Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is spotless [PERIOD] Rules: alert [IMPLY] hypocritical [PERIOD] sleepy [AND] aggressive [AND] dull [IMPLY] good [PERIOD] dull [AND] stupid [AND] reserved [IMPLY] good [PERIOD] stupid [AND] dull [AND] agreeable [IMPLY] aggressive [PERIOD] busy [AND] rude [AND] hypocritical [IMPLY] wide-eyed [PERIOD] alert...
Proof chain: Cannot apply rule “sleepy ∧ aggressive ∧ dull ⇒ good” because missing: sleepy, aggressive, dull. spotless ⇒ reserved Cannot apply rule “dull ∧ stupid ∧ reserved ⇒ good” because missing: dull, stupid. Cannot apply rule “wide-eyed ⇒ good” because missing: wide-eyed. Cannot apply rule “busy ∧ s...
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10
Facts: Batman is helpless [PERIOD] Batman is frail [PERIOD] Batman is diplomatic [PERIOD] Rules: stormy [IMPLY] tidy [PERIOD] straightforward [IMPLY] frail [PERIOD] old-fashioned [IMPLY] straightforward [PERIOD] bored [AND] famous [AND] diplomatic [IMPLY] tidy [PERIOD] old-fashioned [AND] straightforward [AND] busy [I...
Proof chain: Cannot apply rule “stormy ⇒ tidy” because missing: stormy. diplomatic ⇒ adorable frail ∧ adorable ⇒ famous Cannot apply rule “bored ∧ famous ∧ diplomatic ⇒ tidy” because missing: bored. Cannot apply rule “exuberant ⇒ tidy” because missing: exuberant. frail ⇒ old-fashioned old-fashioned...
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10
Facts: Batman is embarrassed [PERIOD] Batman is elated [PERIOD] Batman is powerful [PERIOD] Batman is different [PERIOD] Batman is nervous [PERIOD] Batman is disgusted [PERIOD] Batman is lonely [PERIOD] Batman is cooperative [PERIOD] Batman is dishonest [PERIOD] Batman is shy [PERIOD] Rules: hurt [AND] attractive [AND...
Proof chain: shy ∧ cooperative ⇒ long shy ∧ cooperative ⇒ long long ⇒ muddy elated ∧ long ∧ muddy ⇒ proud proud ∧ different ∧ disgusted ⇒ fragile shy ∧ cooperative ⇒ long shy ∧ cooperative ⇒ long long ⇒ muddy fragile ∧ long ∧ muddy ⇒ messy Cannot apply rule “alert ∧ messy ⇒ clumsy” because...
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10
Facts: Batman is silly [PERIOD] Batman is old-fashioned [PERIOD] Rules: bad-tempered [AND] adorable [AND] confused [IMPLY] ugly [PERIOD] thoughtful [AND] comfortable [AND] bright [IMPLY] silly [PERIOD] disgusted [AND] mean [IMPLY] homely [PERIOD] adorable [AND] silly [IMPLY] thoughtful [PERIOD] worrisome [AND] mean [I...
Proof chain: old-fashioned ⇒ comfortable old-fashioned ⇒ comfortable old-fashioned ⇒ comfortable comfortable ⇒ homely homely ⇒ serious serious ⇒ worrisome worrisome ∧ old-fashioned ⇒ ugly comfortable ∧ ugly ⇒ versatile old-fashioned ∧ silly ⇒ shiny comfortable ∧ versatile ∧ shiny ⇒ confuse...
1
10
Facts: Batman is old-fashioned [PERIOD] Batman is embarrassed [PERIOD] Rules: worrisome [AND] lonely [IMPLY] broad-minded [PERIOD] loving [AND] sensible [AND] agreeable [IMPLY] lonely [PERIOD] old-fashioned [IMPLY] thoughtful [PERIOD] lonely [AND] diplomatic [IMPLY] straightforward [PERIOD] outrageous [AND] broad-mind...
Proof chain: embarrassed ⇒ outrageous old-fashioned ⇒ excited outrageous ∧ excited ∧ old-fashioned ⇒ calm embarrassed ⇒ outrageous outrageous ∧ old-fashioned ⇒ broad-minded embarrassed ⇒ outrageous old-fashioned ⇒ excited outrageous ∧ excited ∧ old-fashioned ⇒ calm embarrassed ∧ broad-minded ...
1
10
Facts: Batman is horrible [PERIOD] Rules: frightened [AND] gifted [IMPLY] friendly [PERIOD] hurt [IMPLY] dull [PERIOD] horrible [AND] fine [AND] sleepy [IMPLY] bossy [PERIOD] sleepy [IMPLY] fine [PERIOD] pessimistic [IMPLY] tidy [PERIOD] gifted [AND] frightened [IMPLY] horrible [PERIOD] horrible [IMPLY] tidy [PERIOD] ...
Proof chain: horrible ⇒ tidy tidy ⇒ fine horrible ⇒ tidy tidy ⇒ bossy bossy ⇒ gifted horrible ⇒ tidy tidy ⇒ fine horrible ⇒ tidy fine ∧ tidy ⇒ pessimistic fine ∧ gifted ∧ pessimistic ⇒ hurt
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10
Facts: Batman is spotless [PERIOD] Rules: selfish [IMPLY] average [PERIOD] disgusted [AND] naughty [AND] supportive [IMPLY] bored [PERIOD] talented [AND] zealous [IMPLY] comfortable [PERIOD] disgusted [AND] zealous [AND] fearless [IMPLY] talented [PERIOD] disgusted [IMPLY] supportive [PERIOD] enchanting [AND] talented...
Proof chain: spotless ⇒ bored bored ∧ spotless ⇒ average average ⇒ naughty naughty ⇒ comfortable comfortable ⇒ disgusted disgusted ⇒ supportive spotless ⇒ bored bored ∧ spotless ⇒ average average ⇒ fearless supportive ∧ fearless ∧ spotless ⇒ enchanting
1
10
Facts: Batman is fragile [PERIOD] Batman is clean [PERIOD] Batman is famous [PERIOD] Batman is hilarious [PERIOD] Batman is grumpy [PERIOD] Batman is proud [PERIOD] Batman is victorious [PERIOD] Batman is stupid [PERIOD] Rules: light [AND] grumpy [AND] gleaming [IMPLY] sincere [PERIOD] silly [AND] unpleasant [AND] fri...
Proof chain: victorious ∧ proud ⇒ tame victorious ∧ proud ⇒ tame grumpy ∧ tame ⇒ friendly friendly ⇒ modern victorious ∧ proud ⇒ tame grumpy ∧ tame ⇒ friendly modern ∧ proud ∧ friendly ⇒ sleepy sleepy ⇒ polite victorious ∧ tame ∧ polite ⇒ gleaming gleaming ⇒ selfish
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10
Facts: Batman is fancy [PERIOD] Batman is plain [PERIOD] Batman is stubborn [PERIOD] Batman is weary [PERIOD] Batman is clean [PERIOD] Batman is attentive [PERIOD] Rules: worried [AND] busy [AND] famous [IMPLY] stupid [PERIOD] anxious [IMPLY] clean [PERIOD] powerful [IMPLY] worrisome [PERIOD] lucky [AND] clean [IMPLY]...
Proof chain: weary ⇒ dishonest Cannot apply rule “stupid ∧ dishonest ∧ anxious ⇒ busy” because missing: stupid, anxious. plain ⇒ hypocritical hypocritical ⇒ famous famous ⇒ powerful plain ⇒ hypocritical hypocritical ⇒ famous Cannot apply rule “powerful ∧ uptight ∧ famous ⇒ busy” because missing:...
0
10
Facts: Batman is shiny [PERIOD] Batman is attractive [PERIOD] Batman is thoughtless [PERIOD] Batman is horrible [PERIOD] Batman is bright [PERIOD] Rules: curious [AND] aggressive [AND] calm [IMPLY] beautiful [PERIOD] horrible [AND] tense [IMPLY] bright [PERIOD] lonely [IMPLY] shiny [PERIOD] bright [AND] aggressive [IM...
Proof chain: horrible ⇒ calm attractive ⇒ aggressive aggressive ⇒ pleasant horrible ⇒ calm calm ∧ horrible ⇒ hypocritical calm ∧ pleasant ∧ hypocritical ⇒ blushing attractive ⇒ aggressive aggressive ∧ thoughtless ⇒ grumpy blushing ∧ grumpy ⇒ curious curious ⇒ lonely
1
10
Facts: Batman is fancy [PERIOD] Batman is easy [PERIOD] Rules: hurt [IMPLY] crowded [PERIOD] crowded [AND] sleepy [IMPLY] hurt [PERIOD] plain [AND] hurt [IMPLY] serious [PERIOD] ambitious [AND] easy [IMPLY] clean [PERIOD] clean [AND] crowded [AND] long [IMPLY] witty [PERIOD] joyous [IMPLY] serious [PERIOD] versatile [...
Proof chain: easy ⇒ victorious victorious ⇒ frightened frightened ⇒ hurt hurt ⇒ crowded easy ⇒ victorious fancy ∧ victorious ⇒ versatile crowded ∧ versatile ∧ fancy ⇒ sleepy fancy ∧ sleepy ∧ easy ⇒ plain easy ⇒ victorious plain ∧ victorious ⇒ witty
1
10
Facts: Batman is tidy [PERIOD] Rules: hypocritical [AND] famous [AND] average [IMPLY] confident [PERIOD] fancy [IMPLY] confident [PERIOD] selfish [IMPLY] attentive [PERIOD] average [IMPLY] jittery [PERIOD] muddy [IMPLY] confident [PERIOD] jittery [AND] stupid [AND] easy [IMPLY] wandering [PERIOD] jittery [AND] worriso...
Proof chain: tidy ⇒ fancy fancy ⇒ confident Cannot apply rule “tidy ∧ exuberant ∧ confident ⇒ selfish” because missing: exuberant. tidy ⇒ fancy fancy ⇒ confident Cannot apply rule “rational ∧ easy ∧ confident ⇒ selfish” because missing: rational, easy. tidy ⇒ fancy fancy ⇒ impatient Cannot ap...
0
10
Facts: Batman is dishonest [PERIOD] Batman is joyous [PERIOD] Batman is intellectual [PERIOD] Rules: joyous [AND] stormy [AND] curious [IMPLY] fine [PERIOD] intellectual [AND] dishonest [AND] friendly [IMPLY] perfect [PERIOD] elated [AND] joyous [AND] hilarious [IMPLY] charming [PERIOD] friendly [AND] bossy [IMPLY] am...
Proof chain: joyous ∧ intellectual ⇒ perfect perfect ⇒ charming Cannot apply rule “charming ∧ bossy ∧ selfish ⇒ confused” because missing: bossy, selfish. Cannot apply rule “ambitious ∧ fine ⇒ confused” because missing: ambitious, fine. Cannot apply rule “stormy ∧ elated ∧ hilarious ⇒ confused” because m...
0
10
Facts: Batman is hurt [PERIOD] Batman is worried [PERIOD] Batman is thoughtless [PERIOD] Batman is hilarious [PERIOD] Batman is adorable [PERIOD] Batman is fine [PERIOD] Rules: elegant [AND] pleasant [IMPLY] inexpensive [PERIOD] pleasant [AND] gorgeous [AND] worried [IMPLY] stormy [PERIOD] cute [AND] worried [IMPLY] a...
Proof chain: worried ⇒ victorious worried ⇒ straightforward straightforward ⇒ gorgeous gorgeous ⇒ talented worried ∧ talented ∧ thoughtless ⇒ inexpensive inexpensive ∧ fine ⇒ long long ⇒ confident confident ∧ thoughtless ⇒ stormy stormy ⇒ perfect hurt ∧ victorious ∧ perfect ⇒ sincere
1
10
Facts: Rules: glamorous [AND] sensible [IMPLY] versatile [PERIOD] glamorous [AND] tense [AND] versatile [IMPLY] sensible [PERIOD] stupid [IMPLY] sensible [PERIOD] stupid [AND] tense [IMPLY] sensible [PERIOD] enchanting [AND] versatile [IMPLY] sensible [PERIOD] tense [IMPLY] sensible [PERIOD] versatile [AND] enchanting...
Proof chain: Cannot apply rule “glamorous ∧ tense ∧ versatile ⇒ sensible” because missing: glamorous, tense, versatile. Cannot apply rule “stupid ⇒ sensible” because missing: stupid. Cannot apply rule “stupid ∧ tense ⇒ sensible” because missing: stupid, tense. Cannot apply rule “enchanting ∧ versatile ⇒ sen...
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10
Facts: Batman is worrisome [PERIOD] Batman is tidy [PERIOD] Batman is amused [PERIOD] Batman is wandering [PERIOD] Batman is good [PERIOD] Rules: loving [AND] average [IMPLY] cruel [PERIOD] amused [IMPLY] inexpensive [PERIOD] disobedient [IMPLY] distinct [PERIOD] worrisome [AND] tidy [AND] sleepy [IMPLY] hypocritical ...
Proof chain: wandering ⇒ sleepy worrisome ∧ tidy ∧ sleepy ⇒ hypocritical tidy ⇒ long wandering ∧ amused ⇒ friendly friendly ⇒ distinct hypocritical ∧ long ∧ distinct ⇒ quaint wandering ⇒ sleepy quaint ∧ sleepy ⇒ disobedient amused ⇒ inexpensive worrisome ∧ disobedient ∧ inexpensive ⇒ cruel...
1
10
Facts: Batman is shiny [PERIOD] Batman is grumpy [PERIOD] Batman is hypocritical [PERIOD] Batman is good [PERIOD] Batman is lucky [PERIOD] Rules: elegant [IMPLY] loving [PERIOD] grumpy [IMPLY] embarrassed [PERIOD] lucky [AND] helpless [IMPLY] tense [PERIOD] lucky [IMPLY] embarrassed [PERIOD] elegant [AND] sincere [IMP...
Proof chain: good ∧ lucky ⇒ hilarious hilarious ⇒ talkative good ∧ lucky ⇒ hilarious hilarious ∧ shiny ⇒ exuberant good ∧ lucky ⇒ hilarious grumpy ∧ exuberant ∧ hilarious ⇒ rude good ∧ talkative ∧ rude ⇒ friendly good ⇒ tense tense ⇒ spotless friendly ∧ spotless ∧ good ⇒ helpless
1
10
Facts: Batman is tidy [PERIOD] Batman is homely [PERIOD] Rules: thoughtless [IMPLY] horrible [PERIOD] scared [AND] weary [AND] average [IMPLY] reserved [PERIOD] average [AND] stormy [AND] worried [IMPLY] tidy [PERIOD] inquisitive [AND] horrible [IMPLY] straightforward [PERIOD] difficult [AND] weary [AND] diplomatic [I...
Proof chain: tidy ⇒ straightforward straightforward ⇒ clumsy clumsy ⇒ worried worried ⇒ reserved reserved ⇒ stormy tidy ⇒ straightforward straightforward ⇒ clumsy clumsy ⇒ worried worried ⇒ reserved tidy ∧ stormy ∧ reserved ⇒ fearless
1
10
Facts: Batman is friendly [PERIOD] Rules: gifted [IMPLY] fine [PERIOD] stupid [IMPLY] plain [PERIOD] lucky [AND] sensible [AND] uptight [IMPLY] troubled [PERIOD] frail [IMPLY] quaint [PERIOD] troubled [AND] friendly [AND] lucky [IMPLY] zealous [PERIOD] broad-minded [AND] gifted [AND] quaint [IMPLY] tender [PERIOD] gif...
Proof chain: friendly ⇒ zealous zealous ⇒ attractive attractive ⇒ sensible Cannot apply rule “sensible ∧ troubled ⇒ joyous” because missing: troubled. Cannot apply rule “quaint ⇒ joyous” because missing: quaint. friendly ⇒ tender friendly ∧ tender ⇒ fine fine ⇒ lucky Cannot apply rule “gleami...
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10
Facts: Batman is helpful [PERIOD] Batman is weary [PERIOD] Rules: careless [AND] diplomatic [AND] ambitious [IMPLY] courageous [PERIOD] supportive [AND] condemned [IMPLY] scared [PERIOD] quaint [AND] hurt [IMPLY] ambitious [PERIOD] wandering [IMPLY] zealous [PERIOD] helpful [AND] wandering [AND] attractive [IMPLY] con...
Proof chain: weary ⇒ average average ⇒ naughty Cannot apply rule “vivacious ∧ naughty ⇒ condemned” because missing: vivacious. weary ⇒ average Cannot apply rule “crowded ∧ average ∧ vivacious ⇒ condemned” because missing: crowded, vivacious. Cannot apply rule “supportive ⇒ condemned” because missing: ...
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10
Facts: Batman is disobedient [PERIOD] Batman is outrageous [PERIOD] Rules: outrageous [AND] ugly [AND] wrong [IMPLY] polite [PERIOD] modern [AND] outrageous [IMPLY] grumpy [PERIOD] grumpy [AND] charming [IMPLY] polite [PERIOD] supportive [AND] outrageous [IMPLY] polite [PERIOD] frail [AND] tense [AND] rational [IMPLY]...
Proof chain: outrageous ∧ disobedient ⇒ wrong Cannot apply rule “outrageous ∧ ugly ∧ wrong ⇒ polite” because missing: ugly. Cannot apply rule “grumpy ∧ charming ⇒ polite” because missing: grumpy, charming. Cannot apply rule “supportive ∧ outrageous ⇒ polite” because missing: supportive. Cannot apply rule...
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10
Facts: Batman is polite [PERIOD] Batman is curious [PERIOD] Batman is elegant [PERIOD] Rules: foolish [IMPLY] thoughtful [PERIOD] foolish [AND] talkative [AND] gifted [IMPLY] elegant [PERIOD] gleaming [IMPLY] jittery [PERIOD] inexpensive [IMPLY] crowded [PERIOD] inexpensive [IMPLY] popular [PERIOD] fancy [AND] foolish...
Proof chain: Cannot apply rule “crowded ∧ elegant ⇒ fancy” because missing: crowded. elegant ⇒ anxious Cannot apply rule “anxious ∧ ambitious ⇒ fancy” because missing: ambitious. elegant ⇒ anxious anxious ⇒ beautiful Cannot apply rule “gifted ∧ inexpensive ∧ beautiful ⇒ fancy” because missing: gifted,...
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10
Facts: Batman is grumpy [PERIOD] Batman is weary [PERIOD] Batman is gifted [PERIOD] Batman is cooperative [PERIOD] Rules: long [IMPLY] wide-eyed [PERIOD] naughty [AND] diplomatic [IMPLY] famous [PERIOD] embarrassed [AND] long [IMPLY] grumpy [PERIOD] wandering [AND] different [IMPLY] wide-eyed [PERIOD] grumpy [IMPLY] e...
Proof chain: grumpy ⇒ long long ∧ weary ⇒ naughty grumpy ⇒ long gifted ⇒ clean long ∧ clean ∧ weary ⇒ diplomatic naughty ∧ diplomatic ⇒ famous grumpy ⇒ long gifted ⇒ clean long ∧ clean ∧ weary ⇒ diplomatic famous ∧ diplomatic ⇒ tired
1
10
Facts: Batman is troubled [PERIOD] Batman is wandering [PERIOD] Rules: difficult [AND] hypocritical [IMPLY] smart [PERIOD] stormy [AND] smart [IMPLY] difficult [PERIOD] difficult [IMPLY] sensible [PERIOD] loving [IMPLY] hypocritical [PERIOD] troubled [AND] thoughtless [AND] hypocritical [IMPLY] jittery [PERIOD] stormy...
Proof chain: wandering ⇒ hurt troubled ∧ hurt ⇒ difficult difficult ∧ wandering ⇒ hypocritical wandering ⇒ hurt troubled ∧ hurt ⇒ difficult wandering ⇒ hurt troubled ∧ hurt ⇒ difficult difficult ∧ wandering ⇒ hypocritical difficult ∧ hypocritical ⇒ smart hypocritical ∧ smart ⇒ pleasant
1
10
Facts: Batman is loving [PERIOD] Batman is difficult [PERIOD] Batman is perfect [PERIOD] Batman is light [PERIOD] Batman is nervous [PERIOD] Batman is innocent [PERIOD] Rules: nervous [AND] spotless [AND] shy [IMPLY] reserved [PERIOD] wide-eyed [AND] nervous [AND] naughty [IMPLY] shiny [PERIOD] crowded [AND] messy [IM...
Proof chain: nervous ⇒ shy nervous ⇒ crowded light ∧ perfect ⇒ shiny shiny ⇒ unpleasant nervous ⇒ crowded light ∧ perfect ⇒ shiny shiny ⇒ unpleasant crowded ∧ unpleasant ⇒ naughty crowded ∧ unpleasant ∧ naughty ⇒ busy shy ∧ busy ⇒ gifted
1
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Facts: Batman is scared [PERIOD] Batman is foolish [PERIOD] Batman is modern [PERIOD] Batman is bossy [PERIOD] Batman is courageous [PERIOD] Batman is muddy [PERIOD] Batman is old-fashioned [PERIOD] Rules: tender [AND] foolish [AND] outrageous [IMPLY] shiny [PERIOD] tender [AND] enchanting [IMPLY] bossy [PERIOD] carel...
Proof chain: scared ⇒ outrageous Cannot apply rule “outrageous ∧ long ∧ scared ⇒ wrong” because missing: long. Cannot apply rule “tender ∧ blushing ∧ old-fashioned ⇒ wrong” because missing: tender, blushing. old-fashioned ⇒ curious curious ∧ modern ⇒ shiny old-fashioned ⇒ plain plain ⇒ fragile f...
0
10
Facts: Batman is long [PERIOD] Rules: lonely [IMPLY] shiny [PERIOD] long [AND] shiny [AND] beautiful [IMPLY] clean [PERIOD] clean [IMPLY] long [PERIOD] long [AND] lonely [IMPLY] sensible [PERIOD] clean [AND] long [IMPLY] lonely [PERIOD] sensible [AND] ugly [AND] shiny [IMPLY] beautiful [PERIOD] ugly [AND] beautiful [A...
Proof chain: long ⇒ clean clean ∧ long ⇒ lonely long ∧ lonely ⇒ sensible long ⇒ clean clean ∧ long ⇒ lonely lonely ⇒ shiny Cannot apply rule “sensible ∧ ugly ∧ shiny ⇒ beautiful” because missing: ugly. long ⇒ clean clean ∧ long ⇒ lonely Cannot apply rule “ugly ∧ lonely ∧ long ⇒ beautiful” ...
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10
Facts: Batman is stupid [PERIOD] Rules: selfish [AND] joyous [AND] dishonest [IMPLY] gorgeous [PERIOD] innocent [AND] selfish [IMPLY] impatient [PERIOD] horrible [AND] joyous [IMPLY] tame [PERIOD] versatile [IMPLY] shiny [PERIOD] horrible [AND] weary [AND] precious [IMPLY] versatile [PERIOD] agreeable [AND] horrible [...
Proof chain: Cannot apply rule “versatile ⇒ shiny” because missing: versatile. stupid ⇒ nervous nervous ∧ stupid ⇒ helpless Cannot apply rule “tidy ∧ helpless ∧ inexpensive ⇒ shiny” because missing: tidy, inexpensive. Cannot apply rule “tidy ∧ horrible ∧ stupid ⇒ shiny” because missing: tidy, horrible. ...
0
10
Facts: Batman is broad-minded [PERIOD] Batman is adorable [PERIOD] Batman is naughty [PERIOD] Batman is pessimistic [PERIOD] Batman is amused [PERIOD] Rules: polite [AND] adorable [AND] exuberant [IMPLY] cooperative [PERIOD] intellectual [AND] lucky [IMPLY] attractive [PERIOD] enchanting [AND] perfect [IMPLY] fancy [P...
Proof chain: naughty ⇒ bossy bossy ⇒ plain adorable ⇒ light light ⇒ exuberant plain ∧ exuberant ∧ broad-minded ⇒ outstanding adorable ⇒ light light ⇒ cooperative cooperative ⇒ perfect outstanding ∧ perfect ⇒ bad-tempered amused ∧ bad-tempered ⇒ thoughtful
1
10
Facts: Batman is gorgeous [PERIOD] Batman is innocent [PERIOD] Rules: naughty [IMPLY] attractive [PERIOD] shy [IMPLY] smart [PERIOD] smart [AND] attractive [IMPLY] helpless [PERIOD] muddy [IMPLY] beautiful [PERIOD] worrisome [IMPLY] smart [PERIOD] crowded [AND] helpless [IMPLY] muddy [PERIOD] careless [AND] powerful [...
Proof chain: innocent ⇒ combative combative ⇒ average average ⇒ difficult difficult ⇒ naughty naughty ⇒ attractive innocent ⇒ combative combative ⇒ average attractive ∧ average ⇒ thoughtful innocent ⇒ combative thoughtful ∧ combative ⇒ crowded
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10
Facts: Batman is excited [PERIOD] Batman is horrible [PERIOD] Rules: long [IMPLY] charming [PERIOD] shy [AND] excited [AND] weary [IMPLY] frail [PERIOD] calm [AND] horrible [AND] frail [IMPLY] shiny [PERIOD] long [AND] horrible [AND] excited [IMPLY] calm [PERIOD] calm [AND] horrible [AND] shiny [IMPLY] long [PERIOD] w...
Proof chain: Cannot apply rule “calm ∧ horrible ∧ shiny ⇒ long” because missing: calm, shiny. Cannot apply rule “frightened ⇒ long” because missing: frightened. horrible ⇒ pessimistic pessimistic ⇒ frail Cannot apply rule “frail ∧ weary ∧ shy ⇒ long” because missing: weary, shy. Cannot apply rule “shi...
0
10
Facts: Batman is rational [PERIOD] Batman is average [PERIOD] Rules: fine [AND] cooperative [IMPLY] glamorous [PERIOD] rational [IMPLY] tired [PERIOD] glamorous [AND] talkative [IMPLY] average [PERIOD] talented [AND] fine [AND] reserved [IMPLY] bad-tempered [PERIOD] cooperative [IMPLY] famous [PERIOD] talkative [IMPLY...
Proof chain: rational ⇒ proud proud ⇒ tame rational ⇒ tired tame ∧ tired ⇒ bad-tempered rational ⇒ tired rational ⇒ reserved average ⇒ troubled reserved ∧ troubled ⇒ mysterious rational ∧ tired ∧ mysterious ⇒ cooperative bad-tempered ∧ cooperative ∧ rational ⇒ blushing
1
10
Facts: Batman is alert [PERIOD] Batman is attractive [PERIOD] Batman is blushing [PERIOD] Batman is impartial [PERIOD] Rules: worried [AND] intellectual [AND] average [IMPLY] impartial [PERIOD] enchanting [AND] average [IMPLY] proud [PERIOD] popular [AND] sensible [AND] cooperative [IMPLY] average [PERIOD] impartial [...
Proof chain: impartial ⇒ worried attractive ∧ worried ⇒ elegant attractive ⇒ zealous zealous ⇒ disgusted elegant ∧ alert ∧ disgusted ⇒ enchanting enchanting ⇒ average attractive ⇒ zealous zealous ⇒ disgusted average ∧ disgusted ∧ attractive ⇒ condemned Cannot apply rule “foolish ∧ condemne...
0
10
Facts: Batman is naughty [PERIOD] Batman is busy [PERIOD] Batman is shiny [PERIOD] Rules: lonely [AND] nervous [IMPLY] versatile [PERIOD] versatile [IMPLY] helpless [PERIOD] victorious [IMPLY] bossy [PERIOD] glamorous [AND] serious [IMPLY] naughty [PERIOD] excited [AND] popular [IMPLY] versatile [PERIOD] naughty [AND]...
Proof chain: Cannot apply rule “sensible ⇒ easy” because missing: sensible. Cannot apply rule “wandering ∧ serious ⇒ easy” because missing: wandering, serious. shiny ⇒ careless Cannot apply rule “wandering ∧ careless ⇒ easy” because missing: wandering. Cannot apply rule “attentive ∧ attractive ⇒ easy” be...
0
10
Facts: Batman is inquisitive [PERIOD] Batman is long [PERIOD] Rules: sincere [AND] tender [AND] cute [IMPLY] strange [PERIOD] embarrassed [AND] tender [IMPLY] talkative [PERIOD] lonely [AND] scared [AND] precious [IMPLY] good [PERIOD] combative [IMPLY] tame [PERIOD] strange [AND] lonely [AND] tame [IMPLY] bossy [PERIO...
Proof chain: long ⇒ good long ⇒ good good ⇒ horrible long ⇒ good good ⇒ horrible horrible ⇒ tired tired ⇒ cute horrible ∧ cute ⇒ talkative talkative ⇒ tame good ∧ tame ⇒ embarrassed
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10
Facts: Batman is unpleasant [PERIOD] Batman is bad-tempered [PERIOD] Batman is diplomatic [PERIOD] Batman is confident [PERIOD] Batman is vivacious [PERIOD] Batman is quaint [PERIOD] Rules: gleaming [AND] bad-tempered [IMPLY] stormy [PERIOD] combative [AND] disgusted [IMPLY] stormy [PERIOD] bad-tempered [AND] stupid [...
Proof chain: diplomatic ⇒ modern quaint ∧ bad-tempered ∧ unpleasant ⇒ serious unpleasant ⇒ aggressive modern ∧ serious ∧ aggressive ⇒ frantic unpleasant ∧ frantic ∧ bad-tempered ⇒ stupid unpleasant ⇒ aggressive diplomatic ⇒ modern diplomatic ∧ quaint ⇒ stormy diplomatic ∧ modern ∧ stormy ⇒ co...
1
10
Facts: Batman is horrible [PERIOD] Rules: lucky [IMPLY] stubborn [PERIOD] modern [IMPLY] lucky [PERIOD] condemned [AND] anxious [AND] stubborn [IMPLY] polite [PERIOD] outstanding [AND] anxious [IMPLY] gleaming [PERIOD] innocent [AND] outstanding [AND] fearless [IMPLY] victorious [PERIOD] silly [AND] outstanding [IMPLY...
Proof chain: Cannot apply rule “enchanting ∧ outstanding ∧ attentive ⇒ stupid” because missing: enchanting, outstanding, attentive. Cannot apply rule “silly ∧ innocent ∧ condemned ⇒ stupid” because missing: silly, innocent, condemned. Cannot apply rule “innocent ∧ stubborn ⇒ stupid” because missing: innocent, ...
0
10
Facts: Batman is tired [PERIOD] Batman is sleepy [PERIOD] Batman is mean [PERIOD] Batman is reserved [PERIOD] Batman is stupid [PERIOD] Batman is joyous [PERIOD] Batman is vivacious [PERIOD] Batman is attentive [PERIOD] Batman is good [PERIOD] Rules: supportive [AND] tired [IMPLY] old-fashioned [PERIOD] old-fashioned ...
Proof chain: sleepy ∧ stupid ⇒ fine mean ⇒ beautiful beautiful ∧ tired ⇒ popular sleepy ∧ stupid ⇒ fine fine ∧ sleepy ⇒ tidy popular ∧ tidy ⇒ rational sleepy ∧ rational ⇒ aggressive sleepy ⇒ supportive aggressive ∧ attentive ∧ supportive ⇒ anxious fine ∧ anxious ∧ stupid ⇒ adorable
1
10
Facts: Batman is lucky [PERIOD] Batman is uptight [PERIOD] Batman is powerful [PERIOD] Batman is clumsy [PERIOD] Rules: bad-tempered [AND] mean [IMPLY] thoughtful [PERIOD] gifted [AND] weary [IMPLY] sensible [PERIOD] thoughtful [AND] elated [AND] mean [IMPLY] plain [PERIOD] clumsy [AND] powerful [IMPLY] rude [PERIOD] ...
Proof chain: uptight ⇒ mean mean ∧ powerful ⇒ gifted powerful ⇒ impatient clumsy ∧ powerful ⇒ rude rude ∧ clumsy ⇒ combative clumsy ∧ powerful ⇒ rude rude ∧ powerful ⇒ charming combative ∧ charming ⇒ sensible impatient ∧ sensible ⇒ weary gifted ∧ weary ⇒ zealous
1
10
Facts: Batman is nervous [PERIOD] Rules: hurt [AND] cooperative [AND] fancy [IMPLY] crowded [PERIOD] popular [AND] light [AND] stormy [IMPLY] attentive [PERIOD] stormy [IMPLY] adorable [PERIOD] crowded [AND] tidy [IMPLY] calm [PERIOD] difficult [IMPLY] zealous [PERIOD] rude [IMPLY] attentive [PERIOD] difficult [AND] f...
Proof chain: Cannot apply rule “nervous ∧ wandering ∧ fancy ⇒ difficult” because missing: wandering, fancy. Cannot apply rule “clean ⇒ difficult” because missing: clean. nervous ⇒ adorable nervous ⇒ shy adorable ∧ shy ⇒ disobedient disobedient ⇒ attentive attentive ⇒ cooperative Cannot apply rul...
0
10
Facts: Batman is calm [PERIOD] Batman is innocent [PERIOD] Rules: calm [AND] attentive [AND] worrisome [IMPLY] cute [PERIOD] broad-minded [IMPLY] precious [PERIOD] cute [AND] calm [IMPLY] light [PERIOD] worrisome [IMPLY] jittery [PERIOD] precious [AND] agreeable [AND] modern [IMPLY] pessimistic [PERIOD] loving [IMPLY]...
Proof chain: innocent ⇒ tense tense ⇒ famous famous ⇒ agreeable innocent ⇒ tense tense ∧ innocent ⇒ light light ⇒ precious innocent ⇒ tense tense ∧ innocent ⇒ light light ⇒ sincere agreeable ∧ precious ∧ sincere ⇒ worrisome
1
10
Facts: Batman is helpful [PERIOD] Batman is serious [PERIOD] Batman is broad-minded [PERIOD] Batman is gorgeous [PERIOD] Batman is diplomatic [PERIOD] Batman is intellectual [PERIOD] Rules: helpful [AND] gorgeous [AND] fine [IMPLY] shy [PERIOD] fine [IMPLY] alert [PERIOD] friendly [IMPLY] diplomatic [PERIOD] wandering...
Proof chain: helpful ⇒ cooperative cooperative ⇒ elated helpful ⇒ worrisome worrisome ⇒ fine helpful ⇒ cooperative cooperative ⇒ elated fine ∧ elated ⇒ frail frail ∧ intellectual ∧ broad-minded ⇒ calm elated ∧ calm ∧ intellectual ⇒ ugly ugly ∧ gorgeous ⇒ wandering
1
10
Facts: Batman is inexpensive [PERIOD] Batman is plain [PERIOD] Rules: inexpensive [AND] perfect [AND] sensible [IMPLY] intellectual [PERIOD] proud [AND] wide-eyed [AND] plain [IMPLY] messy [PERIOD] wide-eyed [AND] inexpensive [AND] plain [IMPLY] blushing [PERIOD] wide-eyed [IMPLY] bored [PERIOD] plain [AND] selfish [I...
Proof chain: Cannot apply rule “plain ∧ selfish ⇒ proud” because missing: selfish. Cannot apply rule “selfish ⇒ proud” because missing: selfish. plain ⇒ blushing plain ⇒ blushing blushing ⇒ troubled Cannot apply rule “blushing ∧ troubled ∧ bored ⇒ proud” because missing: bored. plain ⇒ clumsy pl...
0
10
Facts: Batman is wide-eyed [PERIOD] Batman is condemned [PERIOD] Rules: gleaming [AND] sensible [AND] famous [IMPLY] reserved [PERIOD] aggressive [AND] confident [AND] famous [IMPLY] bright [PERIOD] gleaming [AND] grumpy [IMPLY] famous [PERIOD] confident [AND] bright [IMPLY] pessimistic [PERIOD] reserved [AND] bright ...
Proof chain: condemned ⇒ gleaming condemned ⇒ gleaming wide-eyed ⇒ grumpy gleaming ∧ grumpy ⇒ famous Cannot apply rule “gleaming ∧ sensible ∧ famous ⇒ reserved” because missing: sensible. condemned ⇒ gleaming wide-eyed ⇒ grumpy gleaming ∧ grumpy ⇒ famous Cannot apply rule “famous ∧ sensible ∧...
0
10
Facts: Batman is comfortable [PERIOD] Batman is fragile [PERIOD] Batman is dull [PERIOD] Batman is intellectual [PERIOD] Batman is old-fashioned [PERIOD] Rules: old-fashioned [IMPLY] lucky [PERIOD] cruel [AND] famous [IMPLY] helpful [PERIOD] dull [AND] ugly [IMPLY] lucky [PERIOD] dull [AND] victorious [IMPLY] intellec...
Proof chain: intellectual ⇒ grumpy grumpy ⇒ quaint quaint ⇒ difficult intellectual ⇒ grumpy grumpy ∧ dull ⇒ cruel comfortable ⇒ lucky intellectual ⇒ grumpy lucky ∧ grumpy ⇒ famous cruel ∧ famous ⇒ helpful difficult ∧ helpful ∧ dull ⇒ unpleasant
1
10
Facts: Batman is courageous [PERIOD] Rules: condemned [IMPLY] wandering [PERIOD] condemned [AND] lucky [IMPLY] helpless [PERIOD] difficult [AND] tame [AND] smart [IMPLY] broad-minded [PERIOD] comfortable [IMPLY] precious [PERIOD] worrisome [IMPLY] powerful [PERIOD] muddy [AND] courageous [AND] inquisitive [IMPLY] lovi...
Proof chain: Cannot apply rule “difficult ∧ tame ∧ smart ⇒ broad-minded” because missing: difficult, tame, smart. Cannot apply rule “witty ⇒ broad-minded” because missing: witty. courageous ⇒ attentive attentive ⇒ impatient impatient ⇒ precious precious ⇒ ambitious courageous ⇒ attentive Cannot ...
0
10
Facts: Batman is homely [PERIOD] Batman is alert [PERIOD] Batman is elegant [PERIOD] Batman is sensible [PERIOD] Batman is comfortable [PERIOD] Batman is thoughtless [PERIOD] Batman is broad-minded [PERIOD] Rules: distinct [IMPLY] bossy [PERIOD] disgusted [IMPLY] bad-tempered [PERIOD] stupid [IMPLY] distinct [PERIOD] ...
Proof chain: comfortable ⇒ stupid sensible ⇒ bad-tempered thoughtless ⇒ exuberant bad-tempered ∧ elegant ∧ exuberant ⇒ rude alert ⇒ bossy bossy ⇒ inquisitive stupid ∧ rude ∧ inquisitive ⇒ proud comfortable ⇒ stupid thoughtless ∧ broad-minded ∧ comfortable ⇒ distinct proud ∧ stupid ∧ distin...
1
10
Facts: Batman is fearless [PERIOD] Rules: weary [AND] long [IMPLY] courageous [PERIOD] courageous [IMPLY] thoughtless [PERIOD] weary [IMPLY] precious [PERIOD] shy [AND] shiny [AND] helpless [IMPLY] long [PERIOD] fearless [AND] ugliest [AND] thoughtless [IMPLY] weary [PERIOD] long [IMPLY] helpless [PERIOD] ugliest [IMP...
Proof chain: Cannot apply rule “shy ∧ shiny ∧ helpless ⇒ long” because missing: shy, shiny, helpless. Cannot apply rule “weary ⇒ long” because missing: weary. Cannot apply rule “helpless ∧ ugliest ⇒ long” because missing: helpless, ugliest. Cannot apply rule “fearless ∧ joyous ⇒ long” because missing: joyou...
0
10
Facts: Batman is easy [PERIOD] Batman is strange [PERIOD] Batman is modern [PERIOD] Batman is messy [PERIOD] Batman is smart [PERIOD] Batman is clean [PERIOD] Batman is hurt [PERIOD] Batman is sincere [PERIOD] Rules: courageous [AND] attentive [AND] easy [IMPLY] innocent [PERIOD] gorgeous [AND] courageous [IMPLY] clum...
Proof chain: easy ⇒ impatient modern ∧ messy ⇒ fancy impatient ∧ fancy ⇒ courageous Cannot apply rule “gorgeous ∧ courageous ⇒ clumsy” because missing: gorgeous. easy ⇒ impatient modern ∧ messy ⇒ fancy impatient ∧ fancy ⇒ courageous courageous ⇒ innocent innocent ⇒ vivacious Cannot apply r...
0
10
Facts: Batman is stupid [PERIOD] Batman is reserved [PERIOD] Batman is talented [PERIOD] Batman is fancy [PERIOD] Batman is jittery [PERIOD] Rules: inquisitive [IMPLY] reserved [PERIOD] inquisitive [AND] grumpy [IMPLY] stupid [PERIOD] naughty [AND] old-fashioned [AND] stupid [IMPLY] rude [PERIOD] nervous [AND] talente...
Proof chain: Cannot apply rule “muddy ∧ famous ∧ talented ⇒ clumsy” because missing: muddy, famous. Cannot apply rule “nervous ∧ jittery ∧ inquisitive ⇒ clumsy” because missing: nervous, inquisitive. reserved ⇒ frail frail ⇒ naughty reserved ⇒ frail frail ⇒ grumpy naughty ∧ grumpy ⇒ rude fancy ∧...
0
10
Facts: Batman is helpful [PERIOD] Rules: charming [AND] curious [IMPLY] shiny [PERIOD] wide-eyed [IMPLY] shy [PERIOD] scared [AND] smart [IMPLY] shy [PERIOD] shiny [AND] bright [IMPLY] agreeable [PERIOD] shiny [AND] wide-eyed [IMPLY] agreeable [PERIOD] curious [AND] amused [IMPLY] wide-eyed [PERIOD] amused [IMPLY] hel...
Proof chain: Cannot apply rule “shiny ∧ bright ⇒ agreeable” because missing: shiny, bright. Cannot apply rule “shiny ∧ wide-eyed ⇒ agreeable” because missing: shiny, wide-eyed. Cannot apply rule “amused ∧ smart ⇒ agreeable” because missing: amused, smart. Cannot apply rule “smart ∧ fine ∧ helpful ⇒ agreeabl...
0
10
Facts: Batman is confused [PERIOD] Batman is worried [PERIOD] Batman is versatile [PERIOD] Batman is silly [PERIOD] Batman is disgusted [PERIOD] Batman is fine [PERIOD] Batman is famous [PERIOD] Rules: mysterious [AND] exuberant [AND] embarrassed [IMPLY] reserved [PERIOD] dull [IMPLY] modern [PERIOD] cooperative [IMPL...
Proof chain: fine ⇒ nervous silly ∧ nervous ⇒ cooperative cooperative ⇒ fearless fine ⇒ nervous silly ∧ nervous ⇒ cooperative cooperative ⇒ fearless confused ∧ fearless ⇒ precious fearless ∧ precious ⇒ scared scared ∧ confused ⇒ shy fine ∧ shy ⇒ tame
1
10
Facts: Batman is sincere [PERIOD] Batman is frightened [PERIOD] Batman is condemned [PERIOD] Batman is bright [PERIOD] Rules: frightened [AND] hypocritical [IMPLY] sincere [PERIOD] homely [AND] tense [AND] excited [IMPLY] straightforward [PERIOD] straightforward [AND] sincere [IMPLY] weary [PERIOD] sincere [AND] homel...
Proof chain: bright ⇒ straightforward condemned ⇒ confident confident ∧ sincere ⇒ excited bright ∧ excited ⇒ tense tense ⇒ homely condemned ⇒ confident confident ∧ sincere ⇒ excited bright ∧ excited ⇒ tense homely ∧ tense ⇒ hypocritical straightforward ∧ hypocritical ∧ condemned ⇒ attracti...
1
10
Facts: Batman is diplomatic [PERIOD] Batman is talkative [PERIOD] Rules: dishonest [AND] grumpy [IMPLY] inexpensive [PERIOD] diplomatic [IMPLY] nervous [PERIOD] grumpy [AND] dishonest [IMPLY] straightforward [PERIOD] dishonest [IMPLY] talkative [PERIOD] straightforward [AND] polite [IMPLY] grumpy [PERIOD] nervous [IMP...
Proof chain: Cannot apply rule “straightforward ∧ polite ⇒ grumpy” because missing: straightforward, polite. diplomatic ⇒ nervous Cannot apply rule “nervous ∧ dishonest ⇒ grumpy” because missing: dishonest. diplomatic ⇒ nervous nervous ⇒ intellectual Cannot apply rule “polite ∧ intellectual ⇒ grumpy” ...
0
10
Facts: Batman is glamorous [PERIOD] Rules: combative [AND] busy [AND] homely [IMPLY] ugliest [PERIOD] supportive [AND] homely [IMPLY] amused [PERIOD] gleaming [AND] ugliest [IMPLY] easy [PERIOD] careless [AND] inexpensive [AND] busy [IMPLY] easy [PERIOD] supportive [IMPLY] careless [PERIOD] stubborn [AND] inexpensive ...
Proof chain: glamorous ⇒ careless careless ⇒ combative combative ⇒ homely Cannot apply rule “supportive ∧ homely ⇒ amused” because missing: supportive. Cannot apply rule “busy ⇒ amused” because missing: busy. Cannot apply rule “disobedient ⇒ amused” because missing: disobedient. glamorous ⇒ careles...
0
10
Facts: Batman is tired [PERIOD] Batman is lonely [PERIOD] Rules: dishonest [AND] polite [AND] strange [IMPLY] ambitious [PERIOD] long [AND] careless [AND] lonely [IMPLY] rude [PERIOD] bright [AND] selfish [AND] beautiful [IMPLY] tired [PERIOD] glamorous [AND] strange [IMPLY] shy [PERIOD] careless [IMPLY] excited [PERI...
Proof chain: tired ⇒ selfish lonely ∧ selfish ⇒ long tired ⇒ strange tired ⇒ selfish selfish ⇒ beautiful tired ⇒ strange strange ⇒ polite strange ∧ beautiful ∧ polite ⇒ careless long ∧ careless ∧ lonely ⇒ rude tired ∧ rude ⇒ helpless
1
10
Facts: Batman is confident [PERIOD] Batman is polite [PERIOD] Batman is calm [PERIOD] Rules: mean [AND] confident [IMPLY] agreeable [PERIOD] confused [AND] pessimistic [IMPLY] agreeable [PERIOD] agreeable [IMPLY] polite [PERIOD] confused [AND] mean [AND] pessimistic [IMPLY] frantic [PERIOD] frantic [AND] strange [AND]...
Proof chain: polite ∧ calm ⇒ confused polite ∧ calm ⇒ innocent polite ∧ calm ⇒ confused polite ∧ confident ∧ calm ⇒ ugliest polite ∧ calm ⇒ innocent polite ∧ calm ⇒ innocent innocent ⇒ mean ugliest ∧ innocent ∧ mean ⇒ courageous confused ∧ courageous ⇒ silly confused ∧ innocent ∧ silly ⇒ z...
1
10
Facts: Batman is diplomatic [PERIOD] Rules: elated [IMPLY] ugly [PERIOD] frightened [AND] ugly [AND] stubborn [IMPLY] confident [PERIOD] weary [AND] frightened [IMPLY] confident [PERIOD] weary [AND] rude [AND] intellectual [IMPLY] victorious [PERIOD] helpless [AND] confident [IMPLY] intellectual [PERIOD] agreeable [AN...
Proof chain: diplomatic ⇒ weary weary ⇒ helpless helpless ⇒ frightened frightened ⇒ agreeable diplomatic ⇒ bossy bossy ⇒ intellectual intellectual ⇒ sensible sensible ⇒ gleaming diplomatic ⇒ weary agreeable ∧ gleaming ∧ weary ⇒ disobedient
1
10
Facts: Batman is reserved [PERIOD] Batman is clumsy [PERIOD] Batman is enchanting [PERIOD] Batman is versatile [PERIOD] Rules: uptight [AND] hurt [IMPLY] intellectual [PERIOD] disgusted [AND] average [IMPLY] stormy [PERIOD] reserved [AND] intellectual [AND] clumsy [IMPLY] versatile [PERIOD] stormy [AND] intellectual [...
Proof chain: enchanting ⇒ polite reserved ⇒ stormy versatile ⇒ disgusted disgusted ⇒ intellectual stormy ∧ intellectual ⇒ hurt versatile ⇒ average hurt ∧ average ⇒ uptight polite ∧ uptight ⇒ shy enchanting ⇒ polite shy ∧ reserved ∧ polite ⇒ loving
1
10
Facts: Rules: serious [AND] bored [IMPLY] perfect [PERIOD] frantic [AND] serious [IMPLY] wandering [PERIOD] enchanting [IMPLY] fancy [PERIOD] fancy [AND] wandering [IMPLY] frantic [PERIOD] joyous [AND] hypocritical [AND] frantic [IMPLY] fancy [PERIOD] serious [AND] wandering [IMPLY] perfect [PERIOD] perfect [IMPLY] se...
Proof chain: Cannot apply rule “fancy ∧ wandering ⇒ frantic” because missing: fancy, wandering. Cannot apply rule “joyous ∧ serious ∧ fancy ⇒ frantic” because missing: joyous, serious, fancy. Cannot apply rule “bored ∧ serious ∧ joyous ⇒ frantic” because missing: bored, serious, joyous. Cannot apply rule “s...
0
10
Facts: Batman is difficult [PERIOD] Batman is confident [PERIOD] Rules: intellectual [AND] nervous [AND] shy [IMPLY] wide-eyed [PERIOD] uptight [IMPLY] crowded [PERIOD] tidy [AND] famous [AND] shy [IMPLY] joyous [PERIOD] wrong [AND] wide-eyed [AND] confident [IMPLY] muddy [PERIOD] tidy [IMPLY] nervous [PERIOD] worried...
Proof chain: Cannot apply rule “joyous ⇒ popular” because missing: joyous. confident ⇒ intellectual intellectual ⇒ famous Cannot apply rule “muddy ∧ confident ∧ famous ⇒ popular” because missing: muddy. Cannot apply rule “wrong ⇒ popular” because missing: wrong. confident ⇒ intellectual intellectua...
0
10
Facts: Batman is clumsy [PERIOD] Batman is exuberant [PERIOD] Batman is cruel [PERIOD] Rules: modern [AND] unpleasant [IMPLY] exuberant [PERIOD] gleaming [IMPLY] clumsy [PERIOD] clumsy [IMPLY] gleaming [PERIOD] careless [IMPLY] proud [PERIOD] disgusted [IMPLY] confident [PERIOD] worried [AND] mean [IMPLY] cruel [PERIO...
Proof chain: clumsy ⇒ gleaming clumsy ⇒ gleaming gleaming ⇒ lucky gleaming ∧ lucky ⇒ talented talented ⇒ hypocritical Cannot apply rule “worried ∧ hypocritical ∧ exuberant ⇒ mean” because missing: worried. Cannot apply rule “worried ⇒ mean” because missing: worried. Cannot apply rule “perfect ⇒ ...
0
10
Facts: Batman is rude [PERIOD] Batman is famous [PERIOD] Rules: selfish [AND] beautiful [IMPLY] cruel [PERIOD] grumpy [IMPLY] gifted [PERIOD] talented [AND] cooperative [AND] rude [IMPLY] grumpy [PERIOD] courageous [AND] rude [AND] disobedient [IMPLY] busy [PERIOD] cooperative [IMPLY] talented [PERIOD] courageous [IMP...
Proof chain: rude ⇒ cruel famous ⇒ grumpy grumpy ⇒ gifted gifted ⇒ selfish famous ⇒ grumpy grumpy ⇒ gifted rude ⇒ cruel cruel ⇒ courageous selfish ∧ gifted ∧ courageous ⇒ talented cruel ∧ talented ⇒ busy
1
10
Facts: Batman is smart [PERIOD] Batman is modern [PERIOD] Rules: strange [IMPLY] naughty [PERIOD] unpleasant [AND] thoughtless [IMPLY] strange [PERIOD] jittery [AND] light [IMPLY] pessimistic [PERIOD] pessimistic [IMPLY] homely [PERIOD] pessimistic [AND] zealous [AND] unpleasant [IMPLY] versatile [PERIOD] outstanding ...
Proof chain: smart ⇒ versatile versatile ⇒ thoughtless smart ⇒ versatile versatile ⇒ thoughtless smart ∧ thoughtless ⇒ bright bright ⇒ curious smart ∧ curious ⇒ strange smart ⇒ versatile strange ∧ versatile ⇒ zealous thoughtless ∧ zealous ⇒ outstanding
1
10
Facts: Batman is reserved [PERIOD] Batman is supportive [PERIOD] Batman is strange [PERIOD] Rules: popular [AND] supportive [AND] crowded [IMPLY] hilarious [PERIOD] crowded [AND] outstanding [AND] excited [IMPLY] loving [PERIOD] hilarious [IMPLY] elegant [PERIOD] impatient [IMPLY] excited [PERIOD] crowded [IMPLY] elat...
Proof chain: reserved ⇒ stormy supportive ∧ stormy ⇒ outstanding Cannot apply rule “outstanding ∧ impatient ⇒ crowded” because missing: impatient. reserved ⇒ stormy reserved ⇒ stormy supportive ∧ stormy ⇒ outstanding outstanding ⇒ curious Cannot apply rule “stormy ∧ elegant ∧ curious ⇒ crowded” ...
0
10
Facts: Batman is pessimistic [PERIOD] Batman is victorious [PERIOD] Batman is lonely [PERIOD] Rules: anxious [IMPLY] serious [PERIOD] outstanding [AND] serious [AND] famous [IMPLY] elated [PERIOD] fearless [AND] muddy [IMPLY] difficult [PERIOD] clean [AND] outstanding [AND] lonely [IMPLY] versatile [PERIOD] exuberant ...
Proof chain: victorious ⇒ serious lonely ⇒ versatile versatile ⇒ lucky serious ∧ lucky ⇒ crowded crowded ⇒ difficult victorious ⇒ serious lonely ⇒ versatile versatile ⇒ lucky serious ∧ lucky ⇒ crowded difficult ∧ crowded ⇒ gleaming
1
10
Facts: Batman is amused [PERIOD] Batman is zealous [PERIOD] Batman is cooperative [PERIOD] Batman is different [PERIOD] Batman is polite [PERIOD] Rules: fearless [AND] pleasant [AND] wrong [IMPLY] mysterious [PERIOD] zealous [AND] cooperative [IMPLY] mysterious [PERIOD] grumpy [IMPLY] clumsy [PERIOD] fearless [IMPLY] ...
Proof chain: Cannot apply rule “horrible ⇒ straightforward” because missing: horrible. polite ⇒ spotless spotless ⇒ fearless Cannot apply rule “fearless ∧ impatient ∧ amused ⇒ straightforward” because missing: impatient. zealous ∧ cooperative ⇒ mysterious polite ⇒ spotless spotless ⇒ fearless Ca...
0
10
Facts: Batman is talented [PERIOD] Batman is frantic [PERIOD] Rules: frantic [AND] wide-eyed [AND] dull [IMPLY] excited [PERIOD] gorgeous [AND] dull [AND] amused [IMPLY] supportive [PERIOD] naughty [AND] amused [AND] supportive [IMPLY] gleaming [PERIOD] gorgeous [AND] excited [AND] dull [IMPLY] mean [PERIOD] mean [AND...
Proof chain: frantic ∧ talented ⇒ excited frantic ∧ talented ⇒ excited excited ⇒ dull Cannot apply rule “gorgeous ∧ excited ∧ dull ⇒ mean” because missing: gorgeous. frantic ∧ talented ⇒ excited excited ⇒ dull Cannot apply rule “dull ∧ talented ∧ supportive ⇒ mean” because missing: supportive. C...
0
10
Facts: Batman is ugly [PERIOD] Rules: confident [IMPLY] worrisome [PERIOD] courageous [AND] cute [IMPLY] worrisome [PERIOD] courageous [AND] clean [AND] confident [IMPLY] ugly [PERIOD] worrisome [AND] clean [AND] confident [IMPLY] worried [PERIOD] confident [IMPLY] courageous [PERIOD] worrisome [AND] clean [AND] ugly ...
Proof chain: ugly ⇒ confident confident ⇒ worrisome ugly ⇒ confident confident ⇒ courageous ugly ⇒ confident ugly ⇒ confident confident ⇒ cute courageous ∧ confident ∧ cute ⇒ clean ugly ⇒ confident worrisome ∧ clean ∧ confident ⇒ worried
1
10
Facts: Batman is frail [PERIOD] Batman is old-fashioned [PERIOD] Batman is tidy [PERIOD] Batman is messy [PERIOD] Batman is versatile [PERIOD] Rules: hurt [AND] long [AND] helpless [IMPLY] messy [PERIOD] powerful [IMPLY] modern [PERIOD] amused [AND] quaint [IMPLY] thoughtful [PERIOD] adorable [AND] long [AND] amused [...
Proof chain: frail ⇒ powerful powerful ⇒ modern modern ∧ versatile ⇒ quaint frail ⇒ powerful quaint ∧ versatile ∧ powerful ⇒ helpless helpless ⇒ smart frail ⇒ powerful frail ∧ smart ∧ powerful ⇒ adorable frail ⇒ amused Cannot apply rule “adorable ∧ long ∧ amused ⇒ clumsy” because missing: ...
0
10
Facts: Batman is precious [PERIOD] Batman is tidy [PERIOD] Batman is crowded [PERIOD] Batman is amused [PERIOD] Batman is plain [PERIOD] Rules: thoughtless [AND] amused [AND] tender [IMPLY] straightforward [PERIOD] serious [AND] troubled [AND] tender [IMPLY] average [PERIOD] hypocritical [AND] tidy [AND] gorgeous [IMP...
Proof chain: amused ⇒ straightforward straightforward ⇒ gorgeous Cannot apply rule “hypocritical ∧ tidy ∧ gorgeous ⇒ troubled” because missing: hypocritical. Cannot apply rule “careless ⇒ troubled” because missing: careless. Cannot apply rule “helpless ∧ average ∧ rude ⇒ troubled” because missing: helple...
0
10
Facts: Batman is uptight [PERIOD] Rules: smart [IMPLY] uptight [PERIOD] uptight [IMPLY] smart [PERIOD] exuberant [AND] homely [IMPLY] uptight [PERIOD] homely [AND] disobedient [IMPLY] smart [PERIOD] uptight [AND] disobedient [AND] wide-eyed [IMPLY] cooperative [PERIOD] wide-eyed [IMPLY] uptight [PERIOD] smart [AND] ho...
Proof chain: uptight ⇒ smart uptight ⇒ smart uptight ∧ smart ⇒ cooperative cooperative ⇒ homely uptight ∧ homely ⇒ exuberant uptight ⇒ smart uptight ∧ smart ⇒ cooperative uptight ⇒ smart exuberant ∧ cooperative ∧ smart ⇒ wide-eyed smart ∧ wide-eyed ∧ uptight ⇒ disobedient
1
10
Facts: Batman is disobedient [PERIOD] Batman is straightforward [PERIOD] Batman is enchanting [PERIOD] Batman is diplomatic [PERIOD] Batman is ugliest [PERIOD] Batman is mysterious [PERIOD] Batman is cooperative [PERIOD] Batman is impartial [PERIOD] Batman is silly [PERIOD] Rules: charming [AND] straightforward [AND] ...
Proof chain: impartial ⇒ anxious diplomatic ∧ silly ⇒ amused silly ∧ diplomatic ∧ amused ⇒ gleaming gleaming ⇒ fragile impartial ⇒ anxious diplomatic ∧ silly ⇒ amused straightforward ∧ amused ∧ enchanting ⇒ innocent straightforward ∧ anxious ∧ innocent ⇒ fancy fragile ∧ fancy ∧ mysterious ⇒ b...
0
10
Facts: Batman is loving [PERIOD] Batman is pleasant [PERIOD] Batman is attentive [PERIOD] Batman is confused [PERIOD] Batman is silly [PERIOD] Batman is frightened [PERIOD] Rules: confused [AND] enchanting [AND] beautiful [IMPLY] gorgeous [PERIOD] loving [AND] confused [AND] frightened [IMPLY] crowded [PERIOD] attenti...
Proof chain: attentive ⇒ tender tender ∧ frightened ∧ loving ⇒ glamorous loving ∧ confused ∧ frightened ⇒ crowded crowded ∧ pleasant ⇒ beautiful silly ∧ beautiful ⇒ enchanting loving ∧ confused ∧ frightened ⇒ crowded crowded ∧ pleasant ⇒ beautiful confused ∧ enchanting ∧ beautiful ⇒ gorgeous ...
1
10
Facts: Batman is disgusted [PERIOD] Batman is smart [PERIOD] Batman is tidy [PERIOD] Rules: disgusted [AND] tidy [AND] mean [IMPLY] cooperative [PERIOD] smart [AND] victorious [AND] rational [IMPLY] worrisome [PERIOD] enchanting [AND] cooperative [AND] tidy [IMPLY] messy [PERIOD] zealous [AND] confident [AND] dull [IM...
Proof chain: disgusted ⇒ mean disgusted ∧ tidy ∧ mean ⇒ cooperative cooperative ⇒ victorious victorious ⇒ worrisome worrisome ⇒ bright bright ⇒ outrageous outrageous ⇒ enchanting disgusted ⇒ mean disgusted ∧ tidy ∧ mean ⇒ cooperative enchanting ∧ cooperative ∧ tidy ⇒ messy
1
10
Facts: Batman is gorgeous [PERIOD] Batman is powerful [PERIOD] Batman is hypocritical [PERIOD] Batman is easy [PERIOD] Rules: straightforward [AND] average [AND] sensible [IMPLY] agreeable [PERIOD] powerful [AND] frantic [AND] rude [IMPLY] confused [PERIOD] gorgeous [IMPLY] agreeable [PERIOD] confused [AND] cute [IMPL...
Proof chain: easy ⇒ attractive attractive ⇒ stupid Cannot apply rule “victorious ∧ stupid ∧ sensible ⇒ proud” because missing: victorious, sensible. gorgeous ⇒ agreeable agreeable ⇒ anxious Cannot apply rule “anxious ∧ combative ⇒ proud” because missing: combative. gorgeous ⇒ agreeable agreeable...
0
10
Facts: Batman is hilarious [PERIOD] Rules: silly [IMPLY] friendly [PERIOD] hypocritical [AND] silly [AND] friendly [IMPLY] enchanting [PERIOD] silly [AND] scared [IMPLY] bad-tempered [PERIOD] smart [AND] witty [AND] hypocritical [IMPLY] bad-tempered [PERIOD] gorgeous [AND] witty [IMPLY] excited [PERIOD] hypocritical [...
Proof chain: hilarious ⇒ scared scared ⇒ enchanting enchanting ⇒ embarrassed embarrassed ⇒ inquisitive hilarious ⇒ scared scared ⇒ enchanting enchanting ⇒ embarrassed embarrassed ⇒ inquisitive inquisitive ∧ hilarious ⇒ bad-tempered inquisitive ∧ bad-tempered ⇒ wandering
1
10
Facts: Batman is wrong [PERIOD] Batman is distinct [PERIOD] Rules: bright [IMPLY] frantic [PERIOD] quaint [AND] frantic [AND] alert [IMPLY] bored [PERIOD] inexpensive [IMPLY] frantic [PERIOD] alert [IMPLY] scared [PERIOD] hurt [IMPLY] nervous [PERIOD] different [AND] wrong [AND] inquisitive [IMPLY] frantic [PERIOD] lo...
Proof chain: distinct ⇒ quaint Cannot apply rule “quaint ∧ enchanting ⇒ hurt” because missing: enchanting. distinct ⇒ quaint quaint ⇒ inquisitive inquisitive ⇒ bright bright ⇒ frantic Cannot apply rule “frantic ∧ wrong ∧ helpless ⇒ hurt” because missing: helpless. distinct ⇒ nervous distinct ...
0
10
Facts: Batman is bright [PERIOD] Batman is calm [PERIOD] Batman is popular [PERIOD] Rules: bossy [IMPLY] wrong [PERIOD] crowded [AND] excited [IMPLY] alert [PERIOD] blushing [IMPLY] curious [PERIOD] aggressive [AND] popular [AND] curious [IMPLY] ugly [PERIOD] popular [AND] aggressive [AND] easy [IMPLY] calm [PERIOD] d...
Proof chain: popular ⇒ messy messy ⇒ bossy bossy ⇒ crowded popular ⇒ ugly ugly ⇒ elegant calm ∧ elegant ⇒ aggressive popular ⇒ messy popular ⇒ ugly aggressive ∧ messy ∧ ugly ⇒ strange crowded ∧ strange ⇒ easy
1
10
Facts: Batman is jittery [PERIOD] Batman is average [PERIOD] Rules: zealous [AND] inquisitive [IMPLY] quaint [PERIOD] helpless [AND] zealous [AND] quaint [IMPLY] jittery [PERIOD] dishonest [AND] jittery [AND] quaint [IMPLY] confident [PERIOD] troubled [AND] sensible [IMPLY] quaint [PERIOD] helpful [AND] rational [IMPL...
Proof chain: average ⇒ gifted gifted ⇒ quaint quaint ∧ jittery ⇒ ambitious ambitious ⇒ helpful average ⇒ gifted average ⇒ gifted gifted ⇒ quaint quaint ∧ jittery ⇒ ambitious gifted ∧ jittery ∧ ambitious ⇒ inquisitive average ∧ helpful ∧ inquisitive ⇒ muddy
1
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Facts: Batman is versatile [PERIOD] Batman is cruel [PERIOD] Batman is confident [PERIOD] Rules: blushing [AND] cruel [AND] stormy [IMPLY] confident [PERIOD] ugliest [AND] powerful [AND] zealous [IMPLY] bad-tempered [PERIOD] cruel [IMPLY] alert [PERIOD] strange [AND] cooperative [AND] confident [IMPLY] ugliest [PERIOD...
Proof chain: confident ⇒ bright Cannot apply rule “reserved ∧ blushing ∧ bright ⇒ stormy” because missing: reserved, blushing. versatile ⇒ jittery confident ⇒ cute jittery ∧ cute ⇒ silly cruel ∧ silly ⇒ glamorous glamorous ⇒ dull dull ⇒ bad-tempered Cannot apply rule “bad-tempered ∧ ugliest ⇒...
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Facts: Batman is mean [PERIOD] Rules: condemned [IMPLY] frail [PERIOD] zealous [IMPLY] glamorous [PERIOD] cruel [IMPLY] glamorous [PERIOD] zealous [IMPLY] hurt [PERIOD] nervous [AND] helpful [IMPLY] silly [PERIOD] hurt [IMPLY] helpful [PERIOD] nervous [AND] hurt [IMPLY] glamorous [PERIOD] mean [IMPLY] frail [PERIOD] c...
Proof chain: Cannot apply rule “zealous ⇒ glamorous” because missing: zealous. Cannot apply rule “cruel ⇒ glamorous” because missing: cruel. mean ⇒ frail frail ⇒ helpful mean ⇒ frail mean ∧ helpful ∧ frail ⇒ nervous Cannot apply rule “nervous ∧ hurt ⇒ glamorous” because missing: hurt. Cannot app...
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Facts: Batman is alert [PERIOD] Batman is horrible [PERIOD] Batman is bored [PERIOD] Batman is old-fashioned [PERIOD] Rules: talkative [AND] rational [AND] old-fashioned [IMPLY] fragile [PERIOD] different [AND] inquisitive [IMPLY] versatile [PERIOD] bored [AND] horrible [AND] spotless [IMPLY] alert [PERIOD] old-fashio...
Proof chain: old-fashioned ⇒ rational old-fashioned ⇒ helpless helpless ⇒ fearless rational ∧ fearless ⇒ wide-eyed old-fashioned ⇒ rational old-fashioned ⇒ helpless helpless ⇒ fearless rational ∧ fearless ⇒ wide-eyed wide-eyed ⇒ difficult wide-eyed ∧ horrible ∧ difficult ⇒ inquisitive
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Facts: Batman is disgusted [PERIOD] Batman is dishonest [PERIOD] Batman is polite [PERIOD] Rules: enchanting [IMPLY] shiny [PERIOD] weary [IMPLY] versatile [PERIOD] versatile [IMPLY] serious [PERIOD] serious [AND] inquisitive [IMPLY] loving [PERIOD] weary [AND] lucky [AND] polite [IMPLY] disgusted [PERIOD] cooperative...
Proof chain: dishonest ⇒ weary dishonest ⇒ weary weary ⇒ outrageous polite ⇒ frightened dishonest ⇒ weary weary ⇒ versatile versatile ⇒ serious polite ⇒ cooperative frightened ∧ serious ∧ cooperative ⇒ horrible weary ∧ outrageous ∧ horrible ⇒ inquisitive
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Facts: Batman is beautiful [PERIOD] Batman is plain [PERIOD] Batman is lonely [PERIOD] Batman is diplomatic [PERIOD] Batman is broad-minded [PERIOD] Batman is blushing [PERIOD] Rules: ugly [AND] inexpensive [AND] uptight [IMPLY] inquisitive [PERIOD] inquisitive [IMPLY] blushing [PERIOD] talented [AND] homely [AND] dip...
Proof chain: blushing ⇒ clumsy Cannot apply rule “clumsy ∧ victorious ⇒ stupid” because missing: victorious. Cannot apply rule “dishonest ⇒ stupid” because missing: dishonest. lonely ⇒ ugly blushing ⇒ clumsy clumsy ∧ blushing ∧ diplomatic ⇒ thoughtless lonely ⇒ silly silly ⇒ ugliest ugly ∧ th...
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Facts: Batman is cute [PERIOD] Batman is embarrassed [PERIOD] Rules: strange [AND] long [IMPLY] hurt [PERIOD] combative [IMPLY] tame [PERIOD] zealous [IMPLY] fragile [PERIOD] long [AND] hilarious [AND] broad-minded [IMPLY] muddy [PERIOD] long [AND] zealous [IMPLY] distinct [PERIOD] outstanding [AND] stormy [IMPLY] pop...
Proof chain: cute ⇒ curious curious ⇒ long Cannot apply rule “strange ∧ long ⇒ hurt” because missing: strange. embarrassed ⇒ stormy Cannot apply rule “zealous ∧ stormy ⇒ hurt” because missing: zealous. Cannot apply rule “confused ∧ intellectual ⇒ hurt” because missing: confused, intellectual. cute ...
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Facts: Batman is frantic [PERIOD] Batman is bad-tempered [PERIOD] Batman is proud [PERIOD] Rules: proud [AND] exuberant [IMPLY] muddy [PERIOD] uptight [AND] frantic [AND] shy [IMPLY] thoughtful [PERIOD] muddy [IMPLY] exuberant [PERIOD] broad-minded [AND] frantic [AND] shy [IMPLY] thoughtful [PERIOD] shy [AND] thoughtf...
Proof chain: bad-tempered ⇒ broad-minded broad-minded ∧ frantic ∧ bad-tempered ⇒ courageous proud ∧ courageous ⇒ shy bad-tempered ⇒ broad-minded bad-tempered ⇒ broad-minded broad-minded ∧ frantic ∧ bad-tempered ⇒ courageous proud ∧ courageous ⇒ shy broad-minded ∧ frantic ∧ shy ⇒ thoughtful sh...
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Facts: Batman is difficult [PERIOD] Batman is wide-eyed [PERIOD] Rules: agreeable [IMPLY] serious [PERIOD] serious [AND] beautiful [IMPLY] reserved [PERIOD] serious [AND] reserved [IMPLY] ugly [PERIOD] selfish [AND] ugly [AND] combative [IMPLY] beautiful [PERIOD] lonely [AND] reserved [AND] outstanding [IMPLY] versati...
Proof chain: Cannot apply rule “frail ∧ wide-eyed ⇒ agreeable” because missing: frail. difficult ⇒ reserved reserved ⇒ serious difficult ⇒ reserved serious ∧ reserved ⇒ ugly Cannot apply rule “beautiful ∧ ugly ∧ lonely ⇒ agreeable” because missing: beautiful, lonely. difficult ⇒ reserved reserve...
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Facts: Batman is inquisitive [PERIOD] Batman is talented [PERIOD] Batman is long [PERIOD] Batman is distinct [PERIOD] Batman is popular [PERIOD] Rules: thoughtful [IMPLY] rude [PERIOD] precious [AND] inquisitive [AND] popular [IMPLY] supportive [PERIOD] helpless [IMPLY] tense [PERIOD] long [AND] popular [IMPLY] precio...
Proof chain: distinct ⇒ homely long ∧ inquisitive ⇒ busy homely ∧ busy ⇒ confused distinct ⇒ thoughtful thoughtful ⇒ rude confused ∧ rude ⇒ stormy long ∧ popular ⇒ precious precious ∧ inquisitive ∧ popular ⇒ supportive stormy ∧ supportive ∧ talented ⇒ tense tense ⇒ helpless
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Facts: Batman is rational [PERIOD] Batman is horrible [PERIOD] Batman is hilarious [PERIOD] Batman is condemned [PERIOD] Batman is fragile [PERIOD] Batman is sensible [PERIOD] Rules: helpless [AND] mean [AND] calm [IMPLY] diplomatic [PERIOD] fragile [IMPLY] dishonest [PERIOD] rational [AND] comfortable [AND] smart [IM...
Proof chain: fragile ⇒ dishonest horrible ∧ fragile ⇒ zealous rational ∧ zealous ⇒ calm calm ⇒ tender fragile ⇒ mean tender ∧ hilarious ∧ mean ⇒ helpless Cannot apply rule “messy ∧ dishonest ∧ helpless ⇒ comfortable” because missing: messy. fragile ⇒ mean mean ⇒ frantic Cannot apply rule “...
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Facts: Batman is outrageous [PERIOD] Batman is horrible [PERIOD] Rules: mysterious [IMPLY] bored [PERIOD] worrisome [AND] horrible [IMPLY] jittery [PERIOD] stormy [AND] horrible [AND] quaint [IMPLY] serious [PERIOD] weary [AND] confused [AND] mysterious [IMPLY] scared [PERIOD] wandering [IMPLY] quaint [PERIOD] jittery...
Proof chain: outrageous ⇒ sensible sensible ⇒ quaint quaint ⇒ mysterious mysterious ⇒ bored outrageous ⇒ sensible sensible ⇒ jittery jittery ⇒ proud outrageous ⇒ sensible proud ∧ sensible ⇒ messy bored ∧ messy ⇒ shiny
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Facts: Batman is cute [PERIOD] Batman is tame [PERIOD] Rules: wandering [AND] cute [AND] tired [IMPLY] diplomatic [PERIOD] muddy [AND] perfect [IMPLY] fancy [PERIOD] wandering [AND] cute [AND] agreeable [IMPLY] tired [PERIOD] diplomatic [AND] cute [AND] perfect [IMPLY] muddy [PERIOD] perfect [AND] inquisitive [AND] fr...
Proof chain: cute ⇒ muddy tame ∧ muddy ⇒ fancy Cannot apply rule “fancy ∧ diplomatic ∧ cute ⇒ straightforward” because missing: diplomatic. cute ⇒ muddy tame ∧ muddy ⇒ fancy fancy ⇒ fragile fragile ⇒ tired cute ⇒ muddy tame ∧ muddy ⇒ fancy Cannot apply rule “diplomatic ∧ tired ∧ fancy ⇒ st...
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Facts: Batman is impartial [PERIOD] Batman is ugly [PERIOD] Batman is wide-eyed [PERIOD] Batman is easy [PERIOD] Rules: aggressive [AND] long [IMPLY] ugly [PERIOD] ugly [AND] rational [IMPLY] lucky [PERIOD] curious [IMPLY] aggressive [PERIOD] inquisitive [AND] loving [IMPLY] messy [PERIOD] impartial [IMPLY] pessimisti...
Proof chain: impartial ⇒ pessimistic easy ∧ pessimistic ⇒ rational ugly ∧ rational ⇒ lucky impartial ⇒ pessimistic easy ∧ pessimistic ⇒ rational ugly ∧ rational ⇒ lucky lucky ⇒ wrong impartial ∧ wrong ⇒ friendly friendly ⇒ helpful Cannot apply rule “intellectual ∧ lucky ∧ helpful ⇒ long” b...
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Facts: Batman is sensible [PERIOD] Batman is bad-tempered [PERIOD] Batman is witty [PERIOD] Batman is sincere [PERIOD] Batman is troubled [PERIOD] Batman is cruel [PERIOD] Batman is cooperative [PERIOD] Batman is stubborn [PERIOD] Rules: confused [AND] sensible [IMPLY] broad-minded [PERIOD] cooperative [AND] fearless ...
Proof chain: bad-tempered ⇒ disobedient stubborn ∧ disobedient ∧ troubled ⇒ confused confused ⇒ comfortable sincere ⇒ easy sincere ⇒ easy witty ∧ stubborn ∧ easy ⇒ good comfortable ∧ easy ∧ good ⇒ hilarious sincere ⇒ easy sincere ∧ sensible ∧ easy ⇒ busy hilarious ∧ busy ⇒ dull
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Facts: Batman is cute [PERIOD] Batman is plain [PERIOD] Batman is clean [PERIOD] Batman is stubborn [PERIOD] Batman is distinct [PERIOD] Rules: curious [AND] gorgeous [AND] attractive [IMPLY] tired [PERIOD] muddy [AND] frightened [AND] cute [IMPLY] stupid [PERIOD] inexpensive [AND] clean [IMPLY] cute [PERIOD] plain [A...
Proof chain: distinct ⇒ impartial cute ⇒ attractive attractive ∧ plain ∧ distinct ⇒ busy busy ⇒ frightened distinct ∧ clean ⇒ inexpensive clean ⇒ careless careless ⇒ stormy distinct ⇒ impartial inexpensive ∧ stormy ∧ impartial ⇒ disgusted impartial ∧ frightened ∧ disgusted ⇒ curious
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Facts: Batman is strange [PERIOD] Batman is frightened [PERIOD] Batman is muddy [PERIOD] Rules: loving [AND] frail [AND] strange [IMPLY] tidy [PERIOD] mysterious [AND] helpless [AND] silly [IMPLY] witty [PERIOD] mysterious [IMPLY] frightened [PERIOD] pessimistic [AND] silly [IMPLY] attractive [PERIOD] helpful [AND] ug...
Proof chain: muddy ⇒ mysterious Cannot apply rule “mysterious ∧ polite ⇒ silly” because missing: polite. muddy ⇒ mysterious Cannot apply rule “frail ∧ polite ∧ mysterious ⇒ silly” because missing: frail, polite. frightened ⇒ naughty naughty ⇒ dishonest Cannot apply rule “dishonest ∧ pessimistic ∧ p...
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Facts: Batman is perfect [PERIOD] Rules: silly [AND] perfect [IMPLY] uptight [PERIOD] exuberant [AND] good [IMPLY] glamorous [PERIOD] disgusted [AND] glamorous [IMPLY] stormy [PERIOD] silly [AND] uptight [IMPLY] glamorous [PERIOD] anxious [AND] good [IMPLY] perfect [PERIOD] glamorous [AND] good [IMPLY] stormy [PERIOD]...
Proof chain: perfect ⇒ stormy perfect ⇒ stormy stormy ⇒ exuberant Cannot apply rule “stormy ∧ glamorous ∧ exuberant ⇒ disgusted” because missing: glamorous. Cannot apply rule “glamorous ∧ silly ⇒ disgusted” because missing: glamorous, silly. perfect ⇒ stormy stormy ⇒ exuberant Cannot apply rule ...
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Facts: Batman is careless [PERIOD] Batman is frightened [PERIOD] Rules: blushing [AND] worrisome [AND] clean [IMPLY] scared [PERIOD] fine [IMPLY] loving [PERIOD] clean [IMPLY] stupid [PERIOD] loving [AND] frightened [IMPLY] mysterious [PERIOD] versatile [AND] fancy [IMPLY] frightened [PERIOD] difficult [AND] stupid [I...
Proof chain: frightened ⇒ difficult frightened ∧ difficult ⇒ cooperative cooperative ⇒ blushing careless ⇒ jittery jittery ⇒ worrisome frightened ⇒ difficult frightened ∧ difficult ⇒ cooperative cooperative ⇒ versatile versatile ⇒ clean blushing ∧ worrisome ∧ clean ⇒ scared
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Facts: Batman is hurt [PERIOD] Batman is difficult [PERIOD] Rules: courageous [AND] long [AND] glamorous [IMPLY] cooperative [PERIOD] elated [AND] clean [IMPLY] enchanting [PERIOD] serious [AND] tense [AND] impartial [IMPLY] easy [PERIOD] impartial [IMPLY] cooperative [PERIOD] serious [AND] courageous [IMPLY] enchanti...
Proof chain: difficult ⇒ perfect hurt ⇒ tense difficult ∧ tense ⇒ courageous courageous ⇒ different difficult ⇒ perfect hurt ⇒ tense difficult ∧ tense ⇒ courageous perfect ∧ courageous ⇒ cooperative perfect ∧ different ∧ cooperative ⇒ fine fine ⇒ long
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Facts: Batman is confused [PERIOD] Batman is aggressive [PERIOD] Batman is loving [PERIOD] Batman is strange [PERIOD] Batman is grumpy [PERIOD] Rules: comfortable [IMPLY] quaint [PERIOD] grumpy [IMPLY] loving [PERIOD] sincere [AND] fine [AND] strange [IMPLY] rude [PERIOD] quaint [AND] comfortable [AND] smart [IMPLY] a...
Proof chain: Cannot apply rule “comfortable ⇒ quaint” because missing: comfortable. grumpy ⇒ charming aggressive ∧ confused ⇒ rude charming ∧ aggressive ∧ rude ⇒ innocent Cannot apply rule “fearless ∧ innocent ∧ grumpy ⇒ quaint” because missing: fearless. grumpy ⇒ charming aggressive ∧ confused ⇒ r...
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