Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is alert [PERIOD] Batman is homely [PERIOD] Batman is messy [PERIOD] Rules: dull [AND] frail [AND] combative [IMPLY] selfish [PERIOD] dull [IMPLY] selfish [PERIOD] dull [IMPLY] modern [PERIOD] modern [IMPLY] alert [PERIOD] thoughtful [AND] selfish [AND] elegant [IMPLY] homely [PERIOD] condemned [AND] ale...
Proof chain: alert ∧ homely ⇒ thoughtful alert ∧ homely ⇒ thoughtful thoughtful ⇒ combative combative ⇒ modern homely ∧ thoughtful ∧ modern ⇒ elegant elegant ⇒ frail homely ∧ frail ⇒ vivacious alert ∧ homely ⇒ thoughtful thoughtful ⇒ combative combative ⇒ modern vivacious ∧ modern ⇒ gle...
1
11
Facts: Batman is calm [PERIOD] Rules: outrageous [AND] disgusted [AND] shiny [IMPLY] straightforward [PERIOD] outrageous [IMPLY] attractive [PERIOD] shiny [IMPLY] scared [PERIOD] ambitious [AND] disgusted [AND] outrageous [IMPLY] calm [PERIOD] ambitious [AND] attractive [AND] thoughtless [IMPLY] shiny [PERIOD] difficu...
Proof chain: calm ⇒ difficult calm ⇒ bored bored ⇒ ambitious calm ⇒ bored bored ⇒ ambitious ambitious ⇒ straightforward straightforward ⇒ attractive calm ⇒ difficult difficult ⇒ thoughtless ambitious ∧ attractive ∧ thoughtless ⇒ shiny difficult ∧ shiny ⇒ dishonest
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11
Facts: Batman is stubborn [PERIOD] Batman is combative [PERIOD] Batman is pessimistic [PERIOD] Batman is lonely [PERIOD] Rules: distinct [AND] wide-eyed [AND] attentive [IMPLY] hilarious [PERIOD] fine [AND] attentive [AND] ugliest [IMPLY] horrible [PERIOD] attentive [IMPLY] ugliest [PERIOD] fine [AND] tense [AND] ugli...
Proof chain: stubborn ⇒ tense lonely ∧ tense ⇒ grumpy grumpy ⇒ attentive stubborn ⇒ tense combative ∧ stubborn ∧ tense ⇒ ugliest Cannot apply rule “fine ∧ attentive ∧ ugliest ⇒ horrible” because missing: fine. stubborn ⇒ tense lonely ∧ tense ⇒ grumpy grumpy ⇒ sensible Cannot apply rule “fi...
0
11
Facts: Batman is ugliest [PERIOD] Batman is popular [PERIOD] Batman is thoughtless [PERIOD] Batman is proud [PERIOD] Batman is reserved [PERIOD] Batman is courageous [PERIOD] Batman is attentive [PERIOD] Batman is curious [PERIOD] Rules: diplomatic [IMPLY] vivacious [PERIOD] difficult [AND] ugliest [IMPLY] popular [PE...
Proof chain: popular ∧ curious ∧ ugliest ⇒ tense tense ∧ curious ⇒ alert alert ⇒ dishonest popular ∧ curious ∧ ugliest ⇒ tense tense ∧ curious ⇒ alert proud ∧ dishonest ∧ alert ⇒ diplomatic popular ⇒ vivacious attentive ⇒ messy vivacious ∧ messy ⇒ horrible horrible ⇒ difficult Cannot ap...
0
11
Facts: Batman is frightened [PERIOD] Rules: talkative [AND] frightened [AND] alert [IMPLY] cute [PERIOD] vivacious [AND] nervous [IMPLY] average [PERIOD] average [IMPLY] uptight [PERIOD] average [AND] uptight [IMPLY] weary [PERIOD] cute [IMPLY] shy [PERIOD] alert [AND] nervous [IMPLY] frightened [PERIOD] homely [IMPLY...
Proof chain: frightened ⇒ gorgeous gorgeous ⇒ modern frightened ⇒ gorgeous gorgeous ⇒ modern modern ⇒ tired modern ∧ tired ⇒ cute frightened ⇒ gorgeous gorgeous ⇒ modern modern ⇒ tired tired ⇒ nervous cute ∧ nervous ⇒ uptight
1
11
Facts: Batman is plain [PERIOD] Batman is hilarious [PERIOD] Batman is dull [PERIOD] Rules: stupid [AND] excited [AND] hilarious [IMPLY] plain [PERIOD] ugliest [AND] joyous [AND] gorgeous [IMPLY] hilarious [PERIOD] nervous [AND] dull [AND] vivacious [IMPLY] frail [PERIOD] naughty [AND] plain [AND] stupid [IMPLY] frail...
Proof chain: hilarious ⇒ combative hilarious ⇒ vivacious vivacious ⇒ naughty dull ⇒ joyous hilarious ⇒ vivacious joyous ∧ vivacious ⇒ stupid naughty ∧ plain ∧ stupid ⇒ frail dull ∧ combative ∧ frail ⇒ clumsy hilarious ⇒ vivacious vivacious ⇒ naughty clumsy ∧ hilarious ∧ naughty ⇒ tired
1
11
Facts: Batman is lucky [PERIOD] Rules: foolish [AND] frantic [AND] tidy [IMPLY] thoughtful [PERIOD] plain [IMPLY] lonely [PERIOD] worried [AND] lucky [IMPLY] elegant [PERIOD] helpful [AND] tidy [AND] foolish [IMPLY] wandering [PERIOD] shiny [IMPLY] tidy [PERIOD] lucky [AND] plain [IMPLY] worried [PERIOD] good [AND] th...
Proof chain: Cannot apply rule “worried ∧ lucky ⇒ elegant” because missing: worried. Cannot apply rule “shiny ∧ helpful ∧ tidy ⇒ elegant” because missing: shiny, helpful, tidy. Cannot apply rule “impartial ⇒ elegant” because missing: impartial. lucky ⇒ lonely lonely ⇒ ugliest lucky ⇒ lonely lonely ...
0
11
Facts: Batman is silly [PERIOD] Batman is aggressive [PERIOD] Rules: polite [AND] worrisome [AND] frantic [IMPLY] wandering [PERIOD] agreeable [IMPLY] naughty [PERIOD] broad-minded [AND] homely [AND] agreeable [IMPLY] stubborn [PERIOD] reserved [IMPLY] old-fashioned [PERIOD] straightforward [AND] reserved [AND] stubbo...
Proof chain: Cannot apply rule “polite ∧ frail ⇒ worrisome” because missing: polite, frail. silly ⇒ reserved reserved ⇒ old-fashioned Cannot apply rule “old-fashioned ∧ thoughtless ⇒ worrisome” because missing: thoughtless. silly ⇒ reserved Cannot apply rule “homely ∧ frantic ∧ reserved ⇒ worrisome” b...
0
11
Facts: Batman is frantic [PERIOD] Batman is distinct [PERIOD] Batman is impartial [PERIOD] Batman is friendly [PERIOD] Rules: worried [AND] selfish [IMPLY] excited [PERIOD] amused [AND] lucky [IMPLY] difficult [PERIOD] tender [AND] crowded [IMPLY] frightened [PERIOD] difficult [AND] strange [AND] talkative [IMPLY] amb...
Proof chain: distinct ⇒ cute friendly ∧ cute ∧ frantic ⇒ frightened frightened ⇒ crowded distinct ⇒ cute friendly ∧ cute ∧ frantic ⇒ frightened distinct ⇒ cute friendly ∧ cute ∧ frantic ⇒ frightened frightened ⇒ crowded frightened ∧ crowded ∧ impartial ⇒ wandering wandering ∧ impartial ⇒ s...
0
11
Facts: Batman is cute [PERIOD] Batman is innocent [PERIOD] Batman is grumpy [PERIOD] Batman is old-fashioned [PERIOD] Batman is busy [PERIOD] Rules: uptight [AND] confident [AND] modern [IMPLY] scared [PERIOD] old-fashioned [AND] gleaming [AND] confident [IMPLY] excited [PERIOD] innocent [AND] confident [AND] hilariou...
Proof chain: busy ⇒ confident Cannot apply rule “old-fashioned ∧ gleaming ∧ confident ⇒ excited” because missing: gleaming. busy ⇒ confident confident ⇒ modern busy ⇒ confident Cannot apply rule “modern ∧ confident ∧ helpless ⇒ excited” because missing: helpless. Cannot apply rule “grumpy ∧ helples...
0
11
Facts: Batman is perfect [PERIOD] Batman is bored [PERIOD] Rules: rational [AND] perfect [AND] pessimistic [IMPLY] distinct [PERIOD] sleepy [IMPLY] plain [PERIOD] sleepy [IMPLY] lucky [PERIOD] unpleasant [AND] wandering [AND] lucky [IMPLY] loving [PERIOD] sleepy [AND] bored [IMPLY] lonely [PERIOD] pessimistic [AND] cl...
Proof chain: bored ⇒ sleepy bored ⇒ sleepy sleepy ⇒ lucky bored ⇒ sleepy sleepy ⇒ plain lucky ∧ plain ⇒ unpleasant sleepy ∧ unpleasant ⇒ loving Cannot apply rule “perfect ∧ outrageous ∧ loving ⇒ clean” because missing: outrageous. bored ⇒ sleepy sleepy ⇒ lucky Cannot apply rule “rationa...
0
11
Facts: Batman is muddy [PERIOD] Batman is easy [PERIOD] Rules: naughty [IMPLY] quaint [PERIOD] innocent [AND] bossy [AND] glamorous [IMPLY] naughty [PERIOD] stupid [AND] adorable [IMPLY] hilarious [PERIOD] naughty [AND] silly [IMPLY] friendly [PERIOD] careless [IMPLY] bossy [PERIOD] naughty [AND] embarrassed [IMPLY] a...
Proof chain: easy ⇒ inquisitive inquisitive ⇒ dull easy ⇒ inquisitive inquisitive ∧ muddy ⇒ curious dull ∧ curious ⇒ reserved easy ⇒ inquisitive inquisitive ⇒ dull easy ⇒ inquisitive dull ∧ inquisitive ⇒ careless careless ⇒ hilarious reserved ∧ hilarious ⇒ witty
1
11
Facts: Batman is uptight [PERIOD] Batman is homely [PERIOD] Batman is elegant [PERIOD] Rules: homely [AND] powerful [AND] crowded [IMPLY] ugliest [PERIOD] anxious [AND] pessimistic [AND] victorious [IMPLY] courageous [PERIOD] shy [AND] powerful [IMPLY] witty [PERIOD] innocent [AND] shiny [IMPLY] frantic [PERIOD] homel...
Proof chain: uptight ⇒ crowded uptight ⇒ frantic crowded ∧ frantic ⇒ courageous uptight ⇒ crowded crowded ⇒ innocent uptight ⇒ crowded uptight ⇒ frantic crowded ∧ frantic ⇒ courageous courageous ∧ uptight ⇒ lucky courageous ∧ innocent ∧ lucky ⇒ victorious Cannot apply rule “troubled ∧ v...
0
11
Facts: Batman is helpless [PERIOD] Batman is tame [PERIOD] Rules: clean [IMPLY] tense [PERIOD] wrong [AND] talkative [IMPLY] muddy [PERIOD] straightforward [IMPLY] sincere [PERIOD] long [AND] calm [IMPLY] hypocritical [PERIOD] helpless [IMPLY] hypocritical [PERIOD] calm [IMPLY] thoughtless [PERIOD] helpless [AND] plea...
Proof chain: helpless ⇒ bright Cannot apply rule “bright ∧ straightforward ∧ elegant ⇒ strange” because missing: straightforward, elegant. tame ⇒ selfish helpless ⇒ bright bright ⇒ zealous Cannot apply rule “selfish ∧ elegant ∧ zealous ⇒ strange” because missing: elegant. helpless ⇒ bright brigh...
0
11
Facts: Batman is comfortable [PERIOD] Batman is curious [PERIOD] Batman is outstanding [PERIOD] Rules: victorious [AND] supportive [AND] bright [IMPLY] easy [PERIOD] straightforward [AND] messy [AND] easy [IMPLY] diplomatic [PERIOD] messy [AND] attractive [AND] frightened [IMPLY] long [PERIOD] curious [AND] joyous [AN...
Proof chain: outstanding ⇒ fine fine ⇒ easy easy ⇒ grumpy Cannot apply rule “modern ∧ grumpy ∧ outrageous ⇒ clean” because missing: modern, outrageous. curious ⇒ mysterious Cannot apply rule “mysterious ∧ tidy ⇒ clean” because missing: tidy. outstanding ⇒ fine outstanding ⇒ fine fine ⇒ easy ...
0
11
Facts: Batman is innocent [PERIOD] Batman is lucky [PERIOD] Batman is cooperative [PERIOD] Batman is ambitious [PERIOD] Rules: naughty [AND] messy [AND] rude [IMPLY] troubled [PERIOD] mean [IMPLY] troubled [PERIOD] light [AND] tame [IMPLY] versatile [PERIOD] versatile [IMPLY] cooperative [PERIOD] tame [AND] anxious [A...
Proof chain: ambitious ⇒ tender tender ⇒ vivacious lucky ⇒ versatile versatile ⇒ messy messy ⇒ thoughtless thoughtless ⇒ clean vivacious ∧ clean ⇒ tidy lucky ⇒ versatile versatile ⇒ messy messy ⇒ thoughtless tidy ∧ thoughtless ∧ ambitious ⇒ beautiful
1
11
Facts: Batman is wrong [PERIOD] Batman is easy [PERIOD] Batman is witty [PERIOD] Batman is rational [PERIOD] Batman is amused [PERIOD] Rules: hypocritical [AND] tender [AND] lucky [IMPLY] selfish [PERIOD] selfish [IMPLY] lucky [PERIOD] attentive [IMPLY] courageous [PERIOD] mysterious [AND] witty [AND] elegant [IMPLY] ...
Proof chain: easy ⇒ selfish selfish ⇒ uptight witty ∧ rational ∧ uptight ⇒ frightened easy ⇒ selfish selfish ⇒ lucky lucky ⇒ intellectual frightened ∧ wrong ∧ intellectual ⇒ reserved easy ⇒ selfish selfish ⇒ uptight witty ∧ rational ∧ uptight ⇒ frightened reserved ∧ frightened ⇒ inquisi...
1
11
Facts: Batman is muddy [PERIOD] Rules: courageous [AND] exuberant [IMPLY] scared [PERIOD] exuberant [IMPLY] condemned [PERIOD] different [IMPLY] muddy [PERIOD] scared [AND] bad-tempered [AND] condemned [IMPLY] different [PERIOD] exuberant [AND] muddy [AND] mysterious [IMPLY] comfortable [PERIOD] clumsy [AND] glamorous...
Proof chain: muddy ⇒ clumsy clumsy ⇒ courageous Cannot apply rule “courageous ∧ exuberant ⇒ scared” because missing: exuberant. muddy ⇒ clumsy clumsy ⇒ courageous Cannot apply rule “courageous ∧ friendly ∧ comfortable ⇒ scared” because missing: friendly, comfortable. muddy ⇒ clumsy muddy ⇒ clums...
0
11
Facts: Batman is difficult [PERIOD] Batman is plain [PERIOD] Batman is pleasant [PERIOD] Batman is distinct [PERIOD] Batman is friendly [PERIOD] Batman is modern [PERIOD] Batman is crowded [PERIOD] Batman is bossy [PERIOD] Batman is messy [PERIOD] Rules: attentive [IMPLY] ambitious [PERIOD] modern [AND] curious [AND] ...
Proof chain: friendly ⇒ perfect bossy ∧ perfect ⇒ impatient distinct ⇒ ambitious ambitious ∧ distinct ⇒ bright friendly ⇒ perfect distinct ∧ perfect ∧ crowded ⇒ weary weary ∧ friendly ⇒ clean bossy ⇒ attentive attentive ⇒ uptight clean ∧ uptight ⇒ quaint impatient ∧ bright ∧ quaint ⇒ cu...
1
11
Facts: Batman is impatient [PERIOD] Batman is stubborn [PERIOD] Batman is jittery [PERIOD] Rules: plain [AND] impatient [IMPLY] precious [PERIOD] worried [AND] precious [AND] jittery [IMPLY] frantic [PERIOD] bored [AND] worried [IMPLY] impatient [PERIOD] talented [AND] bored [AND] impatient [IMPLY] stubborn [PERIOD] j...
Proof chain: stubborn ⇒ worried jittery ⇒ precious stubborn ⇒ worried jittery ⇒ precious worried ∧ precious ∧ jittery ⇒ frantic worried ∧ precious ∧ frantic ⇒ plain stubborn ⇒ worried jittery ⇒ precious worried ∧ precious ∧ jittery ⇒ frantic stubborn ⇒ talented plain ∧ frantic ∧ talente...
1
11
Facts: Batman is condemned [PERIOD] Batman is victorious [PERIOD] Batman is careless [PERIOD] Batman is bored [PERIOD] Batman is disobedient [PERIOD] Rules: strange [AND] condemned [AND] fragile [IMPLY] thoughtful [PERIOD] bad-tempered [AND] blushing [AND] thoughtful [IMPLY] helpful [PERIOD] bored [IMPLY] condemned [P...
Proof chain: disobedient ⇒ homely homely ⇒ helpful disobedient ⇒ homely homely ⇒ bad-tempered victorious ∧ bad-tempered ∧ condemned ⇒ naughty naughty ∧ bored ⇒ glamorous disobedient ⇒ homely homely ⇒ helpful glamorous ∧ helpful ⇒ bossy helpful ∧ bossy ∧ careless ⇒ gorgeous Cannot apply ...
0
11
Facts: Batman is muddy [PERIOD] Rules: selfish [AND] clumsy [IMPLY] naughty [PERIOD] wrong [AND] impartial [IMPLY] sleepy [PERIOD] muddy [IMPLY] naughty [PERIOD] sleepy [AND] careless [AND] aggressive [IMPLY] impartial [PERIOD] sleepy [IMPLY] broad-minded [PERIOD] easy [AND] lucky [AND] tame [IMPLY] difficult [PERIOD]...
Proof chain: muddy ⇒ mysterious mysterious ⇒ wrong muddy ⇒ naughty naughty ⇒ impartial wrong ∧ impartial ⇒ sleepy sleepy ⇒ careless muddy ⇒ naughty naughty ⇒ impartial impartial ⇒ diplomatic diplomatic ⇒ clumsy careless ∧ clumsy ⇒ blushing
1
11
Facts: Batman is adorable [PERIOD] Batman is charming [PERIOD] Rules: charming [IMPLY] supportive [PERIOD] charming [AND] reserved [AND] adorable [IMPLY] famous [PERIOD] bossy [AND] adorable [IMPLY] reserved [PERIOD] reserved [AND] stupid [IMPLY] supportive [PERIOD] bossy [AND] friendly [AND] charming [IMPLY] stupid [...
Proof chain: charming ⇒ different different ⇒ bossy charming ⇒ different different ⇒ bossy charming ⇒ supportive charming ∧ supportive ⇒ reserved charming ⇒ different different ⇒ bossy bossy ⇒ pessimistic bossy ∧ reserved ∧ pessimistic ⇒ friendly bossy ∧ friendly ∧ charming ⇒ stupid
1
11
Facts: Batman is friendly [PERIOD] Batman is confident [PERIOD] Batman is light [PERIOD] Batman is proud [PERIOD] Batman is clumsy [PERIOD] Batman is lucky [PERIOD] Batman is naughty [PERIOD] Batman is hypocritical [PERIOD] Rules: disobedient [IMPLY] confident [PERIOD] disobedient [AND] lucky [AND] unpleasant [IMPLY] ...
Proof chain: confident ⇒ agreeable friendly ∧ agreeable ⇒ lonely lonely ⇒ weary confident ⇒ agreeable friendly ∧ agreeable ⇒ lonely light ∧ lonely ⇒ unpleasant unpleasant ⇒ stormy clumsy ⇒ combative stormy ∧ combative ∧ proud ⇒ thoughtless proud ⇒ busy weary ∧ thoughtless ∧ busy ⇒ easy
1
11
Facts: Batman is bad-tempered [PERIOD] Batman is victorious [PERIOD] Rules: witty [AND] shiny [IMPLY] attentive [PERIOD] hurt [IMPLY] attentive [PERIOD] attentive [AND] victorious [AND] charming [IMPLY] fragile [PERIOD] shy [AND] shiny [AND] frightened [IMPLY] mysterious [PERIOD] cute [IMPLY] victorious [PERIOD] tidy ...
Proof chain: victorious ⇒ mysterious mysterious ⇒ talkative talkative ⇒ impartial victorious ⇒ bossy bossy ⇒ zealous impartial ∧ zealous ⇒ attentive victorious ⇒ bossy victorious ⇒ mysterious mysterious ⇒ talkative bossy ∧ talkative ⇒ shiny victorious ∧ attentive ∧ shiny ⇒ hurt
1
11
Facts: Batman is shiny [PERIOD] Batman is elated [PERIOD] Batman is lonely [PERIOD] Batman is difficult [PERIOD] Rules: pessimistic [AND] naughty [IMPLY] weary [PERIOD] lonely [AND] naughty [AND] wandering [IMPLY] weary [PERIOD] troubled [IMPLY] lonely [PERIOD] gleaming [AND] elated [IMPLY] shiny [PERIOD] gleaming [AN...
Proof chain: lonely ⇒ naughty difficult ∧ naughty ⇒ weary lonely ⇒ naughty difficult ∧ naughty ⇒ weary weary ⇒ combative weary ∧ combative ∧ elated ⇒ embarrassed embarrassed ⇒ homely lonely ⇒ naughty difficult ∧ naughty ⇒ weary weary ⇒ combative homely ∧ combative ⇒ gleaming
1
11
Facts: Batman is versatile [PERIOD] Rules: cruel [IMPLY] supportive [PERIOD] confused [AND] fancy [AND] bad-tempered [IMPLY] cruel [PERIOD] supportive [AND] shy [AND] famous [IMPLY] frightened [PERIOD] confused [AND] glamorous [AND] diplomatic [IMPLY] vivacious [PERIOD] courageous [AND] sensible [IMPLY] elegant [PERIO...
Proof chain: versatile ⇒ glamorous glamorous ⇒ confused confused ⇒ supportive versatile ⇒ glamorous glamorous ⇒ long versatile ⇒ glamorous glamorous ⇒ courageous versatile ⇒ glamorous glamorous ⇒ confused courageous ∧ confused ⇒ lonely supportive ∧ long ∧ lonely ⇒ bad-tempered
1
11
Facts: Batman is elegant [PERIOD] Rules: gorgeous [AND] wide-eyed [AND] bright [IMPLY] difficult [PERIOD] zealous [AND] mean [IMPLY] outrageous [PERIOD] wandering [IMPLY] zealous [PERIOD] inexpensive [AND] dull [IMPLY] difficult [PERIOD] stubborn [IMPLY] wandering [PERIOD] mean [AND] pessimistic [IMPLY] elegant [PERIO...
Proof chain: elegant ⇒ inexpensive elegant ⇒ inexpensive inexpensive ⇒ broad-minded inexpensive ∧ broad-minded ⇒ mean elegant ⇒ inexpensive elegant ⇒ inexpensive inexpensive ⇒ broad-minded inexpensive ∧ broad-minded ⇒ pessimistic elegant ⇒ inexpensive inexpensive ⇒ broad-minded mean ∧ p...
1
11
Facts: Batman is thoughtful [PERIOD] Batman is helpless [PERIOD] Rules: ugliest [AND] outrageous [IMPLY] condemned [PERIOD] curious [IMPLY] elegant [PERIOD] thoughtful [IMPLY] elegant [PERIOD] wandering [AND] hurt [AND] light [IMPLY] helpless [PERIOD] zealous [IMPLY] condemned [PERIOD] thoughtful [AND] elegant [IMPLY]...
Proof chain: thoughtful ⇒ elegant elegant ⇒ hurt thoughtful ⇒ elegant thoughtful ∧ elegant ⇒ ugliest thoughtful ⇒ elegant elegant ⇒ hurt hurt ⇒ outrageous ugliest ∧ outrageous ⇒ condemned hurt ∧ condemned ∧ thoughtful ⇒ disgusted thoughtful ⇒ elegant disgusted ∧ elegant ⇒ fearless
1
11
Facts: Batman is fearless [PERIOD] Batman is homely [PERIOD] Batman is selfish [PERIOD] Batman is dull [PERIOD] Batman is aggressive [PERIOD] Rules: dull [IMPLY] aggressive [PERIOD] homely [AND] cruel [AND] horrible [IMPLY] weary [PERIOD] ugly [AND] fearless [IMPLY] selfish [PERIOD] helpless [AND] fearless [AND] elega...
Proof chain: Cannot apply rule “confused ∧ fearless ⇒ ugly” because missing: confused. fearless ⇒ unpleasant fearless ∧ unpleasant ∧ selfish ⇒ agreeable homely ⇒ weary weary ⇒ elegant Cannot apply rule “agreeable ∧ elegant ∧ confused ⇒ ugly” because missing: confused. fearless ⇒ unpleasant unple...
0
11
Facts: Batman is versatile [PERIOD] Batman is average [PERIOD] Batman is reserved [PERIOD] Rules: gorgeous [AND] hurt [IMPLY] tame [PERIOD] talented [AND] anxious [AND] charming [IMPLY] reserved [PERIOD] beautiful [AND] confident [AND] average [IMPLY] hurt [PERIOD] charming [AND] long [AND] reserved [IMPLY] glamorous ...
Proof chain: reserved ⇒ tame tame ⇒ impatient reserved ⇒ tame average ⇒ vivacious reserved ⇒ tame tame ⇒ impatient impatient ⇒ long long ⇒ glamorous tame ∧ vivacious ∧ glamorous ⇒ amused average ⇒ vivacious impatient ∧ amused ∧ vivacious ⇒ mean
1
11
Facts: Batman is attentive [PERIOD] Batman is hypocritical [PERIOD] Batman is frightened [PERIOD] Rules: tense [IMPLY] beautiful [PERIOD] foolish [IMPLY] joyous [PERIOD] alert [IMPLY] smart [PERIOD] foolish [AND] attentive [IMPLY] smart [PERIOD] thoughtful [IMPLY] tense [PERIOD] frail [IMPLY] ugly [PERIOD] smart [AND]...
Proof chain: attentive ⇒ ugly ugly ⇒ joyous attentive ⇒ ugly ugly ⇒ joyous joyous ⇒ foolish foolish ∧ attentive ⇒ smart attentive ⇒ ugly ugly ⇒ attractive attractive ∧ frightened ⇒ beautiful smart ∧ beautiful ⇒ diplomatic joyous ∧ hypocritical ∧ diplomatic ⇒ jittery
1
11
Facts: Batman is distinct [PERIOD] Batman is thoughtless [PERIOD] Rules: unpleasant [AND] frail [IMPLY] impartial [PERIOD] frail [AND] pleasant [AND] distinct [IMPLY] innocent [PERIOD] gorgeous [IMPLY] pleasant [PERIOD] pleasant [IMPLY] glamorous [PERIOD] thoughtless [AND] innocent [AND] glamorous [IMPLY] dull [PERIOD...
Proof chain: thoughtless ⇒ gorgeous gorgeous ⇒ pleasant distinct ∧ pleasant ⇒ impartial thoughtless ⇒ gorgeous gorgeous ⇒ pleasant thoughtless ⇒ gorgeous gorgeous ⇒ pleasant pleasant ⇒ unpleasant pleasant ∧ unpleasant ⇒ dull dull ⇒ innocent impartial ∧ innocent ⇒ disgusted
1
11
Facts: Batman is precious [PERIOD] Batman is helpless [PERIOD] Rules: charming [IMPLY] mean [PERIOD] smart [AND] helpful [AND] careless [IMPLY] charming [PERIOD] mean [IMPLY] smart [PERIOD] wide-eyed [IMPLY] attentive [PERIOD] impartial [AND] difficult [IMPLY] mysterious [PERIOD] impartial [IMPLY] mysterious [PERIOD] ...
Proof chain: Cannot apply rule “difficult ⇒ frail” because missing: difficult. precious ⇒ wide-eyed precious ⇒ wide-eyed wide-eyed ⇒ attentive wide-eyed ∧ attentive ⇒ impartial precious ⇒ wide-eyed precious ⇒ wide-eyed wide-eyed ⇒ attentive wide-eyed ∧ attentive ⇒ impartial impartial ⇒ mys...
0
11
Facts: Batman is clean [PERIOD] Batman is pleasant [PERIOD] Rules: inquisitive [AND] innocent [IMPLY] different [PERIOD] different [IMPLY] innocent [PERIOD] difficult [AND] joyous [IMPLY] different [PERIOD] tired [IMPLY] scared [PERIOD] tired [AND] powerful [AND] clean [IMPLY] gleaming [PERIOD] joyous [AND] confused [...
Proof chain: clean ⇒ joyous clean ⇒ joyous joyous ⇒ modern joyous ∧ modern ⇒ tired Cannot apply rule “tired ∧ powerful ∧ clean ⇒ gleaming” because missing: powerful. clean ⇒ joyous clean ⇒ joyous joyous ⇒ modern joyous ∧ modern ⇒ tired tired ⇒ scared Cannot apply rule “scared ∧ loving ⇒...
0
11
Facts: Batman is polite [PERIOD] Batman is smart [PERIOD] Rules: disgusted [AND] sincere [AND] polite [IMPLY] attentive [PERIOD] worrisome [IMPLY] good [PERIOD] dishonest [AND] inquisitive [IMPLY] disgusted [PERIOD] reserved [IMPLY] alert [PERIOD] bored [IMPLY] good [PERIOD] sincere [AND] disgusted [IMPLY] blushing [P...
Proof chain: smart ⇒ fine fine ⇒ worrisome worrisome ⇒ good good ∧ smart ⇒ blushing blushing ⇒ horrible smart ⇒ fine fine ⇒ worrisome worrisome ⇒ good good ⇒ modern modern ⇒ friendly horrible ∧ friendly ⇒ attractive
1
11
Facts: Batman is cruel [PERIOD] Batman is old-fashioned [PERIOD] Batman is supportive [PERIOD] Batman is excited [PERIOD] Batman is broad-minded [PERIOD] Rules: messy [IMPLY] homely [PERIOD] supportive [AND] intellectual [IMPLY] weary [PERIOD] intellectual [IMPLY] old-fashioned [PERIOD] old-fashioned [AND] wide-eyed [...
Proof chain: cruel ∧ supportive ⇒ tame tame ⇒ wide-eyed cruel ⇒ frail frail ⇒ versatile cruel ∧ supportive ⇒ tame tame ⇒ wide-eyed cruel ⇒ frail frail ⇒ versatile wide-eyed ∧ old-fashioned ∧ versatile ⇒ spotless versatile ∧ spotless ⇒ silly wide-eyed ∧ silly ⇒ intellectual
1
11
Facts: Batman is light [PERIOD] Batman is tidy [PERIOD] Batman is wide-eyed [PERIOD] Batman is gleaming [PERIOD] Batman is jittery [PERIOD] Batman is messy [PERIOD] Batman is tired [PERIOD] Batman is sleepy [PERIOD] Rules: friendly [AND] grumpy [AND] frantic [IMPLY] popular [PERIOD] victorious [AND] jittery [AND] mess...
Proof chain: light ∧ messy ⇒ grumpy jittery ⇒ weary tidy ⇒ serious sleepy ∧ serious ⇒ frantic jittery ∧ gleaming ⇒ long tidy ∧ frantic ∧ long ⇒ elated light ∧ weary ∧ elated ⇒ aggressive messy ⇒ witty grumpy ∧ aggressive ∧ witty ⇒ popular jittery ⇒ weary popular ∧ tidy ∧ weary ⇒ friendl...
1
11
Facts: Batman is ugliest [PERIOD] Batman is intellectual [PERIOD] Rules: intellectual [IMPLY] ugliest [PERIOD] agreeable [IMPLY] attentive [PERIOD] ugliest [AND] selfish [AND] agreeable [IMPLY] naughty [PERIOD] agreeable [IMPLY] bad-tempered [PERIOD] bad-tempered [AND] elegant [AND] alert [IMPLY] shy [PERIOD] straight...
Proof chain: ugliest ⇒ attentive intellectual ∧ attentive ⇒ blushing intellectual ∧ blushing ⇒ wrong ugliest ⇒ attentive attentive ⇒ gorgeous ugliest ⇒ attentive intellectual ∧ attentive ⇒ blushing blushing ⇒ anxious gorgeous ∧ anxious ⇒ bad-tempered bad-tempered ⇒ selfish wrong ∧ selfi...
1
11
Facts: Batman is stupid [PERIOD] Batman is tame [PERIOD] Rules: rude [AND] attractive [AND] tense [IMPLY] stupid [PERIOD] pleasant [IMPLY] light [PERIOD] thoughtful [IMPLY] blushing [PERIOD] tame [IMPLY] talkative [PERIOD] busy [IMPLY] rude [PERIOD] crowded [IMPLY] stupid [PERIOD] attractive [IMPLY] stupid [PERIOD] gr...
Proof chain: tame ⇒ talkative tame ⇒ busy busy ⇒ sensible Cannot apply rule “talkative ∧ loving ∧ sensible ⇒ crowded” because missing: loving. tame ⇒ busy busy ⇒ thoughtful tame ⇒ busy busy ⇒ thoughtful thoughtful ⇒ blushing thoughtful ∧ blushing ⇒ naughty Cannot apply rule “impartial ∧...
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11
Facts: Batman is victorious [PERIOD] Batman is sensible [PERIOD] Batman is charming [PERIOD] Batman is selfish [PERIOD] Batman is old-fashioned [PERIOD] Batman is witty [PERIOD] Batman is difficult [PERIOD] Batman is wandering [PERIOD] Batman is attractive [PERIOD] Rules: precious [IMPLY] rude [PERIOD] polite [AND] wi...
Proof chain: selfish ⇒ grumpy grumpy ⇒ weary selfish ⇒ grumpy weary ∧ grumpy ⇒ polite selfish ⇒ grumpy grumpy ⇒ weary old-fashioned ⇒ homely weary ∧ attractive ∧ homely ⇒ silly polite ∧ silly ⇒ diplomatic witty ∧ diplomatic ∧ charming ⇒ precious precious ⇒ gorgeous
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11
Facts: Batman is frail [PERIOD] Batman is comfortable [PERIOD] Batman is versatile [PERIOD] Batman is polite [PERIOD] Batman is easy [PERIOD] Batman is disobedient [PERIOD] Batman is scared [PERIOD] Batman is bored [PERIOD] Rules: thoughtless [AND] comfortable [IMPLY] disobedient [PERIOD] frantic [IMPLY] nervous [PERI...
Proof chain: Cannot apply rule “modern ⇒ thoughtful” because missing: modern. bored ⇒ talented comfortable ⇒ unpleasant talented ∧ unpleasant ⇒ fragile Cannot apply rule “fragile ∧ nervous ∧ bored ⇒ thoughtful” because missing: nervous. bored ⇒ talented comfortable ⇒ unpleasant talented ∧ unplea...
0
11
Facts: Batman is quaint [PERIOD] Batman is dishonest [PERIOD] Batman is gorgeous [PERIOD] Batman is frightened [PERIOD] Batman is lucky [PERIOD] Batman is disgusted [PERIOD] Batman is victorious [PERIOD] Batman is scared [PERIOD] Rules: confident [AND] disgusted [IMPLY] grumpy [PERIOD] witty [AND] confident [IMPLY] su...
Proof chain: disgusted ⇒ supportive dishonest ⇒ witty scared ∧ witty ⇒ outstanding lucky ∧ frightened ∧ outstanding ⇒ popular supportive ∧ popular ∧ lucky ⇒ alert dishonest ⇒ witty scared ∧ witty ⇒ outstanding lucky ∧ frightened ∧ outstanding ⇒ popular disgusted ⇒ supportive popular ∧ supp...
1
11
Facts: Batman is long [PERIOD] Batman is curious [PERIOD] Batman is enchanting [PERIOD] Batman is anxious [PERIOD] Batman is straightforward [PERIOD] Batman is wrong [PERIOD] Rules: popular [AND] rational [AND] straightforward [IMPLY] sincere [PERIOD] homely [IMPLY] helpless [PERIOD] helpless [AND] inexpensive [AND] l...
Proof chain: anxious ⇒ condemned condemned ⇒ powerful powerful ⇒ muddy curious ⇒ lucky lucky ⇒ frantic anxious ⇒ condemned condemned ⇒ elated frantic ∧ elated ⇒ helpless enchanting ⇒ exuberant straightforward ∧ exuberant ⇒ inquisitive muddy ∧ helpless ∧ inquisitive ⇒ strange
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11
Facts: Batman is vivacious [PERIOD] Batman is bossy [PERIOD] Rules: crowded [AND] bored [IMPLY] curious [PERIOD] bossy [AND] rude [IMPLY] curious [PERIOD] bored [AND] rude [IMPLY] hurt [PERIOD] nervous [AND] easy [AND] crowded [IMPLY] combative [PERIOD] nervous [AND] crowded [AND] easy [IMPLY] talkative [PERIOD] vivac...
Proof chain: vivacious ⇒ enchanting enchanting ∧ bossy ⇒ impatient impatient ⇒ disobedient disobedient ⇒ hurt hurt ⇒ easy vivacious ⇒ enchanting enchanting ∧ bossy ⇒ impatient impatient ⇒ disobedient disobedient ⇒ hurt hurt ⇒ attentive easy ∧ bossy ∧ attentive ⇒ confident
1
11
Facts: Batman is fine [PERIOD] Rules: uptight [IMPLY] long [PERIOD] alert [IMPLY] blushing [PERIOD] outstanding [IMPLY] thoughtful [PERIOD] zealous [AND] popular [IMPLY] horrible [PERIOD] fragile [AND] mysterious [IMPLY] stubborn [PERIOD] uptight [AND] outstanding [IMPLY] blushing [PERIOD] fearless [AND] glamorous [AN...
Proof chain: fine ⇒ glamorous glamorous ⇒ clumsy fine ∧ clumsy ⇒ helpless helpless ⇒ blushing fine ⇒ glamorous glamorous ⇒ smart smart ⇒ old-fashioned blushing ∧ old-fashioned ⇒ outstanding outstanding ⇒ thoughtful thoughtful ⇒ confused confused ∧ fine ⇒ grumpy
1
11
Facts: Batman is fearless [PERIOD] Batman is anxious [PERIOD] Batman is charming [PERIOD] Batman is stubborn [PERIOD] Rules: aggressive [IMPLY] anxious [PERIOD] bright [IMPLY] frightened [PERIOD] aggressive [IMPLY] charming [PERIOD] elegant [IMPLY] aggressive [PERIOD] stubborn [AND] hypocritical [IMPLY] aggressive [PE...
Proof chain: anxious ⇒ aggressive aggressive ⇒ frightened stubborn ∧ frightened ∧ charming ⇒ stormy anxious ⇒ aggressive aggressive ⇒ frightened anxious ⇒ aggressive stormy ∧ frightened ∧ aggressive ⇒ bright charming ⇒ hypocritical anxious ⇒ aggressive aggressive ⇒ frightened bright ∧ h...
1
11
Facts: Batman is talkative [PERIOD] Batman is confused [PERIOD] Batman is elegant [PERIOD] Batman is scared [PERIOD] Batman is calm [PERIOD] Batman is intellectual [PERIOD] Rules: ugly [AND] weary [AND] average [IMPLY] loving [PERIOD] elegant [IMPLY] scared [PERIOD] loving [AND] tired [IMPLY] bright [PERIOD] weary [IM...
Proof chain: talkative ∧ elegant ∧ scared ⇒ bright bright ⇒ tame scared ⇒ unpleasant unpleasant ⇒ pleasant intellectual ⇒ frail frail ⇒ enchanting pleasant ∧ intellectual ∧ enchanting ⇒ hypocritical hypocritical ∧ confused ⇒ selfish tame ∧ selfish ⇒ ugly calm ⇒ average Cannot apply rule...
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11
Facts: Batman is bad-tempered [PERIOD] Rules: cruel [AND] naughty [IMPLY] sincere [PERIOD] sincere [AND] clean [AND] naughty [IMPLY] bad-tempered [PERIOD] sincere [AND] clean [IMPLY] cruel [PERIOD] sincere [AND] bad-tempered [AND] clean [IMPLY] cruel [PERIOD] naughty [AND] bad-tempered [AND] sincere [IMPLY] clean [PER...
Proof chain: bad-tempered ⇒ sincere Cannot apply rule “sincere ∧ clean ⇒ cruel” because missing: clean. bad-tempered ⇒ sincere Cannot apply rule “sincere ∧ bad-tempered ∧ clean ⇒ cruel” because missing: clean. Cannot apply rule “bad-tempered ∧ clean ⇒ cruel” because missing: clean. bad-tempered ⇒ sinc...
0
11
Facts: Batman is exuberant [PERIOD] Batman is mean [PERIOD] Batman is dull [PERIOD] Batman is thoughtful [PERIOD] Rules: old-fashioned [AND] gleaming [IMPLY] sensible [PERIOD] jittery [AND] beautiful [AND] shy [IMPLY] long [PERIOD] impartial [AND] famous [AND] old-fashioned [IMPLY] long [PERIOD] popular [IMPLY] gifted...
Proof chain: mean ⇒ homely homely ⇒ wide-eyed Cannot apply rule “famous ∧ wide-eyed ∧ dull ⇒ gleaming” because missing: famous. thoughtful ⇒ impartial dull ⇒ friendly thoughtful ⇒ impartial friendly ∧ impartial ⇒ grumpy grumpy ⇒ sensible thoughtful ⇒ long sensible ∧ exuberant ∧ long ⇒ tend...
0
11
Facts: Batman is tired [PERIOD] Batman is talkative [PERIOD] Batman is worried [PERIOD] Batman is talented [PERIOD] Rules: condemned [AND] stubborn [AND] distinct [IMPLY] nervous [PERIOD] talented [IMPLY] difficult [PERIOD] talented [AND] frail [AND] tired [IMPLY] adorable [PERIOD] outstanding [IMPLY] anxious [PERIOD]...
Proof chain: talented ⇒ difficult talkative ⇒ bright bright ⇒ frail frail ⇒ zealous talented ⇒ stubborn stubborn ∧ tired ⇒ nervous talented ⇒ difficult zealous ∧ nervous ∧ difficult ⇒ condemned difficult ∧ condemned ⇒ alert alert ⇒ outstanding outstanding ⇒ anxious
1
11
Facts: Batman is hurt [PERIOD] Batman is serious [PERIOD] Batman is clumsy [PERIOD] Batman is stubborn [PERIOD] Rules: nervous [AND] calm [IMPLY] busy [PERIOD] hypocritical [AND] mean [IMPLY] clumsy [PERIOD] sensible [AND] grumpy [AND] zealous [IMPLY] nervous [PERIOD] zealous [AND] grumpy [AND] stubborn [IMPLY] nervou...
Proof chain: stubborn ⇒ calm calm ⇒ broad-minded broad-minded ⇒ good Cannot apply rule “good ∧ mean ⇒ grumpy” because missing: mean. stubborn ⇒ calm calm ⇒ witty witty ⇒ busy stubborn ⇒ calm calm ⇒ broad-minded broad-minded ∧ stubborn ⇒ light Cannot apply rule “busy ∧ light ∧ zealous ⇒ ...
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11
Facts: Batman is easy [PERIOD] Batman is clumsy [PERIOD] Rules: easy [IMPLY] tired [PERIOD] precious [AND] cruel [AND] clumsy [IMPLY] easy [PERIOD] good [AND] intellectual [IMPLY] silly [PERIOD] clumsy [AND] precious [AND] intellectual [IMPLY] easy [PERIOD] exuberant [IMPLY] clumsy [PERIOD] clumsy [IMPLY] good [PERIOD...
Proof chain: clumsy ⇒ good easy ∧ good ⇒ exuberant clumsy ⇒ good easy ∧ good ⇒ exuberant easy ⇒ tired tired ∧ clumsy ⇒ tense clumsy ⇒ good exuberant ∧ tense ∧ good ⇒ silly easy ∧ silly ⇒ intellectual clumsy ⇒ good exuberant ∧ intellectual ∧ good ⇒ precious
1
11
Facts: Batman is calm [PERIOD] Batman is attentive [PERIOD] Batman is alert [PERIOD] Batman is victorious [PERIOD] Batman is disobedient [PERIOD] Batman is homely [PERIOD] Batman is popular [PERIOD] Batman is spotless [PERIOD] Batman is tense [PERIOD] Batman is versatile [PERIOD] Rules: fancy [AND] talented [IMPLY] co...
Proof chain: Cannot apply rule “agreeable ∧ bright ⇒ foolish” because missing: agreeable, bright. victorious ⇒ reserved reserved ⇒ different spotless ∧ different ⇒ courageous Cannot apply rule “fancy ∧ courageous ⇒ foolish” because missing: fancy. victorious ⇒ reserved victorious ⇒ reserved rese...
0
11
Facts: Batman is diplomatic [PERIOD] Batman is innocent [PERIOD] Batman is pessimistic [PERIOD] Batman is proud [PERIOD] Rules: broad-minded [AND] muddy [AND] alert [IMPLY] frantic [PERIOD] hurt [AND] busy [AND] famous [IMPLY] thoughtful [PERIOD] straightforward [AND] busy [AND] good [IMPLY] easy [PERIOD] straightforw...
Proof chain: proud ∧ diplomatic ⇒ busy proud ∧ diplomatic ⇒ busy busy ⇒ foolish foolish ⇒ good Cannot apply rule “straightforward ∧ busy ∧ good ⇒ easy” because missing: straightforward. Cannot apply rule “straightforward ⇒ easy” because missing: straightforward. Cannot apply rule “innocent ∧ straig...
0
11
Facts: Batman is bad-tempered [PERIOD] Batman is jittery [PERIOD] Batman is sensible [PERIOD] Batman is shiny [PERIOD] Batman is powerful [PERIOD] Batman is alert [PERIOD] Rules: elated [IMPLY] sensible [PERIOD] alert [AND] glamorous [IMPLY] tame [PERIOD] long [AND] diplomatic [AND] crowded [IMPLY] troubled [PERIOD] a...
Proof chain: Cannot apply rule “shiny ∧ strange ⇒ polite” because missing: strange. powerful ∧ jittery ∧ bad-tempered ⇒ weary weary ⇒ long Cannot apply rule “long ∧ strange ∧ modern ⇒ polite” because missing: strange, modern. Cannot apply rule “modern ∧ embarrassed ∧ glamorous ⇒ polite” because missing: ...
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11
Facts: Batman is mean [PERIOD] Rules: excited [AND] easy [IMPLY] joyous [PERIOD] worrisome [AND] plain [IMPLY] calm [PERIOD] joyous [IMPLY] intellectual [PERIOD] powerful [AND] intellectual [AND] rational [IMPLY] sensible [PERIOD] gorgeous [AND] impatient [IMPLY] intellectual [PERIOD] stupid [IMPLY] plain [PERIOD] cal...
Proof chain: Cannot apply rule “powerful ∧ mean ⇒ gleaming” because missing: powerful. mean ⇒ worrisome Cannot apply rule “worrisome ∧ excited ⇒ gleaming” because missing: excited. mean ⇒ worrisome worrisome ⇒ joyous joyous ⇒ intellectual mean ⇒ impatient mean ⇒ worrisome intellectual ∧ impat...
0
11
Facts: Batman is jittery [PERIOD] Batman is weary [PERIOD] Rules: worried [AND] witty [AND] thoughtless [IMPLY] attentive [PERIOD] attentive [IMPLY] witty [PERIOD] frantic [AND] weary [AND] quaint [IMPLY] grumpy [PERIOD] thoughtless [AND] jittery [IMPLY] tame [PERIOD] ambitious [IMPLY] frantic [PERIOD] polite [AND] sl...
Proof chain: jittery ⇒ thoughtless thoughtless ∧ jittery ⇒ tame jittery ∧ tame ⇒ attentive attentive ⇒ witty jittery ⇒ thoughtless thoughtless ∧ jittery ⇒ tame jittery ∧ tame ⇒ attentive witty ∧ attentive ⇒ crowded jittery ⇒ thoughtless thoughtless ∧ jittery ⇒ tame crowded ∧ tame ⇒ fanc...
1
11
Facts: Batman is cute [PERIOD] Batman is ugliest [PERIOD] Batman is gifted [PERIOD] Batman is hypocritical [PERIOD] Batman is curious [PERIOD] Batman is attractive [PERIOD] Rules: muddy [IMPLY] cute [PERIOD] supportive [AND] distinct [IMPLY] stupid [PERIOD] sensible [AND] distinct [AND] adorable [IMPLY] curious [PERIO...
Proof chain: ugliest ⇒ fearless attractive ∧ gifted ⇒ courageous fearless ∧ courageous ∧ ugliest ⇒ distinct curious ⇒ crowded crowded ⇒ wide-eyed distinct ∧ wide-eyed ∧ ugliest ⇒ elated curious ⇒ crowded crowded ⇒ wide-eyed attractive ∧ gifted ⇒ courageous wide-eyed ∧ courageous ⇒ vivaciou...
0
11
Facts: Batman is courageous [PERIOD] Rules: tender [AND] fine [IMPLY] elegant [PERIOD] fine [AND] dull [AND] attentive [IMPLY] thoughtful [PERIOD] tidy [IMPLY] courageous [PERIOD] worried [AND] amused [IMPLY] gifted [PERIOD] amused [AND] tidy [AND] thoughtful [IMPLY] enchanting [PERIOD] plain [AND] dull [AND] elegant ...
Proof chain: Cannot apply rule “attentive ∧ worried ⇒ tidy” because missing: attentive, worried. Cannot apply rule “tender ∧ attentive ∧ worried ⇒ tidy” because missing: tender, attentive, worried. courageous ⇒ dull dull ⇒ plain courageous ⇒ dull Cannot apply rule “plain ∧ dull ∧ fine ⇒ tidy” because ...
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11
Facts: Batman is embarrassed [PERIOD] Batman is helpless [PERIOD] Batman is loving [PERIOD] Rules: serious [AND] strange [AND] thoughtless [IMPLY] helpless [PERIOD] naughty [IMPLY] aggressive [PERIOD] victorious [AND] average [IMPLY] broad-minded [PERIOD] aggressive [IMPLY] curious [PERIOD] naughty [AND] thoughtless [...
Proof chain: embarrassed ⇒ worried worried ⇒ strange strange ⇒ thoughtless helpless ∧ embarrassed ⇒ uptight uptight ⇒ tidy embarrassed ∧ helpless ∧ tidy ⇒ attractive Cannot apply rule “thoughtless ∧ attractive ∧ thoughtful ⇒ stupid” because missing: thoughtful. helpless ∧ embarrassed ⇒ uptight ...
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11
Facts: Batman is victorious [PERIOD] Batman is charming [PERIOD] Batman is reserved [PERIOD] Batman is cooperative [PERIOD] Batman is bossy [PERIOD] Rules: zealous [IMPLY] messy [PERIOD] gorgeous [AND] versatile [AND] comfortable [IMPLY] long [PERIOD] worrisome [AND] different [AND] cooperative [IMPLY] bossy [PERIOD] ...
Proof chain: charming ⇒ elegant elegant ⇒ troubled troubled ⇒ rude Cannot apply rule “rude ∧ messy ⇒ grumpy” because missing: messy. charming ⇒ elegant elegant ⇒ troubled troubled ⇒ rude rude ⇒ stubborn charming ∧ stubborn ⇒ stormy stormy ∧ victorious ⇒ long Cannot apply rule “long ∧ cr...
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11
Facts: Batman is perfect [PERIOD] Batman is dull [PERIOD] Rules: weary [AND] perfect [IMPLY] combative [PERIOD] dull [IMPLY] worrisome [PERIOD] frightened [AND] frail [AND] serious [IMPLY] hurt [PERIOD] popular [AND] precious [AND] frightened [IMPLY] combative [PERIOD] frightened [AND] bored [IMPLY] tidy [PERIOD] frig...
Proof chain: dull ⇒ worrisome worrisome ∧ perfect ⇒ tidy Cannot apply rule “tidy ∧ careless ⇒ impartial” because missing: careless. dull ⇒ worrisome worrisome ∧ perfect ⇒ tidy Cannot apply rule “bored ∧ tidy ⇒ impartial” because missing: bored. dull ⇒ worrisome Cannot apply rule “frail ∧ helples...
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11
Facts: Batman is tired [PERIOD] Rules: exuberant [AND] troubled [IMPLY] bad-tempered [PERIOD] busy [IMPLY] troubled [PERIOD] tired [AND] troubled [AND] alert [IMPLY] friendly [PERIOD] bad-tempered [AND] enchanting [AND] gleaming [IMPLY] troubled [PERIOD] calm [AND] enchanting [IMPLY] lucky [PERIOD] tame [AND] tired [I...
Proof chain: tired ⇒ popular popular ⇒ thoughtless thoughtless ⇒ enchanting Cannot apply rule “enchanting ∧ lucky ⇒ amused” because missing: lucky. tired ⇒ popular Cannot apply rule “confident ∧ popular ⇒ amused” because missing: confident. tired ⇒ popular popular ⇒ thoughtless thoughtless ⇒ ...
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11
Facts: Batman is zealous [PERIOD] Batman is rational [PERIOD] Rules: rational [AND] good [AND] quaint [IMPLY] fancy [PERIOD] elated [IMPLY] alert [PERIOD] rational [IMPLY] messy [PERIOD] rational [AND] good [AND] witty [IMPLY] wide-eyed [PERIOD] wide-eyed [AND] bright [AND] witty [IMPLY] messy [PERIOD] calm [AND] diff...
Proof chain: Cannot apply rule “wide-eyed ∧ popular ⇒ attentive” because missing: wide-eyed, popular. Cannot apply rule “rational ∧ wide-eyed ⇒ attentive” because missing: wide-eyed. zealous ⇒ distinct distinct ⇒ old-fashioned Cannot apply rule “old-fashioned ∧ blushing ∧ naughty ⇒ attentive” because mis...
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11
Facts: Batman is worrisome [PERIOD] Batman is enchanting [PERIOD] Batman is old-fashioned [PERIOD] Batman is serious [PERIOD] Rules: serious [AND] sleepy [IMPLY] careless [PERIOD] comfortable [AND] uptight [IMPLY] bored [PERIOD] serious [AND] joyous [AND] uptight [IMPLY] innocent [PERIOD] comfortable [AND] alert [IMPL...
Proof chain: serious ⇒ tidy serious ⇒ tidy tidy ⇒ careless tidy ∧ worrisome ∧ careless ⇒ alert worrisome ∧ enchanting ⇒ foolish foolish ⇒ comfortable serious ⇒ tidy tidy ⇒ careless careless ⇒ uptight comfortable ∧ uptight ⇒ bored alert ∧ bored ⇒ charming
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Facts: Batman is serious [PERIOD] Rules: elated [IMPLY] famous [PERIOD] serious [AND] fancy [IMPLY] stubborn [PERIOD] cruel [IMPLY] dishonest [PERIOD] fearless [AND] dishonest [AND] fancy [IMPLY] excited [PERIOD] serious [AND] supportive [IMPLY] elated [PERIOD] fancy [IMPLY] supportive [PERIOD] gleaming [AND] cruel [I...
Proof chain: Cannot apply rule “famous ∧ troubled ∧ disobedient ⇒ cruel” because missing: famous, troubled, disobedient. Cannot apply rule “famous ∧ different ∧ light ⇒ cruel” because missing: famous, different, light. Cannot apply rule “elated ⇒ cruel” because missing: elated. serious ⇒ unpleasant Canno...
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11
Facts: Batman is old-fashioned [PERIOD] Batman is unpleasant [PERIOD] Batman is dishonest [PERIOD] Rules: old-fashioned [AND] inexpensive [IMPLY] homely [PERIOD] clean [IMPLY] frantic [PERIOD] modern [IMPLY] inexpensive [PERIOD] curious [AND] frightened [IMPLY] aggressive [PERIOD] attractive [IMPLY] impatient [PERIOD]...
Proof chain: Cannot apply rule “clean ⇒ frantic” because missing: clean. dishonest ⇒ attractive attractive ⇒ impatient Cannot apply rule “gifted ∧ impatient ∧ unpleasant ⇒ frantic” because missing: gifted. dishonest ⇒ attractive Cannot apply rule “inexpensive ∧ attractive ∧ plain ⇒ frantic” because mi...
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11
Facts: Batman is bossy [PERIOD] Rules: spotless [AND] bossy [IMPLY] zealous [PERIOD] long [IMPLY] helpless [PERIOD] gifted [IMPLY] stormy [PERIOD] zealous [AND] shy [AND] spotless [IMPLY] frightened [PERIOD] innocent [AND] long [IMPLY] bossy [PERIOD] spotless [IMPLY] helpless [PERIOD] long [IMPLY] shy [PERIOD] shy [AN...
Proof chain: bossy ⇒ stormy stormy ⇒ zealous bossy ⇒ shy shy ⇒ uptight bossy ⇒ shy shy ⇒ uptight uptight ⇒ long long ⇒ helpless helpless ⇒ frightened uptight ∧ frightened ⇒ gifted zealous ∧ gifted ⇒ spotless
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11
Facts: Batman is good [PERIOD] Batman is loving [PERIOD] Batman is gorgeous [PERIOD] Batman is tired [PERIOD] Batman is beautiful [PERIOD] Batman is curious [PERIOD] Batman is sensible [PERIOD] Rules: cooperative [AND] precious [IMPLY] good [PERIOD] fragile [AND] tired [IMPLY] zealous [PERIOD] scared [AND] intellectua...
Proof chain: Cannot apply rule “silly ∧ inexpensive ∧ beautiful ⇒ fragile” because missing: silly, inexpensive. Cannot apply rule “versatile ∧ dull ⇒ fragile” because missing: versatile, dull. Cannot apply rule “courageous ∧ weary ⇒ fragile” because missing: courageous, weary. beautiful ⇒ outrageous Cann...
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11
Facts: Batman is pleasant [PERIOD] Batman is frail [PERIOD] Batman is fine [PERIOD] Batman is troubled [PERIOD] Rules: selfish [AND] wide-eyed [IMPLY] excited [PERIOD] straightforward [AND] frail [AND] spotless [IMPLY] polite [PERIOD] confident [AND] frail [IMPLY] mysterious [PERIOD] wide-eyed [AND] confident [AND] st...
Proof chain: frail ⇒ straightforward fine ⇒ charming charming ⇒ confident confident ∧ frail ⇒ mysterious frail ⇒ straightforward pleasant ∧ straightforward ∧ fine ⇒ impartial straightforward ∧ mysterious ∧ impartial ⇒ rational fine ⇒ charming charming ⇒ confident confident ∧ frail ⇒ myster...
1
11
Facts: Batman is fine [PERIOD] Batman is selfish [PERIOD] Batman is easy [PERIOD] Rules: frail [IMPLY] quaint [PERIOD] aggressive [AND] hypocritical [IMPLY] helpful [PERIOD] frail [AND] embarrassed [IMPLY] serious [PERIOD] frail [AND] amused [AND] hypocritical [IMPLY] helpless [PERIOD] easy [IMPLY] rude [PERIOD] stupi...
Proof chain: easy ⇒ long selfish ∧ long ⇒ ugly ugly ⇒ embarrassed Cannot apply rule “frail ∧ embarrassed ⇒ serious” because missing: frail. Cannot apply rule “silly ⇒ serious” because missing: silly. easy ⇒ rude Cannot apply rule “quaint ∧ rude ⇒ serious” because missing: quaint. easy ⇒ long ...
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11
Facts: Batman is beautiful [PERIOD] Rules: naughty [AND] quaint [AND] tired [IMPLY] gifted [PERIOD] fragile [IMPLY] cooperative [PERIOD] elated [IMPLY] reserved [PERIOD] embarrassed [IMPLY] fancy [PERIOD] quaint [IMPLY] troubled [PERIOD] beautiful [AND] tired [IMPLY] cooperative [PERIOD] disobedient [AND] gifted [AND]...
Proof chain: beautiful ⇒ fragile fragile ⇒ thoughtless thoughtless ⇒ disobedient disobedient ⇒ troubled beautiful ⇒ fragile fragile ⇒ cooperative beautiful ∧ cooperative ⇒ embarrassed beautiful ⇒ fragile fragile ⇒ thoughtless embarrassed ∧ thoughtless ⇒ tired beautiful ∧ troubled ∧ tire...
1
11
Facts: Batman is anxious [PERIOD] Batman is joyous [PERIOD] Batman is sincere [PERIOD] Rules: hurt [AND] witty [AND] easy [IMPLY] cruel [PERIOD] easy [IMPLY] joyous [PERIOD] sincere [IMPLY] stubborn [PERIOD] fancy [AND] hurt [AND] sincere [IMPLY] cruel [PERIOD] witty [AND] broad-minded [IMPLY] easy [PERIOD] broad-mind...
Proof chain: sincere ⇒ stubborn stubborn ⇒ witty sincere ⇒ stubborn stubborn ⇒ witty witty ⇒ fancy fancy ⇒ broad-minded witty ∧ broad-minded ⇒ combative sincere ⇒ stubborn stubborn ⇒ witty witty ⇒ fancy Cannot apply rule “combative ∧ mysterious ∧ fancy ⇒ worrisome” because missing: myst...
0
11
Facts: Batman is fancy [PERIOD] Batman is wrong [PERIOD] Batman is good [PERIOD] Batman is sensible [PERIOD] Batman is bored [PERIOD] Batman is hypocritical [PERIOD] Batman is different [PERIOD] Rules: wrong [AND] good [AND] ambitious [IMPLY] serious [PERIOD] frail [AND] good [AND] versatile [IMPLY] bored [PERIOD] fra...
Proof chain: hypocritical ⇒ frail bored ∧ sensible ⇒ clumsy clumsy ∧ good ∧ different ⇒ uptight good ∧ uptight ⇒ disobedient frail ∧ fancy ∧ disobedient ⇒ versatile bored ∧ sensible ⇒ clumsy clumsy ∧ good ∧ different ⇒ uptight good ∧ uptight ⇒ disobedient disobedient ⇒ stubborn stubborn ⇒ ...
1
11
Facts: Batman is rational [PERIOD] Batman is elegant [PERIOD] Batman is strange [PERIOD] Rules: vivacious [AND] mysterious [IMPLY] talented [PERIOD] talented [AND] comfortable [AND] good [IMPLY] difficult [PERIOD] straightforward [AND] wide-eyed [IMPLY] difficult [PERIOD] gifted [AND] talkative [IMPLY] straightforward...
Proof chain: elegant ⇒ distinct elegant ⇒ distinct distinct ⇒ blushing rational ∧ distinct ∧ blushing ⇒ talented talented ⇒ adorable elegant ⇒ straightforward adorable ∧ straightforward ⇒ sleepy sleepy ⇒ good elegant ⇒ distinct good ∧ distinct ⇒ talkative talkative ∧ elegant ⇒ elated
1
11
Facts: Batman is embarrassed [PERIOD] Batman is difficult [PERIOD] Batman is messy [PERIOD] Batman is pleasant [PERIOD] Batman is zealous [PERIOD] Batman is combative [PERIOD] Rules: hypocritical [AND] comfortable [IMPLY] lonely [PERIOD] fancy [AND] pleasant [AND] combative [IMPLY] messy [PERIOD] zealous [AND] curious...
Proof chain: embarrassed ⇒ comfortable zealous ⇒ hypocritical hypocritical ∧ difficult ⇒ condemned zealous ⇒ hypocritical hypocritical ∧ difficult ⇒ condemned condemned ⇒ victorious condemned ∧ victorious ⇒ stormy zealous ⇒ hypocritical hypocritical ∧ difficult ⇒ condemned condemned ⇒ vict...
1
11
Facts: Batman is broad-minded [PERIOD] Batman is innocent [PERIOD] Batman is sincere [PERIOD] Batman is helpful [PERIOD] Batman is tidy [PERIOD] Batman is disobedient [PERIOD] Rules: helpful [IMPLY] attentive [PERIOD] attentive [IMPLY] stormy [PERIOD] joyous [AND] versatile [AND] innocent [IMPLY] attentive [PERIOD] ne...
Proof chain: tidy ⇒ joyous helpful ⇒ attentive attentive ⇒ stormy stormy ⇒ vivacious joyous ∧ vivacious ⇒ perfect helpful ⇒ lucky disobedient ∧ lucky ⇒ silly Cannot apply rule “perfect ∧ silly ∧ uptight ⇒ blushing” because missing: uptight. sincere ⇒ courageous helpful ⇒ lucky Cannot ap...
0
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Facts: Batman is rational [PERIOD] Rules: weary [AND] blushing [AND] foolish [IMPLY] hilarious [PERIOD] frantic [AND] lucky [IMPLY] blushing [PERIOD] hilarious [AND] foolish [AND] glamorous [IMPLY] tidy [PERIOD] elegant [IMPLY] hilarious [PERIOD] muddy [AND] alert [IMPLY] tidy [PERIOD] straightforward [IMPLY] ugly [PE...
Proof chain: rational ⇒ hypocritical hypocritical ⇒ enchanting enchanting ⇒ careless rational ⇒ hypocritical hypocritical ⇒ enchanting enchanting ⇒ careless rational ⇒ hypocritical careless ∧ hypocritical ⇒ frantic careless ∧ frantic ⇒ tidy tidy ⇒ straightforward straightforward ⇒ ugly
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Facts: Batman is broad-minded [PERIOD] Batman is intellectual [PERIOD] Batman is enchanting [PERIOD] Batman is messy [PERIOD] Rules: zealous [AND] glamorous [AND] weary [IMPLY] silly [PERIOD] nervous [IMPLY] zealous [PERIOD] average [AND] frantic [AND] vivacious [IMPLY] nervous [PERIOD] vivacious [AND] combative [AND]...
Proof chain: intellectual ⇒ glamorous intellectual ⇒ glamorous glamorous ⇒ vivacious intellectual ⇒ glamorous vivacious ∧ glamorous ⇒ disobedient intellectual ⇒ mean intellectual ⇒ glamorous intellectual ⇒ mean glamorous ∧ mean ⇒ fine disobedient ∧ mean ∧ fine ⇒ weary Cannot apply rule ...
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Facts: Batman is tense [PERIOD] Batman is rational [PERIOD] Rules: strange [AND] confused [AND] inquisitive [IMPLY] inexpensive [PERIOD] confident [IMPLY] exuberant [PERIOD] rational [AND] worried [IMPLY] tired [PERIOD] gleaming [IMPLY] tense [PERIOD] loving [IMPLY] inexpensive [PERIOD] courageous [IMPLY] strange [PER...
Proof chain: tense ∧ rational ⇒ strange Cannot apply rule “sensible ∧ strange ∧ courageous ⇒ loving” because missing: sensible, courageous. tense ∧ rational ⇒ strange rational ∧ strange ⇒ worried Cannot apply rule “worried ∧ sensible ∧ confused ⇒ loving” because missing: sensible, confused. tense ∧ ra...
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Facts: Batman is sensible [PERIOD] Rules: thoughtless [AND] messy [AND] impartial [IMPLY] talented [PERIOD] popular [AND] messy [AND] dull [IMPLY] naughty [PERIOD] thoughtless [IMPLY] lucky [PERIOD] sensible [AND] lucky [AND] elegant [IMPLY] thoughtful [PERIOD] foolish [AND] bad-tempered [AND] cruel [IMPLY] straightfo...
Proof chain: sensible ⇒ plain plain ⇒ thoughtless thoughtless ⇒ lucky sensible ∧ lucky ⇒ silly sensible ⇒ plain plain ⇒ thoughtless silly ∧ thoughtless ⇒ popular Cannot apply rule “popular ∧ bad-tempered ⇒ light” because missing: bad-tempered. sensible ⇒ plain Cannot apply rule “gleaming ∧...
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Facts: Batman is precious [PERIOD] Batman is spotless [PERIOD] Batman is popular [PERIOD] Batman is outrageous [PERIOD] Batman is mean [PERIOD] Rules: modern [AND] precious [AND] famous [IMPLY] selfish [PERIOD] charming [IMPLY] mean [PERIOD] powerful [AND] light [IMPLY] popular [PERIOD] nervous [AND] outrageous [AND] ...
Proof chain: popular ⇒ crowded precious ⇒ nervous nervous ⇒ powerful crowded ∧ powerful ⇒ good precious ⇒ nervous nervous ⇒ selfish good ∧ selfish ⇒ innocent precious ⇒ nervous nervous ⇒ selfish selfish ⇒ wrong Cannot apply rule “innocent ∧ worrisome ∧ wrong ⇒ modern” because missing: w...
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Facts: Batman is sincere [PERIOD] Rules: victorious [IMPLY] straightforward [PERIOD] loving [AND] famous [IMPLY] crowded [PERIOD] naughty [IMPLY] worried [PERIOD] zealous [AND] distinct [AND] quaint [IMPLY] talented [PERIOD] calm [IMPLY] famous [PERIOD] gleaming [AND] naughty [IMPLY] jittery [PERIOD] worried [IMPLY] c...
Proof chain: sincere ⇒ victorious victorious ⇒ straightforward sincere ⇒ victorious victorious ⇒ clean straightforward ∧ clean ⇒ calm calm ⇒ famous Cannot apply rule “loving ∧ famous ⇒ crowded” because missing: loving. Cannot apply rule “talented ∧ weary ∧ bad-tempered ⇒ crowded” because missing...
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Facts: Batman is talkative [PERIOD] Rules: cruel [AND] crowded [AND] combative [IMPLY] foolish [PERIOD] condemned [IMPLY] thoughtful [PERIOD] talkative [AND] bossy [IMPLY] pleasant [PERIOD] crowded [AND] amused [AND] thoughtful [IMPLY] pleasant [PERIOD] crowded [IMPLY] pleasant [PERIOD] condemned [AND] amused [AND] pl...
Proof chain: talkative ⇒ bossy talkative ∧ bossy ⇒ pleasant pleasant ⇒ loving loving ⇒ foolish foolish ⇒ agreeable talkative ⇒ bossy talkative ⇒ bossy talkative ∧ bossy ⇒ pleasant pleasant ⇒ loving loving ⇒ foolish agreeable ∧ bossy ∧ foolish ⇒ crowded
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Facts: Batman is worrisome [PERIOD] Batman is cruel [PERIOD] Batman is courageous [PERIOD] Batman is clumsy [PERIOD] Rules: fancy [AND] glamorous [IMPLY] attentive [PERIOD] victorious [AND] tender [AND] bossy [IMPLY] frantic [PERIOD] tender [IMPLY] loving [PERIOD] straightforward [AND] spotless [AND] helpless [IMPLY] ...
Proof chain: cruel ∧ clumsy ⇒ outrageous Cannot apply rule “outrageous ∧ loving ⇒ tender” because missing: loving. Cannot apply rule “spotless ⇒ tender” because missing: spotless. courageous ⇒ helpless cruel ∧ clumsy ⇒ outrageous cruel ∧ clumsy ⇒ outrageous courageous ∧ outrageous ⇒ supportive o...
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Facts: Batman is frantic [PERIOD] Batman is pleasant [PERIOD] Rules: different [AND] tidy [AND] gorgeous [IMPLY] nervous [PERIOD] strange [AND] mysterious [AND] nervous [IMPLY] troubled [PERIOD] gorgeous [AND] enchanting [IMPLY] comfortable [PERIOD] troubled [IMPLY] fine [PERIOD] pleasant [IMPLY] gleaming [PERIOD] tro...
Proof chain: pleasant ⇒ victorious victorious ⇒ innocent innocent ⇒ troubled Cannot apply rule “alert ∧ troubled ⇒ reserved” because missing: alert. Cannot apply rule “enchanting ∧ comfortable ⇒ reserved” because missing: enchanting, comfortable. pleasant ⇒ victorious victorious ⇒ innocent innoc...
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Facts: Batman is impatient [PERIOD] Batman is old-fashioned [PERIOD] Rules: diplomatic [IMPLY] glamorous [PERIOD] good [IMPLY] stupid [PERIOD] inexpensive [IMPLY] jittery [PERIOD] zealous [IMPLY] impatient [PERIOD] good [AND] zealous [AND] bad-tempered [IMPLY] victorious [PERIOD] naughty [IMPLY] jittery [PERIOD] stupi...
Proof chain: Cannot apply rule “witty ∧ supportive ⇒ agreeable” because missing: witty, supportive. old-fashioned ⇒ dull dull ⇒ good good ⇒ stupid Cannot apply rule “worried ∧ stupid ∧ bad-tempered ⇒ agreeable” because missing: worried, bad-tempered. old-fashioned ⇒ dull dull ⇒ good good ⇒ stupi...
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Facts: Batman is rational [PERIOD] Rules: ugly [AND] selfish [AND] attractive [IMPLY] grumpy [PERIOD] worried [AND] light [AND] grumpy [IMPLY] ugly [PERIOD] enchanting [AND] attractive [AND] talented [IMPLY] modern [PERIOD] lucky [IMPLY] precious [PERIOD] thoughtless [AND] ugly [IMPLY] dishonest [PERIOD] light [IMPLY]...
Proof chain: Cannot apply rule “modern ∧ thoughtless ⇒ talented” because missing: modern, thoughtless. Cannot apply rule “modern ∧ rational ⇒ talented” because missing: modern. Cannot apply rule “precious ∧ enchanting ⇒ talented” because missing: precious, enchanting. Cannot apply rule “precious ∧ worried ⇒...
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Facts: Batman is cooperative [PERIOD] Batman is inexpensive [PERIOD] Batman is confident [PERIOD] Batman is selfish [PERIOD] Rules: inexpensive [IMPLY] grumpy [PERIOD] attentive [AND] talkative [AND] hurt [IMPLY] quaint [PERIOD] uptight [AND] wrong [AND] quaint [IMPLY] condemned [PERIOD] intellectual [IMPLY] supportiv...
Proof chain: inexpensive ⇒ grumpy grumpy ⇒ smart cooperative ⇒ condemned condemned ⇒ talkative smart ∧ talkative ⇒ powerful cooperative ⇒ condemned confident ∧ condemned ⇒ naughty inexpensive ⇒ serious serious ∧ confident ⇒ bored naughty ∧ bored ⇒ troubled powerful ∧ selfish ∧ troubled ...
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Facts: Batman is intellectual [PERIOD] Rules: bossy [IMPLY] selfish [PERIOD] stubborn [AND] impartial [AND] charming [IMPLY] inquisitive [PERIOD] bossy [AND] intellectual [AND] crowded [IMPLY] mysterious [PERIOD] confused [AND] mysterious [IMPLY] witty [PERIOD] inquisitive [IMPLY] selfish [PERIOD] inquisitive [IMPLY] ...
Proof chain: intellectual ⇒ stubborn intellectual ⇒ stubborn stubborn ⇒ aggressive aggressive ⇒ impartial Cannot apply rule “stubborn ∧ selfish ∧ impartial ⇒ crowded” because missing: selfish. intellectual ⇒ stubborn stubborn ⇒ witty Cannot apply rule “fancy ∧ witty ⇒ crowded” because missing: f...
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Facts: Batman is amused [PERIOD] Batman is diplomatic [PERIOD] Rules: outstanding [IMPLY] embarrassed [PERIOD] embarrassed [IMPLY] diplomatic [PERIOD] friendly [AND] tense [AND] fine [IMPLY] broad-minded [PERIOD] embarrassed [AND] inexpensive [AND] glamorous [IMPLY] sensible [PERIOD] jittery [IMPLY] sincere [PERIOD] g...
Proof chain: diplomatic ⇒ tense tense ⇒ sincere sincere ⇒ inexpensive diplomatic ⇒ tense tense ⇒ sincere sincere ⇒ different different ⇒ stubborn stubborn ⇒ unpleasant unpleasant ∧ diplomatic ⇒ dull inexpensive ∧ dull ⇒ embarrassed embarrassed ⇒ plain
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Facts: Batman is perfect [PERIOD] Batman is hypocritical [PERIOD] Rules: intellectual [AND] rude [AND] agreeable [IMPLY] beautiful [PERIOD] curious [IMPLY] courageous [PERIOD] troubled [IMPLY] bad-tempered [PERIOD] courageous [AND] worrisome [IMPLY] troubled [PERIOD] crowded [AND] curious [AND] frantic [IMPLY] worriso...
Proof chain: Cannot apply rule “pessimistic ∧ careless ∧ worrisome ⇒ nervous” because missing: pessimistic, careless, worrisome. perfect ⇒ jittery jittery ∧ hypocritical ⇒ crowded crowded ⇒ frantic Cannot apply rule “long ∧ frantic ⇒ nervous” because missing: long. perfect ⇒ jittery Cannot apply ru...
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Facts: Batman is plain [PERIOD] Rules: unpleasant [AND] frantic [IMPLY] weary [PERIOD] average [IMPLY] embarrassed [PERIOD] different [IMPLY] plain [PERIOD] fine [AND] modern [AND] blushing [IMPLY] quaint [PERIOD] average [AND] anxious [IMPLY] modern [PERIOD] different [AND] fine [AND] fearless [IMPLY] condemned [PERI...
Proof chain: plain ⇒ homely homely ⇒ average Cannot apply rule “average ∧ anxious ⇒ modern” because missing: anxious. Cannot apply rule “blushing ⇒ modern” because missing: blushing. Cannot apply rule “fearless ⇒ modern” because missing: fearless. plain ⇒ homely homely ⇒ average average ⇒ embarr...
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Facts: Batman is stubborn [PERIOD] Batman is popular [PERIOD] Batman is pessimistic [PERIOD] Batman is comfortable [PERIOD] Batman is inquisitive [PERIOD] Batman is bored [PERIOD] Batman is frail [PERIOD] Batman is talkative [PERIOD] Batman is straightforward [PERIOD] Rules: joyous [IMPLY] rational [PERIOD] frail [IMP...
Proof chain: comfortable ⇒ rational rational ⇒ sleepy frail ⇒ lucky lucky ⇒ anxious anxious ⇒ disgusted inquisitive ∧ sleepy ∧ disgusted ⇒ adorable comfortable ⇒ rational rational ⇒ sleepy inquisitive ∧ adorable ∧ sleepy ⇒ light frail ⇒ lucky light ∧ lucky ⇒ beautiful
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Facts: Batman is worried [PERIOD] Batman is clean [PERIOD] Batman is worrisome [PERIOD] Batman is impartial [PERIOD] Rules: glamorous [IMPLY] impartial [PERIOD] intellectual [IMPLY] tidy [PERIOD] fearless [IMPLY] intellectual [PERIOD] glamorous [AND] tidy [IMPLY] impartial [PERIOD] sleepy [AND] clean [AND] gleaming [I...
Proof chain: clean ⇒ hurt hurt ⇒ disobedient worrisome ⇒ proud clean ⇒ hurt proud ∧ hurt ∧ clean ⇒ gleaming disobedient ∧ clean ∧ gleaming ⇒ courageous worrisome ⇒ proud clean ⇒ hurt proud ∧ hurt ∧ clean ⇒ gleaming impartial ∧ courageous ∧ gleaming ⇒ glamorous Cannot apply rule “fearles...
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Facts: Batman is muddy [PERIOD] Rules: rude [AND] muddy [AND] foolish [IMPLY] talkative [PERIOD] scared [IMPLY] homely [PERIOD] foolish [AND] scared [IMPLY] loving [PERIOD] talkative [IMPLY] strange [PERIOD] talkative [AND] homely [AND] scared [IMPLY] rude [PERIOD] homely [AND] cute [IMPLY] rude [PERIOD] embarrassed [...
Proof chain: muddy ⇒ strange strange ⇒ foolish Cannot apply rule “rude ∧ muddy ∧ foolish ⇒ talkative” because missing: rude. Cannot apply rule “scared ∧ rude ⇒ talkative” because missing: scared, rude. muddy ⇒ strange Cannot apply rule “embarrassed ∧ strange ⇒ talkative” because missing: embarrassed. ...
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Facts: Batman is sleepy [PERIOD] Rules: shiny [AND] adorable [IMPLY] sleepy [PERIOD] difficult [AND] shiny [AND] courageous [IMPLY] sleepy [PERIOD] shiny [IMPLY] elegant [PERIOD] adorable [IMPLY] shy [PERIOD] sleepy [IMPLY] vivacious [PERIOD] courageous [AND] shy [AND] shiny [IMPLY] careless [PERIOD] vivacious [IMPLY]...
Proof chain: Cannot apply rule “adorable ⇒ shy” because missing: adorable. Cannot apply rule “difficult ⇒ shy” because missing: difficult. sleepy ⇒ vivacious vivacious ⇒ careless sleepy ⇒ vivacious vivacious ⇒ careless careless ⇒ modern Cannot apply rule “difficult ∧ careless ∧ modern ⇒ shy” bec...
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Facts: Batman is adorable [PERIOD] Batman is naughty [PERIOD] Rules: fine [IMPLY] smart [PERIOD] adorable [AND] ugly [IMPLY] powerful [PERIOD] proud [AND] smart [AND] thoughtful [IMPLY] ugly [PERIOD] ugly [AND] powerful [AND] pessimistic [IMPLY] impatient [PERIOD] impatient [IMPLY] fine [PERIOD] different [AND] troubl...
Proof chain: adorable ⇒ fine adorable ∧ fine ⇒ popular popular ∧ naughty ⇒ joyous joyous ⇒ different different ⇒ thoughtful adorable ⇒ fine fine ⇒ troubled adorable ∧ thoughtful ∧ troubled ⇒ straightforward adorable ⇒ fine straightforward ∧ fine ⇒ powerful powerful ⇒ cooperative
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Facts: Batman is mysterious [PERIOD] Batman is tired [PERIOD] Batman is intellectual [PERIOD] Rules: helpless [IMPLY] victorious [PERIOD] hurt [IMPLY] broad-minded [PERIOD] loving [AND] talented [AND] joyous [IMPLY] broad-minded [PERIOD] mean [IMPLY] intellectual [PERIOD] broad-minded [IMPLY] mean [PERIOD] fancy [AND]...
Proof chain: intellectual ⇒ easy easy ⇒ rational rational ∧ mysterious ⇒ impartial impartial ⇒ joyous tired ∧ mysterious ⇒ victorious intellectual ⇒ easy easy ⇒ rational rational ∧ mysterious ⇒ impartial impartial ⇒ joyous mysterious ∧ joyous ⇒ disgusted joyous ∧ victorious ∧ disgusted ...
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