Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is helpless [PERIOD] Batman is tender [PERIOD] Rules: innocent [AND] inquisitive [IMPLY] stormy [PERIOD] stormy [AND] clean [AND] rational [IMPLY] frail [PERIOD] strange [IMPLY] gleaming [PERIOD] helpless [AND] strange [AND] fragile [IMPLY] light [PERIOD] plain [AND] distinct [AND] inquisitive [IMPLY] cl...
Proof chain: helpless ∧ tender ⇒ inquisitive Cannot apply rule “rational ∧ inquisitive ⇒ distinct” because missing: rational. Cannot apply rule “plain ∧ tender ⇒ distinct” because missing: plain. tender ⇒ spotless Cannot apply rule “tender ∧ embarrassed ∧ spotless ⇒ distinct” because missing: embarrassed...
0
11
Facts: Rules: inexpensive [IMPLY] precious [PERIOD] horrible [IMPLY] proud [PERIOD] vivacious [IMPLY] thoughtful [PERIOD] inexpensive [AND] combative [AND] anxious [IMPLY] helpless [PERIOD] dull [AND] straightforward [IMPLY] cute [PERIOD] inexpensive [IMPLY] horrible [PERIOD] dull [AND] thoughtful [AND] horrible [IMPL...
Proof chain: Cannot apply rule “precious ⇒ vivacious” because missing: precious. Cannot apply rule “horrible ∧ cute ∧ straightforward ⇒ vivacious” because missing: horrible, cute, straightforward. Cannot apply rule “combative ⇒ vivacious” because missing: combative. Cannot apply rule “grumpy ⇒ vivacious” be...
0
11
Facts: Batman is stupid [PERIOD] Batman is wide-eyed [PERIOD] Batman is gorgeous [PERIOD] Batman is enchanting [PERIOD] Batman is hilarious [PERIOD] Rules: tidy [AND] bored [IMPLY] ugliest [PERIOD] fearless [AND] supportive [IMPLY] ugliest [PERIOD] enchanting [IMPLY] silly [PERIOD] stupid [AND] gifted [IMPLY] gorgeous...
Proof chain: enchanting ⇒ frail frail ⇒ bored bored ⇒ ugliest enchanting ⇒ frail frail ⇒ bored wide-eyed ∧ bored ⇒ foolish enchanting ⇒ frail frail ⇒ bored wide-eyed ∧ bored ⇒ foolish enchanting ∧ foolish ⇒ lucky ugliest ∧ foolish ∧ lucky ⇒ muddy
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11
Facts: Batman is naughty [PERIOD] Batman is elegant [PERIOD] Batman is joyous [PERIOD] Rules: impatient [AND] easy [AND] talented [IMPLY] fine [PERIOD] worried [AND] talented [AND] fancy [IMPLY] impartial [PERIOD] ugliest [IMPLY] victorious [PERIOD] bright [AND] gifted [AND] frantic [IMPLY] worrisome [PERIOD] friendly...
Proof chain: joyous ⇒ busy busy ∧ joyous ⇒ easy easy ⇒ bossy bossy ⇒ rational joyous ⇒ busy busy ⇒ fancy joyous ⇒ busy busy ∧ joyous ⇒ easy easy ⇒ bossy fancy ∧ bossy ⇒ talented rational ∧ talented ⇒ lucky
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11
Facts: Batman is supportive [PERIOD] Batman is shiny [PERIOD] Batman is tired [PERIOD] Batman is bright [PERIOD] Rules: quaint [AND] cooperative [AND] comfortable [IMPLY] amused [PERIOD] shiny [AND] rational [IMPLY] confident [PERIOD] amused [AND] different [AND] fancy [IMPLY] comfortable [PERIOD] shiny [AND] amused [...
Proof chain: shiny ⇒ amused amused ⇒ quaint shiny ⇒ amused shiny ⇒ amused shiny ⇒ amused amused ⇒ quaint shiny ∧ amused ∧ quaint ⇒ loving loving ⇒ proud shiny ⇒ amused proud ∧ amused ⇒ different quaint ∧ amused ∧ different ⇒ selfish
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11
Facts: Batman is glamorous [PERIOD] Rules: tame [AND] bad-tempered [IMPLY] plain [PERIOD] difficult [AND] talented [AND] ugliest [IMPLY] bright [PERIOD] wrong [AND] glamorous [IMPLY] aggressive [PERIOD] tame [IMPLY] aggressive [PERIOD] shy [AND] wrong [IMPLY] smart [PERIOD] intellectual [AND] aggressive [AND] comforta...
Proof chain: glamorous ⇒ comfortable comfortable ⇒ wrong wrong ⇒ talented talented ⇒ agreeable agreeable ⇒ tame Cannot apply rule “tame ∧ bad-tempered ⇒ plain” because missing: bad-tempered. glamorous ⇒ comfortable comfortable ⇒ wrong wrong ⇒ talented talented ⇒ agreeable Cannot apply r...
0
11
Facts: Batman is dishonest [PERIOD] Rules: pessimistic [AND] dishonest [AND] worrisome [IMPLY] cute [PERIOD] disobedient [IMPLY] pessimistic [PERIOD] impatient [AND] worrisome [IMPLY] dishonest [PERIOD] light [AND] cute [AND] dishonest [IMPLY] worrisome [PERIOD] impatient [AND] combative [IMPLY] light [PERIOD] worriso...
Proof chain: dishonest ⇒ gifted Cannot apply rule “worrisome ∧ gifted ⇒ impatient” because missing: worrisome. Cannot apply rule “light ∧ combative ⇒ impatient” because missing: light, combative. Cannot apply rule “worrisome ⇒ impatient” because missing: worrisome. dishonest ⇒ gifted Cannot apply rule...
0
11
Facts: Batman is perfect [PERIOD] Batman is worrisome [PERIOD] Batman is crowded [PERIOD] Batman is thoughtful [PERIOD] Batman is sensible [PERIOD] Batman is wrong [PERIOD] Rules: combative [AND] perfect [AND] tired [IMPLY] crowded [PERIOD] inquisitive [AND] frantic [IMPLY] impatient [PERIOD] helpless [AND] impatient ...
Proof chain: perfect ⇒ shy shy ⇒ helpless Cannot apply rule “modern ∧ helpless ∧ perfect ⇒ bad-tempered” because missing: modern. perfect ⇒ shy shy ⇒ helpless Cannot apply rule “helpless ∧ tired ∧ grumpy ⇒ bad-tempered” because missing: tired, grumpy. perfect ∧ worrisome ⇒ frantic perfect ∧ worr...
0
11
Facts: Batman is pleasant [PERIOD] Batman is distinct [PERIOD] Batman is modern [PERIOD] Batman is smart [PERIOD] Rules: impatient [AND] distinct [AND] stubborn [IMPLY] scared [PERIOD] modern [AND] broad-minded [IMPLY] wrong [PERIOD] pleasant [AND] worrisome [AND] strange [IMPLY] intellectual [PERIOD] strange [AND] wo...
Proof chain: smart ⇒ impatient Cannot apply rule “impatient ∧ distinct ∧ stubborn ⇒ scared” because missing: stubborn. modern ⇒ worrisome smart ⇒ good Cannot apply rule “talkative ∧ worrisome ∧ good ⇒ scared” because missing: talkative. Cannot apply rule “intellectual ∧ pleasant ⇒ scared” because miss...
0
11
Facts: Batman is good [PERIOD] Batman is modern [PERIOD] Batman is alert [PERIOD] Rules: impartial [AND] alert [IMPLY] weary [PERIOD] wrong [AND] modern [AND] busy [IMPLY] good [PERIOD] excited [AND] tame [AND] average [IMPLY] muddy [PERIOD] quaint [IMPLY] cruel [PERIOD] strange [AND] impartial [AND] cruel [IMPLY] wea...
Proof chain: alert ⇒ zealous zealous ⇒ quaint alert ⇒ zealous modern ⇒ busy modern ⇒ busy busy ⇒ average busy ∧ average ∧ modern ⇒ cruel alert ⇒ zealous zealous ⇒ quaint zealous ∧ cruel ∧ quaint ⇒ excited quaint ∧ excited ⇒ strange
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11
Facts: Batman is straightforward [PERIOD] Batman is bad-tempered [PERIOD] Batman is impartial [PERIOD] Batman is helpful [PERIOD] Batman is difficult [PERIOD] Batman is dull [PERIOD] Batman is rude [PERIOD] Batman is tidy [PERIOD] Rules: thoughtless [AND] versatile [IMPLY] busy [PERIOD] dull [AND] bad-tempered [IMPLY]...
Proof chain: dull ∧ bad-tempered ⇒ vivacious bad-tempered ∧ vivacious ⇒ plain difficult ⇒ average dull ⇒ elated average ∧ elated ∧ tidy ⇒ powerful dull ∧ impartial ∧ bad-tempered ⇒ busy plain ∧ powerful ∧ busy ⇒ curious curious ⇒ frail difficult ⇒ average average ⇒ mean frail ∧ mean ⇒ r...
1
11
Facts: Batman is sensible [PERIOD] Batman is thoughtful [PERIOD] Batman is clumsy [PERIOD] Rules: famous [AND] clumsy [AND] excited [IMPLY] sensible [PERIOD] cooperative [IMPLY] plain [PERIOD] wrong [IMPLY] hypocritical [PERIOD] naughty [AND] thoughtless [AND] excited [IMPLY] anxious [PERIOD] clumsy [AND] naughty [AND...
Proof chain: thoughtful ⇒ plain plain ⇒ excited thoughtful ⇒ plain plain ⇒ adorable excited ∧ adorable ⇒ naughty clumsy ⇒ fine thoughtful ⇒ plain fine ∧ plain ⇒ thoughtless thoughtful ⇒ plain plain ⇒ excited naughty ∧ thoughtless ∧ excited ⇒ anxious
1
11
Facts: Batman is wandering [PERIOD] Batman is blushing [PERIOD] Batman is talkative [PERIOD] Rules: embarrassed [IMPLY] shy [PERIOD] ugliest [AND] wandering [AND] serious [IMPLY] glamorous [PERIOD] serious [IMPLY] impartial [PERIOD] shy [AND] talkative [IMPLY] tense [PERIOD] serious [AND] joyous [AND] shy [IMPLY] emba...
Proof chain: talkative ⇒ tense tense ∧ blushing ⇒ glamorous glamorous ⇒ bright blushing ⇒ cute bright ∧ cute ⇒ condemned blushing ⇒ cute talkative ∧ cute ⇒ serious talkative ∧ blushing ⇒ impartial condemned ∧ serious ∧ impartial ⇒ shy Cannot apply rule “blushing ∧ adorable ∧ shy ⇒ mysterio...
0
11
Facts: Batman is powerful [PERIOD] Batman is helpful [PERIOD] Batman is innocent [PERIOD] Rules: outstanding [AND] powerful [AND] inquisitive [IMPLY] comfortable [PERIOD] strange [AND] hilarious [IMPLY] helpful [PERIOD] inquisitive [AND] alert [IMPLY] sincere [PERIOD] polite [IMPLY] helpful [PERIOD] hypocritical [AND]...
Proof chain: powerful ⇒ comfortable comfortable ⇒ alert alert ⇒ dull Cannot apply rule “muddy ∧ dull ⇒ gifted” because missing: muddy. powerful ⇒ comfortable comfortable ⇒ alert alert ⇒ dull Cannot apply rule “helpful ∧ vivacious ∧ dull ⇒ gifted” because missing: vivacious. powerful ⇒ comfort...
0
11
Facts: Batman is aggressive [PERIOD] Batman is intellectual [PERIOD] Batman is agreeable [PERIOD] Batman is impatient [PERIOD] Batman is sleepy [PERIOD] Batman is elegant [PERIOD] Batman is selfish [PERIOD] Batman is clumsy [PERIOD] Rules: uptight [IMPLY] glamorous [PERIOD] gleaming [IMPLY] impatient [PERIOD] gleaming...
Proof chain: impatient ⇒ smart sleepy ∧ smart ⇒ weary weary ⇒ gleaming gleaming ∧ clumsy ⇒ outstanding impatient ⇒ smart sleepy ∧ smart ⇒ weary impatient ⇒ smart sleepy ∧ smart ⇒ weary weary ⇒ gleaming aggressive ∧ gleaming ⇒ helpful outstanding ∧ weary ∧ helpful ⇒ amused
1
11
Facts: Batman is wandering [PERIOD] Batman is confused [PERIOD] Batman is polite [PERIOD] Batman is homely [PERIOD] Batman is light [PERIOD] Rules: shiny [AND] ugly [IMPLY] shy [PERIOD] messy [AND] ugly [IMPLY] helpful [PERIOD] rational [IMPLY] tired [PERIOD] uptight [AND] horrible [IMPLY] spotless [PERIOD] difficult ...
Proof chain: polite ⇒ messy confused ∧ messy ∧ light ⇒ quaint polite ⇒ messy polite ⇒ ugly messy ∧ ugly ⇒ helpful polite ⇒ messy messy ⇒ difficult homely ∧ polite ∧ difficult ⇒ amused polite ⇒ ugly amused ∧ ugly ∧ wandering ⇒ shiny quaint ∧ helpful ∧ shiny ⇒ uptight
1
11
Facts: Batman is attractive [PERIOD] Batman is zealous [PERIOD] Batman is impatient [PERIOD] Rules: attractive [AND] thoughtless [IMPLY] quaint [PERIOD] impatient [AND] fancy [IMPLY] popular [PERIOD] talkative [AND] beautiful [IMPLY] outstanding [PERIOD] rational [IMPLY] popular [PERIOD] fancy [IMPLY] easy [PERIOD] ou...
Proof chain: attractive ⇒ worried worried ⇒ outstanding zealous ⇒ rational outstanding ∧ rational ∧ attractive ⇒ fancy zealous ⇒ rational rational ⇒ popular popular ⇒ beautiful zealous ⇒ rational rational ⇒ popular popular ⇒ helpless fancy ∧ beautiful ∧ helpless ⇒ talkative
1
11
Facts: Batman is friendly [PERIOD] Batman is glamorous [PERIOD] Batman is serious [PERIOD] Rules: glamorous [IMPLY] average [PERIOD] modern [IMPLY] serious [PERIOD] silly [AND] stupid [AND] mean [IMPLY] talented [PERIOD] mean [AND] wrong [IMPLY] modern [PERIOD] modern [AND] talented [IMPLY] serious [PERIOD] glamorous ...
Proof chain: glamorous ⇒ modern serious ∧ modern ⇒ talented glamorous ⇒ modern talented ∧ modern ⇒ beautiful serious ∧ friendly ∧ beautiful ⇒ careless glamorous ⇒ modern serious ∧ modern ⇒ talented Cannot apply rule “careless ∧ talented ∧ stupid ⇒ silly” because missing: stupid. Cannot apply ...
0
11
Facts: Batman is shy [PERIOD] Batman is hilarious [PERIOD] Batman is unpleasant [PERIOD] Rules: silly [AND] polite [IMPLY] careless [PERIOD] hilarious [AND] silly [IMPLY] polite [PERIOD] outrageous [AND] careless [IMPLY] zealous [PERIOD] sleepy [AND] shy [IMPLY] loving [PERIOD] outrageous [AND] tense [IMPLY] modern [P...
Proof chain: unpleasant ⇒ careless careless ⇒ supportive supportive ⇒ zealous unpleasant ⇒ careless careless ⇒ supportive supportive ⇒ zealous zealous ⇒ combative unpleasant ⇒ careless careless ⇒ thoughtful zealous ∧ combative ∧ thoughtful ⇒ spotless spotless ⇒ naughty
1
11
Facts: Batman is tidy [PERIOD] Batman is vivacious [PERIOD] Batman is elated [PERIOD] Rules: victorious [AND] disobedient [AND] diplomatic [IMPLY] cruel [PERIOD] stormy [AND] old-fashioned [AND] weary [IMPLY] cute [PERIOD] vivacious [IMPLY] old-fashioned [PERIOD] tidy [AND] bad-tempered [IMPLY] attentive [PERIOD] vict...
Proof chain: Cannot apply rule “lonely ∧ plain ⇒ tired” because missing: lonely, plain. vivacious ⇒ old-fashioned old-fashioned ⇒ charming charming ⇒ stormy vivacious ⇒ old-fashioned stormy ∧ old-fashioned ⇒ weary Cannot apply rule “weary ∧ mean ⇒ tired” because missing: mean. vivacious ⇒ old-fa...
0
11
Facts: Batman is attractive [PERIOD] Batman is sensible [PERIOD] Rules: anxious [IMPLY] precious [PERIOD] clumsy [IMPLY] fragile [PERIOD] confused [IMPLY] fearless [PERIOD] glamorous [AND] aggressive [IMPLY] charming [PERIOD] anxious [IMPLY] clumsy [PERIOD] strange [AND] pleasant [IMPLY] attentive [PERIOD] rude [AND] ...
Proof chain: Cannot apply rule “charming ⇒ pleasant” because missing: charming. Cannot apply rule “tender ∧ confused ⇒ pleasant” because missing: tender, confused. sensible ∧ attractive ⇒ strange strange ⇒ fearless fearless ⇒ attentive sensible ∧ attractive ⇒ strange strange ⇒ fearless attentive...
0
11
Facts: Batman is sleepy [PERIOD] Rules: gorgeous [AND] tense [IMPLY] sleepy [PERIOD] attractive [AND] enchanting [AND] unpleasant [IMPLY] sleepy [PERIOD] tense [AND] attentive [IMPLY] tame [PERIOD] unpleasant [AND] disgusted [AND] wide-eyed [IMPLY] tame [PERIOD] attractive [IMPLY] wide-eyed [PERIOD] disgusted [IMPLY] ...
Proof chain: sleepy ⇒ gorgeous Cannot apply rule “tense ∧ gorgeous ⇒ disgusted” because missing: tense. Cannot apply rule “unpleasant ∧ enchanting ∧ attractive ⇒ disgusted” because missing: unpleasant, enchanting, attractive. sleepy ⇒ gorgeous Cannot apply rule “unpleasant ∧ gorgeous ∧ frantic ⇒ disguste...
0
11
Facts: Batman is alert [PERIOD] Rules: attractive [AND] amused [IMPLY] gorgeous [PERIOD] amused [AND] gorgeous [AND] attentive [IMPLY] talkative [PERIOD] amused [AND] light [IMPLY] sensible [PERIOD] amused [IMPLY] attractive [PERIOD] amused [AND] talkative [AND] sensible [IMPLY] attentive [PERIOD] amused [AND] rude [I...
Proof chain: alert ⇒ confused alert ∧ confused ⇒ attractive alert ⇒ confused alert ∧ confused ⇒ attractive attractive ⇒ attentive alert ⇒ confused alert ∧ confused ⇒ attractive attractive ⇒ sensible sensible ⇒ talkative attentive ∧ alert ∧ talkative ⇒ amused attractive ∧ amused ⇒ gorgeo...
1
11
Facts: Batman is loving [PERIOD] Batman is helpless [PERIOD] Rules: horrible [AND] alert [AND] bossy [IMPLY] reserved [PERIOD] clean [AND] disobedient [AND] worried [IMPLY] broad-minded [PERIOD] loving [AND] broad-minded [AND] grumpy [IMPLY] clean [PERIOD] helpless [IMPLY] serious [PERIOD] serious [AND] helpless [IMPL...
Proof chain: helpless ⇒ serious serious ∧ helpless ⇒ alert Cannot apply rule “horrible ∧ alert ∧ bossy ⇒ reserved” because missing: horrible, bossy. helpless ⇒ serious serious ⇒ worried worried ⇒ fancy Cannot apply rule “fancy ∧ bossy ⇒ reserved” because missing: bossy. helpless ⇒ serious hel...
0
11
Facts: Batman is impatient [PERIOD] Batman is condemned [PERIOD] Batman is friendly [PERIOD] Batman is spotless [PERIOD] Rules: frightened [AND] ugliest [AND] witty [IMPLY] friendly [PERIOD] average [AND] wrong [AND] hilarious [IMPLY] witty [PERIOD] different [AND] combative [IMPLY] hilarious [PERIOD] glamorous [IMPLY...
Proof chain: impatient ⇒ witty witty ⇒ average condemned ⇒ shy shy ⇒ perfect condemned ⇒ shy impatient ⇒ witty witty ⇒ different shy ∧ different ⇒ hurt average ∧ perfect ∧ hurt ⇒ glamorous impatient ⇒ witty glamorous ∧ witty ⇒ wrong
1
11
Facts: Batman is muddy [PERIOD] Rules: polite [IMPLY] clean [PERIOD] inquisitive [AND] strange [AND] muddy [IMPLY] clean [PERIOD] aggressive [IMPLY] muddy [PERIOD] polite [AND] talented [IMPLY] naughty [PERIOD] inquisitive [AND] plain [AND] talkative [IMPLY] bad-tempered [PERIOD] muddy [IMPLY] mean [PERIOD] talented [...
Proof chain: muddy ⇒ inquisitive muddy ⇒ mean mean ∧ muddy ⇒ clean muddy ⇒ mean clean ∧ mean ⇒ talented inquisitive ∧ talented ⇒ inexpensive muddy ⇒ bad-tempered inexpensive ∧ bad-tempered ⇒ aggressive muddy ⇒ bad-tempered muddy ⇒ mean aggressive ∧ bad-tempered ∧ mean ⇒ polite
1
11
Facts: Batman is fine [PERIOD] Batman is sensible [PERIOD] Batman is clumsy [PERIOD] Batman is powerful [PERIOD] Batman is precious [PERIOD] Batman is embarrassed [PERIOD] Batman is crowded [PERIOD] Batman is cute [PERIOD] Batman is distinct [PERIOD] Batman is dishonest [PERIOD] Batman is diplomatic [PERIOD] Rules: cl...
Proof chain: clumsy ⇒ shiny diplomatic ∧ powerful ⇒ straightforward sensible ⇒ enchanting diplomatic ∧ powerful ∧ enchanting ⇒ mean diplomatic ∧ powerful ⇒ straightforward mean ∧ straightforward ⇒ ambitious shiny ∧ straightforward ∧ ambitious ⇒ gorgeous powerful ⇒ inexpensive sensible ∧ gorge...
1
11
Facts: Batman is cooperative [PERIOD] Batman is famous [PERIOD] Batman is dishonest [PERIOD] Rules: cooperative [AND] loving [AND] gorgeous [IMPLY] dishonest [PERIOD] famous [AND] excited [AND] clumsy [IMPLY] fancy [PERIOD] fancy [AND] fine [AND] friendly [IMPLY] perfect [PERIOD] perfect [AND] shy [AND] weary [IMPLY] ...
Proof chain: cooperative ⇒ condemned condemned ∧ dishonest ⇒ friendly cooperative ∧ friendly ⇒ elegant famous ⇒ rude elegant ∧ rude ⇒ excited cooperative ⇒ condemned dishonest ⇒ embarrassed famous ∧ condemned ∧ embarrassed ⇒ shy cooperative ∧ shy ⇒ straightforward straightforward ⇒ clumsy ...
1
11
Facts: Batman is bored [PERIOD] Rules: worried [AND] disobedient [IMPLY] troubled [PERIOD] troubled [AND] fine [IMPLY] condemned [PERIOD] condemned [AND] plain [AND] worried [IMPLY] outrageous [PERIOD] combative [IMPLY] curious [PERIOD] nervous [AND] troubled [IMPLY] bored [PERIOD] outrageous [IMPLY] curious [PERIOD] ...
Proof chain: bored ⇒ amused amused ⇒ sensible sensible ⇒ easy Cannot apply rule “easy ∧ fine ⇒ loving” because missing: fine. bored ⇒ amused amused ⇒ sensible sensible ⇒ easy Cannot apply rule “supportive ∧ nervous ∧ easy ⇒ loving” because missing: supportive, nervous. Cannot apply rule “stor...
0
11
Facts: Batman is bored [PERIOD] Batman is talented [PERIOD] Batman is gleaming [PERIOD] Rules: outrageous [IMPLY] powerful [PERIOD] talented [AND] strange [IMPLY] bad-tempered [PERIOD] versatile [AND] bored [AND] crowded [IMPLY] polite [PERIOD] nervous [AND] talented [AND] strange [IMPLY] intellectual [PERIOD] strange...
Proof chain: bored ⇒ popular Cannot apply rule “polite ∧ popular ⇒ elated” because missing: polite. bored ⇒ calm talented ∧ calm ⇒ pessimistic Cannot apply rule “pessimistic ∧ troubled ⇒ elated” because missing: troubled. bored ⇒ popular popular ⇒ powerful Cannot apply rule “crowded ∧ helpful ∧ ...
0
11
Facts: Batman is sincere [PERIOD] Batman is smart [PERIOD] Batman is thoughtless [PERIOD] Rules: shy [IMPLY] rational [PERIOD] different [AND] easy [AND] lonely [IMPLY] clumsy [PERIOD] thoughtless [AND] wandering [IMPLY] joyous [PERIOD] crowded [AND] outrageous [AND] shiny [IMPLY] lonely [PERIOD] long [AND] nervous [I...
Proof chain: smart ⇒ sensible sensible ⇒ rational smart ⇒ sensible sensible ⇒ rational smart ⇒ sensible rational ∧ sensible ⇒ curious smart ⇒ long long ⇒ frightened curious ∧ sincere ∧ frightened ⇒ lonely smart ⇒ spotless rational ∧ lonely ∧ spotless ⇒ impartial
1
11
Facts: Batman is bright [PERIOD] Rules: easy [AND] bright [AND] stubborn [IMPLY] mysterious [PERIOD] exuberant [AND] bright [AND] easy [IMPLY] worried [PERIOD] bright [AND] worried [AND] stubborn [IMPLY] confused [PERIOD] easy [AND] confused [AND] zealous [IMPLY] bright [PERIOD] naughty [AND] confused [IMPLY] mysterio...
Proof chain: bright ⇒ exuberant exuberant ⇒ easy easy ⇒ naughty bright ⇒ exuberant bright ⇒ exuberant exuberant ⇒ easy exuberant ∧ bright ∧ easy ⇒ worried bright ⇒ confused confused ⇒ wide-eyed naughty ∧ worried ∧ wide-eyed ⇒ stubborn stubborn ⇒ zealous
1
11
Facts: Batman is disgusted [PERIOD] Rules: helpful [AND] busy [IMPLY] difficult [PERIOD] glamorous [IMPLY] muddy [PERIOD] helpful [AND] old-fashioned [IMPLY] bossy [PERIOD] bossy [AND] reserved [IMPLY] busy [PERIOD] plain [AND] old-fashioned [AND] innocent [IMPLY] broad-minded [PERIOD] helpful [IMPLY] horrible [PERIOD...
Proof chain: disgusted ⇒ old-fashioned old-fashioned ⇒ innocent innocent ⇒ muddy disgusted ⇒ old-fashioned old-fashioned ⇒ bossy muddy ∧ bossy ⇒ impatient disgusted ⇒ old-fashioned old-fashioned ⇒ bossy bossy ⇒ talkative impatient ∧ talkative ⇒ unpleasant unpleasant ⇒ dishonest
1
11
Facts: Batman is bad-tempered [PERIOD] Batman is adorable [PERIOD] Batman is horrible [PERIOD] Rules: different [AND] amused [AND] outstanding [IMPLY] wandering [PERIOD] amused [IMPLY] versatile [PERIOD] zealous [AND] dull [AND] cute [IMPLY] different [PERIOD] talkative [AND] outstanding [AND] easy [IMPLY] dishonest [...
Proof chain: adorable ⇒ dull dull ∧ bad-tempered ⇒ outstanding outstanding ⇒ amused amused ⇒ versatile versatile ⇒ different adorable ⇒ dull dull ∧ bad-tempered ⇒ outstanding outstanding ⇒ amused adorable ⇒ dull dull ∧ bad-tempered ⇒ outstanding different ∧ amused ∧ outstanding ⇒ wander...
1
11
Facts: Batman is famous [PERIOD] Batman is disobedient [PERIOD] Batman is aggressive [PERIOD] Batman is embarrassed [PERIOD] Batman is busy [PERIOD] Batman is friendly [PERIOD] Rules: tidy [AND] fragile [AND] gleaming [IMPLY] wrong [PERIOD] gleaming [AND] average [IMPLY] enchanting [PERIOD] troubled [AND] attentive [I...
Proof chain: Cannot apply rule “gleaming ∧ average ⇒ enchanting” because missing: gleaming, average. embarrassed ⇒ fragile fragile ⇒ courageous friendly ⇒ vivacious vivacious ⇒ condemned courageous ∧ condemned ⇒ serious Cannot apply rule “rational ∧ messy ∧ serious ⇒ enchanting” because missing: ra...
0
11
Facts: Batman is ugliest [PERIOD] Batman is jittery [PERIOD] Rules: frail [AND] glamorous [AND] mysterious [IMPLY] ugliest [PERIOD] old-fashioned [IMPLY] sleepy [PERIOD] exuberant [AND] aggressive [AND] old-fashioned [IMPLY] scared [PERIOD] ugliest [IMPLY] tired [PERIOD] glamorous [IMPLY] jittery [PERIOD] tired [AND] ...
Proof chain: Cannot apply rule “exuberant ∧ aggressive ∧ old-fashioned ⇒ scared” because missing: exuberant, aggressive, old-fashioned. Cannot apply rule “mysterious ∧ old-fashioned ⇒ scared” because missing: mysterious, old-fashioned. Cannot apply rule “old-fashioned ∧ wandering ∧ inexpensive ⇒ scared” becaus...
0
11
Facts: Batman is elegant [PERIOD] Rules: versatile [AND] elegant [IMPLY] uptight [PERIOD] grumpy [IMPLY] horrible [PERIOD] horrible [IMPLY] grumpy [PERIOD] mean [AND] proud [AND] unpleasant [IMPLY] grumpy [PERIOD] versatile [AND] grumpy [IMPLY] unpleasant [PERIOD] horrible [IMPLY] proud [PERIOD] modern [AND] grumpy [I...
Proof chain: elegant ⇒ horrible horrible ⇒ selfish elegant ⇒ horrible horrible ⇒ grumpy grumpy ⇒ uptight elegant ⇒ horrible horrible ⇒ proud selfish ∧ uptight ∧ proud ⇒ versatile elegant ⇒ horrible horrible ⇒ grumpy versatile ∧ grumpy ⇒ unpleasant
1
11
Facts: Batman is dishonest [PERIOD] Batman is blushing [PERIOD] Batman is stormy [PERIOD] Batman is courageous [PERIOD] Batman is impartial [PERIOD] Batman is proud [PERIOD] Batman is fine [PERIOD] Rules: enchanting [IMPLY] mean [PERIOD] confused [AND] impatient [AND] aggressive [IMPLY] dishonest [PERIOD] ambitious [A...
Proof chain: courageous ⇒ cooperative cooperative ∧ impartial ⇒ hypocritical stormy ⇒ frail frail ⇒ strange hypocritical ∧ strange ⇒ curious courageous ⇒ enchanting impartial ⇒ impatient impatient ⇒ shiny shiny ∧ impartial ⇒ average enchanting ∧ average ⇒ hurt curious ∧ hurt ⇒ confused
1
11
Facts: Batman is wrong [PERIOD] Batman is homely [PERIOD] Batman is fine [PERIOD] Batman is famous [PERIOD] Batman is ugliest [PERIOD] Batman is victorious [PERIOD] Batman is diplomatic [PERIOD] Batman is pessimistic [PERIOD] Batman is hypocritical [PERIOD] Rules: agreeable [IMPLY] victorious [PERIOD] careless [AND] e...
Proof chain: wrong ⇒ curious curious ⇒ difficult victorious ∧ difficult ⇒ careless wrong ⇒ curious careless ∧ curious ⇒ outrageous pessimistic ⇒ hurt outrageous ∧ hurt ∧ wrong ⇒ clean wrong ⇒ curious curious ⇒ difficult difficult ⇒ proud Cannot apply rule “amused ∧ clean ∧ proud ⇒ disgu...
0
11
Facts: Batman is joyous [PERIOD] Batman is stormy [PERIOD] Rules: worried [AND] gleaming [IMPLY] strange [PERIOD] confident [AND] bossy [AND] outstanding [IMPLY] excited [PERIOD] shiny [IMPLY] joyous [PERIOD] outstanding [IMPLY] beautiful [PERIOD] thoughtless [IMPLY] bossy [PERIOD] bossy [AND] outrageous [AND] talente...
Proof chain: joyous ⇒ frightened stormy ⇒ outrageous outrageous ⇒ strange joyous ⇒ frightened joyous ∧ frightened ⇒ gleaming joyous ⇒ frightened stormy ⇒ outrageous outrageous ⇒ strange strange ⇒ confident gleaming ∧ frightened ∧ confident ⇒ comfortable frightened ∧ strange ∧ comfortabl...
1
11
Facts: Batman is rational [PERIOD] Batman is thoughtless [PERIOD] Batman is beautiful [PERIOD] Rules: cute [AND] unpleasant [AND] stubborn [IMPLY] spotless [PERIOD] cute [AND] polite [IMPLY] messy [PERIOD] tired [IMPLY] frail [PERIOD] polite [AND] cute [IMPLY] horrible [PERIOD] uptight [AND] spotless [AND] unpleasant ...
Proof chain: beautiful ⇒ spotless beautiful ⇒ spotless spotless ⇒ famous rational ∧ famous ⇒ pleasant pleasant ⇒ courageous beautiful ⇒ spotless spotless ⇒ famous rational ∧ famous ⇒ pleasant pleasant ⇒ courageous courageous ⇒ uptight spotless ∧ courageous ∧ uptight ⇒ unpleasant
1
11
Facts: Batman is precious [PERIOD] Batman is sensible [PERIOD] Rules: uptight [AND] homely [IMPLY] cruel [PERIOD] sensible [AND] adorable [AND] homely [IMPLY] precious [PERIOD] gifted [IMPLY] disgusted [PERIOD] condemned [AND] wide-eyed [AND] gifted [IMPLY] straightforward [PERIOD] popular [AND] uptight [IMPLY] courag...
Proof chain: precious ⇒ tired precious ⇒ cruel tired ∧ cruel ⇒ shy shy ⇒ uptight precious ⇒ cruel uptight ∧ cruel ⇒ popular precious ⇒ tired precious ⇒ cruel tired ∧ cruel ⇒ shy precious ∧ shy ⇒ courageous popular ∧ sensible ∧ courageous ⇒ adorable
1
11
Facts: Batman is unpleasant [PERIOD] Batman is ugliest [PERIOD] Batman is grumpy [PERIOD] Batman is strange [PERIOD] Batman is scared [PERIOD] Rules: sensible [AND] scared [IMPLY] clumsy [PERIOD] talented [AND] clumsy [AND] uptight [IMPLY] inexpensive [PERIOD] scared [AND] uptight [AND] inexpensive [IMPLY] messy [PERI...
Proof chain: ugliest ∧ unpleasant ⇒ versatile scared ∧ versatile ⇒ uptight strange ⇒ tender tender ⇒ talented grumpy ⇒ dull dull ⇒ condemned condemned ⇒ clumsy ugliest ∧ unpleasant ⇒ versatile scared ∧ versatile ⇒ uptight talented ∧ clumsy ∧ uptight ⇒ inexpensive scared ∧ uptight ∧ inex...
1
11
Facts: Batman is gifted [PERIOD] Batman is disobedient [PERIOD] Batman is thoughtless [PERIOD] Rules: troubled [AND] serious [AND] frail [IMPLY] good [PERIOD] fine [IMPLY] lonely [PERIOD] troubled [AND] elated [AND] hypocritical [IMPLY] clean [PERIOD] excited [IMPLY] hypocritical [PERIOD] thoughtless [AND] frail [AND]...
Proof chain: thoughtless ⇒ talkative thoughtless ⇒ talkative thoughtless ⇒ talkative talkative ⇒ friendly friendly ⇒ excited talkative ∧ excited ⇒ condemned thoughtless ⇒ talkative talkative ⇒ friendly friendly ⇒ excited excited ⇒ sincere talkative ∧ condemned ∧ sincere ⇒ serious
1
11
Facts: Batman is proud [PERIOD] Batman is shy [PERIOD] Batman is versatile [PERIOD] Rules: long [AND] versatile [IMPLY] amused [PERIOD] mean [AND] excited [IMPLY] troubled [PERIOD] elegant [AND] mean [AND] adorable [IMPLY] excited [PERIOD] versatile [AND] amused [AND] proud [IMPLY] long [PERIOD] plain [IMPLY] troubled...
Proof chain: proud ⇒ old-fashioned versatile ∧ old-fashioned ⇒ adorable adorable ⇒ elegant proud ⇒ old-fashioned versatile ∧ old-fashioned ⇒ adorable proud ⇒ old-fashioned shy ∧ adorable ∧ old-fashioned ⇒ smart smart ⇒ mean proud ⇒ old-fashioned versatile ∧ old-fashioned ⇒ adorable eleg...
1
11
Facts: Batman is joyous [PERIOD] Batman is curious [PERIOD] Batman is strange [PERIOD] Batman is inexpensive [PERIOD] Rules: fine [AND] hurt [IMPLY] intellectual [PERIOD] foolish [AND] horrible [IMPLY] inexpensive [PERIOD] stubborn [AND] disobedient [AND] shiny [IMPLY] charming [PERIOD] strange [AND] joyous [IMPLY] go...
Proof chain: joyous ⇒ dull dull ⇒ clean strange ∧ joyous ⇒ good joyous ⇒ dull dull ⇒ disobedient joyous ⇒ dull dull ⇒ disobedient disobedient ⇒ charming disobedient ∧ charming ⇒ bright clean ∧ good ∧ bright ⇒ foolish inexpensive ∧ foolish ⇒ confused
1
11
Facts: Batman is troubled [PERIOD] Batman is excited [PERIOD] Rules: supportive [AND] excited [IMPLY] troubled [PERIOD] troubled [AND] mysterious [AND] elegant [IMPLY] worried [PERIOD] supportive [IMPLY] impartial [PERIOD] selfish [IMPLY] supportive [PERIOD] impartial [AND] embarrassed [AND] rational [IMPLY] tense [PE...
Proof chain: excited ⇒ worried worried ⇒ frantic frantic ⇒ fragile fragile ∧ excited ⇒ mysterious mysterious ⇒ embarrassed excited ∧ embarrassed ⇒ smart excited ⇒ worried worried ⇒ frantic frantic ⇒ impartial smart ∧ impartial ⇒ bored bored ⇒ horrible
1
11
Facts: Batman is thoughtful [PERIOD] Batman is zealous [PERIOD] Rules: elegant [AND] embarrassed [IMPLY] tame [PERIOD] impartial [AND] tense [IMPLY] straightforward [PERIOD] zealous [AND] elegant [IMPLY] famous [PERIOD] famous [IMPLY] tense [PERIOD] enchanting [IMPLY] tense [PERIOD] thoughtful [AND] tense [AND] zealou...
Proof chain: zealous ⇒ beautiful beautiful ⇒ easy easy ⇒ mysterious zealous ⇒ beautiful beautiful ⇒ easy easy ∧ thoughtful ⇒ supportive zealous ⇒ beautiful beautiful ⇒ easy easy ∧ thoughtful ⇒ supportive supportive ⇒ enchanting mysterious ∧ supportive ∧ enchanting ⇒ straightforward
1
11
Facts: Batman is impartial [PERIOD] Batman is silly [PERIOD] Batman is tidy [PERIOD] Batman is pessimistic [PERIOD] Batman is unpleasant [PERIOD] Batman is inexpensive [PERIOD] Batman is gifted [PERIOD] Batman is stubborn [PERIOD] Rules: beautiful [AND] attentive [IMPLY] impartial [PERIOD] stubborn [IMPLY] exuberant [...
Proof chain: tidy ∧ impartial ⇒ tired impartial ⇒ friendly tired ∧ friendly ⇒ anxious anxious ⇒ victorious silly ∧ victorious ⇒ amused tidy ∧ impartial ⇒ tired impartial ⇒ friendly tired ∧ friendly ⇒ anxious anxious ⇒ victorious victorious ⇒ smart amused ∧ smart ∧ tidy ⇒ easy
1
11
Facts: Batman is straightforward [PERIOD] Batman is cooperative [PERIOD] Batman is difficult [PERIOD] Batman is elated [PERIOD] Batman is fancy [PERIOD] Rules: loving [AND] uptight [IMPLY] supportive [PERIOD] fancy [IMPLY] talented [PERIOD] beautiful [AND] distinct [IMPLY] gifted [PERIOD] serious [AND] quaint [IMPLY] ...
Proof chain: Cannot apply rule “victorious ⇒ quaint” because missing: victorious. cooperative ⇒ powerful fancy ⇒ talented cooperative ⇒ powerful talented ∧ powerful ∧ straightforward ⇒ diplomatic diplomatic ⇒ bored elated ⇒ stupid stupid ⇒ gifted bored ∧ gifted ∧ fancy ⇒ distinct difficult...
0
11
Facts: Batman is inquisitive [PERIOD] Batman is worrisome [PERIOD] Batman is impatient [PERIOD] Batman is busy [PERIOD] Batman is wide-eyed [PERIOD] Batman is victorious [PERIOD] Batman is popular [PERIOD] Rules: jittery [AND] fine [AND] crowded [IMPLY] famous [PERIOD] hurt [AND] messy [AND] attractive [IMPLY] worriso...
Proof chain: impatient ⇒ confused confused ⇒ witty impatient ∧ witty ⇒ jittery impatient ⇒ confused confused ∧ victorious ⇒ crowded Cannot apply rule “jittery ∧ fine ∧ crowded ⇒ famous” because missing: fine. Cannot apply rule “messy ⇒ famous” because missing: messy. Cannot apply rule “silly ∧ i...
0
11
Facts: Batman is talented [PERIOD] Batman is silly [PERIOD] Rules: hypocritical [AND] mean [AND] pessimistic [IMPLY] talented [PERIOD] excited [IMPLY] hypocritical [PERIOD] wide-eyed [AND] thoughtless [AND] frail [IMPLY] talented [PERIOD] talented [IMPLY] frail [PERIOD] helpful [IMPLY] talented [PERIOD] frail [AND] su...
Proof chain: talented ⇒ frail frail ⇒ helpful talented ⇒ frail frail ⇒ helpful helpful ∧ silly ⇒ modern Cannot apply rule “mean ∧ helpful ∧ modern ⇒ anxious” because missing: mean. talented ⇒ frail frail ⇒ helpful helpful ∧ silly ⇒ modern Cannot apply rule “modern ∧ excited ⇒ anxious” beca...
0
11
Facts: Batman is intellectual [PERIOD] Rules: careless [IMPLY] fine [PERIOD] careless [AND] clean [IMPLY] intellectual [PERIOD] sleepy [AND] old-fashioned [AND] precious [IMPLY] fine [PERIOD] tense [AND] clean [IMPLY] dishonest [PERIOD] ugliest [AND] uptight [IMPLY] careless [PERIOD] thoughtless [AND] clean [AND] upti...
Proof chain: Cannot apply rule “ugliest ⇒ uptight” because missing: ugliest. intellectual ⇒ clean clean ⇒ careless careless ⇒ fine fine ∧ intellectual ⇒ old-fashioned intellectual ⇒ clean clean ⇒ careless careless ⇒ fine fine ⇒ sleepy Cannot apply rule “thoughtless ∧ old-fashioned ∧ sleepy...
0
11
Facts: Batman is bossy [PERIOD] Rules: cooperative [AND] grumpy [IMPLY] beautiful [PERIOD] bossy [IMPLY] modern [PERIOD] uptight [IMPLY] gleaming [PERIOD] clean [AND] uptight [IMPLY] serious [PERIOD] joyous [AND] aggressive [AND] impartial [IMPLY] perfect [PERIOD] hurt [IMPLY] shiny [PERIOD] amused [IMPLY] tender [PER...
Proof chain: Cannot apply rule “amused ⇒ tender” because missing: amused. bossy ⇒ modern modern ⇒ hurt hurt ⇒ shiny shiny ⇒ grumpy Cannot apply rule “grumpy ∧ quaint ⇒ tender” because missing: quaint. bossy ⇒ modern modern ⇒ hurt hurt ⇒ shiny shiny ⇒ mysterious Cannot apply rule “myster...
0
11
Facts: Batman is famous [PERIOD] Batman is gifted [PERIOD] Rules: tender [AND] crowded [IMPLY] good [PERIOD] silly [IMPLY] homely [PERIOD] fancy [IMPLY] silly [PERIOD] weary [IMPLY] gifted [PERIOD] embarrassed [IMPLY] homely [PERIOD] crowded [IMPLY] fancy [PERIOD] silly [AND] innocent [AND] frightened [IMPLY] tender [...
Proof chain: famous ⇒ tender tender ⇒ fancy fancy ⇒ silly silly ⇒ homely famous ⇒ tender famous ⇒ tender tender ⇒ fancy tender ∧ fancy ⇒ worrisome worrisome ⇒ good homely ∧ good ⇒ troubled troubled ⇒ weary
1
11
Facts: Batman is outrageous [PERIOD] Batman is cooperative [PERIOD] Batman is foolish [PERIOD] Rules: tender [AND] foolish [AND] amused [IMPLY] fearless [PERIOD] troubled [AND] mysterious [AND] clumsy [IMPLY] distinct [PERIOD] bright [IMPLY] mysterious [PERIOD] tender [AND] different [AND] foolish [IMPLY] bad-tempered...
Proof chain: outrageous ⇒ bright bright ⇒ mysterious foolish ⇒ worrisome outrageous ⇒ bright bright ⇒ different different ⇒ tidy worrisome ∧ tidy ∧ outrageous ⇒ sleepy mysterious ∧ sleepy ⇒ troubled troubled ⇒ pleasant pleasant ⇒ clumsy cooperative ∧ clumsy ⇒ tender
1
11
Facts: Batman is perfect [PERIOD] Batman is disgusted [PERIOD] Batman is gleaming [PERIOD] Batman is bright [PERIOD] Batman is gorgeous [PERIOD] Batman is talented [PERIOD] Batman is muddy [PERIOD] Rules: perfect [IMPLY] courageous [PERIOD] glamorous [AND] worrisome [AND] muddy [IMPLY] light [PERIOD] inexpensive [AND]...
Proof chain: talented ⇒ exuberant perfect ⇒ glamorous talented ⇒ exuberant exuberant ∧ gorgeous ⇒ clumsy talented ⇒ exuberant clumsy ∧ gleaming ∧ exuberant ⇒ stubborn perfect ⇒ courageous stubborn ∧ courageous ⇒ worrisome glamorous ∧ worrisome ∧ muddy ⇒ light exuberant ∧ light ∧ muddy ⇒ co...
1
11
Facts: Batman is curious [PERIOD] Batman is tame [PERIOD] Rules: thoughtful [AND] curious [IMPLY] uptight [PERIOD] frightened [AND] curious [IMPLY] victorious [PERIOD] combative [IMPLY] troubled [PERIOD] zealous [AND] curious [AND] hilarious [IMPLY] uptight [PERIOD] proud [IMPLY] careless [PERIOD] difficult [AND] frig...
Proof chain: tame ⇒ easy curious ⇒ troubled tame ⇒ easy easy ∧ curious ⇒ stupid troubled ∧ stupid ⇒ uptight easy ∧ uptight ⇒ zealous curious ⇒ troubled tame ⇒ easy easy ∧ curious ⇒ stupid troubled ∧ stupid ⇒ uptight zealous ∧ uptight ⇒ aggressive
1
11
Facts: Batman is scared [PERIOD] Rules: comfortable [AND] talkative [AND] enchanting [IMPLY] disgusted [PERIOD] friendly [AND] scared [IMPLY] tense [PERIOD] scared [AND] enchanting [AND] bored [IMPLY] tense [PERIOD] frightened [AND] lucky [AND] comfortable [IMPLY] agreeable [PERIOD] comfortable [AND] good [IMPLY] luck...
Proof chain: scared ⇒ fine fine ⇒ sincere Cannot apply rule “combative ∧ sincere ⇒ talkative” because missing: combative. Cannot apply rule “good ∧ comfortable ⇒ talkative” because missing: good, comfortable. Cannot apply rule “powerful ∧ pleasant ⇒ talkative” because missing: powerful, pleasant. Cann...
0
11
Facts: Batman is outstanding [PERIOD] Batman is frantic [PERIOD] Rules: lucky [AND] frantic [AND] outstanding [IMPLY] cooperative [PERIOD] lucky [AND] precious [IMPLY] frail [PERIOD] worried [IMPLY] outstanding [PERIOD] cooperative [AND] clean [AND] frail [IMPLY] precious [PERIOD] cooperative [AND] lucky [AND] frantic...
Proof chain: outstanding ∧ frantic ⇒ frail frail ⇒ zealous outstanding ⇒ cooperative cooperative ⇒ dishonest dishonest ⇒ precious precious ⇒ lucky outstanding ⇒ cooperative outstanding ⇒ cooperative cooperative ⇒ dishonest cooperative ∧ frantic ∧ dishonest ⇒ clean zealous ∧ lucky ∧ clea...
1
11
Facts: Batman is outstanding [PERIOD] Batman is smart [PERIOD] Batman is curious [PERIOD] Rules: helpless [AND] joyous [IMPLY] broad-minded [PERIOD] helpless [AND] gorgeous [AND] average [IMPLY] curious [PERIOD] light [IMPLY] wandering [PERIOD] attentive [AND] cute [IMPLY] difficult [PERIOD] helpless [AND] outrageous ...
Proof chain: smart ⇒ cute Cannot apply rule “attentive ∧ cute ⇒ difficult” because missing: attentive. smart ⇒ cute cute ∧ smart ⇒ comfortable Cannot apply rule “comfortable ∧ helpless ⇒ difficult” because missing: helpless. Cannot apply rule “wandering ∧ outrageous ∧ attentive ⇒ difficult” because mi...
0
11
Facts: Batman is elated [PERIOD] Batman is grumpy [PERIOD] Rules: troubled [AND] disobedient [IMPLY] victorious [PERIOD] embarrassed [AND] worrisome [AND] frantic [IMPLY] grumpy [PERIOD] frantic [AND] troubled [IMPLY] worrisome [PERIOD] worrisome [AND] embarrassed [IMPLY] disobedient [PERIOD] worrisome [AND] troubled ...
Proof chain: elated ∧ grumpy ⇒ disobedient disobedient ⇒ bright grumpy ⇒ embarrassed Cannot apply rule “bright ∧ embarrassed ∧ frantic ⇒ homely” because missing: frantic. elated ∧ grumpy ⇒ disobedient disobedient ⇒ bright grumpy ⇒ embarrassed Cannot apply rule “bright ∧ troubled ∧ embarrassed ⇒ ...
0
11
Facts: Batman is sincere [PERIOD] Batman is shy [PERIOD] Rules: ugly [AND] perfect [IMPLY] frightened [PERIOD] blushing [AND] perfect [IMPLY] muddy [PERIOD] blushing [AND] disobedient [IMPLY] impatient [PERIOD] excited [AND] tender [IMPLY] impatient [PERIOD] shy [AND] frightened [AND] light [IMPLY] perfect [PERIOD] co...
Proof chain: shy ⇒ horrible horrible ⇒ light Cannot apply rule “shy ∧ frightened ∧ light ⇒ perfect” because missing: frightened. shy ⇒ horrible horrible ⇒ light Cannot apply rule “frightened ∧ light ∧ comfortable ⇒ perfect” because missing: frightened, comfortable. shy ⇒ horrible horrible ⇒ ligh...
0
11
Facts: Batman is difficult [PERIOD] Batman is selfish [PERIOD] Batman is homely [PERIOD] Batman is ugly [PERIOD] Batman is unpleasant [PERIOD] Batman is muddy [PERIOD] Rules: adorable [AND] easy [AND] quaint [IMPLY] witty [PERIOD] easy [AND] disobedient [IMPLY] modern [PERIOD] mean [IMPLY] combative [PERIOD] selfish [...
Proof chain: Cannot apply rule “easy ∧ disobedient ⇒ modern” because missing: easy, disobedient. Cannot apply rule “disobedient ⇒ modern” because missing: disobedient. selfish ⇒ mean Cannot apply rule “long ∧ mean ⇒ modern” because missing: long. selfish ⇒ horrible muddy ∧ horrible ∧ unpleasant ⇒ comb...
0
11
Facts: Batman is elated [PERIOD] Rules: tame [AND] ugliest [AND] elated [IMPLY] helpful [PERIOD] helpful [AND] elegant [IMPLY] helpless [PERIOD] condemned [AND] rude [IMPLY] tidy [PERIOD] precious [AND] tidy [IMPLY] rude [PERIOD] helpful [IMPLY] helpless [PERIOD] ugliest [IMPLY] fearless [PERIOD] bad-tempered [IMPLY] ...
Proof chain: Cannot apply rule “condemned ∧ rude ⇒ tidy” because missing: condemned, rude. Cannot apply rule “bad-tempered ⇒ tidy” because missing: bad-tempered. Cannot apply rule “condemned ∧ tame ∧ helpful ⇒ tidy” because missing: condemned, tame, helpful. Cannot apply rule “elated ∧ long ⇒ tidy” because ...
0
11
Facts: Batman is fearless [PERIOD] Batman is courageous [PERIOD] Batman is impatient [PERIOD] Rules: innocent [AND] plain [IMPLY] tired [PERIOD] helpless [AND] good [AND] joyous [IMPLY] weary [PERIOD] impatient [IMPLY] innocent [PERIOD] weary [AND] innocent [IMPLY] wide-eyed [PERIOD] messy [AND] courageous [IMPLY] inn...
Proof chain: impatient ⇒ innocent innocent ⇒ grumpy impatient ⇒ innocent innocent ⇒ plain grumpy ∧ fearless ∧ plain ⇒ supportive supportive ⇒ messy impatient ⇒ innocent innocent ⇒ plain messy ∧ plain ⇒ rude rude ⇒ joyous Cannot apply rule “helpless ∧ good ∧ joyous ⇒ weary” because missi...
0
11
Facts: Batman is dishonest [PERIOD] Batman is disobedient [PERIOD] Batman is sincere [PERIOD] Batman is witty [PERIOD] Batman is powerful [PERIOD] Rules: ugliest [AND] sincere [AND] beautiful [IMPLY] inexpensive [PERIOD] witty [IMPLY] muddy [PERIOD] inexpensive [AND] outstanding [IMPLY] comfortable [PERIOD] witty [IMP...
Proof chain: Cannot apply rule “inexpensive ∧ outstanding ⇒ comfortable” because missing: inexpensive, outstanding. disobedient ⇒ condemned Cannot apply rule “ugliest ∧ condemned ⇒ comfortable” because missing: ugliest. witty ⇒ muddy disobedient ⇒ condemned sincere ⇒ popular witty ⇒ muddy condem...
0
11
Facts: Batman is worrisome [PERIOD] Batman is uptight [PERIOD] Batman is pleasant [PERIOD] Rules: pleasant [AND] naughty [AND] confused [IMPLY] bad-tempered [PERIOD] frantic [IMPLY] pleasant [PERIOD] troubled [AND] pleasant [AND] nervous [IMPLY] talented [PERIOD] light [IMPLY] uptight [PERIOD] jittery [AND] troubled [...
Proof chain: uptight ⇒ diplomatic diplomatic ⇒ adorable worrisome ∧ adorable ⇒ helpful pleasant ⇒ witty uptight ⇒ light uptight ⇒ light uptight ⇒ diplomatic light ∧ diplomatic ⇒ talented light ∧ talented ⇒ combative witty ∧ combative ⇒ naughty helpful ∧ naughty ∧ pleasant ⇒ mysterious
1
11
Facts: Batman is selfish [PERIOD] Batman is precious [PERIOD] Batman is condemned [PERIOD] Batman is sincere [PERIOD] Batman is unpleasant [PERIOD] Rules: proud [AND] impartial [IMPLY] busy [PERIOD] clumsy [AND] strange [AND] condemned [IMPLY] busy [PERIOD] foolish [AND] perfect [IMPLY] crowded [PERIOD] condemned [AND...
Proof chain: condemned ∧ sincere ⇒ clumsy condemned ∧ clumsy ∧ precious ⇒ jittery condemned ∧ sincere ⇒ clumsy selfish ∧ unpleasant ∧ clumsy ⇒ foolish foolish ∧ sincere ∧ precious ⇒ impartial jittery ∧ impartial ⇒ long condemned ∧ sincere ⇒ clumsy condemned ∧ clumsy ∧ precious ⇒ jittery jitte...
0
11
Facts: Batman is mean [PERIOD] Rules: mean [IMPLY] jittery [PERIOD] different [IMPLY] messy [PERIOD] different [IMPLY] pleasant [PERIOD] worrisome [AND] mean [IMPLY] shiny [PERIOD] beautiful [AND] victorious [AND] courageous [IMPLY] shiny [PERIOD] pleasant [IMPLY] different [PERIOD] mean [AND] beautiful [AND] shiny [I...
Proof chain: mean ⇒ jittery jittery ⇒ courageous courageous ⇒ beautiful mean ⇒ jittery jittery ⇒ courageous beautiful ∧ courageous ⇒ worrisome mean ⇒ jittery mean ⇒ jittery jittery ⇒ courageous jittery ∧ mean ∧ courageous ⇒ victorious worrisome ∧ victorious ⇒ pleasant
1
11
Facts: Batman is frantic [PERIOD] Batman is straightforward [PERIOD] Batman is anxious [PERIOD] Batman is thoughtless [PERIOD] Batman is busy [PERIOD] Batman is ugliest [PERIOD] Batman is grumpy [PERIOD] Rules: busy [AND] helpless [IMPLY] perfect [PERIOD] stormy [AND] calm [IMPLY] lucky [PERIOD] grumpy [AND] foolish [...
Proof chain: busy ⇒ foolish foolish ⇒ selfish busy ⇒ foolish foolish ⇒ popular straightforward ⇒ cooperative cooperative ∧ grumpy ⇒ perfect busy ⇒ weary perfect ∧ weary ⇒ calm busy ⇒ weary popular ∧ calm ∧ weary ⇒ witty frantic ∧ selfish ∧ witty ⇒ tame
1
11
Facts: Batman is hypocritical [PERIOD] Rules: tame [AND] gifted [AND] nervous [IMPLY] outstanding [PERIOD] stupid [AND] frail [IMPLY] tame [PERIOD] gifted [IMPLY] vivacious [PERIOD] worried [AND] outstanding [IMPLY] frail [PERIOD] adorable [AND] stupid [IMPLY] silly [PERIOD] outstanding [AND] vivacious [IMPLY] adorabl...
Proof chain: Cannot apply rule “stupid ∧ frail ⇒ tame” because missing: stupid, frail. Cannot apply rule “stupid ∧ adorable ⇒ tame” because missing: stupid, adorable. Cannot apply rule “anxious ∧ nervous ⇒ tame” because missing: anxious, nervous. Cannot apply rule “adorable ∧ gifted ⇒ tame” because missing:...
0
11
Facts: Batman is courageous [PERIOD] Batman is hilarious [PERIOD] Rules: hilarious [AND] clean [AND] famous [IMPLY] frightened [PERIOD] hilarious [AND] loving [AND] courageous [IMPLY] elated [PERIOD] zealous [AND] loving [IMPLY] tame [PERIOD] intellectual [AND] confident [AND] elated [IMPLY] modern [PERIOD] nervous [I...
Proof chain: hilarious ⇒ broad-minded courageous ⇒ famous famous ⇒ frail frail ⇒ witty witty ⇒ confident courageous ∧ confident ⇒ elated courageous ⇒ famous famous ⇒ frail frail ∧ courageous ⇒ clean clean ⇒ loving broad-minded ∧ elated ∧ loving ⇒ dishonest
1
11
Facts: Batman is sleepy [PERIOD] Rules: quaint [AND] spotless [AND] average [IMPLY] jittery [PERIOD] average [AND] glamorous [AND] impatient [IMPLY] wandering [PERIOD] cute [AND] wandering [AND] worried [IMPLY] impatient [PERIOD] quaint [AND] exuberant [IMPLY] troubled [PERIOD] cute [AND] jittery [IMPLY] worried [PERI...
Proof chain: sleepy ⇒ dishonest sleepy ∧ dishonest ⇒ average average ⇒ wandering sleepy ⇒ dishonest sleepy ∧ dishonest ⇒ average average ⇒ wandering wandering ⇒ quaint quaint ⇒ cute wandering ∧ cute ⇒ troubled troubled ⇒ outstanding outstanding ⇒ easy
1
11
Facts: Batman is versatile [PERIOD] Batman is average [PERIOD] Rules: bright [AND] frightened [AND] beautiful [IMPLY] distinct [PERIOD] perfect [AND] tidy [AND] average [IMPLY] reserved [PERIOD] bright [IMPLY] powerful [PERIOD] powerful [AND] stubborn [IMPLY] frightened [PERIOD] average [AND] bright [IMPLY] stubborn [...
Proof chain: average ⇒ powerful versatile ∧ powerful ⇒ beautiful beautiful ⇒ bright average ⇒ powerful versatile ∧ powerful ⇒ beautiful average ⇒ powerful beautiful ∧ powerful ⇒ frightened average ⇒ powerful versatile ∧ powerful ⇒ beautiful bright ∧ frightened ∧ beautiful ⇒ distinct Can...
0
11
Facts: Batman is agreeable [PERIOD] Rules: bright [AND] modern [AND] naughty [IMPLY] confused [PERIOD] naughty [AND] agreeable [AND] hypocritical [IMPLY] bright [PERIOD] versatile [AND] confused [AND] modern [IMPLY] agreeable [PERIOD] confused [IMPLY] modern [PERIOD] fancy [AND] confused [AND] hypocritical [IMPLY] upt...
Proof chain: Cannot apply rule “hypocritical ∧ agreeable ∧ versatile ⇒ fancy” because missing: hypocritical, versatile. agreeable ⇒ confused confused ⇒ modern Cannot apply rule “modern ∧ hypocritical ⇒ fancy” because missing: hypocritical. Cannot apply rule “bright ∧ versatile ⇒ fancy” because missing: b...
0
11
Facts: Batman is frightened [PERIOD] Batman is homely [PERIOD] Batman is elegant [PERIOD] Rules: mysterious [AND] polite [AND] light [IMPLY] homely [PERIOD] weary [AND] pleasant [IMPLY] quaint [PERIOD] attractive [AND] sensible [IMPLY] quaint [PERIOD] attractive [IMPLY] mysterious [PERIOD] polite [AND] scared [AND] pl...
Proof chain: elegant ⇒ gleaming elegant ⇒ dull gleaming ∧ dull ⇒ silly silly ⇒ quaint elegant ⇒ gleaming elegant ⇒ dull gleaming ∧ dull ⇒ silly elegant ⇒ gleaming gleaming ⇒ confident confident ⇒ polite quaint ∧ silly ∧ polite ⇒ bad-tempered
1
11
Facts: Batman is fine [PERIOD] Batman is scared [PERIOD] Batman is ugly [PERIOD] Batman is hurt [PERIOD] Batman is spotless [PERIOD] Batman is innocent [PERIOD] Batman is beautiful [PERIOD] Rules: beautiful [AND] spotless [AND] disobedient [IMPLY] precious [PERIOD] precious [AND] jittery [AND] average [IMPLY] worried ...
Proof chain: scared ∧ ugly ⇒ easy innocent ⇒ precious precious ⇒ wide-eyed spotless ⇒ muddy muddy ⇒ worried spotless ∧ hurt ⇒ famous scared ∧ ugly ⇒ easy spotless ⇒ muddy famous ∧ easy ∧ muddy ⇒ tired wide-eyed ∧ worried ∧ tired ⇒ crowded easy ∧ crowded ⇒ gleaming
1
11
Facts: Batman is frantic [PERIOD] Rules: elated [AND] nervous [IMPLY] beautiful [PERIOD] nervous [IMPLY] frantic [PERIOD] beautiful [AND] shiny [IMPLY] lucky [PERIOD] elated [AND] fearless [AND] beautiful [IMPLY] difficult [PERIOD] worrisome [IMPLY] beautiful [PERIOD] shiny [AND] beautiful [IMPLY] comfortable [PERIOD]...
Proof chain: Cannot apply rule “difficult ∧ powerful ⇒ elated” because missing: difficult, powerful. frantic ⇒ comfortable comfortable ∧ frantic ⇒ shiny Cannot apply rule “beautiful ∧ shiny ⇒ elated” because missing: beautiful. Cannot apply rule “difficult ⇒ elated” because missing: difficult. frantic...
0
11
Facts: Batman is ugliest [PERIOD] Rules: vivacious [AND] famous [IMPLY] light [PERIOD] easy [AND] light [AND] sensible [IMPLY] comfortable [PERIOD] jittery [AND] disobedient [AND] easy [IMPLY] shiny [PERIOD] comfortable [AND] disobedient [AND] pessimistic [IMPLY] vivacious [PERIOD] shiny [AND] pessimistic [AND] disobe...
Proof chain: Cannot apply rule “vivacious ⇒ disobedient” because missing: vivacious. ugliest ⇒ famous Cannot apply rule “sensible ∧ famous ⇒ disobedient” because missing: sensible. ugliest ⇒ famous famous ⇒ jittery Cannot apply rule “jittery ∧ vivacious ⇒ disobedient” because missing: vivacious. ug...
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Facts: Batman is worrisome [PERIOD] Rules: ambitious [AND] clumsy [AND] ugliest [IMPLY] gleaming [PERIOD] ambitious [AND] inexpensive [AND] wide-eyed [IMPLY] talented [PERIOD] gleaming [AND] loving [AND] stormy [IMPLY] talented [PERIOD] combative [AND] inexpensive [AND] talented [IMPLY] wide-eyed [PERIOD] wide-eyed [I...
Proof chain: worrisome ⇒ talented talented ⇒ gleaming Cannot apply rule “gleaming ∧ muddy ∧ ugliest ⇒ ambitious” because missing: muddy, ugliest. Cannot apply rule “loving ∧ wide-eyed ⇒ ambitious” because missing: loving, wide-eyed. worrisome ⇒ talented talented ⇒ gleaming Cannot apply rule “inexpe...
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Facts: Batman is cute [PERIOD] Batman is curious [PERIOD] Batman is worried [PERIOD] Rules: aggressive [AND] shy [AND] friendly [IMPLY] bright [PERIOD] nervous [IMPLY] inexpensive [PERIOD] lonely [AND] nervous [IMPLY] stormy [PERIOD] stormy [AND] famous [IMPLY] lonely [PERIOD] friendly [IMPLY] tidy [PERIOD] inexpensiv...
Proof chain: Cannot apply rule “tame ∧ distinct ∧ blushing ⇒ disgusted” because missing: tame, distinct, blushing. Cannot apply rule “distinct ⇒ disgusted” because missing: distinct. worried ⇒ enchanting curious ⇒ perfect perfect ⇒ friendly enchanting ∧ friendly ⇒ nervous nervous ⇒ inexpensive c...
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Facts: Batman is disgusted [PERIOD] Batman is talkative [PERIOD] Batman is plain [PERIOD] Batman is impartial [PERIOD] Batman is combative [PERIOD] Batman is sensible [PERIOD] Rules: worrisome [IMPLY] clumsy [PERIOD] condemned [AND] alert [IMPLY] innocent [PERIOD] shiny [IMPLY] impatient [PERIOD] thoughtful [AND] aler...
Proof chain: sensible ⇒ worrisome worrisome ⇒ clumsy disgusted ⇒ light light ⇒ shiny clumsy ∧ disgusted ∧ shiny ⇒ old-fashioned sensible ⇒ worrisome worrisome ⇒ clumsy combative ⇒ condemned condemned ⇒ shy clumsy ∧ shy ∧ combative ⇒ alert old-fashioned ∧ alert ⇒ cute
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Facts: Batman is talented [PERIOD] Rules: frantic [AND] powerful [IMPLY] ugly [PERIOD] ugly [IMPLY] light [PERIOD] stormy [IMPLY] powerful [PERIOD] stormy [IMPLY] ambitious [PERIOD] light [IMPLY] powerful [PERIOD] joyous [AND] spotless [IMPLY] talented [PERIOD] frantic [IMPLY] light [PERIOD] light [AND] ambitious [AND...
Proof chain: talented ⇒ powerful powerful ⇒ straightforward straightforward ⇒ messy talented ⇒ powerful powerful ⇒ straightforward straightforward ⇒ messy talented ⇒ powerful powerful ⇒ straightforward messy ∧ straightforward ⇒ frantic frantic ⇒ ambitious Cannot apply rule “messy ∧ ambi...
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Facts: Batman is enchanting [PERIOD] Rules: lonely [IMPLY] good [PERIOD] cooperative [AND] distinct [AND] blushing [IMPLY] fine [PERIOD] combative [AND] popular [IMPLY] ambitious [PERIOD] good [AND] enchanting [IMPLY] blushing [PERIOD] supportive [AND] tender [IMPLY] combative [PERIOD] combative [IMPLY] cooperative [P...
Proof chain: enchanting ⇒ tender tender ⇒ bad-tempered bad-tempered ⇒ blushing enchanting ⇒ tender tender ⇒ bad-tempered blushing ∧ bad-tempered ⇒ popular popular ⇒ lucky enchanting ⇒ tender tender ⇒ bad-tempered bad-tempered ⇒ blushing lucky ∧ blushing ∧ enchanting ⇒ lonely
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Facts: Batman is proud [PERIOD] Batman is mysterious [PERIOD] Batman is confused [PERIOD] Rules: supportive [AND] fragile [AND] anxious [IMPLY] confused [PERIOD] calm [AND] broad-minded [IMPLY] troubled [PERIOD] adorable [AND] frightened [AND] broad-minded [IMPLY] troubled [PERIOD] mysterious [AND] calm [IMPLY] fright...
Proof chain: Cannot apply rule “proud ∧ anxious ∧ confused ⇒ clean” because missing: anxious. mysterious ⇒ frightened frightened ⇒ supportive supportive ⇒ joyous mysterious ⇒ frightened mysterious ⇒ frightened frightened ⇒ supportive supportive ⇒ joyous frightened ∧ joyous ⇒ calm joyous ∧ ...
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Facts: Batman is modern [PERIOD] Rules: stupid [AND] bossy [IMPLY] modern [PERIOD] wide-eyed [IMPLY] gleaming [PERIOD] bored [AND] bossy [AND] clumsy [IMPLY] dishonest [PERIOD] different [IMPLY] stupid [PERIOD] modern [IMPLY] stupid [PERIOD] modern [AND] clumsy [IMPLY] different [PERIOD] bored [AND] dishonest [AND] wi...
Proof chain: modern ⇒ stupid stupid ⇒ bored modern ⇒ stupid stupid ∧ modern ⇒ bossy modern ⇒ stupid stupid ∧ modern ⇒ bossy modern ⇒ stupid stupid ⇒ bored modern ⇒ stupid bossy ∧ bored ∧ stupid ⇒ clumsy bored ∧ bossy ∧ clumsy ⇒ dishonest
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Facts: Batman is elated [PERIOD] Rules: thoughtless [IMPLY] clean [PERIOD] smart [AND] diplomatic [AND] dishonest [IMPLY] charming [PERIOD] mysterious [IMPLY] dull [PERIOD] diplomatic [IMPLY] elated [PERIOD] charming [AND] thoughtless [IMPLY] clean [PERIOD] excited [AND] diplomatic [IMPLY] clean [PERIOD] excited [IMPL...
Proof chain: elated ⇒ clean clean ⇒ smart Cannot apply rule “smart ∧ diplomatic ∧ dishonest ⇒ charming” because missing: diplomatic, dishonest. elated ⇒ clean Cannot apply rule “clean ∧ wide-eyed ∧ diplomatic ⇒ charming” because missing: wide-eyed, diplomatic. elated ⇒ clean clean ⇒ smart Cannot...
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Facts: Batman is clumsy [PERIOD] Batman is reserved [PERIOD] Batman is muddy [PERIOD] Batman is stormy [PERIOD] Rules: vivacious [AND] silly [AND] talkative [IMPLY] reserved [PERIOD] messy [AND] disgusted [IMPLY] broad-minded [PERIOD] thoughtful [AND] bored [IMPLY] stormy [PERIOD] bored [AND] talkative [AND] messy [IM...
Proof chain: stormy ⇒ disobedient disobedient ⇒ lucky Cannot apply rule “lucky ∧ frantic ⇒ wrong” because missing: frantic. Cannot apply rule “frantic ⇒ wrong” because missing: frantic. Cannot apply rule “bored ∧ thoughtful ∧ supportive ⇒ wrong” because missing: bored, thoughtful, supportive. Cannot a...
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Facts: Batman is hypocritical [PERIOD] Rules: elegant [IMPLY] modern [PERIOD] zealous [IMPLY] fine [PERIOD] versatile [AND] reserved [IMPLY] fine [PERIOD] bored [IMPLY] uptight [PERIOD] bored [AND] grumpy [IMPLY] hypocritical [PERIOD] fancy [AND] grumpy [IMPLY] dishonest [PERIOD] stubborn [IMPLY] hurt [PERIOD] hurt [A...
Proof chain: hypocritical ⇒ bored bored ⇒ rational rational ⇒ fragile Cannot apply rule “versatile ∧ fragile ⇒ excited” because missing: versatile. hypocritical ⇒ bored bored ⇒ rational rational ⇒ fragile fragile ⇒ elegant elegant ⇒ modern Cannot apply rule “plain ∧ beautiful ∧ modern ⇒ ex...
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Facts: Batman is dishonest [PERIOD] Batman is joyous [PERIOD] Batman is stupid [PERIOD] Rules: joyous [AND] blushing [IMPLY] spotless [PERIOD] spotless [IMPLY] jittery [PERIOD] frantic [AND] calm [IMPLY] frightened [PERIOD] jittery [IMPLY] joyous [PERIOD] sleepy [IMPLY] cruel [PERIOD] frightened [AND] helpful [AND] po...
Proof chain: Cannot apply rule “joyous ∧ blushing ⇒ spotless” because missing: blushing. dishonest ⇒ tense tense ⇒ frantic frantic ⇒ sleepy sleepy ⇒ cruel Cannot apply rule “calm ∧ dishonest ∧ cruel ⇒ spotless” because missing: calm. dishonest ⇒ tense tense ⇒ frantic frantic ⇒ sleepy sleep...
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Facts: Batman is sensible [PERIOD] Batman is charming [PERIOD] Batman is impartial [PERIOD] Rules: charming [AND] outrageous [AND] dull [IMPLY] lucky [PERIOD] disgusted [AND] old-fashioned [IMPLY] impartial [PERIOD] charming [AND] jittery [AND] lucky [IMPLY] old-fashioned [PERIOD] impartial [IMPLY] charming [PERIOD] s...
Proof chain: charming ⇒ jittery jittery ⇒ light charming ⇒ jittery jittery ⇒ light light ⇒ spotless sensible ⇒ supportive supportive ⇒ cruel impartial ∧ spotless ∧ cruel ⇒ outrageous sensible ⇒ supportive supportive ⇒ cruel light ∧ outrageous ∧ cruel ⇒ gleaming
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Facts: Batman is stupid [PERIOD] Batman is proud [PERIOD] Rules: plain [AND] proud [AND] mean [IMPLY] bad-tempered [PERIOD] mysterious [AND] stupid [IMPLY] proud [PERIOD] disobedient [AND] bad-tempered [AND] alert [IMPLY] fragile [PERIOD] plain [AND] mean [IMPLY] proud [PERIOD] bad-tempered [AND] fragile [IMPLY] proud...
Proof chain: stupid ∧ proud ⇒ beautiful beautiful ⇒ fragile stupid ∧ proud ⇒ beautiful beautiful ∧ proud ⇒ busy stupid ∧ proud ⇒ beautiful beautiful ⇒ foolish busy ∧ foolish ⇒ sincere stupid ∧ fragile ∧ sincere ⇒ plain stupid ∧ proud ⇒ beautiful beautiful ⇒ fragile Cannot apply rule “pl...
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Facts: Batman is tired [PERIOD] Batman is alert [PERIOD] Batman is proud [PERIOD] Batman is frantic [PERIOD] Rules: reserved [AND] cruel [IMPLY] rational [PERIOD] condemned [AND] joyous [IMPLY] polite [PERIOD] cruel [AND] nervous [IMPLY] tired [PERIOD] hypocritical [IMPLY] serious [PERIOD] alert [AND] easy [IMPLY] rat...
Proof chain: alert ⇒ rational rational ⇒ condemned proud ⇒ dishonest dishonest ⇒ hypocritical tired ⇒ joyous condemned ∧ hypocritical ∧ joyous ⇒ gifted alert ⇒ rational rational ⇒ condemned tired ⇒ joyous condemned ∧ joyous ⇒ polite gifted ∧ alert ∧ polite ⇒ reserved
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Facts: Batman is frail [PERIOD] Batman is supportive [PERIOD] Rules: supportive [AND] bored [AND] combative [IMPLY] enchanting [PERIOD] enchanting [AND] frail [IMPLY] bored [PERIOD] victorious [AND] supportive [AND] perfect [IMPLY] homely [PERIOD] frail [AND] proud [AND] perfect [IMPLY] strange [PERIOD] strange [AND] ...
Proof chain: supportive ⇒ enchanting enchanting ⇒ ugliest supportive ⇒ jittery supportive ⇒ enchanting enchanting ⇒ ugliest ugliest ⇒ strange supportive ⇒ jittery supportive ⇒ enchanting enchanting ⇒ ugliest strange ∧ jittery ∧ ugliest ⇒ distinct ugliest ∧ jittery ∧ distinct ⇒ good
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Facts: Batman is innocent [PERIOD] Rules: pleasant [IMPLY] versatile [PERIOD] smart [IMPLY] pleasant [PERIOD] innocent [IMPLY] thoughtful [PERIOD] calm [IMPLY] smart [PERIOD] calm [AND] spotless [AND] fine [IMPLY] modern [PERIOD] calm [AND] zealous [IMPLY] witty [PERIOD] zealous [IMPLY] innocent [PERIOD] ugly [IMPLY] ...
Proof chain: Cannot apply rule “calm ⇒ smart” because missing: calm. innocent ⇒ thoughtful Cannot apply rule “thoughtful ∧ pleasant ∧ witty ⇒ smart” because missing: pleasant, witty. Cannot apply rule “spotless ∧ ugly ⇒ smart” because missing: spotless, ugly. innocent ⇒ versatile versatile ⇒ modern ...
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Facts: Batman is hurt [PERIOD] Rules: wandering [AND] ugliest [IMPLY] stupid [PERIOD] wide-eyed [AND] hurt [AND] pessimistic [IMPLY] loving [PERIOD] wandering [AND] glamorous [IMPLY] gorgeous [PERIOD] pessimistic [AND] average [IMPLY] alert [PERIOD] fearless [AND] pessimistic [IMPLY] comfortable [PERIOD] pessimistic [...
Proof chain: hurt ⇒ scared scared ⇒ mean hurt ⇒ average hurt ⇒ scared scared ⇒ comfortable comfortable ⇒ strange average ∧ strange ⇒ wandering hurt ⇒ scared scared ⇒ mean mean ⇒ alert mean ∧ wandering ∧ alert ⇒ glamorous
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Facts: Batman is muddy [PERIOD] Batman is ugliest [PERIOD] Batman is aggressive [PERIOD] Batman is intellectual [PERIOD] Batman is spotless [PERIOD] Batman is ambitious [PERIOD] Batman is tame [PERIOD] Rules: combative [AND] elegant [IMPLY] pleasant [PERIOD] average [AND] impatient [AND] aggressive [IMPLY] intellectua...
Proof chain: aggressive ⇒ dull tame ⇒ tired dull ∧ tired ⇒ diplomatic diplomatic ⇒ homely homely ⇒ average aggressive ⇒ dull tame ⇒ tired dull ∧ tired ⇒ diplomatic diplomatic ⇒ homely homely ⇒ modern Cannot apply rule “average ∧ elegant ∧ modern ⇒ strange” because missing: elegant.
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Facts: Batman is confused [PERIOD] Rules: fearless [AND] average [AND] disgusted [IMPLY] confused [PERIOD] average [AND] elegant [AND] disgusted [IMPLY] sincere [PERIOD] proud [IMPLY] uptight [PERIOD] rational [AND] light [IMPLY] curious [PERIOD] fine [IMPLY] disgusted [PERIOD] curious [AND] fearless [IMPLY] frantic [...
Proof chain: confused ⇒ average average ⇒ enchanting confused ⇒ average enchanting ∧ average ⇒ embarrassed embarrassed ⇒ uptight confused ⇒ average average ⇒ enchanting confused ⇒ average uptight ∧ enchanting ∧ average ⇒ sincere sincere ⇒ elegant confused ∧ elegant ⇒ fearless
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Facts: Batman is unpleasant [PERIOD] Batman is sensible [PERIOD] Rules: helpful [AND] sensible [IMPLY] quaint [PERIOD] shiny [IMPLY] selfish [PERIOD] tired [AND] wandering [IMPLY] selfish [PERIOD] sensible [IMPLY] shiny [PERIOD] talented [AND] straightforward [AND] quaint [IMPLY] lucky [PERIOD] sleepy [AND] tired [IMP...
Proof chain: sensible ⇒ shiny shiny ⇒ selfish selfish ⇒ wandering wandering ⇒ ugliest Cannot apply rule “comfortable ∧ sleepy ∧ ugliest ⇒ ugly” because missing: comfortable, sleepy. Cannot apply rule “proud ∧ talented ∧ straightforward ⇒ ugly” because missing: proud, talented, straightforward. sens...
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