Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is bright [PERIOD] Batman is horrible [PERIOD] Batman is average [PERIOD] Batman is ambitious [PERIOD] Rules: pleasant [AND] vivacious [IMPLY] cooperative [PERIOD] different [AND] pleasant [IMPLY] vivacious [PERIOD] wrong [AND] talented [AND] tender [IMPLY] horrible [PERIOD] different [AND] ugliest [AND]...
Proof chain: horrible ⇒ tender tender ⇒ friendly friendly ⇒ tired bright ∧ tired ∧ ambitious ⇒ rational bright ⇒ different different ⇒ ugly rational ∧ ambitious ∧ ugly ⇒ impatient
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7
Facts: Batman is stormy [PERIOD] Batman is average [PERIOD] Batman is hilarious [PERIOD] Batman is versatile [PERIOD] Batman is good [PERIOD] Batman is muddy [PERIOD] Batman is messy [PERIOD] Rules: anxious [AND] sleepy [IMPLY] spotless [PERIOD] curious [AND] agreeable [IMPLY] versatile [PERIOD] fearless [AND] fancy [...
Proof chain: stormy ∧ average ⇒ charming versatile ∧ good ⇒ sleepy versatile ∧ sleepy ⇒ sensible stormy ∧ average ⇒ charming stormy ∧ charming ∧ versatile ⇒ curious versatile ∧ curious ⇒ fearless charming ∧ sensible ∧ fearless ⇒ agreeable
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7
Facts: Batman is intellectual [PERIOD] Rules: friendly [AND] careless [AND] loving [IMPLY] disgusted [PERIOD] agreeable [AND] charming [AND] muddy [IMPLY] vivacious [PERIOD] muddy [AND] careless [IMPLY] friendly [PERIOD] agreeable [AND] mean [AND] supportive [IMPLY] intellectual [PERIOD] friendly [AND] dishonest [IMPL...
Proof chain: intellectual ⇒ precious precious ⇒ supportive supportive ∧ intellectual ⇒ careless Cannot apply rule “friendly ∧ careless ∧ loving ⇒ disgusted” because missing: friendly, loving. intellectual ⇒ precious precious ⇒ supportive Cannot apply rule “vivacious ∧ supportive ∧ agreeable ⇒ disgu...
0
7
Facts: Batman is versatile [PERIOD] Batman is ugliest [PERIOD] Batman is agreeable [PERIOD] Rules: hurt [AND] weary [IMPLY] frail [PERIOD] agreeable [IMPLY] scared [PERIOD] strange [AND] easy [IMPLY] fragile [PERIOD] strange [AND] tense [IMPLY] disgusted [PERIOD] difficult [IMPLY] ugly [PERIOD] scared [IMPLY] elated [...
Proof chain: Cannot apply rule “polite ∧ attentive ⇒ proud” because missing: polite, attentive. agreeable ⇒ scared scared ⇒ elated ugliest ∧ elated ⇒ disgusted agreeable ⇒ scared disgusted ∧ scared ∧ versatile ⇒ hurt Cannot apply rule “powerful ∧ hurt ∧ difficult ⇒ proud” because missing: powerful,...
0
7
Facts: Batman is fine [PERIOD] Rules: grumpy [IMPLY] alert [PERIOD] wide-eyed [AND] serious [AND] joyous [IMPLY] grumpy [PERIOD] wide-eyed [IMPLY] famous [PERIOD] plain [AND] victorious [IMPLY] inquisitive [PERIOD] easy [AND] plain [IMPLY] powerful [PERIOD] wide-eyed [IMPLY] inquisitive [PERIOD] alert [AND] powerful [...
Proof chain: Cannot apply rule “wide-eyed ∧ serious ∧ joyous ⇒ grumpy” because missing: wide-eyed, serious, joyous. Cannot apply rule “bossy ∧ famous ⇒ grumpy” because missing: bossy, famous. Cannot apply rule “victorious ⇒ grumpy” because missing: victorious. Cannot apply rule “victorious ∧ alert ⇒ grumpy”...
0
7
Facts: Batman is condemned [PERIOD] Batman is comfortable [PERIOD] Batman is agreeable [PERIOD] Rules: condemned [AND] wrong [AND] muddy [IMPLY] silly [PERIOD] agreeable [AND] comfortable [AND] easy [IMPLY] helpful [PERIOD] bossy [AND] famous [AND] wrong [IMPLY] homely [PERIOD] homely [AND] helpful [AND] foolish [IMPL...
Proof chain: comfortable ⇒ clumsy comfortable ⇒ clumsy comfortable ⇒ clumsy clumsy ⇒ distinct distinct ⇒ aggressive clumsy ∧ comfortable ∧ aggressive ⇒ famous agreeable ∧ clumsy ∧ famous ⇒ bossy
1
7
Facts: Batman is stubborn [PERIOD] Rules: witty [AND] smart [AND] careless [IMPLY] versatile [PERIOD] fancy [AND] calm [IMPLY] lonely [PERIOD] easy [AND] average [AND] stubborn [IMPLY] curious [PERIOD] versatile [IMPLY] careless [PERIOD] careless [AND] beautiful [AND] fancy [IMPLY] stubborn [PERIOD] average [AND] calm...
Proof chain: stubborn ⇒ average Cannot apply rule “average ∧ fancy ∧ thoughtful ⇒ pessimistic” because missing: fancy, thoughtful. Cannot apply rule “attractive ∧ thoughtful ⇒ pessimistic” because missing: attractive, thoughtful. stubborn ⇒ average Cannot apply rule “average ∧ beautiful ⇒ pessimistic” be...
0
7
Facts: Batman is friendly [PERIOD] Rules: comfortable [AND] sincere [AND] nervous [IMPLY] spotless [PERIOD] embarrassed [AND] bossy [AND] impartial [IMPLY] sincere [PERIOD] nervous [AND] bossy [AND] inquisitive [IMPLY] wrong [PERIOD] inquisitive [IMPLY] wrong [PERIOD] comfortable [AND] proud [AND] nervous [IMPLY] sinc...
Proof chain: friendly ⇒ embarrassed embarrassed ⇒ dishonest friendly ⇒ embarrassed embarrassed ⇒ spotless spotless ⇒ proud dishonest ∧ proud ⇒ inquisitive inquisitive ⇒ wrong
1
7
Facts: Batman is modern [PERIOD] Batman is beautiful [PERIOD] Batman is dishonest [PERIOD] Rules: calm [AND] courageous [IMPLY] crowded [PERIOD] diplomatic [AND] crowded [IMPLY] aggressive [PERIOD] diplomatic [IMPLY] calm [PERIOD] beautiful [AND] frightened [IMPLY] hurt [PERIOD] modern [AND] easy [IMPLY] talkative [PE...
Proof chain: modern ⇒ calm calm ∧ modern ⇒ perfect modern ⇒ calm calm ∧ modern ⇒ perfect perfect ⇒ different dishonest ∧ perfect ∧ different ⇒ courageous courageous ⇒ easy
1
7
Facts: Batman is mean [PERIOD] Batman is light [PERIOD] Batman is wandering [PERIOD] Batman is wide-eyed [PERIOD] Batman is confused [PERIOD] Rules: bad-tempered [AND] vivacious [IMPLY] unpleasant [PERIOD] zealous [AND] confused [IMPLY] wandering [PERIOD] reserved [AND] homely [IMPLY] impatient [PERIOD] long [AND] agr...
Proof chain: light ⇒ helpful confused ⇒ thoughtless helpful ∧ thoughtless ⇒ witty confused ⇒ reserved confused ∧ witty ∧ reserved ⇒ agreeable confused ⇒ thoughtless agreeable ∧ thoughtless ⇒ condemned
1
7
Facts: Batman is impartial [PERIOD] Batman is gleaming [PERIOD] Batman is grumpy [PERIOD] Rules: frantic [AND] comfortable [AND] jittery [IMPLY] tidy [PERIOD] bored [AND] thoughtful [AND] outrageous [IMPLY] selfish [PERIOD] outrageous [AND] bored [IMPLY] tame [PERIOD] bored [AND] grumpy [IMPLY] precious [PERIOD] perfe...
Proof chain: gleaming ⇒ sensible impartial ⇒ bored gleaming ∧ sensible ∧ bored ⇒ tidy tidy ⇒ frantic frantic ⇒ tame gleaming ⇒ comfortable tame ∧ comfortable ⇒ dull
1
7
Facts: Batman is lonely [PERIOD] Batman is busy [PERIOD] Batman is combative [PERIOD] Batman is light [PERIOD] Rules: busy [AND] frail [AND] famous [IMPLY] thoughtful [PERIOD] frail [IMPLY] rational [PERIOD] frail [IMPLY] lonely [PERIOD] foolish [IMPLY] smart [PERIOD] friendly [AND] light [IMPLY] frail [PERIOD] ration...
Proof chain: combative ⇒ thoughtful light ⇒ shy thoughtful ∧ shy ∧ light ⇒ different light ⇒ shy light ∧ different ∧ shy ⇒ frail frail ⇒ plain plain ⇒ fine
1
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Facts: Batman is ugliest [PERIOD] Rules: confident [AND] frail [AND] witty [IMPLY] good [PERIOD] troubled [AND] worried [IMPLY] modern [PERIOD] worried [AND] messy [IMPLY] rational [PERIOD] innocent [IMPLY] ugliest [PERIOD] courageous [AND] worried [IMPLY] stupid [PERIOD] witty [AND] rational [AND] confident [IMPLY] m...
Proof chain: ugliest ⇒ rational Cannot apply rule “homely ∧ rational ∧ troubled ⇒ witty” because missing: homely, troubled. Cannot apply rule “ugliest ∧ modern ∧ worried ⇒ witty” because missing: modern, worried. Cannot apply rule “confident ⇒ witty” because missing: confident. ugliest ⇒ rational Cann...
0
7
Facts: Rules: uptight [IMPLY] proud [PERIOD] dishonest [AND] courageous [IMPLY] exuberant [PERIOD] charming [IMPLY] exuberant [PERIOD] dishonest [AND] easy [AND] witty [IMPLY] courageous [PERIOD] exuberant [AND] charming [AND] courageous [IMPLY] frantic [PERIOD] sleepy [AND] easy [AND] distinct [IMPLY] thoughtful [PER...
Proof chain: Cannot apply rule “shiny ∧ witty ⇒ dishonest” because missing: shiny, witty. Cannot apply rule “proud ∧ frantic ∧ courageous ⇒ dishonest” because missing: proud, frantic, courageous. Cannot apply rule “agreeable ∧ confused ⇒ dishonest” because missing: agreeable, confused. Cannot apply rule “sl...
0
7
Facts: Batman is witty [PERIOD] Batman is curious [PERIOD] Rules: average [AND] curious [IMPLY] witty [PERIOD] confused [IMPLY] enchanting [PERIOD] average [IMPLY] spotless [PERIOD] smart [IMPLY] spotless [PERIOD] tender [AND] easy [IMPLY] attentive [PERIOD] inexpensive [IMPLY] easy [PERIOD] inexpensive [IMPLY] confus...
Proof chain: Cannot apply rule “inexpensive ⇒ easy” because missing: inexpensive. Cannot apply rule “horrible ∧ enchanting ∧ spotless ⇒ easy” because missing: horrible, enchanting, spotless. witty ⇒ tender Cannot apply rule “average ∧ tender ⇒ easy” because missing: average. Cannot apply rule “horrible ∧...
0
7
Facts: Batman is selfish [PERIOD] Batman is attentive [PERIOD] Batman is frantic [PERIOD] Batman is busy [PERIOD] Batman is wandering [PERIOD] Rules: spotless [AND] blushing [AND] naughty [IMPLY] victorious [PERIOD] busy [AND] quaint [IMPLY] condemned [PERIOD] frantic [AND] naughty [AND] busy [IMPLY] inexpensive [PERI...
Proof chain: attentive ⇒ quaint busy ∧ quaint ⇒ condemned attentive ⇒ quaint quaint ⇒ spotless spotless ⇒ pleasant condemned ∧ pleasant ⇒ naughty frantic ∧ naughty ∧ busy ⇒ inexpensive
1
7
Facts: Batman is silly [PERIOD] Batman is strange [PERIOD] Batman is frantic [PERIOD] Rules: agreeable [AND] troubled [IMPLY] bored [PERIOD] busy [IMPLY] difficult [PERIOD] aggressive [AND] bored [IMPLY] confident [PERIOD] agreeable [IMPLY] elegant [PERIOD] frail [IMPLY] easy [PERIOD] easy [AND] stormy [AND] difficult...
Proof chain: silly ∧ frantic ⇒ busy busy ⇒ difficult strange ⇒ troubled troubled ⇒ victorious victorious ⇒ muddy strange ⇒ witty difficult ∧ muddy ∧ witty ⇒ reserved
1
7
Facts: Batman is comfortable [PERIOD] Batman is clean [PERIOD] Rules: broad-minded [AND] tender [IMPLY] reserved [PERIOD] comfortable [AND] popular [AND] broad-minded [IMPLY] bad-tempered [PERIOD] clean [IMPLY] popular [PERIOD] gleaming [AND] different [AND] broad-minded [IMPLY] bad-tempered [PERIOD] reserved [AND] ba...
Proof chain: Cannot apply rule “bad-tempered ⇒ broad-minded” because missing: bad-tempered. Cannot apply rule “reserved ∧ comfortable ⇒ broad-minded” because missing: reserved. comfortable ∧ clean ⇒ tender clean ⇒ popular Cannot apply rule “tender ∧ bad-tempered ∧ popular ⇒ broad-minded” because missing:...
0
7
Facts: Rules: jittery [AND] rude [IMPLY] mysterious [PERIOD] tame [AND] muddy [AND] sensible [IMPLY] mysterious [PERIOD] jittery [AND] cruel [IMPLY] condemned [PERIOD] ugliest [AND] smart [IMPLY] sensible [PERIOD] rude [AND] stupid [IMPLY] average [PERIOD] sensible [AND] stubborn [AND] curious [IMPLY] rude [PERIOD] co...
Proof chain: Cannot apply rule “rude ∧ jittery ∧ sensible ⇒ reserved” because missing: rude, jittery, sensible. Cannot apply rule “stupid ∧ ambitious ∧ ugliest ⇒ reserved” because missing: stupid, ambitious, ugliest. Cannot apply rule “jittery ⇒ reserved” because missing: jittery. Cannot apply rule “gifted ...
0
7
Facts: Batman is innocent [PERIOD] Batman is tired [PERIOD] Batman is helpless [PERIOD] Batman is frightened [PERIOD] Batman is inexpensive [PERIOD] Rules: silly [AND] zealous [AND] lonely [IMPLY] loving [PERIOD] courageous [AND] dishonest [IMPLY] fearless [PERIOD] spotless [AND] lonely [AND] troubled [IMPLY] talkativ...
Proof chain: helpless ⇒ sensible sensible ⇒ spotless spotless ⇒ silly silly ⇒ courageous frightened ⇒ troubled troubled ⇒ dishonest courageous ∧ dishonest ⇒ fearless
1
7
Facts: Batman is fine [PERIOD] Batman is inexpensive [PERIOD] Rules: combative [AND] modern [AND] cruel [IMPLY] disobedient [PERIOD] silly [AND] cruel [AND] powerful [IMPLY] homely [PERIOD] worried [IMPLY] innocent [PERIOD] innocent [IMPLY] modern [PERIOD] modern [AND] fine [AND] homely [IMPLY] stupid [PERIOD] old-fas...
Proof chain: inexpensive ⇒ innocent inexpensive ⇒ innocent innocent ⇒ combative inexpensive ⇒ innocent innocent ⇒ combative combative ⇒ mean innocent ∧ combative ∧ mean ⇒ powerful
1
7
Facts: Batman is spotless [PERIOD] Rules: muddy [IMPLY] tired [PERIOD] shiny [IMPLY] blushing [PERIOD] bossy [IMPLY] distinct [PERIOD] innocent [AND] clean [AND] bored [IMPLY] muddy [PERIOD] witty [AND] shy [IMPLY] ambitious [PERIOD] spotless [AND] clean [AND] thoughtful [IMPLY] exuberant [PERIOD] lucky [IMPLY] innoce...
Proof chain: spotless ⇒ distinct distinct ⇒ blushing spotless ⇒ distinct distinct ⇒ blushing spotless ⇒ distinct blushing ∧ distinct ⇒ ambitious blushing ∧ ambitious ⇒ tired
1
7
Facts: Batman is tense [PERIOD] Rules: dull [AND] adorable [IMPLY] intellectual [PERIOD] intellectual [AND] dull [IMPLY] tidy [PERIOD] intellectual [AND] embarrassed [IMPLY] joyous [PERIOD] tense [IMPLY] joyous [PERIOD] intellectual [IMPLY] tense [PERIOD] tense [IMPLY] adorable [PERIOD] confident [AND] tidy [IMPLY] te...
Proof chain: tense ⇒ adorable tense ⇒ blushing tense ⇒ joyous tense ⇒ joyous joyous ⇒ intellectual blushing ∧ joyous ∧ intellectual ⇒ fearless adorable ∧ fearless ⇒ victorious
1
7
Facts: Batman is clumsy [PERIOD] Batman is messy [PERIOD] Batman is thoughtful [PERIOD] Batman is average [PERIOD] Batman is worried [PERIOD] Rules: aggressive [AND] messy [AND] average [IMPLY] gifted [PERIOD] gifted [IMPLY] condemned [PERIOD] silly [IMPLY] aggressive [PERIOD] average [IMPLY] thoughtful [PERIOD] wande...
Proof chain: average ⇒ condemned condemned ∧ messy ⇒ silly silly ⇒ aggressive average ⇒ rude average ∧ messy ∧ worried ⇒ hurt rude ∧ hurt ∧ average ⇒ sensible aggressive ∧ sensible ⇒ careless
1
7
Facts: Batman is powerful [PERIOD] Batman is horrible [PERIOD] Batman is alert [PERIOD] Batman is troubled [PERIOD] Rules: joyous [IMPLY] cruel [PERIOD] straightforward [AND] horrible [AND] troubled [IMPLY] cruel [PERIOD] cooperative [AND] curious [IMPLY] impatient [PERIOD] difficult [AND] clumsy [IMPLY] curious [PERI...
Proof chain: Cannot apply rule “clumsy ⇒ courageous” because missing: clumsy. horrible ⇒ straightforward straightforward ∧ horrible ∧ troubled ⇒ cruel Cannot apply rule “impatient ∧ cruel ∧ joyous ⇒ courageous” because missing: impatient, joyous. horrible ⇒ straightforward Cannot apply rule “cooperati...
0
7
Facts: Batman is innocent [PERIOD] Rules: tidy [IMPLY] fearless [PERIOD] friendly [AND] sleepy [AND] thoughtless [IMPLY] gorgeous [PERIOD] innocent [AND] friendly [AND] sleepy [IMPLY] gorgeous [PERIOD] glamorous [IMPLY] thoughtless [PERIOD] loving [AND] gorgeous [AND] fearless [IMPLY] friendly [PERIOD] friendly [AND] ...
Proof chain: innocent ⇒ tidy tidy ∧ innocent ⇒ thoughtless Cannot apply rule “friendly ∧ sleepy ∧ thoughtless ⇒ gorgeous” because missing: friendly, sleepy. Cannot apply rule “innocent ∧ friendly ∧ sleepy ⇒ gorgeous” because missing: friendly, sleepy. innocent ⇒ tidy tidy ⇒ fearless Cannot apply ru...
0
7
Facts: Batman is good [PERIOD] Batman is rational [PERIOD] Batman is straightforward [PERIOD] Batman is hurt [PERIOD] Batman is hilarious [PERIOD] Rules: polite [AND] weary [AND] amused [IMPLY] perfect [PERIOD] confident [AND] stupid [IMPLY] attractive [PERIOD] straightforward [AND] zealous [AND] clumsy [IMPLY] gifted...
Proof chain: hilarious ⇒ polite polite ⇒ gifted gifted ⇒ tired hilarious ⇒ polite polite ⇒ gifted tired ∧ gifted ∧ straightforward ⇒ confident confident ⇒ smart
1
7
Facts: Batman is plain [PERIOD] Batman is combative [PERIOD] Rules: elegant [AND] weary [IMPLY] condemned [PERIOD] cute [AND] spotless [IMPLY] combative [PERIOD] embarrassed [AND] foolish [IMPLY] proud [PERIOD] lucky [AND] joyous [IMPLY] plain [PERIOD] helpful [AND] different [IMPLY] tame [PERIOD] joyous [IMPLY] embar...
Proof chain: plain ⇒ tidy tidy ⇒ worried worried ⇒ helpful plain ⇒ tidy tidy ⇒ worried helpful ∧ worried ⇒ spotless spotless ⇒ embarrassed
1
7
Facts: Batman is naughty [PERIOD] Batman is troubled [PERIOD] Rules: beautiful [AND] stormy [IMPLY] sleepy [PERIOD] bright [AND] sleepy [IMPLY] naughty [PERIOD] uptight [AND] beautiful [IMPLY] sleepy [PERIOD] naughty [AND] troubled [IMPLY] beautiful [PERIOD] busy [AND] tense [AND] weary [IMPLY] strange [PERIOD] helpfu...
Proof chain: troubled ⇒ dull dull ⇒ bright troubled ⇒ dull naughty ⇒ busy busy ⇒ sleepy naughty ∧ sleepy ⇒ diplomatic bright ∧ dull ∧ diplomatic ⇒ tense
1
7
Facts: Rules: clean [AND] anxious [IMPLY] jittery [PERIOD] anxious [AND] jittery [IMPLY] stormy [PERIOD] powerful [AND] clean [IMPLY] jittery [PERIOD] powerful [IMPLY] jittery [PERIOD] jittery [AND] stormy [AND] anxious [IMPLY] clean [PERIOD] jittery [AND] smart [AND] stormy [IMPLY] powerful [PERIOD] smart [AND] anxio...
Proof chain: Cannot apply rule “clean ∧ anxious ⇒ jittery” because missing: clean, anxious. Cannot apply rule “powerful ∧ clean ⇒ jittery” because missing: powerful, clean. Cannot apply rule “powerful ⇒ jittery” because missing: powerful. Cannot apply rule “smart ∧ powerful ⇒ jittery” because missing: smart...
0
7
Facts: Batman is pleasant [PERIOD] Batman is modern [PERIOD] Batman is straightforward [PERIOD] Batman is charming [PERIOD] Rules: wrong [AND] charming [AND] nervous [IMPLY] unpleasant [PERIOD] wrong [AND] worrisome [AND] attractive [IMPLY] adorable [PERIOD] charming [IMPLY] nervous [PERIOD] worrisome [AND] nervous [I...
Proof chain: modern ∧ straightforward ⇒ wrong charming ∧ modern ⇒ adorable straightforward ⇒ unpleasant adorable ∧ modern ∧ unpleasant ⇒ attractive wrong ∧ attractive ⇒ worrisome charming ⇒ nervous worrisome ∧ nervous ⇒ muddy
1
7
Facts: Batman is fragile [PERIOD] Batman is hurt [PERIOD] Batman is vivacious [PERIOD] Rules: hilarious [IMPLY] careless [PERIOD] weary [AND] naughty [IMPLY] stormy [PERIOD] perfect [AND] outrageous [IMPLY] talented [PERIOD] horrible [AND] tidy [IMPLY] perfect [PERIOD] distinct [IMPLY] hurt [PERIOD] aggressive [IMPLY]...
Proof chain: hurt ⇒ careless careless ⇒ dull hurt ∧ vivacious ⇒ outrageous outrageous ⇒ distinct hurt ∧ vivacious ⇒ talented distinct ∧ talented ∧ hurt ⇒ perfect vivacious ∧ dull ∧ perfect ⇒ tidy
1
7
Facts: Batman is tense [PERIOD] Batman is cute [PERIOD] Batman is unpleasant [PERIOD] Batman is disgusted [PERIOD] Batman is difficult [PERIOD] Batman is fine [PERIOD] Batman is average [PERIOD] Rules: elegant [AND] troubled [IMPLY] difficult [PERIOD] fragile [IMPLY] sensible [PERIOD] cruel [IMPLY] fine [PERIOD] disho...
Proof chain: unpleasant ⇒ horrible horrible ∧ tense ⇒ dishonest dishonest ⇒ cruel unpleasant ⇒ horrible horrible ∧ tense ⇒ dishonest dishonest ⇒ clean cruel ∧ clean ∧ cute ⇒ messy
1
7
Facts: Batman is diplomatic [PERIOD] Rules: agreeable [AND] elegant [AND] bright [IMPLY] straightforward [PERIOD] gleaming [IMPLY] friendly [PERIOD] diplomatic [IMPLY] shy [PERIOD] gleaming [IMPLY] helpful [PERIOD] diplomatic [AND] hypocritical [IMPLY] straightforward [PERIOD] disobedient [IMPLY] lonely [PERIOD] brigh...
Proof chain: Cannot apply rule “agreeable ∧ elegant ∧ bright ⇒ straightforward” because missing: agreeable, elegant, bright. Cannot apply rule “diplomatic ∧ hypocritical ⇒ straightforward” because missing: hypocritical. Cannot apply rule “friendly ⇒ straightforward” because missing: friendly. Cannot apply r...
0
7
Facts: Batman is calm [PERIOD] Rules: good [AND] mysterious [IMPLY] confused [PERIOD] witty [AND] fancy [AND] gorgeous [IMPLY] straightforward [PERIOD] bright [IMPLY] confused [PERIOD] clumsy [IMPLY] elated [PERIOD] gorgeous [AND] agreeable [AND] fine [IMPLY] calm [PERIOD] clumsy [AND] good [IMPLY] fine [PERIOD] clums...
Proof chain: calm ⇒ bright bright ⇒ confused confused ⇒ witty calm ⇒ bright bright ⇒ confused witty ∧ confused ⇒ clumsy Cannot apply rule “clumsy ∧ horrible ⇒ agreeable” because missing: horrible.
0
7
Facts: Batman is ugliest [PERIOD] Batman is smart [PERIOD] Batman is unpleasant [PERIOD] Batman is shy [PERIOD] Batman is glamorous [PERIOD] Batman is precious [PERIOD] Batman is clumsy [PERIOD] Batman is thoughtful [PERIOD] Rules: cute [AND] glamorous [AND] friendly [IMPLY] gorgeous [PERIOD] hilarious [AND] famous [A...
Proof chain: clumsy ⇒ elated shy ∧ glamorous ⇒ bored shy ⇒ gorgeous elated ∧ bored ∧ gorgeous ⇒ difficult unpleasant ⇒ tender shy ∧ clumsy ⇒ muddy difficult ∧ tender ∧ muddy ⇒ silly
1
7
Facts: Batman is impartial [PERIOD] Batman is amused [PERIOD] Batman is powerful [PERIOD] Batman is diplomatic [PERIOD] Batman is crowded [PERIOD] Rules: amused [AND] anxious [AND] mysterious [IMPLY] jittery [PERIOD] mysterious [AND] bored [IMPLY] exuberant [PERIOD] impartial [IMPLY] impatient [PERIOD] anxious [AND] j...
Proof chain: Cannot apply rule “victorious ⇒ attentive” because missing: victorious. Cannot apply rule “bored ∧ jittery ∧ joyous ⇒ attentive” because missing: bored, jittery, joyous. Cannot apply rule “shy ∧ powerful ⇒ attentive” because missing: shy. impartial ⇒ impatient impatient ⇒ adorable adorabl...
0
7
Facts: Batman is spotless [PERIOD] Batman is frantic [PERIOD] Batman is impatient [PERIOD] Rules: troubled [IMPLY] bored [PERIOD] gleaming [AND] broad-minded [IMPLY] joyous [PERIOD] straightforward [AND] smart [IMPLY] bored [PERIOD] frantic [IMPLY] bored [PERIOD] smart [AND] joyous [AND] cooperative [IMPLY] spotless [...
Proof chain: Cannot apply rule “gleaming ∧ broad-minded ⇒ joyous” because missing: gleaming, broad-minded. Cannot apply rule “amused ∧ crowded ∧ impatient ⇒ joyous” because missing: amused, crowded. frantic ⇒ bored Cannot apply rule “helpful ∧ bored ⇒ joyous” because missing: helpful. Cannot apply rule “...
0
7
Facts: Batman is inexpensive [PERIOD] Batman is impatient [PERIOD] Batman is long [PERIOD] Rules: impatient [AND] worrisome [IMPLY] frantic [PERIOD] foolish [IMPLY] cute [PERIOD] combative [AND] loving [IMPLY] straightforward [PERIOD] stubborn [AND] straightforward [IMPLY] frantic [PERIOD] ugly [IMPLY] calm [PERIOD] z...
Proof chain: Cannot apply rule “wide-eyed ∧ worrisome ⇒ curious” because missing: wide-eyed, worrisome. Cannot apply rule “foolish ∧ jittery ⇒ curious” because missing: foolish, jittery. Cannot apply rule “jittery ⇒ curious” because missing: jittery. Cannot apply rule “impatient ∧ frail ∧ loving ⇒ curious” ...
0
7
Facts: Batman is polite [PERIOD] Batman is lucky [PERIOD] Batman is spotless [PERIOD] Rules: spotless [IMPLY] polite [PERIOD] grumpy [IMPLY] perfect [PERIOD] hilarious [AND] talkative [IMPLY] selfish [PERIOD] talkative [AND] hilarious [AND] strange [IMPLY] naughty [PERIOD] grumpy [IMPLY] anxious [PERIOD] lucky [AND] s...
Proof chain: lucky ∧ spotless ⇒ strange polite ⇒ zealous strange ∧ zealous ⇒ fearless fearless ∧ polite ⇒ grumpy lucky ⇒ talkative grumpy ∧ talkative ⇒ innocent innocent ∧ lucky ⇒ hilarious
1
7
Facts: Batman is mysterious [PERIOD] Batman is impartial [PERIOD] Batman is enchanting [PERIOD] Batman is jittery [PERIOD] Batman is lucky [PERIOD] Rules: witty [AND] hypocritical [AND] combative [IMPLY] enchanting [PERIOD] lucky [AND] sleepy [AND] horrible [IMPLY] witty [PERIOD] impartial [AND] jittery [AND] lucky [I...
Proof chain: mysterious ⇒ impatient impatient ∧ enchanting ∧ jittery ⇒ sleepy Cannot apply rule “lucky ∧ sleepy ∧ horrible ⇒ witty” because missing: horrible. mysterious ⇒ impatient impatient ∧ enchanting ∧ jittery ⇒ sleepy Cannot apply rule “horrible ∧ enchanting ∧ sleepy ⇒ witty” because missing: ho...
0
7
Facts: Rules: spotless [IMPLY] straightforward [PERIOD] spotless [AND] straightforward [AND] amused [IMPLY] clumsy [PERIOD] wrong [AND] rude [AND] tidy [IMPLY] amused [PERIOD] foolish [IMPLY] tidy [PERIOD] amused [AND] tidy [IMPLY] spotless [PERIOD] dull [AND] amused [IMPLY] foolish [PERIOD] rude [AND] dull [AND] plai...
Proof chain: Cannot apply rule “amused ∧ tidy ⇒ spotless” because missing: amused, tidy. Cannot apply rule “wrong ⇒ spotless” because missing: wrong. Cannot apply rule “clumsy ⇒ spotless” because missing: clumsy. Cannot apply rule “dull ⇒ spotless” because missing: dull. Cannot apply rule “rude ∧ plain ∧...
0
7
Facts: Batman is zealous [PERIOD] Batman is helpless [PERIOD] Batman is pleasant [PERIOD] Batman is rational [PERIOD] Batman is pessimistic [PERIOD] Batman is hypocritical [PERIOD] Batman is cooperative [PERIOD] Batman is glamorous [PERIOD] Batman is confident [PERIOD] Batman is witty [PERIOD] Rules: embarrassed [AND]...
Proof chain: glamorous ⇒ anxious anxious ⇒ lonely lonely ⇒ aggressive glamorous ⇒ anxious anxious ⇒ lonely lonely ⇒ comfortable Cannot apply rule “aggressive ∧ comfortable ∧ gorgeous ⇒ inexpensive” because missing: gorgeous.
0
7
Facts: Batman is loving [PERIOD] Batman is crowded [PERIOD] Rules: long [IMPLY] hurt [PERIOD] polite [AND] disgusted [AND] condemned [IMPLY] pessimistic [PERIOD] hurt [IMPLY] attractive [PERIOD] rude [AND] uptight [IMPLY] strange [PERIOD] disgusted [IMPLY] vivacious [PERIOD] curious [AND] long [AND] modern [IMPLY] lov...
Proof chain: crowded ⇒ rude crowded ⇒ rude rude ⇒ hurt hurt ⇒ attractive attractive ⇒ unpleasant rude ∧ unpleasant ⇒ shiny shiny ⇒ disgusted
1
7
Facts: Rules: selfish [IMPLY] inquisitive [PERIOD] sensible [AND] selfish [AND] enchanting [IMPLY] supportive [PERIOD] sensible [AND] foolish [IMPLY] bad-tempered [PERIOD] foolish [IMPLY] selfish [PERIOD] inquisitive [IMPLY] bad-tempered [PERIOD] supportive [AND] inquisitive [IMPLY] cooperative [PERIOD] sensible [AND]...
Proof chain: Cannot apply rule “foolish ⇒ selfish” because missing: foolish. Cannot apply rule “sensible ∧ frightened ∧ hurt ⇒ selfish” because missing: sensible, frightened, hurt. Cannot apply rule “supportive ⇒ selfish” because missing: supportive. Cannot apply rule “frightened ⇒ selfish” because missing:...
0
7
Facts: Batman is thoughtful [PERIOD] Batman is disobedient [PERIOD] Batman is horrible [PERIOD] Batman is clean [PERIOD] Rules: gleaming [IMPLY] fearless [PERIOD] gleaming [AND] dull [AND] perfect [IMPLY] excited [PERIOD] clean [AND] versatile [AND] grumpy [IMPLY] perfect [PERIOD] excited [AND] gleaming [IMPLY] stupid...
Proof chain: clean ⇒ tidy thoughtful ∧ tidy ∧ clean ⇒ versatile thoughtful ⇒ friendly disobedient ⇒ fearless friendly ∧ fearless ⇒ supportive disobedient ∧ supportive ⇒ grumpy clean ∧ versatile ∧ grumpy ⇒ perfect
1
7
Facts: Batman is hilarious [PERIOD] Rules: famous [AND] stubborn [IMPLY] worried [PERIOD] cute [AND] famous [IMPLY] hurt [PERIOD] stubborn [AND] famous [IMPLY] hurt [PERIOD] scared [AND] famous [AND] mean [IMPLY] hurt [PERIOD] pessimistic [AND] homely [IMPLY] powerful [PERIOD] pessimistic [IMPLY] homely [PERIOD] famou...
Proof chain: Cannot apply rule “cute ∧ famous ⇒ hurt” because missing: cute, famous. Cannot apply rule “stubborn ∧ famous ⇒ hurt” because missing: stubborn, famous. Cannot apply rule “scared ∧ famous ∧ mean ⇒ hurt” because missing: scared, famous, mean. Cannot apply rule “disgusted ⇒ hurt” because missing: ...
0
7
Facts: Rules: lonely [IMPLY] excited [PERIOD] lonely [AND] stupid [IMPLY] excited [PERIOD] stupid [AND] impartial [AND] enchanting [IMPLY] excited [PERIOD] stupid [AND] enchanting [AND] lonely [IMPLY] excited [PERIOD] lonely [AND] impartial [IMPLY] excited [PERIOD] lonely [AND] enchanting [IMPLY] excited [PERIOD] exci...
Proof chain: Cannot apply rule “lonely ⇒ excited” because missing: lonely. Cannot apply rule “lonely ∧ stupid ⇒ excited” because missing: lonely, stupid. Cannot apply rule “stupid ∧ impartial ∧ enchanting ⇒ excited” because missing: stupid, impartial, enchanting. Cannot apply rule “stupid ∧ enchanting ∧ lon...
0
7
Facts: Batman is uptight [PERIOD] Rules: famous [AND] rational [IMPLY] spotless [PERIOD] famous [AND] tidy [IMPLY] loving [PERIOD] good [IMPLY] rational [PERIOD] rational [AND] loving [AND] spotless [IMPLY] tidy [PERIOD] rational [IMPLY] uptight [PERIOD] famous [IMPLY] loving [PERIOD] rational [AND] tidy [AND] uptight...
Proof chain: Cannot apply rule “rational ∧ loving ∧ spotless ⇒ tidy” because missing: rational, loving, spotless. Cannot apply rule “good ∧ spotless ⇒ tidy” because missing: good, spotless. Cannot apply rule “famous ∧ rational ⇒ tidy” because missing: famous, rational. Cannot apply rule “good ∧ rational ∧ s...
0
7
Facts: Batman is tired [PERIOD] Rules: mean [AND] attractive [AND] inexpensive [IMPLY] comfortable [PERIOD] mean [IMPLY] vivacious [PERIOD] troubled [IMPLY] jittery [PERIOD] mean [AND] good [AND] frail [IMPLY] stubborn [PERIOD] foolish [AND] pleasant [AND] shy [IMPLY] average [PERIOD] gifted [AND] troubled [AND] helpf...
Proof chain: Cannot apply rule “vivacious ∧ frail ⇒ tender” because missing: vivacious, frail. Cannot apply rule “frail ⇒ tender” because missing: frail. Cannot apply rule “straightforward ∧ frail ⇒ tender” because missing: straightforward, frail. Cannot apply rule “mysterious ⇒ tender” because missing: mys...
0
7
Facts: Rules: naughty [AND] aggressive [IMPLY] broad-minded [PERIOD] glamorous [AND] lucky [IMPLY] rational [PERIOD] aggressive [AND] bossy [AND] beautiful [IMPLY] rude [PERIOD] aggressive [IMPLY] naughty [PERIOD] rational [AND] elated [AND] lucky [IMPLY] glamorous [PERIOD] old-fashioned [AND] talented [IMPLY] blushin...
Proof chain: Cannot apply rule “light ∧ uptight ⇒ elated” because missing: light, uptight. Cannot apply rule “innocent ⇒ elated” because missing: innocent. Cannot apply rule “naughty ⇒ elated” because missing: naughty. Cannot apply rule “charming ∧ broad-minded ∧ rational ⇒ elated” because missing: charming...
0
7
Facts: Batman is attractive [PERIOD] Batman is vivacious [PERIOD] Batman is amused [PERIOD] Rules: frantic [IMPLY] bossy [PERIOD] beautiful [AND] wrong [IMPLY] frantic [PERIOD] amused [IMPLY] rational [PERIOD] gifted [AND] beautiful [IMPLY] amused [PERIOD] stupid [AND] different [AND] ugly [IMPLY] gifted [PERIOD] ugly...
Proof chain: amused ⇒ rational rational ⇒ disgusted amused ⇒ bored amused ⇒ combative bored ∧ combative ⇒ stupid attractive ∧ disgusted ∧ stupid ⇒ long long ⇒ inexpensive
1
7
Facts: Batman is bright [PERIOD] Batman is selfish [PERIOD] Batman is attractive [PERIOD] Batman is shiny [PERIOD] Rules: selfish [AND] bored [IMPLY] cooperative [PERIOD] attractive [IMPLY] muddy [PERIOD] quaint [AND] confident [AND] spotless [IMPLY] wrong [PERIOD] quaint [AND] broad-minded [IMPLY] spotless [PERIOD] a...
Proof chain: attractive ⇒ muddy muddy ∧ bright ⇒ serious bright ⇒ scared serious ∧ scared ⇒ outrageous bright ⇒ scared scared ⇒ stubborn outrageous ∧ stubborn ⇒ nervous
1
7
Facts: Batman is sincere [PERIOD] Batman is unpleasant [PERIOD] Batman is blushing [PERIOD] Batman is different [PERIOD] Batman is wandering [PERIOD] Batman is popular [PERIOD] Batman is crowded [PERIOD] Batman is clumsy [PERIOD] Rules: crowded [AND] spotless [IMPLY] naughty [PERIOD] different [AND] lucky [AND] wander...
Proof chain: clumsy ⇒ enchanting wandering ∧ different ⇒ friendly blushing ∧ friendly ⇒ courageous enchanting ∧ courageous ∧ unpleasant ⇒ stormy stormy ∧ unpleasant ⇒ attractive wandering ∧ different ⇒ friendly attractive ∧ friendly ⇒ broad-minded
1
7
Facts: Batman is precious [PERIOD] Batman is crowded [PERIOD] Batman is talented [PERIOD] Batman is condemned [PERIOD] Batman is disobedient [PERIOD] Rules: disobedient [AND] light [IMPLY] condemned [PERIOD] silly [IMPLY] muddy [PERIOD] scared [AND] shy [IMPLY] light [PERIOD] versatile [IMPLY] shy [PERIOD] sincere [AN...
Proof chain: condemned ⇒ selfish selfish ⇒ light light ⇒ sincere condemned ∧ precious ⇒ glamorous condemned ⇒ selfish glamorous ∧ selfish ⇒ versatile sincere ∧ versatile ∧ crowded ⇒ tender
1
7
Facts: Batman is frail [PERIOD] Rules: enchanting [AND] aggressive [IMPLY] frail [PERIOD] bad-tempered [AND] beautiful [IMPLY] lucky [PERIOD] impatient [AND] lucky [IMPLY] joyous [PERIOD] wandering [AND] beautiful [AND] joyous [IMPLY] fancy [PERIOD] aggressive [IMPLY] strange [PERIOD] fancy [AND] bad-tempered [IMPLY] ...
Proof chain: Cannot apply rule “courageous ∧ enchanting ⇒ impatient” because missing: courageous, enchanting. Cannot apply rule “thoughtful ∧ frail ∧ unpleasant ⇒ impatient” because missing: thoughtful, unpleasant. Cannot apply rule “fragile ⇒ impatient” because missing: fragile. Cannot apply rule “wanderin...
0
7
Facts: Batman is worrisome [PERIOD] Batman is reserved [PERIOD] Rules: helpful [AND] worrisome [IMPLY] impatient [PERIOD] silly [AND] distinct [IMPLY] impatient [PERIOD] long [IMPLY] helpful [PERIOD] helpful [AND] worrisome [AND] reserved [IMPLY] impatient [PERIOD] distinct [AND] helpful [AND] impatient [IMPLY] talkat...
Proof chain: Cannot apply rule “helpful ⇒ distinct” because missing: helpful. worrisome ⇒ impatient Cannot apply rule “talkative ∧ impatient ∧ outstanding ⇒ distinct” because missing: talkative, outstanding. Cannot apply rule “long ∧ helpful ⇒ distinct” because missing: long, helpful. worrisome ⇒ impatie...
0
7
Facts: Rules: sleepy [AND] good [IMPLY] fragile [PERIOD] rude [AND] fragile [IMPLY] good [PERIOD] troubled [AND] sleepy [AND] blushing [IMPLY] good [PERIOD] blushing [AND] sleepy [IMPLY] good [PERIOD] fragile [AND] blushing [AND] rude [IMPLY] sleepy [PERIOD] rude [IMPLY] sleepy [PERIOD] good [AND] rude [IMPLY] sleepy ...
Proof chain: Cannot apply rule “fragile ∧ blushing ∧ rude ⇒ sleepy” because missing: fragile, blushing, rude. Cannot apply rule “rude ⇒ sleepy” because missing: rude. Cannot apply rule “good ∧ rude ⇒ sleepy” because missing: good, rude. Cannot apply rule “fragile ⇒ sleepy” because missing: fragile. Canno...
0
7
Facts: Batman is good [PERIOD] Rules: innocent [AND] bright [AND] elegant [IMPLY] vivacious [PERIOD] innocent [AND] lonely [AND] tired [IMPLY] bright [PERIOD] innocent [IMPLY] amused [PERIOD] lonely [AND] vivacious [AND] bright [IMPLY] tired [PERIOD] vivacious [AND] amused [AND] tired [IMPLY] helpless [PERIOD] lonely ...
Proof chain: Cannot apply rule “innocent ⇒ amused” because missing: innocent. Cannot apply rule “helpless ⇒ amused” because missing: helpless. Cannot apply rule “helpless ∧ good ∧ innocent ⇒ amused” because missing: helpless, innocent. Cannot apply rule “lonely ∧ elegant ⇒ amused” because missing: lonely, e...
0
7
Facts: Batman is impartial [PERIOD] Batman is charming [PERIOD] Batman is fine [PERIOD] Batman is impatient [PERIOD] Rules: gleaming [AND] thoughtful [AND] rude [IMPLY] fine [PERIOD] frail [IMPLY] friendly [PERIOD] bright [AND] pessimistic [IMPLY] impatient [PERIOD] silly [IMPLY] bright [PERIOD] frail [IMPLY] bossy [P...
Proof chain: impartial ⇒ cooperative cooperative ⇒ straightforward fine ⇒ bright impatient ⇒ old-fashioned old-fashioned ⇒ bossy straightforward ∧ bright ∧ bossy ⇒ frail frail ⇒ friendly
1
7
Facts: Batman is lonely [PERIOD] Batman is plain [PERIOD] Batman is cute [PERIOD] Batman is bored [PERIOD] Rules: plain [AND] cute [IMPLY] serious [PERIOD] frantic [AND] serious [IMPLY] ugliest [PERIOD] worried [AND] foolish [IMPLY] popular [PERIOD] hypocritical [IMPLY] bored [PERIOD] foolish [IMPLY] serious [PERIOD] ...
Proof chain: plain ∧ cute ⇒ serious serious ⇒ friendly cute ⇒ popular plain ∧ cute ⇒ serious serious ⇒ friendly popular ∧ friendly ⇒ dishonest friendly ∧ dishonest ⇒ bad-tempered
1
7
Facts: Batman is inexpensive [PERIOD] Batman is reserved [PERIOD] Rules: powerful [IMPLY] reserved [PERIOD] powerful [AND] reserved [IMPLY] friendly [PERIOD] friendly [IMPLY] powerful [PERIOD] friendly [IMPLY] inexpensive [PERIOD] bright [AND] lonely [AND] talented [IMPLY] powerful [PERIOD] bright [IMPLY] elated [PERI...
Proof chain: reserved ⇒ elated elated ⇒ lonely lonely ⇒ bright reserved ⇒ elated elated ⇒ lonely inexpensive ⇒ talented bright ∧ lonely ∧ talented ⇒ powerful
1
7
Facts: Batman is frightened [PERIOD] Batman is beautiful [PERIOD] Rules: ugly [AND] diplomatic [AND] polite [IMPLY] glamorous [PERIOD] old-fashioned [AND] frightened [IMPLY] glamorous [PERIOD] glamorous [IMPLY] polite [PERIOD] beautiful [AND] diplomatic [IMPLY] glamorous [PERIOD] old-fashioned [AND] careless [AND] ugl...
Proof chain: beautiful ⇒ tame tame ⇒ ugly Cannot apply rule “ugly ∧ diplomatic ∧ polite ⇒ glamorous” because missing: diplomatic, polite. Cannot apply rule “old-fashioned ∧ frightened ⇒ glamorous” because missing: old-fashioned. Cannot apply rule “beautiful ∧ diplomatic ⇒ glamorous” because missing: dipl...
0
7
Facts: Batman is tired [PERIOD] Batman is fearless [PERIOD] Batman is stupid [PERIOD] Batman is outrageous [PERIOD] Batman is fancy [PERIOD] Rules: bored [IMPLY] fancy [PERIOD] old-fashioned [AND] weary [IMPLY] ugly [PERIOD] bored [AND] tired [AND] old-fashioned [IMPLY] witty [PERIOD] clumsy [AND] crowded [AND] stupid...
Proof chain: fearless ∧ outrageous ∧ tired ⇒ cruel cruel ⇒ perfect fancy ⇒ crowded crowded ⇒ clumsy fancy ⇒ crowded clumsy ∧ crowded ∧ stupid ⇒ witty perfect ∧ witty ⇒ weary
1
7
Facts: Batman is versatile [PERIOD] Rules: frantic [IMPLY] versatile [PERIOD] stupid [IMPLY] blushing [PERIOD] tired [AND] bored [IMPLY] ambitious [PERIOD] thoughtful [IMPLY] worrisome [PERIOD] tense [IMPLY] frantic [PERIOD] average [AND] frantic [AND] blushing [IMPLY] tense [PERIOD] sincere [IMPLY] worrisome [PERIOD]...
Proof chain: Cannot apply rule “tense ∧ tired ∧ bored ⇒ reserved” because missing: tense, tired, bored. Cannot apply rule “blushing ∧ sincere ⇒ reserved” because missing: blushing, sincere. Cannot apply rule “bored ∧ versatile ⇒ reserved” because missing: bored. Cannot apply rule “attentive ⇒ reserved” beca...
0
7
Facts: Batman is attentive [PERIOD] Rules: plain [AND] cute [AND] talented [IMPLY] proud [PERIOD] precious [AND] attentive [IMPLY] versatile [PERIOD] impartial [IMPLY] average [PERIOD] sleepy [IMPLY] talented [PERIOD] good [AND] tense [AND] precious [IMPLY] pessimistic [PERIOD] gorgeous [IMPLY] fine [PERIOD] attentive...
Proof chain: attentive ⇒ pessimistic pessimistic ⇒ ugly attentive ⇒ pessimistic pessimistic ⇒ ugly ugly ⇒ impartial ugly ∧ impartial ⇒ homely homely ⇒ helpful
1
7
Facts: Batman is elegant [PERIOD] Batman is tense [PERIOD] Rules: distinct [IMPLY] muddy [PERIOD] attentive [IMPLY] selfish [PERIOD] calm [IMPLY] witty [PERIOD] stormy [IMPLY] selfish [PERIOD] light [IMPLY] combative [PERIOD] witty [AND] attractive [IMPLY] attentive [PERIOD] calm [IMPLY] tense [PERIOD] calm [AND] ligh...
Proof chain: elegant ⇒ attractive attractive ⇒ attentive attentive ⇒ fine fine ⇒ hilarious elegant ⇒ attractive attractive ⇒ attentive hilarious ∧ attentive ⇒ clumsy
1
7
Facts: Batman is sincere [PERIOD] Batman is helpful [PERIOD] Batman is quaint [PERIOD] Rules: shiny [AND] naughty [AND] helpful [IMPLY] ugliest [PERIOD] hurt [IMPLY] quaint [PERIOD] difficult [IMPLY] inexpensive [PERIOD] fragile [AND] bored [AND] hurt [IMPLY] inexpensive [PERIOD] fragile [AND] quaint [IMPLY] bored [PE...
Proof chain: quaint ⇒ difficult helpful ⇒ confused helpful ⇒ confused confused ⇒ ugliest confused ∧ ugliest ⇒ worrisome difficult ∧ worrisome ⇒ calm Cannot apply rule “calm ∧ cooperative ∧ hurt ⇒ zealous” because missing: cooperative, hurt.
0
7
Facts: Batman is anxious [PERIOD] Batman is bored [PERIOD] Batman is gorgeous [PERIOD] Batman is stormy [PERIOD] Rules: silly [AND] alert [AND] anxious [IMPLY] confident [PERIOD] elated [AND] helpless [IMPLY] charming [PERIOD] talented [AND] frail [AND] perfect [IMPLY] stormy [PERIOD] calm [AND] tame [AND] frail [IMPL...
Proof chain: stormy ⇒ impartial impartial ⇒ silly silly ⇒ fragile stormy ⇒ impartial impartial ⇒ confident confident ⇒ charming fragile ∧ stormy ∧ charming ⇒ calm
1
7
Facts: Batman is smart [PERIOD] Batman is confused [PERIOD] Batman is outstanding [PERIOD] Batman is popular [PERIOD] Rules: confused [AND] mysterious [IMPLY] enchanting [PERIOD] outstanding [AND] weary [IMPLY] naughty [PERIOD] serious [IMPLY] ugliest [PERIOD] mysterious [AND] outstanding [AND] old-fashioned [IMPLY] v...
Proof chain: confused ⇒ busy busy ⇒ ugliest confused ⇒ hurt ugliest ∧ hurt ∧ confused ⇒ naughty naughty ∧ popular ∧ smart ⇒ old-fashioned confused ⇒ hurt old-fashioned ∧ hurt ⇒ serious
1
7
Facts: Batman is quaint [PERIOD] Batman is foolish [PERIOD] Batman is grumpy [PERIOD] Batman is muddy [PERIOD] Batman is zealous [PERIOD] Rules: quaint [AND] careless [IMPLY] amused [PERIOD] hypocritical [AND] clumsy [AND] quaint [IMPLY] zealous [PERIOD] cruel [AND] careless [IMPLY] rude [PERIOD] helpless [IMPLY] worr...
Proof chain: foolish ∧ zealous ⇒ amused amused ∧ grumpy ⇒ bright foolish ∧ bright ⇒ vivacious vivacious ⇒ worried worried ⇒ shiny shiny ⇒ ambitious grumpy ∧ ambitious ⇒ precious
1
7
Facts: Batman is famous [PERIOD] Batman is adorable [PERIOD] Rules: witty [AND] pessimistic [AND] adorable [IMPLY] average [PERIOD] witty [AND] adorable [AND] spotless [IMPLY] grumpy [PERIOD] anxious [AND] grumpy [AND] cute [IMPLY] fine [PERIOD] good [AND] spotless [AND] intellectual [IMPLY] elegant [PERIOD] adorable ...
Proof chain: adorable ⇒ intellectual intellectual ∧ adorable ⇒ rational rational ⇒ pessimistic adorable ⇒ intellectual intellectual ∧ adorable ⇒ rational rational ⇒ spotless pessimistic ∧ adorable ∧ spotless ⇒ anxious
1
7
Facts: Batman is old-fashioned [PERIOD] Batman is worried [PERIOD] Batman is frightened [PERIOD] Batman is busy [PERIOD] Batman is embarrassed [PERIOD] Batman is fragile [PERIOD] Batman is outrageous [PERIOD] Batman is ugly [PERIOD] Batman is pessimistic [PERIOD] Rules: cute [AND] bright [AND] nervous [IMPLY] busy [PE...
Proof chain: Cannot apply rule “ugly ∧ cute ⇒ adorable” because missing: cute. pessimistic ⇒ naughty frightened ∧ old-fashioned ⇒ stormy stormy ⇒ thoughtful thoughtful ⇒ bright naughty ∧ ugly ∧ bright ⇒ sincere Cannot apply rule “sincere ∧ proud ⇒ adorable” because missing: proud.
0
7
Facts: Rules: tender [AND] frail [IMPLY] talkative [PERIOD] fearless [AND] horrible [IMPLY] shy [PERIOD] rational [AND] powerful [AND] fearless [IMPLY] stubborn [PERIOD] smart [AND] ugly [AND] average [IMPLY] fearless [PERIOD] talkative [AND] powerful [AND] tender [IMPLY] rude [PERIOD] frantic [AND] talkative [AND] sm...
Proof chain: Cannot apply rule “rational ∧ powerful ∧ fearless ⇒ stubborn” because missing: rational, powerful, fearless. Cannot apply rule “horrible ⇒ stubborn” because missing: horrible. Cannot apply rule “talkative ⇒ stubborn” because missing: talkative. Cannot apply rule “popular ∧ powerful ⇒ stubborn” ...
0
7
Facts: Batman is zealous [PERIOD] Batman is tense [PERIOD] Rules: disobedient [AND] spotless [IMPLY] sensible [PERIOD] bad-tempered [AND] zealous [AND] muddy [IMPLY] mysterious [PERIOD] hypocritical [IMPLY] wrong [PERIOD] shiny [AND] hypocritical [IMPLY] spotless [PERIOD] lucky [IMPLY] shiny [PERIOD] spotless [AND] sh...
Proof chain: Cannot apply rule “hypocritical ⇒ wrong” because missing: hypocritical. tense ⇒ troubled Cannot apply rule “troubled ∧ unpleasant ⇒ wrong” because missing: unpleasant. Cannot apply rule “bad-tempered ∧ unpleasant ∧ tense ⇒ wrong” because missing: bad-tempered, unpleasant. tense ⇒ troubled ...
0
7
Facts: Batman is frightened [PERIOD] Batman is hurt [PERIOD] Batman is uptight [PERIOD] Batman is wide-eyed [PERIOD] Rules: calm [AND] clumsy [IMPLY] blushing [PERIOD] uptight [AND] hilarious [AND] blushing [IMPLY] rude [PERIOD] clumsy [AND] frightened [IMPLY] calm [PERIOD] blushing [AND] calm [AND] charming [IMPLY] c...
Proof chain: hurt ⇒ rude frightened ∧ rude ⇒ blushing wide-eyed ⇒ cruel wide-eyed ⇒ reserved cruel ∧ reserved ⇒ tense uptight ⇒ outrageous blushing ∧ tense ∧ outrageous ⇒ frantic
1
7
Facts: Batman is unpleasant [PERIOD] Batman is innocent [PERIOD] Rules: embarrassed [AND] modern [IMPLY] vivacious [PERIOD] innocent [IMPLY] gorgeous [PERIOD] outrageous [AND] outstanding [IMPLY] sleepy [PERIOD] wide-eyed [AND] outstanding [IMPLY] distinct [PERIOD] distinct [AND] innocent [AND] aggressive [IMPLY] ugly...
Proof chain: innocent ⇒ gorgeous unpleasant ⇒ aggressive aggressive ⇒ famous unpleasant ⇒ aggressive aggressive ⇒ famous famous ⇒ anxious gorgeous ∧ famous ∧ anxious ⇒ difficult
1
7
Facts: Batman is bad-tempered [PERIOD] Rules: inquisitive [AND] ugliest [IMPLY] diplomatic [PERIOD] combative [AND] rude [IMPLY] fine [PERIOD] ambitious [AND] enchanting [IMPLY] disobedient [PERIOD] good [AND] ambitious [AND] broad-minded [IMPLY] rude [PERIOD] enchanting [IMPLY] disobedient [PERIOD] crowded [AND] stor...
Proof chain: Cannot apply rule “zealous ∧ shy ⇒ crowded” because missing: zealous, shy. Cannot apply rule “stormy ∧ zealous ∧ confused ⇒ crowded” because missing: stormy, zealous, confused. Cannot apply rule “elated ∧ bad-tempered ∧ fine ⇒ crowded” because missing: elated, fine. bad-tempered ⇒ disobedient ...
0
7
Facts: Batman is strange [PERIOD] Rules: enchanting [AND] strange [IMPLY] broad-minded [PERIOD] excited [AND] light [IMPLY] troubled [PERIOD] courageous [IMPLY] broad-minded [PERIOD] inquisitive [AND] sensible [IMPLY] bright [PERIOD] difficult [AND] scared [IMPLY] naughty [PERIOD] excited [IMPLY] mysterious [PERIOD] b...
Proof chain: Cannot apply rule “courageous ∧ inquisitive ⇒ polite” because missing: courageous, inquisitive. strange ⇒ messy Cannot apply rule “bright ∧ messy ⇒ polite” because missing: bright. Cannot apply rule “bright ∧ strange ∧ enchanting ⇒ polite” because missing: bright, enchanting. strange ⇒ exube...
0
7
Facts: Batman is lucky [PERIOD] Batman is vivacious [PERIOD] Rules: powerful [AND] blushing [IMPLY] naughty [PERIOD] popular [AND] powerful [AND] disgusted [IMPLY] lucky [PERIOD] blushing [AND] naughty [IMPLY] disgusted [PERIOD] blushing [AND] vivacious [AND] busy [IMPLY] beautiful [PERIOD] beautiful [AND] powerful [A...
Proof chain: Cannot apply rule “blushing ∧ naughty ⇒ disgusted” because missing: blushing, naughty. Cannot apply rule “blushing ∧ lucky ⇒ disgusted” because missing: blushing. Cannot apply rule “innocent ∧ blushing ∧ naughty ⇒ disgusted” because missing: innocent, blushing, naughty. Cannot apply rule “lucky...
0
7
Facts: Rules: lonely [AND] calm [AND] different [IMPLY] rational [PERIOD] difficult [IMPLY] troubled [PERIOD] calm [IMPLY] rational [PERIOD] different [IMPLY] difficult [PERIOD] troubled [IMPLY] calm [PERIOD] calm [AND] rational [IMPLY] troubled [PERIOD] rational [IMPLY] troubled [PERIOD] troubled [IMPLY] rational [PE...
Proof chain: Cannot apply rule “difficult ⇒ troubled” because missing: difficult. Cannot apply rule “calm ∧ rational ⇒ troubled” because missing: calm, rational. Cannot apply rule “rational ⇒ troubled” because missing: rational. Cannot apply rule “calm ∧ rational ∧ lonely ⇒ troubled” because missing: calm, ...
0
7
Facts: Batman is comfortable [PERIOD] Batman is careless [PERIOD] Batman is long [PERIOD] Batman is joyous [PERIOD] Batman is alert [PERIOD] Batman is outrageous [PERIOD] Batman is spotless [PERIOD] Batman is curious [PERIOD] Batman is tender [PERIOD] Batman is cooperative [PERIOD] Rules: long [AND] outrageous [IMPLY]...
Proof chain: comfortable ⇒ vivacious careless ∧ comfortable ∧ vivacious ⇒ attentive attentive ∧ alert ∧ cooperative ⇒ wide-eyed comfortable ⇒ vivacious curious ∧ vivacious ∧ comfortable ⇒ strange Cannot apply rule “wide-eyed ∧ strange ∧ ambitious ⇒ straightforward” because missing: ambitious. Canno...
0
7
Facts: Rules: elated [AND] stormy [IMPLY] supportive [PERIOD] serious [AND] gorgeous [AND] rational [IMPLY] stormy [PERIOD] curious [AND] combative [AND] fearless [IMPLY] cruel [PERIOD] ambitious [AND] pleasant [IMPLY] combative [PERIOD] nervous [AND] mean [AND] rational [IMPLY] thoughtless [PERIOD] powerful [AND] cur...
Proof chain: Cannot apply rule “curious ∧ combative ∧ fearless ⇒ cruel” because missing: curious, combative, fearless. Cannot apply rule “thoughtless ⇒ cruel” because missing: thoughtless. Cannot apply rule “talented ∧ gorgeous ∧ bossy ⇒ cruel” because missing: talented, gorgeous, bossy. Cannot apply rule “...
0
7
Facts: Batman is distinct [PERIOD] Rules: glamorous [AND] courageous [IMPLY] broad-minded [PERIOD] courageous [AND] wrong [IMPLY] fearless [PERIOD] glamorous [AND] old-fashioned [IMPLY] courageous [PERIOD] clumsy [AND] wrong [AND] glamorous [IMPLY] messy [PERIOD] fearless [AND] distinct [IMPLY] helpless [PERIOD] clums...
Proof chain: Cannot apply rule “glamorous ∧ old-fashioned ⇒ courageous” because missing: glamorous, old-fashioned. Cannot apply rule “messy ⇒ courageous” because missing: messy. Cannot apply rule “fancy ∧ clumsy ∧ old-fashioned ⇒ courageous” because missing: fancy, clumsy, old-fashioned. distinct ⇒ outstand...
0
7
Facts: Batman is talkative [PERIOD] Rules: gleaming [AND] unpleasant [AND] versatile [IMPLY] famous [PERIOD] sincere [AND] famous [IMPLY] gleaming [PERIOD] famous [AND] elegant [IMPLY] worried [PERIOD] distinct [AND] nervous [AND] talkative [IMPLY] versatile [PERIOD] distinct [AND] nervous [IMPLY] friendly [PERIOD] si...
Proof chain: talkative ⇒ hilarious Cannot apply rule “hilarious ∧ friendly ⇒ sincere” because missing: friendly. Cannot apply rule “friendly ∧ unpleasant ⇒ sincere” because missing: friendly, unpleasant. talkative ⇒ hilarious Cannot apply rule “hilarious ∧ versatile ∧ talkative ⇒ sincere” because missing...
0
7
Facts: Batman is distinct [PERIOD] Batman is ugliest [PERIOD] Batman is grumpy [PERIOD] Batman is zealous [PERIOD] Batman is average [PERIOD] Batman is vivacious [PERIOD] Batman is ugly [PERIOD] Rules: gifted [IMPLY] confused [PERIOD] vivacious [AND] modern [AND] clean [IMPLY] distinct [PERIOD] vivacious [IMPLY] confu...
Proof chain: grumpy ⇒ fancy fancy ⇒ exuberant average ⇒ easy vivacious ∧ easy ⇒ loving vivacious ⇒ confused exuberant ∧ loving ∧ confused ⇒ frightened frightened ∧ zealous ⇒ tame
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Facts: Batman is uptight [PERIOD] Rules: busy [AND] hurt [IMPLY] ambitious [PERIOD] beautiful [IMPLY] hurt [PERIOD] hurt [AND] busy [AND] ambitious [IMPLY] uptight [PERIOD] ambitious [AND] good [AND] bad-tempered [IMPLY] uptight [PERIOD] bad-tempered [AND] ambitious [AND] average [IMPLY] busy [PERIOD] good [AND] ambit...
Proof chain: Cannot apply rule “average ∧ uptight ⇒ beautiful” because missing: average. uptight ⇒ ambitious ambitious ⇒ busy uptight ⇒ ambitious ambitious ⇒ busy busy ⇒ bad-tempered Cannot apply rule “busy ∧ bad-tempered ∧ rational ⇒ beautiful” because missing: rational.
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Facts: Batman is worrisome [PERIOD] Rules: homely [AND] gifted [IMPLY] worrisome [PERIOD] clean [AND] tender [IMPLY] wide-eyed [PERIOD] wide-eyed [AND] naughty [AND] gifted [IMPLY] attractive [PERIOD] ugly [AND] disgusted [IMPLY] mysterious [PERIOD] spotless [AND] ugly [IMPLY] clean [PERIOD] naughty [AND] tender [IMPL...
Proof chain: Cannot apply rule “spotless ∧ ugly ⇒ clean” because missing: spotless, ugly. Cannot apply rule “stupid ∧ powerful ⇒ clean” because missing: stupid, powerful. Cannot apply rule “blushing ∧ helpless ∧ naughty ⇒ clean” because missing: blushing, helpless, naughty. Cannot apply rule “tender ⇒ clean...
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Facts: Batman is cruel [PERIOD] Batman is busy [PERIOD] Batman is pleasant [PERIOD] Batman is excited [PERIOD] Rules: wandering [IMPLY] cruel [PERIOD] clumsy [IMPLY] messy [PERIOD] condemned [AND] foolish [AND] lonely [IMPLY] wandering [PERIOD] excited [AND] thoughtless [AND] quaint [IMPLY] outrageous [PERIOD] excited...
Proof chain: busy ∧ cruel ⇒ mysterious mysterious ⇒ outrageous busy ∧ cruel ⇒ mysterious mysterious ⇒ sleepy cruel ∧ sleepy ⇒ dull dull ⇒ embarrassed excited ∧ outrageous ∧ embarrassed ⇒ wandering
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Facts: Rules: glamorous [AND] modern [IMPLY] blushing [PERIOD] modern [IMPLY] uptight [PERIOD] modern [AND] blushing [AND] exuberant [IMPLY] confident [PERIOD] shy [IMPLY] pleasant [PERIOD] shy [AND] thoughtless [AND] talented [IMPLY] exuberant [PERIOD] exuberant [AND] blushing [AND] pleasant [IMPLY] glamorous [PERIOD...
Proof chain: Cannot apply rule “shy ⇒ pleasant” because missing: shy. Cannot apply rule “exuberant ∧ shy ∧ thoughtless ⇒ pleasant” because missing: exuberant, shy, thoughtless. Cannot apply rule “modern ∧ thoughtless ∧ uptight ⇒ pleasant” because missing: modern, thoughtless, uptight. Cannot apply rule “tal...
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Facts: Rules: mean [IMPLY] impartial [PERIOD] tidy [AND] bright [AND] muddy [IMPLY] mean [PERIOD] impartial [AND] hilarious [AND] muddy [IMPLY] ambitious [PERIOD] muddy [IMPLY] impartial [PERIOD] impartial [IMPLY] blushing [PERIOD] hilarious [AND] muddy [IMPLY] disobedient [PERIOD] tidy [AND] muddy [AND] impartial [IM...
Proof chain: Cannot apply rule “hilarious ∧ muddy ⇒ disobedient” because missing: hilarious, muddy. Cannot apply rule “tidy ∧ muddy ∧ impartial ⇒ disobedient” because missing: tidy, muddy, impartial. Cannot apply rule “mean ∧ impartial ⇒ disobedient” because missing: mean, impartial. Cannot apply rule “blus...
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Facts: Batman is embarrassed [PERIOD] Batman is foolish [PERIOD] Batman is uptight [PERIOD] Rules: foolish [AND] ugly [IMPLY] homely [PERIOD] shiny [IMPLY] good [PERIOD] ugly [IMPLY] homely [PERIOD] good [IMPLY] homely [PERIOD] ugly [AND] good [AND] homely [IMPLY] dull [PERIOD] selfish [AND] smart [IMPLY] worrisome [P...
Proof chain: foolish ∧ uptight ⇒ witty foolish ∧ uptight ⇒ witty embarrassed ∧ witty ∧ uptight ⇒ smart smart ⇒ shiny shiny ⇒ good good ⇒ homely witty ∧ homely ⇒ supportive
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Facts: Batman is powerful [PERIOD] Batman is frantic [PERIOD] Batman is talented [PERIOD] Batman is serious [PERIOD] Rules: foolish [AND] talkative [AND] bright [IMPLY] sleepy [PERIOD] tender [AND] uptight [IMPLY] quaint [PERIOD] troubled [AND] exuberant [AND] bright [IMPLY] frantic [PERIOD] hypocritical [IMPLY] coura...
Proof chain: talented ⇒ exuberant talented ∧ exuberant ⇒ victorious victorious ⇒ bright talented ⇒ exuberant talented ∧ exuberant ⇒ victorious bright ∧ victorious ⇒ disobedient disobedient ⇒ blushing
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Facts: Batman is rude [PERIOD] Rules: ambitious [AND] foolish [AND] dull [IMPLY] stormy [PERIOD] stormy [IMPLY] ambitious [PERIOD] combative [AND] foolish [AND] loving [IMPLY] distinct [PERIOD] loving [AND] dull [IMPLY] fancy [PERIOD] foolish [IMPLY] distinct [PERIOD] rude [AND] stormy [AND] thoughtless [IMPLY] foolis...
Proof chain: rude ⇒ condemned rude ⇒ condemned condemned ⇒ fancy condemned ∧ fancy ⇒ distinct rude ⇒ condemned condemned ⇒ spotless distinct ∧ rude ∧ spotless ⇒ loving
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Facts: Batman is hypocritical [PERIOD] Batman is elated [PERIOD] Rules: inquisitive [AND] hypocritical [AND] excited [IMPLY] tame [PERIOD] stormy [IMPLY] frail [PERIOD] elated [AND] frail [IMPLY] lonely [PERIOD] worrisome [IMPLY] excited [PERIOD] excited [AND] hypocritical [AND] distinct [IMPLY] frail [PERIOD] worriso...
Proof chain: elated ⇒ worrisome elated ⇒ excited elated ⇒ excited excited ⇒ distinct excited ∧ hypocritical ∧ distinct ⇒ frail worrisome ∧ frail ⇒ tame tame ⇒ sincere
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Facts: Batman is worried [PERIOD] Rules: precious [AND] foolish [AND] worrisome [IMPLY] innocent [PERIOD] foolish [AND] stupid [IMPLY] pessimistic [PERIOD] witty [AND] pessimistic [IMPLY] sensible [PERIOD] horrible [AND] worried [IMPLY] confident [PERIOD] pessimistic [IMPLY] worried [PERIOD] confident [AND] horrible [...
Proof chain: Cannot apply rule “foolish ∧ stupid ⇒ pessimistic” because missing: foolish, stupid. Cannot apply rule “mysterious ⇒ pessimistic” because missing: mysterious. Cannot apply rule “crowded ⇒ pessimistic” because missing: crowded. Cannot apply rule “old-fashioned ∧ foolish ⇒ pessimistic” because mi...
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Facts: Rules: bright [AND] adorable [AND] disgusted [IMPLY] clumsy [PERIOD] helpless [AND] sincere [IMPLY] bright [PERIOD] agreeable [AND] adorable [IMPLY] bright [PERIOD] disgusted [IMPLY] ugliest [PERIOD] straightforward [IMPLY] disgusted [PERIOD] adorable [AND] disgusted [IMPLY] precious [PERIOD] clumsy [AND] adora...
Proof chain: Cannot apply rule “attractive ⇒ tired” because missing: attractive. Cannot apply rule “ugliest ∧ clumsy ∧ precious ⇒ tired” because missing: ugliest, clumsy, precious. Cannot apply rule “ugliest ∧ clumsy ∧ agreeable ⇒ tired” because missing: ugliest, clumsy, agreeable. Cannot apply rule “agreea...
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Facts: Batman is precious [PERIOD] Rules: pessimistic [AND] uptight [AND] gorgeous [IMPLY] precious [PERIOD] excited [IMPLY] pessimistic [PERIOD] modern [IMPLY] rude [PERIOD] helpful [AND] pleasant [AND] uptight [IMPLY] precious [PERIOD] excited [AND] precious [AND] pleasant [IMPLY] impartial [PERIOD] frail [AND] mode...
Proof chain: precious ⇒ impatient impatient ⇒ nervous nervous ⇒ rude precious ⇒ impatient impatient ⇒ nervous rude ∧ nervous ⇒ impartial impartial ⇒ modern
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Facts: Batman is fragile [PERIOD] Rules: attractive [AND] exuberant [IMPLY] fragile [PERIOD] messy [AND] different [AND] average [IMPLY] bored [PERIOD] gleaming [AND] sincere [IMPLY] bored [PERIOD] messy [IMPLY] alert [PERIOD] sincere [AND] gleaming [AND] bored [IMPLY] fragile [PERIOD] attentive [AND] bored [AND] glea...
Proof chain: fragile ⇒ perfect perfect ⇒ average average ⇒ attractive attractive ⇒ alert Cannot apply rule “alert ∧ attentive ⇒ messy” because missing: attentive. fragile ⇒ perfect Cannot apply rule “perfect ∧ gleaming ⇒ messy” because missing: gleaming.
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Facts: Batman is perfect [PERIOD] Batman is inquisitive [PERIOD] Rules: glamorous [AND] calm [IMPLY] beautiful [PERIOD] amused [AND] spotless [IMPLY] proud [PERIOD] fearless [IMPLY] calm [PERIOD] calm [IMPLY] beautiful [PERIOD] proud [AND] amused [IMPLY] messy [PERIOD] glamorous [IMPLY] confident [PERIOD] inquisitive ...
Proof chain: inquisitive ⇒ calm inquisitive ⇒ calm inquisitive ⇒ calm calm ⇒ beautiful beautiful ⇒ amused calm ∧ amused ⇒ inexpensive calm ∧ inexpensive ∧ perfect ⇒ spotless
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