Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is thoughtful [PERIOD] Batman is sincere [PERIOD] Rules: thoughtful [IMPLY] clumsy [PERIOD] sincere [IMPLY] frightened [PERIOD] exuberant [AND] innocent [IMPLY] tender [PERIOD] glamorous [IMPLY] thoughtful [PERIOD] plain [AND] pleasant [IMPLY] exuberant [PERIOD] sincere [AND] plain [AND] pleasant [IMPLY]...
Proof chain: thoughtful ⇒ clumsy clumsy ⇒ mean mean ⇒ hurt hurt ⇒ outrageous sincere ∧ outrageous ⇒ exuberant
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5
Facts: Batman is homely [PERIOD] Rules: straightforward [IMPLY] homely [PERIOD] distinct [IMPLY] cooperative [PERIOD] plain [AND] pleasant [AND] homely [IMPLY] straightforward [PERIOD] spotless [IMPLY] elegant [PERIOD] elegant [AND] homely [IMPLY] spotless [PERIOD] spotless [AND] homely [IMPLY] worrisome [PERIOD] dist...
Proof chain: Cannot apply rule “pleasant ∧ straightforward ⇒ impartial” because missing: pleasant, straightforward. Cannot apply rule “straightforward ⇒ impartial” because missing: straightforward. Cannot apply rule “straightforward ∧ distinct ⇒ impartial” because missing: straightforward, distinct. Cannot ...
0
5
Facts: Batman is crowded [PERIOD] Batman is ambitious [PERIOD] Batman is inquisitive [PERIOD] Batman is light [PERIOD] Batman is ugliest [PERIOD] Batman is fancy [PERIOD] Rules: tender [AND] muddy [IMPLY] hypocritical [PERIOD] friendly [IMPLY] disgusted [PERIOD] friendly [IMPLY] beautiful [PERIOD] condemned [AND] disg...
Proof chain: fancy ⇒ disgusted disgusted ∧ ambitious ⇒ troubled ugliest ⇒ proud proud ⇒ innocent troubled ∧ innocent ⇒ tender
1
5
Facts: Batman is different [PERIOD] Batman is supportive [PERIOD] Batman is hilarious [PERIOD] Rules: different [IMPLY] serious [PERIOD] ambitious [AND] foolish [IMPLY] ugly [PERIOD] hilarious [AND] sleepy [IMPLY] ambitious [PERIOD] ugly [AND] supportive [AND] grumpy [IMPLY] modern [PERIOD] supportive [IMPLY] modern [...
Proof chain: hilarious ⇒ alert alert ⇒ ugly supportive ⇒ modern ugly ∧ modern ⇒ gleaming gleaming ⇒ sleepy
1
5
Facts: Batman is bad-tempered [PERIOD] Batman is aggressive [PERIOD] Batman is different [PERIOD] Rules: stormy [IMPLY] aggressive [PERIOD] stormy [AND] homely [IMPLY] different [PERIOD] mysterious [AND] aggressive [AND] different [IMPLY] stormy [PERIOD] mysterious [AND] homely [IMPLY] vivacious [PERIOD] powerful [AND...
Proof chain: bad-tempered ⇒ dishonest bad-tempered ⇒ silly bad-tempered ⇒ silly silly ⇒ stormy dishonest ∧ silly ∧ stormy ⇒ proud
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5
Facts: Batman is agreeable [PERIOD] Rules: precious [IMPLY] ugly [PERIOD] stormy [IMPLY] clean [PERIOD] ugly [IMPLY] frightened [PERIOD] hypocritical [AND] serious [AND] stubborn [IMPLY] exuberant [PERIOD] uptight [IMPLY] ugly [PERIOD] agreeable [IMPLY] exuberant [PERIOD] stormy [AND] serious [IMPLY] ugly [PERIOD] ugl...
Proof chain: Cannot apply rule “old-fashioned ∧ joyous ⇒ precious” because missing: old-fashioned, joyous. Cannot apply rule “troubled ∧ cruel ⇒ precious” because missing: troubled, cruel. Cannot apply rule “ugly ⇒ precious” because missing: ugly. Cannot apply rule “frightened ⇒ precious” because missing: f...
0
5
Facts: Batman is lonely [PERIOD] Batman is clumsy [PERIOD] Batman is serious [PERIOD] Batman is disobedient [PERIOD] Batman is troubled [PERIOD] Rules: wide-eyed [AND] lonely [AND] uptight [IMPLY] nervous [PERIOD] hilarious [AND] gorgeous [IMPLY] wide-eyed [PERIOD] gorgeous [IMPLY] serious [PERIOD] confident [AND] hil...
Proof chain: serious ⇒ fine fine ⇒ modern modern ⇒ gorgeous serious ∧ gorgeous ⇒ dishonest dishonest ∧ lonely ⇒ fearless
1
5
Facts: Batman is popular [PERIOD] Batman is modern [PERIOD] Batman is different [PERIOD] Batman is comfortable [PERIOD] Batman is friendly [PERIOD] Batman is proud [PERIOD] Rules: different [AND] wide-eyed [AND] homely [IMPLY] beautiful [PERIOD] elated [AND] bright [AND] sincere [IMPLY] polite [PERIOD] polite [AND] ve...
Proof chain: popular ⇒ outstanding outstanding ⇒ bright popular ⇒ confident comfortable ⇒ attentive bright ∧ confident ∧ attentive ⇒ cruel
1
5
Facts: Rules: light [AND] worrisome [IMPLY] muddy [PERIOD] proud [IMPLY] fragile [PERIOD] troubled [AND] inexpensive [IMPLY] talented [PERIOD] wide-eyed [IMPLY] talented [PERIOD] charming [AND] talented [AND] troubled [IMPLY] inexpensive [PERIOD] fragile [AND] talented [IMPLY] worrisome [PERIOD] curious [AND] fancy [I...
Proof chain: Cannot apply rule “fragile ∧ talented ⇒ worrisome” because missing: fragile, talented. Cannot apply rule “wide-eyed ∧ curious ∧ troubled ⇒ worrisome” because missing: wide-eyed, curious, troubled. Cannot apply rule “curious ∧ troubled ∧ inexpensive ⇒ worrisome” because missing: curious, troubled, ...
0
5
Facts: Batman is impatient [PERIOD] Batman is polite [PERIOD] Rules: polite [AND] serious [IMPLY] comfortable [PERIOD] easy [AND] sincere [IMPLY] sleepy [PERIOD] worried [AND] serious [AND] bright [IMPLY] mean [PERIOD] serious [AND] cute [AND] easy [IMPLY] vivacious [PERIOD] mysterious [AND] precious [AND] hilarious [...
Proof chain: Cannot apply rule “easy ∧ sincere ⇒ sleepy” because missing: easy, sincere. Cannot apply rule “comfortable ⇒ sleepy” because missing: comfortable. Cannot apply rule “gorgeous ⇒ sleepy” because missing: gorgeous. polite ⇒ bright Cannot apply rule “bright ∧ gorgeous ⇒ sleepy” because missing: ...
0
5
Facts: Rules: intellectual [IMPLY] talkative [PERIOD] excited [IMPLY] intellectual [PERIOD] powerful [AND] messy [IMPLY] tender [PERIOD] witty [AND] talkative [IMPLY] tense [PERIOD] polite [IMPLY] excited [PERIOD] clumsy [AND] straightforward [IMPLY] messy [PERIOD] precious [AND] wide-eyed [AND] tidy [IMPLY] clean [PE...
Proof chain: Cannot apply rule “powerful ∧ messy ⇒ tender” because missing: powerful, messy. Cannot apply rule “stormy ⇒ tender” because missing: stormy. Cannot apply rule “outrageous ⇒ tender” because missing: outrageous. Cannot apply rule “straightforward ∧ clumsy ∧ wide-eyed ⇒ tender” because missing: st...
0
5
Facts: Batman is excited [PERIOD] Batman is worried [PERIOD] Rules: hilarious [AND] mysterious [IMPLY] silly [PERIOD] worried [AND] sleepy [AND] thoughtless [IMPLY] different [PERIOD] hypocritical [IMPLY] pleasant [PERIOD] tame [AND] different [IMPLY] excited [PERIOD] crowded [IMPLY] worried [PERIOD] different [AND] t...
Proof chain: worried ⇒ troubled troubled ⇒ proud proud ⇒ distinct distinct ⇒ disobedient disobedient ⇒ talented
1
5
Facts: Batman is clumsy [PERIOD] Batman is calm [PERIOD] Rules: careless [IMPLY] pleasant [PERIOD] jittery [AND] vivacious [AND] fearless [IMPLY] fine [PERIOD] impatient [AND] fine [AND] jittery [IMPLY] attractive [PERIOD] clumsy [IMPLY] fearless [PERIOD] calm [AND] fearless [IMPLY] enchanting [PERIOD] clumsy [IMPLY] ...
Proof chain: calm ⇒ vivacious clumsy ⇒ fearless fearless ⇒ attractive clumsy ∧ attractive ∧ calm ⇒ cute vivacious ∧ cute ⇒ uptight
1
5
Facts: Batman is stubborn [PERIOD] Batman is troubled [PERIOD] Batman is wandering [PERIOD] Batman is average [PERIOD] Batman is calm [PERIOD] Batman is selfish [PERIOD] Batman is impatient [PERIOD] Rules: average [IMPLY] stubborn [PERIOD] different [AND] impatient [AND] enchanting [IMPLY] naughty [PERIOD] impatient [...
Proof chain: calm ∧ stubborn ∧ troubled ⇒ confident stubborn ⇒ ambitious ambitious ⇒ cooperative cooperative ∧ average ∧ stubborn ⇒ mean confident ∧ mean ∧ stubborn ⇒ muddy
1
5
Facts: Rules: versatile [AND] blushing [IMPLY] shy [PERIOD] light [IMPLY] shy [PERIOD] shy [AND] versatile [IMPLY] light [PERIOD] strange [AND] light [IMPLY] versatile [PERIOD] shy [AND] strange [IMPLY] blushing [PERIOD] versatile [AND] light [AND] shy [IMPLY] strange [PERIOD] shy [AND] blushing [IMPLY] light [PERIOD]...
Proof chain: Cannot apply rule “versatile ∧ blushing ⇒ shy” because missing: versatile, blushing. Cannot apply rule “light ⇒ shy” because missing: light. Cannot apply rule “strange ⇒ shy” because missing: strange. Cannot apply rule “blushing ∧ light ⇒ shy” because missing: blushing, light. Cannot apply r...
0
5
Facts: Batman is glamorous [PERIOD] Batman is worrisome [PERIOD] Batman is disgusted [PERIOD] Batman is selfish [PERIOD] Batman is troubled [PERIOD] Batman is fragile [PERIOD] Batman is elegant [PERIOD] Batman is cooperative [PERIOD] Rules: inquisitive [IMPLY] troubled [PERIOD] courageous [IMPLY] disgusted [PERIOD] wa...
Proof chain: troubled ⇒ alert alert ∧ selfish ⇒ straightforward straightforward ∧ selfish ⇒ wandering elegant ⇒ difficult Cannot apply rule “wandering ∧ embarrassed ∧ difficult ⇒ aggressive” because missing: embarrassed.
0
5
Facts: Batman is plain [PERIOD] Batman is stubborn [PERIOD] Batman is clumsy [PERIOD] Batman is different [PERIOD] Batman is horrible [PERIOD] Batman is diplomatic [PERIOD] Batman is rational [PERIOD] Rules: diplomatic [AND] plain [AND] modern [IMPLY] stubborn [PERIOD] horrible [IMPLY] different [PERIOD] tense [AND] c...
Proof chain: Cannot apply rule “plain ∧ modern ⇒ tender” because missing: modern. stubborn ⇒ nervous Cannot apply rule “modern ∧ nervous ∧ clumsy ⇒ tender” because missing: modern. plain ⇒ helpless Cannot apply rule “helpless ∧ rational ∧ disgusted ⇒ tender” because missing: disgusted.
0
5
Facts: Rules: disgusted [AND] perfect [AND] attentive [IMPLY] shy [PERIOD] loving [IMPLY] tidy [PERIOD] powerful [AND] disgusted [IMPLY] condemned [PERIOD] unpleasant [AND] thoughtful [AND] horrible [IMPLY] old-fashioned [PERIOD] old-fashioned [IMPLY] disgusted [PERIOD] inquisitive [AND] disgusted [IMPLY] reserved [PE...
Proof chain: Cannot apply rule “unpleasant ∧ loving ⇒ inquisitive” because missing: unpleasant, loving. Cannot apply rule “horrible ⇒ inquisitive” because missing: horrible. Cannot apply rule “horrible ∧ serious ⇒ inquisitive” because missing: horrible, serious. Cannot apply rule “tidy ∧ serious ⇒ inquisiti...
0
5
Facts: Batman is charming [PERIOD] Batman is hilarious [PERIOD] Batman is aggressive [PERIOD] Batman is worried [PERIOD] Batman is elegant [PERIOD] Batman is frail [PERIOD] Batman is amused [PERIOD] Batman is loving [PERIOD] Batman is light [PERIOD] Batman is witty [PERIOD] Rules: charming [IMPLY] hilarious [PERIOD] l...
Proof chain: aggressive ⇒ calm calm ∧ aggressive ⇒ innocent aggressive ⇒ calm frail ∧ calm ⇒ comfortable amused ∧ innocent ∧ comfortable ⇒ rational
1
5
Facts: Batman is gleaming [PERIOD] Batman is hurt [PERIOD] Batman is curious [PERIOD] Batman is helpless [PERIOD] Batman is wrong [PERIOD] Batman is elated [PERIOD] Batman is sleepy [PERIOD] Batman is polite [PERIOD] Rules: proud [AND] helpless [AND] fearless [IMPLY] gleaming [PERIOD] old-fashioned [IMPLY] hurt [PERIO...
Proof chain: helpless ⇒ talented wrong ⇒ vivacious wrong ⇒ tidy vivacious ∧ sleepy ∧ tidy ⇒ innocent talented ∧ innocent ∧ wrong ⇒ gifted
1
5
Facts: Batman is busy [PERIOD] Batman is joyous [PERIOD] Batman is attractive [PERIOD] Batman is cooperative [PERIOD] Rules: disgusted [AND] spotless [AND] elegant [IMPLY] cooperative [PERIOD] cooperative [AND] busy [IMPLY] troubled [PERIOD] cooperative [IMPLY] adorable [PERIOD] tired [IMPLY] spotless [PERIOD] lucky [...
Proof chain: cooperative ⇒ careless cooperative ⇒ adorable careless ∧ adorable ⇒ tired tired ⇒ disgusted disgusted ⇒ disobedient
1
5
Facts: Batman is nervous [PERIOD] Batman is helpful [PERIOD] Rules: zealous [AND] sensible [IMPLY] intellectual [PERIOD] sensible [AND] ugly [AND] bossy [IMPLY] zealous [PERIOD] broad-minded [AND] amused [AND] stupid [IMPLY] zealous [PERIOD] hilarious [AND] zealous [IMPLY] glamorous [PERIOD] lonely [AND] nervous [IMPL...
Proof chain: Cannot apply rule “hilarious ∧ zealous ⇒ glamorous” because missing: hilarious, zealous. Cannot apply rule “selfish ⇒ glamorous” because missing: selfish. Cannot apply rule “ugly ∧ impartial ∧ lonely ⇒ glamorous” because missing: ugly, impartial, lonely. Cannot apply rule “ugly ⇒ glamorous” bec...
0
5
Facts: Batman is tired [PERIOD] Batman is powerful [PERIOD] Rules: sincere [AND] loving [AND] exuberant [IMPLY] tired [PERIOD] sincere [IMPLY] reserved [PERIOD] loving [AND] reserved [IMPLY] powerful [PERIOD] loving [IMPLY] embarrassed [PERIOD] tired [AND] embarrassed [AND] exuberant [IMPLY] selfish [PERIOD] loving [A...
Proof chain: tired ⇒ exuberant exuberant ⇒ sincere sincere ⇒ reserved reserved ⇒ loving loving ⇒ embarrassed
1
5
Facts: Batman is stubborn [PERIOD] Batman is quaint [PERIOD] Batman is busy [PERIOD] Batman is mysterious [PERIOD] Rules: jittery [AND] tidy [IMPLY] sleepy [PERIOD] dull [AND] careless [IMPLY] jittery [PERIOD] fearless [AND] mysterious [IMPLY] frantic [PERIOD] dull [AND] fearless [IMPLY] busy [PERIOD] mysterious [AND]...
Proof chain: stubborn ∧ mysterious ⇒ bored stubborn ∧ bored ⇒ fearless fearless ∧ mysterious ⇒ frantic frantic ⇒ comfortable Cannot apply rule “nervous ∧ quaint ∧ comfortable ⇒ hilarious” because missing: nervous.
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5
Facts: Rules: wrong [AND] alert [AND] witty [IMPLY] lucky [PERIOD] witty [IMPLY] calm [PERIOD] wrong [AND] weary [AND] witty [IMPLY] uptight [PERIOD] witty [AND] weary [IMPLY] wrong [PERIOD] wrong [AND] calm [AND] witty [IMPLY] uptight [PERIOD] calm [AND] alert [AND] weary [IMPLY] wrong [PERIOD] lucky [AND] uptight [A...
Proof chain: Cannot apply rule “wrong ∧ alert ∧ witty ⇒ lucky” because missing: wrong, alert, witty. Cannot apply rule “calm ∧ weary ⇒ lucky” because missing: calm, weary. Cannot apply rule “weary ⇒ lucky” because missing: weary. Cannot apply rule “wrong ∧ witty ⇒ lucky” because missing: wrong, witty. Ca...
0
5
Facts: Batman is lucky [PERIOD] Batman is zealous [PERIOD] Batman is versatile [PERIOD] Batman is average [PERIOD] Batman is stubborn [PERIOD] Rules: powerful [AND] inquisitive [IMPLY] combative [PERIOD] combative [IMPLY] beautiful [PERIOD] wrong [IMPLY] tame [PERIOD] stormy [AND] stubborn [AND] tame [IMPLY] average [...
Proof chain: lucky ⇒ combative combative ⇒ beautiful beautiful ⇒ thoughtful thoughtful ⇒ difficult difficult ⇒ frightened
1
5
Facts: Batman is shy [PERIOD] Rules: careless [AND] wandering [IMPLY] popular [PERIOD] thoughtful [IMPLY] helpless [PERIOD] popular [AND] polite [IMPLY] tidy [PERIOD] elated [AND] clumsy [AND] careless [IMPLY] tidy [PERIOD] shy [AND] cooperative [IMPLY] tidy [PERIOD] polite [IMPLY] dishonest [PERIOD] helpless [AND] sh...
Proof chain: Cannot apply rule “popular ∧ polite ⇒ tidy” because missing: popular, polite. Cannot apply rule “elated ∧ clumsy ∧ careless ⇒ tidy” because missing: elated, clumsy, careless. Cannot apply rule “shy ∧ cooperative ⇒ tidy” because missing: cooperative. Cannot apply rule “wandering ∧ dishonest ⇒ ti...
0
5
Facts: Batman is clumsy [PERIOD] Batman is uptight [PERIOD] Batman is tense [PERIOD] Batman is polite [PERIOD] Rules: nervous [AND] talented [AND] tense [IMPLY] smart [PERIOD] cute [IMPLY] vivacious [PERIOD] amused [AND] nervous [AND] uptight [IMPLY] smart [PERIOD] tense [AND] cruel [AND] amused [IMPLY] polite [PERIOD...
Proof chain: Cannot apply rule “nervous ∧ talented ∧ tense ⇒ smart” because missing: nervous, talented. Cannot apply rule “amused ∧ nervous ∧ uptight ⇒ smart” because missing: amused, nervous. uptight ⇒ cruel Cannot apply rule “talented ∧ cruel ⇒ smart” because missing: talented. Cannot apply rule “clums...
0
5
Facts: Batman is curious [PERIOD] Batman is pessimistic [PERIOD] Rules: impatient [IMPLY] pessimistic [PERIOD] tidy [IMPLY] curious [PERIOD] confused [AND] sincere [IMPLY] aggressive [PERIOD] aggressive [AND] confused [IMPLY] impatient [PERIOD] messy [AND] aggressive [IMPLY] anxious [PERIOD] messy [IMPLY] sincere [PER...
Proof chain: pessimistic ⇒ fancy pessimistic ∧ curious ∧ fancy ⇒ confused pessimistic ⇒ bossy bossy ⇒ sincere confused ∧ sincere ⇒ aggressive
1
5
Facts: Batman is amused [PERIOD] Batman is curious [PERIOD] Rules: frantic [AND] straightforward [IMPLY] worried [PERIOD] uptight [AND] powerful [IMPLY] disgusted [PERIOD] straightforward [AND] plain [IMPLY] uptight [PERIOD] uptight [IMPLY] hilarious [PERIOD] straightforward [AND] helpful [AND] cooperative [IMPLY] fra...
Proof chain: amused ⇒ combative combative ⇒ confused confused ⇒ plain plain ⇒ frantic frantic ⇒ disgusted
1
5
Facts: Batman is easy [PERIOD] Batman is excited [PERIOD] Batman is perfect [PERIOD] Batman is average [PERIOD] Batman is clean [PERIOD] Batman is cute [PERIOD] Batman is powerful [PERIOD] Rules: light [AND] powerful [IMPLY] exuberant [PERIOD] amused [AND] powerful [IMPLY] easy [PERIOD] perfect [IMPLY] condemned [PERI...
Proof chain: perfect ⇒ condemned condemned ⇒ anxious perfect ⇒ condemned condemned ∧ powerful ∧ excited ⇒ stubborn anxious ∧ stubborn ∧ powerful ⇒ worried
1
5
Facts: Batman is attractive [PERIOD] Batman is pessimistic [PERIOD] Rules: comfortable [IMPLY] talkative [PERIOD] pessimistic [IMPLY] alert [PERIOD] tired [IMPLY] comfortable [PERIOD] silly [AND] precious [IMPLY] glamorous [PERIOD] precious [AND] pessimistic [IMPLY] attractive [PERIOD] weary [AND] attractive [AND] blu...
Proof chain: pessimistic ⇒ alert alert ∧ pessimistic ⇒ precious pessimistic ⇒ alert alert ⇒ tired precious ∧ tired ∧ attractive ⇒ talkative
1
5
Facts: Batman is zealous [PERIOD] Batman is straightforward [PERIOD] Batman is attractive [PERIOD] Batman is gorgeous [PERIOD] Batman is elated [PERIOD] Batman is combative [PERIOD] Batman is clumsy [PERIOD] Batman is attentive [PERIOD] Batman is inexpensive [PERIOD] Batman is bright [PERIOD] Batman is distinct [PERIO...
Proof chain: distinct ⇒ ugliest ugliest ∧ attractive ∧ helpful ⇒ cruel combative ⇒ quaint Cannot apply rule “cruel ∧ quaint ∧ exuberant ⇒ courageous” because missing: exuberant. Cannot apply rule “exuberant ∧ attractive ⇒ courageous” because missing: exuberant.
0
5
Facts: Batman is embarrassed [PERIOD] Batman is different [PERIOD] Batman is cruel [PERIOD] Rules: witty [AND] distinct [IMPLY] outstanding [PERIOD] loving [AND] frightened [IMPLY] embarrassed [PERIOD] frightened [IMPLY] stubborn [PERIOD] pleasant [AND] glamorous [IMPLY] adorable [PERIOD] jittery [AND] inexpensive [AN...
Proof chain: embarrassed ⇒ pleasant embarrassed ⇒ pleasant pleasant ⇒ frightened frightened ⇒ stubborn pleasant ∧ different ∧ stubborn ⇒ distinct
1
5
Facts: Batman is thoughtless [PERIOD] Batman is glamorous [PERIOD] Batman is wandering [PERIOD] Batman is witty [PERIOD] Batman is cruel [PERIOD] Batman is shy [PERIOD] Batman is homely [PERIOD] Batman is thoughtful [PERIOD] Batman is frightened [PERIOD] Batman is messy [PERIOD] Rules: shiny [IMPLY] troubled [PERIOD] ...
Proof chain: thoughtless ⇒ amused cruel ⇒ shiny shiny ⇒ troubled cruel ⇒ shiny amused ∧ troubled ∧ shiny ⇒ calm
1
5
Facts: Batman is talented [PERIOD] Batman is uptight [PERIOD] Batman is outrageous [PERIOD] Batman is shy [PERIOD] Rules: talented [AND] bossy [IMPLY] unpleasant [PERIOD] calm [IMPLY] plain [PERIOD] talented [IMPLY] stormy [PERIOD] bossy [AND] spotless [AND] rational [IMPLY] stormy [PERIOD] shy [AND] outrageous [AND] ...
Proof chain: uptight ∧ shy ⇒ bossy talented ∧ shy ∧ bossy ⇒ agreeable uptight ∧ shy ⇒ bossy talented ∧ bossy ⇒ unpleasant agreeable ∧ shy ∧ unpleasant ⇒ thoughtless
1
5
Facts: Batman is lucky [PERIOD] Batman is worried [PERIOD] Batman is pleasant [PERIOD] Rules: reserved [IMPLY] mysterious [PERIOD] reserved [AND] lucky [AND] anxious [IMPLY] hilarious [PERIOD] mysterious [AND] confused [AND] pleasant [IMPLY] bright [PERIOD] clumsy [AND] easy [AND] alert [IMPLY] adorable [PERIOD] alert...
Proof chain: Cannot apply rule “reserved ∧ lucky ∧ anxious ⇒ hilarious” because missing: reserved, anxious. Cannot apply rule “easy ∧ pleasant ⇒ hilarious” because missing: easy. Cannot apply rule “confused ∧ lucky ∧ anxious ⇒ hilarious” because missing: confused, anxious. Cannot apply rule “bright ∧ reserv...
0
5
Facts: Batman is cooperative [PERIOD] Batman is rational [PERIOD] Batman is zealous [PERIOD] Rules: straightforward [AND] curious [AND] distinct [IMPLY] zealous [PERIOD] stubborn [AND] tidy [IMPLY] curious [PERIOD] busy [IMPLY] quaint [PERIOD] stubborn [IMPLY] reserved [PERIOD] clean [IMPLY] reserved [PERIOD] elated [...
Proof chain: rational ⇒ tidy tidy ⇒ enchanting rational ∧ enchanting ⇒ famous cooperative ⇒ distinct famous ∧ zealous ∧ distinct ⇒ jittery
1
5
Facts: Batman is exuberant [PERIOD] Batman is diplomatic [PERIOD] Batman is curious [PERIOD] Batman is clumsy [PERIOD] Rules: clean [IMPLY] spotless [PERIOD] exuberant [AND] clumsy [AND] victorious [IMPLY] combative [PERIOD] exuberant [AND] curious [AND] vivacious [IMPLY] combative [PERIOD] exuberant [AND] clean [AND]...
Proof chain: Cannot apply rule “clean ⇒ spotless” because missing: clean. Cannot apply rule “clean ∧ broad-minded ∧ curious ⇒ spotless” because missing: clean, broad-minded. diplomatic ⇒ victorious Cannot apply rule “curious ∧ broad-minded ∧ victorious ⇒ spotless” because missing: broad-minded. Cannot ap...
0
5
Facts: Batman is amused [PERIOD] Batman is jittery [PERIOD] Batman is grumpy [PERIOD] Batman is disobedient [PERIOD] Batman is spotless [PERIOD] Batman is weary [PERIOD] Batman is sincere [PERIOD] Batman is plain [PERIOD] Batman is calm [PERIOD] Batman is careless [PERIOD] Rules: quaint [AND] disobedient [AND] sincere...
Proof chain: plain ∧ spotless ⇒ serious Cannot apply rule “serious ∧ lucky ∧ impatient ⇒ quaint” because missing: lucky, impatient. Cannot apply rule “alert ∧ courageous ∧ plain ⇒ quaint” because missing: alert, courageous. Cannot apply rule “alert ⇒ quaint” because missing: alert. Cannot apply rule “agr...
0
5
Facts: Batman is disobedient [PERIOD] Batman is busy [PERIOD] Batman is sleepy [PERIOD] Batman is rude [PERIOD] Batman is frantic [PERIOD] Rules: sensible [AND] serious [IMPLY] frantic [PERIOD] unpleasant [AND] bossy [IMPLY] shy [PERIOD] shy [IMPLY] sensible [PERIOD] cute [AND] wide-eyed [AND] dishonest [IMPLY] sensib...
Proof chain: frantic ⇒ cute disobedient ∧ frantic ⇒ wide-eyed wide-eyed ⇒ unpleasant disobedient ∧ frantic ⇒ wide-eyed cute ∧ unpleasant ∧ wide-eyed ⇒ tender
1
5
Facts: Batman is mysterious [PERIOD] Batman is joyous [PERIOD] Rules: elegant [IMPLY] modern [PERIOD] weary [IMPLY] modern [PERIOD] modern [IMPLY] weary [PERIOD] naughty [AND] aggressive [IMPLY] stubborn [PERIOD] messy [IMPLY] lonely [PERIOD] modern [AND] weary [IMPLY] messy [PERIOD] mysterious [IMPLY] modern [PERIOD]...
Proof chain: mysterious ⇒ modern mysterious ⇒ modern modern ⇒ weary modern ∧ weary ⇒ messy messy ⇒ lonely
1
5
Facts: Batman is condemned [PERIOD] Batman is comfortable [PERIOD] Batman is wide-eyed [PERIOD] Batman is blushing [PERIOD] Batman is talkative [PERIOD] Batman is quaint [PERIOD] Batman is ambitious [PERIOD] Batman is jittery [PERIOD] Rules: smart [IMPLY] distinct [PERIOD] smart [AND] horrible [AND] beautiful [IMPLY] ...
Proof chain: wide-eyed ⇒ mysterious talkative ⇒ curious mysterious ∧ curious ⇒ inquisitive quaint ∧ comfortable ⇒ fancy condemned ∧ inquisitive ∧ fancy ⇒ pessimistic
1
5
Facts: Batman is uptight [PERIOD] Batman is anxious [PERIOD] Batman is modern [PERIOD] Batman is reserved [PERIOD] Batman is lonely [PERIOD] Batman is attractive [PERIOD] Rules: reserved [IMPLY] famous [PERIOD] gorgeous [AND] clumsy [IMPLY] shiny [PERIOD] difficult [AND] unpleasant [AND] gorgeous [IMPLY] innocent [PER...
Proof chain: anxious ⇒ shiny shiny ⇒ alert anxious ⇒ crowded crowded ⇒ courageous alert ∧ courageous ⇒ calm
1
5
Facts: Batman is quaint [PERIOD] Batman is ugliest [PERIOD] Rules: elegant [AND] smart [IMPLY] inexpensive [PERIOD] smart [IMPLY] careless [PERIOD] crowded [AND] proud [AND] homely [IMPLY] courageous [PERIOD] famous [AND] talkative [IMPLY] courageous [PERIOD] ugliest [AND] smart [IMPLY] gleaming [PERIOD] intellectual ...
Proof chain: quaint ⇒ famous famous ⇒ gorgeous quaint ⇒ inexpensive inexpensive ⇒ talkative gorgeous ∧ talkative ⇒ gleaming
1
5
Facts: Batman is shiny [PERIOD] Batman is tame [PERIOD] Batman is elated [PERIOD] Batman is clean [PERIOD] Batman is disgusted [PERIOD] Batman is gifted [PERIOD] Batman is charming [PERIOD] Batman is alert [PERIOD] Batman is aggressive [PERIOD] Rules: calm [AND] clean [AND] fragile [IMPLY] adorable [PERIOD] alert [IMP...
Proof chain: tame ⇒ strange tame ⇒ strange clean ∧ strange ∧ tame ⇒ powerful strange ∧ tame ∧ powerful ⇒ hurt gifted ∧ hurt ⇒ fancy
1
5
Facts: Batman is shy [PERIOD] Batman is disgusted [PERIOD] Rules: frantic [IMPLY] precious [PERIOD] cute [IMPLY] thoughtless [PERIOD] mean [AND] fragile [AND] scared [IMPLY] gorgeous [PERIOD] fragile [AND] cute [IMPLY] ugly [PERIOD] reserved [IMPLY] bright [PERIOD] polite [AND] fragile [AND] shy [IMPLY] cooperative [P...
Proof chain: Cannot apply rule “reserved ⇒ bright” because missing: reserved. Cannot apply rule “mean ∧ ugliest ∧ powerful ⇒ bright” because missing: mean, ugliest, powerful. Cannot apply rule “cute ⇒ bright” because missing: cute. Cannot apply rule “charming ⇒ bright” because missing: charming. Cannot a...
0
5
Facts: Batman is lucky [PERIOD] Rules: outrageous [IMPLY] reserved [PERIOD] reserved [AND] lucky [AND] gleaming [IMPLY] unpleasant [PERIOD] lucky [AND] gifted [AND] beautiful [IMPLY] impartial [PERIOD] broad-minded [IMPLY] gleaming [PERIOD] rational [AND] gifted [IMPLY] shy [PERIOD] unpleasant [AND] reserved [IMPLY] b...
Proof chain: Cannot apply rule “reserved ∧ lucky ∧ gleaming ⇒ unpleasant” because missing: reserved, gleaming. Cannot apply rule “gifted ∧ outrageous ∧ reserved ⇒ unpleasant” because missing: gifted, outrageous, reserved. Cannot apply rule “outrageous ∧ tense ∧ reserved ⇒ unpleasant” because missing: outrageou...
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Facts: Batman is disgusted [PERIOD] Rules: nervous [AND] hilarious [AND] helpful [IMPLY] disgusted [PERIOD] nervous [IMPLY] charming [PERIOD] popular [AND] shiny [AND] foolish [IMPLY] crowded [PERIOD] foolish [IMPLY] charming [PERIOD] crowded [IMPLY] shiny [PERIOD] diplomatic [AND] confused [IMPLY] cruel [PERIOD] lovi...
Proof chain: Cannot apply rule “charming ∧ broad-minded ∧ helpless ⇒ helpful” because missing: charming, broad-minded, helpless. Cannot apply rule “charming ∧ famous ⇒ helpful” because missing: charming, famous. Cannot apply rule “confused ∧ famous ∧ crowded ⇒ helpful” because missing: confused, famous, crowde...
0
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Facts: Batman is impartial [PERIOD] Rules: helpless [IMPLY] silly [PERIOD] polite [AND] friendly [AND] vivacious [IMPLY] blushing [PERIOD] impartial [AND] calm [IMPLY] long [PERIOD] fragile [AND] perfect [AND] rude [IMPLY] worried [PERIOD] long [AND] worrisome [IMPLY] attractive [PERIOD] vivacious [IMPLY] shy [PERIOD]...
Proof chain: Cannot apply rule “friendly ⇒ grumpy” because missing: friendly. Cannot apply rule “long ⇒ grumpy” because missing: long. Cannot apply rule “silly ∧ alert ⇒ grumpy” because missing: silly, alert. Cannot apply rule “shy ⇒ grumpy” because missing: shy. Cannot apply rule “mean ∧ blushing ⇒ grum...
0
5
Facts: Batman is ugliest [PERIOD] Batman is courageous [PERIOD] Batman is rational [PERIOD] Batman is hurt [PERIOD] Batman is naughty [PERIOD] Batman is homely [PERIOD] Rules: naughty [IMPLY] nervous [PERIOD] spotless [IMPLY] tame [PERIOD] hurt [IMPLY] naughty [PERIOD] wrong [AND] courageous [IMPLY] nervous [PERIOD] r...
Proof chain: naughty ⇒ nervous homely ⇒ sleepy courageous ∧ nervous ∧ sleepy ⇒ messy messy ∧ homely ∧ ugliest ⇒ spotless spotless ⇒ tame
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Facts: Batman is troubled [PERIOD] Rules: aggressive [IMPLY] victorious [PERIOD] popular [AND] victorious [IMPLY] distinct [PERIOD] aggressive [IMPLY] popular [PERIOD] aggressive [AND] tidy [AND] popular [IMPLY] victorious [PERIOD] tidy [AND] troubled [AND] distinct [IMPLY] aggressive [PERIOD] aggressive [IMPLY] disti...
Proof chain: troubled ⇒ distinct distinct ⇒ tidy troubled ⇒ distinct tidy ∧ troubled ∧ distinct ⇒ aggressive aggressive ⇒ popular
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Facts: Batman is wide-eyed [PERIOD] Batman is embarrassed [PERIOD] Rules: foolish [AND] fearless [IMPLY] adorable [PERIOD] fearless [AND] talented [AND] tender [IMPLY] attentive [PERIOD] precious [AND] fearless [AND] distinct [IMPLY] foolish [PERIOD] embarrassed [AND] ambitious [IMPLY] vivacious [PERIOD] distinct [IMP...
Proof chain: Cannot apply rule “embarrassed ∧ ambitious ⇒ vivacious” because missing: ambitious. Cannot apply rule “talented ∧ tender ∧ wide-eyed ⇒ vivacious” because missing: talented, tender. wide-eyed ⇒ attentive embarrassed ∧ attentive ⇒ distinct Cannot apply rule “distinct ∧ tidy ∧ tender ⇒ vivaciou...
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Facts: Rules: amused [AND] rational [AND] ambitious [IMPLY] homely [PERIOD] bright [AND] serious [AND] frantic [IMPLY] strange [PERIOD] bright [AND] rational [IMPLY] homely [PERIOD] famous [IMPLY] ambitious [PERIOD] famous [AND] ambitious [AND] amused [IMPLY] rational [PERIOD] bright [IMPLY] ambitious [PERIOD] famous ...
Proof chain: Cannot apply rule “silly ⇒ frantic” because missing: silly. Cannot apply rule “straightforward ⇒ frantic” because missing: straightforward. Cannot apply rule “strange ∧ pessimistic ∧ tame ⇒ frantic” because missing: strange, pessimistic, tame. Cannot apply rule “amused ∧ ambitious ∧ mysterious ...
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Facts: Batman is powerful [PERIOD] Rules: mean [IMPLY] friendly [PERIOD] troubled [AND] rational [IMPLY] difficult [PERIOD] comfortable [IMPLY] powerful [PERIOD] bright [AND] troubled [AND] wide-eyed [IMPLY] mean [PERIOD] ambitious [AND] mean [IMPLY] unpleasant [PERIOD] mean [AND] unpleasant [IMPLY] precious [PERIOD] ...
Proof chain: powerful ⇒ bright powerful ∧ bright ⇒ rude powerful ⇒ bright bright ⇒ comfortable Cannot apply rule “difficult ∧ rude ∧ comfortable ⇒ hypocritical” because missing: difficult.
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Facts: Batman is curious [PERIOD] Batman is polite [PERIOD] Rules: alert [IMPLY] curious [PERIOD] inquisitive [AND] innocent [IMPLY] victorious [PERIOD] victorious [AND] inquisitive [AND] curious [IMPLY] light [PERIOD] curious [AND] clean [AND] long [IMPLY] diplomatic [PERIOD] clean [AND] inquisitive [AND] curious [IM...
Proof chain: Cannot apply rule “victorious ∧ innocent ∧ long ⇒ inquisitive” because missing: victorious, innocent, long. Cannot apply rule “victorious ∧ long ⇒ inquisitive” because missing: victorious, long. polite ⇒ glamorous glamorous ⇒ light Cannot apply rule “light ∧ long ∧ clean ⇒ inquisitive” becau...
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Facts: Batman is helpful [PERIOD] Batman is vivacious [PERIOD] Batman is shiny [PERIOD] Batman is witty [PERIOD] Rules: cooperative [AND] lonely [AND] frail [IMPLY] busy [PERIOD] straightforward [AND] clumsy [AND] supportive [IMPLY] modern [PERIOD] vivacious [IMPLY] helpless [PERIOD] fine [AND] supportive [IMPLY] outs...
Proof chain: vivacious ⇒ helpless helpless ⇒ straightforward straightforward ⇒ elegant elegant ⇒ modern vivacious ∧ modern ⇒ clumsy
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Facts: Batman is messy [PERIOD] Batman is pessimistic [PERIOD] Rules: supportive [IMPLY] stormy [PERIOD] stormy [AND] worrisome [AND] cute [IMPLY] wrong [PERIOD] supportive [IMPLY] tense [PERIOD] stormy [AND] worrisome [IMPLY] wrong [PERIOD] attentive [AND] condemned [IMPLY] messy [PERIOD] popular [AND] wandering [IMP...
Proof chain: Cannot apply rule “rational ⇒ confident” because missing: rational. messy ⇒ uptight uptight ⇒ tense tense ⇒ perfect Cannot apply rule “perfect ∧ charming ∧ embarrassed ⇒ confident” because missing: charming, embarrassed.
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Facts: Rules: courageous [AND] dull [AND] hypocritical [IMPLY] fine [PERIOD] fearless [AND] dishonest [IMPLY] dull [PERIOD] dull [AND] dishonest [AND] fine [IMPLY] innocent [PERIOD] dishonest [IMPLY] courageous [PERIOD] fine [AND] dishonest [IMPLY] innocent [PERIOD] hypocritical [AND] dishonest [IMPLY] dull [PERIOD] d...
Proof chain: Cannot apply rule “dull ∧ dishonest ∧ fine ⇒ innocent” because missing: dull, dishonest, fine. Cannot apply rule “fine ∧ dishonest ⇒ innocent” because missing: fine, dishonest. Cannot apply rule “attentive ∧ fine ∧ courageous ⇒ innocent” because missing: attentive, fine, courageous. Cannot appl...
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5
Facts: Batman is impartial [PERIOD] Rules: cute [AND] naughty [AND] scared [IMPLY] messy [PERIOD] blushing [IMPLY] messy [PERIOD] impartial [AND] thoughtless [AND] calm [IMPLY] cute [PERIOD] long [AND] sensible [IMPLY] messy [PERIOD] naughty [AND] cute [AND] thoughtless [IMPLY] calm [PERIOD] messy [AND] scared [IMPLY]...
Proof chain: Cannot apply rule “cute ∧ naughty ∧ scared ⇒ messy” because missing: cute, naughty, scared. Cannot apply rule “blushing ⇒ messy” because missing: blushing. Cannot apply rule “long ∧ sensible ⇒ messy” because missing: long, sensible. Cannot apply rule “naughty ⇒ messy” because missing: naughty. ...
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Facts: Batman is scared [PERIOD] Batman is average [PERIOD] Rules: pleasant [AND] silly [AND] mysterious [IMPLY] scared [PERIOD] mysterious [AND] silly [AND] agreeable [IMPLY] pleasant [PERIOD] distinct [AND] mysterious [AND] agreeable [IMPLY] silly [PERIOD] agreeable [AND] pleasant [AND] distinct [IMPLY] busy [PERIOD...
Proof chain: average ⇒ distinct average ⇒ agreeable agreeable ⇒ mysterious average ⇒ agreeable distinct ∧ mysterious ∧ agreeable ⇒ silly
1
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Facts: Batman is uptight [PERIOD] Rules: modern [AND] uptight [AND] frantic [IMPLY] beautiful [PERIOD] frantic [AND] modern [IMPLY] uptight [PERIOD] unpleasant [IMPLY] reserved [PERIOD] beautiful [AND] frantic [AND] unpleasant [IMPLY] modern [PERIOD] uptight [IMPLY] beautiful [PERIOD] reserved [AND] beautiful [AND] up...
Proof chain: uptight ⇒ serious Cannot apply rule “serious ∧ uptight ∧ modern ⇒ unpleasant” because missing: modern. Cannot apply rule “reserved ⇒ unpleasant” because missing: reserved. uptight ⇒ beautiful Cannot apply rule “modern ∧ beautiful ∧ reserved ⇒ unpleasant” because missing: modern, reserved.
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Facts: Batman is broad-minded [PERIOD] Rules: selfish [IMPLY] friendly [PERIOD] anxious [IMPLY] versatile [PERIOD] friendly [IMPLY] frantic [PERIOD] versatile [AND] light [AND] anxious [IMPLY] broad-minded [PERIOD] sleepy [IMPLY] dishonest [PERIOD] nervous [IMPLY] scared [PERIOD] dull [IMPLY] nervous [PERIOD] sleepy [...
Proof chain: Cannot apply rule “dull ⇒ nervous” because missing: dull. broad-minded ⇒ sleepy sleepy ⇒ dishonest broad-minded ⇒ sleepy Cannot apply rule “dishonest ∧ sleepy ∧ versatile ⇒ nervous” because missing: versatile.
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Facts: Rules: hurt [AND] spotless [AND] bossy [IMPLY] condemned [PERIOD] blushing [AND] hurt [IMPLY] pessimistic [PERIOD] condemned [AND] pessimistic [IMPLY] loving [PERIOD] hurt [IMPLY] loving [PERIOD] perfect [IMPLY] messy [PERIOD] loving [AND] blushing [AND] perfect [IMPLY] hurt [PERIOD] messy [AND] loving [AND] di...
Proof chain: Cannot apply rule “pessimistic ∧ condemned ⇒ bossy” because missing: pessimistic, condemned. Cannot apply rule “different ⇒ bossy” because missing: different. Cannot apply rule “blushing ⇒ bossy” because missing: blushing. Cannot apply rule “messy ∧ loving ⇒ bossy” because missing: messy, lovin...
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Facts: Batman is talkative [PERIOD] Batman is excited [PERIOD] Batman is helpful [PERIOD] Rules: anxious [AND] disgusted [IMPLY] polite [PERIOD] confident [IMPLY] anxious [PERIOD] stormy [IMPLY] polite [PERIOD] enchanting [IMPLY] beautiful [PERIOD] victorious [AND] helpful [AND] proud [IMPLY] confident [PERIOD] disgus...
Proof chain: talkative ∧ excited ⇒ polite polite ∧ talkative ⇒ victorious talkative ⇒ disgusted disgusted ∧ talkative ∧ helpful ⇒ proud victorious ∧ helpful ∧ proud ⇒ confident
1
5
Facts: Batman is muddy [PERIOD] Batman is troubled [PERIOD] Batman is silly [PERIOD] Rules: tame [AND] muddy [AND] long [IMPLY] scared [PERIOD] exuberant [AND] troubled [AND] vivacious [IMPLY] straightforward [PERIOD] exuberant [IMPLY] thoughtless [PERIOD] ugliest [AND] straightforward [AND] calm [IMPLY] silly [PERIOD...
Proof chain: muddy ⇒ powerful troubled ∧ powerful ⇒ ugliest silly ⇒ shy troubled ∧ shy ⇒ embarrassed ugliest ∧ muddy ∧ embarrassed ⇒ attractive
1
5
Facts: Batman is gifted [PERIOD] Batman is inexpensive [PERIOD] Batman is difficult [PERIOD] Batman is frightened [PERIOD] Batman is lonely [PERIOD] Batman is busy [PERIOD] Batman is plain [PERIOD] Batman is pessimistic [PERIOD] Batman is confused [PERIOD] Rules: gifted [IMPLY] plain [PERIOD] careless [IMPLY] old-fash...
Proof chain: difficult ⇒ impartial difficult ⇒ glamorous impartial ∧ glamorous ⇒ careless busy ⇒ cruel plain ∧ careless ∧ cruel ⇒ alert
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Facts: Batman is polite [PERIOD] Rules: sincere [IMPLY] silly [PERIOD] innocent [AND] amused [AND] embarrassed [IMPLY] vivacious [PERIOD] pessimistic [AND] frightened [IMPLY] loving [PERIOD] vivacious [IMPLY] attractive [PERIOD] plain [AND] horrible [AND] polite [IMPLY] spotless [PERIOD] cooperative [AND] innocent [AN...
Proof chain: polite ⇒ different different ⇒ tender tender ⇒ loving loving ⇒ quaint quaint ⇒ attractive
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Facts: Batman is disobedient [PERIOD] Batman is tired [PERIOD] Batman is attentive [PERIOD] Rules: disobedient [AND] tense [IMPLY] adorable [PERIOD] tense [AND] bored [AND] tired [IMPLY] attentive [PERIOD] thoughtless [AND] adorable [AND] bored [IMPLY] tense [PERIOD] bored [AND] tense [IMPLY] tired [PERIOD] thoughtles...
Proof chain: tired ⇒ adorable adorable ∧ tired ⇒ thoughtless tired ⇒ adorable tired ∧ attentive ⇒ bored thoughtless ∧ adorable ∧ bored ⇒ tense
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Facts: Batman is pleasant [PERIOD] Batman is talkative [PERIOD] Batman is disgusted [PERIOD] Batman is busy [PERIOD] Rules: vivacious [AND] pleasant [IMPLY] busy [PERIOD] busy [IMPLY] versatile [PERIOD] busy [IMPLY] homely [PERIOD] naughty [AND] homely [AND] busy [IMPLY] pleasant [PERIOD] versatile [AND] disgusted [AN...
Proof chain: pleasant ⇒ combative busy ⇒ homely combative ∧ disgusted ∧ homely ⇒ blushing pleasant ⇒ combative blushing ∧ talkative ∧ combative ⇒ naughty
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Facts: Batman is zealous [PERIOD] Batman is dull [PERIOD] Batman is tame [PERIOD] Batman is selfish [PERIOD] Rules: adorable [AND] tame [AND] supportive [IMPLY] average [PERIOD] attractive [AND] powerful [AND] average [IMPLY] supportive [PERIOD] calm [AND] attractive [IMPLY] sleepy [PERIOD] fine [IMPLY] powerful [PERI...
Proof chain: selfish ⇒ frantic dull ⇒ average zealous ∧ tame ⇒ fine zealous ∧ fine ⇒ calm frantic ∧ average ∧ calm ⇒ outstanding
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Facts: Batman is bright [PERIOD] Batman is perfect [PERIOD] Rules: hilarious [AND] impartial [IMPLY] versatile [PERIOD] tender [IMPLY] inquisitive [PERIOD] hilarious [AND] perfect [IMPLY] tender [PERIOD] impartial [AND] perfect [AND] good [IMPLY] amused [PERIOD] straightforward [AND] inquisitive [AND] hilarious [IMPLY...
Proof chain: Cannot apply rule “straightforward ∧ inquisitive ∧ hilarious ⇒ vivacious” because missing: straightforward, inquisitive, hilarious. Cannot apply rule “tender ∧ impartial ∧ versatile ⇒ vivacious” because missing: tender, impartial, versatile. Cannot apply rule “stubborn ∧ aggressive ⇒ vivacious” be...
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5
Facts: Batman is friendly [PERIOD] Batman is hurt [PERIOD] Rules: innocent [AND] worried [IMPLY] hurt [PERIOD] friendly [AND] hurt [AND] worried [IMPLY] fine [PERIOD] fine [AND] worried [IMPLY] innocent [PERIOD] hurt [AND] worried [AND] friendly [IMPLY] innocent [PERIOD] friendly [IMPLY] fine [PERIOD] fine [AND] hurt ...
Proof chain: friendly ⇒ fine Cannot apply rule “fine ∧ worried ⇒ innocent” because missing: worried. Cannot apply rule “hurt ∧ worried ∧ friendly ⇒ innocent” because missing: worried. friendly ⇒ fine Cannot apply rule “fine ∧ hurt ∧ worried ⇒ innocent” because missing: worried.
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Facts: Rules: selfish [AND] frail [AND] powerful [IMPLY] loving [PERIOD] elegant [IMPLY] muddy [PERIOD] selfish [AND] frail [AND] curious [IMPLY] powerful [PERIOD] loving [AND] muddy [AND] hilarious [IMPLY] selfish [PERIOD] curious [IMPLY] elegant [PERIOD] loving [AND] hilarious [IMPLY] selfish [PERIOD] frail [AND] po...
Proof chain: Cannot apply rule “selfish ∧ frail ∧ powerful ⇒ loving” because missing: selfish, frail, powerful. Cannot apply rule “muddy ⇒ loving” because missing: muddy. Cannot apply rule “curious ∧ powerful ∧ frail ⇒ loving” because missing: curious, powerful, frail. Cannot apply rule “elegant ∧ muddy ∧ p...
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Facts: Batman is famous [PERIOD] Batman is enchanting [PERIOD] Batman is scared [PERIOD] Batman is amused [PERIOD] Batman is stubborn [PERIOD] Rules: easy [IMPLY] inexpensive [PERIOD] anxious [AND] foolish [IMPLY] amused [PERIOD] enchanting [IMPLY] victorious [PERIOD] anxious [AND] inexpensive [AND] stubborn [IMPLY] v...
Proof chain: famous ⇒ foolish enchanting ⇒ easy foolish ∧ easy ⇒ bored enchanting ⇒ frantic bored ∧ frantic ⇒ attractive
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Facts: Batman is tired [PERIOD] Rules: tired [IMPLY] shiny [PERIOD] fancy [AND] rational [AND] thoughtless [IMPLY] tired [PERIOD] charming [IMPLY] fancy [PERIOD] fancy [IMPLY] crowded [PERIOD] crowded [AND] rational [AND] thoughtless [IMPLY] tired [PERIOD] tired [AND] crowded [IMPLY] thoughtless [PERIOD] tired [AND] v...
Proof chain: tired ⇒ thoughtless tired ⇒ thoughtless thoughtless ⇒ crowded thoughtless ∧ crowded ⇒ tame tame ⇒ charming
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Facts: Batman is modern [PERIOD] Batman is talented [PERIOD] Batman is weary [PERIOD] Batman is muddy [PERIOD] Batman is attentive [PERIOD] Rules: rational [AND] weary [IMPLY] talented [PERIOD] wandering [AND] disgusted [IMPLY] unpleasant [PERIOD] talented [IMPLY] smart [PERIOD] disgusted [AND] unpleasant [IMPLY] poli...
Proof chain: talented ⇒ smart attentive ∧ smart ⇒ aggressive muddy ⇒ straightforward straightforward ⇒ wandering aggressive ∧ wandering ⇒ rational
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Facts: Batman is witty [PERIOD] Batman is messy [PERIOD] Rules: fancy [AND] witty [IMPLY] fine [PERIOD] bright [AND] talented [AND] polite [IMPLY] fine [PERIOD] fine [AND] polite [AND] witty [IMPLY] messy [PERIOD] ugly [IMPLY] fancy [PERIOD] dishonest [AND] ugly [IMPLY] witty [PERIOD] talented [AND] polite [IMPLY] dis...
Proof chain: witty ⇒ fine Cannot apply rule “talented ∧ fine ⇒ ugly” because missing: talented. witty ⇒ fine Cannot apply rule “bright ∧ fine ∧ polite ⇒ ugly” because missing: bright, polite. Cannot apply rule “dishonest ⇒ ugly” because missing: dishonest.
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Facts: Batman is worried [PERIOD] Batman is helpful [PERIOD] Batman is disgusted [PERIOD] Batman is straightforward [PERIOD] Rules: inquisitive [AND] helpful [IMPLY] wide-eyed [PERIOD] nervous [AND] inquisitive [IMPLY] homely [PERIOD] wrong [IMPLY] wide-eyed [PERIOD] agreeable [IMPLY] broad-minded [PERIOD] homely [AND...
Proof chain: worried ∧ helpful ⇒ agreeable agreeable ⇒ broad-minded disgusted ∧ broad-minded ⇒ wrong wrong ⇒ wide-eyed wide-eyed ⇒ tame
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Facts: Batman is shy [PERIOD] Batman is wrong [PERIOD] Batman is crowded [PERIOD] Rules: wrong [AND] worried [IMPLY] crowded [PERIOD] impatient [IMPLY] worried [PERIOD] impatient [AND] proud [IMPLY] shy [PERIOD] wrong [AND] worried [AND] good [IMPLY] tender [PERIOD] precious [AND] worried [IMPLY] wrong [PERIOD] crowde...
Proof chain: crowded ∧ wrong ⇒ innocent innocent ⇒ proud wrong ∧ crowded ∧ proud ⇒ impatient crowded ∧ wrong ⇒ innocent impatient ∧ innocent ⇒ precious
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Facts: Batman is old-fashioned [PERIOD] Batman is wide-eyed [PERIOD] Batman is courageous [PERIOD] Rules: mean [IMPLY] excited [PERIOD] ambitious [AND] wide-eyed [IMPLY] mean [PERIOD] reserved [IMPLY] outrageous [PERIOD] excited [AND] pessimistic [AND] tired [IMPLY] sensible [PERIOD] comfortable [AND] tired [IMPLY] st...
Proof chain: courageous ∧ wide-eyed ⇒ impartial old-fashioned ∧ courageous ⇒ agreeable agreeable ⇒ tired tired ⇒ gorgeous impartial ∧ old-fashioned ∧ gorgeous ⇒ fragile
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Facts: Rules: reserved [AND] bossy [IMPLY] enchanting [PERIOD] bossy [AND] long [IMPLY] inexpensive [PERIOD] elated [AND] tired [IMPLY] exuberant [PERIOD] reserved [AND] careless [IMPLY] dishonest [PERIOD] hypocritical [AND] sleepy [AND] enchanting [IMPLY] bossy [PERIOD] hypocritical [IMPLY] outstanding [PERIOD] encha...
Proof chain: Cannot apply rule “elated ⇒ jittery” because missing: elated. Cannot apply rule “attentive ⇒ jittery” because missing: attentive. Cannot apply rule “attentive ∧ inexpensive ⇒ jittery” because missing: attentive, inexpensive. Cannot apply rule “enchanting ∧ hurt ∧ tender ⇒ jittery” because missi...
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Facts: Batman is sleepy [PERIOD] Batman is bad-tempered [PERIOD] Rules: popular [IMPLY] exuberant [PERIOD] fancy [AND] ugly [AND] perfect [IMPLY] exuberant [PERIOD] bad-tempered [AND] light [AND] scared [IMPLY] clean [PERIOD] good [IMPLY] perfect [PERIOD] curious [AND] perfect [AND] sleepy [IMPLY] clean [PERIOD] popul...
Proof chain: bad-tempered ⇒ curious curious ⇒ good bad-tempered ⇒ curious curious ⇒ zealous good ∧ zealous ⇒ fancy
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Facts: Batman is selfish [PERIOD] Batman is spotless [PERIOD] Batman is stubborn [PERIOD] Batman is scared [PERIOD] Rules: sensible [AND] cute [AND] spotless [IMPLY] messy [PERIOD] selfish [AND] enchanting [IMPLY] hilarious [PERIOD] ambitious [AND] worrisome [AND] helpful [IMPLY] mysterious [PERIOD] anxious [AND] thou...
Proof chain: spotless ⇒ helpful helpful ⇒ wide-eyed selfish ∧ stubborn ∧ wide-eyed ⇒ enchanting selfish ∧ enchanting ⇒ hilarious hilarious ⇒ calm
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Facts: Batman is clumsy [PERIOD] Batman is elated [PERIOD] Batman is disobedient [PERIOD] Batman is tidy [PERIOD] Batman is alert [PERIOD] Batman is proud [PERIOD] Batman is wide-eyed [PERIOD] Rules: victorious [AND] clumsy [AND] intellectual [IMPLY] selfish [PERIOD] selfish [AND] good [AND] joyous [IMPLY] crowded [PE...
Proof chain: alert ⇒ victorious alert ⇒ victorious clumsy ⇒ lonely victorious ∧ lonely ⇒ comfortable clumsy ∧ victorious ∧ comfortable ⇒ powerful
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Facts: Batman is thoughtless [PERIOD] Rules: thoughtless [IMPLY] wrong [PERIOD] excited [AND] stupid [AND] impatient [IMPLY] wrong [PERIOD] confident [AND] broad-minded [IMPLY] calm [PERIOD] troubled [IMPLY] thoughtless [PERIOD] stupid [IMPLY] calm [PERIOD] nervous [AND] excited [IMPLY] broad-minded [PERIOD] combative...
Proof chain: thoughtless ⇒ wrong wrong ⇒ calm thoughtless ⇒ wrong calm ∧ wrong ⇒ enchanting enchanting ⇒ combative
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Facts: Rules: helpful [AND] outrageous [IMPLY] homely [PERIOD] courageous [AND] ugliest [IMPLY] wrong [PERIOD] precious [AND] clean [IMPLY] worrisome [PERIOD] bossy [AND] messy [IMPLY] anxious [PERIOD] messy [AND] bossy [IMPLY] strange [PERIOD] messy [AND] wrong [IMPLY] helpless [PERIOD] courageous [AND] thoughtless [...
Proof chain: Cannot apply rule “ugliest ∧ anxious ⇒ vivacious” because missing: ugliest, anxious. Cannot apply rule “ugliest ⇒ vivacious” because missing: ugliest. Cannot apply rule “courageous ⇒ vivacious” because missing: courageous. Cannot apply rule “helpful ∧ helpless ⇒ vivacious” because missing: help...
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5
Facts: Batman is gleaming [PERIOD] Batman is agreeable [PERIOD] Batman is long [PERIOD] Batman is embarrassed [PERIOD] Batman is intellectual [PERIOD] Batman is thoughtful [PERIOD] Rules: amused [AND] diplomatic [IMPLY] agreeable [PERIOD] amused [AND] diplomatic [AND] stormy [IMPLY] sensible [PERIOD] gleaming [IMPLY] ...
Proof chain: Cannot apply rule “gorgeous ⇒ hurt” because missing: gorgeous. embarrassed ⇒ stormy stormy ⇒ diplomatic embarrassed ⇒ stormy Cannot apply rule “elated ∧ diplomatic ∧ stormy ⇒ hurt” because missing: elated.
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Facts: Batman is talkative [PERIOD] Batman is stupid [PERIOD] Batman is average [PERIOD] Batman is elated [PERIOD] Batman is alert [PERIOD] Rules: shiny [AND] bored [AND] courageous [IMPLY] talented [PERIOD] bored [AND] gifted [AND] cooperative [IMPLY] hilarious [PERIOD] gifted [AND] weary [AND] talkative [IMPLY] elat...
Proof chain: elated ⇒ lonely alert ⇒ bored lonely ∧ bored ⇒ difficult difficult ⇒ reserved reserved ⇒ courageous
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Facts: Rules: elegant [AND] tender [AND] combative [IMPLY] dull [PERIOD] sensible [AND] elegant [IMPLY] hurt [PERIOD] dull [AND] hurt [AND] combative [IMPLY] sensible [PERIOD] combative [AND] sensible [AND] tender [IMPLY] elegant [PERIOD] elegant [AND] average [IMPLY] stormy [PERIOD] combative [AND] tender [AND] dull ...
Proof chain: Cannot apply rule “dull ∧ hurt ∧ combative ⇒ sensible” because missing: dull, hurt, combative. Cannot apply rule “elegant ⇒ sensible” because missing: elegant. Cannot apply rule “combative ∧ elegant ∧ dull ⇒ sensible” because missing: combative, elegant, dull. Cannot apply rule “hurt ∧ tender ⇒...
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5
Facts: Batman is messy [PERIOD] Batman is agreeable [PERIOD] Rules: jittery [AND] gorgeous [IMPLY] weary [PERIOD] tender [AND] messy [AND] distinct [IMPLY] stubborn [PERIOD] smart [AND] tender [AND] agreeable [IMPLY] inquisitive [PERIOD] stupid [AND] jittery [AND] clumsy [IMPLY] courageous [PERIOD] smart [AND] stubbor...
Proof chain: Cannot apply rule “jittery ∧ gorgeous ⇒ weary” because missing: jittery, gorgeous. Cannot apply rule “friendly ∧ tender ⇒ weary” because missing: friendly, tender. Cannot apply rule “clumsy ⇒ weary” because missing: clumsy. Cannot apply rule “smart ∧ agreeable ⇒ weary” because missing: smart. ...
0
5
Facts: Batman is zealous [PERIOD] Batman is mean [PERIOD] Batman is quaint [PERIOD] Rules: witty [AND] shiny [AND] proud [IMPLY] mean [PERIOD] lucky [AND] troubled [IMPLY] quaint [PERIOD] witty [AND] pleasant [AND] disgusted [IMPLY] helpful [PERIOD] inexpensive [AND] helpful [IMPLY] talented [PERIOD] attentive [IMPLY]...
Proof chain: quaint ⇒ troubled mean ⇒ pleasant mean ⇒ pleasant pleasant ⇒ attentive troubled ∧ pleasant ∧ attentive ⇒ shiny
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Facts: Batman is confused [PERIOD] Batman is impartial [PERIOD] Batman is perfect [PERIOD] Batman is blushing [PERIOD] Batman is clean [PERIOD] Rules: quaint [AND] agreeable [AND] dishonest [IMPLY] bossy [PERIOD] bossy [AND] courageous [AND] worrisome [IMPLY] blushing [PERIOD] bossy [AND] quaint [AND] fearless [IMPLY]...
Proof chain: perfect ∧ confused ⇒ gleaming gleaming ∧ perfect ⇒ fearless impartial ⇒ ambitious ambitious ∧ blushing ∧ perfect ⇒ agreeable blushing ∧ fearless ∧ agreeable ⇒ quaint
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Facts: Rules: talented [AND] nervous [IMPLY] embarrassed [PERIOD] frightened [IMPLY] embarrassed [PERIOD] shy [AND] frightened [AND] embarrassed [IMPLY] nervous [PERIOD] talented [IMPLY] nervous [PERIOD] nervous [AND] embarrassed [AND] shy [IMPLY] talented [PERIOD] nervous [IMPLY] foolish [PERIOD] talented [IMPLY] fri...
Proof chain: Cannot apply rule “talented ⇒ frightened” because missing: talented. Cannot apply rule “shy ∧ embarrassed ⇒ frightened” because missing: shy, embarrassed. Cannot apply rule “talented ∧ shy ⇒ frightened” because missing: talented, shy. Cannot apply rule “shy ⇒ frightened” because missing: shy. ...
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Facts: Rules: stupid [AND] thoughtless [AND] inexpensive [IMPLY] agreeable [PERIOD] distinct [AND] thoughtless [AND] stupid [IMPLY] outstanding [PERIOD] attentive [IMPLY] agreeable [PERIOD] dishonest [IMPLY] outstanding [PERIOD] combative [AND] dishonest [AND] inexpensive [IMPLY] thoughtless [PERIOD] thoughtless [AND]...
Proof chain: Cannot apply rule “distinct ∧ thoughtless ∧ stupid ⇒ outstanding” because missing: distinct, thoughtless, stupid. Cannot apply rule “dishonest ⇒ outstanding” because missing: dishonest. Cannot apply rule “frightened ⇒ outstanding” because missing: frightened. Cannot apply rule “attentive ⇒ outs...
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Facts: Batman is naughty [PERIOD] Rules: easy [AND] naughty [AND] tender [IMPLY] clean [PERIOD] bossy [AND] horrible [IMPLY] supportive [PERIOD] clean [AND] bossy [AND] supportive [IMPLY] worrisome [PERIOD] supportive [IMPLY] straightforward [PERIOD] troubled [AND] clean [AND] easy [IMPLY] supportive [PERIOD] charming...
Proof chain: Cannot apply rule “clean ∧ bossy ∧ supportive ⇒ worrisome” because missing: clean, bossy, supportive. Cannot apply rule “naughty ∧ easy ⇒ worrisome” because missing: easy. Cannot apply rule “troubled ⇒ worrisome” because missing: troubled. Cannot apply rule “easy ∧ straightforward ⇒ worrisome” ...
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Facts: Rules: dishonest [IMPLY] vivacious [PERIOD] tender [AND] gifted [IMPLY] helpless [PERIOD] hilarious [AND] clumsy [AND] thoughtless [IMPLY] jittery [PERIOD] thoughtless [AND] helpless [IMPLY] precious [PERIOD] beautiful [IMPLY] proud [PERIOD] dishonest [AND] impartial [AND] tender [IMPLY] clumsy [PERIOD] hilario...
Proof chain: Cannot apply rule “comfortable ∧ impartial ∧ thoughtless ⇒ hilarious” because missing: comfortable, impartial, thoughtless. Cannot apply rule “agreeable ⇒ hilarious” because missing: agreeable. Cannot apply rule “confident ∧ agreeable ∧ strange ⇒ hilarious” because missing: confident, agreeable, s...
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Facts: Batman is popular [PERIOD] Batman is wrong [PERIOD] Rules: outstanding [AND] cruel [AND] dishonest [IMPLY] fine [PERIOD] straightforward [IMPLY] wrong [PERIOD] thoughtful [IMPLY] rational [PERIOD] dishonest [AND] rational [IMPLY] good [PERIOD] wrong [AND] popular [IMPLY] strange [PERIOD] cruel [AND] confused [I...
Proof chain: wrong ∧ popular ⇒ strange strange ⇒ gorgeous popular ⇒ friendly gorgeous ∧ friendly ⇒ thoughtful thoughtful ⇒ rational
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Facts: Batman is hilarious [PERIOD] Batman is jittery [PERIOD] Batman is sleepy [PERIOD] Batman is shy [PERIOD] Batman is charming [PERIOD] Batman is wide-eyed [PERIOD] Rules: frantic [AND] polite [IMPLY] wide-eyed [PERIOD] shy [IMPLY] nervous [PERIOD] charming [AND] old-fashioned [IMPLY] jittery [PERIOD] bossy [AND] ...
Proof chain: shy ⇒ nervous jittery ⇒ old-fashioned nervous ∧ old-fashioned ∧ hilarious ⇒ average average ⇒ impatient jittery ∧ impatient ⇒ glamorous
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Facts: Batman is bossy [PERIOD] Rules: mean [AND] strange [AND] talented [IMPLY] amused [PERIOD] naughty [AND] mean [AND] nervous [IMPLY] bad-tempered [PERIOD] confused [AND] spotless [AND] adorable [IMPLY] crowded [PERIOD] bad-tempered [AND] calm [IMPLY] bossy [PERIOD] talented [AND] average [AND] bossy [IMPLY] calm ...
Proof chain: Cannot apply rule “talented ∧ average ∧ bossy ⇒ calm” because missing: talented, average. Cannot apply rule “spotless ∧ naughty ⇒ calm” because missing: spotless, naughty. Cannot apply rule “adorable ∧ bossy ∧ average ⇒ calm” because missing: adorable, average. Cannot apply rule “silly ∧ excite...
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