Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is amused [PERIOD] Rules: amused [AND] light [AND] plain [IMPLY] tender [PERIOD] plain [IMPLY] tender [PERIOD] sincere [AND] light [AND] amused [IMPLY] plain [PERIOD] amused [AND] plain [AND] tender [IMPLY] sincere [PERIOD] amused [IMPLY] sincere [PERIOD] light [IMPLY] plain [PERIOD] sincere [AND] plain ...
Proof chain: amused ⇒ sincere Cannot apply rule “sincere ∧ light ∧ amused ⇒ plain” because missing: light. Cannot apply rule “light ⇒ plain” because missing: light. amused ⇒ sincere Cannot apply rule “sincere ∧ tender ∧ light ⇒ plain” because missing: tender, light.
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Facts: Batman is busy [PERIOD] Rules: frantic [AND] nervous [IMPLY] zealous [PERIOD] sensible [AND] mean [IMPLY] ugly [PERIOD] zealous [AND] busy [AND] talkative [IMPLY] ugly [PERIOD] ugly [AND] victorious [IMPLY] serious [PERIOD] victorious [AND] fancy [AND] nervous [IMPLY] amused [PERIOD] sensible [AND] mean [AND] s...
Proof chain: Cannot apply rule “ugly ∧ victorious ⇒ serious” because missing: ugly, victorious. Cannot apply rule “sensible ∧ mean ∧ stormy ⇒ serious” because missing: sensible, mean, stormy. busy ⇒ fancy Cannot apply rule “wandering ∧ fancy ∧ stormy ⇒ serious” because missing: wandering, stormy. Cannot ...
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Facts: Batman is broad-minded [PERIOD] Batman is modern [PERIOD] Batman is messy [PERIOD] Rules: calm [IMPLY] horrible [PERIOD] helpful [IMPLY] calm [PERIOD] gifted [AND] helpful [IMPLY] dishonest [PERIOD] modern [AND] messy [IMPLY] broad-minded [PERIOD] calm [AND] thoughtless [IMPLY] helpful [PERIOD] gifted [AND] mod...
Proof chain: messy ⇒ powerful powerful ⇒ comfortable messy ⇒ powerful powerful ⇒ gifted comfortable ∧ gifted ⇒ thoughtless
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Facts: Rules: serious [IMPLY] frantic [PERIOD] fearless [AND] homely [AND] tame [IMPLY] frantic [PERIOD] tame [IMPLY] frantic [PERIOD] frantic [IMPLY] tame [PERIOD] homely [IMPLY] tame [PERIOD] glamorous [IMPLY] serious [PERIOD] glamorous [AND] frantic [IMPLY] homely [PERIOD] frantic [AND] homely [AND] glamorous [IMPL...
Proof chain: Cannot apply rule “frantic ∧ homely ∧ glamorous ⇒ fearless” because missing: frantic, homely, glamorous. Cannot apply rule “homely ∧ glamorous ⇒ fearless” because missing: homely, glamorous. Cannot apply rule “homely ∧ serious ∧ tame ⇒ fearless” because missing: homely, serious, tame. Cannot ap...
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Facts: Batman is innocent [PERIOD] Rules: pessimistic [AND] fearless [AND] dull [IMPLY] innocent [PERIOD] crowded [AND] old-fashioned [IMPLY] fearless [PERIOD] crowded [AND] victorious [AND] stupid [IMPLY] fearless [PERIOD] innocent [AND] glamorous [IMPLY] victorious [PERIOD] dull [IMPLY] wide-eyed [PERIOD] crowded [I...
Proof chain: Cannot apply rule “crowded ⇒ popular” because missing: crowded. Cannot apply rule “glamorous ⇒ popular” because missing: glamorous. Cannot apply rule “crowded ∧ fearless ∧ innocent ⇒ popular” because missing: crowded, fearless. Cannot apply rule “pessimistic ∧ fearless ⇒ popular” because missin...
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Facts: Batman is charming [PERIOD] Batman is witty [PERIOD] Batman is dishonest [PERIOD] Batman is naughty [PERIOD] Rules: tired [AND] attentive [IMPLY] charming [PERIOD] sensible [AND] lucky [IMPLY] witty [PERIOD] curious [IMPLY] pessimistic [PERIOD] witty [AND] naughty [AND] tired [IMPLY] anxious [PERIOD] fragile [A...
Proof chain: charming ⇒ thoughtless charming ⇒ pleasant pleasant ⇒ anxious anxious ∧ dishonest ⇒ adorable charming ∧ thoughtless ∧ adorable ⇒ tired
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Facts: Batman is worried [PERIOD] Batman is difficult [PERIOD] Batman is outrageous [PERIOD] Batman is rude [PERIOD] Batman is embarrassed [PERIOD] Batman is good [PERIOD] Batman is unpleasant [PERIOD] Batman is courageous [PERIOD] Batman is disobedient [PERIOD] Batman is aggressive [PERIOD] Rules: aggressive [AND] co...
Proof chain: Cannot apply rule “vivacious ∧ elated ∧ good ⇒ confused” because missing: vivacious, elated. rude ∧ difficult ⇒ elegant courageous ∧ embarrassed ∧ unpleasant ⇒ excited outrageous ∧ elegant ∧ excited ⇒ mysterious Cannot apply rule “disobedient ∧ mysterious ∧ tense ⇒ confused” because missing:...
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Facts: Batman is stubborn [PERIOD] Batman is blushing [PERIOD] Batman is bored [PERIOD] Batman is jittery [PERIOD] Batman is nervous [PERIOD] Batman is outrageous [PERIOD] Batman is intellectual [PERIOD] Batman is helpless [PERIOD] Rules: mysterious [AND] busy [AND] pessimistic [IMPLY] proud [PERIOD] strange [AND] bos...
Proof chain: outrageous ∧ blushing ⇒ strange outrageous ⇒ pessimistic strange ∧ intellectual ∧ pessimistic ⇒ bad-tempered intellectual ⇒ hurt outrageous ∧ bad-tempered ∧ hurt ⇒ grumpy
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Facts: Batman is sensible [PERIOD] Batman is dishonest [PERIOD] Rules: mysterious [IMPLY] wide-eyed [PERIOD] frantic [IMPLY] frightened [PERIOD] distinct [IMPLY] attractive [PERIOD] supportive [AND] wide-eyed [AND] different [IMPLY] frightened [PERIOD] gleaming [AND] sensible [AND] distinct [IMPLY] careless [PERIOD] w...
Proof chain: Cannot apply rule “frantic ⇒ frightened” because missing: frantic. Cannot apply rule “supportive ∧ wide-eyed ∧ different ⇒ frightened” because missing: supportive, wide-eyed, different. Cannot apply rule “gleaming ∧ supportive ∧ distinct ⇒ frightened” because missing: gleaming, supportive, distinc...
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Facts: Batman is tender [PERIOD] Batman is fine [PERIOD] Batman is exuberant [PERIOD] Batman is clumsy [PERIOD] Batman is lucky [PERIOD] Batman is precious [PERIOD] Rules: frightened [AND] distinct [IMPLY] anxious [PERIOD] worried [AND] bad-tempered [IMPLY] impartial [PERIOD] confused [AND] clumsy [IMPLY] precious [PE...
Proof chain: precious ⇒ messy exuberant ⇒ lonely exuberant ∧ lonely ⇒ confused messy ∧ confused ⇒ bad-tempered bad-tempered ⇒ broad-minded
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Facts: Batman is modern [PERIOD] Rules: gifted [IMPLY] zealous [PERIOD] perfect [IMPLY] sensible [PERIOD] perfect [AND] joyous [AND] fearless [IMPLY] gifted [PERIOD] gorgeous [IMPLY] sensible [PERIOD] thoughtless [AND] zealous [AND] fearless [IMPLY] ugly [PERIOD] sensible [AND] modern [AND] quaint [IMPLY] joyous [PERI...
Proof chain: modern ⇒ gorgeous modern ⇒ gorgeous gorgeous ⇒ perfect perfect ⇒ thoughtless gorgeous ∧ modern ∧ thoughtless ⇒ quaint
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Facts: Batman is mysterious [PERIOD] Rules: perfect [IMPLY] diplomatic [PERIOD] diplomatic [IMPLY] helpless [PERIOD] diplomatic [AND] fearless [IMPLY] mysterious [PERIOD] diplomatic [AND] fearless [IMPLY] disgusted [PERIOD] perfect [AND] helpless [IMPLY] disgusted [PERIOD] mysterious [IMPLY] innocent [PERIOD] fearless...
Proof chain: mysterious ⇒ perfect perfect ⇒ diplomatic mysterious ⇒ perfect perfect ⇒ fearless diplomatic ∧ fearless ⇒ disgusted
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Facts: Batman is scared [PERIOD] Batman is tidy [PERIOD] Batman is quaint [PERIOD] Batman is pleasant [PERIOD] Batman is homely [PERIOD] Batman is broad-minded [PERIOD] Batman is loving [PERIOD] Batman is powerful [PERIOD] Batman is bright [PERIOD] Rules: shy [AND] loving [AND] straightforward [IMPLY] troubled [PERIOD...
Proof chain: loving ∧ homely ⇒ troubled troubled ⇒ tense loving ∧ pleasant ⇒ distinct tidy ∧ distinct ⇒ frightened tense ∧ frightened ⇒ adorable
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Facts: Batman is confident [PERIOD] Batman is anxious [PERIOD] Rules: anxious [AND] hurt [IMPLY] old-fashioned [PERIOD] modern [AND] anxious [IMPLY] combative [PERIOD] horrible [IMPLY] supportive [PERIOD] anxious [AND] hurt [IMPLY] precious [PERIOD] anxious [AND] dishonest [IMPLY] talented [PERIOD] hypocritical [IMPLY...
Proof chain: anxious ⇒ horrible anxious ⇒ horrible horrible ⇒ supportive supportive ⇒ average anxious ∧ horrible ∧ average ⇒ sincere
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Facts: Rules: ugly [IMPLY] smart [PERIOD] smart [AND] embarrassed [IMPLY] messy [PERIOD] strange [AND] witty [IMPLY] combative [PERIOD] light [AND] outrageous [AND] embarrassed [IMPLY] foolish [PERIOD] light [AND] messy [AND] beautiful [IMPLY] hilarious [PERIOD] outrageous [AND] messy [AND] average [IMPLY] embarrassed...
Proof chain: Cannot apply rule “combative ⇒ average” because missing: combative. Cannot apply rule “embarrassed ∧ outrageous ∧ inexpensive ⇒ average” because missing: embarrassed, outrageous, inexpensive. Cannot apply rule “long ∧ inexpensive ⇒ average” because missing: long, inexpensive. Cannot apply rule ...
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Facts: Batman is grumpy [PERIOD] Batman is fancy [PERIOD] Batman is cooperative [PERIOD] Batman is aggressive [PERIOD] Batman is pessimistic [PERIOD] Batman is elegant [PERIOD] Batman is plain [PERIOD] Batman is cute [PERIOD] Rules: tender [IMPLY] troubled [PERIOD] cooperative [AND] crowded [AND] agreeable [IMPLY] hil...
Proof chain: fancy ∧ pessimistic ∧ grumpy ⇒ jittery fancy ∧ pessimistic ∧ grumpy ⇒ jittery aggressive ∧ cooperative ⇒ modern jittery ∧ elegant ∧ modern ⇒ crowded jittery ∧ grumpy ∧ crowded ⇒ wide-eyed
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Facts: Batman is courageous [PERIOD] Batman is loving [PERIOD] Batman is cooperative [PERIOD] Batman is famous [PERIOD] Batman is embarrassed [PERIOD] Batman is exuberant [PERIOD] Batman is clumsy [PERIOD] Batman is difficult [PERIOD] Rules: difficult [IMPLY] beautiful [PERIOD] embarrassed [AND] combative [IMPLY] dipl...
Proof chain: courageous ∧ exuberant ⇒ nervous nervous ∧ cooperative ∧ embarrassed ⇒ zealous courageous ⇒ beautiful beautiful ∧ loving ⇒ pessimistic zealous ∧ pessimistic ⇒ frightened
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Facts: Batman is frantic [PERIOD] Batman is rational [PERIOD] Batman is vivacious [PERIOD] Batman is nervous [PERIOD] Batman is friendly [PERIOD] Rules: gifted [AND] hurt [AND] rational [IMPLY] quaint [PERIOD] courageous [IMPLY] old-fashioned [PERIOD] nervous [AND] gifted [AND] gleaming [IMPLY] hurt [PERIOD] silly [AN...
Proof chain: frantic ⇒ bright rational ⇒ grumpy nervous ∧ bright ∧ grumpy ⇒ tender frantic ⇒ difficult nervous ∧ tender ∧ difficult ⇒ bossy
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Facts: Batman is glamorous [PERIOD] Batman is embarrassed [PERIOD] Rules: sincere [AND] old-fashioned [AND] ugly [IMPLY] bad-tempered [PERIOD] tidy [AND] troubled [AND] glamorous [IMPLY] popular [PERIOD] troubled [AND] old-fashioned [AND] strange [IMPLY] distinct [PERIOD] thoughtful [AND] adorable [AND] distinct [IMPL...
Proof chain: embarrassed ⇒ distinct embarrassed ∧ distinct ⇒ ugly embarrassed ⇒ strange embarrassed ⇒ sincere ugly ∧ strange ∧ sincere ⇒ dishonest
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Facts: Batman is victorious [PERIOD] Rules: naughty [AND] tidy [IMPLY] inexpensive [PERIOD] victorious [AND] confident [IMPLY] hypocritical [PERIOD] hypocritical [IMPLY] confident [PERIOD] clumsy [IMPLY] cooperative [PERIOD] weary [AND] tidy [AND] inexpensive [IMPLY] lucky [PERIOD] bossy [AND] cooperative [IMPLY] conf...
Proof chain: Cannot apply rule “inexpensive ∧ lucky ∧ hypocritical ⇒ weary” because missing: inexpensive, lucky, hypocritical. Cannot apply rule “clumsy ⇒ weary” because missing: clumsy. victorious ⇒ tidy Cannot apply rule “cooperative ∧ tidy ∧ hypocritical ⇒ weary” because missing: cooperative, hypocritica...
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Facts: Batman is messy [PERIOD] Batman is confused [PERIOD] Batman is wrong [PERIOD] Batman is weary [PERIOD] Batman is gorgeous [PERIOD] Batman is horrible [PERIOD] Rules: gorgeous [IMPLY] messy [PERIOD] horrible [AND] courageous [IMPLY] troubled [PERIOD] impatient [AND] ugliest [IMPLY] troubled [PERIOD] horrible [AN...
Proof chain: messy ⇒ courageous confused ⇒ wide-eyed courageous ∧ messy ∧ wide-eyed ⇒ impatient messy ⇒ courageous wrong ∧ impatient ∧ courageous ⇒ clean
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Facts: Rules: impartial [AND] gleaming [IMPLY] muddy [PERIOD] fragile [IMPLY] sincere [PERIOD] fragile [AND] sincere [AND] muddy [IMPLY] fine [PERIOD] gleaming [AND] fine [AND] fragile [IMPLY] sincere [PERIOD] gleaming [IMPLY] impartial [PERIOD] impartial [AND] fragile [IMPLY] gleaming [PERIOD] impartial [AND] fine [I...
Proof chain: Cannot apply rule “impartial ∧ fragile ⇒ gleaming” because missing: impartial, fragile. Cannot apply rule “impartial ∧ fine ⇒ gleaming” because missing: impartial, fine. Cannot apply rule “sincere ⇒ gleaming” because missing: sincere. Cannot apply rule “fine ⇒ gleaming” because missing: fine. ...
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Facts: Rules: shiny [IMPLY] serious [PERIOD] grumpy [AND] serious [IMPLY] versatile [PERIOD] shiny [AND] versatile [AND] thoughtful [IMPLY] shy [PERIOD] stormy [AND] thoughtful [AND] versatile [IMPLY] shy [PERIOD] grumpy [IMPLY] inquisitive [PERIOD] inquisitive [AND] impatient [AND] versatile [IMPLY] frail [PERIOD] li...
Proof chain: Cannot apply rule “inquisitive ⇒ tame” because missing: inquisitive. Cannot apply rule “thoughtful ∧ stormy ∧ grumpy ⇒ tame” because missing: thoughtful, stormy, grumpy. Cannot apply rule “fancy ∧ frail ∧ impatient ⇒ tame” because missing: fancy, frail, impatient. Cannot apply rule “serious ⇒ t...
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Facts: Batman is wandering [PERIOD] Batman is rational [PERIOD] Batman is wrong [PERIOD] Batman is glamorous [PERIOD] Batman is distinct [PERIOD] Batman is popular [PERIOD] Rules: adorable [IMPLY] pessimistic [PERIOD] vivacious [AND] precious [IMPLY] silly [PERIOD] talkative [AND] careless [IMPLY] tidy [PERIOD] dishon...
Proof chain: Cannot apply rule “anxious ∧ ugly ∧ dishonest ⇒ vivacious” because missing: anxious, ugly, dishonest. Cannot apply rule “dishonest ∧ popular ⇒ vivacious” because missing: dishonest. Cannot apply rule “selfish ∧ adorable ⇒ vivacious” because missing: selfish, adorable. distinct ⇒ pessimistic ...
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Facts: Rules: plain [AND] blushing [IMPLY] disobedient [PERIOD] gifted [IMPLY] mean [PERIOD] blushing [AND] supportive [IMPLY] strange [PERIOD] careless [IMPLY] plain [PERIOD] careless [AND] talented [IMPLY] blushing [PERIOD] mean [AND] strange [IMPLY] careless [PERIOD] talented [AND] fine [AND] smart [IMPLY] mean [PE...
Proof chain: Cannot apply rule “mean ∧ strange ⇒ careless” because missing: mean, strange. Cannot apply rule “talented ∧ plain ⇒ careless” because missing: talented, plain. Cannot apply rule “disobedient ∧ glamorous ⇒ careless” because missing: disobedient, glamorous. Cannot apply rule “blushing ⇒ careless”...
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Facts: Rules: light [AND] naughty [IMPLY] intellectual [PERIOD] helpless [AND] exuberant [AND] intellectual [IMPLY] naughty [PERIOD] light [AND] exuberant [AND] naughty [IMPLY] intellectual [PERIOD] exuberant [IMPLY] naughty [PERIOD] light [IMPLY] naughty [PERIOD] light [AND] intellectual [IMPLY] exuberant [PERIOD] li...
Proof chain: Cannot apply rule “light ∧ naughty ⇒ intellectual” because missing: light, naughty. Cannot apply rule “light ∧ exuberant ∧ naughty ⇒ intellectual” because missing: light, exuberant, naughty. Cannot apply rule “helpless ∧ naughty ⇒ intellectual” because missing: helpless, naughty. Cannot apply r...
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Facts: Batman is cute [PERIOD] Batman is witty [PERIOD] Batman is tender [PERIOD] Batman is lucky [PERIOD] Batman is zealous [PERIOD] Batman is easy [PERIOD] Rules: zealous [AND] busy [IMPLY] bright [PERIOD] ambitious [AND] vivacious [AND] lucky [IMPLY] cute [PERIOD] ugly [AND] unpleasant [IMPLY] worrisome [PERIOD] lu...
Proof chain: witty ∧ cute ⇒ wrong cute ∧ lucky ⇒ worried worried ∧ witty ∧ easy ⇒ stormy wrong ∧ stormy ⇒ bright bright ⇒ alert
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Facts: Rules: ugliest [AND] thoughtful [IMPLY] exuberant [PERIOD] calm [AND] enchanting [IMPLY] thoughtful [PERIOD] different [AND] blushing [AND] calm [IMPLY] gorgeous [PERIOD] elated [AND] dull [AND] mysterious [IMPLY] confused [PERIOD] confused [AND] dull [IMPLY] mysterious [PERIOD] confused [AND] tidy [IMPLY] ugli...
Proof chain: Cannot apply rule “confused ∧ dull ⇒ mysterious” because missing: confused, dull. Cannot apply rule “confused ∧ elated ⇒ mysterious” because missing: confused, elated. Cannot apply rule “plain ∧ elated ⇒ mysterious” because missing: plain, elated. Cannot apply rule “impatient ∧ gorgeous ⇒ myste...
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Facts: Batman is popular [PERIOD] Batman is impartial [PERIOD] Batman is plain [PERIOD] Batman is foolish [PERIOD] Batman is dishonest [PERIOD] Batman is thoughtless [PERIOD] Batman is hilarious [PERIOD] Batman is strange [PERIOD] Batman is loving [PERIOD] Rules: messy [IMPLY] helpless [PERIOD] clean [AND] frightened ...
Proof chain: plain ∧ foolish ⇒ comfortable loving ⇒ easy plain ∧ foolish ⇒ comfortable easy ∧ comfortable ⇒ worried comfortable ∧ worried ∧ hilarious ⇒ powerful
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Facts: Batman is vivacious [PERIOD] Batman is loving [PERIOD] Rules: mysterious [AND] vivacious [AND] pleasant [IMPLY] loving [PERIOD] plain [AND] mysterious [AND] wandering [IMPLY] gorgeous [PERIOD] inquisitive [AND] loving [AND] stubborn [IMPLY] mysterious [PERIOD] inquisitive [AND] gorgeous [AND] stubborn [IMPLY] p...
Proof chain: loving ⇒ pleasant vivacious ∧ pleasant ⇒ wandering loving ⇒ pleasant pleasant ⇒ gorgeous loving ∧ wandering ∧ gorgeous ⇒ zealous
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Facts: Batman is ugly [PERIOD] Batman is frightened [PERIOD] Batman is precious [PERIOD] Batman is bad-tempered [PERIOD] Batman is grumpy [PERIOD] Batman is elegant [PERIOD] Batman is witty [PERIOD] Batman is bright [PERIOD] Batman is reserved [PERIOD] Rules: long [AND] selfish [AND] frightened [IMPLY] ugliest [PERIOD...
Proof chain: reserved ⇒ curious frightened ⇒ blushing frightened ⇒ dishonest blushing ∧ dishonest ⇒ inquisitive curious ∧ inquisitive ⇒ ambitious
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Facts: Batman is perfect [PERIOD] Batman is messy [PERIOD] Batman is supportive [PERIOD] Batman is crowded [PERIOD] Batman is modern [PERIOD] Batman is thoughtful [PERIOD] Batman is cute [PERIOD] Batman is sensible [PERIOD] Batman is cruel [PERIOD] Batman is combative [PERIOD] Batman is comfortable [PERIOD] Rules: wid...
Proof chain: perfect ∧ comfortable ⇒ loving thoughtful ∧ loving ∧ comfortable ⇒ pessimistic thoughtful ⇒ ugly messy ∧ ugly ∧ comfortable ⇒ thoughtless pessimistic ∧ thoughtless ∧ crowded ⇒ troubled
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Facts: Rules: stubborn [AND] spotless [AND] frightened [IMPLY] worried [PERIOD] fragile [AND] homely [AND] jittery [IMPLY] vivacious [PERIOD] careless [IMPLY] cruel [PERIOD] dishonest [AND] weary [AND] worried [IMPLY] precious [PERIOD] selfish [IMPLY] straightforward [PERIOD] jittery [AND] troubled [IMPLY] amused [PER...
Proof chain: Cannot apply rule “careless ⇒ cruel” because missing: careless. Cannot apply rule “grumpy ⇒ cruel” because missing: grumpy. Cannot apply rule “wrong ∧ ugly ⇒ cruel” because missing: wrong, ugly. Cannot apply rule “frightened ∧ selfish ∧ long ⇒ cruel” because missing: frightened, selfish, long. ...
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Facts: Rules: fragile [AND] modern [AND] ambitious [IMPLY] thoughtless [PERIOD] precious [AND] diplomatic [AND] talented [IMPLY] modern [PERIOD] distinct [AND] naughty [IMPLY] proud [PERIOD] naughty [AND] modern [AND] fragile [IMPLY] serious [PERIOD] pleasant [IMPLY] fragile [PERIOD] cruel [IMPLY] outstanding [PERIOD]...
Proof chain: Cannot apply rule “fragile ∧ modern ∧ ambitious ⇒ thoughtless” because missing: fragile, modern, ambitious. Cannot apply rule “aggressive ∧ curious ∧ adorable ⇒ thoughtless” because missing: aggressive, curious, adorable. Cannot apply rule “naughty ∧ talkative ∧ fragile ⇒ thoughtless” because miss...
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Facts: Batman is ugly [PERIOD] Rules: amused [AND] ugly [AND] tame [IMPLY] sincere [PERIOD] modern [IMPLY] thoughtful [PERIOD] amused [AND] versatile [IMPLY] modern [PERIOD] modern [AND] naughty [IMPLY] ugly [PERIOD] thoughtful [AND] amused [AND] sincere [IMPLY] popular [PERIOD] thoughtful [AND] gifted [AND] thoughtle...
Proof chain: Cannot apply rule “modern ∧ popular ⇒ naughty” because missing: modern, popular. Cannot apply rule “gifted ∧ popular ⇒ naughty” because missing: gifted, popular. Cannot apply rule “tame ⇒ naughty” because missing: tame. Cannot apply rule “joyous ∧ sincere ∧ blushing ⇒ naughty” because missing: ...
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Facts: Rules: disobedient [IMPLY] light [PERIOD] disobedient [AND] impartial [IMPLY] frightened [PERIOD] impartial [AND] pessimistic [IMPLY] disobedient [PERIOD] pessimistic [AND] disobedient [AND] light [IMPLY] impartial [PERIOD] frightened [AND] impartial [IMPLY] light [PERIOD] frightened [IMPLY] pessimistic [PERIOD...
Proof chain: Cannot apply rule “pessimistic ∧ disobedient ∧ light ⇒ impartial” because missing: pessimistic, disobedient, light. Cannot apply rule “frightened ∧ disobedient ⇒ impartial” because missing: frightened, disobedient. Cannot apply rule “pessimistic ∧ disobedient ⇒ impartial” because missing: pessimis...
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Facts: Batman is nervous [PERIOD] Batman is bright [PERIOD] Batman is light [PERIOD] Rules: naughty [IMPLY] grumpy [PERIOD] lucky [AND] tidy [AND] condemned [IMPLY] ambitious [PERIOD] reserved [AND] bright [AND] grumpy [IMPLY] ambitious [PERIOD] jittery [AND] tidy [IMPLY] grumpy [PERIOD] lucky [AND] bright [AND] impat...
Proof chain: Cannot apply rule “wrong ⇒ scared” because missing: wrong. Cannot apply rule “wandering ∧ nervous ∧ ambitious ⇒ scared” because missing: wandering, ambitious. Cannot apply rule “grumpy ⇒ scared” because missing: grumpy. Cannot apply rule “lucky ⇒ scared” because missing: lucky. Cannot apply ...
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Facts: Batman is light [PERIOD] Rules: light [IMPLY] cruel [PERIOD] cruel [AND] exuberant [IMPLY] elegant [PERIOD] fearless [IMPLY] disgusted [PERIOD] elated [AND] gleaming [AND] thoughtless [IMPLY] unpleasant [PERIOD] muddy [AND] dull [IMPLY] adorable [PERIOD] enchanting [AND] bored [AND] unpleasant [IMPLY] elegant [...
Proof chain: light ⇒ cruel Cannot apply rule “cruel ∧ tender ⇒ elated” because missing: tender. light ⇒ cruel Cannot apply rule “tender ∧ difficult ∧ cruel ⇒ elated” because missing: tender, difficult. Cannot apply rule “elegant ⇒ elated” because missing: elegant.
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Facts: Rules: good [AND] mean [AND] straightforward [IMPLY] confused [PERIOD] plain [AND] fine [AND] inexpensive [IMPLY] glamorous [PERIOD] shy [IMPLY] glamorous [PERIOD] embarrassed [AND] good [IMPLY] reserved [PERIOD] confused [AND] shy [IMPLY] shiny [PERIOD] shiny [AND] stormy [AND] plain [IMPLY] shy [PERIOD] good ...
Proof chain: Cannot apply rule “plain ∧ fine ∧ inexpensive ⇒ glamorous” because missing: plain, fine, inexpensive. Cannot apply rule “shy ⇒ glamorous” because missing: shy. Cannot apply rule “reserved ⇒ glamorous” because missing: reserved. Cannot apply rule “proud ∧ straightforward ∧ inexpensive ⇒ glamorou...
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Facts: Batman is shiny [PERIOD] Batman is straightforward [PERIOD] Batman is wrong [PERIOD] Batman is clean [PERIOD] Rules: mysterious [IMPLY] bored [PERIOD] modern [AND] talkative [IMPLY] jittery [PERIOD] talkative [AND] shiny [AND] impatient [IMPLY] jittery [PERIOD] unpleasant [IMPLY] sincere [PERIOD] excited [AND] ...
Proof chain: wrong ∧ straightforward ⇒ jittery jittery ⇒ talkative shiny ⇒ unpleasant unpleasant ⇒ modern talkative ∧ modern ∧ shiny ⇒ hypocritical
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Facts: Batman is messy [PERIOD] Rules: fancy [AND] nervous [IMPLY] shiny [PERIOD] sensible [AND] amused [IMPLY] bored [PERIOD] nervous [AND] confused [IMPLY] thoughtless [PERIOD] easy [AND] powerful [AND] sensible [IMPLY] amused [PERIOD] worrisome [AND] bored [IMPLY] sensible [PERIOD] diplomatic [AND] shiny [AND] elat...
Proof chain: Cannot apply rule “amused ∧ hypocritical ∧ messy ⇒ precious” because missing: amused, hypocritical. Cannot apply rule “powerful ⇒ precious” because missing: powerful. Cannot apply rule “diplomatic ∧ elated ⇒ precious” because missing: diplomatic, elated. Cannot apply rule “messy ∧ busy ∧ victor...
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Facts: Batman is fragile [PERIOD] Batman is thoughtful [PERIOD] Batman is hilarious [PERIOD] Batman is easy [PERIOD] Batman is cute [PERIOD] Batman is hypocritical [PERIOD] Batman is sincere [PERIOD] Batman is careless [PERIOD] Batman is troubled [PERIOD] Rules: hypocritical [AND] sincere [IMPLY] careless [PERIOD] hil...
Proof chain: careless ⇒ victorious fragile ⇒ mysterious mysterious ∧ thoughtful ∧ hilarious ⇒ confused Cannot apply rule “elegant ∧ victorious ∧ confused ⇒ talkative” because missing: elegant. Cannot apply rule “fragile ∧ light ⇒ talkative” because missing: light.
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Facts: Batman is disobedient [PERIOD] Batman is tired [PERIOD] Batman is supportive [PERIOD] Rules: confused [AND] aggressive [AND] famous [IMPLY] straightforward [PERIOD] clumsy [IMPLY] inquisitive [PERIOD] straightforward [AND] aggressive [IMPLY] clumsy [PERIOD] straightforward [IMPLY] uptight [PERIOD] famous [AND] ...
Proof chain: Cannot apply rule “clumsy ⇒ inquisitive” because missing: clumsy. Cannot apply rule “tired ∧ clumsy ⇒ inquisitive” because missing: clumsy. Cannot apply rule “disobedient ∧ uptight ∧ famous ⇒ inquisitive” because missing: uptight, famous. Cannot apply rule “uptight ⇒ inquisitive” because missin...
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5
Facts: Batman is scared [PERIOD] Batman is stormy [PERIOD] Batman is cruel [PERIOD] Rules: fancy [AND] stormy [AND] rational [IMPLY] cute [PERIOD] straightforward [IMPLY] bright [PERIOD] muddy [AND] fancy [IMPLY] fine [PERIOD] straightforward [IMPLY] modern [PERIOD] pessimistic [AND] charming [IMPLY] troubled [PERIOD]...
Proof chain: cruel ⇒ modern modern ⇒ victorious victorious ⇒ disobedient cruel ⇒ modern disobedient ∧ modern ⇒ alert
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Facts: Batman is attentive [PERIOD] Rules: thoughtful [IMPLY] agreeable [PERIOD] attentive [AND] perfect [AND] lonely [IMPLY] agreeable [PERIOD] thoughtful [AND] serious [IMPLY] lonely [PERIOD] agreeable [AND] lonely [IMPLY] thoughtful [PERIOD] agreeable [AND] serious [AND] lonely [IMPLY] thoughtful [PERIOD] attentive...
Proof chain: Cannot apply rule “agreeable ∧ lonely ⇒ thoughtful” because missing: agreeable, lonely. Cannot apply rule “agreeable ∧ serious ∧ lonely ⇒ thoughtful” because missing: agreeable, serious, lonely. Cannot apply rule “attentive ∧ lonely ⇒ thoughtful” because missing: lonely. Cannot apply rule “perf...
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5
Facts: Rules: talented [AND] wide-eyed [IMPLY] frightened [PERIOD] impatient [IMPLY] naughty [PERIOD] disgusted [AND] frightened [IMPLY] talented [PERIOD] frightened [AND] dishonest [AND] modern [IMPLY] disgusted [PERIOD] naughty [AND] impatient [IMPLY] tired [PERIOD] wide-eyed [AND] dishonest [AND] modern [IMPLY] cle...
Proof chain: Cannot apply rule “frightened ∧ dishonest ∧ modern ⇒ disgusted” because missing: frightened, dishonest, modern. Cannot apply rule “attentive ∧ clean ⇒ disgusted” because missing: attentive, clean. Cannot apply rule “talented ∧ frightened ⇒ disgusted” because missing: talented, frightened. Canno...
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Facts: Batman is aggressive [PERIOD] Batman is serious [PERIOD] Batman is lonely [PERIOD] Batman is loving [PERIOD] Rules: inexpensive [IMPLY] careless [PERIOD] aggressive [AND] sleepy [IMPLY] lonely [PERIOD] sleepy [AND] tame [AND] wrong [IMPLY] unpleasant [PERIOD] shy [AND] elegant [AND] lonely [IMPLY] loving [PERIO...
Proof chain: loving ⇒ tame tame ⇒ sleepy loving ⇒ tame loving ⇒ wrong sleepy ∧ tame ∧ wrong ⇒ unpleasant
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Facts: Batman is confident [PERIOD] Batman is distinct [PERIOD] Batman is bad-tempered [PERIOD] Batman is alert [PERIOD] Batman is polite [PERIOD] Batman is combative [PERIOD] Rules: impartial [AND] combative [IMPLY] polite [PERIOD] distinct [AND] frightened [AND] sensible [IMPLY] adorable [PERIOD] impartial [AND] ado...
Proof chain: combative ⇒ impartial confident ∧ impartial ⇒ charming combative ∧ bad-tempered ⇒ wrong charming ∧ wrong ⇒ strange strange ⇒ famous
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Facts: Rules: courageous [IMPLY] ambitious [PERIOD] muddy [IMPLY] innocent [PERIOD] tender [AND] victorious [AND] dull [IMPLY] weary [PERIOD] pleasant [AND] condemned [AND] innocent [IMPLY] old-fashioned [PERIOD] victorious [AND] courageous [AND] dull [IMPLY] weary [PERIOD] weary [AND] ambitious [AND] busy [IMPLY] cle...
Proof chain: Cannot apply rule “clean ∧ cooperative ⇒ condemned” because missing: clean, cooperative. Cannot apply rule “weary ∧ muddy ⇒ condemned” because missing: weary, muddy. Cannot apply rule “old-fashioned ∧ gorgeous ⇒ condemned” because missing: old-fashioned, gorgeous. Cannot apply rule “hilarious ⇒...
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5
Facts: Batman is pessimistic [PERIOD] Batman is easy [PERIOD] Rules: muddy [IMPLY] wide-eyed [PERIOD] shiny [AND] messy [AND] condemned [IMPLY] muddy [PERIOD] witty [AND] gifted [AND] easy [IMPLY] vivacious [PERIOD] fine [IMPLY] vivacious [PERIOD] helpless [IMPLY] attentive [PERIOD] anxious [AND] ugly [AND] wide-eyed ...
Proof chain: pessimistic ⇒ courageous pessimistic ⇒ messy messy ⇒ witty courageous ∧ witty ⇒ difficult pessimistic ∧ difficult ⇒ condemned
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Facts: Batman is hilarious [PERIOD] Batman is embarrassed [PERIOD] Rules: lucky [IMPLY] fancy [PERIOD] wide-eyed [IMPLY] uptight [PERIOD] hilarious [AND] enchanting [IMPLY] lucky [PERIOD] ugly [IMPLY] light [PERIOD] cooperative [AND] worried [IMPLY] unpleasant [PERIOD] light [AND] distinct [AND] unpleasant [IMPLY] wor...
Proof chain: Cannot apply rule “jittery ⇒ hurt” because missing: jittery. Cannot apply rule “muddy ⇒ hurt” because missing: muddy. hilarious ⇒ distinct embarrassed ⇒ worried Cannot apply rule “distinct ∧ worried ∧ courageous ⇒ hurt” because missing: courageous.
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Facts: Rules: attractive [AND] nervous [AND] worried [IMPLY] jittery [PERIOD] nervous [AND] worried [AND] attractive [IMPLY] inexpensive [PERIOD] nervous [AND] inexpensive [AND] worried [IMPLY] attractive [PERIOD] worried [IMPLY] attractive [PERIOD] jittery [IMPLY] worried [PERIOD] nervous [IMPLY] inexpensive [PERIOD]...
Proof chain: Cannot apply rule “nervous ∧ worried ∧ attractive ⇒ inexpensive” because missing: nervous, worried, attractive. Cannot apply rule “nervous ⇒ inexpensive” because missing: nervous. Cannot apply rule “jittery ∧ worried ⇒ inexpensive” because missing: jittery, worried. Cannot apply rule “attractiv...
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Facts: Batman is combative [PERIOD] Batman is difficult [PERIOD] Batman is innocent [PERIOD] Rules: shiny [AND] combative [AND] different [IMPLY] weary [PERIOD] joyous [IMPLY] pessimistic [PERIOD] shy [AND] shiny [IMPLY] frantic [PERIOD] versatile [AND] joyous [AND] shiny [IMPLY] different [PERIOD] shiny [IMPLY] weary...
Proof chain: difficult ⇒ shy Cannot apply rule “shy ∧ shiny ⇒ frantic” because missing: shiny. combative ⇒ versatile difficult ⇒ inquisitive Cannot apply rule “vivacious ∧ versatile ∧ inquisitive ⇒ frantic” because missing: vivacious.
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Facts: Rules: wrong [IMPLY] nervous [PERIOD] wrong [AND] curious [AND] nervous [IMPLY] troubled [PERIOD] curious [AND] nervous [AND] troubled [IMPLY] disgusted [PERIOD] thoughtless [AND] curious [AND] troubled [IMPLY] disgusted [PERIOD] thoughtless [AND] troubled [IMPLY] nervous [PERIOD] curious [IMPLY] troubled [PERI...
Proof chain: Cannot apply rule “disgusted ∧ nervous ⇒ wrong” because missing: disgusted, nervous. Cannot apply rule “thoughtless ∧ curious ⇒ wrong” because missing: thoughtless, curious. Cannot apply rule “curious ⇒ wrong” because missing: curious. Cannot apply rule “nervous ⇒ wrong” because missing: nervou...
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Facts: Batman is helpless [PERIOD] Rules: tired [AND] dull [IMPLY] pessimistic [PERIOD] helpless [AND] cooperative [IMPLY] tired [PERIOD] pessimistic [AND] straightforward [AND] broad-minded [IMPLY] helpless [PERIOD] worrisome [IMPLY] dishonest [PERIOD] worrisome [IMPLY] adorable [PERIOD] straightforward [AND] wrong [...
Proof chain: Cannot apply rule “adorable ∧ cooperative ⇒ messy” because missing: adorable, cooperative. Cannot apply rule “disgusted ∧ horrible ∧ broad-minded ⇒ messy” because missing: disgusted, horrible, broad-minded. Cannot apply rule “tired ∧ curious ⇒ messy” because missing: tired, curious. Cannot appl...
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Facts: Rules: spotless [IMPLY] confident [PERIOD] cooperative [AND] stubborn [AND] tame [IMPLY] spotless [PERIOD] embarrassed [AND] different [IMPLY] spotless [PERIOD] easy [AND] lonely [IMPLY] tame [PERIOD] adorable [AND] amused [IMPLY] pessimistic [PERIOD] embarrassed [AND] lonely [IMPLY] amused [PERIOD] zealous [IM...
Proof chain: Cannot apply rule “easy ⇒ elated” because missing: easy. Cannot apply rule “supportive ⇒ elated” because missing: supportive. Cannot apply rule “amused ∧ confident ⇒ elated” because missing: amused, confident. Cannot apply rule “embarrassed ⇒ elated” because missing: embarrassed. Cannot appl...
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Facts: Rules: perfect [AND] good [IMPLY] silly [PERIOD] pleasant [IMPLY] silly [PERIOD] good [IMPLY] worrisome [PERIOD] perfect [IMPLY] good [PERIOD] good [AND] worrisome [AND] perfect [IMPLY] crowded [PERIOD] perfect [IMPLY] worrisome [PERIOD] crowded [AND] silly [IMPLY] worrisome [PERIOD] crowded [AND] worrisome [IM...
Proof chain: Cannot apply rule “perfect ⇒ good” because missing: perfect. Cannot apply rule “crowded ∧ worrisome ⇒ good” because missing: crowded, worrisome. Cannot apply rule “pleasant ∧ crowded ⇒ good” because missing: pleasant, crowded. Cannot apply rule “silly ⇒ good” because missing: silly. Cannot a...
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Facts: Batman is ambitious [PERIOD] Rules: impatient [AND] courageous [AND] worrisome [IMPLY] versatile [PERIOD] versatile [IMPLY] loving [PERIOD] versatile [AND] impatient [IMPLY] tame [PERIOD] courageous [AND] tired [IMPLY] enchanting [PERIOD] worrisome [AND] loving [IMPLY] combative [PERIOD] enchanting [AND] gifted...
Proof chain: ambitious ⇒ joyous joyous ⇒ bright bright ⇒ versatile versatile ⇒ loving loving ⇒ courageous
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Facts: Rules: nervous [AND] thoughtful [IMPLY] comfortable [PERIOD] innocent [AND] plain [IMPLY] beautiful [PERIOD] friendly [AND] sleepy [IMPLY] beautiful [PERIOD] charming [AND] pleasant [IMPLY] tired [PERIOD] innocent [AND] weary [IMPLY] shy [PERIOD] tired [IMPLY] weary [PERIOD] comfortable [AND] tense [AND] though...
Proof chain: Cannot apply rule “plain ⇒ nervous” because missing: plain. Cannot apply rule “pleasant ∧ curious ∧ sleepy ⇒ nervous” because missing: pleasant, curious, sleepy. Cannot apply rule “clean ⇒ nervous” because missing: clean. Cannot apply rule “beautiful ∧ foolish ∧ disgusted ⇒ nervous” because mis...
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Facts: Batman is rude [PERIOD] Rules: straightforward [AND] rude [AND] shiny [IMPLY] dull [PERIOD] dull [IMPLY] shiny [PERIOD] dull [AND] shiny [IMPLY] aggressive [PERIOD] aggressive [AND] rude [IMPLY] straightforward [PERIOD] rude [AND] straightforward [IMPLY] aggressive [PERIOD] fragile [AND] dull [AND] aggressive [...
Proof chain: Cannot apply rule “dull ⇒ shiny” because missing: dull. Cannot apply rule “rude ∧ fragile ∧ straightforward ⇒ shiny” because missing: fragile, straightforward. Cannot apply rule “scared ∧ straightforward ⇒ shiny” because missing: scared, straightforward. Cannot apply rule “fragile ∧ dull ∧ aggr...
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Facts: Batman is good [PERIOD] Rules: rational [AND] ugly [IMPLY] joyous [PERIOD] sensible [AND] worrisome [IMPLY] embarrassed [PERIOD] serious [AND] famous [IMPLY] busy [PERIOD] worrisome [AND] ugly [IMPLY] rational [PERIOD] good [AND] rational [AND] worrisome [IMPLY] joyous [PERIOD] busy [AND] rational [IMPLY] attra...
Proof chain: good ⇒ joyous joyous ∧ good ⇒ famous famous ∧ good ⇒ ugly ugly ⇒ worrisome worrisome ⇒ attractive
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Facts: Batman is agreeable [PERIOD] Batman is diplomatic [PERIOD] Batman is ugly [PERIOD] Batman is bright [PERIOD] Batman is scared [PERIOD] Batman is messy [PERIOD] Batman is mysterious [PERIOD] Batman is quaint [PERIOD] Batman is tame [PERIOD] Batman is careless [PERIOD] Batman is rational [PERIOD] Batman is exuber...
Proof chain: mysterious ⇒ sensible agreeable ⇒ gifted gifted ⇒ famous famous ∧ careless ⇒ grumpy sensible ∧ grumpy ⇒ excited
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Facts: Batman is different [PERIOD] Batman is perfect [PERIOD] Batman is thoughtful [PERIOD] Batman is sincere [PERIOD] Batman is rude [PERIOD] Batman is thoughtless [PERIOD] Batman is scared [PERIOD] Batman is horrible [PERIOD] Rules: modern [AND] diplomatic [AND] sincere [IMPLY] disgusted [PERIOD] diplomatic [AND] m...
Proof chain: different ⇒ disgusted different ⇒ disobedient scared ∧ disobedient ⇒ muddy sincere ⇒ messy disgusted ∧ muddy ∧ messy ⇒ powerful
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Facts: Batman is wrong [PERIOD] Batman is tidy [PERIOD] Rules: tidy [IMPLY] witty [PERIOD] bored [AND] outrageous [AND] witty [IMPLY] serious [PERIOD] confused [AND] mysterious [IMPLY] perfect [PERIOD] gleaming [AND] helpful [IMPLY] serious [PERIOD] witty [IMPLY] confused [PERIOD] hurt [IMPLY] tidy [PERIOD] perfect [A...
Proof chain: tidy ⇒ gleaming gleaming ⇒ confused Cannot apply rule “serious ∧ confused ⇒ helpful” because missing: serious. Cannot apply rule “wrong ∧ serious ∧ anxious ⇒ helpful” because missing: serious, anxious. Cannot apply rule “wrong ∧ hurt ⇒ helpful” because missing: hurt.
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Facts: Rules: frail [AND] busy [AND] good [IMPLY] worried [PERIOD] frail [AND] grumpy [IMPLY] shiny [PERIOD] glamorous [IMPLY] confused [PERIOD] easy [AND] scared [IMPLY] worried [PERIOD] crowded [IMPLY] tame [PERIOD] crowded [AND] dishonest [IMPLY] thoughtless [PERIOD] shiny [AND] zealous [IMPLY] thoughtless [PERIOD]...
Proof chain: Cannot apply rule “frail ∧ grumpy ⇒ shiny” because missing: frail, grumpy. Cannot apply rule “amused ∧ versatile ⇒ shiny” because missing: amused, versatile. Cannot apply rule “joyous ⇒ shiny” because missing: joyous. Cannot apply rule “worried ⇒ shiny” because missing: worried. Cannot apply...
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Facts: Rules: ugliest [AND] frantic [IMPLY] broad-minded [PERIOD] ugliest [AND] intellectual [IMPLY] easy [PERIOD] broad-minded [AND] frantic [IMPLY] charming [PERIOD] gleaming [AND] weary [AND] courageous [IMPLY] charming [PERIOD] intellectual [IMPLY] gleaming [PERIOD] courageous [AND] charming [IMPLY] gleaming [PERI...
Proof chain: Cannot apply rule “ugliest ∧ intellectual ⇒ easy” because missing: ugliest, intellectual. Cannot apply rule “charming ∧ inexpensive ⇒ easy” because missing: charming, inexpensive. Cannot apply rule “reserved ⇒ easy” because missing: reserved. Cannot apply rule “intellectual ∧ reserved ⇒ easy” b...
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Facts: Rules: friendly [AND] exuberant [AND] stormy [IMPLY] attractive [PERIOD] zealous [IMPLY] diplomatic [PERIOD] diplomatic [IMPLY] friendly [PERIOD] stormy [AND] worrisome [AND] exuberant [IMPLY] attractive [PERIOD] talented [IMPLY] stormy [PERIOD] stormy [IMPLY] worrisome [PERIOD] anxious [AND] zealous [AND] attr...
Proof chain: Cannot apply rule “stormy ⇒ worrisome” because missing: stormy. Cannot apply rule “friendly ⇒ worrisome” because missing: friendly. Cannot apply rule “impartial ∧ talented ⇒ worrisome” because missing: impartial, talented. Cannot apply rule “scared ∧ zealous ∧ impartial ⇒ worrisome” because mis...
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Facts: Batman is crowded [PERIOD] Batman is strange [PERIOD] Batman is outrageous [PERIOD] Batman is innocent [PERIOD] Batman is confused [PERIOD] Batman is different [PERIOD] Batman is attractive [PERIOD] Batman is loving [PERIOD] Rules: strange [AND] ugliest [AND] stubborn [IMPLY] attractive [PERIOD] attractive [AND...
Proof chain: attractive ∧ different ⇒ thoughtless different ⇒ stubborn thoughtless ∧ strange ∧ stubborn ⇒ outstanding confused ⇒ ugliest outstanding ∧ ugliest ⇒ wide-eyed
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Facts: Batman is sensible [PERIOD] Batman is outrageous [PERIOD] Rules: hurt [IMPLY] outrageous [PERIOD] helpless [IMPLY] sensible [PERIOD] hurt [IMPLY] elated [PERIOD] elated [AND] hurt [AND] confused [IMPLY] excited [PERIOD] hurt [AND] helpless [AND] confused [IMPLY] elated [PERIOD] excited [AND] confused [IMPLY] se...
Proof chain: outrageous ∧ sensible ⇒ excited excited ⇒ helpless outrageous ∧ sensible ⇒ excited helpless ∧ excited ⇒ elated elated ⇒ hurt
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Facts: Batman is modern [PERIOD] Rules: clean [AND] strange [IMPLY] troubled [PERIOD] troubled [AND] talkative [IMPLY] pleasant [PERIOD] troubled [AND] busy [AND] tame [IMPLY] reserved [PERIOD] mean [AND] hurt [AND] light [IMPLY] fearless [PERIOD] reserved [AND] weary [AND] mean [IMPLY] popular [PERIOD] witty [AND] pl...
Proof chain: Cannot apply rule “strange ∧ elegant ⇒ jittery” because missing: strange, elegant. Cannot apply rule “troubled ⇒ jittery” because missing: troubled. Cannot apply rule “famous ∧ weary ⇒ jittery” because missing: famous, weary. Cannot apply rule “tame ∧ hurt ∧ troubled ⇒ jittery” because missing:...
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Facts: Batman is lucky [PERIOD] Batman is wide-eyed [PERIOD] Batman is average [PERIOD] Batman is loving [PERIOD] Batman is tame [PERIOD] Batman is cruel [PERIOD] Batman is comfortable [PERIOD] Batman is confused [PERIOD] Batman is impartial [PERIOD] Batman is strange [PERIOD] Batman is jittery [PERIOD] Batman is witt...
Proof chain: impartial ∧ strange ∧ loving ⇒ elegant impartial ∧ strange ∧ loving ⇒ elegant elegant ∧ average ⇒ ugly Cannot apply rule “elegant ∧ ugly ∧ exuberant ⇒ light” because missing: exuberant. Cannot apply rule “strange ∧ loving ∧ condemned ⇒ light” because missing: condemned.
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Facts: Rules: gleaming [AND] messy [AND] pleasant [IMPLY] charming [PERIOD] alert [IMPLY] mean [PERIOD] rational [IMPLY] sleepy [PERIOD] dull [IMPLY] messy [PERIOD] horrible [AND] charming [AND] lucky [IMPLY] zealous [PERIOD] alert [IMPLY] lonely [PERIOD] plain [AND] impatient [AND] messy [IMPLY] old-fashioned [PERIOD...
Proof chain: Cannot apply rule “charming ∧ lonely ⇒ fearless” because missing: charming, lonely. Cannot apply rule “dull ⇒ fearless” because missing: dull. Cannot apply rule “ambitious ∧ messy ∧ old-fashioned ⇒ fearless” because missing: ambitious, messy, old-fashioned. Cannot apply rule “horrible ⇒ fearles...
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Facts: Rules: average [IMPLY] homely [PERIOD] stubborn [AND] average [IMPLY] stormy [PERIOD] stubborn [AND] glamorous [AND] average [IMPLY] bad-tempered [PERIOD] rude [AND] broad-minded [AND] average [IMPLY] different [PERIOD] bad-tempered [AND] thoughtful [IMPLY] charming [PERIOD] different [IMPLY] glamorous [PERIOD]...
Proof chain: Cannot apply rule “stubborn ∧ glamorous ∧ average ⇒ bad-tempered” because missing: stubborn, glamorous, average. Cannot apply rule “embarrassed ∧ aggressive ∧ reserved ⇒ bad-tempered” because missing: embarrassed, aggressive, reserved. Cannot apply rule “ugliest ∧ hurt ∧ thoughtful ⇒ bad-tempered”...
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Facts: Batman is shiny [PERIOD] Batman is famous [PERIOD] Batman is foolish [PERIOD] Batman is bright [PERIOD] Rules: stubborn [IMPLY] distinct [PERIOD] loving [AND] easy [AND] blushing [IMPLY] quaint [PERIOD] quaint [IMPLY] crowded [PERIOD] easy [AND] courageous [AND] quaint [IMPLY] foolish [PERIOD] foolish [AND] luc...
Proof chain: famous ⇒ crowded crowded ⇒ stubborn stubborn ⇒ distinct distinct ⇒ witty foolish ∧ witty ⇒ blushing
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Facts: Batman is tidy [PERIOD] Rules: attentive [AND] hurt [IMPLY] worrisome [PERIOD] bright [AND] tidy [AND] hilarious [IMPLY] sincere [PERIOD] attentive [IMPLY] sleepy [PERIOD] tidy [AND] attentive [AND] difficult [IMPLY] sincere [PERIOD] tidy [AND] difficult [IMPLY] sincere [PERIOD] naughty [AND] bright [IMPLY] sle...
Proof chain: Cannot apply rule “bright ∧ tidy ∧ hilarious ⇒ sincere” because missing: bright, hilarious. Cannot apply rule “tidy ∧ attentive ∧ difficult ⇒ sincere” because missing: attentive, difficult. Cannot apply rule “tidy ∧ difficult ⇒ sincere” because missing: difficult. Cannot apply rule “bright ⇒ si...
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Facts: Rules: charming [AND] innocent [AND] worrisome [IMPLY] sincere [PERIOD] fancy [AND] worrisome [IMPLY] unpleasant [PERIOD] fearless [AND] charming [IMPLY] unpleasant [PERIOD] perfect [AND] fancy [AND] charming [IMPLY] foolish [PERIOD] foolish [IMPLY] perfect [PERIOD] inexpensive [IMPLY] frail [PERIOD] fearless [...
Proof chain: Cannot apply rule “perfect ∧ frail ⇒ inexpensive” because missing: perfect, frail. Cannot apply rule “loving ⇒ inexpensive” because missing: loving. Cannot apply rule “loving ∧ perfect ⇒ inexpensive” because missing: loving, perfect. Cannot apply rule “worrisome ∧ perfect ⇒ inexpensive” because...
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Facts: Batman is dishonest [PERIOD] Batman is powerful [PERIOD] Rules: elated [AND] bored [IMPLY] thoughtless [PERIOD] tender [AND] naughty [IMPLY] jittery [PERIOD] adorable [IMPLY] rude [PERIOD] gleaming [AND] naughty [IMPLY] cruel [PERIOD] elated [IMPLY] rude [PERIOD] thoughtless [AND] powerful [IMPLY] rude [PERIOD]...
Proof chain: dishonest ⇒ condemned condemned ⇒ rude rude ⇒ thoughtless thoughtless ⇒ tender tender ⇒ homely
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Facts: Batman is unpleasant [PERIOD] Batman is disgusted [PERIOD] Batman is innocent [PERIOD] Batman is bossy [PERIOD] Rules: beautiful [AND] disgusted [AND] inquisitive [IMPLY] enchanting [PERIOD] cooperative [AND] witty [AND] unpleasant [IMPLY] careless [PERIOD] fancy [AND] frantic [AND] strange [IMPLY] thoughtless ...
Proof chain: unpleasant ∧ innocent ⇒ attentive attentive ⇒ impatient impatient ⇒ disobedient disobedient ∧ disgusted ⇒ enchanting enchanting ⇒ frantic
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Facts: Batman is attentive [PERIOD] Rules: ambitious [IMPLY] smart [PERIOD] inexpensive [IMPLY] smart [PERIOD] clumsy [IMPLY] thoughtless [PERIOD] attentive [IMPLY] thoughtless [PERIOD] thoughtless [AND] smart [AND] uptight [IMPLY] inexpensive [PERIOD] uptight [IMPLY] ambitious [PERIOD] thoughtless [AND] inexpensive [...
Proof chain: Cannot apply rule “uptight ⇒ ambitious” because missing: uptight. Cannot apply rule “uptight ∧ smart ⇒ ambitious” because missing: uptight, smart. Cannot apply rule “inexpensive ⇒ ambitious” because missing: inexpensive. attentive ⇒ thoughtless Cannot apply rule “thoughtless ∧ smart ⇒ ambiti...
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Facts: Rules: wide-eyed [AND] excited [AND] comfortable [IMPLY] exuberant [PERIOD] excited [AND] comfortable [IMPLY] wide-eyed [PERIOD] wide-eyed [IMPLY] exuberant [PERIOD] wide-eyed [AND] stubborn [AND] excited [IMPLY] comfortable [PERIOD] wide-eyed [AND] comfortable [IMPLY] stubborn [PERIOD] stubborn [IMPLY] comfort...
Proof chain: Cannot apply rule “wide-eyed ∧ comfortable ⇒ stubborn” because missing: wide-eyed, comfortable. Cannot apply rule “excited ∧ exuberant ⇒ stubborn” because missing: excited, exuberant. Cannot apply rule “exuberant ⇒ stubborn” because missing: exuberant. Cannot apply rule “comfortable ⇒ stubborn”...
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Facts: Batman is bossy [PERIOD] Batman is lucky [PERIOD] Batman is courageous [PERIOD] Rules: charming [AND] bossy [AND] mysterious [IMPLY] lucky [PERIOD] courageous [AND] helpful [AND] ugliest [IMPLY] intellectual [PERIOD] sincere [AND] bossy [IMPLY] unpleasant [PERIOD] bossy [AND] lucky [IMPLY] fearless [PERIOD] sin...
Proof chain: bossy ∧ lucky ⇒ fearless courageous ⇒ serious courageous ⇒ ugliest fearless ∧ serious ∧ ugliest ⇒ clumsy clumsy ∧ courageous ⇒ wandering
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Facts: Batman is smart [PERIOD] Batman is jittery [PERIOD] Batman is inquisitive [PERIOD] Rules: plain [IMPLY] stubborn [PERIOD] intellectual [AND] tense [AND] comfortable [IMPLY] witty [PERIOD] plain [AND] tense [AND] bad-tempered [IMPLY] unpleasant [PERIOD] tense [AND] stubborn [AND] confused [IMPLY] inquisitive [PE...
Proof chain: smart ⇒ intellectual Cannot apply rule “intellectual ∧ tense ∧ comfortable ⇒ witty” because missing: tense, comfortable. Cannot apply rule “tense ∧ uptight ∧ fancy ⇒ witty” because missing: tense, uptight, fancy. Cannot apply rule “stubborn ⇒ witty” because missing: stubborn. Cannot apply ru...
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Facts: Batman is bored [PERIOD] Batman is jittery [PERIOD] Batman is famous [PERIOD] Rules: bored [AND] famous [IMPLY] sleepy [PERIOD] tender [AND] different [IMPLY] gorgeous [PERIOD] bored [AND] jittery [IMPLY] popular [PERIOD] jittery [AND] famous [IMPLY] popular [PERIOD] tender [AND] popular [AND] sleepy [IMPLY] di...
Proof chain: bored ∧ jittery ⇒ popular jittery ∧ popular ⇒ tender bored ∧ famous ⇒ sleepy sleepy ∧ famous ∧ jittery ⇒ different tender ∧ different ⇒ gorgeous
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Facts: Rules: disobedient [AND] bright [AND] rude [IMPLY] sleepy [PERIOD] hilarious [IMPLY] confused [PERIOD] bright [IMPLY] straightforward [PERIOD] stormy [AND] rude [IMPLY] confused [PERIOD] pessimistic [AND] wandering [AND] hilarious [IMPLY] confused [PERIOD] curious [IMPLY] calm [PERIOD] disobedient [AND] rude [I...
Proof chain: Cannot apply rule “wandering ∧ calm ⇒ stormy” because missing: wandering, calm. Cannot apply rule “straightforward ∧ famous ⇒ stormy” because missing: straightforward, famous. Cannot apply rule “sleepy ∧ famous ∧ confused ⇒ stormy” because missing: sleepy, famous, confused. Cannot apply rule “c...
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5
Facts: Batman is pleasant [PERIOD] Batman is curious [PERIOD] Batman is clean [PERIOD] Batman is careless [PERIOD] Batman is talented [PERIOD] Batman is frantic [PERIOD] Batman is combative [PERIOD] Batman is hypocritical [PERIOD] Rules: disgusted [AND] pleasant [AND] frantic [IMPLY] talented [PERIOD] tidy [AND] hypoc...
Proof chain: frantic ⇒ mysterious combative ∧ frantic ⇒ aggressive combative ∧ talented ⇒ tidy mysterious ∧ aggressive ∧ tidy ⇒ difficult difficult ⇒ wrong
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Facts: Batman is diplomatic [PERIOD] Rules: bossy [AND] cruel [IMPLY] zealous [PERIOD] joyous [IMPLY] gleaming [PERIOD] stubborn [AND] sleepy [IMPLY] gleaming [PERIOD] gleaming [AND] talkative [AND] fragile [IMPLY] sleepy [PERIOD] impatient [IMPLY] diplomatic [PERIOD] quaint [IMPLY] diplomatic [PERIOD] quaint [AND] ba...
Proof chain: diplomatic ⇒ talkative talkative ⇒ cruel cruel ⇒ impatient impatient ⇒ difficult difficult ∧ diplomatic ⇒ joyous
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Facts: Batman is careless [PERIOD] Batman is versatile [PERIOD] Batman is gorgeous [PERIOD] Rules: nervous [AND] talented [AND] silly [IMPLY] careless [PERIOD] tender [AND] versatile [AND] careless [IMPLY] outrageous [PERIOD] attractive [AND] talented [AND] versatile [IMPLY] lucky [PERIOD] lucky [AND] tender [AND] hil...
Proof chain: versatile ⇒ nervous nervous ⇒ talented Cannot apply rule “attractive ∧ talented ∧ versatile ⇒ lucky” because missing: attractive. versatile ⇒ nervous Cannot apply rule “attractive ∧ nervous ⇒ lucky” because missing: attractive.
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Facts: Batman is bored [PERIOD] Batman is straightforward [PERIOD] Rules: enchanting [AND] straightforward [IMPLY] beautiful [PERIOD] outrageous [IMPLY] beautiful [PERIOD] enchanting [AND] outrageous [AND] bored [IMPLY] bright [PERIOD] worrisome [AND] outrageous [IMPLY] unpleasant [PERIOD] straightforward [AND] mean [...
Proof chain: straightforward ⇒ homely homely ⇒ nervous nervous ⇒ worrisome bored ∧ worrisome ⇒ outrageous outrageous ⇒ beautiful
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Facts: Batman is helpless [PERIOD] Batman is embarrassed [PERIOD] Batman is rude [PERIOD] Rules: strange [AND] unpleasant [AND] helpless [IMPLY] cute [PERIOD] unpleasant [AND] pessimistic [IMPLY] worrisome [PERIOD] pessimistic [IMPLY] easy [PERIOD] unpleasant [AND] powerful [AND] bright [IMPLY] supportive [PERIOD] emb...
Proof chain: rude ∧ embarrassed ⇒ joyous joyous ⇒ worrisome rude ∧ embarrassed ⇒ joyous rude ⇒ comfortable worrisome ∧ joyous ∧ comfortable ⇒ strange
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Facts: Batman is bored [PERIOD] Rules: perfect [AND] tidy [IMPLY] amused [PERIOD] modern [IMPLY] amused [PERIOD] modern [AND] bored [IMPLY] tender [PERIOD] tidy [AND] tender [AND] proud [IMPLY] amused [PERIOD] proud [IMPLY] shiny [PERIOD] amused [AND] shiny [AND] proud [IMPLY] modern [PERIOD] shiny [IMPLY] bored [PERI...
Proof chain: Cannot apply rule “shiny ∧ calm ∧ bored ⇒ proud” because missing: shiny, calm. bored ⇒ modern bored ⇒ modern modern ⇒ amused Cannot apply rule “calm ∧ modern ∧ amused ⇒ proud” because missing: calm.
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Facts: Batman is homely [PERIOD] Batman is victorious [PERIOD] Rules: supportive [AND] anxious [IMPLY] blushing [PERIOD] anxious [AND] supportive [AND] impartial [IMPLY] gleaming [PERIOD] anxious [AND] blushing [IMPLY] excited [PERIOD] grumpy [IMPLY] bad-tempered [PERIOD] supportive [IMPLY] average [PERIOD] strange [A...
Proof chain: homely ⇒ powerful powerful ⇒ outrageous outrageous ⇒ blushing blushing ⇒ cute cute ⇒ beautiful
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Facts: Batman is uptight [PERIOD] Rules: pessimistic [IMPLY] uptight [PERIOD] stubborn [IMPLY] pessimistic [PERIOD] innocent [AND] stubborn [AND] pessimistic [IMPLY] uptight [PERIOD] stubborn [IMPLY] innocent [PERIOD] innocent [AND] stubborn [IMPLY] talkative [PERIOD] stubborn [AND] uptight [AND] talkative [IMPLY] inn...
Proof chain: Cannot apply rule “stubborn ⇒ innocent” because missing: stubborn. Cannot apply rule “stubborn ∧ uptight ∧ talkative ⇒ innocent” because missing: stubborn, talkative. Cannot apply rule “stubborn ∧ talkative ⇒ innocent” because missing: stubborn, talkative. Cannot apply rule “pessimistic ∧ stubb...
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Facts: Rules: blushing [AND] dishonest [AND] helpful [IMPLY] lucky [PERIOD] fine [AND] worrisome [AND] lucky [IMPLY] comfortable [PERIOD] dishonest [AND] clumsy [AND] comfortable [IMPLY] busy [PERIOD] foolish [AND] busy [AND] weary [IMPLY] clumsy [PERIOD] hurt [AND] helpful [IMPLY] strange [PERIOD] worrisome [AND] bus...
Proof chain: Cannot apply rule “foolish ∧ busy ∧ weary ⇒ clumsy” because missing: foolish, busy, weary. Cannot apply rule “bored ∧ worrisome ∧ foolish ⇒ clumsy” because missing: bored, worrisome, foolish. Cannot apply rule “attentive ∧ lucky ∧ hurt ⇒ clumsy” because missing: attentive, lucky, hurt. Cannot a...
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Facts: Batman is enchanting [PERIOD] Batman is gifted [PERIOD] Batman is crowded [PERIOD] Batman is frightened [PERIOD] Batman is elegant [PERIOD] Batman is rude [PERIOD] Rules: alert [IMPLY] rude [PERIOD] pleasant [AND] calm [AND] agreeable [IMPLY] victorious [PERIOD] careless [AND] rude [IMPLY] enchanting [PERIOD] c...
Proof chain: gifted ⇒ cute cute ∧ elegant ∧ crowded ⇒ busy gifted ⇒ cute enchanting ⇒ agreeable busy ∧ cute ∧ agreeable ⇒ pleasant
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Facts: Batman is gifted [PERIOD] Batman is spotless [PERIOD] Batman is loving [PERIOD] Rules: tame [IMPLY] loving [PERIOD] innocent [AND] shy [AND] loving [IMPLY] hypocritical [PERIOD] hypocritical [AND] gifted [AND] loving [IMPLY] spotless [PERIOD] bad-tempered [AND] spotless [IMPLY] loving [PERIOD] innocent [AND] sh...
Proof chain: Cannot apply rule “innocent ∧ shy ∧ loving ⇒ hypocritical” because missing: innocent, shy. Cannot apply rule “homely ⇒ hypocritical” because missing: homely. Cannot apply rule “courageous ⇒ hypocritical” because missing: courageous. Cannot apply rule “courageous ∧ bad-tempered ⇒ hypocritical” b...
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Facts: Batman is shy [PERIOD] Batman is frantic [PERIOD] Batman is frail [PERIOD] Batman is clumsy [PERIOD] Batman is alert [PERIOD] Batman is jittery [PERIOD] Batman is long [PERIOD] Batman is fancy [PERIOD] Batman is embarrassed [PERIOD] Rules: easy [IMPLY] adorable [PERIOD] popular [IMPLY] embarrassed [PERIOD] long...
Proof chain: shy ⇒ popular alert ∧ popular ⇒ rude jittery ∧ rude ⇒ anxious long ∧ anxious ⇒ distinct distinct ⇒ adorable
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Facts: Batman is wide-eyed [PERIOD] Batman is mysterious [PERIOD] Batman is inexpensive [PERIOD] Batman is unpleasant [PERIOD] Batman is cute [PERIOD] Batman is selfish [PERIOD] Batman is tender [PERIOD] Batman is clean [PERIOD] Batman is plain [PERIOD] Batman is ambitious [PERIOD] Batman is vivacious [PERIOD] Batman ...
Proof chain: mysterious ∧ elated ∧ cute ⇒ muddy muddy ⇒ lucky clean ∧ selfish ⇒ beautiful tender ∧ plain ∧ beautiful ⇒ grumpy lucky ∧ grumpy ⇒ impartial
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Facts: Rules: quaint [AND] tired [AND] bossy [IMPLY] easy [PERIOD] tired [IMPLY] bossy [PERIOD] quaint [AND] tired [IMPLY] bossy [PERIOD] bossy [AND] tired [IMPLY] enchanting [PERIOD] tired [AND] enchanting [IMPLY] quaint [PERIOD] quaint [AND] tired [AND] enchanting [IMPLY] bossy [PERIOD] bossy [AND] enchanting [AND] ...
Proof chain: Cannot apply rule “tired ⇒ bossy” because missing: tired. Cannot apply rule “quaint ∧ tired ⇒ bossy” because missing: quaint, tired. Cannot apply rule “quaint ∧ tired ∧ enchanting ⇒ bossy” because missing: quaint, tired, enchanting. Cannot apply rule “enchanting ∧ quaint ⇒ bossy” because missin...
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Facts: Batman is careless [PERIOD] Batman is fragile [PERIOD] Batman is cooperative [PERIOD] Batman is blushing [PERIOD] Rules: foolish [AND] blushing [AND] proud [IMPLY] weary [PERIOD] weary [AND] careless [AND] proud [IMPLY] fragile [PERIOD] proud [AND] precious [AND] careless [IMPLY] cooperative [PERIOD] proud [AND...
Proof chain: Cannot apply rule “foolish ∧ blushing ∧ proud ⇒ weary” because missing: foolish, proud. Cannot apply rule “beautiful ⇒ weary” because missing: beautiful. Cannot apply rule “precious ⇒ weary” because missing: precious. Cannot apply rule “beautiful ∧ proud ⇒ weary” because missing: beautiful, pro...
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Facts: Batman is tired [PERIOD] Rules: spotless [AND] ugly [IMPLY] alert [PERIOD] ugly [AND] messy [IMPLY] fancy [PERIOD] ugly [IMPLY] alert [PERIOD] spotless [AND] fancy [AND] ugly [IMPLY] alert [PERIOD] fancy [AND] messy [AND] tired [IMPLY] ugly [PERIOD] fancy [AND] messy [IMPLY] alert [PERIOD] fancy [AND] alert [IM...
Proof chain: Cannot apply rule “spotless ∧ ugly ⇒ alert” because missing: spotless, ugly. Cannot apply rule “ugly ⇒ alert” because missing: ugly. Cannot apply rule “spotless ∧ fancy ∧ ugly ⇒ alert” because missing: spotless, fancy, ugly. Cannot apply rule “fancy ∧ messy ⇒ alert” because missing: fancy, mess...
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