Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is tidy [PERIOD] Batman is dull [PERIOD] Batman is stupid [PERIOD] Batman is ugly [PERIOD] Batman is modern [PERIOD] Batman is elated [PERIOD] Rules: dull [IMPLY] hypocritical [PERIOD] hypocritical [IMPLY] cruel [PERIOD] ambitious [AND] agreeable [IMPLY] cute [PERIOD] hurt [IMPLY] elated [PERIOD] cute [I...
Proof chain: elated ∧ tidy ⇒ sleepy Cannot apply rule “sleepy ∧ friendly ∧ hurt ⇒ disgusted” because missing: friendly, hurt. Cannot apply rule “pessimistic ∧ stupid ⇒ disgusted” because missing: pessimistic. tidy ∧ modern ⇒ ambitious dull ⇒ hypocritical hypocritical ⇒ cruel Cannot apply rule “ambi...
0
9
Facts: Batman is nervous [PERIOD] Batman is shy [PERIOD] Batman is precious [PERIOD] Batman is clean [PERIOD] Batman is stubborn [PERIOD] Batman is loving [PERIOD] Rules: shy [IMPLY] fine [PERIOD] clean [AND] proud [IMPLY] impatient [PERIOD] thoughtless [AND] talkative [AND] hurt [IMPLY] impatient [PERIOD] tired [AND]...
Proof chain: shy ⇒ fragile fragile ⇒ proud shy ⇒ fragile fragile ⇒ proud stubborn ∧ proud ⇒ disobedient shy ⇒ fragile fragile ⇒ sensible proud ∧ disobedient ∧ sensible ⇒ comfortable comfortable ⇒ supportive
1
9
Facts: Batman is lucky [PERIOD] Batman is hilarious [PERIOD] Rules: mysterious [AND] helpless [IMPLY] hilarious [PERIOD] zealous [AND] helpless [AND] mysterious [IMPLY] lucky [PERIOD] mysterious [IMPLY] zealous [PERIOD] zealous [AND] plain [IMPLY] foolish [PERIOD] lucky [IMPLY] foolish [PERIOD] plain [AND] helpless [I...
Proof chain: Cannot apply rule “hilarious ∧ plain ∧ zealous ⇒ helpless” because missing: plain, zealous. lucky ⇒ foolish Cannot apply rule “hilarious ∧ foolish ∧ plain ⇒ helpless” because missing: plain. Cannot apply rule “plain ∧ hilarious ⇒ helpless” because missing: plain. lucky ⇒ foolish Cannot ap...
0
9
Facts: Batman is modern [PERIOD] Batman is condemned [PERIOD] Batman is horrible [PERIOD] Rules: comfortable [AND] condemned [IMPLY] strange [PERIOD] horrible [IMPLY] modern [PERIOD] horrible [AND] strange [IMPLY] polite [PERIOD] modern [IMPLY] condemned [PERIOD] foolish [AND] stormy [IMPLY] comfortable [PERIOD] horri...
Proof chain: condemned ⇒ foolish modern ∧ horrible ∧ foolish ⇒ ambitious ambitious ∧ condemned ⇒ scared scared ∧ horrible ∧ modern ⇒ calm condemned ⇒ foolish modern ∧ horrible ∧ foolish ⇒ ambitious horrible ∧ ambitious ⇒ worried horrible ∧ calm ∧ worried ⇒ comfortable comfortable ⇒ stormy
1
9
Facts: Rules: beautiful [AND] hypocritical [IMPLY] quaint [PERIOD] foolish [IMPLY] bad-tempered [PERIOD] jittery [AND] worrisome [AND] inquisitive [IMPLY] average [PERIOD] wrong [AND] serious [IMPLY] popular [PERIOD] wrong [AND] beautiful [AND] foolish [IMPLY] quaint [PERIOD] jittery [IMPLY] cooperative [PERIOD] busy ...
Proof chain: Cannot apply rule “wrong ∧ serious ⇒ popular” because missing: wrong, serious. Cannot apply rule “hypocritical ∧ calm ⇒ popular” because missing: hypocritical, calm. Cannot apply rule “glamorous ⇒ popular” because missing: glamorous. Cannot apply rule “jittery ⇒ popular” because missing: jitter...
0
9
Facts: Batman is inquisitive [PERIOD] Batman is elated [PERIOD] Batman is cooperative [PERIOD] Batman is precious [PERIOD] Batman is rude [PERIOD] Batman is mean [PERIOD] Rules: rude [AND] talkative [AND] ambitious [IMPLY] anxious [PERIOD] confident [IMPLY] elated [PERIOD] long [IMPLY] messy [PERIOD] supportive [AND] ...
Proof chain: inquisitive ⇒ grumpy cooperative ∧ grumpy ⇒ supportive supportive ⇒ messy cooperative ∧ messy ⇒ talkative elated ∧ precious ∧ talkative ⇒ long long ∧ elated ⇒ embarrassed inquisitive ⇒ grumpy cooperative ∧ grumpy ⇒ supportive elated ∧ embarrassed ∧ supportive ⇒ ambitious
1
9
Facts: Batman is inquisitive [PERIOD] Batman is weary [PERIOD] Rules: worried [AND] disgusted [IMPLY] different [PERIOD] different [AND] smart [IMPLY] proud [PERIOD] naughty [AND] nervous [AND] ugly [IMPLY] different [PERIOD] smart [AND] pessimistic [AND] nervous [IMPLY] naughty [PERIOD] proud [AND] nervous [IMPLY] ug...
Proof chain: inquisitive ⇒ nervous weary ⇒ tired nervous ∧ tired ⇒ worried inquisitive ⇒ nervous inquisitive ∧ weary ∧ nervous ⇒ pessimistic weary ⇒ tired weary ∧ tired ⇒ proud pessimistic ∧ proud ⇒ disgusted worried ∧ disgusted ⇒ talented
1
9
Facts: Batman is wandering [PERIOD] Batman is helpful [PERIOD] Batman is innocent [PERIOD] Batman is reserved [PERIOD] Rules: ambitious [AND] attentive [IMPLY] reserved [PERIOD] average [AND] helpful [IMPLY] tense [PERIOD] ambitious [AND] wandering [AND] thoughtless [IMPLY] horrible [PERIOD] reserved [AND] helpless [I...
Proof chain: Cannot apply rule “cruel ⇒ jittery” because missing: cruel. Cannot apply rule “innocent ∧ attentive ∧ bored ⇒ jittery” because missing: attentive, bored. helpful ⇒ stubborn helpful ⇒ ambitious stubborn ∧ ambitious ⇒ diplomatic innocent ∧ diplomatic ⇒ inexpensive Cannot apply rule “horr...
0
9
Facts: Batman is hypocritical [PERIOD] Batman is broad-minded [PERIOD] Batman is inexpensive [PERIOD] Batman is lucky [PERIOD] Batman is glamorous [PERIOD] Batman is mean [PERIOD] Rules: polite [AND] condemned [IMPLY] straightforward [PERIOD] attractive [AND] lucky [AND] inquisitive [IMPLY] calm [PERIOD] calm [AND] se...
Proof chain: hypocritical ∧ lucky ⇒ blushing blushing ⇒ dishonest dishonest ∧ glamorous ⇒ condemned condemned ⇒ selfish hypocritical ∧ lucky ⇒ blushing blushing ⇒ dishonest dishonest ∧ glamorous ⇒ condemned condemned ⇒ helpless selfish ∧ inexpensive ∧ helpless ⇒ pleasant
1
9
Facts: Batman is sincere [PERIOD] Batman is blushing [PERIOD] Rules: elegant [AND] broad-minded [AND] victorious [IMPLY] inquisitive [PERIOD] difficult [AND] victorious [IMPLY] shy [PERIOD] shy [AND] disgusted [IMPLY] broad-minded [PERIOD] perfect [IMPLY] difficult [PERIOD] difficult [AND] broad-minded [IMPLY] elegant...
Proof chain: sincere ∧ blushing ⇒ inquisitive sincere ∧ blushing ⇒ inquisitive inquisitive ∧ sincere ∧ blushing ⇒ victorious blushing ∧ inquisitive ∧ victorious ⇒ elegant elegant ⇒ disgusted sincere ∧ blushing ⇒ inquisitive inquisitive ∧ sincere ∧ blushing ⇒ victorious victorious ⇒ talented d...
1
9
Facts: Batman is perfect [PERIOD] Batman is shy [PERIOD] Batman is hypocritical [PERIOD] Batman is condemned [PERIOD] Batman is hurt [PERIOD] Batman is courageous [PERIOD] Batman is diplomatic [PERIOD] Rules: aggressive [IMPLY] helpless [PERIOD] broad-minded [AND] versatile [AND] hypocritical [IMPLY] shy [PERIOD] boss...
Proof chain: courageous ⇒ aggressive aggressive ⇒ helpless helpless ⇒ versatile Cannot apply rule “bossy ∧ versatile ∧ ambitious ⇒ mean” because missing: bossy, ambitious. Cannot apply rule “ambitious ∧ fearless ⇒ mean” because missing: ambitious, fearless. courageous ⇒ aggressive aggressive ⇒ help...
0
9
Facts: Batman is messy [PERIOD] Rules: disobedient [AND] enchanting [IMPLY] tidy [PERIOD] enchanting [AND] polite [IMPLY] amused [PERIOD] strange [IMPLY] agreeable [PERIOD] famous [AND] serious [AND] straightforward [IMPLY] disobedient [PERIOD] polite [AND] agreeable [AND] thoughtless [IMPLY] messy [PERIOD] enchanting...
Proof chain: messy ⇒ troubled troubled ⇒ tidy tidy ⇒ agreeable messy ⇒ troubled troubled ⇒ tidy agreeable ∧ tidy ⇒ frantic frantic ⇒ amused amused ⇒ disobedient disobedient ⇒ straightforward
1
9
Facts: Batman is horrible [PERIOD] Rules: bad-tempered [AND] tidy [AND] talkative [IMPLY] hurt [PERIOD] talkative [AND] polite [IMPLY] inquisitive [PERIOD] tired [AND] inquisitive [IMPLY] bad-tempered [PERIOD] horrible [IMPLY] blushing [PERIOD] tired [AND] tidy [IMPLY] polite [PERIOD] hurt [AND] bad-tempered [IMPLY] c...
Proof chain: horrible ⇒ blushing blushing ⇒ cooperative cooperative ⇒ inquisitive horrible ∧ inquisitive ⇒ polite horrible ⇒ blushing blushing ⇒ cooperative cooperative ⇒ inquisitive polite ∧ inquisitive ⇒ tidy tidy ∧ horrible ⇒ wrong
1
9
Facts: Batman is vivacious [PERIOD] Rules: nervous [AND] thoughtful [AND] naughty [IMPLY] distinct [PERIOD] distinct [AND] naughty [AND] cute [IMPLY] lonely [PERIOD] vivacious [IMPLY] fine [PERIOD] cute [AND] loving [IMPLY] talkative [PERIOD] loving [IMPLY] fine [PERIOD] impatient [IMPLY] loving [PERIOD] friendly [IMP...
Proof chain: vivacious ⇒ fine fine ⇒ quaint vivacious ⇒ fine fine ⇒ quaint quaint ⇒ stubborn quaint ∧ vivacious ∧ stubborn ⇒ lonely lonely ⇒ naughty naughty ⇒ nervous nervous ⇒ thoughtful
1
9
Facts: Batman is mean [PERIOD] Batman is confident [PERIOD] Rules: messy [AND] confident [AND] innocent [IMPLY] mean [PERIOD] confident [AND] gleaming [IMPLY] innocent [PERIOD] messy [AND] fancy [IMPLY] confident [PERIOD] confident [AND] messy [AND] careless [IMPLY] gleaming [PERIOD] elegant [AND] pleasant [AND] carel...
Proof chain: confident ⇒ fancy confident ⇒ fancy confident ∧ fancy ⇒ gleaming confident ⇒ fancy confident ∧ fancy ⇒ gleaming confident ∧ gleaming ⇒ innocent gleaming ∧ innocent ⇒ pleasant mean ∧ pleasant ⇒ careless fancy ∧ careless ⇒ clean
1
9
Facts: Batman is uptight [PERIOD] Batman is embarrassed [PERIOD] Rules: popular [AND] sincere [IMPLY] unpleasant [PERIOD] popular [IMPLY] sincere [PERIOD] silly [AND] intellectual [IMPLY] sleepy [PERIOD] muddy [AND] embarrassed [AND] silly [IMPLY] unpleasant [PERIOD] worried [AND] sleepy [AND] intellectual [IMPLY] sma...
Proof chain: embarrassed ⇒ sincere Cannot apply rule “silly ∧ sincere ⇒ perfect” because missing: silly. embarrassed ⇒ popular popular ⇒ intellectual embarrassed ⇒ popular embarrassed ⇒ sincere popular ∧ sincere ⇒ unpleasant intellectual ∧ unpleasant ⇒ stormy Cannot apply rule “embarrassed ∧ ...
0
9
Facts: Batman is stormy [PERIOD] Batman is impartial [PERIOD] Rules: zealous [AND] stormy [AND] bored [IMPLY] bad-tempered [PERIOD] witty [AND] talented [IMPLY] mean [PERIOD] helpful [IMPLY] impartial [PERIOD] bad-tempered [IMPLY] proud [PERIOD] mean [AND] inquisitive [IMPLY] impartial [PERIOD] talented [IMPLY] inquis...
Proof chain: stormy ⇒ helpful helpful ⇒ witty stormy ⇒ helpful stormy ⇒ bored stormy ⇒ helpful helpful ⇒ witty witty ∧ stormy ⇒ bad-tempered impartial ∧ bored ∧ bad-tempered ⇒ zealous witty ∧ helpful ∧ zealous ⇒ tense
1
9
Facts: Batman is hurt [PERIOD] Batman is inquisitive [PERIOD] Batman is weary [PERIOD] Batman is foolish [PERIOD] Rules: embarrassed [IMPLY] light [PERIOD] calm [IMPLY] excited [PERIOD] sincere [AND] impatient [AND] embarrassed [IMPLY] ambitious [PERIOD] light [AND] messy [AND] calm [IMPLY] elegant [PERIOD] weary [IMP...
Proof chain: Cannot apply rule “embarrassed ⇒ light” because missing: embarrassed. Cannot apply rule “excited ∧ impatient ⇒ light” because missing: excited, impatient. Cannot apply rule “calm ⇒ light” because missing: calm. foolish ⇒ witty witty ⇒ gorgeous foolish ⇒ witty Cannot apply rule “gorgeou...
0
9
Facts: Batman is thoughtful [PERIOD] Batman is mysterious [PERIOD] Batman is helpful [PERIOD] Rules: plain [AND] anxious [AND] cruel [IMPLY] lucky [PERIOD] cruel [AND] lucky [IMPLY] tense [PERIOD] frantic [AND] mysterious [IMPLY] adorable [PERIOD] tense [AND] lucky [IMPLY] helpful [PERIOD] lucky [AND] thoughtful [IMPL...
Proof chain: thoughtful ⇒ adorable mysterious ⇒ precious adorable ∧ precious ⇒ plain thoughtful ⇒ tender tender ⇒ cruel Cannot apply rule “plain ∧ anxious ∧ cruel ⇒ lucky” because missing: anxious. Cannot apply rule “helpful ∧ anxious ∧ long ⇒ lucky” because missing: anxious, long. mysterious ⇒ ...
0
9
Facts: Batman is old-fashioned [PERIOD] Batman is pessimistic [PERIOD] Batman is attractive [PERIOD] Batman is curious [PERIOD] Batman is foolish [PERIOD] Batman is pleasant [PERIOD] Batman is hurt [PERIOD] Batman is tender [PERIOD] Batman is rational [PERIOD] Batman is outstanding [PERIOD] Rules: naughty [AND] worris...
Proof chain: hurt ⇒ difficult difficult ⇒ naughty attractive ∧ pessimistic ∧ naughty ⇒ alert alert ⇒ vivacious hurt ⇒ difficult difficult ⇒ naughty attractive ∧ pessimistic ∧ naughty ⇒ alert alert ⇒ beautiful vivacious ∧ beautiful ⇒ lucky
1
9
Facts: Batman is vivacious [PERIOD] Rules: distinct [AND] inexpensive [IMPLY] dull [PERIOD] lonely [AND] precious [IMPLY] distinct [PERIOD] pleasant [AND] distinct [AND] stormy [IMPLY] scared [PERIOD] vivacious [AND] tame [AND] pleasant [IMPLY] homely [PERIOD] elated [AND] tame [AND] stormy [IMPLY] impatient [PERIOD] ...
Proof chain: Cannot apply rule “stormy ∧ fancy ∧ scared ⇒ precious” because missing: stormy, fancy, scared. Cannot apply rule “tame ⇒ precious” because missing: tame. Cannot apply rule “distinct ⇒ precious” because missing: distinct. Cannot apply rule “homely ∧ dull ∧ scared ⇒ precious” because missing: hom...
0
9
Facts: Batman is bright [PERIOD] Batman is exuberant [PERIOD] Rules: outstanding [AND] clean [AND] hilarious [IMPLY] ugly [PERIOD] clean [AND] attractive [IMPLY] inexpensive [PERIOD] inexpensive [AND] exuberant [IMPLY] attractive [PERIOD] impatient [IMPLY] hilarious [PERIOD] tense [AND] hilarious [IMPLY] impatient [PE...
Proof chain: bright ⇒ attractive exuberant ⇒ different different ⇒ hilarious bright ⇒ attractive hilarious ∧ attractive ⇒ wide-eyed exuberant ⇒ different different ⇒ hilarious wide-eyed ∧ hilarious ⇒ helpful exuberant ∧ attractive ∧ helpful ⇒ clean
1
9
Facts: Batman is dishonest [PERIOD] Batman is helpless [PERIOD] Batman is elated [PERIOD] Batman is serious [PERIOD] Batman is victorious [PERIOD] Rules: precious [AND] bright [IMPLY] condemned [PERIOD] wrong [AND] victorious [IMPLY] tense [PERIOD] victorious [AND] foolish [IMPLY] precious [PERIOD] aggressive [AND] th...
Proof chain: helpless ⇒ precious helpless ∧ dishonest ∧ victorious ⇒ bright precious ∧ bright ⇒ condemned helpless ∧ elated ⇒ glamorous condemned ∧ glamorous ⇒ stupid helpless ⇒ precious helpless ∧ dishonest ∧ victorious ⇒ bright precious ∧ bright ⇒ condemned stupid ∧ condemned ∧ victorious ⇒...
1
9
Facts: Batman is cute [PERIOD] Batman is disobedient [PERIOD] Rules: cruel [IMPLY] ugly [PERIOD] naughty [AND] impartial [IMPLY] mean [PERIOD] powerful [AND] lucky [AND] ugly [IMPLY] average [PERIOD] perfect [AND] cruel [IMPLY] lucky [PERIOD] impartial [AND] disobedient [IMPLY] plain [PERIOD] modern [AND] average [IMP...
Proof chain: cute ∧ disobedient ⇒ clean cute ∧ disobedient ⇒ clean clean ⇒ average clean ∧ average ⇒ mean mean ⇒ inquisitive cute ∧ disobedient ⇒ clean clean ⇒ wrong wrong ⇒ victorious inquisitive ∧ victorious ⇒ powerful
1
9
Facts: Batman is jittery [PERIOD] Batman is reserved [PERIOD] Batman is proud [PERIOD] Batman is adorable [PERIOD] Batman is difficult [PERIOD] Rules: worrisome [AND] stupid [IMPLY] proud [PERIOD] wrong [AND] weary [AND] dishonest [IMPLY] stupid [PERIOD] tidy [AND] wrong [IMPLY] fine [PERIOD] uptight [AND] diplomatic ...
Proof chain: adorable ⇒ attentive adorable ∧ attentive ⇒ straightforward straightforward ⇒ wrong jittery ⇒ weary adorable ⇒ attentive attentive ⇒ precious jittery ⇒ weary precious ∧ weary ∧ difficult ⇒ dishonest wrong ∧ weary ∧ dishonest ⇒ stupid
1
9
Facts: Batman is combative [PERIOD] Batman is distinct [PERIOD] Batman is stormy [PERIOD] Batman is ambitious [PERIOD] Batman is sleepy [PERIOD] Batman is impatient [PERIOD] Rules: weary [IMPLY] tense [PERIOD] combative [IMPLY] worrisome [PERIOD] silly [AND] stormy [IMPLY] amused [PERIOD] condemned [AND] jittery [AND]...
Proof chain: Cannot apply rule “dull ⇒ jittery” because missing: dull. ambitious ⇒ frail frail ⇒ stubborn ambitious ⇒ frail frail ⇒ stubborn stubborn ⇒ tender stubborn ∧ tender ⇒ condemned Cannot apply rule “condemned ∧ sleepy ∧ crowded ⇒ jittery” because missing: crowded. Cannot apply rule “...
0
9
Facts: Batman is blushing [PERIOD] Batman is famous [PERIOD] Rules: hurt [AND] cruel [AND] old-fashioned [IMPLY] supportive [PERIOD] calm [AND] charming [IMPLY] blushing [PERIOD] distinct [IMPLY] agreeable [PERIOD] famous [AND] charming [IMPLY] popular [PERIOD] blushing [AND] tidy [IMPLY] cooperative [PERIOD] tidy [AN...
Proof chain: blushing ⇒ cooperative cooperative ⇒ agreeable agreeable ⇒ plain blushing ⇒ cooperative cooperative ⇒ agreeable plain ∧ agreeable ⇒ naughty naughty ⇒ popular popular ⇒ long long ⇒ inquisitive
1
9
Facts: Batman is friendly [PERIOD] Batman is worried [PERIOD] Batman is versatile [PERIOD] Batman is hilarious [PERIOD] Rules: shy [AND] cooperative [IMPLY] stupid [PERIOD] nervous [AND] ugly [IMPLY] victorious [PERIOD] victorious [IMPLY] stupid [PERIOD] hilarious [IMPLY] broad-minded [PERIOD] nervous [AND] lonely [AN...
Proof chain: friendly ⇒ nervous hilarious ⇒ broad-minded friendly ∧ broad-minded ⇒ difficult worried ∧ hilarious ⇒ good good ⇒ lonely difficult ∧ lonely ∧ friendly ⇒ busy busy ∧ versatile ∧ hilarious ⇒ ugly nervous ∧ ugly ⇒ victorious victorious ⇒ stupid
1
9
Facts: Batman is beautiful [PERIOD] Rules: beautiful [AND] impatient [IMPLY] lonely [PERIOD] amused [AND] worrisome [AND] sensible [IMPLY] easy [PERIOD] bad-tempered [IMPLY] easy [PERIOD] easy [AND] lonely [AND] bright [IMPLY] bored [PERIOD] lonely [AND] beautiful [AND] impatient [IMPLY] bad-tempered [PERIOD] impatien...
Proof chain: Cannot apply rule “easy ∧ lonely ∧ bright ⇒ bored” because missing: easy, lonely, bright. Cannot apply rule “comfortable ∧ lonely ∧ serious ⇒ bored” because missing: comfortable, lonely, serious. Cannot apply rule “amused ⇒ bored” because missing: amused. Cannot apply rule “easy ⇒ bored” becaus...
0
9
Facts: Batman is cruel [PERIOD] Rules: sleepy [AND] rude [AND] cruel [IMPLY] horrible [PERIOD] horrible [IMPLY] sleepy [PERIOD] blushing [AND] jittery [IMPLY] sleepy [PERIOD] cruel [AND] jittery [AND] horrible [IMPLY] blushing [PERIOD] blushing [AND] cruel [AND] jittery [IMPLY] sleepy [PERIOD] sleepy [IMPLY] jittery [...
Proof chain: cruel ⇒ jittery jittery ⇒ sleepy Cannot apply rule “sleepy ∧ rude ∧ cruel ⇒ horrible” because missing: rude. Cannot apply rule “blushing ∧ rude ∧ cruel ⇒ horrible” because missing: blushing, rude. cruel ⇒ jittery jittery ⇒ sleepy Cannot apply rule “blushing ∧ rude ∧ sleepy ⇒ horrible” ...
0
9
Facts: Batman is scared [PERIOD] Batman is charming [PERIOD] Rules: charming [IMPLY] polite [PERIOD] strange [AND] scared [AND] charming [IMPLY] proud [PERIOD] dishonest [AND] strange [IMPLY] victorious [PERIOD] proud [AND] dishonest [AND] charming [IMPLY] scared [PERIOD] precious [IMPLY] proud [PERIOD] charming [AND]...
Proof chain: charming ⇒ polite charming ⇒ polite polite ⇒ bright bright ⇒ lucky polite ∧ lucky ⇒ dishonest charming ⇒ polite charming ∧ polite ∧ scared ⇒ proud proud ∧ scared ∧ charming ⇒ strange dishonest ∧ strange ⇒ victorious
1
9
Facts: Batman is combative [PERIOD] Batman is comfortable [PERIOD] Batman is elated [PERIOD] Batman is outstanding [PERIOD] Batman is ambitious [PERIOD] Rules: rational [AND] hypocritical [IMPLY] outstanding [PERIOD] selfish [AND] precious [AND] cooperative [IMPLY] wrong [PERIOD] cooperative [AND] combative [IMPLY] ji...
Proof chain: combative ⇒ frantic frantic ⇒ selfish selfish ⇒ crowded comfortable ∧ crowded ⇒ impatient elated ⇒ modern elated ⇒ modern modern ⇒ blushing modern ∧ elated ∧ blushing ⇒ jittery outstanding ∧ impatient ∧ jittery ⇒ strange
1
9
Facts: Batman is versatile [PERIOD] Rules: fearless [AND] versatile [IMPLY] confused [PERIOD] straightforward [AND] thoughtful [AND] jittery [IMPLY] easy [PERIOD] helpless [AND] condemned [AND] versatile [IMPLY] fancy [PERIOD] polite [AND] uptight [AND] jittery [IMPLY] friendly [PERIOD] uptight [IMPLY] jittery [PERIOD...
Proof chain: Cannot apply rule “helpless ∧ condemned ∧ versatile ⇒ fancy” because missing: helpless, condemned. versatile ⇒ disobedient disobedient ⇒ hurt Cannot apply rule “straightforward ∧ hurt ∧ sleepy ⇒ fancy” because missing: straightforward, sleepy. Cannot apply rule “mean ∧ condemned ∧ versatile ...
0
9
Facts: Batman is average [PERIOD] Batman is tidy [PERIOD] Batman is tired [PERIOD] Batman is wandering [PERIOD] Batman is disobedient [PERIOD] Rules: wandering [AND] lonely [IMPLY] curious [PERIOD] proud [AND] bad-tempered [IMPLY] powerful [PERIOD] tidy [AND] hilarious [AND] bad-tempered [IMPLY] fine [PERIOD] messy [A...
Proof chain: tidy ⇒ scared scared ∧ tidy ∧ tired ⇒ powerful tidy ∧ powerful ⇒ pleasant disobedient ⇒ hilarious tidy ⇒ scared scared ∧ tidy ∧ tired ⇒ powerful powerful ∧ disobedient ∧ average ⇒ bad-tempered tidy ∧ hilarious ∧ bad-tempered ⇒ fine pleasant ∧ fine ⇒ stormy
1
9
Facts: Batman is sincere [PERIOD] Batman is worrisome [PERIOD] Batman is blushing [PERIOD] Batman is weary [PERIOD] Rules: weary [AND] lonely [IMPLY] exuberant [PERIOD] bad-tempered [AND] disobedient [IMPLY] victorious [PERIOD] sincere [AND] confused [AND] exuberant [IMPLY] tense [PERIOD] talkative [IMPLY] worrisome [...
Proof chain: blushing ⇒ amused amused ⇒ careless blushing ⇒ amused amused ⇒ inexpensive careless ∧ inexpensive ⇒ exuberant exuberant ∧ worrisome ∧ weary ⇒ lucky sincere ∧ weary ∧ lucky ⇒ disobedient blushing ⇒ amused disobedient ∧ blushing ∧ amused ⇒ courageous
1
9
Facts: Rules: popular [AND] confident [IMPLY] confused [PERIOD] selfish [AND] straightforward [AND] rude [IMPLY] reserved [PERIOD] disobedient [IMPLY] straightforward [PERIOD] popular [AND] quaint [AND] friendly [IMPLY] proud [PERIOD] thoughtless [AND] impatient [AND] smart [IMPLY] jittery [PERIOD] confused [IMPLY] th...
Proof chain: Cannot apply rule “popular ∧ quaint ∧ friendly ⇒ proud” because missing: popular, quaint, friendly. Cannot apply rule “gleaming ∧ selfish ⇒ proud” because missing: gleaming, selfish. Cannot apply rule “clean ∧ jittery ∧ confused ⇒ proud” because missing: clean, jittery, confused. Cannot apply r...
0
9
Facts: Batman is worried [PERIOD] Batman is clumsy [PERIOD] Batman is bossy [PERIOD] Batman is quaint [PERIOD] Batman is attentive [PERIOD] Batman is blushing [PERIOD] Rules: troubled [AND] fine [AND] frail [IMPLY] calm [PERIOD] disobedient [AND] shy [AND] worried [IMPLY] serious [PERIOD] hilarious [IMPLY] powerful [P...
Proof chain: bossy ⇒ disobedient disobedient ⇒ fine fine ∧ quaint ⇒ troubled bossy ⇒ disobedient disobedient ⇒ fine bossy ⇒ disobedient disobedient ⇒ muddy clumsy ∧ muddy ⇒ frail troubled ∧ fine ∧ frail ⇒ calm
1
9
Facts: Batman is hypocritical [PERIOD] Batman is dull [PERIOD] Batman is average [PERIOD] Batman is ambitious [PERIOD] Rules: average [AND] dull [IMPLY] hypocritical [PERIOD] loving [AND] dull [AND] stupid [IMPLY] frail [PERIOD] loving [AND] hypocritical [IMPLY] blushing [PERIOD] bored [IMPLY] hypocritical [PERIOD] po...
Proof chain: Cannot apply rule “loving ∧ hypocritical ⇒ blushing” because missing: loving. average ⇒ combative hypocritical ⇒ polite combative ∧ polite ∧ dull ⇒ attentive attentive ⇒ frail average ⇒ combative hypocritical ⇒ polite combative ∧ polite ∧ dull ⇒ attentive Cannot apply rule “frail...
0
9
Facts: Batman is distinct [PERIOD] Batman is helpless [PERIOD] Batman is sincere [PERIOD] Batman is fancy [PERIOD] Batman is uptight [PERIOD] Batman is frightened [PERIOD] Batman is famous [PERIOD] Batman is worried [PERIOD] Rules: stormy [AND] powerful [AND] condemned [IMPLY] famous [PERIOD] joyous [AND] powerful [IM...
Proof chain: helpless ∧ frightened ⇒ stormy uptight ⇒ joyous uptight ⇒ joyous joyous ⇒ bored bored ⇒ powerful joyous ∧ powerful ⇒ old-fashioned helpless ∧ frightened ⇒ stormy old-fashioned ∧ stormy ⇒ comfortable Cannot apply rule “stormy ∧ comfortable ∧ scared ⇒ condemned” because missing: sc...
0
9
Facts: Rules: diplomatic [AND] ugly [AND] stormy [IMPLY] tame [PERIOD] tame [IMPLY] diplomatic [PERIOD] diplomatic [AND] gorgeous [IMPLY] ugly [PERIOD] fearless [AND] tame [IMPLY] ugly [PERIOD] tame [AND] gorgeous [IMPLY] stormy [PERIOD] ugly [AND] aggressive [IMPLY] gorgeous [PERIOD] gorgeous [AND] aggressive [IMPLY]...
Proof chain: Cannot apply rule “diplomatic ∧ gorgeous ⇒ ugly” because missing: diplomatic, gorgeous. Cannot apply rule “fearless ∧ tame ⇒ ugly” because missing: fearless, tame. Cannot apply rule “fearless ∧ stormy ∧ tame ⇒ ugly” because missing: fearless, stormy, tame. Cannot apply rule “fearless ∧ gorgeous...
0
9
Facts: Rules: agreeable [IMPLY] worrisome [PERIOD] amused [AND] worrisome [IMPLY] shy [PERIOD] amused [AND] shy [AND] worrisome [IMPLY] impartial [PERIOD] amused [AND] shy [IMPLY] agreeable [PERIOD] agreeable [AND] shy [IMPLY] impartial [PERIOD] amused [IMPLY] worrisome [PERIOD] amused [AND] famous [IMPLY] impartial [...
Proof chain: Cannot apply rule “amused ∧ shy ∧ worrisome ⇒ impartial” because missing: amused, shy, worrisome. Cannot apply rule “agreeable ∧ shy ⇒ impartial” because missing: agreeable, shy. Cannot apply rule “amused ∧ famous ⇒ impartial” because missing: amused, famous. Cannot apply rule “inexpensive ∧ se...
0
9
Facts: Batman is sincere [PERIOD] Batman is silly [PERIOD] Batman is difficult [PERIOD] Batman is gleaming [PERIOD] Batman is attractive [PERIOD] Batman is wrong [PERIOD] Batman is selfish [PERIOD] Rules: helpful [AND] naughty [AND] bright [IMPLY] gleaming [PERIOD] difficult [IMPLY] elated [PERIOD] mysterious [AND] el...
Proof chain: silly ∧ gleaming ⇒ blushing blushing ⇒ condemned difficult ⇒ elated elated ⇒ careless wrong ⇒ homely homely ⇒ horrible wrong ⇒ homely careless ∧ horrible ∧ homely ⇒ mysterious condemned ∧ mysterious ∧ sincere ⇒ dishonest
1
9
Facts: Batman is foolish [PERIOD] Batman is cooperative [PERIOD] Batman is versatile [PERIOD] Rules: amused [AND] cooperative [IMPLY] exuberant [PERIOD] exuberant [AND] foolish [AND] cooperative [IMPLY] versatile [PERIOD] shiny [AND] foolish [IMPLY] amused [PERIOD] powerful [AND] shiny [AND] amused [IMPLY] exuberant [...
Proof chain: Cannot apply rule “amused ∧ cooperative ⇒ exuberant” because missing: amused. Cannot apply rule “powerful ∧ shiny ∧ amused ⇒ exuberant” because missing: powerful, shiny, amused. Cannot apply rule “amused ⇒ exuberant” because missing: amused. Cannot apply rule “versatile ∧ foolish ∧ amused ⇒ exu...
0
9
Facts: Batman is shy [PERIOD] Batman is weary [PERIOD] Batman is condemned [PERIOD] Batman is clean [PERIOD] Batman is mean [PERIOD] Batman is messy [PERIOD] Batman is careless [PERIOD] Batman is helpful [PERIOD] Batman is crowded [PERIOD] Rules: nervous [AND] beautiful [IMPLY] condemned [PERIOD] powerful [AND] shiny ...
Proof chain: shy ⇒ powerful clean ∧ condemned ⇒ strange strange ∧ careless ⇒ tired shy ⇒ powerful weary ∧ tired ∧ powerful ⇒ stormy weary ∧ stormy ∧ careless ⇒ embarrassed clean ∧ condemned ⇒ strange shy ∧ embarrassed ∧ strange ⇒ shiny powerful ∧ shiny ⇒ bad-tempered
1
9
Facts: Batman is anxious [PERIOD] Batman is stubborn [PERIOD] Batman is stormy [PERIOD] Batman is thoughtless [PERIOD] Batman is tired [PERIOD] Batman is witty [PERIOD] Rules: intellectual [AND] clumsy [AND] tired [IMPLY] hypocritical [PERIOD] good [AND] anxious [IMPLY] stormy [PERIOD] shy [IMPLY] good [PERIOD] stubbo...
Proof chain: anxious ⇒ worrisome witty ∧ worrisome ⇒ shiny shiny ⇒ rude anxious ⇒ intellectual anxious ⇒ worrisome stubborn ∧ witty ⇒ tender worrisome ∧ tender ⇒ clumsy intellectual ∧ clumsy ∧ tired ⇒ hypocritical rude ∧ hypocritical ⇒ diplomatic
1
9
Facts: Batman is straightforward [PERIOD] Batman is ugly [PERIOD] Batman is distinct [PERIOD] Batman is attractive [PERIOD] Batman is homely [PERIOD] Rules: dull [IMPLY] sincere [PERIOD] dull [AND] sincere [AND] mysterious [IMPLY] anxious [PERIOD] distinct [IMPLY] silly [PERIOD] dull [AND] ugly [AND] sincere [IMPLY] h...
Proof chain: homely ⇒ anxious ugly ∧ attractive ∧ anxious ⇒ horrible homely ⇒ anxious ugly ∧ attractive ∧ anxious ⇒ horrible attractive ∧ horrible ∧ distinct ⇒ zealous attractive ∧ straightforward ∧ ugly ⇒ frantic horrible ∧ zealous ∧ frantic ⇒ sincere attractive ∧ straightforward ∧ ugly ⇒ frant...
1
9
Facts: Batman is powerful [PERIOD] Batman is gorgeous [PERIOD] Batman is wandering [PERIOD] Batman is easy [PERIOD] Batman is bright [PERIOD] Batman is stubborn [PERIOD] Batman is bad-tempered [PERIOD] Batman is lonely [PERIOD] Batman is crowded [PERIOD] Batman is outstanding [PERIOD] Rules: easy [IMPLY] powerful [PER...
Proof chain: wandering ⇒ impatient impatient ⇒ naughty wandering ⇒ impatient impatient ⇒ cruel wandering ⇒ wide-eyed wandering ⇒ impatient wide-eyed ∧ impatient ⇒ combative cruel ∧ outstanding ∧ combative ⇒ inexpensive naughty ∧ inexpensive ∧ gorgeous ⇒ versatile
1
9
Facts: Batman is careless [PERIOD] Batman is troubled [PERIOD] Batman is perfect [PERIOD] Batman is outstanding [PERIOD] Rules: stupid [AND] cooperative [AND] crowded [IMPLY] stubborn [PERIOD] fragile [IMPLY] horrible [PERIOD] combative [IMPLY] witty [PERIOD] troubled [AND] sincere [IMPLY] tidy [PERIOD] tired [AND] pe...
Proof chain: careless ⇒ witty outstanding ∧ witty ⇒ stupid stupid ⇒ combative combative ⇒ crowded careless ⇒ witty outstanding ∧ witty ⇒ stupid perfect ∧ stupid ⇒ ugly ugly ⇒ confident crowded ∧ confident ⇒ comfortable
1
9
Facts: Batman is vivacious [PERIOD] Batman is wandering [PERIOD] Batman is disobedient [PERIOD] Batman is ugly [PERIOD] Batman is wide-eyed [PERIOD] Batman is crowded [PERIOD] Batman is muddy [PERIOD] Rules: disobedient [AND] spotless [IMPLY] ugly [PERIOD] gifted [AND] serious [IMPLY] stormy [PERIOD] gleaming [AND] se...
Proof chain: muddy ⇒ worrisome worrisome ⇒ comfortable comfortable ∧ disobedient ⇒ helpless helpless ⇒ serious muddy ⇒ worrisome worrisome ⇒ smart smart ⇒ frightened crowded ∧ frightened ⇒ bored serious ∧ bored ⇒ spotless
1
9
Facts: Rules: clumsy [AND] exuberant [AND] hypocritical [IMPLY] serious [PERIOD] stupid [AND] hypocritical [IMPLY] serious [PERIOD] serious [IMPLY] clumsy [PERIOD] ugly [AND] stupid [IMPLY] serious [PERIOD] exuberant [IMPLY] stupid [PERIOD] clumsy [AND] hypocritical [AND] stupid [IMPLY] exuberant [PERIOD] hypocritical...
Proof chain: Cannot apply rule “clumsy ∧ exuberant ∧ hypocritical ⇒ serious” because missing: clumsy, exuberant, hypocritical. Cannot apply rule “stupid ∧ hypocritical ⇒ serious” because missing: stupid, hypocritical. Cannot apply rule “ugly ∧ stupid ⇒ serious” because missing: ugly, stupid. Cannot apply ru...
0
9
Facts: Batman is blushing [PERIOD] Batman is uptight [PERIOD] Batman is worrisome [PERIOD] Batman is pleasant [PERIOD] Rules: messy [IMPLY] frail [PERIOD] powerful [AND] serious [AND] broad-minded [IMPLY] frightened [PERIOD] gifted [IMPLY] attentive [PERIOD] reserved [IMPLY] combative [PERIOD] serious [AND] plain [AND...
Proof chain: Cannot apply rule “reserved ⇒ combative” because missing: reserved. Cannot apply rule “reserved ∧ serious ⇒ combative” because missing: reserved, serious. Cannot apply rule “frightened ⇒ combative” because missing: frightened. Cannot apply rule “impatient ∧ fancy ⇒ combative” because missing: i...
0
9
Facts: Batman is tired [PERIOD] Rules: charming [IMPLY] outrageous [PERIOD] condemned [IMPLY] modern [PERIOD] worried [AND] modern [IMPLY] tender [PERIOD] tired [AND] worried [AND] rational [IMPLY] charming [PERIOD] worried [AND] clumsy [IMPLY] friendly [PERIOD] silly [IMPLY] alert [PERIOD] modern [IMPLY] alert [PERIO...
Proof chain: Cannot apply rule “tender ⇒ clumsy” because missing: tender. tired ⇒ charming charming ⇒ outrageous Cannot apply rule “rational ∧ outrageous ⇒ clumsy” because missing: rational. Cannot apply rule “rational ∧ tender ∧ friendly ⇒ clumsy” because missing: rational, tender, friendly. tired ⇒ ...
0
9
Facts: Batman is loving [PERIOD] Batman is careless [PERIOD] Batman is unpleasant [PERIOD] Rules: careless [IMPLY] ugly [PERIOD] impatient [AND] polite [IMPLY] helpful [PERIOD] ugly [AND] victorious [AND] zealous [IMPLY] helpful [PERIOD] polite [AND] supportive [AND] gorgeous [IMPLY] helpful [PERIOD] supportive [AND] ...
Proof chain: loving ⇒ clean clean ⇒ gorgeous gorgeous ⇒ dull careless ⇒ ugly ugly ⇒ polite loving ⇒ clean clean ⇒ gorgeous polite ∧ gorgeous ⇒ friendly dull ∧ careless ∧ friendly ⇒ good
1
9
Facts: Batman is bossy [PERIOD] Rules: helpless [IMPLY] disobedient [PERIOD] bossy [IMPLY] wrong [PERIOD] helpless [IMPLY] precious [PERIOD] sincere [AND] helpless [IMPLY] disobedient [PERIOD] broad-minded [IMPLY] bossy [PERIOD] sincere [IMPLY] bossy [PERIOD] sensible [IMPLY] perfect [PERIOD] wrong [AND] disobedient [...
Proof chain: Cannot apply rule “sensible ⇒ perfect” because missing: sensible. bossy ⇒ wrong Cannot apply rule “wrong ∧ disobedient ∧ stupid ⇒ perfect” because missing: disobedient, stupid. Cannot apply rule “disobedient ∧ sincere ⇒ perfect” because missing: disobedient, sincere. Cannot apply rule “stupi...
0
9
Facts: Batman is dull [PERIOD] Batman is easy [PERIOD] Batman is versatile [PERIOD] Batman is supportive [PERIOD] Batman is confused [PERIOD] Rules: inquisitive [AND] comfortable [AND] dull [IMPLY] versatile [PERIOD] blushing [IMPLY] exuberant [PERIOD] confused [AND] dull [IMPLY] supportive [PERIOD] frail [IMPLY] mess...
Proof chain: easy ⇒ outrageous confused ⇒ exuberant confused ∧ exuberant ⇒ uptight outrageous ∧ uptight ∧ dull ⇒ blushing Cannot apply rule “frail ∧ blushing ⇒ comfortable” because missing: frail. easy ⇒ outrageous confused ⇒ exuberant confused ∧ exuberant ⇒ uptight Cannot apply rule “frail ∧...
0
9
Facts: Batman is supportive [PERIOD] Rules: fancy [AND] supportive [AND] helpless [IMPLY] amused [PERIOD] fancy [AND] helpless [AND] careless [IMPLY] amused [PERIOD] versatile [IMPLY] fancy [PERIOD] helpless [AND] supportive [AND] careless [IMPLY] versatile [PERIOD] fancy [AND] helpless [IMPLY] hurt [PERIOD] amused [I...
Proof chain: supportive ⇒ helpless helpless ⇒ amused amused ⇒ versatile supportive ⇒ helpless supportive ⇒ helpless supportive ⇒ helpless helpless ⇒ amused helpless ∧ amused ⇒ careless versatile ∧ helpless ∧ careless ⇒ hurt
1
9
Facts: Batman is ugliest [PERIOD] Batman is talkative [PERIOD] Rules: condemned [AND] polite [AND] loving [IMPLY] thoughtful [PERIOD] polite [AND] thoughtful [AND] worrisome [IMPLY] talkative [PERIOD] elated [IMPLY] talented [PERIOD] tense [AND] polite [AND] outrageous [IMPLY] frantic [PERIOD] frantic [AND] thoughtful...
Proof chain: Cannot apply rule “wandering ∧ grumpy ∧ tense ⇒ joyous” because missing: wandering, grumpy, tense. Cannot apply rule “elated ⇒ joyous” because missing: elated. Cannot apply rule “rational ∧ amused ∧ tense ⇒ joyous” because missing: rational, amused, tense. Cannot apply rule “weary ∧ talented ⇒ ...
0
9
Facts: Rules: aggressive [AND] cute [IMPLY] shiny [PERIOD] famous [IMPLY] average [PERIOD] aggressive [AND] ugly [IMPLY] cute [PERIOD] average [IMPLY] ugly [PERIOD] distinct [AND] witty [IMPLY] confused [PERIOD] rude [IMPLY] confused [PERIOD] ugly [IMPLY] confused [PERIOD] shiny [IMPLY] confused [PERIOD] average [AND]...
Proof chain: Cannot apply rule “distinct ∧ witty ⇒ confused” because missing: distinct, witty. Cannot apply rule “rude ⇒ confused” because missing: rude. Cannot apply rule “ugly ⇒ confused” because missing: ugly. Cannot apply rule “shiny ⇒ confused” because missing: shiny. Cannot apply rule “cute ⇒ confu...
0
9
Facts: Batman is jittery [PERIOD] Batman is selfish [PERIOD] Batman is tender [PERIOD] Rules: talkative [AND] sincere [IMPLY] selfish [PERIOD] shy [IMPLY] selfish [PERIOD] jittery [AND] victorious [AND] sincere [IMPLY] adorable [PERIOD] jittery [IMPLY] shy [PERIOD] victorious [AND] sincere [AND] selfish [IMPLY] talkat...
Proof chain: jittery ⇒ shy shy ∧ tender ∧ jittery ⇒ victorious jittery ⇒ shy shy ∧ tender ∧ jittery ⇒ victorious victorious ⇒ adorable jittery ⇒ shy shy ∧ tender ∧ jittery ⇒ victorious adorable ∧ tender ∧ victorious ⇒ sincere victorious ∧ sincere ∧ selfish ⇒ talkative
1
9
Facts: Batman is grumpy [PERIOD] Batman is wide-eyed [PERIOD] Rules: selfish [IMPLY] clean [PERIOD] polite [IMPLY] straightforward [PERIOD] grumpy [AND] frightened [IMPLY] polite [PERIOD] clean [AND] grumpy [AND] straightforward [IMPLY] selfish [PERIOD] tense [AND] tidy [AND] frightened [IMPLY] bad-tempered [PERIOD] b...
Proof chain: grumpy ⇒ wandering grumpy ∧ wandering ⇒ tidy tidy ⇒ clean grumpy ⇒ wandering grumpy ⇒ wandering grumpy ∧ wandering ⇒ tidy tidy ⇒ clean wandering ∧ clean ∧ wide-eyed ⇒ straightforward clean ∧ grumpy ∧ straightforward ⇒ selfish
1
9
Facts: Batman is comfortable [PERIOD] Batman is troubled [PERIOD] Rules: disgusted [AND] blushing [AND] tidy [IMPLY] sincere [PERIOD] disgusted [AND] comfortable [AND] uptight [IMPLY] dull [PERIOD] blushing [AND] silly [AND] good [IMPLY] witty [PERIOD] troubled [AND] silly [AND] alert [IMPLY] combative [PERIOD] dull [...
Proof chain: Cannot apply rule “sincere ⇒ disgusted” because missing: sincere. comfortable ⇒ curious curious ⇒ strange strange ⇒ combative Cannot apply rule “comfortable ∧ fragile ∧ combative ⇒ disgusted” because missing: fragile. Cannot apply rule “loving ∧ famous ∧ impatient ⇒ disgusted” because mis...
0
9
Facts: Batman is anxious [PERIOD] Rules: tidy [AND] troubled [AND] light [IMPLY] old-fashioned [PERIOD] vivacious [AND] beautiful [AND] frightened [IMPLY] disobedient [PERIOD] disobedient [AND] rude [AND] uptight [IMPLY] frail [PERIOD] light [AND] agreeable [IMPLY] curious [PERIOD] troubled [AND] sincere [IMPLY] disho...
Proof chain: Cannot apply rule “troubled ∧ sincere ⇒ dishonest” because missing: troubled, sincere. Cannot apply rule “silly ∧ tidy ∧ agreeable ⇒ dishonest” because missing: silly, tidy, agreeable. Cannot apply rule “silly ⇒ dishonest” because missing: silly. Cannot apply rule “impartial ⇒ dishonest” becaus...
0
9
Facts: Batman is frightened [PERIOD] Rules: worrisome [AND] reserved [IMPLY] comfortable [PERIOD] disgusted [AND] uptight [AND] joyous [IMPLY] broad-minded [PERIOD] comfortable [AND] thoughtless [IMPLY] popular [PERIOD] foolish [IMPLY] perfect [PERIOD] uptight [AND] joyous [AND] enchanting [IMPLY] mean [PERIOD] disgus...
Proof chain: Cannot apply rule “disgusted ⇒ reserved” because missing: disgusted. Cannot apply rule “foolish ⇒ reserved” because missing: foolish. frightened ⇒ joyous joyous ⇒ vivacious Cannot apply rule “vivacious ∧ sleepy ⇒ reserved” because missing: sleepy. Cannot apply rule “silly ∧ jittery ⇒ rese...
0
9
Facts: Batman is homely [PERIOD] Batman is glamorous [PERIOD] Batman is aggressive [PERIOD] Batman is lucky [PERIOD] Rules: fragile [AND] pleasant [AND] agreeable [IMPLY] disobedient [PERIOD] disobedient [AND] famous [IMPLY] zealous [PERIOD] alert [AND] fragile [IMPLY] grumpy [PERIOD] pleasant [AND] fragile [IMPLY] gr...
Proof chain: aggressive ⇒ alert alert ⇒ victorious aggressive ⇒ enchanting enchanting ⇒ agreeable agreeable ⇒ frail Cannot apply rule “victorious ∧ frail ∧ famous ⇒ distinct” because missing: famous. aggressive ⇒ alert alert ⇒ stubborn Cannot apply rule “stubborn ∧ selfish ⇒ distinct” because...
0
9
Facts: Batman is enchanting [PERIOD] Batman is frightened [PERIOD] Rules: ambitious [AND] outstanding [IMPLY] fancy [PERIOD] hilarious [AND] busy [IMPLY] combative [PERIOD] selfish [AND] naughty [IMPLY] spotless [PERIOD] serious [AND] spotless [IMPLY] aggressive [PERIOD] hilarious [AND] busy [AND] shy [IMPLY] enchanti...
Proof chain: enchanting ⇒ stormy enchanting ⇒ stormy stormy ⇒ shy shy ∧ enchanting ⇒ ambitious enchanting ⇒ stormy stormy ⇒ shy frightened ∧ enchanting ∧ shy ⇒ easy easy ⇒ bored stormy ∧ ambitious ∧ bored ⇒ strange
1
9
Facts: Batman is helpful [PERIOD] Batman is enchanting [PERIOD] Rules: wide-eyed [AND] fragile [IMPLY] combative [PERIOD] beautiful [AND] silly [IMPLY] fragile [PERIOD] condemned [IMPLY] wide-eyed [PERIOD] tender [AND] agreeable [IMPLY] charming [PERIOD] famous [AND] rude [AND] helpful [IMPLY] courageous [PERIOD] talk...
Proof chain: helpful ⇒ glamorous glamorous ⇒ talkative talkative ⇒ combative combative ⇒ charming charming ⇒ confident helpful ∧ confident ⇒ bad-tempered helpful ⇒ glamorous glamorous ⇒ talkative Cannot apply rule “condemned ∧ bad-tempered ∧ talkative ⇒ inexpensive” because missing: condemned...
0
9
Facts: Batman is stormy [PERIOD] Batman is ugliest [PERIOD] Batman is ambitious [PERIOD] Rules: bad-tempered [AND] different [AND] rude [IMPLY] ambitious [PERIOD] ambitious [AND] shy [IMPLY] charming [PERIOD] different [IMPLY] rude [PERIOD] shy [AND] popular [AND] rude [IMPLY] bad-tempered [PERIOD] ugliest [AND] charm...
Proof chain: ambitious ∧ ugliest ∧ stormy ⇒ shy ambitious ∧ ugliest ∧ stormy ⇒ shy ambitious ∧ shy ⇒ charming ambitious ∧ ugliest ∧ stormy ⇒ shy charming ∧ shy ⇒ different different ⇒ popular ambitious ∧ ugliest ∧ stormy ⇒ shy shy ∧ ugliest ∧ stormy ⇒ rude shy ∧ popular ∧ rude ⇒ bad-tempered
1
9
Facts: Batman is impatient [PERIOD] Batman is hilarious [PERIOD] Batman is joyous [PERIOD] Rules: tender [AND] long [IMPLY] pessimistic [PERIOD] supportive [AND] cute [AND] messy [IMPLY] precious [PERIOD] foolish [AND] messy [IMPLY] calm [PERIOD] powerful [AND] precious [AND] combative [IMPLY] joyous [PERIOD] combativ...
Proof chain: joyous ∧ hilarious ⇒ inexpensive inexpensive ⇒ messy Cannot apply rule “foolish ∧ messy ⇒ calm” because missing: foolish. Cannot apply rule “cute ∧ talkative ∧ impatient ⇒ calm” because missing: cute, talkative. joyous ⇒ attentive Cannot apply rule “attentive ∧ long ∧ uptight ⇒ calm” beca...
0
9
Facts: Batman is plain [PERIOD] Rules: crowded [AND] popular [AND] thoughtful [IMPLY] fancy [PERIOD] popular [AND] sleepy [IMPLY] outrageous [PERIOD] sleepy [AND] amused [AND] jittery [IMPLY] fancy [PERIOD] distinct [AND] popular [AND] proud [IMPLY] witty [PERIOD] zealous [AND] worried [IMPLY] crowded [PERIOD] thought...
Proof chain: plain ⇒ proud proud ⇒ cooperative plain ⇒ proud proud ⇒ jittery cooperative ∧ jittery ⇒ hurt hurt ⇒ amused amused ⇒ fancy fancy ⇒ witty witty ⇒ thoughtful
1
9
Facts: Batman is worrisome [PERIOD] Batman is wide-eyed [PERIOD] Batman is crowded [PERIOD] Batman is tidy [PERIOD] Batman is sensible [PERIOD] Rules: grumpy [IMPLY] famous [PERIOD] careless [AND] wide-eyed [AND] long [IMPLY] stubborn [PERIOD] worrisome [IMPLY] confused [PERIOD] average [IMPLY] clean [PERIOD] confused...
Proof chain: worrisome ⇒ confused worrisome ∧ confused ⇒ stubborn tidy ⇒ gorgeous gorgeous ⇒ long long ⇒ bright crowded ⇒ famous worrisome ∧ famous ⇒ clean stubborn ∧ bright ∧ clean ⇒ beautiful beautiful ⇒ smart
1
9
Facts: Batman is confident [PERIOD] Batman is fine [PERIOD] Rules: fine [IMPLY] cooperative [PERIOD] excited [AND] clean [AND] ugly [IMPLY] bossy [PERIOD] bossy [AND] cooperative [IMPLY] stormy [PERIOD] different [AND] ugly [AND] comfortable [IMPLY] helpful [PERIOD] stormy [AND] excited [IMPLY] fine [PERIOD] helpful [...
Proof chain: Cannot apply rule “different ∧ ugly ∧ comfortable ⇒ helpful” because missing: different, ugly, comfortable. fine ⇒ cooperative fine ⇒ cooperative cooperative ∧ confident ⇒ stormy stormy ∧ fine ⇒ bright bright ∧ confident ∧ fine ⇒ quaint Cannot apply rule “cooperative ∧ different ∧ quai...
0
9
Facts: Batman is lonely [PERIOD] Rules: tame [AND] homely [IMPLY] light [PERIOD] light [AND] tame [AND] inexpensive [IMPLY] lonely [PERIOD] light [IMPLY] lonely [PERIOD] crowded [IMPLY] light [PERIOD] tame [AND] inexpensive [IMPLY] crowded [PERIOD] inexpensive [AND] light [IMPLY] crowded [PERIOD] homely [IMPLY] crowde...
Proof chain: lonely ⇒ homely lonely ⇒ homely lonely ⇒ homely homely ⇒ crowded crowded ⇒ light lonely ⇒ homely homely ⇒ crowded homely ∧ light ∧ crowded ⇒ tame homely ∧ tame ⇒ inexpensive
1
9
Facts: Batman is wandering [PERIOD] Batman is fearless [PERIOD] Rules: different [IMPLY] elated [PERIOD] wrong [IMPLY] fearless [PERIOD] confident [AND] stupid [IMPLY] reserved [PERIOD] lucky [IMPLY] troubled [PERIOD] disgusted [AND] fearless [AND] frail [IMPLY] elated [PERIOD] messy [AND] wrong [IMPLY] fancy [PERIOD]...
Proof chain: wandering ⇒ disgusted disgusted ⇒ agreeable fearless ⇒ stupid stupid ⇒ excited excited ⇒ elated agreeable ∧ elated ⇒ frail Cannot apply rule “alert ∧ frail ⇒ nervous” because missing: alert. Cannot apply rule “wandering ∧ stormy ⇒ nervous” because missing: stormy. Cannot apply ru...
0
9
Facts: Batman is horrible [PERIOD] Batman is fine [PERIOD] Rules: bored [AND] uptight [AND] naughty [IMPLY] perfect [PERIOD] beautiful [IMPLY] perfect [PERIOD] precious [IMPLY] tender [PERIOD] horrible [AND] quaint [AND] inexpensive [IMPLY] naughty [PERIOD] beautiful [AND] gorgeous [AND] uptight [IMPLY] perfect [PERIO...
Proof chain: Cannot apply rule “precious ⇒ tender” because missing: precious. Cannot apply rule “gorgeous ∧ inexpensive ∧ sensible ⇒ tender” because missing: gorgeous, inexpensive, sensible. horrible ⇒ beautiful horrible ⇒ beautiful beautiful ⇒ perfect Cannot apply rule “bored ∧ beautiful ∧ perfect ⇒ ...
0
9
Facts: Batman is charming [PERIOD] Batman is hilarious [PERIOD] Rules: dull [IMPLY] gleaming [PERIOD] hypocritical [IMPLY] agreeable [PERIOD] outrageous [AND] busy [IMPLY] agreeable [PERIOD] busy [AND] stupid [IMPLY] dull [PERIOD] charming [AND] friendly [AND] agreeable [IMPLY] busy [PERIOD] troubled [AND] versatile [...
Proof chain: hilarious ⇒ talented talented ⇒ agreeable agreeable ⇒ straightforward Cannot apply rule “spotless ∧ straightforward ∧ stupid ⇒ enchanting” because missing: spotless, stupid. hilarious ⇒ talented talented ⇒ cooperative cooperative ⇒ light hilarious ⇒ dull Cannot apply rule “light ...
0
9
Facts: Batman is homely [PERIOD] Rules: condemned [IMPLY] tired [PERIOD] supportive [AND] tidy [IMPLY] crowded [PERIOD] thoughtless [IMPLY] tidy [PERIOD] condemned [IMPLY] intellectual [PERIOD] tidy [AND] victorious [IMPLY] homely [PERIOD] thoughtless [IMPLY] precious [PERIOD] talkative [AND] homely [AND] rude [IMPLY]...
Proof chain: homely ⇒ condemned condemned ⇒ intellectual homely ⇒ tidy tidy ⇒ precious intellectual ∧ precious ⇒ amused homely ⇒ condemned amused ∧ condemned ⇒ victorious homely ⇒ crowded victorious ∧ crowded ⇒ wide-eyed
1
9
Facts: Batman is reserved [PERIOD] Batman is frightened [PERIOD] Batman is proud [PERIOD] Rules: crowded [AND] aggressive [AND] difficult [IMPLY] proud [PERIOD] clumsy [AND] easy [IMPLY] jittery [PERIOD] naughty [AND] friendly [IMPLY] shy [PERIOD] worried [AND] crowded [IMPLY] friendly [PERIOD] smart [AND] shy [IMPLY]...
Proof chain: reserved ⇒ jittery jittery ⇒ naughty reserved ⇒ jittery jittery ⇒ victorious naughty ∧ frightened ∧ victorious ⇒ different frightened ⇒ easy easy ⇒ worried worried ⇒ confused different ∧ confused ⇒ frail
1
9
Facts: Batman is mean [PERIOD] Batman is thoughtless [PERIOD] Rules: mean [AND] grumpy [IMPLY] busy [PERIOD] pessimistic [AND] foolish [IMPLY] disgusted [PERIOD] tender [AND] pessimistic [AND] disgusted [IMPLY] sleepy [PERIOD] combative [AND] busy [AND] pessimistic [IMPLY] frail [PERIOD] foolish [AND] gorgeous [IMPLY]...
Proof chain: Cannot apply rule “tender ∧ pessimistic ∧ disgusted ⇒ sleepy” because missing: tender, pessimistic, disgusted. Cannot apply rule “talkative ∧ plain ⇒ sleepy” because missing: talkative, plain. thoughtless ⇒ zealous Cannot apply rule “messy ∧ zealous ⇒ sleepy” because missing: messy. thoughtl...
0
9
Facts: Batman is attentive [PERIOD] Rules: gleaming [AND] alert [IMPLY] tired [PERIOD] attentive [IMPLY] cooperative [PERIOD] elegant [IMPLY] attentive [PERIOD] calm [IMPLY] selfish [PERIOD] tired [AND] elegant [AND] calm [IMPLY] weary [PERIOD] selfish [AND] calm [IMPLY] attentive [PERIOD] calm [AND] attentive [AND] a...
Proof chain: attentive ⇒ cooperative cooperative ∧ attentive ⇒ alert Cannot apply rule “calm ∧ attentive ∧ alert ⇒ gleaming” because missing: calm. Cannot apply rule “attentive ∧ tired ∧ calm ⇒ gleaming” because missing: tired, calm. attentive ⇒ cooperative attentive ⇒ cooperative cooperative ⇒ foo...
0
9
Facts: Batman is attractive [PERIOD] Batman is lucky [PERIOD] Batman is impatient [PERIOD] Rules: witty [AND] thoughtful [AND] clumsy [IMPLY] frail [PERIOD] uptight [AND] witty [AND] gleaming [IMPLY] fearless [PERIOD] embarrassed [AND] bored [AND] bad-tempered [IMPLY] old-fashioned [PERIOD] glamorous [IMPLY] thoughtfu...
Proof chain: attractive ⇒ dishonest dishonest ⇒ worrisome attractive ⇒ dishonest dishonest ⇒ bad-tempered worrisome ∧ bad-tempered ⇒ easy lucky ⇒ bored impatient ∧ bored ⇒ spotless spotless ⇒ embarrassed easy ∧ embarrassed ⇒ witty
1
9
Facts: Batman is wide-eyed [PERIOD] Batman is bad-tempered [PERIOD] Batman is blushing [PERIOD] Rules: comfortable [IMPLY] frail [PERIOD] confident [IMPLY] cute [PERIOD] frail [IMPLY] worrisome [PERIOD] perfect [AND] shiny [IMPLY] combative [PERIOD] confident [IMPLY] perfect [PERIOD] aggressive [IMPLY] supportive [PER...
Proof chain: blushing ⇒ shiny blushing ∧ shiny ⇒ confident confident ⇒ perfect blushing ⇒ shiny perfect ∧ shiny ⇒ combative blushing ⇒ shiny blushing ∧ shiny ⇒ confident confident ⇒ cute blushing ∧ combative ∧ cute ⇒ clean
1
9
Facts: Batman is crowded [PERIOD] Batman is curious [PERIOD] Batman is long [PERIOD] Rules: helpful [AND] sincere [AND] proud [IMPLY] worried [PERIOD] talkative [AND] shy [IMPLY] helpful [PERIOD] witty [AND] long [AND] sincere [IMPLY] worried [PERIOD] straightforward [IMPLY] homely [PERIOD] proud [AND] aggressive [IMP...
Proof chain: crowded ⇒ attractive long ⇒ mean mean ⇒ jittery long ⇒ mean crowded ⇒ attractive mean ∧ crowded ∧ attractive ⇒ witty attractive ∧ jittery ∧ witty ⇒ helpful helpful ∧ long ⇒ sincere sincere ⇒ vivacious
1
9
Facts: Batman is disgusted [PERIOD] Rules: different [AND] fancy [AND] spotless [IMPLY] grumpy [PERIOD] busy [IMPLY] disgusted [PERIOD] long [AND] spotless [AND] disgusted [IMPLY] grumpy [PERIOD] spotless [IMPLY] wandering [PERIOD] busy [AND] different [AND] spotless [IMPLY] long [PERIOD] spotless [IMPLY] long [PERIOD...
Proof chain: disgusted ⇒ busy disgusted ∧ busy ⇒ spotless spotless ⇒ long disgusted ⇒ busy disgusted ⇒ busy disgusted ∧ busy ⇒ spotless disgusted ⇒ wandering disgusted ∧ spotless ∧ wandering ⇒ vivacious long ∧ busy ∧ vivacious ⇒ fancy
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Facts: Batman is victorious [PERIOD] Batman is nervous [PERIOD] Batman is modern [PERIOD] Rules: clumsy [AND] mysterious [AND] victorious [IMPLY] nervous [PERIOD] clumsy [IMPLY] mysterious [PERIOD] jittery [IMPLY] victorious [PERIOD] frail [IMPLY] victorious [PERIOD] quaint [IMPLY] clumsy [PERIOD] quaint [AND] frail [...
Proof chain: modern ⇒ mysterious modern ∧ mysterious ⇒ tired modern ⇒ mysterious modern ∧ mysterious ⇒ tired nervous ∧ tired ⇒ ambitious ambitious ⇒ frail victorious ⇒ hilarious hilarious ⇒ dishonest tired ∧ frail ∧ dishonest ⇒ jittery
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Facts: Batman is outstanding [PERIOD] Batman is horrible [PERIOD] Batman is aggressive [PERIOD] Rules: innocent [AND] tame [AND] stubborn [IMPLY] aggressive [PERIOD] aggressive [IMPLY] old-fashioned [PERIOD] outrageous [IMPLY] outstanding [PERIOD] stubborn [IMPLY] enchanting [PERIOD] innocent [AND] old-fashioned [IMPL...
Proof chain: aggressive ⇒ old-fashioned old-fashioned ∧ aggressive ⇒ innocent aggressive ⇒ old-fashioned innocent ∧ old-fashioned ⇒ gleaming horrible ⇒ enchanting enchanting ∧ aggressive ⇒ difficult difficult ⇒ fancy outstanding ⇒ stubborn gleaming ∧ fancy ∧ stubborn ⇒ smart
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Facts: Batman is talented [PERIOD] Batman is uptight [PERIOD] Batman is mysterious [PERIOD] Batman is alert [PERIOD] Batman is elegant [PERIOD] Rules: alert [AND] disobedient [IMPLY] uptight [PERIOD] mysterious [AND] bossy [AND] elegant [IMPLY] frantic [PERIOD] stormy [AND] excited [AND] alert [IMPLY] talented [PERIOD...
Proof chain: uptight ⇒ condemned mysterious ∧ talented ⇒ bossy mysterious ∧ bossy ∧ elegant ⇒ frantic Cannot apply rule “excited ∧ condemned ∧ frantic ⇒ scared” because missing: excited. mysterious ∧ talented ⇒ bossy mysterious ∧ bossy ∧ elegant ⇒ frantic uptight ⇒ condemned frantic ∧ condemned ...
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Facts: Batman is blushing [PERIOD] Batman is hilarious [PERIOD] Batman is wide-eyed [PERIOD] Batman is fragile [PERIOD] Rules: versatile [IMPLY] ugliest [PERIOD] wrong [IMPLY] hilarious [PERIOD] glamorous [AND] versatile [AND] perfect [IMPLY] fragile [PERIOD] blushing [AND] thoughtful [AND] glamorous [IMPLY] smart [PE...
Proof chain: blushing ⇒ smart smart ⇒ ugliest ugliest ∧ blushing ⇒ troubled troubled ∧ blushing ⇒ outrageous blushing ⇒ smart smart ⇒ ugliest blushing ⇒ perfect perfect ⇒ helpless outrageous ∧ ugliest ∧ helpless ⇒ thoughtful
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Facts: Batman is clean [PERIOD] Rules: tired [IMPLY] tender [PERIOD] excited [IMPLY] popular [PERIOD] clean [AND] excited [IMPLY] ugliest [PERIOD] clean [IMPLY] distinct [PERIOD] friendly [IMPLY] unpleasant [PERIOD] ugliest [AND] proud [AND] excited [IMPLY] popular [PERIOD] alert [AND] troubled [AND] serious [IMPLY] f...
Proof chain: clean ⇒ alert Cannot apply rule “alert ∧ troubled ∧ serious ⇒ friendly” because missing: troubled, serious. clean ⇒ versatile versatile ⇒ wide-eyed clean ⇒ versatile wide-eyed ∧ versatile ⇒ selfish clean ⇒ versatile versatile ⇒ wide-eyed Cannot apply rule “selfish ∧ wide-eyed ∧ u...
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Facts: Rules: inexpensive [AND] worried [IMPLY] versatile [PERIOD] versatile [IMPLY] worried [PERIOD] straightforward [IMPLY] inexpensive [PERIOD] worried [AND] good [AND] straightforward [IMPLY] versatile [PERIOD] worried [IMPLY] straightforward [PERIOD] good [AND] versatile [IMPLY] straightforward [PERIOD] worried [...
Proof chain: Cannot apply rule “inexpensive ∧ worried ⇒ versatile” because missing: inexpensive, worried. Cannot apply rule “worried ∧ good ∧ straightforward ⇒ versatile” because missing: worried, good, straightforward. Cannot apply rule “worried ∧ straightforward ∧ inexpensive ⇒ versatile” because missing: wo...
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Facts: Batman is jittery [PERIOD] Batman is joyous [PERIOD] Rules: messy [IMPLY] unpleasant [PERIOD] jittery [IMPLY] thoughtful [PERIOD] confident [IMPLY] smart [PERIOD] confident [AND] wandering [AND] dishonest [IMPLY] inexpensive [PERIOD] helpless [IMPLY] worrisome [PERIOD] dishonest [IMPLY] ugliest [PERIOD] wanderi...
Proof chain: Cannot apply rule “helpless ⇒ worrisome” because missing: helpless. Cannot apply rule “wandering ⇒ worrisome” because missing: wandering. jittery ⇒ thoughtful Cannot apply rule “thoughtful ∧ elegant ⇒ worrisome” because missing: elegant. Cannot apply rule “smart ∧ shiny ⇒ worrisome” because ...
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Facts: Batman is tame [PERIOD] Rules: horrible [AND] intellectual [AND] gorgeous [IMPLY] innocent [PERIOD] stubborn [IMPLY] intellectual [PERIOD] innocent [AND] light [AND] horrible [IMPLY] stubborn [PERIOD] horrible [IMPLY] anxious [PERIOD] tame [AND] horrible [IMPLY] glamorous [PERIOD] glamorous [AND] gorgeous [AND]...
Proof chain: tame ⇒ old-fashioned old-fashioned ⇒ thoughtless thoughtless ⇒ pessimistic pessimistic ⇒ gorgeous tame ⇒ old-fashioned old-fashioned ⇒ thoughtless thoughtless ⇒ pessimistic pessimistic ⇒ stubborn gorgeous ∧ stubborn ∧ tame ⇒ innocent
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Facts: Batman is beautiful [PERIOD] Batman is ugliest [PERIOD] Batman is mean [PERIOD] Batman is tender [PERIOD] Batman is bad-tempered [PERIOD] Batman is outrageous [PERIOD] Batman is attractive [PERIOD] Batman is lucky [PERIOD] Batman is witty [PERIOD] Rules: pleasant [IMPLY] tired [PERIOD] hypocritical [AND] attrac...
Proof chain: beautiful ∧ mean ⇒ joyous tender ⇒ tired attractive ⇒ bored attractive ⇒ bored bored ⇒ sleepy tired ∧ bored ∧ sleepy ⇒ tame attractive ⇒ bored witty ∧ bored ⇒ pleasant joyous ∧ tame ∧ pleasant ⇒ thoughtful
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Facts: Batman is silly [PERIOD] Batman is attentive [PERIOD] Rules: popular [AND] old-fashioned [AND] naughty [IMPLY] confident [PERIOD] zealous [AND] popular [AND] hypocritical [IMPLY] helpful [PERIOD] rude [IMPLY] attentive [PERIOD] confident [AND] rude [AND] naughty [IMPLY] silly [PERIOD] hypocritical [AND] helpful...
Proof chain: silly ⇒ helpful silly ∧ helpful ⇒ hypocritical silly ⇒ helpful attentive ⇒ old-fashioned old-fashioned ∧ silly ⇒ confident hypocritical ∧ helpful ∧ confident ⇒ zealous silly ⇒ helpful silly ∧ helpful ⇒ hypocritical zealous ∧ hypocritical ⇒ popular
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Facts: Batman is popular [PERIOD] Batman is straightforward [PERIOD] Rules: straightforward [AND] easy [AND] wide-eyed [IMPLY] thoughtless [PERIOD] wrong [AND] easy [AND] muddy [IMPLY] thoughtless [PERIOD] wide-eyed [IMPLY] mysterious [PERIOD] wide-eyed [AND] fearless [AND] cute [IMPLY] fragile [PERIOD] thoughtless [A...
Proof chain: straightforward ⇒ nervous nervous ⇒ wide-eyed straightforward ⇒ fearless straightforward ⇒ fearless fearless ⇒ wrong straightforward ⇒ nervous wrong ∧ nervous ∧ popular ⇒ cruel cruel ⇒ cute wide-eyed ∧ fearless ∧ cute ⇒ fragile
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Facts: Batman is talented [PERIOD] Batman is frantic [PERIOD] Rules: talented [IMPLY] intellectual [PERIOD] popular [AND] outrageous [IMPLY] disgusted [PERIOD] combative [IMPLY] frightened [PERIOD] wide-eyed [AND] nervous [AND] quaint [IMPLY] disgusted [PERIOD] disobedient [IMPLY] frantic [PERIOD] talented [IMPLY] fri...
Proof chain: Cannot apply rule “courageous ∧ thoughtless ⇒ light” because missing: courageous, thoughtless. Cannot apply rule “combative ∧ mean ∧ courageous ⇒ light” because missing: combative, mean, courageous. Cannot apply rule “combative ⇒ light” because missing: combative. Cannot apply rule “lucky ∧ dis...
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Facts: Batman is plain [PERIOD] Batman is serious [PERIOD] Batman is cute [PERIOD] Rules: lucky [AND] thoughtful [IMPLY] elated [PERIOD] hurt [AND] elated [IMPLY] lucky [PERIOD] elated [AND] exuberant [AND] hurt [IMPLY] serious [PERIOD] average [IMPLY] bossy [PERIOD] foolish [AND] serious [AND] confident [IMPLY] unple...
Proof chain: plain ⇒ enchanting enchanting ⇒ disgusted disgusted ⇒ lucky plain ⇒ enchanting enchanting ⇒ strange serious ∧ plain ∧ strange ⇒ thoughtful lucky ∧ thoughtful ⇒ elated elated ⇒ outstanding outstanding ⇒ outrageous
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Facts: Batman is uptight [PERIOD] Batman is talkative [PERIOD] Batman is disobedient [PERIOD] Rules: thoughtful [AND] charming [AND] embarrassed [IMPLY] polite [PERIOD] quaint [AND] charming [IMPLY] polite [PERIOD] thoughtful [AND] talented [AND] disobedient [IMPLY] helpless [PERIOD] polite [IMPLY] inexpensive [PERIOD...
Proof chain: disobedient ∧ talkative ⇒ inexpensive inexpensive ⇒ helpless Cannot apply rule “confident ∧ helpless ∧ fine ⇒ talented” because missing: confident, fine. Cannot apply rule “talkative ∧ confident ⇒ talented” because missing: confident. disobedient ∧ talkative ⇒ inexpensive uptight ⇒ myster...
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Facts: Rules: messy [AND] stupid [AND] precious [IMPLY] pessimistic [PERIOD] wide-eyed [IMPLY] inquisitive [PERIOD] rude [AND] tame [IMPLY] thoughtful [PERIOD] combative [AND] homely [AND] thoughtful [IMPLY] light [PERIOD] difficult [AND] homely [IMPLY] scared [PERIOD] intellectual [IMPLY] difficult [PERIOD] pessimist...
Proof chain: Cannot apply rule “disgusted ∧ thoughtful ∧ wide-eyed ⇒ intellectual” because missing: disgusted, thoughtful, wide-eyed. Cannot apply rule “messy ∧ rude ∧ jittery ⇒ intellectual” because missing: messy, rude, jittery. Cannot apply rule “thoughtful ⇒ intellectual” because missing: thoughtful. Ca...
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Facts: Batman is tender [PERIOD] Rules: ugly [IMPLY] victorious [PERIOD] victorious [AND] tender [AND] bossy [IMPLY] sincere [PERIOD] sincere [AND] victorious [AND] tender [IMPLY] bossy [PERIOD] tender [AND] victorious [IMPLY] ugly [PERIOD] bossy [AND] victorious [AND] sincere [IMPLY] ugly [PERIOD] ugly [AND] bossy [I...
Proof chain: Cannot apply rule “tender ∧ victorious ⇒ ugly” because missing: victorious. tender ⇒ sincere Cannot apply rule “bossy ∧ victorious ∧ sincere ⇒ ugly” because missing: bossy, victorious. tender ⇒ sincere Cannot apply rule “sincere ∧ bossy ⇒ ugly” because missing: bossy. tender ⇒ sincere ...
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Facts: Batman is reserved [PERIOD] Batman is embarrassed [PERIOD] Batman is uptight [PERIOD] Rules: careless [AND] old-fashioned [IMPLY] helpless [PERIOD] mean [AND] sincere [IMPLY] busy [PERIOD] uptight [IMPLY] elated [PERIOD] smart [IMPLY] busy [PERIOD] light [IMPLY] shy [PERIOD] shy [IMPLY] careless [PERIOD] loving...
Proof chain: uptight ⇒ elated reserved ⇒ smart Cannot apply rule “elated ∧ attentive ∧ smart ⇒ frantic” because missing: attentive. reserved ⇒ smart smart ⇒ busy Cannot apply rule “stubborn ∧ light ∧ busy ⇒ frantic” because missing: stubborn, light. reserved ⇒ smart Cannot apply rule “loving ∧ s...
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