Question string | Complex_CoT string | Response int64 | Depth int64 |
|---|---|---|---|
Facts:
Rules:
talented [AND] victorious [IMPLY] worried [PERIOD]
popular [AND] beautiful [AND] loving [IMPLY] shiny [PERIOD]
clumsy [AND] gifted [AND] blushing [IMPLY] victorious [PERIOD]
loving [IMPLY] talented [PERIOD]
powerful [IMPLY] talented [PERIOD]
worried [IMPLY] fearless [PERIOD]
innocent [AND] loving [IMPLY]... | Proof chain:
Cannot apply rule “powerful ∧ shiny ∧ loving ⇒ beautiful” because missing: powerful, shiny, loving.
Cannot apply rule “fearless ⇒ beautiful” because missing: fearless.
Cannot apply rule “shiny ⇒ beautiful” because missing: shiny.
| 0 | 3 |
Facts: Batman is charming [PERIOD] Batman is condemned [PERIOD] Batman is shy [PERIOD] Batman is curious [PERIOD] Batman is clean [PERIOD] Batman is difficult [PERIOD] Batman is adorable [PERIOD]
Rules:
difficult [AND] curious [IMPLY] shy [PERIOD]
easy [AND] good [AND] clean [IMPLY] curious [PERIOD]
adorable [AND] dis... | Proof chain:
clean ∧ shy ⇒ good
good ∧ difficult ⇒ old-fashioned
old-fashioned ∧ charming ⇒ disgusted
| 1 | 3 |
Facts: Batman is precious [PERIOD] Batman is combative [PERIOD] Batman is inquisitive [PERIOD] Batman is reserved [PERIOD] Batman is frightened [PERIOD] Batman is strange [PERIOD] Batman is foolish [PERIOD] Batman is intellectual [PERIOD] Batman is cruel [PERIOD] Batman is difficult [PERIOD]
Rules:
combative [AND] int... | Proof chain:
frightened ∧ difficult ⇒ wide-eyed
wide-eyed ∧ cruel ⇒ proud
proud ∧ combative ⇒ embarrassed
| 1 | 3 |
Facts: Batman is charming [PERIOD] Batman is mean [PERIOD] Batman is beautiful [PERIOD]
Rules:
messy [AND] talkative [AND] beautiful [IMPLY] clean [PERIOD]
thoughtless [AND] beautiful [AND] messy [IMPLY] elegant [PERIOD]
talkative [AND] easy [IMPLY] gorgeous [PERIOD]
elegant [AND] easy [AND] clean [IMPLY] fearless [PE... | Proof chain:
Cannot apply rule “talkative ∧ easy ⇒ gorgeous” because missing: talkative, easy.
Cannot apply rule “talkative ∧ charming ∧ pessimistic ⇒ gorgeous” because missing: talkative, pessimistic.
Cannot apply rule “careless ∧ elegant ∧ clean ⇒ gorgeous” because missing: careless, elegant, clean.
| 0 | 3 |
Facts:
Rules:
worried [IMPLY] lonely [PERIOD]
lonely [IMPLY] tense [PERIOD]
foolish [IMPLY] lonely [PERIOD]
tense [AND] homely [IMPLY] worried [PERIOD]
homely [AND] foolish [IMPLY] tense [PERIOD]
foolish [IMPLY] homely [PERIOD]
tense [AND] foolish [IMPLY] worried [PERIOD]
homely [IMPLY] tense [PERIOD]
lonely [AND] hom... | Proof chain:
Cannot apply rule “lonely ⇒ tense” because missing: lonely.
Cannot apply rule “homely ∧ foolish ⇒ tense” because missing: homely, foolish.
Cannot apply rule “homely ⇒ tense” because missing: homely.
| 0 | 3 |
Facts: Batman is calm [PERIOD]
Rules:
joyous [AND] hypocritical [AND] calm [IMPLY] cute [PERIOD]
cute [IMPLY] supportive [PERIOD]
wide-eyed [AND] cute [AND] famous [IMPLY] joyous [PERIOD]
calm [AND] gorgeous [AND] joyous [IMPLY] cute [PERIOD]
supportive [AND] famous [AND] wide-eyed [IMPLY] gorgeous [PERIOD]
supportive... | Proof chain:
Cannot apply rule “wide-eyed ∧ cute ∧ famous ⇒ joyous” because missing: wide-eyed, cute, famous.
Cannot apply rule “famous ∧ supportive ⇒ joyous” because missing: famous, supportive.
Cannot apply rule “famous ⇒ joyous” because missing: famous.
| 0 | 3 |
Facts: Batman is good [PERIOD]
Rules:
adorable [IMPLY] wandering [PERIOD]
calm [IMPLY] tidy [PERIOD]
calm [AND] light [IMPLY] good [PERIOD]
tidy [AND] good [AND] calm [IMPLY] adorable [PERIOD]
good [AND] wandering [IMPLY] adorable [PERIOD]
adorable [AND] good [AND] light [IMPLY] calm [PERIOD]
wandering [AND] adorable ... | Proof chain:
Cannot apply rule “adorable ∧ good ∧ light ⇒ calm” because missing: adorable, light.
Cannot apply rule “tidy ∧ wandering ⇒ calm” because missing: tidy, wandering.
Cannot apply rule “wandering ∧ tidy ∧ light ⇒ calm” because missing: wandering, tidy, light.
| 0 | 3 |
Facts: Batman is amused [PERIOD] Batman is helpful [PERIOD] Batman is horrible [PERIOD]
Rules:
comfortable [AND] silly [IMPLY] popular [PERIOD]
shy [AND] supportive [IMPLY] horrible [PERIOD]
comfortable [AND] helpful [IMPLY] amused [PERIOD]
popular [AND] amused [IMPLY] shy [PERIOD]
popular [IMPLY] helpful [PERIOD]
hel... | Proof chain:
helpful ⇒ precious
amused ∧ precious ⇒ shy
shy ∧ helpful ⇒ popular
| 1 | 3 |
Facts: Batman is curious [PERIOD] Batman is messy [PERIOD] Batman is mysterious [PERIOD] Batman is loving [PERIOD]
Rules:
crowded [AND] nervous [IMPLY] rational [PERIOD]
homely [IMPLY] diplomatic [PERIOD]
curious [AND] tidy [AND] homely [IMPLY] loving [PERIOD]
tidy [AND] diplomatic [AND] shy [IMPLY] messy [PERIOD]
tid... | Proof chain:
curious ⇒ courageous
messy ⇒ nervous
courageous ∧ nervous ⇒ crowded
| 1 | 3 |
Facts:
Rules:
talkative [IMPLY] cruel [PERIOD]
inquisitive [AND] old-fashioned [AND] glamorous [IMPLY] perfect [PERIOD]
lucky [AND] cruel [AND] troubled [IMPLY] alert [PERIOD]
elegant [IMPLY] old-fashioned [PERIOD]
tender [AND] mean [IMPLY] inexpensive [PERIOD]
excited [IMPLY] inquisitive [PERIOD]
old-fashioned [AND] ... | Proof chain:
Cannot apply rule “elegant ⇒ old-fashioned” because missing: elegant.
Cannot apply rule “inquisitive ∧ cruel ⇒ old-fashioned” because missing: inquisitive, cruel.
Cannot apply rule “cruel ∧ easy ⇒ old-fashioned” because missing: cruel, easy.
| 0 | 3 |
Facts: Batman is cruel [PERIOD]
Rules:
curious [AND] modern [IMPLY] zealous [PERIOD]
perfect [AND] modern [IMPLY] cruel [PERIOD]
zealous [IMPLY] rude [PERIOD]
zealous [AND] perfect [IMPLY] cruel [PERIOD]
perfect [IMPLY] rude [PERIOD]
perfect [AND] rude [AND] zealous [IMPLY] hypocritical [PERIOD]
modern [IMPLY] cruel [... | Proof chain:
Cannot apply rule “perfect ∧ rude ∧ zealous ⇒ hypocritical” because missing: perfect, rude, zealous.
Cannot apply rule “curious ∧ perfect ⇒ hypocritical” because missing: curious, perfect.
Cannot apply rule “zealous ∧ cruel ⇒ hypocritical” because missing: zealous.
| 0 | 3 |
Facts:
Rules:
spotless [IMPLY] ugliest [PERIOD]
sincere [AND] spotless [AND] ugliest [IMPLY] dishonest [PERIOD]
dull [IMPLY] horrible [PERIOD]
curious [IMPLY] ugliest [PERIOD]
ugliest [AND] spotless [AND] dull [IMPLY] horrible [PERIOD]
horrible [AND] spotless [IMPLY] dull [PERIOD]
horrible [AND] ugliest [IMPLY] dishon... | Proof chain:
Cannot apply rule “sincere ∧ spotless ∧ ugliest ⇒ dishonest” because missing: sincere, spotless, ugliest.
Cannot apply rule “horrible ∧ ugliest ⇒ dishonest” because missing: horrible, ugliest.
Cannot apply rule “dull ∧ spotless ⇒ dishonest” because missing: dull, spotless.
| 0 | 3 |
Facts: Batman is cruel [PERIOD] Batman is talented [PERIOD] Batman is jittery [PERIOD] Batman is popular [PERIOD] Batman is outrageous [PERIOD] Batman is elated [PERIOD] Batman is aggressive [PERIOD]
Rules:
aggressive [AND] outrageous [AND] amused [IMPLY] reserved [PERIOD]
agreeable [IMPLY] glamorous [PERIOD]
glamorou... | Proof chain:
jittery ∧ elated ⇒ horrible
horrible ⇒ fearless
fearless ∧ jittery ⇒ tender
| 1 | 3 |
Facts: Batman is scared [PERIOD]
Rules:
thoughtful [AND] fearless [AND] unpleasant [IMPLY] famous [PERIOD]
vivacious [IMPLY] helpful [PERIOD]
shiny [AND] thoughtful [IMPLY] scared [PERIOD]
worrisome [IMPLY] fearless [PERIOD]
thoughtful [IMPLY] scared [PERIOD]
worrisome [AND] worried [IMPLY] famous [PERIOD]
jittery [IM... | Proof chain:
Cannot apply rule “unpleasant ⇒ tender” because missing: unpleasant.
Cannot apply rule “shiny ⇒ tender” because missing: shiny.
Cannot apply rule “unpleasant ∧ talented ∧ hypocritical ⇒ tender” because missing: unpleasant, talented, hypocritical.
| 0 | 3 |
Facts:
Rules:
comfortable [IMPLY] ambitious [PERIOD]
tame [AND] attentive [IMPLY] famous [PERIOD]
aggressive [AND] tidy [AND] strange [IMPLY] homely [PERIOD]
attentive [AND] strange [AND] famous [IMPLY] tidy [PERIOD]
attentive [AND] homely [IMPLY] strange [PERIOD]
ambitious [AND] strange [IMPLY] comfortable [PERIOD]
t... | Proof chain:
Cannot apply rule “aggressive ∧ tidy ∧ strange ⇒ homely” because missing: aggressive, tidy, strange.
Cannot apply rule “tame ∧ attentive ⇒ homely” because missing: tame, attentive.
Cannot apply rule “strange ∧ attentive ⇒ homely” because missing: strange, attentive.
| 0 | 3 |
Facts: Batman is inquisitive [PERIOD] Batman is light [PERIOD] Batman is tired [PERIOD] Batman is wide-eyed [PERIOD]
Rules:
charming [AND] courageous [IMPLY] talkative [PERIOD]
tame [AND] zealous [IMPLY] thoughtful [PERIOD]
unpleasant [IMPLY] courageous [PERIOD]
powerful [AND] unpleasant [AND] light [IMPLY] plain [PER... | Proof chain:
tired ⇒ zealous
zealous ∧ wide-eyed ⇒ courageous
courageous ⇒ quaint
| 1 | 3 |
Facts:
Rules:
stormy [IMPLY] exuberant [PERIOD]
reserved [AND] frightened [AND] adorable [IMPLY] anxious [PERIOD]
adorable [AND] exuberant [AND] reserved [IMPLY] supportive [PERIOD]
supportive [AND] exuberant [AND] adorable [IMPLY] frightened [PERIOD]
reserved [IMPLY] tender [PERIOD]
anxious [AND] frightened [IMPLY] r... | Proof chain:
Cannot apply rule “reserved ∧ frightened ∧ adorable ⇒ anxious” because missing: reserved, frightened, adorable.
Cannot apply rule “exuberant ∧ frightened ⇒ anxious” because missing: exuberant, frightened.
Cannot apply rule “tender ⇒ anxious” because missing: tender.
| 0 | 3 |
Facts:
Rules:
naughty [IMPLY] talkative [PERIOD]
precious [AND] rude [AND] attentive [IMPLY] powerful [PERIOD]
powerful [IMPLY] pleasant [PERIOD]
easy [AND] strange [IMPLY] wandering [PERIOD]
mysterious [AND] friendly [AND] powerful [IMPLY] curious [PERIOD]
tidy [IMPLY] cruel [PERIOD]
rude [AND] easy [AND] inexpensive... | Proof chain:
Cannot apply rule “curious ⇒ old-fashioned” because missing: curious.
Cannot apply rule “dull ∧ precious ∧ friendly ⇒ old-fashioned” because missing: dull, precious, friendly.
Cannot apply rule “frightened ∧ pleasant ⇒ old-fashioned” because missing: frightened, pleasant.
| 0 | 3 |
Facts: Batman is polite [PERIOD] Batman is famous [PERIOD] Batman is comfortable [PERIOD] Batman is talented [PERIOD] Batman is ugly [PERIOD] Batman is troubled [PERIOD] Batman is hurt [PERIOD] Batman is reserved [PERIOD] Batman is mean [PERIOD] Batman is quaint [PERIOD] Batman is witty [PERIOD] Batman is homely [PERI... | Proof chain:
silly ⇒ powerful
famous ∧ powerful ∧ homely ⇒ excited
witty ∧ excited ∧ silly ⇒ frantic
| 1 | 3 |
Facts:
Rules:
stormy [AND] disgusted [IMPLY] tame [PERIOD]
exuberant [IMPLY] disgusted [PERIOD]
calm [AND] disgusted [AND] tame [IMPLY] joyous [PERIOD]
helpful [IMPLY] clean [PERIOD]
helpful [AND] calm [IMPLY] joyous [PERIOD]
joyous [AND] helpful [IMPLY] tame [PERIOD]
friendly [AND] joyous [AND] stormy [IMPLY] disgust... | Proof chain:
Cannot apply rule “exuberant ⇒ disgusted” because missing: exuberant.
Cannot apply rule “friendly ∧ joyous ∧ stormy ⇒ disgusted” because missing: friendly, joyous, stormy.
Cannot apply rule “friendly ∧ stormy ∧ exuberant ⇒ disgusted” because missing: friendly, stormy, exuberant.
| 0 | 3 |
Facts:
Rules:
helpless [IMPLY] tense [PERIOD]
plain [IMPLY] tense [PERIOD]
smart [AND] precious [IMPLY] tense [PERIOD]
easy [AND] smart [AND] tense [IMPLY] precious [PERIOD]
precious [IMPLY] plain [PERIOD]
precious [AND] easy [IMPLY] smart [PERIOD]
smart [IMPLY] uptight [PERIOD]
helpful [IMPLY] precious [PERIOD]
helpf... | Proof chain:
Cannot apply rule “helpless ⇒ tense” because missing: helpless.
Cannot apply rule “plain ⇒ tense” because missing: plain.
Cannot apply rule “smart ∧ precious ⇒ tense” because missing: smart, precious.
| 0 | 3 |
Facts: Batman is helpful [PERIOD] Batman is horrible [PERIOD] Batman is exuberant [PERIOD] Batman is nervous [PERIOD] Batman is elated [PERIOD] Batman is tense [PERIOD]
Rules:
calm [AND] impartial [IMPLY] tense [PERIOD]
dull [AND] combative [IMPLY] gorgeous [PERIOD]
plain [IMPLY] shiny [PERIOD]
impartial [AND] difficu... | Proof chain:
helpful ⇒ good
exuberant ∧ helpful ⇒ bad-tempered
good ∧ bad-tempered ⇒ dull
| 1 | 3 |
Facts: Batman is smart [PERIOD]
Rules:
alert [AND] smart [IMPLY] powerful [PERIOD]
homely [AND] powerful [IMPLY] alert [PERIOD]
attractive [AND] beautiful [IMPLY] powerful [PERIOD]
beautiful [AND] alert [AND] attractive [IMPLY] quaint [PERIOD]
attractive [AND] powerful [AND] smart [IMPLY] beautiful [PERIOD]
quaint [AN... | Proof chain:
Cannot apply rule “alert ∧ smart ⇒ powerful” because missing: alert.
Cannot apply rule “attractive ∧ beautiful ⇒ powerful” because missing: attractive, beautiful.
Cannot apply rule “quaint ∧ alert ⇒ powerful” because missing: quaint, alert.
| 0 | 3 |
Facts: Batman is bad-tempered [PERIOD] Batman is strange [PERIOD] Batman is thoughtful [PERIOD] Batman is excited [PERIOD]
Rules:
strange [IMPLY] worried [PERIOD]
courageous [AND] diplomatic [IMPLY] excited [PERIOD]
excited [AND] worried [AND] courageous [IMPLY] gleaming [PERIOD]
powerful [AND] gleaming [IMPLY] helpfu... | Proof chain:
strange ⇒ worried
Cannot apply rule “muddy ∧ worried ⇒ comfortable” because missing: muddy.
Cannot apply rule “wrong ∧ excited ⇒ comfortable” because missing: wrong.
| 0 | 3 |
Facts: Batman is easy [PERIOD] Batman is silly [PERIOD] Batman is tame [PERIOD]
Rules:
easy [IMPLY] shiny [PERIOD]
calm [AND] ugly [IMPLY] shiny [PERIOD]
calm [AND] silly [IMPLY] shiny [PERIOD]
tame [AND] mean [IMPLY] calm [PERIOD]
ugly [AND] easy [AND] calm [IMPLY] powerful [PERIOD]
calm [AND] ugly [IMPLY] powerful [... | Proof chain:
easy ⇒ shiny
silly ∧ easy ⇒ ugly
shiny ∧ ugly ∧ tame ⇒ mean
| 1 | 3 |
Facts: Batman is bored [PERIOD] Batman is combative [PERIOD] Batman is witty [PERIOD] Batman is powerful [PERIOD] Batman is fragile [PERIOD] Batman is scared [PERIOD] Batman is tense [PERIOD] Batman is rude [PERIOD] Batman is silly [PERIOD]
Rules:
reserved [AND] thoughtless [AND] combative [IMPLY] hurt [PERIOD]
confid... | Proof chain:
Cannot apply rule “reserved ∧ thoughtless ∧ combative ⇒ hurt” because missing: reserved, thoughtless.
tense ∧ witty ⇒ frightened
Cannot apply rule “busy ∧ stubborn ∧ frightened ⇒ hurt” because missing: busy, stubborn.
| 0 | 3 |
Facts: Batman is nervous [PERIOD] Batman is cruel [PERIOD] Batman is pleasant [PERIOD] Batman is old-fashioned [PERIOD] Batman is charming [PERIOD] Batman is fearless [PERIOD] Batman is wrong [PERIOD] Batman is sensible [PERIOD] Batman is silly [PERIOD] Batman is difficult [PERIOD] Batman is clumsy [PERIOD]
Rules:
ple... | Proof chain:
difficult ⇒ frail
charming ⇒ popular
nervous ∧ frail ∧ popular ⇒ ugliest
| 1 | 3 |
Facts: Batman is anxious [PERIOD]
Rules:
outstanding [IMPLY] ugliest [PERIOD]
ugliest [AND] reserved [AND] anxious [IMPLY] straightforward [PERIOD]
anxious [AND] wide-eyed [IMPLY] outstanding [PERIOD]
ugliest [AND] reserved [AND] anxious [IMPLY] outstanding [PERIOD]
ugliest [AND] wide-eyed [IMPLY] anxious [PERIOD]
wid... | Proof chain:
Cannot apply rule “reserved ∧ ugliest ⇒ wide-eyed” because missing: reserved, ugliest.
Cannot apply rule “straightforward ∧ ugliest ∧ outstanding ⇒ wide-eyed” because missing: straightforward, ugliest, outstanding.
Cannot apply rule “reserved ⇒ wide-eyed” because missing: reserved.
| 0 | 3 |
Facts: Batman is shy [PERIOD] Batman is lonely [PERIOD] Batman is proud [PERIOD] Batman is foolish [PERIOD] Batman is loving [PERIOD] Batman is nervous [PERIOD]
Rules:
tidy [IMPLY] nervous [PERIOD]
pleasant [IMPLY] foolish [PERIOD]
fancy [IMPLY] proud [PERIOD]
crowded [AND] tidy [AND] foolish [IMPLY] nervous [PERIOD]
... | Proof chain:
lonely ⇒ tidy
tidy ⇒ bad-tempered
bad-tempered ∧ shy ⇒ crowded
| 1 | 3 |
Facts: Batman is modern [PERIOD] Batman is condemned [PERIOD]
Rules:
charming [AND] condemned [IMPLY] difficult [PERIOD]
attentive [IMPLY] lucky [PERIOD]
precious [AND] difficult [AND] lucky [IMPLY] loving [PERIOD]
modern [IMPLY] precious [PERIOD]
attentive [AND] strange [AND] hurt [IMPLY] tense [PERIOD]
condemned [AN... | Proof chain:
modern ⇒ precious
Cannot apply rule “precious ∧ difficult ∧ lucky ⇒ loving” because missing: difficult, lucky.
Cannot apply rule “attentive ∧ tense ∧ easy ⇒ loving” because missing: attentive, tense, easy.
| 0 | 3 |
Facts: Batman is amused [PERIOD] Batman is attractive [PERIOD] Batman is supportive [PERIOD] Batman is smart [PERIOD] Batman is joyous [PERIOD] Batman is beautiful [PERIOD]
Rules:
vivacious [AND] horrible [AND] rational [IMPLY] smart [PERIOD]
stubborn [IMPLY] confused [PERIOD]
vivacious [IMPLY] quaint [PERIOD]
rationa... | Proof chain:
smart ⇒ horrible
horrible ⇒ disobedient
disobedient ⇒ broad-minded
| 1 | 3 |
Facts:
Rules:
long [AND] lonely [AND] naughty [IMPLY] exuberant [PERIOD]
exuberant [AND] naughty [AND] amused [IMPLY] famous [PERIOD]
naughty [AND] lonely [AND] hypocritical [IMPLY] famous [PERIOD]
famous [AND] exuberant [AND] naughty [IMPLY] long [PERIOD]
lonely [IMPLY] long [PERIOD]
amused [IMPLY] hypocritical [PERI... | Proof chain:
Cannot apply rule “long ∧ lonely ∧ naughty ⇒ exuberant” because missing: long, lonely, naughty.
Cannot apply rule “hypocritical ∧ naughty ∧ famous ⇒ exuberant” because missing: hypocritical, naughty, famous.
Cannot apply rule “naughty ∧ long ∧ famous ⇒ exuberant” because missing: naughty, long, fa... | 0 | 3 |
Facts: Batman is disobedient [PERIOD] Batman is bright [PERIOD] Batman is rude [PERIOD]
Rules:
rational [AND] rude [IMPLY] disgusted [PERIOD]
rational [IMPLY] comfortable [PERIOD]
busy [AND] exuberant [AND] mysterious [IMPLY] disgusted [PERIOD]
tame [AND] disgusted [IMPLY] mysterious [PERIOD]
rude [AND] comfortable [I... | Proof chain:
disobedient ∧ bright ⇒ tame
tame ⇒ disgusted
disgusted ∧ disobedient ⇒ easy
| 1 | 3 |
Facts: Batman is gleaming [PERIOD] Batman is tense [PERIOD] Batman is perfect [PERIOD] Batman is innocent [PERIOD] Batman is elegant [PERIOD] Batman is friendly [PERIOD] Batman is amused [PERIOD] Batman is broad-minded [PERIOD] Batman is uptight [PERIOD] Batman is tidy [PERIOD] Batman is wide-eyed [PERIOD] Batman is f... | Proof chain:
friendly ∧ fine ∧ elegant ⇒ good
gleaming ⇒ hurt
good ∧ tidy ∧ hurt ⇒ horrible
| 1 | 3 |
Facts:
Rules:
pleasant [AND] bad-tempered [IMPLY] different [PERIOD]
hurt [IMPLY] tender [PERIOD]
pleasant [IMPLY] quaint [PERIOD]
pleasant [IMPLY] hurt [PERIOD]
popular [AND] lucky [AND] pleasant [IMPLY] stupid [PERIOD]
silly [IMPLY] popular [PERIOD]
aggressive [AND] lucky [AND] popular [IMPLY] different [PERIOD]
pop... | Proof chain:
Cannot apply rule “popular ∧ tender ⇒ aggressive” because missing: popular, tender.
Cannot apply rule “quaint ⇒ aggressive” because missing: quaint.
Cannot apply rule “bad-tempered ∧ condemned ⇒ aggressive” because missing: bad-tempered, condemned.
| 0 | 3 |
Facts: Batman is unpleasant [PERIOD] Batman is worried [PERIOD] Batman is famous [PERIOD] Batman is tidy [PERIOD] Batman is grumpy [PERIOD] Batman is anxious [PERIOD] Batman is long [PERIOD]
Rules:
intellectual [AND] tidy [AND] anxious [IMPLY] long [PERIOD]
messy [AND] wandering [IMPLY] worried [PERIOD]
versatile [IMP... | Proof chain:
famous ⇒ disgusted
disgusted ⇒ intellectual
intellectual ⇒ rational
| 1 | 3 |
Facts: Batman is stubborn [PERIOD] Batman is different [PERIOD]
Rules:
thoughtful [IMPLY] rude [PERIOD]
average [AND] different [AND] worrisome [IMPLY] outrageous [PERIOD]
fragile [AND] impatient [AND] bright [IMPLY] stubborn [PERIOD]
different [AND] thoughtless [IMPLY] bright [PERIOD]
rude [IMPLY] serious [PERIOD]
ag... | Proof chain:
different ⇒ fragile
Cannot apply rule “average ∧ fragile ∧ impatient ⇒ diplomatic” because missing: average, impatient.
Cannot apply rule “aggressive ∧ different ⇒ diplomatic” because missing: aggressive.
| 0 | 3 |
Facts: Batman is agreeable [PERIOD]
Rules:
helpless [AND] agreeable [AND] modern [IMPLY] naughty [PERIOD]
lonely [IMPLY] unpleasant [PERIOD]
modern [IMPLY] good [PERIOD]
naughty [AND] pessimistic [AND] loving [IMPLY] lonely [PERIOD]
unpleasant [AND] modern [AND] lonely [IMPLY] good [PERIOD]
helpless [AND] agreeable [A... | Proof chain:
Cannot apply rule “lonely ⇒ unpleasant” because missing: lonely.
Cannot apply rule “good ∧ helpless ⇒ unpleasant” because missing: good, helpless.
Cannot apply rule “modern ⇒ unpleasant” because missing: modern.
| 0 | 3 |
Facts: Batman is popular [PERIOD] Batman is good [PERIOD] Batman is adorable [PERIOD] Batman is curious [PERIOD] Batman is outstanding [PERIOD] Batman is disgusted [PERIOD]
Rules:
busy [IMPLY] tired [PERIOD]
talented [IMPLY] mysterious [PERIOD]
quaint [AND] anxious [IMPLY] good [PERIOD]
good [AND] alert [IMPLY] tired ... | Proof chain:
curious ⇒ hypocritical
hypocritical ⇒ busy
busy ⇒ tired
| 1 | 3 |
Facts:
Rules:
worried [AND] nervous [AND] frail [IMPLY] diplomatic [PERIOD]
outrageous [AND] thoughtless [IMPLY] tidy [PERIOD]
worried [IMPLY] tidy [PERIOD]
sensible [AND] silly [IMPLY] bored [PERIOD]
worried [AND] sensible [IMPLY] mean [PERIOD]
diplomatic [AND] supportive [IMPLY] broad-minded [PERIOD]
silly [AND] shy... | Proof chain:
Cannot apply rule “mean ∧ bored ∧ amused ⇒ supportive” because missing: mean, bored, amused.
Cannot apply rule “sensible ⇒ supportive” because missing: sensible.
Cannot apply rule “thoughtless ⇒ supportive” because missing: thoughtless.
| 0 | 3 |
Facts: Batman is frightened [PERIOD] Batman is elated [PERIOD] Batman is ugliest [PERIOD]
Rules:
elegant [IMPLY] beautiful [PERIOD]
frightened [AND] shiny [AND] hypocritical [IMPLY] elegant [PERIOD]
outrageous [IMPLY] elegant [PERIOD]
vivacious [AND] shiny [AND] elegant [IMPLY] ugliest [PERIOD]
talented [IMPLY] elegan... | Proof chain:
elated ⇒ mean
ugliest ∧ mean ⇒ distinct
distinct ∧ ugliest ⇒ vivacious
| 1 | 3 |
Facts: Batman is intellectual [PERIOD]
Rules:
easy [AND] sensible [IMPLY] tidy [PERIOD]
comfortable [IMPLY] intellectual [PERIOD]
diplomatic [AND] wrong [AND] easy [IMPLY] tidy [PERIOD]
tidy [AND] easy [AND] diplomatic [IMPLY] intellectual [PERIOD]
sensible [IMPLY] wrong [PERIOD]
diplomatic [IMPLY] sensible [PERIOD]
w... | Proof chain:
intellectual ⇒ easy
easy ⇒ tidy
tidy ⇒ comfortable
| 1 | 3 |
Facts: Batman is aggressive [PERIOD] Batman is comfortable [PERIOD] Batman is wandering [PERIOD]
Rules:
comfortable [AND] impartial [AND] fancy [IMPLY] foolish [PERIOD]
ambitious [AND] foolish [AND] fancy [IMPLY] comfortable [PERIOD]
fancy [AND] wandering [IMPLY] condemned [PERIOD]
wandering [AND] foolish [IMPLY] cond... | Proof chain:
comfortable ⇒ impartial
wandering ∧ comfortable ⇒ fancy
comfortable ∧ impartial ∧ fancy ⇒ foolish
| 1 | 3 |
Facts:
Rules:
alert [IMPLY] disobedient [PERIOD]
thoughtless [AND] disobedient [AND] alert [IMPLY] mysterious [PERIOD]
diplomatic [AND] courageous [IMPLY] disobedient [PERIOD]
disobedient [AND] ugly [AND] adorable [IMPLY] crowded [PERIOD]
hypocritical [AND] elated [AND] combative [IMPLY] cooperative [PERIOD]
courageou... | Proof chain:
Cannot apply rule “crowded ∧ courageous ⇒ stormy” because missing: crowded, courageous.
Cannot apply rule “excited ∧ disobedient ⇒ stormy” because missing: excited, disobedient.
Cannot apply rule “alert ⇒ stormy” because missing: alert.
| 0 | 3 |
Facts: Batman is perfect [PERIOD]
Rules:
busy [IMPLY] loving [PERIOD]
old-fashioned [AND] quaint [IMPLY] cooperative [PERIOD]
old-fashioned [AND] hurt [IMPLY] jittery [PERIOD]
fearless [AND] hurt [IMPLY] embarrassed [PERIOD]
fearless [IMPLY] joyous [PERIOD]
rational [AND] victorious [AND] hilarious [IMPLY] vivacious [... | Proof chain:
Cannot apply rule “jittery ∧ serious ∧ good ⇒ zealous” because missing: jittery, serious, good.
Cannot apply rule “thoughtful ∧ hilarious ⇒ zealous” because missing: thoughtful, hilarious.
Cannot apply rule “spotless ∧ vivacious ∧ jittery ⇒ zealous” because missing: spotless, vivacious, jittery.
| 0 | 3 |
Facts: Batman is helpful [PERIOD]
Rules:
straightforward [IMPLY] zealous [PERIOD]
curious [AND] amused [IMPLY] helpful [PERIOD]
clean [AND] supportive [IMPLY] tense [PERIOD]
supportive [AND] broad-minded [AND] zealous [IMPLY] clean [PERIOD]
straightforward [AND] amused [IMPLY] zealous [PERIOD]
curious [AND] stubborn [... | Proof chain:
Cannot apply rule “stubborn ⇒ average” because missing: stubborn.
Cannot apply rule “blushing ∧ tense ∧ amused ⇒ average” because missing: blushing, tense, amused.
Cannot apply rule “supportive ⇒ average” because missing: supportive.
| 0 | 3 |
Facts: Batman is impatient [PERIOD] Batman is careless [PERIOD] Batman is adorable [PERIOD]
Rules:
dull [AND] mysterious [IMPLY] careless [PERIOD]
joyous [AND] dull [IMPLY] talkative [PERIOD]
adorable [AND] tender [IMPLY] grumpy [PERIOD]
careless [IMPLY] tender [PERIOD]
talented [AND] joyous [AND] adorable [IMPLY] gru... | Proof chain:
adorable ⇒ grumpy
grumpy ⇒ mysterious
impatient ∧ mysterious ⇒ easy
| 1 | 3 |
Facts: Batman is popular [PERIOD] Batman is careless [PERIOD]
Rules:
supportive [AND] rational [IMPLY] popular [PERIOD]
clumsy [IMPLY] weary [PERIOD]
helpless [AND] clumsy [IMPLY] inquisitive [PERIOD]
bright [AND] exuberant [IMPLY] cooperative [PERIOD]
good [IMPLY] crowded [PERIOD]
attentive [IMPLY] strange [PERIOD]
c... | Proof chain:
careless ⇒ good
good ⇒ crowded
crowded ⇒ precious
| 1 | 3 |
Facts: Batman is scared [PERIOD] Batman is elated [PERIOD]
Rules:
disgusted [AND] sincere [IMPLY] clumsy [PERIOD]
adorable [AND] innocent [IMPLY] beautiful [PERIOD]
reserved [IMPLY] clumsy [PERIOD]
elated [AND] scared [AND] anxious [IMPLY] sincere [PERIOD]
disgusted [IMPLY] smart [PERIOD]
elated [IMPLY] anxious [PERIO... | Proof chain:
elated ⇒ anxious
elated ∧ scared ∧ anxious ⇒ sincere
sincere ⇒ fine
| 1 | 3 |
Facts:
Rules:
sleepy [AND] zealous [IMPLY] powerful [PERIOD]
sleepy [IMPLY] charming [PERIOD]
precious [AND] cooperative [AND] straightforward [IMPLY] gifted [PERIOD]
sleepy [AND] agreeable [IMPLY] gifted [PERIOD]
sincere [AND] average [IMPLY] precious [PERIOD]
broad-minded [AND] powerful [IMPLY] zealous [PERIOD]
slee... | Proof chain:
Cannot apply rule “sleepy ⇒ charming” because missing: sleepy.
Cannot apply rule “gifted ∧ powerful ⇒ charming” because missing: gifted, powerful.
Cannot apply rule “average ∧ zealous ⇒ charming” because missing: average, zealous.
| 0 | 3 |
Facts: Batman is average [PERIOD]
Rules:
average [AND] sleepy [AND] precious [IMPLY] charming [PERIOD]
average [AND] inquisitive [AND] blushing [IMPLY] ugliest [PERIOD]
naughty [AND] fearless [IMPLY] gleaming [PERIOD]
easy [IMPLY] powerful [PERIOD]
powerful [IMPLY] sleepy [PERIOD]
easy [AND] naughty [AND] talkative [I... | Proof chain:
Cannot apply rule “victorious ∧ naughty ∧ wrong ⇒ excited” because missing: victorious, naughty, wrong.
Cannot apply rule “precious ∧ curious ∧ naughty ⇒ excited” because missing: precious, curious, naughty.
Cannot apply rule “talkative ∧ blushing ⇒ excited” because missing: talkative, blushing.
| 0 | 3 |
Facts:
Rules:
bored [IMPLY] condemned [PERIOD]
condemned [IMPLY] victorious [PERIOD]
bored [IMPLY] careless [PERIOD]
careless [IMPLY] condemned [PERIOD]
embarrassed [AND] careless [IMPLY] rational [PERIOD]
bored [IMPLY] victorious [PERIOD]
grumpy [AND] careless [AND] embarrassed [IMPLY] victorious [PERIOD]
victorious ... | Proof chain:
Cannot apply rule “rational ⇒ grumpy” because missing: rational.
Cannot apply rule “careless ∧ rational ⇒ grumpy” because missing: careless, rational.
Cannot apply rule “rational ∧ careless ∧ condemned ⇒ grumpy” because missing: rational, careless, condemned.
| 0 | 3 |
Facts: Batman is tidy [PERIOD]
Rules:
supportive [IMPLY] bright [PERIOD]
pleasant [IMPLY] tidy [PERIOD]
unpleasant [AND] ambitious [IMPLY] easy [PERIOD]
supportive [AND] polite [AND] selfish [IMPLY] bright [PERIOD]
supportive [AND] pleasant [IMPLY] easy [PERIOD]
tidy [AND] broad-minded [AND] mysterious [IMPLY] difficu... | Proof chain:
Cannot apply rule “pleasant ∧ confused ⇒ supportive” because missing: pleasant, confused.
Cannot apply rule “stormy ∧ difficult ∧ unpleasant ⇒ supportive” because missing: stormy, difficult, unpleasant.
Cannot apply rule “stormy ∧ tense ⇒ supportive” because missing: stormy, tense.
| 0 | 3 |
Facts: Batman is wandering [PERIOD]
Rules:
weary [AND] anxious [AND] reserved [IMPLY] tame [PERIOD]
ambitious [IMPLY] blushing [PERIOD]
elated [AND] sleepy [AND] stormy [IMPLY] weary [PERIOD]
precious [AND] weary [IMPLY] stormy [PERIOD]
impatient [IMPLY] weary [PERIOD]
attractive [AND] bright [IMPLY] versatile [PERIOD... | Proof chain:
Cannot apply rule “attractive ∧ bright ⇒ versatile” because missing: attractive, bright.
Cannot apply rule “tame ⇒ versatile” because missing: tame.
Cannot apply rule “weary ⇒ versatile” because missing: weary.
| 0 | 3 |
Facts: Batman is bossy [PERIOD] Batman is bored [PERIOD]
Rules:
glamorous [IMPLY] disobedient [PERIOD]
glamorous [AND] smart [AND] crowded [IMPLY] frail [PERIOD]
bored [AND] frail [AND] disobedient [IMPLY] comfortable [PERIOD]
silly [IMPLY] bossy [PERIOD]
bored [AND] smart [IMPLY] glamorous [PERIOD]
smart [AND] glamor... | Proof chain:
Cannot apply rule “comfortable ∧ helpful ⇒ crowded” because missing: comfortable, helpful.
Cannot apply rule “smart ∧ good ∧ helpful ⇒ crowded” because missing: smart, good, helpful.
Cannot apply rule “silly ⇒ crowded” because missing: silly.
| 0 | 3 |
Facts: Batman is outstanding [PERIOD] Batman is frail [PERIOD] Batman is rude [PERIOD] Batman is wide-eyed [PERIOD]
Rules:
rude [IMPLY] wide-eyed [PERIOD]
serious [IMPLY] inquisitive [PERIOD]
stupid [AND] frail [IMPLY] selfish [PERIOD]
distinct [AND] stupid [AND] rude [IMPLY] confused [PERIOD]
tidy [AND] confused [IMP... | Proof chain:
frail ∧ rude ⇒ distinct
rude ⇒ stupid
distinct ∧ stupid ∧ rude ⇒ confused
| 1 | 3 |
Facts: Batman is average [PERIOD]
Rules:
bored [AND] combative [IMPLY] versatile [PERIOD]
bored [IMPLY] silly [PERIOD]
jittery [AND] bored [IMPLY] foolish [PERIOD]
excited [AND] jittery [IMPLY] inexpensive [PERIOD]
friendly [IMPLY] disobedient [PERIOD]
rude [AND] foolish [AND] bored [IMPLY] dishonest [PERIOD]
rude [IM... | Proof chain:
Cannot apply rule “jittery ∧ bored ⇒ foolish” because missing: jittery, bored.
Cannot apply rule “disobedient ∧ stupid ⇒ foolish” because missing: disobedient, stupid.
Cannot apply rule “bored ⇒ foolish” because missing: bored.
| 0 | 3 |
Facts: Batman is elated [PERIOD] Batman is bad-tempered [PERIOD] Batman is inquisitive [PERIOD] Batman is hurt [PERIOD] Batman is sensible [PERIOD] Batman is scared [PERIOD]
Rules:
hurt [AND] famous [AND] hypocritical [IMPLY] inquisitive [PERIOD]
elegant [AND] elated [IMPLY] excited [PERIOD]
disgusted [AND] hurt [IMPL... | Proof chain:
scared ∧ bad-tempered ∧ sensible ⇒ excited
hurt ∧ excited ⇒ elegant
sensible ∧ elegant ∧ inquisitive ⇒ famous
| 1 | 3 |
Facts: Batman is outrageous [PERIOD] Batman is beautiful [PERIOD] Batman is blushing [PERIOD] Batman is messy [PERIOD] Batman is witty [PERIOD] Batman is horrible [PERIOD] Batman is inquisitive [PERIOD] Batman is talkative [PERIOD]
Rules:
blushing [AND] horrible [AND] beautiful [IMPLY] proud [PERIOD]
stormy [AND] vers... | Proof chain:
witty ⇒ exuberant
blushing ⇒ wandering
Cannot apply rule “innocent ∧ exuberant ∧ wandering ⇒ combative” because missing: innocent.
| 0 | 3 |
Facts:
Rules:
fancy [AND] worrisome [AND] helpless [IMPLY] cute [PERIOD]
versatile [IMPLY] ugly [PERIOD]
innocent [AND] worrisome [AND] worried [IMPLY] helpless [PERIOD]
mysterious [IMPLY] scared [PERIOD]
lonely [AND] mysterious [AND] cooperative [IMPLY] thoughtful [PERIOD]
serious [AND] innocent [IMPLY] ambitious [PE... | Proof chain:
Cannot apply rule “ambitious ∧ ugly ⇒ worried” because missing: ambitious, ugly.
Cannot apply rule “blushing ⇒ worried” because missing: blushing.
Cannot apply rule “mysterious ∧ helpless ⇒ worried” because missing: mysterious, helpless.
| 0 | 3 |
Facts: Batman is curious [PERIOD] Batman is homely [PERIOD] Batman is cooperative [PERIOD] Batman is zealous [PERIOD] Batman is tender [PERIOD] Batman is nervous [PERIOD] Batman is attractive [PERIOD] Batman is courageous [PERIOD] Batman is rude [PERIOD]
Rules:
plain [IMPLY] nervous [PERIOD]
ambitious [IMPLY] nervous ... | Proof chain:
rude ⇒ vivacious
nervous ⇒ straightforward
vivacious ∧ straightforward ∧ zealous ⇒ plain
| 1 | 3 |
Facts: Batman is dishonest [PERIOD]
Rules:
clean [AND] nervous [IMPLY] intellectual [PERIOD]
unpleasant [AND] tender [AND] beautiful [IMPLY] good [PERIOD]
grumpy [IMPLY] intellectual [PERIOD]
talkative [AND] grumpy [AND] beautiful [IMPLY] nervous [PERIOD]
talkative [AND] exuberant [IMPLY] beautiful [PERIOD]
dishonest ... | Proof chain:
Cannot apply rule “intellectual ⇒ aggressive” because missing: intellectual.
Cannot apply rule “tender ∧ talkative ∧ helpful ⇒ aggressive” because missing: tender, talkative, helpful.
Cannot apply rule “helpful ∧ pessimistic ⇒ aggressive” because missing: helpful, pessimistic.
| 0 | 3 |
Facts: Batman is muddy [PERIOD] Batman is bossy [PERIOD] Batman is worried [PERIOD] Batman is strange [PERIOD] Batman is outstanding [PERIOD] Batman is ambitious [PERIOD] Batman is polite [PERIOD]
Rules:
clumsy [AND] worried [IMPLY] tender [PERIOD]
fancy [AND] average [AND] tender [IMPLY] hypocritical [PERIOD]
crowded... | Proof chain:
worried ⇒ diplomatic
diplomatic ⇒ shiny
shiny ∧ polite ⇒ exuberant
| 1 | 3 |
Facts:
Rules:
wide-eyed [AND] serious [AND] comfortable [IMPLY] light [PERIOD]
easy [IMPLY] fearless [PERIOD]
silly [AND] fearless [AND] serious [IMPLY] glamorous [PERIOD]
combative [IMPLY] mysterious [PERIOD]
unpleasant [IMPLY] glamorous [PERIOD]
shy [AND] silly [AND] excited [IMPLY] glamorous [PERIOD]
grumpy [AND] c... | Proof chain:
Cannot apply rule “silly ∧ fearless ∧ serious ⇒ glamorous” because missing: silly, fearless, serious.
Cannot apply rule “unpleasant ⇒ glamorous” because missing: unpleasant.
Cannot apply rule “shy ∧ silly ∧ excited ⇒ glamorous” because missing: shy, silly, excited.
| 0 | 3 |
Facts: Batman is anxious [PERIOD] Batman is precious [PERIOD] Batman is difficult [PERIOD] Batman is straightforward [PERIOD] Batman is gleaming [PERIOD] Batman is impatient [PERIOD] Batman is lucky [PERIOD] Batman is ugly [PERIOD] Batman is frightened [PERIOD] Batman is stupid [PERIOD] Batman is attentive [PERIOD]
Ru... | Proof chain:
impatient ∧ precious ⇒ jittery
ugly ⇒ cruel
jittery ∧ straightforward ∧ cruel ⇒ embarrassed
| 1 | 3 |
Facts: Batman is sleepy [PERIOD] Batman is dull [PERIOD] Batman is ambitious [PERIOD]
Rules:
pessimistic [AND] tidy [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] elated [PERIOD]
ambitious [AND] zealous [AND] exuberant [IMPLY] homely [PERIOD]
mean [AND] ambitious [IMPLY] pessimistic [PERIOD]
embarrassed [AND] elated... | Proof chain:
Cannot apply rule “mean ∧ tidy ⇒ bright” because missing: mean, tidy.
Cannot apply rule “homely ⇒ bright” because missing: homely.
Cannot apply rule “intellectual ⇒ bright” because missing: intellectual.
| 0 | 3 |
Facts: Batman is condemned [PERIOD] Batman is average [PERIOD] Batman is elegant [PERIOD]
Rules:
fine [IMPLY] talented [PERIOD]
ugly [IMPLY] light [PERIOD]
ugly [AND] elegant [AND] light [IMPLY] lonely [PERIOD]
light [IMPLY] average [PERIOD]
average [IMPLY] talented [PERIOD]
intellectual [IMPLY] elegant [PERIOD]
elega... | Proof chain:
condemned ∧ elegant ⇒ fine
fine ⇒ ugly
ugly ⇒ light
| 1 | 3 |
Facts: Batman is witty [PERIOD] Batman is broad-minded [PERIOD] Batman is hilarious [PERIOD] Batman is unpleasant [PERIOD] Batman is stubborn [PERIOD]
Rules:
impartial [IMPLY] stubborn [PERIOD]
impartial [AND] weary [AND] broad-minded [IMPLY] outstanding [PERIOD]
broad-minded [IMPLY] unpleasant [PERIOD]
bossy [AND] sc... | Proof chain:
witty ∧ broad-minded ⇒ beautiful
unpleasant ⇒ comfortable
beautiful ∧ comfortable ⇒ bossy
| 1 | 3 |
Facts: Batman is elegant [PERIOD]
Rules:
frail [AND] lonely [AND] mean [IMPLY] homely [PERIOD]
messy [AND] mean [IMPLY] gleaming [PERIOD]
stupid [AND] enchanting [IMPLY] fancy [PERIOD]
sincere [IMPLY] enchanting [PERIOD]
stupid [AND] worried [IMPLY] elegant [PERIOD]
wide-eyed [AND] uptight [AND] elegant [IMPLY] worrie... | Proof chain:
Cannot apply rule “frail ∧ lonely ∧ mean ⇒ homely” because missing: frail, lonely, mean.
Cannot apply rule “worried ⇒ homely” because missing: worried.
Cannot apply rule “enchanting ⇒ homely” because missing: enchanting.
| 0 | 3 |
Facts: Batman is proud [PERIOD] Batman is rude [PERIOD]
Rules:
rude [AND] comfortable [AND] fragile [IMPLY] tame [PERIOD]
gleaming [AND] confused [AND] frail [IMPLY] versatile [PERIOD]
cruel [AND] comfortable [AND] proud [IMPLY] rude [PERIOD]
alert [AND] confused [IMPLY] tame [PERIOD]
alert [AND] confused [IMPLY] impa... | Proof chain:
Cannot apply rule “impatient ⇒ frail” because missing: impatient.
Cannot apply rule “confused ⇒ frail” because missing: confused.
Cannot apply rule “impatient ∧ confused ⇒ frail” because missing: impatient, confused.
| 0 | 3 |
Facts: Batman is pleasant [PERIOD] Batman is perfect [PERIOD] Batman is fearless [PERIOD] Batman is joyous [PERIOD] Batman is tame [PERIOD] Batman is agreeable [PERIOD] Batman is vivacious [PERIOD] Batman is polite [PERIOD]
Rules:
joyous [IMPLY] long [PERIOD]
vivacious [AND] elegant [IMPLY] shy [PERIOD]
bored [IMPLY] ... | Proof chain:
polite ⇒ strange
Cannot apply rule “strange ∧ silly ⇒ muddy” because missing: silly.
Cannot apply rule “bored ⇒ muddy” because missing: bored.
| 0 | 3 |
Facts: Batman is ugliest [PERIOD] Batman is reserved [PERIOD] Batman is thoughtful [PERIOD] Batman is plain [PERIOD] Batman is victorious [PERIOD] Batman is worrisome [PERIOD] Batman is naughty [PERIOD] Batman is silly [PERIOD] Batman is loving [PERIOD]
Rules:
worrisome [AND] reserved [AND] rude [IMPLY] naughty [PERIO... | Proof chain:
worrisome ⇒ hurt
ugliest ⇒ inquisitive
hurt ∧ inquisitive ⇒ stormy
| 1 | 3 |
Facts: Batman is attractive [PERIOD] Batman is disobedient [PERIOD]
Rules:
glamorous [AND] sleepy [IMPLY] spotless [PERIOD]
scared [IMPLY] diplomatic [PERIOD]
comfortable [AND] diplomatic [AND] scared [IMPLY] attractive [PERIOD]
dull [AND] bad-tempered [AND] comfortable [IMPLY] beautiful [PERIOD]
disobedient [IMPLY] b... | Proof chain:
disobedient ⇒ beautiful
beautiful ⇒ frail
frail ⇒ charming
| 1 | 3 |
Facts: Batman is sensible [PERIOD] Batman is lucky [PERIOD] Batman is glamorous [PERIOD] Batman is wrong [PERIOD]
Rules:
sensible [AND] troubled [AND] hurt [IMPLY] beautiful [PERIOD]
elegant [IMPLY] sensible [PERIOD]
troubled [IMPLY] glamorous [PERIOD]
sensible [IMPLY] wrong [PERIOD]
elegant [AND] hurt [IMPLY] sensibl... | Proof chain:
glamorous ⇒ inexpensive
inexpensive ⇒ popular
popular ⇒ mean
| 1 | 3 |
Facts: Batman is gleaming [PERIOD] Batman is modern [PERIOD]
Rules:
witty [AND] distinct [AND] grumpy [IMPLY] gleaming [PERIOD]
hurt [AND] good [IMPLY] smart [PERIOD]
smart [AND] tired [IMPLY] fine [PERIOD]
versatile [IMPLY] hurt [PERIOD]
gleaming [AND] silly [IMPLY] vivacious [PERIOD]
innocent [IMPLY] fine [PERIOD]
l... | Proof chain:
Cannot apply rule “loving ∧ outrageous ∧ cooperative ⇒ innocent” because missing: loving, outrageous, cooperative.
Cannot apply rule “vivacious ⇒ innocent” because missing: vivacious.
Cannot apply rule “silly ∧ good ⇒ innocent” because missing: silly, good.
| 0 | 3 |
Facts: Batman is loving [PERIOD] Batman is average [PERIOD] Batman is aggressive [PERIOD]
Rules:
average [AND] sleepy [IMPLY] loving [PERIOD]
crowded [AND] loving [AND] old-fashioned [IMPLY] calm [PERIOD]
crowded [AND] aggressive [IMPLY] helpful [PERIOD]
calm [AND] bossy [AND] sleepy [IMPLY] aggressive [PERIOD]
bossy ... | Proof chain:
Cannot apply rule “crowded ∧ loving ∧ old-fashioned ⇒ calm” because missing: crowded, old-fashioned.
Cannot apply rule “pessimistic ⇒ calm” because missing: pessimistic.
Cannot apply rule “old-fashioned ∧ pessimistic ⇒ calm” because missing: old-fashioned, pessimistic.
| 0 | 3 |
Facts: Batman is fearless [PERIOD] Batman is fancy [PERIOD] Batman is mysterious [PERIOD] Batman is crowded [PERIOD] Batman is pessimistic [PERIOD]
Rules:
sleepy [IMPLY] lucky [PERIOD]
blushing [AND] sleepy [AND] alert [IMPLY] shy [PERIOD]
fearless [AND] clean [IMPLY] careless [PERIOD]
disgusted [AND] lucky [IMPLY] se... | Proof chain:
pessimistic ∧ mysterious ⇒ clean
clean ∧ fearless ⇒ disgusted
Cannot apply rule “rational ∧ disgusted ∧ hurt ⇒ fine” because missing: rational, hurt.
| 0 | 3 |
Facts:
Rules:
attractive [AND] hypocritical [IMPLY] ambitious [PERIOD]
attractive [AND] ambitious [IMPLY] elated [PERIOD]
ambitious [AND] attractive [AND] excited [IMPLY] elated [PERIOD]
excited [IMPLY] attractive [PERIOD]
excited [AND] ambitious [AND] attractive [IMPLY] hypocritical [PERIOD]
elated [IMPLY] ambitious ... | Proof chain:
Cannot apply rule “excited ⇒ attractive” because missing: excited.
Cannot apply rule “elated ∧ hypocritical ∧ ambitious ⇒ attractive” because missing: elated, hypocritical, ambitious.
Cannot apply rule “ambitious ∧ hypocritical ∧ excited ⇒ attractive” because missing: ambitious, hypocritical, exci... | 0 | 3 |
Facts: Batman is strange [PERIOD]
Rules:
intellectual [AND] famous [IMPLY] muddy [PERIOD]
unpleasant [IMPLY] famous [PERIOD]
strange [AND] hurt [IMPLY] unpleasant [PERIOD]
strange [IMPLY] popular [PERIOD]
popular [AND] hurt [IMPLY] sleepy [PERIOD]
hurt [AND] unpleasant [AND] sleepy [IMPLY] thoughtful [PERIOD]
muddy [I... | Proof chain:
strange ⇒ popular
strange ⇒ hurt
popular ∧ hurt ⇒ intellectual
| 1 | 3 |
Facts: Batman is naughty [PERIOD] Batman is average [PERIOD]
Rules:
excited [AND] victorious [IMPLY] impatient [PERIOD]
jittery [AND] tame [AND] exuberant [IMPLY] friendly [PERIOD]
long [AND] victorious [AND] polite [IMPLY] impatient [PERIOD]
naughty [AND] stormy [IMPLY] dull [PERIOD]
long [IMPLY] pessimistic [PERIOD]... | Proof chain:
average ⇒ gleaming
gleaming ⇒ perfect
perfect ⇒ friendly
| 1 | 3 |
Facts: Batman is fine [PERIOD] Batman is victorious [PERIOD] Batman is gorgeous [PERIOD]
Rules:
inexpensive [IMPLY] dull [PERIOD]
gorgeous [AND] stubborn [IMPLY] ugly [PERIOD]
thoughtless [AND] gorgeous [IMPLY] impatient [PERIOD]
ugly [AND] thoughtless [AND] fine [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] thoughtless ... | Proof chain:
victorious ⇒ stubborn
stubborn ⇒ thoughtless
thoughtless ∧ gorgeous ⇒ impatient
| 1 | 3 |
Facts: Batman is plain [PERIOD] Batman is pessimistic [PERIOD] Batman is modern [PERIOD]
Rules:
proud [AND] modern [IMPLY] smart [PERIOD]
bright [IMPLY] modern [PERIOD]
pessimistic [IMPLY] ugliest [PERIOD]
unpleasant [AND] serious [AND] plain [IMPLY] charming [PERIOD]
bright [AND] shiny [IMPLY] pessimistic [PERIOD]
mu... | Proof chain:
Cannot apply rule “muddy ∧ pessimistic ∧ cute ⇒ bad-tempered” because missing: muddy, cute.
Cannot apply rule “unpleasant ∧ fine ⇒ bad-tempered” because missing: unpleasant, fine.
Cannot apply rule “unpleasant ∧ difficult ⇒ bad-tempered” because missing: unpleasant, difficult.
| 0 | 3 |
Facts: Batman is pessimistic [PERIOD] Batman is confident [PERIOD] Batman is silly [PERIOD] Batman is disobedient [PERIOD] Batman is attentive [PERIOD] Batman is hypocritical [PERIOD]
Rules:
friendly [IMPLY] witty [PERIOD]
dishonest [AND] serious [IMPLY] supportive [PERIOD]
serious [AND] friendly [AND] dishonest [IMPL... | Proof chain:
disobedient ∧ silly ⇒ supportive
supportive ⇒ impartial
impartial ∧ attentive ⇒ frantic
| 1 | 3 |
Facts: Batman is spotless [PERIOD] Batman is talented [PERIOD] Batman is exuberant [PERIOD] Batman is strange [PERIOD] Batman is glamorous [PERIOD]
Rules:
strange [IMPLY] spotless [PERIOD]
tense [IMPLY] curious [PERIOD]
fine [AND] old-fashioned [AND] talented [IMPLY] exuberant [PERIOD]
outrageous [AND] talented [IMPLY... | Proof chain:
talented ∧ spotless ⇒ old-fashioned
strange ∧ glamorous ⇒ outrageous
old-fashioned ∧ outrageous ⇒ fine
| 1 | 3 |
Facts: Batman is lonely [PERIOD] Batman is reserved [PERIOD] Batman is worried [PERIOD] Batman is charming [PERIOD]
Rules:
lonely [IMPLY] charming [PERIOD]
witty [AND] messy [IMPLY] reserved [PERIOD]
charming [AND] messy [AND] worried [IMPLY] witty [PERIOD]
witty [IMPLY] reserved [PERIOD]
worried [IMPLY] lonely [PERIO... | Proof chain:
lonely ∧ worried ⇒ distinct
worried ∧ reserved ∧ distinct ⇒ troubled
troubled ∧ worried ⇒ homely
| 1 | 3 |
Facts: Batman is thoughtless [PERIOD] Batman is muddy [PERIOD] Batman is serious [PERIOD] Batman is embarrassed [PERIOD]
Rules:
beautiful [IMPLY] attractive [PERIOD]
serious [AND] sleepy [AND] beautiful [IMPLY] attractive [PERIOD]
thoughtless [AND] plain [AND] shiny [IMPLY] comfortable [PERIOD]
muddy [AND] beautiful [... | Proof chain:
Cannot apply rule “beautiful ⇒ attractive” because missing: beautiful.
Cannot apply rule “serious ∧ sleepy ∧ beautiful ⇒ attractive” because missing: sleepy, beautiful.
Cannot apply rule “gleaming ∧ embarrassed ∧ serious ⇒ attractive” because missing: gleaming.
| 0 | 3 |
Facts: Batman is enchanting [PERIOD] Batman is vivacious [PERIOD]
Rules:
busy [AND] excited [AND] amused [IMPLY] nervous [PERIOD]
enchanting [AND] tame [IMPLY] anxious [PERIOD]
worried [IMPLY] elegant [PERIOD]
impatient [AND] excited [AND] amused [IMPLY] exuberant [PERIOD]
careless [AND] serious [AND] precious [IMPLY]... | Proof chain:
vivacious ⇒ anxious
anxious ⇒ witty
witty ⇒ busy
| 1 | 3 |
Facts:
Rules:
bored [IMPLY] careless [PERIOD]
thoughtful [IMPLY] agreeable [PERIOD]
unpleasant [IMPLY] ugly [PERIOD]
wide-eyed [AND] unpleasant [IMPLY] impartial [PERIOD]
thoughtful [IMPLY] zealous [PERIOD]
wide-eyed [IMPLY] careless [PERIOD]
thoughtful [AND] mysterious [IMPLY] stormy [PERIOD]
agreeable [AND] naughty ... | Proof chain:
Cannot apply rule “zealous ⇒ bored” because missing: zealous.
Cannot apply rule “versatile ∧ agreeable ⇒ bored” because missing: versatile, agreeable.
Cannot apply rule “adorable ∧ enchanting ∧ wide-eyed ⇒ bored” because missing: adorable, enchanting, wide-eyed.
| 0 | 3 |
Facts:
Rules:
friendly [AND] troubled [IMPLY] grumpy [PERIOD]
friendly [AND] troubled [AND] tame [IMPLY] wide-eyed [PERIOD]
troubled [IMPLY] tame [PERIOD]
tame [AND] grumpy [IMPLY] friendly [PERIOD]
tame [AND] troubled [IMPLY] grumpy [PERIOD]
wide-eyed [AND] tame [AND] friendly [IMPLY] troubled [PERIOD]
tame [AND] gru... | Proof chain:
Cannot apply rule “friendly ∧ troubled ⇒ grumpy” because missing: friendly, troubled.
Cannot apply rule “tame ∧ troubled ⇒ grumpy” because missing: tame, troubled.
Cannot apply rule “wide-eyed ∧ troubled ∧ tame ⇒ grumpy” because missing: wide-eyed, troubled, tame.
| 0 | 3 |
Facts: Batman is strange [PERIOD] Batman is attractive [PERIOD] Batman is busy [PERIOD] Batman is impartial [PERIOD] Batman is good [PERIOD]
Rules:
frantic [IMPLY] impartial [PERIOD]
outstanding [AND] tired [AND] long [IMPLY] busy [PERIOD]
versatile [AND] fearless [IMPLY] shiny [PERIOD]
long [AND] easy [IMPLY] strange... | Proof chain:
good ⇒ shiny
good ∧ shiny ∧ attractive ⇒ tired
Cannot apply rule “dull ∧ tired ∧ tame ⇒ foolish” because missing: dull, tame.
| 0 | 3 |
Facts:
Rules:
joyous [AND] friendly [IMPLY] wandering [PERIOD]
joyous [IMPLY] wandering [PERIOD]
joyous [AND] famous [AND] lonely [IMPLY] wandering [PERIOD]
lonely [AND] joyous [IMPLY] friendly [PERIOD]
joyous [IMPLY] friendly [PERIOD]
lonely [AND] famous [AND] joyous [IMPLY] friendly [PERIOD]
Query: Batman is friendl... | Proof chain:
Cannot apply rule “lonely ∧ joyous ⇒ friendly” because missing: lonely, joyous.
Cannot apply rule “joyous ⇒ friendly” because missing: joyous.
Cannot apply rule “lonely ∧ famous ∧ joyous ⇒ friendly” because missing: lonely, famous, joyous.
| 0 | 3 |
Facts:
Rules:
straightforward [AND] elated [AND] messy [IMPLY] worrisome [PERIOD]
intellectual [AND] worrisome [AND] naughty [IMPLY] elated [PERIOD]
worrisome [AND] naughty [AND] messy [IMPLY] elated [PERIOD]
worrisome [IMPLY] straightforward [PERIOD]
elated [AND] troubled [IMPLY] naughty [PERIOD]
elated [IMPLY] naugh... | Proof chain:
Cannot apply rule “troubled ∧ worrisome ⇒ messy” because missing: troubled, worrisome.
Cannot apply rule “intellectual ∧ elated ⇒ messy” because missing: intellectual, elated.
Cannot apply rule “worrisome ∧ intellectual ⇒ messy” because missing: worrisome, intellectual.
| 0 | 3 |
Facts:
Rules:
gorgeous [AND] bored [IMPLY] impartial [PERIOD]
anxious [AND] impartial [IMPLY] adorable [PERIOD]
helpless [AND] hypocritical [AND] precious [IMPLY] gorgeous [PERIOD]
hypocritical [AND] helpless [AND] frantic [IMPLY] courageous [PERIOD]
elegant [IMPLY] exuberant [PERIOD]
condemned [AND] gorgeous [AND] bo... | Proof chain:
Cannot apply rule “pessimistic ∧ elegant ∧ precious ⇒ bored” because missing: pessimistic, elegant, precious.
Cannot apply rule “adorable ∧ charming ∧ helpless ⇒ bored” because missing: adorable, charming, helpless.
Cannot apply rule “anxious ∧ hypocritical ∧ condemned ⇒ bored” because missing: an... | 0 | 3 |
Facts: Batman is lonely [PERIOD] Batman is stubborn [PERIOD] Batman is bright [PERIOD] Batman is ugliest [PERIOD] Batman is bad-tempered [PERIOD] Batman is frail [PERIOD] Batman is hypocritical [PERIOD]
Rules:
diplomatic [IMPLY] muddy [PERIOD]
spotless [AND] loving [AND] pleasant [IMPLY] diplomatic [PERIOD]
bright [IM... | Proof chain:
lonely ⇒ shy
shy ⇒ talkative
talkative ∧ hypocritical ⇒ diplomatic
| 1 | 3 |
Facts: Batman is hypocritical [PERIOD] Batman is pessimistic [PERIOD]
Rules:
cruel [AND] jittery [AND] elegant [IMPLY] pessimistic [PERIOD]
naughty [AND] calm [IMPLY] famous [PERIOD]
hypocritical [AND] jittery [IMPLY] naughty [PERIOD]
witty [IMPLY] famous [PERIOD]
jittery [AND] witty [IMPLY] naughty [PERIOD]
jittery [... | Proof chain:
Cannot apply rule “naughty ∧ calm ⇒ famous” because missing: naughty, calm.
Cannot apply rule “witty ⇒ famous” because missing: witty.
Cannot apply rule “witty ∧ unpleasant ⇒ famous” because missing: witty, unpleasant.
| 0 | 3 |
Facts: Batman is tired [PERIOD] Batman is impartial [PERIOD] Batman is bossy [PERIOD] Batman is anxious [PERIOD] Batman is exuberant [PERIOD] Batman is elated [PERIOD] Batman is famous [PERIOD] Batman is bright [PERIOD] Batman is horrible [PERIOD]
Rules:
cooperative [AND] exuberant [IMPLY] shiny [PERIOD]
impartial [AN... | Proof chain:
anxious ⇒ shiny
impartial ⇒ average
shiny ∧ bright ∧ average ⇒ tame
| 1 | 3 |
Facts:
Rules:
straightforward [AND] naughty [IMPLY] horrible [PERIOD]
talkative [AND] curious [IMPLY] straightforward [PERIOD]
outrageous [AND] modern [AND] tense [IMPLY] witty [PERIOD]
reserved [AND] popular [AND] clumsy [IMPLY] thoughtless [PERIOD]
modern [AND] combative [AND] clumsy [IMPLY] long [PERIOD]
uptight [A... | Proof chain:
Cannot apply rule “zealous ⇒ foolish” because missing: zealous.
Cannot apply rule “curious ⇒ foolish” because missing: curious.
Cannot apply rule “long ∧ comfortable ∧ frantic ⇒ foolish” because missing: long, comfortable, frantic.
| 0 | 3 |
Facts: Batman is homely [PERIOD] Batman is clumsy [PERIOD] Batman is scared [PERIOD]
Rules:
adorable [IMPLY] inexpensive [PERIOD]
lonely [AND] hilarious [AND] clumsy [IMPLY] inexpensive [PERIOD]
scared [AND] enchanting [AND] homely [IMPLY] impartial [PERIOD]
lonely [AND] mysterious [AND] thoughtful [IMPLY] weary [PERI... | Proof chain:
homely ⇒ modern
scared ∧ clumsy ⇒ bossy
modern ∧ bossy ∧ homely ⇒ curious
| 1 | 3 |
Facts: Batman is outrageous [PERIOD] Batman is rude [PERIOD] Batman is cruel [PERIOD] Batman is talkative [PERIOD]
Rules:
hurt [AND] lucky [IMPLY] lonely [PERIOD]
helpful [IMPLY] fine [PERIOD]
powerful [AND] disgusted [IMPLY] helpful [PERIOD]
wrong [AND] difficult [AND] jittery [IMPLY] lucky [PERIOD]
wrong [IMPLY] pop... | Proof chain:
Cannot apply rule “ugliest ⇒ wrong” because missing: ugliest.
rude ⇒ long
Cannot apply rule “reserved ∧ outrageous ∧ long ⇒ wrong” because missing: reserved.
| 0 | 3 |
Facts:
Rules:
glamorous [AND] careless [AND] nervous [IMPLY] old-fashioned [PERIOD]
friendly [AND] nervous [IMPLY] fancy [PERIOD]
careless [AND] glamorous [IMPLY] nervous [PERIOD]
popular [AND] frail [IMPLY] friendly [PERIOD]
frail [IMPLY] old-fashioned [PERIOD]
careless [AND] old-fashioned [AND] glamorous [IMPLY] pop... | Proof chain:
Cannot apply rule “popular ∧ frail ⇒ friendly” because missing: popular, frail.
Cannot apply rule “homely ∧ old-fashioned ⇒ friendly” because missing: homely, old-fashioned.
Cannot apply rule “fancy ∧ careless ∧ nervous ⇒ friendly” because missing: fancy, careless, nervous.
| 0 | 3 |
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