Question string | Complex_CoT string | Response int64 | Depth int64 |
|---|---|---|---|
Facts: Batman is blushing [PERIOD]
Rules:
impartial [IMPLY] crowded [PERIOD]
famous [IMPLY] modern [PERIOD]
ugliest [AND] shy [AND] clumsy [IMPLY] impartial [PERIOD]
intellectual [IMPLY] proud [PERIOD]
easy [AND] crowded [IMPLY] blushing [PERIOD]
impatient [IMPLY] sincere [PERIOD]
rational [AND] messy [AND] easy [IMPL... | Proof chain:
Cannot apply rule “intellectual ⇒ proud” because missing: intellectual.
Cannot apply rule “impatient ⇒ proud” because missing: impatient.
Cannot apply rule “perfect ∧ easy ⇒ proud” because missing: perfect, easy.
| 0 | 3 |
Facts: Batman is serious [PERIOD] Batman is versatile [PERIOD] Batman is comfortable [PERIOD]
Rules:
silly [AND] aggressive [AND] versatile [IMPLY] dull [PERIOD]
silly [IMPLY] beautiful [PERIOD]
supportive [AND] silly [AND] weary [IMPLY] good [PERIOD]
weary [AND] distinct [IMPLY] aggressive [PERIOD]
stubborn [IMPLY] t... | Proof chain:
comfortable ⇒ troubled
Cannot apply rule “troubled ∧ easy ∧ supportive ⇒ weary” because missing: easy, supportive.
Cannot apply rule “dull ⇒ weary” because missing: dull.
| 0 | 3 |
Facts: Batman is agreeable [PERIOD] Batman is plain [PERIOD] Batman is popular [PERIOD] Batman is witty [PERIOD] Batman is light [PERIOD] Batman is bored [PERIOD]
Rules:
naughty [AND] mysterious [IMPLY] anxious [PERIOD]
busy [AND] light [IMPLY] bored [PERIOD]
anxious [AND] plain [AND] tense [IMPLY] clean [PERIOD]
popu... | Proof chain:
light ⇒ vivacious
vivacious ⇒ perfect
perfect ⇒ tidy
| 1 | 3 |
Facts: Batman is charming [PERIOD] Batman is embarrassed [PERIOD] Batman is talkative [PERIOD] Batman is strange [PERIOD]
Rules:
wide-eyed [AND] selfish [IMPLY] charming [PERIOD]
quaint [IMPLY] tame [PERIOD]
pessimistic [AND] quaint [AND] worried [IMPLY] wandering [PERIOD]
strange [AND] elegant [AND] serious [IMPLY] i... | Proof chain:
charming ⇒ pessimistic
embarrassed ∧ pessimistic ⇒ loving
loving ⇒ intellectual
| 1 | 3 |
Facts: Batman is famous [PERIOD] Batman is straightforward [PERIOD]
Rules:
tidy [AND] famous [IMPLY] combative [PERIOD]
straightforward [AND] versatile [IMPLY] ambitious [PERIOD]
popular [AND] versatile [AND] vivacious [IMPLY] naughty [PERIOD]
combative [IMPLY] pleasant [PERIOD]
pleasant [AND] adorable [AND] charming ... | Proof chain:
Cannot apply rule “naughty ⇒ versatile” because missing: naughty.
Cannot apply rule “combative ∧ pleasant ⇒ versatile” because missing: combative, pleasant.
Cannot apply rule “popular ∧ pleasant ∧ adorable ⇒ versatile” because missing: popular, pleasant, adorable.
| 0 | 3 |
Facts:
Rules:
innocent [AND] charming [IMPLY] pleasant [PERIOD]
shiny [AND] charming [IMPLY] inexpensive [PERIOD]
adorable [AND] lucky [IMPLY] worrisome [PERIOD]
careless [IMPLY] innocent [PERIOD]
elated [AND] attentive [AND] careless [IMPLY] shiny [PERIOD]
lucky [AND] grumpy [AND] innocent [IMPLY] careless [PERIOD]
s... | Proof chain:
Cannot apply rule “worrisome ∧ frantic ∧ bright ⇒ worried” because missing: worrisome, frantic, bright.
Cannot apply rule “inquisitive ∧ selfish ⇒ worried” because missing: inquisitive, selfish.
Cannot apply rule “curious ∧ frantic ∧ worrisome ⇒ worried” because missing: curious, frantic, worrisom... | 0 | 3 |
Facts: Batman is embarrassed [PERIOD] Batman is attractive [PERIOD] Batman is plain [PERIOD] Batman is frightened [PERIOD] Batman is attentive [PERIOD] Batman is homely [PERIOD] Batman is comfortable [PERIOD] Batman is muddy [PERIOD] Batman is strange [PERIOD]
Rules:
cruel [AND] embarrassed [IMPLY] dishonest [PERIOD]
... | Proof chain:
strange ∧ attractive ∧ attentive ⇒ different
different ⇒ tidy
tidy ⇒ scared
| 1 | 3 |
Facts: Batman is shy [PERIOD] Batman is thoughtless [PERIOD]
Rules:
attractive [AND] combative [IMPLY] precious [PERIOD]
vivacious [IMPLY] shy [PERIOD]
shy [IMPLY] disgusted [PERIOD]
precious [AND] helpful [IMPLY] lonely [PERIOD]
rational [AND] tidy [IMPLY] helpless [PERIOD]
vivacious [AND] spotless [IMPLY] precious [... | Proof chain:
shy ⇒ disgusted
thoughtless ⇒ tidy
disgusted ∧ tidy ⇒ grumpy
| 1 | 3 |
Facts: Batman is ugly [PERIOD] Batman is inquisitive [PERIOD]
Rules:
joyous [AND] tired [IMPLY] ugly [PERIOD]
popular [IMPLY] wandering [PERIOD]
joyous [AND] easy [IMPLY] bad-tempered [PERIOD]
inquisitive [AND] shy [AND] rude [IMPLY] powerful [PERIOD]
wrong [AND] lonely [AND] sensible [IMPLY] tired [PERIOD]
wandering ... | Proof chain:
Cannot apply rule “lonely ⇒ supportive” because missing: lonely.
Cannot apply rule “inquisitive ∧ powerful ∧ joyous ⇒ supportive” because missing: powerful, joyous.
Cannot apply rule “bad-tempered ⇒ supportive” because missing: bad-tempered.
| 0 | 3 |
Facts: Batman is different [PERIOD] Batman is messy [PERIOD] Batman is bad-tempered [PERIOD] Batman is fragile [PERIOD]
Rules:
tired [AND] talkative [AND] horrible [IMPLY] bad-tempered [PERIOD]
fine [IMPLY] versatile [PERIOD]
hilarious [AND] tired [AND] versatile [IMPLY] zealous [PERIOD]
hilarious [AND] messy [AND] pr... | Proof chain:
different ⇒ fine
fine ∧ fragile ⇒ wrong
wrong ⇒ mysterious
| 1 | 3 |
Facts:
Rules:
gifted [AND] worried [AND] stormy [IMPLY] joyous [PERIOD]
stormy [AND] worried [IMPLY] helpful [PERIOD]
helpful [AND] gifted [IMPLY] elegant [PERIOD]
stormy [IMPLY] elegant [PERIOD]
joyous [AND] stormy [AND] worried [IMPLY] helpful [PERIOD]
joyous [AND] gifted [AND] helpful [IMPLY] elegant [PERIOD]
helpf... | Proof chain:
Cannot apply rule “shy ∧ fearless ∧ joyous ⇒ worried” because missing: shy, fearless, joyous.
Cannot apply rule “fearless ∧ shy ∧ gifted ⇒ worried” because missing: fearless, shy, gifted.
Cannot apply rule “stormy ∧ joyous ∧ shy ⇒ worried” because missing: stormy, joyous, shy.
| 0 | 3 |
Facts: Batman is bad-tempered [PERIOD] Batman is glamorous [PERIOD] Batman is ugliest [PERIOD] Batman is unpleasant [PERIOD] Batman is stupid [PERIOD] Batman is fragile [PERIOD] Batman is naughty [PERIOD] Batman is attractive [PERIOD] Batman is foolish [PERIOD]
Rules:
attractive [AND] bossy [IMPLY] cooperative [PERIOD... | Proof chain:
naughty ⇒ pessimistic
pessimistic ∧ fragile ⇒ bossy
bossy ⇒ adorable
| 1 | 3 |
Facts: Batman is homely [PERIOD] Batman is agreeable [PERIOD] Batman is amused [PERIOD] Batman is scared [PERIOD]
Rules:
amused [AND] worried [IMPLY] reserved [PERIOD]
amused [IMPLY] grumpy [PERIOD]
amused [AND] grumpy [AND] helpless [IMPLY] tidy [PERIOD]
wide-eyed [IMPLY] sincere [PERIOD]
glamorous [AND] tidy [IMPLY]... | Proof chain:
scared ⇒ glamorous
glamorous ∧ amused ⇒ helpless
helpless ⇒ diplomatic
| 1 | 3 |
Facts: Batman is charming [PERIOD] Batman is cute [PERIOD] Batman is wide-eyed [PERIOD] Batman is average [PERIOD] Batman is confused [PERIOD]
Rules:
rude [AND] average [AND] disgusted [IMPLY] confused [PERIOD]
horrible [AND] wide-eyed [AND] quaint [IMPLY] rude [PERIOD]
charming [AND] horrible [IMPLY] condemned [PERIO... | Proof chain:
wide-eyed ∧ cute ∧ charming ⇒ condemned
condemned ∧ wide-eyed ⇒ famous
famous ⇒ hurt
| 1 | 3 |
Facts: Batman is lonely [PERIOD] Batman is excited [PERIOD] Batman is easy [PERIOD] Batman is charming [PERIOD] Batman is witty [PERIOD] Batman is rude [PERIOD] Batman is powerful [PERIOD] Batman is perfect [PERIOD] Batman is stupid [PERIOD] Batman is mysterious [PERIOD] Batman is bored [PERIOD] Batman is courageous [... | Proof chain:
perfect ∧ bored ∧ courageous ⇒ aggressive
bored ⇒ blushing
aggressive ∧ blushing ∧ perfect ⇒ rational
| 1 | 3 |
Facts:
Rules:
precious [AND] quaint [AND] polite [IMPLY] sensible [PERIOD]
sensible [AND] quaint [AND] precious [IMPLY] rational [PERIOD]
enchanting [AND] polite [IMPLY] helpful [PERIOD]
rational [IMPLY] quaint [PERIOD]
enchanting [AND] helpful [IMPLY] quaint [PERIOD]
sensible [AND] polite [AND] quaint [IMPLY] enchant... | Proof chain:
Cannot apply rule “precious ∧ quaint ∧ polite ⇒ sensible” because missing: precious, quaint, polite.
Cannot apply rule “rational ∧ quaint ⇒ sensible” because missing: rational, quaint.
Cannot apply rule “helpful ∧ polite ⇒ sensible” because missing: helpful, polite.
| 0 | 3 |
Facts: Batman is blushing [PERIOD] Batman is strange [PERIOD]
Rules:
bossy [AND] wide-eyed [IMPLY] grumpy [PERIOD]
adorable [AND] proud [AND] blushing [IMPLY] agreeable [PERIOD]
serious [IMPLY] rude [PERIOD]
wide-eyed [AND] serious [IMPLY] adorable [PERIOD]
rude [IMPLY] average [PERIOD]
dishonest [IMPLY] light [PERIOD... | Proof chain:
Cannot apply rule “careless ⇒ bossy” because missing: careless.
Cannot apply rule “grumpy ∧ careless ⇒ bossy” because missing: grumpy, careless.
Cannot apply rule “attractive ∧ fearless ⇒ bossy” because missing: attractive, fearless.
| 0 | 3 |
Facts:
Rules:
different [AND] plain [AND] vivacious [IMPLY] bright [PERIOD]
plain [AND] grumpy [IMPLY] careless [PERIOD]
grumpy [AND] tidy [AND] careless [IMPLY] different [PERIOD]
vivacious [AND] grumpy [IMPLY] unpleasant [PERIOD]
embarrassed [AND] attractive [AND] tidy [IMPLY] bright [PERIOD]
careless [AND] combativ... | Proof chain:
Cannot apply rule “combative ⇒ plain” because missing: combative.
Cannot apply rule “embarrassed ∧ grumpy ∧ careless ⇒ plain” because missing: embarrassed, grumpy, careless.
Cannot apply rule “straightforward ∧ different ⇒ plain” because missing: straightforward, different.
| 0 | 3 |
Facts: Batman is confident [PERIOD] Batman is careless [PERIOD] Batman is hypocritical [PERIOD] Batman is pessimistic [PERIOD] Batman is inquisitive [PERIOD]
Rules:
careless [IMPLY] vivacious [PERIOD]
vivacious [AND] mysterious [AND] curious [IMPLY] messy [PERIOD]
polite [IMPLY] naughty [PERIOD]
tired [IMPLY] mysterio... | Proof chain:
confident ⇒ tense
careless ∧ tense ⇒ polite
polite ⇒ naughty
| 1 | 3 |
Facts: Batman is ambitious [PERIOD]
Rules:
zealous [AND] exuberant [IMPLY] thoughtful [PERIOD]
vivacious [IMPLY] rude [PERIOD]
clean [IMPLY] glamorous [PERIOD]
rude [IMPLY] zealous [PERIOD]
selfish [IMPLY] polite [PERIOD]
hilarious [IMPLY] exuberant [PERIOD]
inexpensive [IMPLY] outstanding [PERIOD]
hilarious [AND] gla... | Proof chain:
Cannot apply rule “clean ⇒ selfish” because missing: clean.
Cannot apply rule “ambitious ∧ rude ⇒ selfish” because missing: rude.
Cannot apply rule “vivacious ⇒ selfish” because missing: vivacious.
| 0 | 3 |
Facts: Batman is tame [PERIOD] Batman is mean [PERIOD] Batman is cute [PERIOD]
Rules:
tame [AND] outrageous [IMPLY] comfortable [PERIOD]
outrageous [IMPLY] cute [PERIOD]
outrageous [AND] innocent [AND] long [IMPLY] proud [PERIOD]
comfortable [AND] outrageous [AND] proud [IMPLY] cute [PERIOD]
innocent [AND] proud [IMPL... | Proof chain:
mean ∧ tame ⇒ innocent
innocent ⇒ comfortable
comfortable ∧ tame ∧ mean ⇒ outrageous
| 1 | 3 |
Facts: Batman is frantic [PERIOD]
Rules:
tired [AND] supportive [AND] thoughtful [IMPLY] quaint [PERIOD]
foolish [AND] embarrassed [IMPLY] tired [PERIOD]
tired [IMPLY] foolish [PERIOD]
frantic [AND] thoughtful [IMPLY] quaint [PERIOD]
crowded [IMPLY] bossy [PERIOD]
frantic [AND] tired [IMPLY] crowded [PERIOD]
thoughtfu... | Proof chain:
frantic ⇒ foolish
foolish ⇒ supportive
supportive ⇒ thoughtful
| 1 | 3 |
Facts: Batman is embarrassed [PERIOD] Batman is frightened [PERIOD] Batman is inquisitive [PERIOD]
Rules:
innocent [IMPLY] spotless [PERIOD]
inquisitive [IMPLY] fancy [PERIOD]
sincere [AND] frail [IMPLY] proud [PERIOD]
fancy [AND] frightened [IMPLY] sincere [PERIOD]
fancy [AND] innocent [IMPLY] selfish [PERIOD]
selfis... | Proof chain:
embarrassed ⇒ pessimistic
pessimistic ⇒ innocent
innocent ⇒ thoughtful
| 1 | 3 |
Facts: Batman is good [PERIOD] Batman is busy [PERIOD] Batman is talented [PERIOD] Batman is modern [PERIOD] Batman is outstanding [PERIOD] Batman is long [PERIOD] Batman is pleasant [PERIOD] Batman is thoughtful [PERIOD] Batman is gifted [PERIOD] Batman is victorious [PERIOD] Batman is vivacious [PERIOD] Batman is gl... | Proof chain:
good ∧ thoughtful ⇒ beautiful
glamorous ⇒ tidy
beautiful ∧ tidy ⇒ powerful
| 1 | 3 |
Facts:
Rules:
condemned [AND] hurt [IMPLY] frail [PERIOD]
precious [AND] good [AND] sleepy [IMPLY] hurt [PERIOD]
condemned [AND] hurt [AND] good [IMPLY] frail [PERIOD]
precious [IMPLY] frail [PERIOD]
hurt [IMPLY] frail [PERIOD]
precious [AND] sleepy [AND] frail [IMPLY] condemned [PERIOD]
good [AND] condemned [AND] hur... | Proof chain:
Cannot apply rule “good ∧ condemned ∧ hurt ⇒ precious” because missing: good, condemned, hurt.
Cannot apply rule “good ⇒ precious” because missing: good.
Cannot apply rule “hurt ⇒ precious” because missing: hurt.
| 0 | 3 |
Facts:
Rules:
tidy [IMPLY] impatient [PERIOD]
wide-eyed [AND] attractive [AND] clean [IMPLY] combative [PERIOD]
excited [AND] diplomatic [IMPLY] impatient [PERIOD]
busy [AND] cute [AND] lonely [IMPLY] polite [PERIOD]
polite [AND] frightened [IMPLY] attractive [PERIOD]
frightened [AND] tidy [AND] embarrassed [IMPLY] bu... | Proof chain:
Cannot apply rule “gifted ∧ confident ⇒ frightened” because missing: gifted, confident.
Cannot apply rule “combative ∧ impatient ⇒ frightened” because missing: combative, impatient.
Cannot apply rule “gifted ∧ mysterious ⇒ frightened” because missing: gifted, mysterious.
| 0 | 3 |
Facts: Batman is adorable [PERIOD] Batman is blushing [PERIOD]
Rules:
sensible [AND] enchanting [IMPLY] adorable [PERIOD]
clean [AND] hurt [IMPLY] popular [PERIOD]
crowded [AND] powerful [AND] popular [IMPLY] clumsy [PERIOD]
calm [IMPLY] enchanting [PERIOD]
impatient [IMPLY] adorable [PERIOD]
broad-minded [AND] blushi... | Proof chain:
adorable ⇒ calm
calm ⇒ impatient
impatient ⇒ hurt
| 1 | 3 |
Facts: Batman is wandering [PERIOD] Batman is difficult [PERIOD] Batman is grumpy [PERIOD] Batman is pleasant [PERIOD] Batman is talented [PERIOD] Batman is rude [PERIOD]
Rules:
impatient [AND] talented [IMPLY] nervous [PERIOD]
rude [AND] nervous [AND] alert [IMPLY] grumpy [PERIOD]
alert [AND] nervous [AND] rude [IMPL... | Proof chain:
difficult ⇒ shy
difficult ⇒ serious
talented ∧ shy ∧ serious ⇒ alert
| 1 | 3 |
Facts: Batman is talented [PERIOD]
Rules:
cute [IMPLY] bright [PERIOD]
talented [AND] pleasant [IMPLY] disobedient [PERIOD]
bright [AND] pleasant [AND] busy [IMPLY] cute [PERIOD]
bright [AND] pleasant [IMPLY] disobedient [PERIOD]
stubborn [AND] cute [AND] talented [IMPLY] busy [PERIOD]
bright [AND] talkative [IMPLY] s... | Proof chain:
Cannot apply rule “talented ∧ pleasant ⇒ disobedient” because missing: pleasant.
Cannot apply rule “bright ∧ pleasant ⇒ disobedient” because missing: bright, pleasant.
Cannot apply rule “spotless ∧ pleasant ∧ talented ⇒ disobedient” because missing: spotless, pleasant.
| 0 | 3 |
Facts: Batman is unpleasant [PERIOD] Batman is elegant [PERIOD] Batman is long [PERIOD] Batman is tidy [PERIOD] Batman is adorable [PERIOD] Batman is silly [PERIOD] Batman is calm [PERIOD]
Rules:
unpleasant [AND] fancy [IMPLY] tidy [PERIOD]
old-fashioned [AND] helpless [AND] charming [IMPLY] dishonest [PERIOD]
unpleas... | Proof chain:
tidy ⇒ polite
polite ∧ adorable ⇒ lonely
lonely ⇒ cute
| 1 | 3 |
Facts: Batman is tense [PERIOD] Batman is disobedient [PERIOD]
Rules:
naughty [AND] fearless [IMPLY] intellectual [PERIOD]
intellectual [IMPLY] naughty [PERIOD]
fearless [AND] intellectual [AND] tense [IMPLY] naughty [PERIOD]
intellectual [AND] naughty [AND] fearless [IMPLY] tense [PERIOD]
intellectual [IMPLY] tense [... | Proof chain:
tense ∧ disobedient ⇒ fearless
tense ∧ fearless ∧ disobedient ⇒ intellectual
intellectual ⇒ naughty
| 1 | 3 |
Facts: Batman is fine [PERIOD]
Rules:
zealous [IMPLY] frantic [PERIOD]
zealous [AND] fine [AND] tense [IMPLY] outrageous [PERIOD]
outrageous [IMPLY] frantic [PERIOD]
frantic [AND] fine [AND] zealous [IMPLY] average [PERIOD]
modern [AND] fine [IMPLY] zealous [PERIOD]
frantic [IMPLY] modern [PERIOD]
frantic [IMPLY] tens... | Proof chain:
Cannot apply rule “frantic ∧ fine ∧ zealous ⇒ average” because missing: frantic, zealous.
Cannot apply rule “frantic ⇒ average” because missing: frantic.
Cannot apply rule “modern ∧ zealous ∧ fine ⇒ average” because missing: modern, zealous.
| 0 | 3 |
Facts: Batman is frightened [PERIOD] Batman is careless [PERIOD]
Rules:
careless [IMPLY] witty [PERIOD]
aggressive [AND] witty [IMPLY] old-fashioned [PERIOD]
mysterious [AND] elegant [IMPLY] light [PERIOD]
rational [AND] frightened [AND] loving [IMPLY] elegant [PERIOD]
loving [AND] mysterious [AND] frightened [IMPLY] ... | Proof chain:
Cannot apply rule “rational ∧ elegant ∧ loving ⇒ mysterious” because missing: rational, elegant, loving.
Cannot apply rule “aggressive ∧ careless ∧ old-fashioned ⇒ mysterious” because missing: aggressive, old-fashioned.
Cannot apply rule “light ∧ aggressive ∧ loving ⇒ mysterious” because missing: ... | 0 | 3 |
Facts: Batman is horrible [PERIOD]
Rules:
precious [AND] wrong [IMPLY] rude [PERIOD]
troubled [AND] long [AND] thoughtful [IMPLY] rude [PERIOD]
rude [IMPLY] wrong [PERIOD]
disgusted [AND] worried [AND] rude [IMPLY] long [PERIOD]
troubled [IMPLY] thoughtful [PERIOD]
worried [AND] difficult [AND] thoughtful [IMPLY] tens... | Proof chain:
Cannot apply rule “troubled ⇒ thoughtful” because missing: troubled.
horrible ⇒ disgusted
Cannot apply rule “difficult ∧ precious ∧ disgusted ⇒ thoughtful” because missing: difficult, precious.
| 0 | 3 |
Facts: Batman is dishonest [PERIOD] Batman is inquisitive [PERIOD]
Rules:
mysterious [IMPLY] troubled [PERIOD]
alert [AND] shy [IMPLY] bad-tempered [PERIOD]
clean [AND] broad-minded [IMPLY] confused [PERIOD]
scared [AND] broad-minded [AND] quaint [IMPLY] thoughtful [PERIOD]
troubled [IMPLY] agreeable [PERIOD]
thoughtf... | Proof chain:
inquisitive ⇒ bad-tempered
bad-tempered ⇒ mysterious
mysterious ⇒ troubled
| 1 | 3 |
Facts: Batman is famous [PERIOD] Batman is glamorous [PERIOD] Batman is frail [PERIOD] Batman is modern [PERIOD]
Rules:
hypocritical [IMPLY] ugliest [PERIOD]
glamorous [IMPLY] famous [PERIOD]
glamorous [IMPLY] straightforward [PERIOD]
ugliest [AND] innocent [IMPLY] glamorous [PERIOD]
ugliest [IMPLY] long [PERIOD]
stub... | Proof chain:
glamorous ∧ frail ⇒ stupid
stupid ∧ frail ∧ modern ⇒ mysterious
famous ∧ frail ∧ mysterious ⇒ broad-minded
| 1 | 3 |
Facts: Batman is clean [PERIOD] Batman is talkative [PERIOD] Batman is gifted [PERIOD]
Rules:
inexpensive [AND] tidy [IMPLY] tame [PERIOD]
old-fashioned [AND] grumpy [AND] cute [IMPLY] clean [PERIOD]
cute [AND] courageous [AND] old-fashioned [IMPLY] talkative [PERIOD]
old-fashioned [IMPLY] tidy [PERIOD]
gifted [IMPLY]... | Proof chain:
talkative ⇒ tidy
tidy ⇒ tame
tame ⇒ inexpensive
| 1 | 3 |
Facts: Batman is amused [PERIOD] Batman is lucky [PERIOD] Batman is old-fashioned [PERIOD]
Rules:
fancy [AND] scared [IMPLY] diplomatic [PERIOD]
tidy [AND] reserved [IMPLY] frightened [PERIOD]
tidy [AND] amused [IMPLY] alert [PERIOD]
frightened [AND] cruel [IMPLY] amused [PERIOD]
cruel [AND] adorable [AND] amused [IMP... | Proof chain:
old-fashioned ⇒ beautiful
beautiful ⇒ scared
lucky ∧ scared ∧ old-fashioned ⇒ adorable
| 1 | 3 |
Facts: Batman is frantic [PERIOD]
Rules:
frantic [IMPLY] lonely [PERIOD]
attentive [AND] tame [IMPLY] intellectual [PERIOD]
tame [IMPLY] attentive [PERIOD]
uptight [AND] courageous [IMPLY] aggressive [PERIOD]
frantic [AND] spotless [IMPLY] inexpensive [PERIOD]
intellectual [IMPLY] proud [PERIOD]
frantic [AND] helpless... | Proof chain:
Cannot apply rule “confident ∧ proud ∧ frantic ⇒ stubborn” because missing: confident, proud.
Cannot apply rule “uptight ∧ attentive ⇒ stubborn” because missing: uptight, attentive.
Cannot apply rule “confident ∧ good ∧ uptight ⇒ stubborn” because missing: confident, good, uptight.
| 0 | 3 |
Facts:
Rules:
dull [AND] tired [AND] muddy [IMPLY] outrageous [PERIOD]
tired [IMPLY] dull [PERIOD]
muddy [IMPLY] supportive [PERIOD]
stupid [AND] muddy [AND] tired [IMPLY] calm [PERIOD]
calm [AND] outrageous [IMPLY] supportive [PERIOD]
muddy [IMPLY] stupid [PERIOD]
muddy [AND] supportive [IMPLY] stupid [PERIOD]
outrag... | Proof chain:
Cannot apply rule “muddy ⇒ supportive” because missing: muddy.
Cannot apply rule “calm ∧ outrageous ⇒ supportive” because missing: calm, outrageous.
Cannot apply rule “outrageous ⇒ supportive” because missing: outrageous.
| 0 | 3 |
Facts: Batman is naughty [PERIOD] Batman is adorable [PERIOD] Batman is clumsy [PERIOD] Batman is confused [PERIOD] Batman is difficult [PERIOD]
Rules:
anxious [IMPLY] enchanting [PERIOD]
intellectual [IMPLY] clumsy [PERIOD]
shy [AND] mysterious [AND] sleepy [IMPLY] naughty [PERIOD]
careless [AND] selfish [AND] intell... | Proof chain:
difficult ⇒ selfish
selfish ⇒ supportive
clumsy ∧ supportive ⇒ scared
| 1 | 3 |
Facts: Batman is cruel [PERIOD] Batman is hypocritical [PERIOD] Batman is nervous [PERIOD] Batman is fancy [PERIOD]
Rules:
helpless [AND] sleepy [AND] anxious [IMPLY] calm [PERIOD]
anxious [IMPLY] fancy [PERIOD]
sleepy [IMPLY] hilarious [PERIOD]
sleepy [IMPLY] bad-tempered [PERIOD]
joyous [IMPLY] helpless [PERIOD]
cru... | Proof chain:
nervous ⇒ weary
hypocritical ∧ weary ⇒ crowded
crowded ⇒ grumpy
| 1 | 3 |
Facts: Batman is careless [PERIOD]
Rules:
careless [AND] hypocritical [IMPLY] weary [PERIOD]
gleaming [AND] weary [IMPLY] hypocritical [PERIOD]
inexpensive [AND] disgusted [AND] weary [IMPLY] hypocritical [PERIOD]
weary [IMPLY] careless [PERIOD]
light [AND] straightforward [IMPLY] beautiful [PERIOD]
gleaming [AND] car... | Proof chain:
Cannot apply rule “gleaming ∧ weary ⇒ hypocritical” because missing: gleaming, weary.
Cannot apply rule “inexpensive ∧ disgusted ∧ weary ⇒ hypocritical” because missing: inexpensive, disgusted, weary.
Cannot apply rule “curious ⇒ hypocritical” because missing: curious.
| 0 | 3 |
Facts:
Rules:
ugliest [AND] pleasant [IMPLY] uptight [PERIOD]
good [IMPLY] bossy [PERIOD]
plain [AND] lucky [AND] tired [IMPLY] smart [PERIOD]
pleasant [IMPLY] cute [PERIOD]
ambitious [AND] tidy [IMPLY] cute [PERIOD]
ambitious [AND] bossy [IMPLY] wrong [PERIOD]
plain [AND] zealous [AND] grumpy [IMPLY] tense [PERIOD]
s... | Proof chain:
Cannot apply rule “zealous ∧ plain ⇒ good” because missing: zealous, plain.
Cannot apply rule “lucky ∧ tense ⇒ good” because missing: lucky, tense.
Cannot apply rule “grumpy ∧ mysterious ∧ shy ⇒ good” because missing: grumpy, mysterious, shy.
| 0 | 3 |
Facts: Batman is unpleasant [PERIOD] Batman is mysterious [PERIOD] Batman is impartial [PERIOD] Batman is different [PERIOD]
Rules:
unpleasant [IMPLY] amused [PERIOD]
cooperative [IMPLY] sleepy [PERIOD]
dishonest [AND] cooperative [AND] ambitious [IMPLY] disobedient [PERIOD]
amused [AND] embarrassed [IMPLY] ambitious ... | Proof chain:
impartial ⇒ agreeable
agreeable ⇒ frail
frail ⇒ sleepy
| 1 | 3 |
Facts: Batman is uptight [PERIOD] Batman is inquisitive [PERIOD] Batman is amused [PERIOD] Batman is charming [PERIOD] Batman is tired [PERIOD] Batman is smart [PERIOD] Batman is clumsy [PERIOD]
Rules:
embarrassed [AND] naughty [IMPLY] fearless [PERIOD]
reserved [IMPLY] clumsy [PERIOD]
amused [IMPLY] smart [PERIOD]
em... | Proof chain:
clumsy ⇒ powerful
smart ⇒ aggressive
powerful ∧ tired ∧ aggressive ⇒ impatient
| 1 | 3 |
Facts:
Rules:
rude [AND] mysterious [AND] tender [IMPLY] hurt [PERIOD]
tender [AND] stormy [IMPLY] sincere [PERIOD]
curious [AND] cooperative [IMPLY] rude [PERIOD]
outstanding [AND] precious [AND] mysterious [IMPLY] curious [PERIOD]
curious [IMPLY] hurt [PERIOD]
precious [AND] curious [AND] tender [IMPLY] stormy [PERI... | Proof chain:
Cannot apply rule “precious ∧ gleaming ⇒ cooperative” because missing: precious, gleaming.
Cannot apply rule “precious ∧ curious ⇒ cooperative” because missing: precious, curious.
Cannot apply rule “hurt ∧ sincere ∧ mysterious ⇒ cooperative” because missing: hurt, sincere, mysterious.
| 0 | 3 |
Facts: Batman is talented [PERIOD] Batman is dull [PERIOD]
Rules:
gorgeous [IMPLY] bad-tempered [PERIOD]
dull [IMPLY] stormy [PERIOD]
horrible [AND] selfish [AND] supportive [IMPLY] stormy [PERIOD]
outstanding [AND] blushing [AND] beautiful [IMPLY] stormy [PERIOD]
gifted [AND] beautiful [AND] impatient [IMPLY] bad-tem... | Proof chain:
dull ⇒ stormy
stormy ⇒ outstanding
outstanding ⇒ gifted
| 1 | 3 |
Facts: Batman is intellectual [PERIOD] Batman is diplomatic [PERIOD]
Rules:
diplomatic [IMPLY] confident [PERIOD]
diplomatic [AND] gifted [IMPLY] confident [PERIOD]
intellectual [AND] gifted [IMPLY] grumpy [PERIOD]
diplomatic [AND] gifted [AND] confident [IMPLY] intellectual [PERIOD]
confident [AND] grumpy [AND] intel... | Proof chain:
diplomatic ⇒ confident
diplomatic ∧ confident ⇒ gifted
intellectual ∧ gifted ⇒ grumpy
| 1 | 3 |
Facts: Batman is inexpensive [PERIOD] Batman is friendly [PERIOD] Batman is homely [PERIOD]
Rules:
wrong [IMPLY] gifted [PERIOD]
friendly [AND] intellectual [AND] disobedient [IMPLY] dull [PERIOD]
smart [AND] uptight [AND] tense [IMPLY] worried [PERIOD]
worried [AND] friendly [IMPLY] wrong [PERIOD]
gifted [IMPLY] tens... | Proof chain:
Cannot apply rule “wrong ⇒ gifted” because missing: wrong.
homely ⇒ disobedient
Cannot apply rule “disobedient ∧ reserved ∧ lucky ⇒ gifted” because missing: reserved, lucky.
| 0 | 3 |
Facts:
Rules:
strange [IMPLY] confident [PERIOD]
strange [AND] modern [IMPLY] talented [PERIOD]
tidy [AND] different [AND] embarrassed [IMPLY] busy [PERIOD]
embarrassed [AND] different [IMPLY] homely [PERIOD]
busy [IMPLY] worrisome [PERIOD]
homely [AND] confident [IMPLY] nervous [PERIOD]
embarrassed [IMPLY] different ... | Proof chain:
Cannot apply rule “tidy ∧ different ∧ embarrassed ⇒ busy” because missing: tidy, different, embarrassed.
Cannot apply rule “strange ⇒ busy” because missing: strange.
Cannot apply rule “confident ⇒ busy” because missing: confident.
| 0 | 3 |
Facts: Batman is intellectual [PERIOD]
Rules:
exuberant [IMPLY] inquisitive [PERIOD]
hypocritical [IMPLY] intellectual [PERIOD]
intellectual [AND] rational [AND] sensible [IMPLY] fearless [PERIOD]
inquisitive [AND] rational [IMPLY] fearless [PERIOD]
rational [AND] popular [IMPLY] inquisitive [PERIOD]
courageous [AND] ... | Proof chain:
Cannot apply rule “sensible ∧ exuberant ∧ serious ⇒ straightforward” because missing: sensible, exuberant, serious.
Cannot apply rule “exuberant ∧ rational ∧ popular ⇒ straightforward” because missing: exuberant, rational, popular.
Cannot apply rule “exuberant ∧ fearless ∧ popular ⇒ straightforwar... | 0 | 3 |
Facts: Batman is helpless [PERIOD] Batman is old-fashioned [PERIOD] Batman is pessimistic [PERIOD] Batman is messy [PERIOD] Batman is blushing [PERIOD] Batman is bossy [PERIOD]
Rules:
pessimistic [AND] homely [IMPLY] blushing [PERIOD]
precious [AND] old-fashioned [AND] blushing [IMPLY] homely [PERIOD]
pessimistic [IMP... | Proof chain:
messy ∧ old-fashioned ⇒ bad-tempered
messy ∧ helpless ⇒ different
blushing ∧ bad-tempered ∧ different ⇒ modern
| 1 | 3 |
Facts: Batman is horrible [PERIOD]
Rules:
gifted [AND] tense [IMPLY] strange [PERIOD]
mean [AND] fine [IMPLY] clean [PERIOD]
clean [AND] messy [AND] precious [IMPLY] strange [PERIOD]
inexpensive [IMPLY] nervous [PERIOD]
helpful [AND] clean [AND] nervous [IMPLY] gifted [PERIOD]
helpful [IMPLY] clean [PERIOD]
tense [AND... | Proof chain:
Cannot apply rule “horrible ∧ inexpensive ∧ precious ⇒ mean” because missing: inexpensive, precious.
Cannot apply rule “messy ⇒ mean” because missing: messy.
Cannot apply rule “fine ∧ precious ∧ messy ⇒ mean” because missing: fine, precious, messy.
| 0 | 3 |
Facts: Batman is hypocritical [PERIOD] Batman is gleaming [PERIOD] Batman is precious [PERIOD] Batman is muddy [PERIOD]
Rules:
clumsy [AND] bossy [AND] rude [IMPLY] impatient [PERIOD]
cruel [AND] pessimistic [IMPLY] adorable [PERIOD]
rude [AND] careless [IMPLY] precious [PERIOD]
impatient [AND] hypocritical [IMPLY] ru... | Proof chain:
muddy ⇒ rude
muddy ∧ rude ⇒ modern
gleaming ∧ modern ⇒ pessimistic
| 1 | 3 |
Facts: Batman is anxious [PERIOD] Batman is straightforward [PERIOD] Batman is jittery [PERIOD] Batman is embarrassed [PERIOD]
Rules:
fragile [AND] straightforward [AND] sensible [IMPLY] wandering [PERIOD]
outstanding [AND] tidy [AND] straightforward [IMPLY] anxious [PERIOD]
fragile [AND] tidy [AND] jittery [IMPLY] st... | Proof chain:
anxious ⇒ talkative
Cannot apply rule “talkative ∧ frail ∧ attentive ⇒ horrible” because missing: frail, attentive.
Cannot apply rule “uptight ∧ sensible ⇒ horrible” because missing: uptight, sensible.
| 0 | 3 |
Facts: Batman is muddy [PERIOD] Batman is mysterious [PERIOD] Batman is rude [PERIOD] Batman is ugly [PERIOD] Batman is enchanting [PERIOD] Batman is alert [PERIOD] Batman is gorgeous [PERIOD]
Rules:
spotless [IMPLY] clean [PERIOD]
tired [AND] tame [AND] ugly [IMPLY] versatile [PERIOD]
spotless [AND] thoughtless [AND]... | Proof chain:
alert ⇒ rational
rational ⇒ clean
clean ⇒ tired
| 1 | 3 |
Facts: Batman is serious [PERIOD] Batman is condemned [PERIOD] Batman is old-fashioned [PERIOD]
Rules:
good [AND] alert [AND] ambitious [IMPLY] sensible [PERIOD]
old-fashioned [AND] hypocritical [AND] disgusted [IMPLY] stormy [PERIOD]
light [AND] wrong [IMPLY] good [PERIOD]
muddy [AND] light [AND] hypocritical [IMPLY]... | Proof chain:
Cannot apply rule “troubled ∧ quaint ∧ ambitious ⇒ disgusted” because missing: troubled, quaint, ambitious.
Cannot apply rule “clumsy ∧ perfect ∧ sensible ⇒ disgusted” because missing: clumsy, perfect, sensible.
Cannot apply rule “good ∧ calm ⇒ disgusted” because missing: good, calm.
| 0 | 3 |
Facts: Batman is intellectual [PERIOD] Batman is cooperative [PERIOD] Batman is easy [PERIOD]
Rules:
versatile [AND] combative [IMPLY] fearless [PERIOD]
cute [AND] impatient [IMPLY] wide-eyed [PERIOD]
mean [AND] versatile [AND] excited [IMPLY] lonely [PERIOD]
elated [AND] impatient [IMPLY] intellectual [PERIOD]
mean [... | Proof chain:
Cannot apply rule “fancy ⇒ versatile” because missing: fancy.
easy ⇒ reserved
Cannot apply rule “wide-eyed ∧ reserved ∧ lonely ⇒ versatile” because missing: wide-eyed, lonely.
| 0 | 3 |
Facts: Batman is sensible [PERIOD] Batman is agreeable [PERIOD] Batman is straightforward [PERIOD] Batman is zealous [PERIOD] Batman is bossy [PERIOD]
Rules:
polite [AND] bossy [AND] unpleasant [IMPLY] bright [PERIOD]
frantic [AND] busy [IMPLY] enchanting [PERIOD]
polite [IMPLY] fine [PERIOD]
tidy [AND] bossy [AND] ag... | Proof chain:
bossy ⇒ attentive
attentive ⇒ frightened
frightened ⇒ frantic
| 1 | 3 |
Facts:
Rules:
ugliest [AND] gifted [IMPLY] weary [PERIOD]
gifted [IMPLY] stubborn [PERIOD]
famous [AND] disgusted [AND] innocent [IMPLY] impartial [PERIOD]
attractive [AND] disgusted [IMPLY] innocent [PERIOD]
stubborn [AND] weary [AND] innocent [IMPLY] attractive [PERIOD]
wandering [AND] spotless [AND] weary [IMPLY] w... | Proof chain:
Cannot apply rule “famous ∧ loving ⇒ wandering” because missing: famous, loving.
Cannot apply rule “loving ∧ impartial ∧ stubborn ⇒ wandering” because missing: loving, impartial, stubborn.
Cannot apply rule “famous ∧ innocent ∧ stubborn ⇒ wandering” because missing: famous, innocent, stubborn.
| 0 | 3 |
Facts: Batman is frightened [PERIOD]
Rules:
cooperative [AND] pleasant [AND] popular [IMPLY] powerful [PERIOD]
aggressive [AND] rude [AND] frightened [IMPLY] pleasant [PERIOD]
cooperative [AND] powerful [AND] pleasant [IMPLY] frightened [PERIOD]
cooperative [AND] pleasant [AND] frightened [IMPLY] rude [PERIOD]
powerfu... | Proof chain:
frightened ⇒ pleasant
pleasant ⇒ powerful
powerful ⇒ popular
| 1 | 3 |
Facts: Batman is broad-minded [PERIOD] Batman is cute [PERIOD] Batman is bored [PERIOD] Batman is pessimistic [PERIOD]
Rules:
cute [AND] joyous [AND] zealous [IMPLY] fearless [PERIOD]
zealous [IMPLY] frantic [PERIOD]
frantic [AND] cruel [AND] confident [IMPLY] pessimistic [PERIOD]
bored [AND] broad-minded [AND] fright... | Proof chain:
bored ⇒ thoughtless
thoughtless ⇒ zealous
zealous ⇒ frantic
| 1 | 3 |
Facts: Batman is clumsy [PERIOD]
Rules:
mysterious [IMPLY] careless [PERIOD]
gifted [AND] mysterious [AND] comfortable [IMPLY] anxious [PERIOD]
gifted [IMPLY] clumsy [PERIOD]
comfortable [IMPLY] long [PERIOD]
anxious [AND] clumsy [AND] comfortable [IMPLY] mysterious [PERIOD]
long [IMPLY] anxious [PERIOD]
gifted [AND] ... | Proof chain:
clumsy ⇒ anxious
clumsy ∧ anxious ⇒ mysterious
mysterious ⇒ comfortable
| 1 | 3 |
Facts: Batman is difficult [PERIOD] Batman is excited [PERIOD] Batman is precious [PERIOD]
Rules:
supportive [AND] gorgeous [IMPLY] comfortable [PERIOD]
supportive [AND] precious [AND] gorgeous [IMPLY] difficult [PERIOD]
inexpensive [AND] precious [IMPLY] innocent [PERIOD]
inexpensive [IMPLY] difficult [PERIOD]
inexpe... | Proof chain:
Cannot apply rule “supportive ∧ gorgeous ⇒ comfortable” because missing: supportive, gorgeous.
Cannot apply rule “innocent ⇒ comfortable” because missing: innocent.
Cannot apply rule “precious ∧ inexpensive ⇒ comfortable” because missing: inexpensive.
| 0 | 3 |
Facts: Batman is fancy [PERIOD] Batman is shy [PERIOD] Batman is anxious [PERIOD]
Rules:
friendly [AND] fancy [AND] quaint [IMPLY] charming [PERIOD]
shy [IMPLY] stupid [PERIOD]
victorious [AND] stupid [AND] wide-eyed [IMPLY] gifted [PERIOD]
quaint [AND] victorious [AND] stupid [IMPLY] jittery [PERIOD]
weary [AND] anxi... | Proof chain:
fancy ⇒ stupid
stupid ⇒ rude
Cannot apply rule “average ∧ quaint ∧ rude ⇒ reserved” because missing: average, quaint.
| 0 | 3 |
Facts: Batman is straightforward [PERIOD] Batman is different [PERIOD] Batman is curious [PERIOD] Batman is quaint [PERIOD] Batman is versatile [PERIOD] Batman is weary [PERIOD] Batman is glamorous [PERIOD] Batman is courageous [PERIOD] Batman is ugly [PERIOD] Batman is worried [PERIOD] Batman is mean [PERIOD] Batman ... | Proof chain:
curious ⇒ spotless
courageous ∧ spotless ∧ worried ⇒ intellectual
intellectual ∧ courageous ∧ quaint ⇒ naughty
| 1 | 3 |
Facts: Batman is ambitious [PERIOD] Batman is courageous [PERIOD] Batman is hypocritical [PERIOD] Batman is naughty [PERIOD] Batman is popular [PERIOD] Batman is zealous [PERIOD] Batman is embarrassed [PERIOD] Batman is vivacious [PERIOD] Batman is loving [PERIOD] Batman is dishonest [PERIOD]
Rules:
zealous [IMPLY] di... | Proof chain:
ambitious ⇒ frantic
frantic ⇒ comfortable
zealous ∧ courageous ∧ comfortable ⇒ charming
| 1 | 3 |
Facts: Batman is enchanting [PERIOD]
Rules:
friendly [IMPLY] average [PERIOD]
fearless [AND] frightened [AND] enchanting [IMPLY] average [PERIOD]
zealous [IMPLY] inquisitive [PERIOD]
zealous [AND] frightened [AND] friendly [IMPLY] inquisitive [PERIOD]
intellectual [IMPLY] zealous [PERIOD]
rude [IMPLY] enchanting [PERI... | Proof chain:
enchanting ⇒ intellectual
intellectual ⇒ zealous
zealous ⇒ inquisitive
| 1 | 3 |
Facts: Batman is innocent [PERIOD] Batman is enchanting [PERIOD] Batman is thoughtless [PERIOD] Batman is easy [PERIOD] Batman is disobedient [PERIOD] Batman is plain [PERIOD] Batman is reserved [PERIOD] Batman is shiny [PERIOD] Batman is condemned [PERIOD] Batman is combative [PERIOD] Batman is lucky [PERIOD] Batman ... | Proof chain:
shiny ∧ thoughtless ⇒ distinct
distinct ⇒ mean
mean ⇒ sincere
| 1 | 3 |
Facts: Batman is elated [PERIOD] Batman is smart [PERIOD] Batman is old-fashioned [PERIOD] Batman is shy [PERIOD] Batman is cooperative [PERIOD] Batman is mean [PERIOD]
Rules:
wide-eyed [IMPLY] stormy [PERIOD]
good [AND] zealous [AND] charming [IMPLY] mean [PERIOD]
sensible [AND] messy [AND] powerful [IMPLY] old-fashi... | Proof chain:
old-fashioned ∧ shy ⇒ troubled
troubled ∧ shy ⇒ pessimistic
pessimistic ∧ elated ⇒ powerful
| 1 | 3 |
Facts:
Rules:
messy [IMPLY] vivacious [PERIOD]
vivacious [IMPLY] talkative [PERIOD]
pessimistic [AND] sincere [AND] comfortable [IMPLY] talkative [PERIOD]
messy [IMPLY] sincere [PERIOD]
comfortable [IMPLY] hypocritical [PERIOD]
talkative [IMPLY] sincere [PERIOD]
glamorous [AND] talkative [AND] attentive [IMPLY] comfor... | Proof chain:
Cannot apply rule “messy ∧ glamorous ⇒ pessimistic” because missing: messy, glamorous.
Cannot apply rule “attentive ∧ vivacious ∧ talkative ⇒ pessimistic” because missing: attentive, vivacious, talkative.
Cannot apply rule “messy ⇒ pessimistic” because missing: messy.
| 0 | 3 |
Facts:
Rules:
joyous [AND] spotless [AND] clumsy [IMPLY] impatient [PERIOD]
careless [AND] famous [IMPLY] clumsy [PERIOD]
spotless [IMPLY] impatient [PERIOD]
spotless [AND] careless [IMPLY] impatient [PERIOD]
careless [AND] silly [AND] impatient [IMPLY] joyous [PERIOD]
clumsy [IMPLY] careless [PERIOD]
joyous [AND] bri... | Proof chain:
Cannot apply rule “joyous ∧ bright ∧ impatient ⇒ famous” because missing: joyous, bright, impatient.
Cannot apply rule “clumsy ⇒ famous” because missing: clumsy.
Cannot apply rule “bright ∧ clumsy ⇒ famous” because missing: bright, clumsy.
| 0 | 3 |
Facts: Batman is curious [PERIOD] Batman is mysterious [PERIOD] Batman is confident [PERIOD] Batman is fearless [PERIOD]
Rules:
cruel [AND] curious [AND] fearless [IMPLY] unpleasant [PERIOD]
vivacious [IMPLY] stormy [PERIOD]
curious [AND] talkative [IMPLY] confident [PERIOD]
stormy [AND] cruel [AND] talkative [IMPLY] ... | Proof chain:
Cannot apply rule “vivacious ⇒ stormy” because missing: vivacious.
confident ⇒ unpleasant
Cannot apply rule “cruel ∧ unpleasant ⇒ stormy” because missing: cruel.
| 0 | 3 |
Facts: Batman is stormy [PERIOD]
Rules:
confident [AND] muddy [AND] worried [IMPLY] gorgeous [PERIOD]
gorgeous [AND] muddy [IMPLY] cute [PERIOD]
worried [IMPLY] mean [PERIOD]
cute [AND] worried [AND] exuberant [IMPLY] confident [PERIOD]
talkative [AND] rude [IMPLY] stormy [PERIOD]
stormy [AND] gorgeous [IMPLY] worried... | Proof chain:
Cannot apply rule “stormy ∧ grumpy ∧ cute ⇒ muddy” because missing: grumpy, cute.
Cannot apply rule “cute ⇒ muddy” because missing: cute.
Cannot apply rule “stormy ∧ gorgeous ∧ mean ⇒ muddy” because missing: gorgeous, mean.
| 0 | 3 |
Facts: Batman is thoughtful [PERIOD] Batman is hurt [PERIOD] Batman is gleaming [PERIOD] Batman is sincere [PERIOD] Batman is fearless [PERIOD] Batman is straightforward [PERIOD] Batman is innocent [PERIOD] Batman is perfect [PERIOD] Batman is thoughtless [PERIOD] Batman is distinct [PERIOD]
Rules:
messy [IMPLY] strai... | Proof chain:
innocent ∧ gleaming ⇒ foolish
distinct ∧ fearless ∧ straightforward ⇒ charming
foolish ∧ charming ⇒ mean
| 1 | 3 |
Facts: Batman is lucky [PERIOD] Batman is rational [PERIOD]
Rules:
disgusted [AND] wide-eyed [AND] tidy [IMPLY] blushing [PERIOD]
agreeable [AND] hypocritical [AND] wandering [IMPLY] alert [PERIOD]
popular [AND] weary [IMPLY] reserved [PERIOD]
weary [IMPLY] foolish [PERIOD]
wide-eyed [IMPLY] wandering [PERIOD]
lucky [... | Proof chain:
Cannot apply rule “wide-eyed ⇒ wandering” because missing: wide-eyed.
Cannot apply rule “naughty ⇒ wandering” because missing: naughty.
Cannot apply rule “crowded ⇒ wandering” because missing: crowded.
| 0 | 3 |
Facts: Batman is old-fashioned [PERIOD]
Rules:
reserved [AND] weary [AND] old-fashioned [IMPLY] silly [PERIOD]
beautiful [AND] average [IMPLY] old-fashioned [PERIOD]
naughty [AND] crowded [IMPLY] attractive [PERIOD]
naughty [IMPLY] silly [PERIOD]
reserved [AND] crowded [AND] frightened [IMPLY] old-fashioned [PERIOD]
w... | Proof chain:
old-fashioned ⇒ naughty
naughty ⇒ silly
Cannot apply rule “silly ∧ attractive ⇒ precious” because missing: attractive.
| 0 | 3 |
Facts: Batman is glamorous [PERIOD] Batman is cooperative [PERIOD] Batman is disgusted [PERIOD] Batman is amused [PERIOD] Batman is precious [PERIOD] Batman is calm [PERIOD] Batman is loving [PERIOD] Batman is thoughtless [PERIOD] Batman is mean [PERIOD] Batman is old-fashioned [PERIOD] Batman is outrageous [PERIOD] B... | Proof chain:
amused ⇒ bossy
bossy ∧ hurt ⇒ aggressive
aggressive ⇒ uptight
| 1 | 3 |
Facts:
Rules:
careless [AND] precious [AND] strange [IMPLY] gleaming [PERIOD]
clumsy [IMPLY] attentive [PERIOD]
hilarious [IMPLY] worried [PERIOD]
stubborn [IMPLY] hilarious [PERIOD]
sincere [AND] attentive [AND] hilarious [IMPLY] clumsy [PERIOD]
hilarious [AND] precious [IMPLY] sincere [PERIOD]
precious [AND] clumsy ... | Proof chain:
Cannot apply rule “careless ∧ precious ∧ strange ⇒ gleaming” because missing: careless, precious, strange.
Cannot apply rule “precious ∧ friendly ∧ hilarious ⇒ gleaming” because missing: precious, friendly, hilarious.
Cannot apply rule “worried ⇒ gleaming” because missing: worried.
| 0 | 3 |
Facts: Batman is silly [PERIOD] Batman is spotless [PERIOD] Batman is anxious [PERIOD] Batman is diplomatic [PERIOD] Batman is tense [PERIOD]
Rules:
long [AND] tired [IMPLY] calm [PERIOD]
tired [IMPLY] diplomatic [PERIOD]
spotless [IMPLY] tense [PERIOD]
tense [IMPLY] spotless [PERIOD]
stupid [AND] anxious [IMPLY] sill... | Proof chain:
silly ∧ diplomatic ∧ tense ⇒ aggressive
aggressive ⇒ tired
tired ∧ spotless ⇒ worrisome
| 1 | 3 |
Facts:
Rules:
inexpensive [IMPLY] careless [PERIOD]
inexpensive [IMPLY] horrible [PERIOD]
bad-tempered [IMPLY] careless [PERIOD]
careless [IMPLY] horrible [PERIOD]
jittery [IMPLY] bad-tempered [PERIOD]
horrible [AND] inexpensive [IMPLY] bad-tempered [PERIOD]
jittery [AND] careless [IMPLY] horrible [PERIOD]
horrible [A... | Proof chain:
Cannot apply rule “horrible ∧ inexpensive ⇒ jittery” because missing: horrible, inexpensive.
Cannot apply rule “bad-tempered ∧ careless ∧ inexpensive ⇒ jittery” because missing: bad-tempered, careless, inexpensive.
Cannot apply rule “bad-tempered ⇒ jittery” because missing: bad-tempered.
| 0 | 3 |
Facts: Batman is beautiful [PERIOD] Batman is victorious [PERIOD] Batman is excited [PERIOD] Batman is lucky [PERIOD]
Rules:
talented [IMPLY] victorious [PERIOD]
blushing [AND] embarrassed [AND] excited [IMPLY] tense [PERIOD]
supportive [IMPLY] bright [PERIOD]
outstanding [AND] foolish [IMPLY] lucky [PERIOD]
supportiv... | Proof chain:
beautiful ⇒ comfortable
lucky ⇒ tense
comfortable ∧ tense ⇒ good
| 1 | 3 |
Facts:
Rules:
different [IMPLY] nervous [PERIOD]
different [AND] vivacious [AND] impartial [IMPLY] dishonest [PERIOD]
impartial [IMPLY] light [PERIOD]
homely [AND] straightforward [IMPLY] different [PERIOD]
clumsy [IMPLY] different [PERIOD]
impartial [AND] straightforward [IMPLY] different [PERIOD]
light [AND] differe... | Proof chain:
Cannot apply rule “different ⇒ nervous” because missing: different.
Cannot apply rule “light ∧ different ⇒ nervous” because missing: light, different.
Cannot apply rule “dishonest ∧ curious ∧ light ⇒ nervous” because missing: dishonest, curious, light.
| 0 | 3 |
Facts: Batman is uptight [PERIOD] Batman is pleasant [PERIOD] Batman is strange [PERIOD] Batman is blushing [PERIOD] Batman is condemned [PERIOD] Batman is popular [PERIOD] Batman is bored [PERIOD] Batman is beautiful [PERIOD] Batman is careless [PERIOD] Batman is thoughtful [PERIOD] Batman is confused [PERIOD] Batman... | Proof chain:
careless ∧ condemned ∧ popular ⇒ adorable
adorable ⇒ ugliest
ugliest ∧ bored ∧ confused ⇒ vivacious
| 1 | 3 |
Facts: Batman is light [PERIOD] Batman is lucky [PERIOD] Batman is nervous [PERIOD] Batman is homely [PERIOD] Batman is old-fashioned [PERIOD] Batman is worrisome [PERIOD]
Rules:
calm [AND] clean [AND] disgusted [IMPLY] lucky [PERIOD]
calm [AND] weary [IMPLY] old-fashioned [PERIOD]
disgusted [AND] old-fashioned [AND] ... | Proof chain:
nervous ∧ homely ⇒ hypocritical
homely ⇒ frightened
hypocritical ∧ frightened ⇒ witty
| 1 | 3 |
Facts: Batman is zealous [PERIOD] Batman is mysterious [PERIOD] Batman is helpful [PERIOD] Batman is agreeable [PERIOD] Batman is anxious [PERIOD] Batman is polite [PERIOD]
Rules:
stupid [AND] zealous [AND] modern [IMPLY] cruel [PERIOD]
straightforward [AND] troubled [IMPLY] polite [PERIOD]
comfortable [AND] frail [IM... | Proof chain:
zealous ⇒ sincere
helpful ⇒ cruel
sincere ∧ cruel ∧ zealous ⇒ stupid
| 1 | 3 |
Facts: Batman is excited [PERIOD] Batman is plain [PERIOD] Batman is hypocritical [PERIOD] Batman is talkative [PERIOD]
Rules:
shy [AND] disgusted [IMPLY] lucky [PERIOD]
grumpy [IMPLY] pessimistic [PERIOD]
hypocritical [AND] lucky [IMPLY] plain [PERIOD]
grumpy [AND] talkative [AND] mysterious [IMPLY] lucky [PERIOD]
ex... | Proof chain:
plain ⇒ disgusted
Cannot apply rule “excited ∧ pessimistic ∧ disgusted ⇒ mysterious” because missing: pessimistic.
Cannot apply rule “bright ⇒ mysterious” because missing: bright.
| 0 | 3 |
Facts: Batman is thoughtful [PERIOD] Batman is fine [PERIOD] Batman is aggressive [PERIOD] Batman is bad-tempered [PERIOD]
Rules:
friendly [AND] courageous [IMPLY] messy [PERIOD]
excited [AND] vivacious [IMPLY] weary [PERIOD]
zealous [AND] fine [IMPLY] cruel [PERIOD]
cruel [AND] silly [AND] courageous [IMPLY] excited ... | Proof chain:
Cannot apply rule “zealous ∧ fine ⇒ cruel” because missing: zealous.
Cannot apply rule “inquisitive ⇒ cruel” because missing: inquisitive.
Cannot apply rule “inquisitive ∧ tired ∧ embarrassed ⇒ cruel” because missing: inquisitive, tired, embarrassed.
| 0 | 3 |
Facts:
Rules:
stubborn [AND] tense [IMPLY] frail [PERIOD]
worrisome [AND] tense [IMPLY] stubborn [PERIOD]
worrisome [IMPLY] blushing [PERIOD]
worrisome [IMPLY] tense [PERIOD]
frail [IMPLY] worrisome [PERIOD]
tense [AND] worrisome [AND] stubborn [IMPLY] frail [PERIOD]
tense [IMPLY] frail [PERIOD]
blushing [AND] frail [... | Proof chain:
Cannot apply rule “stubborn ∧ tense ⇒ frail” because missing: stubborn, tense.
Cannot apply rule “tense ∧ worrisome ∧ stubborn ⇒ frail” because missing: tense, worrisome, stubborn.
Cannot apply rule “tense ⇒ frail” because missing: tense.
| 0 | 3 |
Facts: Batman is easy [PERIOD] Batman is lonely [PERIOD] Batman is grumpy [PERIOD] Batman is wandering [PERIOD]
Rules:
lonely [AND] gorgeous [AND] helpful [IMPLY] rude [PERIOD]
lonely [IMPLY] witty [PERIOD]
wandering [AND] lonely [IMPLY] witty [PERIOD]
attentive [AND] gorgeous [IMPLY] supportive [PERIOD]
gorgeous [AND... | Proof chain:
easy ⇒ disobedient
grumpy ⇒ attentive
wandering ∧ disobedient ∧ attentive ⇒ rude
| 1 | 3 |
Facts:
Rules:
beautiful [AND] messy [IMPLY] embarrassed [PERIOD]
intellectual [IMPLY] naughty [PERIOD]
messy [AND] naughty [IMPLY] straightforward [PERIOD]
naughty [IMPLY] agreeable [PERIOD]
messy [IMPLY] intellectual [PERIOD]
messy [IMPLY] naughty [PERIOD]
embarrassed [AND] naughty [IMPLY] agreeable [PERIOD]
naughty ... | Proof chain:
Cannot apply rule “intellectual ⇒ naughty” because missing: intellectual.
Cannot apply rule “messy ⇒ naughty” because missing: messy.
Cannot apply rule “straightforward ⇒ naughty” because missing: straightforward.
| 0 | 3 |
Facts:
Rules:
friendly [IMPLY] bored [PERIOD]
inexpensive [AND] confused [AND] distinct [IMPLY] shy [PERIOD]
confused [AND] friendly [IMPLY] bored [PERIOD]
perfect [AND] distinct [AND] friendly [IMPLY] shy [PERIOD]
friendly [AND] stubborn [AND] inexpensive [IMPLY] perfect [PERIOD]
friendly [IMPLY] inexpensive [PERIOD]... | Proof chain:
Cannot apply rule “friendly ∧ stubborn ∧ inexpensive ⇒ perfect” because missing: friendly, stubborn, inexpensive.
Cannot apply rule “confused ∧ stubborn ∧ inexpensive ⇒ perfect” because missing: confused, stubborn, inexpensive.
Cannot apply rule “crowded ∧ bored ⇒ perfect” because missing: crowded... | 0 | 3 |
Facts: Batman is bright [PERIOD] Batman is amused [PERIOD] Batman is quaint [PERIOD] Batman is adorable [PERIOD] Batman is excited [PERIOD]
Rules:
amused [AND] average [IMPLY] scared [PERIOD]
excited [AND] adorable [AND] precious [IMPLY] scared [PERIOD]
amused [AND] average [AND] precious [IMPLY] silly [PERIOD]
excite... | Proof chain:
excited ∧ bright ⇒ average
amused ∧ average ⇒ scared
scared ∧ bright ⇒ precious
| 1 | 3 |
Facts: Batman is confused [PERIOD] Batman is muddy [PERIOD] Batman is sleepy [PERIOD] Batman is dishonest [PERIOD] Batman is unpleasant [PERIOD]
Rules:
perfect [AND] foolish [AND] witty [IMPLY] muddy [PERIOD]
witty [AND] elated [IMPLY] unpleasant [PERIOD]
frail [AND] dishonest [AND] muddy [IMPLY] elated [PERIOD]
confu... | Proof chain:
Cannot apply rule “frail ∧ dishonest ∧ muddy ⇒ elated” because missing: frail.
Cannot apply rule “weary ∧ muddy ∧ dishonest ⇒ elated” because missing: weary.
Cannot apply rule “witty ∧ unpleasant ⇒ elated” because missing: witty.
| 0 | 3 |
Facts:
Rules:
charming [AND] wandering [IMPLY] smart [PERIOD]
charming [IMPLY] smart [PERIOD]
clumsy [AND] attractive [AND] smart [IMPLY] wandering [PERIOD]
wandering [AND] smart [AND] attractive [IMPLY] clumsy [PERIOD]
wandering [AND] charming [AND] attractive [IMPLY] clumsy [PERIOD]
clumsy [IMPLY] charming [PERIOD]
... | Proof chain:
Cannot apply rule “wandering ∧ smart ∧ attractive ⇒ clumsy” because missing: wandering, smart, attractive.
Cannot apply rule “wandering ∧ charming ∧ attractive ⇒ clumsy” because missing: wandering, charming, attractive.
Cannot apply rule “attractive ⇒ clumsy” because missing: attractive.
| 0 | 3 |
Facts: Batman is careless [PERIOD] Batman is spotless [PERIOD] Batman is shiny [PERIOD] Batman is thoughtless [PERIOD] Batman is agreeable [PERIOD] Batman is courageous [PERIOD]
Rules:
strange [AND] fancy [AND] joyous [IMPLY] zealous [PERIOD]
powerful [AND] serious [AND] precious [IMPLY] shy [PERIOD]
spotless [AND] jo... | Proof chain:
thoughtless ∧ shiny ⇒ tidy
agreeable ∧ tidy ⇒ hypocritical
thoughtless ∧ hypocritical ⇒ fancy
| 1 | 3 |
Facts:
Rules:
strange [AND] tender [AND] grumpy [IMPLY] scared [PERIOD]
spotless [IMPLY] lonely [PERIOD]
tender [AND] wrong [AND] grumpy [IMPLY] busy [PERIOD]
tender [AND] strange [AND] precious [IMPLY] grumpy [PERIOD]
tender [AND] fearless [AND] victorious [IMPLY] ugliest [PERIOD]
fearless [AND] busy [IMPLY] tender [... | Proof chain:
Cannot apply rule “clean ∧ lonely ∧ spotless ⇒ victorious” because missing: clean, lonely, spotless.
Cannot apply rule “nervous ∧ busy ⇒ victorious” because missing: nervous, busy.
Cannot apply rule “scared ∧ fearless ⇒ victorious” because missing: scared, fearless.
| 0 | 3 |
Facts: Batman is difficult [PERIOD]
Rules:
jittery [AND] diplomatic [IMPLY] silly [PERIOD]
elated [IMPLY] fearless [PERIOD]
light [AND] tender [AND] gleaming [IMPLY] elated [PERIOD]
difficult [AND] silly [IMPLY] gleaming [PERIOD]
jittery [AND] diplomatic [AND] light [IMPLY] loving [PERIOD]
victorious [IMPLY] hilarious... | Proof chain:
Cannot apply rule “tender ∧ silly ⇒ perfect” because missing: tender, silly.
Cannot apply rule “victorious ⇒ perfect” because missing: victorious.
Cannot apply rule “silly ⇒ perfect” because missing: silly.
| 0 | 3 |
Facts: Batman is agreeable [PERIOD] Batman is embarrassed [PERIOD]
Rules:
dishonest [IMPLY] pleasant [PERIOD]
supportive [AND] fragile [IMPLY] pleasant [PERIOD]
pleasant [AND] talkative [IMPLY] embarrassed [PERIOD]
scared [AND] pleasant [IMPLY] dishonest [PERIOD]
dishonest [IMPLY] glamorous [PERIOD]
ugly [AND] fancy [... | Proof chain:
Cannot apply rule “fancy ∧ talkative ⇒ fragile” because missing: fancy, talkative.
Cannot apply rule “glamorous ∧ pleasant ∧ stormy ⇒ fragile” because missing: glamorous, pleasant, stormy.
Cannot apply rule “fancy ∧ embarrassed ∧ ugly ⇒ fragile” because missing: fancy, ugly.
| 0 | 3 |
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