Question string | Complex_CoT string | Response int64 | Depth int64 |
|---|---|---|---|
Facts: Batman is grumpy [PERIOD]
Rules:
tense [AND] curious [IMPLY] foolish [PERIOD]
fearless [AND] sincere [AND] exuberant [IMPLY] outrageous [PERIOD]
fearless [IMPLY] hilarious [PERIOD]
witty [AND] bossy [AND] tense [IMPLY] wrong [PERIOD]
popular [IMPLY] sincere [PERIOD]
exuberant [AND] dishonest [AND] bossy [IMPLY]... | Proof chain:
Cannot apply rule “foolish ⇒ dishonest” because missing: foolish.
Cannot apply rule “curious ⇒ dishonest” because missing: curious.
Cannot apply rule “outrageous ∧ wrong ⇒ dishonest” because missing: outrageous, wrong.
| 0 | 3 |
Facts: Batman is innocent [PERIOD] Batman is condemned [PERIOD] Batman is amused [PERIOD] Batman is outrageous [PERIOD] Batman is gifted [PERIOD] Batman is sleepy [PERIOD]
Rules:
jittery [IMPLY] condemned [PERIOD]
inexpensive [IMPLY] perfect [PERIOD]
outrageous [AND] jittery [AND] gifted [IMPLY] innocent [PERIOD]
perf... | Proof chain:
outrageous ⇒ inexpensive
inexpensive ⇒ perfect
perfect ∧ condemned ⇒ popular
| 1 | 3 |
Facts: Batman is talkative [PERIOD] Batman is modern [PERIOD] Batman is rational [PERIOD]
Rules:
inexpensive [AND] proud [AND] famous [IMPLY] agreeable [PERIOD]
modern [AND] worrisome [AND] glamorous [IMPLY] easy [PERIOD]
easy [AND] shy [AND] outstanding [IMPLY] elegant [PERIOD]
shy [AND] rational [IMPLY] outstanding ... | Proof chain:
modern ⇒ inexpensive
inexpensive ⇒ outrageous
outrageous ⇒ agreeable
| 1 | 3 |
Facts: Batman is dishonest [PERIOD]
Rules:
elegant [IMPLY] inexpensive [PERIOD]
frightened [AND] horrible [IMPLY] jittery [PERIOD]
lucky [AND] fine [IMPLY] hypocritical [PERIOD]
hypocritical [IMPLY] inexpensive [PERIOD]
foolish [IMPLY] joyous [PERIOD]
inexpensive [AND] foolish [AND] weary [IMPLY] elegant [PERIOD]
jitt... | Proof chain:
Cannot apply rule “elegant ⇒ inexpensive” because missing: elegant.
Cannot apply rule “hypocritical ⇒ inexpensive” because missing: hypocritical.
Cannot apply rule “alert ∧ combative ⇒ inexpensive” because missing: alert, combative.
| 0 | 3 |
Facts: Batman is worrisome [PERIOD] Batman is polite [PERIOD] Batman is strange [PERIOD] Batman is combative [PERIOD] Batman is thoughtless [PERIOD]
Rules:
elated [AND] thoughtless [AND] stupid [IMPLY] wandering [PERIOD]
mysterious [AND] light [AND] stupid [IMPLY] polite [PERIOD]
elated [IMPLY] worrisome [PERIOD]
comb... | Proof chain:
strange ⇒ mysterious
worrisome ∧ mysterious ⇒ diplomatic
polite ∧ diplomatic ⇒ lonely
| 1 | 3 |
Facts: Batman is wide-eyed [PERIOD] Batman is crowded [PERIOD] Batman is witty [PERIOD] Batman is fragile [PERIOD] Batman is alert [PERIOD] Batman is tame [PERIOD] Batman is talented [PERIOD] Batman is proud [PERIOD] Batman is bored [PERIOD] Batman is modern [PERIOD]
Rules:
wide-eyed [AND] clean [AND] average [IMPLY] ... | Proof chain:
tame ⇒ elated
elated ∧ modern ⇒ clean
wide-eyed ∧ clean ∧ bored ⇒ helpful
| 1 | 3 |
Facts:
Rules:
old-fashioned [AND] outrageous [AND] worried [IMPLY] zealous [PERIOD]
outrageous [AND] careless [IMPLY] zealous [PERIOD]
bossy [AND] worried [AND] outrageous [IMPLY] thoughtless [PERIOD]
outrageous [AND] spotless [AND] worrisome [IMPLY] careless [PERIOD]
careless [AND] old-fashioned [AND] worrisome [IMPL... | Proof chain:
Cannot apply rule “careless ∧ spotless ⇒ old-fashioned” because missing: careless, spotless.
Cannot apply rule “outrageous ∧ disobedient ∧ worrisome ⇒ old-fashioned” because missing: outrageous, disobedient, worrisome.
Cannot apply rule “zealous ∧ bossy ∧ worrisome ⇒ old-fashioned” because missing... | 0 | 3 |
Facts: Batman is wrong [PERIOD] Batman is horrible [PERIOD] Batman is thoughtless [PERIOD] Batman is diplomatic [PERIOD] Batman is supportive [PERIOD]
Rules:
diplomatic [IMPLY] curious [PERIOD]
powerful [AND] diplomatic [IMPLY] sincere [PERIOD]
enchanting [AND] sincere [AND] ambitious [IMPLY] powerful [PERIOD]
dishone... | Proof chain:
diplomatic ⇒ pleasant
pleasant ⇒ different
different ⇒ sleepy
| 1 | 3 |
Facts: Batman is wandering [PERIOD] Batman is tense [PERIOD]
Rules:
tense [IMPLY] good [PERIOD]
tense [AND] good [IMPLY] spotless [PERIOD]
inquisitive [AND] tense [IMPLY] busy [PERIOD]
tense [AND] spotless [IMPLY] troubled [PERIOD]
inquisitive [AND] worrisome [AND] troubled [IMPLY] tense [PERIOD]
troubled [IMPLY] spot... | Proof chain:
tense ⇒ good
good ⇒ inquisitive
inquisitive ∧ tense ⇒ busy
| 1 | 3 |
Facts: Batman is different [PERIOD] Batman is straightforward [PERIOD] Batman is comfortable [PERIOD] Batman is witty [PERIOD] Batman is sleepy [PERIOD] Batman is lucky [PERIOD]
Rules:
adorable [AND] embarrassed [AND] sleepy [IMPLY] wide-eyed [PERIOD]
supportive [AND] aggressive [IMPLY] shiny [PERIOD]
disgusted [AND] ... | Proof chain:
sleepy ∧ different ⇒ attentive
straightforward ∧ attentive ⇒ aggressive
straightforward ∧ aggressive ∧ different ⇒ muddy
| 1 | 3 |
Facts: Batman is different [PERIOD]
Rules:
attractive [AND] good [IMPLY] shy [PERIOD]
good [AND] intellectual [AND] shy [IMPLY] bright [PERIOD]
helpful [AND] shy [IMPLY] uptight [PERIOD]
friendly [AND] good [IMPLY] helpful [PERIOD]
helpful [IMPLY] shy [PERIOD]
different [AND] bright [IMPLY] attractive [PERIOD]
intelle... | Proof chain:
Cannot apply rule “intellectual ∧ bright ⇒ confident” because missing: intellectual, bright.
Cannot apply rule “long ∧ attractive ⇒ confident” because missing: long, attractive.
Cannot apply rule “bright ∧ shy ∧ friendly ⇒ confident” because missing: bright, shy, friendly.
| 0 | 3 |
Facts: Batman is bad-tempered [PERIOD] Batman is mean [PERIOD] Batman is stormy [PERIOD] Batman is attentive [PERIOD] Batman is broad-minded [PERIOD] Batman is witty [PERIOD] Batman is naughty [PERIOD] Batman is old-fashioned [PERIOD]
Rules:
bad-tempered [AND] bored [IMPLY] condemned [PERIOD]
versatile [AND] mean [IMP... | Proof chain:
naughty ∧ broad-minded ⇒ worrisome
worrisome ∧ witty ⇒ different
different ⇒ versatile
| 1 | 3 |
Facts:
Rules:
attentive [IMPLY] aggressive [PERIOD]
serious [AND] pleasant [AND] aggressive [IMPLY] strange [PERIOD]
grumpy [AND] attentive [IMPLY] strange [PERIOD]
grumpy [AND] modern [AND] serious [IMPLY] stubborn [PERIOD]
stupid [AND] pleasant [AND] distinct [IMPLY] serious [PERIOD]
hypocritical [AND] stubborn [IMP... | Proof chain:
Cannot apply rule “attentive ⇒ aggressive” because missing: attentive.
Cannot apply rule “modern ∧ serious ∧ attentive ⇒ aggressive” because missing: modern, serious, attentive.
Cannot apply rule “distinct ∧ attentive ∧ strange ⇒ aggressive” because missing: distinct, attentive, strange.
| 0 | 3 |
Facts: Batman is attentive [PERIOD] Batman is bright [PERIOD] Batman is alert [PERIOD]
Rules:
bright [AND] sincere [IMPLY] tired [PERIOD]
jittery [AND] attentive [AND] foolish [IMPLY] tame [PERIOD]
sincere [IMPLY] disgusted [PERIOD]
disgusted [AND] bright [AND] jittery [IMPLY] tame [PERIOD]
jittery [AND] sincere [AND]... | Proof chain:
alert ⇒ disgusted
attentive ∧ bright ⇒ foolish
disgusted ∧ foolish ∧ alert ⇒ sincere
| 1 | 3 |
Facts: Batman is horrible [PERIOD] Batman is elated [PERIOD]
Rules:
scared [AND] attentive [AND] zealous [IMPLY] old-fashioned [PERIOD]
attentive [IMPLY] scared [PERIOD]
elated [AND] courageous [IMPLY] old-fashioned [PERIOD]
zealous [AND] courageous [AND] elated [IMPLY] grumpy [PERIOD]
grumpy [IMPLY] attentive [PERIOD... | Proof chain:
Cannot apply rule “horrible ∧ attentive ⇒ zealous” because missing: attentive.
Cannot apply rule “attentive ⇒ zealous” because missing: attentive.
Cannot apply rule “friendly ∧ stormy ∧ old-fashioned ⇒ zealous” because missing: friendly, stormy, old-fashioned.
| 0 | 3 |
Facts: Batman is worrisome [PERIOD]
Rules:
bright [AND] fragile [IMPLY] beautiful [PERIOD]
outrageous [IMPLY] ugliest [PERIOD]
nervous [AND] fragile [IMPLY] outrageous [PERIOD]
bright [AND] outrageous [AND] beautiful [IMPLY] fragile [PERIOD]
difficult [AND] ugliest [IMPLY] bright [PERIOD]
outrageous [IMPLY] difficult ... | Proof chain:
worrisome ⇒ outrageous
worrisome ∧ outrageous ⇒ bright
bright ⇒ beautiful
| 1 | 3 |
Facts:
Rules:
perfect [IMPLY] friendly [PERIOD]
hypocritical [IMPLY] friendly [PERIOD]
strange [AND] perfect [IMPLY] hypocritical [PERIOD]
impatient [IMPLY] strange [PERIOD]
friendly [AND] perfect [IMPLY] impatient [PERIOD]
strange [AND] perfect [AND] impatient [IMPLY] hypocritical [PERIOD]
perfect [AND] strange [IMPL... | Proof chain:
Cannot apply rule “perfect ∧ strange ⇒ disobedient” because missing: perfect, strange.
Cannot apply rule “hypocritical ∧ impatient ∧ perfect ⇒ disobedient” because missing: hypocritical, impatient, perfect.
Cannot apply rule “perfect ∧ impatient ⇒ disobedient” because missing: perfect, impatient.
| 0 | 3 |
Facts: Batman is perfect [PERIOD] Batman is inquisitive [PERIOD] Batman is strange [PERIOD]
Rules:
perfect [AND] hypocritical [AND] strange [IMPLY] horrible [PERIOD]
troubled [IMPLY] old-fashioned [PERIOD]
strange [AND] cute [AND] horrible [IMPLY] inquisitive [PERIOD]
proud [AND] perfect [AND] cute [IMPLY] strange [PE... | Proof chain:
Cannot apply rule “horrible ∧ supportive ∧ selfish ⇒ hypocritical” because missing: horrible, supportive, selfish.
Cannot apply rule “tense ∧ inquisitive ⇒ hypocritical” because missing: tense.
Cannot apply rule “lonely ⇒ hypocritical” because missing: lonely.
| 0 | 3 |
Facts: Batman is talented [PERIOD] Batman is aggressive [PERIOD] Batman is comfortable [PERIOD] Batman is zealous [PERIOD]
Rules:
difficult [AND] zealous [AND] wandering [IMPLY] disgusted [PERIOD]
grumpy [AND] talented [AND] disgusted [IMPLY] aggressive [PERIOD]
quaint [IMPLY] disgusted [PERIOD]
quaint [IMPLY] wanderi... | Proof chain:
aggressive ⇒ wandering
aggressive ∧ zealous ⇒ grumpy
wandering ∧ grumpy ⇒ adorable
| 1 | 3 |
Facts: Batman is difficult [PERIOD] Batman is strange [PERIOD]
Rules:
hilarious [AND] reserved [AND] easy [IMPLY] gleaming [PERIOD]
modern [AND] helpless [IMPLY] frightened [PERIOD]
shiny [IMPLY] lonely [PERIOD]
inexpensive [AND] distinct [IMPLY] precious [PERIOD]
victorious [AND] precious [AND] tense [IMPLY] foolish ... | Proof chain:
difficult ⇒ lonely
strange ⇒ gleaming
Cannot apply rule “lonely ∧ gleaming ∧ naughty ⇒ easy” because missing: naughty.
| 0 | 3 |
Facts: Batman is tame [PERIOD] Batman is fine [PERIOD]
Rules:
versatile [AND] fine [IMPLY] tame [PERIOD]
polite [AND] straightforward [AND] charming [IMPLY] jittery [PERIOD]
quaint [AND] hypocritical [IMPLY] charming [PERIOD]
clean [AND] confused [IMPLY] comfortable [PERIOD]
polite [AND] stupid [IMPLY] straightforward... | Proof chain:
tame ⇒ disgusted
disgusted ⇒ gleaming
gleaming ⇒ clean
| 1 | 3 |
Facts: Batman is polite [PERIOD]
Rules:
light [AND] sensible [AND] homely [IMPLY] bossy [PERIOD]
bossy [AND] homely [IMPLY] sensible [PERIOD]
light [IMPLY] bossy [PERIOD]
bossy [AND] light [AND] polite [IMPLY] homely [PERIOD]
polite [IMPLY] light [PERIOD]
polite [AND] homely [IMPLY] sensible [PERIOD]
bossy [AND] homel... | Proof chain:
polite ⇒ light
light ⇒ bossy
bossy ⇒ sensible
| 1 | 3 |
Facts: Batman is mean [PERIOD] Batman is perfect [PERIOD] Batman is confident [PERIOD] Batman is nervous [PERIOD] Batman is mysterious [PERIOD] Batman is pleasant [PERIOD]
Rules:
frantic [IMPLY] joyous [PERIOD]
glamorous [AND] confident [AND] nervous [IMPLY] elated [PERIOD]
thoughtful [AND] reserved [AND] frantic [IMP... | Proof chain:
nervous ⇒ glamorous
glamorous ∧ confident ∧ nervous ⇒ elated
elated ⇒ hilarious
| 1 | 3 |
Facts: Batman is weary [PERIOD] Batman is condemned [PERIOD]
Rules:
thoughtless [IMPLY] witty [PERIOD]
pessimistic [AND] inquisitive [AND] inexpensive [IMPLY] combative [PERIOD]
disgusted [AND] gleaming [IMPLY] popular [PERIOD]
pessimistic [AND] combative [AND] inquisitive [IMPLY] fragile [PERIOD]
agreeable [AND] inex... | Proof chain:
weary ⇒ supportive
supportive ⇒ witty
witty ⇒ stubborn
| 1 | 3 |
Facts:
Rules:
gleaming [AND] sensible [IMPLY] excited [PERIOD]
mean [AND] lonely [AND] thoughtless [IMPLY] difficult [PERIOD]
excited [AND] impatient [IMPLY] sensible [PERIOD]
charming [AND] mean [AND] sensible [IMPLY] spotless [PERIOD]
mean [IMPLY] attractive [PERIOD]
gleaming [AND] excited [AND] mean [IMPLY] difficu... | Proof chain:
Cannot apply rule “difficult ⇒ impatient” because missing: difficult.
Cannot apply rule “selfish ⇒ impatient” because missing: selfish.
Cannot apply rule “wandering ∧ difficult ⇒ impatient” because missing: wandering, difficult.
| 0 | 3 |
Facts: Batman is joyous [PERIOD] Batman is confident [PERIOD]
Rules:
helpless [IMPLY] hilarious [PERIOD]
gifted [IMPLY] stupid [PERIOD]
tame [AND] worried [AND] helpless [IMPLY] lucky [PERIOD]
dishonest [IMPLY] sensible [PERIOD]
stupid [AND] helpless [IMPLY] popular [PERIOD]
helpless [AND] sensible [AND] weary [IMPLY]... | Proof chain:
Cannot apply rule “enchanting ⇒ blushing” because missing: enchanting.
Cannot apply rule “outstanding ∧ joyous ∧ confident ⇒ blushing” because missing: outstanding.
Cannot apply rule “confident ∧ tame ⇒ blushing” because missing: tame.
| 0 | 3 |
Facts: Batman is sincere [PERIOD] Batman is modern [PERIOD] Batman is shy [PERIOD] Batman is careless [PERIOD] Batman is bored [PERIOD] Batman is outstanding [PERIOD]
Rules:
sincere [AND] modern [AND] stormy [IMPLY] pessimistic [PERIOD]
tense [AND] shy [AND] bored [IMPLY] outstanding [PERIOD]
sincere [AND] frantic [AN... | Proof chain:
careless ⇒ stormy
bored ∧ stormy ⇒ thoughtless
thoughtless ∧ shy ⇒ tense
| 1 | 3 |
Facts: Batman is easy [PERIOD] Batman is worrisome [PERIOD] Batman is bright [PERIOD]
Rules:
frightened [AND] selfish [IMPLY] attractive [PERIOD]
outstanding [AND] worrisome [IMPLY] attractive [PERIOD]
attractive [AND] outstanding [AND] easy [IMPLY] condemned [PERIOD]
blushing [AND] inquisitive [AND] easy [IMPLY] cond... | Proof chain:
easy ∧ bright ⇒ excited
easy ∧ excited ⇒ talented
talented ⇒ outstanding
| 1 | 3 |
Facts: Batman is thoughtful [PERIOD] Batman is shiny [PERIOD] Batman is lonely [PERIOD] Batman is good [PERIOD] Batman is powerful [PERIOD] Batman is smart [PERIOD] Batman is vivacious [PERIOD] Batman is cooperative [PERIOD]
Rules:
uptight [IMPLY] inexpensive [PERIOD]
good [AND] uptight [AND] thoughtful [IMPLY] gorgeo... | Proof chain:
smart ⇒ gorgeous
smart ⇒ excited
cooperative ∧ gorgeous ∧ excited ⇒ difficult
| 1 | 3 |
Facts:
Rules:
cooperative [AND] amused [IMPLY] busy [PERIOD]
busy [AND] cooperative [IMPLY] amused [PERIOD]
amused [AND] busy [AND] cooperative [IMPLY] versatile [PERIOD]
amused [AND] adorable [AND] busy [IMPLY] versatile [PERIOD]
versatile [AND] amused [IMPLY] busy [PERIOD]
cooperative [AND] adorable [IMPLY] amused [... | Proof chain:
Cannot apply rule “amused ∧ busy ∧ cooperative ⇒ versatile” because missing: amused, busy, cooperative.
Cannot apply rule “amused ∧ adorable ∧ busy ⇒ versatile” because missing: amused, adorable, busy.
Cannot apply rule “cooperative ∧ amused ⇒ versatile” because missing: cooperative, amused.
| 0 | 3 |
Facts: Batman is modern [PERIOD] Batman is quaint [PERIOD] Batman is tense [PERIOD] Batman is powerful [PERIOD] Batman is intellectual [PERIOD]
Rules:
worrisome [AND] intellectual [AND] hilarious [IMPLY] muddy [PERIOD]
combative [AND] quaint [IMPLY] light [PERIOD]
jittery [IMPLY] powerful [PERIOD]
quaint [IMPLY] power... | Proof chain:
Cannot apply rule “jittery ⇒ hilarious” because missing: jittery.
modern ⇒ worrisome
Cannot apply rule “tense ∧ homely ∧ worrisome ⇒ hilarious” because missing: homely.
| 0 | 3 |
Facts: Batman is hilarious [PERIOD] Batman is ambitious [PERIOD] Batman is sensible [PERIOD]
Rules:
alert [IMPLY] stormy [PERIOD]
rude [AND] lucky [AND] blushing [IMPLY] stormy [PERIOD]
blushing [AND] crowded [AND] courageous [IMPLY] victorious [PERIOD]
alert [IMPLY] adorable [PERIOD]
impatient [IMPLY] crowded [PERIOD... | Proof chain:
sensible ⇒ courageous
courageous ⇒ alert
alert ⇒ stormy
| 1 | 3 |
Facts:
Rules:
straightforward [AND] excited [IMPLY] reserved [PERIOD]
impartial [IMPLY] impatient [PERIOD]
worried [AND] polite [AND] spotless [IMPLY] aggressive [PERIOD]
easy [AND] worried [IMPLY] helpless [PERIOD]
worried [AND] spotless [IMPLY] polite [PERIOD]
worried [AND] smart [AND] clumsy [IMPLY] easy [PERIOD]
r... | Proof chain:
Cannot apply rule “aggressive ∧ reserved ∧ worried ⇒ spotless” because missing: aggressive, reserved, worried.
Cannot apply rule “impartial ⇒ spotless” because missing: impartial.
Cannot apply rule “shiny ⇒ spotless” because missing: shiny.
| 0 | 3 |
Facts: Batman is intellectual [PERIOD] Batman is amused [PERIOD] Batman is powerful [PERIOD]
Rules:
attractive [AND] crowded [IMPLY] shy [PERIOD]
vivacious [AND] adorable [AND] popular [IMPLY] stubborn [PERIOD]
intellectual [AND] clumsy [AND] victorious [IMPLY] talkative [PERIOD]
popular [IMPLY] jittery [PERIOD]
cruel... | Proof chain:
powerful ⇒ jittery
jittery ⇒ stubborn
stubborn ⇒ frail
| 1 | 3 |
Facts: Batman is wide-eyed [PERIOD] Batman is plain [PERIOD] Batman is enchanting [PERIOD] Batman is silly [PERIOD] Batman is average [PERIOD] Batman is fearless [PERIOD] Batman is exuberant [PERIOD] Batman is beautiful [PERIOD] Batman is strange [PERIOD] Batman is adorable [PERIOD]
Rules:
crowded [IMPLY] attractive [... | Proof chain:
adorable ⇒ blushing
strange ∧ blushing ⇒ crowded
crowded ⇒ attractive
| 1 | 3 |
Facts: Batman is anxious [PERIOD] Batman is helpless [PERIOD] Batman is fancy [PERIOD] Batman is tense [PERIOD] Batman is frightened [PERIOD] Batman is difficult [PERIOD] Batman is wide-eyed [PERIOD] Batman is wandering [PERIOD] Batman is aggressive [PERIOD] Batman is busy [PERIOD] Batman is messy [PERIOD] Batman is a... | Proof chain:
Cannot apply rule “wide-eyed ∧ lucky ∧ frightened ⇒ cute” because missing: lucky.
Cannot apply rule “confused ∧ anxious ∧ fragile ⇒ cute” because missing: confused, fragile.
Cannot apply rule “fancy ∧ fragile ∧ frightened ⇒ cute” because missing: fragile.
| 0 | 3 |
Facts: Batman is powerful [PERIOD] Batman is intellectual [PERIOD] Batman is proud [PERIOD] Batman is combative [PERIOD] Batman is hypocritical [PERIOD] Batman is thoughtless [PERIOD] Batman is tender [PERIOD] Batman is busy [PERIOD]
Rules:
hypocritical [IMPLY] anxious [PERIOD]
inquisitive [AND] smart [AND] precious [... | Proof chain:
busy ∧ proud ⇒ cooperative
hypocritical ⇒ anxious
cooperative ∧ anxious ∧ combative ⇒ precious
| 1 | 3 |
Facts: Batman is friendly [PERIOD] Batman is naughty [PERIOD] Batman is elegant [PERIOD] Batman is broad-minded [PERIOD] Batman is pessimistic [PERIOD] Batman is versatile [PERIOD] Batman is dull [PERIOD] Batman is scared [PERIOD] Batman is popular [PERIOD]
Rules:
friendly [AND] naughty [AND] versatile [IMPLY] popular... | Proof chain:
friendly ∧ pessimistic ∧ versatile ⇒ strange
dull ∧ strange ⇒ frantic
versatile ∧ broad-minded ∧ frantic ⇒ disobedient
| 1 | 3 |
Facts: Batman is agreeable [PERIOD] Batman is difficult [PERIOD]
Rules:
exuberant [AND] agreeable [IMPLY] lucky [PERIOD]
busy [AND] disobedient [AND] lucky [IMPLY] horrible [PERIOD]
hilarious [AND] attentive [AND] exuberant [IMPLY] precious [PERIOD]
agreeable [AND] inexpensive [IMPLY] exuberant [PERIOD]
disobedient [A... | Proof chain:
Cannot apply rule “blushing ∧ impartial ⇒ wide-eyed” because missing: blushing, impartial.
agreeable ⇒ busy
Cannot apply rule “busy ∧ difficult ∧ precious ⇒ wide-eyed” because missing: precious.
| 0 | 3 |
Facts: Batman is worried [PERIOD] Batman is stormy [PERIOD]
Rules:
stormy [IMPLY] silly [PERIOD]
shiny [IMPLY] ugly [PERIOD]
attentive [AND] silly [IMPLY] fine [PERIOD]
impartial [AND] fine [AND] thoughtful [IMPLY] bright [PERIOD]
scared [AND] diplomatic [AND] unpleasant [IMPLY] ugly [PERIOD]
wide-eyed [AND] scared [I... | Proof chain:
worried ⇒ distinct
distinct ⇒ shiny
shiny ⇒ ugly
| 1 | 3 |
Facts: Batman is rational [PERIOD]
Rules:
horrible [IMPLY] powerful [PERIOD]
rational [AND] bad-tempered [AND] famous [IMPLY] modern [PERIOD]
horrible [IMPLY] confused [PERIOD]
impartial [IMPLY] helpful [PERIOD]
bad-tempered [AND] worried [IMPLY] plain [PERIOD]
adorable [AND] plain [IMPLY] frantic [PERIOD]
outrageous ... | Proof chain:
Cannot apply rule “powerful ∧ wrong ⇒ combative” because missing: powerful, wrong.
Cannot apply rule “plain ∧ impartial ∧ polite ⇒ combative” because missing: plain, impartial, polite.
Cannot apply rule “frantic ∧ plain ∧ worried ⇒ combative” because missing: frantic, plain, worried.
| 0 | 3 |
Facts: Batman is ambitious [PERIOD] Batman is tender [PERIOD] Batman is cooperative [PERIOD] Batman is fearless [PERIOD] Batman is rational [PERIOD] Batman is attractive [PERIOD] Batman is frantic [PERIOD]
Rules:
strange [AND] tender [AND] hypocritical [IMPLY] tired [PERIOD]
wide-eyed [AND] inexpensive [AND] lucky [IM... | Proof chain:
Cannot apply rule “tender ∧ innocent ∧ wide-eyed ⇒ courageous” because missing: innocent, wide-eyed.
Cannot apply rule “stubborn ∧ innocent ∧ tired ⇒ courageous” because missing: stubborn, innocent, tired.
Cannot apply rule “stubborn ∧ disgusted ∧ dull ⇒ courageous” because missing: stubborn, disg... | 0 | 3 |
Facts: Batman is muddy [PERIOD] Batman is friendly [PERIOD] Batman is helpful [PERIOD] Batman is hypocritical [PERIOD] Batman is embarrassed [PERIOD] Batman is messy [PERIOD]
Rules:
friendly [AND] hypocritical [AND] messy [IMPLY] alert [PERIOD]
spotless [AND] worried [AND] ugly [IMPLY] loving [PERIOD]
hypocritical [AN... | Proof chain:
embarrassed ⇒ agreeable
embarrassed ∧ agreeable ∧ helpful ⇒ mysterious
mysterious ⇒ worrisome
| 1 | 3 |
Facts:
Rules:
cute [IMPLY] popular [PERIOD]
average [IMPLY] frantic [PERIOD]
clean [AND] hurt [AND] famous [IMPLY] average [PERIOD]
powerful [AND] popular [IMPLY] average [PERIOD]
average [AND] wandering [AND] hurt [IMPLY] famous [PERIOD]
busy [AND] famous [AND] popular [IMPLY] exuberant [PERIOD]
frantic [IMPLY] avera... | Proof chain:
Cannot apply rule “busy ∧ famous ∧ popular ⇒ exuberant” because missing: busy, famous, popular.
Cannot apply rule “famous ∧ excited ⇒ exuberant” because missing: famous, excited.
Cannot apply rule “wandering ∧ clean ∧ busy ⇒ exuberant” because missing: wandering, clean, busy.
| 0 | 3 |
Facts:
Rules:
gifted [IMPLY] confused [PERIOD]
gifted [IMPLY] clumsy [PERIOD]
ambitious [AND] wide-eyed [AND] confused [IMPLY] gifted [PERIOD]
confused [IMPLY] thoughtful [PERIOD]
thoughtful [IMPLY] gifted [PERIOD]
cute [AND] fine [AND] ambitious [IMPLY] gifted [PERIOD]
thoughtful [IMPLY] confused [PERIOD]
wide-eyed [... | Proof chain:
Cannot apply rule “gifted ⇒ wide-eyed” because missing: gifted.
Cannot apply rule “clumsy ∧ thoughtful ⇒ wide-eyed” because missing: clumsy, thoughtful.
Cannot apply rule “confused ∧ gifted ⇒ wide-eyed” because missing: confused, gifted.
| 0 | 3 |
Facts:
Rules:
good [AND] embarrassed [IMPLY] confused [PERIOD]
embarrassed [AND] pleasant [AND] reserved [IMPLY] attractive [PERIOD]
crowded [AND] impartial [IMPLY] gifted [PERIOD]
attractive [AND] gifted [IMPLY] confused [PERIOD]
attractive [IMPLY] frantic [PERIOD]
old-fashioned [AND] wandering [IMPLY] courageous [PE... | Proof chain:
Cannot apply rule “good ∧ embarrassed ⇒ confused” because missing: good, embarrassed.
Cannot apply rule “attractive ∧ gifted ⇒ confused” because missing: attractive, gifted.
Cannot apply rule “crowded ∧ talkative ∧ inquisitive ⇒ confused” because missing: crowded, talkative, inquisitive.
| 0 | 3 |
Facts: Batman is inexpensive [PERIOD] Batman is bossy [PERIOD] Batman is scared [PERIOD] Batman is messy [PERIOD] Batman is gleaming [PERIOD]
Rules:
modern [AND] easy [AND] polite [IMPLY] supportive [PERIOD]
polite [IMPLY] supportive [PERIOD]
polite [AND] sleepy [IMPLY] messy [PERIOD]
easy [IMPLY] enchanting [PERIOD]
... | Proof chain:
inexpensive ⇒ curious
scared ⇒ sleepy
curious ∧ messy ∧ sleepy ⇒ naughty
| 1 | 3 |
Facts: Batman is supportive [PERIOD]
Rules:
outrageous [IMPLY] vivacious [PERIOD]
silly [AND] loving [IMPLY] dull [PERIOD]
supportive [IMPLY] strange [PERIOD]
silly [AND] vivacious [AND] strange [IMPLY] outrageous [PERIOD]
frantic [IMPLY] smart [PERIOD]
supportive [AND] strange [IMPLY] lucky [PERIOD]
silly [AND] dull ... | Proof chain:
supportive ⇒ strange
strange ⇒ outrageous
outrageous ⇒ vivacious
| 1 | 3 |
Facts: Batman is straightforward [PERIOD]
Rules:
adorable [IMPLY] dishonest [PERIOD]
straightforward [AND] scared [IMPLY] frail [PERIOD]
charming [AND] scared [IMPLY] aggressive [PERIOD]
aggressive [AND] grumpy [AND] dishonest [IMPLY] adorable [PERIOD]
modern [IMPLY] adorable [PERIOD]
diplomatic [AND] scared [AND] cha... | Proof chain:
Cannot apply rule “aggressive ∧ grumpy ∧ dishonest ⇒ adorable” because missing: aggressive, grumpy, dishonest.
Cannot apply rule “modern ⇒ adorable” because missing: modern.
Cannot apply rule “fancy ∧ dishonest ∧ scared ⇒ adorable” because missing: fancy, dishonest, scared.
| 0 | 3 |
Facts: Batman is worrisome [PERIOD] Batman is inexpensive [PERIOD] Batman is jittery [PERIOD] Batman is uptight [PERIOD] Batman is ambitious [PERIOD] Batman is bright [PERIOD] Batman is diplomatic [PERIOD]
Rules:
diplomatic [IMPLY] blushing [PERIOD]
busy [IMPLY] outstanding [PERIOD]
inexpensive [AND] disgusted [IMPLY]... | Proof chain:
diplomatic ⇒ blushing
blushing ⇒ outstanding
jittery ∧ outstanding ⇒ sensible
| 1 | 3 |
Facts:
Rules:
gleaming [AND] silly [AND] clumsy [IMPLY] cruel [PERIOD]
thoughtless [AND] cruel [IMPLY] gleaming [PERIOD]
cruel [IMPLY] fancy [PERIOD]
fancy [IMPLY] diplomatic [PERIOD]
diplomatic [AND] gleaming [IMPLY] cruel [PERIOD]
thoughtless [IMPLY] cruel [PERIOD]
thoughtless [IMPLY] clumsy [PERIOD]
cruel [IMPLY] m... | Proof chain:
Cannot apply rule “gleaming ∧ silly ∧ clumsy ⇒ cruel” because missing: gleaming, silly, clumsy.
Cannot apply rule “diplomatic ∧ gleaming ⇒ cruel” because missing: diplomatic, gleaming.
Cannot apply rule “thoughtless ⇒ cruel” because missing: thoughtless.
| 0 | 3 |
Facts: Batman is fancy [PERIOD] Batman is vivacious [PERIOD]
Rules:
sleepy [AND] dull [IMPLY] fancy [PERIOD]
silly [IMPLY] fancy [PERIOD]
dull [IMPLY] unpleasant [PERIOD]
sleepy [AND] charming [AND] unpleasant [IMPLY] fancy [PERIOD]
fancy [IMPLY] vivacious [PERIOD]
sleepy [AND] vivacious [IMPLY] dull [PERIOD]
dull [IM... | Proof chain:
fancy ⇒ silly
silly ⇒ dull
dull ⇒ charming
| 1 | 3 |
Facts: Batman is shy [PERIOD] Batman is confident [PERIOD] Batman is exuberant [PERIOD] Batman is quaint [PERIOD] Batman is cooperative [PERIOD] Batman is helpful [PERIOD] Batman is gorgeous [PERIOD] Batman is frail [PERIOD] Batman is disobedient [PERIOD] Batman is popular [PERIOD] Batman is serious [PERIOD] Batman is... | Proof chain:
disobedient ⇒ perfect
exuberant ⇒ plain
perfect ∧ quaint ∧ plain ⇒ worrisome
| 1 | 3 |
Facts: Batman is anxious [PERIOD] Batman is tender [PERIOD] Batman is zealous [PERIOD] Batman is exuberant [PERIOD] Batman is stormy [PERIOD] Batman is frantic [PERIOD] Batman is fearless [PERIOD]
Rules:
anxious [AND] muddy [AND] exuberant [IMPLY] foolish [PERIOD]
anxious [IMPLY] careless [PERIOD]
impartial [AND] fear... | Proof chain:
anxious ⇒ careless
frantic ⇒ witty
careless ∧ zealous ∧ witty ⇒ impartial
| 1 | 3 |
Facts: Batman is wrong [PERIOD] Batman is calm [PERIOD]
Rules:
talkative [AND] anxious [AND] wrong [IMPLY] zealous [PERIOD]
zealous [AND] calm [AND] ugly [IMPLY] talkative [PERIOD]
average [AND] anxious [AND] ugly [IMPLY] zealous [PERIOD]
calm [AND] worrisome [IMPLY] ugly [PERIOD]
ugly [AND] anxious [AND] calm [IMPLY]... | Proof chain:
Cannot apply rule “zealous ∧ calm ∧ ugly ⇒ talkative” because missing: zealous, ugly.
Cannot apply rule “gorgeous ∧ zealous ∧ worrisome ⇒ talkative” because missing: gorgeous, zealous, worrisome.
Cannot apply rule “anxious ⇒ talkative” because missing: anxious.
| 0 | 3 |
Facts: Batman is worrisome [PERIOD] Batman is precious [PERIOD] Batman is attractive [PERIOD] Batman is gifted [PERIOD]
Rules:
exuberant [AND] worrisome [IMPLY] courageous [PERIOD]
attractive [AND] exuberant [IMPLY] wandering [PERIOD]
exuberant [IMPLY] attractive [PERIOD]
attractive [AND] elated [IMPLY] exuberant [PER... | Proof chain:
Cannot apply rule “exuberant ∧ worrisome ⇒ courageous” because missing: exuberant.
Cannot apply rule “exuberant ⇒ courageous” because missing: exuberant.
Cannot apply rule “attractive ∧ elated ⇒ courageous” because missing: elated.
| 0 | 3 |
Facts: Batman is uptight [PERIOD] Batman is elegant [PERIOD]
Rules:
cruel [IMPLY] plain [PERIOD]
rude [AND] plain [AND] impatient [IMPLY] uptight [PERIOD]
impatient [AND] loving [AND] uptight [IMPLY] rude [PERIOD]
loving [AND] uptight [AND] elegant [IMPLY] impatient [PERIOD]
rude [AND] mean [AND] plain [IMPLY] cruel [... | Proof chain:
elegant ⇒ cruel
cruel ⇒ plain
plain ⇒ mean
| 1 | 3 |
Facts: Batman is gorgeous [PERIOD] Batman is innocent [PERIOD] Batman is precious [PERIOD] Batman is bad-tempered [PERIOD] Batman is beautiful [PERIOD] Batman is alert [PERIOD] Batman is reserved [PERIOD] Batman is thoughtless [PERIOD] Batman is supportive [PERIOD] Batman is fearless [PERIOD]
Rules:
reserved [AND] tam... | Proof chain:
alert ∧ reserved ∧ gorgeous ⇒ messy
alert ∧ messy ⇒ homely
homely ⇒ confident
| 1 | 3 |
Facts: Batman is helpless [PERIOD] Batman is perfect [PERIOD]
Rules:
inexpensive [AND] helpless [IMPLY] muddy [PERIOD]
gifted [IMPLY] helpless [PERIOD]
gifted [AND] muddy [IMPLY] hurt [PERIOD]
perfect [AND] wrong [IMPLY] rational [PERIOD]
helpless [AND] rational [IMPLY] attractive [PERIOD]
inexpensive [AND] unpleasant... | Proof chain:
helpless ⇒ inexpensive
inexpensive ⇒ hurt
perfect ∧ hurt ⇒ rational
| 1 | 3 |
Facts: Batman is shy [PERIOD] Batman is cooperative [PERIOD] Batman is strange [PERIOD] Batman is wrong [PERIOD] Batman is gorgeous [PERIOD] Batman is selfish [PERIOD]
Rules:
gorgeous [AND] modern [AND] grumpy [IMPLY] distinct [PERIOD]
courageous [IMPLY] impatient [PERIOD]
gorgeous [IMPLY] enchanting [PERIOD]
selfish ... | Proof chain:
gorgeous ⇒ modern
wrong ⇒ courageous
modern ∧ courageous ⇒ messy
| 1 | 3 |
Facts: Batman is busy [PERIOD] Batman is reserved [PERIOD] Batman is muddy [PERIOD]
Rules:
cooperative [AND] cruel [IMPLY] busy [PERIOD]
cruel [AND] cooperative [AND] hilarious [IMPLY] proud [PERIOD]
hilarious [IMPLY] talkative [PERIOD]
busy [AND] muddy [IMPLY] ugliest [PERIOD]
ugliest [AND] busy [AND] cooperative [IM... | Proof chain:
busy ∧ muddy ⇒ ugliest
muddy ∧ busy ∧ ugliest ⇒ hilarious
hilarious ⇒ talkative
| 1 | 3 |
Facts:
Rules:
jittery [AND] rude [IMPLY] confident [PERIOD]
plain [AND] jittery [IMPLY] condemned [PERIOD]
foolish [AND] confident [IMPLY] rude [PERIOD]
condemned [AND] gorgeous [AND] foolish [IMPLY] jittery [PERIOD]
confident [AND] plain [IMPLY] ugliest [PERIOD]
foolish [AND] rude [AND] confident [IMPLY] plain [PERIO... | Proof chain:
Cannot apply rule “foolish ∧ confident ⇒ rude” because missing: foolish, confident.
Cannot apply rule “confident ∧ gorgeous ∧ plain ⇒ rude” because missing: confident, gorgeous, plain.
Cannot apply rule “plain ∧ ugliest ⇒ rude” because missing: plain, ugliest.
| 0 | 3 |
Facts: Batman is tired [PERIOD] Batman is witty [PERIOD] Batman is enchanting [PERIOD] Batman is outrageous [PERIOD] Batman is perfect [PERIOD] Batman is unpleasant [PERIOD] Batman is wide-eyed [PERIOD] Batman is spotless [PERIOD] Batman is ugliest [PERIOD]
Rules:
spotless [AND] fearless [AND] perfect [IMPLY] unpleasa... | Proof chain:
outrageous ⇒ adorable
adorable ⇒ excited
spotless ∧ excited ⇒ horrible
| 1 | 3 |
Facts:
Rules:
nervous [IMPLY] clean [PERIOD]
pessimistic [AND] wandering [IMPLY] wide-eyed [PERIOD]
excited [AND] frantic [IMPLY] condemned [PERIOD]
helpful [AND] wandering [IMPLY] sensible [PERIOD]
condemned [AND] careless [AND] wide-eyed [IMPLY] frantic [PERIOD]
clean [AND] careless [AND] frantic [IMPLY] nervous [PE... | Proof chain:
Cannot apply rule “pessimistic ∧ wandering ⇒ wide-eyed” because missing: pessimistic, wandering.
Cannot apply rule “curious ∧ wandering ⇒ wide-eyed” because missing: curious, wandering.
Cannot apply rule “pessimistic ∧ careless ⇒ wide-eyed” because missing: pessimistic, careless.
| 0 | 3 |
Facts: Batman is elated [PERIOD] Batman is wide-eyed [PERIOD] Batman is smart [PERIOD] Batman is glamorous [PERIOD] Batman is exuberant [PERIOD] Batman is friendly [PERIOD]
Rules:
joyous [AND] talented [IMPLY] versatile [PERIOD]
impartial [IMPLY] agreeable [PERIOD]
agreeable [AND] elegant [AND] joyous [IMPLY] victorio... | Proof chain:
Cannot apply rule “joyous ∧ talented ⇒ versatile” because missing: joyous, talented.
wide-eyed ⇒ gleaming
Cannot apply rule “gleaming ∧ perfect ∧ friendly ⇒ versatile” because missing: perfect.
| 0 | 3 |
Facts:
Rules:
tired [AND] inexpensive [IMPLY] worried [PERIOD]
tender [AND] attractive [IMPLY] tired [PERIOD]
gorgeous [IMPLY] tired [PERIOD]
worried [IMPLY] tired [PERIOD]
tired [IMPLY] tender [PERIOD]
worried [AND] inexpensive [AND] tender [IMPLY] attractive [PERIOD]
tender [IMPLY] worried [PERIOD]
attractive [IMPLY... | Proof chain:
Cannot apply rule “tired ∧ attractive ⇒ gorgeous” because missing: tired, attractive.
Cannot apply rule “worried ∧ attractive ∧ tired ⇒ gorgeous” because missing: worried, attractive, tired.
Cannot apply rule “attractive ⇒ gorgeous” because missing: attractive.
| 0 | 3 |
Facts: Batman is agreeable [PERIOD] Batman is friendly [PERIOD] Batman is outrageous [PERIOD]
Rules:
ugliest [AND] distinct [IMPLY] inexpensive [PERIOD]
glamorous [AND] tidy [IMPLY] tired [PERIOD]
light [AND] inquisitive [IMPLY] impartial [PERIOD]
stupid [AND] impartial [IMPLY] distinct [PERIOD]
friendly [AND] glamoro... | Proof chain:
outrageous ⇒ tense
tense ⇒ fearless
fearless ⇒ enchanting
| 1 | 3 |
Facts: Batman is frantic [PERIOD] Batman is careless [PERIOD] Batman is combative [PERIOD] Batman is curious [PERIOD] Batman is diplomatic [PERIOD]
Rules:
talkative [IMPLY] shy [PERIOD]
frantic [AND] combative [IMPLY] spotless [PERIOD]
amused [AND] witty [AND] shy [IMPLY] careless [PERIOD]
curious [AND] ugliest [IMPLY... | Proof chain:
frantic ⇒ shy
shy ∧ careless ∧ diplomatic ⇒ proud
Cannot apply rule “proud ∧ jittery ⇒ ugliest” because missing: jittery.
| 0 | 3 |
Facts: Batman is thoughtful [PERIOD]
Rules:
adorable [IMPLY] light [PERIOD]
homely [AND] adorable [IMPLY] sincere [PERIOD]
sincere [AND] thoughtful [IMPLY] adorable [PERIOD]
sincere [IMPLY] thoughtful [PERIOD]
light [IMPLY] talkative [PERIOD]
talkative [IMPLY] sincere [PERIOD]
talkative [AND] thoughtful [IMPLY] light ... | Proof chain:
Cannot apply rule “homely ∧ adorable ⇒ sincere” because missing: homely, adorable.
Cannot apply rule “talkative ⇒ sincere” because missing: talkative.
Cannot apply rule “thoughtful ∧ adorable ⇒ sincere” because missing: adorable.
| 0 | 3 |
Facts: Batman is fine [PERIOD] Batman is naughty [PERIOD] Batman is impatient [PERIOD] Batman is rational [PERIOD] Batman is frantic [PERIOD]
Rules:
busy [IMPLY] cruel [PERIOD]
cruel [AND] naughty [IMPLY] fine [PERIOD]
distinct [IMPLY] adorable [PERIOD]
fine [AND] loving [IMPLY] adorable [PERIOD]
gleaming [IMPLY] gift... | Proof chain:
rational ⇒ distinct
distinct ⇒ helpless
helpless ⇒ dishonest
| 1 | 3 |
Facts: Batman is gleaming [PERIOD] Batman is disobedient [PERIOD] Batman is naughty [PERIOD] Batman is unpleasant [PERIOD] Batman is thoughtless [PERIOD] Batman is attentive [PERIOD] Batman is easy [PERIOD] Batman is attractive [PERIOD] Batman is serious [PERIOD] Batman is wrong [PERIOD] Batman is hypocritical [PERIOD... | Proof chain:
attentive ⇒ bored
frightened ∧ serious ∧ hypocritical ⇒ disgusted
bored ∧ disgusted ⇒ helpless
| 1 | 3 |
Facts:
Rules:
excited [AND] shy [IMPLY] easy [PERIOD]
silly [AND] joyous [AND] mean [IMPLY] excited [PERIOD]
joyous [AND] easy [AND] mean [IMPLY] excited [PERIOD]
joyous [IMPLY] excited [PERIOD]
grumpy [AND] excited [AND] shy [IMPLY] joyous [PERIOD]
mean [IMPLY] calm [PERIOD]
grumpy [AND] witty [AND] silly [IMPLY] cal... | Proof chain:
Cannot apply rule “mean ⇒ calm” because missing: mean.
Cannot apply rule “grumpy ∧ witty ∧ silly ⇒ calm” because missing: grumpy, witty, silly.
Cannot apply rule “shy ∧ grumpy ∧ wandering ⇒ calm” because missing: shy, grumpy, wandering.
| 0 | 3 |
Facts: Batman is wide-eyed [PERIOD]
Rules:
tidy [AND] fine [AND] wide-eyed [IMPLY] disobedient [PERIOD]
wide-eyed [AND] victorious [AND] tidy [IMPLY] disobedient [PERIOD]
hurt [IMPLY] disobedient [PERIOD]
wide-eyed [AND] victorious [IMPLY] tidy [PERIOD]
disobedient [AND] tidy [IMPLY] wide-eyed [PERIOD]
troubled [IMPLY... | Proof chain:
Cannot apply rule “tidy ∧ fine ∧ wide-eyed ⇒ disobedient” because missing: tidy, fine.
Cannot apply rule “wide-eyed ∧ victorious ∧ tidy ⇒ disobedient” because missing: victorious, tidy.
Cannot apply rule “hurt ⇒ disobedient” because missing: hurt.
| 0 | 3 |
Facts: Batman is innocent [PERIOD] Batman is frightened [PERIOD] Batman is weary [PERIOD]
Rules:
frightened [AND] muddy [AND] difficult [IMPLY] aggressive [PERIOD]
frightened [IMPLY] weary [PERIOD]
frightened [AND] polite [IMPLY] difficult [PERIOD]
frightened [IMPLY] bright [PERIOD]
polite [AND] bright [IMPLY] elated ... | Proof chain:
frightened ⇒ bright
weary ⇒ aggressive
bright ∧ aggressive ⇒ muddy
| 1 | 3 |
Facts: Batman is shiny [PERIOD] Batman is cruel [PERIOD] Batman is comfortable [PERIOD] Batman is ugly [PERIOD]
Rules:
tense [AND] comfortable [AND] gorgeous [IMPLY] combative [PERIOD]
tense [AND] selfish [IMPLY] confused [PERIOD]
tense [AND] selfish [AND] comfortable [IMPLY] anxious [PERIOD]
combative [IMPLY] cruel [... | Proof chain:
Cannot apply rule “selfish ∧ combative ∧ outrageous ⇒ clean” because missing: selfish, combative, outrageous.
Cannot apply rule “shiny ∧ anxious ⇒ clean” because missing: anxious.
Cannot apply rule “impartial ∧ combative ∧ outrageous ⇒ clean” because missing: impartial, combative, outrageous.
| 0 | 3 |
Facts: Batman is shiny [PERIOD] Batman is innocent [PERIOD] Batman is intellectual [PERIOD] Batman is impartial [PERIOD] Batman is versatile [PERIOD] Batman is straightforward [PERIOD] Batman is mean [PERIOD] Batman is nervous [PERIOD] Batman is foolish [PERIOD] Batman is joyous [PERIOD] Batman is dishonest [PERIOD]
R... | Proof chain:
shiny ⇒ light
intellectual ∧ light ⇒ stubborn
stubborn ⇒ cooperative
| 1 | 3 |
Facts: Batman is worrisome [PERIOD]
Rules:
bored [AND] scared [IMPLY] crowded [PERIOD]
worried [AND] sleepy [AND] crowded [IMPLY] worrisome [PERIOD]
bored [IMPLY] crowded [PERIOD]
sincere [AND] scared [AND] worried [IMPLY] bored [PERIOD]
sleepy [IMPLY] bored [PERIOD]
sleepy [IMPLY] scared [PERIOD]
worried [IMPLY] scar... | Proof chain:
worrisome ⇒ bored
bored ⇒ scared
scared ⇒ sleepy
| 1 | 3 |
Facts:
Rules:
uptight [IMPLY] serious [PERIOD]
stormy [AND] precious [IMPLY] anxious [PERIOD]
confused [IMPLY] precious [PERIOD]
sleepy [AND] confused [AND] stormy [IMPLY] versatile [PERIOD]
polite [AND] lucky [AND] confused [IMPLY] precious [PERIOD]
frantic [IMPLY] serious [PERIOD]
stormy [AND] polite [AND] frantic [... | Proof chain:
Cannot apply rule “uptight ⇒ serious” because missing: uptight.
Cannot apply rule “frantic ⇒ serious” because missing: frantic.
Cannot apply rule “confident ∧ stormy ⇒ serious” because missing: confident, stormy.
| 0 | 3 |
Facts: Batman is lonely [PERIOD] Batman is joyous [PERIOD] Batman is silly [PERIOD] Batman is reserved [PERIOD] Batman is scared [PERIOD] Batman is charming [PERIOD] Batman is tame [PERIOD] Batman is average [PERIOD] Batman is zealous [PERIOD] Batman is impatient [PERIOD]
Rules:
reserved [AND] serious [AND] average [I... | Proof chain:
charming ⇒ attractive
attractive ⇒ rude
rude ⇒ troubled
| 1 | 3 |
Facts: Batman is zealous [PERIOD] Batman is diplomatic [PERIOD] Batman is adorable [PERIOD]
Rules:
unpleasant [AND] zealous [IMPLY] diplomatic [PERIOD]
zealous [AND] smart [AND] horrible [IMPLY] adorable [PERIOD]
unpleasant [AND] charming [AND] gorgeous [IMPLY] diplomatic [PERIOD]
charming [IMPLY] smart [PERIOD]
gorge... | Proof chain:
Cannot apply rule “gorgeous ∧ zealous ∧ adorable ⇒ horrible” because missing: gorgeous.
Cannot apply rule “charming ⇒ horrible” because missing: charming.
Cannot apply rule “smart ∧ hypocritical ∧ adorable ⇒ horrible” because missing: smart, hypocritical.
| 0 | 3 |
Facts: Batman is wandering [PERIOD] Batman is clumsy [PERIOD]
Rules:
alert [IMPLY] light [PERIOD]
amused [IMPLY] alert [PERIOD]
helpless [IMPLY] alert [PERIOD]
light [IMPLY] troubled [PERIOD]
light [IMPLY] perfect [PERIOD]
unpleasant [AND] amused [AND] helpless [IMPLY] alert [PERIOD]
unpleasant [AND] clumsy [IMPLY] wa... | Proof chain:
clumsy ⇒ troubled
troubled ∧ wandering ⇒ helpless
helpless ⇒ alert
| 1 | 3 |
Facts: Batman is tidy [PERIOD] Batman is average [PERIOD]
Rules:
average [AND] enchanting [IMPLY] tense [PERIOD]
tense [AND] modern [IMPLY] elegant [PERIOD]
friendly [AND] ambitious [AND] troubled [IMPLY] average [PERIOD]
friendly [AND] troubled [IMPLY] perfect [PERIOD]
blushing [AND] helpful [IMPLY] exuberant [PERIOD... | Proof chain:
average ⇒ perfect
perfect ⇒ troubled
tidy ∧ troubled ⇒ ambitious
| 1 | 3 |
Facts:
Rules:
impartial [AND] hilarious [AND] modern [IMPLY] spotless [PERIOD]
shiny [AND] scared [IMPLY] distinct [PERIOD]
shy [IMPLY] ambitious [PERIOD]
fine [IMPLY] impartial [PERIOD]
different [IMPLY] fine [PERIOD]
scared [AND] amused [IMPLY] different [PERIOD]
fine [IMPLY] distinct [PERIOD]
shiny [AND] cruel [AND... | Proof chain:
Cannot apply rule “different ⇒ fine” because missing: different.
Cannot apply rule “impartial ∧ silly ⇒ fine” because missing: impartial, silly.
Cannot apply rule “scared ∧ careless ⇒ fine” because missing: scared, careless.
| 0 | 3 |
Facts: Batman is impatient [PERIOD] Batman is supportive [PERIOD] Batman is horrible [PERIOD] Batman is fine [PERIOD] Batman is precious [PERIOD]
Rules:
crowded [AND] talkative [AND] proud [IMPLY] rational [PERIOD]
comfortable [AND] proud [IMPLY] easy [PERIOD]
hurt [AND] troubled [IMPLY] talkative [PERIOD]
worried [AN... | Proof chain:
impatient ⇒ cooperative
cooperative ∧ impatient ⇒ hurt
hurt ⇒ clumsy
| 1 | 3 |
Facts: Batman is busy [PERIOD] Batman is amused [PERIOD] Batman is bright [PERIOD] Batman is foolish [PERIOD] Batman is precious [PERIOD] Batman is rational [PERIOD]
Rules:
vivacious [IMPLY] bright [PERIOD]
cruel [AND] gorgeous [AND] busy [IMPLY] bright [PERIOD]
supportive [IMPLY] bright [PERIOD]
bright [AND] tidy [AN... | Proof chain:
amused ⇒ talented
talented ∧ busy ⇒ comfortable
Cannot apply rule “tidy ∧ comfortable ∧ cruel ⇒ versatile” because missing: tidy, cruel.
| 0 | 3 |
Facts:
Rules:
ugly [AND] silly [IMPLY] frantic [PERIOD]
reserved [AND] wide-eyed [AND] careless [IMPLY] frantic [PERIOD]
different [IMPLY] frantic [PERIOD]
ugly [AND] careless [AND] old-fashioned [IMPLY] long [PERIOD]
confident [AND] pessimistic [AND] different [IMPLY] cooperative [PERIOD]
impatient [AND] ugly [AND] d... | Proof chain:
Cannot apply rule “dull ∧ courageous ∧ different ⇒ innocent” because missing: dull, courageous, different.
Cannot apply rule “wide-eyed ∧ careless ∧ pessimistic ⇒ innocent” because missing: wide-eyed, careless, pessimistic.
Cannot apply rule “different ∧ ugly ⇒ innocent” because missing: different... | 0 | 3 |
Facts: Batman is inexpensive [PERIOD] Batman is frantic [PERIOD] Batman is dull [PERIOD] Batman is rational [PERIOD] Batman is excited [PERIOD] Batman is modern [PERIOD] Batman is blushing [PERIOD] Batman is impartial [PERIOD] Batman is pessimistic [PERIOD]
Rules:
blushing [AND] homely [AND] dull [IMPLY] gifted [PERIO... | Proof chain:
impartial ⇒ innocent
dull ⇒ mysterious
innocent ∧ mysterious ⇒ polite
| 1 | 3 |
Facts: Batman is intellectual [PERIOD] Batman is excited [PERIOD] Batman is naughty [PERIOD] Batman is hurt [PERIOD] Batman is supportive [PERIOD] Batman is friendly [PERIOD] Batman is polite [PERIOD] Batman is strange [PERIOD]
Rules:
strange [IMPLY] grumpy [PERIOD]
straightforward [IMPLY] ugliest [PERIOD]
hurt [IMPLY... | Proof chain:
hurt ⇒ old-fashioned
old-fashioned ⇒ gifted
gifted ⇒ loving
| 1 | 3 |
Facts: Batman is light [PERIOD]
Rules:
bad-tempered [AND] tame [AND] rude [IMPLY] different [PERIOD]
bad-tempered [AND] inexpensive [AND] different [IMPLY] inquisitive [PERIOD]
rude [AND] inquisitive [AND] bad-tempered [IMPLY] light [PERIOD]
bad-tempered [AND] different [IMPLY] inquisitive [PERIOD]
inexpensive [IMPLY]... | Proof chain:
Cannot apply rule “bad-tempered ∧ tame ∧ rude ⇒ different” because missing: bad-tempered, tame, rude.
Cannot apply rule “bad-tempered ⇒ different” because missing: bad-tempered.
Cannot apply rule “inexpensive ∧ inquisitive ∧ light ⇒ different” because missing: inexpensive, inquisitive.
| 0 | 3 |
Facts: Batman is excited [PERIOD] Batman is selfish [PERIOD] Batman is unpleasant [PERIOD] Batman is gifted [PERIOD] Batman is frightened [PERIOD] Batman is vivacious [PERIOD] Batman is charming [PERIOD] Batman is easy [PERIOD]
Rules:
fearless [AND] outstanding [AND] easy [IMPLY] excited [PERIOD]
selfish [AND] easy [I... | Proof chain:
Cannot apply rule “frightened ∧ vivacious ∧ outstanding ⇒ curious” because missing: outstanding.
Cannot apply rule “tired ∧ charming ∧ vivacious ⇒ curious” because missing: tired.
Cannot apply rule “modern ∧ gifted ∧ easy ⇒ curious” because missing: modern.
| 0 | 3 |
Facts: Batman is worrisome [PERIOD] Batman is polite [PERIOD] Batman is excited [PERIOD]
Rules:
helpful [AND] polite [IMPLY] confident [PERIOD]
diplomatic [AND] outrageous [IMPLY] loving [PERIOD]
gifted [IMPLY] excited [PERIOD]
diplomatic [AND] precious [IMPLY] outrageous [PERIOD]
confident [AND] diplomatic [AND] thou... | Proof chain:
excited ⇒ gifted
worrisome ∧ gifted ⇒ outrageous
outrageous ⇒ sleepy
| 1 | 3 |
Facts: Batman is smart [PERIOD] Batman is glamorous [PERIOD] Batman is tame [PERIOD] Batman is dull [PERIOD]
Rules:
bad-tempered [IMPLY] tame [PERIOD]
strange [IMPLY] clean [PERIOD]
glamorous [AND] mean [AND] tidy [IMPLY] plain [PERIOD]
dishonest [IMPLY] clean [PERIOD]
wandering [AND] plain [IMPLY] rude [PERIOD]
mean ... | Proof chain:
glamorous ⇒ plain
glamorous ∧ plain ⇒ messy
messy ⇒ strange
| 1 | 3 |
Facts:
Rules:
talkative [IMPLY] glamorous [PERIOD]
talkative [AND] glamorous [AND] frantic [IMPLY] rude [PERIOD]
talkative [AND] frantic [IMPLY] glamorous [PERIOD]
rude [IMPLY] glamorous [PERIOD]
frantic [AND] hurt [IMPLY] talkative [PERIOD]
rude [IMPLY] talkative [PERIOD]
frantic [AND] talkative [AND] hurt [IMPLY] ru... | Proof chain:
Cannot apply rule “talkative ∧ glamorous ∧ frantic ⇒ rude” because missing: talkative, glamorous, frantic.
Cannot apply rule “frantic ∧ talkative ∧ hurt ⇒ rude” because missing: frantic, talkative, hurt.
Cannot apply rule “glamorous ∧ hurt ⇒ rude” because missing: glamorous, hurt.
| 0 | 3 |
Facts: Batman is hurt [PERIOD] Batman is shiny [PERIOD] Batman is dull [PERIOD] Batman is talkative [PERIOD] Batman is homely [PERIOD] Batman is clumsy [PERIOD] Batman is popular [PERIOD] Batman is selfish [PERIOD] Batman is glamorous [PERIOD] Batman is pessimistic [PERIOD] Batman is rational [PERIOD] Batman is comfor... | Proof chain:
comfortable ∧ tender ⇒ innocent
homely ∧ rational ∧ dull ⇒ blushing
innocent ∧ blushing ⇒ powerful
| 1 | 3 |
Facts: Batman is pleasant [PERIOD] Batman is different [PERIOD] Batman is thoughtless [PERIOD] Batman is impartial [PERIOD] Batman is selfish [PERIOD]
Rules:
selfish [IMPLY] bossy [PERIOD]
impartial [IMPLY] different [PERIOD]
ugliest [AND] disobedient [IMPLY] good [PERIOD]
frightened [AND] different [AND] pleasant [IM... | Proof chain:
pleasant ⇒ impatient
impartial ⇒ joyous
impatient ∧ joyous ∧ pleasant ⇒ ugliest
| 1 | 3 |
Facts: Batman is smart [PERIOD]
Rules:
stubborn [IMPLY] plain [PERIOD]
plain [IMPLY] fancy [PERIOD]
plain [AND] stubborn [AND] fancy [IMPLY] smart [PERIOD]
smart [AND] plain [IMPLY] stubborn [PERIOD]
curious [IMPLY] smart [PERIOD]
fancy [AND] plain [AND] curious [IMPLY] smart [PERIOD]
smart [AND] curious [IMPLY] fancy... | Proof chain:
Cannot apply rule “plain ⇒ fancy” because missing: plain.
Cannot apply rule “smart ∧ curious ⇒ fancy” because missing: curious.
Cannot apply rule “plain ∧ curious ⇒ fancy” because missing: plain, curious.
| 0 | 3 |
Facts: Batman is messy [PERIOD]
Rules:
zealous [AND] busy [IMPLY] versatile [PERIOD]
reserved [IMPLY] talented [PERIOD]
alert [AND] reserved [AND] talented [IMPLY] bored [PERIOD]
bored [AND] alert [IMPLY] messy [PERIOD]
scared [AND] zealous [AND] busy [IMPLY] versatile [PERIOD]
messy [AND] fine [IMPLY] versatile [PERI... | Proof chain:
Cannot apply rule “scared ⇒ weary” because missing: scared.
Cannot apply rule “busy ∧ scared ∧ alert ⇒ weary” because missing: busy, scared, alert.
Cannot apply rule “versatile ∧ excited ⇒ weary” because missing: versatile, excited.
| 0 | 3 |
Facts:
Rules:
foolish [AND] condemned [IMPLY] supportive [PERIOD]
wrong [AND] foolish [IMPLY] horrible [PERIOD]
loving [AND] inexpensive [IMPLY] supportive [PERIOD]
foolish [IMPLY] condemned [PERIOD]
mysterious [AND] helpful [AND] gleaming [IMPLY] charming [PERIOD]
foolish [AND] helpful [IMPLY] frantic [PERIOD]
charmi... | Proof chain:
Cannot apply rule “unpleasant ⇒ inexpensive” because missing: unpleasant.
Cannot apply rule “elegant ⇒ inexpensive” because missing: elegant.
Cannot apply rule “attentive ⇒ inexpensive” because missing: attentive.
| 0 | 3 |
Facts: Batman is good [PERIOD] Batman is combative [PERIOD] Batman is difficult [PERIOD] Batman is uptight [PERIOD] Batman is wandering [PERIOD] Batman is pleasant [PERIOD] Batman is tame [PERIOD]
Rules:
inexpensive [IMPLY] rational [PERIOD]
talkative [IMPLY] tidy [PERIOD]
good [AND] fearless [IMPLY] unpleasant [PERIO... | Proof chain:
tame ⇒ fearless
fearless ⇒ old-fashioned
old-fashioned ⇒ inexpensive
| 1 | 3 |
Facts: Batman is exuberant [PERIOD] Batman is helpless [PERIOD] Batman is elated [PERIOD] Batman is talkative [PERIOD] Batman is joyous [PERIOD] Batman is tidy [PERIOD] Batman is excited [PERIOD] Batman is fine [PERIOD]
Rules:
thoughtless [IMPLY] amused [PERIOD]
thoughtless [IMPLY] supportive [PERIOD]
ugliest [IMPLY] ... | Proof chain:
excited ⇒ supportive
supportive ⇒ amused
amused ⇒ friendly
| 1 | 3 |
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