Question string | Complex_CoT string | Response int64 | Depth int64 |
|---|---|---|---|
Facts:
Rules:
gorgeous [AND] fine [AND] cooperative [IMPLY] dishonest [PERIOD]
sleepy [AND] fancy [IMPLY] gorgeous [PERIOD]
tense [AND] mysterious [AND] fancy [IMPLY] disobedient [PERIOD]
gorgeous [AND] tense [IMPLY] sleepy [PERIOD]
homely [IMPLY] grumpy [PERIOD]
mysterious [AND] cooperative [IMPLY] homely [PERIOD]
fa... | Proof chain:
Cannot apply rule “sleepy ∧ fancy ⇒ gorgeous” because missing: sleepy, fancy.
Cannot apply rule “strange ⇒ gorgeous” because missing: strange.
Cannot apply rule “fancy ⇒ gorgeous” because missing: fancy.
Cannot apply rule “confident ∧ sleepy ⇒ gorgeous” because missing: confident, sleepy.
| 0 | 4 |
Facts: Batman is courageous [PERIOD]
Rules:
good [AND] outstanding [IMPLY] courageous [PERIOD]
disgusted [AND] light [IMPLY] courageous [PERIOD]
distinct [AND] blushing [IMPLY] elegant [PERIOD]
inquisitive [IMPLY] impatient [PERIOD]
distinct [AND] vivacious [AND] scared [IMPLY] elegant [PERIOD]
good [IMPLY] blushing [... | Proof chain:
courageous ⇒ inquisitive
inquisitive ⇒ good
good ⇒ blushing
Cannot apply rule “blushing ∧ gleaming ∧ outstanding ⇒ inexpensive” because missing: gleaming, outstanding.
| 0 | 4 |
Facts: Batman is mean [PERIOD]
Rules:
loving [AND] intellectual [IMPLY] amused [PERIOD]
mean [AND] rational [IMPLY] amused [PERIOD]
disobedient [IMPLY] loving [PERIOD]
amused [AND] mean [IMPLY] rational [PERIOD]
intellectual [AND] mean [AND] rational [IMPLY] amused [PERIOD]
mean [AND] loving [AND] disobedient [IMPLY] ... | Proof chain:
Cannot apply rule “loving ∧ intellectual ⇒ amused” because missing: loving, intellectual.
Cannot apply rule “mean ∧ rational ⇒ amused” because missing: rational.
Cannot apply rule “intellectual ∧ mean ∧ rational ⇒ amused” because missing: intellectual, rational.
Cannot apply rule “mean ∧ loving... | 0 | 4 |
Facts: Batman is fine [PERIOD]
Rules:
joyous [IMPLY] cooperative [PERIOD]
helpful [IMPLY] attentive [PERIOD]
messy [AND] condemned [AND] joyous [IMPLY] hypocritical [PERIOD]
helpful [AND] elegant [IMPLY] cute [PERIOD]
precious [AND] cooperative [IMPLY] elated [PERIOD]
loving [AND] hypocritical [IMPLY] precious [PERIOD... | Proof chain:
fine ⇒ cooperative
cooperative ∧ fine ⇒ helpful
helpful ⇒ attentive
attentive ⇒ loving
| 1 | 4 |
Facts: Batman is grumpy [PERIOD] Batman is serious [PERIOD] Batman is frantic [PERIOD] Batman is straightforward [PERIOD]
Rules:
jittery [AND] grumpy [IMPLY] enchanting [PERIOD]
jittery [AND] grumpy [AND] serious [IMPLY] impatient [PERIOD]
serious [AND] enchanting [AND] beautiful [IMPLY] impatient [PERIOD]
frantic [IM... | Proof chain:
frantic ⇒ enchanting
frantic ⇒ enchanting
enchanting ⇒ beautiful
serious ∧ enchanting ∧ beautiful ⇒ impatient
| 1 | 4 |
Facts: Batman is tidy [PERIOD] Batman is confused [PERIOD] Batman is zealous [PERIOD] Batman is helpful [PERIOD] Batman is proud [PERIOD] Batman is reserved [PERIOD] Batman is straightforward [PERIOD] Batman is bright [PERIOD] Batman is anxious [PERIOD] Batman is strange [PERIOD] Batman is broad-minded [PERIOD]
Rules:... | Proof chain:
anxious ∧ reserved ∧ zealous ⇒ elated
bright ⇒ good
zealous ∧ good ⇒ condemned
anxious ∧ elated ∧ condemned ⇒ tired
| 1 | 4 |
Facts: Batman is reserved [PERIOD] Batman is modern [PERIOD] Batman is wrong [PERIOD]
Rules:
fragile [AND] popular [AND] wrong [IMPLY] reserved [PERIOD]
mean [AND] broad-minded [IMPLY] powerful [PERIOD]
mean [AND] wrong [IMPLY] fragile [PERIOD]
modern [IMPLY] mean [PERIOD]
reserved [AND] broad-minded [IMPLY] popular [... | Proof chain:
modern ⇒ mean
modern ⇒ mean
mean ⇒ broad-minded
mean ∧ broad-minded ⇒ powerful
| 1 | 4 |
Facts: Batman is clean [PERIOD] Batman is dishonest [PERIOD] Batman is ugly [PERIOD] Batman is glamorous [PERIOD] Batman is fearless [PERIOD] Batman is reserved [PERIOD] Batman is plain [PERIOD] Batman is proud [PERIOD] Batman is gleaming [PERIOD]
Rules:
talented [IMPLY] wrong [PERIOD]
fearless [IMPLY] curious [PERIOD... | Proof chain:
plain ⇒ combative
combative ⇒ thoughtless
glamorous ∧ thoughtless ⇒ talented
dishonest ∧ talented ⇒ crowded
| 1 | 4 |
Facts: Batman is cute [PERIOD] Batman is tidy [PERIOD] Batman is scared [PERIOD] Batman is excited [PERIOD]
Rules:
bad-tempered [AND] jittery [AND] difficult [IMPLY] scared [PERIOD]
scared [IMPLY] stubborn [PERIOD]
old-fashioned [IMPLY] stubborn [PERIOD]
scared [AND] jittery [AND] mean [IMPLY] old-fashioned [PERIOD]
j... | Proof chain:
excited ⇒ inexpensive
excited ∧ inexpensive ⇒ homely
excited ⇒ inexpensive
homely ∧ inexpensive ⇒ mean
| 1 | 4 |
Facts: Batman is curious [PERIOD] Batman is fearless [PERIOD] Batman is ugly [PERIOD]
Rules:
calm [AND] stubborn [IMPLY] fearless [PERIOD]
long [AND] grumpy [AND] condemned [IMPLY] witty [PERIOD]
curious [AND] thoughtful [IMPLY] calm [PERIOD]
calm [AND] thoughtful [IMPLY] agreeable [PERIOD]
witty [AND] ugly [AND] calm... | Proof chain:
Cannot apply rule “stubborn ∧ busy ∧ long ⇒ grumpy” because missing: stubborn, busy, long.
Cannot apply rule “plain ∧ frail ∧ ugly ⇒ grumpy” because missing: plain, frail.
Cannot apply rule “condemned ∧ stubborn ∧ thoughtful ⇒ grumpy” because missing: condemned, stubborn, thoughtful.
Cannot app... | 0 | 4 |
Facts: Batman is talkative [PERIOD] Batman is famous [PERIOD]
Rules:
straightforward [AND] shy [IMPLY] quaint [PERIOD]
famous [AND] gorgeous [IMPLY] wide-eyed [PERIOD]
quaint [IMPLY] bored [PERIOD]
straightforward [IMPLY] bored [PERIOD]
talkative [IMPLY] disgusted [PERIOD]
famous [AND] fine [IMPLY] embarrassed [PERIOD... | Proof chain:
Cannot apply rule “broad-minded ∧ famous ∧ straightforward ⇒ gorgeous” because missing: broad-minded, straightforward.
talkative ⇒ disgusted
Cannot apply rule “disgusted ∧ quaint ⇒ gorgeous” because missing: quaint.
Cannot apply rule “quaint ⇒ gorgeous” because missing: quaint.
| 0 | 4 |
Facts: Batman is tame [PERIOD] Batman is cooperative [PERIOD]
Rules:
cooperative [IMPLY] lonely [PERIOD]
zealous [IMPLY] mysterious [PERIOD]
vivacious [AND] beautiful [IMPLY] cruel [PERIOD]
zealous [IMPLY] calm [PERIOD]
spotless [AND] cooperative [IMPLY] tame [PERIOD]
vivacious [IMPLY] mysterious [PERIOD]
zealous [AND... | Proof chain:
cooperative ⇒ calm
calm ∧ tame ⇒ fearless
Cannot apply rule “light ∧ fearless ⇒ worrisome” because missing: light.
Cannot apply rule “light ⇒ worrisome” because missing: light.
| 0 | 4 |
Facts: Batman is alert [PERIOD] Batman is hypocritical [PERIOD] Batman is scared [PERIOD] Batman is pleasant [PERIOD] Batman is tense [PERIOD] Batman is friendly [PERIOD]
Rules:
hypocritical [AND] friendly [IMPLY] ugly [PERIOD]
pleasant [AND] confused [IMPLY] scared [PERIOD]
confused [AND] scared [AND] friendly [IMPLY... | Proof chain:
hypocritical ∧ alert ⇒ charming
charming ∧ scared ⇒ inquisitive
hypocritical ∧ alert ⇒ charming
inquisitive ∧ hypocritical ∧ charming ⇒ reserved
| 1 | 4 |
Facts:
Rules:
precious [AND] gorgeous [IMPLY] tidy [PERIOD]
comfortable [AND] cute [IMPLY] anxious [PERIOD]
reserved [AND] good [AND] gorgeous [IMPLY] thoughtless [PERIOD]
hilarious [IMPLY] good [PERIOD]
long [AND] embarrassed [IMPLY] difficult [PERIOD]
cute [AND] gorgeous [IMPLY] spotless [PERIOD]
thoughtless [AND] a... | Proof chain:
Cannot apply rule “distinct ∧ good ⇒ hilarious” because missing: distinct, good.
Cannot apply rule “comfortable ∧ helpful ⇒ hilarious” because missing: comfortable, helpful.
Cannot apply rule “precious ∧ long ∧ attractive ⇒ hilarious” because missing: precious, long, attractive.
Cannot apply ru... | 0 | 4 |
Facts: Batman is scared [PERIOD] Batman is frantic [PERIOD] Batman is comfortable [PERIOD]
Rules:
disobedient [AND] witty [IMPLY] powerful [PERIOD]
wandering [AND] inexpensive [IMPLY] good [PERIOD]
inexpensive [AND] average [IMPLY] comfortable [PERIOD]
comfortable [AND] condemned [AND] average [IMPLY] witty [PERIOD]
w... | Proof chain:
comfortable ⇒ anxious
anxious ⇒ loving
comfortable ⇒ anxious
loving ∧ anxious ⇒ average
| 1 | 4 |
Facts: Batman is adorable [PERIOD] Batman is shy [PERIOD]
Rules:
beautiful [IMPLY] worrisome [PERIOD]
polite [IMPLY] proud [PERIOD]
smart [IMPLY] shy [PERIOD]
hurt [IMPLY] attractive [PERIOD]
proud [AND] shy [AND] attractive [IMPLY] exuberant [PERIOD]
wandering [AND] tired [IMPLY] shy [PERIOD]
wandering [AND] polite [... | Proof chain:
Cannot apply rule “friendly ⇒ precious” because missing: friendly.
Cannot apply rule “gifted ∧ adorable ⇒ precious” because missing: gifted.
shy ⇒ exuberant
Cannot apply rule “proud ∧ bossy ∧ exuberant ⇒ precious” because missing: proud, bossy.
| 0 | 4 |
Facts: Batman is calm [PERIOD] Batman is pleasant [PERIOD] Batman is light [PERIOD] Batman is talented [PERIOD]
Rules:
fearless [IMPLY] clumsy [PERIOD]
powerful [AND] embarrassed [IMPLY] foolish [PERIOD]
foolish [AND] sleepy [IMPLY] supportive [PERIOD]
tired [AND] embarrassed [AND] sleepy [IMPLY] mean [PERIOD]
embarra... | Proof chain:
light ∧ talented ⇒ embarrassed
embarrassed ∧ talented ⇒ cooperative
pleasant ∧ cooperative ⇒ attractive
attractive ⇒ supportive
| 1 | 4 |
Facts: Batman is sincere [PERIOD] Batman is tired [PERIOD] Batman is pessimistic [PERIOD] Batman is frail [PERIOD] Batman is powerful [PERIOD]
Rules:
sincere [IMPLY] tired [PERIOD]
sincere [IMPLY] strange [PERIOD]
strange [IMPLY] pessimistic [PERIOD]
fancy [AND] frail [AND] straightforward [IMPLY] sincere [PERIOD]
fra... | Proof chain:
Cannot apply rule “curious ⇒ fancy” because missing: curious.
Cannot apply rule “pessimistic ∧ shiny ∧ powerful ⇒ fancy” because missing: shiny.
Cannot apply rule “shiny ∧ dull ⇒ fancy” because missing: shiny, dull.
Cannot apply rule “fragile ∧ dull ∧ ambitious ⇒ fancy” because missing: fragile... | 0 | 4 |
Facts: Batman is talented [PERIOD] Batman is sincere [PERIOD]
Rules:
sincere [AND] famous [IMPLY] straightforward [PERIOD]
wide-eyed [AND] straightforward [AND] bad-tempered [IMPLY] stupid [PERIOD]
busy [IMPLY] bad-tempered [PERIOD]
frail [AND] straightforward [IMPLY] bad-tempered [PERIOD]
foolish [IMPLY] wide-eyed [P... | Proof chain:
Cannot apply rule “busy ⇒ bad-tempered” because missing: busy.
Cannot apply rule “frail ∧ straightforward ⇒ bad-tempered” because missing: frail, straightforward.
Cannot apply rule “unpleasant ⇒ bad-tempered” because missing: unpleasant.
Cannot apply rule “famous ∧ stupid ⇒ bad-tempered” becaus... | 0 | 4 |
Facts:
Rules:
blushing [AND] spotless [AND] hypocritical [IMPLY] clean [PERIOD]
clean [IMPLY] inexpensive [PERIOD]
hypocritical [AND] horrible [AND] inexpensive [IMPLY] blushing [PERIOD]
spotless [AND] horrible [IMPLY] hypocritical [PERIOD]
spotless [AND] horrible [IMPLY] blushing [PERIOD]
horrible [AND] hypocritical ... | Proof chain:
Cannot apply rule “spotless ∧ horrible ⇒ hypocritical” because missing: spotless, horrible.
Cannot apply rule “horrible ∧ blushing ⇒ hypocritical” because missing: horrible, blushing.
Cannot apply rule “inexpensive ∧ horrible ⇒ hypocritical” because missing: inexpensive, horrible.
Cannot apply ... | 0 | 4 |
Facts: Batman is precious [PERIOD] Batman is old-fashioned [PERIOD] Batman is friendly [PERIOD] Batman is worrisome [PERIOD]
Rules:
serious [AND] excited [IMPLY] glamorous [PERIOD]
comfortable [AND] friendly [AND] serious [IMPLY] worrisome [PERIOD]
clean [AND] worrisome [IMPLY] outrageous [PERIOD]
foolish [AND] worris... | Proof chain:
precious ⇒ glamorous
precious ⇒ glamorous
glamorous ⇒ stormy
glamorous ∧ stormy ⇒ clean
| 1 | 4 |
Facts: Batman is famous [PERIOD] Batman is average [PERIOD] Batman is dull [PERIOD] Batman is tidy [PERIOD]
Rules:
spotless [IMPLY] dull [PERIOD]
perfect [IMPLY] ugly [PERIOD]
perfect [AND] tidy [IMPLY] talented [PERIOD]
powerful [IMPLY] perfect [PERIOD]
helpless [AND] powerful [AND] ugly [IMPLY] jittery [PERIOD]
spot... | Proof chain:
Cannot apply rule “perfect ⇒ ugly” because missing: perfect.
Cannot apply rule “average ∧ spotless ⇒ ugly” because missing: spotless.
Cannot apply rule “famous ∧ talented ∧ tidy ⇒ ugly” because missing: talented.
Cannot apply rule “jittery ∧ perfect ⇒ ugly” because missing: jittery, perfect.
| 0 | 4 |
Facts: Batman is thoughtful [PERIOD] Batman is horrible [PERIOD] Batman is unpleasant [PERIOD]
Rules:
gleaming [IMPLY] fancy [PERIOD]
thoughtless [AND] versatile [IMPLY] comfortable [PERIOD]
blushing [AND] fancy [AND] light [IMPLY] comfortable [PERIOD]
light [IMPLY] fancy [PERIOD]
powerful [AND] thoughtful [AND] light... | Proof chain:
unpleasant ∧ horrible ⇒ distinct
Cannot apply rule “comfortable ∧ distinct ⇒ powerful” because missing: comfortable.
unpleasant ⇒ outstanding
Cannot apply rule “outstanding ∧ hilarious ∧ horrible ⇒ powerful” because missing: hilarious.
| 0 | 4 |
Facts: Batman is cruel [PERIOD] Batman is cooperative [PERIOD] Batman is aggressive [PERIOD] Batman is difficult [PERIOD] Batman is fine [PERIOD] Batman is sleepy [PERIOD] Batman is perfect [PERIOD] Batman is pessimistic [PERIOD] Batman is thoughtless [PERIOD] Batman is versatile [PERIOD] Batman is helpful [PERIOD] Ba... | Proof chain:
old-fashioned ⇒ tame
aggressive ∧ tame ∧ perfect ⇒ hilarious
hilarious ⇒ bossy
bossy ⇒ distinct
| 1 | 4 |
Facts: Batman is difficult [PERIOD] Batman is confused [PERIOD]
Rules:
attractive [AND] clumsy [IMPLY] friendly [PERIOD]
cruel [AND] troubled [IMPLY] victorious [PERIOD]
attractive [AND] curious [AND] enchanting [IMPLY] sleepy [PERIOD]
victorious [AND] worried [IMPLY] grumpy [PERIOD]
dull [AND] clumsy [IMPLY] nervous ... | Proof chain:
Cannot apply rule “attractive ∧ clumsy ⇒ friendly” because missing: attractive, clumsy.
Cannot apply rule “attractive ⇒ friendly” because missing: attractive.
Cannot apply rule “helpless ⇒ friendly” because missing: helpless.
Cannot apply rule “enchanting ⇒ friendly” because missing: enchanting... | 0 | 4 |
Facts: Batman is fancy [PERIOD] Batman is beautiful [PERIOD] Batman is excited [PERIOD]
Rules:
gleaming [IMPLY] beautiful [PERIOD]
excited [IMPLY] scared [PERIOD]
fancy [AND] beautiful [IMPLY] cute [PERIOD]
fancy [AND] beautiful [AND] homely [IMPLY] scared [PERIOD]
cute [AND] scared [AND] excited [IMPLY] homely [PERIO... | Proof chain:
fancy ∧ beautiful ⇒ cute
excited ∧ cute ⇒ hypocritical
fancy ∧ beautiful ⇒ cute
hypocritical ∧ cute ∧ fancy ⇒ gleaming
| 1 | 4 |
Facts: Batman is outrageous [PERIOD] Batman is bright [PERIOD] Batman is naughty [PERIOD]
Rules:
vivacious [AND] long [IMPLY] hypocritical [PERIOD]
elegant [AND] cute [IMPLY] hypocritical [PERIOD]
naughty [AND] homely [AND] bright [IMPLY] frantic [PERIOD]
thoughtful [IMPLY] frantic [PERIOD]
hypocritical [IMPLY] franti... | Proof chain:
Cannot apply rule “long ∧ bright ∧ naughty ⇒ modern” because missing: long.
Cannot apply rule “outrageous ∧ naughty ∧ thoughtful ⇒ modern” because missing: thoughtful.
Cannot apply rule “homely ⇒ modern” because missing: homely.
Cannot apply rule “thoughtful ∧ frantic ∧ bright ⇒ modern” because... | 0 | 4 |
Facts: Batman is hilarious [PERIOD] Batman is stupid [PERIOD]
Rules:
crowded [IMPLY] rational [PERIOD]
stupid [AND] crowded [IMPLY] enchanting [PERIOD]
hilarious [IMPLY] stupid [PERIOD]
stupid [AND] crowded [IMPLY] grumpy [PERIOD]
hilarious [AND] grumpy [IMPLY] stupid [PERIOD]
enchanting [AND] grumpy [AND] rational [I... | Proof chain:
hilarious ⇒ enchanting
stupid ∧ hilarious ⇒ rational
Cannot apply rule “enchanting ∧ rational ∧ ambitious ⇒ crowded” because missing: ambitious.
Cannot apply rule “ambitious ∧ grumpy ∧ hilarious ⇒ crowded” because missing: ambitious, grumpy.
| 0 | 4 |
Facts: Batman is impatient [PERIOD] Batman is mysterious [PERIOD] Batman is dishonest [PERIOD] Batman is attractive [PERIOD] Batman is comfortable [PERIOD] Batman is helpful [PERIOD] Batman is worried [PERIOD] Batman is nervous [PERIOD] Batman is attentive [PERIOD]
Rules:
quaint [IMPLY] impatient [PERIOD]
good [AND] w... | Proof chain:
attractive ⇒ selfish
attractive ⇒ selfish
selfish ∧ attentive ∧ comfortable ⇒ precious
selfish ∧ precious ⇒ quaint
| 1 | 4 |
Facts: Batman is pessimistic [PERIOD] Batman is disgusted [PERIOD] Batman is tidy [PERIOD] Batman is precious [PERIOD] Batman is impatient [PERIOD] Batman is mean [PERIOD]
Rules:
broad-minded [IMPLY] tidy [PERIOD]
precious [AND] fancy [IMPLY] disgusted [PERIOD]
hurt [AND] famous [IMPLY] worried [PERIOD]
mean [IMPLY] t... | Proof chain:
precious ∧ disgusted ⇒ horrible
precious ∧ disgusted ⇒ horrible
disgusted ∧ horrible ⇒ tame
horrible ∧ precious ∧ tame ⇒ scared
| 1 | 4 |
Facts:
Rules:
busy [AND] worried [IMPLY] victorious [PERIOD]
adorable [IMPLY] courageous [PERIOD]
fragile [AND] cooperative [AND] homely [IMPLY] tender [PERIOD]
courageous [AND] busy [AND] homely [IMPLY] straightforward [PERIOD]
straightforward [AND] condemned [IMPLY] cooperative [PERIOD]
busy [AND] worried [IMPLY] ex... | Proof chain:
Cannot apply rule “fragile ∧ cooperative ∧ homely ⇒ tender” because missing: fragile, cooperative, homely.
Cannot apply rule “adorable ∧ excited ⇒ tender” because missing: adorable, excited.
Cannot apply rule “homely ⇒ tender” because missing: homely.
Cannot apply rule “wide-eyed ∧ excited ⇒ te... | 0 | 4 |
Facts: Batman is sensible [PERIOD] Batman is proud [PERIOD]
Rules:
proud [AND] alert [AND] spotless [IMPLY] dull [PERIOD]
naughty [AND] broad-minded [AND] selfish [IMPLY] wandering [PERIOD]
wandering [AND] uptight [AND] alert [IMPLY] foolish [PERIOD]
alert [AND] foolish [AND] selfish [IMPLY] spotless [PERIOD]
alert [A... | Proof chain:
Cannot apply rule “spotless ∧ diplomatic ∧ confident ⇒ different” because missing: spotless, diplomatic, confident.
Cannot apply rule “uptight ∧ dull ⇒ different” because missing: uptight, dull.
Cannot apply rule “broad-minded ∧ foolish ∧ spotless ⇒ different” because missing: broad-minded, foolis... | 0 | 4 |
Facts: Batman is mean [PERIOD] Batman is wide-eyed [PERIOD]
Rules:
modern [AND] wide-eyed [AND] mean [IMPLY] outrageous [PERIOD]
excited [IMPLY] outrageous [PERIOD]
grumpy [IMPLY] excited [PERIOD]
grumpy [AND] wide-eyed [IMPLY] mean [PERIOD]
clumsy [AND] wide-eyed [IMPLY] grumpy [PERIOD]
grumpy [AND] mean [AND] lonely... | Proof chain:
mean ⇒ clumsy
clumsy ⇒ modern
wide-eyed ⇒ pleasant
modern ∧ pleasant ⇒ lonely
| 1 | 4 |
Facts: Batman is impatient [PERIOD] Batman is light [PERIOD] Batman is hurt [PERIOD] Batman is wide-eyed [PERIOD] Batman is curious [PERIOD] Batman is clean [PERIOD] Batman is mean [PERIOD] Batman is vivacious [PERIOD]
Rules:
wrong [AND] glamorous [IMPLY] curious [PERIOD]
vivacious [IMPLY] curious [PERIOD]
curious [AN... | Proof chain:
vivacious ⇒ helpful
impatient ⇒ glamorous
light ∧ impatient ∧ glamorous ⇒ perfect
impatient ∧ helpful ∧ perfect ⇒ comfortable
| 1 | 4 |
Facts: Batman is tame [PERIOD] Batman is enchanting [PERIOD] Batman is tense [PERIOD] Batman is serious [PERIOD] Batman is hypocritical [PERIOD] Batman is busy [PERIOD] Batman is bored [PERIOD] Batman is selfish [PERIOD] Batman is easy [PERIOD]
Rules:
ugly [IMPLY] easy [PERIOD]
beautiful [AND] wide-eyed [AND] clumsy [... | Proof chain:
enchanting ∧ tense ⇒ ugly
selfish ⇒ diplomatic
ugly ∧ diplomatic ⇒ zealous
zealous ∧ busy ∧ enchanting ⇒ beautiful
| 1 | 4 |
Facts: Batman is distinct [PERIOD]
Rules:
average [AND] impatient [AND] scared [IMPLY] broad-minded [PERIOD]
scared [AND] impatient [AND] powerful [IMPLY] disgusted [PERIOD]
zealous [IMPLY] attentive [PERIOD]
versatile [AND] powerful [AND] perfect [IMPLY] broad-minded [PERIOD]
impatient [IMPLY] tame [PERIOD]
broad-min... | Proof chain:
distinct ⇒ scared
Cannot apply rule “average ∧ impatient ∧ scared ⇒ broad-minded” because missing: average, impatient.
Cannot apply rule “versatile ∧ powerful ∧ perfect ⇒ broad-minded” because missing: versatile, powerful, perfect.
Cannot apply rule “rude ∧ perfect ⇒ broad-minded” because missi... | 0 | 4 |
Facts:
Rules:
uptight [AND] horrible [AND] loving [IMPLY] careless [PERIOD]
careless [AND] amused [IMPLY] loving [PERIOD]
condemned [AND] uptight [IMPLY] loving [PERIOD]
horrible [AND] combative [AND] uptight [IMPLY] silly [PERIOD]
loving [IMPLY] uptight [PERIOD]
careless [IMPLY] amused [PERIOD]
uptight [AND] combativ... | Proof chain:
Cannot apply rule “horrible ∧ combative ∧ uptight ⇒ silly” because missing: horrible, combative, uptight.
Cannot apply rule “amused ∧ horrible ∧ uptight ⇒ silly” because missing: amused, horrible, uptight.
Cannot apply rule “loving ⇒ silly” because missing: loving.
Cannot apply rule “combative ... | 0 | 4 |
Facts: Batman is busy [PERIOD] Batman is calm [PERIOD] Batman is grumpy [PERIOD] Batman is nervous [PERIOD] Batman is worried [PERIOD]
Rules:
cute [AND] busy [IMPLY] confident [PERIOD]
straightforward [IMPLY] fine [PERIOD]
impartial [IMPLY] busy [PERIOD]
impartial [AND] nervous [IMPLY] diplomatic [PERIOD]
zealous [AND... | Proof chain:
calm ⇒ jittery
jittery ∧ grumpy ⇒ messy
calm ∧ messy ⇒ cute
cute ∧ calm ⇒ broad-minded
| 1 | 4 |
Facts:
Rules:
stupid [AND] straightforward [IMPLY] dishonest [PERIOD]
cooperative [IMPLY] confused [PERIOD]
serious [IMPLY] broad-minded [PERIOD]
worrisome [IMPLY] tender [PERIOD]
jittery [AND] stormy [AND] inexpensive [IMPLY] strange [PERIOD]
cute [IMPLY] shy [PERIOD]
shiny [IMPLY] broad-minded [PERIOD]
messy [AND] s... | Proof chain:
Cannot apply rule “difficult ⇒ ugliest” because missing: difficult.
Cannot apply rule “cooperative ⇒ ugliest” because missing: cooperative.
Cannot apply rule “shiny ⇒ ugliest” because missing: shiny.
Cannot apply rule “serious ∧ stormy ⇒ ugliest” because missing: serious, stormy.
| 0 | 4 |
Facts:
Rules:
innocent [AND] unpleasant [IMPLY] muddy [PERIOD]
frightened [AND] proud [IMPLY] modern [PERIOD]
light [AND] modern [IMPLY] proud [PERIOD]
frightened [AND] condemned [IMPLY] proud [PERIOD]
innocent [IMPLY] frightened [PERIOD]
light [AND] proud [AND] muddy [IMPLY] frightened [PERIOD]
condemned [IMPLY] comf... | Proof chain:
Cannot apply rule “light ∧ modern ⇒ proud” because missing: light, modern.
Cannot apply rule “frightened ∧ condemned ⇒ proud” because missing: frightened, condemned.
Cannot apply rule “muddy ⇒ proud” because missing: muddy.
Cannot apply rule “muddy ∧ comfortable ⇒ proud” because missing: muddy,... | 0 | 4 |
Facts:
Rules:
clumsy [AND] shiny [AND] attractive [IMPLY] wrong [PERIOD]
charming [AND] sincere [AND] polite [IMPLY] excited [PERIOD]
good [AND] excited [AND] unpleasant [IMPLY] polite [PERIOD]
charming [AND] wrong [AND] good [IMPLY] sincere [PERIOD]
excited [AND] wrong [IMPLY] polite [PERIOD]
unpleasant [AND] clumsy ... | Proof chain:
Cannot apply rule “charming ∧ sincere ∧ polite ⇒ excited” because missing: charming, sincere, polite.
Cannot apply rule “good ∧ shiny ∧ sincere ⇒ excited” because missing: good, shiny, sincere.
Cannot apply rule “shiny ∧ attractive ⇒ excited” because missing: shiny, attractive.
Cannot apply rul... | 0 | 4 |
Facts:
Rules:
grumpy [IMPLY] worried [PERIOD]
jittery [AND] elated [AND] curious [IMPLY] courageous [PERIOD]
inquisitive [AND] dull [IMPLY] courageous [PERIOD]
rude [AND] silly [IMPLY] inquisitive [PERIOD]
elated [AND] curious [AND] diplomatic [IMPLY] dull [PERIOD]
dull [AND] exuberant [AND] inquisitive [IMPLY] talkat... | Proof chain:
Cannot apply rule “cute ∧ elated ⇒ grumpy” because missing: cute, elated.
Cannot apply rule “tender ⇒ grumpy” because missing: tender.
Cannot apply rule “talkative ∧ condemned ∧ tender ⇒ grumpy” because missing: talkative, condemned, tender.
Cannot apply rule “talkative ∧ inquisitive ∧ worried ... | 0 | 4 |
Facts: Batman is powerful [PERIOD] Batman is courageous [PERIOD]
Rules:
old-fashioned [AND] impatient [IMPLY] victorious [PERIOD]
witty [AND] hurt [IMPLY] victorious [PERIOD]
victorious [AND] reserved [AND] condemned [IMPLY] mysterious [PERIOD]
adorable [AND] hurt [AND] courageous [IMPLY] outstanding [PERIOD]
naughty ... | Proof chain:
courageous ⇒ victorious
victorious ⇒ adorable
courageous ⇒ impatient
adorable ∧ impatient ⇒ old-fashioned
| 1 | 4 |
Facts: Batman is beautiful [PERIOD] Batman is exuberant [PERIOD]
Rules:
hurt [IMPLY] elegant [PERIOD]
versatile [AND] courageous [IMPLY] hurt [PERIOD]
exuberant [AND] intellectual [IMPLY] hypocritical [PERIOD]
comfortable [AND] hurt [AND] ugly [IMPLY] elegant [PERIOD]
elegant [IMPLY] hurt [PERIOD]
ugly [IMPLY] tender ... | Proof chain:
beautiful ⇒ intellectual
exuberant ∧ intellectual ⇒ hypocritical
hypocritical ∧ beautiful ⇒ elegant
elegant ⇒ hurt
| 1 | 4 |
Facts: Batman is zealous [PERIOD] Batman is scared [PERIOD] Batman is shiny [PERIOD] Batman is precious [PERIOD] Batman is worrisome [PERIOD] Batman is attentive [PERIOD]
Rules:
anxious [AND] witty [IMPLY] hurt [PERIOD]
modern [AND] wide-eyed [IMPLY] troubled [PERIOD]
selfish [AND] muddy [AND] beautiful [IMPLY] elegan... | Proof chain:
Cannot apply rule “weary ∧ pessimistic ⇒ beautiful” because missing: weary, pessimistic.
Cannot apply rule “zealous ∧ muddy ⇒ beautiful” because missing: muddy.
attentive ⇒ elegant
Cannot apply rule “elegant ∧ friendly ∧ muddy ⇒ beautiful” because missing: friendly, muddy.
| 0 | 4 |
Facts: Batman is sleepy [PERIOD] Batman is broad-minded [PERIOD] Batman is fearless [PERIOD] Batman is good [PERIOD] Batman is dull [PERIOD] Batman is impartial [PERIOD] Batman is attentive [PERIOD]
Rules:
broad-minded [AND] good [IMPLY] versatile [PERIOD]
hypocritical [AND] clean [AND] lonely [IMPLY] adorable [PERIOD... | Proof chain:
Cannot apply rule “muddy ∧ tense ⇒ disobedient” because missing: muddy, tense.
Cannot apply rule “wandering ⇒ disobedient” because missing: wandering.
Cannot apply rule “dull ∧ talkative ∧ clean ⇒ disobedient” because missing: talkative, clean.
Cannot apply rule “fine ∧ helpful ⇒ disobedient” b... | 0 | 4 |
Facts: Batman is distinct [PERIOD] Batman is mean [PERIOD] Batman is proud [PERIOD] Batman is strange [PERIOD]
Rules:
distinct [AND] tender [IMPLY] dull [PERIOD]
anxious [IMPLY] dull [PERIOD]
careless [AND] mean [AND] anxious [IMPLY] unpleasant [PERIOD]
anxious [AND] stormy [IMPLY] elated [PERIOD]
victorious [AND] dis... | Proof chain:
distinct ∧ strange ⇒ victorious
victorious ⇒ bright
strange ⇒ anxious
bright ∧ anxious ∧ strange ⇒ lonely
| 1 | 4 |
Facts: Batman is powerful [PERIOD] Batman is bright [PERIOD] Batman is witty [PERIOD] Batman is troubled [PERIOD] Batman is rude [PERIOD] Batman is reserved [PERIOD] Batman is bad-tempered [PERIOD] Batman is shiny [PERIOD] Batman is hilarious [PERIOD] Batman is fancy [PERIOD] Batman is average [PERIOD]
Rules:
troubled... | Proof chain:
bad-tempered ∧ bright ⇒ wide-eyed
wide-eyed ∧ average ∧ powerful ⇒ charming
bad-tempered ∧ shiny ∧ charming ⇒ broad-minded
broad-minded ∧ rude ∧ witty ⇒ busy
| 1 | 4 |
Facts: Batman is tender [PERIOD] Batman is fancy [PERIOD]
Rules:
broad-minded [IMPLY] easy [PERIOD]
supportive [IMPLY] jittery [PERIOD]
easy [IMPLY] calm [PERIOD]
supportive [AND] fancy [AND] comfortable [IMPLY] powerful [PERIOD]
broad-minded [IMPLY] jittery [PERIOD]
easy [AND] tender [IMPLY] comfortable [PERIOD]
easy... | Proof chain:
tender ⇒ tense
fancy ⇒ supportive
supportive ⇒ comfortable
tense ∧ tender ∧ comfortable ⇒ blushing
| 1 | 4 |
Facts: Batman is elated [PERIOD] Batman is intellectual [PERIOD] Batman is stubborn [PERIOD]
Rules:
clumsy [AND] average [IMPLY] bored [PERIOD]
grumpy [IMPLY] muddy [PERIOD]
amused [IMPLY] supportive [PERIOD]
jittery [IMPLY] average [PERIOD]
plain [AND] talkative [IMPLY] thoughtless [PERIOD]
cooperative [AND] cruel [A... | Proof chain:
intellectual ⇒ bored
bored ⇒ grumpy
grumpy ∧ intellectual ∧ stubborn ⇒ plain
plain ⇒ average
| 1 | 4 |
Facts: Batman is busy [PERIOD]
Rules:
comfortable [IMPLY] exuberant [PERIOD]
smart [AND] shy [IMPLY] impartial [PERIOD]
sleepy [AND] hypocritical [AND] weary [IMPLY] shy [PERIOD]
tense [AND] straightforward [IMPLY] combative [PERIOD]
comfortable [AND] rational [IMPLY] wrong [PERIOD]
impartial [AND] tired [IMPLY] smart... | Proof chain:
Cannot apply rule “rude ∧ tired ∧ wrong ⇒ excited” because missing: rude, tired, wrong.
Cannot apply rule “distinct ∧ frightened ∧ smart ⇒ excited” because missing: distinct, frightened, smart.
Cannot apply rule “frightened ∧ tense ∧ grumpy ⇒ excited” because missing: frightened, tense, grumpy.
... | 0 | 4 |
Facts: Batman is worried [PERIOD]
Rules:
victorious [AND] precious [AND] condemned [IMPLY] outstanding [PERIOD]
worried [AND] broad-minded [AND] condemned [IMPLY] straightforward [PERIOD]
helpful [IMPLY] outstanding [PERIOD]
broad-minded [IMPLY] condemned [PERIOD]
helpful [AND] outstanding [IMPLY] straightforward [PER... | Proof chain:
Cannot apply rule “broad-minded ⇒ condemned” because missing: broad-minded.
Cannot apply rule “outstanding ∧ straightforward ⇒ condemned” because missing: outstanding, straightforward.
Cannot apply rule “precious ∧ outstanding ∧ victorious ⇒ condemned” because missing: precious, outstanding, victo... | 0 | 4 |
Facts: Batman is clumsy [PERIOD] Batman is intellectual [PERIOD] Batman is tired [PERIOD] Batman is friendly [PERIOD] Batman is combative [PERIOD] Batman is easy [PERIOD] Batman is worrisome [PERIOD] Batman is serious [PERIOD] Batman is fancy [PERIOD]
Rules:
inquisitive [AND] combative [AND] light [IMPLY] thoughtless ... | Proof chain:
combative ∧ friendly ⇒ zealous
easy ∧ zealous ⇒ jittery
combative ∧ friendly ⇒ zealous
jittery ∧ zealous ⇒ inquisitive
| 1 | 4 |
Facts: Batman is clumsy [PERIOD] Batman is fearless [PERIOD]
Rules:
wide-eyed [AND] uptight [AND] straightforward [IMPLY] cute [PERIOD]
vivacious [AND] hurt [IMPLY] straightforward [PERIOD]
ugliest [AND] fearless [AND] clumsy [IMPLY] broad-minded [PERIOD]
wide-eyed [IMPLY] fearless [PERIOD]
helpful [AND] distinct [AND... | Proof chain:
clumsy ⇒ straightforward
straightforward ⇒ ugliest
ugliest ∧ fearless ∧ clumsy ⇒ broad-minded
broad-minded ⇒ helpless
| 1 | 4 |
Facts: Batman is frail [PERIOD] Batman is bad-tempered [PERIOD] Batman is courageous [PERIOD] Batman is comfortable [PERIOD] Batman is powerful [PERIOD] Batman is naughty [PERIOD] Batman is frantic [PERIOD] Batman is light [PERIOD] Batman is sleepy [PERIOD] Batman is helpless [PERIOD] Batman is ambitious [PERIOD] Batm... | Proof chain:
courageous ⇒ thoughtless
light ⇒ disgusted
light ⇒ jittery
thoughtless ∧ disgusted ∧ jittery ⇒ vivacious
| 1 | 4 |
Facts:
Rules:
ugly [AND] tired [IMPLY] frantic [PERIOD]
worried [AND] grumpy [IMPLY] tired [PERIOD]
ugly [AND] tired [AND] old-fashioned [IMPLY] grumpy [PERIOD]
ugly [AND] grumpy [IMPLY] tired [PERIOD]
frantic [AND] old-fashioned [AND] worried [IMPLY] popular [PERIOD]
grumpy [IMPLY] worried [PERIOD]
tired [IMPLY] ugly... | Proof chain:
Cannot apply rule “worried ∧ grumpy ⇒ tired” because missing: worried, grumpy.
Cannot apply rule “ugly ∧ grumpy ⇒ tired” because missing: ugly, grumpy.
Cannot apply rule “old-fashioned ∧ frantic ⇒ tired” because missing: old-fashioned, frantic.
Cannot apply rule “ugly ⇒ tired” because missing: ... | 0 | 4 |
Facts: Batman is inquisitive [PERIOD] Batman is charming [PERIOD] Batman is straightforward [PERIOD] Batman is stubborn [PERIOD] Batman is condemned [PERIOD] Batman is long [PERIOD] Batman is combative [PERIOD] Batman is intellectual [PERIOD] Batman is clumsy [PERIOD] Batman is naughty [PERIOD] Batman is outrageous [P... | Proof chain:
condemned ⇒ outstanding
clumsy ∧ outstanding ⇒ calm
inquisitive ⇒ excited
calm ∧ excited ∧ clumsy ⇒ glamorous
| 1 | 4 |
Facts:
Rules:
reserved [AND] lucky [AND] grumpy [IMPLY] disobedient [PERIOD]
cruel [IMPLY] inquisitive [PERIOD]
inexpensive [IMPLY] lucky [PERIOD]
scared [AND] courageous [AND] inexpensive [IMPLY] blushing [PERIOD]
quaint [IMPLY] grumpy [PERIOD]
calm [AND] proud [AND] spotless [IMPLY] inexpensive [PERIOD]
diplomatic [... | Proof chain:
Cannot apply rule “reserved ∧ lucky ∧ grumpy ⇒ disobedient” because missing: reserved, lucky, grumpy.
Cannot apply rule “inquisitive ∧ diplomatic ∧ reserved ⇒ disobedient” because missing: inquisitive, diplomatic, reserved.
Cannot apply rule “scared ∧ blushing ∧ bossy ⇒ disobedient” because missin... | 0 | 4 |
Facts: Batman is confident [PERIOD] Batman is confused [PERIOD]
Rules:
busy [AND] courageous [IMPLY] cruel [PERIOD]
confused [AND] proud [IMPLY] busy [PERIOD]
courageous [IMPLY] busy [PERIOD]
cruel [IMPLY] courageous [PERIOD]
busy [AND] confident [IMPLY] courageous [PERIOD]
proud [AND] confused [IMPLY] confident [PERI... | Proof chain:
Cannot apply rule “busy ∧ courageous ∧ cruel ⇒ proud” because missing: busy, courageous, cruel.
Cannot apply rule “courageous ⇒ proud” because missing: courageous.
Cannot apply rule “busy ⇒ proud” because missing: busy.
Cannot apply rule “confused ∧ busy ⇒ proud” because missing: busy.
| 0 | 4 |
Facts:
Rules:
plain [IMPLY] excited [PERIOD]
wrong [AND] plain [IMPLY] rational [PERIOD]
long [AND] enchanting [AND] straightforward [IMPLY] rational [PERIOD]
straightforward [AND] enchanting [IMPLY] agreeable [PERIOD]
selfish [AND] elated [AND] long [IMPLY] rude [PERIOD]
selfish [AND] distinct [AND] tidy [IMPLY] elat... | Proof chain:
Cannot apply rule “selfish ∧ elated ∧ long ⇒ rude” because missing: selfish, elated, long.
Cannot apply rule “modern ⇒ rude” because missing: modern.
Cannot apply rule “easy ⇒ rude” because missing: easy.
Cannot apply rule “tired ∧ witty ∧ rational ⇒ rude” because missing: tired, witty, rationa... | 0 | 4 |
Facts: Batman is stubborn [PERIOD] Batman is diplomatic [PERIOD] Batman is impartial [PERIOD] Batman is adorable [PERIOD] Batman is ugly [PERIOD]
Rules:
gorgeous [IMPLY] scared [PERIOD]
victorious [AND] impartial [AND] powerful [IMPLY] crowded [PERIOD]
stupid [AND] disobedient [AND] stubborn [IMPLY] adorable [PERIOD]
... | Proof chain:
diplomatic ⇒ charming
diplomatic ∧ charming ⇒ scared
scared ⇒ amused
amused ⇒ joyous
| 1 | 4 |
Facts: Batman is lonely [PERIOD] Batman is uptight [PERIOD]
Rules:
thoughtful [IMPLY] uptight [PERIOD]
crowded [AND] lonely [IMPLY] uptight [PERIOD]
worried [AND] crowded [AND] zealous [IMPLY] lucky [PERIOD]
zealous [AND] condemned [AND] thoughtless [IMPLY] thoughtful [PERIOD]
confident [AND] thoughtless [IMPLY] conde... | Proof chain:
uptight ⇒ worried
worried ⇒ thoughtful
uptight ⇒ confident
uptight ∧ thoughtful ∧ confident ⇒ crowded
| 1 | 4 |
Facts: Batman is smart [PERIOD] Batman is fearless [PERIOD] Batman is joyous [PERIOD] Batman is scared [PERIOD]
Rules:
troubled [AND] inexpensive [AND] smart [IMPLY] lonely [PERIOD]
worried [IMPLY] inexpensive [PERIOD]
troubled [IMPLY] scared [PERIOD]
worried [IMPLY] plain [PERIOD]
smart [IMPLY] fearless [PERIOD]
dish... | Proof chain:
Cannot apply rule “dishonest ∧ troubled ∧ precious ⇒ condemned” because missing: dishonest, troubled, precious.
Cannot apply rule “worried ∧ dishonest ∧ plain ⇒ condemned” because missing: worried, dishonest, plain.
Cannot apply rule “precious ∧ joyous ∧ worried ⇒ condemned” because missing: preci... | 0 | 4 |
Facts: Batman is courageous [PERIOD] Batman is messy [PERIOD]
Rules:
curious [AND] courageous [AND] easy [IMPLY] stormy [PERIOD]
stormy [AND] shy [IMPLY] quaint [PERIOD]
curious [AND] stormy [IMPLY] cooperative [PERIOD]
shy [AND] curious [AND] stormy [IMPLY] cooperative [PERIOD]
easy [AND] pleasant [AND] curious [IMPL... | Proof chain:
Cannot apply rule “shy ∧ courageous ∧ pleasant ⇒ easy” because missing: shy, pleasant.
Cannot apply rule “cooperative ∧ quaint ∧ shy ⇒ easy” because missing: cooperative, quaint, shy.
Cannot apply rule “cooperative ⇒ easy” because missing: cooperative.
Cannot apply rule “stormy ⇒ easy” because ... | 0 | 4 |
Facts: Batman is broad-minded [PERIOD] Batman is inexpensive [PERIOD] Batman is attractive [PERIOD] Batman is outrageous [PERIOD] Batman is light [PERIOD] Batman is inquisitive [PERIOD] Batman is tense [PERIOD] Batman is bored [PERIOD] Batman is fine [PERIOD] Batman is intellectual [PERIOD] Batman is clumsy [PERIOD] B... | Proof chain:
fine ∧ ambitious ∧ crowded ⇒ frantic
serious ∧ broad-minded ∧ frantic ⇒ friendly
fine ∧ ambitious ∧ crowded ⇒ frantic
friendly ∧ light ∧ frantic ⇒ lucky
| 1 | 4 |
Facts: Batman is gleaming [PERIOD] Batman is stubborn [PERIOD] Batman is polite [PERIOD]
Rules:
impatient [AND] popular [IMPLY] shy [PERIOD]
tidy [AND] stubborn [IMPLY] lonely [PERIOD]
tidy [AND] polite [IMPLY] lonely [PERIOD]
comfortable [IMPLY] tidy [PERIOD]
popular [AND] beautiful [AND] shy [IMPLY] rude [PERIOD]
im... | Proof chain:
stubborn ⇒ smart
smart ⇒ fine
fine ⇒ beautiful
gleaming ∧ stubborn ∧ beautiful ⇒ tired
| 1 | 4 |
Facts:
Rules:
popular [AND] careless [AND] innocent [IMPLY] gifted [PERIOD]
gifted [IMPLY] troubled [PERIOD]
innocent [AND] gifted [AND] troubled [IMPLY] popular [PERIOD]
innocent [AND] careless [AND] popular [IMPLY] bright [PERIOD]
troubled [AND] gifted [AND] popular [IMPLY] bright [PERIOD]
troubled [AND] inexpensive... | Proof chain:
Cannot apply rule “gifted ⇒ troubled” because missing: gifted.
Cannot apply rule “inexpensive ∧ innocent ⇒ troubled” because missing: inexpensive, innocent.
Cannot apply rule “bright ∧ inexpensive ⇒ troubled” because missing: bright, inexpensive.
Cannot apply rule “innocent ∧ gifted ⇒ troubled”... | 0 | 4 |
Facts: Batman is powerful [PERIOD] Batman is disgusted [PERIOD] Batman is muddy [PERIOD]
Rules:
muddy [IMPLY] powerful [PERIOD]
disgusted [AND] powerful [AND] stubborn [IMPLY] horrible [PERIOD]
straightforward [AND] powerful [IMPLY] disgusted [PERIOD]
stupid [AND] straightforward [AND] gleaming [IMPLY] stubborn [PERIO... | Proof chain:
muddy ⇒ stubborn
disgusted ⇒ horrible
horrible ∧ disgusted ⇒ stupid
muddy ∧ stubborn ∧ stupid ⇒ straightforward
| 1 | 4 |
Facts: Batman is friendly [PERIOD]
Rules:
old-fashioned [AND] foolish [IMPLY] friendly [PERIOD]
talented [AND] precious [IMPLY] comfortable [PERIOD]
rude [AND] hilarious [AND] comfortable [IMPLY] different [PERIOD]
precious [IMPLY] comfortable [PERIOD]
rude [IMPLY] different [PERIOD]
different [AND] hilarious [AND] ta... | Proof chain:
Cannot apply rule “talented ∧ precious ⇒ comfortable” because missing: talented, precious.
Cannot apply rule “precious ⇒ comfortable” because missing: precious.
Cannot apply rule “friendly ∧ adorable ⇒ comfortable” because missing: adorable.
Cannot apply rule “talented ∧ old-fashioned ∧ tame ⇒ ... | 0 | 4 |
Facts:
Rules:
fearless [AND] helpless [AND] precious [IMPLY] tame [PERIOD]
fine [AND] precious [AND] fearless [IMPLY] busy [PERIOD]
busy [AND] precious [IMPLY] fine [PERIOD]
thoughtless [AND] fine [AND] embarrassed [IMPLY] fearless [PERIOD]
thoughtless [IMPLY] precious [PERIOD]
fine [IMPLY] helpless [PERIOD]
busy [AND... | Proof chain:
Cannot apply rule “fine ⇒ helpless” because missing: fine.
Cannot apply rule “busy ∧ fine ⇒ helpless” because missing: busy, fine.
Cannot apply rule “busy ∧ embarrassed ∧ thoughtless ⇒ helpless” because missing: busy, embarrassed, thoughtless.
Cannot apply rule “joyous ⇒ helpless” because missi... | 0 | 4 |
Facts: Batman is sensible [PERIOD] Batman is crowded [PERIOD] Batman is fancy [PERIOD] Batman is talkative [PERIOD] Batman is strange [PERIOD] Batman is ugliest [PERIOD] Batman is careless [PERIOD] Batman is combative [PERIOD] Batman is outrageous [PERIOD] Batman is tense [PERIOD]
Rules:
vivacious [AND] condemned [AND... | Proof chain:
crowded ⇒ selfish
selfish ∧ talkative ∧ combative ⇒ beautiful
strange ∧ beautiful ∧ outrageous ⇒ wrong
wrong ⇒ clean
| 1 | 4 |
Facts: Batman is innocent [PERIOD] Batman is powerful [PERIOD]
Rules:
different [AND] innocent [IMPLY] silly [PERIOD]
shiny [AND] powerful [AND] famous [IMPLY] selfish [PERIOD]
powerful [AND] tame [IMPLY] silly [PERIOD]
mean [AND] ugly [IMPLY] powerful [PERIOD]
homely [AND] naughty [AND] silly [IMPLY] busy [PERIOD]
am... | Proof chain:
powerful ⇒ tame
tame ⇒ outrageous
powerful ∧ outrageous ⇒ mean
mean ⇒ different
| 1 | 4 |
Facts: Batman is frail [PERIOD]
Rules:
plain [AND] hypocritical [IMPLY] anxious [PERIOD]
clean [AND] plain [AND] tense [IMPLY] selfish [PERIOD]
frail [AND] vivacious [IMPLY] outstanding [PERIOD]
frail [IMPLY] mysterious [PERIOD]
outstanding [AND] clean [AND] adorable [IMPLY] tense [PERIOD]
mysterious [AND] plain [IMPL... | Proof chain:
frail ⇒ mysterious
mysterious ⇒ talented
talented ⇒ tense
tense ∧ frail ⇒ beautiful
| 1 | 4 |
Facts: Batman is ambitious [PERIOD] Batman is uptight [PERIOD] Batman is anxious [PERIOD] Batman is confused [PERIOD] Batman is diplomatic [PERIOD] Batman is versatile [PERIOD] Batman is amused [PERIOD] Batman is smart [PERIOD] Batman is witty [PERIOD] Batman is worried [PERIOD] Batman is impatient [PERIOD] Batman is ... | Proof chain:
disgusted ⇒ horrible
horrible ∧ anxious ⇒ cute
diplomatic ∧ cute ∧ disgusted ⇒ zealous
diplomatic ∧ zealous ⇒ difficult
| 1 | 4 |
Facts: Batman is witty [PERIOD]
Rules:
combative [AND] rude [AND] clumsy [IMPLY] witty [PERIOD]
rude [IMPLY] clumsy [PERIOD]
tender [AND] rude [IMPLY] combative [PERIOD]
rude [AND] combative [IMPLY] tender [PERIOD]
witty [AND] clumsy [IMPLY] confused [PERIOD]
combative [AND] witty [IMPLY] tender [PERIOD]
clumsy [IMPLY... | Proof chain:
Cannot apply rule “rude ∧ combative ⇒ tender” because missing: rude, combative.
Cannot apply rule “combative ∧ witty ⇒ tender” because missing: combative.
Cannot apply rule “clumsy ⇒ tender” because missing: clumsy.
Cannot apply rule “combative ⇒ tender” because missing: combative.
| 0 | 4 |
Facts: Batman is talkative [PERIOD] Batman is different [PERIOD] Batman is wandering [PERIOD] Batman is thoughtless [PERIOD] Batman is crowded [PERIOD] Batman is homely [PERIOD] Batman is pleasant [PERIOD] Batman is confused [PERIOD] Batman is pessimistic [PERIOD] Batman is bored [PERIOD]
Rules:
busy [IMPLY] disgusted... | Proof chain:
different ⇒ famous
confused ∧ famous ⇒ excited
excited ⇒ busy
busy ⇒ naughty
| 1 | 4 |
Facts: Batman is busy [PERIOD] Batman is witty [PERIOD] Batman is proud [PERIOD]
Rules:
stormy [AND] elegant [IMPLY] nervous [PERIOD]
elegant [AND] rational [AND] straightforward [IMPLY] supportive [PERIOD]
nervous [IMPLY] witty [PERIOD]
witty [AND] proud [AND] rude [IMPLY] charming [PERIOD]
disgusted [AND] rude [IMPL... | Proof chain:
witty ⇒ innocent
proud ∧ innocent ⇒ disgusted
disgusted ∧ proud ⇒ versatile
versatile ⇒ scared
| 1 | 4 |
Facts:
Rules:
cooperative [IMPLY] vivacious [PERIOD]
witty [AND] powerful [IMPLY] beautiful [PERIOD]
mysterious [IMPLY] witty [PERIOD]
witty [IMPLY] mysterious [PERIOD]
cooperative [AND] popular [AND] witty [IMPLY] mysterious [PERIOD]
witty [IMPLY] outstanding [PERIOD]
beautiful [IMPLY] popular [PERIOD]
powerful [IMPL... | Proof chain:
Cannot apply rule “cooperative ⇒ vivacious” because missing: cooperative.
Cannot apply rule “outstanding ⇒ vivacious” because missing: outstanding.
Cannot apply rule “mysterious ⇒ vivacious” because missing: mysterious.
Cannot apply rule “intellectual ∧ fragile ∧ beautiful ⇒ vivacious” because ... | 0 | 4 |
Facts: Batman is excited [PERIOD] Batman is hilarious [PERIOD] Batman is friendly [PERIOD]
Rules:
victorious [AND] gorgeous [AND] pessimistic [IMPLY] mysterious [PERIOD]
aggressive [IMPLY] gorgeous [PERIOD]
victorious [IMPLY] naughty [PERIOD]
clumsy [AND] excited [AND] gorgeous [IMPLY] outstanding [PERIOD]
mysterious ... | Proof chain:
Cannot apply rule “aggressive ⇒ gorgeous” because missing: aggressive.
Cannot apply rule “aggressive ∧ silly ∧ cruel ⇒ gorgeous” because missing: aggressive, silly, cruel.
friendly ⇒ stubborn
Cannot apply rule “messy ∧ stubborn ∧ clumsy ⇒ gorgeous” because missing: messy, clumsy.
| 0 | 4 |
Facts: Batman is powerful [PERIOD] Batman is joyous [PERIOD] Batman is bossy [PERIOD]
Rules:
impatient [IMPLY] uptight [PERIOD]
tired [IMPLY] excited [PERIOD]
weary [IMPLY] sleepy [PERIOD]
uptight [AND] messy [AND] exuberant [IMPLY] bossy [PERIOD]
sleepy [AND] bossy [AND] ugliest [IMPLY] gleaming [PERIOD]
joyous [IMPL... | Proof chain:
joyous ⇒ messy
messy ∧ bossy ⇒ outstanding
bossy ⇒ aggressive
powerful ∧ outstanding ∧ aggressive ⇒ friendly
| 1 | 4 |
Facts: Batman is tame [PERIOD] Batman is hypocritical [PERIOD] Batman is smart [PERIOD] Batman is outstanding [PERIOD] Batman is serious [PERIOD]
Rules:
tame [AND] frantic [IMPLY] easy [PERIOD]
tame [IMPLY] light [PERIOD]
easy [AND] smart [IMPLY] elated [PERIOD]
attractive [AND] frantic [IMPLY] precious [PERIOD]
frant... | Proof chain:
serious ⇒ gifted
gifted ⇒ ambitious
ambitious ⇒ lonely
lonely ⇒ famous
| 1 | 4 |
Facts: Batman is gorgeous [PERIOD] Batman is broad-minded [PERIOD] Batman is different [PERIOD]
Rules:
homely [AND] naughty [AND] silly [IMPLY] gorgeous [PERIOD]
different [IMPLY] naughty [PERIOD]
jittery [AND] crowded [IMPLY] tender [PERIOD]
naughty [IMPLY] busy [PERIOD]
silly [AND] different [IMPLY] pleasant [PERIOD... | Proof chain:
different ⇒ naughty
Cannot apply rule “naughty ∧ tender ⇒ crowded” because missing: tender.
different ⇒ perfect
Cannot apply rule “clumsy ∧ stormy ∧ perfect ⇒ crowded” because missing: clumsy, stormy.
| 0 | 4 |
Facts: Batman is thoughtful [PERIOD] Batman is quaint [PERIOD] Batman is cruel [PERIOD] Batman is excited [PERIOD] Batman is outrageous [PERIOD] Batman is nervous [PERIOD] Batman is lonely [PERIOD] Batman is horrible [PERIOD] Batman is charming [PERIOD] Batman is unpleasant [PERIOD] Batman is fearless [PERIOD]
Rules:
... | Proof chain:
excited ∧ fearless ⇒ innocent
excited ∧ innocent ⇒ loving
quaint ∧ loving ⇒ condemned
condemned ∧ unpleasant ⇒ easy
| 1 | 4 |
Facts: Batman is ugly [PERIOD]
Rules:
hurt [AND] bright [AND] talented [IMPLY] powerful [PERIOD]
powerful [AND] talkative [IMPLY] homely [PERIOD]
talented [AND] fine [IMPLY] scared [PERIOD]
ugly [AND] powerful [IMPLY] impartial [PERIOD]
talented [AND] impartial [AND] homely [IMPLY] powerful [PERIOD]
homely [AND] hurt ... | Proof chain:
Cannot apply rule “fine ⇒ talented” because missing: fine.
Cannot apply rule “bright ∧ fine ⇒ talented” because missing: bright, fine.
ugly ⇒ powerful
Cannot apply rule “hurt ∧ powerful ∧ talkative ⇒ talented” because missing: hurt, talkative.
| 0 | 4 |
Facts:
Rules:
plain [AND] serious [IMPLY] different [PERIOD]
outstanding [AND] busy [AND] curious [IMPLY] wrong [PERIOD]
smart [AND] outstanding [IMPLY] serious [PERIOD]
versatile [AND] curious [AND] easy [IMPLY] plain [PERIOD]
calm [IMPLY] easy [PERIOD]
worrisome [AND] average [IMPLY] cooperative [PERIOD]
smart [AND]... | Proof chain:
Cannot apply rule “serious ∧ different ∧ plain ⇒ versatile” because missing: serious, different, plain.
Cannot apply rule “serious ∧ plain ⇒ versatile” because missing: serious, plain.
Cannot apply rule “curious ∧ serious ⇒ versatile” because missing: curious, serious.
Cannot apply rule “worris... | 0 | 4 |
Facts: Batman is gifted [PERIOD]
Rules:
wandering [IMPLY] horrible [PERIOD]
cruel [IMPLY] wandering [PERIOD]
pleasant [AND] gifted [IMPLY] difficult [PERIOD]
difficult [IMPLY] reserved [PERIOD]
popular [AND] horrible [AND] gifted [IMPLY] difficult [PERIOD]
gifted [AND] cruel [IMPLY] difficult [PERIOD]
frightened [IMPL... | Proof chain:
gifted ⇒ frightened
gifted ⇒ frightened
frightened ⇒ reserved
frightened ∧ reserved ⇒ cruel
| 1 | 4 |
Facts: Batman is cute [PERIOD]
Rules:
diplomatic [AND] glamorous [AND] cute [IMPLY] tidy [PERIOD]
diplomatic [AND] cute [AND] popular [IMPLY] ugly [PERIOD]
cute [AND] tidy [IMPLY] aggressive [PERIOD]
diplomatic [IMPLY] shy [PERIOD]
worried [AND] aggressive [IMPLY] strange [PERIOD]
glamorous [IMPLY] worried [PERIOD]
up... | Proof chain:
Cannot apply rule “cute ∧ tidy ⇒ aggressive” because missing: tidy.
Cannot apply rule “popular ∧ uptight ⇒ aggressive” because missing: popular, uptight.
Cannot apply rule “tidy ∧ worried ∧ smart ⇒ aggressive” because missing: tidy, worried, smart.
Cannot apply rule “worried ∧ tidy ∧ cute ⇒ agg... | 0 | 4 |
Facts: Batman is bright [PERIOD] Batman is frantic [PERIOD] Batman is gleaming [PERIOD]
Rules:
friendly [AND] impatient [IMPLY] ambitious [PERIOD]
courageous [AND] broad-minded [IMPLY] nervous [PERIOD]
clumsy [AND] bright [AND] clean [IMPLY] good [PERIOD]
victorious [IMPLY] different [PERIOD]
old-fashioned [AND] coura... | Proof chain:
frantic ∧ gleaming ⇒ ambitious
ambitious ⇒ busy
busy ⇒ fine
fine ⇒ victorious
| 1 | 4 |
Facts:
Rules:
scared [AND] disobedient [AND] grumpy [IMPLY] cute [PERIOD]
cute [IMPLY] scared [PERIOD]
grumpy [AND] cute [IMPLY] scared [PERIOD]
grumpy [AND] cute [IMPLY] fearless [PERIOD]
grumpy [AND] fearless [AND] cute [IMPLY] scared [PERIOD]
grumpy [AND] disobedient [IMPLY] scared [PERIOD]
scared [IMPLY] cute [PER... | Proof chain:
Cannot apply rule “cute ⇒ scared” because missing: cute.
Cannot apply rule “grumpy ∧ cute ⇒ scared” because missing: grumpy, cute.
Cannot apply rule “grumpy ∧ fearless ∧ cute ⇒ scared” because missing: grumpy, fearless, cute.
Cannot apply rule “grumpy ∧ disobedient ⇒ scared” because missing: gr... | 0 | 4 |
Facts:
Rules:
condemned [AND] good [AND] outstanding [IMPLY] wrong [PERIOD]
sleepy [AND] famous [AND] good [IMPLY] wrong [PERIOD]
loving [AND] disgusted [IMPLY] zealous [PERIOD]
troubled [IMPLY] tidy [PERIOD]
serious [IMPLY] zealous [PERIOD]
proud [AND] bored [IMPLY] serious [PERIOD]
serious [AND] disgusted [IMPLY] cl... | Proof chain:
Cannot apply rule “zealous ⇒ famous” because missing: zealous.
Cannot apply rule “clumsy ∧ zealous ⇒ famous” because missing: clumsy, zealous.
Cannot apply rule “silly ∧ outstanding ∧ aggressive ⇒ famous” because missing: silly, outstanding, aggressive.
Cannot apply rule “clean ⇒ famous” becaus... | 0 | 4 |
Facts: Batman is easy [PERIOD]
Rules:
cruel [AND] shy [IMPLY] ambitious [PERIOD]
ugly [IMPLY] cruel [PERIOD]
shy [AND] foolish [IMPLY] easy [PERIOD]
shy [IMPLY] polite [PERIOD]
foolish [AND] charming [AND] distinct [IMPLY] ugly [PERIOD]
easy [IMPLY] cruel [PERIOD]
ugly [AND] ambitious [AND] easy [IMPLY] shy [PERIOD]
f... | Proof chain:
easy ⇒ cruel
cruel ⇒ foolish
foolish ⇒ shy
shy ⇒ charming
| 1 | 4 |
Facts:
Rules:
tame [AND] combative [AND] grumpy [IMPLY] broad-minded [PERIOD]
tame [IMPLY] grumpy [PERIOD]
average [IMPLY] gleaming [PERIOD]
combative [IMPLY] versatile [PERIOD]
plain [IMPLY] combative [PERIOD]
plain [AND] grumpy [AND] versatile [IMPLY] average [PERIOD]
gleaming [IMPLY] broad-minded [PERIOD]
broad-min... | Proof chain:
Cannot apply rule “average ∧ tame ∧ plain ⇒ worried” because missing: average, tame, plain.
Cannot apply rule “average ∧ vivacious ∧ broad-minded ⇒ worried” because missing: average, vivacious, broad-minded.
Cannot apply rule “versatile ⇒ worried” because missing: versatile.
Cannot apply rule “... | 0 | 4 |
Facts:
Rules:
fancy [AND] light [AND] amused [IMPLY] mean [PERIOD]
amused [AND] light [AND] fancy [IMPLY] comfortable [PERIOD]
comfortable [AND] amused [IMPLY] mean [PERIOD]
amused [AND] comfortable [AND] fancy [IMPLY] light [PERIOD]
amused [AND] mean [AND] light [IMPLY] fancy [PERIOD]
comfortable [AND] light [AND] me... | Proof chain:
Cannot apply rule “amused ∧ comfortable ∧ fancy ⇒ light” because missing: amused, comfortable, fancy.
Cannot apply rule “mean ∧ comfortable ⇒ light” because missing: mean, comfortable.
Cannot apply rule “mean ∧ amused ∧ fancy ⇒ light” because missing: mean, amused, fancy.
Cannot apply rule “mea... | 0 | 4 |
Facts: Batman is diplomatic [PERIOD] Batman is stubborn [PERIOD] Batman is attractive [PERIOD]
Rules:
hilarious [AND] weary [IMPLY] frightened [PERIOD]
mysterious [AND] attractive [AND] confident [IMPLY] witty [PERIOD]
troubled [IMPLY] impartial [PERIOD]
impartial [AND] mysterious [IMPLY] confident [PERIOD]
versatile ... | Proof chain:
stubborn ⇒ confident
confident ∧ diplomatic ⇒ joyous
Cannot apply rule “sleepy ∧ joyous ⇒ troubled” because missing: sleepy.
Cannot apply rule “combative ∧ weary ∧ charming ⇒ troubled” because missing: combative, weary, charming.
| 0 | 4 |
Facts:
Rules:
light [AND] powerful [IMPLY] impatient [PERIOD]
exuberant [AND] lucky [IMPLY] glamorous [PERIOD]
glamorous [AND] tender [AND] impatient [IMPLY] muddy [PERIOD]
modern [AND] polite [IMPLY] glamorous [PERIOD]
modern [IMPLY] light [PERIOD]
disgusted [IMPLY] easy [PERIOD]
average [AND] modern [IMPLY] muddy [P... | Proof chain:
Cannot apply rule “disgusted ∧ glamorous ∧ foolish ⇒ proud” because missing: disgusted, glamorous, foolish.
Cannot apply rule “easy ∧ tender ∧ exuberant ⇒ proud” because missing: easy, tender, exuberant.
Cannot apply rule “charming ⇒ proud” because missing: charming.
Cannot apply rule “tender ⇒... | 0 | 4 |
Facts:
Rules:
broad-minded [IMPLY] messy [PERIOD]
reserved [AND] charming [IMPLY] impatient [PERIOD]
impatient [AND] messy [AND] busy [IMPLY] charming [PERIOD]
broad-minded [AND] worried [IMPLY] impatient [PERIOD]
impatient [AND] broad-minded [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] charming [PERIOD]
reserved [A... | Proof chain:
Cannot apply rule “busy ∧ charming ∧ reserved ⇒ worried” because missing: busy, charming, reserved.
Cannot apply rule “charming ⇒ worried” because missing: charming.
Cannot apply rule “broad-minded ∧ shiny ∧ impatient ⇒ worried” because missing: broad-minded, shiny, impatient.
Cannot apply rule... | 0 | 4 |
Facts: Batman is old-fashioned [PERIOD]
Rules:
attentive [AND] difficult [IMPLY] bright [PERIOD]
adorable [IMPLY] difficult [PERIOD]
reserved [AND] broad-minded [AND] frightened [IMPLY] impartial [PERIOD]
gifted [AND] proud [IMPLY] lonely [PERIOD]
difficult [AND] old-fashioned [IMPLY] cooperative [PERIOD]
adorable [IM... | Proof chain:
old-fashioned ⇒ attentive
old-fashioned ⇒ difficult
attentive ∧ difficult ⇒ bright
bright ⇒ quaint
| 1 | 4 |
Facts: Batman is worried [PERIOD] Batman is powerful [PERIOD] Batman is jittery [PERIOD] Batman is shiny [PERIOD] Batman is thoughtless [PERIOD] Batman is thoughtful [PERIOD] Batman is fragile [PERIOD] Batman is old-fashioned [PERIOD] Batman is tender [PERIOD]
Rules:
naughty [AND] talkative [IMPLY] modern [PERIOD]
pow... | Proof chain:
thoughtless ∧ worried ∧ old-fashioned ⇒ messy
jittery ⇒ amused
messy ∧ amused ∧ fragile ⇒ talkative
talkative ⇒ spotless
| 1 | 4 |
Facts: Batman is homely [PERIOD] Batman is pessimistic [PERIOD]
Rules:
enchanting [AND] naughty [IMPLY] helpless [PERIOD]
intellectual [IMPLY] homely [PERIOD]
homely [IMPLY] polite [PERIOD]
homely [AND] naughty [IMPLY] serious [PERIOD]
bossy [AND] enchanting [IMPLY] helpless [PERIOD]
polite [AND] careless [IMPLY] boss... | Proof chain:
homely ⇒ naughty
homely ⇒ polite
naughty ∧ polite ⇒ helpless
helpless ⇒ stupid
| 1 | 4 |
Facts:
Rules:
impartial [AND] cruel [IMPLY] plain [PERIOD]
frail [AND] cruel [IMPLY] impartial [PERIOD]
frail [IMPLY] plain [PERIOD]
cruel [AND] selfish [IMPLY] frail [PERIOD]
cruel [IMPLY] impartial [PERIOD]
selfish [IMPLY] plain [PERIOD]
plain [IMPLY] selfish [PERIOD]
impartial [AND] cruel [IMPLY] frail [PERIOD]
cru... | Proof chain:
Cannot apply rule “impartial ∧ cruel ⇒ plain” because missing: impartial, cruel.
Cannot apply rule “frail ⇒ plain” because missing: frail.
Cannot apply rule “selfish ⇒ plain” because missing: selfish.
Cannot apply rule “cruel ∧ selfish ∧ frail ⇒ plain” because missing: cruel, selfish, frail.
| 0 | 4 |
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