Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is mysterious [PERIOD] Batman is fearless [PERIOD] Rules: inexpensive [AND] tidy [IMPLY] stupid [PERIOD] attentive [IMPLY] fearless [PERIOD] jittery [AND] fragile [IMPLY] gifted [PERIOD] wide-eyed [AND] modern [AND] fancy [IMPLY] talkative [PERIOD] talkative [AND] tame [AND] stupid [IMPLY] agreeable [PER...
Proof chain: Cannot apply rule “tender ⇒ precious” because missing: tender. fearless ⇒ inexpensive Cannot apply rule “fearless ∧ talkative ∧ inexpensive ⇒ precious” because missing: talkative. Cannot apply rule “famous ⇒ precious” because missing: famous.
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Facts: Batman is disobedient [PERIOD] Batman is tender [PERIOD] Batman is average [PERIOD] Batman is weary [PERIOD] Batman is muddy [PERIOD] Rules: fancy [AND] smart [AND] thoughtful [IMPLY] ugly [PERIOD] diplomatic [AND] comfortable [IMPLY] weary [PERIOD] loving [IMPLY] rational [PERIOD] comfortable [AND] sensible [A...
Proof chain: disobedient ⇒ plain plain ∧ average ⇒ rational weary ∧ tender ∧ muddy ⇒ fearless rational ∧ average ∧ fearless ⇒ dull
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Facts: Rules: scared [IMPLY] dull [PERIOD] dull [AND] victorious [IMPLY] gifted [PERIOD] scared [IMPLY] naughty [PERIOD] victorious [AND] dull [AND] tense [IMPLY] naughty [PERIOD] naughty [IMPLY] dull [PERIOD] gifted [IMPLY] busy [PERIOD] ambitious [IMPLY] victorious [PERIOD] tender [AND] impartial [IMPLY] tense [PERI...
Proof chain: Cannot apply rule “dull ∧ victorious ⇒ gifted” because missing: dull, victorious. Cannot apply rule “busy ∧ impartial ⇒ gifted” because missing: busy, impartial. Cannot apply rule “tender ⇒ gifted” because missing: tender. Cannot apply rule “busy ∧ victorious ∧ scared ⇒ gifted” because missing:...
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Facts: Batman is helpful [PERIOD] Batman is polite [PERIOD] Batman is grumpy [PERIOD] Batman is outrageous [PERIOD] Batman is clean [PERIOD] Batman is comfortable [PERIOD] Batman is famous [PERIOD] Rules: inquisitive [IMPLY] ugly [PERIOD] grumpy [AND] bright [AND] witty [IMPLY] polite [PERIOD] pessimistic [AND] smart ...
Proof chain: comfortable ⇒ silly grumpy ⇒ lucky famous ⇒ dishonest silly ∧ lucky ∧ dishonest ⇒ fine
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Facts: Batman is friendly [PERIOD] Batman is ambitious [PERIOD] Batman is helpful [PERIOD] Batman is hurt [PERIOD] Batman is combative [PERIOD] Batman is impatient [PERIOD] Batman is embarrassed [PERIOD] Batman is clumsy [PERIOD] Batman is grumpy [PERIOD] Rules: busy [IMPLY] friendly [PERIOD] comfortable [AND] impatie...
Proof chain: impatient ⇒ foolish foolish ⇒ mean mean ⇒ different different ⇒ fancy
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Facts: Batman is horrible [PERIOD] Batman is polite [PERIOD] Batman is thoughtless [PERIOD] Batman is tender [PERIOD] Batman is perfect [PERIOD] Batman is thoughtful [PERIOD] Batman is impatient [PERIOD] Rules: ambitious [IMPLY] thoughtful [PERIOD] thoughtless [AND] naughty [IMPLY] wrong [PERIOD] ambitious [IMPLY] tho...
Proof chain: perfect ∧ polite ⇒ naughty horrible ⇒ homely perfect ∧ homely ⇒ wrong naughty ∧ polite ∧ wrong ⇒ uptight
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Facts: Batman is calm [PERIOD] Batman is talkative [PERIOD] Batman is aggressive [PERIOD] Batman is diplomatic [PERIOD] Rules: vivacious [AND] amused [IMPLY] attractive [PERIOD] fragile [AND] diplomatic [AND] aggressive [IMPLY] nervous [PERIOD] vivacious [IMPLY] amused [PERIOD] talkative [AND] diplomatic [IMPLY] fearl...
Proof chain: Cannot apply rule “vivacious ∧ amused ⇒ attractive” because missing: vivacious, amused. Cannot apply rule “nervous ∧ amused ∧ diplomatic ⇒ attractive” because missing: nervous, amused. Cannot apply rule “nervous ∧ diplomatic ∧ innocent ⇒ attractive” because missing: nervous, innocent. Cannot ap...
0
4
Facts: Batman is hypocritical [PERIOD] Batman is tame [PERIOD] Rules: bored [IMPLY] dull [PERIOD] hypocritical [AND] tame [IMPLY] comfortable [PERIOD] diplomatic [AND] messy [AND] ugly [IMPLY] comfortable [PERIOD] sleepy [IMPLY] tame [PERIOD] tense [AND] bored [IMPLY] ugly [PERIOD] diplomatic [AND] ambitious [AND] tam...
Proof chain: Cannot apply rule “dull ∧ tense ∧ distinct ⇒ messy” because missing: dull, tense, distinct. Cannot apply rule “sleepy ∧ hypocritical ∧ tense ⇒ messy” because missing: sleepy, tense. Cannot apply rule “enchanting ∧ cruel ∧ ugly ⇒ messy” because missing: enchanting, cruel, ugly. Cannot apply rule...
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Facts: Batman is comfortable [PERIOD] Batman is cooperative [PERIOD] Batman is cute [PERIOD] Batman is cruel [PERIOD] Batman is average [PERIOD] Batman is sensible [PERIOD] Batman is thoughtless [PERIOD] Batman is gifted [PERIOD] Batman is hypocritical [PERIOD] Batman is old-fashioned [PERIOD] Batman is messy [PERIOD]...
Proof chain: gifted ⇒ frightened average ∧ cruel ⇒ dull dull ∧ comfortable ∧ thoughtless ⇒ impatient frightened ∧ impatient ⇒ muddy
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Facts: Batman is tame [PERIOD] Batman is tired [PERIOD] Rules: attentive [AND] tired [IMPLY] light [PERIOD] jittery [IMPLY] cute [PERIOD] strange [AND] ugly [AND] light [IMPLY] anxious [PERIOD] curious [AND] helpful [IMPLY] homely [PERIOD] light [AND] jittery [AND] inexpensive [IMPLY] stubborn [PERIOD] homely [IMPLY] ...
Proof chain: tired ⇒ helpful helpful ∧ tired ⇒ foolish foolish ⇒ nervous nervous ⇒ ugly
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4
Facts: Rules: broad-minded [IMPLY] mean [PERIOD] aggressive [AND] elegant [AND] bored [IMPLY] confused [PERIOD] elegant [IMPLY] clumsy [PERIOD] aggressive [AND] elegant [IMPLY] zealous [PERIOD] sleepy [IMPLY] confused [PERIOD] bored [AND] outstanding [AND] zealous [IMPLY] confused [PERIOD] fragile [AND] clumsy [AND] z...
Proof chain: Cannot apply rule “fragile ∧ gorgeous ∧ messy ⇒ comfortable” because missing: fragile, gorgeous, messy. Cannot apply rule “outstanding ∧ wandering ∧ mean ⇒ comfortable” because missing: outstanding, wandering, mean. Cannot apply rule “messy ∧ tame ⇒ comfortable” because missing: messy, tame. Ca...
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4
Facts: Batman is old-fashioned [PERIOD] Batman is stubborn [PERIOD] Batman is vivacious [PERIOD] Batman is smart [PERIOD] Batman is tame [PERIOD] Batman is fine [PERIOD] Rules: agreeable [IMPLY] fine [PERIOD] modern [AND] confident [AND] quaint [IMPLY] tame [PERIOD] sincere [AND] sensible [AND] cruel [IMPLY] stubborn ...
Proof chain: smart ⇒ quaint quaint ⇒ jittery stubborn ⇒ zealous vivacious ∧ jittery ∧ zealous ⇒ sensible
1
4
Facts: Batman is thoughtless [PERIOD] Batman is serious [PERIOD] Batman is bright [PERIOD] Batman is bad-tempered [PERIOD] Batman is silly [PERIOD] Batman is comfortable [PERIOD] Batman is fragile [PERIOD] Batman is embarrassed [PERIOD] Batman is joyous [PERIOD] Batman is mean [PERIOD] Batman is helpless [PERIOD] Rule...
Proof chain: comfortable ∧ thoughtless ⇒ pleasant bad-tempered ⇒ talented pleasant ∧ talented ∧ thoughtless ⇒ weary weary ⇒ ugly
1
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Facts: Batman is bored [PERIOD] Batman is scared [PERIOD] Batman is disgusted [PERIOD] Rules: thoughtless [AND] bossy [AND] bored [IMPLY] tender [PERIOD] pessimistic [AND] gifted [IMPLY] polite [PERIOD] precious [AND] bossy [AND] polite [IMPLY] mean [PERIOD] proud [AND] mean [IMPLY] disgusted [PERIOD] crowded [AND] pr...
Proof chain: scared ⇒ intellectual intellectual ⇒ crowded crowded ⇒ worrisome worrisome ⇒ bossy
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Facts: Batman is hypocritical [PERIOD] Batman is lucky [PERIOD] Batman is joyous [PERIOD] Batman is calm [PERIOD] Batman is wide-eyed [PERIOD] Rules: hypocritical [AND] rational [AND] thoughtful [IMPLY] weary [PERIOD] plain [AND] exuberant [AND] shy [IMPLY] condemned [PERIOD] weary [AND] fancy [IMPLY] friendly [PERIOD...
Proof chain: wide-eyed ∧ hypocritical ⇒ tame joyous ∧ tame ⇒ weary weary ⇒ perfect perfect ∧ lucky ⇒ condemned
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Facts: Rules: innocent [AND] frantic [IMPLY] hurt [PERIOD] confused [IMPLY] innocent [PERIOD] muddy [AND] innocent [AND] tired [IMPLY] hurt [PERIOD] frantic [AND] confused [IMPLY] thoughtful [PERIOD] fancy [AND] frantic [AND] gifted [IMPLY] talented [PERIOD] confused [AND] muddy [IMPLY] tired [PERIOD] thoughtful [AND]...
Proof chain: Cannot apply rule “talented ∧ confused ⇒ gifted” because missing: talented, confused. Cannot apply rule “fancy ∧ talented ∧ muddy ⇒ gifted” because missing: fancy, talented, muddy. Cannot apply rule “innocent ∧ tired ⇒ gifted” because missing: innocent, tired. Cannot apply rule “frantic ∧ fancy...
0
4
Facts: Batman is crowded [PERIOD] Batman is joyous [PERIOD] Batman is naughty [PERIOD] Batman is bad-tempered [PERIOD] Rules: pleasant [IMPLY] alert [PERIOD] alert [IMPLY] fragile [PERIOD] serious [AND] excited [IMPLY] nervous [PERIOD] nervous [AND] excited [AND] crowded [IMPLY] fragile [PERIOD] alert [IMPLY] nervous ...
Proof chain: joyous ∧ naughty ∧ bad-tempered ⇒ serious crowded ⇒ pleasant pleasant ⇒ alert serious ∧ alert ⇒ cute
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Facts: Batman is fragile [PERIOD] Rules: homely [AND] stupid [IMPLY] muddy [PERIOD] muddy [IMPLY] sensible [PERIOD] courageous [IMPLY] stupid [PERIOD] witty [AND] tame [AND] gleaming [IMPLY] courageous [PERIOD] embarrassed [AND] muddy [IMPLY] gleaming [PERIOD] mysterious [AND] embarrassed [AND] combative [IMPLY] gleam...
Proof chain: Cannot apply rule “witty ∧ tame ∧ gleaming ⇒ courageous” because missing: witty, tame, gleaming. Cannot apply rule “muddy ∧ tame ∧ fine ⇒ courageous” because missing: muddy, tame, fine. Cannot apply rule “stupid ∧ muddy ⇒ courageous” because missing: stupid, muddy. Cannot apply rule “embarrasse...
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4
Facts: Batman is supportive [PERIOD] Rules: tense [IMPLY] frantic [PERIOD] tired [AND] thoughtless [IMPLY] reserved [PERIOD] wrong [IMPLY] enchanting [PERIOD] crowded [AND] zealous [IMPLY] reserved [PERIOD] easy [IMPLY] elated [PERIOD] amused [AND] easy [IMPLY] zealous [PERIOD] crowded [AND] perfect [AND] shy [IMPLY] ...
Proof chain: Cannot apply rule “talkative ∧ stupid ∧ enchanting ⇒ amused” because missing: talkative, stupid, enchanting. Cannot apply rule “wide-eyed ∧ helpless ⇒ amused” because missing: wide-eyed, helpless. Cannot apply rule “frantic ∧ helpless ⇒ amused” because missing: frantic, helpless. Cannot apply r...
0
4
Facts: Batman is beautiful [PERIOD] Batman is precious [PERIOD] Batman is different [PERIOD] Rules: weary [AND] smart [AND] precious [IMPLY] intellectual [PERIOD] intellectual [IMPLY] bossy [PERIOD] different [AND] intellectual [IMPLY] polite [PERIOD] supportive [IMPLY] different [PERIOD] intellectual [AND] light [AND...
Proof chain: different ⇒ bossy bossy ⇒ outrageous outrageous ⇒ light light ⇒ intellectual
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4
Facts: Batman is exuberant [PERIOD] Batman is easy [PERIOD] Batman is thoughtful [PERIOD] Batman is smart [PERIOD] Batman is bossy [PERIOD] Batman is beautiful [PERIOD] Batman is mysterious [PERIOD] Batman is outrageous [PERIOD] Batman is bad-tempered [PERIOD] Batman is precious [PERIOD] Batman is combative [PERIOD] B...
Proof chain: combative ∧ bossy ∧ thoughtful ⇒ spotless beautiful ⇒ fancy spotless ∧ fancy ∧ exuberant ⇒ cruel cruel ⇒ tame
1
4
Facts: Rules: impartial [AND] polite [IMPLY] diplomatic [PERIOD] diplomatic [AND] gleaming [AND] polite [IMPLY] impartial [PERIOD] difficult [AND] impartial [AND] polite [IMPLY] gleaming [PERIOD] difficult [AND] impartial [AND] gleaming [IMPLY] polite [PERIOD] gleaming [AND] polite [AND] difficult [IMPLY] impartial [P...
Proof chain: Cannot apply rule “diplomatic ∧ gleaming ∧ polite ⇒ impartial” because missing: diplomatic, gleaming, polite. Cannot apply rule “gleaming ∧ polite ∧ difficult ⇒ impartial” because missing: gleaming, polite, difficult. Cannot apply rule “gleaming ⇒ impartial” because missing: gleaming. Cannot ap...
0
4
Facts: Batman is wrong [PERIOD] Batman is helpless [PERIOD] Batman is talkative [PERIOD] Batman is careless [PERIOD] Batman is sensible [PERIOD] Batman is curious [PERIOD] Batman is reserved [PERIOD] Batman is wandering [PERIOD] Batman is scared [PERIOD] Batman is beautiful [PERIOD] Rules: outrageous [AND] selfish [IM...
Proof chain: talkative ∧ wrong ⇒ inexpensive wrong ∧ inexpensive ∧ curious ⇒ amused talkative ∧ wrong ⇒ inexpensive wandering ∧ amused ∧ inexpensive ⇒ embarrassed
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4
Facts: Batman is popular [PERIOD] Batman is shiny [PERIOD] Batman is frightened [PERIOD] Batman is famous [PERIOD] Rules: lucky [AND] rude [AND] ambitious [IMPLY] famous [PERIOD] difficult [AND] lucky [IMPLY] shiny [PERIOD] popular [AND] difficult [IMPLY] lucky [PERIOD] calm [AND] rude [AND] famous [IMPLY] frightened ...
Proof chain: famous ⇒ mysterious mysterious ∧ popular ⇒ loving loving ∧ famous ⇒ difficult popular ∧ difficult ⇒ lucky
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Facts: Batman is aggressive [PERIOD] Batman is inexpensive [PERIOD] Batman is good [PERIOD] Batman is mysterious [PERIOD] Batman is hurt [PERIOD] Batman is impartial [PERIOD] Batman is jittery [PERIOD] Batman is shy [PERIOD] Batman is gifted [PERIOD] Rules: hurt [IMPLY] tender [PERIOD] wide-eyed [AND] sleepy [AND] sup...
Proof chain: gifted ∧ mysterious ⇒ supportive Cannot apply rule “vivacious ∧ gifted ∧ supportive ⇒ frantic” because missing: vivacious. hurt ⇒ tender Cannot apply rule “tender ∧ worrisome ⇒ frantic” because missing: worrisome.
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Facts: Rules: good [IMPLY] impartial [PERIOD] zealous [AND] mysterious [IMPLY] impartial [PERIOD] zealous [AND] mysterious [IMPLY] ambitious [PERIOD] mysterious [IMPLY] impartial [PERIOD] busy [AND] serious [IMPLY] rude [PERIOD] ambitious [AND] joyous [IMPLY] worrisome [PERIOD] ambitious [IMPLY] impartial [PERIOD] amb...
Proof chain: Cannot apply rule “serious ∧ rude ⇒ good” because missing: serious, rude. Cannot apply rule “ambitious ∧ zealous ⇒ good” because missing: ambitious, zealous. Cannot apply rule “zealous ∧ impartial ∧ rude ⇒ good” because missing: zealous, impartial, rude. Cannot apply rule “mysterious ∧ zealous ...
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4
Facts: Batman is cute [PERIOD] Batman is distinct [PERIOD] Batman is elated [PERIOD] Rules: crowded [IMPLY] diplomatic [PERIOD] condemned [AND] tender [AND] distinct [IMPLY] diplomatic [PERIOD] mysterious [IMPLY] exuberant [PERIOD] distinct [IMPLY] mysterious [PERIOD] busy [AND] courageous [IMPLY] mysterious [PERIOD] ...
Proof chain: distinct ⇒ mysterious mysterious ⇒ exuberant distinct ⇒ mysterious Cannot apply rule “exuberant ∧ gorgeous ∧ mysterious ⇒ crowded” because missing: gorgeous.
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Facts: Batman is clumsy [PERIOD] Batman is troubled [PERIOD] Batman is innocent [PERIOD] Batman is frantic [PERIOD] Batman is fancy [PERIOD] Batman is gleaming [PERIOD] Rules: fancy [IMPLY] thoughtless [PERIOD] fragile [IMPLY] rude [PERIOD] rude [IMPLY] gorgeous [PERIOD] gleaming [AND] foolish [AND] frantic [IMPLY] fa...
Proof chain: troubled ⇒ wrong frantic ⇒ foolish foolish ⇒ modern wrong ∧ modern ⇒ perfect
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Facts: Batman is hypocritical [PERIOD] Batman is uptight [PERIOD] Rules: joyous [AND] light [IMPLY] enchanting [PERIOD] hilarious [AND] busy [IMPLY] smart [PERIOD] busy [AND] light [IMPLY] uptight [PERIOD] dull [AND] hilarious [AND] busy [IMPLY] hypocritical [PERIOD] joyous [IMPLY] smart [PERIOD] uptight [AND] hypocri...
Proof chain: uptight ⇒ smart Cannot apply rule “dull ∧ smart ⇒ light” because missing: dull. Cannot apply rule “uptight ∧ hilarious ⇒ light” because missing: hilarious. Cannot apply rule “busy ∧ hilarious ∧ dull ⇒ light” because missing: busy, hilarious, dull.
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Facts: Batman is horrible [PERIOD] Batman is nervous [PERIOD] Rules: ugly [AND] average [AND] zealous [IMPLY] nervous [PERIOD] zealous [AND] fragile [AND] quaint [IMPLY] average [PERIOD] impatient [AND] quaint [AND] thoughtless [IMPLY] horrible [PERIOD] diplomatic [IMPLY] polite [PERIOD] thoughtless [AND] homely [AND]...
Proof chain: horrible ⇒ thoughtless thoughtless ⇒ average nervous ⇒ ugly average ∧ ugly ⇒ frantic
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Facts: Batman is troubled [PERIOD] Batman is versatile [PERIOD] Batman is mean [PERIOD] Rules: different [AND] ugliest [AND] inexpensive [IMPLY] joyous [PERIOD] joyous [AND] impatient [IMPLY] troubled [PERIOD] uptight [AND] troubled [AND] mean [IMPLY] elegant [PERIOD] perfect [AND] inexpensive [AND] troubled [IMPLY] u...
Proof chain: troubled ⇒ elegant elegant ∧ troubled ⇒ joyous joyous ⇒ wandering wandering ⇒ perfect
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Facts: Batman is fancy [PERIOD] Rules: anxious [AND] proud [IMPLY] tidy [PERIOD] fancy [IMPLY] troubled [PERIOD] anxious [IMPLY] troubled [PERIOD] disgusted [IMPLY] agreeable [PERIOD] anxious [AND] agreeable [IMPLY] proud [PERIOD] troubled [AND] tidy [IMPLY] agreeable [PERIOD] agreeable [IMPLY] troubled [PERIOD] fancy...
Proof chain: fancy ⇒ troubled fancy ⇒ proud troubled ∧ fancy ∧ proud ⇒ tidy tidy ⇒ anxious
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4
Facts: Batman is jittery [PERIOD] Batman is uptight [PERIOD] Batman is helpless [PERIOD] Batman is rude [PERIOD] Batman is thoughtless [PERIOD] Batman is elated [PERIOD] Batman is courageous [PERIOD] Batman is adorable [PERIOD] Batman is vivacious [PERIOD] Batman is impartial [PERIOD] Rules: helpless [IMPLY] distinct ...
Proof chain: uptight ∧ vivacious ⇒ proud courageous ⇒ serious vivacious ∧ proud ∧ serious ⇒ friendly friendly ⇒ plain
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Facts: Batman is comfortable [PERIOD] Rules: gifted [AND] inquisitive [IMPLY] busy [PERIOD] rational [IMPLY] pleasant [PERIOD] alert [AND] stormy [IMPLY] tame [PERIOD] frightened [AND] tame [AND] stormy [IMPLY] busy [PERIOD] stormy [AND] gifted [AND] busy [IMPLY] clumsy [PERIOD] busy [IMPLY] stormy [PERIOD] difficult ...
Proof chain: Cannot apply rule “difficult ⇒ rational” because missing: difficult. Cannot apply rule “tame ⇒ rational” because missing: tame. Cannot apply rule “busy ∧ tame ∧ pleasant ⇒ rational” because missing: busy, tame, pleasant. Cannot apply rule “stubborn ⇒ rational” because missing: stubborn.
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4
Facts: Batman is alert [PERIOD] Batman is ugliest [PERIOD] Batman is sensible [PERIOD] Batman is tender [PERIOD] Rules: messy [AND] ugly [AND] distinct [IMPLY] polite [PERIOD] bored [AND] ugliest [IMPLY] beautiful [PERIOD] tender [IMPLY] alert [PERIOD] tender [AND] distinct [IMPLY] beautiful [PERIOD] light [AND] troub...
Proof chain: sensible ⇒ excited excited ⇒ bright bright ∧ sensible ⇒ loving loving ⇒ bored
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Facts: Batman is adorable [PERIOD] Rules: uptight [AND] long [IMPLY] popular [PERIOD] wide-eyed [AND] rational [IMPLY] fragile [PERIOD] fine [AND] attentive [AND] outstanding [IMPLY] long [PERIOD] wide-eyed [IMPLY] uptight [PERIOD] outstanding [AND] horrible [IMPLY] fragile [PERIOD] outstanding [IMPLY] fragile [PERIOD...
Proof chain: Cannot apply rule “wide-eyed ⇒ uptight” because missing: wide-eyed. Cannot apply rule “attentive ∧ popular ⇒ uptight” because missing: attentive, popular. Cannot apply rule “long ∧ frantic ⇒ uptight” because missing: long, frantic. Cannot apply rule “popular ∧ frantic ∧ stormy ⇒ uptight” becaus...
0
4
Facts: Batman is vivacious [PERIOD] Batman is spotless [PERIOD] Batman is broad-minded [PERIOD] Batman is lonely [PERIOD] Batman is fancy [PERIOD] Batman is sleepy [PERIOD] Batman is comfortable [PERIOD] Batman is inquisitive [PERIOD] Batman is tense [PERIOD] Batman is scared [PERIOD] Rules: spotless [AND] attractive ...
Proof chain: comfortable ⇒ confident confident ⇒ silly silly ⇒ ugly spotless ∧ ugly ⇒ exuberant
1
4
Facts: Batman is muddy [PERIOD] Batman is bossy [PERIOD] Batman is blushing [PERIOD] Batman is sincere [PERIOD] Batman is confident [PERIOD] Batman is fancy [PERIOD] Batman is sleepy [PERIOD] Batman is shy [PERIOD] Batman is ugly [PERIOD] Batman is worried [PERIOD] Batman is busy [PERIOD] Rules: gorgeous [AND] frantic...
Proof chain: sleepy ⇒ gorgeous worried ⇒ frantic blushing ⇒ serious gorgeous ∧ frantic ∧ serious ⇒ silly
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Facts: Rules: innocent [IMPLY] confident [PERIOD] impatient [AND] confident [AND] tense [IMPLY] innocent [PERIOD] mysterious [IMPLY] impatient [PERIOD] tense [AND] impatient [AND] confident [IMPLY] mysterious [PERIOD] mysterious [AND] innocent [IMPLY] tense [PERIOD] confident [AND] mysterious [AND] tense [IMPLY] suppo...
Proof chain: Cannot apply rule “tense ∧ impatient ∧ confident ⇒ mysterious” because missing: tense, impatient, confident. Cannot apply rule “innocent ∧ supportive ∧ tense ⇒ mysterious” because missing: innocent, supportive, tense. Cannot apply rule “supportive ∧ impatient ∧ confident ⇒ mysterious” because miss...
0
4
Facts: Batman is modern [PERIOD] Batman is alert [PERIOD] Batman is worried [PERIOD] Batman is adorable [PERIOD] Batman is comfortable [PERIOD] Batman is pessimistic [PERIOD] Batman is cute [PERIOD] Batman is ugliest [PERIOD] Batman is distinct [PERIOD] Batman is weary [PERIOD] Batman is long [PERIOD] Rules: worried [...
Proof chain: weary ∧ cute ⇒ grumpy modern ⇒ zealous grumpy ∧ distinct ∧ zealous ⇒ messy messy ⇒ tame
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4
Facts: Rules: beautiful [IMPLY] amused [PERIOD] zealous [AND] gorgeous [IMPLY] dull [PERIOD] glamorous [AND] bad-tempered [IMPLY] fragile [PERIOD] fragile [AND] agreeable [IMPLY] bad-tempered [PERIOD] beautiful [AND] zealous [IMPLY] sensible [PERIOD] amused [AND] dull [AND] gorgeous [IMPLY] glamorous [PERIOD] dull [AN...
Proof chain: Cannot apply rule “supportive ⇒ elegant” because missing: supportive. Cannot apply rule “outstanding ⇒ elegant” because missing: outstanding. Cannot apply rule “outstanding ∧ horrible ⇒ elegant” because missing: outstanding, horrible. Cannot apply rule “glamorous ∧ dull ∧ fragile ⇒ elegant” bec...
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4
Facts: Rules: sensible [AND] fearless [IMPLY] worried [PERIOD] dull [AND] good [IMPLY] fearless [PERIOD] confused [AND] careless [IMPLY] crowded [PERIOD] fearless [IMPLY] good [PERIOD] victorious [IMPLY] fearless [PERIOD] good [IMPLY] worried [PERIOD] polite [AND] confused [AND] serious [IMPLY] victorious [PERIOD] car...
Proof chain: Cannot apply rule “sensible ∧ fearless ⇒ worried” because missing: sensible, fearless. Cannot apply rule “good ⇒ worried” because missing: good. Cannot apply rule “sensible ∧ easy ∧ dull ⇒ worried” because missing: sensible, easy, dull. Cannot apply rule “sensible ∧ victorious ∧ careless ⇒ worr...
0
4
Facts: Batman is tender [PERIOD] Batman is pessimistic [PERIOD] Batman is lonely [PERIOD] Batman is hurt [PERIOD] Rules: pessimistic [AND] silly [AND] lonely [IMPLY] smart [PERIOD] wandering [AND] foolish [AND] silly [IMPLY] bored [PERIOD] light [AND] intellectual [IMPLY] nervous [PERIOD] tender [AND] intellectual [AN...
Proof chain: pessimistic ⇒ calm calm ∧ tender ⇒ clean pessimistic ∧ tender ⇒ witty clean ∧ witty ⇒ silly
1
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Facts: Batman is frightened [PERIOD] Batman is thoughtless [PERIOD] Batman is elegant [PERIOD] Batman is bad-tempered [PERIOD] Batman is helpless [PERIOD] Batman is aggressive [PERIOD] Batman is good [PERIOD] Batman is silly [PERIOD] Batman is distinct [PERIOD] Batman is ugliest [PERIOD] Batman is blushing [PERIOD] Ba...
Proof chain: distinct ⇒ enchanting frightened ⇒ zealous zealous ⇒ intellectual enchanting ∧ intellectual ∧ bored ⇒ nervous
1
4
Facts: Batman is adorable [PERIOD] Batman is tidy [PERIOD] Batman is rational [PERIOD] Batman is quaint [PERIOD] Batman is agreeable [PERIOD] Batman is condemned [PERIOD] Batman is weary [PERIOD] Batman is charming [PERIOD] Batman is ugliest [PERIOD] Batman is broad-minded [PERIOD] Batman is busy [PERIOD] Batman is be...
Proof chain: beautiful ∧ weary ⇒ courageous beautiful ∧ weary ⇒ courageous courageous ∧ hurt ∧ weary ⇒ modern courageous ∧ quaint ∧ modern ⇒ pleasant
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Facts: Batman is talkative [PERIOD] Batman is tender [PERIOD] Batman is distinct [PERIOD] Batman is worried [PERIOD] Batman is thoughtless [PERIOD] Batman is hypocritical [PERIOD] Rules: mean [AND] reserved [AND] nervous [IMPLY] worried [PERIOD] joyous [AND] modern [AND] messy [IMPLY] reserved [PERIOD] muddy [AND] tal...
Proof chain: hypocritical ∧ distinct ⇒ loving distinct ⇒ joyous loving ∧ joyous ⇒ pleasant hypocritical ∧ pleasant ⇒ broad-minded
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Facts: Rules: distinct [AND] grumpy [AND] shy [IMPLY] vivacious [PERIOD] cooperative [AND] powerful [IMPLY] vivacious [PERIOD] gorgeous [AND] vivacious [IMPLY] grumpy [PERIOD] gorgeous [AND] famous [AND] fancy [IMPLY] shy [PERIOD] rude [AND] grumpy [IMPLY] inquisitive [PERIOD] vivacious [AND] grumpy [IMPLY] cooperativ...
Proof chain: Cannot apply rule “distinct ∧ grumpy ∧ shy ⇒ vivacious” because missing: distinct, grumpy, shy. Cannot apply rule “cooperative ∧ powerful ⇒ vivacious” because missing: cooperative, powerful. Cannot apply rule “nervous ⇒ vivacious” because missing: nervous. Cannot apply rule “powerful ∧ famous ∧...
0
4
Facts: Batman is hypocritical [PERIOD] Batman is silly [PERIOD] Batman is dishonest [PERIOD] Rules: hypocritical [AND] dishonest [AND] careless [IMPLY] wrong [PERIOD] careless [AND] hypocritical [IMPLY] silly [PERIOD] silly [AND] elegant [AND] wrong [IMPLY] careless [PERIOD] silly [IMPLY] wrong [PERIOD] hypocritical [...
Proof chain: hypocritical ∧ silly ⇒ loving hypocritical ∧ silly ∧ loving ⇒ elegant silly ⇒ wrong silly ∧ elegant ∧ wrong ⇒ careless
1
4
Facts: Batman is gorgeous [PERIOD] Batman is condemned [PERIOD] Batman is famous [PERIOD] Rules: combative [AND] proud [IMPLY] fancy [PERIOD] condemned [AND] strange [IMPLY] difficult [PERIOD] gorgeous [IMPLY] famous [PERIOD] condemned [AND] light [AND] loving [IMPLY] strange [PERIOD] confident [AND] light [AND] famou...
Proof chain: Cannot apply rule “confident ∧ rude ∧ condemned ⇒ loving” because missing: confident, rude. Cannot apply rule “grumpy ∧ disgusted ⇒ loving” because missing: grumpy, disgusted. Cannot apply rule “gorgeous ∧ zealous ∧ confident ⇒ loving” because missing: zealous, confident. Cannot apply rule “pro...
0
4
Facts: Batman is tender [PERIOD] Rules: impatient [IMPLY] jittery [PERIOD] anxious [IMPLY] powerful [PERIOD] friendly [IMPLY] vivacious [PERIOD] courageous [IMPLY] helpful [PERIOD] courageous [AND] elated [AND] crowded [IMPLY] sleepy [PERIOD] friendly [AND] reserved [IMPLY] shy [PERIOD] jittery [AND] exuberant [AND] t...
Proof chain: tender ⇒ elated Cannot apply rule “courageous ∧ elated ∧ crowded ⇒ sleepy” because missing: courageous, crowded. Cannot apply rule “fancy ⇒ sleepy” because missing: fancy. Cannot apply rule “blushing ⇒ sleepy” because missing: blushing.
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Facts: Batman is alert [PERIOD] Rules: agreeable [AND] good [AND] proud [IMPLY] troubled [PERIOD] serious [IMPLY] good [PERIOD] tired [AND] troubled [IMPLY] tidy [PERIOD] gorgeous [IMPLY] good [PERIOD] serious [AND] proud [IMPLY] good [PERIOD] troubled [IMPLY] alert [PERIOD] troubled [AND] gorgeous [AND] good [IMPLY] ...
Proof chain: alert ⇒ shy shy ⇒ good alert ⇒ shy good ∧ alert ∧ shy ⇒ agreeable
1
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Facts: Batman is innocent [PERIOD] Batman is disgusted [PERIOD] Batman is amused [PERIOD] Batman is broad-minded [PERIOD] Batman is dishonest [PERIOD] Batman is clumsy [PERIOD] Batman is precious [PERIOD] Rules: broad-minded [AND] wandering [IMPLY] careless [PERIOD] zealous [AND] broad-minded [IMPLY] disgusted [PERIOD...
Proof chain: dishonest ⇒ scared Cannot apply rule “loving ∧ scared ⇒ mean” because missing: loving. dishonest ⇒ aggressive Cannot apply rule “innocent ∧ hilarious ∧ aggressive ⇒ mean” because missing: hilarious.
0
4
Facts: Rules: calm [IMPLY] fearless [PERIOD] disobedient [IMPLY] lonely [PERIOD] perfect [AND] impatient [AND] calm [IMPLY] fearless [PERIOD] anxious [AND] messy [AND] clean [IMPLY] scared [PERIOD] witty [IMPLY] inquisitive [PERIOD] clean [AND] shy [IMPLY] outstanding [PERIOD] diplomatic [AND] selfish [IMPLY] calm [PE...
Proof chain: Cannot apply rule “wandering ∧ popular ∧ diplomatic ⇒ stupid” because missing: wandering, popular, diplomatic. Cannot apply rule “diplomatic ⇒ stupid” because missing: diplomatic. Cannot apply rule “impatient ∧ scared ⇒ stupid” because missing: impatient, scared. Cannot apply rule “messy ⇒ stup...
0
4
Facts: Batman is horrible [PERIOD] Batman is spotless [PERIOD] Batman is glamorous [PERIOD] Batman is dull [PERIOD] Batman is ugliest [PERIOD] Rules: versatile [AND] bossy [AND] dull [IMPLY] glamorous [PERIOD] disgusted [AND] sincere [IMPLY] shiny [PERIOD] proud [AND] exuberant [IMPLY] beautiful [PERIOD] glamorous [IM...
Proof chain: spotless ⇒ clean dull ⇒ beautiful clean ∧ beautiful ⇒ shiny horrible ∧ shiny ⇒ excited
1
4
Facts: Batman is zealous [PERIOD] Batman is inexpensive [PERIOD] Batman is gifted [PERIOD] Rules: uptight [AND] inexpensive [IMPLY] tidy [PERIOD] strange [IMPLY] muddy [PERIOD] easy [IMPLY] pessimistic [PERIOD] easy [AND] tidy [IMPLY] alert [PERIOD] sensible [AND] gifted [IMPLY] sleepy [PERIOD] zealous [AND] muddy [IM...
Proof chain: zealous ⇒ embarrassed embarrassed ⇒ adorable adorable ⇒ witty witty ⇒ pessimistic
1
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Facts: Batman is confused [PERIOD] Batman is modern [PERIOD] Batman is spotless [PERIOD] Batman is lonely [PERIOD] Batman is outrageous [PERIOD] Rules: messy [AND] hypocritical [AND] horrible [IMPLY] cute [PERIOD] vivacious [AND] lonely [AND] different [IMPLY] straightforward [PERIOD] calm [IMPLY] spotless [PERIOD] st...
Proof chain: lonely ∧ confused ⇒ hilarious spotless ⇒ jittery modern ∧ jittery ⇒ helpful hilarious ∧ outrageous ∧ helpful ⇒ shy
1
4
Facts: Batman is crowded [PERIOD] Batman is hurt [PERIOD] Batman is clumsy [PERIOD] Batman is comfortable [PERIOD] Rules: foolish [IMPLY] beautiful [PERIOD] helpful [AND] old-fashioned [IMPLY] tired [PERIOD] outrageous [AND] beautiful [AND] crowded [IMPLY] comfortable [PERIOD] tired [AND] hurt [AND] homely [IMPLY] com...
Proof chain: clumsy ⇒ reserved reserved ∧ comfortable ⇒ beautiful beautiful ⇒ foolish foolish ∧ hurt ⇒ busy
1
4
Facts: Rules: strange [AND] talkative [IMPLY] outrageous [PERIOD] intellectual [AND] perfect [AND] stubborn [IMPLY] cooperative [PERIOD] easy [AND] clumsy [AND] careless [IMPLY] confident [PERIOD] talented [IMPLY] stubborn [PERIOD] frail [AND] outrageous [IMPLY] agreeable [PERIOD] agreeable [AND] thoughtful [AND] calm...
Proof chain: Cannot apply rule “cooperative ⇒ perfect” because missing: cooperative. Cannot apply rule “sensible ⇒ perfect” because missing: sensible. Cannot apply rule “clumsy ∧ talented ∧ stubborn ⇒ perfect” because missing: clumsy, talented, stubborn. Cannot apply rule “talkative ∧ thoughtful ⇒ perfect” ...
0
4
Facts: Batman is grumpy [PERIOD] Batman is cooperative [PERIOD] Batman is fancy [PERIOD] Rules: fancy [AND] tired [IMPLY] grumpy [PERIOD] uptight [AND] grumpy [AND] fine [IMPLY] fancy [PERIOD] anxious [AND] grumpy [AND] uptight [IMPLY] fine [PERIOD] tired [AND] fancy [AND] anxious [IMPLY] uptight [PERIOD] fine [AND] f...
Proof chain: grumpy ∧ fancy ⇒ uptight cooperative ∧ uptight ∧ grumpy ⇒ anxious grumpy ∧ fancy ⇒ uptight anxious ∧ grumpy ∧ uptight ⇒ fine
1
4
Facts: Batman is tense [PERIOD] Rules: straightforward [AND] hypocritical [IMPLY] mean [PERIOD] disgusted [AND] tense [IMPLY] mean [PERIOD] curious [AND] hypocritical [IMPLY] alert [PERIOD] scared [IMPLY] confused [PERIOD] alert [IMPLY] curious [PERIOD] shiny [AND] scared [AND] worrisome [IMPLY] uptight [PERIOD] witty...
Proof chain: Cannot apply rule “witty ∧ mean ⇒ straightforward” because missing: witty, mean. Cannot apply rule “shiny ∧ mean ∧ alert ⇒ straightforward” because missing: shiny, mean, alert. Cannot apply rule “mean ∧ worrisome ⇒ straightforward” because missing: mean, worrisome. Cannot apply rule “scared ∧ u...
0
4
Facts: Batman is vivacious [PERIOD] Batman is elated [PERIOD] Rules: wrong [IMPLY] elated [PERIOD] lucky [AND] dull [IMPLY] light [PERIOD] dull [AND] ugliest [IMPLY] pleasant [PERIOD] light [AND] wrong [AND] vivacious [IMPLY] dull [PERIOD] lucky [IMPLY] ugliest [PERIOD] ugliest [AND] pleasant [IMPLY] light [PERIOD] el...
Proof chain: Cannot apply rule “elated ∧ light ⇒ wrong” because missing: light. Cannot apply rule “light ⇒ wrong” because missing: light. Cannot apply rule “dull ∧ lucky ∧ weary ⇒ wrong” because missing: dull, lucky, weary. Cannot apply rule “ugliest ⇒ wrong” because missing: ugliest.
0
4
Facts: Batman is aggressive [PERIOD] Batman is fancy [PERIOD] Batman is strange [PERIOD] Batman is silly [PERIOD] Batman is polite [PERIOD] Batman is nervous [PERIOD] Rules: stupid [AND] nervous [IMPLY] strange [PERIOD] hurt [IMPLY] straightforward [PERIOD] inquisitive [AND] lucky [IMPLY] easy [PERIOD] combative [AND]...
Proof chain: polite ⇒ bad-tempered bad-tempered ⇒ messy silly ∧ fancy ⇒ powerful messy ∧ powerful ⇒ long
1
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Facts: Batman is muddy [PERIOD] Rules: tender [AND] troubled [AND] muddy [IMPLY] adorable [PERIOD] charming [IMPLY] pleasant [PERIOD] troubled [AND] pleasant [IMPLY] muddy [PERIOD] pleasant [AND] muddy [AND] adorable [IMPLY] tender [PERIOD] muddy [IMPLY] pleasant [PERIOD] muddy [AND] troubled [AND] charming [IMPLY] te...
Proof chain: Cannot apply rule “tender ⇒ charming” because missing: tender. muddy ⇒ pleasant Cannot apply rule “adorable ∧ pleasant ∧ muddy ⇒ charming” because missing: adorable. Cannot apply rule “troubled ⇒ charming” because missing: troubled.
0
4
Facts: Batman is exuberant [PERIOD] Batman is selfish [PERIOD] Batman is disobedient [PERIOD] Batman is sensible [PERIOD] Rules: selfish [AND] cruel [AND] bossy [IMPLY] old-fashioned [PERIOD] rude [IMPLY] tender [PERIOD] wrong [AND] exuberant [IMPLY] cruel [PERIOD] talented [AND] thoughtful [AND] homely [IMPLY] bossy ...
Proof chain: selfish ⇒ fearless selfish ⇒ tidy selfish ∧ fearless ∧ tidy ⇒ dull dull ∧ exuberant ⇒ bossy
1
4
Facts: Batman is fearless [PERIOD] Batman is frantic [PERIOD] Batman is shy [PERIOD] Batman is impartial [PERIOD] Batman is straightforward [PERIOD] Batman is tender [PERIOD] Batman is average [PERIOD] Batman is outrageous [PERIOD] Batman is naughty [PERIOD] Batman is attentive [PERIOD] Batman is busy [PERIOD] Batman ...
Proof chain: outrageous ∧ fearless ∧ joyous ⇒ anxious anxious ∧ average ⇒ bad-tempered impartial ⇒ uptight bad-tempered ∧ uptight ⇒ fragile
1
4
Facts: Batman is light [PERIOD] Batman is exuberant [PERIOD] Batman is bored [PERIOD] Batman is loving [PERIOD] Batman is witty [PERIOD] Batman is easy [PERIOD] Batman is popular [PERIOD] Batman is grumpy [PERIOD] Batman is condemned [PERIOD] Batman is messy [PERIOD] Batman is plain [PERIOD] Batman is wide-eyed [PERIO...
Proof chain: light ∧ bored ⇒ precious messy ⇒ frightened spotless ⇒ friendly precious ∧ frightened ∧ friendly ⇒ modern
1
4
Facts: Rules: smart [AND] zealous [IMPLY] modern [PERIOD] grumpy [IMPLY] wandering [PERIOD] modern [IMPLY] smart [PERIOD] sensible [AND] hurt [IMPLY] vivacious [PERIOD] sensible [IMPLY] vivacious [PERIOD] hurt [AND] zealous [IMPLY] innocent [PERIOD] wandering [AND] worrisome [AND] smart [IMPLY] modern [PERIOD] hurt [I...
Proof chain: Cannot apply rule “wandering ∧ vivacious ∧ hurt ⇒ zealous” because missing: wandering, vivacious, hurt. Cannot apply rule “sensible ∧ grumpy ∧ proud ⇒ zealous” because missing: sensible, grumpy, proud. Cannot apply rule “wandering ∧ sensible ∧ innocent ⇒ zealous” because missing: wandering, sensib...
0
4
Facts: Batman is impartial [PERIOD] Batman is cruel [PERIOD] Batman is crowded [PERIOD] Batman is glamorous [PERIOD] Rules: impartial [IMPLY] smart [PERIOD] talkative [AND] impartial [AND] smart [IMPLY] ugly [PERIOD] wrong [AND] stupid [IMPLY] smart [PERIOD] glamorous [AND] modern [AND] wrong [IMPLY] stupid [PERIOD] i...
Proof chain: impartial ⇒ talkative impartial ⇒ smart talkative ∧ impartial ∧ smart ⇒ ugly ugly ⇒ stupid
1
4
Facts: Rules: confident [AND] fancy [IMPLY] powerful [PERIOD] diplomatic [IMPLY] calm [PERIOD] plain [AND] anxious [IMPLY] powerful [PERIOD] powerful [IMPLY] lonely [PERIOD] anxious [AND] gifted [AND] enchanting [IMPLY] silly [PERIOD] calm [IMPLY] enchanting [PERIOD] silly [AND] diplomatic [AND] calm [IMPLY] impatient...
Proof chain: Cannot apply rule “calm ⇒ enchanting” because missing: calm. Cannot apply rule “gifted ∧ stormy ⇒ enchanting” because missing: gifted, stormy. Cannot apply rule “ambitious ⇒ enchanting” because missing: ambitious. Cannot apply rule “fancy ⇒ enchanting” because missing: fancy.
0
4
Facts: Batman is frightened [PERIOD] Batman is cute [PERIOD] Batman is innocent [PERIOD] Batman is clean [PERIOD] Batman is courageous [PERIOD] Batman is proud [PERIOD] Rules: average [AND] proud [IMPLY] crowded [PERIOD] average [AND] diplomatic [IMPLY] crowded [PERIOD] impatient [AND] scared [AND] fancy [IMPLY] cute ...
Proof chain: clean ⇒ diplomatic diplomatic ∧ innocent ∧ clean ⇒ impatient courageous ∧ innocent ∧ clean ⇒ scared impatient ∧ scared ∧ innocent ⇒ crowded
1
4
Facts: Batman is elegant [PERIOD] Rules: frail [AND] dull [AND] glamorous [IMPLY] elegant [PERIOD] elated [AND] serious [IMPLY] adorable [PERIOD] frail [AND] elated [AND] thoughtful [IMPLY] beautiful [PERIOD] elegant [IMPLY] curious [PERIOD] crowded [AND] beautiful [IMPLY] elated [PERIOD] thoughtful [AND] cooperative ...
Proof chain: Cannot apply rule “crowded ⇒ frail” because missing: crowded. Cannot apply rule “adorable ∧ thoughtful ⇒ frail” because missing: adorable, thoughtful. Cannot apply rule “worrisome ∧ tame ∧ elegant ⇒ frail” because missing: worrisome, tame. Cannot apply rule “strange ∧ cooperative ∧ bright ⇒ fra...
0
4
Facts: Batman is proud [PERIOD] Batman is fine [PERIOD] Batman is frail [PERIOD] Batman is precious [PERIOD] Batman is light [PERIOD] Batman is talkative [PERIOD] Rules: proud [IMPLY] weary [PERIOD] blushing [IMPLY] shiny [PERIOD] attractive [IMPLY] proud [PERIOD] charming [AND] shiny [IMPLY] spotless [PERIOD] fearles...
Proof chain: precious ∧ frail ⇒ blushing blushing ∧ precious ⇒ enchanting enchanting ⇒ uptight light ∧ uptight ⇒ worrisome
1
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Facts: Rules: stubborn [AND] innocent [IMPLY] lonely [PERIOD] stubborn [IMPLY] lonely [PERIOD] amused [IMPLY] lonely [PERIOD] grumpy [IMPLY] lonely [PERIOD] amused [AND] grumpy [IMPLY] loving [PERIOD] amused [IMPLY] innocent [PERIOD] innocent [IMPLY] grumpy [PERIOD] grumpy [AND] lonely [IMPLY] stubborn [PERIOD] Query:...
Proof chain: Cannot apply rule “stubborn ∧ innocent ⇒ lonely” because missing: stubborn, innocent. Cannot apply rule “stubborn ⇒ lonely” because missing: stubborn. Cannot apply rule “amused ⇒ lonely” because missing: amused. Cannot apply rule “grumpy ⇒ lonely” because missing: grumpy.
0
4
Facts: Batman is adorable [PERIOD] Batman is lonely [PERIOD] Batman is unpleasant [PERIOD] Rules: average [IMPLY] outrageous [PERIOD] outrageous [AND] precious [IMPLY] blushing [PERIOD] impatient [IMPLY] agreeable [PERIOD] unpleasant [AND] crowded [IMPLY] horrible [PERIOD] crowded [AND] spotless [AND] average [IMPLY] ...
Proof chain: adorable ⇒ famous famous ∧ lonely ⇒ precious Cannot apply rule “outrageous ∧ precious ⇒ blushing” because missing: outrageous. Cannot apply rule “crowded ∧ tense ⇒ blushing” because missing: crowded, tense.
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Facts: Rules: light [AND] shiny [AND] gorgeous [IMPLY] helpful [PERIOD] helpful [IMPLY] gorgeous [PERIOD] calm [IMPLY] frail [PERIOD] long [AND] unpleasant [AND] light [IMPLY] calm [PERIOD] scared [AND] gorgeous [IMPLY] frail [PERIOD] shiny [IMPLY] scared [PERIOD] light [AND] beautiful [AND] long [IMPLY] shiny [PERIOD...
Proof chain: Cannot apply rule “beautiful ∧ ambitious ∧ helpful ⇒ unpleasant” because missing: beautiful, ambitious, helpful. Cannot apply rule “ambitious ⇒ unpleasant” because missing: ambitious. Cannot apply rule “gorgeous ∧ frail ∧ calm ⇒ unpleasant” because missing: gorgeous, frail, calm. Cannot apply r...
0
4
Facts: Batman is worrisome [PERIOD] Rules: worrisome [AND] uptight [AND] wide-eyed [IMPLY] polite [PERIOD] bad-tempered [IMPLY] polite [PERIOD] worrisome [AND] wide-eyed [AND] polite [IMPLY] uptight [PERIOD] uptight [AND] worrisome [IMPLY] polite [PERIOD] worrisome [AND] sleepy [IMPLY] polite [PERIOD] sleepy [AND] wid...
Proof chain: Cannot apply rule “worrisome ∧ uptight ∧ wide-eyed ⇒ polite” because missing: uptight, wide-eyed. Cannot apply rule “bad-tempered ⇒ polite” because missing: bad-tempered. Cannot apply rule “uptight ∧ worrisome ⇒ polite” because missing: uptight. Cannot apply rule “worrisome ∧ sleepy ⇒ polite” b...
0
4
Facts: Batman is lucky [PERIOD] Rules: victorious [AND] troubled [AND] grumpy [IMPLY] smart [PERIOD] adorable [AND] precious [AND] comfortable [IMPLY] popular [PERIOD] comfortable [IMPLY] popular [PERIOD] precious [AND] adorable [IMPLY] smart [PERIOD] precious [AND] attentive [IMPLY] pessimistic [PERIOD] lucky [AND] i...
Proof chain: Cannot apply rule “precious ∧ attentive ⇒ pessimistic” because missing: precious, attentive. Cannot apply rule “plain ∧ alert ∧ grumpy ⇒ pessimistic” because missing: plain, alert, grumpy. Cannot apply rule “plain ∧ smart ⇒ pessimistic” because missing: plain, smart. Cannot apply rule “attentiv...
0
4
Facts: Batman is easy [PERIOD] Batman is bad-tempered [PERIOD] Batman is disobedient [PERIOD] Batman is vivacious [PERIOD] Batman is thoughtful [PERIOD] Batman is supportive [PERIOD] Batman is embarrassed [PERIOD] Rules: confident [IMPLY] ugliest [PERIOD] hypocritical [IMPLY] courageous [PERIOD] condemned [IMPLY] outr...
Proof chain: easy ⇒ ugliest embarrassed ⇒ outrageous ugliest ∧ outrageous ⇒ courageous courageous ∧ embarrassed ∧ thoughtful ⇒ wandering
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Facts: Batman is inquisitive [PERIOD] Batman is outrageous [PERIOD] Rules: inquisitive [IMPLY] fancy [PERIOD] bad-tempered [IMPLY] fancy [PERIOD] outrageous [AND] fancy [IMPLY] bad-tempered [PERIOD] shiny [AND] stupid [AND] diplomatic [IMPLY] outrageous [PERIOD] proud [AND] talented [AND] outrageous [IMPLY] inquisitiv...
Proof chain: inquisitive ∧ outrageous ⇒ diplomatic diplomatic ∧ inquisitive ⇒ stupid stupid ∧ outrageous ⇒ shiny inquisitive ∧ shiny ⇒ proud
1
4
Facts: Batman is wrong [PERIOD] Batman is helpful [PERIOD] Batman is tender [PERIOD] Batman is intellectual [PERIOD] Rules: horrible [AND] wrong [AND] spotless [IMPLY] tender [PERIOD] intellectual [AND] sensible [IMPLY] different [PERIOD] sensible [IMPLY] horrible [PERIOD] lonely [AND] helpful [AND] different [IMPLY] ...
Proof chain: intellectual ⇒ lonely wrong ⇒ sensible intellectual ∧ sensible ⇒ different lonely ∧ helpful ∧ different ⇒ embarrassed
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Facts: Batman is mean [PERIOD] Batman is popular [PERIOD] Batman is disobedient [PERIOD] Batman is elated [PERIOD] Batman is spotless [PERIOD] Rules: worrisome [AND] wandering [IMPLY] dishonest [PERIOD] inquisitive [AND] elated [AND] horrible [IMPLY] worrisome [PERIOD] embarrassed [AND] stormy [AND] wandering [IMPLY] ...
Proof chain: disobedient ⇒ hypocritical spotless ∧ hypocritical ⇒ dishonest elated ∧ mean ⇒ lucky spotless ∧ dishonest ∧ lucky ⇒ ambitious
1
4
Facts: Batman is naughty [PERIOD] Batman is elegant [PERIOD] Batman is grumpy [PERIOD] Batman is embarrassed [PERIOD] Batman is jittery [PERIOD] Batman is elated [PERIOD] Batman is gleaming [PERIOD] Batman is fine [PERIOD] Batman is silly [PERIOD] Batman is scared [PERIOD] Rules: lucky [IMPLY] hurt [PERIOD] naughty [I...
Proof chain: gleaming ⇒ exuberant fine ∧ exuberant ⇒ amused gleaming ⇒ exuberant amused ∧ exuberant ⇒ cooperative
1
4
Facts: Batman is ugliest [PERIOD] Batman is intellectual [PERIOD] Batman is famous [PERIOD] Batman is ambitious [PERIOD] Batman is thoughtful [PERIOD] Batman is modern [PERIOD] Batman is frightened [PERIOD] Batman is exuberant [PERIOD] Batman is frantic [PERIOD] Batman is cooperative [PERIOD] Batman is popular [PERIOD...
Proof chain: thoughtful ∧ famous ⇒ anxious intellectual ∧ anxious ⇒ polite exuberant ⇒ good polite ∧ good ⇒ curious
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Facts: Batman is frantic [PERIOD] Rules: bad-tempered [AND] worried [IMPLY] homely [PERIOD] dull [IMPLY] impartial [PERIOD] selfish [IMPLY] hurt [PERIOD] rude [IMPLY] hurt [PERIOD] proud [AND] stubborn [IMPLY] attentive [PERIOD] average [AND] aggressive [AND] broad-minded [IMPLY] innocent [PERIOD] attentive [IMPLY] ba...
Proof chain: Cannot apply rule “homely ∧ bad-tempered ∧ stubborn ⇒ dull” because missing: homely, bad-tempered, stubborn. Cannot apply rule “worried ∧ selfish ⇒ dull” because missing: worried, selfish. Cannot apply rule “hurt ∧ scared ⇒ dull” because missing: hurt, scared. Cannot apply rule “uptight ∧ broad...
0
4
Facts: Batman is fearless [PERIOD] Batman is stupid [PERIOD] Batman is famous [PERIOD] Batman is gleaming [PERIOD] Batman is charming [PERIOD] Batman is frightened [PERIOD] Batman is worrisome [PERIOD] Batman is sensible [PERIOD] Batman is broad-minded [PERIOD] Batman is tense [PERIOD] Batman is long [PERIOD] Batman i...
Proof chain: long ∧ fearless ⇒ impartial impartial ∧ sensible ⇒ powerful sensible ∧ famous ∧ worrisome ⇒ modern powerful ∧ modern ⇒ disobedient
1
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Facts: Batman is combative [PERIOD] Batman is shy [PERIOD] Batman is weary [PERIOD] Rules: victorious [AND] selfish [AND] scared [IMPLY] fragile [PERIOD] uptight [AND] embarrassed [AND] gorgeous [IMPLY] selfish [PERIOD] exuberant [IMPLY] gorgeous [PERIOD] selfish [AND] outstanding [IMPLY] exuberant [PERIOD] glamorous ...
Proof chain: combative ⇒ scared shy ⇒ stupid scared ∧ stupid ⇒ gorgeous gorgeous ⇒ glamorous
1
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Facts: Batman is intellectual [PERIOD] Batman is beautiful [PERIOD] Batman is inquisitive [PERIOD] Batman is clean [PERIOD] Rules: courageous [IMPLY] bad-tempered [PERIOD] clean [IMPLY] bad-tempered [PERIOD] easy [AND] inquisitive [IMPLY] tense [PERIOD] muddy [AND] easy [IMPLY] tense [PERIOD] clean [AND] scared [IMPLY...
Proof chain: beautiful ⇒ courageous clean ⇒ adorable adorable ⇒ tidy courageous ∧ tidy ⇒ muddy
1
4
Facts: Rules: horrible [IMPLY] tender [PERIOD] fancy [IMPLY] shy [PERIOD] worrisome [AND] tender [AND] horrible [IMPLY] shy [PERIOD] fancy [AND] shy [IMPLY] worrisome [PERIOD] shy [IMPLY] tender [PERIOD] horrible [AND] shy [AND] tender [IMPLY] fancy [PERIOD] horrible [AND] worrisome [IMPLY] shy [PERIOD] fancy [IMPLY] ...
Proof chain: Cannot apply rule “fancy ⇒ shy” because missing: fancy. Cannot apply rule “worrisome ∧ tender ∧ horrible ⇒ shy” because missing: worrisome, tender, horrible. Cannot apply rule “horrible ∧ worrisome ⇒ shy” because missing: horrible, worrisome. Cannot apply rule “worrisome ∧ fancy ∧ horrible ⇒ sh...
0
4
Facts: Batman is ugly [PERIOD] Batman is comfortable [PERIOD] Batman is joyous [PERIOD] Batman is different [PERIOD] Batman is plain [PERIOD] Batman is bad-tempered [PERIOD] Batman is fine [PERIOD] Batman is attractive [PERIOD] Batman is cute [PERIOD] Batman is loving [PERIOD] Batman is tender [PERIOD] Batman is nervo...
Proof chain: comfortable ⇒ tired ugly ∧ bad-tempered ⇒ mean tired ∧ mean ∧ joyous ⇒ unpleasant nervous ∧ scared ∧ unpleasant ⇒ fearless
1
4
Facts: Batman is amused [PERIOD] Batman is stubborn [PERIOD] Batman is talented [PERIOD] Batman is fearless [PERIOD] Rules: stubborn [AND] attractive [AND] frantic [IMPLY] ugliest [PERIOD] sincere [AND] stubborn [AND] distinct [IMPLY] amused [PERIOD] attractive [AND] frantic [AND] stubborn [IMPLY] talented [PERIOD] at...
Proof chain: Cannot apply rule “fragile ∧ stubborn ⇒ distinct” because missing: fragile. Cannot apply rule “sincere ∧ talented ∧ fearless ⇒ distinct” because missing: sincere. Cannot apply rule “sincere ∧ fearless ∧ frantic ⇒ distinct” because missing: sincere, frantic. Cannot apply rule “fearless ∧ ugliest...
0
4
Facts: Batman is plain [PERIOD] Rules: attractive [IMPLY] jittery [PERIOD] bossy [IMPLY] attractive [PERIOD] helpful [IMPLY] beautiful [PERIOD] famous [AND] weary [IMPLY] elegant [PERIOD] weary [AND] attractive [AND] helpful [IMPLY] plain [PERIOD] precious [AND] jittery [AND] friendly [IMPLY] clumsy [PERIOD] famous [I...
Proof chain: Cannot apply rule “friendly ∧ shy ∧ bossy ⇒ famous” because missing: friendly, shy, bossy. Cannot apply rule “troubled ∧ beautiful ⇒ famous” because missing: troubled, beautiful. Cannot apply rule “elegant ⇒ famous” because missing: elegant. Cannot apply rule “attractive ∧ helpful ∧ shy ⇒ famou...
0
4
Facts: Batman is rude [PERIOD] Batman is clumsy [PERIOD] Rules: charming [IMPLY] unpleasant [PERIOD] elegant [AND] messy [IMPLY] attentive [PERIOD] unpleasant [AND] careless [AND] wandering [IMPLY] crowded [PERIOD] stormy [AND] inexpensive [AND] attractive [IMPLY] bright [PERIOD] messy [AND] thoughtful [IMPLY] worried...
Proof chain: clumsy ⇒ straightforward rude ⇒ unpleasant unpleasant ⇒ wandering straightforward ∧ wandering ⇒ charming
1
4
Facts: Batman is naughty [PERIOD] Rules: perfect [AND] anxious [AND] fearless [IMPLY] stupid [PERIOD] reserved [IMPLY] embarrassed [PERIOD] lonely [IMPLY] perfect [PERIOD] spotless [AND] embarrassed [IMPLY] thoughtless [PERIOD] anxious [AND] thoughtless [IMPLY] lonely [PERIOD] fine [AND] embarrassed [IMPLY] stupid [PE...
Proof chain: naughty ⇒ serious serious ⇒ perfect perfect ⇒ embarrassed embarrassed ⇒ bossy
1
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Facts: Batman is supportive [PERIOD] Batman is horrible [PERIOD] Batman is inexpensive [PERIOD] Batman is nervous [PERIOD] Rules: careless [IMPLY] enchanting [PERIOD] dishonest [AND] supportive [AND] gifted [IMPLY] rude [PERIOD] gifted [AND] rude [IMPLY] supportive [PERIOD] careless [AND] inexpensive [AND] nervous [IM...
Proof chain: supportive ⇒ gifted gifted ⇒ enchanting supportive ⇒ gifted enchanting ∧ horrible ∧ gifted ⇒ careless
1
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Facts: Batman is powerful [PERIOD] Rules: powerful [AND] polite [IMPLY] friendly [PERIOD] enchanting [AND] polite [IMPLY] difficult [PERIOD] enchanting [AND] friendly [IMPLY] rational [PERIOD] powerful [IMPLY] polite [PERIOD] powerful [AND] sensible [AND] rational [IMPLY] average [PERIOD] enchanting [AND] sensible [IM...
Proof chain: powerful ⇒ polite powerful ⇒ polite powerful ∧ polite ⇒ friendly polite ∧ friendly ⇒ enchanting
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Facts: Batman is frantic [PERIOD] Batman is cruel [PERIOD] Batman is gorgeous [PERIOD] Batman is dull [PERIOD] Rules: shy [AND] talkative [AND] frantic [IMPLY] long [PERIOD] talkative [AND] frantic [AND] long [IMPLY] dull [PERIOD] beautiful [AND] talkative [AND] frantic [IMPLY] cruel [PERIOD] gorgeous [AND] selfish [A...
Proof chain: dull ⇒ worrisome worrisome ⇒ popular dull ⇒ long popular ∧ cruel ∧ long ⇒ selfish
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Facts: Batman is muddy [PERIOD] Rules: exuberant [IMPLY] impatient [PERIOD] reserved [IMPLY] lonely [PERIOD] exuberant [IMPLY] versatile [PERIOD] crowded [AND] elated [AND] gorgeous [IMPLY] helpful [PERIOD] broad-minded [AND] fancy [IMPLY] beautiful [PERIOD] crowded [IMPLY] exuberant [PERIOD] confused [IMPLY] curious ...
Proof chain: Cannot apply rule “gorgeous ∧ hilarious ⇒ bossy” because missing: gorgeous, hilarious. Cannot apply rule “excited ∧ foolish ⇒ bossy” because missing: excited, foolish. Cannot apply rule “broad-minded ⇒ bossy” because missing: broad-minded. Cannot apply rule “excited ∧ plain ⇒ bossy” because mis...
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Facts: Batman is confident [PERIOD] Batman is shy [PERIOD] Rules: tidy [AND] mean [IMPLY] smart [PERIOD] shy [AND] mean [IMPLY] confident [PERIOD] smart [AND] mean [IMPLY] broad-minded [PERIOD] broad-minded [AND] victorious [IMPLY] tidy [PERIOD] confident [AND] tidy [IMPLY] mean [PERIOD] smart [AND] broad-minded [AND]...
Proof chain: shy ⇒ tidy shy ⇒ tidy confident ∧ tidy ⇒ mean tidy ∧ mean ⇒ smart
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Facts: Batman is disobedient [PERIOD] Batman is fearless [PERIOD] Batman is tired [PERIOD] Batman is popular [PERIOD] Batman is pleasant [PERIOD] Batman is cruel [PERIOD] Batman is powerful [PERIOD] Rules: fine [AND] powerful [IMPLY] disobedient [PERIOD] fine [AND] disobedient [IMPLY] powerful [PERIOD] pleasant [AND] ...
Proof chain: pleasant ⇒ elegant elegant ⇒ reserved tired ∧ cruel ∧ reserved ⇒ fine fine ∧ popular ⇒ calm
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Facts: Batman is plain [PERIOD] Batman is exuberant [PERIOD] Batman is bright [PERIOD] Batman is disobedient [PERIOD] Batman is attentive [PERIOD] Batman is impatient [PERIOD] Batman is bad-tempered [PERIOD] Batman is reserved [PERIOD] Batman is ambitious [PERIOD] Rules: clumsy [AND] old-fashioned [IMPLY] bright [PERI...
Proof chain: exuberant ⇒ embarrassed plain ⇒ different plain ∧ different ⇒ versatile embarrassed ∧ versatile ∧ ambitious ⇒ sleepy
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