Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is agreeable [PERIOD] Batman is modern [PERIOD] Batman is outrageous [PERIOD] Batman is disgusted [PERIOD] Rules: fine [AND] outrageous [IMPLY] vivacious [PERIOD] mysterious [AND] charming [AND] pleasant [IMPLY] cooperative [PERIOD] cooperative [IMPLY] charming [PERIOD] embarrassed [IMPLY] cooperative [P...
Proof chain: disgusted ⇒ innocent innocent ⇒ cooperative cooperative ⇒ charming disgusted ⇒ innocent innocent ⇒ cooperative charming ∧ cooperative ⇒ distinct
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Facts: Batman is ugliest [PERIOD] Batman is naughty [PERIOD] Rules: cruel [AND] fearless [IMPLY] tender [PERIOD] enchanting [AND] modern [IMPLY] embarrassed [PERIOD] crowded [IMPLY] cruel [PERIOD] enchanting [AND] light [AND] cruel [IMPLY] cute [PERIOD] crowded [AND] modern [IMPLY] enchanting [PERIOD] modern [AND] fra...
Proof chain: ugliest ⇒ crowded crowded ⇒ cooperative ugliest ⇒ crowded crowded ⇒ cooperative cooperative ⇒ clumsy naughty ∧ cooperative ∧ clumsy ⇒ embarrassed
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Facts: Batman is modern [PERIOD] Batman is innocent [PERIOD] Batman is beautiful [PERIOD] Batman is alert [PERIOD] Batman is ambitious [PERIOD] Batman is horrible [PERIOD] Rules: tidy [AND] naughty [IMPLY] polite [PERIOD] polite [AND] horrible [AND] condemned [IMPLY] embarrassed [PERIOD] beautiful [AND] innocent [IMPL...
Proof chain: alert ⇒ thoughtless thoughtless ⇒ messy beautiful ⇒ busy busy ⇒ embarrassed embarrassed ⇒ selfish messy ∧ selfish ⇒ talented
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Facts: Batman is exuberant [PERIOD] Batman is fancy [PERIOD] Batman is tidy [PERIOD] Rules: dull [AND] helpful [IMPLY] fancy [PERIOD] alert [AND] fancy [IMPLY] pleasant [PERIOD] exuberant [AND] broad-minded [IMPLY] diplomatic [PERIOD] diplomatic [AND] frightened [IMPLY] alert [PERIOD] troubled [AND] dull [AND] pleasan...
Proof chain: tidy ∧ fancy ⇒ dull exuberant ⇒ troubled dull ∧ troubled ∧ exuberant ⇒ frightened exuberant ⇒ troubled exuberant ∧ frightened ∧ troubled ⇒ broad-minded exuberant ∧ broad-minded ⇒ diplomatic
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6
Facts: Batman is tender [PERIOD] Rules: hurt [AND] ugliest [AND] pessimistic [IMPLY] bored [PERIOD] bored [IMPLY] elegant [PERIOD] hurt [IMPLY] stormy [PERIOD] cruel [AND] frightened [IMPLY] stormy [PERIOD] innocent [AND] dishonest [AND] scared [IMPLY] supportive [PERIOD] supportive [AND] cruel [AND] impartial [IMPLY]...
Proof chain: Cannot apply rule “supportive ∧ cruel ∧ impartial ⇒ outstanding” because missing: supportive, cruel, impartial. Cannot apply rule “cruel ⇒ outstanding” because missing: cruel. Cannot apply rule “comfortable ∧ scared ⇒ outstanding” because missing: comfortable, scared. Cannot apply rule “vivacio...
0
6
Facts: Batman is vivacious [PERIOD] Batman is dishonest [PERIOD] Batman is thoughtless [PERIOD] Batman is fearless [PERIOD] Batman is precious [PERIOD] Rules: worrisome [AND] disgusted [AND] plain [IMPLY] tender [PERIOD] sensible [AND] enchanting [AND] embarrassed [IMPLY] bad-tempered [PERIOD] supportive [IMPLY] worri...
Proof chain: precious ∧ thoughtless ⇒ plain Cannot apply rule “worrisome ∧ disgusted ∧ plain ⇒ tender” because missing: worrisome, disgusted. Cannot apply rule “good ∧ rational ⇒ tender” because missing: good, rational. Cannot apply rule “horrible ⇒ tender” because missing: horrible. Cannot apply rule “s...
0
6
Facts: Batman is disgusted [PERIOD] Batman is pessimistic [PERIOD] Batman is beautiful [PERIOD] Rules: sincere [AND] grumpy [AND] beautiful [IMPLY] pessimistic [PERIOD] disgusted [IMPLY] gleaming [PERIOD] mysterious [IMPLY] cooperative [PERIOD] stormy [AND] long [IMPLY] sincere [PERIOD] stormy [AND] combative [AND] ba...
Proof chain: beautiful ⇒ combative combative ⇒ tame disgusted ∧ pessimistic ⇒ helpless beautiful ⇒ combative tame ∧ helpless ∧ combative ⇒ long disgusted ∧ long ∧ beautiful ⇒ old-fashioned
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Facts: Batman is joyous [PERIOD] Batman is selfish [PERIOD] Rules: charming [AND] stormy [AND] curious [IMPLY] selfish [PERIOD] stormy [AND] frantic [IMPLY] selfish [PERIOD] hilarious [AND] charming [AND] selfish [IMPLY] agreeable [PERIOD] hilarious [AND] agreeable [AND] frantic [IMPLY] curious [PERIOD] agreeable [IMP...
Proof chain: Cannot apply rule “distinct ∧ homely ∧ joyous ⇒ charming” because missing: distinct, homely. selfish ⇒ frantic Cannot apply rule “agreeable ∧ selfish ∧ frantic ⇒ charming” because missing: agreeable. selfish ⇒ frantic Cannot apply rule “distinct ∧ frantic ∧ homely ⇒ charming” because missing...
0
6
Facts: Batman is helpful [PERIOD] Batman is precious [PERIOD] Rules: polite [AND] helpful [IMPLY] stupid [PERIOD] helpful [AND] elated [AND] unpleasant [IMPLY] polite [PERIOD] popular [AND] helpful [AND] polite [IMPLY] average [PERIOD] precious [AND] easy [IMPLY] helpful [PERIOD] popular [AND] bored [IMPLY] elated [PE...
Proof chain: Cannot apply rule “helpful ∧ elated ⇒ cruel” because missing: elated. Cannot apply rule “easy ⇒ cruel” because missing: easy. Cannot apply rule “modern ∧ helpful ⇒ cruel” because missing: modern. Cannot apply rule “unpleasant ∧ muddy ⇒ cruel” because missing: unpleasant, muddy. Cannot apply ...
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Facts: Rules: enchanting [AND] gifted [IMPLY] perfect [PERIOD] bright [IMPLY] gifted [PERIOD] tame [IMPLY] proud [PERIOD] gifted [AND] proud [IMPLY] tame [PERIOD] enchanting [AND] bright [AND] proud [IMPLY] perfect [PERIOD] enchanting [AND] bright [IMPLY] gifted [PERIOD] perfect [AND] tame [AND] proud [IMPLY] pleasant...
Proof chain: Cannot apply rule “bright ⇒ gifted” because missing: bright. Cannot apply rule “enchanting ∧ bright ⇒ gifted” because missing: enchanting, bright. Cannot apply rule “enchanting ∧ bright ∧ proud ⇒ gifted” because missing: enchanting, bright, proud. Cannot apply rule “pleasant ∧ enchanting ∧ perf...
0
6
Facts: Batman is charming [PERIOD] Batman is calm [PERIOD] Rules: wide-eyed [AND] fragile [IMPLY] amused [PERIOD] jittery [IMPLY] fragile [PERIOD] jittery [AND] lucky [AND] worrisome [IMPLY] broad-minded [PERIOD] lonely [AND] amused [AND] broad-minded [IMPLY] fragile [PERIOD] modern [AND] lonely [AND] combative [IMPLY...
Proof chain: calm ⇒ amused charming ∧ amused ∧ calm ⇒ broad-minded Cannot apply rule “broad-minded ∧ gifted ∧ disgusted ⇒ jittery” because missing: gifted, disgusted. Cannot apply rule “selfish ∧ calm ⇒ jittery” because missing: selfish. Cannot apply rule “disgusted ∧ fancy ∧ wide-eyed ⇒ jittery” because...
0
6
Facts: Rules: powerful [AND] sincere [AND] popular [IMPLY] nervous [PERIOD] nervous [AND] sincere [IMPLY] talented [PERIOD] friendly [IMPLY] difficult [PERIOD] dull [IMPLY] rude [PERIOD] aggressive [AND] homely [IMPLY] popular [PERIOD] sincere [AND] stupid [IMPLY] versatile [PERIOD] fearless [AND] quaint [IMPLY] fooli...
Proof chain: Cannot apply rule “friendly ⇒ exuberant” because missing: friendly. Cannot apply rule “different ⇒ exuberant” because missing: different. Cannot apply rule “straightforward ∧ muddy ∧ friendly ⇒ exuberant” because missing: straightforward, muddy, friendly. Cannot apply rule “alert ∧ nervous ⇒ ex...
0
6
Facts: Batman is precious [PERIOD] Batman is elegant [PERIOD] Batman is troubled [PERIOD] Batman is uptight [PERIOD] Batman is horrible [PERIOD] Batman is comfortable [PERIOD] Rules: fine [IMPLY] bored [PERIOD] unpleasant [AND] elegant [AND] wide-eyed [IMPLY] friendly [PERIOD] hypocritical [AND] alert [AND] friendly [...
Proof chain: troubled ∧ comfortable ⇒ different comfortable ⇒ stormy different ∧ horrible ∧ stormy ⇒ unpleasant comfortable ⇒ stormy stormy ⇒ wide-eyed unpleasant ∧ elegant ∧ wide-eyed ⇒ friendly
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Facts: Batman is supportive [PERIOD] Batman is mysterious [PERIOD] Batman is stormy [PERIOD] Rules: stormy [AND] sensible [IMPLY] dull [PERIOD] shiny [AND] versatile [IMPLY] easy [PERIOD] victorious [IMPLY] versatile [PERIOD] shiny [AND] embarrassed [IMPLY] calm [PERIOD] stormy [AND] pessimistic [IMPLY] enchanting [PE...
Proof chain: mysterious ⇒ victorious victorious ⇒ dull mysterious ∧ stormy ∧ dull ⇒ shiny mysterious ⇒ innocent innocent ∧ supportive ⇒ embarrassed shiny ∧ embarrassed ⇒ calm
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Facts: Batman is elegant [PERIOD] Batman is selfish [PERIOD] Batman is enchanting [PERIOD] Batman is attractive [PERIOD] Batman is frail [PERIOD] Batman is hurt [PERIOD] Rules: innocent [AND] scared [IMPLY] elegant [PERIOD] innocent [AND] thoughtful [IMPLY] enchanting [PERIOD] sincere [AND] good [IMPLY] attractive [PE...
Proof chain: selfish ∧ elegant ⇒ tense tense ⇒ good enchanting ⇒ innocent innocent ⇒ tidy attractive ∧ tidy ⇒ courageous good ∧ courageous ∧ elegant ⇒ scared
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6
Facts: Batman is clean [PERIOD] Batman is witty [PERIOD] Batman is long [PERIOD] Batman is unpleasant [PERIOD] Rules: rational [AND] clumsy [AND] beautiful [IMPLY] dishonest [PERIOD] sleepy [AND] shy [IMPLY] intellectual [PERIOD] bossy [AND] grumpy [AND] clumsy [IMPLY] bored [PERIOD] proud [IMPLY] sleepy [PERIOD] inte...
Proof chain: witty ⇒ sleepy unpleasant ⇒ shy sleepy ∧ shy ⇒ intellectual intellectual ⇒ rational rational ∧ long ⇒ beautiful beautiful ⇒ ugliest
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Facts: Batman is proud [PERIOD] Rules: tired [AND] proud [IMPLY] vivacious [PERIOD] witty [AND] stupid [IMPLY] vivacious [PERIOD] shiny [AND] stupid [IMPLY] vivacious [PERIOD] vivacious [AND] straightforward [IMPLY] witty [PERIOD] straightforward [AND] tired [AND] shiny [IMPLY] vivacious [PERIOD] shiny [AND] stupid [A...
Proof chain: Cannot apply rule “tired ∧ proud ⇒ vivacious” because missing: tired. Cannot apply rule “witty ∧ stupid ⇒ vivacious” because missing: witty, stupid. Cannot apply rule “shiny ∧ stupid ⇒ vivacious” because missing: shiny, stupid. Cannot apply rule “straightforward ∧ tired ∧ shiny ⇒ vivacious” bec...
0
6
Facts: Batman is loving [PERIOD] Batman is tame [PERIOD] Batman is wandering [PERIOD] Rules: agreeable [AND] distinct [AND] wandering [IMPLY] precious [PERIOD] anxious [IMPLY] agreeable [PERIOD] distinct [AND] wandering [IMPLY] witty [PERIOD] precious [AND] wandering [AND] distinct [IMPLY] beautiful [PERIOD] beautiful...
Proof chain: loving ∧ wandering ⇒ witty witty ⇒ precious Cannot apply rule “precious ∧ beautiful ⇒ distinct” because missing: beautiful. loving ∧ wandering ⇒ witty witty ⇒ precious Cannot apply rule “loving ∧ anxious ∧ precious ⇒ distinct” because missing: anxious.
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6
Facts: Batman is gorgeous [PERIOD] Batman is inquisitive [PERIOD] Batman is straightforward [PERIOD] Batman is innocent [PERIOD] Batman is tired [PERIOD] Batman is popular [PERIOD] Rules: joyous [AND] tame [IMPLY] gorgeous [PERIOD] helpless [AND] frightened [AND] joyous [IMPLY] perfect [PERIOD] popular [AND] joyous [A...
Proof chain: popular ⇒ fearless popular ⇒ perfect inquisitive ∧ perfect ⇒ joyous joyous ⇒ nervous nervous ⇒ crowded fearless ∧ crowded ⇒ helpless
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6
Facts: Batman is bad-tempered [PERIOD] Batman is stupid [PERIOD] Batman is selfish [PERIOD] Batman is grumpy [PERIOD] Rules: cooperative [AND] intellectual [IMPLY] condemned [PERIOD] fragile [AND] intellectual [IMPLY] selfish [PERIOD] gorgeous [AND] lonely [IMPLY] attentive [PERIOD] lonely [AND] stupid [IMPLY] intelle...
Proof chain: bad-tempered ⇒ cooperative bad-tempered ⇒ cooperative cooperative ⇒ embarrassed embarrassed ∧ selfish ⇒ lonely lonely ∧ stupid ⇒ intellectual cooperative ∧ intellectual ⇒ condemned
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6
Facts: Batman is thoughtful [PERIOD] Batman is hilarious [PERIOD] Batman is hypocritical [PERIOD] Batman is fancy [PERIOD] Batman is modern [PERIOD] Batman is worrisome [PERIOD] Batman is stupid [PERIOD] Batman is blushing [PERIOD] Batman is anxious [PERIOD] Batman is light [PERIOD] Rules: strange [IMPLY] diplomatic [...
Proof chain: hilarious ⇒ diplomatic diplomatic ∧ modern ⇒ dishonest dishonest ∧ stupid ⇒ pleasant hypocritical ∧ pleasant ∧ hilarious ⇒ bored bored ⇒ calm modern ∧ calm ⇒ combative
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6
Facts: Batman is elated [PERIOD] Batman is charming [PERIOD] Batman is loving [PERIOD] Batman is comfortable [PERIOD] Batman is careless [PERIOD] Batman is impatient [PERIOD] Rules: loving [IMPLY] muddy [PERIOD] selfish [IMPLY] impatient [PERIOD] hypocritical [AND] muddy [AND] lonely [IMPLY] calm [PERIOD] selfish [IMP...
Proof chain: careless ⇒ hypocritical loving ⇒ muddy careless ⇒ hypocritical elated ∧ hypocritical ∧ charming ⇒ helpful careless ∧ helpful ⇒ lonely hypocritical ∧ muddy ∧ lonely ⇒ calm
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Facts: Rules: worrisome [IMPLY] hypocritical [PERIOD] cooperative [AND] charming [AND] supportive [IMPLY] friendly [PERIOD] worrisome [IMPLY] zealous [PERIOD] charming [AND] worrisome [IMPLY] supportive [PERIOD] zealous [IMPLY] worrisome [PERIOD] tired [AND] curious [AND] hypocritical [IMPLY] victorious [PERIOD] curio...
Proof chain: Cannot apply rule “curious ∧ supportive ∧ zealous ⇒ sensible” because missing: curious, supportive, zealous. Cannot apply rule “selfish ∧ curious ∧ victorious ⇒ sensible” because missing: selfish, curious, victorious. Cannot apply rule “victorious ∧ foolish ⇒ sensible” because missing: victorious,...
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Facts: Batman is unpleasant [PERIOD] Batman is helpless [PERIOD] Batman is elated [PERIOD] Batman is long [PERIOD] Batman is condemned [PERIOD] Batman is uptight [PERIOD] Rules: vivacious [IMPLY] condemned [PERIOD] homely [IMPLY] scared [PERIOD] lucky [AND] fragile [IMPLY] sleepy [PERIOD] vivacious [IMPLY] uptight [PE...
Proof chain: elated ⇒ lucky condemned ∧ lucky ⇒ elegant unpleasant ⇒ careless unpleasant ∧ careless ⇒ plain uptight ⇒ vivacious elegant ∧ plain ∧ vivacious ⇒ fearless
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Facts: Batman is tidy [PERIOD] Batman is witty [PERIOD] Batman is tame [PERIOD] Batman is thoughtless [PERIOD] Batman is talented [PERIOD] Batman is messy [PERIOD] Batman is talkative [PERIOD] Rules: thoughtful [IMPLY] talented [PERIOD] talkative [AND] worrisome [IMPLY] weary [PERIOD] talented [IMPLY] thoughtless [PER...
Proof chain: messy ⇒ good messy ⇒ good good ⇒ mysterious thoughtless ⇒ frail frail ⇒ clean good ∧ mysterious ∧ clean ⇒ hypocritical
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Facts: Batman is thoughtful [PERIOD] Rules: calm [AND] powerful [AND] beautiful [IMPLY] cruel [PERIOD] cruel [AND] thoughtful [AND] popular [IMPLY] thoughtless [PERIOD] calm [AND] friendly [AND] cruel [IMPLY] rational [PERIOD] beautiful [AND] thoughtless [AND] powerful [IMPLY] witty [PERIOD] powerful [IMPLY] popular [...
Proof chain: thoughtful ⇒ popular thoughtful ⇒ loving thoughtful ⇒ popular loving ∧ popular ⇒ calm thoughtful ⇒ loving popular ∧ calm ∧ loving ⇒ powerful
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Facts: Rules: dull [AND] straightforward [IMPLY] muddy [PERIOD] strange [IMPLY] smart [PERIOD] ugly [AND] straightforward [AND] strange [IMPLY] dull [PERIOD] dull [AND] straightforward [IMPLY] ugly [PERIOD] dull [AND] muddy [IMPLY] strange [PERIOD] smart [IMPLY] dull [PERIOD] muddy [AND] smart [IMPLY] zealous [PERIOD]...
Proof chain: Cannot apply rule “strange ⇒ smart” because missing: strange. Cannot apply rule “dull ⇒ smart” because missing: dull. Cannot apply rule “straightforward ∧ muddy ∧ ugly ⇒ smart” because missing: straightforward, muddy, ugly. Cannot apply rule “strange ∧ straightforward ⇒ smart” because missing: ...
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Facts: Batman is wrong [PERIOD] Batman is naughty [PERIOD] Batman is rude [PERIOD] Rules: worried [AND] wrong [AND] zealous [IMPLY] innocent [PERIOD] charming [AND] pessimistic [AND] weary [IMPLY] worried [PERIOD] worried [AND] charming [IMPLY] naughty [PERIOD] weary [AND] innocent [AND] rude [IMPLY] zealous [PERIOD] ...
Proof chain: rude ⇒ weary Cannot apply rule “weary ∧ innocent ∧ rude ⇒ zealous” because missing: innocent. Cannot apply rule “precious ∧ pessimistic ∧ charming ⇒ zealous” because missing: precious, pessimistic, charming. rude ⇒ weary Cannot apply rule “pessimistic ∧ wrong ∧ weary ⇒ zealous” because missi...
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6
Facts: Rules: confused [AND] bad-tempered [AND] loving [IMPLY] nervous [PERIOD] frantic [IMPLY] outstanding [PERIOD] stormy [IMPLY] hurt [PERIOD] stormy [AND] modern [IMPLY] smart [PERIOD] grumpy [AND] loving [IMPLY] spotless [PERIOD] dull [AND] loving [IMPLY] modern [PERIOD] nervous [AND] courageous [AND] spotless [I...
Proof chain: Cannot apply rule “aggressive ⇒ fearless” because missing: aggressive. Cannot apply rule “stormy ∧ long ⇒ fearless” because missing: stormy, long. Cannot apply rule “confused ⇒ fearless” because missing: confused. Cannot apply rule “grumpy ∧ modern ⇒ fearless” because missing: grumpy, modern. ...
0
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Facts: Rules: nervous [AND] rational [IMPLY] naughty [PERIOD] thoughtless [IMPLY] elegant [PERIOD] beautiful [IMPLY] nervous [PERIOD] elegant [AND] agreeable [AND] embarrassed [IMPLY] rational [PERIOD] intellectual [IMPLY] confused [PERIOD] innocent [IMPLY] naughty [PERIOD] innocent [AND] loving [IMPLY] thoughtless [P...
Proof chain: Cannot apply rule “intellectual ⇒ confused” because missing: intellectual. Cannot apply rule “mysterious ⇒ confused” because missing: mysterious. Cannot apply rule “versatile ∧ thoughtless ∧ innocent ⇒ confused” because missing: versatile, thoughtless, innocent. Cannot apply rule “thoughtless ⇒...
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Facts: Rules: tense [AND] difficult [IMPLY] mysterious [PERIOD] tense [AND] difficult [IMPLY] helpful [PERIOD] selfish [AND] helpful [IMPLY] rational [PERIOD] rational [AND] difficult [AND] foolish [IMPLY] weary [PERIOD] helpful [IMPLY] fearless [PERIOD] mysterious [IMPLY] foolish [PERIOD] foolish [IMPLY] rational [PE...
Proof chain: Cannot apply rule “rational ∧ scared ∧ fearless ⇒ difficult” because missing: rational, scared, fearless. Cannot apply rule “helpful ∧ scared ⇒ difficult” because missing: helpful, scared. Cannot apply rule “scared ∧ selfish ∧ fearless ⇒ difficult” because missing: scared, selfish, fearless. Ca...
0
6
Facts: Batman is old-fashioned [PERIOD] Batman is fragile [PERIOD] Batman is outrageous [PERIOD] Batman is tender [PERIOD] Batman is ugliest [PERIOD] Batman is wrong [PERIOD] Batman is distinct [PERIOD] Batman is inquisitive [PERIOD] Rules: distinct [IMPLY] cooperative [PERIOD] quaint [AND] talented [IMPLY] muddy [PER...
Proof chain: ugliest ∧ old-fashioned ⇒ intellectual outrageous ⇒ gifted intellectual ∧ gifted ∧ old-fashioned ⇒ smart smart ⇒ muddy muddy ⇒ diplomatic diplomatic ⇒ talented
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6
Facts: Batman is distinct [PERIOD] Batman is proud [PERIOD] Batman is smart [PERIOD] Rules: witty [AND] helpless [AND] cruel [IMPLY] dull [PERIOD] friendly [AND] helpless [IMPLY] proud [PERIOD] helpless [IMPLY] witty [PERIOD] easy [IMPLY] careless [PERIOD] friendly [AND] smart [AND] easy [IMPLY] dull [PERIOD] proud [A...
Proof chain: proud ⇒ careless smart ⇒ cruel smart ⇒ cruel cruel ∧ distinct ⇒ easy proud ∧ easy ∧ smart ⇒ helpless careless ∧ cruel ∧ helpless ⇒ friendly
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Facts: Batman is friendly [PERIOD] Batman is crowded [PERIOD] Rules: elegant [AND] friendly [AND] cooperative [IMPLY] excited [PERIOD] tense [IMPLY] elegant [PERIOD] elegant [AND] horrible [AND] cooperative [IMPLY] wide-eyed [PERIOD] crowded [AND] friendly [AND] tense [IMPLY] horrible [PERIOD] friendly [AND] excited [...
Proof chain: crowded ⇒ horrible crowded ⇒ cooperative horrible ∧ cooperative ⇒ elegant crowded ⇒ horrible crowded ⇒ cooperative elegant ∧ horrible ∧ cooperative ⇒ wide-eyed
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6
Facts: Batman is silly [PERIOD] Batman is stormy [PERIOD] Rules: stormy [AND] enchanting [IMPLY] polite [PERIOD] enchanting [AND] polite [IMPLY] selfish [PERIOD] hurt [IMPLY] bad-tempered [PERIOD] dull [AND] supportive [IMPLY] wrong [PERIOD] tame [AND] outstanding [IMPLY] hurt [PERIOD] sleepy [AND] wide-eyed [AND] wor...
Proof chain: silly ⇒ impartial silly ∧ impartial ⇒ cruel cruel ⇒ dull dull ⇒ worried worried ⇒ enchanting stormy ∧ enchanting ⇒ polite
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Facts: Batman is different [PERIOD] Batman is frantic [PERIOD] Batman is worrisome [PERIOD] Batman is fearless [PERIOD] Rules: clumsy [AND] impartial [AND] fearless [IMPLY] confused [PERIOD] jittery [AND] serious [AND] difficult [IMPLY] impartial [PERIOD] tense [AND] agreeable [AND] cute [IMPLY] joyous [PERIOD] hypocr...
Proof chain: different ⇒ difficult Cannot apply rule “jittery ∧ serious ∧ difficult ⇒ impartial” because missing: jittery, serious. Cannot apply rule “frightened ⇒ impartial” because missing: frightened. worrisome ⇒ cooperative Cannot apply rule “outrageous ∧ cooperative ⇒ impartial” because missing: out...
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6
Facts: Batman is quaint [PERIOD] Batman is blushing [PERIOD] Batman is plain [PERIOD] Batman is homely [PERIOD] Batman is gleaming [PERIOD] Batman is distinct [PERIOD] Batman is spotless [PERIOD] Batman is ugly [PERIOD] Batman is rude [PERIOD] Batman is straightforward [PERIOD] Batman is clean [PERIOD] Batman is gifte...
Proof chain: clean ⇒ fine ugly ∧ fine ⇒ bright plain ∧ gifted ∧ homely ⇒ foolish Cannot apply rule “frail ∧ bright ∧ foolish ⇒ unpleasant” because missing: frail. Cannot apply rule “frail ∧ long ⇒ unpleasant” because missing: frail, long. Cannot apply rule “victorious ∧ blushing ⇒ unpleasant” because ...
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Facts: Rules: intellectual [IMPLY] helpless [PERIOD] outstanding [AND] helpless [AND] comfortable [IMPLY] lonely [PERIOD] glamorous [AND] intellectual [IMPLY] helpless [PERIOD] comfortable [AND] easy [IMPLY] wide-eyed [PERIOD] wide-eyed [IMPLY] gorgeous [PERIOD] gorgeous [IMPLY] comfortable [PERIOD] easy [IMPLY] helpl...
Proof chain: Cannot apply rule “easy ∧ attentive ∧ gorgeous ⇒ unpleasant” because missing: easy, attentive, gorgeous. Cannot apply rule “comfortable ∧ helpless ∧ inquisitive ⇒ unpleasant” because missing: comfortable, helpless, inquisitive. Cannot apply rule “glamorous ∧ easy ⇒ unpleasant” because missing: gla...
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6
Facts: Rules: modern [IMPLY] helpful [PERIOD] fragile [IMPLY] pessimistic [PERIOD] frantic [AND] wrong [AND] helpful [IMPLY] frail [PERIOD] modern [AND] exuberant [AND] frantic [IMPLY] helpful [PERIOD] intellectual [AND] modern [IMPLY] helpful [PERIOD] frantic [IMPLY] precious [PERIOD] pessimistic [AND] disgusted [AND...
Proof chain: Cannot apply rule “modern ⇒ helpful” because missing: modern. Cannot apply rule “modern ∧ exuberant ∧ frantic ⇒ helpful” because missing: modern, exuberant, frantic. Cannot apply rule “intellectual ∧ modern ⇒ helpful” because missing: intellectual, modern. Cannot apply rule “fragile ∧ intellect...
0
6
Facts: Batman is rude [PERIOD] Batman is gifted [PERIOD] Batman is wandering [PERIOD] Rules: broad-minded [IMPLY] impartial [PERIOD] inexpensive [IMPLY] impartial [PERIOD] strange [AND] muddy [AND] nervous [IMPLY] mysterious [PERIOD] gifted [AND] silly [IMPLY] muddy [PERIOD] mysterious [AND] light [IMPLY] worrisome [P...
Proof chain: wandering ⇒ different different ⇒ nervous nervous ⇒ tame tame ⇒ messy rude ⇒ homely rude ∧ messy ∧ homely ⇒ blushing
1
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Facts: Batman is elated [PERIOD] Batman is straightforward [PERIOD] Rules: clean [AND] curious [IMPLY] thoughtful [PERIOD] joyous [IMPLY] combative [PERIOD] ugliest [IMPLY] combative [PERIOD] shiny [IMPLY] joyous [PERIOD] good [AND] talkative [AND] clean [IMPLY] straightforward [PERIOD] gorgeous [IMPLY] curious [PERIO...
Proof chain: straightforward ⇒ combative combative ⇒ shiny straightforward ⇒ disobedient disobedient ⇒ ugliest shiny ∧ ugliest ⇒ cooperative cooperative ⇒ clean
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Facts: Batman is rude [PERIOD] Rules: busy [IMPLY] anxious [PERIOD] scared [IMPLY] busy [PERIOD] crowded [AND] hypocritical [AND] glamorous [IMPLY] alert [PERIOD] busy [AND] scared [IMPLY] hypocritical [PERIOD] alert [IMPLY] hypocritical [PERIOD] hypocritical [AND] weary [IMPLY] busy [PERIOD] charming [AND] crowded [I...
Proof chain: Cannot apply rule “scared ⇒ busy” because missing: scared. Cannot apply rule “hypocritical ∧ weary ⇒ busy” because missing: hypocritical, weary. Cannot apply rule “weary ∧ glamorous ∧ crowded ⇒ busy” because missing: weary, glamorous, crowded. Cannot apply rule “glamorous ∧ hypocritical ⇒ busy”...
0
6
Facts: Batman is mysterious [PERIOD] Batman is impartial [PERIOD] Batman is old-fashioned [PERIOD] Batman is glamorous [PERIOD] Batman is helpful [PERIOD] Batman is sensible [PERIOD] Batman is wrong [PERIOD] Batman is reserved [PERIOD] Batman is dull [PERIOD] Batman is messy [PERIOD] Batman is embarrassed [PERIOD] Bat...
Proof chain: old-fashioned ∧ glamorous ⇒ thoughtful old-fashioned ⇒ pessimistic thoughtful ∧ embarrassed ∧ pessimistic ⇒ cruel mysterious ∧ dull ∧ cruel ⇒ strange busy ∧ reserved ⇒ frightened strange ∧ frightened ⇒ fine
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Facts: Batman is unpleasant [PERIOD] Rules: combative [AND] unpleasant [IMPLY] calm [PERIOD] weary [AND] strange [AND] tense [IMPLY] cute [PERIOD] spotless [AND] strange [IMPLY] cute [PERIOD] clean [IMPLY] combative [PERIOD] sincere [AND] unpleasant [AND] tense [IMPLY] combative [PERIOD] calm [AND] embarrassed [IMPLY]...
Proof chain: Cannot apply rule “calm ∧ embarrassed ⇒ strange” because missing: calm, embarrassed. Cannot apply rule “embarrassed ∧ tense ∧ calm ⇒ strange” because missing: embarrassed, tense, calm. Cannot apply rule “unpleasant ∧ clean ∧ cute ⇒ strange” because missing: clean, cute. Cannot apply rule “cute ...
0
6
Facts: Batman is excited [PERIOD] Batman is wide-eyed [PERIOD] Rules: muddy [AND] vivacious [IMPLY] inexpensive [PERIOD] witty [AND] jittery [AND] alert [IMPLY] straightforward [PERIOD] attractive [AND] vivacious [AND] witty [IMPLY] rational [PERIOD] excited [AND] alert [IMPLY] straightforward [PERIOD] disgusted [AND]...
Proof chain: Cannot apply rule “attractive ∧ vivacious ∧ witty ⇒ rational” because missing: attractive, vivacious, witty. Cannot apply rule “disgusted ∧ wide-eyed ⇒ rational” because missing: disgusted. Cannot apply rule “alert ∧ cooperative ∧ plain ⇒ rational” because missing: alert, cooperative, plain. Ca...
0
6
Facts: Batman is bad-tempered [PERIOD] Batman is elated [PERIOD] Batman is reserved [PERIOD] Batman is confused [PERIOD] Batman is cooperative [PERIOD] Batman is helpful [PERIOD] Batman is perfect [PERIOD] Rules: helpful [AND] bored [IMPLY] pessimistic [PERIOD] stupid [IMPLY] tidy [PERIOD] embarrassed [AND] perfect [I...
Proof chain: helpful ⇒ tidy perfect ∧ tidy ⇒ agreeable Cannot apply rule “agreeable ∧ bad-tempered ∧ messy ⇒ bored” because missing: messy. helpful ⇒ tidy perfect ∧ tidy ⇒ agreeable Cannot apply rule “perfect ∧ pessimistic ∧ agreeable ⇒ bored” because missing: pessimistic.
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Facts: Rules: cooperative [AND] wide-eyed [AND] polite [IMPLY] hilarious [PERIOD] foolish [IMPLY] glamorous [PERIOD] glamorous [AND] bad-tempered [IMPLY] polite [PERIOD] wide-eyed [AND] glamorous [IMPLY] rude [PERIOD] rude [AND] bad-tempered [IMPLY] cooperative [PERIOD] cooperative [AND] glamorous [IMPLY] outstanding ...
Proof chain: Cannot apply rule “wide-eyed ∧ glamorous ⇒ rude” because missing: wide-eyed, glamorous. Cannot apply rule “bad-tempered ⇒ rude” because missing: bad-tempered. Cannot apply rule “wide-eyed ∧ bad-tempered ∧ hilarious ⇒ rude” because missing: wide-eyed, bad-tempered, hilarious. Cannot apply rule “...
0
6
Facts: Batman is powerful [PERIOD] Batman is helpless [PERIOD] Batman is shiny [PERIOD] Rules: strange [AND] cruel [IMPLY] amused [PERIOD] sensible [AND] outrageous [AND] ugly [IMPLY] amused [PERIOD] weary [AND] inquisitive [IMPLY] grumpy [PERIOD] gleaming [IMPLY] straightforward [PERIOD] grumpy [IMPLY] weary [PERIOD]...
Proof chain: shiny ⇒ grumpy grumpy ⇒ weary helpless ⇒ inquisitive inquisitive ∧ powerful ⇒ gleaming gleaming ⇒ straightforward weary ∧ straightforward ⇒ tame
1
6
Facts: Rules: wandering [AND] bright [IMPLY] homely [PERIOD] supportive [AND] glamorous [AND] serious [IMPLY] fearless [PERIOD] gifted [AND] wandering [IMPLY] frightened [PERIOD] hypocritical [AND] supportive [IMPLY] lonely [PERIOD] serious [AND] versatile [IMPLY] lonely [PERIOD] serious [IMPLY] frightened [PERIOD] se...
Proof chain: Cannot apply rule “wandering ∧ ugly ⇒ supportive” because missing: wandering, ugly. Cannot apply rule “fragile ∧ homely ⇒ supportive” because missing: fragile, homely. Cannot apply rule “different ⇒ supportive” because missing: different. Cannot apply rule “glamorous ∧ hypocritical ∧ sleepy ⇒ s...
0
6
Facts: Rules: hurt [IMPLY] thoughtless [PERIOD] hurt [AND] thoughtless [IMPLY] sleepy [PERIOD] hurt [AND] cute [AND] troubled [IMPLY] thoughtless [PERIOD] thoughtless [AND] cute [AND] inexpensive [IMPLY] troubled [PERIOD] sleepy [AND] cute [AND] thoughtless [IMPLY] hurt [PERIOD] sleepy [IMPLY] inexpensive [PERIOD] sle...
Proof chain: Cannot apply rule “sleepy ⇒ inexpensive” because missing: sleepy. Cannot apply rule “cute ⇒ inexpensive” because missing: cute. Cannot apply rule “cute ∧ hurt ∧ troubled ⇒ inexpensive” because missing: cute, hurt, troubled. Cannot apply rule “hurt ⇒ inexpensive” because missing: hurt. Cannot...
0
6
Facts: Rules: beautiful [AND] amused [IMPLY] serious [PERIOD] proud [AND] rude [IMPLY] beautiful [PERIOD] agreeable [AND] foolish [AND] amused [IMPLY] rude [PERIOD] amused [AND] rude [IMPLY] exuberant [PERIOD] beautiful [AND] proud [AND] serious [IMPLY] amused [PERIOD] foolish [IMPLY] beautiful [PERIOD] agreeable [IMP...
Proof chain: Cannot apply rule “amused ∧ rude ⇒ exuberant” because missing: amused, rude. Cannot apply rule “beautiful ⇒ exuberant” because missing: beautiful. Cannot apply rule “rude ⇒ exuberant” because missing: rude. Cannot apply rule “foolish ∧ beautiful ⇒ exuberant” because missing: foolish, beautiful....
0
6
Facts: Batman is naughty [PERIOD] Batman is sensible [PERIOD] Batman is frail [PERIOD] Batman is muddy [PERIOD] Batman is blushing [PERIOD] Batman is powerful [PERIOD] Batman is beautiful [PERIOD] Batman is talented [PERIOD] Batman is stormy [PERIOD] Rules: powerful [AND] blushing [IMPLY] hurt [PERIOD] courageous [IMP...
Proof chain: powerful ∧ talented ⇒ calm calm ⇒ tame powerful ∧ talented ⇒ calm beautiful ∧ calm ⇒ fine naughty ∧ frail ⇒ stupid tame ∧ fine ∧ stupid ⇒ embarrassed
1
6
Facts: Batman is lucky [PERIOD] Rules: helpful [AND] excited [AND] precious [IMPLY] grumpy [PERIOD] disobedient [IMPLY] dishonest [PERIOD] pleasant [AND] straightforward [IMPLY] grumpy [PERIOD] pleasant [AND] lucky [AND] excited [IMPLY] helpful [PERIOD] lucky [AND] embarrassed [AND] inquisitive [IMPLY] fancy [PERIOD] ...
Proof chain: lucky ⇒ famous famous ⇒ embarrassed Cannot apply rule “lucky ∧ embarrassed ∧ inquisitive ⇒ fancy” because missing: inquisitive. Cannot apply rule “supportive ⇒ fancy” because missing: supportive. Cannot apply rule “excited ∧ disobedient ⇒ fancy” because missing: excited, disobedient. Cann...
0
6
Facts: Batman is confused [PERIOD] Batman is quaint [PERIOD] Rules: straightforward [AND] worried [AND] innocent [IMPLY] confused [PERIOD] confused [AND] innocent [AND] combative [IMPLY] quaint [PERIOD] powerful [AND] exuberant [IMPLY] innocent [PERIOD] straightforward [IMPLY] powerful [PERIOD] rude [IMPLY] dishonest ...
Proof chain: confused ⇒ exuberant quaint ∧ exuberant ∧ confused ⇒ dishonest dishonest ∧ confused ⇒ easy confused ⇒ exuberant quaint ∧ exuberant ∧ confused ⇒ dishonest easy ∧ dishonest ⇒ worried
1
6
Facts: Rules: lucky [AND] cooperative [IMPLY] inexpensive [PERIOD] bored [AND] innocent [IMPLY] cruel [PERIOD] innocent [AND] average [IMPLY] sleepy [PERIOD] selfish [AND] bored [AND] fancy [IMPLY] sleepy [PERIOD] average [IMPLY] cruel [PERIOD] fancy [AND] sleepy [IMPLY] wandering [PERIOD] fancy [AND] aggressive [IMPL...
Proof chain: Cannot apply rule “fancy ∧ aggressive ⇒ shiny” because missing: fancy, aggressive. Cannot apply rule “thoughtful ∧ combative ∧ wandering ⇒ shiny” because missing: thoughtful, combative, wandering. Cannot apply rule “selfish ∧ innocent ∧ cooperative ⇒ shiny” because missing: selfish, innocent, coop...
0
6
Facts: Batman is lonely [PERIOD] Batman is gorgeous [PERIOD] Batman is fine [PERIOD] Batman is nervous [PERIOD] Rules: attractive [AND] tender [IMPLY] light [PERIOD] popular [IMPLY] plain [PERIOD] shy [AND] worried [AND] attractive [IMPLY] long [PERIOD] light [IMPLY] curious [PERIOD] precious [IMPLY] rational [PERIOD]...
Proof chain: fine ⇒ rational rational ⇒ plain fine ⇒ rational rational ∧ nervous ⇒ alert alert ∧ lonely ⇒ disobedient plain ∧ fine ∧ disobedient ⇒ muddy
1
6
Facts: Rules: helpless [IMPLY] ugly [PERIOD] charming [AND] lucky [AND] elated [IMPLY] hurt [PERIOD] ugly [AND] helpless [IMPLY] lucky [PERIOD] serious [IMPLY] hurt [PERIOD] ugly [AND] helpless [IMPLY] hurt [PERIOD] lucky [AND] tidy [IMPLY] serious [PERIOD] charming [AND] serious [AND] straightforward [IMPLY] tidy [PE...
Proof chain: Cannot apply rule “helpless ∧ elated ⇒ charming” because missing: helpless, elated. Cannot apply rule “serious ⇒ charming” because missing: serious. Cannot apply rule “helpless ∧ hurt ⇒ charming” because missing: helpless, hurt. Cannot apply rule “ugly ⇒ charming” because missing: ugly. Cann...
0
6
Facts: Batman is horrible [PERIOD] Batman is fancy [PERIOD] Batman is stupid [PERIOD] Rules: broad-minded [IMPLY] nervous [PERIOD] spotless [AND] vivacious [IMPLY] excited [PERIOD] broad-minded [IMPLY] calm [PERIOD] attentive [AND] agreeable [AND] cooperative [IMPLY] impatient [PERIOD] precious [IMPLY] exuberant [PERI...
Proof chain: fancy ⇒ hurt hurt ⇒ attentive fancy ⇒ dull dull ⇒ selfish fancy ⇒ hurt attentive ∧ selfish ∧ hurt ⇒ cute
1
6
Facts: Rules: impartial [AND] beautiful [IMPLY] crowded [PERIOD] nervous [AND] crowded [IMPLY] stormy [PERIOD] crowded [AND] excited [AND] stormy [IMPLY] embarrassed [PERIOD] outstanding [IMPLY] stormy [PERIOD] talented [AND] enchanting [AND] beautiful [IMPLY] excited [PERIOD] outstanding [AND] stormy [AND] nervous [I...
Proof chain: Cannot apply rule “enchanting ∧ excited ⇒ talented” because missing: enchanting, excited. Cannot apply rule “quaint ∧ enchanting ⇒ talented” because missing: quaint, enchanting. Cannot apply rule “bad-tempered ⇒ talented” because missing: bad-tempered. Cannot apply rule “embarrassed ∧ outstandi...
0
6
Facts: Batman is aggressive [PERIOD] Batman is attractive [PERIOD] Batman is vivacious [PERIOD] Batman is bad-tempered [PERIOD] Rules: distinct [AND] plain [AND] jittery [IMPLY] homely [PERIOD] bad-tempered [IMPLY] elated [PERIOD] thoughtful [IMPLY] straightforward [PERIOD] distinct [AND] cooperative [AND] homely [IMP...
Proof chain: bad-tempered ⇒ elated elated ⇒ ambitious attractive ∧ aggressive ⇒ cute cute ⇒ talented vivacious ∧ talented ⇒ fragile ambitious ∧ fragile ⇒ thoughtful
1
6
Facts: Batman is tame [PERIOD] Batman is outstanding [PERIOD] Batman is elegant [PERIOD] Batman is victorious [PERIOD] Batman is impartial [PERIOD] Rules: supportive [AND] plain [IMPLY] impartial [PERIOD] supportive [AND] impartial [IMPLY] plain [PERIOD] uptight [AND] outstanding [AND] attentive [IMPLY] cute [PERIOD] ...
Proof chain: victorious ⇒ rude rude ∧ outstanding ⇒ attentive tame ⇒ tidy victorious ⇒ supportive supportive ∧ impartial ⇒ plain attentive ∧ tidy ∧ plain ⇒ old-fashioned
1
6
Facts: Batman is sleepy [PERIOD] Batman is elated [PERIOD] Batman is different [PERIOD] Batman is victorious [PERIOD] Batman is cruel [PERIOD] Rules: sleepy [IMPLY] ugly [PERIOD] cruel [AND] plain [AND] witty [IMPLY] outstanding [PERIOD] elated [IMPLY] bad-tempered [PERIOD] silly [AND] precious [AND] unpleasant [IMPLY...
Proof chain: sleepy ⇒ ugly ugly ⇒ aggressive Cannot apply rule “aggressive ∧ unpleasant ∧ victorious ⇒ polite” because missing: unpleasant. sleepy ⇒ ugly ugly ⇒ aggressive Cannot apply rule “plain ∧ cooperative ∧ aggressive ⇒ polite” because missing: plain, cooperative.
0
6
Facts: Batman is thoughtless [PERIOD] Batman is frantic [PERIOD] Rules: tidy [AND] fine [AND] old-fashioned [IMPLY] perfect [PERIOD] thoughtless [IMPLY] perfect [PERIOD] fine [IMPLY] worrisome [PERIOD] excited [AND] scared [IMPLY] famous [PERIOD] disgusted [IMPLY] plain [PERIOD] frightened [AND] fine [AND] scared [IMP...
Proof chain: thoughtless ⇒ scared Cannot apply rule “excited ∧ scared ⇒ famous” because missing: excited. thoughtless ⇒ scared scared ⇒ frightened frightened ⇒ disgusted Cannot apply rule “rude ∧ disgusted ⇒ famous” because missing: rude.
0
6
Facts: Batman is plain [PERIOD] Batman is popular [PERIOD] Batman is fragile [PERIOD] Batman is clumsy [PERIOD] Rules: plain [AND] charming [AND] average [IMPLY] beautiful [PERIOD] average [AND] charming [IMPLY] hurt [PERIOD] hurt [AND] average [IMPLY] alert [PERIOD] elated [AND] alert [AND] beautiful [IMPLY] agreeabl...
Proof chain: fragile ⇒ alert alert ⇒ agreeable agreeable ∧ popular ⇒ curious fragile ⇒ hurt hurt ⇒ vivacious curious ∧ vivacious ⇒ strange
1
6
Facts: Batman is confused [PERIOD] Batman is hypocritical [PERIOD] Batman is agreeable [PERIOD] Rules: confused [IMPLY] comfortable [PERIOD] elated [AND] horrible [IMPLY] comfortable [PERIOD] friendly [AND] old-fashioned [AND] excited [IMPLY] light [PERIOD] agreeable [AND] confused [AND] broad-minded [IMPLY] selfish [...
Proof chain: confused ⇒ comfortable comfortable ⇒ quaint quaint ⇒ light confused ⇒ comfortable comfortable ⇒ quaint light ∧ quaint ⇒ bored
1
6
Facts: Batman is cruel [PERIOD] Batman is thoughtless [PERIOD] Rules: gleaming [AND] inexpensive [AND] grumpy [IMPLY] cruel [PERIOD] agreeable [AND] unpleasant [IMPLY] cruel [PERIOD] gleaming [AND] cruel [AND] attractive [IMPLY] grumpy [PERIOD] thoughtless [AND] unpleasant [AND] worried [IMPLY] attractive [PERIOD] rat...
Proof chain: cruel ⇒ attractive thoughtless ∧ attractive ⇒ unpleasant thoughtless ∧ unpleasant ⇒ gleaming cruel ⇒ attractive gleaming ∧ cruel ∧ attractive ⇒ grumpy grumpy ⇒ agreeable
1
6
Facts: Batman is modern [PERIOD] Batman is gorgeous [PERIOD] Rules: serious [IMPLY] blushing [PERIOD] outstanding [IMPLY] straightforward [PERIOD] difficult [IMPLY] serious [PERIOD] modern [AND] outstanding [AND] outrageous [IMPLY] talkative [PERIOD] wide-eyed [AND] broad-minded [IMPLY] outrageous [PERIOD] plain [AND]...
Proof chain: modern ⇒ talkative talkative ⇒ clumsy clumsy ⇒ disobedient disobedient ⇒ difficult difficult ⇒ serious Cannot apply rule “serious ∧ modern ∧ perfect ⇒ enchanting” because missing: perfect.
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6
Facts: Rules: bored [AND] attentive [AND] plain [IMPLY] scared [PERIOD] hilarious [AND] fancy [AND] careless [IMPLY] serious [PERIOD] frail [AND] serious [IMPLY] bored [PERIOD] fancy [AND] lonely [AND] bossy [IMPLY] jittery [PERIOD] attentive [AND] light [AND] enchanting [IMPLY] smart [PERIOD] plain [AND] troubled [IM...
Proof chain: Cannot apply rule “plain ⇒ bright” because missing: plain. Cannot apply rule “fancy ∧ smart ⇒ bright” because missing: fancy, smart. Cannot apply rule “troubled ∧ fancy ⇒ bright” because missing: troubled, fancy. Cannot apply rule “hilarious ∧ talented ⇒ bright” because missing: hilarious, tale...
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6
Facts: Batman is sincere [PERIOD] Batman is gorgeous [PERIOD] Rules: disgusted [IMPLY] adorable [PERIOD] busy [AND] naughty [IMPLY] scared [PERIOD] sincere [AND] pessimistic [AND] gifted [IMPLY] outrageous [PERIOD] sincere [AND] naughty [IMPLY] pessimistic [PERIOD] sincere [AND] naughty [AND] combative [IMPLY] smart [...
Proof chain: Cannot apply rule “disgusted ⇒ adorable” because missing: disgusted. Cannot apply rule “sensible ∧ jittery ∧ zealous ⇒ adorable” because missing: sensible, jittery, zealous. sincere ⇒ busy busy ⇒ smart Cannot apply rule “gifted ∧ sensible ∧ smart ⇒ adorable” because missing: gifted, sensible...
0
6
Facts: Batman is weary [PERIOD] Batman is cruel [PERIOD] Batman is popular [PERIOD] Batman is homely [PERIOD] Rules: cruel [AND] weary [IMPLY] modern [PERIOD] cute [AND] cruel [IMPLY] modern [PERIOD] broad-minded [IMPLY] outrageous [PERIOD] shy [AND] cute [AND] clumsy [IMPLY] outrageous [PERIOD] embarrassed [IMPLY] po...
Proof chain: homely ⇒ busy homely ∧ popular ⇒ broad-minded popular ∧ cruel ∧ broad-minded ⇒ cute homely ⇒ clumsy homely ∧ cute ∧ clumsy ⇒ plain busy ∧ plain ⇒ victorious
1
6
Facts: Batman is bored [PERIOD] Batman is bossy [PERIOD] Batman is inquisitive [PERIOD] Batman is scared [PERIOD] Batman is clumsy [PERIOD] Rules: diplomatic [IMPLY] bossy [PERIOD] inquisitive [IMPLY] wrong [PERIOD] worried [AND] bored [AND] broad-minded [IMPLY] scared [PERIOD] innocent [AND] selfish [IMPLY] wrong [PE...
Proof chain: inquisitive ∧ scared ⇒ good inquisitive ∧ scared ⇒ good bored ⇒ wrong good ∧ wrong ∧ bored ⇒ broad-minded scared ⇒ dull good ∧ broad-minded ∧ dull ⇒ disobedient
1
6
Facts: Rules: calm [IMPLY] clean [PERIOD] combative [AND] dishonest [AND] perfect [IMPLY] thoughtless [PERIOD] hurt [AND] wrong [IMPLY] bossy [PERIOD] frantic [IMPLY] dishonest [PERIOD] dishonest [AND] weary [AND] thoughtless [IMPLY] calm [PERIOD] sensible [AND] perfect [AND] frantic [IMPLY] calm [PERIOD] sensible [AN...
Proof chain: Cannot apply rule “silly ⇒ wandering” because missing: silly. Cannot apply rule “hurt ∧ clean ∧ weary ⇒ wandering” because missing: hurt, clean, weary. Cannot apply rule “perfect ∧ busy ⇒ wandering” because missing: perfect, busy. Cannot apply rule “wrong ∧ bossy ⇒ wandering” because missing: w...
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6
Facts: Batman is long [PERIOD] Batman is gorgeous [PERIOD] Batman is anxious [PERIOD] Batman is charming [PERIOD] Rules: selfish [AND] elated [AND] serious [IMPLY] charming [PERIOD] charming [IMPLY] anxious [PERIOD] victorious [IMPLY] charming [PERIOD] gorgeous [AND] joyous [AND] helpful [IMPLY] selfish [PERIOD] tame ...
Proof chain: charming ⇒ elated elated ⇒ precious charming ⇒ elated elated ⇒ precious precious ∧ gorgeous ⇒ versatile gorgeous ∧ precious ∧ versatile ⇒ proud
1
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Facts: Batman is frightened [PERIOD] Batman is bad-tempered [PERIOD] Rules: bad-tempered [AND] gifted [IMPLY] confused [PERIOD] gifted [AND] shy [IMPLY] sleepy [PERIOD] versatile [AND] dishonest [AND] frightened [IMPLY] bad-tempered [PERIOD] elegant [IMPLY] homely [PERIOD] elegant [AND] frightened [IMPLY] muddy [PERIO...
Proof chain: Cannot apply rule “gifted ⇒ dishonest” because missing: gifted. bad-tempered ⇒ sleepy sleepy ⇒ elegant elegant ⇒ homely bad-tempered ⇒ sleepy Cannot apply rule “homely ∧ versatile ∧ sleepy ⇒ dishonest” because missing: versatile.
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6
Facts: Batman is confident [PERIOD] Batman is condemned [PERIOD] Rules: cooperative [AND] mean [AND] tender [IMPLY] muddy [PERIOD] condemned [IMPLY] tame [PERIOD] tame [IMPLY] condemned [PERIOD] proud [AND] mean [AND] condemned [IMPLY] modern [PERIOD] tender [AND] tame [IMPLY] cooperative [PERIOD] proud [IMPLY] mean [...
Proof chain: condemned ⇒ clean clean ⇒ mean condemned ⇒ clean mean ∧ clean ⇒ muddy muddy ⇒ modern confident ∧ condemned ∧ modern ⇒ cooperative
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Facts: Rules: selfish [IMPLY] talkative [PERIOD] talkative [AND] selfish [AND] cooperative [IMPLY] sleepy [PERIOD] talkative [AND] cooperative [AND] wide-eyed [IMPLY] sleepy [PERIOD] cooperative [AND] selfish [IMPLY] sleepy [PERIOD] sleepy [AND] cooperative [AND] wide-eyed [IMPLY] selfish [PERIOD] wide-eyed [AND] coop...
Proof chain: Cannot apply rule “talkative ∧ selfish ∧ cooperative ⇒ sleepy” because missing: talkative, selfish, cooperative. Cannot apply rule “talkative ∧ cooperative ∧ wide-eyed ⇒ sleepy” because missing: talkative, cooperative, wide-eyed. Cannot apply rule “cooperative ∧ selfish ⇒ sleepy” because missing: ...
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6
Facts: Batman is hurt [PERIOD] Rules: naughty [AND] impartial [IMPLY] stupid [PERIOD] sensible [IMPLY] joyous [PERIOD] sensible [IMPLY] helpless [PERIOD] broad-minded [IMPLY] fragile [PERIOD] bossy [IMPLY] hurt [PERIOD] distinct [IMPLY] sensible [PERIOD] naughty [IMPLY] stubborn [PERIOD] hurt [AND] innocent [IMPLY] se...
Proof chain: Cannot apply rule “jittery ∧ joyous ⇒ impartial” because missing: jittery, joyous. Cannot apply rule “broad-minded ∧ grumpy ⇒ impartial” because missing: broad-minded, grumpy. Cannot apply rule “jittery ∧ gorgeous ⇒ impartial” because missing: jittery, gorgeous. Cannot apply rule “helpless ∧ po...
0
6
Facts: Batman is diplomatic [PERIOD] Batman is light [PERIOD] Batman is proud [PERIOD] Batman is witty [PERIOD] Batman is troubled [PERIOD] Batman is enchanting [PERIOD] Batman is shy [PERIOD] Batman is dishonest [PERIOD] Rules: popular [AND] frightened [AND] witty [IMPLY] diplomatic [PERIOD] witty [AND] condemned [AN...
Proof chain: diplomatic ⇒ horrible light ⇒ bored light ⇒ attentive attentive ⇒ popular horrible ∧ bored ∧ popular ⇒ frightened frightened ⇒ gorgeous
1
6
Facts: Rules: easy [IMPLY] lonely [PERIOD] beautiful [IMPLY] lonely [PERIOD] frail [AND] excited [AND] lonely [IMPLY] elated [PERIOD] fancy [AND] lonely [IMPLY] dull [PERIOD] dull [AND] easy [AND] elated [IMPLY] lonely [PERIOD] dull [AND] lonely [IMPLY] beautiful [PERIOD] beautiful [AND] easy [AND] lonely [IMPLY] dull...
Proof chain: Cannot apply rule “easy ⇒ lonely” because missing: easy. Cannot apply rule “beautiful ⇒ lonely” because missing: beautiful. Cannot apply rule “dull ∧ easy ∧ elated ⇒ lonely” because missing: dull, easy, elated. Cannot apply rule “frail ∧ elated ∧ excited ⇒ lonely” because missing: frail, elated...
0
6
Facts: Batman is agreeable [PERIOD] Batman is innocent [PERIOD] Batman is troubled [PERIOD] Batman is courageous [PERIOD] Batman is average [PERIOD] Rules: courageous [AND] stormy [AND] good [IMPLY] mysterious [PERIOD] fearless [AND] easy [AND] agreeable [IMPLY] mysterious [PERIOD] easy [IMPLY] average [PERIOD] anxiou...
Proof chain: innocent ⇒ bright average ⇒ unpleasant innocent ⇒ bright unpleasant ∧ bright ⇒ anxious anxious ⇒ good innocent ∧ bright ∧ good ⇒ easy
1
6
Facts: Batman is perfect [PERIOD] Rules: powerful [AND] versatile [IMPLY] outstanding [PERIOD] attractive [AND] outstanding [AND] agreeable [IMPLY] polite [PERIOD] agreeable [IMPLY] gifted [PERIOD] powerful [IMPLY] gifted [PERIOD] attractive [AND] powerful [IMPLY] perfect [PERIOD] outstanding [IMPLY] broad-minded [PER...
Proof chain: perfect ⇒ versatile perfect ⇒ versatile versatile ⇒ polite versatile ∧ perfect ∧ polite ⇒ powerful perfect ⇒ versatile powerful ∧ versatile ⇒ outstanding
1
6
Facts: Batman is troubled [PERIOD] Batman is fancy [PERIOD] Batman is dishonest [PERIOD] Batman is diplomatic [PERIOD] Batman is reserved [PERIOD] Batman is shiny [PERIOD] Batman is versatile [PERIOD] Batman is helpless [PERIOD] Rules: popular [IMPLY] calm [PERIOD] diplomatic [AND] different [AND] calm [IMPLY] attenti...
Proof chain: diplomatic ⇒ innocent innocent ∧ troubled ⇒ clumsy clumsy ∧ troubled ∧ versatile ⇒ attractive fancy ⇒ proud helpless ∧ diplomatic ⇒ attentive attractive ∧ proud ∧ attentive ⇒ silly
1
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Facts: Batman is frantic [PERIOD] Batman is old-fashioned [PERIOD] Batman is inquisitive [PERIOD] Batman is hilarious [PERIOD] Batman is helpless [PERIOD] Batman is condemned [PERIOD] Batman is uptight [PERIOD] Batman is innocent [PERIOD] Rules: alert [IMPLY] innocent [PERIOD] intellectual [AND] comfortable [AND] good...
Proof chain: hilarious ∧ uptight ⇒ rude rude ⇒ mysterious hilarious ∧ uptight ⇒ rude rude ⇒ mysterious mysterious ⇒ light Cannot apply rule “mysterious ∧ light ∧ beautiful ⇒ long” because missing: beautiful.
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Facts: Rules: average [AND] perfect [AND] bright [IMPLY] witty [PERIOD] mysterious [AND] ambitious [AND] serious [IMPLY] bright [PERIOD] distinct [AND] bossy [AND] bright [IMPLY] witty [PERIOD] famous [AND] distinct [IMPLY] mysterious [PERIOD] witty [AND] innocent [AND] spotless [IMPLY] perfect [PERIOD] witty [IMPLY] ...
Proof chain: Cannot apply rule “witty ∧ innocent ∧ spotless ⇒ perfect” because missing: witty, innocent, spotless. Cannot apply rule “bossy ⇒ perfect” because missing: bossy. Cannot apply rule “famous ⇒ perfect” because missing: famous. Cannot apply rule “innocent ∧ bossy ⇒ perfect” because missing: innocen...
0
6
Facts: Rules: tidy [AND] tame [IMPLY] average [PERIOD] tame [AND] unpleasant [AND] average [IMPLY] attractive [PERIOD] tense [IMPLY] troubled [PERIOD] clean [AND] tense [AND] tidy [IMPLY] tame [PERIOD] tidy [AND] troubled [IMPLY] tender [PERIOD] clean [AND] tense [IMPLY] average [PERIOD] clean [AND] tidy [IMPLY] unple...
Proof chain: Cannot apply rule “tidy ∧ tame ⇒ average” because missing: tidy, tame. Cannot apply rule “clean ∧ tense ⇒ average” because missing: clean, tense. Cannot apply rule “tidy ⇒ average” because missing: tidy. Cannot apply rule “attractive ∧ unpleasant ∧ tense ⇒ average” because missing: attractive, ...
0
6
Facts: Rules: adorable [AND] amused [AND] horrible [IMPLY] careless [PERIOD] adorable [IMPLY] amused [PERIOD] horrible [AND] exuberant [IMPLY] amused [PERIOD] careless [IMPLY] amused [PERIOD] exuberant [AND] horrible [IMPLY] careless [PERIOD] exuberant [AND] amused [IMPLY] adorable [PERIOD] horrible [AND] adorable [AN...
Proof chain: Cannot apply rule “adorable ⇒ amused” because missing: adorable. Cannot apply rule “horrible ∧ exuberant ⇒ amused” because missing: horrible, exuberant. Cannot apply rule “careless ⇒ amused” because missing: careless. Cannot apply rule “horrible ∧ adorable ∧ exuberant ⇒ amused” because missing:...
0
6
Facts: Rules: excited [AND] courageous [IMPLY] vivacious [PERIOD] attentive [AND] strange [IMPLY] vivacious [PERIOD] excited [IMPLY] wide-eyed [PERIOD] excited [IMPLY] horrible [PERIOD] wide-eyed [AND] excited [IMPLY] courageous [PERIOD] wide-eyed [IMPLY] courageous [PERIOD] excited [AND] attentive [AND] strange [IMPL...
Proof chain: Cannot apply rule “excited ⇒ horrible” because missing: excited. Cannot apply rule “courageous ∧ strange ⇒ horrible” because missing: courageous, strange. Cannot apply rule “courageous ⇒ horrible” because missing: courageous. Cannot apply rule “vivacious ∧ excited ∧ strange ⇒ horrible” because ...
0
6
Facts: Batman is impartial [PERIOD] Batman is mysterious [PERIOD] Rules: impartial [IMPLY] plain [PERIOD] confident [IMPLY] charming [PERIOD] inquisitive [AND] helpful [AND] outrageous [IMPLY] impartial [PERIOD] inquisitive [IMPLY] mysterious [PERIOD] mysterious [AND] loving [AND] inquisitive [IMPLY] ugly [PERIOD] out...
Proof chain: impartial ⇒ loving loving ∧ mysterious ⇒ shy Cannot apply rule “shy ∧ helpful ⇒ innocent” because missing: helpful. Cannot apply rule “charming ⇒ innocent” because missing: charming. impartial ⇒ loving Cannot apply rule “outrageous ∧ loving ⇒ innocent” because missing: outrageous.
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Facts: Batman is troubled [PERIOD] Batman is versatile [PERIOD] Rules: uptight [AND] zealous [IMPLY] fragile [PERIOD] troubled [IMPLY] attractive [PERIOD] thoughtless [IMPLY] alert [PERIOD] reserved [AND] frail [AND] uptight [IMPLY] tender [PERIOD] cooperative [AND] fragile [IMPLY] troubled [PERIOD] anxious [AND] rese...
Proof chain: troubled ⇒ attractive attractive ∧ troubled ⇒ thoughtless Cannot apply rule “reserved ∧ thoughtless ⇒ inexpensive” because missing: reserved. troubled ⇒ attractive attractive ∧ troubled ⇒ thoughtless Cannot apply rule “zealous ∧ thoughtless ⇒ inexpensive” because missing: zealous.
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Facts: Batman is stupid [PERIOD] Batman is talented [PERIOD] Batman is vivacious [PERIOD] Batman is bossy [PERIOD] Batman is thoughtful [PERIOD] Batman is straightforward [PERIOD] Batman is foolish [PERIOD] Batman is precious [PERIOD] Rules: gifted [AND] sleepy [AND] ugliest [IMPLY] difficult [PERIOD] tame [IMPLY] cou...
Proof chain: foolish ∧ bossy ⇒ smart smart ⇒ hurt stupid ⇒ cute cute ⇒ wide-eyed hurt ∧ wide-eyed ⇒ ugliest Cannot apply rule “gifted ∧ sleepy ∧ ugliest ⇒ difficult” because missing: gifted, sleepy.
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Facts: Batman is hypocritical [PERIOD] Rules: hypocritical [AND] thoughtful [IMPLY] cruel [PERIOD] silly [AND] shiny [IMPLY] vivacious [PERIOD] ugly [AND] alert [AND] hypocritical [IMPLY] silly [PERIOD] distinct [AND] silly [AND] dishonest [IMPLY] joyous [PERIOD] elated [AND] perfect [AND] anxious [IMPLY] mean [PERIOD...
Proof chain: hypocritical ⇒ shiny shiny ⇒ perfect hypocritical ⇒ shiny shiny ⇒ amused perfect ∧ amused ⇒ stupid stupid ⇒ worrisome
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Facts: Batman is crowded [PERIOD] Batman is foolish [PERIOD] Batman is comfortable [PERIOD] Rules: talented [IMPLY] good [PERIOD] bright [AND] comfortable [IMPLY] clumsy [PERIOD] supportive [AND] foolish [IMPLY] clumsy [PERIOD] clumsy [AND] calm [AND] bright [IMPLY] crowded [PERIOD] supportive [AND] crowded [IMPLY] pe...
Proof chain: comfortable ⇒ pessimistic pessimistic ⇒ bright comfortable ⇒ pessimistic pessimistic ⇒ bright bright ∧ comfortable ⇒ clumsy bright ∧ clumsy ⇒ calm
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Facts: Batman is bad-tempered [PERIOD] Batman is proud [PERIOD] Batman is confident [PERIOD] Batman is combative [PERIOD] Batman is cute [PERIOD] Batman is difficult [PERIOD] Batman is dull [PERIOD] Batman is troubled [PERIOD] Batman is stubborn [PERIOD] Batman is distinct [PERIOD] Batman is comfortable [PERIOD] Batma...
Proof chain: stubborn ⇒ sincere comfortable ∧ fragile ⇒ calm bad-tempered ⇒ old-fashioned sincere ∧ calm ∧ old-fashioned ⇒ straightforward comfortable ∧ straightforward ⇒ friendly bad-tempered ∧ dull ∧ friendly ⇒ average
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Facts: Batman is cute [PERIOD] Batman is clumsy [PERIOD] Batman is frail [PERIOD] Batman is ugliest [PERIOD] Rules: elated [AND] helpful [AND] beautiful [IMPLY] nervous [PERIOD] beautiful [AND] cute [AND] versatile [IMPLY] ugliest [PERIOD] attractive [IMPLY] precious [PERIOD] elated [AND] helpful [IMPLY] tense [PERIOD...
Proof chain: ugliest ⇒ nervous clumsy ⇒ helpful ugliest ∧ clumsy ⇒ elated clumsy ⇒ helpful elated ∧ helpful ⇒ tense nervous ∧ helpful ∧ tense ⇒ sincere
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Facts: Batman is straightforward [PERIOD] Batman is long [PERIOD] Batman is frantic [PERIOD] Rules: straightforward [AND] quaint [AND] impartial [IMPLY] aggressive [PERIOD] distinct [AND] serious [IMPLY] aggressive [PERIOD] sleepy [AND] distinct [IMPLY] foolish [PERIOD] distinct [AND] sleepy [AND] victorious [IMPLY] q...
Proof chain: long ⇒ worried worried ⇒ zealous long ⇒ worried long ⇒ worried worried ⇒ distinct zealous ∧ worried ∧ distinct ⇒ witty
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Facts: Batman is good [PERIOD] Batman is bright [PERIOD] Batman is fine [PERIOD] Batman is grumpy [PERIOD] Rules: loving [AND] gleaming [AND] rational [IMPLY] smart [PERIOD] scared [AND] bright [AND] good [IMPLY] inquisitive [PERIOD] jittery [AND] cruel [AND] aggressive [IMPLY] frantic [PERIOD] disgusted [IMPLY] beaut...
Proof chain: Cannot apply rule “good ∧ beautiful ∧ scared ⇒ jittery” because missing: beautiful, scared. good ⇒ thoughtless fine ⇒ glamorous thoughtless ∧ glamorous ⇒ ugliest Cannot apply rule “tense ∧ ugliest ⇒ jittery” because missing: tense. Cannot apply rule “tense ⇒ jittery” because missing: tens...
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Facts: Batman is frightened [PERIOD] Batman is careless [PERIOD] Batman is beautiful [PERIOD] Batman is cute [PERIOD] Batman is light [PERIOD] Batman is hurt [PERIOD] Batman is homely [PERIOD] Batman is combative [PERIOD] Rules: stupid [AND] modern [AND] attractive [IMPLY] rude [PERIOD] troubled [IMPLY] modern [PERIOD...
Proof chain: cute ⇒ old-fashioned old-fashioned ⇒ distinct cute ⇒ old-fashioned careless ∧ old-fashioned ⇒ dishonest dishonest ⇒ outstanding distinct ∧ outstanding ⇒ cooperative
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Facts: Rules: cooperative [AND] combative [AND] courageous [IMPLY] versatile [PERIOD] elated [AND] cruel [IMPLY] cooperative [PERIOD] glamorous [AND] frail [AND] combative [IMPLY] fragile [PERIOD] frail [AND] elated [AND] courageous [IMPLY] cruel [PERIOD] victorious [IMPLY] courageous [PERIOD] versatile [AND] combativ...
Proof chain: Cannot apply rule “courageous ∧ shy ⇒ victorious” because missing: courageous, shy. Cannot apply rule “cooperative ⇒ victorious” because missing: cooperative. Cannot apply rule “courageous ⇒ victorious” because missing: courageous. Cannot apply rule “combative ∧ spotless ∧ elated ⇒ victorious” ...
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Facts: Batman is inquisitive [PERIOD] Batman is ugly [PERIOD] Rules: clumsy [IMPLY] attentive [PERIOD] anxious [AND] famous [AND] clumsy [IMPLY] wrong [PERIOD] friendly [AND] wide-eyed [IMPLY] clumsy [PERIOD] clumsy [AND] foolish [IMPLY] wrong [PERIOD] busy [AND] wrong [AND] ugly [IMPLY] bad-tempered [PERIOD] attentiv...
Proof chain: Cannot apply rule “anxious ∧ famous ∧ clumsy ⇒ wrong” because missing: anxious, famous, clumsy. Cannot apply rule “clumsy ∧ foolish ⇒ wrong” because missing: clumsy, foolish. Cannot apply rule “friendly ∧ cooperative ⇒ wrong” because missing: friendly, cooperative. Cannot apply rule “fine ∧ anx...
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Facts: Batman is plain [PERIOD] Batman is bad-tempered [PERIOD] Batman is shy [PERIOD] Rules: ambitious [IMPLY] bad-tempered [PERIOD] shy [IMPLY] proud [PERIOD] joyous [AND] tame [AND] victorious [IMPLY] glamorous [PERIOD] curious [AND] ambitious [IMPLY] attractive [PERIOD] stormy [AND] uptight [IMPLY] gorgeous [PERIO...
Proof chain: Cannot apply rule “joyous ∧ tame ∧ victorious ⇒ glamorous” because missing: joyous, tame, victorious. Cannot apply rule “victorious ∧ old-fashioned ⇒ glamorous” because missing: victorious, old-fashioned. Cannot apply rule “joyous ∧ plain ⇒ glamorous” because missing: joyous. bad-tempered ⇒ att...
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