Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is unpleasant [PERIOD] Rules: outstanding [AND] innocent [IMPLY] courageous [PERIOD] tame [IMPLY] courageous [PERIOD] wandering [AND] light [IMPLY] crowded [PERIOD] courageous [IMPLY] wandering [PERIOD] courageous [IMPLY] attractive [PERIOD] tame [AND] frantic [IMPLY] light [PERIOD] outstanding [AND] wan...
Proof chain: Cannot apply rule “wandering ∧ outstanding ∧ tame ⇒ innocent” because missing: wandering, outstanding, tame. Cannot apply rule “attractive ⇒ innocent” because missing: attractive. Cannot apply rule “easy ∧ tame ⇒ innocent” because missing: easy, tame. Cannot apply rule “outstanding ∧ easy ⇒ inn...
0
6
Facts: Batman is average [PERIOD] Batman is talkative [PERIOD] Batman is bad-tempered [PERIOD] Rules: long [IMPLY] bright [PERIOD] fine [AND] average [IMPLY] famous [PERIOD] fragile [IMPLY] worried [PERIOD] fragile [AND] friendly [AND] bored [IMPLY] talkative [PERIOD] average [AND] friendly [IMPLY] bored [PERIOD] joyo...
Proof chain: average ⇒ famous bad-tempered ⇒ joyous average ⇒ famous joyous ∧ famous ⇒ bored bad-tempered ⇒ joyous famous ∧ bored ∧ joyous ⇒ fine
1
6
Facts: Batman is silly [PERIOD] Batman is versatile [PERIOD] Batman is homely [PERIOD] Batman is proud [PERIOD] Batman is horrible [PERIOD] Rules: messy [IMPLY] grumpy [PERIOD] courageous [AND] difficult [IMPLY] silly [PERIOD] courageous [AND] proud [AND] smart [IMPLY] rational [PERIOD] busy [AND] rational [IMPLY] gru...
Proof chain: silly ⇒ muddy silly ⇒ gifted muddy ∧ gifted ⇒ hypocritical silly ∧ versatile ⇒ troubled versatile ∧ troubled ⇒ polite hypocritical ∧ polite ⇒ enchanting
1
6
Facts: Batman is messy [PERIOD] Batman is pessimistic [PERIOD] Batman is silly [PERIOD] Batman is stubborn [PERIOD] Batman is average [PERIOD] Batman is frightened [PERIOD] Batman is powerful [PERIOD] Batman is muddy [PERIOD] Batman is bored [PERIOD] Batman is selfish [PERIOD] Batman is light [PERIOD] Rules: confused ...
Proof chain: light ⇒ sensible powerful ∧ pessimistic ∧ messy ⇒ cruel cruel ⇒ blushing muddy ∧ sensible ∧ blushing ⇒ charming light ∧ selfish ⇒ outstanding charming ∧ outstanding ⇒ old-fashioned
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6
Facts: Rules: elegant [AND] outrageous [AND] fine [IMPLY] helpless [PERIOD] helpless [IMPLY] disgusted [PERIOD] helpless [AND] bossy [IMPLY] elegant [PERIOD] elegant [IMPLY] helpless [PERIOD] innocent [AND] alert [AND] outrageous [IMPLY] combative [PERIOD] bossy [AND] fine [IMPLY] alert [PERIOD] fine [IMPLY] helpless ...
Proof chain: Cannot apply rule “proud ∧ elegant ∧ bossy ⇒ outrageous” because missing: proud, elegant, bossy. Cannot apply rule “disgusted ⇒ outrageous” because missing: disgusted. Cannot apply rule “innocent ∧ helpless ∧ elegant ⇒ outrageous” because missing: innocent, helpless, elegant. Cannot apply rule ...
0
6
Facts: Batman is fine [PERIOD] Rules: cooperative [AND] light [AND] bad-tempered [IMPLY] tidy [PERIOD] thoughtless [IMPLY] straightforward [PERIOD] worrisome [AND] silly [IMPLY] beautiful [PERIOD] vivacious [AND] attentive [IMPLY] ugly [PERIOD] blushing [AND] bad-tempered [AND] easy [IMPLY] tired [PERIOD] messy [IMPLY...
Proof chain: Cannot apply rule “glamorous ⇒ diplomatic” because missing: glamorous. Cannot apply rule “beautiful ⇒ diplomatic” because missing: beautiful. Cannot apply rule “glamorous ∧ bad-tempered ∧ worried ⇒ diplomatic” because missing: glamorous, bad-tempered, worried. Cannot apply rule “tidy ∧ fine ∧ v...
0
6
Facts: Batman is exuberant [PERIOD] Batman is careless [PERIOD] Batman is stupid [PERIOD] Batman is worrisome [PERIOD] Batman is different [PERIOD] Rules: long [AND] lonely [AND] worrisome [IMPLY] tame [PERIOD] clumsy [AND] disobedient [IMPLY] long [PERIOD] lonely [AND] polite [IMPLY] exuberant [PERIOD] alert [IMPLY] ...
Proof chain: stupid ⇒ homely homely ⇒ long long ∧ different ⇒ polite exuberant ⇒ tired tired ⇒ rational polite ∧ rational ⇒ selfish
1
6
Facts: Rules: impartial [AND] different [AND] agreeable [IMPLY] fearless [PERIOD] cute [AND] different [IMPLY] unpleasant [PERIOD] unpleasant [AND] agreeable [AND] fearless [IMPLY] helpful [PERIOD] spotless [AND] joyous [IMPLY] helpful [PERIOD] grumpy [IMPLY] helpful [PERIOD] loving [IMPLY] curious [PERIOD] agreeable ...
Proof chain: Cannot apply rule “ugly ∧ fearless ⇒ frail” because missing: ugly, fearless. Cannot apply rule “different ∧ helpful ∧ agreeable ⇒ frail” because missing: different, helpful, agreeable. Cannot apply rule “fearless ⇒ frail” because missing: fearless. Cannot apply rule “impartial ∧ muddy ∧ agreeab...
0
6
Facts: Batman is attractive [PERIOD] Batman is joyous [PERIOD] Batman is friendly [PERIOD] Batman is selfish [PERIOD] Batman is glamorous [PERIOD] Rules: frantic [AND] joyous [AND] disobedient [IMPLY] hilarious [PERIOD] zealous [AND] attractive [AND] clumsy [IMPLY] mysterious [PERIOD] friendly [IMPLY] zealous [PERIOD]...
Proof chain: Cannot apply rule “disobedient ∧ wide-eyed ⇒ confused” because missing: disobedient, wide-eyed. Cannot apply rule “wide-eyed ∧ ambitious ⇒ confused” because missing: wide-eyed, ambitious. Cannot apply rule “plain ∧ attractive ∧ mysterious ⇒ confused” because missing: plain, mysterious. attracti...
0
6
Facts: Batman is messy [PERIOD] Batman is helpful [PERIOD] Batman is fine [PERIOD] Batman is powerful [PERIOD] Batman is gleaming [PERIOD] Batman is ambitious [PERIOD] Batman is foolish [PERIOD] Rules: loving [IMPLY] wide-eyed [PERIOD] thoughtful [IMPLY] loving [PERIOD] powerful [AND] wrong [IMPLY] thoughtless [PERIOD...
Proof chain: foolish ∧ messy ⇒ good foolish ⇒ wide-eyed gleaming ∧ wide-eyed ⇒ naughty foolish ⇒ wide-eyed wide-eyed ⇒ hilarious good ∧ naughty ∧ hilarious ⇒ dishonest
1
6
Facts: Batman is calm [PERIOD] Batman is mean [PERIOD] Batman is cruel [PERIOD] Batman is agreeable [PERIOD] Batman is confident [PERIOD] Rules: impatient [AND] careless [IMPLY] crowded [PERIOD] busy [IMPLY] hilarious [PERIOD] hilarious [AND] gorgeous [AND] polite [IMPLY] anxious [PERIOD] distinct [AND] anxious [IMPLY...
Proof chain: Cannot apply rule “distinct ∧ anxious ⇒ difficult” because missing: distinct, anxious. confident ⇒ hypocritical hypocritical ⇒ helpful Cannot apply rule “busy ∧ helpful ⇒ difficult” because missing: busy. confident ⇒ hypocritical Cannot apply rule “gifted ∧ worrisome ∧ hypocritical ⇒ diff...
0
6
Facts: Batman is messy [PERIOD] Rules: confident [IMPLY] famous [PERIOD] famous [IMPLY] gleaming [PERIOD] cute [AND] bad-tempered [IMPLY] messy [PERIOD] straightforward [AND] messy [IMPLY] gleaming [PERIOD] modern [AND] gleaming [IMPLY] shiny [PERIOD] messy [IMPLY] homely [PERIOD] homely [AND] famous [IMPLY] bad-tempe...
Proof chain: messy ⇒ homely messy ⇒ famous homely ∧ famous ⇒ bad-tempered messy ⇒ homely homely ⇒ dull bad-tempered ∧ messy ∧ dull ⇒ modern
1
6
Facts: Batman is outrageous [PERIOD] Rules: inquisitive [AND] curious [IMPLY] attractive [PERIOD] curious [IMPLY] frail [PERIOD] outrageous [AND] inquisitive [IMPLY] tame [PERIOD] inquisitive [IMPLY] confident [PERIOD] attractive [AND] confident [AND] excited [IMPLY] tame [PERIOD] inquisitive [AND] outrageous [IMPLY] ...
Proof chain: Cannot apply rule “curious ⇒ frail” because missing: curious. Cannot apply rule “excited ∧ inquisitive ∧ outrageous ⇒ frail” because missing: excited, inquisitive. Cannot apply rule “attractive ∧ inquisitive ∧ curious ⇒ frail” because missing: attractive, inquisitive, curious. Cannot apply rule...
0
6
Facts: Rules: impartial [AND] homely [AND] exuberant [IMPLY] cooperative [PERIOD] rational [AND] exuberant [AND] uptight [IMPLY] talkative [PERIOD] confident [IMPLY] talkative [PERIOD] nervous [AND] fancy [IMPLY] bossy [PERIOD] fancy [AND] exuberant [IMPLY] nervous [PERIOD] disgusted [AND] comfortable [IMPLY] weary [P...
Proof chain: Cannot apply rule “nervous ∧ fancy ⇒ bossy” because missing: nervous, fancy. Cannot apply rule “confident ⇒ bossy” because missing: confident. Cannot apply rule “inquisitive ∧ impartial ∧ talkative ⇒ bossy” because missing: inquisitive, impartial, talkative. Cannot apply rule “exuberant ∧ coope...
0
6
Facts: Batman is elegant [PERIOD] Batman is popular [PERIOD] Rules: polite [AND] victorious [AND] nervous [IMPLY] vivacious [PERIOD] calm [AND] ugliest [IMPLY] stormy [PERIOD] powerful [IMPLY] lucky [PERIOD] polite [AND] victorious [IMPLY] aggressive [PERIOD] witty [AND] polite [IMPLY] shiny [PERIOD] careless [AND] el...
Proof chain: popular ⇒ careless popular ⇒ witty elegant ⇒ spotless careless ∧ witty ∧ spotless ⇒ polite popular ⇒ victorious polite ∧ victorious ⇒ aggressive
1
6
Facts: Batman is impartial [PERIOD] Batman is fine [PERIOD] Rules: sleepy [AND] fine [AND] tidy [IMPLY] crowded [PERIOD] versatile [AND] fine [AND] sleepy [IMPLY] embarrassed [PERIOD] embarrassed [AND] wrong [IMPLY] uptight [PERIOD] fine [AND] crowded [AND] embarrassed [IMPLY] wrong [PERIOD] versatile [AND] impartial ...
Proof chain: fine ⇒ embarrassed fine ∧ impartial ⇒ tidy tidy ⇒ crowded fine ⇒ embarrassed fine ∧ crowded ∧ embarrassed ⇒ wrong embarrassed ∧ wrong ⇒ uptight
1
6
Facts: Batman is smart [PERIOD] Rules: comfortable [AND] smart [IMPLY] jittery [PERIOD] jittery [AND] hypocritical [IMPLY] stupid [PERIOD] smart [IMPLY] jittery [PERIOD] hypocritical [AND] stupid [IMPLY] jittery [PERIOD] jittery [AND] comfortable [AND] hypocritical [IMPLY] stupid [PERIOD] jittery [AND] stupid [AND] hy...
Proof chain: smart ⇒ jittery Cannot apply rule “jittery ∧ hypocritical ⇒ stupid” because missing: hypocritical. smart ⇒ jittery Cannot apply rule “jittery ∧ comfortable ∧ hypocritical ⇒ stupid” because missing: comfortable, hypocritical. Cannot apply rule “comfortable ⇒ stupid” because missing: comfortab...
0
6
Facts: Batman is friendly [PERIOD] Batman is difficult [PERIOD] Rules: difficult [AND] fearless [IMPLY] ambitious [PERIOD] confused [AND] distinct [IMPLY] courageous [PERIOD] ambitious [IMPLY] average [PERIOD] light [AND] friendly [AND] confused [IMPLY] wrong [PERIOD] courageous [AND] fearless [AND] light [IMPLY] aver...
Proof chain: difficult ⇒ confused confused ⇒ light difficult ⇒ confused light ∧ friendly ∧ confused ⇒ wrong friendly ∧ wrong ⇒ average average ⇒ fearless
1
6
Facts: Batman is mean [PERIOD] Batman is inexpensive [PERIOD] Batman is gifted [PERIOD] Batman is horrible [PERIOD] Batman is shiny [PERIOD] Rules: horrible [IMPLY] plain [PERIOD] plain [AND] gifted [AND] diplomatic [IMPLY] precious [PERIOD] precious [IMPLY] gifted [PERIOD] plain [AND] diplomatic [AND] mean [IMPLY] in...
Proof chain: horrible ⇒ plain horrible ⇒ plain plain ⇒ diplomatic plain ∧ gifted ∧ diplomatic ⇒ precious horrible ⇒ plain horrible ∧ precious ∧ plain ⇒ fragile
1
6
Facts: Batman is loving [PERIOD] Batman is hurt [PERIOD] Batman is messy [PERIOD] Rules: homely [AND] careless [AND] excited [IMPLY] sleepy [PERIOD] tender [AND] careless [AND] ugly [IMPLY] foolish [PERIOD] shy [IMPLY] long [PERIOD] foolish [AND] loving [IMPLY] weary [PERIOD] sincere [AND] hurt [IMPLY] fragile [PERIOD...
Proof chain: messy ⇒ fragile fragile ∧ loving ⇒ old-fashioned messy ⇒ fragile fragile ∧ loving ⇒ old-fashioned old-fashioned ⇒ ugly old-fashioned ∧ ugly ⇒ homely
1
6
Facts: Batman is inquisitive [PERIOD] Batman is ugly [PERIOD] Rules: precious [IMPLY] clean [PERIOD] bored [IMPLY] clumsy [PERIOD] loving [AND] proud [AND] bored [IMPLY] weary [PERIOD] clean [AND] weary [AND] precious [IMPLY] bossy [PERIOD] precious [AND] ugly [IMPLY] confused [PERIOD] famous [AND] plain [AND] gifted ...
Proof chain: inquisitive ⇒ plain plain ⇒ famous inquisitive ⇒ plain inquisitive ⇒ plain plain ⇒ gifted famous ∧ plain ∧ gifted ⇒ cute
1
6
Facts: Batman is foolish [PERIOD] Batman is beautiful [PERIOD] Batman is cruel [PERIOD] Batman is pessimistic [PERIOD] Batman is wrong [PERIOD] Batman is shy [PERIOD] Rules: pessimistic [AND] adorable [IMPLY] mysterious [PERIOD] shy [AND] adorable [AND] foolish [IMPLY] wandering [PERIOD] wandering [IMPLY] precious [PE...
Proof chain: beautiful ∧ wrong ⇒ hilarious hilarious ⇒ innocent Cannot apply rule “diplomatic ∧ innocent ⇒ naughty” because missing: diplomatic. beautiful ∧ wrong ⇒ hilarious hilarious ⇒ innocent Cannot apply rule “tired ∧ average ∧ innocent ⇒ naughty” because missing: tired, average.
0
6
Facts: Batman is combative [PERIOD] Batman is vivacious [PERIOD] Batman is cruel [PERIOD] Batman is confident [PERIOD] Batman is versatile [PERIOD] Rules: adorable [AND] cruel [IMPLY] perfect [PERIOD] curious [AND] confident [IMPLY] versatile [PERIOD] bad-tempered [AND] hilarious [AND] helpful [IMPLY] broad-minded [PE...
Proof chain: vivacious ⇒ hilarious hilarious ∧ vivacious ⇒ adorable vivacious ⇒ hilarious hilarious ∧ vivacious ⇒ adorable adorable ∧ cruel ⇒ perfect adorable ∧ cruel ∧ perfect ⇒ helpful
1
6
Facts: Rules: witty [AND] polite [AND] average [IMPLY] bossy [PERIOD] average [IMPLY] bossy [PERIOD] average [IMPLY] witty [PERIOD] witty [AND] polite [AND] average [IMPLY] homely [PERIOD] average [AND] witty [AND] homely [IMPLY] bossy [PERIOD] polite [IMPLY] bossy [PERIOD] average [AND] gifted [AND] witty [IMPLY] bos...
Proof chain: Cannot apply rule “witty ∧ polite ∧ average ⇒ bossy” because missing: witty, polite, average. Cannot apply rule “average ⇒ bossy” because missing: average. Cannot apply rule “average ∧ witty ∧ homely ⇒ bossy” because missing: average, witty, homely. Cannot apply rule “polite ⇒ bossy” because mi...
0
6
Facts: Rules: inquisitive [AND] good [AND] fearless [IMPLY] embarrassed [PERIOD] comfortable [IMPLY] fearless [PERIOD] inquisitive [AND] comfortable [IMPLY] embarrassed [PERIOD] bossy [AND] good [AND] embarrassed [IMPLY] comfortable [PERIOD] bossy [AND] comfortable [IMPLY] inquisitive [PERIOD] embarrassed [AND] fearle...
Proof chain: Cannot apply rule “inquisitive ∧ good ∧ fearless ⇒ embarrassed” because missing: inquisitive, good, fearless. Cannot apply rule “inquisitive ∧ comfortable ⇒ embarrassed” because missing: inquisitive, comfortable. Cannot apply rule “good ∧ comfortable ∧ fearless ⇒ embarrassed” because missing: good...
0
6
Facts: Batman is friendly [PERIOD] Batman is frail [PERIOD] Batman is grumpy [PERIOD] Rules: joyous [AND] hurt [AND] frightened [IMPLY] difficult [PERIOD] broad-minded [AND] condemned [IMPLY] witty [PERIOD] condemned [AND] fine [IMPLY] frightened [PERIOD] disgusted [IMPLY] loving [PERIOD] joyous [AND] broad-minded [AN...
Proof chain: frail ⇒ amused amused ⇒ witty friendly ⇒ sincere grumpy ∧ witty ∧ sincere ⇒ condemned frail ⇒ amused condemned ∧ amused ⇒ difficult
1
6
Facts: Batman is blushing [PERIOD] Batman is disobedient [PERIOD] Rules: powerful [IMPLY] shy [PERIOD] fancy [AND] disgusted [AND] shy [IMPLY] lucky [PERIOD] fancy [AND] helpless [AND] spotless [IMPLY] ugly [PERIOD] friendly [AND] clean [AND] shy [IMPLY] disobedient [PERIOD] disobedient [AND] ugly [IMPLY] shiny [PERIO...
Proof chain: disobedient ⇒ powerful disobedient ⇒ powerful powerful ⇒ shy shy ⇒ bad-tempered powerful ∧ bad-tempered ∧ disobedient ⇒ nervous nervous ⇒ clean
1
6
Facts: Rules: alert [AND] joyous [IMPLY] bossy [PERIOD] proud [AND] stormy [AND] broad-minded [IMPLY] innocent [PERIOD] busy [IMPLY] mysterious [PERIOD] bossy [AND] alert [IMPLY] rude [PERIOD] fearless [AND] frail [AND] shy [IMPLY] talkative [PERIOD] mysterious [AND] talented [IMPLY] smart [PERIOD] alert [AND] joyous ...
Proof chain: Cannot apply rule “busy ⇒ mysterious” because missing: busy. Cannot apply rule “talkative ∧ fearless ⇒ mysterious” because missing: talkative, fearless. Cannot apply rule “muddy ∧ talkative ∧ smart ⇒ mysterious” because missing: muddy, talkative, smart. Cannot apply rule “rude ∧ fearless ∧ prou...
0
6
Facts: Batman is combative [PERIOD] Rules: gifted [IMPLY] weary [PERIOD] ugliest [IMPLY] messy [PERIOD] pessimistic [AND] worried [IMPLY] dull [PERIOD] disobedient [AND] dull [AND] fearless [IMPLY] bright [PERIOD] gifted [AND] wide-eyed [AND] bright [IMPLY] gleaming [PERIOD] messy [AND] ugliest [IMPLY] gifted [PERIOD]...
Proof chain: Cannot apply rule “messy ⇒ wide-eyed” because missing: messy. Cannot apply rule “pleasant ∧ zealous ∧ combative ⇒ wide-eyed” because missing: pleasant, zealous. Cannot apply rule “pessimistic ⇒ wide-eyed” because missing: pessimistic. Cannot apply rule “silly ∧ dull ⇒ wide-eyed” because missing...
0
6
Facts: Batman is enchanting [PERIOD] Batman is troubled [PERIOD] Batman is popular [PERIOD] Rules: bright [AND] gifted [IMPLY] reserved [PERIOD] sensible [AND] reserved [AND] bored [IMPLY] enchanting [PERIOD] wandering [AND] enchanting [AND] troubled [IMPLY] bright [PERIOD] blushing [AND] frantic [IMPLY] calm [PERIOD]...
Proof chain: troubled ⇒ bossy enchanting ⇒ bored bossy ∧ bored ⇒ reserved popular ⇒ gifted gifted ⇒ difficult reserved ∧ difficult ⇒ proud
1
6
Facts: Batman is uptight [PERIOD] Rules: aggressive [IMPLY] broad-minded [PERIOD] aggressive [AND] beautiful [AND] quaint [IMPLY] uptight [PERIOD] different [AND] uptight [IMPLY] beautiful [PERIOD] broad-minded [IMPLY] beautiful [PERIOD] different [IMPLY] aggressive [PERIOD] quaint [AND] aggressive [AND] broad-minded ...
Proof chain: Cannot apply rule “aggressive ⇒ broad-minded” because missing: aggressive. Cannot apply rule “beautiful ⇒ broad-minded” because missing: beautiful. Cannot apply rule “quaint ∧ beautiful ⇒ broad-minded” because missing: quaint, beautiful. Cannot apply rule “aggressive ∧ beautiful ⇒ broad-minded”...
0
6
Facts: Batman is broad-minded [PERIOD] Batman is bossy [PERIOD] Batman is worried [PERIOD] Batman is combative [PERIOD] Batman is frantic [PERIOD] Batman is excited [PERIOD] Batman is intellectual [PERIOD] Batman is tense [PERIOD] Batman is disgusted [PERIOD] Rules: frantic [AND] attractive [IMPLY] broad-minded [PERIO...
Proof chain: broad-minded ∧ disgusted ∧ tense ⇒ difficult difficult ⇒ messy worried ⇒ agreeable excited ⇒ crowded agreeable ∧ crowded ⇒ distinct messy ∧ distinct ⇒ thoughtful
1
6
Facts: Batman is aggressive [PERIOD] Rules: fine [AND] precious [IMPLY] fearless [PERIOD] sleepy [AND] beautiful [AND] cruel [IMPLY] enchanting [PERIOD] smart [AND] elegant [IMPLY] aggressive [PERIOD] aggressive [AND] fearless [IMPLY] careless [PERIOD] hypocritical [AND] shiny [IMPLY] vivacious [PERIOD] enchanting [IM...
Proof chain: Cannot apply rule “muddy ∧ sleepy ∧ fearless ⇒ smart” because missing: muddy, sleepy, fearless. aggressive ⇒ vivacious Cannot apply rule “vivacious ∧ fine ∧ shiny ⇒ smart” because missing: fine, shiny. Cannot apply rule “scared ∧ fine ∧ broad-minded ⇒ smart” because missing: scared, fine, broad...
0
6
Facts: Batman is uptight [PERIOD] Batman is bored [PERIOD] Rules: hurt [AND] clumsy [AND] weary [IMPLY] horrible [PERIOD] bored [IMPLY] uptight [PERIOD] hurt [AND] fearless [IMPLY] horrible [PERIOD] lonely [AND] weary [IMPLY] clumsy [PERIOD] joyous [AND] bored [AND] foolish [IMPLY] fearless [PERIOD] weary [IMPLY] inno...
Proof chain: Cannot apply rule “hurt ∧ clumsy ∧ weary ⇒ horrible” because missing: hurt, clumsy, weary. Cannot apply rule “hurt ∧ fearless ⇒ horrible” because missing: hurt, fearless. Cannot apply rule “innocent ∧ selfish ∧ weary ⇒ horrible” because missing: innocent, selfish, weary. Cannot apply rule “upti...
0
6
Facts: Batman is joyous [PERIOD] Batman is hypocritical [PERIOD] Batman is rude [PERIOD] Batman is smart [PERIOD] Batman is grumpy [PERIOD] Batman is friendly [PERIOD] Batman is troubled [PERIOD] Batman is homely [PERIOD] Rules: supportive [AND] pleasant [AND] hypocritical [IMPLY] proud [PERIOD] proud [AND] cooperativ...
Proof chain: homely ⇒ blushing blushing ⇒ proud homely ⇒ blushing blushing ⇒ proud proud ∧ homely ⇒ cooperative proud ∧ cooperative ⇒ cute
1
6
Facts: Batman is tired [PERIOD] Rules: helpless [IMPLY] confident [PERIOD] homely [IMPLY] grumpy [PERIOD] light [AND] muddy [IMPLY] powerful [PERIOD] horrible [AND] enchanting [AND] precious [IMPLY] cooperative [PERIOD] grumpy [AND] helpless [IMPLY] blushing [PERIOD] troubled [IMPLY] cooperative [PERIOD] blushing [AND...
Proof chain: tired ⇒ enchanting tired ⇒ enchanting enchanting ⇒ helpless helpless ⇒ confident enchanting ∧ confident ⇒ sensible sensible ⇒ loving
1
6
Facts: Batman is ugliest [PERIOD] Batman is smart [PERIOD] Batman is shy [PERIOD] Batman is precious [PERIOD] Rules: horrible [IMPLY] bored [PERIOD] pessimistic [AND] precious [IMPLY] ugly [PERIOD] talented [AND] blushing [IMPLY] horrible [PERIOD] shy [AND] blushing [AND] bored [IMPLY] ugly [PERIOD] ugliest [AND] blus...
Proof chain: smart ⇒ horrible ugliest ∧ horrible ⇒ weary smart ⇒ horrible horrible ⇒ bored bored ⇒ unpleasant weary ∧ unpleasant ⇒ blushing
1
6
Facts: Batman is wide-eyed [PERIOD] Batman is strange [PERIOD] Batman is bored [PERIOD] Batman is thoughtful [PERIOD] Rules: quaint [IMPLY] blushing [PERIOD] wide-eyed [AND] fragile [AND] combative [IMPLY] modern [PERIOD] old-fashioned [AND] messy [IMPLY] bossy [PERIOD] clumsy [AND] unpleasant [IMPLY] frantic [PERIOD]...
Proof chain: Cannot apply rule “strange ∧ blushing ∧ dishonest ⇒ unpleasant” because missing: blushing, dishonest. Cannot apply rule “blushing ∧ quaint ⇒ unpleasant” because missing: blushing, quaint. wide-eyed ⇒ naughty naughty ⇒ foolish foolish ⇒ worried Cannot apply rule “uptight ∧ thoughtful ∧ wor...
0
6
Facts: Batman is wrong [PERIOD] Batman is ugly [PERIOD] Rules: exuberant [AND] average [IMPLY] ugly [PERIOD] average [IMPLY] ugly [PERIOD] average [IMPLY] joyous [PERIOD] exuberant [AND] joyous [IMPLY] naughty [PERIOD] joyous [IMPLY] clean [PERIOD] naughty [AND] clean [AND] sleepy [IMPLY] wrong [PERIOD] clean [AND] na...
Proof chain: wrong ⇒ exuberant wrong ⇒ exuberant ugly ∧ wrong ∧ exuberant ⇒ clean ugly ∧ clean ⇒ average average ⇒ joyous exuberant ∧ joyous ⇒ naughty
1
6
Facts: Batman is tame [PERIOD] Batman is wandering [PERIOD] Rules: old-fashioned [AND] beautiful [IMPLY] tame [PERIOD] supportive [AND] combative [AND] hurt [IMPLY] naughty [PERIOD] fearless [AND] victorious [AND] tired [IMPLY] tame [PERIOD] busy [AND] tired [AND] combative [IMPLY] tame [PERIOD] tame [AND] supportive ...
Proof chain: tame ⇒ beautiful tame ⇒ beautiful beautiful ⇒ broad-minded broad-minded ⇒ fearless fearless ⇒ pleasant beautiful ∧ pleasant ⇒ busy
1
6
Facts: Batman is nervous [PERIOD] Batman is fragile [PERIOD] Rules: alert [IMPLY] thoughtful [PERIOD] rude [IMPLY] cooperative [PERIOD] shiny [IMPLY] grumpy [PERIOD] nervous [IMPLY] worried [PERIOD] thoughtful [AND] ugliest [AND] fearless [IMPLY] grumpy [PERIOD] gifted [AND] grumpy [IMPLY] ugliest [PERIOD] stormy [AND...
Proof chain: Cannot apply rule “grumpy ∧ embarrassed ∧ alert ⇒ rude” because missing: grumpy, embarrassed, alert. fragile ⇒ outrageous Cannot apply rule “outrageous ∧ fragile ∧ shiny ⇒ rude” because missing: shiny. Cannot apply rule “confused ∧ alert ∧ grumpy ⇒ rude” because missing: confused, alert, grumpy...
0
6
Facts: Batman is easy [PERIOD] Batman is old-fashioned [PERIOD] Batman is hilarious [PERIOD] Batman is talented [PERIOD] Batman is glamorous [PERIOD] Batman is smart [PERIOD] Rules: embarrassed [IMPLY] vivacious [PERIOD] worried [AND] exuberant [AND] smart [IMPLY] hypocritical [PERIOD] strange [IMPLY] nervous [PERIOD]...
Proof chain: easy ⇒ embarrassed talented ⇒ cruel embarrassed ∧ cruel ⇒ exuberant talented ⇒ cruel hilarious ∧ cruel ⇒ long exuberant ∧ long ⇒ different
1
6
Facts: Batman is thoughtless [PERIOD] Rules: difficult [IMPLY] frightened [PERIOD] muddy [AND] adorable [IMPLY] amused [PERIOD] messy [AND] joyous [IMPLY] tense [PERIOD] tense [AND] joyous [AND] amused [IMPLY] mean [PERIOD] crowded [AND] mean [AND] difficult [IMPLY] muddy [PERIOD] lucky [AND] impatient [IMPLY] amused ...
Proof chain: Cannot apply rule “muddy ∧ adorable ⇒ amused” because missing: muddy, adorable. Cannot apply rule “lucky ∧ impatient ⇒ amused” because missing: lucky, impatient. Cannot apply rule “tender ⇒ amused” because missing: tender. Cannot apply rule “joyous ∧ ugliest ∧ frightened ⇒ amused” because missi...
0
6
Facts: Batman is quaint [PERIOD] Batman is outrageous [PERIOD] Batman is thoughtless [PERIOD] Batman is troubled [PERIOD] Batman is fragile [PERIOD] Batman is rational [PERIOD] Batman is strange [PERIOD] Batman is adorable [PERIOD] Rules: adorable [AND] joyous [AND] tame [IMPLY] outrageous [PERIOD] loving [AND] adorab...
Proof chain: fragile ∧ strange ⇒ sensible fragile ∧ sensible ⇒ loving loving ∧ adorable ⇒ disobedient disobedient ⇒ joyous joyous ⇒ fine fine ⇒ tame
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Facts: Rules: helpful [AND] condemned [AND] smart [IMPLY] rude [PERIOD] good [IMPLY] rude [PERIOD] condemned [AND] smart [IMPLY] perfect [PERIOD] condemned [AND] perfect [IMPLY] good [PERIOD] outstanding [AND] sensible [AND] thoughtful [IMPLY] condemned [PERIOD] outstanding [AND] good [AND] helpful [IMPLY] condemned [...
Proof chain: Cannot apply rule “outstanding ∧ sensible ∧ thoughtful ⇒ condemned” because missing: outstanding, sensible, thoughtful. Cannot apply rule “outstanding ∧ good ∧ helpful ⇒ condemned” because missing: outstanding, good, helpful. Cannot apply rule “outstanding ∧ thoughtful ⇒ condemned” because missing...
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Facts: Batman is distinct [PERIOD] Batman is stubborn [PERIOD] Batman is tense [PERIOD] Batman is inquisitive [PERIOD] Rules: distinct [IMPLY] inquisitive [PERIOD] tense [IMPLY] mysterious [PERIOD] rational [IMPLY] rude [PERIOD] outrageous [AND] rude [AND] sincere [IMPLY] tense [PERIOD] strange [AND] inquisitive [IMPL...
Proof chain: tense ⇒ mysterious mysterious ⇒ fancy tense ⇒ mysterious mysterious ∧ stubborn ⇒ shy fancy ∧ shy ⇒ rude Cannot apply rule “gorgeous ∧ rude ⇒ muddy” because missing: gorgeous.
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Facts: Batman is diplomatic [PERIOD] Batman is hurt [PERIOD] Batman is broad-minded [PERIOD] Batman is weary [PERIOD] Rules: bossy [IMPLY] worrisome [PERIOD] weary [AND] stormy [AND] bright [IMPLY] light [PERIOD] straightforward [AND] light [IMPLY] rude [PERIOD] frail [AND] good [IMPLY] victorious [PERIOD] frail [AND]...
Proof chain: Cannot apply rule “messy ⇒ versatile” because missing: messy. Cannot apply rule “light ∧ good ∧ stormy ⇒ versatile” because missing: light, good, stormy. Cannot apply rule “frail ∧ frantic ⇒ versatile” because missing: frail, frantic. Cannot apply rule “frail ∧ hurt ∧ worrisome ⇒ versatile” bec...
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Facts: Batman is glamorous [PERIOD] Batman is innocent [PERIOD] Batman is victorious [PERIOD] Batman is grumpy [PERIOD] Batman is inquisitive [PERIOD] Rules: glamorous [AND] worried [AND] hurt [IMPLY] outstanding [PERIOD] worried [IMPLY] grumpy [PERIOD] grumpy [IMPLY] glamorous [PERIOD] frightened [IMPLY] polite [PERI...
Proof chain: glamorous ⇒ frail glamorous ⇒ disgusted grumpy ∧ frail ∧ disgusted ⇒ elegant glamorous ⇒ disgusted disgusted ⇒ worried elegant ∧ worried ⇒ disobedient
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Facts: Rules: dishonest [AND] confused [IMPLY] worried [PERIOD] lucky [AND] dishonest [AND] confused [IMPLY] beautiful [PERIOD] worried [AND] disobedient [AND] dishonest [IMPLY] confused [PERIOD] lucky [AND] dishonest [AND] disobedient [IMPLY] beautiful [PERIOD] beautiful [IMPLY] confused [PERIOD] disobedient [AND] be...
Proof chain: Cannot apply rule “worried ∧ disobedient ∧ dishonest ⇒ confused” because missing: worried, disobedient, dishonest. Cannot apply rule “beautiful ⇒ confused” because missing: beautiful. Cannot apply rule “disobedient ∧ beautiful ⇒ confused” because missing: disobedient, beautiful. Cannot apply ru...
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Facts: Batman is silly [PERIOD] Batman is diplomatic [PERIOD] Batman is busy [PERIOD] Batman is troubled [PERIOD] Batman is gorgeous [PERIOD] Batman is hypocritical [PERIOD] Batman is talkative [PERIOD] Rules: talkative [AND] pleasant [IMPLY] difficult [PERIOD] pleasant [AND] proud [AND] beautiful [IMPLY] rude [PERIOD...
Proof chain: diplomatic ⇒ beautiful troubled ⇒ sensible sensible ∧ busy ⇒ glamorous diplomatic ∧ busy ∧ glamorous ⇒ condemned condemned ⇒ thoughtful gorgeous ∧ beautiful ∧ thoughtful ⇒ pleasant
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Facts: Rules: silly [AND] agreeable [AND] foolish [IMPLY] hurt [PERIOD] curious [AND] foolish [AND] zealous [IMPLY] broad-minded [PERIOD] careless [AND] silly [AND] curious [IMPLY] zealous [PERIOD] zealous [AND] silly [AND] foolish [IMPLY] hurt [PERIOD] diplomatic [IMPLY] curious [PERIOD] foolish [AND] diplomatic [IMP...
Proof chain: Cannot apply rule “silly ∧ agreeable ∧ foolish ⇒ hurt” because missing: silly, agreeable, foolish. Cannot apply rule “zealous ∧ silly ∧ foolish ⇒ hurt” because missing: zealous, silly, foolish. Cannot apply rule “curious ⇒ hurt” because missing: curious. Cannot apply rule “sincere ∧ broad-minde...
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Facts: Batman is enchanting [PERIOD] Batman is combative [PERIOD] Rules: exuberant [AND] combative [IMPLY] dishonest [PERIOD] embarrassed [AND] selfish [IMPLY] friendly [PERIOD] embarrassed [AND] dishonest [AND] friendly [IMPLY] helpless [PERIOD] enchanting [AND] zealous [AND] dishonest [IMPLY] diplomatic [PERIOD] con...
Proof chain: combative ⇒ helpless helpless ⇒ friendly friendly ∧ combative ⇒ selfish combative ⇒ helpless helpless ⇒ friendly combative ∧ selfish ∧ friendly ⇒ dishonest
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Facts: Rules: busy [AND] broad-minded [AND] bored [IMPLY] muddy [PERIOD] muddy [IMPLY] horrible [PERIOD] busy [AND] calm [IMPLY] tame [PERIOD] horrible [AND] busy [IMPLY] foolish [PERIOD] tame [IMPLY] smart [PERIOD] busy [AND] smart [IMPLY] calm [PERIOD] smart [AND] calm [AND] foolish [IMPLY] muddy [PERIOD] broad-mind...
Proof chain: Cannot apply rule “horrible ∧ busy ⇒ foolish” because missing: horrible, busy. Cannot apply rule “bored ∧ tame ⇒ foolish” because missing: bored, tame. Cannot apply rule “broad-minded ∧ tame ⇒ foolish” because missing: broad-minded, tame. Cannot apply rule “muddy ∧ broad-minded ∧ fancy ⇒ foolis...
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Facts: Rules: vivacious [IMPLY] stupid [PERIOD] adorable [AND] worrisome [AND] attentive [IMPLY] hilarious [PERIOD] strange [AND] adorable [IMPLY] pessimistic [PERIOD] blushing [AND] pessimistic [AND] tender [IMPLY] agreeable [PERIOD] blushing [IMPLY] agreeable [PERIOD] different [AND] stupid [IMPLY] homely [PERIOD] w...
Proof chain: Cannot apply rule “pessimistic ⇒ different” because missing: pessimistic. Cannot apply rule “attentive ∧ straightforward ∧ bored ⇒ different” because missing: attentive, straightforward, bored. Cannot apply rule “strange ∧ attractive ∧ lonely ⇒ different” because missing: strange, attractive, lone...
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Facts: Batman is crowded [PERIOD] Batman is fearless [PERIOD] Rules: horrible [AND] hilarious [IMPLY] plain [PERIOD] sensible [AND] muddy [AND] crowded [IMPLY] gorgeous [PERIOD] crowded [IMPLY] hilarious [PERIOD] thoughtful [AND] difficult [IMPLY] confused [PERIOD] crowded [AND] rude [IMPLY] troubled [PERIOD] muddy [A...
Proof chain: crowded ⇒ rude crowded ⇒ hilarious hilarious ⇒ amused amused ⇒ ugliest ugliest ⇒ plain crowded ∧ rude ∧ plain ⇒ difficult
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Facts: Batman is mean [PERIOD] Batman is crowded [PERIOD] Rules: cooperative [AND] bright [AND] amused [IMPLY] hypocritical [PERIOD] helpless [AND] clean [AND] witty [IMPLY] amused [PERIOD] mean [IMPLY] intellectual [PERIOD] hypocritical [IMPLY] witty [PERIOD] crowded [IMPLY] cooperative [PERIOD] bright [IMPLY] intell...
Proof chain: crowded ⇒ cooperative crowded ⇒ muddy muddy ∧ mean ∧ crowded ⇒ bright mean ⇒ intellectual intellectual ⇒ amused cooperative ∧ bright ∧ amused ⇒ hypocritical
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Facts: Batman is rational [PERIOD] Rules: gleaming [IMPLY] rational [PERIOD] worrisome [AND] clumsy [AND] thoughtful [IMPLY] straightforward [PERIOD] witty [AND] rational [IMPLY] easy [PERIOD] gleaming [AND] worrisome [AND] tidy [IMPLY] straightforward [PERIOD] tidy [AND] thoughtful [IMPLY] worrisome [PERIOD] thoughtl...
Proof chain: rational ⇒ witty witty ⇒ straightforward rational ⇒ witty witty ∧ rational ⇒ easy rational ⇒ witty straightforward ∧ easy ∧ witty ⇒ clumsy
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Facts: Batman is frail [PERIOD] Batman is adorable [PERIOD] Batman is old-fashioned [PERIOD] Rules: good [IMPLY] condemned [PERIOD] polite [AND] versatile [IMPLY] confused [PERIOD] charming [AND] fine [AND] condemned [IMPLY] stubborn [PERIOD] grumpy [IMPLY] fine [PERIOD] witty [IMPLY] old-fashioned [PERIOD] combative ...
Proof chain: frail ⇒ worried worried ⇒ combative frail ⇒ worried worried ⇒ combative combative ⇒ condemned combative ∧ condemned ⇒ charming
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Facts: Batman is careless [PERIOD] Batman is gleaming [PERIOD] Rules: curious [AND] crowded [IMPLY] wrong [PERIOD] clean [AND] careless [IMPLY] distinct [PERIOD] homely [AND] inexpensive [AND] gleaming [IMPLY] curious [PERIOD] inexpensive [IMPLY] crowded [PERIOD] homely [AND] crowded [AND] distinct [IMPLY] wrong [PERI...
Proof chain: careless ⇒ homely homely ∧ gleaming ⇒ inexpensive careless ⇒ homely homely ∧ gleaming ⇒ inexpensive inexpensive ⇒ crowded inexpensive ∧ crowded ⇒ foolish
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Facts: Batman is supportive [PERIOD] Batman is embarrassed [PERIOD] Batman is reserved [PERIOD] Batman is loving [PERIOD] Batman is clumsy [PERIOD] Batman is tame [PERIOD] Batman is bright [PERIOD] Rules: fine [AND] loving [IMPLY] easy [PERIOD] diplomatic [AND] curious [IMPLY] bright [PERIOD] straightforward [AND] sil...
Proof chain: bright ⇒ fine bright ⇒ fine fine ⇒ spotless spotless ⇒ lonely fine ∧ lonely ⇒ curious Cannot apply rule “curious ∧ bossy ⇒ disobedient” because missing: bossy.
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Facts: Batman is easy [PERIOD] Batman is witty [PERIOD] Rules: witty [AND] outstanding [AND] ugly [IMPLY] talkative [PERIOD] joyous [AND] supportive [IMPLY] confused [PERIOD] ugly [IMPLY] confused [PERIOD] outstanding [AND] different [IMPLY] talkative [PERIOD] easy [IMPLY] confused [PERIOD] outstanding [IMPLY] adorabl...
Proof chain: easy ⇒ confused easy ⇒ adorable easy ∧ confused ∧ adorable ⇒ outstanding easy ⇒ adorable adorable ∧ witty ⇒ different outstanding ∧ different ⇒ talkative
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Facts: Batman is exuberant [PERIOD] Rules: inexpensive [AND] powerful [IMPLY] bored [PERIOD] modern [AND] innocent [AND] powerful [IMPLY] exuberant [PERIOD] loving [AND] frantic [IMPLY] bored [PERIOD] mean [AND] long [AND] frantic [IMPLY] inexpensive [PERIOD] long [IMPLY] mean [PERIOD] exuberant [AND] innocent [AND] m...
Proof chain: Cannot apply rule “bored ⇒ long” because missing: bored. Cannot apply rule “inexpensive ⇒ long” because missing: inexpensive. Cannot apply rule “frantic ∧ powerful ⇒ long” because missing: frantic, powerful. Cannot apply rule “innocent ∧ bored ∧ loving ⇒ long” because missing: innocent, bored, ...
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Facts: Batman is easy [PERIOD] Batman is long [PERIOD] Batman is hurt [PERIOD] Rules: different [AND] aggressive [IMPLY] horrible [PERIOD] easy [IMPLY] naughty [PERIOD] silly [AND] popular [AND] naughty [IMPLY] frightened [PERIOD] troubled [IMPLY] long [PERIOD] dull [AND] pessimistic [IMPLY] scared [PERIOD] alert [IMP...
Proof chain: long ⇒ embarrassed long ⇒ bored bored ⇒ combative long ⇒ bored combative ∧ bored ∧ long ⇒ uptight embarrassed ∧ uptight ⇒ unpleasant
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Facts: Rules: blushing [AND] broad-minded [AND] hilarious [IMPLY] curious [PERIOD] anxious [IMPLY] broad-minded [PERIOD] anxious [AND] hilarious [AND] curious [IMPLY] silly [PERIOD] broad-minded [AND] hilarious [AND] witty [IMPLY] silly [PERIOD] witty [AND] silly [AND] broad-minded [IMPLY] blushing [PERIOD] silly [AND...
Proof chain: Cannot apply rule “anxious ∧ hilarious ∧ curious ⇒ silly” because missing: anxious, hilarious, curious. Cannot apply rule “broad-minded ∧ hilarious ∧ witty ⇒ silly” because missing: broad-minded, hilarious, witty. Cannot apply rule “hilarious ⇒ silly” because missing: hilarious. Cannot apply ru...
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Facts: Rules: charming [AND] worried [IMPLY] hilarious [PERIOD] tender [AND] charming [IMPLY] different [PERIOD] tender [AND] grumpy [AND] hilarious [IMPLY] wrong [PERIOD] homely [AND] charming [IMPLY] foolish [PERIOD] hilarious [IMPLY] tender [PERIOD] disobedient [AND] worried [AND] wrong [IMPLY] homely [PERIOD] char...
Proof chain: Cannot apply rule “wrong ⇒ worried” because missing: wrong. Cannot apply rule “grumpy ∧ hilarious ⇒ worried” because missing: grumpy, hilarious. Cannot apply rule “grumpy ∧ hilarious ∧ condemned ⇒ worried” because missing: grumpy, hilarious, condemned. Cannot apply rule “grumpy ∧ foolish ⇒ worr...
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Facts: Batman is grumpy [PERIOD] Rules: attractive [IMPLY] powerful [PERIOD] clumsy [IMPLY] lucky [PERIOD] reserved [IMPLY] modern [PERIOD] sincere [IMPLY] rational [PERIOD] old-fashioned [AND] grumpy [AND] helpless [IMPLY] fancy [PERIOD] clumsy [IMPLY] frightened [PERIOD] powerful [AND] sincere [AND] comfortable [IMP...
Proof chain: Cannot apply rule “powerful ∧ sincere ∧ comfortable ⇒ cruel” because missing: powerful, sincere, comfortable. Cannot apply rule “helpless ⇒ cruel” because missing: helpless. Cannot apply rule “grumpy ∧ adorable ⇒ cruel” because missing: adorable. Cannot apply rule “comfortable ⇒ cruel” because ...
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Facts: Batman is frail [PERIOD] Batman is cute [PERIOD] Batman is victorious [PERIOD] Batman is cooperative [PERIOD] Batman is clumsy [PERIOD] Rules: innocent [AND] thoughtful [AND] crowded [IMPLY] cute [PERIOD] mysterious [AND] frail [IMPLY] cooperative [PERIOD] clumsy [AND] troubled [AND] frail [IMPLY] cooperative [...
Proof chain: clumsy ⇒ troubled troubled ∧ frail ⇒ straightforward cooperative ∧ straightforward ∧ cute ⇒ crowded crowded ⇒ elegant elegant ⇒ comfortable comfortable ∧ cute ⇒ lonely
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Facts: Rules: curious [IMPLY] elated [PERIOD] cute [AND] fancy [IMPLY] good [PERIOD] worrisome [AND] curious [AND] zealous [IMPLY] cute [PERIOD] fancy [AND] elated [IMPLY] anxious [PERIOD] elated [AND] zealous [AND] good [IMPLY] curious [PERIOD] anxious [IMPLY] good [PERIOD] curious [AND] anxious [IMPLY] zealous [PERI...
Proof chain: Cannot apply rule “curious ∧ stupid ∧ cute ⇒ fancy” because missing: curious, stupid, cute. Cannot apply rule “stupid ∧ elated ⇒ fancy” because missing: stupid, elated. Cannot apply rule “zealous ∧ curious ⇒ fancy” because missing: zealous, curious. Cannot apply rule “adorable ∧ zealous ∧ elate...
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Facts: Batman is lonely [PERIOD] Batman is quaint [PERIOD] Batman is troubled [PERIOD] Batman is outrageous [PERIOD] Batman is plain [PERIOD] Batman is reserved [PERIOD] Batman is ugliest [PERIOD] Batman is frightened [PERIOD] Rules: gorgeous [AND] reserved [AND] mysterious [IMPLY] messy [PERIOD] quaint [IMPLY] attrac...
Proof chain: quaint ⇒ elegant quaint ⇒ attractive outrageous ⇒ exuberant troubled ⇒ beautiful attractive ∧ exuberant ∧ beautiful ⇒ precious elegant ∧ precious ⇒ mysterious
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Facts: Batman is helpless [PERIOD] Batman is diplomatic [PERIOD] Batman is silly [PERIOD] Rules: silly [AND] spotless [AND] pessimistic [IMPLY] gleaming [PERIOD] hurt [AND] silly [AND] diplomatic [IMPLY] witty [PERIOD] diplomatic [AND] loving [AND] nervous [IMPLY] wide-eyed [PERIOD] gorgeous [AND] excited [AND] attrac...
Proof chain: helpless ⇒ vivacious vivacious ⇒ pessimistic pessimistic ⇒ gleaming helpless ⇒ vivacious vivacious ⇒ pessimistic gleaming ∧ pessimistic ⇒ polite
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Facts: Batman is outrageous [PERIOD] Batman is quaint [PERIOD] Batman is impatient [PERIOD] Batman is fragile [PERIOD] Batman is frail [PERIOD] Rules: confident [AND] victorious [IMPLY] combative [PERIOD] excited [AND] quaint [IMPLY] difficult [PERIOD] versatile [AND] frail [AND] outrageous [IMPLY] careless [PERIOD] c...
Proof chain: quaint ⇒ condemned condemned ⇒ sincere sincere ⇒ inexpensive quaint ⇒ condemned condemned ⇒ sincere inexpensive ∧ sincere ∧ outrageous ⇒ reserved
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Facts: Batman is courageous [PERIOD] Batman is silly [PERIOD] Batman is thoughtful [PERIOD] Rules: wandering [AND] bored [IMPLY] innocent [PERIOD] shy [AND] pessimistic [AND] tidy [IMPLY] silly [PERIOD] homely [AND] outstanding [AND] confused [IMPLY] innocent [PERIOD] thoughtful [IMPLY] bored [PERIOD] loving [IMPLY] s...
Proof chain: courageous ⇒ worrisome worrisome ⇒ wandering thoughtful ⇒ bored bored ⇒ loving loving ⇒ innocent wandering ∧ innocent ⇒ dull
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Facts: Batman is scared [PERIOD] Rules: cooperative [IMPLY] mean [PERIOD] joyous [AND] outrageous [AND] outstanding [IMPLY] scared [PERIOD] cute [AND] rational [IMPLY] straightforward [PERIOD] gleaming [IMPLY] straightforward [PERIOD] beautiful [IMPLY] modern [PERIOD] mean [AND] cooperative [AND] scared [IMPLY] confid...
Proof chain: Cannot apply rule “stupid ∧ wandering ∧ broad-minded ⇒ uptight” because missing: stupid, wandering, broad-minded. Cannot apply rule “amused ∧ confident ∧ rational ⇒ uptight” because missing: amused, confident, rational. Cannot apply rule “straightforward ∧ attractive ∧ amused ⇒ uptight” because mi...
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Facts: Batman is distinct [PERIOD] Batman is nervous [PERIOD] Batman is troubled [PERIOD] Batman is jittery [PERIOD] Rules: stupid [AND] distinct [IMPLY] selfish [PERIOD] clean [AND] dishonest [IMPLY] fine [PERIOD] selfish [AND] hypocritical [AND] precious [IMPLY] clean [PERIOD] grumpy [AND] elegant [IMPLY] stupid [PE...
Proof chain: distinct ⇒ stupid distinct ⇒ stupid distinct ⇒ talkative stupid ∧ talkative ⇒ clean clean ∧ jittery ∧ distinct ⇒ cute stupid ∧ cute ⇒ curious
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Facts: Batman is pleasant [PERIOD] Batman is amused [PERIOD] Batman is precious [PERIOD] Batman is troubled [PERIOD] Batman is wandering [PERIOD] Rules: wrong [IMPLY] easy [PERIOD] stupid [AND] inexpensive [AND] amused [IMPLY] wandering [PERIOD] wandering [IMPLY] supportive [PERIOD] inexpensive [AND] wandering [AND] a...
Proof chain: amused ∧ pleasant ⇒ impartial pleasant ⇒ homely amused ∧ pleasant ⇒ impartial impartial ⇒ easy impartial ∧ homely ∧ easy ⇒ naughty pleasant ∧ precious ∧ naughty ⇒ attractive
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Facts: Batman is talented [PERIOD] Batman is lonely [PERIOD] Batman is clumsy [PERIOD] Batman is tidy [PERIOD] Rules: cruel [AND] mysterious [AND] rational [IMPLY] stubborn [PERIOD] talented [AND] supportive [AND] pessimistic [IMPLY] adorable [PERIOD] ambitious [AND] rational [AND] hypocritical [IMPLY] cruel [PERIOD] ...
Proof chain: clumsy ⇒ condemned lonely ⇒ cruel condemned ∧ cruel ∧ talented ⇒ combative clumsy ⇒ condemned tidy ⇒ tender combative ∧ condemned ∧ tender ⇒ aggressive
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Facts: Batman is reserved [PERIOD] Batman is different [PERIOD] Rules: impatient [IMPLY] homely [PERIOD] loving [AND] reserved [IMPLY] witty [PERIOD] long [AND] homely [IMPLY] serious [PERIOD] curious [AND] different [IMPLY] rational [PERIOD] excited [IMPLY] reserved [PERIOD] innocent [IMPLY] curious [PERIOD] naughty ...
Proof chain: Cannot apply rule “long ∧ homely ⇒ serious” because missing: long, homely. Cannot apply rule “long ∧ different ∧ jittery ⇒ serious” because missing: long, jittery. Cannot apply rule “homely ∧ reserved ⇒ serious” because missing: homely. Cannot apply rule “innocent ∧ curious ∧ disgusted ⇒ seriou...
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Facts: Batman is pessimistic [PERIOD] Batman is strange [PERIOD] Rules: confident [AND] frail [IMPLY] sincere [PERIOD] curious [AND] pleasant [AND] gifted [IMPLY] talkative [PERIOD] average [IMPLY] curious [PERIOD] friendly [IMPLY] gifted [PERIOD] talkative [AND] curious [IMPLY] inquisitive [PERIOD] friendly [AND] imp...
Proof chain: pessimistic ⇒ frail frail ⇒ friendly pessimistic ⇒ confident confident ⇒ sincere sincere ⇒ calm friendly ∧ pessimistic ∧ calm ⇒ dull
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Facts: Batman is supportive [PERIOD] Batman is pleasant [PERIOD] Batman is bored [PERIOD] Batman is foolish [PERIOD] Batman is rude [PERIOD] Batman is blushing [PERIOD] Batman is beautiful [PERIOD] Batman is impatient [PERIOD] Batman is naughty [PERIOD] Batman is victorious [PERIOD] Rules: blushing [IMPLY] clumsy [PER...
Proof chain: supportive ⇒ muddy muddy ⇒ different impatient ⇒ spotless bored ⇒ straightforward straightforward ∧ victorious ⇒ versatile different ∧ spotless ∧ versatile ⇒ bright
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Facts: Batman is blushing [PERIOD] Batman is mean [PERIOD] Batman is average [PERIOD] Batman is cooperative [PERIOD] Batman is ugliest [PERIOD] Batman is alert [PERIOD] Rules: adorable [IMPLY] disgusted [PERIOD] strange [AND] crowded [AND] impartial [IMPLY] mean [PERIOD] average [AND] agreeable [AND] adorable [IMPLY] ...
Proof chain: alert ⇒ silly alert ⇒ silly silly ∧ alert ⇒ thoughtful average ⇒ dishonest silly ∧ thoughtful ∧ dishonest ⇒ shy shy ∧ ugliest ⇒ adorable
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Facts: Batman is fearless [PERIOD] Batman is disobedient [PERIOD] Batman is horrible [PERIOD] Batman is tender [PERIOD] Batman is friendly [PERIOD] Batman is fragile [PERIOD] Batman is outrageous [PERIOD] Rules: outrageous [AND] smart [AND] horrible [IMPLY] wandering [PERIOD] disobedient [AND] wandering [AND] muddy [I...
Proof chain: friendly ⇒ selfish disobedient ∧ fearless ∧ tender ⇒ wandering friendly ⇒ selfish outrageous ∧ wandering ∧ selfish ⇒ confident disobedient ∧ fearless ∧ tender ⇒ wandering selfish ∧ confident ∧ wandering ⇒ troubled
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Facts: Batman is helpful [PERIOD] Batman is polite [PERIOD] Batman is crowded [PERIOD] Batman is long [PERIOD] Batman is selfish [PERIOD] Rules: good [IMPLY] ugly [PERIOD] embarrassed [AND] unpleasant [AND] bored [IMPLY] helpful [PERIOD] fancy [AND] polite [IMPLY] frail [PERIOD] crowded [AND] good [AND] versatile [IMP...
Proof chain: crowded ⇒ dull dull ⇒ versatile versatile ∧ crowded ⇒ fancy fancy ⇒ good selfish ⇒ embarrassed good ∧ embarrassed ∧ selfish ⇒ bored
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Facts: Batman is disgusted [PERIOD] Batman is impatient [PERIOD] Batman is dishonest [PERIOD] Rules: crowded [IMPLY] comfortable [PERIOD] vivacious [AND] impatient [IMPLY] helpful [PERIOD] talkative [AND] tidy [AND] shy [IMPLY] lucky [PERIOD] comfortable [AND] dishonest [IMPLY] lucky [PERIOD] disgusted [AND] gorgeous ...
Proof chain: disgusted ⇒ inquisitive inquisitive ⇒ helpful disgusted ⇒ inquisitive inquisitive ⇒ helpful helpful ⇒ serious dishonest ∧ helpful ∧ serious ⇒ talkative
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Facts: Rules: tired [IMPLY] bored [PERIOD] helpless [IMPLY] cooperative [PERIOD] tired [AND] helpless [IMPLY] horrible [PERIOD] tired [AND] bored [IMPLY] cooperative [PERIOD] cooperative [AND] silly [AND] bored [IMPLY] horrible [PERIOD] tired [AND] silly [IMPLY] horrible [PERIOD] horrible [AND] helpless [IMPLY] silly ...
Proof chain: Cannot apply rule “tired ∧ helpless ⇒ horrible” because missing: tired, helpless. Cannot apply rule “cooperative ∧ silly ∧ bored ⇒ horrible” because missing: cooperative, silly, bored. Cannot apply rule “tired ∧ silly ⇒ horrible” because missing: tired, silly. Cannot apply rule “tired ∧ helples...
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Facts: Batman is broad-minded [PERIOD] Batman is helpful [PERIOD] Batman is curious [PERIOD] Batman is spotless [PERIOD] Batman is confident [PERIOD] Rules: attentive [AND] adorable [AND] scared [IMPLY] careless [PERIOD] disgusted [AND] outstanding [AND] stormy [IMPLY] elegant [PERIOD] outstanding [AND] confident [IMP...
Proof chain: confident ⇒ powerful confident ∧ powerful ∧ helpful ⇒ reserved curious ⇒ aggressive curious ⇒ tired tired ⇒ rude reserved ∧ aggressive ∧ rude ⇒ adorable
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Facts: Batman is distinct [PERIOD] Batman is ugly [PERIOD] Rules: plain [AND] ugly [AND] thoughtful [IMPLY] troubled [PERIOD] quaint [IMPLY] ugly [PERIOD] talented [AND] crowded [AND] shiny [IMPLY] thoughtful [PERIOD] thoughtful [AND] average [IMPLY] quaint [PERIOD] talented [IMPLY] troubled [PERIOD] distinct [AND] ug...
Proof chain: Cannot apply rule “plain ∧ ugly ∧ thoughtful ⇒ troubled” because missing: plain, thoughtful. Cannot apply rule “talented ⇒ troubled” because missing: talented. Cannot apply rule “ugly ∧ talented ∧ shiny ⇒ troubled” because missing: talented, shiny. Cannot apply rule “distinct ∧ talented ∧ crowd...
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Facts: Batman is fancy [PERIOD] Batman is jittery [PERIOD] Rules: tame [AND] disgusted [AND] diplomatic [IMPLY] worrisome [PERIOD] disgusted [IMPLY] curious [PERIOD] fragile [AND] good [IMPLY] aggressive [PERIOD] tame [IMPLY] hilarious [PERIOD] bad-tempered [IMPLY] victorious [PERIOD] good [AND] stormy [AND] disgusted...
Proof chain: jittery ⇒ disgusted Cannot apply rule “good ∧ stormy ∧ disgusted ⇒ diplomatic” because missing: good, stormy. jittery ⇒ disgusted disgusted ⇒ curious Cannot apply rule “curious ∧ tame ∧ aggressive ⇒ diplomatic” because missing: tame, aggressive. Cannot apply rule “bad-tempered ∧ hilarious...
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Facts: Batman is hurt [PERIOD] Batman is selfish [PERIOD] Batman is uptight [PERIOD] Rules: versatile [AND] hilarious [AND] ambitious [IMPLY] selfish [PERIOD] broad-minded [AND] elated [AND] aggressive [IMPLY] rational [PERIOD] rational [IMPLY] selfish [PERIOD] pessimistic [IMPLY] blushing [PERIOD] uptight [AND] excit...
Proof chain: uptight ⇒ smart Cannot apply rule “uptight ∧ smart ∧ blushing ⇒ quaint” because missing: blushing. Cannot apply rule “worrisome ⇒ quaint” because missing: worrisome. Cannot apply rule “selfish ∧ blushing ⇒ quaint” because missing: blushing. Cannot apply rule “inquisitive ⇒ quaint” because mi...
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Facts: Batman is plain [PERIOD] Batman is light [PERIOD] Batman is popular [PERIOD] Batman is combative [PERIOD] Batman is wide-eyed [PERIOD] Batman is difficult [PERIOD] Batman is aggressive [PERIOD] Rules: selfish [AND] disgusted [IMPLY] shiny [PERIOD] gorgeous [AND] strange [AND] rational [IMPLY] good [PERIOD] hypo...
Proof chain: difficult ⇒ selfish combative ∧ light ⇒ hypocritical hypocritical ∧ light ⇒ disgusted selfish ∧ wide-eyed ∧ disgusted ⇒ vivacious aggressive ⇒ dishonest vivacious ∧ dishonest ⇒ hurt
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Facts: Batman is outstanding [PERIOD] Batman is rude [PERIOD] Rules: stormy [AND] tender [IMPLY] thoughtful [PERIOD] good [AND] rude [AND] outstanding [IMPLY] helpless [PERIOD] stormy [AND] easy [AND] embarrassed [IMPLY] cooperative [PERIOD] outstanding [IMPLY] helpless [PERIOD] cooperative [AND] thoughtful [AND] supp...
Proof chain: outstanding ⇒ embarrassed Cannot apply rule “stormy ∧ easy ∧ embarrassed ⇒ cooperative” because missing: stormy, easy. outstanding ⇒ embarrassed Cannot apply rule “embarrassed ∧ pleasant ∧ rude ⇒ cooperative” because missing: pleasant. outstanding ⇒ helpless Cannot apply rule “pleasant ∧ ...
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Facts: Batman is clean [PERIOD] Rules: diplomatic [AND] shiny [AND] scared [IMPLY] loving [PERIOD] excited [IMPLY] scared [PERIOD] shiny [AND] loving [IMPLY] attentive [PERIOD] diplomatic [IMPLY] clean [PERIOD] scared [AND] talented [AND] shiny [IMPLY] loving [PERIOD] excited [AND] shiny [IMPLY] diplomatic [PERIOD] lo...
Proof chain: Cannot apply rule “excited ⇒ scared” because missing: excited. Cannot apply rule “loving ∧ talented ∧ diplomatic ⇒ scared” because missing: loving, talented, diplomatic. clean ⇒ shiny Cannot apply rule “shiny ∧ talented ∧ clean ⇒ scared” because missing: talented. Cannot apply rule “excited ...
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Facts: Batman is exuberant [PERIOD] Batman is ugliest [PERIOD] Batman is disobedient [PERIOD] Batman is elegant [PERIOD] Batman is inquisitive [PERIOD] Rules: wandering [AND] exuberant [AND] grumpy [IMPLY] shy [PERIOD] wandering [IMPLY] frail [PERIOD] comfortable [AND] excited [IMPLY] shy [PERIOD] uptight [AND] inquis...
Proof chain: elegant ∧ exuberant ⇒ wandering elegant ⇒ rude inquisitive ⇒ shy shy ∧ exuberant ⇒ bossy rude ∧ bossy ∧ ugliest ⇒ diplomatic wandering ∧ diplomatic ⇒ confident
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Facts: Rules: selfish [AND] excited [AND] anxious [IMPLY] worrisome [PERIOD] jittery [AND] rational [IMPLY] serious [PERIOD] bright [AND] serious [IMPLY] dull [PERIOD] anxious [AND] gleaming [AND] perfect [IMPLY] elated [PERIOD] worried [AND] intellectual [AND] zealous [IMPLY] dishonest [PERIOD] alert [AND] rational [...
Proof chain: Cannot apply rule “rational ∧ serious ∧ perfect ⇒ jittery” because missing: rational, serious, perfect. Cannot apply rule “anxious ∧ perfect ⇒ jittery” because missing: anxious, perfect. Cannot apply rule “worried ∧ dull ⇒ jittery” because missing: worried, dull. Cannot apply rule “charming ∧ e...
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Facts: Batman is frail [PERIOD] Batman is elegant [PERIOD] Batman is silly [PERIOD] Batman is scared [PERIOD] Rules: homely [AND] ugliest [AND] dishonest [IMPLY] elegant [PERIOD] loving [AND] ugliest [IMPLY] silly [PERIOD] gleaming [AND] condemned [IMPLY] horrible [PERIOD] dishonest [AND] loving [AND] inexpensive [IMP...
Proof chain: elegant ⇒ beautiful beautiful ⇒ bright bright ⇒ innocent silly ⇒ tense tense ⇒ calm innocent ∧ calm ⇒ dishonest
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Facts: Batman is versatile [PERIOD] Batman is pessimistic [PERIOD] Batman is victorious [PERIOD] Batman is hypocritical [PERIOD] Batman is helpless [PERIOD] Batman is clumsy [PERIOD] Batman is outstanding [PERIOD] Batman is thoughtful [PERIOD] Batman is jittery [PERIOD] Batman is dull [PERIOD] Batman is tidy [PERIOD] ...
Proof chain: cooperative ∧ dull ∧ pessimistic ⇒ friendly dull ∧ friendly ⇒ impartial thoughtful ⇒ good helpless ∧ hypocritical ⇒ horrible good ∧ horrible ⇒ thoughtless clumsy ∧ impartial ∧ thoughtless ⇒ broad-minded
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Facts: Batman is worried [PERIOD] Batman is sensible [PERIOD] Batman is aggressive [PERIOD] Batman is stormy [PERIOD] Batman is attentive [PERIOD] Batman is condemned [PERIOD] Rules: frightened [AND] sensible [IMPLY] stormy [PERIOD] sensible [AND] polite [AND] stormy [IMPLY] tidy [PERIOD] sensible [AND] confused [AND]...
Proof chain: condemned ⇒ combative worried ⇒ frightened combative ∧ stormy ∧ frightened ⇒ tame condemned ⇒ combative Cannot apply rule “tame ∧ combative ∧ polite ⇒ impatient” because missing: polite. Cannot apply rule “polite ⇒ impatient” because missing: polite.
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Facts: Batman is victorious [PERIOD] Batman is ugliest [PERIOD] Batman is gleaming [PERIOD] Batman is easy [PERIOD] Batman is hurt [PERIOD] Batman is frail [PERIOD] Batman is thoughtless [PERIOD] Batman is bored [PERIOD] Batman is strange [PERIOD] Batman is blushing [PERIOD] Batman is old-fashioned [PERIOD] Rules: jit...
Proof chain: victorious ⇒ combative hurt ∧ bored ∧ old-fashioned ⇒ bright combative ∧ bright ∧ frail ⇒ courageous courageous ∧ blushing ⇒ hypocritical hypocritical ⇒ powerful powerful ⇒ aggressive
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Facts: Batman is impatient [PERIOD] Batman is sincere [PERIOD] Batman is crowded [PERIOD] Batman is shiny [PERIOD] Rules: messy [IMPLY] versatile [PERIOD] clumsy [AND] clean [IMPLY] crowded [PERIOD] condemned [AND] versatile [IMPLY] exuberant [PERIOD] dull [AND] gorgeous [AND] uptight [IMPLY] polite [PERIOD] powerful ...
Proof chain: sincere ⇒ pessimistic sincere ⇒ pessimistic pessimistic ⇒ versatile shiny ∧ versatile ⇒ powerful pessimistic ∧ powerful ⇒ exuberant sincere ∧ exuberant ⇒ plain
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Facts: Batman is bad-tempered [PERIOD] Batman is supportive [PERIOD] Batman is frantic [PERIOD] Batman is easy [PERIOD] Rules: supportive [AND] courageous [IMPLY] ugly [PERIOD] easy [AND] supportive [AND] adorable [IMPLY] messy [PERIOD] impartial [AND] ugly [AND] bad-tempered [IMPLY] horrible [PERIOD] reserved [IMPLY]...
Proof chain: frantic ⇒ messy messy ⇒ ugly supportive ∧ bad-tempered ∧ ugly ⇒ horrible horrible ⇒ adorable frantic ⇒ messy adorable ∧ messy ⇒ sensible
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Facts: Batman is calm [PERIOD] Batman is cooperative [PERIOD] Batman is glamorous [PERIOD] Batman is uptight [PERIOD] Batman is average [PERIOD] Batman is frantic [PERIOD] Batman is lucky [PERIOD] Rules: glamorous [AND] beautiful [IMPLY] broad-minded [PERIOD] perfect [AND] mysterious [IMPLY] tense [PERIOD] silly [IMPL...
Proof chain: lucky ⇒ perfect lucky ⇒ perfect perfect ⇒ mysterious perfect ∧ mysterious ⇒ tense cooperative ⇒ inexpensive Cannot apply rule “tense ∧ inexpensive ∧ beautiful ⇒ distinct” because missing: beautiful.
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