIOD]
condemned [AND] broad-minded [IMPLY] lonely [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   Cannot apply rule “dishonest ⇒ straightforward” because missing: dishonest.
   Cannot apply rule “sincere ∧ homely ∧ polite ⇒ straightforward” because missing: sincere, polite.
",0,2
"Facts:  Alice is distinct [PERIOD] Alice is tidy [PERIOD]
Rules:
disobedient [AND] blushing [AND] precious [IMPLY] tidy [PERIOD]
uptight [AND] bored [AND] scared [IMPLY] fragile [PERIOD]
comfortable [IMPLY] powerful [PERIOD]
disobedient [AND] pessimistic [AND] frail [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] bored [PERIOD]
friendly [AND] broad-minded [IMPLY] blushing [PERIOD]
hilarious [AND] precious [AND] talented [IMPLY] calm [PERIOD]
blushing [AND] precious [IMPLY] intellectual [PERIOD]
intellectual [AND] tidy [AND] fragile [IMPLY] pessimistic [PERIOD]
talented [IMPLY] frail [PERIOD]
comfortable [AND] polite [IMPLY] intellectual [PERIOD]
broad-minded [AND] uptight [AND] polite [IMPLY] comfortable [PERIOD]
powerful [IMPLY] calm [PERIOD]
scared [AND] talented [IMPLY] intellectual [PERIOD]
blushing [AND] talkative [IMPLY] fragile [PERIOD]
talented [IMPLY] tidy [PERIOD]
naughty [IMPLY] charming [PERIOD]
talented [AND] frail [IMPLY] polite [PERIOD]
proud [AND] friendly [AND] comfortable [IMPLY] polite [PERIOD]
hilarious [IMPLY] calm [PERIOD]
talkative [AND] tidy [AND] comfortable [IMPLY] proud [PERIOD]
disobedient [AND] tidy [AND] frail [IMPLY] polite [PERIOD]
talkative [IMPLY] broad-minded [PERIOD]
charming [IMPLY] impartial [PERIOD]
polite [IMPLY] bored [PERIOD]
disobedient [AND] comfortable [AND] scared [IMPLY] intellectual [PERIOD]
frail [IMPLY] naughty [PERIOD]
talkative [AND] pessimistic [AND] tidy [IMPLY] fragile [PERIOD]
proud [AND] naughty [IMPLY] distinct [PERIOD]
calm [IMPLY] blushing [PERIOD]
charming [IMPLY] intellectual [PERIOD]
intellectual [AND] frail [IMPLY] tidy [PERIOD]
pessimistic [AND] powerful [AND] disobedient [IMPLY] distinct [PERIOD]
powerful [AND] friendly [AND] proud [IMPLY] impartial [PERIOD]
pessimistic [IMPLY] fragile [PERIOD]
powerful [AND] bored [AND] calm [IMPLY] precious [PERIOD]
scared [IMPLY] broad-minded [PERIOD]
fragile [IMPLY] intellectual [PERIOD]
pessimistic [AND] charming [AND] polite [IMPLY] uptight [PERIOD]
distinct [AND] friendly [AND] hilarious [IMPLY] tidy [PERIOD]
friendly [IMPLY] tidy [PERIOD]
bored [AND] precious [AND] uptight [IMPLY] broad-minded [PERIOD]
powerful [IMPLY] charming [PERIOD]
broad-minded [AND] scared [IMPLY] polite [PERIOD]
bored [IMPLY] naughty [PERIOD]
blushing [IMPLY] frail [PERIOD]
impartial [IMPLY] scared [PERIOD]
powerful [IMPLY] pessimistic [PERIOD]
powerful [AND] uptight [AND] scared [IMPLY] charming [PERIOD]
disobedient [AND] precious [AND] polite [IMPLY] talkative [PERIOD]
proud [AND] blushing [AND] uptight [IMPLY] comfortable [PERIOD]
disobedient [IMPLY] comfortable [PERIOD]
frail [IMPLY] precious [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   Cannot apply rule “talented ∧ frail ⇒ polite” because missing: talented, frail.
   Cannot apply rule “proud ∧ friendly ∧ comfortable ⇒ polite” because missing: proud, friendly, comfortable.
   Cannot apply rule “disobedient ∧ tidy ∧ frail ⇒ polite” because missing: disobedient, frail.
   Cannot apply rule “broad-minded ∧ scared ⇒ polite” because missing: broad-minded, scared.
",0,4
"Facts:  Alice is unpleasant [PERIOD] Alice is popular [PERIOD]
Rules:
good [IMPLY] smart [PERIOD]
jittery [AND] polite [AND] strange [IMPLY] bossy [PERIOD]
good [AND] smart [AND] unpleasant [IMPLY] nervous [PERIOD]
strange [AND] different [AND] smart [IMPLY] popular [PERIOD]
bossy [AND] smart [AND] selfish [IMPLY] strange [PERIOD]
polite [AND] lucky [IMPLY] unpleasant [PERIOD]
polite [AND] nervous [AND] popular [IMPLY] strange [PERIOD]
popular [AND] nervous [IMPLY] smart [PERIOD]
smart [AND] strange [IMPLY] selfish [PERIOD]
unpleasant [AND] strange [IMPLY] lucky [PERIOD]
polite [AND] smart [IMPLY] strange [PERIOD]
good [IMPLY] nervous [PERIOD]
nervous [AND] bossy [AND] popular [IMPLY] sensible [PERIOD]
lucky [AND] strange [AND] popular [IMPLY] polite [PERIOD]
lucky [AND] unpleasant [AND] nervous [IMPLY] polite [PERIOD]
selfish [AND] bossy [AND] different [IMPLY] smart [PERIOD]
lucky [AND] nervous [IMPLY] good [PERIOD]
smart [AND] popular [AND] selfish [IMPLY] bossy [PERIOD]
polite [AND] nervous [AND] popular [IMPLY] lucky [PERIOD]
polite [AND] lucky [IMPLY] bossy [PERIOD]
different [IMPLY] good [PERIOD]
polite [AND] good [AND] unpleasant [IMPLY] jittery [PERIOD]
bossy [AND] unpleasant [IMPLY] lucky [PERIOD]
polite [IMPLY] smart [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   Cannot apply rule “jittery ∧ polite ∧ strange ⇒ bossy” because missing: jittery, polite, strange.
   Cannot apply rule “smart ∧ popular ∧ selfish ⇒ bossy” because missing: smart, selfish.
   Cannot apply rule “polite ∧ lucky ⇒ bossy” because missing: polite, lucky.
",0,3
"Facts:  Alice is bright [PERIOD] Alice is perfect [PERIOD] Alice is gifted [PERIOD] Alice is embarrassed [PERIOD] Alice is talkative [PERIOD] Alice is glamorous [PERIOD] Alice is joyous [PERIOD] Alice is hilarious [PERIOD]
Rules:
perfect [IMPLY] glamorous [PERIOD]
helpful [IMPLY] busy [PERIOD]
bright [AND] joyous [IMPLY] rude [PERIOD]
perfect [AND] joyous [AND] busy [IMPLY] gifted [PERIOD]
perfect [AND] embarrassed [IMPLY] glamorous [PERIOD]
busy [IMPLY] rude [PERIOD]
perfect [IMPLY] hilarious [PERIOD]
shy [AND] perfect [IMPLY] talkative [PERIOD]
busy [AND] helpful [IMPLY] joyous [PERIOD]
talkative [AND] busy [AND] glamorous [IMPLY] perfect [PERIOD]
busy [AND] shy [AND] joyous [IMPLY] hilarious [PERIOD]
busy [AND] rude [IMPLY] hilarious [PERIOD]
joyous [IMPLY] gifted [PERIOD]
helpful [AND] busy [IMPLY] perfect [PERIOD]
shy [AND] bright [IMPLY] joyous [PERIOD]
bright [AND] busy [AND] joyous [IMPLY] rude [PERIOD]
joyous [IMPLY] shy [PERIOD]
perfect [AND] shy [AND] glamorous [IMPLY] joyous [PERIOD]
helpful [AND] glamorous [IMPLY] perfect [PERIOD]
busy [AND] joyous [IMPLY] shy [PERIOD]
hilarious [IMPLY] glamorous [PERIOD]
talkative [AND] bright [AND] joyous [IMPLY] rude [PERIOD]
glamorous [AND] busy [IMPLY] bright [PERIOD]
joyous [AND] embarrassed [AND] gifted [IMPLY] bright [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   joyous ⇒ shy
",1,1
"Facts:  Alice is frantic [PERIOD] Alice is weary [PERIOD] Alice is dishonest [PERIOD] Alice is powerful [PERIOD] Alice is smart [PERIOD] Alice is straightforward [PERIOD] Alice is outrageous [PERIOD] Alice is bad-tempered [PERIOD]
Rules:
silly [IMPLY] foolish [PERIOD]
bright [AND] outstanding [AND] courageous [IMPLY] easy [PERIOD]
straightforward [AND] bored [IMPLY] elated [PERIOD]
elated [AND] pessimistic [AND] courageous [IMPLY] combative [PERIOD]
powerful [AND] pessimistic [IMPLY] elated [PERIOD]
straightforward [IMPLY] nervous [PERIOD]
straightforward [AND] confident [AND] weary [IMPLY] outstanding [PERIOD]
easy [IMPLY] weary [PERIOD]
elated [AND] outstanding [AND] bad-tempered [IMPLY] dishonest [PERIOD]
straightforward [AND] diplomatic [IMPLY] combative [PERIOD]
foolish [AND] messy [IMPLY] confident [PERIOD]
diplomatic [IMPLY] cooperative [PERIOD]
silly [AND] straightforward [IMPLY] diplomatic [PERIOD]
courageous [IMPLY] outrageous [PERIOD]
powerful [AND] cooperative [AND] easy [IMPLY] attractive [PERIOD]
bored [IMPLY] silly [PERIOD]
attractive [IMPLY] dishonest [PERIOD]
messy [AND] powerful [IMPLY] pessimistic [PERIOD]
messy [AND] cooperative [AND] outstanding [IMPLY] powerful [PERIOD]
nervous [AND] weary [AND] attractive [IMPLY] smart [PERIOD]
powerful [AND] cooperative [AND] outstanding [IMPLY] bored [PERIOD]
dishonest [IMPLY] attractive [PERIOD]
smart [IMPLY] dishonest [PERIOD]
confident [AND] elated [AND] diplomatic [IMPLY] straightforward [PERIOD]
messy [AND] diplomatic [IMPLY] outrageous [PERIOD]
bored [AND] easy [IMPLY] bad-tempered [PERIOD]
silly [IMPLY] straightforward [PERIOD]
cooperative [IMPLY] outstanding [PERIOD]
dishonest [AND] nervous [IMPLY] bored [PERIOD]
bright [IMPLY] dishonest [PERIOD]
weary [IMPLY] nervous [PERIOD]
easy [AND] diplomatic [IMPLY] cooperative [PERIOD]
weary [IMPLY] combative [PERIOD]
cooperative [AND] foolish [IMPLY] dishonest [PERIOD]
combative [AND] silly [IMPLY] foolish [PERIOD]
smart [AND] straightforward [AND] confident [IMPLY] outrageous [PERIOD]
powerful [AND] bored [IMPLY] attractive [PERIOD]
diplomatic [AND] outstanding [AND] outrageous [IMPLY] dishonest [PERIOD]
bored [AND] nervous [IMPLY] dishonest [PERIOD]
attractive [AND] pessimistic [IMPLY] courageous [PERIOD]
Query: Alice is confident [PERIOD]","Proof chain:
   straightforward ⇒ nervous
   dishonest ∧ nervous ⇒ bored
   bored ⇒ silly
   silly ⇒ foolish
   Cannot apply rule “foolish ∧ messy ⇒ confident” because missing: messy.
",0,5
"Facts: 
Rules:
condemned [AND] naughty [AND] uptight [IMPLY] frantic [PERIOD]
versatile [AND] innocent [AND] sleepy [IMPLY] condemned [PERIOD]
frantic [IMPLY] mysterious [PERIOD]
condemned [AND] pessimistic [IMPLY] versatile [PERIOD]
silly [AND] frantic [AND] innocent [IMPLY] busy [PERIOD]
sleepy [AND] pessimistic [AND] frantic [IMPLY] versatile [PERIOD]
mysterious [AND] naughty [IMPLY] busy [PERIOD]
sleepy [AND] agreeable [AND] versatile [IMPLY] condemned [PERIOD]
versatile [AND] mysterious [AND] pessimistic [IMPLY] sleepy [PERIOD]
versatile [AND] mysterious [AND] uptight [IMPLY] rude [PERIOD]
silly [AND] uptight [IMPLY] pessimistic [PERIOD]
sleepy [IMPLY] agreeable [PERIOD]
rude [IMPLY] frantic [PERIOD]
condemned [IMPLY] uptight [PERIOD]
innocent [AND] bored [IMPLY] naughty [PERIOD]
pessimistic [AND] frantic [AND] naughty [IMPLY] innocent [PERIOD]
silly [AND] weary [AND] innocent [IMPLY] nervous [PERIOD]
stormy [IMPLY] busy [PERIOD]
sleepy [AND] mysterious [AND] rude [IMPLY] innocent [PERIOD]
naughty [IMPLY] uptight [PERIOD]
pessimistic [AND] busy [AND] agreeable [IMPLY] naughty [PERIOD]
agreeable [IMPLY] nervous [PERIOD]
bored [AND] frantic [IMPLY] weary [PERIOD]
busy [IMPLY] frantic [PERIOD]
versatile [AND] stormy [IMPLY] sleepy [PERIOD]
weary [AND] frantic [IMPLY] naughty [PERIOD]
versatile [AND] stormy [AND] sleepy [IMPLY] rude [PERIOD]
busy [AND] frantic [AND] condemned [IMPLY] rude [PERIOD]
sleepy [IMPLY] condemned [PERIOD]
agreeable [AND] uptight [IMPLY] bored [PERIOD]
frantic [AND] naughty [AND] bored [IMPLY] agreeable [PERIOD]
frantic [AND] weary [IMPLY] stormy [PERIOD]
agreeable [AND] sleepy [IMPLY] stormy [PERIOD]
mysterious [AND] condemned [IMPLY] stormy [PERIOD]
innocent [IMPLY] sleepy [PERIOD]
bored [IMPLY] frantic [PERIOD]
versatile [IMPLY] pessimistic [PERIOD]
bored [AND] naughty [IMPLY] sleepy [PERIOD]
sleepy [AND] rude [IMPLY] silly [PERIOD]
innocent [IMPLY] frantic [PERIOD]
stormy [IMPLY] innocent [PERIOD]
agreeable [AND] bored [AND] busy [IMPLY] sleepy [PERIOD]
nervous [IMPLY] pessimistic [PERIOD]
silly [IMPLY] sleepy [PERIOD]
pessimistic [AND] silly [AND] versatile [IMPLY] rude [PERIOD]
frantic [AND] uptight [AND] bored [IMPLY] innocent [PERIOD]
innocent [AND] weary [AND] sleepy [IMPLY] silly [PERIOD]
condemned [AND] sleepy [IMPLY] agreeable [PERIOD]
weary [AND] sleepy [IMPLY] versatile [PERIOD]
innocent [AND] silly [IMPLY] versatile [PERIOD]
busy [AND] stormy [IMPLY] innocent [PERIOD]
mysterious [AND] versatile [AND] sleepy [IMPLY] busy [PERIOD]
busy [AND] silly [AND] mysterious [IMPLY] nervous [PERIOD]
weary [AND] condemned [AND] frantic [IMPLY] busy [PERIOD]
agreeable [AND] frantic [AND] uptight [IMPLY] stormy [PERIOD]
silly [IMPLY] bored [PERIOD]
stormy [IMPLY] naughty [PERIOD]
bored [IMPLY] sleepy [PERIOD]
weary [IMPLY] pessimistic [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   Cannot apply rule “versatile ∧ mysterious ∧ pessimistic ⇒ sleepy” because missing: versatile, mysterious, pessimistic.
   Cannot apply rule “versatile ∧ stormy ⇒ sleepy” because missing: versatile, stormy.
   Cannot apply rule “innocent ⇒ sleepy” because missing: innocent.
   Cannot apply rule “bored ∧ naughty ⇒ sleepy” because missing: bored, naughty.
   Cannot apply rule “agreeable ∧ bored ∧ busy ⇒ sleepy” because missing: agreeable, bored, busy.
   Cannot apply rule “silly ⇒ sleepy” because missing: silly.
   Cannot apply rule “bored ⇒ sleepy” because missing: bored.
",0,7
"Facts:  Alice is cooperative [PERIOD] Alice is reserved [PERIOD] Alice is homely [PERIOD]
Rules:
cute [AND] homely [IMPLY] blushing [PERIOD]
attentive [AND] reserved [AND] clumsy [IMPLY] hurt [PERIOD]
blushing [AND] attentive [AND] homely [IMPLY] cute [PERIOD]
clumsy [IMPLY] attentive [PERIOD]
homely [IMPLY] stormy [PERIOD]
cooperative [AND] stormy [AND] clumsy [IMPLY] cute [PERIOD]
stormy [AND] serious [AND] clumsy [IMPLY] blushing [PERIOD]
homely [AND] serious [IMPLY] attentive [PERIOD]
worrisome [AND] blushing [IMPLY] busy [PERIOD]
serious [IMPLY] attentive [PERIOD]
attentive [AND] serious [IMPLY] long [PERIOD]
attentive [IMPLY] serious [PERIOD]
stormy [IMPLY] reserved [PERIOD]
cute [AND] blushing [IMPLY] hurt [PERIOD]
attentive [AND] reserved [IMPLY] clumsy [PERIOD]
stormy [AND] worrisome [AND] long [IMPLY] cooperative [PERIOD]
clumsy [AND] attentive [IMPLY] worrisome [PERIOD]
serious [AND] long [IMPLY] blushing [PERIOD]
serious [AND] homely [AND] long [IMPLY] clumsy [PERIOD]
worrisome [IMPLY] cooperative [PERIOD]
cooperative [IMPLY] busy [PERIOD]
cute [IMPLY] clumsy [PERIOD]
cute [AND] worrisome [IMPLY] busy [PERIOD]
attentive [AND] blushing [AND] cute [IMPLY] reserved [PERIOD]
cute [IMPLY] serious [PERIOD]
long [AND] cooperative [IMPLY] blushing [PERIOD]
busy [AND] attentive [IMPLY] homely [PERIOD]
long [AND] reserved [AND] cooperative [IMPLY] serious [PERIOD]
hurt [IMPLY] cooperative [PERIOD]
stormy [AND] long [IMPLY] busy [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   Cannot apply rule “cute ∧ homely ⇒ blushing” because missing: cute.
   homely ⇒ stormy
   Cannot apply rule “stormy ∧ serious ∧ clumsy ⇒ blushing” because missing: serious, clumsy.
   Cannot apply rule “serious ∧ long ⇒ blushing” because missing: serious, long.
   Cannot apply rule “long ∧ cooperative ⇒ blushing” because missing: long.
",0,5
"Facts: 
Rules:
troubled [AND] selfish [AND] messy [IMPLY] broad-minded [PERIOD]
comfortable [IMPLY] broad-minded [PERIOD]
messy [IMPLY] comfortable [PERIOD]
broad-minded [IMPLY] troubled [PERIOD]
comfortable [AND] broad-minded [IMPLY] troubled [PERIOD]
comfortable [AND] messy [IMPLY] troubled [PERIOD]
selfish [AND] troubled [IMPLY] messy [PERIOD]
messy [AND] comfortable [IMPLY] broad-minded [PERIOD]
comfortable [IMPLY] messy [PERIOD]
troubled [AND] messy [IMPLY] comfortable [PERIOD]
comfortable [AND] selfish [AND] broad-minded [IMPLY] troubled [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ⇒ troubled” because missing: broad-minded.
   Cannot apply rule “comfortable ∧ broad-minded ⇒ troubled” because missing: comfortable, broad-minded.
   Cannot apply rule “comfortable ∧ messy ⇒ troubled” because missing: comfortable, messy.
   Cannot apply rule “comfortable ∧ selfish ∧ broad-minded ⇒ troubled” because missing: comfortable, selfish, broad-minded.
",0,4
"Facts:  Alice is good [PERIOD] Alice is precious [PERIOD] Alice is tidy [PERIOD] Alice is difficult [PERIOD] Alice is worrisome [PERIOD] Alice is amused [PERIOD] Alice is confident [PERIOD]
Rules:
shiny [IMPLY] precious [PERIOD]
frantic [IMPLY] lonely [PERIOD]
frantic [AND] courageous [IMPLY] lonely [PERIOD]
frantic [AND] muddy [AND] good [IMPLY] nervous [PERIOD]
shiny [AND] muddy [AND] anxious [IMPLY] confident [PERIOD]
frantic [AND] difficult [AND] tidy [IMPLY] lonely [PERIOD]
anxious [IMPLY] precious [PERIOD]
worrisome [AND] frantic [IMPLY] cooperative [PERIOD]
confident [AND] good [IMPLY] shiny [PERIOD]
difficult [AND] nervous [AND] cooperative [IMPLY] confident [PERIOD]
worrisome [AND] scared [IMPLY] muddy [PERIOD]
tidy [AND] worrisome [AND] cooperative [IMPLY] precious [PERIOD]
worrisome [IMPLY] good [PERIOD]
nervous [IMPLY] difficult [PERIOD]
confident [AND] cooperative [IMPLY] courageous [PERIOD]
cooperative [AND] mean [AND] amused [IMPLY] good [PERIOD]
tidy [IMPLY] worrisome [PERIOD]
tidy [AND] courageous [IMPLY] cooperative [PERIOD]
anxious [IMPLY] courageous [PERIOD]
frantic [AND] good [IMPLY] anxious [PERIOD]
precious [AND] scared [AND] difficult [IMPLY] muddy [PERIOD]
worrisome [AND] courageous [AND] scared [IMPLY] tidy [PERIOD]
tidy [AND] courageous [AND] good [IMPLY] anxious [PERIOD]
amused [AND] worrisome [AND] lonely [IMPLY] scared [PERIOD]
worrisome [IMPLY] muddy [PERIOD]
cooperative [IMPLY] amused [PERIOD]
lonely [AND] tidy [IMPLY] precious [PERIOD]
cooperative [AND] shiny [AND] amused [IMPLY] lonely [PERIOD]
shiny [AND] courageous [IMPLY] anxious [PERIOD]
cooperative [AND] tidy [IMPLY] shiny [PERIOD]
nervous [AND] difficult [IMPLY] worrisome [PERIOD]
scared [AND] lonely [AND] courageous [IMPLY] amused [PERIOD]
difficult [IMPLY] precious [PERIOD]
confident [IMPLY] tidy [PERIOD]
lonely [AND] muddy [AND] scared [IMPLY] mean [PERIOD]
frantic [AND] muddy [IMPLY] courageous [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   worrisome ⇒ muddy
   Cannot apply rule “lonely ∧ muddy ∧ scared ⇒ mean” because missing: lonely, scared.
",0,2
"Facts:  Alice is talkative [PERIOD] Alice is worrisome [PERIOD]
Rules:
worrisome [AND] difficult [AND] long [IMPLY] hurt [PERIOD]
long [AND] different [AND] spotless [IMPLY] wide-eyed [PERIOD]
hurt [AND] adorable [AND] talkative [IMPLY] witty [PERIOD]
loving [IMPLY] ugly [PERIOD]
talkative [IMPLY] ugly [PERIOD]
different [AND] witty [IMPLY] spotless [PERIOD]
Query: Alice is good [PERIOD]","Proof chain:
   No rule concludes “good.”
",0,1
"Facts:  Alice is bossy [PERIOD] Alice is amused [PERIOD]
Rules:
attentive [AND] spotless [IMPLY] grumpy [PERIOD]
pessimistic [AND] grumpy [AND] amused [IMPLY] ugly [PERIOD]
bossy [IMPLY] amused [PERIOD]
attentive [AND] grumpy [AND] spotless [IMPLY] fearless [PERIOD]
serious [IMPLY] attentive [PERIOD]
fearless [AND] calm [IMPLY] attentive [PERIOD]
fearless [AND] serious [IMPLY] sincere [PERIOD]
grumpy [IMPLY] serious [PERIOD]
spotless [AND] ugly [AND] sincere [IMPLY] attentive [PERIOD]
ugly [IMPLY] pessimistic [PERIOD]
serious [AND] ugly [AND] attentive [IMPLY] bossy [PERIOD]
amused [AND] grumpy [AND] pessimistic [IMPLY] bossy [PERIOD]
sincere [AND] bossy [IMPLY] attentive [PERIOD]
bossy [AND] attentive [AND] grumpy [IMPLY] spotless [PERIOD]
sincere [AND] ugly [AND] amused [IMPLY] serious [PERIOD]
grumpy [IMPLY] attentive [PERIOD]
grumpy [AND] amused [AND] attentive [IMPLY] calm [PERIOD]
grumpy [AND] fearless [IMPLY] calm [PERIOD]
fearless [AND] sincere [AND] grumpy [IMPLY] spotless [PERIOD]
amused [AND] bossy [AND] attentive [IMPLY] sincere [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   Cannot apply rule “grumpy ⇒ serious” because missing: grumpy.
   Cannot apply rule “sincere ∧ ugly ∧ amused ⇒ serious” because missing: sincere, ugly.
",0,2
"Facts:  Alice is crowded [PERIOD]
Rules:
confident [IMPLY] victorious [PERIOD]
confident [IMPLY] difficult [PERIOD]
confident [AND] difficult [AND] crowded [IMPLY] victorious [PERIOD]
victorious [AND] cruel [AND] crowded [IMPLY] difficult [PERIOD]
fancy [AND] cruel [AND] difficult [IMPLY] selfish [PERIOD]
crowded [AND] difficult [IMPLY] cruel [PERIOD]
confident [IMPLY] cruel [PERIOD]
selfish [IMPLY] difficult [PERIOD]
crowded [AND] cruel [IMPLY] selfish [PERIOD]
fancy [AND] difficult [IMPLY] victorious [PERIOD]
fancy [AND] crowded [IMPLY] difficult [PERIOD]
victorious [IMPLY] selfish [PERIOD]
cruel [AND] selfish [IMPLY] crowded [PERIOD]
victorious [AND] cruel [IMPLY] confident [PERIOD]
cruel [IMPLY] confident [PERIOD]
confident [AND] fancy [AND] selfish [IMPLY] victorious [PERIOD]
cruel [IMPLY] fancy [PERIOD]
fancy [AND] victorious [AND] confident [IMPLY] selfish [PERIOD]
selfish [AND] confident [IMPLY] fancy [PERIOD]
Query: Alice is selfish [PERIOD]","Proof chain:
   Cannot apply rule “fancy ∧ cruel ∧ difficult ⇒ selfish” because missing: fancy, cruel, difficult.
   Cannot apply rule “crowded ∧ cruel ⇒ selfish” because missing: cruel.
   Cannot apply rule “victorious ⇒ selfish” because missing: victorious.
   Cannot apply rule “fancy ∧ victorious ∧ confident ⇒ selfish” because missing: fancy, victorious, confident.
",0,4
"Facts:  Alice is horrible [PERIOD] Alice is mean [PERIOD]
Rules:
hypocritical [AND] bored [IMPLY] old-fashioned [PERIOD]
tidy [AND] horrible [AND] homely [IMPLY] ambitious [PERIOD]
tidy [AND] hypocritical [IMPLY] ambitious [PERIOD]
lucky [AND] bossy [IMPLY] tired [PERIOD]
bored [AND] hypocritical [IMPLY] lucky [PERIOD]
hurt [AND] horrible [AND] cute [IMPLY] helpless [PERIOD]
fancy [IMPLY] hurt [PERIOD]
bossy [IMPLY] worried [PERIOD]
loving [AND] bossy [AND] busy [IMPLY] tired [PERIOD]
cute [AND] tired [IMPLY] bored [PERIOD]
tired [IMPLY] outrageous [PERIOD]
tidy [AND] helpless [IMPLY] old-fashioned [PERIOD]
tired [AND] bossy [AND] busy [IMPLY] outrageous [PERIOD]
busy [AND] tired [AND] bored [IMPLY] hypocritical [PERIOD]
tired [AND] bossy [IMPLY] mean [PERIOD]
outrageous [AND] bossy [IMPLY] tidy [PERIOD]
bossy [AND] fancy [AND] hurt [IMPLY] curious [PERIOD]
loving [AND] lucky [IMPLY] busy [PERIOD]
hypocritical [AND] old-fashioned [IMPLY] bored [PERIOD]
attentive [AND] curious [IMPLY] ambitious [PERIOD]
fancy [AND] busy [AND] mean [IMPLY] bossy [PERIOD]
fancy [IMPLY] cute [PERIOD]
polite [IMPLY] bored [PERIOD]
attentive [IMPLY] homely [PERIOD]
tired [AND] loving [AND] fancy [IMPLY] curious [PERIOD]
hurt [AND] tidy [AND] fancy [IMPLY] outrageous [PERIOD]
loving [AND] attentive [AND] helpless [IMPLY] bored [PERIOD]
attentive [IMPLY] hypocritical [PERIOD]
tidy [AND] loving [IMPLY] curious [PERIOD]
tidy [IMPLY] hurt [PERIOD]
mean [AND] hurt [IMPLY] attentive [PERIOD]
tidy [IMPLY] old-fashioned [PERIOD]
old-fashioned [IMPLY] helpless [PERIOD]
fancy [IMPLY] lucky [PERIOD]
horrible [IMPLY] polite [PERIOD]
ambitious [IMPLY] loving [PERIOD]
bored [IMPLY] curious [PERIOD]
worried [IMPLY] outrageous [PERIOD]
bored [AND] helpless [AND] tidy [IMPLY] lucky [PERIOD]
lucky [AND] worried [AND] hypocritical [IMPLY] helpless [PERIOD]
bored [AND] curious [AND] homely [IMPLY] bossy [PERIOD]
hypocritical [AND] bossy [IMPLY] loving [PERIOD]
busy [IMPLY] loving [PERIOD]
helpless [IMPLY] tidy [PERIOD]
loving [AND] ambitious [IMPLY] lucky [PERIOD]
tired [IMPLY] polite [PERIOD]
ambitious [IMPLY] tidy [PERIOD]
mean [AND] hurt [AND] curious [IMPLY] tidy [PERIOD]
busy [AND] loving [IMPLY] outrageous [PERIOD]
tidy [AND] hypocritical [IMPLY] busy [PERIOD]
homely [IMPLY] helpless [PERIOD]
tired [AND] polite [AND] ambitious [IMPLY] loving [PERIOD]
lucky [AND] outrageous [AND] mean [IMPLY] homely [PERIOD]
mean [AND] polite [AND] curious [IMPLY] bossy [PERIOD]
mean [IMPLY] helpless [PERIOD]
attentive [AND] curious [AND] bored [IMPLY] loving [PERIOD]
tidy [AND] tired [IMPLY] hurt [PERIOD]
ambitious [AND] cute [IMPLY] homely [PERIOD]
polite [IMPLY] homely [PERIOD]
homely [AND] tidy [AND] polite [IMPLY] outrageous [PERIOD]
helpless [AND] busy [AND] bored [IMPLY] cute [PERIOD]
curious [AND] worried [IMPLY] busy [PERIOD]
cute [AND] curious [AND] worried [IMPLY] bored [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   mean ⇒ helpless
   helpless ⇒ tidy
   tidy ⇒ hurt
   mean ∧ hurt ⇒ attentive
",1,4
"Facts:  Alice is tame [PERIOD] Alice is courageous [PERIOD] Alice is bored [PERIOD]
Rules:
courageous [IMPLY] tame [PERIOD]
smart [IMPLY] sleepy [PERIOD]
courageous [AND] sleepy [AND] confident [IMPLY] foolish [PERIOD]
bored [IMPLY] foolish [PERIOD]
sleepy [IMPLY] jittery [PERIOD]
blushing [AND] smart [IMPLY] shy [PERIOD]
tame [AND] serious [AND] courageous [IMPLY] shy [PERIOD]
sleepy [AND] tame [AND] smart [IMPLY] confident [PERIOD]
thoughtless [AND] embarrassed [AND] jittery [IMPLY] confident [PERIOD]
jittery [AND] foolish [AND] sleepy [IMPLY] tame [PERIOD]
blushing [AND] foolish [IMPLY] thoughtless [PERIOD]
embarrassed [AND] bored [AND] smart [IMPLY] shy [PERIOD]
thoughtless [AND] confident [AND] smart [IMPLY] embarrassed [PERIOD]
thoughtless [AND] foolish [IMPLY] bored [PERIOD]
tame [AND] sleepy [IMPLY] serious [PERIOD]
courageous [AND] serious [AND] blushing [IMPLY] tame [PERIOD]
bored [AND] sleepy [IMPLY] thoughtless [PERIOD]
courageous [AND] foolish [AND] embarrassed [IMPLY] tame [PERIOD]
smart [IMPLY] bored [PERIOD]
blushing [IMPLY] bored [PERIOD]
shy [AND] tame [AND] sleepy [IMPLY] embarrassed [PERIOD]
jittery [AND] blushing [IMPLY] thoughtless [PERIOD]
sleepy [AND] jittery [AND] embarrassed [IMPLY] tame [PERIOD]
serious [AND] smart [IMPLY] blushing [PERIOD]
sleepy [IMPLY] smart [PERIOD]
jittery [IMPLY] blushing [PERIOD]
confident [AND] tame [AND] foolish [IMPLY] jittery [PERIOD]
bored [AND] thoughtless [IMPLY] tame [PERIOD]
Query: Alice is embarrassed [PERIOD]","Proof chain:
   Cannot apply rule “thoughtless ∧ confident ∧ smart ⇒ embarrassed” because missing: thoughtless, confident, smart.
   Cannot apply rule “shy ∧ tame ∧ sleepy ⇒ embarrassed” because missing: shy, sleepy.
",0,2
"Facts:  Alice is glamorous [PERIOD] Alice is hypocritical [PERIOD] Alice is wrong [PERIOD] Alice is amused [PERIOD]
Rules:
amused [AND] modern [AND] disobedient [IMPLY] precious [PERIOD]
hypocritical [AND] cute [IMPLY] disobedient [PERIOD]
wrong [AND] disobedient [IMPLY] stupid [PERIOD]
precious [AND] cute [AND] wrong [IMPLY] disobedient [PERIOD]
amused [AND] precious [AND] witty [IMPLY] modern [PERIOD]
stupid [AND] wrong [IMPLY] modern [PERIOD]
wrong [AND] cute [AND] amused [IMPLY] hypocritical [PERIOD]
glamorous [AND] witty [IMPLY] precious [PERIOD]
hypocritical [IMPLY] amused [PERIOD]
impatient [IMPLY] cute [PERIOD]
wrong [AND] witty [AND] hypocritical [IMPLY] amused [PERIOD]
disobedient [IMPLY] glamorous [PERIOD]
modern [AND] cute [IMPLY] impatient [PERIOD]
modern [AND] wrong [IMPLY] amused [PERIOD]
stupid [IMPLY] amused [PERIOD]
disobedient [AND] modern [IMPLY] glamorous [PERIOD]
cute [AND] wrong [AND] glamorous [IMPLY] impatient [PERIOD]
witty [AND] modern [AND] wrong [IMPLY] cute [PERIOD]
glamorous [AND] precious [IMPLY] stupid [PERIOD]
precious [AND] witty [AND] impatient [IMPLY] cute [PERIOD]
precious [AND] impatient [IMPLY] hypocritical [PERIOD]
modern [AND] disobedient [AND] stupid [IMPLY] impatient [PERIOD]
hypocritical [AND] impatient [AND] cute [IMPLY] glamorous [PERIOD]
wrong [AND] disobedient [AND] hypocritical [IMPLY] amused [PERIOD]
precious [AND] impatient [AND] stupid [IMPLY] glamorous [PERIOD]
witty [AND] amused [IMPLY] cute [PERIOD]
modern [IMPLY] glamorous [PERIOD]
hypocritical [AND] glamorous [AND] cute [IMPLY] wrong [PERIOD]
modern [IMPLY] disobedient [PERIOD]
precious [AND] amused [AND] impatient [IMPLY] glamorous [PERIOD]
impatient [AND] hypocritical [AND] precious [IMPLY] modern [PERIOD]
disobedient [IMPLY] hypocritical [PERIOD]
cute [AND] hypocritical [IMPLY] witty [PERIOD]
disobedient [AND] modern [IMPLY] wrong [PERIOD]
disobedient [AND] precious [IMPLY] modern [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   Cannot apply rule “hypocritical ∧ cute ⇒ disobedient” because missing: cute.
   Cannot apply rule “precious ∧ cute ∧ wrong ⇒ disobedient” because missing: precious, cute.
   Cannot apply rule “modern ⇒ disobedient” because missing: modern.
",0,3
"Facts: 
Rules:
adorable [IMPLY] wide-eyed [PERIOD]
cooperative [AND] attentive [IMPLY] stupid [PERIOD]
cooperative [AND] adorable [AND] ugly [IMPLY] stupid [PERIOD]
victorious [AND] worrisome [IMPLY] easy [PERIOD]
stupid [IMPLY] clumsy [PERIOD]
ugly [IMPLY] wide-eyed [PERIOD]
clumsy [IMPLY] adorable [PERIOD]
attentive [AND] ugly [IMPLY] easy [PERIOD]
cooperative [AND] easy [AND] sleepy [IMPLY] worrisome [PERIOD]
ugly [IMPLY] victorious [PERIOD]
worrisome [IMPLY] easy [PERIOD]
clumsy [AND] ugly [AND] adorable [IMPLY] stupid [PERIOD]
stupid [AND] sleepy [IMPLY] worrisome [PERIOD]
attentive [AND] worrisome [IMPLY] victorious [PERIOD]
cooperative [IMPLY] wide-eyed [PERIOD]
adorable [AND] cooperative [IMPLY] wide-eyed [PERIOD]
sleepy [AND] wide-eyed [IMPLY] worrisome [PERIOD]
stupid [IMPLY] shy [PERIOD]
easy [AND] stupid [AND] shy [IMPLY] wide-eyed [PERIOD]
worrisome [IMPLY] victorious [PERIOD]
attentive [AND] stupid [IMPLY] worrisome [PERIOD]
attentive [IMPLY] stupid [PERIOD]
sleepy [IMPLY] adorable [PERIOD]
wide-eyed [AND] victorious [IMPLY] attentive [PERIOD]
victorious [IMPLY] easy [PERIOD]
stupid [AND] wide-eyed [IMPLY] victorious [PERIOD]
attentive [IMPLY] worrisome [PERIOD]
cooperative [AND] wide-eyed [IMPLY] attentive [PERIOD]
victorious [IMPLY] adorable [PERIOD]
sleepy [IMPLY] shy [PERIOD]
shy [AND] attentive [IMPLY] clumsy [PERIOD]
stupid [IMPLY] victorious [PERIOD]
worrisome [AND] sleepy [IMPLY] cooperative [PERIOD]
victorious [AND] ugly [IMPLY] clumsy [PERIOD]
stupid [AND] attentive [IMPLY] easy [PERIOD]
stupid [AND] victorious [AND] cooperative [IMPLY] shy [PERIOD]
cooperative [IMPLY] clumsy [PERIOD]
attentive [AND] cooperative [IMPLY] clumsy [PERIOD]
sleepy [AND] shy [AND] easy [IMPLY] adorable [PERIOD]
worrisome [AND] adorable [AND] wide-eyed [IMPLY] clumsy [PERIOD]
shy [AND] easy [IMPLY] cooperative [PERIOD]
worrisome [AND] shy [AND] stupid [IMPLY] clumsy [PERIOD]
adorable [IMPLY] cooperative [PERIOD]
shy [IMPLY] easy [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   Cannot apply rule “ugly ⇒ victorious” because missing: ugly.
   Cannot apply rule “attentive ∧ worrisome ⇒ victorious” because missing: attentive, worrisome.
   Cannot apply rule “worrisome ⇒ victorious” because missing: worrisome.
   Cannot apply rule “stupid ∧ wide-eyed ⇒ victorious” because missing: stupid, wide-eyed.
   Cannot apply rule “stupid ⇒ victorious” because missing: stupid.
",0,5
"Facts: 
Rules:
comfortable [IMPLY] gorgeous [PERIOD]
mean [AND] inexpensive [IMPLY] cruel [PERIOD]
stubborn [AND] thoughtless [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] inexpensive [PERIOD]
inexpensive [AND] thoughtless [IMPLY] precious [PERIOD]
careless [AND] curious [IMPLY] powerful [PERIOD]
precious [IMPLY] sensible [PERIOD]
mean [IMPLY] bright [PERIOD]
sleepy [AND] cruel [AND] intellectual [IMPLY] curious [PERIOD]
cruel [AND] thoughtless [IMPLY] comfortable [PERIOD]
cute [IMPLY] comfortable [PERIOD]
gorgeous [AND] polite [IMPLY] sleepy [PERIOD]
intellectual [IMPLY] stubborn [PERIOD]
polite [AND] mean [AND] thoughtless [IMPLY] careless [PERIOD]
intellectual [AND] bright [AND] cruel [IMPLY] inexpensive [PERIOD]
Query: Alice is beautiful [PERIOD]","Proof chain:
   Cannot apply rule “stubborn ∧ thoughtless ⇒ beautiful” because missing: stubborn, thoughtless.
",0,1
"Facts:  Alice is inquisitive [PERIOD] Alice is tidy [PERIOD] Alice is versatile [PERIOD] Alice is straightforward [PERIOD]
Rules:
inquisitive [AND] troubled [AND] outrageous [IMPLY] dull [PERIOD]
dull [IMPLY] troubled [PERIOD]
amused [AND] dishonest [IMPLY] versatile [PERIOD]
versatile [AND] popular [IMPLY] tidy [PERIOD]
outrageous [IMPLY] inquisitive [PERIOD]
inquisitive [AND] versatile [AND] troubled [IMPLY] popular [PERIOD]
versatile [IMPLY] outrageous [PERIOD]
tidy [AND] popular [AND] straightforward [IMPLY] exuberant [PERIOD]
outrageous [IMPLY] tidy [PERIOD]
versatile [AND] troubled [AND] dishonest [IMPLY] inquisitive [PERIOD]
tidy [AND] unpleasant [AND] troubled [IMPLY] inquisitive [PERIOD]
tidy [AND] popular [IMPLY] dishonest [PERIOD]
exuberant [AND] amused [AND] dull [IMPLY] dishonest [PERIOD]
popular [AND] versatile [IMPLY] straightforward [PERIOD]
troubled [IMPLY] popular [PERIOD]
outrageous [AND] dishonest [AND] troubled [IMPLY] inquisitive [PERIOD]
amused [IMPLY] dishonest [PERIOD]
unpleasant [AND] dull [IMPLY] dishonest [PERIOD]
exuberant [AND] dull [AND] popular [IMPLY] unpleasant [PERIOD]
straightforward [AND] amused [IMPLY] versatile [PERIOD]
versatile [AND] tidy [IMPLY] unpleasant [PERIOD]
inquisitive [IMPLY] troubled [PERIOD]
exuberant [IMPLY] amused [PERIOD]
dishonest [IMPLY] straightforward [PERIOD]
dishonest [IMPLY] outrageous [PERIOD]
tidy [AND] exuberant [IMPLY] unpleasant [PERIOD]
amused [AND] straightforward [IMPLY] dull [PERIOD]
inquisitive [IMPLY] outrageous [PERIOD]
straightforward [IMPLY] inquisitive [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   versatile ∧ tidy ⇒ unpleasant
   inquisitive ⇒ troubled
   inquisitive ⇒ outrageous
   inquisitive ∧ troubled ∧ outrageous ⇒ dull
   unpleasant ∧ dull ⇒ dishonest
",1,5
"Facts:  Alice is ugliest [PERIOD] Alice is crowded [PERIOD] Alice is talkative [PERIOD] Alice is fearless [PERIOD]
Rules:
crowded [IMPLY] ugliest [PERIOD]
careless [AND] cute [AND] bossy [IMPLY] perfect [PERIOD]
fearless [AND] beautiful [IMPLY] nervous [PERIOD]
beautiful [IMPLY] fearless [PERIOD]
nervous [IMPLY] broad-minded [PERIOD]
ugliest [AND] mean [AND] bossy [IMPLY] cute [PERIOD]
broad-minded [AND] bossy [AND] crowded [IMPLY] frail [PERIOD]
perfect [AND] cute [IMPLY] beautiful [PERIOD]
cute [IMPLY] fearless [PERIOD]
beautiful [AND] broad-minded [IMPLY] crowded [PERIOD]
mean [AND] confident [AND] broad-minded [IMPLY] ugliest [PERIOD]
crowded [IMPLY] beautiful [PERIOD]
mean [IMPLY] cute [PERIOD]
ugliest [AND] beautiful [AND] perfect [IMPLY] frail [PERIOD]
fearless [AND] bossy [IMPLY] talkative [PERIOD]
fearless [AND] cute [AND] perfect [IMPLY] mean [PERIOD]
beautiful [AND] mean [IMPLY] talkative [PERIOD]
perfect [AND] crowded [IMPLY] bossy [PERIOD]
broad-minded [AND] bossy [AND] beautiful [IMPLY] careless [PERIOD]
crowded [AND] fearless [AND] broad-minded [IMPLY] bossy [PERIOD]
frail [AND] cute [AND] fearless [IMPLY] broad-minded [PERIOD]
crowded [AND] talkative [AND] confident [IMPLY] beautiful [PERIOD]
beautiful [AND] crowded [IMPLY] hypocritical [PERIOD]
fearless [AND] crowded [IMPLY] beautiful [PERIOD]
perfect [IMPLY] ugliest [PERIOD]
hypocritical [AND] crowded [AND] bossy [IMPLY] nervous [PERIOD]
hypocritical [IMPLY] cute [PERIOD]
frail [IMPLY] confident [PERIOD]
careless [AND] hypocritical [IMPLY] crowded [PERIOD]
confident [IMPLY] nervous [PERIOD]
mean [AND] careless [AND] beautiful [IMPLY] cute [PERIOD]
ugliest [AND] crowded [IMPLY] cute [PERIOD]
frail [AND] crowded [AND] bossy [IMPLY] talkative [PERIOD]
nervous [IMPLY] mean [PERIOD]
cute [AND] confident [AND] fearless [IMPLY] ugliest [PERIOD]
broad-minded [AND] talkative [IMPLY] nervous [PERIOD]
mean [IMPLY] talkative [PERIOD]
fearless [AND] hypocritical [AND] cute [IMPLY] frail [PERIOD]
ugliest [AND] nervous [AND] broad-minded [IMPLY] careless [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   crowded ⇒ beautiful
   fearless ∧ beautiful ⇒ nervous
   nervous ⇒ broad-minded
   crowded ∧ fearless ∧ broad-minded ⇒ bossy
",1,4
"Facts:  Alice is shy [PERIOD] Alice is vivacious [PERIOD] Alice is excited [PERIOD] Alice is powerful [PERIOD] Alice is blushing [PERIOD] Alice is gorgeous [PERIOD] Alice is attentive [PERIOD] Alice is clean [PERIOD]
Rules:
attentive [AND] vivacious [IMPLY] shy [PERIOD]
gifted [AND] attentive [IMPLY] embarrassed [PERIOD]
condemned [AND] powerful [AND] careless [IMPLY] comfortable [PERIOD]
cruel [AND] different [AND] vivacious [IMPLY] shy [PERIOD]
popular [AND] witty [AND] grumpy [IMPLY] inexpensive [PERIOD]
gorgeous [AND] embarrassed [AND] outstanding [IMPLY] witty [PERIOD]
excited [AND] comfortable [IMPLY] different [PERIOD]
excited [AND] vivacious [AND] gorgeous [IMPLY] careless [PERIOD]
blushing [IMPLY] powerful [PERIOD]
blushing [IMPLY] embarrassed [PERIOD]
comfortable [AND] vivacious [IMPLY] popular [PERIOD]
shy [AND] condemned [IMPLY] grumpy [PERIOD]
vivacious [AND] agreeable [IMPLY] blushing [PERIOD]
witty [AND] embarrassed [AND] vivacious [IMPLY] clean [PERIOD]
cruel [IMPLY] inexpensive [PERIOD]
witty [AND] comfortable [IMPLY] agreeable [PERIOD]
inexpensive [AND] agreeable [AND] careless [IMPLY] grumpy [PERIOD]
zealous [AND] embarrassed [IMPLY] popular [PERIOD]
comfortable [AND] embarrassed [AND] careless [IMPLY] powerful [PERIOD]
cruel [AND] blushing [AND] gorgeous [IMPLY] condemned [PERIOD]
careless [AND] gifted [IMPLY] agreeable [PERIOD]
blushing [IMPLY] witty [PERIOD]
vivacious [AND] popular [IMPLY] embarrassed [PERIOD]
careless [AND] outstanding [IMPLY] vivacious [PERIOD]
popular [AND] inexpensive [IMPLY] excited [PERIOD]
grumpy [IMPLY] blushing [PERIOD]
outstanding [AND] gifted [AND] popular [IMPLY] grumpy [PERIOD]
gifted [AND] blushing [AND] gorgeous [IMPLY] vivacious [PERIOD]
popular [AND] condemned [AND] vivacious [IMPLY] gorgeous [PERIOD]
agreeable [IMPLY] outstanding [PERIOD]
agreeable [AND] different [AND] witty [IMPLY] comfortable [PERIOD]
gorgeous [AND] gifted [AND] blushing [IMPLY] zealous [PERIOD]
grumpy [AND] careless [IMPLY] popular [PERIOD]
vivacious [IMPLY] shy [PERIOD]
embarrassed [IMPLY] vivacious [PERIOD]
different [AND] zealous [AND] vivacious [IMPLY] gifted [PERIOD]
condemned [AND] witty [AND] grumpy [IMPLY] gifted [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   excited ∧ vivacious ∧ gorgeous ⇒ careless
   Cannot apply rule “condemned ∧ powerful ∧ careless ⇒ comfortable” because missing: condemned.
   blushing ⇒ witty
   Cannot apply rule “agreeable ∧ different ∧ witty ⇒ comfortable” because missing: agreeable, different.
",0,4
"Facts: 
Rules:
tense [IMPLY] amused [PERIOD]
stormy [AND] clean [IMPLY] famous [PERIOD]
clean [AND] sleepy [IMPLY] condemned [PERIOD]
tense [AND] crowded [IMPLY] amused [PERIOD]
amused [AND] sleepy [AND] tense [IMPLY] crowded [PERIOD]
stormy [IMPLY] famous [PERIOD]
clean [IMPLY] sleepy [PERIOD]
lucky [AND] famous [AND] long [IMPLY] amused [PERIOD]
tense [AND] sleepy [IMPLY] famous [PERIOD]
famous [AND] sleepy [IMPLY] condemned [PERIOD]
crowded [IMPLY] clean [PERIOD]
famous [AND] stormy [AND] amused [IMPLY] crowded [PERIOD]
sleepy [AND] clean [AND] famous [IMPLY] stormy [PERIOD]
clean [IMPLY] condemned [PERIOD]
condemned [AND] stormy [AND] tense [IMPLY] long [PERIOD]
crowded [IMPLY] amused [PERIOD]
famous [IMPLY] tense [PERIOD]
famous [IMPLY] amused [PERIOD]
sleepy [IMPLY] condemned [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   Cannot apply rule “stormy ∧ clean ⇒ famous” because missing: stormy, clean.
   Cannot apply rule “stormy ⇒ famous” because missing: stormy.
   Cannot apply rule “tense ∧ sleepy ⇒ famous” because missing: tense, sleepy.
",0,3
"Facts:  Alice is shiny [PERIOD] Alice is tired [PERIOD] Alice is different [PERIOD] Alice is horrible [PERIOD] Alice is victorious [PERIOD] Alice is powerful [PERIOD] Alice is blushing [PERIOD] Alice is cruel [PERIOD] Alice is unpleasant [PERIOD] Alice is impatient [PERIOD] Alice is weary [PERIOD] Alice is rational [PERIOD] Alice is easy [PERIOD] Alice is outstanding [PERIOD] Alice is talkative [PERIOD] Alice is tame [PERIOD] Alice is loving [PERIOD] Alice is strange [PERIOD] Alice is exuberant [PERIOD] Alice is condemned [PERIOD] Alice is long [PERIOD] Alice is careless [PERIOD]
Rules:
difficult [AND] careless [IMPLY] unpleasant [PERIOD]
talented [AND] blushing [IMPLY] impatient [PERIOD]
powerful [AND] talkative [AND] condemned [IMPLY] talented [PERIOD]
victorious [IMPLY] powerful [PERIOD]
condemned [AND] victorious [IMPLY] blushing [PERIOD]
bright [IMPLY] impatient [PERIOD]
bright [IMPLY] horrible [PERIOD]
horrible [AND] careless [IMPLY] different [PERIOD]
easy [IMPLY] shiny [PERIOD]
loving [AND] different [AND] bright [IMPLY] cruel [PERIOD]
outstanding [IMPLY] weary [PERIOD]
horrible [IMPLY] strange [PERIOD]
strange [IMPLY] tired [PERIOD]
easy [IMPLY] long [PERIOD]
exuberant [AND] tame [AND] tired [IMPLY] rational [PERIOD]
Query: Alice is talented [PERIOD]","Proof chain:
   powerful ∧ talkative ∧ condemned ⇒ talented
",1,1
"Facts:  Alice is excited [PERIOD] Alice is rude [PERIOD] Alice is silly [PERIOD] Alice is frail [PERIOD] Alice is messy [PERIOD] Alice is stormy [PERIOD] Alice is elated [PERIOD] Alice is powerful [PERIOD] Alice is old-fashioned [PERIOD] Alice is friendly [PERIOD] Alice is sleepy [PERIOD] Alice is attentive [PERIOD] Alice is smart [PERIOD] Alice is light [PERIOD] Alice is worried [PERIOD] Alice is gleaming [PERIOD] Alice is vivacious [PERIOD] Alice is adorable [PERIOD] Alice is shiny [PERIOD] Alice is different [PERIOD] Alice is witty [PERIOD]
Rules:
shiny [AND] stormy [AND] friendly [IMPLY] silly [PERIOD]
tidy [AND] messy [IMPLY] vivacious [PERIOD]
gleaming [AND] excited [AND] messy [IMPLY] vivacious [PERIOD]
horrible [AND] attentive [AND] stormy [IMPLY] vivacious [PERIOD]
elated [AND] attentive [AND] worried [IMPLY] smart [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   No rule concludes “enchanting.”
",0,1
"Facts:  Alice is talkative [PERIOD]
Rules:
strange [AND] inquisitive [IMPLY] talkative [PERIOD]
strange [AND] average [AND] fancy [IMPLY] careless [PERIOD]
embarrassed [AND] careless [IMPLY] hurt [PERIOD]
strange [IMPLY] fancy [PERIOD]
hurt [AND] amused [IMPLY] inquisitive [PERIOD]
embarrassed [AND] careless [IMPLY] amused [PERIOD]
tender [IMPLY] inquisitive [PERIOD]
dull [IMPLY] talkative [PERIOD]
dull [AND] inquisitive [IMPLY] talkative [PERIOD]
strange [IMPLY] embarrassed [PERIOD]
hilarious [IMPLY] embarrassed [PERIOD]
inquisitive [IMPLY] hurt [PERIOD]
talkative [AND] careless [AND] tender [IMPLY] weary [PERIOD]
dull [AND] hurt [IMPLY] careless [PERIOD]
tender [IMPLY] dull [PERIOD]
hilarious [AND] dull [AND] talkative [IMPLY] average [PERIOD]
hurt [AND] amused [AND] careless [IMPLY] talkative [PERIOD]
average [AND] embarrassed [AND] fancy [IMPLY] strange [PERIOD]
average [AND] hilarious [IMPLY] dull [PERIOD]
talkative [AND] embarrassed [AND] average [IMPLY] fancy [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   Cannot apply rule “strange ⇒ fancy” because missing: strange.
   Cannot apply rule “talkative ∧ embarrassed ∧ average ⇒ fancy” because missing: embarrassed, average.
",0,2
"Facts:  Alice is quaint [PERIOD] Alice is frail [PERIOD] Alice is agreeable [PERIOD]
Rules:
fine [AND] lonely [IMPLY] anxious [PERIOD]
enchanting [AND] broad-minded [IMPLY] jittery [PERIOD]
joyous [AND] cooperative [AND] enchanting [IMPLY] quaint [PERIOD]
cooperative [AND] hurt [AND] witty [IMPLY] quaint [PERIOD]
blushing [AND] broad-minded [IMPLY] pessimistic [PERIOD]
jittery [IMPLY] witty [PERIOD]
fine [IMPLY] hurt [PERIOD]
lonely [AND] worried [AND] weary [IMPLY] pessimistic [PERIOD]
broad-minded [IMPLY] jittery [PERIOD]
fine [AND] lonely [AND] serious [IMPLY] weary [PERIOD]
weary [AND] frail [IMPLY] fearless [PERIOD]
joyous [AND] enchanting [AND] outrageous [IMPLY] loving [PERIOD]
agreeable [AND] outrageous [IMPLY] clean [PERIOD]
pessimistic [AND] loving [IMPLY] anxious [PERIOD]
pessimistic [IMPLY] cooperative [PERIOD]
blushing [AND] jittery [AND] enchanting [IMPLY] serious [PERIOD]
loving [IMPLY] clean [PERIOD]
gifted [AND] cooperative [AND] jittery [IMPLY] frail [PERIOD]
gifted [IMPLY] frail [PERIOD]
agreeable [IMPLY] jittery [PERIOD]
gifted [IMPLY] cooperative [PERIOD]
blushing [IMPLY] weary [PERIOD]
serious [AND] witty [AND] outrageous [IMPLY] jittery [PERIOD]
cooperative [IMPLY] joyous [PERIOD]
quaint [AND] gifted [IMPLY] hurt [PERIOD]
agreeable [IMPLY] gifted [PERIOD]
enchanting [AND] fine [AND] weary [IMPLY] worried [PERIOD]
gifted [IMPLY] clean [PERIOD]
clean [IMPLY] fine [PERIOD]
worrisome [AND] loving [IMPLY] clean [PERIOD]
worried [AND] weary [IMPLY] outrageous [PERIOD]
hurt [AND] fearless [AND] quaint [IMPLY] worried [PERIOD]
lonely [AND] hurt [IMPLY] enchanting [PERIOD]
witty [IMPLY] outrageous [PERIOD]
worried [AND] pessimistic [IMPLY] anxious [PERIOD]
jittery [AND] gifted [IMPLY] loving [PERIOD]
frail [IMPLY] gifted [PERIOD]
outrageous [AND] cooperative [AND] clean [IMPLY] witty [PERIOD]
weary [AND] cooperative [AND] hurt [IMPLY] clean [PERIOD]
hurt [AND] fearless [AND] anxious [IMPLY] jittery [PERIOD]
hurt [AND] quaint [AND] cooperative [IMPLY] worried [PERIOD]
joyous [IMPLY] lonely [PERIOD]
enchanting [AND] weary [AND] hurt [IMPLY] clean [PERIOD]
lonely [IMPLY] pessimistic [PERIOD]
agreeable [IMPLY] quaint [PERIOD]
clean [AND] fine [IMPLY] blushing [PERIOD]
weary [AND] frail [AND] anxious [IMPLY] fine [PERIOD]
fearless [IMPLY] loving [PERIOD]
clean [AND] weary [AND] gifted [IMPLY] pessimistic [PERIOD]
enchanting [IMPLY] cooperative [PERIOD]
worried [AND] gifted [IMPLY] outrageous [PERIOD]
gifted [AND] broad-minded [AND] lonely [IMPLY] cooperative [PERIOD]
serious [AND] blushing [IMPLY] fine [PERIOD]
lonely [IMPLY] worried [PERIOD]
fearless [IMPLY] blushing [PERIOD]
witty [AND] joyous [IMPLY] hurt [PERIOD]
loving [IMPLY] frail [PERIOD]
fine [AND] loving [AND] worrisome [IMPLY] weary [PERIOD]
enchanting [AND] broad-minded [AND] anxious [IMPLY] jittery [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   agreeable ⇒ gifted
   gifted ⇒ clean
   agreeable ⇒ gifted
   gifted ⇒ clean
   clean ⇒ fine
   clean ∧ fine ⇒ blushing
   blushing ⇒ weary
",1,7
"Facts:  Alice is wandering [PERIOD] Alice is proud [PERIOD] Alice is fearless [PERIOD] Alice is comfortable [PERIOD] Alice is talkative [PERIOD] Alice is precious [PERIOD] Alice is diplomatic [PERIOD] Alice is light [PERIOD] Alice is amused [PERIOD]
Rules:
impatient [AND] outstanding [IMPLY] shiny [PERIOD]
precious [AND] anxious [AND] cooperative [IMPLY] ambitious [PERIOD]
different [IMPLY] diplomatic [PERIOD]
cooperative [AND] glamorous [AND] shiny [IMPLY] comfortable [PERIOD]
light [IMPLY] frail [PERIOD]
ugly [AND] amused [IMPLY] elegant [PERIOD]
stubborn [AND] wide-eyed [IMPLY] fearless [PERIOD]
impatient [AND] amused [IMPLY] anxious [PERIOD]
cooperative [IMPLY] outstanding [PERIOD]
excited [IMPLY] proud [PERIOD]
talkative [AND] amused [IMPLY] impatient [PERIOD]
ugly [AND] frail [AND] shiny [IMPLY] excited [PERIOD]
charming [AND] shiny [IMPLY] elegant [PERIOD]
precious [IMPLY] impatient [PERIOD]
fearless [AND] charming [AND] talkative [IMPLY] outstanding [PERIOD]
precious [AND] excited [IMPLY] inquisitive [PERIOD]
ambitious [AND] wandering [IMPLY] comfortable [PERIOD]
ambitious [AND] confused [AND] amused [IMPLY] different [PERIOD]
frail [AND] confused [AND] different [IMPLY] outstanding [PERIOD]
impatient [AND] anxious [AND] talkative [IMPLY] excited [PERIOD]
inquisitive [AND] light [IMPLY] confused [PERIOD]
glamorous [AND] talkative [AND] proud [IMPLY] elegant [PERIOD]
diplomatic [AND] fearless [AND] different [IMPLY] precious [PERIOD]
confused [AND] wide-eyed [AND] ugly [IMPLY] anxious [PERIOD]
anxious [IMPLY] wide-eyed [PERIOD]
confused [AND] fearless [IMPLY] ugly [PERIOD]
wandering [AND] mysterious [IMPLY] confused [PERIOD]
confused [AND] ambitious [AND] outstanding [IMPLY] anxious [PERIOD]
supportive [AND] outstanding [IMPLY] anxious [PERIOD]
light [IMPLY] outstanding [PERIOD]
cooperative [AND] comfortable [IMPLY] diplomatic [PERIOD]
amused [AND] shiny [IMPLY] comfortable [PERIOD]
precious [AND] stubborn [IMPLY] wandering [PERIOD]
glamorous [AND] light [AND] wandering [IMPLY] frail [PERIOD]
ugly [AND] charming [AND] wandering [IMPLY] amused [PERIOD]
outstanding [AND] confused [AND] proud [IMPLY] light [PERIOD]
amused [AND] comfortable [IMPLY] different [PERIOD]
different [AND] wandering [AND] ugly [IMPLY] ambitious [PERIOD]
inquisitive [IMPLY] impatient [PERIOD]
inquisitive [AND] frail [IMPLY] ambitious [PERIOD]
excited [AND] impatient [IMPLY] frail [PERIOD]
proud [AND] elegant [AND] charming [IMPLY] precious [PERIOD]
anxious [IMPLY] ugly [PERIOD]
inquisitive [AND] proud [AND] glamorous [IMPLY] supportive [PERIOD]
light [AND] amused [IMPLY] diplomatic [PERIOD]
fearless [AND] elegant [AND] wandering [IMPLY] comfortable [PERIOD]
shiny [AND] outstanding [AND] impatient [IMPLY] glamorous [PERIOD]
mysterious [IMPLY] light [PERIOD]
light [AND] comfortable [AND] glamorous [IMPLY] shiny [PERIOD]
talkative [AND] stubborn [IMPLY] supportive [PERIOD]
charming [AND] precious [IMPLY] anxious [PERIOD]
excited [AND] different [AND] inquisitive [IMPLY] glamorous [PERIOD]
glamorous [AND] confused [IMPLY] shiny [PERIOD]
elegant [AND] comfortable [AND] glamorous [IMPLY] shiny [PERIOD]
talkative [AND] amused [AND] fearless [IMPLY] supportive [PERIOD]
ambitious [AND] excited [IMPLY] wandering [PERIOD]
mysterious [IMPLY] impatient [PERIOD]
wide-eyed [AND] mysterious [AND] charming [IMPLY] diplomatic [PERIOD]
precious [AND] charming [IMPLY] shiny [PERIOD]
fearless [AND] elegant [AND] light [IMPLY] frail [PERIOD]
wide-eyed [IMPLY] impatient [PERIOD]
anxious [IMPLY] talkative [PERIOD]
Query: Alice is inquisitive [PERIOD]","Proof chain:
   precious ⇒ impatient
   precious ⇒ impatient
   impatient ∧ amused ⇒ anxious
   impatient ∧ anxious ∧ talkative ⇒ excited
   precious ∧ excited ⇒ inquisitive
",1,5
"Facts:  Alice is spotless [PERIOD] Alice is anxious [PERIOD] Alice is hypocritical [PERIOD] Alice is reserved [PERIOD] Alice is straightforward [PERIOD] Alice is frightened [PERIOD] Alice is aggressive [PERIOD] Alice is talkative [PERIOD] Alice is courageous [PERIOD] Alice is popular [PERIOD] Alice is tidy [PERIOD] Alice is strange [PERIOD] Alice is scared [PERIOD] Alice is proud [PERIOD] Alice is tender [PERIOD]
Rules:
average [AND] attractive [IMPLY] clumsy [PERIOD]
clumsy [AND] thoughtless [AND] average [IMPLY] talkative [PERIOD]
aggressive [IMPLY] rational [PERIOD]
wide-eyed [IMPLY] attractive [PERIOD]
anxious [IMPLY] elegant [PERIOD]
courageous [AND] fancy [IMPLY] reserved [PERIOD]
tidy [AND] thoughtless [AND] courageous [IMPLY] strange [PERIOD]
clumsy [IMPLY] popular [PERIOD]
wide-eyed [AND] quaint [IMPLY] anxious [PERIOD]
spotless [AND] attractive [IMPLY] reserved [PERIOD]
strange [IMPLY] shiny [PERIOD]
elegant [AND] rational [AND] reserved [IMPLY] strange [PERIOD]
shiny [IMPLY] hilarious [PERIOD]
nervous [AND] courageous [AND] spotless [IMPLY] scared [PERIOD]
strange [AND] clumsy [IMPLY] straightforward [PERIOD]
thoughtless [IMPLY] frightened [PERIOD]
straightforward [AND] strange [AND] talkative [IMPLY] anxious [PERIOD]
wide-eyed [AND] average [IMPLY] shiny [PERIOD]
elegant [IMPLY] popular [PERIOD]
fancy [AND] scared [AND] tidy [IMPLY] spotless [PERIOD]
hypocritical [AND] hilarious [IMPLY] clumsy [PERIOD]
straightforward [AND] elegant [IMPLY] talkative [PERIOD]
frightened [AND] scared [IMPLY] anxious [PERIOD]
average [AND] spotless [AND] hilarious [IMPLY] fancy [PERIOD]
proud [IMPLY] spotless [PERIOD]
scared [AND] rational [AND] strange [IMPLY] hypocritical [PERIOD]
aggressive [AND] courageous [AND] hypocritical [IMPLY] average [PERIOD]
nervous [IMPLY] talkative [PERIOD]
hypocritical [IMPLY] tender [PERIOD]
wide-eyed [AND] tender [AND] strange [IMPLY] shiny [PERIOD]
hypocritical [AND] aggressive [IMPLY] nervous [PERIOD]
scared [AND] hypocritical [AND] fancy [IMPLY] loving [PERIOD]
average [AND] thoughtless [IMPLY] courageous [PERIOD]
shiny [IMPLY] nervous [PERIOD]
average [AND] reserved [IMPLY] tender [PERIOD]
clumsy [AND] fancy [AND] anxious [IMPLY] elegant [PERIOD]
average [AND] tender [AND] hilarious [IMPLY] quaint [PERIOD]
quaint [AND] nervous [AND] anxious [IMPLY] loving [PERIOD]
wide-eyed [AND] loving [AND] courageous [IMPLY] clumsy [PERIOD]
fancy [AND] aggressive [AND] clumsy [IMPLY] anxious [PERIOD]
proud [AND] fancy [IMPLY] anxious [PERIOD]
tender [IMPLY] loving [PERIOD]
rational [IMPLY] hilarious [PERIOD]
thoughtless [AND] hilarious [IMPLY] tender [PERIOD]
courageous [AND] proud [AND] tender [IMPLY] strange [PERIOD]
popular [AND] tender [AND] scared [IMPLY] hypocritical [PERIOD]
tender [AND] frightened [AND] wide-eyed [IMPLY] straightforward [PERIOD]
wide-eyed [AND] frightened [AND] fancy [IMPLY] proud [PERIOD]
tidy [AND] loving [IMPLY] reserved [PERIOD]
spotless [AND] wide-eyed [AND] popular [IMPLY] aggressive [PERIOD]
rational [AND] frightened [IMPLY] anxious [PERIOD]
thoughtless [IMPLY] scared [PERIOD]
quaint [IMPLY] spotless [PERIOD]
talkative [AND] tender [IMPLY] shiny [PERIOD]
shiny [IMPLY] tidy [PERIOD]
thoughtless [AND] tidy [AND] elegant [IMPLY] rational [PERIOD]
hilarious [IMPLY] tidy [PERIOD]
fancy [AND] clumsy [AND] straightforward [IMPLY] talkative [PERIOD]
aggressive [AND] attractive [IMPLY] fancy [PERIOD]
talkative [AND] average [AND] elegant [IMPLY] strange [PERIOD]
strange [AND] frightened [IMPLY] attractive [PERIOD]
strange [AND] hilarious [IMPLY] nervous [PERIOD]
rational [AND] strange [IMPLY] proud [PERIOD]
aggressive [AND] courageous [AND] frightened [IMPLY] tidy [PERIOD]
fancy [AND] quaint [AND] shiny [IMPLY] clumsy [PERIOD]
strange [AND] nervous [IMPLY] frightened [PERIOD]
rational [AND] aggressive [IMPLY] tender [PERIOD]
anxious [IMPLY] aggressive [PERIOD]
quaint [AND] thoughtless [IMPLY] spotless [PERIOD]
clumsy [IMPLY] quaint [PERIOD]
average [AND] fancy [AND] popular [IMPLY] reserved [PERIOD]
strange [AND] tidy [IMPLY] anxious [PERIOD]
hilarious [AND] courageous [IMPLY] wide-eyed [PERIOD]
tender [IMPLY] straightforward [PERIOD]
popular [AND] quaint [IMPLY] thoughtless [PERIOD]
clumsy [AND] loving [IMPLY] scared [PERIOD]
scared [AND] spotless [AND] fancy [IMPLY] proud [PERIOD]
frightened [IMPLY] rational [PERIOD]
strange [AND] quaint [IMPLY] wide-eyed [PERIOD]
loving [AND] spotless [IMPLY] courageous [PERIOD]
rational [AND] hilarious [IMPLY] tender [PERIOD]
clumsy [AND] frightened [IMPLY] nervous [PERIOD]
average [IMPLY] courageous [PERIOD]
loving [IMPLY] clumsy [PERIOD]
courageous [IMPLY] fancy [PERIOD]
hypocritical [AND] clumsy [AND] proud [IMPLY] tidy [PERIOD]
anxious [IMPLY] fancy [PERIOD]
popular [IMPLY] frightened [PERIOD]
hypocritical [AND] courageous [AND] wide-eyed [IMPLY] tidy [PERIOD]
proud [AND] talkative [IMPLY] frightened [PERIOD]
thoughtless [AND] frightened [IMPLY] loving [PERIOD]
anxious [AND] quaint [IMPLY] fancy [PERIOD]
talkative [AND] thoughtless [IMPLY] tender [PERIOD]
hilarious [AND] courageous [AND] strange [IMPLY] shiny [PERIOD]
wide-eyed [AND] proud [AND] frightened [IMPLY] anxious [PERIOD]
clumsy [IMPLY] attractive [PERIOD]
tidy [AND] attractive [IMPLY] fancy [PERIOD]
hilarious [IMPLY] attractive [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   aggressive ∧ courageous ∧ hypocritical ⇒ average
   strange ∧ frightened ⇒ attractive
   average ∧ attractive ⇒ clumsy
   clumsy ⇒ quaint
   popular ∧ quaint ⇒ thoughtless
",1,5
"Facts:  Alice is distinct [PERIOD]
Rules:
busy [AND] scared [AND] exuberant [IMPLY] inexpensive [PERIOD]
rude [IMPLY] confident [PERIOD]
polite [AND] scared [IMPLY] stubborn [PERIOD]
joyous [AND] stubborn [IMPLY] exuberant [PERIOD]
inexpensive [AND] beautiful [IMPLY] stubborn [PERIOD]
polite [AND] uptight [AND] beautiful [IMPLY] joyous [PERIOD]
bright [IMPLY] exuberant [PERIOD]
disobedient [AND] inexpensive [AND] frightened [IMPLY] beautiful [PERIOD]
exuberant [AND] inexpensive [IMPLY] rude [PERIOD]
inexpensive [AND] busy [IMPLY] beautiful [PERIOD]
distinct [AND] frightened [AND] stubborn [IMPLY] exuberant [PERIOD]
bright [IMPLY] joyous [PERIOD]
busy [AND] confident [IMPLY] scared [PERIOD]
uptight [IMPLY] inexpensive [PERIOD]
confident [AND] bright [IMPLY] inexpensive [PERIOD]
busy [AND] disobedient [AND] stubborn [IMPLY] bright [PERIOD]
stubborn [AND] confident [AND] bright [IMPLY] disobedient [PERIOD]
beautiful [AND] uptight [AND] frightened [IMPLY] confident [PERIOD]
rude [IMPLY] exuberant [PERIOD]
frightened [AND] busy [AND] inexpensive [IMPLY] distinct [PERIOD]
exuberant [IMPLY] stubborn [PERIOD]
exuberant [IMPLY] distinct [PERIOD]
rude [IMPLY] scared [PERIOD]
distinct [AND] straightforward [IMPLY] scared [PERIOD]
disobedient [AND] uptight [IMPLY] rude [PERIOD]
confident [IMPLY] uptight [PERIOD]
stubborn [IMPLY] scared [PERIOD]
inexpensive [IMPLY] exuberant [PERIOD]
stubborn [IMPLY] uptight [PERIOD]
frightened [IMPLY] exuberant [PERIOD]
straightforward [AND] rude [AND] disobedient [IMPLY] uptight [PERIOD]
uptight [AND] scared [AND] joyous [IMPLY] stubborn [PERIOD]
straightforward [AND] scared [IMPLY] confident [PERIOD]
uptight [AND] distinct [AND] straightforward [IMPLY] inexpensive [PERIOD]
bright [AND] confident [AND] beautiful [IMPLY] stubborn [PERIOD]
beautiful [AND] joyous [AND] polite [IMPLY] rude [PERIOD]
inexpensive [IMPLY] bright [PERIOD]
rude [AND] busy [AND] scared [IMPLY] distinct [PERIOD]
beautiful [AND] straightforward [IMPLY] busy [PERIOD]
scared [AND] distinct [IMPLY] rude [PERIOD]
exuberant [IMPLY] straightforward [PERIOD]
disobedient [IMPLY] exuberant [PERIOD]
rude [AND] straightforward [IMPLY] exuberant [PERIOD]
confident [AND] inexpensive [IMPLY] busy [PERIOD]
distinct [AND] scared [AND] joyous [IMPLY] stubborn [PERIOD]
beautiful [AND] rude [IMPLY] exuberant [PERIOD]
busy [IMPLY] confident [PERIOD]
confident [AND] scared [AND] stubborn [IMPLY] polite [PERIOD]
exuberant [AND] straightforward [IMPLY] uptight [PERIOD]
polite [AND] bright [IMPLY] exuberant [PERIOD]
stubborn [AND] joyous [IMPLY] uptight [PERIOD]
polite [AND] beautiful [IMPLY] stubborn [PERIOD]
scared [AND] polite [IMPLY] uptight [PERIOD]
exuberant [IMPLY] inexpensive [PERIOD]
beautiful [IMPLY] disobedient [PERIOD]
frightened [AND] polite [AND] exuberant [IMPLY] disobedient [PERIOD]
distinct [AND] uptight [AND] stubborn [IMPLY] scared [PERIOD]
distinct [AND] inexpensive [IMPLY] stubborn [PERIOD]
scared [AND] polite [IMPLY] disobedient [PERIOD]
rude [AND] confident [AND] bright [IMPLY] stubborn [PERIOD]
inexpensive [IMPLY] distinct [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
   Cannot apply rule “busy ∧ confident ⇒ scared” because missing: busy, confident.
   Cannot apply rule “rude ⇒ scared” because missing: rude.
   Cannot apply rule “distinct ∧ straightforward ⇒ scared” because missing: straightforward.
   Cannot apply rule “stubborn ⇒ scared” because missing: stubborn.
   Cannot apply rule “distinct ∧ uptight ∧ stubborn ⇒ scared” because missing: uptight, stubborn.
",0,5
"Facts:  Alice is courageous [PERIOD]
Rules:
thoughtless [AND] shiny [AND] pessimistic [IMPLY] gifted [PERIOD]
pessimistic [AND] fragile [IMPLY] hypocritical [PERIOD]
proud [AND] hypocritical [IMPLY] courageous [PERIOD]
proud [AND] rude [AND] agreeable [IMPLY] loving [PERIOD]
fine [AND] loving [IMPLY] selfish [PERIOD]
shiny [AND] agreeable [AND] enchanting [IMPLY] selfish [PERIOD]
wandering [IMPLY] shiny [PERIOD]
proud [AND] lonely [IMPLY] comfortable [PERIOD]
fine [AND] rude [AND] combative [IMPLY] lonely [PERIOD]
agreeable [IMPLY] combative [PERIOD]
enchanting [AND] courageous [IMPLY] lonely [PERIOD]
powerful [IMPLY] thoughtless [PERIOD]
comfortable [AND] courageous [AND] loving [IMPLY] hypocritical [PERIOD]
selfish [IMPLY] shiny [PERIOD]
gifted [IMPLY] rude [PERIOD]
proud [IMPLY] powerful [PERIOD]
agreeable [AND] courageous [AND] fragile [IMPLY] comfortable [PERIOD]
lonely [AND] proud [IMPLY] fine [PERIOD]
comfortable [IMPLY] combative [PERIOD]
selfish [IMPLY] hypocritical [PERIOD]
enchanting [AND] comfortable [IMPLY] rude [PERIOD]
fragile [IMPLY] selfish [PERIOD]
hypocritical [IMPLY] pessimistic [PERIOD]
fragile [AND] courageous [AND] wandering [IMPLY] lonely [PERIOD]
pessimistic [AND] courageous [AND] gifted [IMPLY] proud [PERIOD]
pessimistic [AND] thoughtless [IMPLY] courageous [PERIOD]
gifted [AND] agreeable [AND] thoughtless [IMPLY] lonely [PERIOD]
selfish [AND] lonely [AND] proud [IMPLY] loving [PERIOD]
thoughtless [IMPLY] fine [PERIOD]
loving [AND] fragile [AND] powerful [IMPLY] courageous [PERIOD]
loving [IMPLY] proud [PERIOD]
pessimistic [IMPLY] lonely [PERIOD]
selfish [AND] courageous [AND] lonely [IMPLY] fine [PERIOD]
selfish [IMPLY] pessimistic [PERIOD]
fine [IMPLY] courageous [PERIOD]
lonely [IMPLY] comfortable [PERIOD]
shiny [AND] selfish [AND] proud [IMPLY] hypocritical [PERIOD]
comfortable [AND] agreeable [AND] rude [IMPLY] hypocritical [PERIOD]
fine [AND] pessimistic [IMPLY] hypocritical [PERIOD]
shiny [AND] combative [AND] loving [IMPLY] selfish [PERIOD]
selfish [IMPLY] lonely [PERIOD]
fragile [AND] selfish [IMPLY] comfortable [PERIOD]
enchanting [IMPLY] courageous [PERIOD]
thoughtless [IMPLY] gifted [PERIOD]
pessimistic [AND] selfish [AND] wandering [IMPLY] thoughtless [PERIOD]
selfish [IMPLY] fragile [PERIOD]
thoughtless [AND] pessimistic [IMPLY] hypocritical [PERIOD]
selfish [IMPLY] gifted [PERIOD]
powerful [AND] thoughtless [IMPLY] shiny [PERIOD]
thoughtless [IMPLY] fragile [PERIOD]
gifted [AND] proud [AND] loving [IMPLY] lonely [PERIOD]
thoughtless [AND] courageous [AND] proud [IMPLY] combative [PERIOD]
loving [AND] pessimistic [IMPLY] rude [PERIOD]
agreeable [AND] loving [AND] powerful [IMPLY] rude [PERIOD]
fine [AND] enchanting [AND] thoughtless [IMPLY] selfish [PERIOD]
gifted [AND] rude [IMPLY] pessimistic [PERIOD]
wandering [AND] fragile [IMPLY] comfortable [PERIOD]
lonely [AND] courageous [AND] thoughtless [IMPLY] agreeable [PERIOD]
fine [AND] shiny [AND] proud [IMPLY] enchanting [PERIOD]
agreeable [AND] proud [IMPLY] lonely [PERIOD]
fine [AND] agreeable [AND] shiny [IMPLY] selfish [PERIOD]
thoughtless [AND] comfortable [IMPLY] fragile [PERIOD]
comfortable [AND] selfish [AND] loving [IMPLY] lonely [PERIOD]
comfortable [IMPLY] shiny [PERIOD]
combative [AND] pessimistic [IMPLY] loving [PERIOD]
wandering [IMPLY] proud [PERIOD]
fragile [AND] gifted [AND] proud [IMPLY] thoughtless [PERIOD]
comfortable [AND] powerful [IMPLY] rude [PERIOD]
agreeable [AND] thoughtless [AND] proud [IMPLY] rude [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
   Cannot apply rule “gifted ⇒ rude” because missing: gifted.
   Cannot apply rule “enchanting ∧ comfortable ⇒ rude” because missing: enchanting, comfortable.
   Cannot apply rule “loving ∧ pessimistic ⇒ rude” because missing: loving, pessimistic.
   Cannot apply rule “agreeable ∧ loving ∧ powerful ⇒ rude” because missing: agreeable, loving, powerful.
   Cannot apply rule “comfortable ∧ powerful ⇒ rude” because missing: comfortable, powerful.
   Cannot apply rule “agreeable ∧ thoughtless ∧ proud ⇒ rude” because missing: agreeable, thoughtless, proud.
",0,6
"Facts: 
Rules:
tender [AND] diplomatic [AND] elated [IMPLY] foolish [PERIOD]
elated [AND] diplomatic [IMPLY] tender [PERIOD]
anxious [AND] diplomatic [AND] tender [IMPLY] foolish [PERIOD]
victorious [AND] anxious [IMPLY] elated [PERIOD]
victorious [AND] foolish [IMPLY] anxious [PERIOD]
foolish [AND] anxious [IMPLY] victorious [PERIOD]
diplomatic [IMPLY] anxious [PERIOD]
victorious [IMPLY] diplomatic [PERIOD]
foolish [AND] anxious [AND] tender [IMPLY] diplomatic [PERIOD]
foolish [AND] anxious [AND] elated [IMPLY] tender [PERIOD]
Query: Alice is diplomatic [PERIOD]","Proof chain:
   Cannot apply rule “victorious ⇒ diplomatic” because missing: victorious.
   Cannot apply rule “foolish ∧ anxious ∧ tender ⇒ diplomatic” because missing: foolish, anxious, tender.
",0,2
"Facts: 
Rules:
proud [IMPLY] quaint [PERIOD]
quaint [AND] gorgeous [AND] proud [IMPLY] stormy [PERIOD]
stormy [IMPLY] proud [PERIOD]
proud [IMPLY] stormy [PERIOD]
quaint [AND] proud [AND] stormy [IMPLY] gorgeous [PERIOD]
proud [AND] quaint [AND] gorgeous [IMPLY] unpleasant [PERIOD]
stormy [AND] quaint [AND] unpleasant [IMPLY] gorgeous [PERIOD]
proud [IMPLY] gorgeous [PERIOD]
quaint [AND] gorgeous [IMPLY] proud [PERIOD]
gorgeous [AND] stormy [AND] unpleasant [IMPLY] proud [PERIOD]
quaint [IMPLY] gorgeous [PERIOD]
gorgeous [AND] proud [IMPLY] unpleasant [PERIOD]
stormy [AND] proud [IMPLY] gorgeous [PERIOD]
stormy [AND] proud [AND] unpleasant [IMPLY] quaint [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   Cannot apply rule “proud ⇒ quaint” because missing: proud.
   Cannot apply rule “stormy ∧ proud ∧ unpleasant ⇒ quaint” because missing: stormy, proud, unpleasant.
",0,2
"Facts:  Alice is spotless [PERIOD] Alice is selfish [PERIOD]
Rules:
spotless [IMPLY] joyous [PERIOD]
broad-minded [AND] spotless [IMPLY] loving [PERIOD]
selfish [IMPLY] spotless [PERIOD]
enchanting [IMPLY] broad-minded [PERIOD]
joyous [AND] selfish [AND] famous [IMPLY] plain [PERIOD]
famous [AND] joyous [IMPLY] bright [PERIOD]
plain [AND] diplomatic [AND] enchanting [IMPLY] spotless [PERIOD]
enchanting [IMPLY] adorable [PERIOD]
adorable [AND] bright [AND] calm [IMPLY] enchanting [PERIOD]
plain [AND] bright [AND] spotless [IMPLY] joyous [PERIOD]
bright [AND] famous [IMPLY] thoughtless [PERIOD]
enchanting [IMPLY] spotless [PERIOD]
joyous [AND] broad-minded [IMPLY] plain [PERIOD]
diplomatic [AND] broad-minded [IMPLY] adorable [PERIOD]
bright [AND] enchanting [IMPLY] spotless [PERIOD]
plain [AND] joyous [IMPLY] diplomatic [PERIOD]
spotless [IMPLY] thoughtless [PERIOD]
bright [IMPLY] joyous [PERIOD]
adorable [AND] bright [AND] thoughtless [IMPLY] calm [PERIOD]
selfish [AND] loving [IMPLY] famous [PERIOD]
joyous [IMPLY] thoughtless [PERIOD]
selfish [AND] plain [IMPLY] diplomatic [PERIOD]
adorable [AND] enchanting [IMPLY] bright [PERIOD]
loving [IMPLY] broad-minded [PERIOD]
enchanting [AND] joyous [IMPLY] diplomatic [PERIOD]
spotless [AND] loving [IMPLY] bright [PERIOD]
bright [AND] loving [IMPLY] thoughtless [PERIOD]
plain [AND] selfish [AND] loving [IMPLY] spotless [PERIOD]
famous [AND] spotless [AND] adorable [IMPLY] thoughtless [PERIOD]
enchanting [IMPLY] diplomatic [PERIOD]
spotless [AND] calm [AND] thoughtless [IMPLY] adorable [PERIOD]
famous [AND] diplomatic [AND] joyous [IMPLY] plain [PERIOD]
famous [AND] bright [IMPLY] joyous [PERIOD]
joyous [IMPLY] bright [PERIOD]
enchanting [AND] diplomatic [AND] joyous [IMPLY] calm [PERIOD]
broad-minded [AND] enchanting [AND] calm [IMPLY] thoughtless [PERIOD]
adorable [AND] enchanting [AND] plain [IMPLY] broad-minded [PERIOD]
loving [IMPLY] diplomatic [PERIOD]
broad-minded [AND] joyous [IMPLY] bright [PERIOD]
adorable [IMPLY] calm [PERIOD]
famous [AND] adorable [IMPLY] spotless [PERIOD]
diplomatic [AND] adorable [IMPLY] spotless [PERIOD]
diplomatic [AND] adorable [IMPLY] broad-minded [PERIOD]
plain [AND] diplomatic [AND] famous [IMPLY] spotless [PERIOD]
adorable [IMPLY] selfish [PERIOD]
famous [AND] selfish [IMPLY] loving [PERIOD]
Query: Alice is diplomatic [PERIOD]","Proof chain:
   spotless ⇒ joyous
   Cannot apply rule “plain ∧ joyous ⇒ diplomatic” because missing: plain.
   Cannot apply rule “selfish ∧ plain ⇒ diplomatic” because missing: plain.
   spotless ⇒ joyous
   Cannot apply rule “enchanting ∧ joyous ⇒ diplomatic” because missing: enchanting.
   Cannot apply rule “enchanting ⇒ diplomatic” because missing: enchanting.
   Cannot apply rule “loving ⇒ diplomatic” because missing: loving.
",0,7
"Facts:  Alice is thoughtful [PERIOD] Alice is powerful [PERIOD] Alice is reserved [PERIOD] Alice is lucky [PERIOD] Alice is confused [PERIOD] Alice is famous [PERIOD]
Rules:
easy [AND] ambitious [IMPLY] agreeable [PERIOD]
disobedient [AND] gifted [AND] confused [IMPLY] easy [PERIOD]
victorious [AND] agreeable [AND] helpful [IMPLY] disobedient [PERIOD]
famous [IMPLY] gifted [PERIOD]
helpless [IMPLY] bossy [PERIOD]
agreeable [AND] condemned [IMPLY] wide-eyed [PERIOD]
bored [IMPLY] powerful [PERIOD]
agreeable [IMPLY] bored [PERIOD]
confused [AND] average [IMPLY] easy [PERIOD]
wide-eyed [IMPLY] condemned [PERIOD]
helpless [IMPLY] powerful [PERIOD]
confused [AND] lucky [AND] tender [IMPLY] worried [PERIOD]
victorious [AND] tender [AND] worried [IMPLY] average [PERIOD]
helpless [IMPLY] clean [PERIOD]
clean [IMPLY] cruel [PERIOD]
worried [AND] frail [IMPLY] helpful [PERIOD]
confused [AND] thoughtful [AND] gifted [IMPLY] easy [PERIOD]
worried [IMPLY] easy [PERIOD]
disobedient [IMPLY] worried [PERIOD]
disobedient [AND] bossy [AND] famous [IMPLY] average [PERIOD]
disobedient [AND] wide-eyed [IMPLY] famous [PERIOD]
famous [IMPLY] troubled [PERIOD]
condemned [AND] reserved [AND] troubled [IMPLY] frail [PERIOD]
lucky [AND] worried [IMPLY] helpless [PERIOD]
helpless [IMPLY] helpful [PERIOD]
confused [IMPLY] victorious [PERIOD]
cruel [IMPLY] clean [PERIOD]
ambitious [IMPLY] victorious [PERIOD]
powerful [IMPLY] average [PERIOD]
disobedient [AND] bossy [AND] powerful [IMPLY] bored [PERIOD]
bored [AND] confused [AND] bossy [IMPLY] worried [PERIOD]
victorious [IMPLY] bored [PERIOD]
powerful [AND] bossy [AND] helpless [IMPLY] tender [PERIOD]
helpful [IMPLY] easy [PERIOD]
frail [IMPLY] lucky [PERIOD]
easy [AND] reserved [IMPLY] average [PERIOD]
gifted [AND] lucky [AND] helpless [IMPLY] reserved [PERIOD]
clean [AND] victorious [IMPLY] reserved [PERIOD]
bossy [AND] thoughtful [AND] lucky [IMPLY] helpless [PERIOD]
frail [AND] powerful [AND] worried [IMPLY] cruel [PERIOD]
thoughtful [IMPLY] famous [PERIOD]
frail [AND] lucky [IMPLY] confused [PERIOD]
frail [IMPLY] average [PERIOD]
cruel [AND] worried [AND] disobedient [IMPLY] wide-eyed [PERIOD]
helpless [AND] frail [AND] ambitious [IMPLY] disobedient [PERIOD]
powerful [IMPLY] agreeable [PERIOD]
reserved [AND] famous [IMPLY] gifted [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
   Cannot apply rule “confused ∧ lucky ∧ tender ⇒ worried” because missing: tender.
   Cannot apply rule “disobedient ⇒ worried” because missing: disobedient.
   powerful ⇒ agreeable
   agreeable ⇒ bored
   Cannot apply rule “bored ∧ confused ∧ bossy ⇒ worried” because missing: bossy.
",0,5
"Facts:  Alice is popular [PERIOD] Alice is curious [PERIOD] Alice is amused [PERIOD] Alice is light [PERIOD] Alice is stubborn [PERIOD]
Rules:
light [IMPLY] hurt [PERIOD]
popular [IMPLY] calm [PERIOD]
friendly [AND] selfish [IMPLY] precious [PERIOD]
cooperative [IMPLY] inquisitive [PERIOD]
curious [AND] cooperative [IMPLY] popular [PERIOD]
worried [AND] friendly [IMPLY] hurt [PERIOD]
friendly [AND] worried [IMPLY] uptight [PERIOD]
popular [AND] worried [IMPLY] light [PERIOD]
selfish [AND] inquisitive [AND] amused [IMPLY] hurt [PERIOD]
cooperative [IMPLY] uptight [PERIOD]
selfish [IMPLY] uptight [PERIOD]
amused [AND] selfish [AND] precious [IMPLY] calm [PERIOD]
inquisitive [AND] worried [IMPLY] uptight [PERIOD]
popular [IMPLY] selfish [PERIOD]
hurt [AND] selfish [AND] calm [IMPLY] uptight [PERIOD]
selfish [AND] amused [IMPLY] light [PERIOD]
cooperative [IMPLY] tame [PERIOD]
uptight [IMPLY] worried [PERIOD]
calm [AND] popular [AND] inquisitive [IMPLY] precious [PERIOD]
tame [AND] uptight [IMPLY] friendly [PERIOD]
hurt [AND] light [IMPLY] uptight [PERIOD]
tame [IMPLY] cooperative [PERIOD]
selfish [AND] calm [IMPLY] worried [PERIOD]
inquisitive [AND] amused [AND] friendly [IMPLY] light [PERIOD]
uptight [IMPLY] amused [PERIOD]
friendly [IMPLY] curious [PERIOD]
stubborn [IMPLY] hurt [PERIOD]
cooperative [AND] precious [IMPLY] worried [PERIOD]
uptight [AND] tame [AND] cooperative [IMPLY] popular [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   light ⇒ hurt
   hurt ∧ light ⇒ uptight
   Cannot apply rule “tame ∧ uptight ⇒ friendly” because missing: tame.
",0,3
"Facts: 
Rules:
hypocritical [AND] mean [AND] alert [IMPLY] tired [PERIOD]
unpleasant [AND] rude [IMPLY] bored [PERIOD]
shiny [IMPLY] mean [PERIOD]
alert [AND] hypocritical [IMPLY] shiny [PERIOD]
joyous [AND] unpleasant [IMPLY] alert [PERIOD]
foolish [IMPLY] mean [PERIOD]
mean [AND] bored [AND] loving [IMPLY] joyous [PERIOD]
mean [AND] shiny [IMPLY] tired [PERIOD]
unpleasant [AND] mean [IMPLY] rude [PERIOD]
tired [IMPLY] mean [PERIOD]
mean [AND] foolish [IMPLY] shiny [PERIOD]
bored [AND] tired [AND] joyous [IMPLY] unpleasant [PERIOD]
joyous [IMPLY] rude [PERIOD]
shiny [AND] hypocritical [AND] loving [IMPLY] alert [PERIOD]
rude [IMPLY] hypocritical [PERIOD]
bored [IMPLY] alert [PERIOD]
mean [AND] loving [AND] alert [IMPLY] joyous [PERIOD]
shiny [IMPLY] foolish [PERIOD]
loving [AND] rude [IMPLY] unpleasant [PERIOD]
joyous [AND] mean [IMPLY] loving [PERIOD]
foolish [AND] joyous [AND] loving [IMPLY] alert [PERIOD]
shiny [IMPLY] alert [PERIOD]
tired [AND] joyous [AND] bored [IMPLY] foolish [PERIOD]
bored [IMPLY] loving [PERIOD]
loving [AND] foolish [IMPLY] rude [PERIOD]
loving [AND] hypocritical [IMPLY] alert [PERIOD]
foolish [IMPLY] loving [PERIOD]
alert [IMPLY] tired [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
   Cannot apply rule “unpleasant ∧ mean ⇒ rude” because missing: unpleasant, mean.
   Cannot apply rule “joyous ⇒ rude” because missing: joyous.
   Cannot apply rule “loving ∧ foolish ⇒ rude” because missing: loving, foolish.
",0,3
"Facts:  Alice is proud [PERIOD] Alice is gleaming [PERIOD] Alice is average [PERIOD] Alice is scared [PERIOD] Alice is curious [PERIOD] Alice is victorious [PERIOD]
Rules:
proud [AND] victorious [AND] curious [IMPLY] impartial [PERIOD]
inexpensive [IMPLY] scared [PERIOD]
victorious [AND] courageous [IMPLY] dishonest [PERIOD]
loving [IMPLY] shy [PERIOD]
courageous [AND] talented [IMPLY] clean [PERIOD]
spotless [AND] curious [IMPLY] inexpensive [PERIOD]
spotless [AND] scared [AND] bad-tempered [IMPLY] loving [PERIOD]
dishonest [IMPLY] spotless [PERIOD]
enchanting [AND] scared [IMPLY] talented [PERIOD]
adorable [IMPLY] victorious [PERIOD]
attractive [AND] loving [AND] spotless [IMPLY] tidy [PERIOD]
attractive [AND] impartial [AND] adorable [IMPLY] proud [PERIOD]
talented [AND] victorious [IMPLY] proud [PERIOD]
smart [IMPLY] disgusted [PERIOD]
glamorous [IMPLY] bad-tempered [PERIOD]
anxious [AND] smart [AND] enchanting [IMPLY] glamorous [PERIOD]
bad-tempered [AND] shy [AND] attractive [IMPLY] disgusted [PERIOD]
smart [AND] adorable [IMPLY] clean [PERIOD]
bad-tempered [AND] courageous [AND] spotless [IMPLY] impartial [PERIOD]
courageous [AND] enchanting [IMPLY] inexpensive [PERIOD]
victorious [AND] bad-tempered [IMPLY] average [PERIOD]
impartial [AND] dishonest [AND] enchanting [IMPLY] proud [PERIOD]
anxious [AND] adorable [AND] glamorous [IMPLY] average [PERIOD]
glamorous [IMPLY] adorable [PERIOD]
curious [AND] spotless [IMPLY] shy [PERIOD]
shy [AND] loving [AND] scared [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] impartial [IMPLY] anxious [PERIOD]
clean [AND] anxious [AND] glamorous [IMPLY] dishonest [PERIOD]
adorable [AND] smart [AND] proud [IMPLY] inexpensive [PERIOD]
disgusted [IMPLY] talented [PERIOD]
gleaming [AND] scared [IMPLY] adorable [PERIOD]
victorious [AND] inexpensive [IMPLY] scared [PERIOD]
enchanting [IMPLY] tidy [PERIOD]
talented [IMPLY] spotless [PERIOD]
adorable [AND] curious [AND] smart [IMPLY] inexpensive [PERIOD]
impartial [AND] inexpensive [AND] talented [IMPLY] loving [PERIOD]
shy [AND] smart [IMPLY] curious [PERIOD]
victorious [AND] enchanting [AND] scared [IMPLY] courageous [PERIOD]
impartial [AND] adorable [AND] gleaming [IMPLY] average [PERIOD]
enchanting [AND] clean [AND] victorious [IMPLY] smart [PERIOD]
proud [AND] victorious [AND] average [IMPLY] clean [PERIOD]
enchanting [IMPLY] curious [PERIOD]
gleaming [AND] attractive [IMPLY] courageous [PERIOD]
curious [AND] clean [AND] loving [IMPLY] spotless [PERIOD]
average [AND] talented [AND] proud [IMPLY] courageous [PERIOD]
dishonest [IMPLY] inexpensive [PERIOD]
dishonest [AND] anxious [AND] smart [IMPLY] shy [PERIOD]
impartial [IMPLY] anxious [PERIOD]
loving [IMPLY] spotless [PERIOD]
dishonest [IMPLY] anxious [PERIOD]
inexpensive [IMPLY] anxious [PERIOD]
bad-tempered [AND] impartial [AND] spotless [IMPLY] victorious [PERIOD]
smart [IMPLY] adorable [PERIOD]
talented [AND] adorable [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] enchanting [AND] average [IMPLY] shy [PERIOD]
Query: Alice is glamorous [PERIOD]","Proof chain:
   proud ∧ victorious ∧ curious ⇒ impartial
   impartial ⇒ anxious
   Cannot apply rule “anxious ∧ smart ∧ enchanting ⇒ glamorous” because missing: smart, enchanting.
",0,3
"Facts:  Alice is helpless [PERIOD] Alice is calm [PERIOD] Alice is frail [PERIOD] Alice is exuberant [PERIOD] Alice is selfish [PERIOD]
Rules:
powerful [IMPLY] calm [PERIOD]
distinct [AND] messy [AND] calm [IMPLY] shy [PERIOD]
calm [AND] mean [IMPLY] messy [PERIOD]
powerful [AND] cooperative [IMPLY] polite [PERIOD]
combative [IMPLY] frail [PERIOD]
distinct [IMPLY] elated [PERIOD]
combative [IMPLY] tidy [PERIOD]
polite [AND] tense [IMPLY] old-fashioned [PERIOD]
powerful [AND] shy [IMPLY] polite [PERIOD]
old-fashioned [IMPLY] outstanding [PERIOD]
outstanding [IMPLY] helpless [PERIOD]
mean [AND] tidy [AND] messy [IMPLY] outstanding [PERIOD]
exuberant [AND] calm [IMPLY] combative [PERIOD]
frail [AND] mean [AND] calm [IMPLY] polite [PERIOD]
talented [IMPLY] talkative [PERIOD]
anxious [IMPLY] elegant [PERIOD]
tidy [AND] anxious [AND] old-fashioned [IMPLY] outstanding [PERIOD]
calm [IMPLY] cooperative [PERIOD]
powerful [IMPLY] helpless [PERIOD]
powerful [IMPLY] elegant [PERIOD]
shy [AND] talented [AND] exuberant [IMPLY] tired [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   Cannot apply rule “old-fashioned ⇒ outstanding” because missing: old-fashioned.
   exuberant ∧ calm ⇒ combative
   combative ⇒ tidy
   Cannot apply rule “mean ∧ tidy ∧ messy ⇒ outstanding” because missing: mean, messy.
   exuberant ∧ calm ⇒ combative
   combative ⇒ tidy
   Cannot apply rule “tidy ∧ anxious ∧ old-fashioned ⇒ outstanding” because missing: anxious, old-fashioned.
",0,7
"Facts:  Alice is average [PERIOD] Alice is gorgeous [PERIOD] Alice is elegant [PERIOD] Alice is plain [PERIOD] Alice is frightened [PERIOD] Alice is nervous [PERIOD] Alice is uptight [PERIOD] Alice is light [PERIOD] Alice is weary [PERIOD] Alice is shiny [PERIOD]
Rules:
frightened [AND] lucky [AND] dishonest [IMPLY] strange [PERIOD]
tidy [AND] average [AND] weary [IMPLY] helpless [PERIOD]
reserved [AND] bright [AND] selfish [IMPLY] shiny [PERIOD]
impatient [AND] average [IMPLY] gleaming [PERIOD]
weary [AND] impatient [IMPLY] light [PERIOD]
straightforward [AND] thoughtful [AND] plain [IMPLY] strange [PERIOD]
uptight [AND] plain [IMPLY] tidy [PERIOD]
gorgeous [AND] lucky [IMPLY] gleaming [PERIOD]
bright [IMPLY] light [PERIOD]
strange [IMPLY] weary [PERIOD]
shiny [IMPLY] straightforward [PERIOD]
gorgeous [AND] shiny [IMPLY] average [PERIOD]
light [AND] uptight [AND] plain [IMPLY] bright [PERIOD]
gleaming [IMPLY] lonely [PERIOD]
gleaming [AND] impatient [AND] light [IMPLY] reserved [PERIOD]
lonely [IMPLY] gorgeous [PERIOD]
average [IMPLY] nervous [PERIOD]
shiny [AND] lucky [IMPLY] average [PERIOD]
helpless [AND] nervous [IMPLY] elegant [PERIOD]
selfish [IMPLY] strange [PERIOD]
average [AND] weary [IMPLY] uptight [PERIOD]
average [IMPLY] dishonest [PERIOD]
selfish [AND] tidy [IMPLY] light [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   average ⇒ dishonest
   Cannot apply rule “frightened ∧ lucky ∧ dishonest ⇒ strange” because missing: lucky.
   shiny ⇒ straightforward
   Cannot apply rule “straightforward ∧ thoughtful ∧ plain ⇒ strange” because missing: thoughtful.
   Cannot apply rule “selfish ⇒ strange” because missing: selfish.
",0,5
"Facts: 
Rules:
troubled [AND] condemned [IMPLY] victorious [PERIOD]
old-fashioned [IMPLY] loving [PERIOD]
intellectual [AND] easy [AND] thoughtful [IMPLY] reserved [PERIOD]
cooperative [AND] messy [AND] disobedient [IMPLY] stormy [PERIOD]
troubled [IMPLY] modern [PERIOD]
rude [IMPLY] intellectual [PERIOD]
disobedient [AND] bored [AND] wide-eyed [IMPLY] calm [PERIOD]
sincere [AND] stormy [IMPLY] thoughtful [PERIOD]
calm [IMPLY] intellectual [PERIOD]
intellectual [AND] loving [IMPLY] reserved [PERIOD]
charming [AND] modern [AND] troubled [IMPLY] broad-minded [PERIOD]
embarrassed [AND] charming [AND] loving [IMPLY] outrageous [PERIOD]
wide-eyed [AND] calm [IMPLY] hilarious [PERIOD]
victorious [AND] reserved [AND] easy [IMPLY] cooperative [PERIOD]
rude [AND] wide-eyed [AND] easy [IMPLY] troubled [PERIOD]
shiny [IMPLY] talkative [PERIOD]
condemned [IMPLY] hilarious [PERIOD]
rude [IMPLY] thoughtful [PERIOD]
modern [AND] talkative [AND] rude [IMPLY] shiny [PERIOD]
calm [AND] easy [IMPLY] hilarious [PERIOD]
outrageous [AND] calm [IMPLY] embarrassed [PERIOD]
wide-eyed [IMPLY] shiny [PERIOD]
shiny [IMPLY] outrageous [PERIOD]
troubled [AND] rude [AND] loving [IMPLY] disgusted [PERIOD]
wide-eyed [IMPLY] embarrassed [PERIOD]
rude [AND] loving [AND] charming [IMPLY] disgusted [PERIOD]
stormy [AND] wide-eyed [AND] reserved [IMPLY] hilarious [PERIOD]
messy [AND] wide-eyed [IMPLY] troubled [PERIOD]
messy [IMPLY] disgusted [PERIOD]
messy [AND] condemned [IMPLY] broad-minded [PERIOD]
bored [AND] easy [AND] victorious [IMPLY] disgusted [PERIOD]
disgusted [IMPLY] loving [PERIOD]
troubled [IMPLY] old-fashioned [PERIOD]
cooperative [AND] intellectual [IMPLY] old-fashioned [PERIOD]
disobedient [AND] sincere [IMPLY] shiny [PERIOD]
cooperative [AND] intellectual [IMPLY] broad-minded [PERIOD]
disgusted [AND] messy [AND] reserved [IMPLY] intellectual [PERIOD]
easy [IMPLY] troubled [PERIOD]
calm [AND] sincere [IMPLY] condemned [PERIOD]
reserved [AND] thoughtful [AND] bored [IMPLY] victorious [PERIOD]
intellectual [AND] disobedient [AND] loving [IMPLY] easy [PERIOD]
cooperative [AND] shiny [IMPLY] disgusted [PERIOD]
victorious [AND] old-fashioned [IMPLY] loving [PERIOD]
messy [AND] modern [AND] thoughtful [IMPLY] shiny [PERIOD]
outrageous [IMPLY] messy [PERIOD]
wide-eyed [AND] outrageous [AND] condemned [IMPLY] modern [PERIOD]
cooperative [AND] charming [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] charming [PERIOD]
stormy [IMPLY] thoughtful [PERIOD]
thoughtful [AND] embarrassed [IMPLY] talkative [PERIOD]
stormy [IMPLY] disgusted [PERIOD]
outrageous [AND] calm [IMPLY] charming [PERIOD]
shiny [IMPLY] stormy [PERIOD]
disgusted [IMPLY] stormy [PERIOD]
embarrassed [AND] wide-eyed [IMPLY] thoughtful [PERIOD]
hilarious [AND] outrageous [IMPLY] cooperative [PERIOD]
hilarious [IMPLY] easy [PERIOD]
shiny [AND] old-fashioned [AND] condemned [IMPLY] messy [PERIOD]
outrageous [AND] reserved [AND] calm [IMPLY] sincere [PERIOD]
easy [AND] outrageous [AND] loving [IMPLY] sincere [PERIOD]
talkative [IMPLY] unpleasant [PERIOD]
modern [IMPLY] wide-eyed [PERIOD]
condemned [AND] messy [AND] calm [IMPLY] talkative [PERIOD]
impartial [AND] rude [AND] loving [IMPLY] condemned [PERIOD]
old-fashioned [AND] modern [IMPLY] bored [PERIOD]
intellectual [AND] modern [AND] sincere [IMPLY] condemned [PERIOD]
troubled [IMPLY] outrageous [PERIOD]
hilarious [IMPLY] cooperative [PERIOD]
rude [AND] modern [IMPLY] stormy [PERIOD]
messy [AND] embarrassed [AND] troubled [IMPLY] easy [PERIOD]
outrageous [IMPLY] unpleasant [PERIOD]
outrageous [AND] sincere [IMPLY] unpleasant [PERIOD]
old-fashioned [AND] easy [AND] troubled [IMPLY] calm [PERIOD]
embarrassed [AND] modern [IMPLY] messy [PERIOD]
troubled [AND] quaint [AND] embarrassed [IMPLY] hilarious [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   Cannot apply rule “charming ∧ modern ∧ troubled ⇒ broad-minded” because missing: charming, modern, troubled.
   Cannot apply rule “messy ∧ condemned ⇒ broad-minded” because missing: messy, condemned.
   Cannot apply rule “cooperative ∧ intellectual ⇒ broad-minded” because missing: cooperative, intellectual.
",0,3
"Facts: 
Rules:
beautiful [AND] versatile [IMPLY] wrong [PERIOD]
fine [IMPLY] fearless [PERIOD]
charming [AND] hypocritical [IMPLY] beautiful [PERIOD]
ugliest [IMPLY] clumsy [PERIOD]
hypocritical [AND] impatient [AND] messy [IMPLY] rude [PERIOD]
ugliest [IMPLY] rude [PERIOD]
wrong [AND] fine [AND] messy [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] shiny [PERIOD]
clumsy [AND] ugliest [IMPLY] messy [PERIOD]
fine [AND] fearless [IMPLY] versatile [PERIOD]
ugliest [AND] fine [AND] outstanding [IMPLY] impatient [PERIOD]
clumsy [IMPLY] beautiful [PERIOD]
messy [IMPLY] ugliest [PERIOD]
shiny [IMPLY] wrong [PERIOD]
outstanding [AND] fearless [IMPLY] rude [PERIOD]
stubborn [AND] beautiful [IMPLY] fearless [PERIOD]
shiny [AND] charming [AND] clumsy [IMPLY] ugliest [PERIOD]
outstanding [IMPLY] fine [PERIOD]
impatient [IMPLY] shiny [PERIOD]
fearless [AND] messy [IMPLY] hypocritical [PERIOD]
wrong [AND] impatient [IMPLY] inquisitive [PERIOD]
rude [AND] fine [AND] charming [IMPLY] versatile [PERIOD]
stubborn [AND] ugliest [AND] fearless [IMPLY] wrong [PERIOD]
messy [AND] clumsy [AND] wrong [IMPLY] outstanding [PERIOD]
fine [AND] fearless [AND] wrong [IMPLY] clumsy [PERIOD]
beautiful [IMPLY] versatile [PERIOD]
rude [AND] inquisitive [AND] stubborn [IMPLY] shiny [PERIOD]
fine [AND] fearless [IMPLY] impatient [PERIOD]
shiny [AND] beautiful [AND] fine [IMPLY] versatile [PERIOD]
beautiful [AND] versatile [IMPLY] outstanding [PERIOD]
clumsy [AND] versatile [IMPLY] ugliest [PERIOD]
inquisitive [AND] messy [AND] versatile [IMPLY] hypocritical [PERIOD]
rude [AND] hypocritical [IMPLY] shiny [PERIOD]
charming [IMPLY] fearless [PERIOD]
hypocritical [AND] beautiful [AND] stubborn [IMPLY] outstanding [PERIOD]
fearless [IMPLY] rude [PERIOD]
ugliest [IMPLY] messy [PERIOD]
charming [AND] versatile [IMPLY] rude [PERIOD]
fine [IMPLY] wrong [PERIOD]
ugliest [AND] rude [AND] shiny [IMPLY] stubborn [PERIOD]
inquisitive [IMPLY] clumsy [PERIOD]
stubborn [IMPLY] inquisitive [PERIOD]
fearless [IMPLY] charming [PERIOD]
shiny [AND] fine [AND] charming [IMPLY] messy [PERIOD]
fearless [AND] hypocritical [AND] wrong [IMPLY] ugliest [PERIOD]
clumsy [AND] charming [AND] outstanding [IMPLY] ugliest [PERIOD]
messy [AND] fearless [AND] rude [IMPLY] shiny [PERIOD]
clumsy [IMPLY] stubborn [PERIOD]
stubborn [AND] hypocritical [IMPLY] messy [PERIOD]
rude [AND] stubborn [IMPLY] impatient [PERIOD]
charming [IMPLY] messy [PERIOD]
fearless [AND] versatile [AND] messy [IMPLY] impatient [PERIOD]
outstanding [AND] charming [AND] clumsy [IMPLY] rude [PERIOD]
hypocritical [IMPLY] messy [PERIOD]
stubborn [AND] charming [IMPLY] versatile [PERIOD]
clumsy [AND] hypocritical [AND] stubborn [IMPLY] outstanding [PERIOD]
ugliest [IMPLY] fearless [PERIOD]
clumsy [IMPLY] shiny [PERIOD]
hypocritical [IMPLY] outstanding [PERIOD]
outstanding [AND] hypocritical [IMPLY] stubborn [PERIOD]
rude [IMPLY] stubborn [PERIOD]
ugliest [AND] hypocritical [AND] rude [IMPLY] versatile [PERIOD]
Query: Alice is versatile [PERIOD]","Proof chain:
   Cannot apply rule “fine ∧ fearless ⇒ versatile” because missing: fine, fearless.
   Cannot apply rule “rude ∧ fine ∧ charming ⇒ versatile” because missing: rude, fine, charming.
   Cannot apply rule “beautiful ⇒ versatile” because missing: beautiful.
   Cannot apply rule “shiny ∧ beautiful ∧ fine ⇒ versatile” because missing: shiny, beautiful, fine.
   Cannot apply rule “stubborn ∧ charming ⇒ versatile” because missing: stubborn, charming.
   Cannot apply rule “ugliest ∧ hypocritical ∧ rude ⇒ versatile” because missing: ugliest, hypocritical, rude.
",0,6
"Facts: 
Rules:
attentive [AND] hypocritical [IMPLY] mean [PERIOD]
confident [AND] hypocritical [IMPLY] attentive [PERIOD]
attentive [IMPLY] confident [PERIOD]
confident [IMPLY] stupid [PERIOD]
confident [IMPLY] attentive [PERIOD]
hypocritical [AND] mean [IMPLY] stupid [PERIOD]
mean [IMPLY] attentive [PERIOD]
blushing [IMPLY] confident [PERIOD]
mean [AND] blushing [IMPLY] confident [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   Cannot apply rule “confident ∧ hypocritical ⇒ attentive” because missing: confident, hypocritical.
   Cannot apply rule “confident ⇒ attentive” because missing: confident.
   Cannot apply rule “mean ⇒ attentive” because missing: mean.
",0,3
"Facts:  Alice is innocent [PERIOD] Alice is quaint [PERIOD] Alice is charming [PERIOD] Alice is naughty [PERIOD] Alice is grumpy [PERIOD]
Rules:
charming [AND] hypocritical [AND] naughty [IMPLY] innocent [PERIOD]
tidy [IMPLY] outstanding [PERIOD]
grumpy [AND] uptight [IMPLY] distinct [PERIOD]
clean [AND] distinct [AND] grumpy [IMPLY] anxious [PERIOD]
Query: Alice is rude [PERIOD]","Proof chain:
   No rule concludes “rude.”
",0,1
"Facts:  Alice is confused [PERIOD] Alice is precious [PERIOD] Alice is rational [PERIOD] Alice is cute [PERIOD] Alice is frail [PERIOD] Alice is inquisitive [PERIOD] Alice is good [PERIOD] Alice is tidy [PERIOD] Alice is agreeable [PERIOD] Alice is helpless [PERIOD] Alice is clean [PERIOD] Alice is intellectual [PERIOD]
Rules:
wandering [IMPLY] messy [PERIOD]
precious [AND] intellectual [IMPLY] stubborn [PERIOD]
clean [IMPLY] famous [PERIOD]
intellectual [AND] rational [AND] confident [IMPLY] agreeable [PERIOD]
dull [IMPLY] frail [PERIOD]
cute [AND] tidy [AND] wandering [IMPLY] crowded [PERIOD]
broad-minded [IMPLY] wandering [PERIOD]
confused [IMPLY] wandering [PERIOD]
hurt [AND] intellectual [IMPLY] famous [PERIOD]
fine [AND] confident [AND] courageous [IMPLY] confused [PERIOD]
confused [AND] plain [IMPLY] broad-minded [PERIOD]
plain [AND] stupid [IMPLY] cute [PERIOD]
clean [AND] wandering [AND] sleepy [IMPLY] tidy [PERIOD]
confused [AND] clean [AND] rational [IMPLY] tidy [PERIOD]
stupid [AND] stubborn [AND] amused [IMPLY] tidy [PERIOD]
broad-minded [IMPLY] helpless [PERIOD]
clean [AND] messy [AND] amused [IMPLY] wandering [PERIOD]
sleepy [AND] cute [IMPLY] stupid [PERIOD]
stubborn [AND] fine [AND] confident [IMPLY] messy [PERIOD]
stubborn [AND] wandering [AND] precious [IMPLY] amused [PERIOD]
broad-minded [AND] cute [AND] amused [IMPLY] confused [PERIOD]
frail [AND] cute [IMPLY] tidy [PERIOD]
dull [IMPLY] confident [PERIOD]
fine [IMPLY] good [PERIOD]
cute [IMPLY] frail [PERIOD]
dull [AND] broad-minded [AND] helpless [IMPLY] agreeable [PERIOD]
sleepy [IMPLY] intellectual [PERIOD]
intellectual [AND] amused [IMPLY] confused [PERIOD]
stupid [AND] amused [IMPLY] helpless [PERIOD]
rational [AND] frail [AND] messy [IMPLY] dull [PERIOD]
plain [AND] good [AND] courageous [IMPLY] wandering [PERIOD]
fine [AND] broad-minded [AND] dull [IMPLY] famous [PERIOD]
intellectual [IMPLY] confident [PERIOD]
stubborn [IMPLY] frail [PERIOD]
inquisitive [AND] hurt [IMPLY] rational [PERIOD]
wandering [IMPLY] broad-minded [PERIOD]
amused [AND] dull [IMPLY] crowded [PERIOD]
amused [AND] inquisitive [AND] sleepy [IMPLY] broad-minded [PERIOD]
inquisitive [AND] agreeable [AND] clean [IMPLY] tidy [PERIOD]
crowded [AND] hurt [IMPLY] rational [PERIOD]
clean [AND] fine [IMPLY] plain [PERIOD]
hurt [AND] courageous [IMPLY] plain [PERIOD]
inquisitive [AND] famous [AND] dull [IMPLY] tidy [PERIOD]
confused [AND] crowded [IMPLY] stupid [PERIOD]
dull [IMPLY] inquisitive [PERIOD]
tidy [AND] helpless [AND] amused [IMPLY] fine [PERIOD]
rational [AND] stubborn [IMPLY] courageous [PERIOD]
inquisitive [IMPLY] agreeable [PERIOD]
confident [IMPLY] dull [PERIOD]
tidy [AND] agreeable [IMPLY] clean [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   precious ∧ intellectual ⇒ stubborn
   confused ⇒ wandering
   stubborn ∧ wandering ∧ precious ⇒ amused
",1,3
"Facts:  Alice is joyous [PERIOD] Alice is stupid [PERIOD] Alice is quaint [PERIOD] Alice is pleasant [PERIOD] Alice is supportive [PERIOD]
Rules:
fearless [AND] strange [AND] joyous [IMPLY] stupid [PERIOD]
joyous [IMPLY] supportive [PERIOD]
hypocritical [IMPLY] joyous [PERIOD]
supportive [AND] quaint [AND] strange [IMPLY] hypocritical [PERIOD]
stupid [IMPLY] hypocritical [PERIOD]
stupid [AND] fearless [AND] strange [IMPLY] quaint [PERIOD]
strange [AND] stupid [AND] pleasant [IMPLY] supportive [PERIOD]
strange [IMPLY] joyous [PERIOD]
pleasant [AND] supportive [AND] quaint [IMPLY] hypocritical [PERIOD]
pleasant [IMPLY] joyous [PERIOD]
strange [IMPLY] supportive [PERIOD]
supportive [AND] strange [IMPLY] hypocritical [PERIOD]
strange [AND] hypocritical [AND] pleasant [IMPLY] quaint [PERIOD]
quaint [AND] stupid [AND] hypocritical [IMPLY] fearless [PERIOD]
joyous [AND] strange [AND] hypocritical [IMPLY] pleasant [PERIOD]
hypocritical [AND] joyous [IMPLY] strange [PERIOD]
stupid [AND] hypocritical [IMPLY] strange [PERIOD]
stupid [IMPLY] supportive [PERIOD]
fearless [IMPLY] pleasant [PERIOD]
pleasant [AND] hypocritical [IMPLY] quaint [PERIOD]
joyous [AND] supportive [IMPLY] strange [PERIOD]
fearless [AND] joyous [IMPLY] stupid [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
   joyous ∧ supportive ⇒ strange
",1,1
"Facts:  Alice is stupid [PERIOD] Alice is serious [PERIOD]
Rules:
hypocritical [AND] fragile [IMPLY] beautiful [PERIOD]
hypocritical [AND] beautiful [AND] wandering [IMPLY] tense [PERIOD]
stupid [IMPLY] exuberant [PERIOD]
shy [IMPLY] fragile [PERIOD]
talented [AND] hypocritical [AND] vivacious [IMPLY] victorious [PERIOD]
attractive [AND] beautiful [IMPLY] serious [PERIOD]
stupid [AND] condemned [IMPLY] beautiful [PERIOD]
outrageous [AND] stupid [IMPLY] old-fashioned [PERIOD]
attentive [IMPLY] vivacious [PERIOD]
serious [AND] charming [AND] beautiful [IMPLY] tense [PERIOD]
hurt [AND] shy [IMPLY] dishonest [PERIOD]
hypocritical [AND] enchanting [AND] dishonest [IMPLY] beautiful [PERIOD]
talented [IMPLY] attractive [PERIOD]
enchanting [IMPLY] charming [PERIOD]
enchanting [AND] talented [AND] attractive [IMPLY] serious [PERIOD]
Query: Alice is tense [PERIOD]","Proof chain:
   Cannot apply rule “hypocritical ∧ beautiful ∧ wandering ⇒ tense” because missing: hypocritical, beautiful, wandering.
   Cannot apply rule “serious ∧ charming ∧ beautiful ⇒ tense” because missing: charming, beautiful.
",0,2
"Facts: 
Rules:
cooperative [IMPLY] tender [PERIOD]
witty [AND] disobedient [AND] lucky [IMPLY] helpless [PERIOD]
stormy [AND] lucky [AND] inexpensive [IMPLY] joyous [PERIOD]
inexpensive [AND] lucky [IMPLY] tender [PERIOD]
stormy [AND] modern [AND] strange [IMPLY] helpless [PERIOD]
modern [AND] joyous [AND] inexpensive [IMPLY] witty [PERIOD]
joyous [AND] excited [AND] stupid [IMPLY] strange [PERIOD]
cooperative [AND] bossy [AND] joyous [IMPLY] disobedient [PERIOD]
stormy [AND] lucky [AND] witty [IMPLY] modern [PERIOD]
modern [IMPLY] exuberant [PERIOD]
bossy [AND] disobedient [IMPLY] joyous [PERIOD]
cooperative [IMPLY] inexpensive [PERIOD]
stormy [AND] lucky [IMPLY] exuberant [PERIOD]
lucky [AND] unpleasant [AND] inexpensive [IMPLY] excited [PERIOD]
bossy [AND] unpleasant [AND] stupid [IMPLY] modern [PERIOD]
modern [AND] disgusted [IMPLY] excited [PERIOD]
tender [AND] witty [IMPLY] modern [PERIOD]
stupid [AND] exuberant [AND] witty [IMPLY] excited [PERIOD]
excited [IMPLY] lucky [PERIOD]
unpleasant [AND] disgusted [AND] inexpensive [IMPLY] witty [PERIOD]
strange [IMPLY] disgusted [PERIOD]
cooperative [AND] disgusted [AND] unpleasant [IMPLY] exuberant [PERIOD]
disgusted [AND] inexpensive [AND] stupid [IMPLY] excited [PERIOD]
helpless [AND] strange [IMPLY] inexpensive [PERIOD]
Query: Alice is modern [PERIOD]","Proof chain:
   Cannot apply rule “stormy ∧ lucky ∧ witty ⇒ modern” because missing: stormy, lucky, witty.
   Cannot apply rule “bossy ∧ unpleasant ∧ stupid ⇒ modern” because missing: bossy, unpleasant, stupid.
   Cannot apply rule “tender ∧ witty ⇒ modern” because missing: tender, witty.
",0,3
"Facts:  Alice is fine [PERIOD] Alice is cruel [PERIOD] Alice is clean [PERIOD] Alice is spotless [PERIOD] Alice is friendly [PERIOD] Alice is helpful [PERIOD]
Rules:
popular [AND] shy [IMPLY] friendly [PERIOD]
fragile [AND] fine [IMPLY] clean [PERIOD]
shy [AND] easy [IMPLY] cruel [PERIOD]
fine [AND] smart [IMPLY] shy [PERIOD]
helpful [AND] smart [IMPLY] shy [PERIOD]
smart [AND] cruel [IMPLY] fine [PERIOD]
clean [IMPLY] helpful [PERIOD]
clean [AND] helpful [AND] popular [IMPLY] easy [PERIOD]
shy [AND] tame [IMPLY] fragile [PERIOD]
easy [AND] popular [IMPLY] fragile [PERIOD]
shy [IMPLY] cruel [PERIOD]
clean [AND] fine [IMPLY] friendly [PERIOD]
spotless [AND] fine [AND] helpful [IMPLY] friendly [PERIOD]
friendly [AND] fragile [AND] spotless [IMPLY] tame [PERIOD]
clean [AND] tame [IMPLY] smart [PERIOD]
tame [AND] helpful [AND] shy [IMPLY] smart [PERIOD]
easy [IMPLY] clean [PERIOD]
fragile [AND] spotless [AND] cruel [IMPLY] easy [PERIOD]
smart [AND] clean [IMPLY] cruel [PERIOD]
helpful [IMPLY] popular [PERIOD]
fine [IMPLY] smart [PERIOD]
clean [AND] popular [AND] easy [IMPLY] cruel [PERIOD]
popular [AND] cruel [AND] fine [IMPLY] clean [PERIOD]
fragile [IMPLY] popular [PERIOD]
smart [AND] tame [AND] friendly [IMPLY] cruel [PERIOD]
easy [AND] clean [IMPLY] friendly [PERIOD]
shy [AND] easy [IMPLY] tame [PERIOD]
popular [IMPLY] easy [PERIOD]
spotless [AND] cruel [AND] shy [IMPLY] clean [PERIOD]
shy [IMPLY] friendly [PERIOD]
cruel [AND] helpful [IMPLY] clean [PERIOD]
clean [IMPLY] shy [PERIOD]
fine [AND] spotless [AND] tame [IMPLY] cruel [PERIOD]
friendly [IMPLY] smart [PERIOD]
helpful [IMPLY] shy [PERIOD]
friendly [AND] helpful [IMPLY] shy [PERIOD]
helpful [AND] popular [IMPLY] friendly [PERIOD]
fragile [IMPLY] smart [PERIOD]
shy [AND] fragile [IMPLY] smart [PERIOD]
cruel [IMPLY] helpful [PERIOD]
tame [AND] spotless [AND] fine [IMPLY] smart [PERIOD]
Query: Alice is fragile [PERIOD]","Proof chain:
   helpful ⇒ popular
   clean ∧ helpful ∧ popular ⇒ easy
   helpful ⇒ popular
   easy ∧ popular ⇒ fragile
",1,4
"Facts:  Alice is perfect [PERIOD] Alice is ugly [PERIOD] Alice is frail [PERIOD] Alice is grumpy [PERIOD] Alice is vivacious [PERIOD] Alice is proud [PERIOD] Alice is bright [PERIOD] Alice is lucky [PERIOD] Alice is witty [PERIOD] Alice is long [PERIOD] Alice is lonely [PERIOD]
Rules:
witty [AND] ugly [IMPLY] lonely [PERIOD]
witty [AND] curious [IMPLY] proud [PERIOD]
long [AND] lucky [IMPLY] lonely [PERIOD]
witty [IMPLY] grumpy [PERIOD]
curious [AND] grumpy [IMPLY] long [PERIOD]
frail [AND] perfect [IMPLY] long [PERIOD]
ugly [AND] proud [IMPLY] lonely [PERIOD]
vivacious [AND] perfect [AND] witty [IMPLY] bright [PERIOD]
long [IMPLY] bright [PERIOD]
witty [AND] vivacious [AND] bright [IMPLY] perfect [PERIOD]
ugly [IMPLY] lucky [PERIOD]
proud [AND] grumpy [IMPLY] witty [PERIOD]
bright [AND] lonely [AND] witty [IMPLY] frail [PERIOD]
long [AND] lucky [IMPLY] perfect [PERIOD]
curious [AND] perfect [AND] witty [IMPLY] long [PERIOD]
grumpy [AND] ugly [AND] long [IMPLY] lonely [PERIOD]
proud [AND] grumpy [AND] perfect [IMPLY] witty [PERIOD]
lonely [AND] witty [AND] vivacious [IMPLY] ugly [PERIOD]
lonely [IMPLY] long [PERIOD]
lonely [IMPLY] lucky [PERIOD]
ugly [IMPLY] proud [PERIOD]
long [AND] bright [AND] proud [IMPLY] vivacious [PERIOD]
witty [AND] bright [AND] grumpy [IMPLY] frail [PERIOD]
perfect [AND] frail [IMPLY] witty [PERIOD]
grumpy [IMPLY] perfect [PERIOD]
long [AND] perfect [IMPLY] frail [PERIOD]
curious [IMPLY] witty [PERIOD]
lonely [AND] grumpy [IMPLY] bright [PERIOD]
witty [IMPLY] ugly [PERIOD]
perfect [AND] witty [AND] bright [IMPLY] curious [PERIOD]
ugly [AND] lonely [IMPLY] curious [PERIOD]
vivacious [AND] long [IMPLY] curious [PERIOD]
lonely [IMPLY] vivacious [PERIOD]
bright [AND] perfect [IMPLY] vivacious [PERIOD]
lonely [AND] lucky [IMPLY] vivacious [PERIOD]
ugly [AND] lucky [AND] frail [IMPLY] witty [PERIOD]
curious [AND] frail [IMPLY] ugly [PERIOD]
Query: Alice is perfect [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is outstanding [PERIOD] Alice is tame [PERIOD] Alice is nervous [PERIOD] Alice is inquisitive [PERIOD] Alice is naughty [PERIOD]
Rules:
beautiful [AND] zealous [IMPLY] tidy [PERIOD]
inquisitive [IMPLY] beautiful [PERIOD]
tame [AND] outstanding [AND] inquisitive [IMPLY] naughty [PERIOD]
beautiful [IMPLY] inquisitive [PERIOD]
tame [AND] naughty [AND] beautiful [IMPLY] attractive [PERIOD]
nervous [AND] beautiful [IMPLY] zealous [PERIOD]
nervous [AND] zealous [IMPLY] attractive [PERIOD]
outstanding [IMPLY] naughty [PERIOD]
attractive [AND] stupid [IMPLY] zealous [PERIOD]
attractive [AND] tame [AND] beautiful [IMPLY] naughty [PERIOD]
nervous [AND] zealous [IMPLY] inquisitive [PERIOD]
nervous [AND] attractive [AND] outstanding [IMPLY] tame [PERIOD]
inquisitive [IMPLY] outstanding [PERIOD]
zealous [IMPLY] stupid [PERIOD]
beautiful [IMPLY] stupid [PERIOD]
outstanding [AND] tidy [IMPLY] tame [PERIOD]
stupid [IMPLY] nervous [PERIOD]
outstanding [AND] inquisitive [AND] attractive [IMPLY] beautiful [PERIOD]
tidy [AND] attractive [AND] beautiful [IMPLY] inquisitive [PERIOD]
tame [IMPLY] beautiful [PERIOD]
outstanding [AND] nervous [AND] tidy [IMPLY] inquisitive [PERIOD]
stupid [AND] inquisitive [AND] zealous [IMPLY] tame [PERIOD]
attractive [AND] naughty [IMPLY] tidy [PERIOD]
nervous [AND] outstanding [IMPLY] attractive [PERIOD]
stupid [AND] attractive [AND] zealous [IMPLY] naughty [PERIOD]
nervous [AND] outstanding [AND] beautiful [IMPLY] zealous [PERIOD]
outstanding [AND] stupid [IMPLY] attractive [PERIOD]
attractive [IMPLY] tame [PERIOD]
attractive [AND] zealous [AND] tidy [IMPLY] beautiful [PERIOD]
outstanding [IMPLY] stupid [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   outstanding ⇒ stupid
",1,1
"Facts:  Alice is gorgeous [PERIOD] Alice is supportive [PERIOD] Alice is smart [PERIOD] Alice is ugliest [PERIOD] Alice is frail [PERIOD] Alice is modern [PERIOD] Alice is helpless [PERIOD] Alice is stormy [PERIOD]
Rules:
diplomatic [IMPLY] straightforward [PERIOD]
ugliest [AND] modern [AND] jittery [IMPLY] gorgeous [PERIOD]
weary [AND] versatile [AND] rational [IMPLY] anxious [PERIOD]
rational [IMPLY] comfortable [PERIOD]
versatile [AND] straightforward [AND] weary [IMPLY] proud [PERIOD]
ugliest [AND] frail [IMPLY] diplomatic [PERIOD]
gorgeous [AND] selfish [IMPLY] gleaming [PERIOD]
bad-tempered [IMPLY] fearless [PERIOD]
gifted [AND] ugliest [IMPLY] versatile [PERIOD]
ugliest [AND] selfish [IMPLY] fearless [PERIOD]
rational [AND] long [IMPLY] frail [PERIOD]
smart [AND] versatile [IMPLY] rational [PERIOD]
gorgeous [AND] frail [IMPLY] shy [PERIOD]
fancy [AND] ugliest [IMPLY] modern [PERIOD]
bad-tempered [AND] thoughtless [IMPLY] comfortable [PERIOD]
tender [AND] straightforward [AND] gifted [IMPLY] talkative [PERIOD]
stormy [AND] straightforward [IMPLY] jittery [PERIOD]
stormy [IMPLY] smart [PERIOD]
diplomatic [IMPLY] bad-tempered [PERIOD]
anxious [IMPLY] frail [PERIOD]
frail [AND] stormy [AND] ugliest [IMPLY] gifted [PERIOD]
supportive [AND] long [IMPLY] gorgeous [PERIOD]
tender [AND] diplomatic [AND] helpless [IMPLY] gifted [PERIOD]
anxious [AND] tender [IMPLY] shy [PERIOD]
bad-tempered [AND] smart [AND] anxious [IMPLY] tender [PERIOD]
gleaming [IMPLY] stormy [PERIOD]
stormy [AND] shy [IMPLY] long [PERIOD]
supportive [AND] weary [AND] versatile [IMPLY] smart [PERIOD]
enchanting [AND] smart [AND] rational [IMPLY] bad-tempered [PERIOD]
gifted [IMPLY] weary [PERIOD]
tender [AND] talkative [IMPLY] stormy [PERIOD]
fearless [AND] straightforward [AND] bad-tempered [IMPLY] diplomatic [PERIOD]
weary [AND] anxious [IMPLY] ugliest [PERIOD]
gorgeous [AND] comfortable [IMPLY] proud [PERIOD]
ugliest [AND] proud [IMPLY] straightforward [PERIOD]
gorgeous [AND] modern [IMPLY] rational [PERIOD]
frail [IMPLY] enchanting [PERIOD]
Query: Alice is selfish [PERIOD]","Proof chain:
   No rule concludes “selfish.”
",0,1
"Facts: 
Rules:
tame [AND] grumpy [IMPLY] worried [PERIOD]
tired [IMPLY] impartial [PERIOD]
worried [AND] tame [AND] foolish [IMPLY] spotless [PERIOD]
bright [AND] spotless [IMPLY] versatile [PERIOD]
victorious [AND] frightened [AND] bright [IMPLY] spotless [PERIOD]
grumpy [AND] supportive [IMPLY] versatile [PERIOD]
polite [IMPLY] frightened [PERIOD]
foolish [IMPLY] frightened [PERIOD]
victorious [AND] calm [IMPLY] impartial [PERIOD]
tame [AND] scared [IMPLY] grumpy [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   Cannot apply rule “worried ∧ tame ∧ foolish ⇒ spotless” because missing: worried, tame, foolish.
   Cannot apply rule “victorious ∧ frightened ∧ bright ⇒ spotless” because missing: victorious, frightened, bright.
",0,2
"Facts: 
Rules:
adorable [AND] tired [IMPLY] anxious [PERIOD]
hurt [AND] tired [AND] thoughtful [IMPLY] unpleasant [PERIOD]
friendly [AND] anxious [IMPLY] unpleasant [PERIOD]
anxious [AND] hilarious [AND] modern [IMPLY] hurt [PERIOD]
anxious [AND] modern [AND] tired [IMPLY] unpleasant [PERIOD]
hurt [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] adorable [PERIOD]
different [AND] talented [AND] unpleasant [IMPLY] thoughtful [PERIOD]
tired [AND] anxious [IMPLY] hurt [PERIOD]
adorable [AND] unpleasant [IMPLY] hurt [PERIOD]
modern [AND] tired [AND] adorable [IMPLY] different [PERIOD]
adorable [AND] thoughtful [IMPLY] different [PERIOD]
adorable [AND] tired [IMPLY] talented [PERIOD]
adorable [IMPLY] anxious [PERIOD]
anxious [AND] friendly [AND] thoughtful [IMPLY] hurt [PERIOD]
hilarious [AND] modern [AND] hurt [IMPLY] thoughtful [PERIOD]
unpleasant [IMPLY] hurt [PERIOD]
different [AND] tired [IMPLY] anxious [PERIOD]
hurt [AND] thoughtful [IMPLY] hilarious [PERIOD]
hurt [AND] unpleasant [IMPLY] anxious [PERIOD]
tired [AND] talented [AND] different [IMPLY] friendly [PERIOD]
different [AND] friendly [AND] thoughtful [IMPLY] hurt [PERIOD]
unpleasant [AND] hurt [IMPLY] friendly [PERIOD]
different [AND] talented [AND] hilarious [IMPLY] modern [PERIOD]
unpleasant [AND] hurt [IMPLY] hilarious [PERIOD]
friendly [IMPLY] tired [PERIOD]
thoughtful [AND] hilarious [IMPLY] modern [PERIOD]
friendly [AND] hurt [IMPLY] tired [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   Cannot apply rule “modern ∧ tired ∧ adorable ⇒ different” because missing: modern, tired, adorable.
   Cannot apply rule “adorable ∧ thoughtful ⇒ different” because missing: adorable, thoughtful.
",0,2
"Facts: 
Rules:
friendly [AND] intellectual [AND] unpleasant [IMPLY] sensible [PERIOD]
embarrassed [AND] sensible [IMPLY] dull [PERIOD]
scared [AND] dishonest [IMPLY] outstanding [PERIOD]
smart [AND] intellectual [AND] quaint [IMPLY] famous [PERIOD]
friendly [AND] reserved [IMPLY] dishonest [PERIOD]
friendly [AND] famous [IMPLY] unpleasant [PERIOD]
old-fashioned [AND] dull [AND] curious [IMPLY] friendly [PERIOD]
zealous [AND] ugly [AND] proud [IMPLY] helpful [PERIOD]
scared [AND] famous [AND] thoughtful [IMPLY] reserved [PERIOD]
reserved [AND] sensible [AND] aggressive [IMPLY] dishonest [PERIOD]
zealous [AND] smart [IMPLY] agreeable [PERIOD]
sincere [AND] ugly [IMPLY] old-fashioned [PERIOD]
agreeable [AND] aggressive [AND] friendly [IMPLY] old-fashioned [PERIOD]
scared [AND] sensible [IMPLY] friendly [PERIOD]
famous [AND] scared [IMPLY] embarrassed [PERIOD]
unpleasant [AND] exuberant [AND] curious [IMPLY] dishonest [PERIOD]
friendly [AND] famous [IMPLY] curious [PERIOD]
intellectual [AND] agreeable [AND] outstanding [IMPLY] sincere [PERIOD]
helpful [AND] exuberant [AND] dishonest [IMPLY] smart [PERIOD]
sincere [IMPLY] reserved [PERIOD]
dishonest [IMPLY] old-fashioned [PERIOD]
curious [AND] proud [IMPLY] quaint [PERIOD]
old-fashioned [IMPLY] curious [PERIOD]
unpleasant [AND] gleaming [IMPLY] curious [PERIOD]
quaint [IMPLY] embarrassed [PERIOD]
aggressive [AND] gleaming [AND] old-fashioned [IMPLY] intellectual [PERIOD]
sincere [IMPLY] exuberant [PERIOD]
scared [AND] aggressive [AND] curious [IMPLY] helpful [PERIOD]
quaint [IMPLY] thoughtful [PERIOD]
diplomatic [IMPLY] curious [PERIOD]
exuberant [AND] scared [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] unpleasant [AND] dishonest [IMPLY] agreeable [PERIOD]
dull [AND] reserved [IMPLY] scared [PERIOD]
curious [IMPLY] outstanding [PERIOD]
helpful [AND] aggressive [IMPLY] ugly [PERIOD]
zealous [AND] scared [AND] unpleasant [IMPLY] proud [PERIOD]
reserved [AND] intellectual [IMPLY] famous [PERIOD]
proud [AND] old-fashioned [IMPLY] outstanding [PERIOD]
diplomatic [IMPLY] unpleasant [PERIOD]
quaint [AND] unpleasant [AND] embarrassed [IMPLY] smart [PERIOD]
dishonest [AND] intellectual [IMPLY] diplomatic [PERIOD]
proud [IMPLY] sincere [PERIOD]
scared [IMPLY] famous [PERIOD]
zealous [AND] curious [AND] dull [IMPLY] friendly [PERIOD]
famous [IMPLY] gleaming [PERIOD]
ugly [IMPLY] diplomatic [PERIOD]
friendly [AND] exuberant [AND] reserved [IMPLY] sensible [PERIOD]
dishonest [IMPLY] embarrassed [PERIOD]
dull [AND] curious [AND] scared [IMPLY] helpful [PERIOD]
reserved [IMPLY] intellectual [PERIOD]
gleaming [AND] unpleasant [AND] ugly [IMPLY] helpful [PERIOD]
helpful [AND] old-fashioned [IMPLY] curious [PERIOD]
diplomatic [AND] agreeable [AND] exuberant [IMPLY] unpleasant [PERIOD]
exuberant [IMPLY] friendly [PERIOD]
agreeable [IMPLY] intellectual [PERIOD]
intellectual [AND] dull [AND] famous [IMPLY] gleaming [PERIOD]
dishonest [AND] quaint [IMPLY] aggressive [PERIOD]
intellectual [IMPLY] famous [PERIOD]
thoughtful [IMPLY] sensible [PERIOD]
sincere [AND] unpleasant [AND] smart [IMPLY] intellectual [PERIOD]
smart [AND] helpful [AND] outstanding [IMPLY] proud [PERIOD]
outstanding [IMPLY] embarrassed [PERIOD]
sincere [AND] famous [AND] thoughtful [IMPLY] agreeable [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   Cannot apply rule “curious ∧ proud ⇒ quaint” because missing: curious, proud.
",0,1
"Facts:  Alice is popular [PERIOD] Alice is attractive [PERIOD] Alice is weary [PERIOD]
Rules:
loving [IMPLY] jittery [PERIOD]
jittery [IMPLY] tender [PERIOD]
confused [AND] scared [IMPLY] rational [PERIOD]
elated [AND] stupid [AND] foolish [IMPLY] jittery [PERIOD]
wrong [AND] quaint [IMPLY] crowded [PERIOD]
mean [AND] fearless [IMPLY] rational [PERIOD]
stupid [AND] gifted [AND] thoughtless [IMPLY] popular [PERIOD]
attentive [AND] anxious [IMPLY] mean [PERIOD]
worried [IMPLY] supportive [PERIOD]
elated [IMPLY] curious [PERIOD]
old-fashioned [IMPLY] crowded [PERIOD]
frightened [AND] weary [IMPLY] supportive [PERIOD]
average [AND] fearless [AND] worried [IMPLY] weary [PERIOD]
foolish [IMPLY] tender [PERIOD]
average [AND] wrong [IMPLY] sleepy [PERIOD]
popular [IMPLY] attractive [PERIOD]
quaint [AND] attractive [AND] rational [IMPLY] old-fashioned [PERIOD]
rational [IMPLY] frightened [PERIOD]
weary [IMPLY] witty [PERIOD]
supportive [AND] elated [IMPLY] worried [PERIOD]
witty [AND] worried [AND] gifted [IMPLY] scared [PERIOD]
supportive [AND] thoughtless [AND] quaint [IMPLY] elated [PERIOD]
quaint [AND] curious [IMPLY] sleepy [PERIOD]
mean [AND] inquisitive [IMPLY] rational [PERIOD]
fearless [AND] inquisitive [AND] wrong [IMPLY] old-fashioned [PERIOD]
foolish [AND] sleepy [AND] popular [IMPLY] stupid [PERIOD]
wrong [AND] confused [AND] attentive [IMPLY] supportive [PERIOD]
foolish [AND] gifted [IMPLY] tender [PERIOD]
rational [AND] average [AND] weary [IMPLY] scared [PERIOD]
jittery [AND] rational [AND] sleepy [IMPLY] stupid [PERIOD]
anxious [AND] elated [IMPLY] gifted [PERIOD]
supportive [AND] confused [IMPLY] crowded [PERIOD]
worried [IMPLY] weary [PERIOD]
supportive [AND] loving [IMPLY] weary [PERIOD]
average [AND] sleepy [AND] loving [IMPLY] mean [PERIOD]
anxious [AND] inquisitive [AND] tender [IMPLY] curious [PERIOD]
supportive [AND] frightened [IMPLY] weary [PERIOD]
sleepy [AND] curious [IMPLY] anxious [PERIOD]
inquisitive [IMPLY] frightened [PERIOD]
foolish [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] foolish [PERIOD]
mean [AND] foolish [IMPLY] jittery [PERIOD]
wrong [AND] sleepy [AND] thoughtless [IMPLY] attractive [PERIOD]
old-fashioned [IMPLY] popular [PERIOD]
foolish [IMPLY] curious [PERIOD]
quaint [IMPLY] frightened [PERIOD]
weary [AND] mean [AND] quaint [IMPLY] tender [PERIOD]
thoughtless [AND] worried [AND] elated [IMPLY] weary [PERIOD]
average [IMPLY] anxious [PERIOD]
mean [AND] rational [IMPLY] tender [PERIOD]
wrong [AND] supportive [IMPLY] crowded [PERIOD]
gifted [AND] worried [AND] wrong [IMPLY] sleepy [PERIOD]
old-fashioned [AND] average [IMPLY] thoughtless [PERIOD]
crowded [AND] wrong [AND] gifted [IMPLY] rational [PERIOD]
attentive [IMPLY] anxious [PERIOD]
attractive [AND] sleepy [AND] curious [IMPLY] crowded [PERIOD]
witty [AND] old-fashioned [IMPLY] frightened [PERIOD]
loving [AND] foolish [IMPLY] attractive [PERIOD]
weary [IMPLY] old-fashioned [PERIOD]
average [IMPLY] attractive [PERIOD]
fearless [AND] stupid [IMPLY] curious [PERIOD]
weary [AND] wrong [AND] loving [IMPLY] fearless [PERIOD]
confused [AND] tender [AND] crowded [IMPLY] average [PERIOD]
tender [IMPLY] fearless [PERIOD]
crowded [AND] sleepy [IMPLY] rational [PERIOD]
worried [AND] thoughtless [IMPLY] supportive [PERIOD]
quaint [AND] anxious [AND] average [IMPLY] gifted [PERIOD]
stupid [AND] average [IMPLY] curious [PERIOD]
tender [IMPLY] crowded [PERIOD]
popular [AND] witty [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] stupid [IMPLY] inquisitive [PERIOD]
popular [AND] wrong [IMPLY] old-fashioned [PERIOD]
sleepy [AND] loving [AND] worried [IMPLY] attentive [PERIOD]
average [AND] attentive [IMPLY] anxious [PERIOD]
attractive [IMPLY] tender [PERIOD]
confused [AND] stupid [AND] scared [IMPLY] worried [PERIOD]
wrong [IMPLY] loving [PERIOD]
thoughtless [AND] supportive [AND] weary [IMPLY] frightened [PERIOD]
attractive [AND] worried [AND] loving [IMPLY] popular [PERIOD]
wrong [IMPLY] thoughtless [PERIOD]
loving [AND] witty [IMPLY] attentive [PERIOD]
worried [AND] wrong [IMPLY] average [PERIOD]
attractive [AND] anxious [IMPLY] stupid [PERIOD]
frightened [IMPLY] mean [PERIOD]
mean [IMPLY] crowded [PERIOD]
attentive [AND] thoughtless [AND] gifted [IMPLY] attractive [PERIOD]
confused [AND] weary [AND] mean [IMPLY] worried [PERIOD]
tender [IMPLY] elated [PERIOD]
quaint [IMPLY] supportive [PERIOD]
anxious [IMPLY] attentive [PERIOD]
frightened [AND] confused [IMPLY] anxious [PERIOD]
loving [AND] witty [AND] weary [IMPLY] average [PERIOD]
weary [AND] foolish [IMPLY] confused [PERIOD]
foolish [IMPLY] jittery [PERIOD]
jittery [AND] gifted [IMPLY] weary [PERIOD]
quaint [IMPLY] attentive [PERIOD]
stupid [AND] loving [IMPLY] confused [PERIOD]
scared [AND] average [IMPLY] worried [PERIOD]
confused [IMPLY] mean [PERIOD]
wrong [AND] attentive [AND] witty [IMPLY] attractive [PERIOD]
weary [IMPLY] rational [PERIOD]
scared [AND] inquisitive [IMPLY] thoughtless [PERIOD]
old-fashioned [AND] attractive [IMPLY] foolish [PERIOD]
gifted [AND] tender [AND] inquisitive [IMPLY] anxious [PERIOD]
average [AND] jittery [AND] foolish [IMPLY] witty [PERIOD]
weary [AND] worried [AND] supportive [IMPLY] old-fashioned [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   weary ⇒ rational
   rational ⇒ frightened
   weary ⇒ old-fashioned
   old-fashioned ∧ attractive ⇒ foolish
   weary ∧ foolish ⇒ confused
   frightened ∧ confused ⇒ anxious
   attractive ∧ anxious ⇒ stupid
",1,7
"Facts: 
Rules:
horrible [AND] exuberant [AND] inexpensive [IMPLY] long [PERIOD]
victorious [IMPLY] friendly [PERIOD]
friendly [AND] long [AND] exuberant [IMPLY] pleasant [PERIOD]
friendly [AND] inexpensive [IMPLY] victorious [PERIOD]
friendly [IMPLY] victorious [PERIOD]
victorious [AND] inexpensive [IMPLY] inquisitive [PERIOD]
uptight [IMPLY] friendly [PERIOD]
friendly [IMPLY] pleasant [PERIOD]
uptight [IMPLY] long [PERIOD]
exuberant [AND] victorious [IMPLY] long [PERIOD]
pleasant [IMPLY] friendly [PERIOD]
victorious [IMPLY] pleasant [PERIOD]
friendly [AND] uptight [IMPLY] inexpensive [PERIOD]
inquisitive [AND] long [IMPLY] friendly [PERIOD]
inexpensive [AND] exuberant [IMPLY] uptight [PERIOD]
exuberant [AND] pleasant [IMPLY] long [PERIOD]
inquisitive [AND] long [AND] pleasant [IMPLY] inexpensive [PERIOD]
pleasant [IMPLY] uptight [PERIOD]
pleasant [AND] victorious [IMPLY] inquisitive [PERIOD]
inquisitive [AND] friendly [AND] pleasant [IMPLY] victorious [PERIOD]
victorious [AND] pleasant [AND] exuberant [IMPLY] long [PERIOD]
friendly [AND] uptight [IMPLY] exuberant [PERIOD]
inquisitive [IMPLY] exuberant [PERIOD]
inexpensive [IMPLY] inquisitive [PERIOD]
inexpensive [AND] horrible [AND] pleasant [IMPLY] inquisitive [PERIOD]
victorious [AND] inexpensive [AND] inquisitive [IMPLY] pleasant [PERIOD]
inexpensive [AND] pleasant [AND] uptight [IMPLY] long [PERIOD]
victorious [AND] exuberant [AND] inexpensive [IMPLY] uptight [PERIOD]
long [IMPLY] uptight [PERIOD]
Query: Alice is inexpensive [PERIOD]","Proof chain:
   Cannot apply rule “friendly ∧ uptight ⇒ inexpensive” because missing: friendly, uptight.
   Cannot apply rule “inquisitive ∧ long ∧ pleasant ⇒ inexpensive” because missing: inquisitive, long, pleasant.
",0,2
"Facts:  Alice is inexpensive [PERIOD] Alice is old-fashioned [PERIOD]
Rules:
precious [AND] strange [IMPLY] comfortable [PERIOD]
ugliest [AND] sleepy [IMPLY] worried [PERIOD]
helpless [AND] old-fashioned [IMPLY] inexpensive [PERIOD]
worried [IMPLY] gleaming [PERIOD]
old-fashioned [IMPLY] sleepy [PERIOD]
strange [AND] inexpensive [IMPLY] disgusted [PERIOD]
inexpensive [IMPLY] old-fashioned [PERIOD]
ugliest [AND] comfortable [IMPLY] strange [PERIOD]
worried [AND] strange [IMPLY] comfortable [PERIOD]
helpless [AND] ugliest [AND] precious [IMPLY] old-fashioned [PERIOD]
inexpensive [AND] old-fashioned [IMPLY] precious [PERIOD]
disgusted [IMPLY] gleaming [PERIOD]
sleepy [AND] precious [IMPLY] ugliest [PERIOD]
sleepy [AND] strange [IMPLY] worried [PERIOD]
inexpensive [AND] helpless [IMPLY] old-fashioned [PERIOD]
inexpensive [AND] disgusted [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] worried [IMPLY] ugliest [PERIOD]
sleepy [AND] worried [AND] comfortable [IMPLY] precious [PERIOD]
sleepy [AND] worried [IMPLY] ugliest [PERIOD]
gleaming [AND] strange [IMPLY] disgusted [PERIOD]
worried [AND] precious [IMPLY] ugliest [PERIOD]
disgusted [AND] helpless [AND] ugliest [IMPLY] strange [PERIOD]
helpless [AND] worried [IMPLY] disgusted [PERIOD]
comfortable [AND] precious [AND] helpless [IMPLY] gleaming [PERIOD]
strange [AND] precious [AND] inexpensive [IMPLY] gleaming [PERIOD]
ugliest [AND] disgusted [IMPLY] comfortable [PERIOD]
ugliest [IMPLY] helpless [PERIOD]
strange [AND] helpless [IMPLY] ugliest [PERIOD]
sleepy [IMPLY] old-fashioned [PERIOD]
comfortable [IMPLY] sleepy [PERIOD]
worried [AND] old-fashioned [IMPLY] gleaming [PERIOD]
ugliest [IMPLY] old-fashioned [PERIOD]
worried [AND] strange [IMPLY] ugliest [PERIOD]
sleepy [AND] disgusted [IMPLY] ugliest [PERIOD]
disgusted [AND] ugliest [AND] precious [IMPLY] helpless [PERIOD]
gleaming [AND] sleepy [AND] comfortable [IMPLY] worried [PERIOD]
gleaming [AND] old-fashioned [AND] comfortable [IMPLY] precious [PERIOD]
old-fashioned [AND] helpless [AND] inexpensive [IMPLY] comfortable [PERIOD]
comfortable [AND] ugliest [IMPLY] worried [PERIOD]
inexpensive [AND] gleaming [IMPLY] old-fashioned [PERIOD]
inexpensive [AND] ugliest [AND] strange [IMPLY] precious [PERIOD]
strange [AND] disgusted [AND] helpless [IMPLY] old-fashioned [PERIOD]
disgusted [AND] precious [IMPLY] worried [PERIOD]
Query: Alice is gleaming [PERIOD]","Proof chain:
   old-fashioned ⇒ sleepy
   inexpensive ∧ old-fashioned ⇒ precious
   sleepy ∧ precious ⇒ ugliest
   old-fashioned ⇒ sleepy
   ugliest ∧ sleepy ⇒ worried
   worried ⇒ gleaming
",1,6
"Facts:  Alice is weary [PERIOD] Alice is straightforward [PERIOD]
Rules:
precious [AND] agreeable [AND] frail [IMPLY] confident [PERIOD]
shy [AND] selfish [AND] precious [IMPLY] famous [PERIOD]
precious [IMPLY] frightened [PERIOD]
weary [AND] selfish [IMPLY] crowded [PERIOD]
silly [AND] confident [IMPLY] famous [PERIOD]
shy [AND] frightened [AND] confident [IMPLY] courageous [PERIOD]
polite [AND] courageous [IMPLY] weary [PERIOD]
curious [IMPLY] naughty [PERIOD]
troubled [AND] enchanting [IMPLY] shy [PERIOD]
pleasant [AND] frightened [IMPLY] shy [PERIOD]
sensible [AND] famous [AND] intellectual [IMPLY] courageous [PERIOD]
plain [IMPLY] amused [PERIOD]
confident [IMPLY] naughty [PERIOD]
amused [AND] confident [AND] curious [IMPLY] agreeable [PERIOD]
enchanting [AND] shy [IMPLY] confident [PERIOD]
famous [AND] amused [AND] confident [IMPLY] polite [PERIOD]
confident [AND] weary [IMPLY] pleasant [PERIOD]
sensible [IMPLY] precious [PERIOD]
confident [AND] curious [AND] amused [IMPLY] weary [PERIOD]
courageous [AND] agreeable [IMPLY] polite [PERIOD]
precious [AND] amused [AND] sensible [IMPLY] polite [PERIOD]
frail [IMPLY] amused [PERIOD]
amused [AND] famous [AND] talented [IMPLY] frail [PERIOD]
plain [IMPLY] frightened [PERIOD]
naughty [AND] intellectual [AND] frightened [IMPLY] confident [PERIOD]
curious [AND] frail [IMPLY] intellectual [PERIOD]
frail [IMPLY] selfish [PERIOD]
plain [AND] troubled [IMPLY] shy [PERIOD]
sensible [IMPLY] pleasant [PERIOD]
famous [AND] frightened [IMPLY] enchanting [PERIOD]
frightened [AND] naughty [AND] famous [IMPLY] polite [PERIOD]
enchanting [IMPLY] weary [PERIOD]
weary [AND] selfish [AND] amused [IMPLY] frightened [PERIOD]
famous [IMPLY] frightened [PERIOD]
selfish [AND] talented [AND] pleasant [IMPLY] intellectual [PERIOD]
troubled [AND] crowded [IMPLY] sensible [PERIOD]
troubled [AND] intellectual [IMPLY] curious [PERIOD]
shy [AND] silly [IMPLY] frail [PERIOD]
talented [AND] amused [IMPLY] straightforward [PERIOD]
plain [IMPLY] silly [PERIOD]
pleasant [AND] intellectual [AND] naughty [IMPLY] enchanting [PERIOD]
intellectual [IMPLY] sensible [PERIOD]
famous [IMPLY] troubled [PERIOD]
silly [AND] straightforward [AND] crowded [IMPLY] talented [PERIOD]
famous [AND] plain [IMPLY] intellectual [PERIOD]
selfish [AND] crowded [AND] precious [IMPLY] famous [PERIOD]
shy [IMPLY] confident [PERIOD]
curious [IMPLY] silly [PERIOD]
famous [IMPLY] naughty [PERIOD]
enchanting [IMPLY] troubled [PERIOD]
famous [AND] confident [IMPLY] troubled [PERIOD]
troubled [AND] agreeable [IMPLY] famous [PERIOD]
frightened [AND] plain [AND] famous [IMPLY] selfish [PERIOD]
polite [AND] pleasant [AND] straightforward [IMPLY] intellectual [PERIOD]
frail [AND] shy [AND] weary [IMPLY] amused [PERIOD]
confident [AND] plain [IMPLY] polite [PERIOD]
famous [IMPLY] crowded [PERIOD]
shy [IMPLY] courageous [PERIOD]
amused [AND] confident [IMPLY] weary [PERIOD]
troubled [IMPLY] pleasant [PERIOD]
frightened [IMPLY] straightforward [PERIOD]
polite [AND] frail [AND] amused [IMPLY] courageous [PERIOD]
silly [IMPLY] polite [PERIOD]
shy [AND] intellectual [AND] crowded [IMPLY] troubled [PERIOD]
intellectual [AND] troubled [IMPLY] famous [PERIOD]
plain [IMPLY] talented [PERIOD]
selfish [IMPLY] curious [PERIOD]
plain [AND] frightened [AND] confident [IMPLY] shy [PERIOD]
pleasant [IMPLY] straightforward [PERIOD]
naughty [AND] courageous [IMPLY] intellectual [PERIOD]
amused [AND] sensible [AND] curious [IMPLY] intellectual [PERIOD]
weary [AND] polite [IMPLY] troubled [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   Cannot apply rule “weary ∧ selfish ⇒ crowded” because missing: selfish.
   Cannot apply rule “famous ⇒ crowded” because missing: famous.
",0,2
"Facts:  Alice is unpleasant [PERIOD] Alice is intellectual [PERIOD]
Rules:
attentive [IMPLY] intellectual [PERIOD]
unpleasant [AND] strange [AND] intellectual [IMPLY] pleasant [PERIOD]
different [IMPLY] intellectual [PERIOD]
shiny [AND] bright [AND] excited [IMPLY] crowded [PERIOD]
innocent [AND] pleasant [IMPLY] enchanting [PERIOD]
unpleasant [IMPLY] friendly [PERIOD]
different [AND] impatient [IMPLY] friendly [PERIOD]
impatient [AND] innocent [AND] intellectual [IMPLY] unpleasant [PERIOD]
impatient [IMPLY] enchanting [PERIOD]
unpleasant [AND] strange [IMPLY] impatient [PERIOD]
crowded [AND] talkative [AND] shiny [IMPLY] impatient [PERIOD]
enchanting [AND] impatient [AND] talkative [IMPLY] unpleasant [PERIOD]
intellectual [AND] pleasant [IMPLY] different [PERIOD]
unpleasant [AND] friendly [AND] shiny [IMPLY] different [PERIOD]
intellectual [AND] attentive [IMPLY] pleasant [PERIOD]
intellectual [AND] bright [IMPLY] friendly [PERIOD]
impatient [AND] shiny [IMPLY] different [PERIOD]
intellectual [AND] attentive [AND] pleasant [IMPLY] shiny [PERIOD]
innocent [AND] excited [IMPLY] talkative [PERIOD]
impatient [AND] intellectual [AND] attentive [IMPLY] strange [PERIOD]
crowded [IMPLY] enchanting [PERIOD]
shiny [AND] alert [AND] enchanting [IMPLY] pleasant [PERIOD]
impatient [AND] pleasant [IMPLY] excited [PERIOD]
unpleasant [AND] intellectual [AND] bright [IMPLY] talkative [PERIOD]
strange [AND] alert [IMPLY] attentive [PERIOD]
different [AND] bright [AND] enchanting [IMPLY] alert [PERIOD]
strange [AND] excited [AND] friendly [IMPLY] unpleasant [PERIOD]
unpleasant [AND] impatient [AND] crowded [IMPLY] excited [PERIOD]
friendly [IMPLY] bright [PERIOD]
shiny [AND] intellectual [AND] attentive [IMPLY] alert [PERIOD]
unpleasant [AND] friendly [IMPLY] attentive [PERIOD]
shiny [IMPLY] friendly [PERIOD]
talkative [AND] crowded [AND] shiny [IMPLY] innocent [PERIOD]
crowded [IMPLY] talkative [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   unpleasant ⇒ friendly
   unpleasant ∧ friendly ⇒ attentive
   intellectual ∧ attentive ⇒ pleasant
   Cannot apply rule “innocent ∧ pleasant ⇒ enchanting” because missing: innocent.
   Cannot apply rule “impatient ⇒ enchanting” because missing: impatient.
   Cannot apply rule “crowded ⇒ enchanting” because missing: crowded.
",0,6
"Facts:  Alice is proud [PERIOD] Alice is pessimistic [PERIOD] Alice is attractive [PERIOD]
Rules:
pessimistic [AND] mean [IMPLY] attractive [PERIOD]
attractive [IMPLY] mean [PERIOD]
spotless [AND] plain [IMPLY] mean [PERIOD]
attractive [AND] plain [IMPLY] spotless [PERIOD]
mean [IMPLY] plain [PERIOD]
spotless [IMPLY] pessimistic [PERIOD]
mean [IMPLY] proud [PERIOD]
spotless [AND] plain [AND] proud [IMPLY] pessimistic [PERIOD]
mean [AND] plain [IMPLY] spotless [PERIOD]
proud [AND] plain [IMPLY] attractive [PERIOD]
spotless [AND] plain [IMPLY] attractive [PERIOD]
mean [AND] pessimistic [IMPLY] spotless [PERIOD]
proud [AND] pessimistic [AND] mean [IMPLY] spotless [PERIOD]
pessimistic [IMPLY] plain [PERIOD]
pessimistic [AND] proud [AND] spotless [IMPLY] plain [PERIOD]
plain [AND] pessimistic [IMPLY] mean [PERIOD]
mean [IMPLY] spotless [PERIOD]
pessimistic [AND] mean [AND] spotless [IMPLY] proud [PERIOD]
proud [IMPLY] attractive [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   attractive ⇒ mean
",1,1
"Facts: 
Rules:
light [IMPLY] gleaming [PERIOD]
fearless [AND] proud [AND] elegant [IMPLY] cooperative [PERIOD]
grumpy [AND] bright [IMPLY] elegant [PERIOD]
precious [AND] talkative [AND] wandering [IMPLY] lucky [PERIOD]
easy [IMPLY] cooperative [PERIOD]
amused [AND] troubled [IMPLY] cruel [PERIOD]
perfect [IMPLY] easy [PERIOD]
proud [AND] cruel [IMPLY] combative [PERIOD]
fearless [AND] precious [AND] cruel [IMPLY] elegant [PERIOD]
wrong [AND] wandering [AND] bright [IMPLY] combative [PERIOD]
wandering [AND] cooperative [AND] reserved [IMPLY] amused [PERIOD]
lucky [AND] cruel [AND] talkative [IMPLY] fearless [PERIOD]
reserved [AND] bright [AND] broad-minded [IMPLY] proud [PERIOD]
cooperative [IMPLY] grumpy [PERIOD]
fearless [AND] reserved [AND] easy [IMPLY] grumpy [PERIOD]
troubled [AND] wide-eyed [AND] precious [IMPLY] light [PERIOD]
gleaming [IMPLY] broad-minded [PERIOD]
troubled [IMPLY] elegant [PERIOD]
wrong [IMPLY] easy [PERIOD]
proud [IMPLY] combative [PERIOD]
wide-eyed [AND] grumpy [AND] troubled [IMPLY] wrong [PERIOD]
troubled [IMPLY] talkative [PERIOD]
wide-eyed [AND] talkative [AND] bright [IMPLY] wandering [PERIOD]
reserved [IMPLY] precious [PERIOD]
bright [AND] lucky [AND] wrong [IMPLY] troubled [PERIOD]
elegant [AND] wide-eyed [AND] cooperative [IMPLY] proud [PERIOD]
lucky [AND] light [IMPLY] fearless [PERIOD]
wrong [IMPLY] cooperative [PERIOD]
troubled [AND] wide-eyed [AND] wandering [IMPLY] broad-minded [PERIOD]
bright [AND] precious [IMPLY] amused [PERIOD]
elegant [AND] gleaming [AND] wandering [IMPLY] lucky [PERIOD]
easy [AND] bright [AND] broad-minded [IMPLY] reserved [PERIOD]
broad-minded [IMPLY] precious [PERIOD]
easy [AND] wrong [AND] light [IMPLY] elegant [PERIOD]
wide-eyed [AND] reserved [IMPLY] lucky [PERIOD]
talkative [IMPLY] combative [PERIOD]
light [AND] bright [AND] combative [IMPLY] troubled [PERIOD]
light [IMPLY] amused [PERIOD]
reserved [IMPLY] bright [PERIOD]
cruel [AND] combative [IMPLY] fearless [PERIOD]
gleaming [AND] wrong [IMPLY] light [PERIOD]
fearless [AND] reserved [IMPLY] precious [PERIOD]
perfect [AND] stormy [IMPLY] talkative [PERIOD]
amused [IMPLY] lucky [PERIOD]
proud [AND] grumpy [IMPLY] stormy [PERIOD]
precious [AND] combative [AND] amused [IMPLY] troubled [PERIOD]
amused [AND] proud [AND] broad-minded [IMPLY] fearless [PERIOD]
lucky [AND] amused [IMPLY] stormy [PERIOD]
gleaming [IMPLY] cooperative [PERIOD]
elegant [AND] proud [AND] amused [IMPLY] combative [PERIOD]
combative [AND] proud [IMPLY] bright [PERIOD]
reserved [AND] talkative [AND] wide-eyed [IMPLY] lucky [PERIOD]
fearless [IMPLY] wandering [PERIOD]
gleaming [IMPLY] easy [PERIOD]
elegant [AND] stormy [AND] wide-eyed [IMPLY] lucky [PERIOD]
broad-minded [AND] cruel [AND] fearless [IMPLY] bright [PERIOD]
talkative [IMPLY] bright [PERIOD]
light [AND] precious [AND] perfect [IMPLY] gleaming [PERIOD]
fearless [AND] wandering [AND] elegant [IMPLY] easy [PERIOD]
wandering [AND] precious [IMPLY] light [PERIOD]
fearless [AND] cruel [AND] troubled [IMPLY] proud [PERIOD]
troubled [IMPLY] cooperative [PERIOD]
gleaming [IMPLY] precious [PERIOD]
troubled [IMPLY] lucky [PERIOD]
cruel [AND] perfect [IMPLY] proud [PERIOD]
wrong [AND] proud [IMPLY] grumpy [PERIOD]
gleaming [IMPLY] talkative [PERIOD]
lucky [AND] amused [AND] cruel [IMPLY] gleaming [PERIOD]
perfect [AND] stormy [AND] amused [IMPLY] wrong [PERIOD]
perfect [IMPLY] cruel [PERIOD]
cruel [AND] reserved [IMPLY] precious [PERIOD]
reserved [AND] lucky [AND] grumpy [IMPLY] wide-eyed [PERIOD]
cruel [IMPLY] wrong [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   Cannot apply rule “wandering ∧ cooperative ∧ reserved ⇒ amused” because missing: wandering, cooperative, reserved.
   Cannot apply rule “bright ∧ precious ⇒ amused” because missing: bright, precious.
   Cannot apply rule “light ⇒ amused” because missing: light.
",0,3
"Facts: 
Rules:
powerful [AND] worrisome [IMPLY] unpleasant [PERIOD]
powerful [IMPLY] lonely [PERIOD]
frightened [AND] fragile [AND] bright [IMPLY] broad-minded [PERIOD]
plain [IMPLY] fragile [PERIOD]
plain [AND] frightened [IMPLY] tidy [PERIOD]
broad-minded [AND] powerful [AND] polite [IMPLY] tidy [PERIOD]
unpleasant [AND] tidy [IMPLY] stormy [PERIOD]
average [IMPLY] frightened [PERIOD]
fragile [IMPLY] stormy [PERIOD]
plain [AND] average [AND] sincere [IMPLY] tidy [PERIOD]
sincere [AND] versatile [IMPLY] plain [PERIOD]
powerful [AND] worrisome [IMPLY] fragile [PERIOD]
polite [AND] average [IMPLY] broad-minded [PERIOD]
worrisome [IMPLY] fragile [PERIOD]
unpleasant [AND] frightened [AND] plain [IMPLY] versatile [PERIOD]
plain [AND] polite [IMPLY] powerful [PERIOD]
worrisome [IMPLY] unpleasant [PERIOD]
frightened [AND] tidy [IMPLY] versatile [PERIOD]
sincere [AND] lonely [IMPLY] unpleasant [PERIOD]
worrisome [AND] bright [IMPLY] sincere [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   Cannot apply rule “frightened ∧ fragile ∧ bright ⇒ broad-minded” because missing: frightened, fragile, bright.
   Cannot apply rule “polite ∧ average ⇒ broad-minded” because missing: polite, average.
",0,2
"Facts:  Alice is thoughtful [PERIOD] Alice is frantic [PERIOD] Alice is anxious [PERIOD] Alice is courageous [PERIOD] Alice is aggressive [PERIOD] Alice is unpleasant [PERIOD] Alice is polite [PERIOD] Alice is sleepy [PERIOD] Alice is diplomatic [PERIOD] Alice is confused [PERIOD] Alice is wrong [PERIOD] Alice is sincere [PERIOD] Alice is elated [PERIOD] Alice is worrisome [PERIOD] Alice is broad-minded [PERIOD] Alice is helpless [PERIOD] Alice is zealous [PERIOD] Alice is impartial [PERIOD]
Rules:
helpless [AND] zealous [AND] aggressive [IMPLY] sleepy [PERIOD]
elated [AND] sincere [AND] thoughtful [IMPLY] confused [PERIOD]
helpless [AND] zealous [AND] courageous [IMPLY] anxious [PERIOD]
helpless [IMPLY] diplomatic [PERIOD]
thoughtful [AND] strange [IMPLY] helpless [PERIOD]
unpleasant [IMPLY] strange [PERIOD]
diplomatic [IMPLY] helpless [PERIOD]
anxious [AND] broad-minded [IMPLY] impartial [PERIOD]
worrisome [AND] wrong [IMPLY] unpleasant [PERIOD]
wrong [AND] diplomatic [IMPLY] zealous [PERIOD]
unpleasant [AND] different [IMPLY] thoughtful [PERIOD]
diplomatic [AND] unpleasant [IMPLY] sleepy [PERIOD]
zealous [IMPLY] aggressive [PERIOD]
thoughtful [AND] aggressive [AND] polite [IMPLY] anxious [PERIOD]
frantic [AND] elated [IMPLY] sleepy [PERIOD]
confused [AND] elated [AND] thoughtful [IMPLY] polite [PERIOD]
sleepy [AND] worrisome [IMPLY] polite [PERIOD]
different [IMPLY] impartial [PERIOD]
diplomatic [IMPLY] courageous [PERIOD]
sleepy [AND] aggressive [IMPLY] frantic [PERIOD]
frantic [IMPLY] helpless [PERIOD]
strange [AND] diplomatic [IMPLY] agreeable [PERIOD]
loving [AND] wrong [IMPLY] polite [PERIOD]
impartial [IMPLY] polite [PERIOD]
worrisome [AND] polite [IMPLY] diplomatic [PERIOD]
strange [IMPLY] wrong [PERIOD]
sleepy [IMPLY] strange [PERIOD]
confused [IMPLY] diplomatic [PERIOD]
agreeable [IMPLY] unpleasant [PERIOD]
thoughtful [AND] courageous [AND] impartial [IMPLY] agreeable [PERIOD]
strange [AND] unpleasant [AND] broad-minded [IMPLY] loving [PERIOD]
broad-minded [AND] zealous [AND] sleepy [IMPLY] anxious [PERIOD]
wrong [AND] agreeable [IMPLY] confused [PERIOD]
impartial [AND] courageous [IMPLY] zealous [PERIOD]
worrisome [AND] unpleasant [AND] different [IMPLY] impartial [PERIOD]
wrong [AND] elated [IMPLY] broad-minded [PERIOD]
wrong [AND] helpless [AND] unpleasant [IMPLY] strange [PERIOD]
confused [AND] loving [AND] sincere [IMPLY] elated [PERIOD]
elated [IMPLY] frantic [PERIOD]
strange [AND] impartial [IMPLY] sleepy [PERIOD]
courageous [AND] confused [AND] sincere [IMPLY] frantic [PERIOD]
sincere [AND] elated [AND] wrong [IMPLY] aggressive [PERIOD]
broad-minded [AND] strange [AND] confused [IMPLY] elated [PERIOD]
aggressive [AND] elated [AND] courageous [IMPLY] worrisome [PERIOD]
frantic [AND] helpless [IMPLY] worrisome [PERIOD]
elated [IMPLY] broad-minded [PERIOD]
frantic [AND] loving [IMPLY] agreeable [PERIOD]
sincere [IMPLY] courageous [PERIOD]
courageous [IMPLY] elated [PERIOD]
different [AND] sleepy [IMPLY] frantic [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   sleepy ⇒ strange
   strange ∧ unpleasant ∧ broad-minded ⇒ loving
",1,2
"Facts:  Alice is victorious [PERIOD]
Rules:
sincere [AND] elegant [AND] jittery [IMPLY] victorious [PERIOD]
elegant [AND] charming [IMPLY] victorious [PERIOD]
bored [AND] thoughtful [IMPLY] victorious [PERIOD]
messy [AND] elegant [AND] scared [IMPLY] tired [PERIOD]
charming [AND] crowded [IMPLY] proud [PERIOD]
victorious [AND] weary [IMPLY] comfortable [PERIOD]
pessimistic [AND] comfortable [IMPLY] spotless [PERIOD]
tired [AND] pessimistic [IMPLY] elated [PERIOD]
tired [AND] elated [AND] spotless [IMPLY] agreeable [PERIOD]
agreeable [AND] messy [AND] bored [IMPLY] crowded [PERIOD]
tired [IMPLY] messy [PERIOD]
tired [IMPLY] alert [PERIOD]
pessimistic [AND] helpful [AND] weary [IMPLY] thoughtful [PERIOD]
comfortable [IMPLY] frail [PERIOD]
old-fashioned [AND] weary [AND] agreeable [IMPLY] frail [PERIOD]
pessimistic [AND] frail [IMPLY] bored [PERIOD]
tired [AND] thoughtful [AND] weary [IMPLY] messy [PERIOD]
victorious [AND] comfortable [IMPLY] helpful [PERIOD]
scared [AND] messy [AND] sincere [IMPLY] proud [PERIOD]
jittery [IMPLY] crowded [PERIOD]
helpful [AND] comfortable [IMPLY] proud [PERIOD]
spotless [AND] frail [AND] weary [IMPLY] alert [PERIOD]
helpful [IMPLY] charming [PERIOD]
elegant [AND] victorious [AND] charming [IMPLY] comfortable [PERIOD]
charming [AND] elegant [IMPLY] quaint [PERIOD]
messy [IMPLY] elated [PERIOD]
thoughtful [AND] cooperative [AND] charming [IMPLY] tired [PERIOD]
proud [IMPLY] elated [PERIOD]
old-fashioned [AND] jittery [IMPLY] helpful [PERIOD]
spotless [IMPLY] tired [PERIOD]
messy [AND] old-fashioned [IMPLY] spotless [PERIOD]
alert [AND] crowded [IMPLY] jittery [PERIOD]
thoughtful [AND] helpful [AND] scared [IMPLY] messy [PERIOD]
frail [AND] comfortable [IMPLY] messy [PERIOD]
jittery [AND] messy [IMPLY] weary [PERIOD]
bored [IMPLY] jittery [PERIOD]
messy [IMPLY] cooperative [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   No rule concludes “old-fashioned.”
",0,1
"Facts:  Alice is intellectual [PERIOD] Alice is old-fashioned [PERIOD] Alice is homely [PERIOD] Alice is alert [PERIOD] Alice is attentive [PERIOD] Alice is innocent [PERIOD] Alice is embarrassed [PERIOD] Alice is smart [PERIOD] Alice is amused [PERIOD] Alice is bad-tempered [PERIOD] Alice is cruel [PERIOD] Alice is average [PERIOD] Alice is lonely [PERIOD] Alice is uptight [PERIOD] Alice is elated [PERIOD] Alice is attractive [PERIOD]
Rules:
homely [IMPLY] lonely [PERIOD]
sensible [AND] polite [AND] cruel [IMPLY] average [PERIOD]
talkative [AND] smart [IMPLY] uptight [PERIOD]
attractive [AND] lonely [IMPLY] alert [PERIOD]
elated [AND] talented [AND] amused [IMPLY] cruel [PERIOD]
plain [IMPLY] talented [PERIOD]
average [IMPLY] old-fashioned [PERIOD]
sensible [AND] cruel [AND] vivacious [IMPLY] innocent [PERIOD]
innocent [AND] plain [IMPLY] vivacious [PERIOD]
attentive [AND] uptight [IMPLY] homely [PERIOD]
vivacious [AND] diplomatic [AND] elated [IMPLY] ugliest [PERIOD]
talented [AND] elated [AND] bad-tempered [IMPLY] talkative [PERIOD]
innocent [AND] smart [AND] attractive [IMPLY] cruel [PERIOD]
bossy [AND] smart [AND] vivacious [IMPLY] ugliest [PERIOD]
bad-tempered [AND] cruel [AND] alert [IMPLY] talkative [PERIOD]
ugliest [IMPLY] bad-tempered [PERIOD]
lonely [IMPLY] ugliest [PERIOD]
cruel [AND] average [IMPLY] bossy [PERIOD]
talented [AND] diplomatic [IMPLY] embarrassed [PERIOD]
talented [IMPLY] amused [PERIOD]
plain [IMPLY] embarrassed [PERIOD]
cruel [AND] innocent [IMPLY] smart [PERIOD]
plain [AND] alert [AND] cruel [IMPLY] lonely [PERIOD]
cruel [IMPLY] smart [PERIOD]
amused [IMPLY] elated [PERIOD]
intellectual [AND] sensible [IMPLY] cruel [PERIOD]
cruel [AND] lonely [AND] old-fashioned [IMPLY] bad-tempered [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
   lonely ⇒ ugliest
",1,1
"Facts:  Alice is messy [PERIOD] Alice is talented [PERIOD] Alice is old-fashioned [PERIOD] Alice is clumsy [PERIOD] Alice is busy [PERIOD]
Rules:
clumsy [IMPLY] old-fashioned [PERIOD]
courageous [IMPLY] messy [PERIOD]
exuberant [AND] old-fashioned [AND] stubborn [IMPLY] messy [PERIOD]
sincere [AND] clumsy [AND] ugliest [IMPLY] impartial [PERIOD]
stubborn [IMPLY] bored [PERIOD]
proud [IMPLY] busy [PERIOD]
busy [AND] bored [AND] stubborn [IMPLY] embarrassed [PERIOD]
sincere [AND] talented [AND] supportive [IMPLY] strange [PERIOD]
bored [AND] proud [IMPLY] exuberant [PERIOD]
messy [AND] sincere [AND] fine [IMPLY] careless [PERIOD]
fine [AND] embarrassed [IMPLY] impartial [PERIOD]
stubborn [AND] bored [AND] careless [IMPLY] clumsy [PERIOD]
proud [AND] messy [IMPLY] busy [PERIOD]
stubborn [AND] sincere [AND] troubled [IMPLY] embarrassed [PERIOD]
old-fashioned [IMPLY] clumsy [PERIOD]
troubled [AND] impartial [IMPLY] careless [PERIOD]
fine [AND] proud [AND] supportive [IMPLY] strange [PERIOD]
old-fashioned [AND] busy [IMPLY] courageous [PERIOD]
ugliest [AND] strange [AND] stubborn [IMPLY] old-fashioned [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
   No rule concludes “ugliest.”
",0,1
"Facts:  Alice is ambitious [PERIOD] Alice is alert [PERIOD] Alice is silly [PERIOD] Alice is shy [PERIOD]
Rules:
victorious [AND] versatile [IMPLY] light [PERIOD]
versatile [AND] bad-tempered [AND] alert [IMPLY] precious [PERIOD]
light [AND] silly [IMPLY] victorious [PERIOD]
light [AND] ambitious [IMPLY] shy [PERIOD]
bad-tempered [AND] silly [AND] shy [IMPLY] ambitious [PERIOD]
bad-tempered [IMPLY] homely [PERIOD]
homely [IMPLY] famous [PERIOD]
shy [AND] alert [AND] ambitious [IMPLY] bad-tempered [PERIOD]
precious [AND] famous [AND] ambitious [IMPLY] silly [PERIOD]
bad-tempered [IMPLY] famous [PERIOD]
bad-tempered [IMPLY] silly [PERIOD]
silly [IMPLY] versatile [PERIOD]
victorious [AND] alert [IMPLY] ambitious [PERIOD]
smart [AND] silly [IMPLY] alert [PERIOD]
versatile [IMPLY] smart [PERIOD]
famous [AND] light [IMPLY] silly [PERIOD]
shy [AND] versatile [AND] bad-tempered [IMPLY] victorious [PERIOD]
versatile [AND] silly [IMPLY] precious [PERIOD]
homely [AND] shy [AND] light [IMPLY] famous [PERIOD]
famous [AND] victorious [AND] shy [IMPLY] smart [PERIOD]
shy [AND] homely [AND] victorious [IMPLY] bad-tempered [PERIOD]
smart [AND] precious [IMPLY] silly [PERIOD]
bad-tempered [IMPLY] light [PERIOD]
famous [IMPLY] ambitious [PERIOD]
silly [AND] bad-tempered [AND] famous [IMPLY] homely [PERIOD]
silly [AND] bad-tempered [IMPLY] smart [PERIOD]
alert [AND] versatile [IMPLY] famous [PERIOD]
versatile [IMPLY] light [PERIOD]
victorious [AND] homely [IMPLY] alert [PERIOD]
bad-tempered [AND] homely [IMPLY] versatile [PERIOD]
silly [AND] alert [IMPLY] homely [PERIOD]
silly [AND] victorious [AND] homely [IMPLY] smart [PERIOD]
victorious [IMPLY] silly [PERIOD]
alert [IMPLY] versatile [PERIOD]
alert [IMPLY] shy [PERIOD]
versatile [AND] silly [AND] precious [IMPLY] shy [PERIOD]
ambitious [IMPLY] light [PERIOD]
precious [AND] shy [AND] victorious [IMPLY] famous [PERIOD]
precious [IMPLY] homely [PERIOD]
famous [IMPLY] shy [PERIOD]
ambitious [AND] victorious [IMPLY] light [PERIOD]
smart [AND] shy [IMPLY] ambitious [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
   alert ⇒ versatile
   shy ∧ alert ∧ ambitious ⇒ bad-tempered
   versatile ∧ bad-tempered ∧ alert ⇒ precious
",1,3
"Facts:  Alice is intellectual [PERIOD] Alice is clean [PERIOD] Alice is disgusted [PERIOD]
Rules:
nervous [IMPLY] horrible [PERIOD]
stubborn [IMPLY] disgusted [PERIOD]
helpful [AND] thoughtless [IMPLY] frail [PERIOD]
ambitious [AND] tame [AND] witty [IMPLY] sensible [PERIOD]
ambitious [IMPLY] sensible [PERIOD]
disgusted [AND] sensible [AND] uptight [IMPLY] horrible [PERIOD]
stubborn [AND] thoughtless [IMPLY] tired [PERIOD]
bored [AND] aggressive [AND] thoughtless [IMPLY] grumpy [PERIOD]
witty [AND] horrible [IMPLY] hypocritical [PERIOD]
vivacious [IMPLY] impatient [PERIOD]
hypocritical [IMPLY] vivacious [PERIOD]
helpful [AND] rude [AND] ambitious [IMPLY] disgusted [PERIOD]
vivacious [AND] nervous [IMPLY] sensible [PERIOD]
disgusted [IMPLY] hypocritical [PERIOD]
tired [IMPLY] sensible [PERIOD]
stubborn [IMPLY] impatient [PERIOD]
helpful [AND] horrible [AND] disgusted [IMPLY] bored [PERIOD]
crowded [AND] frail [AND] sensible [IMPLY] aggressive [PERIOD]
stubborn [IMPLY] quaint [PERIOD]
stubborn [AND] serious [IMPLY] sensible [PERIOD]
crowded [IMPLY] ambitious [PERIOD]
uptight [AND] nervous [AND] intellectual [IMPLY] hypocritical [PERIOD]
disgusted [IMPLY] average [PERIOD]
ambitious [AND] quaint [AND] thoughtless [IMPLY] nervous [PERIOD]
nervous [AND] tired [AND] tame [IMPLY] uptight [PERIOD]
horrible [AND] supportive [AND] intellectual [IMPLY] helpful [PERIOD]
vivacious [IMPLY] nervous [PERIOD]
serious [IMPLY] clean [PERIOD]
Query: Alice is aggressive [PERIOD]","Proof chain:
   disgusted ⇒ hypocritical
   hypocritical ⇒ vivacious
   disgusted ⇒ hypocritical
   hypocritical ⇒ vivacious
   vivacious ⇒ nervous
   vivacious ∧ nervous ⇒ sensible
   Cannot apply rule “crowded ∧ frail ∧ sensible ⇒ aggressive” because missing: crowded, frail.
",0,7
"Facts:  Alice is bright [PERIOD] Alice is old-fashioned [PERIOD] Alice is fragile [PERIOD] Alice is fearless [PERIOD]
Rules:
old-fashioned [IMPLY] bright [PERIOD]
supportive [AND] weary [IMPLY] old-fashioned [PERIOD]
silly [AND] adorable [AND] wandering [IMPLY] fragile [PERIOD]
stormy [AND] talented [AND] adorable [IMPLY] enchanting [PERIOD]
stubborn [AND] fearless [IMPLY] beautiful [PERIOD]
different [AND] adorable [IMPLY] smart [PERIOD]
supportive [AND] careless [IMPLY] smart [PERIOD]
careless [IMPLY] weary [PERIOD]
loving [AND] attentive [IMPLY] enchanting [PERIOD]
hypocritical [AND] loving [IMPLY] different [PERIOD]
smart [AND] enchanting [IMPLY] horrible [PERIOD]
frail [AND] powerful [AND] pleasant [IMPLY] famous [PERIOD]
fragile [IMPLY] attentive [PERIOD]
adorable [AND] silly [IMPLY] careless [PERIOD]
different [AND] silly [IMPLY] talented [PERIOD]
stormy [AND] different [AND] bossy [IMPLY] beautiful [PERIOD]
weary [AND] loving [AND] adorable [IMPLY] different [PERIOD]
famous [AND] enchanting [IMPLY] wandering [PERIOD]
old-fashioned [IMPLY] talkative [PERIOD]
talented [AND] talkative [IMPLY] stubborn [PERIOD]
bright [AND] talkative [AND] enchanting [IMPLY] smart [PERIOD]
famous [IMPLY] careless [PERIOD]
smart [IMPLY] powerful [PERIOD]
bossy [AND] beautiful [AND] frail [IMPLY] supportive [PERIOD]
supportive [AND] stubborn [AND] fearless [IMPLY] weary [PERIOD]
fearless [AND] bossy [IMPLY] smart [PERIOD]
enchanting [IMPLY] frail [PERIOD]
talkative [AND] hypocritical [AND] different [IMPLY] stubborn [PERIOD]
stubborn [AND] careless [IMPLY] supportive [PERIOD]
stormy [AND] loving [AND] smart [IMPLY] stubborn [PERIOD]
fragile [AND] powerful [AND] bossy [IMPLY] loving [PERIOD]
talkative [AND] loving [IMPLY] talented [PERIOD]
attentive [AND] frail [IMPLY] loving [PERIOD]
stubborn [AND] horrible [AND] hypocritical [IMPLY] careless [PERIOD]
beautiful [AND] hypocritical [IMPLY] different [PERIOD]
bossy [IMPLY] horrible [PERIOD]
enchanting [AND] fragile [IMPLY] smart [PERIOD]
different [AND] weary [AND] talkative [IMPLY] wandering [PERIOD]
wandering [AND] fearless [AND] bright [IMPLY] beautiful [PERIOD]
old-fashioned [IMPLY] silly [PERIOD]
smart [IMPLY] frail [PERIOD]
weary [AND] careless [AND] smart [IMPLY] old-fashioned [PERIOD]
enchanting [IMPLY] silly [PERIOD]
stormy [IMPLY] smart [PERIOD]
old-fashioned [IMPLY] bossy [PERIOD]
hypocritical [AND] famous [IMPLY] smart [PERIOD]
talented [AND] fragile [AND] famous [IMPLY] hypocritical [PERIOD]
weary [AND] famous [IMPLY] supportive [PERIOD]
fearless [IMPLY] fragile [PERIOD]
bright [IMPLY] frail [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   old-fashioned ⇒ talkative
   fragile ⇒ attentive
   bright ⇒ frail
   attentive ∧ frail ⇒ loving
   talkative ∧ loving ⇒ talented
   old-fashioned ⇒ talkative
   talented ∧ talkative ⇒ stubborn
",1,7
"Facts:  Alice is good [PERIOD] Alice is witty [PERIOD] Alice is grumpy [PERIOD]
Rules:
homely [AND] spotless [IMPLY] good [PERIOD]
confused [AND] homely [IMPLY] fragile [PERIOD]
grumpy [IMPLY] easy [PERIOD]
spotless [IMPLY] weary [PERIOD]
dishonest [AND] proud [IMPLY] easy [PERIOD]
careless [AND] wide-eyed [IMPLY] weary [PERIOD]
fragile [AND] witty [IMPLY] rational [PERIOD]
spotless [AND] good [AND] stubborn [IMPLY] gorgeous [PERIOD]
easy [IMPLY] enchanting [PERIOD]
wide-eyed [AND] fragile [AND] broad-minded [IMPLY] confused [PERIOD]
clumsy [IMPLY] gorgeous [PERIOD]
fragile [AND] weary [IMPLY] homely [PERIOD]
careless [AND] broad-minded [AND] weary [IMPLY] enchanting [PERIOD]
weary [IMPLY] careless [PERIOD]
homely [AND] tame [IMPLY] careless [PERIOD]
rational [AND] ugly [IMPLY] stubborn [PERIOD]
homely [AND] horrible [IMPLY] confused [PERIOD]
ugly [AND] enchanting [IMPLY] gorgeous [PERIOD]
ugly [IMPLY] wide-eyed [PERIOD]
horrible [AND] careless [AND] broad-minded [IMPLY] stubborn [PERIOD]
confused [IMPLY] enchanting [PERIOD]
good [AND] proud [IMPLY] broad-minded [PERIOD]
witty [AND] horrible [IMPLY] weary [PERIOD]
witty [IMPLY] homely [PERIOD]
rational [AND] good [AND] homely [IMPLY] gorgeous [PERIOD]
horrible [AND] fragile [AND] witty [IMPLY] easy [PERIOD]
fragile [AND] weary [AND] spotless [IMPLY] gorgeous [PERIOD]
grumpy [IMPLY] stubborn [PERIOD]
homely [IMPLY] weary [PERIOD]
proud [IMPLY] clumsy [PERIOD]
broad-minded [AND] easy [AND] weary [IMPLY] confused [PERIOD]
easy [IMPLY] stubborn [PERIOD]
gorgeous [AND] grumpy [IMPLY] careless [PERIOD]
careless [IMPLY] spotless [PERIOD]
dishonest [AND] good [AND] confused [IMPLY] proud [PERIOD]
dishonest [IMPLY] wide-eyed [PERIOD]
tame [AND] weary [IMPLY] homely [PERIOD]
homely [AND] horrible [AND] tame [IMPLY] weary [PERIOD]
wide-eyed [AND] careless [IMPLY] rational [PERIOD]
broad-minded [AND] gorgeous [AND] grumpy [IMPLY] confused [PERIOD]
homely [AND] weary [IMPLY] easy [PERIOD]
dishonest [AND] ugly [AND] easy [IMPLY] good [PERIOD]
broad-minded [AND] fragile [IMPLY] grumpy [PERIOD]
horrible [IMPLY] ugly [PERIOD]
dishonest [IMPLY] gorgeous [PERIOD]
broad-minded [AND] wide-eyed [AND] tame [IMPLY] ugly [PERIOD]
horrible [IMPLY] broad-minded [PERIOD]
ugly [AND] careless [AND] proud [IMPLY] weary [PERIOD]
easy [AND] witty [AND] gorgeous [IMPLY] fragile [PERIOD]
stubborn [AND] broad-minded [AND] wide-eyed [IMPLY] confused [PERIOD]
grumpy [IMPLY] confused [PERIOD]
clumsy [AND] gorgeous [AND] good [IMPLY] proud [PERIOD]
fragile [IMPLY] dishonest [PERIOD]
homely [AND] proud [AND] weary [IMPLY] easy [PERIOD]
grumpy [IMPLY] wide-eyed [PERIOD]
horrible [AND] broad-minded [AND] witty [IMPLY] careless [PERIOD]
gorgeous [AND] weary [IMPLY] wide-eyed [PERIOD]
horrible [AND] broad-minded [IMPLY] clumsy [PERIOD]
broad-minded [AND] fragile [AND] ugly [IMPLY] horrible [PERIOD]
wide-eyed [AND] good [AND] fragile [IMPLY] horrible [PERIOD]
clumsy [IMPLY] fragile [PERIOD]
good [AND] ugly [AND] horrible [IMPLY] spotless [PERIOD]
grumpy [AND] dishonest [AND] rational [IMPLY] ugly [PERIOD]
careless [AND] weary [IMPLY] confused [PERIOD]
rational [AND] broad-minded [IMPLY] confused [PERIOD]
stubborn [AND] rational [IMPLY] proud [PERIOD]
dishonest [IMPLY] proud [PERIOD]
gorgeous [AND] rational [IMPLY] proud [PERIOD]
ugly [IMPLY] homely [PERIOD]
grumpy [AND] fragile [IMPLY] enchanting [PERIOD]
wide-eyed [AND] homely [AND] confused [IMPLY] careless [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   grumpy ⇒ wide-eyed
   grumpy ⇒ confused
   witty ⇒ homely
   confused ∧ homely ⇒ fragile
   wide-eyed ∧ good ∧ fragile ⇒ horrible
   horrible ⇒ ugly
",1,6
"Facts:  Alice is reserved [PERIOD] Alice is confident [PERIOD] Alice is excited [PERIOD] Alice is tired [PERIOD] Alice is selfish [PERIOD] Alice is straightforward [PERIOD] Alice is wrong [PERIOD]
Rules:
selfish [AND] jittery [AND] versatile [IMPLY] straightforward [PERIOD]
polite [AND] dull [IMPLY] talented [PERIOD]
plain [AND] talented [AND] outrageous [IMPLY] supportive [PERIOD]
fragile [AND] bright [IMPLY] reserved [PERIOD]
talented [AND] stubborn [AND] excited [IMPLY] reserved [PERIOD]
polite [IMPLY] reserved [PERIOD]
outrageous [AND] stubborn [IMPLY] wrong [PERIOD]
aggressive [IMPLY] supportive [PERIOD]
outrageous [AND] frightened [IMPLY] aggressive [PERIOD]
glamorous [IMPLY] dull [PERIOD]
outrageous [AND] disobedient [IMPLY] wrong [PERIOD]
bright [IMPLY] polite [PERIOD]
versatile [AND] tired [AND] talented [IMPLY] dull [PERIOD]
tired [AND] confident [IMPLY] frightened [PERIOD]
glamorous [AND] disobedient [IMPLY] stubborn [PERIOD]
fragile [AND] aggressive [AND] confident [IMPLY] plain [PERIOD]
aggressive [AND] confident [IMPLY] plain [PERIOD]
good [IMPLY] frightened [PERIOD]
jittery [AND] rational [IMPLY] tired [PERIOD]
selfish [AND] confident [IMPLY] good [PERIOD]
glamorous [IMPLY] plain [PERIOD]
selfish [IMPLY] unpleasant [PERIOD]
unpleasant [AND] confident [AND] glamorous [IMPLY] fragile [PERIOD]
frightened [IMPLY] rational [PERIOD]
outrageous [AND] frightened [IMPLY] stubborn [PERIOD]
Query: Alice is jittery [PERIOD]","Proof chain:
   No rule concludes “jittery.”
",0,1
"Facts:  Alice is victorious [PERIOD] Alice is silly [PERIOD] Alice is muddy [PERIOD]
Rules:
ugliest [AND] talented [AND] tidy [IMPLY] helpful [PERIOD]
tidy [AND] talkative [IMPLY] joyous [PERIOD]
difficult [AND] silly [AND] fragile [IMPLY] gorgeous [PERIOD]
reserved [IMPLY] confused [PERIOD]
disobedient [AND] spotless [IMPLY] thoughtless [PERIOD]
fragile [AND] ugliest [IMPLY] strange [PERIOD]
strange [AND] muddy [IMPLY] ambitious [PERIOD]
difficult [AND] confused [AND] talkative [IMPLY] fragile [PERIOD]
spotless [IMPLY] gorgeous [PERIOD]
ambitious [AND] tidy [IMPLY] ugliest [PERIOD]
mean [IMPLY] muddy [PERIOD]
busy [AND] tender [AND] silly [IMPLY] joyous [PERIOD]
light [IMPLY] reserved [PERIOD]
joyous [IMPLY] confused [PERIOD]
fragile [AND] ambitious [IMPLY] reserved [PERIOD]
tender [IMPLY] gorgeous [PERIOD]
talented [IMPLY] ambitious [PERIOD]
confused [AND] mean [IMPLY] ambitious [PERIOD]
tender [AND] busy [AND] joyous [IMPLY] gorgeous [PERIOD]
talkative [AND] tidy [IMPLY] light [PERIOD]
gorgeous [AND] talkative [IMPLY] ambitious [PERIOD]
fragile [IMPLY] confused [PERIOD]
silly [AND] disobedient [IMPLY] tidy [PERIOD]
ugliest [AND] ambitious [IMPLY] reserved [PERIOD]
difficult [AND] tidy [IMPLY] shy [PERIOD]
light [AND] disobedient [IMPLY] mean [PERIOD]
muddy [IMPLY] talkative [PERIOD]
thoughtless [AND] busy [IMPLY] fragile [PERIOD]
ugliest [AND] fragile [AND] tender [IMPLY] strange [PERIOD]
talented [AND] ugliest [AND] talkative [IMPLY] fragile [PERIOD]
helpful [AND] spotless [AND] joyous [IMPLY] confused [PERIOD]
difficult [AND] spotless [IMPLY] gorgeous [PERIOD]
talented [IMPLY] silly [PERIOD]
talented [AND] helpful [IMPLY] mean [PERIOD]
reserved [AND] difficult [IMPLY] talented [PERIOD]
gorgeous [AND] victorious [IMPLY] difficult [PERIOD]
spotless [AND] confused [AND] victorious [IMPLY] light [PERIOD]
tender [IMPLY] thoughtless [PERIOD]
disobedient [AND] strange [AND] tidy [IMPLY] light [PERIOD]
victorious [AND] muddy [AND] tidy [IMPLY] disobedient [PERIOD]
helpful [AND] talkative [AND] ambitious [IMPLY] light [PERIOD]
silly [AND] difficult [IMPLY] victorious [PERIOD]
fragile [AND] difficult [AND] strange [IMPLY] helpful [PERIOD]
talkative [IMPLY] ambitious [PERIOD]
confused [AND] busy [AND] reserved [IMPLY] talkative [PERIOD]
talkative [AND] light [AND] tender [IMPLY] victorious [PERIOD]
disobedient [IMPLY] ambitious [PERIOD]
shy [AND] fragile [AND] light [IMPLY] helpful [PERIOD]
victorious [AND] tidy [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] thoughtless [PERIOD]
mean [AND] spotless [IMPLY] talented [PERIOD]
mean [IMPLY] light [PERIOD]
light [AND] ambitious [IMPLY] disobedient [PERIOD]
victorious [AND] tender [IMPLY] light [PERIOD]
gorgeous [AND] ugliest [AND] helpful [IMPLY] reserved [PERIOD]
mean [AND] disobedient [IMPLY] spotless [PERIOD]
tender [AND] ambitious [IMPLY] shy [PERIOD]
victorious [AND] strange [IMPLY] mean [PERIOD]
strange [AND] tender [IMPLY] talkative [PERIOD]
fragile [IMPLY] talented [PERIOD]
thoughtless [IMPLY] ugliest [PERIOD]
tidy [AND] difficult [AND] victorious [IMPLY] talented [PERIOD]
confused [AND] ugliest [IMPLY] talkative [PERIOD]
talkative [AND] ambitious [AND] tidy [IMPLY] helpful [PERIOD]
difficult [AND] spotless [IMPLY] strange [PERIOD]
talkative [AND] difficult [AND] shy [IMPLY] busy [PERIOD]
ambitious [AND] joyous [IMPLY] muddy [PERIOD]
busy [AND] fragile [IMPLY] joyous [PERIOD]
muddy [IMPLY] silly [PERIOD]
joyous [AND] disobedient [AND] busy [IMPLY] thoughtless [PERIOD]
difficult [IMPLY] busy [PERIOD]
joyous [IMPLY] ugliest [PERIOD]
reserved [IMPLY] strange [PERIOD]
talkative [AND] strange [AND] confused [IMPLY] ugliest [PERIOD]
talented [IMPLY] reserved [PERIOD]
strange [IMPLY] spotless [PERIOD]
victorious [AND] ugliest [AND] shy [IMPLY] muddy [PERIOD]
light [IMPLY] silly [PERIOD]
ugliest [IMPLY] ambitious [PERIOD]
ambitious [AND] talented [IMPLY] tidy [PERIOD]
joyous [AND] spotless [IMPLY] strange [PERIOD]
silly [AND] reserved [AND] talented [IMPLY] confused [PERIOD]
mean [AND] gorgeous [IMPLY] confused [PERIOD]
light [AND] talented [AND] mean [IMPLY] busy [PERIOD]
confused [AND] silly [AND] fragile [IMPLY] helpful [PERIOD]
reserved [IMPLY] joyous [PERIOD]
light [IMPLY] gorgeous [PERIOD]
shy [AND] gorgeous [AND] confused [IMPLY] strange [PERIOD]
strange [AND] joyous [AND] shy [IMPLY] ambitious [PERIOD]
confused [IMPLY] ambitious [PERIOD]
light [AND] muddy [IMPLY] confused [PERIOD]
tender [AND] spotless [IMPLY] talkative [PERIOD]
disobedient [IMPLY] helpful [PERIOD]
strange [AND] thoughtless [AND] busy [IMPLY] shy [PERIOD]
tidy [AND] tender [IMPLY] confused [PERIOD]
shy [AND] gorgeous [AND] talkative [IMPLY] spotless [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “disobedient ∧ spotless ⇒ thoughtless” because missing: disobedient, spotless.
   Cannot apply rule “tender ⇒ thoughtless” because missing: tender.
   Cannot apply rule “disobedient ⇒ thoughtless” because missing: disobedient.
   Cannot apply rule “joyous ∧ disobedient ∧ busy ⇒ thoughtless” because missing: joyous, disobedient, busy.
",0,4
"Facts:  Alice is nervous [PERIOD] Alice is stormy [PERIOD] Alice is charming [PERIOD]
Rules:
attractive [AND] serious [IMPLY] attentive [PERIOD]
strange [IMPLY] attractive [PERIOD]
sleepy [AND] old-fashioned [AND] fancy [IMPLY] charming [PERIOD]
rational [IMPLY] strange [PERIOD]
perfect [AND] strange [AND] old-fashioned [IMPLY] charming [PERIOD]
witty [AND] proud [AND] joyous [IMPLY] attentive [PERIOD]
disobedient [AND] strange [IMPLY] attentive [PERIOD]
fancy [AND] distinct [IMPLY] proud [PERIOD]
attractive [AND] attentive [AND] frantic [IMPLY] straightforward [PERIOD]
attentive [AND] distinct [IMPLY] strange [PERIOD]
straightforward [IMPLY] fancy [PERIOD]
disobedient [IMPLY] witty [PERIOD]
old-fashioned [AND] messy [AND] proud [IMPLY] bright [PERIOD]
strange [AND] frantic [IMPLY] charming [PERIOD]
fancy [AND] messy [AND] frantic [IMPLY] attractive [PERIOD]
stubborn [AND] unpleasant [AND] perfect [IMPLY] disobedient [PERIOD]
stubborn [AND] stormy [IMPLY] proud [PERIOD]
witty [IMPLY] tired [PERIOD]
old-fashioned [IMPLY] tired [PERIOD]
straightforward [AND] stubborn [AND] attractive [IMPLY] attentive [PERIOD]
joyous [IMPLY] straightforward [PERIOD]
unpleasant [AND] attractive [AND] old-fashioned [IMPLY] charming [PERIOD]
messy [AND] exuberant [AND] good [IMPLY] serious [PERIOD]
old-fashioned [AND] witty [IMPLY] joyous [PERIOD]
old-fashioned [AND] joyous [IMPLY] witty [PERIOD]
bright [IMPLY] stormy [PERIOD]
old-fashioned [AND] fancy [IMPLY] sleepy [PERIOD]
rational [AND] sleepy [AND] nervous [IMPLY] perfect [PERIOD]
proud [AND] exuberant [AND] joyous [IMPLY] rational [PERIOD]
tired [AND] bright [IMPLY] hurt [PERIOD]
rational [IMPLY] proud [PERIOD]
straightforward [AND] strange [AND] stubborn [IMPLY] distinct [PERIOD]
frantic [AND] stubborn [IMPLY] witty [PERIOD]
frantic [IMPLY] joyous [PERIOD]
messy [AND] hurt [IMPLY] disobedient [PERIOD]
tired [AND] hurt [IMPLY] frantic [PERIOD]
exuberant [AND] fancy [AND] distinct [IMPLY] rational [PERIOD]
messy [AND] distinct [IMPLY] attentive [PERIOD]
straightforward [AND] tired [IMPLY] proud [PERIOD]
straightforward [AND] proud [AND] bright [IMPLY] sleepy [PERIOD]
perfect [AND] exuberant [IMPLY] proud [PERIOD]
good [IMPLY] joyous [PERIOD]
rational [AND] stubborn [AND] proud [IMPLY] messy [PERIOD]
serious [IMPLY] stubborn [PERIOD]
bright [AND] perfect [IMPLY] straightforward [PERIOD]
strange [AND] messy [AND] disobedient [IMPLY] witty [PERIOD]
sleepy [IMPLY] proud [PERIOD]
perfect [IMPLY] hurt [PERIOD]
attractive [AND] disobedient [IMPLY] rational [PERIOD]
fancy [IMPLY] attractive [PERIOD]
attractive [IMPLY] bright [PERIOD]
messy [AND] nervous [AND] old-fashioned [IMPLY] proud [PERIOD]
bright [AND] straightforward [AND] exuberant [IMPLY] strange [PERIOD]
rational [IMPLY] tired [PERIOD]
bright [AND] hurt [AND] strange [IMPLY] frantic [PERIOD]
sleepy [AND] good [IMPLY] bright [PERIOD]
stormy [AND] proud [IMPLY] rational [PERIOD]
exuberant [AND] hurt [AND] proud [IMPLY] joyous [PERIOD]
joyous [AND] charming [IMPLY] tired [PERIOD]
attentive [AND] witty [IMPLY] good [PERIOD]
attractive [AND] proud [IMPLY] unpleasant [PERIOD]
witty [AND] messy [IMPLY] strange [PERIOD]
disobedient [AND] hurt [IMPLY] frantic [PERIOD]
stubborn [IMPLY] joyous [PERIOD]
good [IMPLY] old-fashioned [PERIOD]
frantic [IMPLY] fancy [PERIOD]
old-fashioned [AND] attractive [IMPLY] straightforward [PERIOD]
stubborn [IMPLY] messy [PERIOD]
serious [AND] attractive [AND] charming [IMPLY] hurt [PERIOD]
nervous [AND] stubborn [IMPLY] messy [PERIOD]
good [AND] bright [AND] disobedient [IMPLY] sleepy [PERIOD]
proud [AND] fancy [AND] old-fashioned [IMPLY] witty [PERIOD]
attentive [AND] bright [IMPLY] attractive [PERIOD]
stubborn [IMPLY] tired [PERIOD]
serious [AND] rational [AND] nervous [IMPLY] attractive [PERIOD]
straightforward [AND] good [AND] nervous [IMPLY] stubborn [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   Cannot apply rule “strange ⇒ attractive” because missing: strange.
   Cannot apply rule “fancy ∧ messy ∧ frantic ⇒ attractive” because missing: fancy, messy, frantic.
   Cannot apply rule “fancy ⇒ attractive” because missing: fancy.
   Cannot apply rule “attentive ∧ bright ⇒ attractive” because missing: attentive, bright.
   Cannot apply rule “serious ∧ rational ∧ nervous ⇒ attractive” because missing: serious, rational.
",0,5
"Facts:  Alice is tired [PERIOD] Alice is cute [PERIOD] Alice is helpless [PERIOD] Alice is hurt [PERIOD] Alice is bored [PERIOD] Alice is pleasant [PERIOD] Alice is sincere [PERIOD] Alice is worrisome [PERIOD]
Rules:
pleasant [AND] bored [AND] busy [IMPLY] tired [PERIOD]
helpless [IMPLY] enchanting [PERIOD]
enchanting [AND] bored [AND] worrisome [IMPLY] helpless [PERIOD]
pleasant [IMPLY] nervous [PERIOD]
enchanting [IMPLY] helpless [PERIOD]
helpless [AND] worrisome [IMPLY] wandering [PERIOD]
sincere [AND] confused [IMPLY] nervous [PERIOD]
nervous [AND] pleasant [AND] bored [IMPLY] tired [PERIOD]
helpless [IMPLY] pleasant [PERIOD]
hurt [IMPLY] cute [PERIOD]
helpless [AND] sincere [AND] pleasant [IMPLY] confused [PERIOD]
worrisome [AND] cute [IMPLY] helpless [PERIOD]
cute [AND] sincere [AND] hurt [IMPLY] busy [PERIOD]
pleasant [AND] confused [IMPLY] bored [PERIOD]
worrisome [IMPLY] enchanting [PERIOD]
helpless [AND] nervous [IMPLY] confused [PERIOD]
bored [IMPLY] tired [PERIOD]
enchanting [IMPLY] pleasant [PERIOD]
wandering [AND] worrisome [IMPLY] confused [PERIOD]
helpless [AND] bored [AND] enchanting [IMPLY] busy [PERIOD]
bored [AND] hurt [IMPLY] worrisome [PERIOD]
bored [AND] sincere [AND] nervous [IMPLY] busy [PERIOD]
confused [IMPLY] wandering [PERIOD]
busy [AND] cute [IMPLY] confused [PERIOD]
bored [AND] sincere [AND] cute [IMPLY] busy [PERIOD]
worrisome [IMPLY] cute [PERIOD]
tired [AND] hurt [IMPLY] cute [PERIOD]
sincere [AND] pleasant [IMPLY] cute [PERIOD]
busy [AND] cute [AND] tired [IMPLY] worrisome [PERIOD]
nervous [AND] confused [AND] helpless [IMPLY] cute [PERIOD]
confused [IMPLY] cute [PERIOD]
sincere [AND] hurt [AND] bored [IMPLY] enchanting [PERIOD]
wandering [AND] nervous [IMPLY] pleasant [PERIOD]
enchanting [IMPLY] cute [PERIOD]
tired [AND] sincere [AND] pleasant [IMPLY] wandering [PERIOD]
bored [AND] enchanting [AND] busy [IMPLY] tired [PERIOD]
enchanting [AND] cute [IMPLY] worrisome [PERIOD]
worrisome [AND] hurt [AND] sincere [IMPLY] cute [PERIOD]
hurt [IMPLY] bored [PERIOD]
Query: Alice is wandering [PERIOD]","Proof chain:
   tired ∧ sincere ∧ pleasant ⇒ wandering
",1,1
"Facts:  Alice is intellectual [PERIOD]
Rules:
ugliest [AND] tired [IMPLY] pessimistic [PERIOD]
sincere [AND] supportive [IMPLY] confused [PERIOD]
fearless [IMPLY] gorgeous [PERIOD]
reserved [AND] supportive [AND] diplomatic [IMPLY] gorgeous [PERIOD]
supportive [AND] ugliest [IMPLY] diplomatic [PERIOD]
ugliest [AND] calm [IMPLY] tired [PERIOD]
supportive [AND] gorgeous [IMPLY] victorious [PERIOD]
calm [AND] supportive [IMPLY] diplomatic [PERIOD]
Query: Alice is tired [PERIOD]","Proof chain:
   Cannot apply rule “ugliest ∧ calm ⇒ tired” because missing: ugliest, calm.
",0,1
"Facts:  Alice is inquisitive [PERIOD] Alice is embarrassed [PERIOD] Alice is jittery [PERIOD] Alice is hypocritical [PERIOD] Alice is victorious [PERIOD]
Rules:
strange [AND] hypocritical [AND] thoughtful [IMPLY] witty [PERIOD]
anxious [IMPLY] condemned [PERIOD]
broad-minded [IMPLY] strange [PERIOD]
thoughtful [AND] hypocritical [IMPLY] anxious [PERIOD]
smart [AND] strange [AND] proud [IMPLY] thoughtful [PERIOD]
victorious [AND] pessimistic [AND] smart [IMPLY] embarrassed [PERIOD]
pessimistic [AND] jittery [IMPLY] witty [PERIOD]
pessimistic [IMPLY] embarrassed [PERIOD]
pessimistic [AND] jittery [AND] unpleasant [IMPLY] victorious [PERIOD]
smart [AND] distinct [IMPLY] unpleasant [PERIOD]
frightened [AND] pessimistic [IMPLY] muddy [PERIOD]
anxious [AND] frantic [IMPLY] distinct [PERIOD]
anxious [AND] distinct [IMPLY] pessimistic [PERIOD]
frightened [IMPLY] strange [PERIOD]
witty [IMPLY] distinct [PERIOD]
muddy [IMPLY] frightened [PERIOD]
jittery [IMPLY] muddy [PERIOD]
thoughtful [AND] strange [IMPLY] witty [PERIOD]
smart [AND] weary [AND] enchanting [IMPLY] condemned [PERIOD]
smart [AND] pessimistic [IMPLY] distinct [PERIOD]
anxious [AND] broad-minded [IMPLY] enchanting [PERIOD]
jittery [AND] unpleasant [AND] thoughtful [IMPLY] distinct [PERIOD]
frightened [AND] proud [IMPLY] frantic [PERIOD]
condemned [AND] broad-minded [IMPLY] pessimistic [PERIOD]
thoughtful [AND] frantic [AND] muddy [IMPLY] hypocritical [PERIOD]
broad-minded [AND] victorious [IMPLY] strange [PERIOD]
thoughtful [AND] unpleasant [AND] frantic [IMPLY] smart [PERIOD]
jittery [AND] pessimistic [IMPLY] inquisitive [PERIOD]
distinct [AND] broad-minded [IMPLY] victorious [PERIOD]
inquisitive [IMPLY] strange [PERIOD]
frightened [AND] muddy [AND] thoughtful [IMPLY] unpleasant [PERIOD]
smart [AND] pessimistic [AND] victorious [IMPLY] witty [PERIOD]
embarrassed [IMPLY] weary [PERIOD]
hypocritical [IMPLY] anxious [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   hypocritical ⇒ anxious
   Cannot apply rule “anxious ∧ distinct ⇒ pessimistic” because missing: distinct.
   hypocritical ⇒ anxious
   anxious ⇒ condemned
   Cannot apply rule “condemned ∧ broad-minded ⇒ pessimistic” because missing: broad-minded.
",0,5
"Facts:  Alice is nervous [PERIOD] Alice is impatient [PERIOD]
Rules:
pleasant [IMPLY] hurt [PERIOD]
nervous [IMPLY] rational [PERIOD]
serious [IMPLY] hurt [PERIOD]
impatient [AND] ambitious [IMPLY] hurt [PERIOD]
selfish [AND] impatient [AND] supportive [IMPLY] victorious [PERIOD]
supportive [AND] impatient [IMPLY] victorious [PERIOD]
serious [AND] horrible [AND] selfish [IMPLY] nervous [PERIOD]
hypocritical [AND] nervous [IMPLY] rational [PERIOD]
supportive [AND] nervous [IMPLY] impatient [PERIOD]
ambitious [IMPLY] rational [PERIOD]
intellectual [IMPLY] serious [PERIOD]
plain [IMPLY] victorious [PERIOD]
victorious [AND] hurt [AND] hypocritical [IMPLY] rational [PERIOD]
pleasant [AND] plain [IMPLY] horrible [PERIOD]
ambitious [IMPLY] horrible [PERIOD]
impatient [AND] loving [IMPLY] serious [PERIOD]
hypocritical [AND] supportive [IMPLY] rational [PERIOD]
serious [AND] attractive [IMPLY] hurt [PERIOD]
hurt [AND] intellectual [AND] horrible [IMPLY] serious [PERIOD]
plain [AND] intellectual [AND] selfish [IMPLY] hypocritical [PERIOD]
selfish [AND] hypocritical [IMPLY] attractive [PERIOD]
horrible [AND] supportive [IMPLY] plain [PERIOD]
nervous [IMPLY] hurt [PERIOD]
horrible [AND] hurt [IMPLY] hypocritical [PERIOD]
attractive [IMPLY] rational [PERIOD]
serious [AND] rational [IMPLY] pleasant [PERIOD]
loving [AND] impatient [IMPLY] attractive [PERIOD]
horrible [AND] ambitious [IMPLY] loving [PERIOD]
ambitious [AND] hurt [AND] supportive [IMPLY] nervous [PERIOD]
attractive [IMPLY] ambitious [PERIOD]
pleasant [AND] attractive [AND] impatient [IMPLY] loving [PERIOD]
serious [AND] supportive [AND] rational [IMPLY] intellectual [PERIOD]
hurt [AND] loving [AND] horrible [IMPLY] supportive [PERIOD]
hurt [AND] victorious [AND] supportive [IMPLY] plain [PERIOD]
ambitious [AND] hypocritical [IMPLY] hurt [PERIOD]
plain [AND] pleasant [AND] victorious [IMPLY] ambitious [PERIOD]
serious [AND] rational [IMPLY] ambitious [PERIOD]
serious [AND] impatient [IMPLY] intellectual [PERIOD]
plain [IMPLY] hurt [PERIOD]
pleasant [AND] nervous [AND] loving [IMPLY] supportive [PERIOD]
supportive [AND] ambitious [IMPLY] pleasant [PERIOD]
victorious [AND] nervous [AND] hurt [IMPLY] plain [PERIOD]
nervous [IMPLY] plain [PERIOD]
ambitious [AND] hypocritical [AND] horrible [IMPLY] plain [PERIOD]
impatient [AND] pleasant [AND] hypocritical [IMPLY] loving [PERIOD]
supportive [AND] hurt [IMPLY] selfish [PERIOD]
supportive [AND] loving [AND] hurt [IMPLY] horrible [PERIOD]
hypocritical [AND] ambitious [AND] supportive [IMPLY] victorious [PERIOD]
supportive [AND] rational [AND] attractive [IMPLY] hurt [PERIOD]
rational [AND] intellectual [IMPLY] plain [PERIOD]
attractive [AND] horrible [IMPLY] plain [PERIOD]
intellectual [AND] nervous [AND] selfish [IMPLY] serious [PERIOD]
loving [IMPLY] plain [PERIOD]
plain [AND] horrible [AND] loving [IMPLY] supportive [PERIOD]
hurt [AND] supportive [AND] selfish [IMPLY] loving [PERIOD]
selfish [AND] nervous [IMPLY] serious [PERIOD]
rational [IMPLY] intellectual [PERIOD]
plain [AND] ambitious [IMPLY] serious [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   nervous ⇒ rational
   rational ⇒ intellectual
   intellectual ⇒ serious
   nervous ⇒ rational
   serious ∧ rational ⇒ ambitious
   ambitious ⇒ horrible
",1,6
"Facts:  Alice is versatile [PERIOD] Alice is pessimistic [PERIOD] Alice is busy [PERIOD] Alice is lonely [PERIOD] Alice is innocent [PERIOD] Alice is attentive [PERIOD] Alice is cute [PERIOD]
Rules:
versatile [AND] sincere [IMPLY] outstanding [PERIOD]
cute [AND] calm [AND] pessimistic [IMPLY] glamorous [PERIOD]
aggressive [AND] homely [IMPLY] calm [PERIOD]
outstanding [IMPLY] inexpensive [PERIOD]
busy [AND] versatile [IMPLY] outstanding [PERIOD]
glamorous [IMPLY] tidy [PERIOD]
versatile [AND] homely [AND] cute [IMPLY] calm [PERIOD]
homely [AND] aggressive [AND] bad-tempered [IMPLY] outstanding [PERIOD]
sincere [AND] bad-tempered [AND] calm [IMPLY] attentive [PERIOD]
versatile [IMPLY] inexpensive [PERIOD]
aggressive [AND] attentive [AND] tidy [IMPLY] broad-minded [PERIOD]
dull [AND] aggressive [IMPLY] innocent [PERIOD]
busy [AND] attentive [IMPLY] calm [PERIOD]
tidy [AND] inexpensive [IMPLY] calm [PERIOD]
calm [AND] attentive [AND] bad-tempered [IMPLY] clean [PERIOD]
glamorous [IMPLY] innocent [PERIOD]
broad-minded [AND] calm [AND] sincere [IMPLY] versatile [PERIOD]
broad-minded [AND] inexpensive [AND] sincere [IMPLY] clean [PERIOD]
outstanding [AND] busy [AND] pessimistic [IMPLY] homely [PERIOD]
outstanding [AND] broad-minded [AND] clean [IMPLY] tidy [PERIOD]
outstanding [AND] glamorous [IMPLY] innocent [PERIOD]
lonely [AND] glamorous [IMPLY] outstanding [PERIOD]
aggressive [AND] glamorous [IMPLY] cute [PERIOD]
calm [AND] innocent [IMPLY] broad-minded [PERIOD]
bad-tempered [AND] outstanding [AND] tidy [IMPLY] attentive [PERIOD]
sincere [IMPLY] versatile [PERIOD]
cute [IMPLY] tidy [PERIOD]
bad-tempered [AND] outstanding [IMPLY] aggressive [PERIOD]
dull [AND] clean [IMPLY] tidy [PERIOD]
aggressive [IMPLY] bad-tempered [PERIOD]
innocent [IMPLY] bad-tempered [PERIOD]
lonely [AND] broad-minded [IMPLY] cute [PERIOD]
innocent [AND] glamorous [AND] outstanding [IMPLY] lonely [PERIOD]
pessimistic [AND] aggressive [AND] homely [IMPLY] innocent [PERIOD]
aggressive [AND] clean [AND] sincere [IMPLY] innocent [PERIOD]
busy [IMPLY] glamorous [PERIOD]
versatile [AND] busy [IMPLY] glamorous [PERIOD]
clean [AND] versatile [IMPLY] broad-minded [PERIOD]
versatile [AND] calm [IMPLY] homely [PERIOD]
lonely [AND] attentive [AND] dull [IMPLY] inexpensive [PERIOD]
bad-tempered [AND] clean [IMPLY] aggressive [PERIOD]
dull [AND] bad-tempered [IMPLY] aggressive [PERIOD]
aggressive [AND] attentive [IMPLY] busy [PERIOD]
pessimistic [AND] innocent [AND] inexpensive [IMPLY] bad-tempered [PERIOD]
calm [IMPLY] attentive [PERIOD]
lonely [IMPLY] busy [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   busy ∧ attentive ⇒ calm
   versatile ∧ calm ⇒ homely
",1,2
"Facts:  Alice is proud [PERIOD] Alice is attractive [PERIOD] Alice is intellectual [PERIOD] Alice is agreeable [PERIOD] Alice is curious [PERIOD] Alice is frantic [PERIOD] Alice is weary [PERIOD] Alice is powerful [PERIOD]
Rules:
proud [AND] plain [IMPLY] ugliest [PERIOD]
frantic [AND] plain [IMPLY] weary [PERIOD]
agreeable [AND] plain [AND] weary [IMPLY] powerful [PERIOD]
weary [AND] frantic [IMPLY] plain [PERIOD]
zealous [AND] proud [AND] ugliest [IMPLY] powerful [PERIOD]
attractive [AND] proud [AND] dishonest [IMPLY] ugliest [PERIOD]
plain [AND] clumsy [IMPLY] frantic [PERIOD]
proud [IMPLY] intellectual [PERIOD]
frantic [IMPLY] intellectual [PERIOD]
weary [AND] clumsy [AND] attractive [IMPLY] curious [PERIOD]
clumsy [IMPLY] zealous [PERIOD]
frantic [AND] weary [AND] curious [IMPLY] ugliest [PERIOD]
clumsy [AND] ugliest [AND] curious [IMPLY] proud [PERIOD]
agreeable [AND] proud [IMPLY] curious [PERIOD]
ugliest [AND] powerful [AND] dishonest [IMPLY] attractive [PERIOD]
proud [IMPLY] clumsy [PERIOD]
powerful [IMPLY] weary [PERIOD]
proud [AND] attractive [IMPLY] weary [PERIOD]
attractive [AND] clumsy [IMPLY] powerful [PERIOD]
powerful [IMPLY] intellectual [PERIOD]
powerful [AND] frantic [IMPLY] zealous [PERIOD]
weary [AND] curious [IMPLY] powerful [PERIOD]
curious [IMPLY] clumsy [PERIOD]
curious [IMPLY] agreeable [PERIOD]
dishonest [AND] proud [AND] ugliest [IMPLY] agreeable [PERIOD]
frantic [AND] clumsy [AND] intellectual [IMPLY] curious [PERIOD]
dishonest [IMPLY] weary [PERIOD]
plain [AND] weary [IMPLY] proud [PERIOD]
powerful [IMPLY] attractive [PERIOD]
attractive [AND] plain [AND] frantic [IMPLY] ugliest [PERIOD]
weary [AND] clumsy [IMPLY] agreeable [PERIOD]
proud [AND] dishonest [AND] curious [IMPLY] agreeable [PERIOD]
proud [AND] curious [IMPLY] clumsy [PERIOD]
plain [AND] curious [AND] weary [IMPLY] agreeable [PERIOD]
attractive [AND] ugliest [AND] agreeable [IMPLY] frantic [PERIOD]
plain [AND] powerful [AND] ugliest [IMPLY] dishonest [PERIOD]
curious [AND] agreeable [IMPLY] zealous [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   weary ∧ frantic ⇒ plain
   frantic ∧ weary ∧ curious ⇒ ugliest
   plain ∧ powerful ∧ ugliest ⇒ dishonest
",1,3
"Facts:  Alice is helpful [PERIOD] Alice is gorgeous [PERIOD] Alice is jittery [PERIOD] Alice is courageous [PERIOD] Alice is silly [PERIOD] Alice is straightforward [PERIOD] Alice is zealous [PERIOD] Alice is unpleasant [PERIOD] Alice is good [PERIOD] Alice is outstanding [PERIOD] Alice is tame [PERIOD] Alice is rational [PERIOD] Alice is polite [PERIOD] Alice is strange [PERIOD] Alice is exuberant [PERIOD] Alice is stubborn [PERIOD] Alice is impatient [PERIOD] Alice is alert [PERIOD] Alice is different [PERIOD]
Rules:
exuberant [AND] stubborn [IMPLY] clean [PERIOD]
helpful [AND] straightforward [AND] exuberant [IMPLY] good [PERIOD]
outstanding [AND] gorgeous [IMPLY] fragile [PERIOD]
embarrassed [AND] old-fashioned [AND] victorious [IMPLY] tame [PERIOD]
fragile [IMPLY] silly [PERIOD]
exuberant [AND] gorgeous [AND] different [IMPLY] tame [PERIOD]
impatient [IMPLY] strange [PERIOD]
courageous [AND] outstanding [AND] straightforward [IMPLY] helpful [PERIOD]
silly [AND] polite [IMPLY] stubborn [PERIOD]
tame [AND] fragile [AND] different [IMPLY] gorgeous [PERIOD]
rational [AND] courageous [AND] frightened [IMPLY] stubborn [PERIOD]
frightened [IMPLY] polite [PERIOD]
jittery [AND] different [IMPLY] polite [PERIOD]
exuberant [AND] tender [AND] different [IMPLY] straightforward [PERIOD]
strange [IMPLY] gorgeous [PERIOD]
fragile [AND] impatient [IMPLY] good [PERIOD]
tender [AND] rational [AND] tame [IMPLY] impatient [PERIOD]
stubborn [AND] helpful [AND] fragile [IMPLY] tender [PERIOD]
different [IMPLY] courageous [PERIOD]
fragile [AND] victorious [AND] helpful [IMPLY] silly [PERIOD]
tender [IMPLY] courageous [PERIOD]
exuberant [AND] impatient [AND] strange [IMPLY] straightforward [PERIOD]
strange [AND] jittery [IMPLY] zealous [PERIOD]
rational [IMPLY] outstanding [PERIOD]
unpleasant [AND] embarrassed [IMPLY] polite [PERIOD]
victorious [AND] impatient [IMPLY] clean [PERIOD]
polite [AND] straightforward [AND] alert [IMPLY] gorgeous [PERIOD]
courageous [AND] strange [IMPLY] gorgeous [PERIOD]
exuberant [AND] jittery [IMPLY] different [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is popular [PERIOD] Alice is precious [PERIOD]
Rules:
gifted [AND] horrible [AND] attractive [IMPLY] difficult [PERIOD]
worried [AND] popular [IMPLY] serious [PERIOD]
gifted [AND] precious [IMPLY] nervous [PERIOD]
frail [AND] impartial [AND] shy [IMPLY] comfortable [PERIOD]
serious [AND] courageous [AND] frail [IMPLY] versatile [PERIOD]
difficult [AND] comfortable [AND] sleepy [IMPLY] popular [PERIOD]
courageous [IMPLY] sleepy [PERIOD]
shy [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] attractive [PERIOD]
courageous [AND] gorgeous [IMPLY] gifted [PERIOD]
precious [IMPLY] versatile [PERIOD]
popular [IMPLY] nervous [PERIOD]
old-fashioned [AND] glamorous [IMPLY] popular [PERIOD]
attractive [IMPLY] frail [PERIOD]
precious [AND] attractive [IMPLY] glamorous [PERIOD]
serious [IMPLY] popular [PERIOD]
horrible [IMPLY] attractive [PERIOD]
courageous [IMPLY] gorgeous [PERIOD]
impartial [AND] serious [AND] sleepy [IMPLY] courageous [PERIOD]
nervous [IMPLY] sleepy [PERIOD]
frail [AND] plain [AND] popular [IMPLY] comfortable [PERIOD]
worried [AND] old-fashioned [IMPLY] shy [PERIOD]
blushing [AND] serious [AND] horrible [IMPLY] popular [PERIOD]
sleepy [IMPLY] attractive [PERIOD]
glamorous [IMPLY] gifted [PERIOD]
impartial [AND] precious [AND] gorgeous [IMPLY] attractive [PERIOD]
serious [IMPLY] courageous [PERIOD]
gifted [AND] glamorous [IMPLY] versatile [PERIOD]
nervous [IMPLY] impartial [PERIOD]
versatile [AND] horrible [IMPLY] plain [PERIOD]
versatile [IMPLY] difficult [PERIOD]
blushing [IMPLY] courageous [PERIOD]
sleepy [AND] precious [IMPLY] versatile [PERIOD]
nervous [AND] gifted [AND] horrible [IMPLY] difficult [PERIOD]
old-fashioned [AND] popular [IMPLY] sleepy [PERIOD]
gorgeous [AND] blushing [IMPLY] impartial [PERIOD]
horrible [IMPLY] courageous [PERIOD]
glamorous [AND] nervous [AND] popular [IMPLY] courageous [PERIOD]
worried [AND] serious [AND] frail [IMPLY] comfortable [PERIOD]
precious [AND] versatile [IMPLY] gorgeous [PERIOD]
courageous [IMPLY] attractive [PERIOD]
versatile [AND] serious [AND] worried [IMPLY] gorgeous [PERIOD]
attractive [IMPLY] difficult [PERIOD]
impartial [AND] serious [AND] versatile [IMPLY] popular [PERIOD]
courageous [IMPLY] impartial [PERIOD]
gifted [AND] difficult [AND] impartial [IMPLY] courageous [PERIOD]
popular [AND] courageous [IMPLY] plain [PERIOD]
precious [AND] shy [IMPLY] blushing [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   popular ⇒ nervous
   nervous ⇒ impartial
   precious ⇒ versatile
   precious ∧ versatile ⇒ gorgeous
   impartial ∧ precious ∧ gorgeous ⇒ attractive
",1,5
"Facts:  Alice is rational [PERIOD] Alice is blushing [PERIOD]
Rules:
elegant [IMPLY] homely [PERIOD]
clumsy [AND] blushing [AND] modern [IMPLY] sleepy [PERIOD]
homely [IMPLY] modern [PERIOD]
bright [AND] ugly [IMPLY] long [PERIOD]
clumsy [AND] modern [IMPLY] bright [PERIOD]
elegant [IMPLY] scared [PERIOD]
troubled [IMPLY] blushing [PERIOD]
modern [AND] blushing [IMPLY] elegant [PERIOD]
clumsy [AND] rational [IMPLY] modern [PERIOD]
clumsy [AND] modern [IMPLY] rational [PERIOD]
bright [AND] long [IMPLY] ugly [PERIOD]
modern [IMPLY] scared [PERIOD]
long [IMPLY] troubled [PERIOD]
bright [AND] selfish [AND] sleepy [IMPLY] ugly [PERIOD]
homely [IMPLY] blushing [PERIOD]
homely [AND] long [IMPLY] elegant [PERIOD]
blushing [IMPLY] long [PERIOD]
troubled [IMPLY] modern [PERIOD]
ugly [AND] troubled [AND] homely [IMPLY] long [PERIOD]
ugly [IMPLY] long [PERIOD]
homely [AND] troubled [IMPLY] sleepy [PERIOD]
sleepy [AND] ugly [AND] troubled [IMPLY] modern [PERIOD]
elegant [IMPLY] selfish [PERIOD]
homely [IMPLY] long [PERIOD]
rational [AND] blushing [AND] sleepy [IMPLY] clumsy [PERIOD]
sleepy [AND] selfish [IMPLY] long [PERIOD]
rational [AND] ugly [AND] scared [IMPLY] modern [PERIOD]
selfish [AND] scared [AND] elegant [IMPLY] blushing [PERIOD]
sleepy [IMPLY] bright [PERIOD]
troubled [AND] elegant [IMPLY] ugly [PERIOD]
sleepy [IMPLY] selfish [PERIOD]
sleepy [AND] bright [AND] ugly [IMPLY] elegant [PERIOD]
troubled [AND] selfish [AND] rational [IMPLY] modern [PERIOD]
selfish [AND] ugly [IMPLY] rational [PERIOD]
blushing [AND] troubled [IMPLY] sleepy [PERIOD]
scared [AND] sleepy [AND] rational [IMPLY] modern [PERIOD]
sleepy [AND] scared [AND] ugly [IMPLY] blushing [PERIOD]
ugly [IMPLY] sleepy [PERIOD]
homely [IMPLY] clumsy [PERIOD]
selfish [AND] sleepy [AND] elegant [IMPLY] blushing [PERIOD]
troubled [AND] homely [AND] clumsy [IMPLY] sleepy [PERIOD]
ugly [IMPLY] rational [PERIOD]
Query: Alice is scared [PERIOD]","Proof chain:
   blushing ⇒ long
   long ⇒ troubled
   troubled ⇒ modern
   modern ⇒ scared
",1,4
"Facts:  Alice is courageous [PERIOD] Alice is difficult [PERIOD] Alice is messy [PERIOD] Alice is hurt [PERIOD] Alice is dishonest [PERIOD]
Rules:
difficult [AND] frail [AND] precious [IMPLY] clean [PERIOD]
hurt [AND] supportive [IMPLY] fine [PERIOD]
supportive [AND] difficult [AND] courageous [IMPLY] hurt [PERIOD]
fine [AND] friendly [IMPLY] dishonest [PERIOD]
frightened [AND] busy [IMPLY] clean [PERIOD]
frail [IMPLY] courageous [PERIOD]
difficult [AND] fine [IMPLY] busy [PERIOD]
fine [IMPLY] difficult [PERIOD]
busy [IMPLY] tired [PERIOD]
excited [AND] busy [IMPLY] frail [PERIOD]
amused [IMPLY] busy [PERIOD]
dishonest [IMPLY] hurt [PERIOD]
amused [AND] excited [IMPLY] frightened [PERIOD]
supportive [IMPLY] comfortable [PERIOD]
comfortable [AND] jittery [AND] fine [IMPLY] clean [PERIOD]
difficult [AND] frightened [IMPLY] precious [PERIOD]
frail [AND] hurt [IMPLY] jittery [PERIOD]
courageous [AND] frightened [AND] dishonest [IMPLY] supportive [PERIOD]
supportive [IMPLY] hurt [PERIOD]
messy [AND] jittery [IMPLY] comfortable [PERIOD]
excited [AND] amused [AND] courageous [IMPLY] frail [PERIOD]
comfortable [AND] tired [IMPLY] supportive [PERIOD]
comfortable [AND] precious [AND] busy [IMPLY] frightened [PERIOD]
tired [AND] amused [IMPLY] frail [PERIOD]
frail [AND] excited [IMPLY] friendly [PERIOD]
excited [AND] hurt [IMPLY] fine [PERIOD]
amused [AND] supportive [IMPLY] clean [PERIOD]
dishonest [IMPLY] courageous [PERIOD]
precious [AND] messy [AND] jittery [IMPLY] difficult [PERIOD]
supportive [IMPLY] friendly [PERIOD]
messy [IMPLY] friendly [PERIOD]
excited [AND] supportive [AND] dishonest [IMPLY] fine [PERIOD]
friendly [AND] courageous [AND] excited [IMPLY] jittery [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   Cannot apply rule “hurt ∧ supportive ⇒ fine” because missing: supportive.
   Cannot apply rule “excited ∧ hurt ⇒ fine” because missing: excited.
   Cannot apply rule “excited ∧ supportive ∧ dishonest ⇒ fine” because missing: excited, supportive.
",0,3
"Facts: 
Rules:
horrible [AND] distinct [AND] mysterious [IMPLY] frightened [PERIOD]
frightened [AND] weary [AND] innocent [IMPLY] old-fashioned [PERIOD]
weary [AND] innocent [AND] comfortable [IMPLY] mysterious [PERIOD]
frightened [AND] old-fashioned [AND] comfortable [IMPLY] mysterious [PERIOD]
frightened [AND] mysterious [IMPLY] horrible [PERIOD]
old-fashioned [AND] innocent [IMPLY] weary [PERIOD]
horrible [AND] old-fashioned [IMPLY] mysterious [PERIOD]
horrible [AND] distinct [IMPLY] frightened [PERIOD]
old-fashioned [AND] horrible [IMPLY] innocent [PERIOD]
old-fashioned [IMPLY] frightened [PERIOD]
old-fashioned [AND] comfortable [AND] frightened [IMPLY] distinct [PERIOD]
innocent [AND] weary [IMPLY] mysterious [PERIOD]
old-fashioned [AND] weary [AND] distinct [IMPLY] mysterious [PERIOD]
horrible [AND] mysterious [IMPLY] distinct [PERIOD]
horrible [AND] old-fashioned [AND] weary [IMPLY] mysterious [PERIOD]
distinct [IMPLY] innocent [PERIOD]
distinct [AND] mysterious [IMPLY] horrible [PERIOD]
weary [AND] frightened [AND] horrible [IMPLY] comfortable [PERIOD]
innocent [AND] old-fashioned [AND] horrible [IMPLY] weary [PERIOD]
distinct [AND] mysterious [IMPLY] comfortable [PERIOD]
horrible [AND] distinct [IMPLY] old-fashioned [PERIOD]
weary [AND] mysterious [IMPLY] innocent [PERIOD]
mysterious [IMPLY] old-fashioned [PERIOD]
weary [IMPLY] innocent [PERIOD]
horrible [AND] frightened [IMPLY] old-fashioned [PERIOD]
old-fashioned [AND] mysterious [IMPLY] innocent [PERIOD]
horrible [AND] comfortable [AND] frightened [IMPLY] mysterious [PERIOD]
innocent [AND] distinct [AND] horrible [IMPLY] weary [PERIOD]
innocent [AND] horrible [IMPLY] mysterious [PERIOD]
innocent [AND] horrible [IMPLY] weary [PERIOD]
weary [AND] innocent [AND] distinct [IMPLY] frightened [PERIOD]
old-fashioned [AND] frightened [IMPLY] weary [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   Cannot apply rule “old-fashioned ∧ innocent ⇒ weary” because missing: old-fashioned, innocent.
   Cannot apply rule “innocent ∧ old-fashioned ∧ horrible ⇒ weary” because missing: innocent, old-fashioned, horrible.
   Cannot apply rule “innocent ∧ distinct ∧ horrible ⇒ weary” because missing: innocent, distinct, horrible.
   Cannot apply rule “innocent ∧ horrible ⇒ weary” because missing: innocent, horrible.
   Cannot apply rule “old-fashioned ∧ frightened ⇒ weary” because missing: old-fashioned, frightened.
",0,5
"Facts: 
Rules:
disobedient [IMPLY] rude [PERIOD]
combative [AND] disobedient [AND] rude [IMPLY] exuberant [PERIOD]
hypocritical [IMPLY] shy [PERIOD]
naughty [IMPLY] careless [PERIOD]
joyous [AND] hypocritical [AND] uptight [IMPLY] courageous [PERIOD]
combative [AND] courageous [AND] exuberant [IMPLY] uptight [PERIOD]
calm [AND] modern [IMPLY] outrageous [PERIOD]
sincere [AND] anxious [AND] supportive [IMPLY] stubborn [PERIOD]
calm [AND] clumsy [IMPLY] hypocritical [PERIOD]
sensible [IMPLY] careless [PERIOD]
hypocritical [AND] joyous [IMPLY] courageous [PERIOD]
rude [IMPLY] exuberant [PERIOD]
uptight [AND] courageous [IMPLY] sensible [PERIOD]
modern [IMPLY] uptight [PERIOD]
calm [AND] stubborn [IMPLY] rude [PERIOD]
outrageous [IMPLY] joyous [PERIOD]
clumsy [IMPLY] proud [PERIOD]
elated [IMPLY] clumsy [PERIOD]
grumpy [AND] supportive [IMPLY] hypocritical [PERIOD]
courageous [AND] proud [IMPLY] disobedient [PERIOD]
exuberant [AND] shy [IMPLY] uptight [PERIOD]
joyous [AND] careless [IMPLY] sincere [PERIOD]
shy [AND] elated [IMPLY] proud [PERIOD]
outrageous [AND] sensible [IMPLY] hypocritical [PERIOD]
witty [AND] clumsy [AND] supportive [IMPLY] hypocritical [PERIOD]
uptight [AND] courageous [IMPLY] clumsy [PERIOD]
hypocritical [AND] sensible [IMPLY] naughty [PERIOD]
naughty [AND] shy [IMPLY] modern [PERIOD]
combative [AND] grumpy [AND] supportive [IMPLY] witty [PERIOD]
witty [AND] rude [AND] careless [IMPLY] stubborn [PERIOD]
uptight [IMPLY] careless [PERIOD]
combative [IMPLY] stubborn [PERIOD]
anxious [IMPLY] combative [PERIOD]
anxious [IMPLY] modern [PERIOD]
outrageous [AND] calm [AND] grumpy [IMPLY] sincere [PERIOD]
disobedient [AND] grumpy [AND] courageous [IMPLY] supportive [PERIOD]
rude [AND] witty [AND] hypocritical [IMPLY] supportive [PERIOD]
grumpy [IMPLY] outrageous [PERIOD]
hypocritical [AND] joyous [AND] modern [IMPLY] careless [PERIOD]
sensible [IMPLY] supportive [PERIOD]
calm [AND] supportive [IMPLY] modern [PERIOD]
supportive [IMPLY] rude [PERIOD]
disobedient [IMPLY] anxious [PERIOD]
courageous [AND] rude [IMPLY] shy [PERIOD]
witty [IMPLY] stubborn [PERIOD]
outrageous [AND] supportive [AND] hypocritical [IMPLY] calm [PERIOD]
sincere [AND] uptight [IMPLY] rude [PERIOD]
shy [IMPLY] proud [PERIOD]
joyous [AND] careless [AND] courageous [IMPLY] stubborn [PERIOD]
careless [AND] proud [IMPLY] rude [PERIOD]
supportive [IMPLY] sincere [PERIOD]
supportive [AND] anxious [IMPLY] joyous [PERIOD]
calm [AND] rude [IMPLY] sincere [PERIOD]
exuberant [AND] modern [AND] sincere [IMPLY] sensible [PERIOD]
exuberant [AND] stubborn [AND] modern [IMPLY] careless [PERIOD]
careless [AND] anxious [IMPLY] grumpy [PERIOD]
disobedient [AND] grumpy [IMPLY] uptight [PERIOD]
shy [IMPLY] rude [PERIOD]
naughty [AND] careless [AND] courageous [IMPLY] outrageous [PERIOD]
joyous [IMPLY] calm [PERIOD]
sensible [AND] combative [IMPLY] supportive [PERIOD]
stubborn [AND] supportive [IMPLY] uptight [PERIOD]
proud [IMPLY] rude [PERIOD]
hypocritical [AND] clumsy [AND] courageous [IMPLY] joyous [PERIOD]
careless [AND] witty [IMPLY] supportive [PERIOD]
courageous [AND] uptight [AND] anxious [IMPLY] rude [PERIOD]
calm [AND] hypocritical [AND] rude [IMPLY] careless [PERIOD]
grumpy [AND] joyous [AND] sensible [IMPLY] hypocritical [PERIOD]
shy [AND] proud [AND] stubborn [IMPLY] courageous [PERIOD]
witty [IMPLY] exuberant [PERIOD]
careless [IMPLY] stubborn [PERIOD]
modern [IMPLY] witty [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   Cannot apply rule “naughty ⇒ careless” because missing: naughty.
   Cannot apply rule “sensible ⇒ careless” because missing: sensible.
   Cannot apply rule “uptight ⇒ careless” because missing: uptight.
   Cannot apply rule “hypocritical ∧ joyous ∧ modern ⇒ careless” because missing: hypocritical, joyous, modern.
   Cannot apply rule “exuberant ∧ stubborn ∧ modern ⇒ careless” because missing: exuberant, stubborn, modern.
   Cannot apply rule “calm ∧ hypocritical ∧ rude ⇒ careless” because missing: calm, hypocritical, rude.
",0,6
"Facts:  Alice is dull [PERIOD] Alice is stupid [PERIOD] Alice is inquisitive [PERIOD]
Rules:
innocent [AND] confident [IMPLY] careless [PERIOD]
confident [IMPLY] helpless [PERIOD]
frantic [AND] inquisitive [AND] bossy [IMPLY] supportive [PERIOD]
inquisitive [AND] innocent [IMPLY] frantic [PERIOD]
careless [IMPLY] foolish [PERIOD]
supportive [IMPLY] innocent [PERIOD]
careless [IMPLY] inquisitive [PERIOD]
frantic [AND] beautiful [IMPLY] clean [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “inquisitive ∧ innocent ⇒ frantic” because missing: innocent.
",0,1
"Facts:  Alice is lonely [PERIOD] Alice is inquisitive [PERIOD] Alice is grumpy [PERIOD] Alice is pessimistic [PERIOD] Alice is ambitious [PERIOD] Alice is messy [PERIOD] Alice is popular [PERIOD] Alice is precious [PERIOD] Alice is blushing [PERIOD] Alice is hurt [PERIOD] Alice is light [PERIOD] Alice is hilarious [PERIOD] Alice is gorgeous [PERIOD]
Rules:
muddy [AND] clumsy [AND] pessimistic [IMPLY] zealous [PERIOD]
blushing [AND] embarrassed [IMPLY] grumpy [PERIOD]
blushing [AND] precious [AND] silly [IMPLY] ambitious [PERIOD]
homely [IMPLY] wandering [PERIOD]
hilarious [IMPLY] ugly [PERIOD]
grumpy [AND] lonely [AND] zealous [IMPLY] wandering [PERIOD]
hurt [AND] muddy [IMPLY] messy [PERIOD]
embarrassed [AND] ugly [AND] confident [IMPLY] helpful [PERIOD]
confident [AND] light [IMPLY] lonely [PERIOD]
wandering [AND] light [IMPLY] ugly [PERIOD]
inquisitive [IMPLY] messy [PERIOD]
silly [AND] inquisitive [AND] lonely [IMPLY] homely [PERIOD]
homely [IMPLY] strange [PERIOD]
embarrassed [AND] ugly [AND] precious [IMPLY] strange [PERIOD]
spotless [AND] precious [IMPLY] light [PERIOD]
hilarious [AND] grumpy [IMPLY] hurt [PERIOD]
hurt [AND] inquisitive [IMPLY] silly [PERIOD]
clumsy [AND] embarrassed [IMPLY] light [PERIOD]
silly [AND] wandering [IMPLY] lonely [PERIOD]
gorgeous [AND] fancy [AND] ugly [IMPLY] muddy [PERIOD]
blushing [AND] zealous [AND] confident [IMPLY] pessimistic [PERIOD]
precious [AND] hurt [IMPLY] stupid [PERIOD]
messy [IMPLY] wandering [PERIOD]
muddy [AND] wrong [AND] clumsy [IMPLY] ambitious [PERIOD]
lonely [IMPLY] messy [PERIOD]
gorgeous [AND] helpful [AND] blushing [IMPLY] stupid [PERIOD]
clumsy [AND] ugly [IMPLY] homely [PERIOD]
spotless [IMPLY] horrible [PERIOD]
ugly [AND] wandering [IMPLY] messy [PERIOD]
messy [AND] inquisitive [IMPLY] spotless [PERIOD]
ugly [AND] homely [IMPLY] wrong [PERIOD]
blushing [AND] precious [IMPLY] embarrassed [PERIOD]
precious [IMPLY] stupid [PERIOD]
tender [AND] gorgeous [AND] wrong [IMPLY] precious [PERIOD]
messy [AND] pessimistic [AND] hurt [IMPLY] ugly [PERIOD]
muddy [AND] ambitious [AND] fancy [IMPLY] embarrassed [PERIOD]
precious [AND] wrong [IMPLY] fancy [PERIOD]
horrible [AND] wandering [AND] ambitious [IMPLY] light [PERIOD]
confident [IMPLY] zealous [PERIOD]
homely [AND] popular [IMPLY] ugly [PERIOD]
strange [AND] precious [IMPLY] popular [PERIOD]
strange [AND] muddy [AND] ugly [IMPLY] blushing [PERIOD]
light [AND] messy [IMPLY] inquisitive [PERIOD]
stupid [IMPLY] horrible [PERIOD]
homely [IMPLY] stupid [PERIOD]
hilarious [AND] blushing [AND] horrible [IMPLY] messy [PERIOD]
strange [AND] clumsy [IMPLY] blushing [PERIOD]
horrible [AND] grumpy [IMPLY] homely [PERIOD]
inquisitive [AND] precious [IMPLY] ugly [PERIOD]
gorgeous [AND] horrible [AND] confident [IMPLY] hilarious [PERIOD]
helpful [AND] stupid [IMPLY] light [PERIOD]
stupid [AND] embarrassed [IMPLY] pessimistic [PERIOD]
helpful [AND] embarrassed [IMPLY] ambitious [PERIOD]
gorgeous [AND] stupid [IMPLY] silly [PERIOD]
grumpy [AND] blushing [AND] embarrassed [IMPLY] wandering [PERIOD]
fancy [IMPLY] inquisitive [PERIOD]
tender [AND] hilarious [IMPLY] grumpy [PERIOD]
hurt [AND] hilarious [IMPLY] wrong [PERIOD]
popular [IMPLY] helpful [PERIOD]
spotless [IMPLY] ugly [PERIOD]
precious [AND] hurt [AND] spotless [IMPLY] horrible [PERIOD]
ugly [IMPLY] ambitious [PERIOD]
messy [AND] zealous [IMPLY] ambitious [PERIOD]
confident [IMPLY] embarrassed [PERIOD]
popular [IMPLY] clumsy [PERIOD]
stupid [AND] hurt [IMPLY] popular [PERIOD]
homely [AND] hilarious [AND] tender [IMPLY] grumpy [PERIOD]
hurt [AND] helpful [AND] hilarious [IMPLY] stupid [PERIOD]
helpful [IMPLY] ugly [PERIOD]
ambitious [AND] lonely [AND] homely [IMPLY] popular [PERIOD]
lonely [AND] homely [IMPLY] wrong [PERIOD]
muddy [AND] precious [IMPLY] tender [PERIOD]
popular [IMPLY] spotless [PERIOD]
helpful [IMPLY] inquisitive [PERIOD]
pessimistic [AND] grumpy [IMPLY] tender [PERIOD]
muddy [AND] stupid [IMPLY] zealous [PERIOD]
clumsy [AND] lonely [AND] horrible [IMPLY] homely [PERIOD]
helpful [AND] gorgeous [AND] wrong [IMPLY] clumsy [PERIOD]
muddy [AND] precious [AND] tender [IMPLY] grumpy [PERIOD]
zealous [AND] clumsy [AND] inquisitive [IMPLY] wrong [PERIOD]
silly [AND] homely [IMPLY] gorgeous [PERIOD]
helpful [IMPLY] wrong [PERIOD]
light [AND] lonely [AND] muddy [IMPLY] embarrassed [PERIOD]
embarrassed [AND] precious [IMPLY] homely [PERIOD]
Query: Alice is horrible [PERIOD]","Proof chain:
   messy ∧ inquisitive ⇒ spotless
   spotless ⇒ horrible
",1,2
"Facts: 
Rules:
thoughtless [AND] anxious [AND] ugly [IMPLY] long [PERIOD]
troubled [AND] ugly [AND] thoughtless [IMPLY] anxious [PERIOD]
anxious [AND] ugly [IMPLY] troubled [PERIOD]
thoughtless [IMPLY] troubled [PERIOD]
anxious [AND] ugly [AND] troubled [IMPLY] long [PERIOD]
troubled [AND] anxious [AND] long [IMPLY] ugly [PERIOD]
troubled [AND] anxious [IMPLY] long [PERIOD]
ugly [IMPLY] thoughtless [PERIOD]
anxious [AND] ugly [IMPLY] long [PERIOD]
long [AND] anxious [AND] ugly [IMPLY] thoughtless [PERIOD]
troubled [IMPLY] ugly [PERIOD]
anxious [IMPLY] troubled [PERIOD]
ugly [AND] troubled [AND] thoughtless [IMPLY] long [PERIOD]
troubled [IMPLY] anxious [PERIOD]
long [AND] thoughtless [AND] anxious [IMPLY] troubled [PERIOD]
ugly [AND] anxious [IMPLY] thoughtless [PERIOD]
troubled [AND] anxious [IMPLY] thoughtless [PERIOD]
troubled [IMPLY] thoughtless [PERIOD]
troubled [AND] thoughtless [IMPLY] anxious [PERIOD]
ugly [AND] thoughtless [IMPLY] anxious [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “ugly ⇒ thoughtless” because missing: ugly.
   Cannot apply rule “long ∧ anxious ∧ ugly ⇒ thoughtless” because missing: long, anxious, ugly.
   Cannot apply rule “ugly ∧ anxious ⇒ thoughtless” because missing: ugly, anxious.
   Cannot apply rule “troubled ∧ anxious ⇒ thoughtless” because missing: troubled, anxious.
   Cannot apply rule “troubled ⇒ thoughtless” because missing: troubled.
",0,5
"Facts:  Alice is outstanding [PERIOD] Alice is stupid [PERIOD] Alice is old-fashioned [PERIOD] Alice is bright [PERIOD] Alice is excited [PERIOD] Alice is helpless [PERIOD] Alice is confused [PERIOD] Alice is clumsy [PERIOD] Alice is pleasant [PERIOD] Alice is victorious [PERIOD] Alice is light [PERIOD] Alice is fine [PERIOD]
Rules:
bright [IMPLY] easy [PERIOD]
hypocritical [AND] outstanding [AND] elegant [IMPLY] good [PERIOD]
elegant [AND] old-fashioned [IMPLY] helpless [PERIOD]
stupid [IMPLY] tame [PERIOD]
stupid [AND] victorious [AND] clumsy [IMPLY] nervous [PERIOD]
tame [IMPLY] pleasant [PERIOD]
pleasant [AND] elegant [AND] clumsy [IMPLY] excited [PERIOD]
confused [AND] victorious [IMPLY] clumsy [PERIOD]
nervous [AND] tame [AND] fine [IMPLY] distinct [PERIOD]
tame [AND] hypocritical [IMPLY] distinct [PERIOD]
clumsy [AND] helpless [AND] silly [IMPLY] foolish [PERIOD]
old-fashioned [IMPLY] tame [PERIOD]
confused [IMPLY] clumsy [PERIOD]
bright [AND] stupid [IMPLY] victorious [PERIOD]
easy [IMPLY] frightened [PERIOD]
tame [AND] hypocritical [IMPLY] excited [PERIOD]
troubled [IMPLY] tame [PERIOD]
outstanding [AND] elegant [IMPLY] old-fashioned [PERIOD]
elegant [AND] bright [IMPLY] excited [PERIOD]
victorious [IMPLY] outstanding [PERIOD]
pleasant [AND] good [AND] confused [IMPLY] troubled [PERIOD]
fine [IMPLY] excited [PERIOD]
victorious [AND] confused [IMPLY] helpless [PERIOD]
excited [AND] outstanding [AND] fine [IMPLY] easy [PERIOD]
good [AND] hypocritical [IMPLY] foolish [PERIOD]
good [AND] pleasant [AND] easy [IMPLY] distinct [PERIOD]
fine [IMPLY] distinct [PERIOD]
confused [AND] tame [IMPLY] pleasant [PERIOD]
easy [AND] outstanding [IMPLY] stupid [PERIOD]
outstanding [IMPLY] excited [PERIOD]
good [IMPLY] foolish [PERIOD]
distinct [AND] confused [AND] silly [IMPLY] frightened [PERIOD]
tame [IMPLY] excited [PERIOD]
frightened [AND] fine [IMPLY] distinct [PERIOD]
foolish [AND] fine [AND] clumsy [IMPLY] silly [PERIOD]
light [AND] fine [AND] silly [IMPLY] elegant [PERIOD]
hypocritical [AND] pleasant [AND] bright [IMPLY] confused [PERIOD]
clumsy [AND] hypocritical [IMPLY] outstanding [PERIOD]
helpless [AND] pleasant [IMPLY] fine [PERIOD]
excited [AND] confused [AND] helpless [IMPLY] bright [PERIOD]
elegant [AND] outstanding [IMPLY] troubled [PERIOD]
helpless [AND] bright [IMPLY] elegant [PERIOD]
outstanding [AND] clumsy [IMPLY] tame [PERIOD]
bright [AND] excited [IMPLY] hypocritical [PERIOD]
helpless [AND] elegant [IMPLY] easy [PERIOD]
pleasant [AND] victorious [IMPLY] frightened [PERIOD]
elegant [AND] silly [IMPLY] frightened [PERIOD]
confused [AND] frightened [AND] outstanding [IMPLY] stupid [PERIOD]
frightened [AND] troubled [AND] silly [IMPLY] stupid [PERIOD]
nervous [AND] light [IMPLY] victorious [PERIOD]
good [IMPLY] hypocritical [PERIOD]
foolish [AND] hypocritical [AND] confused [IMPLY] excited [PERIOD]
distinct [IMPLY] silly [PERIOD]
helpless [IMPLY] clumsy [PERIOD]
troubled [AND] confused [AND] bright [IMPLY] foolish [PERIOD]
foolish [IMPLY] old-fashioned [PERIOD]
good [AND] easy [IMPLY] silly [PERIOD]
easy [AND] hypocritical [AND] stupid [IMPLY] excited [PERIOD]
good [AND] frightened [AND] troubled [IMPLY] distinct [PERIOD]
old-fashioned [AND] pleasant [IMPLY] hypocritical [PERIOD]
pleasant [IMPLY] elegant [PERIOD]
hypocritical [IMPLY] confused [PERIOD]
hypocritical [AND] distinct [IMPLY] frightened [PERIOD]
distinct [IMPLY] hypocritical [PERIOD]
bright [AND] outstanding [IMPLY] clumsy [PERIOD]
elegant [AND] silly [AND] helpless [IMPLY] outstanding [PERIOD]
nervous [AND] helpless [AND] stupid [IMPLY] victorious [PERIOD]
helpless [AND] distinct [IMPLY] victorious [PERIOD]
elegant [AND] good [IMPLY] light [PERIOD]
confused [IMPLY] easy [PERIOD]
troubled [AND] bright [AND] easy [IMPLY] victorious [PERIOD]
outstanding [AND] frightened [AND] nervous [IMPLY] helpless [PERIOD]
clumsy [IMPLY] victorious [PERIOD]
confused [AND] foolish [IMPLY] silly [PERIOD]
clumsy [IMPLY] excited [PERIOD]
confused [AND] bright [IMPLY] clumsy [PERIOD]
silly [AND] nervous [IMPLY] victorious [PERIOD]
confused [AND] nervous [AND] excited [IMPLY] light [PERIOD]
stupid [IMPLY] clumsy [PERIOD]
good [AND] bright [AND] fine [IMPLY] easy [PERIOD]
light [IMPLY] frightened [PERIOD]
hypocritical [IMPLY] elegant [PERIOD]
old-fashioned [AND] foolish [AND] good [IMPLY] stupid [PERIOD]
distinct [AND] easy [AND] good [IMPLY] elegant [PERIOD]
tame [AND] easy [IMPLY] excited [PERIOD]
easy [AND] outstanding [AND] nervous [IMPLY] light [PERIOD]
confused [AND] troubled [IMPLY] old-fashioned [PERIOD]
tame [IMPLY] frightened [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   old-fashioned ⇒ tame
",1,1
"Facts:  Alice is enchanting [PERIOD] Alice is comfortable [PERIOD] Alice is talkative [PERIOD] Alice is combative [PERIOD]
Rules:
foolish [AND] popular [IMPLY] horrible [PERIOD]
fancy [IMPLY] joyous [PERIOD]
hurt [AND] nervous [AND] disobedient [IMPLY] popular [PERIOD]
gorgeous [AND] popular [IMPLY] strange [PERIOD]
excited [IMPLY] disobedient [PERIOD]
bad-tempered [AND] enchanting [AND] comfortable [IMPLY] impartial [PERIOD]
disobedient [IMPLY] nervous [PERIOD]
fancy [AND] combative [AND] joyous [IMPLY] selfish [PERIOD]
unpleasant [AND] comfortable [IMPLY] impartial [PERIOD]
selfish [AND] fearless [AND] hypocritical [IMPLY] enchanting [PERIOD]
comfortable [AND] victorious [AND] bad-tempered [IMPLY] hurt [PERIOD]
selfish [IMPLY] nervous [PERIOD]
fancy [IMPLY] horrible [PERIOD]
naughty [IMPLY] strange [PERIOD]
worried [AND] comfortable [IMPLY] excited [PERIOD]
aggressive [AND] gorgeous [AND] vivacious [IMPLY] bad-tempered [PERIOD]
nervous [AND] vivacious [IMPLY] hurt [PERIOD]
combative [AND] bad-tempered [AND] naughty [IMPLY] aggressive [PERIOD]
talkative [AND] enchanting [AND] selfish [IMPLY] comfortable [PERIOD]
old-fashioned [IMPLY] popular [PERIOD]
selfish [IMPLY] naughty [PERIOD]
combative [IMPLY] disobedient [PERIOD]
gorgeous [AND] unpleasant [AND] elegant [IMPLY] aggressive [PERIOD]
fearless [AND] disobedient [IMPLY] excited [PERIOD]
hypocritical [AND] zealous [AND] disobedient [IMPLY] strange [PERIOD]
aggressive [AND] comfortable [AND] gorgeous [IMPLY] horrible [PERIOD]
popular [AND] gorgeous [AND] comfortable [IMPLY] talkative [PERIOD]
unpleasant [IMPLY] hurt [PERIOD]
difficult [AND] nervous [AND] fancy [IMPLY] strange [PERIOD]
combative [IMPLY] popular [PERIOD]
comfortable [AND] joyous [AND] excited [IMPLY] elegant [PERIOD]
difficult [IMPLY] disobedient [PERIOD]
bad-tempered [AND] joyous [IMPLY] hurt [PERIOD]
bad-tempered [AND] comfortable [AND] excited [IMPLY] difficult [PERIOD]
selfish [AND] nervous [AND] vivacious [IMPLY] horrible [PERIOD]
hypocritical [AND] fancy [IMPLY] combative [PERIOD]
strange [AND] hurt [IMPLY] selfish [PERIOD]
victorious [AND] hurt [IMPLY] unpleasant [PERIOD]
enchanting [AND] aggressive [AND] victorious [IMPLY] fancy [PERIOD]
comfortable [IMPLY] combative [PERIOD]
gorgeous [AND] enchanting [AND] difficult [IMPLY] comfortable [PERIOD]
talkative [IMPLY] comfortable [PERIOD]
talkative [AND] elegant [IMPLY] worried [PERIOD]
foolish [AND] aggressive [AND] bad-tempered [IMPLY] worried [PERIOD]
worried [AND] naughty [IMPLY] comfortable [PERIOD]
excited [AND] difficult [AND] popular [IMPLY] naughty [PERIOD]
fearless [AND] old-fashioned [IMPLY] selfish [PERIOD]
fancy [AND] worried [IMPLY] selfish [PERIOD]
gorgeous [AND] old-fashioned [AND] unpleasant [IMPLY] aggressive [PERIOD]
talkative [AND] enchanting [AND] difficult [IMPLY] hypocritical [PERIOD]
nervous [IMPLY] popular [PERIOD]
naughty [IMPLY] joyous [PERIOD]
foolish [AND] selfish [IMPLY] talkative [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   Cannot apply rule “worried ∧ comfortable ⇒ excited” because missing: worried.
   combative ⇒ disobedient
   Cannot apply rule “fearless ∧ disobedient ⇒ excited” because missing: fearless.
",0,3
"Facts:  Alice is worried [PERIOD] Alice is grumpy [PERIOD] Alice is shiny [PERIOD] Alice is curious [PERIOD]
Rules:
tired [IMPLY] weary [PERIOD]
frail [AND] smart [IMPLY] mean [PERIOD]
dull [AND] supportive [IMPLY] distinct [PERIOD]
sleepy [IMPLY] supportive [PERIOD]
sincere [IMPLY] sleepy [PERIOD]
tame [AND] exuberant [AND] thoughtless [IMPLY] aggressive [PERIOD]
thoughtless [AND] versatile [IMPLY] frail [PERIOD]
supportive [AND] sleepy [IMPLY] grumpy [PERIOD]
thoughtless [AND] smart [AND] dull [IMPLY] weary [PERIOD]
distinct [IMPLY] supportive [PERIOD]
foolish [AND] sincere [AND] average [IMPLY] sleepy [PERIOD]
shiny [AND] attractive [AND] sleepy [IMPLY] versatile [PERIOD]
exuberant [AND] famous [AND] distinct [IMPLY] attractive [PERIOD]
glamorous [AND] thoughtless [AND] tame [IMPLY] grumpy [PERIOD]
thoughtless [AND] mean [AND] weary [IMPLY] enchanting [PERIOD]
tame [AND] thoughtless [AND] aggressive [IMPLY] versatile [PERIOD]
sincere [AND] smart [AND] pleasant [IMPLY] average [PERIOD]
sleepy [AND] distinct [AND] mean [IMPLY] aggressive [PERIOD]
tame [AND] curious [IMPLY] sincere [PERIOD]
pleasant [AND] mean [AND] foolish [IMPLY] weary [PERIOD]
average [AND] smart [IMPLY] thoughtless [PERIOD]
grumpy [AND] supportive [AND] exuberant [IMPLY] foolish [PERIOD]
famous [IMPLY] condemned [PERIOD]
mean [AND] sleepy [IMPLY] aggressive [PERIOD]
curious [IMPLY] attractive [PERIOD]
mean [AND] aggressive [AND] worried [IMPLY] famous [PERIOD]
famous [AND] distinct [IMPLY] shiny [PERIOD]
condemned [AND] mean [IMPLY] tame [PERIOD]
condemned [AND] sincere [IMPLY] foolish [PERIOD]
tired [AND] famous [AND] average [IMPLY] sincere [PERIOD]
enchanting [AND] smart [AND] distinct [IMPLY] versatile [PERIOD]
foolish [IMPLY] glamorous [PERIOD]
supportive [AND] thoughtless [AND] worried [IMPLY] average [PERIOD]
average [IMPLY] versatile [PERIOD]
thoughtless [AND] sincere [AND] supportive [IMPLY] smart [PERIOD]
weary [AND] thoughtless [AND] worried [IMPLY] curious [PERIOD]
tired [IMPLY] exuberant [PERIOD]
exuberant [AND] mean [AND] versatile [IMPLY] weary [PERIOD]
famous [IMPLY] worried [PERIOD]
versatile [AND] distinct [IMPLY] tame [PERIOD]
weary [AND] smart [AND] average [IMPLY] thoughtless [PERIOD]
average [AND] exuberant [AND] weary [IMPLY] sleepy [PERIOD]
glamorous [AND] tired [AND] foolish [IMPLY] distinct [PERIOD]
curious [AND] aggressive [AND] thoughtless [IMPLY] attractive [PERIOD]
shiny [IMPLY] enchanting [PERIOD]
weary [AND] distinct [IMPLY] tired [PERIOD]
average [AND] foolish [IMPLY] tired [PERIOD]
average [AND] mean [AND] curious [IMPLY] supportive [PERIOD]
enchanting [IMPLY] foolish [PERIOD]
supportive [IMPLY] frail [PERIOD]
distinct [IMPLY] sleepy [PERIOD]
smart [IMPLY] tired [PERIOD]
shiny [IMPLY] smart [PERIOD]
shiny [AND] grumpy [AND] famous [IMPLY] curious [PERIOD]
distinct [AND] tame [IMPLY] exuberant [PERIOD]
famous [AND] exuberant [IMPLY] mean [PERIOD]
smart [IMPLY] distinct [PERIOD]
mean [AND] smart [IMPLY] tame [PERIOD]
frail [AND] tame [AND] weary [IMPLY] foolish [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
   shiny ⇒ smart
   smart ⇒ tired
   tired ⇒ exuberant
",1,3
"Facts: 
Rules:
elegant [AND] talkative [IMPLY] unpleasant [PERIOD]
difficult [IMPLY] powerful [PERIOD]
talkative [AND] elegant [IMPLY] powerful [PERIOD]
talkative [AND] elegant [AND] difficult [IMPLY] zealous [PERIOD]
homely [AND] difficult [IMPLY] unpleasant [PERIOD]
elegant [IMPLY] thoughtless [PERIOD]
thoughtless [AND] elegant [AND] powerful [IMPLY] unpleasant [PERIOD]
thoughtless [AND] quaint [AND] talkative [IMPLY] zealous [PERIOD]
thoughtless [AND] difficult [AND] powerful [IMPLY] quaint [PERIOD]
difficult [IMPLY] unpleasant [PERIOD]
homely [IMPLY] thoughtless [PERIOD]
thoughtless [AND] elegant [AND] zealous [IMPLY] powerful [PERIOD]
homely [AND] zealous [AND] difficult [IMPLY] unpleasant [PERIOD]
unpleasant [IMPLY] homely [PERIOD]
powerful [AND] quaint [IMPLY] elegant [PERIOD]
powerful [IMPLY] thoughtless [PERIOD]
talkative [AND] difficult [AND] quaint [IMPLY] powerful [PERIOD]
difficult [IMPLY] thoughtless [PERIOD]
elegant [AND] unpleasant [IMPLY] thoughtless [PERIOD]
unpleasant [AND] difficult [AND] talkative [IMPLY] thoughtless [PERIOD]
powerful [IMPLY] elegant [PERIOD]
talkative [IMPLY] powerful [PERIOD]
talkative [AND] unpleasant [AND] powerful [IMPLY] homely [PERIOD]
unpleasant [AND] thoughtless [AND] zealous [IMPLY] talkative [PERIOD]
elegant [IMPLY] powerful [PERIOD]
difficult [AND] thoughtless [IMPLY] talkative [PERIOD]
zealous [IMPLY] powerful [PERIOD]
difficult [AND] thoughtless [AND] unpleasant [IMPLY] powerful [PERIOD]
difficult [IMPLY] talkative [PERIOD]
Query: Alice is thoughtless [PERIOD]","Proof chain:
   Cannot apply rule “elegant ⇒ thoughtless” because missing: elegant.
   Cannot apply rule “homely ⇒ thoughtless” because missing: homely.
   Cannot apply rule “powerful ⇒ thoughtless” because missing: powerful.
   Cannot apply rule “difficult ⇒ thoughtless” because missing: difficult.
   Cannot apply rule “elegant ∧ unpleasant ⇒ thoughtless” because missing: elegant, unpleasant.
   Cannot apply rule “unpleasant ∧ difficult ∧ talkative ⇒ thoughtless” because missing: unpleasant, difficult, talkative.
",0,6
"Facts:  Alice is outstanding [PERIOD] Alice is vivacious [PERIOD] Alice is charming [PERIOD] Alice is excited [PERIOD] Alice is modern [PERIOD] Alice is victorious [PERIOD] Alice is different [PERIOD] Alice is cooperative [PERIOD]
Rules:
loving [AND] ugliest [IMPLY] bright [PERIOD]
shiny [AND] outstanding [AND] ugliest [IMPLY] loving [PERIOD]
sensible [AND] bright [IMPLY] loving [PERIOD]
excited [AND] messy [IMPLY] rude [PERIOD]
excited [AND] distinct [AND] intellectual [IMPLY] amused [PERIOD]
excited [AND] modern [AND] sensible [IMPLY] outstanding [PERIOD]
loving [AND] different [IMPLY] shiny [PERIOD]
ugliest [AND] loving [IMPLY] sensible [PERIOD]
shiny [IMPLY] rude [PERIOD]
rude [IMPLY] messy [PERIOD]
charming [IMPLY] messy [PERIOD]
cooperative [AND] rude [AND] intellectual [IMPLY] loving [PERIOD]
cooperative [IMPLY] vivacious [PERIOD]
bright [IMPLY] modern [PERIOD]
shiny [IMPLY] intellectual [PERIOD]
vivacious [IMPLY] bright [PERIOD]
loving [IMPLY] rude [PERIOD]
intellectual [AND] loving [AND] vivacious [IMPLY] bright [PERIOD]
loving [IMPLY] shiny [PERIOD]
cooperative [IMPLY] ugliest [PERIOD]
modern [AND] shiny [AND] victorious [IMPLY] loving [PERIOD]
charming [AND] different [IMPLY] vivacious [PERIOD]
amused [AND] outstanding [AND] vivacious [IMPLY] loving [PERIOD]
modern [IMPLY] sensible [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is selfish [PERIOD] Alice is aggressive [PERIOD] Alice is elegant [PERIOD]
Rules:
supportive [AND] mysterious [AND] frightened [IMPLY] worrisome [PERIOD]
popular [AND] embarrassed [AND] aggressive [IMPLY] selfish [PERIOD]
frightened [AND] tender [IMPLY] worrisome [PERIOD]
tired [AND] dull [AND] mysterious [IMPLY] popular [PERIOD]
straightforward [AND] tender [AND] dull [IMPLY] amused [PERIOD]
aggressive [AND] dull [AND] amused [IMPLY] homely [PERIOD]
tired [IMPLY] tender [PERIOD]
embarrassed [AND] gorgeous [IMPLY] supportive [PERIOD]
dishonest [AND] aggressive [AND] straightforward [IMPLY] muddy [PERIOD]
embarrassed [AND] selfish [AND] horrible [IMPLY] popular [PERIOD]
clean [AND] dull [IMPLY] horrible [PERIOD]
dull [AND] tender [IMPLY] tired [PERIOD]
tender [AND] popular [AND] elegant [IMPLY] selfish [PERIOD]
tender [IMPLY] dull [PERIOD]
strange [AND] gorgeous [IMPLY] supportive [PERIOD]
amused [AND] tender [IMPLY] aggressive [PERIOD]
elegant [AND] worrisome [IMPLY] supportive [PERIOD]
worrisome [AND] horrible [IMPLY] gorgeous [PERIOD]
strange [AND] popular [IMPLY] frightened [PERIOD]
tender [AND] elegant [IMPLY] embarrassed [PERIOD]
dull [AND] strange [AND] elegant [IMPLY] straightforward [PERIOD]
elegant [IMPLY] embarrassed [PERIOD]
precious [AND] horrible [AND] strange [IMPLY] gorgeous [PERIOD]
muddy [IMPLY] precious [PERIOD]
homely [IMPLY] straightforward [PERIOD]
aggressive [IMPLY] embarrassed [PERIOD]
clean [IMPLY] dull [PERIOD]
worrisome [IMPLY] selfish [PERIOD]
strange [AND] elegant [AND] dull [IMPLY] aggressive [PERIOD]
straightforward [AND] clean [IMPLY] mysterious [PERIOD]
elegant [IMPLY] straightforward [PERIOD]
popular [AND] worrisome [AND] straightforward [IMPLY] tender [PERIOD]
elegant [AND] popular [IMPLY] muddy [PERIOD]
horrible [IMPLY] worrisome [PERIOD]
gorgeous [IMPLY] supportive [PERIOD]
precious [IMPLY] frightened [PERIOD]
mysterious [AND] popular [AND] frightened [IMPLY] muddy [PERIOD]
aggressive [IMPLY] mysterious [PERIOD]
dishonest [AND] popular [AND] embarrassed [IMPLY] supportive [PERIOD]
tired [IMPLY] dull [PERIOD]
amused [AND] tender [IMPLY] horrible [PERIOD]
frightened [AND] gorgeous [AND] tender [IMPLY] straightforward [PERIOD]
homely [IMPLY] horrible [PERIOD]
horrible [IMPLY] embarrassed [PERIOD]
horrible [IMPLY] elegant [PERIOD]
gorgeous [AND] mysterious [AND] tired [IMPLY] frightened [PERIOD]
supportive [IMPLY] clean [PERIOD]
straightforward [AND] tender [AND] supportive [IMPLY] mysterious [PERIOD]
popular [IMPLY] muddy [PERIOD]
straightforward [IMPLY] frightened [PERIOD]
frightened [IMPLY] aggressive [PERIOD]
embarrassed [AND] supportive [AND] clean [IMPLY] muddy [PERIOD]
mysterious [AND] homely [IMPLY] clean [PERIOD]
straightforward [IMPLY] strange [PERIOD]
selfish [IMPLY] gorgeous [PERIOD]
gorgeous [AND] horrible [AND] muddy [IMPLY] strange [PERIOD]
muddy [AND] aggressive [IMPLY] dull [PERIOD]
muddy [IMPLY] homely [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   aggressive ⇒ embarrassed
   selfish ⇒ gorgeous
   embarrassed ∧ gorgeous ⇒ supportive
   aggressive ⇒ mysterious
   elegant ⇒ straightforward
   straightforward ⇒ frightened
   supportive ∧ mysterious ∧ frightened ⇒ worrisome
",1,7
"Facts:  Alice is popular [PERIOD] Alice is loving [PERIOD] Alice is combative [PERIOD] Alice is ugliest [PERIOD] Alice is hypocritical [PERIOD] Alice is cute [PERIOD] Alice is frightened [PERIOD] Alice is pleasant [PERIOD] Alice is excited [PERIOD] Alice is enchanting [PERIOD] Alice is spotless [PERIOD] Alice is inquisitive [PERIOD] Alice is tense [PERIOD] Alice is precious [PERIOD] Alice is condemned [PERIOD] Alice is talented [PERIOD] Alice is grumpy [PERIOD]
Rules:
condemned [AND] excited [IMPLY] pleasant [PERIOD]
grumpy [IMPLY] outstanding [PERIOD]
talented [IMPLY] hypocritical [PERIOD]
outstanding [AND] talented [IMPLY] excited [PERIOD]
frightened [AND] outstanding [AND] combative [IMPLY] inquisitive [PERIOD]
grumpy [AND] enchanting [AND] combative [IMPLY] popular [PERIOD]
grumpy [AND] combative [AND] hypocritical [IMPLY] enchanting [PERIOD]
sensible [IMPLY] inquisitive [PERIOD]
sensible [AND] loving [IMPLY] outstanding [PERIOD]
grumpy [IMPLY] enchanting [PERIOD]
tense [AND] grumpy [AND] precious [IMPLY] inquisitive [PERIOD]
tense [IMPLY] grumpy [PERIOD]
enchanting [AND] alert [IMPLY] talented [PERIOD]
grumpy [IMPLY] talented [PERIOD]
inquisitive [AND] pleasant [IMPLY] cute [PERIOD]
combative [AND] condemned [AND] precious [IMPLY] inquisitive [PERIOD]
condemned [AND] tense [AND] spotless [IMPLY] ugliest [PERIOD]
excited [IMPLY] alert [PERIOD]
inquisitive [AND] quaint [AND] grumpy [IMPLY] talented [PERIOD]
hypocritical [AND] frightened [IMPLY] tense [PERIOD]
precious [AND] hypocritical [IMPLY] popular [PERIOD]
frightened [AND] outstanding [IMPLY] hypocritical [PERIOD]
cute [AND] pleasant [AND] tense [IMPLY] ugliest [PERIOD]
hypocritical [IMPLY] precious [PERIOD]
combative [IMPLY] ugliest [PERIOD]
spotless [AND] precious [AND] popular [IMPLY] quaint [PERIOD]
pleasant [AND] ugliest [AND] quaint [IMPLY] grumpy [PERIOD]
excited [AND] alert [IMPLY] spotless [PERIOD]
alert [IMPLY] loving [PERIOD]
Query: Alice is outstanding [PERIOD]","Proof chain:
   grumpy ⇒ outstanding
",1,1
"Facts:  Alice is embarrassed [PERIOD] Alice is comfortable [PERIOD]
Rules:
good [IMPLY] sleepy [PERIOD]
reserved [AND] calm [AND] sleepy [IMPLY] embarrassed [PERIOD]
comfortable [AND] shy [AND] good [IMPLY] sleepy [PERIOD]
comfortable [IMPLY] good [PERIOD]
embarrassed [AND] sleepy [IMPLY] homely [PERIOD]
calm [AND] embarrassed [AND] popular [IMPLY] shy [PERIOD]
reserved [AND] good [AND] embarrassed [IMPLY] popular [PERIOD]
popular [AND] good [AND] calm [IMPLY] sleepy [PERIOD]
comfortable [IMPLY] reserved [PERIOD]
reserved [AND] embarrassed [IMPLY] comfortable [PERIOD]
shy [IMPLY] embarrassed [PERIOD]
sleepy [AND] reserved [AND] comfortable [IMPLY] good [PERIOD]
good [IMPLY] homely [PERIOD]
embarrassed [AND] calm [IMPLY] popular [PERIOD]
comfortable [IMPLY] shy [PERIOD]
aggressive [AND] reserved [IMPLY] calm [PERIOD]
calm [IMPLY] sleepy [PERIOD]
homely [AND] calm [IMPLY] embarrassed [PERIOD]
sleepy [IMPLY] homely [PERIOD]
shy [AND] good [IMPLY] homely [PERIOD]
calm [IMPLY] comfortable [PERIOD]
aggressive [AND] sleepy [IMPLY] shy [PERIOD]
homely [IMPLY] sleepy [PERIOD]
Query: Alice is popular [PERIOD]","Proof chain:
   comfortable ⇒ reserved
   comfortable ⇒ good
   reserved ∧ good ∧ embarrassed ⇒ popular
",1,3
"Facts: 
Rules:
diplomatic [AND] shy [AND] inquisitive [IMPLY] tame [PERIOD]
inquisitive [IMPLY] shy [PERIOD]
tame [AND] proud [IMPLY] diplomatic [PERIOD]
proud [IMPLY] shy [PERIOD]
shy [AND] proud [AND] inquisitive [IMPLY] diplomatic [PERIOD]
shy [AND] tame [AND] inquisitive [IMPLY] proud [PERIOD]
shy [IMPLY] proud [PERIOD]
proud [AND] diplomatic [AND] shy [IMPLY] tame [PERIOD]
tame [AND] inquisitive [IMPLY] proud [PERIOD]
diplomatic [AND] proud [AND] shy [IMPLY] inquisitive [PERIOD]
diplomatic [AND] shy [AND] inquisitive [IMPLY] proud [PERIOD]
proud [IMPLY] inquisitive [PERIOD]
inquisitive [AND] proud [AND] diplomatic [IMPLY] shy [PERIOD]
inquisitive [AND] diplomatic [IMPLY] shy [PERIOD]
Query: Alice is proud [PERIOD]","Proof chain:
   Cannot apply rule “shy ∧ tame ∧ inquisitive ⇒ proud” because missing: shy, tame, inquisitive.
   Cannot apply rule “shy ⇒ proud” because missing: shy.
   Cannot apply rule “tame ∧ inquisitive ⇒ proud” because missing: tame, inquisitive.
   Cannot apply rule “diplomatic ∧ shy ∧ inquisitive ⇒ proud” because missing: diplomatic, shy, inquisitive.
",0,4
"Facts:  Alice is lucky [PERIOD] Alice is grumpy [PERIOD]
Rules:
long [AND] grumpy [AND] hilarious [IMPLY] enchanting [PERIOD]
enchanting [AND] loving [AND] powerful [IMPLY] hilarious [PERIOD]
grumpy [AND] enchanting [AND] loving [IMPLY] lucky [PERIOD]
inexpensive [IMPLY] hilarious [PERIOD]
combative [AND] enchanting [AND] loving [IMPLY] long [PERIOD]
enchanting [IMPLY] combative [PERIOD]
hilarious [IMPLY] long [PERIOD]
enchanting [IMPLY] long [PERIOD]
lucky [AND] long [IMPLY] powerful [PERIOD]
hilarious [AND] grumpy [IMPLY] long [PERIOD]
hilarious [AND] inexpensive [IMPLY] lucky [PERIOD]
inexpensive [AND] lucky [AND] enchanting [IMPLY] long [PERIOD]
inexpensive [IMPLY] combative [PERIOD]
combative [IMPLY] powerful [PERIOD]
powerful [AND] hilarious [IMPLY] grumpy [PERIOD]
loving [AND] combative [IMPLY] long [PERIOD]
hilarious [AND] loving [IMPLY] enchanting [PERIOD]
powerful [AND] grumpy [AND] combative [IMPLY] loving [PERIOD]
enchanting [AND] powerful [AND] grumpy [IMPLY] hilarious [PERIOD]
hilarious [AND] enchanting [AND] grumpy [IMPLY] inexpensive [PERIOD]
loving [AND] combative [IMPLY] enchanting [PERIOD]
powerful [AND] enchanting [AND] grumpy [IMPLY] inexpensive [PERIOD]
long [IMPLY] enchanting [PERIOD]
grumpy [AND] combative [AND] loving [IMPLY] enchanting [PERIOD]
enchanting [AND] inexpensive [IMPLY] powerful [PERIOD]
grumpy [AND] hilarious [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] lucky [PERIOD]
lucky [AND] enchanting [AND] grumpy [IMPLY] loving [PERIOD]
hilarious [AND] grumpy [AND] inexpensive [IMPLY] lucky [PERIOD]
long [AND] powerful [AND] grumpy [IMPLY] enchanting [PERIOD]
Query: Alice is enchanting [PERIOD]","Proof chain:
   Cannot apply rule “long ∧ grumpy ∧ hilarious ⇒ enchanting” because missing: long, hilarious.
   Cannot apply rule “hilarious ∧ loving ⇒ enchanting” because missing: hilarious, loving.
   Cannot apply rule “loving ∧ combative ⇒ enchanting” because missing: loving, combative.
   Cannot apply rule “long ⇒ enchanting” because missing: long.
   Cannot apply rule “grumpy ∧ combative ∧ loving ⇒ enchanting” because missing: combative, loving.
   Cannot apply rule “grumpy ∧ hilarious ⇒ enchanting” because missing: hilarious.
   Cannot apply rule “long ∧ powerful ∧ grumpy ⇒ enchanting” because missing: long, powerful.
",0,7
"Facts:  Alice is bright [PERIOD] Alice is cruel [PERIOD] Alice is loving [PERIOD] Alice is light [PERIOD] Alice is tense [PERIOD] Alice is mysterious [PERIOD] Alice is witty [PERIOD] Alice is weary [PERIOD] Alice is wandering [PERIOD] Alice is different [PERIOD] Alice is outrageous [PERIOD]
Rules:
tense [AND] modern [IMPLY] loving [PERIOD]
hypocritical [AND] witty [AND] bright [IMPLY] amused [PERIOD]
amused [AND] light [IMPLY] different [PERIOD]
cruel [AND] mean [IMPLY] aggressive [PERIOD]
tidy [AND] average [IMPLY] cruel [PERIOD]
weary [AND] cooperative [IMPLY] mean [PERIOD]
cooperative [IMPLY] loving [PERIOD]
amused [IMPLY] tense [PERIOD]
old-fashioned [IMPLY] outrageous [PERIOD]
cooperative [AND] broad-minded [AND] bossy [IMPLY] hypocritical [PERIOD]
cooperative [IMPLY] mysterious [PERIOD]
amused [AND] cooperative [IMPLY] bossy [PERIOD]
cruel [AND] light [AND] old-fashioned [IMPLY] wandering [PERIOD]
hypocritical [IMPLY] old-fashioned [PERIOD]
cruel [AND] old-fashioned [AND] amused [IMPLY] different [PERIOD]
witty [AND] aggressive [AND] wandering [IMPLY] old-fashioned [PERIOD]
aggressive [IMPLY] outrageous [PERIOD]
different [IMPLY] tense [PERIOD]
bright [AND] ugliest [AND] loving [IMPLY] light [PERIOD]
mean [AND] witty [IMPLY] average [PERIOD]
witty [AND] tidy [AND] old-fashioned [IMPLY] hypocritical [PERIOD]
wandering [AND] loving [IMPLY] bright [PERIOD]
outrageous [IMPLY] modern [PERIOD]
tense [AND] different [AND] amused [IMPLY] outrageous [PERIOD]
amused [AND] tense [AND] different [IMPLY] bossy [PERIOD]
tense [AND] average [AND] broad-minded [IMPLY] ugliest [PERIOD]
mean [AND] average [AND] wandering [IMPLY] ugliest [PERIOD]
broad-minded [AND] mean [IMPLY] ugliest [PERIOD]
bright [AND] hypocritical [IMPLY] old-fashioned [PERIOD]
wandering [IMPLY] weary [PERIOD]
average [AND] different [AND] tidy [IMPLY] bossy [PERIOD]
modern [AND] tense [AND] old-fashioned [IMPLY] mysterious [PERIOD]
bright [AND] old-fashioned [AND] modern [IMPLY] loving [PERIOD]
light [AND] wandering [IMPLY] witty [PERIOD]
aggressive [AND] cruel [IMPLY] loving [PERIOD]
average [AND] loving [IMPLY] tense [PERIOD]
hypocritical [AND] bossy [IMPLY] different [PERIOD]
outrageous [AND] loving [IMPLY] tense [PERIOD]
hypocritical [IMPLY] mean [PERIOD]
old-fashioned [AND] hypocritical [AND] tense [IMPLY] modern [PERIOD]
modern [IMPLY] aggressive [PERIOD]
wandering [AND] tense [IMPLY] old-fashioned [PERIOD]
witty [AND] average [AND] bright [IMPLY] bossy [PERIOD]
light [IMPLY] weary [PERIOD]
loving [AND] old-fashioned [IMPLY] tidy [PERIOD]
modern [IMPLY] tense [PERIOD]
light [AND] ugliest [AND] tense [IMPLY] cruel [PERIOD]
witty [IMPLY] bright [PERIOD]
cruel [AND] bossy [IMPLY] witty [PERIOD]
ugliest [AND] hypocritical [IMPLY] average [PERIOD]
loving [AND] weary [AND] outrageous [IMPLY] modern [PERIOD]
mean [AND] aggressive [IMPLY] cooperative [PERIOD]
broad-minded [AND] average [IMPLY] hypocritical [PERIOD]
average [IMPLY] witty [PERIOD]
cooperative [AND] loving [AND] wandering [IMPLY] old-fashioned [PERIOD]
old-fashioned [IMPLY] modern [PERIOD]
cooperative [IMPLY] mean [PERIOD]
bright [IMPLY] outrageous [PERIOD]
broad-minded [IMPLY] weary [PERIOD]
light [IMPLY] cruel [PERIOD]
average [IMPLY] bossy [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
   wandering ∧ tense ⇒ old-fashioned
   loving ∧ old-fashioned ⇒ tidy
   wandering ∧ tense ⇒ old-fashioned
   witty ∧ tidy ∧ old-fashioned ⇒ hypocritical
",1,4
"Facts:  Alice is ugly [PERIOD] Alice is calm [PERIOD] Alice is wandering [PERIOD] Alice is intellectual [PERIOD] Alice is cute [PERIOD] Alice is excited [PERIOD] Alice is rational [PERIOD] Alice is tidy [PERIOD] Alice is impartial [PERIOD] Alice is comfortable [PERIOD]
Rules:
supportive [IMPLY] intellectual [PERIOD]
comfortable [AND] cute [IMPLY] charming [PERIOD]
calm [AND] shiny [AND] disobedient [IMPLY] attractive [PERIOD]
victorious [AND] quaint [AND] calm [IMPLY] wandering [PERIOD]
ugly [IMPLY] broad-minded [PERIOD]
charming [AND] calm [AND] different [IMPLY] intellectual [PERIOD]
tidy [AND] cute [AND] adorable [IMPLY] different [PERIOD]
disobedient [AND] broad-minded [IMPLY] comfortable [PERIOD]
disobedient [IMPLY] comfortable [PERIOD]
supportive [AND] tidy [AND] wandering [IMPLY] intellectual [PERIOD]
cute [AND] attractive [AND] calm [IMPLY] tidy [PERIOD]
intellectual [AND] cute [IMPLY] quaint [PERIOD]
intellectual [AND] bad-tempered [IMPLY] ugly [PERIOD]
supportive [AND] comfortable [AND] excited [IMPLY] different [PERIOD]
wandering [AND] adorable [AND] broad-minded [IMPLY] supportive [PERIOD]
disobedient [IMPLY] calm [PERIOD]
impartial [AND] comfortable [IMPLY] busy [PERIOD]
ugly [AND] supportive [AND] rational [IMPLY] disobedient [PERIOD]
shiny [AND] busy [AND] adorable [IMPLY] impartial [PERIOD]
victorious [IMPLY] adorable [PERIOD]
victorious [AND] supportive [AND] broad-minded [IMPLY] rational [PERIOD]
rational [AND] victorious [IMPLY] ugly [PERIOD]
busy [AND] attractive [AND] impartial [IMPLY] intellectual [PERIOD]
victorious [AND] comfortable [IMPLY] adorable [PERIOD]
attractive [AND] tidy [AND] wandering [IMPLY] disobedient [PERIOD]
cute [AND] wandering [AND] busy [IMPLY] different [PERIOD]
calm [IMPLY] supportive [PERIOD]
cute [AND] supportive [IMPLY] tidy [PERIOD]
wandering [IMPLY] shiny [PERIOD]
broad-minded [AND] charming [IMPLY] comfortable [PERIOD]
victorious [AND] tidy [IMPLY] cute [PERIOD]
ugly [IMPLY] tidy [PERIOD]
adorable [AND] impartial [AND] different [IMPLY] busy [PERIOD]
disobedient [AND] wandering [IMPLY] charming [PERIOD]
different [IMPLY] broad-minded [PERIOD]
different [IMPLY] supportive [PERIOD]
intellectual [IMPLY] charming [PERIOD]
bad-tempered [AND] tidy [IMPLY] broad-minded [PERIOD]
different [AND] disobedient [AND] calm [IMPLY] intellectual [PERIOD]
ugly [AND] adorable [IMPLY] broad-minded [PERIOD]
comfortable [AND] calm [AND] charming [IMPLY] bad-tempered [PERIOD]
tidy [IMPLY] comfortable [PERIOD]
rational [IMPLY] attractive [PERIOD]
ugly [AND] bad-tempered [IMPLY] intellectual [PERIOD]
charming [AND] attractive [AND] quaint [IMPLY] shiny [PERIOD]
excited [IMPLY] tidy [PERIOD]
ugly [IMPLY] impartial [PERIOD]
adorable [AND] intellectual [AND] broad-minded [IMPLY] comfortable [PERIOD]
different [AND] wandering [IMPLY] quaint [PERIOD]
bad-tempered [IMPLY] rational [PERIOD]
Query: Alice is different [PERIOD]","Proof chain:
   impartial ∧ comfortable ⇒ busy
   cute ∧ wandering ∧ busy ⇒ different
",1,2
"Facts:  Alice is wandering [PERIOD]
Rules:
spotless [AND] mean [IMPLY] perfect [PERIOD]
helpful [IMPLY] spotless [PERIOD]
spotless [IMPLY] mean [PERIOD]
perfect [AND] spotless [AND] wandering [IMPLY] helpful [PERIOD]
mean [AND] helpful [IMPLY] spotless [PERIOD]
perfect [AND] wandering [AND] mean [IMPLY] spotless [PERIOD]
helpful [IMPLY] mean [PERIOD]
spotless [AND] helpful [AND] perfect [IMPLY] mean [PERIOD]
perfect [AND] spotless [AND] mean [IMPLY] wandering [PERIOD]
mean [AND] helpful [AND] wandering [IMPLY] perfect [PERIOD]
mean [AND] wandering [IMPLY] perfect [PERIOD]
wandering [AND] helpful [IMPLY] mean [PERIOD]
helpful [AND] spotless [IMPLY] mean [PERIOD]
perfect [IMPLY] wandering [PERIOD]
helpful [AND] perfect [IMPLY] mean [PERIOD]
Query: Alice is mean [PERIOD]","Proof chain:
   Cannot apply rule “spotless ⇒ mean” because missing: spotless.
   Cannot apply rule “helpful ⇒ mean” because missing: helpful.
   Cannot apply rule “spotless ∧ helpful ∧ perfect ⇒ mean” because missing: spotless, helpful, perfect.
   Cannot apply rule “wandering ∧ helpful ⇒ mean” because missing: helpful.
   Cannot apply rule “helpful ∧ spotless ⇒ mean” because missing: helpful, spotless.
   Cannot apply rule “helpful ∧ perfect ⇒ mean” because missing: helpful, perfect.
",0,6
"Facts: 
Rules:
strange [IMPLY] embarrassed [PERIOD]
embarrassed [AND] confident [IMPLY] horrible [PERIOD]
tame [AND] embarrassed [AND] friendly [IMPLY] strange [PERIOD]
tame [IMPLY] confident [PERIOD]
strange [AND] tame [AND] embarrassed [IMPLY] popular [PERIOD]
confident [AND] popular [IMPLY] horrible [PERIOD]
sleepy [IMPLY] confident [PERIOD]
embarrassed [IMPLY] tame [PERIOD]
popular [AND] horrible [IMPLY] tame [PERIOD]
popular [AND] strange [IMPLY] tame [PERIOD]
popular [IMPLY] embarrassed [PERIOD]
friendly [AND] popular [AND] strange [IMPLY] confident [PERIOD]
sleepy [AND] embarrassed [IMPLY] confident [PERIOD]
horrible [AND] sleepy [AND] embarrassed [IMPLY] strange [PERIOD]
horrible [AND] sleepy [IMPLY] friendly [PERIOD]
popular [AND] horrible [AND] friendly [IMPLY] tame [PERIOD]
strange [IMPLY] popular [PERIOD]
embarrassed [AND] strange [AND] sleepy [IMPLY] tame [PERIOD]
sleepy [AND] friendly [IMPLY] tame [PERIOD]
tame [AND] confident [AND] sleepy [IMPLY] friendly [PERIOD]
horrible [AND] confident [IMPLY] friendly [PERIOD]
embarrassed [AND] strange [IMPLY] friendly [PERIOD]
popular [AND] confident [AND] friendly [IMPLY] embarrassed [PERIOD]
horrible [AND] popular [AND] friendly [IMPLY] strange [PERIOD]
horrible [IMPLY] confident [PERIOD]
tame [AND] popular [IMPLY] friendly [PERIOD]
confident [AND] popular [AND] strange [IMPLY] tame [PERIOD]
confident [IMPLY] sleepy [PERIOD]
tame [AND] popular [AND] confident [IMPLY] horrible [PERIOD]
Query: Alice is confident [PERIOD]","Proof chain:
   Cannot apply rule “tame ⇒ confident” because missing: tame.
   Cannot apply rule “sleepy ⇒ confident” because missing: sleepy.
   Cannot apply rule “friendly ∧ popular ∧ strange ⇒ confident” because missing: friendly, popular, strange.
   Cannot apply rule “sleepy ∧ embarrassed ⇒ confident” because missing: sleepy, embarrassed.
   Cannot apply rule “horrible ⇒ confident” because missing: horrible.
",0,5
"Facts:  Alice is disgusted [PERIOD] Alice is stormy [PERIOD] Alice is ambitious [PERIOD] Alice is difficult [PERIOD] Alice is condemned [PERIOD] Alice is vivacious [PERIOD]
Rules:
clean [IMPLY] charming [PERIOD]
condemned [AND] long [IMPLY] ambitious [PERIOD]
difficult [AND] ambitious [AND] charming [IMPLY] clean [PERIOD]
bright [AND] quaint [AND] charming [IMPLY] ambitious [PERIOD]
quaint [AND] ambitious [AND] clean [IMPLY] long [PERIOD]
different [IMPLY] ambitious [PERIOD]
vivacious [AND] ambitious [IMPLY] different [PERIOD]
difficult [AND] clean [IMPLY] vivacious [PERIOD]
joyous [AND] stormy [IMPLY] disgusted [PERIOD]
different [AND] difficult [AND] ambitious [IMPLY] stormy [PERIOD]
different [AND] charming [IMPLY] thoughtful [PERIOD]
ambitious [AND] vivacious [AND] difficult [IMPLY] stormy [PERIOD]
stormy [AND] ambitious [AND] quaint [IMPLY] charming [PERIOD]
quaint [AND] joyous [AND] difficult [IMPLY] stormy [PERIOD]
charming [AND] thoughtful [IMPLY] quaint [PERIOD]
stormy [IMPLY] difficult [PERIOD]
bright [IMPLY] condemned [PERIOD]
long [AND] quaint [AND] bright [IMPLY] different [PERIOD]
vivacious [AND] thoughtful [AND] disgusted [IMPLY] ambitious [PERIOD]
charming [IMPLY] vivacious [PERIOD]
quaint [AND] disgusted [AND] joyous [IMPLY] vivacious [PERIOD]
thoughtful [IMPLY] condemned [PERIOD]
vivacious [AND] disgusted [IMPLY] stormy [PERIOD]
disgusted [AND] difficult [IMPLY] condemned [PERIOD]
ambitious [AND] charming [IMPLY] quaint [PERIOD]
vivacious [IMPLY] charming [PERIOD]
clean [IMPLY] different [PERIOD]
quaint [AND] long [IMPLY] different [PERIOD]
ambitious [AND] disgusted [IMPLY] difficult [PERIOD]
joyous [AND] ambitious [AND] difficult [IMPLY] different [PERIOD]
vivacious [AND] bright [AND] joyous [IMPLY] difficult [PERIOD]
long [AND] disgusted [IMPLY] different [PERIOD]
different [AND] disgusted [IMPLY] thoughtful [PERIOD]
different [IMPLY] vivacious [PERIOD]
thoughtful [AND] ambitious [AND] joyous [IMPLY] disgusted [PERIOD]
ambitious [AND] disgusted [IMPLY] clean [PERIOD]
difficult [AND] ambitious [AND] vivacious [IMPLY] charming [PERIOD]
joyous [AND] long [IMPLY] clean [PERIOD]
stormy [AND] charming [IMPLY] bright [PERIOD]
bright [AND] charming [AND] joyous [IMPLY] clean [PERIOD]
stormy [AND] disgusted [AND] long [IMPLY] thoughtful [PERIOD]
quaint [AND] joyous [IMPLY] condemned [PERIOD]
difficult [AND] long [IMPLY] ambitious [PERIOD]
condemned [AND] clean [IMPLY] quaint [PERIOD]
disgusted [AND] difficult [AND] vivacious [IMPLY] condemned [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   vivacious ⇒ charming
   stormy ∧ charming ⇒ bright
",1,2
"Facts:  Alice is jittery [PERIOD] Alice is muddy [PERIOD] Alice is fearless [PERIOD] Alice is proud [PERIOD] Alice is confused [PERIOD] Alice is innocent [PERIOD] Alice is bad-tempered [PERIOD] Alice is average [PERIOD] Alice is pleasant [PERIOD] Alice is adorable [PERIOD] Alice is unpleasant [PERIOD] Alice is cooperative [PERIOD] Alice is spotless [PERIOD] Alice is vivacious [PERIOD] Alice is homely [PERIOD]
Rules:
proud [AND] confused [AND] cooperative [IMPLY] innocent [PERIOD]
homely [AND] grumpy [IMPLY] bad-tempered [PERIOD]
pleasant [AND] gleaming [AND] adorable [IMPLY] excited [PERIOD]
adorable [AND] spotless [IMPLY] bad-tempered [PERIOD]
weary [IMPLY] innocent [PERIOD]
homely [IMPLY] excited [PERIOD]
excited [IMPLY] adorable [PERIOD]
average [IMPLY] innocent [PERIOD]
grumpy [AND] vivacious [AND] weary [IMPLY] confused [PERIOD]
helpful [AND] bad-tempered [IMPLY] vivacious [PERIOD]
fearless [AND] muddy [AND] thoughtful [IMPLY] proud [PERIOD]
muddy [AND] confused [AND] homely [IMPLY] charming [PERIOD]
homely [AND] jittery [AND] average [IMPLY] grumpy [PERIOD]
thoughtful [IMPLY] pleasant [PERIOD]
jittery [AND] thoughtful [AND] adorable [IMPLY] average [PERIOD]
confused [AND] bad-tempered [AND] pleasant [IMPLY] jittery [PERIOD]
bad-tempered [AND] vivacious [IMPLY] grumpy [PERIOD]
muddy [AND] vivacious [IMPLY] cooperative [PERIOD]
thoughtful [IMPLY] spotless [PERIOD]
spotless [AND] adorable [AND] frightened [IMPLY] innocent [PERIOD]
proud [AND] spotless [IMPLY] grumpy [PERIOD]
jittery [AND] muddy [IMPLY] frightened [PERIOD]
spotless [IMPLY] excited [PERIOD]
excited [IMPLY] pleasant [PERIOD]
frightened [IMPLY] cooperative [PERIOD]
bad-tempered [IMPLY] fearless [PERIOD]
bad-tempered [AND] spotless [AND] innocent [IMPLY] homely [PERIOD]
charming [IMPLY] spotless [PERIOD]
fearless [AND] combative [IMPLY] innocent [PERIOD]
combative [IMPLY] innocent [PERIOD]
confused [AND] gleaming [IMPLY] homely [PERIOD]
pessimistic [IMPLY] charming [PERIOD]
bad-tempered [AND] combative [IMPLY] helpful [PERIOD]
excited [AND] innocent [IMPLY] average [PERIOD]
grumpy [AND] gleaming [IMPLY] vivacious [PERIOD]
helpful [AND] fearless [AND] confused [IMPLY] average [PERIOD]
innocent [IMPLY] jittery [PERIOD]
average [AND] cooperative [IMPLY] bad-tempered [PERIOD]
thoughtful [IMPLY] innocent [PERIOD]
fearless [AND] helpful [AND] pessimistic [IMPLY] spotless [PERIOD]
proud [AND] adorable [AND] average [IMPLY] innocent [PERIOD]
frightened [AND] spotless [AND] thoughtful [IMPLY] average [PERIOD]
bad-tempered [AND] adorable [IMPLY] spotless [PERIOD]
muddy [IMPLY] confused [PERIOD]
gleaming [IMPLY] average [PERIOD]
muddy [AND] grumpy [IMPLY] proud [PERIOD]
muddy [AND] proud [AND] weary [IMPLY] average [PERIOD]
grumpy [AND] bad-tempered [AND] thoughtful [IMPLY] adorable [PERIOD]
weary [AND] unpleasant [IMPLY] bad-tempered [PERIOD]
spotless [AND] pleasant [AND] combative [IMPLY] pessimistic [PERIOD]
excited [AND] homely [AND] spotless [IMPLY] helpful [PERIOD]
adorable [AND] excited [IMPLY] grumpy [PERIOD]
vivacious [AND] pessimistic [AND] spotless [IMPLY] frightened [PERIOD]
muddy [AND] spotless [AND] proud [IMPLY] vivacious [PERIOD]
spotless [AND] combative [AND] vivacious [IMPLY] pessimistic [PERIOD]
fearless [IMPLY] gleaming [PERIOD]
muddy [AND] excited [AND] bad-tempered [IMPLY] confused [PERIOD]
proud [AND] weary [AND] confused [IMPLY] pessimistic [PERIOD]
thoughtful [AND] unpleasant [AND] vivacious [IMPLY] pessimistic [PERIOD]
helpful [AND] charming [AND] homely [IMPLY] combative [PERIOD]
jittery [AND] adorable [AND] grumpy [IMPLY] pleasant [PERIOD]
excited [AND] fearless [IMPLY] grumpy [PERIOD]
weary [IMPLY] average [PERIOD]
confused [AND] grumpy [AND] thoughtful [IMPLY] unpleasant [PERIOD]
excited [AND] pleasant [AND] helpful [IMPLY] proud [PERIOD]
jittery [IMPLY] grumpy [PERIOD]
pessimistic [AND] grumpy [IMPLY] confused [PERIOD]
fearless [IMPLY] jittery [PERIOD]
average [IMPLY] grumpy [PERIOD]
average [AND] helpful [AND] pessimistic [IMPLY] pleasant [PERIOD]
gleaming [IMPLY] pleasant [PERIOD]
helpful [AND] confused [AND] homely [IMPLY] frightened [PERIOD]
average [AND] spotless [AND] weary [IMPLY] vivacious [PERIOD]
spotless [AND] vivacious [IMPLY] pleasant [PERIOD]
bad-tempered [AND] adorable [AND] homely [IMPLY] vivacious [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   homely ⇒ excited
   excited ∧ homely ∧ spotless ⇒ helpful
   muddy ∧ confused ∧ homely ⇒ charming
   helpful ∧ charming ∧ homely ⇒ combative
   spotless ∧ pleasant ∧ combative ⇒ pessimistic
",1,5
"Facts:  Alice is clean [PERIOD] Alice is rational [PERIOD] Alice is difficult [PERIOD] Alice is fearless [PERIOD] Alice is crowded [PERIOD]
Rules:
tender [AND] rational [AND] ugly [IMPLY] cruel [PERIOD]
crowded [AND] tender [IMPLY] ugly [PERIOD]
wide-eyed [AND] hypocritical [AND] fearless [IMPLY] embarrassed [PERIOD]
exuberant [IMPLY] tender [PERIOD]
zealous [AND] cruel [AND] cute [IMPLY] hypocritical [PERIOD]
tender [AND] hypocritical [IMPLY] muddy [PERIOD]
crowded [IMPLY] rational [PERIOD]
disgusted [IMPLY] hypocritical [PERIOD]
intellectual [IMPLY] crowded [PERIOD]
wide-eyed [AND] zealous [AND] crowded [IMPLY] ugly [PERIOD]
clean [IMPLY] intellectual [PERIOD]
hypocritical [AND] exuberant [IMPLY] cruel [PERIOD]
clean [AND] fearless [AND] cruel [IMPLY] crowded [PERIOD]
crowded [AND] wide-eyed [AND] tender [IMPLY] disgusted [PERIOD]
crowded [AND] difficult [AND] cute [IMPLY] ugly [PERIOD]
muddy [AND] ugly [AND] crowded [IMPLY] fearless [PERIOD]
zealous [AND] intellectual [AND] cruel [IMPLY] muddy [PERIOD]
exuberant [AND] cruel [IMPLY] fearless [PERIOD]
rational [IMPLY] exuberant [PERIOD]
ugly [AND] wide-eyed [IMPLY] difficult [PERIOD]
intellectual [IMPLY] rational [PERIOD]
cruel [IMPLY] disgusted [PERIOD]
clean [AND] intellectual [IMPLY] crowded [PERIOD]
intellectual [AND] tender [IMPLY] disgusted [PERIOD]
zealous [AND] wide-eyed [AND] intellectual [IMPLY] clean [PERIOD]
fearless [AND] cute [AND] zealous [IMPLY] tender [PERIOD]
cruel [IMPLY] zealous [PERIOD]
difficult [AND] cute [AND] tender [IMPLY] zealous [PERIOD]
cruel [AND] cute [IMPLY] tender [PERIOD]
difficult [AND] zealous [IMPLY] muddy [PERIOD]
fearless [AND] hypocritical [AND] embarrassed [IMPLY] rational [PERIOD]
exuberant [AND] embarrassed [AND] intellectual [IMPLY] hypocritical [PERIOD]
ugly [IMPLY] tender [PERIOD]
difficult [AND] fearless [IMPLY] muddy [PERIOD]
ugly [AND] zealous [AND] cruel [IMPLY] exuberant [PERIOD]
wide-eyed [AND] hypocritical [IMPLY] difficult [PERIOD]
crowded [AND] clean [AND] intellectual [IMPLY] embarrassed [PERIOD]
difficult [AND] rational [IMPLY] intellectual [PERIOD]
muddy [AND] ugly [AND] exuberant [IMPLY] fearless [PERIOD]
disgusted [AND] crowded [AND] difficult [IMPLY] muddy [PERIOD]
wide-eyed [AND] crowded [IMPLY] disgusted [PERIOD]
tender [IMPLY] difficult [PERIOD]
intellectual [AND] cute [IMPLY] fearless [PERIOD]
zealous [AND] muddy [IMPLY] fearless [PERIOD]
disgusted [AND] clean [AND] tender [IMPLY] muddy [PERIOD]
rational [IMPLY] ugly [PERIOD]
disgusted [AND] tender [AND] zealous [IMPLY] wide-eyed [PERIOD]
cute [AND] crowded [AND] tender [IMPLY] muddy [PERIOD]
Query: Alice is tender [PERIOD]","Proof chain:
   rational ⇒ exuberant
   exuberant ⇒ tender
",1,2
"Facts:  Alice is thoughtless [PERIOD] Alice is gorgeous [PERIOD] Alice is disobedient [PERIOD] Alice is worried [PERIOD] Alice is average [PERIOD] Alice is frail [PERIOD]
Rules:
homely [IMPLY] frail [PERIOD]
frail [AND] perfect [AND] worried [IMPLY] thoughtless [PERIOD]
disobedient [AND] joyous [IMPLY] easy [PERIOD]
homely [AND] dull [IMPLY] frail [PERIOD]
disobedient [AND] thoughtless [AND] average [IMPLY] horrible [PERIOD]
dull [IMPLY] perfect [PERIOD]
thoughtless [AND] stupid [IMPLY] sensible [PERIOD]
frail [AND] stupid [IMPLY] horrible [PERIOD]
tense [AND] frail [IMPLY] thoughtless [PERIOD]
alert [IMPLY] stupid [PERIOD]
frail [AND] tense [AND] joyous [IMPLY] sensible [PERIOD]
alert [AND] famous [AND] stupid [IMPLY] frail [PERIOD]
cute [AND] witty [IMPLY] joyous [PERIOD]
frail [IMPLY] dull [PERIOD]
gorgeous [AND] popular [IMPLY] homely [PERIOD]
perfect [AND] famous [AND] cute [IMPLY] tense [PERIOD]
cute [IMPLY] dull [PERIOD]
tense [AND] cute [AND] popular [IMPLY] disobedient [PERIOD]
frail [IMPLY] witty [PERIOD]
cute [AND] worried [IMPLY] frail [PERIOD]
average [AND] gorgeous [AND] disobedient [IMPLY] witty [PERIOD]
cute [AND] popular [IMPLY] famous [PERIOD]
average [IMPLY] stupid [PERIOD]
average [IMPLY] disobedient [PERIOD]
frightened [IMPLY] disobedient [PERIOD]
tense [AND] worried [AND] frightened [IMPLY] sensible [PERIOD]
frail [IMPLY] famous [PERIOD]
disobedient [AND] famous [AND] worried [IMPLY] cute [PERIOD]
popular [IMPLY] average [PERIOD]
gorgeous [AND] easy [IMPLY] sensible [PERIOD]
gorgeous [AND] average [IMPLY] cute [PERIOD]
popular [IMPLY] frail [PERIOD]
disobedient [AND] homely [AND] tense [IMPLY] famous [PERIOD]
tense [AND] stupid [IMPLY] popular [PERIOD]
witty [IMPLY] homely [PERIOD]
tense [AND] joyous [IMPLY] cute [PERIOD]
cute [IMPLY] witty [PERIOD]
famous [IMPLY] perfect [PERIOD]
easy [AND] alert [IMPLY] horrible [PERIOD]
homely [IMPLY] dull [PERIOD]
easy [AND] famous [IMPLY] joyous [PERIOD]
witty [IMPLY] cute [PERIOD]
famous [AND] thoughtless [IMPLY] witty [PERIOD]
dull [AND] thoughtless [AND] gorgeous [IMPLY] joyous [PERIOD]
thoughtless [AND] gorgeous [IMPLY] easy [PERIOD]
frail [AND] witty [AND] homely [IMPLY] joyous [PERIOD]
horrible [AND] cute [IMPLY] joyous [PERIOD]
homely [IMPLY] thoughtless [PERIOD]
perfect [AND] average [IMPLY] frightened [PERIOD]
gorgeous [IMPLY] perfect [PERIOD]
disobedient [IMPLY] homely [PERIOD]
worried [IMPLY] witty [PERIOD]
cute [IMPLY] easy [PERIOD]
homely [AND] worried [AND] thoughtless [IMPLY] alert [PERIOD]
tense [AND] easy [IMPLY] stupid [PERIOD]
joyous [IMPLY] dull [PERIOD]
joyous [IMPLY] homely [PERIOD]
thoughtless [IMPLY] average [PERIOD]
worried [AND] joyous [AND] alert [IMPLY] homely [PERIOD]
witty [AND] frightened [IMPLY] homely [PERIOD]
thoughtless [AND] horrible [IMPLY] gorgeous [PERIOD]
thoughtless [IMPLY] disobedient [PERIOD]
joyous [IMPLY] popular [PERIOD]
stupid [IMPLY] cute [PERIOD]
homely [IMPLY] frightened [PERIOD]
horrible [AND] frightened [AND] dull [IMPLY] frail [PERIOD]
witty [IMPLY] worried [PERIOD]
frightened [AND] stupid [AND] tense [IMPLY] horrible [PERIOD]
homely [AND] thoughtless [AND] stupid [IMPLY] disobedient [PERIOD]
frail [AND] homely [IMPLY] average [PERIOD]
sensible [AND] worried [IMPLY] perfect [PERIOD]
gorgeous [AND] frail [AND] sensible [IMPLY] popular [PERIOD]
thoughtless [IMPLY] easy [PERIOD]
joyous [AND] witty [AND] perfect [IMPLY] alert [PERIOD]
sensible [IMPLY] popular [PERIOD]
horrible [AND] frightened [AND] easy [IMPLY] average [PERIOD]
worried [AND] joyous [IMPLY] horrible [PERIOD]
homely [AND] average [AND] easy [IMPLY] thoughtless [PERIOD]
popular [IMPLY] disobedient [PERIOD]
thoughtless [AND] dull [AND] frail [IMPLY] sensible [PERIOD]
Query: Alice is joyous [PERIOD]","Proof chain:
   frail ⇒ dull
   dull ∧ thoughtless ∧ gorgeous ⇒ joyous
",1,2
"Facts:  Alice is elated [PERIOD] Alice is lucky [PERIOD]
Rules:
good [IMPLY] inexpensive [PERIOD]
vivacious [AND] anxious [IMPLY] disgusted [PERIOD]
cute [IMPLY] anxious [PERIOD]
vivacious [AND] cute [AND] average [IMPLY] reserved [PERIOD]
worried [IMPLY] worrisome [PERIOD]
average [AND] elated [IMPLY] worried [PERIOD]
worrisome [AND] agreeable [AND] fragile [IMPLY] anxious [PERIOD]
stormy [AND] thoughtless [IMPLY] disgusted [PERIOD]
uptight [AND] vivacious [IMPLY] average [PERIOD]
fragile [AND] impartial [IMPLY] lucky [PERIOD]
agreeable [IMPLY] impartial [PERIOD]
stormy [IMPLY] agreeable [PERIOD]
agreeable [AND] fragile [IMPLY] impartial [PERIOD]
friendly [AND] impartial [AND] thoughtless [IMPLY] vivacious [PERIOD]
reserved [AND] uptight [AND] stormy [IMPLY] fragile [PERIOD]
condemned [AND] disgusted [IMPLY] fragile [PERIOD]
fragile [IMPLY] serious [PERIOD]
agreeable [AND] lucky [AND] uptight [IMPLY] vivacious [PERIOD]
fragile [IMPLY] stormy [PERIOD]
lucky [AND] worried [IMPLY] condemned [PERIOD]
lucky [AND] impartial [IMPLY] good [PERIOD]
serious [AND] impartial [AND] uptight [IMPLY] reserved [PERIOD]
inexpensive [AND] anxious [AND] worried [IMPLY] uptight [PERIOD]
vivacious [IMPLY] agreeable [PERIOD]
cute [IMPLY] friendly [PERIOD]
impartial [AND] elated [IMPLY] reserved [PERIOD]
reserved [AND] impartial [IMPLY] uptight [PERIOD]
uptight [IMPLY] anxious [PERIOD]
stormy [IMPLY] good [PERIOD]
fragile [AND] vivacious [AND] impartial [IMPLY] agreeable [PERIOD]
average [IMPLY] serious [PERIOD]
good [AND] cute [AND] impartial [IMPLY] average [PERIOD]
impartial [IMPLY] cute [PERIOD]
worrisome [IMPLY] inexpensive [PERIOD]
thoughtless [AND] worrisome [IMPLY] disgusted [PERIOD]
fragile [AND] uptight [AND] anxious [IMPLY] elated [PERIOD]
serious [AND] worried [IMPLY] stormy [PERIOD]
serious [AND] worried [IMPLY] average [PERIOD]
fragile [IMPLY] lucky [PERIOD]
agreeable [IMPLY] worrisome [PERIOD]
inexpensive [AND] wandering [AND] elated [IMPLY] cute [PERIOD]
average [IMPLY] reserved [PERIOD]
elated [IMPLY] inexpensive [PERIOD]
impartial [AND] good [IMPLY] reserved [PERIOD]
good [AND] cute [IMPLY] disgusted [PERIOD]
wandering [IMPLY] serious [PERIOD]
condemned [AND] disgusted [IMPLY] impartial [PERIOD]
worried [IMPLY] uptight [PERIOD]
good [IMPLY] condemned [PERIOD]
worried [AND] worrisome [IMPLY] impartial [PERIOD]
lucky [AND] thoughtless [AND] inexpensive [IMPLY] cute [PERIOD]
reserved [AND] worried [IMPLY] disgusted [PERIOD]
lucky [IMPLY] anxious [PERIOD]
thoughtless [AND] disgusted [AND] cute [IMPLY] good [PERIOD]
friendly [AND] disgusted [AND] good [IMPLY] worrisome [PERIOD]
average [AND] worrisome [IMPLY] inexpensive [PERIOD]
agreeable [IMPLY] friendly [PERIOD]
good [AND] worried [IMPLY] worrisome [PERIOD]
worried [IMPLY] disgusted [PERIOD]
thoughtless [AND] good [AND] wandering [IMPLY] vivacious [PERIOD]
cute [AND] thoughtless [AND] lucky [IMPLY] wandering [PERIOD]
condemned [AND] uptight [IMPLY] elated [PERIOD]
uptight [AND] vivacious [AND] agreeable [IMPLY] average [PERIOD]
wandering [AND] good [IMPLY] cute [PERIOD]
wandering [AND] good [IMPLY] anxious [PERIOD]
thoughtless [AND] worried [AND] worrisome [IMPLY] uptight [PERIOD]
stormy [AND] wandering [AND] good [IMPLY] disgusted [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   elated ⇒ inexpensive
   lucky ⇒ anxious
   Cannot apply rule “inexpensive ∧ anxious ∧ worried ⇒ uptight” because missing: worried.
   Cannot apply rule “reserved ∧ impartial ⇒ uptight” because missing: reserved, impartial.
   Cannot apply rule “worried ⇒ uptight” because missing: worried.
   Cannot apply rule “thoughtless ∧ worried ∧ worrisome ⇒ uptight” because missing: thoughtless, worried, worrisome.
",0,6
"Facts:  Alice is agreeable [PERIOD] Alice is crowded [PERIOD] Alice is perfect [PERIOD] Alice is modern [PERIOD] Alice is vivacious [PERIOD]
Rules:
rude [AND] outrageous [AND] vivacious [IMPLY] amused [PERIOD]
rude [AND] broad-minded [AND] perfect [IMPLY] crowded [PERIOD]
mean [AND] helpless [AND] crowded [IMPLY] amused [PERIOD]
broad-minded [IMPLY] ugliest [PERIOD]
friendly [IMPLY] gleaming [PERIOD]
mean [IMPLY] stubborn [PERIOD]
wandering [IMPLY] modern [PERIOD]
amused [IMPLY] inexpensive [PERIOD]
rude [AND] vivacious [IMPLY] helpless [PERIOD]
stubborn [AND] blushing [IMPLY] rude [PERIOD]
stubborn [AND] perfect [IMPLY] agreeable [PERIOD]
inexpensive [AND] talkative [AND] reserved [IMPLY] rude [PERIOD]
crowded [IMPLY] wandering [PERIOD]
straightforward [AND] broad-minded [IMPLY] amused [PERIOD]
ugliest [AND] friendly [IMPLY] outrageous [PERIOD]
helpless [AND] perfect [AND] modern [IMPLY] broad-minded [PERIOD]
stubborn [AND] inexpensive [IMPLY] wandering [PERIOD]
ugliest [AND] rude [AND] vivacious [IMPLY] broad-minded [PERIOD]
loving [AND] friendly [AND] agreeable [IMPLY] mean [PERIOD]
vivacious [AND] rude [IMPLY] wandering [PERIOD]
inexpensive [AND] helpless [IMPLY] straightforward [PERIOD]
gleaming [AND] perfect [IMPLY] inexpensive [PERIOD]
gleaming [IMPLY] crowded [PERIOD]
friendly [AND] helpless [AND] talkative [IMPLY] blushing [PERIOD]
loving [AND] vivacious [AND] inexpensive [IMPLY] talkative [PERIOD]
blushing [AND] perfect [AND] vivacious [IMPLY] straightforward [PERIOD]
vivacious [IMPLY] rude [PERIOD]
perfect [AND] loving [IMPLY] ugliest [PERIOD]
crowded [IMPLY] helpless [PERIOD]
friendly [IMPLY] wandering [PERIOD]
reserved [IMPLY] broad-minded [PERIOD]
agreeable [IMPLY] crowded [PERIOD]
vivacious [AND] agreeable [IMPLY] rude [PERIOD]
reserved [IMPLY] gleaming [PERIOD]
broad-minded [IMPLY] inexpensive [PERIOD]
reserved [AND] outrageous [AND] muddy [IMPLY] mean [PERIOD]
inexpensive [IMPLY] muddy [PERIOD]
modern [IMPLY] mean [PERIOD]
vivacious [AND] perfect [IMPLY] rude [PERIOD]
vivacious [AND] amused [IMPLY] blushing [PERIOD]
loving [AND] blushing [IMPLY] broad-minded [PERIOD]
blushing [IMPLY] wandering [PERIOD]
friendly [AND] loving [AND] rude [IMPLY] outrageous [PERIOD]
rude [AND] perfect [AND] talkative [IMPLY] modern [PERIOD]
ugliest [AND] perfect [IMPLY] crowded [PERIOD]
stubborn [AND] reserved [IMPLY] rude [PERIOD]
outrageous [IMPLY] friendly [PERIOD]
agreeable [AND] talkative [AND] loving [IMPLY] broad-minded [PERIOD]
perfect [AND] amused [IMPLY] stubborn [PERIOD]
straightforward [IMPLY] mean [PERIOD]
helpless [AND] friendly [IMPLY] muddy [PERIOD]
stubborn [AND] broad-minded [AND] loving [IMPLY] friendly [PERIOD]
talkative [AND] straightforward [IMPLY] amused [PERIOD]
helpless [AND] blushing [IMPLY] rude [PERIOD]
friendly [AND] broad-minded [AND] gleaming [IMPLY] vivacious [PERIOD]
agreeable [AND] mean [AND] friendly [IMPLY] wandering [PERIOD]
amused [AND] modern [IMPLY] stubborn [PERIOD]
perfect [IMPLY] mean [PERIOD]
mean [AND] outrageous [IMPLY] broad-minded [PERIOD]
gleaming [IMPLY] agreeable [PERIOD]
muddy [AND] perfect [IMPLY] friendly [PERIOD]
loving [AND] blushing [IMPLY] modern [PERIOD]
inexpensive [AND] talkative [AND] outrageous [IMPLY] amused [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   modern ⇒ mean
   mean ⇒ stubborn
",1,2
"Facts: 
Rules:
gifted [AND] ugly [AND] fancy [IMPLY] embarrassed [PERIOD]
fancy [AND] shiny [AND] sensible [IMPLY] foolish [PERIOD]
embarrassed [IMPLY] gifted [PERIOD]
rational [AND] talkative [IMPLY] shiny [PERIOD]
ugly [AND] embarrassed [IMPLY] thoughtful [PERIOD]
confident [AND] reserved [AND] frightened [IMPLY] foolish [PERIOD]
fancy [IMPLY] thoughtful [PERIOD]
rational [IMPLY] pessimistic [PERIOD]
reserved [AND] fancy [IMPLY] embarrassed [PERIOD]
confident [AND] thoughtless [AND] reserved [IMPLY] embarrassed [PERIOD]
embarrassed [AND] thoughtful [IMPLY] sensible [PERIOD]
reserved [AND] talkative [IMPLY] ambitious [PERIOD]
gifted [AND] sensible [IMPLY] ambitious [PERIOD]
embarrassed [AND] foolish [AND] dishonest [IMPLY] frightened [PERIOD]
talkative [AND] courageous [IMPLY] bright [PERIOD]
reserved [AND] sensible [AND] wide-eyed [IMPLY] thoughtful [PERIOD]
ambitious [AND] fancy [AND] dishonest [IMPLY] tense [PERIOD]
powerful [IMPLY] bright [PERIOD]
embarrassed [AND] fancy [AND] ambitious [IMPLY] bright [PERIOD]
shiny [AND] adorable [IMPLY] pleasant [PERIOD]
confident [IMPLY] wide-eyed [PERIOD]
thoughtless [AND] ugly [IMPLY] wide-eyed [PERIOD]
ugly [IMPLY] embarrassed [PERIOD]
foolish [AND] thoughtful [IMPLY] gifted [PERIOD]
powerful [AND] adorable [IMPLY] bright [PERIOD]
pleasant [AND] gifted [AND] talented [IMPLY] lonely [PERIOD]
embarrassed [AND] adorable [AND] gifted [IMPLY] bright [PERIOD]
sensible [IMPLY] shiny [PERIOD]
shiny [AND] ugly [AND] tame [IMPLY] courageous [PERIOD]
ugly [AND] gifted [AND] talented [IMPLY] reserved [PERIOD]
rational [AND] dishonest [AND] ambitious [IMPLY] talkative [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   No rule concludes “tame.”
",0,1
"Facts:  Alice is helpful [PERIOD] Alice is gorgeous [PERIOD] Alice is stupid [PERIOD] Alice is mysterious [PERIOD] Alice is enchanting [PERIOD] Alice is strange [PERIOD] Alice is outrageous [PERIOD] Alice is worrisome [PERIOD] Alice is innocent [PERIOD] Alice is outstanding [PERIOD] Alice is spotless [PERIOD]
Rules:
victorious [AND] thoughtful [AND] inquisitive [IMPLY] strange [PERIOD]
silly [IMPLY] reserved [PERIOD]
perfect [IMPLY] good [PERIOD]
helpful [AND] outstanding [IMPLY] gorgeous [PERIOD]
innocent [AND] different [IMPLY] disgusted [PERIOD]
gorgeous [AND] mysterious [AND] stormy [IMPLY] good [PERIOD]
stormy [IMPLY] average [PERIOD]
different [AND] thoughtful [IMPLY] outstanding [PERIOD]
worrisome [IMPLY] silly [PERIOD]
supportive [AND] helpful [AND] reserved [IMPLY] worrisome [PERIOD]
helpful [AND] spotless [AND] perfect [IMPLY] silly [PERIOD]
helpful [IMPLY] innocent [PERIOD]
innocent [IMPLY] strange [PERIOD]
vivacious [IMPLY] stupid [PERIOD]
fancy [AND] gorgeous [AND] mysterious [IMPLY] average [PERIOD]
disgusted [AND] helpful [AND] worrisome [IMPLY] victorious [PERIOD]
worrisome [IMPLY] spotless [PERIOD]
stupid [AND] perfect [IMPLY] outstanding [PERIOD]
perfect [IMPLY] outrageous [PERIOD]
fancy [AND] perfect [IMPLY] vivacious [PERIOD]
disgusted [AND] strange [AND] innocent [IMPLY] stormy [PERIOD]
innocent [IMPLY] perfect [PERIOD]
stupid [IMPLY] strange [PERIOD]
stupid [AND] different [AND] good [IMPLY] perfect [PERIOD]
strange [AND] outstanding [IMPLY] enchanting [PERIOD]
reserved [AND] mysterious [AND] inquisitive [IMPLY] stupid [PERIOD]
innocent [AND] perfect [AND] vivacious [IMPLY] outstanding [PERIOD]
innocent [IMPLY] disgusted [PERIOD]
different [IMPLY] inquisitive [PERIOD]
stupid [AND] perfect [IMPLY] reserved [PERIOD]
anxious [AND] innocent [IMPLY] stupid [PERIOD]
disgusted [AND] outrageous [IMPLY] good [PERIOD]
different [AND] victorious [IMPLY] spotless [PERIOD]
inquisitive [AND] perfect [IMPLY] average [PERIOD]
anxious [IMPLY] stupid [PERIOD]
disgusted [AND] average [IMPLY] inquisitive [PERIOD]
innocent [AND] thoughtful [IMPLY] outrageous [PERIOD]
supportive [AND] vivacious [AND] worrisome [IMPLY] innocent [PERIOD]
gorgeous [IMPLY] helpful [PERIOD]
stormy [AND] spotless [AND] average [IMPLY] strange [PERIOD]
thoughtful [AND] disgusted [AND] stormy [IMPLY] helpful [PERIOD]
different [AND] average [AND] inquisitive [IMPLY] thoughtful [PERIOD]
helpful [IMPLY] good [PERIOD]
supportive [IMPLY] helpful [PERIOD]
spotless [AND] stupid [IMPLY] enchanting [PERIOD]
average [AND] mysterious [AND] supportive [IMPLY] vivacious [PERIOD]
spotless [IMPLY] gorgeous [PERIOD]
helpful [AND] good [IMPLY] victorious [PERIOD]
mysterious [AND] supportive [AND] fancy [IMPLY] stormy [PERIOD]
enchanting [AND] reserved [IMPLY] worrisome [PERIOD]
disgusted [IMPLY] inquisitive [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   innocent ⇒ disgusted
   disgusted ⇒ inquisitive
   innocent ⇒ perfect
   inquisitive ∧ perfect ⇒ average
",1,4
"Facts:  Alice is muddy [PERIOD]
Rules:
gleaming [IMPLY] muddy [PERIOD]
long [AND] charming [IMPLY] sleepy [PERIOD]
wrong [AND] sleepy [AND] old-fashioned [IMPLY] talented [PERIOD]
silly [IMPLY] innocent [PERIOD]
wrong [AND] homely [IMPLY] gleaming [PERIOD]
long [AND] innocent [IMPLY] silly [PERIOD]
sleepy [IMPLY] bossy [PERIOD]
gleaming [AND] charming [IMPLY] sleepy [PERIOD]
talented [IMPLY] sleepy [PERIOD]
charming [IMPLY] muddy [PERIOD]
gleaming [AND] sleepy [AND] homely [IMPLY] talented [PERIOD]
charming [IMPLY] sleepy [PERIOD]
homely [IMPLY] bossy [PERIOD]
elegant [AND] muddy [AND] charming [IMPLY] bossy [PERIOD]
homely [AND] talented [AND] charming [IMPLY] wrong [PERIOD]
silly [AND] talented [IMPLY] innocent [PERIOD]
elegant [IMPLY] old-fashioned [PERIOD]
bossy [IMPLY] silly [PERIOD]
muddy [AND] bossy [AND] old-fashioned [IMPLY] gleaming [PERIOD]
elegant [IMPLY] wrong [PERIOD]
talented [AND] muddy [IMPLY] elegant [PERIOD]
charming [AND] muddy [AND] bossy [IMPLY] gleaming [PERIOD]
silly [AND] long [AND] muddy [IMPLY] elegant [PERIOD]
gleaming [IMPLY] bossy [PERIOD]
talented [IMPLY] elegant [PERIOD]
sleepy [AND] talented [IMPLY] charming [PERIOD]
old-fashioned [AND] long [IMPLY] charming [PERIOD]
muddy [IMPLY] old-fashioned [PERIOD]
innocent [AND] old-fashioned [AND] charming [IMPLY] bossy [PERIOD]
sleepy [IMPLY] long [PERIOD]
long [IMPLY] old-fashioned [PERIOD]
long [AND] innocent [AND] silly [IMPLY] wrong [PERIOD]
homely [AND] talented [IMPLY] sleepy [PERIOD]
bossy [AND] homely [AND] muddy [IMPLY] silly [PERIOD]
innocent [AND] gleaming [AND] sleepy [IMPLY] long [PERIOD]
innocent [IMPLY] old-fashioned [PERIOD]
innocent [AND] homely [IMPLY] silly [PERIOD]
silly [AND] wrong [AND] sleepy [IMPLY] homely [PERIOD]
charming [AND] sleepy [IMPLY] bossy [PERIOD]
old-fashioned [IMPLY] gleaming [PERIOD]
muddy [AND] old-fashioned [IMPLY] bossy [PERIOD]
innocent [AND] long [AND] talented [IMPLY] muddy [PERIOD]
sleepy [AND] charming [IMPLY] gleaming [PERIOD]
wrong [AND] bossy [AND] muddy [IMPLY] old-fashioned [PERIOD]
long [AND] silly [IMPLY] charming [PERIOD]
charming [AND] talented [AND] sleepy [IMPLY] muddy [PERIOD]
charming [AND] bossy [AND] elegant [IMPLY] muddy [PERIOD]
bossy [AND] elegant [IMPLY] long [PERIOD]
elegant [AND] bossy [AND] homely [IMPLY] wrong [PERIOD]
gleaming [AND] talented [AND] bossy [IMPLY] muddy [PERIOD]
charming [AND] long [AND] talented [IMPLY] elegant [PERIOD]
wrong [IMPLY] long [PERIOD]
Query: Alice is elegant [PERIOD]","Proof chain:
   Cannot apply rule “talented ∧ muddy ⇒ elegant” because missing: talented.
   muddy ⇒ old-fashioned
   muddy ∧ old-fashioned ⇒ bossy
   bossy ⇒ silly
   Cannot apply rule “silly ∧ long ∧ muddy ⇒ elegant” because missing: long.
   Cannot apply rule “talented ⇒ elegant” because missing: talented.
   Cannot apply rule “charming ∧ long ∧ talented ⇒ elegant” because missing: charming, long, talented.
",0,7
"Facts: 
Rules:
cooperative [AND] zealous [AND] stupid [IMPLY] excited [PERIOD]
cooperative [AND] gleaming [AND] stupid [IMPLY] plain [PERIOD]
foolish [IMPLY] plain [PERIOD]
cooperative [AND] fragile [IMPLY] zealous [PERIOD]
stupid [IMPLY] loving [PERIOD]
loving [AND] zealous [AND] excited [IMPLY] plain [PERIOD]
gleaming [IMPLY] foolish [PERIOD]
gleaming [AND] plain [IMPLY] fragile [PERIOD]
cooperative [AND] excited [AND] loving [IMPLY] stupid [PERIOD]
stupid [AND] cooperative [IMPLY] zealous [PERIOD]
foolish [AND] gleaming [AND] fragile [IMPLY] zealous [PERIOD]
fragile [IMPLY] loving [PERIOD]
zealous [IMPLY] foolish [PERIOD]
stupid [AND] cooperative [IMPLY] loving [PERIOD]
cooperative [IMPLY] stupid [PERIOD]
excited [AND] foolish [IMPLY] stupid [PERIOD]
excited [AND] plain [AND] fragile [IMPLY] loving [PERIOD]
plain [AND] foolish [IMPLY] fragile [PERIOD]
foolish [AND] plain [AND] gleaming [IMPLY] cooperative [PERIOD]
stupid [AND] plain [IMPLY] excited [PERIOD]
fragile [AND] loving [IMPLY] plain [PERIOD]
plain [AND] stupid [AND] zealous [IMPLY] foolish [PERIOD]
stupid [AND] loving [AND] fragile [IMPLY] cooperative [PERIOD]
stupid [IMPLY] plain [PERIOD]
fragile [AND] plain [IMPLY] loving [PERIOD]
loving [AND] excited [IMPLY] stupid [PERIOD]
loving [IMPLY] fragile [PERIOD]
plain [AND] loving [AND] stupid [IMPLY] fragile [PERIOD]
excited [AND] fragile [AND] stupid [IMPLY] cooperative [PERIOD]
plain [AND] foolish [IMPLY] excited [PERIOD]
stupid [AND] gleaming [IMPLY] excited [PERIOD]
fragile [AND] loving [AND] cooperative [IMPLY] foolish [PERIOD]
zealous [AND] fragile [AND] cooperative [IMPLY] foolish [PERIOD]
Query: Alice is plain [PERIOD]","Proof chain:
   Cannot apply rule “cooperative ∧ gleaming ∧ stupid ⇒ plain” because missing: cooperative, gleaming, stupid.
   Cannot apply rule “foolish ⇒ plain” because missing: foolish.
   Cannot apply rule “loving ∧ zealous ∧ excited ⇒ plain” because missing: loving, zealous, excited.
   Cannot apply rule “fragile ∧ loving ⇒ plain” because missing: fragile, loving.
   Cannot apply rule “stupid ⇒ plain” because missing: stupid.
",0,5
"Facts:  Alice is broad-minded [PERIOD] Alice is amused [PERIOD] Alice is ugly [PERIOD]
Rules:
amused [IMPLY] ugly [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is inquisitive [PERIOD] Alice is friendly [PERIOD] Alice is strange [PERIOD] Alice is tender [PERIOD]
Rules:
serious [AND] innocent [AND] light [IMPLY] unpleasant [PERIOD]
lucky [AND] tender [IMPLY] disobedient [PERIOD]
inquisitive [AND] lucky [IMPLY] wrong [PERIOD]
wrong [IMPLY] exuberant [PERIOD]
light [AND] innocent [AND] tender [IMPLY] strange [PERIOD]
strange [AND] lucky [AND] foolish [IMPLY] reserved [PERIOD]
lucky [AND] mean [AND] attractive [IMPLY] reserved [PERIOD]
average [AND] innocent [IMPLY] mean [PERIOD]
tender [IMPLY] broad-minded [PERIOD]
disobedient [IMPLY] bored [PERIOD]
strange [AND] bored [AND] frantic [IMPLY] diplomatic [PERIOD]
frantic [AND] innocent [AND] strange [IMPLY] mean [PERIOD]
broad-minded [AND] stormy [IMPLY] attractive [PERIOD]
wrong [IMPLY] light [PERIOD]
reserved [AND] attractive [AND] innocent [IMPLY] inquisitive [PERIOD]
frantic [AND] foolish [AND] serious [IMPLY] disobedient [PERIOD]
serious [AND] tender [AND] ugliest [IMPLY] foolish [PERIOD]
broad-minded [IMPLY] lucky [PERIOD]
foolish [AND] frantic [IMPLY] innocent [PERIOD]
exuberant [IMPLY] mean [PERIOD]
stormy [IMPLY] inquisitive [PERIOD]
exuberant [AND] gorgeous [AND] foolish [IMPLY] fearless [PERIOD]
average [IMPLY] stormy [PERIOD]
shiny [AND] tender [IMPLY] mean [PERIOD]
light [IMPLY] talkative [PERIOD]
ambitious [IMPLY] wrong [PERIOD]
attractive [AND] frantic [AND] old-fashioned [IMPLY] tender [PERIOD]
frantic [AND] reserved [AND] attractive [IMPLY] old-fashioned [PERIOD]
bored [AND] strange [AND] gorgeous [IMPLY] wrong [PERIOD]
scared [AND] unpleasant [IMPLY] tender [PERIOD]
gorgeous [IMPLY] tender [PERIOD]
average [AND] light [IMPLY] shiny [PERIOD]
inquisitive [IMPLY] fearless [PERIOD]
tender [AND] ambitious [IMPLY] diplomatic [PERIOD]
talkative [AND] serious [AND] light [IMPLY] bored [PERIOD]
scared [AND] exuberant [IMPLY] innocent [PERIOD]
ugliest [IMPLY] friendly [PERIOD]
diplomatic [IMPLY] foolish [PERIOD]
disobedient [AND] bored [AND] talkative [IMPLY] tender [PERIOD]
serious [AND] tender [AND] strange [IMPLY] light [PERIOD]
light [AND] friendly [AND] bored [IMPLY] innocent [PERIOD]
light [AND] exuberant [IMPLY] frantic [PERIOD]
attractive [IMPLY] friendly [PERIOD]
strange [IMPLY] bored [PERIOD]
friendly [IMPLY] tender [PERIOD]
reserved [AND] wrong [IMPLY] talkative [PERIOD]
fearless [IMPLY] inquisitive [PERIOD]
average [IMPLY] serious [PERIOD]
bored [AND] fearless [IMPLY] old-fashioned [PERIOD]
average [IMPLY] innocent [PERIOD]
bored [AND] strange [IMPLY] shiny [PERIOD]
tender [IMPLY] serious [PERIOD]
ugliest [IMPLY] average [PERIOD]
scared [AND] inquisitive [AND] serious [IMPLY] light [PERIOD]
innocent [IMPLY] lucky [PERIOD]
lucky [AND] unpleasant [AND] bored [IMPLY] wrong [PERIOD]
serious [AND] broad-minded [AND] exuberant [IMPLY] fearless [PERIOD]
tender [AND] lucky [AND] inquisitive [IMPLY] ugliest [PERIOD]
inquisitive [AND] fearless [IMPLY] foolish [PERIOD]
foolish [IMPLY] diplomatic [PERIOD]
unpleasant [IMPLY] serious [PERIOD]
wrong [IMPLY] tender [PERIOD]
old-fashioned [AND] lucky [AND] diplomatic [IMPLY] average [PERIOD]
bored [IMPLY] tender [PERIOD]
old-fashioned [AND] foolish [AND] fearless [IMPLY] tender [PERIOD]
ambitious [AND] reserved [IMPLY] unpleasant [PERIOD]
wrong [AND] average [IMPLY] reserved [PERIOD]
unpleasant [IMPLY] ugliest [PERIOD]
scared [AND] gorgeous [IMPLY] exuberant [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
   tender ⇒ broad-minded
   broad-minded ⇒ lucky
   inquisitive ⇒ fearless
   inquisitive ∧ fearless ⇒ foolish
   strange ∧ lucky ∧ foolish ⇒ reserved
",1,5
"Facts:  Alice is tame [PERIOD] Alice is bossy [PERIOD] Alice is lonely [PERIOD]
Rules:
versatile [AND] thoughtless [AND] blushing [IMPLY] lonely [PERIOD]
tame [AND] versatile [AND] thoughtful [IMPLY] cooperative [PERIOD]
bossy [IMPLY] helpless [PERIOD]
uptight [IMPLY] thoughtful [PERIOD]
talented [AND] messy [AND] cooperative [IMPLY] innocent [PERIOD]
versatile [AND] horrible [IMPLY] helpless [PERIOD]
horrible [AND] talented [IMPLY] helpless [PERIOD]
serious [IMPLY] inquisitive [PERIOD]
witty [AND] tame [AND] homely [IMPLY] innocent [PERIOD]
messy [AND] thoughtful [IMPLY] witty [PERIOD]
sleepy [AND] homely [AND] lonely [IMPLY] frightened [PERIOD]
thoughtful [AND] helpless [AND] lonely [IMPLY] cooperative [PERIOD]
witty [AND] cooperative [AND] versatile [IMPLY] thoughtless [PERIOD]
blushing [IMPLY] thoughtful [PERIOD]
frightened [AND] versatile [AND] gifted [IMPLY] thoughtful [PERIOD]
uptight [IMPLY] excited [PERIOD]
frightened [IMPLY] cooperative [PERIOD]
frightened [AND] tame [AND] cooperative [IMPLY] thoughtless [PERIOD]
talented [IMPLY] excited [PERIOD]
innocent [IMPLY] messy [PERIOD]
homely [AND] innocent [IMPLY] joyous [PERIOD]
blushing [AND] bossy [IMPLY] talented [PERIOD]
excited [IMPLY] serious [PERIOD]
homely [IMPLY] uptight [PERIOD]
helpless [IMPLY] horrible [PERIOD]
blushing [IMPLY] messy [PERIOD]
versatile [AND] talented [IMPLY] witty [PERIOD]
thoughtless [AND] thoughtful [IMPLY] helpless [PERIOD]
excited [AND] sleepy [AND] helpless [IMPLY] uptight [PERIOD]
blushing [IMPLY] innocent [PERIOD]
lonely [IMPLY] inquisitive [PERIOD]
homely [AND] excited [IMPLY] horrible [PERIOD]
joyous [AND] uptight [AND] cooperative [IMPLY] blushing [PERIOD]
bossy [AND] uptight [IMPLY] messy [PERIOD]
excited [AND] frightened [AND] thoughtful [IMPLY] gifted [PERIOD]
messy [IMPLY] blushing [PERIOD]
homely [AND] witty [AND] thoughtless [IMPLY] messy [PERIOD]
horrible [IMPLY] tame [PERIOD]
gifted [AND] sleepy [AND] innocent [IMPLY] frightened [PERIOD]
helpless [IMPLY] innocent [PERIOD]
witty [AND] blushing [AND] excited [IMPLY] inquisitive [PERIOD]
versatile [IMPLY] excited [PERIOD]
horrible [IMPLY] joyous [PERIOD]
thoughtful [IMPLY] witty [PERIOD]
lonely [AND] thoughtful [AND] bossy [IMPLY] messy [PERIOD]
helpless [AND] sleepy [IMPLY] homely [PERIOD]
joyous [AND] talented [IMPLY] thoughtful [PERIOD]
uptight [IMPLY] inquisitive [PERIOD]
excited [AND] helpless [AND] uptight [IMPLY] lonely [PERIOD]
gifted [IMPLY] thoughtless [PERIOD]
uptight [IMPLY] thoughtless [PERIOD]
gifted [AND] frightened [IMPLY] bossy [PERIOD]
witty [IMPLY] excited [PERIOD]
homely [AND] messy [AND] sleepy [IMPLY] lonely [PERIOD]
frightened [AND] excited [AND] cooperative [IMPLY] thoughtless [PERIOD]
thoughtless [AND] bossy [AND] thoughtful [IMPLY] homely [PERIOD]
inquisitive [AND] joyous [IMPLY] thoughtful [PERIOD]
sleepy [IMPLY] homely [PERIOD]
blushing [AND] witty [AND] horrible [IMPLY] excited [PERIOD]
excited [AND] thoughtless [AND] uptight [IMPLY] witty [PERIOD]
witty [AND] excited [AND] innocent [IMPLY] sleepy [PERIOD]
tame [AND] excited [IMPLY] blushing [PERIOD]
versatile [AND] tame [IMPLY] helpless [PERIOD]
innocent [AND] thoughtful [IMPLY] sleepy [PERIOD]
innocent [IMPLY] talented [PERIOD]
lonely [AND] uptight [AND] serious [IMPLY] blushing [PERIOD]
inquisitive [AND] thoughtless [AND] innocent [IMPLY] uptight [PERIOD]
frightened [AND] gifted [IMPLY] horrible [PERIOD]
horrible [AND] messy [IMPLY] talented [PERIOD]
inquisitive [IMPLY] sleepy [PERIOD]
sleepy [AND] versatile [IMPLY] talented [PERIOD]
innocent [AND] thoughtless [IMPLY] uptight [PERIOD]
thoughtless [IMPLY] uptight [PERIOD]
frightened [AND] horrible [IMPLY] messy [PERIOD]
joyous [AND] frightened [AND] innocent [IMPLY] thoughtful [PERIOD]
talented [AND] messy [AND] excited [IMPLY] tame [PERIOD]
talented [AND] thoughtless [AND] innocent [IMPLY] lonely [PERIOD]
serious [AND] lonely [IMPLY] witty [PERIOD]
inquisitive [AND] horrible [IMPLY] homely [PERIOD]
joyous [AND] bossy [AND] gifted [IMPLY] talented [PERIOD]
thoughtful [AND] thoughtless [AND] innocent [IMPLY] serious [PERIOD]
innocent [IMPLY] serious [PERIOD]
talented [IMPLY] joyous [PERIOD]
excited [AND] witty [AND] serious [IMPLY] inquisitive [PERIOD]
innocent [AND] cooperative [IMPLY] horrible [PERIOD]
serious [AND] excited [AND] joyous [IMPLY] uptight [PERIOD]
Query: Alice is thoughtful [PERIOD]","Proof chain:
   lonely ⇒ inquisitive
   bossy ⇒ helpless
   helpless ⇒ horrible
   horrible ⇒ joyous
   inquisitive ∧ joyous ⇒ thoughtful
",1,5
"Facts: 
Rules:
selfish [IMPLY] exuberant [PERIOD]
worrisome [AND] excited [IMPLY] outrageous [PERIOD]
naughty [AND] talkative [IMPLY] worrisome [PERIOD]
excited [IMPLY] wrong [PERIOD]
exuberant [IMPLY] lucky [PERIOD]
talkative [AND] wrong [IMPLY] silly [PERIOD]
selfish [AND] worrisome [AND] lucky [IMPLY] modern [PERIOD]
silly [AND] selfish [AND] naughty [IMPLY] ugly [PERIOD]
worrisome [IMPLY] modern [PERIOD]
naughty [AND] exuberant [AND] ugly [IMPLY] popular [PERIOD]
naughty [IMPLY] lucky [PERIOD]
excited [AND] worrisome [IMPLY] selfish [PERIOD]
popular [AND] silly [IMPLY] ugly [PERIOD]
talkative [AND] silly [IMPLY] wrong [PERIOD]
talkative [AND] excited [IMPLY] outrageous [PERIOD]
selfish [IMPLY] ugly [PERIOD]
shy [AND] silly [IMPLY] worrisome [PERIOD]
popular [IMPLY] silly [PERIOD]
shy [AND] naughty [IMPLY] wrong [PERIOD]
popular [IMPLY] outrageous [PERIOD]
naughty [AND] lucky [IMPLY] silly [PERIOD]
popular [AND] exuberant [AND] excited [IMPLY] wrong [PERIOD]
selfish [IMPLY] talkative [PERIOD]
wrong [IMPLY] modern [PERIOD]
outrageous [AND] excited [AND] silly [IMPLY] worrisome [PERIOD]
naughty [AND] outrageous [IMPLY] wrong [PERIOD]
exuberant [AND] silly [AND] ugly [IMPLY] naughty [PERIOD]
wrong [AND] silly [IMPLY] talkative [PERIOD]
shy [IMPLY] ugly [PERIOD]
lucky [AND] outrageous [IMPLY] talkative [PERIOD]
outrageous [AND] lucky [IMPLY] excited [PERIOD]
silly [AND] popular [AND] modern [IMPLY] wrong [PERIOD]
popular [AND] outrageous [AND] lucky [IMPLY] ugly [PERIOD]
selfish [AND] modern [IMPLY] lucky [PERIOD]
selfish [AND] silly [IMPLY] excited [PERIOD]
worrisome [AND] popular [AND] exuberant [IMPLY] ugly [PERIOD]
outrageous [AND] lucky [AND] silly [IMPLY] modern [PERIOD]
exuberant [AND] worrisome [IMPLY] modern [PERIOD]
talkative [AND] selfish [IMPLY] outrageous [PERIOD]
shy [AND] ugly [IMPLY] lucky [PERIOD]
excited [AND] lucky [AND] silly [IMPLY] outrageous [PERIOD]
selfish [IMPLY] silly [PERIOD]
exuberant [IMPLY] selfish [PERIOD]
ugly [AND] shy [AND] excited [IMPLY] naughty [PERIOD]
talkative [AND] exuberant [AND] lucky [IMPLY] popular [PERIOD]
worrisome [AND] silly [AND] wrong [IMPLY] talkative [PERIOD]
wrong [IMPLY] lucky [PERIOD]
Query: Alice is outrageous [PERIOD]","Proof chain:
   Cannot apply rule “worrisome ∧ excited ⇒ outrageous” because missing: worrisome, excited.
   Cannot apply rule “talkative ∧ excited ⇒ outrageous” because missing: talkative, excited.
   Cannot apply rule “popular ⇒ outrageous” because missing: popular.
   Cannot apply rule “talkative ∧ selfish ⇒ outrageous” because missing: talkative, selfish.
   Cannot apply rule “excited ∧ lucky ∧ silly ⇒ outrageous” because missing: excited, lucky, silly.
",0,5
"Facts:  Alice is ugliest [PERIOD] Alice is difficult [PERIOD] Alice is bossy [PERIOD] Alice is shy [PERIOD]
Rules:
fine [IMPLY] ugliest [PERIOD]
rational [IMPLY] difficult [PERIOD]
proud [AND] thoughtless [IMPLY] powerful [PERIOD]
victorious [AND] rational [AND] helpful [IMPLY] excited [PERIOD]
helpful [IMPLY] powerful [PERIOD]
ugliest [AND] shy [IMPLY] excited [PERIOD]
victorious [AND] excited [IMPLY] helpful [PERIOD]
helpful [IMPLY] excited [PERIOD]
shy [IMPLY] proud [PERIOD]
proud [AND] ugliest [IMPLY] shy [PERIOD]
rational [IMPLY] bossy [PERIOD]
bossy [AND] ugliest [IMPLY] powerful [PERIOD]
ugliest [AND] excited [IMPLY] thoughtless [PERIOD]
thoughtless [AND] bossy [IMPLY] victorious [PERIOD]
proud [IMPLY] thoughtless [PERIOD]
ugliest [IMPLY] fine [PERIOD]
powerful [IMPLY] excited [PERIOD]
thoughtless [AND] fine [IMPLY] rational [PERIOD]
excited [IMPLY] bossy [PERIOD]
rude [AND] thoughtless [AND] fine [IMPLY] victorious [PERIOD]
difficult [AND] rude [IMPLY] rational [PERIOD]
shy [IMPLY] victorious [PERIOD]
proud [AND] rude [AND] ugliest [IMPLY] fine [PERIOD]
powerful [AND] victorious [AND] rude [IMPLY] rational [PERIOD]
victorious [IMPLY] powerful [PERIOD]
excited [AND] shy [IMPLY] fine [PERIOD]
shy [AND] victorious [AND] proud [IMPLY] difficult [PERIOD]
helpful [AND] rude [AND] ugliest [IMPLY] bossy [PERIOD]
powerful [AND] fine [AND] helpful [IMPLY] thoughtless [PERIOD]
fine [AND] helpful [IMPLY] thoughtless [PERIOD]
Query: Alice is powerful [PERIOD]","Proof chain:
   bossy ∧ ugliest ⇒ powerful
",1,1
"Facts:  Alice is victorious [PERIOD] Alice is tense [PERIOD] Alice is reserved [PERIOD] Alice is helpless [PERIOD] Alice is blushing [PERIOD]
Rules:
clean [AND] tidy [AND] long [IMPLY] victorious [PERIOD]
helpless [AND] hilarious [AND] long [IMPLY] dishonest [PERIOD]
ambitious [IMPLY] attentive [PERIOD]
perfect [AND] tense [AND] busy [IMPLY] adorable [PERIOD]
blushing [AND] busy [IMPLY] long [PERIOD]
busy [AND] clean [IMPLY] tidy [PERIOD]
victorious [AND] helpless [IMPLY] popular [PERIOD]
perfect [AND] hilarious [AND] clean [IMPLY] long [PERIOD]
tense [AND] clumsy [AND] distinct [IMPLY] popular [PERIOD]
ambitious [IMPLY] weary [PERIOD]
long [AND] hilarious [AND] popular [IMPLY] blushing [PERIOD]
tense [IMPLY] modern [PERIOD]
busy [AND] helpless [IMPLY] ambitious [PERIOD]
busy [IMPLY] distinct [PERIOD]
dishonest [AND] modern [IMPLY] perfect [PERIOD]
clean [AND] clumsy [AND] perfect [IMPLY] shy [PERIOD]
perfect [AND] blushing [AND] adorable [IMPLY] sensible [PERIOD]
supportive [AND] victorious [AND] helpless [IMPLY] weary [PERIOD]
dishonest [IMPLY] blushing [PERIOD]
supportive [AND] tidy [IMPLY] weary [PERIOD]
victorious [AND] modern [IMPLY] lucky [PERIOD]
hilarious [IMPLY] perfect [PERIOD]
victorious [AND] lucky [IMPLY] attentive [PERIOD]
tidy [AND] modern [AND] tense [IMPLY] distinct [PERIOD]
sensible [IMPLY] supportive [PERIOD]
blushing [AND] attentive [AND] tense [IMPLY] busy [PERIOD]
long [AND] shy [IMPLY] modern [PERIOD]
tense [AND] lucky [IMPLY] dishonest [PERIOD]
agreeable [IMPLY] blushing [PERIOD]
distinct [AND] messy [IMPLY] perfect [PERIOD]
victorious [AND] agreeable [AND] clumsy [IMPLY] tense [PERIOD]
perfect [AND] ambitious [AND] tense [IMPLY] weary [PERIOD]
helpless [IMPLY] blushing [PERIOD]
reserved [AND] long [AND] dishonest [IMPLY] weary [PERIOD]
adorable [AND] messy [AND] helpless [IMPLY] shy [PERIOD]
supportive [AND] lucky [IMPLY] clean [PERIOD]
modern [AND] reserved [AND] popular [IMPLY] sensible [PERIOD]
sensible [AND] tidy [AND] clean [IMPLY] ambitious [PERIOD]
tidy [AND] adorable [AND] busy [IMPLY] long [PERIOD]
messy [IMPLY] long [PERIOD]
sensible [AND] agreeable [AND] clean [IMPLY] supportive [PERIOD]
modern [AND] busy [AND] hilarious [IMPLY] tidy [PERIOD]
weary [AND] hilarious [IMPLY] messy [PERIOD]
hilarious [AND] busy [IMPLY] reserved [PERIOD]
popular [AND] blushing [IMPLY] modern [PERIOD]
clean [AND] agreeable [IMPLY] blushing [PERIOD]
ambitious [AND] tidy [IMPLY] clumsy [PERIOD]
tense [IMPLY] perfect [PERIOD]
ambitious [AND] modern [IMPLY] long [PERIOD]
victorious [IMPLY] clean [PERIOD]
shy [IMPLY] modern [PERIOD]
dishonest [IMPLY] agreeable [PERIOD]
supportive [AND] agreeable [IMPLY] blushing [PERIOD]
perfect [AND] tidy [AND] busy [IMPLY] ambitious [PERIOD]
reserved [AND] shy [AND] modern [IMPLY] attentive [PERIOD]
modern [AND] dishonest [IMPLY] popular [PERIOD]
shy [AND] helpless [AND] long [IMPLY] clumsy [PERIOD]
perfect [AND] messy [AND] blushing [IMPLY] clumsy [PERIOD]
clean [AND] tense [AND] tidy [IMPLY] shy [PERIOD]
lucky [IMPLY] popular [PERIOD]
long [IMPLY] clumsy [PERIOD]
modern [AND] weary [AND] shy [IMPLY] tidy [PERIOD]
ambitious [AND] blushing [IMPLY] popular [PERIOD]
messy [AND] weary [IMPLY] victorious [PERIOD]
attentive [IMPLY] reserved [PERIOD]
perfect [AND] messy [AND] blushing [IMPLY] tense [PERIOD]
modern [IMPLY] busy [PERIOD]
modern [IMPLY] supportive [PERIOD]
supportive [AND] dishonest [IMPLY] messy [PERIOD]
dishonest [IMPLY] distinct [PERIOD]
sensible [IMPLY] agreeable [PERIOD]
lucky [IMPLY] perfect [PERIOD]
clean [AND] dishonest [IMPLY] long [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   victorious ⇒ clean
   tense ⇒ modern
   modern ⇒ busy
   victorious ⇒ clean
   busy ∧ clean ⇒ tidy
   clean ∧ tense ∧ tidy ⇒ shy
",1,6
"Facts: 
Rules:
tame [AND] ambitious [AND] exuberant [IMPLY] average [PERIOD]
busy [IMPLY] average [PERIOD]
long [AND] proud [AND] exuberant [IMPLY] average [PERIOD]
tame [AND] proud [AND] average [IMPLY] busy [PERIOD]
ambitious [AND] tame [IMPLY] proud [PERIOD]
average [IMPLY] busy [PERIOD]
exuberant [AND] proud [IMPLY] tame [PERIOD]
busy [IMPLY] exuberant [PERIOD]
proud [AND] tame [IMPLY] busy [PERIOD]
exuberant [AND] busy [AND] tame [IMPLY] average [PERIOD]
long [AND] exuberant [AND] ambitious [IMPLY] tame [PERIOD]
long [IMPLY] ambitious [PERIOD]
exuberant [AND] ambitious [AND] average [IMPLY] long [PERIOD]
tame [IMPLY] proud [PERIOD]
ambitious [IMPLY] exuberant [PERIOD]
ambitious [AND] proud [AND] average [IMPLY] exuberant [PERIOD]
exuberant [AND] average [AND] ambitious [IMPLY] busy [PERIOD]
busy [AND] long [IMPLY] proud [PERIOD]
proud [IMPLY] exuberant [PERIOD]
exuberant [AND] long [AND] average [IMPLY] proud [PERIOD]
average [IMPLY] ambitious [PERIOD]
ambitious [IMPLY] proud [PERIOD]
ambitious [AND] tame [AND] proud [IMPLY] average [PERIOD]
proud [IMPLY] tame [PERIOD]
Query: Alice is tame [PERIOD]","Proof chain:
   Cannot apply rule “exuberant ∧ proud ⇒ tame” because missing: exuberant, proud.
   Cannot apply rule “long ∧ exuberant ∧ ambitious ⇒ tame” because missing: long, exuberant, ambitious.
   Cannot apply rule “proud ⇒ tame” because missing: proud.
",0,3
"Facts:  Alice is impartial [PERIOD] Alice is gleaming [PERIOD] Alice is bored [PERIOD] Alice is cute [PERIOD]
Rules:
frail [IMPLY] helpful [PERIOD]
confused [AND] inexpensive [AND] fearless [IMPLY] combative [PERIOD]
gleaming [AND] confident [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] confused [PERIOD]
versatile [IMPLY] ugly [PERIOD]
combative [AND] frail [AND] worried [IMPLY] gleaming [PERIOD]
tired [IMPLY] helpful [PERIOD]
ambitious [IMPLY] confused [PERIOD]
stupid [IMPLY] thoughtless [PERIOD]
intellectual [IMPLY] aggressive [PERIOD]
gleaming [AND] worried [AND] stupid [IMPLY] aggressive [PERIOD]
thoughtless [IMPLY] fearless [PERIOD]
shy [AND] ambitious [AND] intellectual [IMPLY] fearless [PERIOD]
fearless [AND] aggressive [AND] stupid [IMPLY] combative [PERIOD]
worried [IMPLY] thoughtless [PERIOD]
tired [AND] bored [IMPLY] worried [PERIOD]
frail [AND] thoughtless [AND] horrible [IMPLY] inexpensive [PERIOD]
confident [IMPLY] impartial [PERIOD]
versatile [AND] fragile [IMPLY] tired [PERIOD]
impartial [AND] worried [AND] ugly [IMPLY] versatile [PERIOD]
stupid [AND] fragile [AND] shy [IMPLY] fearless [PERIOD]
distinct [IMPLY] bored [PERIOD]
bored [AND] ambitious [AND] aggressive [IMPLY] sincere [PERIOD]
confused [AND] distinct [AND] ambitious [IMPLY] clumsy [PERIOD]
frail [AND] confident [AND] helpful [IMPLY] fearless [PERIOD]
inexpensive [IMPLY] confident [PERIOD]
combative [IMPLY] clumsy [PERIOD]
shy [IMPLY] mysterious [PERIOD]
inexpensive [AND] horrible [IMPLY] sincere [PERIOD]
ambitious [IMPLY] helpful [PERIOD]
gleaming [IMPLY] clumsy [PERIOD]
confused [AND] fragile [IMPLY] combative [PERIOD]
ambitious [IMPLY] aggressive [PERIOD]
worried [AND] cute [AND] fragile [IMPLY] wandering [PERIOD]
fearless [AND] horrible [AND] clumsy [IMPLY] stupid [PERIOD]
helpful [AND] mysterious [AND] ugly [IMPLY] clumsy [PERIOD]
fragile [AND] bored [AND] shy [IMPLY] distinct [PERIOD]
thoughtless [IMPLY] confident [PERIOD]
tired [AND] distinct [IMPLY] clumsy [PERIOD]
impartial [AND] fearless [AND] gleaming [IMPLY] combative [PERIOD]
cute [IMPLY] fearless [PERIOD]
worried [AND] distinct [AND] tired [IMPLY] confident [PERIOD]
ambitious [AND] frail [AND] gleaming [IMPLY] fragile [PERIOD]
worried [AND] shy [AND] confused [IMPLY] stupid [PERIOD]
wandering [AND] confused [IMPLY] ugly [PERIOD]
clumsy [AND] cute [AND] worried [IMPLY] confident [PERIOD]
mysterious [AND] tired [AND] intellectual [IMPLY] combative [PERIOD]
sincere [AND] bored [AND] ugly [IMPLY] frail [PERIOD]
wandering [AND] clumsy [IMPLY] versatile [PERIOD]
tired [AND] sincere [IMPLY] ugly [PERIOD]
fragile [AND] impartial [AND] gleaming [IMPLY] horrible [PERIOD]
stupid [IMPLY] shy [PERIOD]
sincere [AND] stupid [IMPLY] distinct [PERIOD]
thoughtless [AND] clumsy [IMPLY] confident [PERIOD]
stupid [AND] horrible [IMPLY] impartial [PERIOD]
shy [AND] sincere [AND] fragile [IMPLY] wandering [PERIOD]
shy [IMPLY] worried [PERIOD]
impartial [AND] clumsy [AND] versatile [IMPLY] confused [PERIOD]
versatile [IMPLY] horrible [PERIOD]
intellectual [IMPLY] confident [PERIOD]
helpful [IMPLY] stupid [PERIOD]
sincere [AND] versatile [AND] impartial [IMPLY] tired [PERIOD]
shy [IMPLY] clumsy [PERIOD]
inexpensive [AND] clumsy [IMPLY] tired [PERIOD]
bored [AND] combative [IMPLY] sincere [PERIOD]
stupid [AND] ambitious [IMPLY] confident [PERIOD]
fearless [AND] confident [AND] worried [IMPLY] combative [PERIOD]
tired [IMPLY] worried [PERIOD]
confident [IMPLY] sincere [PERIOD]
combative [AND] sincere [IMPLY] mysterious [PERIOD]
clumsy [IMPLY] thoughtless [PERIOD]
cute [IMPLY] bored [PERIOD]
distinct [IMPLY] thoughtless [PERIOD]
worried [IMPLY] bored [PERIOD]
ugly [AND] stupid [AND] bored [IMPLY] ambitious [PERIOD]
fragile [AND] bored [AND] versatile [IMPLY] frail [PERIOD]
stupid [IMPLY] ugly [PERIOD]
sincere [IMPLY] confused [PERIOD]
shy [AND] frail [IMPLY] fragile [PERIOD]
stupid [AND] fearless [AND] bored [IMPLY] horrible [PERIOD]
Query: Alice is versatile [PERIOD]","Proof chain:
   Cannot apply rule “impartial ∧ worried ∧ ugly ⇒ versatile” because missing: worried, ugly.
   gleaming ⇒ clumsy
   Cannot apply rule “wandering ∧ clumsy ⇒ versatile” because missing: wandering.
",0,3
"Facts:  Alice is victorious [PERIOD] Alice is hypocritical [PERIOD] Alice is impartial [PERIOD] Alice is rude [PERIOD] Alice is lucky [PERIOD] Alice is frail [PERIOD] Alice is dishonest [PERIOD] Alice is innocent [PERIOD] Alice is attentive [PERIOD]
Rules:
attentive [AND] rude [AND] troubled [IMPLY] hypocritical [PERIOD]
cruel [AND] attentive [IMPLY] scared [PERIOD]
impartial [AND] calm [IMPLY] fancy [PERIOD]
scared [AND] average [IMPLY] frantic [PERIOD]
cruel [AND] attentive [IMPLY] foolish [PERIOD]
mean [AND] innocent [AND] cruel [IMPLY] victorious [PERIOD]
attentive [AND] courageous [IMPLY] selfish [PERIOD]
polite [AND] frantic [IMPLY] clean [PERIOD]
frantic [AND] bored [AND] rude [IMPLY] scared [PERIOD]
average [AND] hypocritical [AND] selfish [IMPLY] clean [PERIOD]
foolish [AND] hypocritical [AND] dishonest [IMPLY] wandering [PERIOD]
cruel [AND] clean [IMPLY] courageous [PERIOD]
cruel [AND] serious [AND] smart [IMPLY] calm [PERIOD]
jittery [IMPLY] fancy [PERIOD]
frantic [IMPLY] average [PERIOD]
smart [AND] polite [IMPLY] scared [PERIOD]
jittery [IMPLY] smart [PERIOD]
mean [IMPLY] innocent [PERIOD]
frantic [IMPLY] wandering [PERIOD]
stormy [AND] frail [AND] mean [IMPLY] attentive [PERIOD]
average [IMPLY] cruel [PERIOD]
innocent [AND] rude [IMPLY] scared [PERIOD]
average [AND] rude [IMPLY] clean [PERIOD]
calm [IMPLY] mean [PERIOD]
impartial [IMPLY] frail [PERIOD]
victorious [IMPLY] courageous [PERIOD]
scared [IMPLY] smart [PERIOD]
cruel [AND] clean [AND] fancy [IMPLY] calm [PERIOD]
lucky [AND] average [IMPLY] bored [PERIOD]
frail [AND] selfish [IMPLY] fancy [PERIOD]
bored [AND] polite [AND] calm [IMPLY] rude [PERIOD]
average [AND] rude [AND] lucky [IMPLY] innocent [PERIOD]
calm [IMPLY] frail [PERIOD]
polite [AND] bored [AND] selfish [IMPLY] innocent [PERIOD]
dishonest [IMPLY] wandering [PERIOD]
average [IMPLY] attentive [PERIOD]
rude [IMPLY] cruel [PERIOD]
calm [AND] fancy [IMPLY] mean [PERIOD]
troubled [AND] attentive [IMPLY] clean [PERIOD]
frail [AND] average [IMPLY] jittery [PERIOD]
smart [AND] clean [IMPLY] courageous [PERIOD]
jittery [AND] scared [AND] cruel [IMPLY] rude [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   No rule concludes “polite.”
",0,1
"Facts: 
Rules:
quaint [AND] tame [IMPLY] jittery [PERIOD]
agreeable [AND] weary [AND] talkative [IMPLY] zealous [PERIOD]
jittery [AND] zealous [IMPLY] tame [PERIOD]
lucky [AND] wandering [AND] thoughtless [IMPLY] famous [PERIOD]
witty [AND] quaint [AND] jittery [IMPLY] talkative [PERIOD]
weary [AND] witty [IMPLY] lucky [PERIOD]
zealous [AND] weary [IMPLY] jittery [PERIOD]
quaint [AND] thoughtless [AND] straightforward [IMPLY] weary [PERIOD]
talkative [IMPLY] thoughtless [PERIOD]
wandering [AND] quaint [AND] agreeable [IMPLY] weary [PERIOD]
straightforward [AND] thoughtless [AND] weary [IMPLY] famous [PERIOD]
famous [AND] quaint [IMPLY] lucky [PERIOD]
agreeable [IMPLY] straightforward [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   Cannot apply rule “quaint ∧ thoughtless ∧ straightforward ⇒ weary” because missing: quaint, thoughtless, straightforward.
   Cannot apply rule “wandering ∧ quaint ∧ agreeable ⇒ weary” because missing: wandering, quaint, agreeable.
",0,2
"Facts:  Alice is adorable [PERIOD] Alice is nervous [PERIOD] Alice is plain [PERIOD] Alice is loving [PERIOD] Alice is attentive [PERIOD] Alice is excited [PERIOD] Alice is lucky [PERIOD] Alice is mysterious [PERIOD]
Rules:
wide-eyed [AND] excited [IMPLY] fearless [PERIOD]
adorable [IMPLY] tidy [PERIOD]
loving [AND] nervous [IMPLY] plain [PERIOD]
bored [IMPLY] diplomatic [PERIOD]
loving [AND] impatient [IMPLY] supportive [PERIOD]
lucky [AND] bored [IMPLY] nervous [PERIOD]
mysterious [IMPLY] bored [PERIOD]
attentive [AND] amused [AND] diplomatic [IMPLY] zealous [PERIOD]
fearless [AND] amused [IMPLY] mysterious [PERIOD]
tidy [IMPLY] supportive [PERIOD]
excited [AND] zealous [IMPLY] supportive [PERIOD]
attentive [AND] broad-minded [AND] mysterious [IMPLY] nervous [PERIOD]
supportive [AND] mysterious [IMPLY] diplomatic [PERIOD]
impatient [AND] attentive [IMPLY] tidy [PERIOD]
zealous [AND] ugly [AND] attentive [IMPLY] nervous [PERIOD]
loving [AND] amused [AND] supportive [IMPLY] attentive [PERIOD]
supportive [IMPLY] mysterious [PERIOD]
adorable [AND] tidy [AND] amused [IMPLY] diplomatic [PERIOD]
mysterious [AND] powerful [IMPLY] broad-minded [PERIOD]
zealous [AND] witty [AND] adorable [IMPLY] supportive [PERIOD]
zealous [AND] loving [IMPLY] powerful [PERIOD]
nervous [AND] diplomatic [IMPLY] adorable [PERIOD]
attentive [IMPLY] wide-eyed [PERIOD]
excited [AND] witty [AND] adorable [IMPLY] plain [PERIOD]
lucky [AND] excited [IMPLY] adorable [PERIOD]
supportive [IMPLY] plain [PERIOD]
excited [IMPLY] nervous [PERIOD]
adorable [IMPLY] supportive [PERIOD]
loving [AND] zealous [AND] powerful [IMPLY] excited [PERIOD]
diplomatic [AND] supportive [IMPLY] excited [PERIOD]
nervous [AND] diplomatic [AND] amused [IMPLY] ugly [PERIOD]
impatient [IMPLY] lucky [PERIOD]
zealous [IMPLY] excited [PERIOD]
nervous [IMPLY] wide-eyed [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   adorable ⇒ tidy
",1,1
"Facts:  Alice is exuberant [PERIOD] Alice is clean [PERIOD] Alice is muddy [PERIOD]
Rules:
exuberant [AND] ambitious [IMPLY] frantic [PERIOD]
tired [IMPLY] different [PERIOD]
old-fashioned [AND] calm [AND] fancy [IMPLY] different [PERIOD]
famous [AND] talkative [AND] muddy [IMPLY] condemned [PERIOD]
old-fashioned [IMPLY] comfortable [PERIOD]
famous [AND] hurt [AND] old-fashioned [IMPLY] tired [PERIOD]
comfortable [AND] tense [AND] hurt [IMPLY] charming [PERIOD]
condemned [AND] calm [AND] hurt [IMPLY] exuberant [PERIOD]
condemned [AND] comfortable [IMPLY] pleasant [PERIOD]
frantic [AND] muddy [IMPLY] calm [PERIOD]
wandering [AND] scared [AND] hurt [IMPLY] famous [PERIOD]
scared [AND] wandering [IMPLY] old-fashioned [PERIOD]
impartial [AND] wandering [IMPLY] tired [PERIOD]
sleepy [AND] tense [AND] tired [IMPLY] frantic [PERIOD]
pleasant [IMPLY] famous [PERIOD]
sleepy [AND] ambitious [AND] talkative [IMPLY] bright [PERIOD]
charming [AND] clean [AND] famous [IMPLY] bright [PERIOD]
famous [AND] frantic [AND] confident [IMPLY] calm [PERIOD]
pleasant [AND] impartial [AND] talkative [IMPLY] perfect [PERIOD]
impartial [IMPLY] exuberant [PERIOD]
ambitious [AND] charming [IMPLY] old-fashioned [PERIOD]
comfortable [AND] scared [IMPLY] calm [PERIOD]
scared [AND] sleepy [AND] hurt [IMPLY] clean [PERIOD]
perfect [AND] frantic [AND] wandering [IMPLY] confident [PERIOD]
wandering [IMPLY] impartial [PERIOD]
fancy [IMPLY] condemned [PERIOD]
different [AND] perfect [AND] impartial [IMPLY] old-fashioned [PERIOD]
perfect [AND] different [IMPLY] ambitious [PERIOD]
fancy [IMPLY] tired [PERIOD]
ambitious [IMPLY] charming [PERIOD]
condemned [IMPLY] calm [PERIOD]
calm [AND] exuberant [AND] condemned [IMPLY] ambitious [PERIOD]
muddy [AND] calm [AND] old-fashioned [IMPLY] exuberant [PERIOD]
wandering [AND] old-fashioned [AND] pleasant [IMPLY] muddy [PERIOD]
pleasant [IMPLY] frantic [PERIOD]
clean [AND] ambitious [IMPLY] charming [PERIOD]
ambitious [AND] muddy [IMPLY] scared [PERIOD]
tired [AND] perfect [IMPLY] sleepy [PERIOD]
pleasant [IMPLY] confident [PERIOD]
bright [AND] tense [AND] tired [IMPLY] scared [PERIOD]
condemned [AND] fancy [IMPLY] impartial [PERIOD]
calm [IMPLY] clean [PERIOD]
exuberant [AND] scared [AND] tense [IMPLY] old-fashioned [PERIOD]
confident [AND] famous [IMPLY] condemned [PERIOD]
old-fashioned [AND] talkative [AND] tense [IMPLY] perfect [PERIOD]
sleepy [AND] frantic [IMPLY] tired [PERIOD]
fancy [AND] ambitious [AND] scared [IMPLY] sleepy [PERIOD]
condemned [AND] famous [IMPLY] perfect [PERIOD]
comfortable [IMPLY] ambitious [PERIOD]
old-fashioned [AND] condemned [AND] charming [IMPLY] tired [PERIOD]
wandering [AND] comfortable [AND] confident [IMPLY] exuberant [PERIOD]
wandering [IMPLY] hurt [PERIOD]
calm [IMPLY] condemned [PERIOD]
bright [AND] calm [IMPLY] impartial [PERIOD]
confident [AND] pleasant [IMPLY] perfect [PERIOD]
wandering [AND] talkative [IMPLY] calm [PERIOD]
pleasant [AND] hurt [AND] condemned [IMPLY] comfortable [PERIOD]
sleepy [AND] fancy [AND] bright [IMPLY] pleasant [PERIOD]
famous [AND] calm [IMPLY] confident [PERIOD]
old-fashioned [IMPLY] pleasant [PERIOD]
calm [AND] muddy [IMPLY] charming [PERIOD]
calm [IMPLY] ambitious [PERIOD]
fancy [AND] tense [AND] condemned [IMPLY] tired [PERIOD]
condemned [IMPLY] tense [PERIOD]
tired [AND] pleasant [IMPLY] charming [PERIOD]
fancy [AND] condemned [AND] bright [IMPLY] ambitious [PERIOD]
pleasant [AND] tired [IMPLY] condemned [PERIOD]
comfortable [AND] ambitious [AND] different [IMPLY] bright [PERIOD]
sleepy [AND] exuberant [IMPLY] wandering [PERIOD]
wandering [AND] tired [IMPLY] charming [PERIOD]
muddy [AND] tense [AND] old-fashioned [IMPLY] bright [PERIOD]
muddy [AND] ambitious [AND] confident [IMPLY] perfect [PERIOD]
different [AND] ambitious [AND] fancy [IMPLY] clean [PERIOD]
fancy [IMPLY] bright [PERIOD]
charming [AND] impartial [IMPLY] ambitious [PERIOD]
impartial [AND] scared [IMPLY] sleepy [PERIOD]
impartial [AND] fancy [IMPLY] ambitious [PERIOD]
confident [IMPLY] wandering [PERIOD]
muddy [AND] tense [AND] different [IMPLY] exuberant [PERIOD]
different [AND] perfect [AND] wandering [IMPLY] comfortable [PERIOD]
calm [AND] wandering [IMPLY] bright [PERIOD]
calm [AND] comfortable [IMPLY] wandering [PERIOD]
fancy [AND] comfortable [AND] pleasant [IMPLY] sleepy [PERIOD]
scared [IMPLY] calm [PERIOD]
hurt [AND] different [IMPLY] comfortable [PERIOD]
comfortable [AND] tired [AND] perfect [IMPLY] pleasant [PERIOD]
impartial [AND] muddy [AND] ambitious [IMPLY] exuberant [PERIOD]
confident [AND] old-fashioned [AND] muddy [IMPLY] tired [PERIOD]
perfect [AND] talkative [IMPLY] condemned [PERIOD]
confident [AND] pleasant [IMPLY] clean [PERIOD]
calm [AND] talkative [IMPLY] tired [PERIOD]
talkative [AND] perfect [IMPLY] ambitious [PERIOD]
calm [AND] wandering [AND] exuberant [IMPLY] impartial [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   Cannot apply rule “scared ∧ wandering ⇒ old-fashioned” because missing: scared, wandering.
   Cannot apply rule “ambitious ∧ charming ⇒ old-fashioned” because missing: ambitious, charming.
   Cannot apply rule “different ∧ perfect ∧ impartial ⇒ old-fashioned” because missing: different, perfect, impartial.
   Cannot apply rule “exuberant ∧ scared ∧ tense ⇒ old-fashioned” because missing: scared, tense.
",0,4
"Facts:  Alice is spotless [PERIOD]
Rules:
embarrassed [AND] victorious [AND] spotless [IMPLY] talkative [PERIOD]
famous [IMPLY] frightened [PERIOD]
clumsy [AND] difficult [AND] ambitious [IMPLY] shy [PERIOD]
ambitious [AND] spotless [AND] shy [IMPLY] silly [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
   Cannot apply rule “clumsy ∧ difficult ∧ ambitious ⇒ shy” because missing: clumsy, difficult, ambitious.
",0,1
"Facts:  Alice is bright [PERIOD] Alice is stormy [PERIOD] Alice is elated [PERIOD] Alice is worrisome [PERIOD] Alice is talented [PERIOD] Alice is enchanting [PERIOD] Alice is joyous [PERIOD]
Rules:
careless [IMPLY] rude [PERIOD]
talented [IMPLY] quaint [PERIOD]
combative [AND] careless [AND] frightened [IMPLY] disgusted [PERIOD]
rude [AND] attractive [IMPLY] worrisome [PERIOD]
stormy [AND] careless [AND] joyous [IMPLY] disgusted [PERIOD]
quaint [IMPLY] shy [PERIOD]
inquisitive [IMPLY] easy [PERIOD]
quaint [AND] inquisitive [IMPLY] talented [PERIOD]
attractive [AND] shy [IMPLY] reserved [PERIOD]
easy [AND] impartial [AND] bright [IMPLY] curious [PERIOD]
quaint [AND] grumpy [AND] good [IMPLY] shy [PERIOD]
stormy [AND] good [IMPLY] rude [PERIOD]
grumpy [AND] impartial [AND] jittery [IMPLY] good [PERIOD]
frightened [AND] jittery [IMPLY] worrisome [PERIOD]
jittery [AND] enchanting [IMPLY] attractive [PERIOD]
shy [AND] talented [AND] bored [IMPLY] inquisitive [PERIOD]
inquisitive [IMPLY] joyous [PERIOD]
careless [AND] inquisitive [IMPLY] attractive [PERIOD]
combative [IMPLY] impartial [PERIOD]
grumpy [IMPLY] worrisome [PERIOD]
stormy [AND] frightened [AND] worrisome [IMPLY] enchanting [PERIOD]
grumpy [IMPLY] disgusted [PERIOD]
worrisome [AND] impartial [IMPLY] shy [PERIOD]
elated [AND] curious [IMPLY] frightened [PERIOD]
bright [IMPLY] grumpy [PERIOD]
easy [AND] bored [AND] rude [IMPLY] enchanting [PERIOD]
careless [AND] attractive [AND] joyous [IMPLY] elated [PERIOD]
stormy [AND] joyous [AND] frightened [IMPLY] bright [PERIOD]
easy [AND] rude [IMPLY] quaint [PERIOD]
reserved [AND] disgusted [AND] stormy [IMPLY] curious [PERIOD]
enchanting [AND] rude [IMPLY] disgusted [PERIOD]
reserved [IMPLY] good [PERIOD]
elated [AND] impartial [IMPLY] disgusted [PERIOD]
impartial [AND] enchanting [IMPLY] bored [PERIOD]
enchanting [IMPLY] grumpy [PERIOD]
careless [IMPLY] quaint [PERIOD]
easy [IMPLY] worrisome [PERIOD]
disgusted [IMPLY] shy [PERIOD]
rude [IMPLY] disgusted [PERIOD]
good [AND] inquisitive [AND] quaint [IMPLY] attractive [PERIOD]
bright [AND] disgusted [IMPLY] rude [PERIOD]
attractive [IMPLY] enchanting [PERIOD]
quaint [AND] joyous [AND] attractive [IMPLY] easy [PERIOD]
grumpy [IMPLY] jittery [PERIOD]
attractive [AND] easy [IMPLY] curious [PERIOD]
elated [IMPLY] careless [PERIOD]
talented [IMPLY] curious [PERIOD]
bored [AND] joyous [AND] frightened [IMPLY] combative [PERIOD]
rude [AND] jittery [AND] grumpy [IMPLY] joyous [PERIOD]
shy [AND] worrisome [IMPLY] elated [PERIOD]
grumpy [AND] frightened [AND] talented [IMPLY] quaint [PERIOD]
joyous [AND] talented [IMPLY] stormy [PERIOD]
stormy [AND] good [IMPLY] quaint [PERIOD]
combative [AND] impartial [IMPLY] rude [PERIOD]
curious [IMPLY] rude [PERIOD]
curious [AND] good [IMPLY] worrisome [PERIOD]
talented [AND] elated [AND] jittery [IMPLY] stormy [PERIOD]
bored [IMPLY] curious [PERIOD]
bright [AND] stormy [IMPLY] inquisitive [PERIOD]
attractive [IMPLY] careless [PERIOD]
good [AND] bored [AND] curious [IMPLY] bright [PERIOD]
quaint [IMPLY] grumpy [PERIOD]
easy [IMPLY] good [PERIOD]
worrisome [AND] talented [AND] enchanting [IMPLY] impartial [PERIOD]
impartial [AND] talented [IMPLY] shy [PERIOD]
Query: Alice is reserved [PERIOD]","Proof chain:
   elated ⇒ careless
   bright ∧ stormy ⇒ inquisitive
   careless ∧ inquisitive ⇒ attractive
   worrisome ∧ talented ∧ enchanting ⇒ impartial
   worrisome ∧ impartial ⇒ shy
   attractive ∧ shy ⇒ reserved
",1,6
"Facts:  Alice is crowded [PERIOD] Alice is versatile [PERIOD] Alice is careless [PERIOD] Alice is wrong [PERIOD] Alice is average [PERIOD]
Rules:
tense [IMPLY] careless [PERIOD]
troubled [AND] careless [AND] bright [IMPLY] amused [PERIOD]
tense [IMPLY] disgusted [PERIOD]
stupid [IMPLY] careless [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   No rule concludes “stupid.”
",0,1
"Facts:  Alice is pessimistic [PERIOD] Alice is charming [PERIOD] Alice is intellectual [PERIOD] Alice is foolish [PERIOD] Alice is stubborn [PERIOD]
Rules:
enchanting [AND] ugly [IMPLY] comfortable [PERIOD]
straightforward [IMPLY] modern [PERIOD]
enchanting [AND] intellectual [IMPLY] foolish [PERIOD]
intellectual [AND] modern [IMPLY] comfortable [PERIOD]
confident [IMPLY] foolish [PERIOD]
straightforward [AND] ugly [AND] intellectual [IMPLY] stubborn [PERIOD]
confident [AND] straightforward [IMPLY] enchanting [PERIOD]
confident [IMPLY] ugly [PERIOD]
confident [AND] modern [AND] straightforward [IMPLY] pessimistic [PERIOD]
pessimistic [AND] foolish [IMPLY] modern [PERIOD]
charming [IMPLY] stupid [PERIOD]
confident [IMPLY] stubborn [PERIOD]
stupid [AND] straightforward [AND] confident [IMPLY] foolish [PERIOD]
stubborn [IMPLY] straightforward [PERIOD]
charming [AND] stupid [IMPLY] foolish [PERIOD]
pessimistic [AND] stubborn [AND] straightforward [IMPLY] comfortable [PERIOD]
intellectual [AND] ugly [IMPLY] charming [PERIOD]
foolish [IMPLY] charming [PERIOD]
modern [AND] charming [IMPLY] foolish [PERIOD]
stupid [AND] straightforward [AND] intellectual [IMPLY] ugly [PERIOD]
straightforward [AND] modern [AND] stubborn [IMPLY] stupid [PERIOD]
Query: Alice is ugly [PERIOD]","Proof chain:
   charming ⇒ stupid
   stubborn ⇒ straightforward
   stupid ∧ straightforward ∧ intellectual ⇒ ugly
",1,3
"Facts:  Alice is versatile [PERIOD] Alice is friendly [PERIOD]
Rules:
helpless [AND] elated [AND] curious [IMPLY] versatile [PERIOD]
helpless [AND] reserved [AND] loving [IMPLY] curious [PERIOD]
courageous [AND] curious [IMPLY] loving [PERIOD]
silly [AND] friendly [IMPLY] helpless [PERIOD]
reserved [AND] versatile [AND] helpless [IMPLY] silly [PERIOD]
friendly [AND] good [AND] ugliest [IMPLY] loving [PERIOD]
reserved [IMPLY] loving [PERIOD]
friendly [AND] helpless [AND] selfish [IMPLY] loving [PERIOD]
ugliest [AND] helpless [IMPLY] loving [PERIOD]
curious [AND] helpless [IMPLY] ugliest [PERIOD]
good [AND] ugliest [AND] reserved [IMPLY] curious [PERIOD]
good [IMPLY] selfish [PERIOD]
friendly [AND] loving [AND] courageous [IMPLY] selfish [PERIOD]
loving [IMPLY] ugliest [PERIOD]
silly [AND] courageous [AND] versatile [IMPLY] ugliest [PERIOD]
loving [AND] courageous [IMPLY] friendly [PERIOD]
courageous [AND] elated [IMPLY] helpless [PERIOD]
courageous [IMPLY] selfish [PERIOD]
versatile [AND] curious [IMPLY] elated [PERIOD]
friendly [AND] elated [IMPLY] loving [PERIOD]
silly [AND] elated [AND] loving [IMPLY] ugliest [PERIOD]
friendly [AND] silly [AND] loving [IMPLY] courageous [PERIOD]
helpless [AND] curious [IMPLY] reserved [PERIOD]
loving [AND] elated [AND] reserved [IMPLY] versatile [PERIOD]
selfish [IMPLY] curious [PERIOD]
good [AND] elated [AND] selfish [IMPLY] curious [PERIOD]
good [AND] friendly [AND] reserved [IMPLY] courageous [PERIOD]
helpless [AND] elated [IMPLY] loving [PERIOD]
elated [AND] silly [IMPLY] helpless [PERIOD]
good [AND] silly [IMPLY] selfish [PERIOD]
loving [AND] elated [AND] silly [IMPLY] curious [PERIOD]
courageous [IMPLY] helpless [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   Cannot apply rule “courageous ∧ curious ⇒ loving” because missing: courageous, curious.
   Cannot apply rule “friendly ∧ good ∧ ugliest ⇒ loving” because missing: good, ugliest.
   Cannot apply rule “reserved ⇒ loving” because missing: reserved.
   Cannot apply rule “friendly ∧ helpless ∧ selfish ⇒ loving” because missing: helpless, selfish.
   Cannot apply rule “ugliest ∧ helpless ⇒ loving” because missing: ugliest, helpless.
   Cannot apply rule “friendly ∧ elated ⇒ loving” because missing: elated.
   Cannot apply rule “helpless ∧ elated ⇒ loving” because missing: helpless, elated.
",0,7
"Facts:  Alice is different [PERIOD] Alice is troubled [PERIOD]
Rules:
cooperative [AND] impatient [AND] helpful [IMPLY] frantic [PERIOD]
impatient [AND] troubled [AND] helpful [IMPLY] average [PERIOD]
charming [AND] shiny [AND] impatient [IMPLY] different [PERIOD]
average [AND] modern [IMPLY] clumsy [PERIOD]
troubled [AND] excited [IMPLY] powerful [PERIOD]
thoughtful [AND] modern [IMPLY] hypocritical [PERIOD]
modern [AND] helpful [IMPLY] impatient [PERIOD]
shiny [AND] thoughtful [AND] helpful [IMPLY] frantic [PERIOD]
light [AND] naughty [AND] troubled [IMPLY] frantic [PERIOD]
clumsy [IMPLY] hypocritical [PERIOD]
clumsy [IMPLY] frantic [PERIOD]
thoughtful [IMPLY] shiny [PERIOD]
cooperative [IMPLY] light [PERIOD]
light [AND] zealous [IMPLY] frantic [PERIOD]
zealous [AND] powerful [AND] cooperative [IMPLY] different [PERIOD]
helpful [AND] anxious [IMPLY] clumsy [PERIOD]
modern [IMPLY] thoughtful [PERIOD]
different [IMPLY] hypocritical [PERIOD]
powerful [AND] thoughtful [IMPLY] excited [PERIOD]
anxious [IMPLY] charming [PERIOD]
light [AND] anxious [AND] shiny [IMPLY] helpful [PERIOD]
shiny [IMPLY] hypocritical [PERIOD]
impatient [AND] anxious [IMPLY] powerful [PERIOD]
impatient [AND] cooperative [AND] helpful [IMPLY] clumsy [PERIOD]
powerful [IMPLY] excited [PERIOD]
different [AND] troubled [AND] hypocritical [IMPLY] cooperative [PERIOD]
hypocritical [AND] zealous [IMPLY] modern [PERIOD]
anxious [IMPLY] thoughtful [PERIOD]
clumsy [AND] different [AND] cooperative [IMPLY] average [PERIOD]
clumsy [AND] troubled [IMPLY] frantic [PERIOD]
hypocritical [AND] clumsy [AND] powerful [IMPLY] light [PERIOD]
powerful [AND] excited [AND] shiny [IMPLY] average [PERIOD]
frantic [AND] troubled [IMPLY] clumsy [PERIOD]
hypocritical [IMPLY] troubled [PERIOD]
light [AND] clumsy [AND] modern [IMPLY] troubled [PERIOD]
light [AND] zealous [IMPLY] charming [PERIOD]
impatient [AND] hypocritical [IMPLY] thoughtful [PERIOD]
hypocritical [IMPLY] zealous [PERIOD]
excited [IMPLY] hypocritical [PERIOD]
helpful [IMPLY] naughty [PERIOD]
cooperative [IMPLY] naughty [PERIOD]
different [AND] troubled [AND] clumsy [IMPLY] zealous [PERIOD]
zealous [IMPLY] excited [PERIOD]
shiny [AND] modern [AND] anxious [IMPLY] troubled [PERIOD]
clumsy [AND] thoughtful [IMPLY] modern [PERIOD]
helpful [AND] clumsy [IMPLY] excited [PERIOD]
helpful [IMPLY] excited [PERIOD]
impatient [AND] anxious [AND] cooperative [IMPLY] clumsy [PERIOD]
frantic [AND] troubled [AND] helpful [IMPLY] different [PERIOD]
shiny [AND] powerful [AND] zealous [IMPLY] average [PERIOD]
powerful [AND] thoughtful [IMPLY] charming [PERIOD]
light [IMPLY] excited [PERIOD]
average [IMPLY] helpful [PERIOD]
naughty [AND] shiny [IMPLY] anxious [PERIOD]
naughty [IMPLY] cooperative [PERIOD]
anxious [IMPLY] average [PERIOD]
anxious [AND] cooperative [IMPLY] helpful [PERIOD]
average [IMPLY] anxious [PERIOD]
different [AND] naughty [IMPLY] shiny [PERIOD]
anxious [AND] thoughtful [AND] modern [IMPLY] impatient [PERIOD]
troubled [IMPLY] hypocritical [PERIOD]
average [AND] different [AND] thoughtful [IMPLY] frantic [PERIOD]
Query: Alice is clumsy [PERIOD]","Proof chain:
   different ⇒ hypocritical
   different ∧ troubled ∧ hypocritical ⇒ cooperative
   cooperative ⇒ light
   different ⇒ hypocritical
   hypocritical ⇒ zealous
   light ∧ zealous ⇒ frantic
   frantic ∧ troubled ⇒ clumsy
",1,7
"Facts: 
Rules:
foolish [AND] vivacious [AND] sleepy [IMPLY] thoughtful [PERIOD]
embarrassed [AND] naughty [AND] impartial [IMPLY] pessimistic [PERIOD]
frail [IMPLY] sleepy [PERIOD]
tired [AND] worrisome [IMPLY] sleepy [PERIOD]
vivacious [IMPLY] strange [PERIOD]
tired [IMPLY] calm [PERIOD]
pessimistic [IMPLY] naughty [PERIOD]
thoughtful [IMPLY] naughty [PERIOD]
strange [IMPLY] worrisome [PERIOD]
straightforward [IMPLY] sleepy [PERIOD]
tired [AND] strange [AND] worrisome [IMPLY] pessimistic [PERIOD]
vivacious [AND] tired [AND] embarrassed [IMPLY] naughty [PERIOD]
strange [AND] pessimistic [IMPLY] sleepy [PERIOD]
condemned [IMPLY] calm [PERIOD]
tired [AND] pessimistic [IMPLY] worrisome [PERIOD]
condemned [AND] thoughtful [AND] naughty [IMPLY] foolish [PERIOD]
strange [AND] friendly [IMPLY] tired [PERIOD]
embarrassed [AND] pessimistic [AND] foolish [IMPLY] naughty [PERIOD]
condemned [AND] vivacious [AND] thoughtful [IMPLY] calm [PERIOD]
straightforward [AND] calm [IMPLY] worrisome [PERIOD]
impartial [AND] strange [AND] sleepy [IMPLY] tired [PERIOD]
straightforward [IMPLY] foolish [PERIOD]
frail [IMPLY] foolish [PERIOD]
vivacious [AND] strange [IMPLY] naughty [PERIOD]
straightforward [AND] impartial [AND] worrisome [IMPLY] embarrassed [PERIOD]
Query: Alice is sleepy [PERIOD]","Proof chain:
   Cannot apply rule “frail ⇒ sleepy” because missing: frail.
   Cannot apply rule “tired ∧ worrisome ⇒ sleepy” because missing: tired, worrisome.
   Cannot apply rule “straightforward ⇒ sleepy” because missing: straightforward.
   Cannot apply rule “strange ∧ pessimistic ⇒ sleepy” because missing: strange, pessimistic.
",0,4
"Facts: 
Rules:
light [AND] attractive [AND] courageous [IMPLY] friendly [PERIOD]
tame [IMPLY] beautiful [PERIOD]
attractive [AND] clean [AND] lucky [IMPLY] careless [PERIOD]
attractive [AND] gorgeous [AND] careless [IMPLY] tame [PERIOD]
light [AND] attractive [IMPLY] impartial [PERIOD]
friendly [IMPLY] beautiful [PERIOD]
gorgeous [IMPLY] wandering [PERIOD]
tame [AND] light [IMPLY] gorgeous [PERIOD]
tame [AND] pleasant [AND] gorgeous [IMPLY] courageous [PERIOD]
pleasant [AND] attractive [IMPLY] tame [PERIOD]
careless [AND] gorgeous [AND] wandering [IMPLY] beautiful [PERIOD]
lucky [AND] tame [AND] wandering [IMPLY] careless [PERIOD]
beautiful [AND] friendly [AND] courageous [IMPLY] hilarious [PERIOD]
pleasant [AND] friendly [AND] lucky [IMPLY] tame [PERIOD]
light [AND] tame [IMPLY] courageous [PERIOD]
courageous [AND] friendly [AND] gorgeous [IMPLY] lucky [PERIOD]
courageous [AND] beautiful [IMPLY] tame [PERIOD]
pleasant [AND] courageous [AND] attractive [IMPLY] light [PERIOD]
clean [IMPLY] careless [PERIOD]
attractive [AND] light [IMPLY] beautiful [PERIOD]
clean [AND] impartial [AND] hilarious [IMPLY] beautiful [PERIOD]
hilarious [AND] clean [IMPLY] gorgeous [PERIOD]
hilarious [AND] friendly [AND] lucky [IMPLY] careless [PERIOD]
pleasant [AND] friendly [AND] tame [IMPLY] courageous [PERIOD]
gorgeous [IMPLY] attractive [PERIOD]
clean [AND] courageous [IMPLY] careless [PERIOD]
courageous [AND] attractive [AND] hilarious [IMPLY] careless [PERIOD]
tame [IMPLY] pleasant [PERIOD]
light [AND] pleasant [IMPLY] attractive [PERIOD]
light [AND] friendly [AND] clean [IMPLY] hilarious [PERIOD]
impartial [AND] lucky [AND] courageous [IMPLY] wandering [PERIOD]
beautiful [IMPLY] courageous [PERIOD]
hilarious [IMPLY] wandering [PERIOD]
clean [IMPLY] wandering [PERIOD]
impartial [IMPLY] attractive [PERIOD]
friendly [AND] careless [IMPLY] tame [PERIOD]
clean [IMPLY] attractive [PERIOD]
tame [AND] wandering [IMPLY] pleasant [PERIOD]
tame [AND] attractive [AND] lucky [IMPLY] clean [PERIOD]
tame [AND] beautiful [IMPLY] wandering [PERIOD]
attractive [AND] hilarious [AND] beautiful [IMPLY] lucky [PERIOD]
friendly [AND] attractive [IMPLY] hilarious [PERIOD]
wandering [IMPLY] attractive [PERIOD]
beautiful [AND] gorgeous [AND] wandering [IMPLY] impartial [PERIOD]
clean [AND] friendly [IMPLY] beautiful [PERIOD]
impartial [AND] hilarious [IMPLY] tame [PERIOD]
clean [IMPLY] lucky [PERIOD]
gorgeous [IMPLY] tame [PERIOD]
hilarious [AND] gorgeous [IMPLY] careless [PERIOD]
gorgeous [AND] hilarious [AND] clean [IMPLY] beautiful [PERIOD]
attractive [IMPLY] gorgeous [PERIOD]
pleasant [IMPLY] hilarious [PERIOD]
pleasant [AND] beautiful [IMPLY] light [PERIOD]
beautiful [AND] light [AND] tame [IMPLY] careless [PERIOD]
light [IMPLY] courageous [PERIOD]
tame [AND] light [AND] careless [IMPLY] lucky [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   Cannot apply rule “tame ∧ light ⇒ gorgeous” because missing: tame, light.
   Cannot apply rule “hilarious ∧ clean ⇒ gorgeous” because missing: hilarious, clean.
   Cannot apply rule “attractive ⇒ gorgeous” because missing: attractive.
",0,3
"Facts:  Alice is sincere [PERIOD] Alice is aggressive [PERIOD] Alice is sensible [PERIOD] Alice is agreeable [PERIOD] Alice is famous [PERIOD] Alice is busy [PERIOD] Alice is gleaming [PERIOD]
Rules:
busy [AND] courageous [IMPLY] famous [PERIOD]
famous [IMPLY] gifted [PERIOD]
distinct [AND] combative [IMPLY] agreeable [PERIOD]
stubborn [AND] talkative [AND] busy [IMPLY] gifted [PERIOD]
sensible [AND] distinct [IMPLY] muddy [PERIOD]
spotless [AND] gleaming [AND] fancy [IMPLY] inexpensive [PERIOD]
foolish [AND] courageous [AND] aggressive [IMPLY] combative [PERIOD]
combative [AND] thoughtful [AND] talkative [IMPLY] sensible [PERIOD]
agreeable [AND] gifted [IMPLY] aggressive [PERIOD]
messy [IMPLY] foolish [PERIOD]
spotless [IMPLY] messy [PERIOD]
average [AND] messy [IMPLY] sincere [PERIOD]
spotless [AND] inexpensive [AND] fancy [IMPLY] selfish [PERIOD]
stubborn [AND] combative [IMPLY] selfish [PERIOD]
combative [AND] inexpensive [IMPLY] confused [PERIOD]
distinct [AND] courageous [AND] sensible [IMPLY] sincere [PERIOD]
courageous [AND] fancy [AND] clumsy [IMPLY] sensible [PERIOD]
fancy [AND] aggressive [IMPLY] sincere [PERIOD]
clumsy [AND] selfish [IMPLY] sleepy [PERIOD]
sleepy [IMPLY] sensible [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is scared [PERIOD] Alice is lucky [PERIOD] Alice is spotless [PERIOD] Alice is sincere [PERIOD] Alice is outstanding [PERIOD]
Rules:
impartial [AND] grumpy [IMPLY] talkative [PERIOD]
disobedient [IMPLY] dull [PERIOD]
curious [AND] careless [AND] lucky [IMPLY] dull [PERIOD]
impartial [AND] lucky [IMPLY] dull [PERIOD]
lucky [AND] shy [IMPLY] impartial [PERIOD]
grumpy [IMPLY] pessimistic [PERIOD]
disobedient [IMPLY] shy [PERIOD]
joyous [AND] curious [IMPLY] lucky [PERIOD]
scared [AND] lucky [AND] comfortable [IMPLY] grumpy [PERIOD]
lucky [IMPLY] charming [PERIOD]
talkative [AND] disobedient [AND] joyous [IMPLY] grumpy [PERIOD]
joyous [AND] spotless [AND] scared [IMPLY] charming [PERIOD]
famous [AND] comfortable [IMPLY] talkative [PERIOD]
talkative [IMPLY] disobedient [PERIOD]
comfortable [IMPLY] curious [PERIOD]
careless [AND] grumpy [AND] charming [IMPLY] pessimistic [PERIOD]
talkative [IMPLY] outstanding [PERIOD]
grumpy [AND] shy [IMPLY] dull [PERIOD]
impartial [AND] joyous [IMPLY] comfortable [PERIOD]
famous [IMPLY] charming [PERIOD]
disobedient [AND] sincere [AND] joyous [IMPLY] charming [PERIOD]
sincere [AND] outstanding [AND] comfortable [IMPLY] careless [PERIOD]
spotless [AND] grumpy [IMPLY] curious [PERIOD]
joyous [AND] famous [AND] sincere [IMPLY] charming [PERIOD]
joyous [AND] comfortable [IMPLY] pessimistic [PERIOD]
joyous [AND] scared [AND] outstanding [IMPLY] talkative [PERIOD]
dull [AND] lucky [IMPLY] impartial [PERIOD]
grumpy [AND] careless [IMPLY] disobedient [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is joyous [PERIOD] Alice is stormy [PERIOD] Alice is lonely [PERIOD]
Rules:
stormy [AND] lonely [AND] loving [IMPLY] long [PERIOD]
hypocritical [AND] impatient [AND] hurt [IMPLY] wide-eyed [PERIOD]
aggressive [AND] long [AND] straightforward [IMPLY] loving [PERIOD]
lonely [AND] careless [AND] long [IMPLY] aggressive [PERIOD]
loving [AND] aggressive [IMPLY] proud [PERIOD]
careless [AND] aggressive [IMPLY] long [PERIOD]
impatient [AND] lonely [IMPLY] aggressive [PERIOD]
stormy [AND] loving [IMPLY] impatient [PERIOD]
wide-eyed [AND] joyous [IMPLY] straightforward [PERIOD]
stormy [AND] careless [AND] long [IMPLY] wide-eyed [PERIOD]
straightforward [IMPLY] proud [PERIOD]
careless [AND] hurt [AND] wide-eyed [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] straightforward [PERIOD]
hurt [IMPLY] long [PERIOD]
straightforward [AND] proud [AND] loving [IMPLY] impatient [PERIOD]
careless [AND] hypocritical [IMPLY] joyous [PERIOD]
hypocritical [IMPLY] careless [PERIOD]
wide-eyed [AND] hypocritical [IMPLY] hurt [PERIOD]
aggressive [AND] joyous [AND] long [IMPLY] wide-eyed [PERIOD]
impatient [IMPLY] wide-eyed [PERIOD]
joyous [IMPLY] careless [PERIOD]
aggressive [IMPLY] wide-eyed [PERIOD]
hypocritical [IMPLY] wide-eyed [PERIOD]
hypocritical [AND] straightforward [IMPLY] joyous [PERIOD]
straightforward [AND] long [IMPLY] aggressive [PERIOD]
loving [AND] careless [IMPLY] hypocritical [PERIOD]
impatient [IMPLY] hypocritical [PERIOD]
joyous [AND] long [IMPLY] proud [PERIOD]
wide-eyed [IMPLY] straightforward [PERIOD]
aggressive [AND] wide-eyed [IMPLY] joyous [PERIOD]
hypocritical [AND] loving [IMPLY] stormy [PERIOD]
loving [AND] lonely [IMPLY] proud [PERIOD]
impatient [AND] wide-eyed [AND] lonely [IMPLY] loving [PERIOD]
hypocritical [IMPLY] stormy [PERIOD]
careless [AND] long [AND] aggressive [IMPLY] stormy [PERIOD]
hurt [AND] careless [IMPLY] impatient [PERIOD]
lonely [IMPLY] impatient [PERIOD]
impatient [AND] straightforward [AND] stormy [IMPLY] wide-eyed [PERIOD]
Query: Alice is straightforward [PERIOD]","Proof chain:
   lonely ⇒ impatient
   impatient ⇒ hypocritical
   hypocritical ⇒ straightforward
",1,3
"Facts:  Alice is frantic [PERIOD] Alice is supportive [PERIOD] Alice is reserved [PERIOD] Alice is enchanting [PERIOD] Alice is loving [PERIOD] Alice is agreeable [PERIOD]
Rules:
enchanting [AND] reserved [AND] proud [IMPLY] disgusted [PERIOD]
confused [AND] supportive [IMPLY] tense [PERIOD]
loving [AND] sleepy [IMPLY] enchanting [PERIOD]
courageous [IMPLY] hilarious [PERIOD]
aggressive [AND] charming [AND] frantic [IMPLY] confused [PERIOD]
sleepy [IMPLY] spotless [PERIOD]
unpleasant [IMPLY] frantic [PERIOD]
sleepy [AND] cute [AND] disgusted [IMPLY] reserved [PERIOD]
embarrassed [AND] supportive [AND] loving [IMPLY] courageous [PERIOD]
frantic [IMPLY] sleepy [PERIOD]
aggressive [IMPLY] agreeable [PERIOD]
agreeable [AND] embarrassed [AND] disgusted [IMPLY] aggressive [PERIOD]
embarrassed [IMPLY] supportive [PERIOD]
reserved [AND] embarrassed [AND] charming [IMPLY] aggressive [PERIOD]
supportive [AND] spotless [AND] embarrassed [IMPLY] hilarious [PERIOD]
tense [AND] sleepy [IMPLY] agreeable [PERIOD]
spotless [AND] agreeable [IMPLY] disgusted [PERIOD]
spotless [IMPLY] courageous [PERIOD]
agreeable [IMPLY] embarrassed [PERIOD]
proud [AND] sleepy [IMPLY] embarrassed [PERIOD]
tense [AND] cute [AND] spotless [IMPLY] confused [PERIOD]
agreeable [AND] cute [AND] charming [IMPLY] disgusted [PERIOD]
enchanting [AND] aggressive [AND] disgusted [IMPLY] sleepy [PERIOD]
courageous [IMPLY] cute [PERIOD]
confused [AND] unpleasant [IMPLY] cute [PERIOD]
cute [AND] unpleasant [AND] frantic [IMPLY] courageous [PERIOD]
hilarious [AND] frantic [IMPLY] confused [PERIOD]
charming [AND] enchanting [AND] loving [IMPLY] cute [PERIOD]
spotless [AND] cute [AND] courageous [IMPLY] supportive [PERIOD]
enchanting [AND] cute [AND] courageous [IMPLY] embarrassed [PERIOD]
agreeable [AND] enchanting [IMPLY] confused [PERIOD]
confused [IMPLY] hilarious [PERIOD]
sleepy [AND] aggressive [AND] reserved [IMPLY] supportive [PERIOD]
tense [AND] sleepy [AND] confused [IMPLY] courageous [PERIOD]
spotless [AND] aggressive [IMPLY] sleepy [PERIOD]
enchanting [AND] aggressive [IMPLY] courageous [PERIOD]
unpleasant [IMPLY] charming [PERIOD]
agreeable [AND] sleepy [AND] spotless [IMPLY] frantic [PERIOD]
embarrassed [AND] cute [IMPLY] reserved [PERIOD]
cute [AND] courageous [AND] sleepy [IMPLY] proud [PERIOD]
unpleasant [IMPLY] supportive [PERIOD]
reserved [IMPLY] disgusted [PERIOD]
agreeable [IMPLY] frantic [PERIOD]
frantic [IMPLY] spotless [PERIOD]
proud [IMPLY] enchanting [PERIOD]
Query: Alice is proud [PERIOD]","Proof chain:
   agreeable ⇒ embarrassed
   embarrassed ∧ supportive ∧ loving ⇒ courageous
   courageous ⇒ cute
   agreeable ⇒ embarrassed
   embarrassed ∧ supportive ∧ loving ⇒ courageous
   frantic ⇒ sleepy
   cute ∧ courageous ∧ sleepy ⇒ proud
",1,7
"Facts:  Alice is lucky [PERIOD] Alice is friendly [PERIOD]
Rules:
rude [AND] unpleasant [IMPLY] friendly [PERIOD]
friendly [IMPLY] lucky [PERIOD]
rude [IMPLY] powerful [PERIOD]
powerful [AND] lucky [IMPLY] rude [PERIOD]
unpleasant [AND] rude [AND] powerful [IMPLY] friendly [PERIOD]
rude [IMPLY] unpleasant [PERIOD]
unpleasant [AND] friendly [IMPLY] lucky [PERIOD]
rude [AND] friendly [AND] lucky [IMPLY] powerful [PERIOD]
lucky [AND] rude [IMPLY] friendly [PERIOD]
lucky [IMPLY] powerful [PERIOD]
unpleasant [AND] powerful [IMPLY] friendly [PERIOD]
friendly [AND] unpleasant [AND] powerful [IMPLY] rude [PERIOD]
powerful [IMPLY] lucky [PERIOD]
powerful [IMPLY] friendly [PERIOD]
unpleasant [AND] rude [AND] friendly [IMPLY] powerful [PERIOD]
unpleasant [AND] rude [AND] lucky [IMPLY] powerful [PERIOD]
Query: Alice is unpleasant [PERIOD]","Proof chain:
   lucky ⇒ powerful
   powerful ∧ lucky ⇒ rude
   rude ⇒ unpleasant
",1,3
"Facts:  Alice is versatile [PERIOD]
Rules:
careless [IMPLY] grumpy [PERIOD]
helpless [AND] lonely [AND] loving [IMPLY] grumpy [PERIOD]
versatile [IMPLY] helpless [PERIOD]
grumpy [AND] helpless [IMPLY] lonely [PERIOD]
lonely [AND] versatile [IMPLY] loving [PERIOD]
lonely [AND] loving [IMPLY] careless [PERIOD]
rational [AND] versatile [IMPLY] lonely [PERIOD]
versatile [IMPLY] grumpy [PERIOD]
loving [AND] lonely [IMPLY] grumpy [PERIOD]
loving [AND] careless [AND] helpless [IMPLY] lonely [PERIOD]
helpless [AND] versatile [AND] grumpy [IMPLY] careless [PERIOD]
grumpy [IMPLY] careless [PERIOD]
versatile [AND] helpless [AND] loving [IMPLY] lonely [PERIOD]
Query: Alice is loving [PERIOD]","Proof chain:
   versatile ⇒ grumpy
   versatile ⇒ helpless
   grumpy ∧ helpless ⇒ lonely
   lonely ∧ versatile ⇒ loving
",1,4
"Facts:  Alice is frail [PERIOD]
Rules:
troubled [AND] excited [AND] weary [IMPLY] hilarious [PERIOD]
excited [AND] hilarious [IMPLY] weary [PERIOD]
excited [IMPLY] weary [PERIOD]
troubled [AND] wide-eyed [IMPLY] hilarious [PERIOD]
troubled [AND] hilarious [IMPLY] wide-eyed [PERIOD]
weary [AND] excited [AND] hilarious [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] excited [IMPLY] weary [PERIOD]
hilarious [AND] weary [AND] frail [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] weary [IMPLY] troubled [PERIOD]
excited [IMPLY] frail [PERIOD]
hilarious [IMPLY] excited [PERIOD]
hilarious [IMPLY] weary [PERIOD]
excited [AND] wide-eyed [IMPLY] troubled [PERIOD]
troubled [AND] hilarious [IMPLY] excited [PERIOD]
weary [AND] troubled [AND] hilarious [IMPLY] excited [PERIOD]
troubled [AND] frail [AND] excited [IMPLY] wide-eyed [PERIOD]
frail [AND] hilarious [IMPLY] wide-eyed [PERIOD]
wide-eyed [IMPLY] troubled [PERIOD]
Query: Alice is wide-eyed [PERIOD]","Proof chain:
   Cannot apply rule “troubled ∧ hilarious ⇒ wide-eyed” because missing: troubled, hilarious.
   Cannot apply rule “weary ∧ excited ∧ hilarious ⇒ wide-eyed” because missing: weary, excited, hilarious.
   Cannot apply rule “hilarious ∧ weary ∧ frail ⇒ wide-eyed” because missing: hilarious, weary.
   Cannot apply rule “troubled ∧ frail ∧ excited ⇒ wide-eyed” because missing: troubled, excited.
   Cannot apply rule “frail ∧ hilarious ⇒ wide-eyed” because missing: hilarious.
",0,5
"Facts:  Alice is reserved [PERIOD] Alice is smart [PERIOD] Alice is stupid [PERIOD] Alice is fragile [PERIOD] Alice is nervous [PERIOD] Alice is inexpensive [PERIOD] Alice is crowded [PERIOD]
Rules:
scared [IMPLY] tidy [PERIOD]
lonely [AND] exuberant [AND] fine [IMPLY] smart [PERIOD]
fragile [IMPLY] proud [PERIOD]
smart [IMPLY] stupid [PERIOD]
crowded [AND] fragile [IMPLY] stupid [PERIOD]
fine [AND] exuberant [AND] stupid [IMPLY] proud [PERIOD]
reserved [IMPLY] scared [PERIOD]
stupid [IMPLY] sincere [PERIOD]
proud [IMPLY] reserved [PERIOD]
lonely [IMPLY] cruel [PERIOD]
proud [IMPLY] scared [PERIOD]
inexpensive [AND] sincere [IMPLY] lonely [PERIOD]
charming [AND] reserved [IMPLY] proud [PERIOD]
tidy [AND] proud [IMPLY] cruel [PERIOD]
fragile [IMPLY] charming [PERIOD]
exuberant [AND] cruel [IMPLY] charming [PERIOD]
tidy [AND] fine [IMPLY] inexpensive [PERIOD]
crowded [AND] stupid [AND] nervous [IMPLY] proud [PERIOD]
nervous [AND] lonely [AND] scared [IMPLY] reserved [PERIOD]
crowded [IMPLY] proud [PERIOD]
lonely [AND] reserved [IMPLY] nervous [PERIOD]
reserved [AND] sincere [AND] lonely [IMPLY] inexpensive [PERIOD]
scared [AND] fragile [AND] cruel [IMPLY] fine [PERIOD]
stupid [IMPLY] tidy [PERIOD]
fine [AND] smart [AND] inexpensive [IMPLY] charming [PERIOD]
proud [AND] cruel [IMPLY] smart [PERIOD]
sincere [AND] tidy [IMPLY] inexpensive [PERIOD]
Query: Alice is fine [PERIOD]","Proof chain:
   reserved ⇒ scared
   stupid ⇒ tidy
   crowded ⇒ proud
   tidy ∧ proud ⇒ cruel
   scared ∧ fragile ∧ cruel ⇒ fine
",1,5
"Facts:  Alice is average [PERIOD] Alice is anxious [PERIOD] Alice is tame [PERIOD] Alice is alert [PERIOD] Alice is fancy [PERIOD] Alice is calm [PERIOD]
Rules:
calm [AND] naughty [AND] alert [IMPLY] tame [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is smart [PERIOD]
Rules:
stubborn [AND] careless [IMPLY] charming [PERIOD]
naughty [AND] anxious [IMPLY] joyous [PERIOD]
popular [AND] talkative [AND] stubborn [IMPLY] anxious [PERIOD]
bossy [AND] enchanting [AND] shiny [IMPLY] helpful [PERIOD]
zealous [AND] adorable [AND] charming [IMPLY] careless [PERIOD]
alert [IMPLY] agreeable [PERIOD]
charming [IMPLY] shiny [PERIOD]
joyous [AND] agreeable [AND] mean [IMPLY] shiny [PERIOD]
tender [AND] careless [IMPLY] popular [PERIOD]
anxious [IMPLY] disobedient [PERIOD]
alert [IMPLY] bossy [PERIOD]
charming [AND] adorable [IMPLY] tender [PERIOD]
shiny [AND] naughty [IMPLY] stubborn [PERIOD]
charming [AND] shiny [AND] talkative [IMPLY] average [PERIOD]
careless [IMPLY] helpful [PERIOD]
mean [AND] average [AND] agreeable [IMPLY] adorable [PERIOD]
popular [AND] charming [AND] gifted [IMPLY] smart [PERIOD]
helpful [AND] agreeable [AND] mean [IMPLY] careless [PERIOD]
smart [AND] tender [IMPLY] gifted [PERIOD]
stubborn [AND] talkative [IMPLY] naughty [PERIOD]
average [AND] tender [AND] gifted [IMPLY] disgusted [PERIOD]
bossy [AND] average [IMPLY] powerful [PERIOD]
adorable [IMPLY] powerful [PERIOD]
bossy [AND] disobedient [IMPLY] smart [PERIOD]
stubborn [AND] smart [AND] disobedient [IMPLY] talkative [PERIOD]
mean [IMPLY] bossy [PERIOD]
adorable [AND] alert [AND] bossy [IMPLY] popular [PERIOD]
powerful [IMPLY] gifted [PERIOD]
disobedient [IMPLY] talkative [PERIOD]
alert [AND] naughty [IMPLY] charming [PERIOD]
mean [AND] smart [IMPLY] powerful [PERIOD]
joyous [IMPLY] smart [PERIOD]
naughty [IMPLY] agreeable [PERIOD]
joyous [AND] shiny [AND] agreeable [IMPLY] tender [PERIOD]
alert [AND] talkative [AND] confused [IMPLY] popular [PERIOD]
adorable [AND] confused [AND] mean [IMPLY] helpful [PERIOD]
smart [AND] disgusted [AND] mean [IMPLY] stubborn [PERIOD]
smart [AND] naughty [IMPLY] adorable [PERIOD]
powerful [AND] careless [AND] stubborn [IMPLY] helpful [PERIOD]
popular [AND] naughty [IMPLY] average [PERIOD]
popular [AND] naughty [IMPLY] smart [PERIOD]
disobedient [AND] powerful [AND] talkative [IMPLY] helpful [PERIOD]
confused [IMPLY] joyous [PERIOD]
zealous [AND] disgusted [IMPLY] tender [PERIOD]
popular [AND] average [IMPLY] naughty [PERIOD]
gifted [AND] average [IMPLY] naughty [PERIOD]
charming [AND] smart [IMPLY] tender [PERIOD]
enchanting [AND] gifted [IMPLY] disgusted [PERIOD]
zealous [IMPLY] adorable [PERIOD]
powerful [AND] zealous [IMPLY] alert [PERIOD]
gifted [AND] shiny [AND] enchanting [IMPLY] mean [PERIOD]
joyous [AND] careless [IMPLY] confused [PERIOD]
anxious [IMPLY] average [PERIOD]
average [IMPLY] naughty [PERIOD]
joyous [AND] smart [IMPLY] alert [PERIOD]
bossy [AND] enchanting [IMPLY] tender [PERIOD]
disobedient [AND] disgusted [IMPLY] gifted [PERIOD]
alert [AND] zealous [IMPLY] bossy [PERIOD]
talkative [IMPLY] gifted [PERIOD]
powerful [AND] tender [IMPLY] bossy [PERIOD]
zealous [AND] mean [IMPLY] charming [PERIOD]
disobedient [AND] naughty [IMPLY] mean [PERIOD]
careless [IMPLY] disgusted [PERIOD]
shiny [AND] popular [IMPLY] mean [PERIOD]
anxious [AND] average [AND] mean [IMPLY] naughty [PERIOD]
zealous [IMPLY] joyous [PERIOD]
helpful [AND] average [AND] careless [IMPLY] gifted [PERIOD]
charming [AND] tender [AND] anxious [IMPLY] helpful [PERIOD]
smart [AND] naughty [IMPLY] gifted [PERIOD]
helpful [AND] shiny [AND] adorable [IMPLY] tender [PERIOD]
disobedient [AND] naughty [AND] stubborn [IMPLY] talkative [PERIOD]
mean [AND] disobedient [IMPLY] careless [PERIOD]
careless [AND] disobedient [AND] powerful [IMPLY] disgusted [PERIOD]
helpful [IMPLY] alert [PERIOD]
confused [IMPLY] charming [PERIOD]
agreeable [AND] enchanting [IMPLY] gifted [PERIOD]
confused [AND] alert [AND] zealous [IMPLY] shiny [PERIOD]
disgusted [AND] shiny [IMPLY] mean [PERIOD]
mean [AND] disgusted [AND] adorable [IMPLY] tender [PERIOD]
confused [AND] stubborn [AND] helpful [IMPLY] naughty [PERIOD]
mean [AND] careless [AND] agreeable [IMPLY] talkative [PERIOD]
powerful [AND] shiny [AND] disobedient [IMPLY] naughty [PERIOD]
gifted [AND] smart [IMPLY] adorable [PERIOD]
popular [AND] smart [AND] disgusted [IMPLY] alert [PERIOD]
stubborn [AND] agreeable [AND] charming [IMPLY] powerful [PERIOD]
bossy [IMPLY] talkative [PERIOD]
anxious [AND] helpful [IMPLY] stubborn [PERIOD]
powerful [AND] naughty [IMPLY] smart [PERIOD]
naughty [AND] confused [AND] helpful [IMPLY] disgusted [PERIOD]
shiny [AND] helpful [IMPLY] adorable [PERIOD]
adorable [AND] disobedient [IMPLY] talkative [PERIOD]
helpful [AND] gifted [IMPLY] disgusted [PERIOD]
agreeable [AND] talkative [IMPLY] average [PERIOD]
tender [AND] shiny [AND] careless [IMPLY] stubborn [PERIOD]
mean [AND] smart [IMPLY] disobedient [PERIOD]
enchanting [AND] naughty [AND] joyous [IMPLY] zealous [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
   Cannot apply rule “stubborn ∧ talkative ⇒ naughty” because missing: stubborn, talkative.
   Cannot apply rule “popular ∧ average ⇒ naughty” because missing: popular, average.
   Cannot apply rule “gifted ∧ average ⇒ naughty” because missing: gifted, average.
   Cannot apply rule “average ⇒ naughty” because missing: average.
   Cannot apply rule “anxious ∧ average ∧ mean ⇒ naughty” because missing: anxious, average, mean.
   Cannot apply rule “confused ∧ stubborn ∧ helpful ⇒ naughty” because missing: confused, stubborn, helpful.
   Cannot apply rule “powerful ∧ shiny ∧ disobedient ⇒ naughty” because missing: powerful, shiny, disobedient.
",0,7
"Facts:  Alice is long [PERIOD] Alice is average [PERIOD] Alice is embarrassed [PERIOD] Alice is smart [PERIOD] Alice is excited [PERIOD] Alice is famous [PERIOD] Alice is elegant [PERIOD] Alice is troubled [PERIOD] Alice is light [PERIOD] Alice is anxious [PERIOD] Alice is tender [PERIOD] Alice is stubborn [PERIOD] Alice is victorious [PERIOD] Alice is old-fashioned [PERIOD] Alice is frantic [PERIOD]
Rules:
light [IMPLY] tender [PERIOD]
average [AND] light [IMPLY] tender [PERIOD]
frantic [AND] victorious [IMPLY] long [PERIOD]
light [IMPLY] embarrassed [PERIOD]
excited [AND] elegant [AND] weary [IMPLY] long [PERIOD]
embarrassed [AND] frantic [IMPLY] famous [PERIOD]
fragile [IMPLY] stubborn [PERIOD]
famous [AND] fragile [IMPLY] long [PERIOD]
average [IMPLY] long [PERIOD]
excited [AND] fragile [IMPLY] old-fashioned [PERIOD]
frantic [IMPLY] victorious [PERIOD]
fragile [IMPLY] famous [PERIOD]
weary [IMPLY] embarrassed [PERIOD]
tender [AND] fragile [AND] old-fashioned [IMPLY] famous [PERIOD]
long [IMPLY] smart [PERIOD]
long [AND] embarrassed [AND] light [IMPLY] average [PERIOD]
famous [AND] light [IMPLY] stubborn [PERIOD]
embarrassed [AND] victorious [IMPLY] troubled [PERIOD]
average [AND] smart [IMPLY] anxious [PERIOD]
famous [AND] smart [AND] light [IMPLY] fragile [PERIOD]
tender [AND] long [AND] stubborn [IMPLY] victorious [PERIOD]
elegant [AND] long [AND] frantic [IMPLY] anxious [PERIOD]
light [AND] embarrassed [AND] elegant [IMPLY] weary [PERIOD]
excited [AND] embarrassed [IMPLY] frantic [PERIOD]
light [AND] old-fashioned [IMPLY] anxious [PERIOD]
light [IMPLY] smart [PERIOD]
troubled [AND] weary [IMPLY] average [PERIOD]
embarrassed [AND] long [IMPLY] elegant [PERIOD]
light [AND] tender [IMPLY] smart [PERIOD]
weary [IMPLY] tender [PERIOD]
old-fashioned [AND] elegant [IMPLY] fragile [PERIOD]
smart [AND] anxious [AND] average [IMPLY] troubled [PERIOD]
smart [AND] tender [IMPLY] old-fashioned [PERIOD]
famous [AND] weary [AND] excited [IMPLY] elegant [PERIOD]
tender [AND] famous [AND] light [IMPLY] weary [PERIOD]
average [AND] embarrassed [IMPLY] long [PERIOD]
famous [AND] old-fashioned [IMPLY] fragile [PERIOD]
victorious [IMPLY] old-fashioned [PERIOD]
fragile [AND] troubled [AND] smart [IMPLY] long [PERIOD]
light [IMPLY] excited [PERIOD]
weary [AND] old-fashioned [AND] fragile [IMPLY] light [PERIOD]
average [AND] weary [AND] long [IMPLY] anxious [PERIOD]
weary [AND] fragile [AND] frantic [IMPLY] victorious [PERIOD]
victorious [IMPLY] stubborn [PERIOD]
smart [IMPLY] tender [PERIOD]
frantic [IMPLY] tender [PERIOD]
tender [IMPLY] excited [PERIOD]
light [AND] old-fashioned [AND] stubborn [IMPLY] fragile [PERIOD]
old-fashioned [IMPLY] tender [PERIOD]
old-fashioned [AND] smart [AND] troubled [IMPLY] stubborn [PERIOD]
embarrassed [AND] troubled [IMPLY] stubborn [PERIOD]
old-fashioned [AND] troubled [AND] anxious [IMPLY] smart [PERIOD]
frantic [IMPLY] embarrassed [PERIOD]
fragile [IMPLY] victorious [PERIOD]
troubled [AND] anxious [IMPLY] light [PERIOD]
frantic [AND] elegant [AND] excited [IMPLY] anxious [PERIOD]
old-fashioned [AND] elegant [IMPLY] famous [PERIOD]
excited [IMPLY] troubled [PERIOD]
troubled [AND] old-fashioned [IMPLY] tender [PERIOD]
victorious [IMPLY] famous [PERIOD]
famous [IMPLY] weary [PERIOD]
elegant [AND] tender [IMPLY] light [PERIOD]
excited [IMPLY] long [PERIOD]
excited [AND] average [AND] elegant [IMPLY] weary [PERIOD]
average [IMPLY] elegant [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is powerful [PERIOD] Alice is frantic [PERIOD] Alice is loving [PERIOD]
Rules:
tidy [IMPLY] excited [PERIOD]
horrible [IMPLY] mysterious [PERIOD]
easy [AND] agreeable [IMPLY] sleepy [PERIOD]
easy [AND] powerful [IMPLY] average [PERIOD]
mysterious [AND] average [AND] helpful [IMPLY] homely [PERIOD]
alert [IMPLY] bored [PERIOD]
victorious [AND] bored [IMPLY] helpful [PERIOD]
loving [AND] mysterious [AND] excited [IMPLY] hilarious [PERIOD]
powerful [AND] alert [IMPLY] thoughtless [PERIOD]
victorious [AND] horrible [AND] lucky [IMPLY] homely [PERIOD]
loving [AND] aggressive [AND] modern [IMPLY] sleepy [PERIOD]
lucky [AND] powerful [IMPLY] frantic [PERIOD]
homely [AND] easy [IMPLY] agreeable [PERIOD]
easy [AND] helpful [AND] average [IMPLY] gorgeous [PERIOD]
alert [IMPLY] mysterious [PERIOD]
tidy [AND] alert [AND] bored [IMPLY] powerful [PERIOD]
homely [AND] alert [IMPLY] frantic [PERIOD]
hilarious [AND] horrible [AND] homely [IMPLY] loving [PERIOD]
alert [IMPLY] loving [PERIOD]
helpful [AND] scared [AND] mysterious [IMPLY] tidy [PERIOD]
powerful [AND] easy [IMPLY] loving [PERIOD]
excited [IMPLY] loving [PERIOD]
sleepy [IMPLY] hilarious [PERIOD]
hilarious [AND] aggressive [AND] victorious [IMPLY] mysterious [PERIOD]
agreeable [AND] average [IMPLY] mysterious [PERIOD]
hilarious [AND] thoughtless [IMPLY] excited [PERIOD]
agreeable [AND] excited [IMPLY] alert [PERIOD]
gorgeous [IMPLY] tidy [PERIOD]
modern [AND] frightened [IMPLY] horrible [PERIOD]
scared [AND] horrible [IMPLY] excited [PERIOD]
modern [AND] troubled [AND] easy [IMPLY] excited [PERIOD]
mysterious [AND] frightened [IMPLY] average [PERIOD]
aggressive [IMPLY] modern [PERIOD]
loving [AND] mysterious [AND] agreeable [IMPLY] thoughtless [PERIOD]
thoughtless [IMPLY] average [PERIOD]
bored [AND] horrible [AND] modern [IMPLY] frantic [PERIOD]
lucky [AND] homely [AND] horrible [IMPLY] tidy [PERIOD]
confused [AND] helpful [AND] scared [IMPLY] troubled [PERIOD]
bored [AND] average [IMPLY] frightened [PERIOD]
hilarious [AND] troubled [AND] thoughtless [IMPLY] aggressive [PERIOD]
aggressive [AND] average [IMPLY] sleepy [PERIOD]
modern [AND] scared [AND] thoughtless [IMPLY] hilarious [PERIOD]
sleepy [IMPLY] thoughtless [PERIOD]
scared [AND] thoughtless [IMPLY] hilarious [PERIOD]
modern [IMPLY] homely [PERIOD]
frantic [IMPLY] average [PERIOD]
easy [AND] homely [IMPLY] bored [PERIOD]
lucky [AND] tidy [IMPLY] mysterious [PERIOD]
average [AND] victorious [IMPLY] loving [PERIOD]
loving [AND] scared [AND] sleepy [IMPLY] easy [PERIOD]
sleepy [IMPLY] powerful [PERIOD]
frantic [AND] excited [AND] confused [IMPLY] bored [PERIOD]
average [IMPLY] alert [PERIOD]
thoughtless [IMPLY] scared [PERIOD]
average [AND] frightened [IMPLY] loving [PERIOD]
mysterious [AND] tidy [AND] victorious [IMPLY] homely [PERIOD]
aggressive [AND] easy [IMPLY] lucky [PERIOD]
victorious [IMPLY] scared [PERIOD]
powerful [AND] horrible [AND] agreeable [IMPLY] troubled [PERIOD]
frightened [IMPLY] thoughtless [PERIOD]
victorious [AND] tidy [AND] confused [IMPLY] powerful [PERIOD]
sleepy [IMPLY] scared [PERIOD]
hilarious [IMPLY] average [PERIOD]
helpful [AND] frantic [AND] horrible [IMPLY] hilarious [PERIOD]
easy [IMPLY] victorious [PERIOD]
powerful [AND] modern [AND] thoughtless [IMPLY] alert [PERIOD]
troubled [AND] frightened [IMPLY] confused [PERIOD]
mysterious [IMPLY] modern [PERIOD]
powerful [AND] excited [IMPLY] gorgeous [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   frantic ⇒ average
   average ⇒ alert
   alert ⇒ mysterious
   mysterious ⇒ modern
   modern ⇒ homely
   Cannot apply rule “homely ∧ easy ⇒ agreeable” because missing: easy.
",0,6
"Facts:  Alice is beautiful [PERIOD] Alice is glamorous [PERIOD] Alice is comfortable [PERIOD] Alice is lonely [PERIOD] Alice is aggressive [PERIOD]
Rules:
lonely [IMPLY] comfortable [PERIOD]
comfortable [AND] lonely [AND] outrageous [IMPLY] glamorous [PERIOD]
aggressive [IMPLY] comfortable [PERIOD]
unpleasant [AND] fearless [IMPLY] glamorous [PERIOD]
lonely [AND] fearless [AND] outrageous [IMPLY] glamorous [PERIOD]
lonely [AND] comfortable [AND] foolish [IMPLY] unpleasant [PERIOD]
cooperative [IMPLY] fearless [PERIOD]
cooperative [AND] foolish [IMPLY] lonely [PERIOD]
foolish [AND] fearless [AND] unpleasant [IMPLY] lonely [PERIOD]
outrageous [AND] comfortable [AND] beautiful [IMPLY] unpleasant [PERIOD]
glamorous [AND] outrageous [IMPLY] fearless [PERIOD]
aggressive [AND] outrageous [IMPLY] glamorous [PERIOD]
outrageous [IMPLY] cooperative [PERIOD]
comfortable [IMPLY] outrageous [PERIOD]
foolish [AND] comfortable [IMPLY] lonely [PERIOD]
unpleasant [IMPLY] foolish [PERIOD]
fearless [AND] comfortable [AND] aggressive [IMPLY] unpleasant [PERIOD]
foolish [AND] fearless [AND] aggressive [IMPLY] lonely [PERIOD]
outrageous [IMPLY] foolish [PERIOD]
glamorous [AND] unpleasant [AND] outrageous [IMPLY] fearless [PERIOD]
unpleasant [AND] cooperative [AND] foolish [IMPLY] lonely [PERIOD]
glamorous [AND] outrageous [AND] foolish [IMPLY] lonely [PERIOD]
glamorous [IMPLY] beautiful [PERIOD]
glamorous [IMPLY] fearless [PERIOD]
unpleasant [AND] comfortable [AND] fearless [IMPLY] beautiful [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   comfortable ⇒ outrageous
   outrageous ⇒ cooperative
",1,2
"Facts:  Alice is troubled [PERIOD]
Rules:
bored [AND] amused [AND] precious [IMPLY] troubled [PERIOD]
bored [AND] polite [IMPLY] comfortable [PERIOD]
blushing [AND] average [AND] curious [IMPLY] muddy [PERIOD]
cute [IMPLY] amused [PERIOD]
curious [IMPLY] old-fashioned [PERIOD]
perfect [AND] cute [AND] troubled [IMPLY] frail [PERIOD]
amused [AND] blushing [AND] tired [IMPLY] average [PERIOD]
perfect [AND] frail [AND] long [IMPLY] blushing [PERIOD]
amused [AND] bored [AND] perfect [IMPLY] cute [PERIOD]
perfect [AND] frail [AND] witty [IMPLY] tired [PERIOD]
comfortable [AND] precious [IMPLY] troubled [PERIOD]
long [AND] bored [IMPLY] average [PERIOD]
witty [AND] troubled [IMPLY] muddy [PERIOD]
anxious [IMPLY] tired [PERIOD]
perfect [IMPLY] cute [PERIOD]
long [IMPLY] witty [PERIOD]
adorable [AND] curious [IMPLY] tired [PERIOD]
tired [AND] muddy [IMPLY] curious [PERIOD]
long [AND] cute [IMPLY] bored [PERIOD]
perfect [IMPLY] adorable [PERIOD]
anxious [AND] blushing [AND] comfortable [IMPLY] cute [PERIOD]
amused [IMPLY] tired [PERIOD]
old-fashioned [IMPLY] amused [PERIOD]
average [IMPLY] comfortable [PERIOD]
adorable [AND] amused [AND] muddy [IMPLY] perfect [PERIOD]
long [IMPLY] cute [PERIOD]
polite [AND] frail [AND] troubled [IMPLY] cute [PERIOD]
amused [IMPLY] troubled [PERIOD]
tired [AND] old-fashioned [AND] amused [IMPLY] witty [PERIOD]
perfect [IMPLY] bored [PERIOD]
bored [IMPLY] comfortable [PERIOD]
cute [IMPLY] perfect [PERIOD]
cute [AND] muddy [AND] long [IMPLY] comfortable [PERIOD]
average [AND] old-fashioned [IMPLY] amused [PERIOD]
troubled [AND] cute [AND] perfect [IMPLY] curious [PERIOD]
average [AND] blushing [AND] precious [IMPLY] long [PERIOD]
bored [AND] frail [IMPLY] blushing [PERIOD]
amused [IMPLY] blushing [PERIOD]
frail [AND] cute [AND] curious [IMPLY] troubled [PERIOD]
old-fashioned [IMPLY] comfortable [PERIOD]
anxious [AND] blushing [AND] comfortable [IMPLY] average [PERIOD]
curious [AND] polite [IMPLY] adorable [PERIOD]
cute [AND] curious [AND] comfortable [IMPLY] tired [PERIOD]
average [AND] troubled [AND] polite [IMPLY] adorable [PERIOD]
muddy [AND] adorable [AND] blushing [IMPLY] bored [PERIOD]
perfect [IMPLY] blushing [PERIOD]
long [AND] anxious [IMPLY] amused [PERIOD]
precious [IMPLY] long [PERIOD]
precious [AND] old-fashioned [IMPLY] curious [PERIOD]
troubled [IMPLY] anxious [PERIOD]
curious [IMPLY] tired [PERIOD]
comfortable [AND] blushing [AND] polite [IMPLY] frail [PERIOD]
anxious [AND] average [AND] witty [IMPLY] tired [PERIOD]
troubled [AND] old-fashioned [AND] amused [IMPLY] perfect [PERIOD]
muddy [AND] anxious [IMPLY] polite [PERIOD]
frail [AND] comfortable [AND] polite [IMPLY] amused [PERIOD]
adorable [AND] cute [AND] long [IMPLY] curious [PERIOD]
amused [IMPLY] frail [PERIOD]
curious [IMPLY] frail [PERIOD]
muddy [AND] tired [IMPLY] troubled [PERIOD]
long [AND] amused [AND] adorable [IMPLY] tired [PERIOD]
bored [AND] average [AND] precious [IMPLY] witty [PERIOD]
blushing [IMPLY] anxious [PERIOD]
cute [AND] troubled [AND] amused [IMPLY] anxious [PERIOD]
old-fashioned [AND] bored [IMPLY] muddy [PERIOD]
anxious [AND] polite [AND] frail [IMPLY] comfortable [PERIOD]
average [IMPLY] perfect [PERIOD]
blushing [AND] precious [IMPLY] anxious [PERIOD]
precious [AND] curious [AND] adorable [IMPLY] blushing [PERIOD]
adorable [AND] long [AND] anxious [IMPLY] witty [PERIOD]
cute [IMPLY] adorable [PERIOD]
amused [AND] blushing [IMPLY] curious [PERIOD]
cute [IMPLY] comfortable [PERIOD]
Query: Alice is blushing [PERIOD]","Proof chain:
   Cannot apply rule “perfect ∧ frail ∧ long ⇒ blushing” because missing: perfect, frail, long.
   Cannot apply rule “bored ∧ frail ⇒ blushing” because missing: bored, frail.
   Cannot apply rule “amused ⇒ blushing” because missing: amused.
   Cannot apply rule “perfect ⇒ blushing” because missing: perfect.
   Cannot apply rule “precious ∧ curious ∧ adorable ⇒ blushing” because missing: precious, curious, adorable.
",0,5
"Facts:  Alice is stubborn [PERIOD]
Rules:
lucky [IMPLY] stubborn [PERIOD]
curious [AND] attractive [AND] strange [IMPLY] unpleasant [PERIOD]
strange [IMPLY] grumpy [PERIOD]
mysterious [IMPLY] confused [PERIOD]
unpleasant [AND] confused [IMPLY] grumpy [PERIOD]
stubborn [AND] crowded [AND] confused [IMPLY] strange [PERIOD]
attractive [AND] grumpy [AND] crowded [IMPLY] mysterious [PERIOD]
stubborn [AND] grumpy [IMPLY] worried [PERIOD]
unpleasant [AND] talkative [AND] long [IMPLY] confused [PERIOD]
attractive [AND] enchanting [AND] worried [IMPLY] jittery [PERIOD]
worried [AND] talkative [IMPLY] strange [PERIOD]
attractive [AND] unpleasant [AND] long [IMPLY] worried [PERIOD]
troubled [IMPLY] attractive [PERIOD]
mysterious [AND] talkative [IMPLY] crowded [PERIOD]
curious [IMPLY] confused [PERIOD]
jittery [IMPLY] worried [PERIOD]
long [AND] lucky [IMPLY] talkative [PERIOD]
jittery [AND] worried [IMPLY] troubled [PERIOD]
enchanting [IMPLY] troubled [PERIOD]
zealous [AND] unpleasant [IMPLY] enchanting [PERIOD]
lucky [AND] stubborn [AND] troubled [IMPLY] grumpy [PERIOD]
lucky [AND] enchanting [AND] long [IMPLY] talkative [PERIOD]
enchanting [AND] confused [IMPLY] crowded [PERIOD]
crowded [AND] confused [IMPLY] stubborn [PERIOD]
zealous [IMPLY] attractive [PERIOD]
attractive [AND] enchanting [IMPLY] jittery [PERIOD]
crowded [AND] mysterious [IMPLY] jittery [PERIOD]
long [AND] confused [AND] enchanting [IMPLY] crowded [PERIOD]
lucky [AND] jittery [IMPLY] talkative [PERIOD]
worried [AND] talkative [AND] mysterious [IMPLY] lucky [PERIOD]
worried [AND] stubborn [AND] troubled [IMPLY] long [PERIOD]
long [IMPLY] troubled [PERIOD]
confused [AND] troubled [IMPLY] enchanting [PERIOD]
strange [AND] long [IMPLY] worried [PERIOD]
lucky [AND] mysterious [AND] curious [IMPLY] attractive [PERIOD]
troubled [AND] enchanting [IMPLY] attractive [PERIOD]
confused [AND] strange [IMPLY] zealous [PERIOD]
enchanting [IMPLY] curious [PERIOD]
attractive [AND] troubled [IMPLY] lucky [PERIOD]
stubborn [AND] troubled [IMPLY] jittery [PERIOD]
enchanting [IMPLY] confused [PERIOD]
curious [AND] confused [IMPLY] enchanting [PERIOD]
talkative [AND] unpleasant [AND] attractive [IMPLY] jittery [PERIOD]
enchanting [IMPLY] crowded [PERIOD]
crowded [AND] jittery [AND] enchanting [IMPLY] unpleasant [PERIOD]
jittery [IMPLY] grumpy [PERIOD]
confused [AND] curious [AND] grumpy [IMPLY] crowded [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   Cannot apply rule “mysterious ∧ talkative ⇒ crowded” because missing: mysterious, talkative.
   Cannot apply rule “enchanting ∧ confused ⇒ crowded” because missing: enchanting, confused.
   Cannot apply rule “long ∧ confused ∧ enchanting ⇒ crowded” because missing: long, confused, enchanting.
   Cannot apply rule “enchanting ⇒ crowded” because missing: enchanting.
   Cannot apply rule “confused ∧ curious ∧ grumpy ⇒ crowded” because missing: confused, curious, grumpy.
",0,5
"Facts:  Alice is foolish [PERIOD] Alice is inexpensive [PERIOD]
Rules:
wandering [AND] cute [AND] foolish [IMPLY] confident [PERIOD]
glamorous [AND] confident [AND] muddy [IMPLY] cute [PERIOD]
serious [IMPLY] cute [PERIOD]
shiny [IMPLY] blushing [PERIOD]
muddy [IMPLY] glamorous [PERIOD]
inexpensive [AND] foolish [IMPLY] shiny [PERIOD]
inexpensive [AND] serious [AND] glamorous [IMPLY] cute [PERIOD]
cute [AND] glamorous [IMPLY] confident [PERIOD]
shiny [AND] blushing [AND] confident [IMPLY] cute [PERIOD]
wandering [IMPLY] blushing [PERIOD]
glamorous [AND] confident [IMPLY] shiny [PERIOD]
inexpensive [AND] mysterious [IMPLY] foolish [PERIOD]
wrong [AND] shiny [IMPLY] confident [PERIOD]
wandering [AND] glamorous [AND] foolish [IMPLY] cute [PERIOD]
inexpensive [AND] serious [IMPLY] wrong [PERIOD]
foolish [IMPLY] shiny [PERIOD]
mysterious [AND] shiny [AND] glamorous [IMPLY] muddy [PERIOD]
cute [AND] foolish [IMPLY] wrong [PERIOD]
blushing [AND] inexpensive [IMPLY] glamorous [PERIOD]
serious [IMPLY] wrong [PERIOD]
confident [IMPLY] mysterious [PERIOD]
shiny [AND] serious [AND] blushing [IMPLY] confident [PERIOD]
confident [AND] foolish [AND] cute [IMPLY] glamorous [PERIOD]
cute [AND] foolish [IMPLY] inexpensive [PERIOD]
mysterious [AND] glamorous [IMPLY] inexpensive [PERIOD]
glamorous [IMPLY] muddy [PERIOD]
wrong [IMPLY] wandering [PERIOD]
shiny [AND] mysterious [IMPLY] serious [PERIOD]
cute [AND] inexpensive [IMPLY] serious [PERIOD]
serious [AND] blushing [IMPLY] foolish [PERIOD]
inexpensive [AND] serious [IMPLY] glamorous [PERIOD]
glamorous [IMPLY] shiny [PERIOD]
foolish [AND] wrong [IMPLY] confident [PERIOD]
serious [IMPLY] muddy [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   foolish ⇒ shiny
   Cannot apply rule “shiny ∧ mysterious ⇒ serious” because missing: mysterious.
   Cannot apply rule “cute ∧ inexpensive ⇒ serious” because missing: cute.
",0,3
"Facts:  Alice is helpless [PERIOD] Alice is diplomatic [PERIOD] Alice is elegant [PERIOD] Alice is tired [PERIOD]
Rules:
elegant [AND] nervous [AND] stubborn [IMPLY] bright [PERIOD]
confused [IMPLY] outrageous [PERIOD]
difficult [IMPLY] elegant [PERIOD]
bright [AND] diplomatic [AND] shiny [IMPLY] tired [PERIOD]
bright [AND] pessimistic [AND] busy [IMPLY] outrageous [PERIOD]
disobedient [IMPLY] diplomatic [PERIOD]
shiny [IMPLY] nervous [PERIOD]
helpless [AND] unpleasant [IMPLY] difficult [PERIOD]
impatient [AND] confused [AND] bright [IMPLY] tired [PERIOD]
impatient [AND] elegant [IMPLY] unpleasant [PERIOD]
homely [IMPLY] gleaming [PERIOD]
nervous [AND] busy [IMPLY] helpless [PERIOD]
diplomatic [AND] gleaming [IMPLY] nervous [PERIOD]
confused [IMPLY] tired [PERIOD]
outrageous [AND] tired [AND] bright [IMPLY] shiny [PERIOD]
confused [IMPLY] elegant [PERIOD]
pessimistic [IMPLY] gleaming [PERIOD]
Query: Alice is gleaming [PERIOD]","Proof chain:
   Cannot apply rule “homely ⇒ gleaming” because missing: homely.
   Cannot apply rule “pessimistic ⇒ gleaming” because missing: pessimistic.
",0,2
"Facts:  Alice is clean [PERIOD]
Rules:
distinct [AND] agreeable [AND] impartial [IMPLY] crowded [PERIOD]
crowded [IMPLY] impartial [PERIOD]
impartial [IMPLY] thoughtful [PERIOD]
clean [IMPLY] muddy [PERIOD]
distinct [AND] dishonest [AND] agreeable [IMPLY] clean [PERIOD]
distinct [AND] dishonest [AND] impartial [IMPLY] clean [PERIOD]
distinct [AND] clean [AND] impartial [IMPLY] muddy [PERIOD]
clean [AND] thoughtful [IMPLY] muddy [PERIOD]
clean [AND] thoughtful [AND] agreeable [IMPLY] crowded [PERIOD]
clean [IMPLY] impartial [PERIOD]
impartial [AND] clean [AND] dishonest [IMPLY] crowded [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   clean ⇒ impartial
   Cannot apply rule “distinct ∧ agreeable ∧ impartial ⇒ crowded” because missing: distinct, agreeable.
   clean ⇒ impartial
   impartial ⇒ thoughtful
   Cannot apply rule “clean ∧ thoughtful ∧ agreeable ⇒ crowded” because missing: agreeable.
   clean ⇒ impartial
   Cannot apply rule “impartial ∧ clean ∧ dishonest ⇒ crowded” because missing: dishonest.
",0,7
"Facts:  Alice is ambitious [PERIOD] Alice is unpleasant [PERIOD] Alice is tidy [PERIOD]
Rules:
proud [AND] tidy [AND] embarrassed [IMPLY] long [PERIOD]
outstanding [IMPLY] aggressive [PERIOD]
shy [IMPLY] aggressive [PERIOD]
frightened [AND] horrible [AND] tidy [IMPLY] impartial [PERIOD]
impartial [AND] aggressive [AND] ambitious [IMPLY] outstanding [PERIOD]
horrible [AND] frightened [IMPLY] foolish [PERIOD]
proud [AND] aggressive [IMPLY] inquisitive [PERIOD]
outstanding [IMPLY] jittery [PERIOD]
foolish [IMPLY] horrible [PERIOD]
jittery [AND] foolish [AND] proud [IMPLY] aggressive [PERIOD]
silly [AND] shy [IMPLY] joyous [PERIOD]
ambitious [AND] stormy [AND] hypocritical [IMPLY] silly [PERIOD]
stormy [AND] long [IMPLY] aggressive [PERIOD]
unpleasant [IMPLY] troubled [PERIOD]
long [AND] jittery [AND] comfortable [IMPLY] inquisitive [PERIOD]
silly [AND] jittery [AND] embarrassed [IMPLY] impartial [PERIOD]
joyous [AND] ambitious [IMPLY] silly [PERIOD]
inquisitive [AND] impartial [IMPLY] troubled [PERIOD]
inquisitive [IMPLY] foolish [PERIOD]
inquisitive [AND] jittery [IMPLY] embarrassed [PERIOD]
proud [IMPLY] shy [PERIOD]
silly [IMPLY] long [PERIOD]
proud [AND] jittery [AND] shy [IMPLY] excited [PERIOD]
aggressive [IMPLY] comfortable [PERIOD]
aggressive [IMPLY] calm [PERIOD]
frightened [AND] silly [IMPLY] joyous [PERIOD]
stormy [IMPLY] inquisitive [PERIOD]
combative [IMPLY] frightened [PERIOD]
inquisitive [AND] silly [IMPLY] outstanding [PERIOD]
joyous [AND] comfortable [AND] jittery [IMPLY] embarrassed [PERIOD]
aggressive [AND] unpleasant [AND] hypocritical [IMPLY] long [PERIOD]
joyous [AND] combative [AND] ambitious [IMPLY] horrible [PERIOD]
horrible [IMPLY] impartial [PERIOD]
impartial [AND] unpleasant [AND] horrible [IMPLY] troubled [PERIOD]
tidy [AND] embarrassed [IMPLY] hypocritical [PERIOD]
joyous [AND] ambitious [AND] combative [IMPLY] outstanding [PERIOD]
combative [IMPLY] comfortable [PERIOD]
proud [AND] outstanding [IMPLY] embarrassed [PERIOD]
comfortable [AND] silly [IMPLY] excited [PERIOD]
comfortable [AND] horrible [AND] long [IMPLY] aggressive [PERIOD]
aggressive [AND] joyous [IMPLY] stormy [PERIOD]
tidy [IMPLY] combative [PERIOD]
shy [IMPLY] horrible [PERIOD]
combative [AND] frightened [AND] troubled [IMPLY] tidy [PERIOD]
outstanding [AND] hypocritical [IMPLY] calm [PERIOD]
outstanding [AND] calm [AND] embarrassed [IMPLY] ambitious [PERIOD]
outstanding [AND] silly [AND] excited [IMPLY] stormy [PERIOD]
comfortable [AND] aggressive [AND] foolish [IMPLY] combative [PERIOD]
jittery [IMPLY] calm [PERIOD]
foolish [IMPLY] ambitious [PERIOD]
impartial [AND] shy [AND] jittery [IMPLY] excited [PERIOD]
silly [AND] excited [AND] tidy [IMPLY] calm [PERIOD]
outstanding [IMPLY] foolish [PERIOD]
shy [AND] aggressive [AND] horrible [IMPLY] stormy [PERIOD]
horrible [AND] jittery [IMPLY] proud [PERIOD]
proud [AND] hypocritical [IMPLY] frightened [PERIOD]
excited [AND] comfortable [AND] long [IMPLY] outstanding [PERIOD]
comfortable [AND] aggressive [AND] calm [IMPLY] unpleasant [PERIOD]
troubled [IMPLY] shy [PERIOD]
comfortable [AND] long [IMPLY] silly [PERIOD]
troubled [AND] outstanding [AND] jittery [IMPLY] ambitious [PERIOD]
unpleasant [IMPLY] silly [PERIOD]
jittery [AND] embarrassed [AND] unpleasant [IMPLY] joyous [PERIOD]
foolish [IMPLY] silly [PERIOD]
proud [IMPLY] inquisitive [PERIOD]
calm [IMPLY] proud [PERIOD]
tidy [IMPLY] aggressive [PERIOD]
comfortable [AND] frightened [IMPLY] combative [PERIOD]
aggressive [AND] calm [IMPLY] impartial [PERIOD]
aggressive [AND] unpleasant [AND] joyous [IMPLY] combative [PERIOD]
calm [IMPLY] jittery [PERIOD]
jittery [IMPLY] proud [PERIOD]
outstanding [IMPLY] silly [PERIOD]
calm [IMPLY] long [PERIOD]
comfortable [AND] impartial [AND] aggressive [IMPLY] tidy [PERIOD]
troubled [AND] horrible [AND] excited [IMPLY] frightened [PERIOD]
troubled [IMPLY] frightened [PERIOD]
ambitious [AND] comfortable [AND] unpleasant [IMPLY] outstanding [PERIOD]
ambitious [IMPLY] shy [PERIOD]
outstanding [AND] hypocritical [IMPLY] aggressive [PERIOD]
frightened [AND] embarrassed [AND] horrible [IMPLY] calm [PERIOD]
excited [AND] foolish [AND] combative [IMPLY] frightened [PERIOD]
comfortable [IMPLY] shy [PERIOD]
silly [AND] stormy [IMPLY] combative [PERIOD]
unpleasant [AND] joyous [AND] long [IMPLY] hypocritical [PERIOD]
unpleasant [AND] impartial [AND] long [IMPLY] hypocritical [PERIOD]
tidy [IMPLY] calm [PERIOD]
joyous [AND] horrible [IMPLY] long [PERIOD]
silly [AND] frightened [IMPLY] calm [PERIOD]
embarrassed [AND] excited [AND] silly [IMPLY] horrible [PERIOD]
long [AND] stormy [IMPLY] joyous [PERIOD]
inquisitive [AND] unpleasant [AND] embarrassed [IMPLY] combative [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   ambitious ⇒ shy
   tidy ⇒ aggressive
   ambitious ⇒ shy
   shy ⇒ horrible
   shy ∧ aggressive ∧ horrible ⇒ stormy
",1,5
"Facts:  Alice is difficult [PERIOD] Alice is precious [PERIOD] Alice is sincere [PERIOD]
Rules:
comfortable [AND] precious [AND] worrisome [IMPLY] difficult [PERIOD]
naughty [AND] vivacious [IMPLY] nervous [PERIOD]
sincere [AND] worrisome [IMPLY] difficult [PERIOD]
tired [AND] precious [IMPLY] vivacious [PERIOD]
comfortable [AND] vivacious [IMPLY] busy [PERIOD]
comfortable [IMPLY] difficult [PERIOD]
tender [AND] difficult [IMPLY] nervous [PERIOD]
smart [AND] worrisome [AND] vivacious [IMPLY] sincere [PERIOD]
sincere [IMPLY] precious [PERIOD]
sincere [AND] tender [IMPLY] naughty [PERIOD]
tired [AND] nervous [IMPLY] difficult [PERIOD]
tired [AND] naughty [IMPLY] tender [PERIOD]
naughty [AND] busy [AND] comfortable [IMPLY] precious [PERIOD]
vivacious [AND] smart [IMPLY] worrisome [PERIOD]
tired [IMPLY] tender [PERIOD]
smart [AND] tired [IMPLY] vivacious [PERIOD]
tender [IMPLY] nervous [PERIOD]
tender [AND] precious [AND] smart [IMPLY] difficult [PERIOD]
smart [AND] nervous [AND] worrisome [IMPLY] naughty [PERIOD]
tender [AND] tired [AND] comfortable [IMPLY] precious [PERIOD]
Query: Alice is comfortable [PERIOD]","Proof chain:
   No rule concludes “comfortable.”
",0,1
"Facts:  Alice is mysterious [PERIOD] Alice is serious [PERIOD] Alice is glamorous [PERIOD] Alice is worrisome [PERIOD] Alice is proud [PERIOD] Alice is lucky [PERIOD] Alice is elegant [PERIOD] Alice is curious [PERIOD] Alice is hypocritical [PERIOD] Alice is cute [PERIOD] Alice is combative [PERIOD] Alice is fragile [PERIOD] Alice is exuberant [PERIOD] Alice is outstanding [PERIOD] Alice is anxious [PERIOD] Alice is precious [PERIOD] Alice is confident [PERIOD] Alice is foolish [PERIOD]
Rules:
lucky [AND] elegant [AND] good [IMPLY] anxious [PERIOD]
aggressive [AND] serious [IMPLY] proud [PERIOD]
curious [AND] exuberant [AND] witty [IMPLY] good [PERIOD]
combative [IMPLY] glamorous [PERIOD]
long [AND] fancy [AND] good [IMPLY] talented [PERIOD]
serious [AND] cute [AND] anxious [IMPLY] talented [PERIOD]
elegant [AND] gorgeous [AND] glamorous [IMPLY] fancy [PERIOD]
long [AND] disgusted [AND] cooperative [IMPLY] precious [PERIOD]
glamorous [AND] worrisome [IMPLY] combative [PERIOD]
anxious [IMPLY] aggressive [PERIOD]
embarrassed [AND] fragile [IMPLY] disgusted [PERIOD]
outstanding [IMPLY] serious [PERIOD]
long [AND] serious [IMPLY] worrisome [PERIOD]
gorgeous [IMPLY] proud [PERIOD]
disgusted [AND] talented [IMPLY] embarrassed [PERIOD]
glamorous [AND] mean [IMPLY] embarrassed [PERIOD]
calm [IMPLY] embarrassed [PERIOD]
glamorous [AND] fancy [AND] mean [IMPLY] worrisome [PERIOD]
cute [IMPLY] foolish [PERIOD]
gorgeous [AND] combative [IMPLY] cooperative [PERIOD]
embarrassed [IMPLY] fragile [PERIOD]
outstanding [AND] worrisome [AND] fancy [IMPLY] combative [PERIOD]
cute [AND] fancy [AND] hypocritical [IMPLY] anxious [PERIOD]
outstanding [AND] precious [IMPLY] fragile [PERIOD]
worrisome [AND] disgusted [AND] serious [IMPLY] talented [PERIOD]
embarrassed [AND] disgusted [IMPLY] fancy [PERIOD]
good [AND] embarrassed [IMPLY] exuberant [PERIOD]
exuberant [AND] precious [AND] elegant [IMPLY] cooperative [PERIOD]
serious [IMPLY] confident [PERIOD]
anxious [AND] aggressive [AND] foolish [IMPLY] serious [PERIOD]
fancy [IMPLY] precious [PERIOD]
cute [AND] anxious [IMPLY] outstanding [PERIOD]
foolish [IMPLY] outstanding [PERIOD]
good [AND] mean [IMPLY] outstanding [PERIOD]
cute [IMPLY] confident [PERIOD]
hypocritical [IMPLY] worrisome [PERIOD]
hypocritical [AND] confident [AND] exuberant [IMPLY] proud [PERIOD]
mysterious [AND] precious [IMPLY] disgusted [PERIOD]
confident [AND] outstanding [AND] calm [IMPLY] combative [PERIOD]
talented [AND] mysterious [IMPLY] glamorous [PERIOD]
aggressive [AND] cooperative [AND] gorgeous [IMPLY] fancy [PERIOD]
embarrassed [IMPLY] proud [PERIOD]
glamorous [AND] elegant [AND] exuberant [IMPLY] gorgeous [PERIOD]
disgusted [AND] lucky [AND] mysterious [IMPLY] anxious [PERIOD]
gorgeous [IMPLY] worrisome [PERIOD]
long [AND] foolish [IMPLY] glamorous [PERIOD]
cooperative [IMPLY] lucky [PERIOD]
foolish [AND] cooperative [AND] fragile [IMPLY] lucky [PERIOD]
serious [AND] foolish [AND] exuberant [IMPLY] mysterious [PERIOD]
mysterious [AND] combative [AND] aggressive [IMPLY] cute [PERIOD]
aggressive [AND] elegant [AND] worrisome [IMPLY] hypocritical [PERIOD]
long [AND] witty [AND] exuberant [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] worrisome [PERIOD]
aggressive [AND] disgusted [IMPLY] worrisome [PERIOD]
embarrassed [IMPLY] talented [PERIOD]
good [AND] cute [AND] confident [IMPLY] witty [PERIOD]
talented [AND] serious [IMPLY] mean [PERIOD]
mean [AND] talented [IMPLY] fragile [PERIOD]
confident [IMPLY] lucky [PERIOD]
confident [IMPLY] foolish [PERIOD]
Query: Alice is precious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is smart [PERIOD] Alice is charming [PERIOD]
Rules:
clean [AND] clumsy [AND] different [IMPLY] stubborn [PERIOD]
smart [IMPLY] different [PERIOD]
reserved [AND] sleepy [AND] clean [IMPLY] smart [PERIOD]
different [IMPLY] thoughtful [PERIOD]
stubborn [AND] tired [AND] different [IMPLY] clumsy [PERIOD]
charming [AND] sleepy [IMPLY] tired [PERIOD]
tired [AND] stubborn [AND] charming [IMPLY] clean [PERIOD]
thoughtful [AND] charming [IMPLY] clean [PERIOD]
different [IMPLY] smart [PERIOD]
sleepy [AND] clumsy [IMPLY] thoughtful [PERIOD]
tired [AND] hilarious [AND] different [IMPLY] smart [PERIOD]
hilarious [AND] charming [AND] smart [IMPLY] different [PERIOD]
calm [AND] sleepy [IMPLY] stubborn [PERIOD]
sleepy [IMPLY] charming [PERIOD]
hilarious [IMPLY] calm [PERIOD]
tired [IMPLY] stubborn [PERIOD]
hilarious [AND] clumsy [IMPLY] clean [PERIOD]
hilarious [AND] different [IMPLY] reserved [PERIOD]
smart [AND] hilarious [IMPLY] calm [PERIOD]
charming [AND] calm [AND] clean [IMPLY] clumsy [PERIOD]
clean [IMPLY] reserved [PERIOD]
hilarious [AND] different [IMPLY] calm [PERIOD]
Query: Alice is stubborn [PERIOD]","Proof chain:
   smart ⇒ different
   different ⇒ thoughtful
   thoughtful ∧ charming ⇒ clean
   smart ⇒ different
   Cannot apply rule “clean ∧ clumsy ∧ different ⇒ stubborn” because missing: clumsy.
   Cannot apply rule “calm ∧ sleepy ⇒ stubborn” because missing: calm, sleepy.
   Cannot apply rule “tired ⇒ stubborn” because missing: tired.
",0,7
"Facts:  Alice is unpleasant [PERIOD] Alice is tender [PERIOD] Alice is dishonest [PERIOD] Alice is reserved [PERIOD] Alice is jittery [PERIOD]
Rules:
stormy [IMPLY] reserved [PERIOD]
aggressive [AND] unpleasant [AND] blushing [IMPLY] comfortable [PERIOD]
quaint [AND] sleepy [AND] aggressive [IMPLY] popular [PERIOD]
comfortable [AND] blushing [AND] careless [IMPLY] broad-minded [PERIOD]
outrageous [IMPLY] jittery [PERIOD]
aggressive [IMPLY] courageous [PERIOD]
stupid [AND] talkative [IMPLY] jittery [PERIOD]
reserved [AND] blushing [IMPLY] cruel [PERIOD]
jittery [AND] exuberant [IMPLY] good [PERIOD]
unpleasant [AND] jittery [AND] good [IMPLY] stormy [PERIOD]
dishonest [AND] impatient [AND] outrageous [IMPLY] stupid [PERIOD]
comfortable [IMPLY] frantic [PERIOD]
careless [AND] frantic [AND] scared [IMPLY] reserved [PERIOD]
scared [IMPLY] blushing [PERIOD]
blushing [IMPLY] broad-minded [PERIOD]
impatient [AND] tender [IMPLY] unpleasant [PERIOD]
blushing [AND] stupid [AND] cruel [IMPLY] quaint [PERIOD]
sleepy [AND] tender [IMPLY] careless [PERIOD]
broad-minded [IMPLY] popular [PERIOD]
proud [AND] zealous [AND] reserved [IMPLY] jittery [PERIOD]
sleepy [AND] cruel [AND] jittery [IMPLY] popular [PERIOD]
zealous [AND] impatient [IMPLY] aggressive [PERIOD]
zealous [AND] popular [AND] careless [IMPLY] aggressive [PERIOD]
frantic [IMPLY] stupid [PERIOD]
good [IMPLY] zealous [PERIOD]
reserved [AND] courageous [AND] outrageous [IMPLY] quaint [PERIOD]
popular [IMPLY] good [PERIOD]
proud [AND] dishonest [IMPLY] frantic [PERIOD]
courageous [AND] blushing [IMPLY] aggressive [PERIOD]
exuberant [IMPLY] stormy [PERIOD]
aggressive [IMPLY] dishonest [PERIOD]
scared [AND] blushing [IMPLY] frantic [PERIOD]
tender [IMPLY] outrageous [PERIOD]
scared [AND] reserved [AND] zealous [IMPLY] sincere [PERIOD]
impatient [IMPLY] proud [PERIOD]
cruel [AND] quaint [AND] scared [IMPLY] stormy [PERIOD]
jittery [AND] zealous [IMPLY] broad-minded [PERIOD]
cruel [AND] outrageous [AND] sleepy [IMPLY] stupid [PERIOD]
courageous [AND] impatient [IMPLY] frantic [PERIOD]
blushing [AND] careless [AND] proud [IMPLY] stormy [PERIOD]
aggressive [AND] outrageous [IMPLY] cruel [PERIOD]
frantic [AND] scared [AND] outrageous [IMPLY] stormy [PERIOD]
talkative [IMPLY] broad-minded [PERIOD]
good [AND] unpleasant [IMPLY] stormy [PERIOD]
sincere [AND] jittery [IMPLY] talkative [PERIOD]
quaint [AND] blushing [AND] dishonest [IMPLY] popular [PERIOD]
good [AND] sincere [AND] scared [IMPLY] jittery [PERIOD]
popular [AND] tender [AND] zealous [IMPLY] impatient [PERIOD]
careless [AND] good [AND] blushing [IMPLY] sleepy [PERIOD]
broad-minded [AND] careless [IMPLY] aggressive [PERIOD]
impatient [AND] dishonest [IMPLY] stupid [PERIOD]
comfortable [IMPLY] aggressive [PERIOD]
unpleasant [AND] quaint [IMPLY] outrageous [PERIOD]
blushing [AND] popular [IMPLY] dishonest [PERIOD]
blushing [AND] stormy [IMPLY] aggressive [PERIOD]
reserved [IMPLY] impatient [PERIOD]
talkative [AND] stupid [AND] impatient [IMPLY] proud [PERIOD]
impatient [IMPLY] scared [PERIOD]
dishonest [AND] quaint [IMPLY] exuberant [PERIOD]
sincere [AND] cruel [IMPLY] blushing [PERIOD]
impatient [AND] aggressive [AND] comfortable [IMPLY] quaint [PERIOD]
sleepy [AND] excited [IMPLY] exuberant [PERIOD]
stormy [AND] excited [IMPLY] zealous [PERIOD]
courageous [AND] dishonest [AND] careless [IMPLY] impatient [PERIOD]
zealous [AND] quaint [IMPLY] talkative [PERIOD]
outrageous [AND] excited [AND] comfortable [IMPLY] stormy [PERIOD]
zealous [AND] good [AND] unpleasant [IMPLY] frantic [PERIOD]
jittery [AND] sincere [IMPLY] reserved [PERIOD]
exuberant [AND] popular [AND] talkative [IMPLY] courageous [PERIOD]
talkative [AND] cruel [IMPLY] outrageous [PERIOD]
courageous [IMPLY] unpleasant [PERIOD]
comfortable [AND] quaint [IMPLY] good [PERIOD]
exuberant [AND] blushing [AND] stormy [IMPLY] frantic [PERIOD]
talkative [AND] sincere [IMPLY] dishonest [PERIOD]
comfortable [AND] reserved [IMPLY] quaint [PERIOD]
dishonest [AND] zealous [AND] proud [IMPLY] scared [PERIOD]
broad-minded [AND] comfortable [AND] tender [IMPLY] impatient [PERIOD]
proud [AND] outrageous [AND] cruel [IMPLY] stupid [PERIOD]
cruel [AND] proud [AND] excited [IMPLY] good [PERIOD]
proud [IMPLY] jittery [PERIOD]
cruel [AND] stormy [AND] talkative [IMPLY] quaint [PERIOD]
talkative [AND] comfortable [IMPLY] aggressive [PERIOD]
sincere [IMPLY] unpleasant [PERIOD]
sleepy [AND] tender [AND] popular [IMPLY] stupid [PERIOD]
frantic [AND] excited [AND] stupid [IMPLY] careless [PERIOD]
quaint [IMPLY] impatient [PERIOD]
exuberant [AND] jittery [IMPLY] frantic [PERIOD]
scared [AND] quaint [IMPLY] comfortable [PERIOD]
reserved [AND] popular [IMPLY] unpleasant [PERIOD]
comfortable [AND] quaint [IMPLY] stupid [PERIOD]
frantic [AND] comfortable [IMPLY] courageous [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
   reserved ⇒ impatient
   impatient ⇒ proud
   proud ∧ dishonest ⇒ frantic
   reserved ⇒ impatient
   impatient ⇒ scared
   tender ⇒ outrageous
   frantic ∧ scared ∧ outrageous ⇒ stormy
",1,7
"Facts:  Alice is powerful [PERIOD] Alice is bright [PERIOD] Alice is supportive [PERIOD] Alice is comfortable [PERIOD] Alice is charming [PERIOD] Alice is popular [PERIOD] Alice is ugliest [PERIOD] Alice is hurt [PERIOD] Alice is outstanding [PERIOD]
Rules:
bright [AND] disobedient [IMPLY] ugliest [PERIOD]
talented [AND] powerful [AND] alert [IMPLY] ugliest [PERIOD]
supportive [AND] friendly [IMPLY] bright [PERIOD]
outstanding [AND] charming [AND] stupid [IMPLY] serious [PERIOD]
disobedient [AND] tidy [IMPLY] sensible [PERIOD]
tender [IMPLY] easy [PERIOD]
alert [AND] powerful [IMPLY] supportive [PERIOD]
powerful [AND] talented [AND] alert [IMPLY] serious [PERIOD]
tender [AND] ugliest [AND] easy [IMPLY] powerful [PERIOD]
alert [AND] tidy [AND] serious [IMPLY] sensible [PERIOD]
tidy [AND] supportive [AND] stupid [IMPLY] popular [PERIOD]
serious [AND] friendly [IMPLY] tidy [PERIOD]
popular [AND] charming [AND] tidy [IMPLY] powerful [PERIOD]
stupid [IMPLY] supportive [PERIOD]
tense [AND] bright [AND] stupid [IMPLY] popular [PERIOD]
stupid [AND] tense [IMPLY] sensible [PERIOD]
stupid [IMPLY] talented [PERIOD]
serious [IMPLY] hurt [PERIOD]
ugliest [AND] sensible [AND] popular [IMPLY] beautiful [PERIOD]
ugliest [AND] sensible [AND] alert [IMPLY] calm [PERIOD]
bright [IMPLY] tense [PERIOD]
supportive [AND] disobedient [IMPLY] tidy [PERIOD]
serious [IMPLY] ugliest [PERIOD]
talented [IMPLY] charming [PERIOD]
outstanding [AND] hurt [IMPLY] stupid [PERIOD]
powerful [AND] serious [IMPLY] friendly [PERIOD]
talented [IMPLY] tidy [PERIOD]
alert [IMPLY] tender [PERIOD]
stupid [AND] comfortable [AND] calm [IMPLY] charming [PERIOD]
ugliest [IMPLY] tense [PERIOD]
supportive [AND] alert [AND] easy [IMPLY] bright [PERIOD]
disobedient [AND] sensible [IMPLY] stupid [PERIOD]
stupid [AND] calm [AND] disobedient [IMPLY] outstanding [PERIOD]
tense [IMPLY] talented [PERIOD]
bright [AND] outstanding [AND] calm [IMPLY] serious [PERIOD]
disobedient [AND] hurt [IMPLY] beautiful [PERIOD]
outstanding [IMPLY] tense [PERIOD]
hurt [IMPLY] powerful [PERIOD]
friendly [AND] talented [IMPLY] stupid [PERIOD]
tense [AND] popular [AND] comfortable [IMPLY] disobedient [PERIOD]
charming [AND] supportive [IMPLY] disobedient [PERIOD]
sensible [IMPLY] calm [PERIOD]
charming [AND] tender [IMPLY] ugliest [PERIOD]
calm [IMPLY] stupid [PERIOD]
sensible [IMPLY] easy [PERIOD]
Query: Alice is easy [PERIOD]","Proof chain:
   outstanding ∧ hurt ⇒ stupid
   bright ⇒ tense
   stupid ∧ tense ⇒ sensible
   sensible ⇒ easy
",1,4
"Facts:  Alice is naughty [PERIOD] Alice is bossy [PERIOD] Alice is thoughtful [PERIOD] Alice is worried [PERIOD] Alice is unpleasant [PERIOD] Alice is worrisome [PERIOD] Alice is blushing [PERIOD] Alice is distinct [PERIOD] Alice is frail [PERIOD] Alice is fine [PERIOD] Alice is hypocritical [PERIOD] Alice is smart [PERIOD] Alice is excited [PERIOD] Alice is fearless [PERIOD] Alice is disobedient [PERIOD]
Rules:
excited [AND] distinct [IMPLY] hypocritical [PERIOD]
distinct [AND] worried [AND] bossy [IMPLY] worrisome [PERIOD]
distinct [IMPLY] clean [PERIOD]
disobedient [IMPLY] attractive [PERIOD]
hypocritical [AND] worrisome [IMPLY] excited [PERIOD]
thoughtful [AND] excited [IMPLY] helpless [PERIOD]
helpless [IMPLY] clean [PERIOD]
distinct [IMPLY] excited [PERIOD]
worried [AND] thoughtful [IMPLY] hypocritical [PERIOD]
naughty [AND] bossy [IMPLY] attractive [PERIOD]
clean [AND] disobedient [AND] frail [IMPLY] worried [PERIOD]
unpleasant [AND] frail [AND] worried [IMPLY] clean [PERIOD]
fearless [AND] unpleasant [AND] frail [IMPLY] thoughtful [PERIOD]
naughty [IMPLY] worrisome [PERIOD]
fearless [AND] distinct [AND] helpless [IMPLY] naughty [PERIOD]
fine [AND] fearless [IMPLY] clean [PERIOD]
attractive [IMPLY] blushing [PERIOD]
distinct [IMPLY] fine [PERIOD]
fine [AND] supportive [IMPLY] blushing [PERIOD]
blushing [IMPLY] supportive [PERIOD]
thoughtful [IMPLY] frail [PERIOD]
thoughtful [AND] fearless [IMPLY] unpleasant [PERIOD]
blushing [AND] clean [AND] bossy [IMPLY] helpless [PERIOD]
hypocritical [AND] naughty [AND] excited [IMPLY] supportive [PERIOD]
fearless [AND] excited [IMPLY] smart [PERIOD]
distinct [IMPLY] worrisome [PERIOD]
excited [IMPLY] supportive [PERIOD]
hypocritical [IMPLY] frail [PERIOD]
disobedient [AND] frail [IMPLY] unpleasant [PERIOD]
attractive [AND] fine [AND] hypocritical [IMPLY] frail [PERIOD]
fearless [AND] supportive [IMPLY] smart [PERIOD]
frail [IMPLY] naughty [PERIOD]
fearless [IMPLY] bossy [PERIOD]
excited [AND] smart [AND] worrisome [IMPLY] fearless [PERIOD]
clean [IMPLY] attractive [PERIOD]
bossy [AND] blushing [AND] disobedient [IMPLY] frail [PERIOD]
attractive [AND] unpleasant [AND] fine [IMPLY] worrisome [PERIOD]
worrisome [IMPLY] disobedient [PERIOD]
frail [AND] smart [AND] thoughtful [IMPLY] bossy [PERIOD]
naughty [AND] hypocritical [IMPLY] unpleasant [PERIOD]
hypocritical [AND] fine [IMPLY] helpless [PERIOD]
unpleasant [AND] clean [AND] smart [IMPLY] bossy [PERIOD]
smart [AND] bossy [IMPLY] clean [PERIOD]
bossy [AND] clean [IMPLY] supportive [PERIOD]
thoughtful [IMPLY] worrisome [PERIOD]
fearless [AND] bossy [AND] disobedient [IMPLY] attractive [PERIOD]
supportive [IMPLY] attractive [PERIOD]
smart [AND] fine [IMPLY] helpless [PERIOD]
fearless [IMPLY] distinct [PERIOD]
attractive [AND] smart [AND] blushing [IMPLY] fine [PERIOD]
attractive [AND] clean [AND] worried [IMPLY] naughty [PERIOD]
fine [AND] unpleasant [AND] worrisome [IMPLY] supportive [PERIOD]
disobedient [IMPLY] supportive [PERIOD]
blushing [IMPLY] fearless [PERIOD]
fine [AND] frail [IMPLY] worried [PERIOD]
blushing [AND] supportive [AND] hypocritical [IMPLY] disobedient [PERIOD]
naughty [AND] bossy [AND] distinct [IMPLY] thoughtful [PERIOD]
blushing [AND] hypocritical [AND] clean [IMPLY] thoughtful [PERIOD]
naughty [AND] attractive [AND] disobedient [IMPLY] hypocritical [PERIOD]
thoughtful [IMPLY] fearless [PERIOD]
excited [AND] hypocritical [AND] blushing [IMPLY] supportive [PERIOD]
unpleasant [IMPLY] worrisome [PERIOD]
clean [AND] blushing [AND] fearless [IMPLY] naughty [PERIOD]
helpless [AND] attractive [AND] fine [IMPLY] smart [PERIOD]
frail [IMPLY] fine [PERIOD]
Query: Alice is smart [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is bad-tempered [PERIOD] Alice is talkative [PERIOD] Alice is pleasant [PERIOD]
Rules:
pleasant [IMPLY] troubled [PERIOD]
friendly [AND] elated [IMPLY] scared [PERIOD]
elated [IMPLY] cruel [PERIOD]
talkative [IMPLY] intellectual [PERIOD]
troubled [AND] calm [AND] cruel [IMPLY] intellectual [PERIOD]
friendly [AND] beautiful [IMPLY] shiny [PERIOD]
glamorous [AND] beautiful [AND] shiny [IMPLY] cruel [PERIOD]
elated [AND] talkative [IMPLY] scared [PERIOD]
rude [AND] modern [IMPLY] attractive [PERIOD]
elated [IMPLY] bad-tempered [PERIOD]
friendly [AND] dishonest [AND] intellectual [IMPLY] modern [PERIOD]
dishonest [AND] cruel [AND] clumsy [IMPLY] attractive [PERIOD]
bad-tempered [AND] beautiful [IMPLY] rude [PERIOD]
modern [AND] bad-tempered [IMPLY] glamorous [PERIOD]
calm [AND] friendly [IMPLY] glamorous [PERIOD]
troubled [AND] rude [IMPLY] modern [PERIOD]
elated [AND] pleasant [IMPLY] intellectual [PERIOD]
shiny [AND] intellectual [AND] talkative [IMPLY] rude [PERIOD]
clumsy [AND] rude [AND] pleasant [IMPLY] beautiful [PERIOD]
talkative [IMPLY] cruel [PERIOD]
rude [AND] intellectual [AND] pleasant [IMPLY] friendly [PERIOD]
bad-tempered [AND] modern [IMPLY] dishonest [PERIOD]
dishonest [AND] troubled [IMPLY] rude [PERIOD]
elated [AND] bad-tempered [AND] calm [IMPLY] glamorous [PERIOD]
beautiful [IMPLY] talkative [PERIOD]
scared [AND] friendly [IMPLY] cruel [PERIOD]
bad-tempered [IMPLY] rude [PERIOD]
shiny [AND] calm [IMPLY] dishonest [PERIOD]
beautiful [IMPLY] troubled [PERIOD]
clumsy [AND] shiny [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] rude [AND] scared [IMPLY] elated [PERIOD]
intellectual [AND] pleasant [IMPLY] scared [PERIOD]
clumsy [AND] modern [AND] talkative [IMPLY] shiny [PERIOD]
intellectual [AND] cruel [IMPLY] talkative [PERIOD]
modern [IMPLY] talkative [PERIOD]
glamorous [IMPLY] pleasant [PERIOD]
rude [IMPLY] attractive [PERIOD]
bad-tempered [IMPLY] clumsy [PERIOD]
rude [IMPLY] pleasant [PERIOD]
beautiful [AND] pleasant [AND] friendly [IMPLY] scared [PERIOD]
calm [AND] clumsy [IMPLY] dishonest [PERIOD]
shiny [IMPLY] clumsy [PERIOD]
attractive [IMPLY] troubled [PERIOD]
bad-tempered [AND] dishonest [AND] intellectual [IMPLY] talkative [PERIOD]
friendly [AND] shiny [IMPLY] beautiful [PERIOD]
bad-tempered [AND] troubled [AND] clumsy [IMPLY] elated [PERIOD]
bad-tempered [AND] dishonest [AND] pleasant [IMPLY] calm [PERIOD]
calm [IMPLY] glamorous [PERIOD]
Query: Alice is shiny [PERIOD]","Proof chain:
   bad-tempered ⇒ rude
   talkative ⇒ intellectual
   rude ∧ intellectual ∧ pleasant ⇒ friendly
   bad-tempered ⇒ clumsy
   bad-tempered ⇒ rude
   clumsy ∧ rude ∧ pleasant ⇒ beautiful
   friendly ∧ beautiful ⇒ shiny
",1,7
"Facts:  Alice is gorgeous [PERIOD] Alice is bored [PERIOD] Alice is shiny [PERIOD]
Rules:
foolish [AND] curious [IMPLY] homely [PERIOD]
bored [AND] homely [AND] helpless [IMPLY] careless [PERIOD]
curious [IMPLY] shiny [PERIOD]
shiny [AND] foolish [AND] broad-minded [IMPLY] light [PERIOD]
innocent [IMPLY] muddy [PERIOD]
homely [AND] innocent [IMPLY] helpless [PERIOD]
muddy [IMPLY] curious [PERIOD]
broad-minded [AND] bored [AND] foolish [IMPLY] muddy [PERIOD]
muddy [AND] shiny [IMPLY] bored [PERIOD]
curious [IMPLY] homely [PERIOD]
light [AND] homely [AND] curious [IMPLY] gorgeous [PERIOD]
broad-minded [IMPLY] foolish [PERIOD]
homely [AND] curious [IMPLY] bored [PERIOD]
helpless [IMPLY] light [PERIOD]
helpless [AND] gorgeous [AND] bored [IMPLY] curious [PERIOD]
bored [AND] helpless [AND] gorgeous [IMPLY] light [PERIOD]
broad-minded [AND] light [IMPLY] bored [PERIOD]
helpless [IMPLY] bored [PERIOD]
bored [AND] curious [AND] gorgeous [IMPLY] homely [PERIOD]
muddy [AND] shiny [AND] light [IMPLY] gorgeous [PERIOD]
Query: Alice is innocent [PERIOD]","Proof chain:
   No rule concludes “innocent.”
",0,1
"Facts:  Alice is glamorous [PERIOD] Alice is joyous [PERIOD] Alice is jittery [PERIOD]
Rules:
thoughtful [AND] lucky [AND] vivacious [IMPLY] diplomatic [PERIOD]
jittery [IMPLY] cute [PERIOD]
troubled [AND] vivacious [IMPLY] lucky [PERIOD]
joyous [IMPLY] wandering [PERIOD]
calm [IMPLY] stupid [PERIOD]
thoughtful [AND] sensible [AND] joyous [IMPLY] helpful [PERIOD]
bright [IMPLY] good [PERIOD]
sensible [IMPLY] cute [PERIOD]
helpful [AND] stubborn [AND] careless [IMPLY] lucky [PERIOD]
wide-eyed [IMPLY] stubborn [PERIOD]
good [AND] helpful [AND] modern [IMPLY] diplomatic [PERIOD]
thoughtful [AND] joyous [AND] sensible [IMPLY] calm [PERIOD]
calm [AND] helpful [AND] bored [IMPLY] jittery [PERIOD]
jittery [AND] thoughtful [IMPLY] bored [PERIOD]
wandering [AND] helpful [IMPLY] troubled [PERIOD]
cute [AND] glamorous [AND] sensible [IMPLY] vivacious [PERIOD]
bored [AND] thoughtful [IMPLY] careless [PERIOD]
glamorous [AND] calm [IMPLY] diplomatic [PERIOD]
stubborn [IMPLY] helpful [PERIOD]
bright [AND] bored [AND] good [IMPLY] troubled [PERIOD]
jittery [IMPLY] stubborn [PERIOD]
good [IMPLY] bright [PERIOD]
stupid [AND] sensible [AND] cute [IMPLY] glamorous [PERIOD]
thoughtful [AND] wandering [IMPLY] bored [PERIOD]
jittery [AND] bored [AND] good [IMPLY] glamorous [PERIOD]
joyous [AND] diplomatic [AND] lucky [IMPLY] thoughtful [PERIOD]
jittery [IMPLY] stupid [PERIOD]
stubborn [AND] wandering [AND] modern [IMPLY] careless [PERIOD]
helpful [AND] bright [AND] stubborn [IMPLY] bored [PERIOD]
modern [AND] bored [IMPLY] jittery [PERIOD]
jittery [AND] glamorous [AND] stubborn [IMPLY] helpful [PERIOD]
diplomatic [IMPLY] good [PERIOD]
lucky [AND] wide-eyed [AND] helpful [IMPLY] glamorous [PERIOD]
calm [AND] good [IMPLY] wide-eyed [PERIOD]
vivacious [IMPLY] helpful [PERIOD]
stupid [IMPLY] vivacious [PERIOD]
wide-eyed [AND] jittery [IMPLY] stubborn [PERIOD]
wide-eyed [AND] thoughtful [AND] cute [IMPLY] lucky [PERIOD]
wide-eyed [AND] wandering [AND] vivacious [IMPLY] modern [PERIOD]
stubborn [AND] careless [IMPLY] bright [PERIOD]
wandering [IMPLY] glamorous [PERIOD]
sensible [AND] joyous [IMPLY] diplomatic [PERIOD]
joyous [IMPLY] cute [PERIOD]
sensible [AND] careless [IMPLY] modern [PERIOD]
stubborn [IMPLY] modern [PERIOD]
troubled [AND] helpful [IMPLY] modern [PERIOD]
lucky [AND] sensible [AND] diplomatic [IMPLY] vivacious [PERIOD]
joyous [AND] careless [AND] vivacious [IMPLY] helpful [PERIOD]
good [IMPLY] troubled [PERIOD]
modern [AND] sensible [IMPLY] stupid [PERIOD]
cute [IMPLY] jittery [PERIOD]
thoughtful [AND] bright [IMPLY] troubled [PERIOD]
wandering [IMPLY] troubled [PERIOD]
good [AND] careless [IMPLY] troubled [PERIOD]
wide-eyed [AND] stubborn [IMPLY] vivacious [PERIOD]
bored [AND] stubborn [AND] wandering [IMPLY] stupid [PERIOD]
vivacious [IMPLY] stupid [PERIOD]
wide-eyed [AND] glamorous [IMPLY] sensible [PERIOD]
bright [AND] bored [IMPLY] sensible [PERIOD]
careless [IMPLY] sensible [PERIOD]
sensible [AND] joyous [IMPLY] lucky [PERIOD]
modern [IMPLY] stubborn [PERIOD]
lucky [AND] cute [IMPLY] careless [PERIOD]
wandering [AND] thoughtful [AND] stubborn [IMPLY] calm [PERIOD]
joyous [IMPLY] thoughtful [PERIOD]
stupid [AND] bored [AND] diplomatic [IMPLY] careless [PERIOD]
cute [AND] troubled [AND] thoughtful [IMPLY] sensible [PERIOD]
wide-eyed [AND] glamorous [AND] joyous [IMPLY] careless [PERIOD]
wandering [AND] good [AND] vivacious [IMPLY] stubborn [PERIOD]
lucky [IMPLY] jittery [PERIOD]
modern [AND] calm [IMPLY] stupid [PERIOD]
modern [AND] bored [AND] wide-eyed [IMPLY] good [PERIOD]
Query: Alice is bright [PERIOD]","Proof chain:
   jittery ⇒ stubborn
   joyous ⇒ thoughtful
   jittery ∧ thoughtful ⇒ bored
   joyous ⇒ thoughtful
   bored ∧ thoughtful ⇒ careless
   stubborn ∧ careless ⇒ bright
",1,6
"Facts:  Alice is aggressive [PERIOD] Alice is alert [PERIOD]
Rules:
loving [AND] fancy [IMPLY] clumsy [PERIOD]
clumsy [AND] different [IMPLY] sincere [PERIOD]
sincere [AND] different [IMPLY] loving [PERIOD]
fancy [IMPLY] different [PERIOD]
clumsy [IMPLY] aggressive [PERIOD]
alert [AND] aggressive [IMPLY] sincere [PERIOD]
different [AND] alert [IMPLY] fancy [PERIOD]
loving [IMPLY] sincere [PERIOD]
alert [AND] clumsy [IMPLY] sincere [PERIOD]
clumsy [IMPLY] loving [PERIOD]
clumsy [AND] sincere [AND] fancy [IMPLY] aggressive [PERIOD]
aggressive [AND] fancy [AND] different [IMPLY] disgusted [PERIOD]
aggressive [AND] loving [AND] sincere [IMPLY] fancy [PERIOD]
different [AND] clumsy [IMPLY] alert [PERIOD]
different [IMPLY] loving [PERIOD]
clumsy [AND] different [AND] loving [IMPLY] disgusted [PERIOD]
alert [AND] different [AND] loving [IMPLY] aggressive [PERIOD]
aggressive [AND] disgusted [AND] clumsy [IMPLY] different [PERIOD]
sincere [AND] alert [IMPLY] loving [PERIOD]
fancy [AND] sincere [AND] aggressive [IMPLY] different [PERIOD]
disgusted [AND] clumsy [IMPLY] alert [PERIOD]
clumsy [IMPLY] alert [PERIOD]
different [IMPLY] alert [PERIOD]
different [AND] aggressive [AND] disgusted [IMPLY] fancy [PERIOD]
Query: Alice is fancy [PERIOD]","Proof chain:
   alert ∧ aggressive ⇒ sincere
   sincere ∧ alert ⇒ loving
   alert ∧ aggressive ⇒ sincere
   aggressive ∧ loving ∧ sincere ⇒ fancy
",1,4
"Facts:  Alice is stupid [PERIOD] Alice is different [PERIOD] Alice is bad-tempered [PERIOD] Alice is ugliest [PERIOD]
Rules:
stupid [AND] bad-tempered [AND] smart [IMPLY] charming [PERIOD]
charming [AND] attentive [AND] stupid [IMPLY] bad-tempered [PERIOD]
different [AND] ugliest [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] charming [AND] ugliest [IMPLY] stupid [PERIOD]
attentive [AND] bad-tempered [IMPLY] quaint [PERIOD]
bad-tempered [IMPLY] attentive [PERIOD]
stupid [AND] charming [AND] bad-tempered [IMPLY] different [PERIOD]
charming [AND] smart [IMPLY] quaint [PERIOD]
quaint [AND] different [IMPLY] smart [PERIOD]
attentive [AND] bad-tempered [AND] quaint [IMPLY] different [PERIOD]
different [AND] stupid [AND] smart [IMPLY] bad-tempered [PERIOD]
attentive [AND] smart [IMPLY] charming [PERIOD]
different [AND] smart [IMPLY] stupid [PERIOD]
attentive [AND] bad-tempered [IMPLY] stupid [PERIOD]
bad-tempered [AND] attentive [IMPLY] smart [PERIOD]
different [IMPLY] ugliest [PERIOD]
stupid [AND] smart [AND] charming [IMPLY] quaint [PERIOD]
stupid [AND] attentive [IMPLY] ugliest [PERIOD]
Query: Alice is ugliest [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is wandering [PERIOD]
Rules:
alert [AND] frantic [IMPLY] reserved [PERIOD]
scared [AND] frantic [AND] troubled [IMPLY] reserved [PERIOD]
condemned [AND] frantic [AND] hypocritical [IMPLY] alert [PERIOD]
alert [AND] scared [IMPLY] wandering [PERIOD]
troubled [AND] hypocritical [IMPLY] scared [PERIOD]
frantic [AND] condemned [IMPLY] troubled [PERIOD]
cute [AND] wandering [IMPLY] scared [PERIOD]
wandering [IMPLY] condemned [PERIOD]
scared [IMPLY] frantic [PERIOD]
condemned [AND] scared [AND] cute [IMPLY] alert [PERIOD]
alert [AND] frantic [IMPLY] scared [PERIOD]
wandering [AND] troubled [AND] cute [IMPLY] condemned [PERIOD]
wandering [AND] scared [IMPLY] hypocritical [PERIOD]
troubled [AND] alert [AND] reserved [IMPLY] cute [PERIOD]
troubled [AND] condemned [IMPLY] alert [PERIOD]
alert [IMPLY] frantic [PERIOD]
hypocritical [AND] cute [AND] condemned [IMPLY] scared [PERIOD]
reserved [IMPLY] troubled [PERIOD]
reserved [IMPLY] hypocritical [PERIOD]
wandering [AND] hypocritical [IMPLY] reserved [PERIOD]
scared [AND] condemned [AND] troubled [IMPLY] wandering [PERIOD]
cute [AND] frantic [AND] alert [IMPLY] troubled [PERIOD]
reserved [AND] alert [AND] wandering [IMPLY] hypocritical [PERIOD]
hypocritical [AND] wandering [AND] frantic [IMPLY] scared [PERIOD]
hypocritical [AND] cute [AND] troubled [IMPLY] frantic [PERIOD]
troubled [AND] alert [AND] condemned [IMPLY] hypocritical [PERIOD]
troubled [AND] scared [AND] wandering [IMPLY] hypocritical [PERIOD]
troubled [IMPLY] alert [PERIOD]
Query: Alice is hypocritical [PERIOD]","Proof chain:
   Cannot apply rule “wandering ∧ scared ⇒ hypocritical” because missing: scared.
   Cannot apply rule “reserved ⇒ hypocritical” because missing: reserved.
   Cannot apply rule “reserved ∧ alert ∧ wandering ⇒ hypocritical” because missing: reserved, alert.
   wandering ⇒ condemned
   Cannot apply rule “troubled ∧ alert ∧ condemned ⇒ hypocritical” because missing: troubled, alert.
   Cannot apply rule “troubled ∧ scared ∧ wandering ⇒ hypocritical” because missing: troubled, scared.
",0,6
"Facts: 
Rules:
mean [AND] calm [AND] straightforward [IMPLY] exuberant [PERIOD]
fine [AND] straightforward [IMPLY] easy [PERIOD]
blushing [AND] zealous [AND] excited [IMPLY] straightforward [PERIOD]
dull [AND] easy [IMPLY] calm [PERIOD]
zealous [AND] homely [IMPLY] lucky [PERIOD]
straightforward [AND] exuberant [AND] calm [IMPLY] fine [PERIOD]
blushing [AND] dull [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] dull [PERIOD]
blushing [IMPLY] dull [PERIOD]
dull [AND] straightforward [IMPLY] excited [PERIOD]
mean [AND] homely [AND] fine [IMPLY] calm [PERIOD]
excited [IMPLY] bad-tempered [PERIOD]
easy [AND] bad-tempered [IMPLY] lucky [PERIOD]
fine [AND] zealous [AND] exuberant [IMPLY] blushing [PERIOD]
homely [IMPLY] talkative [PERIOD]
fine [AND] zealous [IMPLY] dull [PERIOD]
mean [AND] easy [IMPLY] zealous [PERIOD]
dull [AND] calm [AND] mean [IMPLY] blushing [PERIOD]
straightforward [IMPLY] calm [PERIOD]
dull [IMPLY] excited [PERIOD]
homely [AND] exuberant [IMPLY] dull [PERIOD]
talkative [AND] calm [AND] excited [IMPLY] exuberant [PERIOD]
mean [AND] straightforward [AND] fine [IMPLY] bad-tempered [PERIOD]
zealous [AND] excited [AND] easy [IMPLY] dull [PERIOD]
zealous [IMPLY] easy [PERIOD]
calm [AND] straightforward [AND] fine [IMPLY] excited [PERIOD]
talkative [AND] lucky [IMPLY] easy [PERIOD]
blushing [AND] homely [AND] calm [IMPLY] straightforward [PERIOD]
mean [AND] fine [IMPLY] bad-tempered [PERIOD]
mean [AND] dull [IMPLY] zealous [PERIOD]
blushing [AND] zealous [IMPLY] calm [PERIOD]
dull [AND] straightforward [AND] excited [IMPLY] fine [PERIOD]
bad-tempered [AND] dull [IMPLY] blushing [PERIOD]
excited [IMPLY] homely [PERIOD]
lucky [IMPLY] homely [PERIOD]
straightforward [AND] lucky [IMPLY] calm [PERIOD]
excited [AND] homely [IMPLY] dull [PERIOD]
excited [AND] easy [IMPLY] talkative [PERIOD]
excited [AND] lucky [AND] zealous [IMPLY] straightforward [PERIOD]
zealous [AND] excited [AND] homely [IMPLY] mean [PERIOD]
talkative [IMPLY] bad-tempered [PERIOD]
straightforward [IMPLY] lucky [PERIOD]
mean [AND] talkative [IMPLY] lucky [PERIOD]
Query: Alice is dull [PERIOD]","Proof chain:
   Cannot apply rule “exuberant ⇒ dull” because missing: exuberant.
   Cannot apply rule “blushing ⇒ dull” because missing: blushing.
   Cannot apply rule “fine ∧ zealous ⇒ dull” because missing: fine, zealous.
   Cannot apply rule “homely ∧ exuberant ⇒ dull” because missing: homely, exuberant.
   Cannot apply rule “zealous ∧ excited ∧ easy ⇒ dull” because missing: zealous, excited, easy.
   Cannot apply rule “excited ∧ homely ⇒ dull” because missing: excited, homely.
",0,6
"Facts:  Alice is reserved [PERIOD] Alice is rude [PERIOD] Alice is tender [PERIOD]
Rules:
reserved [IMPLY] rude [PERIOD]
average [AND] reserved [AND] rude [IMPLY] bored [PERIOD]
bored [IMPLY] inquisitive [PERIOD]
reserved [IMPLY] modern [PERIOD]
bored [AND] modern [AND] inquisitive [IMPLY] bossy [PERIOD]
Query: Alice is average [PERIOD]","Proof chain:
   No rule concludes “average.”
",0,1
"Facts:  Alice is friendly [PERIOD]
Rules:
intellectual [AND] curious [AND] pessimistic [IMPLY] agreeable [PERIOD]
comfortable [AND] friendly [IMPLY] curious [PERIOD]
agreeable [IMPLY] gleaming [PERIOD]
attentive [AND] agreeable [IMPLY] curious [PERIOD]
tame [IMPLY] friendly [PERIOD]
attentive [IMPLY] pessimistic [PERIOD]
intellectual [IMPLY] agreeable [PERIOD]
curious [AND] friendly [AND] easy [IMPLY] agreeable [PERIOD]
talented [AND] pessimistic [IMPLY] comfortable [PERIOD]
tame [AND] easy [AND] attentive [IMPLY] confused [PERIOD]
friendly [IMPLY] joyous [PERIOD]
intellectual [AND] gleaming [IMPLY] talented [PERIOD]
confused [AND] joyous [IMPLY] tame [PERIOD]
agreeable [IMPLY] joyous [PERIOD]
attentive [AND] inquisitive [AND] confused [IMPLY] gleaming [PERIOD]
curious [IMPLY] gleaming [PERIOD]
joyous [AND] comfortable [IMPLY] agreeable [PERIOD]
attentive [AND] agreeable [IMPLY] tame [PERIOD]
curious [AND] pessimistic [IMPLY] comfortable [PERIOD]
confused [IMPLY] tame [PERIOD]
comfortable [AND] talented [IMPLY] gleaming [PERIOD]
confused [AND] attentive [AND] friendly [IMPLY] talented [PERIOD]
talented [AND] gleaming [IMPLY] agreeable [PERIOD]
intellectual [IMPLY] confused [PERIOD]
pessimistic [IMPLY] curious [PERIOD]
comfortable [AND] curious [IMPLY] easy [PERIOD]
confused [AND] joyous [IMPLY] friendly [PERIOD]
pessimistic [AND] agreeable [AND] confused [IMPLY] easy [PERIOD]
gleaming [IMPLY] agreeable [PERIOD]
gleaming [AND] curious [IMPLY] talented [PERIOD]
easy [AND] attentive [AND] confused [IMPLY] comfortable [PERIOD]
easy [AND] inquisitive [IMPLY] confused [PERIOD]
easy [IMPLY] tame [PERIOD]
joyous [AND] pessimistic [AND] tame [IMPLY] curious [PERIOD]
friendly [AND] inquisitive [IMPLY] attentive [PERIOD]
attentive [AND] talented [AND] tame [IMPLY] curious [PERIOD]
confused [AND] comfortable [AND] attentive [IMPLY] agreeable [PERIOD]
easy [AND] joyous [IMPLY] attentive [PERIOD]
gleaming [AND] agreeable [AND] confused [IMPLY] comfortable [PERIOD]
gleaming [AND] intellectual [AND] easy [IMPLY] confused [PERIOD]
pessimistic [IMPLY] gleaming [PERIOD]
inquisitive [IMPLY] gleaming [PERIOD]
comfortable [IMPLY] curious [PERIOD]
Query: Alice is gleaming [PERIOD]","Proof chain:
   Cannot apply rule “agreeable ⇒ gleaming” because missing: agreeable.
   Cannot apply rule “attentive ∧ inquisitive ∧ confused ⇒ gleaming” because missing: attentive, inquisitive, confused.
   Cannot apply rule “curious ⇒ gleaming” because missing: curious.
   Cannot apply rule “comfortable ∧ talented ⇒ gleaming” because missing: comfortable, talented.
   Cannot apply rule “pessimistic ⇒ gleaming” because missing: pessimistic.
   Cannot apply rule “inquisitive ⇒ gleaming” because missing: inquisitive.
",0,6
"Facts:  Alice is intellectual [PERIOD] Alice is friendly [PERIOD] Alice is wandering [PERIOD] Alice is worrisome [PERIOD] Alice is homely [PERIOD] Alice is thoughtful [PERIOD] Alice is tender [PERIOD] Alice is frightened [PERIOD] Alice is cute [PERIOD] Alice is bright [PERIOD] Alice is sensible [PERIOD] Alice is inquisitive [PERIOD] Alice is dull [PERIOD] Alice is proud [PERIOD] Alice is popular [PERIOD] Alice is scared [PERIOD] Alice is sleepy [PERIOD]
Rules:
wandering [AND] frightened [AND] scared [IMPLY] straightforward [PERIOD]
sleepy [IMPLY] straightforward [PERIOD]
sleepy [IMPLY] bright [PERIOD]
inquisitive [IMPLY] worrisome [PERIOD]
intellectual [IMPLY] wandering [PERIOD]
thoughtful [IMPLY] charming [PERIOD]
cute [AND] charming [AND] sensible [IMPLY] friendly [PERIOD]
friendly [IMPLY] reserved [PERIOD]
thoughtful [AND] sensible [IMPLY] courageous [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   thoughtful ∧ sensible ⇒ courageous
",1,1
"Facts:  Alice is adorable [PERIOD] Alice is friendly [PERIOD]
Rules:
adorable [AND] jittery [IMPLY] outstanding [PERIOD]
friendly [AND] messy [AND] gorgeous [IMPLY] worried [PERIOD]
disgusted [AND] friendly [AND] adorable [IMPLY] gorgeous [PERIOD]
serious [AND] proud [AND] attentive [IMPLY] adorable [PERIOD]
adorable [AND] disgusted [IMPLY] worried [PERIOD]
pleasant [IMPLY] jittery [PERIOD]
proud [AND] friendly [AND] messy [IMPLY] pleasant [PERIOD]
adorable [AND] disgusted [AND] gorgeous [IMPLY] attentive [PERIOD]
proud [IMPLY] joyous [PERIOD]
clumsy [AND] jittery [IMPLY] gorgeous [PERIOD]
hilarious [AND] messy [IMPLY] sincere [PERIOD]
proud [IMPLY] adorable [PERIOD]
gorgeous [AND] worried [IMPLY] proud [PERIOD]
clumsy [AND] sincere [AND] disgusted [IMPLY] hilarious [PERIOD]
disgusted [IMPLY] worried [PERIOD]
clumsy [AND] worried [AND] messy [IMPLY] sincere [PERIOD]
messy [AND] clumsy [AND] joyous [IMPLY] jittery [PERIOD]
pleasant [AND] outstanding [AND] sincere [IMPLY] clumsy [PERIOD]
adorable [AND] clumsy [IMPLY] jittery [PERIOD]
attentive [AND] outstanding [AND] sincere [IMPLY] joyous [PERIOD]
worried [AND] gorgeous [IMPLY] outstanding [PERIOD]
pleasant [AND] attentive [AND] clumsy [IMPLY] serious [PERIOD]
gorgeous [AND] adorable [IMPLY] hilarious [PERIOD]
pleasant [AND] attentive [IMPLY] hilarious [PERIOD]
worried [IMPLY] disgusted [PERIOD]
hilarious [AND] pleasant [IMPLY] joyous [PERIOD]
clumsy [IMPLY] pleasant [PERIOD]
clumsy [AND] gorgeous [IMPLY] serious [PERIOD]
joyous [IMPLY] outstanding [PERIOD]
friendly [AND] hilarious [IMPLY] joyous [PERIOD]
adorable [AND] attentive [IMPLY] proud [PERIOD]
messy [IMPLY] outstanding [PERIOD]
attentive [AND] adorable [AND] disgusted [IMPLY] sincere [PERIOD]
sincere [IMPLY] proud [PERIOD]
messy [IMPLY] hilarious [PERIOD]
sincere [AND] worried [AND] friendly [IMPLY] serious [PERIOD]
hilarious [IMPLY] disgusted [PERIOD]
adorable [IMPLY] outstanding [PERIOD]
jittery [IMPLY] pleasant [PERIOD]
outstanding [AND] joyous [IMPLY] friendly [PERIOD]
joyous [AND] friendly [AND] gorgeous [IMPLY] adorable [PERIOD]
joyous [AND] attentive [AND] sincere [IMPLY] adorable [PERIOD]
pleasant [AND] attentive [AND] adorable [IMPLY] clumsy [PERIOD]
gorgeous [AND] disgusted [AND] outstanding [IMPLY] clumsy [PERIOD]
outstanding [AND] pleasant [IMPLY] sincere [PERIOD]
attentive [AND] sincere [AND] proud [IMPLY] adorable [PERIOD]
proud [AND] worried [IMPLY] adorable [PERIOD]
jittery [AND] proud [AND] friendly [IMPLY] adorable [PERIOD]
gorgeous [AND] serious [IMPLY] jittery [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   Cannot apply rule “pleasant ∧ attentive ∧ clumsy ⇒ serious” because missing: pleasant, attentive, clumsy.
   Cannot apply rule “clumsy ∧ gorgeous ⇒ serious” because missing: clumsy, gorgeous.
   Cannot apply rule “sincere ∧ worried ∧ friendly ⇒ serious” because missing: sincere, worried.
",0,3
"Facts: 
Rules:
cute [AND] modern [AND] enchanting [IMPLY] charming [PERIOD]
worrisome [AND] bored [AND] modern [IMPLY] strange [PERIOD]
charming [IMPLY] confused [PERIOD]
amused [AND] confused [IMPLY] attentive [PERIOD]
victorious [AND] amused [AND] worrisome [IMPLY] charming [PERIOD]
amused [AND] modern [IMPLY] frightened [PERIOD]
cute [AND] comfortable [AND] charming [IMPLY] strange [PERIOD]
attentive [AND] bored [IMPLY] cruel [PERIOD]
amused [AND] bored [AND] modern [IMPLY] victorious [PERIOD]
strange [AND] enchanting [AND] amused [IMPLY] charming [PERIOD]
charming [IMPLY] worrisome [PERIOD]
comfortable [AND] enchanting [AND] cruel [IMPLY] strange [PERIOD]
amused [AND] modern [IMPLY] cruel [PERIOD]
cruel [AND] strange [IMPLY] worrisome [PERIOD]
attentive [IMPLY] confused [PERIOD]
amused [IMPLY] attentive [PERIOD]
comfortable [IMPLY] attentive [PERIOD]
amused [AND] cute [AND] confused [IMPLY] worrisome [PERIOD]
amused [IMPLY] victorious [PERIOD]
strange [AND] cruel [IMPLY] charming [PERIOD]
attentive [AND] bored [IMPLY] confused [PERIOD]
comfortable [AND] charming [IMPLY] cute [PERIOD]
Query: Alice is worrisome [PERIOD]","Proof chain:
   Cannot apply rule “charming ⇒ worrisome” because missing: charming.
   Cannot apply rule “cruel ∧ strange ⇒ worrisome” because missing: cruel, strange.
   Cannot apply rule “amused ∧ cute ∧ confused ⇒ worrisome” because missing: amused, cute, confused.
",0,3
"Facts:  Alice is zealous [PERIOD] Alice is tidy [PERIOD] Alice is light [PERIOD] Alice is bossy [PERIOD]
Rules:
cute [IMPLY] sensible [PERIOD]
amused [AND] blushing [IMPLY] diplomatic [PERIOD]
plain [IMPLY] scared [PERIOD]
innocent [IMPLY] light [PERIOD]
attractive [IMPLY] distinct [PERIOD]
difficult [AND] mean [AND] sensible [IMPLY] diplomatic [PERIOD]
lonely [AND] diplomatic [AND] attractive [IMPLY] distinct [PERIOD]
tender [IMPLY] condemned [PERIOD]
condemned [IMPLY] tidy [PERIOD]
condemned [AND] courageous [IMPLY] diplomatic [PERIOD]
plain [AND] cute [AND] innocent [IMPLY] shiny [PERIOD]
diplomatic [IMPLY] shiny [PERIOD]
tender [IMPLY] sensible [PERIOD]
light [AND] lonely [IMPLY] bossy [PERIOD]
difficult [AND] quaint [AND] plain [IMPLY] ugly [PERIOD]
distinct [AND] fearless [IMPLY] shiny [PERIOD]
helpless [AND] bossy [IMPLY] shiny [PERIOD]
light [IMPLY] tidy [PERIOD]
blushing [AND] tidy [AND] tender [IMPLY] innocent [PERIOD]
mean [AND] innocent [AND] condemned [IMPLY] stupid [PERIOD]
ugly [AND] blushing [IMPLY] impatient [PERIOD]
cute [IMPLY] lonely [PERIOD]
amused [IMPLY] bossy [PERIOD]
light [AND] tender [IMPLY] zealous [PERIOD]
amused [IMPLY] difficult [PERIOD]
diplomatic [AND] cute [AND] courageous [IMPLY] helpless [PERIOD]
tender [AND] attractive [IMPLY] condemned [PERIOD]
innocent [AND] mean [IMPLY] attractive [PERIOD]
blushing [AND] impatient [AND] innocent [IMPLY] scared [PERIOD]
mean [IMPLY] difficult [PERIOD]
sensible [AND] diplomatic [AND] tidy [IMPLY] difficult [PERIOD]
bossy [IMPLY] innocent [PERIOD]
sensible [IMPLY] blushing [PERIOD]
courageous [AND] lonely [AND] light [IMPLY] quaint [PERIOD]
shiny [AND] fearless [IMPLY] tender [PERIOD]
thoughtful [AND] distinct [IMPLY] shiny [PERIOD]
diplomatic [AND] shiny [IMPLY] zealous [PERIOD]
difficult [IMPLY] scared [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   Cannot apply rule “amused ⇒ difficult” because missing: amused.
   Cannot apply rule “mean ⇒ difficult” because missing: mean.
   Cannot apply rule “sensible ∧ diplomatic ∧ tidy ⇒ difficult” because missing: sensible, diplomatic.
",0,3
"Facts:  Alice is unpleasant [PERIOD]
Rules:
unpleasant [AND] frantic [AND] clean [IMPLY] stupid [PERIOD]
clean [IMPLY] stupid [PERIOD]
clean [AND] stupid [IMPLY] frantic [PERIOD]
clean [AND] stupid [IMPLY] hypocritical [PERIOD]
hypocritical [AND] clean [AND] lucky [IMPLY] frantic [PERIOD]
lucky [IMPLY] hypocritical [PERIOD]
straightforward [AND] stupid [AND] unpleasant [IMPLY] lucky [PERIOD]
frantic [AND] hypocritical [IMPLY] lucky [PERIOD]
frantic [IMPLY] clean [PERIOD]
straightforward [AND] unpleasant [AND] frantic [IMPLY] stupid [PERIOD]
hypocritical [IMPLY] stupid [PERIOD]
stupid [IMPLY] straightforward [PERIOD]
frantic [AND] unpleasant [IMPLY] hypocritical [PERIOD]
clean [AND] straightforward [AND] stupid [IMPLY] frantic [PERIOD]
frantic [AND] clean [AND] hypocritical [IMPLY] stupid [PERIOD]
hypocritical [IMPLY] clean [PERIOD]
Query: Alice is stupid [PERIOD]","Proof chain:
   Cannot apply rule “unpleasant ∧ frantic ∧ clean ⇒ stupid” because missing: frantic, clean.
   Cannot apply rule “clean ⇒ stupid” because missing: clean.
   Cannot apply rule “straightforward ∧ unpleasant ∧ frantic ⇒ stupid” because missing: straightforward, frantic.
   Cannot apply rule “hypocritical ⇒ stupid” because missing: hypocritical.
   Cannot apply rule “frantic ∧ clean ∧ hypocritical ⇒ stupid” because missing: frantic, clean, hypocritical.
",0,5
"Facts:  Alice is fine [PERIOD] Alice is horrible [PERIOD] Alice is tidy [PERIOD] Alice is confident [PERIOD] Alice is worrisome [PERIOD]
Rules:
frantic [AND] fine [IMPLY] horrible [PERIOD]
busy [AND] bored [IMPLY] uptight [PERIOD]
confident [AND] messy [IMPLY] glamorous [PERIOD]
messy [IMPLY] glamorous [PERIOD]
glamorous [AND] fine [AND] busy [IMPLY] frantic [PERIOD]
bored [AND] loving [AND] frantic [IMPLY] distinct [PERIOD]
loving [AND] tidy [IMPLY] horrible [PERIOD]
straightforward [IMPLY] distinct [PERIOD]
embarrassed [AND] frantic [AND] uptight [IMPLY] busy [PERIOD]
busy [AND] bored [IMPLY] straightforward [PERIOD]
messy [IMPLY] adorable [PERIOD]
difficult [AND] tidy [AND] bored [IMPLY] adorable [PERIOD]
attractive [AND] frantic [AND] uptight [IMPLY] bored [PERIOD]
loving [AND] difficult [IMPLY] uptight [PERIOD]
uptight [AND] adorable [AND] attractive [IMPLY] straightforward [PERIOD]
horrible [AND] glamorous [AND] worrisome [IMPLY] loving [PERIOD]
adorable [IMPLY] frantic [PERIOD]
messy [AND] frantic [AND] uptight [IMPLY] fancy [PERIOD]
frantic [IMPLY] attractive [PERIOD]
uptight [AND] busy [IMPLY] attractive [PERIOD]
embarrassed [AND] straightforward [AND] bored [IMPLY] fine [PERIOD]
glamorous [AND] bad-tempered [IMPLY] worrisome [PERIOD]
frantic [AND] bored [AND] glamorous [IMPLY] fancy [PERIOD]
loving [AND] adorable [AND] busy [IMPLY] difficult [PERIOD]
busy [AND] horrible [AND] frantic [IMPLY] fine [PERIOD]
uptight [AND] messy [IMPLY] embarrassed [PERIOD]
horrible [AND] messy [IMPLY] loving [PERIOD]
worrisome [IMPLY] messy [PERIOD]
tidy [AND] difficult [IMPLY] frantic [PERIOD]
glamorous [IMPLY] frantic [PERIOD]
adorable [IMPLY] messy [PERIOD]
bad-tempered [AND] fancy [IMPLY] busy [PERIOD]
attractive [IMPLY] confident [PERIOD]
adorable [AND] messy [IMPLY] loving [PERIOD]
horrible [AND] glamorous [IMPLY] fancy [PERIOD]
tidy [AND] embarrassed [IMPLY] glamorous [PERIOD]
embarrassed [AND] fine [AND] tidy [IMPLY] uptight [PERIOD]
messy [IMPLY] horrible [PERIOD]
worrisome [AND] fancy [IMPLY] loving [PERIOD]
Query: Alice is difficult [PERIOD]","Proof chain:
   worrisome ⇒ messy
   horrible ∧ messy ⇒ loving
   worrisome ⇒ messy
   messy ⇒ adorable
   Cannot apply rule “loving ∧ adorable ∧ busy ⇒ difficult” because missing: busy.
",0,5
"Facts:  Alice is anxious [PERIOD] Alice is stupid [PERIOD] Alice is jittery [PERIOD] Alice is outstanding [PERIOD]
Rules:
jittery [AND] talented [AND] stupid [IMPLY] rude [PERIOD]
talented [IMPLY] frail [PERIOD]
rude [AND] talented [IMPLY] stupid [PERIOD]
outstanding [AND] talented [IMPLY] frail [PERIOD]
outstanding [IMPLY] stupid [PERIOD]
rude [AND] jittery [IMPLY] talented [PERIOD]
talented [AND] anxious [IMPLY] frail [PERIOD]
stupid [AND] anxious [AND] talented [IMPLY] witty [PERIOD]
Query: Alice is frail [PERIOD]","Proof chain:
   Cannot apply rule “talented ⇒ frail” because missing: talented.
   Cannot apply rule “outstanding ∧ talented ⇒ frail” because missing: talented.
   Cannot apply rule “talented ∧ anxious ⇒ frail” because missing: talented.
",0,3
"Facts:  Alice is wrong [PERIOD]
Rules:
wrong [IMPLY] frantic [PERIOD]
courageous [IMPLY] wandering [PERIOD]
charming [IMPLY] strange [PERIOD]
messy [IMPLY] strange [PERIOD]
bad-tempered [AND] frantic [IMPLY] courageous [PERIOD]
clean [AND] frantic [AND] wandering [IMPLY] elegant [PERIOD]
messy [IMPLY] frantic [PERIOD]
clean [AND] rude [IMPLY] zealous [PERIOD]
wrong [AND] zealous [IMPLY] wandering [PERIOD]
messy [AND] bad-tempered [AND] elegant [IMPLY] wandering [PERIOD]
bad-tempered [IMPLY] tired [PERIOD]
frantic [IMPLY] bad-tempered [PERIOD]
tired [AND] strange [IMPLY] elegant [PERIOD]
zealous [AND] messy [IMPLY] charming [PERIOD]
frantic [AND] elegant [IMPLY] bad-tempered [PERIOD]
bad-tempered [IMPLY] rude [PERIOD]
tired [AND] elegant [AND] rude [IMPLY] wandering [PERIOD]
clean [IMPLY] bad-tempered [PERIOD]
wandering [IMPLY] messy [PERIOD]
frantic [AND] courageous [AND] clean [IMPLY] strange [PERIOD]
bad-tempered [IMPLY] light [PERIOD]
zealous [AND] frantic [AND] strange [IMPLY] courageous [PERIOD]
charming [IMPLY] messy [PERIOD]
wandering [AND] charming [AND] frantic [IMPLY] elegant [PERIOD]
tired [AND] rude [IMPLY] courageous [PERIOD]
tired [AND] messy [AND] zealous [IMPLY] rude [PERIOD]
zealous [IMPLY] strange [PERIOD]
Query: Alice is charming [PERIOD]","Proof chain:
   wrong ⇒ frantic
   frantic ⇒ bad-tempered
   wrong ⇒ frantic
   bad-tempered ∧ frantic ⇒ courageous
   courageous ⇒ wandering
   wandering ⇒ messy
   Cannot apply rule “zealous ∧ messy ⇒ charming” because missing: zealous.
",0,7
"Facts:  Alice is reserved [PERIOD] Alice is perfect [PERIOD] Alice is calm [PERIOD] Alice is old-fashioned [PERIOD] Alice is confident [PERIOD] Alice is excited [PERIOD] Alice is alert [PERIOD]
Rules:
inquisitive [AND] excited [AND] messy [IMPLY] thoughtful [PERIOD]
calm [AND] excited [AND] thoughtful [IMPLY] confident [PERIOD]
messy [AND] calm [AND] hypocritical [IMPLY] perfect [PERIOD]
perfect [AND] thoughtful [AND] excited [IMPLY] fearless [PERIOD]
excited [IMPLY] perfect [PERIOD]
fearless [AND] alert [IMPLY] calm [PERIOD]
excited [AND] old-fashioned [IMPLY] inquisitive [PERIOD]
excited [AND] combative [IMPLY] hypocritical [PERIOD]
messy [AND] perfect [AND] combative [IMPLY] hypocritical [PERIOD]
perfect [IMPLY] old-fashioned [PERIOD]
alert [AND] perfect [IMPLY] old-fashioned [PERIOD]
reserved [AND] messy [IMPLY] jittery [PERIOD]
messy [AND] calm [AND] old-fashioned [IMPLY] alert [PERIOD]
combative [AND] calm [IMPLY] hypocritical [PERIOD]
thoughtful [IMPLY] messy [PERIOD]
perfect [IMPLY] alert [PERIOD]
reserved [AND] jittery [AND] hypocritical [IMPLY] old-fashioned [PERIOD]
hypocritical [IMPLY] calm [PERIOD]
hypocritical [IMPLY] confident [PERIOD]
messy [AND] confident [AND] jittery [IMPLY] thoughtful [PERIOD]
alert [IMPLY] old-fashioned [PERIOD]
excited [AND] perfect [AND] alert [IMPLY] thoughtful [PERIOD]
hypocritical [IMPLY] excited [PERIOD]
jittery [AND] thoughtful [AND] reserved [IMPLY] inquisitive [PERIOD]
jittery [IMPLY] thoughtful [PERIOD]
calm [AND] perfect [IMPLY] jittery [PERIOD]
messy [AND] thoughtful [IMPLY] old-fashioned [PERIOD]
fearless [IMPLY] old-fashioned [PERIOD]
perfect [IMPLY] calm [PERIOD]
inquisitive [IMPLY] fearless [PERIOD]
fearless [AND] excited [IMPLY] perfect [PERIOD]
old-fashioned [AND] combative [AND] reserved [IMPLY] hypocritical [PERIOD]
combative [AND] calm [AND] alert [IMPLY] thoughtful [PERIOD]
reserved [IMPLY] old-fashioned [PERIOD]
jittery [AND] excited [AND] old-fashioned [IMPLY] fearless [PERIOD]
Query: Alice is calm [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is crowded [PERIOD] Alice is serious [PERIOD] Alice is hypocritical [PERIOD] Alice is inexpensive [PERIOD]
Rules:
ambitious [IMPLY] frantic [PERIOD]
serious [IMPLY] powerful [PERIOD]
tender [IMPLY] frantic [PERIOD]
serious [AND] powerful [IMPLY] ambitious [PERIOD]
disgusted [AND] hypocritical [IMPLY] outstanding [PERIOD]
gorgeous [AND] intellectual [IMPLY] weary [PERIOD]
weary [IMPLY] intellectual [PERIOD]
gorgeous [AND] gleaming [IMPLY] disgusted [PERIOD]
powerful [IMPLY] gleaming [PERIOD]
inexpensive [AND] gorgeous [AND] disgusted [IMPLY] crowded [PERIOD]
hypocritical [AND] disgusted [AND] gleaming [IMPLY] gorgeous [PERIOD]
powerful [AND] hypocritical [AND] weary [IMPLY] disgusted [PERIOD]
tender [IMPLY] intellectual [PERIOD]
disgusted [AND] gorgeous [IMPLY] serious [PERIOD]
disgusted [AND] inexpensive [AND] gorgeous [IMPLY] hypocritical [PERIOD]
powerful [IMPLY] hypocritical [PERIOD]
crowded [AND] inexpensive [IMPLY] disgusted [PERIOD]
gleaming [AND] intellectual [IMPLY] powerful [PERIOD]
outstanding [IMPLY] frantic [PERIOD]
outstanding [AND] ambitious [IMPLY] inexpensive [PERIOD]
gorgeous [AND] inexpensive [AND] weary [IMPLY] crowded [PERIOD]
disgusted [AND] gorgeous [AND] inexpensive [IMPLY] intellectual [PERIOD]
tender [AND] hypocritical [AND] inexpensive [IMPLY] ambitious [PERIOD]
disgusted [AND] intellectual [AND] weary [IMPLY] ambitious [PERIOD]
gleaming [AND] powerful [IMPLY] disgusted [PERIOD]
crowded [IMPLY] ambitious [PERIOD]
gleaming [AND] hypocritical [AND] ambitious [IMPLY] frantic [PERIOD]
serious [IMPLY] gorgeous [PERIOD]
crowded [AND] outstanding [AND] inexpensive [IMPLY] intellectual [PERIOD]
inexpensive [AND] frantic [AND] tender [IMPLY] powerful [PERIOD]
gleaming [IMPLY] disgusted [PERIOD]
disgusted [AND] crowded [IMPLY] outstanding [PERIOD]
frantic [IMPLY] powerful [PERIOD]
gorgeous [IMPLY] crowded [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   serious ⇒ gorgeous
   crowded ∧ inexpensive ⇒ disgusted
   serious ⇒ gorgeous
   disgusted ∧ gorgeous ∧ inexpensive ⇒ intellectual
   gorgeous ∧ intellectual ⇒ weary
",1,5
"Facts:  Alice is aggressive [PERIOD] Alice is sensible [PERIOD]
Rules:
silly [AND] sensible [IMPLY] wrong [PERIOD]
worrisome [AND] average [AND] confused [IMPLY] good [PERIOD]
wrong [AND] sensible [AND] glamorous [IMPLY] confused [PERIOD]
nervous [AND] average [AND] aggressive [IMPLY] silly [PERIOD]
confused [AND] sensible [AND] average [IMPLY] wrong [PERIOD]
worrisome [IMPLY] good [PERIOD]
good [IMPLY] average [PERIOD]
glamorous [AND] silly [AND] average [IMPLY] worrisome [PERIOD]
good [AND] sensible [AND] silly [IMPLY] wrong [PERIOD]
worrisome [AND] average [IMPLY] good [PERIOD]
wrong [IMPLY] witty [PERIOD]
average [AND] silly [AND] witty [IMPLY] confused [PERIOD]
wrong [AND] good [AND] worrisome [IMPLY] average [PERIOD]
worrisome [AND] good [IMPLY] sensible [PERIOD]
glamorous [AND] average [IMPLY] worrisome [PERIOD]
witty [IMPLY] nervous [PERIOD]
sensible [IMPLY] wrong [PERIOD]
nervous [AND] confused [AND] glamorous [IMPLY] witty [PERIOD]
silly [IMPLY] confused [PERIOD]
nervous [IMPLY] good [PERIOD]
silly [AND] glamorous [AND] witty [IMPLY] nervous [PERIOD]
average [IMPLY] silly [PERIOD]
sensible [IMPLY] silly [PERIOD]
wrong [AND] aggressive [IMPLY] average [PERIOD]
silly [AND] glamorous [IMPLY] worrisome [PERIOD]
glamorous [AND] sensible [IMPLY] aggressive [PERIOD]
aggressive [AND] silly [AND] wrong [IMPLY] good [PERIOD]
aggressive [IMPLY] average [PERIOD]
worrisome [AND] aggressive [AND] average [IMPLY] sensible [PERIOD]
Query: Alice is silly [PERIOD]","Proof chain:
   sensible ⇒ silly
",1,1
"Facts:  Alice is elegant [PERIOD] Alice is attentive [PERIOD] Alice is comfortable [PERIOD]
Rules:
tame [IMPLY] gifted [PERIOD]
cute [AND] frightened [IMPLY] alert [PERIOD]
comfortable [IMPLY] attentive [PERIOD]
loving [IMPLY] attentive [PERIOD]
bored [IMPLY] gifted [PERIOD]
fancy [AND] loving [IMPLY] gifted [PERIOD]
gleaming [AND] clumsy [AND] attentive [IMPLY] modern [PERIOD]
frightened [AND] comfortable [IMPLY] loving [PERIOD]
elegant [AND] gifted [AND] alert [IMPLY] talented [PERIOD]
modern [AND] frightened [IMPLY] cruel [PERIOD]
fearless [AND] loving [IMPLY] elegant [PERIOD]
modern [AND] loving [IMPLY] cute [PERIOD]
attentive [IMPLY] gifted [PERIOD]
gifted [AND] gleaming [IMPLY] clumsy [PERIOD]
cute [AND] frightened [IMPLY] clumsy [PERIOD]
impartial [IMPLY] clumsy [PERIOD]
fearless [AND] attentive [AND] tame [IMPLY] impartial [PERIOD]
gifted [IMPLY] frightened [PERIOD]
tame [AND] alert [AND] modern [IMPLY] loving [PERIOD]
bored [IMPLY] comfortable [PERIOD]
frightened [IMPLY] bored [PERIOD]
cute [IMPLY] loving [PERIOD]
frightened [IMPLY] alert [PERIOD]
clumsy [IMPLY] fancy [PERIOD]
elegant [AND] modern [AND] frightened [IMPLY] bored [PERIOD]
elegant [AND] tame [AND] comfortable [IMPLY] cute [PERIOD]
attentive [AND] frightened [IMPLY] gleaming [PERIOD]
bored [AND] frightened [IMPLY] talented [PERIOD]
fearless [IMPLY] bored [PERIOD]
fancy [AND] cruel [IMPLY] modern [PERIOD]
loving [AND] clumsy [IMPLY] cute [PERIOD]
alert [IMPLY] fearless [PERIOD]
attentive [IMPLY] elegant [PERIOD]
comfortable [AND] talented [IMPLY] alert [PERIOD]
clumsy [IMPLY] attentive [PERIOD]
attentive [AND] elegant [IMPLY] gifted [PERIOD]
attentive [AND] cruel [IMPLY] gleaming [PERIOD]
modern [AND] cruel [AND] gleaming [IMPLY] bored [PERIOD]
modern [AND] bored [IMPLY] fancy [PERIOD]
cruel [IMPLY] frightened [PERIOD]
frightened [AND] cute [AND] modern [IMPLY] gifted [PERIOD]
elegant [AND] bored [AND] modern [IMPLY] clumsy [PERIOD]
loving [AND] bored [IMPLY] clumsy [PERIOD]
tame [IMPLY] gleaming [PERIOD]
modern [AND] loving [AND] talented [IMPLY] fancy [PERIOD]
cute [AND] cruel [IMPLY] fancy [PERIOD]
gleaming [AND] fearless [AND] loving [IMPLY] fancy [PERIOD]
fancy [IMPLY] elegant [PERIOD]
cruel [AND] elegant [AND] comfortable [IMPLY] frightened [PERIOD]
impartial [AND] attentive [IMPLY] cruel [PERIOD]
frightened [IMPLY] impartial [PERIOD]
attentive [IMPLY] gleaming [PERIOD]
fearless [AND] tame [IMPLY] loving [PERIOD]
tame [AND] modern [IMPLY] clumsy [PERIOD]
fancy [IMPLY] impartial [PERIOD]
modern [AND] fearless [IMPLY] tame [PERIOD]
gifted [AND] attentive [AND] clumsy [IMPLY] tame [PERIOD]
loving [AND] gifted [IMPLY] impartial [PERIOD]
frightened [AND] alert [IMPLY] comfortable [PERIOD]
Query: Alice is modern [PERIOD]","Proof chain:
   attentive ⇒ gleaming
   attentive ⇒ gifted
   attentive ⇒ gleaming
   gifted ∧ gleaming ⇒ clumsy
   gleaming ∧ clumsy ∧ attentive ⇒ modern
",1,5
"Facts:  Alice is lonely [PERIOD] Alice is alert [PERIOD] Alice is inexpensive [PERIOD]
Rules:
foolish [IMPLY] lonely [PERIOD]
foolish [IMPLY] inexpensive [PERIOD]
amused [AND] excited [IMPLY] beautiful [PERIOD]
lonely [AND] confused [AND] beautiful [IMPLY] amused [PERIOD]
beautiful [AND] easy [AND] sensible [IMPLY] alert [PERIOD]
lonely [IMPLY] foolish [PERIOD]
inexpensive [IMPLY] alert [PERIOD]
excited [IMPLY] lonely [PERIOD]
foolish [IMPLY] beautiful [PERIOD]
foolish [AND] amused [IMPLY] lonely [PERIOD]
Query: Alice is amused [PERIOD]","Proof chain:
   lonely ⇒ foolish
   foolish ⇒ beautiful
   Cannot apply rule “lonely ∧ confused ∧ beautiful ⇒ amused” because missing: confused.
",0,3
"Facts: 
Rules:
confident [AND] agreeable [AND] fancy [IMPLY] spotless [PERIOD]
agreeable [IMPLY] wide-eyed [PERIOD]
fancy [IMPLY] agreeable [PERIOD]
mean [AND] agreeable [IMPLY] spotless [PERIOD]
agreeable [AND] spotless [AND] mean [IMPLY] wide-eyed [PERIOD]
agreeable [IMPLY] mean [PERIOD]
fancy [AND] spotless [IMPLY] confident [PERIOD]
spotless [IMPLY] mean [PERIOD]
mean [AND] confident [IMPLY] agreeable [PERIOD]
fancy [AND] wide-eyed [AND] agreeable [IMPLY] mean [PERIOD]
confident [AND] mean [AND] wide-eyed [IMPLY] spotless [PERIOD]
confident [IMPLY] wide-eyed [PERIOD]
confident [AND] agreeable [AND] spotless [IMPLY] wide-eyed [PERIOD]
agreeable [AND] mean [IMPLY] fancy [PERIOD]
spotless [IMPLY] confident [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   Cannot apply rule “confident ∧ agreeable ∧ fancy ⇒ spotless” because missing: confident, agreeable, fancy.
   Cannot apply rule “mean ∧ agreeable ⇒ spotless” because missing: mean, agreeable.
   Cannot apply rule “confident ∧ mean ∧ wide-eyed ⇒ spotless” because missing: confident, mean, wide-eyed.
",0,3
"Facts:  Alice is frightened [PERIOD] Alice is horrible [PERIOD] Alice is precious [PERIOD] Alice is tender [PERIOD] Alice is crowded [PERIOD] Alice is mysterious [PERIOD] Alice is disgusted [PERIOD] Alice is intellectual [PERIOD] Alice is embarrassed [PERIOD]
Rules:
crowded [AND] victorious [AND] famous [IMPLY] nervous [PERIOD]
distinct [AND] precious [AND] nervous [IMPLY] fearless [PERIOD]
mysterious [AND] disobedient [AND] long [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] horrible [PERIOD]
nervous [IMPLY] precious [PERIOD]
disgusted [AND] intellectual [AND] victorious [IMPLY] nervous [PERIOD]
intellectual [AND] famous [AND] broad-minded [IMPLY] disgusted [PERIOD]
stubborn [AND] fearless [AND] tender [IMPLY] horrible [PERIOD]
broad-minded [AND] distinct [IMPLY] nervous [PERIOD]
disgusted [AND] intellectual [AND] embarrassed [IMPLY] crowded [PERIOD]
fearless [IMPLY] distinct [PERIOD]
fearless [IMPLY] long [PERIOD]
precious [AND] famous [AND] crowded [IMPLY] mysterious [PERIOD]
nervous [IMPLY] distinct [PERIOD]
embarrassed [AND] disobedient [IMPLY] scared [PERIOD]
fearless [AND] nervous [AND] famous [IMPLY] tender [PERIOD]
scared [AND] victorious [AND] distinct [IMPLY] frightened [PERIOD]
disobedient [IMPLY] fearless [PERIOD]
disobedient [AND] precious [AND] frightened [IMPLY] broad-minded [PERIOD]
Query: Alice is fearless [PERIOD]","Proof chain:
   Cannot apply rule “distinct ∧ precious ∧ nervous ⇒ fearless” because missing: distinct, nervous.
   Cannot apply rule “disobedient ⇒ fearless” because missing: disobedient.
",0,2
"Facts:  Alice is pessimistic [PERIOD] Alice is enchanting [PERIOD] Alice is difficult [PERIOD] Alice is ugliest [PERIOD] Alice is disgusted [PERIOD] Alice is gifted [PERIOD] Alice is fine [PERIOD] Alice is hurt [PERIOD] Alice is perfect [PERIOD] Alice is light [PERIOD] Alice is tidy [PERIOD] Alice is horrible [PERIOD]
Rules:
hurt [AND] long [AND] pessimistic [IMPLY] famous [PERIOD]
stormy [IMPLY] elated [PERIOD]
long [AND] elated [IMPLY] homely [PERIOD]
witty [IMPLY] gifted [PERIOD]
disgusted [AND] difficult [AND] pessimistic [IMPLY] horrible [PERIOD]
fearless [AND] disgusted [IMPLY] gifted [PERIOD]
witty [AND] horrible [IMPLY] light [PERIOD]
strange [AND] difficult [AND] witty [IMPLY] fine [PERIOD]
witty [AND] fearless [AND] perfect [IMPLY] horrible [PERIOD]
horrible [AND] homely [IMPLY] difficult [PERIOD]
difficult [IMPLY] stormy [PERIOD]
Query: Alice is homely [PERIOD]","Proof chain:
   difficult ⇒ stormy
   stormy ⇒ elated
   Cannot apply rule “long ∧ elated ⇒ homely” because missing: long.
",0,3
"Facts:  Alice is diplomatic [PERIOD] Alice is disobedient [PERIOD]
Rules:
calm [AND] disobedient [AND] selfish [IMPLY] different [PERIOD]
disobedient [IMPLY] spotless [PERIOD]
messy [AND] polite [AND] busy [IMPLY] foolish [PERIOD]
famous [IMPLY] cooperative [PERIOD]
disobedient [IMPLY] tired [PERIOD]
strange [AND] inquisitive [IMPLY] diplomatic [PERIOD]
different [IMPLY] polite [PERIOD]
diplomatic [IMPLY] distinct [PERIOD]
messy [AND] elated [AND] embarrassed [IMPLY] disobedient [PERIOD]
foolish [AND] busy [IMPLY] sensible [PERIOD]
polite [AND] modern [AND] curious [IMPLY] different [PERIOD]
tired [IMPLY] busy [PERIOD]
different [IMPLY] messy [PERIOD]
strange [AND] lucky [IMPLY] embarrassed [PERIOD]
elated [AND] lonely [AND] distinct [IMPLY] tired [PERIOD]
embarrassed [AND] worried [IMPLY] cooperative [PERIOD]
different [AND] versatile [IMPLY] polite [PERIOD]
curious [AND] famous [IMPLY] messy [PERIOD]
diplomatic [AND] distinct [AND] busy [IMPLY] curious [PERIOD]
modern [AND] disobedient [AND] foolish [IMPLY] lucky [PERIOD]
calm [AND] worried [IMPLY] famous [PERIOD]
distinct [IMPLY] spotless [PERIOD]
modern [IMPLY] spotless [PERIOD]
lonely [AND] lucky [IMPLY] distinct [PERIOD]
different [AND] strange [IMPLY] versatile [PERIOD]
foolish [AND] spotless [AND] tired [IMPLY] versatile [PERIOD]
tired [AND] inquisitive [AND] polite [IMPLY] famous [PERIOD]
spotless [AND] disobedient [IMPLY] worried [PERIOD]
lucky [AND] strange [AND] modern [IMPLY] inquisitive [PERIOD]
busy [IMPLY] modern [PERIOD]
modern [AND] busy [IMPLY] worried [PERIOD]
embarrassed [IMPLY] inquisitive [PERIOD]
sensible [AND] busy [IMPLY] diplomatic [PERIOD]
foolish [AND] inquisitive [AND] sensible [IMPLY] lonely [PERIOD]
curious [IMPLY] different [PERIOD]
selfish [IMPLY] inquisitive [PERIOD]
different [AND] strange [AND] messy [IMPLY] lonely [PERIOD]
cooperative [IMPLY] curious [PERIOD]
lucky [AND] spotless [IMPLY] embarrassed [PERIOD]
inquisitive [IMPLY] lonely [PERIOD]
diplomatic [AND] modern [AND] worried [IMPLY] lucky [PERIOD]
polite [IMPLY] cooperative [PERIOD]
polite [AND] lonely [AND] curious [IMPLY] modern [PERIOD]
messy [AND] sensible [IMPLY] embarrassed [PERIOD]
elated [AND] diplomatic [IMPLY] versatile [PERIOD]
modern [IMPLY] sensible [PERIOD]
versatile [IMPLY] disobedient [PERIOD]
disobedient [AND] tired [IMPLY] messy [PERIOD]
distinct [AND] sensible [AND] curious [IMPLY] busy [PERIOD]
foolish [AND] different [IMPLY] strange [PERIOD]
selfish [AND] polite [IMPLY] worried [PERIOD]
diplomatic [AND] modern [IMPLY] busy [PERIOD]
messy [AND] strange [IMPLY] spotless [PERIOD]
different [AND] versatile [AND] calm [IMPLY] polite [PERIOD]
tired [AND] lonely [AND] curious [IMPLY] sensible [PERIOD]
cooperative [AND] elated [AND] strange [IMPLY] lucky [PERIOD]
diplomatic [AND] sensible [AND] tired [IMPLY] selfish [PERIOD]
curious [AND] versatile [AND] calm [IMPLY] strange [PERIOD]
versatile [AND] diplomatic [IMPLY] polite [PERIOD]
cooperative [AND] inquisitive [IMPLY] diplomatic [PERIOD]
spotless [AND] foolish [IMPLY] inquisitive [PERIOD]
busy [AND] versatile [AND] curious [IMPLY] strange [PERIOD]
curious [AND] diplomatic [IMPLY] selfish [PERIOD]
worried [AND] curious [IMPLY] different [PERIOD]
curious [AND] embarrassed [AND] selfish [IMPLY] spotless [PERIOD]
spotless [IMPLY] tired [PERIOD]
calm [IMPLY] famous [PERIOD]
worried [AND] versatile [AND] calm [IMPLY] different [PERIOD]
strange [IMPLY] inquisitive [PERIOD]
worried [AND] modern [AND] selfish [IMPLY] famous [PERIOD]
calm [AND] elated [AND] disobedient [IMPLY] modern [PERIOD]
messy [IMPLY] disobedient [PERIOD]
worried [IMPLY] foolish [PERIOD]
inquisitive [AND] versatile [IMPLY] cooperative [PERIOD]
calm [AND] inquisitive [IMPLY] embarrassed [PERIOD]
lonely [AND] lucky [IMPLY] disobedient [PERIOD]
curious [AND] lucky [IMPLY] polite [PERIOD]
versatile [AND] busy [IMPLY] lucky [PERIOD]
messy [IMPLY] modern [PERIOD]
lucky [IMPLY] versatile [PERIOD]
different [IMPLY] worried [PERIOD]
sensible [AND] foolish [IMPLY] inquisitive [PERIOD]
lucky [IMPLY] disobedient [PERIOD]
foolish [IMPLY] diplomatic [PERIOD]
disobedient [AND] sensible [IMPLY] diplomatic [PERIOD]
lonely [AND] cooperative [AND] different [IMPLY] famous [PERIOD]
foolish [IMPLY] busy [PERIOD]
busy [AND] embarrassed [AND] strange [IMPLY] modern [PERIOD]
busy [AND] versatile [IMPLY] selfish [PERIOD]
distinct [IMPLY] famous [PERIOD]
busy [AND] curious [IMPLY] worried [PERIOD]
diplomatic [AND] foolish [AND] selfish [IMPLY] polite [PERIOD]
Query: Alice is lucky [PERIOD]","Proof chain:
   disobedient ⇒ tired
   tired ⇒ busy
   busy ⇒ modern
   disobedient ⇒ spotless
   spotless ∧ disobedient ⇒ worried
   worried ⇒ foolish
   modern ∧ disobedient ∧ foolish ⇒ lucky
",1,7
"Facts: 
Rules:
condemned [AND] impatient [AND] clean [IMPLY] thoughtful [PERIOD]
impatient [AND] thoughtful [IMPLY] condemned [PERIOD]
impatient [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] condemned [PERIOD]
Query: Alice is impatient [PERIOD]","Proof chain:
   No rule concludes “impatient.”
",0,1
"Facts:  Alice is tense [PERIOD] Alice is anxious [PERIOD] Alice is plain [PERIOD] Alice is helpful [PERIOD] Alice is worrisome [PERIOD] Alice is gifted [PERIOD] Alice is careless [PERIOD] Alice is bright [PERIOD] Alice is tidy [PERIOD] Alice is frightened [PERIOD] Alice is vivacious [PERIOD] Alice is thoughtless [PERIOD] Alice is messy [PERIOD] Alice is easy [PERIOD] Alice is fancy [PERIOD] Alice is strange [PERIOD] Alice is witty [PERIOD] Alice is ugly [PERIOD] Alice is pleasant [PERIOD] Alice is bossy [PERIOD] Alice is wrong [PERIOD] Alice is disobedient [PERIOD] Alice is good [PERIOD]
Rules:
perfect [IMPLY] good [PERIOD]
witty [AND] tidy [AND] worrisome [IMPLY] good [PERIOD]
polite [AND] plain [IMPLY] easy [PERIOD]
talkative [IMPLY] frightened [PERIOD]
disobedient [IMPLY] strange [PERIOD]
good [AND] plain [IMPLY] polite [PERIOD]
bossy [AND] bright [AND] good [IMPLY] polite [PERIOD]
plain [AND] bossy [IMPLY] strange [PERIOD]
worrisome [IMPLY] inquisitive [PERIOD]
good [IMPLY] wrong [PERIOD]
elated [AND] strange [AND] plain [IMPLY] worrisome [PERIOD]
careless [AND] frightened [IMPLY] thoughtless [PERIOD]
strange [AND] tidy [AND] ugly [IMPLY] helpful [PERIOD]
bossy [AND] helpful [AND] wrong [IMPLY] tense [PERIOD]
careless [AND] talkative [IMPLY] elated [PERIOD]
tense [IMPLY] inquisitive [PERIOD]
elated [AND] thoughtless [IMPLY] inquisitive [PERIOD]
tense [AND] tidy [AND] elated [IMPLY] frightened [PERIOD]
worrisome [AND] careless [AND] frightened [IMPLY] strange [PERIOD]
helpful [AND] witty [IMPLY] bossy [PERIOD]
fancy [AND] vivacious [AND] disobedient [IMPLY] strange [PERIOD]
strange [IMPLY] tidy [PERIOD]
gifted [AND] wrong [IMPLY] messy [PERIOD]
talkative [IMPLY] strange [PERIOD]
fancy [AND] wrong [IMPLY] perfect [PERIOD]
easy [AND] good [IMPLY] disobedient [PERIOD]
frightened [IMPLY] easy [PERIOD]
polite [AND] frightened [IMPLY] anxious [PERIOD]
good [AND] tense [AND] polite [IMPLY] bright [PERIOD]
bright [IMPLY] good [PERIOD]
thoughtless [AND] bossy [AND] frightened [IMPLY] careless [PERIOD]
fancy [IMPLY] worrisome [PERIOD]
witty [AND] gifted [IMPLY] good [PERIOD]
tense [AND] fancy [AND] careless [IMPLY] elated [PERIOD]
easy [AND] anxious [AND] fancy [IMPLY] ugly [PERIOD]
innocent [IMPLY] inquisitive [PERIOD]
careless [AND] polite [AND] messy [IMPLY] helpful [PERIOD]
wrong [IMPLY] inquisitive [PERIOD]
talkative [AND] careless [IMPLY] easy [PERIOD]
plain [AND] loving [IMPLY] polite [PERIOD]
bossy [AND] talkative [AND] inquisitive [IMPLY] helpful [PERIOD]
talkative [AND] vivacious [AND] messy [IMPLY] bright [PERIOD]
gifted [AND] inquisitive [IMPLY] polite [PERIOD]
strange [AND] tidy [IMPLY] perfect [PERIOD]
talkative [AND] strange [AND] thoughtless [IMPLY] witty [PERIOD]
inquisitive [AND] tidy [AND] tense [IMPLY] vivacious [PERIOD]
plain [IMPLY] tense [PERIOD]
vivacious [IMPLY] disobedient [PERIOD]
polite [IMPLY] good [PERIOD]
plain [AND] bossy [IMPLY] ugly [PERIOD]
witty [AND] tense [IMPLY] polite [PERIOD]
perfect [AND] plain [IMPLY] talkative [PERIOD]
innocent [IMPLY] careless [PERIOD]
elated [AND] careless [IMPLY] loving [PERIOD]
plain [IMPLY] strange [PERIOD]
innocent [IMPLY] easy [PERIOD]
ugly [IMPLY] fancy [PERIOD]
strange [IMPLY] wrong [PERIOD]
anxious [AND] inquisitive [IMPLY] helpful [PERIOD]
anxious [AND] fancy [AND] bossy [IMPLY] plain [PERIOD]
ugly [AND] good [AND] innocent [IMPLY] messy [PERIOD]
inquisitive [AND] anxious [AND] good [IMPLY] witty [PERIOD]
elated [IMPLY] loving [PERIOD]
inquisitive [IMPLY] ugly [PERIOD]
frightened [IMPLY] good [PERIOD]
inquisitive [AND] bossy [IMPLY] vivacious [PERIOD]
Query: Alice is elated [PERIOD]","Proof chain:
   tense ∧ fancy ∧ careless ⇒ elated
",1,1
"Facts:  Alice is tense [PERIOD] Alice is bossy [PERIOD]
Rules:
bossy [AND] frail [AND] frantic [IMPLY] tense [PERIOD]
tense [AND] frail [IMPLY] cooperative [PERIOD]
tense [IMPLY] frantic [PERIOD]
frantic [AND] tense [AND] cooperative [IMPLY] frail [PERIOD]
inquisitive [AND] bossy [IMPLY] frantic [PERIOD]
cooperative [AND] inquisitive [IMPLY] frail [PERIOD]
frail [AND] inquisitive [AND] tense [IMPLY] cooperative [PERIOD]
inquisitive [AND] bossy [IMPLY] frail [PERIOD]
cooperative [AND] inquisitive [IMPLY] frantic [PERIOD]
frantic [AND] bossy [AND] tense [IMPLY] frail [PERIOD]
frantic [IMPLY] bossy [PERIOD]
frail [IMPLY] bossy [PERIOD]
tense [IMPLY] inquisitive [PERIOD]
frail [AND] tense [IMPLY] inquisitive [PERIOD]
frail [AND] frantic [AND] bossy [IMPLY] cooperative [PERIOD]
frail [AND] inquisitive [AND] tense [IMPLY] frantic [PERIOD]
tense [AND] frantic [AND] frail [IMPLY] bossy [PERIOD]
tense [AND] cooperative [AND] frail [IMPLY] inquisitive [PERIOD]
bossy [AND] frantic [IMPLY] frail [PERIOD]
inquisitive [AND] frantic [AND] cooperative [IMPLY] frail [PERIOD]
frail [IMPLY] inquisitive [PERIOD]
Query: Alice is cooperative [PERIOD]","Proof chain:
   tense ⇒ frantic
   frantic ∧ bossy ∧ tense ⇒ frail
   tense ∧ frail ⇒ cooperative
",1,3
"Facts:  Alice is bored [PERIOD]
Rules:
fine [AND] dishonest [IMPLY] hilarious [PERIOD]
fine [AND] bored [AND] distinct [IMPLY] clumsy [PERIOD]
fragile [AND] combative [IMPLY] loving [PERIOD]
precious [AND] fragile [IMPLY] distinct [PERIOD]
loving [IMPLY] combative [PERIOD]
fragile [IMPLY] hypocritical [PERIOD]
tired [AND] combative [IMPLY] fine [PERIOD]
combative [IMPLY] loving [PERIOD]
joyous [IMPLY] broad-minded [PERIOD]
bored [AND] combative [AND] fragile [IMPLY] jittery [PERIOD]
helpless [AND] fragile [AND] jittery [IMPLY] precious [PERIOD]
precious [AND] tired [IMPLY] jittery [PERIOD]
loving [IMPLY] helpless [PERIOD]
precious [AND] broad-minded [IMPLY] combative [PERIOD]
jittery [AND] distinct [AND] hypocritical [IMPLY] precious [PERIOD]
fragile [AND] joyous [AND] combative [IMPLY] bored [PERIOD]
bored [AND] precious [IMPLY] broad-minded [PERIOD]
foolish [IMPLY] clumsy [PERIOD]
clumsy [AND] distinct [AND] combative [IMPLY] helpless [PERIOD]
bored [AND] precious [IMPLY] foolish [PERIOD]
dishonest [IMPLY] tired [PERIOD]
jittery [AND] precious [AND] loving [IMPLY] fine [PERIOD]
combative [IMPLY] clumsy [PERIOD]
hilarious [IMPLY] foolish [PERIOD]
loving [IMPLY] broad-minded [PERIOD]
distinct [IMPLY] hypocritical [PERIOD]
clumsy [IMPLY] broad-minded [PERIOD]
fragile [IMPLY] loving [PERIOD]
joyous [AND] fragile [AND] hilarious [IMPLY] helpless [PERIOD]
hilarious [IMPLY] fine [PERIOD]
bored [AND] foolish [AND] precious [IMPLY] joyous [PERIOD]
jittery [IMPLY] tired [PERIOD]
distinct [IMPLY] broad-minded [PERIOD]
hypocritical [IMPLY] dishonest [PERIOD]
precious [IMPLY] dishonest [PERIOD]
bored [AND] helpless [AND] jittery [IMPLY] fragile [PERIOD]
broad-minded [AND] clumsy [AND] helpless [IMPLY] combative [PERIOD]
tired [IMPLY] helpless [PERIOD]
hilarious [AND] combative [IMPLY] hypocritical [PERIOD]
combative [AND] broad-minded [AND] fragile [IMPLY] tired [PERIOD]
dishonest [AND] hypocritical [IMPLY] helpless [PERIOD]
broad-minded [IMPLY] combative [PERIOD]
tired [AND] combative [IMPLY] precious [PERIOD]
clumsy [AND] loving [AND] combative [IMPLY] hilarious [PERIOD]
tired [AND] hilarious [IMPLY] loving [PERIOD]
dishonest [IMPLY] hilarious [PERIOD]
tired [AND] precious [AND] dishonest [IMPLY] joyous [PERIOD]
hilarious [AND] fragile [AND] clumsy [IMPLY] foolish [PERIOD]
combative [IMPLY] jittery [PERIOD]
tired [AND] jittery [AND] bored [IMPLY] fine [PERIOD]
broad-minded [AND] bored [AND] joyous [IMPLY] foolish [PERIOD]
loving [IMPLY] dishonest [PERIOD]
hilarious [IMPLY] precious [PERIOD]
foolish [AND] combative [IMPLY] broad-minded [PERIOD]
hilarious [AND] fragile [AND] loving [IMPLY] clumsy [PERIOD]
tired [AND] dishonest [AND] distinct [IMPLY] clumsy [PERIOD]
clumsy [AND] precious [AND] dishonest [IMPLY] broad-minded [PERIOD]
foolish [IMPLY] dishonest [PERIOD]
fine [IMPLY] loving [PERIOD]
jittery [IMPLY] bored [PERIOD]
clumsy [AND] hilarious [IMPLY] fine [PERIOD]
tired [IMPLY] fine [PERIOD]
foolish [AND] dishonest [AND] jittery [IMPLY] precious [PERIOD]
jittery [AND] dishonest [IMPLY] combative [PERIOD]
precious [AND] broad-minded [IMPLY] jittery [PERIOD]
Query: Alice is broad-minded [PERIOD]","Proof chain:
   Cannot apply rule “joyous ⇒ broad-minded” because missing: joyous.
   Cannot apply rule “bored ∧ precious ⇒ broad-minded” because missing: precious.
   Cannot apply rule “loving ⇒ broad-minded” because missing: loving.
   Cannot apply rule “clumsy ⇒ broad-minded” because missing: clumsy.
   Cannot apply rule “distinct ⇒ broad-minded” because missing: distinct.
   Cannot apply rule “foolish ∧ combative ⇒ broad-minded” because missing: foolish, combative.
   Cannot apply rule “clumsy ∧ precious ∧ dishonest ⇒ broad-minded” because missing: clumsy, precious, dishonest.
",0,7
"Facts:  Alice is troubled [PERIOD] Alice is aggressive [PERIOD] Alice is worried [PERIOD]
Rules:
hurt [IMPLY] foolish [PERIOD]
selfish [IMPLY] fancy [PERIOD]
exuberant [AND] courageous [IMPLY] victorious [PERIOD]
weary [AND] hurt [IMPLY] frantic [PERIOD]
innocent [AND] courageous [AND] hurt [IMPLY] exuberant [PERIOD]
precious [IMPLY] hurt [PERIOD]
precious [AND] worried [IMPLY] weary [PERIOD]
victorious [IMPLY] embarrassed [PERIOD]
spotless [AND] victorious [IMPLY] precious [PERIOD]
selfish [AND] tired [AND] perfect [IMPLY] frantic [PERIOD]
hurt [AND] innocent [IMPLY] troubled [PERIOD]
weary [AND] precious [IMPLY] victorious [PERIOD]
courageous [AND] anxious [IMPLY] spotless [PERIOD]
victorious [AND] perfect [IMPLY] anxious [PERIOD]
aggressive [AND] foolish [IMPLY] ugly [PERIOD]
spotless [IMPLY] aggressive [PERIOD]
hurt [AND] selfish [IMPLY] spotless [PERIOD]
frantic [AND] fancy [IMPLY] dishonest [PERIOD]
selfish [IMPLY] foolish [PERIOD]
tired [AND] ugly [AND] courageous [IMPLY] perfect [PERIOD]
weary [AND] ugly [AND] aggressive [IMPLY] anxious [PERIOD]
victorious [IMPLY] exuberant [PERIOD]
precious [AND] spotless [AND] hurt [IMPLY] troubled [PERIOD]
troubled [IMPLY] tired [PERIOD]
embarrassed [AND] tired [AND] foolish [IMPLY] aggressive [PERIOD]
fancy [AND] courageous [AND] dishonest [IMPLY] foolish [PERIOD]
anxious [AND] precious [AND] aggressive [IMPLY] spotless [PERIOD]
weary [AND] perfect [IMPLY] ugly [PERIOD]
worried [AND] troubled [IMPLY] frantic [PERIOD]
worried [AND] aggressive [AND] perfect [IMPLY] ugly [PERIOD]
ugly [AND] worried [IMPLY] courageous [PERIOD]
aggressive [AND] exuberant [AND] spotless [IMPLY] troubled [PERIOD]
worried [IMPLY] anxious [PERIOD]
ugly [IMPLY] spotless [PERIOD]
exuberant [IMPLY] fancy [PERIOD]
weary [AND] frantic [AND] exuberant [IMPLY] precious [PERIOD]
frantic [AND] worried [IMPLY] embarrassed [PERIOD]
tired [AND] innocent [IMPLY] foolish [PERIOD]
dishonest [AND] tired [AND] selfish [IMPLY] courageous [PERIOD]
dishonest [AND] anxious [IMPLY] frantic [PERIOD]
courageous [AND] hurt [IMPLY] embarrassed [PERIOD]
precious [AND] dishonest [AND] tired [IMPLY] courageous [PERIOD]
spotless [AND] dishonest [IMPLY] worried [PERIOD]
courageous [AND] embarrassed [AND] weary [IMPLY] spotless [PERIOD]
embarrassed [AND] aggressive [IMPLY] tired [PERIOD]
weary [AND] selfish [IMPLY] innocent [PERIOD]
troubled [AND] anxious [AND] precious [IMPLY] fancy [PERIOD]
troubled [AND] fancy [IMPLY] worried [PERIOD]
dishonest [IMPLY] troubled [PERIOD]
precious [AND] selfish [AND] weary [IMPLY] ugly [PERIOD]
perfect [AND] dishonest [AND] worried [IMPLY] foolish [PERIOD]
embarrassed [AND] fancy [IMPLY] courageous [PERIOD]
anxious [IMPLY] frantic [PERIOD]
perfect [AND] hurt [IMPLY] weary [PERIOD]
tired [AND] aggressive [AND] spotless [IMPLY] frantic [PERIOD]
ugly [AND] fancy [IMPLY] troubled [PERIOD]
victorious [AND] precious [IMPLY] exuberant [PERIOD]
foolish [IMPLY] ugly [PERIOD]
embarrassed [IMPLY] courageous [PERIOD]
hurt [IMPLY] embarrassed [PERIOD]
anxious [IMPLY] dishonest [PERIOD]
precious [AND] worried [AND] selfish [IMPLY] fancy [PERIOD]
precious [AND] embarrassed [AND] courageous [IMPLY] spotless [PERIOD]
worried [AND] aggressive [AND] anxious [IMPLY] hurt [PERIOD]
selfish [AND] precious [AND] innocent [IMPLY] embarrassed [PERIOD]
exuberant [AND] tired [IMPLY] troubled [PERIOD]
victorious [IMPLY] precious [PERIOD]
weary [IMPLY] selfish [PERIOD]
worried [IMPLY] innocent [PERIOD]
selfish [AND] worried [AND] tired [IMPLY] dishonest [PERIOD]
anxious [AND] courageous [AND] spotless [IMPLY] weary [PERIOD]
victorious [AND] courageous [IMPLY] tired [PERIOD]
embarrassed [IMPLY] victorious [PERIOD]
fancy [AND] foolish [AND] hurt [IMPLY] innocent [PERIOD]
perfect [AND] innocent [IMPLY] selfish [PERIOD]
embarrassed [AND] aggressive [AND] frantic [IMPLY] victorious [PERIOD]
innocent [AND] precious [AND] troubled [IMPLY] fancy [PERIOD]
foolish [AND] innocent [AND] dishonest [IMPLY] weary [PERIOD]
tired [IMPLY] anxious [PERIOD]
perfect [AND] tired [AND] courageous [IMPLY] worried [PERIOD]
Query: Alice is weary [PERIOD]","Proof chain:
   troubled ⇒ tired
   worried ⇒ innocent
   tired ∧ innocent ⇒ foolish
   worried ⇒ innocent
   worried ⇒ anxious
   anxious ⇒ dishonest
   foolish ∧ innocent ∧ dishonest ⇒ weary
",1,7
"Facts:  Alice is ugly [PERIOD] Alice is worried [PERIOD] Alice is shy [PERIOD] Alice is stubborn [PERIOD] Alice is tired [PERIOD] Alice is spotless [PERIOD] Alice is combative [PERIOD] Alice is attentive [PERIOD] Alice is gifted [PERIOD] Alice is troubled [PERIOD] Alice is careless [PERIOD] Alice is busy [PERIOD] Alice is disgusted [PERIOD]
Rules:
amused [AND] tired [IMPLY] disgusted [PERIOD]
shy [IMPLY] combative [PERIOD]
stubborn [AND] disgusted [IMPLY] spotless [PERIOD]
busy [AND] amused [AND] shy [IMPLY] frantic [PERIOD]
busy [IMPLY] gifted [PERIOD]
careless [IMPLY] ugly [PERIOD]
lonely [AND] ugly [AND] careless [IMPLY] troubled [PERIOD]
ugly [AND] tired [IMPLY] spotless [PERIOD]
disgusted [AND] frantic [AND] stubborn [IMPLY] ugly [PERIOD]
frantic [AND] worried [IMPLY] tired [PERIOD]
ugly [AND] shy [AND] perfect [IMPLY] busy [PERIOD]
busy [AND] worried [IMPLY] amused [PERIOD]
tired [AND] combative [IMPLY] troubled [PERIOD]
attentive [AND] combative [IMPLY] disgusted [PERIOD]
amused [IMPLY] stubborn [PERIOD]
tired [AND] disgusted [AND] troubled [IMPLY] careless [PERIOD]
careless [IMPLY] spotless [PERIOD]
lonely [AND] amused [AND] spotless [IMPLY] troubled [PERIOD]
spotless [IMPLY] troubled [PERIOD]
tired [AND] lonely [IMPLY] shy [PERIOD]
frantic [IMPLY] busy [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is gleaming [PERIOD] Alice is glamorous [PERIOD] Alice is fearless [PERIOD] Alice is lucky [PERIOD]
Rules:
scared [AND] excited [IMPLY] fearless [PERIOD]
loving [AND] cute [IMPLY] grumpy [PERIOD]
impatient [IMPLY] average [PERIOD]
excited [IMPLY] disgusted [PERIOD]
anxious [AND] lucky [IMPLY] charming [PERIOD]
blushing [IMPLY] confused [PERIOD]
scared [AND] clean [AND] busy [IMPLY] excited [PERIOD]
cute [AND] charming [AND] gleaming [IMPLY] fearless [PERIOD]
attractive [AND] curious [IMPLY] loving [PERIOD]
busy [AND] anxious [IMPLY] average [PERIOD]
fearless [AND] attractive [AND] excited [IMPLY] loving [PERIOD]
impatient [AND] fearless [AND] loving [IMPLY] busy [PERIOD]
fearless [IMPLY] charming [PERIOD]
confused [AND] gleaming [IMPLY] charming [PERIOD]
blushing [AND] disgusted [IMPLY] fearless [PERIOD]
modern [IMPLY] scared [PERIOD]
loving [IMPLY] impatient [PERIOD]
careless [AND] disgusted [AND] scared [IMPLY] fearless [PERIOD]
fearless [AND] glamorous [AND] careless [IMPLY] cute [PERIOD]
lucky [AND] fearless [AND] impatient [IMPLY] anxious [PERIOD]
busy [AND] impatient [IMPLY] cute [PERIOD]
excited [AND] anxious [IMPLY] careless [PERIOD]
lucky [IMPLY] curious [PERIOD]
average [AND] cute [AND] exuberant [IMPLY] disgusted [PERIOD]
grumpy [AND] lucky [IMPLY] charming [PERIOD]
scared [AND] blushing [IMPLY] impatient [PERIOD]
modern [AND] careless [AND] cute [IMPLY] blushing [PERIOD]
careless [AND] impatient [IMPLY] disgusted [PERIOD]
excited [IMPLY] impatient [PERIOD]
scared [AND] gleaming [IMPLY] blushing [PERIOD]
exuberant [IMPLY] lucky [PERIOD]
gleaming [AND] cute [IMPLY] grumpy [PERIOD]
confused [AND] busy [IMPLY] lucky [PERIOD]
disgusted [AND] exuberant [IMPLY] curious [PERIOD]
blushing [AND] cute [AND] clean [IMPLY] curious [PERIOD]
average [IMPLY] blushing [PERIOD]
grumpy [AND] cute [AND] blushing [IMPLY] disgusted [PERIOD]
disgusted [AND] blushing [IMPLY] loving [PERIOD]
careless [AND] modern [AND] charming [IMPLY] lucky [PERIOD]
gleaming [AND] glamorous [IMPLY] modern [PERIOD]
cute [IMPLY] fearless [PERIOD]
loving [AND] lucky [AND] busy [IMPLY] disgusted [PERIOD]
careless [IMPLY] cute [PERIOD]
grumpy [AND] clean [IMPLY] confused [PERIOD]
blushing [IMPLY] modern [PERIOD]
gleaming [AND] busy [IMPLY] blushing [PERIOD]
grumpy [AND] anxious [IMPLY] cute [PERIOD]
Query: Alice is anxious [PERIOD]","Proof chain:
   gleaming ∧ glamorous ⇒ modern
   modern ⇒ scared
   gleaming ∧ glamorous ⇒ modern
   modern ⇒ scared
   scared ∧ gleaming ⇒ blushing
   scared ∧ blushing ⇒ impatient
   lucky ∧ fearless ∧ impatient ⇒ anxious
",1,7
"Facts:  Alice is gleaming [PERIOD] Alice is hurt [PERIOD] Alice is condemned [PERIOD] Alice is strange [PERIOD] Alice is thoughtless [PERIOD] Alice is elated [PERIOD] Alice is attentive [PERIOD] Alice is shiny [PERIOD]
Rules:
courageous [AND] strange [IMPLY] naughty [PERIOD]
elated [IMPLY] talkative [PERIOD]
good [AND] witty [AND] hurt [IMPLY] naughty [PERIOD]
naughty [AND] average [IMPLY] hurt [PERIOD]
naughty [AND] gleaming [IMPLY] amused [PERIOD]
combative [AND] elated [IMPLY] good [PERIOD]
stupid [AND] talkative [AND] gifted [IMPLY] witty [PERIOD]
courageous [AND] strange [IMPLY] talkative [PERIOD]
naughty [AND] average [IMPLY] intellectual [PERIOD]
amused [IMPLY] thoughtless [PERIOD]
condemned [AND] amused [AND] courageous [IMPLY] intellectual [PERIOD]
cruel [IMPLY] attentive [PERIOD]
gifted [IMPLY] strange [PERIOD]
condemned [AND] good [IMPLY] attentive [PERIOD]
joyous [AND] busy [AND] elated [IMPLY] witty [PERIOD]
average [AND] attentive [AND] intellectual [IMPLY] naughty [PERIOD]
Query: Alice is strange [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is fancy [PERIOD] Alice is precious [PERIOD] Alice is scared [PERIOD] Alice is attentive [PERIOD] Alice is elated [PERIOD] Alice is inquisitive [PERIOD] Alice is thoughtless [PERIOD] Alice is gifted [PERIOD] Alice is frail [PERIOD]
Rules:
inquisitive [AND] beautiful [AND] attentive [IMPLY] cruel [PERIOD]
beautiful [AND] zealous [IMPLY] elated [PERIOD]
elated [AND] innocent [IMPLY] scared [PERIOD]
weary [IMPLY] zealous [PERIOD]
attentive [IMPLY] beautiful [PERIOD]
frail [AND] talented [IMPLY] attentive [PERIOD]
agreeable [AND] frail [AND] inquisitive [IMPLY] scared [PERIOD]
elated [AND] zealous [IMPLY] cruel [PERIOD]
attentive [IMPLY] scared [PERIOD]
zealous [IMPLY] beautiful [PERIOD]
frail [AND] sleepy [IMPLY] beautiful [PERIOD]
talented [AND] elated [AND] beautiful [IMPLY] inquisitive [PERIOD]
jittery [AND] frail [AND] beautiful [IMPLY] scared [PERIOD]
innocent [AND] agreeable [AND] beautiful [IMPLY] precious [PERIOD]
frail [AND] sleepy [AND] scared [IMPLY] talented [PERIOD]
cruel [AND] scared [IMPLY] gifted [PERIOD]
stupid [AND] sleepy [AND] elated [IMPLY] thoughtless [PERIOD]
stupid [IMPLY] long [PERIOD]
attentive [IMPLY] zealous [PERIOD]
frail [IMPLY] scared [PERIOD]
agreeable [AND] sleepy [AND] gifted [IMPLY] thoughtless [PERIOD]
innocent [IMPLY] talented [PERIOD]
beautiful [AND] weary [IMPLY] fancy [PERIOD]
long [IMPLY] frail [PERIOD]
innocent [AND] long [IMPLY] fancy [PERIOD]
scared [IMPLY] gifted [PERIOD]
frail [AND] attentive [IMPLY] elated [PERIOD]
talented [AND] stupid [AND] jittery [IMPLY] long [PERIOD]
beautiful [AND] cruel [AND] thoughtless [IMPLY] jittery [PERIOD]
attentive [AND] precious [IMPLY] weary [PERIOD]
elated [AND] scared [AND] cruel [IMPLY] zealous [PERIOD]
inquisitive [AND] stupid [AND] zealous [IMPLY] cruel [PERIOD]
zealous [AND] gifted [AND] precious [IMPLY] beautiful [PERIOD]
attentive [AND] scared [AND] cruel [IMPLY] elated [PERIOD]
sleepy [AND] elated [IMPLY] thoughtless [PERIOD]
gifted [IMPLY] inquisitive [PERIOD]
sleepy [AND] weary [IMPLY] agreeable [PERIOD]
beautiful [AND] agreeable [AND] sleepy [IMPLY] weary [PERIOD]
inquisitive [AND] innocent [AND] frail [IMPLY] talented [PERIOD]
elated [AND] attentive [AND] talented [IMPLY] inquisitive [PERIOD]
stupid [AND] fancy [IMPLY] talented [PERIOD]
innocent [AND] beautiful [IMPLY] long [PERIOD]
inquisitive [AND] attentive [AND] jittery [IMPLY] zealous [PERIOD]
stupid [IMPLY] beautiful [PERIOD]
fancy [IMPLY] thoughtless [PERIOD]
agreeable [AND] fancy [AND] stupid [IMPLY] weary [PERIOD]
cruel [AND] stupid [AND] talented [IMPLY] precious [PERIOD]
elated [AND] jittery [IMPLY] gifted [PERIOD]
attentive [AND] long [AND] elated [IMPLY] precious [PERIOD]
sleepy [IMPLY] talented [PERIOD]
inquisitive [IMPLY] scared [PERIOD]
weary [IMPLY] agreeable [PERIOD]
frail [IMPLY] sleepy [PERIOD]
attentive [IMPLY] frail [PERIOD]
frail [IMPLY] fancy [PERIOD]
long [IMPLY] stupid [PERIOD]
jittery [AND] agreeable [AND] precious [IMPLY] beautiful [PERIOD]
thoughtless [AND] stupid [AND] elated [IMPLY] beautiful [PERIOD]
elated [IMPLY] weary [PERIOD]
zealous [AND] thoughtless [IMPLY] weary [PERIOD]
gifted [AND] sleepy [AND] inquisitive [IMPLY] precious [PERIOD]
agreeable [AND] cruel [AND] scared [IMPLY] sleepy [PERIOD]
frail [AND] jittery [AND] talented [IMPLY] long [PERIOD]
inquisitive [AND] beautiful [IMPLY] talented [PERIOD]
thoughtless [AND] inquisitive [AND] gifted [IMPLY] sleepy [PERIOD]
Query: Alice is jittery [PERIOD]","Proof chain:
   attentive ⇒ beautiful
   attentive ⇒ beautiful
   inquisitive ∧ beautiful ∧ attentive ⇒ cruel
   beautiful ∧ cruel ∧ thoughtless ⇒ jittery
",1,4
"Facts:  Alice is rational [PERIOD] Alice is wide-eyed [PERIOD] Alice is tense [PERIOD] Alice is curious [PERIOD] Alice is aggressive [PERIOD]
Rules:
impartial [AND] mean [AND] clean [IMPLY] tense [PERIOD]
impartial [AND] condemned [IMPLY] wide-eyed [PERIOD]
tense [AND] attractive [AND] ambitious [IMPLY] inquisitive [PERIOD]
long [AND] ambitious [AND] amused [IMPLY] aggressive [PERIOD]
inquisitive [IMPLY] polite [PERIOD]
ambitious [AND] smart [IMPLY] mysterious [PERIOD]
victorious [AND] gorgeous [AND] inquisitive [IMPLY] ambitious [PERIOD]
smart [IMPLY] wide-eyed [PERIOD]
polite [IMPLY] ambitious [PERIOD]
smart [AND] victorious [IMPLY] mean [PERIOD]
attractive [AND] polite [IMPLY] gorgeous [PERIOD]
impatient [AND] gorgeous [AND] thoughtless [IMPLY] smart [PERIOD]
inquisitive [AND] mean [AND] curious [IMPLY] rude [PERIOD]
rude [AND] clean [IMPLY] ugliest [PERIOD]
ugly [AND] amused [IMPLY] impartial [PERIOD]
mysterious [IMPLY] impartial [PERIOD]
rational [IMPLY] inquisitive [PERIOD]
gorgeous [AND] clean [IMPLY] unpleasant [PERIOD]
victorious [AND] foolish [AND] ugliest [IMPLY] ugly [PERIOD]
smart [IMPLY] foolish [PERIOD]
tense [IMPLY] long [PERIOD]
polite [AND] inquisitive [AND] victorious [IMPLY] thoughtless [PERIOD]
polite [AND] curious [IMPLY] victorious [PERIOD]
attractive [IMPLY] thoughtless [PERIOD]
impartial [AND] thoughtless [IMPLY] rational [PERIOD]
amused [AND] impatient [AND] curious [IMPLY] thoughtless [PERIOD]
tense [AND] ugliest [AND] ugly [IMPLY] wide-eyed [PERIOD]
mysterious [AND] attractive [AND] impartial [IMPLY] unpleasant [PERIOD]
rational [IMPLY] mysterious [PERIOD]
victorious [AND] foolish [AND] inquisitive [IMPLY] impatient [PERIOD]
foolish [IMPLY] aggressive [PERIOD]
ugly [AND] victorious [AND] polite [IMPLY] clean [PERIOD]
ugliest [IMPLY] rational [PERIOD]
long [AND] tense [AND] ugliest [IMPLY] ambitious [PERIOD]
aggressive [AND] ugly [AND] wide-eyed [IMPLY] polite [PERIOD]
mean [AND] condemned [IMPLY] foolish [PERIOD]
smart [AND] mean [IMPLY] tense [PERIOD]
tense [AND] attractive [AND] condemned [IMPLY] victorious [PERIOD]
foolish [AND] impatient [IMPLY] impartial [PERIOD]
attractive [AND] condemned [IMPLY] victorious [PERIOD]
attractive [AND] condemned [AND] impartial [IMPLY] amused [PERIOD]
gorgeous [IMPLY] polite [PERIOD]
ugliest [AND] impatient [IMPLY] victorious [PERIOD]
aggressive [IMPLY] gorgeous [PERIOD]
aggressive [IMPLY] long [PERIOD]
thoughtless [IMPLY] rude [PERIOD]
smart [AND] curious [AND] aggressive [IMPLY] thoughtless [PERIOD]
ambitious [AND] long [IMPLY] thoughtless [PERIOD]
inquisitive [AND] ambitious [AND] amused [IMPLY] foolish [PERIOD]
amused [IMPLY] ambitious [PERIOD]
polite [AND] condemned [IMPLY] inquisitive [PERIOD]
condemned [AND] smart [IMPLY] foolish [PERIOD]
ambitious [IMPLY] impartial [PERIOD]
curious [IMPLY] ugliest [PERIOD]
curious [AND] wide-eyed [AND] tense [IMPLY] impatient [PERIOD]
clean [AND] tense [AND] mean [IMPLY] ugly [PERIOD]
mean [IMPLY] attractive [PERIOD]
victorious [AND] clean [AND] curious [IMPLY] ugly [PERIOD]
polite [IMPLY] tense [PERIOD]
clean [AND] rational [AND] polite [IMPLY] impatient [PERIOD]
thoughtless [AND] ugliest [AND] impatient [IMPLY] condemned [PERIOD]
ugliest [IMPLY] thoughtless [PERIOD]
unpleasant [AND] curious [AND] impartial [IMPLY] victorious [PERIOD]
mean [IMPLY] mysterious [PERIOD]
rational [AND] ugliest [IMPLY] tense [PERIOD]
smart [AND] ugliest [IMPLY] rude [PERIOD]
mysterious [AND] unpleasant [AND] tense [IMPLY] attractive [PERIOD]
mean [AND] aggressive [IMPLY] condemned [PERIOD]
long [IMPLY] ambitious [PERIOD]
wide-eyed [AND] thoughtless [IMPLY] ambitious [PERIOD]
clean [AND] ugliest [AND] ambitious [IMPLY] unpleasant [PERIOD]
clean [AND] gorgeous [AND] attractive [IMPLY] mean [PERIOD]
long [AND] foolish [AND] curious [IMPLY] amused [PERIOD]
foolish [AND] rude [IMPLY] mean [PERIOD]
wide-eyed [AND] smart [IMPLY] polite [PERIOD]
condemned [AND] inquisitive [IMPLY] tense [PERIOD]
tense [IMPLY] mean [PERIOD]
mysterious [IMPLY] rude [PERIOD]
rude [IMPLY] ugly [PERIOD]
aggressive [AND] ugly [IMPLY] condemned [PERIOD]
mysterious [AND] ugly [AND] clean [IMPLY] mean [PERIOD]
impartial [AND] smart [AND] gorgeous [IMPLY] curious [PERIOD]
impatient [IMPLY] ambitious [PERIOD]
curious [IMPLY] gorgeous [PERIOD]
foolish [AND] aggressive [AND] mysterious [IMPLY] ugly [PERIOD]
ugly [AND] unpleasant [AND] wide-eyed [IMPLY] long [PERIOD]
mean [AND] smart [IMPLY] clean [PERIOD]
victorious [AND] ugly [IMPLY] attractive [PERIOD]
clean [IMPLY] ugly [PERIOD]
curious [IMPLY] unpleasant [PERIOD]
polite [IMPLY] gorgeous [PERIOD]
impartial [IMPLY] impatient [PERIOD]
smart [AND] wide-eyed [IMPLY] impatient [PERIOD]
smart [IMPLY] rational [PERIOD]
gorgeous [AND] curious [AND] thoughtless [IMPLY] wide-eyed [PERIOD]
impatient [AND] mysterious [IMPLY] aggressive [PERIOD]
impartial [AND] foolish [IMPLY] amused [PERIOD]
mean [AND] tense [IMPLY] attractive [PERIOD]
wide-eyed [AND] amused [AND] tense [IMPLY] condemned [PERIOD]
ugly [AND] ugliest [AND] attractive [IMPLY] gorgeous [PERIOD]
curious [IMPLY] impartial [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   aggressive ⇒ gorgeous
   gorgeous ⇒ polite
",1,2
"Facts:  Alice is exuberant [PERIOD] Alice is wide-eyed [PERIOD] Alice is friendly [PERIOD] Alice is dishonest [PERIOD] Alice is bossy [PERIOD] Alice is intellectual [PERIOD] Alice is popular [PERIOD]
Rules:
easy [AND] victorious [IMPLY] scared [PERIOD]
wide-eyed [AND] foolish [AND] exuberant [IMPLY] bad-tempered [PERIOD]
wide-eyed [AND] scared [IMPLY] bad-tempered [PERIOD]
friendly [IMPLY] cruel [PERIOD]
fancy [AND] cruel [IMPLY] bossy [PERIOD]
Query: Alice is foolish [PERIOD]","Proof chain:
   No rule concludes “foolish.”
",0,1
"Facts:  Alice is inexpensive [PERIOD] Alice is worried [PERIOD] Alice is stormy [PERIOD] Alice is homely [PERIOD] Alice is versatile [PERIOD] Alice is rational [PERIOD]
Rules:
rational [IMPLY] stormy [PERIOD]
versatile [IMPLY] rational [PERIOD]
inexpensive [IMPLY] worried [PERIOD]
versatile [AND] stormy [AND] homely [IMPLY] powerful [PERIOD]
rational [AND] pessimistic [IMPLY] versatile [PERIOD]
old-fashioned [AND] straightforward [IMPLY] naughty [PERIOD]
worried [AND] precious [AND] naughty [IMPLY] straightforward [PERIOD]
pessimistic [AND] naughty [AND] worried [IMPLY] stormy [PERIOD]
rational [AND] old-fashioned [IMPLY] worried [PERIOD]
homely [AND] powerful [AND] versatile [IMPLY] naughty [PERIOD]
rational [AND] inexpensive [AND] stormy [IMPLY] homely [PERIOD]
naughty [AND] old-fashioned [IMPLY] stormy [PERIOD]
homely [AND] rational [IMPLY] powerful [PERIOD]
powerful [IMPLY] worried [PERIOD]
powerful [IMPLY] straightforward [PERIOD]
worried [AND] precious [AND] straightforward [IMPLY] rational [PERIOD]
old-fashioned [AND] worried [AND] inexpensive [IMPLY] straightforward [PERIOD]
versatile [IMPLY] powerful [PERIOD]
inexpensive [AND] pessimistic [IMPLY] old-fashioned [PERIOD]
versatile [IMPLY] straightforward [PERIOD]
precious [AND] pessimistic [IMPLY] naughty [PERIOD]
Query: Alice is rational [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is anxious [PERIOD] Alice is excited [PERIOD] Alice is spotless [PERIOD] Alice is joyous [PERIOD] Alice is lucky [PERIOD] Alice is talented [PERIOD] Alice is long [PERIOD]
Rules:
tidy [AND] spotless [IMPLY] quaint [PERIOD]
talented [AND] crowded [AND] outrageous [IMPLY] anxious [PERIOD]
tidy [AND] crowded [IMPLY] talented [PERIOD]
anxious [AND] gorgeous [IMPLY] tidy [PERIOD]
lucky [AND] talented [IMPLY] gorgeous [PERIOD]
talented [AND] courageous [AND] lucky [IMPLY] outrageous [PERIOD]
anxious [IMPLY] lucky [PERIOD]
outstanding [AND] witty [IMPLY] combative [PERIOD]
combative [AND] courageous [AND] crowded [IMPLY] long [PERIOD]
outstanding [AND] combative [AND] quaint [IMPLY] joyous [PERIOD]
talented [AND] anxious [AND] combative [IMPLY] crowded [PERIOD]
witty [AND] outrageous [IMPLY] glamorous [PERIOD]
combative [AND] outstanding [AND] lucky [IMPLY] joyous [PERIOD]
outstanding [AND] combative [IMPLY] lucky [PERIOD]
combative [AND] lucky [IMPLY] gorgeous [PERIOD]
outrageous [AND] joyous [AND] spotless [IMPLY] wandering [PERIOD]
lucky [IMPLY] witty [PERIOD]
joyous [AND] witty [IMPLY] outrageous [PERIOD]
long [IMPLY] glamorous [PERIOD]
quaint [AND] excited [IMPLY] outstanding [PERIOD]
quaint [AND] gorgeous [AND] combative [IMPLY] spotless [PERIOD]
crowded [AND] quaint [AND] anxious [IMPLY] outrageous [PERIOD]
combative [AND] joyous [AND] talented [IMPLY] courageous [PERIOD]
excited [AND] spotless [IMPLY] combative [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   lucky ∧ talented ⇒ gorgeous
   anxious ∧ gorgeous ⇒ tidy
   tidy ∧ spotless ⇒ quaint
",1,3
"Facts:  Alice is beautiful [PERIOD] Alice is quaint [PERIOD]
Rules:
confused [IMPLY] enchanting [PERIOD]
fine [AND] quaint [AND] crowded [IMPLY] homely [PERIOD]
beautiful [IMPLY] good [PERIOD]
confused [AND] helpless [IMPLY] foolish [PERIOD]
talkative [AND] foolish [AND] homely [IMPLY] curious [PERIOD]
attentive [AND] homely [AND] inquisitive [IMPLY] crowded [PERIOD]
bad-tempered [IMPLY] foolish [PERIOD]
bad-tempered [IMPLY] crowded [PERIOD]
inquisitive [IMPLY] foolish [PERIOD]
crowded [AND] talkative [IMPLY] good [PERIOD]
quaint [AND] attentive [AND] diplomatic [IMPLY] crowded [PERIOD]
homely [IMPLY] talkative [PERIOD]
crowded [IMPLY] fine [PERIOD]
diplomatic [AND] homely [AND] perfect [IMPLY] confused [PERIOD]
hurt [AND] attentive [IMPLY] diplomatic [PERIOD]
homely [IMPLY] hurt [PERIOD]
enchanting [AND] quaint [IMPLY] confused [PERIOD]
curious [IMPLY] good [PERIOD]
confused [AND] talkative [AND] inquisitive [IMPLY] helpless [PERIOD]
diplomatic [IMPLY] homely [PERIOD]
attentive [IMPLY] talkative [PERIOD]
good [AND] crowded [IMPLY] beautiful [PERIOD]
attentive [AND] inexpensive [AND] helpless [IMPLY] talkative [PERIOD]
confused [AND] diplomatic [AND] enchanting [IMPLY] perfect [PERIOD]
bad-tempered [AND] talkative [AND] confused [IMPLY] beautiful [PERIOD]
confused [IMPLY] curious [PERIOD]
curious [AND] inexpensive [IMPLY] diplomatic [PERIOD]
foolish [AND] beautiful [AND] helpless [IMPLY] homely [PERIOD]
quaint [AND] attentive [AND] talkative [IMPLY] beautiful [PERIOD]
good [IMPLY] crowded [PERIOD]
curious [AND] bad-tempered [AND] talkative [IMPLY] perfect [PERIOD]
talkative [AND] crowded [AND] hurt [IMPLY] helpless [PERIOD]
curious [AND] good [AND] attentive [IMPLY] inquisitive [PERIOD]
good [AND] inquisitive [IMPLY] beautiful [PERIOD]
diplomatic [AND] helpless [IMPLY] bad-tempered [PERIOD]
good [AND] fine [AND] perfect [IMPLY] talkative [PERIOD]
beautiful [AND] diplomatic [AND] inexpensive [IMPLY] perfect [PERIOD]
homely [IMPLY] confused [PERIOD]
homely [AND] beautiful [AND] crowded [IMPLY] helpless [PERIOD]
bad-tempered [AND] confused [IMPLY] crowded [PERIOD]
hurt [IMPLY] inexpensive [PERIOD]
inexpensive [AND] curious [IMPLY] inquisitive [PERIOD]
quaint [AND] curious [IMPLY] good [PERIOD]
curious [AND] quaint [IMPLY] inquisitive [PERIOD]
bad-tempered [AND] attentive [AND] homely [IMPLY] enchanting [PERIOD]
crowded [IMPLY] bad-tempered [PERIOD]
diplomatic [AND] inquisitive [IMPLY] good [PERIOD]
beautiful [AND] talkative [AND] curious [IMPLY] fine [PERIOD]
inquisitive [IMPLY] talkative [PERIOD]
good [AND] homely [AND] inexpensive [IMPLY] attentive [PERIOD]
enchanting [AND] attentive [AND] inexpensive [IMPLY] confused [PERIOD]
helpless [AND] good [IMPLY] crowded [PERIOD]
fine [AND] homely [AND] inexpensive [IMPLY] quaint [PERIOD]
perfect [IMPLY] confused [PERIOD]
crowded [IMPLY] homely [PERIOD]
attentive [IMPLY] confused [PERIOD]
Query: Alice is confused [PERIOD]","Proof chain:
   beautiful ⇒ good
   good ⇒ crowded
   crowded ⇒ homely
   homely ⇒ confused
",1,4
"Facts:  Alice is hurt [PERIOD] Alice is bored [PERIOD] Alice is homely [PERIOD] Alice is naughty [PERIOD] Alice is difficult [PERIOD] Alice is ugly [PERIOD] Alice is talented [PERIOD] Alice is vivacious [PERIOD] Alice is weary [PERIOD]
Rules:
naughty [AND] ugly [IMPLY] homely [PERIOD]
bored [AND] vivacious [IMPLY] difficult [PERIOD]
weary [IMPLY] difficult [PERIOD]
vivacious [AND] talented [IMPLY] naughty [PERIOD]
bored [IMPLY] innocent [PERIOD]
talented [IMPLY] weary [PERIOD]
ugly [AND] vivacious [IMPLY] adorable [PERIOD]
hurt [IMPLY] weary [PERIOD]
naughty [AND] hurt [AND] careless [IMPLY] homely [PERIOD]
talented [AND] careless [IMPLY] bored [PERIOD]
vivacious [AND] hurt [IMPLY] innocent [PERIOD]
ugly [AND] talented [IMPLY] bored [PERIOD]
hurt [AND] naughty [IMPLY] vivacious [PERIOD]
weary [AND] naughty [IMPLY] vivacious [PERIOD]
hurt [AND] talented [IMPLY] innocent [PERIOD]
innocent [AND] difficult [AND] naughty [IMPLY] weary [PERIOD]
naughty [IMPLY] innocent [PERIOD]
vivacious [AND] talented [IMPLY] weary [PERIOD]
adorable [AND] weary [IMPLY] bored [PERIOD]
ugly [IMPLY] vivacious [PERIOD]
ugly [AND] talented [IMPLY] weary [PERIOD]
ugly [IMPLY] careless [PERIOD]
naughty [AND] careless [AND] adorable [IMPLY] difficult [PERIOD]
careless [IMPLY] homely [PERIOD]
Query: Alice is vivacious [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is crowded [PERIOD]
Rules:
versatile [AND] weary [AND] cruel [IMPLY] alert [PERIOD]
versatile [IMPLY] cruel [PERIOD]
alert [IMPLY] weary [PERIOD]
versatile [AND] cruel [IMPLY] alert [PERIOD]
crowded [AND] versatile [AND] alert [IMPLY] cruel [PERIOD]
cruel [AND] alert [IMPLY] versatile [PERIOD]
versatile [AND] crowded [IMPLY] weary [PERIOD]
cruel [IMPLY] versatile [PERIOD]
weary [AND] alert [AND] versatile [IMPLY] cruel [PERIOD]
weary [AND] crowded [AND] alert [IMPLY] cruel [PERIOD]
Query: Alice is cruel [PERIOD]","Proof chain:
   Cannot apply rule “versatile ⇒ cruel” because missing: versatile.
   Cannot apply rule “crowded ∧ versatile ∧ alert ⇒ cruel” because missing: versatile, alert.
   Cannot apply rule “weary ∧ alert ∧ versatile ⇒ cruel” because missing: weary, alert, versatile.
   Cannot apply rule “weary ∧ crowded ∧ alert ⇒ cruel” because missing: weary, alert.
",0,4
"Facts:  Alice is reserved [PERIOD] Alice is curious [PERIOD] Alice is bored [PERIOD] Alice is frightened [PERIOD]
Rules:
bored [IMPLY] zealous [PERIOD]
worried [AND] curious [AND] wrong [IMPLY] dishonest [PERIOD]
frightened [AND] worried [AND] zealous [IMPLY] popular [PERIOD]
curious [AND] fearless [AND] wandering [IMPLY] distinct [PERIOD]
distinct [AND] broad-minded [AND] easy [IMPLY] popular [PERIOD]
popular [AND] curious [AND] dishonest [IMPLY] fearless [PERIOD]
wandering [AND] wrong [IMPLY] easy [PERIOD]
fearless [AND] worried [IMPLY] ugliest [PERIOD]
broad-minded [AND] fearless [AND] popular [IMPLY] worried [PERIOD]
sleepy [AND] fearless [IMPLY] popular [PERIOD]
wrong [AND] dishonest [IMPLY] broad-minded [PERIOD]
ugliest [AND] popular [AND] distinct [IMPLY] worried [PERIOD]
frightened [AND] zealous [AND] easy [IMPLY] curious [PERIOD]
Query: Alice is worried [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ∧ fearless ∧ popular ⇒ worried” because missing: broad-minded, fearless, popular.
   Cannot apply rule “ugliest ∧ popular ∧ distinct ⇒ worried” because missing: ugliest, popular, distinct.
",0,2
"Facts: 
Rules:
broad-minded [AND] glamorous [AND] excited [IMPLY] frail [PERIOD]
thoughtful [AND] excited [AND] frail [IMPLY] broad-minded [PERIOD]
glamorous [AND] condemned [AND] excited [IMPLY] frail [PERIOD]
glamorous [AND] broad-minded [IMPLY] frail [PERIOD]
thoughtful [AND] broad-minded [IMPLY] condemned [PERIOD]
excited [AND] frail [AND] glamorous [IMPLY] broad-minded [PERIOD]
thoughtful [AND] condemned [AND] glamorous [IMPLY] broad-minded [PERIOD]
glamorous [AND] frail [AND] thoughtful [IMPLY] excited [PERIOD]
glamorous [AND] broad-minded [AND] condemned [IMPLY] thoughtful [PERIOD]
broad-minded [IMPLY] glamorous [PERIOD]
glamorous [AND] frail [IMPLY] excited [PERIOD]
thoughtful [IMPLY] excited [PERIOD]
frail [AND] glamorous [IMPLY] broad-minded [PERIOD]
condemned [AND] frail [AND] broad-minded [IMPLY] excited [PERIOD]
frail [AND] broad-minded [AND] excited [IMPLY] glamorous [PERIOD]
broad-minded [IMPLY] excited [PERIOD]
excited [AND] thoughtful [IMPLY] frail [PERIOD]
excited [IMPLY] broad-minded [PERIOD]
condemned [AND] excited [IMPLY] glamorous [PERIOD]
condemned [AND] frail [IMPLY] excited [PERIOD]
glamorous [AND] broad-minded [AND] thoughtful [IMPLY] excited [PERIOD]
frail [AND] broad-minded [IMPLY] condemned [PERIOD]
thoughtful [AND] frail [AND] excited [IMPLY] glamorous [PERIOD]
broad-minded [IMPLY] condemned [PERIOD]
Query: Alice is excited [PERIOD]","Proof chain:
   Cannot apply rule “glamorous ∧ frail ∧ thoughtful ⇒ excited” because missing: glamorous, frail, thoughtful.
   Cannot apply rule “glamorous ∧ frail ⇒ excited” because missing: glamorous, frail.
   Cannot apply rule “thoughtful ⇒ excited” because missing: thoughtful.
   Cannot apply rule “condemned ∧ frail ∧ broad-minded ⇒ excited” because missing: condemned, frail, broad-minded.
   Cannot apply rule “broad-minded ⇒ excited” because missing: broad-minded.
   Cannot apply rule “condemned ∧ frail ⇒ excited” because missing: condemned, frail.
   Cannot apply rule “glamorous ∧ broad-minded ∧ thoughtful ⇒ excited” because missing: glamorous, broad-minded, thoughtful.
",0,7
"Facts: 
Rules:
different [AND] thoughtful [AND] attractive [IMPLY] troubled [PERIOD]
thoughtful [IMPLY] troubled [PERIOD]
attractive [AND] outrageous [IMPLY] thoughtful [PERIOD]
attractive [IMPLY] outrageous [PERIOD]
different [AND] troubled [AND] outrageous [IMPLY] thoughtful [PERIOD]
attractive [AND] thoughtful [AND] different [IMPLY] outrageous [PERIOD]
attractive [AND] troubled [IMPLY] outrageous [PERIOD]
thoughtful [AND] attractive [AND] outrageous [IMPLY] different [PERIOD]
thoughtful [IMPLY] attractive [PERIOD]
troubled [AND] attractive [IMPLY] different [PERIOD]
outrageous [IMPLY] thoughtful [PERIOD]
outrageous [AND] troubled [AND] attractive [IMPLY] thoughtful [PERIOD]
different [IMPLY] thoughtful [PERIOD]
troubled [AND] outrageous [AND] thoughtful [IMPLY] different [PERIOD]
outrageous [IMPLY] troubled [PERIOD]
thoughtful [AND] outrageous [IMPLY] attractive [PERIOD]
attractive [AND] thoughtful [IMPLY] troubled [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   Cannot apply rule “different ∧ thoughtful ∧ attractive ⇒ troubled” because missing: different, thoughtful, attractive.
   Cannot apply rule “thoughtful ⇒ troubled” because missing: thoughtful.
   Cannot apply rule “outrageous ⇒ troubled” because missing: outrageous.
   Cannot apply rule “attractive ∧ thoughtful ⇒ troubled” because missing: attractive, thoughtful.
",0,4
"Facts:  Alice is elated [PERIOD] Alice is frightened [PERIOD] Alice is aggressive [PERIOD] Alice is uptight [PERIOD] Alice is confused [PERIOD] Alice is easy [PERIOD] Alice is outrageous [PERIOD] Alice is disgusted [PERIOD]
Rules:
difficult [IMPLY] talented [PERIOD]
aggressive [IMPLY] horrible [PERIOD]
attractive [IMPLY] elated [PERIOD]
elated [AND] frightened [IMPLY] disgusted [PERIOD]
excited [IMPLY] outrageous [PERIOD]
confident [IMPLY] aggressive [PERIOD]
fine [IMPLY] horrible [PERIOD]
outrageous [AND] horrible [IMPLY] ugliest [PERIOD]
aggressive [IMPLY] uptight [PERIOD]
disgusted [AND] attractive [AND] rational [IMPLY] worried [PERIOD]
disgusted [AND] worried [AND] elated [IMPLY] enchanting [PERIOD]
rational [AND] frightened [AND] attractive [IMPLY] victorious [PERIOD]
difficult [IMPLY] outrageous [PERIOD]
excited [IMPLY] disgusted [PERIOD]
aggressive [IMPLY] difficult [PERIOD]
easy [AND] talented [AND] rational [IMPLY] outrageous [PERIOD]
disgusted [IMPLY] attractive [PERIOD]
victorious [IMPLY] aggressive [PERIOD]
confused [AND] horrible [AND] excited [IMPLY] gorgeous [PERIOD]
gorgeous [IMPLY] confident [PERIOD]
rational [AND] excited [IMPLY] confused [PERIOD]
worried [AND] confused [IMPLY] outrageous [PERIOD]
worried [AND] gorgeous [AND] victorious [IMPLY] uptight [PERIOD]
attractive [IMPLY] disgusted [PERIOD]
rational [IMPLY] victorious [PERIOD]
uptight [AND] ugliest [IMPLY] confused [PERIOD]
worried [AND] attractive [AND] aggressive [IMPLY] fine [PERIOD]
fine [AND] elated [AND] outrageous [IMPLY] uptight [PERIOD]
worried [AND] horrible [IMPLY] disgusted [PERIOD]
ugliest [IMPLY] frightened [PERIOD]
worried [AND] aggressive [AND] difficult [IMPLY] talented [PERIOD]
attractive [AND] elated [AND] victorious [IMPLY] uptight [PERIOD]
elated [AND] worried [IMPLY] talented [PERIOD]
worried [AND] frightened [AND] horrible [IMPLY] elated [PERIOD]
easy [AND] worried [AND] elated [IMPLY] talented [PERIOD]
enchanting [AND] easy [IMPLY] gorgeous [PERIOD]
talented [IMPLY] elated [PERIOD]
gorgeous [IMPLY] uptight [PERIOD]
confident [AND] aggressive [IMPLY] enchanting [PERIOD]
fine [IMPLY] elated [PERIOD]
enchanting [AND] talented [AND] fine [IMPLY] attractive [PERIOD]
fine [AND] outrageous [IMPLY] disgusted [PERIOD]
rational [AND] difficult [AND] fine [IMPLY] gorgeous [PERIOD]
ugliest [AND] confused [AND] enchanting [IMPLY] outrageous [PERIOD]
rational [AND] victorious [AND] difficult [IMPLY] uptight [PERIOD]
victorious [AND] attractive [AND] horrible [IMPLY] fine [PERIOD]
disgusted [AND] difficult [AND] attractive [IMPLY] outrageous [PERIOD]
attractive [AND] talented [AND] uptight [IMPLY] gorgeous [PERIOD]
excited [AND] horrible [AND] confident [IMPLY] talented [PERIOD]
frightened [IMPLY] elated [PERIOD]
attractive [IMPLY] fine [PERIOD]
outrageous [AND] confused [IMPLY] talented [PERIOD]
enchanting [AND] ugliest [IMPLY] elated [PERIOD]
fine [AND] victorious [IMPLY] worried [PERIOD]
worried [AND] confident [AND] victorious [IMPLY] outrageous [PERIOD]
enchanting [AND] frightened [IMPLY] confident [PERIOD]
easy [AND] frightened [IMPLY] attractive [PERIOD]
confident [IMPLY] difficult [PERIOD]
enchanting [AND] excited [AND] gorgeous [IMPLY] outrageous [PERIOD]
difficult [IMPLY] horrible [PERIOD]
attractive [AND] victorious [IMPLY] enchanting [PERIOD]
difficult [IMPLY] easy [PERIOD]
elated [AND] confident [AND] worried [IMPLY] easy [PERIOD]
frightened [AND] aggressive [AND] fine [IMPLY] rational [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   disgusted ⇒ attractive
   attractive ⇒ fine
   frightened ∧ aggressive ∧ fine ⇒ rational
   disgusted ⇒ attractive
   rational ∧ frightened ∧ attractive ⇒ victorious
",1,5
"Facts: 
Rules:
strange [AND] curious [AND] attractive [IMPLY] talkative [PERIOD]
worried [AND] cooperative [IMPLY] wandering [PERIOD]
foolish [IMPLY] mysterious [PERIOD]
long [AND] foolish [IMPLY] tired [PERIOD]
thoughtful [AND] quaint [AND] attractive [IMPLY] inexpensive [PERIOD]
popular [AND] disobedient [AND] supportive [IMPLY] long [PERIOD]
curious [AND] popular [AND] attractive [IMPLY] wandering [PERIOD]
elegant [AND] worried [IMPLY] wandering [PERIOD]
mysterious [AND] dishonest [IMPLY] curious [PERIOD]
mean [AND] disobedient [AND] popular [IMPLY] wandering [PERIOD]
dishonest [AND] strange [IMPLY] cooperative [PERIOD]
intellectual [AND] hurt [AND] cooperative [IMPLY] condemned [PERIOD]
foolish [AND] attractive [IMPLY] strange [PERIOD]
thoughtful [AND] talkative [IMPLY] worried [PERIOD]
foolish [AND] inexpensive [IMPLY] popular [PERIOD]
mean [IMPLY] intellectual [PERIOD]
wrong [AND] talkative [IMPLY] charming [PERIOD]
curious [AND] disobedient [IMPLY] dishonest [PERIOD]
condemned [AND] quaint [IMPLY] charming [PERIOD]
worried [IMPLY] wrong [PERIOD]
powerful [IMPLY] curious [PERIOD]
popular [AND] embarrassed [IMPLY] charming [PERIOD]
supportive [AND] long [AND] inexpensive [IMPLY] intellectual [PERIOD]
embarrassed [AND] curious [AND] rational [IMPLY] foolish [PERIOD]
talkative [AND] condemned [AND] attractive [IMPLY] curious [PERIOD]
embarrassed [IMPLY] long [PERIOD]
cooperative [AND] charming [AND] mysterious [IMPLY] powerful [PERIOD]
worried [AND] disobedient [AND] inexpensive [IMPLY] adorable [PERIOD]
wandering [AND] intellectual [AND] thoughtful [IMPLY] supportive [PERIOD]
supportive [AND] wrong [IMPLY] charming [PERIOD]
talkative [AND] curious [IMPLY] disobedient [PERIOD]
inexpensive [IMPLY] condemned [PERIOD]
foolish [AND] thoughtful [IMPLY] intellectual [PERIOD]
elegant [IMPLY] talkative [PERIOD]
wandering [AND] curious [AND] quaint [IMPLY] strange [PERIOD]
hurt [AND] wandering [IMPLY] quaint [PERIOD]
long [AND] talkative [AND] cooperative [IMPLY] worried [PERIOD]
adorable [AND] talkative [IMPLY] wandering [PERIOD]
talkative [IMPLY] mysterious [PERIOD]
powerful [AND] curious [AND] embarrassed [IMPLY] charming [PERIOD]
elegant [AND] wrong [AND] quaint [IMPLY] dishonest [PERIOD]
tired [AND] embarrassed [IMPLY] adorable [PERIOD]
tired [IMPLY] condemned [PERIOD]
charming [IMPLY] powerful [PERIOD]
wrong [AND] tired [AND] condemned [IMPLY] mean [PERIOD]
Query: Alice is dishonest [PERIOD]","Proof chain:
   Cannot apply rule “curious ∧ disobedient ⇒ dishonest” because missing: curious, disobedient.
   Cannot apply rule “elegant ∧ wrong ∧ quaint ⇒ dishonest” because missing: elegant, wrong, quaint.
",0,2
"Facts: 
Rules:
sincere [AND] attractive [IMPLY] sleepy [PERIOD]
long [AND] spotless [AND] sleepy [IMPLY] ambitious [PERIOD]
pleasant [AND] sleepy [IMPLY] clean [PERIOD]
spotless [AND] innocent [IMPLY] diplomatic [PERIOD]
sincere [AND] spotless [IMPLY] long [PERIOD]
attractive [AND] sincere [AND] fearless [IMPLY] diplomatic [PERIOD]
famous [IMPLY] sleepy [PERIOD]
attractive [AND] serious [AND] spotless [IMPLY] naughty [PERIOD]
inquisitive [AND] exuberant [IMPLY] spotless [PERIOD]
powerful [AND] ambitious [IMPLY] enchanting [PERIOD]
sleepy [IMPLY] inquisitive [PERIOD]
long [AND] naughty [IMPLY] sleepy [PERIOD]
innocent [AND] inquisitive [AND] agreeable [IMPLY] enchanting [PERIOD]
agreeable [AND] beautiful [IMPLY] innocent [PERIOD]
famous [AND] pleasant [AND] ambitious [IMPLY] beautiful [PERIOD]
beautiful [IMPLY] clean [PERIOD]
diplomatic [AND] powerful [AND] fearless [IMPLY] famous [PERIOD]
enchanting [AND] long [IMPLY] inquisitive [PERIOD]
famous [AND] enchanting [AND] attractive [IMPLY] beautiful [PERIOD]
sincere [IMPLY] sleepy [PERIOD]
diplomatic [AND] serious [IMPLY] long [PERIOD]
attractive [AND] clean [AND] diplomatic [IMPLY] enchanting [PERIOD]
amused [AND] sincere [AND] clean [IMPLY] agreeable [PERIOD]
sincere [IMPLY] clean [PERIOD]
innocent [AND] ambitious [AND] long [IMPLY] enchanting [PERIOD]
famous [AND] ambitious [IMPLY] sincere [PERIOD]
clean [AND] diplomatic [AND] beautiful [IMPLY] naughty [PERIOD]
inquisitive [AND] sleepy [IMPLY] ambitious [PERIOD]
innocent [AND] spotless [AND] agreeable [IMPLY] serious [PERIOD]
serious [AND] enchanting [IMPLY] inquisitive [PERIOD]
long [AND] beautiful [AND] spotless [IMPLY] enchanting [PERIOD]
enchanting [AND] diplomatic [AND] inquisitive [IMPLY] fearless [PERIOD]
inquisitive [IMPLY] diplomatic [PERIOD]
clean [IMPLY] enchanting [PERIOD]
enchanting [IMPLY] clean [PERIOD]
enchanting [IMPLY] spotless [PERIOD]
sleepy [AND] innocent [IMPLY] spotless [PERIOD]
powerful [IMPLY] enchanting [PERIOD]
pleasant [IMPLY] long [PERIOD]
agreeable [AND] enchanting [AND] amused [IMPLY] beautiful [PERIOD]
beautiful [AND] enchanting [AND] serious [IMPLY] spotless [PERIOD]
attractive [AND] innocent [AND] enchanting [IMPLY] famous [PERIOD]
long [IMPLY] ambitious [PERIOD]
fearless [AND] exuberant [IMPLY] long [PERIOD]
ambitious [AND] amused [AND] diplomatic [IMPLY] beautiful [PERIOD]
attractive [AND] powerful [AND] sleepy [IMPLY] agreeable [PERIOD]
diplomatic [AND] innocent [AND] fearless [IMPLY] attractive [PERIOD]
clean [IMPLY] diplomatic [PERIOD]
powerful [AND] pleasant [AND] exuberant [IMPLY] fearless [PERIOD]
ambitious [IMPLY] fearless [PERIOD]
pleasant [AND] agreeable [AND] enchanting [IMPLY] spotless [PERIOD]
sleepy [AND] long [IMPLY] amused [PERIOD]
sincere [IMPLY] famous [PERIOD]
beautiful [AND] sincere [IMPLY] powerful [PERIOD]
amused [AND] pleasant [IMPLY] long [PERIOD]
famous [AND] exuberant [AND] serious [IMPLY] spotless [PERIOD]
spotless [AND] amused [IMPLY] powerful [PERIOD]
diplomatic [IMPLY] ambitious [PERIOD]
pleasant [IMPLY] innocent [PERIOD]
pleasant [AND] inquisitive [AND] exuberant [IMPLY] ambitious [PERIOD]
attractive [AND] diplomatic [AND] exuberant [IMPLY] sincere [PERIOD]
long [AND] agreeable [AND] fearless [IMPLY] ambitious [PERIOD]
sleepy [IMPLY] innocent [PERIOD]
Query: Alice is ambitious [PERIOD]","Proof chain:
   Cannot apply rule “long ∧ spotless ∧ sleepy ⇒ ambitious” because missing: long, spotless, sleepy.
   Cannot apply rule “inquisitive ∧ sleepy ⇒ ambitious” because missing: inquisitive, sleepy.
   Cannot apply rule “long ⇒ ambitious” because missing: long.
   Cannot apply rule “diplomatic ⇒ ambitious” because missing: diplomatic.
   Cannot apply rule “pleasant ∧ inquisitive ∧ exuberant ⇒ ambitious” because missing: pleasant, inquisitive, exuberant.
   Cannot apply rule “long ∧ agreeable ∧ fearless ⇒ ambitious” because missing: long, agreeable, fearless.
",0,6
"Facts:  Alice is gleaming [PERIOD] Alice is anxious [PERIOD]
Rules:
quaint [AND] dishonest [AND] anxious [IMPLY] gorgeous [PERIOD]
quaint [AND] gorgeous [IMPLY] talented [PERIOD]
talented [AND] quaint [AND] gleaming [IMPLY] tired [PERIOD]
talented [AND] gleaming [AND] dishonest [IMPLY] tired [PERIOD]
anxious [AND] gorgeous [AND] gleaming [IMPLY] dishonest [PERIOD]
gleaming [IMPLY] quaint [PERIOD]
gleaming [AND] tired [AND] gorgeous [IMPLY] talented [PERIOD]
dishonest [IMPLY] quaint [PERIOD]
gorgeous [IMPLY] gleaming [PERIOD]
tired [AND] talented [IMPLY] quaint [PERIOD]
anxious [AND] talented [AND] gorgeous [IMPLY] gleaming [PERIOD]
talented [AND] tired [AND] gleaming [IMPLY] anxious [PERIOD]
tired [IMPLY] gorgeous [PERIOD]
talented [IMPLY] gleaming [PERIOD]
anxious [AND] gleaming [AND] dishonest [IMPLY] gorgeous [PERIOD]
talented [AND] dishonest [AND] quaint [IMPLY] gorgeous [PERIOD]
talented [AND] quaint [IMPLY] gleaming [PERIOD]
anxious [AND] dishonest [AND] tired [IMPLY] gorgeous [PERIOD]
gorgeous [AND] tired [IMPLY] quaint [PERIOD]
anxious [IMPLY] quaint [PERIOD]
dishonest [IMPLY] anxious [PERIOD]
tired [IMPLY] quaint [PERIOD]
tired [AND] dishonest [AND] gleaming [IMPLY] talented [PERIOD]
talented [IMPLY] tired [PERIOD]
Query: Alice is gorgeous [PERIOD]","Proof chain:
   anxious ⇒ quaint
   Cannot apply rule “quaint ∧ dishonest ∧ anxious ⇒ gorgeous” because missing: dishonest.
   Cannot apply rule “tired ⇒ gorgeous” because missing: tired.
   Cannot apply rule “anxious ∧ gleaming ∧ dishonest ⇒ gorgeous” because missing: dishonest.
   anxious ⇒ quaint
   Cannot apply rule “talented ∧ dishonest ∧ quaint ⇒ gorgeous” because missing: talented, dishonest.
   Cannot apply rule “anxious ∧ dishonest ∧ tired ⇒ gorgeous” because missing: dishonest, tired.
",0,7
"Facts:  Alice is stormy [PERIOD]
Rules:
stormy [AND] gorgeous [AND] precious [IMPLY] sincere [PERIOD]
glamorous [AND] precious [AND] stormy [IMPLY] old-fashioned [PERIOD]
selfish [AND] precious [AND] sincere [IMPLY] gorgeous [PERIOD]
old-fashioned [IMPLY] sincere [PERIOD]
selfish [IMPLY] precious [PERIOD]
selfish [IMPLY] glamorous [PERIOD]
glamorous [AND] precious [AND] gorgeous [IMPLY] selfish [PERIOD]
sincere [AND] glamorous [IMPLY] old-fashioned [PERIOD]
selfish [IMPLY] stormy [PERIOD]
sincere [AND] old-fashioned [IMPLY] gorgeous [PERIOD]
old-fashioned [AND] selfish [IMPLY] precious [PERIOD]
selfish [AND] gorgeous [IMPLY] sincere [PERIOD]
sincere [IMPLY] precious [PERIOD]
old-fashioned [IMPLY] selfish [PERIOD]
old-fashioned [AND] gorgeous [IMPLY] precious [PERIOD]
old-fashioned [IMPLY] glamorous [PERIOD]
precious [AND] stormy [AND] old-fashioned [IMPLY] glamorous [PERIOD]
stormy [AND] old-fashioned [AND] gorgeous [IMPLY] selfish [PERIOD]
precious [IMPLY] selfish [PERIOD]
old-fashioned [AND] gorgeous [AND] stormy [IMPLY] glamorous [PERIOD]
stormy [IMPLY] selfish [PERIOD]
sincere [AND] gorgeous [AND] old-fashioned [IMPLY] stormy [PERIOD]
Query: Alice is sincere [PERIOD]","Proof chain:
   stormy ⇒ selfish
   selfish ⇒ glamorous
   stormy ⇒ selfish
   selfish ⇒ precious
   glamorous ∧ precious ∧ stormy ⇒ old-fashioned
   old-fashioned ⇒ sincere
",1,6
"Facts:  Alice is thoughtful [PERIOD]
Rules:
impartial [IMPLY] gifted [PERIOD]
gifted [IMPLY] pessimistic [PERIOD]
attractive [AND] weary [AND] pessimistic [IMPLY] fragile [PERIOD]
weary [IMPLY] thoughtful [PERIOD]
helpless [AND] loving [AND] pessimistic [IMPLY] attractive [PERIOD]
troubled [AND] pessimistic [IMPLY] fragile [PERIOD]
tense [AND] shy [AND] weary [IMPLY] helpless [PERIOD]
gifted [IMPLY] attractive [PERIOD]
helpless [IMPLY] fragile [PERIOD]
impartial [AND] foolish [AND] gifted [IMPLY] weary [PERIOD]
weary [AND] impartial [IMPLY] foolish [PERIOD]
thoughtful [AND] gifted [AND] tense [IMPLY] pessimistic [PERIOD]
gifted [AND] impartial [AND] weary [IMPLY] loving [PERIOD]
troubled [AND] impartial [IMPLY] thoughtful [PERIOD]
thoughtful [AND] foolish [AND] pessimistic [IMPLY] helpless [PERIOD]
pessimistic [AND] impartial [AND] helpless [IMPLY] loving [PERIOD]
troubled [AND] attractive [IMPLY] gifted [PERIOD]
loving [AND] foolish [AND] fragile [IMPLY] tense [PERIOD]
impartial [IMPLY] helpless [PERIOD]
thoughtful [IMPLY] attractive [PERIOD]
helpless [AND] attractive [IMPLY] weary [PERIOD]
shy [AND] thoughtful [IMPLY] pessimistic [PERIOD]
loving [AND] foolish [AND] impartial [IMPLY] fragile [PERIOD]
pessimistic [AND] attractive [IMPLY] shy [PERIOD]
helpless [AND] impartial [IMPLY] gifted [PERIOD]
loving [AND] foolish [IMPLY] impartial [PERIOD]
gifted [AND] helpless [IMPLY] loving [PERIOD]
loving [AND] fragile [IMPLY] attractive [PERIOD]
attractive [IMPLY] weary [PERIOD]
fragile [AND] thoughtful [IMPLY] tense [PERIOD]
shy [IMPLY] impartial [PERIOD]
tense [AND] pessimistic [IMPLY] troubled [PERIOD]
fragile [IMPLY] gifted [PERIOD]
troubled [IMPLY] gifted [PERIOD]
shy [AND] fragile [AND] pessimistic [IMPLY] impartial [PERIOD]
troubled [AND] impartial [AND] pessimistic [IMPLY] fragile [PERIOD]
shy [AND] attractive [AND] gifted [IMPLY] thoughtful [PERIOD]
troubled [AND] foolish [AND] impartial [IMPLY] gifted [PERIOD]
loving [AND] fragile [AND] attractive [IMPLY] foolish [PERIOD]
helpless [AND] thoughtful [IMPLY] pessimistic [PERIOD]
Query: Alice is gifted [PERIOD]","Proof chain:
   Cannot apply rule “impartial ⇒ gifted” because missing: impartial.
   thoughtful ⇒ attractive
   Cannot apply rule “troubled ∧ attractive ⇒ gifted” because missing: troubled.
   Cannot apply rule “helpless ∧ impartial ⇒ gifted” because missing: helpless, impartial.
   Cannot apply rule “fragile ⇒ gifted” because missing: fragile.
   Cannot apply rule “troubled ⇒ gifted” because missing: troubled.
   Cannot apply rule “troubled ∧ foolish ∧ impartial ⇒ gifted” because missing: troubled, foolish, impartial.
",0,7
"Facts:  Alice is smart [PERIOD] Alice is different [PERIOD] Alice is exuberant [PERIOD] Alice is troubled [PERIOD]
Rules:
thoughtless [AND] frightened [IMPLY] inquisitive [PERIOD]
thoughtless [IMPLY] versatile [PERIOD]
exuberant [AND] fearless [AND] troubled [IMPLY] busy [PERIOD]
dull [AND] talented [IMPLY] serious [PERIOD]
talented [IMPLY] attractive [PERIOD]
homely [AND] thoughtless [AND] vivacious [IMPLY] exuberant [PERIOD]
frightened [IMPLY] thoughtless [PERIOD]
inquisitive [AND] attractive [IMPLY] serious [PERIOD]
precious [AND] serious [IMPLY] frightened [PERIOD]
busy [AND] vivacious [AND] reserved [IMPLY] victorious [PERIOD]
inquisitive [AND] combative [IMPLY] dull [PERIOD]
smart [AND] shiny [AND] troubled [IMPLY] precious [PERIOD]
thoughtless [AND] reserved [AND] elated [IMPLY] troubled [PERIOD]
frightened [AND] fearless [AND] courageous [IMPLY] attractive [PERIOD]
reserved [AND] troubled [AND] fearless [IMPLY] courageous [PERIOD]
homely [AND] victorious [AND] busy [IMPLY] different [PERIOD]
elated [AND] frightened [IMPLY] exuberant [PERIOD]
victorious [AND] fearless [IMPLY] elated [PERIOD]
attractive [AND] precious [AND] vivacious [IMPLY] combative [PERIOD]
inquisitive [AND] combative [IMPLY] different [PERIOD]
victorious [AND] combative [AND] nervous [IMPLY] versatile [PERIOD]
fearless [AND] victorious [IMPLY] different [PERIOD]
thoughtless [IMPLY] reserved [PERIOD]
courageous [AND] troubled [IMPLY] talented [PERIOD]
nervous [IMPLY] precious [PERIOD]
exuberant [IMPLY] thoughtless [PERIOD]
frightened [AND] elated [IMPLY] homely [PERIOD]
different [IMPLY] reserved [PERIOD]
inquisitive [AND] homely [IMPLY] fearless [PERIOD]
troubled [IMPLY] dull [PERIOD]
fearless [AND] dull [AND] victorious [IMPLY] nervous [PERIOD]
nervous [AND] versatile [IMPLY] shiny [PERIOD]
fearless [AND] troubled [AND] dull [IMPLY] inquisitive [PERIOD]
dull [IMPLY] elated [PERIOD]
reserved [AND] elated [IMPLY] exuberant [PERIOD]
courageous [AND] precious [AND] homely [IMPLY] fearless [PERIOD]
versatile [AND] dull [IMPLY] talented [PERIOD]
busy [AND] different [AND] reserved [IMPLY] nervous [PERIOD]
victorious [IMPLY] versatile [PERIOD]
different [AND] busy [IMPLY] combative [PERIOD]
talented [IMPLY] shiny [PERIOD]
victorious [AND] precious [IMPLY] fearless [PERIOD]
thoughtless [AND] nervous [AND] troubled [IMPLY] shiny [PERIOD]
courageous [AND] shiny [AND] serious [IMPLY] reserved [PERIOD]
elated [AND] attractive [AND] thoughtless [IMPLY] shiny [PERIOD]
exuberant [IMPLY] troubled [PERIOD]
courageous [AND] attractive [IMPLY] serious [PERIOD]
vivacious [AND] versatile [AND] victorious [IMPLY] smart [PERIOD]
smart [AND] homely [AND] combative [IMPLY] different [PERIOD]
homely [AND] troubled [IMPLY] nervous [PERIOD]
busy [IMPLY] frightened [PERIOD]
versatile [AND] victorious [IMPLY] talented [PERIOD]
serious [IMPLY] combative [PERIOD]
frightened [AND] talented [IMPLY] smart [PERIOD]
fearless [AND] talented [IMPLY] combative [PERIOD]
troubled [AND] talented [IMPLY] fearless [PERIOD]
attractive [AND] fearless [AND] combative [IMPLY] victorious [PERIOD]
homely [AND] busy [IMPLY] reserved [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   exuberant ⇒ thoughtless
   thoughtless ⇒ versatile
   troubled ⇒ dull
   versatile ∧ dull ⇒ talented
   talented ⇒ attractive
",1,5
"Facts:  Alice is beautiful [PERIOD] Alice is difficult [PERIOD]
Rules:
elated [AND] exuberant [AND] courageous [IMPLY] grumpy [PERIOD]
homely [AND] innocent [IMPLY] crowded [PERIOD]
tidy [AND] worried [IMPLY] talkative [PERIOD]
talkative [AND] frantic [IMPLY] mysterious [PERIOD]
talkative [IMPLY] homely [PERIOD]
beautiful [AND] exuberant [AND] courageous [IMPLY] ambitious [PERIOD]
difficult [AND] mysterious [AND] thoughtless [IMPLY] innocent [PERIOD]
innocent [AND] proud [AND] tidy [IMPLY] difficult [PERIOD]
talkative [AND] crowded [IMPLY] difficult [PERIOD]
exuberant [IMPLY] mysterious [PERIOD]
courageous [AND] powerful [AND] diplomatic [IMPLY] crowded [PERIOD]
diplomatic [AND] dishonest [IMPLY] anxious [PERIOD]
frantic [IMPLY] courageous [PERIOD]
innocent [IMPLY] famous [PERIOD]
powerful [AND] talkative [AND] anxious [IMPLY] homely [PERIOD]
beautiful [AND] difficult [AND] attractive [IMPLY] anxious [PERIOD]
proud [AND] innocent [IMPLY] tidy [PERIOD]
courageous [IMPLY] dishonest [PERIOD]
tidy [AND] elated [AND] proud [IMPLY] diplomatic [PERIOD]
mysterious [IMPLY] worried [PERIOD]
tense [IMPLY] crowded [PERIOD]
difficult [IMPLY] courageous [PERIOD]
thoughtless [AND] talkative [IMPLY] innocent [PERIOD]
mysterious [AND] diplomatic [AND] innocent [IMPLY] beautiful [PERIOD]
diplomatic [AND] mysterious [IMPLY] tidy [PERIOD]
elated [AND] grumpy [IMPLY] thoughtless [PERIOD]
ambitious [AND] tense [IMPLY] courageous [PERIOD]
difficult [IMPLY] cruel [PERIOD]
proud [AND] crowded [AND] tidy [IMPLY] ugly [PERIOD]
cruel [AND] thoughtless [AND] talkative [IMPLY] difficult [PERIOD]
grumpy [AND] courageous [IMPLY] famous [PERIOD]
proud [IMPLY] worried [PERIOD]
tense [AND] elated [IMPLY] ugly [PERIOD]
talkative [AND] difficult [IMPLY] tidy [PERIOD]
attractive [IMPLY] frantic [PERIOD]
crowded [AND] anxious [IMPLY] ugly [PERIOD]
famous [IMPLY] ugly [PERIOD]
ugly [IMPLY] proud [PERIOD]
exuberant [AND] famous [IMPLY] tidy [PERIOD]
dishonest [IMPLY] attractive [PERIOD]
talkative [IMPLY] dishonest [PERIOD]
powerful [IMPLY] ugly [PERIOD]
difficult [AND] homely [IMPLY] dishonest [PERIOD]
proud [IMPLY] anxious [PERIOD]
worried [AND] innocent [AND] diplomatic [IMPLY] cruel [PERIOD]
tidy [AND] powerful [IMPLY] frantic [PERIOD]
tense [IMPLY] cruel [PERIOD]
innocent [AND] frantic [AND] cruel [IMPLY] diplomatic [PERIOD]
beautiful [AND] grumpy [IMPLY] famous [PERIOD]
thoughtless [AND] tidy [AND] powerful [IMPLY] ambitious [PERIOD]
elated [IMPLY] thoughtless [PERIOD]
dishonest [AND] homely [IMPLY] attractive [PERIOD]
frantic [AND] difficult [IMPLY] anxious [PERIOD]
homely [AND] difficult [IMPLY] ugly [PERIOD]
worried [AND] talkative [AND] anxious [IMPLY] thoughtless [PERIOD]
worried [IMPLY] tidy [PERIOD]
mysterious [AND] grumpy [AND] homely [IMPLY] courageous [PERIOD]
worried [AND] courageous [AND] beautiful [IMPLY] attractive [PERIOD]
famous [IMPLY] powerful [PERIOD]
dishonest [AND] anxious [IMPLY] powerful [PERIOD]
tidy [AND] worried [IMPLY] ambitious [PERIOD]
elated [AND] crowded [IMPLY] cruel [PERIOD]
ambitious [IMPLY] crowded [PERIOD]
difficult [AND] talkative [IMPLY] mysterious [PERIOD]
tense [AND] proud [AND] innocent [IMPLY] homely [PERIOD]
thoughtless [IMPLY] grumpy [PERIOD]
tense [AND] talkative [IMPLY] crowded [PERIOD]
attractive [IMPLY] thoughtless [PERIOD]
homely [AND] innocent [AND] tense [IMPLY] mysterious [PERIOD]
innocent [AND] courageous [IMPLY] famous [PERIOD]
ambitious [AND] dishonest [AND] famous [IMPLY] ugly [PERIOD]
Query: Alice is famous [PERIOD]","Proof chain:
   difficult ⇒ courageous
   courageous ⇒ dishonest
   dishonest ⇒ attractive
   attractive ⇒ thoughtless
   thoughtless ⇒ grumpy
   difficult ⇒ courageous
   grumpy ∧ courageous ⇒ famous
",1,7
"Facts:  Alice is sensible [PERIOD] Alice is calm [PERIOD] Alice is popular [PERIOD] Alice is attentive [PERIOD] Alice is grumpy [PERIOD]
Rules:
plain [AND] serious [AND] calm [IMPLY] sensible [PERIOD]
adorable [AND] worrisome [IMPLY] comfortable [PERIOD]
popular [AND] serious [IMPLY] worrisome [PERIOD]
worrisome [AND] ambitious [AND] calm [IMPLY] serious [PERIOD]
plain [IMPLY] grumpy [PERIOD]
attentive [AND] adorable [IMPLY] popular [PERIOD]
troubled [AND] plain [IMPLY] popular [PERIOD]
ambitious [AND] calm [AND] sensible [IMPLY] comfortable [PERIOD]
plain [AND] grumpy [IMPLY] serious [PERIOD]
troubled [AND] ambitious [IMPLY] popular [PERIOD]
attentive [IMPLY] troubled [PERIOD]
calm [IMPLY] popular [PERIOD]
calm [AND] worrisome [AND] serious [IMPLY] popular [PERIOD]
worrisome [IMPLY] ambitious [PERIOD]
comfortable [IMPLY] troubled [PERIOD]
adorable [IMPLY] popular [PERIOD]
popular [AND] grumpy [AND] adorable [IMPLY] ambitious [PERIOD]
plain [AND] serious [AND] troubled [IMPLY] popular [PERIOD]
worrisome [AND] calm [IMPLY] ambitious [PERIOD]
worrisome [AND] adorable [IMPLY] calm [PERIOD]
worrisome [AND] troubled [IMPLY] sensible [PERIOD]
worrisome [AND] adorable [IMPLY] ambitious [PERIOD]
sensible [AND] adorable [IMPLY] ambitious [PERIOD]
attentive [IMPLY] worrisome [PERIOD]
calm [AND] adorable [IMPLY] troubled [PERIOD]
adorable [AND] grumpy [IMPLY] comfortable [PERIOD]
troubled [IMPLY] grumpy [PERIOD]
plain [IMPLY] calm [PERIOD]
worrisome [AND] serious [AND] troubled [IMPLY] sensible [PERIOD]
calm [AND] attentive [AND] adorable [IMPLY] worrisome [PERIOD]
plain [AND] comfortable [AND] grumpy [IMPLY] sensible [PERIOD]
serious [AND] calm [AND] popular [IMPLY] plain [PERIOD]
worrisome [AND] adorable [AND] comfortable [IMPLY] attentive [PERIOD]
calm [IMPLY] comfortable [PERIOD]
calm [AND] grumpy [IMPLY] comfortable [PERIOD]
ambitious [IMPLY] comfortable [PERIOD]
attentive [AND] popular [AND] troubled [IMPLY] worrisome [PERIOD]
ambitious [AND] calm [IMPLY] adorable [PERIOD]
plain [AND] grumpy [AND] serious [IMPLY] popular [PERIOD]
grumpy [AND] comfortable [IMPLY] popular [PERIOD]
calm [AND] plain [AND] attentive [IMPLY] grumpy [PERIOD]
comfortable [AND] serious [IMPLY] attentive [PERIOD]
attentive [AND] troubled [IMPLY] grumpy [PERIOD]
serious [AND] adorable [IMPLY] grumpy [PERIOD]
ambitious [AND] calm [IMPLY] attentive [PERIOD]
comfortable [AND] adorable [AND] plain [IMPLY] ambitious [PERIOD]
comfortable [AND] sensible [AND] calm [IMPLY] plain [PERIOD]
calm [IMPLY] worrisome [PERIOD]
Query: Alice is serious [PERIOD]","Proof chain:
   attentive ⇒ worrisome
   attentive ⇒ worrisome
   worrisome ⇒ ambitious
   worrisome ∧ ambitious ∧ calm ⇒ serious
",1,4
"Facts: 
Rules:
comfortable [IMPLY] fragile [PERIOD]
enchanting [AND] mean [IMPLY] plain [PERIOD]
mean [AND] clean [AND] calm [IMPLY] frightened [PERIOD]
good [IMPLY] comfortable [PERIOD]
homely [IMPLY] mean [PERIOD]
frightened [AND] innocent [AND] mean [IMPLY] good [PERIOD]
messy [IMPLY] straightforward [PERIOD]
inquisitive [AND] messy [AND] straightforward [IMPLY] plain [PERIOD]
unpleasant [AND] calm [AND] frightened [IMPLY] mean [PERIOD]
calm [AND] naughty [AND] straightforward [IMPLY] enchanting [PERIOD]
calm [AND] frightened [IMPLY] fragile [PERIOD]
homely [AND] straightforward [AND] innocent [IMPLY] clean [PERIOD]
mean [IMPLY] comfortable [PERIOD]
inquisitive [AND] light [IMPLY] comfortable [PERIOD]
thoughtless [IMPLY] plain [PERIOD]
light [IMPLY] innocent [PERIOD]
light [AND] straightforward [IMPLY] plain [PERIOD]
thoughtless [AND] good [AND] fragile [IMPLY] comfortable [PERIOD]
naughty [AND] comfortable [AND] innocent [IMPLY] light [PERIOD]
mean [IMPLY] calm [PERIOD]
comfortable [AND] innocent [IMPLY] homely [PERIOD]
mean [IMPLY] messy [PERIOD]
light [IMPLY] thoughtless [PERIOD]
straightforward [IMPLY] comfortable [PERIOD]
good [IMPLY] mean [PERIOD]
thoughtless [AND] clean [AND] comfortable [IMPLY] fragile [PERIOD]
mean [AND] naughty [AND] comfortable [IMPLY] straightforward [PERIOD]
frightened [AND] innocent [IMPLY] plain [PERIOD]
good [IMPLY] straightforward [PERIOD]
unpleasant [AND] good [AND] clean [IMPLY] plain [PERIOD]
messy [IMPLY] light [PERIOD]
thoughtless [AND] inquisitive [AND] comfortable [IMPLY] plain [PERIOD]
calm [AND] homely [AND] good [IMPLY] frightened [PERIOD]
frightened [AND] homely [AND] fragile [IMPLY] messy [PERIOD]
messy [IMPLY] calm [PERIOD]
messy [AND] naughty [AND] fragile [IMPLY] good [PERIOD]
inquisitive [AND] straightforward [AND] plain [IMPLY] messy [PERIOD]
innocent [AND] thoughtless [IMPLY] homely [PERIOD]
messy [IMPLY] naughty [PERIOD]
mean [AND] messy [AND] clean [IMPLY] unpleasant [PERIOD]
inquisitive [AND] fragile [IMPLY] enchanting [PERIOD]
innocent [AND] inquisitive [IMPLY] thoughtless [PERIOD]
inquisitive [AND] calm [AND] homely [IMPLY] enchanting [PERIOD]
light [IMPLY] inquisitive [PERIOD]
light [IMPLY] unpleasant [PERIOD]
innocent [AND] good [AND] naughty [IMPLY] mean [PERIOD]
thoughtless [IMPLY] good [PERIOD]
thoughtless [AND] light [AND] inquisitive [IMPLY] enchanting [PERIOD]
mean [IMPLY] homely [PERIOD]
good [IMPLY] fragile [PERIOD]
naughty [AND] comfortable [IMPLY] enchanting [PERIOD]
good [IMPLY] light [PERIOD]
clean [IMPLY] naughty [PERIOD]
Query: Alice is frightened [PERIOD]","Proof chain:
   Cannot apply rule “mean ∧ clean ∧ calm ⇒ frightened” because missing: mean, clean, calm.
   Cannot apply rule “calm ∧ homely ∧ good ⇒ frightened” because missing: calm, homely, good.
",0,2
"Facts:  Alice is rational [PERIOD] Alice is frightened [PERIOD] Alice is charming [PERIOD] Alice is excited [PERIOD] Alice is dull [PERIOD] Alice is elegant [PERIOD] Alice is serious [PERIOD] Alice is cooperative [PERIOD] Alice is sensible [PERIOD]
Rules:
rational [AND] adorable [AND] exuberant [IMPLY] sensible [PERIOD]
adorable [IMPLY] gifted [PERIOD]
comfortable [AND] cooperative [IMPLY] rational [PERIOD]
serious [IMPLY] rational [PERIOD]
elegant [AND] joyous [AND] charming [IMPLY] gleaming [PERIOD]
sensible [IMPLY] joyous [PERIOD]
cooperative [AND] excited [IMPLY] adorable [PERIOD]
serious [IMPLY] exuberant [PERIOD]
comfortable [AND] excited [IMPLY] cooperative [PERIOD]
dull [AND] adorable [IMPLY] comfortable [PERIOD]
rational [AND] serious [AND] dull [IMPLY] modern [PERIOD]
modern [AND] vivacious [AND] serious [IMPLY] gifted [PERIOD]
excited [AND] elegant [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] joyous [PERIOD]
modern [AND] excited [AND] gleaming [IMPLY] cooperative [PERIOD]
sensible [IMPLY] comfortable [PERIOD]
joyous [AND] frightened [AND] rational [IMPLY] dull [PERIOD]
excited [AND] serious [IMPLY] modern [PERIOD]
serious [IMPLY] charming [PERIOD]
comfortable [IMPLY] exuberant [PERIOD]
cooperative [IMPLY] exuberant [PERIOD]
dull [AND] elegant [IMPLY] exuberant [PERIOD]
Query: Alice is gleaming [PERIOD]","Proof chain:
   sensible ⇒ joyous
   elegant ∧ joyous ∧ charming ⇒ gleaming
",1,2
"Facts:  Alice is versatile [PERIOD] Alice is calm [PERIOD] Alice is comfortable [PERIOD] Alice is tender [PERIOD]
Rules:
tired [IMPLY] impartial [PERIOD]
hurt [AND] tired [AND] loving [IMPLY] tender [PERIOD]
calm [AND] exuberant [IMPLY] lucky [PERIOD]
frail [IMPLY] versatile [PERIOD]
perfect [AND] tired [IMPLY] joyous [PERIOD]
frail [AND] grumpy [AND] hurt [IMPLY] impartial [PERIOD]
tender [AND] comfortable [AND] calm [IMPLY] perfect [PERIOD]
loving [AND] lucky [IMPLY] comfortable [PERIOD]
tired [AND] comfortable [AND] impartial [IMPLY] exuberant [PERIOD]
frail [AND] hurt [AND] grumpy [IMPLY] loving [PERIOD]
calm [AND] versatile [AND] cute [IMPLY] mean [PERIOD]
comfortable [IMPLY] impartial [PERIOD]
hurt [AND] wide-eyed [IMPLY] calm [PERIOD]
cute [AND] calm [IMPLY] tired [PERIOD]
calm [IMPLY] impartial [PERIOD]
exuberant [AND] grumpy [AND] impartial [IMPLY] lucky [PERIOD]
loving [IMPLY] mean [PERIOD]
tender [AND] joyous [AND] ugly [IMPLY] mean [PERIOD]
mean [AND] calm [IMPLY] stubborn [PERIOD]
witty [IMPLY] tired [PERIOD]
joyous [AND] stubborn [IMPLY] wide-eyed [PERIOD]
tender [IMPLY] tired [PERIOD]
perfect [IMPLY] versatile [PERIOD]
tender [AND] perfect [IMPLY] grumpy [PERIOD]
Query: Alice is exuberant [PERIOD]","Proof chain:
   tender ⇒ tired
   calm ⇒ impartial
   tired ∧ comfortable ∧ impartial ⇒ exuberant
",1,3
"Facts:  Alice is broad-minded [PERIOD] Alice is adorable [PERIOD]
Rules:
crowded [IMPLY] broad-minded [PERIOD]
intellectual [AND] impatient [IMPLY] broad-minded [PERIOD]
bright [AND] crowded [IMPLY] hurt [PERIOD]
glamorous [AND] impatient [IMPLY] broad-minded [PERIOD]
curious [AND] broad-minded [AND] cruel [IMPLY] crowded [PERIOD]
zealous [IMPLY] bright [PERIOD]
hurt [AND] victorious [IMPLY] talkative [PERIOD]
glamorous [AND] bored [AND] intellectual [IMPLY] bright [PERIOD]
cooperative [IMPLY] mysterious [PERIOD]
bossy [AND] dull [AND] talkative [IMPLY] nervous [PERIOD]
talkative [AND] broad-minded [IMPLY] reserved [PERIOD]
adorable [AND] reserved [IMPLY] talkative [PERIOD]
bright [IMPLY] zealous [PERIOD]
bossy [AND] victorious [AND] intellectual [IMPLY] impatient [PERIOD]
zealous [IMPLY] glamorous [PERIOD]
mysterious [IMPLY] glamorous [PERIOD]
average [AND] bossy [IMPLY] mysterious [PERIOD]
dull [AND] intellectual [AND] cooperative [IMPLY] curious [PERIOD]
mysterious [AND] weary [IMPLY] fragile [PERIOD]
victorious [AND] adorable [AND] intellectual [IMPLY] nervous [PERIOD]
dull [AND] reserved [AND] intellectual [IMPLY] cruel [PERIOD]
glamorous [AND] victorious [AND] disobedient [IMPLY] bossy [PERIOD]
dull [IMPLY] bossy [PERIOD]
cruel [AND] wrong [AND] bossy [IMPLY] adorable [PERIOD]
victorious [IMPLY] fragile [PERIOD]
intellectual [AND] nervous [AND] mysterious [IMPLY] dull [PERIOD]
zealous [AND] crowded [AND] disobedient [IMPLY] intellectual [PERIOD]
wrong [AND] long [AND] crowded [IMPLY] tender [PERIOD]
victorious [IMPLY] crowded [PERIOD]
victorious [AND] mysterious [AND] cooperative [IMPLY] curious [PERIOD]
impatient [AND] weary [AND] wrong [IMPLY] cruel [PERIOD]
bossy [AND] intellectual [AND] long [IMPLY] bright [PERIOD]
broad-minded [AND] hurt [IMPLY] intellectual [PERIOD]
reserved [AND] intellectual [AND] mysterious [IMPLY] bright [PERIOD]
crowded [IMPLY] adorable [PERIOD]
average [AND] bossy [AND] tender [IMPLY] mysterious [PERIOD]
tender [AND] mysterious [AND] disobedient [IMPLY] dull [PERIOD]
tender [AND] broad-minded [IMPLY] friendly [PERIOD]
glamorous [IMPLY] bored [PERIOD]
average [IMPLY] broad-minded [PERIOD]
broad-minded [AND] glamorous [AND] hurt [IMPLY] impatient [PERIOD]
hurt [AND] talkative [AND] wrong [IMPLY] adorable [PERIOD]
zealous [AND] victorious [IMPLY] impatient [PERIOD]
average [AND] wrong [AND] nervous [IMPLY] victorious [PERIOD]
dull [AND] bossy [IMPLY] impatient [PERIOD]
talkative [IMPLY] disobedient [PERIOD]
broad-minded [IMPLY] bored [PERIOD]
talkative [AND] fragile [IMPLY] long [PERIOD]
curious [AND] wrong [AND] nervous [IMPLY] crowded [PERIOD]
average [AND] broad-minded [IMPLY] bossy [PERIOD]
mysterious [AND] reserved [IMPLY] zealous [PERIOD]
fragile [AND] long [AND] disobedient [IMPLY] wrong [PERIOD]
bossy [AND] zealous [AND] broad-minded [IMPLY] impatient [PERIOD]
tender [IMPLY] nervous [PERIOD]
average [AND] adorable [IMPLY] crowded [PERIOD]
wrong [IMPLY] weary [PERIOD]
curious [AND] broad-minded [IMPLY] bored [PERIOD]
weary [AND] glamorous [IMPLY] bossy [PERIOD]
reserved [AND] nervous [AND] friendly [IMPLY] broad-minded [PERIOD]
disobedient [AND] reserved [AND] mysterious [IMPLY] cooperative [PERIOD]
intellectual [AND] glamorous [AND] bossy [IMPLY] disobedient [PERIOD]
dull [AND] glamorous [AND] bored [IMPLY] victorious [PERIOD]
glamorous [AND] adorable [AND] mysterious [IMPLY] dull [PERIOD]
bossy [IMPLY] curious [PERIOD]
dull [AND] bright [IMPLY] impatient [PERIOD]
victorious [AND] friendly [AND] disobedient [IMPLY] zealous [PERIOD]
zealous [IMPLY] cooperative [PERIOD]
friendly [AND] reserved [IMPLY] nervous [PERIOD]
fragile [AND] mysterious [AND] glamorous [IMPLY] cooperative [PERIOD]
zealous [IMPLY] broad-minded [PERIOD]
hurt [AND] mysterious [AND] cooperative [IMPLY] adorable [PERIOD]
broad-minded [AND] hurt [AND] tender [IMPLY] victorious [PERIOD]
impatient [AND] nervous [IMPLY] weary [PERIOD]
bored [IMPLY] curious [PERIOD]
hurt [AND] tender [IMPLY] reserved [PERIOD]
adorable [AND] nervous [AND] reserved [IMPLY] broad-minded [PERIOD]
weary [AND] long [IMPLY] broad-minded [PERIOD]
disobedient [AND] cooperative [IMPLY] intellectual [PERIOD]
broad-minded [IMPLY] intellectual [PERIOD]
fragile [IMPLY] crowded [PERIOD]
nervous [AND] bored [IMPLY] average [PERIOD]
weary [AND] wrong [IMPLY] crowded [PERIOD]
nervous [AND] long [AND] wrong [IMPLY] disobedient [PERIOD]
curious [AND] zealous [IMPLY] disobedient [PERIOD]
nervous [IMPLY] weary [PERIOD]
adorable [AND] broad-minded [IMPLY] reserved [PERIOD]
cooperative [IMPLY] adorable [PERIOD]
talkative [AND] disobedient [IMPLY] intellectual [PERIOD]
broad-minded [AND] weary [AND] average [IMPLY] crowded [PERIOD]
cruel [AND] reserved [IMPLY] tender [PERIOD]
hurt [AND] average [IMPLY] intellectual [PERIOD]
cooperative [IMPLY] crowded [PERIOD]
disobedient [AND] cruel [AND] bored [IMPLY] nervous [PERIOD]
Query: Alice is bossy [PERIOD]","Proof chain:
   adorable ∧ broad-minded ⇒ reserved
   adorable ∧ reserved ⇒ talkative
   talkative ⇒ disobedient
   Cannot apply rule “glamorous ∧ victorious ∧ disobedient ⇒ bossy” because missing: glamorous, victorious.
   Cannot apply rule “dull ⇒ bossy” because missing: dull.
   Cannot apply rule “average ∧ broad-minded ⇒ bossy” because missing: average.
   Cannot apply rule “weary ∧ glamorous ⇒ bossy” because missing: weary, glamorous.
",0,7
"Facts:  Alice is joyous [PERIOD] Alice is hurt [PERIOD]
Rules:
joyous [AND] curious [IMPLY] jittery [PERIOD]
strange [AND] dishonest [AND] straightforward [IMPLY] silly [PERIOD]
dishonest [AND] jittery [AND] silly [IMPLY] rude [PERIOD]
hurt [AND] rude [AND] curious [IMPLY] dishonest [PERIOD]
sensible [AND] perfect [IMPLY] amused [PERIOD]
curious [IMPLY] jittery [PERIOD]
rational [AND] elated [AND] jittery [IMPLY] weary [PERIOD]
amused [AND] jittery [IMPLY] precious [PERIOD]
elated [AND] weary [AND] jittery [IMPLY] sensible [PERIOD]
curious [IMPLY] rational [PERIOD]
amused [AND] weary [AND] rational [IMPLY] perfect [PERIOD]
jittery [AND] ugly [IMPLY] strange [PERIOD]
amused [IMPLY] silly [PERIOD]
rude [AND] weary [IMPLY] perfect [PERIOD]
curious [IMPLY] weary [PERIOD]
precious [AND] straightforward [IMPLY] jittery [PERIOD]
joyous [AND] rational [IMPLY] straightforward [PERIOD]
polite [AND] amused [AND] dishonest [IMPLY] weary [PERIOD]
silly [AND] precious [IMPLY] hurt [PERIOD]
curious [AND] precious [IMPLY] strange [PERIOD]
polite [IMPLY] strange [PERIOD]
elated [AND] straightforward [AND] perfect [IMPLY] rational [PERIOD]
dishonest [AND] precious [AND] perfect [IMPLY] silly [PERIOD]
dishonest [AND] precious [AND] silly [IMPLY] polite [PERIOD]
jittery [AND] curious [IMPLY] rude [PERIOD]
sensible [AND] rational [IMPLY] strange [PERIOD]
precious [IMPLY] elated [PERIOD]
precious [AND] strange [IMPLY] polite [PERIOD]
Query: Alice is polite [PERIOD]","Proof chain:
   Cannot apply rule “dishonest ∧ precious ∧ silly ⇒ polite” because missing: dishonest, precious, silly.
   Cannot apply rule “precious ∧ strange ⇒ polite” because missing: precious, strange.
",0,2
"Facts:  Alice is tidy [PERIOD] Alice is quaint [PERIOD] Alice is troubled [PERIOD]
Rules:
enchanting [AND] friendly [IMPLY] fine [PERIOD]
troubled [AND] enchanting [IMPLY] fine [PERIOD]
popular [IMPLY] pleasant [PERIOD]
different [AND] ambitious [IMPLY] elated [PERIOD]
ambitious [AND] muddy [IMPLY] enchanting [PERIOD]
mean [AND] enchanting [AND] pleasant [IMPLY] fine [PERIOD]
pleasant [AND] popular [IMPLY] friendly [PERIOD]
mean [AND] muddy [AND] ambitious [IMPLY] fine [PERIOD]
confused [AND] friendly [IMPLY] different [PERIOD]
fearless [AND] mean [IMPLY] quaint [PERIOD]
fine [IMPLY] confused [PERIOD]
mean [IMPLY] quaint [PERIOD]
ambitious [AND] different [IMPLY] enchanting [PERIOD]
different [AND] pleasant [IMPLY] muddy [PERIOD]
elated [AND] enchanting [AND] mean [IMPLY] pleasant [PERIOD]
enchanting [AND] friendly [AND] pleasant [IMPLY] muddy [PERIOD]
fearless [AND] pleasant [AND] elated [IMPLY] friendly [PERIOD]
tidy [AND] pleasant [AND] enchanting [IMPLY] elated [PERIOD]
fearless [AND] elated [IMPLY] mean [PERIOD]
popular [AND] fine [AND] elated [IMPLY] mean [PERIOD]
pleasant [IMPLY] fearless [PERIOD]
popular [AND] muddy [IMPLY] friendly [PERIOD]
popular [AND] fearless [AND] elated [IMPLY] ambitious [PERIOD]
popular [IMPLY] tidy [PERIOD]
quaint [AND] popular [AND] enchanting [IMPLY] troubled [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is excited [PERIOD]
Rules:
talkative [AND] talented [IMPLY] excited [PERIOD]
excited [AND] muddy [IMPLY] modern [PERIOD]
excited [AND] modern [IMPLY] muddy [PERIOD]
muddy [AND] excited [IMPLY] talented [PERIOD]
talkative [AND] muddy [IMPLY] excited [PERIOD]
excited [AND] modern [AND] talkative [IMPLY] talented [PERIOD]
modern [IMPLY] muddy [PERIOD]
muddy [IMPLY] talkative [PERIOD]
modern [AND] talented [IMPLY] excited [PERIOD]
Query: Alice is muddy [PERIOD]","Proof chain:
   Cannot apply rule “excited ∧ modern ⇒ muddy” because missing: modern.
   Cannot apply rule “modern ⇒ muddy” because missing: modern.
",0,2
"Facts:  Alice is shy [PERIOD] Alice is innocent [PERIOD] Alice is clean [PERIOD] Alice is spotless [PERIOD] Alice is plain [PERIOD]
Rules:
wrong [AND] agreeable [AND] tender [IMPLY] disgusted [PERIOD]
exuberant [AND] plain [IMPLY] tender [PERIOD]
quaint [AND] exuberant [AND] strange [IMPLY] spotless [PERIOD]
spotless [IMPLY] strange [PERIOD]
plain [AND] strange [AND] tender [IMPLY] stubborn [PERIOD]
quaint [IMPLY] tender [PERIOD]
exuberant [AND] strange [AND] courageous [IMPLY] innocent [PERIOD]
innocent [AND] stubborn [AND] quaint [IMPLY] disgusted [PERIOD]
agreeable [IMPLY] clean [PERIOD]
shy [AND] impatient [AND] strange [IMPLY] crowded [PERIOD]
agreeable [AND] tender [AND] spotless [IMPLY] strange [PERIOD]
disgusted [AND] plain [IMPLY] innocent [PERIOD]
strange [AND] agreeable [AND] wrong [IMPLY] stubborn [PERIOD]
quaint [AND] spotless [AND] exuberant [IMPLY] plain [PERIOD]
wrong [AND] stubborn [IMPLY] agreeable [PERIOD]
strange [IMPLY] plain [PERIOD]
exuberant [AND] shiny [IMPLY] clean [PERIOD]
crowded [AND] plain [AND] exuberant [IMPLY] spotless [PERIOD]
tender [IMPLY] quaint [PERIOD]
impatient [AND] quaint [AND] exuberant [IMPLY] agreeable [PERIOD]
shy [IMPLY] shiny [PERIOD]
agreeable [IMPLY] shy [PERIOD]
impatient [IMPLY] spotless [PERIOD]
wrong [AND] stubborn [IMPLY] shy [PERIOD]
courageous [AND] impatient [IMPLY] disgusted [PERIOD]
quaint [IMPLY] impatient [PERIOD]
strange [AND] exuberant [IMPLY] quaint [PERIOD]
quaint [AND] strange [IMPLY] disgusted [PERIOD]
clean [AND] impatient [IMPLY] courageous [PERIOD]
stubborn [AND] shiny [IMPLY] clean [PERIOD]
exuberant [AND] crowded [IMPLY] innocent [PERIOD]
stubborn [AND] agreeable [AND] spotless [IMPLY] courageous [PERIOD]
clean [AND] plain [IMPLY] wrong [PERIOD]
shiny [AND] quaint [AND] impatient [IMPLY] plain [PERIOD]
courageous [AND] shiny [IMPLY] quaint [PERIOD]
tender [IMPLY] exuberant [PERIOD]
exuberant [AND] crowded [AND] clean [IMPLY] innocent [PERIOD]
quaint [AND] courageous [AND] spotless [IMPLY] agreeable [PERIOD]
strange [AND] plain [IMPLY] exuberant [PERIOD]
plain [IMPLY] shy [PERIOD]
disgusted [AND] quaint [IMPLY] innocent [PERIOD]
crowded [AND] shy [IMPLY] clean [PERIOD]
clean [AND] exuberant [IMPLY] agreeable [PERIOD]
plain [AND] agreeable [IMPLY] impatient [PERIOD]
plain [AND] agreeable [IMPLY] spotless [PERIOD]
shiny [AND] courageous [AND] strange [IMPLY] quaint [PERIOD]
shy [AND] quaint [IMPLY] wrong [PERIOD]
tender [IMPLY] plain [PERIOD]
strange [AND] shy [AND] tender [IMPLY] wrong [PERIOD]
disgusted [AND] stubborn [IMPLY] tender [PERIOD]
Query: Alice is crowded [PERIOD]","Proof chain:
   spotless ⇒ strange
   strange ∧ plain ⇒ exuberant
   clean ∧ exuberant ⇒ agreeable
   plain ∧ agreeable ⇒ impatient
   spotless ⇒ strange
   shy ∧ impatient ∧ strange ⇒ crowded
",1,6
"Facts: 
Rules:
calm [AND] amused [AND] bright [IMPLY] aggressive [PERIOD]
calm [IMPLY] pleasant [PERIOD]
disgusted [IMPLY] aggressive [PERIOD]
calm [IMPLY] elated [PERIOD]
victorious [IMPLY] stupid [PERIOD]
bossy [AND] old-fashioned [IMPLY] disgusted [PERIOD]
zealous [IMPLY] talkative [PERIOD]
bossy [IMPLY] aggressive [PERIOD]
amused [AND] stupid [IMPLY] anxious [PERIOD]
bright [AND] elated [AND] aggressive [IMPLY] calm [PERIOD]
wandering [AND] lucky [AND] old-fashioned [IMPLY] pleasant [PERIOD]
anxious [AND] lucky [IMPLY] spotless [PERIOD]
easy [IMPLY] pleasant [PERIOD]
aggressive [IMPLY] wandering [PERIOD]
easy [AND] wandering [AND] lucky [IMPLY] thoughtless [PERIOD]
amused [IMPLY] wandering [PERIOD]
talkative [IMPLY] wrong [PERIOD]
crowded [AND] talkative [AND] victorious [IMPLY] spotless [PERIOD]
calm [AND] bright [AND] stupid [IMPLY] elated [PERIOD]
spotless [AND] bossy [AND] lucky [IMPLY] amused [PERIOD]
calm [IMPLY] spotless [PERIOD]
spotless [AND] talkative [AND] wrong [IMPLY] zealous [PERIOD]
wandering [AND] amused [AND] wrong [IMPLY] talkative [PERIOD]
spotless [AND] stupid [AND] amused [IMPLY] thoughtless [PERIOD]
victorious [IMPLY] crowded [PERIOD]
amused [IMPLY] bright [PERIOD]
crowded [AND] thoughtless [IMPLY] victorious [PERIOD]
anxious [AND] stupid [IMPLY] talkative [PERIOD]
spotless [AND] wrong [IMPLY] old-fashioned [PERIOD]
spotless [IMPLY] thoughtless [PERIOD]
calm [IMPLY] talkative [PERIOD]
victorious [AND] wrong [IMPLY] crowded [PERIOD]
wandering [AND] bright [AND] anxious [IMPLY] spotless [PERIOD]
calm [AND] crowded [IMPLY] stupid [PERIOD]
bright [AND] pleasant [AND] anxious [IMPLY] wandering [PERIOD]
aggressive [AND] disgusted [IMPLY] bright [PERIOD]
wandering [AND] wrong [IMPLY] thoughtless [PERIOD]
spotless [AND] stupid [IMPLY] pleasant [PERIOD]
anxious [AND] bright [AND] clumsy [IMPLY] calm [PERIOD]
thoughtless [IMPLY] aggressive [PERIOD]
elated [AND] wrong [IMPLY] calm [PERIOD]
zealous [AND] amused [IMPLY] easy [PERIOD]
aggressive [AND] clumsy [IMPLY] zealous [PERIOD]
pleasant [IMPLY] aggressive [PERIOD]
elated [IMPLY] wrong [PERIOD]
bossy [AND] old-fashioned [AND] pleasant [IMPLY] victorious [PERIOD]
lucky [IMPLY] spotless [PERIOD]
thoughtless [AND] zealous [AND] aggressive [IMPLY] easy [PERIOD]
elated [AND] disgusted [IMPLY] aggressive [PERIOD]
easy [AND] pleasant [AND] clumsy [IMPLY] crowded [PERIOD]
old-fashioned [AND] aggressive [IMPLY] bright [PERIOD]
bright [AND] calm [AND] talkative [IMPLY] pleasant [PERIOD]
clumsy [IMPLY] spotless [PERIOD]
clumsy [AND] bright [IMPLY] wandering [PERIOD]
victorious [IMPLY] easy [PERIOD]
clumsy [AND] talkative [IMPLY] elated [PERIOD]
bossy [AND] bright [IMPLY] calm [PERIOD]
calm [AND] anxious [AND] wrong [IMPLY] bright [PERIOD]
zealous [AND] victorious [AND] amused [IMPLY] anxious [PERIOD]
amused [AND] stupid [AND] talkative [IMPLY] calm [PERIOD]
stupid [IMPLY] aggressive [PERIOD]
bright [IMPLY] bossy [PERIOD]
crowded [AND] talkative [AND] bright [IMPLY] elated [PERIOD]
easy [IMPLY] old-fashioned [PERIOD]
bossy [AND] old-fashioned [AND] lucky [IMPLY] clumsy [PERIOD]
stupid [IMPLY] bossy [PERIOD]
stupid [AND] easy [AND] thoughtless [IMPLY] talkative [PERIOD]
talkative [IMPLY] old-fashioned [PERIOD]
clumsy [IMPLY] wandering [PERIOD]
pleasant [AND] talkative [IMPLY] crowded [PERIOD]
aggressive [AND] lucky [IMPLY] victorious [PERIOD]
wrong [IMPLY] anxious [PERIOD]
clumsy [AND] bright [IMPLY] crowded [PERIOD]
Query: Alice is spotless [PERIOD]","Proof chain:
   Cannot apply rule “anxious ∧ lucky ⇒ spotless” because missing: anxious, lucky.
   Cannot apply rule “crowded ∧ talkative ∧ victorious ⇒ spotless” because missing: crowded, talkative, victorious.
   Cannot apply rule “calm ⇒ spotless” because missing: calm.
   Cannot apply rule “wandering ∧ bright ∧ anxious ⇒ spotless” because missing: wandering, bright, anxious.
   Cannot apply rule “lucky ⇒ spotless” because missing: lucky.
   Cannot apply rule “clumsy ⇒ spotless” because missing: clumsy.
",0,6
"Facts:  Alice is gifted [PERIOD] Alice is impartial [PERIOD] Alice is stupid [PERIOD] Alice is blushing [PERIOD]
Rules:
attentive [AND] stupid [IMPLY] hilarious [PERIOD]
troubled [AND] attentive [AND] amused [IMPLY] blushing [PERIOD]
amused [AND] famous [IMPLY] stupid [PERIOD]
hilarious [AND] impartial [IMPLY] attentive [PERIOD]
amused [AND] blushing [AND] muddy [IMPLY] stupid [PERIOD]
stupid [AND] ugly [AND] innocent [IMPLY] blushing [PERIOD]
blushing [AND] stupid [IMPLY] impartial [PERIOD]
gifted [AND] ugly [AND] hilarious [IMPLY] innocent [PERIOD]
muddy [IMPLY] troubled [PERIOD]
famous [AND] ugly [IMPLY] troubled [PERIOD]
attentive [AND] muddy [IMPLY] impartial [PERIOD]
ugly [AND] impartial [IMPLY] stupid [PERIOD]
hilarious [AND] amused [AND] gifted [IMPLY] troubled [PERIOD]
stupid [IMPLY] amused [PERIOD]
amused [AND] blushing [AND] ugly [IMPLY] famous [PERIOD]
amused [IMPLY] gifted [PERIOD]
innocent [AND] troubled [IMPLY] blushing [PERIOD]
muddy [IMPLY] impartial [PERIOD]
ugly [IMPLY] famous [PERIOD]
amused [AND] hilarious [IMPLY] famous [PERIOD]
famous [AND] stupid [IMPLY] muddy [PERIOD]
innocent [AND] muddy [AND] gifted [IMPLY] stupid [PERIOD]
blushing [AND] attentive [AND] stupid [IMPLY] impartial [PERIOD]
famous [IMPLY] impartial [PERIOD]
troubled [AND] amused [IMPLY] innocent [PERIOD]
innocent [AND] gifted [AND] hilarious [IMPLY] muddy [PERIOD]
ugly [IMPLY] innocent [PERIOD]
blushing [AND] gifted [IMPLY] amused [PERIOD]
famous [AND] stupid [AND] attentive [IMPLY] innocent [PERIOD]
amused [IMPLY] famous [PERIOD]
gifted [AND] impartial [IMPLY] blushing [PERIOD]
gifted [IMPLY] hilarious [PERIOD]
hilarious [AND] famous [IMPLY] attentive [PERIOD]
hilarious [AND] ugly [IMPLY] stupid [PERIOD]
troubled [AND] amused [IMPLY] muddy [PERIOD]
ugly [AND] gifted [AND] innocent [IMPLY] amused [PERIOD]
amused [AND] ugly [IMPLY] hilarious [PERIOD]
famous [AND] attentive [IMPLY] blushing [PERIOD]
attentive [AND] troubled [AND] muddy [IMPLY] innocent [PERIOD]
ugly [AND] gifted [IMPLY] famous [PERIOD]
attentive [AND] troubled [IMPLY] amused [PERIOD]
hilarious [AND] attentive [AND] famous [IMPLY] troubled [PERIOD]
Query: Alice is innocent [PERIOD]","Proof chain:
   blushing ∧ gifted ⇒ amused
   amused ⇒ famous
   gifted ⇒ hilarious
   hilarious ∧ impartial ⇒ attentive
   famous ∧ stupid ∧ attentive ⇒ innocent
",1,5
"Facts:  Alice is glamorous [PERIOD] Alice is innocent [PERIOD] Alice is dishonest [PERIOD] Alice is anxious [PERIOD] Alice is foolish [PERIOD] Alice is versatile [PERIOD] Alice is exuberant [PERIOD] Alice is stormy [PERIOD] Alice is alert [PERIOD] Alice is serious [PERIOD] Alice is tender [PERIOD] Alice is sincere [PERIOD] Alice is outrageous [PERIOD]
Rules:
shy [AND] alert [AND] foolish [IMPLY] gifted [PERIOD]
confident [AND] talkative [AND] rude [IMPLY] outrageous [PERIOD]
old-fashioned [IMPLY] sincere [PERIOD]
tender [IMPLY] confident [PERIOD]
dishonest [AND] old-fashioned [AND] talkative [IMPLY] friendly [PERIOD]
confident [AND] alert [IMPLY] innocent [PERIOD]
sincere [IMPLY] versatile [PERIOD]
confident [AND] sincere [IMPLY] talkative [PERIOD]
old-fashioned [AND] shy [AND] tender [IMPLY] worried [PERIOD]
talkative [AND] innocent [AND] anxious [IMPLY] foolish [PERIOD]
confident [IMPLY] old-fashioned [PERIOD]
anxious [AND] sincere [IMPLY] inexpensive [PERIOD]
serious [AND] rude [IMPLY] worried [PERIOD]
friendly [IMPLY] worried [PERIOD]
talkative [AND] gifted [IMPLY] glamorous [PERIOD]
exuberant [IMPLY] glamorous [PERIOD]
sincere [AND] versatile [IMPLY] stormy [PERIOD]
serious [AND] tender [IMPLY] old-fashioned [PERIOD]
sincere [AND] alert [AND] outrageous [IMPLY] talkative [PERIOD]
rude [AND] confident [AND] inexpensive [IMPLY] sincere [PERIOD]
shy [AND] dishonest [IMPLY] inexpensive [PERIOD]
talkative [AND] tender [IMPLY] confident [PERIOD]
dishonest [IMPLY] rude [PERIOD]
serious [AND] stormy [IMPLY] talkative [PERIOD]
shy [AND] worried [AND] stormy [IMPLY] glamorous [PERIOD]
alert [AND] anxious [AND] tender [IMPLY] gifted [PERIOD]
alert [AND] exuberant [AND] friendly [IMPLY] talkative [PERIOD]
dishonest [IMPLY] alert [PERIOD]
innocent [IMPLY] shy [PERIOD]
worried [IMPLY] stormy [PERIOD]
rude [IMPLY] confident [PERIOD]
tender [AND] worried [IMPLY] serious [PERIOD]
exuberant [IMPLY] tender [PERIOD]
friendly [IMPLY] serious [PERIOD]
inexpensive [AND] shy [IMPLY] innocent [PERIOD]
old-fashioned [IMPLY] foolish [PERIOD]
talkative [IMPLY] dishonest [PERIOD]
confident [IMPLY] dishonest [PERIOD]
confident [IMPLY] versatile [PERIOD]
rude [AND] tender [IMPLY] gifted [PERIOD]
tender [AND] sincere [AND] stormy [IMPLY] exuberant [PERIOD]
friendly [IMPLY] rude [PERIOD]
worried [IMPLY] inexpensive [PERIOD]
alert [AND] inexpensive [AND] innocent [IMPLY] exuberant [PERIOD]
inexpensive [AND] rude [IMPLY] dishonest [PERIOD]
anxious [AND] versatile [IMPLY] alert [PERIOD]
rude [AND] exuberant [IMPLY] inexpensive [PERIOD]
serious [AND] tender [AND] talkative [IMPLY] stormy [PERIOD]
versatile [IMPLY] tender [PERIOD]
talkative [IMPLY] rude [PERIOD]
stormy [AND] tender [AND] innocent [IMPLY] foolish [PERIOD]
worried [AND] tender [AND] old-fashioned [IMPLY] stormy [PERIOD]
talkative [IMPLY] old-fashioned [PERIOD]
glamorous [AND] serious [IMPLY] outrageous [PERIOD]
serious [AND] innocent [AND] rude [IMPLY] outrageous [PERIOD]
exuberant [AND] confident [IMPLY] innocent [PERIOD]
Query: Alice is stormy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is shy [PERIOD] Alice is clumsy [PERIOD] Alice is tender [PERIOD] Alice is zealous [PERIOD]
Rules:
serious [AND] joyous [AND] jittery [IMPLY] frail [PERIOD]
hurt [AND] zealous [IMPLY] shy [PERIOD]
tender [AND] alert [IMPLY] victorious [PERIOD]
perfect [AND] serious [AND] tender [IMPLY] uptight [PERIOD]
tender [IMPLY] elegant [PERIOD]
elegant [AND] wrong [IMPLY] victorious [PERIOD]
shy [IMPLY] hurt [PERIOD]
jittery [AND] comfortable [IMPLY] hurt [PERIOD]
comfortable [AND] clumsy [AND] hurt [IMPLY] tender [PERIOD]
serious [IMPLY] comfortable [PERIOD]
victorious [AND] perfect [AND] amused [IMPLY] clumsy [PERIOD]
alert [IMPLY] joyous [PERIOD]
uptight [AND] elegant [IMPLY] serious [PERIOD]
jittery [AND] alert [IMPLY] joyous [PERIOD]
zealous [AND] victorious [IMPLY] hurt [PERIOD]
tender [AND] serious [AND] hurt [IMPLY] zealous [PERIOD]
hurt [AND] tender [IMPLY] comfortable [PERIOD]
amused [AND] hurt [AND] shy [IMPLY] serious [PERIOD]
comfortable [AND] wrong [IMPLY] amused [PERIOD]
clumsy [AND] elegant [AND] comfortable [IMPLY] tender [PERIOD]
elegant [IMPLY] perfect [PERIOD]
victorious [AND] zealous [IMPLY] uptight [PERIOD]
alert [AND] hurt [AND] uptight [IMPLY] joyous [PERIOD]
clumsy [IMPLY] comfortable [PERIOD]
frail [IMPLY] uptight [PERIOD]
jittery [IMPLY] zealous [PERIOD]
serious [IMPLY] jittery [PERIOD]
tender [IMPLY] alert [PERIOD]
amused [AND] elegant [AND] frail [IMPLY] serious [PERIOD]
uptight [AND] frail [IMPLY] victorious [PERIOD]
perfect [IMPLY] amused [PERIOD]
Query: Alice is shy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is intellectual [PERIOD] Alice is adorable [PERIOD] Alice is serious [PERIOD]
Rules:
serious [IMPLY] hypocritical [PERIOD]
serious [AND] impartial [AND] bad-tempered [IMPLY] intellectual [PERIOD]
impartial [IMPLY] courageous [PERIOD]
adorable [AND] serious [IMPLY] grumpy [PERIOD]
adorable [IMPLY] inquisitive [PERIOD]
strange [AND] grumpy [IMPLY] hypocritical [PERIOD]
courageous [AND] inquisitive [AND] selfish [IMPLY] diplomatic [PERIOD]
impartial [IMPLY] smart [PERIOD]
old-fashioned [AND] strange [AND] disobedient [IMPLY] bad-tempered [PERIOD]
selfish [AND] inquisitive [IMPLY] cute [PERIOD]
adorable [IMPLY] smart [PERIOD]
versatile [IMPLY] frantic [PERIOD]
smart [AND] inquisitive [IMPLY] courageous [PERIOD]
strange [AND] frantic [IMPLY] courageous [PERIOD]
intellectual [IMPLY] bad-tempered [PERIOD]
frantic [AND] precious [AND] versatile [IMPLY] diplomatic [PERIOD]
shiny [AND] courageous [AND] beautiful [IMPLY] adorable [PERIOD]
courageous [AND] old-fashioned [AND] grumpy [IMPLY] cute [PERIOD]
diplomatic [AND] serious [AND] impartial [IMPLY] strange [PERIOD]
serious [AND] courageous [AND] versatile [IMPLY] old-fashioned [PERIOD]
diplomatic [AND] precious [IMPLY] bad-tempered [PERIOD]
beautiful [AND] grumpy [AND] serious [IMPLY] disobedient [PERIOD]
diplomatic [IMPLY] intellectual [PERIOD]
inquisitive [AND] shiny [AND] grumpy [IMPLY] serious [PERIOD]
disobedient [AND] beautiful [AND] adorable [IMPLY] courageous [PERIOD]
grumpy [AND] serious [IMPLY] bad-tempered [PERIOD]
intellectual [AND] beautiful [IMPLY] smart [PERIOD]
impartial [AND] beautiful [IMPLY] old-fashioned [PERIOD]
shiny [AND] disobedient [IMPLY] old-fashioned [PERIOD]
intellectual [AND] courageous [IMPLY] disobedient [PERIOD]
disobedient [IMPLY] hypocritical [PERIOD]
cute [AND] beautiful [AND] old-fashioned [IMPLY] adorable [PERIOD]
beautiful [AND] strange [IMPLY] serious [PERIOD]
intellectual [AND] versatile [AND] adorable [IMPLY] grumpy [PERIOD]
courageous [IMPLY] diplomatic [PERIOD]
intellectual [IMPLY] impartial [PERIOD]
impartial [AND] selfish [AND] serious [IMPLY] beautiful [PERIOD]
serious [AND] versatile [AND] diplomatic [IMPLY] old-fashioned [PERIOD]
shiny [AND] intellectual [AND] diplomatic [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] frantic [AND] jittery [IMPLY] intellectual [PERIOD]
frantic [AND] inquisitive [IMPLY] courageous [PERIOD]
old-fashioned [AND] precious [AND] impartial [IMPLY] beautiful [PERIOD]
bad-tempered [IMPLY] inquisitive [PERIOD]
beautiful [AND] adorable [AND] hypocritical [IMPLY] frantic [PERIOD]
inquisitive [AND] shiny [AND] intellectual [IMPLY] diplomatic [PERIOD]
intellectual [AND] disobedient [IMPLY] serious [PERIOD]
disobedient [AND] beautiful [AND] smart [IMPLY] versatile [PERIOD]
versatile [AND] serious [IMPLY] disobedient [PERIOD]
smart [AND] shiny [IMPLY] inquisitive [PERIOD]
smart [AND] impartial [IMPLY] jittery [PERIOD]
inquisitive [AND] shiny [IMPLY] adorable [PERIOD]
shiny [IMPLY] beautiful [PERIOD]
adorable [AND] precious [AND] cute [IMPLY] beautiful [PERIOD]
serious [AND] inquisitive [AND] diplomatic [IMPLY] versatile [PERIOD]
hypocritical [IMPLY] strange [PERIOD]
Query: Alice is disobedient [PERIOD]","Proof chain:
   intellectual ⇒ impartial
   impartial ⇒ courageous
   intellectual ∧ courageous ⇒ disobedient
",1,3
"Facts:  Alice is foolish [PERIOD] Alice is cute [PERIOD] Alice is disobedient [PERIOD] Alice is sleepy [PERIOD]
Rules:
pessimistic [AND] precious [AND] foolish [IMPLY] elegant [PERIOD]
old-fashioned [AND] precious [IMPLY] tense [PERIOD]
foolish [IMPLY] elegant [PERIOD]
sleepy [IMPLY] inexpensive [PERIOD]
glamorous [IMPLY] elegant [PERIOD]
glamorous [IMPLY] fragile [PERIOD]
thoughtless [AND] foolish [IMPLY] old-fashioned [PERIOD]
thoughtless [AND] worrisome [AND] disobedient [IMPLY] fragile [PERIOD]
cute [AND] disobedient [AND] pessimistic [IMPLY] smart [PERIOD]
glamorous [AND] modern [AND] clean [IMPLY] tense [PERIOD]
inexpensive [AND] frightened [AND] worrisome [IMPLY] old-fashioned [PERIOD]
tense [IMPLY] fragile [PERIOD]
cute [AND] smart [IMPLY] glamorous [PERIOD]
disobedient [AND] cute [IMPLY] fragile [PERIOD]
glamorous [IMPLY] pessimistic [PERIOD]
smart [AND] clean [IMPLY] precious [PERIOD]
confused [IMPLY] precious [PERIOD]
smart [AND] sleepy [IMPLY] worrisome [PERIOD]
confused [IMPLY] elegant [PERIOD]
smart [IMPLY] worrisome [PERIOD]
thoughtless [IMPLY] modern [PERIOD]
pessimistic [AND] old-fashioned [IMPLY] worrisome [PERIOD]
fragile [AND] cute [AND] tense [IMPLY] confused [PERIOD]
smart [IMPLY] modern [PERIOD]
inexpensive [IMPLY] sleepy [PERIOD]
fragile [IMPLY] pessimistic [PERIOD]
modern [AND] fragile [AND] confused [IMPLY] glamorous [PERIOD]
foolish [IMPLY] sleepy [PERIOD]
modern [IMPLY] fragile [PERIOD]
modern [AND] old-fashioned [AND] thoughtless [IMPLY] pessimistic [PERIOD]
smart [AND] tense [IMPLY] confused [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   Cannot apply rule “thoughtless ∧ foolish ⇒ old-fashioned” because missing: thoughtless.
   sleepy ⇒ inexpensive
   disobedient ∧ cute ⇒ fragile
   fragile ⇒ pessimistic
   cute ∧ disobedient ∧ pessimistic ⇒ smart
   smart ∧ sleepy ⇒ worrisome
   Cannot apply rule “inexpensive ∧ frightened ∧ worrisome ⇒ old-fashioned” because missing: frightened.
",0,7
"Facts:  Alice is difficult [PERIOD] Alice is disobedient [PERIOD] Alice is famous [PERIOD] Alice is diplomatic [PERIOD] Alice is talented [PERIOD] Alice is sincere [PERIOD] Alice is intellectual [PERIOD] Alice is agreeable [PERIOD] Alice is horrible [PERIOD] Alice is rude [PERIOD] Alice is outstanding [PERIOD] Alice is frail [PERIOD] Alice is combative [PERIOD] Alice is weary [PERIOD]
Rules:
horrible [AND] frail [AND] disgusted [IMPLY] aggressive [PERIOD]
versatile [AND] sincere [AND] mean [IMPLY] quaint [PERIOD]
mean [AND] quaint [IMPLY] shiny [PERIOD]
sincere [IMPLY] versatile [PERIOD]
shiny [AND] famous [IMPLY] weary [PERIOD]
agreeable [IMPLY] gleaming [PERIOD]
shiny [AND] disobedient [IMPLY] sincere [PERIOD]
frail [AND] shiny [IMPLY] rude [PERIOD]
weary [AND] outstanding [AND] mean [IMPLY] combative [PERIOD]
famous [IMPLY] quaint [PERIOD]
versatile [IMPLY] messy [PERIOD]
shiny [AND] talented [AND] versatile [IMPLY] intellectual [PERIOD]
versatile [AND] disgusted [IMPLY] horrible [PERIOD]
talented [AND] disgusted [AND] aggressive [IMPLY] sincere [PERIOD]
horrible [IMPLY] frail [PERIOD]
disobedient [AND] intellectual [IMPLY] shiny [PERIOD]
famous [AND] gleaming [IMPLY] diplomatic [PERIOD]
aggressive [AND] mean [AND] versatile [IMPLY] sincere [PERIOD]
mean [IMPLY] shiny [PERIOD]
aggressive [AND] messy [AND] quaint [IMPLY] disgusted [PERIOD]
difficult [IMPLY] diplomatic [PERIOD]
famous [AND] horrible [AND] intellectual [IMPLY] combative [PERIOD]
versatile [IMPLY] intellectual [PERIOD]
combative [IMPLY] outstanding [PERIOD]
shiny [IMPLY] outstanding [PERIOD]
messy [IMPLY] frail [PERIOD]
shiny [IMPLY] messy [PERIOD]
talented [IMPLY] disobedient [PERIOD]
weary [AND] quaint [AND] difficult [IMPLY] spotless [PERIOD]
aggressive [IMPLY] spotless [PERIOD]
difficult [AND] combative [IMPLY] aggressive [PERIOD]
difficult [IMPLY] talented [PERIOD]
horrible [AND] quaint [AND] intellectual [IMPLY] messy [PERIOD]
quaint [AND] rude [IMPLY] combative [PERIOD]
disgusted [IMPLY] famous [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is inquisitive [PERIOD]
Rules:
alert [AND] broad-minded [AND] frantic [IMPLY] careless [PERIOD]
broad-minded [IMPLY] impatient [PERIOD]
impatient [AND] quaint [AND] precious [IMPLY] frantic [PERIOD]
victorious [AND] precious [IMPLY] quaint [PERIOD]
broad-minded [AND] impatient [IMPLY] alert [PERIOD]
bright [IMPLY] inquisitive [PERIOD]
impatient [IMPLY] alert [PERIOD]
victorious [IMPLY] careless [PERIOD]
broad-minded [AND] frantic [IMPLY] impatient [PERIOD]
alert [IMPLY] inquisitive [PERIOD]
inquisitive [AND] bright [IMPLY] impatient [PERIOD]
careless [AND] alert [AND] quaint [IMPLY] impatient [PERIOD]
frantic [AND] victorious [IMPLY] precious [PERIOD]
precious [IMPLY] inquisitive [PERIOD]
impatient [AND] victorious [IMPLY] alert [PERIOD]
precious [AND] inquisitive [AND] quaint [IMPLY] careless [PERIOD]
victorious [IMPLY] inquisitive [PERIOD]
victorious [IMPLY] broad-minded [PERIOD]
victorious [AND] inquisitive [IMPLY] frantic [PERIOD]
impatient [AND] broad-minded [IMPLY] inquisitive [PERIOD]
frantic [IMPLY] bright [PERIOD]
precious [AND] careless [AND] alert [IMPLY] victorious [PERIOD]
victorious [AND] frantic [AND] quaint [IMPLY] broad-minded [PERIOD]
inquisitive [IMPLY] impatient [PERIOD]
frantic [AND] careless [IMPLY] alert [PERIOD]
alert [AND] inquisitive [IMPLY] broad-minded [PERIOD]
frantic [IMPLY] broad-minded [PERIOD]
careless [AND] impatient [IMPLY] alert [PERIOD]
bright [AND] precious [AND] broad-minded [IMPLY] careless [PERIOD]
quaint [AND] frantic [AND] victorious [IMPLY] bright [PERIOD]
careless [IMPLY] impatient [PERIOD]
quaint [AND] precious [IMPLY] impatient [PERIOD]
impatient [AND] frantic [IMPLY] quaint [PERIOD]
alert [AND] impatient [IMPLY] quaint [PERIOD]
inquisitive [AND] alert [IMPLY] bright [PERIOD]
bright [AND] impatient [IMPLY] careless [PERIOD]
inquisitive [AND] frantic [IMPLY] alert [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   inquisitive ⇒ impatient
   inquisitive ⇒ impatient
   impatient ⇒ alert
   inquisitive ⇒ impatient
   alert ∧ impatient ⇒ quaint
   Cannot apply rule “impatient ∧ quaint ∧ precious ⇒ frantic” because missing: precious.
   Cannot apply rule “victorious ∧ inquisitive ⇒ frantic” because missing: victorious.
",0,7
"Facts:  Alice is average [PERIOD] Alice is alert [PERIOD] Alice is frightened [PERIOD]
Rules:
silly [AND] frightened [AND] frantic [IMPLY] crowded [PERIOD]
frightened [IMPLY] agreeable [PERIOD]
agreeable [AND] frantic [IMPLY] average [PERIOD]
silly [AND] confident [AND] sensible [IMPLY] alert [PERIOD]
polite [IMPLY] crowded [PERIOD]
average [AND] alert [AND] worrisome [IMPLY] agreeable [PERIOD]
agreeable [AND] attentive [IMPLY] alert [PERIOD]
alert [AND] confident [AND] attentive [IMPLY] average [PERIOD]
attentive [AND] frantic [AND] polite [IMPLY] exuberant [PERIOD]
sensible [AND] silly [AND] crowded [IMPLY] fancy [PERIOD]
polite [IMPLY] exuberant [PERIOD]
frantic [AND] crowded [AND] confident [IMPLY] sensible [PERIOD]
attentive [AND] fancy [AND] silly [IMPLY] alert [PERIOD]
silly [IMPLY] confident [PERIOD]
average [AND] confident [IMPLY] frightened [PERIOD]
attentive [IMPLY] fancy [PERIOD]
worrisome [AND] crowded [AND] silly [IMPLY] frightened [PERIOD]
confident [IMPLY] attentive [PERIOD]
exuberant [IMPLY] fancy [PERIOD]
frantic [IMPLY] silly [PERIOD]
confident [AND] attentive [IMPLY] agreeable [PERIOD]
frightened [IMPLY] confident [PERIOD]
polite [AND] fancy [IMPLY] exuberant [PERIOD]
silly [AND] polite [AND] fancy [IMPLY] confident [PERIOD]
frightened [IMPLY] attentive [PERIOD]
crowded [AND] agreeable [AND] confident [IMPLY] frantic [PERIOD]
polite [AND] fancy [AND] exuberant [IMPLY] alert [PERIOD]
frantic [IMPLY] confident [PERIOD]
attentive [AND] alert [AND] confident [IMPLY] sensible [PERIOD]
confident [AND] average [AND] polite [IMPLY] sensible [PERIOD]
silly [AND] confident [AND] alert [IMPLY] sensible [PERIOD]
polite [AND] crowded [IMPLY] agreeable [PERIOD]
alert [AND] confident [IMPLY] polite [PERIOD]
worrisome [AND] exuberant [IMPLY] frightened [PERIOD]
exuberant [AND] sensible [AND] polite [IMPLY] worrisome [PERIOD]
agreeable [AND] attentive [IMPLY] crowded [PERIOD]
crowded [IMPLY] frantic [PERIOD]
fancy [AND] silly [IMPLY] average [PERIOD]
average [IMPLY] polite [PERIOD]
average [AND] crowded [IMPLY] agreeable [PERIOD]
exuberant [IMPLY] alert [PERIOD]
crowded [AND] alert [IMPLY] frantic [PERIOD]
frantic [AND] worrisome [AND] confident [IMPLY] crowded [PERIOD]
fancy [IMPLY] sensible [PERIOD]
exuberant [IMPLY] confident [PERIOD]
frantic [AND] crowded [IMPLY] attentive [PERIOD]
average [AND] fancy [IMPLY] confident [PERIOD]
confident [AND] sensible [IMPLY] worrisome [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   frightened ⇒ agreeable
   frightened ⇒ attentive
   agreeable ∧ attentive ⇒ crowded
   frightened ⇒ agreeable
   frightened ⇒ confident
   crowded ∧ agreeable ∧ confident ⇒ frantic
",1,6
"Facts:  Alice is vivacious [PERIOD] Alice is quaint [PERIOD] Alice is sleepy [PERIOD] Alice is exuberant [PERIOD] Alice is modern [PERIOD] Alice is combative [PERIOD] Alice is disgusted [PERIOD] Alice is distinct [PERIOD] Alice is hypocritical [PERIOD] Alice is attentive [PERIOD] Alice is jittery [PERIOD] Alice is powerful [PERIOD] Alice is helpless [PERIOD] Alice is gleaming [PERIOD] Alice is gorgeous [PERIOD] Alice is clean [PERIOD] Alice is blushing [PERIOD] Alice is worrisome [PERIOD] Alice is outstanding [PERIOD] Alice is busy [PERIOD] Alice is talented [PERIOD] Alice is muddy [PERIOD] Alice is naughty [PERIOD]
Rules:
outstanding [AND] gorgeous [AND] foolish [IMPLY] powerful [PERIOD]
vivacious [IMPLY] gorgeous [PERIOD]
jittery [AND] powerful [AND] gleaming [IMPLY] quaint [PERIOD]
jittery [AND] attentive [IMPLY] clean [PERIOD]
worrisome [AND] combative [AND] muddy [IMPLY] attentive [PERIOD]
attentive [IMPLY] powerful [PERIOD]
jittery [AND] combative [IMPLY] outstanding [PERIOD]
vivacious [AND] jittery [IMPLY] disgusted [PERIOD]
exuberant [AND] blushing [AND] tense [IMPLY] muddy [PERIOD]
exuberant [AND] muddy [AND] gorgeous [IMPLY] distinct [PERIOD]
sleepy [AND] blushing [IMPLY] busy [PERIOD]
distinct [AND] outstanding [AND] modern [IMPLY] blushing [PERIOD]
exuberant [IMPLY] vivacious [PERIOD]
jittery [IMPLY] talented [PERIOD]
powerful [AND] tense [AND] naughty [IMPLY] gleaming [PERIOD]
foolish [AND] worrisome [AND] quaint [IMPLY] gorgeous [PERIOD]
combative [IMPLY] jittery [PERIOD]
helpless [AND] talented [IMPLY] tense [PERIOD]
exuberant [AND] modern [AND] helpless [IMPLY] blushing [PERIOD]
sleepy [AND] clean [AND] exuberant [IMPLY] naughty [PERIOD]
tense [AND] hypocritical [AND] outstanding [IMPLY] worrisome [PERIOD]
outstanding [AND] gorgeous [IMPLY] foolish [PERIOD]
naughty [AND] quaint [AND] gorgeous [IMPLY] helpless [PERIOD]
outstanding [AND] foolish [IMPLY] jittery [PERIOD]
foolish [AND] exuberant [IMPLY] gleaming [PERIOD]
vivacious [IMPLY] sleepy [PERIOD]
modern [IMPLY] sleepy [PERIOD]
clean [AND] tense [IMPLY] outstanding [PERIOD]
gorgeous [AND] gleaming [AND] tense [IMPLY] busy [PERIOD]
disgusted [AND] gorgeous [AND] tense [IMPLY] sleepy [PERIOD]
jittery [AND] attentive [IMPLY] helpless [PERIOD]
sleepy [IMPLY] clean [PERIOD]
modern [AND] exuberant [IMPLY] gleaming [PERIOD]
gleaming [IMPLY] combative [PERIOD]
tense [AND] attentive [AND] foolish [IMPLY] outstanding [PERIOD]
outstanding [AND] attentive [IMPLY] foolish [PERIOD]
blushing [IMPLY] outstanding [PERIOD]
vivacious [AND] helpless [AND] gleaming [IMPLY] worrisome [PERIOD]
sleepy [IMPLY] muddy [PERIOD]
helpless [IMPLY] gorgeous [PERIOD]
vivacious [AND] disgusted [IMPLY] talented [PERIOD]
distinct [AND] foolish [IMPLY] attentive [PERIOD]
foolish [AND] muddy [IMPLY] quaint [PERIOD]
modern [IMPLY] exuberant [PERIOD]
naughty [AND] modern [IMPLY] powerful [PERIOD]
jittery [AND] blushing [IMPLY] muddy [PERIOD]
muddy [IMPLY] foolish [PERIOD]
helpless [AND] combative [IMPLY] blushing [PERIOD]
jittery [IMPLY] disgusted [PERIOD]
hypocritical [AND] powerful [IMPLY] foolish [PERIOD]
busy [IMPLY] exuberant [PERIOD]
outstanding [AND] foolish [AND] naughty [IMPLY] gleaming [PERIOD]
exuberant [AND] gorgeous [AND] jittery [IMPLY] muddy [PERIOD]
modern [AND] attentive [AND] distinct [IMPLY] disgusted [PERIOD]
busy [IMPLY] modern [PERIOD]
talented [IMPLY] jittery [PERIOD]
combative [IMPLY] clean [PERIOD]
vivacious [IMPLY] helpless [PERIOD]
exuberant [IMPLY] clean [PERIOD]
gleaming [IMPLY] outstanding [PERIOD]
naughty [IMPLY] exuberant [PERIOD]
vivacious [IMPLY] hypocritical [PERIOD]
tense [AND] combative [IMPLY] foolish [PERIOD]
quaint [AND] exuberant [IMPLY] clean [PERIOD]
talented [AND] foolish [AND] attentive [IMPLY] jittery [PERIOD]
combative [IMPLY] naughty [PERIOD]
quaint [AND] talented [AND] helpless [IMPLY] naughty [PERIOD]
powerful [AND] naughty [AND] busy [IMPLY] foolish [PERIOD]
hypocritical [AND] combative [IMPLY] muddy [PERIOD]
modern [AND] talented [IMPLY] hypocritical [PERIOD]
distinct [AND] helpless [IMPLY] gorgeous [PERIOD]
gorgeous [AND] vivacious [AND] naughty [IMPLY] clean [PERIOD]
hypocritical [AND] sleepy [AND] tense [IMPLY] quaint [PERIOD]
gorgeous [AND] attentive [AND] busy [IMPLY] hypocritical [PERIOD]
talented [AND] disgusted [IMPLY] vivacious [PERIOD]
modern [IMPLY] attentive [PERIOD]
distinct [AND] vivacious [IMPLY] gleaming [PERIOD]
foolish [AND] helpless [AND] hypocritical [IMPLY] gleaming [PERIOD]
naughty [AND] modern [IMPLY] outstanding [PERIOD]
tense [IMPLY] muddy [PERIOD]
worrisome [IMPLY] powerful [PERIOD]
blushing [IMPLY] modern [PERIOD]
foolish [AND] blushing [AND] tense [IMPLY] clean [PERIOD]
vivacious [IMPLY] blushing [PERIOD]
helpless [IMPLY] disgusted [PERIOD]
tense [AND] talented [IMPLY] distinct [PERIOD]
blushing [AND] distinct [AND] foolish [IMPLY] clean [PERIOD]
modern [AND] quaint [AND] disgusted [IMPLY] attentive [PERIOD]
hypocritical [AND] gleaming [IMPLY] naughty [PERIOD]
quaint [IMPLY] tense [PERIOD]
busy [AND] foolish [AND] hypocritical [IMPLY] helpless [PERIOD]
Query: Alice is naughty [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is witty [PERIOD] Alice is bad-tempered [PERIOD] Alice is wandering [PERIOD] Alice is fearless [PERIOD] Alice is different [PERIOD]
Rules:
wandering [AND] crowded [AND] sincere [IMPLY] old-fashioned [PERIOD]
serious [AND] sleepy [AND] enchanting [IMPLY] old-fashioned [PERIOD]
pleasant [AND] enchanting [IMPLY] bad-tempered [PERIOD]
sleepy [IMPLY] enchanting [PERIOD]
wandering [IMPLY] curious [PERIOD]
sincere [AND] witty [AND] strange [IMPLY] pleasant [PERIOD]
pleasant [AND] curious [IMPLY] crowded [PERIOD]
crowded [AND] serious [IMPLY] wandering [PERIOD]
strange [AND] pleasant [AND] witty [IMPLY] old-fashioned [PERIOD]
curious [AND] fearless [IMPLY] strange [PERIOD]
different [IMPLY] sleepy [PERIOD]
fearless [AND] strange [AND] enchanting [IMPLY] serious [PERIOD]
pleasant [AND] serious [AND] different [IMPLY] strange [PERIOD]
different [AND] fearless [AND] bad-tempered [IMPLY] sleepy [PERIOD]
strange [AND] curious [IMPLY] sleepy [PERIOD]
fearless [AND] sincere [AND] wandering [IMPLY] pleasant [PERIOD]
sincere [IMPLY] wandering [PERIOD]
strange [AND] curious [AND] sincere [IMPLY] witty [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   wandering ⇒ curious
   curious ∧ fearless ⇒ strange
   Cannot apply rule “sincere ∧ witty ∧ strange ⇒ pleasant” because missing: sincere.
   Cannot apply rule “fearless ∧ sincere ∧ wandering ⇒ pleasant” because missing: sincere.
",0,4
"Facts:  Alice is fragile [PERIOD] Alice is disobedient [PERIOD] Alice is broad-minded [PERIOD] Alice is impatient [PERIOD] Alice is agreeable [PERIOD] Alice is easy [PERIOD] Alice is difficult [PERIOD] Alice is distinct [PERIOD] Alice is fearless [PERIOD] Alice is wandering [PERIOD] Alice is scared [PERIOD] Alice is crowded [PERIOD] Alice is muddy [PERIOD] Alice is average [PERIOD] Alice is good [PERIOD] Alice is worried [PERIOD] Alice is smart [PERIOD] Alice is shy [PERIOD] Alice is wide-eyed [PERIOD] Alice is hurt [PERIOD] Alice is bad-tempered [PERIOD] Alice is impartial [PERIOD] Alice is cooperative [PERIOD]
Rules:
helpless [IMPLY] impartial [PERIOD]
fearless [AND] average [IMPLY] distinct [PERIOD]
muddy [AND] hurt [IMPLY] disobedient [PERIOD]
bright [AND] bad-tempered [IMPLY] hurt [PERIOD]
wrong [AND] bright [IMPLY] attractive [PERIOD]
impatient [AND] bad-tempered [IMPLY] wandering [PERIOD]
cooperative [AND] impartial [IMPLY] crowded [PERIOD]
bad-tempered [IMPLY] agreeable [PERIOD]
helpless [AND] fragile [AND] agreeable [IMPLY] smart [PERIOD]
fearless [IMPLY] wrong [PERIOD]
wrong [IMPLY] shy [PERIOD]
hurt [AND] muddy [AND] difficult [IMPLY] cooperative [PERIOD]
difficult [AND] scared [AND] impartial [IMPLY] bad-tempered [PERIOD]
fearless [IMPLY] hurt [PERIOD]
disobedient [AND] shy [IMPLY] attractive [PERIOD]
muddy [AND] fragile [AND] helpless [IMPLY] agreeable [PERIOD]
bad-tempered [AND] fearless [AND] attractive [IMPLY] difficult [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   disobedient ∧ shy ⇒ attractive
",1,1
"Facts:  Alice is wide-eyed [PERIOD]
Rules:
proud [AND] disobedient [AND] long [IMPLY] careless [PERIOD]
wide-eyed [AND] careless [IMPLY] long [PERIOD]
careless [AND] proud [AND] wide-eyed [IMPLY] long [PERIOD]
proud [AND] wide-eyed [AND] disobedient [IMPLY] long [PERIOD]
careless [IMPLY] disobedient [PERIOD]
wide-eyed [IMPLY] proud [PERIOD]
wide-eyed [IMPLY] disobedient [PERIOD]
proud [AND] careless [IMPLY] long [PERIOD]
careless [IMPLY] proud [PERIOD]
long [IMPLY] careless [PERIOD]
careless [AND] proud [IMPLY] disobedient [PERIOD]
disobedient [AND] careless [AND] wide-eyed [IMPLY] long [PERIOD]
proud [IMPLY] disobedient [PERIOD]
Query: Alice is careless [PERIOD]","Proof chain:
   wide-eyed ⇒ proud
   wide-eyed ⇒ disobedient
   wide-eyed ⇒ proud
   wide-eyed ⇒ disobedient
   proud ∧ wide-eyed ∧ disobedient ⇒ long
   proud ∧ disobedient ∧ long ⇒ careless
",1,6
"Facts:  Alice is popular [PERIOD]
Rules:
clean [IMPLY] elegant [PERIOD]
witty [AND] lucky [IMPLY] clean [PERIOD]
stubborn [AND] outrageous [AND] shiny [IMPLY] sincere [PERIOD]
enchanting [AND] uptight [IMPLY] clean [PERIOD]
outrageous [IMPLY] witty [PERIOD]
enchanting [AND] embarrassed [AND] popular [IMPLY] clean [PERIOD]
outrageous [AND] stubborn [AND] troubled [IMPLY] enchanting [PERIOD]
clean [AND] rude [IMPLY] elegant [PERIOD]
shiny [IMPLY] friendly [PERIOD]
outrageous [AND] clean [AND] lucky [IMPLY] light [PERIOD]
enchanting [AND] lucky [IMPLY] elegant [PERIOD]
rude [AND] serious [IMPLY] embarrassed [PERIOD]
uptight [AND] enchanting [AND] stubborn [IMPLY] lucky [PERIOD]
shiny [IMPLY] lucky [PERIOD]
witty [AND] stubborn [IMPLY] serious [PERIOD]
serious [AND] elegant [IMPLY] light [PERIOD]
sincere [AND] lucky [IMPLY] uptight [PERIOD]
popular [AND] outrageous [AND] stubborn [IMPLY] witty [PERIOD]
serious [IMPLY] popular [PERIOD]
stubborn [AND] outrageous [IMPLY] troubled [PERIOD]
friendly [AND] sincere [IMPLY] serious [PERIOD]
sincere [AND] serious [AND] stubborn [IMPLY] clean [PERIOD]
stubborn [IMPLY] clean [PERIOD]
friendly [IMPLY] stubborn [PERIOD]
witty [AND] enchanting [AND] rude [IMPLY] uptight [PERIOD]
uptight [AND] shiny [AND] lucky [IMPLY] light [PERIOD]
light [AND] serious [IMPLY] lucky [PERIOD]
stubborn [AND] light [IMPLY] sincere [PERIOD]
stubborn [IMPLY] embarrassed [PERIOD]
rude [AND] clean [IMPLY] outrageous [PERIOD]
clean [AND] sincere [AND] witty [IMPLY] outrageous [PERIOD]
sincere [AND] shiny [IMPLY] light [PERIOD]
uptight [AND] witty [IMPLY] light [PERIOD]
lucky [IMPLY] troubled [PERIOD]
shiny [AND] popular [IMPLY] light [PERIOD]
embarrassed [AND] clean [IMPLY] popular [PERIOD]
stubborn [AND] rude [AND] serious [IMPLY] clean [PERIOD]
clean [AND] witty [IMPLY] outrageous [PERIOD]
serious [IMPLY] witty [PERIOD]
troubled [AND] uptight [IMPLY] clean [PERIOD]
uptight [AND] serious [AND] clean [IMPLY] enchanting [PERIOD]
light [AND] embarrassed [IMPLY] friendly [PERIOD]
shiny [AND] lucky [AND] elegant [IMPLY] uptight [PERIOD]
popular [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] stubborn [PERIOD]
troubled [IMPLY] outrageous [PERIOD]
witty [IMPLY] outrageous [PERIOD]
sincere [AND] friendly [AND] uptight [IMPLY] elegant [PERIOD]
stubborn [AND] sincere [IMPLY] embarrassed [PERIOD]
shiny [IMPLY] rude [PERIOD]
serious [AND] uptight [AND] shiny [IMPLY] witty [PERIOD]
shiny [AND] popular [IMPLY] clean [PERIOD]
uptight [IMPLY] rude [PERIOD]
rude [IMPLY] light [PERIOD]
witty [IMPLY] serious [PERIOD]
Query: Alice is uptight [PERIOD]","Proof chain:
   Cannot apply rule “sincere ∧ lucky ⇒ uptight” because missing: sincere, lucky.
   Cannot apply rule “witty ∧ enchanting ∧ rude ⇒ uptight” because missing: witty, enchanting, rude.
   popular ⇒ embarrassed
   embarrassed ⇒ stubborn
   stubborn ⇒ clean
   clean ⇒ elegant
   Cannot apply rule “shiny ∧ lucky ∧ elegant ⇒ uptight” because missing: shiny, lucky.
",0,7
"Facts: 
Rules:
uptight [IMPLY] frantic [PERIOD]
wrong [AND] uptight [IMPLY] worrisome [PERIOD]
uptight [IMPLY] wrong [PERIOD]
uptight [AND] wrong [AND] diplomatic [IMPLY] frantic [PERIOD]
diplomatic [AND] frantic [IMPLY] worrisome [PERIOD]
uptight [AND] diplomatic [AND] comfortable [IMPLY] frantic [PERIOD]
uptight [AND] worrisome [IMPLY] wrong [PERIOD]
uptight [AND] wrong [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] diplomatic [IMPLY] wrong [PERIOD]
worrisome [IMPLY] comfortable [PERIOD]
wide-eyed [AND] wrong [AND] frantic [IMPLY] worrisome [PERIOD]
frantic [AND] uptight [AND] comfortable [IMPLY] diplomatic [PERIOD]
comfortable [AND] uptight [IMPLY] frantic [PERIOD]
worrisome [AND] diplomatic [AND] wrong [IMPLY] wide-eyed [PERIOD]
wide-eyed [AND] wrong [IMPLY] worrisome [PERIOD]
comfortable [IMPLY] frantic [PERIOD]
wide-eyed [IMPLY] comfortable [PERIOD]
worrisome [IMPLY] diplomatic [PERIOD]
wide-eyed [IMPLY] worrisome [PERIOD]
comfortable [IMPLY] wide-eyed [PERIOD]
comfortable [AND] uptight [AND] wrong [IMPLY] worrisome [PERIOD]
worrisome [IMPLY] wrong [PERIOD]
frantic [AND] wrong [AND] worrisome [IMPLY] wide-eyed [PERIOD]
wrong [IMPLY] frantic [PERIOD]
wide-eyed [AND] worrisome [AND] comfortable [IMPLY] frantic [PERIOD]
frantic [AND] uptight [IMPLY] diplomatic [PERIOD]
uptight [AND] diplomatic [AND] wrong [IMPLY] comfortable [PERIOD]
Query: Alice is frantic [PERIOD]","Proof chain:
   Cannot apply rule “uptight ⇒ frantic” because missing: uptight.
   Cannot apply rule “uptight ∧ wrong ∧ diplomatic ⇒ frantic” because missing: uptight, wrong, diplomatic.
   Cannot apply rule “uptight ∧ diplomatic ∧ comfortable ⇒ frantic” because missing: uptight, diplomatic, comfortable.
   Cannot apply rule “comfortable ∧ uptight ⇒ frantic” because missing: comfortable, uptight.
   Cannot apply rule “comfortable ⇒ frantic” because missing: comfortable.
   Cannot apply rule “wrong ⇒ frantic” because missing: wrong.
   Cannot apply rule “wide-eyed ∧ worrisome ∧ comfortable ⇒ frantic” because missing: wide-eyed, worrisome, comfortable.
",0,7
"Facts:  Alice is inexpensive [PERIOD]
Rules:
curious [AND] silly [AND] tidy [IMPLY] reserved [PERIOD]
pessimistic [AND] helpless [IMPLY] quaint [PERIOD]
courageous [AND] reserved [AND] disgusted [IMPLY] muddy [PERIOD]
rational [AND] courageous [IMPLY] disgusted [PERIOD]
comfortable [IMPLY] ambitious [PERIOD]
stubborn [IMPLY] muddy [PERIOD]
pessimistic [AND] courageous [IMPLY] disgusted [PERIOD]
witty [AND] reserved [AND] courageous [IMPLY] straightforward [PERIOD]
versatile [IMPLY] blushing [PERIOD]
straightforward [IMPLY] stubborn [PERIOD]
reserved [AND] rational [AND] embarrassed [IMPLY] versatile [PERIOD]
straightforward [AND] blushing [IMPLY] pessimistic [PERIOD]
disgusted [IMPLY] helpless [PERIOD]
straightforward [IMPLY] pessimistic [PERIOD]
inexpensive [AND] embarrassed [AND] rational [IMPLY] disgusted [PERIOD]
rational [AND] stubborn [AND] comfortable [IMPLY] helpless [PERIOD]
straightforward [AND] troubled [IMPLY] embarrassed [PERIOD]
blushing [IMPLY] stubborn [PERIOD]
comfortable [AND] witty [AND] rational [IMPLY] helpless [PERIOD]
quaint [AND] inexpensive [IMPLY] reserved [PERIOD]
courageous [AND] reserved [AND] disgusted [IMPLY] agreeable [PERIOD]
versatile [AND] comfortable [AND] ambitious [IMPLY] stubborn [PERIOD]
comfortable [IMPLY] pessimistic [PERIOD]
inexpensive [AND] tidy [IMPLY] blushing [PERIOD]
versatile [IMPLY] ambitious [PERIOD]
reserved [AND] blushing [AND] muddy [IMPLY] stubborn [PERIOD]
courageous [AND] embarrassed [AND] curious [IMPLY] troubled [PERIOD]
quaint [AND] agreeable [AND] tidy [IMPLY] helpless [PERIOD]
witty [AND] versatile [IMPLY] inexpensive [PERIOD]
inexpensive [IMPLY] blushing [PERIOD]
stubborn [AND] straightforward [AND] reserved [IMPLY] inexpensive [PERIOD]
straightforward [IMPLY] helpless [PERIOD]
helpless [AND] comfortable [IMPLY] troubled [PERIOD]
muddy [IMPLY] stubborn [PERIOD]
disgusted [AND] comfortable [AND] quaint [IMPLY] muddy [PERIOD]
blushing [AND] witty [IMPLY] agreeable [PERIOD]
agreeable [AND] disgusted [AND] reserved [IMPLY] muddy [PERIOD]
blushing [AND] straightforward [AND] rational [IMPLY] ambitious [PERIOD]
stubborn [AND] reserved [AND] versatile [IMPLY] ambitious [PERIOD]
agreeable [AND] comfortable [IMPLY] quaint [PERIOD]
stubborn [IMPLY] courageous [PERIOD]
reserved [AND] tidy [AND] witty [IMPLY] pessimistic [PERIOD]
comfortable [IMPLY] blushing [PERIOD]
stubborn [AND] blushing [AND] versatile [IMPLY] rational [PERIOD]
ambitious [IMPLY] stubborn [PERIOD]
courageous [IMPLY] versatile [PERIOD]
curious [AND] muddy [IMPLY] quaint [PERIOD]
disgusted [AND] reserved [AND] pessimistic [IMPLY] agreeable [PERIOD]
straightforward [AND] comfortable [IMPLY] tidy [PERIOD]
witty [AND] rational [IMPLY] blushing [PERIOD]
blushing [IMPLY] silly [PERIOD]
tidy [AND] ambitious [AND] curious [IMPLY] embarrassed [PERIOD]
versatile [AND] reserved [IMPLY] rational [PERIOD]
silly [AND] witty [IMPLY] agreeable [PERIOD]
ambitious [AND] muddy [IMPLY] courageous [PERIOD]
embarrassed [AND] rational [AND] troubled [IMPLY] pessimistic [PERIOD]
courageous [AND] comfortable [AND] pessimistic [IMPLY] helpless [PERIOD]
straightforward [AND] rational [IMPLY] tidy [PERIOD]
reserved [AND] pessimistic [IMPLY] disgusted [PERIOD]
blushing [IMPLY] straightforward [PERIOD]
inexpensive [AND] rational [IMPLY] straightforward [PERIOD]
versatile [AND] rational [AND] agreeable [IMPLY] ambitious [PERIOD]
agreeable [AND] helpless [AND] stubborn [IMPLY] curious [PERIOD]
comfortable [AND] troubled [AND] reserved [IMPLY] helpless [PERIOD]
troubled [IMPLY] inexpensive [PERIOD]
comfortable [IMPLY] witty [PERIOD]
versatile [IMPLY] muddy [PERIOD]
blushing [AND] ambitious [IMPLY] reserved [PERIOD]
troubled [AND] embarrassed [AND] versatile [IMPLY] comfortable [PERIOD]
silly [AND] helpless [AND] witty [IMPLY] troubled [PERIOD]
ambitious [AND] tidy [AND] helpless [IMPLY] muddy [PERIOD]
ambitious [IMPLY] disgusted [PERIOD]
rational [AND] courageous [AND] reserved [IMPLY] versatile [PERIOD]
inexpensive [AND] versatile [IMPLY] embarrassed [PERIOD]
curious [AND] stubborn [AND] pessimistic [IMPLY] rational [PERIOD]
Query: Alice is pessimistic [PERIOD]","Proof chain:
   inexpensive ⇒ blushing
   blushing ⇒ straightforward
   inexpensive ⇒ blushing
   straightforward ∧ blushing ⇒ pessimistic
",1,4
"Facts:  Alice is precious [PERIOD] Alice is frail [PERIOD] Alice is different [PERIOD] Alice is anxious [PERIOD] Alice is alert [PERIOD]
Rules:
mysterious [AND] nervous [AND] different [IMPLY] unpleasant [PERIOD]
precious [AND] alert [AND] enchanting [IMPLY] different [PERIOD]
pessimistic [AND] excited [IMPLY] plain [PERIOD]
famous [AND] enchanting [IMPLY] precious [PERIOD]
precious [AND] pessimistic [IMPLY] alert [PERIOD]
different [AND] bossy [IMPLY] anxious [PERIOD]
excited [AND] ugliest [IMPLY] tired [PERIOD]
nervous [IMPLY] bossy [PERIOD]
alert [IMPLY] pessimistic [PERIOD]
pessimistic [AND] innocent [AND] anxious [IMPLY] excited [PERIOD]
frail [IMPLY] alert [PERIOD]
enchanting [AND] plain [AND] innocent [IMPLY] alert [PERIOD]
alert [AND] ugliest [AND] anxious [IMPLY] enchanting [PERIOD]
mysterious [IMPLY] frail [PERIOD]
excited [AND] tired [IMPLY] innocent [PERIOD]
innocent [AND] famous [AND] nervous [IMPLY] excited [PERIOD]
mysterious [IMPLY] ugliest [PERIOD]
alert [AND] plain [AND] pessimistic [IMPLY] precious [PERIOD]
pessimistic [IMPLY] tired [PERIOD]
alert [AND] famous [AND] plain [IMPLY] bossy [PERIOD]
frail [AND] tired [IMPLY] ugliest [PERIOD]
tired [AND] unpleasant [IMPLY] pessimistic [PERIOD]
alert [AND] ugliest [AND] bossy [IMPLY] enchanting [PERIOD]
excited [AND] alert [IMPLY] pessimistic [PERIOD]
frail [IMPLY] innocent [PERIOD]
pessimistic [AND] excited [AND] innocent [IMPLY] ugliest [PERIOD]
tired [AND] different [IMPLY] anxious [PERIOD]
famous [IMPLY] different [PERIOD]
nervous [IMPLY] unpleasant [PERIOD]
frail [AND] innocent [IMPLY] excited [PERIOD]
mysterious [AND] excited [IMPLY] ugliest [PERIOD]
unpleasant [IMPLY] bossy [PERIOD]
enchanting [IMPLY] tired [PERIOD]
plain [AND] unpleasant [AND] pessimistic [IMPLY] mysterious [PERIOD]
unpleasant [AND] plain [IMPLY] ugliest [PERIOD]
anxious [AND] famous [IMPLY] enchanting [PERIOD]
precious [AND] enchanting [IMPLY] pessimistic [PERIOD]
enchanting [IMPLY] nervous [PERIOD]
nervous [IMPLY] mysterious [PERIOD]
anxious [AND] different [AND] unpleasant [IMPLY] tired [PERIOD]
tired [IMPLY] plain [PERIOD]
enchanting [IMPLY] anxious [PERIOD]
precious [AND] innocent [IMPLY] ugliest [PERIOD]
ugliest [AND] excited [IMPLY] pessimistic [PERIOD]
different [AND] tired [AND] ugliest [IMPLY] frail [PERIOD]
tired [AND] famous [IMPLY] mysterious [PERIOD]
alert [AND] famous [AND] different [IMPLY] nervous [PERIOD]
alert [IMPLY] frail [PERIOD]
famous [IMPLY] ugliest [PERIOD]
Query: Alice is nervous [PERIOD]","Proof chain:
   frail ⇒ innocent
   precious ∧ innocent ⇒ ugliest
   alert ∧ ugliest ∧ anxious ⇒ enchanting
   enchanting ⇒ nervous
",1,4
"Facts:  Alice is frail [PERIOD] Alice is cute [PERIOD]
Rules:
cute [AND] broad-minded [IMPLY] fine [PERIOD]
modern [AND] broad-minded [AND] frail [IMPLY] sincere [PERIOD]
cute [AND] old-fashioned [IMPLY] shy [PERIOD]
unpleasant [AND] helpless [IMPLY] mean [PERIOD]
modern [IMPLY] helpless [PERIOD]
fine [IMPLY] helpless [PERIOD]
broad-minded [AND] shy [AND] selfish [IMPLY] attentive [PERIOD]
modern [IMPLY] grumpy [PERIOD]
frail [IMPLY] helpless [PERIOD]
helpless [AND] attentive [AND] careless [IMPLY] grumpy [PERIOD]
jittery [AND] weary [IMPLY] adorable [PERIOD]
jittery [AND] wrong [IMPLY] sleepy [PERIOD]
sleepy [AND] dishonest [IMPLY] tense [PERIOD]
weary [AND] jittery [AND] wrong [IMPLY] lucky [PERIOD]
pleasant [AND] modern [AND] victorious [IMPLY] old-fashioned [PERIOD]
modern [AND] courageous [AND] frail [IMPLY] shy [PERIOD]
broad-minded [AND] ugly [AND] frail [IMPLY] grumpy [PERIOD]
attentive [AND] victorious [IMPLY] unpleasant [PERIOD]
mean [IMPLY] pleasant [PERIOD]
sleepy [IMPLY] ugly [PERIOD]
fine [IMPLY] thoughtless [PERIOD]
courageous [IMPLY] modern [PERIOD]
weary [IMPLY] attentive [PERIOD]
old-fashioned [IMPLY] unpleasant [PERIOD]
careless [AND] ugly [IMPLY] grumpy [PERIOD]
ugly [AND] thoughtless [AND] weary [IMPLY] mean [PERIOD]
fine [AND] attentive [IMPLY] dishonest [PERIOD]
sleepy [IMPLY] courageous [PERIOD]
thoughtless [AND] grumpy [AND] fine [IMPLY] old-fashioned [PERIOD]
grumpy [AND] thoughtless [IMPLY] sleepy [PERIOD]
unpleasant [AND] ugly [AND] adorable [IMPLY] attentive [PERIOD]
cooperative [AND] modern [IMPLY] careless [PERIOD]
courageous [AND] adorable [AND] victorious [IMPLY] grumpy [PERIOD]
helpless [AND] grumpy [AND] unpleasant [IMPLY] attentive [PERIOD]
attentive [AND] pleasant [AND] troubled [IMPLY] ugly [PERIOD]
sleepy [IMPLY] careless [PERIOD]
courageous [AND] grumpy [IMPLY] broad-minded [PERIOD]
grumpy [IMPLY] pleasant [PERIOD]
careless [IMPLY] modern [PERIOD]
shy [AND] cute [IMPLY] troubled [PERIOD]
jittery [IMPLY] sleepy [PERIOD]
courageous [AND] jittery [IMPLY] broad-minded [PERIOD]
cooperative [AND] old-fashioned [IMPLY] mean [PERIOD]
Query: Alice is attentive [PERIOD]","Proof chain:
   Cannot apply rule “broad-minded ∧ shy ∧ selfish ⇒ attentive” because missing: broad-minded, shy, selfish.
   Cannot apply rule “weary ⇒ attentive” because missing: weary.
   Cannot apply rule “unpleasant ∧ ugly ∧ adorable ⇒ attentive” because missing: unpleasant, ugly, adorable.
   frail ⇒ helpless
   Cannot apply rule “helpless ∧ grumpy ∧ unpleasant ⇒ attentive” because missing: grumpy, unpleasant.
",0,5
"Facts: 
Rules:
clumsy [AND] reserved [AND] versatile [IMPLY] agreeable [PERIOD]
agreeable [AND] easy [AND] cooperative [IMPLY] reserved [PERIOD]
clumsy [IMPLY] easy [PERIOD]
versatile [AND] cooperative [AND] reserved [IMPLY] attractive [PERIOD]
attractive [AND] easy [IMPLY] cooperative [PERIOD]
clumsy [IMPLY] reserved [PERIOD]
reserved [IMPLY] clumsy [PERIOD]
agreeable [AND] reserved [AND] clumsy [IMPLY] attractive [PERIOD]
versatile [AND] clumsy [AND] easy [IMPLY] attentive [PERIOD]
agreeable [IMPLY] cooperative [PERIOD]
cooperative [AND] attractive [AND] versatile [IMPLY] attentive [PERIOD]
clumsy [AND] agreeable [AND] attentive [IMPLY] easy [PERIOD]
easy [IMPLY] attentive [PERIOD]
rude [AND] clumsy [IMPLY] versatile [PERIOD]
reserved [AND] versatile [IMPLY] cooperative [PERIOD]
reserved [AND] cooperative [AND] rude [IMPLY] agreeable [PERIOD]
rude [IMPLY] easy [PERIOD]
easy [IMPLY] versatile [PERIOD]
versatile [AND] reserved [IMPLY] attentive [PERIOD]
versatile [IMPLY] agreeable [PERIOD]
Query: Alice is agreeable [PERIOD]","Proof chain:
   Cannot apply rule “clumsy ∧ reserved ∧ versatile ⇒ agreeable” because missing: clumsy, reserved, versatile.
   Cannot apply rule “reserved ∧ cooperative ∧ rude ⇒ agreeable” because missing: reserved, cooperative, rude.
   Cannot apply rule “versatile ⇒ agreeable” because missing: versatile.
",0,3
"Facts:  Alice is disobedient [PERIOD] Alice is inquisitive [PERIOD] Alice is mysterious [PERIOD]
Rules:
helpless [IMPLY] disobedient [PERIOD]
messy [AND] helpless [AND] disobedient [IMPLY] combative [PERIOD]
helpless [AND] messy [AND] disobedient [IMPLY] rational [PERIOD]
rational [IMPLY] inquisitive [PERIOD]
combative [IMPLY] disobedient [PERIOD]
inquisitive [IMPLY] mysterious [PERIOD]
rational [IMPLY] combative [PERIOD]
messy [IMPLY] disobedient [PERIOD]
helpless [AND] rational [IMPLY] inquisitive [PERIOD]
combative [AND] helpless [IMPLY] disobedient [PERIOD]
combative [AND] disobedient [AND] helpless [IMPLY] inquisitive [PERIOD]
combative [AND] disobedient [AND] messy [IMPLY] helpless [PERIOD]
helpless [IMPLY] mysterious [PERIOD]
mysterious [AND] rational [AND] messy [IMPLY] disobedient [PERIOD]
rational [AND] combative [IMPLY] mysterious [PERIOD]
helpless [AND] inquisitive [IMPLY] disobedient [PERIOD]
helpless [AND] rational [AND] combative [IMPLY] disobedient [PERIOD]
mysterious [AND] messy [AND] inquisitive [IMPLY] combative [PERIOD]
mysterious [IMPLY] messy [PERIOD]
mysterious [AND] combative [IMPLY] rational [PERIOD]
combative [AND] helpless [IMPLY] inquisitive [PERIOD]
rational [IMPLY] mysterious [PERIOD]
Query: Alice is helpless [PERIOD]","Proof chain:
   mysterious ⇒ messy
   mysterious ∧ messy ∧ inquisitive ⇒ combative
   mysterious ⇒ messy
   combative ∧ disobedient ∧ messy ⇒ helpless
",1,4
"Facts:  Alice is gleaming [PERIOD]
Rules:
famous [AND] attractive [AND] talented [IMPLY] silly [PERIOD]
combative [AND] uptight [IMPLY] silly [PERIOD]
difficult [AND] silly [AND] combative [IMPLY] thoughtful [PERIOD]
embarrassed [AND] thoughtful [IMPLY] fine [PERIOD]
talented [AND] silly [IMPLY] attractive [PERIOD]
thoughtful [AND] gifted [IMPLY] selfish [PERIOD]
pessimistic [IMPLY] troubled [PERIOD]
thoughtful [AND] troubled [IMPLY] blushing [PERIOD]
disgusted [IMPLY] uptight [PERIOD]
embarrassed [AND] combative [IMPLY] troubled [PERIOD]
fine [IMPLY] stupid [PERIOD]
famous [AND] innocent [IMPLY] distinct [PERIOD]
disgusted [IMPLY] selfish [PERIOD]
embarrassed [AND] alert [IMPLY] blushing [PERIOD]
pessimistic [IMPLY] difficult [PERIOD]
dishonest [IMPLY] blushing [PERIOD]
fine [AND] difficult [IMPLY] disgusted [PERIOD]
pessimistic [AND] stupid [IMPLY] selfish [PERIOD]
innocent [IMPLY] pleasant [PERIOD]
attractive [AND] silly [AND] disgusted [IMPLY] troubled [PERIOD]
distinct [IMPLY] famous [PERIOD]
gleaming [IMPLY] disgusted [PERIOD]
fine [AND] fearless [AND] uptight [IMPLY] blushing [PERIOD]
pessimistic [IMPLY] disgusted [PERIOD]
fine [AND] frantic [IMPLY] pleasant [PERIOD]
Query: Alice is troubled [PERIOD]","Proof chain:
   Cannot apply rule “pessimistic ⇒ troubled” because missing: pessimistic.
   Cannot apply rule “embarrassed ∧ combative ⇒ troubled” because missing: embarrassed, combative.
   gleaming ⇒ disgusted
   Cannot apply rule “attractive ∧ silly ∧ disgusted ⇒ troubled” because missing: attractive, silly.
",0,4
"Facts:  Alice is gleaming [PERIOD] Alice is innocent [PERIOD] Alice is outrageous [PERIOD] Alice is impartial [PERIOD] Alice is thoughtful [PERIOD] Alice is sensible [PERIOD] Alice is nervous [PERIOD] Alice is elated [PERIOD] Alice is foolish [PERIOD]
Rules:
inquisitive [IMPLY] stupid [PERIOD]
excited [AND] charming [IMPLY] curious [PERIOD]
innocent [AND] curious [IMPLY] pleasant [PERIOD]
thoughtful [AND] inquisitive [AND] nervous [IMPLY] thoughtless [PERIOD]
versatile [AND] inquisitive [AND] thoughtful [IMPLY] outrageous [PERIOD]
outrageous [AND] innocent [AND] inquisitive [IMPLY] reserved [PERIOD]
old-fashioned [IMPLY] fragile [PERIOD]
thoughtful [IMPLY] supportive [PERIOD]
long [AND] inquisitive [IMPLY] hurt [PERIOD]
average [AND] bossy [IMPLY] inquisitive [PERIOD]
reserved [AND] charming [IMPLY] inquisitive [PERIOD]
thoughtless [AND] talkative [IMPLY] charming [PERIOD]
versatile [IMPLY] reserved [PERIOD]
fearless [AND] bored [IMPLY] old-fashioned [PERIOD]
impartial [AND] thoughtful [AND] pleasant [IMPLY] excited [PERIOD]
reserved [IMPLY] thoughtful [PERIOD]
thoughtful [AND] impartial [IMPLY] hurt [PERIOD]
innocent [IMPLY] bossy [PERIOD]
nervous [IMPLY] thoughtful [PERIOD]
average [AND] old-fashioned [IMPLY] talkative [PERIOD]
supportive [AND] charming [IMPLY] nervous [PERIOD]
charming [AND] inquisitive [AND] supportive [IMPLY] talkative [PERIOD]
long [AND] elated [AND] fragile [IMPLY] innocent [PERIOD]
outrageous [AND] inquisitive [IMPLY] sensible [PERIOD]
impartial [AND] gleaming [IMPLY] fearless [PERIOD]
foolish [AND] charming [AND] versatile [IMPLY] elated [PERIOD]
nervous [IMPLY] stupid [PERIOD]
average [IMPLY] hurt [PERIOD]
bossy [AND] excited [AND] long [IMPLY] fearless [PERIOD]
gleaming [AND] foolish [IMPLY] bored [PERIOD]
nervous [IMPLY] supportive [PERIOD]
sensible [IMPLY] curious [PERIOD]
inquisitive [AND] curious [IMPLY] gleaming [PERIOD]
supportive [AND] fearless [IMPLY] impartial [PERIOD]
charming [AND] average [AND] stupid [IMPLY] bossy [PERIOD]
supportive [AND] impartial [AND] talkative [IMPLY] bossy [PERIOD]
talkative [AND] foolish [AND] thoughtful [IMPLY] supportive [PERIOD]
average [IMPLY] fragile [PERIOD]
gleaming [AND] foolish [AND] talkative [IMPLY] charming [PERIOD]
versatile [AND] long [AND] reserved [IMPLY] thoughtful [PERIOD]
nervous [IMPLY] bossy [PERIOD]
sensible [AND] gleaming [IMPLY] fragile [PERIOD]
charming [AND] fearless [IMPLY] talkative [PERIOD]
stupid [AND] average [IMPLY] excited [PERIOD]
thoughtful [AND] average [AND] charming [IMPLY] foolish [PERIOD]
fearless [IMPLY] curious [PERIOD]
excited [AND] pleasant [AND] gleaming [IMPLY] nervous [PERIOD]
excited [AND] reserved [AND] thoughtless [IMPLY] foolish [PERIOD]
reserved [AND] charming [IMPLY] supportive [PERIOD]
inquisitive [IMPLY] impartial [PERIOD]
stupid [AND] bored [IMPLY] thoughtless [PERIOD]
thoughtful [IMPLY] long [PERIOD]
old-fashioned [AND] curious [AND] sensible [IMPLY] outrageous [PERIOD]
reserved [IMPLY] stupid [PERIOD]
versatile [IMPLY] outrageous [PERIOD]
charming [IMPLY] fearless [PERIOD]
old-fashioned [AND] foolish [AND] nervous [IMPLY] average [PERIOD]
reserved [AND] inquisitive [AND] bossy [IMPLY] versatile [PERIOD]
reserved [AND] long [IMPLY] fragile [PERIOD]
thoughtful [AND] reserved [IMPLY] bossy [PERIOD]
innocent [IMPLY] pleasant [PERIOD]
pleasant [AND] thoughtless [AND] reserved [IMPLY] charming [PERIOD]
long [AND] thoughtful [IMPLY] curious [PERIOD]
versatile [AND] curious [AND] thoughtful [IMPLY] average [PERIOD]
stupid [IMPLY] innocent [PERIOD]
excited [AND] versatile [IMPLY] fragile [PERIOD]
curious [AND] innocent [IMPLY] gleaming [PERIOD]
thoughtless [IMPLY] thoughtful [PERIOD]
outrageous [IMPLY] versatile [PERIOD]
old-fashioned [AND] excited [IMPLY] stupid [PERIOD]
long [AND] versatile [AND] thoughtless [IMPLY] pleasant [PERIOD]
old-fashioned [AND] charming [AND] bored [IMPLY] thoughtful [PERIOD]
Query: Alice is talkative [PERIOD]","Proof chain:
   outrageous ⇒ versatile
   sensible ⇒ curious
   versatile ∧ curious ∧ thoughtful ⇒ average
   impartial ∧ gleaming ⇒ fearless
   gleaming ∧ foolish ⇒ bored
   fearless ∧ bored ⇒ old-fashioned
   average ∧ old-fashioned ⇒ talkative
",1,7
"Facts:  Alice is embarrassed [PERIOD] Alice is stubborn [PERIOD]
Rules:
clean [AND] horrible [IMPLY] diplomatic [PERIOD]
silly [AND] outrageous [AND] disgusted [IMPLY] dishonest [PERIOD]
disgusted [AND] cute [AND] glamorous [IMPLY] outrageous [PERIOD]
horrible [AND] glamorous [AND] shiny [IMPLY] sleepy [PERIOD]
stupid [AND] clean [IMPLY] silly [PERIOD]
stupid [AND] quaint [AND] pessimistic [IMPLY] frightened [PERIOD]
ambitious [AND] bad-tempered [IMPLY] smart [PERIOD]
horrible [AND] outrageous [AND] dishonest [IMPLY] shiny [PERIOD]
talkative [AND] serious [AND] glamorous [IMPLY] outrageous [PERIOD]
clean [AND] glamorous [AND] shiny [IMPLY] silly [PERIOD]
outrageous [AND] stupid [IMPLY] distinct [PERIOD]
lonely [IMPLY] sleepy [PERIOD]
good [AND] clean [IMPLY] glamorous [PERIOD]
ambitious [AND] stubborn [AND] good [IMPLY] serious [PERIOD]
quaint [AND] silly [AND] disgusted [IMPLY] stupid [PERIOD]
stubborn [IMPLY] cute [PERIOD]
ugliest [AND] lonely [AND] good [IMPLY] talkative [PERIOD]
serious [AND] dishonest [AND] embarrassed [IMPLY] cute [PERIOD]
good [AND] talkative [AND] pessimistic [IMPLY] ambitious [PERIOD]
embarrassed [IMPLY] smart [PERIOD]
sleepy [IMPLY] silly [PERIOD]
talkative [IMPLY] serious [PERIOD]
serious [AND] distinct [AND] smart [IMPLY] cute [PERIOD]
outrageous [IMPLY] stupid [PERIOD]
lonely [AND] frightened [AND] ugliest [IMPLY] stupid [PERIOD]
embarrassed [IMPLY] sleepy [PERIOD]
glamorous [IMPLY] horrible [PERIOD]
silly [AND] sleepy [IMPLY] distinct [PERIOD]
stubborn [AND] cute [IMPLY] ambitious [PERIOD]
silly [IMPLY] glamorous [PERIOD]
stupid [IMPLY] glamorous [PERIOD]
distinct [AND] horrible [AND] dishonest [IMPLY] pessimistic [PERIOD]
serious [IMPLY] outrageous [PERIOD]
distinct [AND] horrible [AND] pessimistic [IMPLY] glamorous [PERIOD]
glamorous [AND] distinct [AND] sleepy [IMPLY] ambitious [PERIOD]
quaint [AND] outrageous [IMPLY] stupid [PERIOD]
bad-tempered [IMPLY] dishonest [PERIOD]
frightened [AND] cute [AND] pessimistic [IMPLY] stupid [PERIOD]
dishonest [AND] glamorous [AND] shiny [IMPLY] horrible [PERIOD]
diplomatic [AND] shiny [AND] stubborn [IMPLY] ugliest [PERIOD]
ugliest [AND] diplomatic [AND] serious [IMPLY] quaint [PERIOD]
distinct [AND] dishonest [IMPLY] clean [PERIOD]
dishonest [IMPLY] stubborn [PERIOD]
distinct [IMPLY] ambitious [PERIOD]
cute [IMPLY] outrageous [PERIOD]
embarrassed [AND] good [IMPLY] horrible [PERIOD]
stubborn [AND] ambitious [AND] glamorous [IMPLY] sleepy [PERIOD]
diplomatic [AND] lonely [IMPLY] horrible [PERIOD]
silly [AND] diplomatic [AND] clean [IMPLY] serious [PERIOD]
distinct [AND] serious [AND] dishonest [IMPLY] quaint [PERIOD]
Query: Alice is quaint [PERIOD]","Proof chain:
   Cannot apply rule “ugliest ∧ diplomatic ∧ serious ⇒ quaint” because missing: ugliest, diplomatic, serious.
   embarrassed ⇒ sleepy
   sleepy ⇒ silly
   embarrassed ⇒ sleepy
   silly ∧ sleepy ⇒ distinct
   Cannot apply rule “distinct ∧ serious ∧ dishonest ⇒ quaint” because missing: serious, dishonest.
",0,6
"Facts:  Alice is muddy [PERIOD]
Rules:
curious [AND] attentive [IMPLY] sleepy [PERIOD]
careless [AND] silly [IMPLY] curious [PERIOD]
fragile [AND] muddy [IMPLY] perfect [PERIOD]
muddy [IMPLY] perfect [PERIOD]
careless [IMPLY] muddy [PERIOD]
frantic [AND] fragile [IMPLY] sleepy [PERIOD]
attentive [AND] uptight [IMPLY] fragile [PERIOD]
jittery [IMPLY] distinct [PERIOD]
attentive [AND] silly [IMPLY] dishonest [PERIOD]
agreeable [AND] silly [IMPLY] distinct [PERIOD]
condemned [AND] fragile [IMPLY] curious [PERIOD]
distinct [AND] silly [IMPLY] fragile [PERIOD]
attentive [AND] jittery [AND] adorable [IMPLY] frantic [PERIOD]
dishonest [AND] fragile [IMPLY] frantic [PERIOD]
condemned [IMPLY] uptight [PERIOD]
sleepy [IMPLY] adorable [PERIOD]
agreeable [AND] elated [AND] frantic [IMPLY] careless [PERIOD]
muddy [AND] adorable [AND] fragile [IMPLY] curious [PERIOD]
agreeable [IMPLY] perfect [PERIOD]
dishonest [AND] adorable [IMPLY] condemned [PERIOD]
sleepy [IMPLY] dishonest [PERIOD]
attentive [AND] curious [AND] careless [IMPLY] agreeable [PERIOD]
silly [IMPLY] perfect [PERIOD]
muddy [AND] elated [AND] silly [IMPLY] careless [PERIOD]
agreeable [IMPLY] fragile [PERIOD]
frantic [AND] attentive [IMPLY] distinct [PERIOD]
distinct [AND] attentive [IMPLY] sleepy [PERIOD]
careless [AND] uptight [IMPLY] condemned [PERIOD]
uptight [IMPLY] attentive [PERIOD]
jittery [IMPLY] adorable [PERIOD]
frantic [AND] condemned [IMPLY] elated [PERIOD]
distinct [AND] silly [IMPLY] agreeable [PERIOD]
careless [AND] adorable [IMPLY] jittery [PERIOD]
uptight [IMPLY] distinct [PERIOD]
curious [AND] agreeable [AND] careless [IMPLY] elated [PERIOD]
uptight [AND] agreeable [IMPLY] distinct [PERIOD]
adorable [AND] muddy [IMPLY] dishonest [PERIOD]
curious [AND] sleepy [AND] muddy [IMPLY] careless [PERIOD]
adorable [AND] elated [AND] dishonest [IMPLY] attentive [PERIOD]
dishonest [AND] condemned [IMPLY] sleepy [PERIOD]
sleepy [AND] elated [IMPLY] dishonest [PERIOD]
sleepy [AND] silly [AND] muddy [IMPLY] curious [PERIOD]
perfect [IMPLY] frantic [PERIOD]
condemned [AND] adorable [IMPLY] jittery [PERIOD]
silly [AND] perfect [IMPLY] agreeable [PERIOD]
adorable [AND] curious [IMPLY] elated [PERIOD]
condemned [AND] fragile [IMPLY] adorable [PERIOD]
attentive [AND] fragile [AND] careless [IMPLY] adorable [PERIOD]
distinct [AND] curious [IMPLY] sleepy [PERIOD]
fragile [AND] agreeable [AND] curious [IMPLY] elated [PERIOD]
dishonest [IMPLY] jittery [PERIOD]
silly [IMPLY] careless [PERIOD]
frantic [AND] elated [IMPLY] muddy [PERIOD]
distinct [IMPLY] elated [PERIOD]
adorable [IMPLY] dishonest [PERIOD]
careless [AND] curious [AND] elated [IMPLY] distinct [PERIOD]
Query: Alice is curious [PERIOD]","Proof chain:
   Cannot apply rule “careless ∧ silly ⇒ curious” because missing: careless, silly.
   Cannot apply rule “condemned ∧ fragile ⇒ curious” because missing: condemned, fragile.
   Cannot apply rule “muddy ∧ adorable ∧ fragile ⇒ curious” because missing: adorable, fragile.
   Cannot apply rule “sleepy ∧ silly ∧ muddy ⇒ curious” because missing: sleepy, silly.
",0,4
"Facts:  Alice is gifted [PERIOD] Alice is ugliest [PERIOD] Alice is outstanding [PERIOD] Alice is silly [PERIOD] Alice is comfortable [PERIOD]
Rules:
precious [IMPLY] jittery [PERIOD]
calm [IMPLY] silly [PERIOD]
comfortable [AND] dishonest [AND] thoughtful [IMPLY] gifted [PERIOD]
precious [AND] gifted [IMPLY] clumsy [PERIOD]
distinct [AND] intellectual [IMPLY] jittery [PERIOD]
thoughtful [IMPLY] jittery [PERIOD]
dishonest [AND] calm [AND] jittery [IMPLY] thoughtful [PERIOD]
comfortable [IMPLY] silly [PERIOD]
clumsy [AND] intellectual [AND] ugliest [IMPLY] distinct [PERIOD]
gifted [IMPLY] precious [PERIOD]
jittery [AND] ugliest [AND] precious [IMPLY] calm [PERIOD]
silly [AND] calm [IMPLY] comfortable [PERIOD]
jittery [IMPLY] intellectual [PERIOD]
glamorous [AND] thoughtful [AND] precious [IMPLY] ugliest [PERIOD]
glamorous [AND] jittery [IMPLY] intellectual [PERIOD]
clumsy [IMPLY] silly [PERIOD]
Query: Alice is intellectual [PERIOD]","Proof chain:
   gifted ⇒ precious
   precious ⇒ jittery
   jittery ⇒ intellectual
",1,3
"Facts: 
Rules:
foolish [IMPLY] victorious [PERIOD]
cute [AND] victorious [IMPLY] wandering [PERIOD]
attractive [AND] famous [IMPLY] helpful [PERIOD]
famous [IMPLY] attractive [PERIOD]
victorious [AND] foolish [AND] wandering [IMPLY] helpful [PERIOD]
diplomatic [AND] attractive [IMPLY] foolish [PERIOD]
victorious [AND] cute [AND] wandering [IMPLY] helpful [PERIOD]
victorious [AND] diplomatic [AND] cute [IMPLY] famous [PERIOD]
cute [IMPLY] helpful [PERIOD]
cute [AND] famous [IMPLY] attractive [PERIOD]
diplomatic [AND] cute [AND] wandering [IMPLY] famous [PERIOD]
diplomatic [AND] famous [AND] helpful [IMPLY] cute [PERIOD]
diplomatic [AND] victorious [AND] helpful [IMPLY] famous [PERIOD]
wandering [IMPLY] cute [PERIOD]
Query: Alice is helpful [PERIOD]","Proof chain:
   Cannot apply rule “attractive ∧ famous ⇒ helpful” because missing: attractive, famous.
   Cannot apply rule “victorious ∧ foolish ∧ wandering ⇒ helpful” because missing: victorious, foolish, wandering.
   Cannot apply rule “victorious ∧ cute ∧ wandering ⇒ helpful” because missing: victorious, cute, wandering.
   Cannot apply rule “cute ⇒ helpful” because missing: cute.
",0,4
"Facts:  Alice is shy [PERIOD]
Rules:
shy [IMPLY] perfect [PERIOD]
stupid [AND] pleasant [AND] wrong [IMPLY] perfect [PERIOD]
spotless [AND] perfect [AND] pleasant [IMPLY] nervous [PERIOD]
polite [AND] helpful [AND] perfect [IMPLY] shy [PERIOD]
stupid [AND] helpful [IMPLY] polite [PERIOD]
wrong [IMPLY] spotless [PERIOD]
helpful [AND] stupid [AND] perfect [IMPLY] spotless [PERIOD]
polite [AND] spotless [AND] stupid [IMPLY] helpful [PERIOD]
helpful [IMPLY] spotless [PERIOD]
stupid [AND] nervous [IMPLY] bored [PERIOD]
helpful [AND] bored [AND] wrong [IMPLY] perfect [PERIOD]
perfect [IMPLY] wrong [PERIOD]
bored [AND] wrong [AND] stupid [IMPLY] shy [PERIOD]
spotless [IMPLY] stupid [PERIOD]
polite [IMPLY] wrong [PERIOD]
pleasant [AND] helpful [AND] wrong [IMPLY] spotless [PERIOD]
nervous [IMPLY] supportive [PERIOD]
spotless [AND] perfect [IMPLY] polite [PERIOD]
bored [AND] wrong [AND] perfect [IMPLY] pleasant [PERIOD]
perfect [AND] spotless [IMPLY] helpful [PERIOD]
wrong [IMPLY] stupid [PERIOD]
pleasant [AND] supportive [AND] stupid [IMPLY] spotless [PERIOD]
pleasant [AND] stupid [IMPLY] polite [PERIOD]
stupid [AND] bored [IMPLY] polite [PERIOD]
helpful [AND] pleasant [IMPLY] wrong [PERIOD]
polite [AND] nervous [AND] shy [IMPLY] helpful [PERIOD]
perfect [AND] supportive [AND] shy [IMPLY] stupid [PERIOD]
helpful [AND] shy [IMPLY] pleasant [PERIOD]
perfect [IMPLY] confident [PERIOD]
nervous [AND] confident [IMPLY] stupid [PERIOD]
polite [IMPLY] shy [PERIOD]
pleasant [IMPLY] nervous [PERIOD]
bored [AND] nervous [IMPLY] stupid [PERIOD]
nervous [AND] polite [AND] spotless [IMPLY] perfect [PERIOD]
stupid [AND] polite [AND] spotless [IMPLY] nervous [PERIOD]
helpful [IMPLY] pleasant [PERIOD]
pleasant [AND] polite [AND] perfect [IMPLY] wrong [PERIOD]
pleasant [AND] supportive [AND] confident [IMPLY] shy [PERIOD]
Query: Alice is pleasant [PERIOD]","Proof chain:
   shy ⇒ perfect
   shy ⇒ perfect
   perfect ⇒ wrong
   wrong ⇒ spotless
   perfect ∧ spotless ⇒ helpful
   helpful ∧ shy ⇒ pleasant
",1,6
"Facts:  Alice is hurt [PERIOD] Alice is homely [PERIOD] Alice is strange [PERIOD]
Rules:
attractive [AND] helpful [AND] victorious [IMPLY] agreeable [PERIOD]
vivacious [IMPLY] charming [PERIOD]
good [AND] hurt [IMPLY] helpful [PERIOD]
helpful [IMPLY] agreeable [PERIOD]
attractive [IMPLY] courageous [PERIOD]
vivacious [AND] attractive [IMPLY] victorious [PERIOD]
Query: Alice is attractive [PERIOD]","Proof chain:
   No rule concludes “attractive.”
",0,1
"Facts:  Alice is scared [PERIOD] Alice is selfish [PERIOD] Alice is agreeable [PERIOD] Alice is excited [PERIOD] Alice is powerful [PERIOD] Alice is confused [PERIOD]
Rules:
selfish [IMPLY] anxious [PERIOD]
excited [AND] popular [AND] grumpy [IMPLY] perfect [PERIOD]
outstanding [IMPLY] scared [PERIOD]
scared [AND] excited [AND] powerful [IMPLY] outstanding [PERIOD]
scared [AND] distinct [IMPLY] excited [PERIOD]
distinct [IMPLY] dull [PERIOD]
horrible [AND] adorable [AND] talkative [IMPLY] anxious [PERIOD]
powerful [AND] distinct [IMPLY] scared [PERIOD]
distinct [AND] outstanding [AND] grumpy [IMPLY] adorable [PERIOD]
distinct [IMPLY] anxious [PERIOD]
horrible [AND] adorable [IMPLY] grumpy [PERIOD]
popular [AND] confused [AND] victorious [IMPLY] selfish [PERIOD]
grumpy [AND] anxious [IMPLY] confused [PERIOD]
victorious [IMPLY] agreeable [PERIOD]
popular [AND] horrible [AND] confused [IMPLY] adorable [PERIOD]
selfish [AND] perfect [IMPLY] popular [PERIOD]
distinct [IMPLY] perfect [PERIOD]
grumpy [AND] powerful [IMPLY] selfish [PERIOD]
distinct [AND] adorable [AND] confused [IMPLY] agreeable [PERIOD]
outstanding [AND] adorable [AND] horrible [IMPLY] cruel [PERIOD]
confused [AND] powerful [AND] outstanding [IMPLY] adorable [PERIOD]
scared [AND] selfish [IMPLY] agreeable [PERIOD]
adorable [IMPLY] victorious [PERIOD]
Query: Alice is victorious [PERIOD]","Proof chain:
   scared ∧ excited ∧ powerful ⇒ outstanding
   confused ∧ powerful ∧ outstanding ⇒ adorable
   adorable ⇒ victorious
",1,3
"Facts:  Alice is helpless [PERIOD] Alice is zealous [PERIOD] Alice is pleasant [PERIOD] Alice is hypocritical [PERIOD] Alice is victorious [PERIOD] Alice is glamorous [PERIOD] Alice is grumpy [PERIOD]
Rules:
embarrassed [IMPLY] gleaming [PERIOD]
powerful [AND] elegant [AND] fearless [IMPLY] embarrassed [PERIOD]
attentive [IMPLY] famous [PERIOD]
charming [AND] condemned [IMPLY] dull [PERIOD]
mean [IMPLY] careless [PERIOD]
elegant [IMPLY] condemned [PERIOD]
victorious [AND] muddy [IMPLY] grumpy [PERIOD]
muddy [IMPLY] zealous [PERIOD]
elegant [IMPLY] hypocritical [PERIOD]
mean [IMPLY] average [PERIOD]
dull [IMPLY] spotless [PERIOD]
attentive [IMPLY] embarrassed [PERIOD]
hypocritical [AND] pleasant [AND] gleaming [IMPLY] famous [PERIOD]
attentive [IMPLY] average [PERIOD]
attentive [AND] hypocritical [AND] embarrassed [IMPLY] versatile [PERIOD]
zealous [AND] victorious [AND] frail [IMPLY] wandering [PERIOD]
attentive [AND] famous [IMPLY] powerful [PERIOD]
victorious [AND] pleasant [AND] amused [IMPLY] alert [PERIOD]
attentive [AND] versatile [AND] average [IMPLY] zealous [PERIOD]
charming [AND] elegant [AND] hypocritical [IMPLY] average [PERIOD]
muddy [AND] charming [IMPLY] zealous [PERIOD]
victorious [AND] embarrassed [AND] grumpy [IMPLY] charming [PERIOD]
powerful [IMPLY] versatile [PERIOD]
condemned [AND] attentive [AND] mean [IMPLY] helpless [PERIOD]
careless [AND] mean [AND] average [IMPLY] alert [PERIOD]
zealous [AND] frail [AND] helpless [IMPLY] elegant [PERIOD]
victorious [AND] attentive [AND] powerful [IMPLY] hypocritical [PERIOD]
amused [AND] glamorous [AND] helpless [IMPLY] zealous [PERIOD]
powerful [IMPLY] elegant [PERIOD]
elegant [AND] dull [AND] fearless [IMPLY] versatile [PERIOD]
muddy [IMPLY] embarrassed [PERIOD]
fearless [IMPLY] condemned [PERIOD]
alert [AND] fearless [IMPLY] muddy [PERIOD]
victorious [AND] condemned [AND] amused [IMPLY] attentive [PERIOD]
grumpy [AND] famous [IMPLY] careless [PERIOD]
helpless [AND] elegant [IMPLY] glamorous [PERIOD]
spotless [AND] hypocritical [AND] pleasant [IMPLY] amused [PERIOD]
muddy [IMPLY] wandering [PERIOD]
alert [AND] frail [IMPLY] pleasant [PERIOD]
pleasant [AND] versatile [AND] dull [IMPLY] charming [PERIOD]
hypocritical [AND] grumpy [IMPLY] muddy [PERIOD]
hypocritical [AND] gleaming [AND] muddy [IMPLY] dull [PERIOD]
alert [IMPLY] grumpy [PERIOD]
alert [AND] careless [AND] glamorous [IMPLY] muddy [PERIOD]
alert [AND] versatile [AND] frail [IMPLY] amused [PERIOD]
powerful [IMPLY] alert [PERIOD]
attentive [AND] alert [AND] embarrassed [IMPLY] spotless [PERIOD]
glamorous [AND] condemned [IMPLY] spotless [PERIOD]
zealous [IMPLY] fearless [PERIOD]
frail [AND] famous [IMPLY] helpless [PERIOD]
powerful [AND] hypocritical [IMPLY] condemned [PERIOD]
condemned [IMPLY] charming [PERIOD]
victorious [AND] careless [AND] versatile [IMPLY] plain [PERIOD]
frail [AND] powerful [IMPLY] condemned [PERIOD]
pleasant [AND] charming [AND] plain [IMPLY] grumpy [PERIOD]
mean [AND] attentive [IMPLY] muddy [PERIOD]
wandering [AND] charming [AND] versatile [IMPLY] elegant [PERIOD]
pleasant [IMPLY] wandering [PERIOD]
glamorous [AND] wandering [IMPLY] dull [PERIOD]
amused [AND] careless [AND] pleasant [IMPLY] victorious [PERIOD]
fearless [IMPLY] famous [PERIOD]
amused [AND] famous [AND] attentive [IMPLY] mean [PERIOD]
frail [AND] helpless [AND] versatile [IMPLY] elegant [PERIOD]
wandering [AND] pleasant [IMPLY] plain [PERIOD]
powerful [IMPLY] plain [PERIOD]
average [IMPLY] spotless [PERIOD]
spotless [AND] helpless [AND] versatile [IMPLY] elegant [PERIOD]
Query: Alice is grumpy [PERIOD]","Proof chain:
",1,0
"Facts:  Alice is tired [PERIOD] Alice is hurt [PERIOD]
Rules:
hurt [AND] gleaming [IMPLY] combative [PERIOD]
gleaming [AND] inquisitive [IMPLY] combative [PERIOD]
polite [AND] hurt [AND] combative [IMPLY] gleaming [PERIOD]
polite [AND] tired [AND] inquisitive [IMPLY] combative [PERIOD]
polite [AND] combative [IMPLY] courageous [PERIOD]
combative [AND] gleaming [AND] inquisitive [IMPLY] tired [PERIOD]
tired [IMPLY] gleaming [PERIOD]
polite [AND] combative [AND] hurt [IMPLY] courageous [PERIOD]
gleaming [AND] hurt [IMPLY] tired [PERIOD]
Query: Alice is courageous [PERIOD]","Proof chain:
   tired ⇒ gleaming
   hurt ∧ gleaming ⇒ combative
   Cannot apply rule “polite ∧ combative ⇒ courageous” because missing: polite.
   tired ⇒ gleaming
   hurt ∧ gleaming ⇒ combative
   Cannot apply rule “polite ∧ combative ∧ hurt ⇒ courageous” because missing: polite.
",0,6
"Facts:  Alice is different [PERIOD] Alice is calm [PERIOD] Alice is charming [PERIOD] Alice is tame [PERIOD] Alice is comfortable [PERIOD] Alice is sincere [PERIOD] Alice is outrageous [PERIOD] Alice is plain [PERIOD] Alice is loving [PERIOD] Alice is lucky [PERIOD] Alice is beautiful [PERIOD] Alice is tense [PERIOD] Alice is impartial [PERIOD] Alice is pessimistic [PERIOD] Alice is confused [PERIOD] Alice is attractive [PERIOD] Alice is thoughtless [PERIOD] Alice is enchanting [PERIOD]
Rules:
confident [IMPLY] tidy [PERIOD]
outrageous [IMPLY] comfortable [PERIOD]
mean [AND] stupid [IMPLY] beautiful [PERIOD]
loving [IMPLY] different [PERIOD]
different [IMPLY] impartial [PERIOD]
innocent [AND] impartial [IMPLY] enchanting [PERIOD]
attractive [IMPLY] loving [PERIOD]
different [IMPLY] attractive [PERIOD]
excited [IMPLY] charming [PERIOD]
plain [AND] pessimistic [IMPLY] tense [PERIOD]
charming [AND] enchanting [IMPLY] confused [PERIOD]
thoughtless [IMPLY] plain [PERIOD]
tense [AND] confident [AND] frail [IMPLY] enchanting [PERIOD]
tame [IMPLY] frail [PERIOD]
mean [AND] powerful [AND] stupid [IMPLY] lucky [PERIOD]
sincere [AND] confused [AND] outrageous [IMPLY] calm [PERIOD]
confident [AND] attractive [AND] loving [IMPLY] outrageous [PERIOD]
lucky [IMPLY] tense [PERIOD]
tidy [AND] pessimistic [AND] plain [IMPLY] powerful [PERIOD]
charming [IMPLY] tense [PERIOD]
impartial [AND] lucky [AND] thoughtless [IMPLY] plain [PERIOD]
tidy [IMPLY] outrageous [PERIOD]
exuberant [AND] frail [AND] confident [IMPLY] innocent [PERIOD]
confident [IMPLY] calm [PERIOD]
loving [AND] impartial [IMPLY] mean [PERIOD]
powerful [AND] charming [IMPLY] impartial [PERIOD]
lucky [AND] outrageous [AND] loving [IMPLY] calm [PERIOD]
mean [AND] charming [AND] tense [IMPLY] sincere [PERIOD]
Query: Alice is tidy [PERIOD]","Proof chain:
   Cannot apply rule “confident ⇒ tidy” because missing: confident.
",0,1
"Facts: 
Rules:
cooperative [AND] popular [AND] embarrassed [IMPLY] sleepy [PERIOD]
horrible [IMPLY] old-fashioned [PERIOD]
sincere [AND] supportive [IMPLY] elegant [PERIOD]
supportive [AND] pessimistic [AND] cooperative [IMPLY] gorgeous [PERIOD]
stormy [IMPLY] gorgeous [PERIOD]
loving [AND] embarrassed [IMPLY] clean [PERIOD]
old-fashioned [AND] joyous [AND] helpful [IMPLY] beautiful [PERIOD]
sincere [IMPLY] helpful [PERIOD]
gorgeous [AND] elegant [IMPLY] supportive [PERIOD]
stormy [AND] impatient [AND] supportive [IMPLY] embarrassed [PERIOD]
joyous [AND] helpful [IMPLY] elegant [PERIOD]
courageous [IMPLY] sincere [PERIOD]
joyous [AND] straightforward [AND] beautiful [IMPLY] old-fashioned [PERIOD]
elegant [IMPLY] stormy [PERIOD]
sincere [IMPLY] horrible [PERIOD]
popular [IMPLY] courageous [PERIOD]
old-fashioned [AND] helpful [IMPLY] straightforward [PERIOD]
cooperative [AND] sleepy [AND] gorgeous [IMPLY] courageous [PERIOD]
bright [IMPLY] sleepy [PERIOD]
joyous [AND] stormy [IMPLY] elegant [PERIOD]
horrible [IMPLY] bright [PERIOD]
embarrassed [AND] horrible [AND] impatient [IMPLY] stormy [PERIOD]
popular [AND] stormy [IMPLY] pessimistic [PERIOD]
popular [AND] joyous [IMPLY] beautiful [PERIOD]
cooperative [AND] beautiful [AND] joyous [IMPLY] supportive [PERIOD]
helpful [AND] embarrassed [IMPLY] sleepy [PERIOD]
beautiful [AND] embarrassed [IMPLY] sleepy [PERIOD]
sleepy [IMPLY] old-fashioned [PERIOD]
pessimistic [AND] stormy [IMPLY] gorgeous [PERIOD]
clean [IMPLY] stormy [PERIOD]
old-fashioned [IMPLY] popular [PERIOD]
joyous [AND] sleepy [AND] embarrassed [IMPLY] bright [PERIOD]
bright [AND] cooperative [AND] stormy [IMPLY] old-fashioned [PERIOD]
popular [AND] clean [AND] horrible [IMPLY] old-fashioned [PERIOD]
straightforward [AND] bright [AND] gorgeous [IMPLY] impatient [PERIOD]
cooperative [IMPLY] clean [PERIOD]
sincere [AND] old-fashioned [AND] stormy [IMPLY] pessimistic [PERIOD]
cooperative [AND] impatient [AND] loving [IMPLY] bright [PERIOD]
straightforward [IMPLY] beautiful [PERIOD]
impatient [AND] loving [IMPLY] courageous [PERIOD]
stormy [IMPLY] sleepy [PERIOD]
pessimistic [AND] popular [IMPLY] sleepy [PERIOD]
horrible [AND] courageous [AND] bright [IMPLY] sleepy [PERIOD]
courageous [IMPLY] elegant [PERIOD]
sincere [AND] gorgeous [AND] impatient [IMPLY] cooperative [PERIOD]
sincere [AND] popular [IMPLY] gorgeous [PERIOD]
popular [AND] horrible [AND] impatient [IMPLY] beautiful [PERIOD]
pessimistic [IMPLY] sleepy [PERIOD]
sleepy [AND] stormy [AND] helpful [IMPLY] embarrassed [PERIOD]
impatient [IMPLY] joyous [PERIOD]
elegant [IMPLY] embarrassed [PERIOD]
horrible [AND] helpful [IMPLY] popular [PERIOD]
popular [IMPLY] gorgeous [PERIOD]
sleepy [AND] beautiful [IMPLY] sincere [PERIOD]
courageous [AND] horrible [IMPLY] popular [PERIOD]
beautiful [IMPLY] courageous [PERIOD]
helpful [AND] stormy [IMPLY] old-fashioned [PERIOD]
bright [AND] gorgeous [AND] joyous [IMPLY] straightforward [PERIOD]
pessimistic [IMPLY] old-fashioned [PERIOD]
loving [IMPLY] gorgeous [PERIOD]
old-fashioned [IMPLY] sincere [PERIOD]
loving [IMPLY] cooperative [PERIOD]
sleepy [IMPLY] horrible [PERIOD]
straightforward [AND] cooperative [AND] impatient [IMPLY] supportive [PERIOD]
helpful [AND] old-fashioned [IMPLY] horrible [PERIOD]
Query: Alice is old-fashioned [PERIOD]","Proof chain:
   Cannot apply rule “horrible ⇒ old-fashioned” because missing: horrible.
   Cannot apply rule “joyous ∧ straightforward ∧ beautiful ⇒ old-fashioned” because missing: joyous, straightforward, beautiful.
   Cannot apply rule “sleepy ⇒ old-fashioned” because missing: sleepy.
   Cannot apply rule “bright ∧ cooperative ∧ stormy ⇒ old-fashioned” because missing: bright, cooperative, stormy.
   Cannot apply rule “popular ∧ clean ∧ horrible ⇒ old-fashioned” because missing: popular, clean, horrible.
   Cannot apply rule “helpful ∧ stormy ⇒ old-fashioned” because missing: helpful, stormy.
   Cannot apply rule “pessimistic ⇒ old-fashioned” because missing: pessimistic.
",0,7
"Facts:  Alice is broad-minded [PERIOD] Alice is amused [PERIOD]
Rules:
broad-minded [IMPLY] innocent [PERIOD]
intellectual [AND] amused [IMPLY] adorable [PERIOD]
fearless [AND] adorable [AND] attractive [IMPLY] intellectual [PERIOD]
fearless [AND] glamorous [IMPLY] intellectual [PERIOD]
attractive [IMPLY] broad-minded [PERIOD]
hilarious [AND] innocent [IMPLY] glamorous [PERIOD]
adorable [IMPLY] amused [PERIOD]
fearless [AND] intellectual [IMPLY] attractive [PERIOD]
glamorous [IMPLY] adorable [PERIOD]
glamorous [AND] hilarious [AND] easy [IMPLY] adorable [PERIOD]
amused [AND] hilarious [IMPLY] easy [PERIOD]
amused [AND] broad-minded [IMPLY] easy [PERIOD]
innocent [IMPLY] broad-minded [PERIOD]
attractive [IMPLY] hilarious [PERIOD]
broad-minded [AND] innocent [AND] attractive [IMPLY] hilarious [PERIOD]
intellectual [AND] hilarious [IMPLY] glamorous [PERIOD]
easy [AND] glamorous [AND] amused [IMPLY] broad-minded [PERIOD]
easy [IMPLY] fearless [PERIOD]
innocent [AND] adorable [AND] broad-minded [IMPLY] attractive [PERIOD]
Query: Alice is hilarious [PERIOD]","Proof chain:
   Cannot apply rule “attractive ⇒ hilarious” because missing: attractive.
   broad-minded ⇒ innocent
   Cannot apply rule “broad-minded ∧ innocent ∧ attractive ⇒ hilarious” because missing: attractive.
",0,3
"Facts:  Alice is attractive [PERIOD]
Rules:
old-fashioned [AND] popular [IMPLY] rational [PERIOD]
foolish [AND] impatient [IMPLY] amused [PERIOD]
grumpy [AND] cruel [AND] popular [IMPLY] beautiful [PERIOD]
rational [AND] impatient [AND] courageous [IMPLY] attractive [PERIOD]
confident [IMPLY] popular [PERIOD]
popular [IMPLY] foolish [PERIOD]
spotless [IMPLY] ugly [PERIOD]
impatient [AND] distinct [AND] amused [IMPLY] ugly [PERIOD]
bored [AND] elegant [AND] rational [IMPLY] grumpy [PERIOD]
spotless [AND] cruel [AND] smart [IMPLY] wrong [PERIOD]
impatient [AND] bored [IMPLY] amused [PERIOD]
amused [AND] grumpy [IMPLY] rational [PERIOD]
mean [IMPLY] beautiful [PERIOD]
powerful [AND] mean [IMPLY] charming [PERIOD]
smart [AND] sensible [AND] pleasant [IMPLY] wrong [PERIOD]
distinct [AND] old-fashioned [AND] attractive [IMPLY] cruel [PERIOD]
powerful [AND] spotless [AND] attractive [IMPLY] beautiful [PERIOD]
smart [AND] mean [AND] popular [IMPLY] elegant [PERIOD]
shiny [AND] foolish [AND] spotless [IMPLY] elegant [PERIOD]
distinct [IMPLY] shiny [PERIOD]
fragile [AND] foolish [AND] old-fashioned [IMPLY] smart [PERIOD]
confident [AND] cruel [IMPLY] powerful [PERIOD]
confident [AND] distinct [IMPLY] elegant [PERIOD]
spotless [AND] rational [IMPLY] amused [PERIOD]
shiny [AND] sensible [AND] rational [IMPLY] elegant [PERIOD]
smart [AND] amused [IMPLY] grumpy [PERIOD]
smart [AND] bored [IMPLY] elegant [PERIOD]
fragile [AND] popular [IMPLY] beautiful [PERIOD]
attractive [AND] ugly [IMPLY] spotless [PERIOD]
amused [AND] charming [AND] fragile [IMPLY] shiny [PERIOD]
grumpy [AND] cruel [IMPLY] charming [PERIOD]
grumpy [AND] smart [IMPLY] beautiful [PERIOD]
sensible [IMPLY] ugly [PERIOD]
confident [IMPLY] courageous [PERIOD]
smart [AND] distinct [AND] grumpy [IMPLY] mean [PERIOD]
elegant [IMPLY] bored [PERIOD]
grumpy [AND] popular [IMPLY] distinct [PERIOD]
fragile [AND] cruel [IMPLY] bored [PERIOD]
bored [AND] powerful [IMPLY] impatient [PERIOD]
beautiful [AND] foolish [IMPLY] impatient [PERIOD]
mean [IMPLY] rational [PERIOD]
spotless [AND] rational [IMPLY] attractive [PERIOD]
bored [AND] elegant [AND] old-fashioned [IMPLY] attractive [PERIOD]
fragile [AND] attractive [IMPLY] ugly [PERIOD]
distinct [AND] grumpy [IMPLY] spotless [PERIOD]
smart [AND] shiny [IMPLY] impatient [PERIOD]
popular [AND] charming [AND] bored [IMPLY] mean [PERIOD]
confident [AND] pleasant [IMPLY] spotless [PERIOD]
beautiful [AND] smart [AND] distinct [IMPLY] courageous [PERIOD]
cruel [AND] popular [IMPLY] attractive [PERIOD]
spotless [AND] elegant [AND] fragile [IMPLY] pleasant [PERIOD]
sensible [AND] grumpy [AND] bored [IMPLY] mean [PERIOD]
courageous [AND] amused [AND] shiny [IMPLY] impatient [PERIOD]
smart [IMPLY] mean [PERIOD]
popular [AND] sensible [IMPLY] attractive [PERIOD]
fragile [AND] beautiful [IMPLY] popular [PERIOD]
distinct [AND] attractive [AND] sensible [IMPLY] pleasant [PERIOD]
amused [AND] wrong [IMPLY] attractive [PERIOD]
elegant [IMPLY] impatient [PERIOD]
smart [IMPLY] cruel [PERIOD]
fragile [AND] sensible [IMPLY] popular [PERIOD]
powerful [AND] wrong [IMPLY] fragile [PERIOD]
ugly [AND] foolish [AND] elegant [IMPLY] charming [PERIOD]
shiny [IMPLY] charming [PERIOD]
smart [AND] shiny [IMPLY] wrong [PERIOD]
courageous [AND] pleasant [AND] grumpy [IMPLY] impatient [PERIOD]
popular [AND] powerful [AND] confident [IMPLY] pleasant [PERIOD]
rational [IMPLY] amused [PERIOD]
amused [IMPLY] cruel [PERIOD]
wrong [AND] shiny [IMPLY] ugly [PERIOD]
distinct [AND] beautiful [AND] rational [IMPLY] foolish [PERIOD]
rational [AND] popular [IMPLY] spotless [PERIOD]
ugly [IMPLY] courageous [PERIOD]
charming [AND] attractive [AND] courageous [IMPLY] sensible [PERIOD]
attractive [IMPLY] ugly [PERIOD]
bored [AND] courageous [IMPLY] beautiful [PERIOD]
charming [AND] courageous [IMPLY] grumpy [PERIOD]
powerful [IMPLY] pleasant [PERIOD]
bored [AND] pleasant [AND] confident [IMPLY] attractive [PERIOD]
elegant [IMPLY] old-fashioned [PERIOD]
smart [IMPLY] courageous [PERIOD]
elegant [AND] attractive [AND] impatient [IMPLY] cruel [PERIOD]
powerful [IMPLY] beautiful [PERIOD]
pleasant [AND] beautiful [AND] ugly [IMPLY] charming [PERIOD]
popular [IMPLY] smart [PERIOD]
cruel [AND] popular [AND] powerful [IMPLY] bored [PERIOD]
spotless [AND] ugly [IMPLY] grumpy [PERIOD]
beautiful [AND] courageous [AND] sensible [IMPLY] powerful [PERIOD]
confident [AND] cruel [AND] wrong [IMPLY] shiny [PERIOD]
amused [AND] charming [IMPLY] confident [PERIOD]
Query: Alice is sensible [PERIOD]","Proof chain:
   attractive ⇒ ugly
   ugly ⇒ courageous
   Cannot apply rule “charming ∧ attractive ∧ courageous ⇒ sensible” because missing: charming.
",0,3
"Facts:  Alice is tidy [PERIOD] Alice is sensible [PERIOD]
Rules:
plain [IMPLY] impatient [PERIOD]
stormy [AND] elated [IMPLY] disobedient [PERIOD]
impatient [AND] pleasant [IMPLY] disobedient [PERIOD]
straightforward [AND] serious [IMPLY] silly [PERIOD]
embarrassed [AND] silly [IMPLY] outrageous [PERIOD]
unpleasant [IMPLY] amused [PERIOD]
tidy [IMPLY] disobedient [PERIOD]
straightforward [AND] elegant [AND] silly [IMPLY] impatient [PERIOD]
serious [AND] plain [IMPLY] troubled [PERIOD]
tidy [AND] popular [IMPLY] outrageous [PERIOD]
troubled [AND] elated [IMPLY] elegant [PERIOD]
Query: Alice is outrageous [PERIOD]","Proof chain:
   Cannot apply rule “embarrassed ∧ silly ⇒ outrageous” because missing: embarrassed, silly.
   Cannot apply rule “tidy ∧ popular ⇒ outrageous” because missing: popular.
",0,2
"Facts:  Alice is rude [PERIOD] Alice is wandering [PERIOD] Alice is proud [PERIOD] Alice is tame [PERIOD] Alice is stormy [PERIOD]
Rules:
tired [IMPLY] smart [PERIOD]
supportive [AND] stormy [IMPLY] tired [PERIOD]
stormy [IMPLY] tame [PERIOD]
wrong [AND] difficult [IMPLY] stormy [PERIOD]
wandering [AND] supportive [IMPLY] rude [PERIOD]
difficult [IMPLY] wrong [PERIOD]
wandering [IMPLY] fragile [PERIOD]
stupid [AND] helpless [IMPLY] wrong [PERIOD]
fragile [AND] wrong [IMPLY] tame [PERIOD]
smart [IMPLY] difficult [PERIOD]
helpless [AND] clumsy [IMPLY] fragile [PERIOD]
rude [AND] difficult [IMPLY] stupid [PERIOD]
stupid [AND] helpless [IMPLY] smart [PERIOD]
difficult [IMPLY] proud [PERIOD]
helpless [AND] supportive [AND] wandering [IMPLY] smart [PERIOD]
fragile [AND] tired [IMPLY] proud [PERIOD]
tired [IMPLY] tame [PERIOD]
tame [IMPLY] helpless [PERIOD]
rude [AND] wrong [AND] helpless [IMPLY] fragile [PERIOD]
supportive [AND] wrong [IMPLY] clumsy [PERIOD]
wandering [IMPLY] supportive [PERIOD]
fragile [AND] proud [IMPLY] helpless [PERIOD]
smart [AND] supportive [IMPLY] helpless [PERIOD]
wrong [AND] tame [IMPLY] proud [PERIOD]
fragile [AND] proud [AND] helpless [IMPLY] wandering [PERIOD]
helpless [AND] wrong [IMPLY] clumsy [PERIOD]
supportive [AND] clumsy [IMPLY] tired [PERIOD]
wrong [AND] stupid [IMPLY] tired [PERIOD]
helpless [IMPLY] proud [PERIOD]
wrong [IMPLY] stupid [PERIOD]
smart [IMPLY] stupid [PERIOD]
smart [AND] clumsy [AND] proud [IMPLY] fragile [PERIOD]
Query: Alice is clumsy [PERIOD]","Proof chain:
   wandering ⇒ supportive
   tame ⇒ helpless
   wandering ⇒ supportive
   helpless ∧ supportive ∧ wandering ⇒ smart
   smart ⇒ difficult
   difficult ⇒ wrong
   supportive ∧ wrong ⇒ clumsy
",1,7
"Facts: 
Rules:
popular [IMPLY] lonely [PERIOD]
ugly [IMPLY] perfect [PERIOD]
sincere [IMPLY] plain [PERIOD]
dishonest [AND] crowded [AND] powerful [IMPLY] adorable [PERIOD]
dull [AND] inexpensive [AND] lonely [IMPLY] adorable [PERIOD]
serious [IMPLY] friendly [PERIOD]
popular [IMPLY] courageous [PERIOD]
amused [AND] ugly [IMPLY] sincere [PERIOD]
versatile [AND] powerful [AND] dishonest [IMPLY] disgusted [PERIOD]
disgusted [AND] crowded [AND] confused [IMPLY] dishonest [PERIOD]
lonely [IMPLY] charming [PERIOD]
lucky [IMPLY] impartial [PERIOD]
enchanting [AND] sincere [IMPLY] dull [PERIOD]
adorable [AND] wandering [AND] disgusted [IMPLY] lonely [PERIOD]
charming [IMPLY] lucky [PERIOD]
versatile [AND] ugly [AND] impartial [IMPLY] popular [PERIOD]
wandering [AND] dishonest [AND] confused [IMPLY] dull [PERIOD]
charming [IMPLY] perfect [PERIOD]
charming [AND] dull [AND] crowded [IMPLY] sincere [PERIOD]
adorable [IMPLY] crowded [PERIOD]
clean [AND] confused [IMPLY] dishonest [PERIOD]
sincere [AND] inexpensive [AND] adorable [IMPLY] lucky [PERIOD]
impartial [IMPLY] inexpensive [PERIOD]
dull [AND] versatile [AND] crowded [IMPLY] dishonest [PERIOD]
serious [AND] courageous [AND] wandering [IMPLY] disgusted [PERIOD]
crowded [IMPLY] inexpensive [PERIOD]
friendly [IMPLY] charming [PERIOD]
enchanting [IMPLY] amused [PERIOD]
popular [IMPLY] dull [PERIOD]
confused [IMPLY] powerful [PERIOD]
confused [AND] wandering [IMPLY] inexpensive [PERIOD]
serious [AND] charming [IMPLY] ugly [PERIOD]
impartial [IMPLY] dishonest [PERIOD]
crowded [AND] charming [IMPLY] versatile [PERIOD]
dishonest [AND] sincere [IMPLY] versatile [PERIOD]
charming [IMPLY] impartial [PERIOD]
lucky [IMPLY] powerful [PERIOD]
charming [AND] courageous [IMPLY] serious [PERIOD]
plain [AND] perfect [IMPLY] crowded [PERIOD]
lucky [AND] perfect [IMPLY] ugly [PERIOD]
enchanting [AND] lucky [IMPLY] impartial [PERIOD]
sincere [AND] lonely [IMPLY] amused [PERIOD]
crowded [AND] charming [IMPLY] enchanting [PERIOD]
serious [AND] inexpensive [AND] enchanting [IMPLY] amused [PERIOD]
versatile [IMPLY] serious [PERIOD]
inexpensive [IMPLY] friendly [PERIOD]
lucky [AND] clean [AND] inexpensive [IMPLY] adorable [PERIOD]
dishonest [AND] confused [AND] popular [IMPLY] lucky [PERIOD]
ugly [IMPLY] enchanting [PERIOD]
versatile [AND] confused [AND] courageous [IMPLY] charming [PERIOD]
lonely [AND] confused [IMPLY] inexpensive [PERIOD]
powerful [AND] plain [IMPLY] confused [PERIOD]
inexpensive [IMPLY] charming [PERIOD]
powerful [AND] serious [AND] disgusted [IMPLY] versatile [PERIOD]
amused [AND] inexpensive [AND] serious [IMPLY] wandering [PERIOD]
clean [AND] ugly [AND] dull [IMPLY] confused [PERIOD]
confused [IMPLY] friendly [PERIOD]
clean [IMPLY] confused [PERIOD]
dull [AND] amused [IMPLY] adorable [PERIOD]
adorable [IMPLY] powerful [PERIOD]
perfect [AND] adorable [AND] friendly [IMPLY] impartial [PERIOD]
impartial [IMPLY] courageous [PERIOD]
ugly [AND] dull [IMPLY] dishonest [PERIOD]
charming [AND] friendly [IMPLY] lucky [PERIOD]
plain [IMPLY] confused [PERIOD]
perfect [IMPLY] amused [PERIOD]
crowded [IMPLY] serious [PERIOD]
enchanting [IMPLY] confused [PERIOD]
courageous [AND] disgusted [AND] popular [IMPLY] clean [PERIOD]
crowded [AND] enchanting [IMPLY] dull [PERIOD]
lonely [IMPLY] perfect [PERIOD]
ugly [AND] dull [AND] dishonest [IMPLY] enchanting [PERIOD]
dull [AND] courageous [IMPLY] inexpensive [PERIOD]
wandering [AND] plain [AND] dull [IMPLY] charming [PERIOD]
lucky [IMPLY] disgusted [PERIOD]
adorable [AND] perfect [AND] ugly [IMPLY] serious [PERIOD]
disgusted [AND] lonely [IMPLY] clean [PERIOD]
friendly [IMPLY] lonely [PERIOD]
amused [IMPLY] wandering [PERIOD]
ugly [AND] lucky [AND] enchanting [IMPLY] disgusted [PERIOD]
disgusted [AND] wandering [AND] lonely [IMPLY] amused [PERIOD]
powerful [AND] dull [AND] adorable [IMPLY] charming [PERIOD]
versatile [IMPLY] lucky [PERIOD]
ugly [AND] wandering [IMPLY] popular [PERIOD]
dishonest [AND] impartial [AND] dull [IMPLY] powerful [PERIOD]
powerful [IMPLY] amused [PERIOD]
crowded [AND] versatile [IMPLY] dull [PERIOD]
lucky [AND] dull [IMPLY] dishonest [PERIOD]
powerful [IMPLY] lonely [PERIOD]
Query: Alice is adorable [PERIOD]","Proof chain:
   Cannot apply rule “dishonest ∧ crowded ∧ powerful ⇒ adorable” because missing: dishonest, crowded, powerful.
   Cannot apply rule “dull ∧ inexpensive ∧ lonely ⇒ adorable” because missing: dull, inexpensive, lonely.
   Cannot apply rule “lucky ∧ clean ∧ inexpensive ⇒ adorable” because missing: lucky, clean, inexpensive.
   Cannot apply rule “dull ∧ amused ⇒ adorable” because missing: dull, amused.
",0,4
"Facts: 
Rules:
stupid [AND] adorable [IMPLY] shy [PERIOD]
friendly [AND] bossy [AND] enchanting [IMPLY] adorable [PERIOD]
friendly [AND] glamorous [AND] foolish [IMPLY] tender [PERIOD]
glamorous [AND] calm [AND] bossy [IMPLY] disobedient [PERIOD]
glamorous [AND] calm [IMPLY] enchanting [PERIOD]
friendly [AND] impartial [AND] frantic [IMPLY] plain [PERIOD]
clumsy [IMPLY] stupid [PERIOD]
enchanting [IMPLY] adorable [PERIOD]
frantic [IMPLY] plain [PERIOD]
victorious [IMPLY] cooperative [PERIOD]
bossy [AND] tender [AND] shy [IMPLY] clumsy [PERIOD]
stupid [AND] plain [AND] frantic [IMPLY] shy [PERIOD]
foolish [IMPLY] friendly [PERIOD]
enchanting [AND] impartial [IMPLY] tender [PERIOD]
elegant [AND] calm [IMPLY] talented [PERIOD]
glamorous [AND] elegant [IMPLY] bossy [PERIOD]
friendly [IMPLY] stupid [PERIOD]
unpleasant [AND] impartial [AND] calm [IMPLY] clumsy [PERIOD]
enchanting [IMPLY] frantic [PERIOD]
tender [AND] plain [IMPLY] bossy [PERIOD]
calm [AND] unpleasant [AND] enchanting [IMPLY] friendly [PERIOD]
elegant [AND] adorable [AND] bossy [IMPLY] enchanting [PERIOD]
glamorous [AND] talented [AND] plain [IMPLY] disobedient [PERIOD]
clumsy [IMPLY] shy [PERIOD]
calm [AND] bossy [AND] tender [IMPLY] cooperative [PERIOD]
foolish [AND] adorable [AND] unpleasant [IMPLY] stupid [PERIOD]
shy [AND] enchanting [AND] friendly [IMPLY] disobedient [PERIOD]
tender [AND] impartial [IMPLY] shy [PERIOD]
elegant [IMPLY] friendly [PERIOD]
unpleasant [AND] shy [IMPLY] bossy [PERIOD]
cooperative [AND] talented [AND] glamorous [IMPLY] plain [PERIOD]
clumsy [AND] foolish [IMPLY] elegant [PERIOD]
tender [IMPLY] shy [PERIOD]
victorious [AND] friendly [AND] shy [IMPLY] enchanting [PERIOD]
bossy [AND] plain [AND] shy [IMPLY] cooperative [PERIOD]
foolish [AND] stupid [IMPLY] bossy [PERIOD]
tender [AND] bossy [AND] unpleasant [IMPLY] enchanting [PERIOD]
tender [IMPLY] elegant [PERIOD]
unpleasant [AND] stupid [AND] enchanting [IMPLY] victorious [PERIOD]
frantic [IMPLY] foolish [PERIOD]
cooperative [IMPLY] unpleasant [PERIOD]
stupid [AND] elegant [IMPLY] clumsy [PERIOD]
tender [AND] frantic [IMPLY] talented [PERIOD]
impartial [IMPLY] frantic [PERIOD]
talented [IMPLY] frantic [PERIOD]
glamorous [AND] unpleasant [AND] frantic [IMPLY] calm [PERIOD]
calm [AND] foolish [IMPLY] bossy [PERIOD]
impartial [IMPLY] plain [PERIOD]
friendly [IMPLY] shy [PERIOD]
frantic [AND] foolish [IMPLY] calm [PERIOD]
elegant [AND] cooperative [AND] adorable [IMPLY] tender [PERIOD]
enchanting [AND] glamorous [AND] shy [IMPLY] adorable [PERIOD]
adorable [IMPLY] clumsy [PERIOD]
disobedient [AND] shy [AND] frantic [IMPLY] elegant [PERIOD]
elegant [IMPLY] shy [PERIOD]
shy [AND] elegant [AND] friendly [IMPLY] stupid [PERIOD]
talented [IMPLY] impartial [PERIOD]
unpleasant [IMPLY] adorable [PERIOD]
glamorous [AND] cooperative [AND] shy [IMPLY] foolish [PERIOD]
frantic [AND] tender [AND] enchanting [IMPLY] impartial [PERIOD]
friendly [AND] adorable [IMPLY] talented [PERIOD]
impartial [AND] tender [IMPLY] stupid [PERIOD]
adorable [AND] shy [AND] stupid [IMPLY] cooperative [PERIOD]
stupid [AND] bossy [AND] clumsy [IMPLY] shy [PERIOD]
Query: Alice is friendly [PERIOD]","Proof chain:
   Cannot apply rule “foolish ⇒ friendly” because missing: foolish.
   Cannot apply rule “calm ∧ unpleasant ∧ enchanting ⇒ friendly” because missing: calm, unpleasant, enchanting.
   Cannot apply rule “elegant ⇒ friendly” because missing: elegant.
",0,3