Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is messy [PERIOD] Batman is cruel [PERIOD] Batman is bored [PERIOD] Rules: reserved [IMPLY] ugly [PERIOD] scared [AND] mean [IMPLY] fancy [PERIOD] lucky [IMPLY] attentive [PERIOD] mean [AND] supportive [AND] reserved [IMPLY] hypocritical [PERIOD] elated [IMPLY] glamorous [PERIOD] muddy [AND] clean [AND] ...
Proof chain: cruel ⇒ shiny shiny ∧ cruel ⇒ supportive supportive ⇒ frantic frantic ⇒ glamorous glamorous ⇒ attentive cruel ⇒ shiny attentive ∧ shiny ⇒ elated elated ⇒ crowded
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8
Facts: Batman is adorable [PERIOD] Batman is curious [PERIOD] Batman is messy [PERIOD] Batman is reserved [PERIOD] Batman is combative [PERIOD] Rules: cooperative [IMPLY] sensible [PERIOD] shiny [IMPLY] curious [PERIOD] talented [AND] impatient [AND] attractive [IMPLY] unpleasant [PERIOD] tame [AND] unpleasant [IMPLY]...
Proof chain: Cannot apply rule “impatient ∧ impartial ⇒ homely” because missing: impatient, impartial. adorable ⇒ ugliest ugliest ⇒ tame tame ⇒ weary weary ⇒ unpleasant adorable ⇒ ugliest combative ∧ unpleasant ∧ ugliest ⇒ shiny Cannot apply rule “shiny ∧ clean ∧ sensible ⇒ homely” because missi...
0
8
Facts: Batman is straightforward [PERIOD] Batman is versatile [PERIOD] Rules: naughty [AND] bad-tempered [AND] ambitious [IMPLY] supportive [PERIOD] versatile [AND] victorious [AND] supportive [IMPLY] sleepy [PERIOD] straightforward [AND] ambitious [IMPLY] worried [PERIOD] versatile [IMPLY] foolish [PERIOD] pleasant [...
Proof chain: straightforward ⇒ unpleasant unpleasant ⇒ confused confused ⇒ supportive straightforward ⇒ unpleasant unpleasant ⇒ confused Cannot apply rule “supportive ∧ confused ∧ frightened ⇒ victorious” because missing: frightened. Cannot apply rule “worried ⇒ victorious” because missing: worried...
0
8
Facts: Batman is strange [PERIOD] Batman is charming [PERIOD] Batman is scared [PERIOD] Batman is shy [PERIOD] Batman is agreeable [PERIOD] Batman is naughty [PERIOD] Batman is adorable [PERIOD] Batman is thoughtless [PERIOD] Batman is comfortable [PERIOD] Batman is enchanting [PERIOD] Batman is frantic [PERIOD] Rules...
Proof chain: agreeable ∧ charming ∧ frantic ⇒ messy naughty ⇒ tense messy ∧ strange ∧ tense ⇒ homely agreeable ∧ charming ∧ frantic ⇒ messy naughty ⇒ tense messy ∧ strange ∧ tense ⇒ homely homely ∧ strange ⇒ difficult comfortable ∧ homely ∧ difficult ⇒ sleepy
1
8
Facts: Batman is inexpensive [PERIOD] Batman is excited [PERIOD] Rules: smart [IMPLY] worried [PERIOD] alert [AND] witty [AND] ugliest [IMPLY] worried [PERIOD] alert [AND] excited [IMPLY] inexpensive [PERIOD] difficult [AND] good [AND] lucky [IMPLY] frantic [PERIOD] frantic [AND] excited [AND] ugliest [IMPLY] good [PE...
Proof chain: excited ⇒ smart Cannot apply rule “smart ∧ inexpensive ∧ difficult ⇒ ugliest” because missing: difficult. Cannot apply rule “unpleasant ∧ difficult ⇒ ugliest” because missing: unpleasant, difficult. Cannot apply rule “unpleasant ⇒ ugliest” because missing: unpleasant. excited ⇒ frantic ex...
0
8
Facts: Batman is sensible [PERIOD] Batman is shy [PERIOD] Rules: grumpy [AND] unpleasant [AND] embarrassed [IMPLY] supportive [PERIOD] disobedient [AND] ugliest [AND] intellectual [IMPLY] unpleasant [PERIOD] ugliest [AND] disobedient [AND] sincere [IMPLY] bored [PERIOD] grumpy [AND] disobedient [IMPLY] serious [PERIOD...
Proof chain: shy ⇒ grumpy grumpy ⇒ silly silly ⇒ loving Cannot apply rule “loving ∧ unpleasant ⇒ embarrassed” because missing: unpleasant. shy ⇒ grumpy grumpy ⇒ silly silly ⇒ nervous Cannot apply rule “nervous ∧ clean ⇒ embarrassed” because missing: clean.
0
8
Facts: Batman is broad-minded [PERIOD] Batman is sensible [PERIOD] Batman is reserved [PERIOD] Batman is curious [PERIOD] Batman is talented [PERIOD] Rules: curious [IMPLY] scared [PERIOD] scared [IMPLY] smart [PERIOD] light [IMPLY] broad-minded [PERIOD] rude [IMPLY] tidy [PERIOD] polite [AND] scared [AND] joyous [IMP...
Proof chain: curious ⇒ scared scared ∧ curious ⇒ long long ⇒ witty curious ⇒ scared scared ∧ curious ⇒ long curious ⇒ scared long ∧ scared ⇒ light witty ∧ light ⇒ dishonest
1
8
Facts: Batman is exuberant [PERIOD] Batman is hypocritical [PERIOD] Rules: exuberant [AND] alert [AND] modern [IMPLY] precious [PERIOD] diplomatic [IMPLY] ambitious [PERIOD] disgusted [AND] impartial [IMPLY] wide-eyed [PERIOD] impartial [IMPLY] ambitious [PERIOD] jittery [AND] anxious [IMPLY] gleaming [PERIOD] jittery...
Proof chain: hypocritical ⇒ anxious exuberant ⇒ loving hypocritical ⇒ anxious anxious ⇒ different different ⇒ disgusted hypocritical ⇒ anxious disgusted ∧ anxious ⇒ diplomatic anxious ∧ loving ∧ diplomatic ⇒ foolish
1
8
Facts: Batman is lonely [PERIOD] Batman is friendly [PERIOD] Rules: messy [IMPLY] long [PERIOD] innocent [IMPLY] victorious [PERIOD] disobedient [AND] zealous [AND] messy [IMPLY] grumpy [PERIOD] friendly [IMPLY] supportive [PERIOD] versatile [AND] fancy [AND] zealous [IMPLY] grumpy [PERIOD] supportive [AND] confused [...
Proof chain: friendly ⇒ confused lonely ⇒ long confused ∧ long ∧ friendly ⇒ fancy lonely ∧ friendly ⇒ agreeable agreeable ⇒ disobedient disobedient ⇒ anxious lonely ∧ friendly ⇒ agreeable fancy ∧ anxious ∧ agreeable ⇒ grumpy
1
8
Facts: Batman is precious [PERIOD] Batman is nervous [PERIOD] Rules: intellectual [IMPLY] pessimistic [PERIOD] glamorous [AND] courageous [IMPLY] attractive [PERIOD] nervous [AND] inquisitive [AND] pessimistic [IMPLY] rude [PERIOD] pessimistic [AND] glamorous [AND] jittery [IMPLY] rude [PERIOD] helpful [AND] intellect...
Proof chain: precious ⇒ distinct distinct ⇒ inquisitive precious ⇒ courageous courageous ∧ precious ⇒ anxious inquisitive ∧ anxious ⇒ intellectual precious ⇒ distinct distinct ⇒ inquisitive intellectual ∧ inquisitive ⇒ glamorous
1
8
Facts: Batman is elegant [PERIOD] Batman is excited [PERIOD] Batman is famous [PERIOD] Rules: excited [AND] intellectual [IMPLY] popular [PERIOD] wandering [IMPLY] famous [PERIOD] intellectual [AND] clean [AND] beautiful [IMPLY] cruel [PERIOD] clean [AND] beautiful [AND] messy [IMPLY] bad-tempered [PERIOD] excited [AN...
Proof chain: elegant ⇒ bad-tempered excited ∧ bad-tempered ⇒ elated elated ⇒ popular elegant ⇒ bad-tempered excited ∧ bad-tempered ⇒ elated elated ⇒ popular popular ⇒ dishonest Cannot apply rule “careless ∧ popular ∧ dishonest ⇒ fancy” because missing: careless.
0
8
Facts: Batman is light [PERIOD] Batman is precious [PERIOD] Batman is tense [PERIOD] Rules: crowded [AND] elegant [IMPLY] ugly [PERIOD] different [IMPLY] precious [PERIOD] precious [AND] busy [AND] ugly [IMPLY] innocent [PERIOD] charming [AND] stubborn [IMPLY] innocent [PERIOD] ugly [IMPLY] light [PERIOD] different [I...
Proof chain: precious ⇒ different precious ⇒ crowded precious ⇒ elegant light ∧ elegant ⇒ ugliest ugliest ⇒ disgusted crowded ∧ disgusted ⇒ gorgeous different ∧ gorgeous ⇒ ambitious Cannot apply rule “ambitious ∧ shiny ⇒ stubborn” because missing: shiny.
0
8
Facts: Rules: foolish [IMPLY] silly [PERIOD] lucky [IMPLY] mysterious [PERIOD] weary [IMPLY] dull [PERIOD] mysterious [AND] outrageous [IMPLY] bored [PERIOD] foolish [AND] mysterious [IMPLY] lucky [PERIOD] weary [AND] outrageous [IMPLY] silly [PERIOD] condemned [AND] dull [IMPLY] outrageous [PERIOD] dull [AND] silly [...
Proof chain: Cannot apply rule “foolish ⇒ silly” because missing: foolish. Cannot apply rule “weary ∧ outrageous ⇒ silly” because missing: weary, outrageous. Cannot apply rule “mysterious ⇒ silly” because missing: mysterious. Cannot apply rule “outrageous ⇒ silly” because missing: outrageous. Cannot appl...
0
8
Facts: Batman is stubborn [PERIOD] Batman is disobedient [PERIOD] Batman is unpleasant [PERIOD] Batman is attentive [PERIOD] Batman is inquisitive [PERIOD] Batman is beautiful [PERIOD] Batman is excited [PERIOD] Batman is vivacious [PERIOD] Batman is gifted [PERIOD] Batman is dishonest [PERIOD] Batman is talkative [PE...
Proof chain: inquisitive ⇒ tidy tidy ⇒ gleaming Cannot apply rule “tender ∧ gleaming ⇒ charming” because missing: tender. inquisitive ⇒ ugliest ugliest ⇒ sensible sensible ∧ gifted ⇒ diplomatic Cannot apply rule “attentive ∧ perfect ∧ diplomatic ⇒ charming” because missing: perfect. Cannot apply...
0
8
Facts: Batman is polite [PERIOD] Batman is grumpy [PERIOD] Rules: grumpy [AND] outrageous [AND] gleaming [IMPLY] confident [PERIOD] confident [AND] wandering [IMPLY] beautiful [PERIOD] polite [AND] quaint [IMPLY] aggressive [PERIOD] polite [IMPLY] agreeable [PERIOD] aggressive [IMPLY] polite [PERIOD] busy [IMPLY] outr...
Proof chain: Cannot apply rule “busy ⇒ outrageous” because missing: busy. polite ⇒ agreeable Cannot apply rule “joyous ∧ confident ∧ agreeable ⇒ outrageous” because missing: joyous, confident. polite ⇒ agreeable agreeable ⇒ gleaming Cannot apply rule “gleaming ∧ joyous ∧ aggressive ⇒ outrageous” becau...
0
8
Facts: Batman is anxious [PERIOD] Batman is bored [PERIOD] Batman is disobedient [PERIOD] Batman is light [PERIOD] Batman is hypocritical [PERIOD] Rules: impatient [IMPLY] smart [PERIOD] sensible [AND] disobedient [IMPLY] light [PERIOD] smart [AND] ugly [IMPLY] enchanting [PERIOD] bossy [AND] fine [IMPLY] busy [PERIOD...
Proof chain: bored ⇒ impatient impatient ⇒ smart light ⇒ mean hypocritical ∧ light ⇒ unpleasant light ∧ mean ∧ unpleasant ⇒ ugly smart ∧ ugly ⇒ enchanting enchanting ⇒ scared hypocritical ∧ scared ⇒ ugliest
1
8
Facts: Batman is serious [PERIOD] Batman is disobedient [PERIOD] Rules: agreeable [AND] serious [IMPLY] exuberant [PERIOD] exuberant [AND] disobedient [IMPLY] mean [PERIOD] disobedient [AND] mean [IMPLY] inexpensive [PERIOD] serious [AND] inexpensive [IMPLY] mean [PERIOD] serious [IMPLY] agreeable [PERIOD] mean [AND] ...
Proof chain: disobedient ⇒ agreeable disobedient ⇒ agreeable agreeable ∧ serious ⇒ exuberant exuberant ∧ disobedient ⇒ mean disobedient ∧ mean ⇒ inexpensive disobedient ⇒ agreeable agreeable ∧ serious ⇒ exuberant agreeable ∧ inexpensive ∧ exuberant ⇒ broad-minded
1
8
Facts: Batman is quaint [PERIOD] Rules: fragile [AND] careless [AND] confused [IMPLY] ugliest [PERIOD] unpleasant [AND] helpless [IMPLY] straightforward [PERIOD] confused [AND] ugliest [IMPLY] aggressive [PERIOD] grumpy [AND] unpleasant [IMPLY] popular [PERIOD] ugliest [AND] popular [AND] grumpy [IMPLY] stubborn [PERI...
Proof chain: quaint ⇒ straightforward quaint ⇒ straightforward straightforward ⇒ unpleasant unpleasant ⇒ tame tame ⇒ confused straightforward ∧ confused ⇒ worried worried ⇒ stubborn stubborn ⇒ bad-tempered
1
8
Facts: Batman is pessimistic [PERIOD] Rules: courageous [AND] calm [AND] thoughtless [IMPLY] pessimistic [PERIOD] grumpy [AND] weary [IMPLY] thoughtless [PERIOD] thoughtless [AND] weary [AND] calm [IMPLY] easy [PERIOD] stupid [AND] supportive [AND] tense [IMPLY] tender [PERIOD] tense [IMPLY] supportive [PERIOD] suppor...
Proof chain: Cannot apply rule “grumpy ∧ weary ⇒ thoughtless” because missing: grumpy, weary. Cannot apply rule “supportive ⇒ thoughtless” because missing: supportive. Cannot apply rule “anxious ∧ diplomatic ⇒ thoughtless” because missing: anxious, diplomatic. Cannot apply rule “courageous ⇒ thoughtless” be...
0
8
Facts: Batman is alert [PERIOD] Batman is difficult [PERIOD] Batman is scared [PERIOD] Rules: aggressive [AND] sleepy [AND] loving [IMPLY] condemned [PERIOD] condemned [IMPLY] glamorous [PERIOD] alert [AND] loving [IMPLY] blushing [PERIOD] blushing [AND] stormy [IMPLY] condemned [PERIOD] modern [AND] difficult [AND] b...
Proof chain: difficult ⇒ broad-minded broad-minded ∧ difficult ⇒ aggressive difficult ⇒ blushing difficult ⇒ broad-minded broad-minded ⇒ sleepy blushing ∧ sleepy ⇒ loving difficult ⇒ blushing aggressive ∧ loving ∧ blushing ⇒ glamorous
1
8
Facts: Batman is famous [PERIOD] Batman is selfish [PERIOD] Batman is powerful [PERIOD] Batman is joyous [PERIOD] Rules: rational [AND] cute [AND] sensible [IMPLY] famous [PERIOD] exuberant [AND] inquisitive [IMPLY] rational [PERIOD] witty [AND] gifted [IMPLY] sensible [PERIOD] joyous [AND] rational [IMPLY] victorious...
Proof chain: joyous ∧ powerful ⇒ ugly ugly ⇒ homely powerful ⇒ shy shy ⇒ confident homely ∧ confident ⇒ cute powerful ⇒ shy shy ⇒ confident cute ∧ confident ⇒ talkative
1
8
Facts: Batman is beautiful [PERIOD] Batman is serious [PERIOD] Batman is cooperative [PERIOD] Batman is exuberant [PERIOD] Batman is attractive [PERIOD] Rules: impartial [AND] attractive [AND] alert [IMPLY] joyous [PERIOD] strange [AND] plain [IMPLY] clumsy [PERIOD] strange [IMPLY] exuberant [PERIOD] serious [AND] hor...
Proof chain: cooperative ⇒ mean mean ∧ serious ⇒ tender serious ∧ attractive ⇒ alert alert ⇒ long tender ∧ long ⇒ horrible cooperative ⇒ clumsy serious ∧ attractive ⇒ alert horrible ∧ clumsy ∧ alert ⇒ joyous
1
8
Facts: Batman is diplomatic [PERIOD] Rules: crowded [IMPLY] diplomatic [PERIOD] naughty [AND] diplomatic [IMPLY] witty [PERIOD] witty [AND] naughty [AND] gorgeous [IMPLY] horrible [PERIOD] weary [AND] naughty [IMPLY] witty [PERIOD] crowded [AND] horrible [IMPLY] gorgeous [PERIOD] crowded [AND] weary [IMPLY] gorgeous [...
Proof chain: Cannot apply rule “crowded ∧ horrible ⇒ gorgeous” because missing: crowded, horrible. Cannot apply rule “crowded ∧ weary ⇒ gorgeous” because missing: crowded, weary. diplomatic ⇒ naughty naughty ∧ diplomatic ⇒ witty Cannot apply rule “witty ∧ diplomatic ∧ horrible ⇒ gorgeous” because missing...
0
8
Facts: Batman is popular [PERIOD] Rules: straightforward [AND] popular [IMPLY] talented [PERIOD] inexpensive [AND] straightforward [IMPLY] frightened [PERIOD] inexpensive [IMPLY] popular [PERIOD] popular [IMPLY] straightforward [PERIOD] inexpensive [AND] straightforward [AND] popular [IMPLY] frightened [PERIOD] fright...
Proof chain: popular ⇒ straightforward straightforward ∧ popular ⇒ comfortable popular ⇒ straightforward straightforward ∧ popular ⇒ talented comfortable ∧ talented ⇒ fine popular ⇒ straightforward straightforward ∧ popular ⇒ comfortable fine ∧ comfortable ⇒ inexpensive
1
8
Facts: Batman is bright [PERIOD] Batman is jittery [PERIOD] Batman is quaint [PERIOD] Batman is horrible [PERIOD] Rules: smart [AND] versatile [IMPLY] worried [PERIOD] scared [AND] quaint [IMPLY] long [PERIOD] helpless [AND] crowded [AND] naughty [IMPLY] wrong [PERIOD] jittery [AND] pessimistic [IMPLY] wrong [PERIOD] ...
Proof chain: bright ⇒ ugliest ugliest ⇒ pessimistic bright ⇒ distinct distinct ⇒ perfect perfect ⇒ witty witty ⇒ versatile pessimistic ∧ bright ∧ versatile ⇒ smart smart ⇒ helpless
1
8
Facts: Rules: hurt [AND] jittery [IMPLY] fearless [PERIOD] strange [AND] jittery [IMPLY] long [PERIOD] talkative [AND] inexpensive [IMPLY] good [PERIOD] alert [AND] wandering [AND] good [IMPLY] talkative [PERIOD] sleepy [AND] weary [IMPLY] alert [PERIOD] hurt [AND] good [IMPLY] jittery [PERIOD] long [AND] strange [AND...
Proof chain: Cannot apply rule “long ∧ strange ∧ cute ⇒ weary” because missing: long, strange, cute. Cannot apply rule “sleepy ⇒ weary” because missing: sleepy. Cannot apply rule “long ∧ cute ∧ fearless ⇒ weary” because missing: long, cute, fearless. Cannot apply rule “cute ⇒ weary” because missing: cute. ...
0
8
Facts: Batman is long [PERIOD] Batman is stubborn [PERIOD] Batman is inexpensive [PERIOD] Batman is loving [PERIOD] Rules: distinct [AND] cruel [AND] loving [IMPLY] blushing [PERIOD] stubborn [AND] tame [IMPLY] wandering [PERIOD] distinct [AND] tense [IMPLY] inexpensive [PERIOD] glamorous [AND] shy [IMPLY] selfish [PE...
Proof chain: long ⇒ cruel cruel ⇒ bright bright ⇒ tame long ⇒ cruel cruel ⇒ bright bright ⇒ disobedient tame ∧ disobedient ⇒ thoughtful inexpensive ∧ thoughtful ⇒ glamorous
1
8
Facts: Batman is cruel [PERIOD] Batman is embarrassed [PERIOD] Batman is helpful [PERIOD] Rules: enchanting [AND] different [IMPLY] silly [PERIOD] joyous [AND] clumsy [IMPLY] silly [PERIOD] embarrassed [IMPLY] silly [PERIOD] embarrassed [IMPLY] outrageous [PERIOD] clumsy [AND] good [AND] dull [IMPLY] helpful [PERIOD] ...
Proof chain: embarrassed ⇒ enchanting embarrassed ⇒ silly enchanting ∧ silly ⇒ frightened embarrassed ⇒ outrageous helpful ∧ cruel ⇒ good embarrassed ⇒ silly good ∧ silly ⇒ clean frightened ∧ outrageous ∧ clean ⇒ wandering
1
8
Facts: Batman is stubborn [PERIOD] Rules: bossy [AND] embarrassed [AND] weary [IMPLY] reserved [PERIOD] busy [AND] vivacious [AND] fearless [IMPLY] bad-tempered [PERIOD] tense [IMPLY] glamorous [PERIOD] quaint [AND] reserved [AND] bad-tempered [IMPLY] busy [PERIOD] reserved [AND] vivacious [AND] busy [IMPLY] stubborn ...
Proof chain: stubborn ⇒ helpful helpful ⇒ tense tense ⇒ glamorous Cannot apply rule “glamorous ∧ vivacious ⇒ fearless” because missing: vivacious. Cannot apply rule “quaint ⇒ fearless” because missing: quaint. stubborn ⇒ helpful helpful ⇒ tense Cannot apply rule “vivacious ∧ tense ∧ bossy ⇒ fear...
0
8
Facts: Batman is hypocritical [PERIOD] Batman is straightforward [PERIOD] Batman is plain [PERIOD] Rules: hypocritical [AND] strange [IMPLY] blushing [PERIOD] attentive [AND] messy [AND] rude [IMPLY] distinct [PERIOD] stormy [IMPLY] straightforward [PERIOD] messy [IMPLY] strange [PERIOD] sensible [AND] hypocritical [I...
Proof chain: Cannot apply rule “crowded ⇒ ugliest” because missing: crowded. Cannot apply rule “messy ∧ victorious ⇒ ugliest” because missing: messy, victorious. Cannot apply rule “careless ∧ hypocritical ∧ strange ⇒ ugliest” because missing: careless, strange. hypocritical ⇒ gleaming Cannot apply rule “...
0
8
Facts: Batman is worrisome [PERIOD] Batman is famous [PERIOD] Batman is lucky [PERIOD] Rules: bright [IMPLY] tired [PERIOD] tame [AND] anxious [IMPLY] famous [PERIOD] tame [IMPLY] worrisome [PERIOD] alert [IMPLY] lucky [PERIOD] ugliest [AND] helpless [AND] anxious [IMPLY] precious [PERIOD] ugliest [AND] alert [AND] an...
Proof chain: lucky ⇒ quaint worrisome ⇒ gorgeous gorgeous ⇒ ugliest worrisome ⇒ gorgeous quaint ∧ ugliest ∧ gorgeous ⇒ dishonest lucky ⇒ bright famous ⇒ jittery dishonest ∧ bright ∧ jittery ⇒ tame
1
8
Facts: Batman is scared [PERIOD] Batman is spotless [PERIOD] Rules: messy [AND] victorious [IMPLY] joyous [PERIOD] cooperative [IMPLY] joyous [PERIOD] scared [IMPLY] shy [PERIOD] scared [IMPLY] nervous [PERIOD] good [AND] victorious [IMPLY] messy [PERIOD] shy [IMPLY] messy [PERIOD] messy [AND] joyous [AND] troubled [I...
Proof chain: scared ⇒ shy shy ⇒ messy messy ⇒ cooperative spotless ⇒ good good ⇒ attentive spotless ⇒ good good ⇒ joyous cooperative ∧ attentive ∧ joyous ⇒ troubled
1
8
Facts: Batman is curious [PERIOD] Rules: enchanting [IMPLY] worried [PERIOD] hurt [IMPLY] powerful [PERIOD] elegant [AND] supportive [AND] uptight [IMPLY] fragile [PERIOD] reserved [IMPLY] frail [PERIOD] uptight [AND] elegant [AND] modern [IMPLY] troubled [PERIOD] frail [AND] horrible [IMPLY] elegant [PERIOD] frail [A...
Proof chain: curious ⇒ horrible Cannot apply rule “frail ∧ horrible ⇒ elegant” because missing: frail. Cannot apply rule “zealous ∧ troubled ∧ tidy ⇒ elegant” because missing: zealous, troubled, tidy. Cannot apply rule “uptight ∧ busy ∧ modern ⇒ elegant” because missing: uptight, busy, modern. Cannot app...
0
8
Facts: Rules: wide-eyed [IMPLY] foolish [PERIOD] wrong [IMPLY] calm [PERIOD] unpleasant [AND] plain [IMPLY] sleepy [PERIOD] outstanding [AND] lucky [IMPLY] sleepy [PERIOD] scared [AND] gorgeous [IMPLY] modern [PERIOD] smart [IMPLY] charming [PERIOD] unpleasant [IMPLY] bored [PERIOD] worried [AND] smart [IMPLY] shy [PE...
Proof chain: Cannot apply rule “worried ⇒ confused” because missing: worried. Cannot apply rule “calm ∧ serious ⇒ confused” because missing: calm, serious. Cannot apply rule “shy ⇒ confused” because missing: shy. Cannot apply rule “modern ∧ outstanding ⇒ confused” because missing: modern, outstanding. Ca...
0
8
Facts: Batman is muddy [PERIOD] Batman is serious [PERIOD] Rules: fancy [AND] stubborn [AND] tired [IMPLY] serious [PERIOD] fancy [IMPLY] wide-eyed [PERIOD] blushing [AND] stubborn [IMPLY] careless [PERIOD] tame [IMPLY] careless [PERIOD] tired [IMPLY] calm [PERIOD] cruel [AND] serious [IMPLY] calm [PERIOD] fancy [AND]...
Proof chain: Cannot apply rule “tame ⇒ tired” because missing: tame. serious ⇒ difficult muddy ∧ difficult ⇒ fancy fancy ⇒ attractive attractive ⇒ careless Cannot apply rule “careless ∧ blushing ∧ impatient ⇒ tired” because missing: blushing, impatient. serious ∧ muddy ⇒ exuberant Cannot apply r...
0
8
Facts: Batman is quaint [PERIOD] Batman is elated [PERIOD] Batman is lonely [PERIOD] Rules: straightforward [IMPLY] vivacious [PERIOD] helpful [AND] horrible [AND] supportive [IMPLY] straightforward [PERIOD] fancy [IMPLY] thoughtless [PERIOD] horrible [AND] gorgeous [IMPLY] messy [PERIOD] confused [IMPLY] horrible [PE...
Proof chain: elated ⇒ thoughtless thoughtless ⇒ bright bright ⇒ gifted elated ⇒ thoughtless gifted ∧ thoughtless ⇒ hurt lonely ∧ hurt ⇒ witty witty ⇒ messy lonely ∧ messy ⇒ scared
1
8
Facts: Rules: ugliest [IMPLY] attentive [PERIOD] elated [AND] plain [IMPLY] old-fashioned [PERIOD] frail [AND] lonely [AND] sleepy [IMPLY] elated [PERIOD] straightforward [AND] long [IMPLY] frail [PERIOD] lonely [AND] homely [AND] plain [IMPLY] uptight [PERIOD] perfect [AND] ugliest [AND] famous [IMPLY] elated [PERIOD...
Proof chain: Cannot apply rule “frail ∧ lonely ∧ sleepy ⇒ elated” because missing: frail, lonely, sleepy. Cannot apply rule “perfect ∧ ugliest ∧ famous ⇒ elated” because missing: perfect, ugliest, famous. Cannot apply rule “old-fashioned ⇒ elated” because missing: old-fashioned. Cannot apply rule “famous ∧ ...
0
8
Facts: Batman is outrageous [PERIOD] Batman is friendly [PERIOD] Batman is sincere [PERIOD] Batman is inquisitive [PERIOD] Rules: dishonest [AND] innocent [AND] unpleasant [IMPLY] inquisitive [PERIOD] unpleasant [AND] inquisitive [AND] lonely [IMPLY] ambitious [PERIOD] vivacious [AND] inquisitive [AND] rational [IMPLY...
Proof chain: sincere ⇒ excited excited ⇒ elated inquisitive ⇒ fragile elated ∧ fragile ∧ inquisitive ⇒ homely sincere ⇒ excited excited ⇒ elated inquisitive ⇒ fragile homely ∧ elated ∧ fragile ⇒ ambitious
1
8
Facts: Batman is witty [PERIOD] Rules: fine [IMPLY] bossy [PERIOD] pessimistic [AND] witty [AND] amused [IMPLY] frail [PERIOD] impatient [IMPLY] frail [PERIOD] condemned [AND] witty [AND] frail [IMPLY] embarrassed [PERIOD] excited [AND] frail [IMPLY] innocent [PERIOD] ugly [IMPLY] helpless [PERIOD] ugly [AND] amused [...
Proof chain: Cannot apply rule “pessimistic ∧ witty ∧ amused ⇒ frail” because missing: pessimistic, amused. Cannot apply rule “impatient ⇒ frail” because missing: impatient. Cannot apply rule “embarrassed ∧ ugly ⇒ frail” because missing: embarrassed, ugly. Cannot apply rule “amused ∧ long ∧ attentive ⇒ frai...
0
8
Facts: Batman is pessimistic [PERIOD] Batman is frantic [PERIOD] Batman is rational [PERIOD] Batman is shy [PERIOD] Batman is broad-minded [PERIOD] Rules: ugly [IMPLY] exuberant [PERIOD] ugly [IMPLY] pessimistic [PERIOD] rational [AND] crowded [AND] broad-minded [IMPLY] fancy [PERIOD] comfortable [IMPLY] alert [PERIOD...
Proof chain: pessimistic ⇒ blushing blushing ∧ shy ⇒ comfortable pessimistic ⇒ blushing blushing ∧ broad-minded ∧ pessimistic ⇒ ugly frantic ⇒ cruel broad-minded ∧ cruel ⇒ crowded ugly ∧ rational ∧ crowded ⇒ homely comfortable ∧ homely ⇒ loving
1
8
Facts: Rules: beautiful [AND] popular [IMPLY] dull [PERIOD] lucky [IMPLY] popular [PERIOD] naughty [IMPLY] lucky [PERIOD] lucky [IMPLY] beautiful [PERIOD] sleepy [IMPLY] beautiful [PERIOD] attractive [AND] excited [AND] agreeable [IMPLY] naughty [PERIOD] lucky [AND] naughty [IMPLY] attractive [PERIOD] excited [AND] di...
Proof chain: Cannot apply rule “sleepy ⇒ agreeable” because missing: sleepy. Cannot apply rule “elegant ⇒ agreeable” because missing: elegant. Cannot apply rule “zealous ∧ naughty ∧ aggressive ⇒ agreeable” because missing: zealous, naughty, aggressive. Cannot apply rule “attractive ⇒ agreeable” because miss...
0
8
Facts: Batman is average [PERIOD] Rules: beautiful [AND] mysterious [AND] condemned [IMPLY] gifted [PERIOD] amused [AND] average [AND] zealous [IMPLY] mysterious [PERIOD] mean [AND] mysterious [AND] light [IMPLY] average [PERIOD] light [AND] zealous [IMPLY] condemned [PERIOD] grumpy [AND] mysterious [IMPLY] mean [PERI...
Proof chain: Cannot apply rule “light ∧ zealous ⇒ condemned” because missing: light, zealous. Cannot apply rule “zealous ⇒ condemned” because missing: zealous. Cannot apply rule “mysterious ∧ bad-tempered ∧ gifted ⇒ condemned” because missing: mysterious, bad-tempered, gifted. Cannot apply rule “gifted ∧ gr...
0
8
Facts: Batman is tidy [PERIOD] Batman is average [PERIOD] Batman is stupid [PERIOD] Batman is disobedient [PERIOD] Batman is embarrassed [PERIOD] Batman is alert [PERIOD] Batman is comfortable [PERIOD] Batman is fearless [PERIOD] Rules: serious [IMPLY] alert [PERIOD] zealous [AND] anxious [AND] comfortable [IMPLY] ela...
Proof chain: Cannot apply rule “precious ⇒ spotless” because missing: precious. stupid ⇒ careless careless ⇒ serious alert ∧ tidy ∧ serious ⇒ anxious Cannot apply rule “anxious ∧ outrageous ∧ amused ⇒ spotless” because missing: outrageous, amused. stupid ⇒ careless alert ∧ average ∧ stupid ⇒ messy ...
0
8
Facts: Batman is sensible [PERIOD] Rules: reserved [AND] polite [AND] bossy [IMPLY] fearless [PERIOD] clumsy [IMPLY] fearless [PERIOD] strange [AND] sincere [AND] lonely [IMPLY] hypocritical [PERIOD] silly [IMPLY] strange [PERIOD] hypocritical [IMPLY] pleasant [PERIOD] clumsy [IMPLY] strange [PERIOD] hypocritical [AND...
Proof chain: sensible ⇒ fearless fearless ⇒ lucky lucky ⇒ polite sensible ⇒ fearless fearless ⇒ lucky lucky ⇒ strange strange ⇒ confident polite ∧ confident ⇒ pleasant
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8
Facts: Rules: supportive [IMPLY] hypocritical [PERIOD] hypocritical [AND] proud [IMPLY] supportive [PERIOD] supportive [AND] gorgeous [IMPLY] enchanting [PERIOD] careless [AND] hypocritical [IMPLY] gorgeous [PERIOD] comfortable [IMPLY] supportive [PERIOD] gorgeous [AND] enchanting [IMPLY] proud [PERIOD] stubborn [IMPL...
Proof chain: Cannot apply rule “hypocritical ∧ proud ⇒ supportive” because missing: hypocritical, proud. Cannot apply rule “comfortable ⇒ supportive” because missing: comfortable. Cannot apply rule “hypocritical ∧ careless ∧ stubborn ⇒ supportive” because missing: hypocritical, careless, stubborn. Cannot ap...
0
8
Facts: Batman is amused [PERIOD] Rules: unpleasant [AND] silly [AND] stupid [IMPLY] busy [PERIOD] amused [AND] silly [AND] stupid [IMPLY] unpleasant [PERIOD] stupid [AND] busy [AND] amused [IMPLY] silly [PERIOD] stupid [AND] unpleasant [AND] modern [IMPLY] amused [PERIOD] stupid [AND] amused [IMPLY] silly [PERIOD] stu...
Proof chain: amused ⇒ modern modern ⇒ unpleasant Cannot apply rule “unpleasant ∧ silly ∧ stupid ⇒ busy” because missing: silly, stupid. amused ⇒ modern Cannot apply rule “modern ∧ silly ⇒ busy” because missing: silly. amused ⇒ modern modern ⇒ unpleasant Cannot apply rule “unpleasant ∧ silly ⇒ bu...
0
8
Facts: Batman is friendly [PERIOD] Batman is serious [PERIOD] Batman is polite [PERIOD] Batman is combative [PERIOD] Batman is beautiful [PERIOD] Batman is muddy [PERIOD] Rules: homely [IMPLY] joyous [PERIOD] shiny [AND] courageous [AND] careless [IMPLY] frail [PERIOD] muddy [AND] careless [AND] shiny [IMPLY] homely [...
Proof chain: muddy ⇒ witty Cannot apply rule “careless ∧ polite ∧ witty ⇒ bossy” because missing: careless. beautiful ∧ polite ⇒ quaint quaint ∧ friendly ⇒ precious muddy ⇒ witty witty ∧ serious ⇒ blushing Cannot apply rule “precious ∧ joyous ∧ blushing ⇒ bossy” because missing: joyous. Cannot a...
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8
Facts: Batman is good [PERIOD] Rules: frail [IMPLY] wandering [PERIOD] bossy [IMPLY] frantic [PERIOD] intellectual [AND] careless [IMPLY] modern [PERIOD] mean [IMPLY] lucky [PERIOD] mean [AND] stubborn [AND] selfish [IMPLY] bossy [PERIOD] selfish [AND] lucky [IMPLY] outrageous [PERIOD] diplomatic [AND] worried [IMPLY]...
Proof chain: Cannot apply rule “intellectual ∧ careless ⇒ modern” because missing: intellectual, careless. good ⇒ versatile Cannot apply rule “thoughtless ∧ versatile ∧ mean ⇒ modern” because missing: thoughtless, mean. Cannot apply rule “intellectual ∧ lucky ∧ fine ⇒ modern” because missing: intellectual, ...
0
8
Facts: Rules: mysterious [AND] tender [IMPLY] exuberant [PERIOD] good [AND] cooperative [IMPLY] mysterious [PERIOD] exuberant [AND] lucky [IMPLY] messy [PERIOD] tired [AND] ugly [AND] cooperative [IMPLY] shy [PERIOD] wandering [AND] elegant [IMPLY] lucky [PERIOD] messy [AND] wandering [AND] shy [IMPLY] lucky [PERIOD] ...
Proof chain: Cannot apply rule “wandering ∧ elegant ⇒ lucky” because missing: wandering, elegant. Cannot apply rule “messy ∧ wandering ∧ shy ⇒ lucky” because missing: messy, wandering, shy. Cannot apply rule “messy ⇒ lucky” because missing: messy. Cannot apply rule “good ∧ exuberant ⇒ lucky” because missing...
0
8
Facts: Rules: busy [IMPLY] disgusted [PERIOD] thoughtful [IMPLY] troubled [PERIOD] tidy [IMPLY] beautiful [PERIOD] outstanding [IMPLY] troubled [PERIOD] beautiful [AND] outstanding [IMPLY] long [PERIOD] clumsy [IMPLY] beautiful [PERIOD] elegant [AND] beautiful [IMPLY] clumsy [PERIOD] long [AND] thoughtful [IMPLY] beau...
Proof chain: Cannot apply rule “tidy ⇒ beautiful” because missing: tidy. Cannot apply rule “clumsy ⇒ beautiful” because missing: clumsy. Cannot apply rule “long ∧ thoughtful ⇒ beautiful” because missing: long, thoughtful. Cannot apply rule “long ∧ outstanding ⇒ beautiful” because missing: long, outstanding....
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8
Facts: Batman is uptight [PERIOD] Rules: mean [AND] cruel [IMPLY] pleasant [PERIOD] grumpy [AND] embarrassed [AND] worried [IMPLY] wandering [PERIOD] calm [AND] mean [AND] rational [IMPLY] pleasant [PERIOD] rational [AND] selfish [IMPLY] mean [PERIOD] rational [AND] embarrassed [AND] calm [IMPLY] wide-eyed [PERIOD] br...
Proof chain: Cannot apply rule “embarrassed ⇒ rational” because missing: embarrassed. uptight ⇒ worried worried ⇒ attentive attentive ⇒ busy busy ⇒ pleasant pleasant ⇒ frail frail ⇒ cruel Cannot apply rule “cruel ∧ outrageous ⇒ rational” because missing: outrageous.
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8
Facts: Batman is courageous [PERIOD] Batman is impartial [PERIOD] Batman is plain [PERIOD] Rules: wide-eyed [IMPLY] diplomatic [PERIOD] careless [AND] attractive [IMPLY] plain [PERIOD] plain [AND] attractive [AND] diplomatic [IMPLY] careless [PERIOD] diplomatic [IMPLY] vivacious [PERIOD] ambitious [AND] courageous [IM...
Proof chain: courageous ⇒ difficult plain ⇒ easy easy ⇒ sensible sensible ⇒ wandering Cannot apply rule “selfish ∧ difficult ∧ wandering ⇒ quaint” because missing: selfish. courageous ⇒ stubborn Cannot apply rule “clean ∧ stubborn ⇒ quaint” because missing: clean. Cannot apply rule “excited ∧ vi...
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8
Facts: Batman is alert [PERIOD] Batman is crowded [PERIOD] Rules: hurt [AND] calm [IMPLY] supportive [PERIOD] enchanting [IMPLY] messy [PERIOD] outstanding [AND] anxious [IMPLY] tired [PERIOD] diplomatic [AND] rational [AND] silly [IMPLY] outstanding [PERIOD] smart [AND] busy [IMPLY] supportive [PERIOD] attractive [AN...
Proof chain: Cannot apply rule “outstanding ∧ anxious ⇒ tired” because missing: outstanding, anxious. Cannot apply rule “stubborn ⇒ tired” because missing: stubborn. Cannot apply rule “outstanding ∧ stubborn ⇒ tired” because missing: outstanding, stubborn. crowded ⇒ worrisome Cannot apply rule “glamorous...
0
8
Facts: Batman is hilarious [PERIOD] Batman is old-fashioned [PERIOD] Batman is mysterious [PERIOD] Rules: clumsy [AND] old-fashioned [IMPLY] messy [PERIOD] shy [AND] confused [AND] ambitious [IMPLY] elated [PERIOD] shy [IMPLY] aggressive [PERIOD] worrisome [AND] aggressive [IMPLY] elated [PERIOD] hilarious [AND] myste...
Proof chain: old-fashioned ⇒ worrisome worrisome ⇒ confused Cannot apply rule “shy ∧ confused ∧ ambitious ⇒ elated” because missing: shy, ambitious. old-fashioned ⇒ worrisome Cannot apply rule “worrisome ∧ aggressive ⇒ elated” because missing: aggressive. old-fashioned ⇒ worrisome worrisome ⇒ confu...
0
8
Facts: Rules: precious [IMPLY] weary [PERIOD] long [IMPLY] silly [PERIOD] unpleasant [AND] thoughtless [AND] bossy [IMPLY] calm [PERIOD] dull [AND] scared [AND] silly [IMPLY] serious [PERIOD] precious [AND] silly [IMPLY] shiny [PERIOD] old-fashioned [IMPLY] shiny [PERIOD] broad-minded [AND] long [IMPLY] dull [PERIOD] ...
Proof chain: Cannot apply rule “precious ∧ serious ∧ tidy ⇒ long” because missing: precious, serious, tidy. Cannot apply rule “thoughtless ∧ bossy ⇒ long” because missing: thoughtless, bossy. Cannot apply rule “dull ⇒ long” because missing: dull. Cannot apply rule “wandering ∧ elated ⇒ long” because missing...
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8
Facts: Rules: condemned [IMPLY] excited [PERIOD] elated [IMPLY] long [PERIOD] muddy [IMPLY] long [PERIOD] tense [AND] elated [AND] loving [IMPLY] muddy [PERIOD] strange [AND] tense [IMPLY] muddy [PERIOD] long [AND] combative [IMPLY] tame [PERIOD] tense [IMPLY] excited [PERIOD] busy [IMPLY] condemned [PERIOD] elated [A...
Proof chain: Cannot apply rule “elated ⇒ long” because missing: elated. Cannot apply rule “muddy ⇒ long” because missing: muddy. Cannot apply rule “condemned ∧ horrible ⇒ long” because missing: condemned, horrible. Cannot apply rule “horrible ⇒ long” because missing: horrible. Cannot apply rule “cruel ∧ ...
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8
Facts: Batman is foolish [PERIOD] Batman is gorgeous [PERIOD] Rules: clumsy [AND] spotless [IMPLY] troubled [PERIOD] condemned [AND] serious [AND] clumsy [IMPLY] tame [PERIOD] messy [AND] beautiful [AND] fearless [IMPLY] smart [PERIOD] proud [IMPLY] friendly [PERIOD] gorgeous [AND] adorable [AND] frail [IMPLY] clumsy ...
Proof chain: foolish ⇒ elegant elegant ⇒ tame gorgeous ∧ foolish ⇒ messy messy ⇒ attentive foolish ⇒ shiny shiny ∧ gorgeous ⇒ serious serious ∧ gorgeous ⇒ clean tame ∧ attentive ∧ clean ⇒ easy
1
8
Facts: Batman is excited [PERIOD] Batman is disgusted [PERIOD] Rules: dull [AND] cute [IMPLY] homely [PERIOD] aggressive [IMPLY] dull [PERIOD] clumsy [AND] disgusted [IMPLY] ugliest [PERIOD] comfortable [AND] cute [IMPLY] versatile [PERIOD] homely [IMPLY] supportive [PERIOD] disgusted [AND] dull [AND] comfortable [IMP...
Proof chain: disgusted ⇒ supportive excited ⇒ clumsy disgusted ∧ supportive ∧ clumsy ⇒ comfortable comfortable ⇒ aggressive excited ⇒ clumsy clumsy ∧ disgusted ⇒ ugliest aggressive ∧ ugliest ∧ excited ⇒ homely homely ⇒ cute
1
8
Facts: Batman is naughty [PERIOD] Batman is stubborn [PERIOD] Batman is confident [PERIOD] Rules: rude [AND] confident [AND] worried [IMPLY] selfish [PERIOD] combative [AND] worried [IMPLY] silly [PERIOD] wide-eyed [IMPLY] impatient [PERIOD] confident [AND] combative [IMPLY] confused [PERIOD] troubled [AND] confused [...
Proof chain: confident ⇒ excited excited ⇒ bored confident ∧ bored ∧ stubborn ⇒ silly confident ⇒ excited excited ⇒ bored confident ∧ bored ∧ stubborn ⇒ silly silly ⇒ impatient Cannot apply rule “agreeable ∧ silly ∧ impatient ⇒ innocent” because missing: agreeable.
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8
Facts: Batman is perfect [PERIOD] Batman is bright [PERIOD] Batman is shy [PERIOD] Rules: hypocritical [AND] charming [AND] agreeable [IMPLY] gleaming [PERIOD] ambitious [AND] plain [AND] inexpensive [IMPLY] spotless [PERIOD] perfect [AND] impatient [AND] sensible [IMPLY] clean [PERIOD] agreeable [AND] enchanting [IMP...
Proof chain: perfect ⇒ hypocritical hypocritical ⇒ intellectual intellectual ⇒ ambitious ambitious ⇒ excited perfect ⇒ hypocritical hypocritical ⇒ intellectual intellectual ⇒ spotless excited ∧ spotless ⇒ confused
1
8
Facts: Batman is charming [PERIOD] Batman is straightforward [PERIOD] Batman is bad-tempered [PERIOD] Batman is cooperative [PERIOD] Batman is attractive [PERIOD] Batman is amused [PERIOD] Rules: foolish [IMPLY] proud [PERIOD] stubborn [IMPLY] powerful [PERIOD] sensible [AND] spotless [AND] hurt [IMPLY] naughty [PERIO...
Proof chain: Cannot apply rule “frantic ⇒ reserved” because missing: frantic. straightforward ⇒ hurt amused ⇒ stubborn Cannot apply rule “foolish ∧ hurt ∧ stubborn ⇒ reserved” because missing: foolish. Cannot apply rule “spotless ⇒ reserved” because missing: spotless. bad-tempered ⇒ powerful amused...
0
8
Facts: Batman is tender [PERIOD] Batman is stupid [PERIOD] Rules: hurt [AND] adorable [IMPLY] zealous [PERIOD] helpful [AND] shiny [AND] hurt [IMPLY] zealous [PERIOD] stupid [IMPLY] tender [PERIOD] zealous [AND] shiny [IMPLY] helpful [PERIOD] stupid [AND] hurt [AND] tender [IMPLY] shiny [PERIOD] zealous [AND] hurt [AN...
Proof chain: stupid ⇒ adorable adorable ⇒ hurt stupid ⇒ adorable hurt ∧ adorable ⇒ zealous stupid ⇒ adorable adorable ⇒ hurt stupid ∧ hurt ∧ tender ⇒ shiny zealous ∧ shiny ⇒ helpful
1
8
Facts: Batman is distinct [PERIOD] Batman is popular [PERIOD] Batman is horrible [PERIOD] Batman is serious [PERIOD] Batman is busy [PERIOD] Batman is muddy [PERIOD] Batman is dull [PERIOD] Batman is bossy [PERIOD] Rules: frightened [IMPLY] bossy [PERIOD] cute [IMPLY] horrible [PERIOD] busy [AND] hypocritical [IMPLY] ...
Proof chain: bossy ⇒ famous famous ⇒ frightened frightened ⇒ lucky bossy ⇒ famous famous ⇒ frightened bossy ⇒ famous lucky ∧ frightened ∧ famous ⇒ hypocritical bossy ∧ hypocritical ∧ muddy ⇒ diplomatic
1
8
Facts: Batman is dishonest [PERIOD] Rules: troubled [AND] old-fashioned [AND] stupid [IMPLY] dishonest [PERIOD] old-fashioned [IMPLY] troubled [PERIOD] stupid [IMPLY] precious [PERIOD] dishonest [AND] old-fashioned [IMPLY] troubled [PERIOD] troubled [AND] dishonest [AND] precious [IMPLY] old-fashioned [PERIOD] enchant...
Proof chain: dishonest ⇒ old-fashioned old-fashioned ⇒ troubled dishonest ⇒ old-fashioned old-fashioned ⇒ troubled dishonest ⇒ precious troubled ∧ precious ⇒ silly silly ⇒ enchanting troubled ∧ enchanting ⇒ stupid
1
8
Facts: Batman is outstanding [PERIOD] Batman is aggressive [PERIOD] Batman is stubborn [PERIOD] Batman is blushing [PERIOD] Batman is lucky [PERIOD] Batman is combative [PERIOD] Batman is easy [PERIOD] Batman is gorgeous [PERIOD] Batman is muddy [PERIOD] Batman is inquisitive [PERIOD] Batman is unpleasant [PERIOD] Bat...
Proof chain: inquisitive ⇒ calm outstanding ∧ calm ∧ gorgeous ⇒ courageous inquisitive ⇒ calm easy ∧ calm ⇒ busy stubborn ⇒ innocent innocent ∧ muddy ∧ unpleasant ⇒ worrisome busy ∧ worrisome ⇒ tidy Cannot apply rule “spotless ∧ courageous ∧ tidy ⇒ distinct” because missing: spotless.
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8
Facts: Batman is helpless [PERIOD] Batman is friendly [PERIOD] Batman is excited [PERIOD] Batman is tired [PERIOD] Batman is gorgeous [PERIOD] Rules: hypocritical [IMPLY] ambitious [PERIOD] stupid [AND] average [IMPLY] tired [PERIOD] helpless [IMPLY] serious [PERIOD] stupid [IMPLY] troubled [PERIOD] average [IMPLY] fr...
Proof chain: helpless ⇒ serious friendly ⇒ calm calm ⇒ average Cannot apply rule “elegant ∧ serious ∧ average ⇒ perfect” because missing: elegant. friendly ⇒ calm friendly ∧ calm ⇒ fine Cannot apply rule “bad-tempered ∧ fine ⇒ perfect” because missing: bad-tempered. Cannot apply rule “elegant ∧ ...
0
8
Facts: Batman is stupid [PERIOD] Rules: busy [AND] blushing [IMPLY] strange [PERIOD] busy [AND] cruel [AND] vivacious [IMPLY] stupid [PERIOD] strange [AND] ugliest [AND] naughty [IMPLY] beautiful [PERIOD] alert [AND] strange [AND] clean [IMPLY] broad-minded [PERIOD] lonely [IMPLY] frail [PERIOD] perfect [AND] beautifu...
Proof chain: Cannot apply rule “comfortable ∧ perfect ⇒ vivacious” because missing: comfortable, perfect. Cannot apply rule “friendly ⇒ vivacious” because missing: friendly. Cannot apply rule “bored ∧ smart ∧ popular ⇒ vivacious” because missing: bored, smart, popular. Cannot apply rule “ugliest ∧ broad-min...
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8
Facts: Batman is polite [PERIOD] Batman is nervous [PERIOD] Batman is thoughtless [PERIOD] Batman is plain [PERIOD] Rules: stubborn [AND] average [AND] horrible [IMPLY] thoughtful [PERIOD] thoughtful [IMPLY] troubled [PERIOD] quaint [AND] horrible [AND] cooperative [IMPLY] nervous [PERIOD] thoughtful [AND] quaint [AND...
Proof chain: Cannot apply rule “nervous ∧ reserved ∧ elegant ⇒ anxious” because missing: reserved, elegant. Cannot apply rule “horrible ⇒ anxious” because missing: horrible. Cannot apply rule “cooperative ∧ stubborn ∧ easy ⇒ anxious” because missing: cooperative, stubborn, easy. polite ⇒ long Cannot appl...
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8
Facts: Batman is fearless [PERIOD] Batman is glamorous [PERIOD] Batman is cute [PERIOD] Batman is famous [PERIOD] Batman is worried [PERIOD] Rules: straightforward [AND] helpful [IMPLY] joyous [PERIOD] helpful [AND] shy [IMPLY] talented [PERIOD] gorgeous [AND] different [AND] confused [IMPLY] glamorous [PERIOD] shy [I...
Proof chain: cute ⇒ helpful worried ⇒ shy helpful ∧ shy ⇒ talented cute ⇒ helpful worried ⇒ shy helpful ∧ shy ⇒ talented worried ∧ talented ⇒ good talented ∧ good ⇒ gleaming
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Facts: Batman is condemned [PERIOD] Batman is pleasant [PERIOD] Batman is tired [PERIOD] Batman is glamorous [PERIOD] Rules: inexpensive [AND] pleasant [AND] helpless [IMPLY] tired [PERIOD] helpless [AND] condemned [AND] pleasant [IMPLY] tired [PERIOD] uptight [AND] reserved [IMPLY] confident [PERIOD] condemned [AND] ...
Proof chain: Cannot apply rule “condemned ∧ reserved ∧ confident ⇒ uptight” because missing: reserved, confident. Cannot apply rule “pleasant ∧ inexpensive ∧ dishonest ⇒ uptight” because missing: inexpensive, dishonest. tired ⇒ impatient Cannot apply rule “pleasant ∧ impatient ∧ long ⇒ uptight” because miss...
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8
Facts: Batman is bad-tempered [PERIOD] Batman is precious [PERIOD] Rules: enchanting [AND] jittery [IMPLY] supportive [PERIOD] jittery [IMPLY] attentive [PERIOD] wide-eyed [AND] supportive [IMPLY] silly [PERIOD] different [IMPLY] quaint [PERIOD] average [AND] powerful [AND] vivacious [IMPLY] gifted [PERIOD] jittery [A...
Proof chain: precious ⇒ long long ⇒ quaint bad-tempered ∧ quaint ⇒ different bad-tempered ∧ different ⇒ fine precious ⇒ long long ⇒ silly fine ∧ silly ⇒ broad-minded broad-minded ⇒ bored
1
8
Facts: Rules: distinct [IMPLY] lonely [PERIOD] weary [AND] muddy [IMPLY] lonely [PERIOD] precious [IMPLY] weary [PERIOD] outstanding [AND] muddy [IMPLY] joyous [PERIOD] joyous [AND] muddy [IMPLY] precious [PERIOD] innocent [AND] confident [AND] lonely [IMPLY] distinct [PERIOD] lonely [IMPLY] confident [PERIOD] elated ...
Proof chain: Cannot apply rule “distinct ⇒ lonely” because missing: distinct. Cannot apply rule “weary ∧ muddy ⇒ lonely” because missing: weary, muddy. Cannot apply rule “confident ∧ elated ∧ innocent ⇒ lonely” because missing: confident, elated, innocent. Cannot apply rule “weary ⇒ lonely” because missing:...
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8
Facts: Batman is foolish [PERIOD] Batman is tender [PERIOD] Batman is attractive [PERIOD] Batman is talkative [PERIOD] Batman is naughty [PERIOD] Batman is embarrassed [PERIOD] Rules: joyous [AND] stubborn [IMPLY] attractive [PERIOD] hypocritical [AND] ugliest [IMPLY] embarrassed [PERIOD] attentive [AND] wide-eyed [AN...
Proof chain: foolish ⇒ gorgeous gorgeous ⇒ hypocritical naughty ∧ talkative ⇒ ambitious talkative ⇒ impatient attractive ∧ embarrassed ⇒ confused impatient ∧ confused ⇒ ugliest ambitious ∧ ugliest ⇒ stubborn hypocritical ∧ stubborn ⇒ bad-tempered
1
8
Facts: Batman is crowded [PERIOD] Batman is exuberant [PERIOD] Rules: shy [IMPLY] crowded [PERIOD] shy [AND] helpful [IMPLY] adorable [PERIOD] adorable [AND] sleepy [AND] gorgeous [IMPLY] frightened [PERIOD] crowded [AND] easy [IMPLY] sleepy [PERIOD] famous [AND] proud [AND] frightened [IMPLY] gorgeous [PERIOD] crowde...
Proof chain: crowded ⇒ helpful crowded ⇒ helpful helpful ⇒ fragile crowded ⇒ helpful helpful ⇒ fragile exuberant ∧ fragile ∧ crowded ⇒ gorgeous fragile ∧ gorgeous ⇒ adorable helpful ∧ adorable ⇒ shy
1
8
Facts: Batman is bored [PERIOD] Batman is proud [PERIOD] Batman is gorgeous [PERIOD] Batman is clean [PERIOD] Rules: ambitious [IMPLY] proud [PERIOD] ambitious [AND] innocent [IMPLY] strange [PERIOD] popular [AND] aggressive [AND] ambitious [IMPLY] cruel [PERIOD] innocent [AND] muddy [AND] precious [IMPLY] quaint [PER...
Proof chain: gorgeous ⇒ good gorgeous ∧ clean ∧ good ⇒ muddy Cannot apply rule “innocent ∧ muddy ∧ precious ⇒ quaint” because missing: innocent, precious. clean ⇒ aggressive gorgeous ⇒ good gorgeous ∧ clean ∧ good ⇒ muddy Cannot apply rule “aggressive ∧ muddy ∧ popular ⇒ quaint” because missing: po...
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8
Facts: Batman is diplomatic [PERIOD] Batman is lonely [PERIOD] Rules: mysterious [AND] pessimistic [AND] worrisome [IMPLY] helpless [PERIOD] tired [AND] shy [IMPLY] elated [PERIOD] beautiful [IMPLY] shy [PERIOD] pessimistic [AND] helpless [AND] proud [IMPLY] mysterious [PERIOD] proud [AND] helpless [IMPLY] lucky [PERI...
Proof chain: lonely ⇒ lucky lucky ⇒ worrisome lonely ⇒ lucky lucky ⇒ worrisome diplomatic ⇒ beautiful beautiful ⇒ shy worrisome ∧ shy ⇒ glamorous worrisome ∧ glamorous ⇒ pessimistic
1
8
Facts: Batman is ugly [PERIOD] Rules: ugliest [IMPLY] aggressive [PERIOD] ugliest [AND] gifted [AND] perfect [IMPLY] serious [PERIOD] aggressive [AND] different [IMPLY] selfish [PERIOD] clean [AND] aggressive [AND] polite [IMPLY] excited [PERIOD] cooperative [AND] excited [IMPLY] enchanting [PERIOD] clean [AND] differ...
Proof chain: ugly ⇒ rude ugly ⇒ rude rude ⇒ crowded crowded ⇒ comfortable comfortable ⇒ gifted rude ∧ gifted ⇒ adorable adorable ⇒ fearless fearless ⇒ gleaming
1
8
Facts: Batman is pleasant [PERIOD] Rules: supportive [AND] reserved [AND] sleepy [IMPLY] dishonest [PERIOD] sleepy [IMPLY] stupid [PERIOD] modern [IMPLY] rude [PERIOD] sleepy [AND] modern [IMPLY] mean [PERIOD] selfish [IMPLY] dishonest [PERIOD] famous [IMPLY] pleasant [PERIOD] alert [IMPLY] rude [PERIOD] difficult [IM...
Proof chain: pleasant ⇒ stupid stupid ⇒ modern modern ⇒ rude pleasant ⇒ stupid stupid ⇒ modern pleasant ∧ rude ∧ modern ⇒ famous famous ⇒ reserved reserved ⇒ selfish
1
8
Facts: Batman is hurt [PERIOD] Rules: tidy [AND] fine [AND] anxious [IMPLY] modern [PERIOD] wandering [IMPLY] reserved [PERIOD] modern [AND] fine [AND] disgusted [IMPLY] muddy [PERIOD] tense [AND] muddy [AND] anxious [IMPLY] reserved [PERIOD] fragile [AND] scared [IMPLY] hurt [PERIOD] reserved [AND] hurt [AND] victori...
Proof chain: Cannot apply rule “tidy ∧ hurt ⇒ fearless” because missing: tidy. hurt ⇒ beautiful beautiful ∧ hurt ⇒ reserved reserved ⇒ naughty Cannot apply rule “anxious ∧ naughty ⇒ fearless” because missing: anxious. hurt ⇒ beautiful beautiful ∧ hurt ⇒ reserved Cannot apply rule “reserved ∧ fin...
0
8
Facts: Rules: shy [IMPLY] bad-tempered [PERIOD] stupid [IMPLY] sensible [PERIOD] gifted [AND] stupid [IMPLY] fine [PERIOD] shy [AND] gifted [AND] disgusted [IMPLY] straightforward [PERIOD] inexpensive [IMPLY] talkative [PERIOD] homely [AND] disgusted [AND] bright [IMPLY] pessimistic [PERIOD] wandering [IMPLY] sensible...
Proof chain: Cannot apply rule “homely ∧ disgusted ∧ bright ⇒ pessimistic” because missing: homely, disgusted, bright. Cannot apply rule “helpless ∧ zealous ∧ bad-tempered ⇒ pessimistic” because missing: helpless, zealous, bad-tempered. Cannot apply rule “shy ⇒ pessimistic” because missing: shy. Cannot appl...
0
8
Facts: Batman is pleasant [PERIOD] Rules: confident [IMPLY] perfect [PERIOD] thoughtless [AND] shiny [AND] scared [IMPLY] precious [PERIOD] thoughtless [AND] cute [IMPLY] stubborn [PERIOD] smart [AND] amused [AND] shiny [IMPLY] polite [PERIOD] scared [AND] troubled [AND] outstanding [IMPLY] modern [PERIOD] amused [AND...
Proof chain: pleasant ⇒ tired tired ⇒ cruel cruel ⇒ careless pleasant ⇒ tired tired ⇒ cruel pleasant ⇒ fine fine ⇒ smart careless ∧ cruel ∧ smart ⇒ shiny
1
8
Facts: Batman is exuberant [PERIOD] Rules: difficult [AND] shy [IMPLY] confused [PERIOD] unpleasant [AND] frantic [AND] tame [IMPLY] friendly [PERIOD] confused [IMPLY] frantic [PERIOD] helpless [AND] anxious [AND] wandering [IMPLY] spotless [PERIOD] shy [AND] frightened [IMPLY] smart [PERIOD] friendly [IMPLY] fearless...
Proof chain: exuberant ⇒ smart exuberant ⇒ frightened smart ∧ frightened ⇒ unpleasant unpleasant ⇒ popular exuberant ⇒ smart exuberant ⇒ frightened smart ∧ frightened ⇒ unpleasant popular ∧ unpleasant ⇒ talkative
1
8
Facts: Batman is old-fashioned [PERIOD] Batman is cute [PERIOD] Batman is hypocritical [PERIOD] Batman is average [PERIOD] Batman is unpleasant [PERIOD] Rules: amused [AND] bored [IMPLY] selfish [PERIOD] modern [IMPLY] old-fashioned [PERIOD] cute [AND] calm [AND] silly [IMPLY] long [PERIOD] unpleasant [AND] lonely [IM...
Proof chain: hypocritical ⇒ proud proud ∧ average ∧ unpleasant ⇒ frantic hypocritical ⇒ anxious old-fashioned ∧ anxious ⇒ calm calm ⇒ jittery hypocritical ∧ cute ∧ jittery ⇒ gleaming frantic ∧ gleaming ⇒ dull dull ⇒ modern
1
8
Facts: Batman is disgusted [PERIOD] Batman is tidy [PERIOD] Batman is rude [PERIOD] Rules: average [IMPLY] weary [PERIOD] troubled [AND] wrong [IMPLY] bossy [PERIOD] horrible [IMPLY] helpful [PERIOD] careless [IMPLY] cruel [PERIOD] troubled [AND] clumsy [IMPLY] witty [PERIOD] loving [AND] combative [IMPLY] tidy [PERIO...
Proof chain: Cannot apply rule “helpful ∧ loving ∧ careless ⇒ troubled” because missing: helpful, loving, careless. rude ⇒ victorious victorious ⇒ uptight rude ⇒ victorious victorious ⇒ hilarious disgusted ∧ uptight ∧ hilarious ⇒ stormy stormy ⇒ average Cannot apply rule “average ∧ ambitious ∧ h...
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Facts: Rules: lonely [IMPLY] excited [PERIOD] hypocritical [IMPLY] worried [PERIOD] silly [IMPLY] lonely [PERIOD] plain [IMPLY] elegant [PERIOD] elegant [IMPLY] busy [PERIOD] worried [IMPLY] busy [PERIOD] hurt [AND] sleepy [AND] busy [IMPLY] silly [PERIOD] innocent [AND] excited [AND] silly [IMPLY] average [PERIOD] in...
Proof chain: Cannot apply rule “average ∧ nervous ⇒ sleepy” because missing: average, nervous. Cannot apply rule “hurt ∧ plain ⇒ sleepy” because missing: hurt, plain. Cannot apply rule “plain ∧ lonely ∧ average ⇒ sleepy” because missing: plain, lonely, average. Cannot apply rule “lonely ∧ hypocritical ∧ sil...
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Facts: Batman is talkative [PERIOD] Rules: straightforward [IMPLY] pessimistic [PERIOD] worrisome [AND] glamorous [AND] hurt [IMPLY] diplomatic [PERIOD] pessimistic [AND] hurt [IMPLY] straightforward [PERIOD] pessimistic [IMPLY] worrisome [PERIOD] hurt [AND] straightforward [AND] pessimistic [IMPLY] talkative [PERIOD]...
Proof chain: talkative ⇒ hurt hurt ∧ talkative ⇒ diplomatic diplomatic ⇒ straightforward straightforward ⇒ pessimistic pessimistic ⇒ worrisome talkative ⇒ hurt hurt ∧ talkative ⇒ diplomatic worrisome ∧ diplomatic ⇒ glamorous
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Facts: Batman is friendly [PERIOD] Batman is beautiful [PERIOD] Batman is loving [PERIOD] Batman is amused [PERIOD] Batman is hypocritical [PERIOD] Rules: tired [IMPLY] good [PERIOD] easy [AND] pessimistic [AND] scared [IMPLY] careless [PERIOD] friendly [AND] pessimistic [IMPLY] dull [PERIOD] loving [IMPLY] hurt [PERI...
Proof chain: loving ⇒ hurt hypocritical ∧ hurt ⇒ tired tired ⇒ old-fashioned beautiful ∧ loving ∧ friendly ⇒ curious curious ⇒ good good ⇒ scared old-fashioned ∧ loving ∧ scared ⇒ average average ∧ friendly ⇒ glamorous
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Facts: Batman is reserved [PERIOD] Batman is tame [PERIOD] Batman is frail [PERIOD] Rules: frail [IMPLY] disgusted [PERIOD] blushing [AND] bored [AND] distinct [IMPLY] disgusted [PERIOD] famous [IMPLY] bored [PERIOD] charming [AND] cute [IMPLY] famous [PERIOD] famous [IMPLY] distinct [PERIOD] frail [IMPLY] victorious ...
Proof chain: tame ⇒ modern frail ⇒ disgusted modern ∧ disgusted ⇒ blushing tame ⇒ modern frail ⇒ disgusted disgusted ⇒ stupid stupid ⇒ weary blushing ∧ modern ∧ weary ⇒ cute
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Facts: Batman is weary [PERIOD] Rules: hypocritical [AND] weary [AND] muddy [IMPLY] alert [PERIOD] weary [AND] impatient [IMPLY] stormy [PERIOD] weary [AND] fine [IMPLY] hypocritical [PERIOD] weary [AND] hypocritical [IMPLY] troubled [PERIOD] weary [IMPLY] worrisome [PERIOD] alert [AND] stormy [IMPLY] hypocritical [PE...
Proof chain: weary ⇒ stormy weary ⇒ talented stormy ∧ talented ∧ weary ⇒ hypocritical weary ⇒ talented weary ⇒ stormy weary ⇒ worrisome talented ∧ stormy ∧ worrisome ⇒ muddy hypocritical ∧ weary ∧ muddy ⇒ alert
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Facts: Batman is grumpy [PERIOD] Batman is pessimistic [PERIOD] Batman is scared [PERIOD] Rules: bright [AND] quaint [IMPLY] ugly [PERIOD] elegant [AND] courageous [AND] ambitious [IMPLY] condemned [PERIOD] grumpy [AND] jittery [IMPLY] popular [PERIOD] ugly [IMPLY] elegant [PERIOD] scared [AND] elegant [IMPLY] pessimi...
Proof chain: Cannot apply rule “bad-tempered ∧ homely ∧ pleasant ⇒ courageous” because missing: bad-tempered, homely, pleasant. Cannot apply rule “bad-tempered ⇒ courageous” because missing: bad-tempered. pessimistic ⇒ fearless fearless ⇒ talented Cannot apply rule “uptight ∧ talented ⇒ courageous” becau...
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Facts: Batman is easy [PERIOD] Rules: silly [AND] gleaming [AND] stubborn [IMPLY] wide-eyed [PERIOD] wide-eyed [IMPLY] silly [PERIOD] wide-eyed [AND] gleaming [IMPLY] easy [PERIOD] easy [IMPLY] stubborn [PERIOD] gleaming [AND] wide-eyed [AND] easy [IMPLY] silly [PERIOD] silly [IMPLY] wide-eyed [PERIOD] wide-eyed [IMPL...
Proof chain: easy ⇒ stubborn easy ∧ stubborn ⇒ gleaming easy ⇒ stubborn Cannot apply rule “silly ∧ gleaming ∧ stubborn ⇒ wide-eyed” because missing: silly. Cannot apply rule “silly ⇒ wide-eyed” because missing: silly. easy ⇒ stubborn easy ∧ stubborn ⇒ gleaming Cannot apply rule “silly ∧ easy ∧ g...
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Facts: Batman is mysterious [PERIOD] Batman is hilarious [PERIOD] Batman is careless [PERIOD] Batman is ugliest [PERIOD] Rules: troubled [AND] mysterious [AND] hilarious [IMPLY] intellectual [PERIOD] frail [AND] troubled [AND] fearless [IMPLY] thoughtless [PERIOD] troubled [IMPLY] mysterious [PERIOD] frail [AND] tende...
Proof chain: careless ⇒ frail hilarious ⇒ troubled Cannot apply rule “frail ∧ troubled ∧ fearless ⇒ thoughtless” because missing: fearless. careless ⇒ frail Cannot apply rule “frail ∧ tender ⇒ thoughtless” because missing: tender. Cannot apply rule “tender ∧ fearless ∧ condemned ⇒ thoughtless” because...
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Facts: Batman is nervous [PERIOD] Rules: proud [AND] frail [IMPLY] clean [PERIOD] foolish [AND] victorious [IMPLY] frantic [PERIOD] wrong [IMPLY] rational [PERIOD] attentive [IMPLY] friendly [PERIOD] nervous [IMPLY] rational [PERIOD] hilarious [AND] friendly [AND] condemned [IMPLY] victorious [PERIOD] wrong [AND] frie...
Proof chain: nervous ⇒ rational rational ⇒ sensible sensible ⇒ frantic nervous ⇒ rational rational ∧ nervous ⇒ friendly nervous ⇒ rational rational ⇒ sensible frantic ∧ friendly ∧ sensible ⇒ hurt
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Facts: Batman is perfect [PERIOD] Batman is tame [PERIOD] Batman is attractive [PERIOD] Batman is good [PERIOD] Batman is impatient [PERIOD] Batman is silly [PERIOD] Rules: fancy [AND] polite [IMPLY] silly [PERIOD] rude [AND] silly [AND] light [IMPLY] wide-eyed [PERIOD] polite [AND] good [AND] unpleasant [IMPLY] aggre...
Proof chain: silly ⇒ fancy perfect ∧ fancy ∧ silly ⇒ light silly ⇒ mysterious silly ⇒ mysterious silly ⇒ fancy mysterious ∧ fancy ⇒ confident attractive ∧ confident ⇒ dishonest light ∧ mysterious ∧ dishonest ⇒ unpleasant
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Facts: Batman is courageous [PERIOD] Batman is thoughtful [PERIOD] Batman is pleasant [PERIOD] Batman is tidy [PERIOD] Batman is gorgeous [PERIOD] Batman is cooperative [PERIOD] Batman is spotless [PERIOD] Batman is dishonest [PERIOD] Rules: busy [IMPLY] wrong [PERIOD] gorgeous [IMPLY] busy [PERIOD] wrong [IMPLY] plea...
Proof chain: tidy ⇒ lonely courageous ∧ lonely ⇒ ugly tidy ⇒ lonely courageous ∧ lonely ⇒ ugly ugly ⇒ fearless fearless ⇒ shy thoughtful ∧ shy ⇒ elegant ugly ∧ elegant ⇒ cruel
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Facts: Batman is lucky [PERIOD] Rules: lucky [AND] dishonest [AND] zealous [IMPLY] bored [PERIOD] innocent [AND] talented [AND] lucky [IMPLY] dishonest [PERIOD] bored [AND] smart [AND] lucky [IMPLY] dishonest [PERIOD] foolish [IMPLY] dishonest [PERIOD] dishonest [AND] talented [AND] foolish [IMPLY] innocent [PERIOD] t...
Proof chain: Cannot apply rule “innocent ∧ talented ∧ lucky ⇒ dishonest” because missing: innocent, talented. Cannot apply rule “bored ∧ smart ∧ lucky ⇒ dishonest” because missing: bored, smart. Cannot apply rule “foolish ⇒ dishonest” because missing: foolish. Cannot apply rule “foolish ∧ bored ∧ weary ⇒ di...
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Facts: Batman is sincere [PERIOD] Batman is powerful [PERIOD] Batman is distinct [PERIOD] Batman is zealous [PERIOD] Batman is gorgeous [PERIOD] Batman is stupid [PERIOD] Rules: diplomatic [AND] gorgeous [IMPLY] difficult [PERIOD] horrible [AND] scared [IMPLY] friendly [PERIOD] bossy [AND] precious [AND] distinct [IMP...
Proof chain: gorgeous ⇒ reserved reserved ⇒ diplomatic gorgeous ⇒ old-fashioned old-fashioned ⇒ scared scared ⇒ gleaming gleaming ⇒ inexpensive powerful ∧ inexpensive ⇒ wide-eyed stupid ∧ diplomatic ∧ wide-eyed ⇒ bossy
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Facts: Batman is hilarious [PERIOD] Batman is shy [PERIOD] Rules: dishonest [AND] shiny [IMPLY] adorable [PERIOD] shy [IMPLY] combative [PERIOD] shiny [AND] friendly [AND] fearless [IMPLY] shy [PERIOD] troubled [AND] different [IMPLY] ugly [PERIOD] shiny [AND] fragile [IMPLY] dishonest [PERIOD] shy [AND] light [AND] h...
Proof chain: shy ⇒ combative hilarious ∧ shy ⇒ fragile fragile ⇒ different combative ∧ hilarious ∧ different ⇒ ugly hilarious ⇒ dishonest ugly ∧ dishonest ⇒ friendly hilarious ⇒ fearless friendly ∧ fearless ∧ hilarious ⇒ adorable
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Facts: Batman is naughty [PERIOD] Rules: aggressive [AND] witty [AND] elated [IMPLY] embarrassed [PERIOD] embarrassed [IMPLY] charming [PERIOD] charming [AND] scared [AND] naughty [IMPLY] aggressive [PERIOD] inexpensive [IMPLY] charming [PERIOD] agreeable [IMPLY] witty [PERIOD] elated [AND] aggressive [IMPLY] embarras...
Proof chain: Cannot apply rule “agreeable ⇒ witty” because missing: agreeable. Cannot apply rule “embarrassed ⇒ witty” because missing: embarrassed. Cannot apply rule “embarrassed ∧ naughty ∧ ugliest ⇒ witty” because missing: embarrassed, ugliest. naughty ⇒ distinct distinct ⇒ elated Cannot apply rule...
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Facts: Rules: disgusted [AND] wandering [AND] busy [IMPLY] disobedient [PERIOD] hurt [IMPLY] crowded [PERIOD] mean [IMPLY] disgusted [PERIOD] disobedient [AND] disgusted [IMPLY] light [PERIOD] mean [AND] hurt [IMPLY] fancy [PERIOD] shy [AND] busy [AND] fearless [IMPLY] friendly [PERIOD] rude [AND] fancy [IMPLY] innoce...
Proof chain: Cannot apply rule “disobedient ∧ disgusted ⇒ light” because missing: disobedient, disgusted. Cannot apply rule “crowded ∧ attractive ∧ muddy ⇒ light” because missing: crowded, attractive, muddy. Cannot apply rule “wandering ⇒ light” because missing: wandering. Cannot apply rule “dull ∧ quaint ⇒...
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