Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is sensible [PERIOD] Batman is courageous [PERIOD] Batman is mysterious [PERIOD] Batman is busy [PERIOD] Rules: popular [IMPLY] glamorous [PERIOD] sensible [AND] embarrassed [IMPLY] glamorous [PERIOD] stormy [AND] courageous [AND] embarrassed [IMPLY] helpless [PERIOD] disobedient [AND] busy [AND] stormy ...
Proof chain: busy ⇒ rational rational ⇒ attentive
1
2
Facts: Batman is horrible [PERIOD] Batman is nervous [PERIOD] Batman is inexpensive [PERIOD] Batman is troubled [PERIOD] Rules: different [AND] troubled [IMPLY] joyous [PERIOD] shiny [AND] lonely [AND] stormy [IMPLY] fearless [PERIOD] precious [AND] thoughtful [IMPLY] nervous [PERIOD] mean [AND] fearless [IMPLY] agree...
Proof chain: Cannot apply rule “shiny ∧ lonely ∧ stormy ⇒ fearless” because missing: shiny, lonely, stormy. Cannot apply rule “stupid ∧ agreeable ⇒ fearless” because missing: stupid, agreeable.
0
2
Facts: Batman is pleasant [PERIOD] Rules: supportive [AND] pleasant [IMPLY] mean [PERIOD] rational [AND] supportive [AND] selfish [IMPLY] stubborn [PERIOD] combative [IMPLY] supportive [PERIOD] gleaming [IMPLY] messy [PERIOD] frail [AND] tidy [AND] stubborn [IMPLY] selfish [PERIOD] sensible [IMPLY] victorious [PERIOD]...
Proof chain: Cannot apply rule “gleaming ⇒ messy” because missing: gleaming. Cannot apply rule “supportive ∧ gleaming ∧ selfish ⇒ messy” because missing: supportive, gleaming, selfish.
0
2
Facts: Rules: sensible [AND] mean [AND] busy [IMPLY] anxious [PERIOD] horrible [IMPLY] thoughtless [PERIOD] thoughtless [IMPLY] busy [PERIOD] anxious [IMPLY] thoughtless [PERIOD] sensible [IMPLY] busy [PERIOD] anxious [IMPLY] busy [PERIOD] anxious [AND] sensible [AND] mean [IMPLY] horrible [PERIOD] thoughtless [AND] s...
Proof chain: Cannot apply rule “horrible ⇒ mean” because missing: horrible. Cannot apply rule “anxious ∧ busy ⇒ mean” because missing: anxious, busy.
0
2
Facts: Batman is busy [PERIOD] Batman is good [PERIOD] Batman is thoughtful [PERIOD] Batman is grumpy [PERIOD] Batman is different [PERIOD] Rules: worried [AND] silly [IMPLY] confident [PERIOD] worried [IMPLY] clumsy [PERIOD] old-fashioned [AND] modern [IMPLY] lucky [PERIOD] precious [AND] frightened [AND] messy [IMPL...
Proof chain: Cannot apply rule “frightened ∧ lucky ∧ silly ⇒ worried” because missing: frightened, lucky, silly. Cannot apply rule “confident ⇒ worried” because missing: confident.
0
2
Facts: Batman is old-fashioned [PERIOD] Batman is adorable [PERIOD] Batman is disobedient [PERIOD] Batman is famous [PERIOD] Batman is bright [PERIOD] Batman is stormy [PERIOD] Rules: frail [IMPLY] old-fashioned [PERIOD] famous [IMPLY] nervous [PERIOD] frail [AND] fearless [IMPLY] bossy [PERIOD] nervous [AND] polite [...
Proof chain: famous ⇒ nervous nervous ⇒ bossy
1
2
Facts: Batman is zealous [PERIOD] Batman is average [PERIOD] Rules: pessimistic [IMPLY] average [PERIOD] pessimistic [AND] smart [IMPLY] average [PERIOD] smart [AND] tender [AND] pessimistic [IMPLY] average [PERIOD] zealous [IMPLY] crowded [PERIOD] pessimistic [AND] average [AND] crowded [IMPLY] zealous [PERIOD] crowd...
Proof chain: zealous ⇒ crowded crowded ⇒ tender
1
2
Facts: Batman is anxious [PERIOD] Rules: condemned [AND] embarrassed [IMPLY] wandering [PERIOD] ugly [IMPLY] wandering [PERIOD] condemned [AND] ugly [IMPLY] disgusted [PERIOD] condemned [AND] embarrassed [AND] gleaming [IMPLY] average [PERIOD] average [IMPLY] anxious [PERIOD] embarrassed [AND] average [IMPLY] anxious ...
Proof chain: anxious ⇒ average average ⇒ wandering
1
2
Facts: Batman is easy [PERIOD] Batman is amused [PERIOD] Batman is witty [PERIOD] Batman is pleasant [PERIOD] Rules: ugly [IMPLY] pleasant [PERIOD] amused [AND] ugly [IMPLY] pleasant [PERIOD] alert [AND] amused [AND] anxious [IMPLY] witty [PERIOD] alert [IMPLY] pleasant [PERIOD] alert [AND] ugly [AND] easy [IMPLY] amu...
Proof chain: pleasant ∧ witty ∧ amused ⇒ anxious amused ∧ pleasant ∧ anxious ⇒ alert
1
2
Facts: Batman is shy [PERIOD] Batman is average [PERIOD] Batman is sleepy [PERIOD] Rules: combative [AND] cooperative [IMPLY] careless [PERIOD] gifted [AND] muddy [IMPLY] beautiful [PERIOD] gifted [AND] outstanding [AND] condemned [IMPLY] perfect [PERIOD] jittery [AND] shy [AND] perfect [IMPLY] outstanding [PERIOD] co...
Proof chain: Cannot apply rule “outstanding ⇒ crowded” because missing: outstanding. Cannot apply rule “glamorous ⇒ crowded” because missing: glamorous.
0
2
Facts: Batman is combative [PERIOD] Batman is frantic [PERIOD] Batman is helpful [PERIOD] Batman is wide-eyed [PERIOD] Batman is fine [PERIOD] Rules: stormy [AND] loving [IMPLY] uptight [PERIOD] fancy [IMPLY] elegant [PERIOD] polite [IMPLY] uptight [PERIOD] loving [IMPLY] confident [PERIOD] worrisome [AND] polite [AND...
Proof chain: frantic ⇒ fancy fancy ⇒ elegant
1
2
Facts: Batman is hilarious [PERIOD] Batman is smart [PERIOD] Batman is stormy [PERIOD] Batman is fine [PERIOD] Batman is old-fashioned [PERIOD] Rules: messy [AND] smart [IMPLY] hilarious [PERIOD] old-fashioned [AND] fine [AND] crowded [IMPLY] alert [PERIOD] stormy [AND] alert [AND] crowded [IMPLY] impatient [PERIOD] f...
Proof chain: old-fashioned ⇒ dishonest stormy ∧ dishonest ⇒ messy
1
2
Facts: Batman is grumpy [PERIOD] Batman is talented [PERIOD] Rules: helpless [IMPLY] straightforward [PERIOD] charming [AND] wide-eyed [AND] hypocritical [IMPLY] attentive [PERIOD] attentive [AND] courageous [IMPLY] grumpy [PERIOD] inquisitive [AND] worrisome [IMPLY] jittery [PERIOD] elated [AND] different [IMPLY] rud...
Proof chain: Cannot apply rule “inquisitive ∧ worrisome ⇒ jittery” because missing: inquisitive, worrisome. Cannot apply rule “hypocritical ⇒ jittery” because missing: hypocritical.
0
2
Facts: Batman is horrible [PERIOD] Batman is talkative [PERIOD] Batman is helpless [PERIOD] Batman is gifted [PERIOD] Batman is attentive [PERIOD] Batman is homely [PERIOD] Batman is quaint [PERIOD] Batman is alert [PERIOD] Batman is good [PERIOD] Rules: stupid [AND] helpless [AND] lonely [IMPLY] muddy [PERIOD] horrib...
Proof chain: homely ∧ helpless ⇒ fine fine ⇒ stupid
1
2
Facts: Batman is popular [PERIOD] Rules: elated [AND] gorgeous [AND] mysterious [IMPLY] dull [PERIOD] enchanting [AND] elated [IMPLY] dull [PERIOD] frightened [IMPLY] popular [PERIOD] mysterious [IMPLY] popular [PERIOD] elated [AND] frantic [IMPLY] weary [PERIOD] frightened [IMPLY] frantic [PERIOD] gorgeous [IMPLY] en...
Proof chain: popular ⇒ frightened frightened ∧ popular ⇒ elated
1
2
Facts: Batman is agreeable [PERIOD] Batman is calm [PERIOD] Batman is tame [PERIOD] Batman is vivacious [PERIOD] Batman is silly [PERIOD] Batman is supportive [PERIOD] Batman is tired [PERIOD] Rules: condemned [IMPLY] tired [PERIOD] supportive [AND] silly [AND] condemned [IMPLY] confused [PERIOD] tame [AND] calm [IMPL...
Proof chain: tame ⇒ inexpensive inexpensive ∧ calm ⇒ enchanting
1
2
Facts: Batman is alert [PERIOD] Batman is powerful [PERIOD] Batman is scared [PERIOD] Batman is famous [PERIOD] Rules: messy [AND] dishonest [AND] pessimistic [IMPLY] talented [PERIOD] straightforward [AND] versatile [IMPLY] scared [PERIOD] talented [IMPLY] clean [PERIOD] tame [AND] bright [AND] famous [IMPLY] cruel [...
Proof chain: scared ⇒ attractive attractive ⇒ crowded
1
2
Facts: Batman is famous [PERIOD] Rules: worried [IMPLY] broad-minded [PERIOD] combative [AND] strange [AND] clumsy [IMPLY] loving [PERIOD] combative [AND] amused [AND] worried [IMPLY] famous [PERIOD] loving [AND] broad-minded [AND] famous [IMPLY] sincere [PERIOD] loving [IMPLY] sincere [PERIOD] sincere [AND] broad-min...
Proof chain: Cannot apply rule “sincere ∧ broad-minded ∧ clumsy ⇒ combative” because missing: sincere, broad-minded, clumsy. Cannot apply rule “sincere ∧ loving ⇒ combative” because missing: sincere, loving.
0
2
Facts: Rules: wrong [AND] plain [AND] light [IMPLY] versatile [PERIOD] plain [IMPLY] wrong [PERIOD] wrong [IMPLY] light [PERIOD] cooperative [IMPLY] plain [PERIOD] cooperative [AND] plain [AND] light [IMPLY] wrong [PERIOD] plain [AND] wrong [AND] cooperative [IMPLY] versatile [PERIOD] Query: Batman is versatile [PERIO...
Proof chain: Cannot apply rule “wrong ∧ plain ∧ light ⇒ versatile” because missing: wrong, plain, light. Cannot apply rule “plain ∧ wrong ∧ cooperative ⇒ versatile” because missing: plain, wrong, cooperative.
0
2
Facts: Batman is confident [PERIOD] Batman is enchanting [PERIOD] Batman is condemned [PERIOD] Batman is naughty [PERIOD] Batman is fancy [PERIOD] Batman is vivacious [PERIOD] Batman is inquisitive [PERIOD] Batman is stubborn [PERIOD] Batman is lucky [PERIOD] Batman is bright [PERIOD] Batman is tired [PERIOD] Rules: i...
Proof chain: bright ⇒ different Cannot apply rule “serious ∧ precious ∧ different ⇒ gorgeous” because missing: serious, precious.
0
2
Facts: Batman is worrisome [PERIOD] Batman is fine [PERIOD] Batman is muddy [PERIOD] Batman is foolish [PERIOD] Batman is strange [PERIOD] Batman is mysterious [PERIOD] Rules: embarrassed [IMPLY] mysterious [PERIOD] confused [IMPLY] mysterious [PERIOD] average [AND] perfect [AND] versatile [IMPLY] outrageous [PERIOD] ...
Proof chain: mysterious ⇒ talkative talkative ⇒ homely
1
2
Facts: Batman is stupid [PERIOD] Batman is talented [PERIOD] Batman is calm [PERIOD] Batman is modern [PERIOD] Batman is courageous [PERIOD] Rules: courageous [AND] foolish [AND] fancy [IMPLY] embarrassed [PERIOD] inquisitive [IMPLY] embarrassed [PERIOD] attractive [IMPLY] careless [PERIOD] attractive [AND] calm [AND]...
Proof chain: modern ∧ stupid ⇒ attractive attractive ⇒ careless
1
2
Facts: Batman is careless [PERIOD] Batman is exuberant [PERIOD] Batman is muddy [PERIOD] Batman is mean [PERIOD] Batman is light [PERIOD] Batman is alert [PERIOD] Batman is shiny [PERIOD] Batman is witty [PERIOD] Batman is reserved [PERIOD] Batman is glamorous [PERIOD] Batman is disobedient [PERIOD] Batman is worrisom...
Proof chain: alert ∧ glamorous ⇒ average alert ∧ reserved ∧ average ⇒ talented
1
2
Facts: Rules: stormy [AND] busy [IMPLY] hilarious [PERIOD] sincere [AND] hilarious [AND] stormy [IMPLY] attentive [PERIOD] stormy [AND] attentive [IMPLY] hilarious [PERIOD] stormy [AND] hilarious [IMPLY] sincere [PERIOD] attentive [IMPLY] busy [PERIOD] attentive [AND] busy [AND] sincere [IMPLY] stormy [PERIOD] sincere...
Proof chain: Cannot apply rule “stormy ∧ busy ⇒ hilarious” because missing: stormy, busy. Cannot apply rule “stormy ∧ attentive ⇒ hilarious” because missing: stormy, attentive.
0
2
Facts: Batman is wandering [PERIOD] Batman is blushing [PERIOD] Batman is bright [PERIOD] Batman is smart [PERIOD] Batman is cooperative [PERIOD] Rules: smart [IMPLY] supportive [PERIOD] bright [IMPLY] good [PERIOD] bright [AND] good [IMPLY] ugliest [PERIOD] good [AND] smart [IMPLY] ugliest [PERIOD] smart [IMPLY] brig...
Proof chain: blushing ⇒ good bright ∧ good ⇒ ugliest
1
2
Facts: Batman is tired [PERIOD] Batman is uptight [PERIOD] Batman is crowded [PERIOD] Batman is silly [PERIOD] Batman is naughty [PERIOD] Batman is modern [PERIOD] Batman is comfortable [PERIOD] Batman is old-fashioned [PERIOD] Batman is gifted [PERIOD] Batman is famous [PERIOD] Batman is witty [PERIOD] Batman is exub...
Proof chain: comfortable ⇒ popular gifted ∧ popular ∧ modern ⇒ quaint
1
2
Facts: Batman is selfish [PERIOD] Batman is courageous [PERIOD] Batman is tidy [PERIOD] Rules: rational [AND] cute [IMPLY] inexpensive [PERIOD] cute [AND] rational [IMPLY] curious [PERIOD] inexpensive [AND] courageous [IMPLY] curious [PERIOD] courageous [IMPLY] rational [PERIOD] courageous [AND] rational [IMPLY] inexp...
Proof chain: courageous ⇒ rational rational ∧ tidy ⇒ cute
1
2
Facts: Batman is scared [PERIOD] Batman is wandering [PERIOD] Batman is bossy [PERIOD] Batman is loving [PERIOD] Batman is strange [PERIOD] Batman is enchanting [PERIOD] Batman is busy [PERIOD] Batman is hilarious [PERIOD] Batman is lucky [PERIOD] Batman is different [PERIOD] Batman is supportive [PERIOD] Batman is ug...
Proof chain: Cannot apply rule “cute ∧ outrageous ∧ enchanting ⇒ tense” because missing: cute, outrageous. Cannot apply rule “blushing ⇒ tense” because missing: blushing.
0
2
Facts: Batman is light [PERIOD] Batman is combative [PERIOD] Rules: dull [AND] bored [AND] light [IMPLY] impatient [PERIOD] shy [AND] light [AND] victorious [IMPLY] anxious [PERIOD] talkative [IMPLY] dull [PERIOD] combative [AND] busy [IMPLY] impatient [PERIOD] anxious [IMPLY] victorious [PERIOD] busy [IMPLY] combativ...
Proof chain: light ⇒ shy shy ⇒ dull
1
2
Facts: Rules: amused [IMPLY] stormy [PERIOD] courageous [AND] tired [IMPLY] stormy [PERIOD] curious [AND] stormy [AND] alert [IMPLY] elegant [PERIOD] bossy [AND] elegant [AND] agreeable [IMPLY] selfish [PERIOD] plain [IMPLY] alert [PERIOD] courageous [AND] cooperative [IMPLY] talkative [PERIOD] amused [AND] stormy [AN...
Proof chain: Cannot apply rule “tired ∧ versatile ∧ disgusted ⇒ combative” because missing: tired, versatile, disgusted. Cannot apply rule “excited ∧ curious ∧ supportive ⇒ combative” because missing: excited, curious, supportive.
0
2
Facts: Rules: uptight [AND] cooperative [IMPLY] zealous [PERIOD] comfortable [AND] uptight [IMPLY] fragile [PERIOD] fragile [AND] cooperative [AND] witty [IMPLY] lucky [PERIOD] comfortable [IMPLY] lucky [PERIOD] cooperative [AND] worried [IMPLY] lucky [PERIOD] fragile [AND] witty [AND] worried [IMPLY] zealous [PERIOD]...
Proof chain: Cannot apply rule “fragile ∧ witty ∧ lucky ⇒ uptight” because missing: fragile, witty, lucky. Cannot apply rule “worried ∧ witty ∧ comfortable ⇒ uptight” because missing: worried, witty, comfortable.
0
2
Facts: Batman is average [PERIOD] Rules: worrisome [AND] strange [AND] stormy [IMPLY] wrong [PERIOD] wrong [AND] strange [AND] lucky [IMPLY] talented [PERIOD] mysterious [AND] average [AND] stormy [IMPLY] elegant [PERIOD] elegant [AND] lucky [IMPLY] strange [PERIOD] mysterious [AND] talented [IMPLY] stormy [PERIOD] av...
Proof chain: Cannot apply rule “elegant ∧ lucky ⇒ strange” because missing: elegant, lucky. Cannot apply rule “wrong ∧ worrisome ∧ elegant ⇒ strange” because missing: wrong, worrisome, elegant.
0
2
Facts: Batman is mysterious [PERIOD] Batman is strange [PERIOD] Batman is amused [PERIOD] Batman is plain [PERIOD] Batman is wide-eyed [PERIOD] Batman is hypocritical [PERIOD] Rules: calm [IMPLY] strange [PERIOD] blushing [IMPLY] plain [PERIOD] fine [AND] calm [IMPLY] clean [PERIOD] light [AND] clean [IMPLY] joyous [P...
Proof chain: plain ⇒ clean clean ∧ wide-eyed ⇒ confused
1
2
Facts: Rules: impartial [AND] embarrassed [IMPLY] tired [PERIOD] outstanding [IMPLY] witty [PERIOD] amused [AND] witty [IMPLY] tired [PERIOD] fragile [AND] popular [IMPLY] impartial [PERIOD] outstanding [AND] embarrassed [AND] wandering [IMPLY] mean [PERIOD] wandering [IMPLY] witty [PERIOD] fragile [AND] outstanding [...
Proof chain: Cannot apply rule “different ∧ naughty ⇒ outstanding” because missing: different, naughty. Cannot apply rule “condemned ⇒ outstanding” because missing: condemned.
0
2
Facts: Batman is mean [PERIOD] Batman is supportive [PERIOD] Batman is nervous [PERIOD] Batman is broad-minded [PERIOD] Batman is selfish [PERIOD] Batman is easy [PERIOD] Batman is blushing [PERIOD] Batman is charming [PERIOD] Rules: inquisitive [IMPLY] easy [PERIOD] innocent [AND] mean [IMPLY] wide-eyed [PERIOD] char...
Proof chain: broad-minded ⇒ fearless fearless ∧ supportive ⇒ rude
1
2
Facts: Batman is fearless [PERIOD] Batman is impartial [PERIOD] Batman is homely [PERIOD] Batman is uptight [PERIOD] Batman is stupid [PERIOD] Batman is selfish [PERIOD] Batman is muddy [PERIOD] Rules: exuberant [AND] witty [IMPLY] tense [PERIOD] unpleasant [AND] witty [AND] tense [IMPLY] fearless [PERIOD] tired [IMPL...
Proof chain: stupid ⇒ jittery jittery ⇒ friendly
1
2
Facts: Batman is muddy [PERIOD] Batman is tense [PERIOD] Batman is helpful [PERIOD] Batman is frightened [PERIOD] Batman is enchanting [PERIOD] Batman is naughty [PERIOD] Rules: enchanting [IMPLY] alert [PERIOD] helpful [AND] tense [IMPLY] naughty [PERIOD] tense [AND] naughty [AND] stubborn [IMPLY] alert [PERIOD] sinc...
Proof chain: enchanting ⇒ alert alert ∧ naughty ∧ tense ⇒ sincere
1
2
Facts: Batman is rude [PERIOD] Batman is impartial [PERIOD] Batman is frail [PERIOD] Batman is inquisitive [PERIOD] Rules: impartial [IMPLY] jittery [PERIOD] thoughtless [AND] confident [IMPLY] rude [PERIOD] impartial [AND] thoughtless [IMPLY] rational [PERIOD] thoughtless [IMPLY] rude [PERIOD] inquisitive [AND] ratio...
Proof chain: frail ⇒ adorable rude ∧ adorable ⇒ shiny
1
2
Facts: Batman is cruel [PERIOD] Batman is curious [PERIOD] Batman is worrisome [PERIOD] Batman is muddy [PERIOD] Batman is troubled [PERIOD] Batman is clumsy [PERIOD] Rules: troubled [AND] powerful [AND] ambitious [IMPLY] quaint [PERIOD] cruel [AND] disgusted [IMPLY] powerful [PERIOD] rude [IMPLY] polite [PERIOD] supp...
Proof chain: curious ∧ cruel ∧ muddy ⇒ powerful powerful ⇒ polite
1
2
Facts: Batman is bossy [PERIOD] Batman is agreeable [PERIOD] Batman is pleasant [PERIOD] Batman is condemned [PERIOD] Batman is thoughtless [PERIOD] Batman is supportive [PERIOD] Rules: condemned [IMPLY] confident [PERIOD] outstanding [AND] pleasant [AND] cute [IMPLY] nervous [PERIOD] supportive [AND] condemned [IMPLY...
Proof chain: condemned ⇒ nervous thoughtless ∧ condemned ∧ nervous ⇒ cute
1
2
Facts: Batman is embarrassed [PERIOD] Batman is precious [PERIOD] Batman is tidy [PERIOD] Batman is diplomatic [PERIOD] Rules: attentive [AND] talkative [AND] embarrassed [IMPLY] tidy [PERIOD] sensible [IMPLY] combative [PERIOD] tidy [AND] talkative [IMPLY] hurt [PERIOD] tidy [IMPLY] embarrassed [PERIOD] attentive [AN...
Proof chain: Cannot apply rule “diplomatic ∧ attentive ∧ tidy ⇒ sensible” because missing: attentive. Cannot apply rule “combative ∧ tidy ∧ precious ⇒ sensible” because missing: combative.
0
2
Facts: Batman is bossy [PERIOD] Batman is hurt [PERIOD] Batman is lucky [PERIOD] Batman is enchanting [PERIOD] Batman is comfortable [PERIOD] Batman is hilarious [PERIOD] Batman is alert [PERIOD] Rules: popular [AND] worrisome [IMPLY] enchanting [PERIOD] hilarious [AND] hurt [IMPLY] popular [PERIOD] bossy [IMPLY] glam...
Proof chain: bossy ⇒ glamorous Cannot apply rule “precious ∧ glamorous ⇒ stupid” because missing: precious.
0
2
Facts: Rules: attentive [AND] talented [AND] calm [IMPLY] embarrassed [PERIOD] glamorous [IMPLY] zealous [PERIOD] busy [AND] jittery [AND] attentive [IMPLY] horrible [PERIOD] attentive [AND] condemned [IMPLY] agreeable [PERIOD] curious [AND] straightforward [AND] jittery [IMPLY] average [PERIOD] agreeable [IMPLY] long...
Proof chain: Cannot apply rule “disgusted ∧ modern ⇒ inexpensive” because missing: disgusted, modern. Cannot apply rule “condemned ∧ sleepy ⇒ inexpensive” because missing: condemned, sleepy.
0
2
Facts: Batman is disgusted [PERIOD] Rules: joyous [IMPLY] anxious [PERIOD] tired [IMPLY] joyous [PERIOD] helpful [AND] agreeable [IMPLY] muddy [PERIOD] agreeable [AND] helpful [AND] exuberant [IMPLY] anxious [PERIOD] agreeable [AND] bad-tempered [AND] reserved [IMPLY] helpful [PERIOD] muddy [AND] tired [AND] fragile [...
Proof chain: Cannot apply rule “helpful ⇒ reserved” because missing: helpful. Cannot apply rule “helpful ∧ muddy ∧ bad-tempered ⇒ reserved” because missing: helpful, muddy, bad-tempered.
0
2
Facts: Batman is rational [PERIOD] Batman is cooperative [PERIOD] Rules: wrong [AND] elegant [IMPLY] rational [PERIOD] alert [IMPLY] cooperative [PERIOD] alert [AND] rational [IMPLY] wrong [PERIOD] wrong [AND] elegant [IMPLY] cooperative [PERIOD] alert [IMPLY] wrong [PERIOD] Query: Batman is wrong [PERIOD]
Proof chain: Cannot apply rule “alert ∧ rational ⇒ wrong” because missing: alert. Cannot apply rule “alert ⇒ wrong” because missing: alert.
0
2
Facts: Batman is average [PERIOD] Rules: stormy [AND] cooperative [AND] famous [IMPLY] ugliest [PERIOD] stormy [AND] joyous [IMPLY] impartial [PERIOD] average [AND] famous [IMPLY] stormy [PERIOD] joyous [IMPLY] glamorous [PERIOD] frail [IMPLY] glamorous [PERIOD] joyous [IMPLY] tender [PERIOD] famous [IMPLY] impartial ...
Proof chain: Cannot apply rule “stormy ∧ joyous ⇒ impartial” because missing: stormy, joyous. Cannot apply rule “famous ⇒ impartial” because missing: famous.
0
2
Facts: Batman is adorable [PERIOD] Batman is messy [PERIOD] Rules: glamorous [IMPLY] beautiful [PERIOD] beautiful [IMPLY] adorable [PERIOD] curious [AND] polite [AND] glamorous [IMPLY] messy [PERIOD] curious [AND] messy [AND] condemned [IMPLY] glamorous [PERIOD] adorable [AND] grumpy [IMPLY] beautiful [PERIOD] lucky [...
Proof chain: adorable ⇒ bossy bossy ⇒ wrong
1
2
Facts: Batman is tense [PERIOD] Batman is crowded [PERIOD] Batman is different [PERIOD] Batman is elated [PERIOD] Batman is broad-minded [PERIOD] Batman is courageous [PERIOD] Batman is comfortable [PERIOD] Batman is reserved [PERIOD] Batman is wandering [PERIOD] Batman is popular [PERIOD] Batman is wrong [PERIOD] Bat...
Proof chain: elated ⇒ gleaming gleaming ⇒ horrible
1
2
Facts: Batman is intellectual [PERIOD] Batman is reserved [PERIOD] Batman is comfortable [PERIOD] Rules: quaint [AND] gleaming [AND] victorious [IMPLY] calm [PERIOD] intellectual [AND] careless [IMPLY] comfortable [PERIOD] frail [AND] uptight [IMPLY] stubborn [PERIOD] victorious [IMPLY] stubborn [PERIOD] cooperative [...
Proof chain: comfortable ∧ reserved ⇒ stubborn stubborn ⇒ uptight
1
2
Facts: Rules: versatile [IMPLY] fine [PERIOD] gleaming [AND] shy [AND] courageous [IMPLY] fine [PERIOD] bored [AND] distinct [IMPLY] outrageous [PERIOD] difficult [AND] gleaming [IMPLY] versatile [PERIOD] talented [IMPLY] confident [PERIOD] bored [IMPLY] versatile [PERIOD] shy [AND] stormy [IMPLY] talented [PERIOD] bo...
Proof chain: Cannot apply rule “fine ∧ bored ⇒ shy” because missing: fine, bored. Cannot apply rule “talented ∧ difficult ⇒ shy” because missing: talented, difficult.
0
2
Facts: Batman is rational [PERIOD] Batman is wandering [PERIOD] Batman is homely [PERIOD] Batman is anxious [PERIOD] Batman is elated [PERIOD] Batman is charming [PERIOD] Batman is tired [PERIOD] Batman is combative [PERIOD] Batman is careless [PERIOD] Rules: rational [AND] gifted [IMPLY] zealous [PERIOD] tired [AND] ...
Proof chain: combative ∧ charming ⇒ gifted rational ∧ gifted ⇒ zealous
1
2
Facts: Batman is clean [PERIOD] Rules: fancy [IMPLY] fearless [PERIOD] fine [AND] aggressive [AND] sincere [IMPLY] fancy [PERIOD] clean [AND] sincere [IMPLY] fearless [PERIOD] fine [AND] clean [IMPLY] sincere [PERIOD] clean [AND] sincere [AND] fancy [IMPLY] fine [PERIOD] sincere [AND] clean [IMPLY] fine [PERIOD] fearl...
Proof chain: Cannot apply rule “fine ∧ aggressive ∧ sincere ⇒ fancy” because missing: fine, aggressive, sincere. Cannot apply rule “clean ∧ fine ⇒ fancy” because missing: fine.
0
2
Facts: Batman is tame [PERIOD] Batman is jittery [PERIOD] Batman is tidy [PERIOD] Batman is fancy [PERIOD] Batman is stupid [PERIOD] Batman is selfish [PERIOD] Batman is clean [PERIOD] Batman is pleasant [PERIOD] Batman is smart [PERIOD] Batman is calm [PERIOD] Batman is sleepy [PERIOD] Batman is scared [PERIOD] Rules...
Proof chain: scared ⇒ cooperative cooperative ⇒ wandering
1
2
Facts: Batman is inquisitive [PERIOD] Batman is excited [PERIOD] Batman is helpful [PERIOD] Batman is mean [PERIOD] Batman is worrisome [PERIOD] Rules: condemned [IMPLY] victorious [PERIOD] frightened [AND] mean [IMPLY] cute [PERIOD] average [IMPLY] worrisome [PERIOD] outstanding [IMPLY] lucky [PERIOD] tired [AND] hil...
Proof chain: Cannot apply rule “outstanding ⇒ lucky” because missing: outstanding. Cannot apply rule “nervous ⇒ lucky” because missing: nervous.
0
2
Facts: Batman is smart [PERIOD] Batman is impartial [PERIOD] Batman is calm [PERIOD] Batman is muddy [PERIOD] Batman is powerful [PERIOD] Rules: muddy [AND] shy [IMPLY] calm [PERIOD] impartial [IMPLY] smart [PERIOD] impartial [AND] thoughtful [AND] calm [IMPLY] powerful [PERIOD] muddy [IMPLY] powerful [PERIOD] thought...
Proof chain: powerful ⇒ thoughtful powerful ∧ impartial ∧ thoughtful ⇒ shy
1
2
Facts: Batman is naughty [PERIOD] Batman is helpless [PERIOD] Rules: vivacious [AND] quaint [IMPLY] dishonest [PERIOD] weary [AND] straightforward [IMPLY] rude [PERIOD] straightforward [IMPLY] innocent [PERIOD] foolish [AND] pleasant [AND] helpless [IMPLY] worried [PERIOD] rude [IMPLY] vivacious [PERIOD] pleasant [IMP...
Proof chain: Cannot apply rule “grumpy ∧ vivacious ∧ straightforward ⇒ elegant” because missing: grumpy, vivacious, straightforward. Cannot apply rule “gleaming ∧ innocent ∧ charming ⇒ elegant” because missing: gleaming, innocent, charming.
0
2
Facts: Batman is hilarious [PERIOD] Batman is selfish [PERIOD] Batman is inquisitive [PERIOD] Batman is combative [PERIOD] Batman is fearless [PERIOD] Rules: elegant [IMPLY] inquisitive [PERIOD] elegant [AND] zealous [AND] bright [IMPLY] fearless [PERIOD] zealous [AND] combative [IMPLY] homely [PERIOD] fearless [AND] ...
Proof chain: hilarious ∧ selfish ∧ fearless ⇒ ugliest ugliest ⇒ zealous
1
2
Facts: Batman is selfish [PERIOD] Batman is uptight [PERIOD] Batman is crowded [PERIOD] Batman is elegant [PERIOD] Batman is stupid [PERIOD] Batman is clumsy [PERIOD] Batman is agreeable [PERIOD] Batman is broad-minded [PERIOD] Batman is comfortable [PERIOD] Batman is tidy [PERIOD] Rules: stupid [AND] elegant [IMPLY] ...
Proof chain: selfish ∧ broad-minded ⇒ adorable adorable ∧ crowded ∧ stupid ⇒ stormy
1
2
Facts: Batman is rude [PERIOD] Batman is diplomatic [PERIOD] Batman is sensible [PERIOD] Batman is grumpy [PERIOD] Batman is cute [PERIOD] Batman is hypocritical [PERIOD] Batman is busy [PERIOD] Batman is light [PERIOD] Batman is fragile [PERIOD] Batman is tense [PERIOD] Batman is perfect [PERIOD] Batman is amused [PE...
Proof chain: perfect ∧ comfortable ⇒ precious precious ⇒ confident
1
2
Facts: Batman is horrible [PERIOD] Batman is frail [PERIOD] Rules: frail [IMPLY] horrible [PERIOD] horrible [AND] fine [IMPLY] frail [PERIOD] broad-minded [AND] scared [AND] horrible [IMPLY] fine [PERIOD] fine [IMPLY] horrible [PERIOD] fine [AND] frail [AND] broad-minded [IMPLY] horrible [PERIOD] horrible [AND] fine [...
Proof chain: Cannot apply rule “horrible ∧ broad-minded ∧ fine ⇒ scared” because missing: broad-minded, fine. Cannot apply rule “fine ∧ broad-minded ∧ frail ⇒ scared” because missing: fine, broad-minded.
0
2
Facts: Rules: agreeable [AND] zealous [AND] excited [IMPLY] frail [PERIOD] agreeable [AND] excited [IMPLY] frail [PERIOD] agreeable [AND] frail [AND] zealous [IMPLY] excited [PERIOD] helpless [AND] frail [AND] agreeable [IMPLY] excited [PERIOD] agreeable [AND] excited [AND] zealous [IMPLY] helpless [PERIOD] agreeable ...
Proof chain: Cannot apply rule “agreeable ∧ excited ∧ zealous ⇒ helpless” because missing: agreeable, excited, zealous. Cannot apply rule “zealous ∧ agreeable ⇒ helpless” because missing: zealous, agreeable.
0
2
Facts: Rules: famous [IMPLY] foolish [PERIOD] fancy [AND] spotless [AND] frantic [IMPLY] calm [PERIOD] broad-minded [AND] elegant [AND] clumsy [IMPLY] tidy [PERIOD] disobedient [IMPLY] victorious [PERIOD] bad-tempered [AND] elegant [IMPLY] clumsy [PERIOD] wandering [AND] hurt [IMPLY] disobedient [PERIOD] disgusted [AN...
Proof chain: Cannot apply rule “wandering ∧ disobedient ⇒ disgusted” because missing: wandering, disobedient. Cannot apply rule “witty ∧ wandering ∧ messy ⇒ disgusted” because missing: witty, wandering, messy.
0
2
Facts: Batman is elated [PERIOD] Rules: impatient [AND] elegant [IMPLY] perfect [PERIOD] polite [AND] fragile [IMPLY] wide-eyed [PERIOD] pleasant [IMPLY] blushing [PERIOD] perfect [IMPLY] vivacious [PERIOD] good [AND] elated [AND] wide-eyed [IMPLY] vivacious [PERIOD] fragile [AND] ugliest [IMPLY] pleasant [PERIOD] viv...
Proof chain: Cannot apply rule “ugliest ⇒ fragile” because missing: ugliest. Cannot apply rule “good ∧ elated ∧ long ⇒ fragile” because missing: good, long.
0
2
Facts: Rules: condemned [IMPLY] thoughtful [PERIOD] outrageous [AND] condemned [IMPLY] selfish [PERIOD] outrageous [IMPLY] selfish [PERIOD] selfish [AND] condemned [AND] outrageous [IMPLY] pleasant [PERIOD] selfish [AND] condemned [AND] thoughtful [IMPLY] outrageous [PERIOD] condemned [IMPLY] outrageous [PERIOD] pleas...
Proof chain: Cannot apply rule “selfish ∧ condemned ∧ thoughtful ⇒ outrageous” because missing: selfish, condemned, thoughtful. Cannot apply rule “condemned ⇒ outrageous” because missing: condemned.
0
2
Facts: Batman is ugliest [PERIOD] Batman is versatile [PERIOD] Rules: dull [IMPLY] cute [PERIOD] comfortable [IMPLY] cute [PERIOD] comfortable [AND] dull [IMPLY] straightforward [PERIOD] distinct [AND] ugliest [IMPLY] comfortable [PERIOD] versatile [IMPLY] cute [PERIOD] grumpy [AND] comfortable [IMPLY] dull [PERIOD] d...
Proof chain: Cannot apply rule “distinct ∧ ugliest ⇒ comfortable” because missing: distinct. Cannot apply rule “versatile ∧ dull ⇒ comfortable” because missing: dull.
0
2
Facts: Rules: condemned [IMPLY] fine [PERIOD] ugly [IMPLY] fine [PERIOD] muddy [AND] ugly [AND] plain [IMPLY] spotless [PERIOD] mysterious [AND] fine [AND] unpleasant [IMPLY] easy [PERIOD] mysterious [AND] plain [AND] spotless [IMPLY] unpleasant [PERIOD] fine [AND] unpleasant [IMPLY] muddy [PERIOD] quaint [IMPLY] cond...
Proof chain: Cannot apply rule “condemned ⇒ quaint” because missing: condemned. Cannot apply rule “distinct ∧ muddy ⇒ quaint” because missing: distinct, muddy.
0
2
Facts: Batman is excited [PERIOD] Batman is troubled [PERIOD] Batman is horrible [PERIOD] Rules: helpless [IMPLY] troubled [PERIOD] stupid [AND] hilarious [AND] bad-tempered [IMPLY] troubled [PERIOD] troubled [IMPLY] proud [PERIOD] foolish [IMPLY] muddy [PERIOD] muddy [AND] cooperative [IMPLY] talented [PERIOD] sensib...
Proof chain: troubled ⇒ proud proud ⇒ hilarious
1
2
Facts: Rules: confident [AND] charming [AND] distinct [IMPLY] bored [PERIOD] long [IMPLY] cruel [PERIOD] distinct [AND] long [AND] bored [IMPLY] charming [PERIOD] charming [IMPLY] cruel [PERIOD] cruel [IMPLY] talkative [PERIOD] distinct [AND] talkative [AND] cruel [IMPLY] old-fashioned [PERIOD] bored [AND] confident [...
Proof chain: Cannot apply rule “bored ∧ confident ∧ talkative ⇒ distinct” because missing: bored, confident, talkative. Cannot apply rule “long ⇒ distinct” because missing: long.
0
2
Facts: Batman is cute [PERIOD] Batman is combative [PERIOD] Batman is thoughtless [PERIOD] Rules: tense [AND] bossy [AND] uptight [IMPLY] combative [PERIOD] difficult [AND] combative [AND] bossy [IMPLY] uptight [PERIOD] tense [AND] bossy [AND] clean [IMPLY] stubborn [PERIOD] stubborn [AND] combative [AND] difficult [I...
Proof chain: Cannot apply rule “cute ∧ clean ⇒ bossy” because missing: clean. Cannot apply rule “combative ∧ cute ∧ stubborn ⇒ bossy” because missing: stubborn.
0
2
Facts: Batman is adorable [PERIOD] Batman is unpleasant [PERIOD] Rules: cute [AND] curious [AND] selfish [IMPLY] versatile [PERIOD] unpleasant [AND] selfish [IMPLY] cute [PERIOD] curious [IMPLY] versatile [PERIOD] cute [AND] diplomatic [AND] curious [IMPLY] unpleasant [PERIOD] versatile [AND] curious [IMPLY] diplomati...
Proof chain: unpleasant ⇒ selfish unpleasant ∧ selfish ⇒ cute
1
2
Facts: Rules: wide-eyed [AND] exuberant [IMPLY] fancy [PERIOD] confident [AND] pessimistic [AND] vivacious [IMPLY] versatile [PERIOD] elegant [IMPLY] enchanting [PERIOD] naughty [IMPLY] disobedient [PERIOD] versatile [AND] blushing [IMPLY] elegant [PERIOD] anxious [AND] disobedient [AND] fancy [IMPLY] silly [PERIOD] w...
Proof chain: Cannot apply rule “pessimistic ∧ fancy ⇒ inquisitive” because missing: pessimistic, fancy. Cannot apply rule “confused ⇒ inquisitive” because missing: confused.
0
2
Facts: Batman is gleaming [PERIOD] Batman is ugly [PERIOD] Rules: clumsy [IMPLY] friendly [PERIOD] outstanding [AND] muddy [AND] ugly [IMPLY] clumsy [PERIOD] thoughtless [AND] dull [AND] gleaming [IMPLY] exuberant [PERIOD] thoughtless [AND] ugly [AND] proud [IMPLY] muddy [PERIOD] thoughtless [AND] outstanding [IMPLY] ...
Proof chain: Cannot apply rule “ugly ∧ clumsy ∧ aggressive ⇒ amused” because missing: clumsy, aggressive. Cannot apply rule “attentive ⇒ amused” because missing: attentive.
0
2
Facts: Batman is distinct [PERIOD] Batman is bossy [PERIOD] Rules: foolish [IMPLY] helpful [PERIOD] naughty [IMPLY] pleasant [PERIOD] elegant [AND] broad-minded [IMPLY] foolish [PERIOD] bossy [AND] naughty [AND] blushing [IMPLY] foolish [PERIOD] stupid [IMPLY] naughty [PERIOD] stupid [AND] vivacious [IMPLY] pleasant [...
Proof chain: distinct ⇒ stupid stupid ⇒ naughty
1
2
Facts: Batman is confused [PERIOD] Batman is alert [PERIOD] Batman is old-fashioned [PERIOD] Rules: crowded [IMPLY] confident [PERIOD] alert [IMPLY] charming [PERIOD] aggressive [AND] confident [AND] foolish [IMPLY] alert [PERIOD] aggressive [AND] muddy [IMPLY] confused [PERIOD] charming [IMPLY] fine [PERIOD] fine [IM...
Proof chain: alert ⇒ charming charming ⇒ fine
1
2
Facts: Batman is clean [PERIOD] Batman is curious [PERIOD] Rules: wide-eyed [AND] distinct [AND] silly [IMPLY] diplomatic [PERIOD] thoughtful [IMPLY] confused [PERIOD] hypocritical [IMPLY] selfish [PERIOD] thoughtful [IMPLY] curious [PERIOD] amused [AND] calm [AND] silly [IMPLY] ambitious [PERIOD] ugly [AND] distinct ...
Proof chain: Cannot apply rule “confused ∧ fearless ∧ distinct ⇒ silly” because missing: confused, fearless, distinct. Cannot apply rule “selfish ∧ broad-minded ∧ stupid ⇒ silly” because missing: selfish, broad-minded, stupid.
0
2
Facts: Batman is frightened [PERIOD] Rules: nervous [AND] witty [AND] inexpensive [IMPLY] popular [PERIOD] confident [IMPLY] old-fashioned [PERIOD] embarrassed [AND] frightened [AND] confident [IMPLY] light [PERIOD] dull [AND] confident [AND] clean [IMPLY] light [PERIOD] talented [AND] proud [IMPLY] embarrassed [PERIO...
Proof chain: Cannot apply rule “calm ⇒ thoughtful” because missing: calm. Cannot apply rule “clean ∧ confident ∧ elegant ⇒ thoughtful” because missing: clean, confident, elegant.
0
2
Facts: Batman is light [PERIOD] Rules: attractive [AND] pessimistic [AND] straightforward [IMPLY] polite [PERIOD] attractive [AND] condemned [AND] grumpy [IMPLY] vivacious [PERIOD] shiny [AND] confident [IMPLY] light [PERIOD] shiny [AND] inexpensive [IMPLY] straightforward [PERIOD] fragile [AND] grumpy [AND] shiny [IM...
Proof chain: Cannot apply rule “shiny ∧ inexpensive ⇒ straightforward” because missing: shiny, inexpensive. Cannot apply rule “polite ∧ inexpensive ⇒ straightforward” because missing: polite, inexpensive.
0
2
Facts: Batman is impartial [PERIOD] Rules: impartial [IMPLY] frantic [PERIOD] rude [AND] easy [AND] outrageous [IMPLY] frantic [PERIOD] easy [AND] lonely [IMPLY] outrageous [PERIOD] supportive [AND] frantic [AND] lonely [IMPLY] easy [PERIOD] rude [AND] outrageous [IMPLY] vivacious [PERIOD] supportive [AND] easy [IMPLY...
Proof chain: impartial ⇒ rude Cannot apply rule “rude ∧ outrageous ⇒ vivacious” because missing: outrageous.
0
2
Facts: Batman is wide-eyed [PERIOD] Batman is fine [PERIOD] Batman is comfortable [PERIOD] Batman is sincere [PERIOD] Batman is proud [PERIOD] Batman is cooperative [PERIOD] Batman is inquisitive [PERIOD] Rules: distinct [AND] wide-eyed [AND] victorious [IMPLY] smart [PERIOD] supportive [AND] comfortable [AND] helpful...
Proof chain: proud ⇒ victorious Cannot apply rule “distinct ∧ wide-eyed ∧ victorious ⇒ smart” because missing: distinct.
0
2
Facts: Batman is grumpy [PERIOD] Batman is tidy [PERIOD] Batman is ugly [PERIOD] Batman is disobedient [PERIOD] Rules: attractive [AND] old-fashioned [IMPLY] disobedient [PERIOD] ambitious [AND] crowded [IMPLY] ugly [PERIOD] crowded [AND] disobedient [AND] attractive [IMPLY] grumpy [PERIOD] tidy [IMPLY] tense [PERIOD]...
Proof chain: ugly ⇒ old-fashioned old-fashioned ⇒ broad-minded
1
2
Facts: Batman is victorious [PERIOD] Batman is worrisome [PERIOD] Batman is excited [PERIOD] Batman is friendly [PERIOD] Rules: average [AND] elegant [AND] tidy [IMPLY] impatient [PERIOD] friendly [AND] victorious [AND] easy [IMPLY] confident [PERIOD] confident [IMPLY] tidy [PERIOD] easy [AND] tense [AND] gleaming [IM...
Proof chain: victorious ⇒ good good ∧ victorious ⇒ fragile
1
2
Facts: Batman is confident [PERIOD] Rules: excited [AND] selfish [IMPLY] crowded [PERIOD] confident [IMPLY] good [PERIOD] good [AND] crowded [AND] worried [IMPLY] selfish [PERIOD] excited [AND] crowded [IMPLY] loving [PERIOD] excited [IMPLY] good [PERIOD] loving [IMPLY] good [PERIOD] good [IMPLY] crowded [PERIOD] lovi...
Proof chain: confident ⇒ good good ⇒ crowded
1
2
Facts: Batman is worried [PERIOD] Batman is disgusted [PERIOD] Batman is smart [PERIOD] Batman is foolish [PERIOD] Rules: tame [AND] stupid [AND] pessimistic [IMPLY] mean [PERIOD] impartial [IMPLY] troubled [PERIOD] worried [IMPLY] disgusted [PERIOD] disgusted [IMPLY] foolish [PERIOD] troubled [AND] worried [AND] fool...
Proof chain: disgusted ∧ smart ⇒ tame foolish ∧ smart ∧ tame ⇒ pessimistic
1
2
Facts: Batman is worried [PERIOD] Batman is elated [PERIOD] Batman is crowded [PERIOD] Batman is sincere [PERIOD] Rules: embarrassed [AND] lucky [AND] supportive [IMPLY] crowded [PERIOD] pessimistic [AND] elated [IMPLY] hypocritical [PERIOD] clumsy [AND] careless [AND] worried [IMPLY] supportive [PERIOD] elated [IMPLY...
Proof chain: Cannot apply rule “pessimistic ∧ elated ⇒ hypocritical” because missing: pessimistic. Cannot apply rule “pessimistic ⇒ hypocritical” because missing: pessimistic.
0
2
Facts: Batman is powerful [PERIOD] Rules: adorable [AND] zealous [AND] powerful [IMPLY] friendly [PERIOD] popular [AND] supportive [AND] cooperative [IMPLY] good [PERIOD] horrible [IMPLY] thoughtful [PERIOD] zealous [AND] thoughtful [IMPLY] horrible [PERIOD] supportive [AND] zealous [IMPLY] crowded [PERIOD] popular [A...
Proof chain: powerful ⇒ cooperative cooperative ∧ powerful ⇒ crowded
1
2
Facts: Batman is bright [PERIOD] Rules: tidy [AND] ugly [IMPLY] clumsy [PERIOD] excited [IMPLY] careless [PERIOD] courageous [AND] careless [IMPLY] excited [PERIOD] tidy [IMPLY] old-fashioned [PERIOD] clean [AND] wrong [AND] old-fashioned [IMPLY] clumsy [PERIOD] old-fashioned [AND] excited [IMPLY] bright [PERIOD] brig...
Proof chain: Cannot apply rule “clumsy ∧ tidy ∧ old-fashioned ⇒ wrong” because missing: clumsy, tidy, old-fashioned. Cannot apply rule “clumsy ∧ easy ⇒ wrong” because missing: clumsy, easy.
0
2
Facts: Rules: tender [AND] mean [AND] impatient [IMPLY] selfish [PERIOD] disobedient [AND] mean [IMPLY] famous [PERIOD] unpleasant [IMPLY] vivacious [PERIOD] blushing [AND] confident [IMPLY] shiny [PERIOD] mean [AND] outstanding [AND] vivacious [IMPLY] confident [PERIOD] shiny [AND] blushing [IMPLY] agreeable [PERIOD]...
Proof chain: Cannot apply rule “shiny ∧ blushing ⇒ agreeable” because missing: shiny, blushing. Cannot apply rule “enchanting ⇒ agreeable” because missing: enchanting.
0
2
Facts: Batman is uptight [PERIOD] Batman is different [PERIOD] Batman is fine [PERIOD] Rules: fine [IMPLY] long [PERIOD] grumpy [AND] friendly [AND] uptight [IMPLY] ugliest [PERIOD] thoughtless [AND] calm [AND] old-fashioned [IMPLY] attractive [PERIOD] friendly [AND] comfortable [IMPLY] attractive [PERIOD] old-fashion...
Proof chain: different ⇒ adorable Cannot apply rule “comfortable ∧ adorable ∧ uptight ⇒ grumpy” because missing: comfortable.
0
2
Facts: Rules: elated [IMPLY] outrageous [PERIOD] good [IMPLY] elated [PERIOD] good [AND] supportive [IMPLY] embarrassed [PERIOD] frantic [IMPLY] good [PERIOD] supportive [AND] good [AND] elated [IMPLY] frantic [PERIOD] busy [AND] outrageous [AND] good [IMPLY] embarrassed [PERIOD] embarrassed [IMPLY] good [PERIOD] fran...
Proof chain: Cannot apply rule “good ∧ supportive ⇒ embarrassed” because missing: good, supportive. Cannot apply rule “busy ∧ outrageous ∧ good ⇒ embarrassed” because missing: busy, outrageous, good.
0
2
Facts: Rules: bossy [AND] careless [AND] helpful [IMPLY] powerful [PERIOD] foolish [AND] beautiful [AND] innocent [IMPLY] adorable [PERIOD] adorable [AND] mean [IMPLY] perfect [PERIOD] careless [IMPLY] innocent [PERIOD] bossy [AND] homely [IMPLY] powerful [PERIOD] silly [AND] powerful [IMPLY] mean [PERIOD] helpful [AN...
Proof chain: Cannot apply rule “careless ⇒ innocent” because missing: careless. Cannot apply rule “ambitious ⇒ innocent” because missing: ambitious.
0
2
Facts: Rules: broad-minded [IMPLY] impatient [PERIOD] fancy [AND] impatient [IMPLY] hilarious [PERIOD] stormy [AND] impatient [IMPLY] joyous [PERIOD] impatient [AND] joyous [AND] broad-minded [IMPLY] stormy [PERIOD] serious [AND] stormy [AND] joyous [IMPLY] impatient [PERIOD] joyous [AND] impatient [AND] broad-minded ...
Proof chain: Cannot apply rule “impatient ∧ joyous ∧ broad-minded ⇒ stormy” because missing: impatient, joyous, broad-minded. Cannot apply rule “broad-minded ∧ serious ⇒ stormy” because missing: broad-minded, serious.
0
2
Facts: Rules: shy [AND] difficult [IMPLY] disobedient [PERIOD] mean [IMPLY] disgusted [PERIOD] excited [AND] gorgeous [IMPLY] comfortable [PERIOD] modern [AND] dull [AND] famous [IMPLY] frightened [PERIOD] excited [AND] joyous [AND] gorgeous [IMPLY] frightened [PERIOD] modern [AND] difficult [IMPLY] disgusted [PERIOD]...
Proof chain: Cannot apply rule “joyous ∧ blushing ⇒ troubled” because missing: joyous, blushing. Cannot apply rule “disobedient ∧ excited ∧ thoughtful ⇒ troubled” because missing: disobedient, excited, thoughtful.
0
2
Facts: Batman is gifted [PERIOD] Batman is hypocritical [PERIOD] Batman is jittery [PERIOD] Rules: uptight [AND] intellectual [AND] jittery [IMPLY] modern [PERIOD] perfect [AND] intellectual [AND] modern [IMPLY] helpless [PERIOD] modern [AND] polite [AND] jittery [IMPLY] gifted [PERIOD] hypocritical [AND] polite [IMPL...
Proof chain: gifted ⇒ polite polite ∧ hypocritical ∧ gifted ⇒ helpless
1
2
Facts: Batman is intellectual [PERIOD] Batman is weary [PERIOD] Batman is reserved [PERIOD] Batman is fragile [PERIOD] Batman is ambitious [PERIOD] Batman is proud [PERIOD] Batman is joyous [PERIOD] Rules: gifted [IMPLY] ambitious [PERIOD] fragile [IMPLY] serious [PERIOD] gifted [AND] wide-eyed [IMPLY] weary [PERIOD] ...
Proof chain: proud ⇒ gifted gifted ⇒ dishonest
1
2
Facts: Batman is talented [PERIOD] Batman is strange [PERIOD] Batman is stupid [PERIOD] Batman is difficult [PERIOD] Batman is spotless [PERIOD] Batman is troubled [PERIOD] Batman is powerful [PERIOD] Rules: talented [IMPLY] worrisome [PERIOD] fragile [AND] courageous [AND] troubled [IMPLY] nervous [PERIOD] clumsy [AN...
Proof chain: troubled ⇒ ugliest strange ∧ ugliest ⇒ cruel
1
2
Facts: Batman is lonely [PERIOD] Batman is comfortable [PERIOD] Rules: lonely [AND] sleepy [AND] embarrassed [IMPLY] exuberant [PERIOD] gleaming [IMPLY] long [PERIOD] gleaming [IMPLY] popular [PERIOD] embarrassed [IMPLY] lonely [PERIOD] exuberant [AND] popular [IMPLY] strange [PERIOD] gleaming [AND] strange [AND] long...
Proof chain: Cannot apply rule “lonely ∧ sleepy ∧ embarrassed ⇒ exuberant” because missing: sleepy, embarrassed. Cannot apply rule “popular ⇒ exuberant” because missing: popular.
0
2
Facts: Batman is dull [PERIOD] Batman is naughty [PERIOD] Batman is thoughtless [PERIOD] Batman is reserved [PERIOD] Rules: thoughtful [IMPLY] shiny [PERIOD] proud [AND] thoughtless [IMPLY] scared [PERIOD] naughty [AND] unpleasant [AND] shiny [IMPLY] scared [PERIOD] cruel [IMPLY] shy [PERIOD] naughty [AND] modern [IMP...
Proof chain: Cannot apply rule “clumsy ∧ naughty ∧ fancy ⇒ proud” because missing: clumsy, fancy. Cannot apply rule “dull ∧ pessimistic ⇒ proud” because missing: pessimistic.
0
2
Facts: Batman is joyous [PERIOD] Batman is diplomatic [PERIOD] Batman is horrible [PERIOD] Batman is difficult [PERIOD] Batman is serious [PERIOD] Rules: diplomatic [AND] inquisitive [AND] difficult [IMPLY] talented [PERIOD] horrible [IMPLY] difficult [PERIOD] ugliest [IMPLY] inquisitive [PERIOD] horrible [AND] joyous...
Proof chain: diplomatic ∧ horrible ⇒ clumsy clumsy ⇒ stubborn
1
2
Facts: Batman is good [PERIOD] Batman is embarrassed [PERIOD] Batman is alert [PERIOD] Batman is perfect [PERIOD] Batman is excited [PERIOD] Batman is homely [PERIOD] Batman is grumpy [PERIOD] Batman is frail [PERIOD] Rules: alert [IMPLY] frail [PERIOD] excited [AND] serious [AND] perfect [IMPLY] alert [PERIOD] good [...
Proof chain: Cannot apply rule “proud ∧ alert ∧ curious ⇒ quaint” because missing: proud, curious. Cannot apply rule “reserved ∧ good ⇒ quaint” because missing: reserved.
0
2
Facts: Batman is innocent [PERIOD] Batman is crowded [PERIOD] Batman is plain [PERIOD] Batman is proud [PERIOD] Rules: old-fashioned [AND] rational [AND] troubled [IMPLY] bad-tempered [PERIOD] talented [IMPLY] rational [PERIOD] plain [IMPLY] tame [PERIOD] worried [AND] unpleasant [AND] jittery [IMPLY] bad-tempered [PE...
Proof chain: innocent ∧ plain ⇒ unpleasant unpleasant ∧ innocent ⇒ glamorous
1
2