Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is attentive [PERIOD] Rules: enchanting [IMPLY] impartial [PERIOD] attentive [AND] rational [AND] plain [IMPLY] strange [PERIOD] precious [IMPLY] famous [PERIOD] strange [AND] plain [IMPLY] enchanting [PERIOD] quaint [AND] impartial [AND] attentive [IMPLY] plain [PERIOD] enchanting [IMPLY] strange [PERIO...
Proof chain: attentive ⇒ famous famous ⇒ precious precious ∧ attentive ⇒ quaint attentive ⇒ famous quaint ∧ famous ∧ attentive ⇒ enchanting enchanting ⇒ impartial
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Facts: Batman is impatient [PERIOD] Batman is sincere [PERIOD] Batman is shy [PERIOD] Batman is busy [PERIOD] Batman is frail [PERIOD] Batman is foolish [PERIOD] Rules: elegant [AND] amused [IMPLY] impatient [PERIOD] elegant [AND] impatient [AND] smart [IMPLY] aggressive [PERIOD] smart [IMPLY] sincere [PERIOD] light [...
Proof chain: foolish ⇒ crowded shy ∧ crowded ⇒ elegant elegant ⇒ beautiful beautiful ⇒ condemned foolish ⇒ average condemned ∧ average ⇒ rude
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Facts: Batman is silly [PERIOD] Rules: messy [AND] nervous [IMPLY] naughty [PERIOD] wrong [AND] helpful [IMPLY] clean [PERIOD] loving [IMPLY] naughty [PERIOD] messy [AND] vivacious [IMPLY] weary [PERIOD] stubborn [AND] talkative [IMPLY] hilarious [PERIOD] vivacious [IMPLY] nervous [PERIOD] wrong [IMPLY] silly [PERIOD]...
Proof chain: silly ⇒ zealous zealous ⇒ adorable adorable ⇒ messy silly ⇒ zealous zealous ⇒ adorable messy ∧ adorable ⇒ confused
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Facts: Batman is hypocritical [PERIOD] Batman is proud [PERIOD] Batman is helpless [PERIOD] Rules: wrong [IMPLY] fine [PERIOD] uptight [AND] tender [IMPLY] fine [PERIOD] uptight [AND] good [IMPLY] fine [PERIOD] alert [AND] wrong [AND] attentive [IMPLY] precious [PERIOD] precious [IMPLY] good [PERIOD] weary [AND] stubb...
Proof chain: hypocritical ⇒ weary hypocritical ∧ weary ⇒ mean hypocritical ⇒ weary hypocritical ∧ weary ⇒ mean mean ⇒ distinct mean ∧ distinct ∧ hypocritical ⇒ tender
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Facts: Batman is embarrassed [PERIOD] Batman is gorgeous [PERIOD] Batman is stubborn [PERIOD] Batman is glamorous [PERIOD] Batman is plain [PERIOD] Rules: innocent [AND] bad-tempered [IMPLY] supportive [PERIOD] good [AND] careless [AND] pleasant [IMPLY] inquisitive [PERIOD] disgusted [AND] pleasant [AND] gorgeous [IMP...
Proof chain: embarrassed ⇒ bad-tempered Cannot apply rule “innocent ∧ bad-tempered ⇒ supportive” because missing: innocent. Cannot apply rule “fragile ⇒ supportive” because missing: fragile. Cannot apply rule “sincere ⇒ supportive” because missing: sincere. Cannot apply rule “foolish ⇒ supportive” becaus...
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6
Facts: Batman is tender [PERIOD] Rules: confident [AND] scared [IMPLY] light [PERIOD] smart [AND] gleaming [IMPLY] thoughtless [PERIOD] elated [AND] tender [IMPLY] gleaming [PERIOD] scared [AND] combative [IMPLY] powerful [PERIOD] thoughtless [IMPLY] gleaming [PERIOD] combative [AND] bossy [AND] homely [IMPLY] powerfu...
Proof chain: tender ⇒ tense tense ⇒ ugly ugly ⇒ elated elated ⇒ precious precious ⇒ combative combative ⇒ scared
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Facts: Rules: curious [AND] talkative [AND] lucky [IMPLY] troubled [PERIOD] curious [IMPLY] fragile [PERIOD] lucky [AND] fragile [AND] weary [IMPLY] curious [PERIOD] troubled [AND] disgusted [IMPLY] lucky [PERIOD] lucky [AND] disgusted [AND] fancy [IMPLY] talkative [PERIOD] lucky [AND] talkative [IMPLY] curious [PERIO...
Proof chain: Cannot apply rule “lucky ∧ fragile ∧ weary ⇒ curious” because missing: lucky, fragile, weary. Cannot apply rule “lucky ∧ talkative ⇒ curious” because missing: lucky, talkative. Cannot apply rule “disgusted ∧ fragile ∧ troubled ⇒ curious” because missing: disgusted, fragile, troubled. Cannot app...
0
6
Facts: Batman is aggressive [PERIOD] Batman is thoughtless [PERIOD] Batman is popular [PERIOD] Batman is agreeable [PERIOD] Batman is uptight [PERIOD] Batman is inexpensive [PERIOD] Batman is alert [PERIOD] Batman is glamorous [PERIOD] Batman is spotless [PERIOD] Batman is tidy [PERIOD] Batman is inquisitive [PERIOD] ...
Proof chain: inquisitive ⇒ beautiful alert ∧ glamorous ∧ beautiful ⇒ selfish selfish ∧ aggressive ⇒ blushing agreeable ⇒ serious serious ∧ glamorous ⇒ joyous blushing ∧ inquisitive ∧ joyous ⇒ unpleasant
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Facts: Batman is broad-minded [PERIOD] Rules: impatient [AND] courageous [IMPLY] easy [PERIOD] joyous [IMPLY] easy [PERIOD] joyous [AND] aggressive [IMPLY] alert [PERIOD] aggressive [AND] joyous [AND] impatient [IMPLY] broad-minded [PERIOD] joyous [AND] easy [AND] aggressive [IMPLY] alert [PERIOD] impatient [AND] broa...
Proof chain: Cannot apply rule “impatient ∧ charming ⇒ joyous” because missing: impatient, charming. Cannot apply rule “easy ∧ alert ⇒ joyous” because missing: easy, alert. Cannot apply rule “charming ⇒ joyous” because missing: charming. Cannot apply rule “alert ∧ courageous ⇒ joyous” because missing: alert...
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Facts: Batman is scared [PERIOD] Rules: selfish [IMPLY] scared [PERIOD] scared [AND] modern [AND] exuberant [IMPLY] quaint [PERIOD] inexpensive [AND] scared [AND] modern [IMPLY] selfish [PERIOD] quaint [IMPLY] scared [PERIOD] exuberant [AND] quaint [IMPLY] inexpensive [PERIOD] selfish [AND] scared [IMPLY] quaint [PERI...
Proof chain: Cannot apply rule “exuberant ∧ quaint ⇒ inexpensive” because missing: exuberant, quaint. Cannot apply rule “selfish ⇒ inexpensive” because missing: selfish. scared ⇒ modern Cannot apply rule “exuberant ∧ modern ⇒ inexpensive” because missing: exuberant. Cannot apply rule “exuberant ∧ scared ...
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6
Facts: Batman is old-fashioned [PERIOD] Batman is lucky [PERIOD] Rules: anxious [AND] old-fashioned [AND] troubled [IMPLY] perfect [PERIOD] lucky [IMPLY] anxious [PERIOD] perfect [AND] dishonest [IMPLY] anxious [PERIOD] calm [AND] versatile [AND] old-fashioned [IMPLY] dishonest [PERIOD] gifted [IMPLY] old-fashioned [P...
Proof chain: old-fashioned ⇒ dishonest dishonest ⇒ perfect old-fashioned ⇒ dishonest old-fashioned ⇒ dishonest dishonest ⇒ troubled perfect ∧ dishonest ∧ troubled ⇒ versatile
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Facts: Batman is tired [PERIOD] Rules: zealous [IMPLY] rational [PERIOD] excited [IMPLY] helpful [PERIOD] witty [AND] tense [AND] rational [IMPLY] excited [PERIOD] elegant [IMPLY] inquisitive [PERIOD] helpful [IMPLY] outrageous [PERIOD] elegant [IMPLY] outrageous [PERIOD] tense [AND] elegant [IMPLY] zealous [PERIOD] t...
Proof chain: Cannot apply rule “tense ⇒ elegant” because missing: tense. tired ⇒ zealous zealous ⇒ helpful tired ⇒ zealous zealous ⇒ rational Cannot apply rule “helpful ∧ witty ∧ rational ⇒ elegant” because missing: witty.
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Facts: Rules: attentive [IMPLY] anxious [PERIOD] combative [AND] clumsy [AND] attentive [IMPLY] enchanting [PERIOD] combative [AND] enchanting [AND] confident [IMPLY] clumsy [PERIOD] enchanting [IMPLY] anxious [PERIOD] clumsy [IMPLY] anxious [PERIOD] attentive [AND] anxious [IMPLY] confident [PERIOD] clumsy [AND] ench...
Proof chain: Cannot apply rule “attentive ⇒ anxious” because missing: attentive. Cannot apply rule “enchanting ⇒ anxious” because missing: enchanting. Cannot apply rule “clumsy ⇒ anxious” because missing: clumsy. Cannot apply rule “confident ∧ combative ∧ enchanting ⇒ anxious” because missing: confident, co...
0
6
Facts: Batman is attentive [PERIOD] Batman is different [PERIOD] Batman is pleasant [PERIOD] Rules: disgusted [IMPLY] witty [PERIOD] comfortable [AND] attentive [IMPLY] glamorous [PERIOD] witty [IMPLY] clean [PERIOD] witty [IMPLY] ambitious [PERIOD] glamorous [AND] witty [IMPLY] broad-minded [PERIOD] fine [AND] attent...
Proof chain: attentive ⇒ witty witty ⇒ ambitious different ⇒ comfortable comfortable ∧ attentive ⇒ glamorous different ⇒ comfortable ambitious ∧ glamorous ∧ comfortable ⇒ fine
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Facts: Batman is shiny [PERIOD] Batman is pessimistic [PERIOD] Batman is selfish [PERIOD] Rules: bored [AND] selfish [IMPLY] popular [PERIOD] impatient [IMPLY] supportive [PERIOD] gleaming [AND] impatient [AND] selfish [IMPLY] cruel [PERIOD] grumpy [AND] gleaming [IMPLY] spotless [PERIOD] rude [IMPLY] fine [PERIOD] wi...
Proof chain: shiny ⇒ weary weary ⇒ broad-minded broad-minded ⇒ grumpy shiny ⇒ weary weary ⇒ gleaming grumpy ∧ gleaming ⇒ spotless
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Facts: Batman is stubborn [PERIOD] Batman is helpless [PERIOD] Rules: mean [AND] thoughtful [AND] dull [IMPLY] confident [PERIOD] busy [AND] crowded [AND] dull [IMPLY] mean [PERIOD] helpless [AND] lonely [AND] stubborn [IMPLY] strange [PERIOD] mean [IMPLY] stubborn [PERIOD] mean [AND] smart [IMPLY] confident [PERIOD] ...
Proof chain: Cannot apply rule “thoughtful ⇒ fine” because missing: thoughtful. Cannot apply rule “crowded ⇒ fine” because missing: crowded. Cannot apply rule “mean ∧ dull ⇒ fine” because missing: mean, dull. Cannot apply rule “busy ∧ helpless ⇒ fine” because missing: busy. Cannot apply rule “silly ∧ con...
0
6
Facts: Batman is dishonest [PERIOD] Batman is friendly [PERIOD] Batman is difficult [PERIOD] Batman is impatient [PERIOD] Batman is nervous [PERIOD] Batman is intellectual [PERIOD] Batman is fancy [PERIOD] Rules: famous [AND] impatient [AND] unpleasant [IMPLY] scared [PERIOD] thoughtless [IMPLY] difficult [PERIOD] sca...
Proof chain: friendly ∧ dishonest ⇒ thoughtless friendly ⇒ scared thoughtless ∧ nervous ∧ scared ⇒ cooperative nervous ⇒ unpleasant unpleasant ⇒ cruel Cannot apply rule “cooperative ∧ cruel ∧ anxious ⇒ enchanting” because missing: anxious.
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Facts: Rules: horrible [AND] dull [AND] sensible [IMPLY] wrong [PERIOD] supportive [IMPLY] sensible [PERIOD] alert [AND] gorgeous [AND] vivacious [IMPLY] sensible [PERIOD] proud [IMPLY] gleaming [PERIOD] alert [IMPLY] proud [PERIOD] diplomatic [AND] bad-tempered [IMPLY] vivacious [PERIOD] frail [AND] vivacious [AND] d...
Proof chain: Cannot apply rule “alert ⇒ proud” because missing: alert. Cannot apply rule “wandering ∧ gorgeous ∧ quaint ⇒ proud” because missing: wandering, gorgeous, quaint. Cannot apply rule “impatient ⇒ proud” because missing: impatient. Cannot apply rule “frail ∧ dull ∧ supportive ⇒ proud” because missi...
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6
Facts: Batman is gleaming [PERIOD] Batman is thoughtful [PERIOD] Batman is tired [PERIOD] Rules: powerful [AND] precious [IMPLY] homely [PERIOD] versatile [IMPLY] powerful [PERIOD] versatile [AND] smart [IMPLY] gleaming [PERIOD] powerful [AND] tired [AND] smart [IMPLY] homely [PERIOD] gifted [AND] precious [AND] tired...
Proof chain: thoughtful ⇒ loving loving ⇒ versatile thoughtful ⇒ homely thoughtful ⇒ loving homely ∧ loving ⇒ powerful versatile ∧ powerful ⇒ easy
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Facts: Batman is versatile [PERIOD] Rules: enchanting [AND] elated [IMPLY] careless [PERIOD] cute [AND] courageous [IMPLY] nervous [PERIOD] serious [AND] pessimistic [AND] elated [IMPLY] curious [PERIOD] average [AND] enchanting [AND] elated [IMPLY] courageous [PERIOD] pessimistic [IMPLY] gleaming [PERIOD] muddy [AND]...
Proof chain: Cannot apply rule “cute ∧ courageous ⇒ nervous” because missing: cute, courageous. versatile ⇒ gleaming gleaming ∧ versatile ⇒ anxious Cannot apply rule “anxious ∧ rude ∧ different ⇒ nervous” because missing: rude, different. Cannot apply rule “scared ∧ serious ⇒ nervous” because missing: sc...
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Facts: Batman is dishonest [PERIOD] Rules: vivacious [IMPLY] condemned [PERIOD] dishonest [AND] nervous [AND] naughty [IMPLY] tired [PERIOD] condemned [AND] gifted [AND] tired [IMPLY] uptight [PERIOD] uptight [IMPLY] tired [PERIOD] dishonest [IMPLY] gifted [PERIOD] naughty [AND] pleasant [AND] curious [IMPLY] dishones...
Proof chain: Cannot apply rule “modern ⇒ distinct” because missing: modern. Cannot apply rule “disobedient ∧ strange ⇒ distinct” because missing: disobedient, strange. dishonest ⇒ gifted gifted ⇒ tense Cannot apply rule “tense ∧ naughty ⇒ distinct” because missing: naughty. Cannot apply rule “uptight ...
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Facts: Rules: pleasant [AND] jittery [AND] scared [IMPLY] weary [PERIOD] ugliest [AND] scared [AND] clumsy [IMPLY] blushing [PERIOD] scared [IMPLY] witty [PERIOD] weary [AND] witty [IMPLY] blushing [PERIOD] scared [IMPLY] diplomatic [PERIOD] witty [AND] pleasant [IMPLY] alert [PERIOD] diplomatic [AND] weary [IMPLY] cl...
Proof chain: Cannot apply rule “alert ⇒ jittery” because missing: alert. Cannot apply rule “blushing ∧ ugliest ⇒ jittery” because missing: blushing, ugliest. Cannot apply rule “witty ⇒ jittery” because missing: witty. Cannot apply rule “scared ∧ clumsy ∧ blushing ⇒ jittery” because missing: scared, clumsy, ...
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Facts: Batman is naughty [PERIOD] Batman is attentive [PERIOD] Batman is frightened [PERIOD] Rules: frail [AND] homely [IMPLY] bored [PERIOD] frightened [AND] combative [AND] disgusted [IMPLY] bored [PERIOD] elated [IMPLY] combative [PERIOD] frightened [AND] frail [AND] bored [IMPLY] attentive [PERIOD] disgusted [IMPL...
Proof chain: Cannot apply rule “frail ∧ homely ⇒ bored” because missing: frail, homely. Cannot apply rule “frightened ∧ combative ∧ disgusted ⇒ bored” because missing: combative, disgusted. Cannot apply rule “frail ∧ elated ∧ straightforward ⇒ bored” because missing: frail, elated, straightforward. naughty ...
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Facts: Batman is popular [PERIOD] Rules: frail [IMPLY] popular [PERIOD] unpleasant [AND] popular [AND] frail [IMPLY] fearless [PERIOD] enchanting [AND] agreeable [AND] shy [IMPLY] weary [PERIOD] naughty [AND] popular [AND] reserved [IMPLY] agreeable [PERIOD] weary [AND] fearless [IMPLY] reserved [PERIOD] reserved [AND...
Proof chain: Cannot apply rule “agreeable ∧ popular ⇒ unpleasant” because missing: agreeable. Cannot apply rule “shy ∧ worrisome ⇒ unpleasant” because missing: shy, worrisome. Cannot apply rule “agreeable ∧ frail ⇒ unpleasant” because missing: agreeable, frail. Cannot apply rule “reserved ⇒ unpleasant” beca...
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Facts: Batman is different [PERIOD] Rules: intellectual [IMPLY] homely [PERIOD] different [AND] muddy [IMPLY] homely [PERIOD] muddy [AND] smart [AND] ugly [IMPLY] aggressive [PERIOD] sincere [AND] long [AND] perfect [IMPLY] muddy [PERIOD] homely [IMPLY] intellectual [PERIOD] pleasant [AND] attractive [AND] ugly [IMPLY...
Proof chain: Cannot apply rule “sincere ∧ long ∧ perfect ⇒ muddy” because missing: sincere, long, perfect. Cannot apply rule “long ∧ attractive ∧ intellectual ⇒ muddy” because missing: long, attractive, intellectual. Cannot apply rule “intellectual ∧ smart ⇒ muddy” because missing: intellectual, smart. Cann...
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Facts: Batman is light [PERIOD] Batman is talkative [PERIOD] Batman is confident [PERIOD] Batman is cute [PERIOD] Batman is dull [PERIOD] Rules: plain [AND] loving [IMPLY] selfish [PERIOD] cute [IMPLY] charming [PERIOD] ambitious [AND] different [IMPLY] talkative [PERIOD] light [IMPLY] different [PERIOD] thoughtless [...
Proof chain: talkative ⇒ plain light ⇒ different talkative ∧ cute ⇒ naughty naughty ⇒ rational dull ∧ rational ⇒ worrisome plain ∧ different ∧ worrisome ⇒ wrong
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Facts: Batman is homely [PERIOD] Batman is old-fashioned [PERIOD] Batman is dull [PERIOD] Batman is hurt [PERIOD] Batman is glamorous [PERIOD] Batman is powerful [PERIOD] Batman is strange [PERIOD] Batman is condemned [PERIOD] Batman is cooperative [PERIOD] Batman is impatient [PERIOD] Rules: silly [AND] condemned [AN...
Proof chain: old-fashioned ∧ dull ∧ cooperative ⇒ loving hurt ∧ dull ∧ loving ⇒ shiny Cannot apply rule “impatient ∧ silly ∧ shiny ⇒ diplomatic” because missing: silly. old-fashioned ∧ dull ∧ cooperative ⇒ loving hurt ∧ dull ∧ loving ⇒ shiny Cannot apply rule “sensible ∧ dull ∧ shiny ⇒ diplomatic” bec...
0
6
Facts: Rules: curious [AND] nervous [IMPLY] enchanting [PERIOD] gorgeous [IMPLY] curious [PERIOD] nervous [AND] gorgeous [IMPLY] enchanting [PERIOD] rude [AND] curious [IMPLY] gorgeous [PERIOD] rude [IMPLY] gorgeous [PERIOD] nervous [AND] curious [IMPLY] innocent [PERIOD] attentive [AND] nervous [AND] rude [IMPLY] gor...
Proof chain: Cannot apply rule “curious ∧ nervous ⇒ enchanting” because missing: curious, nervous. Cannot apply rule “nervous ∧ gorgeous ⇒ enchanting” because missing: nervous, gorgeous. Cannot apply rule “attentive ∧ gorgeous ∧ innocent ⇒ enchanting” because missing: attentive, gorgeous, innocent. Cannot a...
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6
Facts: Rules: cruel [AND] curious [IMPLY] courageous [PERIOD] friendly [IMPLY] elated [PERIOD] courageous [AND] friendly [IMPLY] horrible [PERIOD] courageous [AND] alert [IMPLY] fancy [PERIOD] messy [AND] horrible [AND] elated [IMPLY] friendly [PERIOD] plain [AND] messy [AND] cruel [IMPLY] sincere [PERIOD] good [AND] ...
Proof chain: Cannot apply rule “curious ∧ helpful ⇒ impatient” because missing: curious, helpful. Cannot apply rule “horrible ⇒ impatient” because missing: horrible. Cannot apply rule “cruel ∧ alert ⇒ impatient” because missing: cruel, alert. Cannot apply rule “alert ∧ loving ∧ wide-eyed ⇒ impatient” becaus...
0
6
Facts: Batman is selfish [PERIOD] Batman is tender [PERIOD] Rules: tender [IMPLY] selfish [PERIOD] bored [AND] loving [IMPLY] tender [PERIOD] joyous [AND] lucky [AND] tender [IMPLY] frail [PERIOD] tender [AND] joyous [IMPLY] bored [PERIOD] lucky [AND] nervous [AND] bored [IMPLY] frail [PERIOD] bossy [IMPLY] tender [PE...
Proof chain: tender ⇒ bored bored ∧ tender ⇒ joyous tender ⇒ bored joyous ∧ bored ⇒ frail tender ⇒ bored frail ∧ bored ⇒ nervous
1
6
Facts: Batman is frantic [PERIOD] Batman is gorgeous [PERIOD] Rules: frantic [AND] gorgeous [IMPLY] fancy [PERIOD] gorgeous [AND] curious [AND] versatile [IMPLY] frantic [PERIOD] tense [AND] tidy [IMPLY] gorgeous [PERIOD] fancy [IMPLY] gorgeous [PERIOD] hypocritical [AND] versatile [IMPLY] tidy [PERIOD] frantic [AND] ...
Proof chain: gorgeous ⇒ versatile frantic ∧ versatile ⇒ curious gorgeous ⇒ versatile frantic ∧ versatile ⇒ curious curious ∧ gorgeous ⇒ hypocritical curious ∧ hypocritical ⇒ tense
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6
Facts: Batman is shiny [PERIOD] Batman is alert [PERIOD] Batman is shy [PERIOD] Batman is versatile [PERIOD] Batman is spotless [PERIOD] Batman is frightened [PERIOD] Batman is bored [PERIOD] Rules: difficult [AND] fine [AND] shy [IMPLY] bored [PERIOD] worried [AND] average [IMPLY] thoughtful [PERIOD] vivacious [IMPLY...
Proof chain: spotless ⇒ disgusted disgusted ⇒ wandering wandering ⇒ aggressive shiny ∧ spotless ⇒ average alert ∧ average ⇒ thoughtful alert ∧ aggressive ∧ thoughtful ⇒ difficult
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6
Facts: Batman is embarrassed [PERIOD] Batman is elegant [PERIOD] Batman is wandering [PERIOD] Batman is strange [PERIOD] Rules: anxious [AND] embarrassed [IMPLY] elegant [PERIOD] helpful [IMPLY] attentive [PERIOD] naughty [AND] anxious [IMPLY] embarrassed [PERIOD] worried [AND] beautiful [AND] spotless [IMPLY] elegant...
Proof chain: embarrassed ⇒ helpful helpful ⇒ attentive strange ∧ attentive ⇒ inquisitive embarrassed ⇒ helpful helpful ⇒ attentive inquisitive ∧ attentive ⇒ cruel
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Facts: Batman is ugliest [PERIOD] Batman is impartial [PERIOD] Rules: tidy [AND] weary [AND] bored [IMPLY] innocent [PERIOD] ugly [AND] impartial [AND] enchanting [IMPLY] bored [PERIOD] bad-tempered [IMPLY] tidy [PERIOD] weary [AND] ugly [AND] innocent [IMPLY] bored [PERIOD] innocent [IMPLY] bossy [PERIOD] bad-tempere...
Proof chain: ugliest ⇒ bored bored ⇒ bossy bossy ⇒ lonely ugliest ∧ lonely ⇒ weary ugliest ⇒ bored Cannot apply rule “tidy ∧ weary ∧ bored ⇒ innocent” because missing: tidy.
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Facts: Rules: shy [IMPLY] embarrassed [PERIOD] cruel [AND] charming [AND] gorgeous [IMPLY] elegant [PERIOD] crowded [AND] stupid [AND] embarrassed [IMPLY] curious [PERIOD] crowded [IMPLY] shy [PERIOD] stupid [IMPLY] gorgeous [PERIOD] wide-eyed [IMPLY] tame [PERIOD] tame [AND] charming [IMPLY] calm [PERIOD] dull [AND] ...
Proof chain: Cannot apply rule “charming ∧ crowded ⇒ hypocritical” because missing: charming, crowded. Cannot apply rule “dull ∧ cruel ∧ stupid ⇒ hypocritical” because missing: dull, cruel, stupid. Cannot apply rule “elegant ∧ shy ∧ tame ⇒ hypocritical” because missing: elegant, shy, tame. Cannot apply rule...
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6
Facts: Batman is glamorous [PERIOD] Batman is difficult [PERIOD] Batman is easy [PERIOD] Batman is agreeable [PERIOD] Batman is thoughtless [PERIOD] Batman is shiny [PERIOD] Batman is fragile [PERIOD] Rules: bossy [AND] fragile [AND] hurt [IMPLY] victorious [PERIOD] polite [IMPLY] weary [PERIOD] proud [AND] shiny [AND...
Proof chain: shiny ∧ fragile ⇒ bossy glamorous ⇒ frantic shiny ∧ frantic ⇒ pessimistic glamorous ⇒ frantic pessimistic ∧ frantic ⇒ hurt bossy ∧ fragile ∧ hurt ⇒ victorious
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Facts: Batman is pleasant [PERIOD] Batman is tame [PERIOD] Rules: pleasant [IMPLY] adorable [PERIOD] loving [AND] elated [AND] excited [IMPLY] cruel [PERIOD] tidy [IMPLY] cute [PERIOD] friendly [AND] thoughtful [IMPLY] tame [PERIOD] thoughtful [AND] careless [IMPLY] loving [PERIOD] cruel [AND] pleasant [IMPLY] loving ...
Proof chain: pleasant ⇒ adorable adorable ⇒ thoughtful pleasant ⇒ adorable adorable ⇒ plain pleasant ⇒ sleepy thoughtful ∧ plain ∧ sleepy ⇒ cute
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Facts: Rules: mysterious [IMPLY] tame [PERIOD] victorious [AND] mysterious [IMPLY] charming [PERIOD] troubled [IMPLY] alert [PERIOD] tame [AND] joyous [IMPLY] ambitious [PERIOD] mysterious [IMPLY] alert [PERIOD] cute [AND] straightforward [AND] alert [IMPLY] tame [PERIOD] shiny [AND] troubled [AND] charming [IMPLY] vi...
Proof chain: Cannot apply rule “tame ⇒ joyous” because missing: tame. Cannot apply rule “amused ⇒ joyous” because missing: amused. Cannot apply rule “innocent ⇒ joyous” because missing: innocent. Cannot apply rule “cute ∧ tame ⇒ joyous” because missing: cute, tame. Cannot apply rule “ambitious ∧ tame ⇒ j...
0
6
Facts: Batman is witty [PERIOD] Rules: grumpy [AND] shiny [IMPLY] talented [PERIOD] nervous [IMPLY] frantic [PERIOD] calm [AND] glamorous [AND] impatient [IMPLY] inquisitive [PERIOD] nervous [AND] grumpy [IMPLY] talented [PERIOD] shiny [AND] grumpy [AND] glamorous [IMPLY] nervous [PERIOD] calm [IMPLY] impatient [PERIO...
Proof chain: witty ⇒ different witty ⇒ different different ⇒ nervous nervous ⇒ talkative Cannot apply rule “different ∧ calm ∧ talkative ⇒ shiny” because missing: calm. Cannot apply rule “glamorous ⇒ shiny” because missing: glamorous.
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Facts: Rules: attentive [IMPLY] inquisitive [PERIOD] combative [IMPLY] powerful [PERIOD] thoughtful [AND] powerful [AND] curious [IMPLY] worried [PERIOD] spotless [IMPLY] combative [PERIOD] silly [IMPLY] inquisitive [PERIOD] selfish [IMPLY] mysterious [PERIOD] messy [IMPLY] lucky [PERIOD] attentive [AND] combative [IM...
Proof chain: Cannot apply rule “spotless ⇒ combative” because missing: spotless. Cannot apply rule “silly ∧ lucky ∧ wrong ⇒ combative” because missing: silly, lucky, wrong. Cannot apply rule “powerful ∧ bright ⇒ combative” because missing: powerful, bright. Cannot apply rule “worried ⇒ combative” because mi...
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6
Facts: Rules: gleaming [AND] comfortable [IMPLY] helpless [PERIOD] different [AND] joyous [AND] gleaming [IMPLY] helpless [PERIOD] elated [AND] gleaming [IMPLY] joyous [PERIOD] helpless [AND] confused [AND] gleaming [IMPLY] comfortable [PERIOD] elated [AND] comfortable [IMPLY] confused [PERIOD] broad-minded [AND] glea...
Proof chain: Cannot apply rule “elated ∧ comfortable ⇒ confused” because missing: elated, comfortable. Cannot apply rule “helpless ∧ different ⇒ confused” because missing: helpless, different. Cannot apply rule “broad-minded ∧ joyous ⇒ confused” because missing: broad-minded, joyous. Cannot apply rule “glea...
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6
Facts: Rules: distinct [AND] disgusted [AND] strange [IMPLY] elated [PERIOD] strange [AND] ugliest [AND] talented [IMPLY] famous [PERIOD] comfortable [AND] clumsy [IMPLY] bored [PERIOD] talented [AND] blushing [AND] disgusted [IMPLY] strange [PERIOD] blushing [AND] comfortable [IMPLY] plain [PERIOD] famous [AND] disti...
Proof chain: Cannot apply rule “clumsy ∧ wandering ∧ ugliest ⇒ talented” because missing: clumsy, wandering, ugliest. Cannot apply rule “bored ∧ ugliest ⇒ talented” because missing: bored, ugliest. Cannot apply rule “bored ∧ disgusted ∧ strange ⇒ talented” because missing: bored, disgusted, strange. Cannot ...
0
6
Facts: Batman is gorgeous [PERIOD] Rules: courageous [IMPLY] spotless [PERIOD] cute [AND] gorgeous [IMPLY] outrageous [PERIOD] outrageous [AND] courageous [IMPLY] shy [PERIOD] homely [AND] cute [IMPLY] courageous [PERIOD] comfortable [AND] shy [AND] outrageous [IMPLY] homely [PERIOD] shy [AND] outrageous [AND] gorgeou...
Proof chain: gorgeous ⇒ outrageous Cannot apply rule “outrageous ∧ courageous ⇒ shy” because missing: courageous. gorgeous ⇒ outrageous Cannot apply rule “outrageous ∧ homely ⇒ shy” because missing: homely. Cannot apply rule “cute ∧ comfortable ⇒ shy” because missing: cute, comfortable. Cannot apply r...
0
6
Facts: Batman is muddy [PERIOD] Batman is dishonest [PERIOD] Batman is selfish [PERIOD] Rules: rude [AND] diplomatic [AND] ugly [IMPLY] shiny [PERIOD] fine [AND] clumsy [AND] fearless [IMPLY] dishonest [PERIOD] dishonest [IMPLY] busy [PERIOD] pessimistic [AND] diplomatic [IMPLY] fearless [PERIOD] rude [AND] gifted [AN...
Proof chain: selfish ⇒ fine selfish ⇒ ugly fine ∧ ugly ⇒ gifted muddy ⇒ fearless fearless ⇒ shiny gifted ∧ shiny ⇒ rude
1
6
Facts: Batman is thoughtful [PERIOD] Batman is uptight [PERIOD] Batman is shiny [PERIOD] Batman is cooperative [PERIOD] Batman is mysterious [PERIOD] Batman is difficult [PERIOD] Batman is amused [PERIOD] Batman is diplomatic [PERIOD] Batman is talkative [PERIOD] Rules: stubborn [AND] fancy [AND] rude [IMPLY] helpless...
Proof chain: cooperative ∧ mysterious ⇒ precious precious ⇒ rude cooperative ∧ mysterious ⇒ precious precious ⇒ rude rude ∧ amused ⇒ helpless rude ∧ helpless ⇒ lonely
1
6
Facts: Batman is talented [PERIOD] Batman is victorious [PERIOD] Rules: talented [AND] intellectual [IMPLY] attentive [PERIOD] careless [IMPLY] talented [PERIOD] talented [IMPLY] gifted [PERIOD] victorious [AND] attractive [IMPLY] attentive [PERIOD] careless [AND] victorious [AND] intellectual [IMPLY] alert [PERIOD] n...
Proof chain: talented ⇒ gifted gifted ⇒ wrong wrong ∧ talented ⇒ alert alert ⇒ bored bored ⇒ attentive attentive ⇒ helpful
1
6
Facts: Batman is crowded [PERIOD] Batman is attractive [PERIOD] Rules: alert [IMPLY] rational [PERIOD] tired [AND] crowded [IMPLY] polite [PERIOD] broad-minded [AND] wrong [AND] unpleasant [IMPLY] crowded [PERIOD] hurt [AND] helpful [IMPLY] cruel [PERIOD] alert [AND] wrong [AND] helpful [IMPLY] witty [PERIOD] gleaming...
Proof chain: crowded ⇒ witty witty ⇒ wrong attractive ∧ wrong ⇒ nervous crowded ⇒ witty witty ⇒ wrong nervous ∧ wrong ⇒ polite
1
6
Facts: Batman is bored [PERIOD] Batman is frightened [PERIOD] Batman is gifted [PERIOD] Rules: long [AND] pessimistic [AND] bored [IMPLY] precious [PERIOD] gifted [IMPLY] bored [PERIOD] sleepy [IMPLY] zealous [PERIOD] sleepy [AND] long [AND] shy [IMPLY] courageous [PERIOD] gifted [IMPLY] zealous [PERIOD] courageous [A...
Proof chain: gifted ⇒ courageous frightened ⇒ precious gifted ⇒ zealous gifted ⇒ courageous precious ∧ zealous ∧ courageous ⇒ shy courageous ∧ shy ∧ frightened ⇒ helpful
1
6
Facts: Rules: famous [IMPLY] impartial [PERIOD] alert [AND] careless [AND] nervous [IMPLY] excited [PERIOD] impartial [AND] careless [IMPLY] confused [PERIOD] careless [AND] confused [IMPLY] alert [PERIOD] innocent [AND] confused [IMPLY] alert [PERIOD] nervous [AND] alert [IMPLY] innocent [PERIOD] impartial [AND] care...
Proof chain: Cannot apply rule “nervous ∧ alert ⇒ innocent” because missing: nervous, alert. Cannot apply rule “impartial ∧ careless ⇒ innocent” because missing: impartial, careless. Cannot apply rule “worrisome ∧ joyous ∧ adorable ⇒ innocent” because missing: worrisome, joyous, adorable. Cannot apply rule ...
0
6
Facts: Batman is frantic [PERIOD] Batman is cute [PERIOD] Rules: tidy [AND] disobedient [IMPLY] diplomatic [PERIOD] disobedient [AND] frantic [IMPLY] adorable [PERIOD] fragile [IMPLY] wrong [PERIOD] talkative [IMPLY] wide-eyed [PERIOD] talkative [IMPLY] gleaming [PERIOD] bad-tempered [AND] wide-eyed [AND] fancy [IMPLY...
Proof chain: cute ⇒ outrageous outrageous ⇒ wide-eyed cute ⇒ outrageous outrageous ⇒ wide-eyed wide-eyed ⇒ shiny wide-eyed ∧ shiny ⇒ talkative
1
6
Facts: Batman is dull [PERIOD] Batman is frail [PERIOD] Rules: famous [AND] disobedient [IMPLY] dull [PERIOD] dishonest [AND] proud [AND] aggressive [IMPLY] lonely [PERIOD] famous [IMPLY] proud [PERIOD] lonely [AND] frail [IMPLY] ambitious [PERIOD] aggressive [AND] lonely [IMPLY] disobedient [PERIOD] disobedient [IMPL...
Proof chain: dull ⇒ proud proud ∧ frail ⇒ famous dull ⇒ proud proud ∧ frail ⇒ famous famous ∧ dull ⇒ confident famous ∧ confident ∧ frail ⇒ scared
1
6
Facts: Batman is enchanting [PERIOD] Batman is serious [PERIOD] Rules: fearless [AND] easy [AND] enchanting [IMPLY] polite [PERIOD] polite [IMPLY] foolish [PERIOD] talkative [AND] foolish [AND] bright [IMPLY] wrong [PERIOD] serious [IMPLY] hurt [PERIOD] old-fashioned [AND] plain [AND] wrong [IMPLY] cruel [PERIOD] ench...
Proof chain: serious ⇒ hurt hurt ⇒ cruel serious ⇒ hurt serious ∧ hurt ⇒ unpleasant serious ⇒ hurt cruel ∧ unpleasant ∧ hurt ⇒ easy
1
6
Facts: Batman is average [PERIOD] Batman is inquisitive [PERIOD] Rules: disgusted [IMPLY] careless [PERIOD] quaint [AND] modern [AND] fearless [IMPLY] average [PERIOD] messy [AND] fearless [IMPLY] enchanting [PERIOD] quaint [AND] gifted [AND] old-fashioned [IMPLY] messy [PERIOD] impatient [IMPLY] fearless [PERIOD] stu...
Proof chain: Cannot apply rule “disgusted ⇒ careless” because missing: disgusted. inquisitive ⇒ pessimistic Cannot apply rule “polite ∧ weary ∧ pessimistic ⇒ careless” because missing: polite, weary. Cannot apply rule “average ∧ stupid ⇒ careless” because missing: stupid. Cannot apply rule “fearless ⇒ ca...
0
6
Facts: Batman is enchanting [PERIOD] Batman is tired [PERIOD] Batman is calm [PERIOD] Batman is smart [PERIOD] Batman is blushing [PERIOD] Batman is silly [PERIOD] Batman is spotless [PERIOD] Batman is naughty [PERIOD] Rules: quaint [AND] shy [AND] thoughtful [IMPLY] blushing [PERIOD] comfortable [AND] quaint [IMPLY] ...
Proof chain: tired ⇒ alert alert ⇒ curious calm ∧ naughty ∧ blushing ⇒ combative tired ∧ smart ∧ calm ⇒ quaint quaint ⇒ thoughtful curious ∧ combative ∧ thoughtful ⇒ muddy
1
6
Facts: Batman is loving [PERIOD] Batman is agreeable [PERIOD] Batman is innocent [PERIOD] Batman is homely [PERIOD] Batman is lucky [PERIOD] Batman is scared [PERIOD] Batman is ambitious [PERIOD] Rules: frail [AND] agreeable [AND] wrong [IMPLY] hilarious [PERIOD] agreeable [AND] bright [AND] fearless [IMPLY] impartial...
Proof chain: agreeable ⇒ impartial ambitious ⇒ tame agreeable ⇒ impartial tame ∧ impartial ⇒ bright bright ⇒ comfortable impartial ∧ comfortable ⇒ disobedient
1
6
Facts: Batman is charming [PERIOD] Batman is dishonest [PERIOD] Batman is courageous [PERIOD] Rules: uptight [AND] talkative [AND] fearless [IMPLY] plain [PERIOD] pleasant [AND] outstanding [AND] busy [IMPLY] precious [PERIOD] fearless [AND] thoughtless [AND] elegant [IMPLY] courageous [PERIOD] frail [AND] dull [IMPLY...
Proof chain: charming ∧ dishonest ⇒ precious courageous ⇒ elegant elegant ⇒ inexpensive inexpensive ⇒ busy busy ⇒ hypocritical precious ∧ hypocritical ⇒ talkative
1
6
Facts: Batman is unpleasant [PERIOD] Batman is ugliest [PERIOD] Rules: shiny [AND] ugliest [AND] combative [IMPLY] aggressive [PERIOD] aggressive [AND] ugliest [AND] plain [IMPLY] helpless [PERIOD] helpless [AND] lonely [IMPLY] ambitious [PERIOD] ugliest [IMPLY] shiny [PERIOD] ugliest [AND] helpless [AND] strange [IMP...
Proof chain: ugliest ⇒ shiny ugliest ⇒ lonely unpleasant ∧ ugliest ⇒ plain shiny ∧ lonely ∧ plain ⇒ frightened ugliest ⇒ shiny frightened ∧ shiny ⇒ combative
1
6
Facts: Batman is troubled [PERIOD] Batman is light [PERIOD] Rules: perfect [AND] outstanding [IMPLY] friendly [PERIOD] easy [AND] friendly [AND] tame [IMPLY] outstanding [PERIOD] tame [AND] friendly [AND] crowded [IMPLY] perfect [PERIOD] easy [IMPLY] reserved [PERIOD] homely [AND] light [IMPLY] reserved [PERIOD] crowd...
Proof chain: light ⇒ friendly friendly ⇒ easy light ⇒ friendly easy ∧ friendly ⇒ homely light ⇒ reserved homely ∧ reserved ⇒ perfect
1
6
Facts: Rules: clumsy [IMPLY] victorious [PERIOD] clumsy [AND] excited [AND] confused [IMPLY] embarrassed [PERIOD] unpleasant [IMPLY] easy [PERIOD] embarrassed [IMPLY] rational [PERIOD] proud [IMPLY] smart [PERIOD] smart [AND] exuberant [IMPLY] embarrassed [PERIOD] rational [AND] easy [IMPLY] smart [PERIOD] victorious ...
Proof chain: Cannot apply rule “clumsy ∧ excited ∧ confused ⇒ embarrassed” because missing: clumsy, excited, confused. Cannot apply rule “smart ∧ exuberant ⇒ embarrassed” because missing: smart, exuberant. Cannot apply rule “tidy ∧ rational ∧ thoughtful ⇒ embarrassed” because missing: tidy, rational, thoughtfu...
0
6
Facts: Batman is precious [PERIOD] Batman is reserved [PERIOD] Batman is hypocritical [PERIOD] Batman is clean [PERIOD] Batman is sensible [PERIOD] Batman is pessimistic [PERIOD] Batman is impatient [PERIOD] Batman is straightforward [PERIOD] Rules: sensible [AND] victorious [IMPLY] bossy [PERIOD] distinct [AND] bossy...
Proof chain: precious ∧ reserved ⇒ grumpy reserved ∧ impatient ⇒ attractive precious ∧ reserved ⇒ grumpy pessimistic ∧ grumpy ⇒ aggressive attractive ∧ aggressive ⇒ mysterious grumpy ∧ precious ∧ mysterious ⇒ intellectual
1
6
Facts: Batman is witty [PERIOD] Batman is muddy [PERIOD] Batman is thoughtful [PERIOD] Batman is different [PERIOD] Batman is ugliest [PERIOD] Batman is helpless [PERIOD] Rules: different [IMPLY] confident [PERIOD] joyous [AND] helpless [IMPLY] different [PERIOD] ugliest [IMPLY] vivacious [PERIOD] glamorous [IMPLY] th...
Proof chain: ugliest ⇒ vivacious vivacious ⇒ stupid different ⇒ fine fine ⇒ frail frail ⇒ impartial stupid ∧ impartial ⇒ stormy
1
6
Facts: Rules: vivacious [AND] reserved [IMPLY] talented [PERIOD] anxious [AND] broad-minded [IMPLY] powerful [PERIOD] talented [AND] tired [IMPLY] tidy [PERIOD] muddy [IMPLY] tender [PERIOD] talented [AND] exuberant [IMPLY] old-fashioned [PERIOD] tender [IMPLY] tired [PERIOD] cute [AND] broad-minded [AND] mean [IMPLY]...
Proof chain: Cannot apply rule “powerful ⇒ exuberant” because missing: powerful. Cannot apply rule “fine ∧ dull ∧ tired ⇒ exuberant” because missing: fine, dull, tired. Cannot apply rule “broad-minded ∧ vivacious ⇒ exuberant” because missing: broad-minded, vivacious. Cannot apply rule “vivacious ∧ tender ⇒ ...
0
6
Facts: Batman is nervous [PERIOD] Batman is attentive [PERIOD] Batman is condemned [PERIOD] Batman is joyous [PERIOD] Batman is crowded [PERIOD] Batman is hilarious [PERIOD] Rules: popular [AND] outstanding [AND] comfortable [IMPLY] attentive [PERIOD] popular [AND] thoughtless [AND] ugly [IMPLY] sincere [PERIOD] nervo...
Proof chain: hilarious ⇒ sensible sensible ⇒ smart hilarious ⇒ sensible sensible ⇒ smart smart ∧ hilarious ⇒ comfortable smart ∧ comfortable ⇒ clumsy
1
6
Facts: Rules: aggressive [AND] homely [IMPLY] clean [PERIOD] agreeable [AND] ugly [IMPLY] beautiful [PERIOD] beautiful [AND] agreeable [AND] clean [IMPLY] homely [PERIOD] fragile [AND] gifted [IMPLY] frightened [PERIOD] frightened [AND] aggressive [AND] outrageous [IMPLY] busy [PERIOD] aggressive [AND] ugly [AND] crow...
Proof chain: Cannot apply rule “aggressive ∧ ugly ∧ crowded ⇒ agreeable” because missing: aggressive, ugly, crowded. Cannot apply rule “crowded ∧ homely ⇒ agreeable” because missing: crowded, homely. Cannot apply rule “homely ⇒ agreeable” because missing: homely. Cannot apply rule “crowded ⇒ agreeable” beca...
0
6
Facts: Batman is elegant [PERIOD] Batman is popular [PERIOD] Batman is wide-eyed [PERIOD] Batman is smart [PERIOD] Batman is excited [PERIOD] Rules: jittery [AND] tired [AND] fragile [IMPLY] rational [PERIOD] wide-eyed [AND] elegant [AND] confident [IMPLY] fragile [PERIOD] wandering [AND] impatient [AND] witty [IMPLY]...
Proof chain: wide-eyed ⇒ jittery jittery ⇒ witty wide-eyed ⇒ jittery jittery ⇒ impartial witty ∧ impartial ⇒ silly silly ∧ elegant ⇒ fragile
1
6
Facts: Batman is careless [PERIOD] Batman is tender [PERIOD] Batman is different [PERIOD] Batman is precious [PERIOD] Batman is beautiful [PERIOD] Rules: average [IMPLY] fine [PERIOD] modern [AND] famous [IMPLY] different [PERIOD] unpleasant [AND] fine [IMPLY] straightforward [PERIOD] fine [AND] beautiful [AND] embarr...
Proof chain: Cannot apply rule “bad-tempered ⇒ pleasant” because missing: bad-tempered. tender ⇒ selfish Cannot apply rule “bad-tempered ∧ selfish ⇒ pleasant” because missing: bad-tempered. Cannot apply rule “famous ⇒ pleasant” because missing: famous. tender ⇒ selfish Cannot apply rule “selfish ∧ gla...
0
6
Facts: Batman is gifted [PERIOD] Rules: gleaming [IMPLY] broad-minded [PERIOD] outstanding [AND] light [AND] broad-minded [IMPLY] gifted [PERIOD] intellectual [IMPLY] outstanding [PERIOD] stubborn [IMPLY] precious [PERIOD] gifted [AND] powerful [IMPLY] beautiful [PERIOD] exuberant [IMPLY] gifted [PERIOD] light [AND] o...
Proof chain: Cannot apply rule “gleaming ⇒ broad-minded” because missing: gleaming. Cannot apply rule “light ∧ gifted ∧ precious ⇒ broad-minded” because missing: light, precious. Cannot apply rule “intellectual ⇒ broad-minded” because missing: intellectual. Cannot apply rule “stubborn ∧ precious ⇒ broad-min...
0
6
Facts: Batman is vivacious [PERIOD] Batman is rational [PERIOD] Batman is modern [PERIOD] Batman is amused [PERIOD] Batman is elegant [PERIOD] Batman is good [PERIOD] Batman is famous [PERIOD] Rules: distinct [AND] wandering [AND] bad-tempered [IMPLY] elated [PERIOD] versatile [IMPLY] famous [PERIOD] disobedient [AND]...
Proof chain: amused ⇒ impatient famous ⇒ versatile impatient ∧ versatile ⇒ different good ⇒ weary weary ⇒ anxious famous ∧ different ∧ anxious ⇒ blushing
1
6
Facts: Batman is old-fashioned [PERIOD] Batman is careless [PERIOD] Rules: outstanding [AND] wide-eyed [AND] bored [IMPLY] cruel [PERIOD] outstanding [IMPLY] thoughtful [PERIOD] outstanding [AND] careless [IMPLY] disobedient [PERIOD] careless [AND] modern [IMPLY] thoughtless [PERIOD] outstanding [IMPLY] different [PER...
Proof chain: old-fashioned ⇒ thoughtful thoughtful ⇒ pleasant old-fashioned ⇒ thoughtful thoughtful ⇒ tender tender ⇒ famous pleasant ∧ old-fashioned ∧ famous ⇒ mean
1
6
Facts: Batman is anxious [PERIOD] Batman is gorgeous [PERIOD] Batman is tidy [PERIOD] Rules: muddy [AND] ugliest [AND] comfortable [IMPLY] outstanding [PERIOD] rude [AND] embarrassed [AND] alert [IMPLY] bossy [PERIOD] comfortable [AND] selfish [IMPLY] ugliest [PERIOD] ugliest [AND] gorgeous [IMPLY] embarrassed [PERIOD...
Proof chain: tidy ∧ anxious ⇒ cooperative tidy ∧ anxious ⇒ cooperative tidy ⇒ bossy cooperative ∧ bossy ⇒ embarrassed cooperative ∧ embarrassed ⇒ alert alert ⇒ selfish
1
6
Facts: Batman is combative [PERIOD] Rules: busy [AND] strange [IMPLY] disgusted [PERIOD] joyous [AND] strange [IMPLY] bright [PERIOD] impartial [AND] strange [AND] victorious [IMPLY] pleasant [PERIOD] gifted [AND] impartial [IMPLY] busy [PERIOD] busy [AND] cruel [IMPLY] inexpensive [PERIOD] busy [AND] different [AND] ...
Proof chain: Cannot apply rule “uptight ⇒ different” because missing: uptight. Cannot apply rule “pleasant ∧ mysterious ∧ uptight ⇒ different” because missing: pleasant, mysterious, uptight. Cannot apply rule “supportive ∧ joyous ∧ gleaming ⇒ different” because missing: supportive, joyous, gleaming. Cannot ...
0
6
Facts: Batman is outstanding [PERIOD] Batman is rude [PERIOD] Batman is fragile [PERIOD] Batman is anxious [PERIOD] Batman is agreeable [PERIOD] Batman is charming [PERIOD] Batman is pleasant [PERIOD] Batman is stormy [PERIOD] Batman is dishonest [PERIOD] Rules: agreeable [AND] rude [AND] anxious [IMPLY] bossy [PERIOD...
Proof chain: agreeable ⇒ different Cannot apply rule “different ∧ charming ∧ supportive ⇒ glamorous” because missing: supportive. anxious ⇒ helpful helpful ⇒ diplomatic diplomatic ⇒ perfect Cannot apply rule “perfect ∧ stormy ∧ lucky ⇒ glamorous” because missing: lucky.
0
6
Facts: Batman is disgusted [PERIOD] Batman is homely [PERIOD] Batman is rational [PERIOD] Rules: different [AND] fancy [IMPLY] gifted [PERIOD] fancy [IMPLY] stupid [PERIOD] wandering [AND] troubled [AND] hilarious [IMPLY] calm [PERIOD] tame [AND] difficult [IMPLY] calm [PERIOD] courageous [IMPLY] loving [PERIOD] diffe...
Proof chain: rational ⇒ courageous courageous ⇒ impatient disgusted ∧ impatient ⇒ hilarious hilarious ∧ homely ⇒ fancy fancy ⇒ stupid stupid ⇒ gifted
1
6
Facts: Batman is intellectual [PERIOD] Batman is enchanting [PERIOD] Batman is confident [PERIOD] Batman is hurt [PERIOD] Rules: fancy [AND] frantic [AND] tidy [IMPLY] excited [PERIOD] hurt [AND] mysterious [IMPLY] confident [PERIOD] thoughtless [IMPLY] fancy [PERIOD] distinct [IMPLY] tidy [PERIOD] enchanting [IMPLY] ...
Proof chain: enchanting ⇒ jittery jittery ∧ intellectual ⇒ fancy fancy ⇒ excited enchanting ⇒ jittery jittery ⇒ attractive excited ∧ enchanting ∧ attractive ⇒ helpless
1
6
Facts: Rules: elegant [AND] pessimistic [AND] hurt [IMPLY] grumpy [PERIOD] fine [AND] mysterious [AND] wandering [IMPLY] shiny [PERIOD] elegant [AND] wandering [IMPLY] grumpy [PERIOD] fine [IMPLY] hurt [PERIOD] elegant [IMPLY] different [PERIOD] shiny [AND] fine [IMPLY] tired [PERIOD] elegant [IMPLY] wandering [PERIOD...
Proof chain: Cannot apply rule “elegant ∧ pessimistic ∧ hurt ⇒ grumpy” because missing: elegant, pessimistic, hurt. Cannot apply rule “elegant ∧ wandering ⇒ grumpy” because missing: elegant, wandering. Cannot apply rule “wandering ⇒ grumpy” because missing: wandering. Cannot apply rule “blushing ∧ wandering...
0
6
Facts: Batman is good [PERIOD] Rules: thoughtful [AND] supportive [AND] aggressive [IMPLY] ambitious [PERIOD] ambitious [AND] good [AND] aggressive [IMPLY] dishonest [PERIOD] hurt [IMPLY] aggressive [PERIOD] supportive [IMPLY] good [PERIOD] aggressive [IMPLY] dishonest [PERIOD] supportive [AND] good [AND] ambitious [I...
Proof chain: good ⇒ hilarious hilarious ⇒ supportive good ⇒ hilarious hilarious ⇒ supportive supportive ⇒ ambitious supportive ∧ good ∧ ambitious ⇒ aggressive
1
6
Facts: Batman is scared [PERIOD] Rules: scared [IMPLY] sensible [PERIOD] sensible [AND] strange [AND] nervous [IMPLY] scared [PERIOD] sensible [AND] nervous [AND] gifted [IMPLY] scared [PERIOD] sensible [IMPLY] nervous [PERIOD] strange [AND] nervous [AND] sensible [IMPLY] gifted [PERIOD] strange [AND] nervous [IMPLY] ...
Proof chain: scared ⇒ sensible sensible ⇒ strange scared ⇒ sensible sensible ⇒ nervous scared ⇒ sensible strange ∧ nervous ∧ sensible ⇒ gifted
1
6
Facts: Rules: gifted [AND] wrong [IMPLY] worrisome [PERIOD] busy [AND] worrisome [AND] foolish [IMPLY] gifted [PERIOD] enchanting [AND] glamorous [IMPLY] foolish [PERIOD] cruel [AND] foolish [AND] gifted [IMPLY] wrong [PERIOD] foolish [AND] enchanting [AND] busy [IMPLY] worrisome [PERIOD] cruel [IMPLY] gifted [PERIOD]...
Proof chain: Cannot apply rule “cruel ∧ foolish ∧ gifted ⇒ wrong” because missing: cruel, foolish, gifted. Cannot apply rule “cruel ∧ busy ∧ worrisome ⇒ wrong” because missing: cruel, busy, worrisome. Cannot apply rule “busy ⇒ wrong” because missing: busy. Cannot apply rule “busy ∧ gifted ∧ foolish ⇒ wrong”...
0
6
Facts: Rules: long [AND] outrageous [IMPLY] naughty [PERIOD] enchanting [AND] outrageous [IMPLY] long [PERIOD] naughty [AND] careless [AND] long [IMPLY] outrageous [PERIOD] long [AND] careless [IMPLY] naughty [PERIOD] outrageous [AND] careless [AND] long [IMPLY] naughty [PERIOD] careless [IMPLY] enchanting [PERIOD] ca...
Proof chain: Cannot apply rule “careless ⇒ enchanting” because missing: careless. Cannot apply rule “naughty ⇒ enchanting” because missing: naughty. Cannot apply rule “careless ∧ outrageous ⇒ enchanting” because missing: careless, outrageous. Cannot apply rule “long ⇒ enchanting” because missing: long. C...
0
6
Facts: Rules: pessimistic [AND] mean [IMPLY] friendly [PERIOD] mean [AND] condemned [IMPLY] horrible [PERIOD] pessimistic [AND] ugliest [AND] agreeable [IMPLY] condemned [PERIOD] mean [IMPLY] ugliest [PERIOD] embarrassed [AND] clumsy [IMPLY] long [PERIOD] agreeable [AND] friendly [IMPLY] bossy [PERIOD] shy [IMPLY] tam...
Proof chain: Cannot apply rule “pessimistic ∧ cooperative ∧ bossy ⇒ messy” because missing: pessimistic, cooperative, bossy. Cannot apply rule “worrisome ∧ pessimistic ∧ tame ⇒ messy” because missing: worrisome, pessimistic, tame. Cannot apply rule “worrisome ∧ clumsy ⇒ messy” because missing: worrisome, clums...
0
6
Facts: Rules: hypocritical [IMPLY] scared [PERIOD] friendly [IMPLY] joyous [PERIOD] hypocritical [AND] scared [IMPLY] friendly [PERIOD] scared [AND] friendly [AND] reserved [IMPLY] hypocritical [PERIOD] friendly [AND] hypocritical [AND] joyous [IMPLY] scared [PERIOD] scared [AND] reserved [IMPLY] joyous [PERIOD] joyou...
Proof chain: Cannot apply rule “hypocritical ∧ scared ⇒ friendly” because missing: hypocritical, scared. Cannot apply rule “scared ⇒ friendly” because missing: scared. Cannot apply rule “hypocritical ∧ joyous ∧ reserved ⇒ friendly” because missing: hypocritical, joyous, reserved. Cannot apply rule “scared ∧...
0
6
Facts: Rules: friendly [AND] joyous [IMPLY] busy [PERIOD] stubborn [AND] pleasant [AND] clean [IMPLY] tense [PERIOD] worried [AND] tense [AND] stubborn [IMPLY] pleasant [PERIOD] reserved [AND] friendly [IMPLY] pleasant [PERIOD] messy [IMPLY] comfortable [PERIOD] busy [IMPLY] pleasant [PERIOD] pleasant [AND] tense [AND...
Proof chain: Cannot apply rule “worried ∧ stubborn ∧ tense ⇒ friendly” because missing: worried, stubborn, tense. Cannot apply rule “versatile ⇒ friendly” because missing: versatile. Cannot apply rule “worried ∧ comfortable ⇒ friendly” because missing: worried, comfortable. Cannot apply rule “clean ∧ versat...
0
6
Facts: Batman is long [PERIOD] Batman is frightened [PERIOD] Batman is aggressive [PERIOD] Batman is alert [PERIOD] Batman is shy [PERIOD] Batman is famous [PERIOD] Rules: sincere [AND] frantic [IMPLY] stupid [PERIOD] pleasant [IMPLY] long [PERIOD] inexpensive [AND] aggressive [IMPLY] famous [PERIOD] helpless [IMPLY] ...
Proof chain: long ⇒ hypocritical alert ⇒ reserved reserved ∧ long ⇒ inexpensive hypocritical ∧ inexpensive ⇒ hurt aggressive ∧ long ⇒ enchanting long ∧ hurt ∧ enchanting ⇒ sincere
1
6
Facts: Rules: serious [AND] spotless [IMPLY] anxious [PERIOD] confused [IMPLY] zealous [PERIOD] old-fashioned [IMPLY] smart [PERIOD] anxious [AND] bright [IMPLY] good [PERIOD] tired [AND] aggressive [AND] bright [IMPLY] ugly [PERIOD] ugly [IMPLY] anxious [PERIOD] straightforward [IMPLY] smart [PERIOD] ugly [IMPLY] goo...
Proof chain: Cannot apply rule “ugly ∧ straightforward ∧ versatile ⇒ tired” because missing: ugly, straightforward, versatile. Cannot apply rule “versatile ∧ good ⇒ tired” because missing: versatile, good. Cannot apply rule “straightforward ⇒ tired” because missing: straightforward. Cannot apply rule “aggre...
0
6
Facts: Batman is average [PERIOD] Batman is proud [PERIOD] Batman is ambitious [PERIOD] Batman is sleepy [PERIOD] Batman is quaint [PERIOD] Batman is elegant [PERIOD] Rules: proud [AND] broad-minded [IMPLY] sleepy [PERIOD] unpleasant [IMPLY] rational [PERIOD] sleepy [IMPLY] broad-minded [PERIOD] proud [AND] elegant [I...
Proof chain: proud ⇒ broad-minded sleepy ⇒ helpful broad-minded ∧ helpful ⇒ glamorous sleepy ∧ proud ⇒ strange proud ⇒ rational glamorous ∧ strange ∧ rational ⇒ dishonest
1
6
Facts: Batman is mysterious [PERIOD] Batman is hilarious [PERIOD] Batman is long [PERIOD] Batman is troubled [PERIOD] Rules: mysterious [IMPLY] troubled [PERIOD] ambitious [AND] hilarious [AND] mysterious [IMPLY] comfortable [PERIOD] comfortable [AND] combative [IMPLY] mysterious [PERIOD] amused [AND] mysterious [IMPL...
Proof chain: hilarious ⇒ ambitious long ∧ hilarious ⇒ comfortable ambitious ∧ comfortable ⇒ strange troubled ∧ strange ∧ mysterious ⇒ hypocritical troubled ⇒ elated hypocritical ∧ elated ⇒ stubborn
1
6
Facts: Rules: tense [AND] disobedient [AND] naughty [IMPLY] average [PERIOD] loving [IMPLY] helpful [PERIOD] bad-tempered [IMPLY] outrageous [PERIOD] charming [AND] bad-tempered [AND] embarrassed [IMPLY] confident [PERIOD] disobedient [IMPLY] embarrassed [PERIOD] stupid [AND] nervous [IMPLY] ugliest [PERIOD] embarrass...
Proof chain: Cannot apply rule “embarrassed ∧ helpful ⇒ distinct” because missing: embarrassed, helpful. Cannot apply rule “ugliest ∧ helpless ⇒ distinct” because missing: ugliest, helpless. Cannot apply rule “spotless ⇒ distinct” because missing: spotless. Cannot apply rule “tense ∧ confident ⇒ distinct” b...
0
6
Facts: Batman is quaint [PERIOD] Rules: modern [IMPLY] silly [PERIOD] helpless [AND] bright [IMPLY] quaint [PERIOD] bright [IMPLY] elegant [PERIOD] foolish [IMPLY] lonely [PERIOD] worried [AND] helpless [AND] agreeable [IMPLY] foolish [PERIOD] silly [IMPLY] agreeable [PERIOD] lonely [AND] elegant [IMPLY] foolish [PERI...
Proof chain: quaint ⇒ foolish foolish ⇒ lonely lonely ⇒ worried quaint ∧ worried ⇒ modern modern ⇒ clean quaint ∧ clean ⇒ powerful
1
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Facts: Batman is elated [PERIOD] Rules: elated [IMPLY] thoughtless [PERIOD] talented [IMPLY] scared [PERIOD] talented [IMPLY] wide-eyed [PERIOD] talented [AND] elated [AND] selfish [IMPLY] scared [PERIOD] outstanding [AND] wide-eyed [IMPLY] elated [PERIOD] talented [IMPLY] elated [PERIOD] talented [AND] scared [IMPLY]...
Proof chain: elated ⇒ thoughtless thoughtless ⇒ talented elated ⇒ thoughtless thoughtless ⇒ talented talented ⇒ scared talented ∧ scared ⇒ selfish
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Facts: Batman is good [PERIOD] Batman is proud [PERIOD] Batman is stupid [PERIOD] Batman is innocent [PERIOD] Batman is victorious [PERIOD] Batman is bossy [PERIOD] Rules: supportive [IMPLY] worrisome [PERIOD] outrageous [AND] pleasant [IMPLY] victorious [PERIOD] bossy [AND] loving [IMPLY] proud [PERIOD] pessimistic [...
Proof chain: good ⇒ outrageous innocent ⇒ worrisome outrageous ∧ innocent ∧ worrisome ⇒ hurt innocent ⇒ worrisome good ⇒ anxious hurt ∧ worrisome ∧ anxious ⇒ exuberant
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Facts: Rules: tame [AND] combative [IMPLY] messy [PERIOD] messy [AND] scared [AND] mysterious [IMPLY] fancy [PERIOD] rude [AND] tense [AND] messy [IMPLY] nervous [PERIOD] scared [AND] tense [AND] nervous [IMPLY] mysterious [PERIOD] nervous [AND] rude [IMPLY] messy [PERIOD] nervous [AND] tense [AND] scared [IMPLY] mess...
Proof chain: Cannot apply rule “tame ∧ combative ⇒ messy” because missing: tame, combative. Cannot apply rule “nervous ∧ rude ⇒ messy” because missing: nervous, rude. Cannot apply rule “nervous ∧ tense ∧ scared ⇒ messy” because missing: nervous, tense, scared. Cannot apply rule “scared ⇒ messy” because miss...
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Facts: Batman is stubborn [PERIOD] Batman is thoughtless [PERIOD] Rules: proud [AND] messy [AND] bored [IMPLY] tame [PERIOD] proud [AND] amused [AND] stubborn [IMPLY] bored [PERIOD] hurt [IMPLY] combative [PERIOD] thoughtless [IMPLY] courageous [PERIOD] bored [IMPLY] proud [PERIOD] bored [AND] thoughtless [IMPLY] good...
Proof chain: thoughtless ⇒ proud proud ⇒ bored thoughtless ⇒ proud bored ∧ proud ⇒ messy thoughtless ⇒ good messy ∧ good ∧ thoughtless ⇒ thoughtful
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Facts: Batman is wrong [PERIOD] Rules: stormy [AND] muddy [IMPLY] disobedient [PERIOD] homely [AND] cooperative [IMPLY] wrong [PERIOD] ambitious [AND] blushing [AND] good [IMPLY] wrong [PERIOD] stormy [AND] cooperative [IMPLY] impartial [PERIOD] thoughtful [IMPLY] cute [PERIOD] impartial [IMPLY] tame [PERIOD] muddy [A...
Proof chain: Cannot apply rule “thoughtful ⇒ cute” because missing: thoughtful. Cannot apply rule “disobedient ⇒ cute” because missing: disobedient. Cannot apply rule “thoughtful ∧ good ∧ wrong ⇒ cute” because missing: thoughtful, good. Cannot apply rule “loving ∧ impartial ∧ ambitious ⇒ cute” because missi...
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Facts: Batman is impatient [PERIOD] Batman is difficult [PERIOD] Batman is serious [PERIOD] Batman is excited [PERIOD] Batman is innocent [PERIOD] Batman is condemned [PERIOD] Batman is wide-eyed [PERIOD] Batman is elegant [PERIOD] Batman is comfortable [PERIOD] Batman is worried [PERIOD] Rules: precious [AND] impatie...
Proof chain: comfortable ∧ wide-eyed ⇒ quaint quaint ∧ impatient ∧ serious ⇒ nervous impatient ⇒ worrisome worrisome ⇒ hypocritical hypocritical ⇒ horrible nervous ∧ impatient ∧ horrible ⇒ confused
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Facts: Rules: agreeable [AND] versatile [AND] shiny [IMPLY] crowded [PERIOD] shiny [AND] agreeable [IMPLY] gifted [PERIOD] elegant [IMPLY] powerful [PERIOD] charming [AND] versatile [AND] embarrassed [IMPLY] crowded [PERIOD] gifted [AND] shiny [AND] glamorous [IMPLY] combative [PERIOD] hilarious [IMPLY] agreeable [PER...
Proof chain: Cannot apply rule “agreeable ∧ versatile ∧ shiny ⇒ crowded” because missing: agreeable, versatile, shiny. Cannot apply rule “charming ∧ versatile ∧ embarrassed ⇒ crowded” because missing: charming, versatile, embarrassed. Cannot apply rule “embarrassed ∧ muddy ∧ elegant ⇒ crowded” because missing:...
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Facts: Batman is fine [PERIOD] Rules: amused [AND] fine [IMPLY] joyous [PERIOD] joyous [AND] condemned [IMPLY] plain [PERIOD] fine [AND] plain [AND] amused [IMPLY] condemned [PERIOD] fine [IMPLY] joyous [PERIOD] condemned [AND] fine [AND] amused [IMPLY] plain [PERIOD] joyous [IMPLY] condemned [PERIOD] plain [AND] fine...
Proof chain: fine ⇒ joyous fine ⇒ joyous joyous ⇒ condemned joyous ∧ condemned ⇒ plain fine ⇒ joyous plain ∧ fine ∧ joyous ⇒ amused
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Facts: Batman is perfect [PERIOD] Rules: attractive [AND] proud [AND] pessimistic [IMPLY] unpleasant [PERIOD] plain [AND] attractive [IMPLY] aggressive [PERIOD] proud [AND] unpleasant [IMPLY] aggressive [PERIOD] aggressive [AND] excited [AND] attractive [IMPLY] pessimistic [PERIOD] talented [AND] plain [IMPLY] attract...
Proof chain: perfect ⇒ plain Cannot apply rule “plain ∧ attractive ⇒ aggressive” because missing: attractive. Cannot apply rule “proud ∧ unpleasant ⇒ aggressive” because missing: proud, unpleasant. Cannot apply rule “excited ∧ perfect ⇒ aggressive” because missing: excited. perfect ⇒ plain Cannot appl...
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Facts: Batman is selfish [PERIOD] Batman is stubborn [PERIOD] Batman is precious [PERIOD] Batman is attractive [PERIOD] Batman is frail [PERIOD] Batman is long [PERIOD] Batman is comfortable [PERIOD] Rules: stubborn [AND] glamorous [AND] long [IMPLY] inquisitive [PERIOD] stubborn [AND] lucky [AND] talented [IMPLY] fra...
Proof chain: attractive ∧ long ⇒ glamorous stubborn ∧ glamorous ∧ long ⇒ inquisitive attractive ∧ long ⇒ glamorous attractive ∧ selfish ∧ precious ⇒ lucky comfortable ∧ lucky ⇒ stupid inquisitive ∧ glamorous ∧ stupid ⇒ cute
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Facts: Batman is stormy [PERIOD] Rules: friendly [IMPLY] good [PERIOD] friendly [AND] scared [AND] hypocritical [IMPLY] long [PERIOD] disobedient [IMPLY] zealous [PERIOD] scared [AND] zealous [AND] tender [IMPLY] diplomatic [PERIOD] sincere [AND] scared [IMPLY] elated [PERIOD] long [AND] disobedient [AND] tender [IMPL...
Proof chain: Cannot apply rule “long ∧ sincere ⇒ dull” because missing: long, sincere. Cannot apply rule “hypocritical ⇒ dull” because missing: hypocritical. Cannot apply rule “friendly ∧ combative ⇒ dull” because missing: friendly, combative. Cannot apply rule “uptight ⇒ dull” because missing: uptight. ...
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Facts: Batman is careless [PERIOD] Rules: zealous [IMPLY] careless [PERIOD] excited [IMPLY] careless [PERIOD] careless [IMPLY] zealous [PERIOD] hypocritical [AND] excited [AND] good [IMPLY] careless [PERIOD] zealous [IMPLY] good [PERIOD] diplomatic [IMPLY] hypocritical [PERIOD] hypocritical [AND] grumpy [AND] zealous ...
Proof chain: careless ⇒ zealous careless ⇒ zealous zealous ⇒ good zealous ∧ good ⇒ diplomatic careless ⇒ zealous diplomatic ∧ zealous ⇒ excited
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