Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is sincere [PERIOD] Batman is impatient [PERIOD] Rules: crowded [AND] curious [IMPLY] bored [PERIOD] enchanting [IMPLY] naughty [PERIOD] naughty [AND] victorious [IMPLY] dull [PERIOD] stormy [AND] impatient [AND] ambitious [IMPLY] mysterious [PERIOD] stormy [IMPLY] selfish [PERIOD] ambitious [IMPLY] dull...
Proof chain: impatient ⇒ naughty impatient ⇒ naughty naughty ⇒ ambitious impatient ⇒ selfish ambitious ∧ selfish ∧ impatient ⇒ crowded impatient ⇒ naughty naughty ⇒ ambitious ambitious ⇒ dull impatient ⇒ naughty dull ∧ naughty ∧ impatient ⇒ stormy naughty ∧ crowded ∧ stormy ⇒ bored
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11
Facts: Batman is mean [PERIOD] Rules: serious [IMPLY] enchanting [PERIOD] bossy [AND] supportive [AND] serious [IMPLY] disobedient [PERIOD] exuberant [AND] mean [AND] bossy [IMPLY] disobedient [PERIOD] supportive [AND] exuberant [AND] bossy [IMPLY] zealous [PERIOD] confident [AND] hilarious [AND] mean [IMPLY] serious ...
Proof chain: mean ⇒ supportive supportive ⇒ careless careless ⇒ enchanting mean ∧ enchanting ⇒ zealous mean ⇒ supportive supportive ⇒ careless careless ⇒ enchanting zealous ∧ enchanting ⇒ confident mean ⇒ stormy stormy ⇒ exuberant Cannot apply rule “serious ∧ confident ∧ exuberant ⇒ bos...
0
11
Facts: Batman is muddy [PERIOD] Batman is ugliest [PERIOD] Batman is impatient [PERIOD] Batman is diplomatic [PERIOD] Batman is confused [PERIOD] Rules: diplomatic [AND] sensible [AND] hypocritical [IMPLY] gleaming [PERIOD] muddy [IMPLY] tidy [PERIOD] aggressive [AND] ugliest [IMPLY] bossy [PERIOD] outstanding [IMPLY]...
Proof chain: confused ⇒ famous muddy ⇒ tidy tidy ⇒ careless careless ⇒ cute diplomatic ∧ famous ∧ cute ⇒ hypocritical hypocritical ⇒ bossy muddy ⇒ tidy tidy ⇒ careless careless ⇒ cute bossy ∧ cute ⇒ alert impatient ∧ diplomatic ∧ alert ⇒ outstanding
1
11
Facts: Batman is rude [PERIOD] Batman is frantic [PERIOD] Batman is famous [PERIOD] Rules: lucky [AND] frantic [IMPLY] impatient [PERIOD] comfortable [AND] stubborn [IMPLY] frantic [PERIOD] impatient [IMPLY] wrong [PERIOD] comfortable [AND] disgusted [AND] friendly [IMPLY] rude [PERIOD] friendly [AND] disgusted [IMPLY...
Proof chain: rude ⇒ comfortable rude ∧ comfortable ⇒ disgusted famous ∧ rude ⇒ stubborn disgusted ∧ stubborn ⇒ broad-minded broad-minded ⇒ wrong rude ⇒ comfortable rude ∧ comfortable ⇒ disgusted famous ∧ rude ⇒ stubborn disgusted ∧ stubborn ⇒ broad-minded broad-minded ∧ rude ⇒ impatient ...
1
11
Facts: Batman is elated [PERIOD] Rules: stubborn [AND] condemned [AND] wrong [IMPLY] disobedient [PERIOD] stubborn [AND] disobedient [AND] condemned [IMPLY] wrong [PERIOD] condemned [AND] disobedient [IMPLY] stubborn [PERIOD] elated [AND] wrong [AND] stubborn [IMPLY] disobedient [PERIOD] disobedient [AND] elated [AND]...
Proof chain: elated ⇒ wrong Cannot apply rule “stubborn ∧ condemned ∧ wrong ⇒ disobedient” because missing: stubborn, condemned. elated ⇒ wrong Cannot apply rule “elated ∧ wrong ∧ stubborn ⇒ disobedient” because missing: stubborn. Cannot apply rule “elated ∧ stubborn ⇒ disobedient” because missing: stubb...
0
11
Facts: Batman is straightforward [PERIOD] Batman is adorable [PERIOD] Batman is wrong [PERIOD] Batman is careless [PERIOD] Rules: good [AND] sleepy [AND] careless [IMPLY] unpleasant [PERIOD] good [AND] charming [AND] adorable [IMPLY] straightforward [PERIOD] spotless [AND] reserved [IMPLY] glamorous [PERIOD] reserved ...
Proof chain: Cannot apply rule “glamorous ⇒ alert” because missing: glamorous. Cannot apply rule “gifted ∧ glamorous ∧ good ⇒ alert” because missing: gifted, glamorous, good. straightforward ⇒ elegant elegant ∧ straightforward ⇒ sleepy wrong ∧ sleepy ∧ careless ⇒ smart smart ⇒ polite straightforwar...
0
11
Facts: Batman is confused [PERIOD] Batman is elated [PERIOD] Batman is disgusted [PERIOD] Rules: messy [AND] alert [AND] impatient [IMPLY] sensible [PERIOD] rational [AND] perfect [AND] tired [IMPLY] outrageous [PERIOD] inquisitive [AND] combative [AND] alert [IMPLY] thoughtful [PERIOD] disgusted [AND] powerful [AND] ...
Proof chain: confused ⇒ muddy elated ⇒ distinct muddy ∧ distinct ⇒ powerful powerful ⇒ inquisitive inquisitive ∧ confused ⇒ rational rational ⇒ difficult difficult ∧ disgusted ∧ confused ⇒ tired confused ⇒ muddy elated ⇒ distinct muddy ∧ distinct ⇒ powerful tired ∧ powerful ⇒ outrageous...
1
11
Facts: Batman is average [PERIOD] Batman is helpful [PERIOD] Rules: weary [AND] bright [AND] supportive [IMPLY] witty [PERIOD] average [AND] jittery [AND] straightforward [IMPLY] weary [PERIOD] witty [AND] supportive [AND] bright [IMPLY] weary [PERIOD] witty [AND] helpful [AND] calm [IMPLY] average [PERIOD] tender [IM...
Proof chain: average ⇒ weary average ⇒ weary weary ⇒ jittery jittery ⇒ good good ⇒ bright Cannot apply rule “weary ∧ bright ∧ supportive ⇒ witty” because missing: supportive. average ⇒ weary weary ⇒ jittery jittery ⇒ good Cannot apply rule “calm ∧ clean ∧ good ⇒ witty” because missing: cal...
0
11
Facts: Batman is busy [PERIOD] Batman is distinct [PERIOD] Batman is powerful [PERIOD] Batman is zealous [PERIOD] Rules: beautiful [AND] powerful [AND] selfish [IMPLY] dishonest [PERIOD] grumpy [AND] uptight [IMPLY] jittery [PERIOD] pessimistic [AND] grumpy [AND] selfish [IMPLY] bright [PERIOD] grumpy [IMPLY] busy [PE...
Proof chain: busy ⇒ weary weary ∧ powerful ⇒ pessimistic distinct ⇒ dishonest pessimistic ∧ dishonest ⇒ selfish zealous ⇒ glamorous busy ⇒ weary weary ∧ powerful ⇒ pessimistic glamorous ∧ busy ∧ pessimistic ⇒ rude powerful ⇒ grumpy selfish ∧ rude ∧ grumpy ⇒ wandering wandering ⇒ tired
1
11
Facts: Batman is hilarious [PERIOD] Batman is good [PERIOD] Rules: comfortable [AND] tired [IMPLY] horrible [PERIOD] vivacious [IMPLY] perfect [PERIOD] horrible [IMPLY] vivacious [PERIOD] reserved [AND] tense [AND] horrible [IMPLY] cruel [PERIOD] distinct [AND] worried [AND] horrible [IMPLY] shy [PERIOD] talkative [AN...
Proof chain: hilarious ⇒ innocent innocent ⇒ vivacious vivacious ⇒ perfect perfect ⇒ cruel cruel ⇒ reserved hilarious ⇒ innocent innocent ⇒ vivacious reserved ∧ vivacious ⇒ unpleasant unpleasant ⇒ comfortable comfortable ⇒ outstanding outstanding ⇒ tense
1
11
Facts: Batman is wide-eyed [PERIOD] Batman is crowded [PERIOD] Rules: thoughtful [AND] quaint [IMPLY] difficult [PERIOD] popular [AND] thoughtful [IMPLY] serious [PERIOD] blushing [AND] quaint [AND] difficult [IMPLY] wrong [PERIOD] popular [IMPLY] thoughtful [PERIOD] serious [AND] smart [IMPLY] crowded [PERIOD] wrong ...
Proof chain: wide-eyed ⇒ lonely lonely ⇒ difficult wide-eyed ⇒ beautiful difficult ∧ beautiful ⇒ blushing Cannot apply rule “enchanting ∧ blushing ⇒ loving” because missing: enchanting. Cannot apply rule “horrible ∧ weary ⇒ loving” because missing: horrible, weary. wide-eyed ⇒ beautiful Cannot a...
0
11
Facts: Rules: long [AND] stormy [IMPLY] anxious [PERIOD] rude [AND] zealous [IMPLY] good [PERIOD] charming [IMPLY] good [PERIOD] tired [IMPLY] silly [PERIOD] agreeable [IMPLY] cruel [PERIOD] rude [AND] stormy [IMPLY] glamorous [PERIOD] charming [AND] agreeable [IMPLY] tense [PERIOD] careless [AND] long [IMPLY] dishone...
Proof chain: Cannot apply rule “ugly ∧ witty ∧ anxious ⇒ calm” because missing: ugly, witty, anxious. Cannot apply rule “gifted ∧ charming ∧ zealous ⇒ calm” because missing: gifted, charming, zealous. Cannot apply rule “helpless ∧ ugly ∧ silly ⇒ calm” because missing: helpless, ugly, silly. Cannot apply rul...
0
11
Facts: Batman is clumsy [PERIOD] Batman is different [PERIOD] Rules: anxious [IMPLY] bored [PERIOD] calm [AND] enchanting [AND] stubborn [IMPLY] different [PERIOD] outstanding [IMPLY] rude [PERIOD] gifted [IMPLY] versatile [PERIOD] stubborn [AND] fragile [IMPLY] reserved [PERIOD] condemned [AND] talented [IMPLY] stubb...
Proof chain: Cannot apply rule “versatile ∧ gifted ⇒ condemned” because missing: versatile, gifted. Cannot apply rule “anxious ∧ calm ∧ clumsy ⇒ condemned” because missing: anxious, calm. Cannot apply rule “bored ∧ anxious ⇒ condemned” because missing: bored, anxious. different ⇒ talkative talkative ⇒ bo...
0
11
Facts: Batman is lonely [PERIOD] Batman is difficult [PERIOD] Rules: hilarious [IMPLY] quaint [PERIOD] difficult [AND] frail [AND] lonely [IMPLY] excited [PERIOD] quaint [IMPLY] difficult [PERIOD] charming [AND] difficult [AND] diplomatic [IMPLY] hilarious [PERIOD] powerful [IMPLY] sincere [PERIOD] hilarious [AND] dip...
Proof chain: Cannot apply rule “powerful ⇒ sincere” because missing: powerful. Cannot apply rule “amused ∧ difficult ∧ hilarious ⇒ sincere” because missing: amused, hilarious. Cannot apply rule “lonely ∧ diplomatic ⇒ sincere” because missing: diplomatic. difficult ⇒ excited excited ⇒ quaint Cannot app...
0
11
Facts: Batman is vivacious [PERIOD] Rules: talented [AND] condemned [AND] tense [IMPLY] beautiful [PERIOD] sleepy [IMPLY] sincere [PERIOD] beautiful [AND] grumpy [AND] disobedient [IMPLY] cooperative [PERIOD] straightforward [IMPLY] talkative [PERIOD] beautiful [AND] sleepy [AND] vivacious [IMPLY] joyous [PERIOD] slee...
Proof chain: Cannot apply rule “tidy ∧ beautiful ⇒ grumpy” because missing: tidy, beautiful. vivacious ⇒ condemned Cannot apply rule “condemned ∧ intellectual ∧ beautiful ⇒ grumpy” because missing: intellectual, beautiful. vivacious ⇒ condemned condemned ⇒ talented Cannot apply rule “tame ∧ talented ∧...
0
11
Facts: Batman is nervous [PERIOD] Batman is bossy [PERIOD] Batman is joyous [PERIOD] Batman is intellectual [PERIOD] Batman is proud [PERIOD] Batman is cruel [PERIOD] Rules: bored [IMPLY] glamorous [PERIOD] bored [IMPLY] elated [PERIOD] elated [AND] distinct [AND] powerful [IMPLY] proud [PERIOD] tired [AND] pleasant [...
Proof chain: intellectual ⇒ mysterious joyous ⇒ tired cruel ∧ nervous ∧ intellectual ⇒ ambitious cruel ∧ bossy ⇒ sincere ambitious ∧ sincere ⇒ pleasant tired ∧ pleasant ⇒ strange strange ∧ nervous ⇒ troubled cruel ∧ bossy ⇒ sincere sincere ⇒ disobedient mysterious ∧ troubled ∧ disobedient ...
0
11
Facts: Batman is precious [PERIOD] Batman is gleaming [PERIOD] Rules: wide-eyed [AND] hurt [AND] wandering [IMPLY] ugliest [PERIOD] fine [AND] outrageous [AND] alert [IMPLY] gleaming [PERIOD] jittery [AND] glamorous [IMPLY] diplomatic [PERIOD] wide-eyed [AND] diplomatic [IMPLY] mysterious [PERIOD] wide-eyed [AND] dipl...
Proof chain: gleaming ⇒ wide-eyed gleaming ⇒ wide-eyed wide-eyed ⇒ hurt gleaming ⇒ wide-eyed precious ∧ wide-eyed ⇒ alert gleaming ⇒ wide-eyed wide-eyed ⇒ hurt alert ∧ gleaming ∧ hurt ⇒ crowded crowded ⇒ wandering wide-eyed ∧ hurt ∧ wandering ⇒ ugliest ugliest ⇒ witty
1
11
Facts: Batman is difficult [PERIOD] Rules: inquisitive [AND] unpleasant [AND] condemned [IMPLY] rational [PERIOD] aggressive [AND] outrageous [IMPLY] difficult [PERIOD] light [AND] glamorous [IMPLY] cute [PERIOD] glamorous [IMPLY] unpleasant [PERIOD] reserved [AND] victorious [AND] glamorous [IMPLY] disgusted [PERIOD]...
Proof chain: difficult ⇒ rational rational ⇒ reserved reserved ⇒ cute cute ⇒ aggressive difficult ⇒ rational rational ⇒ reserved difficult ⇒ rational rational ⇒ glamorous glamorous ⇒ unpleasant unpleasant ⇒ pleasant aggressive ∧ reserved ∧ pleasant ⇒ fearless
1
11
Facts: Batman is long [PERIOD] Batman is hurt [PERIOD] Batman is homely [PERIOD] Batman is wrong [PERIOD] Batman is distinct [PERIOD] Rules: homely [AND] long [AND] hypocritical [IMPLY] wrong [PERIOD] hypocritical [AND] rational [IMPLY] long [PERIOD] homely [IMPLY] rational [PERIOD] long [IMPLY] hurt [PERIOD] intellec...
Proof chain: Cannot apply rule “disobedient ∧ intellectual ∧ nervous ⇒ blushing” because missing: disobedient, intellectual, nervous. Cannot apply rule “disobedient ⇒ blushing” because missing: disobedient. homely ⇒ rational wrong ∧ rational ⇒ hypocritical Cannot apply rule “intellectual ∧ hypocritical ∧...
0
11
Facts: Batman is frantic [PERIOD] Batman is long [PERIOD] Batman is elated [PERIOD] Rules: horrible [AND] long [AND] frantic [IMPLY] troubled [PERIOD] enchanting [AND] troubled [IMPLY] muddy [PERIOD] loving [IMPLY] horrible [PERIOD] troubled [IMPLY] frantic [PERIOD] muddy [IMPLY] horrible [PERIOD] frightened [AND] tro...
Proof chain: frantic ∧ elated ⇒ frightened frantic ∧ frightened ⇒ loving frantic ∧ elated ⇒ frightened frantic ∧ frightened ⇒ loving loving ⇒ horrible horrible ∧ long ∧ frantic ⇒ troubled frantic ∧ elated ⇒ frightened frantic ∧ frightened ⇒ loving loving ⇒ horrible loving ∧ troubled ∧ horr...
0
11
Facts: Rules: jittery [IMPLY] clean [PERIOD] charming [AND] foolish [AND] old-fashioned [IMPLY] naughty [PERIOD] helpless [AND] jittery [AND] clean [IMPLY] sincere [PERIOD] sincere [IMPLY] naughty [PERIOD] naughty [AND] clean [IMPLY] adorable [PERIOD] jittery [IMPLY] adorable [PERIOD] sincere [AND] inexpensive [AND] c...
Proof chain: Cannot apply rule “charming ∧ foolish ∧ old-fashioned ⇒ naughty” because missing: charming, foolish, old-fashioned. Cannot apply rule “sincere ⇒ naughty” because missing: sincere. Cannot apply rule “helpless ∧ weary ∧ messy ⇒ naughty” because missing: helpless, weary, messy. Cannot apply rule “...
0
11
Facts: Batman is inquisitive [PERIOD] Batman is mysterious [PERIOD] Batman is scared [PERIOD] Rules: sincere [IMPLY] proud [PERIOD] mysterious [AND] blushing [IMPLY] cute [PERIOD] mysterious [AND] cute [IMPLY] proud [PERIOD] mysterious [AND] intellectual [AND] glamorous [IMPLY] bad-tempered [PERIOD] ugly [AND] bad-tem...
Proof chain: mysterious ⇒ careless scared ⇒ cute careless ∧ cute ⇒ glamorous mysterious ⇒ careless glamorous ∧ inquisitive ∧ careless ⇒ gifted scared ⇒ intellectual mysterious ⇒ careless scared ⇒ cute careless ∧ cute ⇒ glamorous mysterious ∧ intellectual ∧ glamorous ⇒ bad-tempered gifte...
1
11
Facts: Batman is inexpensive [PERIOD] Batman is average [PERIOD] Batman is silly [PERIOD] Rules: agreeable [IMPLY] elated [PERIOD] silly [IMPLY] inexpensive [PERIOD] outrageous [AND] frantic [IMPLY] agreeable [PERIOD] bright [AND] troubled [IMPLY] outrageous [PERIOD] agreeable [AND] frightened [IMPLY] supportive [PERI...
Proof chain: average ⇒ bright bright ⇒ comfortable average ⇒ bright bright ⇒ innocent comfortable ∧ innocent ∧ average ⇒ outrageous average ⇒ bright bright ⇒ innocent innocent ⇒ frantic outrageous ∧ frantic ⇒ agreeable agreeable ⇒ elated elated ∧ average ⇒ frightened
1
11
Facts: Batman is friendly [PERIOD] Rules: precious [IMPLY] quaint [PERIOD] aggressive [AND] crowded [AND] talented [IMPLY] sleepy [PERIOD] beautiful [IMPLY] rational [PERIOD] talented [AND] beautiful [AND] quaint [IMPLY] precious [PERIOD] aggressive [AND] precious [IMPLY] stubborn [PERIOD] rational [AND] weary [IMPLY]...
Proof chain: friendly ⇒ impatient impatient ⇒ sleepy sleepy ⇒ stubborn friendly ⇒ impatient impatient ⇒ sleepy sleepy ⇒ selfish friendly ⇒ impatient impatient ⇒ sleepy sleepy ⇒ selfish selfish ⇒ beautiful stubborn ∧ selfish ∧ beautiful ⇒ homely
1
11
Facts: Batman is stormy [PERIOD] Batman is courageous [PERIOD] Rules: loving [IMPLY] broad-minded [PERIOD] plain [AND] stormy [AND] homely [IMPLY] worried [PERIOD] glamorous [AND] frantic [AND] stormy [IMPLY] helpless [PERIOD] worried [AND] loving [AND] perfect [IMPLY] combative [PERIOD] victorious [AND] disgusted [AN...
Proof chain: courageous ⇒ broad-minded broad-minded ⇒ loving loving ⇒ condemned condemned ⇒ unpleasant courageous ⇒ broad-minded broad-minded ⇒ loving unpleasant ∧ loving ⇒ mean mean ⇒ glamorous Cannot apply rule “disgusted ∧ glamorous ∧ frantic ⇒ inquisitive” because missing: disgusted, fran...
0
11
Facts: Batman is clumsy [PERIOD] Batman is weary [PERIOD] Batman is elated [PERIOD] Batman is good [PERIOD] Batman is curious [PERIOD] Rules: worrisome [AND] alert [AND] curious [IMPLY] precious [PERIOD] alert [AND] elegant [AND] tidy [IMPLY] confused [PERIOD] good [IMPLY] clumsy [PERIOD] alert [AND] talented [IMPLY] ...
Proof chain: weary ⇒ enchanting curious ⇒ zealous zealous ⇒ worrisome worrisome ⇒ wandering enchanting ∧ wandering ∧ weary ⇒ intellectual weary ⇒ enchanting curious ⇒ zealous zealous ∧ curious ⇒ grumpy grumpy ⇒ loving intellectual ∧ enchanting ∧ loving ⇒ aggressive aggressive ⇒ inquisit...
1
11
Facts: Batman is sleepy [PERIOD] Batman is rude [PERIOD] Rules: outrageous [IMPLY] courageous [PERIOD] talented [AND] lucky [IMPLY] combative [PERIOD] intellectual [AND] old-fashioned [AND] good [IMPLY] curious [PERIOD] clumsy [AND] curious [IMPLY] stubborn [PERIOD] intellectual [IMPLY] unpleasant [PERIOD] old-fashion...
Proof chain: Cannot apply rule “curious ∧ amused ∧ rude ⇒ intellectual” because missing: curious, amused. sleepy ⇒ lucky lucky ⇒ hurt hurt ⇒ combative Cannot apply rule “combative ∧ stubborn ∧ excited ⇒ intellectual” because missing: stubborn, excited. sleepy ⇒ lucky lucky ⇒ hurt hurt ⇒ combativ...
0
11
Facts: Batman is disgusted [PERIOD] Batman is polite [PERIOD] Batman is impatient [PERIOD] Batman is lonely [PERIOD] Batman is amused [PERIOD] Batman is smart [PERIOD] Rules: thoughtful [AND] spotless [IMPLY] polite [PERIOD] embarrassed [AND] disgusted [IMPLY] silly [PERIOD] gleaming [AND] fearless [AND] impatient [IM...
Proof chain: amused ⇒ gleaming polite ⇒ fearless gleaming ∧ fearless ∧ impatient ⇒ frantic lonely ⇒ joyous polite ⇒ fearless amused ⇒ gleaming joyous ∧ fearless ∧ gleaming ⇒ modern modern ⇒ naughty amused ∧ disgusted ∧ naughty ⇒ worrisome Cannot apply rule “frantic ∧ worrisome ∧ thoughtful...
0
11
Facts: Batman is helpless [PERIOD] Batman is perfect [PERIOD] Rules: thoughtful [IMPLY] dishonest [PERIOD] good [AND] thoughtful [AND] dishonest [IMPLY] smart [PERIOD] quaint [AND] worried [AND] smart [IMPLY] perfect [PERIOD] confident [IMPLY] glamorous [PERIOD] thoughtful [AND] light [AND] distinct [IMPLY] difficult ...
Proof chain: helpless ⇒ dishonest dishonest ⇒ sleepy sleepy ⇒ smart helpless ⇒ good good ⇒ broad-minded broad-minded ⇒ grumpy grumpy ⇒ hilarious smart ∧ hilarious ⇒ inquisitive helpless ⇒ dishonest dishonest ⇒ sleepy Cannot apply rule “inquisitive ∧ ambitious ∧ sleepy ⇒ bossy” because m...
0
11
Facts: Batman is blushing [PERIOD] Batman is selfish [PERIOD] Batman is famous [PERIOD] Rules: curious [AND] bossy [AND] thoughtless [IMPLY] blushing [PERIOD] easy [IMPLY] thoughtful [PERIOD] foolish [AND] ugliest [AND] smart [IMPLY] elated [PERIOD] bossy [AND] rational [IMPLY] selfish [PERIOD] foolish [AND] easy [IMP...
Proof chain: selfish ⇒ cruel famous ∧ cruel ⇒ bossy bossy ⇒ rational blushing ∧ rational ⇒ good selfish ⇒ cruel selfish ⇒ cruel famous ∧ cruel ⇒ bossy cruel ∧ bossy ⇒ clumsy clumsy ⇒ curious famous ⇒ different good ∧ curious ∧ different ⇒ thoughtless
1
11
Facts: Batman is pleasant [PERIOD] Batman is mean [PERIOD] Rules: bad-tempered [AND] frantic [AND] outrageous [IMPLY] stormy [PERIOD] difficult [AND] stormy [AND] wrong [IMPLY] fine [PERIOD] crowded [IMPLY] glamorous [PERIOD] fine [IMPLY] clean [PERIOD] joyous [AND] glamorous [IMPLY] average [PERIOD] crowded [AND] sto...
Proof chain: mean ⇒ quaint quaint ∧ mean ⇒ crowded crowded ⇒ glamorous Cannot apply rule “joyous ∧ glamorous ⇒ average” because missing: joyous. mean ⇒ quaint quaint ∧ mean ⇒ crowded mean ⇒ quaint quaint ∧ mean ⇒ crowded crowded ⇒ glamorous glamorous ⇒ supportive Cannot apply rule “outr...
0
11
Facts: Batman is gifted [PERIOD] Batman is muddy [PERIOD] Batman is messy [PERIOD] Batman is comfortable [PERIOD] Batman is light [PERIOD] Batman is stubborn [PERIOD] Batman is innocent [PERIOD] Rules: outrageous [IMPLY] comfortable [PERIOD] tired [AND] frail [IMPLY] worried [PERIOD] ambitious [AND] frail [IMPLY] outr...
Proof chain: stubborn ⇒ shiny comfortable ⇒ mean comfortable ⇒ tired tired ⇒ ambitious shiny ∧ mean ∧ ambitious ⇒ spotless comfortable ⇒ lucky lucky ⇒ outrageous light ⇒ troubled comfortable ⇒ tired troubled ∧ tired ⇒ loving spotless ∧ outrageous ∧ loving ⇒ blushing
1
11
Facts: Batman is dull [PERIOD] Batman is disgusted [PERIOD] Rules: supportive [AND] pleasant [IMPLY] difficult [PERIOD] impartial [IMPLY] sleepy [PERIOD] supportive [IMPLY] dull [PERIOD] alert [AND] adorable [AND] sleepy [IMPLY] difficult [PERIOD] anxious [AND] lonely [IMPLY] impatient [PERIOD] pleasant [AND] impartia...
Proof chain: Cannot apply rule “diplomatic ∧ friendly ⇒ impartial” because missing: diplomatic, friendly. dull ⇒ straightforward dull ∧ straightforward ⇒ worrisome worrisome ⇒ pleasant pleasant ⇒ difficult dull ⇒ straightforward dull ∧ straightforward ⇒ worrisome worrisome ⇒ clumsy difficult ...
0
11
Facts: Batman is attractive [PERIOD] Rules: homely [AND] horrible [IMPLY] hilarious [PERIOD] comfortable [IMPLY] attentive [PERIOD] hilarious [AND] horrible [IMPLY] messy [PERIOD] adorable [AND] different [AND] easy [IMPLY] busy [PERIOD] helpless [AND] comfortable [IMPLY] exuberant [PERIOD] beautiful [AND] clean [AND]...
Proof chain: attractive ⇒ exuberant exuberant ⇒ messy messy ⇒ vivacious attractive ∧ vivacious ⇒ beautiful beautiful ⇒ reserved attractive ⇒ exuberant exuberant ⇒ messy messy ⇒ vivacious vivacious ⇒ easy easy ⇒ hilarious reserved ∧ hilarious ⇒ confused
1
11
Facts: Batman is horrible [PERIOD] Batman is hurt [PERIOD] Batman is outstanding [PERIOD] Batman is naughty [PERIOD] Rules: horrible [AND] naughty [IMPLY] vivacious [PERIOD] vivacious [AND] frail [IMPLY] outstanding [PERIOD] frail [AND] vivacious [IMPLY] naughty [PERIOD] frail [AND] sincere [AND] outstanding [IMPLY] h...
Proof chain: Cannot apply rule “comfortable ⇒ attractive” because missing: comfortable. horrible ∧ naughty ⇒ vivacious horrible ∧ vivacious ⇒ frail Cannot apply rule “frail ∧ spotless ⇒ attractive” because missing: spotless. horrible ∧ naughty ⇒ vivacious horrible ∧ vivacious ⇒ frail horrible ∧ nau...
0
11
Facts: Batman is reserved [PERIOD] Batman is dishonest [PERIOD] Batman is glamorous [PERIOD] Rules: embarrassed [AND] tense [IMPLY] condemned [PERIOD] thoughtful [AND] glamorous [IMPLY] supportive [PERIOD] tense [IMPLY] dishonest [PERIOD] disgusted [IMPLY] grumpy [PERIOD] stormy [IMPLY] tense [PERIOD] stormy [AND] fra...
Proof chain: dishonest ⇒ pessimistic pessimistic ∧ reserved ⇒ frantic frantic ⇒ easy easy ⇒ weary dishonest ⇒ pessimistic pessimistic ∧ reserved ⇒ frantic frantic ⇒ ugly dishonest ⇒ pessimistic pessimistic ∧ reserved ⇒ frantic frantic ⇒ easy weary ∧ ugly ∧ easy ⇒ fragile
1
11
Facts: Batman is cute [PERIOD] Batman is precious [PERIOD] Batman is muddy [PERIOD] Batman is versatile [PERIOD] Rules: bossy [AND] worrisome [AND] joyous [IMPLY] muddy [PERIOD] cute [AND] worrisome [AND] tense [IMPLY] attentive [PERIOD] bossy [AND] joyous [AND] cute [IMPLY] confused [PERIOD] careless [AND] good [IMPL...
Proof chain: versatile ⇒ good cute ⇒ worried worried ⇒ joyous versatile ⇒ good good ⇒ horrible cute ∧ joyous ∧ horrible ⇒ embarrassed cute ⇒ worried versatile ⇒ good good ⇒ horrible embarrassed ∧ worried ∧ horrible ⇒ different good ∧ different ⇒ enchanting
1
11
Facts: Batman is wandering [PERIOD] Batman is fragile [PERIOD] Batman is reserved [PERIOD] Batman is cruel [PERIOD] Batman is impartial [PERIOD] Batman is inexpensive [PERIOD] Batman is hilarious [PERIOD] Rules: lucky [IMPLY] agreeable [PERIOD] smart [AND] tired [AND] agreeable [IMPLY] average [PERIOD] lucky [AND] fra...
Proof chain: impartial ⇒ old-fashioned impartial ⇒ old-fashioned old-fashioned ⇒ average impartial ∧ wandering ⇒ elegant wandering ∧ average ∧ elegant ⇒ easy old-fashioned ∧ easy ⇒ grumpy fragile ⇒ friendly friendly ⇒ agreeable agreeable ∧ inexpensive ⇒ loving grumpy ∧ loving ⇒ tired hi...
1
11
Facts: Batman is careless [PERIOD] Batman is gleaming [PERIOD] Batman is disgusted [PERIOD] Batman is mysterious [PERIOD] Batman is fragile [PERIOD] Batman is gifted [PERIOD] Batman is average [PERIOD] Batman is distinct [PERIOD] Rules: thoughtful [AND] stormy [AND] comfortable [IMPLY] fragile [PERIOD] stormy [AND] pr...
Proof chain: gifted ⇒ condemned gifted ∧ condemned ⇒ amused amused ∧ mysterious ∧ gleaming ⇒ stormy stormy ⇒ proud gleaming ⇒ precious precious ∧ fragile ∧ distinct ⇒ cruel fragile ∧ cruel ⇒ tame careless ⇒ comfortable gleaming ⇒ sensible comfortable ∧ sensible ∧ distinct ⇒ bored proud ...
1
11
Facts: Batman is horrible [PERIOD] Rules: hypocritical [IMPLY] inexpensive [PERIOD] horrible [AND] homely [AND] outstanding [IMPLY] attentive [PERIOD] hypocritical [AND] outstanding [AND] attentive [IMPLY] mysterious [PERIOD] horrible [AND] homely [IMPLY] mysterious [PERIOD] mysterious [IMPLY] adorable [PERIOD] horrib...
Proof chain: horrible ⇒ attentive Cannot apply rule “hypocritical ∧ outstanding ∧ attentive ⇒ mysterious” because missing: hypocritical, outstanding. Cannot apply rule “horrible ∧ homely ⇒ mysterious” because missing: homely. Cannot apply rule “homely ⇒ mysterious” because missing: homely. Cannot apply r...
0
11
Facts: Batman is outstanding [PERIOD] Batman is diplomatic [PERIOD] Rules: exuberant [IMPLY] ugliest [PERIOD] unpleasant [AND] diplomatic [AND] clumsy [IMPLY] tense [PERIOD] wide-eyed [AND] strange [IMPLY] tense [PERIOD] talented [AND] gleaming [IMPLY] strange [PERIOD] weary [AND] outstanding [IMPLY] straightforward [...
Proof chain: diplomatic ⇒ gleaming gleaming ⇒ frail Cannot apply rule “bad-tempered ∧ wide-eyed ∧ frail ⇒ confident” because missing: bad-tempered, wide-eyed. diplomatic ⇒ impartial impartial ∧ diplomatic ⇒ talented diplomatic ⇒ gleaming talented ∧ gleaming ⇒ strange diplomatic ⇒ impartial im...
0
11
Facts: Batman is fine [PERIOD] Batman is intellectual [PERIOD] Batman is embarrassed [PERIOD] Batman is precious [PERIOD] Batman is rational [PERIOD] Batman is gleaming [PERIOD] Batman is tame [PERIOD] Rules: exuberant [AND] gifted [AND] sleepy [IMPLY] broad-minded [PERIOD] attentive [AND] impatient [IMPLY] sleepy [PE...
Proof chain: intellectual ⇒ anxious anxious ⇒ charming rational ⇒ sleepy sleepy ∧ gleaming ⇒ strange charming ∧ strange ⇒ troubled troubled ⇒ exuberant embarrassed ∧ exuberant ∧ gleaming ⇒ attentive intellectual ⇒ anxious anxious ⇒ charming intellectual ⇒ anxious attentive ∧ charming ∧ ...
1
11
Facts: Batman is disobedient [PERIOD] Batman is hurt [PERIOD] Batman is tame [PERIOD] Batman is jittery [PERIOD] Batman is hypocritical [PERIOD] Rules: hurt [AND] bossy [AND] dishonest [IMPLY] alert [PERIOD] inquisitive [AND] bossy [IMPLY] fragile [PERIOD] alert [AND] worried [AND] thoughtful [IMPLY] mysterious [PERIO...
Proof chain: Cannot apply rule “thoughtful ∧ dishonest ∧ hurt ⇒ combative” because missing: thoughtful, dishonest. hypocritical ⇒ inquisitive inquisitive ⇒ stupid Cannot apply rule “stupid ∧ grumpy ∧ alert ⇒ combative” because missing: grumpy, alert. hypocritical ⇒ inquisitive inquisitive ⇒ stupid ...
0
11
Facts: Batman is anxious [PERIOD] Batman is weary [PERIOD] Rules: victorious [IMPLY] pleasant [PERIOD] victorious [AND] fearless [IMPLY] gorgeous [PERIOD] charming [AND] vivacious [IMPLY] pleasant [PERIOD] ugliest [IMPLY] dull [PERIOD] dull [AND] naughty [IMPLY] ugliest [PERIOD] anxious [AND] fearless [AND] dull [IMPL...
Proof chain: anxious ⇒ outstanding outstanding ⇒ victorious victorious ⇒ pleasant pleasant ⇒ different anxious ⇒ outstanding outstanding ⇒ victorious anxious ⇒ outstanding outstanding ⇒ victorious victorious ⇒ pleasant pleasant ⇒ vivacious different ∧ victorious ∧ vivacious ⇒ wandering
1
11
Facts: Batman is versatile [PERIOD] Rules: talented [IMPLY] versatile [PERIOD] strange [AND] versatile [AND] talkative [IMPLY] impartial [PERIOD] strange [IMPLY] exuberant [PERIOD] fearless [IMPLY] pleasant [PERIOD] strange [AND] talkative [AND] shy [IMPLY] impartial [PERIOD] frantic [IMPLY] wide-eyed [PERIOD] versati...
Proof chain: versatile ⇒ diplomatic diplomatic ⇒ fearless fearless ⇒ pleasant versatile ⇒ diplomatic diplomatic ⇒ fearless fearless ⇒ attractive versatile ⇒ diplomatic diplomatic ⇒ fearless fearless ⇒ attractive attractive ∧ versatile ⇒ troubled pleasant ∧ attractive ∧ troubled ⇒ cute
1
11
Facts: Batman is clumsy [PERIOD] Rules: popular [IMPLY] silly [PERIOD] stupid [AND] fancy [AND] friendly [IMPLY] broad-minded [PERIOD] friendly [AND] precious [AND] weary [IMPLY] fancy [PERIOD] fancy [IMPLY] tense [PERIOD] thoughtless [AND] clumsy [AND] tense [IMPLY] nervous [PERIOD] glamorous [AND] clumsy [AND] stupi...
Proof chain: Cannot apply rule “exuberant ⇒ messy” because missing: exuberant. clumsy ⇒ popular clumsy ⇒ popular popular ⇒ silly popular ∧ silly ⇒ precious clumsy ⇒ popular clumsy ⇒ popular popular ⇒ silly popular ∧ silly ⇒ precious precious ⇒ broad-minded Cannot apply rule “precious ∧ ...
0
11
Facts: Batman is diplomatic [PERIOD] Batman is hurt [PERIOD] Batman is worrisome [PERIOD] Rules: smart [AND] bossy [AND] diplomatic [IMPLY] difficult [PERIOD] intellectual [AND] average [AND] joyous [IMPLY] exuberant [PERIOD] inquisitive [IMPLY] lonely [PERIOD] lonely [AND] diplomatic [AND] frightened [IMPLY] average ...
Proof chain: worrisome ⇒ inquisitive inquisitive ⇒ lonely hurt ∧ lonely ⇒ frail frail ⇒ adorable adorable ⇒ ugly worrisome ⇒ inquisitive inquisitive ⇒ lonely lonely ⇒ exuberant exuberant ∧ diplomatic ⇒ fragile worrisome ∧ ugly ∧ fragile ⇒ joyous Cannot apply rule “joyous ∧ dull ⇒ bossy”...
0
11
Facts: Batman is gleaming [PERIOD] Batman is good [PERIOD] Batman is helpless [PERIOD] Batman is zealous [PERIOD] Batman is sincere [PERIOD] Rules: helpless [AND] charming [IMPLY] jittery [PERIOD] helpless [AND] old-fashioned [AND] inexpensive [IMPLY] impartial [PERIOD] elated [IMPLY] lonely [PERIOD] inexpensive [AND]...
Proof chain: sincere ⇒ broad-minded broad-minded ⇒ inexpensive inexpensive ⇒ gorgeous gorgeous ⇒ tender good ∧ tender ⇒ charming sincere ⇒ broad-minded broad-minded ⇒ inexpensive gleaming ∧ inexpensive ⇒ talented good ⇒ innocent talented ∧ good ∧ innocent ⇒ ugly charming ∧ ugly ⇒ elated...
1
11
Facts: Batman is courageous [PERIOD] Batman is frightened [PERIOD] Batman is horrible [PERIOD] Batman is fancy [PERIOD] Rules: ugly [AND] courageous [IMPLY] tired [PERIOD] enchanting [IMPLY] talkative [PERIOD] talkative [AND] naughty [IMPLY] calm [PERIOD] powerful [AND] frail [IMPLY] rude [PERIOD] excited [IMPLY] powe...
Proof chain: courageous ⇒ naughty horrible ∧ naughty ⇒ dull fancy ⇒ enchanting fancy ⇒ enchanting enchanting ⇒ talkative courageous ⇒ naughty talkative ∧ naughty ⇒ calm enchanting ∧ calm ⇒ ugly courageous ⇒ naughty dull ∧ ugly ∧ naughty ⇒ excited excited ⇒ frail
1
11
Facts: Batman is amused [PERIOD] Rules: silly [AND] amused [IMPLY] proud [PERIOD] victorious [AND] bad-tempered [AND] diplomatic [IMPLY] thoughtful [PERIOD] zealous [IMPLY] bad-tempered [PERIOD] mysterious [AND] thoughtful [AND] cooperative [IMPLY] clean [PERIOD] frightened [AND] clean [AND] silly [IMPLY] amused [PERI...
Proof chain: amused ⇒ zealous amused ⇒ zealous zealous ⇒ bad-tempered bad-tempered ⇒ cooperative cooperative ⇒ pessimistic zealous ∧ pessimistic ⇒ diplomatic amused ⇒ zealous zealous ⇒ bad-tempered bad-tempered ⇒ cooperative cooperative ⇒ pessimistic Cannot apply rule “diplomatic ∧ pess...
0
11
Facts: Batman is gleaming [PERIOD] Batman is fragile [PERIOD] Batman is cruel [PERIOD] Batman is hurt [PERIOD] Batman is mean [PERIOD] Rules: worrisome [AND] fragile [AND] mysterious [IMPLY] tame [PERIOD] pessimistic [IMPLY] tired [PERIOD] lonely [AND] worrisome [IMPLY] mean [PERIOD] pleasant [IMPLY] cruel [PERIOD] pl...
Proof chain: mean ∧ hurt ⇒ homely homely ⇒ mysterious mysterious ⇒ fearless fragile ∧ hurt ⇒ diplomatic diplomatic ∧ mean ⇒ tame gleaming ∧ fearless ∧ tame ⇒ sincere sincere ⇒ pessimistic Cannot apply rule “worrisome ∧ ugliest ∧ pessimistic ⇒ reserved” because missing: worrisome, ugliest. Can...
0
11
Facts: Batman is stormy [PERIOD] Batman is ugly [PERIOD] Batman is helpful [PERIOD] Rules: broad-minded [AND] hypocritical [AND] beautiful [IMPLY] wrong [PERIOD] hypocritical [IMPLY] broad-minded [PERIOD] modern [IMPLY] good [PERIOD] ugly [AND] outstanding [AND] stormy [IMPLY] gorgeous [PERIOD] ugly [AND] elegant [IMP...
Proof chain: helpful ⇒ broad-minded helpful ⇒ broad-minded helpful ∧ broad-minded ⇒ elegant broad-minded ∧ elegant ⇒ wandering stormy ∧ wandering ∧ helpful ⇒ famous helpful ⇒ broad-minded helpful ⇒ broad-minded helpful ∧ broad-minded ⇒ elegant elegant ⇒ courageous stormy ∧ broad-minded ∧ c...
1
11
Facts: Batman is combative [PERIOD] Batman is disgusted [PERIOD] Batman is spotless [PERIOD] Batman is broad-minded [PERIOD] Batman is quaint [PERIOD] Rules: clumsy [AND] anxious [IMPLY] confused [PERIOD] lonely [IMPLY] tense [PERIOD] anxious [AND] horrible [IMPLY] disgusted [PERIOD] foolish [AND] bad-tempered [AND] s...
Proof chain: combative ⇒ homely homely ⇒ confused spotless ⇒ horrible horrible ∧ spotless ⇒ bad-tempered combative ⇒ amused amused ⇒ anxious bad-tempered ∧ anxious ⇒ tense confused ∧ quaint ∧ tense ⇒ fearless combative ⇒ ugliest fearless ∧ ugliest ∧ broad-minded ⇒ stormy Cannot apply ru...
0
11
Facts: Batman is inquisitive [PERIOD] Batman is hilarious [PERIOD] Batman is excited [PERIOD] Batman is tidy [PERIOD] Rules: gleaming [AND] gifted [IMPLY] clumsy [PERIOD] homely [AND] inquisitive [IMPLY] hilarious [PERIOD] rude [IMPLY] polite [PERIOD] muddy [AND] serious [IMPLY] gifted [PERIOD] gifted [IMPLY] tidy [PE...
Proof chain: tidy ⇒ confused tidy ⇒ confused confused ⇒ fragile hilarious ∧ fragile ⇒ reserved reserved ⇒ clumsy hilarious ∧ tidy ∧ clumsy ⇒ frail confused ∧ frail ⇒ bored tidy ⇒ confused confused ⇒ fragile hilarious ∧ fragile ⇒ reserved bored ∧ reserved ⇒ muddy
1
11
Facts: Batman is shy [PERIOD] Batman is messy [PERIOD] Batman is foolish [PERIOD] Rules: dull [IMPLY] messy [PERIOD] sincere [IMPLY] beautiful [PERIOD] fancy [AND] dull [AND] sincere [IMPLY] difficult [PERIOD] wandering [AND] old-fashioned [AND] mean [IMPLY] thoughtless [PERIOD] sincere [AND] impartial [IMPLY] old-fas...
Proof chain: foolish ⇒ selfish selfish ⇒ sincere shy ∧ messy ⇒ thoughtless thoughtless ⇒ sleepy shy ⇒ fancy fancy ⇒ wandering shy ∧ messy ⇒ thoughtless sleepy ∧ wandering ∧ thoughtless ⇒ glamorous shy ⇒ fancy glamorous ∧ fancy ⇒ impartial sincere ∧ impartial ⇒ old-fashioned
1
11
Facts: Batman is clumsy [PERIOD] Rules: confident [IMPLY] horrible [PERIOD] tidy [IMPLY] clean [PERIOD] pessimistic [IMPLY] gifted [PERIOD] adorable [AND] gifted [IMPLY] pleasant [PERIOD] clumsy [AND] talented [AND] inexpensive [IMPLY] confident [PERIOD] calm [AND] confident [IMPLY] horrible [PERIOD] horrible [IMPLY] ...
Proof chain: clumsy ⇒ tidy tidy ⇒ clean clean ⇒ calm clumsy ⇒ tidy clumsy ⇒ tidy tidy ⇒ clean clean ⇒ calm calm ⇒ adorable clumsy ∧ adorable ⇒ inexpensive calm ∧ tidy ∧ inexpensive ⇒ pleasant pleasant ⇒ attractive
1
11
Facts: Batman is confident [PERIOD] Batman is selfish [PERIOD] Batman is foolish [PERIOD] Batman is uptight [PERIOD] Rules: weary [AND] worrisome [AND] gifted [IMPLY] adorable [PERIOD] worrisome [AND] lonely [AND] excited [IMPLY] vivacious [PERIOD] vivacious [AND] busy [AND] excited [IMPLY] zealous [PERIOD] stormy [AN...
Proof chain: selfish ⇒ busy Cannot apply rule “vivacious ∧ busy ∧ excited ⇒ zealous” because missing: vivacious, excited. uptight ⇒ weary weary ⇒ gifted Cannot apply rule “gifted ∧ fancy ∧ vivacious ⇒ zealous” because missing: fancy, vivacious. uptight ⇒ weary weary ⇒ gifted confident ⇒ good ...
0
11
Facts: Batman is amused [PERIOD] Rules: elegant [AND] shy [AND] inexpensive [IMPLY] tame [PERIOD] inexpensive [AND] elegant [AND] rude [IMPLY] precious [PERIOD] homely [IMPLY] precious [PERIOD] combative [AND] elegant [AND] attentive [IMPLY] glamorous [PERIOD] amused [AND] inexpensive [AND] glamorous [IMPLY] attentive...
Proof chain: amused ⇒ elegant Cannot apply rule “inexpensive ∧ elegant ∧ rude ⇒ precious” because missing: inexpensive, rude. Cannot apply rule “homely ⇒ precious” because missing: homely. amused ⇒ elegant Cannot apply rule “elegant ∧ combative ∧ loving ⇒ precious” because missing: combative, loving. ...
0
11
Facts: Batman is light [PERIOD] Batman is difficult [PERIOD] Batman is shiny [PERIOD] Rules: busy [AND] light [IMPLY] broad-minded [PERIOD] loving [AND] broad-minded [AND] selfish [IMPLY] attentive [PERIOD] shiny [AND] friendly [AND] ugliest [IMPLY] light [PERIOD] intellectual [AND] helpful [AND] sensible [IMPLY] ligh...
Proof chain: light ⇒ loving loving ⇒ gleaming gleaming ⇒ mean light ⇒ loving loving ⇒ gleaming gleaming ⇒ mean mean ⇒ bright difficult ⇒ busy busy ∧ light ⇒ broad-minded mean ∧ bright ∧ broad-minded ⇒ helpless helpless ⇒ attentive
1
11
Facts: Batman is charming [PERIOD] Rules: intellectual [AND] charming [AND] dull [IMPLY] frantic [PERIOD] frantic [IMPLY] charming [PERIOD] crowded [IMPLY] charming [PERIOD] frantic [AND] fancy [AND] charming [IMPLY] crowded [PERIOD] fancy [IMPLY] frantic [PERIOD] fancy [IMPLY] intellectual [PERIOD] intellectual [AND]...
Proof chain: charming ⇒ dull dull ∧ charming ⇒ intellectual charming ⇒ dull intellectual ∧ charming ∧ dull ⇒ frantic Cannot apply rule “frantic ∧ fancy ∧ charming ⇒ crowded” because missing: fancy. charming ⇒ dull dull ∧ charming ⇒ intellectual Cannot apply rule “intellectual ∧ fancy ∧ charming ...
0
11
Facts: Batman is fearless [PERIOD] Batman is stormy [PERIOD] Batman is distinct [PERIOD] Batman is bored [PERIOD] Rules: pleasant [IMPLY] amused [PERIOD] smart [AND] fearless [IMPLY] fragile [PERIOD] fearless [AND] pleasant [AND] wandering [IMPLY] straightforward [PERIOD] stormy [AND] frightened [AND] fearless [IMPLY]...
Proof chain: bored ∧ distinct ⇒ different different ⇒ fragile distinct ⇒ zealous fragile ∧ distinct ∧ zealous ⇒ naughty bored ∧ distinct ⇒ different different ⇒ fragile distinct ⇒ zealous fragile ∧ distinct ∧ zealous ⇒ naughty naughty ⇒ disobedient distinct ∧ bored ⇒ straightforward nau...
1
11
Facts: Batman is sensible [PERIOD] Batman is crowded [PERIOD] Rules: courageous [AND] sensible [IMPLY] frail [PERIOD] crowded [IMPLY] polite [PERIOD] proud [AND] crowded [IMPLY] courageous [PERIOD] old-fashioned [IMPLY] confident [PERIOD] bossy [AND] weary [AND] old-fashioned [IMPLY] bad-tempered [PERIOD] bossy [AND] ...
Proof chain: crowded ⇒ polite polite ⇒ anxious sensible ∧ anxious ⇒ frail frail ⇒ weary crowded ⇒ polite polite ⇒ anxious crowded ⇒ polite weary ∧ anxious ∧ polite ⇒ bad-tempered crowded ⇒ polite polite ⇒ anxious bad-tempered ∧ anxious ⇒ courageous
1
11
Facts: Batman is smart [PERIOD] Batman is elated [PERIOD] Rules: quaint [IMPLY] lucky [PERIOD] jittery [AND] lucky [IMPLY] worrisome [PERIOD] good [IMPLY] jittery [PERIOD] uptight [IMPLY] calm [PERIOD] elated [IMPLY] thoughtless [PERIOD] elated [IMPLY] wrong [PERIOD] serious [AND] selfish [AND] confident [IMPLY] quain...
Proof chain: elated ⇒ thoughtless thoughtless ⇒ quaint quaint ⇒ lucky lucky ⇒ homely elated ⇒ ambitious ambitious ⇒ calm elated ⇒ thoughtless thoughtless ⇒ quaint calm ∧ quaint ∧ elated ⇒ charming charming ⇒ distinct homely ∧ distinct ⇒ precious
1
11
Facts: Batman is gorgeous [PERIOD] Batman is smart [PERIOD] Batman is strange [PERIOD] Batman is good [PERIOD] Batman is nervous [PERIOD] Batman is sincere [PERIOD] Batman is worrisome [PERIOD] Rules: excited [AND] messy [AND] loving [IMPLY] broad-minded [PERIOD] proud [AND] bright [AND] nervous [IMPLY] cooperative [P...
Proof chain: sincere ⇒ proud gorgeous ∧ proud ⇒ tame sincere ⇒ proud tame ∧ proud ⇒ anxious smart ⇒ bossy anxious ∧ bossy ∧ sincere ⇒ condemned condemned ⇒ wrong smart ⇒ bossy bossy ⇒ victorious victorious ∧ worrisome ⇒ loving wrong ∧ loving ⇒ confused
1
11
Facts: Batman is precious [PERIOD] Batman is careless [PERIOD] Batman is glamorous [PERIOD] Batman is cute [PERIOD] Rules: gleaming [AND] gifted [AND] serious [IMPLY] wandering [PERIOD] silly [AND] perfect [AND] gleaming [IMPLY] bored [PERIOD] friendly [IMPLY] cooperative [PERIOD] precious [AND] elated [IMPLY] perfect...
Proof chain: cute ⇒ joyous joyous ⇒ elated precious ∧ elated ⇒ perfect cute ⇒ joyous joyous ⇒ messy messy ⇒ condemned perfect ∧ condemned ⇒ calm cute ⇒ joyous calm ∧ cute ∧ joyous ⇒ diplomatic diplomatic ⇒ friendly friendly ∧ precious ⇒ outrageous
1
11
Facts: Batman is serious [PERIOD] Batman is loving [PERIOD] Batman is selfish [PERIOD] Batman is helpless [PERIOD] Rules: wrong [AND] ugly [IMPLY] worried [PERIOD] inexpensive [IMPLY] rude [PERIOD] thoughtful [AND] helpless [IMPLY] selfish [PERIOD] smart [AND] tidy [IMPLY] spotless [PERIOD] blushing [IMPLY] frail [PER...
Proof chain: helpless ⇒ joyous joyous ⇒ exuberant loving ∧ exuberant ⇒ dull dull ⇒ blushing blushing ⇒ cruel helpless ⇒ joyous joyous ⇒ exuberant helpless ⇒ joyous exuberant ∧ joyous ⇒ homely homely ⇒ wrong selfish ∧ cruel ∧ wrong ⇒ shiny
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11
Facts: Batman is tame [PERIOD] Batman is amused [PERIOD] Rules: ugly [IMPLY] wide-eyed [PERIOD] ugly [IMPLY] fine [PERIOD] broad-minded [AND] fine [AND] amused [IMPLY] ugly [PERIOD] ambitious [AND] fine [AND] tame [IMPLY] amused [PERIOD] homely [AND] tame [IMPLY] ugly [PERIOD] worrisome [AND] tame [AND] clean [IMPLY] ...
Proof chain: tame ⇒ clean clean ∧ tame ⇒ aggressive tame ⇒ clean clean ⇒ homely tame ⇒ clean tame ⇒ clean clean ⇒ homely clean ∧ homely ⇒ worrisome tame ∧ worrisome ⇒ broad-minded homely ∧ broad-minded ∧ tame ⇒ distinct Cannot apply rule “aggressive ∧ ambitious ∧ distinct ⇒ inquisitive”...
0
11
Facts: Batman is glamorous [PERIOD] Batman is fine [PERIOD] Batman is ambitious [PERIOD] Batman is worrisome [PERIOD] Rules: outrageous [IMPLY] pessimistic [PERIOD] clumsy [IMPLY] selfish [PERIOD] clean [AND] spotless [AND] clumsy [IMPLY] inexpensive [PERIOD] inexpensive [AND] clean [IMPLY] old-fashioned [PERIOD] blus...
Proof chain: worrisome ⇒ clean clean ⇒ clumsy clumsy ⇒ selfish selfish ∧ ambitious ⇒ disobedient disobedient ⇒ diplomatic worrisome ⇒ clean clean ⇒ clumsy clumsy ⇒ selfish selfish ∧ ambitious ⇒ disobedient diplomatic ∧ disobedient ⇒ comfortable Cannot apply rule “comfortable ∧ beautiful...
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11
Facts: Batman is unpleasant [PERIOD] Batman is excited [PERIOD] Batman is spotless [PERIOD] Rules: cute [AND] blushing [IMPLY] famous [PERIOD] friendly [AND] famous [IMPLY] excited [PERIOD] blushing [AND] frail [AND] messy [IMPLY] talkative [PERIOD] frail [AND] ugly [AND] messy [IMPLY] precious [PERIOD] confused [AND]...
Proof chain: spotless ⇒ blushing excited ⇒ messy Cannot apply rule “blushing ∧ frail ∧ messy ⇒ talkative” because missing: frail. excited ⇒ messy Cannot apply rule “spotless ∧ frail ∧ messy ⇒ talkative” because missing: frail. spotless ⇒ confused Cannot apply rule “unpleasant ∧ confused ∧ frail ⇒ t...
0
11
Facts: Batman is broad-minded [PERIOD] Batman is joyous [PERIOD] Rules: distinct [AND] perfect [AND] hypocritical [IMPLY] dishonest [PERIOD] wandering [AND] strange [IMPLY] distinct [PERIOD] ambitious [AND] helpful [IMPLY] hypocritical [PERIOD] helpful [AND] joyous [AND] popular [IMPLY] victorious [PERIOD] victorious ...
Proof chain: joyous ∧ broad-minded ⇒ hypocritical hypocritical ⇒ dishonest Cannot apply rule “broad-minded ∧ cute ∧ dishonest ⇒ popular” because missing: cute. joyous ∧ broad-minded ⇒ hypocritical hypocritical ⇒ dishonest Cannot apply rule “victorious ∧ dishonest ∧ spotless ⇒ popular” because missing:...
0
11
Facts: Batman is shy [PERIOD] Batman is glamorous [PERIOD] Batman is powerful [PERIOD] Batman is tame [PERIOD] Rules: glamorous [AND] old-fashioned [AND] attractive [IMPLY] horrible [PERIOD] fragile [IMPLY] attractive [PERIOD] stupid [IMPLY] modern [PERIOD] cooperative [AND] attractive [AND] stupid [IMPLY] loving [PER...
Proof chain: shy ⇒ horrible glamorous ⇒ fragile glamorous ⇒ fragile fragile ⇒ modern horrible ∧ fragile ∧ modern ⇒ cooperative Cannot apply rule “cooperative ∧ stupid ⇒ old-fashioned” because missing: stupid. glamorous ⇒ fragile fragile ⇒ attractive Cannot apply rule “attractive ∧ victorious ...
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11
Facts: Batman is rational [PERIOD] Batman is outrageous [PERIOD] Batman is amused [PERIOD] Batman is broad-minded [PERIOD] Batman is witty [PERIOD] Batman is outstanding [PERIOD] Batman is disobedient [PERIOD] Batman is easy [PERIOD] Batman is confident [PERIOD] Rules: outstanding [IMPLY] thoughtful [PERIOD] outstandi...
Proof chain: disobedient ⇒ rude witty ⇒ old-fashioned outrageous ⇒ attentive amused ⇒ wandering attentive ∧ wandering ⇒ ambitious ambitious ⇒ talkative rude ∧ old-fashioned ∧ talkative ⇒ careless outrageous ⇒ thoughtful careless ∧ thoughtful ∧ disobedient ⇒ excited confident ∧ outstanding ...
1
11
Facts: Batman is gifted [PERIOD] Batman is mean [PERIOD] Batman is embarrassed [PERIOD] Batman is horrible [PERIOD] Batman is impatient [PERIOD] Rules: mysterious [AND] embarrassed [AND] joyous [IMPLY] broad-minded [PERIOD] lonely [AND] naughty [IMPLY] worrisome [PERIOD] lonely [AND] reserved [IMPLY] joyous [PERIOD] c...
Proof chain: embarrassed ⇒ lucky embarrassed ⇒ lucky mean ⇒ reserved reserved ⇒ clumsy mean ⇒ reserved embarrassed ⇒ lucky reserved ∧ lucky ⇒ combative lucky ∧ clumsy ∧ combative ⇒ naughty lucky ∧ naughty ⇒ agreeable embarrassed ⇒ lucky agreeable ∧ lucky ⇒ tired
1
11
Facts: Batman is helpful [PERIOD] Rules: adorable [AND] helpful [IMPLY] versatile [PERIOD] thoughtful [AND] helpful [AND] ugliest [IMPLY] mysterious [PERIOD] tender [AND] mysterious [AND] ugliest [IMPLY] helpful [PERIOD] different [AND] thoughtful [AND] ugliest [IMPLY] versatile [PERIOD] ugliest [AND] adorable [AND] h...
Proof chain: helpful ⇒ adorable Cannot apply rule “ugliest ∧ adorable ∧ helpful ⇒ tender” because missing: ugliest. Cannot apply rule “ugliest ⇒ tender” because missing: ugliest. Cannot apply rule “mysterious ⇒ tender” because missing: mysterious. Cannot apply rule “ugliest ∧ thoughtful ⇒ tender” because...
0
11
Facts: Batman is strange [PERIOD] Batman is lonely [PERIOD] Rules: fragile [IMPLY] agreeable [PERIOD] adorable [AND] strange [AND] weary [IMPLY] lonely [PERIOD] agreeable [IMPLY] helpless [PERIOD] lonely [AND] frightened [IMPLY] fragile [PERIOD] clumsy [AND] disgusted [AND] troubled [IMPLY] hurt [PERIOD] impatient [IM...
Proof chain: lonely ⇒ average average ⇒ weary Cannot apply rule “weary ∧ disgusted ∧ confused ⇒ courageous” because missing: disgusted, confused. Cannot apply rule “confused ⇒ courageous” because missing: confused. Cannot apply rule “clumsy ⇒ courageous” because missing: clumsy. Cannot apply rule “ver...
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11
Facts: Batman is ambitious [PERIOD] Batman is elegant [PERIOD] Batman is worried [PERIOD] Batman is exuberant [PERIOD] Rules: frightened [IMPLY] worried [PERIOD] adorable [AND] lucky [IMPLY] sensible [PERIOD] straightforward [IMPLY] adorable [PERIOD] straightforward [IMPLY] powerful [PERIOD] elegant [AND] sensible [IM...
Proof chain: ambitious ⇒ sensible worried ⇒ lucky Cannot apply rule “sensible ∧ polite ∧ lucky ⇒ foolish” because missing: polite. ambitious ⇒ sensible elegant ∧ sensible ⇒ straightforward straightforward ⇒ adorable Cannot apply rule “polite ∧ adorable ⇒ foolish” because missing: polite. ambitio...
0
11
Facts: Batman is bored [PERIOD] Batman is gifted [PERIOD] Rules: amused [AND] gifted [IMPLY] attractive [PERIOD] thoughtful [AND] nervous [AND] amused [IMPLY] hilarious [PERIOD] calm [IMPLY] helpful [PERIOD] pessimistic [AND] inquisitive [IMPLY] attractive [PERIOD] gifted [IMPLY] intellectual [PERIOD] clean [AND] inqu...
Proof chain: gifted ⇒ intellectual intellectual ⇒ thoughtful bored ∧ thoughtful ⇒ fearless fearless ⇒ hilarious gifted ⇒ intellectual intellectual ⇒ thoughtful gifted ⇒ intellectual intellectual ⇒ thoughtful bored ∧ thoughtful ⇒ fearless hilarious ∧ thoughtful ∧ fearless ⇒ inquisitive C...
0
11
Facts: Batman is spotless [PERIOD] Batman is diplomatic [PERIOD] Rules: wrong [AND] distinct [AND] shy [IMPLY] busy [PERIOD] frightened [AND] diplomatic [AND] homely [IMPLY] long [PERIOD] inquisitive [IMPLY] friendly [PERIOD] lonely [AND] bored [IMPLY] attentive [PERIOD] fancy [AND] lonely [IMPLY] homely [PERIOD] diff...
Proof chain: Cannot apply rule “modern ∧ spotless ⇒ shy” because missing: modern. diplomatic ⇒ wandering wandering ⇒ proud proud ⇒ busy busy ⇒ lonely lonely ⇒ difficult Cannot apply rule “modern ∧ difficult ⇒ shy” because missing: modern. diplomatic ⇒ wandering wandering ⇒ frightened diplo...
0
11
Facts: Batman is talented [PERIOD] Batman is uptight [PERIOD] Batman is elegant [PERIOD] Batman is dishonest [PERIOD] Batman is weary [PERIOD] Rules: pleasant [IMPLY] nervous [PERIOD] perfect [AND] courageous [IMPLY] weary [PERIOD] versatile [IMPLY] stubborn [PERIOD] dull [AND] elegant [AND] reserved [IMPLY] clean [PE...
Proof chain: elegant ⇒ distinct distinct ⇒ clean elegant ⇒ distinct distinct ∧ talented ⇒ stubborn stubborn ⇒ selfish weary ⇒ thoughtful thoughtful ⇒ straightforward clean ∧ selfish ∧ straightforward ⇒ reserved reserved ∧ dishonest ⇒ spotless spotless ⇒ courageous Cannot apply rule “cou...
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11
Facts: Batman is pleasant [PERIOD] Rules: easy [IMPLY] serious [PERIOD] plain [AND] average [AND] spotless [IMPLY] modern [PERIOD] easy [AND] embarrassed [IMPLY] spotless [PERIOD] modern [AND] horrible [IMPLY] pleasant [PERIOD] excited [AND] adorable [IMPLY] spotless [PERIOD] unpleasant [AND] amused [IMPLY] stubborn [...
Proof chain: pleasant ⇒ stubborn stubborn ⇒ spotless pleasant ⇒ stubborn stubborn ⇒ spotless spotless ⇒ easy easy ⇒ scared scared ⇒ clean spotless ∧ clean ⇒ powerful powerful ⇒ hurt pleasant ⇒ stubborn hurt ∧ stubborn ⇒ modern
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Facts: Batman is frantic [PERIOD] Batman is spotless [PERIOD] Batman is bored [PERIOD] Rules: troubled [AND] spotless [IMPLY] diplomatic [PERIOD] crowded [AND] fragile [IMPLY] courageous [PERIOD] diplomatic [AND] courageous [AND] clean [IMPLY] old-fashioned [PERIOD] bored [AND] fragile [IMPLY] thoughtless [PERIOD] spo...
Proof chain: bored ⇒ crowded crowded ⇒ fearless spotless ∧ fearless ⇒ modern bored ⇒ crowded crowded ⇒ fearless frantic ∧ fearless ⇒ old-fashioned bored ⇒ crowded crowded ⇒ frail frail ⇒ muddy old-fashioned ∧ muddy ⇒ diplomatic modern ∧ diplomatic ⇒ clean
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Facts: Batman is versatile [PERIOD] Batman is tidy [PERIOD] Batman is quaint [PERIOD] Batman is unpleasant [PERIOD] Rules: difficult [IMPLY] clumsy [PERIOD] vivacious [IMPLY] horrible [PERIOD] horrible [AND] thoughtful [AND] hurt [IMPLY] witty [PERIOD] clumsy [AND] anxious [IMPLY] loving [PERIOD] gorgeous [AND] vivaci...
Proof chain: Cannot apply rule “troubled ∧ alert ∧ versatile ⇒ thoughtful” because missing: troubled, alert. Cannot apply rule “alert ∧ witty ⇒ thoughtful” because missing: alert, witty. Cannot apply rule “gorgeous ∧ loving ∧ witty ⇒ thoughtful” because missing: gorgeous, loving, witty. Cannot apply rule “t...
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Facts: Batman is impartial [PERIOD] Batman is condemned [PERIOD] Batman is curious [PERIOD] Batman is average [PERIOD] Batman is comfortable [PERIOD] Batman is dull [PERIOD] Rules: innocent [AND] impartial [IMPLY] curious [PERIOD] excited [AND] unpleasant [IMPLY] strange [PERIOD] impartial [IMPLY] comfortable [PERIOD]...
Proof chain: curious ∧ dull ⇒ cruel average ∧ cruel ⇒ stormy dull ∧ condemned ⇒ fearless fearless ⇒ rational comfortable ⇒ victorious curious ∧ victorious ⇒ innocent rational ∧ innocent ⇒ strange average ∧ stormy ∧ strange ⇒ diplomatic curious ⇒ tender impartial ∧ tender ⇒ unpleasant di...
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Facts: Batman is wrong [PERIOD] Batman is mysterious [PERIOD] Batman is frightened [PERIOD] Batman is grumpy [PERIOD] Rules: zealous [AND] adorable [IMPLY] pleasant [PERIOD] naughty [AND] jittery [AND] bright [IMPLY] old-fashioned [PERIOD] adorable [IMPLY] precious [PERIOD] helpful [AND] zealous [IMPLY] frightened [PE...
Proof chain: mysterious ⇒ zealous frightened ∧ zealous ⇒ helpful frightened ⇒ tidy tidy ⇒ cooperative frightened ⇒ tidy cooperative ∧ tidy ∧ frightened ⇒ adorable adorable ∧ mysterious ⇒ disobedient disobedient ⇒ exuberant exuberant ⇒ helpless Cannot apply rule “helpful ∧ helpless ∧ nervou...
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Facts: Batman is impartial [PERIOD] Batman is intellectual [PERIOD] Batman is wrong [PERIOD] Batman is popular [PERIOD] Rules: dull [AND] thoughtless [IMPLY] ugly [PERIOD] intellectual [IMPLY] impartial [PERIOD] cooperative [IMPLY] frantic [PERIOD] anxious [IMPLY] impartial [PERIOD] popular [AND] anxious [IMPLY] coope...
Proof chain: impartial ⇒ anxious popular ∧ anxious ⇒ cooperative popular ∧ cooperative ⇒ dull Cannot apply rule “dull ∧ thoughtless ⇒ ugly” because missing: thoughtless. impartial ⇒ anxious popular ∧ anxious ⇒ cooperative popular ∧ cooperative ⇒ dull impartial ⇒ anxious popular ∧ anxious ⇒ co...
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Facts: Batman is innocent [PERIOD] Batman is intellectual [PERIOD] Rules: intellectual [AND] inexpensive [IMPLY] fragile [PERIOD] wrong [IMPLY] vivacious [PERIOD] witty [AND] vivacious [AND] wrong [IMPLY] unpleasant [PERIOD] witty [IMPLY] unpleasant [PERIOD] vivacious [AND] intellectual [AND] fragile [IMPLY] witty [PE...
Proof chain: innocent ∧ intellectual ⇒ vivacious innocent ∧ intellectual ⇒ vivacious vivacious ⇒ wrong wrong ⇒ inexpensive intellectual ∧ inexpensive ⇒ fragile vivacious ∧ intellectual ∧ fragile ⇒ witty innocent ∧ intellectual ⇒ vivacious innocent ∧ intellectual ⇒ vivacious vivacious ⇒ wrong ...
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Facts: Batman is elated [PERIOD] Batman is wandering [PERIOD] Rules: exuberant [AND] nervous [IMPLY] pessimistic [PERIOD] exuberant [IMPLY] reserved [PERIOD] powerful [AND] stubborn [IMPLY] enchanting [PERIOD] witty [AND] confused [AND] supportive [IMPLY] enchanting [PERIOD] versatile [AND] pessimistic [AND] jittery [...
Proof chain: Cannot apply rule “powerful ∧ stubborn ⇒ enchanting” because missing: powerful, stubborn. wandering ⇒ long long ⇒ supportive Cannot apply rule “witty ∧ confused ∧ supportive ⇒ enchanting” because missing: witty, confused. Cannot apply rule “witty ∧ condemned ∧ wandering ⇒ enchanting” because...
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Facts: Batman is clumsy [PERIOD] Batman is scared [PERIOD] Batman is uptight [PERIOD] Batman is vivacious [PERIOD] Rules: different [IMPLY] impartial [PERIOD] vivacious [AND] scared [IMPLY] amused [PERIOD] comfortable [IMPLY] sleepy [PERIOD] outstanding [AND] careless [IMPLY] comfortable [PERIOD] perfect [AND] uptight...
Proof chain: vivacious ∧ scared ⇒ amused scared ∧ amused ⇒ precious precious ⇒ witty vivacious ∧ scared ⇒ amused scared ∧ amused ⇒ precious precious ⇒ plain witty ∧ plain ⇒ quaint Cannot apply rule “dull ∧ careless ∧ quaint ⇒ embarrassed” because missing: dull, careless. vivacious ∧ scared ⇒ ...
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Facts: Batman is blushing [PERIOD] Rules: troubled [AND] blushing [AND] excited [IMPLY] inquisitive [PERIOD] ugliest [AND] excited [AND] beautiful [IMPLY] shy [PERIOD] different [AND] weary [AND] curious [IMPLY] ugliest [PERIOD] average [AND] shy [AND] ugliest [IMPLY] fearless [PERIOD] cute [IMPLY] average [PERIOD] ta...
Proof chain: blushing ⇒ excited excited ⇒ spotless spotless ⇒ fearless fearless ⇒ broad-minded broad-minded ⇒ average blushing ∧ average ⇒ strange strange ⇒ troubled troubled ⇒ polite blushing ⇒ excited excited ⇒ tame polite ∧ tame ⇒ versatile
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Facts: Batman is pleasant [PERIOD] Batman is attentive [PERIOD] Batman is zealous [PERIOD] Rules: bright [AND] weary [AND] good [IMPLY] troubled [PERIOD] troubled [IMPLY] good [PERIOD] zealous [IMPLY] attentive [PERIOD] foolish [AND] bright [IMPLY] sleepy [PERIOD] crowded [AND] zealous [AND] foolish [IMPLY] worried [P...
Proof chain: Cannot apply rule “foolish ∧ bright ⇒ sleepy” because missing: foolish, bright. Cannot apply rule “confused ∧ quaint ⇒ sleepy” because missing: confused, quaint. Cannot apply rule “good ∧ attentive ⇒ sleepy” because missing: good. pleasant ⇒ comfortable comfortable ⇒ crowded Cannot apply ...
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Facts: Batman is hurt [PERIOD] Batman is thoughtless [PERIOD] Batman is gorgeous [PERIOD] Rules: friendly [AND] clumsy [AND] powerful [IMPLY] gorgeous [PERIOD] wandering [IMPLY] thoughtless [PERIOD] clumsy [IMPLY] gorgeous [PERIOD] dishonest [IMPLY] gorgeous [PERIOD] thoughtless [AND] wandering [AND] dishonest [IMPLY]...
Proof chain: hurt ⇒ wandering Cannot apply rule “thoughtless ∧ wandering ∧ dishonest ⇒ rude” because missing: dishonest. Cannot apply rule “gorgeous ∧ dishonest ⇒ rude” because missing: dishonest. hurt ⇒ wandering wandering ⇒ strange Cannot apply rule “sleepy ∧ gorgeous ∧ strange ⇒ rude” because missi...
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Facts: Batman is powerful [PERIOD] Batman is careless [PERIOD] Batman is fearless [PERIOD] Batman is talkative [PERIOD] Rules: stupid [AND] inquisitive [IMPLY] powerful [PERIOD] calm [AND] fearless [IMPLY] tender [PERIOD] cute [AND] ugliest [IMPLY] reserved [PERIOD] cruel [AND] beautiful [AND] courageous [IMPLY] fearl...
Proof chain: powerful ⇒ polite talkative ∧ careless ⇒ elated polite ∧ elated ⇒ reserved powerful ⇒ polite talkative ∧ careless ⇒ elated polite ∧ elated ⇒ reserved reserved ⇒ combative reserved ∧ combative ∧ careless ⇒ frail talkative ∧ careless ⇒ elated talkative ⇒ cruel frail ∧ elated ...
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Facts: Batman is hilarious [PERIOD] Batman is ugly [PERIOD] Batman is stubborn [PERIOD] Rules: joyous [IMPLY] ugly [PERIOD] plain [AND] messy [AND] outstanding [IMPLY] talented [PERIOD] friendly [AND] messy [IMPLY] ugly [PERIOD] joyous [AND] glamorous [IMPLY] friendly [PERIOD] messy [AND] hilarious [AND] alert [IMPLY]...
Proof chain: ugly ⇒ ambitious ugly ⇒ ambitious ambitious ⇒ bossy bossy ⇒ joyous ugly ⇒ ambitious ambitious ⇒ bossy bossy ⇒ joyous hilarious ∧ joyous ∧ ugly ⇒ glamorous joyous ∧ glamorous ⇒ friendly ambitious ∧ friendly ∧ stubborn ⇒ outstanding Cannot apply rule “plain ∧ messy ∧ outstand...
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Facts: Batman is curious [PERIOD] Batman is attentive [PERIOD] Batman is lonely [PERIOD] Batman is polite [PERIOD] Rules: curious [AND] wrong [IMPLY] zealous [PERIOD] talkative [IMPLY] sensible [PERIOD] shy [IMPLY] rational [PERIOD] curious [AND] rational [AND] polite [IMPLY] charming [PERIOD] polite [AND] hilarious [...
Proof chain: lonely ⇒ careless careless ⇒ diplomatic diplomatic ∧ lonely ∧ polite ⇒ sensible polite ⇒ different polite ⇒ different different ∧ attentive ⇒ silly silly ⇒ muddy attentive ∧ lonely ⇒ stormy stormy ⇒ blushing muddy ∧ blushing ⇒ wrong sensible ∧ different ∧ wrong ⇒ confident
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Facts: Batman is adorable [PERIOD] Batman is talkative [PERIOD] Batman is lonely [PERIOD] Batman is hurt [PERIOD] Batman is victorious [PERIOD] Rules: curious [AND] sensible [AND] ugliest [IMPLY] nervous [PERIOD] fine [AND] victorious [AND] distinct [IMPLY] adorable [PERIOD] gleaming [IMPLY] nervous [PERIOD] nervous [...
Proof chain: talkative ⇒ gleaming gleaming ⇒ nervous victorious ∧ nervous ⇒ distinct Cannot apply rule “distinct ∧ frightened ∧ ugliest ⇒ fine” because missing: frightened, ugliest. Cannot apply rule “curious ∧ innocent ⇒ fine” because missing: curious, innocent. lonely ⇒ supportive Cannot apply ru...
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Facts: Batman is difficult [PERIOD] Batman is confident [PERIOD] Batman is bored [PERIOD] Rules: victorious [IMPLY] difficult [PERIOD] difficult [AND] gifted [AND] bored [IMPLY] mysterious [PERIOD] difficult [IMPLY] agreeable [PERIOD] victorious [AND] bored [IMPLY] agreeable [PERIOD] victorious [AND] hurt [IMPLY] bore...
Proof chain: difficult ⇒ agreeable difficult ⇒ agreeable agreeable ∧ bored ⇒ mysterious mysterious ⇒ hurt difficult ⇒ agreeable agreeable ∧ bored ⇒ mysterious mysterious ⇒ average difficult ⇒ agreeable agreeable ∧ bored ⇒ mysterious average ∧ mysterious ⇒ unpleasant agreeable ∧ hurt ∧ u...
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Facts: Batman is dishonest [PERIOD] Rules: inquisitive [AND] unpleasant [IMPLY] victorious [PERIOD] excited [AND] witty [IMPLY] scared [PERIOD] victorious [IMPLY] easy [PERIOD] impatient [AND] reserved [AND] stupid [IMPLY] witty [PERIOD] proud [IMPLY] stupid [PERIOD] impatient [IMPLY] witty [PERIOD] hypocritical [AND]...
Proof chain: dishonest ⇒ witty witty ⇒ ugliest ugliest ⇒ inquisitive dishonest ⇒ friendly dishonest ⇒ witty witty ⇒ ugliest ugliest ⇒ inquisitive dishonest ⇒ witty inquisitive ∧ witty ⇒ easy friendly ∧ easy ⇒ unpleasant inquisitive ∧ unpleasant ⇒ victorious
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Facts: Batman is polite [PERIOD] Batman is rude [PERIOD] Batman is long [PERIOD] Batman is tense [PERIOD] Batman is mysterious [PERIOD] Batman is ugly [PERIOD] Batman is old-fashioned [PERIOD] Batman is stupid [PERIOD] Rules: old-fashioned [AND] polite [AND] quaint [IMPLY] bright [PERIOD] hilarious [AND] excited [AND]...
Proof chain: long ⇒ distinct distinct ⇒ hilarious old-fashioned ⇒ gleaming hilarious ∧ gleaming ⇒ fine old-fashioned ⇒ gleaming gleaming ∧ tense ⇒ lucky long ⇒ distinct distinct ⇒ shy fine ∧ lucky ∧ shy ⇒ fearless polite ⇒ excited fearless ∧ excited ∧ long ⇒ talented
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Facts: Batman is shiny [PERIOD] Rules: curious [AND] horrible [AND] shiny [IMPLY] stubborn [PERIOD] fine [IMPLY] inquisitive [PERIOD] stubborn [IMPLY] helpless [PERIOD] inquisitive [AND] quaint [AND] fine [IMPLY] zealous [PERIOD] quaint [AND] inquisitive [IMPLY] homely [PERIOD] shiny [AND] innocent [IMPLY] joyous [PER...
Proof chain: shiny ⇒ horrible horrible ⇒ bad-tempered bad-tempered ⇒ quaint Cannot apply rule “quaint ∧ inquisitive ⇒ homely” because missing: inquisitive. Cannot apply rule “joyous ∧ wandering ∧ shiny ⇒ homely” because missing: joyous, wandering. Cannot apply rule “inquisitive ∧ anxious ⇒ homely” bec...
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Facts: Batman is thoughtless [PERIOD] Batman is thoughtful [PERIOD] Batman is lucky [PERIOD] Batman is helpless [PERIOD] Rules: helpless [AND] easy [IMPLY] plain [PERIOD] fine [IMPLY] clean [PERIOD] perfect [AND] precious [AND] thoughtful [IMPLY] easy [PERIOD] weary [AND] mysterious [AND] fine [IMPLY] clean [PERIOD] e...
Proof chain: helpless ⇒ fine fine ⇒ precious lucky ⇒ tame helpless ∧ tame ⇒ pleasant Cannot apply rule “precious ∧ pleasant ∧ easy ⇒ tense” because missing: easy. Cannot apply rule “mysterious ⇒ tense” because missing: mysterious. thoughtful ⇒ exuberant lucky ⇒ tame lucky ∧ tame ⇒ weary ex...
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