Question string | Complex_CoT string | Response int64 | Depth int64 |
|---|---|---|---|
Facts: Batman is agreeable [PERIOD] Batman is different [PERIOD] Batman is fancy [PERIOD] Batman is beautiful [PERIOD] Batman is unpleasant [PERIOD]
Rules:
beautiful [IMPLY] unpleasant [PERIOD]
beautiful [AND] anxious [IMPLY] calm [PERIOD]
distinct [AND] beautiful [IMPLY] smart [PERIOD]
different [AND] anxious [AND] p... | Proof chain:
Cannot apply rule “beautiful ∧ anxious ⇒ calm” because missing: anxious.
Cannot apply rule “naughty ∧ perfect ∧ impartial ⇒ calm” because missing: naughty, perfect, impartial.
| 0 | 2 |
Facts: Batman is bored [PERIOD] Batman is silly [PERIOD] Batman is crowded [PERIOD] Batman is versatile [PERIOD]
Rules:
crowded [AND] bored [IMPLY] stubborn [PERIOD]
quaint [AND] stubborn [AND] crowded [IMPLY] shy [PERIOD]
grumpy [AND] shy [IMPLY] bored [PERIOD]
stubborn [IMPLY] shy [PERIOD]
stubborn [IMPLY] silly [PE... | Proof chain:
crowded ∧ bored ⇒ stubborn
stubborn ⇒ shy
| 1 | 2 |
Facts:
Rules:
mean [IMPLY] embarrassed [PERIOD]
ambitious [IMPLY] long [PERIOD]
distinct [IMPLY] hurt [PERIOD]
condemned [IMPLY] gorgeous [PERIOD]
gorgeous [IMPLY] embarrassed [PERIOD]
spotless [AND] hurt [AND] polite [IMPLY] distinct [PERIOD]
gorgeous [AND] polite [AND] distinct [IMPLY] long [PERIOD]
excited [AND] in... | Proof chain:
Cannot apply rule “spotless ⇒ frightened” because missing: spotless.
Cannot apply rule “troubled ∧ mean ∧ long ⇒ frightened” because missing: troubled, mean, long.
| 0 | 2 |
Facts:
Rules:
frantic [IMPLY] hypocritical [PERIOD]
confused [AND] cute [IMPLY] courageous [PERIOD]
popular [AND] courageous [AND] inexpensive [IMPLY] frantic [PERIOD]
weary [AND] cute [AND] precious [IMPLY] tender [PERIOD]
confused [AND] frantic [IMPLY] attentive [PERIOD]
fancy [IMPLY] inexpensive [PERIOD]
naughty [A... | Proof chain:
Cannot apply rule “confused ∧ cute ⇒ courageous” because missing: confused, cute.
Cannot apply rule “tired ∧ victorious ⇒ courageous” because missing: tired, victorious.
| 0 | 2 |
Facts:
Rules:
wide-eyed [AND] quaint [AND] popular [IMPLY] victorious [PERIOD]
wide-eyed [AND] famous [AND] strange [IMPLY] unpleasant [PERIOD]
unpleasant [AND] long [AND] plain [IMPLY] victorious [PERIOD]
bright [AND] famous [IMPLY] shiny [PERIOD]
plain [AND] quaint [AND] bright [IMPLY] long [PERIOD]
popular [IMPLY] ... | Proof chain:
Cannot apply rule “different ⇒ plain” because missing: different.
Cannot apply rule “famous ∧ outrageous ∧ unpleasant ⇒ plain” because missing: famous, outrageous, unpleasant.
| 0 | 2 |
Facts: Batman is light [PERIOD] Batman is bossy [PERIOD] Batman is talkative [PERIOD] Batman is disobedient [PERIOD] Batman is clean [PERIOD] Batman is uptight [PERIOD] Batman is sincere [PERIOD] Batman is curious [PERIOD] Batman is zealous [PERIOD] Batman is silly [PERIOD] Batman is dull [PERIOD] Batman is stormy [PE... | Proof chain:
stormy ⇒ rational
rational ⇒ friendly
| 1 | 2 |
Facts: Batman is joyous [PERIOD] Batman is proud [PERIOD] Batman is foolish [PERIOD] Batman is gorgeous [PERIOD] Batman is gifted [PERIOD] Batman is impatient [PERIOD] Batman is impartial [PERIOD] Batman is stubborn [PERIOD] Batman is strange [PERIOD] Batman is diplomatic [PERIOD] Batman is powerful [PERIOD]
Rules:
pr... | Proof chain:
gifted ⇒ aggressive
aggressive ⇒ sensible
| 1 | 2 |
Facts: Batman is hilarious [PERIOD] Batman is joyous [PERIOD]
Rules:
dishonest [AND] broad-minded [IMPLY] hilarious [PERIOD]
hilarious [AND] joyous [IMPLY] broad-minded [PERIOD]
joyous [IMPLY] troubled [PERIOD]
hilarious [AND] dishonest [AND] old-fashioned [IMPLY] broad-minded [PERIOD]
broad-minded [AND] old-fashioned... | Proof chain:
hilarious ∧ joyous ⇒ broad-minded
broad-minded ∧ hilarious ⇒ dishonest
| 1 | 2 |
Facts: Batman is excited [PERIOD] Batman is powerful [PERIOD] Batman is courageous [PERIOD] Batman is fancy [PERIOD] Batman is shy [PERIOD] Batman is mean [PERIOD] Batman is attentive [PERIOD]
Rules:
spotless [AND] powerful [AND] disobedient [IMPLY] shy [PERIOD]
shy [AND] combative [IMPLY] courageous [PERIOD]
courageo... | Proof chain:
Cannot apply rule “attentive ∧ light ⇒ embarrassed” because missing: light.
Cannot apply rule “dull ∧ gifted ∧ excited ⇒ embarrassed” because missing: dull, gifted.
| 0 | 2 |
Facts: Batman is versatile [PERIOD] Batman is outstanding [PERIOD] Batman is calm [PERIOD]
Rules:
versatile [IMPLY] stubborn [PERIOD]
friendly [AND] victorious [IMPLY] worrisome [PERIOD]
combative [IMPLY] scared [PERIOD]
versatile [AND] friendly [AND] calm [IMPLY] victorious [PERIOD]
victorious [AND] crowded [AND] fri... | Proof chain:
Cannot apply rule “versatile ∧ fearless ∧ worrisome ⇒ polite” because missing: fearless, worrisome.
Cannot apply rule “friendly ⇒ polite” because missing: friendly.
| 0 | 2 |
Facts: Batman is troubled [PERIOD]
Rules:
cooperative [IMPLY] busy [PERIOD]
messy [AND] friendly [AND] tidy [IMPLY] troubled [PERIOD]
cooperative [AND] tidy [IMPLY] busy [PERIOD]
cooperative [IMPLY] troubled [PERIOD]
troubled [AND] messy [IMPLY] busy [PERIOD]
busy [IMPLY] messy [PERIOD]
cooperative [AND] friendly [AND... | Proof chain:
Cannot apply rule “busy ⇒ messy” because missing: busy.
Cannot apply rule “cooperative ∧ friendly ∧ tidy ⇒ messy” because missing: cooperative, friendly, tidy.
| 0 | 2 |
Facts:
Rules:
calm [IMPLY] talkative [PERIOD]
sensible [AND] hilarious [AND] sincere [IMPLY] supportive [PERIOD]
supportive [AND] hilarious [IMPLY] sensible [PERIOD]
talkative [AND] hilarious [AND] sincere [IMPLY] fine [PERIOD]
wrong [AND] sensible [IMPLY] fine [PERIOD]
supportive [AND] talkative [IMPLY] sincere [PERI... | Proof chain:
Cannot apply rule “sensible ∧ hilarious ∧ sincere ⇒ supportive” because missing: sensible, hilarious, sincere.
Cannot apply rule “hilarious ⇒ supportive” because missing: hilarious.
| 0 | 2 |
Facts:
Rules:
ambitious [AND] long [AND] unpleasant [IMPLY] stupid [PERIOD]
long [AND] rude [IMPLY] uptight [PERIOD]
frantic [AND] uptight [IMPLY] tense [PERIOD]
unpleasant [AND] stupid [IMPLY] rude [PERIOD]
uptight [IMPLY] unpleasant [PERIOD]
ambitious [AND] long [AND] stupid [IMPLY] uptight [PERIOD]
stupid [IMPLY] r... | Proof chain:
Cannot apply rule “unpleasant ∧ stupid ⇒ rude” because missing: unpleasant, stupid.
Cannot apply rule “stupid ⇒ rude” because missing: stupid.
| 0 | 2 |
Facts: Batman is confused [PERIOD] Batman is attractive [PERIOD]
Rules:
ugly [AND] attractive [AND] glamorous [IMPLY] supportive [PERIOD]
fragile [AND] pessimistic [IMPLY] glamorous [PERIOD]
victorious [IMPLY] glamorous [PERIOD]
Query: Batman is glamorous [PERIOD] | Proof chain:
Cannot apply rule “fragile ∧ pessimistic ⇒ glamorous” because missing: fragile, pessimistic.
Cannot apply rule “victorious ⇒ glamorous” because missing: victorious.
| 0 | 2 |
Facts: Batman is troubled [PERIOD] Batman is anxious [PERIOD] Batman is calm [PERIOD] Batman is good [PERIOD] Batman is reserved [PERIOD]
Rules:
reserved [AND] tender [IMPLY] frail [PERIOD]
gorgeous [AND] mean [AND] straightforward [IMPLY] agreeable [PERIOD]
reserved [IMPLY] disgusted [PERIOD]
sensible [AND] straightf... | Proof chain:
troubled ∧ reserved ∧ calm ⇒ curious
curious ⇒ crowded
| 1 | 2 |
Facts:
Rules:
fancy [AND] uptight [AND] messy [IMPLY] charming [PERIOD]
ugly [IMPLY] rude [PERIOD]
ugly [AND] sincere [IMPLY] glamorous [PERIOD]
foolish [IMPLY] rude [PERIOD]
messy [AND] selfish [IMPLY] cruel [PERIOD]
fancy [AND] serious [AND] cruel [IMPLY] comfortable [PERIOD]
selfish [IMPLY] silly [PERIOD]
rude [IMP... | Proof chain:
Cannot apply rule “serious ∧ charming ∧ cruel ⇒ sincere” because missing: serious, charming, cruel.
Cannot apply rule “serious ∧ selfish ∧ rude ⇒ sincere” because missing: serious, selfish, rude.
| 0 | 2 |
Facts: Batman is dull [PERIOD]
Rules:
stormy [IMPLY] tense [PERIOD]
innocent [AND] clean [IMPLY] dull [PERIOD]
bored [IMPLY] dull [PERIOD]
bored [AND] tense [AND] combative [IMPLY] wrong [PERIOD]
sincere [AND] clean [AND] helpful [IMPLY] wrong [PERIOD]
clean [AND] combative [IMPLY] helpful [PERIOD]
dull [AND] innocent... | Proof chain:
Cannot apply rule “bored ∧ gleaming ∧ wrong ⇒ sincere” because missing: bored, gleaming, wrong.
Cannot apply rule “innocent ∧ clean ⇒ sincere” because missing: innocent, clean.
| 0 | 2 |
Facts: Batman is smart [PERIOD] Batman is average [PERIOD]
Rules:
average [AND] hilarious [AND] anxious [IMPLY] innocent [PERIOD]
attractive [IMPLY] condemned [PERIOD]
attractive [AND] condemned [AND] hilarious [IMPLY] smart [PERIOD]
innocent [AND] attractive [AND] attentive [IMPLY] smart [PERIOD]
hilarious [AND] cond... | Proof chain:
Cannot apply rule “attractive ⇒ hilarious” because missing: attractive.
Cannot apply rule “smart ∧ condemned ⇒ hilarious” because missing: condemned.
| 0 | 2 |
Facts: Batman is popular [PERIOD]
Rules:
tired [IMPLY] agreeable [PERIOD]
agreeable [AND] popular [IMPLY] charming [PERIOD]
popular [AND] powerful [AND] cute [IMPLY] charming [PERIOD]
agreeable [IMPLY] cute [PERIOD]
Query: Batman is charming [PERIOD] | Proof chain:
Cannot apply rule “agreeable ∧ popular ⇒ charming” because missing: agreeable.
Cannot apply rule “popular ∧ powerful ∧ cute ⇒ charming” because missing: powerful, cute.
| 0 | 2 |
Facts: Batman is stormy [PERIOD] Batman is jittery [PERIOD] Batman is talkative [PERIOD] Batman is innocent [PERIOD] Batman is fancy [PERIOD] Batman is diplomatic [PERIOD]
Rules:
diplomatic [AND] outstanding [AND] spotless [IMPLY] innocent [PERIOD]
selfish [AND] easy [AND] worrisome [IMPLY] light [PERIOD]
stormy [IMPL... | Proof chain:
jittery ∧ talkative ⇒ easy
easy ⇒ straightforward
| 1 | 2 |
Facts: Batman is homely [PERIOD] Batman is agreeable [PERIOD] Batman is innocent [PERIOD] Batman is clumsy [PERIOD]
Rules:
elated [IMPLY] innocent [PERIOD]
pessimistic [AND] jittery [IMPLY] weary [PERIOD]
inexpensive [AND] agreeable [IMPLY] pessimistic [PERIOD]
plain [AND] innocent [AND] friendly [IMPLY] weary [PERIOD... | Proof chain:
agreeable ∧ clumsy ∧ homely ⇒ inexpensive
inexpensive ∧ agreeable ⇒ jittery
| 1 | 2 |
Facts: Batman is glamorous [PERIOD] Batman is talented [PERIOD]
Rules:
muddy [AND] glamorous [AND] distinct [IMPLY] witty [PERIOD]
glamorous [IMPLY] muddy [PERIOD]
muddy [AND] distinct [AND] witty [IMPLY] talented [PERIOD]
talented [AND] distinct [IMPLY] witty [PERIOD]
witty [AND] talented [AND] distinct [IMPLY] muddy... | Proof chain:
glamorous ∧ talented ⇒ distinct
talented ∧ distinct ⇒ witty
| 1 | 2 |
Facts: Batman is bright [PERIOD] Batman is light [PERIOD] Batman is fragile [PERIOD]
Rules:
tense [IMPLY] light [PERIOD]
tense [AND] light [AND] difficult [IMPLY] bright [PERIOD]
tense [AND] strange [AND] fearless [IMPLY] difficult [PERIOD]
strange [AND] light [AND] fragile [IMPLY] helpful [PERIOD]
helpful [AND] diffi... | Proof chain:
Cannot apply rule “strange ∧ light ∧ fragile ⇒ helpful” because missing: strange.
Cannot apply rule “fragile ∧ fearless ⇒ helpful” because missing: fearless.
| 0 | 2 |
Facts: Batman is long [PERIOD] Batman is gleaming [PERIOD] Batman is shiny [PERIOD] Batman is bossy [PERIOD]
Rules:
shiny [AND] bossy [AND] dishonest [IMPLY] worried [PERIOD]
long [AND] shiny [IMPLY] inquisitive [PERIOD]
worried [AND] clean [AND] inquisitive [IMPLY] rational [PERIOD]
gleaming [AND] inquisitive [AND] s... | Proof chain:
Cannot apply rule “dishonest ⇒ stupid” because missing: dishonest.
Cannot apply rule “long ∧ versatile ⇒ stupid” because missing: versatile.
| 0 | 2 |
Facts: Batman is bored [PERIOD] Batman is gifted [PERIOD] Batman is inquisitive [PERIOD] Batman is elated [PERIOD]
Rules:
tender [IMPLY] confident [PERIOD]
elated [AND] gifted [AND] bored [IMPLY] tender [PERIOD]
tender [IMPLY] bored [PERIOD]
agreeable [IMPLY] tender [PERIOD]
elated [IMPLY] tender [PERIOD]
inquisitive ... | Proof chain:
elated ⇒ tender
tender ⇒ confident
| 1 | 2 |
Facts: Batman is excited [PERIOD]
Rules:
light [AND] helpful [IMPLY] wide-eyed [PERIOD]
light [AND] wide-eyed [IMPLY] homely [PERIOD]
dull [AND] popular [IMPLY] silly [PERIOD]
bad-tempered [AND] popular [IMPLY] hypocritical [PERIOD]
tense [AND] silly [IMPLY] wandering [PERIOD]
tense [AND] vivacious [IMPLY] light [PERI... | Proof chain:
Cannot apply rule “homely ∧ light ∧ bad-tempered ⇒ dull” because missing: homely, light, bad-tempered.
Cannot apply rule “popular ∧ excited ∧ average ⇒ dull” because missing: popular, average.
| 0 | 2 |
Facts: Batman is calm [PERIOD] Batman is rational [PERIOD] Batman is bad-tempered [PERIOD] Batman is busy [PERIOD]
Rules:
glamorous [AND] rational [AND] fine [IMPLY] pessimistic [PERIOD]
smart [IMPLY] thoughtless [PERIOD]
comfortable [AND] different [AND] thoughtless [IMPLY] busy [PERIOD]
tame [AND] rational [IMPLY] a... | Proof chain:
Cannot apply rule “glamorous ∧ rational ∧ fine ⇒ pessimistic” because missing: glamorous, fine.
Cannot apply rule “thoughtless ∧ gorgeous ∧ homely ⇒ pessimistic” because missing: thoughtless, gorgeous, homely.
| 0 | 2 |
Facts: Batman is disobedient [PERIOD] Batman is cruel [PERIOD] Batman is modern [PERIOD]
Rules:
impatient [IMPLY] shiny [PERIOD]
cruel [AND] modern [AND] shiny [IMPLY] impatient [PERIOD]
cruel [AND] courageous [IMPLY] disobedient [PERIOD]
courageous [IMPLY] modern [PERIOD]
courageous [AND] inexpensive [AND] combative ... | Proof chain:
disobedient ⇒ courageous
courageous ⇒ inexpensive
| 1 | 2 |
Facts: Batman is condemned [PERIOD] Batman is horrible [PERIOD] Batman is smart [PERIOD] Batman is vivacious [PERIOD]
Rules:
horrible [AND] amused [AND] sincere [IMPLY] excited [PERIOD]
excited [AND] amused [AND] sincere [IMPLY] tired [PERIOD]
sincere [AND] smart [AND] selfish [IMPLY] vivacious [PERIOD]
vivacious [AND... | Proof chain:
Cannot apply rule “vivacious ∧ frail ⇒ plain” because missing: frail.
Cannot apply rule “frail ⇒ plain” because missing: frail.
| 0 | 2 |
Facts: Batman is ugly [PERIOD] Batman is tense [PERIOD] Batman is sleepy [PERIOD] Batman is intellectual [PERIOD] Batman is foolish [PERIOD] Batman is crowded [PERIOD]
Rules:
friendly [IMPLY] intellectual [PERIOD]
crowded [IMPLY] strange [PERIOD]
wide-eyed [AND] foolish [AND] unpleasant [IMPLY] tense [PERIOD]
strange ... | Proof chain:
sleepy ⇒ unpleasant
unpleasant ⇒ friendly
| 1 | 2 |
Facts: Batman is homely [PERIOD] Batman is wide-eyed [PERIOD] Batman is shy [PERIOD] Batman is talkative [PERIOD]
Rules:
fragile [AND] shy [AND] broad-minded [IMPLY] fancy [PERIOD]
homely [AND] tidy [IMPLY] weary [PERIOD]
bored [IMPLY] good [PERIOD]
broad-minded [AND] tidy [AND] fancy [IMPLY] smart [PERIOD]
plain [IMP... | Proof chain:
Cannot apply rule “broad-minded ∧ tidy ∧ fancy ⇒ smart” because missing: broad-minded, tidy, fancy.
Cannot apply rule “tense ⇒ smart” because missing: tense.
| 0 | 2 |
Facts:
Rules:
stubborn [AND] talkative [AND] witty [IMPLY] nervous [PERIOD]
fragile [AND] witty [IMPLY] talkative [PERIOD]
stubborn [AND] tame [IMPLY] witty [PERIOD]
fragile [AND] witty [AND] proud [IMPLY] tame [PERIOD]
stubborn [IMPLY] nervous [PERIOD]
proud [AND] talkative [IMPLY] stubborn [PERIOD]
tame [IMPLY] witt... | Proof chain:
Cannot apply rule “fragile ∧ witty ∧ proud ⇒ tame” because missing: fragile, witty, proud.
Cannot apply rule “nervous ∧ proud ∧ fragile ⇒ tame” because missing: nervous, proud, fragile.
| 0 | 2 |
Facts: Batman is smart [PERIOD] Batman is elated [PERIOD] Batman is unpleasant [PERIOD] Batman is outrageous [PERIOD] Batman is diplomatic [PERIOD] Batman is supportive [PERIOD] Batman is gifted [PERIOD]
Rules:
thoughtless [IMPLY] supportive [PERIOD]
elated [IMPLY] tense [PERIOD]
lucky [IMPLY] reserved [PERIOD]
cooper... | Proof chain:
elated ⇒ tense
Cannot apply rule “beautiful ∧ tense ⇒ charming” because missing: beautiful.
| 0 | 2 |
Facts: Batman is sensible [PERIOD] Batman is agreeable [PERIOD]
Rules:
hurt [AND] loving [AND] modern [IMPLY] sensible [PERIOD]
modern [IMPLY] helpful [PERIOD]
unpleasant [IMPLY] stubborn [PERIOD]
agreeable [IMPLY] modern [PERIOD]
helpless [IMPLY] stubborn [PERIOD]
stubborn [AND] helpful [AND] average [IMPLY] hurt [PE... | Proof chain:
agreeable ⇒ modern
modern ∧ sensible ⇒ helpless
| 1 | 2 |
Facts: Batman is thoughtless [PERIOD] Batman is wrong [PERIOD] Batman is intellectual [PERIOD] Batman is hilarious [PERIOD] Batman is adorable [PERIOD] Batman is troubled [PERIOD] Batman is broad-minded [PERIOD]
Rules:
hilarious [IMPLY] strange [PERIOD]
famous [IMPLY] exuberant [PERIOD]
wrong [IMPLY] strange [PERIOD]
... | Proof chain:
broad-minded ⇒ pessimistic
pessimistic ⇒ famous
| 1 | 2 |
Facts: Batman is anxious [PERIOD] Batman is witty [PERIOD] Batman is easy [PERIOD] Batman is unpleasant [PERIOD] Batman is modern [PERIOD] Batman is victorious [PERIOD] Batman is gorgeous [PERIOD] Batman is shy [PERIOD] Batman is lonely [PERIOD] Batman is silly [PERIOD] Batman is confused [PERIOD]
Rules:
attractive [I... | Proof chain:
anxious ⇒ bright
victorious ∧ bright ⇒ careless
| 1 | 2 |
Facts: Batman is fancy [PERIOD] Batman is disobedient [PERIOD] Batman is careless [PERIOD] Batman is reserved [PERIOD] Batman is pessimistic [PERIOD] Batman is diplomatic [PERIOD] Batman is gorgeous [PERIOD] Batman is quaint [PERIOD]
Rules:
disobedient [IMPLY] mean [PERIOD]
thoughtful [IMPLY] wrong [PERIOD]
enchanting... | Proof chain:
disobedient ⇒ mean
mean ⇒ weary
| 1 | 2 |
Facts: Batman is pessimistic [PERIOD] Batman is spotless [PERIOD] Batman is bad-tempered [PERIOD] Batman is sleepy [PERIOD] Batman is zealous [PERIOD] Batman is careless [PERIOD] Batman is cruel [PERIOD] Batman is weary [PERIOD]
Rules:
pessimistic [IMPLY] fearless [PERIOD]
excited [AND] tame [IMPLY] bad-tempered [PERI... | Proof chain:
pessimistic ⇒ thoughtless
thoughtless ⇒ proud
| 1 | 2 |
Facts: Batman is impatient [PERIOD] Batman is thoughtful [PERIOD] Batman is cruel [PERIOD]
Rules:
frantic [IMPLY] confident [PERIOD]
cruel [IMPLY] adorable [PERIOD]
excited [AND] troubled [IMPLY] selfish [PERIOD]
curious [IMPLY] adorable [PERIOD]
confused [AND] anxious [AND] rational [IMPLY] confident [PERIOD]
frantic... | Proof chain:
Cannot apply rule “mean ∧ frantic ∧ troubled ⇒ impartial” because missing: mean, frantic, troubled.
Cannot apply rule “rational ⇒ impartial” because missing: rational.
| 0 | 2 |
Facts: Batman is messy [PERIOD] Batman is friendly [PERIOD] Batman is proud [PERIOD] Batman is hurt [PERIOD] Batman is mean [PERIOD] Batman is cute [PERIOD] Batman is careless [PERIOD] Batman is combative [PERIOD] Batman is talkative [PERIOD] Batman is frantic [PERIOD] Batman is mysterious [PERIOD] Batman is loving [P... | Proof chain:
cute ⇒ lonely
lonely ∧ proud ∧ fine ⇒ dull
| 1 | 2 |
Facts: Batman is bored [PERIOD] Batman is popular [PERIOD] Batman is dull [PERIOD] Batman is uptight [PERIOD]
Rules:
bored [IMPLY] busy [PERIOD]
thoughtful [AND] curious [AND] bored [IMPLY] proud [PERIOD]
curious [AND] witty [IMPLY] popular [PERIOD]
popular [AND] wrong [AND] cooperative [IMPLY] thoughtful [PERIOD]
pop... | Proof chain:
dull ⇒ innocent
Cannot apply rule “innocent ∧ curious ⇒ calm” because missing: curious.
| 0 | 2 |
Facts: Batman is crowded [PERIOD] Batman is pleasant [PERIOD]
Rules:
fine [AND] condemned [AND] famous [IMPLY] clean [PERIOD]
witty [IMPLY] precious [PERIOD]
pleasant [AND] cooperative [AND] fine [IMPLY] clean [PERIOD]
fine [AND] pleasant [AND] precious [IMPLY] clean [PERIOD]
witty [IMPLY] pleasant [PERIOD]
clean [AND... | Proof chain:
Cannot apply rule “clean ∧ precious ∧ pleasant ⇒ busy” because missing: clean, precious.
Cannot apply rule “lucky ⇒ busy” because missing: lucky.
| 0 | 2 |
Facts: Batman is witty [PERIOD] Batman is bored [PERIOD] Batman is tense [PERIOD]
Rules:
different [AND] thoughtless [AND] loving [IMPLY] ugly [PERIOD]
strange [AND] stormy [IMPLY] confident [PERIOD]
modern [AND] amused [AND] jittery [IMPLY] innocent [PERIOD]
tense [IMPLY] strange [PERIOD]
confident [AND] ugly [IMPLY]... | Proof chain:
Cannot apply rule “different ∧ ugly ∧ horrible ⇒ outstanding” because missing: different, ugly, horrible.
Cannot apply rule “different ∧ innocent ∧ tense ⇒ outstanding” because missing: different, innocent.
| 0 | 2 |
Facts: Batman is curious [PERIOD] Batman is zealous [PERIOD] Batman is mysterious [PERIOD] Batman is attractive [PERIOD]
Rules:
tidy [AND] clean [IMPLY] joyous [PERIOD]
zealous [IMPLY] tidy [PERIOD]
sincere [IMPLY] frantic [PERIOD]
diplomatic [AND] talented [IMPLY] frantic [PERIOD]
tidy [AND] cute [AND] zealous [IMPLY... | Proof chain:
zealous ⇒ tidy
Cannot apply rule “tidy ∧ cute ∧ zealous ⇒ strange” because missing: cute.
| 0 | 2 |
Facts: Batman is modern [PERIOD] Batman is hurt [PERIOD]
Rules:
impartial [AND] modern [AND] hurt [IMPLY] perfect [PERIOD]
sensible [IMPLY] adorable [PERIOD]
frantic [IMPLY] impartial [PERIOD]
modern [IMPLY] adorable [PERIOD]
easy [AND] long [AND] frantic [IMPLY] impartial [PERIOD]
perfect [IMPLY] sensible [PERIOD]
hu... | Proof chain:
Cannot apply rule “frantic ∧ perfect ⇒ careless” because missing: frantic, perfect.
Cannot apply rule “different ∧ frantic ⇒ careless” because missing: different, frantic.
| 0 | 2 |
Facts:
Rules:
confused [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] bad-tempered [PERIOD]
bad-tempered [AND] diplomatic [AND] stubborn [IMPLY] confused [PERIOD]
bad-tempered [IMPLY] ambitious [PERIOD]
stubborn [IMPLY] ambitious [PERIOD]
confused [IMPLY] diplomatic [PERIOD]
confused [AND] stubborn [IMPLY] diplomatic [PER... | Proof chain:
Cannot apply rule “confused ⇒ diplomatic” because missing: confused.
Cannot apply rule “confused ∧ stubborn ⇒ diplomatic” because missing: confused, stubborn.
| 0 | 2 |
Facts: Batman is vivacious [PERIOD] Batman is helpless [PERIOD] Batman is helpful [PERIOD] Batman is hurt [PERIOD] Batman is enchanting [PERIOD]
Rules:
agreeable [AND] helpful [AND] vivacious [IMPLY] friendly [PERIOD]
helpless [IMPLY] enchanting [PERIOD]
friendly [IMPLY] shiny [PERIOD]
agreeable [AND] helpless [AND] h... | Proof chain:
helpful ⇒ friendly
friendly ⇒ shiny
| 1 | 2 |
Facts: Batman is elated [PERIOD] Batman is tender [PERIOD]
Rules:
loving [AND] messy [AND] joyous [IMPLY] weary [PERIOD]
witty [IMPLY] loving [PERIOD]
horrible [AND] talented [AND] perfect [IMPLY] tense [PERIOD]
exuberant [AND] nervous [IMPLY] aggressive [PERIOD]
horrible [AND] distinct [IMPLY] different [PERIOD]
boss... | Proof chain:
Cannot apply rule “horrible ∧ distinct ⇒ different” because missing: horrible, distinct.
Cannot apply rule “messy ∧ perfect ∧ tender ⇒ different” because missing: messy, perfect.
| 0 | 2 |
Facts: Batman is modern [PERIOD] Batman is old-fashioned [PERIOD] Batman is bright [PERIOD] Batman is bossy [PERIOD]
Rules:
average [AND] serious [AND] old-fashioned [IMPLY] bright [PERIOD]
anxious [IMPLY] strange [PERIOD]
dishonest [IMPLY] old-fashioned [PERIOD]
bossy [AND] average [IMPLY] strange [PERIOD]
old-fashio... | Proof chain:
old-fashioned ∧ bright ∧ modern ⇒ average
average ⇒ ugly
| 1 | 2 |
Facts: Batman is helpful [PERIOD] Batman is gifted [PERIOD] Batman is beautiful [PERIOD] Batman is bright [PERIOD] Batman is busy [PERIOD] Batman is fragile [PERIOD] Batman is hypocritical [PERIOD] Batman is bossy [PERIOD] Batman is long [PERIOD] Batman is unpleasant [PERIOD] Batman is scared [PERIOD] Batman is innoce... | Proof chain:
beautiful ∧ unpleasant ⇒ smart
smart ⇒ serious
| 1 | 2 |
Facts: Batman is scared [PERIOD] Batman is impatient [PERIOD] Batman is fine [PERIOD] Batman is diplomatic [PERIOD]
Rules:
sensible [AND] impatient [IMPLY] grumpy [PERIOD]
rude [AND] hilarious [IMPLY] comfortable [PERIOD]
aggressive [AND] comfortable [AND] scared [IMPLY] grumpy [PERIOD]
uptight [AND] fine [AND] sensib... | Proof chain:
impatient ⇒ adorable
adorable ⇒ courageous
| 1 | 2 |
Facts: Batman is fancy [PERIOD] Batman is light [PERIOD] Batman is vivacious [PERIOD]
Rules:
frail [AND] aggressive [IMPLY] powerful [PERIOD]
light [AND] aggressive [IMPLY] messy [PERIOD]
powerful [IMPLY] confused [PERIOD]
attractive [AND] busy [IMPLY] vivacious [PERIOD]
fancy [AND] busy [IMPLY] powerful [PERIOD]
attr... | Proof chain:
Cannot apply rule “powerful ⇒ confused” because missing: powerful.
Cannot apply rule “attractive ⇒ confused” because missing: attractive.
| 0 | 2 |
Facts:
Rules:
zealous [AND] talkative [IMPLY] hilarious [PERIOD]
hilarious [IMPLY] talkative [PERIOD]
talkative [AND] victorious [IMPLY] elated [PERIOD]
curious [AND] victorious [IMPLY] zealous [PERIOD]
curious [AND] elated [AND] hilarious [IMPLY] talkative [PERIOD]
victorious [IMPLY] hilarious [PERIOD]
curious [IMPLY... | Proof chain:
Cannot apply rule “zealous ∧ talkative ⇒ hilarious” because missing: zealous, talkative.
Cannot apply rule “victorious ⇒ hilarious” because missing: victorious.
| 0 | 2 |
Facts: Batman is courageous [PERIOD] Batman is gorgeous [PERIOD] Batman is confident [PERIOD] Batman is precious [PERIOD] Batman is exuberant [PERIOD] Batman is selfish [PERIOD]
Rules:
confident [IMPLY] clumsy [PERIOD]
lucky [AND] foolish [AND] embarrassed [IMPLY] loving [PERIOD]
embarrassed [AND] loving [IMPLY] strai... | Proof chain:
exuberant ⇒ embarrassed
exuberant ∧ embarrassed ⇒ messy
| 1 | 2 |
Facts: Batman is inexpensive [PERIOD] Batman is proud [PERIOD] Batman is witty [PERIOD]
Rules:
proud [AND] tense [IMPLY] sincere [PERIOD]
sleepy [AND] frail [AND] inexpensive [IMPLY] exuberant [PERIOD]
exuberant [AND] cooperative [AND] proud [IMPLY] tame [PERIOD]
tame [IMPLY] old-fashioned [PERIOD]
mysterious [IMPLY] ... | Proof chain:
Cannot apply rule “proud ∧ tense ⇒ sincere” because missing: tense.
Cannot apply rule “quaint ∧ frail ∧ witty ⇒ sincere” because missing: quaint, frail.
| 0 | 2 |
Facts:
Rules:
inexpensive [AND] elegant [AND] enchanting [IMPLY] victorious [PERIOD]
courageous [IMPLY] inexpensive [PERIOD]
victorious [AND] cooperative [IMPLY] enchanting [PERIOD]
elegant [AND] victorious [IMPLY] glamorous [PERIOD]
cooperative [IMPLY] hilarious [PERIOD]
proud [IMPLY] sensible [PERIOD]
enchanting [AN... | Proof chain:
Cannot apply rule “inexpensive ⇒ smart” because missing: inexpensive.
Cannot apply rule “proud ∧ hilarious ⇒ smart” because missing: proud, hilarious.
| 0 | 2 |
Facts: Batman is old-fashioned [PERIOD]
Rules:
inexpensive [IMPLY] impartial [PERIOD]
proud [IMPLY] old-fashioned [PERIOD]
inexpensive [IMPLY] old-fashioned [PERIOD]
fearless [AND] mysterious [AND] famous [IMPLY] old-fashioned [PERIOD]
fearless [IMPLY] cruel [PERIOD]
impartial [AND] cruel [AND] fearless [IMPLY] nervou... | Proof chain:
old-fashioned ⇒ inexpensive
inexpensive ⇒ impartial
| 1 | 2 |
Facts: Batman is wandering [PERIOD]
Rules:
gorgeous [AND] mean [AND] wandering [IMPLY] frail [PERIOD]
muddy [AND] frail [AND] curious [IMPLY] reserved [PERIOD]
reserved [AND] wandering [AND] frail [IMPLY] mean [PERIOD]
wandering [AND] frail [AND] gorgeous [IMPLY] reserved [PERIOD]
wandering [AND] frail [IMPLY] muddy [... | Proof chain:
Cannot apply rule “muddy ∧ frail ∧ curious ⇒ reserved” because missing: muddy, frail, curious.
Cannot apply rule “wandering ∧ frail ∧ gorgeous ⇒ reserved” because missing: frail, gorgeous.
| 0 | 2 |
Facts: Batman is friendly [PERIOD] Batman is stormy [PERIOD] Batman is bossy [PERIOD] Batman is sensible [PERIOD] Batman is victorious [PERIOD]
Rules:
adorable [AND] enchanting [AND] broad-minded [IMPLY] confident [PERIOD]
lonely [IMPLY] gorgeous [PERIOD]
gorgeous [AND] enchanting [IMPLY] sensible [PERIOD]
friendly [A... | Proof chain:
victorious ⇒ crowded
crowded ∧ sensible ⇒ sincere
| 1 | 2 |
Facts: Batman is helpless [PERIOD]
Rules:
tame [AND] tense [AND] adorable [IMPLY] talkative [PERIOD]
long [AND] glamorous [AND] disgusted [IMPLY] adorable [PERIOD]
good [AND] helpless [IMPLY] impatient [PERIOD]
disgusted [AND] long [IMPLY] ugliest [PERIOD]
long [AND] confident [AND] impatient [IMPLY] good [PERIOD]
ado... | Proof chain:
helpless ⇒ glamorous
glamorous ⇒ tense
| 1 | 2 |
Facts: Batman is different [PERIOD] Batman is silly [PERIOD]
Rules:
wrong [AND] helpful [IMPLY] diplomatic [PERIOD]
perfect [IMPLY] talented [PERIOD]
strange [AND] diplomatic [AND] perfect [IMPLY] different [PERIOD]
hurt [AND] confused [AND] victorious [IMPLY] excited [PERIOD]
gifted [AND] careless [IMPLY] bored [PERI... | Proof chain:
silly ⇒ excited
excited ⇒ worried
| 1 | 2 |
Facts: Batman is different [PERIOD] Batman is busy [PERIOD] Batman is anxious [PERIOD] Batman is easy [PERIOD] Batman is impartial [PERIOD] Batman is distinct [PERIOD]
Rules:
excited [AND] talented [IMPLY] vivacious [PERIOD]
anxious [AND] vivacious [AND] distinct [IMPLY] dull [PERIOD]
rational [IMPLY] talented [PERIOD... | Proof chain:
easy ⇒ vivacious
vivacious ⇒ adorable
| 1 | 2 |
Facts:
Rules:
fragile [AND] witty [AND] confused [IMPLY] sleepy [PERIOD]
tense [AND] smart [IMPLY] combative [PERIOD]
powerful [IMPLY] proud [PERIOD]
witty [IMPLY] fragile [PERIOD]
smart [AND] confused [AND] fragile [IMPLY] elated [PERIOD]
spotless [AND] good [AND] hilarious [IMPLY] powerful [PERIOD]
versatile [IMPLY]... | Proof chain:
Cannot apply rule “spotless ∧ good ∧ hilarious ⇒ powerful” because missing: spotless, good, hilarious.
Cannot apply rule “elated ∧ proud ⇒ powerful” because missing: elated, proud.
| 0 | 2 |
Facts: Batman is tidy [PERIOD] Batman is wrong [PERIOD] Batman is old-fashioned [PERIOD] Batman is messy [PERIOD] Batman is clumsy [PERIOD] Batman is cooperative [PERIOD] Batman is disgusted [PERIOD] Batman is hypocritical [PERIOD]
Rules:
curious [IMPLY] wrong [PERIOD]
tidy [AND] strange [IMPLY] hurt [PERIOD]
differen... | Proof chain:
hypocritical ⇒ different
different ⇒ thoughtless
| 1 | 2 |
Facts:
Rules:
anxious [IMPLY] fancy [PERIOD]
inexpensive [IMPLY] broad-minded [PERIOD]
wrong [AND] long [IMPLY] bright [PERIOD]
grumpy [IMPLY] wrong [PERIOD]
long [AND] courageous [IMPLY] anxious [PERIOD]
ugly [IMPLY] fancy [PERIOD]
anxious [IMPLY] bright [PERIOD]
good [AND] crowded [IMPLY] foolish [PERIOD]
confident ... | Proof chain:
Cannot apply rule “wrong ∧ rude ∧ strange ⇒ difficult” because missing: wrong, rude, strange.
Cannot apply rule “distinct ∧ broad-minded ∧ elated ⇒ difficult” because missing: distinct, broad-minded, elated.
| 0 | 2 |
Facts: Batman is worrisome [PERIOD] Batman is outrageous [PERIOD] Batman is supportive [PERIOD] Batman is broad-minded [PERIOD] Batman is sensible [PERIOD] Batman is pessimistic [PERIOD] Batman is frightened [PERIOD] Batman is mysterious [PERIOD] Batman is witty [PERIOD] Batman is dull [PERIOD]
Rules:
mysterious [AND]... | Proof chain:
dull ⇒ condemned
condemned ⇒ comfortable
| 1 | 2 |
Facts: Batman is polite [PERIOD]
Rules:
victorious [AND] condemned [IMPLY] ugliest [PERIOD]
horrible [AND] polite [AND] victorious [IMPLY] helpful [PERIOD]
pessimistic [AND] tidy [AND] victorious [IMPLY] scared [PERIOD]
ugliest [AND] victorious [IMPLY] courageous [PERIOD]
scared [AND] helpful [AND] ugliest [IMPLY] con... | Proof chain:
Cannot apply rule “ugliest ∧ victorious ⇒ courageous” because missing: ugliest, victorious.
Cannot apply rule “helpful ⇒ courageous” because missing: helpful.
| 0 | 2 |
Facts:
Rules:
good [AND] joyous [AND] zealous [IMPLY] gifted [PERIOD]
good [AND] joyous [AND] gifted [IMPLY] bad-tempered [PERIOD]
amused [IMPLY] zealous [PERIOD]
amused [IMPLY] gifted [PERIOD]
amused [AND] naughty [IMPLY] gifted [PERIOD]
joyous [AND] good [IMPLY] bad-tempered [PERIOD]
good [AND] naughty [AND] victori... | Proof chain:
Cannot apply rule “good ∧ joyous ∧ gifted ⇒ bad-tempered” because missing: good, joyous, gifted.
Cannot apply rule “joyous ∧ good ⇒ bad-tempered” because missing: joyous, good.
| 0 | 2 |
Facts: Batman is talented [PERIOD] Batman is gleaming [PERIOD]
Rules:
talented [AND] pleasant [IMPLY] gleaming [PERIOD]
talented [AND] quaint [AND] gleaming [IMPLY] grumpy [PERIOD]
pleasant [AND] quaint [AND] grumpy [IMPLY] gleaming [PERIOD]
quaint [AND] disgusted [IMPLY] talented [PERIOD]
gleaming [IMPLY] grumpy [PER... | Proof chain:
gleaming ⇒ grumpy
grumpy ∧ talented ⇒ adorable
| 1 | 2 |
Facts: Batman is tame [PERIOD]
Rules:
mysterious [AND] sensible [IMPLY] calm [PERIOD]
fine [AND] mysterious [AND] proud [IMPLY] tame [PERIOD]
fine [AND] busy [IMPLY] calm [PERIOD]
fine [AND] sensible [IMPLY] quaint [PERIOD]
sensible [IMPLY] calm [PERIOD]
tame [IMPLY] calm [PERIOD]
busy [AND] tame [AND] quaint [IMPLY] ... | Proof chain:
tame ⇒ calm
calm ⇒ fine
| 1 | 2 |
Facts: Batman is outrageous [PERIOD] Batman is attractive [PERIOD] Batman is hilarious [PERIOD] Batman is intellectual [PERIOD] Batman is serious [PERIOD] Batman is sleepy [PERIOD] Batman is confident [PERIOD]
Rules:
serious [IMPLY] amused [PERIOD]
amused [AND] ugly [IMPLY] hilarious [PERIOD]
sleepy [IMPLY] intellectu... | Proof chain:
sleepy ⇒ ugly
ugly ⇒ worrisome
| 1 | 2 |
Facts:
Rules:
smart [AND] talkative [IMPLY] scared [PERIOD]
charming [IMPLY] ambitious [PERIOD]
muddy [AND] confident [AND] innocent [IMPLY] charming [PERIOD]
scared [IMPLY] fine [PERIOD]
charming [AND] innocent [IMPLY] talented [PERIOD]
innocent [AND] fine [AND] talkative [IMPLY] smart [PERIOD]
ambitious [AND] smart ... | Proof chain:
Cannot apply rule “muddy ∧ confident ∧ innocent ⇒ charming” because missing: muddy, confident, innocent.
Cannot apply rule “frantic ⇒ charming” because missing: frantic.
| 0 | 2 |
Facts: Batman is talkative [PERIOD]
Rules:
aggressive [AND] quaint [IMPLY] comfortable [PERIOD]
aggressive [IMPLY] talkative [PERIOD]
worried [IMPLY] quaint [PERIOD]
talkative [AND] comfortable [IMPLY] muddy [PERIOD]
precious [AND] comfortable [IMPLY] quaint [PERIOD]
quaint [AND] muddy [AND] comfortable [IMPLY] talkat... | Proof chain:
Cannot apply rule “worried ⇒ quaint” because missing: worried.
Cannot apply rule “precious ∧ comfortable ⇒ quaint” because missing: precious, comfortable.
| 0 | 2 |
Facts: Batman is unpleasant [PERIOD] Batman is proud [PERIOD] Batman is smart [PERIOD] Batman is crowded [PERIOD] Batman is horrible [PERIOD]
Rules:
nervous [IMPLY] disgusted [PERIOD]
proud [IMPLY] fancy [PERIOD]
horrible [AND] shy [IMPLY] crowded [PERIOD]
shiny [AND] proud [AND] horrible [IMPLY] disgusted [PERIOD]
ra... | Proof chain:
proud ⇒ fancy
proud ∧ fancy ⇒ wide-eyed
| 1 | 2 |
Facts: Batman is plain [PERIOD] Batman is aggressive [PERIOD] Batman is nervous [PERIOD]
Rules:
charming [IMPLY] attentive [PERIOD]
wandering [IMPLY] nervous [PERIOD]
comfortable [AND] aggressive [AND] straightforward [IMPLY] adorable [PERIOD]
charming [AND] adorable [AND] straightforward [IMPLY] wandering [PERIOD]
st... | Proof chain:
aggressive ∧ plain ⇒ charming
charming ⇒ attentive
| 1 | 2 |
Facts: Batman is amused [PERIOD] Batman is average [PERIOD]
Rules:
busy [AND] old-fashioned [IMPLY] tidy [PERIOD]
crowded [AND] ugliest [AND] tidy [IMPLY] light [PERIOD]
nervous [IMPLY] elegant [PERIOD]
amused [AND] tense [AND] helpless [IMPLY] different [PERIOD]
shiny [AND] old-fashioned [AND] different [IMPLY] crowd... | Proof chain:
Cannot apply rule “agreeable ∧ ugliest ∧ amused ⇒ helpless” because missing: agreeable, ugliest.
Cannot apply rule “busy ∧ pessimistic ∧ proud ⇒ helpless” because missing: busy, pessimistic, proud.
| 0 | 2 |
Facts:
Rules:
bad-tempered [AND] helpful [IMPLY] famous [PERIOD]
helpful [AND] bad-tempered [AND] difficult [IMPLY] scared [PERIOD]
difficult [AND] scared [AND] tender [IMPLY] calm [PERIOD]
calm [IMPLY] helpful [PERIOD]
difficult [AND] calm [IMPLY] famous [PERIOD]
Query: Batman is famous [PERIOD] | Proof chain:
Cannot apply rule “bad-tempered ∧ helpful ⇒ famous” because missing: bad-tempered, helpful.
Cannot apply rule “difficult ∧ calm ⇒ famous” because missing: difficult, calm.
| 0 | 2 |
Facts: Batman is silly [PERIOD] Batman is light [PERIOD] Batman is rational [PERIOD]
Rules:
silly [AND] light [IMPLY] easy [PERIOD]
rational [AND] silly [IMPLY] distinct [PERIOD]
silly [IMPLY] rational [PERIOD]
distinct [AND] light [AND] silly [IMPLY] easy [PERIOD]
easy [AND] rational [AND] light [IMPLY] silly [PERIOD... | Proof chain:
rational ⇒ easy
silly ∧ easy ⇒ cooperative
| 1 | 2 |
Facts: Batman is glamorous [PERIOD] Batman is weary [PERIOD] Batman is anxious [PERIOD] Batman is ugly [PERIOD]
Rules:
elated [AND] bossy [IMPLY] cute [PERIOD]
condemned [IMPLY] weary [PERIOD]
elated [AND] helpless [AND] cute [IMPLY] anxious [PERIOD]
glamorous [IMPLY] shy [PERIOD]
bossy [AND] sincere [IMPLY] condemned... | Proof chain:
anxious ⇒ helpless
ugly ∧ helpless ⇒ pessimistic
| 1 | 2 |
Facts:
Rules:
sensible [AND] polite [AND] ambitious [IMPLY] busy [PERIOD]
good [AND] busy [AND] old-fashioned [IMPLY] stubborn [PERIOD]
good [AND] versatile [AND] polite [IMPLY] courageous [PERIOD]
comfortable [AND] messy [IMPLY] curious [PERIOD]
curious [IMPLY] helpful [PERIOD]
confused [IMPLY] light [PERIOD]
bad-tem... | Proof chain:
Cannot apply rule “messy ∧ polite ∧ bad-tempered ⇒ good” because missing: messy, polite, bad-tempered.
Cannot apply rule “silly ∧ powerful ⇒ good” because missing: silly, powerful.
| 0 | 2 |
Facts: Batman is proud [PERIOD] Batman is outstanding [PERIOD] Batman is careless [PERIOD] Batman is fancy [PERIOD] Batman is frightened [PERIOD] Batman is clumsy [PERIOD] Batman is sleepy [PERIOD] Batman is hilarious [PERIOD] Batman is dishonest [PERIOD] Batman is unpleasant [PERIOD]
Rules:
careless [AND] fragile [AN... | Proof chain:
careless ⇒ ambitious
ambitious ∧ careless ⇒ scared
| 1 | 2 |
Facts: Batman is hypocritical [PERIOD]
Rules:
outstanding [IMPLY] hurt [PERIOD]
unpleasant [AND] calm [IMPLY] precious [PERIOD]
outstanding [AND] worried [IMPLY] excited [PERIOD]
hypocritical [AND] precious [AND] outstanding [IMPLY] powerful [PERIOD]
worried [AND] impatient [IMPLY] excited [PERIOD]
powerful [AND] outs... | Proof chain:
Cannot apply rule “excited ∧ worried ⇒ outstanding” because missing: excited, worried.
Cannot apply rule “precious ∧ unpleasant ∧ calm ⇒ outstanding” because missing: precious, unpleasant, calm.
| 0 | 2 |
Facts: Batman is talkative [PERIOD] Batman is crowded [PERIOD]
Rules:
crowded [AND] talented [IMPLY] elated [PERIOD]
silly [AND] elated [AND] talkative [IMPLY] different [PERIOD]
talented [AND] scared [IMPLY] crowded [PERIOD]
different [IMPLY] silly [PERIOD]
difficult [AND] elated [IMPLY] different [PERIOD]
scared [IM... | Proof chain:
Cannot apply rule “difficult ⇒ talented” because missing: difficult.
Cannot apply rule “gifted ⇒ talented” because missing: gifted.
| 0 | 2 |
Facts: Batman is frightened [PERIOD]
Rules:
foolish [IMPLY] long [PERIOD]
helpless [IMPLY] broad-minded [PERIOD]
famous [AND] worrisome [AND] scared [IMPLY] sincere [PERIOD]
foolish [IMPLY] elated [PERIOD]
tense [AND] mean [AND] vivacious [IMPLY] hilarious [PERIOD]
fearless [AND] sincere [AND] scared [IMPLY] serious [... | Proof chain:
Cannot apply rule “foolish ⇒ unpleasant” because missing: foolish.
Cannot apply rule “fearless ∧ smart ⇒ unpleasant” because missing: fearless, smart.
| 0 | 2 |
Facts: Batman is difficult [PERIOD] Batman is horrible [PERIOD] Batman is cooperative [PERIOD] Batman is different [PERIOD] Batman is thoughtful [PERIOD]
Rules:
difficult [IMPLY] supportive [PERIOD]
condemned [IMPLY] joyous [PERIOD]
outrageous [AND] stubborn [IMPLY] foolish [PERIOD]
difficult [IMPLY] proud [PERIOD]
di... | Proof chain:
difficult ⇒ supportive
supportive ⇒ adorable
| 1 | 2 |
Facts: Batman is thoughtless [PERIOD] Batman is versatile [PERIOD] Batman is tense [PERIOD] Batman is selfish [PERIOD] Batman is dull [PERIOD] Batman is stubborn [PERIOD] Batman is dishonest [PERIOD] Batman is curious [PERIOD] Batman is victorious [PERIOD] Batman is impatient [PERIOD] Batman is rational [PERIOD] Batma... | Proof chain:
Cannot apply rule “frightened ⇒ intellectual” because missing: frightened.
Cannot apply rule “selfish ∧ talented ⇒ intellectual” because missing: talented.
| 0 | 2 |
Facts: Batman is modern [PERIOD] Batman is crowded [PERIOD] Batman is silly [PERIOD] Batman is old-fashioned [PERIOD] Batman is hypocritical [PERIOD]
Rules:
different [AND] rational [AND] stormy [IMPLY] pleasant [PERIOD]
reserved [AND] vivacious [AND] good [IMPLY] pleasant [PERIOD]
hilarious [IMPLY] reserved [PERIOD]
... | Proof chain:
hypocritical ⇒ rational
rational ⇒ helpful
| 1 | 2 |
Facts: Batman is outstanding [PERIOD]
Rules:
outstanding [AND] pessimistic [AND] easy [IMPLY] quaint [PERIOD]
muddy [IMPLY] inexpensive [PERIOD]
pessimistic [AND] muddy [IMPLY] inexpensive [PERIOD]
outstanding [AND] muddy [AND] inexpensive [IMPLY] quaint [PERIOD]
outstanding [AND] quaint [AND] inexpensive [IMPLY] easy... | Proof chain:
outstanding ⇒ easy
easy ∧ outstanding ⇒ muddy
| 1 | 2 |
Facts: Batman is messy [PERIOD] Batman is lucky [PERIOD] Batman is confident [PERIOD] Batman is bad-tempered [PERIOD] Batman is inexpensive [PERIOD]
Rules:
talkative [AND] inexpensive [AND] fancy [IMPLY] fragile [PERIOD]
inexpensive [AND] confident [IMPLY] shiny [PERIOD]
inexpensive [AND] talkative [IMPLY] confident [... | Proof chain:
bad-tempered ∧ lucky ∧ messy ⇒ foolish
foolish ⇒ intellectual
| 1 | 2 |
Facts: Batman is helpful [PERIOD] Batman is cruel [PERIOD]
Rules:
confident [AND] uptight [IMPLY] frantic [PERIOD]
uptight [IMPLY] courageous [PERIOD]
cruel [AND] courageous [AND] gleaming [IMPLY] uptight [PERIOD]
gleaming [AND] helpful [IMPLY] uptight [PERIOD]
gleaming [IMPLY] cruel [PERIOD]
confident [AND] courageou... | Proof chain:
Cannot apply rule “confident ∧ uptight ⇒ frantic” because missing: confident, uptight.
Cannot apply rule “confident ⇒ frantic” because missing: confident.
| 0 | 2 |
Facts: Batman is homely [PERIOD] Batman is shy [PERIOD]
Rules:
charming [AND] ambitious [IMPLY] old-fashioned [PERIOD]
elated [IMPLY] bored [PERIOD]
confident [IMPLY] disgusted [PERIOD]
old-fashioned [AND] elated [AND] confident [IMPLY] distinct [PERIOD]
anxious [IMPLY] ambitious [PERIOD]
condemned [AND] fearless [AND... | Proof chain:
Cannot apply rule “charming ∧ ambitious ⇒ old-fashioned” because missing: charming, ambitious.
Cannot apply rule “distinct ∧ anxious ∧ worrisome ⇒ old-fashioned” because missing: distinct, anxious, worrisome.
| 0 | 2 |
Facts:
Rules:
tense [IMPLY] adorable [PERIOD]
agreeable [AND] stubborn [AND] combative [IMPLY] adorable [PERIOD]
tense [IMPLY] foolish [PERIOD]
curious [IMPLY] frantic [PERIOD]
curious [IMPLY] muddy [PERIOD]
muddy [IMPLY] frantic [PERIOD]
foolish [AND] agreeable [AND] frantic [IMPLY] tense [PERIOD]
curious [AND] tense... | Proof chain:
Cannot apply rule “curious ⇒ frantic” because missing: curious.
Cannot apply rule “muddy ⇒ frantic” because missing: muddy.
| 0 | 2 |
Facts: Batman is wrong [PERIOD] Batman is alert [PERIOD] Batman is disobedient [PERIOD] Batman is innocent [PERIOD] Batman is embarrassed [PERIOD] Batman is tidy [PERIOD] Batman is busy [PERIOD] Batman is agreeable [PERIOD] Batman is cute [PERIOD] Batman is clean [PERIOD]
Rules:
fine [AND] modern [IMPLY] shiny [PERIOD... | Proof chain:
alert ⇒ modern
embarrassed ∧ busy ∧ modern ⇒ tense
| 1 | 2 |
Facts:
Rules:
homely [AND] sensible [IMPLY] witty [PERIOD]
weary [AND] bad-tempered [IMPLY] unpleasant [PERIOD]
blushing [IMPLY] gorgeous [PERIOD]
sensible [IMPLY] charming [PERIOD]
bad-tempered [IMPLY] messy [PERIOD]
stubborn [IMPLY] enchanting [PERIOD]
charming [IMPLY] stubborn [PERIOD]
precious [IMPLY] helpful [PER... | Proof chain:
Cannot apply rule “stubborn ⇒ enchanting” because missing: stubborn.
Cannot apply rule “average ∧ precious ⇒ enchanting” because missing: average, precious.
| 0 | 2 |
Facts: Batman is pessimistic [PERIOD] Batman is sincere [PERIOD]
Rules:
calm [AND] pessimistic [IMPLY] sleepy [PERIOD]
outrageous [IMPLY] polite [PERIOD]
sensible [IMPLY] proud [PERIOD]
sensible [AND] jittery [AND] proud [IMPLY] calm [PERIOD]
sleepy [AND] outrageous [AND] combative [IMPLY] horrible [PERIOD]
outrageous... | Proof chain:
sincere ⇒ calm
calm ∧ pessimistic ⇒ sleepy
| 1 | 2 |
Facts: Batman is scared [PERIOD] Batman is outrageous [PERIOD] Batman is homely [PERIOD] Batman is good [PERIOD] Batman is different [PERIOD] Batman is innocent [PERIOD]
Rules:
good [AND] different [AND] precious [IMPLY] spotless [PERIOD]
good [AND] spotless [IMPLY] outrageous [PERIOD]
scared [AND] homely [AND] differ... | Proof chain:
outrageous ∧ homely ⇒ spotless
spotless ∧ different ⇒ vivacious
| 1 | 2 |
Facts: Batman is intellectual [PERIOD] Batman is frail [PERIOD] Batman is average [PERIOD] Batman is friendly [PERIOD] Batman is hypocritical [PERIOD] Batman is lucky [PERIOD] Batman is mysterious [PERIOD] Batman is tired [PERIOD] Batman is thoughtless [PERIOD] Batman is talented [PERIOD] Batman is loving [PERIOD] Bat... | Proof chain:
friendly ⇒ fancy
thoughtless ∧ fancy ⇒ perfect
| 1 | 2 |
Facts: Batman is long [PERIOD] Batman is talented [PERIOD] Batman is beautiful [PERIOD] Batman is thoughtful [PERIOD]
Rules:
talented [AND] pessimistic [IMPLY] long [PERIOD]
thoughtful [IMPLY] exuberant [PERIOD]
talented [IMPLY] long [PERIOD]
beautiful [AND] thoughtful [IMPLY] long [PERIOD]
beautiful [IMPLY] long [PER... | Proof chain:
thoughtful ⇒ exuberant
long ∧ exuberant ∧ talented ⇒ clumsy
| 1 | 2 |
Facts: Batman is rational [PERIOD] Batman is pessimistic [PERIOD] Batman is adorable [PERIOD]
Rules:
outstanding [AND] busy [AND] weary [IMPLY] rational [PERIOD]
famous [AND] fearless [IMPLY] fragile [PERIOD]
thoughtless [AND] rational [IMPLY] spotless [PERIOD]
distinct [AND] fearless [IMPLY] agreeable [PERIOD]
though... | Proof chain:
Cannot apply rule “attractive ∧ agreeable ∧ weary ⇒ outstanding” because missing: attractive, agreeable, weary.
Cannot apply rule “joyous ∧ thoughtless ⇒ outstanding” because missing: joyous, thoughtless.
| 0 | 2 |
Facts: Batman is inquisitive [PERIOD] Batman is frail [PERIOD] Batman is witty [PERIOD]
Rules:
witty [IMPLY] gleaming [PERIOD]
attractive [IMPLY] elegant [PERIOD]
frail [AND] witty [AND] elegant [IMPLY] attractive [PERIOD]
disobedient [IMPLY] witty [PERIOD]
wandering [AND] witty [IMPLY] gleaming [PERIOD]
disobedient [... | Proof chain:
frail ⇒ disobedient
disobedient ⇒ attractive
| 1 | 2 |
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