Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Rules: reserved [IMPLY] outstanding [PERIOD] dishonest [AND] homely [AND] confident [IMPLY] serious [PERIOD] victorious [AND] clumsy [AND] difficult [IMPLY] easy [PERIOD] old-fashioned [AND] clumsy [AND] victorious [IMPLY] worried [PERIOD] famous [AND] elegant [AND] old-fashioned [IMPLY] outstanding [PERIOD] mu...
Proof chain: Cannot apply rule “difficult ∧ good ∧ amused ⇒ old-fashioned” because missing: difficult, good, amused. Cannot apply rule “shy ⇒ old-fashioned” because missing: shy. Cannot apply rule “good ∧ hilarious ⇒ old-fashioned” because missing: good, hilarious. Cannot apply rule “clumsy ⇒ old-fashioned”...
0
7
Facts: Batman is straightforward [PERIOD] Batman is diplomatic [PERIOD] Batman is curious [PERIOD] Batman is spotless [PERIOD] Batman is light [PERIOD] Batman is serious [PERIOD] Batman is ugliest [PERIOD] Batman is busy [PERIOD] Rules: aggressive [AND] frantic [IMPLY] nervous [PERIOD] cooperative [AND] stubborn [IMPL...
Proof chain: serious ⇒ supportive supportive ⇒ aggressive curious ∧ light ∧ serious ⇒ frantic aggressive ∧ frantic ⇒ nervous nervous ⇒ muddy diplomatic ⇒ confident muddy ∧ confident ⇒ thoughtful
1
7
Facts: Batman is scared [PERIOD] Rules: straightforward [AND] tame [AND] stormy [IMPLY] bored [PERIOD] stormy [IMPLY] tame [PERIOD] bored [AND] agreeable [IMPLY] straightforward [PERIOD] tame [AND] agreeable [AND] scared [IMPLY] bored [PERIOD] straightforward [AND] stormy [AND] bored [IMPLY] agreeable [PERIOD] tame [I...
Proof chain: scared ⇒ tame tame ⇒ bored scared ⇒ tame tame ⇒ bored scared ⇒ tame bored ∧ tame ⇒ agreeable bored ∧ agreeable ⇒ stormy
1
7
Facts: Batman is embarrassed [PERIOD] Batman is homely [PERIOD] Batman is messy [PERIOD] Rules: attentive [AND] reserved [AND] impatient [IMPLY] spotless [PERIOD] talkative [AND] attentive [IMPLY] frightened [PERIOD] strange [AND] spotless [IMPLY] messy [PERIOD] broad-minded [AND] attentive [AND] innocent [IMPLY] upti...
Proof chain: homely ⇒ tame tame ⇒ elated elated ⇒ confused messy ⇒ comfortable confused ∧ comfortable ⇒ broad-minded messy ⇒ comfortable broad-minded ∧ comfortable ⇒ frightened
1
7
Facts: Rules: calm [AND] adorable [IMPLY] worried [PERIOD] gorgeous [AND] exuberant [IMPLY] impartial [PERIOD] outstanding [AND] joyous [AND] calm [IMPLY] courageous [PERIOD] calm [AND] aggressive [AND] stupid [IMPLY] fine [PERIOD] messy [IMPLY] helpful [PERIOD] light [AND] gorgeous [AND] fine [IMPLY] fearless [PERIOD...
Proof chain: Cannot apply rule “calm ∧ adorable ⇒ worried” because missing: calm, adorable. Cannot apply rule “outstanding ⇒ worried” because missing: outstanding. Cannot apply rule “calm ⇒ worried” because missing: calm. Cannot apply rule “exuberant ⇒ worried” because missing: exuberant. Cannot apply ru...
0
7
Facts: Batman is cruel [PERIOD] Batman is fancy [PERIOD] Rules: clumsy [AND] cruel [AND] tame [IMPLY] fancy [PERIOD] cruel [AND] tense [AND] fancy [IMPLY] clumsy [PERIOD] tense [IMPLY] witty [PERIOD] scared [IMPLY] clumsy [PERIOD] witty [AND] fearless [IMPLY] average [PERIOD] cruel [AND] scared [AND] ugliest [IMPLY] f...
Proof chain: Cannot apply rule “ugliest ∧ fancy ⇒ fearless” because missing: ugliest. Cannot apply rule “scared ⇒ fearless” because missing: scared. fancy ⇒ clumsy clumsy ⇒ average Cannot apply rule “witty ∧ average ∧ cruel ⇒ fearless” because missing: witty. Cannot apply rule “cruel ∧ silly ⇒ fearles...
0
7
Facts: Batman is ugliest [PERIOD] Batman is attractive [PERIOD] Batman is foolish [PERIOD] Batman is careless [PERIOD] Batman is vivacious [PERIOD] Batman is tidy [PERIOD] Rules: careless [AND] serious [IMPLY] hilarious [PERIOD] different [AND] attractive [AND] good [IMPLY] tidy [PERIOD] tense [AND] hilarious [AND] em...
Proof chain: careless ∧ tidy ∧ foolish ⇒ hilarious Cannot apply rule “tense ∧ hilarious ∧ embarrassed ⇒ stupid” because missing: tense, embarrassed. careless ∧ tidy ∧ foolish ⇒ hilarious Cannot apply rule “tired ∧ serious ∧ hilarious ⇒ stupid” because missing: tired, serious. Cannot apply rule “embarrass...
0
7
Facts: Batman is bored [PERIOD] Rules: old-fashioned [IMPLY] amused [PERIOD] modern [AND] charming [IMPLY] hilarious [PERIOD] modern [AND] hilarious [IMPLY] disgusted [PERIOD] amused [AND] nervous [AND] old-fashioned [IMPLY] foolish [PERIOD] distinct [AND] modern [AND] charming [IMPLY] old-fashioned [PERIOD] hilarious...
Proof chain: bored ⇒ frightened frightened ⇒ gleaming gleaming ⇒ disobedient disobedient ⇒ foolish bored ⇒ frightened foolish ∧ frightened ⇒ diplomatic diplomatic ⇒ confident
1
7
Facts: Batman is agreeable [PERIOD] Batman is worrisome [PERIOD] Rules: dishonest [AND] condemned [AND] mysterious [IMPLY] uptight [PERIOD] diplomatic [IMPLY] condemned [PERIOD] loving [AND] mysterious [AND] excited [IMPLY] condemned [PERIOD] joyous [AND] diplomatic [AND] agreeable [IMPLY] excited [PERIOD] fine [IMPLY...
Proof chain: worrisome ⇒ talented talented ⇒ fine fine ⇒ silly silly ⇒ mysterious Cannot apply rule “dishonest ∧ mysterious ⇒ diplomatic” because missing: dishonest. worrisome ⇒ talented Cannot apply rule “joyous ∧ talented ∧ condemned ⇒ diplomatic” because missing: joyous, condemned.
0
7
Facts: Batman is bossy [PERIOD] Rules: rational [AND] ugly [AND] bossy [IMPLY] crowded [PERIOD] ugly [IMPLY] bossy [PERIOD] rational [AND] ugly [AND] sincere [IMPLY] bossy [PERIOD] ugly [AND] sincere [AND] bossy [IMPLY] crowded [PERIOD] bossy [AND] sincere [AND] crowded [IMPLY] ugly [PERIOD] bossy [AND] rational [IMPL...
Proof chain: Cannot apply rule “rational ∧ ugly ∧ bossy ⇒ crowded” because missing: rational, ugly. bossy ⇒ sincere Cannot apply rule “ugly ∧ sincere ∧ bossy ⇒ crowded” because missing: ugly. Cannot apply rule “ugly ⇒ crowded” because missing: ugly. Cannot apply rule “rational ⇒ crowded” because missing:...
0
7
Facts: Batman is rational [PERIOD] Rules: mean [AND] rational [AND] stormy [IMPLY] grumpy [PERIOD] mean [IMPLY] rational [PERIOD] rational [AND] stubborn [AND] bad-tempered [IMPLY] mean [PERIOD] mean [AND] stubborn [IMPLY] grumpy [PERIOD] bad-tempered [IMPLY] grumpy [PERIOD] adorable [AND] rational [IMPLY] grumpy [PER...
Proof chain: Cannot apply rule “mean ∧ rational ∧ stormy ⇒ grumpy” because missing: mean, stormy. Cannot apply rule “mean ∧ stubborn ⇒ grumpy” because missing: mean, stubborn. Cannot apply rule “bad-tempered ⇒ grumpy” because missing: bad-tempered. Cannot apply rule “adorable ∧ rational ⇒ grumpy” because mi...
0
7
Facts: Batman is dishonest [PERIOD] Batman is lonely [PERIOD] Batman is modern [PERIOD] Rules: supportive [AND] blushing [IMPLY] average [PERIOD] nervous [IMPLY] modern [PERIOD] supportive [IMPLY] dishonest [PERIOD] frail [AND] lonely [IMPLY] modern [PERIOD] beautiful [IMPLY] alert [PERIOD] mean [IMPLY] troubled [PERI...
Proof chain: dishonest ⇒ attentive dishonest ∧ attentive ⇒ nervous nervous ⇒ mean mean ⇒ troubled dishonest ⇒ attentive attentive ∧ lonely ⇒ alert modern ∧ troubled ∧ alert ⇒ supportive
1
7
Facts: Rules: strange [AND] supportive [AND] courageous [IMPLY] curious [PERIOD] wide-eyed [AND] busy [AND] aggressive [IMPLY] courageous [PERIOD] tame [IMPLY] disobedient [PERIOD] aggressive [IMPLY] messy [PERIOD] glamorous [AND] shiny [AND] inquisitive [IMPLY] curious [PERIOD] shiny [AND] curious [IMPLY] intellectua...
Proof chain: Cannot apply rule “strange ∧ supportive ∧ courageous ⇒ curious” because missing: strange, supportive, courageous. Cannot apply rule “glamorous ∧ shiny ∧ inquisitive ⇒ curious” because missing: glamorous, shiny, inquisitive. Cannot apply rule “courageous ∧ busy ⇒ curious” because missing: courageou...
0
7
Facts: Batman is elegant [PERIOD] Rules: courageous [AND] curious [IMPLY] clumsy [PERIOD] lucky [AND] stupid [IMPLY] gorgeous [PERIOD] condemned [AND] unpleasant [IMPLY] zealous [PERIOD] bossy [AND] glamorous [IMPLY] confused [PERIOD] wrong [AND] attentive [IMPLY] lucky [PERIOD] clumsy [AND] elegant [IMPLY] glamorous ...
Proof chain: elegant ⇒ inexpensive inexpensive ∧ elegant ⇒ lucky elegant ∧ lucky ⇒ stupid elegant ⇒ inexpensive inexpensive ⇒ gorgeous gorgeous ⇒ proud stupid ∧ proud ⇒ unpleasant
1
7
Facts: Batman is beautiful [PERIOD] Rules: weary [AND] clean [AND] bad-tempered [IMPLY] stupid [PERIOD] disgusted [AND] bad-tempered [IMPLY] old-fashioned [PERIOD] cute [AND] fancy [IMPLY] careless [PERIOD] weary [AND] cute [AND] stupid [IMPLY] muddy [PERIOD] victorious [IMPLY] bad-tempered [PERIOD] gifted [AND] amuse...
Proof chain: beautiful ⇒ victorious victorious ⇒ crowded beautiful ⇒ victorious victorious ⇒ bad-tempered crowded ∧ bad-tempered ⇒ muddy muddy ⇒ gorgeous gorgeous ⇒ condemned
1
7
Facts: Rules: gorgeous [AND] careless [AND] excited [IMPLY] disobedient [PERIOD] careless [AND] zealous [IMPLY] gorgeous [PERIOD] careless [AND] bad-tempered [AND] rude [IMPLY] sleepy [PERIOD] sleepy [AND] confused [AND] careless [IMPLY] disobedient [PERIOD] gorgeous [AND] inquisitive [IMPLY] stubborn [PERIOD] inquisi...
Proof chain: Cannot apply rule “gorgeous ∧ inquisitive ⇒ stubborn” because missing: gorgeous, inquisitive. Cannot apply rule “inquisitive ∧ excited ∧ bad-tempered ⇒ stubborn” because missing: inquisitive, excited, bad-tempered. Cannot apply rule “careless ⇒ stubborn” because missing: careless. Cannot apply ...
0
7
Facts: Rules: stormy [AND] calm [IMPLY] sensible [PERIOD] stormy [AND] bossy [AND] horrible [IMPLY] mysterious [PERIOD] calm [AND] bossy [AND] busy [IMPLY] fearless [PERIOD] mysterious [AND] famous [AND] fearless [IMPLY] anxious [PERIOD] mysterious [AND] busy [AND] stormy [IMPLY] shiny [PERIOD] shiny [AND] mysterious ...
Proof chain: Cannot apply rule “shiny ∧ mysterious ⇒ busy” because missing: shiny, mysterious. Cannot apply rule “bossy ∧ sensible ⇒ busy” because missing: bossy, sensible. Cannot apply rule “horrible ∧ calm ∧ bossy ⇒ busy” because missing: horrible, calm, bossy. Cannot apply rule “anxious ⇒ busy” because m...
0
7
Facts: Batman is inquisitive [PERIOD] Batman is serious [PERIOD] Batman is hilarious [PERIOD] Batman is courageous [PERIOD] Rules: versatile [IMPLY] powerful [PERIOD] embarrassed [AND] distinct [AND] broad-minded [IMPLY] attentive [PERIOD] distinct [IMPLY] sensible [PERIOD] attentive [AND] embarrassed [AND] distinct [...
Proof chain: serious ⇒ elated hilarious ∧ elated ⇒ sensible sensible ⇒ distinct hilarious ∧ courageous ⇒ gorgeous serious ⇒ elated gorgeous ∧ elated ∧ serious ⇒ pleasant distinct ∧ hilarious ∧ pleasant ⇒ joyous
1
7
Facts: Batman is mysterious [PERIOD] Rules: anxious [AND] elated [IMPLY] spotless [PERIOD] hilarious [AND] elegant [AND] stormy [IMPLY] elated [PERIOD] hilarious [IMPLY] worrisome [PERIOD] naughty [AND] disobedient [IMPLY] spotless [PERIOD] combative [AND] hilarious [IMPLY] straightforward [PERIOD] mysterious [AND] na...
Proof chain: Cannot apply rule “anxious ∧ glamorous ⇒ combative” because missing: anxious, glamorous. Cannot apply rule “selfish ∧ mysterious ∧ straightforward ⇒ combative” because missing: selfish, straightforward. Cannot apply rule “mysterious ∧ hilarious ⇒ combative” because missing: hilarious. Cannot ap...
0
7
Facts: Batman is excited [PERIOD] Batman is aggressive [PERIOD] Batman is gorgeous [PERIOD] Batman is condemned [PERIOD] Batman is wide-eyed [PERIOD] Batman is tired [PERIOD] Batman is weary [PERIOD] Batman is calm [PERIOD] Batman is cruel [PERIOD] Batman is loving [PERIOD] Batman is naughty [PERIOD] Rules: loving [AN...
Proof chain: gorgeous ∧ aggressive ∧ calm ⇒ exuberant aggressive ⇒ nervous weary ∧ exuberant ∧ nervous ⇒ dull Cannot apply rule “difficult ∧ dull ⇒ attentive” because missing: difficult. gorgeous ∧ aggressive ∧ calm ⇒ exuberant exuberant ∧ condemned ∧ excited ⇒ bossy Cannot apply rule “bossy ∧ bad-...
0
7
Facts: Batman is inexpensive [PERIOD] Batman is proud [PERIOD] Rules: worried [AND] fancy [IMPLY] outstanding [PERIOD] fancy [AND] gleaming [AND] powerful [IMPLY] worrisome [PERIOD] inexpensive [IMPLY] confident [PERIOD] smart [IMPLY] selfish [PERIOD] outstanding [AND] selfish [AND] quaint [IMPLY] inexpensive [PERIOD]...
Proof chain: inexpensive ⇒ confident inexpensive ⇒ confident confident ⇒ elated proud ∧ elated ⇒ fancy inexpensive ∧ fancy ⇒ worried proud ∧ confident ∧ worried ⇒ messy messy ⇒ jittery
1
7
Facts: Batman is wrong [PERIOD] Rules: spotless [AND] different [AND] tidy [IMPLY] wrong [PERIOD] wrong [AND] spotless [IMPLY] different [PERIOD] tired [AND] wrong [IMPLY] tidy [PERIOD] tidy [AND] spotless [IMPLY] different [PERIOD] wrong [AND] different [AND] tidy [IMPLY] tired [PERIOD] wrong [AND] tidy [IMPLY] tired...
Proof chain: wrong ⇒ different Cannot apply rule “wrong ∧ different ∧ tidy ⇒ tired” because missing: tidy. Cannot apply rule “wrong ∧ tidy ⇒ tired” because missing: tidy. wrong ⇒ different Cannot apply rule “tidy ∧ different ⇒ tired” because missing: tidy. wrong ⇒ different Cannot apply rule “spotl...
0
7
Facts: Batman is long [PERIOD] Batman is zealous [PERIOD] Batman is shiny [PERIOD] Rules: attractive [AND] zealous [IMPLY] intellectual [PERIOD] zealous [AND] curious [IMPLY] thoughtful [PERIOD] alert [AND] horrible [IMPLY] aggressive [PERIOD] sincere [AND] helpful [AND] intellectual [IMPLY] reserved [PERIOD] intellec...
Proof chain: long ⇒ stormy long ⇒ stormy stormy ⇒ powerful zealous ⇒ difficult difficult ⇒ aggressive long ∧ aggressive ⇒ bad-tempered stormy ∧ powerful ∧ bad-tempered ⇒ helpful
1
7
Facts: Rules: scared [IMPLY] bright [PERIOD] clean [AND] bright [AND] agreeable [IMPLY] glamorous [PERIOD] horrible [IMPLY] reserved [PERIOD] agreeable [AND] helpful [IMPLY] lucky [PERIOD] clean [AND] scared [IMPLY] glamorous [PERIOD] exuberant [AND] lucky [AND] supportive [IMPLY] reserved [PERIOD] disobedient [AND] c...
Proof chain: Cannot apply rule “difficult ⇒ supportive” because missing: difficult. Cannot apply rule “distinct ⇒ supportive” because missing: distinct. Cannot apply rule “horrible ∧ reserved ∧ agreeable ⇒ supportive” because missing: horrible, reserved, agreeable. Cannot apply rule “lucky ⇒ supportive” bec...
0
7
Facts: Batman is fragile [PERIOD] Batman is tame [PERIOD] Batman is perfect [PERIOD] Rules: comfortable [AND] thoughtless [IMPLY] intellectual [PERIOD] tame [AND] long [AND] popular [IMPLY] witty [PERIOD] victorious [AND] bright [AND] friendly [IMPLY] adorable [PERIOD] supportive [AND] sleepy [IMPLY] intellectual [PER...
Proof chain: tame ⇒ sensible sensible ⇒ witty tame ⇒ comfortable witty ∧ comfortable ⇒ popular popular ⇒ tidy fragile ∧ tidy ⇒ adorable fragile ∧ adorable ⇒ sleepy
1
7
Facts: Batman is confused [PERIOD] Batman is innocent [PERIOD] Rules: glamorous [AND] broad-minded [IMPLY] polite [PERIOD] glamorous [IMPLY] versatile [PERIOD] confused [AND] lonely [AND] fine [IMPLY] glamorous [PERIOD] fine [AND] glamorous [AND] confused [IMPLY] lonely [PERIOD] glamorous [IMPLY] polite [PERIOD] confu...
Proof chain: confused ⇒ lonely Cannot apply rule “confused ∧ lonely ∧ fine ⇒ glamorous” because missing: fine. confused ⇒ lonely Cannot apply rule “broad-minded ∧ lonely ⇒ glamorous” because missing: broad-minded. confused ⇒ lonely innocent ⇒ polite Cannot apply rule “versatile ∧ lonely ∧ polite ⇒ ...
0
7
Facts: Rules: troubled [AND] attractive [AND] good [IMPLY] worrisome [PERIOD] adorable [AND] good [AND] quaint [IMPLY] long [PERIOD] quaint [AND] perfect [AND] long [IMPLY] thoughtful [PERIOD] easy [AND] worried [AND] attractive [IMPLY] outstanding [PERIOD] fine [AND] worrisome [AND] thoughtful [IMPLY] stubborn [PERIO...
Proof chain: Cannot apply rule “long ∧ thoughtful ⇒ clumsy” because missing: long, thoughtful. Cannot apply rule “fine ∧ attractive ∧ tired ⇒ clumsy” because missing: fine, attractive, tired. Cannot apply rule “long ∧ stubborn ⇒ clumsy” because missing: long, stubborn. Cannot apply rule “attractive ∧ impart...
0
7
Facts: Batman is sensible [PERIOD] Batman is spotless [PERIOD] Batman is blushing [PERIOD] Rules: vivacious [IMPLY] enchanting [PERIOD] enchanting [AND] blushing [AND] average [IMPLY] wide-eyed [PERIOD] elated [IMPLY] powerful [PERIOD] witty [IMPLY] fine [PERIOD] anxious [IMPLY] enchanting [PERIOD] wrong [AND] ambitio...
Proof chain: sensible ⇒ ugliest ugliest ⇒ average sensible ⇒ ugliest ugliest ⇒ average blushing ⇒ grumpy average ∧ grumpy ⇒ careless Cannot apply rule “powerful ∧ average ∧ careless ⇒ vivacious” because missing: powerful.
0
7
Facts: Batman is fine [PERIOD] Batman is horrible [PERIOD] Batman is selfish [PERIOD] Batman is proud [PERIOD] Batman is talkative [PERIOD] Rules: lucky [AND] proud [IMPLY] stormy [PERIOD] gorgeous [IMPLY] stormy [PERIOD] bored [AND] talkative [AND] serious [IMPLY] proud [PERIOD] lucky [AND] proud [AND] pleasant [IMPL...
Proof chain: Cannot apply rule “outstanding ∧ good ∧ distinct ⇒ confused” because missing: outstanding, good, distinct. horrible ∧ selfish ⇒ straightforward Cannot apply rule “distinct ∧ bored ∧ straightforward ⇒ confused” because missing: distinct, bored. Cannot apply rule “sensible ⇒ confused” because mis...
0
7
Facts: Batman is pleasant [PERIOD] Rules: curious [IMPLY] excited [PERIOD] polite [AND] jittery [AND] condemned [IMPLY] attentive [PERIOD] polite [IMPLY] condemned [PERIOD] scared [IMPLY] confused [PERIOD] pleasant [AND] attentive [IMPLY] scared [PERIOD] condemned [AND] talented [AND] confused [IMPLY] pleasant [PERIOD...
Proof chain: Cannot apply rule “talented ∧ enchanting ⇒ polite” because missing: talented, enchanting. Cannot apply rule “shy ∧ curious ∧ joyous ⇒ polite” because missing: shy, curious, joyous. Cannot apply rule “shy ⇒ polite” because missing: shy. Cannot apply rule “jittery ∧ enchanting ∧ joyous ⇒ polite” ...
0
7
Facts: Batman is courageous [PERIOD] Batman is jittery [PERIOD] Batman is popular [PERIOD] Batman is gifted [PERIOD] Batman is comfortable [PERIOD] Batman is shiny [PERIOD] Rules: victorious [IMPLY] selfish [PERIOD] straightforward [AND] long [IMPLY] precious [PERIOD] charming [IMPLY] long [PERIOD] elated [AND] jitter...
Proof chain: jittery ∧ popular ⇒ charming comfortable ∧ charming ⇒ ugly jittery ∧ popular ⇒ charming ugly ∧ charming ⇒ straightforward popular ⇒ long straightforward ∧ long ⇒ precious precious ⇒ uptight
1
7
Facts: Batman is impartial [PERIOD] Rules: bad-tempered [AND] nervous [IMPLY] perfect [PERIOD] careless [IMPLY] gleaming [PERIOD] impartial [AND] courageous [AND] combative [IMPLY] perfect [PERIOD] gleaming [AND] combative [IMPLY] courageous [PERIOD] gleaming [IMPLY] combative [PERIOD] talented [AND] careless [AND] gl...
Proof chain: impartial ⇒ nervous impartial ⇒ nervous nervous ⇒ bad-tempered impartial ⇒ nervous bad-tempered ∧ nervous ⇒ perfect perfect ⇒ careless impartial ∧ nervous ∧ careless ⇒ talented
1
7
Facts: Rules: helpless [AND] naughty [AND] serious [IMPLY] calm [PERIOD] serious [AND] worrisome [IMPLY] naughty [PERIOD] tired [AND] amused [IMPLY] calm [PERIOD] calm [IMPLY] helpless [PERIOD] naughty [AND] serious [AND] calm [IMPLY] helpless [PERIOD] calm [AND] amused [AND] polite [IMPLY] helpless [PERIOD] polite [I...
Proof chain: Cannot apply rule “calm ⇒ helpless” because missing: calm. Cannot apply rule “naughty ∧ serious ∧ calm ⇒ helpless” because missing: naughty, serious, calm. Cannot apply rule “calm ∧ amused ∧ polite ⇒ helpless” because missing: calm, amused, polite. Cannot apply rule “tidy ∧ polite ⇒ helpless” b...
0
7
Facts: Rules: embarrassed [AND] helpful [AND] polite [IMPLY] powerful [PERIOD] polite [IMPLY] embarrassed [PERIOD] fragile [AND] embarrassed [AND] frail [IMPLY] helpful [PERIOD] distinct [AND] pleasant [AND] polite [IMPLY] powerful [PERIOD] ugly [AND] fragile [AND] sincere [IMPLY] pessimistic [PERIOD] fragile [AND] ug...
Proof chain: Cannot apply rule “ugly ∧ fragile ∧ sincere ⇒ pessimistic” because missing: ugly, fragile, sincere. Cannot apply rule “busy ⇒ pessimistic” because missing: busy. Cannot apply rule “rude ⇒ pessimistic” because missing: rude. Cannot apply rule “ugly ∧ frail ⇒ pessimistic” because missing: ugly, f...
0
7
Facts: Batman is rude [PERIOD] Batman is helpful [PERIOD] Batman is adorable [PERIOD] Batman is condemned [PERIOD] Rules: helpful [AND] plain [AND] rude [IMPLY] modern [PERIOD] zealous [IMPLY] rude [PERIOD] adorable [IMPLY] ugly [PERIOD] condemned [AND] distinct [IMPLY] worrisome [PERIOD] shy [AND] rude [AND] worrisom...
Proof chain: adorable ⇒ ugly adorable ⇒ ugly ugly ⇒ modern ugly ∧ rude ∧ modern ⇒ shy helpful ⇒ distinct condemned ∧ distinct ⇒ worrisome shy ∧ rude ∧ worrisome ⇒ bossy
1
7
Facts: Batman is powerful [PERIOD] Batman is jittery [PERIOD] Batman is hypocritical [PERIOD] Batman is dull [PERIOD] Batman is tidy [PERIOD] Batman is curious [PERIOD] Batman is helpful [PERIOD] Rules: perfect [AND] average [IMPLY] glamorous [PERIOD] dull [AND] jittery [AND] powerful [IMPLY] long [PERIOD] mean [AND] ...
Proof chain: powerful ⇒ witty hypocritical ⇒ attractive attractive ∧ hypocritical ∧ helpful ⇒ anxious hypocritical ⇒ blushing blushing ⇒ thoughtful witty ∧ anxious ∧ thoughtful ⇒ comfortable comfortable ⇒ condemned
1
7
Facts: Batman is zealous [PERIOD] Rules: aggressive [AND] proud [IMPLY] blushing [PERIOD] condemned [IMPLY] hypocritical [PERIOD] tame [AND] loving [IMPLY] condemned [PERIOD] loving [IMPLY] mysterious [PERIOD] amused [AND] fancy [IMPLY] light [PERIOD] fancy [AND] stubborn [AND] cruel [IMPLY] uptight [PERIOD] mysteriou...
Proof chain: zealous ⇒ ambitious ambitious ⇒ proud zealous ⇒ stubborn stubborn ⇒ disobedient zealous ⇒ uptight uptight ⇒ blushing proud ∧ disobedient ∧ blushing ⇒ amused
1
7
Facts: Batman is intellectual [PERIOD] Batman is condemned [PERIOD] Batman is reserved [PERIOD] Rules: condemned [AND] polite [AND] lucky [IMPLY] horrible [PERIOD] polite [IMPLY] perfect [PERIOD] impatient [AND] condemned [AND] intellectual [IMPLY] perfect [PERIOD] polite [AND] perfect [AND] intellectual [IMPLY] innoc...
Proof chain: reserved ⇒ tender intellectual ∧ tender ⇒ horrible horrible ⇒ messy condemned ⇒ perfect perfect ⇒ polite condemned ⇒ innocent messy ∧ polite ∧ innocent ⇒ impatient
1
7
Facts: Batman is alert [PERIOD] Batman is nervous [PERIOD] Batman is fancy [PERIOD] Rules: confident [IMPLY] disobedient [PERIOD] fearless [IMPLY] impatient [PERIOD] average [AND] fearless [AND] wandering [IMPLY] good [PERIOD] jittery [IMPLY] difficult [PERIOD] disobedient [AND] fearless [AND] rational [IMPLY] impatie...
Proof chain: nervous ⇒ witty witty ⇒ disobedient disobedient ⇒ fearless fearless ⇒ impatient impatient ∧ alert ⇒ jittery jittery ⇒ difficult difficult ⇒ rational
1
7
Facts: Rules: polite [AND] busy [AND] confused [IMPLY] scared [PERIOD] nervous [IMPLY] clean [PERIOD] scared [AND] impartial [AND] hilarious [IMPLY] helpful [PERIOD] scared [IMPLY] helpless [PERIOD] witty [AND] smart [IMPLY] victorious [PERIOD] selfish [AND] precious [IMPLY] tender [PERIOD] witty [AND] hilarious [IMPL...
Proof chain: Cannot apply rule “clean ∧ scared ∧ hilarious ⇒ modern” because missing: clean, scared, hilarious. Cannot apply rule “precious ∧ nervous ⇒ modern” because missing: precious, nervous. Cannot apply rule “disgusted ⇒ modern” because missing: disgusted. Cannot apply rule “victorious ∧ smart ∧ selfi...
0
7
Facts: Batman is average [PERIOD] Batman is shy [PERIOD] Rules: good [IMPLY] bored [PERIOD] courageous [IMPLY] uptight [PERIOD] worried [AND] horrible [AND] shy [IMPLY] good [PERIOD] worried [AND] elegant [AND] bored [IMPLY] ambitious [PERIOD] bored [AND] average [IMPLY] ambitious [PERIOD] shy [IMPLY] average [PERIOD]...
Proof chain: average ⇒ ambitious ambitious ∧ shy ⇒ aggressive average ⇒ ambitious average ⇒ pleasant ambitious ∧ pleasant ⇒ worried aggressive ∧ worried ⇒ clean clean ⇒ exuberant
1
7
Facts: Batman is helpless [PERIOD] Batman is popular [PERIOD] Rules: uptight [AND] confused [AND] popular [IMPLY] tired [PERIOD] scared [AND] stubborn [AND] tired [IMPLY] helpless [PERIOD] comfortable [AND] tired [AND] bad-tempered [IMPLY] mean [PERIOD] comfortable [AND] bad-tempered [IMPLY] clumsy [PERIOD] innocent [...
Proof chain: Cannot apply rule “zealous ⇒ comfortable” because missing: zealous. Cannot apply rule “bad-tempered ∧ mean ∧ uptight ⇒ comfortable” because missing: bad-tempered, mean, uptight. Cannot apply rule “mean ∧ tired ⇒ comfortable” because missing: mean, tired. Cannot apply rule “bad-tempered ∧ mean ⇒...
0
7
Facts: Rules: careless [AND] wrong [AND] worried [IMPLY] ambitious [PERIOD] wrong [AND] helpful [IMPLY] inexpensive [PERIOD] wrong [IMPLY] helpful [PERIOD] ambitious [AND] wandering [IMPLY] bossy [PERIOD] comfortable [AND] ambitious [IMPLY] bossy [PERIOD] witty [IMPLY] wandering [PERIOD] witty [AND] wandering [AND] un...
Proof chain: Cannot apply rule “ambitious ∧ wandering ⇒ bossy” because missing: ambitious, wandering. Cannot apply rule “comfortable ∧ ambitious ⇒ bossy” because missing: comfortable, ambitious. Cannot apply rule “selfish ∧ helpful ∧ comfortable ⇒ bossy” because missing: selfish, helpful, comfortable. Canno...
0
7
Facts: Batman is different [PERIOD] Batman is vivacious [PERIOD] Batman is famous [PERIOD] Batman is selfish [PERIOD] Batman is blushing [PERIOD] Batman is silly [PERIOD] Rules: different [AND] loving [AND] friendly [IMPLY] intellectual [PERIOD] hypocritical [AND] good [IMPLY] nervous [PERIOD] smart [AND] good [IMPLY]...
Proof chain: different ⇒ lucky famous ⇒ tired tired ⇒ straightforward straightforward ⇒ smart blushing ∧ lucky ∧ smart ⇒ ambitious ambitious ⇒ agreeable blushing ∧ agreeable ⇒ sensible
1
7
Facts: Batman is worried [PERIOD] Batman is quaint [PERIOD] Batman is enchanting [PERIOD] Batman is vivacious [PERIOD] Batman is cruel [PERIOD] Batman is ambitious [PERIOD] Batman is muddy [PERIOD] Rules: perfect [AND] loving [IMPLY] cooperative [PERIOD] gifted [AND] ambitious [IMPLY] anxious [PERIOD] vivacious [IMPLY...
Proof chain: worried ⇒ gifted gifted ⇒ bored ambitious ⇒ friendly vivacious ⇒ gorgeous vivacious ∧ enchanting ⇒ bad-tempered gorgeous ∧ bad-tempered ∧ enchanting ⇒ alert bored ∧ friendly ∧ alert ⇒ loving
1
7
Facts: Batman is old-fashioned [PERIOD] Batman is light [PERIOD] Batman is fancy [PERIOD] Batman is different [PERIOD] Batman is powerful [PERIOD] Batman is smart [PERIOD] Batman is cooperative [PERIOD] Batman is crowded [PERIOD] Rules: different [AND] cooperative [IMPLY] glamorous [PERIOD] elegant [AND] fancy [AND] l...
Proof chain: cooperative ⇒ elegant different ∧ cooperative ⇒ glamorous Cannot apply rule “enchanting ∧ elegant ∧ glamorous ⇒ homely” because missing: enchanting. cooperative ⇒ elegant different ∧ elegant ⇒ broad-minded broad-minded ⇒ lonely Cannot apply rule “lonely ∧ smart ∧ zealous ⇒ homely” beca...
0
7
Facts: Batman is confused [PERIOD] Rules: disobedient [IMPLY] anxious [PERIOD] anxious [AND] disobedient [IMPLY] lucky [PERIOD] pessimistic [AND] lucky [AND] confused [IMPLY] disobedient [PERIOD] disobedient [AND] pessimistic [IMPLY] anxious [PERIOD] disobedient [AND] anxious [AND] pessimistic [IMPLY] lucky [PERIOD] a...
Proof chain: Cannot apply rule “anxious ∧ disobedient ⇒ lucky” because missing: anxious, disobedient. confused ⇒ pessimistic Cannot apply rule “disobedient ∧ anxious ∧ pessimistic ⇒ lucky” because missing: disobedient, anxious. Cannot apply rule “anxious ⇒ lucky” because missing: anxious. confused ⇒ pess...
0
7
Facts: Batman is frail [PERIOD] Batman is glamorous [PERIOD] Rules: wrong [AND] thoughtless [AND] frail [IMPLY] uptight [PERIOD] frail [AND] average [AND] glamorous [IMPLY] confident [PERIOD] wrong [AND] uptight [AND] frail [IMPLY] confident [PERIOD] glamorous [AND] average [IMPLY] confident [PERIOD] average [AND] upt...
Proof chain: Cannot apply rule “average ∧ uptight ⇒ wrong” because missing: average, uptight. Cannot apply rule “thoughtless ∧ average ∧ glamorous ⇒ wrong” because missing: thoughtless, average. frail ⇒ confident Cannot apply rule “thoughtless ∧ confident ∧ average ⇒ wrong” because missing: thoughtless, ave...
0
7
Facts: Batman is fine [PERIOD] Batman is smart [PERIOD] Batman is elated [PERIOD] Rules: troubled [IMPLY] smart [PERIOD] worried [AND] wide-eyed [IMPLY] tame [PERIOD] worried [AND] troubled [IMPLY] stupid [PERIOD] tender [AND] hurt [AND] famous [IMPLY] inexpensive [PERIOD] inexpensive [IMPLY] ugliest [PERIOD] zealous ...
Proof chain: smart ⇒ ugliest ugliest ⇒ zealous zealous ⇒ hurt smart ⇒ ugliest ugliest ⇒ zealous zealous ⇒ troubled fine ∧ hurt ∧ troubled ⇒ talkative
1
7
Facts: Batman is curious [PERIOD] Batman is intellectual [PERIOD] Batman is clumsy [PERIOD] Batman is disobedient [PERIOD] Rules: long [AND] curious [AND] cooperative [IMPLY] disobedient [PERIOD] sleepy [AND] broad-minded [AND] tired [IMPLY] modern [PERIOD] intellectual [IMPLY] grumpy [PERIOD] cooperative [IMPLY] outr...
Proof chain: intellectual ⇒ grumpy intellectual ∧ disobedient ⇒ long disobedient ⇒ helpless long ∧ helpless ⇒ sleepy intellectual ∧ disobedient ⇒ long long ⇒ beautiful grumpy ∧ sleepy ∧ beautiful ⇒ naughty
1
7
Facts: Rules: foolish [AND] average [IMPLY] courageous [PERIOD] distinct [AND] bright [IMPLY] courageous [PERIOD] bright [AND] outrageous [AND] average [IMPLY] pessimistic [PERIOD] courageous [AND] weary [AND] dishonest [IMPLY] bright [PERIOD] distinct [AND] joyous [IMPLY] outrageous [PERIOD] joyous [AND] bright [AND]...
Proof chain: Cannot apply rule “foolish ∧ average ⇒ courageous” because missing: foolish, average. Cannot apply rule “distinct ∧ bright ⇒ courageous” because missing: distinct, bright. Cannot apply rule “outrageous ⇒ courageous” because missing: outrageous. Cannot apply rule “witty ⇒ courageous” because mis...
0
7
Facts: Batman is dishonest [PERIOD] Batman is clumsy [PERIOD] Batman is aggressive [PERIOD] Batman is supportive [PERIOD] Batman is witty [PERIOD] Rules: calm [IMPLY] average [PERIOD] dishonest [AND] comfortable [AND] aggressive [IMPLY] stormy [PERIOD] ugliest [AND] tired [IMPLY] beautiful [PERIOD] sincere [IMPLY] agg...
Proof chain: supportive ⇒ strange aggressive ⇒ easy strange ∧ easy ∧ supportive ⇒ famous famous ⇒ comfortable dishonest ∧ comfortable ∧ aggressive ⇒ stormy stormy ⇒ ugliest ugliest ∧ aggressive ⇒ weary
1
7
Facts: Batman is foolish [PERIOD] Batman is frantic [PERIOD] Rules: thoughtful [AND] frantic [IMPLY] foolish [PERIOD] foolish [AND] vivacious [IMPLY] anxious [PERIOD] calm [IMPLY] anxious [PERIOD] calm [AND] difficult [AND] thoughtful [IMPLY] bad-tempered [PERIOD] vivacious [AND] foolish [AND] frantic [IMPLY] bad-temp...
Proof chain: Cannot apply rule “calm ∧ difficult ∧ thoughtful ⇒ bad-tempered” because missing: calm, difficult, thoughtful. Cannot apply rule “vivacious ∧ foolish ∧ frantic ⇒ bad-tempered” because missing: vivacious. Cannot apply rule “vivacious ∧ frantic ⇒ bad-tempered” because missing: vivacious. Cannot a...
0
7
Facts: Batman is gleaming [PERIOD] Rules: inexpensive [AND] average [AND] exuberant [IMPLY] victorious [PERIOD] average [AND] mean [IMPLY] tidy [PERIOD] mean [IMPLY] inexpensive [PERIOD] inexpensive [AND] clean [IMPLY] tame [PERIOD] exuberant [AND] victorious [AND] tame [IMPLY] inexpensive [PERIOD] clean [IMPLY] tidy ...
Proof chain: gleaming ⇒ mean mean ⇒ inexpensive gleaming ⇒ mean gleaming ⇒ mean mean ⇒ clean clean ⇒ tidy inexpensive ∧ mean ∧ tidy ⇒ average
1
7
Facts: Rules: anxious [IMPLY] quaint [PERIOD] proud [AND] beautiful [AND] elated [IMPLY] calm [PERIOD] beautiful [AND] proud [IMPLY] sleepy [PERIOD] quaint [AND] anxious [AND] bad-tempered [IMPLY] beautiful [PERIOD] proud [AND] bad-tempered [AND] elated [IMPLY] sleepy [PERIOD] anxious [AND] quaint [AND] calm [IMPLY] b...
Proof chain: Cannot apply rule “proud ∧ beautiful ∧ elated ⇒ calm” because missing: proud, beautiful, elated. Cannot apply rule “anxious ⇒ calm” because missing: anxious. Cannot apply rule “proud ⇒ calm” because missing: proud. Cannot apply rule “bad-tempered ∧ beautiful ⇒ calm” because missing: bad-tempere...
0
7
Facts: Batman is distinct [PERIOD] Batman is glamorous [PERIOD] Batman is silly [PERIOD] Batman is versatile [PERIOD] Batman is joyous [PERIOD] Batman is worrisome [PERIOD] Batman is thoughtless [PERIOD] Batman is dull [PERIOD] Rules: confused [AND] anxious [AND] plain [IMPLY] tense [PERIOD] weary [AND] sensible [IMPL...
Proof chain: glamorous ∧ thoughtless ∧ distinct ⇒ hilarious hilarious ⇒ curious glamorous ∧ thoughtless ∧ distinct ⇒ hilarious joyous ⇒ plain hilarious ∧ plain ⇒ shy joyous ∧ distinct ∧ shy ⇒ modern curious ∧ versatile ∧ modern ⇒ rational
1
7
Facts: Rules: sensible [AND] precious [IMPLY] troubled [PERIOD] zealous [AND] enchanting [AND] confused [IMPLY] adorable [PERIOD] zealous [IMPLY] talkative [PERIOD] difficult [AND] sensible [IMPLY] nervous [PERIOD] enchanting [AND] outstanding [AND] stormy [IMPLY] outrageous [PERIOD] outrageous [AND] stormy [AND] diff...
Proof chain: Cannot apply rule “sensible ∧ precious ⇒ troubled” because missing: sensible, precious. Cannot apply rule “uptight ∧ adorable ∧ sensible ⇒ troubled” because missing: uptight, adorable, sensible. Cannot apply rule “good ∧ enchanting ⇒ troubled” because missing: good, enchanting. Cannot apply rul...
0
7
Facts: Batman is strange [PERIOD] Batman is vivacious [PERIOD] Rules: selfish [AND] lucky [IMPLY] excited [PERIOD] inexpensive [AND] thoughtless [IMPLY] selfish [PERIOD] strange [AND] selfish [AND] tense [IMPLY] frantic [PERIOD] fine [IMPLY] bored [PERIOD] easy [IMPLY] thoughtless [PERIOD] fine [AND] strange [AND] fra...
Proof chain: Cannot apply rule “selfish ∧ lucky ⇒ excited” because missing: selfish, lucky. strange ⇒ zealous Cannot apply rule “zealous ∧ courageous ∧ curious ⇒ excited” because missing: courageous, curious. Cannot apply rule “courageous ∧ frantic ⇒ excited” because missing: courageous, frantic. Cannot ...
0
7
Facts: Batman is disgusted [PERIOD] Batman is rational [PERIOD] Rules: combative [AND] dishonest [AND] clumsy [IMPLY] muddy [PERIOD] rational [AND] disgusted [AND] combative [IMPLY] muddy [PERIOD] muddy [AND] combative [IMPLY] dishonest [PERIOD] muddy [IMPLY] rational [PERIOD] rational [AND] clumsy [AND] muddy [IMPLY]...
Proof chain: disgusted ⇒ combative rational ∧ disgusted ∧ combative ⇒ muddy disgusted ⇒ combative muddy ∧ combative ⇒ dishonest disgusted ⇒ combative rational ∧ disgusted ∧ combative ⇒ muddy dishonest ∧ muddy ⇒ bright
1
7
Facts: Batman is bossy [PERIOD] Batman is modern [PERIOD] Rules: homely [IMPLY] famous [PERIOD] homely [AND] bossy [AND] stormy [IMPLY] frantic [PERIOD] homely [AND] weary [IMPLY] anxious [PERIOD] spotless [IMPLY] anxious [PERIOD] bossy [AND] versatile [IMPLY] stupid [PERIOD] courageous [IMPLY] aggressive [PERIOD] fra...
Proof chain: bossy ⇒ anxious bossy ∧ modern ⇒ different bossy ⇒ anxious anxious ⇒ stormy different ∧ bossy ∧ stormy ⇒ famous anxious ∧ famous ⇒ courageous courageous ⇒ aggressive
1
7
Facts: Batman is lonely [PERIOD] Rules: weary [AND] average [IMPLY] tame [PERIOD] zealous [IMPLY] worrisome [PERIOD] innocent [AND] silly [IMPLY] clean [PERIOD] pleasant [AND] attentive [IMPLY] silly [PERIOD] stormy [AND] zealous [IMPLY] bright [PERIOD] tame [AND] pleasant [IMPLY] thoughtful [PERIOD] straightforward [...
Proof chain: lonely ⇒ dull lonely ⇒ dull lonely ∧ dull ⇒ weary lonely ∧ weary ⇒ gleaming gleaming ⇒ bright bright ⇒ scared dull ∧ scared ⇒ zealous
1
7
Facts: Batman is glamorous [PERIOD] Batman is bossy [PERIOD] Batman is busy [PERIOD] Rules: fancy [AND] busy [AND] precious [IMPLY] hurt [PERIOD] tame [AND] hurt [IMPLY] fancy [PERIOD] precious [AND] fancy [IMPLY] difficult [PERIOD] bossy [IMPLY] hurt [PERIOD] difficult [AND] hurt [IMPLY] diplomatic [PERIOD] difficult...
Proof chain: glamorous ⇒ difficult glamorous ⇒ difficult bossy ⇒ hurt difficult ∧ hurt ⇒ diplomatic glamorous ⇒ difficult diplomatic ∧ difficult ∧ glamorous ⇒ outstanding glamorous ∧ difficult ∧ outstanding ⇒ precious
1
7
Facts: Batman is good [PERIOD] Batman is gorgeous [PERIOD] Batman is lucky [PERIOD] Batman is tense [PERIOD] Batman is reserved [PERIOD] Rules: impatient [AND] agreeable [IMPLY] combative [PERIOD] confident [IMPLY] pleasant [PERIOD] lucky [AND] confident [AND] amused [IMPLY] attractive [PERIOD] pleasant [IMPLY] distin...
Proof chain: gorgeous ⇒ disgusted lucky ⇒ stormy tense ∧ stormy ⇒ confident confident ⇒ pleasant disgusted ∧ pleasant ⇒ silly lucky ⇒ stormy silly ∧ stormy ⇒ vivacious
1
7
Facts: Batman is bored [PERIOD] Batman is frail [PERIOD] Rules: adorable [AND] grumpy [AND] different [IMPLY] gifted [PERIOD] combative [IMPLY] homely [PERIOD] selfish [AND] grumpy [AND] calm [IMPLY] elated [PERIOD] versatile [AND] frail [IMPLY] different [PERIOD] selfish [IMPLY] charming [PERIOD] grumpy [IMPLY] selfi...
Proof chain: frail ⇒ excited frail ∧ excited ⇒ calm frail ⇒ excited excited ⇒ grumpy bored ⇒ homely grumpy ∧ homely ⇒ charming calm ∧ charming ⇒ elated
1
7
Facts: Batman is elegant [PERIOD] Batman is old-fashioned [PERIOD] Batman is sincere [PERIOD] Batman is lonely [PERIOD] Rules: lonely [AND] stupid [AND] outrageous [IMPLY] uptight [PERIOD] witty [IMPLY] elegant [PERIOD] tender [AND] old-fashioned [AND] blushing [IMPLY] uptight [PERIOD] stupid [IMPLY] agreeable [PERIOD...
Proof chain: sincere ⇒ outrageous Cannot apply rule “lonely ∧ stupid ∧ outrageous ⇒ uptight” because missing: stupid. lonely ∧ old-fashioned ⇒ strange strange ∧ old-fashioned ⇒ blushing Cannot apply rule “tender ∧ old-fashioned ∧ blushing ⇒ uptight” because missing: tender. old-fashioned ∧ elegant ⇒ a...
0
7
Facts: Batman is blushing [PERIOD] Batman is glamorous [PERIOD] Batman is fearless [PERIOD] Rules: frail [AND] famous [IMPLY] blushing [PERIOD] blushing [AND] wrong [AND] amused [IMPLY] long [PERIOD] impatient [AND] wrong [IMPLY] amused [PERIOD] frail [AND] long [AND] amused [IMPLY] difficult [PERIOD] difficult [AND] ...
Proof chain: blushing ∧ fearless ⇒ famous famous ⇒ difficult blushing ∧ fearless ⇒ famous famous ⇒ difficult blushing ∧ fearless ⇒ famous difficult ∧ glamorous ∧ famous ⇒ wrong difficult ∧ wrong ⇒ long
1
7
Facts: Batman is gleaming [PERIOD] Batman is wrong [PERIOD] Batman is comfortable [PERIOD] Batman is exuberant [PERIOD] Batman is popular [PERIOD] Batman is silly [PERIOD] Batman is powerful [PERIOD] Batman is straightforward [PERIOD] Batman is grumpy [PERIOD] Batman is mean [PERIOD] Batman is troubled [PERIOD] Batman...
Proof chain: grumpy ∧ straightforward ∧ exuberant ⇒ different exuberant ∧ different ∧ worrisome ⇒ broad-minded grumpy ∧ straightforward ∧ exuberant ⇒ different exuberant ∧ different ∧ worrisome ⇒ broad-minded grumpy ∧ straightforward ∧ exuberant ⇒ different broad-minded ∧ silly ∧ different ⇒ nervous ...
1
7
Facts: Batman is popular [PERIOD] Batman is fine [PERIOD] Batman is troubled [PERIOD] Batman is gifted [PERIOD] Batman is tense [PERIOD] Batman is curious [PERIOD] Batman is sincere [PERIOD] Batman is selfish [PERIOD] Batman is bad-tempered [PERIOD] Rules: gifted [AND] wide-eyed [AND] popular [IMPLY] loving [PERIOD] g...
Proof chain: curious ⇒ famous curious ⇒ famous bad-tempered ∧ famous ⇒ calm selfish ⇒ mysterious calm ∧ popular ∧ mysterious ⇒ ambitious ambitious ⇒ loving troubled ∧ famous ∧ loving ⇒ ugliest
1
7
Facts: Batman is selfish [PERIOD] Batman is tame [PERIOD] Rules: tame [AND] frantic [IMPLY] elated [PERIOD] selfish [AND] elated [AND] joyous [IMPLY] agreeable [PERIOD] agreeable [IMPLY] tame [PERIOD] joyous [AND] selfish [AND] elated [IMPLY] tame [PERIOD] tame [AND] joyous [IMPLY] elated [PERIOD] frantic [IMPLY] self...
Proof chain: tame ⇒ joyous tame ∧ joyous ⇒ elated tame ⇒ joyous selfish ∧ elated ∧ joyous ⇒ agreeable tame ⇒ joyous tame ∧ joyous ⇒ elated agreeable ∧ elated ∧ tame ⇒ frantic
1
7
Facts: Batman is mean [PERIOD] Batman is spotless [PERIOD] Batman is powerful [PERIOD] Batman is attractive [PERIOD] Batman is cute [PERIOD] Rules: outstanding [IMPLY] anxious [PERIOD] hypocritical [IMPLY] lonely [PERIOD] adorable [AND] weary [AND] anxious [IMPLY] thoughtful [PERIOD] jittery [AND] wandering [IMPLY] ze...
Proof chain: attractive ∧ powerful ⇒ bad-tempered bad-tempered ⇒ jittery jittery ⇒ outstanding outstanding ⇒ anxious spotless ∧ anxious ⇒ hypocritical mean ⇒ easy hypocritical ∧ easy ⇒ thoughtful
1
7
Facts: Batman is wandering [PERIOD] Batman is adorable [PERIOD] Batman is fine [PERIOD] Rules: broad-minded [AND] loving [IMPLY] perfect [PERIOD] sleepy [IMPLY] blushing [PERIOD] cute [AND] ambitious [IMPLY] supportive [PERIOD] sleepy [AND] mean [AND] worried [IMPLY] silly [PERIOD] perfect [AND] excited [AND] popular ...
Proof chain: Cannot apply rule “wandering ∧ loving ⇒ difficult” because missing: loving. Cannot apply rule “excited ∧ broad-minded ⇒ difficult” because missing: excited, broad-minded. Cannot apply rule “tame ∧ tired ∧ mean ⇒ difficult” because missing: tame, tired, mean. Cannot apply rule “blushing ∧ tired ...
0
7
Facts: Batman is long [PERIOD] Batman is vivacious [PERIOD] Rules: polite [AND] tame [AND] difficult [IMPLY] long [PERIOD] difficult [AND] selfish [AND] vivacious [IMPLY] gifted [PERIOD] elegant [AND] difficult [IMPLY] lucky [PERIOD] famous [IMPLY] frantic [PERIOD] lucky [AND] bright [AND] tame [IMPLY] polite [PERIOD]...
Proof chain: long ⇒ careless careless ⇒ selfish Cannot apply rule “difficult ∧ selfish ∧ vivacious ⇒ gifted” because missing: difficult. long ⇒ careless careless ⇒ frantic Cannot apply rule “polite ∧ difficult ∧ frantic ⇒ gifted” because missing: polite, difficult. Cannot apply rule “difficult ∧ ta...
0
7
Facts: Rules: outrageous [AND] worried [IMPLY] helpless [PERIOD] helpless [IMPLY] cute [PERIOD] gifted [AND] gorgeous [IMPLY] tired [PERIOD] fine [IMPLY] cute [PERIOD] easy [AND] tired [IMPLY] shiny [PERIOD] enchanting [IMPLY] helpless [PERIOD] tired [AND] talkative [IMPLY] easy [PERIOD] stubborn [AND] fine [IMPLY] ta...
Proof chain: Cannot apply rule “fine ⇒ worried” because missing: fine. Cannot apply rule “fine ∧ enchanting ∧ easy ⇒ worried” because missing: fine, enchanting, easy. Cannot apply rule “gifted ∧ cute ⇒ worried” because missing: gifted, cute. Cannot apply rule “enchanting ∧ easy ⇒ worried” because missing: e...
0
7
Facts: Batman is lucky [PERIOD] Batman is joyous [PERIOD] Batman is helpless [PERIOD] Rules: helpless [IMPLY] homely [PERIOD] friendly [AND] homely [IMPLY] long [PERIOD] joyous [AND] cute [IMPLY] long [PERIOD] friendly [AND] homely [AND] bright [IMPLY] cute [PERIOD] homely [IMPLY] friendly [PERIOD] friendly [AND] joyo...
Proof chain: helpless ⇒ homely homely ⇒ anxious Cannot apply rule “ugliest ∧ anxious ∧ enchanting ⇒ bright” because missing: ugliest, enchanting. helpless ⇒ homely Cannot apply rule “homely ∧ thoughtful ⇒ bright” because missing: thoughtful. helpless ⇒ homely Cannot apply rule “victorious ∧ helples...
0
7
Facts: Rules: adorable [AND] homely [IMPLY] sincere [PERIOD] clean [AND] anxious [AND] elated [IMPLY] tame [PERIOD] fearless [AND] calm [IMPLY] innocent [PERIOD] bad-tempered [IMPLY] precious [PERIOD] clean [AND] bad-tempered [AND] fearless [IMPLY] good [PERIOD] fearless [IMPLY] hilarious [PERIOD] messy [AND] innocent...
Proof chain: Cannot apply rule “fearless ⇒ hilarious” because missing: fearless. Cannot apply rule “bad-tempered ∧ good ⇒ hilarious” because missing: bad-tempered, good. Cannot apply rule “tame ∧ horrible ∧ homely ⇒ hilarious” because missing: tame, horrible, homely. Cannot apply rule “adorable ⇒ hilarious”...
0
7
Facts: Batman is powerful [PERIOD] Batman is clumsy [PERIOD] Batman is pessimistic [PERIOD] Batman is impartial [PERIOD] Batman is gleaming [PERIOD] Batman is unpleasant [PERIOD] Rules: serious [AND] uptight [AND] pessimistic [IMPLY] diplomatic [PERIOD] tidy [AND] fine [AND] unpleasant [IMPLY] serious [PERIOD] bad-tem...
Proof chain: clumsy ∧ gleaming ⇒ different impartial ∧ different ⇒ fine unpleasant ⇒ stubborn clumsy ∧ gleaming ⇒ different unpleasant ∧ different ⇒ bad-tempered fine ∧ stubborn ∧ bad-tempered ⇒ serious unpleasant ∧ serious ⇒ tidy
1
7
Facts: Batman is talkative [PERIOD] Rules: attentive [AND] embarrassed [IMPLY] different [PERIOD] bossy [IMPLY] attentive [PERIOD] attentive [AND] foolish [IMPLY] talkative [PERIOD] embarrassed [AND] weary [AND] old-fashioned [IMPLY] talkative [PERIOD] curious [AND] disobedient [IMPLY] hilarious [PERIOD] bossy [AND] d...
Proof chain: talkative ⇒ disobedient disobedient ⇒ bright talkative ⇒ disobedient disobedient ⇒ bright bright ⇒ embarrassed bright ∧ embarrassed ∧ talkative ⇒ bossy bossy ⇒ attentive
1
7
Facts: Rules: easy [AND] strange [IMPLY] calm [PERIOD] ambitious [IMPLY] helpful [PERIOD] easy [IMPLY] lucky [PERIOD] calm [AND] strange [IMPLY] cute [PERIOD] ambitious [AND] lucky [IMPLY] cute [PERIOD] lucky [AND] calm [IMPLY] helpful [PERIOD] lucky [AND] strange [AND] cute [IMPLY] ambitious [PERIOD] easy [IMPLY] hel...
Proof chain: Cannot apply rule “easy ⇒ lucky” because missing: easy. Cannot apply rule “strange ∧ ambitious ∧ calm ⇒ lucky” because missing: strange, ambitious, calm. Cannot apply rule “ambitious ⇒ lucky” because missing: ambitious. Cannot apply rule “helpful ∧ ambitious ⇒ lucky” because missing: helpful, a...
0
7
Facts: Batman is comfortable [PERIOD] Batman is spotless [PERIOD] Rules: cute [IMPLY] inexpensive [PERIOD] frightened [AND] inexpensive [IMPLY] famous [PERIOD] thoughtless [IMPLY] tame [PERIOD] thoughtless [IMPLY] frightened [PERIOD] uptight [IMPLY] thoughtless [PERIOD] uptight [AND] naughty [AND] spotless [IMPLY] cut...
Proof chain: comfortable ⇒ famous comfortable ⇒ famous famous ⇒ stormy stormy ⇒ courageous famous ∧ courageous ⇒ frightened frightened ⇒ selfish selfish ⇒ supportive
1
7
Facts: Batman is confused [PERIOD] Batman is silly [PERIOD] Batman is scared [PERIOD] Batman is confident [PERIOD] Batman is shy [PERIOD] Rules: average [AND] pleasant [IMPLY] calm [PERIOD] clumsy [AND] bad-tempered [AND] broad-minded [IMPLY] weary [PERIOD] bad-tempered [AND] stormy [IMPLY] confident [PERIOD] broad-mi...
Proof chain: confused ⇒ bored bored ⇒ clumsy confused ⇒ bored clumsy ∧ scared ∧ bored ⇒ bad-tempered confused ⇒ bored bored ⇒ clumsy bad-tempered ∧ clumsy ⇒ popular
1
7
Facts: Batman is frantic [PERIOD] Rules: agreeable [AND] vivacious [IMPLY] anxious [PERIOD] busy [AND] bored [AND] sleepy [IMPLY] glamorous [PERIOD] wrong [AND] busy [IMPLY] cooperative [PERIOD] diplomatic [IMPLY] vivacious [PERIOD] gifted [AND] anxious [AND] bright [IMPLY] vivacious [PERIOD] lucky [AND] wide-eyed [IM...
Proof chain: Cannot apply rule “broad-minded ⇒ sleepy” because missing: broad-minded. Cannot apply rule “pleasant ⇒ sleepy” because missing: pleasant. Cannot apply rule “vivacious ∧ ugly ⇒ sleepy” because missing: vivacious, ugly. Cannot apply rule “busy ∧ gifted ⇒ sleepy” because missing: busy, gifted. ...
0
7
Facts: Rules: courageous [AND] confident [AND] crowded [IMPLY] silly [PERIOD] broad-minded [AND] silly [AND] ugly [IMPLY] wandering [PERIOD] ugliest [AND] blushing [AND] broad-minded [IMPLY] silly [PERIOD] crowded [AND] confident [AND] tame [IMPLY] silly [PERIOD] tame [IMPLY] silly [PERIOD] popular [AND] confident [IM...
Proof chain: Cannot apply rule “courageous ∧ confident ∧ crowded ⇒ silly” because missing: courageous, confident, crowded. Cannot apply rule “ugliest ∧ blushing ∧ broad-minded ⇒ silly” because missing: ugliest, blushing, broad-minded. Cannot apply rule “crowded ∧ confident ∧ tame ⇒ silly” because missing: crow...
0
7
Facts: Rules: calm [AND] courageous [AND] thoughtless [IMPLY] witty [PERIOD] calm [IMPLY] thoughtless [PERIOD] witty [AND] famous [AND] messy [IMPLY] enchanting [PERIOD] messy [AND] weary [IMPLY] thoughtless [PERIOD] enchanting [AND] famous [AND] messy [IMPLY] thoughtless [PERIOD] messy [AND] thoughtless [IMPLY] encha...
Proof chain: Cannot apply rule “calm ⇒ thoughtless” because missing: calm. Cannot apply rule “messy ∧ weary ⇒ thoughtless” because missing: messy, weary. Cannot apply rule “enchanting ∧ famous ∧ messy ⇒ thoughtless” because missing: enchanting, famous, messy. Cannot apply rule “enchanting ∧ witty ⇒ thoughtl...
0
7
Facts: Batman is innocent [PERIOD] Batman is condemned [PERIOD] Rules: shiny [AND] foolish [AND] innocent [IMPLY] gifted [PERIOD] gifted [IMPLY] tired [PERIOD] shiny [AND] gifted [AND] innocent [IMPLY] tired [PERIOD] innocent [AND] gifted [AND] tired [IMPLY] condemned [PERIOD] innocent [AND] shiny [IMPLY] condemned [P...
Proof chain: innocent ⇒ gifted gifted ⇒ tired innocent ⇒ gifted gifted ⇒ tired innocent ∧ tired ∧ condemned ⇒ foolish innocent ⇒ gifted tired ∧ foolish ∧ gifted ⇒ shiny
1
7
Facts: Batman is impartial [PERIOD] Rules: beautiful [AND] attractive [IMPLY] thoughtless [PERIOD] confident [AND] mysterious [AND] modern [IMPLY] bad-tempered [PERIOD] bad-tempered [IMPLY] friendly [PERIOD] modern [IMPLY] impartial [PERIOD] friendly [IMPLY] mysterious [PERIOD] fine [IMPLY] loving [PERIOD] mysterious ...
Proof chain: Cannot apply rule “fine ⇒ loving” because missing: fine. Cannot apply rule “mysterious ∧ impartial ∧ witty ⇒ loving” because missing: mysterious, witty. Cannot apply rule “bad-tempered ∧ friendly ∧ clumsy ⇒ loving” because missing: bad-tempered, friendly, clumsy. Cannot apply rule “friendly ⇒ l...
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Facts: Rules: anxious [AND] popular [IMPLY] straightforward [PERIOD] talkative [IMPLY] popular [PERIOD] worrisome [AND] talkative [AND] rational [IMPLY] jittery [PERIOD] quaint [AND] rational [AND] jittery [IMPLY] straightforward [PERIOD] jittery [AND] anxious [AND] comfortable [IMPLY] quaint [PERIOD] worrisome [AND] ...
Proof chain: Cannot apply rule “agreeable ⇒ curious” because missing: agreeable. Cannot apply rule “modern ∧ popular ⇒ curious” because missing: modern, popular. Cannot apply rule “rational ∧ cooperative ∧ talkative ⇒ curious” because missing: rational, cooperative, talkative. Cannot apply rule “anxious ⇒ c...
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Facts: Batman is stupid [PERIOD] Batman is broad-minded [PERIOD] Batman is rude [PERIOD] Batman is excited [PERIOD] Rules: serious [AND] broad-minded [IMPLY] famous [PERIOD] stupid [AND] broad-minded [IMPLY] clean [PERIOD] unpleasant [IMPLY] cooperative [PERIOD] unpleasant [IMPLY] powerful [PERIOD] stupid [AND] reserv...
Proof chain: excited ⇒ reserved stupid ∧ reserved ⇒ diplomatic stupid ∧ diplomatic ⇒ straightforward stupid ∧ rude ⇒ serious serious ∧ broad-minded ⇒ famous stupid ∧ broad-minded ⇒ clean straightforward ∧ famous ∧ clean ⇒ cute
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Facts: Batman is attractive [PERIOD] Batman is busy [PERIOD] Batman is messy [PERIOD] Batman is wandering [PERIOD] Rules: strange [IMPLY] victorious [PERIOD] different [AND] helpless [IMPLY] attractive [PERIOD] innocent [AND] helpless [IMPLY] attractive [PERIOD] spotless [AND] smart [IMPLY] attractive [PERIOD] innocen...
Proof chain: wandering ⇒ innocent innocent ⇒ diplomatic attractive ⇒ fine fine ⇒ hypocritical busy ∧ hypocritical ⇒ easy easy ∧ wandering ⇒ comfortable diplomatic ∧ comfortable ⇒ proud
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Facts: Batman is hilarious [PERIOD] Batman is tired [PERIOD] Batman is naughty [PERIOD] Batman is versatile [PERIOD] Rules: cooperative [AND] anxious [AND] light [IMPLY] fine [PERIOD] impartial [AND] versatile [AND] inexpensive [IMPLY] loving [PERIOD] hilarious [AND] anxious [AND] light [IMPLY] inexpensive [PERIOD] al...
Proof chain: tired ⇒ alert naughty ⇒ inexpensive inexpensive ⇒ ambitious ambitious ⇒ loving loving ⇒ diplomatic alert ∧ versatile ∧ diplomatic ⇒ shy hilarious ∧ shy ∧ naughty ⇒ crowded
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Facts: Batman is diplomatic [PERIOD] Batman is serious [PERIOD] Batman is condemned [PERIOD] Batman is smart [PERIOD] Rules: troubled [IMPLY] ambitious [PERIOD] smart [AND] long [AND] ambitious [IMPLY] disgusted [PERIOD] long [AND] plain [IMPLY] diplomatic [PERIOD] bad-tempered [AND] long [AND] worried [IMPLY] condemn...
Proof chain: serious ⇒ worried serious ⇒ ambitious ambitious ∧ diplomatic ⇒ long smart ∧ long ⇒ pleasant serious ⇒ ambitious diplomatic ∧ ambitious ⇒ plain worried ∧ pleasant ∧ plain ⇒ careless
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Facts: Batman is gleaming [PERIOD] Rules: tame [AND] pessimistic [IMPLY] stubborn [PERIOD] cute [AND] intellectual [IMPLY] stubborn [PERIOD] tame [IMPLY] cute [PERIOD] bright [AND] tame [IMPLY] stubborn [PERIOD] stubborn [AND] bright [AND] intellectual [IMPLY] cute [PERIOD] gleaming [AND] intellectual [AND] bright [IM...
Proof chain: Cannot apply rule “tame ∧ pessimistic ⇒ stubborn” because missing: tame, pessimistic. Cannot apply rule “cute ∧ intellectual ⇒ stubborn” because missing: cute, intellectual. Cannot apply rule “bright ∧ tame ⇒ stubborn” because missing: bright, tame. Cannot apply rule “gleaming ∧ intellectual ∧ ...
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Facts: Batman is busy [PERIOD] Batman is excited [PERIOD] Batman is famous [PERIOD] Rules: muddy [AND] wandering [AND] inexpensive [IMPLY] busy [PERIOD] wandering [IMPLY] impatient [PERIOD] muddy [IMPLY] busy [PERIOD] inexpensive [AND] mysterious [IMPLY] jittery [PERIOD] excited [IMPLY] muddy [PERIOD] embarrassed [AND...
Proof chain: busy ∧ famous ⇒ impatient Cannot apply rule “famous ∧ embarrassed ∧ impatient ⇒ inexpensive” because missing: embarrassed. busy ∧ famous ⇒ impatient impatient ⇒ blushing Cannot apply rule “gorgeous ∧ blushing ⇒ inexpensive” because missing: gorgeous. busy ∧ famous ⇒ impatient Cannot ap...
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Facts: Batman is lucky [PERIOD] Rules: combative [IMPLY] bored [PERIOD] lonely [IMPLY] combative [PERIOD] shiny [AND] aggressive [AND] selfish [IMPLY] straightforward [PERIOD] bored [AND] inexpensive [IMPLY] combative [PERIOD] straightforward [AND] inexpensive [AND] rude [IMPLY] lucky [PERIOD] lucky [IMPLY] shiny [PER...
Proof chain: Cannot apply rule “straightforward ∧ lonely ⇒ rude” because missing: straightforward, lonely. lucky ⇒ aggressive Cannot apply rule “lonely ∧ aggressive ∧ straightforward ⇒ rude” because missing: lonely, straightforward. lucky ⇒ aggressive Cannot apply rule “combative ∧ aggressive ⇒ rude” bec...
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Facts: Batman is anxious [PERIOD] Batman is strange [PERIOD] Batman is naughty [PERIOD] Batman is intellectual [PERIOD] Rules: anxious [AND] serious [IMPLY] difficult [PERIOD] strange [AND] troubled [AND] sensible [IMPLY] easy [PERIOD] shy [IMPLY] troubled [PERIOD] tender [AND] sensible [AND] loving [IMPLY] gleaming [...
Proof chain: naughty ⇒ loving Cannot apply rule “tender ∧ sensible ∧ loving ⇒ gleaming” because missing: tender, sensible. intellectual ⇒ troubled Cannot apply rule “aggressive ∧ shy ∧ troubled ⇒ gleaming” because missing: aggressive, shy. Cannot apply rule “aggressive ∧ shiny ∧ intellectual ⇒ gleaming” ...
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Facts: Batman is selfish [PERIOD] Rules: old-fashioned [AND] wrong [AND] unpleasant [IMPLY] ambitious [PERIOD] unpleasant [AND] talkative [AND] wrong [IMPLY] old-fashioned [PERIOD] wrong [AND] ambitious [AND] tame [IMPLY] fragile [PERIOD] talkative [AND] unpleasant [IMPLY] old-fashioned [PERIOD] tame [AND] ambitious [...
Proof chain: selfish ⇒ unpleasant unpleasant ⇒ old-fashioned selfish ⇒ unpleasant unpleasant ⇒ old-fashioned selfish ∧ old-fashioned ⇒ wrong selfish ⇒ unpleasant old-fashioned ∧ wrong ∧ unpleasant ⇒ ambitious
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Facts: Rules: curious [IMPLY] difficult [PERIOD] reserved [IMPLY] difficult [PERIOD] reserved [AND] modern [AND] bad-tempered [IMPLY] tidy [PERIOD] famous [AND] homely [IMPLY] bad-tempered [PERIOD] bad-tempered [IMPLY] tired [PERIOD] reserved [AND] silly [IMPLY] bored [PERIOD] bored [AND] silly [IMPLY] sincere [PERIOD...
Proof chain: Cannot apply rule “curious ⇒ difficult” because missing: curious. Cannot apply rule “reserved ⇒ difficult” because missing: reserved. Cannot apply rule “attractive ∧ horrible ∧ curious ⇒ difficult” because missing: attractive, horrible, curious. Cannot apply rule “attractive ∧ modern ∧ gifted ⇒...
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Facts: Rules: joyous [AND] unpleasant [IMPLY] outrageous [PERIOD] troubled [IMPLY] impatient [PERIOD] impatient [AND] hurt [IMPLY] unpleasant [PERIOD] old-fashioned [AND] witty [IMPLY] helpful [PERIOD] weary [AND] helpful [AND] busy [IMPLY] joyous [PERIOD] tame [IMPLY] busy [PERIOD] unpleasant [IMPLY] helpful [PERIOD]...
Proof chain: Cannot apply rule “dull ⇒ old-fashioned” because missing: dull. Cannot apply rule “outrageous ⇒ old-fashioned” because missing: outrageous. Cannot apply rule “sleepy ∧ troubled ⇒ old-fashioned” because missing: sleepy, troubled. Cannot apply rule “hurt ∧ tender ∧ helpful ⇒ old-fashioned” becaus...
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Facts: Batman is mysterious [PERIOD] Batman is impatient [PERIOD] Rules: frail [IMPLY] helpless [PERIOD] frail [AND] calm [IMPLY] innocent [PERIOD] stupid [AND] fragile [IMPLY] helpless [PERIOD] fragile [IMPLY] mysterious [PERIOD] innocent [AND] polite [IMPLY] fragile [PERIOD] average [AND] fragile [AND] frail [IMPLY]...
Proof chain: impatient ⇒ calm calm ∧ impatient ⇒ alert mysterious ∧ alert ⇒ polite impatient ⇒ calm calm ∧ impatient ⇒ alert impatient ⇒ calm polite ∧ alert ∧ calm ⇒ frail
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Facts: Batman is modern [PERIOD] Batman is pessimistic [PERIOD] Batman is loving [PERIOD] Rules: tired [AND] old-fashioned [IMPLY] shiny [PERIOD] supportive [AND] courageous [AND] modern [IMPLY] loving [PERIOD] frail [AND] modern [AND] tired [IMPLY] tame [PERIOD] gorgeous [AND] courageous [IMPLY] supportive [PERIOD] u...
Proof chain: Cannot apply rule “elated ⇒ uptight” because missing: elated. Cannot apply rule “tired ⇒ uptight” because missing: tired. loving ⇒ ambitious ambitious ⇒ courageous loving ∧ courageous ⇒ different loving ⇒ ambitious Cannot apply rule “diplomatic ∧ different ∧ ambitious ⇒ uptight” becaus...
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Facts: Batman is thoughtless [PERIOD] Batman is muddy [PERIOD] Batman is frail [PERIOD] Batman is confident [PERIOD] Rules: lucky [AND] gleaming [IMPLY] bright [PERIOD] troubled [IMPLY] thoughtless [PERIOD] thoughtless [AND] confident [AND] light [IMPLY] pessimistic [PERIOD] pessimistic [AND] witty [AND] hilarious [IM...
Proof chain: confident ∧ frail ⇒ light thoughtless ∧ confident ∧ light ⇒ pessimistic Cannot apply rule “thoughtless ∧ pessimistic ∧ tense ⇒ witty” because missing: tense. muddy ⇒ lucky confident ∧ frail ∧ lucky ⇒ frantic Cannot apply rule “thoughtless ∧ frantic ∧ talented ⇒ witty” because missing: tal...
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