Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Rules: embarrassed [AND] friendly [AND] tender [IMPLY] careless [PERIOD] tender [IMPLY] friendly [PERIOD] careless [AND] embarrassed [IMPLY] friendly [PERIOD] friendly [AND] careless [AND] witty [IMPLY] embarrassed [PERIOD] friendly [IMPLY] tender [PERIOD] witty [IMPLY] tender [PERIOD] friendly [AND] careless [...
Proof chain: Cannot apply rule “tender ⇒ friendly” because missing: tender. Cannot apply rule “careless ∧ embarrassed ⇒ friendly” because missing: careless, embarrassed.
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Facts: Batman is precious [PERIOD] Batman is disobedient [PERIOD] Rules: worrisome [AND] modern [IMPLY] elegant [PERIOD] versatile [IMPLY] alert [PERIOD] jittery [AND] crowded [AND] elegant [IMPLY] versatile [PERIOD] condemned [AND] modern [AND] clumsy [IMPLY] alert [PERIOD] elegant [AND] precious [IMPLY] witty [PERIO...
Proof chain: precious ⇒ crowded crowded ⇒ ugly
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Facts: Batman is old-fashioned [PERIOD] Batman is broad-minded [PERIOD] Batman is tense [PERIOD] Batman is disgusted [PERIOD] Batman is smart [PERIOD] Batman is serious [PERIOD] Batman is clumsy [PERIOD] Batman is gifted [PERIOD] Rules: impatient [AND] troubled [IMPLY] worried [PERIOD] outrageous [AND] comfortable [AN...
Proof chain: clumsy ⇒ sensible sensible ⇒ scared
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Facts: Batman is elated [PERIOD] Batman is modern [PERIOD] Batman is outstanding [PERIOD] Batman is nervous [PERIOD] Rules: rude [AND] zealous [IMPLY] nervous [PERIOD] cute [AND] zealous [AND] dishonest [IMPLY] elegant [PERIOD] mysterious [AND] careless [AND] impartial [IMPLY] lonely [PERIOD] talkative [IMPLY] lonely ...
Proof chain: Cannot apply rule “tense ∧ friendly ⇒ diplomatic” because missing: tense, friendly. Cannot apply rule “friendly ∧ impartial ⇒ diplomatic” because missing: friendly, impartial.
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Facts: Batman is alert [PERIOD] Batman is condemned [PERIOD] Batman is curious [PERIOD] Batman is frail [PERIOD] Batman is serious [PERIOD] Batman is charming [PERIOD] Batman is busy [PERIOD] Batman is fearless [PERIOD] Batman is rational [PERIOD] Batman is precious [PERIOD] Batman is nervous [PERIOD] Batman is perfec...
Proof chain: charming ∧ condemned ∧ frantic ⇒ thoughtful nervous ∧ thoughtful ⇒ polite
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Facts: Batman is mean [PERIOD] Batman is cute [PERIOD] Rules: sincere [AND] sensible [AND] powerful [IMPLY] perfect [PERIOD] sensible [AND] cute [IMPLY] perfect [PERIOD] perfect [AND] muddy [IMPLY] powerful [PERIOD] glamorous [AND] sensible [AND] mean [IMPLY] perfect [PERIOD] cute [AND] plain [IMPLY] glamorous [PERIOD...
Proof chain: cute ⇒ powerful cute ∧ powerful ⇒ plain
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Facts: Batman is dull [PERIOD] Batman is famous [PERIOD] Batman is charming [PERIOD] Batman is curious [PERIOD] Batman is alert [PERIOD] Rules: curious [AND] cute [AND] disobedient [IMPLY] charming [PERIOD] dull [AND] versatile [AND] lucky [IMPLY] plain [PERIOD] nervous [IMPLY] long [PERIOD] cute [AND] charming [IMPLY...
Proof chain: dull ∧ charming ⇒ combative combative ⇒ nervous
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Facts: Batman is nervous [PERIOD] Batman is long [PERIOD] Batman is reserved [PERIOD] Rules: crowded [IMPLY] nervous [PERIOD] serious [AND] crowded [AND] bossy [IMPLY] hurt [PERIOD] tender [AND] reserved [IMPLY] hurt [PERIOD] hurt [IMPLY] polite [PERIOD] gleaming [IMPLY] serious [PERIOD] nervous [AND] tender [IMPLY] f...
Proof chain: Cannot apply rule “clumsy ∧ gleaming ∧ polite ⇒ bossy” because missing: clumsy, gleaming, polite. Cannot apply rule “long ∧ crowded ∧ nervous ⇒ bossy” because missing: crowded.
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2
Facts: Rules: jittery [AND] clumsy [IMPLY] messy [PERIOD] cruel [AND] jittery [IMPLY] messy [PERIOD] messy [AND] horrible [IMPLY] jittery [PERIOD] horrible [AND] cruel [IMPLY] clumsy [PERIOD] horrible [AND] clumsy [IMPLY] cruel [PERIOD] jittery [AND] glamorous [IMPLY] messy [PERIOD] horrible [IMPLY] messy [PERIOD] cru...
Proof chain: Cannot apply rule “horrible ∧ cruel ⇒ clumsy” because missing: horrible, cruel. Cannot apply rule “cruel ⇒ clumsy” because missing: cruel.
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Facts: Batman is intellectual [PERIOD] Batman is muddy [PERIOD] Batman is supportive [PERIOD] Batman is ugly [PERIOD] Batman is fearless [PERIOD] Batman is polite [PERIOD] Batman is ambitious [PERIOD] Rules: ugly [AND] horrible [AND] precious [IMPLY] exuberant [PERIOD] victorious [AND] ambitious [AND] ugly [IMPLY] wit...
Proof chain: fearless ⇒ quaint quaint ∧ fearless ∧ intellectual ⇒ shy
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Facts: Batman is innocent [PERIOD] Batman is supportive [PERIOD] Batman is naughty [PERIOD] Rules: fancy [AND] rude [AND] versatile [IMPLY] friendly [PERIOD] wrong [AND] ugliest [AND] mean [IMPLY] talkative [PERIOD] friendly [IMPLY] innocent [PERIOD] naughty [IMPLY] average [PERIOD] naughty [IMPLY] versatile [PERIOD] ...
Proof chain: Cannot apply rule “busy ∧ broad-minded ∧ helpless ⇒ mysterious” because missing: busy, broad-minded, helpless. Cannot apply rule “helpless ⇒ mysterious” because missing: helpless.
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Facts: Rules: lucky [AND] witty [IMPLY] fancy [PERIOD] elegant [AND] diplomatic [IMPLY] frail [PERIOD] average [IMPLY] dishonest [PERIOD] amused [AND] dull [AND] victorious [IMPLY] clean [PERIOD] victorious [IMPLY] blushing [PERIOD] ugliest [AND] helpful [AND] victorious [IMPLY] good [PERIOD] helpful [AND] mysterious ...
Proof chain: Cannot apply rule “amused ∧ elegant ⇒ worrisome” because missing: amused, elegant. Cannot apply rule “frail ∧ clean ∧ lucky ⇒ worrisome” because missing: frail, clean, lucky.
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Facts: Rules: different [AND] foolish [IMPLY] frightened [PERIOD] hurt [AND] pessimistic [AND] enchanting [IMPLY] condemned [PERIOD] fine [AND] tender [AND] crowded [IMPLY] curious [PERIOD] foolish [IMPLY] disgusted [PERIOD] disgusted [AND] zealous [IMPLY] condemned [PERIOD] impatient [IMPLY] frightened [PERIOD] crowd...
Proof chain: Cannot apply rule “proud ⇒ bad-tempered” because missing: proud. Cannot apply rule “quaint ⇒ bad-tempered” because missing: quaint.
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Facts: Batman is exuberant [PERIOD] Batman is thoughtful [PERIOD] Batman is condemned [PERIOD] Batman is frightened [PERIOD] Batman is courageous [PERIOD] Batman is pleasant [PERIOD] Batman is modern [PERIOD] Batman is clumsy [PERIOD] Rules: frightened [AND] plain [AND] sincere [IMPLY] tender [PERIOD] ugliest [AND] th...
Proof chain: modern ⇒ charming thoughtful ∧ charming ⇒ zealous
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Facts: Batman is glamorous [PERIOD] Batman is grumpy [PERIOD] Batman is powerful [PERIOD] Batman is sensible [PERIOD] Batman is mean [PERIOD] Batman is nervous [PERIOD] Batman is unpleasant [PERIOD] Rules: famous [AND] frantic [IMPLY] supportive [PERIOD] fragile [IMPLY] frantic [PERIOD] glamorous [IMPLY] scared [PERIO...
Proof chain: glamorous ⇒ scared Cannot apply rule “sensible ∧ scared ∧ famous ⇒ fragile” because missing: famous.
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Facts: Batman is bossy [PERIOD] Batman is alert [PERIOD] Batman is foolish [PERIOD] Rules: old-fashioned [IMPLY] easy [PERIOD] ugly [IMPLY] popular [PERIOD] hilarious [AND] worried [IMPLY] weary [PERIOD] ugly [AND] popular [AND] easy [IMPLY] bossy [PERIOD] different [AND] popular [AND] old-fashioned [IMPLY] alert [PER...
Proof chain: foolish ⇒ old-fashioned old-fashioned ⇒ ugly
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Facts: Batman is serious [PERIOD] Batman is stormy [PERIOD] Batman is lonely [PERIOD] Batman is charming [PERIOD] Batman is fearless [PERIOD] Batman is average [PERIOD] Batman is outrageous [PERIOD] Batman is mysterious [PERIOD] Batman is anxious [PERIOD] Batman is courageous [PERIOD] Batman is beautiful [PERIOD] Rule...
Proof chain: beautiful ⇒ fine Cannot apply rule “worried ∧ fine ⇒ agreeable” because missing: worried.
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2
Facts: Batman is difficult [PERIOD] Batman is serious [PERIOD] Batman is embarrassed [PERIOD] Batman is wrong [PERIOD] Batman is calm [PERIOD] Batman is confused [PERIOD] Batman is stupid [PERIOD] Batman is troubled [PERIOD] Batman is proud [PERIOD] Batman is jittery [PERIOD] Batman is weary [PERIOD] Batman is frail [...
Proof chain: stupid ∧ homely ∧ zealous ⇒ wide-eyed wide-eyed ⇒ bored
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Facts: Batman is hypocritical [PERIOD] Batman is foolish [PERIOD] Batman is bored [PERIOD] Batman is proud [PERIOD] Batman is supportive [PERIOD] Batman is amused [PERIOD] Batman is tame [PERIOD] Batman is calm [PERIOD] Batman is elegant [PERIOD] Rules: hypocritical [AND] tired [IMPLY] elegant [PERIOD] bored [AND] pro...
Proof chain: calm ⇒ grumpy grumpy ∧ foolish ∧ calm ⇒ tender
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2
Facts: Batman is stubborn [PERIOD] Batman is stupid [PERIOD] Rules: stupid [AND] combative [IMPLY] diplomatic [PERIOD] diplomatic [IMPLY] wandering [PERIOD] diplomatic [IMPLY] mean [PERIOD] mean [IMPLY] diplomatic [PERIOD] combative [AND] diplomatic [IMPLY] stubborn [PERIOD] diplomatic [AND] mean [IMPLY] stubborn [PER...
Proof chain: Cannot apply rule “stubborn ∧ diplomatic ∧ wandering ⇒ combative” because missing: diplomatic, wandering. Cannot apply rule “wandering ⇒ combative” because missing: wandering.
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Facts: Batman is selfish [PERIOD] Batman is inquisitive [PERIOD] Batman is vivacious [PERIOD] Batman is exuberant [PERIOD] Batman is stubborn [PERIOD] Batman is confused [PERIOD] Rules: perfect [IMPLY] selfish [PERIOD] alert [AND] comfortable [AND] distinct [IMPLY] confused [PERIOD] perfect [IMPLY] crowded [PERIOD] ex...
Proof chain: stubborn ⇒ difficult Cannot apply rule “vivacious ∧ comfortable ∧ difficult ⇒ perfect” because missing: comfortable.
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Facts: Batman is old-fashioned [PERIOD] Batman is tender [PERIOD] Batman is enchanting [PERIOD] Batman is lucky [PERIOD] Batman is nervous [PERIOD] Batman is gorgeous [PERIOD] Batman is lonely [PERIOD] Batman is bright [PERIOD] Batman is famous [PERIOD] Batman is clean [PERIOD] Batman is fragile [PERIOD] Batman is lig...
Proof chain: Cannot apply rule “famous ∧ quaint ∧ bright ⇒ busy” because missing: quaint. Cannot apply rule “spotless ⇒ busy” because missing: spotless.
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Facts: Batman is rude [PERIOD] Batman is embarrassed [PERIOD] Batman is sleepy [PERIOD] Batman is fragile [PERIOD] Batman is hilarious [PERIOD] Batman is sensible [PERIOD] Rules: blushing [IMPLY] hilarious [PERIOD] sleepy [AND] careless [AND] fragile [IMPLY] pleasant [PERIOD] blushing [AND] sensible [IMPLY] careless [...
Proof chain: sleepy ⇒ careless careless ⇒ enchanting
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2
Facts: Batman is impartial [PERIOD] Rules: famous [IMPLY] impartial [PERIOD] unpleasant [AND] impartial [IMPLY] combative [PERIOD] elated [AND] joyous [IMPLY] combative [PERIOD] impartial [AND] combative [AND] famous [IMPLY] elated [PERIOD] famous [AND] combative [IMPLY] joyous [PERIOD] famous [AND] unpleasant [AND] e...
Proof chain: Cannot apply rule “impartial ∧ famous ⇒ unpleasant” because missing: famous. Cannot apply rule “impartial ∧ joyous ∧ elated ⇒ unpleasant” because missing: joyous, elated.
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2
Facts: Rules: lonely [IMPLY] ambitious [PERIOD] modern [AND] ambitious [IMPLY] proud [PERIOD] modern [AND] stupid [IMPLY] ambitious [PERIOD] modern [AND] stupid [IMPLY] proud [PERIOD] ambitious [AND] proud [AND] lonely [IMPLY] modern [PERIOD] proud [IMPLY] ambitious [PERIOD] proud [IMPLY] lonely [PERIOD] stupid [AND] ...
Proof chain: Cannot apply rule “ambitious ∧ lonely ∧ proud ⇒ stupid” because missing: ambitious, lonely, proud. Cannot apply rule “lonely ∧ ambitious ⇒ stupid” because missing: lonely, ambitious.
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Facts: Batman is outstanding [PERIOD] Batman is muddy [PERIOD] Rules: stormy [AND] outstanding [AND] difficult [IMPLY] lucky [PERIOD] muddy [AND] outstanding [AND] difficult [IMPLY] lucky [PERIOD] difficult [IMPLY] stormy [PERIOD] grumpy [AND] muddy [AND] stormy [IMPLY] lucky [PERIOD] grumpy [IMPLY] muddy [PERIOD] out...
Proof chain: outstanding ⇒ grumpy outstanding ∧ grumpy ∧ muddy ⇒ difficult
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Facts: Batman is disgusted [PERIOD] Rules: clumsy [IMPLY] impatient [PERIOD] clumsy [AND] impatient [AND] broad-minded [IMPLY] fancy [PERIOD] disgusted [IMPLY] quaint [PERIOD] stupid [IMPLY] talkative [PERIOD] glamorous [AND] fancy [IMPLY] stupid [PERIOD] strange [AND] impatient [AND] bossy [IMPLY] wrong [PERIOD] spot...
Proof chain: disgusted ⇒ quaint Cannot apply rule “quaint ∧ hilarious ∧ scared ⇒ versatile” because missing: hilarious, scared.
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Facts: Batman is inexpensive [PERIOD] Rules: inexpensive [AND] nervous [AND] perfect [IMPLY] enchanting [PERIOD] nervous [AND] dishonest [AND] intellectual [IMPLY] popular [PERIOD] ugliest [AND] intellectual [AND] strange [IMPLY] attractive [PERIOD] mysterious [IMPLY] dishonest [PERIOD] mysterious [AND] perfect [IMPLY...
Proof chain: Cannot apply rule “inexpensive ∧ nervous ∧ perfect ⇒ enchanting” because missing: nervous, perfect. Cannot apply rule “popular ∧ inexpensive ⇒ enchanting” because missing: popular.
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Facts: Batman is outrageous [PERIOD] Batman is innocent [PERIOD] Batman is confident [PERIOD] Batman is lonely [PERIOD] Batman is sleepy [PERIOD] Batman is proud [PERIOD] Batman is foolish [PERIOD] Batman is wide-eyed [PERIOD] Batman is frightened [PERIOD] Rules: supportive [AND] difficult [AND] wide-eyed [IMPLY] spot...
Proof chain: wide-eyed ⇒ supportive supportive ∧ lonely ∧ frightened ⇒ fancy
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Facts: Batman is beautiful [PERIOD] Batman is hypocritical [PERIOD] Batman is anxious [PERIOD] Batman is helpless [PERIOD] Batman is scared [PERIOD] Batman is comfortable [PERIOD] Batman is careless [PERIOD] Batman is lucky [PERIOD] Batman is rude [PERIOD] Batman is intellectual [PERIOD] Batman is ambitious [PERIOD] B...
Proof chain: intellectual ∧ hypocritical ⇒ mysterious mysterious ∧ comfortable ⇒ victorious
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Facts: Batman is light [PERIOD] Batman is powerful [PERIOD] Batman is frail [PERIOD] Batman is sensible [PERIOD] Batman is joyous [PERIOD] Batman is blushing [PERIOD] Batman is selfish [PERIOD] Batman is confident [PERIOD] Batman is aggressive [PERIOD] Batman is frantic [PERIOD] Batman is shy [PERIOD] Batman is stormy...
Proof chain: outrageous ⇒ curious curious ⇒ bored
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2
Facts: Batman is plain [PERIOD] Batman is exuberant [PERIOD] Rules: zealous [AND] disgusted [AND] confused [IMPLY] proud [PERIOD] courageous [IMPLY] lucky [PERIOD] helpless [AND] tense [IMPLY] zealous [PERIOD] disgusted [AND] old-fashioned [IMPLY] plain [PERIOD] helpless [AND] inexpensive [IMPLY] lucky [PERIOD] inexpe...
Proof chain: Cannot apply rule “lucky ⇒ tense” because missing: lucky. Cannot apply rule “wrong ⇒ tense” because missing: wrong.
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Facts: Batman is ugliest [PERIOD] Batman is innocent [PERIOD] Batman is crowded [PERIOD] Batman is alert [PERIOD] Rules: alert [AND] intellectual [IMPLY] adorable [PERIOD] bad-tempered [AND] long [AND] dishonest [IMPLY] zealous [PERIOD] thoughtless [IMPLY] long [PERIOD] adorable [AND] serious [IMPLY] alert [PERIOD] cu...
Proof chain: Cannot apply rule “thoughtless ∧ precious ∧ gifted ⇒ dishonest” because missing: thoughtless, precious, gifted. Cannot apply rule “fearless ∧ versatile ∧ innocent ⇒ dishonest” because missing: fearless, versatile.
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Facts: Rules: adorable [IMPLY] foolish [PERIOD] adorable [AND] outstanding [AND] foolish [IMPLY] victorious [PERIOD] enchanting [IMPLY] outstanding [PERIOD] enchanting [IMPLY] adorable [PERIOD] supportive [IMPLY] intellectual [PERIOD] homely [IMPLY] easy [PERIOD] foolish [AND] cooperative [IMPLY] elated [PERIOD] intel...
Proof chain: Cannot apply rule “foolish ∧ elated ⇒ cooperative” because missing: foolish, elated. Cannot apply rule “messy ∧ elated ∧ easy ⇒ cooperative” because missing: messy, elated, easy.
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Facts: Batman is witty [PERIOD] Batman is wandering [PERIOD] Batman is beautiful [PERIOD] Batman is bored [PERIOD] Rules: average [IMPLY] wide-eyed [PERIOD] wide-eyed [IMPLY] glamorous [PERIOD] wandering [AND] elegant [IMPLY] famous [PERIOD] confident [IMPLY] glamorous [PERIOD] cute [AND] elegant [IMPLY] average [PERI...
Proof chain: witty ⇒ tired tired ⇒ average
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Facts: Batman is reserved [PERIOD] Batman is sensible [PERIOD] Batman is blushing [PERIOD] Rules: ugliest [AND] ambitious [IMPLY] unpleasant [PERIOD] sensible [IMPLY] ambitious [PERIOD] unpleasant [IMPLY] loving [PERIOD] mysterious [AND] impatient [IMPLY] precious [PERIOD] light [IMPLY] worried [PERIOD] horrible [AND]...
Proof chain: Cannot apply rule “aggressive ∧ light ⇒ impatient” because missing: aggressive, light. Cannot apply rule “sensible ∧ grumpy ∧ blushing ⇒ impatient” because missing: grumpy.
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Facts: Batman is sleepy [PERIOD] Batman is tired [PERIOD] Batman is hilarious [PERIOD] Batman is fancy [PERIOD] Batman is joyous [PERIOD] Batman is homely [PERIOD] Rules: cruel [AND] supportive [AND] sleepy [IMPLY] homely [PERIOD] joyous [AND] cruel [AND] sleepy [IMPLY] hilarious [PERIOD] tired [IMPLY] fancy [PERIOD] ...
Proof chain: fancy ⇒ supportive supportive ⇒ cruel
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Facts: Batman is bright [PERIOD] Rules: tidy [IMPLY] broad-minded [PERIOD] foolish [AND] intellectual [AND] hurt [IMPLY] frail [PERIOD] bright [IMPLY] broad-minded [PERIOD] dishonest [AND] bored [AND] thoughtless [IMPLY] pleasant [PERIOD] bored [AND] stormy [AND] dishonest [IMPLY] cute [PERIOD] broad-minded [AND] joyo...
Proof chain: Cannot apply rule “bright ∧ frail ∧ confident ⇒ bored” because missing: frail, confident. Cannot apply rule “dishonest ∧ hurt ∧ elated ⇒ bored” because missing: dishonest, hurt, elated.
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Facts: Rules: smart [AND] attentive [IMPLY] victorious [PERIOD] homely [IMPLY] victorious [PERIOD] homely [AND] victorious [IMPLY] smart [PERIOD] attentive [IMPLY] homely [PERIOD] tired [AND] attentive [IMPLY] smart [PERIOD] victorious [AND] tired [IMPLY] attentive [PERIOD] tired [AND] attentive [AND] victorious [IMPL...
Proof chain: Cannot apply rule “attentive ⇒ tired” because missing: attentive. Cannot apply rule “attentive ∧ victorious ∧ homely ⇒ tired” because missing: attentive, victorious, homely.
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2
Facts: Rules: gleaming [AND] attentive [IMPLY] ambitious [PERIOD] attentive [AND] tame [IMPLY] thoughtless [PERIOD] gleaming [AND] ambitious [AND] hilarious [IMPLY] tame [PERIOD] thoughtless [IMPLY] ambitious [PERIOD] hilarious [AND] attentive [IMPLY] tame [PERIOD] gleaming [IMPLY] thoughtless [PERIOD] tame [AND] ambi...
Proof chain: Cannot apply rule “gleaming ∧ ambitious ∧ attentive ⇒ hilarious” because missing: gleaming, ambitious, attentive. Cannot apply rule “gleaming ⇒ hilarious” because missing: gleaming.
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2
Facts: Batman is homely [PERIOD] Batman is mean [PERIOD] Rules: cruel [AND] bossy [IMPLY] polite [PERIOD] fancy [AND] muddy [IMPLY] bossy [PERIOD] unpleasant [AND] mean [AND] homely [IMPLY] polite [PERIOD] amused [IMPLY] cruel [PERIOD] fancy [IMPLY] bossy [PERIOD] unpleasant [AND] amused [AND] polite [IMPLY] different...
Proof chain: Cannot apply rule “mean ∧ elegant ∧ different ⇒ fancy” because missing: elegant, different. Cannot apply rule “amused ∧ confident ⇒ fancy” because missing: amused, confident.
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2
Facts: Rules: nervous [AND] frail [AND] modern [IMPLY] fancy [PERIOD] nervous [AND] fancy [AND] frail [IMPLY] tender [PERIOD] modern [IMPLY] fancy [PERIOD] fancy [AND] nervous [IMPLY] frail [PERIOD] fancy [AND] nervous [IMPLY] tender [PERIOD] fancy [AND] frail [IMPLY] modern [PERIOD] modern [AND] frail [AND] fancy [IM...
Proof chain: Cannot apply rule “nervous ∧ frail ∧ modern ⇒ fancy” because missing: nervous, frail, modern. Cannot apply rule “modern ⇒ fancy” because missing: modern.
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2
Facts: Batman is disobedient [PERIOD] Batman is pessimistic [PERIOD] Batman is diplomatic [PERIOD] Batman is bad-tempered [PERIOD] Batman is uptight [PERIOD] Batman is adorable [PERIOD] Batman is spotless [PERIOD] Rules: distinct [AND] selfish [IMPLY] reserved [PERIOD] adorable [IMPLY] bad-tempered [PERIOD] diplomatic...
Proof chain: Cannot apply rule “talented ∧ disobedient ∧ fearless ⇒ distinct” because missing: talented, fearless. Cannot apply rule “cruel ⇒ distinct” because missing: cruel.
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2
Facts: Batman is clumsy [PERIOD] Batman is sensible [PERIOD] Batman is witty [PERIOD] Batman is muddy [PERIOD] Batman is stubborn [PERIOD] Rules: gorgeous [IMPLY] friendly [PERIOD] inquisitive [AND] witty [IMPLY] clumsy [PERIOD] victorious [AND] bored [IMPLY] unpleasant [PERIOD] gorgeous [AND] inquisitive [IMPLY] sens...
Proof chain: clumsy ∧ witty ∧ stubborn ⇒ gorgeous gorgeous ⇒ friendly
1
2
Facts: Batman is selfish [PERIOD] Rules: hilarious [IMPLY] outstanding [PERIOD] selfish [AND] outstanding [AND] popular [IMPLY] curious [PERIOD] hypocritical [AND] curious [IMPLY] proud [PERIOD] stupid [AND] inquisitive [AND] fearless [IMPLY] polite [PERIOD] comfortable [AND] stupid [AND] curious [IMPLY] uptight [PERI...
Proof chain: Cannot apply rule “outstanding ∧ tender ∧ confused ⇒ stupid” because missing: outstanding, tender, confused. Cannot apply rule “mean ⇒ stupid” because missing: mean.
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2
Facts: Batman is careless [PERIOD] Batman is naughty [PERIOD] Batman is rational [PERIOD] Batman is wrong [PERIOD] Batman is reserved [PERIOD] Batman is hurt [PERIOD] Batman is alert [PERIOD] Batman is inquisitive [PERIOD] Batman is lucky [PERIOD] Batman is calm [PERIOD] Batman is weary [PERIOD] Batman is precious [PE...
Proof chain: elated ∧ inquisitive ⇒ cooperative grumpy ∧ cooperative ⇒ attentive
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2
Facts: Batman is condemned [PERIOD] Batman is jittery [PERIOD] Batman is disgusted [PERIOD] Batman is muddy [PERIOD] Batman is witty [PERIOD] Batman is stupid [PERIOD] Batman is helpful [PERIOD] Batman is silly [PERIOD] Batman is thoughtful [PERIOD] Batman is attentive [PERIOD] Batman is rude [PERIOD] Batman is horrib...
Proof chain: helpful ∧ unpleasant ⇒ broad-minded fine ∧ broad-minded ∧ unpleasant ⇒ selfish
1
2
Facts: Batman is worried [PERIOD] Rules: worried [AND] messy [AND] hypocritical [IMPLY] unpleasant [PERIOD] worried [AND] weary [IMPLY] hypocritical [PERIOD] excited [AND] weary [IMPLY] worried [PERIOD] elated [AND] excited [IMPLY] rude [PERIOD] worried [AND] hypocritical [AND] rude [IMPLY] weary [PERIOD] weary [IMPLY...
Proof chain: worried ⇒ excited excited ⇒ rude
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2
Facts: Batman is beautiful [PERIOD] Batman is broad-minded [PERIOD] Batman is tidy [PERIOD] Batman is friendly [PERIOD] Batman is helpless [PERIOD] Batman is fine [PERIOD] Batman is hilarious [PERIOD] Batman is modern [PERIOD] Batman is loving [PERIOD] Batman is charming [PERIOD] Batman is inexpensive [PERIOD] Batman ...
Proof chain: beautiful ∧ excited ∧ ambitious ⇒ rational rational ∧ charming ⇒ lucky
1
2
Facts: Batman is gorgeous [PERIOD] Batman is worried [PERIOD] Batman is versatile [PERIOD] Rules: diplomatic [AND] versatile [IMPLY] joyous [PERIOD] worried [AND] tense [IMPLY] clean [PERIOD] versatile [IMPLY] worried [PERIOD] clean [AND] tense [IMPLY] worried [PERIOD] diplomatic [AND] outstanding [IMPLY] clean [PERIO...
Proof chain: versatile ⇒ proud versatile ∧ proud ⇒ outstanding
1
2
Facts: Batman is condemned [PERIOD] Batman is impatient [PERIOD] Batman is spotless [PERIOD] Batman is wide-eyed [PERIOD] Batman is excited [PERIOD] Batman is enchanting [PERIOD] Batman is bored [PERIOD] Batman is confident [PERIOD] Rules: foolish [AND] spotless [AND] helpless [IMPLY] confused [PERIOD] helpless [AND] ...
Proof chain: condemned ⇒ reserved condemned ∧ reserved ⇒ plain
1
2
Facts: Rules: rude [AND] old-fashioned [AND] confident [IMPLY] exuberant [PERIOD] exuberant [AND] vivacious [AND] condemned [IMPLY] confident [PERIOD] blushing [AND] perfect [AND] excited [IMPLY] enchanting [PERIOD] enchanting [IMPLY] blushing [PERIOD] excited [AND] confident [AND] diplomatic [IMPLY] enchanting [PERIO...
Proof chain: Cannot apply rule “rude ∧ old-fashioned ∧ confident ⇒ exuberant” because missing: rude, old-fashioned, confident. Cannot apply rule “perfect ⇒ exuberant” because missing: perfect.
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2
Facts: Batman is sincere [PERIOD] Batman is alert [PERIOD] Batman is versatile [PERIOD] Batman is straightforward [PERIOD] Rules: sincere [AND] grumpy [AND] alert [IMPLY] fearless [PERIOD] straightforward [AND] fearless [AND] silly [IMPLY] alert [PERIOD] fearless [IMPLY] straightforward [PERIOD] grumpy [IMPLY] mean [P...
Proof chain: versatile ⇒ grumpy sincere ∧ grumpy ∧ alert ⇒ fearless
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Facts: Rules: vivacious [AND] modern [AND] gorgeous [IMPLY] loving [PERIOD] bored [AND] vivacious [IMPLY] gorgeous [PERIOD] easy [IMPLY] vivacious [PERIOD] modern [IMPLY] uptight [PERIOD] adorable [IMPLY] uptight [PERIOD] Query: Batman is uptight [PERIOD]
Proof chain: Cannot apply rule “modern ⇒ uptight” because missing: modern. Cannot apply rule “adorable ⇒ uptight” because missing: adorable.
0
2
Facts: Rules: elated [IMPLY] impatient [PERIOD] thoughtless [IMPLY] foolish [PERIOD] loving [AND] spotless [AND] mean [IMPLY] impatient [PERIOD] spotless [IMPLY] impatient [PERIOD] intellectual [AND] thoughtless [IMPLY] cute [PERIOD] mean [AND] cute [IMPLY] spotless [PERIOD] intellectual [IMPLY] spotless [PERIOD] nerv...
Proof chain: Cannot apply rule “thoughtless ∧ exuberant ∧ intellectual ⇒ sleepy” because missing: thoughtless, exuberant, intellectual. Cannot apply rule “exuberant ⇒ sleepy” because missing: exuberant.
0
2
Facts: Batman is easy [PERIOD] Batman is anxious [PERIOD] Batman is courageous [PERIOD] Batman is grumpy [PERIOD] Batman is long [PERIOD] Batman is curious [PERIOD] Batman is vivacious [PERIOD] Rules: helpless [AND] anxious [IMPLY] grumpy [PERIOD] helpless [AND] calm [AND] grumpy [IMPLY] courageous [PERIOD] curious [A...
Proof chain: anxious ⇒ confused confused ∧ courageous ⇒ clean
1
2
Facts: Batman is mean [PERIOD] Batman is thoughtless [PERIOD] Batman is perfect [PERIOD] Batman is excited [PERIOD] Rules: enchanting [AND] alert [IMPLY] modern [PERIOD] rude [AND] selfish [IMPLY] gleaming [PERIOD] busy [IMPLY] foolish [PERIOD] versatile [AND] perfect [IMPLY] mysterious [PERIOD] alert [AND] inexpensiv...
Proof chain: Cannot apply rule “tame ∧ mean ⇒ busy” because missing: tame. Cannot apply rule “plain ∧ thoughtless ∧ foolish ⇒ busy” because missing: plain, foolish.
0
2
Facts: Batman is victorious [PERIOD] Batman is famous [PERIOD] Batman is clumsy [PERIOD] Batman is light [PERIOD] Batman is muddy [PERIOD] Rules: light [AND] dishonest [AND] victorious [IMPLY] crowded [PERIOD] dishonest [AND] mean [AND] muddy [IMPLY] selfish [PERIOD] crowded [AND] amused [IMPLY] selfish [PERIOD] famou...
Proof chain: famous ⇒ crowded crowded ∧ clumsy ⇒ amused
1
2
Facts: Batman is long [PERIOD] Batman is confident [PERIOD] Batman is gleaming [PERIOD] Batman is mean [PERIOD] Batman is cooperative [PERIOD] Batman is unpleasant [PERIOD] Batman is ugliest [PERIOD] Batman is adorable [PERIOD] Batman is bored [PERIOD] Batman is perfect [PERIOD] Batman is shiny [PERIOD] Batman is cute...
Proof chain: cooperative ⇒ sensible sensible ∧ adorable ⇒ muddy
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2
Facts: Batman is lonely [PERIOD] Batman is distinct [PERIOD] Batman is hurt [PERIOD] Batman is strange [PERIOD] Rules: stupid [AND] tender [AND] fragile [IMPLY] charming [PERIOD] gorgeous [AND] enchanting [AND] smart [IMPLY] combative [PERIOD] strange [AND] lonely [AND] gorgeous [IMPLY] combative [PERIOD] jittery [AND...
Proof chain: lonely ⇒ jittery jittery ⇒ rude
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2
Facts: Batman is loving [PERIOD] Batman is beautiful [PERIOD] Batman is frantic [PERIOD] Rules: blushing [AND] strange [IMPLY] talkative [PERIOD] plain [IMPLY] lonely [PERIOD] different [AND] strange [AND] polite [IMPLY] beautiful [PERIOD] troubled [AND] sensible [AND] different [IMPLY] talkative [PERIOD] beautiful [A...
Proof chain: loving ⇒ plain plain ⇒ lonely
1
2
Facts: Batman is fancy [PERIOD] Batman is worried [PERIOD] Rules: frightened [AND] thoughtful [AND] innocent [IMPLY] light [PERIOD] muddy [IMPLY] light [PERIOD] ambitious [AND] sleepy [AND] tame [IMPLY] elegant [PERIOD] broad-minded [AND] innocent [AND] tame [IMPLY] long [PERIOD] elegant [AND] smart [IMPLY] thoughtful...
Proof chain: Cannot apply rule “frightened ∧ thoughtful ∧ innocent ⇒ light” because missing: frightened, thoughtful, innocent. Cannot apply rule “muddy ⇒ light” because missing: muddy.
0
2
Facts: Batman is tidy [PERIOD] Batman is mean [PERIOD] Batman is anxious [PERIOD] Rules: ambitious [AND] stormy [IMPLY] inquisitive [PERIOD] embarrassed [AND] stormy [AND] anxious [IMPLY] popular [PERIOD] embarrassed [AND] versatile [IMPLY] stormy [PERIOD] embarrassed [AND] popular [IMPLY] ambitious [PERIOD] tidy [AND...
Proof chain: tidy ∧ mean ⇒ friendly friendly ∧ tidy ⇒ joyous
1
2
Facts: Batman is agreeable [PERIOD] Batman is busy [PERIOD] Batman is outrageous [PERIOD] Batman is innocent [PERIOD] Batman is muddy [PERIOD] Batman is wandering [PERIOD] Batman is frightened [PERIOD] Batman is anxious [PERIOD] Batman is uptight [PERIOD] Batman is combative [PERIOD] Batman is gorgeous [PERIOD] Batman...
Proof chain: thoughtful ⇒ stormy gorgeous ∧ muddy ∧ stormy ⇒ blushing
1
2
Facts: Batman is calm [PERIOD] Rules: attractive [IMPLY] jittery [PERIOD] perfect [AND] attractive [IMPLY] jittery [PERIOD] Query: Batman is jittery [PERIOD]
Proof chain: Cannot apply rule “attractive ⇒ jittery” because missing: attractive. Cannot apply rule “perfect ∧ attractive ⇒ jittery” because missing: perfect, attractive.
0
2
Facts: Batman is excited [PERIOD] Batman is tame [PERIOD] Batman is bright [PERIOD] Rules: plain [AND] excited [AND] embarrassed [IMPLY] wide-eyed [PERIOD] amused [IMPLY] tame [PERIOD] bright [AND] amused [IMPLY] wide-eyed [PERIOD] embarrassed [AND] excited [IMPLY] amused [PERIOD] embarrassed [AND] excited [IMPLY] tam...
Proof chain: tame ∧ excited ∧ bright ⇒ plain plain ∧ tame ⇒ wide-eyed
1
2
Facts: Batman is frightened [PERIOD] Batman is average [PERIOD] Batman is careless [PERIOD] Batman is stupid [PERIOD] Batman is courageous [PERIOD] Rules: difficult [AND] frail [AND] courageous [IMPLY] mean [PERIOD] plain [AND] frail [AND] clean [IMPLY] cute [PERIOD] careless [AND] plain [IMPLY] frightened [PERIOD] di...
Proof chain: frightened ⇒ clumsy clumsy ∧ average ⇒ difficult
1
2
Facts: Batman is exuberant [PERIOD] Batman is victorious [PERIOD] Batman is intellectual [PERIOD] Batman is helpful [PERIOD] Rules: mean [IMPLY] busy [PERIOD] mean [IMPLY] victorious [PERIOD] muddy [AND] exuberant [AND] horrible [IMPLY] mean [PERIOD] victorious [AND] busy [AND] attractive [IMPLY] exuberant [PERIOD] sc...
Proof chain: helpful ⇒ attractive helpful ∧ attractive ⇒ busy
1
2
Facts: Batman is jittery [PERIOD] Rules: helpless [IMPLY] sensible [PERIOD] bad-tempered [AND] sensible [AND] helpless [IMPLY] troubled [PERIOD] gleaming [IMPLY] supportive [PERIOD] sensible [AND] straightforward [IMPLY] troubled [PERIOD] sensible [AND] straightforward [AND] fearless [IMPLY] tame [PERIOD] zealous [AND...
Proof chain: Cannot apply rule “fearless ∧ tame ⇒ amused” because missing: fearless, tame. Cannot apply rule “fine ⇒ amused” because missing: fine.
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2
Facts: Rules: joyous [AND] worried [AND] wandering [IMPLY] curious [PERIOD] nervous [AND] fragile [IMPLY] sleepy [PERIOD] nervous [IMPLY] bored [PERIOD] hypocritical [AND] nervous [AND] wandering [IMPLY] fragile [PERIOD] worried [AND] hypocritical [IMPLY] curious [PERIOD] bored [IMPLY] sleepy [PERIOD] worried [AND] ne...
Proof chain: Cannot apply rule “hypocritical ∧ nervous ∧ wandering ⇒ fragile” because missing: hypocritical, nervous, wandering. Cannot apply rule “worried ∧ nervous ⇒ fragile” because missing: worried, nervous.
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2
Facts: Batman is excited [PERIOD] Batman is diplomatic [PERIOD] Rules: bossy [AND] impatient [IMPLY] victorious [PERIOD] friendly [AND] excited [AND] amused [IMPLY] diplomatic [PERIOD] bossy [IMPLY] amused [PERIOD] amused [AND] distinct [AND] bossy [IMPLY] impatient [PERIOD] distinct [IMPLY] bossy [PERIOD] gleaming [I...
Proof chain: excited ⇒ lonely Cannot apply rule “bossy ∧ diplomatic ∧ lonely ⇒ distinct” because missing: bossy.
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2
Facts: Batman is thoughtless [PERIOD] Batman is average [PERIOD] Batman is frantic [PERIOD] Batman is rational [PERIOD] Batman is vivacious [PERIOD] Batman is alert [PERIOD] Rules: average [AND] stupid [AND] dishonest [IMPLY] rational [PERIOD] average [AND] combative [IMPLY] confident [PERIOD] stupid [AND] disgusted [...
Proof chain: thoughtless ∧ vivacious ∧ rational ⇒ dishonest average ∧ dishonest ⇒ spotless
1
2
Facts: Batman is hypocritical [PERIOD] Batman is lonely [PERIOD] Batman is stubborn [PERIOD] Rules: hypocritical [AND] stubborn [AND] lonely [IMPLY] zealous [PERIOD] lonely [AND] grumpy [IMPLY] tense [PERIOD] uptight [AND] charming [IMPLY] impartial [PERIOD] cute [IMPLY] uptight [PERIOD] attentive [AND] modern [AND] b...
Proof chain: stubborn ⇒ outstanding outstanding ∧ stubborn ⇒ impartial
1
2
Facts: Batman is modern [PERIOD] Rules: rational [IMPLY] cute [PERIOD] polite [IMPLY] straightforward [PERIOD] reserved [AND] fine [IMPLY] rude [PERIOD] cute [AND] rude [AND] gleaming [IMPLY] sleepy [PERIOD] crowded [AND] broad-minded [IMPLY] bored [PERIOD] stupid [AND] talkative [IMPLY] distinct [PERIOD] joyous [IMPL...
Proof chain: Cannot apply rule “joyous ⇒ polite” because missing: joyous. Cannot apply rule “innocent ∧ perfect ⇒ polite” because missing: innocent, perfect.
0
2
Facts: Batman is aggressive [PERIOD] Batman is messy [PERIOD] Batman is impatient [PERIOD] Batman is hypocritical [PERIOD] Rules: hypocritical [AND] impatient [AND] spotless [IMPLY] charming [PERIOD] worrisome [AND] unpleasant [IMPLY] ugly [PERIOD] broad-minded [AND] tame [AND] tidy [IMPLY] calm [PERIOD] foolish [IMPL...
Proof chain: Cannot apply rule “unpleasant ∧ stubborn ∧ glamorous ⇒ different” because missing: unpleasant, stubborn, glamorous. Cannot apply rule “frail ∧ glamorous ⇒ different” because missing: frail, glamorous.
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2
Facts: Batman is courageous [PERIOD] Rules: beautiful [AND] fancy [AND] polite [IMPLY] courageous [PERIOD] fancy [IMPLY] homely [PERIOD] spotless [AND] old-fashioned [IMPLY] fancy [PERIOD] lonely [AND] joyous [AND] friendly [IMPLY] beautiful [PERIOD] courageous [AND] friendly [IMPLY] beautiful [PERIOD] friendly [AND] ...
Proof chain: courageous ⇒ old-fashioned Cannot apply rule “old-fashioned ∧ lonely ⇒ polite” because missing: lonely.
0
2
Facts: Batman is agreeable [PERIOD] Rules: gorgeous [IMPLY] tender [PERIOD] confused [AND] gorgeous [AND] elegant [IMPLY] victorious [PERIOD] gorgeous [IMPLY] elegant [PERIOD] agreeable [AND] good [IMPLY] confused [PERIOD] thoughtless [IMPLY] elegant [PERIOD] elegant [AND] gorgeous [IMPLY] victorious [PERIOD] confused...
Proof chain: Cannot apply rule “gorgeous ⇒ tender” because missing: gorgeous. Cannot apply rule “elegant ∧ good ∧ confused ⇒ tender” because missing: elegant, good, confused.
0
2
Facts: Batman is anxious [PERIOD] Rules: calm [IMPLY] elated [PERIOD] easy [AND] zealous [AND] elated [IMPLY] calm [PERIOD] clumsy [IMPLY] curious [PERIOD] clumsy [IMPLY] confused [PERIOD] calm [AND] zealous [IMPLY] anxious [PERIOD] versatile [AND] helpless [IMPLY] clumsy [PERIOD] gifted [AND] attentive [IMPLY] easy [...
Proof chain: anxious ⇒ elated Cannot apply rule “elated ∧ attentive ⇒ gifted” because missing: attentive.
0
2
Facts: Batman is polite [PERIOD] Batman is different [PERIOD] Batman is powerful [PERIOD] Batman is helpless [PERIOD] Batman is glamorous [PERIOD] Batman is sleepy [PERIOD] Batman is difficult [PERIOD] Rules: crowded [IMPLY] average [PERIOD] sincere [AND] blushing [AND] average [IMPLY] crowded [PERIOD] sleepy [IMPLY] ...
Proof chain: different ⇒ good good ⇒ blushing
1
2
Facts: Batman is friendly [PERIOD] Batman is agreeable [PERIOD] Batman is wandering [PERIOD] Batman is vivacious [PERIOD] Rules: joyous [AND] beautiful [AND] agreeable [IMPLY] wide-eyed [PERIOD] powerful [IMPLY] stormy [PERIOD] beautiful [IMPLY] perfect [PERIOD] outrageous [AND] perfect [AND] helpful [IMPLY] unpleasan...
Proof chain: Cannot apply rule “powerful ⇒ stormy” because missing: powerful. Cannot apply rule “uptight ∧ blushing ⇒ stormy” because missing: uptight, blushing.
0
2
Facts: Rules: outrageous [AND] friendly [IMPLY] enchanting [PERIOD] stupid [IMPLY] bright [PERIOD] tired [AND] helpful [AND] bright [IMPLY] sleepy [PERIOD] bright [AND] friendly [IMPLY] serious [PERIOD] rational [AND] disgusted [AND] outrageous [IMPLY] bright [PERIOD] stupid [IMPLY] impatient [PERIOD] shiny [IMPLY] sl...
Proof chain: Cannot apply rule “outrageous ∧ friendly ⇒ enchanting” because missing: outrageous, friendly. Cannot apply rule “tidy ∧ rational ⇒ enchanting” because missing: tidy, rational.
0
2
Facts: Batman is ugly [PERIOD] Batman is rational [PERIOD] Batman is loving [PERIOD] Batman is victorious [PERIOD] Rules: ugly [AND] loving [AND] proud [IMPLY] ambitious [PERIOD] enchanting [AND] versatile [AND] proud [IMPLY] uptight [PERIOD] frail [IMPLY] uptight [PERIOD] lucky [AND] ugly [IMPLY] uptight [PERIOD] ugl...
Proof chain: victorious ∧ loving ⇒ innocent loving ∧ innocent ⇒ ambitious
1
2
Facts: Batman is stubborn [PERIOD] Batman is gleaming [PERIOD] Rules: gleaming [IMPLY] pleasant [PERIOD] stubborn [AND] cruel [AND] pleasant [IMPLY] gleaming [PERIOD] aggressive [AND] pleasant [IMPLY] gleaming [PERIOD] gleaming [AND] cruel [IMPLY] aggressive [PERIOD] pleasant [AND] stubborn [AND] aggressive [IMPLY] cr...
Proof chain: Cannot apply rule “gleaming ∧ cruel ⇒ aggressive” because missing: cruel. Cannot apply rule “gleaming ∧ stubborn ∧ cruel ⇒ aggressive” because missing: cruel.
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2
Facts: Batman is combative [PERIOD] Batman is silly [PERIOD] Batman is plain [PERIOD] Batman is pessimistic [PERIOD] Batman is hilarious [PERIOD] Rules: vivacious [IMPLY] smart [PERIOD] anxious [AND] pessimistic [AND] broad-minded [IMPLY] hilarious [PERIOD] calm [AND] broad-minded [AND] innocent [IMPLY] sleepy [PERIOD...
Proof chain: combative ⇒ vivacious vivacious ⇒ innocent
1
2
Facts: Rules: glamorous [AND] crowded [IMPLY] strange [PERIOD] average [AND] modern [IMPLY] stormy [PERIOD] gorgeous [IMPLY] strange [PERIOD] stormy [AND] beautiful [IMPLY] average [PERIOD] beautiful [AND] average [IMPLY] gorgeous [PERIOD] modern [AND] strange [IMPLY] stormy [PERIOD] gorgeous [AND] crowded [AND] moder...
Proof chain: Cannot apply rule “beautiful ∧ average ⇒ gorgeous” because missing: beautiful, average. Cannot apply rule “crowded ∧ strange ⇒ gorgeous” because missing: crowded, strange.
0
2
Facts: Batman is worried [PERIOD] Batman is wide-eyed [PERIOD] Rules: wide-eyed [IMPLY] versatile [PERIOD] silly [IMPLY] spotless [PERIOD] wide-eyed [AND] confident [IMPLY] helpless [PERIOD] spotless [AND] shiny [IMPLY] wide-eyed [PERIOD] distinct [IMPLY] wide-eyed [PERIOD] wide-eyed [AND] bossy [AND] versatile [IMPLY...
Proof chain: worried ⇒ confident wide-eyed ∧ confident ⇒ helpless
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2
Facts: Batman is calm [PERIOD] Batman is elegant [PERIOD] Rules: shy [AND] serious [AND] messy [IMPLY] inexpensive [PERIOD] inexpensive [AND] dull [IMPLY] lucky [PERIOD] calm [IMPLY] inexpensive [PERIOD] serious [IMPLY] dull [PERIOD] dull [AND] elegant [AND] shy [IMPLY] inexpensive [PERIOD] dull [AND] messy [AND] luck...
Proof chain: calm ⇒ inexpensive inexpensive ⇒ dull
1
2
Facts: Batman is pleasant [PERIOD] Rules: wandering [AND] charming [IMPLY] fancy [PERIOD] wandering [AND] beautiful [AND] friendly [IMPLY] frantic [PERIOD] wandering [AND] fancy [AND] lucky [IMPLY] friendly [PERIOD] pleasant [AND] charming [IMPLY] easy [PERIOD] frantic [AND] charming [AND] easy [IMPLY] beautiful [PERI...
Proof chain: Cannot apply rule “wandering ∧ beautiful ∧ friendly ⇒ frantic” because missing: wandering, beautiful, friendly. Cannot apply rule “fancy ⇒ frantic” because missing: fancy.
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2
Facts: Batman is supportive [PERIOD] Batman is polite [PERIOD] Batman is straightforward [PERIOD] Rules: uptight [AND] polite [AND] foolish [IMPLY] tired [PERIOD] straightforward [IMPLY] supportive [PERIOD] straightforward [IMPLY] polite [PERIOD] supportive [IMPLY] straightforward [PERIOD] uptight [IMPLY] straightforw...
Proof chain: straightforward ∧ polite ⇒ tired tired ⇒ uptight
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Facts: Batman is shy [PERIOD] Rules: condemned [AND] pessimistic [IMPLY] intellectual [PERIOD] shy [AND] talented [AND] helpful [IMPLY] tame [PERIOD] intellectual [AND] embarrassed [IMPLY] helpful [PERIOD] careless [IMPLY] embarrassed [PERIOD] friendly [AND] spotless [AND] careless [IMPLY] intellectual [PERIOD] spotle...
Proof chain: Cannot apply rule “intellectual ∧ embarrassed ⇒ helpful” because missing: intellectual, embarrassed. Cannot apply rule “shy ∧ careless ⇒ helpful” because missing: careless.
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2
Facts: Batman is wrong [PERIOD] Batman is diplomatic [PERIOD] Rules: precious [IMPLY] quaint [PERIOD] curious [AND] powerful [AND] blushing [IMPLY] loving [PERIOD] modern [IMPLY] talkative [PERIOD] courageous [IMPLY] inquisitive [PERIOD] smart [AND] quaint [IMPLY] powerful [PERIOD] shiny [AND] talkative [IMPLY] confus...
Proof chain: Cannot apply rule “disgusted ∧ jittery ⇒ curious” because missing: disgusted, jittery. Cannot apply rule “disgusted ∧ horrible ⇒ curious” because missing: disgusted, horrible.
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2
Facts: Rules: wandering [IMPLY] uptight [PERIOD] wandering [AND] lonely [IMPLY] uptight [PERIOD] stubborn [AND] uptight [AND] lonely [IMPLY] wandering [PERIOD] sincere [AND] lonely [IMPLY] uptight [PERIOD] stubborn [AND] uptight [AND] sincere [IMPLY] wandering [PERIOD] sincere [AND] uptight [AND] lonely [IMPLY] stubbo...
Proof chain: Cannot apply rule “uptight ⇒ sincere” because missing: uptight. Cannot apply rule “stubborn ⇒ sincere” because missing: stubborn.
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2
Facts: Rules: tame [IMPLY] comfortable [PERIOD] talkative [IMPLY] powerful [PERIOD] tame [AND] sensible [AND] tense [IMPLY] grumpy [PERIOD] powerful [AND] grumpy [IMPLY] tame [PERIOD] sensible [AND] talkative [IMPLY] comfortable [PERIOD] sensible [AND] tense [IMPLY] talkative [PERIOD] sensible [IMPLY] talkative [PERIO...
Proof chain: Cannot apply rule “tame ∧ sensible ∧ tense ⇒ grumpy” because missing: tame, sensible, tense. Cannot apply rule “tense ∧ talkative ∧ comfortable ⇒ grumpy” because missing: tense, talkative, comfortable.
0
2
Facts: Batman is powerful [PERIOD] Batman is stormy [PERIOD] Batman is embarrassed [PERIOD] Batman is precious [PERIOD] Batman is distinct [PERIOD] Batman is impatient [PERIOD] Batman is fearless [PERIOD] Batman is troubled [PERIOD] Batman is diplomatic [PERIOD] Batman is friendly [PERIOD] Batman is inexpensive [PERIO...
Proof chain: distinct ⇒ wide-eyed wide-eyed ⇒ attractive
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Facts: Batman is talented [PERIOD] Rules: light [AND] cute [AND] fine [IMPLY] talented [PERIOD] reserved [AND] bored [AND] tense [IMPLY] talented [PERIOD] exuberant [AND] cute [AND] thoughtful [IMPLY] fine [PERIOD] thoughtful [IMPLY] ugly [PERIOD] exuberant [AND] ambitious [AND] confident [IMPLY] wrong [PERIOD] elated...
Proof chain: talented ⇒ pleasant pleasant ⇒ reserved
1
2
Facts: Rules: wrong [IMPLY] condemned [PERIOD] frantic [AND] condemned [IMPLY] difficult [PERIOD] fragile [AND] homely [AND] thoughtless [IMPLY] blushing [PERIOD] perfect [AND] blushing [IMPLY] frantic [PERIOD] disobedient [AND] perfect [IMPLY] agreeable [PERIOD] spotless [AND] reserved [IMPLY] difficult [PERIOD] popu...
Proof chain: Cannot apply rule “blushing ⇒ hilarious” because missing: blushing. Cannot apply rule “agreeable ⇒ hilarious” because missing: agreeable.
0
2
Facts: Batman is different [PERIOD] Rules: ugliest [IMPLY] different [PERIOD] long [AND] weary [AND] ugly [IMPLY] ugliest [PERIOD] weary [AND] different [AND] ugliest [IMPLY] long [PERIOD] cute [AND] pessimistic [AND] ugliest [IMPLY] ugly [PERIOD] ugly [AND] weary [IMPLY] long [PERIOD] cute [IMPLY] different [PERIOD] ...
Proof chain: Cannot apply rule “weary ⇒ cute” because missing: weary. Cannot apply rule “weary ∧ ugly ∧ ugliest ⇒ cute” because missing: weary, ugly, ugliest.
0
2
Facts: Batman is fancy [PERIOD] Rules: gifted [AND] popular [AND] famous [IMPLY] fancy [PERIOD] famous [IMPLY] shy [PERIOD] gifted [AND] fancy [IMPLY] popular [PERIOD] lonely [IMPLY] fancy [PERIOD] lonely [IMPLY] gifted [PERIOD] popular [IMPLY] famous [PERIOD] shy [AND] fancy [AND] gifted [IMPLY] impartial [PERIOD] im...
Proof chain: fancy ⇒ impartial impartial ⇒ shy
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Facts: Batman is spotless [PERIOD] Batman is homely [PERIOD] Batman is disgusted [PERIOD] Rules: lonely [IMPLY] dull [PERIOD] good [AND] muddy [AND] hilarious [IMPLY] versatile [PERIOD] homely [AND] curious [AND] famous [IMPLY] calm [PERIOD] broad-minded [AND] loving [IMPLY] famous [PERIOD] worried [AND] wandering [AN...
Proof chain: spotless ⇒ curious Cannot apply rule “homely ∧ curious ∧ famous ⇒ calm” because missing: famous.
0
2
Facts: Batman is glamorous [PERIOD] Batman is aggressive [PERIOD] Batman is amused [PERIOD] Batman is long [PERIOD] Rules: joyous [AND] quaint [AND] bad-tempered [IMPLY] aggressive [PERIOD] troubled [IMPLY] long [PERIOD] long [AND] disgusted [IMPLY] glamorous [PERIOD] quaint [AND] aggressive [IMPLY] joyous [PERIOD] lo...
Proof chain: amused ∧ glamorous ⇒ disgusted long ∧ disgusted ⇒ troubled
1
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