Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is light [PERIOD] Batman is rational [PERIOD] Batman is supportive [PERIOD] Rules: bad-tempered [AND] selfish [IMPLY] old-fashioned [PERIOD] supportive [IMPLY] clumsy [PERIOD] fragile [AND] easy [IMPLY] diplomatic [PERIOD] alert [AND] mean [IMPLY] attractive [PERIOD] attractive [AND] hurt [IMPLY] light [...
Proof chain: light ⇒ old-fashioned rational ⇒ bad-tempered old-fashioned ∧ bad-tempered ⇒ fragile Cannot apply rule “fragile ∧ easy ⇒ diplomatic” because missing: easy. Cannot apply rule “sincere ∧ curious ∧ selfish ⇒ diplomatic” because missing: sincere, curious, selfish. light ⇒ old-fashioned rat...
0
10
Facts: Batman is proud [PERIOD] Batman is gorgeous [PERIOD] Rules: pleasant [AND] tired [AND] hilarious [IMPLY] horrible [PERIOD] vivacious [IMPLY] confused [PERIOD] different [IMPLY] outrageous [PERIOD] silly [AND] different [IMPLY] bad-tempered [PERIOD] confused [AND] unpleasant [AND] jittery [IMPLY] shiny [PERIOD] ...
Proof chain: proud ⇒ exuberant exuberant ⇒ pleasant pleasant ⇒ muddy Cannot apply rule “cute ∧ lucky ∧ muddy ⇒ jittery” because missing: cute, lucky. proud ⇒ exuberant exuberant ⇒ pleasant Cannot apply rule “tired ∧ pleasant ⇒ jittery” because missing: tired. Cannot apply rule “troubled ∧ attent...
0
10
Facts: Batman is elated [PERIOD] Batman is ugly [PERIOD] Batman is condemned [PERIOD] Batman is rude [PERIOD] Batman is adorable [PERIOD] Batman is proud [PERIOD] Batman is foolish [PERIOD] Rules: strange [AND] frightened [IMPLY] spotless [PERIOD] thoughtless [IMPLY] rude [PERIOD] friendly [AND] smart [AND] excited [I...
Proof chain: rude ⇒ witty witty ⇒ crowded Cannot apply rule “crowded ∧ easy ∧ mysterious ⇒ confused” because missing: easy, mysterious. rude ⇒ witty witty ⇒ crowded Cannot apply rule “proud ∧ ugliest ∧ crowded ⇒ confused” because missing: ugliest. rude ⇒ witty witty ⇒ crowded crowded ⇒ lonely...
0
10
Facts: Batman is agreeable [PERIOD] Batman is calm [PERIOD] Batman is naughty [PERIOD] Batman is comfortable [PERIOD] Rules: naughty [AND] combative [IMPLY] wandering [PERIOD] pessimistic [AND] comfortable [AND] embarrassed [IMPLY] agreeable [PERIOD] attractive [IMPLY] mysterious [PERIOD] wandering [IMPLY] pessimistic...
Proof chain: comfortable ⇒ mysterious naughty ∧ mysterious ⇒ weary Cannot apply rule “comfortable ∧ weary ∧ wandering ⇒ attractive” because missing: wandering. comfortable ⇒ mysterious naughty ∧ mysterious ⇒ weary comfortable ⇒ mysterious weary ∧ mysterious ⇒ clumsy Cannot apply rule “agreeable ...
0
10
Facts: Batman is perfect [PERIOD] Batman is popular [PERIOD] Batman is stubborn [PERIOD] Batman is inexpensive [PERIOD] Batman is difficult [PERIOD] Rules: plain [AND] rational [IMPLY] attentive [PERIOD] plain [IMPLY] stubborn [PERIOD] stormy [AND] enchanting [IMPLY] difficult [PERIOD] plain [AND] rational [IMPLY] mud...
Proof chain: popular ⇒ worried perfect ⇒ plain worried ∧ plain ⇒ attentive popular ⇒ worried difficult ∧ inexpensive ⇒ lucky worried ∧ lucky ∧ perfect ⇒ stormy stormy ∧ difficult ⇒ courageous attentive ∧ inexpensive ∧ courageous ⇒ mysterious stubborn ⇒ impatient mysterious ∧ impatient ⇒ bo...
1
10
Facts: Batman is polite [PERIOD] Batman is different [PERIOD] Rules: gleaming [AND] mean [AND] frightened [IMPLY] different [PERIOD] bright [IMPLY] polite [PERIOD] bright [AND] rational [IMPLY] stormy [PERIOD] quaint [AND] gleaming [IMPLY] sensible [PERIOD] stormy [AND] impatient [AND] shy [IMPLY] disobedient [PERIOD]...
Proof chain: Cannot apply rule “mysterious ∧ quaint ⇒ combative” because missing: mysterious, quaint. different ⇒ talented talented ⇒ cruel cruel ∧ polite ⇒ bright different ⇒ talented talented ⇒ cruel cruel ⇒ rational bright ∧ rational ⇒ stormy Cannot apply rule “impatient ∧ stormy ⇒ combati...
0
10
Facts: Batman is witty [PERIOD] Batman is shy [PERIOD] Batman is inexpensive [PERIOD] Batman is bad-tempered [PERIOD] Batman is elegant [PERIOD] Batman is mysterious [PERIOD] Batman is gorgeous [PERIOD] Batman is beautiful [PERIOD] Rules: wrong [AND] calm [AND] frail [IMPLY] beautiful [PERIOD] embarrassed [IMPLY] mean...
Proof chain: inexpensive ⇒ muddy inexpensive ⇒ muddy muddy ⇒ wrong shy ⇒ anxious anxious ⇒ calm wrong ∧ mysterious ∧ calm ⇒ frail witty ∧ frail ⇒ worried worried ⇒ spotless shy ⇒ intellectual muddy ∧ spotless ∧ intellectual ⇒ sleepy
1
10
Facts: Batman is fine [PERIOD] Batman is nervous [PERIOD] Batman is bad-tempered [PERIOD] Batman is mean [PERIOD] Rules: disgusted [AND] bossy [AND] impartial [IMPLY] elegant [PERIOD] rational [AND] selfish [AND] helpful [IMPLY] hurt [PERIOD] outstanding [IMPLY] silly [PERIOD] frail [AND] helpful [AND] elegant [IMPLY]...
Proof chain: nervous ⇒ frantic frantic ⇒ wrong wrong ∧ mean ⇒ easy nervous ⇒ frantic frantic ∧ mean ⇒ average easy ∧ average ∧ fine ⇒ bright bright ∧ bad-tempered ⇒ elegant elegant ⇒ busy busy ⇒ impartial impartial ⇒ helpful
1
10
Facts: Batman is ugly [PERIOD] Batman is gleaming [PERIOD] Rules: supportive [AND] gleaming [IMPLY] bright [PERIOD] condemned [AND] curious [AND] vivacious [IMPLY] homely [PERIOD] curious [AND] homely [IMPLY] bright [PERIOD] supportive [AND] homely [IMPLY] curious [PERIOD] worried [AND] ugly [IMPLY] bright [PERIOD] vi...
Proof chain: gleaming ⇒ curious curious ⇒ careless gleaming ⇒ curious gleaming ⇒ curious curious ⇒ vivacious gleaming ⇒ curious vivacious ∧ curious ⇒ worried gleaming ∧ worried ⇒ supportive curious ∧ supportive ∧ gleaming ⇒ nervous careless ∧ nervous ⇒ talented
1
10
Facts: Batman is hurt [PERIOD] Batman is confident [PERIOD] Rules: gorgeous [IMPLY] confident [PERIOD] cute [IMPLY] hurt [PERIOD] hurt [AND] precious [IMPLY] serious [PERIOD] disgusted [AND] cruel [IMPLY] alert [PERIOD] messy [AND] disgusted [AND] mysterious [IMPLY] gorgeous [PERIOD] mysterious [AND] precious [AND] se...
Proof chain: Cannot apply rule “hurt ∧ precious ⇒ serious” because missing: precious. Cannot apply rule “messy ⇒ serious” because missing: messy. hurt ⇒ versatile Cannot apply rule “amused ∧ versatile ⇒ serious” because missing: amused. Cannot apply rule “precious ⇒ serious” because missing: precious. ...
0
10
Facts: Batman is fancy [PERIOD] Batman is tense [PERIOD] Rules: fancy [AND] cruel [AND] hypocritical [IMPLY] spotless [PERIOD] cruel [IMPLY] fine [PERIOD] cruel [IMPLY] foolish [PERIOD] hypocritical [AND] fancy [IMPLY] tense [PERIOD] supportive [AND] alert [AND] serious [IMPLY] fine [PERIOD] serious [IMPLY] supportive...
Proof chain: Cannot apply rule “serious ⇒ supportive” because missing: serious. fancy ⇒ spotless tense ⇒ fine Cannot apply rule “spotless ∧ fine ∧ alert ⇒ supportive” because missing: alert. tense ⇒ fine fine ⇒ hypocritical fancy ⇒ spotless Cannot apply rule “hypocritical ∧ serious ∧ spotless ⇒ ...
0
10
Facts: Batman is versatile [PERIOD] Batman is homely [PERIOD] Batman is dishonest [PERIOD] Rules: bad-tempered [AND] hypocritical [IMPLY] homely [PERIOD] wandering [AND] messy [AND] outstanding [IMPLY] friendly [PERIOD] outstanding [AND] enchanting [IMPLY] homely [PERIOD] confident [AND] hypocritical [IMPLY] wandering...
Proof chain: Cannot apply rule “plain ∧ naughty ⇒ confident” because missing: plain, naughty. Cannot apply rule “wandering ∧ outstanding ⇒ confident” because missing: wandering, outstanding. Cannot apply rule “friendly ∧ fancy ∧ versatile ⇒ confident” because missing: friendly, fancy. Cannot apply rule “hel...
0
10
Facts: Batman is alert [PERIOD] Rules: silly [IMPLY] alert [PERIOD] reserved [AND] gleaming [IMPLY] foolish [PERIOD] reserved [AND] fragile [AND] adorable [IMPLY] homely [PERIOD] silly [IMPLY] foolish [PERIOD] charming [AND] adorable [AND] alert [IMPLY] homely [PERIOD] foolish [IMPLY] charming [PERIOD] foolish [AND] f...
Proof chain: alert ⇒ charming charming ⇒ fragile Cannot apply rule “reserved ∧ fragile ∧ adorable ⇒ homely” because missing: reserved, adorable. alert ⇒ charming Cannot apply rule “charming ∧ adorable ∧ alert ⇒ homely” because missing: adorable. alert ⇒ charming Cannot apply rule “reserved ∧ alert ...
0
10
Facts: Batman is famous [PERIOD] Batman is gleaming [PERIOD] Batman is thoughtful [PERIOD] Batman is adorable [PERIOD] Rules: worrisome [AND] adorable [IMPLY] tired [PERIOD] clean [AND] friendly [AND] aggressive [IMPLY] hurt [PERIOD] clean [AND] mysterious [IMPLY] uptight [PERIOD] clean [AND] gorgeous [IMPLY] silly [P...
Proof chain: thoughtful ⇒ mysterious mysterious ∧ gleaming ⇒ tired gleaming ∧ thoughtful ⇒ fine tired ∧ fine ⇒ clean gleaming ∧ thoughtful ⇒ fine fine ⇒ aggressive aggressive ⇒ friendly gleaming ∧ thoughtful ⇒ fine fine ⇒ aggressive clean ∧ friendly ∧ aggressive ⇒ hurt
1
10
Facts: Batman is crowded [PERIOD] Batman is attractive [PERIOD] Rules: attentive [AND] grumpy [AND] curious [IMPLY] troubled [PERIOD] grumpy [IMPLY] hurt [PERIOD] crowded [AND] troubled [IMPLY] shy [PERIOD] attentive [AND] grumpy [AND] hurt [IMPLY] shy [PERIOD] attentive [AND] silly [IMPLY] attractive [PERIOD] grumpy ...
Proof chain: crowded ⇒ attentive Cannot apply rule “attentive ∧ grumpy ∧ curious ⇒ troubled” because missing: grumpy, curious. crowded ⇒ attentive crowded ⇒ attentive attentive ⇒ mysterious Cannot apply rule “attentive ∧ mysterious ∧ shy ⇒ troubled” because missing: shy. crowded ⇒ attentive Cann...
0
10
Facts: Batman is nervous [PERIOD] Batman is courageous [PERIOD] Rules: wrong [AND] talkative [IMPLY] helpless [PERIOD] cooperative [IMPLY] amused [PERIOD] cooperative [AND] amused [IMPLY] famous [PERIOD] cooperative [IMPLY] helpless [PERIOD] famous [IMPLY] nervous [PERIOD] long [IMPLY] talkative [PERIOD] wrong [AND] c...
Proof chain: courageous ⇒ long long ⇒ talkative nervous ⇒ hypocritical nervous ∧ courageous ⇒ wrong courageous ⇒ long long ⇒ talkative wrong ∧ talkative ⇒ helpless courageous ∧ nervous ∧ helpless ⇒ famous talkative ∧ hypocritical ∧ famous ⇒ cooperative cooperative ⇒ amused
1
10
Facts: Batman is busy [PERIOD] Batman is fearless [PERIOD] Rules: fearless [AND] hypocritical [IMPLY] frantic [PERIOD] scared [IMPLY] good [PERIOD] witty [AND] calm [AND] good [IMPLY] frantic [PERIOD] wide-eyed [AND] good [AND] busy [IMPLY] witty [PERIOD] bright [AND] inquisitive [AND] hypocritical [IMPLY] fearless [P...
Proof chain: Cannot apply rule “fearless ∧ hypocritical ⇒ frantic” because missing: hypocritical. fearless ⇒ good Cannot apply rule “witty ∧ calm ∧ good ⇒ frantic” because missing: witty, calm. Cannot apply rule “fearless ∧ wide-eyed ∧ inquisitive ⇒ frantic” because missing: wide-eyed, inquisitive. fearl...
0
10
Facts: Batman is shiny [PERIOD] Batman is outstanding [PERIOD] Rules: uptight [IMPLY] shiny [PERIOD] uptight [AND] tired [IMPLY] foolish [PERIOD] shiny [IMPLY] horrible [PERIOD] foolish [AND] fine [AND] zealous [IMPLY] rude [PERIOD] outstanding [AND] uptight [AND] foolish [IMPLY] horrible [PERIOD] rude [AND] quaint [A...
Proof chain: shiny ⇒ horrible horrible ⇒ fine Cannot apply rule “foolish ∧ fine ∧ zealous ⇒ rude” because missing: foolish, zealous. shiny ⇒ horrible horrible ⇒ fine Cannot apply rule “fine ∧ quaint ⇒ rude” because missing: quaint. Cannot apply rule “distinct ∧ shiny ∧ enchanting ⇒ rude” because mi...
0
10
Facts: Batman is messy [PERIOD] Rules: bored [AND] sleepy [IMPLY] shiny [PERIOD] messy [IMPLY] outrageous [PERIOD] average [AND] bored [IMPLY] broad-minded [PERIOD] confident [IMPLY] stubborn [PERIOD] supportive [IMPLY] stubborn [PERIOD] average [AND] messy [IMPLY] bored [PERIOD] worrisome [AND] bored [IMPLY] shiny [P...
Proof chain: messy ⇒ outrageous outrageous ⇒ hurt Cannot apply rule “joyous ∧ hurt ∧ sleepy ⇒ beautiful” because missing: joyous, sleepy. Cannot apply rule “intellectual ⇒ beautiful” because missing: intellectual. messy ⇒ outrageous outrageous ⇒ attentive messy ⇒ outrageous outrageous ⇒ attentiv...
0
10
Facts: Batman is blushing [PERIOD] Batman is wandering [PERIOD] Rules: horrible [IMPLY] blushing [PERIOD] impatient [AND] calm [AND] embarrassed [IMPLY] victorious [PERIOD] embarrassed [IMPLY] fearless [PERIOD] embarrassed [IMPLY] adorable [PERIOD] fearless [AND] embarrassed [AND] calm [IMPLY] impatient [PERIOD] fine ...
Proof chain: wandering ⇒ adorable blushing ∧ adorable ⇒ impatient wandering ⇒ adorable blushing ∧ adorable ⇒ impatient impatient ⇒ embarrassed embarrassed ⇒ calm wandering ⇒ adorable blushing ∧ adorable ⇒ impatient impatient ⇒ embarrassed impatient ∧ calm ∧ embarrassed ⇒ victorious
1
10
Facts: Batman is average [PERIOD] Batman is powerful [PERIOD] Batman is lucky [PERIOD] Rules: bright [AND] average [AND] hilarious [IMPLY] fancy [PERIOD] amused [AND] glamorous [AND] powerful [IMPLY] fancy [PERIOD] fancy [IMPLY] supportive [PERIOD] fancy [IMPLY] hilarious [PERIOD] amused [AND] supportive [IMPLY] avera...
Proof chain: average ∧ lucky ⇒ bright Cannot apply rule “bright ∧ average ∧ hilarious ⇒ fancy” because missing: hilarious. Cannot apply rule “amused ∧ glamorous ∧ powerful ⇒ fancy” because missing: amused, glamorous. Cannot apply rule “hilarious ⇒ fancy” because missing: hilarious. average ∧ lucky ⇒ brig...
0
10
Facts: Batman is ugly [PERIOD] Batman is bossy [PERIOD] Batman is scared [PERIOD] Batman is diplomatic [PERIOD] Batman is crowded [PERIOD] Batman is easy [PERIOD] Batman is ugliest [PERIOD] Rules: clean [AND] easy [AND] talented [IMPLY] aggressive [PERIOD] outrageous [AND] bossy [AND] shy [IMPLY] zealous [PERIOD] zeal...
Proof chain: Cannot apply rule “zealous ⇒ worrisome” because missing: zealous. diplomatic ⇒ pessimistic ugliest ⇒ disobedient Cannot apply rule “pessimistic ∧ worried ∧ disobedient ⇒ worrisome” because missing: worried. bossy ∧ easy ∧ scared ⇒ clean clean ⇒ attractive diplomatic ⇒ pessimistic at...
0
10
Facts: Batman is pessimistic [PERIOD] Batman is rude [PERIOD] Rules: pessimistic [AND] rational [AND] tender [IMPLY] attractive [PERIOD] pessimistic [AND] attractive [AND] sincere [IMPLY] anxious [PERIOD] rude [AND] perfect [AND] tender [IMPLY] sincere [PERIOD] anxious [AND] pessimistic [AND] rude [IMPLY] versatile [P...
Proof chain: rude ⇒ attractive Cannot apply rule “pessimistic ∧ attractive ∧ sincere ⇒ anxious” because missing: sincere. pessimistic ⇒ perfect rude ⇒ attractive perfect ∧ attractive ⇒ versatile rude ⇒ attractive Cannot apply rule “versatile ∧ rational ∧ attractive ⇒ anxious” because missing: ratio...
0
10
Facts: Batman is cruel [PERIOD] Batman is bright [PERIOD] Batman is tense [PERIOD] Batman is stubborn [PERIOD] Batman is straightforward [PERIOD] Rules: gleaming [IMPLY] tense [PERIOD] gorgeous [AND] bright [IMPLY] fine [PERIOD] gorgeous [AND] ugliest [IMPLY] scared [PERIOD] scared [IMPLY] naughty [PERIOD] comfortable...
Proof chain: straightforward ⇒ gifted straightforward ⇒ gifted gifted ∧ cruel ⇒ dull gifted ∧ dull ⇒ gorgeous straightforward ⇒ gifted straightforward ⇒ gifted gifted ∧ cruel ⇒ dull gifted ∧ dull ⇒ gorgeous gorgeous ∧ bright ⇒ fine cruel ∧ gorgeous ∧ fine ⇒ ugliest
1
10
Facts: Batman is vivacious [PERIOD] Rules: diplomatic [AND] homely [IMPLY] blushing [PERIOD] pleasant [AND] fine [IMPLY] homely [PERIOD] cute [AND] distinct [AND] average [IMPLY] vivacious [PERIOD] sincere [IMPLY] diplomatic [PERIOD] fine [AND] difficult [IMPLY] clumsy [PERIOD] sincere [AND] troubled [IMPLY] tired [PE...
Proof chain: vivacious ⇒ friendly Cannot apply rule “friendly ∧ sincere ∧ naughty ⇒ cruel” because missing: sincere, naughty. Cannot apply rule “distinct ∧ clumsy ⇒ cruel” because missing: distinct, clumsy. Cannot apply rule “naughty ⇒ cruel” because missing: naughty. vivacious ⇒ friendly friendly ⇒ c...
0
10
Facts: Batman is unpleasant [PERIOD] Batman is cooperative [PERIOD] Batman is outrageous [PERIOD] Batman is outstanding [PERIOD] Batman is sincere [PERIOD] Batman is attractive [PERIOD] Batman is troubled [PERIOD] Rules: different [IMPLY] tired [PERIOD] embarrassed [AND] sincere [IMPLY] bad-tempered [PERIOD] outrageou...
Proof chain: Cannot apply rule “embarrassed ∧ sincere ⇒ bad-tempered” because missing: embarrassed. outrageous ⇒ different different ⇒ tired tired ⇒ selfish outrageous ⇒ confident Cannot apply rule “selfish ∧ confident ∧ embarrassed ⇒ bad-tempered” because missing: embarrassed. Cannot apply rule “c...
0
10
Facts: Batman is weary [PERIOD] Rules: plain [AND] shy [IMPLY] condemned [PERIOD] gorgeous [IMPLY] cooperative [PERIOD] worrisome [AND] condemned [AND] famous [IMPLY] plain [PERIOD] gifted [AND] gorgeous [IMPLY] condemned [PERIOD] loving [AND] disgusted [AND] outrageous [IMPLY] lonely [PERIOD] lonely [AND] troubled [I...
Proof chain: weary ⇒ grumpy weary ⇒ grumpy grumpy ⇒ glamorous weary ⇒ grumpy grumpy ⇒ glamorous weary ⇒ grumpy grumpy ⇒ cooperative glamorous ∧ cooperative ⇒ tame grumpy ∧ glamorous ∧ tame ⇒ plain plain ⇒ outstanding
1
10
Facts: Batman is innocent [PERIOD] Batman is talented [PERIOD] Rules: thoughtful [AND] supportive [AND] distinct [IMPLY] anxious [PERIOD] hilarious [IMPLY] distinct [PERIOD] stormy [AND] uptight [IMPLY] scared [PERIOD] careless [AND] wide-eyed [AND] anxious [IMPLY] scared [PERIOD] hilarious [IMPLY] anxious [PERIOD] wi...
Proof chain: talented ⇒ distinct distinct ⇒ hilarious hilarious ⇒ anxious anxious ⇒ proud proud ⇒ uptight talented ⇒ distinct distinct ⇒ hilarious hilarious ⇒ anxious anxious ⇒ proud Cannot apply rule “scared ∧ uptight ∧ proud ⇒ thoughtful” because missing: scared.
0
10
Facts: Batman is amused [PERIOD] Batman is crowded [PERIOD] Rules: thoughtless [IMPLY] average [PERIOD] thoughtless [IMPLY] victorious [PERIOD] vivacious [AND] thoughtless [IMPLY] disobedient [PERIOD] fancy [AND] amused [AND] foolish [IMPLY] disobedient [PERIOD] stormy [IMPLY] crowded [PERIOD] bored [AND] fearless [AN...
Proof chain: amused ⇒ bad-tempered bad-tempered ⇒ vivacious vivacious ⇒ victorious amused ⇒ bad-tempered amused ⇒ bad-tempered bad-tempered ⇒ fancy fancy ⇒ exuberant exuberant ⇒ foolish bad-tempered ∧ foolish ⇒ fearless victorious ∧ fearless ⇒ thoughtless
1
10
Facts: Batman is excited [PERIOD] Batman is helpful [PERIOD] Rules: proud [AND] beautiful [IMPLY] talkative [PERIOD] proud [IMPLY] homely [PERIOD] average [AND] straightforward [IMPLY] horrible [PERIOD] horrible [IMPLY] loving [PERIOD] foolish [AND] hypocritical [AND] easy [IMPLY] excited [PERIOD] helpful [AND] excite...
Proof chain: helpful ∧ excited ⇒ homely helpful ∧ excited ⇒ homely helpful ∧ homely ⇒ straightforward homely ∧ straightforward ⇒ proud Cannot apply rule “proud ∧ beautiful ⇒ talkative” because missing: beautiful. helpful ⇒ horrible Cannot apply rule “foolish ∧ easy ∧ horrible ⇒ talkative” because m...
0
10
Facts: Batman is impatient [PERIOD] Rules: comfortable [AND] shy [AND] quaint [IMPLY] supportive [PERIOD] charming [AND] foolish [IMPLY] selfish [PERIOD] outrageous [AND] anxious [IMPLY] selfish [PERIOD] stormy [AND] anxious [AND] cruel [IMPLY] supportive [PERIOD] impatient [AND] hypocritical [IMPLY] quaint [PERIOD] q...
Proof chain: impatient ⇒ helpful helpful ⇒ supportive impatient ⇒ helpful helpful ⇒ supportive supportive ⇒ cruel cruel ⇒ comfortable impatient ⇒ helpful helpful ⇒ pessimistic pessimistic ⇒ light supportive ∧ comfortable ∧ light ⇒ smart
1
10
Facts: Batman is mean [PERIOD] Batman is disgusted [PERIOD] Batman is uptight [PERIOD] Batman is tired [PERIOD] Batman is victorious [PERIOD] Batman is exuberant [PERIOD] Rules: wrong [IMPLY] average [PERIOD] long [AND] muddy [IMPLY] reserved [PERIOD] adorable [AND] uptight [AND] agreeable [IMPLY] confused [PERIOD] wr...
Proof chain: mean ⇒ stubborn tired ∧ victorious ∧ mean ⇒ selfish selfish ∧ disgusted ∧ exuberant ⇒ adorable adorable ⇒ inexpensive tired ∧ victorious ∧ mean ⇒ selfish selfish ∧ disgusted ∧ exuberant ⇒ adorable victorious ∧ disgusted ⇒ confused inexpensive ∧ adorable ∧ confused ⇒ wrong wrong ⇒...
0
10
Facts: Batman is shy [PERIOD] Batman is elated [PERIOD] Batman is reserved [PERIOD] Batman is agreeable [PERIOD] Batman is friendly [PERIOD] Batman is ugly [PERIOD] Rules: condemned [AND] enchanting [IMPLY] polite [PERIOD] agreeable [AND] nervous [IMPLY] beautiful [PERIOD] clumsy [AND] agreeable [AND] friendly [IMPLY]...
Proof chain: Cannot apply rule “friendly ∧ nervous ⇒ condemned” because missing: nervous. reserved ⇒ enchanting enchanting ⇒ tender Cannot apply rule “ugly ∧ aggressive ∧ tender ⇒ condemned” because missing: aggressive. reserved ⇒ enchanting enchanting ⇒ gorgeous gorgeous ⇒ mysterious Cannot app...
0
10
Facts: Batman is precious [PERIOD] Batman is comfortable [PERIOD] Batman is modern [PERIOD] Rules: comfortable [AND] precious [AND] inquisitive [IMPLY] sensible [PERIOD] inquisitive [AND] fragile [IMPLY] sensible [PERIOD] comfortable [IMPLY] worrisome [PERIOD] attractive [AND] comfortable [IMPLY] bright [PERIOD] attra...
Proof chain: precious ⇒ attractive attractive ⇒ crowded comfortable ⇒ worrisome worrisome ⇒ enchanting precious ∧ crowded ∧ enchanting ⇒ different precious ⇒ attractive attractive ∧ comfortable ⇒ bright precious ⇒ attractive attractive ⇒ crowded different ∧ bright ∧ crowded ⇒ agreeable
1
10
Facts: Batman is attractive [PERIOD] Rules: frail [IMPLY] excited [PERIOD] modern [AND] glamorous [IMPLY] rational [PERIOD] elated [AND] attractive [AND] thoughtless [IMPLY] ugly [PERIOD] elated [AND] ugly [AND] modern [IMPLY] reserved [PERIOD] cruel [AND] frail [IMPLY] cooperative [PERIOD] frail [AND] old-fashioned [...
Proof chain: attractive ⇒ glamorous attractive ⇒ thoughtless glamorous ∧ thoughtless ⇒ perfect perfect ⇒ ugly attractive ⇒ cooperative ugly ∧ cooperative ⇒ long attractive ⇒ cooperative long ∧ cooperative ⇒ excited attractive ⇒ cooperative excited ∧ cooperative ⇒ agreeable
1
10
Facts: Batman is frail [PERIOD] Batman is attractive [PERIOD] Rules: tender [IMPLY] frightened [PERIOD] fancy [AND] polite [IMPLY] sincere [PERIOD] fancy [IMPLY] sleepy [PERIOD] attractive [IMPLY] thoughtless [PERIOD] frantic [AND] stormy [AND] intellectual [IMPLY] thoughtless [PERIOD] bad-tempered [AND] stormy [AND] ...
Proof chain: frail ⇒ intellectual attractive ⇒ thoughtless thoughtless ⇒ fancy intellectual ∧ frail ∧ fancy ⇒ gorgeous attractive ⇒ thoughtless thoughtless ⇒ frantic frantic ⇒ charming attractive ⇒ thoughtless thoughtless ⇒ frantic gorgeous ∧ charming ∧ frantic ⇒ attentive
1
10
Facts: Batman is nervous [PERIOD] Batman is clumsy [PERIOD] Batman is messy [PERIOD] Rules: bad-tempered [AND] disgusted [AND] perfect [IMPLY] powerful [PERIOD] perfect [AND] powerful [AND] clean [IMPLY] excited [PERIOD] messy [IMPLY] different [PERIOD] excited [AND] powerful [AND] different [IMPLY] elegant [PERIOD] a...
Proof chain: messy ⇒ different clumsy ∧ different ⇒ powerful messy ⇒ different Cannot apply rule “excited ∧ powerful ∧ different ⇒ elegant” because missing: excited. messy ⇒ different clumsy ∧ different ⇒ powerful clumsy ∧ powerful ⇒ strange clumsy ∧ strange ⇒ disgusted Cannot apply rule “dis...
0
10
Facts: Batman is ugly [PERIOD] Rules: bored [AND] agreeable [IMPLY] spotless [PERIOD] bossy [IMPLY] agreeable [PERIOD] ugly [IMPLY] bored [PERIOD] clumsy [IMPLY] ugly [PERIOD] friendly [AND] powerful [IMPLY] joyous [PERIOD] zealous [AND] bossy [AND] agreeable [IMPLY] ugly [PERIOD] zealous [AND] spotless [AND] joyous [...
Proof chain: Cannot apply rule “zealous ∧ spotless ∧ joyous ⇒ bossy” because missing: zealous, spotless, joyous. ugly ⇒ clumsy ugly ⇒ powerful Cannot apply rule “clumsy ∧ joyous ∧ powerful ⇒ bossy” because missing: joyous. Cannot apply rule “helpless ⇒ bossy” because missing: helpless. ugly ⇒ clumsy ...
0
10
Facts: Rules: plain [AND] easy [IMPLY] loving [PERIOD] mean [AND] impatient [AND] silly [IMPLY] confused [PERIOD] inexpensive [AND] mean [IMPLY] fancy [PERIOD] polite [AND] calm [AND] inexpensive [IMPLY] fancy [PERIOD] excited [AND] fancy [IMPLY] inexpensive [PERIOD] impatient [AND] calm [IMPLY] confused [PERIOD] exci...
Proof chain: Cannot apply rule “inexpensive ∧ mean ⇒ fancy” because missing: inexpensive, mean. Cannot apply rule “polite ∧ calm ∧ inexpensive ⇒ fancy” because missing: polite, calm, inexpensive. Cannot apply rule “calm ⇒ fancy” because missing: calm. Cannot apply rule “loving ∧ easy ∧ tame ⇒ fancy” because...
0
10
Facts: Batman is strange [PERIOD] Rules: strange [IMPLY] cute [PERIOD] strange [AND] gifted [IMPLY] powerful [PERIOD] alert [AND] powerful [IMPLY] fancy [PERIOD] alert [IMPLY] cute [PERIOD] gifted [AND] wandering [AND] cute [IMPLY] helpless [PERIOD] wandering [AND] helpless [AND] powerful [IMPLY] gifted [PERIOD] gifte...
Proof chain: strange ⇒ cute cute ∧ strange ⇒ helpless Cannot apply rule “comfortable ∧ helpless ∧ fancy ⇒ alert” because missing: comfortable, fancy. strange ⇒ cute cute ∧ strange ⇒ helpless helpless ⇒ gifted strange ∧ gifted ⇒ powerful strange ⇒ cute cute ∧ strange ⇒ helpless Cannot apply...
0
10
Facts: Batman is blushing [PERIOD] Batman is tame [PERIOD] Batman is clean [PERIOD] Batman is inexpensive [PERIOD] Batman is condemned [PERIOD] Batman is cute [PERIOD] Rules: different [IMPLY] calm [PERIOD] ugliest [AND] enchanting [AND] good [IMPLY] frail [PERIOD] enchanting [IMPLY] nervous [PERIOD] condemned [AND] d...
Proof chain: cute ⇒ enchanting enchanting ⇒ silly cute ⇒ enchanting enchanting ⇒ exuberant cute ⇒ frightened frightened ⇒ calm exuberant ∧ condemned ∧ calm ⇒ good silly ∧ tame ∧ good ⇒ victorious cute ⇒ frightened victorious ∧ condemned ∧ frightened ⇒ worrisome
1
10
Facts: Batman is weary [PERIOD] Rules: impartial [AND] pleasant [IMPLY] anxious [PERIOD] talented [AND] dishonest [AND] quaint [IMPLY] anxious [PERIOD] talented [AND] light [AND] difficult [IMPLY] pleasant [PERIOD] tense [AND] muddy [IMPLY] helpful [PERIOD] dishonest [IMPLY] impartial [PERIOD] difficult [IMPLY] impart...
Proof chain: weary ⇒ anxious weary ∧ anxious ⇒ easy easy ⇒ muddy weary ⇒ anxious weary ∧ anxious ⇒ easy easy ⇒ proud proud ⇒ elated elated ⇒ wrong weary ∧ wrong ⇒ versatile muddy ∧ versatile ⇒ confused
1
10
Facts: Batman is talkative [PERIOD] Batman is bored [PERIOD] Batman is broad-minded [PERIOD] Batman is perfect [PERIOD] Batman is cooperative [PERIOD] Rules: modern [AND] light [IMPLY] thoughtless [PERIOD] cooperative [AND] fine [AND] bad-tempered [IMPLY] ugliest [PERIOD] cooperative [AND] excited [IMPLY] bad-tempered...
Proof chain: Cannot apply rule “innocent ∧ cooperative ⇒ excited” because missing: innocent. talkative ⇒ sincere Cannot apply rule “broad-minded ∧ sincere ∧ joyous ⇒ excited” because missing: joyous. Cannot apply rule “frail ⇒ excited” because missing: frail. Cannot apply rule “perfect ∧ joyous ⇒ excited...
0
10
Facts: Batman is diplomatic [PERIOD] Rules: stubborn [IMPLY] wrong [PERIOD] diplomatic [AND] hilarious [AND] gifted [IMPLY] thoughtless [PERIOD] hilarious [AND] combative [IMPLY] inquisitive [PERIOD] wandering [AND] bad-tempered [AND] tidy [IMPLY] diplomatic [PERIOD] zealous [AND] inquisitive [IMPLY] disobedient [PERI...
Proof chain: Cannot apply rule “talented ⇒ weary” because missing: talented. Cannot apply rule “diplomatic ∧ combative ⇒ weary” because missing: combative. Cannot apply rule “tidy ⇒ weary” because missing: tidy. Cannot apply rule “inquisitive ∧ talented ∧ famous ⇒ weary” because missing: inquisitive, talent...
0
10
Facts: Batman is perfect [PERIOD] Batman is distinct [PERIOD] Batman is talented [PERIOD] Batman is outrageous [PERIOD] Rules: stupid [AND] courageous [IMPLY] stormy [PERIOD] inexpensive [AND] outrageous [AND] bad-tempered [IMPLY] stupid [PERIOD] messy [AND] shiny [AND] alert [IMPLY] innocent [PERIOD] outrageous [AND]...
Proof chain: talented ⇒ inexpensive inexpensive ⇒ stupid stupid ⇒ blushing talented ⇒ inexpensive inexpensive ⇒ stupid talented ⇒ inexpensive inexpensive ⇒ stupid stupid ⇒ blushing blushing ⇒ stormy blushing ∧ stupid ∧ stormy ⇒ average
1
10
Facts: Batman is muddy [PERIOD] Batman is dull [PERIOD] Batman is nervous [PERIOD] Batman is stormy [PERIOD] Batman is homely [PERIOD] Batman is sincere [PERIOD] Batman is attractive [PERIOD] Batman is tense [PERIOD] Rules: stubborn [AND] disobedient [AND] dishonest [IMPLY] spotless [PERIOD] inquisitive [IMPLY] attrac...
Proof chain: nervous ⇒ confident confident ⇒ spotless spotless ⇒ bad-tempered nervous ⇒ confident confident ⇒ tidy bad-tempered ∧ sincere ∧ tidy ⇒ fine nervous ⇒ confident confident ∧ sincere ⇒ stubborn sincere ∧ stubborn ∧ nervous ⇒ vivacious fine ∧ vivacious ⇒ joyous
1
10
Facts: Batman is thoughtless [PERIOD] Batman is fancy [PERIOD] Batman is hilarious [PERIOD] Batman is comfortable [PERIOD] Rules: elated [AND] busy [IMPLY] perfect [PERIOD] thoughtless [IMPLY] elated [PERIOD] old-fashioned [IMPLY] modern [PERIOD] fancy [IMPLY] worrisome [PERIOD] thoughtless [IMPLY] disobedient [PERIOD...
Proof chain: fancy ⇒ worrisome thoughtless ⇒ elated elated ⇒ modern worrisome ∧ thoughtless ∧ modern ⇒ old-fashioned old-fashioned ⇒ proud thoughtless ⇒ elated elated ⇒ modern modern ⇒ enchanting enchanting ⇒ mysterious proud ∧ mysterious ⇒ crowded
1
10
Facts: Batman is talented [PERIOD] Batman is tired [PERIOD] Rules: silly [IMPLY] confused [PERIOD] gorgeous [IMPLY] silly [PERIOD] supportive [AND] confused [IMPLY] gorgeous [PERIOD] enchanting [AND] gorgeous [AND] zealous [IMPLY] hypocritical [PERIOD] confused [IMPLY] ambitious [PERIOD] gorgeous [IMPLY] tired [PERIOD...
Proof chain: tired ⇒ hypocritical talented ⇒ gorgeous hypocritical ∧ gorgeous ⇒ frail talented ⇒ ambitious ambitious ⇒ confused talented ⇒ messy confused ∧ messy ⇒ ugliest tired ⇒ agreeable frail ∧ ugliest ∧ agreeable ⇒ supportive supportive ⇒ lonely
1
10
Facts: Batman is gleaming [PERIOD] Batman is aggressive [PERIOD] Rules: diplomatic [AND] modern [AND] thoughtful [IMPLY] gleaming [PERIOD] alert [AND] gleaming [IMPLY] modern [PERIOD] different [AND] proud [AND] gifted [IMPLY] muddy [PERIOD] rational [AND] ambitious [IMPLY] innocent [PERIOD] thoughtful [IMPLY] innocen...
Proof chain: gleaming ⇒ thoughtful gleaming ⇒ thoughtful thoughtful ⇒ innocent innocent ⇒ powerful thoughtful ∧ aggressive ∧ powerful ⇒ average gleaming ⇒ thoughtful thoughtful ⇒ muddy average ∧ muddy ⇒ plain plain ⇒ alert alert ⇒ inquisitive
1
10
Facts: Batman is troubled [PERIOD] Batman is bossy [PERIOD] Batman is stubborn [PERIOD] Batman is beautiful [PERIOD] Batman is spotless [PERIOD] Batman is tame [PERIOD] Batman is elegant [PERIOD] Batman is shy [PERIOD] Batman is fearless [PERIOD] Batman is silly [PERIOD] Rules: tidy [IMPLY] helpless [PERIOD] shy [AND]...
Proof chain: Cannot apply rule “easy ∧ fearless ∧ beautiful ⇒ pleasant” because missing: easy. beautiful ∧ shy ⇒ unpleasant beautiful ∧ shy ⇒ unpleasant unpleasant ∧ troubled ∧ beautiful ⇒ uptight shy ⇒ helpless unpleasant ∧ uptight ∧ helpless ⇒ tidy beautiful ∧ shy ⇒ unpleasant unpleasant ∧ tro...
0
10
Facts: Batman is aggressive [PERIOD] Batman is ambitious [PERIOD] Batman is hilarious [PERIOD] Batman is exuberant [PERIOD] Rules: sensible [AND] stormy [IMPLY] charming [PERIOD] good [IMPLY] serious [PERIOD] stormy [AND] easy [AND] aggressive [IMPLY] calm [PERIOD] frail [IMPLY] exuberant [PERIOD] amused [AND] nervous...
Proof chain: exuberant ∧ aggressive ⇒ stormy Cannot apply rule “stormy ∧ easy ∧ aggressive ⇒ calm” because missing: easy. exuberant ⇒ homely ambitious ∧ homely ⇒ sensible exuberant ∧ aggressive ⇒ stormy sensible ∧ stormy ⇒ charming hilarious ∧ charming ⇒ bored aggressive ∧ bored ⇒ foolish foo...
0
10
Facts: Batman is crowded [PERIOD] Batman is wrong [PERIOD] Batman is cute [PERIOD] Batman is hilarious [PERIOD] Batman is worried [PERIOD] Rules: quaint [AND] reserved [IMPLY] sensible [PERIOD] gifted [AND] popular [AND] worried [IMPLY] impartial [PERIOD] worrisome [AND] talkative [AND] adorable [IMPLY] stupid [PERIOD...
Proof chain: cute ⇒ agreeable Cannot apply rule “agreeable ∧ careless ∧ impartial ⇒ gifted” because missing: careless, impartial. cute ⇒ old-fashioned old-fashioned ∧ crowded ⇒ stupid stupid ⇒ worrisome crowded ∧ wrong ∧ worrisome ⇒ popular cute ⇒ agreeable agreeable ⇒ versatile Cannot apply ...
0
10
Facts: Batman is strange [PERIOD] Batman is tender [PERIOD] Batman is wandering [PERIOD] Batman is difficult [PERIOD] Batman is cute [PERIOD] Rules: tame [AND] busy [AND] clumsy [IMPLY] old-fashioned [PERIOD] tender [AND] broad-minded [IMPLY] homely [PERIOD] fine [IMPLY] tender [PERIOD] tame [IMPLY] difficult [PERIOD]...
Proof chain: wandering ⇒ beautiful Cannot apply rule “homely ∧ difficult ∧ beautiful ⇒ busy” because missing: homely. Cannot apply rule “horrible ⇒ busy” because missing: horrible. difficult ⇒ dull Cannot apply rule “dull ∧ horrible ⇒ busy” because missing: horrible. difficult ⇒ dull dull ⇒ fine ...
0
10
Facts: Batman is thoughtless [PERIOD] Batman is comfortable [PERIOD] Batman is stormy [PERIOD] Rules: sensible [AND] difficult [IMPLY] distinct [PERIOD] distinct [AND] hypocritical [AND] curious [IMPLY] thoughtful [PERIOD] different [AND] victorious [IMPLY] thoughtless [PERIOD] stormy [AND] good [IMPLY] curious [PERIO...
Proof chain: stormy ⇒ good comfortable ⇒ pleasant Cannot apply rule “good ∧ pleasant ∧ excited ⇒ hypocritical” because missing: excited. comfortable ⇒ pleasant pleasant ∧ thoughtless ⇒ difficult Cannot apply rule “frightened ∧ difficult ⇒ hypocritical” because missing: frightened. Cannot apply rule...
0
10
Facts: Batman is fearless [PERIOD] Batman is wrong [PERIOD] Rules: blushing [AND] perfect [AND] helpful [IMPLY] modern [PERIOD] unpleasant [AND] strange [IMPLY] disobedient [PERIOD] unpleasant [AND] broad-minded [AND] witty [IMPLY] helpful [PERIOD] fearless [AND] thoughtful [IMPLY] talkative [PERIOD] hilarious [AND] a...
Proof chain: fearless ⇒ talkative talkative ⇒ unpleasant unpleasant ⇒ fancy fearless ⇒ talkative talkative ⇒ unpleasant fancy ∧ unpleasant ⇒ nervous wrong ⇒ helpful helpful ⇒ talented talented ⇒ frantic nervous ∧ frantic ⇒ broad-minded
1
10
Facts: Batman is victorious [PERIOD] Batman is light [PERIOD] Batman is tidy [PERIOD] Batman is comfortable [PERIOD] Batman is ugliest [PERIOD] Batman is serious [PERIOD] Batman is lonely [PERIOD] Rules: hurt [AND] tidy [IMPLY] tender [PERIOD] victorious [AND] messy [IMPLY] popular [PERIOD] ugliest [AND] messy [IMPLY]...
Proof chain: ugliest ⇒ pessimistic serious ⇒ shiny shiny ⇒ outstanding tidy ⇒ hurt hurt ∧ tidy ⇒ tender outstanding ∧ tender ∧ ugliest ⇒ friendly serious ⇒ shiny pessimistic ∧ friendly ∧ shiny ⇒ crowded serious ⇒ shiny Cannot apply rule “fine ∧ crowded ∧ shiny ⇒ sincere” because missing: f...
0
10
Facts: Rules: plain [IMPLY] bad-tempered [PERIOD] gifted [AND] amused [AND] frightened [IMPLY] disobedient [PERIOD] confused [IMPLY] plain [PERIOD] disobedient [AND] gifted [AND] plain [IMPLY] frightened [PERIOD] bad-tempered [AND] confused [AND] calm [IMPLY] plain [PERIOD] disobedient [IMPLY] plain [PERIOD] disobedie...
Proof chain: Cannot apply rule “plain ⇒ bad-tempered” because missing: plain. Cannot apply rule “disobedient ∧ cruel ∧ calm ⇒ bad-tempered” because missing: disobedient, cruel, calm. Cannot apply rule “frightened ∧ calm ∧ confused ⇒ bad-tempered” because missing: frightened, calm, confused. Cannot apply rul...
0
10
Facts: Batman is messy [PERIOD] Batman is light [PERIOD] Batman is ugliest [PERIOD] Batman is clean [PERIOD] Batman is ugly [PERIOD] Batman is jittery [PERIOD] Batman is quaint [PERIOD] Batman is difficult [PERIOD] Rules: unpleasant [AND] jittery [IMPLY] ugly [PERIOD] wide-eyed [AND] quaint [AND] tender [IMPLY] ambiti...
Proof chain: clean ⇒ worrisome jittery ⇒ reserved clean ⇒ worrisome reserved ∧ worrisome ⇒ calm clean ⇒ worrisome calm ∧ difficult ∧ worrisome ⇒ talkative messy ∧ talkative ∧ quaint ⇒ famous clean ⇒ worrisome famous ∧ worrisome ⇒ excited worrisome ∧ excited ⇒ gleaming
1
10
Facts: Batman is victorious [PERIOD] Batman is vivacious [PERIOD] Batman is tired [PERIOD] Batman is friendly [PERIOD] Rules: stormy [IMPLY] frail [PERIOD] charming [AND] easy [AND] polite [IMPLY] tired [PERIOD] dull [IMPLY] sensible [PERIOD] vivacious [IMPLY] polite [PERIOD] famous [AND] hurt [AND] gifted [IMPLY] fea...
Proof chain: Cannot apply rule “thoughtful ⇒ jittery” because missing: thoughtful. tired ⇒ old-fashioned vivacious ⇒ polite old-fashioned ∧ polite ∧ tired ⇒ modern Cannot apply rule “charming ∧ modern ∧ thoughtful ⇒ jittery” because missing: charming, thoughtful. Cannot apply rule “hurt ⇒ jittery” bec...
0
10
Facts: Batman is combative [PERIOD] Rules: excited [IMPLY] jittery [PERIOD] precious [AND] excited [IMPLY] uptight [PERIOD] proud [AND] elegant [AND] frail [IMPLY] talkative [PERIOD] clean [IMPLY] grumpy [PERIOD] jittery [AND] calm [IMPLY] distinct [PERIOD] fancy [AND] calm [IMPLY] grumpy [PERIOD] famous [AND] combati...
Proof chain: combative ⇒ elegant combative ⇒ elegant combative ⇒ elegant elegant ⇒ proud elegant ∧ proud ⇒ frail frail ⇒ calm elegant ∧ calm ⇒ elated elated ⇒ grumpy grumpy ⇒ precious precious ⇒ distinct
1
10
Facts: Batman is popular [PERIOD] Batman is nervous [PERIOD] Batman is talkative [PERIOD] Batman is outrageous [PERIOD] Rules: talkative [AND] serious [IMPLY] crowded [PERIOD] diplomatic [IMPLY] shy [PERIOD] combative [AND] shy [IMPLY] worried [PERIOD] condemned [IMPLY] zealous [PERIOD] supportive [AND] condemned [AND...
Proof chain: Cannot apply rule “supportive ∧ condemned ∧ popular ⇒ witty” because missing: supportive, condemned. outrageous ⇒ fragile Cannot apply rule “fragile ∧ long ⇒ witty” because missing: long. Cannot apply rule “shy ∧ worried ∧ serious ⇒ witty” because missing: shy, worried, serious. Cannot apply...
0
10
Facts: Batman is lonely [PERIOD] Batman is old-fashioned [PERIOD] Batman is rational [PERIOD] Batman is modern [PERIOD] Rules: confident [AND] unpleasant [IMPLY] tired [PERIOD] wrong [AND] ugly [AND] rational [IMPLY] thoughtful [PERIOD] nervous [IMPLY] wrong [PERIOD] lonely [IMPLY] tired [PERIOD] unpleasant [AND] slee...
Proof chain: lonely ⇒ tired modern ⇒ adorable adorable ⇒ average average ⇒ blushing modern ⇒ adorable adorable ∧ old-fashioned ⇒ unpleasant rational ⇒ stormy stormy ⇒ vivacious unpleasant ∧ vivacious ⇒ confident tired ∧ blushing ∧ confident ⇒ proud
1
10
Facts: Batman is quaint [PERIOD] Batman is worried [PERIOD] Rules: quaint [AND] gifted [IMPLY] vivacious [PERIOD] hypocritical [AND] gleaming [AND] beautiful [IMPLY] worried [PERIOD] quaint [IMPLY] serious [PERIOD] versatile [AND] serious [IMPLY] gifted [PERIOD] hypocritical [IMPLY] bossy [PERIOD] ugly [IMPLY] worried...
Proof chain: quaint ⇒ serious serious ∧ quaint ⇒ gleaming quaint ⇒ serious serious ∧ quaint ⇒ gleaming gleaming ⇒ foolish quaint ⇒ serious gleaming ∧ foolish ∧ serious ⇒ vivacious vivacious ⇒ shy quaint ⇒ serious shy ∧ serious ⇒ ambitious
1
10
Facts: Batman is blushing [PERIOD] Batman is exuberant [PERIOD] Batman is naughty [PERIOD] Rules: beautiful [AND] naughty [AND] elegant [IMPLY] gorgeous [PERIOD] ambitious [IMPLY] unpleasant [PERIOD] ambitious [AND] silly [IMPLY] embarrassed [PERIOD] jittery [AND] alert [AND] dull [IMPLY] intellectual [PERIOD] embarra...
Proof chain: naughty ∧ blushing ⇒ ambitious ambitious ∧ blushing ⇒ condemned Cannot apply rule “fine ∧ messy ∧ condemned ⇒ silly” because missing: fine, messy. Cannot apply rule “naughty ∧ alert ∧ worrisome ⇒ silly” because missing: alert, worrisome. blushing ⇒ jittery naughty ∧ blushing ⇒ ambitious ...
0
10
Facts: Batman is fragile [PERIOD] Batman is wrong [PERIOD] Batman is spotless [PERIOD] Batman is stupid [PERIOD] Batman is confident [PERIOD] Batman is difficult [PERIOD] Batman is comfortable [PERIOD] Batman is thoughtful [PERIOD] Rules: wandering [IMPLY] pessimistic [PERIOD] strange [IMPLY] pessimistic [PERIOD] tale...
Proof chain: difficult ⇒ silly Cannot apply rule “stubborn ∧ silly ⇒ outstanding” because missing: stubborn. difficult ⇒ silly wrong ∧ silly ∧ difficult ⇒ polite spotless ⇒ careless fragile ⇒ strange strange ⇒ pessimistic careless ∧ confident ∧ pessimistic ⇒ cruel Cannot apply rule “polite ∧ ...
0
10
Facts: Batman is serious [PERIOD] Rules: shiny [IMPLY] outstanding [PERIOD] diplomatic [AND] serious [AND] frightened [IMPLY] rational [PERIOD] thoughtful [AND] fine [IMPLY] wide-eyed [PERIOD] frightened [AND] serious [IMPLY] thoughtful [PERIOD] diplomatic [IMPLY] wide-eyed [PERIOD] shiny [IMPLY] fine [PERIOD] wide-ey...
Proof chain: serious ⇒ wide-eyed wide-eyed ⇒ thoughtful serious ⇒ shiny shiny ⇒ fine serious ⇒ wide-eyed wide-eyed ⇒ anxious serious ⇒ shiny shiny ⇒ fine anxious ∧ fine ⇒ diplomatic thoughtful ∧ fine ∧ diplomatic ⇒ rational
1
10
Facts: Batman is scared [PERIOD] Rules: supportive [IMPLY] anxious [PERIOD] victorious [AND] joyous [AND] troubled [IMPLY] gorgeous [PERIOD] gorgeous [IMPLY] supportive [PERIOD] anxious [AND] bored [AND] wrong [IMPLY] joyous [PERIOD] scared [IMPLY] supportive [PERIOD] troubled [IMPLY] supportive [PERIOD] wrong [AND] s...
Proof chain: scared ⇒ troubled scared ⇒ supportive supportive ⇒ anxious scared ⇒ supportive anxious ∧ supportive ⇒ gorgeous scared ⇒ supportive supportive ⇒ anxious anxious ⇒ joyous troubled ∧ gorgeous ∧ joyous ⇒ wrong wrong ⇒ bored
1
10
Facts: Batman is comfortable [PERIOD] Batman is gleaming [PERIOD] Batman is famous [PERIOD] Batman is joyous [PERIOD] Batman is pessimistic [PERIOD] Batman is gifted [PERIOD] Batman is polite [PERIOD] Batman is silly [PERIOD] Batman is mysterious [PERIOD] Batman is hilarious [PERIOD] Batman is agreeable [PERIOD] Batma...
Proof chain: Cannot apply rule “fancy ⇒ lucky” because missing: fancy. Cannot apply rule “famous ∧ ugly ∧ comfortable ⇒ lucky” because missing: ugly. mysterious ⇒ clean joyous ⇒ horrible horrible ∧ scared ⇒ foolish clean ∧ foolish ⇒ alert joyous ⇒ horrible horrible ∧ agreeable ⇒ talkative sil...
0
10
Facts: Batman is popular [PERIOD] Batman is helpless [PERIOD] Rules: clean [AND] fine [IMPLY] broad-minded [PERIOD] broad-minded [AND] glamorous [IMPLY] helpless [PERIOD] glamorous [IMPLY] attractive [PERIOD] bored [AND] attractive [AND] broad-minded [IMPLY] helpless [PERIOD] fine [AND] tense [IMPLY] clean [PERIOD] gl...
Proof chain: helpless ⇒ elated elated ⇒ clean helpless ∧ clean ⇒ bored bored ⇒ broad-minded helpless ⇒ elated elated ⇒ clean helpless ∧ clean ⇒ bored broad-minded ∧ bored ⇒ strange helpless ⇒ elated Cannot apply rule “strange ∧ tense ∧ elated ⇒ elegant” because missing: tense.
0
10
Facts: Batman is bored [PERIOD] Batman is confused [PERIOD] Batman is weary [PERIOD] Batman is exuberant [PERIOD] Batman is worried [PERIOD] Batman is stubborn [PERIOD] Rules: supportive [IMPLY] disgusted [PERIOD] friendly [AND] troubled [AND] impartial [IMPLY] confused [PERIOD] bored [IMPLY] loving [PERIOD] loving [A...
Proof chain: confused ⇒ impartial Cannot apply rule “ambitious ∧ impartial ⇒ supportive” because missing: ambitious. stubborn ⇒ reserved bored ⇒ victorious exuberant ⇒ ugly ugly ⇒ thoughtful victorious ∧ thoughtful ⇒ glamorous bored ⇒ victorious reserved ∧ glamorous ∧ victorious ⇒ sleepy C...
0
10
Facts: Batman is easy [PERIOD] Batman is muddy [PERIOD] Batman is gorgeous [PERIOD] Rules: muddy [IMPLY] average [PERIOD] excited [IMPLY] mean [PERIOD] calm [AND] tense [IMPLY] gifted [PERIOD] muddy [AND] gleaming [AND] gorgeous [IMPLY] agreeable [PERIOD] versatile [IMPLY] strange [PERIOD] gifted [IMPLY] embarrassed [...
Proof chain: easy ⇒ versatile versatile ⇒ intellectual Cannot apply rule “intellectual ∧ gifted ∧ shy ⇒ powerful” because missing: gifted, shy. muddy ⇒ average gorgeous ∧ average ∧ muddy ⇒ victorious victorious ∧ easy ⇒ worrisome Cannot apply rule “worrisome ∧ shy ∧ tense ⇒ powerful” because missin...
0
10
Facts: Batman is ugly [PERIOD] Batman is attentive [PERIOD] Batman is easy [PERIOD] Rules: old-fashioned [AND] lucky [AND] tense [IMPLY] combative [PERIOD] broad-minded [AND] easy [IMPLY] dishonest [PERIOD] good [IMPLY] shy [PERIOD] fine [IMPLY] shy [PERIOD] stormy [AND] confused [AND] vivacious [IMPLY] clean [PERIOD]...
Proof chain: ugly ⇒ lucky Cannot apply rule “old-fashioned ∧ lucky ∧ tense ⇒ combative” because missing: old-fashioned, tense. attentive ∧ ugly ⇒ good attentive ⇒ fine fine ⇒ fearless attentive ⇒ fine fearless ∧ fine ⇒ confused good ∧ confused ⇒ dishonest dishonest ⇒ cooperative Cannot app...
0
10
Facts: Batman is bored [PERIOD] Rules: impartial [AND] good [IMPLY] talented [PERIOD] bored [AND] distinct [AND] jittery [IMPLY] impartial [PERIOD] impartial [AND] messy [AND] good [IMPLY] bored [PERIOD] impartial [IMPLY] modern [PERIOD] friendly [AND] jittery [AND] talented [IMPLY] impartial [PERIOD] modern [AND] fri...
Proof chain: bored ⇒ talented talented ⇒ modern Cannot apply rule “modern ∧ friendly ∧ impartial ⇒ jittery” because missing: friendly, impartial. bored ⇒ talented Cannot apply rule “talented ∧ friendly ⇒ jittery” because missing: friendly. bored ⇒ talented talented ⇒ modern Cannot apply rule “mo...
0
10
Facts: Batman is crowded [PERIOD] Batman is difficult [PERIOD] Rules: thoughtful [AND] worried [AND] charming [IMPLY] gleaming [PERIOD] grumpy [AND] dull [AND] outrageous [IMPLY] strange [PERIOD] dull [AND] lonely [AND] outrageous [IMPLY] jittery [PERIOD] quaint [AND] outrageous [AND] beautiful [IMPLY] thoughtful [PER...
Proof chain: Cannot apply rule “thoughtful ∧ worried ∧ charming ⇒ gleaming” because missing: thoughtful, worried, charming. Cannot apply rule “stubborn ⇒ gleaming” because missing: stubborn. Cannot apply rule “jittery ⇒ gleaming” because missing: jittery. Cannot apply rule “popular ∧ bossy ⇒ gleaming” becau...
0
10
Facts: Batman is joyous [PERIOD] Batman is wrong [PERIOD] Rules: bossy [AND] wandering [AND] dull [IMPLY] innocent [PERIOD] polite [AND] plain [IMPLY] wandering [PERIOD] helpless [AND] joyous [IMPLY] polite [PERIOD] polite [IMPLY] bossy [PERIOD] wandering [AND] talented [AND] spotless [IMPLY] bossy [PERIOD] spotless [...
Proof chain: Cannot apply rule “stubborn ∧ plain ⇒ beautiful” because missing: stubborn, plain. Cannot apply rule “bossy ∧ polite ⇒ beautiful” because missing: bossy, polite. Cannot apply rule “plain ∧ dull ⇒ beautiful” because missing: plain, dull. Cannot apply rule “innocent ∧ stubborn ⇒ beautiful” becaus...
0
10
Facts: Batman is hurt [PERIOD] Batman is polite [PERIOD] Batman is wrong [PERIOD] Batman is inquisitive [PERIOD] Rules: rational [AND] quaint [AND] unpleasant [IMPLY] jittery [PERIOD] unpleasant [IMPLY] hurt [PERIOD] straightforward [AND] hurt [AND] enchanting [IMPLY] unpleasant [PERIOD] embarrassed [AND] wrong [IMPLY...
Proof chain: Cannot apply rule “quaint ∧ stubborn ∧ gorgeous ⇒ broad-minded” because missing: quaint, stubborn, gorgeous. hurt ⇒ joyous joyous ⇒ elegant elegant ⇒ unpleasant Cannot apply rule “good ∧ unpleasant ∧ wrong ⇒ broad-minded” because missing: good. Cannot apply rule “gorgeous ⇒ broad-minded” ...
0
10
Facts: Batman is ugly [PERIOD] Batman is clean [PERIOD] Batman is unpleasant [PERIOD] Batman is talkative [PERIOD] Batman is enchanting [PERIOD] Batman is helpless [PERIOD] Batman is talented [PERIOD] Batman is straightforward [PERIOD] Batman is charming [PERIOD] Rules: talented [AND] long [AND] clean [IMPLY] unpleasa...
Proof chain: talkative ⇒ disobedient Cannot apply rule “disobedient ∧ gorgeous ⇒ old-fashioned” because missing: gorgeous. clean ⇒ curious curious ∧ clean ⇒ tame Cannot apply rule “attentive ∧ tame ⇒ old-fashioned” because missing: attentive. clean ⇒ curious curious ∧ clean ⇒ tame unpleasant ⇒ i...
0
10
Facts: Batman is troubled [PERIOD] Batman is nervous [PERIOD] Batman is aggressive [PERIOD] Batman is helpful [PERIOD] Rules: powerful [AND] elegant [AND] agreeable [IMPLY] wrong [PERIOD] lonely [IMPLY] elegant [PERIOD] silly [IMPLY] helpful [PERIOD] agreeable [AND] gorgeous [AND] beautiful [IMPLY] troubled [PERIOD] a...
Proof chain: aggressive ∧ nervous ⇒ lonely helpful ⇒ agreeable helpful ∧ agreeable ⇒ powerful aggressive ∧ nervous ⇒ lonely lonely ⇒ elegant helpful ⇒ agreeable powerful ∧ elegant ∧ agreeable ⇒ wrong helpful ⇒ agreeable wrong ∧ agreeable ⇒ rational lonely ∧ rational ⇒ stubborn
1
10
Facts: Batman is elegant [PERIOD] Batman is foolish [PERIOD] Batman is smart [PERIOD] Batman is sensible [PERIOD] Batman is lonely [PERIOD] Batman is confident [PERIOD] Batman is gorgeous [PERIOD] Rules: disobedient [IMPLY] friendly [PERIOD] lonely [AND] tame [IMPLY] glamorous [PERIOD] homely [AND] busy [IMPLY] tame [...
Proof chain: lonely ⇒ broad-minded broad-minded ∧ lonely ∧ sensible ⇒ powerful gorgeous ⇒ wrong lonely ⇒ broad-minded broad-minded ∧ lonely ∧ sensible ⇒ powerful gorgeous ∧ foolish ∧ powerful ⇒ ugliest ugliest ∧ confident ⇒ tame powerful ∧ wrong ∧ tame ⇒ busy foolish ⇒ tender Cannot apply ...
0
10
Facts: Batman is tense [PERIOD] Rules: agreeable [AND] silly [AND] impartial [IMPLY] powerful [PERIOD] enchanting [AND] plain [AND] distinct [IMPLY] powerful [PERIOD] supportive [IMPLY] precious [PERIOD] helpful [AND] enchanting [AND] scared [IMPLY] inquisitive [PERIOD] enchanting [IMPLY] silly [PERIOD] tense [IMPLY] ...
Proof chain: tense ⇒ popular popular ⇒ impartial Cannot apply rule “agreeable ∧ silly ∧ impartial ⇒ powerful” because missing: agreeable, silly. Cannot apply rule “enchanting ∧ plain ∧ distinct ⇒ powerful” because missing: enchanting, plain, distinct. tense ⇒ popular popular ⇒ impartial Cannot appl...
0
10
Facts: Batman is tame [PERIOD] Rules: tame [IMPLY] tired [PERIOD] gifted [AND] horrible [IMPLY] famous [PERIOD] joyous [IMPLY] famous [PERIOD] gifted [AND] hilarious [AND] horrible [IMPLY] combative [PERIOD] famous [AND] horrible [IMPLY] rational [PERIOD] attentive [AND] tired [AND] joyous [IMPLY] careless [PERIOD] ra...
Proof chain: tame ⇒ tired tired ⇒ innocent tame ⇒ tired tired ⇒ innocent innocent ⇒ careless tame ⇒ tired tame ⇒ hilarious tired ∧ hilarious ⇒ attentive attentive ⇒ combative innocent ∧ careless ∧ combative ⇒ supportive
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Facts: Batman is calm [PERIOD] Rules: talkative [AND] fragile [IMPLY] wrong [PERIOD] sincere [AND] joyous [AND] frantic [IMPLY] worrisome [PERIOD] worrisome [AND] sincere [IMPLY] difficult [PERIOD] joyous [AND] wrong [AND] talkative [IMPLY] sincere [PERIOD] sincere [IMPLY] talkative [PERIOD] frantic [AND] difficult [I...
Proof chain: Cannot apply rule “worrisome ∧ sincere ⇒ difficult” because missing: worrisome, sincere. Cannot apply rule “sincere ∧ talkative ⇒ difficult” because missing: sincere, talkative. Cannot apply rule “wrong ∧ worrisome ∧ sincere ⇒ difficult” because missing: wrong, worrisome, sincere. calm ⇒ joyous...
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Facts: Batman is selfish [PERIOD] Batman is pleasant [PERIOD] Batman is different [PERIOD] Rules: selfish [IMPLY] lonely [PERIOD] troubled [IMPLY] easy [PERIOD] shiny [AND] serious [AND] different [IMPLY] disgusted [PERIOD] frail [AND] disgusted [AND] thoughtless [IMPLY] excited [PERIOD] strange [AND] intellectual [AN...
Proof chain: different ⇒ precious precious ⇒ troubled different ⇒ precious troubled ∧ precious ⇒ frail different ⇒ precious precious ⇒ troubled troubled ⇒ easy selfish ⇒ lonely easy ∧ lonely ⇒ thoughtless Cannot apply rule “frail ∧ disgusted ∧ thoughtless ⇒ excited” because missing: disgus...
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Facts: Batman is jittery [PERIOD] Batman is tender [PERIOD] Batman is confident [PERIOD] Batman is lucky [PERIOD] Batman is rude [PERIOD] Batman is cruel [PERIOD] Batman is charming [PERIOD] Batman is average [PERIOD] Rules: crowded [IMPLY] spotless [PERIOD] fine [IMPLY] rude [PERIOD] scared [IMPLY] broad-minded [PERI...
Proof chain: Cannot apply rule “joyous ∧ loving ∧ confident ⇒ scared” because missing: joyous, loving. Cannot apply rule “muddy ∧ lucky ∧ loving ⇒ scared” because missing: muddy, loving. charming ∧ lucky ⇒ easy easy ⇒ reserved reserved ∧ tender ⇒ crowded crowded ⇒ spotless charming ∧ lucky ⇒ easy ...
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Facts: Batman is clumsy [PERIOD] Batman is embarrassed [PERIOD] Batman is selfish [PERIOD] Rules: selfish [AND] victorious [IMPLY] inexpensive [PERIOD] wrong [AND] victorious [IMPLY] inexpensive [PERIOD] scared [AND] pleasant [AND] uptight [IMPLY] busy [PERIOD] selfish [IMPLY] foolish [PERIOD] pleasant [AND] scared [I...
Proof chain: embarrassed ⇒ hypocritical embarrassed ∧ selfish ∧ hypocritical ⇒ friendly embarrassed ⇒ hypocritical embarrassed ⇒ hypocritical embarrassed ∧ selfish ∧ hypocritical ⇒ friendly selfish ∧ embarrassed ∧ friendly ⇒ uptight uptight ⇒ victorious selfish ∧ victorious ⇒ inexpensive inex...
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Facts: Batman is vivacious [PERIOD] Batman is dull [PERIOD] Batman is weary [PERIOD] Batman is versatile [PERIOD] Batman is smart [PERIOD] Batman is cute [PERIOD] Batman is uptight [PERIOD] Rules: confident [AND] elegant [IMPLY] hilarious [PERIOD] naughty [AND] careless [IMPLY] weary [PERIOD] hilarious [AND] smart [IM...
Proof chain: dull ⇒ hilarious dull ⇒ hilarious versatile ⇒ foolish smart ⇒ muddy foolish ∧ muddy ⇒ glamorous cute ∧ hilarious ∧ glamorous ⇒ naughty hilarious ∧ naughty ⇒ elegant dull ⇒ hilarious versatile ∧ hilarious ⇒ ugly elegant ∧ ugly ⇒ intellectual
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Facts: Batman is confident [PERIOD] Rules: frail [AND] zealous [AND] bored [IMPLY] outrageous [PERIOD] mysterious [IMPLY] selfish [PERIOD] condemned [AND] blushing [AND] confident [IMPLY] frail [PERIOD] proud [AND] long [AND] condemned [IMPLY] charming [PERIOD] long [IMPLY] bored [PERIOD] confident [IMPLY] lucky [PERI...
Proof chain: Cannot apply rule “charming ∧ blushing ⇒ versatile” because missing: charming, blushing. confident ⇒ lucky confident ⇒ long confident ⇒ long long ⇒ bored lucky ∧ long ∧ bored ⇒ pessimistic Cannot apply rule “pessimistic ∧ outrageous ⇒ versatile” because missing: outrageous. confiden...
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Facts: Batman is homely [PERIOD] Batman is impatient [PERIOD] Batman is enchanting [PERIOD] Batman is busy [PERIOD] Batman is confused [PERIOD] Rules: witty [AND] helpful [IMPLY] broad-minded [PERIOD] witty [AND] stormy [AND] helpful [IMPLY] broad-minded [PERIOD] tame [IMPLY] impartial [PERIOD] rational [AND] ugly [AN...
Proof chain: busy ⇒ fine fine ∧ busy ⇒ ugly busy ⇒ fine impatient ∧ fine ⇒ witty Cannot apply rule “rational ∧ ugly ∧ witty ⇒ calm” because missing: rational. Cannot apply rule “elegant ⇒ calm” because missing: elegant. busy ⇒ fine fine ⇒ combative combative ⇒ gorgeous Cannot apply rule “g...
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Facts: Batman is polite [PERIOD] Batman is mysterious [PERIOD] Batman is bad-tempered [PERIOD] Batman is outrageous [PERIOD] Batman is horrible [PERIOD] Batman is exuberant [PERIOD] Rules: diplomatic [AND] polite [AND] horrible [IMPLY] supportive [PERIOD] careless [AND] helpless [IMPLY] average [PERIOD] horrible [AND]...
Proof chain: Cannot apply rule “enchanting ⇒ grumpy” because missing: enchanting. exuberant ⇒ jittery Cannot apply rule “enchanting ∧ jittery ∧ mysterious ⇒ grumpy” because missing: enchanting. exuberant ⇒ jittery jittery ∧ outrageous ⇒ helpless outrageous ∧ helpless ⇒ difficult horrible ⇒ good ...
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Facts: Batman is talented [PERIOD] Batman is frail [PERIOD] Batman is joyous [PERIOD] Batman is strange [PERIOD] Batman is precious [PERIOD] Batman is vivacious [PERIOD] Batman is gleaming [PERIOD] Rules: long [IMPLY] popular [PERIOD] famous [AND] sincere [IMPLY] gifted [PERIOD] famous [IMPLY] different [PERIOD] talen...
Proof chain: strange ⇒ stubborn precious ∧ stubborn ⇒ different vivacious ⇒ popular popular ⇒ pleasant different ∧ pleasant ⇒ clean clean ⇒ thoughtful frail ⇒ hypocritical thoughtful ∧ hypocritical ∧ strange ⇒ versatile versatile ⇒ intellectual intellectual ⇒ gorgeous
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Facts: Batman is exuberant [PERIOD] Batman is perfect [PERIOD] Batman is wide-eyed [PERIOD] Batman is hilarious [PERIOD] Rules: hilarious [AND] famous [AND] busy [IMPLY] thoughtless [PERIOD] mean [AND] famous [AND] thoughtless [IMPLY] perfect [PERIOD] perfect [IMPLY] busy [PERIOD] hilarious [AND] anxious [IMPLY] aggre...
Proof chain: perfect ⇒ busy perfect ⇒ busy wide-eyed ⇒ anxious hilarious ∧ anxious ⇒ aggressive busy ∧ aggressive ⇒ confident busy ∧ confident ⇒ zealous Cannot apply rule “mean ∧ zealous ∧ wide-eyed ⇒ wrong” because missing: mean. wide-eyed ⇒ anxious hilarious ∧ anxious ⇒ aggressive Cannot...
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Facts: Batman is easy [PERIOD] Batman is frightened [PERIOD] Batman is worried [PERIOD] Rules: confused [IMPLY] elated [PERIOD] cruel [AND] bad-tempered [AND] famous [IMPLY] silly [PERIOD] smart [AND] thoughtless [IMPLY] pessimistic [PERIOD] naughty [AND] stormy [AND] smart [IMPLY] proud [PERIOD] frightened [AND] rati...
Proof chain: frightened ⇒ gifted gifted ⇒ proud proud ∧ easy ⇒ cruel frightened ⇒ gifted gifted ⇒ proud proud ⇒ rational frightened ⇒ gifted gifted ⇒ proud frightened ∧ rational ∧ proud ⇒ tense cruel ∧ tense ⇒ stormy
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Facts: Batman is sincere [PERIOD] Batman is grumpy [PERIOD] Rules: crowded [AND] sincere [IMPLY] friendly [PERIOD] embarrassed [AND] sincere [AND] grumpy [IMPLY] gorgeous [PERIOD] modern [IMPLY] aggressive [PERIOD] embarrassed [AND] modern [IMPLY] grumpy [PERIOD] gorgeous [AND] talented [IMPLY] aggressive [PERIOD] tal...
Proof chain: Cannot apply rule “crowded ∧ sincere ⇒ friendly” because missing: crowded. grumpy ⇒ embarrassed embarrassed ∧ sincere ∧ grumpy ⇒ gorgeous grumpy ⇒ embarrassed embarrassed ∧ sincere ∧ grumpy ⇒ gorgeous gorgeous ∧ grumpy ⇒ talented gorgeous ∧ talented ⇒ aggressive Cannot apply rule “a...
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Facts: Batman is dull [PERIOD] Batman is bright [PERIOD] Rules: hurt [IMPLY] dull [PERIOD] horrible [AND] light [IMPLY] agreeable [PERIOD] bright [IMPLY] witty [PERIOD] mysterious [IMPLY] wide-eyed [PERIOD] light [IMPLY] witty [PERIOD] stupid [AND] victorious [IMPLY] old-fashioned [PERIOD] glamorous [IMPLY] ambitious ...
Proof chain: bright ⇒ witty witty ⇒ elegant bright ⇒ witty elegant ∧ witty ⇒ talkative bright ⇒ witty witty ⇒ elegant elegant ⇒ shiny shiny ⇒ impartial talkative ∧ impartial ⇒ crowded crowded ⇒ old-fashioned
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Facts: Batman is agreeable [PERIOD] Batman is mysterious [PERIOD] Batman is long [PERIOD] Rules: pessimistic [IMPLY] precious [PERIOD] wide-eyed [AND] broad-minded [AND] old-fashioned [IMPLY] worrisome [PERIOD] stubborn [AND] average [IMPLY] calm [PERIOD] agreeable [AND] long [IMPLY] old-fashioned [PERIOD] pessimistic...
Proof chain: agreeable ⇒ old-fashioned old-fashioned ⇒ wide-eyed agreeable ⇒ old-fashioned old-fashioned ⇒ gifted gifted ⇒ pessimistic wide-eyed ∧ pessimistic ⇒ ambitious agreeable ⇒ old-fashioned old-fashioned ⇒ famous agreeable ∧ ambitious ∧ famous ⇒ selfish selfish ⇒ stormy
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Facts: Rules: helpful [AND] supportive [AND] ugliest [IMPLY] light [PERIOD] cute [IMPLY] modern [PERIOD] modern [AND] shiny [IMPLY] ugliest [PERIOD] sincere [AND] attentive [IMPLY] thoughtless [PERIOD] cruel [AND] tired [AND] clumsy [IMPLY] inquisitive [PERIOD] mean [AND] modern [IMPLY] cute [PERIOD] mean [IMPLY] joyo...
Proof chain: Cannot apply rule “cruel ∧ tired ∧ clumsy ⇒ inquisitive” because missing: cruel, tired, clumsy. Cannot apply rule “ugliest ∧ elated ⇒ inquisitive” because missing: ugliest, elated. Cannot apply rule “famous ⇒ inquisitive” because missing: famous. Cannot apply rule “supportive ∧ cruel ∧ clumsy ⇒...
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Facts: Batman is joyous [PERIOD] Batman is tender [PERIOD] Rules: amused [AND] versatile [IMPLY] wandering [PERIOD] pessimistic [AND] pleasant [AND] versatile [IMPLY] amused [PERIOD] naughty [IMPLY] scared [PERIOD] rude [IMPLY] rational [PERIOD] tender [AND] amused [AND] perfect [IMPLY] pleasant [PERIOD] pessimistic [...
Proof chain: joyous ⇒ horrible Cannot apply rule “horrible ∧ versatile ⇒ perfect” because missing: versatile. tender ∧ joyous ⇒ naughty naughty ⇒ scared Cannot apply rule “scared ∧ bad-tempered ⇒ perfect” because missing: bad-tempered. tender ∧ joyous ⇒ naughty naughty ⇒ scared joyous ⇒ horrible...
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Facts: Batman is adorable [PERIOD] Batman is grumpy [PERIOD] Batman is stubborn [PERIOD] Batman is wandering [PERIOD] Batman is jittery [PERIOD] Batman is serious [PERIOD] Batman is exuberant [PERIOD] Rules: nervous [AND] precious [IMPLY] rude [PERIOD] beautiful [AND] disgusted [IMPLY] wandering [PERIOD] impartial [AN...
Proof chain: stubborn ⇒ old-fashioned old-fashioned ⇒ disgusted stubborn ⇒ perfect perfect ∧ serious ⇒ innocent disgusted ∧ jittery ∧ innocent ⇒ naughty serious ⇒ beautiful beautiful ⇒ long long ⇒ rude rude ⇒ aggressive naughty ∧ aggressive ⇒ nervous
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Facts: Batman is cruel [PERIOD] Batman is distinct [PERIOD] Batman is tired [PERIOD] Batman is sensible [PERIOD] Rules: supportive [AND] wrong [IMPLY] dishonest [PERIOD] sincere [AND] famous [IMPLY] supportive [PERIOD] cruel [AND] famous [AND] distinct [IMPLY] old-fashioned [PERIOD] wrong [AND] cruel [IMPLY] fragile [...
Proof chain: cruel ⇒ pleasant distinct ⇒ wrong wrong ⇒ famous Cannot apply rule “anxious ∧ pleasant ∧ famous ⇒ straightforward” because missing: anxious. cruel ∧ distinct ⇒ inquisitive inquisitive ⇒ supportive distinct ⇒ wrong supportive ∧ wrong ⇒ dishonest distinct ⇒ wrong Cannot apply ru...
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Facts: Batman is vivacious [PERIOD] Rules: stubborn [AND] horrible [AND] selfish [IMPLY] dull [PERIOD] stupid [IMPLY] joyous [PERIOD] embarrassed [IMPLY] dull [PERIOD] stupid [AND] horrible [AND] stubborn [IMPLY] embarrassed [PERIOD] embarrassed [AND] selfish [AND] horrible [IMPLY] dull [PERIOD] dull [IMPLY] stubborn ...
Proof chain: vivacious ⇒ selfish Cannot apply rule “stubborn ∧ horrible ∧ selfish ⇒ dull” because missing: stubborn, horrible. Cannot apply rule “embarrassed ⇒ dull” because missing: embarrassed. vivacious ⇒ selfish Cannot apply rule “embarrassed ∧ selfish ∧ horrible ⇒ dull” because missing: embarrassed,...
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