Question string | Complex_CoT string | Response int64 | Depth int64 |
|---|---|---|---|
Facts: Batman is tense [PERIOD] Batman is ambitious [PERIOD]
Rules:
uptight [AND] tense [IMPLY] rude [PERIOD]
frantic [AND] shy [IMPLY] tidy [PERIOD]
precious [AND] frantic [IMPLY] tidy [PERIOD]
uptight [IMPLY] precious [PERIOD]
ambitious [IMPLY] tense [PERIOD]
frantic [IMPLY] vivacious [PERIOD]
frantic [AND] tidy [IM... | Proof chain:
Cannot apply rule “tidy ∧ uptight ∧ thoughtful ⇒ shy” because missing: tidy, uptight, thoughtful.
Cannot apply rule “precious ∧ ambitious ∧ thoughtful ⇒ shy” because missing: precious, thoughtful.
Cannot apply rule “uptight ⇒ shy” because missing: uptight.
Cannot apply rule “rude ∧ polite ⇒ shy... | 0 | 5 |
Facts: Batman is broad-minded [PERIOD] Batman is bad-tempered [PERIOD] Batman is wandering [PERIOD]
Rules:
jittery [AND] stormy [AND] tender [IMPLY] gifted [PERIOD]
bad-tempered [AND] curious [AND] tender [IMPLY] wandering [PERIOD]
jittery [AND] lonely [AND] silly [IMPLY] popular [PERIOD]
fearless [AND] victorious [IM... | Proof chain:
broad-minded ⇒ hilarious
hilarious ⇒ exuberant
broad-minded ⇒ hilarious
exuberant ∧ hilarious ⇒ smart
smart ⇒ cooperative
| 1 | 5 |
Facts: Batman is outstanding [PERIOD] Batman is amused [PERIOD] Batman is glamorous [PERIOD] Batman is lucky [PERIOD] Batman is famous [PERIOD] Batman is distinct [PERIOD] Batman is elated [PERIOD]
Rules:
proud [IMPLY] bright [PERIOD]
glamorous [AND] lucky [AND] exuberant [IMPLY] famous [PERIOD]
good [IMPLY] horrible ... | Proof chain:
famous ⇒ horrible
elated ⇒ shiny
outstanding ∧ shiny ⇒ ugliest
ugliest ⇒ good
horrible ∧ amused ∧ good ⇒ proud
| 1 | 5 |
Facts: Batman is precious [PERIOD] Batman is witty [PERIOD]
Rules:
pessimistic [IMPLY] enchanting [PERIOD]
distinct [AND] bad-tempered [IMPLY] vivacious [PERIOD]
disgusted [AND] foolish [AND] witty [IMPLY] vivacious [PERIOD]
gifted [AND] vivacious [AND] confident [IMPLY] excited [PERIOD]
good [AND] distinct [AND] disg... | Proof chain:
precious ⇒ disgusted
disgusted ⇒ distinct
distinct ∧ witty ⇒ foolish
foolish ⇒ excited
Cannot apply rule “excited ∧ frantic ⇒ beautiful” because missing: frantic.
| 0 | 5 |
Facts:
Rules:
strange [IMPLY] silly [PERIOD]
silly [IMPLY] worrisome [PERIOD]
distinct [IMPLY] hypocritical [PERIOD]
ambitious [AND] stormy [AND] precious [IMPLY] silly [PERIOD]
ambitious [AND] silly [IMPLY] homely [PERIOD]
stormy [AND] hypocritical [AND] troubled [IMPLY] homely [PERIOD]
hypocritical [IMPLY] supportiv... | Proof chain:
Cannot apply rule “strange ⇒ silly” because missing: strange.
Cannot apply rule “ambitious ∧ stormy ∧ precious ⇒ silly” because missing: ambitious, stormy, precious.
Cannot apply rule “distinct ⇒ silly” because missing: distinct.
Cannot apply rule “stormy ⇒ silly” because missing: stormy.
Ca... | 0 | 5 |
Facts: Batman is scared [PERIOD] Batman is plain [PERIOD] Batman is troubled [PERIOD] Batman is naughty [PERIOD] Batman is broad-minded [PERIOD] Batman is average [PERIOD]
Rules:
troubled [IMPLY] homely [PERIOD]
fine [AND] frightened [IMPLY] sensible [PERIOD]
modern [AND] strange [AND] selfish [IMPLY] careless [PERIOD... | Proof chain:
scared ⇒ modern
modern ∧ troubled ∧ plain ⇒ fine
scared ⇒ modern
modern ⇒ helpless
average ∧ fine ∧ helpless ⇒ talkative
| 1 | 5 |
Facts:
Rules:
combative [IMPLY] mean [PERIOD]
lucky [IMPLY] combative [PERIOD]
lucky [AND] combative [AND] lonely [IMPLY] helpless [PERIOD]
helpless [AND] lucky [IMPLY] tidy [PERIOD]
selfish [AND] intellectual [AND] combative [IMPLY] lucky [PERIOD]
tidy [IMPLY] intellectual [PERIOD]
tidy [IMPLY] lonely [PERIOD]
combat... | Proof chain:
Cannot apply rule “lucky ∧ combative ∧ lonely ⇒ helpless” because missing: lucky, combative, lonely.
Cannot apply rule “lucky ⇒ helpless” because missing: lucky.
Cannot apply rule “tidy ∧ sensible ∧ selfish ⇒ helpless” because missing: tidy, sensible, selfish.
Cannot apply rule “combative ∧ sel... | 0 | 5 |
Facts: Batman is loving [PERIOD]
Rules:
unpleasant [AND] straightforward [IMPLY] long [PERIOD]
tame [AND] zealous [AND] long [IMPLY] combative [PERIOD]
tame [AND] zealous [AND] straightforward [IMPLY] courageous [PERIOD]
gifted [AND] unpleasant [AND] courageous [IMPLY] combative [PERIOD]
tame [AND] long [IMPLY] zealou... | Proof chain:
Cannot apply rule “tame ∧ zealous ∧ long ⇒ combative” because missing: tame, zealous, long.
Cannot apply rule “gifted ∧ unpleasant ∧ courageous ⇒ combative” because missing: gifted, unpleasant, courageous.
Cannot apply rule “courageous ∧ tame ∧ long ⇒ combative” because missing: courageous, tame, ... | 0 | 5 |
Facts: Batman is cruel [PERIOD]
Rules:
powerful [AND] confident [IMPLY] old-fashioned [PERIOD]
cruel [IMPLY] old-fashioned [PERIOD]
confident [AND] old-fashioned [IMPLY] polite [PERIOD]
smart [AND] bad-tempered [IMPLY] old-fashioned [PERIOD]
polite [AND] cruel [IMPLY] confused [PERIOD]
bad-tempered [IMPLY] confident [... | Proof chain:
cruel ⇒ polite
polite ∧ cruel ⇒ confused
cruel ⇒ old-fashioned
cruel ⇒ polite
confused ∧ old-fashioned ∧ polite ⇒ bad-tempered
| 1 | 5 |
Facts: Batman is sincere [PERIOD] Batman is busy [PERIOD] Batman is difficult [PERIOD] Batman is modern [PERIOD]
Rules:
sleepy [IMPLY] crowded [PERIOD]
modern [IMPLY] vivacious [PERIOD]
homely [AND] supportive [IMPLY] rational [PERIOD]
sleepy [IMPLY] tidy [PERIOD]
beautiful [IMPLY] crowded [PERIOD]
lonely [AND] beauti... | Proof chain:
modern ⇒ vivacious
modern ∧ vivacious ∧ busy ⇒ sensible
difficult ⇒ supportive
supportive ⇒ witty
sensible ∧ witty ⇒ homely
| 1 | 5 |
Facts: Batman is inexpensive [PERIOD] Batman is diplomatic [PERIOD] Batman is confused [PERIOD]
Rules:
confused [AND] nervous [IMPLY] proud [PERIOD]
outrageous [AND] gifted [AND] proud [IMPLY] nervous [PERIOD]
fine [IMPLY] proud [PERIOD]
bright [IMPLY] fine [PERIOD]
bright [IMPLY] charming [PERIOD]
charming [AND] outr... | Proof chain:
confused ⇒ helpless
diplomatic ∧ helpless ⇒ fine
diplomatic ⇒ proud
proud ⇒ outrageous
fine ∧ outrageous ∧ diplomatic ⇒ rational
| 1 | 5 |
Facts: Batman is witty [PERIOD] Batman is broad-minded [PERIOD]
Rules:
broad-minded [IMPLY] mean [PERIOD]
wide-eyed [AND] witty [IMPLY] aggressive [PERIOD]
naughty [IMPLY] aggressive [PERIOD]
rational [AND] worried [AND] wide-eyed [IMPLY] aggressive [PERIOD]
worried [AND] naughty [AND] broad-minded [IMPLY] rational [P... | Proof chain:
broad-minded ⇒ hilarious
broad-minded ⇒ hilarious
broad-minded ⇒ mean
witty ∧ hilarious ∧ mean ⇒ aggressive
hilarious ∧ aggressive ⇒ rational
| 1 | 5 |
Facts:
Rules:
comfortable [IMPLY] calm [PERIOD]
attractive [AND] agreeable [AND] calm [IMPLY] elegant [PERIOD]
wide-eyed [AND] calm [AND] elegant [IMPLY] mysterious [PERIOD]
comfortable [IMPLY] talented [PERIOD]
mysterious [AND] agreeable [IMPLY] calm [PERIOD]
elegant [AND] agreeable [AND] attractive [IMPLY] calm [PER... | Proof chain:
Cannot apply rule “attractive ∧ agreeable ∧ calm ⇒ elegant” because missing: attractive, agreeable, calm.
Cannot apply rule “mysterious ∧ attractive ⇒ elegant” because missing: mysterious, attractive.
Cannot apply rule “attractive ⇒ elegant” because missing: attractive.
Cannot apply rule “comfo... | 0 | 5 |
Facts: Batman is thoughtful [PERIOD] Batman is long [PERIOD] Batman is attractive [PERIOD] Batman is diplomatic [PERIOD] Batman is lonely [PERIOD] Batman is rational [PERIOD] Batman is fearless [PERIOD] Batman is innocent [PERIOD] Batman is muddy [PERIOD] Batman is dishonest [PERIOD] Batman is rude [PERIOD]
Rules:
clu... | Proof chain:
rude ⇒ versatile
dishonest ⇒ tender
fearless ⇒ disgusted
versatile ∧ tender ∧ disgusted ⇒ straightforward
straightforward ⇒ charming
| 1 | 5 |
Facts:
Rules:
fancy [AND] rude [IMPLY] dishonest [PERIOD]
dishonest [AND] helpful [IMPLY] perfect [PERIOD]
tidy [IMPLY] disgusted [PERIOD]
perfect [AND] busy [AND] bright [IMPLY] dishonest [PERIOD]
embarrassed [AND] fancy [AND] light [IMPLY] disgusted [PERIOD]
dishonest [AND] popular [AND] aggressive [IMPLY] mysteriou... | Proof chain:
Cannot apply rule “disgusted ∧ popular ∧ light ⇒ ambitious” because missing: disgusted, popular, light.
Cannot apply rule “aggressive ⇒ ambitious” because missing: aggressive.
Cannot apply rule “innocent ∧ mysterious ∧ dishonest ⇒ ambitious” because missing: innocent, mysterious, dishonest.
Can... | 0 | 5 |
Facts: Batman is wandering [PERIOD] Batman is courageous [PERIOD] Batman is dull [PERIOD] Batman is ugliest [PERIOD]
Rules:
troubled [IMPLY] frightened [PERIOD]
tame [IMPLY] wandering [PERIOD]
excited [IMPLY] courageous [PERIOD]
gifted [AND] shy [AND] inexpensive [IMPLY] courageous [PERIOD]
dull [IMPLY] tame [PERIOD]
... | Proof chain:
dull ⇒ tame
Cannot apply rule “tame ∧ inquisitive ∧ shy ⇒ gifted” because missing: inquisitive, shy.
Cannot apply rule “excited ∧ modern ⇒ gifted” because missing: excited, modern.
Cannot apply rule “ugly ∧ inquisitive ⇒ gifted” because missing: ugly, inquisitive.
Cannot apply rule “enchanti... | 0 | 5 |
Facts: Batman is foolish [PERIOD] Batman is helpless [PERIOD]
Rules:
confused [AND] rude [AND] modern [IMPLY] gifted [PERIOD]
gifted [AND] troubled [IMPLY] muddy [PERIOD]
rude [AND] careless [AND] mysterious [IMPLY] outrageous [PERIOD]
thoughtful [AND] silly [IMPLY] rude [PERIOD]
plain [IMPLY] naughty [PERIOD]
confuse... | Proof chain:
Cannot apply rule “excited ∧ muddy ⇒ sincere” because missing: excited, muddy.
Cannot apply rule “loving ⇒ sincere” because missing: loving.
Cannot apply rule “blushing ∧ thoughtful ⇒ sincere” because missing: blushing, thoughtful.
Cannot apply rule “plain ∧ perfect ∧ jittery ⇒ sincere” because... | 0 | 5 |
Facts:
Rules:
enchanting [AND] loving [AND] broad-minded [IMPLY] shy [PERIOD]
loving [AND] shy [IMPLY] broad-minded [PERIOD]
frightened [IMPLY] light [PERIOD]
broad-minded [IMPLY] loving [PERIOD]
light [AND] frightened [IMPLY] condemned [PERIOD]
frightened [AND] condemned [AND] shy [IMPLY] enchanting [PERIOD]
shy [AND... | Proof chain:
Cannot apply rule “loving ∧ shy ⇒ broad-minded” because missing: loving, shy.
Cannot apply rule “enchanting ⇒ broad-minded” because missing: enchanting.
Cannot apply rule “light ∧ shy ∧ loving ⇒ broad-minded” because missing: light, shy, loving.
Cannot apply rule “frightened ∧ light ∧ shy ⇒ bro... | 0 | 5 |
Facts:
Rules:
victorious [IMPLY] gorgeous [PERIOD]
wrong [AND] fragile [IMPLY] gorgeous [PERIOD]
victorious [IMPLY] fragile [PERIOD]
fragile [IMPLY] anxious [PERIOD]
gorgeous [AND] shiny [AND] fragile [IMPLY] victorious [PERIOD]
anxious [IMPLY] shiny [PERIOD]
victorious [AND] anxious [AND] shiny [IMPLY] serious [PERIO... | Proof chain:
Cannot apply rule “victorious ⇒ gorgeous” because missing: victorious.
Cannot apply rule “wrong ∧ fragile ⇒ gorgeous” because missing: wrong, fragile.
Cannot apply rule “fragile ∧ victorious ⇒ gorgeous” because missing: fragile, victorious.
Cannot apply rule “wrong ⇒ gorgeous” because missing: ... | 0 | 5 |
Facts: Batman is powerful [PERIOD] Batman is messy [PERIOD] Batman is supportive [PERIOD] Batman is amused [PERIOD] Batman is calm [PERIOD] Batman is gleaming [PERIOD] Batman is smart [PERIOD]
Rules:
smart [IMPLY] courageous [PERIOD]
calm [AND] disobedient [AND] messy [IMPLY] average [PERIOD]
spotless [IMPLY] supporti... | Proof chain:
smart ⇒ average
powerful ⇒ courageous
powerful ⇒ courageous
messy ∧ courageous ⇒ intellectual
average ∧ courageous ∧ intellectual ⇒ perfect
| 1 | 5 |
Facts:
Rules:
rational [IMPLY] fearless [PERIOD]
fearless [IMPLY] cruel [PERIOD]
frightened [AND] rational [IMPLY] cute [PERIOD]
frightened [AND] scared [IMPLY] cruel [PERIOD]
fearless [AND] cruel [IMPLY] frightened [PERIOD]
scared [AND] frightened [AND] cute [IMPLY] cruel [PERIOD]
rational [IMPLY] cute [PERIOD]
frigh... | Proof chain:
Cannot apply rule “frightened ∧ rational ⇒ cute” because missing: frightened, rational.
Cannot apply rule “rational ⇒ cute” because missing: rational.
Cannot apply rule “frightened ∧ rational ∧ scared ⇒ cute” because missing: frightened, rational, scared.
Cannot apply rule “rational ∧ scared ⇒ ... | 0 | 5 |
Facts: Batman is lonely [PERIOD] Batman is beautiful [PERIOD] Batman is average [PERIOD] Batman is bad-tempered [PERIOD] Batman is diplomatic [PERIOD] Batman is victorious [PERIOD] Batman is clumsy [PERIOD] Batman is homely [PERIOD]
Rules:
nervous [AND] jittery [AND] horrible [IMPLY] distinct [PERIOD]
versatile [AND] ... | Proof chain:
bad-tempered ⇒ versatile
versatile ⇒ witty
victorious ⇒ horrible
witty ∧ horrible ⇒ fearless
fearless ⇒ joyous
| 1 | 5 |
Facts:
Rules:
exuberant [IMPLY] bossy [PERIOD]
weary [IMPLY] pessimistic [PERIOD]
weary [IMPLY] beautiful [PERIOD]
sensible [AND] exuberant [IMPLY] weary [PERIOD]
bossy [IMPLY] innocent [PERIOD]
bossy [IMPLY] serious [PERIOD]
shiny [AND] innocent [AND] exuberant [IMPLY] stormy [PERIOD]
straightforward [IMPLY] innocent... | Proof chain:
Cannot apply rule “exuberant ⇒ bossy” because missing: exuberant.
Cannot apply rule “weary ∧ serious ⇒ bossy” because missing: weary, serious.
Cannot apply rule “serious ∧ difficult ⇒ bossy” because missing: serious, difficult.
Cannot apply rule “sensible ⇒ bossy” because missing: sensible.
... | 0 | 5 |
Facts: Batman is anxious [PERIOD] Batman is perfect [PERIOD]
Rules:
impartial [AND] blushing [IMPLY] perfect [PERIOD]
shiny [AND] famous [AND] inexpensive [IMPLY] foolish [PERIOD]
foolish [AND] impartial [AND] combative [IMPLY] anxious [PERIOD]
perfect [AND] worried [AND] impartial [IMPLY] foolish [PERIOD]
beautiful [... | Proof chain:
anxious ⇒ ugliest
perfect ⇒ shiny
anxious ⇒ beautiful
beautiful ⇒ weary
ugliest ∧ shiny ∧ weary ⇒ famous
| 1 | 5 |
Facts: Batman is serious [PERIOD] Batman is helpless [PERIOD] Batman is fearless [PERIOD] Batman is victorious [PERIOD] Batman is thoughtful [PERIOD] Batman is proud [PERIOD] Batman is outstanding [PERIOD] Batman is lonely [PERIOD] Batman is frail [PERIOD] Batman is outrageous [PERIOD]
Rules:
troubled [AND] clean [AND... | Proof chain:
proud ∧ lonely ⇒ troubled
helpless ∧ fearless ⇒ impartial
troubled ∧ outstanding ∧ impartial ⇒ blushing
helpless ⇒ polite
blushing ∧ polite ∧ thoughtful ⇒ clean
| 1 | 5 |
Facts: Batman is cooperative [PERIOD] Batman is outstanding [PERIOD] Batman is naughty [PERIOD] Batman is jittery [PERIOD]
Rules:
tender [AND] old-fashioned [AND] thoughtless [IMPLY] smart [PERIOD]
lonely [IMPLY] wandering [PERIOD]
scared [IMPLY] wandering [PERIOD]
unpleasant [AND] naughty [AND] smart [IMPLY] jittery ... | Proof chain:
cooperative ∧ outstanding ⇒ unpleasant
naughty ⇒ scared
unpleasant ∧ scared ⇒ frail
frail ⇒ elated
elated ⇒ hilarious
| 1 | 5 |
Facts:
Rules:
intellectual [AND] cruel [AND] serious [IMPLY] thoughtful [PERIOD]
serious [IMPLY] intellectual [PERIOD]
serious [IMPLY] innocent [PERIOD]
cruel [AND] polite [AND] frail [IMPLY] messy [PERIOD]
messy [AND] frail [IMPLY] intellectual [PERIOD]
tense [IMPLY] silly [PERIOD]
fancy [IMPLY] innocent [PERIOD]
tho... | Proof chain:
Cannot apply rule “tense ∧ frail ∧ polite ⇒ fancy” because missing: tense, frail, polite.
Cannot apply rule “frail ⇒ fancy” because missing: frail.
Cannot apply rule “intellectual ⇒ fancy” because missing: intellectual.
Cannot apply rule “serious ⇒ fancy” because missing: serious.
Cannot app... | 0 | 5 |
Facts: Batman is innocent [PERIOD]
Rules:
helpless [AND] aggressive [AND] modern [IMPLY] courageous [PERIOD]
innocent [AND] attractive [AND] modern [IMPLY] tidy [PERIOD]
tidy [IMPLY] aggressive [PERIOD]
aggressive [AND] innocent [IMPLY] selfish [PERIOD]
courageous [AND] busy [IMPLY] cute [PERIOD]
supportive [IMPLY] co... | Proof chain:
innocent ⇒ helpless
innocent ⇒ aggressive
innocent ⇒ aggressive
aggressive ⇒ modern
helpless ∧ aggressive ∧ modern ⇒ courageous
| 1 | 5 |
Facts: Batman is quaint [PERIOD] Batman is bored [PERIOD] Batman is ugly [PERIOD] Batman is lucky [PERIOD]
Rules:
hilarious [AND] dishonest [IMPLY] sensible [PERIOD]
frantic [AND] ugly [AND] dishonest [IMPLY] hilarious [PERIOD]
dishonest [AND] zealous [IMPLY] scared [PERIOD]
sensible [AND] bored [AND] diplomatic [IMPL... | Proof chain:
quaint ⇒ frantic
bored ⇒ dishonest
frantic ∧ ugly ∧ dishonest ⇒ hilarious
bored ⇒ dishonest
hilarious ∧ dishonest ⇒ sensible
| 1 | 5 |
Facts:
Rules:
distinct [IMPLY] cute [PERIOD]
fancy [AND] distinct [AND] talented [IMPLY] joyous [PERIOD]
courageous [AND] distinct [IMPLY] fancy [PERIOD]
shy [AND] talented [AND] fearless [IMPLY] fancy [PERIOD]
fancy [AND] shy [IMPLY] easy [PERIOD]
fancy [AND] joyous [AND] talented [IMPLY] easy [PERIOD]
cute [AND] dis... | Proof chain:
Cannot apply rule “fancy ∧ distinct ∧ talented ⇒ joyous” because missing: fancy, distinct, talented.
Cannot apply rule “cute ∧ distinct ⇒ joyous” because missing: cute, distinct.
Cannot apply rule “distinct ∧ easy ∧ shy ⇒ joyous” because missing: distinct, easy, shy.
Cannot apply rule “fancy ⇒ ... | 0 | 5 |
Facts: Batman is strange [PERIOD] Batman is polite [PERIOD] Batman is cooperative [PERIOD] Batman is anxious [PERIOD] Batman is thoughtful [PERIOD]
Rules:
cute [AND] hilarious [AND] confused [IMPLY] thoughtless [PERIOD]
rational [IMPLY] thoughtless [PERIOD]
alert [AND] helpful [AND] anxious [IMPLY] bossy [PERIOD]
jitt... | Proof chain:
cooperative ⇒ spotless
cooperative ⇒ spotless
spotless ∧ anxious ⇒ rational
spotless ∧ rational ⇒ wrong
wrong ∧ strange ⇒ loving
| 1 | 5 |
Facts: Batman is tired [PERIOD] Batman is amused [PERIOD] Batman is alert [PERIOD]
Rules:
tired [AND] careless [AND] helpful [IMPLY] spotless [PERIOD]
tidy [IMPLY] alert [PERIOD]
clean [AND] helpful [IMPLY] powerful [PERIOD]
careless [IMPLY] spotless [PERIOD]
amused [AND] nervous [IMPLY] helpful [PERIOD]
old-fashioned... | Proof chain:
amused ⇒ worrisome
tired ⇒ lonely
alert ⇒ frightened
lonely ∧ frightened ∧ tired ⇒ unpleasant
worrisome ∧ unpleasant ⇒ cruel
| 1 | 5 |
Facts: Batman is good [PERIOD] Batman is spotless [PERIOD]
Rules:
spotless [AND] vivacious [IMPLY] good [PERIOD]
charming [AND] sincere [AND] plain [IMPLY] gleaming [PERIOD]
grumpy [AND] frantic [IMPLY] spotless [PERIOD]
grumpy [AND] gleaming [AND] vivacious [IMPLY] charming [PERIOD]
careless [AND] helpful [AND] vivac... | Proof chain:
spotless ⇒ charming
charming ⇒ grumpy
spotless ⇒ charming
grumpy ∧ charming ⇒ gleaming
gleaming ⇒ careless
| 1 | 5 |
Facts: Batman is frightened [PERIOD] Batman is ugly [PERIOD] Batman is thoughtless [PERIOD] Batman is sensible [PERIOD] Batman is ugliest [PERIOD] Batman is combative [PERIOD] Batman is embarrassed [PERIOD] Batman is frail [PERIOD]
Rules:
embarrassed [AND] elated [IMPLY] straightforward [PERIOD]
busy [IMPLY] combative... | Proof chain:
ugly ∧ combative ⇒ long
long ⇒ loving
thoughtless ∧ frail ⇒ bored
frightened ⇒ elated
loving ∧ bored ∧ elated ⇒ curious
| 1 | 5 |
Facts: Batman is confident [PERIOD] Batman is outstanding [PERIOD] Batman is worrisome [PERIOD]
Rules:
foolish [AND] friendly [IMPLY] embarrassed [PERIOD]
worrisome [IMPLY] zealous [PERIOD]
courageous [AND] agreeable [IMPLY] frantic [PERIOD]
sincere [AND] confident [AND] worrisome [IMPLY] spotless [PERIOD]
hurt [AND] ... | Proof chain:
Cannot apply rule “sincere ∧ confident ∧ worrisome ⇒ spotless” because missing: sincere.
Cannot apply rule “frantic ⇒ spotless” because missing: frantic.
worrisome ⇒ zealous
zealous ⇒ average
Cannot apply rule “agreeable ∧ embarrassed ∧ average ⇒ spotless” because missing: agreeable, embarra... | 0 | 5 |
Facts: Batman is fine [PERIOD] Batman is elated [PERIOD] Batman is distinct [PERIOD] Batman is unpleasant [PERIOD] Batman is shiny [PERIOD] Batman is tame [PERIOD] Batman is embarrassed [PERIOD]
Rules:
worried [AND] shiny [IMPLY] elated [PERIOD]
inexpensive [AND] sensible [AND] embarrassed [IMPLY] worried [PERIOD]
vic... | Proof chain:
distinct ∧ elated ⇒ talented
distinct ∧ elated ⇒ talented
talented ⇒ dishonest
unpleasant ∧ talented ∧ dishonest ⇒ adorable
unpleasant ∧ adorable ⇒ hypocritical
| 1 | 5 |
Facts: Batman is messy [PERIOD] Batman is elegant [PERIOD] Batman is charming [PERIOD]
Rules:
gleaming [AND] broad-minded [IMPLY] impatient [PERIOD]
glamorous [AND] polite [IMPLY] messy [PERIOD]
silly [AND] elegant [IMPLY] talented [PERIOD]
gleaming [IMPLY] frantic [PERIOD]
amused [AND] clean [IMPLY] frantic [PERIOD]
... | Proof chain:
elegant ⇒ amused
elegant ⇒ clean
amused ∧ clean ⇒ frantic
frantic ⇒ broad-minded
broad-minded ∧ charming ⇒ inquisitive
| 1 | 5 |
Facts: Batman is tender [PERIOD] Batman is smart [PERIOD] Batman is pessimistic [PERIOD] Batman is messy [PERIOD]
Rules:
bored [AND] calm [IMPLY] troubled [PERIOD]
troubled [AND] precious [IMPLY] ambitious [PERIOD]
strange [IMPLY] calm [PERIOD]
thoughtless [AND] stubborn [IMPLY] troubled [PERIOD]
messy [AND] zealous [... | Proof chain:
pessimistic ∧ smart ⇒ worrisome
pessimistic ⇒ zealous
zealous ⇒ shiny
worrisome ∧ shiny ⇒ calm
calm ⇒ blushing
| 1 | 5 |
Facts: Batman is shiny [PERIOD] Batman is bright [PERIOD] Batman is dishonest [PERIOD] Batman is silly [PERIOD] Batman is stubborn [PERIOD] Batman is pleasant [PERIOD] Batman is smart [PERIOD] Batman is quaint [PERIOD] Batman is joyous [PERIOD] Batman is bored [PERIOD]
Rules:
perfect [AND] thoughtful [AND] bored [IMPL... | Proof chain:
quaint ⇒ thoughtful
smart ⇒ distinct
thoughtful ∧ distinct ⇒ enchanting
enchanting ⇒ easy
Cannot apply rule “polite ∧ easy ⇒ troubled” because missing: polite.
| 0 | 5 |
Facts: Batman is polite [PERIOD] Batman is wandering [PERIOD] Batman is talented [PERIOD] Batman is pleasant [PERIOD] Batman is jittery [PERIOD] Batman is selfish [PERIOD] Batman is confused [PERIOD]
Rules:
jittery [AND] selfish [AND] alert [IMPLY] tense [PERIOD]
serious [AND] curious [IMPLY] tense [PERIOD]
alert [AND... | Proof chain:
jittery ⇒ bored
selfish ∧ bored ⇒ impatient
jittery ∧ impatient ⇒ thoughtful
thoughtful ∧ selfish ⇒ dishonest
selfish ∧ dishonest ∧ wandering ⇒ serious
| 1 | 5 |
Facts: Batman is inquisitive [PERIOD]
Rules:
sleepy [IMPLY] distinct [PERIOD]
sleepy [AND] sensible [IMPLY] wrong [PERIOD]
elegant [IMPLY] zealous [PERIOD]
impartial [AND] diplomatic [IMPLY] inquisitive [PERIOD]
zealous [AND] impartial [AND] inquisitive [IMPLY] distinct [PERIOD]
diplomatic [AND] distinct [IMPLY] sleep... | Proof chain:
Cannot apply rule “polite ∧ inquisitive ∧ impartial ⇒ serious” because missing: polite, impartial.
inquisitive ⇒ diplomatic
Cannot apply rule “diplomatic ∧ enchanting ∧ horrible ⇒ serious” because missing: enchanting, horrible.
Cannot apply rule “wrong ∧ impartial ∧ enchanting ⇒ serious” becaus... | 0 | 5 |
Facts: Batman is muddy [PERIOD] Batman is amused [PERIOD] Batman is uptight [PERIOD] Batman is excited [PERIOD] Batman is homely [PERIOD]
Rules:
helpful [IMPLY] modern [PERIOD]
amused [IMPLY] vivacious [PERIOD]
excited [AND] confident [AND] bossy [IMPLY] inquisitive [PERIOD]
excited [IMPLY] inquisitive [PERIOD]
wide-e... | Proof chain:
amused ⇒ vivacious
excited ⇒ inquisitive
vivacious ∧ amused ∧ inquisitive ⇒ witty
excited ⇒ inquisitive
witty ∧ inquisitive ∧ excited ⇒ wide-eyed
| 1 | 5 |
Facts: Batman is ugliest [PERIOD]
Rules:
elegant [IMPLY] worried [PERIOD]
ugly [AND] fine [IMPLY] long [PERIOD]
dishonest [AND] distinct [AND] weary [IMPLY] exuberant [PERIOD]
ugliest [AND] difficult [AND] comfortable [IMPLY] long [PERIOD]
witty [AND] exuberant [IMPLY] ugly [PERIOD]
witty [AND] worried [IMPLY] exubera... | Proof chain:
Cannot apply rule “dishonest ∧ polite ⇒ fine” because missing: dishonest, polite.
Cannot apply rule “polite ⇒ fine” because missing: polite.
Cannot apply rule “comfortable ∧ thoughtful ⇒ fine” because missing: comfortable, thoughtful.
Cannot apply rule “distinct ∧ ugly ⇒ fine” because missing: ... | 0 | 5 |
Facts:
Rules:
lucky [AND] famous [AND] fine [IMPLY] stormy [PERIOD]
famous [AND] rational [IMPLY] tidy [PERIOD]
fine [IMPLY] lucky [PERIOD]
rational [AND] famous [AND] fine [IMPLY] lucky [PERIOD]
innocent [IMPLY] tidy [PERIOD]
rational [AND] worried [IMPLY] tender [PERIOD]
tender [IMPLY] lucky [PERIOD]
intellectual [I... | Proof chain:
Cannot apply rule “fine ⇒ lucky” because missing: fine.
Cannot apply rule “rational ∧ famous ∧ fine ⇒ lucky” because missing: rational, famous, fine.
Cannot apply rule “tender ⇒ lucky” because missing: tender.
Cannot apply rule “worried ∧ stormy ∧ rational ⇒ lucky” because missing: worried, sto... | 0 | 5 |
Facts: Batman is inexpensive [PERIOD] Batman is outrageous [PERIOD] Batman is agreeable [PERIOD] Batman is rude [PERIOD] Batman is helpful [PERIOD]
Rules:
charming [IMPLY] easy [PERIOD]
agreeable [IMPLY] busy [PERIOD]
busy [IMPLY] agreeable [PERIOD]
rude [AND] strange [AND] outrageous [IMPLY] vivacious [PERIOD]
attrac... | Proof chain:
outrageous ∧ rude ⇒ uptight
inexpensive ∧ agreeable ∧ uptight ⇒ long
outrageous ∧ rude ⇒ easy
easy ⇒ weary
inexpensive ∧ long ∧ weary ⇒ attractive
| 1 | 5 |
Facts: Batman is sincere [PERIOD] Batman is shy [PERIOD]
Rules:
helpful [AND] sincere [IMPLY] curious [PERIOD]
sincere [AND] jittery [IMPLY] good [PERIOD]
sincere [IMPLY] helpful [PERIOD]
sincere [IMPLY] jittery [PERIOD]
foolish [AND] disgusted [IMPLY] helpful [PERIOD]
sincere [AND] famous [AND] disgusted [IMPLY] dipl... | Proof chain:
sincere ⇒ helpful
helpful ⇒ famous
sincere ⇒ jittery
jittery ⇒ disgusted
sincere ∧ famous ∧ disgusted ⇒ diplomatic
| 1 | 5 |
Facts: Batman is cooperative [PERIOD] Batman is jittery [PERIOD] Batman is outrageous [PERIOD] Batman is quaint [PERIOD]
Rules:
aggressive [IMPLY] strange [PERIOD]
disgusted [AND] charming [IMPLY] gorgeous [PERIOD]
strange [AND] disgusted [AND] jittery [IMPLY] difficult [PERIOD]
supportive [AND] stormy [AND] disgusted... | Proof chain:
outrageous ⇒ aggressive
aggressive ⇒ rude
outrageous ⇒ aggressive
aggressive ⇒ strange
rude ∧ strange ∧ outrageous ⇒ difficult
| 1 | 5 |
Facts: Batman is elegant [PERIOD] Batman is worrisome [PERIOD] Batman is amused [PERIOD] Batman is intellectual [PERIOD] Batman is combative [PERIOD]
Rules:
quaint [IMPLY] scared [PERIOD]
loving [IMPLY] amused [PERIOD]
ugly [AND] cute [AND] scared [IMPLY] amused [PERIOD]
adorable [IMPLY] disgusted [PERIOD]
pleasant [I... | Proof chain:
worrisome ⇒ pleasant
pleasant ⇒ bad-tempered
bad-tempered ⇒ cute
Cannot apply rule “cute ∧ ugly ⇒ popular” because missing: ugly.
Cannot apply rule “proud ∧ disgusted ⇒ popular” because missing: proud, disgusted.
| 0 | 5 |
Facts: Batman is calm [PERIOD] Batman is frail [PERIOD] Batman is courageous [PERIOD] Batman is diplomatic [PERIOD] Batman is gifted [PERIOD] Batman is smart [PERIOD] Batman is unpleasant [PERIOD]
Rules:
smart [AND] scared [IMPLY] inquisitive [PERIOD]
condemned [IMPLY] fragile [PERIOD]
mysterious [AND] diplomatic [AND... | Proof chain:
diplomatic ⇒ exuberant
smart ⇒ messy
exuberant ∧ messy ⇒ clean
diplomatic ⇒ exuberant
unpleasant ∧ clean ∧ exuberant ⇒ ugly
| 1 | 5 |
Facts: Batman is talkative [PERIOD]
Rules:
uptight [AND] beautiful [IMPLY] intellectual [PERIOD]
tender [AND] tame [IMPLY] powerful [PERIOD]
tame [AND] sleepy [AND] adorable [IMPLY] impartial [PERIOD]
calm [AND] fine [AND] beautiful [IMPLY] tender [PERIOD]
fine [AND] pessimistic [IMPLY] elegant [PERIOD]
strange [AND] ... | Proof chain:
Cannot apply rule “impartial ∧ wandering ⇒ sleepy” because missing: impartial, wandering.
Cannot apply rule “impartial ∧ helpless ⇒ sleepy” because missing: impartial, helpless.
Cannot apply rule “disgusted ⇒ sleepy” because missing: disgusted.
Cannot apply rule “adorable ⇒ sleepy” because miss... | 0 | 5 |
Facts: Batman is popular [PERIOD] Batman is clumsy [PERIOD]
Rules:
supportive [AND] clumsy [IMPLY] unpleasant [PERIOD]
muddy [IMPLY] exuberant [PERIOD]
exuberant [IMPLY] clumsy [PERIOD]
supportive [AND] clumsy [AND] unpleasant [IMPLY] exuberant [PERIOD]
popular [IMPLY] unpleasant [PERIOD]
supportive [AND] unpleasant [... | Proof chain:
popular ⇒ unpleasant
unpleasant ⇒ muddy
muddy ⇒ exuberant
popular ⇒ unpleasant
exuberant ∧ unpleasant ⇒ supportive
| 1 | 5 |
Facts: Batman is aggressive [PERIOD] Batman is modern [PERIOD] Batman is tidy [PERIOD] Batman is sensible [PERIOD] Batman is busy [PERIOD] Batman is good [PERIOD] Batman is pessimistic [PERIOD] Batman is talented [PERIOD]
Rules:
blushing [IMPLY] talented [PERIOD]
outrageous [AND] aggressive [AND] blushing [IMPLY] diff... | Proof chain:
busy ∧ aggressive ⇒ difficult
good ∧ aggressive ∧ difficult ⇒ confident
tidy ∧ good ⇒ bored
confident ∧ bored ∧ good ⇒ polite
good ∧ pessimistic ∧ polite ⇒ confused
| 1 | 5 |
Facts: Batman is attentive [PERIOD] Batman is spotless [PERIOD] Batman is selfish [PERIOD] Batman is tense [PERIOD] Batman is alert [PERIOD]
Rules:
fragile [IMPLY] attentive [PERIOD]
condemned [AND] helpful [IMPLY] horrible [PERIOD]
tidy [AND] inquisitive [AND] alert [IMPLY] tame [PERIOD]
tidy [AND] fragile [AND] myst... | Proof chain:
spotless ⇒ mysterious
selfish ⇒ cute
tense ∧ cute ⇒ fancy
fancy ⇒ condemned
mysterious ∧ tense ∧ condemned ⇒ tame
| 1 | 5 |
Facts: Batman is mysterious [PERIOD]
Rules:
ugliest [AND] mysterious [IMPLY] glamorous [PERIOD]
ugly [AND] mysterious [AND] glamorous [IMPLY] ugliest [PERIOD]
homely [AND] ugliest [IMPLY] ugly [PERIOD]
mean [AND] ugly [AND] ugliest [IMPLY] homely [PERIOD]
homely [AND] ugly [IMPLY] mysterious [PERIOD]
glamorous [AND] u... | Proof chain:
mysterious ⇒ ugliest
ugliest ∧ mysterious ⇒ glamorous
mysterious ⇒ ugliest
ugliest ⇒ ugly
glamorous ∧ ugly ⇒ homely
| 1 | 5 |
Facts: Batman is foolish [PERIOD] Batman is zealous [PERIOD]
Rules:
frail [IMPLY] beautiful [PERIOD]
silly [AND] joyous [IMPLY] agreeable [PERIOD]
frail [IMPLY] agreeable [PERIOD]
beautiful [AND] silly [IMPLY] broad-minded [PERIOD]
silly [IMPLY] zealous [PERIOD]
agreeable [AND] silly [IMPLY] joyous [PERIOD]
naughty [A... | Proof chain:
Cannot apply rule “silly ∧ joyous ⇒ agreeable” because missing: silly, joyous.
Cannot apply rule “frail ⇒ agreeable” because missing: frail.
Cannot apply rule “beautiful ∧ foolish ⇒ agreeable” because missing: beautiful.
Cannot apply rule “silly ∧ naughty ⇒ agreeable” because missing: silly, na... | 0 | 5 |
Facts: Batman is dull [PERIOD] Batman is easy [PERIOD] Batman is clumsy [PERIOD] Batman is dishonest [PERIOD] Batman is ugly [PERIOD] Batman is frantic [PERIOD] Batman is precious [PERIOD] Batman is fearless [PERIOD] Batman is wide-eyed [PERIOD] Batman is famous [PERIOD] Batman is attractive [PERIOD]
Rules:
clumsy [AN... | Proof chain:
dishonest ∧ dull ∧ famous ⇒ reserved
precious ⇒ straightforward
dull ∧ reserved ∧ straightforward ⇒ strange
easy ∧ strange ⇒ bright
bright ∧ dishonest ⇒ fine
| 1 | 5 |
Facts: Batman is jittery [PERIOD] Batman is glamorous [PERIOD]
Rules:
attentive [AND] glamorous [AND] comfortable [IMPLY] uptight [PERIOD]
strange [IMPLY] attentive [PERIOD]
famous [IMPLY] hilarious [PERIOD]
beautiful [IMPLY] precious [PERIOD]
attentive [AND] uptight [IMPLY] embarrassed [PERIOD]
crowded [IMPLY] glamor... | Proof chain:
jittery ∧ glamorous ⇒ precious
jittery ∧ glamorous ⇒ precious
precious ⇒ comfortable
glamorous ∧ comfortable ⇒ crowded
precious ∧ crowded ⇒ attentive
| 1 | 5 |
Facts:
Rules:
enchanting [AND] straightforward [AND] attentive [IMPLY] cruel [PERIOD]
lonely [AND] mysterious [IMPLY] embarrassed [PERIOD]
attentive [AND] dull [IMPLY] embarrassed [PERIOD]
attractive [IMPLY] mysterious [PERIOD]
attentive [AND] precious [AND] vivacious [IMPLY] shiny [PERIOD]
straightforward [AND] cruel... | Proof chain:
Cannot apply rule “attractive ⇒ mysterious” because missing: attractive.
Cannot apply rule “attractive ∧ embarrassed ∧ dull ⇒ mysterious” because missing: attractive, embarrassed, dull.
Cannot apply rule “attractive ∧ precious ∧ dull ⇒ mysterious” because missing: attractive, precious, dull.
Ca... | 0 | 5 |
Facts: Batman is stormy [PERIOD] Batman is quaint [PERIOD] Batman is worried [PERIOD] Batman is popular [PERIOD] Batman is powerful [PERIOD] Batman is zealous [PERIOD] Batman is tired [PERIOD] Batman is agreeable [PERIOD] Batman is bossy [PERIOD] Batman is troubled [PERIOD] Batman is precious [PERIOD]
Rules:
elated [A... | Proof chain:
powerful ∧ agreeable ⇒ cruel
agreeable ⇒ broad-minded
worried ∧ broad-minded ∧ bossy ⇒ cute
agreeable ⇒ broad-minded
cruel ∧ cute ∧ broad-minded ⇒ careless
| 1 | 5 |
Facts: Batman is broad-minded [PERIOD] Batman is quaint [PERIOD] Batman is thoughtful [PERIOD] Batman is horrible [PERIOD] Batman is sleepy [PERIOD]
Rules:
broad-minded [AND] horrible [IMPLY] elated [PERIOD]
elated [AND] scared [IMPLY] wide-eyed [PERIOD]
proud [AND] sleepy [IMPLY] tame [PERIOD]
light [AND] wide-eyed [... | Proof chain:
broad-minded ∧ horrible ⇒ elated
broad-minded ∧ horrible ⇒ elated
elated ⇒ dishonest
elated ∧ dishonest ⇒ wide-eyed
wide-eyed ⇒ scared
| 1 | 5 |
Facts: Batman is gorgeous [PERIOD]
Rules:
comfortable [AND] shy [IMPLY] polite [PERIOD]
quaint [AND] shy [IMPLY] comfortable [PERIOD]
plain [IMPLY] gorgeous [PERIOD]
polite [IMPLY] comfortable [PERIOD]
polite [AND] plain [IMPLY] quaint [PERIOD]
polite [IMPLY] gorgeous [PERIOD]
quaint [AND] comfortable [AND] polite [IM... | Proof chain:
Cannot apply rule “quaint ∧ comfortable ∧ polite ⇒ shy” because missing: quaint, comfortable, polite.
Cannot apply rule “quaint ∧ plain ⇒ shy” because missing: quaint, plain.
Cannot apply rule “plain ⇒ shy” because missing: plain.
Cannot apply rule “polite ∧ plain ⇒ shy” because missing: polite... | 0 | 5 |
Facts:
Rules:
ambitious [IMPLY] agreeable [PERIOD]
cute [IMPLY] calm [PERIOD]
polite [IMPLY] wandering [PERIOD]
polite [AND] bad-tempered [AND] curious [IMPLY] weary [PERIOD]
bored [AND] agreeable [AND] mysterious [IMPLY] horrible [PERIOD]
weary [AND] horrible [IMPLY] blushing [PERIOD]
gifted [AND] difficult [IMPLY] h... | Proof chain:
Cannot apply rule “crowded ∧ impartial ∧ cute ⇒ tense” because missing: crowded, impartial, cute.
Cannot apply rule “careless ⇒ tense” because missing: careless.
Cannot apply rule “horrible ∧ gifted ∧ troubled ⇒ tense” because missing: horrible, gifted, troubled.
Cannot apply rule “plain ∧ curi... | 0 | 5 |
Facts: Batman is mysterious [PERIOD]
Rules:
elegant [AND] busy [AND] tidy [IMPLY] famous [PERIOD]
elegant [AND] tidy [IMPLY] fancy [PERIOD]
different [AND] courageous [IMPLY] plain [PERIOD]
nervous [IMPLY] bored [PERIOD]
tidy [AND] cruel [IMPLY] bored [PERIOD]
fancy [AND] amused [IMPLY] busy [PERIOD]
cruel [AND] elega... | Proof chain:
Cannot apply rule “elegant ⇒ smart” because missing: elegant.
mysterious ⇒ distinct
mysterious ⇒ cruel
Cannot apply rule “distinct ∧ cruel ∧ tidy ⇒ smart” because missing: tidy.
Cannot apply rule “fancy ∧ adorable ⇒ smart” because missing: fancy, adorable.
| 0 | 5 |
Facts: Batman is wide-eyed [PERIOD] Batman is thoughtful [PERIOD] Batman is broad-minded [PERIOD] Batman is aggressive [PERIOD] Batman is gifted [PERIOD] Batman is fragile [PERIOD] Batman is silly [PERIOD] Batman is wrong [PERIOD] Batman is helpless [PERIOD] Batman is ambitious [PERIOD] Batman is good [PERIOD]
Rules:
... | Proof chain:
fragile ∧ gifted ∧ wide-eyed ⇒ innocent
aggressive ∧ innocent ⇒ stormy
silly ⇒ cooperative
cooperative ⇒ naughty
helpless ∧ stormy ∧ naughty ⇒ blushing
| 1 | 5 |
Facts: Batman is elated [PERIOD] Batman is cute [PERIOD] Batman is worried [PERIOD] Batman is charming [PERIOD] Batman is bad-tempered [PERIOD] Batman is anxious [PERIOD] Batman is strange [PERIOD]
Rules:
alert [IMPLY] cute [PERIOD]
hilarious [IMPLY] blushing [PERIOD]
bad-tempered [AND] naughty [AND] blushing [IMPLY] ... | Proof chain:
Cannot apply rule “anxious ∧ helpless ⇒ agreeable” because missing: helpless.
strange ⇒ calm
Cannot apply rule “calm ∧ inexpensive ⇒ agreeable” because missing: inexpensive.
Cannot apply rule “tidy ∧ homely ⇒ agreeable” because missing: tidy, homely.
Cannot apply rule “elated ∧ inexpensive ⇒... | 0 | 5 |
Facts: Batman is confident [PERIOD] Batman is thoughtless [PERIOD] Batman is bored [PERIOD] Batman is sincere [PERIOD]
Rules:
long [AND] weary [IMPLY] versatile [PERIOD]
bored [IMPLY] adorable [PERIOD]
adorable [AND] sincere [AND] thoughtless [IMPLY] talented [PERIOD]
weary [IMPLY] talented [PERIOD]
confident [IMPLY] ... | Proof chain:
confident ∧ sincere ∧ bored ⇒ long
Cannot apply rule “long ∧ weary ⇒ versatile” because missing: weary.
confident ⇒ talented
bored ⇒ adorable
Cannot apply rule “talented ∧ adorable ∧ weary ⇒ versatile” because missing: weary.
| 0 | 5 |
Facts:
Rules:
ugliest [AND] fancy [AND] comfortable [IMPLY] tidy [PERIOD]
tidy [IMPLY] joyous [PERIOD]
tidy [AND] joyous [IMPLY] courageous [PERIOD]
gifted [AND] long [AND] dishonest [IMPLY] fancy [PERIOD]
gifted [AND] versatile [IMPLY] dishonest [PERIOD]
joyous [AND] silly [AND] fearless [IMPLY] comfortable [PERIOD]
... | Proof chain:
Cannot apply rule “gifted ∧ versatile ⇒ dishonest” because missing: gifted, versatile.
Cannot apply rule “fancy ⇒ dishonest” because missing: fancy.
Cannot apply rule “comfortable ∧ tidy ⇒ dishonest” because missing: comfortable, tidy.
Cannot apply rule “tidy ∧ versatile ∧ enchanting ⇒ dishones... | 0 | 5 |
Facts: Batman is spotless [PERIOD] Batman is distinct [PERIOD] Batman is wandering [PERIOD] Batman is powerful [PERIOD]
Rules:
tame [IMPLY] pessimistic [PERIOD]
worried [AND] proud [IMPLY] pessimistic [PERIOD]
tame [AND] famous [IMPLY] worried [PERIOD]
famous [AND] powerful [AND] spotless [IMPLY] pessimistic [PERIOD]
... | Proof chain:
distinct ∧ wandering ⇒ tame
wandering ∧ distinct ⇒ pessimistic
pessimistic ⇒ famous
tame ∧ famous ⇒ worried
worried ∧ spotless ⇒ proud
| 1 | 5 |
Facts: Batman is ugliest [PERIOD] Batman is aggressive [PERIOD] Batman is bad-tempered [PERIOD]
Rules:
adorable [AND] famous [AND] gleaming [IMPLY] attentive [PERIOD]
aggressive [AND] gleaming [IMPLY] victorious [PERIOD]
crowded [AND] famous [AND] aggressive [IMPLY] naughty [PERIOD]
gleaming [IMPLY] exuberant [PERIOD]... | Proof chain:
Cannot apply rule “bossy ∧ fancy ⇒ strange” because missing: bossy, fancy.
Cannot apply rule “crowded ⇒ strange” because missing: crowded.
aggressive ⇒ curious
Cannot apply rule “bad-tempered ∧ crowded ∧ curious ⇒ strange” because missing: crowded.
Cannot apply rule “shy ⇒ strange” because m... | 0 | 5 |
Facts: Batman is thoughtful [PERIOD] Batman is troubled [PERIOD]
Rules:
inquisitive [AND] witty [AND] unpleasant [IMPLY] shiny [PERIOD]
cooperative [IMPLY] frightened [PERIOD]
worried [IMPLY] victorious [PERIOD]
worried [AND] gifted [AND] dull [IMPLY] troubled [PERIOD]
shiny [IMPLY] ambitious [PERIOD]
cruel [AND] tend... | Proof chain:
thoughtful ⇒ enchanting
enchanting ⇒ beautiful
thoughtful ⇒ powerful
beautiful ∧ powerful ⇒ victorious
victorious ⇒ broad-minded
| 1 | 5 |
Facts:
Rules:
comfortable [IMPLY] serious [PERIOD]
comfortable [IMPLY] gorgeous [PERIOD]
comfortable [AND] serious [IMPLY] gorgeous [PERIOD]
comfortable [AND] gorgeous [IMPLY] plain [PERIOD]
comfortable [AND] gorgeous [AND] serious [IMPLY] plain [PERIOD]
comfortable [AND] serious [IMPLY] plain [PERIOD]
plain [AND] ugl... | Proof chain:
Cannot apply rule “comfortable ⇒ serious” because missing: comfortable.
Cannot apply rule “plain ∧ ugly ∧ comfortable ⇒ serious” because missing: plain, ugly, comfortable.
Cannot apply rule “ugly ∧ comfortable ⇒ serious” because missing: ugly, comfortable.
Cannot apply rule “ugly ⇒ serious” bec... | 0 | 5 |
Facts:
Rules:
outrageous [AND] crowded [AND] bad-tempered [IMPLY] agreeable [PERIOD]
agreeable [AND] outrageous [IMPLY] rude [PERIOD]
bad-tempered [AND] attractive [IMPLY] shy [PERIOD]
bad-tempered [AND] crowded [IMPLY] agreeable [PERIOD]
bad-tempered [IMPLY] attractive [PERIOD]
attractive [AND] agreeable [AND] crowde... | Proof chain:
Cannot apply rule “outrageous ∧ crowded ∧ bad-tempered ⇒ agreeable” because missing: outrageous, crowded, bad-tempered.
Cannot apply rule “bad-tempered ∧ crowded ⇒ agreeable” because missing: bad-tempered, crowded.
Cannot apply rule “outrageous ⇒ agreeable” because missing: outrageous.
Cannot a... | 0 | 5 |
Facts: Batman is inquisitive [PERIOD] Batman is worried [PERIOD] Batman is silly [PERIOD] Batman is versatile [PERIOD] Batman is fragile [PERIOD] Batman is talented [PERIOD]
Rules:
silly [AND] worried [IMPLY] sleepy [PERIOD]
stubborn [IMPLY] inquisitive [PERIOD]
scared [AND] silly [AND] grumpy [IMPLY] uptight [PERIOD]... | Proof chain:
versatile ⇒ blushing
Cannot apply rule “blushing ∧ helpless ⇒ scared” because missing: helpless.
silly ∧ worried ⇒ sleepy
sleepy ⇒ impartial
Cannot apply rule “versatile ∧ impartial ∧ stubborn ⇒ scared” because missing: stubborn.
| 0 | 5 |
Facts:
Rules:
straightforward [AND] fearless [AND] lonely [IMPLY] frantic [PERIOD]
sensible [IMPLY] inexpensive [PERIOD]
polite [AND] frantic [AND] tense [IMPLY] spotless [PERIOD]
jittery [AND] innocent [IMPLY] dishonest [PERIOD]
wandering [AND] polite [IMPLY] fancy [PERIOD]
tense [IMPLY] frail [PERIOD]
lonely [AND] f... | Proof chain:
Cannot apply rule “frail ⇒ lonely” because missing: frail.
Cannot apply rule “popular ⇒ lonely” because missing: popular.
Cannot apply rule “straightforward ⇒ lonely” because missing: straightforward.
Cannot apply rule “rational ∧ elated ⇒ lonely” because missing: rational, elated.
Cannot ap... | 0 | 5 |
Facts: Batman is busy [PERIOD] Batman is unpleasant [PERIOD]
Rules:
unpleasant [IMPLY] busy [PERIOD]
blushing [AND] busy [IMPLY] intellectual [PERIOD]
friendly [AND] wandering [AND] calm [IMPLY] intellectual [PERIOD]
wandering [IMPLY] friendly [PERIOD]
crowded [IMPLY] wandering [PERIOD]
crowded [IMPLY] blushing [PERIO... | Proof chain:
Cannot apply rule “crowded ⇒ blushing” because missing: crowded.
Cannot apply rule “friendly ∧ wandering ∧ busy ⇒ blushing” because missing: friendly, wandering.
Cannot apply rule “busy ∧ calm ⇒ blushing” because missing: calm.
Cannot apply rule “friendly ∧ busy ⇒ blushing” because missing: fri... | 0 | 5 |
Facts: Batman is ambitious [PERIOD] Batman is different [PERIOD] Batman is horrible [PERIOD] Batman is helpless [PERIOD] Batman is beautiful [PERIOD] Batman is shy [PERIOD] Batman is polite [PERIOD] Batman is fearless [PERIOD] Batman is courageous [PERIOD]
Rules:
joyous [AND] good [AND] intellectual [IMPLY] shy [PERIO... | Proof chain:
different ⇒ dishonest
shy ∧ ambitious ⇒ frail
ambitious ∧ courageous ∧ different ⇒ joyous
courageous ∧ joyous ∧ shy ⇒ good
dishonest ∧ frail ∧ good ⇒ loving
| 1 | 5 |
Facts: Batman is grumpy [PERIOD] Batman is straightforward [PERIOD]
Rules:
popular [AND] straightforward [AND] excited [IMPLY] calm [PERIOD]
excited [IMPLY] difficult [PERIOD]
victorious [IMPLY] excited [PERIOD]
weary [AND] difficult [IMPLY] sincere [PERIOD]
difficult [IMPLY] easy [PERIOD]
impatient [AND] ambitious [A... | Proof chain:
Cannot apply rule “impatient ∧ ambitious ∧ victorious ⇒ joyous” because missing: impatient, ambitious, victorious.
Cannot apply rule “grumpy ∧ quaint ∧ excited ⇒ joyous” because missing: quaint, excited.
Cannot apply rule “quaint ∧ difficult ∧ helpless ⇒ joyous” because missing: quaint, difficult,... | 0 | 5 |
Facts:
Rules:
horrible [AND] outrageous [AND] zealous [IMPLY] friendly [PERIOD]
average [AND] zealous [AND] witty [IMPLY] friendly [PERIOD]
outrageous [AND] witty [IMPLY] rude [PERIOD]
horrible [AND] zealous [AND] average [IMPLY] outrageous [PERIOD]
horrible [IMPLY] outrageous [PERIOD]
zealous [IMPLY] witty [PERIOD]
a... | Proof chain:
Cannot apply rule “outrageous ∧ witty ⇒ rude” because missing: outrageous, witty.
Cannot apply rule “horrible ⇒ rude” because missing: horrible.
Cannot apply rule “average ⇒ rude” because missing: average.
Cannot apply rule “horrible ∧ outrageous ⇒ rude” because missing: horrible, outrageous.
... | 0 | 5 |
Facts:
Rules:
quaint [AND] homely [AND] plain [IMPLY] powerful [PERIOD]
plain [IMPLY] quaint [PERIOD]
fancy [AND] exuberant [AND] powerful [IMPLY] victorious [PERIOD]
powerful [AND] shiny [IMPLY] homely [PERIOD]
victorious [IMPLY] homely [PERIOD]
straightforward [AND] quaint [IMPLY] fancy [PERIOD]
victorious [AND] fan... | Proof chain:
Cannot apply rule “plain ⇒ quaint” because missing: plain.
Cannot apply rule “shiny ⇒ quaint” because missing: shiny.
Cannot apply rule “plain ∧ victorious ∧ exuberant ⇒ quaint” because missing: plain, victorious, exuberant.
Cannot apply rule “powerful ∧ shiny ⇒ quaint” because missing: powerfu... | 0 | 5 |
Facts: Batman is bright [PERIOD] Batman is troubled [PERIOD]
Rules:
shy [AND] combative [AND] inexpensive [IMPLY] bright [PERIOD]
average [AND] innocent [AND] reserved [IMPLY] shy [PERIOD]
elegant [AND] rational [IMPLY] troubled [PERIOD]
rude [AND] reserved [AND] combative [IMPLY] inexpensive [PERIOD]
reserved [AND] b... | Proof chain:
troubled ⇒ charming
charming ⇒ inexpensive
troubled ⇒ charming
charming ⇒ rational
inexpensive ∧ rational ⇒ sleepy
| 1 | 5 |
Facts: Batman is fragile [PERIOD] Batman is attractive [PERIOD] Batman is careless [PERIOD]
Rules:
fearless [AND] disgusted [AND] homely [IMPLY] sincere [PERIOD]
disgusted [AND] tired [AND] homely [IMPLY] fearless [PERIOD]
tired [AND] hilarious [AND] victorious [IMPLY] fragile [PERIOD]
disgusted [AND] fearless [AND] t... | Proof chain:
attractive ⇒ shy
attractive ⇒ shy
shy ⇒ loving
loving ⇒ hilarious
attractive ∧ shy ∧ hilarious ⇒ victorious
| 1 | 5 |
Facts:
Rules:
serious [AND] versatile [AND] scared [IMPLY] powerful [PERIOD]
enchanting [IMPLY] glamorous [PERIOD]
average [AND] strange [AND] powerful [IMPLY] enchanting [PERIOD]
quaint [AND] versatile [AND] powerful [IMPLY] average [PERIOD]
average [AND] gorgeous [AND] strange [IMPLY] scared [PERIOD]
enchanting [AND... | Proof chain:
Cannot apply rule “enchanting ⇒ glamorous” because missing: enchanting.
Cannot apply rule “enchanting ∧ quaint ⇒ glamorous” because missing: enchanting, quaint.
Cannot apply rule “powerful ∧ average ⇒ glamorous” because missing: powerful, average.
Cannot apply rule “enchanting ∧ scared ∧ proud ... | 0 | 5 |
Facts: Batman is careless [PERIOD] Batman is worrisome [PERIOD] Batman is tidy [PERIOD] Batman is tired [PERIOD] Batman is sensible [PERIOD] Batman is rude [PERIOD] Batman is stupid [PERIOD]
Rules:
impartial [AND] impatient [AND] good [IMPLY] dull [PERIOD]
serious [IMPLY] tidy [PERIOD]
homely [AND] loving [IMPLY] mean... | Proof chain:
sensible ∧ tired ∧ worrisome ⇒ agreeable
tidy ⇒ grumpy
grumpy ∧ worrisome ⇒ wandering
agreeable ∧ wandering ⇒ loving
rude ∧ loving ∧ tired ⇒ bright
| 1 | 5 |
Facts:
Rules:
elegant [AND] busy [AND] frightened [IMPLY] good [PERIOD]
good [AND] ugliest [AND] frightened [IMPLY] comfortable [PERIOD]
ugliest [AND] frightened [IMPLY] good [PERIOD]
comfortable [IMPLY] ugliest [PERIOD]
frightened [AND] elegant [IMPLY] good [PERIOD]
busy [IMPLY] comfortable [PERIOD]
good [AND] fright... | Proof chain:
Cannot apply rule “good ∧ ugliest ∧ frightened ⇒ comfortable” because missing: good, ugliest, frightened.
Cannot apply rule “busy ⇒ comfortable” because missing: busy.
Cannot apply rule “good ∧ frightened ⇒ comfortable” because missing: good, frightened.
Cannot apply rule “ugliest ∧ busy ⇒ comf... | 0 | 5 |
Facts: Batman is worrisome [PERIOD] Batman is hurt [PERIOD] Batman is frantic [PERIOD] Batman is plain [PERIOD] Batman is quaint [PERIOD] Batman is shy [PERIOD] Batman is cute [PERIOD] Batman is bright [PERIOD] Batman is charming [PERIOD]
Rules:
different [AND] beautiful [IMPLY] thoughtful [PERIOD]
sincere [AND] tired... | Proof chain:
quaint ⇒ reserved
quaint ⇒ reserved
reserved ∧ plain ⇒ outrageous
reserved ∧ quaint ∧ outrageous ⇒ cruel
cruel ⇒ beautiful
| 1 | 5 |
Facts: Batman is tidy [PERIOD] Batman is troubled [PERIOD]
Rules:
courageous [IMPLY] uptight [PERIOD]
courageous [IMPLY] naughty [PERIOD]
modern [AND] selfish [IMPLY] homely [PERIOD]
ugly [AND] tidy [AND] selfish [IMPLY] uptight [PERIOD]
anxious [AND] frail [IMPLY] homely [PERIOD]
selfish [AND] tidy [AND] troubled [IM... | Proof chain:
Cannot apply rule “uptight ⇒ anxious” because missing: uptight.
Cannot apply rule “troubled ∧ courageous ∧ uptight ⇒ anxious” because missing: courageous, uptight.
Cannot apply rule “troubled ∧ ugly ⇒ anxious” because missing: ugly.
Cannot apply rule “pessimistic ∧ uptight ∧ homely ⇒ anxious” b... | 0 | 5 |
Facts: Batman is busy [PERIOD] Batman is excited [PERIOD] Batman is talented [PERIOD]
Rules:
bossy [IMPLY] excited [PERIOD]
easy [AND] excited [AND] busy [IMPLY] bossy [PERIOD]
talented [AND] tame [IMPLY] easy [PERIOD]
easy [IMPLY] excited [PERIOD]
tense [AND] easy [AND] wandering [IMPLY] bossy [PERIOD]
excited [AND] ... | Proof chain:
talented ⇒ wandering
talented ⇒ wandering
excited ∧ busy ∧ wandering ⇒ helpless
busy ∧ wandering ∧ helpless ⇒ bossy
bossy ⇒ thoughtless
| 1 | 5 |
Facts: Batman is ugly [PERIOD]
Rules:
reserved [AND] naughty [AND] old-fashioned [IMPLY] versatile [PERIOD]
disobedient [AND] versatile [AND] confident [IMPLY] ugly [PERIOD]
naughty [AND] famous [IMPLY] reserved [PERIOD]
famous [AND] old-fashioned [AND] disobedient [IMPLY] versatile [PERIOD]
disobedient [AND] famous [... | Proof chain:
Cannot apply rule “naughty ∧ famous ⇒ reserved” because missing: naughty, famous.
Cannot apply rule “confident ∧ uptight ⇒ reserved” because missing: confident, uptight.
Cannot apply rule “uptight ⇒ reserved” because missing: uptight.
Cannot apply rule “confident ∧ disobedient ∧ famous ⇒ reserv... | 0 | 5 |
Facts: Batman is bad-tempered [PERIOD] Batman is reserved [PERIOD] Batman is average [PERIOD] Batman is beautiful [PERIOD] Batman is inexpensive [PERIOD] Batman is tidy [PERIOD] Batman is shiny [PERIOD] Batman is fancy [PERIOD] Batman is curious [PERIOD] Batman is bored [PERIOD] Batman is unpleasant [PERIOD] Batman is... | Proof chain:
curious ∧ victorious ⇒ broad-minded
bad-tempered ⇒ confused
confused ∧ shiny ∧ unpleasant ⇒ agreeable
bad-tempered ⇒ mysterious
broad-minded ∧ agreeable ∧ mysterious ⇒ fragile
| 1 | 5 |
Facts:
Rules:
intellectual [AND] elated [IMPLY] sleepy [PERIOD]
worried [AND] naughty [IMPLY] elated [PERIOD]
lonely [AND] worried [AND] elated [IMPLY] intellectual [PERIOD]
worried [AND] elated [AND] sleepy [IMPLY] lonely [PERIOD]
sleepy [IMPLY] lonely [PERIOD]
intellectual [AND] worried [AND] naughty [IMPLY] elated ... | Proof chain:
Cannot apply rule “lonely ∧ worried ∧ elated ⇒ intellectual” because missing: lonely, worried, elated.
Cannot apply rule “lonely ∧ sleepy ∧ worried ⇒ intellectual” because missing: lonely, sleepy, worried.
Cannot apply rule “worried ∧ sleepy ∧ naughty ⇒ intellectual” because missing: worried, slee... | 0 | 5 |
Facts:
Rules:
fearless [IMPLY] cute [PERIOD]
distinct [AND] alert [AND] sincere [IMPLY] wide-eyed [PERIOD]
distinct [AND] ambitious [AND] fearless [IMPLY] sincere [PERIOD]
clumsy [AND] aggressive [AND] gifted [IMPLY] sincere [PERIOD]
aggressive [IMPLY] inexpensive [PERIOD]
gifted [AND] inexpensive [AND] ambitious [IMP... | Proof chain:
Cannot apply rule “fearless ⇒ cute” because missing: fearless.
Cannot apply rule “distinct ⇒ cute” because missing: distinct.
Cannot apply rule “inexpensive ⇒ cute” because missing: inexpensive.
Cannot apply rule “alert ∧ ambitious ⇒ cute” because missing: alert, ambitious.
Cannot apply rule... | 0 | 5 |
Facts: Batman is outrageous [PERIOD] Batman is rational [PERIOD]
Rules:
inexpensive [AND] nervous [IMPLY] shy [PERIOD]
ambitious [IMPLY] versatile [PERIOD]
average [AND] inquisitive [AND] inexpensive [IMPLY] cooperative [PERIOD]
jittery [IMPLY] different [PERIOD]
nervous [AND] jittery [IMPLY] different [PERIOD]
versat... | Proof chain:
outrageous ⇒ jittery
jittery ⇒ different
rational ⇒ helpful
helpful ∧ rational ∧ outrageous ⇒ inexpensive
different ∧ inexpensive ⇒ versatile
| 1 | 5 |
Facts: Batman is hilarious [PERIOD] Batman is charming [PERIOD] Batman is weary [PERIOD]
Rules:
different [AND] attractive [AND] comfortable [IMPLY] ugly [PERIOD]
disobedient [AND] different [IMPLY] attractive [PERIOD]
hilarious [AND] different [AND] disobedient [IMPLY] worrisome [PERIOD]
comfortable [AND] attractive ... | Proof chain:
hilarious ∧ weary ⇒ comfortable
charming ∧ comfortable ⇒ shiny
hilarious ∧ weary ⇒ comfortable
shiny ∧ comfortable ⇒ inexpensive
inexpensive ⇒ worrisome
| 1 | 5 |
Facts:
Rules:
broad-minded [AND] excited [IMPLY] spotless [PERIOD]
broad-minded [AND] precious [IMPLY] ambitious [PERIOD]
innocent [AND] pleasant [AND] gleaming [IMPLY] precious [PERIOD]
ambitious [AND] strange [AND] gleaming [IMPLY] excited [PERIOD]
unpleasant [AND] strange [AND] gleaming [IMPLY] pleasant [PERIOD]
ex... | Proof chain:
Cannot apply rule “broad-minded ∧ pleasant ∧ innocent ⇒ ugliest” because missing: broad-minded, pleasant, innocent.
Cannot apply rule “fearless ⇒ ugliest” because missing: fearless.
Cannot apply rule “precious ∧ comfortable ⇒ ugliest” because missing: precious, comfortable.
Cannot apply rule “p... | 0 | 5 |
Facts: Batman is frightened [PERIOD]
Rules:
alert [AND] light [IMPLY] fine [PERIOD]
charming [AND] inquisitive [AND] thoughtless [IMPLY] straightforward [PERIOD]
bossy [IMPLY] inquisitive [PERIOD]
thoughtful [AND] witty [IMPLY] shy [PERIOD]
fine [IMPLY] average [PERIOD]
thoughtful [AND] hurt [AND] witty [IMPLY] bossy ... | Proof chain:
frightened ⇒ outrageous
frightened ⇒ bossy
bossy ⇒ inquisitive
outrageous ∧ inquisitive ⇒ ambitious
ambitious ⇒ hurt
| 1 | 5 |
Facts: Batman is troubled [PERIOD] Batman is famous [PERIOD] Batman is sensible [PERIOD] Batman is zealous [PERIOD] Batman is fancy [PERIOD] Batman is confused [PERIOD] Batman is broad-minded [PERIOD] Batman is condemned [PERIOD] Batman is stormy [PERIOD] Batman is spotless [PERIOD]
Rules:
perfect [IMPLY] sensible [PE... | Proof chain:
troubled ⇒ bright
famous ∧ fancy ⇒ excited
bright ∧ excited ∧ fancy ⇒ tidy
famous ∧ fancy ⇒ excited
tidy ∧ excited ∧ sensible ⇒ muddy
| 1 | 5 |
Facts: Batman is careless [PERIOD] Batman is beautiful [PERIOD]
Rules:
stubborn [AND] disgusted [AND] beautiful [IMPLY] frantic [PERIOD]
inquisitive [AND] sleepy [AND] beautiful [IMPLY] difficult [PERIOD]
inquisitive [IMPLY] zealous [PERIOD]
disobedient [AND] beautiful [AND] grumpy [IMPLY] disgusted [PERIOD]
sincere [... | Proof chain:
Cannot apply rule “inquisitive ∧ sleepy ∧ beautiful ⇒ difficult” because missing: inquisitive, sleepy.
Cannot apply rule “beautiful ∧ inquisitive ⇒ difficult” because missing: inquisitive.
Cannot apply rule “disobedient ∧ sincere ∧ frantic ⇒ difficult” because missing: disobedient, sincere, franti... | 0 | 5 |
Facts: Batman is quaint [PERIOD] Batman is unpleasant [PERIOD] Batman is victorious [PERIOD] Batman is disgusted [PERIOD] Batman is ambitious [PERIOD] Batman is wandering [PERIOD] Batman is distinct [PERIOD]
Rules:
mysterious [IMPLY] tame [PERIOD]
innocent [AND] cooperative [IMPLY] spotless [PERIOD]
wandering [IMPLY] ... | Proof chain:
distinct ⇒ embarrassed
quaint ∧ embarrassed ⇒ tame
distinct ∧ unpleasant ∧ quaint ⇒ aggressive
aggressive ⇒ spotless
tame ∧ spotless ⇒ precious
| 1 | 5 |
Facts: Batman is confident [PERIOD] Batman is old-fashioned [PERIOD]
Rules:
embarrassed [AND] vivacious [IMPLY] powerful [PERIOD]
powerful [IMPLY] ugliest [PERIOD]
elegant [AND] tame [AND] ugliest [IMPLY] spotless [PERIOD]
ugliest [AND] old-fashioned [AND] spotless [IMPLY] embarrassed [PERIOD]
serious [IMPLY] unpleasa... | Proof chain:
confident ⇒ ugliest
confident ⇒ tame
tame ⇒ powerful
powerful ⇒ elegant
ugliest ∧ elegant ⇒ serious
| 1 | 5 |
Facts: Batman is different [PERIOD] Batman is smart [PERIOD] Batman is thoughtful [PERIOD]
Rules:
ugly [AND] thoughtful [AND] condemned [IMPLY] elegant [PERIOD]
thoughtful [AND] fine [AND] diplomatic [IMPLY] sleepy [PERIOD]
smart [IMPLY] ugly [PERIOD]
ugly [AND] smart [AND] wandering [IMPLY] good [PERIOD]
wandering [A... | Proof chain:
smart ⇒ ugly
thoughtful ∧ ugly ∧ smart ⇒ fine
smart ⇒ wandering
wandering ⇒ diplomatic
fine ∧ thoughtful ∧ diplomatic ⇒ condemned
| 1 | 5 |
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