Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is blushing [PERIOD] Batman is aggressive [PERIOD] Rules: lucky [AND] popular [IMPLY] calm [PERIOD] disgusted [AND] naughty [IMPLY] bad-tempered [PERIOD] bad-tempered [AND] frantic [IMPLY] blushing [PERIOD] aggressive [IMPLY] outrageous [PERIOD] serious [AND] frantic [IMPLY] fancy [PERIOD] aggressive [AN...
Proof chain: aggressive ⇒ outrageous outrageous ⇒ frightened frightened ⇒ fancy Cannot apply rule “tired ∧ fancy ⇒ frantic” because missing: tired. Cannot apply rule “blushing ∧ cooperative ∧ famous ⇒ frantic” because missing: cooperative, famous. Cannot apply rule “aggressive ∧ famous ⇒ frantic” beca...
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9
Facts: Batman is popular [PERIOD] Batman is inexpensive [PERIOD] Rules: stupid [AND] popular [IMPLY] powerful [PERIOD] talented [AND] sensible [AND] stupid [IMPLY] dishonest [PERIOD] powerful [AND] talkative [IMPLY] combative [PERIOD] combative [AND] dishonest [IMPLY] lonely [PERIOD] popular [IMPLY] powerful [PERIOD] ...
Proof chain: popular ⇒ powerful Cannot apply rule “powerful ∧ talkative ⇒ combative” because missing: talkative. popular ⇒ powerful powerful ⇒ dishonest Cannot apply rule “dishonest ∧ talkative ∧ sensible ⇒ combative” because missing: talkative, sensible. popular ⇒ talented Cannot apply rule “lonel...
0
9
Facts: Batman is fearless [PERIOD] Batman is tidy [PERIOD] Batman is worrisome [PERIOD] Batman is witty [PERIOD] Batman is smart [PERIOD] Batman is comfortable [PERIOD] Batman is tense [PERIOD] Batman is muddy [PERIOD] Batman is talented [PERIOD] Batman is versatile [PERIOD] Batman is sensible [PERIOD] Batman is attra...
Proof chain: witty ∧ tidy ⇒ pessimistic muddy ∧ pessimistic ⇒ lonely witty ∧ tidy ⇒ pessimistic muddy ∧ pessimistic ⇒ lonely worrisome ∧ lonely ⇒ stubborn attractive ∧ witty ⇒ bright bright ⇒ perfect stubborn ∧ perfect ⇒ aggressive lonely ∧ comfortable ∧ aggressive ⇒ elegant
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Facts: Batman is gifted [PERIOD] Batman is precious [PERIOD] Batman is long [PERIOD] Batman is selfish [PERIOD] Batman is aggressive [PERIOD] Batman is gorgeous [PERIOD] Batman is clean [PERIOD] Rules: famous [AND] mean [IMPLY] long [PERIOD] inexpensive [AND] lucky [AND] sincere [IMPLY] adorable [PERIOD] elated [AND] ...
Proof chain: Cannot apply rule “anxious ∧ gifted ⇒ victorious” because missing: anxious. gifted ⇒ ambitious clean ∧ aggressive ∧ ambitious ⇒ beautiful beautiful ⇒ glamorous Cannot apply rule “glamorous ∧ weary ∧ impatient ⇒ victorious” because missing: weary, impatient. gifted ⇒ ambitious clean ∧ a...
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9
Facts: Batman is strange [PERIOD] Batman is bored [PERIOD] Rules: scared [AND] stubborn [AND] helpless [IMPLY] lucky [PERIOD] lucky [AND] adorable [AND] impartial [IMPLY] elegant [PERIOD] anxious [AND] bossy [AND] fine [IMPLY] helpless [PERIOD] silly [IMPLY] strange [PERIOD] stubborn [AND] adorable [IMPLY] elegant [PE...
Proof chain: strange ⇒ impartial bored ⇒ elegant impartial ∧ elegant ⇒ cruel Cannot apply rule “cruel ∧ thoughtful ∧ bored ⇒ inexpensive” because missing: thoughtful. strange ⇒ impartial strange ⇒ impartial bored ⇒ elegant impartial ∧ elegant ⇒ cruel Cannot apply rule “impartial ∧ thoughtful ...
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9
Facts: Batman is inexpensive [PERIOD] Rules: troubled [IMPLY] precious [PERIOD] old-fashioned [IMPLY] bored [PERIOD] messy [IMPLY] bored [PERIOD] troubled [AND] bored [IMPLY] wide-eyed [PERIOD] old-fashioned [AND] homely [IMPLY] troubled [PERIOD] smart [AND] troubled [AND] messy [IMPLY] bossy [PERIOD] frantic [IMPLY] ...
Proof chain: inexpensive ⇒ old-fashioned old-fashioned ⇒ bored Cannot apply rule “troubled ∧ bored ⇒ wide-eyed” because missing: troubled. Cannot apply rule “careless ⇒ wide-eyed” because missing: careless. Cannot apply rule “troubled ⇒ wide-eyed” because missing: troubled. Cannot apply rule “popular ...
0
9
Facts: Batman is disgusted [PERIOD] Batman is stupid [PERIOD] Batman is agreeable [PERIOD] Batman is ugly [PERIOD] Batman is hypocritical [PERIOD] Batman is average [PERIOD] Batman is diplomatic [PERIOD] Batman is courageous [PERIOD] Rules: confused [AND] wide-eyed [AND] stupid [IMPLY] exuberant [PERIOD] stupid [AND] ...
Proof chain: agreeable ⇒ elated elated ⇒ inquisitive hypocritical ∧ diplomatic ⇒ wide-eyed courageous ⇒ tired disgusted ⇒ famous average ⇒ charming tired ∧ famous ∧ charming ⇒ distinct distinct ∧ hypocritical ⇒ frantic inquisitive ∧ wide-eyed ∧ frantic ⇒ plain
1
9
Facts: Batman is wandering [PERIOD] Batman is disobedient [PERIOD] Rules: cute [IMPLY] joyous [PERIOD] friendly [AND] dull [AND] wandering [IMPLY] cute [PERIOD] cute [AND] careless [AND] loving [IMPLY] joyous [PERIOD] careless [AND] friendly [AND] disobedient [IMPLY] cute [PERIOD] wandering [IMPLY] loving [PERIOD] wro...
Proof chain: wandering ⇒ loving wandering ⇒ dull loving ∧ dull ∧ wandering ⇒ careless careless ⇒ frightened wandering ⇒ loving wandering ⇒ dull frightened ∧ loving ∧ dull ⇒ joyous wandering ⇒ loving joyous ∧ wandering ∧ loving ⇒ cute
1
9
Facts: Batman is perfect [PERIOD] Batman is dishonest [PERIOD] Batman is calm [PERIOD] Rules: fearless [AND] naughty [IMPLY] careless [PERIOD] calm [AND] perfect [IMPLY] condemned [PERIOD] long [AND] fearless [IMPLY] condemned [PERIOD] fearless [AND] condemned [AND] dishonest [IMPLY] sensible [PERIOD] dishonest [AND] ...
Proof chain: calm ∧ perfect ⇒ condemned calm ⇒ sensible condemned ∧ sensible ⇒ fearless fearless ⇒ naughty calm ⇒ sensible calm ∧ perfect ⇒ condemned calm ⇒ sensible condemned ∧ sensible ⇒ fearless naughty ∧ sensible ∧ fearless ⇒ long
1
9
Facts: Batman is excited [PERIOD] Batman is bad-tempered [PERIOD] Batman is fine [PERIOD] Rules: rational [IMPLY] bad-tempered [PERIOD] innocent [AND] average [AND] selfish [IMPLY] wide-eyed [PERIOD] wide-eyed [AND] innocent [IMPLY] crowded [PERIOD] pleasant [AND] bad-tempered [IMPLY] helpful [PERIOD] average [AND] in...
Proof chain: fine ⇒ wide-eyed fine ⇒ rational fine ⇒ rational fine ⇒ wide-eyed wide-eyed ⇒ selfish rational ∧ selfish ∧ fine ⇒ pessimistic rational ∧ pessimistic ⇒ exuberant exuberant ⇒ innocent wide-eyed ∧ innocent ⇒ crowded
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9
Facts: Batman is attractive [PERIOD] Batman is lonely [PERIOD] Batman is zealous [PERIOD] Rules: adorable [IMPLY] ambitious [PERIOD] wandering [IMPLY] blushing [PERIOD] average [AND] lonely [AND] loving [IMPLY] adorable [PERIOD] cruel [IMPLY] good [PERIOD] loving [AND] lonely [IMPLY] confused [PERIOD] adorable [IMPLY]...
Proof chain: Cannot apply rule “cruel ⇒ good” because missing: cruel. attractive ⇒ bright Cannot apply rule “bright ∧ confused ∧ cruel ⇒ good” because missing: confused, cruel. Cannot apply rule “ambitious ∧ wandering ∧ confused ⇒ good” because missing: ambitious, wandering, confused. Cannot apply rule “...
0
9
Facts: Batman is grumpy [PERIOD] Batman is worrisome [PERIOD] Batman is dull [PERIOD] Batman is talented [PERIOD] Batman is easy [PERIOD] Batman is rational [PERIOD] Batman is strange [PERIOD] Rules: old-fashioned [AND] pessimistic [AND] fine [IMPLY] jittery [PERIOD] pessimistic [AND] combative [IMPLY] worrisome [PERI...
Proof chain: dull ⇒ stormy worrisome ∧ strange ⇒ charming easy ∧ charming ∧ rational ⇒ combative combative ⇒ tense dull ⇒ broad-minded tense ∧ broad-minded ⇒ smart grumpy ∧ smart ⇒ inexpensive stormy ∧ inexpensive ⇒ old-fashioned grumpy ∧ old-fashioned ⇒ rude
1
9
Facts: Batman is victorious [PERIOD] Batman is broad-minded [PERIOD] Batman is plain [PERIOD] Batman is friendly [PERIOD] Batman is disobedient [PERIOD] Batman is modern [PERIOD] Batman is cute [PERIOD] Batman is weary [PERIOD] Rules: foolish [IMPLY] cute [PERIOD] innocent [AND] agreeable [AND] foolish [IMPLY] broad-m...
Proof chain: friendly ⇒ foolish friendly ⇒ strange foolish ∧ strange ⇒ frightened friendly ⇒ strange disobedient ∧ victorious ⇒ diplomatic strange ∧ diplomatic ⇒ innocent disobedient ⇒ tense cute ∧ innocent ∧ tense ⇒ spotless frightened ∧ spotless ⇒ tender
1
9
Facts: Batman is impatient [PERIOD] Batman is gleaming [PERIOD] Rules: stubborn [IMPLY] gleaming [PERIOD] stubborn [AND] distinct [IMPLY] gleaming [PERIOD] impatient [AND] frightened [AND] distinct [IMPLY] disgusted [PERIOD] wandering [AND] disgusted [IMPLY] gleaming [PERIOD] wide-eyed [AND] comfortable [AND] wanderin...
Proof chain: impatient ⇒ stubborn impatient ⇒ stubborn stubborn ⇒ disgusted disgusted ⇒ strange impatient ⇒ stubborn stubborn ⇒ distinct gleaming ⇒ wandering distinct ∧ wandering ⇒ sensible stubborn ∧ strange ∧ sensible ⇒ comfortable
1
9
Facts: Batman is fancy [PERIOD] Batman is muddy [PERIOD] Batman is tender [PERIOD] Batman is worried [PERIOD] Rules: attentive [IMPLY] worried [PERIOD] strange [AND] bad-tempered [IMPLY] clumsy [PERIOD] reserved [IMPLY] nervous [PERIOD] attentive [AND] muddy [IMPLY] pleasant [PERIOD] bad-tempered [AND] nervous [IMPLY]...
Proof chain: worried ∧ tender ⇒ bored fancy ⇒ strange muddy ∧ strange ⇒ clumsy clumsy ⇒ proud fancy ⇒ strange muddy ∧ strange ⇒ clumsy proud ∧ worried ∧ clumsy ⇒ attentive attentive ∧ muddy ⇒ pleasant bored ∧ tender ∧ pleasant ⇒ jittery
1
9
Facts: Batman is rational [PERIOD] Batman is excited [PERIOD] Batman is careless [PERIOD] Rules: gifted [IMPLY] careless [PERIOD] cooperative [AND] sincere [IMPLY] sensible [PERIOD] cooperative [IMPLY] gifted [PERIOD] sincere [AND] gifted [AND] excited [IMPLY] horrible [PERIOD] horrible [AND] difficult [AND] bad-tempe...
Proof chain: Cannot apply rule “cooperative ∧ sincere ⇒ sensible” because missing: cooperative, sincere. excited ⇒ cute Cannot apply rule “gifted ∧ cute ∧ rational ⇒ sensible” because missing: gifted. Cannot apply rule “quaint ∧ cooperative ∧ horrible ⇒ sensible” because missing: quaint, cooperative, horrib...
0
9
Facts: Batman is fine [PERIOD] Rules: calm [IMPLY] combative [PERIOD] calm [AND] smart [AND] troubled [IMPLY] weary [PERIOD] combative [AND] straightforward [AND] weary [IMPLY] horrible [PERIOD] straightforward [IMPLY] disobedient [PERIOD] straightforward [IMPLY] easy [PERIOD] smart [AND] weary [IMPLY] horrible [PERIO...
Proof chain: fine ⇒ calm fine ⇒ calm fine ⇒ calm calm ⇒ combative combative ⇒ smart fine ⇒ troubled calm ∧ smart ∧ troubled ⇒ weary weary ⇒ witty calm ∧ witty ⇒ loving
1
9
Facts: Batman is long [PERIOD] Batman is smart [PERIOD] Batman is plain [PERIOD] Rules: tame [AND] frightened [AND] amused [IMPLY] diplomatic [PERIOD] witty [AND] gleaming [AND] bright [IMPLY] uptight [PERIOD] agreeable [AND] fragile [AND] uptight [IMPLY] gleaming [PERIOD] embarrassed [AND] worrisome [AND] tired [IMPL...
Proof chain: plain ⇒ combative combative ⇒ tired tired ⇒ amused Cannot apply rule “amused ∧ bright ⇒ frightened” because missing: bright. plain ⇒ combative plain ⇒ combative combative ⇒ tired tired ⇒ amused Cannot apply rule “combative ∧ tender ∧ amused ⇒ frightened” because missing: tender.
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9
Facts: Rules: glamorous [AND] tidy [IMPLY] bossy [PERIOD] dishonest [IMPLY] bossy [PERIOD] horrible [AND] shiny [IMPLY] glamorous [PERIOD] dishonest [AND] horrible [AND] strange [IMPLY] bossy [PERIOD] glamorous [AND] horrible [AND] strange [IMPLY] shiny [PERIOD] strange [AND] helpless [IMPLY] bossy [PERIOD] strange [A...
Proof chain: Cannot apply rule “glamorous ∧ tidy ⇒ bossy” because missing: glamorous, tidy. Cannot apply rule “dishonest ⇒ bossy” because missing: dishonest. Cannot apply rule “dishonest ∧ horrible ∧ strange ⇒ bossy” because missing: dishonest, horrible, strange. Cannot apply rule “strange ∧ helpless ⇒ boss...
0
9
Facts: Batman is outstanding [PERIOD] Batman is pleasant [PERIOD] Rules: hurt [IMPLY] tender [PERIOD] versatile [AND] nervous [IMPLY] cute [PERIOD] hurt [IMPLY] strange [PERIOD] versatile [AND] impartial [AND] bright [IMPLY] nervous [PERIOD] good [AND] hurt [IMPLY] blushing [PERIOD] zealous [AND] lonely [AND] tame [IM...
Proof chain: outstanding ⇒ impartial impartial ⇒ zealous outstanding ⇒ impartial impartial ⇒ zealous zealous ∧ pleasant ⇒ strange zealous ∧ strange ⇒ good outstanding ⇒ impartial good ∧ impartial ⇒ mysterious Cannot apply rule “mysterious ∧ pleasant ∧ lonely ⇒ bright” because missing: lonely....
0
9
Facts: Batman is tame [PERIOD] Batman is charming [PERIOD] Rules: charming [IMPLY] confused [PERIOD] clumsy [AND] outstanding [AND] confused [IMPLY] tame [PERIOD] charming [AND] clumsy [AND] gorgeous [IMPLY] confused [PERIOD] curious [IMPLY] adorable [PERIOD] gorgeous [IMPLY] adorable [PERIOD] bored [AND] curious [IMP...
Proof chain: charming ⇒ confused confused ⇒ loving tame ⇒ bored bored ∧ charming ⇒ curious charming ⇒ confused confused ⇒ loving charming ⇒ confused loving ∧ confused ⇒ clumsy loving ∧ curious ∧ clumsy ⇒ outstanding
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9
Facts: Batman is condemned [PERIOD] Rules: condemned [AND] hypocritical [AND] courageous [IMPLY] mean [PERIOD] bright [AND] hypocritical [AND] outstanding [IMPLY] courageous [PERIOD] mean [IMPLY] condemned [PERIOD] disobedient [IMPLY] fearless [PERIOD] disobedient [AND] average [AND] condemned [IMPLY] fearless [PERIOD...
Proof chain: condemned ⇒ disobedient condemned ⇒ disobedient disobedient ⇒ fearless condemned ⇒ disobedient disobedient ⇒ outstanding condemned ⇒ disobedient disobedient ⇒ fearless outstanding ∧ fearless ⇒ fragile disobedient ∧ fearless ∧ fragile ⇒ hypocritical
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9
Facts: Batman is impartial [PERIOD] Batman is pessimistic [PERIOD] Batman is average [PERIOD] Batman is cute [PERIOD] Batman is light [PERIOD] Batman is tired [PERIOD] Batman is courageous [PERIOD] Batman is ambitious [PERIOD] Batman is dull [PERIOD] Batman is sleepy [PERIOD] Batman is hurt [PERIOD] Batman is jittery ...
Proof chain: difficult ⇒ confused light ∧ confused ⇒ mean Cannot apply rule “mean ∧ clumsy ⇒ rude” because missing: clumsy. famous ⇒ stormy difficult ⇒ confused light ∧ confused ⇒ mean stormy ∧ jittery ∧ mean ⇒ combative combative ∧ famous ∧ ambitious ⇒ gleaming Cannot apply rule “sleepy ∧ te...
0
9
Facts: Batman is good [PERIOD] Batman is confident [PERIOD] Rules: stubborn [AND] agreeable [AND] embarrassed [IMPLY] inexpensive [PERIOD] bored [IMPLY] loving [PERIOD] hypocritical [IMPLY] powerful [PERIOD] embarrassed [AND] nervous [IMPLY] gifted [PERIOD] bored [IMPLY] good [PERIOD] stubborn [AND] loving [IMPLY] emb...
Proof chain: confident ⇒ gifted confident ∧ gifted ⇒ easy easy ⇒ nervous confident ⇒ gifted confident ∧ gifted ⇒ easy easy ∧ good ⇒ loving confident ⇒ gifted confident ∧ gifted ⇒ fearless nervous ∧ loving ∧ fearless ⇒ embarrassed
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9
Facts: Batman is tired [PERIOD] Batman is stubborn [PERIOD] Batman is crowded [PERIOD] Batman is wrong [PERIOD] Batman is loving [PERIOD] Batman is shy [PERIOD] Rules: loving [AND] muddy [AND] vivacious [IMPLY] agreeable [PERIOD] long [AND] popular [AND] combative [IMPLY] careless [PERIOD] agreeable [AND] muddy [AND] ...
Proof chain: tired ∧ crowded ⇒ long long ⇒ careless crowded ⇒ tense tense ⇒ clumsy careless ∧ clumsy ⇒ stupid stupid ∧ stubborn ∧ shy ⇒ stormy crowded ⇒ tense tense ⇒ clumsy stormy ∧ clumsy ⇒ victorious
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9
Facts: Rules: jittery [AND] comfortable [IMPLY] fragile [PERIOD] condemned [AND] fragile [IMPLY] confident [PERIOD] witty [AND] confident [AND] excited [IMPLY] fragile [PERIOD] witty [AND] excited [IMPLY] jittery [PERIOD] condemned [IMPLY] witty [PERIOD] condemned [IMPLY] jittery [PERIOD] jittery [IMPLY] witty [PERIOD...
Proof chain: Cannot apply rule “fragile ∧ comfortable ⇒ excited” because missing: fragile, comfortable. Cannot apply rule “fragile ∧ witty ∧ condemned ⇒ excited” because missing: fragile, witty, condemned. Cannot apply rule “jittery ∧ fragile ⇒ excited” because missing: jittery, fragile. Cannot apply rule “...
0
9
Facts: Batman is hurt [PERIOD] Batman is tidy [PERIOD] Batman is enchanting [PERIOD] Rules: tame [AND] glamorous [AND] mysterious [IMPLY] lucky [PERIOD] glamorous [AND] sensible [AND] plain [IMPLY] calm [PERIOD] cooperative [AND] beautiful [IMPLY] shy [PERIOD] amused [AND] excited [IMPLY] ugly [PERIOD] gifted [AND] am...
Proof chain: enchanting ⇒ excited excited ⇒ shy shy ⇒ mysterious hurt ⇒ glamorous hurt ⇒ lucky lucky ∧ hurt ⇒ cooperative hurt ⇒ lucky glamorous ∧ cooperative ∧ lucky ⇒ dishonest enchanting ∧ mysterious ∧ dishonest ⇒ uptight
1
9
Facts: Batman is worried [PERIOD] Batman is cruel [PERIOD] Rules: cruel [AND] dull [AND] worried [IMPLY] jittery [PERIOD] curious [AND] exuberant [IMPLY] polite [PERIOD] light [IMPLY] smart [PERIOD] talkative [AND] silly [IMPLY] uptight [PERIOD] frantic [AND] distinct [AND] worried [IMPLY] curious [PERIOD] talkative [...
Proof chain: worried ∧ cruel ⇒ talkative talkative ⇒ charming charming ⇒ scared Cannot apply rule “scared ∧ distinct ∧ silly ⇒ rational” because missing: distinct, silly. worried ∧ cruel ⇒ talkative talkative ⇒ charming charming ⇒ scared scared ⇒ exuberant Cannot apply rule “exuberant ∧ suppo...
0
9
Facts: Batman is foolish [PERIOD] Batman is cruel [PERIOD] Batman is cooperative [PERIOD] Rules: inexpensive [AND] helpless [IMPLY] polite [PERIOD] helpless [IMPLY] stormy [PERIOD] weary [IMPLY] grumpy [PERIOD] thoughtful [AND] cooperative [IMPLY] easy [PERIOD] attractive [IMPLY] helpless [PERIOD] inexpensive [AND] in...
Proof chain: cruel ⇒ stormy stormy ⇒ helpless foolish ⇒ embarrassed embarrassed ∧ cruel ⇒ easy easy ⇒ calm foolish ⇒ dull calm ∧ dull ∧ foolish ⇒ bright helpless ∧ bright ⇒ beautiful beautiful ⇒ elated
1
9
Facts: Batman is spotless [PERIOD] Rules: comfortable [AND] ugly [AND] tidy [IMPLY] fine [PERIOD] gleaming [AND] ugly [IMPLY] impatient [PERIOD] sleepy [IMPLY] wandering [PERIOD] frantic [AND] ambitious [IMPLY] tired [PERIOD] frantic [AND] hurt [AND] ambitious [IMPLY] outrageous [PERIOD] sleepy [AND] frantic [AND] tir...
Proof chain: spotless ⇒ sleepy sleepy ⇒ wandering spotless ⇒ sleepy sleepy ⇒ frantic spotless ⇒ sleepy spotless ⇒ ugly ugly ⇒ fine frantic ∧ sleepy ∧ fine ⇒ outrageous wandering ∧ outrageous ⇒ beautiful
1
9
Facts: Batman is average [PERIOD] Batman is zealous [PERIOD] Rules: famous [AND] diplomatic [IMPLY] average [PERIOD] dishonest [AND] messy [IMPLY] combative [PERIOD] attractive [AND] ambitious [IMPLY] tired [PERIOD] average [IMPLY] hurt [PERIOD] tired [AND] diplomatic [IMPLY] attractive [PERIOD] hurt [AND] zealous [IM...
Proof chain: average ⇒ hurt average ⇒ tame zealous ⇒ attentive hurt ∧ tame ∧ attentive ⇒ tired average ⇒ hurt hurt ∧ zealous ⇒ dishonest zealous ⇒ attentive attentive ⇒ diplomatic tired ∧ dishonest ∧ diplomatic ⇒ elegant
1
9
Facts: Batman is modern [PERIOD] Batman is grumpy [PERIOD] Batman is tender [PERIOD] Rules: wrong [IMPLY] lucky [PERIOD] average [AND] pessimistic [IMPLY] frightened [PERIOD] pessimistic [AND] average [AND] long [IMPLY] lucky [PERIOD] frantic [IMPLY] quaint [PERIOD] grumpy [AND] diplomatic [IMPLY] average [PERIOD] gru...
Proof chain: tender ⇒ easy easy ⇒ selfish selfish ⇒ average grumpy ⇒ different modern ⇒ wrong wrong ⇒ frantic different ∧ frantic ∧ tender ⇒ pessimistic average ∧ pessimistic ⇒ frightened grumpy ∧ frightened ⇒ curious
1
9
Facts: Batman is rude [PERIOD] Rules: ambitious [AND] strange [AND] jittery [IMPLY] frightened [PERIOD] ambitious [IMPLY] anxious [PERIOD] anxious [IMPLY] fragile [PERIOD] strange [AND] intellectual [IMPLY] wandering [PERIOD] intellectual [AND] bad-tempered [AND] fragile [IMPLY] jittery [PERIOD] wandering [AND] fragil...
Proof chain: rude ⇒ bad-tempered bad-tempered ⇒ anxious Cannot apply rule “anxious ∧ wandering ⇒ tense” because missing: wandering. rude ⇒ bad-tempered bad-tempered ⇒ anxious anxious ⇒ fragile fragile ⇒ smart smart ⇒ intellectual Cannot apply rule “intellectual ∧ strange ⇒ tense” because miss...
0
9
Facts: Batman is difficult [PERIOD] Rules: dishonest [IMPLY] helpful [PERIOD] mean [IMPLY] modern [PERIOD] homely [IMPLY] dishonest [PERIOD] silly [AND] fancy [AND] dishonest [IMPLY] worried [PERIOD] plain [IMPLY] difficult [PERIOD] gorgeous [AND] dishonest [AND] anxious [IMPLY] bright [PERIOD] difficult [IMPLY] fearl...
Proof chain: difficult ⇒ anxious anxious ⇒ homely homely ⇒ dishonest dishonest ⇒ helpful difficult ⇒ anxious anxious ⇒ homely helpful ∧ homely ∧ difficult ⇒ gorgeous difficult ⇒ anxious gorgeous ∧ difficult ∧ anxious ⇒ modern
1
9
Facts: Batman is disobedient [PERIOD] Batman is unpleasant [PERIOD] Batman is careless [PERIOD] Batman is broad-minded [PERIOD] Batman is thoughtless [PERIOD] Batman is wide-eyed [PERIOD] Batman is silly [PERIOD] Rules: mysterious [AND] old-fashioned [IMPLY] inexpensive [PERIOD] bossy [AND] old-fashioned [IMPLY] hilar...
Proof chain: silly ⇒ excited excited ⇒ anxious anxious ∧ thoughtless ⇒ old-fashioned silly ⇒ excited thoughtless ⇒ proud thoughtless ⇒ adorable proud ∧ adorable ⇒ famous famous ⇒ loving old-fashioned ∧ excited ∧ loving ⇒ innocent
1
9
Facts: Batman is selfish [PERIOD] Batman is famous [PERIOD] Batman is alert [PERIOD] Rules: nervous [AND] easy [AND] distinct [IMPLY] disgusted [PERIOD] famous [AND] bossy [IMPLY] shy [PERIOD] bossy [AND] light [IMPLY] scared [PERIOD] stupid [AND] tender [AND] selfish [IMPLY] shy [PERIOD] comfortable [IMPLY] crowded [...
Proof chain: famous ∧ selfish ⇒ tender tender ∧ alert ⇒ confused confused ⇒ light light ⇒ disgusted famous ∧ selfish ⇒ tender tender ∧ alert ⇒ bossy disgusted ∧ alert ∧ bossy ⇒ comfortable comfortable ⇒ stupid selfish ∧ stupid ∧ alert ⇒ distinct
1
9
Facts: Rules: sleepy [AND] calm [IMPLY] cute [PERIOD] frail [AND] cute [IMPLY] versatile [PERIOD] plain [IMPLY] frail [PERIOD] dull [AND] sleepy [IMPLY] cute [PERIOD] frail [AND] popular [AND] uptight [IMPLY] plain [PERIOD] popular [AND] versatile [IMPLY] calm [PERIOD] cute [IMPLY] disgusted [PERIOD] frail [AND] exube...
Proof chain: Cannot apply rule “frail ⇒ exuberant” because missing: frail. Cannot apply rule “elated ⇒ exuberant” because missing: elated. Cannot apply rule “versatile ∧ plain ∧ modern ⇒ exuberant” because missing: versatile, plain, modern. Cannot apply rule “modern ⇒ exuberant” because missing: modern. ...
0
9
Facts: Batman is inexpensive [PERIOD] Batman is elated [PERIOD] Batman is victorious [PERIOD] Batman is sincere [PERIOD] Batman is fine [PERIOD] Batman is quaint [PERIOD] Rules: fragile [IMPLY] shy [PERIOD] long [IMPLY] sincere [PERIOD] victorious [AND] stubborn [AND] sincere [IMPLY] agreeable [PERIOD] serious [AND] l...
Proof chain: victorious ⇒ thoughtful thoughtful ∧ victorious ⇒ worrisome elated ∧ fine ⇒ shy shy ⇒ agreeable worrisome ∧ agreeable ⇒ serious inexpensive ⇒ stubborn stubborn ⇒ pessimistic fine ∧ quaint ∧ pessimistic ⇒ long serious ∧ long ∧ fine ⇒ fragile
1
9
Facts: Batman is adorable [PERIOD] Batman is enchanting [PERIOD] Batman is straightforward [PERIOD] Batman is serious [PERIOD] Rules: calm [AND] loving [IMPLY] pleasant [PERIOD] friendly [IMPLY] straightforward [PERIOD] pleasant [AND] serious [IMPLY] enchanting [PERIOD] serious [AND] scared [AND] hypocritical [IMPLY] ...
Proof chain: adorable ⇒ agreeable adorable ⇒ agreeable agreeable ⇒ rude agreeable ∧ straightforward ∧ rude ⇒ gleaming Cannot apply rule “gleaming ∧ cooperative ⇒ glamorous” because missing: cooperative. straightforward ⇒ fragile enchanting ⇒ scared fragile ∧ scared ⇒ quaint Cannot apply rule ...
0
9
Facts: Batman is aggressive [PERIOD] Batman is shiny [PERIOD] Rules: shiny [IMPLY] mysterious [PERIOD] distinct [AND] shiny [AND] courageous [IMPLY] comfortable [PERIOD] sensible [AND] comfortable [AND] courageous [IMPLY] distinct [PERIOD] courageous [IMPLY] shiny [PERIOD] sensible [AND] courageous [IMPLY] comfortable...
Proof chain: shiny ⇒ mysterious shiny ⇒ mysterious mysterious ⇒ strange mysterious ∧ strange ⇒ comfortable Cannot apply rule “distinct ∧ light ∧ comfortable ⇒ nervous” because missing: distinct, light. shiny ⇒ mysterious shiny ⇒ mysterious mysterious ⇒ strange Cannot apply rule “mysterious ∧ ...
0
9
Facts: Batman is hurt [PERIOD] Batman is powerful [PERIOD] Batman is diplomatic [PERIOD] Rules: agreeable [AND] different [AND] mean [IMPLY] diplomatic [PERIOD] dull [AND] joyous [IMPLY] impatient [PERIOD] dull [AND] powerful [AND] clean [IMPLY] mean [PERIOD] hurt [AND] impatient [IMPLY] agreeable [PERIOD] fearless [I...
Proof chain: diplomatic ⇒ messy messy ∧ powerful ⇒ joyous joyous ∧ hurt ⇒ mean hurt ∧ diplomatic ∧ mean ⇒ impatient diplomatic ⇒ messy messy ∧ powerful ⇒ joyous joyous ∧ hurt ⇒ mean mean ⇒ vivacious impatient ∧ vivacious ⇒ clean
1
9
Facts: Batman is inexpensive [PERIOD] Batman is wrong [PERIOD] Rules: bossy [AND] naughty [AND] different [IMPLY] blushing [PERIOD] modern [IMPLY] calm [PERIOD] tame [AND] selfish [AND] amused [IMPLY] lucky [PERIOD] bored [IMPLY] selfish [PERIOD] ugliest [AND] tidy [AND] calm [IMPLY] modern [PERIOD] bossy [AND] bored ...
Proof chain: wrong ⇒ ugliest wrong ⇒ ugliest ugliest ⇒ tidy wrong ⇒ ugliest ugliest ⇒ calm ugliest ∧ tidy ∧ calm ⇒ modern wrong ⇒ ugliest ugliest ⇒ tidy Cannot apply rule “modern ∧ tame ∧ tidy ⇒ bored” because missing: tame.
0
9
Facts: Batman is shiny [PERIOD] Rules: tender [AND] vivacious [IMPLY] attentive [PERIOD] reserved [AND] attentive [AND] outrageous [IMPLY] weary [PERIOD] combative [IMPLY] aggressive [PERIOD] comfortable [AND] silly [AND] combative [IMPLY] anxious [PERIOD] rude [AND] uptight [IMPLY] aggressive [PERIOD] aggressive [AND...
Proof chain: Cannot apply rule “reserved ⇒ uptight” because missing: reserved. Cannot apply rule “tender ⇒ uptight” because missing: tender. Cannot apply rule “shy ∧ shiny ∧ weary ⇒ uptight” because missing: shy, weary. Cannot apply rule “shiny ∧ shy ⇒ uptight” because missing: shy. Cannot apply rule “pl...
0
9
Facts: Batman is impartial [PERIOD] Batman is anxious [PERIOD] Rules: scared [AND] vivacious [AND] gifted [IMPLY] fearless [PERIOD] lonely [AND] lucky [AND] elegant [IMPLY] impartial [PERIOD] tense [AND] lucky [AND] proud [IMPLY] witty [PERIOD] elegant [IMPLY] gifted [PERIOD] diplomatic [IMPLY] witty [PERIOD] lonely [...
Proof chain: anxious ⇒ tender impartial ⇒ diplomatic diplomatic ⇒ witty impartial ⇒ diplomatic diplomatic ⇒ lucky impartial ∧ lucky ⇒ lonely anxious ⇒ vivacious lonely ∧ vivacious ⇒ gifted tender ∧ witty ∧ gifted ⇒ helpful
1
9
Facts: Batman is outrageous [PERIOD] Batman is cooperative [PERIOD] Batman is shy [PERIOD] Batman is serious [PERIOD] Batman is charming [PERIOD] Batman is joyous [PERIOD] Batman is quaint [PERIOD] Batman is attentive [PERIOD] Rules: exuberant [AND] famous [IMPLY] charming [PERIOD] talkative [AND] jittery [IMPLY] agre...
Proof chain: charming ⇒ broad-minded broad-minded ⇒ exuberant exuberant ⇒ difficult charming ⇒ broad-minded broad-minded ⇒ exuberant exuberant ⇒ difficult difficult ⇒ mean serious ⇒ famous difficult ∧ mean ∧ famous ⇒ agreeable
1
9
Facts: Batman is impatient [PERIOD] Batman is innocent [PERIOD] Rules: mean [AND] proud [AND] naughty [IMPLY] thoughtless [PERIOD] elated [AND] naughty [AND] mean [IMPLY] comfortable [PERIOD] stubborn [AND] excited [AND] worrisome [IMPLY] mean [PERIOD] elated [IMPLY] courageous [PERIOD] naughty [AND] stubborn [AND] co...
Proof chain: innocent ⇒ thoughtless thoughtless ⇒ elated innocent ⇒ thoughtless thoughtless ⇒ elated elated ⇒ courageous elated ∧ courageous ⇒ proud Cannot apply rule “proud ∧ worrisome ⇒ stubborn” because missing: worrisome. innocent ⇒ thoughtless Cannot apply rule “excited ∧ thoughtless ⇒ s...
0
9
Facts: Batman is stubborn [PERIOD] Batman is muddy [PERIOD] Rules: rude [AND] stubborn [IMPLY] victorious [PERIOD] sincere [IMPLY] pleasant [PERIOD] pleasant [AND] rude [AND] homely [IMPLY] victorious [PERIOD] victorious [IMPLY] sincere [PERIOD] homely [IMPLY] muddy [PERIOD] stubborn [AND] talkative [IMPLY] sincere [P...
Proof chain: stubborn ⇒ disobedient disobedient ∧ stubborn ⇒ nervous muddy ⇒ pleasant pleasant ⇒ talkative nervous ∧ talkative ⇒ homely Cannot apply rule “homely ∧ stubborn ∧ rude ⇒ bad-tempered” because missing: rude. muddy ⇒ pleasant pleasant ⇒ talkative Cannot apply rule “talkative ∧ rude ...
0
9
Facts: Rules: pessimistic [AND] condemned [AND] diplomatic [IMPLY] powerful [PERIOD] talkative [AND] pessimistic [IMPLY] thoughtless [PERIOD] pessimistic [IMPLY] outrageous [PERIOD] mysterious [AND] condemned [IMPLY] powerful [PERIOD] mysterious [AND] talkative [AND] pessimistic [IMPLY] diplomatic [PERIOD] amused [AND...
Proof chain: Cannot apply rule “pessimistic ⇒ outrageous” because missing: pessimistic. Cannot apply rule “powerful ⇒ outrageous” because missing: powerful. Cannot apply rule “amused ⇒ outrageous” because missing: amused. Cannot apply rule “talkative ⇒ outrageous” because missing: talkative. Cannot apply...
0
9
Facts: Batman is vivacious [PERIOD] Batman is rude [PERIOD] Batman is light [PERIOD] Batman is cruel [PERIOD] Batman is calm [PERIOD] Batman is rational [PERIOD] Rules: famous [IMPLY] hypocritical [PERIOD] uptight [AND] grumpy [IMPLY] cooperative [PERIOD] glamorous [AND] straightforward [IMPLY] weary [PERIOD] cooperat...
Proof chain: calm ⇒ cooperative cooperative ⇒ frantic frantic ⇒ messy messy ⇒ charming calm ⇒ cooperative cooperative ⇒ frantic frantic ⇒ famous famous ⇒ hypocritical charming ∧ hypocritical ⇒ outstanding
1
9
Facts: Batman is talented [PERIOD] Rules: homely [AND] talented [IMPLY] shy [PERIOD] shy [IMPLY] talented [PERIOD] hypocritical [AND] spotless [AND] fancy [IMPLY] gorgeous [PERIOD] talented [AND] worried [AND] thoughtless [IMPLY] hypocritical [PERIOD] anxious [AND] shy [AND] worried [IMPLY] mean [PERIOD] tender [AND] ...
Proof chain: talented ⇒ fancy Cannot apply rule “shy ∧ talented ∧ fancy ⇒ powerful” because missing: shy. Cannot apply rule “tender ⇒ powerful” because missing: tender. talented ⇒ popular popular ⇒ hypocritical Cannot apply rule “shy ∧ embarrassed ∧ hypocritical ⇒ powerful” because missing: shy, embar...
0
9
Facts: Batman is attentive [PERIOD] Batman is worried [PERIOD] Batman is quaint [PERIOD] Rules: glamorous [AND] bright [AND] versatile [IMPLY] average [PERIOD] bright [IMPLY] courageous [PERIOD] agreeable [AND] bored [AND] attentive [IMPLY] popular [PERIOD] quaint [IMPLY] courageous [PERIOD] popular [AND] attentive [A...
Proof chain: Cannot apply rule “attractive ⇒ stupid” because missing: attractive. quaint ⇒ courageous Cannot apply rule “average ∧ courageous ⇒ stupid” because missing: average. quaint ⇒ courageous attentive ∧ courageous ⇒ bright bright ∧ quaint ⇒ bored quaint ⇒ courageous attentive ∧ courageous...
0
9
Facts: Batman is tame [PERIOD] Batman is friendly [PERIOD] Rules: crowded [AND] precious [AND] tame [IMPLY] frail [PERIOD] precious [AND] rational [IMPLY] old-fashioned [PERIOD] long [AND] unpleasant [AND] rational [IMPLY] proud [PERIOD] attractive [AND] plain [AND] long [IMPLY] good [PERIOD] careless [AND] unpleasant...
Proof chain: tame ⇒ crowded crowded ⇒ unpleasant tame ⇒ cute unpleasant ∧ cute ⇒ stupid stupid ⇒ comfortable comfortable ⇒ hypocritical hypocritical ⇒ ugliest ugliest ∧ friendly ⇒ selfish selfish ⇒ smart
1
9
Facts: Batman is tense [PERIOD] Batman is stormy [PERIOD] Batman is enchanting [PERIOD] Rules: stormy [AND] amused [IMPLY] impartial [PERIOD] homely [AND] comfortable [IMPLY] dull [PERIOD] impartial [IMPLY] enchanting [PERIOD] troubled [AND] lucky [AND] amused [IMPLY] popular [PERIOD] pleasant [AND] enchanting [IMPLY]...
Proof chain: stormy ⇒ precious precious ⇒ troubled tense ⇒ busy busy ⇒ comfortable enchanting ∧ comfortable ⇒ modern troubled ∧ modern ⇒ homely tense ⇒ busy busy ⇒ comfortable homely ∧ comfortable ⇒ dull
1
9
Facts: Batman is proud [PERIOD] Batman is bossy [PERIOD] Batman is disobedient [PERIOD] Batman is friendly [PERIOD] Batman is long [PERIOD] Batman is muddy [PERIOD] Batman is exuberant [PERIOD] Rules: muddy [AND] bossy [AND] pessimistic [IMPLY] tender [PERIOD] horrible [AND] gifted [AND] elated [IMPLY] selfish [PERIOD...
Proof chain: Cannot apply rule “lonely ⇒ hilarious” because missing: lonely. Cannot apply rule “blushing ⇒ hilarious” because missing: blushing. bossy ∧ muddy ∧ proud ⇒ selfish selfish ⇒ easy Cannot apply rule “tired ∧ easy ⇒ hilarious” because missing: tired. bossy ⇒ intellectual intellectual ⇒ te...
0
9
Facts: Batman is vivacious [PERIOD] Batman is frightened [PERIOD] Rules: muddy [AND] light [IMPLY] crowded [PERIOD] powerful [AND] precious [AND] crowded [IMPLY] stubborn [PERIOD] gorgeous [AND] dull [IMPLY] precious [PERIOD] muddy [AND] powerful [IMPLY] busy [PERIOD] thoughtless [AND] uptight [AND] vivacious [IMPLY] ...
Proof chain: frightened ⇒ crowded vivacious ∧ crowded ⇒ gorgeous frightened ⇒ light light ⇒ uptight uptight ⇒ muddy muddy ⇒ fearless fearless ⇒ dull gorgeous ∧ dull ⇒ precious precious ⇒ stubborn
1
9
Facts: Batman is fine [PERIOD] Rules: careless [IMPLY] clean [PERIOD] helpless [AND] careless [IMPLY] bad-tempered [PERIOD] adorable [AND] tame [AND] clean [IMPLY] cruel [PERIOD] bad-tempered [IMPLY] embarrassed [PERIOD] cruel [IMPLY] confused [PERIOD] adorable [AND] cruel [IMPLY] fine [PERIOD] adorable [AND] fine [IM...
Proof chain: fine ⇒ cruel fine ⇒ cruel cruel ⇒ embarrassed fine ⇒ cruel cruel ⇒ confused embarrassed ∧ confused ⇒ adorable fine ⇒ cruel cruel ⇒ embarrassed cruel ∧ adorable ∧ embarrassed ⇒ careless
1
9
Facts: Batman is naughty [PERIOD] Rules: gorgeous [AND] impatient [IMPLY] lonely [PERIOD] innocent [AND] gorgeous [AND] ugliest [IMPLY] outrageous [PERIOD] famous [IMPLY] hypocritical [PERIOD] impatient [AND] helpful [AND] polite [IMPLY] impartial [PERIOD] cruel [IMPLY] innocent [PERIOD] helpful [AND] proud [AND] hypo...
Proof chain: naughty ⇒ nervous naughty ⇒ nervous nervous ⇒ beautiful naughty ⇒ nervous beautiful ∧ nervous ⇒ proud nervous ∧ proud ⇒ outrageous naughty ⇒ impartial outrageous ∧ impartial ⇒ impatient impatient ⇒ famous
1
9
Facts: Batman is rude [PERIOD] Batman is calm [PERIOD] Rules: bright [AND] exuberant [IMPLY] fine [PERIOD] gorgeous [AND] powerful [IMPLY] troubled [PERIOD] careless [AND] proud [AND] wandering [IMPLY] curious [PERIOD] frightened [AND] easy [AND] joyous [IMPLY] impatient [PERIOD] elegant [AND] fine [IMPLY] proud [PERI...
Proof chain: calm ⇒ fine fine ⇒ outstanding outstanding ⇒ curious calm ⇒ fine fine ⇒ outstanding outstanding ⇒ curious calm ⇒ fine curious ∧ fine ⇒ attentive curious ∧ attentive ⇒ troubled
1
9
Facts: Batman is unpleasant [PERIOD] Batman is stubborn [PERIOD] Batman is quaint [PERIOD] Rules: plain [AND] unpleasant [AND] dishonest [IMPLY] alert [PERIOD] plain [AND] old-fashioned [IMPLY] excited [PERIOD] gorgeous [AND] old-fashioned [AND] wandering [IMPLY] tired [PERIOD] amused [AND] crowded [AND] difficult [IM...
Proof chain: quaint ⇒ crowded quaint ⇒ crowded crowded ∧ unpleasant ⇒ excited excited ⇒ confused crowded ∧ confused ∧ stubborn ⇒ good stubborn ⇒ confident quaint ⇒ crowded confident ∧ crowded ⇒ blushing good ∧ blushing ⇒ frightened
1
9
Facts: Batman is broad-minded [PERIOD] Batman is hurt [PERIOD] Batman is proud [PERIOD] Batman is amused [PERIOD] Rules: crowded [AND] gleaming [IMPLY] attentive [PERIOD] proud [AND] unpleasant [IMPLY] crowded [PERIOD] easy [AND] agreeable [IMPLY] fine [PERIOD] curious [AND] amused [AND] sensible [IMPLY] fine [PERIOD]...
Proof chain: proud ⇒ bossy bossy ⇒ attentive attentive ⇒ crowded proud ⇒ rude rude ⇒ gleaming gleaming ∧ broad-minded ⇒ fine crowded ∧ fine ⇒ bored proud ⇒ rude bored ∧ rude ∧ proud ⇒ agreeable
1
9
Facts: Rules: excited [AND] different [AND] calm [IMPLY] powerful [PERIOD] excited [AND] muddy [AND] powerful [IMPLY] quaint [PERIOD] muddy [AND] powerful [IMPLY] average [PERIOD] quaint [AND] average [AND] excited [IMPLY] powerful [PERIOD] calm [AND] quaint [IMPLY] average [PERIOD] calm [IMPLY] average [PERIOD] quain...
Proof chain: Cannot apply rule “muddy ∧ powerful ⇒ average” because missing: muddy, powerful. Cannot apply rule “calm ∧ quaint ⇒ average” because missing: calm, quaint. Cannot apply rule “calm ⇒ average” because missing: calm. Cannot apply rule “quaint ∧ muddy ⇒ average” because missing: quaint, muddy. C...
0
9
Facts: Batman is glamorous [PERIOD] Batman is confident [PERIOD] Batman is distinct [PERIOD] Batman is pessimistic [PERIOD] Batman is exuberant [PERIOD] Batman is anxious [PERIOD] Batman is naughty [PERIOD] Batman is vivacious [PERIOD] Batman is elated [PERIOD] Batman is ugly [PERIOD] Batman is tense [PERIOD] Batman i...
Proof chain: vivacious ⇒ frail frail ∧ pessimistic ⇒ blushing ugly ∧ blushing ⇒ cute Cannot apply rule “easy ∧ quaint ∧ cute ⇒ gifted” because missing: quaint. Cannot apply rule “intellectual ∧ glamorous ∧ quaint ⇒ gifted” because missing: intellectual, quaint. vivacious ⇒ frail frail ∧ pessimistic...
0
9
Facts: Batman is frail [PERIOD] Batman is sincere [PERIOD] Batman is plain [PERIOD] Rules: frightened [AND] confused [AND] talented [IMPLY] tired [PERIOD] old-fashioned [AND] easy [IMPLY] nervous [PERIOD] precious [AND] sleepy [AND] cooperative [IMPLY] proud [PERIOD] thoughtless [AND] talented [IMPLY] helpful [PERIOD]...
Proof chain: plain ⇒ frantic frantic ⇒ elegant elegant ⇒ stormy stormy ⇒ sensible sensible ⇒ confused confused ⇒ scared scared ⇒ blushing blushing ⇒ vivacious vivacious ⇒ thoughtless
1
9
Facts: Batman is jittery [PERIOD] Batman is beautiful [PERIOD] Batman is outrageous [PERIOD] Rules: talented [AND] amused [IMPLY] different [PERIOD] pleasant [AND] alert [IMPLY] shiny [PERIOD] hurt [AND] selfish [IMPLY] shiny [PERIOD] victorious [AND] alert [AND] different [IMPLY] selfish [PERIOD] alert [AND] shiny [A...
Proof chain: jittery ⇒ spotless spotless ⇒ worrisome worrisome ⇒ different jittery ⇒ spotless spotless ⇒ worrisome different ∧ worrisome ⇒ disobedient disobedient ⇒ amused amused ⇒ sincere sincere ⇒ alert
1
9
Facts: Batman is plain [PERIOD] Rules: difficult [AND] clean [IMPLY] glamorous [PERIOD] nervous [IMPLY] precious [PERIOD] combative [AND] light [AND] joyous [IMPLY] difficult [PERIOD] precious [AND] talkative [IMPLY] bossy [PERIOD] precious [AND] curious [IMPLY] zealous [PERIOD] precious [IMPLY] amused [PERIOD] shiny ...
Proof chain: plain ⇒ shiny plain ⇒ shiny shiny ⇒ curious shiny ∧ curious ⇒ excited excited ⇒ difficult plain ⇒ shiny shiny ⇒ curious plain ⇒ shiny difficult ∧ curious ∧ shiny ⇒ talkative
1
9
Facts: Batman is fine [PERIOD] Batman is victorious [PERIOD] Batman is attentive [PERIOD] Batman is elegant [PERIOD] Batman is inexpensive [PERIOD] Batman is reserved [PERIOD] Batman is exuberant [PERIOD] Batman is frantic [PERIOD] Rules: reserved [AND] witty [AND] frantic [IMPLY] hilarious [PERIOD] stormy [AND] clums...
Proof chain: exuberant ⇒ clumsy fine ⇒ witty clumsy ∧ witty ∧ fine ⇒ bossy exuberant ⇒ clumsy fine ⇒ witty clumsy ∧ witty ∧ fine ⇒ bossy bossy ⇒ hypocritical bossy ∧ hypocritical ⇒ wrong fine ∧ elegant ∧ wrong ⇒ charming
1
9
Facts: Batman is enchanting [PERIOD] Batman is sincere [PERIOD] Batman is popular [PERIOD] Batman is jittery [PERIOD] Batman is ambitious [PERIOD] Rules: alert [IMPLY] joyous [PERIOD] dishonest [AND] naughty [IMPLY] adorable [PERIOD] embarrassed [AND] different [IMPLY] ambitious [PERIOD] bossy [IMPLY] wide-eyed [PERIO...
Proof chain: popular ⇒ wide-eyed jittery ⇒ famous enchanting ∧ famous ⇒ hilarious wide-eyed ∧ hilarious ⇒ alert popular ⇒ wide-eyed jittery ⇒ famous famous ⇒ friendly wide-eyed ∧ popular ∧ friendly ⇒ bossy alert ∧ bossy ⇒ dishonest
1
9
Facts: Batman is fragile [PERIOD] Batman is strange [PERIOD] Batman is easy [PERIOD] Batman is elegant [PERIOD] Batman is intellectual [PERIOD] Batman is quaint [PERIOD] Batman is jittery [PERIOD] Rules: quaint [AND] weary [IMPLY] intellectual [PERIOD] tired [AND] perfect [IMPLY] elegant [PERIOD] adorable [AND] weary ...
Proof chain: elegant ⇒ different different ⇒ talkative talkative ∧ strange ⇒ naughty elegant ⇒ different naughty ∧ fragile ∧ different ⇒ supportive elegant ⇒ different different ⇒ talkative talkative ∧ strange ⇒ naughty Cannot apply rule “supportive ∧ naughty ∧ adorable ⇒ sleepy” because miss...
0
9
Facts: Batman is easy [PERIOD] Batman is fragile [PERIOD] Batman is intellectual [PERIOD] Batman is careless [PERIOD] Batman is ugliest [PERIOD] Batman is frightened [PERIOD] Batman is gorgeous [PERIOD] Rules: hypocritical [IMPLY] intellectual [PERIOD] tidy [AND] versatile [IMPLY] shy [PERIOD] easy [AND] nervous [AND]...
Proof chain: careless ∧ frightened ∧ intellectual ⇒ calm gorgeous ∧ fragile ⇒ hypocritical hypocritical ⇒ famous calm ∧ famous ∧ careless ⇒ embarrassed embarrassed ⇒ distinct distinct ⇒ friendly gorgeous ∧ fragile ⇒ hypocritical hypocritical ⇒ famous easy ∧ friendly ∧ famous ⇒ excited
1
9
Facts: Batman is embarrassed [PERIOD] Batman is hilarious [PERIOD] Batman is crowded [PERIOD] Rules: talented [AND] wandering [IMPLY] ambitious [PERIOD] plain [AND] worrisome [AND] vivacious [IMPLY] straightforward [PERIOD] polite [AND] hilarious [IMPLY] versatile [PERIOD] worrisome [AND] talented [AND] embarrassed [I...
Proof chain: hilarious ⇒ polite polite ∧ hilarious ⇒ versatile hilarious ⇒ polite polite ∧ hilarious ⇒ versatile versatile ⇒ wandering wandering ⇒ excited excited ∧ hilarious ⇒ cruel versatile ∧ cruel ⇒ talented talented ∧ embarrassed ⇒ homely
1
9
Facts: Batman is bossy [PERIOD] Batman is mysterious [PERIOD] Batman is innocent [PERIOD] Rules: bossy [IMPLY] stubborn [PERIOD] impartial [AND] talkative [IMPLY] mysterious [PERIOD] comfortable [AND] old-fashioned [IMPLY] reserved [PERIOD] cute [AND] reserved [AND] old-fashioned [IMPLY] perfect [PERIOD] plain [AND] s...
Proof chain: Cannot apply rule “talkative ⇒ helpful” because missing: talkative. Cannot apply rule “bossy ∧ proud ⇒ helpful” because missing: proud. bossy ⇒ stubborn stubborn ∧ mysterious ⇒ old-fashioned Cannot apply rule “old-fashioned ∧ plain ∧ cute ⇒ helpful” because missing: plain, cute. Cannot ap...
0
9
Facts: Rules: innocent [AND] talkative [IMPLY] friendly [PERIOD] talkative [IMPLY] cruel [PERIOD] crowded [AND] cruel [AND] friendly [IMPLY] straightforward [PERIOD] cruel [AND] sleepy [AND] enchanting [IMPLY] tidy [PERIOD] worrisome [AND] tense [IMPLY] old-fashioned [PERIOD] nervous [AND] straightforward [AND] talkat...
Proof chain: Cannot apply rule “friendly ∧ naughty ⇒ sensible” because missing: friendly, naughty. Cannot apply rule “popular ∧ talkative ⇒ sensible” because missing: popular, talkative. Cannot apply rule “talkative ∧ gifted ∧ friendly ⇒ sensible” because missing: talkative, gifted, friendly. Cannot apply r...
0
9
Facts: Batman is frightened [PERIOD] Batman is blushing [PERIOD] Batman is agreeable [PERIOD] Batman is beautiful [PERIOD] Batman is light [PERIOD] Batman is hilarious [PERIOD] Rules: lucky [AND] impatient [IMPLY] talkative [PERIOD] pessimistic [AND] impatient [AND] blushing [IMPLY] hilarious [PERIOD] beautiful [AND] ...
Proof chain: beautiful ⇒ lucky beautiful ⇒ lucky lucky ⇒ cruel frightened ∧ hilarious ∧ cruel ⇒ impatient lucky ∧ impatient ⇒ talkative beautiful ⇒ lucky lucky ⇒ cruel frightened ∧ hilarious ∧ cruel ⇒ impatient light ∧ talkative ∧ impatient ⇒ plain
1
9
Facts: Batman is enchanting [PERIOD] Rules: blushing [AND] horrible [AND] charming [IMPLY] old-fashioned [PERIOD] enchanting [AND] comfortable [IMPLY] long [PERIOD] tame [IMPLY] busy [PERIOD] pessimistic [AND] hurt [IMPLY] charming [PERIOD] jittery [AND] long [IMPLY] serious [PERIOD] blushing [IMPLY] busy [PERIOD] bri...
Proof chain: enchanting ⇒ adorable enchanting ⇒ jittery enchanting ⇒ adorable enchanting ⇒ jittery jittery ⇒ blushing adorable ∧ blushing ⇒ long adorable ∧ jittery ∧ long ⇒ hilarious hilarious ⇒ bright bright ⇒ pessimistic
1
9
Facts: Batman is crowded [PERIOD] Rules: frail [AND] worrisome [AND] wide-eyed [IMPLY] bossy [PERIOD] confused [AND] crowded [IMPLY] bossy [PERIOD] worrisome [AND] agreeable [IMPLY] wide-eyed [PERIOD] bossy [IMPLY] crowded [PERIOD] bossy [AND] wide-eyed [IMPLY] frail [PERIOD] wide-eyed [AND] bossy [IMPLY] horrible [PE...
Proof chain: crowded ⇒ wide-eyed crowded ⇒ bossy wide-eyed ∧ bossy ⇒ horrible crowded ⇒ bossy bossy ⇒ worrisome crowded ⇒ bossy bossy ⇒ worrisome worrisome ⇒ average horrible ∧ worrisome ∧ average ⇒ agreeable
1
9
Facts: Batman is crowded [PERIOD] Batman is old-fashioned [PERIOD] Batman is broad-minded [PERIOD] Batman is frantic [PERIOD] Batman is talented [PERIOD] Batman is muddy [PERIOD] Rules: condemned [AND] talented [AND] rational [IMPLY] light [PERIOD] sensible [IMPLY] attractive [PERIOD] disgusted [AND] light [IMPLY] pre...
Proof chain: talented ∧ broad-minded ∧ old-fashioned ⇒ fine frantic ⇒ inquisitive Cannot apply rule “disgusted ∧ fine ∧ inquisitive ⇒ joyous” because missing: disgusted. crowded ⇒ wandering frantic ⇒ inquisitive crowded ⇒ condemned inquisitive ∧ condemned ⇒ sensible sensible ⇒ attractive Cann...
0
9
Facts: Batman is talkative [PERIOD] Batman is foolish [PERIOD] Rules: talkative [AND] amused [AND] naughty [IMPLY] foolish [PERIOD] foolish [AND] naughty [IMPLY] amused [PERIOD] talkative [IMPLY] foolish [PERIOD] naughty [AND] amused [IMPLY] foolish [PERIOD] light [IMPLY] wandering [PERIOD] different [AND] ambitious [...
Proof chain: foolish ⇒ light talkative ∧ foolish ⇒ wandering light ∧ wandering ∧ talkative ⇒ different foolish ⇒ light foolish ⇒ light talkative ∧ foolish ⇒ wandering light ∧ wandering ∧ talkative ⇒ different light ∧ foolish ∧ different ⇒ amused different ∧ talkative ∧ amused ⇒ naughty
1
9
Facts: Rules: shy [IMPLY] fancy [PERIOD] fragile [AND] silly [IMPLY] lonely [PERIOD] nervous [AND] good [IMPLY] shy [PERIOD] disobedient [IMPLY] tense [PERIOD] courageous [IMPLY] impatient [PERIOD] courageous [AND] fancy [IMPLY] shy [PERIOD] stupid [AND] impatient [AND] shy [IMPLY] courageous [PERIOD] fragile [AND] ou...
Proof chain: Cannot apply rule “courageous ∧ good ∧ outrageous ⇒ mysterious” because missing: courageous, good, outrageous. Cannot apply rule “cruel ∧ nervous ⇒ mysterious” because missing: cruel, nervous. Cannot apply rule “good ⇒ mysterious” because missing: good. Cannot apply rule “tense ⇒ mysterious” be...
0
9
Facts: Batman is dishonest [PERIOD] Rules: polite [AND] confident [IMPLY] amused [PERIOD] sensible [AND] mysterious [IMPLY] confident [PERIOD] amused [AND] cooperative [IMPLY] polite [PERIOD] lucky [AND] mysterious [AND] attractive [IMPLY] cooperative [PERIOD] sensible [AND] worried [AND] dishonest [IMPLY] confident [...
Proof chain: dishonest ⇒ lucky Cannot apply rule “lucky ∧ mysterious ∧ attractive ⇒ cooperative” because missing: mysterious, attractive. dishonest ⇒ lucky Cannot apply rule “dishonest ∧ worried ∧ lucky ⇒ cooperative” because missing: worried. dishonest ⇒ lucky Cannot apply rule “mysterious ∧ lucky ⇒ ...
0
9
Facts: Batman is embarrassed [PERIOD] Batman is elegant [PERIOD] Batman is popular [PERIOD] Rules: bored [AND] shy [AND] light [IMPLY] easy [PERIOD] embarrassed [AND] stubborn [IMPLY] hurt [PERIOD] worrisome [IMPLY] plain [PERIOD] shy [IMPLY] bored [PERIOD] shy [AND] plain [IMPLY] light [PERIOD] fragile [AND] homely [...
Proof chain: embarrassed ⇒ worrisome worrisome ⇒ plain Cannot apply rule “shy ∧ plain ⇒ light” because missing: shy. Cannot apply rule “easy ∧ popular ∧ elegant ⇒ light” because missing: easy. embarrassed ⇒ worrisome worrisome ⇒ plain plain ∧ elegant ∧ popular ⇒ bored bored ⇒ enchanting Canno...
0
9
Facts: Batman is rude [PERIOD] Batman is perfect [PERIOD] Rules: muddy [AND] broad-minded [AND] hurt [IMPLY] aggressive [PERIOD] lucky [AND] sensible [AND] outstanding [IMPLY] messy [PERIOD] outstanding [AND] rude [AND] supportive [IMPLY] wandering [PERIOD] light [AND] versatile [AND] crowded [IMPLY] victorious [PERIO...
Proof chain: Cannot apply rule “outstanding ∧ muddy ⇒ crowded” because missing: outstanding, muddy. Cannot apply rule “shy ⇒ crowded” because missing: shy. perfect ⇒ broad-minded Cannot apply rule “lucky ∧ broad-minded ∧ versatile ⇒ crowded” because missing: lucky, versatile. Cannot apply rule “versatile...
0
9
Facts: Batman is strange [PERIOD] Batman is hypocritical [PERIOD] Batman is talkative [PERIOD] Batman is rational [PERIOD] Batman is joyous [PERIOD] Rules: light [IMPLY] tired [PERIOD] tired [AND] horrible [IMPLY] gleaming [PERIOD] helpless [IMPLY] horrible [PERIOD] mysterious [AND] joyous [IMPLY] lonely [PERIOD] cour...
Proof chain: joyous ⇒ famous famous ∧ joyous ⇒ disgusted joyous ⇒ famous famous ⇒ popular popular ⇒ light light ⇒ tired disgusted ∧ tired ⇒ supportive Cannot apply rule “shiny ∧ supportive ⇒ pessimistic” because missing: shiny. Cannot apply rule “talkative ∧ courageous ∧ exuberant ⇒ pessimist...
0
9
Facts: Batman is different [PERIOD] Batman is average [PERIOD] Batman is messy [PERIOD] Batman is polite [PERIOD] Batman is gifted [PERIOD] Batman is zealous [PERIOD] Batman is cooperative [PERIOD] Batman is vivacious [PERIOD] Batman is witty [PERIOD] Batman is anxious [PERIOD] Rules: stormy [AND] silly [AND] gleaming...
Proof chain: Cannot apply rule “intellectual ∧ average ⇒ unpleasant” because missing: intellectual. witty ∧ average ⇒ helpful helpful ⇒ perfect perfect ⇒ condemned witty ∧ average ⇒ helpful gifted ∧ helpful ⇒ muddy condemned ∧ different ∧ muddy ⇒ confused confused ∧ messy ⇒ silly Cannot apply...
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Facts: Batman is agreeable [PERIOD] Batman is modern [PERIOD] Batman is talkative [PERIOD] Batman is silly [PERIOD] Rules: silly [AND] courageous [AND] anxious [IMPLY] agreeable [PERIOD] naughty [AND] agreeable [IMPLY] joyous [PERIOD] talkative [IMPLY] loving [PERIOD] modern [IMPLY] naughty [PERIOD] lucky [AND] anxiou...
Proof chain: Cannot apply rule “broad-minded ∧ vivacious ⇒ clumsy” because missing: broad-minded, vivacious. modern ⇒ naughty naughty ⇒ adorable talkative ⇒ loving modern ⇒ naughty naughty ⇒ adorable loving ∧ adorable ⇒ attractive adorable ∧ agreeable ∧ attractive ⇒ busy Cannot apply rule “bu...
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Facts: Batman is careless [PERIOD] Batman is stormy [PERIOD] Batman is cute [PERIOD] Batman is rational [PERIOD] Batman is agreeable [PERIOD] Batman is distinct [PERIOD] Batman is uptight [PERIOD] Batman is weary [PERIOD] Batman is stupid [PERIOD] Rules: stormy [AND] disgusted [IMPLY] innocent [PERIOD] outstanding [AN...
Proof chain: careless ⇒ average uptight ⇒ polite careless ∧ polite ∧ distinct ⇒ amused distinct ⇒ precious amused ∧ precious ⇒ clumsy distinct ⇒ precious careless ∧ clumsy ∧ precious ⇒ elegant elegant ⇒ shy average ∧ shy ⇒ intellectual
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Facts: Batman is confused [PERIOD] Batman is mysterious [PERIOD] Batman is thoughtful [PERIOD] Batman is courageous [PERIOD] Rules: lucky [IMPLY] tired [PERIOD] dishonest [AND] curious [IMPLY] unpleasant [PERIOD] unpleasant [AND] tired [AND] average [IMPLY] aggressive [PERIOD] famous [IMPLY] sincere [PERIOD] tidy [AND...
Proof chain: mysterious ⇒ average average ⇒ homely mysterious ⇒ average mysterious ∧ average ⇒ aggressive confused ⇒ rude homely ∧ aggressive ∧ rude ⇒ dishonest dishonest ⇒ pessimistic mysterious ⇒ average pessimistic ∧ average ⇒ spotless
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Facts: Batman is inquisitive [PERIOD] Batman is gleaming [PERIOD] Batman is impatient [PERIOD] Batman is calm [PERIOD] Batman is beautiful [PERIOD] Rules: different [AND] impartial [IMPLY] gleaming [PERIOD] different [AND] ambitious [IMPLY] helpless [PERIOD] spotless [AND] gifted [AND] ambitious [IMPLY] inquisitive [P...
Proof chain: Cannot apply rule “innocent ∧ spotless ⇒ loving” because missing: innocent, spotless. Cannot apply rule “glamorous ∧ grumpy ⇒ loving” because missing: glamorous, grumpy. Cannot apply rule “grumpy ∧ enchanting ⇒ loving” because missing: grumpy, enchanting. Cannot apply rule “hypocritical ∧ embar...
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Facts: Rules: serious [AND] careless [AND] outstanding [IMPLY] smart [PERIOD] easy [AND] sensible [AND] fearless [IMPLY] stormy [PERIOD] fearless [AND] elated [AND] impartial [IMPLY] charming [PERIOD] charming [AND] outstanding [AND] serious [IMPLY] broad-minded [PERIOD] impartial [AND] stupid [IMPLY] wrong [PERIOD] c...
Proof chain: Cannot apply rule “serious ∧ careless ∧ outstanding ⇒ smart” because missing: serious, careless, outstanding. Cannot apply rule “elated ⇒ smart” because missing: elated. Cannot apply rule “unpleasant ∧ careless ∧ stupid ⇒ smart” because missing: unpleasant, careless, stupid. Cannot apply rule “...
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Facts: Batman is diplomatic [PERIOD] Rules: sincere [IMPLY] uptight [PERIOD] sincere [AND] cute [IMPLY] stupid [PERIOD] loving [AND] sensible [AND] serious [IMPLY] bad-tempered [PERIOD] cute [IMPLY] hilarious [PERIOD] frail [IMPLY] bad-tempered [PERIOD] tired [AND] bored [IMPLY] attentive [PERIOD] loving [IMPLY] diplo...
Proof chain: diplomatic ⇒ different different ⇒ serious diplomatic ⇒ different different ⇒ serious serious ⇒ bored serious ∧ bored ⇒ elated elated ⇒ bad-tempered bad-tempered ⇒ helpless helpless ⇒ uptight
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Facts: Batman is grumpy [PERIOD] Batman is pleasant [PERIOD] Rules: dull [IMPLY] wrong [PERIOD] wandering [AND] impartial [AND] pleasant [IMPLY] attractive [PERIOD] difficult [AND] grumpy [AND] dull [IMPLY] wrong [PERIOD] wrong [AND] impartial [IMPLY] dull [PERIOD] ugliest [AND] pleasant [IMPLY] tame [PERIOD] attracti...
Proof chain: grumpy ⇒ sincere sincere ⇒ fancy fancy ∧ grumpy ⇒ sleepy pleasant ⇒ wandering pleasant ⇒ wandering wandering ∧ pleasant ⇒ impartial wandering ∧ impartial ∧ pleasant ⇒ attractive sleepy ∧ attractive ⇒ ugliest ugliest ⇒ difficult
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Facts: Batman is smart [PERIOD] Batman is stormy [PERIOD] Rules: blushing [IMPLY] polite [PERIOD] frail [AND] troubled [IMPLY] polite [PERIOD] beautiful [AND] powerful [AND] distinct [IMPLY] hypocritical [PERIOD] condemned [AND] glamorous [AND] supportive [IMPLY] blushing [PERIOD] light [IMPLY] polite [PERIOD] scared ...
Proof chain: Cannot apply rule “serious ⇒ frail” because missing: serious. Cannot apply rule “serious ∧ homely ∧ troubled ⇒ frail” because missing: serious, homely, troubled. Cannot apply rule “naughty ∧ scared ∧ stormy ⇒ frail” because missing: naughty, scared. Cannot apply rule “naughty ⇒ frail” because m...
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Facts: Batman is glamorous [PERIOD] Batman is weary [PERIOD] Rules: curious [AND] condemned [IMPLY] selfish [PERIOD] weary [AND] enchanting [AND] glamorous [IMPLY] curious [PERIOD] loving [IMPLY] cruel [PERIOD] charming [AND] dull [IMPLY] light [PERIOD] glamorous [AND] cruel [IMPLY] fragile [PERIOD] courageous [AND] c...
Proof chain: Cannot apply rule “glamorous ∧ condemned ⇒ talkative” because missing: condemned. weary ⇒ sleepy Cannot apply rule “light ∧ sleepy ⇒ talkative” because missing: light. weary ⇒ sleepy sleepy ∧ glamorous ⇒ innocent glamorous ⇒ charming innocent ∧ charming ⇒ old-fashioned Cannot apply ...
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Facts: Batman is tame [PERIOD] Batman is confident [PERIOD] Rules: sensible [AND] famous [AND] tender [IMPLY] tame [PERIOD] tame [IMPLY] innocent [PERIOD] disgusted [AND] impatient [IMPLY] confident [PERIOD] innocent [AND] intellectual [IMPLY] talkative [PERIOD] impatient [AND] embarrassed [IMPLY] pleasant [PERIOD] di...
Proof chain: Cannot apply rule “embarrassed ⇒ silly” because missing: embarrassed. tame ⇒ innocent innocent ⇒ famous famous ⇒ impatient tame ⇒ innocent innocent ⇒ famous famous ⇒ impatient impatient ⇒ pleasant Cannot apply rule “impatient ∧ pleasant ∧ sensible ⇒ silly” because missing: sensib...
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Facts: Batman is victorious [PERIOD] Batman is spotless [PERIOD] Batman is elated [PERIOD] Batman is old-fashioned [PERIOD] Batman is comfortable [PERIOD] Batman is combative [PERIOD] Rules: glamorous [AND] joyous [IMPLY] wrong [PERIOD] worried [AND] glamorous [IMPLY] bright [PERIOD] confused [AND] bright [AND] bad-te...
Proof chain: comfortable ⇒ nervous nervous ⇒ different different ⇒ crowded crowded ⇒ bad-tempered comfortable ⇒ nervous nervous ⇒ different different ⇒ crowded crowded ⇒ glamorous comfortable ∧ bad-tempered ∧ glamorous ⇒ horrible
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Facts: Batman is uptight [PERIOD] Batman is homely [PERIOD] Batman is inquisitive [PERIOD] Rules: inquisitive [AND] witty [AND] polite [IMPLY] muddy [PERIOD] confident [IMPLY] diplomatic [PERIOD] tired [AND] muddy [IMPLY] lucky [PERIOD] old-fashioned [AND] diplomatic [AND] inquisitive [IMPLY] confident [PERIOD] proud ...
Proof chain: inquisitive ⇒ spotless homely ⇒ witty spotless ∧ witty ∧ uptight ⇒ serious inquisitive ⇒ spotless homely ⇒ witty spotless ∧ witty ∧ uptight ⇒ serious serious ⇒ enchanting enchanting ⇒ muddy serious ∧ uptight ∧ muddy ⇒ cooperative
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Facts: Batman is gorgeous [PERIOD] Batman is comfortable [PERIOD] Batman is bossy [PERIOD] Batman is plain [PERIOD] Rules: clean [AND] witty [AND] rational [IMPLY] condemned [PERIOD] clean [AND] famous [AND] condemned [IMPLY] supportive [PERIOD] pleasant [AND] enchanting [AND] diplomatic [IMPLY] disobedient [PERIOD] d...
Proof chain: bossy ⇒ supportive comfortable ⇒ condemned condemned ⇒ inquisitive bossy ⇒ supportive inquisitive ∧ supportive ⇒ clean clean ⇒ pleasant comfortable ∧ pleasant ∧ plain ⇒ attentive attentive ⇒ exuberant Cannot apply rule “supportive ∧ exuberant ∧ quaint ⇒ long” because missing: qua...
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Facts: Batman is comfortable [PERIOD] Batman is embarrassed [PERIOD] Batman is smart [PERIOD] Batman is messy [PERIOD] Batman is joyous [PERIOD] Batman is unpleasant [PERIOD] Rules: comfortable [AND] gifted [AND] lonely [IMPLY] confident [PERIOD] gifted [IMPLY] impartial [PERIOD] helpful [AND] dishonest [AND] messy [I...
Proof chain: smart ⇒ confident messy ⇒ weary weary ⇒ worried comfortable ⇒ famous smart ⇒ confident famous ∧ confident ∧ embarrassed ⇒ attentive worried ∧ attentive ⇒ outrageous Cannot apply rule “impartial ∧ confident ∧ outrageous ⇒ supportive” because missing: impartial. Cannot apply rule “...
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Facts: Batman is crowded [PERIOD] Batman is good [PERIOD] Rules: beautiful [AND] good [AND] anxious [IMPLY] combative [PERIOD] outrageous [AND] grumpy [IMPLY] excited [PERIOD] tense [AND] anxious [AND] frightened [IMPLY] outrageous [PERIOD] curious [AND] combative [IMPLY] tense [PERIOD] beautiful [AND] straightforward...
Proof chain: Cannot apply rule “beautiful ∧ straightforward ⇒ busy” because missing: beautiful, straightforward. Cannot apply rule “modern ⇒ busy” because missing: modern. Cannot apply rule “shiny ⇒ busy” because missing: shiny. crowded ⇒ frightened good ⇒ sensible frightened ∧ sensible ⇒ muddy Can...
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Facts: Batman is fancy [PERIOD] Rules: long [IMPLY] reserved [PERIOD] reserved [IMPLY] combative [PERIOD] cooperative [AND] long [IMPLY] reserved [PERIOD] impatient [AND] combative [AND] cooperative [IMPLY] reserved [PERIOD] cooperative [IMPLY] precious [PERIOD] reserved [AND] combative [AND] cooperative [IMPLY] preci...
Proof chain: Cannot apply rule “long ⇒ reserved” because missing: long. Cannot apply rule “cooperative ∧ long ⇒ reserved” because missing: cooperative, long. Cannot apply rule “impatient ∧ combative ∧ cooperative ⇒ reserved” because missing: impatient, combative, cooperative. fancy ⇒ precious Cannot appl...
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Facts: Batman is fragile [PERIOD] Batman is unpleasant [PERIOD] Batman is ambitious [PERIOD] Rules: worrisome [AND] ambitious [IMPLY] clumsy [PERIOD] clumsy [IMPLY] fancy [PERIOD] cute [IMPLY] grumpy [PERIOD] worrisome [AND] bored [IMPLY] comfortable [PERIOD] clumsy [IMPLY] impatient [PERIOD] comfortable [AND] preciou...
Proof chain: fragile ∧ unpleasant ⇒ precious fragile ∧ unpleasant ⇒ precious precious ⇒ impatient fragile ∧ unpleasant ⇒ precious impatient ∧ precious ⇒ adorable ambitious ∧ adorable ⇒ bored bored ⇒ worrisome worrisome ⇒ messy Cannot apply rule “hypocritical ∧ precious ∧ messy ⇒ tired” becaus...
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